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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 (16 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
1-600-600.203-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.203 $1$ 0 ✓ ✓ $0.290$ $0$ $1.30098$ Character $\chi_{600}(203, \cdot)$
1-600-600.221-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.221 $1$ 0 ✓ ✓ $0.0400$ $0$ $0.890809$ Character $\chi_{600}(221, \cdot)$
1-600-600.227-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.227 $1$ 0 ✓ ✓ $-0.280$ $0$ $0.342268$ Character $\chi_{600}(227, \cdot)$
1-600-600.269-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.269 $1$ 0 ✓ ✓ $-0.0400$ $0$ $0.469401$ Character $\chi_{600}(269, \cdot)$
1-600-600.29-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.29 $1$ 0 ✓ ✓ $0.0400$ $0$ $0.578055$ Character $\chi_{600}(29, \cdot)$
1-600-600.323-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.323 $1$ 0 ✓ ✓ $0.220$ $0$ $1.07063$ Character $\chi_{600}(323, \cdot)$
1-600-600.341-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.341 $1$ 0 ✓ ✓ $0.280$ $0$ $1.36844$ Character $\chi_{600}(341, \cdot)$
1-600-600.347-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.347 $1$ 0 ✓ ✓ $0.290$ $0$ $1.10801$ Character $\chi_{600}(347, \cdot)$
1-600-600.389-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.389 $1$ 0 ✓ ✓ $0.220$ $0$ $0.929397$ Character $\chi_{600}(389, \cdot)$
1-600-600.461-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.461 $1$ 0 ✓ ✓ $-0.280$ $0$ $0.480682$ Character $\chi_{600}(461, \cdot)$
1-600-600.467-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.467 $1$ 0 ✓ ✓ $-0.290$ $0$ $0.546558$ Character $\chi_{600}(467, \cdot)$
1-600-600.509-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.509 $1$ 0 ✓ ✓ $-0.220$ $0$ $0.339464$ Character $\chi_{600}(509, \cdot)$
1-600-600.563-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.563 $1$ 0 ✓ ✓ $0.280$ $0$ $1.06615$ Character $\chi_{600}(563, \cdot)$
1-600-600.581-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.581 $1$ 0 ✓ ✓ $-0.0400$ $0$ $0.740759$ Character $\chi_{600}(581, \cdot)$
1-600-600.587-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.587 $1$ 0 ✓ ✓ $-0.220$ $0$ $0.552910$ Character $\chi_{600}(587, \cdot)$
1-600-600.83-r1-0-0 $64.4$ $64.4$ $1$ $2^{3} \cdot 3 \cdot 5^{2}$ 600.83 $1$ 0 ✓ ✓ $-0.290$ $0$ $0.213909$ Character $\chi_{600}(83, \cdot)$
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