LMFDB - Embedded newform 185.2.p.a.103.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [185,2,Mod(82,185)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(185, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([3, 1])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("185.82"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$N$	$=$	$185 = 5 \cdot 37$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	185.p (of order $12$ , degree $4$ , 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:	$1.47723243739$
Analytic rank:	$0$
Dimension:	$68$
Relative dimension:	$17$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			103.4
Character	$\chi$	$=$	185.103
Dual form			185.2.p.a.97.4

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.775482 - 1.34317i) q^{2} +(0.832043 + 3.10523i) q^{3} +(-0.202746 + 0.351166i) q^{4} +(1.84991 - 1.25612i) q^{5} +(3.52563 - 3.52563i) q^{6} +(1.07995 + 4.03042i) q^{7} -2.47303 q^{8} +(-6.35206 + 3.66736i) q^{9} +(-3.12176 - 1.51064i) q^{10} -2.17031i q^{11} +(-1.25914 - 0.337386i) q^{12} +(-0.186020 + 0.322197i) q^{13} +(4.57608 - 4.57608i) q^{14} +(5.43975 + 4.69923i) q^{15} +(2.32328 + 4.02404i) q^{16} +(2.61037 - 1.50709i) q^{17} +(9.85182 + 5.68795i) q^{18} +(3.82515 - 1.02494i) q^{19} +(0.0660477 + 0.904297i) q^{20} +(-11.6168 + 6.70696i) q^{21} +(-2.91511 + 1.68304i) q^{22} +1.45449 q^{23} +(-2.05766 - 7.67931i) q^{24} +(1.84430 - 4.64742i) q^{25} +0.577022 q^{26} +(-9.85364 - 9.85364i) q^{27} +(-1.63430 - 0.437909i) q^{28} +(-1.83172 + 1.83172i) q^{29} +(2.09345 - 10.9507i) q^{30} +(-3.31971 - 3.31971i) q^{31} +(1.13030 - 1.95773i) q^{32} +(6.73931 - 1.80579i) q^{33} +(-4.04858 - 2.33745i) q^{34} +(7.06051 + 6.09934i) q^{35} -2.97417i q^{36} +(-5.91963 - 1.39926i) q^{37} +(-4.34301 - 4.34301i) q^{38} +(-1.15527 - 0.309554i) q^{39} +(-4.57487 + 3.10643i) q^{40} +(-6.50835 - 3.75760i) q^{41} +(18.0172 + 10.4023i) q^{42} +0.461635 q^{43} +(0.762140 + 0.440021i) q^{44} +(-7.14405 + 14.7633i) q^{45} +(-1.12793 - 1.95363i) q^{46} +(9.19431 - 9.19431i) q^{47} +(-10.5625 + 10.5625i) q^{48} +(-9.01581 + 5.20528i) q^{49} +(-7.67253 + 1.12678i) q^{50} +(6.85181 + 6.85181i) q^{51} +(-0.0754296 - 0.130648i) q^{52} +(0.0494320 - 0.184483i) q^{53} +(-5.59384 + 20.8765i) q^{54} +(-2.72618 - 4.01487i) q^{55} +(-2.67074 - 9.96733i) q^{56} +(6.36537 + 11.0251i) q^{57} +(3.88079 + 1.03985i) q^{58} +(2.33219 - 8.70387i) q^{59} +(-2.75309 + 0.957507i) q^{60} +(-0.701769 + 0.188038i) q^{61} +(-1.88457 + 7.03332i) q^{62} +(-21.6409 - 21.6409i) q^{63} +5.78701 q^{64} +(0.0605992 + 0.829698i) q^{65} +(-7.65172 - 7.65172i) q^{66} +(-10.5795 + 2.83478i) q^{67} +1.22223i q^{68} +(1.21020 + 4.51652i) q^{69} +(2.71719 - 14.2134i) q^{70} +(0.479804 - 0.831045i) q^{71} +(15.7088 - 9.06949i) q^{72} +(-3.33340 + 3.33340i) q^{73} +(2.71112 + 9.03621i) q^{74} +(15.9658 + 1.86012i) q^{75} +(-0.415606 + 1.55106i) q^{76} +(8.74727 - 2.34382i) q^{77} +(0.480107 + 1.79178i) q^{78} +(9.10924 - 2.44081i) q^{79} +(9.35254 + 4.52576i) q^{80} +(11.3970 - 19.7402i) q^{81} +11.6558i q^{82} +(-2.62433 + 9.79413i) q^{83} -5.43923i q^{84} +(2.93583 - 6.06693i) q^{85} +(-0.357990 - 0.620057i) q^{86} +(-7.21197 - 4.16383i) q^{87} +5.36724i q^{88} +(-6.62306 - 1.77464i) q^{89} +(25.3697 - 1.85294i) q^{90} +(-1.49948 - 0.401784i) q^{91} +(-0.294891 + 0.510766i) q^{92} +(7.54630 - 13.0706i) q^{93} +(-19.4796 - 5.21954i) q^{94} +(5.78870 - 6.70091i) q^{95} +(7.01966 + 1.88091i) q^{96} +3.12991i q^{97} +(13.9832 + 8.07320i) q^{98} +(7.95933 + 13.7860i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$68 q - 4 q^{2} - 8 q^{3} - 30 q^{4} - 10 q^{5} - 8 q^{6} - 2 q^{7} + 12 q^{8} - 6 q^{10} + 14 q^{12} - 6 q^{13} - 8 q^{15} - 26 q^{16} + 12 q^{17} + 18 q^{18} + 4 q^{19} + 48 q^{20} - 12 q^{21} + 6 q^{22}+ \cdots + 32 q^{99}+O(q^{100})$ 68 * q - 4 * q^2 - 8 * q^3 - 30 * q^4 - 10 * q^5 - 8 * q^6 - 2 * q^7 + 12 * q^8 - 6 * q^10 + 14 * q^12 - 6 * q^13 - 8 * q^15 - 26 * q^16 + 12 * q^17 + 18 * q^18 + 4 * q^19 + 48 * q^20 - 12 * q^21 + 6 * q^22 - 12 * q^23 + 10 * q^25 - 24 * q^26 - 68 * q^27 - 26 * q^28 + 14 * q^29 + 10 * q^30 - 24 * q^31 - 16 * q^32 - 2 * q^33 - 10 * q^35 - 16 * q^37 - 36 * q^38 + 52 * q^39 + 42 * q^40 - 18 * q^41 + 132 * q^42 + 8 * q^43 - 36 * q^44 - 32 * q^45 - 52 * q^46 - 24 * q^47 - 60 * q^48 - 36 * q^49 - 8 * q^50 - 8 * q^51 - 26 * q^52 + 82 * q^53 + 40 * q^54 + 18 * q^55 + 16 * q^56 - 6 * q^57 + 86 * q^58 - 8 * q^59 + 36 * q^60 + 4 * q^61 + 10 * q^62 - 48 * q^63 - 20 * q^64 + 8 * q^65 + 80 * q^66 - 40 * q^67 + 8 * q^69 - 82 * q^70 + 4 * q^71 - 90 * q^72 - 60 * q^73 - 44 * q^74 + 64 * q^75 + 72 * q^76 + 66 * q^77 - 24 * q^78 + 56 * q^79 + 34 * q^80 - 6 * q^81 + 24 * q^83 - 20 * q^85 - 4 * q^86 - 84 * q^87 - 22 * q^89 - 50 * q^90 + 44 * q^91 + 44 * q^92 - 34 * q^93 - 20 * q^94 - 28 * q^95 - 8 * q^96 + 42 * q^98 + 32 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/185\mathbb{Z}\right)^\times$ .

$n$	$76$	$112$
$\chi(n)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{3}{4}\right)$

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

)

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

$2$	−0.775482	−	1.34317i	−0.548349	−	0.949768i	−0.998388	−	0.0567591i	$-0.981923\pi$
$2$	−0.775482	−	1.34317i	−0.548349	−	0.949768i	0.450039	−	0.893009i	$-0.351410\pi$
$3$	0.832043	+	3.10523i	0.480380	+	1.79280i	0.600019	+	0.799986i	$0.295160\pi$
$3$	0.832043	+	3.10523i	0.480380	+	1.79280i	−0.119638	+	0.992818i	$0.538174\pi$
$4$	−0.202746	+	0.351166i	−0.101373	+	0.175583i
$5$	1.84991	−	1.25612i	0.827303	−	0.561756i
$5$	1.84991	−	1.25612i	0.827303	−	0.561756i
$6$	3.52563	−	3.52563i	1.43933	−	1.43933i
$7$	1.07995	+	4.03042i	0.408182	+	1.52335i	0.798111	+	0.602510i	$0.205833\pi$
$7$	1.07995	+	4.03042i	0.408182	+	1.52335i	−0.389929	+	0.920845i	$0.627501\pi$
$8$	−2.47303			−0.874347
$9$	−6.35206	+	3.66736i	−2.11735	+	1.22245i
$10$	−3.12176	−	1.51064i	−0.987188	−	0.477708i
$11$		−	2.17031i		−	0.654374i	−0.944960	−	0.327187i	$-0.893899\pi$
$11$		−	2.17031i		−	0.654374i	0.944960	−	0.327187i	$-0.106101\pi$
$12$	−1.25914	−	0.337386i	−0.363483	−	0.0973950i
$13$	−0.186020	+	0.322197i	−0.0515928	+	0.0893613i	−0.890668	−	0.454653i	$-0.849763\pi$
$13$	−0.186020	+	0.322197i	−0.0515928	+	0.0893613i	0.839076	+	0.544015i	$0.183096\pi$
$14$	4.57608	−	4.57608i	1.22301	−	1.22301i
$15$	5.43975	+	4.69923i	1.40454	+	1.21334i
$16$	2.32328	+	4.02404i	0.580820	+	1.00601i
$17$	2.61037	−	1.50709i	0.633107	−	0.365524i	−0.148848	−	0.988860i	$-0.547556\pi$
$17$	2.61037	−	1.50709i	0.633107	−	0.365524i	0.781954	+	0.623336i	$0.214223\pi$
$18$	9.85182	+	5.68795i	2.32210	+	1.34066i
$19$	3.82515	−	1.02494i	0.877549	−	0.235138i	0.208200	−	0.978086i	$-0.433240\pi$
$19$	3.82515	−	1.02494i	0.877549	−	0.235138i	0.669349	+	0.742948i	$0.266573\pi$
$20$	0.0660477	+	0.904297i	0.0147687	+	0.202207i
$21$	−11.6168	+	6.70696i	−2.53499	+	1.46358i
$22$	−2.91511	+	1.68304i	−0.621504	+	0.358825i
$23$	1.45449			0.303282			0.151641	−	0.988436i	$-0.451544\pi$
$23$	1.45449			0.303282			0.151641	+	0.988436i	$0.451544\pi$
$24$	−2.05766	−	7.67931i	−0.420019	−	1.56753i
$25$	1.84430	−	4.64742i	0.368860	−	0.929485i
$26$	0.577022			0.113163
$27$	−9.85364	−	9.85364i	−1.89633	−	1.89633i
$28$	−1.63430	−	0.437909i	−0.308854	−	0.0827571i
$29$	−1.83172	+	1.83172i	−0.340142	+	0.340142i	−0.856421	−	0.516279i	$-0.827317\pi$
$29$	−1.83172	+	1.83172i	−0.340142	+	0.340142i	0.516279	+	0.856421i	$0.327317\pi$
$30$	2.09345	−	10.9507i	0.382210	−	1.99932i
$31$	−3.31971	−	3.31971i	−0.596237	−	0.596237i	0.343072	−	0.939309i	$-0.388532\pi$
$31$	−3.31971	−	3.31971i	−0.596237	−	0.596237i	−0.939309	+	0.343072i	$0.888532\pi$
$32$	1.13030	−	1.95773i	0.199810	−	0.346082i
$33$	6.73931	−	1.80579i	1.17316	−	0.314348i
$34$	−4.04858	−	2.33745i	−0.694326	−	0.400870i
$35$	7.06051	+	6.09934i	1.19344	+	1.03098i
$36$		−	2.97417i		−	0.495695i
$37$	−5.91963	−	1.39926i	−0.973182	−	0.230037i
$37$	−5.91963	−	1.39926i	−0.973182	−	0.230037i
$38$	−4.34301	−	4.34301i	−0.704530	−	0.704530i
$39$	−1.15527	−	0.309554i	−0.184991	−	0.0495683i
$40$	−4.57487	+	3.10643i	−0.723350	+	0.491170i
$41$	−6.50835	−	3.75760i	−1.01643	−	0.586838i	−0.103365	−	0.994644i	$-0.532961\pi$
$41$	−6.50835	−	3.75760i	−1.01643	−	0.586838i	−0.913069	+	0.407805i	$0.866294\pi$
$42$	18.0172	+	10.4023i	2.78012	+	1.60510i
$43$	0.461635			0.0703987			0.0351994	−	0.999380i	$-0.488793\pi$
$43$	0.461635			0.0703987			0.0351994	+	0.999380i	$0.488793\pi$
$44$	0.762140	+	0.440021i	0.114897	+	0.0663357i
$45$	−7.14405	+	14.7633i	−1.06497	+	2.20078i
$46$	−1.12793	−	1.95363i	−0.166304	−	0.288047i
$47$	9.19431	−	9.19431i	1.34113	−	1.34113i	0.446188	−	0.894939i	$-0.352781\pi$
$47$	9.19431	−	9.19431i	1.34113	−	1.34113i	0.894939	−	0.446188i	$-0.147219\pi$
$48$	−10.5625	+	10.5625i	−1.52456	+	1.52456i
$49$	−9.01581	+	5.20528i	−1.28797	+	0.743611i
$50$	−7.67253	+	1.12678i	−1.08506	+	0.159350i
$51$	6.85181	+	6.85181i	0.959445	+	0.959445i
$52$	−0.0754296	−	0.130648i	−0.0104602	−	0.0181176i
$53$	0.0494320	−	0.184483i	0.00679000	−	0.0253406i	−0.962448	−	0.271467i	$-0.912491\pi$
$53$	0.0494320	−	0.184483i	0.00679000	−	0.0253406i	0.969238	+	0.246126i	$0.0791579\pi$
$54$	−5.59384	+	20.8765i	−0.761225	+	2.84093i
$55$	−2.72618	−	4.01487i	−0.367599	−	0.541366i
$56$	−2.67074	−	9.96733i	−0.356892	−	1.33194i
$57$	6.36537	+	11.0251i	0.843114	+	1.46032i
$58$	3.88079	+	1.03985i	0.509572	+	0.136539i
$59$	2.33219	−	8.70387i	0.303626	−	1.13315i	−0.630496	−	0.776192i	$-0.717148\pi$
$59$	2.33219	−	8.70387i	0.303626	−	1.13315i	0.934122	−	0.356954i	$-0.116185\pi$
$60$	−2.75309	+	0.957507i	−0.355423	+	0.123614i
$61$	−0.701769	+	0.188038i	−0.0898523	+	0.0240758i	−0.303465	−	0.952843i	$-0.598144\pi$
$61$	−0.701769	+	0.188038i	−0.0898523	+	0.0240758i	0.213613	+	0.976918i	$0.431477\pi$
$62$	−1.88457	+	7.03332i	−0.239341	+	0.893233i
$63$	−21.6409	−	21.6409i	−2.72650	−	2.72650i
$64$	5.78701			0.723377
$65$	0.0605992	+	0.829698i	0.00751640	+	0.102911i
$66$	−7.65172	−	7.65172i	−0.941861	−	0.941861i
$67$	−10.5795	+	2.83478i	−1.29250	+	0.346323i	−0.838608	−	0.544735i	$-0.816630\pi$
$67$	−10.5795	+	2.83478i	−1.29250	+	0.346323i	−0.453888	+	0.891059i	$0.649963\pi$
$68$			1.22223i			0.148217i
$69$	1.21020	+	4.51652i	0.145691	+	0.543725i
$70$	2.71719	−	14.2134i	0.324766	−	1.69883i
$71$	0.479804	−	0.831045i	0.0569423	−	0.0986269i	−0.836149	−	0.548502i	$-0.815198\pi$
$71$	0.479804	−	0.831045i	0.0569423	−	0.0986269i	0.893091	+	0.449875i	$0.148532\pi$
$72$	15.7088	−	9.06949i	1.85130	−	1.06885i
$73$	−3.33340	+	3.33340i	−0.390145	+	0.390145i	−0.874739	−	0.484594i	$-0.838967\pi$
$73$	−3.33340	+	3.33340i	−0.390145	+	0.390145i	0.484594	+	0.874739i	$0.338967\pi$
$74$	2.71112	+	9.03621i	0.315161	+	1.05044i
$75$	15.9658	+	1.86012i	1.84358	+	0.214788i
$76$	−0.415606	+	1.55106i	−0.0476733	+	0.177919i
$77$	8.74727	−	2.34382i	0.996844	−	0.267104i
$78$	0.480107	+	1.79178i	0.0543614	+	0.202880i
$79$	9.10924	−	2.44081i	1.02487	−	0.274613i	0.293040	−	0.956100i	$-0.405333\pi$
$79$	9.10924	−	2.44081i	1.02487	−	0.274613i	0.731830	+	0.681487i	$0.238667\pi$
$80$	9.35254	+	4.52576i	1.04565	+	0.505996i
$81$	11.3970	−	19.7402i	1.26634	−	2.19336i
$82$			11.6558i			1.28717i
$83$	−2.62433	+	9.79413i	−0.288058	+	1.07505i	0.658518	+	0.752565i	$0.271183\pi$
$83$	−2.62433	+	9.79413i	−0.288058	+	1.07505i	−0.946576	+	0.322481i	$0.895483\pi$
$84$		−	5.43923i		−	0.593469i
$85$	2.93583	−	6.06693i	0.318435	−	0.658051i
$86$	−0.357990	−	0.620057i	−0.0386030	−	0.0668624i
$87$	−7.21197	−	4.16383i	−0.773205	−	0.446410i
$88$			5.36724i			0.572150i
$89$	−6.62306	−	1.77464i	−0.702043	−	0.188112i	−0.109897	−	0.993943i	$-0.535052\pi$
$89$	−6.62306	−	1.77464i	−0.702043	−	0.188112i	−0.592145	+	0.805831i	$0.701719\pi$
$90$	25.3697	−	1.85294i	2.67420	−	0.195317i
$91$	−1.49948	−	0.401784i	−0.157188	−	0.0421184i
$92$	−0.294891	+	0.510766i	−0.0307445	+	0.0532511i
$93$	7.54630	−	13.0706i	0.782515	−	1.35536i
$94$	−19.4796	−	5.21954i	−2.00917	−	0.538354i
$95$	5.78870	−	6.70091i	0.593908	−	0.687499i
$96$	7.01966	+	1.88091i	0.716441	+	0.191970i
$97$			3.12991i			0.317794i	0.987295	+	0.158897i	$0.0507938\pi$
$97$			3.12991i			0.317794i	−0.987295	+	0.158897i	$0.949206\pi$
$98$	13.9832	+	8.07320i	1.41252	+	0.815517i
$99$	7.95933	+	13.7860i	0.799943	+	1.38554i
$100$	1.25809	+	1.58990i	0.125809	+	0.158990i
$101$		−	0.106640i		−	0.0106111i	−0.999986	−	0.00530554i	$-0.998311\pi$
$101$		−	0.106640i		−	0.0106111i	0.999986	−	0.00530554i	$-0.00168881\pi$
$102$	3.88972	−	14.5166i	0.385140	−	1.43736i
$103$			10.4126i			1.02599i	0.858392	+	0.512994i	$0.171464\pi$
$103$			10.4126i			1.02599i	−0.858392	+	0.512994i	$0.828536\pi$
$104$	0.460033	−	0.796801i	0.0451100	−	0.0781328i
$105$	−13.0652	+	26.9994i	−1.27503	+	2.63487i
$106$	−0.286126	+	0.0766672i	−0.0277910	+	0.00744658i
$107$	1.85691	+	6.93007i	0.179514	+	0.669955i	0.995739	+	0.0922203i	$0.0293964\pi$
$107$	1.85691	+	6.93007i	0.179514	+	0.669955i	−0.816225	+	0.577734i	$0.803937\pi$
$108$	5.45804	−	1.46248i	0.525200	−	0.140727i
$109$	3.37101	−	12.5808i	0.322884	−	1.20502i	−0.593538	−	0.804806i	$-0.702269\pi$
$109$	3.37101	−	12.5808i	0.322884	−	1.20502i	0.916422	−	0.400213i	$-0.131064\pi$
$110$	−3.27857	+	6.77521i	−0.312599	+	0.645991i
$111$	−0.580363	−	19.5461i	−0.0550856	−	1.85523i
$112$	−13.7095	+	13.7095i	−1.29543	+	1.29543i
$113$	−7.00421	+	4.04388i	−0.658901	+	0.380417i	−0.791858	−	0.610705i	$-0.790886\pi$
$113$	−7.00421	+	4.04388i	−0.658901	+	0.380417i	0.132957	+	0.991122i	$0.457553\pi$
$114$	9.87247	−	17.0996i	0.924641	−	1.60153i
$115$	2.69067	−	1.82702i	0.250906	−	0.170370i
$116$	−0.271864	−	1.01461i	−0.0252419	−	0.0942042i
$117$		−	2.72882i		−	0.252279i
$118$	−13.4994	+	3.61715i	−1.24272	+	0.332986i
$119$	8.89328	+	8.89328i	0.815246	+	0.815246i
$120$	−13.4527	−	11.6213i	−1.22805	−	1.06088i
$121$	6.28974			0.571795
$122$	0.796778	+	0.796778i	0.0721369	+	0.0721369i
$123$	6.25297	−	23.3364i	0.563811	−	2.10417i
$124$	1.83882	−	0.492711i	0.165131	−	0.0442468i
$125$	−2.42596	−	10.9140i	−0.216985	−	0.976175i
$126$	−12.2854	+	45.8497i	−1.09447	+	4.08461i
$127$	−9.70404	−	2.60019i	−0.861094	−	0.230729i	−0.198861	−	0.980028i	$-0.563724\pi$
$127$	−9.70404	−	2.60019i	−0.861094	−	0.230729i	−0.662233	+	0.749298i	$0.730391\pi$
$128$	−6.74832	−	11.6884i	−0.596473	−	1.03312i
$129$	0.384100	+	1.43348i	0.0338182	+	0.126211i
$130$	1.06744	−	0.724812i	0.0936203	−	0.0635702i
$131$	−3.80218	+	14.1899i	−0.332198	+	1.23978i	0.574677	+	0.818381i	$0.305128\pi$
$131$	−3.80218	+	14.1899i	−0.332198	+	1.23978i	−0.906875	+	0.421400i	$0.861539\pi$
$132$	−0.732234	+	2.73273i	−0.0637328	+	0.237854i
$133$	8.26191	+	14.3101i	0.716399	+	1.24084i
$134$	12.0118	+	12.0118i	1.03767	+	1.03767i
$135$	−30.6057	−	5.85090i	−2.63412	−	0.503565i
$136$	−6.45550	+	3.72709i	−0.553555	+	0.319595i
$137$	4.80375	−	4.80375i	0.410412	−	0.410412i	−0.471470	−	0.881882i	$-0.656276\pi$
$137$	4.80375	−	4.80375i	0.410412	−	0.410412i	0.881882	+	0.471470i	$0.156276\pi$
$138$	5.12799	−	5.12799i	0.436523	−	0.436523i
$139$	11.5314	+	19.9729i	0.978077	+	1.69408i	0.669384	+	0.742917i	$0.266558\pi$
$139$	11.5314	+	19.9729i	0.978077	+	1.69408i	0.308693	+	0.951162i	$0.400108\pi$
$140$	−3.57337	+	1.24279i	−0.302005	+	0.105035i
$141$	36.2005	+	20.9003i	3.04863	+	1.76013i
$142$	−1.48832			−0.124897
$143$	0.699268	+	0.403722i	0.0584757	+	0.0337610i
$144$	−29.5152	−	17.0406i	−2.45960	−	1.42005i
$145$	−1.08764	+	5.68938i	−0.0903236	+	0.472477i
$146$	7.06234	+	1.89235i	0.584483	+	0.156612i
$147$	−23.6651	−	23.6651i	−1.95187	−	1.95187i
$148$	1.69155	−	1.79508i	0.139045	−	0.147555i
$149$			11.1717i			0.915220i	0.889153	+	0.457610i	$0.151294\pi$
$149$			11.1717i			0.915220i	−0.889153	+	0.457610i	$0.848706\pi$
$150$	−9.88277	−	22.8874i	−0.806925	−	1.86875i
$151$	−2.37742	−	1.37260i	−0.193472	−	0.111701i	0.400135	−	0.916456i	$-0.368963\pi$
$151$	−2.37742	−	1.37260i	−0.193472	−	0.111701i	−0.593607	+	0.804755i	$0.702297\pi$
$152$	−9.45969	+	2.53472i	−0.767282	+	0.205593i
$153$	−11.0541	+	19.1463i	−0.893674	+	1.54789i
$154$	−9.93152	−	9.93152i	−0.800305	−	0.800305i
$155$	−10.3111	−	1.97118i	−0.828208	−	0.158329i
$156$	0.342931	−	0.342931i	0.0274564	−	0.0274564i
$157$	6.93834	+	1.85912i	0.553740	+	0.148374i	0.524829	−	0.851208i	$-0.324129\pi$
$157$	6.93834	+	1.85912i	0.553740	+	0.148374i	0.0289111	+	0.999582i	$0.490796\pi$
$158$	−10.3425	−	10.3425i	−0.822804	−	0.822804i
$159$	0.613990			0.0486926
$160$	−0.368213	−	5.04142i	−0.0291098	−	0.398559i
$161$	1.57077	+	5.86220i	0.123794	+	0.462006i
$162$	−35.3528			−2.77758
$163$	−0.140611	+	0.0811818i	−0.0110135	+	0.00635865i	−0.505497	−	0.862829i	$-0.668691\pi$
$163$	−0.140611	+	0.0811818i	−0.0110135	+	0.00635865i	0.494483	+	0.869187i	$0.335357\pi$
$164$	2.63908	−	1.52367i	0.206077	−	0.118979i
$165$	10.1988	−	11.8060i	0.793975	−	0.919093i
$166$	15.1903	−	4.07024i	1.17900	−	0.315912i
$167$	11.9802	+	6.91676i	0.927055	+	0.535235i	0.885879	−	0.463917i	$-0.153556\pi$
$167$	11.9802	+	6.91676i	0.927055	+	0.535235i	0.0411758	+	0.999152i	$0.486890\pi$
$168$	28.7287	−	16.5865i	2.21646	−	1.27968i
$169$	6.43079	+	11.1385i	0.494676	+	0.856805i
$170$	−10.4256	+	0.761463i	−0.799609	+	0.0584015i
$171$	−20.5387	+	20.5387i	−1.57064	+	1.57064i
$172$	−0.0935945	+	0.162110i	−0.00713652	+	0.0123608i
$173$	−15.4610	−	4.14277i	−1.17548	−	0.314969i	−0.382347	−	0.924019i	$-0.624884\pi$
$173$	−15.4610	−	4.14277i	−1.17548	−	0.314969i	−0.793132	+	0.609050i	$0.791551\pi$
$174$			12.9159i			0.979153i
$175$	20.7228	+	2.41433i	1.56650	+	0.182506i
$176$	8.73342	−	5.04224i	0.658307	−	0.380073i
$177$	28.9680			2.17737
$178$	2.75241	+	10.2721i	0.206302	+	0.769929i
$179$	10.4070	−	10.4070i	0.777858	−	0.777858i	−0.201608	−	0.979466i	$-0.564617\pi$
$179$	10.4070	−	10.4070i	0.777858	−	0.777858i	0.979466	+	0.201608i	$0.0646168\pi$
$180$	−3.73593	−	5.50193i	−0.278460	−	0.410090i
$181$	11.4850	−	19.8925i	0.853670	−	1.47860i	−0.0242033	−	0.999707i	$-0.507705\pi$
$181$	11.4850	−	19.8925i	0.853670	−	1.47860i	0.877873	−	0.478893i	$-0.158962\pi$
$182$	0.623153	+	2.32564i	0.0461912	+	0.172388i
$183$	−1.16780	−	2.02270i	−0.0863265	−	0.149522i
$184$	−3.59699			−0.265174
$185$	−12.7084	+	4.84730i	−0.934341	+	0.356380i
$186$	−23.4081			−1.71637
$187$	−3.27087	−	5.66531i	−0.239190	−	0.414288i
$188$	1.36462	+	5.09283i	0.0995251	+	0.371433i
$189$	29.0729	−	50.3557i	2.11474	−	3.66284i
$190$	−13.4895	−	2.57880i	−0.978634	−	0.187086i
$191$	−6.64661	+	6.64661i	−0.480931	+	0.480931i	−0.905429	−	0.424498i	$-0.860451\pi$
$191$	−6.64661	+	6.64661i	−0.480931	+	0.480931i	0.424498	+	0.905429i	$0.360451\pi$
$192$	4.81505	+	17.9700i	0.347496	+	1.29687i
$193$	13.5429			0.974841			0.487420	−	0.873167i	$-0.337938\pi$
$193$	13.5429			0.974841			0.487420	+	0.873167i	$0.337938\pi$
$194$	4.20401	−	2.42719i	0.301830	−	0.174262i
$195$	−2.52598	+	0.878519i	−0.180889	+	0.0629120i
$196$		−	4.22139i		−	0.301528i
$197$	−11.4478	−	3.06743i	−0.815623	−	0.218546i	−0.173191	−	0.984888i	$-0.555408\pi$
$197$	−11.4478	−	3.06743i	−0.815623	−	0.218546i	−0.642432	+	0.766343i	$0.722074\pi$
$198$	12.3446	−	21.3815i	0.877295	−	1.51952i
$199$	7.49425	−	7.49425i	0.531253	−	0.531253i	−0.389692	−	0.920945i	$-0.627419\pi$
$199$	7.49425	−	7.49425i	0.531253	−	0.531253i	0.920945	+	0.389692i	$0.127419\pi$
$200$	−4.56101	+	11.4932i	−0.322512	+	0.812692i
$201$	−17.6053	−	30.4932i	−1.24178	−	2.15083i
$202$	−0.143236	+	0.0826974i	−0.0100781	+	0.00581857i
$203$	−9.36076	−	5.40444i	−0.656996	−	0.379317i
$204$	−3.79529	+	1.01695i	−0.265724	+	0.0712005i
$205$	−16.7598	+	1.22410i	−1.17056	+	0.0854948i
$206$	13.9860	−	8.07481i	0.974450	−	0.562599i
$207$	−9.23900	+	5.33414i	−0.642155	+	0.370748i
$208$	−1.72871			−0.119864
$209$	−2.22445	−	8.30177i	−0.153869	−	0.574245i
$210$	46.3967	−	3.38871i	3.20168	−	0.233843i
$211$	−14.6599			−1.00923			−0.504616	−	0.863344i	$-0.668366\pi$
$211$	−14.6599			−1.00923			−0.504616	+	0.863344i	$0.668366\pi$
$212$	0.0547618	+	0.0547618i	0.00376106	+	0.00376106i
$213$	2.97980	+	0.798435i	0.204173	+	0.0547079i
$214$	7.86829	−	7.86829i	0.537865	−	0.537865i
$215$	0.853982	−	0.579871i	0.0582411	−	0.0395469i
$216$	24.3683	+	24.3683i	1.65805	+	1.65805i
$217$	9.79470	−	16.9649i	0.664908	−	1.15165i
$218$	−19.5123	+	5.22831i	−1.32154	+	0.354106i
$219$	−13.1245	−	7.57744i	−0.886872	−	0.512036i
$220$	1.96261	−	0.143344i	0.132319	−	0.00966427i
$221$			1.12140i			0.0754336i
$222$	−25.8037	+	15.9371i	−1.73183	+	1.06963i
$223$	3.77596	+	3.77596i	0.252857	+	0.252857i	0.822141	−	0.569284i	$-0.192779\pi$
$223$	3.77596	+	3.77596i	0.252857	+	0.252857i	−0.569284	+	0.822141i	$0.692779\pi$
$224$	9.11115	+	2.44132i	0.608764	+	0.163118i
$225$	5.32869	+	36.2845i	0.355246	+	2.41896i
$226$	10.8633	+	6.27192i	0.722615	+	0.417202i
$227$	−10.2511	−	5.91849i	−0.680391	−	0.392824i	0.119611	−	0.992821i	$-0.461835\pi$
$227$	−10.2511	−	5.91849i	−0.680391	−	0.392824i	−0.800002	+	0.599997i	$0.795168\pi$
$228$	−5.16221			−0.341875
$229$	−10.1713	−	5.87243i	−0.672141	−	0.388061i	0.124746	−	0.992189i	$-0.460188\pi$
$229$	−10.1713	−	5.87243i	−0.672141	−	0.388061i	−0.796887	+	0.604128i	$0.793522\pi$
$230$	−4.54057	−	2.19721i	−0.299396	−	0.144880i
$231$	14.5562	+	25.2121i	0.957728	+	1.65883i
$232$	4.52989	−	4.52989i	0.297402	−	0.297402i
$233$	−15.5975	+	15.5975i	−1.02183	+	1.02183i	−0.0220706	+	0.999756i	$0.507026\pi$
$233$	−15.5975	+	15.5975i	−1.02183	+	1.02183i	−0.999756	+	0.0220706i	$0.992974\pi$
$234$	−3.66528	+	2.11615i	−0.239607	+	0.138337i
$235$	5.45940	−	28.5578i	0.356132	−	1.86290i
$236$	2.58366	+	2.58366i	0.168182	+	0.168182i
$237$	15.1586	+	26.2554i	0.984654	+	1.70547i
$238$	5.04865	−	18.8418i	0.327255	−	1.22133i
$239$	−4.07548	+	15.2099i	−0.263621	+	0.983846i	0.699468	+	0.714663i	$0.253420\pi$
$239$	−4.07548	+	15.2099i	−0.263621	+	0.983846i	−0.963089	+	0.269183i	$0.913247\pi$
$240$	−6.27180	+	32.8074i	−0.404843	+	2.11771i
$241$	2.51727	+	9.39459i	0.162152	+	0.605159i	0.998386	+	0.0567867i	$0.0180855\pi$
$241$	2.51727	+	9.39459i	0.162152	+	0.605159i	−0.836235	+	0.548372i	$0.815248\pi$
$242$	−4.87758	−	8.44822i	−0.313543	−	0.543072i
$243$	30.3998	+	8.14560i	1.95015	+	0.522540i
$244$	0.0762479	−	0.284561i	0.00488127	−	0.0182172i
$245$	−10.1399	+	20.9543i	−0.647815	+	1.33872i
$246$	−36.1939	+	9.69813i	−2.30764	+	0.618330i
$247$	−0.381321	+	1.42311i	−0.0242629	+	0.0905503i
$248$	8.20972	+	8.20972i	0.521318	+	0.521318i
$249$	−32.5966			−2.06572
$250$	−12.7781	+	11.7221i	−0.808156	+	0.741369i
$251$	−21.3201	−	21.3201i	−1.34571	−	1.34571i	−0.890263	−	0.455447i	$-0.849479\pi$
$251$	−21.3201	−	21.3201i	−1.34571	−	1.34571i	−0.455447	−	0.890263i	$-0.650521\pi$
$252$	11.9871	−	3.21195i	0.755119	−	0.202334i
$253$		−	3.15670i		−	0.198460i
$254$	4.03280	+	15.0506i	0.253040	+	0.944360i
$255$	21.2819	+	4.06847i	1.33273	+	0.254778i
$256$	−4.67940	+	8.10495i	−0.292462	+	0.506559i
$257$	−5.04941	+	2.91528i	−0.314974	+	0.181850i	−0.649150	−	0.760660i	$-0.724875\pi$
$257$	−5.04941	+	2.91528i	−0.314974	+	0.181850i	0.334176	+	0.942511i	$0.391542\pi$
$258$	1.62755	−	1.62755i	0.101327	−	0.101327i
$259$	−0.753280	−	25.3697i	−0.0468066	−	1.57640i
$260$	−0.303648	−	0.146937i	−0.0188314	−	0.00911267i
$261$	4.91761	−	18.3528i	0.304393	−	1.13601i
$262$	22.0081	−	5.89705i	1.35966	−	0.364321i
$263$	5.19979	+	19.4059i	0.320633	+	1.19662i	0.918630	+	0.395120i	$0.129297\pi$
$263$	5.19979	+	19.4059i	0.320633	+	1.19662i	−0.597997	+	0.801498i	$0.704036\pi$
$264$	−16.6665	+	4.46578i	−1.02575	+	0.274850i
$265$	−0.140289	−	0.403368i	−0.00861787	−	0.0247787i
$266$	12.8139	−	22.1944i	0.785673	−	1.36083i
$267$		−	22.0427i		−	1.34899i
$268$	1.14948	−	4.28991i	0.0702155	−	0.262048i
$269$			0.930688i			0.0567450i	0.999597	+	0.0283725i	$0.00903246\pi$
$269$			0.930688i			0.0567450i	−0.999597	+	0.0283725i	$0.990968\pi$
$270$	15.8754	+	45.6461i	0.966146	+	2.77793i
$271$	7.15555	+	12.3938i	0.434669	+	0.752868i	0.997269	−	0.0738613i	$-0.0235322\pi$
$271$	7.15555	+	12.3938i	0.434669	+	0.752868i	−0.562600	+	0.826729i	$0.690199\pi$
$272$	12.1292	+	7.00281i	0.735442	+	0.424607i
$273$		−	4.99053i		−	0.302040i
$274$	−10.1775	−	2.72705i	−0.614845	−	0.164747i
$275$	−10.0864	−	4.00271i	−0.608231	−	0.241373i
$276$	−1.83141	−	0.490724i	−0.110238	−	0.0295381i
$277$	−1.89779	+	3.28707i	−0.114027	+	0.197501i	−0.917391	−	0.397988i	$-0.869708\pi$
$277$	−1.89779	+	3.28707i	−0.114027	+	0.197501i	0.803363	+	0.595489i	$0.203042\pi$
$278$	17.8847	−	30.9772i	1.07265	−	1.85789i
$279$	33.2616	+	8.91241i	1.99132	+	0.533572i
$280$	−17.4608	−	15.0838i	−1.04348	−	0.901432i
$281$	4.91815	+	1.31781i	0.293392	+	0.0786142i	0.402513	−	0.915414i	$-0.368137\pi$
$281$	4.91815	+	1.31781i	0.293392	+	0.0786142i	−0.109121	+	0.994029i	$0.534804\pi$
$282$		−	64.8314i		−	3.86065i
$283$	−12.9217	−	7.46035i	−0.768115	−	0.443472i	0.0640865	−	0.997944i	$-0.479587\pi$
$283$	−12.9217	−	7.46035i	−0.768115	−	0.443472i	−0.832202	+	0.554473i	$0.812920\pi$
$284$	0.194556	+	0.336982i	0.0115448	+	0.0199962i
$285$	25.6243	+	12.3998i	1.51785	+	0.734500i
$286$		−	1.25232i		−	0.0740511i
$287$	8.11601	−	30.2894i	0.479073	−	1.78793i
$288$			16.5809i			0.977036i
$289$	−3.95733	+	6.85430i	−0.232784	+	0.403194i
$290$	8.48527	−	2.95112i	0.498272	−	0.173296i
$291$	−9.71907	+	2.60422i	−0.569742	+	0.152662i
$292$	−0.494744	−	1.84641i	−0.0289527	−	0.108053i
$293$	−1.46228	+	0.391817i	−0.0854275	+	0.0228902i	−0.301280	−	0.953536i	$-0.597414\pi$
$293$	−1.46228	+	0.391817i	−0.0854275	+	0.0228902i	0.215852	+	0.976426i	$0.430747\pi$
$294$	−13.4345	+	50.1383i	−0.783516	+	2.92412i
$295$	−6.61880	−	19.0309i	−0.385362	−	1.10802i
$296$	14.6394	+	3.46041i	0.850899	+	0.201132i
$297$	−21.3855	+	21.3855i	−1.24091	+	1.24091i
$298$	15.0055	−	8.66344i	0.869246	−	0.501860i
$299$	−0.270564	+	0.468631i	−0.0156471	+	0.0271017i
$300$	−3.89021	+	5.22953i	−0.224602	+	0.301927i
$301$	0.498542	+	1.86058i	0.0287355	+	0.107242i
$302$			4.25772i			0.245004i
$303$	0.331141	−	0.0887290i	0.0190236	−	0.00509735i
$304$	13.0113	+	13.0113i	0.746249	+	0.746249i
$305$	−1.06201	+	1.22936i	−0.0608103	+	0.0703931i
$306$	34.2891			1.96018
$307$	21.0899	+	21.0899i	1.20366	+	1.20366i	0.973044	+	0.230621i	$0.0740758\pi$
$307$	21.0899	+	21.0899i	1.20366	+	1.20366i	0.230621	+	0.973044i	$0.425924\pi$
$308$	−0.950400	+	3.54694i	−0.0541541	+	0.202106i
$309$	−32.3336	+	8.66376i	−1.83939	+	0.492864i
$310$	5.34845	+	15.3782i	0.303771	+	0.873425i
$311$	3.03440	−	11.3245i	0.172065	−	0.642156i	−0.824968	−	0.565180i	$-0.808807\pi$
$311$	3.03440	−	11.3245i	0.172065	−	0.642156i	0.997033	−	0.0769762i	$-0.0245265\pi$
$312$	2.85702	+	0.765535i	0.161747	+	0.0433399i
$313$	−3.22812	−	5.59126i	−0.182464	−	0.316037i	0.760255	−	0.649625i	$-0.225074\pi$
$313$	−3.22812	−	5.59126i	−0.182464	−	0.316037i	−0.942719	+	0.333588i	$0.891741\pi$
$314$	−2.88343	−	10.7611i	−0.162722	−	0.607285i
$315$	−67.2173	−	12.8500i	−3.78727	−	0.724013i
$316$	−0.989728	+	3.69372i	−0.0556766	+	0.207788i
$317$	5.73743	−	21.4124i	0.322246	−	1.20264i	−0.594805	−	0.803870i	$-0.702771\pi$
$317$	5.73743	−	21.4124i	0.322246	−	1.20264i	0.917051	−	0.398769i	$-0.130562\pi$
$318$	−0.476138	−	0.824696i	−0.0267005	−	0.0462466i
$319$	3.97540	+	3.97540i	0.222580	+	0.222580i
$320$	10.7054	−	7.26921i	0.598452	−	0.406361i
$321$	−19.9744	+	11.5322i	−1.11486	+	0.643666i
$322$	6.65585	−	6.65585i	0.370916	−	0.370916i
$323$	8.44034	−	8.44034i	0.469633	−	0.469633i
$324$	4.62140	+	8.00449i	0.256744	+	0.444694i
$325$	1.15431	+	1.45874i	0.0640294	+	0.0809165i
$326$	0.218083	+	0.125910i	0.0120785	+	0.00697352i
$327$	41.8710			2.31547
$328$	16.0953	+	9.29264i	0.888716	+	0.513100i
$329$	46.9863	+	27.1275i	2.59044	+	1.49559i
$330$	−23.7665	−	4.54344i	−1.30830	−	0.250108i
$331$	8.07555	+	2.16384i	0.443873	+	0.118935i	0.473831	−	0.880616i	$-0.342871\pi$
$331$	8.07555	+	2.16384i	0.443873	+	0.118935i	−0.0299583	+	0.999551i	$0.509537\pi$
$332$	−2.90729	−	2.90729i	−0.159558	−	0.159558i
$333$	42.7335	−	12.8213i	2.34178	−	0.702600i
$334$		−	21.4553i		−	1.17398i
$335$	−16.0103	+	18.5333i	−0.874737	+	1.01258i
$336$	−53.9782	−	31.1643i	−2.94475	−	1.70015i
$337$	−7.82004	+	2.09537i	−0.425985	+	0.114142i	−0.465441	−	0.885079i	$-0.654104\pi$
$337$	−7.82004	+	2.09537i	−0.425985	+	0.114142i	0.0394559	+	0.999221i	$0.487438\pi$
$338$	9.97393	−	17.2754i	0.542510	−	0.939656i
$339$	−18.3850	−	18.3850i	−0.998535	−	0.998535i
$340$	1.53527	+	2.26101i	0.0832617	+	0.122620i
$341$	−7.20480	+	7.20480i	−0.390162	+	0.390162i
$342$	43.5145	+	11.6597i	2.35299	+	0.630483i
$343$	−10.0628	−	10.0628i	−0.543338	−	0.543338i
$344$	−1.14164			−0.0615529
$345$	7.91206	+	6.83497i	0.425971	+	0.367982i
$346$	6.42528	+	23.9795i	0.345425	+	1.28915i
$347$	−26.0269			−1.39720			−0.698599	−	0.715513i	$-0.746193\pi$
$347$	−26.0269			−1.39720			−0.698599	+	0.715513i	$0.746193\pi$
$348$	2.92439	−	1.68840i	0.156764	−	0.0905077i
$349$	−2.63616	+	1.52199i	−0.141110	+	0.0814701i	−0.568893	−	0.822412i	$-0.692628\pi$
$349$	−2.63616	+	1.52199i	−0.141110	+	0.0814701i	0.427783	+	0.903882i	$0.359295\pi$
$350$	−12.8273	−	29.7066i	−0.685648	−	1.58789i
$351$	5.00779	−	1.34183i	0.267296	−	0.0716217i
$352$	−4.24889	−	2.45310i	−0.226467	−	0.130751i
$353$	−5.98486	+	3.45536i	−0.318542	+	0.183910i	−0.650743	−	0.759298i	$-0.725542\pi$
$353$	−5.98486	+	3.45536i	−0.318542	+	0.183910i	0.332200	+	0.943209i	$0.392209\pi$
$354$	−22.4641	−	38.9090i	−1.19396	−	2.06799i
$355$	−0.156304	−	2.14005i	−0.00829576	−	0.113582i
$356$	1.96599	−	1.96599i	0.104197	−	0.104197i
$357$	−20.2161	+	35.0152i	−1.06995	+	1.85320i
$358$	−22.0489	−	5.90799i	−1.16532	−	0.312247i
$359$		−	13.2822i		−	0.701008i	−0.936561	−	0.350504i	$-0.886010\pi$
$359$		−	13.2822i		−	0.701008i	0.936561	−	0.350504i	$-0.113990\pi$
$360$	17.6674	−	36.5099i	0.931155	−	1.92424i
$361$	−2.87325	+	1.65887i	−0.151224	+	0.0873090i
$362$	−35.6255			−1.87244
$363$	5.23333	+	19.5311i	0.274679	+	1.02512i
$364$	0.445106	−	0.445106i	0.0233299	−	0.0233299i
$365$	−1.97931	+	10.3536i	−0.103602	+	0.541935i
$366$	−1.81122	+	3.13713i	−0.0946741	+	0.163980i
$367$	5.20590	+	19.4287i	0.271746	+	1.01417i	0.957991	+	0.286799i	$0.0925911\pi$
$367$	5.20590	+	19.4287i	0.271746	+	1.01417i	−0.686245	+	0.727370i	$0.740742\pi$
$368$	3.37918	+	5.85292i	0.176152	+	0.305104i
$369$	55.1219			2.86953
$370$	16.3659	+	13.3106i	0.850823	+	0.691986i
$371$	0.796926			0.0413743
$372$	3.05996	+	5.30001i	0.158652	+	0.274793i
$373$	−0.271365	−	1.01275i	−0.0140507	−	0.0524380i	0.958545	−	0.284943i	$-0.0919746\pi$
$373$	−0.271365	−	1.01275i	−0.0140507	−	0.0524380i	−0.972595	+	0.232505i	$0.925308\pi$
$374$	−5.07300	+	8.78670i	−0.262319	+	0.454349i
$375$	31.8718	−	16.6141i	1.64585	−	0.857946i
$376$	−22.7378	+	22.7378i	−1.17261	+	1.17261i
$377$	−0.249437	−	0.930911i	−0.0128467	−	0.0479444i
$378$	−90.1820			−4.63846
$379$	13.4701	−	7.77696i	0.691912	−	0.399476i	−0.112416	−	0.993661i	$-0.535859\pi$
$379$	13.4701	−	7.77696i	0.691912	−	0.399476i	0.804328	+	0.594186i	$0.202526\pi$
$380$	1.17950	+	3.39137i	0.0605069	+	0.173974i
$381$		−	32.2967i		−	1.65461i
$382$	14.0819	+	3.77323i	0.720492	+	0.193055i
$383$	−2.12027	+	3.67241i	−0.108341	+	0.187651i	−0.915098	−	0.403231i	$-0.867887\pi$
$383$	−2.12027	+	3.67241i	−0.108341	+	0.187651i	0.806758	+	0.590883i	$0.201220\pi$
$384$	30.6804	−	30.6804i	1.56565	−	1.56565i
$385$	13.2375	−	15.3235i	0.674645	−	0.780959i
$386$	−10.5023	−	18.1905i	−0.534553	−	0.925872i
$387$	−2.93234	+	1.69298i	−0.149059	+	0.0860593i
$388$	−1.09912	−	0.634575i	−0.0557992	−	0.0322157i
$389$	−14.7360	+	3.94851i	−0.747146	+	0.200197i	−0.612252	−	0.790663i	$-0.709736\pi$
$389$	−14.7360	+	3.94851i	−0.747146	+	0.200197i	−0.134894	+	0.990860i	$0.543069\pi$
$390$	3.13886	+	2.71156i	0.158942	+	0.137305i
$391$	3.79675	−	2.19205i	0.192010	−	0.110857i
$392$	22.2963	−	12.8728i	1.12613	−	0.650174i
$393$	−47.2266			−2.38226
$394$	4.75748	+	17.7552i	0.239678	+	0.894492i
$395$	13.7853	−	15.9576i	0.693612	−	0.802915i
$396$	−6.45488			−0.324370
$397$	−6.05031	−	6.05031i	−0.303657	−	0.303657i	0.538786	−	0.842443i	$-0.318883\pi$
$397$	−6.05031	−	6.05031i	−0.303657	−	0.303657i	−0.842443	+	0.538786i	$0.818883\pi$
$398$	−15.8777	−	4.25443i	−0.795879	−	0.213255i
$399$	−37.5617	+	37.5617i	−1.88044	+	1.88044i
$400$	22.9862	−	3.37573i	1.14931	−	0.168786i
$401$	−8.64655	−	8.64655i	−0.431788	−	0.431788i	0.457448	−	0.889236i	$-0.348764\pi$
$401$	−8.64655	−	8.64655i	−0.431788	−	0.431788i	−0.889236	+	0.457448i	$0.848764\pi$
$402$	−27.3051	+	47.2939i	−1.36186	+	2.35880i
$403$	1.68713	−	0.452066i	0.0840420	−	0.0225190i
$404$	0.0374483	+	0.0216208i	0.00186312	+	0.00107567i
$405$	−3.71277	−	50.8337i	−0.184489	−	2.52595i
$406$			16.7642i			0.831992i
$407$	−3.03684	+	12.8475i	−0.150530	+	0.636825i
$408$	−16.9447	−	16.9447i	−0.838888	−	0.838888i
$409$	4.20165	+	1.12583i	0.207758	+	0.0556686i	0.361197	−	0.932490i	$-0.382368\pi$
$409$	4.20165	+	1.12583i	0.207758	+	0.0556686i	−0.153439	+	0.988158i	$0.549035\pi$
$410$	14.6411	+	21.5621i	0.723074	+	1.06488i
$411$	18.9137	+	10.9198i	0.932942	+	0.538634i
$412$	−3.65656	−	2.11112i	−0.180146	−	0.104007i
$413$	37.5989			1.85012
$414$	14.3294	+	8.27306i	0.704250	+	0.406599i
$415$	7.44789	+	21.4147i	0.365602	+	1.05121i
$416$	0.420517	+	0.728356i	0.0206175	+	0.0357106i
$417$	−52.4258	+	52.4258i	−2.56730	+	2.56730i
$418$	−9.42570	+	9.42570i	−0.461026	+	0.461026i
$419$	2.15841	−	1.24616i	0.105445	−	0.0608788i	−0.446350	−	0.894858i	$-0.647276\pi$
$419$	2.15841	−	1.24616i	0.105445	−	0.0608788i	0.551795	+	0.833980i	$0.313943\pi$
$420$	−6.83235	−	10.0621i	−0.333385	−	0.490978i
$421$	−13.5065	−	13.5065i	−0.658265	−	0.658265i	0.296704	−	0.954969i	$-0.404112\pi$
$421$	−13.5065	−	13.5065i	−0.658265	−	0.658265i	−0.954969	+	0.296704i	$0.904112\pi$
$422$	11.3685	+	19.6909i	0.553411	+	0.958536i
$423$	−24.6839	+	92.1217i	−1.20017	+	4.47911i
$424$	−0.122247	+	0.456230i	−0.00593682	+	0.0221565i
$425$	−2.18981	−	14.9110i	−0.106221	−	0.723290i
$426$	−1.23835	−	4.62157i	−0.0599980	−	0.223916i
$427$	−1.51575	−	2.62535i	−0.0733521	−	0.127050i
$428$	−2.81008	−	0.752959i	−0.135830	−	0.0363956i
$429$	−0.671829	+	2.50730i	−0.0324362	+	0.121054i
$430$	−1.44112	−	0.697366i	−0.0694968	−	0.0336300i
$431$	25.9052	−	6.94129i	1.24781	−	0.334350i	0.426321	−	0.904572i	$-0.359809\pi$
$431$	25.9052	−	6.94129i	1.24781	−	0.334350i	0.821491	+	0.570222i	$0.193143\pi$
$432$	16.7587	−	62.5442i	0.806301	−	3.00916i
$433$	−12.4207	−	12.4207i	−0.596902	−	0.596902i	0.342585	−	0.939487i	$-0.388698\pi$
$433$	−12.4207	−	12.4207i	−0.596902	−	0.596902i	−0.939487	+	0.342585i	$0.888698\pi$
$434$	−30.3825			−1.45841
$435$	−18.5718	+	1.35644i	−0.890448	+	0.0650362i
$436$	3.73448	+	3.73448i	0.178849	+	0.178849i
$437$	5.56363	−	1.49077i	0.266145	−	0.0713132i
$438$			23.5047i			1.12310i
$439$	−3.38942	−	12.6495i	−0.161768	−	0.603727i	−0.998430	−	0.0560075i	$-0.982163\pi$
$439$	−3.38942	−	12.6495i	−0.161768	−	0.603727i	0.836662	−	0.547719i	$-0.184504\pi$
$440$	6.74193	+	9.92889i	0.321409	+	0.473341i
$441$	38.1793	−	66.1285i	1.81806	−	3.14898i
$442$	1.50624	−	0.869627i	0.0716444	−	0.0413639i
$443$	0.485132	−	0.485132i	0.0230493	−	0.0230493i	−0.695488	−	0.718538i	$-0.744812\pi$
$443$	0.485132	−	0.485132i	0.0230493	−	0.0230493i	0.718538	+	0.695488i	$0.244812\pi$
$444$	6.98157	+	3.75907i	0.331331	+	0.178398i
$445$	−14.4812	+	5.03647i	−0.686475	+	0.238751i
$446$	2.14359	−	7.99997i	0.101502	−	0.378810i
$447$	−34.6906	+	9.29532i	−1.64081	+	0.439653i
$448$	6.24967	+	23.3241i	0.295269	+	1.10196i
$449$	−14.3950	+	3.85712i	−0.679341	+	0.182029i	−0.581959	−	0.813218i	$-0.697714\pi$
$449$	−14.3950	+	3.85712i	−0.679341	+	0.182029i	−0.0973822	+	0.995247i	$0.531047\pi$
$450$	44.6041	−	35.2953i	2.10266	−	1.66384i
$451$	−8.15516	+	14.1252i	−0.384012	+	0.665128i
$452$		−	3.27952i		−	0.154256i
$453$	2.28413	−	8.52449i	0.107318	−	0.400515i
$454$			18.3587i			0.861618i
$455$	−3.27859	+	1.14027i	−0.153703	+	0.0534567i
$456$	−15.7417	−	27.2655i	−0.737174	−	1.27682i
$457$	16.3157	+	9.41987i	0.763216	+	0.440643i	0.830449	−	0.557094i	$-0.188084\pi$
$457$	16.3157	+	9.41987i	0.763216	+	0.440643i	−0.0672332	+	0.997737i	$0.521417\pi$
$458$			18.2158i			0.851171i
$459$	−40.5720	−	10.8712i	−1.89374	−	0.507425i
$460$	0.0960656	+	1.31529i	0.00447908	+	0.0613257i
$461$	12.4218	+	3.32842i	0.578542	+	0.155020i	0.536211	−	0.844084i	$-0.319855\pi$
$461$	12.4218	+	3.32842i	0.578542	+	0.155020i	0.0423309	+	0.999104i	$0.486522\pi$
$462$	22.5762	−	39.1031i	1.05034	−	1.81924i
$463$	18.9998	−	32.9086i	0.882996	−	1.52939i	0.0350030	−	0.999387i	$-0.488856\pi$
$463$	18.9998	−	32.9086i	0.882996	−	1.52939i	0.847993	−	0.530007i	$-0.177811\pi$
$464$	−11.6265	−	3.11531i	−0.539747	−	0.144625i
$465$	−2.45833	−	33.6584i	−0.114002	−	1.56087i
$466$	33.0458	+	8.85459i	1.53082	+	0.410181i
$467$		−	24.7489i		−	1.14524i	−0.819820	−	0.572622i	$-0.805926\pi$
$467$		−	24.7489i		−	1.14524i	0.819820	−	0.572622i	$-0.194074\pi$
$468$	0.958267	+	0.553256i	0.0442959	+	0.0255743i
$469$	−22.8507	−	39.5786i	−1.05515	−	1.82757i
$470$	−42.5918	+	14.8131i	−1.96461	+	0.683279i
$471$			23.0920i			1.06402i
$472$	−5.76758	+	21.5249i	−0.265474	+	0.990764i
$473$		−	1.00189i		−	0.0460671i
$474$	23.5104	−	40.7212i	1.07987	−	1.87039i
$475$	2.29137	−	19.6674i	0.105135	−	0.902402i
$476$	−4.92609	+	1.31994i	−0.225787	+	0.0604994i
$477$	0.362570	+	1.35313i	0.0166009	+	0.0619556i
$478$	23.5900	−	6.32092i	1.07898	−	0.289112i
$479$	−6.64188	+	24.7878i	−0.303475	+	1.13259i	0.630775	+	0.775966i	$0.282737\pi$
$479$	−6.64188	+	24.7878i	−0.303475	+	1.13259i	−0.934250	+	0.356619i	$0.883929\pi$
$480$	15.3484	−	5.33806i	0.700554	−	0.243648i
$481$	1.55201	−	1.64700i	0.0707656	−	0.0750965i
$482$	10.6665	−	10.6665i	0.485845	−	0.485845i
$483$	−16.8965	+	9.75520i	−0.768818	+	0.443877i
$484$	−1.27522	+	2.20874i	−0.0579644	+	0.100397i
$485$	3.93155	+	5.79003i	0.178523	+	0.262912i
$486$	−12.6335	−	47.1490i	−0.573069	−	2.13872i
$487$		−	21.8694i		−	0.990998i	−0.868608	−	0.495499i	$-0.834985\pi$
$487$		−	21.8694i		−	0.990998i	0.868608	−	0.495499i	$-0.165015\pi$
$488$	1.73549	−	0.465024i	0.0785621	−	0.0210506i
$489$	−0.369082	−	0.369082i	−0.0166905	−	0.0166905i
$490$	36.0085	−	2.62998i	1.62670	−	0.118810i
$491$	−13.2615			−0.598483			−0.299242	−	0.954177i	$-0.596734\pi$
$491$	−13.2615			−0.598483			−0.299242	+	0.954177i	$0.596734\pi$
$492$	6.92718	+	6.92718i	0.312301	+	0.312301i
$493$	−2.02088	+	7.54203i	−0.0910159	+	0.339676i
$494$	2.20719	−	0.591416i	0.0993063	−	0.0266091i
$495$	32.0409	+	15.5048i	1.44013	+	0.696890i
$496$	5.64602	−	21.0712i	0.253514	−	0.946127i
$497$	3.86762	+	1.03633i	0.173487	+	0.0464856i
$498$	25.2780	+	43.7829i	1.13274	+	1.96196i
$499$	9.23613	+	34.4697i	0.413466	+	1.54308i	0.787888	+	0.615818i	$0.211174\pi$
$499$	9.23613	+	34.4697i	0.413466	+	1.54308i	−0.374422	+	0.927258i	$0.622159\pi$
$500$	4.32446	+	1.36084i	0.193396	+	0.0608588i
$501$	−11.5101	+	42.9562i	−0.514233	+	1.91914i
$502$	−12.1032	+	45.1699i	−0.540194	+	2.01603i
$503$	−13.4680	−	23.3272i	−0.600508	−	1.04011i	−0.992744	−	0.120246i	$-0.961632\pi$
$503$	−13.4680	−	23.3272i	−0.600508	−	1.04011i	0.392236	−	0.919865i	$-0.371702\pi$
$504$	53.5185	+	53.5185i	2.38391	+	2.38391i
$505$	−0.133953	−	0.197274i	−0.00596083	−	0.00877857i
$506$	−4.23999	+	2.44796i	−0.188491	+	0.108825i
$507$	−29.2367	+	29.2367i	−1.29845	+	1.29845i
$508$	2.88055	−	2.88055i	0.127804	−	0.127804i
$509$	3.92018	+	6.78995i	0.173759	+	0.300959i	0.939731	−	0.341914i	$-0.111075\pi$
$509$	3.92018	+	6.78995i	0.173759	+	0.300959i	−0.765972	+	0.642874i	$0.777742\pi$
$510$	−11.0391	−	31.7404i	−0.488819	−	1.40549i
$511$	−17.0349	−	9.83511i	−0.753580	−	0.435080i
$512$	−12.4781			−0.551461
$513$	−47.7910	−	27.5922i	−2.11003	−	1.21822i
$514$	7.83146	+	4.52150i	0.345431	+	0.199435i
$515$	13.0796	+	19.2624i	0.576355	+	0.848802i
$516$	−0.581264	−	0.155749i	−0.0255887	−	0.00685648i
$517$	−19.9545	−	19.9545i	−0.877599	−	0.877599i
$518$	−33.4918	+	20.6856i	−1.47155	+	0.908872i
$519$		−	51.4569i		−	2.25871i
$520$	−0.149863	−	2.05187i	−0.00657194	−	0.0899803i
$521$	8.21305	+	4.74181i	0.359820	+	0.207742i	0.669002	−	0.743261i	$-0.266722\pi$
$521$	8.21305	+	4.74181i	0.359820	+	0.207742i	−0.309182	+	0.951003i	$0.600055\pi$
$522$	−28.4645	+	7.62704i	−1.24586	+	0.333827i
$523$	−9.49329	+	16.4429i	−0.415113	+	0.718996i	−0.995440	−	0.0953869i	$-0.969591\pi$
$523$	−9.49329	+	16.4429i	−0.415113	+	0.718996i	0.580328	+	0.814383i	$0.302924\pi$
$524$	−4.21214	−	4.21214i	−0.184008	−	0.184008i
$525$	9.74523	+	66.3579i	0.425317	+	2.89609i
$526$	22.0331	−	22.0331i	0.960691	−	0.960691i
$527$	−13.6688	−	3.66253i	−0.595421	−	0.159542i
$528$	22.9239	+	22.9239i	0.997635	+	0.997635i
$529$	−20.8845			−0.908020
$530$	−0.433002	+	0.501237i	−0.0188084	+	0.0217723i
$531$	17.1060	+	63.8405i	0.742338	+	2.77044i
$532$	−6.70027			−0.290493
$533$	2.42137	−	1.39798i	0.104881	−	0.0605532i
$534$	−29.6072	+	17.0937i	−1.28123	+	0.739717i
$535$	12.1401	+	10.4875i	0.524864	+	0.453413i
$536$	26.1635	−	7.01048i	1.13009	−	0.302807i
$537$	40.9753	+	23.6571i	1.76821	+	1.02088i
$538$	1.25008	−	0.721732i	0.0538946	−	0.0311161i
$539$	11.2971	+	19.5671i	0.486600	+	0.842816i
$540$	8.25981	−	9.56143i	0.355445	−	0.411458i
$541$	27.2508	−	27.2508i	1.17160	−	1.17160i	0.189775	−	0.981828i	$-0.439224\pi$
$541$	27.2508	−	27.2508i	1.17160	−	1.17160i	0.981828	−	0.189775i	$-0.0607760\pi$
$542$	11.0980	−	19.2223i	0.476700	−	0.825668i
$543$	71.3268	+	19.1120i	3.06093	+	0.820173i
$544$		−	6.81386i		−	0.292142i
$545$	−9.56697	−	27.5076i	−0.409804	−	1.17830i
$546$	−6.70315	+	3.87006i	−0.286868	+	0.165623i
$547$	35.5804			1.52131			0.760653	−	0.649158i	$-0.224879\pi$
$547$	35.5804			1.52131			0.760653	+	0.649158i	$0.224879\pi$
$548$	0.712973	+	2.66085i	0.0304567	+	0.113666i
$549$	3.76807	−	3.76807i	0.160817	−	0.160817i
$550$	2.44546	+	16.6518i	0.104275	+	0.710034i
$551$	−5.12918	+	8.88401i	−0.218511	+	0.378471i
$552$	−2.99285	−	11.1695i	−0.127384	−	0.475404i
$553$	19.6750	+	34.0781i	0.836666	+	1.44915i
$554$	5.88682			0.250107
$555$	−25.6259	−	35.4293i	−1.08776	−	1.50389i
$556$	−9.35173			−0.396602
$557$	−22.1651	−	38.3911i	−0.939165	−	1.62668i	−0.767033	−	0.641608i	$-0.778268\pi$
$557$	−22.1651	−	38.3911i	−0.939165	−	1.62668i	−0.172132	−	0.985074i	$-0.555066\pi$
$558$	−13.8228	−	51.5875i	−0.585167	−	2.18387i
$559$	−0.0858735	+	0.148737i	−0.00363206	+	0.00629092i
$560$	−8.14046	+	42.5822i	−0.343997	+	1.79943i
$561$	14.8706	−	14.8706i	0.627836	−	0.627836i
$562$	−2.04388	−	7.62787i	−0.0862160	−	0.321762i
$563$	27.6526			1.16542			0.582710	−	0.812680i	$-0.301992\pi$
$563$	27.6526			1.16542			0.582710	+	0.812680i	$0.301992\pi$
$564$	−14.6790	+	8.47491i	−0.618096	+	0.356858i
$565$	−7.87751	+	16.2790i	−0.331409	+	0.684861i
$566$			23.1415i			0.972709i
$567$	91.8696	+	24.6164i	3.85816	+	1.03379i
$568$	−1.18657	+	2.05520i	−0.0497873	+	0.0862341i
$569$	8.31252	−	8.31252i	0.348479	−	0.348479i	−0.511064	−	0.859543i	$-0.670748\pi$
$569$	8.31252	−	8.31252i	0.348479	−	0.348479i	0.859543	+	0.511064i	$0.170748\pi$
$570$	−3.21612	−	44.0337i	−0.134708	−	1.84437i
$571$	−3.99555	−	6.92050i	−0.167209	−	0.289614i	0.770229	−	0.637768i	$-0.220142\pi$
$571$	−3.99555	−	6.92050i	−0.167209	−	0.289614i	−0.937437	+	0.348154i	$0.886809\pi$
$572$	−0.283547	+	0.163706i	−0.0118557	+	0.00684489i
$573$	−26.1695	−	15.1090i	−1.09325	−	0.631186i
$574$	−46.9778	+	12.5877i	−1.96081	+	0.525398i
$575$	2.68251	−	6.75963i	0.111869	−	0.281896i
$576$	−36.7595	+	21.2231i	−1.53164	+	0.884296i
$577$	−15.1952	+	8.77295i	−0.632584	+	0.365223i	−0.781752	−	0.623589i	$-0.785674\pi$
$577$	−15.1952	+	8.77295i	−0.632584	+	0.365223i	0.149168	+	0.988812i	$0.452340\pi$
$578$	12.2754			0.510588
$579$	11.2683	+	42.0538i	0.468294	+	1.74770i
$580$	−1.77740	−	1.53544i	−0.0738025	−	0.0637556i
$581$	−42.3086			−1.75526
$582$	11.0349	+	11.0349i	0.457411	+	0.457411i
$583$	−0.400385	−	0.107283i	−0.0165823	−	0.00444320i
$584$	8.24359	−	8.24359i	0.341122	−	0.341122i
$585$	−3.42774	−	5.04806i	−0.141719	−	0.208711i
$586$	1.66025	+	1.66025i	0.0685844	+	0.0685844i
$587$	1.89900	−	3.28916i	0.0783800	−	0.135758i	−0.824171	−	0.566341i	$-0.808359\pi$
$587$	1.89900	−	3.28916i	0.0783800	−	0.135758i	0.902551	+	0.430583i	$0.141692\pi$
$588$	13.1084	−	3.51238i	0.540580	−	0.144848i
$589$	−16.1009	−	9.29585i	−0.663425	−	0.383029i
$590$	−20.4290	+	23.6483i	−0.841049	+	0.973585i
$591$		−	38.1003i		−	1.56724i
$592$	−8.12228	−	27.0717i	−0.333824	−	1.11264i
$593$	−13.7978	−	13.7978i	−0.566606	−	0.566606i	0.364570	−	0.931176i	$-0.381216\pi$
$593$	−13.7978	−	13.7978i	−0.566606	−	0.566606i	−0.931176	+	0.364570i	$0.881216\pi$
$594$	45.3085	+	12.1404i	1.85903	+	0.498126i
$595$	27.6228	+	5.28066i	1.13242	+	0.216486i
$596$	−3.92311	−	2.26501i	−0.160697	−	0.0927784i
$597$	29.5069	+	17.0358i	1.20764	+	0.697229i
$598$	0.839272			0.0343204
$599$	31.9153	+	18.4263i	1.30403	+	0.752879i	0.981092	−	0.193543i	$-0.0619978\pi$
$599$	31.9153	+	18.4263i	1.30403	+	0.752879i	0.322933	+	0.946422i	$0.395331\pi$
$600$	−39.4840	−	4.60012i	−1.61193	−	0.187799i
$601$	−4.55733	−	7.89352i	−0.185897	−	0.321983i	0.757981	−	0.652276i	$-0.226186\pi$
$601$	−4.55733	−	7.89352i	−0.185897	−	0.321983i	−0.943878	+	0.330293i	$0.892852\pi$
$602$	2.11248	−	2.11248i	0.0860982	−	0.0860982i
$603$	56.8057	−	56.8057i	2.31331	−	2.31331i
$604$	0.964022	−	0.556578i	0.0392255	−	0.0226469i
$605$	11.6354	−	7.90070i	0.473047	−	0.321209i
$606$	−0.375973	−	0.375973i	−0.0152728	−	0.0152728i
$607$	−7.51612	−	13.0183i	−0.305070	−	0.528396i	0.672207	−	0.740363i	$-0.265346\pi$
$607$	−7.51612	−	13.0183i	−0.305070	−	0.528396i	−0.977277	+	0.211967i	$0.932013\pi$
$608$	2.31699	−	8.64711i	0.0939662	−	0.350687i
$609$	8.99344	−	33.5640i	0.364433	−	1.36008i
$610$	2.47482	+	0.473111i	0.100202	+	0.0191557i
$611$	1.25205	+	4.67270i	0.0506524	+	0.189037i
$612$	−4.48235	−	7.76367i	−0.181188	−	0.313828i
$613$	8.97541	+	2.40495i	0.362513	+	0.0971352i	0.435478	−	0.900199i	$-0.356579\pi$
$613$	8.97541	+	2.40495i	0.362513	+	0.0971352i	−0.0729646	+	0.997335i	$0.523246\pi$
$614$	11.9726	−	44.6823i	0.483174	−	1.80323i
$615$	−17.7460	−	51.0246i	−0.715588	−	2.05751i
$616$	−21.6322	+	5.79634i	−0.871588	+	0.233541i
$617$	3.77320	−	14.0818i	0.151903	−	0.566911i	−0.847447	−	0.530880i	$-0.821862\pi$
$617$	3.77320	−	14.0818i	0.151903	−	0.566911i	0.999351	−	0.0360316i	$-0.0114717\pi$
$618$	36.7111	+	36.7111i	1.47674	+	1.47674i
$619$	26.2648			1.05567			0.527837	−	0.849346i	$-0.323003\pi$
$619$	26.2648			1.05567			0.527837	+	0.849346i	$0.323003\pi$
$620$	2.78274	−	3.22126i	0.111758	−	0.129369i
$621$	−14.3320	−	14.3320i	−0.575123	−	0.575123i
$622$	−17.5640	+	4.70625i	−0.704251	+	0.188703i
$623$		−	28.6102i		−	1.14624i
$624$	−1.43836	−	5.36803i	−0.0575805	−	0.214893i
$625$	−18.1971	−	17.1425i	−0.727884	−	0.685700i
$626$	−5.00669	+	8.67185i	−0.200108	+	0.346597i
$627$	23.9280	−	13.8149i	0.955593	−	0.551712i
$628$	−2.05958	+	2.05958i	−0.0821861	+	0.0821861i
$629$	−17.5612	+	5.26886i	−0.700212	+	0.210083i
$630$	34.8661	+	100.250i	1.38910	+	3.99404i
$631$	−5.87855	+	21.9390i	−0.234021	+	0.873379i	0.744566	+	0.667549i	$0.232656\pi$
$631$	−5.87855	+	21.9390i	−0.234021	+	0.873379i	−0.978588	+	0.205831i	$0.934010\pi$
$632$	−22.5274	+	6.03620i	−0.896091	+	0.240107i
$633$	−12.1977	−	45.5224i	−0.484815	−	1.80935i
$634$	−33.2098	+	8.89855i	−1.31893	+	0.353406i
$635$	−21.2177	+	7.37938i	−0.841999	+	0.292842i
$636$	−0.124484	+	0.215612i	−0.00493610	+	0.00854958i
$637$		−	3.87315i		−	0.153460i
$638$	2.25681	−	8.42252i	0.0893479	−	0.333451i
$639$			7.03847i			0.278437i
$640$	−27.1659	−	13.1458i	−1.07383	−	0.519632i
$641$	14.2444	+	24.6721i	0.562622	+	0.974490i	0.997267	+	0.0738875i	$0.0235406\pi$
$641$	14.2444	+	24.6721i	0.562622	+	0.974490i	−0.434645	+	0.900602i	$0.643126\pi$
$642$	30.9796	+	17.8861i	1.22267	+	0.705907i
$643$			31.7473i			1.25199i	0.779826	+	0.625996i	$0.215307\pi$
$643$			31.7473i			1.25199i	−0.779826	+	0.625996i	$0.784693\pi$
$644$	−2.37707	−	0.636934i	−0.0936697	−	0.0250987i
$645$	2.51118	+	2.16933i	0.0988777	+	0.0854172i
$646$	−17.8822	−	4.79152i	−0.703565	−	0.188520i
$647$	−11.7748	+	20.3945i	−0.462915	+	0.801792i	−0.999105	−	0.0423052i	$-0.986530\pi$
$647$	−11.7748	+	20.3945i	−0.462915	+	0.801792i	0.536190	+	0.844097i	$0.319863\pi$
$648$	−28.1852	+	48.8181i	−1.10722	+	1.91776i
$649$	−18.8901	−	5.06159i	−0.741502	−	0.198685i
$650$	1.06420	−	2.68167i	0.0417414	−	0.105184i
$651$	60.8295	+	16.2992i	2.38410	+	0.638817i
$652$		−	0.0658370i		−	0.00257838i
$653$	31.1291	+	17.9724i	1.21818	+	0.703315i	0.964528	−	0.263982i	$-0.0850358\pi$
$653$	31.1291	+	17.9724i	1.21818	+	0.703315i	0.253649	+	0.967296i	$0.418369\pi$
$654$	−32.4702	−	56.2400i	−1.26969	−	2.19916i
$655$	10.7907	+	31.0261i	0.421626	+	1.21229i
$656$		−	34.9198i		−	1.36339i
$657$	8.94918	−	33.3988i	0.349141	−	1.30301i
$658$		−	84.1477i		−	3.28042i
$659$	−15.7744	+	27.3220i	−0.614483	+	1.06432i	0.375992	+	0.926623i	$0.377302\pi$
$659$	−15.7744	+	27.3220i	−0.614483	+	1.06432i	−0.990475	+	0.137692i	$0.956031\pi$
$660$	2.07809	+	5.97507i	0.0808896	+	0.232579i
$661$	−25.7696	+	6.90493i	−1.00232	+	0.268571i	−0.722417	−	0.691458i	$-0.756969\pi$
$661$	−25.7696	+	6.90493i	−1.00232	+	0.268571i	−0.279903	+	0.960028i	$0.590302\pi$
$662$	−3.35604	−	12.5249i	−0.130436	−	0.486794i
$663$	−3.48221	+	0.933054i	−0.135238	+	0.0362368i
$664$	6.49004	−	24.2211i	0.251862	−	0.939963i
$665$	33.2590	+	16.0943i	1.28973	+	0.624108i
$666$	−50.3602	−	47.4559i	−1.95142	−	1.83888i
$667$	−2.66421	+	2.66421i	−0.103159	+	0.103159i
$668$	−4.85786	+	2.80469i	−0.187956	+	0.108517i
$669$	−8.58346	+	14.8670i	−0.331856	+	0.574791i
$670$	37.3092	+	7.13240i	1.44138	+	0.275549i
$671$	0.408102	+	1.52306i	0.0157546	+	0.0587970i
$672$			30.3235i			1.16975i
$673$	−17.6421	+	4.72719i	−0.680054	+	0.182220i	−0.582279	−	0.812989i	$-0.697839\pi$
$673$	−17.6421	+	4.72719i	−0.680054	+	0.182220i	−0.0977743	+	0.995209i	$0.531172\pi$
$674$	8.87876	+	8.87876i	0.341997	+	0.341997i
$675$	−63.9671	+	27.6210i	−2.46209	+	1.06313i
$676$	−5.21526			−0.200587
$677$	−4.45728	−	4.45728i	−0.171307	−	0.171307i	0.616246	−	0.787554i	$-0.288653\pi$
$677$	−4.45728	−	4.45728i	−0.171307	−	0.171307i	−0.787554	+	0.616246i	$0.788653\pi$
$678$	−10.4370	+	38.9515i	−0.400831	+	1.49592i
$679$	−12.6148	+	3.38013i	−0.484113	+	0.129718i
$680$	−7.26038	+	15.0037i	−0.278423	+	0.575365i
$681$	9.84887	−	36.7565i	0.377410	−	1.40851i
$682$	15.2645	+	4.09011i	0.584508	+	0.156619i
$683$	−0.0832112	−	0.144126i	−0.00318399	−	0.00551483i	0.864429	−	0.502755i	$-0.167680\pi$
$683$	−0.0832112	−	0.144126i	−0.00318399	−	0.00551483i	−0.867613	+	0.497240i	$0.834347\pi$
$684$	−3.04836	−	11.3766i	−0.116557	−	0.434996i
$685$	2.85237	−	14.9206i	0.108984	−	0.570086i
$686$	−5.71255	+	21.3195i	−0.218106	+	0.813983i
$687$	9.77222	−	36.4704i	0.372834	−	1.39143i
$688$	1.07251	+	1.85764i	0.0408890	+	0.0708218i
$689$	0.0502443	+	0.0502443i	0.00191416	+	0.00191416i
$690$	3.04490	−	15.9277i	0.115917	−	0.606356i
$691$	4.32835	−	2.49897i	0.164658	−	0.0950654i	−0.415407	−	0.909636i	$-0.636361\pi$
$691$	4.32835	−	2.49897i	0.164658	−	0.0950654i	0.580065	+	0.814571i	$0.303027\pi$
$692$	4.58945	−	4.58945i	0.174465	−	0.174465i
$693$	−46.9675	+	46.9675i	−1.78415	+	1.78415i
$694$	20.1834	+	34.9587i	0.766152	+	1.32701i
$695$	46.4204	+	22.4631i	1.76082	+	0.852076i
$696$	17.8354	+	10.2973i	0.676049	+	0.390317i
$697$	−22.6522			−0.858014
$698$	4.08859	+	2.36055i	0.154755	+	0.0893481i
$699$	−61.4116	−	35.4560i	−2.32280	−	1.34107i
$700$	−5.04929	+	6.78765i	−0.190845	+	0.256549i
$701$	16.1194	+	4.31919i	0.608822	+	0.163133i	0.550041	−	0.835137i	$-0.314612\pi$
$701$	16.1194	+	4.31919i	0.608822	+	0.163133i	0.0587810	+	0.998271i	$0.481279\pi$
$702$	−5.68576	−	5.68576i	−0.214595	−	0.214595i
$703$	−24.0776	+	0.714915i	−0.908105	+	0.0269635i
$704$		−	12.5596i		−	0.473359i
$705$	93.2209	−	6.80863i	3.51090	−	0.256428i
$706$	9.28231	+	5.35914i	0.349344	+	0.201694i
$707$	0.429804	−	0.115166i	0.0161644	−	0.00433125i
$708$	−5.87313	+	10.1726i	−0.220726	+	0.382308i
$709$	1.78823	+	1.78823i	0.0671583	+	0.0671583i	0.739888	−	0.672730i	$-0.234878\pi$
$709$	1.78823	+	1.78823i	0.0671583	+	0.0671583i	−0.672730	+	0.739888i	$0.734878\pi$
$710$	−2.75325	+	1.86951i	−0.103328	+	0.0701616i
$711$	−48.9111	+	48.9111i	−1.83431	+	1.83431i
$712$	16.3790	+	4.38874i	0.613829	+	0.164475i
$713$	−4.82848	−	4.82848i	−0.180828	−	0.180828i
$714$	62.7088			2.34682
$715$	1.80070	−	0.131519i	0.0673425	−	0.00491854i
$716$	1.54461	+	5.76457i	0.0577249	+	0.215432i
$717$	−50.6211			−1.89048
$718$	−17.8403	+	10.3001i	−0.665795	+	0.384397i
$719$	37.0250	−	21.3764i	1.38080	−	0.797205i	0.388546	−	0.921429i	$-0.372978\pi$
$719$	37.0250	−	21.3764i	1.38080	−	0.797205i	0.992254	+	0.124224i	$0.0396442\pi$
$720$	−76.0055	+	5.55126i	−2.83256	+	0.206883i
$721$	−41.9673	+	11.2451i	−1.56294	+	0.418789i
$722$	4.45631	+	2.57285i	0.165847	+	0.0957516i
$723$	−27.0778	+	15.6334i	−1.00704	+	0.581412i
$724$	4.65705	+	8.06625i	0.173078	+	0.299780i
$725$	5.13454	+	11.8910i	0.190692	+	0.441621i
$726$	22.1753	−	22.1753i	0.823002	−	0.823002i
$727$	−20.6361	+	35.7427i	−0.765349	+	1.32562i	0.174713	+	0.984619i	$0.444100\pi$
$727$	−20.6361	+	35.7427i	−0.765349	+	1.32562i	−0.940062	+	0.341004i	$0.889233\pi$
$728$	3.70825	+	0.993623i	0.137437	+	0.0368261i
$729$			32.7935i			1.21458i
$730$	15.4417	−	5.37051i	0.571522	−	0.198772i
$731$	1.20504	−	0.695728i	0.0445699	−	0.0257324i
$732$	0.947068			0.0350046
$733$	−11.5672	−	43.1692i	−0.427243	−	1.59449i	−0.758976	−	0.651118i	$-0.774300\pi$
$733$	−11.5672	−	43.1692i	−0.427243	−	1.59449i	0.331734	−	0.943373i	$-0.392366\pi$
$734$	22.0590	−	22.0590i	0.814214	−	0.814214i
$735$	−73.5046	−	14.0519i	−2.71126	−	0.518312i
$736$	1.64401	−	2.84750i	0.0605988	−	0.104960i
$737$	6.15236	+	22.9609i	0.226625	+	0.845776i
$738$	−42.7461	−	74.0384i	−1.57350	−	2.72539i
$739$	−19.7035			−0.724803			−0.362402	−	0.932022i	$-0.618043\pi$
$739$	−19.7035			−0.724803			−0.362402	+	0.932022i	$0.618043\pi$
$740$	0.874371	−	5.44553i	0.0321425	−	0.200182i
$741$	−4.73636			−0.173994
$742$	−0.618002	−	1.07041i	−0.0226876	−	0.0392960i
$743$	−0.144780	−	0.540326i	−0.00531146	−	0.0198226i	0.963219	−	0.268717i	$-0.0865996\pi$
$743$	−0.144780	−	0.540326i	−0.00531146	−	0.0198226i	−0.968531	+	0.248894i	$0.919933\pi$
$744$	−18.6622	+	32.3239i	−0.684190	+	1.18505i
$745$	14.0330	+	20.6666i	0.514130	+	0.757164i
$746$	−1.14986	+	1.14986i	−0.0420993	+	0.0420993i
$747$	−19.2487	−	71.8373i	−0.704275	−	2.62839i
$748$	2.65262			0.0969893
$749$	−25.9257	+	14.9682i	−0.947305	+	0.546927i
$750$	−47.0316	−	29.9255i	−1.71735	−	1.09273i
$751$			13.6763i			0.499056i	0.968368	+	0.249528i	$0.0802755\pi$
$751$			13.6763i			0.499056i	−0.968368	+	0.249528i	$0.919725\pi$
$752$	58.3592	+	15.6373i	2.12814	+	0.570233i
$753$	48.4644	−	83.9428i	1.76614	−	3.05905i
$754$	−1.05694	+	1.05694i	−0.0384916	+	0.0384916i
$755$	−6.12216	+	0.447148i	−0.222808	+	0.0162734i
$756$	11.7888	+	20.4188i	0.428754	+	0.742624i
$757$	26.0809	−	15.0578i	0.947926	−	0.547285i	0.0554901	−	0.998459i	$-0.482328\pi$
$757$	26.0809	−	15.0578i	0.947926	−	0.547285i	0.892436	+	0.451174i	$0.148995\pi$
$758$	−20.8916	−	12.0618i	−0.758818	−	0.438104i
$759$	9.80226	−	2.62651i	0.355799	−	0.0953362i
$760$	−14.3156	+	16.5715i	−0.519282	+	0.601113i
$761$	−25.1569	+	14.5244i	−0.911938	+	0.526507i	−0.881054	−	0.473015i	$-0.843165\pi$
$761$	−25.1569	+	14.5244i	−0.911938	+	0.526507i	−0.0308836	+	0.999523i	$0.509832\pi$
$762$	−43.3801	+	25.0455i	−1.57150	+	0.907304i
$763$	54.3463			1.96747
$764$	−0.986490	−	3.68163i	−0.0356899	−	0.133197i
$765$	3.60107	+	49.3043i	0.130197	+	1.78260i
$766$	6.57692			0.237634
$767$	2.37052	+	2.37052i	0.0855946	+	0.0855946i
$768$	−29.0612	−	7.78692i	−1.04865	−	0.280986i
$769$	−8.36905	+	8.36905i	−0.301796	+	0.301796i	−0.841716	−	0.539920i	$-0.818454\pi$
$769$	−8.36905	+	8.36905i	−0.301796	+	0.301796i	0.539920	+	0.841716i	$0.318454\pi$
$770$	−30.8476	−	5.89714i	−1.11167	−	0.212518i
$771$	−13.2539	−	13.2539i	−0.477329	−	0.477329i
$772$	−2.74577	+	4.75581i	−0.0988223	+	0.171165i
$773$	11.6490	−	3.12135i	0.418987	−	0.112267i	−0.0431651	−	0.999068i	$-0.513744\pi$
$773$	11.6490	−	3.12135i	0.418987	−	0.112267i	0.462152	+	0.886801i	$0.347077\pi$
$774$	4.54795	+	2.62576i	0.163473	+	0.0943810i
$775$	−21.5506	+	9.30555i	−0.774121	+	0.334265i
$776$		−	7.74034i		−	0.277862i
$777$	78.1520	−	23.4478i	2.80369	−	0.841186i
$778$	16.7311	+	16.7311i	0.599838	+	0.599838i
$779$	−28.7467	−	7.70266i	−1.02996	−	0.275976i
$780$	0.203626	−	1.06515i	0.00729097	−	0.0381386i
$781$	−1.80363	−	1.04133i	−0.0645389	−	0.0372615i
$782$	−5.88862	−	3.39980i	−0.210577	−	0.121576i
$783$	36.0982			1.29004
$784$	−41.8925	−	24.1866i	−1.49616	−	0.863809i
$785$	15.1706	−	5.27622i	0.541461	−	0.188316i
$786$	36.6234	+	63.4335i	1.30631	+	2.26260i
$787$	25.9763	−	25.9763i	0.925955	−	0.925955i	−0.0714865	−	0.997442i	$-0.522774\pi$
$787$	25.9763	−	25.9763i	0.925955	−	0.925955i	0.997442	+	0.0714865i	$0.0227743\pi$
$788$	3.39817	−	3.39817i	0.121055	−	0.121055i
$789$	−55.9332	+	32.2931i	−1.99128	+	1.14966i
$790$	−32.1241	−	6.14117i	−1.14292	−	0.218493i
$791$	−23.8627	−	23.8627i	−0.848461	−	0.848461i
$792$	−19.6836	−	34.0931i	−0.699428	−	1.21144i
$793$	0.0699579	−	0.261087i	0.00248428	−	0.00927145i
$794$	−3.43472	+	12.8185i	−0.121894	+	0.454913i
$795$	1.13582	−	0.771248i	0.0402835	−	0.0273533i
$796$	1.11230	+	4.15115i	0.0394243	+	0.147134i
$797$	−13.6517	−	23.6455i	−0.483569	−	0.837566i	0.516253	−	0.856436i	$-0.327326\pi$
$797$	−13.6517	−	23.6455i	−0.483569	−	0.837566i	−0.999822	+	0.0188700i	$0.993993\pi$
$798$	79.5804	+	21.3235i	2.81711	+	0.754843i
$799$	10.1438	−	37.8572i	0.358862	−	1.33929i
$800$	−7.01381	−	8.86362i	−0.247976	−	0.313376i
$801$	48.5783	−	13.0165i	1.71643	−	0.459916i
$802$	−4.90858	+	18.3191i	−0.173328	+	0.646869i
$803$	7.23453	+	7.23453i	0.255301	+	0.255301i
$804$	14.2776			0.503531
$805$	10.2694	+	8.87143i	0.361950	+	0.312677i
$806$	−1.91554	−	1.91554i	−0.0674722	−	0.0674722i
$807$	−2.89000	+	0.774372i	−0.101733	+	0.0272592i
$808$			0.263723i			0.00927776i
$809$	2.23198	+	8.32987i	0.0784723	+	0.292863i	0.993998	−	0.109396i	$-0.0348918\pi$
$809$	2.23198	+	8.32987i	0.0784723	+	0.292863i	−0.915526	+	0.402259i	$0.868225\pi$
$810$	−65.3993	+	44.4075i	−2.29790	+	1.56032i
$811$	5.24640	−	9.08703i	0.184226	−	0.319089i	−0.759089	−	0.650986i	$-0.774356\pi$
$811$	5.24640	−	9.08703i	0.184226	−	0.319089i	0.943315	+	0.331898i	$0.107689\pi$
$812$	3.79570	−	2.19145i	0.133203	−	0.0769049i
$813$	−32.5317	+	32.5317i	−1.14094	+	1.14094i
$814$	19.6114	−	5.88397i	0.687379	−	0.206233i
$815$	−0.158143	+	0.326804i	−0.00553950	+	0.0114474i
$816$	−11.6533	+	43.4906i	−0.407946	+	1.52248i
$817$	1.76582	−	0.473151i	0.0617783	−	0.0165534i
$818$	−1.74612	−	6.51661i	−0.0610516	−	0.227848i
$819$	10.9983	−	2.94698i	0.384311	−	0.102976i
$820$	2.96812	−	6.13366i	0.103651	−	0.214197i
$821$	−11.4849	+	19.8924i	−0.400824	+	0.694248i	−0.993826	−	0.110953i	$-0.964610\pi$
$821$	−11.4849	+	19.8924i	−0.400824	+	0.694248i	0.593001	+	0.805202i	$0.297943\pi$
$822$		−	33.8725i		−	1.18144i
$823$	14.1702	−	52.8840i	0.493943	−	1.84342i	−0.0419300	−	0.999121i	$-0.513351\pi$
$823$	14.1702	−	52.8840i	0.493943	−	1.84342i	0.535873	−	0.844299i	$-0.319983\pi$
$824$		−	25.7507i		−	0.897069i
$825$	4.03703	−	34.6509i	0.140551	−	1.20639i
$826$	−29.1573	−	50.5019i	−1.01451	−	1.75718i
$827$	12.7147	+	7.34082i	0.442133	+	0.255265i	0.704502	−	0.709702i	$-0.251170\pi$
$827$	12.7147	+	7.34082i	0.442133	+	0.255265i	−0.262369	+	0.964968i	$0.584504\pi$
$828$		−	4.32589i		−	0.150335i
$829$	20.7635	+	5.56356i	0.721146	+	0.193231i	0.600683	−	0.799487i	$-0.294895\pi$
$829$	20.7635	+	5.56356i	0.721146	+	0.193231i	0.120463	+	0.992718i	$0.461562\pi$
$830$	22.9880	−	26.6105i	0.797924	−	0.923665i
$831$	−11.7862	−	3.15809i	−0.408857	−	0.109553i
$832$	−1.07650	+	1.86456i	−0.0373210	+	0.0646419i
$833$	−15.6897	+	27.1754i	−0.543616	+	0.941570i
$834$	111.072	+	29.7617i	3.84612	+	1.03056i
$835$	30.8505	−	2.25325i	1.06763	−	0.0779769i
$836$	3.36629	+	0.901996i	0.116426	+	0.0311962i
$837$			65.4224i			2.26133i
$838$	−3.34762	−	1.93275i	−0.115641	−	0.0667656i
$839$	−10.8636	−	18.8162i	−0.375052	−	0.649609i	0.615283	−	0.788306i	$-0.289042\pi$
$839$	−10.8636	−	18.8162i	−0.375052	−	0.649609i	−0.990335	+	0.138697i	$0.955708\pi$
$840$	32.3106	−	66.7702i	1.11482	−	2.30379i
$841$			22.2896i			0.768607i
$842$	−7.66752	+	28.6156i	−0.264240	+	0.986158i
$843$			16.3684i			0.563759i
$844$	2.97224	−	5.14807i	0.102309	−	0.177204i
$845$	25.8877	+	12.5272i	0.890562	+	0.430949i
$846$	142.877	−	38.2839i	4.91223	−	1.31623i
$847$	6.79259	+	25.3503i	0.233396	+	0.871046i
$848$	0.857209	−	0.229689i	0.0294367	−	0.00788754i
$849$	12.4147	−	46.3321i	0.426070	−	1.59012i
$850$	−18.3299	+	14.5045i	−0.628712	+	0.497501i
$851$	−8.61004	−	2.03521i	−0.295148	−	0.0697661i
$852$	−0.884525	+	0.884525i	−0.0303033	+	0.0303033i
$853$	39.0120	−	22.5236i	1.33575	−	0.771194i	0.349573	−	0.936909i	$-0.386327\pi$
$853$	39.0120	−	22.5236i	1.33575	−	0.771194i	0.986174	+	0.165715i	$0.0529932\pi$
$854$	−2.35087	+	4.07182i	−0.0804451	+	0.139335i
$855$	−12.1955	+	63.7939i	−0.417077	+	2.18170i
$856$	−4.59218	−	17.1382i	−0.156957	−	0.585773i
$857$			30.2373i			1.03289i	0.856321	+	0.516444i	$0.172744\pi$
$857$			30.2373i			1.03289i	−0.856321	+	0.516444i	$0.827256\pi$
$858$	3.88873	−	1.04198i	0.132759	−	0.0355727i
$859$	4.95333	+	4.95333i	0.169005	+	0.169005i	0.786542	−	0.617537i	$-0.211869\pi$
$859$	4.95333	+	4.95333i	0.169005	+	0.169005i	−0.617537	+	0.786542i	$0.711869\pi$
$860$	0.0304900	+	0.417455i	0.00103970	+	0.0142351i
$861$	100.808			3.43554
$862$	−29.4124	−	29.4124i	−1.00179	−	1.00179i
$863$	−2.02516	+	7.55800i	−0.0689372	+	0.257277i	−0.991790	−	0.127875i	$-0.959184\pi$
$863$	−2.02516	+	7.55800i	−0.0689372	+	0.257277i	0.922853	+	0.385152i	$0.125851\pi$
$864$	−30.4283	+	8.15325i	−1.03519	+	0.277379i
$865$	−33.8052	+	11.7572i	−1.14941	+	0.399758i
$866$	−7.05116	+	26.3153i	−0.239608	+	0.894229i
$867$	−24.5768	−	6.58534i	−0.834672	−	0.223650i
$868$	3.97166	+	6.87913i	0.134807	+	0.233493i
$869$	−5.29733	−	19.7699i	−0.179700	−	0.670648i
$870$	16.2240	+	23.8932i	0.550045	+	0.810057i
$871$	1.05465	−	3.93602i	0.0357356	−	0.133367i
$872$	−8.33659	+	31.1126i	−0.282313	+	1.05360i
$873$	−11.4785	−	19.8814i	−0.388489	−	0.672882i
$874$	−6.31686	−	6.31686i	−0.213671	−	0.213671i
$875$	41.3679	−	21.5642i	1.39849	−	0.729001i
$876$	5.32187	−	3.07258i	0.179809	−	0.103813i
$877$	28.3951	−	28.3951i	0.958835	−	0.958835i	−0.0403503	−	0.999186i	$-0.512847\pi$
$877$	28.3951	−	28.3951i	0.958835	−	0.958835i	0.999186	+	0.0403503i	$0.0128474\pi$
$878$	−14.3620	+	14.3620i	−0.484695	+	0.484695i
$879$	−2.43336	−	4.21471i	−0.0820753	−	0.142159i
$880$	9.82232	−	20.2979i	0.331110	−	0.684244i
$881$	47.4583	+	27.4000i	1.59891	+	0.923131i	0.991698	+	0.128590i	$0.0410452\pi$
$881$	47.4583	+	27.4000i	1.59891	+	0.923131i	0.607211	+	0.794540i	$0.292288\pi$
$882$	−118.430			−3.98773
$883$	−11.6623	−	6.73321i	−0.392467	−	0.226591i	0.290762	−	0.956795i	$-0.406091\pi$
$883$	−11.6623	−	6.73321i	−0.392467	−	0.226591i	−0.683228	+	0.730205i	$0.739425\pi$
$884$	−0.393798	−	0.227359i	−0.0132448	−	0.00764692i
$885$	53.5880	−	36.3874i	1.80134	−	1.22315i
$886$	−1.02783	−	0.275406i	−0.0345306	−	0.00925245i
$887$	21.5186	+	21.5186i	0.722524	+	0.722524i	0.969119	−	0.246594i	$-0.0793115\pi$
$887$	21.5186	+	21.5186i	0.722524	+	0.722524i	−0.246594	+	0.969119i	$0.579312\pi$
$888$	1.43525	+	48.3379i	0.0481640	+	1.62211i
$889$		−	41.9194i		−	1.40593i
$890$	17.9948	+	15.5451i	0.603186	+	0.521073i
$891$	−42.8425	−	24.7351i	−1.43528	−	0.828658i
$892$	−2.09155	+	0.560429i	−0.0700302	+	0.0187645i
$893$	25.7459	−	44.5932i	0.861554	−	1.49226i
$894$	39.3872	+	39.3872i	1.31730	+	1.31730i
$895$	6.17949	−	32.3245i	0.206558	−	1.08049i
$896$	39.8215	−	39.8215i	1.33034	−	1.33034i
$897$	−1.68033	−	0.450243i	−0.0561045	−	0.0150332i
$898$	16.3438	+	16.3438i	0.545401	+	0.545401i
$899$	12.1615			0.405610
$900$	−13.8222	−	5.48526i	−0.460741	−	0.182842i
$901$	−0.148997	−	0.556066i	−0.00496382	−	0.0185252i
$902$	25.2967			0.842289
$903$	−5.36272	+	3.09617i	−0.178460	+	0.103034i
$904$	17.3216	−	10.0006i	0.576108	−	0.332616i
$905$	−3.74141	−	51.2258i	−0.124369	−	1.70280i
$906$	−13.2212	+	3.54260i	−0.439244	+	0.117695i
$907$	−44.5758	−	25.7359i	−1.48012	−	0.854545i	−0.480369	−	0.877067i	$-0.659497\pi$
$907$	−44.5758	−	25.7359i	−1.48012	−	0.854545i	−0.999746	+	0.0225216i	$0.992831\pi$
$908$	4.15674	−	2.39989i	0.137946	−	0.0796433i
$909$	0.391088	+	0.677384i	0.0129716	+	0.0224674i
$910$	4.07407	+	3.51946i	0.135054	+	0.116669i
$911$	−30.2208	+	30.2208i	−1.00126	+	1.00126i	−0.00125893	+	0.999999i	$0.500401\pi$
$911$	−30.2208	+	30.2208i	−1.00126	+	1.00126i	−0.999999	+	0.00125893i	$0.999599\pi$
$912$	−29.5771	+	51.2290i	−0.979395	+	1.69636i
$913$	21.2563	+	5.69562i	0.703482	+	0.188497i
$914$		−	29.2198i		−	0.966504i
$915$	−4.70108	−	2.27489i	−0.155413	−	0.0752055i
$916$	4.12439	−	2.38122i	0.136274	−	0.0786776i
$917$	−61.2975			−2.02422
$918$	16.8609	+	62.9257i	0.556492	+	2.07686i
$919$	22.2439	−	22.2439i	0.733760	−	0.733760i	−0.237603	−	0.971362i	$-0.576362\pi$
$919$	22.2439	−	22.2439i	0.733760	−	0.733760i	0.971362	+	0.237603i	$0.0763616\pi$
$920$	−6.65409	+	4.51827i	−0.219379	+	0.148963i
$921$	−47.9412	+	83.0367i	−1.57972	+	2.73615i
$922$	−5.16226	−	19.2658i	−0.170010	−	0.634486i
$923$	0.178507	+	0.309183i	0.00587562	+	0.0101769i
$924$	−11.8048			−0.388350
$925$	−17.4206	+	24.9304i	−0.572784	+	0.819706i
$926$	−58.9361			−1.93676
$927$	−38.1869	−	66.1417i	−1.25422	−	2.17238i
$928$	1.51563	+	5.65641i	0.0497530	+	0.185681i
$929$	17.4258	−	30.1824i	0.571723	−	0.990253i	−0.424667	−	0.905350i	$-0.639609\pi$
$929$	17.4258	−	30.1824i	0.571723	−	0.990253i	0.996389	−	0.0849029i	$-0.0270580\pi$
$930$	−43.3028	+	29.4035i	−1.41995	+	0.964179i
$931$	−29.1517	+	29.1517i	−0.955407	+	0.955407i
$932$	−2.31498	−	8.63964i	−0.0758298	−	0.283001i
$933$	37.6900			1.23392
$934$	−33.2421	+	19.1924i	−1.08772	+	0.627993i
$935$	−13.1671	−	6.37167i	−0.430611	−	0.208376i
$936$			6.74844i			0.220580i
$937$	−42.8463	−	11.4806i	−1.39973	−	0.375056i	−0.521481	−	0.853263i	$-0.674620\pi$
$937$	−42.8463	−	11.4806i	−1.39973	−	0.375056i	−0.878247	+	0.478207i	$0.841287\pi$
$938$	−35.4406	+	61.3849i	−1.15718	+	2.00429i
$939$	14.6762	−	14.6762i	0.478940	−	0.478940i
$940$	8.92165	+	7.70712i	0.290992	+	0.251379i
$941$	11.4650	+	19.8579i	0.373748	+	0.647350i	0.990139	−	0.140090i	$-0.0447392\pi$
$941$	11.4650	+	19.8579i	0.373748	+	0.647350i	−0.616391	+	0.787440i	$0.711406\pi$
$942$	31.0166	−	17.9074i	1.01057	−	0.583456i
$943$	−9.46632	−	5.46538i	−0.308266	−	0.177977i
$944$	40.4430	−	10.8367i	1.31631	−	0.352704i
$945$	−9.47096	−	129.672i	−0.308090	−	4.21824i
$946$	−1.34572	+	0.776950i	−0.0437530	+	0.0252608i
$947$	−19.1624	+	11.0634i	−0.622693	+	0.359512i	−0.777917	−	0.628367i	$-0.783724\pi$
$947$	−19.1624	+	11.0634i	−0.622693	+	0.359512i	0.155224	+	0.987879i	$0.450390\pi$
$948$	−12.2933			−0.399269
$949$	−0.453931	−	1.69409i	−0.0147352	−	0.0549925i
$950$	−28.1937	+	12.1740i	−0.914723	+	0.394977i
$951$	71.2641			2.31090
$952$	−21.9933	−	21.9933i	−0.712808	−	0.712808i
$953$	−10.3263	−	2.76692i	−0.334501	−	0.0896293i	0.0876591	−	0.996151i	$-0.472061\pi$
$953$	−10.3263	−	2.76692i	−0.334501	−	0.0896293i	−0.422160	+	0.906521i	$0.638728\pi$
$954$	1.53632	−	1.53632i	0.0497403	−	0.0497403i
$955$	−3.94663	+	20.6446i	−0.127710	+	0.668042i
$956$	−4.51491	−	4.51491i	−0.146023	−	0.146023i
$957$	−9.03683	+	15.6522i	−0.292119	+	0.505965i
$958$	38.4451	−	10.3013i	1.24210	−	0.332821i
$959$	24.5489	+	14.1733i	0.792726	+	0.457680i
$960$	31.4799	+	27.1945i	1.01601	+	0.877698i
$961$		−	8.95909i		−	0.289003i
$962$	−3.41576	−	0.807405i	−0.110128	−	0.0260318i
$963$	−37.2103	−	37.2103i	−1.19908	−	1.19908i
$964$	−3.80942	−	1.02073i	−0.122693	−	0.0328756i
$965$	25.0531	−	17.0116i	0.806488	−	0.547623i
$966$	26.2059	+	15.1300i	0.843160	+	0.486799i
$967$	20.9493	+	12.0951i	0.673684	+	0.388951i	0.797471	−	0.603357i	$-0.206171\pi$
$967$	20.9493	+	12.0951i	0.673684	+	0.388951i	−0.123787	+	0.992309i	$0.539504\pi$
$968$	−15.5547			−0.499947
$969$	33.2319	+	19.1864i	1.06756	+	0.616357i
$970$	4.72817	−	9.77083i	0.151813	−	0.313722i
$971$	−3.56909	−	6.18184i	−0.114537	−	0.198385i	0.803057	−	0.595902i	$-0.203205\pi$
$971$	−3.56909	−	6.18184i	−0.114537	−	0.198385i	−0.917595	+	0.397517i	$0.869872\pi$
$972$	−9.02388	+	9.02388i	−0.289441	+	0.289441i
$973$	−68.0459	+	68.0459i	−2.18145	+	2.18145i
$974$	−29.3745	+	16.9594i	−0.941218	+	0.543413i
$975$	−3.56930	+	4.79812i	−0.114309	+	0.153663i
$976$	−2.38708	−	2.38708i	−0.0764085	−	0.0764085i
$977$	24.3556	+	42.1852i	0.779205	+	1.34962i	0.932400	+	0.361427i	$0.117710\pi$
$977$	24.3556	+	42.1852i	0.779205	+	1.34962i	−0.153195	+	0.988196i	$0.548956\pi$
$978$	−0.209525	+	0.781959i	−0.00669988	+	0.0250043i
$979$	−3.85153	+	14.3741i	−0.123096	+	0.459399i
$980$	−5.30259	−	7.80917i	−0.169385	−	0.249455i
$981$	24.7254	+	92.2765i	0.789422	+	2.94616i
$982$	10.2841	+	17.8125i	0.328178	+	0.568420i
$983$	−7.90875	−	2.11914i	−0.252250	−	0.0675902i	0.130478	−	0.991451i	$-0.458349\pi$
$983$	−7.90875	−	2.11914i	−0.252250	−	0.0675902i	−0.382728	+	0.923861i	$0.625015\pi$
$984$	−15.4638	+	57.7115i	−0.492966	+	1.83978i
$985$	−25.0305	+	8.70542i	−0.797537	+	0.277378i
$986$	11.6974	−	3.13432i	0.372522	−	0.0998169i
$987$	−45.1425	+	168.474i	−1.43690	+	5.36260i
$988$	−0.422436	−	0.422436i	−0.0134395	−	0.0134395i
$989$	0.671443			0.0213507
$990$	−4.02147	−	55.0602i	−0.127811	−	1.74993i
$991$	36.8837	+	36.8837i	1.17165	+	1.17165i	0.981816	+	0.189834i	$0.0607948\pi$
$991$	36.8837	+	36.8837i	1.17165	+	1.17165i	0.189834	+	0.981816i	$0.439205\pi$
$992$	−10.2514	+	2.74684i	−0.325481	+	0.0872124i
$993$			26.8768i			0.852910i
$994$	−1.60731	−	5.99855i	−0.0509806	−	0.190262i
$995$	4.44994	−	23.2774i	0.141073	−	0.737942i
$996$	6.60881	−	11.4468i	0.209408	−	0.362705i
$997$	30.2437	−	17.4612i	0.957828	−	0.553002i	0.0623238	−	0.998056i	$-0.480149\pi$
$997$	30.2437	−	17.4612i	0.957828	−	0.553002i	0.895504	+	0.445054i	$0.146816\pi$
$998$	39.1364	−	39.1364i	1.23884	−	1.23884i
$999$	44.5421	+	72.1177i	1.40925	+	2.28170i

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

)

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	185.2.p.a.103.4	yes	68
5.2	odd	4		185.2.u.a.177.14	yes	68
5.3	odd	4		925.2.y.b.732.4		68
5.4	even	2		925.2.t.b.843.14		68
37.23	odd	12		185.2.u.a.23.14	yes	68
185.23	even	12		925.2.t.b.282.14		68
185.97	even	12	inner	185.2.p.a.97.4	✓	68
185.134	odd	12		925.2.y.b.393.4		68

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
185.2.p.a.97.4	✓	68	185.97	even	12	inner
185.2.p.a.103.4	yes	68	1.1	even	1	trivial
185.2.u.a.23.14	yes	68	37.23	odd	12
185.2.u.a.177.14	yes	68	5.2	odd	4
925.2.t.b.282.14		68	185.23	even	12
925.2.t.b.843.14		68	5.4	even	2
925.2.y.b.393.4		68	185.134	odd	12
925.2.y.b.732.4		68	5.3	odd	4

Overview	Random
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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

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Newspace parameters

Newform invariants

Embedding invariants

$q$ -expansion

Character values

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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	185.2.p.a.103.4

Level	$185$
Weight	$2$
Character	185.103
Analytic conductor	$1.477$
Analytic rank	$0$
Dimension	$68$
Inner twists	$2$