LMFDB - Embedded newform 637.2.w.a.92.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(92,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("637.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.w (of order $7$, degree $6$, 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:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$162$
Relative dimension:	$27$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			92.6
Character	$\chi$	$=$	637.92
Dual form			637.2.w.a.547.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.27694 + 1.60123i) q^{2} +(1.03070 + 0.496360i) q^{3} +(-0.488322 - 2.13948i) q^{4} +(-0.0782783 - 0.0376968i) q^{5} +(-2.11093 + 1.01657i) q^{6} +(0.138811 - 2.64211i) q^{7} +(0.358894 + 0.172834i) q^{8} +(-1.05450 - 1.32230i) q^{9} +O(q^{10})$	\(q+(-1.27694 + 1.60123i) q^{2} +(1.03070 + 0.496360i) q^{3} +(-0.488322 - 2.13948i) q^{4} +(-0.0782783 - 0.0376968i) q^{5} +(-2.11093 + 1.01657i) q^{6} +(0.138811 - 2.64211i) q^{7} +(0.358894 + 0.172834i) q^{8} +(-1.05450 - 1.32230i) q^{9} +(0.160318 - 0.0772049i) q^{10} +(-3.33624 + 4.18351i) q^{11} +(0.558637 - 2.44755i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(4.05336 + 3.59607i) q^{14} +(-0.0619704 - 0.0777084i) q^{15} +(3.21932 - 1.55034i) q^{16} +(1.03482 - 4.53385i) q^{17} +3.46382 q^{18} -6.80810 q^{19} +(-0.0424265 + 0.185883i) q^{20} +(1.45451 - 2.65433i) q^{21} +(-2.43859 - 10.6842i) q^{22} +(-0.476361 - 2.08708i) q^{23} +(0.284125 + 0.356281i) q^{24} +(-3.11274 - 3.90326i) q^{25} +(-0.455733 - 1.99670i) q^{26} +(-1.19422 - 5.23223i) q^{27} +(-5.72051 + 0.993215i) q^{28} +(-0.684684 + 2.99980i) q^{29} +0.203561 q^{30} -0.570474 q^{31} +(-1.80569 + 7.91126i) q^{32} +(-5.51520 + 2.65598i) q^{33} +(5.93832 + 7.44642i) q^{34} +(-0.110465 + 0.201587i) q^{35} +(-2.31409 + 2.90178i) q^{36} +(2.15651 - 9.44829i) q^{37} +(8.69351 - 10.9013i) q^{38} +(-1.03070 + 0.496360i) q^{39} +(-0.0215783 - 0.0270583i) q^{40} +(0.881565 + 0.424539i) q^{41} +(2.39286 + 5.71841i) q^{42} +(-7.18931 + 3.46219i) q^{43} +(10.5797 + 5.09491i) q^{44} +(0.0326977 + 0.143258i) q^{45} +(3.95017 + 1.90230i) q^{46} +(2.04778 - 2.56783i) q^{47} +4.08769 q^{48} +(-6.96146 - 0.733510i) q^{49} +10.2248 q^{50} +(3.31701 - 4.15940i) q^{51} +(1.97717 + 0.952157i) q^{52} +(1.70178 + 7.45599i) q^{53} +(9.90295 + 4.76901i) q^{54} +(0.418860 - 0.201712i) q^{55} +(0.506465 - 0.924244i) q^{56} +(-7.01712 - 3.37927i) q^{57} +(-3.92906 - 4.92688i) q^{58} +(-3.59592 + 1.73170i) q^{59} +(-0.135994 + 0.170531i) q^{60} +(3.13936 - 13.7545i) q^{61} +(0.728460 - 0.913459i) q^{62} +(-3.64002 + 2.60254i) q^{63} +(-5.90630 - 7.40627i) q^{64} +(0.0782783 - 0.0376968i) q^{65} +(2.78973 - 12.2226i) q^{66} +1.15164 q^{67} -10.2054 q^{68} +(0.544954 - 2.38760i) q^{69} +(-0.181730 - 0.434293i) q^{70} +(0.927880 + 4.06531i) q^{71} +(-0.149914 - 0.656816i) q^{72} +(9.40225 + 11.7900i) q^{73} +(12.3751 + 15.5179i) q^{74} +(-1.27089 - 5.56813i) q^{75} +(3.32454 + 14.5658i) q^{76} +(10.5902 + 9.39543i) q^{77} +(0.521356 - 2.28421i) q^{78} +8.15101 q^{79} -0.310446 q^{80} +(0.237148 - 1.03901i) q^{81} +(-1.80549 + 0.869476i) q^{82} +(-0.807805 - 1.01296i) q^{83} +(-6.38914 - 1.81573i) q^{84} +(-0.251916 + 0.315892i) q^{85} +(3.63654 - 15.9327i) q^{86} +(-2.19468 + 2.75205i) q^{87} +(-1.92041 + 0.924820i) q^{88} +(-8.20868 - 10.2934i) q^{89} +(-0.271142 - 0.130575i) q^{90} +(1.97914 + 1.75585i) q^{91} +(-4.23263 + 2.03833i) q^{92} +(-0.587989 - 0.283161i) q^{93} +(1.49680 + 6.55792i) q^{94} +(0.532926 + 0.256644i) q^{95} +(-5.78797 + 7.25788i) q^{96} +1.57164 q^{97} +(10.0639 - 10.2102i) q^{98} +9.04989 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) $ 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$1$	$e\left(\frac{1}{7}\right)$

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 $

$2$	−1.27694	+	1.60123i	−0.902931	+	1.13224i	0.0877648	+	0.996141i	$0.472028\pi$
$2$	−1.27694	+	1.60123i	−0.902931	+	1.13224i	−0.990695	+	0.136098i	$0.956544\pi$
$3$	1.03070	+	0.496360i	0.595076	+	0.286574i	0.707079	−	0.707134i	$-0.250012\pi$
$3$	1.03070	+	0.496360i	0.595076	+	0.286574i	−0.112003	+	0.993708i	$0.535727\pi$
$4$	−0.488322	−	2.13948i	−0.244161	−	1.06974i
$5$	−0.0782783	−	0.0376968i	−0.0350071	−	0.0168585i	0.416298	−	0.909228i	$-0.363327\pi$
$5$	−0.0782783	−	0.0376968i	−0.0350071	−	0.0168585i	−0.451305	+	0.892370i	$0.649041\pi$
$6$	−2.11093	+	1.01657i	−0.861782	+	0.415012i
$7$	0.138811	−	2.64211i	0.0524658	−	0.998623i
$7$	0.138811	−	2.64211i	0.0524658	−	0.998623i
$8$	0.358894	+	0.172834i	0.126888	+	0.0611061i
$9$	−1.05450	−	1.32230i	−0.351499	−	0.440765i
$10$	0.160318	−	0.0772049i	0.0506969	−	0.0244143i
$11$	−3.33624	+	4.18351i	−1.00591	+	1.26138i	−0.0409045	+	0.999163i	$0.513024\pi$
$11$	−3.33624	+	4.18351i	−1.00591	+	1.26138i	−0.965010	+	0.262214i	$0.915547\pi$
$12$	0.558637	−	2.44755i	0.161265	−	0.706546i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$14$	4.05336	+	3.59607i	1.08331	+	0.961091i
$15$	−0.0619704	−	0.0777084i	−0.0160007	−	0.0200642i
$16$	3.21932	−	1.55034i	0.804830	−	0.387585i
$17$	1.03482	−	4.53385i	0.250981	−	1.09962i	−0.679614	−	0.733570i	$-0.737853\pi$
$17$	1.03482	−	4.53385i	0.250981	−	1.09962i	0.930595	−	0.366050i	$-0.119290\pi$
$18$	3.46382			0.816431
$19$	−6.80810			−1.56188			−0.780942	−	0.624603i	$-0.785261\pi$
$19$	−6.80810			−1.56188			−0.780942	+	0.624603i	$0.785261\pi$
$20$	−0.0424265	+	0.185883i	−0.00948686	+	0.0415647i
$21$	1.45451	−	2.65433i	0.317400	−	0.579221i
$22$	−2.43859	−	10.6842i	−0.519909	−	2.27787i
$23$	−0.476361	−	2.08708i	−0.0993282	−	0.435185i	−1.00000		0.000684722i	$-0.999782\pi$
$23$	−0.476361	−	2.08708i	−0.0993282	−	0.435185i	0.900672	−	0.434501i	$-0.143075\pi$
$24$	0.284125	+	0.356281i	0.0579967	+	0.0727255i
$25$	−3.11274	−	3.90326i	−0.622549	−	0.780651i
$26$	−0.455733	−	1.99670i	−0.0893767	−	0.391585i
$27$	−1.19422	−	5.23223i	−0.229828	−	1.00694i
$28$	−5.72051	+	0.993215i	−1.08108	+	0.187700i
$29$	−0.684684	+	2.99980i	−0.127143	+	0.557048i	0.870725	+	0.491771i	$0.163650\pi$
$29$	−0.684684	+	2.99980i	−0.127143	+	0.557048i	−0.997867	+	0.0652771i	$0.979207\pi$
$30$	0.203561			0.0371650
$31$	−0.570474			−0.102460			−0.0512301	−	0.998687i	$-0.516314\pi$
$31$	−0.570474			−0.102460			−0.0512301	+	0.998687i	$0.516314\pi$
$32$	−1.80569	+	7.91126i	−0.319205	+	1.39853i
$33$	−5.51520	+	2.65598i	−0.960073	+	0.462347i
$34$	5.93832	+	7.44642i	1.01841	+	1.27705i
$35$	−0.110465	+	0.201587i	−0.0186720	+	0.0340744i
$36$	−2.31409	+	2.90178i	−0.385682	+	0.483629i
$37$	2.15651	−	9.44829i	0.354528	−	1.55329i	−0.412064	−	0.911155i	$-0.635192\pi$
$37$	2.15651	−	9.44829i	0.354528	−	1.55329i	0.766592	−	0.642135i	$-0.221951\pi$
$38$	8.69351	−	10.9013i	1.41027	−	1.76843i
$39$	−1.03070	+	0.496360i	−0.165044	+	0.0794812i
$40$	−0.0215783	−	0.0270583i	−0.00341183	−	0.00427829i
$41$	0.881565	+	0.424539i	0.137677	+	0.0663019i	0.501454	−	0.865184i	$-0.332799\pi$
$41$	0.881565	+	0.424539i	0.137677	+	0.0663019i	−0.363777	+	0.931486i	$0.618513\pi$
$42$	2.39286	+	5.71841i	0.369227	+	0.882369i
$43$	−7.18931	+	3.46219i	−1.09636	+	0.527979i	−0.892512	−	0.451024i	$-0.851059\pi$
$43$	−7.18931	+	3.46219i	−1.09636	+	0.527979i	−0.203848	+	0.979003i	$0.565345\pi$
$44$	10.5797	+	5.09491i	1.59495	+	0.768087i
$45$	0.0326977	+	0.143258i	0.00487429	+	0.0213557i
$46$	3.95017	+	1.90230i	0.582420	+	0.280479i
$47$	2.04778	−	2.56783i	0.298699	−	0.374557i	−0.609720	−	0.792617i	$-0.708718\pi$
$47$	2.04778	−	2.56783i	0.298699	−	0.374557i	0.908420	+	0.418060i	$0.137290\pi$
$48$	4.08769			0.590007
$49$	−6.96146	−	0.733510i	−0.994495	−	0.104787i
$50$	10.2248			1.44600
$51$	3.31701	−	4.15940i	0.464475	−	0.582433i
$52$	1.97717	+	0.952157i	0.274185	+	0.132040i
$53$	1.70178	+	7.45599i	0.233758	+	1.02416i	0.946493	+	0.322725i	$0.104599\pi$
$53$	1.70178	+	7.45599i	0.233758	+	1.02416i	−0.712735	+	0.701433i	$0.752544\pi$
$54$	9.90295	+	4.76901i	1.34762	+	0.648980i
$55$	0.418860	−	0.201712i	0.0564791	−	0.0271989i
$56$	0.506465	−	0.924244i	0.0676792	−	0.123507i
$57$	−7.01712	−	3.37927i	−0.929440	−	0.447595i
$58$	−3.92906	−	4.92688i	−0.515911	−	0.646932i
$59$	−3.59592	+	1.73170i	−0.468149	+	0.225449i	−0.653059	−	0.757307i	$-0.726515\pi$
$59$	−3.59592	+	1.73170i	−0.468149	+	0.225449i	0.184910	+	0.982755i	$0.440800\pi$
$60$	−0.135994	+	0.170531i	−0.0175567	+	0.0220155i
$61$	3.13936	−	13.7545i	0.401954	−	1.76108i	−0.217515	−	0.976057i	$-0.569795\pi$
$61$	3.13936	−	13.7545i	0.401954	−	1.76108i	0.619470	−	0.785021i	$-0.287348\pi$
$62$	0.728460	−	0.913459i	0.0925145	−	0.116009i
$63$	−3.64002	+	2.60254i	−0.458600	+	0.327889i
$64$	−5.90630	−	7.40627i	−0.738288	−	0.925783i
$65$	0.0782783	−	0.0376968i	0.00970922	−	0.00467572i
$66$	2.78973	−	12.2226i	0.343392	−	1.50450i
$67$	1.15164			0.140696			0.0703478	−	0.997523i	$-0.477589\pi$
$67$	1.15164			0.140696			0.0703478	+	0.997523i	$0.477589\pi$
$68$	−10.2054			−1.23759
$69$	0.544954	−	2.38760i	0.0656048	−	0.287433i
$70$	−0.181730	−	0.434293i	−0.0217209	−	0.0519080i
$71$	0.927880	+	4.06531i	0.110119	+	0.482463i	0.999671	+	0.0256302i	$0.00815923\pi$
$71$	0.927880	+	4.06531i	0.110119	+	0.482463i	−0.889552	+	0.456833i	$0.848984\pi$
$72$	−0.149914	−	0.656816i	−0.0176675	−	0.0774066i
$73$	9.40225	+	11.7900i	1.10045	+	1.37992i	0.917941	+	0.396716i	$0.129850\pi$
$73$	9.40225	+	11.7900i	1.10045	+	1.37992i	0.182508	+	0.983204i	$0.441578\pi$
$74$	12.3751	+	15.5179i	1.43858	+	1.80392i
$75$	−1.27089	−	5.56813i	−0.146750	−	0.642953i
$76$	3.32454	+	14.5658i	0.381351	+	1.67081i
$77$	10.5902	+	9.39543i	1.20686	+	1.07071i
$78$	0.521356	−	2.28421i	0.0590319	−	0.258636i
$79$	8.15101			0.917060			0.458530	−	0.888679i	$-0.348376\pi$
$79$	8.15101			0.917060			0.458530	+	0.888679i	$0.348376\pi$
$80$	−0.310446			−0.0347089
$81$	0.237148	−	1.03901i	0.0263498	−	0.115446i
$82$	−1.80549	+	0.869476i	−0.199383	+	0.0960176i
$83$	−0.807805	−	1.01296i	−0.0886681	−	0.111186i	0.735518	−	0.677505i	$-0.236939\pi$
$83$	−0.807805	−	1.01296i	−0.0886681	−	0.111186i	−0.824187	+	0.566318i	$0.808367\pi$
$84$	−6.38914	−	1.81573i	−0.697112	−	0.198112i
$85$	−0.251916	+	0.315892i	−0.0273241	+	0.0342633i
$86$	3.63654	−	15.9327i	0.392138	−	1.71807i
$87$	−2.19468	+	2.75205i	−0.235295	+	0.295050i
$88$	−1.92041	+	0.924820i	−0.204716	+	0.0985862i
$89$	−8.20868	−	10.2934i	−0.870118	−	1.09109i	−0.995094	−	0.0989341i	$-0.968457\pi$
$89$	−8.20868	−	10.2934i	−0.870118	−	1.09109i	0.124976	−	0.992160i	$-0.460115\pi$
$90$	−0.271142	−	0.130575i	−0.0285809	−	0.0137638i
$91$	1.97914	+	1.75585i	0.207470	+	0.184064i
$92$	−4.23263	+	2.03833i	−0.441283	+	0.212510i
$93$	−0.587989	−	0.283161i	−0.0609716	−	0.0293624i
$94$	1.49680	+	6.55792i	0.154383	+	0.676398i
$95$	0.532926	+	0.256644i	0.0546771	+	0.0263311i
$96$	−5.78797	+	7.25788i	−0.590732	+	0.740754i
$97$	1.57164			0.159576			0.0797879	−	0.996812i	$-0.474576\pi$
$97$	1.57164			0.159576			0.0797879	+	0.996812i	$0.474576\pi$
$98$	10.0639	−	10.2102i	1.01660	−	1.03139i
$99$	9.04989			0.909549
$100$	−6.83091	+	8.56569i	−0.683091	+	0.856569i
$101$	5.85460	+	2.81943i	0.582555	+	0.280544i	0.701861	−	0.712314i	$-0.252353\pi$
$101$	5.85460	+	2.81943i	0.582555	+	0.280544i	−0.119306	+	0.992857i	$0.538067\pi$
$102$	2.42454	+	10.6226i	0.240065	+	1.05179i
$103$	−9.10384	−	4.38418i	−0.897028	−	0.431986i	−0.0722132	−	0.997389i	$-0.523006\pi$
$103$	−9.10384	−	4.38418i	−0.897028	−	0.431986i	−0.824814	+	0.565403i	$0.808720\pi$
$104$	−0.358894	+	0.172834i	−0.0351924	+	0.0169478i
$105$	−0.213916	+	0.152946i	−0.0208761	+	0.0149260i
$106$	−14.1118	−	6.79588i	−1.37066	−	0.660075i
$107$	7.03632	+	8.82327i	0.680227	+	0.852978i	0.995375	−	0.0960649i	$-0.0306256\pi$
$107$	7.03632	+	8.82327i	0.680227	+	0.852978i	−0.315148	+	0.949042i	$0.602054\pi$
$108$	−10.6111	+	5.11003i	−1.02105	+	0.491713i
$109$	−11.4594	+	14.3696i	−1.09761	+	1.37636i	−0.177762	+	0.984074i	$0.556886\pi$
$109$	−11.4594	+	14.3696i	−1.09761	+	1.37636i	−0.919845	+	0.392282i	$0.871686\pi$
$110$	−0.211870	+	0.928265i	−0.0202011	+	0.0885066i
$111$	6.91247	−	8.66797i	0.656103	−	0.822727i
$112$	−3.64929	−	8.72099i	−0.344826	−	0.824056i
$113$	−1.05078	−	1.31764i	−0.0988490	−	0.123953i	0.729947	−	0.683504i	$-0.239545\pi$
$113$	−1.05078	−	1.31764i	−0.0988490	−	0.123953i	−0.828796	+	0.559551i	$0.810973\pi$
$114$	14.3714	−	6.92090i	1.34600	−	0.648202i
$115$	−0.0413874	+	0.181330i	−0.00385939	+	0.0169091i
$116$	6.75234			0.626939
$117$	1.69128			0.156359
$118$	1.81891	−	7.96916i	0.167444	−	0.733621i
$119$	−11.8353	−	3.36346i	−1.08494	−	0.308328i
$120$	−0.00881012	−	0.0385996i	−0.000804250	−	0.00352365i
$121$	−3.92355	−	17.1902i	−0.356687	−	1.56275i
$122$	18.0153	+	22.5904i	1.63102	+	2.04524i
$123$	0.697906	+	0.875147i	0.0629281	+	0.0789093i
$124$	0.278575	+	1.22052i	0.0250168	+	0.109606i
$125$	0.193185	+	0.846401i	0.0172790	+	0.0757044i
$126$	0.480818	−	9.15179i	0.0428347	−	0.815306i
$127$	2.01226	−	8.81629i	0.178559	−	0.782320i	−0.803737	−	0.594985i	$-0.797158\pi$
$127$	2.01226	−	8.81629i	0.178559	−	0.782320i	0.982296	−	0.187335i	$-0.0599849\pi$
$128$	3.17167			0.280338
$129$	−9.12853			−0.803722
$130$	−0.0395952	+	0.173478i	−0.00347273	+	0.0152150i
$131$	−4.84090	+	2.33125i	−0.422951	+	0.203683i	−0.633238	−	0.773957i	$-0.718275\pi$
$131$	−4.84090	+	2.33125i	−0.422951	+	0.203683i	0.210287	+	0.977640i	$0.432560\pi$
$132$	8.37560	+	10.5027i	0.729003	+	0.914140i
$133$	−0.945042	+	17.9877i	−0.0819456	+	1.55973i
$134$	−1.47057	+	1.84404i	−0.127038	+	0.159301i
$135$	−0.103757	+	0.454589i	−0.00892997	+	0.0391248i
$136$	1.15499	−	1.44832i	0.0990399	−	0.124192i
$137$	−4.75097	+	2.28795i	−0.405903	+	0.195472i	−0.625684	−	0.780077i	$-0.715180\pi$
$137$	−4.75097	+	2.28795i	−0.405903	+	0.195472i	0.219781	+	0.975549i	$0.429466\pi$
$138$	3.12722	+	3.92141i	0.266207	+	0.333813i
$139$	5.26363	+	2.53483i	0.446455	+	0.215002i	0.643583	−	0.765376i	$-0.277447\pi$
$139$	5.26363	+	2.53483i	0.446455	+	0.215002i	−0.197128	+	0.980378i	$0.563161\pi$
$140$	0.485233	+	0.137898i	0.0410097	+	0.0116545i
$141$	3.38522	−	1.63023i	0.285087	−	0.137291i
$142$	−7.69433	−	3.70539i	−0.645694	−	0.310950i
$143$	−1.19069	−	5.21676i	−0.0995705	−	0.436247i
$144$	−5.44477	−	2.62206i	−0.453731	−	0.218505i
$145$	0.166679	−	0.209008i	0.0138419	−	0.0173572i
$146$	−30.8846			−2.55603
$147$	−6.81111	−	4.21142i	−0.561771	−	0.347352i
$148$	−21.2675			−1.74818
$149$	−1.50327	+	1.88505i	−0.123153	+	0.154429i	−0.839586	−	0.543227i	$-0.817202\pi$
$149$	−1.50327	+	1.88505i	−0.123153	+	0.154429i	0.716433	+	0.697656i	$0.245774\pi$
$150$	10.5387	+	5.07517i	0.860481	+	0.414386i
$151$	−3.73825	−	16.3784i	−0.304215	−	1.33285i	−0.863698	−	0.504010i	$-0.831857\pi$
$151$	−3.73825	−	16.3784i	−0.304215	−	1.33285i	0.559483	−	0.828842i	$-0.311000\pi$
$152$	−2.44338	−	1.17667i	−0.198185	−	0.0954407i
$153$	−7.08630	+	3.41258i	−0.572894	+	0.275891i
$154$	−28.5672	+	4.95993i	−2.30201	+	0.399683i
$155$	0.0446557	+	0.0215051i	0.00358684	+	0.00172733i
$156$	1.56527	+	1.96278i	0.125322	+	0.157148i
$157$	−8.07625	+	3.88931i	−0.644555	+	0.310401i	−0.727454	−	0.686157i	$-0.759296\pi$
$157$	−8.07625	+	3.88931i	−0.644555	+	0.310401i	0.0828991	+	0.996558i	$0.473582\pi$
$158$	−10.4083	+	13.0516i	−0.828042	+	1.03833i
$159$	−1.94682	+	8.52960i	−0.154393	+	0.676441i
$160$	0.439576	−	0.551211i	0.0347515	−	0.0435770i
$161$	−5.58040	+	0.968888i	−0.439797	+	0.0763590i
$162$	1.36087	+	1.70648i	0.106920	+	0.134074i
$163$	−15.4823	+	7.45586i	−1.21266	+	0.583988i	−0.927260	−	0.374419i	$-0.877842\pi$
$163$	−15.4823	+	7.45586i	−1.21266	+	0.583988i	−0.285405	+	0.958407i	$0.592128\pi$
$164$	0.477805	−	2.09340i	0.0373103	−	0.163467i
$165$	0.531842			0.0414039
$166$	2.65349			0.205951
$167$	−4.75004	+	20.8113i	−0.367569	+	1.61043i	0.365866	+	0.930667i	$0.380773\pi$
$167$	−4.75004	+	20.8113i	−0.367569	+	1.61043i	−0.733436	+	0.679759i	$0.762084\pi$
$168$	0.980772	−	0.701232i	0.0756682	−	0.0541012i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	−0.184135	−	0.806749i	−0.0141225	−	0.0618748i
$171$	7.17911	+	9.00232i	0.549000	+	0.688425i
$172$	10.9180	+	13.6907i	0.832488	+	1.04391i
$173$	0.178728	+	0.783060i	0.0135885	+	0.0595350i	0.981268	−	0.192650i	$-0.0617081\pi$
$173$	0.178728	+	0.783060i	0.0135885	+	0.0595350i	−0.967679	+	0.252185i	$0.918851\pi$
$174$	−1.60418	−	7.02838i	−0.121613	−	0.532820i
$175$	−10.7449	+	7.68238i	−0.812238	+	0.580734i
$176$	−4.25454	+	18.6404i	−0.320698	+	1.40507i
$177$	−4.56587			−0.343192
$178$	26.9640			2.02104
$179$	4.72815	−	20.7154i	0.353399	−	1.54834i	−0.415875	−	0.909422i	$-0.636525\pi$
$179$	4.72815	−	20.7154i	0.353399	−	1.54834i	0.769274	−	0.638919i	$-0.220618\pi$
$180$	0.290531	−	0.139912i	0.0216549	−	0.0104284i
$181$	−1.73351	−	2.17375i	−0.128851	−	0.161574i	0.713221	−	0.700939i	$-0.247236\pi$
$181$	−1.73351	−	2.17375i	−0.128851	−	0.161574i	−0.842072	+	0.539365i	$0.818664\pi$
$182$	−5.33875	+	0.926932i	−0.395735	+	0.0687088i
$183$	10.0629	−	12.6185i	0.743872	−	0.932786i
$184$	0.189755	−	0.831370i	0.0139889	−	0.0612894i
$185$	−0.524979	+	0.658302i	−0.0385972	+	0.0483993i
$186$	1.20423	−	0.579926i	0.0882984	−	0.0425223i
$187$	15.5150	+	19.4552i	1.13457	+	1.42270i
$188$	−6.49379	−	3.12725i	−0.473609	−	0.228078i
$189$	−13.9899	+	2.42897i	−1.01762	+	0.176682i
$190$	−1.09146	+	0.525618i	−0.0791827	+	0.0381324i
$191$	−22.8873	−	11.0220i	−1.65607	−	0.797521i	−0.999047	−	0.0436487i	$-0.986102\pi$
$191$	−22.8873	−	11.0220i	−1.65607	−	0.797521i	−0.657021	−	0.753872i	$-0.728184\pi$
$192$	−2.41146	−	10.5653i	−0.174032	−	0.762485i
$193$	−7.33362	−	3.53168i	−0.527885	−	0.254216i	0.150905	−	0.988548i	$-0.451781\pi$
$193$	−7.33362	−	3.53168i	−0.527885	−	0.254216i	−0.678790	+	0.734332i	$0.737496\pi$
$194$	−2.00688	+	2.51655i	−0.144086	+	0.180678i
$195$	0.0993928			0.00711766
$196$	1.83011	+	15.2521i	0.130722	+	1.08943i
$197$	−5.02760			−0.358202			−0.179101	−	0.983831i	$-0.557319\pi$
$197$	−5.02760			−0.358202			−0.179101	+	0.983831i	$0.557319\pi$
$198$	−11.5561	+	14.4909i	−0.821259	+	1.02983i
$199$	8.29680	+	3.99553i	0.588145	+	0.283236i	0.704194	−	0.710008i	$-0.251309\pi$
$199$	8.29680	+	3.99553i	0.588145	+	0.283236i	−0.116049	+	0.993243i	$0.537023\pi$
$200$	−0.442528	−	1.93884i	−0.0312915	−	0.137097i
$201$	1.18700	+	0.571629i	0.0837245	+	0.0403196i
$202$	−11.9905	+	5.77432i	−0.843649	+	0.406280i
$203$	7.83074	+	2.22541i	0.549610	+	0.156193i
$204$	−10.5187	−	5.06555i	−0.736458	−	0.354659i
$205$	−0.0530036	−	0.0664644i	−0.00370193	−	0.00464207i
$206$	18.6451	−	8.97900i	1.29906	−	0.625597i
$207$	−2.25741	+	2.83070i	−0.156901	+	0.196747i
$208$	−0.795106	+	3.48359i	−0.0551307	+	0.241543i
$209$	22.7135	−	28.4818i	1.57112	−	1.97013i
$210$	0.0282566	−	0.537830i	0.00194989	−	0.0371138i
$211$	1.15905	+	1.45341i	0.0797925	+	0.100057i	0.820125	−	0.572184i	$-0.193904\pi$
$211$	1.15905	+	1.45341i	0.0797925	+	0.100057i	−0.740333	+	0.672240i	$0.765332\pi$
$212$	15.1209	−	7.28184i	1.03851	−	0.500119i
$213$	−1.06149	+	4.65068i	−0.0727320	+	0.318660i
$214$	−23.1130			−1.57997
$215$	0.693280			0.0472813
$216$	0.475709	−	2.08422i	0.0323679	−	0.141813i
$217$	−0.0791884	+	1.50725i	−0.00537566	+	0.102319i
$218$	−8.37609	−	36.6981i	−0.567301	−	2.48551i
$219$	3.83881	+	16.8189i	0.259403	+	1.13652i
$220$	−0.636098	−	0.797642i	−0.0428857	−	0.0537770i
$221$	2.89950	+	3.63586i	0.195042	+	0.244575i
$222$	5.05260	+	22.1369i	0.339108	+	1.48573i
$223$	−4.22343	−	18.5041i	−0.282822	−	1.23912i	−0.894157	−	0.447753i	$-0.852225\pi$
$223$	−4.22343	−	18.5041i	−0.282822	−	1.23912i	0.611335	−	0.791372i	$-0.290633\pi$
$224$	20.6517	+	5.86901i	1.37985	+	0.392140i
$225$	−1.87888	+	8.23193i	−0.125259	+	0.548796i
$226$	3.45162			0.229598
$227$	23.6594			1.57033			0.785164	−	0.619289i	$-0.212579\pi$
$227$	23.6594			1.57033			0.785164	+	0.619289i	$0.212579\pi$
$228$	−3.80325	+	16.6631i	−0.251877	+	1.10354i
$229$	14.0204	−	6.75185i	0.926491	−	0.446174i	0.0911068	−	0.995841i	$-0.470960\pi$
$229$	14.0204	−	6.75185i	0.926491	−	0.446174i	0.835384	+	0.549667i	$0.185245\pi$
$230$	−0.237502	−	0.297817i	−0.0156604	−	0.0196375i
$231$	6.25181	+	14.9404i	0.411339	+	0.983008i
$232$	−0.764196	+	0.958271i	−0.0501719	+	0.0629136i
$233$	6.09464	−	26.7024i	0.399273	−	1.74933i	−0.230996	−	0.972955i	$-0.574199\pi$
$233$	6.09464	−	26.7024i	0.399273	−	1.74933i	0.630270	−	0.776376i	$-0.282944\pi$
$234$	−2.15966	+	2.70812i	−0.141181	+	0.177036i
$235$	−0.257096	+	0.123811i	−0.0167711	+	0.00807652i
$236$	5.46091	+	6.84776i	0.355475	+	0.445751i
$237$	8.40126	+	4.04583i	0.545721	+	0.262805i
$238$	20.4985	−	14.6560i	1.32872	−	0.950010i
$239$	−1.46182	+	0.703975i	−0.0945573	+	0.0455364i	−0.480565	−	0.876959i	$-0.659568\pi$
$239$	−1.46182	+	0.703975i	−0.0945573	+	0.0455364i	0.386007	+	0.922496i	$0.373854\pi$
$240$	−0.319977	−	0.154093i	−0.0206544	−	0.00994665i
$241$	−4.86883	−	21.3317i	−0.313629	−	1.37410i	−0.848514	−	0.529172i	$-0.822502\pi$
$241$	−4.86883	−	21.3317i	−0.313629	−	1.37410i	0.534886	−	0.844924i	$-0.320355\pi$
$242$	32.5356	+	15.6683i	2.09147	+	1.00720i
$243$	−9.27827	+	11.6346i	−0.595201	+	0.746359i
$244$	−30.9604			−1.98203
$245$	0.517280	+	0.319843i	0.0330478	+	0.0204340i
$246$	−2.29249			−0.146164
$247$	4.24478	−	5.32279i	0.270089	−	0.338681i
$248$	−0.204740	−	0.0985974i	−0.0130010	−	0.00626094i
$249$	−0.329816	−	1.44502i	−0.0209012	−	0.0915742i
$250$	−1.60197	−	0.771466i	−0.101317	−	0.0487918i
$251$	9.83652	−	4.73702i	0.620876	−	0.298998i	−0.0968768	−	0.995296i	$-0.530885\pi$
$251$	9.83652	−	4.73702i	0.620876	−	0.298998i	0.717752	+	0.696298i	$0.245171\pi$
$252$	7.34558	+	6.51687i	0.462728	+	0.410524i
$253$	10.3206	+	4.97012i	0.648848	+	0.312469i
$254$	11.5474	+	14.4799i	0.724546	+	0.908552i
$255$	−0.416446	+	0.200550i	−0.0260789	+	0.0125589i
$256$	7.76258	−	9.73397i	0.485161	−	0.608373i
$257$	−6.42097	+	28.1321i	−0.400529	+	1.75483i	0.224735	+	0.974420i	$0.427848\pi$
$257$	−6.42097	+	28.1321i	−0.400529	+	1.75483i	−0.625264	+	0.780413i	$0.715009\pi$
$258$	11.6566	−	14.6169i	0.725706	−	0.910006i
$259$	−24.6641	−	7.00926i	−1.53255	−	0.435535i
$260$	−0.118877	−	0.149066i	−0.00737241	−	0.00924471i
$261$	4.68861	−	2.25792i	0.290218	−	0.139762i
$262$	2.44865	−	10.7282i	0.151278	−	0.662793i
$263$	1.86583			0.115052			0.0575259	−	0.998344i	$-0.481679\pi$
$263$	1.86583			0.115052			0.0575259	+	0.998344i	$0.481679\pi$
$264$	−2.43841			−0.150074
$265$	0.147855	−	0.647793i	0.00908264	−	0.0397936i
$266$	−27.5957	−	24.4824i	−1.69200	−	1.50111i
$267$	−3.35149	−	14.6838i	−0.205108	−	0.898637i
$268$	−0.562372	−	2.46391i	−0.0343523	−	0.150507i
$269$	−0.949306	−	1.19039i	−0.0578802	−	0.0725795i	0.752049	−	0.659108i	$-0.229066\pi$
$269$	−0.949306	−	1.19039i	−0.0578802	−	0.0725795i	−0.809929	+	0.586528i	$0.800494\pi$
$270$	−0.595409	−	0.746619i	−0.0362354	−	0.0454378i
$271$	4.67836	+	20.4972i	0.284190	+	1.24512i	0.892365	+	0.451315i	$0.149045\pi$
$271$	4.67836	+	20.4972i	0.284190	+	1.24512i	−0.608175	+	0.793803i	$0.708098\pi$
$272$	−3.69760	−	16.2002i	−0.224200	−	0.982283i
$273$	1.16836	+	2.79213i	0.0707126	+	0.168987i
$274$	2.40316	−	10.5289i	0.145180	−	0.636077i
$275$	26.7142			1.61093
$276$	−5.37433			−0.323497
$277$	−0.188409	+	0.825474i	−0.0113204	+	0.0495979i	−0.980273	−	0.197650i	$-0.936669\pi$
$277$	−0.188409	+	0.825474i	−0.0113204	+	0.0495979i	0.968952	+	0.247248i	$0.0795262\pi$
$278$	−10.7802	+	5.19145i	−0.646551	+	0.311363i
$279$	0.601563	+	0.754336i	0.0360146	+	0.0451609i
$280$	−0.0744863	+	0.0532561i	−0.00445141	+	0.00318266i
$281$	16.8745	−	21.1600i	1.00665	−	1.26230i	0.0419025	−	0.999122i	$-0.486658\pi$
$281$	16.8745	−	21.1600i	1.00665	−	1.26230i	0.964747	−	0.263177i	$-0.0847705\pi$
$282$	−1.71233	+	7.50221i	−0.101968	+	0.446750i
$283$	−3.49702	+	4.38513i	−0.207876	+	0.260669i	−0.874830	−	0.484431i	$-0.839027\pi$
$283$	−3.49702	+	4.38513i	−0.207876	+	0.260669i	0.666953	+	0.745100i	$0.267598\pi$
$284$	8.24453	−	3.97036i	0.489223	−	0.235597i
$285$	0.421900	+	0.529046i	0.0249912	+	0.0313380i
$286$	9.87365	+	4.75490i	0.583841	+	0.281163i
$287$	1.24405	−	2.27026i	0.0734339	−	0.134009i
$288$	12.3651	−	5.95473i	0.728622	−	0.350886i
$289$	−4.16844	−	2.00742i	−0.245203	−	0.118083i
$290$	0.121832	+	0.533781i	0.00715422	+	0.0313447i
$291$	1.61989	+	0.780099i	0.0949598	+	0.0457302i
$292$	20.6332	−	25.8732i	1.20747	−	1.51412i
$293$	10.7504			0.628046			0.314023	−	0.949415i	$-0.398323\pi$
$293$	10.7504			0.628046			0.314023	+	0.949415i	$0.398323\pi$
$294$	15.4408	−	5.52842i	0.900526	−	0.322424i
$295$	0.346762			0.0201893
$296$	2.40694	−	3.01821i	0.139901	−	0.175430i
$297$	25.8733	+	12.4599i	1.50132	+	0.722999i
$298$	−1.09880	−	4.81417i	−0.0636520	−	0.278877i
$299$	1.92875	+	0.928836i	0.111542	+	0.0537160i
$300$	−11.2923	+	5.43808i	−0.651961	+	0.313968i
$301$	8.14952	+	19.4755i	0.469730	+	1.12255i
$302$	30.9990	+	14.9283i	1.78379	+	0.859029i
$303$	4.63490	+	5.81198i	0.266268	+	0.333890i
$304$	−21.9174	+	10.5549i	−1.25705	+	0.605364i
$305$	−0.764243	+	0.958331i	−0.0437604	+	0.0548739i
$306$	3.58444	−	15.7044i	0.204909	−	0.897763i
$307$	−16.3470	+	20.4984i	−0.932970	+	1.16991i	0.0522536	+	0.998634i	$0.483360\pi$
$307$	−16.3470	+	20.4984i	−0.932970	+	1.16991i	−0.985224	+	0.171273i	$0.945212\pi$
$308$	14.9299	−	27.2455i	0.850709	−	1.55245i
$309$	−7.20721	−	9.03756i	−0.410004	−	0.514129i
$310$	−0.0914571	+	0.0440434i	−0.00519441	+	0.00250150i
$311$	−4.05666	+	17.7734i	−0.230032	+	1.00784i	0.719581	+	0.694409i	$0.244334\pi$
$311$	−4.05666	+	17.7734i	−0.230032	+	1.00784i	−0.949612	+	0.313427i	$0.898523\pi$
$312$	−0.455700			−0.0257990
$313$	−0.244813			−0.0138377			−0.00691883	−	0.999976i	$-0.502202\pi$
$313$	−0.244813			−0.0138377			−0.00691883	+	0.999976i	$0.502202\pi$
$314$	4.08517	−	17.8983i	0.230540	−	1.01006i
$315$	0.383042	−	0.0665051i	0.0215820	−	0.00374714i
$316$	−3.98031	−	17.4389i	−0.223910	−	0.981015i
$317$	−7.25461	−	31.7845i	−0.407459	−	1.78520i	−0.595844	−	0.803100i	$-0.703182\pi$
$317$	−7.25461	−	31.7845i	−0.407459	−	1.78520i	0.188384	−	0.982095i	$-0.439675\pi$
$318$	−11.1719	−	14.0091i	−0.626487	−	0.785589i
$319$	−10.2654	−	12.8724i	−0.574753	−	0.720717i
$320$	0.183142	+	0.802398i	0.0102380	+	0.0448554i
$321$	2.87283	+	12.5867i	0.160346	+	0.702522i
$322$	5.57441	−	10.1727i	0.310650	−	0.566903i
$323$	−7.04516	+	30.8669i	−0.392003	+	1.71748i
$324$	−2.33875			−0.129931
$325$	4.99245			0.276931
$326$	7.83133	−	34.3113i	0.433737	−	1.90033i
$327$	−18.9437	+	9.12279i	−1.04759	+	0.504491i
$328$	0.243013	+	0.304729i	0.0134182	+	0.0168258i
$329$	−6.50023	−	5.76689i	−0.358369	−	0.317939i
$330$	−0.679129	+	0.851601i	−0.0373848	+	0.0468791i
$331$	5.06449	−	22.1890i	0.278370	−	1.21962i	−0.621484	−	0.783427i	$-0.713470\pi$
$331$	5.06449	−	22.1890i	0.278370	−	1.21962i	0.899854	−	0.436191i	$-0.143673\pi$
$332$	−1.77273	+	2.22293i	−0.0972910	+	0.121999i
$333$	−14.7675	+	7.11164i	−0.809252	+	0.389715i
$334$	−27.2581	−	34.1806i	−1.49150	−	1.87028i
$335$	−0.0901486	−	0.0434133i	−0.00492534	−	0.00237192i
$336$	0.567418	−	10.8001i	0.0309552	−	0.589194i
$337$	11.4564	−	5.51713i	0.624072	−	0.300537i	−0.0949953	−	0.995478i	$-0.530284\pi$
$337$	11.4564	−	5.51713i	0.624072	−	0.300537i	0.719067	+	0.694941i	$0.244569\pi$
$338$	1.84523	+	0.888614i	0.100367	+	0.0483343i
$339$	−0.429019	−	1.87966i	−0.0233011	−	0.102089i
$340$	0.798860	+	0.384711i	0.0433243	+	0.0208639i
$341$	1.90324	−	2.38659i	0.103066	−	0.129241i
$342$	−23.5820			−1.27517
$343$	−2.90434	+	18.2911i	−0.156820	+	0.987627i
$344$	−3.17858			−0.171378
$345$	−0.132663	+	0.166354i	−0.00714233	+	0.00895620i
$346$	−1.48208	−	0.713734i	−0.0796773	−	0.0383706i
$347$	0.551760	+	2.41742i	0.0296200	+	0.129774i	0.987576	−	0.157141i	$-0.0502276\pi$
$347$	0.551760	+	2.41742i	0.0296200	+	0.129774i	−0.957956	+	0.286914i	$0.907370\pi$
$348$	6.95965	+	3.35159i	0.373077	+	0.179664i
$349$	−25.3814	+	12.2230i	−1.35863	+	0.654283i	−0.964331	−	0.264698i	$-0.914728\pi$
$349$	−25.3814	+	12.2230i	−1.35863	+	0.654283i	−0.394301	+	0.918981i	$0.629013\pi$
$350$	1.41932	−	27.0150i	0.0758657	−	1.44401i
$351$	4.83531	+	2.32856i	0.258090	+	0.124290i
$352$	−27.0726	−	33.9480i	−1.44298	−	1.80944i
$353$	17.4139	−	8.38609i	0.926849	−	0.446347i	0.0913373	−	0.995820i	$-0.470886\pi$
$353$	17.4139	−	8.38609i	0.926849	−	0.446347i	0.835511	+	0.549473i	$0.185172\pi$
$354$	5.83033	−	7.31100i	0.309878	−	0.388575i
$355$	0.0806164	−	0.353203i	0.00427867	−	0.0187461i
$356$	−18.0139	+	22.5888i	−0.954737	+	1.19720i
$357$	−10.5291	−	9.34128i	−0.557262	−	0.494393i
$358$	27.1325	+	34.0231i	1.43400	+	1.79818i
$359$	−29.7360	+	14.3201i	−1.56941	+	0.755786i	−0.997898	−	0.0648100i	$-0.979356\pi$
$359$	−29.7360	+	14.3201i	−1.56941	+	0.755786i	−0.571508	+	0.820596i	$0.693642\pi$
$360$	−0.0130249	+	0.0570657i	−0.000686472	+	0.00300763i
$361$	27.3502			1.43948
$362$	5.69426			0.299284
$363$	4.48852	−	19.6655i	0.235586	−	1.03217i
$364$	2.79016	−	5.09174i	0.146244	−	0.266880i
$365$	−0.291544	−	1.27734i	−0.0152601	−	0.0668590i
$366$	7.35538	+	32.2260i	0.384472	+	1.68448i
$367$	8.81457	+	11.0531i	0.460117	+	0.576968i	0.956720	−	0.291009i	$-0.0939910\pi$
$367$	8.81457	+	11.0531i	0.460117	+	0.576968i	−0.496603	+	0.867978i	$0.665420\pi$
$368$	−4.76924	−	5.98044i	−0.248614	−	0.311752i
$369$	−0.368240	−	1.61336i	−0.0191698	−	0.0839884i
$370$	−0.383728	−	1.68122i	−0.0199490	−	0.0874025i
$371$	19.9357	−	3.46131i	1.03501	−	0.179702i
$372$	−0.318688	+	1.39626i	−0.0165232	+	0.0723929i
$373$	33.1315			1.71548			0.857741	−	0.514082i	$-0.171867\pi$
$373$	33.1315			1.71548			0.857741	+	0.514082i	$0.171867\pi$
$374$	−50.9639			−2.63528
$375$	−0.221003	+	0.968276i	−0.0114125	+	0.0500016i
$376$	1.17874	−	0.567653i	0.0607890	−	0.0292745i
$377$	−1.91844	−	2.40565i	−0.0988047	−	0.123897i
$378$	13.9749	−	25.5027i	0.718790	−	1.31172i
$379$	6.70381	−	8.40631i	0.344352	−	0.431803i	−0.579254	−	0.815147i	$-0.696656\pi$
$379$	6.70381	−	8.40631i	0.344352	−	0.431803i	0.923606	+	0.383344i	$0.125228\pi$
$380$	0.288844	−	1.26551i	0.0148174	−	0.0649192i
$381$	6.45010	−	8.08817i	0.330449	−	0.414369i
$382$	46.8743	−	22.5735i	2.39830	−	1.15496i
$383$	11.0226	+	13.8220i	0.563231	+	0.706269i	0.979151	−	0.203132i	$-0.0651121\pi$
$383$	11.0226	+	13.8220i	0.563231	+	0.706269i	−0.415921	+	0.909401i	$0.636541\pi$
$384$	3.26904	+	1.57429i	0.166823	+	0.0803376i
$385$	−0.474803	−	1.13467i	−0.0241982	−	0.0578283i
$386$	15.0196	−	7.23306i	0.764477	−	0.368153i
$387$	12.1591	+	5.85553i	0.618084	+	0.297653i
$388$	−0.767466	−	3.36249i	−0.0389622	−	0.170705i
$389$	−5.50919	−	2.65308i	−0.279327	−	0.134517i	0.288976	−	0.957336i	$-0.406685\pi$
$389$	−5.50919	−	2.65308i	−0.279327	−	0.134517i	−0.568302	+	0.822820i	$0.692400\pi$
$390$	−0.126918	+	0.159150i	−0.00642676	+	0.00805890i
$391$	−9.95543			−0.503468
$392$	−2.37165	−	1.46643i	−0.119786	−	0.0740659i
$393$	−6.14667			−0.310058
$394$	6.41993	−	8.05034i	0.323432	−	0.405570i
$395$	−0.638047	−	0.307267i	−0.0321036	−	0.0154603i
$396$	−4.41926	−	19.3620i	−0.222076	−	0.972979i
$397$	18.1044	+	8.71864i	0.908636	+	0.437576i	0.829000	−	0.559248i	$-0.188910\pi$
$397$	18.1044	+	8.71864i	0.908636	+	0.437576i	0.0796356	+	0.996824i	$0.474624\pi$
$398$	−16.9922	+	8.18303i	−0.851744	+	0.410178i
$399$	−9.90244	+	18.0709i	−0.495742	+	0.904677i
$400$	−16.0723	−	7.74001i	−0.803614	−	0.387000i
$401$	−18.7547	−	23.5177i	−0.936566	−	1.17442i	−0.984468	−	0.175565i	$-0.943825\pi$
$401$	−18.7547	−	23.5177i	−0.936566	−	1.17442i	0.0479014	−	0.998852i	$-0.484747\pi$
$402$	−2.43103	+	1.17072i	−0.121249	+	0.0583904i
$403$	0.355685	−	0.446015i	0.0177179	−	0.0222176i
$404$	3.17317	−	13.9026i	0.157871	−	0.691679i
$405$	−0.0577310	+	0.0723924i	−0.00286868	+	0.00359721i
$406$	−13.5628	+	9.69709i	−0.673108	+	0.481258i
$407$	32.3324	+	40.5436i	1.60266	+	2.00967i
$408$	1.90934	−	0.919490i	0.0945265	−	0.0455216i
$409$	5.48230	−	24.0195i	0.271082	−	1.18769i	−0.637656	−	0.770321i	$-0.720096\pi$
$409$	5.48230	−	24.0195i	0.271082	−	1.18769i	0.908738	−	0.417367i	$-0.137047\pi$
$410$	0.174107			0.00859852
$411$	−6.03248			−0.297560
$412$	−4.93425	+	21.6183i	−0.243093	+	1.06506i
$413$	4.07619	+	9.74119i	0.200576	+	0.479332i
$414$	−1.65003	−	7.22926i	−0.0810946	−	0.355299i
$415$	0.0250484	+	0.109744i	0.00122958	+	0.00538712i
$416$	−5.05944	−	6.34434i	−0.248059	−	0.311057i
$417$	4.16705	+	5.22531i	0.204061	+	0.255885i
$418$	16.6022	+	72.7388i	0.812038	+	3.55777i
$419$	1.49819	+	6.56402i	0.0731916	+	0.320673i	0.998249	−	0.0591545i	$-0.0188404\pi$
$419$	1.49819	+	6.56402i	0.0731916	+	0.320673i	−0.925057	+	0.379828i	$0.875983\pi$
$420$	0.431684	+	0.382982i	0.0210640	+	0.0186876i
$421$	−3.01492	+	13.2092i	−0.146938	+	0.643778i	0.846787	+	0.531932i	$0.178534\pi$
$421$	−3.01492	+	13.2092i	−0.146938	+	0.643778i	−0.993725	+	0.111847i	$0.964323\pi$
$422$	−3.80727			−0.185335
$423$	−5.55481			−0.270084
$424$	−0.677890	+	2.97003i	−0.0329213	+	0.144238i
$425$	−20.9179	+	10.0735i	−1.01467	+	0.488638i
$426$	−6.09135	−	7.63832i	−0.295127	−	0.370078i
$427$	−35.9050	−	10.2038i	−1.73756	−	0.493797i
$428$	15.4412	−	19.3626i	0.746378	−	0.935929i
$429$	1.36214	−	5.96793i	0.0657648	−	0.288134i
$430$	−0.885275	+	1.11010i	−0.0426918	+	0.0535338i
$431$	24.3776	−	11.7396i	1.17423	−	0.565477i	0.258002	−	0.966144i	$-0.416936\pi$
$431$	24.3776	−	11.7396i	1.17423	−	0.565477i	0.916224	+	0.400667i	$0.131222\pi$
$432$	−11.9563	−	14.9928i	−0.575250	−	0.721340i
$433$	14.2936	+	6.88345i	0.686908	+	0.330798i	0.744576	−	0.667538i	$-0.232652\pi$
$433$	14.2936	+	6.88345i	0.686908	+	0.330798i	−0.0576672	+	0.998336i	$0.518366\pi$
$434$	−2.31234	−	2.05147i	−0.110996	−	0.0984736i
$435$	0.275539	−	0.132693i	0.0132111	−	0.00636213i
$436$	36.3392	+	17.5001i	1.74033	+	0.838100i
$437$	3.24311	+	14.2090i	0.155139	+	0.679709i
$438$	−31.8328	−	15.3299i	−1.52103	−	0.732490i
$439$	5.63244	−	7.06286i	0.268822	−	0.337092i	−0.629037	−	0.777375i	$-0.716551\pi$
$439$	5.63244	−	7.06286i	0.268822	−	0.337092i	0.897859	+	0.440283i	$0.145122\pi$
$440$	0.185189			0.00882854
$441$	6.37092	+	9.97860i	0.303377	+	0.475171i
$442$	−9.52433			−0.453026
$443$	−11.5831	+	14.5247i	−0.550328	+	0.690089i	−0.976737	−	0.214441i	$-0.931207\pi$
$443$	−11.5831	+	14.5247i	−0.550328	+	0.690089i	0.426409	+	0.904530i	$0.359778\pi$
$444$	−21.9204	−	10.5563i	−1.04030	−	0.500981i
$445$	0.254534	+	1.11519i	0.0120661	+	0.0528650i
$446$	35.0223	+	16.8658i	1.65835	+	0.798621i
$447$	−2.48509	+	1.19676i	−0.117541	+	0.0566046i
$448$	−20.3880	+	14.5770i	−0.963243	+	0.688699i
$449$	−15.8982	−	7.65619i	−0.750284	−	0.361318i	0.0193418	−	0.999813i	$-0.493843\pi$
$449$	−15.8982	−	7.65619i	−0.750284	−	0.361318i	−0.769626	+	0.638495i	$0.779557\pi$
$450$	−10.7820	−	13.5202i	−0.508268	−	0.637347i
$451$	−4.71718	+	2.27167i	−0.222123	+	0.106969i
$452$	−2.30593	+	2.89155i	−0.108462	+	0.136007i
$453$	4.27654	−	18.7367i	0.200929	−	0.880328i
$454$	−30.2115	+	37.8840i	−1.41790	+	1.77799i
$455$	−0.0887331	−	0.212052i	−0.00415987	−	0.00994117i
$456$	−1.93435	−	2.42560i	−0.0905841	−	0.113589i
$457$	12.9459	−	6.23441i	0.605583	−	0.291633i	−0.105856	−	0.994381i	$-0.533758\pi$
$457$	12.9459	−	6.23441i	0.605583	−	0.291633i	0.711439	+	0.702748i	$0.248044\pi$
$458$	−7.09186	+	31.0715i	−0.331381	+	1.45187i
$459$	−24.9580			−1.16494
$460$	0.408162			0.0190306
$461$	5.67996	−	24.8856i	0.264542	−	1.15904i	−0.651721	−	0.758459i	$-0.725953\pi$
$461$	5.67996	−	24.8856i	0.264542	−	1.15904i	0.916263	−	0.400577i	$-0.131190\pi$
$462$	−31.9062	−	9.06741i	−1.48441	−	0.421854i
$463$	−6.56963	−	28.7834i	−0.305317	−	1.33768i	−0.861980	−	0.506942i	$-0.830776\pi$
$463$	−6.56963	−	28.7834i	−0.305317	−	1.33768i	0.556664	−	0.830738i	$-0.312081\pi$
$464$	2.44649	+	10.7188i	0.113576	+	0.497607i
$465$	0.0353525	+	0.0443306i	0.00163943	+	0.00205578i
$466$	34.9741	+	43.8562i	1.62014	+	2.03160i
$467$	−3.12555	−	13.6939i	−0.144633	−	0.633679i	−0.994324	−	0.106397i	$-0.966068\pi$
$467$	−3.12555	−	13.6939i	−0.144633	−	0.633679i	0.849691	−	0.527282i	$-0.176789\pi$
$468$	−0.825889	−	3.61846i	−0.0381767	−	0.167263i
$469$	0.159861	−	3.04276i	0.00738170	−	0.140502i
$470$	0.130046	−	0.569767i	0.00599856	−	0.0262814i
$471$	−10.2547			−0.472512
$472$	−1.58985			−0.0731788
$473$	9.50116	−	41.6273i	0.436864	−	1.91402i
$474$	−17.2062	+	8.28606i	−0.790306	+	0.380591i
$475$	21.1919	+	26.5737i	0.972349	+	1.21929i
$476$	−1.41663	+	26.9637i	−0.0649309	+	1.23588i
$477$	8.06450	−	10.1126i	0.369248	−	0.463022i
$478$	0.739426	−	3.23964i	0.0338206	−	0.148178i
$479$	−6.54300	+	8.20466i	−0.298957	+	0.374880i	−0.908509	−	0.417866i	$-0.862778\pi$
$479$	−6.54300	+	8.20466i	−0.298957	+	0.374880i	0.609551	+	0.792747i	$0.291350\pi$
$480$	0.726671	−	0.349946i	0.0331678	−	0.0159728i
$481$	6.04241	+	7.57694i	0.275510	+	0.345479i
$482$	40.3741	+	19.4432i	1.83899	+	0.885612i
$483$	−6.23265	−	1.77125i	−0.283595	−	0.0805948i
$484$	−34.8621	+	16.7887i	−1.58464	+	0.763123i
$485$	−0.123025	−	0.0592458i	−0.00558629	−	0.00269021i
$486$	−6.78185	−	29.7132i	−0.307631	−	1.34782i
$487$	−5.34319	−	2.57314i	−0.242123	−	0.116600i	0.308888	−	0.951099i	$-0.400043\pi$
$487$	−5.34319	−	2.57314i	−0.242123	−	0.116600i	−0.551011	+	0.834498i	$0.685758\pi$
$488$	3.50394	−	4.39380i	0.158616	−	0.198898i
$489$	−19.6584			−0.888983
$490$	−1.17268	+	0.419864i	−0.0529761	+	0.0189675i
$491$	−19.0940			−0.861701			−0.430851	−	0.902423i	$-0.641786\pi$
$491$	−19.0940			−0.861701			−0.430851	+	0.902423i	$0.641786\pi$
$492$	1.53155	−	1.92051i	0.0690478	−	0.0865832i
$493$	12.8921	+	6.20850i	0.580630	+	0.279617i
$494$	3.10268	+	13.5937i	0.139596	+	0.611610i
$495$	−0.708410	−	0.341152i	−0.0318407	−	0.0153337i
$496$	−1.83654	+	0.884430i	−0.0824630	+	0.0397121i
$497$	10.8698	−	1.88725i	0.487576	−	0.0846546i
$498$	2.73496	+	1.31709i	0.122556	+	0.0590200i
$499$	16.9838	+	21.2970i	0.760300	+	0.953386i	0.999847	−	0.0174987i	$-0.00557028\pi$
$499$	16.9838	+	21.2970i	0.760300	+	0.953386i	−0.239547	+	0.970885i	$0.576999\pi$
$500$	1.71652	−	0.826632i	0.0767650	−	0.0369681i
$501$	−15.2258	+	19.0925i	−0.680237	+	0.852991i
$502$	−4.97557	+	21.7994i	−0.222070	+	0.972954i
$503$	−15.8064	+	19.8207i	−0.704774	+	0.883759i	−0.997370	−	0.0724771i	$-0.976910\pi$
$503$	−15.8064	+	19.8207i	−0.704774	+	0.883759i	0.292596	+	0.956236i	$0.405481\pi$
$504$	−1.75619	+	0.304915i	−0.0782269	+	0.0135820i
$505$	−0.352005	−	0.441400i	−0.0156640	−	0.0196420i
$506$	−21.1370	+	10.1790i	−0.939654	+	0.452514i
$507$	0.254562	−	1.11531i	0.0113055	−	0.0495327i
$508$	−19.8449			−0.880475
$509$	−28.6371			−1.26932			−0.634658	−	0.772793i	$-0.718859\pi$
$509$	−28.6371			−1.26932			−0.634658	+	0.772793i	$0.718859\pi$
$510$	0.210649	−	0.922915i	0.00932771	−	0.0408674i
$511$	32.4557	−	23.2051i	1.43576	−	1.02654i
$512$	7.08550	+	31.0436i	0.313138	+	1.37195i
$513$	8.13039	+	35.6216i	0.358966	+	1.57273i
$514$	−36.8467	−	46.2044i	−1.62524	−	2.03799i
$515$	0.547363	+	0.686371i	0.0241197	+	0.0302451i
$516$	4.45766	+	19.5303i	0.196238	+	0.859773i
$517$	3.91068	+	17.1338i	0.171992	+	0.753544i
$518$	42.7179	−	30.5424i	1.87692	−	1.34196i
$519$	−0.204464	+	0.895816i	−0.00897498	+	0.0393219i
$520$	0.0346089			0.00151770
$521$	−24.0333			−1.05292			−0.526459	−	0.850200i	$-0.676481\pi$
$521$	−24.0333			−1.05292			−0.526459	+	0.850200i	$0.676481\pi$
$522$	−2.37162	+	10.3908i	−0.103803	+	0.454791i
$523$	16.1779	−	7.79089i	0.707412	−	0.340672i	−0.0453437	−	0.998971i	$-0.514438\pi$
$523$	16.1779	−	7.79089i	0.707412	−	0.340672i	0.752756	+	0.658300i	$0.228724\pi$
$524$	7.35158	+	9.21859i	0.321155	+	0.402716i
$525$	−14.8880	+	2.58491i	−0.649767	+	0.112815i
$526$	−2.38254	+	2.98762i	−0.103884	+	0.130266i
$527$	−0.590339	+	2.58644i	−0.0257156	+	0.112667i
$528$	−13.6375	+	17.1009i	−0.593496	+	0.744221i
$529$	16.5933	−	7.99092i	0.721449	−	0.347431i
$530$	0.848464	+	1.06394i	0.0368549	+	0.0462146i
$531$	6.08171	+	2.92880i	0.263924	+	0.127099i
$532$	38.9458	−	6.76190i	1.68852	−	0.293166i
$533$	−0.881565	+	0.424539i	−0.0381848	+	0.0183888i
$534$	27.7918	+	13.3838i	1.20267	+	0.579175i
$535$	−0.218182	−	0.955917i	−0.00943282	−	0.0413279i
$536$	0.413317	+	0.199043i	0.0178526	+	0.00859735i
$537$	15.1556	−	19.0045i	0.654013	−	0.820106i
$538$	3.11829			0.134439
$539$	26.2938	−	26.6762i	1.13255	−	1.14903i
$540$	1.02325			0.0440336
$541$	−19.4221	+	24.3545i	−0.835020	+	1.04708i	0.163150	+	0.986601i	$0.447835\pi$
$541$	−19.4221	+	24.3545i	−0.835020	+	1.04708i	−0.998169	+	0.0604803i	$0.980737\pi$
$542$	−38.7947	−	18.6826i	−1.66638	−	0.802484i
$543$	−0.707769	−	3.10094i	−0.0303733	−	0.133074i
$544$	33.9999	+	16.3735i	1.45773	+	0.702007i
$545$	1.43871	−	0.692844i	0.0616274	−	0.0296782i
$546$	−5.96276	−	1.69455i	−0.255182	−	0.0725202i
$547$	−5.06071	−	2.43711i	−0.216380	−	0.104203i	0.322554	−	0.946551i	$-0.395459\pi$
$547$	−5.06071	−	2.43711i	−0.216380	−	0.104203i	−0.538934	+	0.842348i	$0.681173\pi$
$548$	7.21501	+	9.04734i	0.308210	+	0.386483i
$549$	−21.4979	+	10.3528i	−0.917508	+	0.441849i
$550$	−34.1123	+	42.7755i	−1.45455	+	1.82395i
$551$	4.66139	−	20.4229i	0.198582	−	0.870045i
$552$	0.608239	−	0.762708i	0.0258884	−	0.0324630i
$553$	1.13145	−	21.5358i	0.0481143	−	0.915797i
$554$	−1.08119	−	1.35576i	−0.0459352	−	0.0576009i
$555$	−0.867851	+	0.417935i	−0.0368382	+	0.0177404i
$556$	2.85287	−	12.4992i	0.120989	−	0.530086i
$557$	−22.8709			−0.969072			−0.484536	−	0.874771i	$-0.661012\pi$
$557$	−22.8709			−0.969072			−0.484536	+	0.874771i	$0.661012\pi$
$558$	−1.97602			−0.0836516
$559$	1.77561	−	7.77947i	0.0751004	−	0.329037i
$560$	−0.0430934	+	0.820231i	−0.00182103	+	0.0346611i
$561$	6.33456	+	27.7535i	0.267445	+	1.17176i
$562$	12.3343	+	54.0399i	0.520289	+	2.27954i
$563$	3.96860	+	4.97647i	0.167257	+	0.209733i	0.858395	−	0.512989i	$-0.171462\pi$
$563$	3.96860	+	4.97647i	0.167257	+	0.209733i	−0.691138	+	0.722722i	$0.742890\pi$
$564$	−5.14093	−	6.44652i	−0.216472	−	0.271447i
$565$	0.0325825	+	0.142753i	0.00137076	+	0.00600568i
$566$	−2.55611	−	11.1991i	−0.107441	−	0.470732i
$567$	−2.71226	−	0.770797i	−0.113904	−	0.0323704i
$568$	−0.369614	+	1.61938i	−0.0155086	+	0.0679478i
$569$	4.15339			0.174119			0.0870596	−	0.996203i	$-0.472253\pi$
$569$	4.15339			0.174119			0.0870596	+	0.996203i	$0.472253\pi$
$570$	−1.38586			−0.0580475
$571$	0.635618	−	2.78482i	0.0265998	−	0.116541i	−0.959885	−	0.280394i	$-0.909535\pi$
$571$	0.635618	−	2.78482i	0.0265998	−	0.116541i	0.986485	+	0.163852i	$0.0523921\pi$
$572$	−10.5797	+	5.09491i	−0.442359	+	0.213029i
$573$	−18.1192	−	22.7207i	−0.756939	−	0.949171i
$574$	2.04663	+	4.89098i	0.0854246	+	0.204146i
$575$	−6.66360	+	8.35589i	−0.277891	+	0.348465i
$576$	−3.56511	+	15.6198i	−0.148546	+	0.650823i
$577$	28.8630	−	36.1930i	1.20158	−	1.50673i	0.391749	−	0.920072i	$-0.371870\pi$
$577$	28.8630	−	36.1930i	1.20158	−	1.50673i	0.809832	−	0.586662i	$-0.199558\pi$
$578$	8.53717	−	4.11129i	0.355100	−	0.171007i
$579$	−5.80579	−	7.28023i	−0.241280	−	0.302556i
$580$	−0.528562	−	0.254542i	−0.0219473	−	0.0105693i
$581$	−2.78847	+	1.99370i	−0.115685	+	0.0827125i
$582$	−3.31762	+	1.59768i	−0.137520	+	0.0662260i
$583$	−36.8698	−	17.7555i	−1.52699	−	0.735360i
$584$	1.33669	+	5.85640i	0.0553124	+	0.242340i
$585$	−0.132390	−	0.0637559i	−0.00547367	−	0.00263598i
$586$	−13.7276	+	17.2139i	−0.567082	+	0.711099i
$587$	−3.65210			−0.150738			−0.0753692	−	0.997156i	$-0.524014\pi$
$587$	−3.65210			−0.150738			−0.0753692	+	0.997156i	$0.524014\pi$
$588$	−5.68423	+	16.6287i	−0.234414	+	0.685758i
$589$	3.88385			0.160031
$590$	−0.442793	+	0.555245i	−0.0182295	+	0.0228591i
$591$	−5.18196	−	2.49550i	−0.213157	−	0.102651i
$592$	−7.70559	−	33.7604i	−0.316698	−	1.38754i
$593$	−39.5922	−	19.0666i	−1.62586	−	0.782971i	−0.999995	−	0.00303592i	$-0.999034\pi$
$593$	−39.5922	−	19.0666i	−1.62586	−	0.782971i	−0.625861	−	0.779935i	$-0.715252\pi$
$594$	−52.9898	+	25.5186i	−2.17420	+	1.04704i
$595$	0.799652	+	0.709438i	0.0327826	+	0.0290841i
$596$	4.76710	+	2.29571i	0.195268	+	0.0940361i
$597$	6.56831	+	8.23640i	0.268823	+	0.337093i
$598$	−3.95017	+	1.90230i	−0.161534	+	0.0777908i
$599$	−18.0778	+	22.6689i	−0.738641	+	0.926226i	−0.999230	−	0.0392234i	$-0.987512\pi$
$599$	−18.0778	+	22.6689i	−0.738641	+	0.926226i	0.260590	+	0.965450i	$0.416083\pi$
$600$	0.506249	−	2.21802i	0.0206675	−	0.0905504i
$601$	10.0965	−	12.6606i	0.411843	−	0.516435i	−0.532038	−	0.846720i	$-0.678574\pi$
$601$	10.0965	−	12.6606i	0.411843	−	0.516435i	0.943881	+	0.330286i	$0.107145\pi$
$602$	−41.5912	−	11.8198i	−1.69513	−	0.481738i
$603$	−1.21440	−	1.52281i	−0.0494543	−	0.0620137i
$604$	−33.2157	+	15.9958i	−1.35153	+	0.650861i
$605$	−0.340887	+	1.49352i	−0.0138590	+	0.0607204i
$606$	−15.2248			−0.618464
$607$	14.2200			0.577174			0.288587	−	0.957454i	$-0.406815\pi$
$607$	14.2200			0.577174			0.288587	+	0.957454i	$0.406815\pi$
$608$	12.2933	−	53.8606i	0.498561	−	2.18434i
$609$	6.96655	+	6.18060i	0.282299	+	0.250451i
$610$	−0.558616	−	2.44746i	−0.0226177	−	0.0990946i
$611$	0.730843	+	3.20203i	0.0295668	+	0.129540i
$612$	10.7615	+	13.4945i	0.435010	+	0.545485i
$613$	−12.0871	−	15.1568i	−0.488195	−	0.612177i	0.475326	−	0.879810i	$-0.342330\pi$
$613$	−12.0871	−	15.1568i	−0.488195	−	0.612177i	−0.963521	+	0.267632i	$0.913759\pi$
$614$	−11.9486	−	52.3504i	−0.482208	−	2.11269i
$615$	−0.0216406	−	0.0948138i	−0.000872635	−	0.00382326i
$616$	2.17690	+	5.20230i	0.0877098	+	0.209607i
$617$	0.195281	−	0.855583i	0.00786172	−	0.0344445i	−0.970845	−	0.239708i	$-0.922948\pi$
$617$	0.195281	−	0.855583i	0.00786172	−	0.0344445i	0.978707	+	0.205264i	$0.0658053\pi$
$618$	23.6743			0.952322
$619$	31.2518			1.25611			0.628057	−	0.778167i	$-0.283850\pi$
$619$	31.2518			1.25611			0.628057	+	0.778167i	$0.283850\pi$
$620$	0.0242032	−	0.106041i	0.000972026	−	0.00425872i
$621$	−10.3512	+	4.98487i	−0.415379	+	0.200036i
$622$	−23.2791	−	29.1911i	−0.933408	−	1.17046i
$623$	−28.3356	+	20.2594i	−1.13524	+	0.811675i
$624$	−2.54863	+	3.19588i	−0.102027	+	0.127938i
$625$	−5.53784	+	24.2629i	−0.221514	+	0.970515i
$626$	0.312611	−	0.392002i	0.0124944	−	0.0156675i
$627$	37.5480	−	18.0822i	1.49952	−	0.722132i
$628$	12.2649	+	15.3797i	0.489423	+	0.613717i
$629$	−40.6055	−	19.5546i	−1.61905	−	0.779692i
$630$	−0.382631	+	0.698261i	−0.0152444	+	0.0278194i
$631$	25.1228	−	12.0985i	1.00012	−	0.481633i	0.139142	−	0.990272i	$-0.455565\pi$
$631$	25.1228	−	12.0985i	1.00012	−	0.481633i	0.860980	+	0.508639i	$0.169851\pi$
$632$	2.92535	+	1.40877i	0.116364	+	0.0560379i
$633$	0.473226	+	2.07334i	0.0188090	+	0.0824078i
$634$	60.1579	+	28.9705i	2.38918	+	1.15057i
$635$	−0.489863	+	0.614268i	−0.0194396	+	0.0243765i
$636$	19.1996			0.761312
$637$	4.91388	−	4.98535i	0.194695	−	0.197527i
$638$	33.7200			1.33499
$639$	4.39709	−	5.51378i	0.173946	−	0.218122i
$640$	−0.248273	−	0.119562i	−0.00981383	−	0.00472609i
$641$	4.41747	+	19.3542i	0.174479	+	0.764444i	0.984118	+	0.177515i	$0.0568060\pi$
$641$	4.41747	+	19.3542i	0.174479	+	0.764444i	−0.809639	+	0.586929i	$0.800337\pi$
$642$	−23.8226	−	11.4724i	−0.940204	−	0.452778i
$643$	16.7555	−	8.06900i	0.660771	−	0.318210i	−0.0732737	−	0.997312i	$-0.523345\pi$
$643$	16.7555	−	8.06900i	0.660771	−	0.318210i	0.734044	+	0.679101i	$0.237630\pi$
$644$	4.79795	+	11.4660i	0.189066	+	0.451824i
$645$	0.714566	+	0.344117i	0.0281360	+	0.0135496i
$646$	−40.4287	−	50.6960i	−1.59065	−	1.99461i
$647$	−4.92812	+	2.37326i	−0.193744	+	0.0933023i	−0.528241	−	0.849095i	$-0.677148\pi$
$647$	−4.92812	+	2.37326i	−0.193744	+	0.0933023i	0.334496	+	0.942397i	$0.391434\pi$
$648$	0.264688	−	0.331908i	0.0103979	−	0.0130386i
$649$	4.75225	−	20.8210i	0.186542	−	0.817294i
$650$	−6.37504	+	7.99405i	−0.250050	+	0.313553i
$651$	−0.829760	+	1.51422i	−0.0325209	+	0.0593471i
$652$	23.5120	+	29.4831i	0.920800	+	1.15465i
$653$	−6.69573	+	3.22449i	−0.262024	+	0.126184i	−0.560284	−	0.828300i	$-0.689308\pi$
$653$	−6.69573	+	3.22449i	−0.262024	+	0.126184i	0.298260	+	0.954485i	$0.403594\pi$
$654$	9.58219	−	41.9823i	0.374693	−	1.64164i
$655$	0.466818			0.0182401
$656$	3.49622			0.136504
$657$	5.67530	−	24.8651i	0.221414	−	0.970080i
$658$	17.5345	−	3.04440i	0.683566	−	0.118683i
$659$	0.0948651	+	0.415631i	0.00369542	+	0.0161907i	0.976742	−	0.214418i	$-0.0687854\pi$
$659$	0.0948651	+	0.415631i	0.00369542	+	0.0161907i	−0.973047	+	0.230609i	$0.925928\pi$
$660$	−0.259710	−	1.13786i	−0.0101092	−	0.0442913i
$661$	−6.92424	−	8.68272i	−0.269322	−	0.337719i	0.628718	−	0.777633i	$-0.283580\pi$
$661$	−6.92424	−	8.68272i	−0.269322	−	0.337719i	−0.898039	+	0.439915i	$0.855009\pi$
$662$	29.0626	+	36.4434i	1.12955	+	1.41641i
$663$	1.18383	+	5.18669i	0.0459761	+	0.201434i
$664$	−0.114843	−	0.503159i	−0.00445677	−	0.0195264i
$665$	0.752056	−	1.37242i	0.0291635	−	0.0532203i
$666$	7.46977	−	32.7272i	0.289448	−	1.26815i
$667$	6.58696			0.255048
$668$	46.8449			1.81248
$669$	4.83158	−	21.1685i	0.186800	−	0.818423i
$670$	0.184629	−	0.0889124i	0.00713282	−	0.00343499i
$671$	47.0683	+	59.0218i	1.81705	+	2.27851i
$672$	18.3727	+	16.2999i	0.708741	+	0.628782i
$673$	14.9770	−	18.7806i	0.577321	−	0.723937i	−0.404333	−	0.914612i	$-0.632496\pi$
$673$	14.9770	−	18.7806i	0.577321	−	0.723937i	0.981653	+	0.190675i	$0.0610676\pi$
$674$	−5.79496	+	25.3894i	−0.223214	+	0.977963i
$675$	−16.7054	+	20.9480i	−0.642993	+	0.806287i
$676$	−1.97717	+	0.952157i	−0.0760452	+	0.0366214i
$677$	26.5447	+	33.2860i	1.02020	+	1.27929i	0.959673	+	0.281119i	$0.0907054\pi$
$677$	26.5447	+	33.2860i	1.02020	+	1.27929i	0.0605230	+	0.998167i	$0.480723\pi$
$678$	3.55759	+	1.71324i	0.136628	+	0.0657967i
$679$	0.218162	−	4.15244i	0.00837228	−	0.159356i
$680$	−0.145008	+	0.0698321i	−0.00556080	+	0.00267794i
$681$	24.3858	+	11.7436i	0.934464	+	0.450014i
$682$	1.39115	+	6.09504i	0.0532700	+	0.233391i
$683$	−1.14219	−	0.550050i	−0.0437047	−	0.0210471i	0.411904	−	0.911227i	$-0.364864\pi$
$683$	−1.14219	−	0.550050i	−0.0437047	−	0.0210471i	−0.455608	+	0.890180i	$0.650578\pi$
$684$	15.7545	−	19.7556i	0.602390	−	0.755373i
$685$	0.458146			0.0175049
$686$	−25.5796	−	28.0071i	−0.976633	−	1.06932i
$687$	17.8022			0.679194
$688$	−17.7771	+	22.2918i	−0.677746	+	0.849866i
$689$	−6.89037	−	3.31823i	−0.262502	−	0.126414i
$690$	−0.0969686	−	0.424847i	−0.00369153	−	0.0161737i
$691$	6.89677	+	3.32131i	0.262366	+	0.126349i	0.560443	−	0.828193i	$-0.310631\pi$
$691$	6.89677	+	3.32131i	0.262366	+	0.126349i	−0.298077	+	0.954542i	$0.596345\pi$
$692$	1.58806	−	0.764771i	0.0603691	−	0.0290722i
$693$	1.25623	−	23.9108i	0.0477202	−	0.908296i
$694$	−4.57540	−	2.20340i	−0.173680	−	0.0836398i
$695$	−0.316473	−	0.396844i	−0.0120045	−	0.0150532i
$696$	−1.26331	+	0.608376i	−0.0478855	+	0.0230604i
$697$	2.83706	−	3.55756i	0.107461	−	0.134752i
$698$	12.8385	−	56.2494i	0.485946	−	2.12907i
$699$	19.5358	−	24.4971i	0.738910	−	0.926564i
$700$	21.6833	+	19.2370i	0.819550	+	0.727091i
$701$	−21.7483	−	27.2715i	−0.821423	−	1.03003i	−0.998945	−	0.0459148i	$-0.985380\pi$
$701$	−21.7483	−	27.2715i	−0.821423	−	1.03003i	0.177523	−	0.984117i	$-0.443192\pi$
$702$	−9.90295	+	4.76901i	−0.373763	+	0.179995i
$703$	−14.6817	+	64.3249i	−0.553732	+	2.42606i
$704$	50.6891			1.91042
$705$	−0.326444			−0.0122946
$706$	−8.80841	+	38.5921i	−0.331509	+	1.45243i
$707$	8.26192	−	15.0771i	0.310721	−	0.567033i
$708$	2.22961	+	9.76858i	0.0837940	+	0.367126i
$709$	−2.12160	−	9.29532i	−0.0796782	−	0.349093i	0.919337	−	0.393472i	$-0.128726\pi$
$709$	−2.12160	−	9.29532i	−0.0796782	−	0.349093i	−0.999015	+	0.0443791i	$0.985869\pi$
$710$	0.462617	+	0.580104i	0.0173617	+	0.0217709i
$711$	−8.59520	−	10.7780i	−0.322345	−	0.404208i
$712$	−1.16700	−	5.11296i	−0.0437352	−	0.191616i
$713$	0.271752	+	1.19062i	0.0101772	+	0.0445892i
$714$	28.4026	−	4.93135i	1.06294	−	0.184551i
$715$	−0.103450	+	0.453244i	−0.00386881	+	0.0169504i
$716$	−46.6290			−1.74261
$717$	−1.85613			−0.0693183
$718$	15.0412	−	65.9000i	0.561334	−	2.45937i
$719$	−2.90844	+	1.40063i	−0.108467	+	0.0522348i	−0.487330	−	0.873218i	$-0.662029\pi$
$719$	−2.90844	+	1.40063i	−0.108467	+	0.0522348i	0.378864	+	0.925453i	$0.376315\pi$
$720$	0.327364	+	0.410501i	0.0122001	+	0.0152985i
$721$	−12.8472	+	23.4447i	−0.478454	+	0.873128i
$722$	−34.9245	+	43.7939i	−1.29975	+	1.62984i
$723$	5.56990	−	24.4033i	0.207147	−	0.907570i
$724$	−3.80419	+	4.77030i	−0.141382	+	0.177287i
$725$	13.8402	−	6.66510i	0.514013	−	0.247535i
$726$	25.7574	+	32.2987i	0.955945	+	1.19872i
$727$	8.14159	+	3.92078i	0.301955	+	0.145414i	0.578726	−	0.815522i	$-0.303550\pi$
$727$	8.14159	+	3.92078i	0.301955	+	0.145414i	−0.276771	+	0.960936i	$0.589264\pi$
$728$	0.406828	+	0.972227i	0.0150780	+	0.0360331i
$729$	−18.2186	+	8.77364i	−0.674765	+	0.324950i
$730$	2.41759	+	1.16425i	0.0894792	+	0.0430909i
$731$	8.25739	+	36.1780i	0.305411	+	1.33809i
$732$	−31.9109	−	15.3675i	−1.17946	−	0.567999i
$733$	9.31448	−	11.6800i	0.344038	−	0.431410i	−0.579467	−	0.814996i	$-0.696739\pi$
$733$	9.31448	−	11.6800i	0.344038	−	0.431410i	0.923505	+	0.383585i	$0.125311\pi$
$734$	−28.9542			−1.06872
$735$	0.374405	+	0.586420i	0.0138101	+	0.0216304i
$736$	17.3716			0.640324
$737$	−3.84216	+	4.81791i	−0.141528	+	0.177470i
$738$	3.05358	+	1.47053i	0.112404	+	0.0541309i
$739$	−3.65211	−	16.0009i	−0.134345	−	0.588604i	−0.996619	−	0.0821618i	$-0.973818\pi$
$739$	−3.65211	−	16.0009i	−0.134345	−	0.588604i	0.862274	−	0.506442i	$-0.169040\pi$
$740$	1.66478	+	0.801716i	0.0611986	+	0.0294717i
$741$	7.01712	−	3.37927i	0.257780	−	0.124140i
$742$	−19.9143	+	36.3415i	−0.731078	+	1.33414i
$743$	2.33910	+	1.12645i	0.0858134	+	0.0413255i	0.476298	−	0.879284i	$-0.341978\pi$
$743$	2.33910	+	1.12645i	0.0858134	+	0.0413255i	−0.390485	+	0.920609i	$0.627693\pi$
$744$	−0.162086	−	0.203249i	−0.00594235	−	0.00745147i
$745$	0.188734	−	0.0908895i	0.00691468	−	0.00332993i
$746$	−42.3068	+	53.0510i	−1.54896	+	1.94234i
$747$	−0.487600	+	2.13631i	−0.0178403	+	0.0781636i
$748$	34.0476	−	42.6944i	1.24490	−	1.56106i
$749$	24.2887	−	17.3659i	0.887491	−	0.634538i
$750$	−1.26822	−	1.59030i	−0.0463090	−	0.0580697i
$751$	18.8390	−	9.07239i	0.687445	−	0.331056i	−0.0573455	−	0.998354i	$-0.518264\pi$
$751$	18.8390	−	9.07239i	0.687445	−	0.331056i	0.744791	+	0.667298i	$0.232549\pi$
$752$	2.61143	−	11.4414i	0.0952291	−	0.417226i
$753$	12.4898			0.455153
$754$	6.30172			0.229495
$755$	−0.324788	+	1.42299i	−0.0118202	+	0.0517879i
$756$	12.0283	+	28.7450i	0.437465	+	1.04544i
$757$	−10.7423	−	47.0651i	−0.390436	−	1.71061i	−0.663124	−	0.748509i	$-0.730770\pi$
$757$	−10.7423	−	47.0651i	−0.390436	−	1.71061i	0.272688	−	0.962102i	$-0.412087\pi$
$758$	4.90008	+	21.4687i	0.177979	+	0.779777i
$759$	8.17046	+	10.2454i	0.296569	+	0.371886i
$760$	0.146907	+	0.184216i	0.00532888	+	0.00668220i
$761$	−0.341794	−	1.49750i	−0.0123900	−	0.0542842i	0.968355	−	0.249577i	$-0.0802915\pi$
$761$	−0.341794	−	1.49750i	−0.0123900	−	0.0542842i	−0.980745	+	0.195293i	$0.937434\pi$
$762$	4.71463	+	20.6562i	0.170793	+	0.748293i
$763$	36.3753	+	32.2715i	1.31687	+	1.16831i
$764$	−12.4048	+	54.3492i	−0.448792	+	1.96628i
$765$	0.683347			0.0247065
$766$	−36.2073			−1.30822
$767$	0.888119	−	3.89110i	0.0320681	−	0.140500i
$768$	12.8325	−	6.17979i	0.463052	−	0.222994i
$769$	30.5125	+	38.2615i	1.10031	+	1.37974i	0.918037	+	0.396495i	$0.129774\pi$
$769$	30.5125	+	38.2615i	1.10031	+	1.37974i	0.182272	+	0.983248i	$0.441655\pi$
$770$	2.42317	+	0.688638i	0.0873248	+	0.0248168i
$771$	−20.5818	+	25.8087i	−0.741234	+	0.929478i
$772$	−3.97479	+	17.4147i	−0.143056	+	0.626769i
$773$	13.5968	−	17.0499i	0.489044	−	0.613242i	−0.474675	−	0.880161i	$-0.657434\pi$
$773$	13.5968	−	17.0499i	0.489044	−	0.613242i	0.963719	+	0.266920i	$0.0860058\pi$
$774$	−24.9025	+	11.9924i	−0.895102	+	0.431058i
$775$	1.77574	+	2.22671i	0.0637865	+	0.0799857i
$776$	0.564052	+	0.271633i	0.0202483	+	0.00975106i
$777$	−21.9422	−	19.4667i	−0.787171	−	0.698364i
$778$	11.2831	−	5.43364i	0.404518	−	0.194806i
$779$	−6.00178	−	2.89030i	−0.215036	−	0.103556i
$780$	−0.0485357	−	0.212649i	−0.00173786	−	0.00761404i
$781$	−20.1029	−	9.68105i	−0.719338	−	0.346415i
$782$	12.7125	−	15.9409i	0.454596	−	0.570046i
$783$	16.5133			0.590137
$784$	−23.5484	+	8.43125i	−0.841013	+	0.301116i
$785$	0.778809			0.0277969
$786$	7.84891	−	9.84222i	0.279961	−	0.351060i
$787$	−21.5663	−	10.3858i	−0.768756	−	0.370213i	0.00803842	−	0.999968i	$-0.497441\pi$
$787$	−21.5663	−	10.3858i	−0.768756	−	0.370213i	−0.776794	+	0.629754i	$0.783156\pi$
$788$	2.45509	+	10.7564i	0.0874589	+	0.383183i
$789$	1.92311	+	0.926123i	0.0684646	+	0.0329708i
$790$	1.30675	−	0.629298i	0.0464921	−	0.0223894i
$791$	−3.62720	+	2.59337i	−0.128968	+	0.0922096i
$792$	3.24795	+	1.56413i	0.115411	+	0.0555789i
$793$	8.79631	+	11.0302i	0.312366	+	0.391695i
$794$	−37.0788	+	17.8562i	−1.31588	+	0.633693i
$795$	0.473933	−	0.594293i	0.0168087	−	0.0210774i
$796$	4.49684	−	19.7019i	0.159386	−	0.698316i
$797$	19.5703	−	24.5403i	0.693214	−	0.869263i	−0.303282	−	0.952901i	$-0.598082\pi$
$797$	19.5703	−	24.5403i	0.693214	−	0.869263i	0.996496	+	0.0836379i	$0.0266539\pi$
$798$	−16.2908	−	38.9315i	−0.576690	−	1.37816i
$799$	−9.52307	−	11.9416i	−0.336902	−	0.422462i
$800$	36.5003	−	17.5776i	1.29048	−	0.621463i
$801$	−4.95485	+	21.7086i	−0.175071	+	0.767036i
$802$	61.6058			2.17538
$803$	−80.6920			−2.84756
$804$	0.643350	−	2.81870i	0.0226892	−	0.0994079i
$805$	0.473348	+	0.134521i	0.0166833	+	0.00474123i
$806$	0.259984	+	1.13907i	0.00915755	+	0.0401219i
$807$	−0.387589	−	1.69814i	−0.0136438	−	0.0597773i
$808$	1.61389	+	2.02375i	0.0567763	+	0.0711953i
$809$	17.9293	+	22.4826i	0.630360	+	0.790446i	0.989761	−	0.142737i	$-0.0455904\pi$
$809$	17.9293	+	22.4826i	0.630360	+	0.790446i	−0.359401	+	0.933183i	$0.617019\pi$
$810$	−0.0421979	−	0.184881i	−0.00148268	−	0.00649606i
$811$	3.52110	+	15.4269i	0.123643	+	0.541713i	0.998369	+	0.0570959i	$0.0181841\pi$
$811$	3.52110	+	15.4269i	0.123643	+	0.541713i	−0.874726	+	0.484618i	$0.838959\pi$
$812$	0.937303	−	17.8404i	0.0328929	−	0.626076i
$813$	−5.35201	+	23.4487i	−0.187703	+	0.822382i
$814$	−106.206			−3.72252
$815$	1.49299			0.0522971
$816$	4.23002	−	18.5329i	0.148080	−	0.648783i
$817$	48.9455	−	23.5709i	1.71239	−	0.824642i
$818$	31.4602	+	39.4498i	1.09998	+	1.37933i
$819$	0.234769	−	4.46854i	0.00820350	−	0.156144i
$820$	−0.116316	+	0.145856i	−0.00406194	+	0.00509351i
$821$	9.29114	−	40.7072i	0.324263	−	1.42069i	−0.505622	−	0.862755i	$-0.668737\pi$
$821$	9.29114	−	40.7072i	0.324263	−	1.42069i	0.829885	−	0.557934i	$-0.188406\pi$
$822$	7.70309	−	9.65938i	0.268676	−	0.336909i
$823$	−46.2147	+	22.2558i	−1.61094	+	0.775789i	−0.999875	−	0.0157890i	$-0.994974\pi$
$823$	−46.2147	+	22.2558i	−1.61094	+	0.775789i	−0.611068	+	0.791578i	$0.709260\pi$
$824$	−2.50957	−	3.14691i	−0.0874252	−	0.109628i
$825$	27.5344	+	13.2599i	0.958623	+	0.461649i
$826$	−20.8029	−	5.91197i	−0.723825	−	0.205704i
$827$	30.6783	−	14.7739i	1.06679	−	0.513738i	0.183717	−	0.982979i	$-0.441187\pi$
$827$	30.6783	−	14.7739i	1.06679	−	0.513738i	0.883070	+	0.469241i	$0.155473\pi$
$828$	7.15857	+	3.44738i	0.248777	+	0.119805i
$829$	−8.47755	−	37.1426i	−0.294437	−	1.29001i	−0.878280	−	0.478147i	$-0.841308\pi$
$829$	−8.47755	−	37.1426i	−0.294437	−	1.29001i	0.583842	−	0.811867i	$-0.301549\pi$
$830$	−0.207710	−	0.100028i	−0.00720973	−	0.00347203i
$831$	−0.603926	+	0.757299i	−0.0209500	+	0.0262704i
$832$	9.47297			0.328416
$833$	−10.5295	+	30.8032i	−0.364825	+	1.06727i
$834$	−13.6880			−0.473976
$835$	1.15634	−	1.45001i	0.0400170	−	0.0501797i
$836$	−72.0276	−	34.6867i	−2.49113	−	1.19966i
$837$	0.681274	+	2.98486i	0.0235483	+	0.103172i
$838$	−12.4236	−	5.98288i	−0.429166	−	0.206675i
$839$	6.54584	−	3.15231i	0.225988	−	0.108830i	−0.317464	−	0.948270i	$-0.602831\pi$
$839$	6.54584	−	3.15231i	0.225988	−	0.108830i	0.543452	+	0.839440i	$0.317117\pi$
$840$	−0.103207	+	0.0179192i	−0.00356099	+	0.000618271i
$841$	17.5981	+	8.47481i	0.606832	+	0.292235i
$842$	−17.3011	−	21.6949i	−0.596236	−	0.747656i
$843$	27.8956	−	13.4338i	0.960775	−	0.462685i
$844$	2.54354	−	3.18950i	0.0875523	−	0.109787i
$845$	−0.0193331	+	0.0847040i	−0.000665080	+	0.00291391i
$846$	7.09314	−	8.89451i	0.243867	−	0.305800i
$847$	−45.9630	+	7.98025i	−1.57931	+	0.274205i
$848$	17.0379	+	21.3649i	0.585084	+	0.733672i
$849$	−5.78099	+	2.78398i	−0.198403	+	0.0955459i
$850$	10.5808	−	46.3576i	0.362919	−	1.59005i
$851$	−20.7466			−0.711183
$852$	10.4684			0.358641
$853$	1.23864	−	5.42684i	0.0424102	−	0.185811i	−0.949286	−	0.314414i	$-0.898192\pi$
$853$	1.23864	−	5.42684i	0.0424102	−	0.185811i	0.991696	+	0.128603i	$0.0410492\pi$
$854$	62.1870	−	44.4624i	2.12800	−	1.52147i
$855$	−0.222609	−	0.975316i	−0.00761308	−	0.0333551i
$856$	1.00033	+	4.38273i	0.0341906	+	0.149799i
$857$	−26.6059	−	33.3628i	−0.908841	−	1.13965i	−0.989733	−	0.142927i	$-0.954348\pi$
$857$	−26.6059	−	33.3628i	−0.908841	−	1.13965i	0.0808925	−	0.996723i	$-0.474223\pi$
$858$	7.81665	+	9.80177i	0.266856	+	0.334627i
$859$	2.84173	+	12.4504i	0.0969585	+	0.424803i	0.999989	−	0.00477425i	$-0.00151970\pi$
$859$	2.84173	+	12.4504i	0.0969585	+	0.424803i	−0.903030	+	0.429577i	$0.858663\pi$
$860$	−0.338544	−	1.48326i	−0.0115443	−	0.0505787i
$861$	2.40911	−	1.72246i	0.0821022	−	0.0587014i
$862$	−12.3308	+	54.0248i	−0.419989	+	1.84009i
$863$	−42.9899			−1.46339			−0.731696	−	0.681631i	$-0.761271\pi$
$863$	−42.9899			−1.46339			−0.731696	+	0.681631i	$0.761271\pi$
$864$	43.5500			1.48160
$865$	0.0155283	−	0.0680341i	0.000527979	−	0.00231323i
$866$	−29.2740	+	14.0976i	−0.994773	+	0.479057i
$867$	−3.30002	−	4.13810i	−0.112075	−	0.140537i
$868$	3.26341	−	0.566603i	0.110767	−	0.0192318i
$869$	−27.1937	+	34.0998i	−0.922484	+	1.15676i
$870$	−0.139375	+	0.610642i	−0.00472525	+	0.0207027i
$871$	−0.718037	+	0.900390i	−0.0243298	+	0.0305086i
$872$	−6.59624	+	3.17658i	−0.223377	+	0.107573i
$873$	−1.65729	−	2.07817i	−0.0560907	−	0.0703355i
$874$	−26.8931	−	12.9510i	−0.909673	−	0.438076i
$875$	2.26310	−	0.392926i	0.0765067	−	0.0132833i
$876$	34.1091	−	16.4261i	1.15244	−	0.554986i
$877$	−1.49471	−	0.719813i	−0.0504727	−	0.0243064i	0.408477	−	0.912769i	$-0.366060\pi$
$877$	−1.49471	−	0.719813i	−0.0504727	−	0.0243064i	−0.458950	+	0.888462i	$0.651774\pi$
$878$	4.11698	+	18.0376i	0.138941	+	0.608741i
$879$	11.0805	+	5.33608i	0.373735	+	0.179981i
$880$	1.03572	−	1.29875i	0.0349142	−	0.0437810i
$881$	−4.29033			−0.144545			−0.0722724	−	0.997385i	$-0.523025\pi$
$881$	−4.29033			−0.144545			−0.0722724	+	0.997385i	$0.523025\pi$
$882$	−24.1133	−	2.54075i	−0.811936	−	0.0855514i
$883$	−7.99478			−0.269046			−0.134523	−	0.990910i	$-0.542950\pi$
$883$	−7.99478			−0.269046			−0.134523	+	0.990910i	$0.542950\pi$
$884$	6.36296	−	7.97890i	0.214009	−	0.268359i
$885$	0.357408	+	0.172119i	0.0120142	+	0.00578571i
$886$	−8.46652	−	37.0942i	−0.284438	−	1.24621i
$887$	5.76752	+	2.77749i	0.193654	+	0.0932591i	0.528198	−	0.849121i	$-0.322868\pi$
$887$	5.76752	+	2.77749i	0.193654	+	0.0932591i	−0.334544	+	0.942380i	$0.608582\pi$
$888$	3.97896	−	1.91617i	0.133525	−	0.0643024i
$889$	−23.0143	−	6.54041i	−0.771874	−	0.219358i
$890$	−2.11069	−	1.01646i	−0.0707506	−	0.0340717i
$891$	3.55554	+	4.45851i	0.119115	+	0.149366i
$892$	−37.5267	+	18.0719i	−1.25649	+	0.605091i
$893$	−13.9415	+	17.4821i	−0.466534	+	0.585015i
$894$	1.25702	−	5.50738i	0.0420411	−	0.184194i
$895$	−1.15102	+	1.44333i	−0.0384742	+	0.0482451i
$896$	0.440264	−	8.37988i	0.0147082	−	0.279952i
$897$	1.52693	+	1.91471i	0.0509826	+	0.0639302i
$898$	32.5603	−	15.6802i	1.08655	−	0.523256i
$899$	0.390595	−	1.71131i	0.0130271	−	0.0570753i
$900$	18.5295			0.617651
$901$	35.5653			1.18485
$902$	2.38607	−	10.4541i	0.0794475	−	0.348082i
$903$	−1.26715	+	24.1186i	−0.0421680	+	0.802615i
$904$	−0.149386	−	0.654502i	−0.00496850	−	0.0217684i
$905$	0.0537526	+	0.235506i	0.00178680	+	0.00782847i
$906$	24.5409	+	30.7733i	0.815317	+	1.02238i
$907$	9.68419	+	12.1436i	0.321558	+	0.403221i	0.916169	−	0.400792i	$-0.131265\pi$
$907$	9.68419	+	12.1436i	0.321558	+	0.403221i	−0.594611	+	0.804014i	$0.702694\pi$
$908$	−11.5534	−	50.6187i	−0.383412	−	1.67984i
$909$	−2.44554	−	10.7146i	−0.0811133	−	0.355380i
$910$	0.452851	+	0.128695i	0.0150119	+	0.00426621i
$911$	4.46259	−	19.5519i	0.147852	−	0.647783i	−0.845627	−	0.533774i	$-0.820773\pi$
$911$	4.46259	−	19.5519i	0.147852	−	0.647783i	0.993480	−	0.114010i	$-0.0363694\pi$
$912$	−27.8294			−0.921522
$913$	6.93274			0.229440
$914$	−6.54836	+	28.6902i	−0.216600	+	0.948989i
$915$	−1.26338	+	0.608414i	−0.0417662	+	0.0201135i
$916$	−21.2919	−	26.6992i	−0.703503	−	0.882165i
$917$	5.48745	+	13.1138i	0.181212	+	0.433055i
$918$	31.8697	−	39.9634i	1.05186	−	1.31899i
$919$	−0.0161262	+	0.0706534i	−0.000531953	+	0.00233064i	−0.975193	−	0.221355i	$-0.928952\pi$
$919$	−0.0161262	+	0.0706534i	−0.000531953	+	0.00233064i	0.974661	+	0.223686i	$0.0718090\pi$
$920$	−0.0461937	+	0.0579250i	−0.00152296	+	0.00190973i
$921$	−27.0234	+	13.0138i	−0.890453	+	0.428819i
$922$	32.5945	+	40.8722i	1.07344	+	1.34605i
$923$	−3.75691	−	1.80923i	−0.123660	−	0.0595516i
$924$	28.9118	−	20.6713i	0.951129	−	0.680037i
$925$	−43.5918	+	20.9927i	−1.43329	+	0.690235i
$926$	54.4778	+	26.2351i	1.79025	+	0.862140i
$927$	3.80278	+	16.6611i	0.124900	+	0.547221i
$928$	−22.4958	−	10.8334i	−0.738462	−	0.355625i
$929$	31.6746	−	39.7187i	1.03921	−	1.30313i	0.0874897	−	0.996165i	$-0.472116\pi$
$929$	31.6746	−	39.7187i	1.03921	−	1.30313i	0.951721	−	0.306964i	$-0.0993131\pi$
$930$	−0.116126			−0.00380793
$931$	47.3943	+	4.99381i	1.55329	+	0.163665i
$932$	−60.1053			−1.96881
$933$	−13.0032	+	16.3055i	−0.425706	+	0.533818i
$934$	25.9182	+	12.4816i	0.848070	+	0.408409i
$935$	−0.481088	−	2.10778i	−0.0157333	−	0.0689319i
$936$	0.606990	+	0.292311i	0.0198401	+	0.00955448i
$937$	−17.5004	+	8.42773i	−0.571712	+	0.275322i	−0.697322	−	0.716758i	$-0.745625\pi$
$937$	−17.5004	+	8.42773i	−0.571712	+	0.275322i	0.125610	+	0.992080i	$0.459911\pi$
$938$	4.66802	+	4.14139i	0.152416	+	0.135221i
$939$	−0.252330	−	0.121515i	−0.00823446	−	0.00396551i
$940$	0.390436	+	0.489591i	0.0127346	+	0.0159687i
$941$	−1.35278	+	0.651467i	−0.0440995	+	0.0212372i	−0.455804	−	0.890080i	$-0.650648\pi$
$941$	−1.35278	+	0.651467i	−0.0440995	+	0.0212372i	0.411704	+	0.911318i	$0.364934\pi$
$942$	13.0946	−	16.4201i	0.426645	−	0.534996i
$943$	0.466102	−	2.04213i	0.0151784	−	0.0665008i
$944$	−8.89168	+	11.1498i	−0.289399	+	0.362895i
$945$	1.18667	+	0.337239i	0.0386024	+	0.0109704i
$946$	54.5224	+	68.3689i	1.77268	+	2.22287i
$947$	43.0807	−	20.7466i	1.39994	−	0.674173i	0.426787	−	0.904352i	$-0.359645\pi$
$947$	43.0807	−	20.7466i	1.39994	−	0.674173i	0.973148	+	0.230179i	$0.0739311\pi$
$948$	4.55345	−	19.9500i	0.147889	−	0.647945i
$949$	−15.0800			−0.489519
$950$	−69.6113			−2.25849
$951$	8.29922	−	36.3613i	0.269121	−	1.17909i
$952$	−3.66628	−	3.25266i	−0.118825	−	0.105419i
$953$	−2.39185	−	10.4794i	−0.0774797	−	0.339461i	0.921300	−	0.388853i	$-0.127129\pi$
$953$	−2.39185	−	10.4794i	−0.0774797	−	0.339461i	−0.998779	+	0.0493924i	$0.984272\pi$
$954$	5.89466	+	25.8262i	0.190847	+	0.836154i
$955$	1.37609	+	1.72556i	0.0445291	+	0.0558378i
$956$	2.21998	+	2.78376i	0.0717992	+	0.0900334i
$957$	−4.19123	−	18.3630i	−0.135483	−	0.593591i
$958$	−4.78254	−	20.9537i	−0.154517	−	0.676982i
$959$	5.38551	+	12.8702i	0.173907	+	0.415599i
$960$	−0.209513	+	0.917938i	−0.00676202	+	0.0296263i
$961$	−30.6746			−0.989502
$962$	−19.8482			−0.639931
$963$	4.24720	−	18.6082i	0.136864	−	0.599641i
$964$	−43.2612	+	20.8335i	−1.39335	+	0.671002i
$965$	0.440930	+	0.552908i	0.0141940	+	0.0177987i
$966$	10.7949	−	7.71811i	0.347320	−	0.248326i
$967$	31.3648	−	39.3302i	1.00862	−	1.26477i	0.0445873	−	0.999005i	$-0.485803\pi$
$967$	31.3648	−	39.3302i	1.00862	−	1.26477i	0.964037	−	0.265769i	$-0.0856259\pi$
$968$	1.56292	−	6.84758i	0.0502340	−	0.220090i
$969$	−22.5825	+	28.3176i	−0.725456	+	0.909693i
$970$	0.251962	−	0.121338i	0.00809000	−	0.00389594i
$971$	−26.8846	−	33.7122i	−0.862768	−	1.08188i	−0.995871	−	0.0907748i	$-0.971066\pi$
$971$	−26.8846	−	33.7122i	−0.862768	−	1.08188i	0.133103	−	0.991102i	$-0.457506\pi$
$972$	29.4227	+	14.1692i	0.943734	+	0.454478i
$973$	7.42795	−	13.5552i	0.238129	−	0.434560i
$974$	10.9431	−	5.26992i	0.350640	−	0.168859i
$975$	5.14573	+	2.47805i	0.164795	+	0.0793612i
$976$	−11.2175	−	49.1471i	−0.359063	−	1.57316i
$977$	−38.2135	−	18.4027i	−1.22256	−	0.588753i	−0.292536	−	0.956255i	$-0.594499\pi$
$977$	−38.2135	−	18.4027i	−1.22256	−	0.588753i	−0.930023	+	0.367501i	$0.880213\pi$
$978$	25.1025	−	31.4776i	0.802690	−	1.00654i
$979$	70.4485			2.25155
$980$	0.431698	−	1.26290i	0.0137901	−	0.0403417i
$981$	31.0847			0.992457
$982$	24.3819	−	30.5739i	0.778056	−	0.975652i
$983$	40.5078	+	19.5075i	1.29200	+	0.622193i	0.948445	−	0.316941i	$-0.102656\pi$
$983$	40.5078	+	19.5075i	1.29200	+	0.622193i	0.343552	+	0.939134i	$0.388370\pi$
$984$	0.0992190	+	0.434707i	0.00316299	+	0.0138579i
$985$	0.393552	+	0.189525i	0.0125396	+	0.00603876i
$986$	−26.4036	+	12.7153i	−0.840862	+	0.404938i
$987$	−3.83735	−	9.17040i	−0.122144	−	0.291897i
$988$	−13.4608	−	6.48238i	−0.428245	−	0.206232i
$989$	10.6506	+	13.3554i	0.338668	+	0.424676i
$990$	1.45086	−	0.698696i	0.0461113	−	0.0222060i
$991$	17.4385	−	21.8672i	0.553952	−	0.694634i	−0.423475	−	0.905908i	$-0.639190\pi$
$991$	17.4385	−	21.8672i	0.553952	−	0.694634i	0.977427	+	0.211274i	$0.0677612\pi$
$992$	1.03010	−	4.51317i	0.0327058	−	0.143293i
$993$	16.2337	−	20.3564i	0.515161	−	0.645992i
$994$	−10.8581	+	19.8149i	−0.344398	+	0.628490i
$995$	−0.498840	−	0.625526i	−0.0158143	−	0.0198305i
$996$	−2.93053	+	1.41127i	−0.0928573	+	0.0447177i
$997$	−7.89256	+	34.5796i	−0.249960	+	1.09515i	0.681648	+	0.731681i	$0.261264\pi$
$997$	−7.89256	+	34.5796i	−0.249960	+	1.09515i	−0.931608	+	0.363466i	$0.881593\pi$
$998$	−55.7887			−1.76596
$999$	−52.0110			−1.64556

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.a.92.6	✓	162
49.8	even	7	inner	637.2.w.a.547.6	yes	162

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.a.92.6	✓	162	1.1	even	1	trivial
637.2.w.a.547.6	yes	162	49.8	even	7	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:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.w (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.27694 + 1.60123i) q^{2} +(1.03070 + 0.496360i) q^{3} +(-0.488322 - 2.13948i) q^{4} +(-0.0782783 - 0.0376968i) q^{5} +(-2.11093 + 1.01657i) q^{6} +(0.138811 - 2.64211i) q^{7} +(0.358894 + 0.172834i) q^{8} +(-1.05450 - 1.32230i) q^{9} +O(q^{10})\)	\(q+(-1.27694 + 1.60123i) q^{2} +(1.03070 + 0.496360i) q^{3} +(-0.488322 - 2.13948i) q^{4} +(-0.0782783 - 0.0376968i) q^{5} +(-2.11093 + 1.01657i) q^{6} +(0.138811 - 2.64211i) q^{7} +(0.358894 + 0.172834i) q^{8} +(-1.05450 - 1.32230i) q^{9} +(0.160318 - 0.0772049i) q^{10} +(-3.33624 + 4.18351i) q^{11} +(0.558637 - 2.44755i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(4.05336 + 3.59607i) q^{14} +(-0.0619704 - 0.0777084i) q^{15} +(3.21932 - 1.55034i) q^{16} +(1.03482 - 4.53385i) q^{17} +3.46382 q^{18} -6.80810 q^{19} +(-0.0424265 + 0.185883i) q^{20} +(1.45451 - 2.65433i) q^{21} +(-2.43859 - 10.6842i) q^{22} +(-0.476361 - 2.08708i) q^{23} +(0.284125 + 0.356281i) q^{24} +(-3.11274 - 3.90326i) q^{25} +(-0.455733 - 1.99670i) q^{26} +(-1.19422 - 5.23223i) q^{27} +(-5.72051 + 0.993215i) q^{28} +(-0.684684 + 2.99980i) q^{29} +0.203561 q^{30} -0.570474 q^{31} +(-1.80569 + 7.91126i) q^{32} +(-5.51520 + 2.65598i) q^{33} +(5.93832 + 7.44642i) q^{34} +(-0.110465 + 0.201587i) q^{35} +(-2.31409 + 2.90178i) q^{36} +(2.15651 - 9.44829i) q^{37} +(8.69351 - 10.9013i) q^{38} +(-1.03070 + 0.496360i) q^{39} +(-0.0215783 - 0.0270583i) q^{40} +(0.881565 + 0.424539i) q^{41} +(2.39286 + 5.71841i) q^{42} +(-7.18931 + 3.46219i) q^{43} +(10.5797 + 5.09491i) q^{44} +(0.0326977 + 0.143258i) q^{45} +(3.95017 + 1.90230i) q^{46} +(2.04778 - 2.56783i) q^{47} +4.08769 q^{48} +(-6.96146 - 0.733510i) q^{49} +10.2248 q^{50} +(3.31701 - 4.15940i) q^{51} +(1.97717 + 0.952157i) q^{52} +(1.70178 + 7.45599i) q^{53} +(9.90295 + 4.76901i) q^{54} +(0.418860 - 0.201712i) q^{55} +(0.506465 - 0.924244i) q^{56} +(-7.01712 - 3.37927i) q^{57} +(-3.92906 - 4.92688i) q^{58} +(-3.59592 + 1.73170i) q^{59} +(-0.135994 + 0.170531i) q^{60} +(3.13936 - 13.7545i) q^{61} +(0.728460 - 0.913459i) q^{62} +(-3.64002 + 2.60254i) q^{63} +(-5.90630 - 7.40627i) q^{64} +(0.0782783 - 0.0376968i) q^{65} +(2.78973 - 12.2226i) q^{66} +1.15164 q^{67} -10.2054 q^{68} +(0.544954 - 2.38760i) q^{69} +(-0.181730 - 0.434293i) q^{70} +(0.927880 + 4.06531i) q^{71} +(-0.149914 - 0.656816i) q^{72} +(9.40225 + 11.7900i) q^{73} +(12.3751 + 15.5179i) q^{74} +(-1.27089 - 5.56813i) q^{75} +(3.32454 + 14.5658i) q^{76} +(10.5902 + 9.39543i) q^{77} +(0.521356 - 2.28421i) q^{78} +8.15101 q^{79} -0.310446 q^{80} +(0.237148 - 1.03901i) q^{81} +(-1.80549 + 0.869476i) q^{82} +(-0.807805 - 1.01296i) q^{83} +(-6.38914 - 1.81573i) q^{84} +(-0.251916 + 0.315892i) q^{85} +(3.63654 - 15.9327i) q^{86} +(-2.19468 + 2.75205i) q^{87} +(-1.92041 + 0.924820i) q^{88} +(-8.20868 - 10.2934i) q^{89} +(-0.271142 - 0.130575i) q^{90} +(1.97914 + 1.75585i) q^{91} +(-4.23263 + 2.03833i) q^{92} +(-0.587989 - 0.283161i) q^{93} +(1.49680 + 6.55792i) q^{94} +(0.532926 + 0.256644i) q^{95} +(-5.78797 + 7.25788i) q^{96} +1.57164 q^{97} +(10.0639 - 10.2102i) q^{98} +9.04989 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * q^99

Introduction

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