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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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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-405-135.103-c2-0-0 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.329$ $0$ $0.00726148$ Modular form 405.3.s.a.118.13
2-405-135.103-c2-0-1 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.493$ $0$ $0.371547$ Modular form 405.3.s.a.118.9
2-405-135.103-c2-0-10 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.197$ $0$ $1.00636$ Modular form 405.3.s.a.118.18
2-405-135.103-c2-0-11 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.0842$ $0$ $1.02547$ Modular form 405.3.s.a.118.15
2-405-135.103-c2-0-12 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.0697$ $0$ $1.14363$ Modular form 405.3.s.a.118.25
2-405-135.103-c2-0-13 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.222$ $0$ $1.14953$ Modular form 405.3.s.a.118.12
2-405-135.103-c2-0-14 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.289$ $0$ $1.15209$ Modular form 405.3.s.a.118.11
2-405-135.103-c2-0-15 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.0247$ $0$ $1.21810$ Modular form 405.3.s.a.118.3
2-405-135.103-c2-0-16 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.355$ $0$ $1.35148$ Modular form 405.3.s.a.118.33
2-405-135.103-c2-0-17 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.142$ $0$ $1.36611$ Modular form 405.3.s.a.118.1
2-405-135.103-c2-0-18 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.0358$ $0$ $1.40196$ Modular form 405.3.s.a.118.19
2-405-135.103-c2-0-19 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.166$ $0$ $1.43381$ Modular form 405.3.s.a.118.24
2-405-135.103-c2-0-2 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.312$ $0$ $0.386086$ Modular form 405.3.s.a.118.4
2-405-135.103-c2-0-20 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.00821$ $0$ $1.51181$ Modular form 405.3.s.a.118.16
2-405-135.103-c2-0-21 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.165$ $0$ $1.54370$ Modular form 405.3.s.a.118.8
2-405-135.103-c2-0-22 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.263$ $0$ $1.55474$ Modular form 405.3.s.a.118.21
2-405-135.103-c2-0-23 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.444$ $0$ $1.67534$ Modular form 405.3.s.a.118.28
2-405-135.103-c2-0-24 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.110$ $0$ $1.71314$ Modular form 405.3.s.a.118.10
2-405-135.103-c2-0-25 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.366$ $0$ $1.73059$ Modular form 405.3.s.a.118.26
2-405-135.103-c2-0-26 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.0867$ $0$ $1.73565$ Modular form 405.3.s.a.118.5
2-405-135.103-c2-0-27 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.329$ $0$ $1.97013$ Modular form 405.3.s.a.118.22
2-405-135.103-c2-0-28 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.419$ $0$ $2.15507$ Modular form 405.3.s.a.118.23
2-405-135.103-c2-0-29 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.360$ $0$ $2.19509$ Modular form 405.3.s.a.118.30
2-405-135.103-c2-0-3 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.0297$ $0$ $0.437593$ Modular form 405.3.s.a.118.31
2-405-135.103-c2-0-30 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.296$ $0$ $2.35459$ Modular form 405.3.s.a.118.27
2-405-135.103-c2-0-31 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.456$ $0$ $2.41707$ Modular form 405.3.s.a.118.20
2-405-135.103-c2-0-32 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.261$ $0$ $2.68756$ Modular form 405.3.s.a.118.29
2-405-135.103-c2-0-33 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.175$ $0$ $2.81321$ Modular form 405.3.s.a.118.34
2-405-135.103-c2-0-4 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.114$ $0$ $0.588400$ Modular form 405.3.s.a.118.32
2-405-135.103-c2-0-5 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.274$ $0$ $0.651240$ Modular form 405.3.s.a.118.17
2-405-135.103-c2-0-6 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.468$ $0$ $0.750094$ Modular form 405.3.s.a.118.7
2-405-135.103-c2-0-7 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $0.427$ $0$ $0.803505$ Modular form 405.3.s.a.118.6
2-405-135.103-c2-0-8 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.374$ $0$ $0.814421$ Modular form 405.3.s.a.118.2
2-405-135.103-c2-0-9 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.103 $2.0$ $2$ ✓ ✓ $-0.233$ $0$ $0.987230$ Modular form 405.3.s.a.118.14
2-405-135.104-c2-0-0 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $-0.166$ $0$ $0.0000811899$ Modular form 405.3.n.a.179.6
2-405-135.104-c2-0-1 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $-0.181$ $0$ $0.249220$ Modular form 405.3.n.a.179.15
2-405-135.104-c2-0-10 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $0.0302$ $0$ $0.886338$ Modular form 405.3.n.a.179.9
2-405-135.104-c2-0-11 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $0.0631$ $0$ $0.941720$ Modular form 405.3.n.a.179.4
2-405-135.104-c2-0-12 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $0.288$ $0$ $1.10456$ Modular form 405.3.n.a.179.10
2-405-135.104-c2-0-13 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $0.255$ $0$ $1.20387$ Modular form 405.3.n.a.179.14
2-405-135.104-c2-0-14 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $-0.258$ $0$ $1.20692$ Modular form 405.3.n.a.179.32
2-405-135.104-c2-0-15 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $0.336$ $0$ $1.34760$ Modular form 405.3.n.a.179.3
2-405-135.104-c2-0-16 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $-0.444$ $0$ $1.38435$ Modular form 405.3.n.a.179.1
2-405-135.104-c2-0-17 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $0.159$ $0$ $1.43377$ Modular form 405.3.n.a.179.18
2-405-135.104-c2-0-18 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $-0.0387$ $0$ $1.50733$ Modular form 405.3.n.a.179.26
2-405-135.104-c2-0-19 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $-0.236$ $0$ $1.51600$ Modular form 405.3.n.a.179.33
2-405-135.104-c2-0-2 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $-0.391$ $0$ $0.273127$ Modular form 405.3.n.a.179.8
2-405-135.104-c2-0-20 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $-0.174$ $0$ $1.54529$ Modular form 405.3.n.a.179.34
2-405-135.104-c2-0-21 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $-0.440$ $0$ $1.55708$ Modular form 405.3.n.a.179.7
2-405-135.104-c2-0-22 $3.32$ $11.0$ $2$ $3^{4} \cdot 5$ 135.104 $2.0$ $2$ ✓ ✓ $0.365$ $0$ $1.61337$ Modular form 405.3.n.a.179.13
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