↑

Learn more

Refine search

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
Sort order Select

Results (1-50 of 74 matches)

Next   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
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-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-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-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-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-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-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-c3.52c20.15-0 $1.33$ $3.20$ $4$ $1$ 1.1 $-3.52i, 3.52i, -20.1i, 20.1i$ ✓ ✓ $0$ $0$ $5.67900$
4-1-1.1-r0e4-c4.18c17.35-0 $1.35$ $3.35$ $4$ $1$ 1.1 $-4.18i, 4.18i, -17.3i, 17.3i$ ✓ ✓ $0$ $0$ $5.64796$
4-1-1.1-r0e4-c5.57c15.63-0 $1.48$ $4.85$ $4$ $1$ 1.1 $-5.57i, 5.57i, -15.6i, 15.6i$ ✓ ✓ $0$ $0$ $3.58369$
4-1-1.1-r0e4-c4.98c18.90-0 $1.54$ $5.66$ $4$ $1$ 1.1 $-4.98i, 4.98i, -18.9i, 18.9i$ ✓ ✓ $0$ $0$ $3.20609$
4-1-1.1-r0e4-c6.41c14.84-0 $1.55$ $5.79$ $4$ $1$ 1.1 $-6.41i, 6.41i, -14.8i, 14.8i$ ✓ ✓ $0$ $0$ $1.99981$
4-1-1.1-r0e4-c5.56c17.39-0 $1.56$ $5.97$ $4$ $1$ 1.1 $-5.55i, 5.55i, -17.3i, 17.3i$ ✓ ✓ $0$ $0$ $2.52853$
4-1-1.1-r0e4-c6.06c16.19-0 $1.57$ $6.16$ $4$ $1$ 1.1 $-6.05i, 6.05i, -16.1i, 16.1i$ ✓ ✓ $0$ $0$ $1.87972$
4-1-1.1-r0e4-c6.16c16.79-0 $1.61$ $6.85$ $4$ $1$ 1.1 $-6.16i, 6.16i, -16.7i, 16.7i$ ✓ ✓ $0$ $0$ $0.455583$
4-1-1.1-r0e4-c5.20c19.95-0 $1.61$ $6.87$ $4$ $1$ 1.1 $-5.19i, 5.19i, -19.9i, 19.9i$ ✓ ✓ $0$ $0$ $2.09458$
4-1-1.1-r0e4-c5.72c18.22-0 $1.62$ $6.94$ $4$ $1$ 1.1 $-5.71i, 5.71i, -18.2i, 18.2i$ ✓ ✓ $0$ $0$ $1.30558$
4-1-1.1-r0e4-c5.61c19.22-0 $1.65$ $7.44$ $4$ $1$ 1.1 $-5.61i, 5.61i, -19.2i, 19.2i$ ✓ ✓ $0$ $0$ $0.501720$
4-1-1.1-r0e4-c5.41c20.59-0 $1.67$ $7.94$ $4$ $1$ 1.1 $-5.41i, 5.41i, -20.5i, 20.5i$ ✓ ✓ $0$ $0$ $0.367400$
4-1-1.1-r0e4-c5.13c21.88-0 $1.68$ $8.04$ $4$ $1$ 1.1 $-5.12i, 5.12i, -21.8i, 21.8i$ ✓ ✓ $0$ $0$ $0.690745$
4-1-1.1-r0e4-c8.83c14.09-0 $1.77$ $9.92$ $4$ $1$ 1.1 $-8.83i, 8.83i, -14.0i, 14.0i$ ✓ ✓ $0$ $0$ $1.11512$
4-1-1.1-r0e4-c6.21c20.23-0 $1.78$ $10.0$ $4$ $1$ 1.1 $-6.20i, 6.20i, -20.2i, 20.2i$ ✓ ✓ $0$ $0$ $2.94311$
4-1-1.1-r0e4-c8.26c15.23-0 $1.78$ $10.1$ $4$ $1$ 1.1 $-8.25i, 8.25i, -15.2i, 15.2i$ ✓ ✓ $0$ $0$ $2.26101$
4-1-1.1-r0e4-c8.12c16.00-0 $1.81$ $10.8$ $4$ $1$ 1.1 $-8.12i, 8.12i, -16.0i, 16.0i$ ✓ ✓ $0$ $0$ $0.401786$
4-1-1.1-r0e4-c7.66c17.02-0 $1.81$ $10.9$ $4$ $1$ 1.1 $-7.66i, 7.66i, -17.0i, 17.0i$ ✓ ✓ $0$ $0$ $1.56383$
4-1-1.1-r0e4-c6.20c21.36-0 $1.83$ $11.2$ $4$ $1$ 1.1 $-6.19i, 6.19i, -21.3i, 21.3i$ ✓ ✓ $0$ $0$ $1.99067$
4-1-1.1-r0e4-c7.21c18.39-0 $1.83$ $11.2$ $4$ $1$ 1.1 $-7.21i, 7.21i, -18.3i, 18.3i$ ✓ ✓ $0$ $0$ $1.56803$
4-1-1.1-r0e4-c6.97c19.31-0 $1.84$ $11.5$ $4$ $1$ 1.1 $-6.97i, 6.97i, -19.3i, 19.3i$ ✓ ✓ $0$ $0$ $0.279793$
4-1-1.1-r0e4-c6.35c21.21-0 $1.84$ $11.6$ $4$ $1$ 1.1 $-6.34i, 6.34i, -21.2i, 21.2i$ ✓ ✓ $0$ $0$ $1.83858$
4-1-1.1-r0e4-c7.02c20.35-0 $1.90$ $13.0$ $4$ $1$ 1.1 $-7.01i, 7.01i, -20.3i, 20.3i$ ✓ ✓ $0$ $0$ $2.17609$
4-1-1.1-r0e4-c7.71c18.53-0 $1.90$ $13.0$ $4$ $1$ 1.1 $-7.70i, 7.70i, -18.5i, 18.5i$ ✓ ✓ $0$ $0$ $0.400785$
4-1-1.1-r0e4-c8.39c17.24-0 $1.91$ $13.3$ $4$ $1$ 1.1 $-8.38i, 8.38i, -17.2i, 17.2i$ ✓ ✓ $0$ $0$ $1.01144$
4-1-1.1-r0e4-c7.80c18.55-0 $1.91$ $13.4$ $4$ $1$ 1.1 $-7.79i, 7.79i, -18.5i, 18.5i$ ✓ ✓ $0$ $0$ $2.02540$
4-1-1.1-r0e4-c9.46c15.62-0 $1.93$ $14.0$ $4$ $1$ 1.1 $-9.46i, 9.46i, -15.6i, 15.6i$ ✓ ✓ $0$ $0$ $0.823577$
4-1-1.1-r0e4-c7.20c21.20-0 $1.96$ $14.9$ $4$ $1$ 1.1 $-7.20i, 7.20i, -21.2i, 21.2i$ ✓ ✓ $0$ $0$ $1.34027$
4-1-1.1-r0e4-c9.58c16.55-0 $2.00$ $16.0$ $4$ $1$ 1.1 $-9.57i, 9.57i, -16.5i, 16.5i$ ✓ ✓ $0$ $0$ $1.81237$
4-1-1.1-r0e4-c9.58c16.81-0 $2.01$ $16.6$ $4$ $1$ 1.1 $-9.58i, 9.58i, -16.8i, 16.8i$ ✓ ✓ $0$ $0$ $0.620063$
4-1-1.1-r0e4-c9.18c17.99-0 $2.04$ $17.4$ $4$ $1$ 1.1 $-9.18i, 9.18i, -17.9i, 17.9i$ ✓ ✓ $0$ $0$ $0.311227$
4-1-1.1-r0e4-c8.53c19.82-0 $2.06$ $18.3$ $4$ $1$ 1.1 $-8.53i, 8.53i, -19.8i, 19.8i$ ✓ ✓ $0$ $0$ $2.48044$
4-1-1.1-r0e4-c8.89c19.05-0 $2.07$ $18.3$ $4$ $1$ 1.1 $-8.89i, 8.89i, -19.0i, 19.0i$ ✓ ✓ $0$ $0$ $0.518892$
4-1-1.1-r0e4-c9.57c17.99-0 $2.08$ $18.9$ $4$ $1$ 1.1 $-9.56i, 9.56i, -17.9i, 17.9i$ ✓ ✓ $0$ $0$ $1.31463$
4-1-1.1-r0e4-c8.54c20.41-0 $2.10$ $19.4$ $4$ $1$ 1.1 $-8.54i, 8.54i, -20.4i, 20.4i$ ✓ ✓ $0$ $0$ $0.660822$
4-1-1.1-r0e4-c9.91c17.65-0 $2.10$ $19.6$ $4$ $1$ 1.1 $-9.90i, 9.90i, -17.6i, 17.6i$ ✓ ✓ $0$ $0$ $0.973522$
4-1-1.1-r0e4-c10.06c17.50-0 $2.11$ $19.8$ $4$ $1$ 1.1 $-10.0i, 10.0i, -17.4i, 17.4i$ ✓ ✓ $0$ $0$ $0.818106$
4-1-1.1-r0e4-c10.43c17.13-0 $2.12$ $20.4$ $4$ $1$ 1.1 $-10.4i, 10.4i, -17.1i, 17.1i$ ✓ ✓ $0$ $0$ $0.451367$
4-1-1.1-r0e4-c10.74c16.82-0 $2.13$ $20.9$ $4$ $1$ 1.1 $-10.7i, 10.7i, -16.8i, 16.8i$ ✓ ✓ $0$ $0$ $0.142749$
4-1-1.1-r0e4-c10.78c16.78-0 $2.13$ $20.9$ $4$ $1$ 1.1 $-10.7i, 10.7i, -16.7i, 16.7i$ ✓ ✓ $0$ $0$ $0.101811$
4-1-1.1-r0e4-c9.18c19.98-0 $2.15$ $21.5$ $4$ $1$ 1.1 $-9.18i, 9.18i, -19.9i, 19.9i$ ✓ ✓ $0$ $0$ $0.760354$
Next   displayed columns for results