LMFDB - Embedded newform 966.2.bd.a.59.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(59,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 11, 42]))

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

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

chi := DirichletCharacter("966.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.bd (of order $66$, degree $20$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$1280$
Relative dimension:	$64$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			59.13
Character	$\chi$	$=$	966.59
Dual form			966.2.bd.a.131.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.945001 - 0.327068i) q^{2} +(-0.321085 + 1.70203i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-2.90323 + 0.277225i) q^{5} +(0.860105 - 1.50340i) q^{6} +(-2.41573 + 1.07900i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(-2.79381 - 1.09299i) q^{9} +O(q^{10})$	\(q+(-0.945001 - 0.327068i) q^{2} +(-0.321085 + 1.70203i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-2.90323 + 0.277225i) q^{5} +(0.860105 - 1.50340i) q^{6} +(-2.41573 + 1.07900i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(-2.79381 - 1.09299i) q^{9} +(2.83423 + 0.687576i) q^{10} +(4.25615 - 1.47307i) q^{11} +(-1.30451 + 1.13940i) q^{12} +(-0.966377 - 3.29118i) q^{13} +(2.63578 - 0.229543i) q^{14} +(0.460340 - 5.03040i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-6.79098 - 2.71870i) q^{17} +(2.28267 + 1.94664i) q^{18} +(1.36345 + 3.40572i) q^{19} +(-2.45346 - 1.57674i) q^{20} +(-1.06083 - 4.45810i) q^{21} -4.50385 q^{22} +(4.05460 + 2.56129i) q^{23} +(1.60543 - 0.650072i) q^{24} +(3.44225 - 0.663439i) q^{25} +(-0.163212 + 3.42624i) q^{26} +(2.75736 - 4.40420i) q^{27} +(-2.56589 - 0.645159i) q^{28} +(-2.30599 + 0.331552i) q^{29} +(-2.08030 + 4.60317i) q^{30} +(4.56750 - 0.217577i) q^{31} +(0.0950560 - 0.995472i) q^{32} +(1.14062 + 7.71707i) q^{33} +(5.52829 + 4.79029i) q^{34} +(6.71430 - 3.80227i) q^{35} +(-1.52044 - 2.58617i) q^{36} +(3.55943 - 4.99851i) q^{37} +(-0.174554 - 3.66435i) q^{38} +(5.91197 - 0.588053i) q^{39} +(1.80282 + 2.29247i) q^{40} +(-0.683268 + 1.49615i) q^{41} +(-0.455619 + 4.55987i) q^{42} +(-4.36957 - 2.80815i) q^{43} +(4.25615 + 1.47307i) q^{44} +(8.41407 + 2.39870i) q^{45} +(-2.99389 - 3.74655i) q^{46} +(4.81816 + 8.34530i) q^{47} +(-1.72975 + 0.0892343i) q^{48} +(4.67154 - 5.21313i) q^{49} +(-3.46992 - 0.498899i) q^{50} +(6.80779 - 10.6855i) q^{51} +(1.27485 - 3.18442i) q^{52} +(7.38074 + 7.74070i) q^{53} +(-4.04618 + 3.26013i) q^{54} +(-11.9482 + 5.45656i) q^{55} +(2.21375 + 1.44889i) q^{56} +(-6.23442 + 1.22710i) q^{57} +(2.28760 + 0.440900i) q^{58} +(-1.50759 + 6.21436i) q^{59} +(3.47144 - 3.66960i) q^{60} +(4.87552 - 9.45719i) q^{61} +(-4.38746 - 1.28827i) q^{62} +(7.92843 - 0.374128i) q^{63} +(-0.415415 + 0.909632i) q^{64} +(3.71801 + 9.28714i) q^{65} +(1.44612 - 7.66569i) q^{66} +(2.64876 - 0.510506i) q^{67} +(-3.65749 - 6.33495i) q^{68} +(-5.66126 + 6.07866i) q^{69} +(-7.58863 + 1.39712i) q^{70} +(4.78585 - 4.14697i) q^{71} +(0.590963 + 2.94122i) q^{72} +(-1.46609 + 1.86428i) q^{73} +(-4.99851 + 3.55943i) q^{74} +(0.0239374 + 6.07183i) q^{75} +(-1.03354 + 3.51990i) q^{76} +(-8.69228 + 8.15090i) q^{77} +(-5.77915 - 1.37791i) q^{78} +(-1.19437 - 1.13883i) q^{79} +(-0.953873 - 2.75603i) q^{80} +(6.61073 + 6.10723i) q^{81} +(1.13503 - 1.19039i) q^{82} +(-2.58348 - 5.65703i) q^{83} +(1.92195 - 4.16006i) q^{84} +(20.4695 + 6.01038i) q^{85} +(3.21079 + 4.08285i) q^{86} +(0.176110 - 4.03132i) q^{87} +(-3.54027 - 2.78410i) q^{88} +(0.385113 - 8.08452i) q^{89} +(-7.16677 - 5.01874i) q^{90} +(5.88568 + 6.90789i) q^{91} +(1.60385 + 4.51970i) q^{92} +(-1.09624 + 7.84389i) q^{93} +(-1.82369 - 9.46219i) q^{94} +(-4.90255 - 9.50961i) q^{95} +(1.66380 + 0.481420i) q^{96} +(-12.2316 - 5.58597i) q^{97} +(-6.11965 + 3.39851i) q^{98} +(-13.5009 - 0.536473i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1280 q - 64 q^{4} + 4 q^{9}+O(q^{10}) $ 1280 * q - 64 * q^4 + 4 * q^9	$ 1280 q - 64 q^{4} + 4 q^{9} + 16 q^{15} + 64 q^{16} - 44 q^{18} + 120 q^{21} - 16 q^{22} - 12 q^{24} + 56 q^{25} + 32 q^{30} - 24 q^{33} + 8 q^{36} - 44 q^{37} - 20 q^{39} + 4 q^{42} + 136 q^{43} + 12 q^{45} + 12 q^{46} + 92 q^{49} + 4 q^{51} - 36 q^{54} - 56 q^{57} - 28 q^{58} + 8 q^{60} + 72 q^{61} - 134 q^{63} + 128 q^{64} + 24 q^{67} - 72 q^{70} - 44 q^{72} - 72 q^{73} + 48 q^{75} - 16 q^{78} - 72 q^{79} + 40 q^{81} + 48 q^{82} - 10 q^{84} - 32 q^{85} + 222 q^{87} - 8 q^{88} - 8 q^{91} - 16 q^{93} + 72 q^{94} - 12 q^{96} - 68 q^{99}+O(q^{100}) $ 1280 * q - 64 * q^4 + 4 * q^9 + 16 * q^15 + 64 * q^16 - 44 * q^18 + 120 * q^21 - 16 * q^22 - 12 * q^24 + 56 * q^25 + 32 * q^30 - 24 * q^33 + 8 * q^36 - 44 * q^37 - 20 * q^39 + 4 * q^42 + 136 * q^43 + 12 * q^45 + 12 * q^46 + 92 * q^49 + 4 * q^51 - 36 * q^54 - 56 * q^57 - 28 * q^58 + 8 * q^60 + 72 * q^61 - 134 * q^63 + 128 * q^64 + 24 * q^67 - 72 * q^70 - 44 * q^72 - 72 * q^73 + 48 * q^75 - 16 * q^78 - 72 * q^79 + 40 * q^81 + 48 * q^82 - 10 * q^84 - 32 * q^85 + 222 * q^87 - 8 * q^88 - 8 * q^91 - 16 * q^93 + 72 * q^94 - 12 * q^96 - 68 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{11}\right)$

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 $

$2$	−0.945001	−	0.327068i	−0.668216	−	0.231272i
$2$	−0.945001	−	0.327068i	−0.668216	−	0.231272i
$3$	−0.321085	+	1.70203i	−0.185379	+	0.982667i
$3$	−0.321085	+	1.70203i	−0.185379	+	0.982667i
$4$	0.786053	+	0.618159i	0.393027	+	0.309079i
$5$	−2.90323	+	0.277225i	−1.29836	+	0.123979i	−0.721244	−	0.692681i	$-0.756429\pi$
$5$	−2.90323	+	0.277225i	−1.29836	+	0.123979i	−0.577120	+	0.816660i	$0.695823\pi$
$6$	0.860105	−	1.50340i	0.351136	−	0.613762i
$7$	−2.41573	+	1.07900i	−0.913061	+	0.407822i
$7$	−2.41573	+	1.07900i	−0.913061	+	0.407822i
$8$	−0.540641	−	0.841254i	−0.191145	−	0.297428i
$9$	−2.79381	−	1.09299i	−0.931269	−	0.364331i
$10$	2.83423	+	0.687576i	0.896261	+	0.217431i
$11$	4.25615	−	1.47307i	1.28328	−	0.444146i	0.401519	−	0.915851i	$-0.368482\pi$
$11$	4.25615	−	1.47307i	1.28328	−	0.444146i	0.881757	+	0.471704i	$0.156361\pi$
$12$	−1.30451	+	1.13940i	−0.376581	+	0.328918i
$13$	−0.966377	−	3.29118i	−0.268025	−	0.912808i	−0.978004	−	0.208586i	$-0.933114\pi$
$13$	−0.966377	−	3.29118i	−0.268025	−	0.912808i	0.709979	−	0.704223i	$-0.248704\pi$
$14$	2.63578	−	0.229543i	0.704441	−	0.0613480i
$15$	0.460340	−	5.03040i	0.118859	−	1.29884i
$16$	0.235759	+	0.971812i	0.0589397	+	0.242953i
$17$	−6.79098	−	2.71870i	−1.64706	−	0.659382i	−0.651956	−	0.758257i	$-0.726051\pi$
$17$	−6.79098	−	2.71870i	−1.64706	−	0.659382i	−0.995100	+	0.0988752i	$0.968476\pi$
$18$	2.28267	+	1.94664i	0.538030	+	0.458829i
$19$	1.36345	+	3.40572i	0.312796	+	0.781326i	0.998567	+	0.0535093i	$0.0170407\pi$
$19$	1.36345	+	3.40572i	0.312796	+	0.781326i	−0.685772	+	0.727817i	$0.740535\pi$
$20$	−2.45346	−	1.57674i	−0.548611	−	0.352571i
$21$	−1.06083	−	4.45810i	−0.231491	−	0.972837i
$22$	−4.50385			−0.960225
$23$	4.05460	+	2.56129i	0.845443	+	0.534065i
$23$	4.05460	+	2.56129i	0.845443	+	0.534065i
$24$	1.60543	−	0.650072i	0.327707	−	0.132695i
$25$	3.44225	−	0.663439i	0.688449	−	0.132688i
$26$	−0.163212	+	3.42624i	−0.0320085	+	0.671940i
$27$	2.75736	−	4.40420i	0.530654	−	0.847589i
$28$	−2.56589	−	0.645159i	−0.484907	−	0.121924i
$29$	−2.30599	+	0.331552i	−0.428212	+	0.0615676i	−0.353052	−	0.935604i	$-0.614856\pi$
$29$	−2.30599	+	0.331552i	−0.428212	+	0.0615676i	−0.0751604	+	0.997171i	$0.523947\pi$
$30$	−2.08030	+	4.60317i	−0.379810	+	0.840419i
$31$	4.56750	−	0.217577i	0.820348	−	0.0390780i	0.366789	−	0.930304i	$-0.380457\pi$
$31$	4.56750	−	0.217577i	0.820348	−	0.0390780i	0.453559	+	0.891226i	$0.350154\pi$
$32$	0.0950560	−	0.995472i	0.0168037	−	0.175976i
$33$	1.14062	+	7.71707i	0.198556	+	1.34337i
$34$	5.52829	+	4.79029i	0.948093	+	0.821528i
$35$	6.71430	−	3.80227i	1.13492	−	0.642702i
$36$	−1.52044	−	2.58617i	−0.253406	−	0.431028i
$37$	3.55943	−	4.99851i	0.585166	−	0.821751i	−0.410777	−	0.911736i	$-0.634743\pi$
$37$	3.55943	−	4.99851i	0.585166	−	0.821751i	0.995943	+	0.0899851i	$0.0286819\pi$
$38$	−0.174554	−	3.66435i	−0.0283165	−	0.594436i
$39$	5.91197	−	0.588053i	0.946673	−	0.0941639i
$40$	1.80282	+	2.29247i	0.285051	+	0.362472i
$41$	−0.683268	+	1.49615i	−0.106709	+	0.233659i	−0.955452	−	0.295145i	$-0.904632\pi$
$41$	−0.683268	+	1.49615i	−0.106709	+	0.233659i	0.848744	+	0.528804i	$0.177359\pi$
$42$	−0.455619	+	4.55987i	−0.0703036	+	0.703603i
$43$	−4.36957	−	2.80815i	−0.666353	−	0.428239i	0.163256	−	0.986584i	$-0.447800\pi$
$43$	−4.36957	−	2.80815i	−0.666353	−	0.428239i	−0.829609	+	0.558345i	$0.811437\pi$
$44$	4.25615	+	1.47307i	0.641638	+	0.222073i
$45$	8.41407	+	2.39870i	1.25430	+	0.357577i
$46$	−2.99389	−	3.74655i	−0.441425	−	0.552399i
$47$	4.81816	+	8.34530i	0.702801	+	1.21729i	0.967479	+	0.252951i	$0.0814011\pi$
$47$	4.81816	+	8.34530i	0.702801	+	1.21729i	−0.264678	+	0.964337i	$0.585266\pi$
$48$	−1.72975	+	0.0892343i	−0.249668	+	0.0128799i
$49$	4.67154	−	5.21313i	0.667362	−	0.744733i
$50$	−3.46992	−	0.498899i	−0.490720	−	0.0705549i
$51$	6.80779	−	10.6855i	0.953282	−	1.49627i
$52$	1.27485	−	3.18442i	0.176790	−	0.441599i
$53$	7.38074	+	7.74070i	1.01382	+	1.06327i	0.997989	+	0.0633920i	$0.0201918\pi$
$53$	7.38074	+	7.74070i	1.01382	+	1.06327i	0.0158340	+	0.999875i	$0.494960\pi$
$54$	−4.04618	+	3.26013i	−0.550615	+	0.443647i
$55$	−11.9482	+	5.45656i	−1.61109	+	0.735762i
$56$	2.21375	+	1.44889i	0.295825	+	0.193617i
$57$	−6.23442	+	1.22710i	−0.825769	+	0.162533i
$58$	2.28760	+	0.440900i	0.300377	+	0.0578930i
$59$	−1.50759	+	6.21436i	−0.196271	+	0.809040i	0.785483	+	0.618884i	$0.212415\pi$
$59$	−1.50759	+	6.21436i	−0.196271	+	0.809040i	−0.981754	+	0.190157i	$0.939100\pi$
$60$	3.47144	−	3.66960i	0.448160	−	0.473743i
$61$	4.87552	−	9.45719i	0.624246	−	1.21087i	−0.338629	−	0.940920i	$-0.609963\pi$
$61$	4.87552	−	9.45719i	0.624246	−	1.21087i	0.962875	−	0.269948i	$-0.0870067\pi$
$62$	−4.38746	−	1.28827i	−0.557208	−	0.163611i
$63$	7.92843	−	0.374128i	0.998888	−	0.0471357i
$64$	−0.415415	+	0.909632i	−0.0519269	+	0.113704i
$65$	3.71801	+	9.28714i	0.461162	+	1.15193i
$66$	1.44612	−	7.66569i	0.178005	−	0.943581i
$67$	2.64876	−	0.510506i	0.323597	−	0.0623682i	−0.0248658	−	0.999691i	$-0.507916\pi$
$67$	2.64876	−	0.510506i	0.323597	−	0.0623682i	0.348463	+	0.937323i	$0.386704\pi$
$68$	−3.65749	−	6.33495i	−0.443535	−	0.768226i
$69$	−5.66126	+	6.07866i	−0.681536	+	0.731785i
$70$	−7.58863	+	1.39712i	−0.907014	+	0.166988i
$71$	4.78585	−	4.14697i	0.567976	−	0.492154i	−0.322880	−	0.946440i	$-0.604651\pi$
$71$	4.78585	−	4.14697i	0.567976	−	0.492154i	0.890856	+	0.454286i	$0.150105\pi$
$72$	0.590963	+	2.94122i	0.0696456	+	0.346626i
$73$	−1.46609	+	1.86428i	−0.171593	+	0.218198i	−0.864242	−	0.503077i	$-0.832201\pi$
$73$	−1.46609	+	1.86428i	−0.171593	+	0.218198i	0.692649	+	0.721275i	$0.256444\pi$
$74$	−4.99851	+	3.55943i	−0.581065	+	0.413775i
$75$	0.0239374	+	6.07183i	0.00276405	+	0.701114i
$76$	−1.03354	+	3.51990i	−0.118555	+	0.403761i
$77$	−8.69228	+	8.15090i	−0.990577	+	0.928881i
$78$	−5.77915	−	1.37791i	−0.654360	−	0.156017i
$79$	−1.19437	−	1.13883i	−0.134377	−	0.128128i	0.619911	−	0.784673i	$-0.287169\pi$
$79$	−1.19437	−	1.13883i	−0.134377	−	0.128128i	−0.754287	+	0.656545i	$0.772017\pi$
$80$	−0.953873	−	2.75603i	−0.106646	−	0.308134i
$81$	6.61073	+	6.10723i	0.734526	+	0.678581i
$82$	1.13503	−	1.19039i	0.125343	−	0.131456i
$83$	−2.58348	−	5.65703i	−0.283574	−	0.620940i	0.713221	−	0.700939i	$-0.247236\pi$
$83$	−2.58348	−	5.65703i	−0.283574	−	0.620940i	−0.996795	+	0.0799990i	$0.974508\pi$
$84$	1.92195	−	4.16006i	0.209702	−	0.453900i
$85$	20.4695	+	6.01038i	2.22023	+	0.651917i
$86$	3.21079	+	4.08285i	0.346229	+	0.440265i
$87$	0.176110	−	4.03132i	0.0188809	−	0.432203i
$88$	−3.54027	−	2.78410i	−0.377394	−	0.296786i
$89$	0.385113	−	8.08452i	0.0408219	−	0.856957i	−0.881887	−	0.471460i	$-0.843727\pi$
$89$	0.385113	−	8.08452i	0.0408219	−	0.856957i	0.922709	−	0.385497i	$-0.125970\pi$
$90$	−7.16677	−	5.01874i	−0.755444	−	0.529022i
$91$	5.88568	+	6.90789i	0.616987	+	0.724144i
$92$	1.60385	+	4.51970i	0.167213	+	0.471211i
$93$	−1.09624	+	7.84389i	−0.113674	+	0.813373i
$94$	−1.82369	−	9.46219i	−0.188099	−	0.975950i
$95$	−4.90255	−	9.50961i	−0.502991	−	0.975666i
$96$	1.66380	+	0.481420i	0.169811	+	0.0491347i
$97$	−12.2316	−	5.58597i	−1.24193	−	0.567170i	−0.317403	−	0.948291i	$-0.602811\pi$
$97$	−12.2316	−	5.58597i	−1.24193	−	0.567170i	−0.924525	+	0.381121i	$0.875538\pi$
$98$	−6.11965	+	3.39851i	−0.618178	+	0.343301i
$99$	−13.5009	−	0.536473i	−1.35689	−	0.0539176i
$100$	3.11590	+	1.60636i	0.311590	+	0.160636i
$101$	13.4699	+	1.28622i	1.34030	+	0.127983i	0.740441	−	0.672122i	$-0.234617\pi$
$101$	13.4699	+	1.28622i	1.34030	+	0.127983i	0.599860	+	0.800105i	$0.295223\pi$
$102$	−9.92826	+	7.87122i	−0.983044	+	0.779366i
$103$	−0.809928	+	4.20231i	−0.0798046	+	0.414066i	0.919953	+	0.392030i	$0.128227\pi$
$103$	−0.809928	+	4.20231i	−0.0798046	+	0.414066i	−0.999757	+	0.0220360i	$0.992985\pi$
$104$	−2.24625	+	2.59231i	−0.220263	+	0.254197i
$105$	4.31572	+	12.6488i	0.421171	+	1.23440i
$106$	−4.44307	−	9.72897i	−0.431549	−	0.944961i
$107$	3.50805	−	6.80467i	0.339136	−	0.657832i	−0.656170	−	0.754613i	$-0.727824\pi$
$107$	3.50805	−	6.80467i	0.339136	−	0.657832i	0.995306	+	0.0967813i	$0.0308547\pi$
$108$	4.88993	−	1.75745i	0.470533	−	0.169111i
$109$	8.31136	+	3.32737i	0.796084	+	0.318704i	0.733810	−	0.679355i	$-0.237740\pi$
$109$	8.31136	+	3.32737i	0.796084	+	0.318704i	0.0622743	+	0.998059i	$0.480165\pi$
$110$	13.0757	−	1.24858i	1.24672	−	0.119047i
$111$	7.36474	+	7.66320i	0.699030	+	0.727358i
$112$	−1.61811	−	2.09325i	−0.152897	−	0.197794i
$113$	13.8483	−	11.9996i	1.30274	−	1.12883i	0.319289	−	0.947657i	$-0.396556\pi$
$113$	13.8483	−	11.9996i	1.30274	−	1.12883i	0.983451	−	0.181174i	$-0.0579896\pi$
$114$	6.29288	+	0.879472i	0.589382	+	0.0823701i
$115$	−12.4815	−	6.31197i	−1.16391	−	0.588594i
$116$	−2.01758	−	1.16485i	−0.187328	−	0.108154i
$117$	−0.897363	+	10.2512i	−0.0829612	+	0.947720i
$118$	3.45719	−	5.37949i	0.318260	−	0.495222i
$119$	19.3387	−	0.759790i	1.77277	−	0.0696499i
$120$	−4.48072	+	2.33237i	−0.409032	+	0.212916i
$121$	7.29827	−	5.73942i	0.663479	−	0.521766i
$122$	−7.70051	+	7.34242i	−0.697172	+	0.664752i
$123$	−2.32710	−	1.64333i	−0.209828	−	0.148174i
$124$	3.72480	+	2.65242i	0.334497	+	0.238194i
$125$	4.18179	−	1.22788i	0.374030	−	0.109825i
$126$	−7.61474	−	2.23958i	−0.678375	−	0.199518i
$127$	2.03046	−	2.34327i	0.180174	−	0.207932i	−0.658477	−	0.752601i	$-0.728799\pi$
$127$	2.03046	−	2.34327i	0.180174	−	0.207932i	0.838651	+	0.544669i	$0.183345\pi$
$128$	0.690079	−	0.723734i	0.0609949	−	0.0639697i
$129$	6.18256	−	6.53548i	0.544344	−	0.575417i
$130$	−0.475997	−	9.99240i	−0.0417477	−	0.876391i
$131$	−0.635845	−	2.62099i	−0.0555540	−	0.228997i	0.937266	−	0.348615i	$-0.113348\pi$
$131$	−0.635845	−	2.62099i	−0.0555540	−	0.228997i	−0.992820	+	0.119619i	$0.961833\pi$
$132$	−3.87379	+	6.77111i	−0.337170	+	0.589349i
$133$	−6.96848	−	6.75616i	−0.604244	−	0.585834i
$134$	−2.67005	−	0.383895i	−0.230657	−	0.0331635i
$135$	−6.78429	+	13.5508i	−0.583899	+	1.16627i
$136$	1.38437	+	7.18278i	0.118709	+	0.615918i
$137$	−13.1653	−	7.60096i	−1.12478	−	0.649394i	−0.182166	−	0.983268i	$-0.558311\pi$
$137$	−13.1653	−	7.60096i	−1.12478	−	0.649394i	−0.942618	+	0.333874i	$0.891644\pi$
$138$	7.33803	−	3.89272i	0.624655	−	0.331371i
$139$		−	22.3008i		−	1.89153i	−0.324851	−	0.945765i	$-0.605314\pi$
$139$		−	22.3008i		−	1.89153i	0.324851	−	0.945765i	$-0.394686\pi$
$140$	7.62821	+	1.16172i	0.644701	+	0.0981831i
$141$	−15.7510	+	5.52110i	−1.32647	+	0.464961i
$142$	−5.87898	+	2.35359i	−0.493353	+	0.197509i
$143$	−8.96116	−	12.5842i	−0.749370	−	1.05234i
$144$	0.403518	−	2.97274i	0.0336265	−	0.247728i
$145$	6.60291	−	1.60185i	0.548342	−	0.133026i
$146$	1.99520	−	1.28224i	0.165124	−	0.106119i
$147$	7.37294	+	9.62495i	0.608110	+	0.793853i
$148$	5.88777	−	1.72881i	0.483972	−	0.142107i
$149$	1.44872	−	7.51668i	0.118684	−	0.615790i	−0.873066	−	0.487602i	$-0.837872\pi$
$149$	1.44872	−	7.51668i	0.118684	−	0.615790i	0.991750	−	0.128188i	$-0.0409161\pi$
$150$	1.96328	−	5.74571i	0.160301	−	0.469135i
$151$	1.85013	−	7.62633i	0.150561	−	0.620622i	−0.845656	−	0.533728i	$-0.820791\pi$
$151$	1.85013	−	7.62633i	0.150561	−	0.620622i	0.996218	−	0.0868939i	$-0.0276941\pi$
$152$	2.12794	−	2.98828i	0.172599	−	0.242381i
$153$	16.0012	+	15.0180i	1.29362	+	1.21414i
$154$	10.8801	−	4.85964i	0.876744	−	0.391601i
$155$	−13.2002	+	1.89790i	−1.06027	+	0.152443i
$156$	5.01063	+	3.19230i	0.401172	+	0.255588i
$157$	−9.34942	+	11.8888i	−0.746165	+	0.948826i	−0.999829	−	0.0184661i	$-0.994122\pi$
$157$	−9.34942	+	11.8888i	−0.746165	+	0.948826i	0.253664	+	0.967292i	$0.418364\pi$
$158$	0.756204	+	1.46683i	0.0601603	+	0.116695i
$159$	−15.5447	+	10.0768i	−1.23278	+	0.799143i
$160$			2.91644i			0.230564i
$161$	−12.5585	−	1.81249i	−0.989745	−	0.142844i
$162$	−4.24967	−	7.93349i	−0.333885	−	0.623314i
$163$	3.97706	−	11.4910i	0.311508	−	0.900042i	−0.675214	−	0.737622i	$-0.735949\pi$
$163$	3.97706	−	11.4910i	0.311508	−	0.900042i	0.986722	−	0.162420i	$-0.0519300\pi$
$164$	−1.46194	+	0.753684i	−0.114158	+	0.0588528i
$165$	−5.45083	−	22.0882i	−0.424347	−	1.71956i
$166$	0.591157	+	6.19088i	0.0458827	+	0.480505i
$167$	−0.467384	−	3.25073i	−0.0361673	−	0.251549i	0.963714	−	0.266936i	$-0.0860111\pi$
$167$	−0.467384	−	3.25073i	−0.0361673	−	0.251549i	−0.999882	+	0.0153868i	$0.995102\pi$
$168$	−3.17687	+	3.30265i	−0.245100	+	0.254805i
$169$	1.03833	−	0.667294i	0.0798715	−	0.0513303i
$170$	−17.3779	−	12.3747i	−1.33282	−	0.949098i
$171$	−0.0867743	−	11.0052i	−0.00663580	−	0.841587i
$172$	−1.69883	−	4.90845i	−0.129535	−	0.374266i
$173$	−19.0710	−	3.67564i	−1.44994	−	0.279454i	−0.597330	−	0.801995i	$-0.703772\pi$
$173$	−19.0710	−	3.67564i	−1.44994	−	0.279454i	−0.852614	+	0.522541i	$0.824984\pi$
$174$	−1.48494	+	3.75200i	−0.112573	+	0.284439i
$175$	−7.59970	+	5.31686i	−0.574484	+	0.401917i
$176$	2.43497	+	3.78888i	0.183543	+	0.285598i
$177$	−10.0930	−	4.56129i	−0.758633	−	0.342848i
$178$	−3.00812	+	7.51392i	−0.225468	+	0.563192i
$179$	−8.62289	+	6.14033i	−0.644505	+	0.458950i	−0.854988	−	0.518648i	$-0.826436\pi$
$179$	−8.62289	+	6.14033i	−0.644505	+	0.458950i	0.210483	+	0.977597i	$0.432496\pi$
$180$	5.13113	+	7.08674i	0.382452	+	0.528214i
$181$	−3.84017	+	5.97542i	−0.285438	+	0.444150i	−0.954131	−	0.299388i	$-0.903217\pi$
$181$	−3.84017	+	5.97542i	−0.285438	+	0.444150i	0.668694	+	0.743538i	$0.266854\pi$
$182$	−3.30262	−	8.45298i	−0.244806	−	0.626576i
$183$	14.5310	+	11.3348i	1.07416	+	0.837895i
$184$	−0.0373912	−	4.79569i	−0.00275651	−	0.353543i
$185$	−8.94812	+	15.4986i	−0.657879	+	1.13948i
$186$	3.60143	−	7.05394i	0.264070	−	0.517220i
$187$	−32.9082	−	1.56761i	−2.40649	−	0.114635i
$188$	−1.37139	+	9.53824i	−0.100019	+	0.695648i
$189$	−1.90893	+	13.6146i	−0.138854	+	0.990313i
$190$	1.52262	+	10.5901i	0.110463	+	0.768284i
$191$	17.4026	−	4.22183i	1.25921	−	0.305481i	0.450015	−	0.893021i	$-0.351419\pi$
$191$	17.4026	−	4.22183i	1.25921	−	0.305481i	0.809195	+	0.587540i	$0.199904\pi$
$192$	−1.41484	−	0.999118i	−0.102107	−	0.0721051i
$193$	6.17263	+	0.589415i	0.444316	+	0.0424270i	0.314817	−	0.949153i	$-0.398057\pi$
$193$	6.17263	+	0.589415i	0.444316	+	0.0424270i	0.129499	+	0.991580i	$0.458663\pi$
$194$	9.73186	+	9.27931i	0.698707	+	0.666215i
$195$	−17.0008	+	3.34620i	−1.21745	+	0.239626i
$196$	6.89462	−	1.21005i	0.492473	−	0.0864320i
$197$	2.03110	+	6.91729i	0.144710	+	0.492836i	0.999665	−	0.0258648i	$-0.00823395\pi$
$197$	2.03110	+	6.91729i	0.144710	+	0.492836i	−0.854956	+	0.518701i	$0.826416\pi$
$198$	12.5829	+	4.92268i	0.894228	+	0.349840i
$199$	13.7432	−	0.654667i	0.974226	−	0.0464081i	0.445573	−	0.895246i	$-0.353000\pi$
$199$	13.7432	−	0.654667i	0.974226	−	0.0464081i	0.528654	+	0.848838i	$0.322697\pi$
$200$	−2.41914	−	2.53712i	−0.171059	−	0.179401i
$201$	0.0184195	+	4.67218i	0.00129921	+	0.329550i
$202$	−12.3083	−	5.62103i	−0.866012	−	0.395495i
$203$	5.21292	−	3.28910i	0.365875	−	0.230849i
$204$	11.9566	−	4.19109i	0.837132	−	0.293435i
$205$	1.56891	−	4.53308i	0.109578	−	0.316604i
$206$	2.13982	−	3.70628i	0.149089	−	0.258229i
$207$	−8.52831	−	11.5874i	−0.592759	−	0.805380i
$208$	2.97057	−	1.71506i	0.205972	−	0.118918i
$209$	10.8199	+	12.4868i	0.748427	+	0.863730i
$210$	0.0586589	−	13.3647i	0.00404785	−	0.922249i
$211$	−1.45349	+	10.1093i	−0.100063	+	0.695951i	0.876607	+	0.481206i	$0.159801\pi$
$211$	−1.45349	+	10.1093i	−0.100063	+	0.695951i	−0.976670	+	0.214745i	$0.931108\pi$
$212$	1.01667	+	10.6471i	0.0698253	+	0.731244i
$213$	5.52159	+	9.47719i	0.378333	+	0.649367i
$214$	−5.54070	+	5.28305i	−0.378754	+	0.361142i
$215$	13.4644	+	6.94136i	0.918262	+	0.473397i
$216$	−5.19579	+	0.0614538i	−0.353529	+	0.00418140i
$217$	−10.7991	+	5.45393i	−0.733091	+	0.370237i
$218$	−6.76597	−	5.86274i	−0.458249	−	0.397075i
$219$	−2.70233	−	3.09392i	−0.182606	−	0.209068i
$220$	−12.7649	−	3.09674i	−0.860612	−	0.208782i
$221$	−2.38507	+	24.9776i	−0.160437	+	1.68018i
$222$	−4.45330	−	9.65050i	−0.298886	−	0.647699i
$223$	6.74578	−	22.9740i	0.451731	−	1.53845i	−0.347648	−	0.937625i	$-0.613019\pi$
$223$	6.74578	−	22.9740i	0.451731	−	1.53845i	0.799378	−	0.600828i	$-0.205162\pi$
$224$	0.844480	+	2.50736i	0.0564242	+	0.167530i
$225$	−10.3421	−	1.90883i	−0.689474	−	0.127255i
$226$	−17.0114	+	6.81033i	−1.13158	+	0.453016i
$227$	−4.93969	+	2.54659i	−0.327859	+	0.169023i	−0.614295	−	0.789076i	$-0.710560\pi$
$227$	−4.93969	+	2.54659i	−0.327859	+	0.169023i	0.286436	+	0.958099i	$0.407529\pi$
$228$	−5.65913	−	2.88930i	−0.374785	−	0.191349i
$229$	−21.7332	+	12.5477i	−1.43617	+	0.829173i	−0.997581	−	0.0695148i	$-0.977855\pi$
$229$	−21.7332	+	12.5477i	−1.43617	+	0.829173i	−0.438589	+	0.898688i	$0.644522\pi$
$230$	9.73058	+	10.0471i	0.641616	+	0.662487i
$231$	−11.0821	−	17.4117i	−0.729149	−	1.14560i
$232$	1.52563	+	1.76067i	0.100163	+	0.115594i
$233$	3.93262	+	0.187334i	0.257634	+	0.0122726i	0.176002	−	0.984390i	$-0.443684\pi$
$233$	3.93262	+	0.187334i	0.257634	+	0.0122726i	0.0816326	+	0.996662i	$0.473987\pi$
$234$	4.20084	−	9.39386i	0.274617	−	0.614096i
$235$	−16.3018	−	22.8926i	−1.06341	−	1.49335i
$236$	−5.02650	+	3.95289i	−0.327197	+	0.257311i
$237$	2.32181	−	1.66719i	0.150818	−	0.108295i
$238$	−18.5236	−	5.60706i	−1.20070	−	0.363452i
$239$	−5.65304	+	2.58166i	−0.365665	+	0.166993i	−0.589770	−	0.807572i	$-0.700781\pi$
$239$	−5.65304	+	2.58166i	−0.365665	+	0.166993i	0.224105	+	0.974565i	$0.428054\pi$
$240$	4.99713	−	0.738597i	0.322563	−	0.0476763i
$241$	7.47956	−	2.58870i	0.481801	−	0.166753i	−0.0753618	−	0.997156i	$-0.524011\pi$
$241$	7.47956	−	2.58870i	0.481801	−	0.166753i	0.557163	+	0.830403i	$0.311890\pi$
$242$	−8.77405	+	3.03673i	−0.564017	+	0.195208i
$243$	−12.5173	+	9.29072i	−0.802984	+	0.596000i
$244$	9.67846	−	4.42000i	0.619600	−	0.282962i
$245$	−12.1173	+	16.4300i	−0.774148	+	1.04967i
$246$	1.66163	+	2.31407i	0.105942	+	0.147540i
$247$	9.89123	−	7.77855i	0.629364	−	0.494937i
$248$	−2.65242	−	3.72480i	−0.168429	−	0.236525i
$249$	10.4580	−	2.58077i	0.662746	−	0.163550i
$250$	−4.35339	−	0.207378i	−0.275333	−	0.0131157i
$251$	−4.52348	−	5.22037i	−0.285519	−	0.329507i	0.594813	−	0.803864i	$-0.297226\pi$
$251$	−4.52348	−	5.22037i	−0.285519	−	0.329507i	−0.880333	+	0.474357i	$0.842681\pi$
$252$	6.46344	+	4.60695i	0.407158	+	0.290210i
$253$	21.0299	+	4.92852i	1.32214	+	0.309853i
$254$	−2.68519	+	1.55030i	−0.168484	+	0.0972743i
$255$	−16.8023	+	32.9098i	−1.05220	+	2.06089i
$256$	−0.888835	+	0.458227i	−0.0555522	+	0.0286392i
$257$	29.2182	−	11.6972i	1.82258	−	0.729650i	0.840328	−	0.542079i	$-0.182363\pi$
$257$	29.2182	−	11.6972i	1.82258	−	0.729650i	0.982251	−	0.187571i	$-0.0600616\pi$
$258$	−7.98007	+	4.15392i	−0.496818	+	0.258612i
$259$	−3.20525	+	15.9157i	−0.199164	+	0.988952i
$260$	−2.81838	+	9.59851i	−0.174788	+	0.595274i
$261$	6.80488	+	1.59414i	0.421212	+	0.0986749i
$262$	−0.256367	+	2.68480i	−0.0158384	+	0.165867i
$263$	−18.0995	−	4.39089i	−1.11606	−	0.270754i	−0.365015	−	0.931001i	$-0.618936\pi$
$263$	−18.0995	−	4.39089i	−1.11606	−	0.270754i	−0.751048	+	0.660247i	$0.770451\pi$
$264$	5.87534	−	5.13171i	0.361602	−	0.315835i
$265$	−23.5739	−	20.4269i	−1.44813	−	1.25481i
$266$	4.37550	+	8.66375i	0.268279	+	0.531208i
$267$	13.6364	+	3.25129i	0.834536	+	0.198976i
$268$	2.39764	+	1.23607i	0.146459	+	0.0755049i
$269$	1.40875	−	1.34324i	0.0858930	−	0.0818988i	−0.645916	−	0.763408i	$-0.723525\pi$
$269$	1.40875	−	1.34324i	0.0858930	−	0.0818988i	0.731809	+	0.681509i	$0.238676\pi$
$270$	10.8432	−	10.5866i	0.659896	−	0.644280i
$271$	2.95185	+	30.9132i	0.179312	+	1.87784i	0.420400	+	0.907339i	$0.361890\pi$
$271$	2.95185	+	30.9132i	0.179312	+	1.87784i	−0.241088	+	0.970503i	$0.577504\pi$
$272$	1.04103	−	7.24052i	0.0631217	−	0.439021i
$273$	−13.6472	+	7.79957i	−0.825968	+	0.472052i
$274$	9.95514	+	11.4888i	0.601412	+	0.694067i
$275$	13.6734	−	7.89435i	0.824538	−	0.476047i
$276$	−8.20763	+	1.27859i	−0.494041	+	0.0769622i
$277$	1.80847	−	3.13235i	0.108660	−	0.188205i	−0.806568	−	0.591142i	$-0.798677\pi$
$277$	1.80847	−	3.13235i	0.108660	−	0.188205i	0.915228	+	0.402937i	$0.132011\pi$
$278$	−7.29388	+	21.0743i	−0.437458	+	1.26395i
$279$	−12.9985	−	4.38438i	−0.778202	−	0.262486i
$280$	−6.82870	−	3.59277i	−0.408093	−	0.214709i
$281$	−20.5261	−	9.37397i	−1.22449	−	0.559204i	−0.305010	−	0.952349i	$-0.598660\pi$
$281$	−20.5261	−	9.37397i	−1.22449	−	0.559204i	−0.919477	+	0.393145i	$0.871387\pi$
$282$	16.6905	−	0.0658001i	0.993904	−	0.00391834i
$283$	11.3703	+	11.9249i	0.675897	+	0.708860i	0.968956	−	0.247234i	$-0.0795217\pi$
$283$	11.3703	+	11.9249i	0.675897	+	0.708860i	−0.293059	+	0.956094i	$0.594673\pi$
$284$	6.32542	−	0.301317i	0.375345	−	0.0178799i
$285$	17.7598	−	5.29088i	1.05200	−	0.313405i
$286$	4.35242	+	14.8230i	0.257364	+	0.876501i
$287$	0.0362554	−	4.35154i	0.00214009	−	0.256863i
$288$	−1.35361	+	2.67726i	−0.0797624	+	0.157759i
$289$	26.4227	+	25.1940i	1.55427	+	1.48200i
$290$	−6.76367	−	0.645852i	−0.397176	−	0.0379257i
$291$	13.4349	−	19.0249i	0.787566	−	1.11526i
$292$	−2.30485	+	0.559150i	−0.134881	+	0.0327218i
$293$	−1.81035	−	12.5912i	−0.105762	−	0.735588i	−0.971834	−	0.235668i	$-0.924272\pi$
$293$	−1.81035	−	12.5912i	−0.105762	−	0.735588i	0.866072	−	0.499919i	$-0.166637\pi$
$294$	−3.81943	−	11.5070i	−0.222753	−	0.671104i
$295$	2.65410	−	18.4596i	0.154527	−	1.07476i
$296$	−6.12939	−	0.291979i	−0.356263	−	0.0169709i
$297$	5.24804	−	22.8067i	0.304522	−	1.32338i
$298$	−3.82751	+	6.62944i	−0.221721	+	0.384033i
$299$	4.51138	−	15.8196i	0.260900	−	0.914870i
$300$	−3.73454	+	4.78757i	−0.215614	+	0.276411i
$301$	13.5857	+	2.06900i	0.783067	+	0.119255i
$302$	−4.24270	+	6.60177i	−0.244140	+	0.379889i
$303$	−6.51415	+	22.5131i	−0.374228	+	1.29334i
$304$	−2.98828	+	2.12794i	−0.171389	+	0.122046i
$305$	−11.5330	+	28.8080i	−0.660377	+	1.64954i
$306$	−10.2092	−	19.4255i	−0.583622	−	1.11048i
$307$	−8.80648	−	13.7032i	−0.502613	−	0.782080i	0.493539	−	0.869723i	$-0.335703\pi$
$307$	−8.80648	−	13.7032i	−0.502613	−	0.782080i	−0.996152	+	0.0876431i	$0.972067\pi$
$308$	−11.8711	+	1.03383i	−0.676421	+	0.0589078i
$309$	−6.89240	−	2.72782i	−0.392095	−	0.155180i
$310$	13.0949	+	2.52384i	0.743743	+	0.143345i
$311$	6.29967	+	18.2017i	0.357221	+	1.03212i	0.970259	+	0.242070i	$0.0778262\pi$
$311$	6.29967	+	18.2017i	0.357221	+	1.03212i	−0.613038	+	0.790054i	$0.710053\pi$
$312$	−3.69095	−	4.65554i	−0.208959	−	0.263568i
$313$	−23.7493	−	16.9118i	−1.34239	−	0.955910i	−0.999866	−	0.0164006i	$-0.994779\pi$
$313$	−23.7493	−	16.9118i	−1.34239	−	0.955910i	−0.342523	−	0.939510i	$-0.611281\pi$
$314$	12.7236	−	8.17699i	0.718037	−	0.461454i
$315$	−22.9143	+	3.28414i	−1.29108	+	0.185040i
$316$	−0.234860	−	1.63349i	−0.0132119	−	0.0918908i
$317$	0.722360	+	7.56489i	0.0405718	+	0.424887i	0.992825	+	0.119577i	$0.0381539\pi$
$317$	0.722360	+	7.56489i	0.0405718	+	0.424887i	−0.952253	+	0.305310i	$0.901240\pi$
$318$	17.9856	−	4.43841i	1.00858	−	0.248894i
$319$	−9.32624	+	4.80801i	−0.522169	+	0.269197i
$320$	0.953873	−	2.75603i	0.0533231	−	0.154067i
$321$	10.4554	+	8.15568i	0.583561	+	0.455206i
$322$	11.2749	+	5.82027i	0.628328	+	0.324351i
$323$		−	26.8350i		−	1.49314i
$324$	1.42115	+	8.88709i	0.0789527	+	0.493727i
$325$	−5.51000	−	10.6879i	−0.305640	−	0.592859i
$326$	−7.51665	+	9.55820i	−0.416309	+	0.529380i
$327$	−8.33193	+	13.0778i	−0.460757	+	0.723205i
$328$	1.62804	−	0.234077i	0.0898936	−	0.0129247i
$329$	−20.6439	−	14.9613i	−1.13814	−	0.824841i
$330$	−2.07330	+	22.6562i	−0.114132	+	1.24718i
$331$	2.57120	−	3.61075i	0.141326	−	0.198465i	−0.737846	−	0.674969i	$-0.764157\pi$
$331$	2.57120	−	3.61075i	0.141326	−	0.198465i	0.879172	+	0.476504i	$0.158096\pi$
$332$	1.46619	−	6.04373i	0.0804678	−	0.331693i
$333$	−15.4077	+	10.0745i	−0.844337	+	0.552077i
$334$	−0.621531	+	3.22481i	−0.0340086	+	0.176454i
$335$	−7.54842	+	2.21642i	−0.412414	+	0.121096i
$336$	4.08233	−	2.08196i	0.222710	−	0.113580i
$337$	−3.84144	+	2.46874i	−0.209257	+	0.134481i	−0.641071	−	0.767481i	$-0.721510\pi$
$337$	−3.84144	+	2.46874i	−0.209257	+	0.134481i	0.431815	+	0.901962i	$0.357873\pi$
$338$	−1.19947	+	0.290989i	−0.0652427	+	0.0158277i
$339$	15.9772	+	27.4232i	0.867765	+	1.48942i
$340$	12.3747	+	17.3779i	0.671114	+	0.942448i
$341$	19.1195	−	7.65428i	1.03538	−	0.414502i
$342$	−3.51744	+	10.4283i	−0.190201	+	0.563897i
$343$	−5.66023	+	17.6341i	−0.305624	+	0.952152i
$344$			5.19412i			0.280048i
$345$	14.7508	−	19.2172i	0.794156	−	1.03462i
$346$	16.8200	+	9.71101i	0.904247	+	0.522067i
$347$	4.40695	+	22.8654i	0.236577	+	1.22748i	0.884779	+	0.466011i	$0.154309\pi$
$347$	4.40695	+	22.8654i	0.236577	+	1.22748i	−0.648202	+	0.761469i	$0.724479\pi$
$348$	2.63043	−	3.05997i	0.141006	−	0.164032i
$349$	−3.24004	−	0.465848i	−0.173436	−	0.0249363i	0.0550498	−	0.998484i	$-0.482468\pi$
$349$	−3.24004	−	0.465848i	−0.173436	−	0.0249363i	−0.228485	+	0.973547i	$0.573377\pi$
$350$	8.92070	−	2.53882i	0.476832	−	0.135706i
$351$	−17.1597	−	4.81884i	−0.915914	−	0.257210i
$352$	−1.06182	−	4.37690i	−0.0565954	−	0.233289i
$353$	−1.14878	−	24.1159i	−0.0611434	−	1.28356i	−0.795984	−	0.605318i	$-0.793046\pi$
$353$	−1.14878	−	24.1159i	−0.0611434	−	1.28356i	0.734840	−	0.678240i	$-0.237257\pi$
$354$	8.04600	+	7.61151i	0.427640	+	0.404547i
$355$	−12.7448	+	13.3664i	−0.676423	+	0.709412i
$356$	5.30024	−	6.11680i	0.280912	−	0.324190i
$357$	−4.91618	+	33.1590i	−0.260192	+	1.75496i
$358$	10.1569	−	2.98235i	0.536811	−	0.157622i
$359$	−24.3999	−	17.3751i	−1.28778	−	0.917024i	−0.288597	−	0.957451i	$-0.593189\pi$
$359$	−24.3999	−	17.3751i	−1.28778	−	0.917024i	−0.999183	+	0.0404268i	$0.987128\pi$
$360$	−2.53108	−	8.37520i	−0.133400	−	0.441412i
$361$	4.01099	−	3.82447i	0.211105	−	0.201288i
$362$	5.58333	−	4.39078i	0.293454	−	0.230774i
$363$	7.42530	+	14.2647i	0.389727	+	0.748703i
$364$	0.356279	+	9.06825i	0.0186741	+	0.475306i
$365$	3.73957	−	5.81888i	0.195738	−	0.304574i
$366$	−10.0245	−	15.4640i	−0.523989	−	0.808318i
$367$	−15.4722	−	8.93286i	−0.807640	−	0.466291i	0.0384954	−	0.999259i	$-0.487743\pi$
$367$	−15.4722	−	8.93286i	−0.807640	−	0.466291i	−0.846136	+	0.532967i	$0.821077\pi$
$368$	−1.53318	+	4.54416i	−0.0799226	+	0.236881i
$369$	3.54420	−	3.43314i	0.184504	−	0.178722i
$370$	13.5251	−	11.7195i	0.703135	−	0.609270i
$371$	−26.1821	−	10.7357i	−1.35931	−	0.557368i
$372$	−5.71047	+	5.48806i	−0.296074	+	0.284543i
$373$	−10.0710	+	0.961665i	−0.521457	+	0.0497931i	−0.352466	−	0.935825i	$-0.614657\pi$
$373$	−10.0710	+	0.961665i	−0.521457	+	0.0497931i	−0.168991	+	0.985618i	$0.554051\pi$
$374$	30.5856	+	12.2446i	1.58154	+	0.633155i
$375$	0.747183	+	7.51178i	0.0385844	+	0.387907i
$376$	4.41562	−	8.56511i	0.227718	−	0.441712i
$377$	3.31965	+	7.26903i	0.170971	+	0.374374i
$378$	6.25682	−	12.2414i	0.321816	−	0.629630i
$379$	14.0241	−	16.1847i	0.720370	−	0.831351i	−0.270982	−	0.962585i	$-0.587348\pi$
$379$	14.0241	−	16.1847i	0.720370	−	0.831351i	0.991351	+	0.131233i	$0.0418937\pi$
$380$	2.02479	−	10.5056i	0.103870	−	0.538927i
$381$	3.33637	+	4.20829i	0.170927	+	0.215597i
$382$	−17.8263	−	1.70221i	−0.912074	−	0.0870925i
$383$	19.0497	+	9.82079i	0.973393	+	0.501819i	0.870123	−	0.492834i	$-0.164039\pi$
$383$	19.0497	+	9.82079i	0.973393	+	0.501819i	0.103270	+	0.994653i	$0.467069\pi$
$384$	1.01024	+	1.40692i	0.0515537	+	0.0717963i
$385$	22.9761	−	26.0737i	1.17097	−	1.32884i
$386$	−5.64036	−	2.57587i	−0.287087	−	0.131108i
$387$	9.13845	+	12.6214i	0.464534	+	0.641579i
$388$	−6.16165	−	11.9519i	−0.312810	−	0.606767i
$389$	2.50247	+	12.9841i	0.126880	+	0.658318i	0.988555	+	0.150858i	$0.0482036\pi$
$389$	2.50247	+	12.9841i	0.126880	+	0.658318i	−0.861675	+	0.507461i	$0.830584\pi$
$390$	17.1602	+	2.39825i	0.868940	+	0.121440i
$391$	−20.5714	−	28.4169i	−1.04034	−	1.43711i
$392$	−6.91119	−	1.11151i	−0.349068	−	0.0561399i
$393$	4.66516	−	0.240666i	0.235326	−	0.0121400i
$394$	0.343033	−	7.20115i	0.0172818	−	0.362789i
$395$	3.78323	+	2.97517i	0.190355	+	0.149697i
$396$	−10.2808	−	8.76740i	−0.516630	−	0.440579i
$397$	15.5875	+	19.8211i	0.782312	+	0.994791i	0.999825	+	0.0187331i	$0.00596328\pi$
$397$	15.5875	+	19.8211i	0.782312	+	0.994791i	−0.217513	+	0.976058i	$0.569794\pi$
$398$	−13.2014	−	3.87628i	−0.661727	−	0.194301i
$399$	13.7367	−	9.69126i	0.687694	−	0.485170i
$400$	1.45628	+	3.18880i	0.0728139	+	0.159440i
$401$	16.6938	−	17.5080i	0.833650	−	0.874307i	−0.159966	−	0.987123i	$-0.551138\pi$
$401$	16.6938	−	17.5080i	0.833650	−	0.874307i	0.993616	+	0.112815i	$0.0359868\pi$
$402$	1.51071	−	4.42124i	0.0753475	−	0.220511i
$403$	−5.13002	−	14.8222i	−0.255544	−	0.738347i
$404$	9.79294	+	9.33755i	0.487217	+	0.464560i
$405$	−20.8855	−	15.8980i	−1.03781	−	0.789979i
$406$	−6.00197	+	1.40322i	−0.297873	+	0.0696406i
$407$	7.78629	−	26.5177i	0.385952	−	1.31443i
$408$	−12.6698	+	0.0499491i	−0.627249	+	0.00247285i
$409$	18.4494	−	13.1378i	0.912264	−	0.649620i	−0.0244556	−	0.999701i	$-0.507785\pi$
$409$	18.4494	−	13.1378i	0.912264	−	0.649620i	0.936720	+	0.350081i	$0.113846\pi$
$410$	−2.96525	+	3.77062i	−0.146443	+	0.186218i
$411$	17.1642	−	19.9671i	0.846649	−	0.984904i
$412$	−3.23434	+	2.80257i	−0.159345	+	0.138073i
$413$	−3.06334	−	16.6389i	−0.150737	−	0.818747i
$414$	4.26940	+	13.7394i	0.209829	+	0.675257i
$415$	9.06871	+	15.7075i	0.445165	+	0.771049i
$416$	−3.36813	+	0.649155i	−0.165136	+	0.0318274i
$417$	37.9566	+	7.16046i	1.85874	+	0.350649i
$418$	−6.14076	−	15.3389i	−0.300354	−	0.750249i
$419$	11.7802	−	25.7951i	0.575503	−	1.26017i	−0.368313	−	0.929702i	$-0.620064\pi$
$419$	11.7802	−	25.7951i	0.575503	−	1.26017i	0.943815	−	0.330473i	$-0.107208\pi$
$420$	−4.42658	+	12.6104i	−0.215995	+	0.615326i
$421$	−4.27386	−	1.25492i	−0.208295	−	0.0611611i	0.175920	−	0.984404i	$-0.443710\pi$
$421$	−4.27386	−	1.25492i	−0.208295	−	0.0611611i	−0.384216	+	0.923243i	$0.625528\pi$
$422$	4.67998	−	9.07789i	0.227818	−	0.441905i
$423$	−4.33967	−	28.5814i	−0.211002	−	1.38968i
$424$	2.52156	−	10.3940i	0.122458	−	0.504778i
$425$	−25.1799	−	4.85304i	−1.22141	−	0.235407i
$426$	−2.11822	−	10.7619i	−0.102628	−	0.521415i
$427$	−1.57369	+	28.1067i	−0.0761560	+	1.36018i
$428$	6.96388	−	3.18030i	0.336612	−	0.153725i
$429$	24.2960	−	11.2116i	1.17302	−	0.541299i
$430$	−10.4535	−	10.9633i	−0.504114	−	0.528700i
$431$	13.3904	−	33.4476i	0.644992	−	1.61111i	−0.138964	−	0.990297i	$-0.544377\pi$
$431$	13.3904	−	33.4476i	0.644992	−	1.61111i	0.783957	−	0.620816i	$-0.213198\pi$
$432$	4.93012	+	1.64130i	0.237201	+	0.0789672i
$433$	27.5838	+	3.96596i	1.32559	+	0.190592i	0.768496	−	0.639855i	$-0.221005\pi$
$433$	27.5838	+	3.96596i	1.32559	+	0.190592i	0.557099	+	0.830446i	$0.311915\pi$
$434$	11.9890	−	1.62192i	0.575489	−	0.0778548i
$435$	0.606296	+	11.7527i	0.0290697	+	0.563498i
$436$	4.47633	+	7.75323i	0.214377	+	0.371312i
$437$	−3.19481	+	17.3010i	−0.152828	+	0.827620i
$438$	1.54178	+	3.80760i	0.0736690	+	0.181934i
$439$	0.727769	+	0.251883i	0.0347345	+	0.0120217i	0.344380	−	0.938830i	$-0.388089\pi$
$439$	0.727769	+	0.251883i	0.0347345	+	0.0120217i	−0.309645	+	0.950852i	$0.600210\pi$
$440$	11.0500	+	7.10143i	0.526790	+	0.338547i
$441$	−18.7493	+	9.45854i	−0.892824	+	0.450407i
$442$	10.4233	−	22.8238i	0.495785	−	1.08562i
$443$	−5.68750	−	7.23224i	−0.270221	−	0.343614i	0.631937	−	0.775020i	$-0.282260\pi$
$443$	−5.68750	−	7.23224i	−0.270221	−	0.343614i	−0.902158	+	0.431406i	$0.858018\pi$
$444$	1.05200	+	10.5763i	0.0499258	+	0.501927i
$445$	1.12316	+	23.5780i	0.0532428	+	1.11770i
$446$	−13.8888	+	19.5041i	−0.657655	+	0.923547i
$447$	12.3284	+	4.87926i	0.583115	+	0.230781i
$448$	0.0220426	−	2.64566i	0.00104142	−	0.124996i
$449$	30.4882	+	26.4182i	1.43883	+	1.24675i	0.920027	+	0.391855i	$0.128166\pi$
$449$	30.4882	+	26.4182i	1.43883	+	1.24675i	0.518800	+	0.854896i	$0.326379\pi$
$450$	9.14899	+	5.18642i	0.431287	+	0.244490i
$451$	−0.704162	+	7.37432i	−0.0331577	+	0.347243i
$452$	18.3032	−	0.871889i	0.860910	−	0.0410102i
$453$	12.3862	+	5.59767i	0.581954	+	0.263002i
$454$	5.50092	−	0.790913i	0.258171	−	0.0371194i
$455$	−19.0025	−	18.4235i	−0.890851	−	0.863709i
$456$	4.40288	+	4.58131i	0.206184	+	0.214540i
$457$	0.881077	−	18.4961i	0.0412151	−	0.865211i	−0.879719	−	0.475493i	$-0.842270\pi$
$457$	0.881077	−	18.4961i	0.0412151	−	0.865211i	0.920934	−	0.389717i	$-0.127427\pi$
$458$	24.6418	−	4.74932i	1.15144	−	0.221921i
$459$	−30.6989	+	22.4124i	−1.43290	+	1.04612i
$460$	−5.90932	−	12.6771i	−0.275523	−	0.591073i
$461$	16.1592			0.752609			0.376305	−	0.926496i	$-0.377195\pi$
$461$	16.1592			0.752609			0.376305	+	0.926496i	$0.377195\pi$
$462$	4.77781	+	20.0786i	0.222284	+	0.934142i
$463$	−0.0720184	−	0.0462834i	−0.00334698	−	0.00215097i	0.538966	−	0.842327i	$-0.318815\pi$
$463$	−0.0720184	−	0.0462834i	−0.00334698	−	0.00215097i	−0.542313	+	0.840176i	$0.682451\pi$
$464$	−0.865864	−	2.16282i	−0.0401967	−	0.100407i
$465$	1.00810	−	23.0765i	0.0467497	−	1.07015i
$466$	−3.65506	−	1.46326i	−0.169317	−	0.0677844i
$467$	0.338378	+	1.39481i	0.0156583	+	0.0645443i	0.979105	−	0.203357i	$-0.0651851\pi$
$467$	0.338378	+	1.39481i	0.0156583	+	0.0645443i	−0.963446	+	0.267901i	$0.913670\pi$
$468$	−7.04222	+	7.50325i	−0.325527	+	0.346838i
$469$	−5.84786	+	4.09124i	−0.270029	+	0.188916i
$470$	7.91774	+	26.9653i	0.365218	+	1.24382i
$471$	−17.2331	−	19.7303i	−0.794057	−	0.909124i
$472$	6.04291	−	2.09147i	0.278148	−	0.0962678i
$473$	−22.7341	−	5.51524i	−1.04532	−	0.253591i
$474$	−2.73939	+	0.816103i	−0.125825	+	0.0374849i
$475$	6.95280	+	10.8188i	0.319017	+	0.496399i
$476$	15.6709	+	11.3571i	0.718274	+	0.520554i
$477$	−12.1598	−	29.6931i	−0.556761	−	1.35955i
$478$	6.18650	−	0.590739i	0.282964	−	0.0270198i
$479$	−21.6718	−	17.0429i	−0.990209	−	0.778709i	−0.0149754	−	0.999888i	$-0.504767\pi$
$479$	−21.6718	−	17.0429i	−0.990209	−	0.778709i	−0.975233	+	0.221179i	$0.929009\pi$
$480$	−4.96386	−	0.936425i	−0.226568	−	0.0427417i
$481$	−19.8907	−	6.88425i	−0.906940	−	0.313895i
$482$	−7.91487			−0.360513
$483$	7.11725	−	20.7929i	0.323846	−	0.946110i
$484$	9.28470			0.422032
$485$	37.0596	+	12.8265i	1.68279	+	0.582420i
$486$	14.8675	−	4.68573i	0.674406	−	0.212549i
$487$	13.9814	+	10.9951i	0.633560	+	0.498237i	0.882519	−	0.470277i	$-0.155846\pi$
$487$	13.9814	+	10.9951i	0.633560	+	0.498237i	−0.248959	+	0.968514i	$0.580088\pi$
$488$	−10.5918	+	1.01139i	−0.479468	+	0.0457836i
$489$	18.2810	+	10.4587i	0.826695	+	0.472957i
$490$	16.8246	−	11.5632i	0.760058	−	0.522370i
$491$	−3.18049	−	4.94893i	−0.143533	−	0.223342i	0.762042	−	0.647527i	$-0.224197\pi$
$491$	−3.18049	−	4.94893i	−0.143533	−	0.223342i	−0.905575	+	0.424185i	$0.860561\pi$
$492$	−0.813383	−	2.73027i	−0.0366702	−	0.123090i
$493$	16.5613	+	4.01774i	0.745886	+	0.180950i
$494$	−11.8913	+	4.11563i	−0.535017	+	0.185171i
$495$	39.3450	−	2.18528i	1.76842	−	0.0982211i
$496$	1.28827	+	4.38746i	0.0578452	+	0.197003i
$497$	−7.08679	+	15.1819i	−0.317886	+	0.681001i
$498$	−10.7269	−	0.981633i	−0.480682	−	0.0439880i
$499$	6.57597	+	27.1065i	0.294381	+	1.21345i	0.906334	+	0.422561i	$0.138869\pi$
$499$	6.57597	+	27.1065i	0.294381	+	1.21345i	−0.611954	+	0.790894i	$0.709616\pi$
$500$	4.04613	+	1.61983i	0.180949	+	0.0724409i
$501$	5.68290	+	0.248259i	0.253893	+	0.0110914i
$502$	2.56727	+	6.41274i	0.114583	+	0.286215i
$503$	11.4583	+	7.36378i	0.510899	+	0.328335i	0.770563	−	0.637364i	$-0.219975\pi$
$503$	11.4583	+	7.36378i	0.510899	+	0.328335i	−0.259664	+	0.965699i	$0.583612\pi$
$504$	−4.60117	−	6.46755i	−0.204952	−	0.288088i
$505$	−39.4627			−1.75607
$506$	−18.2613	−	11.5357i	−0.811816	−	0.512823i
$507$	0.802362	+	1.98153i	0.0356341	+	0.0880026i
$508$	3.04456	−	0.586791i	0.135081	−	0.0260346i
$509$	1.08462	−	22.7689i	0.0480748	−	1.00921i	−0.838000	−	0.545671i	$-0.816275\pi$
$509$	1.08462	−	22.7689i	0.0480748	−	1.00921i	0.886074	−	0.463543i	$-0.153422\pi$
$510$	26.6419	−	25.6043i	1.17972	−	1.13378i
$511$	1.53013	−	6.08552i	0.0676888	−	0.269207i
$512$	0.989821	−	0.142315i	0.0437443	−	0.00628949i
$513$	18.7590	+	3.38591i	0.828230	+	0.149491i
$514$	−31.4370	+	1.49753i	−1.38662	+	0.0660531i
$515$	1.18642	−	12.4248i	0.0522801	−	0.547502i
$516$	8.89979	−	1.31543i	0.391791	−	0.0579085i
$517$	32.8000	+	28.4214i	1.44254	+	1.24997i
$518$	8.23447	−	13.9920i	0.361802	−	0.614773i
$519$	12.3795	−	31.2793i	0.543399	−	1.37301i
$520$	5.80273	−	8.14880i	0.254467	−	0.357348i
$521$	1.87724	+	39.4081i	0.0822432	+	1.72650i	0.543652	+	0.839311i	$0.317041\pi$
$521$	1.87724	+	39.4081i	0.0822432	+	1.72650i	−0.461409	+	0.887188i	$0.652656\pi$
$522$	−5.90923	−	3.73213i	−0.258640	−	0.163351i
$523$	18.4966	+	23.5204i	0.808801	+	1.02847i	0.998908	+	0.0467109i	$0.0148739\pi$
$523$	18.4966	+	23.5204i	0.808801	+	1.02847i	−0.190107	+	0.981763i	$0.560884\pi$
$524$	1.12038	−	2.45329i	0.0489440	−	0.107172i
$525$	−6.60930	−	14.6421i	−0.288454	−	0.639033i
$526$	15.6679	+	10.0692i	0.683154	+	0.439037i
$527$	−31.6094	−	10.9401i	−1.37693	−	0.476559i
$528$	−7.23062	+	2.92783i	−0.314672	+	0.127418i
$529$	9.87961	+	20.7700i	0.429548	+	0.903044i
$530$	15.5964	+	27.0137i	0.677463	+	1.17340i
$531$	11.0042	−	15.7139i	0.477540	−	0.681927i
$532$	−1.30121	−	9.61833i	−0.0564147	−	0.417008i
$533$	5.58438	+	0.802913i	0.241886	+	0.0347780i
$534$	−11.8230	−	7.53251i	−0.511633	−	0.325964i
$535$	−8.29825	+	20.7280i	−0.358765	+	0.896151i
$536$	−1.86149	−	1.95228i	−0.0804042	−	0.0843255i
$537$	−7.68234	−	16.6480i	−0.331517	−	0.718413i
$538$	−1.77060	+	0.808606i	−0.0763360	+	0.0348615i
$539$	12.2034	−	29.0693i	0.525640	−	1.25210i
$540$	−13.7094	+	6.45789i	−0.589957	+	0.277903i
$541$	24.7491	+	4.77000i	1.06405	+	0.205078i	0.691088	−	0.722770i	$-0.257131\pi$
$541$	24.7491	+	4.77000i	1.06405	+	0.205078i	0.372958	+	0.927848i	$0.378344\pi$
$542$	7.32121	−	30.1784i	0.314473	−	1.29627i
$543$	−8.93732	−	8.45471i	−0.383537	−	0.362826i
$544$	−3.35191	+	6.50181i	−0.143712	+	0.278763i
$545$	−25.0522	−	7.35599i	−1.07312	−	0.315096i
$546$	15.4476	−	2.90703i	0.661098	−	0.124409i
$547$	−17.4741	+	38.2630i	−0.747140	+	1.63601i	0.0242983	+	0.999705i	$0.492265\pi$
$547$	−17.4741	+	38.2630i	−0.747140	+	1.63601i	−0.771438	+	0.636304i	$0.780462\pi$
$548$	−5.64998	−	14.1130i	−0.241355	−	0.602877i
$549$	−23.9579	+	21.0927i	−1.02250	+	0.900213i
$550$	−15.5034	+	2.98803i	−0.661066	+	0.127410i
$551$	−4.27327	−	7.40152i	−0.182047	−	0.315315i
$552$	8.17440	+	1.47618i	0.347926	+	0.0628305i
$553$	4.11406	+	1.46238i	0.174948	+	0.0621869i
$554$	−2.73349	+	2.36859i	−0.116135	+	0.100632i
$555$	−23.5060	−	20.2063i	−0.997772	−	0.857711i
$556$	13.7854	−	17.5296i	0.584633	−	0.743422i
$557$	−9.40699	+	6.69869i	−0.398587	+	0.283832i	−0.761722	−	0.647904i	$-0.775646\pi$
$557$	−9.40699	+	6.69869i	−0.398587	+	0.283832i	0.363135	+	0.931737i	$0.381706\pi$
$558$	10.8496	+	8.39465i	0.459302	+	0.355374i
$559$	−5.01948	+	17.0948i	−0.212301	+	0.723032i
$560$	5.27805	+	5.62862i	0.223038	+	0.237853i
$561$	13.2345	−	55.5075i	0.558760	−	2.34353i
$562$	16.3313	+	15.5719i	0.688894	+	0.656859i
$563$	3.54016	+	10.2286i	0.149200	+	0.431085i	0.994691	−	0.102904i	$-0.0328135\pi$
$563$	3.54016	+	10.2286i	0.149200	+	0.431085i	−0.845491	+	0.533989i	$0.820692\pi$
$564$	−15.7940	−	5.39674i	−0.665049	−	0.227244i
$565$	−36.8783	+	38.6768i	−1.55148	+	1.62715i
$566$	−6.84474	−	14.9879i	−0.287706	−	0.629988i
$567$	−22.5594	−	7.62048i	−0.947407	−	0.320030i
$568$	−6.07608	−	1.78410i	−0.254947	−	0.0748591i
$569$	−15.1717	−	19.2924i	−0.636032	−	0.808780i	0.356038	−	0.934472i	$-0.384127\pi$
$569$	−15.1717	−	19.2924i	−0.636032	−	0.808780i	−0.992069	+	0.125692i	$0.959885\pi$
$570$	−18.5135	−	0.808767i	−0.775444	−	0.0338755i
$571$	−34.0503	−	26.7774i	−1.42496	−	1.12060i	−0.973601	−	0.228258i	$-0.926697\pi$
$571$	−34.0503	−	26.7774i	−1.42496	−	1.12060i	−0.451359	−	0.892342i	$-0.649061\pi$
$572$	0.735082	−	15.4313i	0.0307353	−	0.645214i
$573$	1.59795	+	30.9754i	0.0667555	+	1.29401i
$574$	−1.45751	+	4.10035i	−0.0608353	+	0.171145i
$575$	15.6562	+	6.12661i	0.652909	+	0.255497i
$576$	2.15481	−	2.08729i	0.0897838	−	0.0869705i
$577$	−7.41539	−	38.4747i	−0.308707	−	1.60172i	−0.722512	−	0.691358i	$-0.757013\pi$
$577$	−7.41539	−	38.4747i	−0.308707	−	1.60172i	0.413805	−	0.910365i	$-0.364199\pi$
$578$	−16.7293	−	32.4503i	−0.695847	−	1.34976i
$579$	−2.98514	+	10.3168i	−0.124058	+	0.428750i
$580$	6.18044	+	2.82251i	0.256629	+	0.117198i
$581$	12.3449	+	10.8783i	0.512154	+	0.451309i
$582$	−18.9184	+	13.5845i	−0.784193	+	0.563094i
$583$	42.8161	+	22.0732i	1.77326	+	0.914179i
$584$	2.36096	+	0.225445i	0.0976973	+	0.00932897i
$585$	−0.236627	−	30.0103i	−0.00978332	−	1.24077i
$586$	−2.40741	+	12.4908i	−0.0994492	+	0.515992i
$587$	2.52597	−	2.91512i	0.104258	−	0.120320i	−0.701222	−	0.712943i	$-0.747362\pi$
$587$	2.52597	−	2.91512i	0.104258	−	0.120320i	0.805480	+	0.592623i	$0.201907\pi$
$588$	−0.154224	+	12.1234i	−0.00636009	+	0.499960i
$589$	6.96855	+	15.2590i	0.287134	+	0.628736i
$590$	−8.54568	+	16.5763i	−0.351820	+	0.682436i
$591$	−12.4256	+	1.23595i	−0.511120	+	0.0508402i
$592$	5.69678	+	2.28065i	0.234136	+	0.0937340i
$593$	2.98937	−	0.285450i	0.122759	−	0.0117220i	−0.0334959	−	0.999439i	$-0.510664\pi$
$593$	2.98937	−	0.285450i	0.122759	−	0.0117220i	0.156254	+	0.987717i	$0.450058\pi$
$594$	−12.4187	+	19.8359i	−0.509547	+	0.813876i
$595$	−55.9340	+	7.56701i	−2.29307	+	0.310217i
$596$	5.78527	−	5.01297i	0.236974	−	0.205339i
$597$	−3.29846	+	23.6015i	−0.134997	+	0.965943i
$598$	−9.43734	+	13.4740i	−0.385921	+	0.550993i
$599$	12.7582	+	7.36595i	0.521286	+	0.300964i	0.737460	−	0.675390i	$-0.236025\pi$
$599$	12.7582	+	7.36595i	0.521286	+	0.300964i	−0.216175	+	0.976355i	$0.569358\pi$
$600$	5.09500	−	3.30281i	0.208003	−	0.134837i
$601$	−7.68415	+	11.9568i	−0.313443	+	0.487727i	−0.961854	−	0.273564i	$-0.911797\pi$
$601$	−7.68415	+	11.9568i	−0.313443	+	0.487727i	0.648411	+	0.761290i	$0.275434\pi$
$602$	−12.1618	−	6.39865i	−0.495678	−	0.260790i
$603$	−7.95810	−	1.46882i	−0.324079	−	0.0598148i
$604$	6.16858	−	4.85103i	0.250996	−	0.197385i
$605$	−19.5974	+	18.6861i	−0.796749	+	0.759699i
$606$	13.5192	−	19.1443i	0.549180	−	0.777686i
$607$	21.6231	+	15.3977i	0.877653	+	0.624974i	0.927517	−	0.373782i	$-0.121939\pi$
$607$	21.6231	+	15.3977i	0.877653	+	0.624974i	−0.0498635	+	0.998756i	$0.515879\pi$
$608$	3.51990	−	1.03354i	0.142751	−	0.0419155i
$609$	3.92435	+	9.92862i	0.159023	+	0.402328i
$610$	20.3209	−	23.4515i	0.822767	−	0.949524i
$611$	22.8097	−	23.9221i	0.922782	−	0.967786i
$612$	3.29426	+	21.6962i	0.133162	+	0.877019i
$613$	−0.908723	−	19.0765i	−0.0367030	−	0.770491i	−0.939938	−	0.341345i	$-0.889118\pi$
$613$	−0.908723	−	19.0765i	−0.0367030	−	0.770491i	0.903235	−	0.429146i	$-0.141185\pi$
$614$	3.84027	+	15.8298i	0.154981	+	0.638839i
$615$	7.21168	+	4.12584i	0.290803	+	0.166370i
$616$	11.5564	+	2.90570i	0.465620	+	0.117074i
$617$	−30.8018	−	4.42863i	−1.24004	−	0.178290i	−0.509082	−	0.860718i	$-0.670015\pi$
$617$	−30.8018	−	4.42863i	−1.24004	−	0.178290i	−0.730953	+	0.682428i	$0.760924\pi$
$618$	5.62114	+	4.83208i	0.226115	+	0.194375i
$619$	5.23423	+	27.1578i	0.210381	+	1.09156i	0.921467	+	0.388457i	$0.126992\pi$
$619$	5.23423	+	27.1578i	0.210381	+	1.09156i	−0.711085	+	0.703106i	$0.751796\pi$
$620$	−11.5493	−	6.66797i	−0.463830	−	0.267792i
$621$	22.4604	−	10.7949i	0.901305	−	0.433184i
$622$		−	19.2610i		−	0.772297i
$623$	7.79283	+	19.9456i	0.312213	+	0.799102i
$624$	1.96528	+	5.60668i	0.0786740	+	0.224447i
$625$	−28.0727	+	11.2386i	−1.12291	+	0.449545i
$626$	16.9118	+	23.7493i	0.675931	+	0.949212i
$627$	−24.7270	+	14.4064i	−0.987502	+	0.575337i
$628$	−14.6983	+	3.56577i	−0.586525	+	0.142290i
$629$	−37.7615	+	24.2678i	−1.50565	+	0.967621i
$630$	22.7282	+	4.39103i	0.905514	+	0.174943i
$631$	38.4814	−	11.2992i	1.53192	−	0.449812i	0.596283	−	0.802774i	$-0.296644\pi$
$631$	38.4814	−	11.2992i	1.53192	−	0.449812i	0.935638	+	0.352962i	$0.114825\pi$
$632$	−0.312318	+	1.62046i	−0.0124234	+	0.0644585i
$633$	−16.7396	−	5.71983i	−0.665339	−	0.227343i
$634$	1.79160	−	7.38509i	0.0711537	−	0.293299i
$635$	−5.24527	+	7.36595i	−0.208152	+	0.292309i
$636$	−18.4481	−	1.68821i	−0.731513	−	0.0669420i
$637$	−21.6718	−	10.3370i	−0.858668	−	0.409567i
$638$	10.3859	−	1.49326i	0.411180	−	0.0591187i
$639$	−17.9034	+	6.35492i	−0.708246	+	0.251397i
$640$	−1.80282	+	2.29247i	−0.0712628	+	0.0906180i
$641$	−17.4544	−	33.8568i	−0.689407	−	1.33726i	−0.930332	−	0.366719i	$-0.880481\pi$
$641$	−17.4544	−	33.8568i	−0.689407	−	1.33726i	0.240925	−	0.970544i	$-0.422549\pi$
$642$	−7.21286	−	11.1267i	−0.284669	−	0.439137i
$643$		−	9.93280i		−	0.391711i	−0.980633	−	0.195856i	$-0.937252\pi$
$643$		−	9.93280i		−	0.391711i	0.980633	−	0.195856i	$-0.0627484\pi$
$644$	−8.75121	−	9.18784i	−0.344846	−	0.362051i
$645$	−16.1376	+	20.6880i	−0.635418	+	0.814588i
$646$	−8.77687	+	25.3591i	−0.345321	+	0.997741i
$647$	7.01243	−	3.61516i	0.275687	−	0.142127i	−0.314839	−	0.949145i	$-0.601951\pi$
$647$	7.01243	−	3.61516i	0.275687	−	0.142127i	0.590526	+	0.807018i	$0.298920\pi$
$648$	1.56370	−	8.86312i	0.0614278	−	0.348176i
$649$	2.73765	+	28.6700i	0.107462	+	1.12540i
$650$	1.71128	+	11.9022i	0.0671220	+	0.466844i
$651$	−5.81531	−	20.1316i	−0.227920	−	0.789019i
$652$	10.2294	−	6.57405i	0.400615	−	0.257460i
$653$	−3.92731	−	2.79662i	−0.153687	−	0.109440i	0.500626	−	0.865663i	$-0.333103\pi$
$653$	−3.92731	−	2.79662i	−0.153687	−	0.109440i	−0.654314	+	0.756223i	$0.727042\pi$
$654$	12.1510	−	9.63343i	0.475142	−	0.376697i
$655$	2.57261	+	7.43306i	0.100520	+	0.290434i
$656$	−1.61506	−	0.311277i	−0.0630575	−	0.0121533i
$657$	6.13362	−	3.60603i	0.239295	−	0.140685i
$658$	14.6152	+	20.8904i	0.569760	+	0.814391i
$659$	16.1314	+	25.1010i	0.628391	+	0.977795i	0.998802	+	0.0489273i	$0.0155803\pi$
$659$	16.1314	+	25.1010i	0.628391	+	0.977795i	−0.370412	+	0.928868i	$0.620783\pi$
$660$	9.36938	−	20.7320i	0.364703	−	0.806991i
$661$	11.6529	−	29.1076i	0.453246	−	1.13215i	−0.509193	−	0.860653i	$-0.670056\pi$
$661$	11.6529	−	29.1076i	0.453246	−	1.13215i	0.962438	−	0.271500i	$-0.0875198\pi$
$662$	−3.61075	+	2.57120i	−0.140336	+	0.0999326i
$663$	−41.7468	−	12.0794i	−1.62131	−	0.469126i
$664$	−3.36226	+	5.23179i	−0.130481	+	0.203033i
$665$	22.1041	+	17.6829i	0.857159	+	0.685712i
$666$	17.8553	−	4.48101i	0.691880	−	0.173636i
$667$	−10.1991	−	4.56200i	−0.394910	−	0.176641i
$668$	1.64208	−	2.84416i	0.0635339	−	0.110044i
$669$	36.9365	+	18.8581i	1.42805	+	0.729097i
$670$	7.85819	+	0.374332i	0.303588	+	0.0144617i
$671$	6.81985	−	47.4331i	0.263278	−	1.83114i
$672$	−4.53875	+	0.632254i	−0.175086	+	0.0243897i
$673$	1.04493	+	7.26761i	0.0402789	+	0.280146i	1.00000		0.000809675i	$-0.000257728\pi$
$673$	1.04493	+	7.26761i	0.0402789	+	0.280146i	−0.959721	+	0.280956i	$0.909349\pi$
$674$	4.43761	−	1.07655i	0.170930	−	0.0414673i
$675$	6.56959	−	16.9897i	0.252864	−	0.653933i
$676$	1.22868	+	0.117324i	0.0472568	+	0.00451247i
$677$	35.3826	+	33.7373i	1.35987	+	1.29663i	0.916359	+	0.400357i	$0.131114\pi$
$677$	35.3826	+	33.7373i	1.35987	+	1.29663i	0.443506	+	0.896271i	$0.353734\pi$
$678$	−6.12927	−	31.1406i	−0.235393	−	1.19595i
$679$	35.5755	+	0.296402i	1.36526	+	0.0113748i
$680$	−6.01038	−	20.4695i	−0.230488	−	0.784969i
$681$	−2.74830	−	9.22517i	−0.105315	−	0.353509i
$682$	−20.5714	+	0.979935i	−0.787719	+	0.0375237i
$683$	−2.57081	−	2.69619i	−0.0983694	−	0.103167i	0.672709	−	0.739907i	$-0.265131\pi$
$683$	−2.57081	−	2.69619i	−0.0983694	−	0.103167i	−0.771078	+	0.636741i	$0.780282\pi$
$684$	6.73474	−	8.70429i	0.257509	−	0.332817i
$685$	40.3289	+	18.4176i	1.54089	+	0.703701i
$686$	11.1165	−	14.8130i	0.424429	−	0.565562i
$687$	−14.3783	−	41.0194i	−0.548566	−	1.56499i
$688$	1.69883	−	4.90845i	0.0647673	−	0.187133i
$689$	18.3434	−	31.7718i	0.698829	−	1.21041i
$690$	−20.2248	+	13.3358i	−0.769946	+	0.507683i
$691$	−24.8619	+	14.3540i	−0.945789	+	0.546052i	−0.891770	−	0.452488i	$-0.850536\pi$
$691$	−24.8619	+	14.3540i	−0.945789	+	0.546052i	−0.0540190	+	0.998540i	$0.517203\pi$
$692$	−12.7187	−	14.6782i	−0.483493	−	0.557981i
$693$	33.1934	−	13.2714i	1.26091	−	0.504141i
$694$	3.31397	−	23.0492i	0.125797	−	0.874936i
$695$	6.18234	+	64.7444i	0.234510	+	2.45589i
$696$	−3.48658	+	2.03135i	−0.132158	+	0.0769979i
$697$	8.70764	−	8.30272i	0.329825	−	0.314488i
$698$	2.90948	+	1.49994i	0.110125	+	0.0567736i
$699$	−1.58155	+	6.63328i	−0.0598198	+	0.250894i
$700$	−9.26044	−	0.518489i	−0.350012	−	0.0195970i
$701$	9.49983	+	8.23165i	0.358804	+	0.310905i	0.815544	−	0.578695i	$-0.196438\pi$
$701$	9.49983	+	8.23165i	0.358804	+	0.310905i	−0.456740	+	0.889600i	$0.650983\pi$
$702$	14.6398	+	10.1662i	0.552544	+	0.383698i
$703$	21.8766	+	5.30721i	0.825093	+	0.200165i
$704$	−0.428119	+	4.48346i	−0.0161353	+	0.168977i
$705$	44.1982	−	20.3956i	1.66460	−	0.768143i
$706$	−6.80193	+	23.1652i	−0.255994	+	0.871835i
$707$	−33.9274	+	11.4268i	−1.27597	+	0.429748i
$708$	−5.11399	−	9.82447i	−0.192196	−	0.369226i
$709$	−39.2279	+	15.7045i	−1.47323	+	0.589794i	−0.962822	−	0.270137i	$-0.912931\pi$
$709$	−39.2279	+	15.7045i	−1.47323	+	0.589794i	−0.510411	+	0.859931i	$0.670507\pi$
$710$	16.4155	−	8.46280i	0.616064	−	0.317603i
$711$	2.09210	+	4.48710i	0.0784599	+	0.168279i
$712$	−7.00934	+	4.04684i	−0.262686	+	0.151662i
$713$	19.0767	+	10.8165i	0.714428	+	0.405081i
$714$	15.4910	−	29.7273i	0.579737	−	1.11252i
$715$	29.5050	+	34.0506i	1.10342	+	1.27342i
$716$	−10.5737	−	0.503690i	−0.395159	−	0.0188238i
$717$	−2.57895	−	10.4506i	−0.0963125	−	0.390284i
$718$	17.3751	+	24.3999i	0.648434	+	0.910598i
$719$	−8.33523	+	6.55489i	−0.310851	+	0.244456i	−0.761380	−	0.648306i	$-0.775478\pi$
$719$	−8.33523	+	6.55489i	−0.310851	+	0.244456i	0.450529	+	0.892762i	$0.351235\pi$
$720$	−0.347389	+	8.74241i	−0.0129464	+	0.325810i
$721$	−2.57770	−	11.0256i	−0.0959986	−	0.410614i
$722$	−5.04125	+	2.30226i	−0.187616	+	0.0856813i
$723$	2.00447	+	13.5616i	0.0745470	+	0.504362i
$724$	−6.71234	+	2.32316i	−0.249462	+	0.0863397i
$725$	−7.71783	+	2.67117i	−0.286633	+	0.0992047i
$726$	−2.35138	−	15.9087i	−0.0872680	−	0.590429i
$727$	10.4114	−	4.75474i	0.386139	−	0.176344i	−0.212881	−	0.977078i	$-0.568285\pi$
$727$	10.4114	−	4.75474i	0.386139	−	0.176344i	0.599019	+	0.800735i	$0.295557\pi$
$728$	2.62925	−	8.68603i	0.0974465	−	0.321926i
$729$	−11.7940	−	24.2879i	−0.436813	−	0.899552i
$730$	−5.43706	+	4.27575i	−0.201235	+	0.158253i
$731$	22.0392	+	30.9497i	0.815148	+	1.14472i
$732$	4.41537	+	17.8922i	0.163197	+	0.661316i
$733$	34.6863	+	1.65231i	1.28117	+	0.0610295i	0.677092	−	0.735898i	$-0.263240\pi$
$733$	34.6863	+	1.65231i	1.28117	+	0.0610295i	0.604075	+	0.796928i	$0.293543\pi$
$734$	11.6996	+	13.5020i	0.431838	+	0.498368i
$735$	−24.0736	−	25.8995i	−0.887969	−	0.955317i
$736$	2.93510	−	3.79278i	0.108189	−	0.139804i
$737$	10.5215	−	6.07458i	0.387564	−	0.223760i
$738$	−4.47214	+	2.08513i	−0.164622	+	0.0767547i
$739$	−12.8111	+	6.60460i	−0.471265	+	0.242954i	−0.677464	−	0.735556i	$-0.736921\pi$
$739$	−12.8111	+	6.60460i	−0.471265	+	0.242954i	0.206199	+	0.978510i	$0.433891\pi$
$740$	−16.6143	+	6.65136i	−0.610754	+	0.244509i
$741$	10.0634	+	19.3328i	0.369688	+	0.710206i
$742$	21.2308	+	18.7085i	0.779407	+	0.686812i
$743$	13.8245	−	47.0818i	0.507170	−	1.72726i	−0.164466	−	0.986383i	$-0.552590\pi$
$743$	13.8245	−	47.0818i	0.507170	−	1.72726i	0.671636	−	0.740881i	$-0.265592\pi$
$744$	7.19137	−	3.31851i	0.263648	−	0.121663i
$745$	−2.12216	+	22.2243i	−0.0777499	+	0.814234i
$746$	9.83164	+	2.38513i	0.359962	+	0.0873258i
$747$	1.03465	+	18.6284i	0.0378559	+	0.681577i
$748$	−24.8986	−	21.5748i	−0.910383	−	0.788851i
$749$	−1.13230	+	20.2234i	−0.0413735	+	0.738948i
$750$	1.75077	−	7.34302i	0.0639292	−	0.268129i
$751$	−43.9466	−	22.6561i	−1.60364	−	0.826732i	−0.999556	−	0.0298078i	$-0.990510\pi$
$751$	−43.9466	−	22.6561i	−1.60364	−	0.826732i	−0.604080	−	0.796924i	$-0.706459\pi$
$752$	−6.97414	+	6.64983i	−0.254321	+	0.242494i
$753$	10.3376	−	6.02291i	0.376725	−	0.219487i
$754$	−0.759609	−	7.95499i	−0.0276633	−	0.289704i
$755$	−3.25714	+	22.6539i	−0.118539	+	0.824459i
$756$	−9.91647	+	9.52174i	−0.360659	+	0.346302i
$757$	−14.2013	−	16.3892i	−0.516155	−	0.595674i	0.436509	−	0.899700i	$-0.356215\pi$
$757$	−14.2013	−	16.3892i	−0.516155	−	0.595674i	−0.952664	+	0.304025i	$0.901669\pi$
$758$	−18.5463	+	10.7077i	−0.673631	+	0.388921i
$759$	−15.1409	+	34.2111i	−0.549579	+	1.24178i
$760$	−5.34948	+	9.26557i	−0.194046	+	0.336098i
$761$	3.09239	−	8.93487i	0.112099	−	0.323889i	−0.874972	−	0.484174i	$-0.839120\pi$
$761$	3.09239	−	8.93487i	0.112099	−	0.323889i	0.987071	+	0.160285i	$0.0512414\pi$
$762$	−1.77647	−	5.06805i	−0.0643549	−	0.183596i
$763$	−23.6682	+	0.929893i	−0.856848	+	0.0336644i
$764$	16.2892	+	7.43901i	0.589321	+	0.269134i
$765$	−50.6185	−	39.1649i	−1.83012	−	1.41601i
$766$	−14.7899	−	15.5112i	−0.534381	−	0.560442i
$767$	21.9094	−	1.04368i	0.791104	−	0.0376849i
$768$	−0.494523	−	1.65995i	−0.0178446	−	0.0598984i
$769$	−3.60059	−	12.2625i	−0.129841	−	0.442197i	0.868751	−	0.495249i	$-0.164923\pi$
$769$	−3.60059	−	12.2625i	−0.129841	−	0.442197i	−0.998592	+	0.0530521i	$0.983105\pi$
$770$	−30.2402	+	17.1249i	−1.08978	+	0.617138i
$771$	10.5274	+	53.4860i	0.379136	+	1.92625i
$772$	4.48767	+	4.27898i	0.161515	+	0.154004i
$773$	−14.5964	−	1.39378i	−0.524995	−	0.0501309i	−0.170806	−	0.985305i	$-0.554637\pi$
$773$	−14.5964	−	1.39378i	−0.524995	−	0.0501309i	−0.354189	+	0.935174i	$0.615243\pi$
$774$	−4.50780	−	14.9161i	−0.162030	−	0.536148i
$775$	15.5781	−	3.77921i	0.559583	−	0.135753i
$776$	1.91367	+	13.3099i	0.0686967	+	0.477796i
$777$	−26.0598	−	10.5657i	−0.934890	−	0.379043i
$778$	1.88183	−	13.0884i	0.0674670	−	0.469243i
$779$	−6.02706	−	0.287104i	−0.215942	−	0.0102866i
$780$	−15.4320	−	7.87890i	−0.552554	−	0.282110i
$781$	14.2605	−	24.7000i	0.510282	−	0.883835i
$782$	10.1457	+	33.5822i	0.362809	+	1.20090i
$783$	−4.89823	+	11.0703i	−0.175048	+	0.395619i
$784$	6.16754	+	3.31081i	0.220269	+	0.118243i
$785$	23.8477	−	37.1077i	0.851160	−	1.32443i
$786$	−4.48729	−	1.29839i	−0.160056	−	0.0463122i
$787$	−33.8819	+	24.1272i	−1.20776	+	0.860040i	−0.993171	−	0.116665i	$-0.962780\pi$
$787$	−33.8819	+	24.1272i	−1.20776	+	0.860040i	−0.214586	+	0.976705i	$0.568840\pi$
$788$	−2.67943	+	6.69290i	−0.0954508	+	0.238425i
$789$	13.2849	−	29.3961i	0.472956	−	1.04653i
$790$	−2.60207	−	4.04891i	−0.0925777	−	0.144054i
$791$	−20.5063	+	43.9302i	−0.729120	+	1.56198i
$792$	6.84783	+	11.6477i	0.243327	+	0.413884i
$793$	−35.8369	−	6.90699i	−1.27260	−	0.245274i
$794$	−8.24732	−	23.8291i	−0.292687	−	0.845662i
$795$	42.3364	−	33.5647i	1.50152	−	1.19042i
$796$	11.2075	+	7.98085i	0.397241	+	0.282874i
$797$	−8.72945	+	5.61007i	−0.309213	+	0.198719i	−0.686039	−	0.727565i	$-0.740652\pi$
$797$	−8.72945	+	5.61007i	−0.309213	+	0.198719i	0.376826	+	0.926284i	$0.377016\pi$
$798$	−16.1509	+	4.66542i	−0.571734	+	0.165154i
$799$	−10.0317	−	69.7720i	−0.354896	−	2.46836i
$800$	−0.333228	−	3.48972i	−0.0117814	−	0.123380i
$801$	−9.91225	+	22.1657i	−0.350232	+	0.783185i
$802$	−21.5020	+	11.0850i	−0.759262	+	0.391427i
$803$	−3.49367	+	10.0943i	−0.123289	+	0.356220i
$804$	−2.87367	+	3.68397i	−0.101347	+	0.129923i
$805$	36.9626	+	1.78056i	1.30276	+	0.0627563i
$806$			15.6849i			0.552476i
$807$	1.83391	+	2.82903i	0.0645565	+	0.0995865i
$808$	−6.20032	−	12.0269i	−0.218127	−	0.423106i
$809$	−10.4208	+	13.2512i	−0.366377	+	0.465887i	−0.933933	−	0.357448i	$-0.883647\pi$
$809$	−10.4208	+	13.2512i	−0.366377	+	0.465887i	0.567555	+	0.823335i	$0.307889\pi$
$810$	14.5371	+	21.8546i	0.510783	+	0.767894i
$811$	17.9857	−	2.58595i	0.631563	−	0.0908050i	0.180903	−	0.983501i	$-0.442098\pi$
$811$	17.9857	−	2.58595i	0.631563	−	0.0908050i	0.450660	+	0.892696i	$0.351189\pi$
$812$	6.13082	+	0.637008i	0.215149	+	0.0223546i
$813$	−53.5629	−	4.90163i	−1.87853	−	0.171908i
$814$	−16.0311	+	22.5126i	−0.561891	+	0.789065i
$815$	−8.36074	+	34.4635i	−0.292864	+	1.20720i
$816$	11.9893	+	4.09668i	0.419710	+	0.143413i
$817$	3.60612	−	18.7103i	0.126162	−	0.654591i
$818$	−21.7316	+	6.38098i	−0.759829	+	0.223106i
$819$	−8.89318	−	25.7323i	−0.310753	−	0.899160i
$820$	4.03541	−	2.59340i	0.140923	−	0.0905656i
$821$	3.79060	−	0.919590i	0.132293	−	0.0320939i	−0.169066	−	0.985605i	$-0.554075\pi$
$821$	3.79060	−	0.919590i	0.132293	−	0.0320939i	0.301359	+	0.953511i	$0.402560\pi$
$822$	−22.7508	+	13.2550i	−0.793526	+	0.462323i
$823$	7.01042	+	9.84476i	0.244368	+	0.343167i	0.918484	−	0.395459i	$-0.129414\pi$
$823$	7.01042	+	9.84476i	0.244368	+	0.343167i	−0.674116	+	0.738626i	$0.735475\pi$
$824$	3.97309	−	1.59058i	0.138409	−	0.0554106i
$825$	9.04608	+	25.8073i	0.314944	+	0.898495i
$826$	−2.54720	+	16.7257i	−0.0886283	+	0.581962i
$827$			29.7009i			1.03280i	0.856347	+	0.516402i	$0.172729\pi$
$827$			29.7009i			1.03280i	−0.856347	+	0.516402i	$0.827271\pi$
$828$	0.459149	−	14.3802i	0.0159565	−	0.499745i
$829$	32.3940	+	18.7027i	1.12509	+	0.649572i	0.942696	−	0.333653i	$-0.108282\pi$
$829$	32.3940	+	18.7027i	1.12509	+	0.649572i	0.182396	+	0.983225i	$0.441615\pi$
$830$	−3.43253	−	17.8097i	−0.119145	−	0.618182i
$831$	4.75069	+	4.08381i	0.164799	+	0.141666i
$832$	3.39521	+	0.488157i	0.117708	+	0.0169238i
$833$	−45.8973	+	22.7018i	−1.59025	+	0.786571i
$834$	−33.5271	−	19.1810i	−1.16095	−	0.664185i
$835$	2.25811	+	9.30804i	0.0781450	+	0.322118i
$836$	0.786168	+	16.5037i	0.0271902	+	0.570792i
$837$	11.6360	−	20.7161i	0.402199	−	0.716055i
$838$	−19.5691	+	20.5235i	−0.676003	+	0.708972i
$839$	9.62806	−	11.1114i	0.332398	−	0.383607i	−0.564807	−	0.825223i	$-0.691049\pi$
$839$	9.62806	−	11.1114i	0.332398	−	0.383607i	0.897204	+	0.441616i	$0.145595\pi$
$840$	8.30759	−	10.4691i	0.286639	−	0.361217i
$841$	−22.6176	+	6.64113i	−0.779918	+	0.229005i
$842$	3.62836	+	2.58374i	0.125042	+	0.0890417i
$843$	22.5454	−	31.9262i	0.776505	−	1.09960i
$844$	−7.39167	+	7.04794i	−0.254432	+	0.242600i
$845$	−2.82952	+	2.22516i	−0.0973384	+	0.0765478i
$846$	−5.24707	+	28.4288i	−0.180398	+	0.977403i
$847$	−11.4379	+	21.7397i	−0.393009	+	0.746985i
$848$	−5.78242	+	8.99763i	−0.198569	+	0.308980i
$849$	−23.9473	+	15.5238i	−0.821871	+	0.532774i
$850$	22.2078	+	12.8217i	0.761721	+	0.439780i
$851$	27.2347	−	11.1503i	0.933593	−	0.382227i
$852$	−1.51815	+	10.8628i	−0.0520109	+	0.372153i
$853$	−8.96557	+	7.76871i	−0.306975	+	0.265996i	−0.794701	−	0.607002i	$-0.792372\pi$
$853$	−8.96557	+	7.76871i	−0.306975	+	0.265996i	0.487725	+	0.872997i	$0.337827\pi$
$854$	10.6799	−	26.0462i	0.365460	−	0.891281i
$855$	3.30283	+	31.9265i	0.112955	+	1.09186i
$856$	−7.62105	+	0.727722i	−0.260482	+	0.0248730i
$857$	32.7554	+	13.1133i	1.11890	+	0.447941i	0.856049	−	0.516894i	$-0.172912\pi$
$857$	32.7554	+	13.1133i	1.11890	+	0.447941i	0.262854	+	0.964836i	$0.415336\pi$
$858$	−26.6267	+	2.64851i	−0.909019	+	0.0904185i
$859$	10.9994	−	21.3358i	0.375293	−	0.727968i	−0.623244	−	0.782027i	$-0.714186\pi$
$859$	10.9994	−	21.3358i	0.375293	−	0.727968i	0.998538	+	0.0540595i	$0.0172161\pi$
$860$	6.29284	+	13.7794i	0.214584	+	0.469873i
$861$	7.39480	+	1.45892i	0.252014	+	0.0497199i
$862$	−23.5936	+	27.2284i	−0.803600	+	0.927404i
$863$	0.893359	−	4.63519i	0.0304103	−	0.157784i	−0.963549	−	0.267531i	$-0.913792\pi$
$863$	0.893359	−	4.63519i	0.0304103	−	0.157784i	0.993959	+	0.109748i	$0.0350043\pi$
$864$	−4.12215	−	3.16352i	−0.140239	−	0.107625i
$865$	56.3866	+	5.38427i	1.91720	+	0.183071i
$866$	−24.7696	−	12.7696i	−0.841706	−	0.433929i
$867$	−51.3648	+	36.8827i	−1.74444	+	1.25260i
$868$	−11.8601	−	2.38849i	−0.402557	−	0.0810706i
$869$	−6.76096	−	3.08763i	−0.229350	−	0.104741i
$870$	3.27097	−	11.3046i	0.110896	−	0.383262i
$871$	−4.23986	−	8.22419i	−0.143662	−	0.278666i
$872$	−1.69430	−	8.79087i	−0.0573763	−	0.297696i
$873$	28.0672	+	28.9752i	0.949932	+	0.980661i
$874$	8.67771	−	15.3046i	0.293528	−	0.517685i
$875$	−8.77720	+	7.47837i	−0.296723	+	0.252815i
$876$	−0.211637	−	4.10245i	−0.00715055	−	0.138609i
$877$	1.88796	−	39.6333i	0.0637520	−	1.33832i	−0.709718	−	0.704486i	$-0.751177\pi$
$877$	1.88796	−	39.6333i	0.0637520	−	1.33832i	0.773470	−	0.633833i	$-0.218520\pi$
$878$	−0.605359	−	0.476060i	−0.0204299	−	0.0160662i
$879$	22.0119	+	0.961598i	0.742444	+	0.0324339i
$880$	−8.11964	−	10.3250i	−0.273713	−	0.348054i
$881$	2.98105	+	0.875316i	0.100434	+	0.0294901i	0.331564	−	0.943433i	$-0.392424\pi$
$881$	2.98105	+	0.875316i	0.100434	+	0.0294901i	−0.231129	+	0.972923i	$0.574242\pi$
$882$	20.8117	−	2.80603i	0.700766	−	0.0944841i
$883$	−1.28875	−	2.82197i	−0.0433699	−	0.0949669i	0.886707	−	0.462332i	$-0.152987\pi$
$883$	−1.28875	−	2.82197i	−0.0433699	−	0.0949669i	−0.930077	+	0.367365i	$0.880260\pi$
$884$	−17.3149	+	18.1594i	−0.582364	+	0.610766i
$885$	30.5667	+	10.4445i	1.02749	+	0.351087i
$886$	3.00926	+	8.69467i	0.101098	+	0.292103i
$887$	−31.3551	−	29.8970i	−1.05280	−	1.00384i	−0.999986	−	0.00523944i	$-0.998332\pi$
$887$	−31.3551	−	29.8970i	−1.05280	−	1.00384i	−0.0528148	−	0.998604i	$-0.516819\pi$
$888$	2.46501	−	10.3387i	0.0827204	−	0.346942i
$889$	−2.37666	+	7.85158i	−0.0797107	+	0.263333i
$890$	6.65022	−	22.6486i	0.222916	−	0.759181i
$891$	37.1326	+	16.2552i	1.24399	+	0.544570i
$892$	19.5041	−	13.8888i	0.653046	−	0.465032i
$893$	−21.8525	+	27.7877i	−0.731266	+	0.929880i
$894$	−10.0545	−	8.64314i	−0.336274	−	0.289070i
$895$	23.3320	−	20.2173i	0.779902	−	0.675789i
$896$	−0.886141	+	2.49294i	−0.0296039	+	0.0832833i
$897$	25.4769	+	12.7579i	0.850648	+	0.425975i
$898$	−20.1708	−	34.9369i	−0.673109	−	1.16586i
$899$	−10.4605	+	2.01609i	−0.348877	+	0.0672405i
$900$	−6.94949	−	7.89351i	−0.231650	−	0.263117i
$901$	−29.0779	−	72.6330i	−0.968724	−	2.41976i
$902$	3.07734	−	6.73843i	0.102464	−	0.224365i
$903$	−7.88367	+	22.4589i	−0.262352	+	0.747387i
$904$	−17.5817	−	5.16245i	−0.584759	−	0.171701i
$905$	9.49236	−	18.4126i	0.315537	−	0.612056i
$906$	−9.87414	−	9.34093i	−0.328046	−	0.310332i
$907$	−3.67610	+	15.1531i	−0.122063	+	0.503150i	0.877653	+	0.479297i	$0.159108\pi$
$907$	−3.67610	+	15.1531i	−0.122063	+	0.503150i	−0.999715	+	0.0238525i	$0.992407\pi$
$908$	−5.45705	−	1.05176i	−0.181099	−	0.0349039i
$909$	−36.2264	−	18.3159i	−1.20155	−	0.607500i
$910$	11.9316	+	23.6254i	0.395530	+	0.783173i
$911$	−7.70090	+	3.51688i	−0.255142	+	0.116520i	−0.538880	−	0.842382i	$-0.681153\pi$
$911$	−7.70090	+	3.51688i	−0.255142	+	0.116520i	0.283738	+	0.958902i	$0.408425\pi$
$912$	−2.66233	−	5.76938i	−0.0881585	−	0.191043i
$913$	−19.3289	−	20.2715i	−0.639692	−	0.670889i
$914$	−6.88210	+	17.1906i	−0.227640	+	0.568616i
$915$	−45.3290	−	28.8793i	−1.49853	−	0.954720i
$916$	−24.8399	−	3.57144i	−0.820733	−	0.118004i
$917$	4.36406	+	5.64553i	0.144114	+	0.186432i
$918$	36.3408	−	11.1391i	1.19943	−	0.367647i
$919$	−16.9628	−	29.3805i	−0.559553	−	0.969174i	−0.997534	−	0.0701893i	$-0.977640\pi$
$919$	−16.9628	−	29.3805i	−0.559553	−	0.969174i	0.437981	−	0.898984i	$-0.355694\pi$
$920$	1.43804	+	13.9126i	0.0474107	+	0.458685i
$921$	26.1508	−	10.5890i	0.861698	−	0.348920i
$922$	−15.2705	−	5.28516i	−0.502906	−	0.174057i
$923$	−18.2733	−	11.7436i	−0.601474	−	0.386544i
$924$	2.05204	−	20.5370i	0.0675073	−	0.675617i
$925$	8.93621	−	19.5676i	0.293821	−	0.643378i
$926$	0.0529197	+	0.0672928i	0.00173905	+	0.00221138i
$927$	6.85588	−	10.8552i	0.225177	−	0.356531i
$928$	0.110852	+	2.32707i	0.00363889	+	0.0763897i
$929$	11.0836	−	15.5648i	0.363641	−	0.510663i	−0.591704	−	0.806156i	$-0.701544\pi$
$929$	11.0836	−	15.5648i	0.363641	−	0.510663i	0.955345	+	0.295493i	$0.0954838\pi$
$930$	−8.50025	+	21.4776i	−0.278734	+	0.704278i
$931$	24.1239	+	8.80213i	0.790628	+	0.288478i
$932$	2.97544	+	2.57824i	0.0974639	+	0.0844530i
$933$	−33.0025	+	4.87792i	−1.08045	+	0.159696i
$934$	0.136431	−	1.42877i	0.00446417	−	0.0467509i
$935$	95.9748	−	4.57184i	3.13871	−	0.149515i
$936$	9.10898	−	4.78729i	0.297736	−	0.156477i
$937$	−44.5478	+	6.40501i	−1.45531	+	0.209242i	−0.824134	−	0.566395i	$-0.808338\pi$
$937$	−44.5478	+	6.40501i	−1.45531	+	0.209242i	−0.631179	+	0.775637i	$0.717429\pi$
$938$	6.86434	−	1.95358i	0.224129	−	0.0637867i
$939$	36.4099	−	34.9918i	1.18819	−	1.14192i
$940$	1.33723	−	28.0719i	0.0436156	−	0.915604i
$941$	−25.8013	+	4.97279i	−0.841099	+	0.162108i	−0.591565	−	0.806258i	$-0.701490\pi$
$941$	−25.8013	+	4.97279i	−0.841099	+	0.162108i	−0.249534	+	0.968366i	$0.580277\pi$
$942$	9.83210	+	24.2815i	0.320347	+	0.791135i
$943$	−6.60245	+	4.31624i	−0.215005	+	0.140556i
$944$	−6.39461			−0.208127
$945$	1.76776	−	40.0554i	0.0575052	−	1.30300i
$946$	19.6799	+	12.6475i	0.639849	+	0.411206i
$947$	−3.42802	−	8.56279i	−0.111396	−	0.278253i	0.862186	−	0.506592i	$-0.169095\pi$
$947$	−3.42802	−	8.56279i	−0.111396	−	0.278253i	−0.973582	+	0.228339i	$0.926671\pi$
$948$	2.85565	+	0.124750i	0.0927472	+	0.00405169i
$949$	7.55248	+	3.02356i	0.245164	+	0.0981489i
$950$	−3.03193	−	12.4978i	−0.0983688	−	0.405482i
$951$	−13.1076	−	1.19950i	−0.425043	−	0.0388964i
$952$	−11.0945	−	15.8580i	−0.359573	−	0.513959i
$953$	4.85477	+	16.5338i	0.157262	+	0.535584i	0.999996	−	0.00274544i	$-0.000873902\pi$
$953$	4.85477	+	16.5338i	0.157262	+	0.535584i	−0.842735	+	0.538329i	$0.819056\pi$
$954$	1.77939	+	32.0371i	0.0576100	+	1.03724i
$955$	−49.3534	+	17.0814i	−1.59704	+	0.552741i
$956$	−6.03946	−	1.46516i	−0.195330	−	0.0473866i
$957$	−5.18886	−	17.4173i	−0.167732	−	0.563022i
$958$	14.9057	+	23.1937i	0.481580	+	0.749353i
$959$	40.0051	+	4.15664i	1.29183	+	0.134225i
$960$	4.38458	+	2.50844i	0.141512	+	0.0809596i
$961$	−10.0449	+	0.959169i	−0.324028	+	0.0309409i
$962$	16.5452	+	13.0113i	0.533437	+	0.419500i
$963$	−17.2383	+	15.1767i	−0.555496	+	0.489061i
$964$	7.47956	+	2.58870i	0.240900	+	0.0833765i
$965$	−18.0840			−0.582144
$966$	−13.5265	+	17.3215i	−0.435208	+	0.557310i
$967$	−14.3011			−0.459892			−0.229946	−	0.973203i	$-0.573855\pi$
$967$	−14.3011			−0.459892			−0.229946	+	0.973203i	$0.573855\pi$
$968$	−8.77405	−	3.03673i	−0.282009	−	0.0976041i
$969$	45.6740	+	8.61633i	1.46726	+	0.276796i
$970$	−30.8263	−	24.2420i	−0.989772	−	0.778365i
$971$	19.2075	−	1.83409i	0.616398	−	0.0588588i	0.217813	−	0.975990i	$-0.430108\pi$
$971$	19.2075	−	1.83409i	0.616398	−	0.0588588i	0.398584	+	0.917132i	$0.369502\pi$
$972$	−15.5824	−	0.434676i	−0.499806	−	0.0139423i
$973$	24.0625	+	53.8728i	0.771408	+	1.72708i
$974$	−9.61632	−	14.9633i	−0.308127	−	0.479455i
$975$	19.9603	−	5.94646i	0.639242	−	0.190439i
$976$	10.3400	+	2.50847i	0.330977	+	0.0802941i
$977$	−17.7846	+	6.15529i	−0.568978	+	0.196925i	−0.596384	−	0.802699i	$-0.703397\pi$
$977$	−17.7846	+	6.15529i	−0.568978	+	0.196925i	0.0274060	+	0.999624i	$0.491275\pi$
$978$	−13.8549	−	15.8626i	−0.443029	−	0.507229i
$979$	−10.2699	−	34.9762i	−0.328228	−	1.11784i
$980$	−19.6812	+	5.42441i	−0.628693	+	0.173276i
$981$	−19.5836	−	18.3803i	−0.625255	−	0.586837i
$982$	1.38692	+	5.71698i	0.0442586	+	0.182436i
$983$	−3.98317	−	1.59462i	−0.127043	−	0.0508605i	0.307270	−	0.951622i	$-0.400585\pi$
$983$	−3.98317	−	1.59462i	−0.127043	−	0.0508605i	−0.434313	+	0.900762i	$0.643009\pi$
$984$	−0.124334	+	2.84613i	−0.00396363	+	0.0907315i
$985$	−7.81439	−	19.5194i	−0.248987	−	0.621940i
$986$	−14.3364	−	9.21345i	−0.456564	−	0.293416i
$987$	32.0930	−	30.3328i	1.02153	−	0.965503i
$988$	12.5834			0.400332
$989$	−10.5244	−	22.5777i	−0.334656	−	0.717928i
$990$	−37.8958	−	10.8034i	−1.20441	−	0.343354i
$991$	−21.5770	+	4.15863i	−0.685417	+	0.132103i	−0.520059	−	0.854130i	$-0.674090\pi$
$991$	−21.5770	+	4.15863i	−0.685417	+	0.132103i	−0.165358	+	0.986234i	$0.552878\pi$
$992$	0.217577	−	4.56750i	0.00690808	−	0.145018i
$993$	5.32002	+	5.53562i	0.168826	+	0.175667i
$994$	11.6625	−	12.0290i	0.369913	−	0.381538i
$995$	−39.7180	+	5.71059i	−1.25915	+	0.181038i
$996$	9.81584	+	4.43606i	0.311027	+	0.140562i
$997$	13.9928	−	0.666559i	0.443156	−	0.0211101i	0.175182	−	0.984536i	$-0.443949\pi$
$997$	13.9928	−	0.666559i	0.443156	−	0.0211101i	0.267975	+	0.963426i	$0.413646\pi$
$998$	2.65138	−	27.7665i	0.0839279	−	0.878932i
$999$	−12.1998	−	29.4591i	−0.385986	−	0.932045i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.bd.a.59.13	✓	1280
3.2	odd	2	inner	966.2.bd.a.59.61	yes	1280
7.5	odd	6	inner	966.2.bd.a.887.57	yes	1280
21.5	even	6	inner	966.2.bd.a.887.25	yes	1280
23.16	even	11	inner	966.2.bd.a.269.25	yes	1280
69.62	odd	22	inner	966.2.bd.a.269.57	yes	1280
161.131	odd	66	inner	966.2.bd.a.131.61	yes	1280
483.131	even	66	inner	966.2.bd.a.131.13	yes	1280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.bd.a.59.13	✓	1280	1.1	even	1	trivial
966.2.bd.a.59.61	yes	1280	3.2	odd	2	inner
966.2.bd.a.131.13	yes	1280	483.131	even	66	inner
966.2.bd.a.131.61	yes	1280	161.131	odd	66	inner
966.2.bd.a.269.25	yes	1280	23.16	even	11	inner
966.2.bd.a.269.57	yes	1280	69.62	odd	22	inner
966.2.bd.a.887.25	yes	1280	21.5	even	6	inner
966.2.bd.a.887.57	yes	1280	7.5	odd	6	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.bd (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.945001 - 0.327068i) q^{2} +(-0.321085 + 1.70203i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-2.90323 + 0.277225i) q^{5} +(0.860105 - 1.50340i) q^{6} +(-2.41573 + 1.07900i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(-2.79381 - 1.09299i) q^{9} +O(q^{10})\)	\(q+(-0.945001 - 0.327068i) q^{2} +(-0.321085 + 1.70203i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-2.90323 + 0.277225i) q^{5} +(0.860105 - 1.50340i) q^{6} +(-2.41573 + 1.07900i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(-2.79381 - 1.09299i) q^{9} +(2.83423 + 0.687576i) q^{10} +(4.25615 - 1.47307i) q^{11} +(-1.30451 + 1.13940i) q^{12} +(-0.966377 - 3.29118i) q^{13} +(2.63578 - 0.229543i) q^{14} +(0.460340 - 5.03040i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-6.79098 - 2.71870i) q^{17} +(2.28267 + 1.94664i) q^{18} +(1.36345 + 3.40572i) q^{19} +(-2.45346 - 1.57674i) q^{20} +(-1.06083 - 4.45810i) q^{21} -4.50385 q^{22} +(4.05460 + 2.56129i) q^{23} +(1.60543 - 0.650072i) q^{24} +(3.44225 - 0.663439i) q^{25} +(-0.163212 + 3.42624i) q^{26} +(2.75736 - 4.40420i) q^{27} +(-2.56589 - 0.645159i) q^{28} +(-2.30599 + 0.331552i) q^{29} +(-2.08030 + 4.60317i) q^{30} +(4.56750 - 0.217577i) q^{31} +(0.0950560 - 0.995472i) q^{32} +(1.14062 + 7.71707i) q^{33} +(5.52829 + 4.79029i) q^{34} +(6.71430 - 3.80227i) q^{35} +(-1.52044 - 2.58617i) q^{36} +(3.55943 - 4.99851i) q^{37} +(-0.174554 - 3.66435i) q^{38} +(5.91197 - 0.588053i) q^{39} +(1.80282 + 2.29247i) q^{40} +(-0.683268 + 1.49615i) q^{41} +(-0.455619 + 4.55987i) q^{42} +(-4.36957 - 2.80815i) q^{43} +(4.25615 + 1.47307i) q^{44} +(8.41407 + 2.39870i) q^{45} +(-2.99389 - 3.74655i) q^{46} +(4.81816 + 8.34530i) q^{47} +(-1.72975 + 0.0892343i) q^{48} +(4.67154 - 5.21313i) q^{49} +(-3.46992 - 0.498899i) q^{50} +(6.80779 - 10.6855i) q^{51} +(1.27485 - 3.18442i) q^{52} +(7.38074 + 7.74070i) q^{53} +(-4.04618 + 3.26013i) q^{54} +(-11.9482 + 5.45656i) q^{55} +(2.21375 + 1.44889i) q^{56} +(-6.23442 + 1.22710i) q^{57} +(2.28760 + 0.440900i) q^{58} +(-1.50759 + 6.21436i) q^{59} +(3.47144 - 3.66960i) q^{60} +(4.87552 - 9.45719i) q^{61} +(-4.38746 - 1.28827i) q^{62} +(7.92843 - 0.374128i) q^{63} +(-0.415415 + 0.909632i) q^{64} +(3.71801 + 9.28714i) q^{65} +(1.44612 - 7.66569i) q^{66} +(2.64876 - 0.510506i) q^{67} +(-3.65749 - 6.33495i) q^{68} +(-5.66126 + 6.07866i) q^{69} +(-7.58863 + 1.39712i) q^{70} +(4.78585 - 4.14697i) q^{71} +(0.590963 + 2.94122i) q^{72} +(-1.46609 + 1.86428i) q^{73} +(-4.99851 + 3.55943i) q^{74} +(0.0239374 + 6.07183i) q^{75} +(-1.03354 + 3.51990i) q^{76} +(-8.69228 + 8.15090i) q^{77} +(-5.77915 - 1.37791i) q^{78} +(-1.19437 - 1.13883i) q^{79} +(-0.953873 - 2.75603i) q^{80} +(6.61073 + 6.10723i) q^{81} +(1.13503 - 1.19039i) q^{82} +(-2.58348 - 5.65703i) q^{83} +(1.92195 - 4.16006i) q^{84} +(20.4695 + 6.01038i) q^{85} +(3.21079 + 4.08285i) q^{86} +(0.176110 - 4.03132i) q^{87} +(-3.54027 - 2.78410i) q^{88} +(0.385113 - 8.08452i) q^{89} +(-7.16677 - 5.01874i) q^{90} +(5.88568 + 6.90789i) q^{91} +(1.60385 + 4.51970i) q^{92} +(-1.09624 + 7.84389i) q^{93} +(-1.82369 - 9.46219i) q^{94} +(-4.90255 - 9.50961i) q^{95} +(1.66380 + 0.481420i) q^{96} +(-12.2316 - 5.58597i) q^{97} +(-6.11965 + 3.39851i) q^{98} +(-13.5009 - 0.536473i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1280 q - 64 q^{4} + 4 q^{9}+O(q^{10}) \) 1280 * q - 64 * q^4 + 4 * q^9	\( 1280 q - 64 q^{4} + 4 q^{9} + 16 q^{15} + 64 q^{16} - 44 q^{18} + 120 q^{21} - 16 q^{22} - 12 q^{24} + 56 q^{25} + 32 q^{30} - 24 q^{33} + 8 q^{36} - 44 q^{37} - 20 q^{39} + 4 q^{42} + 136 q^{43} + 12 q^{45} + 12 q^{46} + 92 q^{49} + 4 q^{51} - 36 q^{54} - 56 q^{57} - 28 q^{58} + 8 q^{60} + 72 q^{61} - 134 q^{63} + 128 q^{64} + 24 q^{67} - 72 q^{70} - 44 q^{72} - 72 q^{73} + 48 q^{75} - 16 q^{78} - 72 q^{79} + 40 q^{81} + 48 q^{82} - 10 q^{84} - 32 q^{85} + 222 q^{87} - 8 q^{88} - 8 q^{91} - 16 q^{93} + 72 q^{94} - 12 q^{96} - 68 q^{99}+O(q^{100}) \) 1280 * q - 64 * q^4 + 4 * q^9 + 16 * q^15 + 64 * q^16 - 44 * q^18 + 120 * q^21 - 16 * q^22 - 12 * q^24 + 56 * q^25 + 32 * q^30 - 24 * q^33 + 8 * q^36 - 44 * q^37 - 20 * q^39 + 4 * q^42 + 136 * q^43 + 12 * q^45 + 12 * q^46 + 92 * q^49 + 4 * q^51 - 36 * q^54 - 56 * q^57 - 28 * q^58 + 8 * q^60 + 72 * q^61 - 134 * q^63 + 128 * q^64 + 24 * q^67 - 72 * q^70 - 44 * q^72 - 72 * q^73 + 48 * q^75 - 16 * q^78 - 72 * q^79 + 40 * q^81 + 48 * q^82 - 10 * q^84 - 32 * q^85 + 222 * q^87 - 8 * q^88 - 8 * q^91 - 16 * q^93 + 72 * q^94 - 12 * q^96 - 68 * q^99

Introduction

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