LMFDB - Embedded newform 230.2.l.a.67.6

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [230,2,Mod(7,230)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("230.7"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(230, base_ring=CyclotomicField(44)) chi = DirichletCharacter(H, H._module([11, 38])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.l (of order $44$, degree $20$, minimal)

Newform invariants

comment:select newform

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

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

Self dual:	no
Analytic conductor:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{44})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label			67.6
Character	$\chi$	$=$	230.67
Dual form			230.2.l.a.103.6

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.212565 - 0.977147i) q^{2} +(2.30436 + 1.72503i) q^{3} +(-0.909632 + 0.415415i) q^{4} +(0.975205 - 2.01221i) q^{5} +(1.19578 - 2.61838i) q^{6} +(-0.218590 - 3.05628i) q^{7} +(0.599278 + 0.800541i) q^{8} +(1.48918 + 5.07170i) q^{9} +(-2.17352 - 0.525193i) q^{10} +(-0.582269 - 0.906028i) q^{11} +(-2.81273 - 0.611871i) q^{12} +(-1.36590 - 0.0976911i) q^{13} +(-2.93997 + 0.863254i) q^{14} +(5.71834 - 2.95460i) q^{15} +(0.654861 - 0.755750i) q^{16} +(2.17259 + 5.82495i) q^{17} +(4.63924 - 2.53322i) q^{18} +(2.12916 + 4.66221i) q^{19} +(-0.0511768 + 2.23548i) q^{20} +(4.76846 - 7.41986i) q^{21} +(-0.761553 + 0.761553i) q^{22} +(-3.89084 + 2.80382i) q^{23} +2.87851i q^{24} +(-3.09795 - 3.92463i) q^{25} +(0.194884 + 1.35545i) q^{26} +(-2.29938 + 6.16487i) q^{27} +(1.46846 + 2.68929i) q^{28} +(-6.11633 - 2.79324i) q^{29} +(-4.10260 - 4.95961i) q^{30} +(-0.518143 + 3.60377i) q^{31} +(-0.877679 - 0.479249i) q^{32} +(0.221162 - 3.09225i) q^{33} +(5.23001 - 3.36112i) q^{34} +(-6.36304 - 2.54065i) q^{35} +(-3.46147 - 3.99475i) q^{36} +(4.08713 - 7.48501i) q^{37} +(4.10308 - 3.07153i) q^{38} +(-2.97901 - 2.58133i) q^{39} +(2.19527 - 0.425179i) q^{40} +(-10.3436 - 3.03716i) q^{41} +(-8.26390 - 3.08228i) q^{42} +(-1.88948 + 2.52405i) q^{43} +(0.906028 + 0.582269i) q^{44} +(11.6576 + 1.94940i) q^{45} +(3.56680 + 3.20593i) q^{46} +(1.06238 + 1.06238i) q^{47} +(2.81273 - 0.611871i) q^{48} +(-2.36433 + 0.339940i) q^{49} +(-3.17642 + 3.86139i) q^{50} +(-5.04174 + 17.1706i) q^{51} +(1.28305 - 0.478552i) q^{52} +(4.45094 - 0.318337i) q^{53} +(6.51275 + 0.936392i) q^{54} +(-2.39095 + 0.288082i) q^{55} +(2.31568 - 2.00655i) q^{56} +(-3.13607 + 14.4163i) q^{57} +(-1.42928 + 6.57030i) q^{58} +(-4.89085 + 4.23795i) q^{59} +(-3.97419 + 5.06308i) q^{60} +(-7.99883 - 1.15006i) q^{61} +(3.63155 - 0.259734i) q^{62} +(15.1750 - 5.65999i) q^{63} +(-0.281733 + 0.959493i) q^{64} +(-1.52861 + 2.65320i) q^{65} +(-3.06859 + 0.441197i) q^{66} +(13.3022 - 2.89371i) q^{67} +(-4.39603 - 4.39603i) q^{68} +(-13.8026 - 0.250782i) q^{69} +(-1.13003 + 6.75768i) q^{70} +(2.34878 + 1.50947i) q^{71} +(-3.16767 + 4.23151i) q^{72} +(12.8449 + 4.79092i) q^{73} +(-8.18274 - 2.40267i) q^{74} +(-0.368724 - 14.3878i) q^{75} +(-3.87351 - 3.35641i) q^{76} +(-2.64180 + 1.97763i) q^{77} +(-1.88910 + 3.45963i) q^{78} +(-0.149343 - 0.172351i) q^{79} +(-0.882101 - 2.05473i) q^{80} +(-2.59304 + 1.66645i) q^{81} +(-0.769059 + 10.7528i) q^{82} +(-6.43033 - 3.51122i) q^{83} +(-1.25522 + 8.73023i) q^{84} +(13.8397 + 1.30881i) q^{85} +(2.86801 + 1.30978i) q^{86} +(-9.27586 - 16.9875i) q^{87} +(0.376372 - 1.00909i) q^{88} +(-1.55864 - 10.8406i) q^{89} +(-0.573146 - 11.8055i) q^{90} +4.19593i q^{91} +(2.37448 - 4.16675i) q^{92} +(-7.41058 + 7.41058i) q^{93} +(0.812278 - 1.26393i) q^{94} +(11.4577 + 0.262301i) q^{95} +(-1.19578 - 2.61838i) q^{96} +(-5.50953 + 3.00843i) q^{97} +(0.834746 + 2.23804i) q^{98} +(3.72800 - 4.30234i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) $ 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{13}{22}\right)$

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 $

$2$	−0.212565	−	0.977147i	−0.150306	−	0.690947i
$2$	−0.212565	−	0.977147i	−0.150306	−	0.690947i
$3$	2.30436	+	1.72503i	1.33043	+	0.995944i	0.998616	+	0.0525977i	$0.0167501\pi$
$3$	2.30436	+	1.72503i	1.33043	+	0.995944i	0.331810	+	0.943346i	$0.392341\pi$
$4$	−0.909632	+	0.415415i	−0.454816	+	0.207708i
$5$	0.975205	−	2.01221i	0.436125	−	0.899886i
$5$	0.975205	−	2.01221i	0.436125	−	0.899886i
$6$	1.19578	−	2.61838i	0.488173	−	1.06895i
$7$	−0.218590	−	3.05628i	−0.0826191	−	1.15517i	−0.854518	−	0.519421i	$-0.826148\pi$
$7$	−0.218590	−	3.05628i	−0.0826191	−	1.15517i	0.771899	−	0.635745i	$-0.219307\pi$
$8$	0.599278	+	0.800541i	0.211877	+	0.283034i
$9$	1.48918	+	5.07170i	0.496395	+	1.69057i
$10$	−2.17352	−	0.525193i	−0.687326	−	0.166081i
$11$	−0.582269	−	0.906028i	−0.175561	−	0.273178i	0.742311	−	0.670056i	$-0.233730\pi$
$11$	−0.582269	−	0.906028i	−0.175561	−	0.273178i	−0.917871	+	0.396878i	$0.870094\pi$
$12$	−2.81273	−	0.611871i	−0.811964	−	0.176632i
$13$	−1.36590	−	0.0976911i	−0.378833	−	0.0270946i	−0.119375	−	0.992849i	$-0.538089\pi$
$13$	−1.36590	−	0.0976911i	−0.378833	−	0.0270946i	−0.259457	+	0.965755i	$0.583544\pi$
$14$	−2.93997	+	0.863254i	−0.785741	+	0.230714i
$15$	5.71834	−	2.95460i	1.47647	−	0.762875i
$16$	0.654861	−	0.755750i	0.163715	−	0.188937i
$17$	2.17259	+	5.82495i	0.526931	+	1.41276i	0.879017	+	0.476790i	$0.158200\pi$
$17$	2.17259	+	5.82495i	0.526931	+	1.41276i	−0.352086	+	0.935968i	$0.614528\pi$
$18$	4.63924	−	2.53322i	1.09348	−	0.597085i
$19$	2.12916	+	4.66221i	0.488463	+	1.06958i	0.980049	+	0.198756i	$0.0636900\pi$
$19$	2.12916	+	4.66221i	0.488463	+	1.06958i	−0.491586	+	0.870829i	$0.663583\pi$
$20$	−0.0511768	+	2.23548i	−0.0114435	+	0.499869i
$21$	4.76846	−	7.41986i	1.04056	−	1.61915i
$22$	−0.761553	+	0.761553i	−0.162364	+	0.162364i
$23$	−3.89084	+	2.80382i	−0.811296	+	0.584636i
$23$	−3.89084	+	2.80382i	−0.811296	+	0.584636i
$24$			2.87851i			0.587573i
$25$	−3.09795	−	3.92463i	−0.619590	−	0.784926i
$26$	0.194884	+	1.35545i	0.0382200	+	0.265826i
$27$	−2.29938	+	6.16487i	−0.442515	+	1.18643i
$28$	1.46846	+	2.68929i	0.277513	+	0.508227i
$29$	−6.11633	−	2.79324i	−1.13577	−	0.518691i	−0.243373	−	0.969933i	$-0.578254\pi$
$29$	−6.11633	−	2.79324i	−1.13577	−	0.518691i	−0.892402	+	0.451242i	$0.850981\pi$
$30$	−4.10260	−	4.95961i	−0.749029	−	0.905496i
$31$	−0.518143	+	3.60377i	−0.0930613	+	0.647256i	0.888890	+	0.458121i	$0.151477\pi$
$31$	−0.518143	+	3.60377i	−0.0930613	+	0.647256i	−0.981951	+	0.189135i	$0.939432\pi$
$32$	−0.877679	−	0.479249i	−0.155153	−	0.0847201i
$33$	0.221162	−	3.09225i	0.0384994	−	0.538291i
$34$	5.23001	−	3.36112i	0.896939	−	0.576428i
$35$	−6.36304	−	2.54065i	−1.07555	−	0.429449i
$36$	−3.46147	−	3.99475i	−0.576911	−	0.665791i
$37$	4.08713	−	7.48501i	0.671919	−	1.23053i	−0.289956	−	0.957040i	$-0.593641\pi$
$37$	4.08713	−	7.48501i	0.671919	−	1.23053i	0.961875	−	0.273488i	$-0.0881775\pi$
$38$	4.10308	−	3.07153i	0.665607	−	0.498267i
$39$	−2.97901	−	2.58133i	−0.477024	−	0.413343i
$40$	2.19527	−	0.425179i	0.347103	−	0.0672267i
$41$	−10.3436	−	3.03716i	−1.61540	−	0.474325i	−0.655626	−	0.755086i	$-0.727595\pi$
$41$	−10.3436	−	3.03716i	−1.61540	−	0.474325i	−0.959778	+	0.280760i	$0.909413\pi$
$42$	−8.26390	−	3.08228i	−1.27515	−	0.475606i
$43$	−1.88948	+	2.52405i	−0.288144	+	0.384915i	−0.921134	−	0.389245i	$-0.872736\pi$
$43$	−1.88948	+	2.52405i	−0.288144	+	0.384915i	0.632991	+	0.774159i	$0.281827\pi$
$44$	0.906028	+	0.582269i	0.136589	+	0.0877804i
$45$	11.6576	+	1.94940i	1.73781	+	0.290599i
$46$	3.56680	+	3.20593i	0.525895	+	0.472688i
$47$	1.06238	+	1.06238i	0.154964	+	0.154964i	0.780331	−	0.625367i	$-0.215051\pi$
$47$	1.06238	+	1.06238i	0.154964	+	0.154964i	−0.625367	+	0.780331i	$0.715051\pi$
$48$	2.81273	−	0.611871i	0.405982	−	0.0883160i
$49$	−2.36433	+	0.339940i	−0.337762	+	0.0485628i
$50$	−3.17642	+	3.86139i	−0.449214	+	0.546083i
$51$	−5.04174	+	17.1706i	−0.705984	+	2.40436i
$52$	1.28305	−	0.478552i	0.177927	−	0.0663633i
$53$	4.45094	−	0.318337i	0.611383	−	0.0437270i	0.237785	−	0.971318i	$-0.423579\pi$
$53$	4.45094	−	0.318337i	0.611383	−	0.0437270i	0.373598	+	0.927591i	$0.378124\pi$
$54$	6.51275	+	0.936392i	0.886273	+	0.127427i
$55$	−2.39095	+	0.288082i	−0.322395	+	0.0388450i
$56$	2.31568	−	2.00655i	0.309446	−	0.268137i
$57$	−3.13607	+	14.4163i	−0.415383	+	1.90948i
$58$	−1.42928	+	6.57030i	−0.187674	+	0.862723i
$59$	−4.89085	+	4.23795i	−0.636735	+	0.551734i	−0.912287	−	0.409552i	$-0.865685\pi$
$59$	−4.89085	+	4.23795i	−0.636735	+	0.551734i	0.275552	+	0.961286i	$0.411139\pi$
$60$	−3.97419	+	5.06308i	−0.513066	+	0.653641i
$61$	−7.99883	−	1.15006i	−1.02414	−	0.147250i	−0.390282	−	0.920695i	$-0.627623\pi$
$61$	−7.99883	−	1.15006i	−1.02414	−	0.147250i	−0.633863	+	0.773446i	$0.718532\pi$
$62$	3.63155	−	0.259734i	0.461207	−	0.0329862i
$63$	15.1750	−	5.65999i	1.91187	−	0.713092i
$64$	−0.281733	+	0.959493i	−0.0352166	+	0.119937i
$65$	−1.52861	+	2.65320i	−0.189600	+	0.329090i
$66$	−3.06859	+	0.441197i	−0.377718	+	0.0543076i
$67$	13.3022	−	2.89371i	1.62512	−	0.353523i	0.694493	−	0.719500i	$-0.255629\pi$
$67$	13.3022	−	2.89371i	1.62512	−	0.353523i	0.930624	+	0.365977i	$0.119265\pi$
$68$	−4.39603	−	4.39603i	−0.533097	−	0.533097i
$69$	−13.8026	−	0.250782i	−1.66163	−	0.0301906i
$70$	−1.13003	+	6.75768i	−0.135064	+	0.807697i
$71$	2.34878	+	1.50947i	0.278749	+	0.179141i	0.672544	−	0.740057i	$-0.265202\pi$
$71$	2.34878	+	1.50947i	0.278749	+	0.179141i	−0.393795	+	0.919198i	$0.628838\pi$
$72$	−3.16767	+	4.23151i	−0.373313	+	0.498688i
$73$	12.8449	+	4.79092i	1.50339	+	0.560735i	0.960307	−	0.278946i	$-0.0899851\pi$
$73$	12.8449	+	4.79092i	1.50339	+	0.560735i	0.543081	+	0.839681i	$0.317258\pi$
$74$	−8.18274	−	2.40267i	−0.951224	−	0.279304i
$75$	−0.368724	−	14.3878i	−0.0425766	−	1.66136i
$76$	−3.87351	−	3.35641i	−0.444322	−	0.385007i
$77$	−2.64180	+	1.97763i	−0.301061	+	0.225372i
$78$	−1.88910	+	3.45963i	−0.213899	+	0.391726i
$79$	−0.149343	−	0.172351i	−0.0168024	−	0.0193910i	0.747286	−	0.664502i	$-0.231356\pi$
$79$	−0.149343	−	0.172351i	−0.0168024	−	0.0193910i	−0.764089	+	0.645111i	$0.776811\pi$
$80$	−0.882101	−	2.05473i	−0.0986219	−	0.229725i
$81$	−2.59304	+	1.66645i	−0.288116	+	0.185161i
$82$	−0.769059	+	10.7528i	−0.0849283	+	1.18745i
$83$	−6.43033	−	3.51122i	−0.705820	−	0.385407i	0.0858893	−	0.996305i	$-0.472627\pi$
$83$	−6.43033	−	3.51122i	−0.705820	−	0.385407i	−0.791710	+	0.610898i	$0.790809\pi$
$84$	−1.25522	+	8.73023i	−0.136955	+	0.952546i
$85$	13.8397	+	1.30881i	1.50113	+	0.141961i
$86$	2.86801	+	1.30978i	0.309265	+	0.141237i
$87$	−9.27586	−	16.9875i	−0.994476	−	1.82125i
$88$	0.376372	−	1.00909i	0.0401214	−	0.107570i
$89$	−1.55864	−	10.8406i	−0.165216	−	1.14910i	−0.888609	−	0.458666i	$-0.848328\pi$
$89$	−1.55864	−	10.8406i	−0.165216	−	1.14910i	0.723393	−	0.690437i	$-0.242582\pi$
$90$	−0.573146	−	11.8055i	−0.0604149	−	1.24441i
$91$			4.19593i			0.439853i
$92$	2.37448	−	4.16675i	0.247557	−	0.434414i
$93$	−7.41058	+	7.41058i	−0.768442	+	0.768442i
$94$	0.812278	−	1.26393i	0.0837801	−	0.130364i
$95$	11.4577	+	0.262301i	1.17554	+	0.0269115i
$96$	−1.19578	−	2.61838i	−0.122043	−	0.267238i
$97$	−5.50953	+	3.00843i	−0.559408	+	0.305460i	−0.733965	−	0.679187i	$-0.762332\pi$
$97$	−5.50953	+	3.00843i	−0.559408	+	0.305460i	0.174557	+	0.984647i	$0.444151\pi$
$98$	0.834746	+	2.23804i	0.0843221	+	0.226076i
$99$	3.72800	−	4.30234i	0.374678	−	0.432401i
$100$	4.44834	+	2.28303i	0.444834	+	0.228303i
$101$	−15.2871	+	4.48870i	−1.52112	+	0.446643i	−0.932321	−	0.361633i	$-0.882219\pi$
$101$	−15.2871	+	4.48870i	−1.52112	+	0.446643i	−0.588804	+	0.808276i	$0.700401\pi$
$102$	17.8499	+	1.27665i	1.76740	+	0.126407i
$103$	3.46771	+	0.754353i	0.341683	+	0.0743286i	0.380133	−	0.924932i	$-0.375878\pi$
$103$	3.46771	+	0.754353i	0.341683	+	0.0743286i	−0.0384496	+	0.999261i	$0.512242\pi$
$104$	−0.740348	−	1.15200i	−0.0725971	−	0.112963i
$105$	−10.2801	−	16.8310i	−1.00323	−	1.64254i
$106$	−1.25718	−	4.28155i	−0.122108	−	0.415861i
$107$	11.2174	+	14.9847i	1.08443	+	1.44863i	0.883146	+	0.469098i	$0.155421\pi$
$107$	11.2174	+	14.9847i	1.08443	+	1.44863i	0.201285	+	0.979533i	$0.435488\pi$
$108$	−0.469392	−	6.56296i	−0.0451673	−	0.631521i
$109$	−0.832474	+	1.82286i	−0.0797366	+	0.174599i	−0.945301	−	0.326198i	$-0.894232\pi$
$109$	−0.832474	+	1.82286i	−0.0797366	+	0.174599i	0.865565	+	0.500797i	$0.166960\pi$
$110$	0.789731	+	2.27507i	0.0752979	+	0.216920i
$111$	22.3301	−	10.1978i	2.11948	−	0.967932i
$112$	−2.45293	−	1.83624i	−0.231780	−	0.173508i
$113$	−3.05719	−	14.0537i	−0.287596	−	1.32206i	−0.863421	−	0.504484i	$-0.831683\pi$
$113$	−3.05719	−	14.0537i	−0.287596	−	1.32206i	0.575825	−	0.817573i	$-0.304681\pi$
$114$	14.7535			1.38179
$115$	1.84749	+	10.5635i	0.172279	+	0.985048i
$116$	6.72396			0.624304
$117$	−1.53862	−	7.07291i	−0.142245	−	0.653891i
$118$	5.18072	+	3.87824i	0.476924	+	0.357021i
$119$	17.3278	−	7.91333i	1.58843	−	0.725414i
$120$	5.79215	+	2.80714i	0.528749	+	0.256255i
$121$	4.08771	−	8.95085i	0.371610	−	0.813713i
$122$	0.576498	+	8.06049i	0.0521936	+	0.729763i
$123$	−18.5963	−	24.8418i	−1.67677	−	2.23991i
$124$	−1.02574	−	3.49335i	−0.0921141	−	0.313712i
$125$	−10.9183	+	2.40640i	−0.976562	+	0.215235i
$126$	−8.75632	−	13.6251i	−0.780075	−	1.21382i
$127$	−7.32749	−	1.59400i	−0.650210	−	0.141444i	−0.124649	−	0.992201i	$-0.539781\pi$
$127$	−7.32749	−	1.59400i	−0.650210	−	0.141444i	−0.525560	+	0.850756i	$0.676144\pi$
$128$	0.997452	+	0.0713392i	0.0881631	+	0.00630555i
$129$	−8.70812	+	2.55693i	−0.766707	+	0.225125i
$130$	2.91750	+	0.929695i	0.255882	+	0.0815396i
$131$	7.13870	−	8.23850i	0.623711	−	0.719801i	−0.352696	−	0.935738i	$-0.614735\pi$
$131$	7.13870	−	8.23850i	0.623711	−	0.719801i	0.976407	+	0.215937i	$0.0692806\pi$
$132$	1.08339	+	2.90468i	0.0942970	+	0.252820i
$133$	13.7836	−	7.52643i	1.19519	−	0.652624i
$134$	−5.65515	−	12.3831i	−0.488531	−	1.06973i
$135$	10.1626	+	10.6388i	0.874659	+	0.915645i
$136$	−3.36112	+	5.23001i	−0.288214	+	0.448470i
$137$	6.04503	−	6.04503i	0.516462	−	0.516462i	−0.400037	−	0.916499i	$-0.631003\pi$
$137$	6.04503	−	6.04503i	0.516462	−	0.516462i	0.916499	+	0.400037i	$0.131003\pi$
$138$	2.68889	+	13.5404i	0.228894	+	1.15264i
$139$		−	5.24409i		−	0.444798i	−0.974956	−	0.222399i	$-0.928611\pi$
$139$		−	5.24409i		−	0.444798i	0.974956	−	0.222399i	$-0.0713887\pi$
$140$	6.84345	−	0.332243i	0.578377	−	0.0280796i
$141$	0.615479	+	4.28075i	0.0518327	+	0.360504i
$142$	0.975705	−	2.61597i	0.0818794	−	0.219527i
$143$	0.706811	+	1.29443i	0.0591065	+	0.108245i
$144$	4.80814	+	2.19580i	0.400678	+	0.182984i
$145$	−11.5852	+	9.58335i	−0.962102	+	0.795854i
$146$	1.95104	−	13.5698i	0.161469	−	1.12304i
$147$	−6.03469	−	3.29519i	−0.497733	−	0.271783i
$148$	−0.608394	+	8.50646i	−0.0500097	+	0.699227i
$149$	−3.20237	+	2.05804i	−0.262348	+	0.168601i	−0.665202	−	0.746663i	$-0.731655\pi$
$149$	−3.20237	+	2.05804i	−0.262348	+	0.168601i	0.402854	+	0.915264i	$0.368018\pi$
$150$	−13.9806	+	3.41865i	−1.14151	+	0.279131i
$151$	10.1970	+	11.7680i	0.829824	+	0.957668i	0.999613	−	0.0278127i	$-0.00885420\pi$
$151$	10.1970	+	11.7680i	0.829824	+	0.957668i	−0.169789	+	0.985480i	$0.554309\pi$
$152$	−2.45633	+	4.49844i	−0.199235	+	0.364872i
$153$	−26.3070	+	19.6932i	−2.12679	+	1.59210i
$154$	2.49399	+	2.16105i	0.200971	+	0.174143i
$155$	6.74623	+	4.55702i	0.541870	+	0.366029i
$156$	3.78213	+	1.11053i	0.302813	+	0.0889138i
$157$	10.5917	+	3.95050i	0.845310	+	0.315284i	0.734543	−	0.678562i	$-0.237397\pi$
$157$	10.5917	+	3.95050i	0.845310	+	0.315284i	0.110767	+	0.993846i	$0.464669\pi$
$158$	−0.136667	+	0.182566i	−0.0108726	+	0.0145242i
$159$	10.8057	+	6.94442i	0.856949	+	0.550728i
$160$	−1.82026	+	1.29871i	−0.143905	+	0.102672i
$161$	9.41975	+	11.2786i	0.742380	+	0.888879i
$162$	2.17955	+	2.17955i	0.171242	+	0.171242i
$163$	7.39420	−	1.60851i	0.579158	−	0.125988i	0.0865624	−	0.996246i	$-0.472412\pi$
$163$	7.39420	−	1.60851i	0.579158	−	0.125988i	0.492596	+	0.870258i	$0.336048\pi$
$164$	10.6706	−	1.53420i	0.833232	−	0.119801i
$165$	−6.00657	−	3.46060i	−0.467610	−	0.269407i
$166$	−2.06412	+	7.02974i	−0.160207	+	0.545614i
$167$	−0.947008	+	0.353216i	−0.0732817	+	0.0273327i	−0.385838	−	0.922567i	$-0.626088\pi$
$167$	−0.947008	+	0.353216i	−0.0732817	+	0.0273327i	0.312556	+	0.949899i	$0.398815\pi$
$168$	8.79753	−	0.629212i	0.678745	−	0.0485448i
$169$	−11.0115	−	1.58322i	−0.847041	−	0.121786i
$170$	−1.66294	−	13.8016i	−0.127542	−	1.05854i
$171$	−20.4746	+	17.7414i	−1.56573	+	1.35671i
$172$	0.670204	−	3.08088i	0.0511026	−	0.234915i
$173$	−2.55195	+	11.7311i	−0.194021	+	0.891900i	0.772440	+	0.635087i	$0.219036\pi$
$173$	−2.55195	+	11.7311i	−0.194021	+	0.891900i	−0.966461	+	0.256812i	$0.917328\pi$
$174$	−14.6275	+	12.6748i	−1.10891	+	0.960876i
$175$	−11.3176	+	10.3261i	−0.855529	+	0.780579i
$176$	−1.06604	−	0.153273i	−0.0803555	−	0.0115534i
$177$	−18.5809	+	1.32893i	−1.39662	+	0.0998886i
$178$	−10.2616	+	3.82736i	−0.769136	+	0.286873i
$179$	−3.36380	+	11.4560i	−0.251422	+	0.856265i	0.732968	+	0.680263i	$0.238135\pi$
$179$	−3.36380	+	11.4560i	−0.251422	+	0.856265i	−0.984390	+	0.176001i	$0.943684\pi$
$180$	−11.4139	+	3.06949i	−0.850742	+	0.228786i
$181$	18.7808	−	2.70027i	1.39596	−	0.200709i	0.597074	−	0.802186i	$-0.296330\pi$
$181$	18.7808	−	2.70027i	1.39596	−	0.200709i	0.798890	+	0.601477i	$0.205421\pi$
$182$	4.10004	−	0.891909i	0.303915	−	0.0661127i
$183$	−16.4483	−	16.4483i	−1.21590	−	1.21590i
$184$	−4.57626	−	1.43451i	−0.337367	−	0.105754i
$185$	−11.0756	−	15.5236i	−0.814295	−	1.14131i
$186$	8.81646	+	5.66599i	0.646454	+	0.415451i
$187$	4.01253	−	5.36012i	0.293426	−	0.391971i
$188$	−1.40771	−	0.525047i	−0.102668	−	0.0382930i
$189$	19.3442	+	5.67997i	1.40708	+	0.413157i
$190$	−2.17920	−	11.2516i	−0.158096	−	0.816278i
$191$	5.44055	+	4.71426i	0.393664	+	0.341112i	0.829093	−	0.559111i	$-0.188858\pi$
$191$	5.44055	+	4.71426i	0.393664	+	0.341112i	−0.435428	+	0.900223i	$0.643403\pi$
$192$	−2.30436	+	1.72503i	−0.166303	+	0.124493i
$193$	1.65748	−	3.03545i	0.119308	−	0.218497i	−0.811199	−	0.584770i	$-0.801185\pi$
$193$	1.65748	−	3.03545i	0.119308	−	0.218497i	0.930507	+	0.366273i	$0.119367\pi$
$194$	4.11081	+	4.74413i	0.295139	+	0.340609i
$195$	−8.09931	+	3.47706i	−0.580004	+	0.248998i
$196$	2.00946	−	1.29140i	0.143533	−	0.0922428i
$197$	1.78697	−	24.9850i	0.127316	−	1.78011i	−0.386578	−	0.922257i	$-0.626343\pi$
$197$	1.78697	−	24.9850i	0.127316	−	1.78011i	0.513894	−	0.857854i	$-0.328202\pi$
$198$	−4.99646	−	2.72827i	−0.355083	−	0.193890i
$199$	2.66992	−	18.5697i	0.189266	−	1.31637i	−0.644650	−	0.764478i	$-0.722997\pi$
$199$	2.66992	−	18.5697i	0.189266	−	1.31637i	0.833915	−	0.551892i	$-0.186094\pi$
$200$	1.28529	−	4.83198i	0.0908840	−	0.341673i
$201$	35.6447	+	16.2784i	2.51419	+	1.14819i
$202$	7.63563	+	13.9836i	0.537241	+	0.983884i
$203$	−7.19995	+	19.3038i	−0.505337	+	1.35486i
$204$	−2.54679	−	17.7133i	−0.178311	−	1.24018i
$205$	−16.1986	+	17.8517i	−1.13136	+	1.24681i
$206$		−	3.54881i		−	0.247257i
$207$	−20.0143	−	15.5578i	−1.39109	−	1.08134i
$208$	−0.968304	+	0.968304i	−0.0671398	+	0.0671398i
$209$	2.98435	−	4.64374i	0.206432	−	0.321214i
$210$	−14.2612	+	13.6228i	−0.984115	+	0.940065i
$211$	−6.07886	−	13.3108i	−0.418486	−	0.916356i	−0.995057	−	0.0993091i	$-0.968337\pi$
$211$	−6.07886	−	13.3108i	−0.418486	−	0.916356i	0.576571	−	0.817047i	$-0.304391\pi$
$212$	−3.91647	+	2.13856i	−0.268984	+	0.146877i
$213$	2.80858	+	7.53008i	0.192440	+	0.515953i
$214$	12.2579	−	14.1463i	0.837930	−	0.967023i
$215$	3.23628	+	6.26350i	0.220713	+	0.427167i
$216$	−6.31320	+	1.85372i	−0.429559	+	0.126130i
$217$	11.1274	+	0.795847i	0.755377	+	0.0540256i
$218$	1.95816	+	0.425972i	0.132623	+	0.0288505i
$219$	21.3350	+	33.1979i	1.44168	+	2.24331i
$220$	2.05521	−	1.25528i	0.138562	−	0.0846313i
$221$	−2.39850	−	8.16854i	−0.161341	−	0.549475i
$222$	−14.7113	−	19.6521i	−0.987361	−	1.31896i
$223$	0.556927	+	7.78686i	0.0372946	+	0.521447i	0.981421	+	0.191864i	$0.0614534\pi$
$223$	0.556927	+	7.78686i	0.0372946	+	0.521447i	−0.944127	+	0.329582i	$0.893092\pi$
$224$	−1.27287	+	2.78719i	−0.0850471	+	0.186227i
$225$	15.2911	−	21.5564i	1.01941	−	1.43709i
$226$	−13.0826	+	5.97464i	−0.870244	+	0.397427i
$227$	−2.38636	−	1.78641i	−0.158388	−	0.118568i	0.517144	−	0.855898i	$-0.326995\pi$
$227$	−2.38636	−	1.78641i	−0.158388	−	0.118568i	−0.675532	+	0.737330i	$0.736086\pi$
$228$	−3.13607	−	14.4163i	−0.207691	−	0.954742i
$229$	8.72074			0.576283			0.288141	−	0.957588i	$-0.406963\pi$
$229$	8.72074			0.576283			0.288141	+	0.957588i	$0.406963\pi$
$230$	9.92934	−	4.05070i	0.654722	−	0.267095i
$231$	−9.49913			−0.624997
$232$	−1.42928	−	6.57030i	−0.0938369	−	0.431361i
$233$	2.15447	+	1.61281i	0.141144	+	0.105659i	0.667516	−	0.744595i	$-0.267357\pi$
$233$	2.15447	+	1.61281i	0.141144	+	0.105659i	−0.526373	+	0.850254i	$0.676448\pi$
$234$	−6.58422	+	3.00691i	−0.430424	+	0.196568i
$235$	3.17377	−	1.10169i	0.207034	−	0.0718665i
$236$	2.68837	−	5.88671i	0.174998	−	0.383192i
$237$	−0.0468308	−	0.654780i	−0.00304199	−	0.0425325i
$238$	−11.4158	−	15.2497i	−0.739975	−	0.988490i
$239$	5.27623	+	17.9692i	0.341291	+	1.16233i	0.934107	+	0.356992i	$0.116198\pi$
$239$	5.27623	+	17.9692i	0.341291	+	1.16233i	−0.592817	+	0.805337i	$0.701984\pi$
$240$	1.51177	−	6.25648i	0.0975845	−	0.403854i
$241$	−2.91764	−	4.53993i	−0.187941	−	0.292443i	0.734478	−	0.678633i	$-0.237427\pi$
$241$	−2.91764	−	4.53993i	−0.187941	−	0.292443i	−0.922419	+	0.386190i	$0.873791\pi$
$242$	−9.61520	−	2.09166i	−0.618088	−	0.134457i
$243$	10.8389	+	0.775213i	0.695316	+	0.0497300i
$244$	7.75374	−	2.27670i	0.496382	−	0.145751i
$245$	−1.62168	+	5.08904i	−0.103605	+	0.325127i
$246$	−20.3211	+	23.4518i	−1.29563	+	1.49523i
$247$	−2.45276	−	6.57612i	−0.156066	−	0.418428i
$248$	−3.19548	+	1.74486i	−0.202913	+	0.110799i
$249$	−8.76087	−	19.1836i	−0.555197	−	1.21571i
$250$	4.67226	+	10.1573i	0.295500	+	0.642402i
$251$	−6.45704	+	10.0473i	−0.407564	+	0.634183i	−0.982987	−	0.183673i	$-0.941201\pi$
$251$	−6.45704	+	10.0473i	−0.407564	+	0.634183i	0.575423	+	0.817856i	$0.304838\pi$
$252$	−11.4524	+	11.4524i	−0.721436	+	0.721436i
$253$	4.80585	+	1.89263i	0.302141	+	0.118989i
$254$			7.49886i			0.470521i
$255$	29.6340	+	26.8899i	1.85575	+	1.68391i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	−5.43620	+	14.5750i	−0.339101	+	0.909164i	0.649736	+	0.760160i	$0.274879\pi$
$257$	−5.43620	+	14.5750i	−0.339101	+	0.909164i	−0.988837	+	0.149004i	$0.952393\pi$
$258$	4.34954	+	7.96559i	0.270791	+	0.495916i
$259$	−23.7697	−	10.8553i	−1.47698	−	0.674513i
$260$	0.288289	−	3.04845i	0.0178789	−	0.189057i
$261$	5.05810	−	35.1798i	0.313088	−	2.17758i
$262$	−9.56766	−	5.22434i	−0.591092	−	0.322761i
$263$	0.848075	−	11.8576i	0.0522945	−	0.731173i	−0.901892	−	0.431961i	$-0.857822\pi$
$263$	0.848075	−	11.8576i	0.0522945	−	0.731173i	0.954187	−	0.299212i	$-0.0967237\pi$
$264$	2.60801	−	1.67607i	0.160512	−	0.103155i
$265$	3.70002	−	9.26665i	0.227290	−	0.569246i
$266$	−10.2843	−	11.8688i	−0.630574	−	0.727721i
$267$	15.1086	−	27.6694i	0.924634	−	1.69334i
$268$	−10.8980	+	8.15812i	−0.665700	+	0.498337i
$269$	1.04648	+	0.906781i	0.0638051	+	0.0552874i	0.686180	−	0.727432i	$-0.259286\pi$
$269$	1.04648	+	0.906781i	0.0638051	+	0.0552874i	−0.622374	+	0.782720i	$0.713832\pi$
$270$	8.23548	−	12.1918i	0.501195	−	0.741971i
$271$	−14.0821	−	4.13489i	−0.855429	−	0.251177i	−0.175522	−	0.984475i	$-0.556161\pi$
$271$	−14.0821	−	4.13489i	−0.855429	−	0.251177i	−0.679906	+	0.733299i	$0.737980\pi$
$272$	5.82495	+	2.17259i	0.353189	+	0.131733i
$273$	−7.23809	+	9.66896i	−0.438069	+	0.585192i
$274$	−7.19185	−	4.62192i	−0.434476	−	0.279221i
$275$	−1.75198	+	5.09202i	−0.105649	+	0.307060i
$276$	12.6594	−	5.50567i	0.762008	−	0.331403i
$277$	7.05036	+	7.05036i	0.423615	+	0.423615i	0.886446	−	0.462831i	$-0.153166\pi$
$277$	7.05036	+	7.05036i	0.423615	+	0.423615i	−0.462831	+	0.886446i	$0.653166\pi$
$278$	−5.12424	+	1.11471i	−0.307332	+	0.0668559i
$279$	−19.0488	+	2.73881i	−1.14042	+	0.163968i
$280$	−1.77933	−	6.61643i	−0.106335	−	0.395408i
$281$	6.84721	−	23.3195i	0.408471	−	1.39112i	−0.456689	−	0.889626i	$-0.650965\pi$
$281$	6.84721	−	23.3195i	0.408471	−	1.39112i	0.865160	−	0.501497i	$-0.167217\pi$
$282$	4.05209	−	1.51135i	0.241299	−	0.0899998i
$283$	14.4573	−	1.03401i	0.859399	−	0.0614654i	0.365320	−	0.930882i	$-0.380960\pi$
$283$	14.4573	−	1.03401i	0.859399	−	0.0614654i	0.494080	+	0.869417i	$0.335505\pi$
$284$	−2.76359	−	0.397344i	−0.163989	−	0.0235780i
$285$	25.9502	+	20.3693i	1.53716	+	1.20657i
$286$	1.11460	−	0.965808i	0.0659078	−	0.0571094i
$287$	−7.02142	+	32.2770i	−0.414461	+	1.90525i
$288$	1.12358	−	5.16501i	0.0662076	−	0.304351i
$289$	−16.3621	+	14.1778i	−0.962477	+	0.833991i
$290$	11.8270	+	9.28340i	0.694503	+	0.545140i
$291$	−17.8856	−	2.57156i	−1.04847	−	0.150747i
$292$	−13.6744	+	0.978012i	−0.800233	+	0.0572338i
$293$	−7.67591	+	2.86297i	−0.448431	+	0.167256i	−0.563526	−	0.826098i	$-0.690556\pi$
$293$	−7.67591	+	2.86297i	−0.448431	+	0.167256i	0.115095	+	0.993355i	$0.463283\pi$
$294$	−1.93712	+	6.59722i	−0.112975	+	0.384758i
$295$	3.75804	+	13.9743i	0.218802	+	0.813614i
$296$	8.44138	−	1.21369i	0.490645	−	0.0705442i
$297$	6.92440	−	1.50631i	0.401795	−	0.0874050i
$298$	2.69172	+	2.69172i	0.155927	+	0.155927i
$299$	5.58840	−	3.44963i	0.323186	−	0.199497i
$300$	6.31232	+	12.9344i	0.364442	+	0.746771i
$301$	8.12724	+	5.22306i	0.468447	+	0.301052i
$302$	9.33154	−	12.4655i	0.536970	−	0.717308i
$303$	−42.9702	−	16.0271i	−2.46857	−	0.920731i
$304$	4.91777	+	1.44399i	0.282053	+	0.0828183i
$305$	−10.1146	+	14.9737i	−0.579163	+	0.857394i
$306$	24.8351	+	21.5197i	1.41973	+	1.23020i
$307$	11.0762	−	8.29152i	0.632151	−	0.473222i	−0.234514	−	0.972113i	$-0.575350\pi$
$307$	11.0762	−	8.29152i	0.632151	−	0.473222i	0.866665	+	0.498890i	$0.166259\pi$
$308$	1.58153	−	2.89636i	0.0901161	−	0.165035i
$309$	6.68958	+	7.72019i	0.380557	+	0.439186i
$310$	3.01887	−	7.56072i	0.171460	−	0.429420i
$311$	−15.3220	+	9.84685i	−0.868830	+	0.558363i	−0.897395	−	0.441229i	$-0.854543\pi$
$311$	−15.3220	+	9.84685i	−0.868830	+	0.558363i	0.0285643	+	0.999592i	$0.490906\pi$
$312$	0.281205	−	3.93175i	0.0159201	−	0.222592i
$313$	−15.1993	−	8.29943i	−0.859114	−	0.469112i	−0.0116296	−	0.999932i	$-0.503702\pi$
$313$	−15.1993	−	8.29943i	−0.859114	−	0.469112i	−0.847484	+	0.530821i	$0.821884\pi$
$314$	1.60879	−	11.1894i	0.0907893	−	0.631454i
$315$	3.40969	−	36.0549i	0.192114	−	2.03146i
$316$	0.207444	+	0.0947366i	0.0116697	+	0.00532935i
$317$	15.3875	+	28.1801i	0.864247	+	1.58275i	0.811657	+	0.584134i	$0.198566\pi$
$317$	15.3875	+	28.1801i	0.864247	+	1.58275i	0.0525900	+	0.998616i	$0.483252\pi$
$318$	4.48879	−	12.0349i	0.251719	−	0.674885i
$319$	1.03060	+	7.16799i	0.0577026	+	0.401330i
$320$	1.65595	+	1.50261i	0.0925705	+	0.0839983i
$321$			53.8807i			3.00733i
$322$	9.01855	−	11.6019i	0.502584	−	0.646550i
$323$	−22.5313	+	22.5313i	−1.25368	+	1.25368i
$324$	1.66645	−	2.59304i	0.0925803	−	0.144058i
$325$	3.84809	+	5.66329i	0.213454	+	0.314143i
$326$	−3.14350	−	6.88330i	−0.174102	−	0.381231i
$327$	−5.06281	+	2.76450i	−0.279974	+	0.152877i
$328$	−3.76733	−	10.1006i	−0.208016	−	0.557713i
$329$	3.01471	−	3.47917i	0.166207	−	0.191813i
$330$	−2.10473	+	6.60490i	−0.115861	+	0.363588i
$331$	−8.18471	+	2.40325i	−0.449872	+	0.132094i	−0.498818	−	0.866707i	$-0.666232\pi$
$331$	−8.18471	+	2.40325i	−0.449872	+	0.132094i	0.0489451	+	0.998801i	$0.484414\pi$
$332$	7.30785	+	0.522668i	0.401070	+	0.0286851i
$333$	44.0482	+	9.58210i	2.41383	+	0.525096i
$334$	0.546445	+	0.850285i	0.0299001	+	0.0465255i
$335$	7.14959	−	29.5886i	0.390624	−	1.61660i
$336$	−2.48488	−	8.46273i	−0.135561	−	0.461680i
$337$	−17.7521	−	23.7140i	−0.967017	−	1.29178i	−0.956467	−	0.291840i	$-0.905733\pi$
$337$	−17.7521	−	23.7140i	−0.967017	−	1.29178i	−0.0105500	−	0.999944i	$-0.503358\pi$
$338$	0.793632	+	11.0964i	0.0431679	+	0.603566i
$339$	17.1980	−	37.6585i	0.934070	−	2.04533i
$340$	−13.1328	+	4.55869i	−0.712224	+	0.247230i
$341$	3.56681	−	1.62891i	0.193154	−	0.0882104i
$342$	21.6881	+	16.2355i	1.17276	+	0.877916i
$343$	−3.00346	−	13.8067i	−0.162172	−	0.745492i
$344$	−3.15293			−0.169995
$345$	−13.9650	+	27.5290i	−0.751848	+	1.48211i
$346$	12.0055			0.645418
$347$	−1.76513	−	8.11418i	−0.0947572	−	0.435592i	−0.999944	−	0.0105780i	$-0.996633\pi$
$347$	−1.76513	−	8.11418i	−0.0947572	−	0.435592i	0.905187	−	0.425014i	$-0.139731\pi$
$348$	15.4945	+	11.5990i	0.830590	+	0.621772i
$349$	8.32569	−	3.80221i	0.445664	−	0.203528i	−0.179926	−	0.983680i	$-0.557586\pi$
$349$	8.32569	−	3.80221i	0.445664	−	0.203528i	0.625590	+	0.780152i	$0.284858\pi$
$350$	12.4958	+	8.86398i	0.667931	+	0.473800i
$351$	3.74297	−	8.19597i	0.199785	−	0.437468i
$352$	0.0768322	+	1.07425i	0.00409517	+	0.0572579i
$353$	−5.22242	−	6.97633i	−0.277961	−	0.371313i	0.639735	−	0.768596i	$-0.279044\pi$
$353$	−5.22242	−	6.97633i	−0.277961	−	0.371313i	−0.917696	+	0.397283i	$0.869953\pi$
$354$	5.24821	+	17.8738i	0.278939	+	0.949980i
$355$	5.32791	−	3.25419i	0.282776	−	0.172715i
$356$	5.92115	+	9.21348i	0.313820	+	0.488314i
$357$	53.5802	+	11.6557i	2.83577	+	0.616883i
$358$	11.9093	+	0.851767i	0.629424	+	0.0450173i
$359$	5.27713	−	1.54951i	0.278516	−	0.0817798i	−0.139491	−	0.990223i	$-0.544547\pi$
$359$	5.27713	−	1.54951i	0.278516	−	0.0817798i	0.418008	+	0.908444i	$0.362729\pi$
$360$	5.42554	+	10.5006i	0.285951	+	0.553430i
$361$	−4.76054	+	5.49395i	−0.250555	+	0.289155i
$362$	−6.63070	−	17.7776i	−0.348502	−	0.934370i
$363$	24.8600	−	13.5746i	1.30481	−	0.712482i
$364$	−1.74305	−	3.81675i	−0.0913608	−	0.200052i
$365$	22.1668	−	21.1746i	1.16026	−	1.10833i
$366$	−12.5761	+	19.5688i	−0.657363	+	1.02288i
$367$	−9.54962	+	9.54962i	−0.498486	+	0.498486i	−0.910966	−	0.412480i	$-0.864663\pi$
$367$	−9.54962	+	9.54962i	−0.498486	+	0.498486i	0.412480	+	0.910966i	$0.364663\pi$
$368$	−0.428975	+	4.77661i	−0.0223618	+	0.248998i
$369$		−	56.9827i		−	2.96640i
$370$	−12.8145	+	14.1223i	−0.666195	+	0.734181i
$371$	−1.94586	−	13.5337i	−0.101024	−	0.702637i
$372$	3.66244	−	9.81937i	0.189888	−	0.509111i
$373$	−13.7148	−	25.1169i	−0.710128	−	1.30050i	−0.944550	−	0.328367i	$-0.893502\pi$
$373$	−13.7148	−	25.1169i	−0.710128	−	1.30050i	0.234422	−	0.972135i	$-0.424680\pi$
$374$	−6.09055	−	2.78146i	−0.314935	−	0.143826i
$375$	−29.3108	−	13.2891i	−1.51361	−	0.686247i
$376$	−0.213819	+	1.48714i	−0.0110269	+	0.0766935i
$377$	8.08143	+	4.41279i	0.416215	+	0.227270i
$378$	1.43826	−	20.1095i	0.0739761	−	1.03432i
$379$	−12.1453	+	7.80529i	−0.623860	+	0.400931i	−0.814032	−	0.580820i	$-0.802732\pi$
$379$	−12.1453	+	7.80529i	−0.623860	+	0.400931i	0.190172	+	0.981751i	$0.439096\pi$
$380$	−10.5313	+	4.52110i	−0.540242	+	0.231928i
$381$	−14.1355	−	16.3133i	−0.724185	−	0.835754i
$382$	3.45005	−	6.31830i	0.176520	−	0.323273i
$383$	7.55911	−	5.65868i	0.386253	−	0.289145i	−0.388451	−	0.921469i	$-0.626990\pi$
$383$	7.55911	−	5.65868i	0.386253	−	0.289145i	0.774704	+	0.632324i	$0.217899\pi$
$384$	2.17543	+	1.88502i	0.111015	+	0.0961946i
$385$	1.40310	+	7.24444i	0.0715085	+	0.369211i
$386$	−3.31841	−	0.974372i	−0.168902	−	0.0495942i
$387$	−15.6150	−	5.82410i	−0.793756	−	0.296056i
$388$	3.76190	−	5.02531i	0.190981	−	0.255121i
$389$	8.36594	+	5.37646i	0.424170	+	0.272597i	0.735263	−	0.677782i	$-0.237059\pi$
$389$	8.36594	+	5.37646i	0.424170	+	0.272597i	−0.311093	+	0.950379i	$0.600695\pi$
$390$	5.11923	+	7.17512i	0.259223	+	0.363326i
$391$	−24.7853	−	16.5724i	−1.25345	−	0.838101i
$392$	−1.68903	−	1.68903i	−0.0853088	−	0.0853088i
$393$	30.6618	−	6.67006i	1.54668	−	0.336460i
$394$	−24.7939	+	3.56482i	−1.24910	+	0.179593i
$395$	−0.492446	+	0.132431i	−0.0247776	+	0.00666335i
$396$	−1.60385	+	5.46221i	−0.0805964	+	0.274486i
$397$	−1.93599	+	0.722087i	−0.0971645	+	0.0362405i	−0.397576	−	0.917569i	$-0.630149\pi$
$397$	−1.93599	+	0.722087i	−0.0971645	+	0.0362405i	0.300412	+	0.953810i	$0.402876\pi$
$398$	−18.7128	+	1.33837i	−0.937990	+	0.0670864i
$399$	44.7458	+	6.43347i	2.24009	+	0.322076i
$400$	−4.99476	−	0.228810i	−0.249738	−	0.0114405i
$401$	−12.3005	+	10.6584i	−0.614258	+	0.532257i	−0.905475	−	0.424400i	$-0.860485\pi$
$401$	−12.3005	+	10.6584i	−0.614258	+	0.532257i	0.291217	+	0.956657i	$0.405940\pi$
$402$	8.32956	−	38.2904i	0.415441	−	1.90975i
$403$	1.05979	−	4.87177i	0.0527918	−	0.242680i
$404$	12.0410	−	10.4336i	0.599061	−	0.519089i
$405$	0.824487	+	6.84286i	0.0409691	+	0.340024i
$406$	20.3931	+	2.93209i	1.01209	+	0.145517i
$407$	−9.16144	+	0.655239i	−0.454116	+	0.0324790i
$408$	−16.7672	+	6.25383i	−0.830098	+	0.309611i
$409$	−10.1345	+	34.5149i	−0.501118	+	1.70665i	0.188144	+	0.982141i	$0.439753\pi$
$409$	−10.1345	+	34.5149i	−0.501118	+	1.70665i	−0.689263	+	0.724511i	$0.742065\pi$
$410$	20.8870	+	12.0337i	1.03153	+	0.594304i
$411$	24.3578	−	3.50212i	1.20148	−	0.172747i
$412$	−3.46771	+	0.754353i	−0.170842	+	0.0371643i
$413$	14.0215	+	14.0215i	0.689951	+	0.689951i
$414$	−10.9479	+	22.8639i	−0.538058	+	1.12370i
$415$	−13.3362	+	9.51498i	−0.654648	+	0.467072i
$416$	1.15200	+	0.740348i	0.0564816	+	0.0362985i
$417$	9.04619	−	12.0843i	0.442994	−	0.591770i
$418$	−5.17199	−	1.92905i	−0.252970	−	0.0943530i
$419$	10.9198	+	3.20635i	0.533468	+	0.156640i	0.537361	−	0.843352i	$-0.319421\pi$
$419$	10.9198	+	3.20635i	0.533468	+	0.156640i	−0.00389331	+	0.999992i	$0.501239\pi$
$420$	16.3429	+	11.0395i	0.797454	+	0.538674i
$421$	−8.49226	−	7.35859i	−0.413888	−	0.358636i	0.422888	−	0.906182i	$-0.361016\pi$
$421$	−8.49226	−	7.35859i	−0.413888	−	0.358636i	−0.836775	+	0.547546i	$0.815562\pi$
$422$	−11.7145	+	8.76936i	−0.570253	+	0.426886i
$423$	−3.80600	+	6.97016i	−0.185054	+	0.338901i
$424$	2.92219	+	3.37239i	0.141914	+	0.163778i
$425$	16.1302	−	26.5720i	0.782428	−	1.28893i
$426$	6.76099	−	4.34503i	0.327571	−	0.210517i
$427$	−1.76644	+	24.6981i	−0.0854840	+	1.19522i
$428$	−16.4286	−	8.97071i	−0.794108	−	0.433616i
$429$	−0.604170	+	4.20210i	−0.0291696	+	0.202879i
$430$	5.43244	−	4.49373i	0.261975	−	0.216707i
$431$	−11.9527	−	5.45860i	−0.575740	−	0.262932i	0.106194	−	0.994345i	$-0.466134\pi$
$431$	−11.9527	−	5.45860i	−0.575740	−	0.262932i	−0.681934	+	0.731414i	$0.738861\pi$
$432$	3.15332	+	5.77488i	0.151714	+	0.277844i
$433$	−3.69854	+	9.91616i	−0.177740	+	0.476540i	−0.995017	−	0.0997051i	$-0.968210\pi$
$433$	−3.69854	+	9.91616i	−0.177740	+	0.476540i	0.817277	+	0.576245i	$0.195483\pi$
$434$	−1.58764	−	11.0423i	−0.0762091	−	0.530046i
$435$	−43.2282	+	2.09868i	−2.07263	+	0.100624i
$436$		−	2.00396i		−	0.0959722i
$437$	−21.3562	−	12.1701i	−1.02161	−	0.582177i
$438$	27.9041	−	27.9041i	1.33331	−	1.33331i
$439$	−9.78974	+	15.2331i	−0.467239	+	0.727038i	−0.992277	−	0.124041i	$-0.960415\pi$
$439$	−9.78974	+	15.2331i	−0.467239	+	0.727038i	0.525038	+	0.851079i	$0.324051\pi$
$440$	−1.66346	−	1.74141i	−0.0793025	−	0.0830185i
$441$	−5.24500	−	11.4849i	−0.249762	−	0.546902i
$442$	−7.47203	+	4.08003i	−0.355408	+	0.194067i
$443$	−11.0971	−	29.7524i	−0.527237	−	1.41358i	−0.878699	−	0.477376i	$-0.841588\pi$
$443$	−11.0971	−	29.7524i	−0.527237	−	1.41358i	0.351462	−	0.936202i	$-0.385685\pi$
$444$	−16.0758	+	18.5525i	−0.762925	+	0.880462i
$445$	−23.3335	−	7.43550i	−1.10612	−	0.352477i
$446$	7.49052	−	2.19942i	0.354687	−	0.104145i
$447$	−10.9296	−	0.781700i	−0.516952	−	0.0369731i
$448$	2.99407	+	0.651319i	0.141456	+	0.0307719i
$449$	−18.4580	−	28.7212i	−0.871086	−	1.35544i	−0.933946	−	0.357415i	$-0.883658\pi$
$449$	−18.4580	−	28.7212i	−0.871086	−	1.35544i	0.0628595	−	0.998022i	$-0.479978\pi$
$450$	−24.3141	−	10.3595i	−1.14618	−	0.488352i
$451$	3.27102	+	11.1401i	0.154026	+	0.524565i
$452$	8.61901	+	11.5137i	0.405404	+	0.541557i
$453$	3.19758	+	44.7080i	0.150235	+	2.10056i
$454$	−1.23833	+	2.71155i	−0.0581175	+	0.127260i
$455$	8.44308	+	4.09189i	0.395818	+	0.191831i
$456$	−13.4202	+	6.12881i	−0.628459	+	0.287008i
$457$	−2.69107	−	2.01451i	−0.125883	−	0.0942347i	0.534481	−	0.845180i	$-0.320507\pi$
$457$	−2.69107	−	2.01451i	−0.125883	−	0.0942347i	−0.660364	+	0.750946i	$0.729598\pi$
$458$	−1.85373	−	8.52145i	−0.0866190	−	0.398181i
$459$	−40.9056			−1.90931
$460$	−6.06876	−	8.84139i	−0.282957	−	0.412232i
$461$	6.32724			0.294689			0.147344	−	0.989085i	$-0.452927\pi$
$461$	6.32724			0.294689			0.147344	+	0.989085i	$0.452927\pi$
$462$	2.01919	+	9.28205i	0.0939410	+	0.431840i
$463$	−7.38300	−	5.52685i	−0.343117	−	0.256854i	0.413796	−	0.910370i	$-0.364203\pi$
$463$	−7.38300	−	5.52685i	−0.343117	−	0.256854i	−0.756913	+	0.653515i	$0.773294\pi$
$464$	−6.11633	+	2.79324i	−0.283944	+	0.129673i
$465$	7.68479	+	22.1385i	0.356373	+	1.02665i
$466$	1.11799	−	2.44806i	0.0517899	−	0.113404i
$467$	2.06297	+	28.8442i	0.0954631	+	1.33475i	0.789029	+	0.614355i	$0.210584\pi$
$467$	2.06297	+	28.8442i	0.0954631	+	1.33475i	−0.693566	+	0.720393i	$0.743962\pi$
$468$	4.33777	+	5.79458i	0.200513	+	0.267855i
$469$	−11.7517	−	40.0226i	−0.542643	−	1.84807i
$470$	−1.75115	−	2.86706i	−0.0807745	−	0.132248i
$471$	17.5924	+	27.3744i	0.810616	+	1.26134i
$472$	−6.32363	−	1.37562i	−0.291069	−	0.0633181i
$473$	3.38705	+	0.242247i	0.155737	+	0.0111385i
$474$	−0.629862	+	0.184944i	−0.0289305	+	0.00849476i
$475$	11.7014	−	22.7995i	0.536897	−	1.04611i
$476$	−12.4746	+	14.3964i	−0.571772	+	0.659860i
$477$	8.24278	+	22.0997i	0.377411	+	1.01188i
$478$	16.4370	−	8.97527i	0.751810	−	0.410519i
$479$	4.10490	+	8.98848i	0.187558	+	0.410694i	0.979930	−	0.199344i	$-0.0638812\pi$
$479$	4.10490	+	8.98848i	0.187558	+	0.410694i	−0.792372	+	0.610039i	$0.791154\pi$
$480$	−6.43485	−	0.147313i	−0.293710	−	0.00672388i
$481$	−6.31382	+	9.82450i	−0.287886	+	0.447959i
$482$	−3.81599	+	3.81599i	−0.173814	+	0.173814i
$483$	2.25064	+	42.2394i	0.102407	+	1.92196i
$484$			9.84008i			0.447276i
$485$	0.680664	+	14.0201i	0.0309073	+	0.636622i
$486$	−1.54648	−	10.7560i	−0.0701496	−	0.487901i
$487$	0.291855	−	0.782495i	0.0132252	−	0.0354582i	−0.930169	−	0.367131i	$-0.880340\pi$
$487$	0.291855	−	0.782495i	0.0132252	−	0.0354582i	0.943395	+	0.331673i	$0.107613\pi$
$488$	−3.87285	−	7.09259i	−0.175316	−	0.321067i
$489$	19.8136	+	9.04859i	0.896004	+	0.409191i
$490$	5.31745	+	0.502867i	0.240218	+	0.0227172i
$491$	−1.54744	+	10.7627i	−0.0698351	+	0.485714i	0.924649	+	0.380822i	$0.124359\pi$
$491$	−1.54744	+	10.7627i	−0.0698351	+	0.485714i	−0.994484	+	0.104892i	$0.966550\pi$
$492$	27.2354	+	14.8717i	1.22787	+	0.670467i
$493$	2.98215	−	41.6959i	0.134309	−	1.87789i
$494$	−5.90446	+	3.79456i	−0.265654	+	0.170726i
$495$	−5.02163	−	11.6972i	−0.225705	−	0.525748i
$496$	2.38423	+	2.75155i	0.107055	+	0.123548i
$497$	4.09995	−	7.50850i	0.183908	−	0.336802i
$498$	−16.8830	+	12.6384i	−0.756544	+	0.566341i
$499$	25.4510	+	22.0535i	1.13935	+	0.987248i	0.999996	−	0.00299502i	$-0.000953345\pi$
$499$	25.4510	+	22.0535i	1.13935	+	0.987248i	0.139350	+	0.990243i	$0.455499\pi$
$500$	8.93198	−	6.72456i	0.399450	−	0.300732i
$501$	−2.79156	−	0.819675i	−0.124718	−	0.0366204i
$502$	11.1903	+	4.17376i	0.499446	+	0.186284i
$503$	−24.9221	+	33.2920i	−1.11122	+	1.48442i	−0.255623	+	0.966777i	$0.582280\pi$
$503$	−24.9221	+	33.2920i	−1.11122	+	1.48442i	−0.855598	+	0.517640i	$0.826810\pi$
$504$	13.6251	+	8.75632i	0.606910	+	0.390038i
$505$	−5.87588	+	35.1382i	−0.261473	+	1.56363i
$506$	0.827825	−	5.09833i	0.0368013	−	0.226648i
$507$	−22.6435	−	22.6435i	−1.00563	−	1.00563i
$508$	7.32749	−	1.59400i	0.325105	−	0.0707222i
$509$	16.6800	−	2.39822i	0.739327	−	0.106299i	0.237646	−	0.971352i	$-0.423624\pi$
$509$	16.6800	−	2.39822i	0.739327	−	0.106299i	0.501681	+	0.865053i	$0.332715\pi$
$510$	19.9762	−	34.6726i	0.884560	−	1.53533i
$511$	11.8346	−	40.3050i	0.523533	−	1.78299i
$512$	−0.936950	+	0.349464i	−0.0414077	+	0.0154443i
$513$	−33.6377	+	2.40581i	−1.48514	+	0.106219i
$514$	15.3975	+	2.21382i	0.679153	+	0.0976475i
$515$	4.89964	−	6.24209i	0.215904	−	0.275059i
$516$	6.85899	−	5.94335i	0.301950	−	0.261641i
$517$	0.343956	−	1.58114i	0.0151272	−	0.0695385i
$518$	−5.55457	+	25.5340i	−0.244054	+	1.12190i
$519$	−26.1171	+	22.6306i	−1.14641	+	0.993372i
$520$	−3.04006	+	0.366293i	−0.133315	+	0.0160630i
$521$	13.0213	+	1.87217i	0.570472	+	0.0820214i	0.421514	−	0.906822i	$-0.361499\pi$
$521$	13.0213	+	1.87217i	0.570472	+	0.0820214i	0.148958	+	0.988844i	$0.452408\pi$
$522$	−35.4510	+	2.53551i	−1.55165	+	0.110976i
$523$	31.6508	−	11.8051i	1.38399	−	0.516202i	0.456393	−	0.889779i	$-0.349141\pi$
$523$	31.6508	−	11.8051i	1.38399	−	0.516202i	0.927599	+	0.373576i	$0.121869\pi$
$524$	−3.07119	+	10.4595i	−0.134166	+	0.456926i
$525$	−43.8926	+	4.27195i	−1.91563	+	0.186443i
$526$	−11.7669	+	1.69183i	−0.513062	+	0.0737672i
$527$	−22.1175	+	4.81136i	−0.963452	+	0.209586i
$528$	−2.19214	−	2.19214i	−0.0954005	−	0.0954005i
$529$	7.27724	−	21.8184i	0.316402	−	0.948625i
$530$	−9.84137	−	1.64569i	−0.427482	−	0.0714842i
$531$	−28.7770	−	18.4938i	−1.24881	−	0.802564i
$532$	−9.41143	+	12.5722i	−0.408037	+	0.545074i
$533$	13.8317	+	5.15894i	0.599116	+	0.223459i
$534$	−30.2487	−	8.88181i	−1.30899	−	0.384353i
$535$	41.0917	−	7.95861i	1.77655	−	0.344081i
$536$	10.2882	+	8.91479i	0.444383	+	0.385060i
$537$	−27.5134	+	20.5963i	−1.18729	+	0.888794i
$538$	0.663613	−	1.21532i	0.0286104	−	0.0523960i
$539$	1.68467	+	1.94422i	0.0725640	+	0.0837433i
$540$	−13.6638	−	5.45571i	−0.587995	−	0.234777i
$541$	3.52453	−	2.26507i	0.151531	−	0.0973832i	−0.462678	−	0.886526i	$-0.653111\pi$
$541$	3.52453	−	2.26507i	0.151531	−	0.0973832i	0.614209	+	0.789143i	$0.289475\pi$
$542$	−1.04702	+	14.6392i	−0.0449733	+	0.628809i
$543$	47.9358	+	26.1749i	2.05712	+	1.12327i
$544$	0.884761	−	6.15365i	0.0379338	−	0.263835i
$545$	2.85615	+	3.45278i	0.122344	+	0.147901i
$546$	10.9866	+	5.01739i	0.470181	+	0.214725i
$547$	6.85763	+	12.5588i	0.293211	+	0.536976i	0.982210	−	0.187787i	$-0.0601313\pi$
$547$	6.85763	+	12.5588i	0.293211	+	0.536976i	−0.688999	+	0.724762i	$0.741950\pi$
$548$	−2.98756	+	8.00995i	−0.127622	+	0.342168i
$549$	−6.07899	−	42.2803i	−0.259445	−	1.80448i
$550$	5.34806	+	0.629558i	0.228042	+	0.0268444i
$551$		−	34.4629i		−	1.46817i
$552$	−8.07081	−	11.1998i	−0.343516	−	0.476696i
$553$	−0.494108	+	0.494108i	−0.0210116	+	0.0210116i
$554$	5.39057	−	8.38789i	0.229023	−	0.356368i
$555$	1.25631	−	54.8776i	0.0533274	−	2.32943i
$556$	2.17847	+	4.77019i	0.0923878	+	0.202301i
$557$	−28.0002	+	15.2893i	−1.18641	+	0.647827i	−0.946417	−	0.322948i	$-0.895326\pi$
$557$	−28.0002	+	15.2893i	−1.18641	+	0.647827i	−0.239990	+	0.970775i	$0.577144\pi$
$558$	6.72534	+	18.0313i	0.284706	+	0.763327i
$559$	2.82742	−	3.26302i	0.119587	−	0.138011i
$560$	−6.08700	+	3.14509i	−0.257223	+	0.132904i
$561$	18.4927	−	5.42994i	0.780762	−	0.229252i
$562$	−24.2420	−	1.73382i	−1.02259	−	0.0731370i
$563$	21.5825	+	4.69498i	0.909593	+	0.197870i	0.642934	−	0.765921i	$-0.277717\pi$
$563$	21.5825	+	4.69498i	0.909593	+	0.197870i	0.266659	+	0.963791i	$0.414080\pi$
$564$	−2.33815	−	3.63823i	−0.0984538	−	0.153197i
$565$	−31.2602	−	7.55351i	−1.31513	−	0.317778i
$566$	−4.08351	−	13.9071i	−0.171643	−	0.584561i
$567$	5.65994	+	7.56079i	0.237695	+	0.317524i
$568$	0.199179	+	2.78489i	0.00835738	+	0.116851i
$569$	5.79131	−	12.6812i	0.242785	−	0.531624i	−0.748536	−	0.663095i	$-0.769243\pi$
$569$	5.79131	−	12.6812i	0.242785	−	0.531624i	0.991320	+	0.131471i	$0.0419699\pi$
$570$	14.3876	−	29.6870i	0.602632	−	1.24345i
$571$	−12.6559	+	5.77973i	−0.529631	+	0.241874i	−0.662237	−	0.749294i	$-0.730393\pi$
$571$	−12.6559	+	5.77973i	−0.529631	+	0.241874i	0.132606	+	0.991169i	$0.457666\pi$
$572$	−1.18066	−	0.883832i	−0.0493660	−	0.0369549i
$573$	4.40478	+	20.2485i	0.184012	+	0.845892i
$574$	33.0318			1.37872
$575$	23.0576	+	6.58401i	0.961567	+	0.274572i
$576$	−5.28581			−0.220242
$577$	1.69212	+	7.77856i	0.0704440	+	0.323826i	0.998861	−	0.0477140i	$-0.0151936\pi$
$577$	1.69212	+	7.77856i	0.0704440	+	0.323826i	−0.928417	+	0.371540i	$0.878830\pi$
$578$	17.3319	+	12.9745i	0.720910	+	0.539667i
$579$	9.05568	−	4.13559i	0.376341	−	0.171869i
$580$	6.55724	−	13.5300i	0.272275	−	0.561803i
$581$	−9.32569	+	20.4204i	−0.386895	+	0.847182i
$582$	1.28906	+	18.0235i	0.0534334	+	0.747097i
$583$	−2.88007	−	3.84732i	−0.119280	−	0.159340i
$584$	3.86236	+	13.1540i	0.159826	+	0.544316i
$585$	−15.7326	−	3.80152i	−0.650464	−	0.157174i
$586$	4.42917	+	6.89192i	0.182967	+	0.284703i
$587$	17.3193	+	3.76757i	0.714842	+	0.155504i	0.555256	−	0.831680i	$-0.312620\pi$
$587$	17.3193	+	3.76757i	0.714842	+	0.155504i	0.159586	+	0.987184i	$0.448984\pi$
$588$	6.85822	+	0.490509i	0.282828	+	0.0202283i
$589$	−17.9047	+	5.25730i	−0.737752	+	0.216623i
$590$	12.8561	−	6.64261i	0.529277	−	0.273472i
$591$	47.2176	−	54.4921i	1.94227	−	2.24150i
$592$	−2.98030	−	7.99048i	−0.122489	−	0.328407i
$593$	−18.5221	+	10.1138i	−0.760610	+	0.415324i	−0.812226	−	0.583343i	$-0.801744\pi$
$593$	−18.5221	+	10.1138i	−0.760610	+	0.415324i	0.0516165	+	0.998667i	$0.483563\pi$
$594$	−2.94377	−	6.44597i	−0.120785	−	0.264481i
$595$	0.974878	−	42.5842i	0.0399661	−	1.74578i
$596$	2.05804	−	3.20237i	0.0843005	−	0.131174i
$597$	38.1857	−	38.1857i	1.56284	−	1.56284i
$598$	−4.55870	−	4.72742i	−0.186419	−	0.193319i
$599$			29.6876i			1.21300i	0.795083	+	0.606501i	$0.207427\pi$
$599$			29.6876i			1.21300i	−0.795083	+	0.606501i	$0.792573\pi$
$600$	11.2971	−	8.91748i	0.461201	−	0.364054i
$601$	2.79593	+	19.4461i	0.114049	+	0.793225i	0.963912	+	0.266222i	$0.0857753\pi$
$601$	2.79593	+	19.4461i	0.114049	+	0.793225i	−0.849863	+	0.527003i	$0.823316\pi$
$602$	3.37613	−	9.05175i	0.137601	−	0.368922i
$603$	34.4854	+	63.1552i	1.40435	+	2.57188i
$604$	−14.1642	−	6.46856i	−0.576332	−	0.263202i
$605$	−14.0246	−	16.9542i	−0.570181	−	0.689288i
$606$	−6.52682	+	45.3950i	−0.265134	+	1.84405i
$607$	−39.2197	−	21.4156i	−1.59188	−	0.869232i	−0.997902	−	0.0647498i	$-0.979375\pi$
$607$	−39.2197	−	21.4156i	−1.59188	−	0.869232i	−0.593977	−	0.804482i	$-0.702443\pi$
$608$	0.365641	−	5.11232i	0.0148287	−	0.207332i
$609$	−49.8909	+	32.0629i	−2.02168	+	1.29926i
$610$	16.7816	+	6.70060i	0.679466	+	0.271299i
$611$	−1.34732	−	1.55489i	−0.0545068	−	0.0629043i
$612$	15.7488	−	28.8418i	0.636609	−	1.16586i
$613$	−8.19520	+	6.13485i	−0.331001	+	0.247784i	−0.751832	−	0.659355i	$-0.770830\pi$
$613$	−8.19520	+	6.13485i	−0.331001	+	0.247784i	0.420831	+	0.907139i	$0.361739\pi$
$614$	−10.4564	−	9.06056i	−0.421988	−	0.365655i
$615$	−68.1220	+	13.1938i	−2.74694	+	0.532026i
$616$	−3.16634	−	0.929723i	−0.127576	−	0.0374596i
$617$	19.1655	+	7.14837i	0.771575	+	0.287783i	0.704253	−	0.709949i	$-0.251282\pi$
$617$	19.1655	+	7.14837i	0.771575	+	0.287783i	0.0673217	+	0.997731i	$0.478555\pi$
$618$	6.12178	−	8.17775i	0.246254	−	0.328957i
$619$	−18.5156	−	11.8993i	−0.744205	−	0.478272i	0.112775	−	0.993621i	$-0.464026\pi$
$619$	−18.5156	−	11.8993i	−0.744205	−	0.478272i	−0.856981	+	0.515349i	$0.827662\pi$
$620$	−8.02964	−	1.34273i	−0.322478	−	0.0539253i
$621$	−8.33865	−	30.4335i	−0.334618	−	1.22126i
$622$	12.8787	+	12.8787i	0.516390	+	0.516390i
$623$	−32.7913	+	7.13330i	−1.31375	+	0.285790i
$624$	−3.90168	+	0.560976i	−0.156192	+	0.0224570i
$625$	−5.80540	+	24.3166i	−0.232216	+	0.972664i
$626$	−4.87893	+	16.6161i	−0.195001	+	0.664113i
$627$	14.8876	−	5.55279i	0.594554	−	0.221757i
$628$	−11.2756	+	0.806450i	−0.449947	+	0.0321809i
$629$	52.4795	+	7.54541i	2.09249	+	0.300855i
$630$	−35.9557	+	4.33226i	−1.43251	+	0.172601i
$631$	6.69141	−	5.79814i	0.266381	−	0.230820i	−0.511420	−	0.859331i	$-0.670880\pi$
$631$	6.69141	−	5.79814i	0.266381	−	0.230820i	0.777801	+	0.628510i	$0.216335\pi$
$632$	0.0484762	−	0.222841i	0.00192828	−	0.00886415i
$633$	8.95364	−	41.1592i	0.355875	−	1.63593i
$634$	24.2652	−	21.0259i	0.963695	−	0.835047i
$635$	−10.3533	+	13.1900i	−0.410857	+	0.523427i
$636$	−12.7140	−	1.82800i	−0.504145	−	0.0724851i
$637$	3.26265	−	0.233349i	0.129271	−	0.00924564i
$638$	6.78511	−	2.53071i	0.268625	−	0.100192i
$639$	−4.15781	+	14.1602i	−0.164480	+	0.560169i
$640$	1.11627	−	1.93751i	0.0441244	−	0.0765868i
$641$	29.6107	−	4.25737i	1.16955	−	0.168156i	0.469952	−	0.882692i	$-0.344271\pi$
$641$	29.6107	−	4.25737i	1.16955	−	0.168156i	0.699599	+	0.714536i	$0.253362\pi$
$642$	52.6494	−	11.4532i	2.07790	−	0.452020i
$643$	8.28887	+	8.28887i	0.326881	+	0.326881i	0.851399	−	0.524518i	$-0.175755\pi$
$643$	8.28887	+	8.28887i	0.326881	+	0.326881i	−0.524518	+	0.851399i	$0.675755\pi$
$644$	−13.2538	−	6.34628i	−0.522273	−	0.250079i
$645$	−3.34712	+	20.0161i	−0.131793	+	0.788132i
$646$	26.8058	+	17.2270i	1.05466	+	0.677789i
$647$	−9.84857	+	13.1561i	−0.387187	+	0.517222i	−0.951213	−	0.308536i	$-0.900161\pi$
$647$	−9.84857	+	13.1561i	−0.387187	+	0.517222i	0.564026	+	0.825757i	$0.309252\pi$
$648$	−2.88801	−	1.07717i	−0.113452	−	0.0423153i
$649$	6.68750	+	1.96363i	0.262507	+	0.0770791i
$650$	4.71590	−	4.96397i	0.184973	−	0.194703i
$651$	24.2687	+	21.0290i	0.951166	+	0.824190i
$652$	−6.05780	+	4.53481i	−0.237242	+	0.177597i
$653$	21.3348	−	39.0717i	0.834894	−	1.52899i	−0.0136734	−	0.999907i	$-0.504353\pi$
$653$	21.3348	−	39.0717i	0.834894	−	1.52899i	0.848567	−	0.529087i	$-0.177466\pi$
$654$	3.77750	+	4.35947i	0.147712	+	0.170469i
$655$	−9.61586	−	22.3988i	−0.375723	−	0.875192i
$656$	−9.06897	+	5.82828i	−0.354084	+	0.227556i
$657$	−5.16958	+	72.2802i	−0.201685	+	2.81992i
$658$	−4.04048	−	2.20627i	−0.157514	−	0.0860093i
$659$	−5.81469	+	40.4420i	−0.226508	+	1.57540i	0.486143	+	0.873879i	$0.338404\pi$
$659$	−5.81469	+	40.4420i	−0.226508	+	1.57540i	−0.712651	+	0.701519i	$0.752506\pi$
$660$	6.90135	+	0.652655i	0.268635	+	0.0254046i
$661$	8.42094	+	3.84572i	0.327537	+	0.149581i	0.572395	−	0.819978i	$-0.306014\pi$
$661$	8.42094	+	3.84572i	0.327537	+	0.149581i	−0.244859	+	0.969559i	$0.578742\pi$
$662$	4.08811	+	7.48682i	0.158889	+	0.290983i
$663$	8.56392	−	22.9608i	0.332595	−	0.891722i
$664$	−1.04267	−	7.25194i	−0.0404635	−	0.281430i
$665$	−1.70287	−	35.0753i	−0.0660345	−	1.36016i
$666$		−	45.0784i		−	1.74675i
$667$	31.6294	−	6.28104i	1.22469	−	0.243203i
$668$	0.714698	−	0.714698i	0.0276525	−	0.0276525i
$669$	−12.1492	+	18.9045i	−0.469714	+	0.730889i
$670$	−30.4322	−	0.696683i	−1.17570	−	0.0269152i
$671$	3.61548	+	7.91681i	0.139574	+	0.305625i
$672$	−7.74113	+	4.22698i	−0.298621	+	0.163059i
$673$	12.4034	+	33.2549i	0.478117	+	1.28188i	0.922483	+	0.386037i	$0.126156\pi$
$673$	12.4034	+	33.2549i	0.478117	+	1.28188i	−0.444366	+	0.895845i	$0.646571\pi$
$674$	−19.3986	+	22.3872i	−0.747206	+	0.862321i
$675$	31.3182	−	10.0743i	1.20544	−	0.387758i
$676$	10.6741	−	3.13421i	0.410544	−	0.120547i
$677$	12.9502	+	0.926220i	0.497718	+	0.0355975i	0.317942	−	0.948110i	$-0.397008\pi$
$677$	12.9502	+	0.926220i	0.497718	+	0.0355975i	0.179776	+	0.983708i	$0.442463\pi$
$678$	−40.4536	−	8.80013i	−1.55361	−	0.337967i
$679$	10.3989	+	16.1811i	0.399075	+	0.620972i
$680$	7.24608	+	11.8636i	0.277874	+	0.454949i
$681$	−2.41745	−	8.23307i	−0.0926368	−	0.315492i
$682$	−2.34986	−	3.13905i	−0.0899810	−	0.120201i
$683$	−1.69121	−	23.6463i	−0.0647125	−	0.904799i	−0.921314	−	0.388820i	$-0.872883\pi$
$683$	−1.69121	−	23.6463i	−0.0647125	−	0.904799i	0.856601	−	0.515979i	$-0.172572\pi$
$684$	11.2543	−	24.6436i	0.430320	−	0.942270i
$685$	−6.26871	−	18.0590i	−0.239515	−	0.689999i
$686$	−12.8527	+	5.86965i	−0.490720	+	0.224104i
$687$	20.0958	+	15.0435i	0.766701	+	0.573945i
$688$	0.670204	+	3.08088i	0.0255513	+	0.117457i
$689$	−6.11063			−0.232797
$690$	29.8684	+	7.79409i	1.13707	+	0.296716i
$691$	24.1248			0.917750			0.458875	−	0.888501i	$-0.348253\pi$
$691$	24.1248			0.917750			0.458875	+	0.888501i	$0.348253\pi$
$692$	−2.55195	−	11.7311i	−0.0970105	−	0.445950i
$693$	−13.9641	−	10.4534i	−0.530451	−	0.397090i
$694$	−7.55354	+	3.44959i	−0.286728	+	0.130944i
$695$	−10.5522	−	5.11406i	−0.400267	−	0.193987i
$696$	8.04035	−	17.6059i	0.304769	−	0.667350i
$697$	−4.78118	−	66.8496i	−0.181100	−	2.53211i
$698$	−5.48507	−	7.32720i	−0.207613	−	0.277339i
$699$	2.18253	+	7.43302i	0.0825510	+	0.281143i
$700$	6.00523	−	14.0944i	0.226976	−	0.532720i
$701$	−5.85348	−	9.10819i	−0.221083	−	0.344011i	0.712940	−	0.701225i	$-0.247363\pi$
$701$	−5.85348	−	9.10819i	−0.221083	−	0.344011i	−0.934023	+	0.357214i	$0.883727\pi$
$702$	−8.80429	−	1.91526i	−0.332296	−	0.0722867i
$703$	43.5989	+	3.11825i	1.64436	+	0.117607i
$704$	1.03337	−	0.303425i	0.0389467	−	0.0114358i
$705$	9.21398	+	2.93614i	0.347018	+	0.110581i
$706$	−5.70680	+	6.58599i	−0.214778	+	0.247867i
$707$	17.0603	+	45.7406i	0.641620	+	1.72025i
$708$	16.3497	−	8.92762i	0.614460	−	0.335520i
$709$	3.31934	+	7.26835i	0.124661	+	0.272968i	0.961665	−	0.274228i	$-0.0884223\pi$
$709$	3.31934	+	7.26835i	0.124661	+	0.272968i	−0.837004	+	0.547197i	$0.815695\pi$
$710$	−4.31235	−	4.51442i	−0.161840	−	0.169423i
$711$	0.651713	−	1.01408i	0.0244411	−	0.0380311i
$712$	7.74430	−	7.74430i	0.290230	−	0.290230i
$713$	−8.08829	−	15.4745i	−0.302909	−	0.579523i
$714$		−	54.8333i		−	2.05209i
$715$	3.29394	−	0.159917i	0.123186	−	0.00598057i
$716$	−1.69919	−	11.8182i	−0.0635019	−	0.441665i
$717$	−18.8389	+	50.5092i	−0.703553	+	1.88630i
$718$	−2.63583	−	4.82716i	−0.0983683	−	0.180148i
$719$	−36.2841	−	16.5704i	−1.35317	−	0.617972i	−0.398921	−	0.916985i	$-0.630615\pi$
$719$	−36.2841	−	16.5704i	−1.35317	−	0.617972i	−0.954249	+	0.299014i	$0.903342\pi$
$720$	9.10734	−	7.53361i	0.339410	−	0.280761i
$721$	1.54751	−	10.7632i	0.0576324	−	0.400842i
$722$	6.38032	+	3.48392i	0.237451	+	0.129658i
$723$	1.10820	−	15.4946i	0.0412144	−	0.576252i
$724$	−15.9619	+	10.2581i	−0.593218	+	0.381238i
$725$	7.98569	+	32.6576i	0.296581	+	1.21287i
$726$	−18.5488	−	21.4064i	−0.688409	−	0.794466i
$727$	−4.44338	+	8.13743i	−0.164796	+	0.301801i	−0.947007	−	0.321212i	$-0.895910\pi$
$727$	−4.44338	+	8.13743i	−0.164796	+	0.301801i	0.782212	+	0.623013i	$0.214092\pi$
$728$	−3.35902	+	2.51453i	−0.124493	+	0.0931946i
$729$	30.6280	+	26.5393i	1.13437	+	0.982937i
$730$	−25.4025	−	17.1592i	−0.940190	−	0.635091i
$731$	−18.8076	−	5.52240i	−0.695623	−	0.204253i
$732$	21.7948	+	8.12905i	0.805560	+	0.300458i
$733$	−11.9620	+	15.9794i	−0.441828	+	0.590213i	−0.965077	−	0.261967i	$-0.915629\pi$
$733$	−11.9620	+	15.9794i	−0.441828	+	0.590213i	0.523249	+	0.852180i	$0.324720\pi$
$734$	11.3613	+	7.30146i	0.419353	+	0.269502i
$735$	−12.5157	+	8.92955i	−0.461647	+	0.329372i
$736$	4.75863	−	0.596170i	0.175406	−	0.0219751i
$737$	−10.3672	−	10.3672i	−0.381881	−	0.381881i
$738$	−55.6804	+	12.1125i	−2.04963	+	0.445869i
$739$	−4.42741	+	0.636565i	−0.162865	+	0.0234164i	−0.223265	−	0.974758i	$-0.571671\pi$
$739$	−4.42741	+	0.636565i	−0.162865	+	0.0234164i	0.0604000	+	0.998174i	$0.480762\pi$
$740$	16.5234	+	9.51975i	0.607414	+	0.349953i
$741$	5.69191	−	19.3848i	0.209097	−	0.712120i
$742$	−12.8108	+	4.77819i	−0.470300	+	0.175413i
$743$	32.8618	−	2.35032i	1.20558	−	0.0862249i	0.545952	−	0.837816i	$-0.316168\pi$
$743$	32.8618	−	2.35032i	1.20558	−	0.0862249i	0.659629	+	0.751591i	$0.270713\pi$
$744$	−10.3735	−	1.49148i	−0.380310	−	0.0546803i
$745$	1.01823	+	8.45083i	0.0373051	+	0.309615i
$746$	−21.6276	+	18.7404i	−0.791842	+	0.686135i
$747$	8.23192	−	37.8415i	0.301190	−	1.38455i
$748$	−1.42326	+	6.54260i	−0.0520394	+	0.239221i
$749$	43.3456	−	37.5592i	1.58381	−	1.37238i
$750$	−6.75496	+	31.4658i	−0.246656	+	1.14897i
$751$	−8.85109	−	1.27259i	−0.322981	−	0.0464377i	−0.0210825	−	0.999778i	$-0.506711\pi$
$751$	−8.85109	−	1.27259i	−0.322981	−	0.0464377i	−0.301898	+	0.953340i	$0.597620\pi$
$752$	1.49861	−	0.107183i	0.0546486	−	0.00390854i
$753$	−32.2113	+	12.0142i	−1.17384	+	0.437821i
$754$	2.59412	−	8.83475i	0.0944721	−	0.321743i
$755$	33.6239	−	9.04233i	1.22370	−	0.329084i
$756$	−19.9556	+	2.86919i	−0.725780	+	0.104351i
$757$	14.1650	−	3.08141i	0.514837	−	0.111996i	0.0523617	−	0.998628i	$-0.483325\pi$
$757$	14.1650	−	3.08141i	0.514837	−	0.111996i	0.462475	+	0.886632i	$0.346961\pi$
$758$	10.2086	+	10.2086i	0.370792	+	0.370792i
$759$	7.80959	+	12.6515i	0.283470	+	0.459222i
$760$	6.65636	+	9.32955i	0.241452	+	0.338418i
$761$	−37.0139	−	23.7874i	−1.34175	−	0.862291i	−0.344676	−	0.938722i	$-0.612011\pi$
$761$	−37.0139	−	23.7874i	−1.34175	−	0.862291i	−0.997075	+	0.0764305i	$0.975648\pi$
$762$	−12.9357	+	17.2801i	−0.468612	+	0.625993i
$763$	5.75316	+	2.14582i	0.208278	+	0.0776838i
$764$	−6.90727	−	2.02816i	−0.249896	−	0.0733762i
$765$	13.9720	+	72.1399i	0.505159	+	2.60822i
$766$	−7.13617	−	6.18352i	−0.257840	−	0.223420i
$767$	7.09443	−	5.31082i	0.256165	−	0.191763i
$768$	1.37952	−	2.52641i	0.0497792	−	0.0911638i
$769$	19.0076	+	21.9359i	0.685431	+	0.791029i	0.986707	−	0.162508i	$-0.0519582\pi$
$769$	19.0076	+	21.9359i	0.685431	+	0.791029i	−0.301277	+	0.953537i	$0.597413\pi$
$770$	6.78063	−	2.91095i	0.244357	−	0.104903i
$771$	−37.6692	+	24.2085i	−1.35662	+	0.871850i
$772$	−0.246726	+	3.44969i	−0.00887988	+	0.124157i
$773$	8.76323	+	4.78509i	0.315192	+	0.172108i	0.629056	−	0.777360i	$-0.283442\pi$
$773$	8.76323	+	4.78509i	0.315192	+	0.172108i	−0.313864	+	0.949468i	$0.601624\pi$
$774$	−2.37179	+	16.4962i	−0.0852523	+	0.592943i
$775$	15.7486	−	9.13077i	0.565707	−	0.327987i
$776$	−5.71011	−	2.60772i	−0.204981	−	0.0936117i
$777$	−36.0485	−	66.0179i	−1.29323	−	2.36838i
$778$	3.47528	−	9.31760i	0.124595	−	0.334052i
$779$	−7.86335	−	54.6908i	−0.281734	−	1.95950i
$780$	5.92297	−	6.52743i	0.212076	−	0.233719i
$781$		−	3.00698i		−	0.107598i
$782$	−10.9252	+	27.7416i	−0.390683	+	0.992037i
$783$	31.2837	−	31.2837i	1.11799	−	1.11799i
$784$	−1.29140	+	2.00946i	−0.0461214	+	0.0717663i
$785$	18.2783	−	17.4601i	0.652381	−	0.623179i
$786$	−13.0353	−	28.5432i	−0.464952	−	1.01810i
$787$	12.9345	−	7.06278i	0.461066	−	0.251761i	−0.231889	−	0.972742i	$-0.574490\pi$
$787$	12.9345	−	7.06278i	0.461066	−	0.251761i	0.692955	+	0.720981i	$0.256309\pi$
$788$	8.75368	+	23.4695i	0.311837	+	0.836067i
$789$	22.4090	−	25.8614i	0.797782	−	0.920689i
$790$	0.234082	+	0.453041i	0.00832826	+	0.0161185i
$791$	−42.2837	+	12.4156i	−1.50343	+	0.441448i
$792$	5.67830	+	0.406120i	0.201770	+	0.0144309i
$793$	10.8132	+	2.35228i	0.383990	+	0.0835318i
$794$	1.11711	+	1.73826i	0.0396447	+	0.0616884i
$795$	24.5114	−	14.9711i	0.869329	−	0.530971i
$796$	5.28549	+	18.0007i	0.187339	+	0.638018i
$797$	−1.38615	−	1.85169i	−0.0491001	−	0.0655901i	0.775319	−	0.631570i	$-0.217589\pi$
$797$	−1.38615	−	1.85169i	−0.0491001	−	0.0655901i	−0.824419	+	0.565980i	$0.808498\pi$
$798$	−3.22495	−	45.0907i	−0.114162	−	1.59619i
$799$	−3.88020	+	8.49644i	−0.137271	+	0.300583i
$800$	0.838132	+	4.92925i	0.0296325	+	0.174275i
$801$	52.6592	−	24.0486i	1.86062	−	0.849717i
$802$	13.0295	+	9.75378i	0.460089	+	0.344418i
$803$	−3.13851	−	14.4275i	−0.110756	−	0.509135i
$804$	−39.1859			−1.38198
$805$	31.8811	−	7.95552i	1.12366	−	0.280395i
$806$	−4.98571			−0.175614
$807$	0.847254	+	3.89476i	0.0298247	+	0.137102i
$808$	−12.7546	−	9.54799i	−0.448706	−	0.335897i
$809$	−37.5258	+	17.1375i	−1.31934	+	0.602521i	−0.945696	−	0.325053i	$-0.894618\pi$
$809$	−37.5258	+	17.1375i	−1.31934	+	0.602521i	−0.373640	+	0.927574i	$0.621891\pi$
$810$	6.51122	−	2.26020i	0.228781	−	0.0794153i
$811$	−12.5834	+	27.5539i	−0.441864	+	0.967547i	0.549389	+	0.835567i	$0.314861\pi$
$811$	−12.5834	+	27.5539i	−0.441864	+	0.967547i	−0.991252	+	0.131980i	$0.957867\pi$
$812$	−1.46979	−	20.5503i	−0.0515795	−	0.721175i
$813$	−25.3176	−	33.8203i	−0.887926	−	1.18613i
$814$	2.58767	+	8.81279i	0.0906977	+	0.308888i
$815$	3.97420	−	16.4473i	0.139210	−	0.576123i
$816$	9.67502	+	15.0546i	0.338694	+	0.527017i
$817$	−15.7907	−	3.43505i	−0.552446	−	0.120177i
$818$	35.8804	+	2.56622i	1.25453	+	0.0897256i
$819$	−21.2805	+	6.24852i	−0.743601	+	0.218341i
$820$	7.31888	−	22.9676i	0.255586	−	0.802062i
$821$	−9.85547	+	11.3738i	−0.343958	+	0.396949i	−0.901202	−	0.433400i	$-0.857314\pi$
$821$	−9.85547	+	11.3738i	−0.343958	+	0.396949i	0.557243	+	0.830349i	$0.311859\pi$
$822$	−8.59971	−	23.0567i	−0.299949	−	0.804195i
$823$	−35.1295	+	19.1821i	−1.22454	+	0.668647i	−0.955644	−	0.294523i	$-0.904839\pi$
$823$	−35.1295	+	19.1821i	−1.22454	+	0.668647i	−0.268892	+	0.963170i	$0.586657\pi$
$824$	1.47423	+	3.22811i	0.0513572	+	0.112457i
$825$	−12.8211	+	8.71166i	−0.446373	+	0.303301i
$826$	10.7206	−	16.6815i	0.373016	−	0.580424i
$827$	9.01789	−	9.01789i	0.313583	−	0.313583i	−0.532713	−	0.846296i	$-0.678828\pi$
$827$	9.01789	−	9.01789i	0.313583	−	0.313583i	0.846296	+	0.532713i	$0.178828\pi$
$828$	24.6686	+	5.83760i	0.857291	+	0.202871i
$829$			51.0735i			1.77386i	0.461909	+	0.886928i	$0.347165\pi$
$829$			51.0735i			1.77386i	−0.461909	+	0.886928i	$0.652835\pi$
$830$	12.1324	+	11.0089i	0.421120	+	0.382123i
$831$	4.08455	+	28.4086i	0.141691	+	0.985485i
$832$	0.478552	−	1.28305i	0.0165908	−	0.0444817i
$833$	−7.11686	−	13.0336i	−0.246585	−	0.451586i
$834$	−13.7310	−	6.27075i	−0.475467	−	0.217138i
$835$	−0.212784	+	2.25003i	−0.00736369	+	0.0778656i
$836$	−0.785582	+	5.46384i	−0.0271699	+	0.188971i
$837$	−21.0253	−	11.4807i	−0.726742	−	0.396831i
$838$	0.811899	−	11.3518i	0.0280466	−	0.392142i
$839$	13.4874	−	8.66782i	0.465637	−	0.299246i	−0.286706	−	0.958019i	$-0.592560\pi$
$839$	13.4874	−	8.66782i	0.465637	−	0.299246i	0.752342	+	0.658772i	$0.228924\pi$
$840$	7.31329	−	18.3161i	0.252333	−	0.631964i
$841$	10.6164	+	12.2520i	0.366083	+	0.422482i
$842$	−5.38526	+	9.86237i	−0.185588	+	0.339880i
$843$	56.0052	−	41.9249i	1.92892	−	1.44397i
$844$	11.0590	+	9.58272i	0.380668	+	0.329851i
$845$	−13.9243	+	20.6135i	−0.479010	+	0.709127i
$846$	7.61990	+	2.23740i	0.261977	+	0.0769235i
$847$	−28.2499	−	10.5366i	−0.970676	−	0.362044i
$848$	2.67416	−	3.57226i	0.0918311	−	0.122672i
$849$	35.0987	+	22.5565i	1.20458	+	0.774138i
$850$	−29.3935	−	10.1132i	−1.00819	−	0.346882i
$851$	5.08425	+	40.5825i	0.174286	+	1.39115i
$852$	−5.68288	−	5.68288i	−0.194692	−	0.194692i
$853$	7.25289	−	1.57777i	0.248334	−	0.0540218i	−0.0866750	−	0.996237i	$-0.527624\pi$
$853$	7.25289	−	1.57777i	0.248334	−	0.0540218i	0.335009	+	0.942215i	$0.391261\pi$
$854$	24.5091	−	3.52388i	0.838685	−	0.120585i
$855$	15.7323	+	58.5006i	0.538034	+	2.00068i
$856$	−5.27355	+	17.9601i	−0.180246	+	0.613862i
$857$	26.8841	−	10.0272i	0.918342	−	0.342524i	0.154549	−	0.987985i	$-0.450608\pi$
$857$	26.8841	−	10.0272i	0.918342	−	0.342524i	0.763793	+	0.645461i	$0.223335\pi$
$858$	4.23449	−	0.302857i	0.144563	−	0.0103394i
$859$	5.50786	+	0.791911i	0.187926	+	0.0270197i	0.235635	−	0.971842i	$-0.424283\pi$
$859$	5.50786	+	0.791911i	0.187926	+	0.0270197i	−0.0477092	+	0.998861i	$0.515192\pi$
$860$	−5.54578	−	4.35308i	−0.189110	−	0.148439i
$861$	−71.8585	+	62.2657i	−2.44893	+	2.12201i
$862$	−2.79313	+	12.8398i	−0.0951345	+	0.437326i
$863$	11.4427	−	52.6012i	0.389513	−	1.79056i	−0.196761	−	0.980452i	$-0.563042\pi$
$863$	11.4427	−	52.6012i	0.389513	−	1.79056i	0.586274	−	0.810113i	$-0.300594\pi$
$864$	4.97262	−	4.30880i	0.169172	−	0.146588i
$865$	21.1167	+	16.5753i	0.717991	+	0.563576i
$866$	10.4757	+	1.50618i	0.355980	+	0.0511822i
$867$	−62.1614	+	4.44587i	−2.11111	+	0.150990i
$868$	−10.4524	+	3.89856i	−0.354779	+	0.132326i
$869$	−0.0691971	+	0.235664i	−0.00234735	+	0.00799434i
$870$	11.2395	+	41.7941i	0.381056	+	1.41695i
$871$	−18.4521	+	2.65301i	−0.625226	+	0.0898939i
$872$	−1.95816	+	0.425972i	−0.0663117	+	0.0144252i
$873$	−23.4626	−	23.4626i	−0.794087	−	0.794087i
$874$	−7.35242	+	23.4551i	−0.248699	+	0.793380i
$875$	9.74127	+	32.8434i	0.329315	+	1.11031i
$876$	−33.1979	−	21.3350i	−1.12165	−	0.720842i
$877$	3.93117	−	5.25143i	0.132746	−	0.177328i	−0.729243	−	0.684255i	$-0.760128\pi$
$877$	3.93117	−	5.25143i	0.132746	−	0.177328i	0.861989	+	0.506927i	$0.169219\pi$
$878$	16.9660	+	6.32798i	0.572574	+	0.213559i
$879$	−22.6268	−	6.64382i	−0.763182	−	0.224091i
$880$	−1.34802	+	1.99561i	−0.0454417	+	0.0672721i
$881$	−8.69678	−	7.53580i	−0.293002	−	0.253888i	0.495938	−	0.868358i	$-0.334824\pi$
$881$	−8.69678	−	7.53580i	−0.293002	−	0.253888i	−0.788940	+	0.614470i	$0.789370\pi$
$882$	−10.1076	+	7.56643i	−0.340340	+	0.254775i
$883$	−24.3871	+	44.6617i	−0.820691	+	1.50298i	0.0430636	+	0.999072i	$0.486288\pi$
$883$	−24.3871	+	44.6617i	−0.820691	+	1.50298i	−0.863755	+	0.503912i	$0.831894\pi$
$884$	5.57509	+	6.43399i	0.187510	+	0.216399i
$885$	−15.4461	+	38.6846i	−0.519214	+	1.30037i
$886$	−26.7136	+	17.1678i	−0.897461	+	0.576763i
$887$	0.998188	−	13.9565i	0.0335159	−	0.468613i	−0.952784	−	0.303650i	$-0.901795\pi$
$887$	0.998188	−	13.9565i	0.0335159	−	0.468613i	0.986300	−	0.164964i	$-0.0527507\pi$
$888$	21.5457	+	11.7648i	0.723025	+	0.394802i
$889$	−3.27000	+	22.7433i	−0.109672	+	0.762786i
$890$	−2.30568	+	24.3808i	−0.0772864	+	0.817247i
$891$	3.01969	+	1.37905i	0.101164	+	0.0461998i
$892$	−3.74138	−	6.85182i	−0.125271	−	0.229416i
$893$	−2.69107	+	7.21503i	−0.0900532	+	0.241442i
$894$	1.55942	+	10.8460i	0.0521547	+	0.362744i
$895$	19.7715	+	17.9406i	0.660889	+	0.599690i
$896$		−	3.06409i		−	0.102364i
$897$	18.8284	+	1.69093i	0.628663	+	0.0564585i
$898$	−24.1413	+	24.1413i	−0.805605	+	0.805605i
$899$	13.2353	−	20.5945i	0.441422	−	0.686866i
$900$	−4.95444	+	25.9605i	−0.165148	+	0.865350i
$901$	11.5244	+	25.2349i	0.383933	+	0.840695i
$902$	10.1902	−	5.56426i	0.339296	−	0.185270i
$903$	9.71822	+	26.0555i	0.323402	+	0.867074i
$904$	9.41843	−	10.8694i	0.313252	−	0.361512i
$905$	12.8816	−	40.4241i	0.428199	−	1.34374i
$906$	43.0066	−	12.6279i	1.42880	−	0.419533i
$907$	−7.56992	−	0.541411i	−0.251355	−	0.0179773i	−0.0549069	−	0.998491i	$-0.517486\pi$
$907$	−7.56992	−	0.541411i	−0.251355	−	0.0179773i	−0.196448	+	0.980514i	$0.562941\pi$
$908$	2.91281	+	0.633643i	0.0966650	+	0.0210282i
$909$	−45.5307	−	70.8471i	−1.51016	−	2.34985i
$910$	2.20367	−	9.11992i	0.0730511	−	0.302323i
$911$	−1.32102	−	4.49899i	−0.0437675	−	0.149058i	0.934710	−	0.355411i	$-0.115659\pi$
$911$	−1.32102	−	4.49899i	−0.0437675	−	0.149058i	−0.978478	+	0.206352i	$0.933841\pi$
$912$	8.84142	+	11.8107i	0.292769	+	0.391093i
$913$	0.562912	+	7.87054i	0.0186297	+	0.260477i
$914$	−1.39644	+	3.05778i	−0.0461902	+	0.101143i
$915$	−49.1379	+	17.0569i	−1.62445	+	0.563885i
$916$	−7.93267	+	3.62273i	−0.262103	+	0.119698i
$917$	−26.7396	−	20.0170i	−0.883020	−	0.661021i
$918$	8.69512	+	39.9708i	0.286982	+	1.31923i
$919$	−20.3238			−0.670419			−0.335209	−	0.942144i	$-0.608807\pi$
$919$	−20.3238			−0.670419			−0.335209	+	0.942144i	$0.608807\pi$
$920$	−7.34933	+	7.80944i	−0.242300	+	0.257470i
$921$	39.8267			1.31233
$922$	−1.34495	−	6.18264i	−0.0442936	−	0.203614i
$923$	−3.06074	−	2.29124i	−0.100746	−	0.0754172i
$924$	8.64071	−	3.94608i	0.284259	−	0.129817i
$925$	−42.0376	+	7.14775i	−1.38219	+	0.235017i
$926$	−3.83117	+	8.38910i	−0.125900	+	0.275683i
$927$	1.33820	+	18.7105i	0.0439524	+	0.614534i
$928$	4.02952	+	5.38281i	0.132276	+	0.176699i
$929$	−1.13089	−	3.85146i	−0.0371033	−	0.126362i	0.938859	−	0.344302i	$-0.111884\pi$
$929$	−1.13089	−	3.85146i	−0.0371033	−	0.126362i	−0.975962	+	0.217940i	$0.930066\pi$
$930$	19.9990	−	12.2150i	0.655793	−	0.400547i
$931$	−6.61891	−	10.2992i	−0.216926	−	0.337544i
$932$	−2.62976	−	0.572069i	−0.0861407	−	0.0187388i
$933$	−52.2935	−	3.74011i	−1.71201	−	0.122446i
$934$	27.7465	−	8.14710i	0.907892	−	0.266581i
$935$	−6.87262	−	13.3013i	−0.224759	−	0.434998i
$936$	4.74010	−	5.47037i	0.154935	−	0.178804i
$937$	13.4471	+	36.0532i	0.439299	+	1.17781i	0.948394	+	0.317095i	$0.102707\pi$
$937$	13.4471	+	36.0532i	0.439299	+	1.17781i	−0.509095	+	0.860710i	$0.670020\pi$
$938$	−36.6100	+	19.9906i	−1.19536	+	0.652715i
$939$	−20.7079	−	45.3441i	−0.675778	−	1.47975i
$940$	−2.42931	+	2.32057i	−0.0792352	+	0.0756886i
$941$	15.8183	−	24.6137i	0.515661	−	0.802384i	−0.481597	−	0.876393i	$-0.659943\pi$
$941$	15.8183	−	24.6137i	0.515661	−	0.802384i	0.997258	+	0.0740090i	$0.0235793\pi$
$942$	23.0092	−	23.0092i	0.749681	−	0.749681i
$943$	48.7610	−	17.1845i	1.58788	−	0.559605i
$944$			6.47153i			0.210630i
$945$	30.2938	−	33.3854i	0.985458	−	1.08603i
$946$	−0.483259	−	3.36114i	−0.0157121	−	0.109280i
$947$	−11.5918	+	31.0788i	−0.376683	+	1.00993i	0.600891	+	0.799331i	$0.294813\pi$
$947$	−11.5918	+	31.0788i	−0.376683	+	1.00993i	−0.977574	+	0.210594i	$0.932460\pi$
$948$	0.314604	+	0.576155i	0.0102179	+	0.0187126i
$949$	−17.0769	−	7.79875i	−0.554339	−	0.253158i
$950$	−24.7657	−	6.58762i	−0.803507	−	0.213731i
$951$	−13.1530	+	91.4810i	−0.426514	+	2.96647i
$952$	16.7191	+	9.12932i	0.541869	+	0.295883i
$953$	0.245539	−	3.43309i	0.00795379	−	0.111209i	−0.991924	−	0.126833i	$-0.959519\pi$
$953$	0.245539	−	3.43309i	0.00795379	−	0.111209i	0.999878	+	0.0156240i	$0.00497347\pi$
$954$	19.8426	−	12.7520i	0.642427	−	0.412863i
$955$	14.7917	−	6.35014i	0.478649	−	0.205486i
$956$	−12.2641	−	14.1535i	−0.396649	−	0.457757i
$957$	−9.99008	+	18.2955i	−0.322933	+	0.591408i
$958$	7.91051	−	5.92173i	0.255577	−	0.191323i
$959$	−19.7967	−	17.1540i	−0.639269	−	0.553930i
$960$	1.22388	+	6.31911i	0.0395006	+	0.203948i
$961$	17.0256	+	4.99917i	0.549213	+	0.161264i
$962$	10.9421	+	4.08119i	0.352787	+	0.131583i
$963$	−59.2933	+	79.2065i	−1.91070	+	2.55239i
$964$	4.53993	+	2.91764i	0.146221	+	0.0939707i
$965$	−4.49157	−	6.29538i	−0.144589	−	0.202656i
$966$	40.7956	−	11.1778i	1.31258	−	0.359641i
$967$	−36.6857	−	36.6857i	−1.17973	−	1.17973i	−0.979812	−	0.199920i	$-0.935932\pi$
$967$	−36.6857	−	36.6857i	−1.17973	−	1.17973i	−0.199920	−	0.979812i	$-0.564068\pi$
$968$	9.61520	−	2.09166i	0.309044	−	0.0672284i
$969$	−90.7875	+	13.0533i	−2.91652	+	0.419332i
$970$	13.5551	−	3.64531i	0.435227	−	0.117044i
$971$	5.44131	−	18.5314i	0.174620	−	0.594701i	−0.824945	−	0.565213i	$-0.808794\pi$
$971$	5.44131	−	18.5314i	0.174620	−	0.594701i	0.999565	−	0.0294882i	$-0.00938775\pi$
$972$	−10.1814	+	3.79748i	−0.326570	+	0.121804i
$973$	−16.0274	+	1.14630i	−0.513815	+	0.0367488i
$974$	−0.826650	−	0.118854i	−0.0264876	−	0.00380834i
$975$	−0.901921	+	19.6883i	−0.0288846	+	0.630532i
$976$	−6.10727	+	5.29198i	−0.195489	+	0.169392i
$977$	5.92089	−	27.2179i	0.189426	−	0.870777i	−0.780074	−	0.625687i	$-0.784819\pi$
$977$	5.92089	−	27.2179i	0.189426	−	0.870777i	0.969500	−	0.245090i	$-0.0788176\pi$
$978$	4.63011	−	21.2843i	0.148054	−	0.680595i
$979$	−8.91435	+	7.72433i	−0.284904	+	0.246871i
$980$	−0.638930	−	5.30282i	−0.0204099	−	0.169392i
$981$	−10.4847	−	1.50748i	−0.334751	−	0.0481300i
$982$	10.8457	−	0.775698i	0.346099	−	0.0247535i
$983$	−4.80987	+	1.79399i	−0.153411	+	0.0572193i	−0.424997	−	0.905195i	$-0.639725\pi$
$983$	−4.80987	+	1.79399i	−0.153411	+	0.0572193i	0.271586	+	0.962414i	$0.412452\pi$
$984$	8.74250	−	29.7742i	0.278701	−	0.949168i
$985$	−48.5324	−	27.9613i	−1.54637	−	0.890920i
$986$	−41.3769	+	5.94910i	−1.31771	+	0.189458i
$987$	12.9487	−	2.81681i	0.412160	−	0.0896600i
$988$	4.96293	+	4.96293i	0.157892	+	0.157892i
$989$	0.274691	−	15.1184i	0.00873466	−	0.480739i
$990$	−10.3624	+	7.39328i	−0.329339	+	0.234974i
$991$	−46.5181	−	29.8953i	−1.47769	−	0.949657i	−0.997363	−	0.0725695i	$-0.976880\pi$
$991$	−46.5181	−	29.8953i	−1.47769	−	0.949657i	−0.480331	−	0.877087i	$-0.659484\pi$
$992$	2.18187	−	2.91463i	0.0692743	−	0.0925396i
$993$	−23.0062	−	8.58088i	−0.730081	−	0.272306i
$994$	−8.20841	−	2.41021i	−0.260355	−	0.0764472i
$995$	−34.7623	−	23.4817i	−1.10204	−	0.744419i
$996$	15.9383	+	13.8106i	0.505025	+	0.437607i
$997$	−9.46607	+	7.08621i	−0.299793	+	0.224423i	−0.738575	−	0.674171i	$-0.764501\pi$
$997$	−9.46607	+	7.08621i	−0.299793	+	0.224423i	0.438782	+	0.898594i	$0.355410\pi$
$998$	16.1395	−	29.5572i	0.510886	−	0.935617i
$999$	36.7463	+	42.4074i	1.16260	+	1.34171i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.67.6	yes	240
5.3	odd	4	inner	230.2.l.a.113.1	yes	240
23.11	odd	22	inner	230.2.l.a.57.1	✓	240
115.103	even	44	inner	230.2.l.a.103.6	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.57.1	✓	240	23.11	odd	22	inner
230.2.l.a.67.6	yes	240	1.1	even	1	trivial
230.2.l.a.103.6	yes	240	115.103	even	44	inner
230.2.l.a.113.1	yes	240	5.3	odd	4	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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.l (of order \(44\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.212565 - 0.977147i) q^{2} +(2.30436 + 1.72503i) q^{3} +(-0.909632 + 0.415415i) q^{4} +(0.975205 - 2.01221i) q^{5} +(1.19578 - 2.61838i) q^{6} +(-0.218590 - 3.05628i) q^{7} +(0.599278 + 0.800541i) q^{8} +(1.48918 + 5.07170i) q^{9} +(-2.17352 - 0.525193i) q^{10} +(-0.582269 - 0.906028i) q^{11} +(-2.81273 - 0.611871i) q^{12} +(-1.36590 - 0.0976911i) q^{13} +(-2.93997 + 0.863254i) q^{14} +(5.71834 - 2.95460i) q^{15} +(0.654861 - 0.755750i) q^{16} +(2.17259 + 5.82495i) q^{17} +(4.63924 - 2.53322i) q^{18} +(2.12916 + 4.66221i) q^{19} +(-0.0511768 + 2.23548i) q^{20} +(4.76846 - 7.41986i) q^{21} +(-0.761553 + 0.761553i) q^{22} +(-3.89084 + 2.80382i) q^{23} +2.87851i q^{24} +(-3.09795 - 3.92463i) q^{25} +(0.194884 + 1.35545i) q^{26} +(-2.29938 + 6.16487i) q^{27} +(1.46846 + 2.68929i) q^{28} +(-6.11633 - 2.79324i) q^{29} +(-4.10260 - 4.95961i) q^{30} +(-0.518143 + 3.60377i) q^{31} +(-0.877679 - 0.479249i) q^{32} +(0.221162 - 3.09225i) q^{33} +(5.23001 - 3.36112i) q^{34} +(-6.36304 - 2.54065i) q^{35} +(-3.46147 - 3.99475i) q^{36} +(4.08713 - 7.48501i) q^{37} +(4.10308 - 3.07153i) q^{38} +(-2.97901 - 2.58133i) q^{39} +(2.19527 - 0.425179i) q^{40} +(-10.3436 - 3.03716i) q^{41} +(-8.26390 - 3.08228i) q^{42} +(-1.88948 + 2.52405i) q^{43} +(0.906028 + 0.582269i) q^{44} +(11.6576 + 1.94940i) q^{45} +(3.56680 + 3.20593i) q^{46} +(1.06238 + 1.06238i) q^{47} +(2.81273 - 0.611871i) q^{48} +(-2.36433 + 0.339940i) q^{49} +(-3.17642 + 3.86139i) q^{50} +(-5.04174 + 17.1706i) q^{51} +(1.28305 - 0.478552i) q^{52} +(4.45094 - 0.318337i) q^{53} +(6.51275 + 0.936392i) q^{54} +(-2.39095 + 0.288082i) q^{55} +(2.31568 - 2.00655i) q^{56} +(-3.13607 + 14.4163i) q^{57} +(-1.42928 + 6.57030i) q^{58} +(-4.89085 + 4.23795i) q^{59} +(-3.97419 + 5.06308i) q^{60} +(-7.99883 - 1.15006i) q^{61} +(3.63155 - 0.259734i) q^{62} +(15.1750 - 5.65999i) q^{63} +(-0.281733 + 0.959493i) q^{64} +(-1.52861 + 2.65320i) q^{65} +(-3.06859 + 0.441197i) q^{66} +(13.3022 - 2.89371i) q^{67} +(-4.39603 - 4.39603i) q^{68} +(-13.8026 - 0.250782i) q^{69} +(-1.13003 + 6.75768i) q^{70} +(2.34878 + 1.50947i) q^{71} +(-3.16767 + 4.23151i) q^{72} +(12.8449 + 4.79092i) q^{73} +(-8.18274 - 2.40267i) q^{74} +(-0.368724 - 14.3878i) q^{75} +(-3.87351 - 3.35641i) q^{76} +(-2.64180 + 1.97763i) q^{77} +(-1.88910 + 3.45963i) q^{78} +(-0.149343 - 0.172351i) q^{79} +(-0.882101 - 2.05473i) q^{80} +(-2.59304 + 1.66645i) q^{81} +(-0.769059 + 10.7528i) q^{82} +(-6.43033 - 3.51122i) q^{83} +(-1.25522 + 8.73023i) q^{84} +(13.8397 + 1.30881i) q^{85} +(2.86801 + 1.30978i) q^{86} +(-9.27586 - 16.9875i) q^{87} +(0.376372 - 1.00909i) q^{88} +(-1.55864 - 10.8406i) q^{89} +(-0.573146 - 11.8055i) q^{90} +4.19593i q^{91} +(2.37448 - 4.16675i) q^{92} +(-7.41058 + 7.41058i) q^{93} +(0.812278 - 1.26393i) q^{94} +(11.4577 + 0.262301i) q^{95} +(-1.19578 - 2.61838i) q^{96} +(-5.50953 + 3.00843i) q^{97} +(0.834746 + 2.23804i) q^{98} +(3.72800 - 4.30234i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) \) 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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