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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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Results (1-50 of 462 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
4-1-1.1-r0e4-m0.06m7.93m16.63p24.63-0 $0.504$ $0.0646$ $4$ $1$ 1.1 $-0.0621i, -7.93i, -16.6i, 24.6i$ ✓ $0$ $0$ $10.6322$
4-1-1.1-r0e4-p0.06p7.93p16.63m24.63-0 $0.504$ $0.0646$ $4$ $1$ 1.1 $0.0621i, 7.93i, 16.6i, -24.6i$ ✓ $0$ $0$ $0.396327$
4-1-1.1-r0e4-m0.26p5.89p16.92m22.55-0 $0.560$ $0.0983$ $4$ $1$ 1.1 $-0.257i, 5.88i, 16.9i, -22.5i$ ✓ $0$ $0$ $4.70854$
4-1-1.1-r0e4-p0.26m5.89m16.92p22.55-0 $0.560$ $0.0983$ $4$ $1$ 1.1 $0.257i, -5.88i, -16.9i, 22.5i$ ✓ $0$ $0$ $10.8298$
4-1-1.1-r0e4-m0.41p6.42p15.50m21.50-0 $0.674$ $0.206$ $4$ $1$ 1.1 $-0.411i, 6.41i, 15.4i, -21.5i$ ✓ $0$ $0$ $4.36507$
4-1-1.1-r0e4-p0.41m6.42m15.50p21.50-0 $0.674$ $0.206$ $4$ $1$ 1.1 $0.411i, -6.41i, -15.4i, 21.5i$ ✓ $0$ $0$ $11.6744$
4-1-1.1-r0e4-m0.79p6.50p16.37m22.07-0 $0.959$ $0.847$ $4$ $1$ 1.1 $-0.793i, 6.49i, 16.3i, -22.0i$ ✓ $0$ $0$ $2.92355$
4-1-1.1-r0e4-p0.79m6.50m16.37p22.07-0 $0.959$ $0.847$ $4$ $1$ 1.1 $0.793i, -6.49i, -16.3i, 22.0i$ ✓ $0$ $0$ $9.93676$
4-1-1.1-r0e4-m0.82m8.13m14.59p23.54-0 $1.01$ $1.07$ $4$ $1$ 1.1 $-0.822i, -8.12i, -14.5i, 23.5i$ ✓ $0$ $0$ $17.8330$
4-1-1.1-r0e4-p0.82p8.13p14.59m23.54-0 $1.01$ $1.07$ $4$ $1$ 1.1 $0.822i, 8.12i, 14.5i, -23.5i$ ✓ $0$ $0$ $2.60944$
4-1-1.1-r0e4-m1.20p3.82p19.88m22.50-0 $1.04$ $1.18$ $4$ $1$ 1.1 $-1.20i, 3.81i, 19.8i, -22.4i$ ✓ $0$ $0$ $6.53578$
4-1-1.1-r0e4-p1.20m3.82m19.88p22.50-0 $1.04$ $1.18$ $4$ $1$ 1.1 $1.20i, -3.81i, -19.8i, 22.4i$ ✓ $0$ $0$ $9.03017$
4-1-1.1-r0e4-m0.88p8.89p14.51m22.52-0 $1.05$ $1.25$ $4$ $1$ 1.1 $-0.877i, 8.89i, 14.5i, -22.5i$ ✓ $0$ $0$ $4.36082$
4-1-1.1-r0e4-p0.88m8.89m14.51p22.52-0 $1.05$ $1.25$ $4$ $1$ 1.1 $0.877i, -8.89i, -14.5i, 22.5i$ ✓ $0$ $0$ $2.90315$
4-1-1.1-r0e4-c2.26c21.57-0 $1.10$ $1.49$ $4$ $1$ 1.1 $-2.26i, 2.26i, -21.5i, 21.5i$ ✓ ✓ $0$ $0$ $8.00121$
4-1-1.1-r0e4-m1.49p4.26p18.43m21.20-0 $1.10$ $1.51$ $4$ $1$ 1.1 $-1.49i, 4.26i, 18.4i, -21.2i$ ✓ $0$ $0$ $6.12063$
4-1-1.1-r0e4-p1.49m4.26m18.43p21.20-0 $1.10$ $1.51$ $4$ $1$ 1.1 $1.49i, -4.26i, -18.4i, 21.2i$ ✓ $0$ $0$ $9.30431$
4-1-1.1-r0e4-m1.02p6.40p18.58m23.96-0 $1.11$ $1.56$ $4$ $1$ 1.1 $-1.02i, 6.40i, 18.5i, -23.9i$ ✓ $0$ $0$ $3.21814$
4-1-1.1-r0e4-p1.02m6.40m18.58p23.96-0 $1.11$ $1.56$ $4$ $1$ 1.1 $1.02i, -6.40i, -18.5i, 23.9i$ ✓ $0$ $0$ $7.36091$
4-1-1.1-r0e4-m1.69p4.66p16.94m19.92-0 $1.13$ $1.64$ $4$ $1$ 1.1 $-1.68i, 4.66i, 16.9i, -19.9i$ ✓ $0$ $0$ $6.48573$
4-1-1.1-r0e4-p1.69m4.66m16.94p19.92-0 $1.13$ $1.64$ $4$ $1$ 1.1 $1.68i, -4.66i, -16.9i, 19.9i$ ✓ $0$ $0$ $9.69629$
4-1-1.1-r0e4-m1.63p4.25p19.47m22.09-0 $1.16$ $1.83$ $4$ $1$ 1.1 $-1.62i, 4.25i, 19.4i, -22.0i$ ✓ $0$ $0$ $5.04136$
4-1-1.1-r0e4-p1.63m4.25m19.47p22.09-0 $1.16$ $1.83$ $4$ $1$ 1.1 $1.62i, -4.25i, -19.4i, 22.0i$ ✓ $0$ $0$ $8.46570$
4-1-1.1-r0e4-c2.71c20.02-0 $1.16$ $1.86$ $4$ $1$ 1.1 $-2.71i, 2.71i, -20.0i, 20.0i$ ✓ ✓ $0$ $0$ $8.06923$
4-1-1.1-r0e4-m1.97p5.10p15.91m19.04-0 $1.17$ $1.91$ $4$ $1$ 1.1 $-1.97i, 5.10i, 15.9i, -19.0i$ ✓ $0$ $0$ $5.68994$
4-1-1.1-r0e4-p1.97m5.10m15.91p19.04-0 $1.17$ $1.91$ $4$ $1$ 1.1 $1.97i, -5.10i, -15.9i, 19.0i$ ✓ $0$ $0$ $9.56782$
4-1-1.1-r0e4-m2.27p6.04p13.14m16.90-0 $1.17$ $1.92$ $4$ $1$ 1.1 $-2.27i, 6.03i, 13.1i, -16.8i$ ✓ $0$ $0$ $6.02832$
4-1-1.1-r0e4-p2.27m6.04m13.14p16.90-0 $1.17$ $1.92$ $4$ $1$ 1.1 $2.27i, -6.03i, -13.1i, 16.8i$ ✓ $0$ $0$ $16.1890$
4-1-1.1-r0e4-m1.14p7.61p17.31m23.78-0 $1.19$ $2.02$ $4$ $1$ 1.1 $-1.14i, 7.60i, 17.3i, -23.7i$ ✓ $0$ $0$ $3.69633$
4-1-1.1-r0e4-p1.14m7.61m17.31p23.78-0 $1.19$ $2.02$ $4$ $1$ 1.1 $1.14i, -7.60i, -17.3i, 23.7i$ ✓ $0$ $0$ $4.29441$
4-1-1.1-r0e4-c3.20c17.88-0 $1.20$ $2.07$ $4$ $1$ 1.1 $-3.19i, 3.19i, -17.8i, 17.8i$ ✓ ✓ $0$ $0$ $8.40243$
4-1-1.1-r0e4-m1.69p4.20p20.71m23.22-0 $1.20$ $2.11$ $4$ $1$ 1.1 $-1.68i, 4.20i, 20.7i, -23.2i$ ✓ $0$ $0$ $4.66932$
4-1-1.1-r0e4-p1.69m4.20m20.71p23.22-0 $1.20$ $2.11$ $4$ $1$ 1.1 $1.68i, -4.20i, -20.7i, 23.2i$ ✓ $0$ $0$ $7.60308$
4-1-1.1-r0e4-c3.08c19.08-0 $1.21$ $2.20$ $4$ $1$ 1.1 $-3.08i, 3.08i, -19.0i, 19.0i$ ✓ ✓ $0$ $0$ $7.39921$
4-1-1.1-r0e4-c4.72c12.47-0 $1.21$ $2.21$ $4$ $1$ 1.1 $-4.72i, 4.72i, -12.4i, 12.4i$ ✓ ✓ $0$ $0$ $14.4960$
4-1-1.1-r0e4-m1.95p4.74p18.21m21.00-0 $1.22$ $2.22$ $4$ $1$ 1.1 $-1.95i, 4.74i, 18.2i, -21.0i$ ✓ $0$ $0$ $4.91033$
4-1-1.1-r0e4-p1.95m4.74m18.21p21.00-0 $1.22$ $2.22$ $4$ $1$ 1.1 $1.95i, -4.74i, -18.2i, 21.0i$ ✓ $0$ $0$ $7.97811$
4-1-1.1-r0e4-c4.03c14.73-0 $1.22$ $2.24$ $4$ $1$ 1.1 $-4.02i, 4.02i, -14.7i, 14.7i$ ✓ ✓ $0$ $0$ $9.01112$
4-1-1.1-r0e4-m1.85p4.51p19.59m22.25-0 $1.22$ $2.27$ $4$ $1$ 1.1 $-1.85i, 4.50i, 19.5i, -22.2i$ ✓ $0$ $0$ $4.90148$
4-1-1.1-r0e4-p1.85m4.51m19.59p22.25-0 $1.22$ $2.27$ $4$ $1$ 1.1 $1.85i, -4.50i, -19.5i, 22.2i$ ✓ $0$ $0$ $7.39147$
4-1-1.1-r0e4-c3.71c16.17-0 $1.23$ $2.29$ $4$ $1$ 1.1 $-3.71i, 3.71i, -16.1i, 16.1i$ ✓ ✓ $0$ $0$ $8.08759$
4-1-1.1-r0e4-c2.90c20.77-0 $1.23$ $2.30$ $4$ $1$ 1.1 $-2.90i, 2.90i, -20.7i, 20.7i$ ✓ ✓ $0$ $0$ $6.72766$
4-1-1.1-r0e4-m1.34p8.51p15.21m22.38-0 $1.23$ $2.31$ $4$ $1$ 1.1 $-1.34i, 8.50i, 15.2i, -22.3i$ ✓ $0$ $0$ $3.01345$
4-1-1.1-r0e4-p1.34m8.51m15.21p22.38-0 $1.23$ $2.31$ $4$ $1$ 1.1 $1.34i, -8.50i, -15.2i, 22.3i$ ✓ $0$ $0$ $4.35458$
4-1-1.1-r0e4-m1.85p4.46p21.07m23.68-0 $1.26$ $2.58$ $4$ $1$ 1.1 $-1.85i, 4.45i, 21.0i, -23.6i$ ✓ $0$ $0$ $5.21454$
4-1-1.1-r0e4-p1.85m4.46m21.07p23.68-0 $1.26$ $2.58$ $4$ $1$ 1.1 $1.85i, -4.45i, -21.0i, 23.6i$ ✓ $0$ $0$ $6.34638$
4-1-1.1-r0e4-m1.49p7.64p16.67m22.82-0 $1.27$ $2.63$ $4$ $1$ 1.1 $-1.48i, 7.63i, 16.6i, -22.8i$ ✓ $0$ $0$ $2.54889$
4-1-1.1-r0e4-p1.49m7.64m16.67p22.82-0 $1.27$ $2.63$ $4$ $1$ 1.1 $1.48i, -7.63i, -16.6i, 22.8i$ ✓ $0$ $0$ $5.81915$
4-1-1.1-r0e4-c3.62c18.85-0 $1.31$ $2.97$ $4$ $1$ 1.1 $-3.62i, 3.62i, -18.8i, 18.8i$ ✓ ✓ $0$ $0$ $6.08618$
4-1-1.1-r0e4-m1.78p6.26p18.87m23.35-0 $1.32$ $3.06$ $4$ $1$ 1.1 $-1.78i, 6.25i, 18.8i, -23.3i$ ✓ $0$ $0$ $6.20232$
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