LMFDB - Embedded newform 966.2.be.a.493.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(19,966)]

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([0, 55, 45]))

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

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

chi := DirichletCharacter("966.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.be (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:	$320$
Relative dimension:	$16$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			493.2
Character	$\chi$	$=$	966.493
Dual form			966.2.be.a.145.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.327068 - 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-1.97434 + 0.188527i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-0.675577 + 2.55805i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})$	\(q+(0.327068 - 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-1.97434 + 0.188527i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-0.675577 + 2.55805i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.467586 + 1.92742i) q^{10} +(2.38721 - 0.826221i) q^{11} +(-0.189251 + 0.981929i) q^{12} +(0.570271 + 1.94216i) q^{13} +(2.19640 + 1.47508i) q^{14} +(1.07226 + 1.66848i) q^{15} +(0.235759 + 0.971812i) q^{16} +(3.52938 + 1.41295i) q^{17} +(0.580057 + 0.814576i) q^{18} +(4.92396 - 1.97126i) q^{19} +(1.66848 + 1.07226i) q^{20} +(2.58325 - 0.571688i) q^{21} -2.52614i q^{22} +(2.28892 - 4.21436i) q^{23} +(0.866025 + 0.500000i) q^{24} +(-1.04716 + 0.201824i) q^{25} +(2.02186 + 0.0963133i) q^{26} +(0.989821 + 0.142315i) q^{27} +(2.11232 - 1.59315i) q^{28} +(-0.905767 - 6.29975i) q^{29} +(1.92742 - 0.467586i) q^{30} +(0.745307 - 0.0355033i) q^{31} +(0.995472 + 0.0950560i) q^{32} +(-1.82826 - 1.74324i) q^{33} +(2.48959 - 2.87314i) q^{34} +(0.851559 - 5.17782i) q^{35} +(0.959493 - 0.281733i) q^{36} +(-0.924857 - 0.658588i) q^{37} +(-0.252369 - 5.29788i) q^{38} +(1.46495 - 1.39683i) q^{39} +(1.55900 - 1.22601i) q^{40} +(10.0317 + 4.58134i) q^{41} +(0.304652 - 2.62815i) q^{42} +(-2.01093 + 3.12907i) q^{43} +(-2.38721 - 0.826221i) q^{44} +(0.991661 - 1.71761i) q^{45} +(-3.23394 - 3.54142i) q^{46} +(-1.95670 + 1.12970i) q^{47} +(0.755750 - 0.654861i) q^{48} +(-6.08719 - 3.45631i) q^{49} +(-0.151769 + 1.05558i) q^{50} +(-0.361375 - 3.78449i) q^{51} +(0.752303 - 1.87916i) q^{52} +(6.02339 + 6.31715i) q^{53} +(0.458227 - 0.888835i) q^{54} +(-4.55740 + 2.08129i) q^{55} +(-0.814653 - 2.51721i) q^{56} +(-4.00841 - 3.47331i) q^{57} +(-6.24951 - 1.20449i) q^{58} +(8.15625 + 1.97869i) q^{59} +(0.188527 - 1.97434i) q^{60} +(7.45815 + 3.84495i) q^{61} +(0.210215 - 0.715928i) q^{62} +(-1.69185 - 2.03412i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-1.49206 - 3.72698i) q^{65} +(-2.24533 + 1.15755i) q^{66} +(1.65585 + 8.59138i) q^{67} +(-1.90085 - 3.29237i) q^{68} +(-4.79472 - 0.103345i) q^{69} +(-4.61453 - 2.49822i) q^{70} +(-5.71818 - 6.59913i) q^{71} +(0.0475819 - 0.998867i) q^{72} +(3.00679 - 3.82345i) q^{73} +(-0.924857 + 0.658588i) q^{74} +(0.659225 + 0.838273i) q^{75} +(-5.08904 - 1.49428i) q^{76} +(0.500768 + 6.66476i) q^{77} +(-0.840865 - 1.84124i) q^{78} +(6.24730 - 6.55198i) q^{79} +(-0.648681 - 1.87424i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(7.61043 - 7.98159i) q^{82} +(7.56099 + 16.5563i) q^{83} +(-2.38396 - 1.14748i) q^{84} +(-7.23458 - 2.12426i) q^{85} +(2.29926 + 2.92375i) q^{86} +(-5.18439 + 3.69179i) q^{87} +(-1.56156 + 1.98568i) q^{88} +(0.832943 - 17.4856i) q^{89} +(-1.29880 - 1.49889i) q^{90} +(-5.35341 + 0.146698i) q^{91} +(-4.40436 + 1.89779i) q^{92} +(-0.373076 - 0.646187i) q^{93} +(0.427594 + 2.21857i) q^{94} +(-9.34994 + 4.82023i) q^{95} +(-0.371662 - 0.928368i) q^{96} +(-0.578590 + 1.26694i) q^{97} +(-5.25714 + 4.62195i) q^{98} +(-0.711697 + 2.42382i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9}+O(q^{10}) $ 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9	$ 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) $ 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9 - 22 * q^14 + 16 * q^16 + 66 * q^17 + 16 * q^18 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

Coefficient data

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

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

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

$2$	0.327068	−	0.945001i	0.231272	−	0.668216i
$2$	0.327068	−	0.945001i	0.231272	−	0.668216i
$3$	−0.458227	−	0.888835i	−0.264557	−	0.513169i
$3$	−0.458227	−	0.888835i	−0.264557	−	0.513169i
$4$	−0.786053	−	0.618159i	−0.393027	−	0.309079i
$5$	−1.97434	+	0.188527i	−0.882952	+	0.0843117i	−0.526673	−	0.850068i	$-0.676561\pi$
$5$	−1.97434	+	0.188527i	−0.882952	+	0.0843117i	−0.356279	+	0.934380i	$0.615955\pi$
$6$	−0.989821	+	0.142315i	−0.404093	+	0.0580998i
$7$	−0.675577	+	2.55805i	−0.255344	+	0.966850i
$7$	−0.675577	+	2.55805i	−0.255344	+	0.966850i
$8$	−0.841254	+	0.540641i	−0.297428	+	0.191145i
$9$	−0.580057	+	0.814576i	−0.193352	+	0.271525i
$10$	−0.467586	+	1.92742i	−0.147864	+	0.609502i
$11$	2.38721	−	0.826221i	0.719770	−	0.249115i	0.0574633	−	0.998348i	$-0.481699\pi$
$11$	2.38721	−	0.826221i	0.719770	−	0.249115i	0.662307	+	0.749233i	$0.269578\pi$
$12$	−0.189251	+	0.981929i	−0.0546321	+	0.283458i
$13$	0.570271	+	1.94216i	0.158165	+	0.538659i	0.999999	−	0.00107596i	$-0.000342488\pi$
$13$	0.570271	+	1.94216i	0.158165	+	0.538659i	−0.841835	+	0.539735i	$0.818524\pi$
$14$	2.19640	+	1.47508i	0.587011	+	0.394230i
$15$	1.07226	+	1.66848i	0.276858	+	0.430799i
$16$	0.235759	+	0.971812i	0.0589397	+	0.242953i
$17$	3.52938	+	1.41295i	0.856000	+	0.342691i	0.757809	−	0.652477i	$-0.226270\pi$
$17$	3.52938	+	1.41295i	0.856000	+	0.342691i	0.0981914	+	0.995168i	$0.468694\pi$
$18$	0.580057	+	0.814576i	0.136721	+	0.191997i
$19$	4.92396	−	1.97126i	1.12963	−	0.452237i	0.269854	−	0.962901i	$-0.413025\pi$
$19$	4.92396	−	1.97126i	1.12963	−	0.452237i	0.859780	+	0.510664i	$0.170600\pi$
$20$	1.66848	+	1.07226i	0.373083	+	0.239766i
$21$	2.58325	−	0.571688i	0.563711	−	0.124753i
$22$		−	2.52614i		−	0.538576i
$23$	2.28892	−	4.21436i	0.477274	−	0.878755i
$23$	2.28892	−	4.21436i	0.477274	−	0.878755i
$24$	0.866025	+	0.500000i	0.176777	+	0.102062i
$25$	−1.04716	+	0.201824i	−0.209432	+	0.0403648i
$26$	2.02186	+	0.0963133i	0.396520	+	0.0188886i
$27$	0.989821	+	0.142315i	0.190491	+	0.0273885i
$28$	2.11232	−	1.59315i	0.399191	−	0.301076i
$29$	−0.905767	−	6.29975i	−0.168197	−	1.16983i	−0.882609	−	0.470108i	$-0.844215\pi$
$29$	−0.905767	−	6.29975i	−0.168197	−	1.16983i	0.714412	−	0.699725i	$-0.246694\pi$
$30$	1.92742	−	0.467586i	0.351896	−	0.0853691i
$31$	0.745307	−	0.0355033i	0.133861	−	0.00637659i	0.0194556	−	0.999811i	$-0.493807\pi$
$31$	0.745307	−	0.0355033i	0.133861	−	0.00637659i	0.114406	+	0.993434i	$0.463504\pi$
$32$	0.995472	+	0.0950560i	0.175976	+	0.0168037i
$33$	−1.82826	−	1.74324i	−0.318258	−	0.303459i
$34$	2.48959	−	2.87314i	0.426960	−	0.492739i
$35$	0.851559	−	5.17782i	0.143940	−	0.875211i
$36$	0.959493	−	0.281733i	0.159915	−	0.0469554i
$37$	−0.924857	−	0.658588i	−0.152046	−	0.108271i	0.501502	−	0.865156i	$-0.332781\pi$
$37$	−0.924857	−	0.658588i	−0.152046	−	0.108271i	−0.653548	+	0.756885i	$0.726720\pi$
$38$	−0.252369	−	5.29788i	−0.0409397	−	0.859430i
$39$	1.46495	−	1.39683i	0.234580	−	0.223671i
$40$	1.55900	−	1.22601i	0.246499	−	0.193849i
$41$	10.0317	+	4.58134i	1.56669	+	0.715485i	0.994510	−	0.104641i	$-0.0333693\pi$
$41$	10.0317	+	4.58134i	1.56669	+	0.715485i	0.572183	+	0.820126i	$0.306097\pi$
$42$	0.304652	−	2.62815i	0.0470089	−	0.405533i
$43$	−2.01093	+	3.12907i	−0.306664	+	0.477178i	−0.960043	−	0.279853i	$-0.909714\pi$
$43$	−2.01093	+	3.12907i	−0.306664	+	0.477178i	0.653379	+	0.757031i	$0.273351\pi$
$44$	−2.38721	−	0.826221i	−0.359885	−	0.124557i
$45$	0.991661	−	1.71761i	0.147828	−	0.256046i
$46$	−3.23394	−	3.54142i	−0.476818	−	0.522153i
$47$	−1.95670	+	1.12970i	−0.285413	+	0.164784i	−0.635872	−	0.771795i	$-0.719359\pi$
$47$	−1.95670	+	1.12970i	−0.285413	+	0.164784i	0.350458	+	0.936578i	$0.386026\pi$
$48$	0.755750	−	0.654861i	0.109083	−	0.0945210i
$49$	−6.08719	−	3.45631i	−0.869599	−	0.493759i
$50$	−0.151769	+	1.05558i	−0.0214634	+	0.149281i
$51$	−0.361375	−	3.78449i	−0.0506026	−	0.529934i
$52$	0.752303	−	1.87916i	0.104326	−	0.260593i
$53$	6.02339	+	6.31715i	0.827376	+	0.867727i	0.992958	−	0.118469i	$-0.0377986\pi$
$53$	6.02339	+	6.31715i	0.827376	+	0.867727i	−0.165582	+	0.986196i	$0.552950\pi$
$54$	0.458227	−	0.888835i	0.0623567	−	0.120955i
$55$	−4.55740	+	2.08129i	−0.614519	+	0.280642i
$56$	−0.814653	−	2.51721i	−0.108863	−	0.336376i
$57$	−4.00841	−	3.47331i	−0.530927	−	0.460051i
$58$	−6.24951	−	1.20449i	−0.820601	−	0.158158i
$59$	8.15625	+	1.97869i	1.06185	+	0.257603i	0.728392	−	0.685161i	$-0.240268\pi$
$59$	8.15625	+	1.97869i	1.06185	+	0.257603i	0.333462	+	0.942764i	$0.391783\pi$
$60$	0.188527	−	1.97434i	0.0243387	−	0.254886i
$61$	7.45815	+	3.84495i	0.954919	+	0.492295i	0.863960	−	0.503560i	$-0.167977\pi$
$61$	7.45815	+	3.84495i	0.954919	+	0.492295i	0.0909584	+	0.995855i	$0.471007\pi$
$62$	0.210215	−	0.715928i	0.0266974	−	0.0909229i
$63$	−1.69185	−	2.03412i	−0.213153	−	0.256275i
$64$	0.415415	−	0.909632i	0.0519269	−	0.113704i
$65$	−1.49206	−	3.72698i	−0.185067	−	0.462275i
$66$	−2.24533	+	1.15755i	−0.276380	+	0.142484i
$67$	1.65585	+	8.59138i	0.202295	+	1.04960i	0.931067	+	0.364848i	$0.118879\pi$
$67$	1.65585	+	8.59138i	0.202295	+	1.04960i	−0.728772	+	0.684756i	$0.759909\pi$
$68$	−1.90085	−	3.29237i	−0.230512	−	0.399259i
$69$	−4.79472	−	0.103345i	−0.577216	−	0.0124413i
$70$	−4.61453	−	2.49822i	−0.551541	−	0.298595i
$71$	−5.71818	−	6.59913i	−0.678623	−	0.783172i	0.307077	−	0.951685i	$-0.400649\pi$
$71$	−5.71818	−	6.59913i	−0.678623	−	0.783172i	−0.985700	+	0.168512i	$0.946104\pi$
$72$	0.0475819	−	0.998867i	0.00560758	−	0.117718i
$73$	3.00679	−	3.82345i	0.351918	−	0.447501i	−0.577576	−	0.816337i	$-0.696001\pi$
$73$	3.00679	−	3.82345i	0.351918	−	0.447501i	0.929494	+	0.368836i	$0.120244\pi$
$74$	−0.924857	+	0.658588i	−0.107512	+	0.0765593i
$75$	0.659225	+	0.838273i	0.0761208	+	0.0967954i
$76$	−5.08904	−	1.49428i	−0.583753	−	0.171405i
$77$	0.500768	+	6.66476i	0.0570678	+	0.759520i
$78$	−0.840865	−	1.84124i	−0.0952092	−	0.208479i
$79$	6.24730	−	6.55198i	0.702877	−	0.737156i	−0.271411	−	0.962464i	$-0.587490\pi$
$79$	6.24730	−	6.55198i	0.702877	−	0.737156i	0.974288	+	0.225308i	$0.0723388\pi$
$80$	−0.648681	−	1.87424i	−0.0725248	−	0.209547i
$81$	−0.327068	−	0.945001i	−0.0363409	−	0.105000i
$82$	7.61043	−	7.98159i	0.840431	−	0.881419i
$83$	7.56099	+	16.5563i	0.829926	+	1.81729i	0.457378	+	0.889273i	$0.348789\pi$
$83$	7.56099	+	16.5563i	0.829926	+	1.81729i	0.372549	+	0.928013i	$0.378484\pi$
$84$	−2.38396	−	1.14748i	−0.260112	−	0.125200i
$85$	−7.23458	−	2.12426i	−0.784700	−	0.230409i
$86$	2.29926	+	2.92375i	0.247936	+	0.315276i
$87$	−5.18439	+	3.69179i	−0.555825	+	0.395801i
$88$	−1.56156	+	1.98568i	−0.166463	+	0.211674i
$89$	0.832943	−	17.4856i	0.0882918	−	1.85347i	−0.328540	−	0.944490i	$-0.606557\pi$
$89$	0.832943	−	17.4856i	0.0882918	−	1.85347i	0.416832	−	0.908983i	$-0.363140\pi$
$90$	−1.29880	−	1.49889i	−0.136906	−	0.157997i
$91$	−5.35341	+	0.146698i	−0.561189	+	0.0153781i
$92$	−4.40436	+	1.89779i	−0.459186	+	0.197858i
$93$	−0.373076	−	0.646187i	−0.0386862	−	0.0670064i
$94$	0.427594	+	2.21857i	0.0441029	+	0.228828i
$95$	−9.34994	+	4.82023i	−0.959284	+	0.494545i
$96$	−0.371662	−	0.928368i	−0.0379326	−	0.0947512i
$97$	−0.578590	+	1.26694i	−0.0587469	+	0.128638i	−0.936729	−	0.350056i	$-0.886162\pi$
$97$	−0.578590	+	1.26694i	−0.0587469	+	0.128638i	0.877982	+	0.478694i	$0.158890\pi$
$98$	−5.25714	+	4.62195i	−0.531052	+	0.466888i
$99$	−0.711697	+	2.42382i	−0.0715282	+	0.243603i
$100$	0.947884	+	0.488668i	0.0947884	+	0.0488668i
$101$	−0.344697	+	3.60983i	−0.0342986	+	0.359191i	0.961988	+	0.273092i	$0.0880463\pi$
$101$	−0.344697	+	3.60983i	−0.0342986	+	0.359191i	−0.996287	+	0.0860992i	$0.972560\pi$
$102$	−3.69454	−	0.896285i	−0.365814	−	0.0887455i
$103$	2.89394	+	0.557762i	0.285149	+	0.0549579i	0.329820	−	0.944044i	$-0.393012\pi$
$103$	2.89394	+	0.557762i	0.285149	+	0.0549579i	−0.0446713	+	0.999002i	$0.514224\pi$
$104$	−1.52976	−	1.32554i	−0.150005	−	0.129980i
$105$	−4.99244	+	1.61572i	−0.487212	+	0.157678i
$106$	7.93977	−	3.62597i	0.771178	−	0.352185i
$107$	2.16718	−	4.20374i	0.209509	−	0.406390i	−0.760543	−	0.649287i	$-0.775067\pi$
$107$	2.16718	−	4.20374i	0.209509	−	0.406390i	0.970052	+	0.242897i	$0.0780976\pi$
$108$	−0.690079	−	0.723734i	−0.0664029	−	0.0696413i
$109$	−4.64270	+	11.5969i	−0.444690	+	1.11078i	0.521568	+	0.853210i	$0.325347\pi$
$109$	−4.64270	+	11.5969i	−0.444690	+	1.11078i	−0.966259	+	0.257573i	$0.917077\pi$
$110$	0.476246	+	4.98747i	0.0454082	+	0.475537i
$111$	−0.161582	+	1.12383i	−0.0153367	+	0.106669i
$112$	−2.64521	−	0.0534511i	−0.249949	−	0.00505065i
$113$	9.91111	−	8.58803i	0.932359	−	0.807893i	−0.0492521	−	0.998786i	$-0.515684\pi$
$113$	9.91111	−	8.58803i	0.932359	−	0.807893i	0.981611	+	0.190893i	$0.0611383\pi$
$114$	−4.59330	+	2.65194i	−0.430202	+	0.248377i
$115$	−3.72460	+	8.75211i	−0.347320	+	0.816138i
$116$	−3.18226	+	5.51184i	−0.295466	+	0.511762i
$117$	−1.91283	−	0.662037i	−0.176841	−	0.0612053i
$118$	4.53751	−	7.06050i	0.417712	−	0.649972i
$119$	−5.99876	+	8.07376i	−0.549905	+	0.740120i
$120$	−1.80409	−	0.823902i	−0.164690	−	0.0752116i
$121$	−3.63047	+	2.85503i	−0.330042	+	0.259548i
$122$	6.07280	−	5.79040i	0.549805	−	0.524238i
$123$	−0.524750	−	11.0159i	−0.0473151	−	0.993266i
$124$	−0.607797	−	0.432811i	−0.0545818	−	0.0388675i
$125$	11.5443	−	3.38972i	1.03256	−	0.303186i
$126$	−2.47560	+	0.933503i	−0.220544	+	0.0831631i
$127$	4.78672	−	5.52416i	0.424752	−	0.490190i	−0.502527	−	0.864562i	$-0.667596\pi$
$127$	4.78672	−	5.52416i	0.424752	−	0.490190i	0.927279	+	0.374372i	$0.122142\pi$
$128$	−0.723734	−	0.690079i	−0.0639697	−	0.0609949i
$129$	3.70269	+	0.353564i	0.326003	+	0.0311296i
$130$	−4.01001	+	0.191020i	−0.351701	+	0.0167536i
$131$	11.4667	−	2.78178i	1.00185	−	0.243046i	0.298898	−	0.954285i	$-0.403381\pi$
$131$	11.4667	−	2.78178i	1.00185	−	0.243046i	0.702950	+	0.711240i	$0.251866\pi$
$132$	0.359508	+	2.50043i	0.0312911	+	0.217635i
$133$	1.71605	+	13.9274i	0.148800	+	1.20766i
$134$	8.66044	+	1.24518i	0.748148	+	0.107567i
$135$	−1.98108	−	0.0943703i	−0.170504	−	0.00812210i
$136$	−3.73300	+	0.719477i	−0.320102	+	0.0616946i
$137$	2.46938	+	1.42570i	0.210973	+	0.121805i	0.601764	−	0.798674i	$-0.294465\pi$
$137$	2.46938	+	1.42570i	0.210973	+	0.121805i	−0.390790	+	0.920480i	$0.627798\pi$
$138$	−1.66586	+	4.49721i	−0.141807	+	0.382828i
$139$			19.5221i			1.65584i	0.560846	+	0.827920i	$0.310476\pi$
$139$			19.5221i			1.65584i	−0.560846	+	0.827920i	$0.689524\pi$
$140$	−3.87009	+	3.54364i	−0.327082	+	0.299492i
$141$	1.90073	+	1.22152i	0.160070	+	0.102871i
$142$	−8.10641	+	3.24532i	−0.680275	+	0.272341i
$143$	2.96601	+	4.16518i	0.248030	+	0.348310i
$144$	−0.928368	−	0.371662i	−0.0773640	−	0.0309719i
$145$	2.97596	+	12.2671i	0.247140	+	1.01873i
$146$	−2.62974	−	4.09195i	−0.217638	−	0.338652i
$147$	−0.282779	+	6.99429i	−0.0233232	+	0.576879i
$148$	0.319875	+	1.08939i	0.0262936	+	0.0895476i
$149$	3.24364	−	16.8296i	0.265729	−	1.37873i	−0.566390	−	0.824137i	$-0.691661\pi$
$149$	3.24364	−	16.8296i	0.265729	−	1.37873i	0.832119	−	0.554596i	$-0.187127\pi$
$150$	1.00778	−	0.348796i	0.0822849	−	0.0284791i
$151$	−2.52842	+	10.4223i	−0.205760	+	0.848154i	0.771521	+	0.636204i	$0.219496\pi$
$151$	−2.52842	+	10.4223i	−0.205760	+	0.848154i	−0.977281	+	0.211950i	$0.932019\pi$
$152$	−3.07656	+	4.32042i	−0.249542	+	0.350432i
$153$	−3.19820	+	2.05536i	−0.258559	+	0.166166i
$154$	6.46199	+	1.70660i	0.520722	+	0.137522i
$155$	−1.46480	+	0.210606i	−0.117655	+	0.0169163i
$156$	−2.01499	+	0.192408i	−0.161328	+	0.0154050i
$157$	−15.7844	−	12.4130i	−1.25973	−	0.990666i	−0.999686	−	0.0250706i	$-0.992019\pi$
$157$	−15.7844	−	12.4130i	−1.25973	−	0.990666i	−0.260049	−	0.965595i	$-0.583739\pi$
$158$	−4.14834	−	8.04665i	−0.330024	−	0.640157i
$159$	2.85483	−	8.24849i	0.226403	−	0.654148i
$160$	−1.98332			−0.156795
$161$	9.23418	+	8.70229i	0.727755	+	0.685837i
$162$	−1.00000			−0.0785674
$163$	3.45291	−	9.97654i	0.270453	−	0.781423i	−0.725222	−	0.688515i	$-0.758263\pi$
$163$	3.45291	−	9.97654i	0.270453	−	0.781423i	0.995675	−	0.0929074i	$-0.0296160\pi$
$164$	−5.05348	−	9.80238i	−0.394610	−	0.765437i
$165$	3.93825	+	3.09707i	0.306592	+	0.241107i
$166$	18.1186	−	1.73012i	1.40628	−	0.134283i
$167$	−3.44474	+	0.495279i	−0.266562	+	0.0383258i	−0.274300	−	0.961644i	$-0.588446\pi$
$167$	−3.44474	+	0.495279i	−0.266562	+	0.0383258i	0.00773774	+	0.999970i	$0.497537\pi$
$168$	−1.86409	+	1.87754i	−0.143818	+	0.144856i
$169$	7.48950	−	4.81321i	0.576116	−	0.370247i
$170$	−4.37363	+	6.14190i	−0.335442	+	0.471063i
$171$	−1.25044	+	5.15438i	−0.0956235	+	0.394165i
$172$	3.51496	−	1.21654i	0.268013	−	0.0927602i
$173$	−2.52652	+	13.1088i	−0.192087	+	0.996644i	0.750041	+	0.661391i	$0.230034\pi$
$173$	−2.52652	+	13.1088i	−0.192087	+	0.996644i	−0.942128	+	0.335253i	$0.891178\pi$
$174$	1.79309	+	6.10672i	0.135934	+	0.462949i
$175$	0.191163	−	2.81503i	0.0144506	−	0.212797i
$176$	1.36574	+	2.12513i	0.102946	+	0.160187i
$177$	−1.97869	−	8.15625i	−0.148727	−	0.613062i
$178$	−16.2515	−	6.50612i	−1.21810	−	0.487655i
$179$	3.97880	+	5.58745i	0.297390	+	0.417626i	0.936052	−	0.351862i	$-0.114451\pi$
$179$	3.97880	+	5.58745i	0.297390	+	0.417626i	−0.638662	+	0.769487i	$0.720512\pi$
$180$	−1.84125	+	0.737126i	−0.137239	+	0.0549422i
$181$	−20.8133	−	13.3759i	−1.54704	−	0.994224i	−0.986059	−	0.166398i	$-0.946786\pi$
$181$	−20.8133	−	13.3759i	−1.54704	−	0.994224i	−0.560984	−	0.827827i	$-0.689577\pi$
$182$	−1.61230	+	5.10695i	−0.119511	+	0.378553i
$183$		−	8.39093i		−	0.620275i
$184$	0.352890	+	4.78283i	0.0260154	+	0.352595i
$185$	1.95015	+	1.12592i	0.143378	+	0.0827791i
$186$	−0.732668	+	0.141210i	−0.0537218	+	0.0103540i
$187$	9.59277	+	0.456960i	0.701493	+	0.0334162i
$188$	2.23640	+	0.321546i	0.163106	+	0.0234511i
$189$	−1.03275	+	2.43586i	−0.0751214	+	0.177183i
$190$	1.49706	+	10.4122i	0.108608	+	0.755384i
$191$	−17.8336	+	4.32639i	−1.29040	+	0.313047i	−0.821501	−	0.570207i	$-0.806863\pi$
$191$	−17.8336	+	4.32639i	−1.29040	+	0.313047i	−0.468896	+	0.883254i	$0.655348\pi$
$192$	−0.998867	+	0.0475819i	−0.0720870	+	0.00343393i
$193$	−13.4194	−	1.28139i	−0.965947	−	0.0922367i	−0.399854	−	0.916579i	$-0.630939\pi$
$193$	−13.4194	−	1.28139i	−0.965947	−	0.0922367i	−0.566092	+	0.824342i	$0.691545\pi$
$194$	1.00802	+	0.961142i	0.0723714	+	0.0690060i
$195$	−2.62897	+	3.03400i	−0.188265	+	0.217269i
$196$	2.64831	+	6.47970i	0.189165	+	0.462835i
$197$	0.686624	−	0.201611i	0.0489199	−	0.0143642i	−0.257181	−	0.966363i	$-0.582794\pi$
$197$	0.686624	−	0.201611i	0.0489199	−	0.0143642i	0.306101	+	0.951999i	$0.400975\pi$
$198$	2.05774	+	1.46531i	0.146237	+	0.104135i
$199$	0.582561	+	12.2295i	0.0412967	+	0.866924i	0.920563	+	0.390594i	$0.127730\pi$
$199$	0.582561	+	12.2295i	0.0412967	+	0.866924i	−0.879267	+	0.476330i	$0.841967\pi$
$200$	0.771814	−	0.735923i	0.0545755	−	0.0520376i
$201$	6.87757	−	5.40858i	0.485106	−	0.381492i
$202$	3.29855	+	1.50640i	0.232085	+	0.105990i
$203$	16.7270	+	1.93897i	1.17400	+	0.136089i
$204$	−2.05536	+	3.19820i	−0.143904	+	0.223919i
$205$	−20.6698	−	7.15388i	−1.44364	−	0.499648i
$206$	1.47360	−	2.55235i	0.102671	−	0.177831i
$207$	2.10521	+	4.30907i	0.146322	+	0.299501i
$208$	−1.75297	+	1.01208i	−0.121547	+	0.0701750i
$209$	10.1258	−	8.77407i	0.700418	−	0.606915i
$210$	−0.106011	+	5.24631i	−0.00731543	+	0.362030i
$211$	−1.21338	+	8.43922i	−0.0835323	+	0.580980i	0.904470	+	0.426538i	$0.140267\pi$
$211$	−1.21338	+	8.43922i	−0.0835323	+	0.580980i	−0.988002	+	0.154442i	$0.950642\pi$
$212$	−0.829701	−	8.68903i	−0.0569841	−	0.596765i
$213$	−3.24532	+	8.10641i	−0.222366	+	0.555442i
$214$	−3.26372	−	3.42289i	−0.223103	−	0.233984i
$215$	3.38035	−	6.55696i	0.230538	−	0.447181i
$216$	−0.909632	+	0.415415i	−0.0618926	+	0.0282654i
$217$	−0.412693	+	1.93051i	−0.0280154	+	0.131052i
$218$	9.44061	+	8.18034i	0.639399	+	0.554042i
$219$	−4.77621	−	0.920538i	−0.322746	−	0.0622042i
$220$	4.86893	+	1.18119i	0.328263	+	0.0796357i
$221$	−0.731479	+	7.66040i	−0.0492046	+	0.515294i
$222$	1.00917	+	0.520264i	0.0677311	+	0.0349178i
$223$	−2.50856	+	8.54336i	−0.167985	+	0.572106i	0.831868	+	0.554974i	$0.187272\pi$
$223$	−2.50856	+	8.54336i	−0.167985	+	0.572106i	−0.999853	+	0.0171319i	$0.994546\pi$
$224$	−0.915675	+	2.48224i	−0.0611811	+	0.165852i
$225$	0.443012	−	0.970062i	0.0295342	−	0.0646708i
$226$	−4.87408	−	12.1749i	−0.324219	−	0.809861i
$227$	−13.2942	+	6.85365i	−0.882369	+	0.454893i	−0.838978	−	0.544165i	$-0.816846\pi$
$227$	−13.2942	+	6.85365i	−0.882369	+	0.454893i	−0.0433912	+	0.999058i	$0.513816\pi$
$228$	1.00377	+	5.20804i	0.0664761	+	0.344911i
$229$	−14.7665	−	25.5762i	−0.975795	−	1.69013i	−0.677288	−	0.735718i	$-0.736845\pi$
$229$	−14.7665	−	25.5762i	−0.975795	−	1.69013i	−0.298507	−	0.954407i	$-0.596489\pi$
$230$	7.05255	+	6.38228i	0.465032	+	0.420835i
$231$	5.69441	−	3.49907i	0.374665	−	0.230222i
$232$	4.16788	+	4.80999i	0.273635	+	0.315791i
$233$	0.723517	−	15.1885i	0.0473992	−	0.995031i	−0.842449	−	0.538775i	$-0.818887\pi$
$233$	0.723517	−	15.1885i	0.0473992	−	0.995031i	0.889849	−	0.456256i	$-0.150810\pi$
$234$	−1.25125	+	1.59109i	−0.0817968	+	0.104013i
$235$	3.65021	−	2.59930i	0.238113	−	0.169560i
$236$	−5.18811	−	6.59721i	−0.337717	−	0.429442i
$237$	−8.68631	−	2.55053i	−0.564237	−	0.165675i
$238$	5.66770	+	8.30950i	0.367383	+	0.538625i
$239$	9.58514	+	20.9885i	0.620011	+	1.35763i	0.915511	+	0.402292i	$0.131786\pi$
$239$	9.58514	+	20.9885i	0.620011	+	1.35763i	−0.295500	+	0.955343i	$0.595486\pi$
$240$	−1.36865	+	1.43540i	−0.0883459	+	0.0926545i
$241$	7.51806	+	21.7220i	0.484281	+	1.39924i	0.877404	+	0.479752i	$0.159273\pi$
$241$	7.51806	+	21.7220i	0.484281	+	1.39924i	−0.393123	+	0.919486i	$0.628605\pi$
$242$	1.51060	+	4.36458i	0.0971048	+	0.280566i
$243$	−0.690079	+	0.723734i	−0.0442686	+	0.0464276i
$244$	−3.48572	−	7.63266i	−0.223150	−	0.488631i
$245$	12.6698	+	5.67634i	0.809444	+	0.362648i
$246$	−10.5816	−	3.10704i	−0.674659	−	0.198098i
$247$	6.63649	+	8.43899i	0.422270	+	0.536960i
$248$	−0.607797	+	0.432811i	−0.0385952	+	0.0274835i
$249$	11.2511	−	14.3070i	0.713012	−	0.906669i
$250$	0.572491	−	12.0181i	0.0362075	−	0.760089i
$251$	−3.13563	−	3.61871i	−0.197919	−	0.228411i	0.648111	−	0.761546i	$-0.275559\pi$
$251$	−3.13563	−	3.61871i	−0.197919	−	0.228411i	−0.846030	+	0.533135i	$0.821014\pi$
$252$	0.0724737	+	2.64476i	0.00456541	+	0.166604i
$253$	1.98214	−	11.9517i	0.124616	−	0.751397i
$254$	−3.65476	−	6.33023i	−0.229320	−	0.397194i
$255$	1.42695	+	7.40374i	0.0893594	+	0.463640i
$256$	−0.888835	+	0.458227i	−0.0555522	+	0.0286392i
$257$	5.50003	+	13.7384i	0.343082	+	0.856978i	0.995109	+	0.0987822i	$0.0314947\pi$
$257$	5.50003	+	13.7384i	0.343082	+	0.856978i	−0.652027	+	0.758196i	$0.726081\pi$
$258$	1.54515	−	3.38340i	0.0961967	−	0.210641i
$259$	2.30951	−	1.92090i	0.143506	−	0.119359i
$260$	−1.13103	+	3.85194i	−0.0701436	+	0.238887i
$261$	5.65702	+	2.91640i	0.350161	+	0.180520i
$262$	1.12159	−	11.7458i	0.0692922	−	0.725660i
$263$	−7.31880	−	1.77552i	−0.451297	−	0.109483i	0.00366722	−	0.999993i	$-0.498833\pi$
$263$	−7.31880	−	1.77552i	−0.451297	−	0.109483i	−0.454964	+	0.890510i	$0.650348\pi$
$264$	2.48049	+	0.478076i	0.152664	+	0.0294235i
$265$	−13.0832	−	11.3366i	−0.803693	−	0.696404i
$266$	13.7227	+	2.93355i	0.841394	+	0.179868i
$267$	−15.9235	+	7.27203i	−0.974504	+	0.445041i
$268$	4.00925	−	7.77686i	0.244904	−	0.475047i
$269$	−9.45168	−	9.91264i	−0.576279	−	0.604384i	0.369486	−	0.929236i	$-0.379534\pi$
$269$	−9.45168	−	9.91264i	−0.576279	−	0.604384i	−0.945765	+	0.324852i	$0.894685\pi$
$270$	−0.737126	+	1.84125i	−0.0448601	+	0.112055i
$271$	0.0930120	+	0.974066i	0.00565008	+	0.0591703i	0.997857	−	0.0654289i	$-0.0208416\pi$
$271$	0.0930120	+	0.974066i	0.00565008	+	0.0591703i	−0.992207	+	0.124599i	$0.960235\pi$
$272$	−0.541039	+	3.76301i	−0.0328053	+	0.228166i
$273$	2.58346	+	4.69108i	0.156358	+	0.283917i
$274$	2.15494	−	1.86726i	0.130185	−	0.112806i
$275$	−2.33304	+	1.34698i	−0.140688	+	0.0812260i
$276$	3.70502	+	3.04513i	0.223016	+	0.183295i
$277$	−7.77860	+	13.4729i	−0.467371	+	0.809510i	−0.999305	−	0.0372758i	$-0.988132\pi$
$277$	−7.77860	+	13.4729i	−0.467371	+	0.809510i	0.531934	+	0.846786i	$0.321465\pi$
$278$	18.4484	+	6.38504i	1.10646	+	0.382949i
$279$	−0.403400	+	0.627703i	−0.0241509	+	0.0375796i
$280$	2.08296	+	4.81625i	0.124481	+	0.287826i
$281$	−15.8232	−	7.22621i	−0.943933	−	0.431080i	−0.116844	−	0.993150i	$-0.537278\pi$
$281$	−15.8232	−	7.22621i	−0.943933	−	0.431080i	−0.827089	+	0.562070i	$0.810005\pi$
$282$	1.77601	−	1.39667i	0.105760	−	0.0831703i
$283$	4.02916	−	3.84179i	0.239509	−	0.228371i	−0.560812	−	0.827943i	$-0.689511\pi$
$283$	4.02916	−	3.84179i	0.239509	−	0.228371i	0.800321	+	0.599572i	$0.204663\pi$
$284$	0.415480	+	8.72201i	0.0246542	+	0.517556i
$285$	8.56878	+	6.10180i	0.507571	+	0.361440i
$286$	4.90618	−	1.44059i	0.290109	−	0.0851836i
$287$	−18.4965	+	22.5666i	−1.09181	+	1.33206i
$288$	−0.654861	+	0.755750i	−0.0385880	+	0.0445330i
$289$	−1.84339	−	1.75767i	−0.108435	−	0.103392i
$290$	12.5658	+	1.19988i	0.737886	+	0.0704596i
$291$	1.39122	−	0.0662721i	0.0815549	−	0.00388494i
$292$	−4.72700	+	1.14676i	−0.276627	+	0.0671089i
$293$	0.507072	+	3.52676i	0.0296234	+	0.206036i	0.999258	−	0.0385242i	$-0.0122657\pi$
$293$	0.507072	+	3.52676i	0.0296234	+	0.206036i	−0.969634	+	0.244560i	$0.921357\pi$
$294$	6.51712	+	2.55483i	0.380086	+	0.149001i
$295$	−16.4763	−	2.36893i	−0.959285	−	0.137924i
$296$	1.13410	+	0.0540238i	0.0659182	+	0.00314007i
$297$	2.48049	−	0.478076i	0.143933	−	0.0277408i
$298$	−14.8431	−	8.56966i	−0.859837	−	0.496427i
$299$	9.49028	+	2.04214i	0.548837	+	0.118100i
$300$		−	1.06643i		−	0.0615705i
$301$	−6.64576	−	7.25797i	−0.383055	−	0.418343i
$302$	9.02211	+	5.79816i	0.519164	+	0.333646i
$303$	3.36649	−	1.34774i	0.193400	−	0.0774256i
$304$	3.07656	+	4.32042i	0.176453	+	0.247793i
$305$	−15.4498	−	6.18517i	−0.884654	−	0.354162i
$306$	0.896285	+	3.69454i	0.0512372	+	0.211203i
$307$	14.1154	+	21.9640i	0.805607	+	1.25355i	0.963928	+	0.266162i	$0.0857555\pi$
$307$	14.1154	+	21.9640i	0.805607	+	1.25355i	−0.158321	+	0.987388i	$0.550608\pi$
$308$	3.72625	−	5.54841i	0.212323	−	0.316150i
$309$	−0.830323	−	2.82782i	−0.0472354	−	0.160869i
$310$	−0.280065	+	1.45312i	−0.0159066	+	0.0825315i
$311$	−9.66497	+	3.34508i	−0.548050	+	0.189682i	−0.587040	−	0.809558i	$-0.699707\pi$
$311$	−9.66497	+	3.34508i	−0.548050	+	0.189682i	0.0389904	+	0.999240i	$0.487586\pi$
$312$	−0.477213	+	1.96710i	−0.0270169	+	0.111365i
$313$	2.51410	−	3.53056i	0.142106	−	0.199559i	−0.737389	−	0.675468i	$-0.763941\pi$
$313$	2.51410	−	3.53056i	0.142106	−	0.199559i	0.879494	+	0.475909i	$0.157881\pi$
$314$	−16.8929	+	10.8564i	−0.953321	+	0.612662i
$315$	3.72377	+	3.69709i	0.209811	+	0.208307i
$316$	−8.96088	+	1.28838i	−0.504089	+	0.0724770i
$317$	−4.46539	+	0.426393i	−0.250801	+	0.0239486i	−0.219699	−	0.975568i	$-0.570508\pi$
$317$	−4.46539	+	0.426393i	−0.250801	+	0.0239486i	−0.0311017	+	0.999516i	$0.509902\pi$
$318$	−6.86110	−	5.39563i	−0.384752	−	0.302572i
$319$	−7.36723	−	14.2904i	−0.412486	−	0.800111i
$320$	−0.648681	+	1.87424i	−0.0362624	+	0.104773i
$321$	−4.72949			−0.263974
$322$	11.2439	−	5.88007i	0.626597	−	0.327683i
$323$	20.1638			1.12194
$324$	−0.327068	+	0.945001i	−0.0181704	+	0.0525000i
$325$	−0.989140	−	1.91866i	−0.0548676	−	0.106428i
$326$	−8.29850	−	6.52601i	−0.459611	−	0.361442i
$327$	12.4352	−	1.18741i	0.687666	−	0.0656641i
$328$	−10.9161	+	1.56950i	−0.602740	+	0.0866610i
$329$	−1.56792	−	5.76851i	−0.0864424	−	0.318029i
$330$	4.21481	−	2.70869i	0.232018	−	0.149109i
$331$	−10.7117	+	15.0424i	−0.588767	+	0.826807i	−0.996260	−	0.0864007i	$-0.972463\pi$
$331$	−10.7117	+	15.0424i	−0.588767	+	0.826807i	0.407494	+	0.913208i	$0.366403\pi$
$332$	4.29106	−	17.6880i	0.235503	−	0.970755i
$333$	1.07294	−	0.371348i	0.0587967	−	0.0203497i
$334$	−0.658625	+	3.41727i	−0.0360384	+	0.186985i
$335$	−4.88892	−	16.6501i	−0.267110	−	0.909695i
$336$	1.16460	+	2.37565i	0.0635340	+	0.129602i
$337$	−3.92119	−	6.10148i	−0.213601	−	0.332369i	0.717876	−	0.696171i	$-0.245115\pi$
$337$	−3.92119	−	6.10148i	−0.213601	−	0.332369i	−0.931476	+	0.363802i	$0.881478\pi$
$338$	−2.09891	−	8.65183i	−0.114166	−	0.470598i
$339$	−12.1749	−	4.87408i	−0.661248	−	0.264724i
$340$	4.37363	+	6.14190i	0.237193	+	0.333092i
$341$	1.74987	−	0.700542i	0.0947607	−	0.0379365i
$342$	4.46191	+	2.86750i	0.241273	+	0.155057i
$343$	12.9538	−	13.2363i	0.699438	−	0.714694i
$344$		−	3.71953i		−	0.200544i
$345$	9.48589	−	0.699894i	0.510703	−	0.0376810i
$346$	11.5615	+	6.67503i	0.621550	+	0.358852i
$347$	3.51596	−	0.677645i	0.188747	−	0.0363779i	−0.0940019	−	0.995572i	$-0.529966\pi$
$347$	3.51596	−	0.677645i	0.188747	−	0.0363779i	0.282748	+	0.959194i	$0.408754\pi$
$348$	6.35732	+	0.302836i	0.340788	+	0.0162337i
$349$	12.8860	+	1.85272i	0.689769	+	0.0991738i	0.478281	−	0.878207i	$-0.341260\pi$
$349$	12.8860	+	1.85272i	0.689769	+	0.0991738i	0.211488	+	0.977381i	$0.432169\pi$
$350$	−2.59769	−	1.10136i	−0.138852	−	0.0588700i
$351$	0.288068	+	2.00355i	0.0153759	+	0.106942i
$352$	2.45494	−	0.595561i	0.130848	−	0.0317435i
$353$	1.80095	−	0.0857898i	0.0958549	−	0.00456613i	0.000400348	−	1.00000i	$-0.499873\pi$
$353$	1.80095	−	0.0857898i	0.0958549	−	0.00456613i	0.0954546	+	0.995434i	$0.469570\pi$
$354$	−8.35483	−	0.797790i	−0.444054	−	0.0424020i
$355$	12.5337	+	11.9509i	0.665222	+	0.634288i
$356$	−11.4636	+	13.2297i	−0.607572	+	0.701175i
$357$	9.92503	+	1.63230i	0.525288	+	0.0863904i
$358$	6.58148	−	1.93250i	0.347842	−	0.102136i
$359$	7.38593	+	5.25950i	0.389815	+	0.277586i	0.758115	−	0.652121i	$-0.226121\pi$
$359$	7.38593	+	5.25950i	0.389815	+	0.277586i	−0.368300	+	0.929707i	$0.620060\pi$
$360$	0.0943703	+	1.98108i	0.00497375	+	0.104412i
$361$	6.60858	−	6.30127i	0.347820	−	0.331646i
$362$	−19.4476	+	15.2938i	−1.02214	+	0.803823i
$363$	4.20123	+	1.91864i	0.220507	+	0.100702i
$364$	4.29874	+	3.19394i	0.225315	+	0.167408i
$365$	−5.21561	+	8.11565i	−0.272998	+	0.424793i
$366$	−7.92943	−	2.74440i	−0.414478	−	0.143452i
$367$	4.15452	−	7.19584i	0.216864	−	0.375620i	−0.736984	−	0.675911i	$-0.763750\pi$
$367$	4.15452	−	7.19584i	0.216864	−	0.375620i	0.953848	+	0.300291i	$0.0970838\pi$
$368$	4.63520	+	1.23083i	0.241626	+	0.0641614i
$369$	−9.55082	+	5.51417i	−0.497196	+	0.287056i
$370$	1.70182	−	1.47464i	0.0884736	−	0.0766628i
$371$	−20.2288	+	11.1404i	−1.05023	+	0.578380i
$372$	−0.106188	+	0.738557i	−0.00550562	+	0.0382924i
$373$	−1.10286	−	11.5496i	−0.0571037	−	0.598017i	−0.978056	−	0.208342i	$-0.933193\pi$
$373$	−1.10286	−	11.5496i	−0.0571037	−	0.598017i	0.920952	−	0.389675i	$-0.127413\pi$
$374$	3.56931	−	8.91572i	0.184565	−	0.461021i
$375$	−8.30282	−	8.70774i	−0.428756	−	0.449666i
$376$	1.03532	−	2.00823i	0.0533923	−	0.103567i
$377$	11.7186	−	5.35171i	0.603539	−	0.275627i
$378$	1.96411	+	1.77264i	0.101023	+	0.0911748i
$379$	−16.6065	−	14.3896i	−0.853017	−	0.739144i	0.114101	−	0.993469i	$-0.463601\pi$
$379$	−16.6065	−	14.3896i	−0.853017	−	0.739144i	−0.967119	+	0.254325i	$0.918147\pi$
$380$	10.3292	+	1.99079i	0.529878	+	0.102126i
$381$	−7.10347	−	1.72328i	−0.363922	−	0.0882865i
$382$	−1.74437	+	18.2678i	−0.0892495	+	0.934663i
$383$	−25.1151	−	12.9477i	−1.28332	−	0.661598i	−0.324574	−	0.945860i	$-0.605221\pi$
$383$	−25.1151	−	12.9477i	−1.28332	−	0.661598i	−0.958747	+	0.284262i	$0.908251\pi$
$384$	−0.281733	+	0.959493i	−0.0143771	+	0.0489639i
$385$	−2.24517	−	13.0641i	−0.114425	−	0.665808i
$386$	−5.59996	+	12.2622i	−0.285030	+	0.624130i
$387$	−1.38241	−	3.45309i	−0.0702718	−	0.175531i
$388$	1.23797	−	0.638218i	0.0628484	−	0.0324006i
$389$	−5.75094	−	29.8387i	−0.291584	−	1.51288i	−0.771875	−	0.635774i	$-0.780681\pi$
$389$	−5.75094	−	29.8387i	−0.291584	−	1.51288i	0.480291	−	0.877109i	$-0.340531\pi$
$390$	2.00728	+	3.47671i	0.101642	+	0.176050i
$391$	14.0332	−	11.6399i	0.709687	−	0.588657i
$392$	6.98950	−	0.383351i	0.353023	−	0.0193621i
$393$	−7.72688	−	8.91729i	−0.389769	−	0.449818i
$394$	0.0340501	−	0.714800i	0.00171542	−	0.0360111i
$395$	−11.0991	+	14.1136i	−0.558456	+	0.710134i
$396$	2.05774	−	1.46531i	0.103405	−	0.0736344i
$397$	12.1731	+	15.4794i	0.610952	+	0.776888i	0.988843	−	0.148962i	$-0.0475932\pi$
$397$	12.1731	+	15.4794i	0.610952	+	0.776888i	−0.377891	+	0.925850i	$0.623351\pi$
$398$	11.7474	+	3.44934i	0.588843	+	0.172900i
$399$	11.5929	−	7.90721i	0.580369	−	0.395856i
$400$	−0.443012	−	0.970062i	−0.0221506	−	0.0485031i
$401$	15.5479	−	16.3062i	0.776426	−	0.814293i	−0.210137	−	0.977672i	$-0.567391\pi$
$401$	15.5479	−	16.3062i	0.776426	−	0.814293i	0.986563	+	0.163379i	$0.0522394\pi$
$402$	−2.86168	−	8.26828i	−0.142728	−	0.412384i
$403$	0.493980	+	1.42726i	0.0246069	+	0.0710970i
$404$	2.50240	−	2.62444i	0.124499	−	0.130571i
$405$	0.823902	+	1.80409i	0.0409400	+	0.0896461i
$406$	7.30318	−	15.1728i	0.362451	−	0.753014i
$407$	−2.75197	−	0.808050i	−0.136410	−	0.0400535i
$408$	2.35006	+	2.98834i	0.116345	+	0.147945i
$409$	4.14931	−	2.95471i	0.205170	−	0.146101i	−0.472854	−	0.881141i	$-0.656776\pi$
$409$	4.14931	−	2.95471i	0.205170	−	0.146101i	0.678024	+	0.735040i	$0.262837\pi$
$410$	−13.5208	+	17.1931i	−0.667747	+	0.849109i
$411$	0.135675	−	2.84816i	0.00669234	−	0.140489i
$412$	−1.93001	−	2.22735i	−0.0950846	−	0.109734i
$413$	−10.5717	+	19.5273i	−0.520201	+	0.960876i
$414$	4.76062	−	0.580066i	0.233972	−	0.0285087i
$415$	−18.0493	−	31.2623i	−0.886004	−	1.53460i
$416$	0.383074	+	1.98758i	0.0187818	+	0.0974490i
$417$	17.3519	−	8.94553i	0.849727	−	0.438064i
$418$	−4.97968	−	12.4386i	−0.243564	−	0.608393i
$419$	3.56906	−	7.81515i	0.174360	−	0.381795i	−0.802195	−	0.597062i	$-0.796335\pi$
$419$	3.56906	−	7.81515i	0.174360	−	0.381795i	0.976555	+	0.215266i	$0.0690620\pi$
$420$	4.92309	+	1.81608i	0.240222	+	0.0886156i
$421$	−0.644649	+	2.19547i	−0.0314183	+	0.107001i	−0.973709	−	0.227794i	$-0.926849\pi$
$421$	−0.644649	+	2.19547i	−0.0314183	+	0.107001i	0.942291	+	0.334795i	$0.108667\pi$
$422$	7.57822	+	3.90684i	0.368902	+	0.190182i
$423$	0.214769	−	2.24917i	0.0104424	−	0.109358i
$424$	−8.48251	−	2.05783i	−0.411947	−	0.0999372i
$425$	−3.98100	−	0.767274i	−0.193107	−	0.0372183i
$426$	6.59913	+	5.71818i	0.319729	+	0.277047i
$427$	−14.8741	+	16.4807i	−0.719808	+	0.797559i
$428$	−4.30209	+	1.96470i	−0.207950	+	0.0949674i
$429$	2.34305	−	4.54489i	0.113124	−	0.219429i
$430$	−5.09073	−	5.33900i	−0.245497	−	0.257470i
$431$	8.36601	−	20.8973i	0.402976	−	1.00659i	−0.578616	−	0.815600i	$-0.696407\pi$
$431$	8.36601	−	20.8973i	0.402976	−	1.00659i	0.981593	−	0.190987i	$-0.0611687\pi$
$432$	0.0950560	+	0.995472i	0.00457339	+	0.0478947i
$433$	1.95946	−	13.6283i	0.0941656	−	0.654936i	−0.887000	−	0.461769i	$-0.847215\pi$
$433$	1.95946	−	13.6283i	0.0941656	−	0.654936i	0.981166	−	0.193167i	$-0.0618760\pi$
$434$	1.68936	+	1.02140i	0.0810918	+	0.0490290i
$435$	9.53976	−	8.26625i	0.457396	−	0.396336i
$436$	10.8181	−	6.24586i	0.518095	−	0.299122i
$437$	2.96299	−	25.2634i	0.141739	−	1.20851i
$438$	−2.43205	+	4.21244i	−0.116208	+	0.201278i
$439$	0.790859	+	0.273719i	0.0377456	+	0.0130639i	0.345876	−	0.938280i	$-0.387582\pi$
$439$	0.790859	+	0.273719i	0.0377456	+	0.0130639i	−0.308130	+	0.951344i	$0.599703\pi$
$440$	2.70869	−	4.21481i	0.129132	−	0.200933i
$441$	6.34635	−	2.95362i	0.302207	−	0.140649i
$442$	6.99984	+	3.19672i	0.332948	+	0.152052i
$443$	−16.9212	+	13.3070i	−0.803949	+	0.632233i	−0.933191	−	0.359380i	$-0.882988\pi$
$443$	−16.9212	+	13.3070i	−0.803949	+	0.632233i	0.129242	+	0.991613i	$0.458746\pi$
$444$	0.821717	−	0.783505i	0.0389970	−	0.0371835i
$445$	1.65200	+	34.6796i	0.0783121	+	1.64397i
$446$	7.25301	+	5.16485i	0.343440	+	0.244563i
$447$	−16.4451	+	4.82870i	−0.777824	+	0.228390i
$448$	2.04624	+	1.67718i	0.0966755	+	0.0792391i
$449$	14.5224	−	16.7597i	0.685353	−	0.790939i	−0.301343	−	0.953516i	$-0.597435\pi$
$449$	14.5224	−	16.7597i	0.685353	−	0.790939i	0.986696	+	0.162576i	$0.0519804\pi$
$450$	−0.771814	−	0.735923i	−0.0363837	−	0.0346917i
$451$	27.7330	+	2.64818i	1.30590	+	0.124698i
$452$	−13.0994	+	0.624002i	−0.616145	+	0.0293506i
$453$	10.4223	−	2.52842i	0.489682	−	0.118796i
$454$	2.12859	+	14.8047i	0.0998997	+	0.694818i
$455$	10.5418	−	1.29889i	0.494207	−	0.0608930i
$456$	5.24990	+	0.754822i	0.245849	+	0.0353478i
$457$	18.0453	+	0.859604i	0.844124	+	0.0402106i	0.465187	−	0.885212i	$-0.345987\pi$
$457$	18.0453	+	0.859604i	0.844124	+	0.0402106i	0.378936	+	0.925423i	$0.376290\pi$
$458$	−28.9992	+	5.58914i	−1.35504	+	0.261163i
$459$	3.29237	+	1.90085i	0.153675	+	0.0887241i
$460$	8.33793	−	4.57723i	0.388758	−	0.213414i
$461$			7.22548i			0.336524i	0.985742	+	0.168262i	$0.0538155\pi$
$461$			7.22548i			0.336524i	−0.985742	+	0.168262i	$0.946185\pi$
$462$	−1.44417	−	6.52566i	−0.0671887	−	0.303601i
$463$	−13.9222	−	8.94727i	−0.647020	−	0.415815i	0.175556	−	0.984469i	$-0.443828\pi$
$463$	−13.9222	−	8.94727i	−0.647020	−	0.415815i	−0.822576	+	0.568655i	$0.807464\pi$
$464$	5.90862	−	2.36546i	0.274301	−	0.109814i
$465$	0.858403	+	1.20546i	0.0398075	+	0.0559018i
$466$	−14.1165	−	5.65139i	−0.653934	−	0.261796i
$467$	−0.137603	−	0.567207i	−0.00636751	−	0.0262472i	0.968539	−	0.248861i	$-0.0800563\pi$
$467$	−0.137603	−	0.567207i	−0.00636751	−	0.0262472i	−0.974907	+	0.222614i	$0.928541\pi$
$468$	1.09434	+	1.70283i	0.0505860	+	0.0787133i
$469$	−23.0958	−	1.56839i	−1.06646	−	0.0724214i
$470$	−1.26248	−	4.29960i	−0.0582337	−	0.198326i
$471$	−3.80028	+	19.7177i	−0.175108	+	0.908545i
$472$	−7.93124	+	2.74503i	−0.365065	+	0.126350i
$473$	−2.21521	+	9.13120i	−0.101855	+	0.419853i
$474$	−5.25127	+	7.37438i	−0.241199	+	0.338716i
$475$	−4.75833	+	3.05800i	−0.218327	+	0.140310i
$476$	9.70621	−	2.63822i	0.444883	−	0.120922i
$477$	−8.63971	+	1.24220i	−0.395585	+	0.0568765i
$478$	22.9692	−	2.19329i	1.05059	−	0.100319i
$479$	−0.457018	−	0.359403i	−0.0208817	−	0.0164216i	0.607664	−	0.794195i	$-0.292107\pi$
$479$	−0.457018	−	0.359403i	−0.0208817	−	0.0164216i	−0.628545	+	0.777773i	$0.716349\pi$
$480$	0.908811	+	1.76285i	0.0414813	+	0.0804626i
$481$	0.751667	−	2.17180i	0.0342730	−	0.0990255i
$482$	22.9862			1.04699
$483$	3.50356	−	12.1953i	0.159418	−	0.554905i
$484$	4.61860			0.209936
$485$	0.903483	−	2.61044i	0.0410250	−	0.118534i
$486$	0.458227	+	0.888835i	0.0207856	+	0.0403184i
$487$	23.8117	+	18.7258i	1.07901	+	0.848545i	0.989077	−	0.147402i	$-0.0470911\pi$
$487$	23.8117	+	18.7258i	1.07901	+	0.848545i	0.0899367	+	0.995947i	$0.471334\pi$
$488$	−8.35293	+	0.797608i	−0.378119	+	0.0361060i
$489$	−10.4497	+	1.50244i	−0.472553	+	0.0679428i
$490$	9.50803	−	10.1164i	0.429529	−	0.457014i
$491$	−16.4065	+	10.5438i	−0.740415	+	0.475836i	−0.855684	−	0.517499i	$-0.826863\pi$
$491$	−16.4065	+	10.5438i	−0.740415	+	0.475836i	0.115269	+	0.993334i	$0.463227\pi$
$492$	−6.39707	+	8.98342i	−0.288402	+	0.405004i
$493$	5.70443	−	23.5140i	0.256915	−	1.05902i
$494$	10.1454	−	3.51137i	0.456465	−	0.157984i
$495$	0.948178	−	4.91962i	0.0426174	−	0.221120i
$496$	0.210215	+	0.715928i	0.00943895	+	0.0321461i
$497$	20.7439	−	10.1691i	0.930493	−	0.456148i
$498$	−9.84023	−	15.3117i	−0.440951	−	0.686134i
$499$	−7.97048	−	32.8548i	−0.356808	−	1.47078i	−0.813713	−	0.581266i	$-0.802557\pi$
$499$	−7.97048	−	32.8548i	−0.356808	−	1.47078i	0.456906	−	0.889515i	$-0.348958\pi$
$500$	−11.1698	−	4.47173i	−0.499530	−	0.199982i
$501$	2.01869	+	2.83486i	0.0901886	+	0.126652i
$502$	−4.44525	+	1.77961i	−0.198401	+	0.0794278i
$503$	0.764626	+	0.491395i	0.0340930	+	0.0219102i	0.557576	−	0.830126i	$-0.311731\pi$
$503$	0.764626	+	0.491395i	0.0340930	+	0.0219102i	−0.523483	+	0.852036i	$0.675368\pi$
$504$	2.52300	+	0.796528i	0.112383	+	0.0354802i
$505$		−	7.19201i		−	0.320040i
$506$	−10.6461	−	5.78215i	−0.473276	−	0.257048i
$507$	−7.71004	−	4.45139i	−0.342415	−	0.197693i
$508$	−7.17742	+	1.38333i	−0.318447	+	0.0613756i
$509$	−20.1993	−	0.962212i	−0.895319	−	0.0426493i	−0.405124	−	0.914262i	$-0.632772\pi$
$509$	−20.1993	−	0.962212i	−0.895319	−	0.0426493i	−0.490195	+	0.871613i	$0.663075\pi$
$510$	7.46326	+	1.07305i	0.330478	+	0.0475156i
$511$	7.74923	+	10.2745i	0.342806	+	0.454519i
$512$	0.142315	+	0.989821i	0.00628949	+	0.0437443i
$513$	5.15438	−	1.25044i	0.227571	−	0.0552082i
$514$	14.7817	−	0.704138i	0.651992	−	0.0310582i
$515$	−5.81879	−	0.555627i	−0.256406	−	0.0244838i
$516$	−2.69195	−	2.56677i	−0.118506	−	0.112996i
$517$	−3.73766	+	4.31349i	−0.164382	+	0.189707i
$518$	−1.05989	−	2.81075i	−0.0465687	−	0.123497i
$519$	12.8093	−	3.76115i	0.562265	−	0.165096i
$520$	3.27016	+	2.32867i	0.143406	+	0.102119i
$521$	−1.32088	−	27.7286i	−0.0578687	−	1.21481i	−0.821899	−	0.569633i	$-0.807085\pi$
$521$	−1.32088	−	27.7286i	−0.0578687	−	1.21481i	0.764030	−	0.645180i	$-0.223218\pi$
$522$	4.60623	−	4.39203i	0.201609	−	0.192234i
$523$	33.9353	−	26.6870i	1.48389	−	1.16694i	0.537781	−	0.843084i	$-0.319263\pi$
$523$	33.9353	−	26.6870i	1.48389	−	1.16694i	0.946106	−	0.323857i	$-0.104980\pi$
$524$	−10.7330	−	4.90159i	−0.468873	−	0.214127i
$525$	−2.58970	+	1.12001i	−0.113024	+	0.0488813i
$526$	−4.07162	+	6.33556i	−0.177531	+	0.276243i
$527$	2.68063	+	0.927777i	0.116770	+	0.0404146i
$528$	1.26307	−	2.18770i	0.0549681	−	0.0952076i
$529$	−12.5217	−	19.2927i	−0.544420	−	0.838813i
$530$	−14.9922	+	8.65576i	−0.651220	+	0.375982i
$531$	−6.34288	+	5.49614i	−0.275258	+	0.238512i
$532$	7.26047	−	12.0085i	0.314781	−	0.520635i
$533$	−3.17691	+	22.0959i	−0.137607	+	0.957079i
$534$	1.66400	+	17.4262i	0.0720083	+	0.754105i
$535$	−3.48623	+	8.70818i	−0.150723	+	0.376487i
$536$	−6.03784	−	6.33231i	−0.260795	−	0.273514i
$537$	3.14313	−	6.09682i	0.135636	−	0.263097i
$538$	−12.4588	+	5.68974i	−0.537137	+	0.245302i
$539$	−17.3871	−	3.22157i	−0.748914	−	0.138763i
$540$	1.49889	+	1.29880i	0.0645022	+	0.0558914i
$541$	21.1281	+	4.07212i	0.908370	+	0.175074i	0.621974	−	0.783038i	$-0.286331\pi$
$541$	21.1281	+	4.07212i	0.908370	+	0.175074i	0.286395	+	0.958111i	$0.407543\pi$
$542$	0.950914	+	0.230689i	0.0408453	+	0.00990895i
$543$	−2.35177	+	24.6288i	−0.100924	+	1.05692i
$544$	3.37909	+	1.74204i	0.144877	+	0.0746894i
$545$	6.97996	−	23.7715i	0.298988	−	1.01826i
$546$	5.27804	−	0.907074i	0.225879	−	0.0388192i
$547$	−2.75772	+	6.03857i	−0.117912	+	0.258191i	−0.959381	−	0.282115i	$-0.908964\pi$
$547$	−2.75772	+	6.03857i	−0.117912	+	0.258191i	0.841469	+	0.540306i	$0.181691\pi$
$548$	−1.05975	−	2.64714i	−0.0452705	−	0.113080i
$549$	−7.45815	+	3.84495i	−0.318306	+	0.164098i
$550$	0.509836	+	2.64528i	0.0217395	+	0.112795i
$551$	−16.8784	−	29.2342i	−0.719043	−	1.24542i
$552$	4.08945	−	2.50528i	0.174058	−	0.106632i
$553$	12.5397	+	20.4073i	0.533244	+	0.867805i
$554$	10.1878	+	11.7573i	0.432838	+	0.499522i
$555$	0.107147	−	2.24928i	0.00454812	−	0.0954768i
$556$	12.0677	−	15.3454i	0.511786	−	0.650789i
$557$	22.7707	−	16.2150i	0.964826	−	0.687050i	0.0150195	−	0.999887i	$-0.495219\pi$
$557$	22.7707	−	16.2150i	0.964826	−	0.687050i	0.949807	+	0.312838i	$0.101280\pi$
$558$	0.461241	+	0.586515i	0.0195259	+	0.0248292i
$559$	−7.22394	−	2.12114i	−0.305540	−	0.0897146i
$560$	5.23263	−	0.393162i	0.221119	−	0.0166141i
$561$	−3.98950	−	8.73578i	−0.168437	−	0.368825i
$562$	−12.0040	+	12.5895i	−0.506360	+	0.531055i
$563$	4.59148	+	13.2662i	0.193508	+	0.559104i	0.999459	−	0.0328772i	$-0.0104670\pi$
$563$	4.59148	+	13.2662i	0.193508	+	0.559104i	−0.805951	+	0.591982i	$0.798346\pi$
$564$	−0.738977	−	2.13513i	−0.0311165	−	0.0899053i
$565$	−17.9488	+	18.8242i	−0.755113	+	0.791940i
$566$	−2.31269	−	5.06408i	−0.0972096	−	0.212859i
$567$	2.63831	−	0.198234i	0.110799	−	0.00832506i
$568$	8.37819	+	2.46006i	0.351541	+	0.103222i
$569$	1.85484	+	2.35862i	0.0777590	+	0.0988786i	0.823376	−	0.567496i	$-0.192088\pi$
$569$	1.85484	+	2.35862i	0.0777590	+	0.0988786i	−0.745617	+	0.666374i	$0.767845\pi$
$570$	8.56878	−	6.10180i	0.358907	−	0.255576i
$571$	−27.9365	+	35.5242i	−1.16911	+	1.48664i	−0.328911	+	0.944361i	$0.606682\pi$
$571$	−27.9365	+	35.5242i	−1.16911	+	1.48664i	−0.840197	+	0.542281i	$0.817561\pi$
$572$	0.243301	−	5.10752i	0.0101729	−	0.213556i
$573$	12.0173	+	13.8687i	0.502030	+	0.579373i
$574$	15.2758	+	24.8600i	0.637601	+	1.03764i
$575$	−1.54631	+	4.87507i	−0.0644858	+	0.203305i
$576$	0.500000	+	0.866025i	0.0208333	+	0.0360844i
$577$	2.36334	+	12.2622i	0.0983872	+	0.510481i	0.997369	+	0.0724949i	$0.0230961\pi$
$577$	2.36334	+	12.2622i	0.0983872	+	0.510481i	−0.898982	+	0.437987i	$0.855692\pi$
$578$	−2.26391	+	1.16713i	−0.0941664	+	0.0485461i
$579$	5.01016	+	12.5148i	0.208215	+	0.520096i
$580$	5.24375	−	11.4822i	0.217735	−	0.476772i
$581$	−47.4597	+	8.15633i	−1.96896	+	0.338382i
$582$	0.392397	−	1.33638i	0.0162654	−	0.0553948i
$583$	19.5984	+	10.1037i	0.811684	+	0.418452i
$584$	−0.462363	+	4.84208i	−0.0191327	+	0.200367i
$585$	3.90139	+	0.946467i	0.161303	+	0.0391316i
$586$	3.49864	+	0.674307i	0.144527	+	0.0278554i
$587$	−18.6047	−	16.1211i	−0.767899	−	0.665388i	0.180105	−	0.983647i	$-0.442356\pi$
$587$	−18.6047	−	16.1211i	−0.767899	−	0.665388i	−0.948004	+	0.318259i	$0.896902\pi$
$588$	4.54586	−	5.32308i	0.187468	−	0.219520i
$589$	3.59987	−	1.64401i	0.148330	−	0.0677402i
$590$	−7.62750	+	14.7953i	−0.314019	+	0.609112i
$591$	−0.493828	−	0.517912i	−0.0203134	−	0.0213041i
$592$	0.421980	−	1.05406i	0.0173433	−	0.0433214i
$593$	−2.99579	−	31.3733i	−0.123022	−	1.28835i	−0.820461	−	0.571703i	$-0.806283\pi$
$593$	−2.99579	−	31.3733i	−0.123022	−	1.28835i	0.697438	−	0.716645i	$-0.254323\pi$
$594$	0.359508	−	2.50043i	0.0147508	−	0.102594i
$595$	10.3215	−	17.0713i	0.423139	−	0.699854i
$596$	−12.9530	+	11.2239i	−0.530577	+	0.459747i
$597$	10.6030	−	6.12167i	0.433953	−	0.250543i
$598$	5.03379	−	8.30041i	0.205847	−	0.339429i
$599$	14.1603	−	24.5264i	0.578575	−	1.00212i	−0.417068	−	0.908875i	$-0.636942\pi$
$599$	14.1603	−	24.5264i	0.578575	−	1.00212i	0.995643	−	0.0932458i	$-0.0297242\pi$
$600$	−1.00778	−	0.348796i	−0.0411425	−	0.0142395i
$601$	−2.98092	+	4.63840i	−0.121594	+	0.189204i	−0.896715	−	0.442609i	$-0.854053\pi$
$601$	−2.98092	+	4.63840i	−0.121594	+	0.189204i	0.775120	+	0.631814i	$0.217689\pi$
$602$	−9.03241	+	3.90640i	−0.368133	+	0.159213i
$603$	−7.95882	−	3.63467i	−0.324108	−	0.148015i
$604$	8.43011	−	6.62951i	0.343016	−	0.269751i
$605$	6.62953	−	6.32124i	0.269529	−	0.256995i
$606$	−0.172544	−	3.62214i	−0.00700911	−	0.147139i
$607$	11.1337	+	7.92825i	0.451902	+	0.321798i	0.783246	−	0.621712i	$-0.213563\pi$
$607$	11.1337	+	7.92825i	0.451902	+	0.321798i	−0.331344	+	0.943510i	$0.607502\pi$
$608$	5.08904	−	1.49428i	0.206388	−	0.0606010i
$609$	−5.94131	−	15.7560i	−0.240754	−	0.638465i
$610$	−10.8981	+	12.5771i	−0.441253	+	0.509233i
$611$	−3.30991	−	3.15599i	−0.133905	−	0.127678i
$612$	3.78449	+	0.361375i	0.152979	+	0.0146077i
$613$	41.2689	−	1.96588i	1.66683	−	0.0794011i	0.807190	−	0.590292i	$-0.200988\pi$
$613$	41.2689	−	1.96588i	1.66683	−	0.0794011i	0.859645	+	0.510891i	$0.170685\pi$
$614$	25.3727	−	6.15534i	1.02396	−	0.248409i
$615$	3.11282	+	21.6501i	0.125521	+	0.873017i
$616$	−4.02451	−	5.33602i	−0.162152	−	0.214994i
$617$	9.12934	+	1.31260i	0.367534	+	0.0528433i	0.323607	−	0.946191i	$-0.395104\pi$
$617$	9.12934	+	1.31260i	0.367534	+	0.0528433i	0.0439261	+	0.999035i	$0.486013\pi$
$618$	−2.94386	−	0.140234i	−0.118420	−	0.00564102i
$619$	−10.2541	+	1.97631i	−0.412146	+	0.0794347i	−0.391110	−	0.920344i	$-0.627909\pi$
$619$	−10.2541	+	1.97631i	−0.412146	+	0.0794347i	−0.0210366	+	0.999779i	$0.506697\pi$
$620$	1.28160	+	0.739930i	0.0514701	+	0.0297163i
$621$	2.86539	−	3.84572i	0.114984	−	0.154323i
$622$			10.2275i			0.410084i
$623$	44.1663	+	13.9436i	1.76949	+	0.558638i
$624$	1.70283	+	1.09434i	0.0681677	+	0.0438087i
$625$	−17.2032	+	6.88711i	−0.688127	+	0.275484i
$626$	−2.51410	−	3.53056i	−0.100484	−	0.141110i
$627$	−12.4386	−	4.97968i	−0.496751	−	0.198869i
$628$	4.73418	+	19.5146i	0.188914	+	0.778716i
$629$	−2.33362	−	3.63118i	−0.0930475	−	0.144785i
$630$	4.71168	−	2.30977i	0.187718	−	0.0920235i
$631$	−3.55995	−	12.1241i	−0.141719	−	0.482652i	0.857789	−	0.514002i	$-0.171838\pi$
$631$	−3.55995	−	12.1241i	−0.141719	−	0.482652i	−0.999508	+	0.0313499i	$0.990019\pi$
$632$	−1.71330	+	8.88943i	−0.0681513	+	0.353602i
$633$	8.05708	−	2.78858i	0.320240	−	0.110836i
$634$	−1.05754	+	4.35925i	−0.0420004	+	0.173128i
$635$	−8.40916	+	11.8090i	−0.333707	+	0.468626i
$636$	−7.34292	+	4.71901i	−0.291166	+	0.187121i
$637$	3.24137	−	13.7934i	0.128428	−	0.546513i
$638$	−15.9141	+	2.28810i	−0.630044	+	0.0905866i
$639$	8.69236	−	0.830020i	0.343864	−	0.0328351i
$640$	1.55900	+	1.22601i	0.0616247	+	0.0484622i
$641$	−5.66956	−	10.9974i	−0.223934	−	0.434371i	0.749926	−	0.661522i	$-0.230089\pi$
$641$	−5.66956	−	10.9974i	−0.223934	−	0.434371i	−0.973860	+	0.227151i	$0.927059\pi$
$642$	−1.54686	+	4.46937i	−0.0610498	+	0.176392i
$643$	26.2761			1.03623			0.518114	−	0.855312i	$-0.326634\pi$
$643$	26.2761			1.03623			0.518114	+	0.855312i	$0.326634\pi$
$644$	−1.87916	−	12.5487i	−0.0740491	−	0.494486i
$645$	−7.37702			−0.290470
$646$	6.59494	−	19.0548i	0.259474	−	0.749702i
$647$	−14.1502	−	27.4476i	−0.556302	−	1.07908i	−0.984499	−	0.175390i	$-0.943881\pi$
$647$	−14.1502	−	27.4476i	−0.556302	−	1.07908i	0.428197	−	0.903685i	$-0.359149\pi$
$648$	0.786053	+	0.618159i	0.0308791	+	0.0242836i
$649$	21.1055	−	2.01533i	0.828463	−	0.0791087i
$650$	−2.13666	+	0.307205i	−0.0838065	+	0.0120496i
$651$	1.90502	−	0.517797i	0.0746635	−	0.0202941i
$652$	−8.88126	+	5.70764i	−0.347817	+	0.223528i
$653$	−14.9835	+	21.0414i	−0.586350	+	0.823413i	−0.996049	−	0.0888077i	$-0.971694\pi$
$653$	−14.9835	+	21.0414i	−0.586350	+	0.823413i	0.409699	+	0.912221i	$0.365634\pi$
$654$	2.94504	−	12.1396i	0.115160	−	0.474696i
$655$	−22.1147	+	7.65396i	−0.864092	+	0.299065i
$656$	−2.08713	+	10.8290i	−0.0814886	+	0.422803i
$657$	1.37038	+	4.66708i	0.0534635	+	0.182080i
$658$	−5.96407	−	0.405008i	−0.232504	−	0.0157888i
$659$	−7.78845	−	12.1191i	−0.303395	−	0.472092i	0.655761	−	0.754968i	$-0.272348\pi$
$659$	−7.78845	−	12.1191i	−0.303395	−	0.472092i	−0.959156	+	0.282876i	$0.908711\pi$
$660$	−1.18119	−	4.86893i	−0.0459777	−	0.189523i
$661$	9.96444	+	3.98916i	0.387572	+	0.155160i	0.557261	−	0.830337i	$-0.311852\pi$
$661$	9.96444	+	3.98916i	0.387572	+	0.155160i	−0.169689	+	0.985498i	$0.554276\pi$
$662$	10.7117	+	15.0424i	0.416321	+	0.584641i
$663$	7.14402	−	2.86003i	0.277451	−	0.111074i
$664$	−15.3117	−	9.84023i	−0.594209	−	0.381875i
$665$	−6.01377	−	27.1740i	−0.233204	−	1.05376i
$666$		−	1.13539i		−	0.0439953i
$667$	−28.6226	−	10.6024i	−1.10827	−	0.410527i
$668$	3.01391	+	1.74008i	0.116612	+	0.0673258i
$669$	8.74313	−	1.68510i	0.338029	−	0.0651497i
$670$	−17.3334	−	0.825692i	−0.669648	−	0.0318993i
$671$	20.9809	+	3.01660i	0.809960	+	0.116455i
$672$	2.62589	−	0.323546i	0.101296	−	0.0124811i
$673$	−3.81327	−	26.5219i	−0.146991	−	1.02234i	−0.921110	−	0.389303i	$-0.872716\pi$
$673$	−3.81327	−	26.5219i	−0.146991	−	1.02234i	0.774119	−	0.633040i	$-0.218193\pi$
$674$	−7.04840	+	1.70992i	−0.271494	+	0.0658638i
$675$	−1.06523	+	0.0507429i	−0.0410005	+	0.00195310i
$676$	−8.86248	−	0.846264i	−0.340865	−	0.0325486i
$677$	35.8541	+	34.1868i	1.37798	+	1.31390i	0.900233	+	0.435409i	$0.143396\pi$
$677$	35.8541	+	34.1868i	1.37798	+	1.31390i	0.477751	+	0.878495i	$0.341452\pi$
$678$	−8.58803	+	9.91111i	−0.329821	+	0.380634i
$679$	−2.85000	−	2.33597i	−0.109373	−	0.0896463i
$680$	7.23458	−	2.12426i	0.277433	−	0.0814618i
$681$	12.1835	+	8.67586i	0.466874	+	0.332460i
$682$	−0.0896865	−	1.88275i	−0.00343427	−	0.0720943i
$683$	−10.1636	+	9.69100i	−0.388900	+	0.370816i	−0.859155	−	0.511715i	$-0.829010\pi$
$683$	−10.1636	+	9.69100i	−0.388900	+	0.370816i	0.470255	+	0.882531i	$0.344162\pi$
$684$	4.16914	−	3.27865i	0.159411	−	0.125362i
$685$	−5.14418	−	2.34927i	−0.196549	−	0.0897608i
$686$	−8.27156	−	16.5705i	−0.315810	−	0.632664i
$687$	−15.9667	+	24.8447i	−0.609167	+	0.947883i
$688$	−3.51496	−	1.21654i	−0.134007	−	0.0463801i
$689$	−8.83398	+	15.3009i	−0.336548	+	0.582918i
$690$	2.44113	−	9.19309i	0.0929323	−	0.349975i
$691$	9.68510	−	5.59170i	0.368439	−	0.212718i	−0.304337	−	0.952564i	$-0.598435\pi$
$691$	9.68510	−	5.59170i	0.368439	−	0.212718i	0.672776	+	0.739846i	$0.265102\pi$
$692$	10.0893	−	8.74243i	0.383538	−	0.332337i
$693$	−5.71943	−	3.45803i	−0.217263	−	0.131360i
$694$	0.509582	−	3.54422i	0.0193435	−	0.134537i
$695$	−3.68043	−	38.5432i	−0.139607	−	1.46203i
$696$	2.36546	−	5.90862i	0.0896624	−	0.223966i
$697$	28.9326	+	30.3436i	1.09590	+	1.14935i
$698$	5.96540	−	11.5713i	0.225794	−	0.437979i
$699$	−13.8316	+	6.31668i	−0.523159	+	0.238919i
$700$	−1.89040	+	2.09460i	−0.0714505	+	0.0791683i
$701$	−30.2720	−	26.2308i	−1.14336	−	0.990725i	−0.999999	−	0.00105463i	$-0.999664\pi$
$701$	−30.2720	−	26.2308i	−1.14336	−	0.990725i	−0.143359	−	0.989671i	$-0.545790\pi$
$702$	1.98758	+	0.383074i	0.0750163	+	0.0144582i
$703$	−5.85221	−	1.41973i	−0.220720	−	0.0535461i
$704$	0.240125	−	2.51470i	0.00905006	−	0.0947765i
$705$	−3.98297	−	2.05337i	−0.150007	−	0.0773342i
$706$	0.507962	−	1.72996i	0.0191174	−	0.0651079i
$707$	−9.00123	−	3.32046i	−0.338526	−	0.124879i
$708$	−3.48651	+	7.63439i	−0.131031	+	0.286918i
$709$	11.6638	+	29.1348i	0.438043	+	1.09418i	0.969062	+	0.246819i	$0.0793854\pi$
$709$	11.6638	+	29.1348i	0.438043	+	1.09418i	−0.531018	+	0.847360i	$0.678190\pi$
$710$	15.3930	−	7.93564i	0.577689	−	0.297819i
$711$	1.71330	+	8.88943i	0.0642536	+	0.333380i
$712$	8.75273	+	15.1602i	0.328022	+	0.568152i
$713$	1.55633	−	3.22226i	0.0582849	−	0.120674i
$714$	4.78868	−	8.84529i	0.179212	−	0.331027i
$715$	−6.64117	−	7.66431i	−0.248366	−	0.286629i
$716$	0.326380	−	6.85157i	0.0121974	−	0.256055i
$717$	14.2632	−	18.1371i	0.532668	−	0.677343i
$718$	7.38593	−	5.25950i	0.275641	−	0.196283i
$719$	−10.5653	−	13.4349i	−0.394019	−	0.501036i	0.548055	−	0.836443i	$-0.315369\pi$
$719$	−10.5653	−	13.4349i	−0.394019	−	0.501036i	−0.942073	+	0.335407i	$0.891126\pi$
$720$	1.90298	+	0.558766i	0.0709200	+	0.0208240i
$721$	−3.38186	+	7.02603i	−0.125947	+	0.261663i
$722$	−3.79325	−	8.30606i	−0.141170	−	0.309120i
$723$	15.8623	−	16.6359i	0.589926	−	0.618697i
$724$	8.09194	+	23.3801i	0.300735	+	0.868916i
$725$	2.21992	+	6.41405i	0.0824459	+	0.238212i
$726$	3.18720	−	3.34264i	0.118288	−	0.124057i
$727$	16.2466	+	35.5751i	0.602554	+	1.31941i	0.927552	+	0.373694i	$0.121909\pi$
$727$	16.2466	+	35.5751i	0.602554	+	1.31941i	−0.324998	+	0.945715i	$0.605364\pi$
$728$	4.42426	−	3.01768i	0.163974	−	0.111843i
$729$	0.959493	+	0.281733i	0.0355368	+	0.0104345i
$730$	5.96344	+	7.58313i	0.220717	+	0.280664i
$731$	−11.5185	+	8.20232i	−0.426029	+	0.303374i
$732$	−5.18693	+	6.59571i	−0.191714	+	0.243785i
$733$	0.222088	−	4.66220i	0.00820301	−	0.172202i	−0.991048	−	0.133506i	$-0.957376\pi$
$733$	0.222088	−	4.66220i	0.00820301	−	0.172202i	0.999251	−	0.0386963i	$-0.0123205\pi$
$734$	−5.44126	−	6.27955i	−0.200841	−	0.231782i
$735$	−0.760308	−	13.8624i	−0.0280444	−	0.511323i
$736$	2.67916	−	3.97770i	0.0987551	−	0.146620i
$737$	11.0512	+	19.1413i	0.407078	+	0.705079i
$738$	2.08713	+	10.8290i	0.0768282	+	0.398623i
$739$	43.2243	−	22.2837i	1.59003	−	0.819718i	0.590107	−	0.807325i	$-0.299085\pi$
$739$	43.2243	−	22.2837i	1.59003	−	0.819718i	0.999923	−	0.0123929i	$-0.00394488\pi$
$740$	−0.836922	−	2.09053i	−0.0307659	−	0.0768494i
$741$	4.45985	−	9.76572i	0.163837	−	0.358753i
$742$	3.91148	+	22.7599i	0.143595	+	0.835543i
$743$	−7.42173	+	25.2761i	−0.272277	+	0.927290i	0.703897	+	0.710302i	$0.251442\pi$
$743$	−7.42173	+	25.2761i	−0.272277	+	0.927290i	−0.976174	+	0.216989i	$0.930377\pi$
$744$	0.663206	+	0.341907i	0.0243143	+	0.0125349i
$745$	−3.23122	+	33.8389i	−0.118383	+	1.23976i
$746$	−11.2751	−	2.73531i	−0.412811	−	0.100147i
$747$	−17.8721	−	3.44457i	−0.653907	−	0.126030i
$748$	−7.25795	−	6.28905i	−0.265377	−	0.229950i
$749$	9.28925	+	8.38368i	0.339422	+	0.306333i
$750$	−10.9444	+	4.99815i	−0.399633	+	0.182506i
$751$	−1.27812	+	2.47920i	−0.0466392	+	0.0904674i	−0.911003	−	0.412399i	$-0.864691\pi$
$751$	−1.27812	+	2.47920i	−0.0466392	+	0.0904674i	0.864364	+	0.502866i	$0.167721\pi$
$752$	−1.55916	−	1.63520i	−0.0568568	−	0.0596297i
$753$	−1.77961	+	4.44525i	−0.0648525	+	0.161994i
$754$	−1.22459	−	12.8245i	−0.0445969	−	0.467040i
$755$	3.02708	−	21.0538i	0.110167	−	0.766228i
$756$	2.31755	−	1.27632i	0.0842883	−	0.0464192i
$757$	3.54655	−	3.07310i	0.128901	−	0.111694i	−0.588024	−	0.808843i	$-0.700094\pi$
$757$	3.54655	−	3.07310i	0.128901	−	0.111694i	0.716926	+	0.697149i	$0.245549\pi$
$758$	−19.0296	+	10.9868i	−0.691187	+	0.399057i
$759$	−11.5314	+	3.71479i	−0.418562	+	0.134838i
$760$	5.25966	−	9.11000i	0.190788	−	0.330454i
$761$	−13.7501	−	4.75894i	−0.498439	−	0.172512i	0.0662695	−	0.997802i	$-0.478890\pi$
$761$	−13.7501	−	4.75894i	−0.498439	−	0.172512i	−0.564709	+	0.825290i	$0.691012\pi$
$762$	−3.95182	+	6.14916i	−0.143159	+	0.222760i
$763$	−26.5289	−	19.7109i	−0.960412	−	0.713581i
$764$	16.6926	+	7.62325i	0.603917	+	0.275799i
$765$	5.92684	−	4.66092i	0.214285	−	0.168516i
$766$	−20.4499	+	19.4990i	−0.738887	+	0.704527i
$767$	0.808341	+	16.9692i	0.0291875	+	0.612721i
$768$	0.814576	+	0.580057i	0.0293935	+	0.0209310i
$769$	4.79620	−	1.40829i	0.172955	−	0.0507842i	−0.194108	−	0.980980i	$-0.562181\pi$
$769$	4.79620	−	1.40829i	0.172955	−	0.0507842i	0.367064	+	0.930196i	$0.380363\pi$
$770$	−13.0799	−	2.15116i	−0.471367	−	0.0775224i
$771$	9.69092	−	11.1839i	0.349010	−	0.402779i
$772$	9.75622	+	9.30254i	0.351134	+	0.334806i
$773$	−7.78351	−	0.743236i	−0.279954	−	0.0267323i	−0.0458652	−	0.998948i	$-0.514604\pi$
$773$	−7.78351	−	0.743236i	−0.279954	−	0.0267323i	−0.234088	+	0.972215i	$0.575211\pi$
$774$	−3.71532	+	0.176982i	−0.133544	+	0.00636150i
$775$	−0.773291	+	0.187598i	−0.0277774	+	0.00673873i
$776$	−0.198216	−	1.37862i	−0.00711554	−	0.0494897i
$777$	−2.76564	−	1.17257i	−0.0992169	−	0.0420656i
$778$	−30.0786	−	4.32465i	−1.07837	−	0.155046i
$779$	58.4268	+	2.78321i	2.09336	+	0.0997190i
$780$	3.94201	−	0.759759i	0.141146	−	0.0272038i
$781$	−19.1028	−	11.0290i	−0.683552	−	0.394649i
$782$	−6.40995	−	17.0684i	−0.229219	−	0.610365i
$783$		−	6.36453i		−	0.227450i
$784$	1.92377	−	6.73046i	0.0687062	−	0.240374i
$785$	33.5040	+	21.5317i	1.19581	+	0.768501i
$786$	−10.9541	+	4.38535i	−0.390718	+	0.156420i
$787$	7.53295	+	10.5785i	0.268521	+	0.377085i	0.926716	−	0.375763i	$-0.122619\pi$
$787$	7.53295	+	10.5785i	0.268521	+	0.377085i	−0.658195	+	0.752847i	$0.728680\pi$
$788$	−0.664350	−	0.265966i	−0.0236665	−	0.00947464i
$789$	1.77552	+	7.31880i	0.0632103	+	0.260556i
$790$	9.70724	+	15.1048i	0.345368	+	0.537403i
$791$	15.2728	+	31.1549i	0.543040	+	1.10774i
$792$	−0.711697	−	2.42382i	−0.0252890	−	0.0861266i
$793$	−3.21435	+	16.6776i	−0.114145	+	0.592240i
$794$	18.6095	−	6.44080i	0.660425	−	0.228575i
$795$	−4.08135	+	16.8235i	−0.144750	+	0.596670i
$796$	7.10183	−	9.97312i	0.251718	−	0.353488i
$797$	−39.0782	+	25.1140i	−1.38422	+	0.889585i	−0.999441	−	0.0334239i	$-0.989359\pi$
$797$	−39.0782	+	25.1140i	−1.38422	+	0.889585i	−0.384779	+	0.923009i	$0.625723\pi$
$798$	−3.68067	−	13.5415i	−0.130294	−	0.479363i
$799$	−8.50213	+	1.22242i	−0.300784	+	0.0432462i
$800$	−1.06160	+	0.101371i	−0.0375334	+	0.00358400i
$801$	13.7602	+	10.8212i	0.486194	+	0.382347i
$802$	−10.3241	−	20.0260i	−0.364558	−	0.707144i
$803$	4.01883	−	11.6116i	0.141821	−	0.409766i
$804$	−8.74949			−0.308571
$805$	−19.8720	−	15.4404i	−0.700397	−	0.544203i
$806$	1.51033			0.0531990
$807$	−4.47969	+	12.9432i	−0.157693	+	0.455623i
$808$	−1.66164	−	3.22314i	−0.0584563	−	0.113389i
$809$	38.8013	+	30.5137i	1.36418	+	1.07280i	0.989326	+	0.145722i	$0.0465506\pi$
$809$	38.8013	+	30.5137i	1.36418	+	1.07280i	0.374857	+	0.927083i	$0.377692\pi$
$810$	1.97434	−	0.188527i	0.0693713	−	0.00662416i
$811$	−0.0364092	+	0.00523485i	−0.00127850	+	0.000183820i	−0.142954	−	0.989729i	$-0.545660\pi$
$811$	−0.0364092	+	0.00523485i	−0.00127850	+	0.000183820i	0.141676	+	0.989913i	$0.454751\pi$
$812$	−11.9497	−	11.8640i	−0.419352	−	0.416346i
$813$	0.823164	−	0.529015i	0.0288696	−	0.0185534i
$814$	−1.66369	+	2.33632i	−0.0583122	+	0.0818880i
$815$	−4.93639	+	20.3481i	−0.172914	+	0.712761i
$816$	3.59261	−	1.24342i	0.125767	−	0.0435282i
$817$	−3.73354	+	19.3715i	−0.130620	+	0.677722i
$818$	−1.43510	−	4.88749i	−0.0501770	−	0.170887i
$819$	2.98578	−	4.44585i	0.104332	−	0.155351i
$820$	11.8253	+	18.4005i	0.412958	+	0.642574i
$821$	−12.1621	−	50.1329i	−0.424460	−	1.74965i	−0.635432	−	0.772157i	$-0.719178\pi$
$821$	−12.1621	−	50.1329i	−0.424460	−	1.74965i	0.210971	−	0.977492i	$-0.432337\pi$
$822$	−2.64714	−	1.05975i	−0.0923296	−	0.0369632i
$823$	−4.75939	−	6.68362i	−0.165902	−	0.232976i	0.723253	−	0.690583i	$-0.242646\pi$
$823$	−4.75939	−	6.68362i	−0.165902	−	0.232976i	−0.889155	+	0.457607i	$0.848707\pi$
$824$	−2.73609	+	1.09536i	−0.0953162	+	0.0381588i
$825$	2.26631	+	1.45647i	0.0789026	+	0.0507076i
$826$	14.9957	+	16.3771i	0.521765	+	0.569831i
$827$			25.8430i			0.898651i	0.893368	+	0.449325i	$0.148336\pi$
$827$			25.8430i			0.898651i	−0.893368	+	0.449325i	$0.851664\pi$
$828$	1.00888	−	4.68851i	0.0350611	−	0.162937i
$829$	33.9632	+	19.6087i	1.17959	+	0.681038i	0.955920	−	0.293627i	$-0.0948624\pi$
$829$	33.9632	+	19.6087i	1.17959	+	0.681038i	0.223672	+	0.974665i	$0.428196\pi$
$830$	−35.4462	+	6.83169i	−1.23036	+	0.237132i
$831$	15.5396	+	0.740241i	0.539062	+	0.0256787i
$832$	2.00355	+	0.288068i	0.0694607	+	0.00998694i
$833$	−16.6004	−	20.7995i	−0.575170	−	0.720661i
$834$	−2.77828	−	19.3234i	−0.0962040	−	0.669113i
$835$	6.70772	−	1.62728i	0.232130	−	0.0563142i
$836$	−13.3832	+	0.637521i	−0.462868	+	0.0220491i
$837$	0.742773	+	0.0709263i	0.0256740	+	0.00245157i
$838$	−6.21800	−	5.92885i	−0.214797	−	0.204809i
$839$	2.68272	−	3.09603i	0.0926179	−	0.106887i	−0.707549	−	0.706665i	$-0.750199\pi$
$839$	2.68272	−	3.09603i	0.0926179	−	0.106887i	0.800166	+	0.599778i	$0.204744\pi$
$840$	3.32638	−	4.05834i	0.114771	−	0.140026i
$841$	−11.0411	+	3.24196i	−0.380727	+	0.111792i
$842$	1.86388	+	1.32726i	0.0642336	+	0.0457405i
$843$	0.827696	+	17.3755i	0.0285073	+	0.598443i
$844$	6.17056	−	5.88362i	0.212399	−	0.202522i
$845$	−13.8794	+	10.9149i	−0.477467	+	0.375484i
$846$	−2.05522	−	0.938588i	−0.0706599	−	0.0322693i
$847$	−4.85064	−	11.2157i	−0.166670	−	0.385376i
$848$	−4.71901	+	7.34292i	−0.162051	+	0.252157i
$849$	−5.26099	−	1.82085i	−0.180557	−	0.0624913i
$850$	−2.02713	+	3.51109i	−0.0695300	+	0.120430i
$851$	−4.89245	+	2.39022i	−0.167711	+	0.0819358i
$852$	7.56204	−	4.36595i	0.259071	−	0.149575i
$853$	−12.1116	+	10.4947i	−0.414693	+	0.359333i	−0.837078	−	0.547083i	$-0.815738\pi$
$853$	−12.1116	+	10.4947i	−0.414693	+	0.359333i	0.422386	+	0.906416i	$0.361193\pi$
$854$	10.7095	+	19.4464i	0.366471	+	0.665441i
$855$	1.49706	−	10.4122i	0.0511982	−	0.356091i
$856$	0.449566	+	4.70807i	0.0153659	+	0.160919i
$857$	−17.1019	+	42.7185i	−0.584190	+	1.45924i	0.281948	+	0.959430i	$0.409020\pi$
$857$	−17.1019	+	42.7185i	−0.584190	+	1.45924i	−0.866138	+	0.499806i	$0.833405\pi$
$858$	−3.52859	−	3.70068i	−0.120464	−	0.126339i
$859$	−24.7313	+	47.9721i	−0.843822	+	1.63679i	−0.0751250	+	0.997174i	$0.523936\pi$
$859$	−24.7313	+	47.9721i	−0.843822	+	1.63679i	−0.768697	+	0.639613i	$0.779095\pi$
$860$	−6.71038	+	3.06453i	−0.228822	+	0.104499i
$861$	28.5336	+	6.09972i	0.972421	+	0.207878i
$862$	−17.0117	−	14.7407i	−0.579421	−	0.502071i
$863$	−43.3081	−	8.34696i	−1.47423	−	0.284134i	−0.612081	−	0.790795i	$-0.709667\pi$
$863$	−43.3081	−	8.34696i	−1.47423	−	0.284134i	−0.862145	+	0.506661i	$0.830879\pi$
$864$	0.971812	+	0.235759i	0.0330617	+	0.00802068i
$865$	2.51684	−	26.3576i	0.0855752	−	0.896184i
$866$	−12.2379	−	6.30908i	−0.415861	−	0.214391i
$867$	−0.717589	+	2.44388i	−0.0243706	+	0.0829986i
$868$	1.51776	−	1.26238i	0.0515162	−	0.0428479i
$869$	9.50023	−	20.8026i	0.322273	−	0.705680i
$870$	−4.69146	−	11.7187i	−0.159055	−	0.397301i
$871$	−15.7416	+	8.11535i	−0.533383	+	0.274978i
$872$	−2.36407	−	12.2660i	−0.0800576	−	0.415379i
$873$	−0.696400	−	1.20620i	−0.0235696	−	0.0408237i
$874$	−22.9048	−	11.0629i	−0.774767	−	0.374207i
$875$	0.871981	+	31.8209i	0.0294783	+	1.07574i
$876$	3.18531	+	3.67605i	0.107622	+	0.124202i
$877$	−0.817791	+	17.1675i	−0.0276148	+	0.579707i	0.942080	+	0.335388i	$0.108867\pi$
$877$	−0.817791	+	17.1675i	−0.0276148	+	0.579707i	−0.969695	+	0.244319i	$0.921436\pi$
$878$	0.517329	−	0.657837i	0.0174590	−	0.0222009i
$879$	2.90236	−	2.06676i	0.0978941	−	0.0697100i
$880$	−3.09707	−	3.93825i	−0.104402	−	0.132758i
$881$	−18.8169	−	5.52513i	−0.633956	−	0.186146i	−0.0510635	−	0.998695i	$-0.516261\pi$
$881$	−18.8169	−	5.52513i	−0.633956	−	0.186146i	−0.582893	+	0.812549i	$0.698079\pi$
$882$	−0.715490	−	6.96334i	−0.0240918	−	0.234468i
$883$	13.3911	+	29.3225i	0.450647	+	0.986779i	0.989521	+	0.144392i	$0.0461228\pi$
$883$	13.3911	+	29.3225i	0.450647	+	0.986779i	−0.538874	+	0.842387i	$0.681150\pi$
$884$	5.31032	−	5.56931i	0.178606	−	0.187316i
$885$	5.44427	+	15.7302i	0.183007	+	0.528765i
$886$	7.04071	+	20.3428i	0.236537	+	0.683430i
$887$	14.5730	−	15.2837i	0.489313	−	0.513176i	−0.432066	−	0.901842i	$-0.642215\pi$
$887$	14.5730	−	15.2837i	0.489313	−	0.513176i	0.921379	+	0.388666i	$0.127064\pi$
$888$	−0.471656	−	1.03278i	−0.0158277	−	0.0346579i
$889$	10.8973	+	15.9766i	0.365483	+	0.535839i
$890$	33.3126	+	9.78146i	1.11664	+	0.327875i
$891$	−1.56156	−	1.98568i	−0.0523142	−	0.0665229i
$892$	7.25301	−	5.16485i	0.242849	−	0.172932i
$893$	−7.40777	+	9.41974i	−0.247891	+	0.315220i
$894$	−0.815522	+	17.1199i	−0.0272751	+	0.572575i
$895$	−8.90890	−	10.2814i	−0.297792	−	0.343670i
$896$	2.25419	−	1.38514i	0.0753072	−	0.0462744i
$897$	−2.53357	−	9.37106i	−0.0845936	−	0.312891i
$898$	−11.0881	−	19.2052i	−0.370016	−	0.640886i
$899$	−0.898736	−	4.66309i	−0.0299745	−	0.155523i
$900$	−0.947884	+	0.488668i	−0.0315961	+	0.0162889i
$901$	12.3330	+	30.8064i	0.410872	+	1.02631i
$902$	11.5731	−	25.3416i	0.385343	−	0.843783i
$903$	−3.40588	+	9.23278i	−0.113341	+	0.307248i
$904$	−3.69472	+	12.5831i	−0.122885	+	0.418506i
$905$	43.6143	+	22.4848i	1.44979	+	0.747419i
$906$	1.01944	−	10.6760i	0.0338686	−	0.354688i
$907$	21.0048	+	5.09572i	0.697454	+	0.169201i	0.568784	−	0.822487i	$-0.307414\pi$
$907$	21.0048	+	5.09572i	0.697454	+	0.169201i	0.128670	+	0.991687i	$0.458929\pi$
$908$	14.6866	+	2.83061i	0.487393	+	0.0939372i
$909$	−2.74053	−	2.37469i	−0.0908977	−	0.0787633i
$910$	2.22043	−	10.3868i	0.0736065	−	0.344320i
$911$	−2.85319	+	1.30301i	−0.0945303	+	0.0431705i	−0.462119	−	0.886818i	$-0.652911\pi$
$911$	−2.85319	+	1.30301i	−0.0945303	+	0.0431705i	0.367589	+	0.929988i	$0.380183\pi$
$912$	2.43038	−	4.71428i	0.0804780	−	0.156106i
$913$	31.7288	+	33.2762i	1.05007	+	1.10128i
$914$	6.71437	−	16.7717i	0.222091	−	0.554758i
$915$	1.58191	+	16.5666i	0.0522965	+	0.547673i
$916$	−4.20297	+	29.2323i	−0.138870	+	0.965862i
$917$	−0.630683	+	31.2116i	−0.0208270	+	1.03070i
$918$	2.87314	−	2.48959i	0.0948276	−	0.0821686i
$919$	−8.25294	+	4.76484i	−0.272239	+	0.157177i	−0.629905	−	0.776672i	$-0.716906\pi$
$919$	−8.25294	+	4.76484i	−0.272239	+	0.157177i	0.357665	+	0.933850i	$0.383573\pi$
$920$	−1.59842	−	9.37641i	−0.0526982	−	0.309131i
$921$	13.0543	−	22.6107i	0.430154	−	0.745049i
$922$	6.82808	+	2.36322i	0.224871	+	0.0778286i
$923$	9.55568	−	14.8689i	0.314529	−	0.489417i
$924$	−6.63909	−	0.769595i	−0.218410	−	0.0253178i
$925$	1.10139	+	0.502990i	0.0362136	+	0.0165382i
$926$	−13.0087	+	10.2301i	−0.427492	+	0.336183i
$927$	−2.13299	+	2.03380i	−0.0700566	+	0.0667989i
$928$	−0.302836	−	6.35732i	−0.00994109	−	0.208689i
$929$	−37.0059	−	26.3518i	−1.21413	−	0.864575i	−0.220289	−	0.975435i	$-0.570700\pi$
$929$	−37.0059	−	26.3518i	−1.21413	−	0.864575i	−0.993836	+	0.110860i	$0.964640\pi$
$930$	1.41991	−	0.416925i	0.0465608	−	0.0136715i
$931$	−36.7864	−	5.01932i	−1.20562	−	0.164502i
$932$	−9.95763	+	11.4917i	−0.326173	+	0.376424i
$933$	7.40197	+	7.05776i	0.242330	+	0.231061i
$934$	−0.581017	−	0.0554804i	−0.0190115	−	0.00181537i
$935$	−19.0255	+	0.906299i	−0.622202	+	0.0296391i
$936$	1.96710	−	0.477213i	0.0642966	−	0.0155982i
$937$	−6.54225	−	45.5023i	−0.213726	−	1.48650i	−0.760566	−	0.649260i	$-0.775079\pi$
$937$	−6.54225	−	45.5023i	−0.213726	−	1.48650i	0.546840	−	0.837237i	$-0.315830\pi$
$938$	−9.03602	+	21.3126i	−0.295037	+	0.695880i
$939$	−4.29012	−	0.616826i	−0.140003	−	0.0201294i
$940$	−4.47604	−	0.213220i	−0.145992	−	0.00695447i
$941$	−26.0367	+	5.01816i	−0.848772	+	0.163587i	−0.595049	−	0.803689i	$-0.702867\pi$
$941$	−26.0367	+	5.01816i	−0.848772	+	0.163587i	−0.253723	+	0.967277i	$0.581655\pi$
$942$	17.3903	+	10.0403i	0.566607	+	0.327131i
$943$	42.2693	−	31.7910i	1.37648	−	1.03526i
$944$			8.39284i			0.273164i
$945$	1.57977	−	5.00393i	0.0513900	−	0.162778i
$946$	7.90447	+	5.07990i	0.256997	+	0.165162i
$947$	−30.1101	+	12.0543i	−0.978446	+	0.391711i	−0.805093	−	0.593149i	$-0.797884\pi$
$947$	−30.1101	+	12.0543i	−0.978446	+	0.391711i	−0.173353	+	0.984860i	$0.555460\pi$
$948$	5.25127	+	7.37438i	0.170553	+	0.239509i
$949$	9.14045	+	3.65928i	0.296711	+	0.118785i
$950$	1.33351	+	5.49680i	0.0432648	+	0.178340i
$951$	2.42515	+	3.77361i	0.0786409	+	0.122368i
$952$	0.681473	−	10.0352i	0.0220867	−	0.325244i
$953$	16.0264	+	54.5809i	0.519146	+	1.76805i	0.632570	+	0.774503i	$0.282000\pi$
$953$	16.0264	+	54.5809i	0.519146	+	1.76805i	−0.113424	+	0.993547i	$0.536182\pi$
$954$	−1.65189	+	8.57081i	−0.0534819	+	0.277490i
$955$	34.3941	−	11.9039i	1.11297	−	0.385201i
$956$	5.43982	−	22.4232i	0.175936	−	0.725219i
$957$	−9.32599	+	13.0965i	−0.301466	+	0.423350i
$958$	−0.489112	+	0.314334i	−0.0158025	+	0.0101557i
$959$	−5.31525	+	5.35361i	−0.171638	+	0.172877i
$960$	1.96313	−	0.282256i	0.0633599	−	0.00910978i
$961$	−30.3054	+	2.89382i	−0.977594	+	0.0933489i
$962$	−1.80650	−	1.42065i	−0.0582441	−	0.0458036i
$963$	2.16718	+	4.20374i	0.0698363	+	0.135463i
$964$	7.51806	−	21.7220i	0.242140	−	0.699619i
$965$	26.7360			0.860662
$966$	−10.3787	−	7.29956i	−0.333928	−	0.234859i
$967$	−31.5227			−1.01370			−0.506852	−	0.862033i	$-0.669191\pi$
$967$	−31.5227			−1.01370			−0.506852	+	0.862033i	$0.669191\pi$
$968$	1.51060	−	4.36458i	0.0485524	−	0.140283i
$969$	−9.23959	−	17.9223i	−0.296818	−	0.575747i
$970$	−2.17137	−	1.70758i	−0.0697185	−	0.0548272i
$971$	−20.2963	+	1.93806i	−0.651340	+	0.0621954i	−0.415495	−	0.909595i	$-0.636392\pi$
$971$	−20.2963	+	1.93806i	−0.651340	+	0.0621954i	−0.235845	+	0.971791i	$0.575786\pi$
$972$	0.989821	−	0.142315i	0.0317485	−	0.00456475i
$973$	−49.9383	−	13.1887i	−1.60095	−	0.422809i
$974$	25.4839	−	16.3775i	0.816558	−	0.524770i
$975$	−1.25213	+	1.75837i	−0.0401002	+	0.0563128i
$976$	−1.97824	+	8.15440i	−0.0633218	+	0.261016i
$977$	−39.7944	+	13.7730i	−1.27313	+	0.440636i	−0.878297	−	0.478115i	$-0.841320\pi$
$977$	−39.7944	+	13.7730i	−1.27313	+	0.440636i	−0.394837	+	0.918751i	$0.629199\pi$
$978$	−1.99796	+	10.3664i	−0.0638877	+	0.331481i
$979$	−12.4586	−	42.4300i	−0.398178	−	1.35607i
$980$	−6.45026	−	12.2939i	−0.206046	−	0.392713i
$981$	−6.75353	−	10.5087i	−0.215624	−	0.335517i
$982$	4.59787	+	18.9527i	0.146724	+	0.604805i
$983$	21.0821	+	8.44000i	0.672415	+	0.269194i	0.682642	−	0.730753i	$-0.260831\pi$
$983$	21.0821	+	8.44000i	0.672415	+	0.269194i	−0.0102266	+	0.999948i	$0.503255\pi$
$984$	6.39707	+	8.98342i	0.203931	+	0.286381i
$985$	−1.31762	+	0.527496i	−0.0419829	+	0.0168074i
$986$	−20.3550	−	13.0814i	−0.648235	−	0.416596i
$987$	−4.40880	+	4.03691i	−0.140334	+	0.128496i
$988$		−	10.7359i		−	0.341555i
$989$	8.58415	+	15.6370i	0.272960	+	0.497227i
$990$	−4.33892	−	2.50508i	−0.137900	−	0.0796166i
$991$	47.3057	−	9.11742i	1.50271	−	0.289625i	0.629515	−	0.776988i	$-0.283253\pi$
$991$	47.3057	−	9.11742i	1.50271	−	0.289625i	0.873199	+	0.487363i	$0.162041\pi$
$992$	0.745307	+	0.0355033i	0.0236635	+	0.00112723i
$993$	18.2786	+	2.62807i	0.580055	+	0.0833993i
$994$	−2.82517	−	22.9290i	−0.0896089	−	0.727265i
$995$	−3.45576	−	24.0353i	−0.109555	−	0.761970i
$996$	−17.6880	+	4.29106i	−0.560465	+	0.135967i
$997$	−50.6356	+	2.41207i	−1.60365	+	0.0763911i	−0.830198	−	0.557468i	$-0.811773\pi$
$997$	−50.6356	+	2.41207i	−1.60365	+	0.0763911i	−0.773448	+	0.633859i	$0.781470\pi$
$998$	−33.6547	−	3.21363i	−1.06532	−	0.101726i
$999$	−0.821717	−	0.783505i	−0.0259980	−	0.0247890i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.a.493.2	yes	320
7.5	odd	6	inner	966.2.be.a.355.2	yes	320
23.7	odd	22	inner	966.2.be.a.283.2	yes	320
161.145	even	66	inner	966.2.be.a.145.2	✓	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.a.145.2	✓	320	161.145	even	66	inner
966.2.be.a.283.2	yes	320	23.7	odd	22	inner
966.2.be.a.355.2	yes	320	7.5	odd	6	inner
966.2.be.a.493.2	yes	320	1.1	even	1	trivial

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.be (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.327068 - 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-1.97434 + 0.188527i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-0.675577 + 2.55805i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\)	\(q+(0.327068 - 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-1.97434 + 0.188527i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-0.675577 + 2.55805i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.467586 + 1.92742i) q^{10} +(2.38721 - 0.826221i) q^{11} +(-0.189251 + 0.981929i) q^{12} +(0.570271 + 1.94216i) q^{13} +(2.19640 + 1.47508i) q^{14} +(1.07226 + 1.66848i) q^{15} +(0.235759 + 0.971812i) q^{16} +(3.52938 + 1.41295i) q^{17} +(0.580057 + 0.814576i) q^{18} +(4.92396 - 1.97126i) q^{19} +(1.66848 + 1.07226i) q^{20} +(2.58325 - 0.571688i) q^{21} -2.52614i q^{22} +(2.28892 - 4.21436i) q^{23} +(0.866025 + 0.500000i) q^{24} +(-1.04716 + 0.201824i) q^{25} +(2.02186 + 0.0963133i) q^{26} +(0.989821 + 0.142315i) q^{27} +(2.11232 - 1.59315i) q^{28} +(-0.905767 - 6.29975i) q^{29} +(1.92742 - 0.467586i) q^{30} +(0.745307 - 0.0355033i) q^{31} +(0.995472 + 0.0950560i) q^{32} +(-1.82826 - 1.74324i) q^{33} +(2.48959 - 2.87314i) q^{34} +(0.851559 - 5.17782i) q^{35} +(0.959493 - 0.281733i) q^{36} +(-0.924857 - 0.658588i) q^{37} +(-0.252369 - 5.29788i) q^{38} +(1.46495 - 1.39683i) q^{39} +(1.55900 - 1.22601i) q^{40} +(10.0317 + 4.58134i) q^{41} +(0.304652 - 2.62815i) q^{42} +(-2.01093 + 3.12907i) q^{43} +(-2.38721 - 0.826221i) q^{44} +(0.991661 - 1.71761i) q^{45} +(-3.23394 - 3.54142i) q^{46} +(-1.95670 + 1.12970i) q^{47} +(0.755750 - 0.654861i) q^{48} +(-6.08719 - 3.45631i) q^{49} +(-0.151769 + 1.05558i) q^{50} +(-0.361375 - 3.78449i) q^{51} +(0.752303 - 1.87916i) q^{52} +(6.02339 + 6.31715i) q^{53} +(0.458227 - 0.888835i) q^{54} +(-4.55740 + 2.08129i) q^{55} +(-0.814653 - 2.51721i) q^{56} +(-4.00841 - 3.47331i) q^{57} +(-6.24951 - 1.20449i) q^{58} +(8.15625 + 1.97869i) q^{59} +(0.188527 - 1.97434i) q^{60} +(7.45815 + 3.84495i) q^{61} +(0.210215 - 0.715928i) q^{62} +(-1.69185 - 2.03412i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-1.49206 - 3.72698i) q^{65} +(-2.24533 + 1.15755i) q^{66} +(1.65585 + 8.59138i) q^{67} +(-1.90085 - 3.29237i) q^{68} +(-4.79472 - 0.103345i) q^{69} +(-4.61453 - 2.49822i) q^{70} +(-5.71818 - 6.59913i) q^{71} +(0.0475819 - 0.998867i) q^{72} +(3.00679 - 3.82345i) q^{73} +(-0.924857 + 0.658588i) q^{74} +(0.659225 + 0.838273i) q^{75} +(-5.08904 - 1.49428i) q^{76} +(0.500768 + 6.66476i) q^{77} +(-0.840865 - 1.84124i) q^{78} +(6.24730 - 6.55198i) q^{79} +(-0.648681 - 1.87424i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(7.61043 - 7.98159i) q^{82} +(7.56099 + 16.5563i) q^{83} +(-2.38396 - 1.14748i) q^{84} +(-7.23458 - 2.12426i) q^{85} +(2.29926 + 2.92375i) q^{86} +(-5.18439 + 3.69179i) q^{87} +(-1.56156 + 1.98568i) q^{88} +(0.832943 - 17.4856i) q^{89} +(-1.29880 - 1.49889i) q^{90} +(-5.35341 + 0.146698i) q^{91} +(-4.40436 + 1.89779i) q^{92} +(-0.373076 - 0.646187i) q^{93} +(0.427594 + 2.21857i) q^{94} +(-9.34994 + 4.82023i) q^{95} +(-0.371662 - 0.928368i) q^{96} +(-0.578590 + 1.26694i) q^{97} +(-5.25714 + 4.62195i) q^{98} +(-0.711697 + 2.42382i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9}+O(q^{10}) \) 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9	\( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) \) 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9 - 22 * q^14 + 16 * q^16 + 66 * q^17 + 16 * q^18 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

Introduction

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