LMFDB - Embedded newform 350.2.r.a.83.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(13,350)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([19, 10]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("350.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.r (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$20$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			83.7
Character	$\chi$	$=$	350.83
Dual form			350.2.r.a.97.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.891007 - 0.453990i) q^{2} +(0.115311 - 0.728045i) q^{3} +(0.587785 + 0.809017i) q^{4} +(2.05503 - 0.881390i) q^{5} +(-0.433268 + 0.596343i) q^{6} +(0.185982 + 2.63921i) q^{7} +(-0.156434 - 0.987688i) q^{8} +(2.33642 + 0.759148i) q^{9} +O(q^{10})$	\(q+(-0.891007 - 0.453990i) q^{2} +(0.115311 - 0.728045i) q^{3} +(0.587785 + 0.809017i) q^{4} +(2.05503 - 0.881390i) q^{5} +(-0.433268 + 0.596343i) q^{6} +(0.185982 + 2.63921i) q^{7} +(-0.156434 - 0.987688i) q^{8} +(2.33642 + 0.759148i) q^{9} +(-2.23119 - 0.147641i) q^{10} +(-0.985424 - 3.03282i) q^{11} +(0.656779 - 0.334646i) q^{12} +(2.18312 + 4.28461i) q^{13} +(1.03246 - 2.43598i) q^{14} +(-0.404724 - 1.59779i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(0.642231 + 4.05489i) q^{17} +(-1.73712 - 1.73712i) q^{18} +(-1.04587 - 0.759870i) q^{19} +(1.92098 + 1.14449i) q^{20} +(1.94291 + 0.168926i) q^{21} +(-0.498854 + 3.14964i) q^{22} +(1.20275 - 2.36052i) q^{23} -0.737120 q^{24} +(3.44630 - 3.62257i) q^{25} -4.80873i q^{26} +(1.82605 - 3.58382i) q^{27} +(-2.02585 + 1.70175i) q^{28} +(-5.53160 - 7.61360i) q^{29} +(-0.364770 + 1.60738i) q^{30} +(2.68136 - 3.69058i) q^{31} +(0.707107 - 0.707107i) q^{32} +(-2.32166 + 0.367715i) q^{33} +(1.26865 - 3.90450i) q^{34} +(2.70837 + 5.25973i) q^{35} +(0.759148 + 2.33642i) q^{36} +(3.85778 + 7.57133i) q^{37} +(0.586904 + 1.15186i) q^{38} +(3.37112 - 1.09534i) q^{39} +(-1.19202 - 1.89185i) q^{40} +(3.77656 + 1.22708i) q^{41} +(-1.65445 - 1.03258i) q^{42} +(-6.47160 - 6.47160i) q^{43} +(1.87439 - 2.57987i) q^{44} +(5.47051 - 0.499221i) q^{45} +(-2.14331 + 1.55721i) q^{46} +(10.0652 + 1.59417i) q^{47} +(0.656779 + 0.334646i) q^{48} +(-6.93082 + 0.981692i) q^{49} +(-4.71529 + 1.66314i) q^{50} +3.02620 q^{51} +(-2.18312 + 4.28461i) q^{52} +(-5.92877 - 0.939025i) q^{53} +(-3.25404 + 2.36420i) q^{54} +(-4.69818 - 5.36401i) q^{55} +(2.57762 - 0.596556i) q^{56} +(-0.673820 + 0.673820i) q^{57} +(1.47219 + 9.29506i) q^{58} +(0.443164 - 1.36392i) q^{59} +(1.05475 - 1.26659i) q^{60} +(-5.66525 + 1.84075i) q^{61} +(-4.06460 + 2.07102i) q^{62} +(-1.56902 + 6.30747i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(8.26278 + 6.88082i) q^{65} +(2.23556 + 0.726376i) q^{66} +(-9.14913 + 1.44908i) q^{67} +(-2.90298 + 2.90298i) q^{68} +(-1.57988 - 1.14785i) q^{69} +(-0.0253079 - 5.91603i) q^{70} +(-2.69030 + 1.95462i) q^{71} +(0.384305 - 2.42641i) q^{72} +(-11.7889 - 6.00677i) q^{73} -8.49750i q^{74} +(-2.23999 - 2.92679i) q^{75} -1.29277i q^{76} +(7.82098 - 3.16479i) q^{77} +(-3.50097 - 0.554499i) q^{78} +(5.73892 + 7.89894i) q^{79} +(0.203212 + 2.22681i) q^{80} +(3.56381 + 2.58926i) q^{81} +(-2.80786 - 2.80786i) q^{82} +(-15.2729 + 2.41899i) q^{83} +(1.00535 + 1.67114i) q^{84} +(4.89374 + 7.76686i) q^{85} +(2.82819 + 8.70428i) q^{86} +(-6.18090 + 3.14932i) q^{87} +(-2.84133 + 1.44773i) q^{88} +(1.88363 + 5.79723i) q^{89} +(-5.10090 - 2.03875i) q^{90} +(-10.9019 + 6.55855i) q^{91} +(2.61666 - 0.414438i) q^{92} +(-2.37772 - 2.37772i) q^{93} +(-8.24440 - 5.98990i) q^{94} +(-2.81904 - 0.639736i) q^{95} +(-0.433268 - 0.596343i) q^{96} +(5.01991 + 0.795076i) q^{97} +(6.62109 + 2.27183i) q^{98} -7.83402i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q + 8 q^{7}+O(q^{10}) $ 160 * q + 8 * q^7	$ 160 q + 8 q^{7} + 16 q^{15} + 40 q^{16} - 8 q^{18} - 24 q^{22} - 32 q^{23} + 12 q^{28} - 40 q^{29} - 56 q^{30} + 28 q^{35} + 40 q^{36} - 32 q^{37} + 40 q^{39} - 112 q^{43} - 32 q^{50} + 112 q^{53} - 152 q^{57} + 16 q^{58} + 8 q^{60} - 100 q^{63} - 8 q^{65} - 16 q^{67} - 56 q^{70} - 8 q^{72} - 144 q^{77} + 40 q^{78} + 40 q^{81} - 60 q^{84} + 48 q^{85} - 16 q^{88} + 8 q^{92} + 56 q^{93} - 104 q^{95} - 32 q^{98}+O(q^{100}) $ 160 * q + 8 * q^7 + 16 * q^15 + 40 * q^16 - 8 * q^18 - 24 * q^22 - 32 * q^23 + 12 * q^28 - 40 * q^29 - 56 * q^30 + 28 * q^35 + 40 * q^36 - 32 * q^37 + 40 * q^39 - 112 * q^43 - 32 * q^50 + 112 * q^53 - 152 * q^57 + 16 * q^58 + 8 * q^60 - 100 * q^63 - 8 * q^65 - 16 * q^67 - 56 * q^70 - 8 * q^72 - 144 * q^77 + 40 * q^78 + 40 * q^81 - 60 * q^84 + 48 * q^85 - 16 * q^88 + 8 * q^92 + 56 * q^93 - 104 * q^95 - 32 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$-1$	$e\left(\frac{3}{20}\right)$

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 $

$2$	−0.891007	−	0.453990i	−0.630037	−	0.321020i
$2$	−0.891007	−	0.453990i	−0.630037	−	0.321020i
$3$	0.115311	−	0.728045i	0.0665748	−	0.420337i	−0.931781	−	0.363020i	$-0.881746\pi$
$3$	0.115311	−	0.728045i	0.0665748	−	0.420337i	0.998356	−	0.0573167i	$-0.0182545\pi$
$4$	0.587785	+	0.809017i	0.293893	+	0.404508i
$5$	2.05503	−	0.881390i	0.919038	−	0.394169i
$5$	2.05503	−	0.881390i	0.919038	−	0.394169i
$6$	−0.433268	+	0.596343i	−0.176881	+	0.243456i
$7$	0.185982	+	2.63921i	0.0702947	+	0.997526i
$7$	0.185982	+	2.63921i	0.0702947	+	0.997526i
$8$	−0.156434	−	0.987688i	−0.0553079	−	0.349201i
$9$	2.33642	+	0.759148i	0.778806	+	0.253049i
$10$	−2.23119	−	0.147641i	−0.705564	−	0.0466880i
$11$	−0.985424	−	3.03282i	−0.297117	−	0.914431i	−0.982502	−	0.186251i	$-0.940366\pi$
$11$	−0.985424	−	3.03282i	−0.297117	−	0.914431i	0.685386	−	0.728180i	$-0.259634\pi$
$12$	0.656779	−	0.334646i	0.189596	−	0.0966039i
$13$	2.18312	+	4.28461i	0.605487	+	1.18834i	0.966714	+	0.255858i	$0.0823579\pi$
$13$	2.18312	+	4.28461i	0.605487	+	1.18834i	−0.361227	+	0.932478i	$0.617642\pi$
$14$	1.03246	−	2.43598i	0.275937	−	0.651044i
$15$	−0.404724	−	1.59779i	−0.104499	−	0.412547i
$16$	−0.309017	+	0.951057i	−0.0772542	+	0.237764i
$17$	0.642231	+	4.05489i	0.155764	+	0.983454i	0.934464	+	0.356058i	$0.115879\pi$
$17$	0.642231	+	4.05489i	0.155764	+	0.983454i	−0.778700	+	0.627396i	$0.784121\pi$
$18$	−1.73712	−	1.73712i	−0.409442	−	0.409442i
$19$	−1.04587	−	0.759870i	−0.239939	−	0.174326i	0.461317	−	0.887235i	$-0.347377\pi$
$19$	−1.04587	−	0.759870i	−0.239939	−	0.174326i	−0.701256	+	0.712909i	$0.747377\pi$
$20$	1.92098	+	1.14449i	0.429543	+	0.255915i
$21$	1.94291	+	0.168926i	0.423977	+	0.0368627i
$22$	−0.498854	+	3.14964i	−0.106356	+	0.671506i
$23$	1.20275	−	2.36052i	0.250790	−	0.492203i	−0.730950	−	0.682431i	$-0.760923\pi$
$23$	1.20275	−	2.36052i	0.250790	−	0.492203i	0.981740	+	0.190228i	$0.0609227\pi$
$24$	−0.737120			−0.150464
$25$	3.44630	−	3.62257i	0.689261	−	0.724513i
$26$		−	4.80873i		−	0.943069i
$27$	1.82605	−	3.58382i	0.351423	−	0.689706i
$28$	−2.02585	+	1.70175i	−0.382849	+	0.321600i
$29$	−5.53160	−	7.61360i	−1.02719	−	1.41381i	−0.907035	−	0.421055i	$-0.861660\pi$
$29$	−5.53160	−	7.61360i	−1.02719	−	1.41381i	−0.120157	−	0.992755i	$-0.538340\pi$
$30$	−0.364770	+	1.60738i	−0.0665975	+	0.293466i
$31$	2.68136	−	3.69058i	0.481587	−	0.662848i	−0.497222	−	0.867623i	$-0.665646\pi$
$31$	2.68136	−	3.69058i	0.481587	−	0.662848i	0.978809	+	0.204776i	$0.0656465\pi$
$32$	0.707107	−	0.707107i	0.125000	−	0.125000i
$33$	−2.32166	+	0.367715i	−0.404150	+	0.0640110i
$34$	1.26865	−	3.90450i	0.217571	−	0.669616i
$35$	2.70837	+	5.25973i	0.457798	+	0.889056i
$36$	0.759148	+	2.33642i	0.126525	+	0.389403i
$37$	3.85778	+	7.57133i	0.634216	+	1.24472i	0.954730	+	0.297475i	$0.0961444\pi$
$37$	3.85778	+	7.57133i	0.634216	+	1.24472i	−0.320514	+	0.947244i	$0.603856\pi$
$38$	0.586904	+	1.15186i	0.0952085	+	0.186857i
$39$	3.37112	−	1.09534i	0.539812	−	0.175395i
$40$	−1.19202	−	1.89185i	−0.188474	−	0.299128i
$41$	3.77656	+	1.22708i	0.589800	+	0.191638i	0.588686	−	0.808362i	$-0.299645\pi$
$41$	3.77656	+	1.22708i	0.589800	+	0.191638i	0.00111407	+	0.999999i	$0.499645\pi$
$42$	−1.65445	−	1.03258i	−0.255288	−	0.159330i
$43$	−6.47160	−	6.47160i	−0.986910	−	0.986910i	0.0130057	−	0.999915i	$-0.495860\pi$
$43$	−6.47160	−	6.47160i	−0.986910	−	0.986910i	−0.999915	+	0.0130057i	$0.995860\pi$
$44$	1.87439	−	2.57987i	0.282575	−	0.388931i
$45$	5.47051	−	0.499221i	0.815496	−	0.0744195i
$46$	−2.14331	+	1.55721i	−0.316014	+	0.229598i
$47$	10.0652	+	1.59417i	1.46816	+	0.232533i	0.838739	−	0.544534i	$-0.183294\pi$
$47$	10.0652	+	1.59417i	1.46816	+	0.232533i	0.629417	+	0.777067i	$0.283294\pi$
$48$	0.656779	+	0.334646i	0.0947979	+	0.0483019i
$49$	−6.93082	+	0.981692i	−0.990117	+	0.140242i
$50$	−4.71529	+	1.66314i	−0.666843	+	0.235204i
$51$	3.02620			0.423752
$52$	−2.18312	+	4.28461i	−0.302744	+	0.594168i
$53$	−5.92877	−	0.939025i	−0.814380	−	0.128985i	−0.264668	−	0.964340i	$-0.585262\pi$
$53$	−5.92877	−	0.939025i	−0.814380	−	0.128985i	−0.549712	+	0.835355i	$0.685262\pi$
$54$	−3.25404	+	2.36420i	−0.442818	+	0.321726i
$55$	−4.69818	−	5.36401i	−0.633502	−	0.723282i
$56$	2.57762	−	0.596556i	0.344449	−	0.0797181i
$57$	−0.673820	+	0.673820i	−0.0892497	+	0.0892497i
$58$	1.47219	+	9.29506i	0.193308	+	1.22050i
$59$	0.443164	−	1.36392i	0.0576950	−	0.177567i	−0.918056	−	0.396451i	$-0.870242\pi$
$59$	0.443164	−	1.36392i	0.0576950	−	0.177567i	0.975751	+	0.218884i	$0.0702416\pi$
$60$	1.05475	−	1.26659i	0.136167	−	0.163515i
$61$	−5.66525	+	1.84075i	−0.725361	+	0.235684i	−0.648346	−	0.761346i	$-0.724539\pi$
$61$	−5.66525	+	1.84075i	−0.725361	+	0.235684i	−0.0770150	+	0.997030i	$0.524539\pi$
$62$	−4.06460	+	2.07102i	−0.516205	+	0.263019i
$63$	−1.56902	+	6.30747i	−0.197677	+	0.794667i
$64$	−0.951057	+	0.309017i	−0.118882	+	0.0386271i
$65$	8.26278	+	6.88082i	1.02487	+	0.853461i
$66$	2.23556	+	0.726376i	0.275178	+	0.0894108i
$67$	−9.14913	+	1.44908i	−1.11774	+	0.177033i	−0.687855	−	0.725848i	$-0.741447\pi$
$67$	−9.14913	+	1.44908i	−1.11774	+	0.177033i	−0.429889	+	0.902882i	$0.641447\pi$
$68$	−2.90298	+	2.90298i	−0.352038	+	0.352038i
$69$	−1.57988	−	1.14785i	−0.190195	−	0.138185i
$70$	−0.0253079	−	5.91603i	−0.00302487	−	0.707100i
$71$	−2.69030	+	1.95462i	−0.319280	+	0.231970i	−0.735868	−	0.677125i	$-0.763226\pi$
$71$	−2.69030	+	1.95462i	−0.319280	+	0.231970i	0.416588	+	0.909095i	$0.363226\pi$
$72$	0.384305	−	2.42641i	0.0452908	−	0.285955i
$73$	−11.7889	−	6.00677i	−1.37979	−	0.703039i	−0.402595	−	0.915378i	$-0.631892\pi$
$73$	−11.7889	−	6.00677i	−1.37979	−	0.703039i	−0.977196	+	0.212339i	$0.931892\pi$
$74$		−	8.49750i		−	0.987814i
$75$	−2.23999	−	2.92679i	−0.258652	−	0.337956i
$76$		−	1.29277i		−	0.148291i
$77$	7.82098	−	3.16479i	0.891283	−	0.360661i
$78$	−3.50097	−	0.554499i	−0.396407	−	0.0627846i
$79$	5.73892	+	7.89894i	0.645678	+	0.888700i	0.998902	−	0.0468386i	$-0.0149146\pi$
$79$	5.73892	+	7.89894i	0.645678	+	0.888700i	−0.353224	+	0.935539i	$0.614915\pi$
$80$	0.203212	+	2.22681i	0.0227198	+	0.248965i
$81$	3.56381	+	2.58926i	0.395979	+	0.287695i
$82$	−2.80786	−	2.80786i	−0.310076	−	0.310076i
$83$	−15.2729	+	2.41899i	−1.67642	+	0.265519i	−0.920955	−	0.389669i	$-0.872589\pi$
$83$	−15.2729	+	2.41899i	−1.67642	+	0.265519i	−0.755466	+	0.655188i	$0.772589\pi$
$84$	1.00535	+	1.67114i	0.109692	+	0.182336i
$85$	4.89374	+	7.76686i	0.530800	+	0.842434i
$86$	2.82819	+	8.70428i	0.304972	+	0.938607i
$87$	−6.18090	+	3.14932i	−0.662662	+	0.337643i
$88$	−2.84133	+	1.44773i	−0.302887	+	0.154329i
$89$	1.88363	+	5.79723i	0.199665	+	0.614505i	0.999890	+	0.0148060i	$0.00471306\pi$
$89$	1.88363	+	5.79723i	0.199665	+	0.614505i	−0.800226	+	0.599699i	$0.795287\pi$
$90$	−5.10090	−	2.03875i	−0.537683	−	0.214903i
$91$	−10.9019	+	6.55855i	−1.14283	+	0.687523i
$92$	2.61666	−	0.414438i	0.272806	−	0.0432082i
$93$	−2.37772	−	2.37772i	−0.246558	−	0.246558i
$94$	−8.24440	−	5.98990i	−0.850345	−	0.617811i
$95$	−2.81904	−	0.639736i	−0.289227	−	0.0656356i
$96$	−0.433268	−	0.596343i	−0.0442203	−	0.0608640i
$97$	5.01991	+	0.795076i	0.509695	+	0.0807277i	0.405985	−	0.913880i	$-0.366929\pi$
$97$	5.01991	+	0.795076i	0.509695	+	0.0807277i	0.103710	+	0.994608i	$0.466929\pi$
$98$	6.62109	+	2.27183i	0.668831	+	0.229490i
$99$		−	7.83402i		−	0.787349i
$100$	4.95640	+	0.658828i	0.495640	+	0.0658828i
$101$			7.11049i			0.707520i	0.935336	+	0.353760i	$0.115097\pi$
$101$			7.11049i			0.707520i	−0.935336	+	0.353760i	$0.884903\pi$
$102$	−2.69636	−	1.37386i	−0.266979	−	0.136033i
$103$	−0.645796	+	4.07739i	−0.0636321	+	0.401757i	0.935229	+	0.354044i	$0.115194\pi$
$103$	−0.645796	+	4.07739i	−0.0636321	+	0.401757i	−0.998861	+	0.0477139i	$0.984806\pi$
$104$	3.89034	−	2.82650i	0.381479	−	0.277161i
$105$	4.14162	−	1.36531i	0.404181	−	0.133241i
$106$	4.85627	+	3.52828i	0.471682	+	0.342697i
$107$	−11.9492	+	11.9492i	−1.15517	+	1.15517i	−0.169673	+	0.985500i	$0.554271\pi$
$107$	−11.9492	+	11.9492i	−1.15517	+	1.15517i	−0.985500	+	0.169673i	$0.945729\pi$
$108$	3.97269	−	0.629212i	0.382272	−	0.0605460i
$109$	−8.70371	−	2.82801i	−0.833664	−	0.270874i	−0.139076	−	0.990282i	$-0.544413\pi$
$109$	−8.70371	−	2.82801i	−0.833664	−	0.270874i	−0.694588	+	0.719408i	$0.744413\pi$
$110$	1.75090	+	6.91229i	0.166942	+	0.659061i
$111$	5.95711	−	1.93558i	0.565424	−	0.183717i
$112$	−2.56751	−	0.638680i	−0.242607	−	0.0603496i
$113$	12.3675	−	6.30157i	1.16344	−	0.592802i	0.237840	−	0.971304i	$-0.423561\pi$
$113$	12.3675	−	6.30157i	1.16344	−	0.592802i	0.925600	+	0.378502i	$0.123561\pi$
$114$	0.906286	−	0.294470i	0.0848815	−	0.0275797i
$115$	0.391141	−	5.91104i	0.0364741	−	0.551207i
$116$	2.90814	−	8.95032i	0.270014	−	0.831016i
$117$	1.84802	+	11.6679i	0.170849	+	1.07870i
$118$	−1.01407	+	1.01407i	−0.0933525	+	0.0933525i
$119$	−10.5822	+	2.44912i	−0.970072	+	0.224510i
$120$	−1.51480	+	0.649690i	−0.138282	+	0.0593083i
$121$	0.672222	−	0.488398i	0.0611111	−	0.0443998i
$122$	5.88346	+	0.931848i	0.532663	+	0.0843656i
$123$	1.32885	−	2.60801i	0.119818	−	0.235157i
$124$	4.56181			0.409662
$125$	3.88937	−	10.4820i	0.347876	−	0.937541i
$126$	4.26154	−	4.90768i	0.379648	−	0.437211i
$127$	−7.24228	−	3.69013i	−0.642648	−	0.327446i	0.102117	−	0.994772i	$-0.467438\pi$
$127$	−7.24228	−	3.69013i	−0.642648	−	0.327446i	−0.744765	+	0.667327i	$0.767438\pi$
$128$	0.987688	+	0.156434i	0.0873001	+	0.0138270i
$129$	−5.45786	+	3.96537i	−0.480538	+	0.349131i
$130$	−4.23836	−	9.88208i	−0.371729	−	0.866716i
$131$	8.28630	−	11.4051i	0.723978	−	0.996470i	−0.275405	−	0.961328i	$-0.588812\pi$
$131$	8.28630	−	11.4051i	0.723978	−	0.996470i	0.999382	−	0.0351413i	$-0.0111881\pi$
$132$	−1.66213	−	1.66213i	−0.144670	−	0.144670i
$133$	1.81094	−	2.90159i	0.157028	−	0.251600i
$134$	8.80980	+	2.86248i	0.761051	+	0.247280i
$135$	0.593841	−	8.97431i	0.0511097	−	0.772386i
$136$	3.90450	−	1.26865i	0.334808	−	0.108786i
$137$	0.365183	+	0.716712i	0.0311997	+	0.0612328i	0.906080	−	0.423106i	$-0.139060\pi$
$137$	0.365183	+	0.716712i	0.0311997	+	0.0612328i	−0.874881	+	0.484339i	$0.839060\pi$
$138$	0.886569	+	1.73999i	0.0754698	+	0.148118i
$139$	3.02754	+	9.31781i	0.256793	+	0.790326i	0.993471	+	0.114083i	$0.0363931\pi$
$139$	3.02754	+	9.31781i	0.256793	+	0.790326i	−0.736679	+	0.676243i	$0.763607\pi$
$140$	−2.66327	+	5.28271i	−0.225087	+	0.446470i
$141$	2.32125	−	7.14407i	0.195485	−	0.601639i
$142$	3.28445	−	0.520206i	0.275625	−	0.0436547i
$143$	10.8432	−	10.8432i	0.906751	−	0.906751i
$144$	−1.44398	+	1.98747i	−0.120332	+	0.165623i
$145$	−18.0782	−	10.7707i	−1.50131	−	0.894456i
$146$	7.77701	+	10.7041i	0.643630	+	0.885880i
$147$	−0.0844840	+	5.15915i	−0.00696812	+	0.425520i
$148$	−3.85778	+	7.57133i	−0.317108	+	0.622359i
$149$		−	13.1664i		−	1.07863i	−0.842103	−	0.539316i	$-0.818683\pi$
$149$		−	13.1664i		−	1.07863i	0.842103	−	0.539316i	$-0.181317\pi$
$150$	0.667116	+	3.62472i	0.0544698	+	0.295957i
$151$	−4.09598			−0.333327			−0.166663	−	0.986014i	$-0.553299\pi$
$151$	−4.09598			−0.333327			−0.166663	+	0.986014i	$0.553299\pi$
$152$	−0.586904	+	1.15186i	−0.0476042	+	0.0934286i
$153$	−1.57774	+	9.96145i	−0.127553	+	0.805335i
$154$	−8.40533	−	0.730801i	−0.677321	−	0.0588896i
$155$	2.25745	−	9.94758i	0.181322	−	0.799009i
$156$	2.86765	+	2.08347i	0.229596	+	0.166811i
$157$	−0.0366006	−	0.0366006i	−0.00292105	−	0.00292105i	0.705645	−	0.708566i	$-0.250657\pi$
$157$	−0.0366006	−	0.0366006i	−0.00292105	−	0.00292105i	−0.708566	+	0.705645i	$0.750657\pi$
$158$	−1.52737	−	9.64342i	−0.121511	−	0.767189i
$159$	−1.36731	+	4.20813i	−0.108434	+	0.333727i
$160$	0.829890	−	2.07636i	0.0656085	−	0.164151i
$161$	6.45360	+	2.73528i	0.508615	+	0.215570i
$162$	−1.99988	−	3.92498i	−0.157125	−	0.308376i
$163$	−0.654750	+	0.333612i	−0.0512840	+	0.0261305i	−0.479444	−	0.877572i	$-0.659162\pi$
$163$	−0.654750	+	0.333612i	−0.0512840	+	0.0261305i	0.428160	+	0.903703i	$0.359162\pi$
$164$	1.22708	+	3.77656i	0.0958189	+	0.294900i
$165$	−4.44699	+	2.80196i	−0.346198	+	0.218132i
$166$	14.7065	+	4.77842i	1.14144	+	0.370877i
$167$	−2.37673	−	15.0061i	−0.183917	−	1.16120i	−0.890976	−	0.454050i	$-0.849979\pi$
$167$	−2.37673	−	15.0061i	−0.183917	−	1.16120i	0.707060	−	0.707154i	$-0.250021\pi$
$168$	−0.137091	−	1.94541i	−0.0105768	−	0.150092i
$169$	−5.95064	+	8.19036i	−0.457742	+	0.630027i
$170$	−0.834272	−	9.14203i	−0.0639858	−	0.701162i
$171$	−1.86674	−	2.56934i	−0.142753	−	0.196483i
$172$	1.43172	−	9.03955i	0.109168	−	0.689259i
$173$	5.21104	+	2.65516i	0.396188	+	0.201868i	0.640722	−	0.767773i	$-0.278635\pi$
$173$	5.21104	+	2.65516i	0.396188	+	0.201868i	−0.244534	+	0.969641i	$0.578635\pi$
$174$	6.93698			0.525891
$175$	10.2017	+	8.42178i	0.771172	+	0.636626i
$176$	3.18890			0.240372
$177$	−0.941892	−	0.479918i	−0.0707969	−	0.0360728i
$178$	0.953557	−	6.02052i	0.0714721	−	0.451257i
$179$	−7.41835	−	10.2105i	−0.554473	−	0.763167i	0.436137	−	0.899880i	$-0.356346\pi$
$179$	−7.41835	−	10.2105i	−0.554473	−	0.763167i	−0.990611	+	0.136713i	$0.956346\pi$
$180$	3.61937	+	4.13230i	0.269772	+	0.308004i
$181$	−10.3388	+	14.2302i	−0.768479	+	1.05772i	0.227982	+	0.973665i	$0.426787\pi$
$181$	−10.3388	+	14.2302i	−0.768479	+	1.05772i	−0.996461	+	0.0840557i	$0.973213\pi$
$182$	12.6912	−	0.894338i	0.940736	−	0.0662928i
$183$	0.686884	+	4.33682i	0.0507759	+	0.320587i
$184$	−2.51961	−	0.818672i	−0.185748	−	0.0603533i
$185$	14.6012	+	12.1591i	1.07350	+	0.893955i
$186$	1.03910	+	3.19802i	0.0761906	+	0.234490i
$187$	11.6649	−	5.94356i	0.853021	−	0.434636i
$188$	4.62645	+	9.07992i	0.337419	+	0.662221i
$189$	9.79804	+	4.15278i	0.712703	+	0.302071i
$190$	2.22135	+	1.84983i	0.161154	+	0.134201i
$191$	−0.545873	+	1.68002i	−0.0394980	+	0.121562i	−0.968861	−	0.247604i	$-0.920357\pi$
$191$	−0.545873	+	1.68002i	−0.0394980	+	0.121562i	0.929363	+	0.369166i	$0.120357\pi$
$192$	0.115311	+	0.728045i	0.00832186	+	0.0525421i
$193$	−3.55677	−	3.55677i	−0.256022	−	0.256022i	0.567412	−	0.823434i	$-0.307945\pi$
$193$	−3.55677	−	3.55677i	−0.256022	−	0.256022i	−0.823434	+	0.567412i	$0.807945\pi$
$194$	−4.11182	−	2.98741i	−0.295211	−	0.214483i
$195$	5.96234	−	5.22224i	0.426972	−	0.373972i
$196$	−4.86804	−	5.03013i	−0.347717	−	0.359295i
$197$	1.95983	−	12.3739i	0.139632	−	0.881600i	−0.814053	−	0.580791i	$-0.802743\pi$
$197$	1.95983	−	12.3739i	0.139632	−	0.881600i	0.953684	−	0.300809i	$-0.0972567\pi$
$198$	−3.55657	+	6.98017i	−0.252755	+	0.496059i
$199$	19.9606			1.41497			0.707486	−	0.706727i	$-0.249829\pi$
$199$	19.9606			1.41497			0.707486	+	0.706727i	$0.249829\pi$
$200$	−4.11709	−	2.83718i	−0.291122	−	0.200619i
$201$			6.82807i			0.481615i
$202$	3.22809	−	6.33549i	0.227128	−	0.445764i
$203$	19.0651	−	16.0150i	1.33811	−	1.12404i
$204$	1.77875	+	2.44824i	0.124538	+	0.171411i
$205$	8.84249	−	0.806937i	0.617586	−	0.0563589i
$206$	2.42651	−	3.33980i	0.169063	−	0.232695i
$207$	4.60210	−	4.60210i	0.319868	−	0.319868i
$208$	−4.74952	+	0.752250i	−0.329320	+	0.0521592i
$209$	−1.27393	+	3.92074i	−0.0881193	+	0.271203i
$210$	−4.31005	−	0.663758i	−0.297422	−	0.0458036i
$211$	−0.882224	−	2.71521i	−0.0607348	−	0.186923i	0.916086	−	0.400983i	$-0.131331\pi$
$211$	−0.882224	−	2.71521i	−0.0607348	−	0.186923i	−0.976821	+	0.214060i	$0.931331\pi$
$212$	−2.72516	−	5.34842i	−0.187165	−	0.367331i
$213$	1.11283	+	2.18405i	0.0762498	+	0.149649i
$214$	16.0716	−	5.22199i	1.09864	−	0.356968i
$215$	−19.0033	−	7.59534i	−1.29602	−	0.517998i
$216$	−3.82535	−	1.24293i	−0.260282	−	0.0845708i
$217$	10.2389	+	6.39029i	0.695061	+	0.433801i
$218$	6.47117	+	6.47117i	0.438283	+	0.438283i
$219$	−5.73259	+	7.89023i	−0.387373	+	0.533173i
$220$	1.57805	−	6.95379i	0.106392	−	0.468824i
$221$	−15.9715	+	11.6040i	−1.07436	+	0.780569i
$222$	−6.18656	−	0.979855i	−0.415215	−	0.0657636i
$223$	−17.1833	−	8.75535i	−1.15068	−	0.586302i	−0.228685	−	0.973500i	$-0.573443\pi$
$223$	−17.1833	−	8.75535i	−1.15068	−	0.586302i	−0.921996	+	0.387199i	$0.873443\pi$
$224$	1.99771	+	1.73469i	0.133478	+	0.115904i
$225$	10.8021	−	5.84757i	0.720138	−	0.389838i
$226$	−13.8804			−0.923311
$227$	−11.8034	+	23.1654i	−0.783417	+	1.53754i	0.0587183	+	0.998275i	$0.481299\pi$
$227$	−11.8034	+	23.1654i	−0.783417	+	1.53754i	−0.842135	+	0.539267i	$0.818701\pi$
$228$	−0.941194	−	0.149070i	−0.0623321	−	0.00987243i
$229$	10.2179	−	7.42376i	0.675220	−	0.490576i	−0.196549	−	0.980494i	$-0.562973\pi$
$229$	10.2179	−	7.42376i	0.675220	−	0.490576i	0.871768	+	0.489918i	$0.162973\pi$
$230$	−3.03206	+	5.08920i	−0.199928	+	0.335572i
$231$	−1.40227	−	6.05896i	−0.0922623	−	0.398650i
$232$	−6.65453	+	6.65453i	−0.436891	+	0.436891i
$233$	3.52090	+	22.2301i	0.230662	+	1.45634i	0.782637	+	0.622479i	$0.213874\pi$
$233$	3.52090	+	22.2301i	0.230662	+	1.45634i	−0.551975	+	0.833861i	$0.686126\pi$
$234$	3.65053	−	11.2352i	0.238643	−	0.734467i
$235$	22.0893	−	5.59528i	1.44095	−	0.364996i
$236$	1.36392	−	0.443164i	0.0887835	−	0.0288475i
$237$	6.41254	−	3.26735i	0.416540	−	0.212237i
$238$	10.5407	+	2.62206i	0.683253	+	0.169963i
$239$	−6.56443	+	2.13291i	−0.424617	+	0.137967i	−0.513528	−	0.858073i	$-0.671662\pi$
$239$	−6.56443	+	2.13291i	−0.424617	+	0.137967i	0.0889102	+	0.996040i	$0.471662\pi$
$240$	1.64465	+	0.108829i	0.106162	+	0.00702487i
$241$	−3.98043	−	1.29332i	−0.256402	−	0.0833100i	0.177996	−	0.984031i	$-0.443039\pi$
$241$	−3.98043	−	1.29332i	−0.256402	−	0.0833100i	−0.434398	+	0.900721i	$0.643039\pi$
$242$	−0.820683	+	0.129983i	−0.0527555	+	0.00835565i
$243$	10.8284	−	10.8284i	0.694645	−	0.694645i
$244$	−4.81915	−	3.50132i	−0.308514	−	0.224149i
$245$	−13.3778	+	8.12616i	−0.854676	+	0.519161i
$246$	−2.36803	+	1.72047i	−0.150980	+	0.109693i
$247$	0.972485	−	6.14003i	0.0618778	−	0.390681i
$248$	−4.06460	−	2.07102i	−0.258102	−	0.131510i
$249$			11.3983i			0.722339i
$250$	−8.22419	+	7.57381i	−0.520144	+	0.479010i
$251$			24.7322i			1.56108i	0.625106	+	0.780540i	$0.285056\pi$
$251$			24.7322i			1.56108i	−0.625106	+	0.780540i	$0.714944\pi$
$252$	−6.02510	+	2.43808i	−0.379545	+	0.153585i
$253$	−8.34427	−	1.32160i	−0.524600	−	0.0830884i
$254$	4.77764	+	6.57585i	0.299776	+	0.412606i
$255$	6.21893	−	2.66726i	0.389444	−	0.167030i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−14.2664	−	14.2664i	−0.889913	−	0.889913i	0.104601	−	0.994514i	$-0.466643\pi$
$257$	−14.2664	−	14.2664i	−0.889913	−	0.889913i	−0.994514	+	0.104601i	$0.966643\pi$
$258$	6.66323	−	1.05535i	0.414835	−	0.0657034i
$259$	−19.2648	+	11.5896i	−1.19706	+	0.720144i
$260$	−0.709963	+	10.7292i	−0.0440300	+	0.665395i
$261$	−7.14428	−	21.9878i	−0.442220	−	1.36101i
$262$	−12.5610	+	6.40013i	−0.776019	+	0.395401i
$263$	19.2012	−	9.78352i	1.18400	−	0.603278i	0.252704	−	0.967544i	$-0.418680\pi$
$263$	19.2012	−	9.78352i	1.18400	−	0.603278i	0.931295	+	0.364266i	$0.118680\pi$
$264$	0.726376	+	2.23556i	0.0447054	+	0.137589i
$265$	−13.0115	+	3.29583i	−0.799288	+	0.202461i
$266$	−2.93086	+	1.76319i	−0.179702	+	0.108108i
$267$	4.43785	−	0.702886i	0.271592	−	0.0430159i
$268$	−6.55005	−	6.55005i	−0.400108	−	0.400108i
$269$	−24.2766	−	17.6380i	−1.48017	−	1.07541i	−0.977501	−	0.210929i	$-0.932351\pi$
$269$	−24.2766	−	17.6380i	−1.48017	−	1.07541i	−0.502670	−	0.864479i	$-0.667649\pi$
$270$	−4.60337	+	7.72657i	−0.280152	+	0.470224i
$271$	−4.99968	−	6.88146i	−0.303709	−	0.418019i	0.629698	−	0.776840i	$-0.283179\pi$
$271$	−4.99968	−	6.88146i	−0.303709	−	0.418019i	−0.933406	+	0.358821i	$0.883179\pi$
$272$	−4.05489	−	0.642231i	−0.245864	−	0.0389410i
$273$	3.51781	+	8.69338i	0.212908	+	0.526147i
$274$		−	0.804384i		−	0.0485946i
$275$	−14.3827	−	6.88227i	−0.867308	−	0.415017i
$276$		−	1.95284i		−	0.117547i
$277$	6.35692	+	3.23901i	0.381950	+	0.194613i	0.634415	−	0.772993i	$-0.281241\pi$
$277$	6.35692	+	3.23901i	0.381950	+	0.194613i	−0.252465	+	0.967606i	$0.581241\pi$
$278$	1.53264	−	9.67670i	0.0919216	−	0.580370i
$279$	9.06648	−	6.58718i	0.542796	−	0.394364i
$280$	4.77129	−	3.49783i	0.285139	−	0.209035i
$281$	−15.2237	−	11.0606i	−0.908168	−	0.659823i	0.0323828	−	0.999476i	$-0.489690\pi$
$281$	−15.2237	−	11.0606i	−0.908168	−	0.659823i	−0.940551	+	0.339653i	$0.889690\pi$
$282$	−5.31159	+	5.31159i	−0.316301	+	0.316301i
$283$	−7.67989	+	1.21637i	−0.456522	+	0.0723060i	−0.380460	−	0.924797i	$-0.624234\pi$
$283$	−7.67989	+	1.21637i	−0.456522	+	0.0723060i	−0.0760614	+	0.997103i	$0.524234\pi$
$284$	−3.16264	−	1.02760i	−0.187668	−	0.0609770i
$285$	−0.790823	+	1.97862i	−0.0468443	+	0.117203i
$286$	−14.5840	+	4.73864i	−0.862371	+	0.280201i
$287$	−2.53614	+	10.1953i	−0.149704	+	0.601812i
$288$	2.18889	−	1.11530i	0.128982	−	0.0657195i
$289$	0.138325	−	0.0449446i	0.00813679	−	0.00264380i
$290$	11.2180	+	17.8041i	0.658742	+	1.04549i
$291$	1.15770	−	3.56304i	0.0678657	−	0.208869i
$292$	−2.06979	−	13.0681i	−0.121125	−	0.764755i
$293$	3.29387	−	3.29387i	0.192430	−	0.192430i	−0.604315	−	0.796745i	$-0.706553\pi$
$293$	3.29387	−	3.29387i	0.192430	−	0.192430i	0.796745	+	0.604315i	$0.206553\pi$
$294$	2.41748	−	4.55848i	0.140990	−	0.265856i
$295$	−0.291428	−	3.19349i	−0.0169676	−	0.185932i
$296$	6.87462	−	4.99470i	0.399579	−	0.290311i
$297$	−12.6685	−	2.00650i	−0.735102	−	0.116429i
$298$	−5.97742	+	11.7313i	−0.346262	+	0.679578i
$299$	12.7396			0.736753
$300$	1.05118	−	3.53252i	0.0606902	−	0.203950i
$301$	15.8763	−	18.2835i	0.915094	−	1.05384i
$302$	3.64955	+	1.85954i	0.210008	+	0.107004i
$303$	5.17676	+	0.819918i	0.297397	+	0.0471030i
$304$	1.04587	−	0.759870i	0.0599848	−	0.0435815i
$305$	−10.0198	+	8.77609i	−0.573735	+	0.502518i
$306$	5.92818	−	8.15944i	0.338891	−	0.466444i
$307$	−0.358824	−	0.358824i	−0.0204791	−	0.0204791i	0.696793	−	0.717272i	$-0.254610\pi$
$307$	−0.358824	−	0.358824i	−0.0204791	−	0.0204791i	−0.717272	+	0.696793i	$0.754610\pi$
$308$	7.15743	+	4.46709i	0.407832	+	0.254536i
$309$	2.89406	+	0.940337i	0.164637	+	0.0534939i
$310$	−6.52751	+	7.83850i	−0.370737	+	0.445197i
$311$	−22.2850	+	7.24083i	−1.26366	+	0.410590i	−0.862799	−	0.505547i	$-0.831291\pi$
$311$	−22.2850	+	7.24083i	−1.26366	+	0.410590i	−0.400866	+	0.916137i	$0.631291\pi$
$312$	−1.60922	−	3.15827i	−0.0911041	−	0.178802i
$313$	9.73333	+	19.1027i	0.550160	+	1.07975i	0.983901	+	0.178713i	$0.0571933\pi$
$313$	9.73333	+	19.1027i	0.550160	+	1.07975i	−0.433741	+	0.901038i	$0.642807\pi$
$314$	0.0159951	+	0.0492278i	0.000902654	+	0.00277808i
$315$	2.33497	+	14.3450i	0.131561	+	0.808247i
$316$	−3.01713	+	9.28576i	−0.169727	+	0.522365i
$317$	5.76527	−	0.913129i	0.323810	−	0.0512864i	0.00758644	−	0.999971i	$-0.497585\pi$
$317$	5.76527	−	0.913129i	0.323810	−	0.0512864i	0.316223	+	0.948685i	$0.397585\pi$
$318$	3.12873	−	3.12873i	0.175451	−	0.175451i
$319$	−17.6397	+	24.2790i	−0.987635	+	1.35936i
$320$	−1.68209	+	1.47329i	−0.0940315	+	0.0823595i
$321$	7.32168	+	10.0774i	0.408657	+	0.562468i
$322$	−4.50841	−	5.36703i	−0.251244	−	0.299093i
$323$	2.40950	−	4.72890i	0.134068	−	0.263123i
$324$			4.40511i			0.244728i
$325$	23.0449	+	6.85757i	1.27830	+	0.380390i
$326$	0.734843			0.0406992
$327$	−3.06255	+	6.01059i	−0.169359	+	0.332387i
$328$	0.621188	−	3.92203i	0.0342994	−	0.216558i
$329$	−2.33539	+	26.8605i	−0.128754	+	1.48087i
$330$	5.23436	−	0.477671i	0.288142	−	0.0262949i
$331$	−3.56464	−	2.58986i	−0.195930	−	0.142352i	0.485495	−	0.874240i	$-0.338639\pi$
$331$	−3.56464	−	2.58986i	−0.195930	−	0.142352i	−0.681425	+	0.731888i	$0.738639\pi$
$332$	−10.9342	−	10.9342i	−0.600092	−	0.600092i
$333$	3.26563	+	20.6184i	0.178956	+	1.12988i
$334$	−4.69493	+	14.4495i	−0.256895	+	0.790642i
$335$	−17.5245	+	11.0418i	−0.957468	+	0.603281i
$336$	−0.761049	+	1.79561i	−0.0415187	+	0.0979587i
$337$	12.6982	+	24.9215i	0.691713	+	1.35756i	0.923047	+	0.384688i	$0.125691\pi$
$337$	12.6982	+	24.9215i	0.691713	+	1.35756i	−0.231334	+	0.972874i	$0.574309\pi$
$338$	9.02041	−	4.59613i	0.490645	−	0.249996i
$339$	−3.16172	−	9.73077i	−0.171721	−	0.528503i
$340$	−3.40705	+	8.52436i	−0.184773	+	0.462298i
$341$	−13.8352	−	4.49532i	−0.749216	−	0.243435i
$342$	0.496818	+	3.13678i	0.0268648	+	0.169618i
$343$	−3.87990	−	18.1093i	−0.209495	−	0.977810i
$344$	−5.37954	+	7.40430i	−0.290045	+	0.399213i
$345$	−4.25840	−	0.966376i	−0.229264	−	0.0520279i
$346$	−3.43765	−	4.73152i	−0.184809	−	0.254368i
$347$	−1.87707	+	11.8513i	−0.100766	+	0.636213i	0.884676	+	0.466205i	$0.154379\pi$
$347$	−1.87707	+	11.8513i	−0.100766	+	0.636213i	−0.985443	+	0.170008i	$0.945621\pi$
$348$	−6.18090	−	3.14932i	−0.331331	−	0.168821i
$349$	35.5497			1.90293			0.951465	−	0.307756i	$-0.0995781\pi$
$349$	35.5497			1.90293			0.951465	+	0.307756i	$0.0995781\pi$
$350$	−5.26633	−	12.1353i	−0.281497	−	0.648660i
$351$	19.3417			1.03238
$352$	−2.84133	−	1.44773i	−0.151443	−	0.0771643i
$353$	2.40712	−	15.1980i	0.128118	−	0.808906i	−0.837021	−	0.547170i	$-0.815705\pi$
$353$	2.40712	−	15.1980i	0.128118	−	0.808906i	0.965140	−	0.261736i	$-0.0842949\pi$
$354$	0.621354	+	0.855220i	0.0330246	+	0.0454544i
$355$	−3.80587	+	6.38800i	−0.201995	+	0.339040i
$356$	−3.58288	+	4.93142i	−0.189893	+	0.261365i
$357$	0.562819	+	7.98676i	0.0297875	+	0.422704i
$358$	1.97434	+	12.4655i	0.104347	+	0.658820i
$359$	3.19513	+	1.03816i	0.168632	+	0.0547920i	0.392116	−	0.919916i	$-0.371743\pi$
$359$	3.19513	+	1.03816i	0.168632	+	0.0547920i	−0.223484	+	0.974708i	$0.571743\pi$
$360$	−1.34885	−	5.32507i	−0.0710907	−	0.280656i
$361$	−5.35488	−	16.4806i	−0.281836	−	0.867401i
$362$	15.6723	−	7.98545i	0.823720	−	0.419706i
$363$	−0.278061	−	0.545726i	−0.0145944	−	0.0286432i
$364$	−11.7140	−	4.96483i	−0.613979	−	0.260228i
$365$	−29.5209	−	1.95344i	−1.54520	−	0.102248i
$366$	1.35686	−	4.17597i	0.0709240	−	0.218281i
$367$	0.871773	+	5.50416i	0.0455062	+	0.287315i	0.999938	−	0.0111135i	$-0.00353761\pi$
$367$	0.871773	+	5.50416i	0.0455062	+	0.287315i	−0.954432	+	0.298428i	$0.903538\pi$
$368$	1.87332	+	1.87332i	0.0976537	+	0.0976537i
$369$	7.89209	+	5.73394i	0.410846	+	0.298497i
$370$	−7.48961	−	17.4626i	−0.389366	−	0.907839i
$371$	1.37563	−	15.8219i	0.0714194	−	0.821432i
$372$	0.526027	−	3.32120i	0.0272732	−	0.172196i
$373$	10.3092	−	20.2330i	0.533791	−	1.04762i	−0.453877	−	0.891064i	$-0.649960\pi$
$373$	10.3092	−	20.2330i	0.533791	−	1.04762i	0.987668	−	0.156560i	$-0.0500404\pi$
$374$	−13.0918			−0.676961
$375$	−7.18290	−	4.04033i	−0.370923	−	0.208642i
$376$		−	10.1906i		−	0.525542i
$377$	20.5451	−	40.3221i	1.05813	−	2.07669i
$378$	−6.84479	−	8.14837i	−0.352058	−	0.419107i
$379$	13.4015	+	18.4456i	0.688390	+	0.947488i	0.999996	−	0.00272331i	$-0.000866859\pi$
$379$	13.4015	+	18.4456i	0.688390	+	0.947488i	−0.311606	+	0.950211i	$0.600867\pi$
$380$	−1.13943	−	2.65668i	−0.0584517	−	0.136285i
$381$	−3.52169	+	4.84719i	−0.180422	+	0.248329i
$382$	1.24909	−	1.24909i	0.0639090	−	0.0639090i
$383$	−19.5035	+	3.08906i	−0.996584	+	0.157843i	−0.633359	−	0.773858i	$-0.718324\pi$
$383$	−19.5035	+	3.08906i	−0.996584	+	0.157843i	−0.363225	+	0.931701i	$0.618324\pi$
$384$	0.227783	−	0.701043i	0.0116240	−	0.0357750i
$385$	13.2829	−	13.3971i	0.676961	−	0.682778i
$386$	1.55437	+	4.78385i	0.0791152	+	0.243492i
$387$	−10.2075	−	20.0333i	−0.518874	−	1.01835i
$388$	2.30740	+	4.52853i	0.117140	+	0.229901i
$389$	15.0877	−	4.90229i	0.764977	−	0.248556i	0.0995636	−	0.995031i	$-0.468255\pi$
$389$	15.0877	−	4.90229i	0.764977	−	0.248556i	0.665413	+	0.746475i	$0.268255\pi$
$390$	−7.68333	+	1.94621i	−0.389060	+	0.0985499i
$391$	10.3441	+	3.36100i	0.523123	+	0.169973i
$392$	2.05382	+	6.69192i	0.103734	+	0.337993i
$393$	−7.34794	−	7.34794i	−0.370654	−	0.370654i
$394$	−7.36383	+	10.1354i	−0.370984	+	0.510616i
$395$	18.7557	+	11.1743i	0.943701	+	0.562242i
$396$	6.33786	−	4.60472i	0.318489	−	0.231396i
$397$	−4.77325	−	0.756009i	−0.239563	−	0.0379430i	0.0354985	−	0.999370i	$-0.488698\pi$
$397$	−4.77325	−	0.756009i	−0.239563	−	0.0379430i	−0.275061	+	0.961427i	$0.588698\pi$
$398$	−17.7851	−	9.06194i	−0.891484	−	0.454234i
$399$	−1.90367	−	1.65303i	−0.0953027	−	0.0827551i
$400$	2.38030	+	4.39706i	0.119015	+	0.219853i
$401$	−24.3064			−1.21380			−0.606902	−	0.794777i	$-0.707588\pi$
$401$	−24.3064			−1.21380			−0.606902	+	0.794777i	$0.707588\pi$
$402$	3.09988	−	6.08386i	0.154608	−	0.303435i
$403$	21.6664	+	3.43162i	1.07928	+	0.170941i
$404$	−5.75251	+	4.17944i	−0.286198	+	0.207935i
$405$	9.60588	+	2.17990i	0.477320	+	0.108320i
$406$	−24.2578	+	5.61414i	−1.20389	+	0.278625i
$407$	19.1610	−	19.1610i	0.949773	−	0.949773i
$408$	−0.473401	−	2.98894i	−0.0234369	−	0.147974i
$409$	3.05046	−	9.38836i	0.150836	−	0.464224i	−0.846880	−	0.531785i	$-0.821522\pi$
$409$	3.05046	−	9.38836i	0.150836	−	0.464224i	0.997715	+	0.0675604i	$0.0215215\pi$
$410$	−8.24506	−	3.29542i	−0.407195	−	0.162749i
$411$	0.563908	−	0.183225i	0.0278155	−	0.00903782i
$412$	−3.67827	+	1.87417i	−0.181215	+	0.0923338i
$413$	3.68208	+	0.915936i	0.181183	+	0.0450703i
$414$	−6.18982	+	2.01119i	−0.304213	+	0.0988447i
$415$	−29.2542	+	18.4325i	−1.43603	+	0.904816i
$416$	4.57337	+	1.48598i	0.224228	+	0.0728561i
$417$	7.13289	−	1.12974i	0.349299	−	0.0553236i
$418$	2.91505	−	2.91505i	0.142580	−	0.142580i
$419$	12.0328	+	8.74231i	0.587839	+	0.427090i	0.841541	−	0.540192i	$-0.181649\pi$
$419$	12.0328	+	8.74231i	0.587839	+	0.427090i	−0.253703	+	0.967282i	$0.581649\pi$
$420$	3.53894	+	2.54813i	0.172683	+	0.124336i
$421$	5.70388	−	4.14411i	0.277990	−	0.201972i	−0.440050	−	0.897973i	$-0.645039\pi$
$421$	5.70388	−	4.14411i	0.277990	−	0.201972i	0.718040	+	0.696002i	$0.245039\pi$
$422$	−0.446611	+	2.81979i	−0.0217407	+	0.137265i
$423$	22.3062	+	11.3656i	1.08457	+	0.552614i
$424$			6.00268i			0.291516i
$425$	16.9024	+	11.6478i	0.819887	+	0.565004i
$426$		−	2.45122i		−	0.118762i
$427$	−5.91176	−	14.6094i	−0.286090	−	0.706999i
$428$	−16.6907	−	2.64354i	−0.806774	−	0.127780i
$429$	−6.64397	−	9.14465i	−0.320774	−	0.441508i
$430$	13.4839	+	15.3948i	0.650251	+	0.742405i
$431$	20.2986	+	14.7478i	0.977751	+	0.710377i	0.957205	−	0.289411i	$-0.0934596\pi$
$431$	20.2986	+	14.7478i	0.977751	+	0.710377i	0.0205459	+	0.999789i	$0.493460\pi$
$432$	2.84413	+	2.84413i	0.136838	+	0.136838i
$433$	−34.0437	+	5.39199i	−1.63604	+	0.259123i	−0.905686	−	0.423950i	$-0.860643\pi$
$433$	−34.0437	+	5.39199i	−1.63604	+	0.259123i	−0.730351	+	0.683072i	$0.760643\pi$
$434$	−6.22179	−	10.3421i	−0.298655	−	0.496439i
$435$	−9.92615	+	11.9197i	−0.475923	+	0.571508i
$436$	−2.82801	−	8.70371i	−0.135437	−	0.416832i
$437$	−3.05161	+	1.55487i	−0.145978	+	0.0743797i
$438$	8.68987	−	4.42771i	0.415218	−	0.211564i
$439$	6.21106	+	19.1157i	0.296438	+	0.912341i	0.982735	+	0.185020i	$0.0592349\pi$
$439$	6.21106	+	19.1157i	0.296438	+	0.912341i	−0.686297	+	0.727321i	$0.740765\pi$
$440$	−4.56301	+	5.47945i	−0.217533	+	0.261223i
$441$	−16.9385	−	2.96788i	−0.806597	−	0.141327i
$442$	19.4988	−	3.08831i	0.927465	−	0.146896i
$443$	−17.1409	−	17.1409i	−0.814390	−	0.814390i	0.170899	−	0.985289i	$-0.445333\pi$
$443$	−17.1409	−	17.1409i	−0.814390	−	0.814390i	−0.985289	+	0.170899i	$0.945333\pi$
$444$	5.06742	+	3.68170i	0.240489	+	0.174726i
$445$	8.98054	+	10.2533i	0.425719	+	0.486052i
$446$	11.3356	+	15.6021i	0.536757	+	0.738783i
$447$	−9.58573	−	1.51823i	−0.453389	−	0.0718098i
$448$	−0.992439	−	2.45256i	−0.0468884	−	0.115873i
$449$		−	19.1524i		−	0.903855i	−0.892055	−	0.451928i	$-0.850737\pi$
$449$		−	19.1524i		−	0.903855i	0.892055	−	0.451928i	$-0.149263\pi$
$450$	−12.2795	+	0.306187i	−0.578859	+	0.0144338i
$451$		−	12.6629i		−	0.596270i
$452$	12.3675	+	6.30157i	0.581720	+	0.296401i
$453$	−0.472312	+	2.98206i	−0.0221912	+	0.140109i
$454$	21.0337	−	15.2819i	0.987162	−	0.717215i
$455$	−16.6232	+	23.0869i	−0.779307	+	1.08233i
$456$	0.770933	+	0.560116i	0.0361022	+	0.0262298i
$457$	16.4950	−	16.4950i	0.771604	−	0.771604i	−0.206782	−	0.978387i	$-0.566299\pi$
$457$	16.4950	−	16.4950i	0.771604	−	0.771604i	0.978387	+	0.206782i	$0.0662992\pi$
$458$	−12.4746	+	1.97578i	−0.582898	+	0.0923219i
$459$	15.7047	+	5.10277i	0.733033	+	0.238177i
$460$	5.01204	−	3.15798i	0.233687	−	0.147242i
$461$	20.0100	−	6.50166i	0.931961	−	0.302812i	0.196596	−	0.980484i	$-0.437011\pi$
$461$	20.0100	−	6.50166i	0.931961	−	0.302812i	0.735364	+	0.677672i	$0.237011\pi$
$462$	−1.50128	+	6.03519i	−0.0698460	+	0.280782i
$463$	31.2549	−	15.9251i	1.45254	−	0.740104i	0.463269	−	0.886218i	$-0.346677\pi$
$463$	31.2549	−	15.9251i	1.45254	−	0.740104i	0.989268	+	0.146114i	$0.0466765\pi$
$464$	8.95032	−	2.90814i	0.415508	−	0.135007i
$465$	−6.98198	−	2.79059i	−0.323782	−	0.129410i
$466$	6.95509	−	21.4056i	0.322189	−	0.991594i
$467$	0.951147	+	6.00531i	0.0440138	+	0.277892i	0.999873	−	0.0159325i	$-0.00507170\pi$
$467$	0.951147	+	6.00531i	0.0440138	+	0.277892i	−0.955859	+	0.293825i	$0.905072\pi$
$468$	−8.35332	+	8.35332i	−0.386132	+	0.386132i
$469$	−5.52600	−	23.8769i	−0.255167	−	1.10253i
$470$	−22.2219	−	5.04291i	−1.02502	−	0.232612i
$471$	−0.0308674	+	0.0224265i	−0.00142229	+	0.00103336i
$472$	−1.41645	−	0.224344i	−0.0651975	−	0.0103263i
$473$	−13.2500	+	26.0045i	−0.609234	+	1.19569i
$474$	−7.19697			−0.330568
$475$	−6.35707	+	1.16999i	−0.291682	+	0.0536830i
$476$	−8.20146	−	7.12165i	−0.375913	−	0.326420i
$477$	−13.1392	−	6.69477i	−0.601604	−	0.306532i
$478$	6.81727	+	1.07975i	0.311815	+	0.0493866i
$479$	−7.29891	+	5.30297i	−0.333496	+	0.242299i	−0.741912	−	0.670497i	$-0.766081\pi$
$479$	−7.29891	+	5.30297i	−0.333496	+	0.242299i	0.408417	+	0.912796i	$0.366081\pi$
$480$	−1.41599	−	0.843625i	−0.0646308	−	0.0385060i
$481$	−24.0182	+	33.0582i	−1.09513	+	1.50732i
$482$	2.95943	+	2.95943i	0.134798	+	0.134798i
$483$	2.73558	−	4.38310i	0.124473	−	0.199438i
$484$	0.790245	+	0.256766i	0.0359202	+	0.0116712i
$485$	11.0168	−	2.79059i	0.500249	−	0.126714i
$486$	−14.5642	+	4.73220i	−0.660646	+	0.214657i
$487$	−6.72969	−	13.2078i	−0.304952	−	0.598501i	0.686775	−	0.726870i	$-0.259026\pi$
$487$	−6.72969	−	13.2078i	−0.304952	−	0.598501i	−0.991726	+	0.128369i	$0.959026\pi$
$488$	2.70433	+	5.30754i	0.122419	+	0.240261i
$489$	0.167385	+	0.515157i	0.00756939	+	0.0232962i
$490$	15.6089	−	1.16707i	0.705138	−	0.0527228i
$491$	−7.99045	+	24.5921i	−0.360604	+	1.10982i	0.592084	+	0.805876i	$0.298305\pi$
$491$	−7.99045	+	24.5921i	−0.360604	+	1.10982i	−0.952688	+	0.303949i	$0.901695\pi$
$492$	2.89101	−	0.457890i	0.130337	−	0.0206433i
$493$	27.3197	−	27.3197i	1.23042	−	1.23042i
$494$	−3.65401	+	5.02931i	−0.164402	+	0.226279i
$495$	−6.90483	−	16.0992i	−0.310349	−	0.723604i
$496$	2.68136	+	3.69058i	0.120397	+	0.165712i
$497$	−5.65899	−	6.73673i	−0.253840	−	0.302184i
$498$	5.17472	−	10.1560i	0.231885	−	0.455100i
$499$			10.9280i			0.489202i	0.969624	+	0.244601i	$0.0786570\pi$
$499$			10.9280i			0.489202i	−0.969624	+	0.244601i	$0.921343\pi$
$500$	10.7662	−	3.01461i	0.481481	−	0.134818i
$501$	−11.1991			−0.500341
$502$	11.2282	−	22.0365i	0.501138	−	0.983538i
$503$	0.400039	−	2.52575i	0.0178369	−	0.112618i	−0.977164	−	0.212489i	$-0.931843\pi$
$503$	0.400039	−	2.52575i	0.0178369	−	0.112618i	0.995000	+	0.0998713i	$0.0318431\pi$
$504$	6.47527	+	0.562992i	0.288431	+	0.0250776i
$505$	6.26711	+	14.6123i	0.278883	+	0.650238i
$506$	6.83480	+	4.96578i	0.303844	+	0.220756i
$507$	5.27677	+	5.27677i	0.234350	+	0.234350i
$508$	−1.27153	−	8.02813i	−0.0564151	−	0.356191i
$509$	9.61452	−	29.5904i	0.426156	−	1.31157i	−0.475727	−	0.879593i	$-0.657815\pi$
$509$	9.61452	−	29.5904i	0.426156	−	1.31157i	0.901883	−	0.431980i	$-0.142185\pi$
$510$	−6.75201	−	0.446789i	−0.298984	−	0.0197842i
$511$	13.6606	−	32.2306i	0.604308	−	1.42580i
$512$	0.453990	+	0.891007i	0.0200637	+	0.0393773i
$513$	−4.63304	+	2.36065i	−0.204554	+	0.104225i
$514$	6.23464	+	19.1883i	0.274998	+	0.846358i
$515$	2.26664	+	8.94837i	0.0998802	+	0.394312i
$516$	−6.41610	−	2.08472i	−0.282453	−	0.0917746i
$517$	−5.08364	−	32.0968i	−0.223578	−	1.41162i
$518$	22.4267	−	1.58039i	0.985371	−	0.0694381i
$519$	2.53396	−	3.48770i	0.111229	−	0.153093i
$520$	5.50352	−	9.23745i	0.241345	−	0.405089i
$521$	−4.74638	−	6.53283i	−0.207943	−	0.286209i	0.692288	−	0.721621i	$-0.256603\pi$
$521$	−4.74638	−	6.53283i	−0.207943	−	0.286209i	−0.900231	+	0.435412i	$0.856603\pi$
$522$	−3.61667	+	22.8347i	−0.158297	+	0.999449i
$523$	16.9878	+	8.65572i	0.742825	+	0.378488i	0.784080	−	0.620660i	$-0.213135\pi$
$523$	16.9878	+	8.65572i	0.742825	+	0.378488i	−0.0412544	+	0.999149i	$0.513135\pi$
$524$	14.0975			0.615852
$525$	7.30779	−	6.45614i	0.318938	−	0.281769i
$526$	−21.5501			−0.939627
$527$	16.6869	+	8.50242i	0.726894	+	0.370371i
$528$	0.367715	−	2.32166i	0.0160028	−	0.101037i
$529$	9.39359	+	12.9292i	0.408417	+	0.562138i
$530$	13.0896	+	2.97047i	0.568575	+	0.129029i
$531$	2.07083	−	2.85025i	0.0898664	−	0.123690i
$532$	3.41188	−	0.240432i	0.147924	−	0.0104241i
$533$	2.98712	+	18.8599i	0.129387	+	0.816915i
$534$	−4.27326	−	1.38846i	−0.184922	−	0.0600848i
$535$	−14.0241	+	35.0879i	−0.606314	+	1.51698i
$536$	2.86248	+	8.80980i	0.123640	+	0.380525i
$537$	−8.28911	+	4.22351i	−0.357701	+	0.182258i
$538$	13.6231	+	26.7369i	0.587335	+	1.15271i
$539$	9.80710	+	20.0526i	0.422422	+	0.863726i
$540$	7.60942	−	4.79454i	0.327457	−	0.206324i
$541$	9.25228	−	28.4756i	0.397786	−	1.22426i	−0.528984	−	0.848632i	$-0.677427\pi$
$541$	9.25228	−	28.4756i	0.397786	−	1.22426i	0.926770	−	0.375629i	$-0.122573\pi$
$542$	1.33063	+	8.40124i	0.0571552	+	0.360864i
$543$	9.16803	+	9.16803i	0.393438	+	0.393438i
$544$	3.32136	+	2.41311i	0.142402	+	0.103461i
$545$	−20.3790	+	1.85972i	−0.872939	+	0.0796616i
$546$	0.812319	−	9.34291i	0.0347640	−	0.399839i
$547$	−0.951152	+	6.00534i	−0.0406683	+	0.256770i	−0.999643	−	0.0267224i	$-0.991493\pi$
$547$	−0.951152	+	6.00534i	−0.0406683	+	0.256770i	0.958975	+	0.283492i	$0.0914930\pi$
$548$	−0.365183	+	0.716712i	−0.0155998	+	0.0306164i
$549$	−14.6338			−0.624555
$550$	9.69058	+	12.6617i	0.413208	+	0.539899i
$551$			12.1661i			0.518295i
$552$	−0.886569	+	1.73999i	−0.0377349	+	0.0740589i
$553$	−19.7796	+	16.6152i	−0.841114	+	0.706552i
$554$	−4.19358	−	5.77196i	−0.178168	−	0.245227i
$555$	10.5360	−	9.22822i	0.447230	−	0.391716i
$556$	−5.75872	+	7.92620i	−0.244224	+	0.336146i
$557$	1.40126	−	1.40126i	0.0593735	−	0.0593735i	−0.676797	−	0.736170i	$-0.736632\pi$
$557$	1.40126	−	1.40126i	0.0593735	−	0.0593735i	0.736170	+	0.676797i	$0.236632\pi$
$558$	−11.0688	+	1.75313i	−0.468580	+	0.0742158i
$559$	13.6000	−	41.8565i	0.575219	−	1.77034i
$560$	−5.83923	+	0.950467i	−0.246753	+	0.0401645i
$561$	−2.98209	−	9.17792i	−0.125904	−	0.387492i
$562$	8.54296	+	16.7665i	0.360363	+	0.707253i
$563$	−7.47461	−	14.6698i	−0.315017	−	0.618256i	0.678154	−	0.734920i	$-0.262780\pi$
$563$	−7.47461	−	14.6698i	−0.315017	−	0.618256i	−0.993172	+	0.116663i	$0.962780\pi$
$564$	7.14407	−	2.32125i	0.300820	−	0.0977423i
$565$	19.8615	−	23.8505i	0.835581	−	1.00340i
$566$	7.39505	+	2.40280i	0.310837	+	0.100997i
$567$	−6.17078	+	9.88718i	−0.259148	+	0.415223i
$568$	2.35141	+	2.35141i	0.0986629	+	0.0986629i
$569$	12.3458	−	16.9925i	0.517563	−	0.712365i	−0.467609	−	0.883936i	$-0.654884\pi$
$569$	12.3458	−	16.9925i	0.517563	−	0.712365i	0.985172	+	0.171571i	$0.0548843\pi$
$570$	1.60290	−	1.40394i	0.0671382	−	0.0588044i
$571$	26.0635	−	18.9362i	1.09072	−	0.792456i	0.111202	−	0.993798i	$-0.464530\pi$
$571$	26.0635	−	18.9362i	1.09072	−	0.792456i	0.979521	+	0.201341i	$0.0645301\pi$
$572$	15.1458	+	2.39885i	0.633276	+	0.100301i
$573$	1.16019	+	0.591145i	0.0484675	+	0.0246954i
$574$	6.88831	−	7.93274i	0.287513	−	0.331106i
$575$	−4.40612	−	12.4921i	−0.183748	−	0.520957i
$576$	−2.45665			−0.102361
$577$	−11.9379	+	23.4294i	−0.496981	+	0.975381i	0.497197	+	0.867637i	$0.334362\pi$
$577$	−11.9379	+	23.4294i	−0.496981	+	0.975381i	−0.994179	+	0.107743i	$0.965638\pi$
$578$	−0.143653	−	0.0227524i	−0.00597519	−	0.000946377i
$579$	−2.99963	+	2.17936i	−0.124660	+	0.0905710i
$580$	−1.91241	−	20.9564i	−0.0794086	−	0.870167i
$581$	−9.22472	−	39.8585i	−0.382706	−	1.65361i
$582$	−2.64911	+	2.64911i	−0.109809	+	0.109809i
$583$	2.99446	+	18.9063i	0.124018	+	0.783018i
$584$	−4.08862	+	12.5835i	−0.169188	+	0.520707i
$585$	14.0817	+	22.3491i	0.582208	+	0.924023i
$586$	−4.43024	+	1.43947i	−0.183011	+	0.0594640i
$587$	13.0244	−	6.63627i	0.537575	−	0.273908i	−0.164053	−	0.986451i	$-0.552457\pi$
$587$	13.0244	−	6.63627i	0.537575	−	0.273908i	0.701628	+	0.712543i	$0.252457\pi$
$588$	−4.22350	+	2.96412i	−0.174174	+	0.122238i
$589$	−5.60872	+	1.82238i	−0.231103	+	0.0750900i
$590$	−1.19015	+	2.97773i	−0.0489978	+	0.122591i
$591$	−8.78273	−	2.85368i	−0.361273	−	0.117385i
$592$	−8.39288	+	1.32930i	−0.344945	+	0.0546340i
$593$	4.57929	−	4.57929i	0.188049	−	0.188049i	−0.606803	−	0.794852i	$-0.707548\pi$
$593$	4.57929	−	4.57929i	0.188049	−	0.188049i	0.794852	+	0.606803i	$0.207548\pi$
$594$	10.3768	+	7.53919i	0.425765	+	0.309337i
$595$	−19.5882	+	14.3601i	−0.803038	+	0.588706i
$596$	10.6518	−	7.73901i	0.436316	−	0.317002i
$597$	2.30168	−	14.5322i	0.0942015	−	0.594765i
$598$	−11.3511	−	5.78368i	−0.464181	−	0.236512i
$599$		−	6.31229i		−	0.257913i	−0.991650	−	0.128957i	$-0.958837\pi$
$599$		−	6.31229i		−	0.257913i	0.991650	−	0.128957i	$-0.0411628\pi$
$600$	−2.54034	+	2.67027i	−0.103709	+	0.109013i
$601$			45.3373i			1.84935i	0.380762	+	0.924673i	$0.375662\pi$
$601$			45.3373i			1.84935i	−0.380762	+	0.924673i	$0.624338\pi$
$602$	−22.4464	+	9.08303i	−0.914847	+	0.370197i
$603$	−22.4762	−	3.55989i	−0.915303	−	0.144970i
$604$	−2.40756	−	3.31372i	−0.0979622	−	0.134833i
$605$	0.950969	−	1.59616i	0.0386624	−	0.0648933i
$606$	−4.24029	−	3.08075i	−0.172250	−	0.125147i
$607$	22.0152	+	22.0152i	0.893568	+	0.893568i	0.994857	−	0.101289i	$-0.0322967\pi$
$607$	22.0152	+	22.0152i	0.893568	+	0.893568i	−0.101289	+	0.994857i	$0.532297\pi$
$608$	−1.27685	+	0.202234i	−0.0517832	+	0.00820165i
$609$	−9.46125	−	15.7269i	−0.383389	−	0.637288i
$610$	12.9120	−	3.27064i	0.522792	−	0.132424i
$611$	15.1431	+	46.6055i	0.612622	+	1.88546i
$612$	−8.98635	+	4.57878i	−0.363252	+	0.185086i
$613$	−31.4344	+	16.0166i	−1.26962	+	0.646905i	−0.953380	−	0.301773i	$-0.902422\pi$
$613$	−31.4344	+	16.0166i	−1.26962	+	0.646905i	−0.316243	+	0.948678i	$0.602422\pi$
$614$	0.156812	+	0.482617i	0.00632840	+	0.0194768i
$615$	0.432150	−	6.53078i	0.0174260	−	0.263347i
$616$	−4.34930	−	7.22961i	−0.175238	−	0.291289i
$617$	−2.89160	+	0.457984i	−0.116411	+	0.0184377i	−0.214368	−	0.976753i	$-0.568769\pi$
$617$	−2.89160	+	0.457984i	−0.116411	+	0.0184377i	0.0979570	+	0.995191i	$0.468769\pi$
$618$	−2.15172	−	2.15172i	−0.0865549	−	0.0865549i
$619$	8.55173	+	6.21320i	0.343723	+	0.249730i	0.746231	−	0.665687i	$-0.231861\pi$
$619$	8.55173	+	6.21320i	0.343723	+	0.249730i	−0.402508	+	0.915417i	$0.631861\pi$
$620$	9.37466	−	4.02073i	0.376495	−	0.161476i
$621$	−6.26341	−	8.62084i	−0.251342	−	0.345943i
$622$	23.1433	+	3.66554i	0.927963	+	0.146975i
$623$	−14.9498	+	6.04948i	−0.598950	+	0.242367i
$624$			3.54461i			0.141898i
$625$	−1.24597	−	24.9689i	−0.0498389	−	0.998757i
$626$		−	21.4395i		−	0.856895i
$627$	2.70758	+	1.37958i	0.108130	+	0.0550951i
$628$	0.00809722	−	0.0511239i	0.000323114	−	0.00204006i
$629$	−28.2233	+	20.5054i	−1.12534	+	0.817604i
$630$	4.43201	−	13.8415i	0.176575	−	0.551459i
$631$	1.43501	+	1.04259i	0.0571267	+	0.0415050i	0.615982	−	0.787760i	$-0.288759\pi$
$631$	1.43501	+	1.04259i	0.0571267	+	0.0415050i	−0.558855	+	0.829265i	$0.688759\pi$
$632$	6.90393	−	6.90393i	0.274623	−	0.274623i
$633$	−2.07852	+	0.329206i	−0.0826139	+	0.0130848i
$634$	−5.55144	−	1.80377i	−0.220476	−	0.0716370i
$635$	−18.1355	−	1.20005i	−0.719687	−	0.0476226i
$636$	−4.20813	+	1.36731i	−0.166863	+	0.0542172i
$637$	−19.3369	−	27.5527i	−0.766158	−	1.09168i
$638$	26.7396	−	13.6245i	1.05863	−	0.539398i
$639$	−7.76951	+	2.52447i	−0.307357	+	0.0998663i
$640$	2.16761	−	0.549061i	0.0856823	−	0.0217035i
$641$	−11.5477	+	35.5403i	−0.456108	+	1.40376i	0.413721	+	0.910404i	$0.364229\pi$
$641$	−11.5477	+	35.5403i	−0.456108	+	1.40376i	−0.869829	+	0.493353i	$0.835771\pi$
$642$	−1.94861	−	12.3030i	−0.0769055	−	0.485562i
$643$	−18.5841	+	18.5841i	−0.732887	+	0.732887i	−0.971191	−	0.238304i	$-0.923409\pi$
$643$	−18.5841	+	18.5841i	−0.732887	+	0.732887i	0.238304	+	0.971191i	$0.423409\pi$
$644$	1.58044	+	6.82883i	0.0622781	+	0.269094i
$645$	−7.72104	+	12.9595i	−0.304016	+	0.510278i
$646$	−4.29375	+	3.11959i	−0.168935	+	0.122739i
$647$	22.5141	+	3.56588i	0.885120	+	0.140189i	0.582412	−	0.812894i	$-0.302109\pi$
$647$	22.5141	+	3.56588i	0.885120	+	0.140189i	0.302709	+	0.953083i	$0.402109\pi$
$648$	1.99988	−	3.92498i	0.0785626	−	0.154188i
$649$	−4.57323			−0.179515
$650$	−17.4199	−	16.5723i	−0.683266	−	0.650020i
$651$	5.83307	−	6.71750i	0.228616	−	0.263280i
$652$	−0.654750	−	0.333612i	−0.0256420	−	0.0130652i
$653$	−4.13256	−	0.654533i	−0.161720	−	0.0256139i	0.0750496	−	0.997180i	$-0.476089\pi$
$653$	−4.13256	−	0.654533i	−0.161720	−	0.0256139i	−0.236769	+	0.971566i	$0.576089\pi$
$654$	5.45750	−	3.96511i	0.213405	−	0.155048i
$655$	6.97626	−	30.7413i	0.272585	−	1.20116i
$656$	−2.33405	+	3.21254i	−0.0911292	+	0.125429i
$657$	−22.9839	−	22.9839i	−0.896686	−	0.896686i
$658$	14.2753	−	22.8727i	0.556508	−	0.891670i
$659$	6.71021	+	2.18028i	0.261393	+	0.0849316i	0.436781	−	0.899568i	$-0.356118\pi$
$659$	6.71021	+	2.18028i	0.261393	+	0.0849316i	−0.175389	+	0.984499i	$0.556118\pi$
$660$	−4.88071	−	1.95074i	−0.189981	−	0.0759325i
$661$	27.0566	−	8.79122i	1.05238	−	0.341939i	0.268777	−	0.963202i	$-0.413380\pi$
$661$	27.0566	−	8.79122i	1.05238	−	0.341939i	0.783602	+	0.621264i	$0.213380\pi$
$662$	2.00034	+	3.92590i	0.0777456	+	0.152584i
$663$	6.60653	+	12.9661i	0.256577	+	0.503560i
$664$	4.77842	+	14.7065i	0.185439	+	0.570722i
$665$	1.16410	−	7.55901i	0.0451420	−	0.293126i
$666$	6.45086	−	19.8537i	0.249966	−	0.769315i
$667$	−24.6252	+	3.90025i	−0.953491	+	0.151018i
$668$	10.7431	−	10.7431i	0.415665	−	0.415665i
$669$	−8.35572	+	11.5007i	−0.323051	+	0.444641i
$670$	20.6274	−	1.88239i	0.796905	−	0.0727230i
$671$	11.1654	+	15.3678i	0.431034	+	0.593267i
$672$	1.49329	−	1.25439i	0.0576050	−	0.0483893i
$673$	−14.9391	+	29.3196i	−0.575860	+	1.13019i	0.400954	+	0.916098i	$0.368679\pi$
$673$	−14.9391	+	29.3196i	−0.575860	+	1.13019i	−0.976814	+	0.214090i	$0.931321\pi$
$674$		−	27.9701i		−	1.07737i
$675$	−6.68950	−	18.9659i	−0.257479	−	0.729997i
$676$	−10.1238			−0.389378
$677$	20.2005	−	39.6458i	0.776370	−	1.52371i	−0.0738412	−	0.997270i	$-0.523526\pi$
$677$	20.2005	−	39.6458i	0.776370	−	1.52371i	0.850211	−	0.526442i	$-0.176474\pi$
$678$	−1.60056	+	10.1056i	−0.0614693	+	0.388102i
$679$	−1.16475	+	13.3964i	−0.0446991	+	0.514109i
$680$	6.90569	−	6.04849i	0.264821	−	0.231949i
$681$	15.5044	+	11.2646i	0.594130	+	0.431661i
$682$	10.2864	+	10.2864i	0.393886	+	0.393886i
$683$	−1.18264	−	7.46690i	−0.0452525	−	0.285713i	0.954676	−	0.297646i	$-0.0962015\pi$
$683$	−1.18264	−	7.46690i	−0.0452525	−	0.285713i	−0.999929	+	0.0119331i	$0.996202\pi$
$684$	0.981402	−	3.02044i	0.0375248	−	0.115490i
$685$	1.38216	+	1.15100i	0.0528098	+	0.0439773i
$686$	−4.76443	+	17.8969i	−0.181907	+	0.683308i
$687$	−4.22659	−	8.29515i	−0.161255	−	0.316480i
$688$	8.15469	−	4.15502i	0.310895	−	0.158409i
$689$	−8.91984	−	27.4525i	−0.339819	−	1.04586i
$690$	3.35554	+	2.79432i	0.127743	+	0.106378i
$691$	−20.2189	−	6.56953i	−0.769164	−	0.249917i	−0.101957	−	0.994789i	$-0.532510\pi$
$691$	−20.2189	−	6.56953i	−0.769164	−	0.249917i	−0.667207	+	0.744872i	$0.732510\pi$
$692$	0.914904	+	5.77648i	0.0347794	+	0.219589i
$693$	20.6756	−	1.45699i	0.785401	−	0.0553465i
$694$	7.05287	−	9.70745i	0.267723	−	0.368490i
$695$	14.4343	+	16.4799i	0.547525	+	0.625120i
$696$	4.07746	+	5.61214i	0.154556	+	0.212727i
$697$	−2.55024	+	16.1016i	−0.0965974	+	0.609892i
$698$	−31.6750	−	16.1392i	−1.19892	−	0.610878i
$699$	16.5905			0.627510
$700$	−0.816979	+	13.2035i	−0.0308789	+	0.499046i
$701$	18.7998			0.710060			0.355030	−	0.934855i	$-0.384471\pi$
$701$	18.7998			0.710060			0.355030	+	0.934855i	$0.384471\pi$
$702$	−17.2336	−	8.78095i	−0.650440	−	0.331416i
$703$	1.71848	−	10.8500i	0.0648137	−	0.409217i
$704$	1.87439	+	2.57987i	0.0706437	+	0.0972327i
$705$	−1.52647	−	16.7272i	−0.0574902	−	0.629983i
$706$	−9.04449	+	12.4487i	−0.340394	+	0.468512i
$707$	−18.7660	+	1.32243i	−0.705770	+	0.0497349i
$708$	−0.165368	−	1.04410i	−0.00621493	−	0.0392395i
$709$	−1.17636	−	0.382222i	−0.0441790	−	0.0143546i	0.286844	−	0.957977i	$-0.407394\pi$
$709$	−1.17636	−	0.382222i	−0.0441790	−	0.0143546i	−0.331023	+	0.943623i	$0.607394\pi$
$710$	6.29115	−	3.96392i	0.236103	−	0.148763i
$711$	7.41204	+	22.8119i	0.277973	+	0.855513i
$712$	5.43119	−	2.76733i	0.203542	−	0.103710i
$713$	−5.48670	−	10.7683i	−0.205479	−	0.403274i
$714$	3.12444	−	7.37177i	0.116929	−	0.275881i
$715$	12.7260	−	31.8401i	0.475925	−	1.19075i
$716$	3.90006	−	12.0031i	0.145752	−	0.448578i
$717$	0.795905	+	5.02515i	0.0297236	+	0.187668i
$718$	−2.37556	−	2.37556i	−0.0886552	−	0.0886552i
$719$	−27.7804	−	20.1836i	−1.03603	−	0.752723i	−0.0665265	−	0.997785i	$-0.521192\pi$
$719$	−27.7804	−	20.1836i	−1.03603	−	0.752723i	−0.969507	+	0.245062i	$0.921192\pi$
$720$	−1.21569	+	5.35704i	−0.0453062	+	0.199645i
$721$	−10.8812	−	0.946065i	−0.405237	−	0.0352333i
$722$	−2.71081	+	17.1154i	−0.100886	+	0.636969i
$723$	−1.40058	+	2.74880i	−0.0520882	+	0.102229i
$724$	−17.5895			−0.653708
$725$	−46.6443	−	6.20018i	−1.73233	−	0.230269i
$726$			0.612483i			0.0227314i
$727$	−15.9280	+	31.2604i	−0.590737	+	1.15939i	0.381277	+	0.924461i	$0.375484\pi$
$727$	−15.9280	+	31.2604i	−0.590737	+	1.15939i	−0.972014	+	0.234925i	$0.924516\pi$
$728$	8.18325	+	9.74173i	0.303291	+	0.361053i
$729$	1.13282	+	1.55919i	0.0419563	+	0.0577479i
$730$	25.4165	+	15.1428i	0.940707	+	0.560458i
$731$	22.0853	−	30.3979i	0.816856	−	1.12431i
$732$	−3.10482	+	3.10482i	−0.114757	+	0.114757i
$733$	24.9489	−	3.95151i	0.921508	−	0.145952i	0.322384	−	0.946609i	$-0.395516\pi$
$733$	24.9489	−	3.95151i	0.921508	−	0.145952i	0.599124	+	0.800657i	$0.295516\pi$
$734$	1.72208	−	5.30002i	0.0635632	−	0.195627i
$735$	4.37360	+	10.6767i	0.161323	+	0.393815i
$736$	−0.818672	−	2.51961i	−0.0301766	−	0.0928742i
$737$	13.4106	+	26.3197i	0.493985	+	0.969500i
$738$	−4.42875	−	8.69191i	−0.163025	−	0.319954i
$739$	27.8060	−	9.03470i	1.02286	−	0.332347i	0.250895	−	0.968014i	$-0.419275\pi$
$739$	27.8060	−	9.03470i	1.02286	−	0.332347i	0.771963	+	0.635667i	$0.219275\pi$
$740$	−1.25458	+	18.9595i	−0.0461191	+	0.696966i
$741$	−4.35808	−	1.41603i	−0.160098	−	0.0520190i
$742$	−8.40869	+	13.4729i	−0.308693	+	0.494605i
$743$	−0.894876	−	0.894876i	−0.0328298	−	0.0328298i	0.690501	−	0.723331i	$-0.257390\pi$
$743$	−0.894876	−	0.894876i	−0.0328298	−	0.0328298i	−0.723331	+	0.690501i	$0.757390\pi$
$744$	−1.97649	+	2.72040i	−0.0724615	+	0.0997348i
$745$	−11.6047	−	27.0573i	−0.425164	−	0.991304i
$746$	−18.3712	+	13.3474i	−0.672616	+	0.488684i
$747$	−37.5203	−	5.94263i	−1.37280	−	0.217429i
$748$	11.6649	+	5.94356i	0.426511	+	0.217318i
$749$	−33.7588	−	29.3141i	−1.23352	−	1.07111i
$750$	4.56574	+	6.86093i	0.166717	+	0.250526i
$751$	14.2817			0.521146			0.260573	−	0.965454i	$-0.416089\pi$
$751$	14.2817			0.521146			0.260573	+	0.965454i	$0.416089\pi$
$752$	−4.62645	+	9.07992i	−0.168709	+	0.331111i
$753$	18.0061	+	2.85189i	0.656180	+	0.103929i
$754$	−36.6117	+	26.6000i	−1.33332	+	0.968713i
$755$	−8.41738	+	3.61016i	−0.306340	+	0.131387i
$756$	2.39947	+	10.3677i	0.0872679	+	0.377071i
$757$	−18.5871	+	18.5871i	−0.675559	+	0.675559i	−0.958992	−	0.283433i	$-0.908527\pi$
$757$	−18.5871	+	18.5871i	−0.675559	+	0.675559i	0.283433	+	0.958992i	$0.408527\pi$
$758$	−3.56671	−	22.5193i	−0.129549	−	0.817939i
$759$	−1.92437	+	5.92261i	−0.0698503	+	0.214977i
$760$	−0.190865	+	2.88441i	−0.00692340	+	0.104629i
$761$	−4.76358	+	1.54778i	−0.172680	+	0.0561070i	−0.394081	−	0.919076i	$-0.628937\pi$
$761$	−4.76358	+	1.54778i	−0.172680	+	0.0561070i	0.221401	+	0.975183i	$0.428937\pi$
$762$	5.33843	−	2.72007i	0.193391	−	0.0985376i
$763$	5.84496	−	23.4968i	0.211602	−	0.850643i
$764$	−1.68002	+	0.545873i	−0.0607811	+	0.0197490i
$765$	5.53762	+	21.8617i	0.200213	+	0.790411i
$766$	18.7802	+	6.10205i	0.678555	+	0.220476i
$767$	6.81133	−	1.07881i	0.245943	−	0.0389535i
$768$	−0.521223	+	0.521223i	−0.0188080	+	0.0188080i
$769$	26.8378	+	19.4988i	0.967796	+	0.703145i	0.954948	−	0.296773i	$-0.0959104\pi$
$769$	26.8378	+	19.4988i	0.967796	+	0.703145i	0.0128475	+	0.999917i	$0.495910\pi$
$770$	−17.9173	+	5.90655i	−0.645696	+	0.212857i
$771$	−12.0317	+	8.74151i	−0.433309	+	0.314818i
$772$	0.786871	−	4.96811i	0.0283201	−	0.178806i
$773$	20.0874	+	10.2350i	0.722493	+	0.368129i	0.776250	−	0.630426i	$-0.217120\pi$
$773$	20.0874	+	10.2350i	0.722493	+	0.368129i	−0.0537568	+	0.998554i	$0.517120\pi$
$774$			22.4838i			0.808165i
$775$	−4.12858	−	22.4323i	−0.148303	−	0.805791i
$776$		−	5.08248i		−	0.182451i
$777$	6.21632	+	15.3621i	0.223009	+	0.551111i
$778$	−15.6688	−	2.48170i	−0.561755	−	0.0889733i
$779$	−3.01738	−	4.15307i	−0.108109	−	0.148799i
$780$	7.72945	+	1.75408i	0.276759	+	0.0628060i
$781$	8.57910	+	6.23308i	0.306984	+	0.223037i
$782$	−7.69079	−	7.69079i	−0.275022	−	0.275022i
$783$	−37.3867	+	5.92147i	−1.33609	+	0.211616i
$784$	1.20810	−	6.89496i	0.0431463	−	0.246249i
$785$	−0.107475	−	0.0429560i	−0.00383594	−	0.00153317i
$786$	3.21117	+	9.88295i	0.114539	+	0.352513i
$787$	−33.8939	+	17.2698i	−1.20819	+	0.615601i	−0.937808	−	0.347153i	$-0.887148\pi$
$787$	−33.8939	+	17.2698i	−1.20819	+	0.615601i	−0.270377	+	0.962754i	$0.587148\pi$
$788$	11.1626	−	5.68763i	0.397652	−	0.202614i
$789$	−4.90873	−	15.1075i	−0.174755	−	0.537842i
$790$	−11.6384	−	18.4713i	−0.414076	−	0.657180i
$791$	18.9313	+	31.4685i	0.673120	+	1.11889i
$792$	−7.73757	+	1.22551i	−0.274943	+	0.0435467i
$793$	−20.2548	−	20.2548i	−0.719269	−	0.719269i
$794$	3.90978	+	2.84062i	0.138753	+	0.100810i
$795$	0.899151	+	9.85298i	0.0318896	+	0.349449i
$796$	11.7326	+	16.1485i	0.415850	+	0.572368i
$797$	−15.6525	−	2.47911i	−0.554439	−	0.0878146i	−0.127073	−	0.991893i	$-0.540558\pi$
$797$	−15.6525	−	2.47911i	−0.554439	−	0.0878146i	−0.427366	+	0.904079i	$0.640558\pi$
$798$	0.945721	+	2.33711i	0.0334782	+	0.0827328i
$799$			41.8369i			1.48008i
$800$	−0.124636	−	4.99845i	−0.00440655	−	0.176722i
$801$			14.9747i			0.529105i
$802$	21.6572	+	11.0349i	0.764741	+	0.389655i
$803$	−6.60036	+	41.6730i	−0.232921	+	1.47061i
$804$	−5.52403	+	4.01344i	−0.194817	+	0.141543i
$805$	15.6732	−	0.0670477i	0.552407	−	0.00236312i
$806$	−17.7470	−	12.8939i	−0.625111	−	0.454170i
$807$	−15.6406	+	15.6406i	−0.550576	+	0.550576i
$808$	7.02295	−	1.11233i	0.247066	−	0.0391315i
$809$	−44.4539	−	14.4440i	−1.56292	−	0.507823i	−0.605332	−	0.795973i	$-0.706960\pi$
$809$	−44.4539	−	14.4440i	−1.56292	−	0.507823i	−0.957585	+	0.288150i	$0.906960\pi$
$810$	−7.56925	−	6.30329i	−0.265956	−	0.221475i
$811$	39.3280	−	12.7784i	1.38099	−	0.448712i	0.477997	−	0.878362i	$-0.341363\pi$
$811$	39.3280	−	12.7784i	1.38099	−	0.448712i	0.902995	+	0.429650i	$0.141363\pi$
$812$	24.1626	+	6.01057i	0.847941	+	0.210930i
$813$	−5.58653	+	2.84648i	−0.195928	+	0.0998305i
$814$	−25.7714	+	8.37364i	−0.903288	+	0.293496i
$815$	−1.05149	+	1.26267i	−0.0368321	+	0.0442295i
$816$	−0.935146	+	2.87808i	−0.0327367	+	0.100753i
$817$	1.85089	+	11.6860i	0.0647543	+	0.408843i
$818$	−6.98021	+	6.98021i	−0.244057	+	0.244057i
$819$	−30.4504	+	7.04733i	−1.06402	+	0.246254i
$820$	5.85031	+	6.67942i	0.204302	+	0.233255i
$821$	−8.53233	+	6.19910i	−0.297780	+	0.216350i	−0.726635	−	0.687023i	$-0.758917\pi$
$821$	−8.53233	+	6.19910i	−0.297780	+	0.216350i	0.428855	+	0.903373i	$0.358917\pi$
$822$	−0.585628	−	0.0927544i	−0.0204261	−	0.00323518i
$823$	18.5453	−	36.3972i	0.646448	−	1.26873i	−0.302457	−	0.953163i	$-0.597807\pi$
$823$	18.5453	−	36.3972i	0.646448	−	1.26873i	0.948905	−	0.315562i	$-0.102193\pi$
$824$	4.12822			0.143813
$825$	−6.66909	+	9.67764i	−0.232188	+	0.336932i
$826$	−2.86493	−	2.48774i	−0.0996838	−	0.0865594i
$827$	2.14078	+	1.09078i	0.0744420	+	0.0379301i	0.490815	−	0.871264i	$-0.336699\pi$
$827$	2.14078	+	1.09078i	0.0744420	+	0.0379301i	−0.416373	+	0.909194i	$0.636699\pi$
$828$	6.42823	+	1.01813i	0.223396	+	0.0353825i
$829$	−28.2474	+	20.5229i	−0.981072	+	0.712790i	−0.957948	−	0.286942i	$-0.907361\pi$
$829$	−28.2474	+	20.5229i	−0.981072	+	0.712790i	−0.0231238	+	0.999733i	$0.507361\pi$
$830$	34.4339	−	3.14233i	1.19522	−	0.109072i
$831$	3.09117	−	4.25463i	0.107232	−	0.147592i
$832$	−3.40028	−	3.40028i	−0.117884	−	0.117884i
$833$	−8.43183	−	27.4732i	−0.292146	−	0.951890i
$834$	−6.86835	−	2.23166i	−0.237831	−	0.0772761i
$835$	−18.1104	−	28.7431i	−0.626737	−	0.994695i
$836$	−3.92074	+	1.27393i	−0.135602	+	0.0440596i
$837$	−8.33007	−	16.3487i	−0.287929	−	0.565093i
$838$	−6.75234	−	13.2522i	−0.233256	−	0.457790i
$839$	7.07864	+	21.7858i	0.244382	+	0.752130i	0.995738	+	0.0922324i	$0.0294003\pi$
$839$	7.07864	+	21.7858i	0.244382	+	0.752130i	−0.751356	+	0.659897i	$0.770600\pi$
$840$	−1.99639	−	3.87705i	−0.0688821	−	0.133771i
$841$	−18.4067	+	56.6501i	−0.634715	+	1.95345i
$842$	−6.96358	+	1.10292i	−0.239981	+	0.0380092i
$843$	−9.80811	+	9.80811i	−0.337809	+	0.337809i
$844$	1.67809	−	2.30969i	0.0577622	−	0.0795029i
$845$	−5.00986	+	22.0763i	−0.172344	+	0.759447i
$846$	−14.7151	−	20.2536i	−0.505916	−	0.696334i
$847$	1.41401	+	1.68330i	0.0485858	+	0.0578389i
$848$	2.72516	−	5.34842i	0.0935823	−	0.183666i
$849$			5.73156i			0.196707i
$850$	−9.77215	−	18.0518i	−0.335182	−	0.619173i
$851$	22.5122			0.771709
$852$	−1.11283	+	2.18405i	−0.0381249	+	0.0748243i
$853$	−2.98987	+	18.8773i	−0.102371	+	0.646347i	0.882135	+	0.470997i	$0.156106\pi$
$853$	−2.98987	+	18.8773i	−0.102371	+	0.646347i	−0.984506	+	0.175350i	$0.943894\pi$
$854$	−1.36512	+	15.7010i	−0.0467135	+	0.537276i
$855$	−6.10080	−	3.63476i	−0.208643	−	0.124306i
$856$	13.6714	+	9.93282i	0.467277	+	0.339497i
$857$	9.51781	+	9.51781i	0.325122	+	0.325122i	0.850728	−	0.525606i	$-0.176161\pi$
$857$	9.51781	+	9.51781i	0.325122	+	0.325122i	−0.525606	+	0.850728i	$0.676161\pi$
$858$	1.76824	+	11.1642i	0.0603668	+	0.381141i
$859$	9.18485	−	28.2681i	0.313383	−	0.964494i	−0.663032	−	0.748591i	$-0.730731\pi$
$859$	9.18485	−	28.2681i	0.313383	−	0.964494i	0.976415	−	0.215903i	$-0.0692695\pi$
$860$	−5.02513	−	19.8385i	−0.171355	−	0.676486i
$861$	7.13023	+	3.02206i	0.242998	+	0.102992i
$862$	−11.3908	−	22.3558i	−0.387974	−	0.761441i
$863$	−14.3091	+	7.29083i	−0.487086	+	0.248183i	−0.680245	−	0.732985i	$-0.738127\pi$
$863$	−14.3091	+	7.29083i	−0.487086	+	0.248183i	0.193159	+	0.981167i	$0.438127\pi$
$864$	−1.24293	−	3.82535i	−0.0422854	−	0.130141i
$865$	13.0491	+	0.863473i	0.443682	+	0.0293590i
$866$	32.7811	+	10.6512i	1.11395	+	0.361943i
$867$	−0.0167713	−	0.105890i	−0.000569583	−	0.00359620i
$868$	0.848416	+	12.0396i	0.0287971	+	0.408649i
$869$	18.3008	−	25.1889i	0.620813	−	0.854476i
$870$	14.2557	−	6.11418i	0.483314	−	0.207290i
$871$	−26.1823	−	36.0369i	−0.887155	−	1.22106i
$872$	−1.43163	+	9.03895i	−0.0484811	+	0.306097i
$873$	11.1250	+	5.66848i	0.376525	+	0.191849i
$874$	3.42490			0.115849
$875$	28.3876	+	8.31538i	0.959675	+	0.281111i
$876$	−9.75287			−0.329519
$877$	−12.2975	−	6.26590i	−0.415258	−	0.211584i	0.233863	−	0.972269i	$-0.424863\pi$
$877$	−12.2975	−	6.26590i	−0.415258	−	0.211584i	−0.649121	+	0.760685i	$0.724863\pi$
$878$	3.14424	−	19.8519i	0.106113	−	0.669971i
$879$	−2.01826	−	2.77790i	−0.0680743	−	0.0936963i
$880$	6.55329	−	2.81066i	0.220911	−	0.0947475i
$881$	22.3250	−	30.7277i	0.752147	−	1.03524i	−0.245680	−	0.969351i	$-0.579011\pi$
$881$	22.3250	−	30.7277i	0.752147	−	1.03524i	0.997827	−	0.0658902i	$-0.0209887\pi$
$882$	13.7450	+	10.3343i	0.462817	+	0.347975i
$883$	7.11923	+	44.9490i	0.239581	+	1.51266i	0.755004	+	0.655720i	$0.227635\pi$
$883$	7.11923	+	44.9490i	0.239581	+	1.51266i	−0.515423	+	0.856936i	$0.672365\pi$
$884$	−18.7756	−	6.10058i	−0.631493	−	0.205185i
$885$	−2.35861	−	0.156072i	−0.0792839	−	0.00524631i
$886$	7.49086	+	23.0545i	0.251660	+	0.774531i
$887$	−7.68574	+	3.91608i	−0.258062	+	0.131489i	−0.578236	−	0.815870i	$-0.696259\pi$
$887$	−7.68574	+	3.91608i	−0.258062	+	0.131489i	0.320174	+	0.947359i	$0.396259\pi$
$888$	−2.84365	−	5.58098i	−0.0954267	−	0.187285i
$889$	8.39207	−	19.8002i	0.281461	−	0.664076i
$890$	−3.34684	−	13.2128i	−0.112186	−	0.442894i
$891$	4.34090	−	13.3599i	0.145426	−	0.447574i
$892$	−3.01689	−	19.0479i	−0.101013	−	0.637770i
$893$	−9.31551	−	9.31551i	−0.311732	−	0.311732i
$894$	7.85168	+	5.70458i	0.262600	+	0.190790i
$895$	−24.2443	−	14.4444i	−0.810399	−	0.482823i
$896$	−0.229170	+	2.63581i	−0.00765604	+	0.0880561i
$897$	1.46902	−	9.27504i	0.0490492	−	0.309684i
$898$	−8.69499	+	17.0649i	−0.290155	+	0.569462i
$899$	−42.9308			−1.43182
$900$	11.0801	+	5.30194i	0.369336	+	0.176731i
$901$		−	24.6436i		−	0.820996i
$902$	−5.74881	+	11.2827i	−0.191415	+	0.375672i
$903$	−11.4805	−	13.6669i	−0.382047	−	0.454807i
$904$	−8.15870	−	11.2295i	−0.271354	−	0.373487i
$905$	−8.70428	+	38.3560i	−0.289340	+	1.27500i
$906$	1.77466	−	2.44261i	0.0589592	−	0.0811503i
$907$	16.6098	−	16.6098i	0.551518	−	0.551518i	−0.375361	−	0.926879i	$-0.622481\pi$
$907$	16.6098	−	16.6098i	0.551518	−	0.551518i	0.926879	+	0.375361i	$0.122481\pi$
$908$	−25.6790	+	4.06716i	−0.852189	+	0.134973i
$909$	−5.39791	+	16.6131i	−0.179037	+	0.551020i
$910$	25.2926	−	13.0238i	0.838441	−	0.431735i
$911$	−7.43469	−	22.8816i	−0.246322	−	0.758102i	−0.995416	−	0.0956383i	$-0.969511\pi$
$911$	−7.43469	−	22.8816i	−0.246322	−	0.758102i	0.749094	−	0.662464i	$-0.230489\pi$
$912$	−0.432619	−	0.849063i	−0.0143255	−	0.0281153i
$913$	22.3867	+	43.9364i	0.740891	+	1.45408i
$914$	−22.1858	+	7.20859i	−0.733839	+	0.238439i
$915$	5.23399	+	8.30688i	0.173030	+	0.274617i
$916$	12.0119	+	3.90290i	0.396884	+	0.128955i
$917$	31.6416	+	19.7481i	1.04490	+	0.652140i
$918$	−11.6764	−	11.6764i	−0.385378	−	0.385378i
$919$	20.8299	−	28.6700i	0.687116	−	0.945734i	−0.312875	−	0.949794i	$-0.601292\pi$
$919$	20.8299	−	28.6700i	0.687116	−	0.945734i	0.999992	+	0.00405970i	$0.00129225\pi$
$920$	−5.89945	+	0.538365i	−0.194499	+	0.0177494i
$921$	−0.302616	+	0.219863i	−0.00997154	+	0.00724475i
$922$	−20.7808	−	3.29135i	−0.684378	−	0.108395i
$923$	−14.2480	−	7.25972i	−0.468979	−	0.238957i
$924$	4.07757	−	4.69582i	0.134142	−	0.154481i
$925$	40.7227	+	12.1180i	1.33896	+	0.398438i
$926$	−35.0781			−1.15274
$927$	−4.60419	+	9.03623i	−0.151221	+	0.296789i
$928$	−9.29506	−	1.47219i	−0.305125	−	0.0483271i
$929$	13.6773	−	9.93714i	0.448738	−	0.326027i	−0.340359	−	0.940295i	$-0.610549\pi$
$929$	13.6773	−	9.93714i	0.448738	−	0.326027i	0.789097	+	0.614268i	$0.210549\pi$
$930$	4.95409	+	5.65618i	0.162451	+	0.185474i
$931$	7.99471	+	4.23980i	0.262016	+	0.138954i
$932$	−15.9150	+	15.9150i	−0.521312	+	0.521312i
$933$	2.70194	+	17.0594i	0.0884577	+	0.558500i
$934$	1.87887	−	5.78258i	0.0614786	−	0.189212i
$935$	18.7331	−	22.4955i	0.612638	−	0.735682i
$936$	11.2352	−	3.65053i	0.367234	−	0.119321i
$937$	38.7563	−	19.7473i	1.26611	−	0.645117i	0.313583	−	0.949561i	$-0.398471\pi$
$937$	38.7563	−	19.7473i	1.26611	−	0.645117i	0.952530	+	0.304444i	$0.0984706\pi$
$938$	−5.91620	+	23.7833i	−0.193171	+	0.776551i
$939$	15.0300	−	4.88355i	0.490486	−	0.159369i
$940$	17.5104	+	14.5818i	0.571128	+	0.475606i
$941$	−3.44783	−	1.12027i	−0.112396	−	0.0365197i	0.252279	−	0.967655i	$-0.418820\pi$
$941$	−3.44783	−	1.12027i	−0.112396	−	0.0365197i	−0.364675	+	0.931135i	$0.618820\pi$
$942$	0.0376844	−	0.00596863i	0.00122783	−	0.000194468i
$943$	7.43880	−	7.43880i	0.242241	−	0.242241i
$944$	1.16022	+	0.842948i	0.0377619	+	0.0274356i
$945$	23.7955	−	0.101794i	0.774068	−	0.00331135i
$946$	23.6116	−	17.1548i	0.767679	−	0.557752i
$947$	0.672310	−	4.24480i	0.0218471	−	0.137937i	−0.974354	−	0.225021i	$-0.927755\pi$
$947$	0.672310	−	4.24480i	0.0218471	−	0.137937i	0.996201	+	0.0870839i	$0.0277548\pi$
$948$	6.41254	+	3.26735i	0.208270	+	0.106119i
$949$		−	63.6244i		−	2.06534i
$950$	6.19536	+	1.84358i	0.201004	+	0.0598135i
$951$		−	4.30267i		−	0.139524i
$952$	4.07439	+	10.0688i	0.132052	+	0.326332i
$953$	−19.7439	−	3.12713i	−0.639568	−	0.101298i	−0.171776	−	0.985136i	$-0.554950\pi$
$953$	−19.7439	−	3.12713i	−0.639568	−	0.101298i	−0.467792	+	0.883839i	$0.654950\pi$
$954$	8.66777	+	11.9302i	0.280630	+	0.386253i
$955$	0.358970	+	3.93363i	0.0116160	+	0.127289i
$956$	−5.58403	−	4.05704i	−0.180601	−	0.131214i
$957$	15.6422	+	15.6422i	0.505639	+	0.505639i
$958$	8.91087	−	1.41134i	0.287897	−	0.0455984i
$959$	−1.82363	+	1.09709i	−0.0588882	+	0.0354268i
$960$	0.878659	+	1.39452i	0.0283586	+	0.0450080i
$961$	3.14886	+	9.69118i	0.101576	+	0.312619i
$962$	36.4084	−	18.5510i	1.17385	−	0.598109i
$963$	−36.9895	+	18.8471i	−1.19197	+	0.607340i
$964$	−1.29332	−	3.98043i	−0.0416550	−	0.128201i
$965$	−10.4442	−	4.17438i	−0.336210	−	0.134378i
$966$	−4.42731	+	2.66345i	−0.142446	+	0.0856950i
$967$	−53.4883	+	8.47172i	−1.72007	+	0.272432i	−0.936956	−	0.349448i	$-0.886369\pi$
$967$	−53.4883	+	8.47172i	−1.72007	+	0.272432i	−0.783113	+	0.621880i	$0.786369\pi$
$968$	−0.587544	−	0.587544i	−0.0188844	−	0.0188844i
$969$	−3.16501	−	2.29952i	−0.101675	−	0.0738711i
$970$	−11.0830	−	2.51511i	−0.355853	−	0.0807552i
$971$	32.5729	+	44.8327i	1.04531	+	1.43875i	0.892802	+	0.450449i	$0.148736\pi$
$971$	32.5729	+	44.8327i	1.04531	+	1.43875i	0.152511	+	0.988302i	$0.451264\pi$
$972$	15.1252	+	2.39559i	0.485141	+	0.0768387i
$973$	−24.0286	+	9.72325i	−0.770320	+	0.311713i
$974$			14.8234i			0.474973i
$975$	7.64996	−	15.9870i	0.244995	−	0.511994i
$976$		−	5.95680i		−	0.190672i
$977$	−13.0106	−	6.62925i	−0.416247	−	0.212088i	0.233308	−	0.972403i	$-0.425045\pi$
$977$	−13.0106	−	6.62925i	−0.416247	−	0.212088i	−0.649555	+	0.760314i	$0.725045\pi$
$978$	0.0847355	−	0.534999i	0.00270954	−	0.0171074i
$979$	15.7258	−	11.4255i	0.502599	−	0.365159i
$980$	−14.4375	−	6.04643i	−0.461188	−	0.193146i
$981$	−18.1886	−	13.2148i	−0.580718	−	0.421916i
$982$	18.2841	−	18.2841i	0.583469	−	0.583469i
$983$	49.6092	−	7.85733i	1.58229	−	0.250610i	0.697493	−	0.716591i	$-0.254299\pi$
$983$	49.6092	−	7.85733i	1.58229	−	0.250610i	0.884795	+	0.465981i	$0.154299\pi$
$984$	−2.78378	−	0.904506i	−0.0887437	−	0.0288346i
$985$	−6.87868	−	27.1560i	−0.219173	−	0.865263i
$986$	−36.7449	+	11.9391i	−1.17020	+	0.380220i
$987$	19.2864	+	4.79759i	0.613893	+	0.152709i
$988$	5.53900	−	2.82226i	0.176219	−	0.0897881i
$989$	−23.0601	+	7.49267i	−0.733267	+	0.238253i
$990$	−1.15662	+	17.4792i	−0.0367598	+	0.555525i
$991$	−1.55155	+	4.77518i	−0.0492866	+	0.151689i	−0.972671	−	0.232189i	$-0.925411\pi$
$991$	−1.55155	+	4.77518i	−0.0492866	+	0.151689i	0.923384	+	0.383877i	$0.125411\pi$
$992$	−0.713624	−	4.50564i	−0.0226576	−	0.143054i
$993$	−2.29658	+	2.29658i	−0.0728797	+	0.0728797i
$994$	1.98378	+	8.57160i	0.0629217	+	0.271875i
$995$	41.0197	−	17.5931i	1.30041	−	0.557739i
$996$	−9.22143	+	6.69976i	−0.292192	+	0.212290i
$997$	29.2677	+	4.63555i	0.926917	+	0.146809i	0.601602	−	0.798796i	$-0.294529\pi$
$997$	29.2677	+	4.63555i	0.926917	+	0.146809i	0.325316	+	0.945606i	$0.394529\pi$
$998$	4.96119	−	9.73688i	0.157044	−	0.308215i
$999$	34.1787			1.08137

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.r.a.83.7	yes	160
7.6	odd	2	inner	350.2.r.a.83.4	✓	160
25.22	odd	20	inner	350.2.r.a.97.4	yes	160
175.97	even	20	inner	350.2.r.a.97.7	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.r.a.83.4	✓	160	7.6	odd	2	inner
350.2.r.a.83.7	yes	160	1.1	even	1	trivial
350.2.r.a.97.4	yes	160	25.22	odd	20	inner
350.2.r.a.97.7	yes	160	175.97	even	20	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.r (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.891007 - 0.453990i) q^{2} +(0.115311 - 0.728045i) q^{3} +(0.587785 + 0.809017i) q^{4} +(2.05503 - 0.881390i) q^{5} +(-0.433268 + 0.596343i) q^{6} +(0.185982 + 2.63921i) q^{7} +(-0.156434 - 0.987688i) q^{8} +(2.33642 + 0.759148i) q^{9} +O(q^{10})\)	\(q+(-0.891007 - 0.453990i) q^{2} +(0.115311 - 0.728045i) q^{3} +(0.587785 + 0.809017i) q^{4} +(2.05503 - 0.881390i) q^{5} +(-0.433268 + 0.596343i) q^{6} +(0.185982 + 2.63921i) q^{7} +(-0.156434 - 0.987688i) q^{8} +(2.33642 + 0.759148i) q^{9} +(-2.23119 - 0.147641i) q^{10} +(-0.985424 - 3.03282i) q^{11} +(0.656779 - 0.334646i) q^{12} +(2.18312 + 4.28461i) q^{13} +(1.03246 - 2.43598i) q^{14} +(-0.404724 - 1.59779i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(0.642231 + 4.05489i) q^{17} +(-1.73712 - 1.73712i) q^{18} +(-1.04587 - 0.759870i) q^{19} +(1.92098 + 1.14449i) q^{20} +(1.94291 + 0.168926i) q^{21} +(-0.498854 + 3.14964i) q^{22} +(1.20275 - 2.36052i) q^{23} -0.737120 q^{24} +(3.44630 - 3.62257i) q^{25} -4.80873i q^{26} +(1.82605 - 3.58382i) q^{27} +(-2.02585 + 1.70175i) q^{28} +(-5.53160 - 7.61360i) q^{29} +(-0.364770 + 1.60738i) q^{30} +(2.68136 - 3.69058i) q^{31} +(0.707107 - 0.707107i) q^{32} +(-2.32166 + 0.367715i) q^{33} +(1.26865 - 3.90450i) q^{34} +(2.70837 + 5.25973i) q^{35} +(0.759148 + 2.33642i) q^{36} +(3.85778 + 7.57133i) q^{37} +(0.586904 + 1.15186i) q^{38} +(3.37112 - 1.09534i) q^{39} +(-1.19202 - 1.89185i) q^{40} +(3.77656 + 1.22708i) q^{41} +(-1.65445 - 1.03258i) q^{42} +(-6.47160 - 6.47160i) q^{43} +(1.87439 - 2.57987i) q^{44} +(5.47051 - 0.499221i) q^{45} +(-2.14331 + 1.55721i) q^{46} +(10.0652 + 1.59417i) q^{47} +(0.656779 + 0.334646i) q^{48} +(-6.93082 + 0.981692i) q^{49} +(-4.71529 + 1.66314i) q^{50} +3.02620 q^{51} +(-2.18312 + 4.28461i) q^{52} +(-5.92877 - 0.939025i) q^{53} +(-3.25404 + 2.36420i) q^{54} +(-4.69818 - 5.36401i) q^{55} +(2.57762 - 0.596556i) q^{56} +(-0.673820 + 0.673820i) q^{57} +(1.47219 + 9.29506i) q^{58} +(0.443164 - 1.36392i) q^{59} +(1.05475 - 1.26659i) q^{60} +(-5.66525 + 1.84075i) q^{61} +(-4.06460 + 2.07102i) q^{62} +(-1.56902 + 6.30747i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(8.26278 + 6.88082i) q^{65} +(2.23556 + 0.726376i) q^{66} +(-9.14913 + 1.44908i) q^{67} +(-2.90298 + 2.90298i) q^{68} +(-1.57988 - 1.14785i) q^{69} +(-0.0253079 - 5.91603i) q^{70} +(-2.69030 + 1.95462i) q^{71} +(0.384305 - 2.42641i) q^{72} +(-11.7889 - 6.00677i) q^{73} -8.49750i q^{74} +(-2.23999 - 2.92679i) q^{75} -1.29277i q^{76} +(7.82098 - 3.16479i) q^{77} +(-3.50097 - 0.554499i) q^{78} +(5.73892 + 7.89894i) q^{79} +(0.203212 + 2.22681i) q^{80} +(3.56381 + 2.58926i) q^{81} +(-2.80786 - 2.80786i) q^{82} +(-15.2729 + 2.41899i) q^{83} +(1.00535 + 1.67114i) q^{84} +(4.89374 + 7.76686i) q^{85} +(2.82819 + 8.70428i) q^{86} +(-6.18090 + 3.14932i) q^{87} +(-2.84133 + 1.44773i) q^{88} +(1.88363 + 5.79723i) q^{89} +(-5.10090 - 2.03875i) q^{90} +(-10.9019 + 6.55855i) q^{91} +(2.61666 - 0.414438i) q^{92} +(-2.37772 - 2.37772i) q^{93} +(-8.24440 - 5.98990i) q^{94} +(-2.81904 - 0.639736i) q^{95} +(-0.433268 - 0.596343i) q^{96} +(5.01991 + 0.795076i) q^{97} +(6.62109 + 2.27183i) q^{98} -7.83402i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q + 8 q^{7}+O(q^{10}) \) 160 * q + 8 * q^7	\( 160 q + 8 q^{7} + 16 q^{15} + 40 q^{16} - 8 q^{18} - 24 q^{22} - 32 q^{23} + 12 q^{28} - 40 q^{29} - 56 q^{30} + 28 q^{35} + 40 q^{36} - 32 q^{37} + 40 q^{39} - 112 q^{43} - 32 q^{50} + 112 q^{53} - 152 q^{57} + 16 q^{58} + 8 q^{60} - 100 q^{63} - 8 q^{65} - 16 q^{67} - 56 q^{70} - 8 q^{72} - 144 q^{77} + 40 q^{78} + 40 q^{81} - 60 q^{84} + 48 q^{85} - 16 q^{88} + 8 q^{92} + 56 q^{93} - 104 q^{95} - 32 q^{98}+O(q^{100}) \) 160 * q + 8 * q^7 + 16 * q^15 + 40 * q^16 - 8 * q^18 - 24 * q^22 - 32 * q^23 + 12 * q^28 - 40 * q^29 - 56 * q^30 + 28 * q^35 + 40 * q^36 - 32 * q^37 + 40 * q^39 - 112 * q^43 - 32 * q^50 + 112 * q^53 - 152 * q^57 + 16 * q^58 + 8 * q^60 - 100 * q^63 - 8 * q^65 - 16 * q^67 - 56 * q^70 - 8 * q^72 - 144 * q^77 + 40 * q^78 + 40 * q^81 - 60 * q^84 + 48 * q^85 - 16 * q^88 + 8 * q^92 + 56 * q^93 - 104 * q^95 - 32 * q^98

Introduction

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