LMFDB - Embedded newform 966.2.be.b.19.8

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			19.8
Character	$\chi$	$=$	966.19
Dual form			966.2.be.b.661.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.995472 - 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(2.93697 - 1.51411i) q^{5} +(0.755750 - 0.654861i) q^{6} +(-2.06506 - 1.65394i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})$	\(q+(-0.995472 - 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(2.93697 - 1.51411i) q^{5} +(0.755750 - 0.654861i) q^{6} +(-2.06506 - 1.65394i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(-3.06760 + 1.22808i) q^{10} +(0.0879435 + 0.920986i) q^{11} +(-0.814576 + 0.580057i) q^{12} +(5.70047 + 0.819604i) q^{13} +(1.89849 + 1.84275i) q^{14} +(-0.930927 + 3.17044i) q^{15} +(0.928368 + 0.371662i) q^{16} +(-0.574020 + 1.65852i) q^{17} +(-0.0475819 + 0.998867i) q^{18} +(-0.560943 - 1.62074i) q^{19} +(3.17044 - 0.930927i) q^{20} +(2.62207 - 0.353206i) q^{21} -0.925175i q^{22} +(0.861201 - 4.71787i) q^{23} +(0.866025 - 0.500000i) q^{24} +(3.43298 - 4.82094i) q^{25} +(-5.59675 - 1.35776i) q^{26} +(0.755750 + 0.654861i) q^{27} +(-1.71473 - 2.01487i) q^{28} +(-2.01427 - 2.32459i) q^{29} +(1.22808 - 3.06760i) q^{30} +(-2.36675 + 0.574168i) q^{31} +(-0.888835 - 0.458227i) q^{32} +(-0.727237 - 0.571905i) q^{33} +(0.729074 - 1.59645i) q^{34} +(-8.56928 - 1.73084i) q^{35} +(0.142315 - 0.989821i) q^{36} +(1.39076 - 0.0662501i) q^{37} +(0.404342 + 1.66672i) q^{38} +(-4.52695 + 3.56003i) q^{39} +(-3.24458 + 0.625341i) q^{40} +(6.30026 - 9.80339i) q^{41} +(-2.64377 + 0.102363i) q^{42} +(0.343052 + 1.16833i) q^{43} +(-0.0879435 + 0.920986i) q^{44} +(-1.65215 - 2.86160i) q^{45} +(-1.30576 + 4.61465i) q^{46} +(3.87557 + 2.23756i) q^{47} +(-0.909632 + 0.415415i) q^{48} +(1.52896 + 6.83098i) q^{49} +(-3.87569 + 4.47279i) q^{50} +(-0.804210 - 1.55995i) q^{51} +(5.44235 + 1.88361i) q^{52} +(-3.80360 - 4.83667i) q^{53} +(-0.690079 - 0.723734i) q^{54} +(1.65276 + 2.57175i) q^{55} +(1.51544 + 2.16874i) q^{56} +(1.56008 + 0.712464i) q^{57} +(1.78418 + 2.50553i) q^{58} +(0.215048 + 0.537164i) q^{59} +(-1.51411 + 2.93697i) q^{60} +(-1.79559 + 1.71209i) q^{61} +(2.41062 - 0.346594i) q^{62} +(-1.55381 + 2.14142i) q^{63} +(0.841254 + 0.540641i) q^{64} +(17.9831 - 6.22401i) q^{65} +(0.669581 + 0.638444i) q^{66} +(4.09344 + 2.91493i) q^{67} +(-0.877524 + 1.51992i) q^{68} +(2.82019 + 3.87899i) q^{69} +(8.36595 + 2.53756i) q^{70} +(-6.63620 - 14.5313i) q^{71} +(-0.235759 + 0.971812i) q^{72} +(-0.470734 + 2.44240i) q^{73} +(-1.39076 - 0.0662501i) q^{74} +(1.12005 + 5.81139i) q^{75} +(-0.244079 - 1.69761i) q^{76} +(1.34165 - 2.04735i) q^{77} +(4.84486 - 3.11360i) q^{78} +(6.16519 - 7.83968i) q^{79} +(3.28933 - 0.314093i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(-7.20360 + 9.16013i) q^{82} +(2.78168 - 1.78768i) q^{83} +(2.64153 + 0.149407i) q^{84} +(0.825311 + 5.74016i) q^{85} +(-0.230442 - 1.19565i) q^{86} +(3.07238 + 0.146356i) q^{87} +(0.175090 - 0.908456i) q^{88} +(2.83470 - 11.6848i) q^{89} +(1.37265 + 3.00569i) q^{90} +(-10.4162 - 11.1208i) q^{91} +(1.73850 - 4.46963i) q^{92} +(1.21770 - 2.10912i) q^{93} +(-3.64533 - 2.59582i) q^{94} +(-4.10146 - 3.91073i) q^{95} +(0.945001 - 0.327068i) q^{96} +(10.8129 + 6.94905i) q^{97} +(-0.872710 - 6.94539i) q^{98} +(0.915758 - 0.131666i) 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} + 36 q^{23} + 24 q^{25} + 12 q^{26} + 44 q^{28} + 8 q^{29} - 48 q^{31} + 16 q^{32} - 46 q^{35} + 32 q^{36} - 22 q^{37} + 66 q^{38} + 8 q^{39} + 176 q^{43} - 8 q^{46} + 120 q^{47} - 24 q^{49} - 48 q^{50} - 22 q^{51} - 12 q^{52} - 44 q^{53} + 44 q^{57} + 18 q^{58} + 12 q^{59} - 32 q^{64} - 108 q^{70} - 48 q^{71} - 16 q^{72} + 252 q^{73} + 22 q^{74} - 36 q^{75} - 42 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 12 q^{82} - 22 q^{84} - 76 q^{85} + 22 q^{86} + 24 q^{87} - 22 q^{88} + 16 q^{92} + 12 q^{94} + 26 q^{95} + 2 q^{98} + 88 q^{99}+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 + 36 * q^23 + 24 * q^25 + 12 * q^26 + 44 * q^28 + 8 * q^29 - 48 * q^31 + 16 * q^32 - 46 * q^35 + 32 * q^36 - 22 * q^37 + 66 * q^38 + 8 * q^39 + 176 * q^43 - 8 * q^46 + 120 * q^47 - 24 * q^49 - 48 * q^50 - 22 * q^51 - 12 * q^52 - 44 * q^53 + 44 * q^57 + 18 * q^58 + 12 * q^59 - 32 * q^64 - 108 * q^70 - 48 * q^71 - 16 * q^72 + 252 * q^73 + 22 * q^74 - 36 * q^75 - 42 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 12 * q^82 - 22 * q^84 - 76 * q^85 + 22 * q^86 + 24 * q^87 - 22 * q^88 + 16 * q^92 + 12 * q^94 + 26 * q^95 + 2 * q^98 + 88 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{15}{22}\right)$

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 $

$2$	−0.995472	−	0.0950560i	−0.703905	−	0.0672148i
$2$	−0.995472	−	0.0950560i	−0.703905	−	0.0672148i
$3$	−0.690079	+	0.723734i	−0.398417	+	0.417848i
$3$	−0.690079	+	0.723734i	−0.398417	+	0.417848i
$4$	0.981929	+	0.189251i	0.490964	+	0.0946256i
$5$	2.93697	−	1.51411i	1.31345	−	0.677132i	0.347948	−	0.937514i	$-0.386879\pi$
$5$	2.93697	−	1.51411i	1.31345	−	0.677132i	0.965506	+	0.260382i	$0.0838483\pi$
$6$	0.755750	−	0.654861i	0.308533	−	0.267346i
$7$	−2.06506	−	1.65394i	−0.780520	−	0.625131i
$7$	−2.06506	−	1.65394i	−0.780520	−	0.625131i
$8$	−0.959493	−	0.281733i	−0.339232	−	0.0996075i
$9$	−0.0475819	−	0.998867i	−0.0158606	−	0.332956i
$10$	−3.06760	+	1.22808i	−0.970060	+	0.388353i
$11$	0.0879435	+	0.920986i	0.0265160	+	0.277688i	0.999000	+	0.0447169i	$0.0142386\pi$
$11$	0.0879435	+	0.920986i	0.0265160	+	0.277688i	−0.972484	+	0.232971i	$0.925155\pi$
$12$	−0.814576	+	0.580057i	−0.235148	+	0.167448i
$13$	5.70047	+	0.819604i	1.58103	+	0.227317i	0.876159	−	0.482022i	$-0.160098\pi$
$13$	5.70047	+	0.819604i	1.58103	+	0.227317i	0.704867	+	0.709339i	$0.251007\pi$
$14$	1.89849	+	1.84275i	0.507394	+	0.492495i
$15$	−0.930927	+	3.17044i	−0.240364	+	0.818605i
$16$	0.928368	+	0.371662i	0.232092	+	0.0929156i
$17$	−0.574020	+	1.65852i	−0.139220	+	0.402251i	−0.992960	−	0.118449i	$-0.962208\pi$
$17$	−0.574020	+	1.65852i	−0.139220	+	0.402251i	0.853740	+	0.520700i	$0.174329\pi$
$18$	−0.0475819	+	0.998867i	−0.0112152	+	0.235435i
$19$	−0.560943	−	1.62074i	−0.128689	−	0.371823i	0.862188	−	0.506588i	$-0.169093\pi$
$19$	−0.560943	−	1.62074i	−0.128689	−	0.371823i	−0.990878	+	0.134765i	$0.956972\pi$
$20$	3.17044	−	0.930927i	0.708933	−	0.208161i
$21$	2.62207	−	0.353206i	0.572182	−	0.0770758i
$22$		−	0.925175i		−	0.197248i
$23$	0.861201	−	4.71787i	0.179573	−	0.983745i
$23$	0.861201	−	4.71787i	0.179573	−	0.983745i
$24$	0.866025	−	0.500000i	0.176777	−	0.102062i
$25$	3.43298	−	4.82094i	0.686595	−	0.964188i
$26$	−5.59675	−	1.35776i	−1.09761	−	0.266278i
$27$	0.755750	+	0.654861i	0.145444	+	0.126028i
$28$	−1.71473	−	2.01487i	−0.324054	−	0.380774i
$29$	−2.01427	−	2.32459i	−0.374040	−	0.431665i	0.537255	−	0.843420i	$-0.319461\pi$
$29$	−2.01427	−	2.32459i	−0.374040	−	0.431665i	−0.911295	+	0.411755i	$0.864916\pi$
$30$	1.22808	−	3.06760i	0.224216	−	0.560064i
$31$	−2.36675	+	0.574168i	−0.425082	+	0.103124i	−0.442592	−	0.896723i	$-0.645941\pi$
$31$	−2.36675	+	0.574168i	−0.425082	+	0.103124i	0.0175106	+	0.999847i	$0.494426\pi$
$32$	−0.888835	−	0.458227i	−0.157125	−	0.0810038i
$33$	−0.727237	−	0.571905i	−0.126596	−	0.0995559i
$34$	0.729074	−	1.59645i	0.125035	−	0.273789i
$35$	−8.56928	−	1.73084i	−1.44847	−	0.292565i
$36$	0.142315	−	0.989821i	0.0237191	−	0.164970i
$37$	1.39076	−	0.0662501i	0.228640	−	0.0108914i	0.0670505	−	0.997750i	$-0.478641\pi$
$37$	1.39076	−	0.0662501i	0.228640	−	0.0108914i	0.161589	+	0.986858i	$0.448338\pi$
$38$	0.404342	+	1.66672i	0.0655929	+	0.270378i
$39$	−4.52695	+	3.56003i	−0.724892	+	0.570062i
$40$	−3.24458	+	0.625341i	−0.513013	+	0.0988751i
$41$	6.30026	−	9.80339i	0.983935	−	1.53103i	0.143124	−	0.989705i	$-0.454285\pi$
$41$	6.30026	−	9.80339i	0.983935	−	1.53103i	0.840811	−	0.541328i	$-0.182078\pi$
$42$	−2.64377	+	0.102363i	−0.407943	+	0.0157949i
$43$	0.343052	+	1.16833i	0.0523150	+	0.178168i	0.981506	−	0.191431i	$-0.0613130\pi$
$43$	0.343052	+	1.16833i	0.0523150	+	0.178168i	−0.929191	+	0.369600i	$0.879495\pi$
$44$	−0.0879435	+	0.920986i	−0.0132580	+	0.138844i
$45$	−1.65215	−	2.86160i	−0.246287	−	0.426582i
$46$	−1.30576	+	4.61465i	−0.192524	+	0.680393i
$47$	3.87557	+	2.23756i	0.565310	+	0.326382i	0.755274	−	0.655409i	$-0.227504\pi$
$47$	3.87557	+	2.23756i	0.565310	+	0.326382i	−0.189964	+	0.981791i	$0.560837\pi$
$48$	−0.909632	+	0.415415i	−0.131294	+	0.0599600i
$49$	1.52896	+	6.83098i	0.218423	+	0.975854i
$50$	−3.87569	+	4.47279i	−0.548105	+	0.632547i
$51$	−0.804210	−	1.55995i	−0.112612	−	0.218437i
$52$	5.44235	+	1.88361i	0.754717	+	0.261210i
$53$	−3.80360	−	4.83667i	−0.522464	−	0.664368i	0.451182	−	0.892432i	$-0.351003\pi$
$53$	−3.80360	−	4.83667i	−0.522464	−	0.664368i	−0.973646	+	0.228065i	$0.926760\pi$
$54$	−0.690079	−	0.723734i	−0.0939079	−	0.0984877i
$55$	1.65276	+	2.57175i	0.222859	+	0.346775i
$56$	1.51544	+	2.16874i	0.202510	+	0.289810i
$57$	1.56008	+	0.712464i	0.206637	+	0.0943681i
$58$	1.78418	+	2.50553i	0.234274	+	0.328992i
$59$	0.215048	+	0.537164i	0.0279969	+	0.0699328i	0.941708	−	0.336432i	$-0.109220\pi$
$59$	0.215048	+	0.537164i	0.0279969	+	0.0699328i	−0.913711	+	0.406365i	$0.866796\pi$
$60$	−1.51411	+	2.93697i	−0.195471	+	0.379161i
$61$	−1.79559	+	1.71209i	−0.229902	+	0.219211i	−0.796270	−	0.604941i	$-0.793197\pi$
$61$	−1.79559	+	1.71209i	−0.229902	+	0.219211i	0.566368	+	0.824152i	$0.308348\pi$
$62$	2.41062	−	0.346594i	0.306148	−	0.0440175i
$63$	−1.55381	+	2.14142i	−0.195761	+	0.269794i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	17.9831	−	6.22401i	2.23053	−	0.771993i
$66$	0.669581	+	0.638444i	0.0824197	+	0.0785870i
$67$	4.09344	+	2.91493i	0.500094	+	0.356115i	0.802099	−	0.597191i	$-0.203717\pi$
$67$	4.09344	+	2.91493i	0.500094	+	0.356115i	−0.302005	+	0.953306i	$0.597656\pi$
$68$	−0.877524	+	1.51992i	−0.106415	+	0.184317i
$69$	2.82019	+	3.87899i	0.339511	+	0.466975i
$70$	8.36595	+	2.53756i	0.999923	+	0.303297i
$71$	−6.63620	−	14.5313i	−0.787572	−	1.72454i	−0.683473	−	0.729976i	$-0.739531\pi$
$71$	−6.63620	−	14.5313i	−0.787572	−	1.72454i	−0.104099	−	0.994567i	$-0.533196\pi$
$72$	−0.235759	+	0.971812i	−0.0277845	+	0.114529i
$73$	−0.470734	+	2.44240i	−0.0550952	+	0.285861i	−0.999018	−	0.0443050i	$-0.985893\pi$
$73$	−0.470734	+	2.44240i	−0.0550952	+	0.285861i	0.943923	+	0.330166i	$0.107105\pi$
$74$	−1.39076	−	0.0662501i	−0.161673	−	0.00770141i
$75$	1.12005	+	5.81139i	0.129333	+	0.671042i
$76$	−0.244079	−	1.69761i	−0.0279978	−	0.194729i
$77$	1.34165	−	2.04735i	0.152895	−	0.233317i
$78$	4.84486	−	3.11360i	0.548572	−	0.352546i
$79$	6.16519	−	7.83968i	0.693638	−	0.882033i	−0.303861	−	0.952716i	$-0.598276\pi$
$79$	6.16519	−	7.83968i	0.693638	−	0.882033i	0.997499	+	0.0706838i	$0.0225181\pi$
$80$	3.28933	−	0.314093i	0.367758	−	0.0351167i
$81$	−0.995472	+	0.0950560i	−0.110608	+	0.0105618i
$82$	−7.20360	+	9.16013i	−0.795505	+	1.01157i
$83$	2.78168	−	1.78768i	0.305329	−	0.196223i	−0.378999	−	0.925397i	$-0.623732\pi$
$83$	2.78168	−	1.78768i	0.305329	−	0.196223i	0.684329	+	0.729174i	$0.260095\pi$
$84$	2.64153	+	0.149407i	0.288214	+	0.0163017i
$85$	0.825311	+	5.74016i	0.0895176	+	0.622608i
$86$	−0.230442	−	1.19565i	−0.0248492	−	0.128930i
$87$	3.07238	+	0.146356i	0.329394	+	0.0156910i
$88$	0.175090	−	0.908456i	0.0186647	−	0.0968417i
$89$	2.83470	−	11.6848i	0.300478	−	1.23859i	−0.598689	−	0.800981i	$-0.704312\pi$
$89$	2.83470	−	11.6848i	0.300478	−	1.23859i	0.899167	−	0.437605i	$-0.144173\pi$
$90$	1.37265	+	3.00569i	0.144690	+	0.316827i
$91$	−10.4162	−	11.1208i	−1.09192	−	1.16577i
$92$	1.73850	−	4.46963i	0.181251	−	0.465991i
$93$	1.21770	−	2.10912i	0.126270	−	0.218706i
$94$	−3.64533	−	2.59582i	−0.375987	−	0.267739i
$95$	−4.10146	−	3.91073i	−0.420800	−	0.401232i
$96$	0.945001	−	0.327068i	0.0964487	−	0.0333812i
$97$	10.8129	+	6.94905i	1.09789	+	0.705569i	0.958621	−	0.284686i	$-0.0918893\pi$
$97$	10.8129	+	6.94905i	1.09789	+	0.705569i	0.139266	+	0.990255i	$0.455526\pi$
$98$	−0.872710	−	6.94539i	−0.0881571	−	0.701590i
$99$	0.915758	−	0.131666i	0.0920371	−	0.0132329i
$100$	4.28331	−	4.08412i	0.428331	−	0.408412i
$101$	4.76058	−	9.23423i	0.473695	−	0.918840i	−0.524048	−	0.851689i	$-0.675579\pi$
$101$	4.76058	−	9.23423i	0.473695	−	0.918840i	0.997743	−	0.0671513i	$-0.0213910\pi$
$102$	0.652286	+	1.62933i	0.0645859	+	0.161328i
$103$	−1.51678	−	2.13002i	−0.149452	−	0.209877i	0.733062	−	0.680162i	$-0.238090\pi$
$103$	−1.51678	−	2.13002i	−0.149452	−	0.209877i	−0.882515	+	0.470285i	$0.844151\pi$
$104$	−5.23865	−	2.39241i	−0.513692	−	0.234595i
$105$	7.16615	−	5.00747i	0.699344	−	0.488679i
$106$	3.32662	+	5.17632i	0.323110	+	0.502769i
$107$	3.90227	+	4.09258i	0.377246	+	0.395644i	0.884796	−	0.465978i	$-0.154297\pi$
$107$	3.90227	+	4.09258i	0.377246	+	0.395644i	−0.507550	+	0.861622i	$0.669449\pi$
$108$	0.618159	+	0.786053i	0.0594824	+	0.0756380i
$109$	13.0593	+	4.51988i	1.25086	+	0.432926i	0.870617	−	0.491961i	$-0.163720\pi$
$109$	13.0593	+	4.51988i	1.25086	+	0.432926i	0.380241	+	0.924887i	$0.375841\pi$
$110$	−1.40082	−	2.71721i	−0.133563	−	0.259076i
$111$	−0.911787	+	1.05226i	−0.0865430	+	0.0998759i
$112$	−1.30243	−	2.30297i	−0.123068	−	0.217610i
$113$	1.75614	−	0.802000i	0.165203	−	0.0754458i	−0.331097	−	0.943597i	$-0.607419\pi$
$113$	1.75614	−	0.802000i	0.165203	−	0.0754458i	0.496300	+	0.868151i	$0.334691\pi$
$114$	−1.48529	−	0.857533i	−0.139110	−	0.0803153i
$115$	−4.61408	−	15.1602i	−0.430265	−	1.41370i
$116$	−1.53793	−	2.66378i	−0.142794	−	0.247326i
$117$	0.547436	−	5.73301i	0.0506105	−	0.530017i
$118$	−0.163014	−	0.555173i	−0.0150066	−	0.0511078i
$119$	3.92848	−	2.47556i	0.360124	−	0.226934i
$120$	1.78643	−	2.77975i	0.163078	−	0.253755i
$121$	9.96074	−	1.91977i	0.905521	−	0.174525i
$122$	1.95020	−	1.53366i	0.176563	−	0.138851i
$123$	2.74737	+	11.3248i	0.247722	+	1.02113i
$124$	−2.43265	+	0.115881i	−0.218458	+	0.0104064i
$125$	0.431851	−	3.00359i	0.0386259	−	0.268649i
$126$	1.75033	−	1.98403i	0.155932	−	0.176751i
$127$	−6.13497	+	13.4337i	−0.544391	+	1.19205i	0.414962	+	0.909839i	$0.363795\pi$
$127$	−6.13497	+	13.4337i	−0.544391	+	1.19205i	−0.959353	+	0.282210i	$0.908932\pi$
$128$	−0.786053	−	0.618159i	−0.0694779	−	0.0546381i
$129$	−1.08229	−	0.557960i	−0.0952905	−	0.0491257i
$130$	−18.4933	+	4.48643i	−1.62197	+	0.393486i
$131$	5.74772	−	14.3571i	0.502181	−	1.25439i	−0.433377	−	0.901213i	$-0.642678\pi$
$131$	5.74772	−	14.3571i	0.502181	−	1.25439i	0.935558	−	0.353174i	$-0.114898\pi$
$132$	−0.605861	−	0.699200i	−0.0527334	−	0.0608576i
$133$	−1.52222	+	4.27469i	−0.131993	+	0.370663i
$134$	−3.79783	−	3.29084i	−0.328082	−	0.284285i
$135$	3.21115	+	0.779016i	0.276372	+	0.0670470i
$136$	1.01803	−	1.42962i	0.0872952	−	0.122589i
$137$	7.78951	−	4.49728i	0.665503	−	0.384228i	−0.128868	−	0.991662i	$-0.541134\pi$
$137$	7.78951	−	4.49728i	0.665503	−	0.384228i	0.794371	+	0.607434i	$0.207801\pi$
$138$	−2.43870	−	4.12950i	−0.207596	−	0.351526i
$139$			20.0580i			1.70130i	0.525732	+	0.850650i	$0.323791\pi$
$139$			20.0580i			1.70130i	−0.525732	+	0.850650i	$0.676209\pi$
$140$	−8.08686	−	3.32131i	−0.683464	−	0.280702i
$141$	−4.29385	+	1.26079i	−0.361607	+	0.106177i
$142$	5.22487	+	15.0963i	0.438461	+	1.26685i
$143$	−0.253524	+	5.32213i	−0.0212008	+	0.445059i
$144$	0.327068	−	0.945001i	0.0272557	−	0.0787501i
$145$	−9.43553	−	3.77742i	−0.783578	−	0.313697i
$146$	0.700767	−	2.38659i	0.0579959	−	0.197516i
$147$	−5.99892	−	3.60736i	−0.494782	−	0.297530i
$148$	1.37816	+	0.198150i	0.113284	+	0.0162878i
$149$	−14.5701	+	10.3754i	−1.19363	+	0.849982i	−0.991593	−	0.129395i	$-0.958696\pi$
$149$	−14.5701	+	10.3754i	−1.19363	+	0.849982i	−0.202040	+	0.979377i	$0.564757\pi$
$150$	−0.562574	−	5.89154i	−0.0459340	−	0.481043i
$151$	2.32989	−	0.932747i	0.189604	−	0.0759059i	−0.274918	−	0.961468i	$-0.588651\pi$
$151$	2.32989	−	0.932747i	0.189604	−	0.0759059i	0.464521	+	0.885562i	$0.346226\pi$
$152$	0.0816061	+	1.71312i	0.00661913	+	0.138953i
$153$	1.68396	+	0.494454i	0.136140	+	0.0399743i
$154$	−1.53018	+	1.91054i	−0.123306	+	0.153956i
$155$	−6.08173	+	5.26985i	−0.488497	+	0.423285i
$156$	−5.11888	+	2.63897i	−0.409839	+	0.211287i
$157$	−12.2328	−	2.35768i	−0.976282	−	0.188163i	−0.323932	−	0.946080i	$-0.605005\pi$
$157$	−12.2328	−	2.35768i	−0.976282	−	0.188163i	−0.652351	+	0.757917i	$0.726217\pi$
$158$	−6.88248	+	7.21814i	−0.547541	+	0.574244i
$159$	6.12525	+	0.584890i	0.485764	+	0.0463848i
$160$	−3.30429			−0.261227
$161$	−9.58152	+	8.31832i	−0.755129	+	0.655576i
$162$	1.00000			0.0785674
$163$	−13.0061	−	1.24193i	−1.01871	−	0.0972754i	−0.427687	−	0.903927i	$-0.640671\pi$
$163$	−13.0061	−	1.24193i	−1.01871	−	0.0972754i	−0.591027	+	0.806652i	$0.701277\pi$
$164$	8.04171	−	8.43390i	0.627952	−	0.658577i
$165$	−3.00180	−	0.578550i	−0.233690	−	0.0450401i
$166$	−2.93902	+	1.51517i	−0.228112	+	0.117600i
$167$	−5.75733	+	4.98875i	−0.445515	+	0.386041i	−0.848526	−	0.529154i	$-0.822509\pi$
$167$	−5.75733	+	4.98875i	−0.445515	+	0.386041i	0.403010	+	0.915195i	$0.367964\pi$
$168$	−2.61537	−	0.399824i	−0.201780	−	0.0308471i
$169$	19.3502	+	5.68173i	1.48848	+	0.437057i
$170$	−0.275937	−	5.79262i	−0.0211634	−	0.444274i
$171$	−1.59221	+	0.637425i	−0.121759	+	0.0487451i
$172$	0.115745	+	1.21214i	0.00882549	+	0.0924247i
$173$	−20.8302	+	14.8331i	−1.58369	+	1.12774i	−0.655776	+	0.754956i	$0.727658\pi$
$173$	−20.8302	+	14.8331i	−1.58369	+	1.12774i	−0.927917	+	0.372787i	$0.878402\pi$
$174$	−3.04456	−	0.437742i	−0.230808	−	0.0331851i
$175$	−15.0629	+	4.27760i	−1.13864	+	0.323356i
$176$	−0.260652	+	0.887699i	−0.0196474	+	0.0669128i
$177$	−0.537164	−	0.215048i	−0.0403757	−	0.0161640i
$178$	−3.93258	+	11.3624i	−0.294759	+	0.851651i
$179$	−0.900260	+	18.8988i	−0.0672886	+	1.41256i	0.672687	+	0.739927i	$0.265140\pi$
$179$	−0.900260	+	18.8988i	−0.0672886	+	1.41256i	−0.739975	+	0.672634i	$0.765163\pi$
$180$	−1.08073	−	3.12256i	−0.0805527	−	0.232742i
$181$	−20.8209	+	6.11358i	−1.54761	+	0.454419i	−0.940385	−	0.340113i	$-0.889535\pi$
$181$	−20.8209	+	6.11358i	−1.54761	+	0.454419i	−0.607223	+	0.794532i	$0.707716\pi$
$182$	9.31199	+	12.0605i	0.690250	+	0.893987i
$183$		−	2.48101i		−	0.183401i
$184$	−2.15549	+	4.28414i	−0.158905	+	0.315831i
$185$	3.98431	−	2.30034i	0.292932	−	0.169125i
$186$	−1.41267	+	1.98382i	−0.103582	+	0.145461i
$187$	−1.57796	−	0.382808i	−0.115392	−	0.0279937i
$188$	3.38207	+	2.93058i	0.246663	+	0.213735i
$189$	−0.477569	−	2.60229i	−0.0347380	−	0.189289i
$190$	3.71115	+	4.28289i	0.269235	+	0.310713i
$191$	5.28059	−	13.1903i	0.382090	−	0.954414i	−0.605285	−	0.796009i	$-0.706941\pi$
$191$	5.28059	−	13.1903i	0.382090	−	0.954414i	0.987374	−	0.158405i	$-0.0506351\pi$
$192$	−0.971812	+	0.235759i	−0.0701345	+	0.0170144i
$193$	9.33913	+	4.81466i	0.672246	+	0.346567i	0.760321	−	0.649547i	$-0.225041\pi$
$193$	9.33913	+	4.81466i	0.672246	+	0.346567i	−0.0880757	+	0.996114i	$0.528072\pi$
$194$	−10.1034	−	7.94542i	−0.725383	−	0.570448i
$195$	−7.90523	+	17.3100i	−0.566105	+	1.23960i
$196$	0.208558	+	6.99689i	0.0148970	+	0.499778i
$197$	−1.75898	+	12.2340i	−0.125322	+	0.871636i	0.826051	+	0.563596i	$0.190582\pi$
$197$	−1.75898	+	12.2340i	−0.125322	+	0.871636i	−0.951373	+	0.308041i	$0.900327\pi$
$198$	−0.924127	+	0.0440216i	−0.0656748	+	0.00312848i
$199$	−4.34908	−	17.9272i	−0.308298	−	1.27082i	−0.889452	−	0.457029i	$-0.848913\pi$
$199$	−4.34908	−	17.9272i	−0.308298	−	1.27082i	0.581153	−	0.813794i	$-0.302602\pi$
$200$	−4.65213	+	3.65848i	−0.328955	+	0.258693i
$201$	−4.93443	+	0.951034i	−0.348048	+	0.0670808i
$202$	−5.61679	+	8.73989i	−0.395196	+	0.614937i
$203$	0.314854	+	8.13189i	0.0220984	+	0.570747i
$204$	−0.494454	−	1.68396i	−0.0346187	−	0.117901i
$205$	3.66022	−	38.3316i	0.255641	−	2.67719i
$206$	1.30744	+	2.26455i	0.0910935	+	0.157779i
$207$	−4.75351	−	0.635740i	−0.330392	−	0.0441870i
$208$	4.98752	+	2.87955i	0.345822	+	0.199661i
$209$	1.44335	−	0.659154i	0.0998383	−	0.0455946i
$210$	−7.60969	+	4.30361i	−0.525118	+	0.296977i
$211$	−2.71212	+	3.12995i	−0.186710	+	0.215475i	−0.841386	−	0.540435i	$-0.818260\pi$
$211$	−2.71212	+	3.12995i	−0.186710	+	0.215475i	0.654676	+	0.755910i	$0.272805\pi$
$212$	−2.81952	−	5.46910i	−0.193645	−	0.375619i
$213$	15.0963	+	5.22487i	1.03438	+	0.358002i
$214$	−3.49557	−	4.44498i	−0.238952	−	0.303853i
$215$	2.77652	+	2.91193i	0.189357	+	0.198592i
$216$	−0.540641	−	0.841254i	−0.0367859	−	0.0572401i
$217$	5.83713	+	2.72878i	0.396250	+	0.185242i
$218$	−12.5706	−	5.74078i	−0.851386	−	0.388815i
$219$	−1.44280	−	2.02613i	−0.0974956	−	0.136913i
$220$	1.13619	+	2.83806i	0.0766019	+	0.191342i
$221$	−4.63152	+	8.98389i	−0.311550	+	0.604322i
$222$	1.00768	−	0.960823i	0.0676312	−	0.0644862i
$223$	9.12951	−	1.31263i	0.611357	−	0.0878999i	0.170320	−	0.985389i	$-0.445520\pi$
$223$	9.12951	−	1.31263i	0.611357	−	0.0878999i	0.441037	+	0.897489i	$0.354611\pi$
$224$	1.07762	+	2.41635i	0.0720015	+	0.161449i
$225$	−4.97883	−	3.19970i	−0.331922	−	0.213313i
$226$	−1.82442	+	0.631437i	−0.121359	+	0.0420026i
$227$	14.5286	+	13.8530i	0.964296	+	0.919455i	0.996793	−	0.0800170i	$-0.0254975\pi$
$227$	14.5286	+	13.8530i	0.964296	+	0.919455i	−0.0324970	+	0.999472i	$0.510346\pi$
$228$	1.39705	+	0.994835i	0.0925220	+	0.0658846i
$229$	12.7614	−	22.1033i	0.843295	−	1.46063i	−0.0437981	−	0.999040i	$-0.513946\pi$
$229$	12.7614	−	22.1033i	0.843295	−	1.46063i	0.887093	−	0.461590i	$-0.152721\pi$
$230$	3.15211	+	15.5302i	0.207844	+	1.02403i
$231$	0.555891	+	2.38383i	0.0365749	+	0.156844i
$232$	1.27776	+	2.79791i	0.0838892	+	0.183692i
$233$	−1.48601	+	6.12542i	−0.0973519	+	0.401290i	−0.999549	−	0.0300344i	$-0.990438\pi$
$233$	−1.48601	+	6.12542i	−0.0973519	+	0.401290i	0.902197	+	0.431324i	$0.141953\pi$
$234$	−1.08992	+	5.65502i	−0.0712500	+	0.369680i
$235$	14.7704	+	0.703599i	0.963512	+	0.0458977i
$236$	0.109503	+	0.568155i	0.00712803	+	0.0369837i
$237$	1.41937	+	9.87196i	0.0921982	+	0.641252i
$238$	−4.14601	+	2.09092i	−0.268746	+	0.135534i
$239$	−3.11105	+	1.99935i	−0.201237	+	0.129327i	−0.637378	−	0.770551i	$-0.719981\pi$
$239$	−3.11105	+	1.99935i	−0.201237	+	0.129327i	0.436141	+	0.899878i	$0.356345\pi$
$240$	−2.04258	+	2.59735i	−0.131848	+	0.167658i
$241$	−24.0858	+	2.29991i	−1.55150	+	0.148150i	−0.835320	−	0.549764i	$-0.814718\pi$
$241$	−24.0858	+	2.29991i	−1.55150	+	0.148150i	−0.716181	+	0.697915i	$0.754112\pi$
$242$	−10.0981	+	0.964253i	−0.649132	+	0.0619846i
$243$	0.618159	−	0.786053i	0.0396549	−	0.0504253i
$244$	−2.08716	+	1.34133i	−0.133617	+	0.0858701i
$245$	14.8334	+	17.7474i	0.947671	+	1.13384i
$246$	−1.65844	−	11.5347i	−0.105738	−	0.735426i
$247$	−1.86928	−	9.69872i	−0.118939	−	0.617115i
$248$	2.43265	+	0.115881i	0.154473	+	0.00735846i
$249$	−0.625777	+	3.24684i	−0.0396570	+	0.205760i
$250$	−0.715404	+	2.94894i	−0.0452461	+	0.186507i
$251$	−1.60257	−	3.50913i	−0.101153	−	0.221494i	0.852289	−	0.523072i	$-0.175214\pi$
$251$	−1.60257	−	3.50913i	−0.101153	−	0.221494i	−0.953442	+	0.301578i	$0.902487\pi$
$252$	−1.93099	+	1.80866i	−0.121641	+	0.113935i
$253$	4.42083	+	0.378248i	0.277935	+	0.0237802i
$254$	7.38415	−	12.7897i	0.463323	−	0.802498i
$255$	−4.72388	−	3.36386i	−0.295821	−	0.210653i
$256$	0.723734	+	0.690079i	0.0452334	+	0.0431299i
$257$	3.24336	−	1.12254i	0.202315	−	0.0700221i	−0.224031	−	0.974582i	$-0.571922\pi$
$257$	3.24336	−	1.12254i	0.202315	−	0.0700221i	0.426346	+	0.904560i	$0.359800\pi$
$258$	1.02435	+	0.658312i	0.0637735	+	0.0409847i
$259$	−2.98158	−	2.16342i	−0.185266	−	0.134429i
$260$	18.8360	−	2.70821i	1.16816	−	0.167956i
$261$	−2.22611	+	2.12259i	−0.137793	+	0.131385i
$262$	−7.08643	+	13.7457i	−0.437801	+	0.849215i
$263$	2.63126	+	6.57257i	0.162250	+	0.405282i	0.987107	−	0.160060i	$-0.0511686\pi$
$263$	2.63126	+	6.57257i	0.162250	+	0.405282i	−0.824857	+	0.565342i	$0.808744\pi$
$264$	0.536654	+	0.753625i	0.0330288	+	0.0463824i
$265$	−18.4943	−	8.44608i	−1.13610	−	0.518838i
$266$	1.92167	−	4.11064i	0.117825	−	0.252039i
$267$	6.50052	+	10.1150i	0.397825	+	0.619028i
$268$	3.46782	+	3.63694i	0.211831	+	0.222162i
$269$	−10.1000	−	12.8431i	−0.615805	−	0.783060i	0.373701	−	0.927549i	$-0.378089\pi$
$269$	−10.1000	−	12.8431i	−0.615805	−	0.783060i	−0.989506	+	0.144489i	$0.953846\pi$
$270$	−3.12256	−	1.08073i	−0.190033	−	0.0657710i
$271$	−6.62669	−	12.8540i	−0.402543	−	0.780824i	0.597232	−	0.802069i	$-0.296267\pi$
$271$	−6.62669	−	12.8540i	−0.402543	−	0.780824i	−0.999774	+	0.0212449i	$0.993237\pi$
$272$	−1.14931	+	1.32638i	−0.0696873	+	0.0804234i
$273$	15.2365	+	0.135620i	0.922156	+	0.00820809i
$274$	−8.18173	+	3.73647i	−0.494277	+	0.225729i
$275$	4.74192	+	2.73775i	0.285949	+	0.165093i
$276$	2.03512	+	4.34261i	0.122500	+	0.261395i
$277$	9.07515	+	15.7186i	0.545273	+	0.944440i	0.998590	+	0.0530906i	$0.0169072\pi$
$277$	9.07515	+	15.7186i	0.545273	+	0.944440i	−0.453317	+	0.891349i	$0.649759\pi$
$278$	1.90664	−	19.9672i	0.114353	−	1.19755i
$279$	0.686133	+	2.33675i	0.0410777	+	0.139898i
$280$	7.73453	+	4.07497i	0.462227	+	0.243526i
$281$	−17.4770	+	27.1948i	−1.04259	+	1.62230i	−0.298271	+	0.954481i	$0.596410\pi$
$281$	−17.4770	+	27.1948i	−1.04259	+	1.62230i	−0.744320	+	0.667823i	$0.767226\pi$
$282$	4.39425	−	0.846922i	0.261674	−	0.0504335i
$283$	−22.5816	+	17.7584i	−1.34234	+	1.05563i	−0.349402	+	0.936973i	$0.613615\pi$
$283$	−22.5816	+	17.7584i	−1.34234	+	1.05563i	−0.992936	+	0.118653i	$0.962142\pi$
$284$	−3.76622	−	15.5246i	−0.223484	−	0.921213i
$285$	5.66066	−	0.269650i	0.335308	−	0.0159727i
$286$	0.758277	−	5.27393i	0.0448379	−	0.311854i
$287$	−29.2247	+	9.82436i	−1.72508	+	0.579914i
$288$	−0.415415	+	0.909632i	−0.0244786	+	0.0536006i
$289$	10.9417	+	8.60465i	0.643630	+	0.506156i
$290$	9.03374	+	4.65722i	0.530479	+	0.273481i
$291$	−12.4910	+	3.03029i	−0.732238	+	0.177639i
$292$	−0.924454	+	2.30917i	−0.0540996	+	0.135134i
$293$	−14.2315	−	16.4241i	−0.831416	−	0.959505i	0.168240	−	0.985746i	$-0.446192\pi$
$293$	−14.2315	−	16.4241i	−0.831416	−	0.959505i	−0.999656	+	0.0262410i	$0.991646\pi$
$294$	5.62885	+	4.16125i	0.328281	+	0.242689i
$295$	1.44492	+	1.25203i	0.0841263	+	0.0728959i
$296$	−1.35309	−	0.328256i	−0.0786467	−	0.0190795i
$297$	−0.536654	+	0.753625i	−0.0311398	+	0.0437298i
$298$	15.4904	−	8.94340i	0.897336	−	0.518077i
$299$	8.77604	−	26.1883i	0.507531	−	1.51451i
$300$			5.91834i			0.341696i
$301$	1.22392	−	2.98006i	0.0705457	−	0.171768i
$302$	−2.40800	+	0.707054i	−0.138565	+	0.0406864i
$303$	3.39795	+	9.81774i	0.195207	+	0.564014i
$304$	0.0816061	−	1.71312i	0.00468043	−	0.0982543i
$305$	−2.68129	+	7.74709i	−0.153530	+	0.443597i
$306$	−1.62933	−	0.652286i	−0.0931426	−	0.0372887i
$307$	3.04390	−	10.3666i	0.173725	−	0.591652i	−0.825888	−	0.563834i	$-0.809326\pi$
$307$	3.04390	−	10.3666i	0.173725	−	0.591652i	0.999613	−	0.0278184i	$-0.00885601\pi$
$308$	1.70486	−	1.75644i	0.0971437	−	0.100082i
$309$	2.58826	+	0.372136i	0.147241	+	0.0211701i
$310$	6.55513	−	4.66788i	0.372306	−	0.265118i
$311$	1.37825	+	14.4337i	0.0781536	+	0.818462i	0.946543	+	0.322578i	$0.104550\pi$
$311$	1.37825	+	14.4337i	0.0781536	+	0.818462i	−0.868389	+	0.495883i	$0.834844\pi$
$312$	5.34655	−	2.14044i	0.302689	−	0.121178i
$313$	−0.570010	−	11.9660i	−0.0322189	−	0.676358i	−0.955988	−	0.293407i	$-0.905211\pi$
$313$	−0.570010	−	11.9660i	−0.0322189	−	0.676358i	0.923769	−	0.382951i	$-0.125092\pi$
$314$	11.9533	+	3.50980i	0.674563	+	0.198069i
$315$	−1.32113	+	8.64193i	−0.0744375	+	0.486918i
$316$	7.53745	−	6.53123i	0.424014	−	0.367411i
$317$	10.6083	−	5.46896i	0.595821	−	0.307167i	−0.133811	−	0.991007i	$-0.542722\pi$
$317$	10.6083	−	5.46896i	0.595821	−	0.307167i	0.729632	+	0.683840i	$0.239691\pi$
$318$	−6.04191	−	1.16448i	−0.338814	−	0.0653010i
$319$	1.96377	−	2.05954i	0.109950	−	0.115312i
$320$	3.28933	+	0.314093i	0.183879	+	0.0175583i
$321$	−5.65481			−0.315621
$322$	10.3288	−	7.36988i	0.575604	−	0.410707i
$323$	3.01002			0.167482
$324$	−0.995472	−	0.0950560i	−0.0553040	−	0.00528089i
$325$	23.5208	−	24.6679i	1.30470	−	1.36833i
$326$	12.8291	+	2.47261i	0.710539	+	0.136945i
$327$	−12.2832	+	6.33241i	−0.679261	+	0.350183i
$328$	−8.80699	+	7.63130i	−0.486285	+	0.421368i
$329$	−4.30250	−	11.0307i	−0.237204	−	0.608140i
$330$	2.93322	+	0.861270i	0.161468	+	0.0474113i
$331$	−0.0557159	−	1.16962i	−0.00306242	−	0.0642881i	0.996819	−	0.0797013i	$-0.0253967\pi$
$331$	−0.0557159	−	1.16962i	−0.00306242	−	0.0642881i	−0.999881	+	0.0154132i	$0.995094\pi$
$332$	3.06974	−	1.22894i	0.168474	−	0.0674467i
$333$	−0.132350	−	1.38603i	−0.00725274	−	0.0759541i
$334$	6.20547	−	4.41890i	0.339548	−	0.241791i
$335$	16.4359	+	2.36312i	0.897987	+	0.129111i
$336$	2.56552	+	0.646620i	0.139960	+	0.0352760i
$337$	−6.20397	+	21.1288i	−0.337952	+	1.15096i	0.598781	+	0.800913i	$0.295652\pi$
$337$	−6.20397	+	21.1288i	−0.337952	+	1.15096i	−0.936733	+	0.350046i	$0.886166\pi$
$338$	−18.7225	−	7.49536i	−1.01837	−	0.407694i
$339$	−0.631437	+	1.82442i	−0.0342950	+	0.0990888i
$340$	−0.275937	+	5.79262i	−0.0149648	+	0.314149i
$341$	−0.736941	−	2.12925i	−0.0399076	−	0.115305i
$342$	1.64559	−	0.483190i	0.0889835	−	0.0261279i
$343$	8.14064	−	16.6352i	0.439553	−	0.898217i
$344$		−	1.21765i		−	0.0656514i
$345$	14.1560	+	7.12238i	0.762136	+	0.383456i
$346$	22.1459	−	12.7859i	1.19057	−	0.687376i
$347$	−4.86173	+	6.82735i	−0.260992	+	0.366511i	−0.924191	−	0.381932i	$-0.875259\pi$
$347$	−4.86173	+	6.82735i	−0.260992	+	0.366511i	0.663199	+	0.748443i	$0.269198\pi$
$348$	2.98916	+	0.725164i	0.160236	+	0.0388728i
$349$	−10.6115	−	9.19496i	−0.568023	−	0.492195i	0.322848	−	0.946451i	$-0.395360\pi$
$349$	−10.6115	−	9.19496i	−0.568023	−	0.492195i	−0.890871	+	0.454256i	$0.849905\pi$
$350$	15.4013	−	2.82641i	0.823232	−	0.151078i
$351$	3.77140	+	4.35243i	0.201303	+	0.232316i
$352$	0.343853	−	0.858903i	0.0183274	−	0.0457797i
$353$	−2.77363	+	0.672876i	−0.147626	+	0.0358136i	−0.308891	−	0.951098i	$-0.599958\pi$
$353$	−2.77363	+	0.672876i	−0.147626	+	0.0358136i	0.161265	+	0.986911i	$0.448443\pi$
$354$	0.514290	+	0.265135i	0.0273342	+	0.0140918i
$355$	−41.4923	−	32.6299i	−2.20218	−	1.73182i
$356$	4.99484	−	10.9372i	0.264726	−	0.579669i
$357$	−0.919321	+	4.55151i	−0.0486556	+	0.240891i
$358$	2.69263	−	18.7276i	0.142310	−	0.989786i
$359$	−31.4381	+	1.49758i	−1.65924	+	0.0790393i	−0.856120	−	0.516778i	$-0.827131\pi$
$359$	−31.4381	+	1.49758i	−1.65924	+	0.0790393i	−0.803120	+	0.595817i	$0.796828\pi$
$360$	0.779016	+	3.21115i	0.0410578	+	0.169242i
$361$	12.6229	−	9.92674i	0.664362	−	0.522460i
$362$	21.3078	−	4.10674i	1.11991	−	0.215845i
$363$	−5.48429	+	8.53372i	−0.287850	+	0.447904i
$364$	−8.12339	−	12.8911i	−0.425781	−	0.675677i
$365$	2.31554	+	7.88600i	0.121201	+	0.412772i
$366$	−0.235835	+	2.46977i	−0.0123273	+	0.129097i
$367$	6.45328	+	11.1774i	0.336858	+	0.583456i	0.983840	−	0.179050i	$-0.0573024\pi$
$367$	6.45328	+	11.1774i	0.336858	+	0.583456i	−0.646982	+	0.762505i	$0.723969\pi$
$368$	2.55297	−	4.05985i	0.133083	−	0.211634i
$369$	−10.0921	−	5.82666i	−0.525372	−	0.303324i
$370$	−4.18493	+	1.91119i	−0.217564	+	0.0993583i
$371$	−0.144899	+	16.2789i	−0.00752276	+	0.845161i
$372$	1.59485	−	1.84056i	0.0826892	−	0.0954284i
$373$	7.73609	+	15.0059i	0.400560	+	0.776977i	0.999720	−	0.0236515i	$-0.00752922\pi$
$373$	7.73609	+	15.0059i	0.400560	+	0.776977i	−0.599161	+	0.800629i	$0.704499\pi$
$374$	1.53442	+	0.531069i	0.0793431	+	0.0274609i
$375$	1.87579	+	2.38526i	0.0968652	+	0.123174i
$376$	−3.08819	−	3.23880i	−0.159261	−	0.167028i
$377$	−9.57702	−	14.9021i	−0.493242	−	0.767499i
$378$	0.228042	+	2.63591i	0.0117292	+	0.135576i
$379$	24.3432	+	11.1172i	1.25042	+	0.571050i	0.926949	−	0.375187i	$-0.122421\pi$
$379$	24.3432	+	11.1172i	1.25042	+	0.571050i	0.323476	+	0.946237i	$0.395149\pi$
$380$	−3.28723	−	4.61626i	−0.168631	−	0.236809i
$381$	−5.48882	−	13.7104i	−0.281201	−	0.702406i
$382$	−6.51049	+	12.6286i	−0.333106	+	0.646135i
$383$	−12.0104	+	11.4519i	−0.613704	+	0.585165i	−0.931835	−	0.362881i	$-0.881793\pi$
$383$	−12.0104	+	11.4519i	−0.613704	+	0.585165i	0.318132	+	0.948047i	$0.396945\pi$
$384$	0.989821	−	0.142315i	0.0505116	−	0.00726247i
$385$	0.840465	−	8.04440i	0.0428340	−	0.409981i
$386$	−8.83918	−	5.68060i	−0.449903	−	0.289135i
$387$	1.15068	−	0.398255i	0.0584925	−	0.0202444i
$388$	9.30241	+	8.86983i	0.472258	+	0.450298i
$389$	−0.00298180	−	0.00212333i	−0.000151183	−	0.000107657i	0.579981	−	0.814630i	$-0.303060\pi$
$389$	−0.00298180	−	0.00212333i	−0.000151183	−	0.000107657i	−0.580132	+	0.814522i	$0.696999\pi$
$390$	9.51486	−	16.4802i	0.481804	−	0.834508i
$391$	7.33035	+	4.13648i	0.370712	+	0.209191i
$392$	0.457483	−	6.98503i	0.0231064	−	0.352798i
$393$	6.42435	+	14.0674i	0.324066	+	0.709605i
$394$	2.91393	−	12.0114i	0.146802	−	0.605125i
$395$	6.23682	−	32.3597i	0.313809	−	1.62819i
$396$	0.924127	+	0.0440216i	0.0464391	+	0.00221217i
$397$	4.85720	+	25.2016i	0.243776	+	1.26483i	0.873044	+	0.487641i	$0.162143\pi$
$397$	4.85720	+	25.2016i	0.243776	+	1.26483i	−0.629268	+	0.777188i	$0.716645\pi$
$398$	2.62531	+	18.2594i	0.131595	+	0.915261i
$399$	−2.04328	−	4.05156i	−0.102292	−	0.202832i
$400$	4.97883	−	3.19970i	0.248941	−	0.159985i
$401$	2.31770	−	2.94719i	0.115740	−	0.147176i	−0.724731	−	0.689032i	$-0.758036\pi$
$401$	2.31770	−	2.94719i	0.115740	−	0.147176i	0.840471	+	0.541856i	$0.182278\pi$
$402$	5.00249	−	0.477680i	0.249502	−	0.0238245i
$403$	−13.9622	+	1.33323i	−0.695507	+	0.0664129i
$404$	6.42214	−	8.16641i	0.319513	−	0.406294i
$405$	−2.77975	+	1.78643i	−0.138127	+	0.0887687i
$406$	0.459557	−	8.12500i	0.0228074	−	0.403237i
$407$	0.183324	+	1.27504i	0.00908701	+	0.0632016i
$408$	0.332145	+	1.72333i	0.0164436	+	0.0853177i
$409$	11.5264	+	0.549071i	0.569945	+	0.0271498i	0.330577	−	0.943779i	$-0.392757\pi$
$409$	11.5264	+	0.549071i	0.569945	+	0.0271498i	0.239368	+	0.970929i	$0.423060\pi$
$410$	−7.28730	+	37.8101i	−0.359894	+	1.86731i
$411$	−2.12055	+	8.74101i	−0.104599	+	0.431162i
$412$	−1.08626	−	2.37858i	−0.0535161	−	0.117184i
$413$	0.444350	−	1.46495i	0.0218650	−	0.0720856i
$414$	4.67155	+	1.08471i	0.229594	+	0.0533106i
$415$	5.46298	−	9.46215i	0.268167	−	0.464479i
$416$	−4.69122	−	3.34060i	−0.230006	−	0.163786i
$417$	−14.5167	−	13.8416i	−0.710885	−	0.677828i
$418$	−1.49947	+	0.518970i	−0.0733413	+	0.0253837i
$419$	−0.213350	−	0.137112i	−0.0104228	−	0.00669835i	0.535419	−	0.844587i	$-0.320154\pi$
$419$	−0.213350	−	0.137112i	−0.0104228	−	0.00669835i	−0.545842	+	0.837888i	$0.683790\pi$
$420$	7.98432	−	3.56077i	0.389595	−	0.173748i
$421$	−29.0143	+	4.17163i	−1.41407	+	0.203313i	−0.806633	−	0.591053i	$-0.798712\pi$
$421$	−29.0143	+	4.17163i	−1.41407	+	0.203313i	−0.607440	+	0.794366i	$0.707803\pi$
$422$	2.99736	−	2.85797i	0.145909	−	0.139124i
$423$	2.05062	−	3.97765i	0.0997045	−	0.193400i
$424$	2.28688	+	5.71235i	0.111061	+	0.277416i
$425$	6.02504	+	8.46098i	0.292257	+	0.410418i
$426$	−14.5313	−	6.63620i	−0.704042	−	0.321525i
$427$	6.53970	−	0.565775i	0.316478	−	0.0273798i
$428$	3.05722	+	4.75713i	0.147776	+	0.229944i
$429$	−3.67686	−	3.85617i	−0.177520	−	0.186178i
$430$	−2.48715	−	3.16267i	−0.119941	−	0.152517i
$431$	6.87339	+	2.37890i	0.331079	+	0.114588i	0.487550	−	0.873095i	$-0.337891\pi$
$431$	6.87339	+	2.37890i	0.331079	+	0.114588i	−0.156471	+	0.987683i	$0.550012\pi$
$432$	0.458227	+	0.888835i	0.0220464	+	0.0427641i
$433$	−14.1709	+	16.3541i	−0.681010	+	0.785928i	−0.986057	−	0.166410i	$-0.946783\pi$
$433$	−14.1709	+	16.3541i	−0.681010	+	0.785928i	0.305046	+	0.952338i	$0.401328\pi$
$434$	−5.55132	−	3.27128i	−0.266472	−	0.157026i
$435$	9.24511	−	4.22210i	0.443269	−	0.202434i
$436$	11.9679	+	6.90970i	0.573161	+	0.330915i
$437$	−8.12952	+	1.25068i	−0.388888	+	0.0598280i
$438$	1.24367	+	2.15411i	0.0594251	+	0.102927i
$439$	−2.78118	+	29.1259i	−0.132739	+	1.39010i	0.646279	+	0.763101i	$0.276324\pi$
$439$	−2.78118	+	29.1259i	−0.132739	+	1.39010i	−0.779018	+	0.627001i	$0.784282\pi$
$440$	−0.861270	−	2.93322i	−0.0410594	−	0.139836i
$441$	6.75049	−	1.85226i	0.321452	−	0.0882028i
$442$	5.46452	−	8.50296i	0.259921	−	0.404444i
$443$	20.6042	−	3.97114i	0.978936	−	0.188674i	0.325406	−	0.945575i	$-0.394499\pi$
$443$	20.6042	−	3.97114i	0.978936	−	0.188674i	0.653531	+	0.756900i	$0.273287\pi$
$444$	−1.09445	+	0.860686i	−0.0519403	+	0.0408463i
$445$	−9.36668	−	38.6100i	−0.444023	−	1.83029i
$446$	−9.21294	+	0.438867i	−0.436246	+	0.0207809i
$447$	2.54556	−	17.7047i	0.120401	−	0.837405i
$448$	−0.843053	−	2.50784i	−0.0398305	−	0.118484i
$449$	−14.5253	+	31.8059i	−0.685490	+	1.50101i	0.171230	+	0.985231i	$0.445226\pi$
$449$	−14.5253	+	31.8059i	−0.685490	+	1.50101i	−0.856720	+	0.515782i	$0.827502\pi$
$450$	4.65213	+	3.65848i	0.219304	+	0.172462i
$451$	9.58285	+	4.94030i	0.451239	+	0.232630i
$452$	1.87618	−	0.455156i	0.0882481	−	0.0214087i
$453$	−0.932747	+	2.32989i	−0.0438243	+	0.109468i
$454$	−13.1460	−	15.1713i	−0.616972	−	0.712024i
$455$	−47.4303	−	16.8900i	−2.22357	−	0.791816i
$456$	−1.29616	−	1.12313i	−0.0606982	−	0.0525953i
$457$	−35.9768	−	8.72788i	−1.68292	−	0.408273i	−0.723519	−	0.690304i	$-0.757477\pi$
$457$	−35.9768	−	8.72788i	−1.68292	−	0.408273i	−0.959405	+	0.282031i	$0.908992\pi$
$458$	−14.8046	+	20.7902i	−0.691776	+	0.971463i
$459$	−1.51992	+	0.877524i	−0.0709436	+	0.0409593i
$460$	−1.66160	−	15.7595i	−0.0774727	−	0.734789i
$461$		−	6.08330i		−	0.283328i	−0.989915	−	0.141664i	$-0.954755\pi$
$461$		−	6.08330i		−	0.283328i	0.989915	−	0.141664i	$-0.0452452\pi$
$462$	−0.326777	−	2.42587i	−0.0152030	−	0.112862i
$463$	8.44668	−	2.48017i	0.392551	−	0.115263i	−0.0794997	−	0.996835i	$-0.525332\pi$
$463$	8.44668	−	2.48017i	0.392551	−	0.115263i	0.472050	+	0.881572i	$0.343514\pi$
$464$	−1.00602	−	2.90670i	−0.0467032	−	0.134940i
$465$	0.382905	−	8.03817i	0.0177568	−	0.372761i
$466$	2.06154	−	5.95643i	0.0954991	−	0.275926i
$467$	3.57335	+	1.43055i	0.165355	+	0.0661981i	0.452863	−	0.891580i	$-0.350403\pi$
$467$	3.57335	+	1.43055i	0.165355	+	0.0661981i	−0.287508	+	0.957778i	$0.592827\pi$
$468$	1.62252	−	5.52581i	0.0750012	−	0.255431i
$469$	−3.63210	−	12.7898i	−0.167715	−	0.590579i
$470$	−14.6366	−	2.10442i	−0.675136	−	0.0970699i
$471$	10.1479	−	7.22630i	0.467591	−	0.332970i
$472$	−0.0550005	−	0.575991i	−0.00253160	−	0.0265121i
$473$	−1.04584	+	0.418693i	−0.0480880	+	0.0192515i
$474$	−0.474557	−	9.96217i	−0.0217971	−	0.457578i
$475$	−9.73918	−	2.85968i	−0.446864	−	0.131211i
$476$	4.32599	−	1.68735i	0.198282	−	0.0773395i
$477$	−4.65021	+	4.02943i	−0.212918	+	0.184495i
$478$	3.28701	−	1.69457i	0.150344	−	0.0775079i
$479$	22.4408	+	4.32510i	1.02534	+	0.197619i	0.674081	−	0.738658i	$-0.264540\pi$
$479$	22.4408	+	4.32510i	1.02534	+	0.197619i	0.351264	+	0.936277i	$0.385752\pi$
$480$	2.28022	−	2.39143i	0.104077	−	0.109153i
$481$	7.98229	+	0.762216i	0.363961	+	0.0347541i
$482$	24.1953			1.10207
$483$	0.591749	−	12.6748i	0.0269255	−	0.576722i
$484$	10.1441			0.461093
$485$	42.2789	+	4.03715i	1.91979	+	0.183317i
$486$	−0.690079	+	0.723734i	−0.0313026	+	0.0328292i
$487$	13.3235	+	2.56789i	0.603744	+	0.116362i	0.481958	−	0.876194i	$-0.339926\pi$
$487$	13.3235	+	2.56789i	0.603744	+	0.116362i	0.121786	+	0.992556i	$0.461138\pi$
$488$	2.20521	−	1.13686i	0.0998251	−	0.0514634i
$489$	9.87404	−	8.55590i	0.446520	−	0.386911i
$490$	−13.0792	−	19.0770i	−0.590859	−	0.861812i
$491$	33.4697	+	9.82760i	1.51047	+	0.443513i	0.929007	−	0.370061i	$-0.120663\pi$
$491$	33.4697	+	9.82760i	1.51047	+	0.443513i	0.581460	+	0.813575i	$0.302482\pi$
$492$	0.554487	+	11.6401i	0.0249982	+	0.524777i
$493$	5.01161	−	2.00635i	0.225711	−	0.0903612i
$494$	0.938889	+	9.83249i	0.0422426	+	0.442385i
$495$	2.49020	−	1.77326i	0.111926	−	0.0797022i
$496$	−2.41062	−	0.346594i	−0.108240	−	0.0155625i
$497$	−10.3297	+	40.9838i	−0.463349	+	1.83838i
$498$	0.931575	−	3.17265i	0.0417449	−	0.142170i
$499$	26.8122	+	10.7340i	1.20028	+	0.480520i	0.883703	−	0.468047i	$-0.155042\pi$
$499$	26.8122	+	10.7340i	1.20028	+	0.480520i	0.316577	+	0.948567i	$0.397467\pi$
$500$	0.992479	−	2.86758i	0.0443850	−	0.128242i
$501$	0.362481	−	7.60941i	0.0161944	−	0.339963i
$502$	1.26175	+	3.64557i	0.0563144	+	0.162710i
$503$	−42.2975	+	12.4197i	−1.88595	+	0.553766i	−0.890929	+	0.454142i	$0.849946\pi$
$503$	−42.2975	+	12.4197i	−1.88595	+	0.553766i	−0.995025	+	0.0996240i	$0.968236\pi$
$504$	2.09418	−	1.61692i	0.0932820	−	0.0720233i
$505$		−	34.3287i		−	1.52761i
$506$	−4.36486	−	0.796761i	−0.194042	−	0.0354204i
$507$	−17.4652	+	10.0836i	−0.775659	+	0.447827i
$508$	−8.56645	+	12.0299i	−0.380075	+	0.533740i
$509$	−7.86580	−	1.90822i	−0.348646	−	0.0845805i	0.0576121	−	0.998339i	$-0.481651\pi$
$509$	−7.86580	−	1.90822i	−0.348646	−	0.0845805i	−0.406258	+	0.913759i	$0.633166\pi$
$510$	4.38274	+	3.79766i	0.194071	+	0.168163i
$511$	5.01168	−	4.26514i	0.221704	−	0.188679i
$512$	−0.654861	−	0.755750i	−0.0289410	−	0.0333997i
$513$	0.637425	−	1.59221i	0.0281430	−	0.0702979i
$514$	−3.33538	+	0.809155i	−0.147117	+	0.0356903i
$515$	−7.67982	−	3.95922i	−0.338413	−	0.174464i
$516$	−0.957139	−	0.752703i	−0.0421357	−	0.0331359i
$517$	−1.71993	+	3.76612i	−0.0756424	+	0.165634i
$518$	2.76243	+	2.43705i	0.121374	+	0.107078i
$519$	3.63926	−	25.3116i	0.159746	−	1.11106i
$520$	−19.0082	+	0.905470i	−0.833563	+	0.0397075i
$521$	−3.65519	−	15.0669i	−0.160137	−	0.660093i	−0.994118	−	0.108301i	$-0.965459\pi$
$521$	−3.65519	−	15.0669i	−0.160137	−	0.660093i	0.833981	−	0.551793i	$-0.186056\pi$
$522$	2.41780	−	1.90138i	0.105824	−	0.0832210i
$523$	21.6320	−	4.16924i	0.945903	−	0.182308i	0.307099	−	0.951677i	$-0.400642\pi$
$523$	21.6320	−	4.16924i	0.945903	−	0.182308i	0.638804	+	0.769370i	$0.279429\pi$
$524$	8.36095	−	13.0099i	0.365250	−	0.568340i
$525$	7.29872	−	13.8534i	0.318542	−	0.604611i
$526$	−1.99458	−	6.79293i	−0.0869680	−	0.296186i
$527$	0.406294	−	4.25490i	0.0176984	−	0.185346i
$528$	−0.462587	−	0.801225i	−0.0201315	−	0.0348688i
$529$	−21.5167	−	8.12608i	−0.935507	−	0.353308i
$530$	17.6077	+	10.1658i	0.764831	+	0.441575i
$531$	0.526323	−	0.240364i	0.0228405	−	0.0104309i
$532$	−2.30371	+	3.90936i	−0.0998783	+	0.169492i
$533$	43.9493	−	50.7202i	1.90366	−	2.19694i
$534$	−5.50959	−	10.6871i	−0.238423	−	0.462477i
$535$	17.6575	+	6.11131i	0.763399	+	0.264215i
$536$	−3.10640	−	3.95011i	−0.134176	−	0.170619i
$537$	−13.0564	−	13.6932i	−0.563427	−	0.590905i
$538$	8.83341	+	13.7451i	0.380835	+	0.592591i
$539$	−6.15677	+	2.00889i	−0.265191	+	0.0865290i
$540$	3.00569	+	1.37265i	0.129344	+	0.0590696i
$541$	11.0711	+	15.5472i	0.475984	+	0.668427i	0.980848	−	0.194772i	$-0.0623968\pi$
$541$	11.0711	+	15.5472i	0.475984	+	0.668427i	−0.504864	+	0.863199i	$0.668457\pi$
$542$	5.37483	+	13.4257i	0.230869	+	0.576683i
$543$	9.94348	−	19.2877i	0.426716	−	0.827713i
$544$	1.27019	−	1.21112i	0.0544589	−	0.0519264i
$545$	45.1985	−	6.49857i	1.93609	−	0.278368i
$546$	−15.1546	−	1.58333i	−0.648558	−	0.0677602i
$547$	6.46933	+	4.15759i	0.276609	+	0.177766i	0.671589	−	0.740924i	$-0.265612\pi$
$547$	6.46933	+	4.15759i	0.276609	+	0.177766i	−0.394980	+	0.918690i	$0.629249\pi$
$548$	8.49986	−	2.94183i	0.363096	−	0.125669i
$549$	1.79559	+	1.71209i	0.0766339	+	0.0730703i
$550$	−4.46021	−	3.17610i	−0.190184	−	0.135429i
$551$	−2.63766	+	4.56856i	−0.112368	+	0.194627i
$552$	−1.61311	−	4.51640i	−0.0686587	−	0.192231i
$553$	−25.6979	+	5.99256i	−1.09278	+	0.254829i
$554$	−7.53990	−	16.5101i	−0.320340	−	0.701446i
$555$	−1.08465	+	4.47100i	−0.0460410	+	0.189783i
$556$	−3.79601	+	19.6956i	−0.160987	+	0.835278i
$557$	39.1794	+	1.86634i	1.66008	+	0.0790795i	0.856512	−	0.516128i	$-0.172627\pi$
$557$	39.1794	+	1.86634i	1.66008	+	0.0790795i	0.803572	+	0.595207i	$0.202930\pi$
$558$	−0.460903	−	2.39139i	−0.0195116	−	0.101236i
$559$	0.997993	+	6.94119i	0.0422106	+	0.293581i
$560$	−7.31216	−	4.79174i	−0.308995	−	0.202488i
$561$	1.36597	−	0.877853i	0.0576711	−	0.0370630i
$562$	19.9829	−	25.4103i	0.842928	−	1.07187i
$563$	15.8682	−	1.51523i	0.668766	−	0.0638594i	0.244850	−	0.969561i	$-0.421261\pi$
$563$	15.8682	−	1.51523i	0.668766	−	0.0638594i	0.423916	+	0.905702i	$0.360655\pi$
$564$	−4.45486	+	0.425387i	−0.187583	+	0.0179120i
$565$	3.94340	−	5.01444i	0.165900	−	0.210959i
$566$	24.1674	−	15.5314i	1.01583	−	0.652835i
$567$	2.21293	+	1.45016i	0.0929342	+	0.0609008i
$568$	2.27346	+	15.8123i	0.0953923	+	0.663468i
$569$	−1.98894	−	10.3196i	−0.0833806	−	0.432620i	−0.999497	−	0.0317077i	$-0.989905\pi$
$569$	−1.98894	−	10.3196i	−0.0833806	−	0.432620i	0.916117	−	0.400912i	$-0.131307\pi$
$570$	−5.66066	−	0.269650i	−0.237099	−	0.0112944i
$571$	−2.04929	+	10.6327i	−0.0857603	+	0.444967i	0.913512	+	0.406813i	$0.133360\pi$
$571$	−2.04929	+	10.6327i	−0.0857603	+	0.444967i	−0.999272	+	0.0381539i	$0.987852\pi$
$572$	−1.25616	+	5.17797i	−0.0525228	+	0.216502i
$573$	5.90222	+	12.9241i	0.246569	+	0.539910i
$574$	30.0262	−	7.00189i	1.25327	−	0.292253i
$575$	−19.7881	−	20.3481i	−0.825221	−	0.848576i
$576$	0.500000	−	0.866025i	0.0208333	−	0.0360844i
$577$	28.8163	+	20.5200i	1.19964	+	0.854259i	0.992281	−	0.124007i	$-0.0395745\pi$
$577$	28.8163	+	20.5200i	1.19964	+	0.854259i	0.207357	+	0.978265i	$0.433514\pi$
$578$	−10.0742	−	9.60576i	−0.419033	−	0.399547i
$579$	−9.92927	+	3.43655i	−0.412647	+	0.142818i
$580$	−8.55014	−	5.49484i	−0.355025	−	0.228161i
$581$	−8.70107	−	0.909072i	−0.360981	−	0.0377147i
$582$	12.7225	−	1.82922i	0.527366	−	0.0758238i
$583$	4.12000	−	3.92841i	0.170633	−	0.162698i
$584$	1.13977	−	2.21084i	0.0471640	−	0.0914854i
$585$	−7.07263	−	17.6666i	−0.292417	−	0.730423i
$586$	12.6059	+	17.7025i	0.520745	+	0.731284i
$587$	−7.30705	−	3.33702i	−0.301594	−	0.137733i	0.258870	−	0.965912i	$-0.416650\pi$
$587$	−7.30705	−	3.33702i	−0.301594	−	0.137733i	−0.560464	+	0.828179i	$0.689377\pi$
$588$	−5.20781	−	4.67747i	−0.214766	−	0.192896i
$589$	2.25819	+	3.51381i	0.0930471	+	0.144784i
$590$	−1.31936	−	1.38371i	−0.0543173	−	0.0569663i
$591$	−7.64032	−	9.71546i	−0.314281	−	0.399641i
$592$	1.31576	+	0.455389i	0.0540774	+	0.0187164i
$593$	−7.61369	−	14.7685i	−0.312657	−	0.606470i	0.679182	−	0.733970i	$-0.262335\pi$
$593$	−7.61369	−	14.7685i	−0.312657	−	0.606470i	−0.991839	+	0.127500i	$0.959305\pi$
$594$	0.605861	−	0.699200i	0.0248588	−	0.0286885i
$595$	7.78957	−	13.2188i	0.319341	−	0.541918i
$596$	−16.2704	+	7.43044i	−0.666461	+	0.304363i
$597$	15.9757	+	9.22358i	0.653843	+	0.377496i
$598$	−11.2257	+	25.2355i	−0.459051	+	1.03195i
$599$	18.2070	+	31.5355i	0.743918	+	1.28850i	0.950699	+	0.310117i	$0.100368\pi$
$599$	18.2070	+	31.5355i	0.743918	+	1.28850i	−0.206780	+	0.978387i	$0.566299\pi$
$600$	0.562574	−	5.89154i	0.0229670	−	0.240521i
$601$	−4.26428	−	14.5228i	−0.173944	−	0.592398i	−0.999602	−	0.0282266i	$-0.991014\pi$
$601$	−4.26428	−	14.5228i	−0.173944	−	0.592398i	0.825658	−	0.564171i	$-0.190804\pi$
$602$	−1.50165	+	2.85022i	−0.0612028	+	0.116166i
$603$	2.71685	−	4.22750i	0.110639	−	0.172157i
$604$	2.46431	−	0.474957i	0.100271	−	0.0193257i
$605$	26.3476	−	20.7200i	1.07118	−	0.842388i
$606$	−2.44933	−	10.0963i	−0.0994973	−	0.410133i
$607$	−46.1245	+	2.19718i	−1.87213	+	0.0891807i	−0.952672	−	0.303999i	$-0.901678\pi$
$607$	−46.1245	+	2.19718i	−1.87213	+	0.0891807i	−0.919462	+	0.393180i	$0.871375\pi$
$608$	−0.244079	+	1.69761i	−0.00989872	+	0.0688471i
$609$	−6.10260	−	5.38378i	−0.247290	−	0.218162i
$610$	3.40556	−	7.45714i	0.137887	−	0.301931i
$611$	20.2587	+	15.9316i	0.819577	+	0.644523i
$612$	1.55995	+	0.804210i	0.0630572	+	0.0325083i
$613$	15.1077	−	3.66509i	0.610195	−	0.148032i	0.0812582	−	0.996693i	$-0.474106\pi$
$613$	15.1077	−	3.66509i	0.610195	−	0.148032i	0.528936	+	0.848661i	$0.322591\pi$
$614$	−4.01553	+	10.0303i	−0.162054	+	0.404790i
$615$	25.2160	+	29.1009i	1.01681	+	1.17346i
$616$	−1.86410	+	1.58643i	−0.0751069	+	0.0639190i
$617$	−1.21941	−	1.05663i	−0.0490916	−	0.0425381i	0.629969	−	0.776620i	$-0.283067\pi$
$617$	−1.21941	−	1.05663i	−0.0490916	−	0.0425381i	−0.679061	+	0.734082i	$0.737613\pi$
$618$	−2.54117	−	0.616480i	−0.102221	−	0.0247985i
$619$	−9.66800	+	13.5768i	−0.388590	+	0.545698i	−0.961815	−	0.273700i	$-0.911752\pi$
$619$	−9.66800	+	13.5768i	−0.388590	+	0.545698i	0.573226	+	0.819398i	$0.305692\pi$
$620$	−6.96915	+	4.02364i	−0.279888	+	0.161593i
$621$	3.74040	−	3.00156i	0.150097	−	0.120449i
$622$		−	14.4994i		−	0.581372i
$623$	−25.1798	+	19.4414i	−1.00881	+	0.778904i
$624$	−5.52581	+	1.62252i	−0.221209	+	0.0649529i
$625$	6.39906	+	18.4889i	0.255962	+	0.739555i
$626$	−0.570010	+	11.9660i	−0.0227822	+	0.478257i
$627$	−0.518970	+	1.49947i	−0.0207257	+	0.0598829i
$628$	−11.5655	−	4.63014i	−0.461515	−	0.184763i
$629$	−0.688447	+	2.34464i	−0.0274502	+	0.0934867i
$630$	2.13662	−	8.47722i	0.0851250	−	0.337741i
$631$	−15.0972	−	2.17065i	−0.601011	−	0.0864123i	−0.164908	−	0.986309i	$-0.552733\pi$
$631$	−15.0972	−	2.17065i	−0.601011	−	0.0864123i	−0.436103	+	0.899897i	$0.643642\pi$
$632$	−8.12415	+	5.78518i	−0.323161	+	0.230122i
$633$	−0.393676	−	4.12276i	−0.0156472	−	0.163865i
$634$	−11.0801	+	4.43581i	−0.440048	+	0.176168i
$635$	2.32194	+	48.7435i	0.0921433	+	1.93433i
$636$	5.90386	+	1.73353i	0.234103	+	0.0687390i
$637$	3.11709	+	40.1929i	0.123504	+	1.59250i
$638$	−2.15065	+	1.86355i	−0.0851450	+	0.0737786i
$639$	−14.1990	+	7.32011i	−0.561705	+	0.289579i
$640$	−3.24458	−	0.625341i	−0.128253	−	0.0247188i
$641$	23.3115	−	24.4484i	0.920749	−	0.965654i	−0.0787627	−	0.996893i	$-0.525097\pi$
$641$	23.3115	−	24.4484i	0.920749	−	0.965654i	0.999512	+	0.0312394i	$0.00994542\pi$
$642$	5.62920	+	0.537524i	0.222167	+	0.0212144i
$643$	6.34444			0.250200			0.125100	−	0.992144i	$-0.460075\pi$
$643$	6.34444			0.250200			0.125100	+	0.992144i	$0.460075\pi$
$644$	−10.9826	+	6.35469i	−0.432776	+	0.250410i
$645$	−4.02348			−0.158424
$646$	−2.99639	−	0.286121i	−0.117892	−	0.0112573i
$647$	24.7710	−	25.9791i	0.973848	−	1.02134i	−0.0259172	−	0.999664i	$-0.508251\pi$
$647$	24.7710	−	25.9791i	0.973848	−	1.02134i	0.999765	−	0.0216781i	$-0.00690089\pi$
$648$	0.981929	+	0.189251i	0.0385738	+	0.00743449i
$649$	−0.475808	+	0.245296i	−0.0186771	+	0.00962872i
$650$	−25.7592	+	22.3205i	−1.01036	+	0.875480i
$651$	−6.00299	+	2.34146i	−0.235276	+	0.0917690i
$652$	−12.5360	−	3.68090i	−0.490947	−	0.144155i
$653$	−0.286256	−	6.00925i	−0.0112021	−	0.235160i	−0.997524	−	0.0703290i	$-0.977595\pi$
$653$	−0.286256	−	6.00925i	−0.0112021	−	0.235160i	0.986322	−	0.164831i	$-0.0527079\pi$
$654$	12.8295	−	5.13615i	0.501673	−	0.200839i
$655$	−4.85741	−	50.8691i	−0.189795	−	1.98762i
$656$	9.49251	−	6.75959i	0.370620	−	0.263918i
$657$	2.46203	+	0.353987i	0.0960530	+	0.0138103i
$658$	3.23448	+	11.3897i	0.126093	+	0.444016i
$659$	11.0755	−	37.7198i	0.431442	−	1.46936i	−0.401430	−	0.915890i	$-0.631487\pi$
$659$	11.0755	−	37.7198i	0.431442	−	1.46936i	0.832872	−	0.553466i	$-0.186695\pi$
$660$	−2.83806	−	1.13619i	−0.110472	−	0.0442261i
$661$	−2.81270	+	8.12675i	−0.109401	+	0.316094i	−0.986391	−	0.164414i	$-0.947427\pi$
$661$	−2.81270	+	8.12675i	−0.109401	+	0.316094i	0.876990	+	0.480508i	$0.159548\pi$
$662$	−0.0557159	+	1.16962i	−0.00216546	+	0.0454586i
$663$	−3.30583	−	9.55158i	−0.128388	−	0.370953i
$664$	−3.17265	+	0.931575i	−0.123123	+	0.0361521i
$665$	2.00164	+	14.8595i	0.0776204	+	0.576225i
$666$			1.39234i			0.0539520i
$667$	−12.7018	+	7.50112i	−0.491815	+	0.290444i
$668$	−6.59741	+	3.80902i	−0.255262	+	0.147375i
$669$	−5.35009	+	7.51315i	−0.206847	+	0.290475i
$670$	−16.1368	−	3.91475i	−0.623419	−	0.151240i
$671$	−1.73472	−	1.50315i	−0.0669682	−	0.0580283i
$672$	−2.49244	−	0.887560i	−0.0961478	−	0.0342384i
$673$	−3.88546	−	4.48407i	−0.149774	−	0.172848i	0.675905	−	0.736989i	$-0.263753\pi$
$673$	−3.88546	−	4.48407i	−0.149774	−	0.172848i	−0.825679	+	0.564141i	$0.809208\pi$
$674$	8.18430	−	20.4434i	0.315248	−	0.787450i
$675$	5.75151	−	1.39530i	0.221376	−	0.0537052i
$676$	17.9253	+	9.24111i	0.689433	+	0.355427i
$677$	0.534955	+	0.420693i	0.0205600	+	0.0161686i	0.628386	−	0.777902i	$-0.283716\pi$
$677$	0.534955	+	0.420693i	0.0205600	+	0.0161686i	−0.607826	+	0.794070i	$0.707958\pi$
$678$	0.802000	−	1.75614i	0.0308006	−	0.0674440i
$679$	−10.8361	−	32.2342i	−0.415850	−	1.23703i
$680$	0.825311	−	5.74016i	0.0316492	−	0.220125i
$681$	−20.0518	+	0.955183i	−0.768385	+	0.0366027i
$682$	0.531206	+	2.18966i	0.0203409	+	0.0838465i
$683$	−31.1027	+	24.4594i	−1.19011	+	0.935913i	−0.998958	−	0.0456474i	$-0.985465\pi$
$683$	−31.1027	+	24.4594i	−1.19011	+	0.935913i	−0.191153	+	0.981560i	$0.561223\pi$
$684$	−1.68407	+	0.324578i	−0.0643921	+	0.0124106i
$685$	16.0682	−	25.0026i	0.613934	−	0.955300i
$686$	−9.68506	+	15.7861i	−0.369777	+	0.602715i
$687$	7.19059	+	24.4889i	0.274338	+	0.934310i
$688$	−0.115745	+	1.21214i	−0.00441274	+	0.0462123i
$689$	−17.7182	−	30.6887i	−0.675008	−	1.16915i
$690$	−13.4149	−	8.43575i	−0.510697	−	0.321144i
$691$	12.7617	+	7.36797i	0.485478	+	0.280291i	0.722697	−	0.691165i	$-0.242902\pi$
$691$	12.7617	+	7.36797i	0.485478	+	0.280291i	−0.237218	+	0.971456i	$0.576236\pi$
$692$	−23.2610	+	10.6229i	−0.884250	+	0.403823i
$693$	−2.10886	−	1.24271i	−0.0801091	−	0.0472067i
$694$	5.48870	−	6.33430i	0.208348	−	0.240447i
$695$	30.3702	+	58.9099i	1.15201	+	2.23458i
$696$	−2.90670	−	1.00602i	−0.110178	−	0.0381330i
$697$	12.6427	+	16.0765i	0.478875	+	0.608940i
$698$	9.68946	+	10.1620i	0.366752	+	0.384638i
$699$	−3.40771	−	5.30250i	−0.128891	−	0.200559i
$700$	−15.6002	+	1.34963i	−0.589632	+	0.0510114i
$701$	−17.2323	−	7.86975i	−0.650857	−	0.297236i	0.0624921	−	0.998045i	$-0.480095\pi$
$701$	−17.2323	−	7.86975i	−0.650857	−	0.297236i	−0.713349	+	0.700809i	$0.752822\pi$
$702$	−3.34060	−	4.69122i	−0.126083	−	0.177059i
$703$	−0.887511	−	2.21690i	−0.0334731	−	0.0836118i
$704$	−0.423940	+	0.822328i	−0.0159778	+	0.0309927i
$705$	−10.7019	+	10.2043i	−0.403058	+	0.384315i
$706$	2.82504	−	0.406179i	0.106322	−	0.0152867i
$707$	−25.1038	+	11.1955i	−0.944124	+	0.421052i
$708$	−0.486759	−	0.312821i	−0.0182935	−	0.0117565i
$709$	−41.4341	+	14.3405i	−1.55609	+	0.538568i	−0.963678	−	0.267066i	$-0.913946\pi$
$709$	−41.4341	+	14.3405i	−1.55609	+	0.538568i	−0.592413	+	0.805634i	$0.701825\pi$
$710$	38.2028	+	36.4263i	1.43372	+	1.36705i
$711$	−8.12415	−	5.78518i	−0.304679	−	0.216961i
$712$	−6.01187	+	10.4129i	−0.225304	+	0.390238i
$713$	0.670603	+	11.6605i	0.0251143	+	0.436690i
$714$	1.34781	−	4.44351i	0.0504404	−	0.166294i
$715$	7.31372	+	16.0148i	0.273518	+	0.598920i
$716$	−4.46061	+	18.3869i	−0.166701	+	0.687150i
$717$	0.699872	−	3.63128i	0.0261372	−	0.135613i
$718$	31.4381	+	1.49758i	1.17326	+	0.0558892i
$719$	7.38287	+	38.3059i	0.275334	+	1.42857i	0.811448	+	0.584425i	$0.198680\pi$
$719$	7.38287	+	38.3059i	0.275334	+	1.42857i	−0.536113	+	0.844146i	$0.680108\pi$
$720$	−0.470250	−	3.27066i	−0.0175252	−	0.121890i
$721$	−0.390681	+	6.90727i	−0.0145497	+	0.257240i
$722$	−13.5093	+	8.68191i	−0.502765	+	0.323107i
$723$	14.9566	−	19.0188i	0.556240	−	0.707317i
$724$	−21.6017	+	2.06271i	−0.802820	+	0.0766600i
$725$	−18.1216	+	1.73040i	−0.673020	+	0.0642656i
$726$	6.27064	−	7.97376i	0.232725	−	0.295934i
$727$	19.5746	−	12.5798i	0.725982	−	0.466560i	−0.124731	−	0.992191i	$-0.539807\pi$
$727$	19.5746	−	12.5798i	0.725982	−	0.466560i	0.850713	+	0.525630i	$0.176170\pi$
$728$	6.86123	+	13.6049i	0.254294	+	0.504231i
$729$	0.142315	+	0.989821i	0.00527092	+	0.0366601i
$730$	−1.55544	−	8.07040i	−0.0575695	−	0.298699i
$731$	−2.13462	−	0.101684i	−0.0789517	−	0.00376093i
$732$	0.469534	−	2.43617i	0.0173545	−	0.0900435i
$733$	11.8687	−	48.9234i	0.438380	−	1.80703i	−0.138696	−	0.990335i	$-0.544291\pi$
$733$	11.8687	−	48.9234i	0.438380	−	1.80703i	0.577076	−	0.816691i	$-0.304194\pi$
$734$	−5.36157	−	11.7402i	−0.197899	−	0.433339i
$735$	−23.0806	−	1.51166i	−0.851340	−	0.0557584i
$736$	−2.92732	+	3.79879i	−0.107902	+	0.140025i
$737$	−2.32461	+	4.02635i	−0.0856283	+	0.148313i
$738$	9.49251	+	6.75959i	0.349424	+	0.248824i
$739$	16.9983	+	16.2078i	0.625292	+	0.596214i	0.935013	−	0.354613i	$-0.115387\pi$
$739$	16.9983	+	16.2078i	0.625292	+	0.596214i	−0.309722	+	0.950827i	$0.600236\pi$
$740$	4.34765	−	1.50474i	0.159823	−	0.0553152i
$741$	8.30924	+	5.34003i	0.305248	+	0.196171i
$742$	1.69165	−	16.1915i	0.0621026	−	0.594407i
$743$	25.6777	−	3.69190i	0.942025	−	0.135443i	0.345843	−	0.938292i	$-0.387593\pi$
$743$	25.6777	−	3.69190i	0.942025	−	0.135443i	0.596182	+	0.802850i	$0.296684\pi$
$744$	−1.76258	+	1.68062i	−0.0646195	+	0.0616146i
$745$	−27.0826	+	52.5330i	−0.992231	+	1.92466i
$746$	−6.27466	−	15.6733i	−0.229732	−	0.573842i
$747$	−1.91801	−	2.69347i	−0.0701764	−	0.0985490i
$748$	−1.47699	−	0.674520i	−0.0540042	−	0.0246629i
$749$	−1.28954	−	14.9055i	−0.0471186	−	0.544637i
$750$	−1.64056	−	2.55276i	−0.0599048	−	0.0932137i
$751$	−17.3920	−	18.2402i	−0.634641	−	0.665593i	0.325359	−	0.945590i	$-0.394515\pi$
$751$	−17.3920	−	18.2402i	−0.634641	−	0.665593i	−0.960001	+	0.279998i	$0.909666\pi$
$752$	2.76634	+	3.51768i	0.100878	+	0.128277i
$753$	3.64557	+	1.26175i	0.132852	+	0.0459806i
$754$	8.11712	+	15.7450i	0.295608	+	0.573400i
$755$	5.43054	−	6.26717i	0.197637	−	0.228086i
$756$	0.0235488	−	2.64565i	0.000856463	−	0.0962212i
$757$	26.0811	−	11.9108i	0.947933	−	0.432907i	0.119400	−	0.992846i	$-0.461903\pi$
$757$	26.0811	−	11.9108i	0.947933	−	0.432907i	0.828533	+	0.559940i	$0.189176\pi$
$758$	−23.1762	−	13.3808i	−0.841797	−	0.486012i
$759$	−3.32447	+	2.93848i	−0.120671	+	0.106660i
$760$	2.83354	+	4.90783i	0.102783	+	0.178026i
$761$	−4.28067	+	44.8292i	−0.155174	+	1.62506i	0.497531	+	0.867446i	$0.334240\pi$
$761$	−4.28067	+	44.8292i	−0.155174	+	1.62506i	−0.652705	+	0.757612i	$0.726366\pi$
$762$	4.16071	+	14.1701i	0.150727	+	0.513328i
$763$	−19.4927	−	30.9332i	−0.705684	−	1.11986i
$764$	7.68143	−	11.9525i	0.277904	−	0.432428i
$765$	5.69439	−	1.09750i	0.205881	−	0.0396804i
$766$	13.0446	−	10.2584i	0.471321	−	0.370651i
$767$	0.785613	+	3.23834i	0.0283669	+	0.116930i
$768$	−0.998867	+	0.0475819i	−0.0360435	+	0.00171696i
$769$	2.54950	−	17.7322i	0.0919374	−	0.639439i	−0.890795	−	0.454406i	$-0.849852\pi$
$769$	2.54950	−	17.7322i	0.0919374	−	0.639439i	0.982732	−	0.185033i	$-0.0592393\pi$
$770$	−1.60133	+	7.92808i	−0.0577078	+	0.285708i
$771$	−1.42576	+	3.12197i	−0.0513474	+	0.112435i
$772$	8.25918	+	6.49509i	0.297255	+	0.233764i
$773$	5.65560	+	2.91566i	0.203418	+	0.104869i	0.556925	−	0.830562i	$-0.311981\pi$
$773$	5.65560	+	2.91566i	0.203418	+	0.104869i	−0.353508	+	0.935432i	$0.615011\pi$
$774$	−1.18333	+	0.287072i	−0.0425339	+	0.0103186i
$775$	−5.35698	+	13.3811i	−0.192428	+	0.480663i
$776$	−8.41716	−	9.71392i	−0.302158	−	0.348709i
$777$	3.62327	−	0.664936i	0.129984	−	0.0238545i
$778$	0.00276646	+	0.00239715i	9.91824e−5	+	8.59420e-5i
$779$	−19.4228	−	4.71192i	−0.695895	−	0.168822i
$780$	−11.0383	+	15.5011i	−0.395235	+	0.555030i
$781$	12.7995	−	7.38977i	0.458001	−	0.264427i
$782$	−6.90396	−	4.81454i	−0.246885	−	0.172168i
$783$		−	3.07587i		−	0.109923i
$784$	−1.11938	+	6.90992i	−0.0399779	+	0.246783i
$785$	−39.4971	+	11.5974i	−1.40971	+	0.413929i
$786$	−5.05807	−	14.6143i	−0.180415	−	0.521276i
$787$	−0.195917	+	4.11280i	−0.00698369	+	0.146606i	0.992682	+	0.120756i	$0.0385320\pi$
$787$	−0.195917	+	4.11280i	−0.00698369	+	0.146606i	−0.999666	+	0.0258492i	$0.991771\pi$
$788$	−4.04249	+	11.6800i	−0.144008	+	0.416084i
$789$	−6.57257	−	2.63126i	−0.233990	−	0.0936753i
$790$	−9.28457	+	31.6203i	−0.330330	+	1.12500i
$791$	−4.95299	−	1.24836i	−0.176108	−	0.0443867i
$792$	−0.915758	−	0.131666i	−0.0325400	−	0.00467855i
$793$	−11.6389	+	8.28806i	−0.413311	+	0.294317i
$794$	−2.43965	−	25.5491i	−0.0865798	−	0.906705i
$795$	18.8753	−	7.55652i	0.669437	−	0.268002i
$796$	−0.877752	−	18.4263i	−0.0311111	−	0.653102i
$797$	−4.05446	−	1.19050i	−0.143616	−	0.0421696i	0.209134	−	0.977887i	$-0.432935\pi$
$797$	−4.05446	−	1.19050i	−0.143616	−	0.0421696i	−0.352751	+	0.935717i	$0.614754\pi$
$798$	1.64891	+	4.22744i	0.0583707	+	0.149650i
$799$	−5.93570	+	5.14331i	−0.209990	+	0.181957i
$800$	−5.26043	+	2.71194i	−0.185984	+	0.0958816i
$801$	−11.8064	−	2.27551i	−0.417160	−	0.0804011i
$802$	−2.58735	+	2.71353i	−0.0913625	+	0.0958182i
$803$	−2.29081	−	0.218746i	−0.0808410	−	0.00771938i
$804$	−5.02524			−0.177227
$805$	−15.5458	+	38.9382i	−0.547916	+	1.37239i
$806$	14.0257			0.494035
$807$	16.2648	+	1.55310i	0.572548	+	0.0546717i
$808$	−7.16932	+	7.51897i	−0.252216	+	0.264516i
$809$	52.2087	+	10.0624i	1.83556	+	0.353775i	0.985061	−	0.172205i	$-0.0550890\pi$
$809$	52.2087	+	10.0624i	1.83556	+	0.353775i	0.850497	+	0.525979i	$0.176301\pi$
$810$	2.93697	−	1.51411i	0.103195	−	0.0532005i
$811$	2.56535	−	2.22289i	0.0900817	−	0.0780562i	−0.608656	−	0.793434i	$-0.708291\pi$
$811$	2.56535	−	2.22289i	0.0900817	−	0.0780562i	0.698738	+	0.715378i	$0.253746\pi$
$812$	−1.22981	+	8.04452i	−0.0431577	+	0.282307i
$813$	13.8758	+	4.07430i	0.486646	+	0.142892i
$814$	−0.0612929	−	1.28670i	−0.00214831	−	0.0450987i
$815$	−40.0789	+	16.0452i	−1.40390	+	0.562037i
$816$	−0.166828	−	1.74710i	−0.00584015	−	0.0611608i
$817$	1.70112	−	1.21136i	0.0595147	−	0.0423802i
$818$	−11.4220	−	1.64224i	−0.399362	−	0.0574196i
$819$	−10.6126	+	10.9336i	−0.370833	+	0.382051i
$820$	10.8484	−	36.9462i	0.378842	−	1.29022i
$821$	30.2981	+	12.1295i	1.05741	+	0.423323i	0.834209	−	0.551449i	$-0.185925\pi$
$821$	30.2981	+	12.1295i	1.05741	+	0.423323i	0.223202	+	0.974772i	$0.428349\pi$
$822$	2.94183	−	8.49986i	0.102608	−	0.296467i
$823$	2.05474	−	43.1343i	0.0716238	−	1.50357i	−0.621878	−	0.783114i	$-0.713630\pi$
$823$	2.05474	−	43.1343i	0.0716238	−	1.50357i	0.693502	−	0.720455i	$-0.256067\pi$
$824$	0.855242	+	2.47106i	0.0297938	+	0.0860835i
$825$	−5.25371	+	1.54263i	−0.182911	+	0.0537074i
$826$	−0.581591	+	1.41608i	−0.0202361	+	0.0492718i
$827$			32.5485i			1.13182i	0.824466	+	0.565911i	$0.191476\pi$
$827$			32.5485i			1.13182i	−0.824466	+	0.565911i	$0.808524\pi$
$828$	−4.54729	−	1.52386i	−0.158029	−	0.0529577i
$829$	6.01745	−	3.47418i	0.208995	−	0.120663i	−0.391849	−	0.920029i	$-0.628165\pi$
$829$	6.01745	−	3.47418i	0.208995	−	0.120663i	0.600844	+	0.799366i	$0.294831\pi$
$830$	−6.33767	+	8.90002i	−0.219984	+	0.308924i
$831$	−17.6387	−	4.27909i	−0.611878	−	0.148440i
$832$	4.35243	+	3.77140i	0.150893	+	0.130750i
$833$	−12.2070	−	1.38531i	−0.422947	−	0.0479980i
$834$	13.1352	+	15.1589i	0.454835	+	0.524908i
$835$	−9.35557	+	23.3691i	−0.323763	+	0.808720i
$836$	1.54201	−	0.374087i	0.0533314	−	0.0129381i
$837$	−2.16467	−	1.11597i	−0.0748221	−	0.0385735i
$838$	0.199351	+	0.156771i	0.00688645	+	0.00541557i
$839$	−13.7496	+	30.1073i	−0.474687	+	1.03942i	0.509203	+	0.860647i	$0.329940\pi$
$839$	−13.7496	+	30.1073i	−0.474687	+	1.03942i	−0.983890	+	0.178774i	$0.942787\pi$
$840$	−8.28664	+	2.78569i	−0.285916	+	0.0961155i
$841$	2.78069	−	19.3402i	0.0958860	−	0.666902i
$842$	29.2795	−	1.39475i	1.00904	−	0.0480664i
$843$	−7.62126	−	31.4153i	−0.262490	−	1.08200i
$844$	−3.25545	+	2.56012i	−0.112057	+	0.0881228i
$845$	65.4338	−	12.6113i	2.25099	−	0.433843i
$846$	−2.41943	+	3.76471i	−0.0831818	+	0.129433i
$847$	−23.7447	−	12.5100i	−0.815878	−	0.429849i
$848$	−1.73353	−	5.90386i	−0.0595297	−	0.202740i
$849$	2.73076	−	28.5978i	0.0937193	−	0.981473i
$850$	−5.19349	−	8.99539i	−0.178135	−	0.308539i
$851$	0.885164	−	6.61848i	0.0303430	−	0.226879i
$852$	13.8346	+	7.98744i	0.473967	+	0.273645i
$853$	−6.34683	+	2.89850i	−0.217311	+	0.0992428i	−0.521096	−	0.853498i	$-0.674477\pi$
$853$	−6.34683	+	2.89850i	−0.217311	+	0.0992428i	0.303785	+	0.952741i	$0.401750\pi$
$854$	−6.56387	−	0.0584249i	−0.224611	−	0.00199926i
$855$	−3.71115	+	4.28289i	−0.126918	+	0.146472i
$856$	−2.59118	−	5.02620i	−0.0885648	−	0.171792i
$857$	−40.5213	−	14.0246i	−1.38418	−	0.479070i	−0.469387	−	0.882992i	$-0.655525\pi$
$857$	−40.5213	−	14.0246i	−1.38418	−	0.479070i	−0.914793	+	0.403923i	$0.867646\pi$
$858$	3.29365	+	4.18822i	0.112443	+	0.142984i
$859$	−28.7614	−	30.1641i	−0.981325	−	1.02918i	−0.999569	−	0.0293506i	$-0.990656\pi$
$859$	−28.7614	−	30.1641i	−0.981325	−	1.02918i	0.0182441	−	0.999834i	$-0.494192\pi$
$860$	2.17526	+	3.38476i	0.0741756	+	0.115420i
$861$	13.0571	−	27.9305i	0.444985	−	0.951868i
$862$	−6.61614	−	3.02149i	−0.225346	−	0.102912i
$863$	−5.45558	−	7.66129i	−0.185710	−	0.260794i	0.711216	−	0.702973i	$-0.248145\pi$
$863$	−5.45558	−	7.66129i	−0.185710	−	0.260794i	−0.896926	+	0.442180i	$0.854205\pi$
$864$	−0.371662	−	0.928368i	−0.0126442	−	0.0315837i
$865$	−38.7187	+	75.1038i	−1.31648	+	2.55361i
$866$	15.6613	−	14.9330i	0.532193	−	0.507445i
$867$	−13.7781	+	1.98099i	−0.467930	+	0.0672781i
$868$	5.21522	+	3.78415i	0.177016	+	0.128442i
$869$	7.76242	+	4.98860i	0.263322	+	0.169227i
$870$	−9.60458	+	3.32418i	−0.325626	+	0.112700i
$871$	20.9455	+	19.9715i	0.709710	+	0.676707i
$872$	−11.2569	−	8.01604i	−0.381208	−	0.271457i
$873$	6.42668	−	11.1313i	0.217510	−	0.376739i
$874$	8.21160	−	0.472253i	0.277761	−	0.0159742i
$875$	−5.85955	+	5.48834i	−0.198089	+	0.185540i
$876$	−1.03328	−	2.26257i	−0.0349114	−	0.0764452i
$877$	−3.32604	+	13.7101i	−0.112313	+	0.462959i	0.887684	+	0.460453i	$0.152313\pi$
$877$	−3.32604	+	13.7101i	−0.112313	+	0.462959i	−0.999997	+	0.00250601i	$0.999202\pi$
$878$	5.53718	−	28.7296i	0.186871	−	0.969578i
$879$	21.7076	+	1.03406i	0.732178	+	0.0348779i
$880$	0.578550	+	3.00180i	0.0195029	+	0.101191i
$881$	−4.22867	−	29.4110i	−0.142467	−	0.990882i	−0.928138	−	0.372237i	$-0.878591\pi$
$881$	−4.22867	−	29.4110i	−0.142467	−	0.990882i	0.785670	−	0.618645i	$-0.212318\pi$
$882$	−6.89599	+	1.20220i	−0.232200	+	0.0404801i
$883$	−20.1406	+	12.9436i	−0.677785	+	0.435586i	−0.833724	−	0.552181i	$-0.813796\pi$
$883$	−20.1406	+	12.9436i	−0.677785	+	0.435586i	0.155940	+	0.987767i	$0.450159\pi$
$884$	−6.24803	+	7.94502i	−0.210144	+	0.267220i
$885$	−1.90324	+	0.181738i	−0.0639768	+	0.00610904i
$886$	−20.8884	+	1.99460i	−0.701760	+	0.0670099i
$887$	−29.5152	+	37.5316i	−0.991022	+	1.26019i	−0.0255523	+	0.999673i	$0.508134\pi$
$887$	−29.5152	+	37.5316i	−0.991022	+	1.26019i	−0.965470	+	0.260514i	$0.916108\pi$
$888$	1.17131	−	0.752754i	0.0393065	−	0.0252608i
$889$	34.8877	−	17.5946i	1.17009	−	0.590103i
$890$	5.65416	+	39.3255i	0.189528	+	1.31819i
$891$	−0.175090	−	0.908456i	−0.00586575	−	0.0304344i
$892$	9.21294	+	0.438867i	0.308472	+	0.0146943i
$893$	1.45253	−	7.53643i	0.0486070	−	0.252197i
$894$	−4.21697	+	17.3826i	−0.141037	+	0.581361i
$895$	25.9709	+	56.8683i	0.868111	+	1.90090i
$896$	0.600850	+	2.57662i	0.0200730	+	0.0860789i
$897$	12.8972	+	24.4235i	0.430624	+	0.815476i
$898$	17.4828	−	30.2812i	0.583410	−	1.01050i
$899$	6.10198	+	4.34520i	0.203512	+	0.144920i
$900$	−4.28331	−	4.08412i	−0.142777	−	0.136137i
$901$	10.2051	−	3.53201i	0.339980	−	0.117668i
$902$	−9.06985	−	5.82884i	−0.301993	−	0.194079i
$903$	1.31217	+	2.94227i	0.0436662	+	0.0979126i
$904$	−1.91095	+	0.274753i	−0.0635572	+	0.00913815i
$905$	−51.8938	+	49.4807i	−1.72501	+	1.64479i
$906$	1.14999	−	2.23068i	0.0382060	−	0.0741093i
$907$	−0.460757	−	1.15092i	−0.0152992	−	0.0382155i	0.920522	−	0.390691i	$-0.127764\pi$
$907$	−0.460757	−	1.15092i	−0.0152992	−	0.0382155i	−0.935821	+	0.352476i	$0.885340\pi$
$908$	11.6443	+	16.3522i	0.386431	+	0.542667i
$909$	−9.45029	−	4.31580i	−0.313446	−	0.143146i
$910$	45.6101	+	21.3221i	1.51196	+	0.706820i
$911$	−30.3264	−	47.1888i	−1.00476	−	1.56343i	−0.813226	−	0.581948i	$-0.802291\pi$
$911$	−30.3264	−	47.1888i	−1.00476	−	1.56343i	−0.191532	−	0.981486i	$-0.561346\pi$
$912$	1.18353	+	1.24125i	0.0391906	+	0.0411019i
$913$	1.89106	+	2.40468i	0.0625849	+	0.0795832i
$914$	34.9843	+	12.1082i	1.15718	+	0.400503i
$915$	−3.75653	−	7.28665i	−0.124187	−	0.240889i
$916$	16.7138	−	19.2888i	0.552241	−	0.637320i
$917$	−35.6152	+	20.1419i	−1.17612	+	0.665145i
$918$	1.59645	−	0.729074i	0.0526906	−	0.0240630i
$919$	−4.72732	−	2.72932i	−0.155940	−	0.0900320i	0.419999	−	0.907524i	$-0.362030\pi$
$919$	−4.72732	−	2.72932i	−0.155940	−	0.0900320i	−0.575939	+	0.817492i	$0.695364\pi$
$920$	0.156047	+	15.8461i	0.00514471	+	0.522429i
$921$	5.40212	+	9.35674i	0.178006	+	0.308315i
$922$	−0.578255	+	6.05576i	−0.0190438	+	0.199436i
$923$	−25.9196	−	88.2741i	−0.853154	−	2.90558i
$924$	0.0947034	+	2.44595i	0.00311551	+	0.0804658i
$925$	4.45506	−	6.93220i	0.146481	−	0.227929i
$926$	−8.64419	+	1.66603i	−0.284066	+	0.0547492i
$927$	−2.05543	+	1.61641i	−0.0675092	+	0.0530898i
$928$	0.725164	+	2.98916i	0.0238047	+	0.0981241i
$929$	34.7173	−	1.65379i	1.13904	−	0.0542590i	0.530428	−	0.847730i	$-0.322031\pi$
$929$	34.7173	−	1.65379i	1.13904	−	0.0542590i	0.608608	+	0.793471i	$0.291728\pi$
$930$	−1.14525	+	7.96538i	−0.0375542	+	0.261195i
$931$	10.2136	−	6.30983i	0.334736	−	0.206796i
$932$	−2.61840	+	5.73350i	−0.0857686	+	0.187807i
$933$	−11.3973	−	8.96292i	−0.373130	−	0.293433i
$934$	−3.42118	−	1.76374i	−0.111945	−	0.0577114i
$935$	−5.21403	+	1.26491i	−0.170517	+	0.0413670i
$936$	−2.14044	+	5.34655i	−0.0699624	+	0.174758i
$937$	33.2554	+	38.3788i	1.08641	+	1.25378i	0.965301	+	0.261141i	$0.0840987\pi$
$937$	33.2554	+	38.3788i	1.08641	+	1.25378i	0.121106	+	0.992640i	$0.461356\pi$
$938$	2.39990	+	13.0772i	0.0783595	+	0.426984i
$939$	9.05355	+	7.84494i	0.295451	+	0.256010i
$940$	14.3703	+	3.48619i	0.468707	+	0.113707i
$941$	−23.7120	+	33.2989i	−0.772990	+	1.08551i	0.220918	+	0.975292i	$0.429095\pi$
$941$	−23.7120	+	33.2989i	−0.772990	+	1.08551i	−0.993907	+	0.110220i	$0.964845\pi$
$942$	−10.7889	+	6.22896i	−0.351520	+	0.202950i
$943$	−40.8254	−	38.1665i	−1.32946	−	1.24287i
$944$			0.578611i			0.0188322i
$945$	−5.34277	−	6.91977i	−0.173800	−	0.225100i
$946$	1.08091	−	0.317383i	0.0351434	−	0.0103190i
$947$	5.36615	+	15.5045i	0.174377	+	0.503828i	0.997993	−	0.0633186i	$-0.0201684\pi$
$947$	5.36615	+	15.5045i	0.174377	+	0.503828i	−0.823617	+	0.567147i	$0.808047\pi$
$948$	−0.474557	+	9.96217i	−0.0154129	+	0.323556i
$949$	−4.68520	+	13.5370i	−0.152088	+	0.439430i
$950$	9.42325	+	3.77250i	0.305731	+	0.122396i
$951$	−3.36249	+	11.4516i	−0.109036	+	0.371343i
$952$	−4.46680	+	1.26850i	−0.144770	+	0.0411122i
$953$	−25.3310	−	3.64205i	−0.820552	−	0.117978i	−0.280762	−	0.959777i	$-0.590587\pi$
$953$	−25.3310	−	3.64205i	−0.820552	−	0.117978i	−0.539790	+	0.841800i	$0.681496\pi$
$954$	5.01217	−	3.56915i	0.162275	−	0.115556i
$955$	−4.46264	−	46.7348i	−0.144408	−	1.51230i
$956$	−3.43321	+	1.37445i	−0.111038	+	0.0444528i
$957$	0.135405	+	2.84249i	0.00437701	+	0.0918848i
$958$	−21.9280	−	6.43865i	−0.708462	−	0.208023i
$959$	−23.5241	−	3.59624i	−0.759631	−	0.116129i
$960$	−2.49722	+	2.16385i	−0.0805973	+	0.0698380i
$961$	−22.2820	+	11.4872i	−0.718776	+	0.370555i
$962$	−7.87369	−	1.51753i	−0.253858	−	0.0489271i
$963$	3.90227	−	4.09258i	0.125749	−	0.131881i
$964$	−24.0858	−	2.29991i	−0.775750	−	0.0740752i
$965$	34.7187			1.11763
$966$	−1.79388	+	12.5611i	−0.0577172	+	0.404148i
$967$	26.7388			0.859863			0.429931	−	0.902862i	$-0.358538\pi$
$967$	26.7388			0.859863			0.429931	+	0.902862i	$0.358538\pi$
$968$	−10.0981	−	0.964253i	−0.324566	−	0.0309923i
$969$	−2.07715	+	2.17846i	−0.0667278	+	0.0699821i
$970$	−41.7037	−	8.03774i	−1.33903	−	0.258076i
$971$	0.487225	−	0.251182i	0.0156358	−	0.00806081i	−0.450391	−	0.892831i	$-0.648715\pi$
$971$	0.487225	−	0.251182i	0.0156358	−	0.00806081i	0.466027	+	0.884771i	$0.345685\pi$
$972$	0.755750	−	0.654861i	0.0242407	−	0.0210047i
$973$	33.1748	−	41.4211i	1.06354	−	1.32790i
$974$	−13.0190	−	3.82274i	−0.417157	−	0.122488i
$975$	1.62179	+	34.0457i	0.0519390	+	1.09033i
$976$	−2.30329	+	0.922098i	−0.0737265	+	0.0295156i
$977$	−2.39978	−	25.1317i	−0.0767759	−	0.804034i	−0.949073	−	0.315057i	$-0.897976\pi$
$977$	−2.39978	−	25.1317i	−0.0767759	−	0.804034i	0.872297	−	0.488977i	$-0.162630\pi$
$978$	−10.6426	+	7.57858i	−0.340313	+	0.242336i
$979$	11.0108	+	1.58312i	0.351908	+	0.0505967i
$980$	11.2066	+	20.2339i	0.357982	+	0.646348i
$981$	3.89337	−	13.2596i	0.124306	−	0.423347i
$982$	−32.3840	−	12.9646i	−1.03341	−	0.413717i
$983$	−8.09553	+	23.3905i	−0.258207	+	0.746041i	0.739160	+	0.673530i	$0.235223\pi$
$983$	−8.09553	+	23.3905i	−0.258207	+	0.746041i	−0.997368	+	0.0725116i	$0.976899\pi$
$984$	0.554487	−	11.6401i	0.0176764	−	0.371073i
$985$	13.3576	+	38.5942i	0.425608	+	1.22971i
$986$	−5.17963	+	1.52088i	−0.164953	+	0.0484346i
$987$	10.9523	+	4.49817i	0.348616	+	0.143178i
$988$		−	9.87722i		−	0.314236i
$989$	5.80746	−	0.612311i	0.184667	−	0.0194704i
$990$	−2.64748	+	1.52852i	−0.0841425	+	0.0485797i
$991$	−15.0550	+	21.1419i	−0.478239	+	0.671593i	−0.981262	−	0.192680i	$-0.938282\pi$
$991$	−15.0550	+	21.1419i	−0.478239	+	0.671593i	0.503022	+	0.864273i	$0.332221\pi$
$992$	2.36675	+	0.574168i	0.0751445	+	0.0182299i
$993$	0.884942	+	0.766807i	0.0280828	+	0.0243339i
$994$	14.1787	−	39.8163i	0.449720	−	1.26290i
$995$	−39.9169	−	46.0666i	−1.26545	−	1.46041i
$996$	−1.22894	+	3.06974i	−0.0389404	+	0.0972683i
$997$	−29.7936	+	7.22784i	−0.943572	+	0.228908i	−0.677899	−	0.735155i	$-0.737109\pi$
$997$	−29.7936	+	7.22784i	−0.943572	+	0.228908i	−0.265673	+	0.964063i	$0.585594\pi$
$998$	−25.6705	−	13.2341i	−0.812585	−	0.418917i
$999$	1.09445	+	0.860686i	0.0346269	+	0.0272309i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.b.19.8	✓	320
7.3	odd	6	inner	966.2.be.b.157.8	yes	320
23.17	odd	22	inner	966.2.be.b.523.8	yes	320
161.17	even	66	inner	966.2.be.b.661.8	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.b.19.8	✓	320	1.1	even	1	trivial
966.2.be.b.157.8	yes	320	7.3	odd	6	inner
966.2.be.b.523.8	yes	320	23.17	odd	22	inner
966.2.be.b.661.8	yes	320	161.17	even	66	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.be (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.995472 - 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(2.93697 - 1.51411i) q^{5} +(0.755750 - 0.654861i) q^{6} +(-2.06506 - 1.65394i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})\)	\(q+(-0.995472 - 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(2.93697 - 1.51411i) q^{5} +(0.755750 - 0.654861i) q^{6} +(-2.06506 - 1.65394i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(-3.06760 + 1.22808i) q^{10} +(0.0879435 + 0.920986i) q^{11} +(-0.814576 + 0.580057i) q^{12} +(5.70047 + 0.819604i) q^{13} +(1.89849 + 1.84275i) q^{14} +(-0.930927 + 3.17044i) q^{15} +(0.928368 + 0.371662i) q^{16} +(-0.574020 + 1.65852i) q^{17} +(-0.0475819 + 0.998867i) q^{18} +(-0.560943 - 1.62074i) q^{19} +(3.17044 - 0.930927i) q^{20} +(2.62207 - 0.353206i) q^{21} -0.925175i q^{22} +(0.861201 - 4.71787i) q^{23} +(0.866025 - 0.500000i) q^{24} +(3.43298 - 4.82094i) q^{25} +(-5.59675 - 1.35776i) q^{26} +(0.755750 + 0.654861i) q^{27} +(-1.71473 - 2.01487i) q^{28} +(-2.01427 - 2.32459i) q^{29} +(1.22808 - 3.06760i) q^{30} +(-2.36675 + 0.574168i) q^{31} +(-0.888835 - 0.458227i) q^{32} +(-0.727237 - 0.571905i) q^{33} +(0.729074 - 1.59645i) q^{34} +(-8.56928 - 1.73084i) q^{35} +(0.142315 - 0.989821i) q^{36} +(1.39076 - 0.0662501i) q^{37} +(0.404342 + 1.66672i) q^{38} +(-4.52695 + 3.56003i) q^{39} +(-3.24458 + 0.625341i) q^{40} +(6.30026 - 9.80339i) q^{41} +(-2.64377 + 0.102363i) q^{42} +(0.343052 + 1.16833i) q^{43} +(-0.0879435 + 0.920986i) q^{44} +(-1.65215 - 2.86160i) q^{45} +(-1.30576 + 4.61465i) q^{46} +(3.87557 + 2.23756i) q^{47} +(-0.909632 + 0.415415i) q^{48} +(1.52896 + 6.83098i) q^{49} +(-3.87569 + 4.47279i) q^{50} +(-0.804210 - 1.55995i) q^{51} +(5.44235 + 1.88361i) q^{52} +(-3.80360 - 4.83667i) q^{53} +(-0.690079 - 0.723734i) q^{54} +(1.65276 + 2.57175i) q^{55} +(1.51544 + 2.16874i) q^{56} +(1.56008 + 0.712464i) q^{57} +(1.78418 + 2.50553i) q^{58} +(0.215048 + 0.537164i) q^{59} +(-1.51411 + 2.93697i) q^{60} +(-1.79559 + 1.71209i) q^{61} +(2.41062 - 0.346594i) q^{62} +(-1.55381 + 2.14142i) q^{63} +(0.841254 + 0.540641i) q^{64} +(17.9831 - 6.22401i) q^{65} +(0.669581 + 0.638444i) q^{66} +(4.09344 + 2.91493i) q^{67} +(-0.877524 + 1.51992i) q^{68} +(2.82019 + 3.87899i) q^{69} +(8.36595 + 2.53756i) q^{70} +(-6.63620 - 14.5313i) q^{71} +(-0.235759 + 0.971812i) q^{72} +(-0.470734 + 2.44240i) q^{73} +(-1.39076 - 0.0662501i) q^{74} +(1.12005 + 5.81139i) q^{75} +(-0.244079 - 1.69761i) q^{76} +(1.34165 - 2.04735i) q^{77} +(4.84486 - 3.11360i) q^{78} +(6.16519 - 7.83968i) q^{79} +(3.28933 - 0.314093i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(-7.20360 + 9.16013i) q^{82} +(2.78168 - 1.78768i) q^{83} +(2.64153 + 0.149407i) q^{84} +(0.825311 + 5.74016i) q^{85} +(-0.230442 - 1.19565i) q^{86} +(3.07238 + 0.146356i) q^{87} +(0.175090 - 0.908456i) q^{88} +(2.83470 - 11.6848i) q^{89} +(1.37265 + 3.00569i) q^{90} +(-10.4162 - 11.1208i) q^{91} +(1.73850 - 4.46963i) q^{92} +(1.21770 - 2.10912i) q^{93} +(-3.64533 - 2.59582i) q^{94} +(-4.10146 - 3.91073i) q^{95} +(0.945001 - 0.327068i) q^{96} +(10.8129 + 6.94905i) q^{97} +(-0.872710 - 6.94539i) q^{98} +(0.915758 - 0.131666i) 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	\( 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9} + 22 q^{14} + 16 q^{16} - 66 q^{17} - 16 q^{18} + 36 q^{23} + 24 q^{25} + 12 q^{26} + 44 q^{28} + 8 q^{29} - 48 q^{31} + 16 q^{32} - 46 q^{35} + 32 q^{36} - 22 q^{37} + 66 q^{38} + 8 q^{39} + 176 q^{43} - 8 q^{46} + 120 q^{47} - 24 q^{49} - 48 q^{50} - 22 q^{51} - 12 q^{52} - 44 q^{53} + 44 q^{57} + 18 q^{58} + 12 q^{59} - 32 q^{64} - 108 q^{70} - 48 q^{71} - 16 q^{72} + 252 q^{73} + 22 q^{74} - 36 q^{75} - 42 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 12 q^{82} - 22 q^{84} - 76 q^{85} + 22 q^{86} + 24 q^{87} - 22 q^{88} + 16 q^{92} + 12 q^{94} + 26 q^{95} + 2 q^{98} + 88 q^{99}+O(q^{100}) \) 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 + 36 * q^23 + 24 * q^25 + 12 * q^26 + 44 * q^28 + 8 * q^29 - 48 * q^31 + 16 * q^32 - 46 * q^35 + 32 * q^36 - 22 * q^37 + 66 * q^38 + 8 * q^39 + 176 * q^43 - 8 * q^46 + 120 * q^47 - 24 * q^49 - 48 * q^50 - 22 * q^51 - 12 * q^52 - 44 * q^53 + 44 * q^57 + 18 * q^58 + 12 * q^59 - 32 * q^64 - 108 * q^70 - 48 * q^71 - 16 * q^72 + 252 * q^73 + 22 * q^74 - 36 * q^75 - 42 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 12 * q^82 - 22 * q^84 - 76 * q^85 + 22 * q^86 + 24 * q^87 - 22 * q^88 + 16 * q^92 + 12 * q^94 + 26 * q^95 + 2 * q^98 + 88 * q^99

Introduction

L-functions

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