LMFDB - Embedded newform 429.2.bs.a.7.10

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [429,2,Mod(7,429)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(429, base_ring=CyclotomicField(60)) chi = DirichletCharacter(H, H._module([0, 42, 55])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("429.7"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bs (of order $60$, degree $16$, minimal)

Newform invariants

comment:select newform

sage:traces = [224,0,-28] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(3)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$14$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			7.10
Character	$\chi$	$=$	429.7
Dual form			429.2.bs.a.184.10

$q$-expansion

comment:q-expansion

sage:f.q_expansion() # note that sage often uses an isomorphic number field

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.459872 - 1.19801i) q^{2} +(-0.669131 - 0.743145i) q^{3} +(0.262550 + 0.236401i) q^{4} +(-2.03444 - 0.322223i) q^{5} +(-1.19801 + 0.459872i) q^{6} +(-3.05544 + 0.160129i) q^{7} +(2.69070 - 1.37098i) q^{8} +(-0.104528 + 0.994522i) q^{9} +(-1.32161 + 2.28909i) q^{10} +(-0.540664 - 3.27226i) q^{11} -0.353296i q^{12} +(-3.32229 - 1.40086i) q^{13} +(-1.21328 + 3.73408i) q^{14} +(1.12185 + 1.72749i) q^{15} +(-0.331208 - 3.15123i) q^{16} +(-6.46094 - 2.87660i) q^{17} +(1.14338 + 0.582579i) q^{18} +(-3.08364 + 4.74839i) q^{19} +(-0.457967 - 0.565542i) q^{20} +(2.16349 + 2.16349i) q^{21} +(-4.16883 - 0.857101i) q^{22} +(4.88228 + 2.81878i) q^{23} +(-2.81927 - 1.08221i) q^{24} +(-0.720175 - 0.233999i) q^{25} +(-3.20607 + 3.33591i) q^{26} +(0.809017 - 0.587785i) q^{27} +(-0.840060 - 0.680267i) q^{28} +(-0.111854 + 0.526231i) q^{29} +(2.58545 - 0.549555i) q^{30} +(-0.382929 - 2.41772i) q^{31} +(1.90637 + 0.510811i) q^{32} +(-2.06999 + 2.59136i) q^{33} +(-6.41739 + 6.41739i) q^{34} +(6.26770 + 0.658762i) q^{35} +(-0.262550 + 0.236401i) q^{36} +(6.93090 - 4.50098i) q^{37} +(4.27052 + 5.87787i) q^{38} +(1.18200 + 3.40630i) q^{39} +(-5.91582 + 1.92217i) q^{40} +(7.68201 + 0.402597i) q^{41} +(3.58680 - 1.59695i) q^{42} +(-2.07444 - 3.59304i) q^{43} +(0.631614 - 0.986944i) q^{44} +(0.533115 - 1.98961i) q^{45} +(5.62215 - 4.55273i) q^{46} +(-6.15757 - 12.0849i) q^{47} +(-2.12020 + 2.35472i) q^{48} +(2.34843 - 0.246830i) q^{49} +(-0.611521 + 0.755166i) q^{50} +(2.18549 + 6.72623i) q^{51} +(-0.541101 - 1.15319i) q^{52} +(8.73690 + 6.34773i) q^{53} +(-0.332127 - 1.23951i) q^{54} +(0.0455496 + 6.83142i) q^{55} +(-8.00174 + 4.61981i) q^{56} +(5.59209 - 0.885701i) q^{57} +(0.578990 + 0.376000i) q^{58} +(-0.209978 - 4.00661i) q^{59} +(-0.113840 + 0.718758i) q^{60} +(-2.88719 + 6.48474i) q^{61} +(-3.07254 - 0.653089i) q^{62} +(0.160129 - 3.05544i) q^{63} +(5.21355 - 7.17583i) q^{64} +(6.30759 + 3.92048i) q^{65} +(2.15254 + 3.67156i) q^{66} +(-7.03137 + 1.88405i) q^{67} +(-1.01629 - 2.28262i) q^{68} +(-1.17212 - 5.51437i) q^{69} +(3.67154 - 7.20581i) q^{70} +(-3.71574 - 9.67983i) q^{71} +(1.08221 + 2.81927i) q^{72} +(-0.497335 + 0.976074i) q^{73} +(-2.20488 - 10.3731i) q^{74} +(0.307996 + 0.691770i) q^{75} +(-1.93213 + 0.517713i) q^{76} +(2.17595 + 9.91162i) q^{77} +(4.62434 + 0.150415i) q^{78} +(-5.31037 + 7.30909i) q^{79} +(-0.341579 + 6.51771i) q^{80} +(-0.978148 - 0.207912i) q^{81} +(4.01505 - 9.01796i) q^{82} +(1.93613 - 12.2243i) q^{83} +(0.0565728 + 1.07947i) q^{84} +(12.2175 + 7.93412i) q^{85} +(-5.25846 + 0.832859i) q^{86} +(0.465910 - 0.268993i) q^{87} +(-5.94097 - 8.06343i) q^{88} +(0.294790 + 1.10017i) q^{89} +(-2.13840 - 1.55364i) q^{90} +(10.3754 + 3.74825i) q^{91} +(0.615478 + 1.89425i) q^{92} +(-1.54049 + 1.90234i) q^{93} +(-17.3095 + 1.81930i) q^{94} +(7.80351 - 8.66667i) q^{95} +(-0.896006 - 1.75851i) q^{96} +(8.31398 - 6.73253i) q^{97} +(0.784273 - 2.92695i) q^{98} +(3.31085 - 0.195658i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 28 q^{3} - 6 q^{5} + 28 q^{9} - 16 q^{11} - 10 q^{13} - 36 q^{14} + 8 q^{15} - 24 q^{16} + 50 q^{20} + 10 q^{22} - 48 q^{23} - 30 q^{24} + 10 q^{26} + 56 q^{27} + 20 q^{29} + 12 q^{31} - 32 q^{33}+ \cdots - 6 q^{99}+O(q^{100}) $ 224 * q - 28 * q^3 - 6 * q^5 + 28 * q^9 - 16 * q^11 - 10 * q^13 - 36 * q^14 + 8 * q^15 - 24 * q^16 + 50 * q^20 + 10 * q^22 - 48 * q^23 - 30 * q^24 + 10 * q^26 + 56 * q^27 + 20 * q^29 + 12 * q^31 - 32 * q^33 - 104 * q^34 + 20 * q^35 + 12 * q^37 + 20 * q^39 - 80 * q^40 + 190 * q^41 + 32 * q^42 - 24 * q^44 + 4 * q^45 - 40 * q^46 - 10 * q^47 + 44 * q^48 - 24 * q^49 - 180 * q^50 - 110 * q^52 + 28 * q^53 - 62 * q^55 - 72 * q^56 + 20 * q^58 - 118 * q^59 + 88 * q^60 - 20 * q^61 + 120 * q^62 - 20 * q^66 - 156 * q^67 - 60 * q^68 + 12 * q^69 - 20 * q^70 + 64 * q^71 - 30 * q^72 + 10 * q^73 - 60 * q^74 - 12 * q^75 + 84 * q^78 + 200 * q^79 + 188 * q^80 + 28 * q^81 - 138 * q^82 - 80 * q^83 - 60 * q^84 + 40 * q^85 - 42 * q^86 - 18 * q^88 + 216 * q^89 - 88 * q^91 + 16 * q^92 + 12 * q^93 - 40 * q^94 - 300 * q^95 - 100 * q^96 + 18 * q^97 - 6 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{7}{10}\right)$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.459872	−	1.19801i	0.325179	−	0.847119i	−0.669378	−	0.742922i	$-0.733439\pi$
$2$	0.459872	−	1.19801i	0.325179	−	0.847119i	0.994557	−	0.104197i	$-0.0332273\pi$
$3$	−0.669131	−	0.743145i	−0.386323	−	0.429055i
$3$	−0.669131	−	0.743145i	−0.386323	−	0.429055i
$4$	0.262550	+	0.236401i	0.131275	+	0.118200i
$5$	−2.03444	−	0.322223i	−0.909828	−	0.144103i	−0.316060	−	0.948739i	$-0.602360\pi$
$5$	−2.03444	−	0.322223i	−0.909828	−	0.144103i	−0.593768	+	0.804636i	$0.702360\pi$
$6$	−1.19801	+	0.459872i	−0.489085	+	0.187742i
$7$	−3.05544	+	0.160129i	−1.15485	+	0.0605230i	−0.620124	−	0.784504i	$-0.712918\pi$
$7$	−3.05544	+	0.160129i	−1.15485	+	0.0605230i	−0.534724	+	0.845027i	$0.679584\pi$
$8$	2.69070	−	1.37098i	0.951306	−	0.484715i
$9$	−0.104528	+	0.994522i	−0.0348428	+	0.331507i
$10$	−1.32161	+	2.28909i	−0.417929	+	0.723874i
$11$	−0.540664	−	3.27226i	−0.163016	−	0.986623i
$11$	−0.540664	−	3.27226i	−0.163016	−	0.986623i
$12$		−	0.353296i		−	0.101988i
$13$	−3.32229	−	1.40086i	−0.921437	−	0.388529i
$13$	−3.32229	−	1.40086i	−0.921437	−	0.388529i
$14$	−1.21328	+	3.73408i	−0.324262	+	0.997975i
$15$	1.12185	+	1.72749i	0.289659	+	0.446036i
$16$	−0.331208	−	3.15123i	−0.0828020	−	0.787808i
$17$	−6.46094	−	2.87660i	−1.56701	−	0.697677i	−0.574348	−	0.818612i	$-0.694744\pi$
$17$	−6.46094	−	2.87660i	−1.56701	−	0.697677i	−0.992660	+	0.120935i	$0.961411\pi$
$18$	1.14338	+	0.582579i	0.269496	+	0.137315i
$19$	−3.08364	+	4.74839i	−0.707435	+	1.08935i	0.284009	+	0.958822i	$0.408335\pi$
$19$	−3.08364	+	4.74839i	−0.707435	+	1.08935i	−0.991444	+	0.130533i	$0.958331\pi$
$20$	−0.457967	−	0.565542i	−0.102405	−	0.126459i
$21$	2.16349	+	2.16349i	0.472112	+	0.472112i
$22$	−4.16883	−	0.857101i	−0.888797	−	0.182734i
$23$	4.88228	+	2.81878i	1.01803	+	0.587757i	0.913531	−	0.406768i	$-0.133344\pi$
$23$	4.88228	+	2.81878i	1.01803	+	0.587757i	0.104494	+	0.994526i	$0.466678\pi$
$24$	−2.81927	−	1.08221i	−0.575480	−	0.220906i
$25$	−0.720175	−	0.233999i	−0.144035	−	0.0467998i
$26$	−3.20607	+	3.33591i	−0.628762	+	0.654225i
$27$	0.809017	−	0.587785i	0.155695	−	0.113119i
$28$	−0.840060	−	0.680267i	−0.158756	−	0.128558i
$29$	−0.111854	+	0.526231i	−0.0207707	+	0.0977186i	−0.987312	−	0.158793i	$-0.949240\pi$
$29$	−0.111854	+	0.526231i	−0.0207707	+	0.0977186i	0.966541	+	0.256511i	$0.0825731\pi$
$30$	2.58545	−	0.549555i	0.472037	−	0.100335i
$31$	−0.382929	−	2.41772i	−0.0687761	−	0.434235i	−0.997917	−	0.0645095i	$-0.979452\pi$
$31$	−0.382929	−	2.41772i	−0.0687761	−	0.434235i	0.929141	−	0.369726i	$-0.120548\pi$
$32$	1.90637	+	0.510811i	0.337002	+	0.0902995i
$33$	−2.06999	+	2.59136i	−0.360339	+	0.451098i
$34$	−6.41739	+	6.41739i	−1.10057	+	1.10057i
$35$	6.26770	+	0.658762i	1.05943	+	0.111351i
$36$	−0.262550	+	0.236401i	−0.0437583	+	0.0394001i
$37$	6.93090	−	4.50098i	1.13943	−	0.739956i	0.170032	−	0.985439i	$-0.445613\pi$
$37$	6.93090	−	4.50098i	1.13943	−	0.739956i	0.969401	+	0.245482i	$0.0789464\pi$
$38$	4.27052	+	5.87787i	0.692770	+	0.953517i
$39$	1.18200	+	3.40630i	0.189272	+	0.545444i
$40$	−5.91582	+	1.92217i	−0.935373	+	0.303921i
$41$	7.68201	+	0.402597i	1.19973	+	0.0628751i	0.641706	−	0.766951i	$-0.278227\pi$
$41$	7.68201	+	0.402597i	1.19973	+	0.0628751i	0.558022	+	0.829826i	$0.311560\pi$
$42$	3.58680	−	1.59695i	0.553456	−	0.246414i
$43$	−2.07444	−	3.59304i	−0.316349	−	0.547933i	0.663374	−	0.748288i	$-0.269124\pi$
$43$	−2.07444	−	3.59304i	−0.316349	−	0.547933i	−0.979723	+	0.200355i	$0.935791\pi$
$44$	0.631614	−	0.986944i	0.0952194	−	0.148787i
$45$	0.533115	−	1.98961i	0.0794720	−	0.296594i
$46$	5.62215	−	4.55273i	0.828940	−	0.671263i
$47$	−6.15757	−	12.0849i	−0.898175	−	1.76277i	−0.579685	−	0.814840i	$-0.696825\pi$
$47$	−6.15757	−	12.0849i	−0.898175	−	1.76277i	−0.318489	−	0.947927i	$-0.603175\pi$
$48$	−2.12020	+	2.35472i	−0.306025	+	0.339875i
$49$	2.34843	−	0.246830i	0.335490	−	0.0352614i
$50$	−0.611521	+	0.755166i	−0.0864821	+	0.106797i
$51$	2.18549	+	6.72623i	0.306029	+	0.941861i
$52$	−0.541101	−	1.15319i	−0.0750372	−	0.159918i
$53$	8.73690	+	6.34773i	1.20011	+	0.871928i	0.994295	−	0.106664i	$-0.0340168\pi$
$53$	8.73690	+	6.34773i	1.20011	+	0.871928i	0.205811	+	0.978592i	$0.434017\pi$
$54$	−0.332127	−	1.23951i	−0.0451967	−	0.168677i
$55$	0.0455496	+	6.83142i	0.00614190	+	0.921149i
$56$	−8.00174	+	4.61981i	−1.06928	+	0.617348i
$57$	5.59209	−	0.885701i	0.740691	−	0.117314i
$58$	0.578990	+	0.376000i	0.0760251	+	0.0493713i
$59$	−0.209978	−	4.00661i	−0.0273368	−	0.521617i	−0.977639	−	0.210289i	$-0.932560\pi$
$59$	−0.209978	−	4.00661i	−0.0273368	−	0.521617i	0.950303	−	0.311328i	$-0.100774\pi$
$60$	−0.113840	+	0.718758i	−0.0146967	+	0.0927912i
$61$	−2.88719	+	6.48474i	−0.369667	+	0.830286i	0.628936	+	0.777457i	$0.283491\pi$
$61$	−2.88719	+	6.48474i	−0.369667	+	0.830286i	−0.998604	+	0.0528295i	$0.983176\pi$
$62$	−3.07254	−	0.653089i	−0.390213	−	0.0829424i
$63$	0.160129	−	3.05544i	0.0201743	−	0.384949i
$64$	5.21355	−	7.17583i	0.651693	−	0.896979i
$65$	6.30759	+	3.92048i	0.782361	+	0.486276i
$66$	2.15254	+	3.67156i	0.264959	+	0.451937i
$67$	−7.03137	+	1.88405i	−0.859019	+	0.230173i	−0.661333	−	0.750092i	$-0.730009\pi$
$67$	−7.03137	+	1.88405i	−0.859019	+	0.230173i	−0.197685	+	0.980266i	$0.563342\pi$
$68$	−1.01629	−	2.28262i	−0.123243	−	0.276809i
$69$	−1.17212	−	5.51437i	−0.141106	−	0.663853i
$70$	3.67154	−	7.20581i	0.438833	−	0.861259i
$71$	−3.71574	−	9.67983i	−0.440977	−	1.14878i	−0.956455	−	0.291881i	$-0.905719\pi$
$71$	−3.71574	−	9.67983i	−0.440977	−	1.14878i	0.515478	−	0.856903i	$-0.327615\pi$
$72$	1.08221	+	2.81927i	0.127540	+	0.332254i
$73$	−0.497335	+	0.976074i	−0.0582086	+	0.114241i	−0.918278	−	0.395936i	$-0.870420\pi$
$73$	−0.497335	+	0.976074i	−0.0582086	+	0.114241i	0.860069	+	0.510177i	$0.170420\pi$
$74$	−2.20488	−	10.3731i	−0.256312	−	1.20585i
$75$	0.307996	+	0.691770i	0.0355643	+	0.0798788i
$76$	−1.93213	+	0.517713i	−0.221631	+	0.0593857i
$77$	2.17595	+	9.91162i	0.247973	+	1.12953i
$78$	4.62434	+	0.150415i	0.523604	+	0.0170312i
$79$	−5.31037	+	7.30909i	−0.597463	+	0.822337i	−0.995473	−	0.0950437i	$-0.969701\pi$
$79$	−5.31037	+	7.30909i	−0.597463	+	0.822337i	0.398010	+	0.917381i	$0.369701\pi$
$80$	−0.341579	+	6.51771i	−0.0381897	+	0.728702i
$81$	−0.978148	−	0.207912i	−0.108683	−	0.0231013i
$82$	4.01505	−	9.01796i	0.443389	−	0.995867i
$83$	1.93613	−	12.2243i	0.212518	−	1.34179i	−0.618607	−	0.785701i	$-0.712303\pi$
$83$	1.93613	−	12.2243i	0.212518	−	1.34179i	0.831125	−	0.556086i	$-0.187697\pi$
$84$	0.0565728	+	1.07947i	0.00617260	+	0.117780i
$85$	12.2175	+	7.93412i	1.32517	+	0.860576i
$86$	−5.25846	+	0.832859i	−0.567035	+	0.0898095i
$87$	0.465910	−	0.268993i	0.0499508	−	0.0288391i
$88$	−5.94097	−	8.06343i	−0.633309	−	0.859564i
$89$	0.294790	+	1.10017i	0.0312476	+	0.116618i	0.979788	−	0.200038i	$-0.0641066\pi$
$89$	0.294790	+	1.10017i	0.0312476	+	0.116618i	−0.948540	+	0.316656i	$0.897440\pi$
$90$	−2.13840	−	1.55364i	−0.225408	−	0.163768i
$91$	10.3754	+	3.74825i	1.08763	+	0.392924i
$92$	0.615478	+	1.89425i	0.0641680	+	0.197489i
$93$	−1.54049	+	1.90234i	−0.159741	+	0.197264i
$94$	−17.3095	+	1.81930i	−1.78534	+	0.187647i
$95$	7.80351	−	8.66667i	0.800623	−	0.889182i
$96$	−0.896006	−	1.75851i	−0.0914482	−	0.179477i
$97$	8.31398	−	6.73253i	0.844157	−	0.683585i	−0.106336	−	0.994330i	$-0.533912\pi$
$97$	8.31398	−	6.73253i	0.844157	−	0.683585i	0.950493	+	0.310746i	$0.100579\pi$
$98$	0.784273	−	2.92695i	0.0792235	−	0.295666i
$99$	3.31085	−	0.195658i	0.332753	−	0.0196644i
$100$	−0.133764	−	0.231686i	−0.0133764	−	0.0231686i
$101$	8.09830	−	3.60560i	0.805811	−	0.358770i	0.0378637	−	0.999283i	$-0.487945\pi$
$101$	8.09830	−	3.60560i	0.805811	−	0.358770i	0.767948	+	0.640513i	$0.221278\pi$
$102$	9.06312	+	0.474978i	0.897383	+	0.0470298i
$103$	1.61508	−	0.524772i	0.159139	−	0.0517073i	−0.228364	−	0.973576i	$-0.573338\pi$
$103$	1.61508	−	0.524772i	0.159139	−	0.0517073i	0.387503	+	0.921868i	$0.373338\pi$
$104$	−10.8598	+	0.785492i	−1.06489	+	0.0770238i
$105$	−3.70436	−	5.09861i	−0.361508	−	0.497573i
$106$	11.6225	−	7.54773i	1.12888	−	0.733101i
$107$	−4.84353	+	4.36113i	−0.468241	+	0.421606i	−0.869178	−	0.494499i	$-0.835351\pi$
$107$	−4.84353	+	4.36113i	−0.468241	+	0.421606i	0.400937	+	0.916106i	$0.368685\pi$
$108$	0.351360	+	0.0369294i	0.0338096	+	0.00355354i
$109$	5.93194	−	5.93194i	0.568177	−	0.568177i	−0.363441	−	0.931617i	$-0.618398\pi$
$109$	5.93194	−	5.93194i	0.568177	−	0.568177i	0.931617	+	0.363441i	$0.118398\pi$
$110$	8.20504	+	3.08701i	0.782320	+	0.294335i
$111$	−7.98255	−	2.13892i	−0.757670	−	0.203017i
$112$	1.51659	+	9.57537i	0.143304	+	0.904788i
$113$	−4.64790	+	0.987942i	−0.437238	+	0.0929378i	−0.421271	−	0.906935i	$-0.638416\pi$
$113$	−4.64790	+	0.987942i	−0.437238	+	0.0929378i	−0.0159667	+	0.999873i	$0.505083\pi$
$114$	1.51057	−	7.10668i	0.141478	−	0.665602i
$115$	−9.02441	−	7.30782i	−0.841531	−	0.681458i
$116$	−0.153769	+	0.111719i	−0.0142771	+	0.0103729i
$117$	1.74046	−	3.15766i	0.160906	−	0.291925i
$118$	−4.89652	−	1.59097i	−0.450761	−	0.146461i
$119$	20.2017	+	7.75469i	1.85188	+	0.710871i
$120$	5.38691	+	3.11013i	0.491755	+	0.283915i
$121$	−10.4154	+	3.53839i	−0.946851	+	0.321672i
$122$	6.44103	+	6.44103i	0.583144	+	0.583144i
$123$	−4.84108	−	5.97823i	−0.436505	−	0.539039i
$124$	0.471013	−	0.725296i	0.0422982	−	0.0651335i
$125$	10.5662	+	5.38375i	0.945071	+	0.481538i
$126$	−3.58680	−	1.59695i	−0.319538	−	0.142267i
$127$	−2.07890	−	19.7794i	−0.184473	−	1.75514i	−0.560150	−	0.828391i	$-0.689256\pi$
$127$	−2.07890	−	19.7794i	−0.184473	−	1.75514i	0.375677	−	0.926751i	$-0.377410\pi$
$128$	−4.04931	−	6.23539i	−0.357912	−	0.551136i
$129$	−1.28208	+	3.94582i	−0.112880	+	0.347410i
$130$	7.59745	−	5.75363i	0.666341	−	0.504626i
$131$			2.89998i			0.253372i	0.991943	+	0.126686i	$0.0404341\pi$
$131$			2.89998i			0.253372i	−0.991943	+	0.126686i	$0.959566\pi$
$132$	−1.15607	+	0.191014i	−0.100623	+	0.0166257i
$133$	8.66152	−	15.0022i	0.751049	−	1.30086i
$134$	−0.976424	+	9.29006i	−0.0843502	+	0.802539i
$135$	−1.83529	+	0.935128i	−0.157957	+	0.0804830i
$136$	−21.3282	+	1.11776i	−1.82888	+	0.0958474i
$137$	2.95605	−	1.13472i	0.252552	−	0.0969457i	−0.228799	−	0.973474i	$-0.573480\pi$
$137$	2.95605	−	1.13472i	0.252552	−	0.0969457i	0.481351	+	0.876528i	$0.340146\pi$
$138$	−7.14529	−	1.13170i	−0.608247	−	0.0963369i
$139$	12.4518	+	11.2116i	1.05615	+	0.950959i	0.998876	−	0.0473996i	$-0.0150934\pi$
$139$	12.4518	+	11.2116i	1.05615	+	0.950959i	0.0572710	+	0.998359i	$0.481760\pi$
$140$	1.48985	+	1.65465i	0.125915	+	0.139843i
$141$	−4.86062	+	12.6624i	−0.409338	+	1.06636i
$142$	−13.3053			−1.11655
$143$	−2.78774	+	11.6288i	−0.233122	+	0.972447i
$144$	3.16859			0.264049
$145$	0.397123	−	1.03454i	0.0329793	−	0.0859140i
$146$	0.940634	+	1.04468i	0.0778474	+	0.0864583i
$147$	−1.75484	−	1.58006i	−0.144736	−	0.130321i
$148$	2.88374	+	0.456740i	0.237042	+	0.0375438i
$149$	−19.5782	+	7.51536i	−1.60391	+	0.615682i	−0.985424	−	0.170116i	$-0.945586\pi$
$149$	−19.5782	+	7.51536i	−1.60391	+	0.615682i	−0.618483	+	0.785798i	$0.712252\pi$
$150$	0.970385	−	0.0508557i	0.0792316	−	0.00415235i
$151$	−7.63385	+	3.88964i	−0.621234	+	0.316534i	−0.736127	−	0.676844i	$-0.763347\pi$
$151$	−7.63385	+	3.88964i	−0.621234	+	0.316534i	0.114893	+	0.993378i	$0.463347\pi$
$152$	−1.78720	+	17.0041i	−0.144961	+	1.37921i
$153$	3.53619	−	6.12486i	0.285884	−	0.495166i
$154$	12.8749	+	1.95127i	1.03749	+	0.157238i
$155$			5.04209i			0.404990i
$156$	−0.494918	+	1.17375i	−0.0396252	+	0.0939751i
$157$	−3.11126	+	9.57546i	−0.248305	+	0.764205i	0.746770	+	0.665082i	$0.231604\pi$
$157$	−3.11126	+	9.57546i	−0.248305	+	0.764205i	−0.995075	+	0.0991225i	$0.968396\pi$
$158$	6.31426	+	9.72311i	0.502336	+	0.773529i
$159$	−1.12885	−	10.7402i	−0.0895233	−	0.851757i
$160$	−3.71380	−	1.65349i	−0.293602	−	0.130720i
$161$	−15.3689	−	7.83084i	−1.21124	−	0.617156i
$162$	−0.698902	+	1.07622i	−0.0549110	+	0.0845555i
$163$	−2.68466	−	3.31528i	−0.210279	−	0.259672i	0.661084	−	0.750312i	$-0.270097\pi$
$163$	−2.68466	−	3.31528i	−0.210279	−	0.259672i	−0.871363	+	0.490639i	$0.836763\pi$
$164$	1.92173	+	1.92173i	0.150062	+	0.150062i
$165$	5.04626	−	4.60496i	0.392851	−	0.358496i
$166$	−13.7544	−	7.94109i	−1.06755	−	0.616348i
$167$	−9.69963	−	3.72334i	−0.750580	−	0.288121i	−0.0471524	−	0.998888i	$-0.515015\pi$
$167$	−9.69963	−	3.72334i	−0.750580	−	0.288121i	−0.703427	+	0.710767i	$0.748348\pi$
$168$	8.78740	+	2.85520i	0.677962	+	0.220283i
$169$	9.07518	+	9.30812i	0.698091	+	0.716009i
$170$	15.1236	−	10.9879i	1.15993	−	0.842737i
$171$	−4.40005	−	3.56309i	−0.336480	−	0.272476i
$172$	0.304753	−	1.43375i	0.0232372	−	0.109322i
$173$	−2.33774	+	0.496901i	−0.177735	+	0.0377787i	−0.295919	−	0.955213i	$-0.595626\pi$
$173$	−2.33774	+	0.496901i	−0.177735	+	0.0377787i	0.118184	+	0.992992i	$0.462293\pi$
$174$	−0.107997	−	0.681867i	−0.00818724	−	0.0516922i
$175$	2.23792	+	0.599650i	0.169171	+	0.0453293i
$176$	−10.1326	+	2.78756i	−0.763772	+	0.210120i
$177$	−2.83699	+	2.83699i	−0.213241	+	0.213241i
$178$	1.45358	+	0.152777i	0.108950	+	0.0114511i
$179$	−1.10334	+	0.993455i	−0.0824678	+	0.0742543i	−0.709334	−	0.704873i	$-0.751004\pi$
$179$	−1.10334	+	0.993455i	−0.0824678	+	0.0742543i	0.626866	+	0.779127i	$0.284337\pi$
$180$	0.610315	−	0.396343i	0.0454902	−	0.0295417i
$181$	7.81851	+	10.7613i	0.581145	+	0.799878i	0.993820	−	0.111000i	$-0.0354055\pi$
$181$	7.81851	+	10.7613i	0.581145	+	0.799878i	−0.412675	+	0.910878i	$0.635405\pi$
$182$	9.26178	−	10.7061i	0.686529	−	0.793586i
$183$	6.75101	−	2.19354i	0.499049	−	0.162151i
$184$	17.0012	+	0.890997i	1.25335	+	0.0656852i
$185$	−15.5508	+	6.92366i	−1.14332	+	0.509038i
$186$	1.57059	+	2.72035i	0.115161	+	0.199466i
$187$	−5.91977	+	22.6971i	−0.432896	+	1.65978i
$188$	1.24022	−	4.62855i	0.0904521	−	0.337572i
$189$	−2.37778	+	1.92549i	−0.172958	+	0.140059i
$190$	−6.79412	−	13.3342i	−0.492898	−	0.967366i
$191$	11.2543	−	12.4991i	0.814331	−	0.904406i	−0.182560	−	0.983195i	$-0.558438\pi$
$191$	11.2543	−	12.4991i	0.814331	−	0.904406i	0.996891	+	0.0787884i	$0.0251052\pi$
$192$	−8.82122	+	0.927148i	−0.636617	+	0.0669111i
$193$	−11.3981	+	14.0755i	−0.820454	+	1.01318i	0.179115	+	0.983828i	$0.442677\pi$
$193$	−11.3981	+	14.0755i	−0.820454	+	1.01318i	−0.999569	+	0.0293487i	$0.990657\pi$
$194$	−4.24225	−	13.0563i	−0.304576	−	0.937389i
$195$	−1.30712	−	7.31077i	−0.0936047	−	0.523535i
$196$	0.674930	+	0.490366i	0.0482093	+	0.0350261i
$197$	−3.78800	−	14.1370i	−0.269884	−	1.00722i	−0.959193	−	0.282752i	$-0.908753\pi$
$197$	−3.78800	−	14.1370i	−0.269884	−	1.00722i	0.689309	−	0.724467i	$-0.257914\pi$
$198$	1.28817	−	4.05640i	0.0915460	−	0.288276i
$199$	4.01962	−	2.32073i	0.284943	−	0.164512i	−0.350716	−	0.936482i	$-0.614062\pi$
$199$	4.01962	−	2.32073i	0.284943	−	0.164512i	0.635659	+	0.771970i	$0.280728\pi$
$200$	−2.25858	+	0.357724i	−0.159706	+	0.0252949i
$201$	6.10503	+	3.96465i	0.430615	+	0.279645i
$202$	−0.595349	−	11.3599i	−0.0418886	−	0.799283i
$203$	0.257498	−	1.62578i	0.0180728	−	0.114107i
$204$	−1.01629	+	2.28262i	−0.0711544	+	0.159815i
$205$	−15.4988	−	3.29438i	−1.08249	−	0.230089i
$206$	0.114050	−	2.17621i	0.00794626	−	0.151624i
$207$	−3.31368	+	4.56089i	−0.230317	+	0.317004i
$208$	−3.31407	+	10.9333i	−0.229790	+	0.758086i
$209$	17.2052	+	7.52318i	1.19011	+	0.520389i
$210$	−7.81170	+	2.09314i	−0.539059	+	0.144440i
$211$	6.88970	+	15.4745i	0.474307	+	1.06531i	0.979342	+	0.202211i	$0.0648128\pi$
$211$	6.88970	+	15.4745i	0.474307	+	1.06531i	−0.505035	+	0.863099i	$0.668521\pi$
$212$	0.793263	+	3.73201i	0.0544815	+	0.256315i
$213$	−4.70720	+	9.23840i	−0.322532	+	0.633005i
$214$	2.99726	+	7.80814i	0.204889	+	0.533754i
$215$	3.06256	+	7.97824i	0.208865	+	0.544112i
$216$	1.37098	−	2.69070i	0.0932834	−	0.183079i
$217$	1.55716	+	7.32588i	0.105707	+	0.497313i
$218$	−4.37857	−	9.83444i	−0.296554	−	0.666072i
$219$	1.05815	−	0.283529i	0.0715029	−	0.0191591i
$220$	−1.60300	+	1.80436i	−0.108074	+	0.121650i
$221$	17.4354	+	18.6078i	1.17283	+	1.25169i
$222$	−6.23339	+	8.57953i	−0.418358	+	0.575820i
$223$	0.592806	−	11.3114i	0.0396972	−	0.757468i	−0.904176	−	0.427160i	$-0.859514\pi$
$223$	0.592806	−	11.3114i	0.0396972	−	0.757468i	0.943873	−	0.330308i	$-0.107153\pi$
$224$	−5.90661	−	1.25549i	−0.394652	−	0.0838858i
$225$	0.307996	−	0.691770i	0.0205331	−	0.0461180i
$226$	−0.953878	+	6.02255i	−0.0634510	+	0.400614i
$227$	0.507815	+	9.68970i	0.0337049	+	0.643128i	0.962293	+	0.272015i	$0.0876902\pi$
$227$	0.507815	+	9.68970i	0.0337049	+	0.643128i	−0.928588	+	0.371112i	$0.878977\pi$
$228$	1.67758	+	1.08944i	0.111101	+	0.0721496i
$229$	12.9463	−	2.05049i	0.855515	−	0.135500i	0.286755	−	0.958004i	$-0.407423\pi$
$229$	12.9463	−	2.05049i	0.855515	−	0.135500i	0.568760	+	0.822504i	$0.307423\pi$
$230$	−12.9049	+	7.45065i	−0.850924	+	0.491281i
$231$	5.90977	−	8.24922i	0.388835	−	0.542759i
$232$	0.420487	+	1.56928i	0.0276063	+	0.103028i
$233$	−3.35937	−	2.44072i	−0.220079	−	0.159897i	0.472283	−	0.881447i	$-0.343430\pi$
$233$	−3.35937	−	2.44072i	−0.220079	−	0.159897i	−0.692362	+	0.721550i	$0.743430\pi$
$234$	−2.98251	−	3.53720i	−0.194973	−	0.231234i
$235$	8.63316	+	26.5701i	0.563165	+	1.73324i
$236$	0.892037	−	1.10157i	0.0580667	−	0.0717064i
$237$	8.98505	−	0.944366i	0.583641	−	0.0613432i
$238$	18.5803	−	20.6356i	1.20439	−	1.33761i
$239$	−6.38242	−	12.5262i	−0.412845	−	0.810253i	−1.00000		0.000778821i	$-0.999752\pi$
$239$	−6.38242	−	12.5262i	−0.412845	−	0.810253i	0.587155	−	0.809475i	$-0.300248\pi$
$240$	5.07216	−	4.10736i	0.327407	−	0.265129i
$241$	−6.70698	+	25.0308i	−0.432035	+	1.61237i	0.316030	+	0.948749i	$0.397650\pi$
$241$	−6.70698	+	25.0308i	−0.432035	+	1.61237i	−0.748065	+	0.663626i	$0.769017\pi$
$242$	−0.550720	+	14.1049i	−0.0354016	+	0.906697i
$243$	0.500000	+	0.866025i	0.0320750	+	0.0555556i
$244$	−2.29103	+	1.02003i	−0.146668	+	0.0653009i
$245$	−4.85727	−	0.254559i	−0.310319	−	0.0162631i
$246$	−9.38824	+	3.05043i	−0.598573	+	0.194488i
$247$	16.8966	−	11.4557i	1.07510	−	0.728912i
$248$	−4.34499	−	5.98037i	−0.275907	−	0.379754i
$249$	−10.3799	+	6.74080i	−0.657800	+	0.427181i
$250$	11.3089	−	10.1826i	0.715237	−	0.644002i
$251$	−24.5660	−	2.58199i	−1.55059	−	0.162974i	−0.709829	−	0.704374i	$-0.751228\pi$
$251$	−24.5660	−	2.58199i	−1.55059	−	0.162974i	−0.840765	+	0.541400i	$0.817894\pi$
$252$	0.764351	−	0.764351i	0.0481496	−	0.0481496i
$253$	6.58412	−	17.5001i	0.413940	−	1.10022i
$254$	−24.6520	−	6.60547i	−1.54680	−	0.414464i
$255$	−2.27888	−	14.3883i	−0.142709	−	0.901031i
$256$	8.01976	−	1.70465i	0.501235	−	0.106541i
$257$	0.375418	−	1.76620i	0.0234180	−	0.110173i	−0.964886	−	0.262668i	$-0.915398\pi$
$257$	0.375418	−	1.76620i	0.0234180	−	0.110173i	0.988304	+	0.152495i	$0.0487309\pi$
$258$	4.13753	+	3.35051i	0.257592	+	0.208594i
$259$	−20.4562	+	14.8623i	−1.27109	+	0.923499i
$260$	0.729252	+	2.52044i	0.0452263	+	0.156311i
$261$	−0.511656	−	0.166247i	−0.0316707	−	0.0102904i
$262$	3.47420	+	1.33362i	0.214637	+	0.0823913i
$263$	−7.29902	−	4.21409i	−0.450077	−	0.259852i	0.257786	−	0.966202i	$-0.417007\pi$
$263$	−7.29902	−	4.21409i	−0.450077	−	0.259852i	−0.707863	+	0.706350i	$0.750340\pi$
$264$	−2.01701	+	9.81048i	−0.124138	+	0.603794i
$265$	−15.7293	−	15.7293i	−0.966243	−	0.966243i
$266$	−13.9896	−	17.2757i	−0.857754	−	1.05924i
$267$	0.620333	−	0.955229i	0.0379638	−	0.0584591i
$268$	−2.29148	−	1.16757i	−0.139974	−	0.0713204i
$269$	−13.7642	−	6.12821i	−0.839218	−	0.373644i	−0.0583162	−	0.998298i	$-0.518573\pi$
$269$	−13.7642	−	6.12821i	−0.839218	−	0.373644i	−0.780901	+	0.624654i	$0.785240\pi$
$270$	0.276291	+	2.62873i	0.0168145	+	0.159980i
$271$	−13.5303	−	20.8348i	−0.821906	−	1.26562i	−0.961332	−	0.275392i	$-0.911192\pi$
$271$	−13.5303	−	20.8348i	−0.821906	−	1.26562i	0.139426	−	0.990233i	$-0.455474\pi$
$272$	−6.92491	+	21.3127i	−0.419884	+	1.29227i
$273$	−4.15698	−	10.2185i	−0.251592	−	0.618450i
$274$		−	4.06319i		−	0.245466i
$275$	−0.376333	+	2.48311i	−0.0226937	+	0.149737i
$276$	0.995864	−	1.72489i	0.0599440	−	0.103826i
$277$	1.76803	−	16.8217i	0.106231	−	1.01072i	−0.803439	−	0.595387i	$-0.796999\pi$
$277$	1.76803	−	16.8217i	0.106231	−	1.01072i	0.909670	−	0.415332i	$-0.136335\pi$
$278$	19.1579	−	9.76142i	1.14901	−	0.585451i
$279$	2.44450	−	0.128111i	0.146348	−	0.00766980i
$280$	17.7677	−	6.82036i	1.06182	−	0.407595i
$281$	−20.5740	−	3.25860i	−1.22734	−	0.194392i	−0.491094	−	0.871106i	$-0.663403\pi$
$281$	−20.5740	−	3.25860i	−1.22734	−	0.194392i	−0.736245	+	0.676715i	$0.763403\pi$
$282$	12.9343	+	11.6461i	0.770229	+	0.693517i
$283$	7.80132	+	8.66425i	0.463740	+	0.515036i	0.928970	−	0.370154i	$-0.120695\pi$
$283$	7.80132	+	8.66425i	0.463740	+	0.515036i	−0.465230	+	0.885190i	$0.654028\pi$
$284$	1.31275	−	3.41984i	0.0778976	−	0.202930i
$285$	−11.6622			−0.690807
$286$	12.6494	+	8.68748i	0.747972	+	0.513702i
$287$	−23.5364			−1.38931
$288$	−0.707283	+	1.84254i	−0.0416771	+	0.108572i
$289$	22.0937	+	24.5376i	1.29963	+	1.44339i
$290$	−1.05676	−	0.951513i	−0.0620552	−	0.0558748i
$291$	−10.5664	−	1.67355i	−0.619412	−	0.0981053i
$292$	−0.361320	+	0.138698i	−0.0211446	+	0.00811667i
$293$	2.66055	−	0.139433i	0.155431	−	0.00814579i	0.0255382	−	0.999674i	$-0.491870\pi$
$293$	2.66055	−	0.139433i	0.155431	−	0.00814579i	0.129893	+	0.991528i	$0.458537\pi$
$294$	−2.69993	+	1.37568i	−0.157463	+	0.0802313i
$295$	−0.863837	+	8.21886i	−0.0502945	+	0.478521i
$296$	12.4782	−	21.6129i	0.725281	−	1.25622i
$297$	−2.36079	−	2.32952i	−0.136987	−	0.135172i
$298$			26.9109i			1.55891i
$299$	−12.2716	−	16.2042i	−0.709685	−	0.937113i
$300$	−0.0826708	+	0.254435i	−0.00477300	+	0.0146898i
$301$	6.91368	+	10.6461i	0.398498	+	0.613633i
$302$	1.14922	+	10.9341i	0.0661304	+	0.629189i
$303$	−8.09830	−	3.60560i	−0.465235	−	0.207136i
$304$	15.9846	+	8.14456i	0.916779	+	0.467122i
$305$	7.96335	−	12.2625i	0.455980	−	0.702148i
$306$	−5.71143	−	7.05303i	−0.326501	−	0.403195i
$307$	−8.60217	−	8.60217i	−0.490952	−	0.490952i	0.417654	−	0.908606i	$-0.362852\pi$
$307$	−8.60217	−	8.60217i	−0.490952	−	0.490952i	−0.908606	+	0.417654i	$0.862852\pi$
$308$	−1.77182	+	3.11669i	−0.100959	+	0.177590i
$309$	−1.47068	−	0.849099i	−0.0836642	−	0.0483036i
$310$	6.04046	+	2.31871i	0.343075	+	0.131694i
$311$	−16.6030	−	5.39465i	−0.941471	−	0.305902i	−0.202226	−	0.979339i	$-0.564817\pi$
$311$	−16.6030	−	5.39465i	−0.941471	−	0.305902i	−0.739245	+	0.673436i	$0.764817\pi$
$312$	7.85038	+	7.54483i	0.444440	+	0.427142i
$313$	−0.271759	+	0.197444i	−0.0153607	+	0.0111602i	−0.595439	−	0.803400i	$-0.703022\pi$
$313$	−0.271759	+	0.197444i	−0.0153607	+	0.0111602i	0.580078	+	0.814561i	$0.303022\pi$
$314$	10.0407	+	8.13079i	0.566629	+	0.458847i
$315$	−1.31031	+	6.16451i	−0.0738274	+	0.347331i
$316$	−3.12211	+	0.663625i	−0.175633	+	0.0373318i
$317$	−0.492887	−	3.11197i	−0.0276833	−	0.174786i	0.969973	−	0.243214i	$-0.0782016\pi$
$317$	−0.492887	−	3.11197i	−0.0276833	−	0.174786i	−0.997656	+	0.0684281i	$0.978202\pi$
$318$	−13.3860	−	3.58677i	−0.750651	−	0.201136i
$319$	1.78244	+	0.0815005i	0.0997974	+	0.00456315i
$320$	−12.9189	+	12.9189i	−0.722186	+	0.722186i
$321$	6.48190	+	0.681275i	0.361785	+	0.0380251i
$322$	−16.4491	+	14.8109i	−0.916674	+	0.825377i
$323$	33.5824	−	21.8087i	1.86857	−	1.21347i
$324$	−0.207662	−	0.285822i	−0.0115368	−	0.0158790i
$325$	2.06483	+	1.78628i	0.114536	+	0.0990848i
$326$	−5.20632	+	1.69164i	−0.288352	+	0.0936911i
$327$	−8.37753	−	0.439048i	−0.463279	−	0.0242794i
$328$	21.2219	−	9.44861i	1.17178	−	0.521712i
$329$	20.7493	+	35.9388i	1.14394	+	1.98137i
$330$	−3.19615	−	8.16315i	−0.175942	−	0.449366i
$331$	−5.32190	+	19.8616i	−0.292518	+	1.09169i	0.650650	+	0.759377i	$0.274496\pi$
$331$	−5.32190	+	19.8616i	−0.292518	+	1.09169i	−0.943168	+	0.332315i	$0.892170\pi$
$332$	3.39816	−	2.75177i	0.186498	−	0.151023i
$333$	3.75184	+	7.36341i	0.205600	+	0.403512i
$334$	−8.92118	+	9.90797i	−0.488145	+	0.542140i
$335$	14.9120	−	1.56731i	0.814728	−	0.0856314i
$336$	6.10109	−	7.53422i	0.332842	−	0.411025i
$337$	−8.97633	−	27.6263i	−0.488972	−	1.50490i	−0.826145	−	0.563458i	$-0.809471\pi$
$337$	−8.97633	−	27.6263i	−0.488972	−	1.50490i	0.337173	−	0.941443i	$-0.390529\pi$
$338$	15.3246	−	6.59159i	0.833550	−	0.358535i
$339$	3.84424	+	2.79300i	0.208790	+	0.151695i
$340$	1.33206	+	4.97132i	0.0722412	+	0.269608i
$341$	−7.70437	+	2.56022i	−0.417215	+	0.138644i
$342$	−6.29206	+	3.63272i	−0.340236	+	0.196435i
$343$	14.0178	−	2.22020i	0.756890	−	0.119880i
$344$	−10.5077	−	6.82377i	−0.566536	−	0.367913i
$345$	0.607738	+	11.5963i	0.0327195	+	0.624326i
$346$	−0.479768	+	3.02914i	−0.0257925	+	0.162847i
$347$	7.26544	−	16.3184i	0.390029	−	0.876020i	−0.606679	−	0.794947i	$-0.707499\pi$
$347$	7.26544	−	16.3184i	0.390029	−	0.876020i	0.996708	−	0.0810729i	$-0.0258347\pi$
$348$	0.185915	+	0.0395174i	0.00996609	+	0.00211836i
$349$	1.06347	−	20.2922i	0.0569263	−	1.08622i	−0.809566	−	0.587029i	$-0.800298\pi$
$349$	1.06347	−	20.2922i	0.0569263	−	1.08622i	0.866493	−	0.499190i	$-0.166369\pi$
$350$	1.74754	−	2.40529i	0.0934101	−	0.128568i
$351$	−3.51119	+	0.819471i	−0.187414	+	0.0437401i
$352$	0.640799	−	6.51433i	0.0341547	−	0.347215i
$353$	12.7379	−	3.41312i	0.677971	−	0.181662i	0.0966283	−	0.995321i	$-0.469194\pi$
$353$	12.7379	−	3.41312i	0.677971	−	0.181662i	0.581343	+	0.813659i	$0.302528\pi$
$354$	2.09408	+	4.70339i	0.111299	+	0.249982i
$355$	4.44037	+	20.8903i	0.235670	+	1.10874i
$356$	−0.182684	+	0.358538i	−0.00968224	+	0.0190025i
$357$	−7.75469	−	20.2017i	−0.410422	−	1.06918i
$358$	0.682770	+	1.77868i	0.0360855	+	0.0940060i
$359$	5.94186	−	11.6616i	0.313599	−	0.615473i	−0.679377	−	0.733790i	$-0.737750\pi$
$359$	5.94186	−	11.6616i	0.313599	−	0.615473i	0.992976	+	0.118316i	$0.0377497\pi$
$360$	−1.29327	−	6.08433i	−0.0681611	−	0.320673i
$361$	−5.31035	−	11.9272i	−0.279492	−	0.627749i
$362$	16.4876	−	4.41783i	0.866568	−	0.232196i
$363$	9.59877	+	5.37248i	0.503805	+	0.281982i
$364$	1.83796	+	3.43685i	0.0963353	+	0.180140i
$365$	1.32631	−	1.82551i	0.0694222	−	0.0955515i
$366$	0.476728	−	9.09651i	0.0249190	−	0.475482i
$367$	−10.6138	−	2.25604i	−0.554038	−	0.117765i	−0.0776197	−	0.996983i	$-0.524732\pi$
$367$	−10.6138	−	2.25604i	−0.554038	−	0.117765i	−0.476419	+	0.879219i	$0.658065\pi$
$368$	7.26560	−	16.3188i	0.378745	−	0.850676i
$369$	−1.20338	+	7.59784i	−0.0626454	+	0.395528i
$370$	1.14322	+	21.8140i	0.0594333	+	1.13405i
$371$	−27.7116	−	17.9961i	−1.43871	−	0.934311i
$372$	−0.854169	+	0.135287i	−0.0442866	+	0.00701431i
$373$	−9.00684	+	5.20010i	−0.466357	+	0.269251i	−0.714713	−	0.699418i	$-0.753443\pi$
$373$	−9.00684	+	5.20010i	−0.466357	+	0.269251i	0.248357	+	0.968669i	$0.420109\pi$
$374$	24.4690	+	17.5297i	1.26526	+	0.906440i
$375$	−3.06927	−	11.4547i	−0.158496	−	0.591516i
$376$	−33.1364	−	24.0750i	−1.70888	−	1.24157i
$377$	1.10879	−	1.59160i	0.0571054	−	0.0819714i
$378$	1.21328	+	3.73408i	0.0624042	+	0.192060i
$379$	−16.8683	+	20.8306i	−0.866464	+	1.06999i	0.130447	+	0.991455i	$0.458359\pi$
$379$	−16.8683	+	20.8306i	−0.866464	+	1.06999i	−0.996911	+	0.0785389i	$0.974975\pi$
$380$	4.09762	−	0.430677i	0.210203	−	0.0220933i
$381$	−13.3079	+	14.7800i	−0.681786	+	0.757200i
$382$	−9.79854	−	19.2307i	−0.501337	−	0.983929i
$383$	−12.3909	+	10.0339i	−0.633145	+	0.512710i	−0.891312	−	0.453390i	$-0.850215\pi$
$383$	−12.3909	+	10.0339i	−0.633145	+	0.512710i	0.258168	+	0.966100i	$0.416881\pi$
$384$	−1.92428	+	7.18152i	−0.0981981	+	0.366480i
$385$	−1.23308	−	20.8657i	−0.0628437	−	1.06342i
$386$	11.6209	+	20.1280i	0.591487	+	1.02449i
$387$	3.79019	−	1.68750i	0.192666	−	0.0857806i
$388$	3.77441	+	0.197808i	0.191617	+	0.0100422i
$389$	30.7342	−	9.98615i	1.55829	−	0.506318i	0.601937	−	0.798543i	$-0.294396\pi$
$389$	30.7342	−	9.98615i	1.55829	−	0.506318i	0.956349	+	0.292225i	$0.0943957\pi$
$390$	−9.35947	−	1.79608i	−0.473935	−	0.0909481i
$391$	−23.4356	−	32.2563i	−1.18519	−	1.63127i
$392$	5.98052	−	3.88379i	0.302062	−	0.196161i
$393$	2.15511	−	1.94047i	0.108711	−	0.0978835i
$394$	−18.6782	−	1.96316i	−0.940995	−	0.0989026i
$395$	13.1588	−	13.1588i	0.662090	−	0.662090i
$396$	0.915516	+	0.731317i	0.0460064	+	0.0367501i
$397$	26.8390	+	7.19150i	1.34701	+	0.360931i	0.859031	−	0.511923i	$-0.171067\pi$
$397$	26.8390	+	7.19150i	1.34701	+	0.360931i	0.487981	+	0.872854i	$0.337733\pi$
$398$	−0.931739	−	5.88277i	−0.0467039	−	0.294877i
$399$	−16.9445	+	3.60166i	−0.848286	+	0.180309i
$400$	−0.498858	+	2.34694i	−0.0249429	+	0.117347i
$401$	4.98947	+	4.04040i	0.249162	+	0.201768i	0.745763	−	0.666212i	$-0.232085\pi$
$401$	4.98947	+	4.04040i	0.249162	+	0.201768i	−0.496600	+	0.867979i	$0.665419\pi$
$402$	7.55721	−	5.49064i	0.376920	−	0.273848i
$403$	−2.11469	+	8.56878i	−0.105340	+	0.426842i
$404$	2.97857	+	0.967797i	0.148190	+	0.0481497i
$405$	1.92299	+	0.738165i	0.0955539	+	0.0366797i
$406$	−1.82928	−	1.05613i	−0.0907856	−	0.0524151i
$407$	−18.4757	−	20.2462i	−0.915804	−	1.00357i
$408$	15.1020	+	15.1020i	0.747661	+	0.747661i
$409$	18.4248	+	22.7527i	0.911047	+	1.12505i	0.991734	+	0.128310i	$0.0409554\pi$
$409$	18.4248	+	22.7527i	0.911047	+	1.12505i	−0.0806866	+	0.996740i	$0.525711\pi$
$410$	−11.0742	+	17.0527i	−0.546914	+	0.842174i
$411$	−2.82124	−	1.43750i	−0.139162	−	0.0709064i
$412$	0.548096	+	0.244028i	0.0270028	+	0.0120224i
$413$	1.28315	+	12.2083i	0.0631396	+	0.600733i
$414$	3.94011	+	6.06724i	0.193646	+	0.298188i
$415$	−7.87788	+	24.2456i	−0.386710	+	1.19017i
$416$	−5.61794	−	4.36763i	−0.275442	−	0.214140i
$417$		−	16.7555i		−	0.820522i
$418$	16.9250	−	17.1522i	0.827829	−	0.838942i
$419$	9.05637	−	15.6861i	0.442433	−	0.766316i	−0.555437	−	0.831559i	$-0.687449\pi$
$419$	9.05637	−	15.6861i	0.442433	−	0.766316i	0.997869	+	0.0652431i	$0.0207823\pi$
$420$	0.232738	−	2.21435i	0.0113564	−	0.108049i
$421$	11.4884	−	5.85364i	0.559911	−	0.285289i	−0.151043	−	0.988527i	$-0.548263\pi$
$421$	11.4884	−	5.85364i	0.559911	−	0.285289i	0.710954	+	0.703238i	$0.248263\pi$
$422$	21.7070	−	1.13761i	1.05668	−	0.0553782i
$423$	12.6624	−	4.86062i	0.615665	−	0.236332i
$424$	32.2110	+	5.10172i	1.56430	+	0.247761i
$425$	3.97989	+	3.58351i	0.193053	+	0.173826i
$426$	8.90297	+	9.88774i	0.431350	+	0.479063i
$427$	7.78326	−	20.2761i	0.376658	−	0.981228i
$428$	−2.30264			−0.111302
$429$	10.5072	−	5.70948i	0.507294	−	0.275656i
$430$	10.9664			0.528846
$431$	−2.83640	+	7.38908i	−0.136625	+	0.355919i	−0.984774	−	0.173837i	$-0.944383\pi$
$431$	−2.83640	+	7.38908i	−0.136625	+	0.355919i	0.848150	+	0.529757i	$0.177717\pi$
$432$	−2.12020	−	2.35472i	−0.102008	−	0.113292i
$433$	8.23457	+	7.41444i	0.395728	+	0.356315i	0.842841	−	0.538162i	$-0.180881\pi$
$433$	8.23457	+	7.41444i	0.395728	+	0.356315i	−0.447113	+	0.894477i	$0.647548\pi$
$434$	9.49256	+	1.50347i	0.455657	+	0.0721690i
$435$	−1.03454	+	0.397123i	−0.0496025	+	0.0190406i
$436$	2.95974	−	0.155114i	0.141746	−	0.00742860i
$437$	−28.4398	+	14.4908i	−1.36046	+	0.693190i
$438$	0.146941	−	1.39805i	0.00702113	−	0.0668016i
$439$	17.2284	−	29.8405i	0.822267	−	1.42421i	−0.0817226	−	0.996655i	$-0.526042\pi$
$439$	17.2284	−	29.8405i	0.822267	−	1.42421i	0.903990	−	0.427554i	$-0.140625\pi$
$440$	9.48830	+	18.3189i	0.452337	+	0.873317i
$441$			2.36136i			0.112446i
$442$	30.3103	−	12.3305i	1.44171	−	0.586504i
$443$	−5.24384	+	16.1389i	−0.249142	+	0.766782i	0.745785	+	0.666187i	$0.232075\pi$
$443$	−5.24384	+	16.1389i	−0.249142	+	0.766782i	−0.994927	+	0.100595i	$0.967925\pi$
$444$	−1.59018	−	2.44866i	−0.0754664	−	0.116208i
$445$	−0.245231	−	2.33322i	−0.0116251	−	0.110605i
$446$	−13.2785	−	5.91199i	−0.628757	−	0.279941i
$447$	18.6854	+	9.52066i	0.883787	+	0.450312i
$448$	−14.7806	+	22.7602i	−0.698319	+	1.07532i
$449$	−12.0321	−	14.8584i	−0.567830	−	0.701211i	0.409649	−	0.912243i	$-0.365651\pi$
$449$	−12.0321	−	14.8584i	−0.567830	−	0.701211i	−0.977479	+	0.211032i	$0.932318\pi$
$450$	−0.687107	−	0.687107i	−0.0323906	−	0.0323906i
$451$	−2.83598	−	25.3552i	−0.133541	−	1.19393i
$452$	−1.45386	−	0.839384i	−0.0683836	−	0.0394813i
$453$	7.99860	+	3.07038i	0.375807	+	0.144259i
$454$	11.8419	+	3.84765i	0.555766	+	0.180579i
$455$	−19.9003	−	10.9688i	−0.932939	−	0.514224i
$456$	13.8324	−	10.0498i	0.647760	−	0.470625i
$457$	12.3085	+	9.96722i	0.575767	+	0.466247i	0.872433	−	0.488735i	$-0.162541\pi$
$457$	12.3085	+	9.96722i	0.575767	+	0.466247i	−0.296666	+	0.954981i	$0.595875\pi$
$458$	3.49713	−	16.4527i	0.163410	−	0.768785i
$459$	−6.91783	+	1.47043i	−0.322897	+	0.0686338i
$460$	−0.641781	−	4.05205i	−0.0299232	−	0.188928i
$461$	35.1894	+	9.42897i	1.63893	+	0.439151i	0.956485	−	0.291782i	$-0.0942483\pi$
$461$	35.1894	+	9.42897i	1.63893	+	0.439151i	0.682449	+	0.730933i	$0.260915\pi$
$462$	−7.16488	−	10.8735i	−0.333341	−	0.505883i
$463$	13.4280	−	13.4280i	0.624054	−	0.624054i	−0.322512	−	0.946565i	$-0.604527\pi$
$463$	13.4280	−	13.4280i	0.624054	−	0.624054i	0.946565	+	0.322512i	$0.104527\pi$
$464$	1.69532	+	0.178186i	0.0787034	+	0.00827206i
$465$	3.74700	−	3.37381i	0.173763	−	0.156457i
$466$	−4.46888	+	2.90213i	−0.207017	+	0.134438i
$467$	−5.80785	−	7.99381i	−0.268755	−	0.369910i	0.653214	−	0.757173i	$-0.273420\pi$
$467$	−5.80785	−	7.99381i	−0.268755	−	0.369910i	−0.921969	+	0.387264i	$0.873420\pi$
$468$	1.20343	−	0.417596i	0.0556286	−	0.0193034i
$469$	21.1823	−	6.88253i	0.978106	−	0.317806i
$470$	35.8014	+	1.87627i	1.65139	+	0.0865459i
$471$	9.19779	−	4.09512i	0.423812	−	0.188693i
$472$	−6.05797	−	10.4927i	−0.278841	−	0.482966i
$473$	−10.6358	+	8.73074i	−0.489033	+	0.401440i
$474$	3.00061	−	11.1984i	0.137823	−	0.514361i
$475$	3.33188	−	2.69810i	0.152877	−	0.123797i
$476$	3.47072	+	6.81168i	0.159080	+	0.312213i
$477$	−7.22621	+	8.02552i	−0.330866	+	0.367463i
$478$	−17.9416	+	1.88574i	−0.820630	+	0.0862516i
$479$	15.8024	−	19.5143i	0.722030	−	0.891633i	−0.275541	−	0.961289i	$-0.588857\pi$
$479$	15.8024	−	19.5143i	0.722030	−	0.891633i	0.997571	+	0.0696562i	$0.0221902\pi$
$480$	1.25624	+	3.86629i	0.0573390	+	0.176471i
$481$	−29.3317	+	5.24431i	−1.33741	+	0.239120i
$482$	26.9027	+	19.5460i	1.22539	+	0.890295i
$483$	4.46434	+	16.6612i	0.203135	+	0.758109i
$484$	−3.57103	−	1.53320i	−0.162320	−	0.0696908i
$485$	−19.0836	+	11.0179i	−0.866544	+	0.500299i
$486$	1.26744	−	0.200743i	0.0574923	−	0.00910588i
$487$	21.8220	+	14.1714i	0.988851	+	0.642167i	0.934354	−	0.356347i	$-0.115978\pi$
$487$	21.8220	+	14.1714i	0.988851	+	0.642167i	0.0544968	+	0.998514i	$0.482645\pi$
$488$	1.12188	+	21.4068i	0.0507852	+	0.969040i
$489$	−0.667344	+	4.21344i	−0.0301783	+	0.190538i
$490$	−2.53868	+	5.70198i	−0.114686	+	0.257589i
$491$	−9.25047	−	1.96625i	−0.417468	−	0.0887355i	−0.00561136	−	0.999984i	$-0.501786\pi$
$491$	−9.25047	−	1.96625i	−0.417468	−	0.0887355i	−0.411856	+	0.911249i	$0.635119\pi$
$492$	0.142236	−	2.71402i	0.00641248	−	0.122357i
$493$	2.23643	−	3.07819i	0.100724	−	0.138635i
$494$	−5.95382	−	25.5104i	−0.267875	−	1.14777i
$495$	−6.79876	−	0.668778i	−0.305582	−	0.0300593i
$496$	−7.49197	+	2.00747i	−0.336399	+	0.0901379i
$497$	12.9032	+	28.9812i	0.578789	+	1.29998i
$498$	3.30209	+	15.5351i	0.147970	+	0.696145i
$499$	−6.67713	+	13.1046i	−0.298909	+	0.586643i	−0.990796	−	0.135363i	$-0.956780\pi$
$499$	−6.67713	+	13.1046i	−0.298909	+	0.586643i	0.691887	+	0.722006i	$0.256780\pi$
$500$	1.50143	+	3.91137i	0.0671461	+	0.174922i
$501$	3.72334	+	9.69963i	0.166346	+	0.433347i
$502$	−14.3905	+	28.2429i	−0.642279	+	1.26054i
$503$	1.26070	+	5.93113i	0.0562118	+	0.264456i	0.997275	−	0.0737753i	$-0.0235048\pi$
$503$	1.26070	+	5.93113i	0.0562118	+	0.264456i	−0.941063	+	0.338231i	$0.890171\pi$
$504$	−3.75809	−	8.44081i	−0.167399	−	0.375983i
$505$	−17.6373	+	4.72590i	−0.784850	+	0.210300i
$506$	−17.9374	−	15.9356i	−0.797414	−	0.708425i
$507$	0.844805	−	12.9725i	0.0375191	−	0.576130i
$508$	4.13006	−	5.68454i	0.183242	−	0.252211i
$509$	−0.189657	+	3.61886i	−0.00840638	+	0.160403i	0.991201	+	0.132369i	$0.0422582\pi$
$509$	−0.189657	+	3.61886i	−0.00840638	+	0.160403i	−0.999607	+	0.0280347i	$0.991075\pi$
$510$	−18.2853	−	3.88666i	−0.809687	−	0.172104i
$511$	1.36328	−	3.06198i	0.0603079	−	0.135454i
$512$	3.97201	−	25.0783i	0.175540	−	1.10831i
$513$	0.296316	+	5.65404i	0.0130827	+	0.249632i
$514$	−1.94328	−	1.26198i	−0.0857145	−	0.0556636i
$515$	−3.45488	+	0.547199i	−0.152240	+	0.0241125i
$516$	−1.26940	+	0.732891i	−0.0558824	+	0.0322637i
$517$	−36.2158	+	26.6831i	−1.59277	+	1.17352i
$518$	8.39792	+	31.3415i	0.368983	+	1.37706i
$519$	1.93352	+	1.40478i	0.0848721	+	0.0616632i
$520$	22.3467	+	1.90125i	0.979969	+	0.0833755i
$521$	0.448919	+	1.38163i	0.0196675	+	0.0605304i	0.960409	−	0.278595i	$-0.0898688\pi$
$521$	0.448919	+	1.38163i	0.0196675	+	0.0605304i	−0.940741	+	0.339126i	$0.889869\pi$
$522$	−0.434462	+	0.536515i	−0.0190159	+	0.0234826i
$523$	−10.2047	+	1.07255i	−0.446219	+	0.0468995i	−0.324973	−	0.945723i	$-0.605355\pi$
$523$	−10.2047	+	1.07255i	−0.446219	+	0.0468995i	−0.121245	+	0.992623i	$0.538689\pi$
$524$	−0.685558	+	0.761389i	−0.0299487	+	0.0332614i
$525$	−1.05184	−	2.06434i	−0.0459059	−	0.0900954i
$526$	−8.40513	+	6.80634i	−0.366481	+	0.296771i
$527$	−4.48072	+	16.7223i	−0.195183	+	0.728433i
$528$	8.85158	+	5.66473i	0.385216	+	0.246526i
$529$	4.39109	+	7.60559i	0.190917	+	0.330678i
$530$	−26.0773	+	11.6104i	−1.13272	+	0.504322i
$531$	4.00661	+	0.209978i	0.173872	+	0.00911225i
$532$	5.82061	−	1.89123i	0.252356	−	0.0819953i
$533$	−24.9578	−	12.0990i	−1.08104	−	0.524064i
$534$	−0.859098	−	1.18245i	−0.0371768	−	0.0511695i
$535$	11.2591	−	7.31175i	0.486774	−	0.316114i
$536$	−16.3363	+	14.7093i	−0.705621	+	0.635344i
$537$	1.47656	+	0.155193i	0.0637184	+	0.00669707i
$538$	−13.6714	+	13.6714i	−0.589416	+	0.589416i
$539$	−2.07740	−	7.55122i	−0.0894801	−	0.325254i
$540$	−0.702921	−	0.188347i	−0.0302489	−	0.00810517i
$541$	−2.54738	−	16.0835i	−0.109521	−	0.691485i	−0.979958	−	0.199206i	$-0.936164\pi$
$541$	−2.54738	−	16.0835i	−0.109521	−	0.691485i	0.870437	−	0.492280i	$-0.163836\pi$
$542$	−31.1825	+	6.62804i	−1.33940	+	0.284699i
$543$	2.76557	−	13.0110i	0.118682	−	0.558354i
$544$	−10.8476	−	8.78419i	−0.465086	−	0.376619i
$545$	−13.9796	+	10.1567i	−0.598819	+	0.435067i
$546$	−14.1535	+	0.280905i	−0.605713	+	0.0120216i
$547$	−7.89217	−	2.56432i	−0.337445	−	0.109643i	0.135393	−	0.990792i	$-0.456770\pi$
$547$	−7.89217	−	2.56432i	−0.337445	−	0.109643i	−0.472838	+	0.881149i	$0.656770\pi$
$548$	1.04436	+	0.400892i	0.0446128	+	0.0171252i
$549$	−6.14743	−	3.54922i	−0.262366	−	0.151477i
$550$	2.80173	+	1.59276i	0.119466	+	0.0679157i
$551$	−2.15383	−	2.15383i	−0.0917562	−	0.0917562i
$552$	−10.7139	−	13.2306i	−0.456014	−	0.563131i
$553$	15.0551	−	23.1829i	0.640209	−	0.985835i
$554$	−19.3395	−	9.85396i	−0.821656	−	0.418655i
$555$	15.5508	+	6.92366i	0.660095	+	0.293893i
$556$	0.618773	+	5.88723i	0.0262418	+	0.249674i
$557$	−2.22030	−	3.41896i	−0.0940771	−	0.144866i	0.788498	−	0.615037i	$-0.210859\pi$
$557$	−2.22030	−	3.41896i	−0.0940771	−	0.144866i	−0.882575	+	0.470171i	$0.844192\pi$
$558$	0.970680	−	2.98745i	0.0410922	−	0.126469i
$559$	1.85854	+	14.8431i	0.0786080	+	0.627796i
$560$		−	19.9692i		−	0.843852i
$561$	20.8284	−	10.7881i	0.879374	−	0.455474i
$562$	−13.3652	+	23.1492i	−0.563777	+	0.976491i
$563$	0.227728	−	2.16669i	0.00959760	−	0.0913151i	−0.988674	−	0.150076i	$-0.952048\pi$
$563$	0.227728	−	2.16669i	0.00959760	−	0.0913151i	0.998272	+	0.0587607i	$0.0187149\pi$
$564$	−4.26955	+	2.17544i	−0.179780	+	0.0916027i
$565$	9.77420	−	0.512244i	0.411204	−	0.0215503i
$566$	13.9674	−	5.36160i	0.587095	−	0.225365i
$567$	3.02197	+	0.478632i	0.126911	+	0.0201007i
$568$	−23.2688	−	20.9513i	−0.976337	−	0.879097i
$569$	7.55023	+	8.38538i	0.316522	+	0.351533i	0.880321	−	0.474379i	$-0.157327\pi$
$569$	7.55023	+	8.38538i	0.316522	+	0.351533i	−0.563799	+	0.825912i	$0.690661\pi$
$570$	−5.36310	+	13.9714i	−0.224636	+	0.585196i
$571$	11.1501			0.466616			0.233308	−	0.972403i	$-0.425045\pi$
$571$	11.1501			0.466616			0.233308	+	0.972403i	$0.425045\pi$
$572$	−3.48097	+	2.39411i	−0.145547	+	0.100103i
$573$	−16.8193			−0.702634
$574$	−10.8237	+	28.1968i	−0.451774	+	1.17691i
$575$	−2.85650	−	3.17247i	−0.119124	−	0.132301i
$576$	6.59156	+	5.93506i	0.274648	+	0.247294i
$577$	−22.7470	−	3.60276i	−0.946968	−	0.149985i	−0.336196	−	0.941792i	$-0.609141\pi$
$577$	−22.7470	−	3.60276i	−0.946968	−	0.149985i	−0.610772	+	0.791807i	$0.709141\pi$
$578$	39.5565	−	15.1843i	1.64533	−	0.631584i
$579$	18.0870	−	0.947898i	0.751669	−	0.0393933i
$580$	0.348831	−	0.177738i	0.0144844	−	0.00738018i
$581$	−3.95828	+	37.6605i	−0.164217	+	1.56242i
$582$	−6.86411	+	11.8890i	−0.284526	+	0.492814i
$583$	16.0477	−	32.0214i	0.664628	−	1.32619i
$584$			3.30816i			0.136893i
$585$	−4.55833	+	5.86324i	−0.188464	+	0.242415i
$586$	1.05647	−	3.25148i	0.0436424	−	0.134317i
$587$	−1.38031	−	2.12549i	−0.0569714	−	0.0877282i	0.809037	−	0.587758i	$-0.199989\pi$
$587$	−1.38031	−	2.12549i	−0.0569714	−	0.0877282i	−0.866008	+	0.500029i	$0.833322\pi$
$588$	−0.0872039	−	0.829689i	−0.00359623	−	0.0342158i
$589$	12.6611	+	5.63707i	0.521690	+	0.232272i
$590$	9.44900	+	4.81451i	0.389009	+	0.198210i
$591$	−7.97117	+	12.2745i	−0.327890	+	0.504907i
$592$	−16.4792	−	20.3501i	−0.677291	−	0.836385i
$593$	−11.9080	−	11.9080i	−0.489004	−	0.489004i	0.418988	−	0.907992i	$-0.362385\pi$
$593$	−11.9080	−	11.9080i	−0.489004	−	0.489004i	−0.907992	+	0.418988i	$0.862385\pi$
$594$	−3.87644	+	1.75697i	−0.159052	+	0.0720892i
$595$	−38.6003	−	22.2859i	−1.58246	−	0.913631i
$596$	−6.91688	−	2.65514i	−0.283327	−	0.108759i
$597$	−4.41429	−	1.43429i	−0.180665	−	0.0587015i
$598$	−25.0561	+	7.24961i	−1.02462	+	0.296459i
$599$	19.8401	−	14.4147i	0.810645	−	0.588968i	−0.103373	−	0.994643i	$-0.532963\pi$
$599$	19.8401	−	14.4147i	0.810645	−	0.588968i	0.914018	+	0.405675i	$0.132963\pi$
$600$	1.77713	+	1.43909i	0.0725509	+	0.0587506i
$601$	8.14638	−	38.3257i	0.332298	−	1.56334i	−0.421869	−	0.906657i	$-0.638626\pi$
$601$	8.14638	−	38.3257i	0.332298	−	1.56334i	0.754167	−	0.656682i	$-0.228041\pi$
$602$	15.9336	−	3.38678i	0.649404	−	0.138035i
$603$	−1.13875	−	7.18979i	−0.0463735	−	0.292791i
$604$	−2.92378	−	0.783424i	−0.118967	−	0.0318771i
$605$	22.3296	−	3.84256i	0.907826	−	0.156222i
$606$	−8.04372	+	8.04372i	−0.326754	+	0.326754i
$607$	2.76030	+	0.290119i	0.112037	+	0.0117756i	0.160381	−	0.987055i	$-0.448728\pi$
$607$	2.76030	+	0.290119i	0.112037	+	0.0117756i	−0.0483439	+	0.998831i	$0.515394\pi$
$608$	−8.30409	+	7.47704i	−0.336775	+	0.303234i
$609$	−1.38049	+	0.896500i	−0.0559402	+	0.0363280i
$610$	−11.0284	−	15.1793i	−0.446528	−	0.614593i
$611$	3.52793	+	48.7755i	0.142725	+	1.97324i
$612$	2.37635	−	0.772122i	0.0960582	−	0.0312112i
$613$	−22.0801	−	1.15717i	−0.891808	−	0.0467377i	−0.399075	−	0.916918i	$-0.630669\pi$
$613$	−22.0801	−	1.15717i	−0.891808	−	0.0467377i	−0.492733	+	0.870181i	$0.664002\pi$
$614$	−14.2614	+	6.34957i	−0.575542	+	0.256248i
$615$	7.92254	+	13.7222i	0.319468	+	0.553334i
$616$	19.4435	+	23.6860i	0.783400	+	0.954337i
$617$	12.6653	−	47.2677i	0.509887	−	1.90292i	0.0884123	−	0.996084i	$-0.471821\pi$
$617$	12.6653	−	47.2677i	0.509887	−	1.90292i	0.421475	−	0.906840i	$-0.361513\pi$
$618$	−1.69355	+	1.37141i	−0.0681247	+	0.0551663i
$619$	−9.37448	−	18.3984i	−0.376792	−	0.739496i	0.622270	−	0.782803i	$-0.286211\pi$
$619$	−9.37448	−	18.3984i	−0.376792	−	0.739496i	−0.999062	+	0.0433069i	$0.986211\pi$
$620$	−1.19195	+	1.32380i	−0.0478700	+	0.0531650i
$621$	5.60669	−	0.589286i	0.224989	−	0.0236472i
$622$	−14.0981	+	17.4097i	−0.565282	+	0.698065i
$623$	−1.07688	−	3.31430i	−0.0431444	−	0.132785i
$624$	10.3426	−	4.85295i	0.414034	−	0.194274i
$625$	−16.6984	−	12.1321i	−0.667938	−	0.485285i
$626$	0.111566	+	0.416368i	0.00445906	+	0.0166414i
$627$	−5.92169	−	17.8199i	−0.236489	−	0.711659i
$628$	−3.08051	+	1.77853i	−0.122926	+	0.0709711i
$629$	−57.7276	+	9.14315i	−2.30175	+	0.364561i
$630$	6.78255	+	4.40464i	0.270223	+	0.175485i
$631$	−0.173290	−	3.30658i	−0.00689858	−	0.131633i	−0.999908	−	0.0135942i	$-0.995673\pi$
$631$	−0.173290	−	3.30658i	−0.00689858	−	0.131633i	0.993009	−	0.118039i	$-0.0376606\pi$
$632$	−4.26798	+	26.9470i	−0.169771	+	1.07189i
$633$	6.88970	−	15.4745i	0.273841	−	0.615057i
$634$	−3.95483	−	0.840624i	−0.157066	−	0.0333855i
$635$	−2.14400	+	40.9099i	−0.0850820	+	1.62346i
$636$	2.24263	−	3.08671i	0.0889259	−	0.122396i
$637$	−8.14793	−	2.46978i	−0.322833	−	0.0978564i
$638$	0.917332	−	2.09789i	0.0363175	−	0.0830565i
$639$	10.0152	−	2.68357i	0.396195	−	0.106160i
$640$	6.22888	+	13.9903i	0.246218	+	0.553015i
$641$	5.29448	+	24.9086i	0.209119	+	0.983829i	0.950014	+	0.312208i	$0.101069\pi$
$641$	5.29448	+	24.9086i	0.209119	+	0.983829i	−0.740894	+	0.671621i	$0.765598\pi$
$642$	3.79702	−	7.45207i	0.149856	−	0.294110i
$643$	10.0913	+	26.2888i	0.397963	+	1.03673i	0.975429	+	0.220314i	$0.0707083\pi$
$643$	10.0913	+	26.2888i	0.397963	+	1.03673i	−0.577466	+	0.816415i	$0.695958\pi$
$644$	−2.18388	−	5.68920i	−0.0860569	−	0.224186i
$645$	3.87974	−	7.61441i	0.152764	−	0.299817i
$646$	−10.6833	−	50.2611i	−0.420330	−	1.97750i
$647$	13.0075	+	29.2153i	0.511378	+	1.14857i	0.966154	+	0.257967i	$0.0830526\pi$
$647$	13.0075	+	29.2153i	0.511378	+	1.14857i	−0.454776	+	0.890606i	$0.650281\pi$
$648$	−2.91694	+	0.781593i	−0.114588	+	0.0307039i
$649$	−12.9971	+	2.85333i	−0.510183	+	0.112003i
$650$	3.08953	−	1.65222i	0.121181	−	0.0648054i
$651$	4.40224	−	6.05917i	0.172538	−	0.237478i
$652$	0.0788779	−	1.50508i	0.00308910	−	0.0589435i
$653$	−11.4283	−	2.42916i	−0.447223	−	0.0950602i	−0.0212056	−	0.999775i	$-0.506750\pi$
$653$	−11.4283	−	2.42916i	−0.447223	−	0.0950602i	−0.426017	+	0.904715i	$0.640084\pi$
$654$	−4.37857	+	9.83444i	−0.171216	+	0.384557i
$655$	0.934441	−	5.89983i	0.0365116	−	0.230525i
$656$	−1.27566	−	24.3411i	−0.0498063	−	0.950362i
$657$	−0.918741	−	0.596638i	−0.0358435	−	0.0232771i
$658$	52.5969	−	8.33053i	2.05044	−	0.324758i
$659$	27.2104	−	15.7099i	1.05997	−	0.611972i	0.134543	−	0.990908i	$-0.457043\pi$
$659$	27.2104	−	15.7099i	1.05997	−	0.611972i	0.925423	+	0.378936i	$0.123710\pi$
$660$	2.41351	−	0.0160925i	0.0939458	−	0.000626398i
$661$	6.70256	+	25.0143i	0.260699	+	0.972944i	0.964830	+	0.262873i	$0.0846701\pi$
$661$	6.70256	+	25.0143i	0.260699	+	0.972944i	−0.704131	+	0.710070i	$0.748663\pi$
$662$	21.3470	+	15.5095i	0.829673	+	0.602793i
$663$	2.16171	−	25.4080i	0.0839538	−	0.986766i
$664$	−11.5497	−	35.5462i	−0.448214	−	1.37946i
$665$	−22.4554	+	27.7301i	−0.870782	+	1.07533i
$666$	10.5468	−	1.10851i	0.408680	−	0.0429540i
$667$	−2.02943	+	2.25391i	−0.0785799	+	0.0872718i
$668$	−1.66643	−	3.27056i	−0.0644763	−	0.126542i
$669$	−8.80268	+	7.12827i	−0.340331	+	0.275595i
$670$	4.97995	−	18.5854i	0.192392	−	0.718017i
$671$	22.7808	+	5.94158i	0.879442	+	0.229372i
$672$	3.01928	+	5.22955i	0.116471	+	0.201734i
$673$	7.25150	−	3.22857i	0.279525	−	0.124452i	−0.262186	−	0.965017i	$-0.584443\pi$
$673$	7.25150	−	3.22857i	0.279525	−	0.124452i	0.541711	+	0.840565i	$0.317777\pi$
$674$	−37.2245	−	1.95085i	−1.43383	−	0.0751440i
$675$	−0.720175	+	0.233999i	−0.0277196	+	0.00900663i
$676$	0.182237	+	4.58923i	0.00700912	+	0.176509i
$677$	10.4042	+	14.3202i	0.399867	+	0.550369i	0.960711	−	0.277552i	$-0.0895232\pi$
$677$	10.4042	+	14.3202i	0.399867	+	0.550369i	−0.560844	+	0.827922i	$0.689523\pi$
$678$	5.11389	−	3.32100i	0.196398	−	0.127542i
$679$	−24.3248	+	21.9022i	−0.933500	+	0.840528i
$680$	43.7511	+	4.59842i	1.67778	+	0.176341i
$681$	6.86105	−	6.86105i	0.262916	−	0.262916i
$682$	−0.475863	+	10.4073i	−0.0182217	+	0.398515i
$683$	−2.18542	−	0.585581i	−0.0836227	−	0.0224066i	0.216765	−	0.976224i	$-0.430449\pi$
$683$	−2.18542	−	0.585581i	−0.0836227	−	0.0224066i	−0.300388	+	0.953817i	$0.597116\pi$
$684$	−0.312914	−	1.97566i	−0.0119646	−	0.0755413i
$685$	−6.37953	+	1.35601i	−0.243749	+	0.0518105i
$686$	3.78657	−	17.8144i	0.144572	−	0.680158i
$687$	−10.1866	−	8.24892i	−0.388642	−	0.314716i
$688$	−10.6354	+	7.72709i	−0.405472	+	0.294593i
$689$	−20.1342	−	33.3282i	−0.767052	−	1.26970i
$690$	14.1720	+	4.60475i	0.539518	+	0.175300i
$691$	−27.1455	−	10.4202i	−1.03266	−	0.396402i	−0.217762	−	0.976002i	$-0.569876\pi$
$691$	−27.1455	−	10.4202i	−1.03266	−	0.396402i	−0.814902	+	0.579599i	$0.803209\pi$
$692$	−0.731240	−	0.422182i	−0.0277976	−	0.0160489i
$693$	−10.0848	+	1.12798i	−0.383089	+	0.0428486i
$694$	−16.2084	−	16.2084i	−0.615264	−	0.615264i
$695$	−21.7197	−	26.8216i	−0.823877	−	1.01740i
$696$	0.884840	−	1.36253i	0.0335398	−	0.0516467i
$697$	−48.4749	−	24.6992i	−1.83612	−	0.935548i
$698$	−23.8212	−	10.6059i	−0.901645	−	0.401438i
$699$	0.434044	+	4.12966i	0.0164171	+	0.156198i
$700$	0.445808	+	0.686485i	0.0168500	+	0.0259467i
$701$	3.02398	−	9.30684i	0.114214	−	0.351515i	−0.877568	−	0.479452i	$-0.840836\pi$
$701$	3.02398	−	9.30684i	0.114214	−	0.351515i	0.991782	+	0.127937i	$0.0408356\pi$
$702$	−0.632967	+	4.58329i	−0.0238898	+	0.172985i
$703$			46.7900i			1.76472i
$704$	−26.3000	−	13.1804i	−0.991217	−	0.496753i
$705$	13.9687	−	24.1946i	0.526093	−	0.911220i
$706$	1.76888	−	16.8297i	0.0665725	−	0.633395i
$707$	−24.1665	+	12.3135i	−0.908876	+	0.463095i
$708$	−1.41552	+	0.0741842i	−0.0531984	+	0.00278801i
$709$	−6.06320	+	2.32744i	−0.227708	+	0.0874090i	−0.469547	−	0.882907i	$-0.655583\pi$
$709$	−6.06320	+	2.32744i	−0.227708	+	0.0874090i	0.241839	+	0.970316i	$0.422249\pi$
$710$	27.0687	+	4.28727i	1.01587	+	0.160898i
$711$	−6.71397	−	6.04529i	−0.251794	−	0.226716i
$712$	2.30150	+	2.55608i	0.0862524	+	0.0957930i
$713$	4.94546	−	12.8834i	0.185209	−	0.482486i
$714$	−27.7679			−1.03919
$715$	9.41854	−	22.7597i	0.352234	−	0.851166i
$716$	−0.524536			−0.0196028
$717$	−5.03811	+	13.1247i	−0.188152	+	0.490152i
$718$	−11.2381	−	12.4812i	−0.419404	−	0.465795i
$719$	4.04164	+	3.63911i	0.150728	+	0.135716i	0.741045	−	0.671456i	$-0.234331\pi$
$719$	4.04164	+	3.63911i	0.150728	+	0.135716i	−0.590317	+	0.807171i	$0.700997\pi$
$720$	−6.44630	−	1.02099i	−0.240239	−	0.0380502i
$721$	−4.85076	+	1.86203i	−0.180652	+	0.0693457i
$722$	−16.7310	+	0.876834i	−0.622663	+	0.0326324i
$723$	23.0893	−	11.7646i	0.858702	−	0.437531i
$724$	−0.491222	+	4.67367i	−0.0182561	+	0.173696i
$725$	0.203692	−	0.352804i	0.00756492	−	0.0131028i
$726$	10.8505	−	9.02875i	0.402699	−	0.335088i
$727$		−	39.0930i		−	1.44988i	−0.688812	−	0.724940i	$-0.741867\pi$
$727$		−	39.0930i		−	1.44988i	0.688812	−	0.724940i	$-0.258133\pi$
$728$	33.0558	−	4.13900i	1.22513	−	0.153401i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	−1.57704	−	2.42843i	−0.0583689	−	0.0898802i
$731$	3.06712	+	29.1817i	0.113442	+	1.07933i
$732$	2.29103	+	1.02003i	0.0846790	+	0.0377015i
$733$	24.9724	+	12.7241i	0.922378	+	0.469975i	0.849632	−	0.527376i	$-0.176824\pi$
$733$	24.9724	+	12.7241i	0.922378	+	0.469975i	0.0727455	+	0.997351i	$0.476824\pi$
$734$	−7.58377	+	11.6780i	−0.279922	+	0.431042i
$735$	3.06097	+	3.77998i	0.112906	+	0.139427i
$736$	7.86758	+	7.86758i	0.290003	+	0.290003i
$737$	9.96671	+	21.9898i	0.367129	+	0.810006i
$738$	8.54887	+	4.93569i	0.314688	+	0.181685i
$739$	−10.8669	−	4.17141i	−0.399745	−	0.153448i	0.150186	−	0.988658i	$-0.452013\pi$
$739$	−10.8669	−	4.17141i	−0.399745	−	0.153448i	−0.549931	+	0.835210i	$0.685346\pi$
$740$	−5.71962	−	1.85842i	−0.210257	−	0.0683167i
$741$	−19.8193	−	4.89119i	−0.728080	−	0.179683i
$742$	−34.3032	+	24.9228i	−1.25931	+	0.914943i
$743$	42.3535	+	34.2972i	1.55380	+	1.25824i	0.792756	+	0.609539i	$0.208646\pi$
$743$	42.3535	+	34.2972i	1.55380	+	1.25824i	0.761043	+	0.648702i	$0.224688\pi$
$744$	−1.53691	+	7.23060i	−0.0563459	+	0.265087i
$745$	42.2522	−	8.98098i	1.54800	−	0.329038i
$746$	2.08777	+	13.1816i	0.0764386	+	0.482614i
$747$	11.9549	+	3.20331i	0.437407	+	0.117203i
$748$	−6.91986	+	4.55969i	−0.253015	+	0.166719i
$749$	14.1008	−	14.1008i	0.515231	−	0.515231i
$750$	−15.1342	−	1.59067i	−0.552624	−	0.0580832i
$751$	−11.8769	+	10.6940i	−0.433395	+	0.390230i	−0.856749	−	0.515734i	$-0.827519\pi$
$751$	−11.8769	+	10.6940i	−0.433395	+	0.390230i	0.423354	+	0.905964i	$0.360853\pi$
$752$	−36.0430	+	23.4066i	−1.31435	+	0.853550i
$753$	14.5191	+	19.9838i	0.529105	+	0.728251i
$754$	−1.39685	−	2.06027i	−0.0508701	−	0.0750304i
$755$	16.7839	−	5.45342i	0.610829	−	0.198470i
$756$	−1.07947	−	0.0565728i	−0.0392601	−	0.00205753i
$757$	−32.3048	+	14.3830i	−1.17414	+	0.522760i	−0.898702	−	0.438560i	$-0.855489\pi$
$757$	−32.3048	+	14.3830i	−1.17414	+	0.522760i	−0.275436	+	0.961320i	$0.588822\pi$
$758$	17.1979	+	29.7877i	0.624657	+	1.08194i
$759$	−17.4107	+	6.81689i	−0.631970	+	0.247438i
$760$	9.11506	−	34.0179i	0.330638	−	1.23396i
$761$	12.4424	−	10.0757i	0.451036	−	0.365242i	−0.376722	−	0.926326i	$-0.622949\pi$
$761$	12.4424	−	10.0757i	0.451036	−	0.365242i	0.827759	+	0.561084i	$0.189616\pi$
$762$	11.5866	+	22.7399i	0.419737	+	0.823780i
$763$	−17.1748	+	19.0746i	−0.621770	+	0.690546i
$764$	5.90962	−	0.621126i	0.213802	−	0.0224715i
$765$	−9.16773	+	11.3212i	−0.331460	+	0.409319i
$766$	6.32252	+	19.4587i	0.228442	+	0.703072i
$767$	−4.91510	+	13.6053i	−0.177474	+	0.491258i
$768$	−6.63307	−	4.81921i	−0.239350	−	0.173898i
$769$	−10.9103	−	40.7178i	−0.393435	−	1.46832i	−0.824429	−	0.565966i	$-0.808503\pi$
$769$	−10.9103	−	40.7178i	−0.393435	−	1.46832i	0.430993	−	0.902355i	$-0.358163\pi$
$770$	−25.5643	−	8.11832i	−0.921275	−	0.292564i
$771$	−1.56375	+	0.902831i	−0.0563171	+	0.0325147i
$772$	−6.32003	+	1.00100i	−0.227463	+	0.0360266i
$773$	−1.22447	−	0.795177i	−0.0440410	−	0.0286005i	0.522431	−	0.852682i	$-0.325025\pi$
$773$	−1.22447	−	0.795177i	−0.0440410	−	0.0286005i	−0.566472	+	0.824081i	$0.691692\pi$
$774$	−0.278637	−	5.31671i	−0.0100154	−	0.191105i
$775$	−0.289968	+	1.83079i	−0.0104160	+	0.0657638i
$776$	13.1403	−	29.5135i	0.471708	−	1.05947i
$777$	24.7327	+	5.25710i	0.887282	+	0.188598i
$778$	2.17032	−	41.4122i	0.0778098	−	1.48470i
$779$	−25.6002	+	35.2357i	−0.917223	+	1.26245i
$780$	1.38509	−	2.22845i	0.0495941	−	0.0797911i
$781$	−29.6659	+	17.3924i	−1.06153	+	0.622349i
$782$	−49.4207	+	13.2422i	−1.76728	+	0.473542i
$783$	0.218819	+	0.491476i	0.00781995	+	0.0175639i
$784$	−1.55564	−	7.31869i	−0.0555585	−	0.261382i
$785$	9.41509	−	18.4782i	0.336039	−	0.659514i
$786$	−1.33362	−	3.47420i	−0.0475686	−	0.123921i
$787$	−0.436102	−	1.13609i	−0.0155454	−	0.0404971i	0.925588	−	0.378532i	$-0.123571\pi$
$787$	−0.436102	−	1.13609i	−0.0155454	−	0.0404971i	−0.941134	+	0.338035i	$0.890238\pi$
$788$	2.34746	−	4.60715i	0.0836248	−	0.164123i
$789$	1.75232	+	8.24401i	0.0623842	+	0.293495i
$790$	−9.71296	−	21.8157i	−0.345571	−	0.776166i
$791$	14.0432	−	3.76286i	0.499318	−	0.133792i
$792$	8.64025	−	5.06556i	0.307018	−	0.179997i
$793$	18.6763	−	17.4996i	0.663215	−	0.621430i
$794$	20.9580	−	28.8462i	0.743771	−	1.02371i
$795$	−1.16419	+	22.2141i	−0.0412896	+	0.787853i
$796$	1.60397	+	0.340935i	0.0568513	+	0.0120841i
$797$	7.45013	−	16.7333i	0.263897	−	0.592722i	−0.732190	−	0.681100i	$-0.761502\pi$
$797$	7.45013	−	16.7333i	0.263897	−	0.592722i	0.996087	+	0.0883780i	$0.0281683\pi$
$798$	−3.47748	+	21.9559i	−0.123101	+	0.777232i
$799$	5.02029	+	95.7928i	0.177605	+	3.38891i
$800$	−1.25339	−	0.813963i	−0.0443141	−	0.0287779i
$801$	−1.12496	+	0.178176i	−0.0397484	+	0.00629553i
$802$	7.13495	−	4.11936i	0.251944	−	0.145460i
$803$	3.46286	+	1.09968i	0.122202	+	0.0388068i
$804$	0.665627	+	2.48415i	0.0234748	+	0.0876093i
$805$	28.7438	+	20.8836i	1.01308	+	0.736049i
$806$	9.29298	+	6.47396i	0.327331	+	0.228035i
$807$	4.65589	+	14.3294i	0.163895	+	0.504417i
$808$	16.8469	−	20.8042i	0.592672	−	0.731889i
$809$	18.5879	−	1.95366i	0.653514	−	0.0686871i	0.228032	−	0.973654i	$-0.426771\pi$
$809$	18.5879	−	1.95366i	0.653514	−	0.0686871i	0.425483	+	0.904967i	$0.360104\pi$
$810$	1.76865	−	1.96429i	0.0621442	−	0.0690181i
$811$	−3.71186	−	7.28493i	−0.130341	−	0.255808i	0.816608	−	0.577193i	$-0.195852\pi$
$811$	−3.71186	−	7.28493i	−0.130341	−	0.255808i	−0.946949	+	0.321384i	$0.895852\pi$
$812$	0.451941	−	0.365975i	0.0158600	−	0.0128432i
$813$	−6.42976	+	23.9962i	−0.225501	+	0.841583i
$814$	−32.7515	+	12.8233i	−1.14794	+	0.449457i
$815$	4.39351	+	7.60978i	0.153898	+	0.266559i
$816$	20.4721	−	9.11476i	0.716666	−	0.319080i
$817$	23.4580	+	1.22938i	0.820690	+	0.0430105i
$818$	35.7310	−	11.6097i	1.24930	−	0.405924i
$819$	−4.81224	+	9.92673i	−0.168153	+	0.346868i
$820$	−3.29042	−	4.52888i	−0.114906	−	0.158155i
$821$	−27.1813	+	17.6518i	−0.948635	+	0.616051i	−0.923486	−	0.383633i	$-0.874673\pi$
$821$	−27.1813	+	17.6518i	−0.948635	+	0.616051i	−0.0251495	+	0.999684i	$0.508006\pi$
$822$	−3.01954	+	2.71881i	−0.105319	+	0.0948293i
$823$	30.5663	+	3.21264i	1.06547	+	0.111986i	0.621003	−	0.783808i	$-0.286725\pi$
$823$	30.5663	+	3.21264i	1.06547	+	0.111986i	0.444470	+	0.895794i	$0.353392\pi$
$824$	3.62625	−	3.62625i	0.126326	−	0.126326i
$825$	2.09713	−	1.38186i	0.0730127	−	0.0481101i
$826$	15.2158	+	4.07706i	0.529425	+	0.141859i
$827$	2.21205	+	13.9663i	0.0769205	+	0.485657i	0.995833	+	0.0911955i	$0.0290688\pi$
$827$	2.21205	+	13.9663i	0.0769205	+	0.485657i	−0.918913	+	0.394461i	$0.870931\pi$
$828$	−1.94820	+	0.414104i	−0.0677048	+	0.0143911i
$829$	2.45213	−	11.5364i	0.0851660	−	0.400675i	−0.914829	−	0.403841i	$-0.867675\pi$
$829$	2.45213	−	11.5364i	0.0851660	−	0.400675i	0.999995	+	0.00316693i	$0.00100807\pi$
$830$	25.4236	+	20.5876i	0.882467	+	0.714607i
$831$	−13.6840	+	9.94202i	−0.474693	+	0.344885i
$832$	−27.3732	+	16.5367i	−0.948996	+	0.573307i
$833$	−15.8831	−	5.16073i	−0.550316	−	0.178809i
$834$	−20.0733	−	7.70540i	−0.695080	−	0.266816i
$835$	18.5335	+	10.7003i	0.641380	+	0.370301i
$836$	2.73872	+	6.04252i	0.0947208	+	0.208985i
$837$	−1.73090	−	1.73090i	−0.0598285	−	0.0598285i
$838$	−14.6273	−	18.0632i	−0.505291	−	0.623983i
$839$	24.5816	−	37.8523i	0.848650	−	1.30681i	−0.101443	−	0.994841i	$-0.532346\pi$
$839$	24.5816	−	37.8523i	0.848650	−	1.30681i	0.950094	−	0.311965i	$-0.100987\pi$
$840$	−16.9574	−	8.64022i	−0.585086	−	0.298116i
$841$	26.2284	+	11.6776i	0.904428	+	0.402677i
$842$	−1.72950	−	16.4551i	−0.0596027	−	0.567082i
$843$	11.3451	+	17.4699i	0.390745	+	0.601694i
$844$	−1.84930	+	5.69156i	−0.0636556	+	0.195912i
$845$	−15.4636	−	21.8610i	−0.531964	−	0.752042i
$846$		−	17.4049i		−	0.598392i
$847$	31.2569	−	12.4791i	1.07400	−	0.428788i
$848$	17.1095	−	29.6344i	0.587541	−	1.01765i
$849$	1.21869	−	11.5950i	0.0418252	−	0.397940i
$850$	6.12331	−	3.11998i	0.210028	−	0.107014i
$851$	46.5258	−	2.43832i	1.59489	−	0.0835844i
$852$	−3.41984	+	1.31275i	−0.117162	+	0.0449742i
$853$	32.6167	+	5.16597i	1.11677	+	0.176880i	0.687422	−	0.726258i	$-0.258742\pi$
$853$	32.6167	+	5.16597i	1.11677	+	0.176880i	0.429351	+	0.903138i	$0.358742\pi$
$854$	−20.7116	−	18.6488i	−0.708736	−	0.638149i
$855$	7.80351	+	8.66667i	0.266874	+	0.296394i
$856$	−7.05345	+	18.3749i	−0.241082	+	0.628040i
$857$	−24.2200			−0.827340			−0.413670	−	0.910427i	$-0.635753\pi$
$857$	−24.2200			−0.827340			−0.413670	+	0.910427i	$0.635753\pi$
$858$	−2.00802	−	15.2134i	−0.0685526	−	0.519376i
$859$	2.33333			0.0796123			0.0398061	−	0.999207i	$-0.487326\pi$
$859$	2.33333			0.0796123			0.0398061	+	0.999207i	$0.487326\pi$
$860$	−1.08199	+	2.81868i	−0.0368955	+	0.0961161i
$861$	15.7489	+	17.4909i	0.536722	+	0.596090i
$862$	7.54779	+	6.79606i	0.257079	+	0.231475i
$863$	29.9163	+	4.73828i	1.01836	+	0.161293i	0.643226	−	0.765676i	$-0.277596\pi$
$863$	29.9163	+	4.73828i	1.01836	+	0.161293i	0.375137	+	0.926969i	$0.377596\pi$
$864$	1.84254	−	0.707283i	0.0626843	−	0.0240623i
$865$	4.91609	−	0.257641i	0.167152	−	0.00876007i
$866$	12.6694	−	6.45538i	0.430524	−	0.219363i
$867$	3.45138	−	32.8377i	0.117215	−	1.11523i
$868$	−1.32301	+	2.29152i	−0.0449059	+	0.0777794i
$869$	26.7884	+	13.4251i	0.908734	+	0.455417i
$870$			1.42201i			0.0482108i
$871$	25.9995	+	3.59062i	0.880960	+	0.121663i
$872$	7.82850	−	24.0936i	0.265106	−	0.815913i
$873$	5.82660	+	8.97218i	0.197200	+	0.303662i
$874$	4.28143	+	40.7351i	0.144822	+	1.37788i
$875$	−33.1465	−	14.7578i	−1.12056	−	0.498904i
$876$	0.344843	+	0.175706i	0.0116512	+	0.00593656i
$877$	16.3787	−	25.2210i	0.553070	−	0.851653i	−0.445989	−	0.895039i	$-0.647148\pi$
$877$	16.3787	−	25.2210i	0.553070	−	0.851653i	0.999058	+	0.0433857i	$0.0138144\pi$
$878$	−27.8263	−	34.3626i	−0.939091	−	1.15968i
$879$	−1.88387	−	1.88387i	−0.0635415	−	0.0635415i
$880$	21.5123	−	2.40616i	0.725180	−	0.0811116i
$881$	43.0702	+	24.8666i	1.45107	+	0.837776i	0.998542	−	0.0539742i	$-0.0171889\pi$
$881$	43.0702	+	24.8666i	1.45107	+	0.837776i	0.452528	+	0.891750i	$0.350522\pi$
$882$	2.82893	+	1.08593i	0.0952551	+	0.0365650i
$883$	−32.8074	−	10.6598i	−1.10406	−	0.358730i	−0.300395	−	0.953815i	$-0.597119\pi$
$883$	−32.8074	−	10.6598i	−1.10406	−	0.358730i	−0.803663	+	0.595085i	$0.797119\pi$
$884$	0.178767	+	9.00720i	0.00601257	+	0.302945i
$885$	6.68582	−	4.85754i	0.224742	−	0.163284i
$886$	16.9230	+	13.7040i	0.568540	+	0.460394i
$887$	−0.151049	+	0.710630i	−0.00507173	+	0.0238606i	−0.980611	−	0.195966i	$-0.937216\pi$
$887$	−0.151049	+	0.710630i	−0.00507173	+	0.0238606i	0.975539	+	0.219827i	$0.0705491\pi$
$888$	−24.4111	+	5.18873i	−0.819182	+	0.174122i
$889$	9.51923	+	60.1020i	0.319265	+	2.01576i
$890$	−2.90798	−	0.779192i	−0.0974759	−	0.0261186i
$891$	−0.151492	+	3.31316i	−0.00507516	+	0.110995i
$892$	2.82967	−	2.82967i	0.0947443	−	0.0947443i
$893$	76.3716	+	8.02698i	2.55568	+	0.268613i
$894$	19.9987	−	18.0069i	0.668857	−	0.602241i
$895$	2.56480	−	1.66560i	0.0857318	−	0.0556749i
$896$	13.3709	+	18.4035i	0.446690	+	0.614817i
$897$	−3.83076	+	19.9623i	−0.127906	+	0.666522i
$898$	−23.3337	+	7.58158i	−0.778656	+	0.253001i
$899$	1.31511	+	0.0689220i	0.0438614	+	0.00229868i
$900$	0.244399	−	0.108814i	0.00814665	−	0.00362712i
$901$	−38.1888	−	66.1449i	−1.27225	−	2.20360i
$902$	−31.6799	−	8.26261i	−1.05483	−	0.275115i
$903$	3.28547	−	12.2615i	0.109333	−	0.408038i
$904$	−11.1517	+	9.03043i	−0.370899	+	0.300348i
$905$	−12.4387	−	24.4124i	−0.413478	−	0.811496i
$906$	7.35667	−	8.17041i	0.244409	−	0.271444i
$907$	38.5282	−	4.04948i	1.27931	−	0.134461i	0.559615	−	0.828753i	$-0.310949\pi$
$907$	38.5282	−	4.04948i	1.27931	−	0.134461i	0.719693	+	0.694292i	$0.244282\pi$
$908$	−2.15733	+	2.66408i	−0.0715934	+	0.0884104i
$909$	2.73934	+	8.43083i	0.0908582	+	0.279633i
$910$	−22.2923	+	18.7964i	−0.738981	+	0.623096i
$911$	−16.6999	−	12.1332i	−0.553293	−	0.401991i	0.275705	−	0.961242i	$-0.411089\pi$
$911$	−16.6999	−	12.1332i	−0.553293	−	0.401991i	−0.828998	+	0.559251i	$0.811089\pi$
$912$	−4.64320	−	17.3286i	−0.153752	−	0.573809i
$913$	−41.0477	+	0.273692i	−1.35848	+	0.00905789i
$914$	17.6011	−	10.1620i	0.582194	−	0.336130i
$915$	−14.4413	+	2.28728i	−0.477415	+	0.0756152i
$916$	3.88378	+	2.52216i	0.128324	+	0.0833345i
$917$	−0.464371	−	8.86072i	−0.0153349	−	0.292607i
$918$	−1.41973	+	8.96382i	−0.0468581	+	0.295850i
$919$	12.7033	−	28.5320i	0.419043	−	0.941185i	−0.573491	−	0.819212i	$-0.694411\pi$
$919$	12.7033	−	28.5320i	0.419043	−	0.941185i	0.992533	−	0.121973i	$-0.0389221\pi$
$920$	−34.3009	−	7.29087i	−1.13087	−	0.240373i
$921$	−0.636683	+	12.1486i	−0.0209794	+	0.400311i
$922$	27.4786	−	37.8210i	0.904959	−	1.24557i
$923$	−1.21535	+	37.3644i	−0.0400036	+	1.22986i
$924$	3.50173	−	0.768754i	0.115199	−	0.0252901i
$925$	−6.04468	+	1.61967i	−0.198748	+	0.0532544i
$926$	−9.91171	−	22.2621i	−0.325719	−	0.731577i
$927$	0.353075	+	1.66109i	0.0115965	+	0.0545573i
$928$	−0.482040	+	0.946056i	−0.0158237	+	0.0310558i
$929$	−2.43316	−	6.33861i	−0.0798295	−	0.207963i	0.887857	−	0.460120i	$-0.152193\pi$
$929$	−2.43316	−	6.33861i	−0.0798295	−	0.207963i	−0.967686	+	0.252157i	$0.918860\pi$
$930$	−2.31871	−	6.04046i	−0.0760336	−	0.198074i
$931$	−6.06966	+	11.9124i	−0.198925	+	0.390412i
$932$	−0.305012	−	1.43497i	−0.00999099	−	0.0470039i
$933$	7.10058	+	15.9482i	0.232463	+	0.522120i
$934$	−12.2475	+	3.28171i	−0.400751	+	0.107381i
$935$	19.3569	−	44.2684i	0.633040	−	1.44773i
$936$	0.353972	−	10.8824i	0.0115699	−	0.355704i
$937$	0.424380	−	0.584109i	0.0138639	−	0.0190820i	−0.802029	−	0.597285i	$-0.796246\pi$
$937$	0.424380	−	0.584109i	0.0138639	−	0.0190820i	0.815893	+	0.578203i	$0.196246\pi$
$938$	1.49580	−	28.5416i	0.0488396	−	0.931916i
$939$	0.328572	+	0.0698401i	0.0107225	+	0.00227915i
$940$	−4.01457	+	9.01687i	−0.130941	+	0.294098i
$941$	−2.86009	+	18.0579i	−0.0932361	+	0.588670i	0.896194	+	0.443662i	$0.146321\pi$
$941$	−2.86009	+	18.0579i	−0.0932361	+	0.588670i	−0.989430	+	0.145008i	$0.953679\pi$
$942$	−0.676178	−	12.9023i	−0.0220311	−	0.420378i
$943$	36.3709	+	23.6195i	1.18440	+	0.769157i
$944$	−12.5562	+	1.98871i	−0.408670	+	0.0647270i
$945$	5.45789	−	3.15111i	0.177545	−	0.102506i
$946$	5.56839	+	16.7568i	0.181044	+	0.544809i
$947$	12.5952	+	47.0059i	0.409289	+	1.52749i	0.796006	+	0.605288i	$0.206942\pi$
$947$	12.5952	+	47.0059i	0.409289	+	1.52749i	−0.386717	+	0.922198i	$0.626391\pi$
$948$	2.58227	+	1.87613i	0.0838683	+	0.0609339i
$949$	3.01963	−	2.54610i	0.0980214	−	0.0826500i
$950$	−1.70011	−	5.23239i	−0.0551588	−	0.169761i
$951$	−1.98284	+	2.44860i	−0.0642979	+	0.0794013i
$952$	64.9881	−	6.83052i	2.10628	−	0.221379i
$953$	−26.9371	+	29.9167i	−0.872578	+	0.969096i	−0.999740	−	0.0227857i	$-0.992746\pi$
$953$	−26.9371	+	29.9167i	−0.872578	+	0.969096i	0.127162	+	0.991882i	$0.459413\pi$
$954$	6.29150	+	12.3478i	0.203695	+	0.399774i
$955$	−26.9236	+	21.8023i	−0.871228	+	0.705507i
$956$	1.28550	−	4.79756i	0.0415762	−	0.155164i
$957$	−1.13212	−	1.37914i	−0.0365962	−	0.0445814i
$958$	−16.1112	−	27.9055i	−0.520531	−	0.901586i
$959$	−8.85033	+	3.94042i	−0.285792	+	0.127243i
$960$	18.2450	+	0.956179i	0.588854	+	0.0308605i
$961$	23.7840	−	7.72790i	0.767227	−	0.249287i
$962$	−7.20609	+	37.5513i	−0.232334	+	1.21070i
$963$	−3.83095	−	5.27285i	−0.123451	−	0.169915i
$964$	−7.67822	+	4.98629i	−0.247299	+	0.160598i
$965$	27.7242	−	24.9630i	0.892474	−	0.803587i
$966$	22.0132	+	2.31368i	0.708264	+	0.0744415i
$967$	−39.2191	+	39.2191i	−1.26120	+	1.26120i	−0.310690	+	0.950511i	$0.600560\pi$
$967$	−39.2191	+	39.2191i	−1.26120	+	1.26120i	−0.950511	+	0.310690i	$0.899440\pi$
$968$	−23.1736	+	23.8000i	−0.744826	+	0.764961i
$969$	−38.6780	−	10.3637i	−1.24252	−	0.332931i
$970$	4.42355	+	27.9292i	0.142032	+	0.896753i
$971$	−29.4759	+	6.26530i	−0.945927	+	0.201063i	−0.654954	−	0.755669i	$-0.727312\pi$
$971$	−29.4759	+	6.26530i	−0.945927	+	0.201063i	−0.290972	+	0.956731i	$0.593979\pi$
$972$	−0.0734543	+	0.345575i	−0.00235605	+	0.0110843i
$973$	−39.8410	−	32.2626i	−1.27724	−	1.03429i
$974$	27.0128	−	19.6259i	0.865545	−	0.628855i
$975$	−0.0541769	−	2.72972i	−0.00173505	−	0.0874210i
$976$	21.3912	+	6.95042i	0.684716	+	0.222478i
$977$	−46.1027	−	17.6972i	−1.47496	−	0.566183i	−0.517735	−	0.855541i	$-0.673225\pi$
$977$	−46.1027	−	17.6972i	−1.47496	−	0.566183i	−0.957221	+	0.289358i	$0.906558\pi$
$978$	4.74084	+	2.73713i	0.151595	+	0.0875237i
$979$	3.44066	−	1.55945i	0.109964	−	0.0498403i
$980$	−1.21510	−	1.21510i	−0.0388148	−	0.0388148i
$981$	5.27939	+	6.51950i	0.168558	+	0.208152i
$982$	−6.60961	+	10.1779i	−0.210921	+	0.324790i
$983$	6.51455	+	3.31933i	0.207782	+	0.105870i	0.554785	−	0.831994i	$-0.312801\pi$
$983$	6.51455	+	3.31933i	0.207782	+	0.105870i	−0.347003	+	0.937864i	$0.612801\pi$
$984$	−21.2219	−	9.44861i	−0.676530	−	0.301211i
$985$	3.15117	+	29.9814i	0.100405	+	0.955287i
$986$	−2.65922	−	4.09484i	−0.0846867	−	0.130406i
$987$	12.8237	−	39.4674i	0.408184	−	1.25626i
$988$	7.14434	+	0.986656i	0.227292	+	0.0313897i
$989$		−	23.3896i		−	0.743746i
$990$	−3.92776	+	7.83741i	−0.124832	+	0.249089i
$991$	24.4552	−	42.3577i	0.776845	−	1.34554i	−0.156906	−	0.987613i	$-0.550152\pi$
$991$	24.4552	−	42.3577i	0.776845	−	1.34554i	0.933752	−	0.357922i	$-0.116515\pi$
$992$	0.504992	−	4.80468i	0.0160335	−	0.152549i
$993$	18.3211	−	9.33506i	0.581402	−	0.296239i
$994$	40.6535	−	2.13056i	1.28945	−	0.0675772i
$995$	−8.92545	+	3.42616i	−0.282956	+	0.108617i
$996$	−4.31878	−	0.684027i	−0.136846	−	0.0216742i
$997$	30.4922	+	27.4553i	0.965697	+	0.869517i	0.991494	−	0.130150i	$-0.0415458\pi$
$997$	30.4922	+	27.4553i	0.965697	+	0.869517i	−0.0257974	+	0.999667i	$0.508212\pi$
$998$	12.6288	+	14.0257i	0.399758	+	0.443976i
$999$	2.96161	−	7.71525i	0.0937011	−	0.244100i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bs.a.7.10	✓	224
11.8	odd	10	inner	429.2.bs.a.85.10	yes	224
13.2	odd	12	inner	429.2.bs.a.106.10	yes	224
143.41	even	60	inner	429.2.bs.a.184.10	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bs.a.7.10	✓	224	1.1	even	1	trivial
429.2.bs.a.85.10	yes	224	11.8	odd	10	inner
429.2.bs.a.106.10	yes	224	13.2	odd	12	inner
429.2.bs.a.184.10	yes	224	143.41	even	60	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bs (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(0.459872 - 1.19801i) q^{2} +(-0.669131 - 0.743145i) q^{3} +(0.262550 + 0.236401i) q^{4} +(-2.03444 - 0.322223i) q^{5} +(-1.19801 + 0.459872i) q^{6} +(-3.05544 + 0.160129i) q^{7} +(2.69070 - 1.37098i) q^{8} +(-0.104528 + 0.994522i) q^{9} +(-1.32161 + 2.28909i) q^{10} +(-0.540664 - 3.27226i) q^{11} -0.353296i q^{12} +(-3.32229 - 1.40086i) q^{13} +(-1.21328 + 3.73408i) q^{14} +(1.12185 + 1.72749i) q^{15} +(-0.331208 - 3.15123i) q^{16} +(-6.46094 - 2.87660i) q^{17} +(1.14338 + 0.582579i) q^{18} +(-3.08364 + 4.74839i) q^{19} +(-0.457967 - 0.565542i) q^{20} +(2.16349 + 2.16349i) q^{21} +(-4.16883 - 0.857101i) q^{22} +(4.88228 + 2.81878i) q^{23} +(-2.81927 - 1.08221i) q^{24} +(-0.720175 - 0.233999i) q^{25} +(-3.20607 + 3.33591i) q^{26} +(0.809017 - 0.587785i) q^{27} +(-0.840060 - 0.680267i) q^{28} +(-0.111854 + 0.526231i) q^{29} +(2.58545 - 0.549555i) q^{30} +(-0.382929 - 2.41772i) q^{31} +(1.90637 + 0.510811i) q^{32} +(-2.06999 + 2.59136i) q^{33} +(-6.41739 + 6.41739i) q^{34} +(6.26770 + 0.658762i) q^{35} +(-0.262550 + 0.236401i) q^{36} +(6.93090 - 4.50098i) q^{37} +(4.27052 + 5.87787i) q^{38} +(1.18200 + 3.40630i) q^{39} +(-5.91582 + 1.92217i) q^{40} +(7.68201 + 0.402597i) q^{41} +(3.58680 - 1.59695i) q^{42} +(-2.07444 - 3.59304i) q^{43} +(0.631614 - 0.986944i) q^{44} +(0.533115 - 1.98961i) q^{45} +(5.62215 - 4.55273i) q^{46} +(-6.15757 - 12.0849i) q^{47} +(-2.12020 + 2.35472i) q^{48} +(2.34843 - 0.246830i) q^{49} +(-0.611521 + 0.755166i) q^{50} +(2.18549 + 6.72623i) q^{51} +(-0.541101 - 1.15319i) q^{52} +(8.73690 + 6.34773i) q^{53} +(-0.332127 - 1.23951i) q^{54} +(0.0455496 + 6.83142i) q^{55} +(-8.00174 + 4.61981i) q^{56} +(5.59209 - 0.885701i) q^{57} +(0.578990 + 0.376000i) q^{58} +(-0.209978 - 4.00661i) q^{59} +(-0.113840 + 0.718758i) q^{60} +(-2.88719 + 6.48474i) q^{61} +(-3.07254 - 0.653089i) q^{62} +(0.160129 - 3.05544i) q^{63} +(5.21355 - 7.17583i) q^{64} +(6.30759 + 3.92048i) q^{65} +(2.15254 + 3.67156i) q^{66} +(-7.03137 + 1.88405i) q^{67} +(-1.01629 - 2.28262i) q^{68} +(-1.17212 - 5.51437i) q^{69} +(3.67154 - 7.20581i) q^{70} +(-3.71574 - 9.67983i) q^{71} +(1.08221 + 2.81927i) q^{72} +(-0.497335 + 0.976074i) q^{73} +(-2.20488 - 10.3731i) q^{74} +(0.307996 + 0.691770i) q^{75} +(-1.93213 + 0.517713i) q^{76} +(2.17595 + 9.91162i) q^{77} +(4.62434 + 0.150415i) q^{78} +(-5.31037 + 7.30909i) q^{79} +(-0.341579 + 6.51771i) q^{80} +(-0.978148 - 0.207912i) q^{81} +(4.01505 - 9.01796i) q^{82} +(1.93613 - 12.2243i) q^{83} +(0.0565728 + 1.07947i) q^{84} +(12.2175 + 7.93412i) q^{85} +(-5.25846 + 0.832859i) q^{86} +(0.465910 - 0.268993i) q^{87} +(-5.94097 - 8.06343i) q^{88} +(0.294790 + 1.10017i) q^{89} +(-2.13840 - 1.55364i) q^{90} +(10.3754 + 3.74825i) q^{91} +(0.615478 + 1.89425i) q^{92} +(-1.54049 + 1.90234i) q^{93} +(-17.3095 + 1.81930i) q^{94} +(7.80351 - 8.66667i) q^{95} +(-0.896006 - 1.75851i) q^{96} +(8.31398 - 6.73253i) q^{97} +(0.784273 - 2.92695i) q^{98} +(3.31085 - 0.195658i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 28 q^{3} - 6 q^{5} + 28 q^{9} - 16 q^{11} - 10 q^{13} - 36 q^{14} + 8 q^{15} - 24 q^{16} + 50 q^{20} + 10 q^{22} - 48 q^{23} - 30 q^{24} + 10 q^{26} + 56 q^{27} + 20 q^{29} + 12 q^{31} - 32 q^{33}+ \cdots - 6 q^{99}+O(q^{100}) \) 224 * q - 28 * q^3 - 6 * q^5 + 28 * q^9 - 16 * q^11 - 10 * q^13 - 36 * q^14 + 8 * q^15 - 24 * q^16 + 50 * q^20 + 10 * q^22 - 48 * q^23 - 30 * q^24 + 10 * q^26 + 56 * q^27 + 20 * q^29 + 12 * q^31 - 32 * q^33 - 104 * q^34 + 20 * q^35 + 12 * q^37 + 20 * q^39 - 80 * q^40 + 190 * q^41 + 32 * q^42 - 24 * q^44 + 4 * q^45 - 40 * q^46 - 10 * q^47 + 44 * q^48 - 24 * q^49 - 180 * q^50 - 110 * q^52 + 28 * q^53 - 62 * q^55 - 72 * q^56 + 20 * q^58 - 118 * q^59 + 88 * q^60 - 20 * q^61 + 120 * q^62 - 20 * q^66 - 156 * q^67 - 60 * q^68 + 12 * q^69 - 20 * q^70 + 64 * q^71 - 30 * q^72 + 10 * q^73 - 60 * q^74 - 12 * q^75 + 84 * q^78 + 200 * q^79 + 188 * q^80 + 28 * q^81 - 138 * q^82 - 80 * q^83 - 60 * q^84 + 40 * q^85 - 42 * q^86 - 18 * q^88 + 216 * q^89 - 88 * q^91 + 16 * q^92 + 12 * q^93 - 40 * q^94 - 300 * q^95 - 100 * q^96 + 18 * q^97 - 6 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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