LMFDB - Embedded newform 552.2.x.a.35.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [552,2,Mod(35,552)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(552, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 11, 20]))

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

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

chi := DirichletCharacter("552.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 552 = 2^{3} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	552.x (of order $22$, degree $10$, 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:	$4.40774219157$
Analytic rank:	$0$
Dimension:	$920$
Relative dimension:	$92$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			35.11
Character	$\chi$	$=$	552.35
Dual form			552.2.x.a.347.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.29176 + 0.575639i) q^{2} +(-1.36388 - 1.06763i) q^{3} +(1.33728 - 1.48717i) q^{4} +(2.50603 - 0.735837i) q^{5} +(2.37637 + 0.594013i) q^{6} +(-0.0911016 + 0.0789400i) q^{7} +(-0.871368 + 2.69086i) q^{8} +(0.720344 + 2.91223i) q^{9} +O(q^{10})$	\(q+(-1.29176 + 0.575639i) q^{2} +(-1.36388 - 1.06763i) q^{3} +(1.33728 - 1.48717i) q^{4} +(2.50603 - 0.735837i) q^{5} +(2.37637 + 0.594013i) q^{6} +(-0.0911016 + 0.0789400i) q^{7} +(-0.871368 + 2.69086i) q^{8} +(0.720344 + 2.91223i) q^{9} +(-2.81361 + 2.39309i) q^{10} +(-2.93471 + 4.56650i) q^{11} +(-3.41164 + 0.600611i) q^{12} +(2.22382 + 1.92696i) q^{13} +(0.0722403 - 0.154413i) q^{14} +(-4.20353 - 1.67191i) q^{15} +(-0.423366 - 3.97753i) q^{16} +(3.01044 - 1.37482i) q^{17} +(-2.60691 - 3.34724i) q^{18} +(-1.99954 + 4.37837i) q^{19} +(2.25695 - 4.71092i) q^{20} +(0.208530 - 0.0104022i) q^{21} +(1.16228 - 7.58815i) q^{22} +(0.661223 + 4.75003i) q^{23} +(4.06128 - 2.73972i) q^{24} +(1.53247 - 0.984860i) q^{25} +(-3.98188 - 1.20904i) q^{26} +(2.12672 - 4.74100i) q^{27} +(-0.00443091 + 0.241049i) q^{28} +(-2.74870 - 6.01881i) q^{29} +(6.39236 - 0.260008i) q^{30} +(5.88371 - 0.845950i) q^{31} +(2.83651 + 4.89430i) q^{32} +(8.87792 - 3.09499i) q^{33} +(-3.09736 + 3.50886i) q^{34} +(-0.170216 + 0.264862i) q^{35} +(5.29430 + 2.82319i) q^{36} +(-1.74986 + 5.95949i) q^{37} +(0.0625554 - 6.80681i) q^{38} +(-0.975763 - 5.00235i) q^{39} +(-0.203641 + 7.38456i) q^{40} +(-0.962311 - 3.27733i) q^{41} +(-0.263383 + 0.133475i) q^{42} +(-1.06749 + 7.42458i) q^{43} +(2.86665 + 10.4711i) q^{44} +(3.94814 + 6.76809i) q^{45} +(-3.58844 - 5.75527i) q^{46} +12.7439 q^{47} +(-3.66910 + 5.87688i) q^{48} +(-0.994136 + 6.91437i) q^{49} +(-1.41266 + 2.15435i) q^{50} +(-5.57368 - 1.33893i) q^{51} +(5.83959 - 0.730334i) q^{52} +(5.32883 + 6.14980i) q^{53} +(-0.0180980 + 7.34845i) q^{54} +(-3.99428 + 13.6033i) q^{55} +(-0.133033 - 0.313927i) q^{56} +(7.40160 - 3.83682i) q^{57} +(7.01532 + 6.19259i) q^{58} +(-7.85891 - 6.80978i) q^{59} +(-8.10772 + 4.01556i) q^{60} +(1.25504 - 0.180447i) q^{61} +(-7.11337 + 4.47966i) q^{62} +(-0.295516 - 0.208445i) q^{63} +(-6.48144 - 4.68945i) q^{64} +(6.99090 + 3.19264i) q^{65} +(-9.68653 + 9.10845i) q^{66} +(4.70487 - 3.02363i) q^{67} +(1.98120 - 6.31557i) q^{68} +(4.16943 - 7.18442i) q^{69} +(0.0674137 - 0.440121i) q^{70} +(-0.339930 + 0.218460i) q^{71} +(-8.46409 - 0.599281i) q^{72} +(2.12472 - 4.65249i) q^{73} +(-1.17011 - 8.70550i) q^{74} +(-3.14157 - 0.292877i) q^{75} +(3.83746 + 8.82876i) q^{76} +(-0.0931226 - 0.647682i) q^{77} +(4.14000 + 5.90015i) q^{78} +(3.21408 + 2.78502i) q^{79} +(-3.98779 - 9.65629i) q^{80} +(-7.96221 + 4.19562i) q^{81} +(3.12963 + 3.67957i) q^{82} +(4.40898 - 15.0156i) q^{83} +(0.263393 - 0.324031i) q^{84} +(6.53261 - 5.66054i) q^{85} +(-2.89493 - 10.2053i) q^{86} +(-2.67695 + 11.1435i) q^{87} +(-9.73060 - 11.8760i) q^{88} +(4.46267 + 0.641635i) q^{89} +(-8.99602 - 6.47004i) q^{90} -0.354708 q^{91} +(7.94836 + 5.36877i) q^{92} +(-8.92784 - 5.12784i) q^{93} +(-16.4621 + 7.33591i) q^{94} +(-1.78913 + 12.4437i) q^{95} +(1.35663 - 9.70358i) q^{96} +(1.19514 - 0.350923i) q^{97} +(-2.69600 - 9.50396i) q^{98} +(-15.4127 - 5.25711i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 920 q - 18 q^{3} - 14 q^{4} - 16 q^{6} - 18 q^{9}+O(q^{10}) $ 920 * q - 18 * q^3 - 14 * q^4 - 16 * q^6 - 18 * q^9	$ 920 q - 18 q^{3} - 14 q^{4} - 16 q^{6} - 18 q^{9} - 14 q^{10} - 6 q^{12} - 30 q^{16} - 16 q^{18} - 52 q^{19} - 32 q^{22} - 26 q^{24} - 112 q^{25} - 30 q^{27} - 34 q^{28} + 11 q^{30} - 30 q^{33} - 88 q^{34} - 18 q^{36} + 124 q^{40} - 3 q^{42} - 36 q^{43} - 110 q^{46} + 32 q^{49} - 30 q^{51} + 90 q^{52} - 39 q^{54} - 6 q^{57} - 68 q^{58} + 13 q^{60} + 28 q^{64} - 46 q^{66} - 100 q^{67} - 92 q^{70} + 29 q^{72} - 36 q^{73} + 14 q^{75} - 50 q^{76} - 86 q^{78} - 2 q^{81} - 12 q^{82} - 151 q^{84} - 42 q^{88} - 196 q^{90} - 136 q^{91} - 68 q^{94} - 175 q^{96} - 36 q^{97} - 54 q^{99}+O(q^{100}) $ 920 * q - 18 * q^3 - 14 * q^4 - 16 * q^6 - 18 * q^9 - 14 * q^10 - 6 * q^12 - 30 * q^16 - 16 * q^18 - 52 * q^19 - 32 * q^22 - 26 * q^24 - 112 * q^25 - 30 * q^27 - 34 * q^28 + 11 * q^30 - 30 * q^33 - 88 * q^34 - 18 * q^36 + 124 * q^40 - 3 * q^42 - 36 * q^43 - 110 * q^46 + 32 * q^49 - 30 * q^51 + 90 * q^52 - 39 * q^54 - 6 * q^57 - 68 * q^58 + 13 * q^60 + 28 * q^64 - 46 * q^66 - 100 * q^67 - 92 * q^70 + 29 * q^72 - 36 * q^73 + 14 * q^75 - 50 * q^76 - 86 * q^78 - 2 * q^81 - 12 * q^82 - 151 * q^84 - 42 * q^88 - 196 * q^90 - 136 * q^91 - 68 * q^94 - 175 * q^96 - 36 * q^97 - 54 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/552\mathbb{Z}\right)^\times$.

$n$	$97$	$185$	$277$	$415$
$\chi(n)$	$e\left(\frac{10}{11}\right)$	$-1$	$-1$	$-1$

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 $

$2$	−1.29176	+	0.575639i	−0.913411	+	0.407038i
$2$	−1.29176	+	0.575639i	−0.913411	+	0.407038i
$3$	−1.36388	−	1.06763i	−0.787437	−	0.616395i
$3$	−1.36388	−	1.06763i	−0.787437	−	0.616395i
$4$	1.33728	−	1.48717i	0.668640	−	0.743586i
$5$	2.50603	−	0.735837i	1.12073	−	0.329077i	0.331673	−	0.943394i	$-0.392387\pi$
$5$	2.50603	−	0.735837i	1.12073	−	0.329077i	0.789059	+	0.614318i	$0.210569\pi$
$6$	2.37637	+	0.594013i	0.970150	+	0.242505i
$7$	−0.0911016	+	0.0789400i	−0.0344332	+	0.0298365i	−0.671907	−	0.740635i	$-0.734525\pi$
$7$	−0.0911016	+	0.0789400i	−0.0344332	+	0.0298365i	0.637474	+	0.770472i	$0.279979\pi$
$8$	−0.871368	+	2.69086i	−0.308075	+	0.951362i
$9$	0.720344	+	2.91223i	0.240115	+	0.970744i
$10$	−2.81361	+	2.39309i	−0.889742	+	0.756763i
$11$	−2.93471	+	4.56650i	−0.884849	+	1.37685i	0.0410804	+	0.999156i	$0.486920\pi$
$11$	−2.93471	+	4.56650i	−0.884849	+	1.37685i	−0.925930	+	0.377696i	$0.876716\pi$
$12$	−3.41164	+	0.600611i	−0.984855	+	0.173382i
$13$	2.22382	+	1.92696i	0.616778	+	0.534441i	0.906248	−	0.422746i	$-0.138934\pi$
$13$	2.22382	+	1.92696i	0.616778	+	0.534441i	−0.289470	+	0.957187i	$0.593479\pi$
$14$	0.0722403	−	0.154413i	0.0193070	−	0.0412686i
$15$	−4.20353	−	1.67191i	−1.08535	−	0.431686i
$16$	−0.423366	−	3.97753i	−0.105842	−	0.994383i
$17$	3.01044	−	1.37482i	0.730139	−	0.333443i	−0.0154217	−	0.999881i	$-0.504909\pi$
$17$	3.01044	−	1.37482i	0.730139	−	0.333443i	0.745561	+	0.666438i	$0.232182\pi$
$18$	−2.60691	−	3.34724i	−0.614454	−	0.788953i
$19$	−1.99954	+	4.37837i	−0.458725	+	1.00447i	0.529052	+	0.848590i	$0.322548\pi$
$19$	−1.99954	+	4.37837i	−0.458725	+	1.00447i	−0.987776	+	0.155878i	$0.950179\pi$
$20$	2.25695	−	4.71092i	0.504669	−	1.05339i
$21$	0.208530	−	0.0104022i	0.0455050	−	0.00226995i
$22$	1.16228	−	7.58815i	0.247800	−	1.61780i
$23$	0.661223	+	4.75003i	0.137874	+	0.990450i
$23$	0.661223	+	4.75003i	0.137874	+	0.990450i
$24$	4.06128	−	2.73972i	0.829004	−	0.559242i
$25$	1.53247	−	0.984860i	0.306495	−	0.196972i
$26$	−3.98188	−	1.20904i	−0.780910	−	0.237112i
$27$	2.12672	−	4.74100i	0.409287	−	0.912406i
$28$	−0.00443091	+	0.241049i	−0.000837363	+	0.0455539i
$29$	−2.74870	−	6.01881i	−0.510420	−	1.11766i	−0.972940	−	0.231056i	$-0.925782\pi$
$29$	−2.74870	−	6.01881i	−0.510420	−	1.11766i	0.462520	−	0.886609i	$-0.346945\pi$
$30$	6.39236	−	0.260008i	1.16708	−	0.0474707i
$31$	5.88371	−	0.845950i	1.05675	−	0.151937i	0.408031	−	0.912968i	$-0.366216\pi$
$31$	5.88371	−	0.845950i	1.05675	−	0.151937i	0.648715	+	0.761031i	$0.275307\pi$
$32$	2.83651	+	4.89430i	0.501429	+	0.865199i
$33$	8.87792	−	3.09499i	1.54545	−	0.538768i
$34$	−3.09736	+	3.50886i	−0.531193	+	0.601765i
$35$	−0.170216	+	0.264862i	−0.0287718	+	0.0447699i
$36$	5.29430	+	2.82319i	0.882383	+	0.470532i
$37$	−1.74986	+	5.95949i	−0.287676	+	0.979733i	0.681182	+	0.732114i	$0.261466\pi$
$37$	−1.74986	+	5.95949i	−0.287676	+	0.979733i	−0.968857	+	0.247619i	$0.920352\pi$
$38$	0.0625554	−	6.80681i	0.0101478	−	1.10421i
$39$	−0.975763	−	5.00235i	−0.156247	−	0.801018i
$40$	−0.203641	+	7.38456i	−0.0321985	+	1.16760i
$41$	−0.962311	−	3.27733i	−0.150288	−	0.511833i	0.849590	−	0.527443i	$-0.176849\pi$
$41$	−0.962311	−	3.27733i	−0.150288	−	0.511833i	−0.999878	+	0.0156100i	$0.995031\pi$
$42$	−0.263383	+	0.133475i	−0.0406408	+	0.0205957i
$43$	−1.06749	+	7.42458i	−0.162791	+	1.13224i	0.730550	+	0.682859i	$0.239264\pi$
$43$	−1.06749	+	7.42458i	−0.162791	+	1.13224i	−0.893341	+	0.449379i	$0.851645\pi$
$44$	2.86665	+	10.4711i	0.432163	+	1.57858i
$45$	3.94814	+	6.76809i	0.588553	+	1.00893i
$46$	−3.58844	−	5.75527i	−0.529087	−	0.848568i
$47$	12.7439			1.85890			0.929448	−	0.368953i	$-0.120284\pi$
$47$	12.7439			1.85890			0.929448	+	0.368953i	$0.120284\pi$
$48$	−3.66910	+	5.87688i	−0.529589	+	0.848254i
$49$	−0.994136	+	6.91437i	−0.142019	+	0.987767i
$50$	−1.41266	+	2.15435i	−0.199780	+	0.304671i
$51$	−5.57368	−	1.33893i	−0.780471	−	0.187488i
$52$	5.83959	−	0.730334i	0.809806	−	0.101279i
$53$	5.32883	+	6.14980i	0.731971	+	0.844740i	0.992692	−	0.120674i	$-0.0385056\pi$
$53$	5.32883	+	6.14980i	0.731971	+	0.844740i	−0.260721	+	0.965414i	$0.583960\pi$
$54$	−0.0180980	+	7.34845i	−0.00246283	+	0.999997i
$55$	−3.99428	+	13.6033i	−0.538589	+	1.83426i
$56$	−0.133033	−	0.313927i	−0.0177773	−	0.0419503i
$57$	7.40160	−	3.83682i	0.980366	−	0.508199i
$58$	7.01532	+	6.19259i	0.921156	+	0.813127i
$59$	−7.85891	−	6.80978i	−1.02314	−	0.886558i	−0.0295481	−	0.999563i	$-0.509407\pi$
$59$	−7.85891	−	6.80978i	−1.02314	−	0.886558i	−0.993594	+	0.113005i	$0.963952\pi$
$60$	−8.10772	+	4.01556i	−1.04670	+	0.518407i
$61$	1.25504	−	0.180447i	0.160691	−	0.0231039i	−0.0614996	−	0.998107i	$-0.519588\pi$
$61$	1.25504	−	0.180447i	0.160691	−	0.0231039i	0.222191	+	0.975003i	$0.428679\pi$
$62$	−7.11337	+	4.47966i	−0.903399	+	0.568917i
$63$	−0.295516	−	0.208445i	−0.0372315	−	0.0262616i
$64$	−6.48144	−	4.68945i	−0.810180	−	0.586182i
$65$	6.99090	+	3.19264i	0.867115	+	0.395998i
$66$	−9.68653	+	9.10845i	−1.19233	+	1.12117i
$67$	4.70487	−	3.02363i	0.574791	−	0.369396i	−0.220718	−	0.975338i	$-0.570840\pi$
$67$	4.70487	−	3.02363i	0.574791	−	0.369396i	0.795509	+	0.605942i	$0.207204\pi$
$68$	1.98120	−	6.31557i	0.240256	−	0.765875i
$69$	4.16943	−	7.18442i	0.501941	−	0.864902i
$70$	0.0674137	−	0.440121i	0.00805748	−	0.0526045i
$71$	−0.339930	+	0.218460i	−0.0403423	+	0.0259264i	−0.560657	−	0.828048i	$-0.689451\pi$
$71$	−0.339930	+	0.218460i	−0.0403423	+	0.0259264i	0.520314	+	0.853975i	$0.325815\pi$
$72$	−8.46409	−	0.599281i	−0.997503	−	0.0706260i
$73$	2.12472	−	4.65249i	0.248680	−	0.544533i	−0.743589	−	0.668637i	$-0.766878\pi$
$73$	2.12472	−	4.65249i	0.248680	−	0.544533i	0.992269	+	0.124103i	$0.0396054\pi$
$74$	−1.17011	−	8.70550i	−0.136023	−	1.01199i
$75$	−3.14157	−	0.292877i	−0.362758	−	0.0338185i
$76$	3.83746	+	8.82876i	0.440187	+	1.01273i
$77$	−0.0931226	−	0.647682i	−0.0106123	−	0.0738102i
$78$	4.14000	+	5.90015i	0.468763	+	0.668060i
$79$	3.21408	+	2.78502i	0.361612	+	0.313339i	0.816650	−	0.577133i	$-0.195829\pi$
$79$	3.21408	+	2.78502i	0.361612	+	0.313339i	−0.455038	+	0.890472i	$0.650374\pi$
$80$	−3.98779	−	9.65629i	−0.445848	−	1.07961i
$81$	−7.96221	+	4.19562i	−0.884690	+	0.466180i
$82$	3.12963	+	3.67957i	0.345610	+	0.406341i
$83$	4.40898	−	15.0156i	0.483949	−	1.64818i	−0.249457	−	0.968386i	$-0.580252\pi$
$83$	4.40898	−	15.0156i	0.483949	−	1.64818i	0.733405	−	0.679792i	$-0.237930\pi$
$84$	0.263393	−	0.324031i	0.0287386	−	0.0353547i
$85$	6.53261	−	5.66054i	0.708561	−	0.613972i
$86$	−2.89493	−	10.2053i	−0.312169	−	1.10046i
$87$	−2.67695	+	11.1435i	−0.286999	+	1.19471i
$88$	−9.73060	−	11.8760i	−1.03729	−	1.26599i
$89$	4.46267	+	0.641635i	0.473042	+	0.0680131i	0.374713	−	0.927141i	$-0.377741\pi$
$89$	4.46267	+	0.641635i	0.473042	+	0.0680131i	0.0983287	+	0.995154i	$0.468650\pi$
$90$	−8.99602	−	6.47004i	−0.948264	−	0.682002i
$91$	−0.354708			−0.0371835
$92$	7.94836	+	5.36877i	0.828673	+	0.559733i
$93$	−8.92784	−	5.12784i	−0.925774	−	0.531732i
$94$	−16.4621	+	7.33591i	−1.69794	+	0.756642i
$95$	−1.78913	+	12.4437i	−0.183561	+	1.27669i
$96$	1.35663	−	9.70358i	0.138461	−	0.990368i
$97$	1.19514	−	0.350923i	0.121348	−	0.0356309i	−0.220495	−	0.975388i	$-0.570767\pi$
$97$	1.19514	−	0.350923i	0.121348	−	0.0356309i	0.341843	+	0.939757i	$0.388949\pi$
$98$	−2.69600	−	9.50396i	−0.272337	−	0.960044i
$99$	−15.4127	−	5.25711i	−1.54904	−	0.528360i
$100$	0.584687	−	3.59609i	0.0584687	−	0.359609i
$101$	4.89600	+	1.43760i	0.487171	+	0.143046i	0.516088	−	0.856536i	$-0.327388\pi$
$101$	4.89600	+	1.43760i	0.487171	+	0.143046i	−0.0289173	+	0.999582i	$0.509206\pi$
$102$	7.97059	−	1.47885i	0.789206	−	0.146428i
$103$	5.60484	−	8.72130i	0.552261	−	0.859335i	−0.447121	−	0.894473i	$-0.647551\pi$
$103$	5.60484	−	8.72130i	0.552261	−	0.859335i	0.999382	+	0.0351381i	$0.0111871\pi$
$104$	−7.12293	+	4.30491i	−0.698461	+	0.422131i
$105$	0.514929	−	0.179513i	0.0502519	−	0.0175186i
$106$	−10.4236	−	4.87657i	−1.01243	−	0.473655i
$107$	−15.7460	+	2.26393i	−1.52222	+	0.218863i	−0.852097	−	0.523385i	$-0.824669\pi$
$107$	−15.7460	+	2.26393i	−1.52222	+	0.218863i	−0.670126	+	0.742247i	$0.733760\pi$
$108$	−4.20667	−	9.50284i	−0.404787	−	0.914411i
$109$	−5.55311	+	2.53602i	−0.531892	+	0.242907i	−0.663210	−	0.748433i	$-0.730806\pi$
$109$	−5.55311	+	2.53602i	−0.531892	+	0.242907i	0.131318	+	0.991340i	$0.458079\pi$
$110$	−2.67093	−	19.8714i	−0.254663	−	1.89466i
$111$	8.74911	−	6.25983i	0.830429	−	0.594157i
$112$	0.352556	+	0.328939i	0.0333134	+	0.0310818i
$113$	6.32527	+	9.84231i	0.595031	+	0.925886i	0.999934	+	0.0115265i	$0.00366907\pi$
$113$	6.32527	+	9.84231i	0.595031	+	0.925886i	−0.404903	+	0.914360i	$0.632695\pi$
$114$	−7.35245	+	9.21689i	−0.688620	+	0.863241i
$115$	5.15230	+	11.4172i	0.480454	+	1.06466i
$116$	−12.6268	−	3.96104i	−1.17237	−	0.367774i
$117$	−4.00982	+	7.86437i	−0.370708	+	0.727061i
$118$	14.0718	+	4.27270i	1.29541	+	0.393334i
$119$	−0.165727	+	0.362892i	−0.0151922	+	0.0332663i
$120$	8.16170	−	9.85425i	0.745058	−	0.899566i
$121$	−7.67084	−	16.7968i	−0.697349	−	1.52698i
$122$	−1.51734	+	0.955544i	−0.137373	+	0.0865109i
$123$	−2.18649	+	5.49728i	−0.197149	+	0.495673i
$124$	6.61009	−	9.88137i	0.593604	−	0.887373i
$125$	−5.43619	+	6.27370i	−0.486228	+	0.561137i
$126$	0.501725	+	0.0991501i	0.0446972	+	0.00883299i
$127$	2.52980	−	3.93645i	0.224483	−	0.349303i	−0.710683	−	0.703513i	$-0.751614\pi$
$127$	2.52980	−	3.93645i	0.224483	−	0.349303i	0.935166	+	0.354210i	$0.115250\pi$
$128$	11.0719	+	2.32667i	0.978625	+	0.205651i
$129$	9.38262	−	8.98656i	0.826094	−	0.791223i
$130$	−10.8684	−	0.0998817i	−0.953219	−	0.00876020i
$131$	12.9895	−	11.2554i	1.13489	−	0.983391i	0.134922	−	0.990856i	$-0.456922\pi$
$131$	12.9895	−	11.2554i	1.13489	−	0.983391i	0.999972	+	0.00746525i	$0.00237629\pi$
$132$	7.26948	−	17.3419i	0.632727	−	1.50942i
$133$	−0.163468	−	0.556720i	−0.0141744	−	0.0482737i
$134$	−4.33703	+	6.61411i	−0.374662	+	0.571372i
$135$	1.84101	−	13.4460i	0.158449	−	1.15725i
$136$	1.07625	+	9.29864i	0.0922877	+	0.797352i
$137$			15.7584i			1.34633i	0.739492	+	0.673165i	$0.235066\pi$
$137$			15.7584i			1.34633i	−0.739492	+	0.673165i	$0.764934\pi$
$138$	−1.25027	+	11.6806i	−0.106430	+	0.994320i
$139$	−3.01648			−0.255854			−0.127927	−	0.991784i	$-0.540832\pi$
$139$	−3.01648			−0.255854			−0.127927	+	0.991784i	$0.540832\pi$
$140$	0.166269	+	0.607336i	0.0140523	+	0.0513293i
$141$	−17.3812	−	13.6058i	−1.46376	−	1.14581i
$142$	0.313354	−	0.477874i	0.0262960	−	0.0401023i
$143$	−15.3257	+	4.50004i	−1.28160	+	0.376312i
$144$	11.2785	−	4.09813i	0.939878	−	0.341511i
$145$	−11.3172	−	13.0607i	−0.939842	−	1.08464i
$146$	−0.0664719	+	7.23297i	−0.00550126	+	0.598605i
$147$	8.73785	−	8.36901i	0.720686	−	0.690264i
$148$	6.52273	+	10.5718i	0.536165	+	0.869000i
$149$	−8.32263	−	5.34863i	−0.681816	−	0.438177i	0.153352	−	0.988172i	$-0.450993\pi$
$149$	−8.32263	−	5.34863i	−0.681816	−	0.438177i	−0.835168	+	0.549995i	$0.814630\pi$
$150$	4.22675	−	1.43009i	0.345112	−	0.116766i
$151$	−2.69803	−	2.33786i	−0.219563	−	0.190252i	0.538133	−	0.842860i	$-0.319130\pi$
$151$	−2.69803	−	2.33786i	−0.219563	−	0.190252i	−0.757696	+	0.652607i	$0.773675\pi$
$152$	−10.0392	−	9.19564i	−0.814290	−	0.745865i
$153$	6.17236	+	7.77676i	0.499005	+	0.628714i
$154$	0.493123	+	0.783043i	0.0397370	+	0.0630994i
$155$	14.1223	−	6.44943i	1.13433	−	0.518031i
$156$	−8.74423	−	5.23842i	−0.700099	−	0.419409i
$157$	−7.24593	−	3.30910i	−0.578288	−	0.264095i	0.104725	−	0.994501i	$-0.466604\pi$
$157$	−7.24593	−	3.30910i	−0.578288	−	0.264095i	−0.683013	+	0.730406i	$0.739331\pi$
$158$	−5.75498	−	1.74742i	−0.457842	−	0.139017i
$159$	−0.702201	−	14.0768i	−0.0556882	−	1.11636i
$160$	10.7098	+	10.1781i	0.846684	+	0.804647i
$161$	−0.435206	−	0.380538i	−0.0342990	−	0.0299906i
$162$	7.87009	−	10.0031i	0.618332	−	0.785917i
$163$	−6.73861	+	4.33064i	−0.527808	+	0.339202i	−0.777254	−	0.629187i	$-0.783388\pi$
$163$	−6.73861	+	4.33064i	−0.527808	+	0.339202i	0.249446	+	0.968389i	$0.419752\pi$
$164$	−6.16083	−	2.95158i	−0.481080	−	0.230480i
$165$	19.9709	−	14.2888i	1.55474	−	1.11239i
$166$	2.94823	+	21.9345i	0.228827	+	1.70245i
$167$	0.686059	+	1.50226i	0.0530889	+	0.116248i	0.934317	−	0.356442i	$-0.116010\pi$
$167$	0.686059	+	1.50226i	0.0530889	+	0.116248i	−0.881229	+	0.472690i	$0.843283\pi$
$168$	−0.153716	+	0.570189i	−0.0118594	+	0.0439911i
$169$	−0.617852	−	4.29726i	−0.0475271	−	0.330558i
$170$	−5.18013	+	11.0725i	−0.397298	+	0.849220i
$171$	−14.1912	−	2.66918i	−1.08523	−	0.204117i
$172$	9.61410	+	11.5163i	0.733068	+	0.878109i
$173$	5.37801	+	3.45623i	0.408882	+	0.262773i	0.728874	−	0.684648i	$-0.240044\pi$
$173$	5.37801	+	3.45623i	0.408882	+	0.262773i	−0.319992	+	0.947420i	$0.603680\pi$
$174$	−2.95668	−	15.9357i	−0.224145	−	1.20808i
$175$	−0.0618658	+	0.210696i	−0.00467662	+	0.0159271i
$176$	19.4059	+	9.73961i	1.46277	+	0.734151i
$177$	3.44831	+	17.6781i	0.259191	+	1.32877i
$178$	−6.13404	+	1.74005i	−0.459766	+	0.130422i
$179$	1.07136	+	3.64871i	0.0800770	+	0.272717i	0.989793	−	0.142514i	$-0.0455187\pi$
$179$	1.07136	+	3.64871i	0.0800770	+	0.272717i	−0.909716	+	0.415232i	$0.863701\pi$
$180$	15.3451	+	3.17927i	1.14376	+	0.236969i
$181$	9.65633	+	1.38837i	0.717749	+	0.103197i	0.491506	−	0.870874i	$-0.336447\pi$
$181$	9.65633	+	1.38837i	0.717749	+	0.103197i	0.226243	+	0.974071i	$0.427356\pi$
$182$	0.458197	−	0.204184i	0.0339638	−	0.0151351i
$183$	−1.90438	−	1.09381i	−0.140775	−	0.0808564i
$184$	−13.3578	−	2.35977i	−0.984752	−	0.173964i
$185$			16.2223i			1.19269i
$186$	14.4844	+	1.48471i	1.06205	+	0.108864i
$187$	−2.55665	+	17.7819i	−0.186961	+	1.30034i
$188$	17.0422	−	18.9525i	1.24293	−	1.38225i
$189$	0.180507	+	0.599795i	0.0131300	+	0.0436287i
$190$	−4.85194	−	17.1041i	−0.351997	−	1.24086i
$191$	−6.90953	−	7.97402i	−0.499956	−	0.576980i	0.448543	−	0.893761i	$-0.351943\pi$
$191$	−6.90953	−	7.97402i	−0.499956	−	0.576980i	−0.948498	+	0.316782i	$0.897398\pi$
$192$	3.83332	+	13.3156i	0.276646	+	0.960972i
$193$	−7.24146	−	2.12628i	−0.521252	−	0.153053i	0.0105142	−	0.999945i	$-0.496653\pi$
$193$	−7.24146	−	2.12628i	−0.521252	−	0.153053i	−0.531766	+	0.846891i	$0.678471\pi$
$194$	−1.34182	+	1.14128i	−0.0963372	+	0.0819388i
$195$	−6.12621	−	11.8181i	−0.438707	−	0.846309i
$196$	8.95342	+	10.7249i	0.639530	+	0.766064i
$197$	−14.4129	+	16.6334i	−1.02688	+	1.18508i	−0.0443407	+	0.999016i	$0.514119\pi$
$197$	−14.4129	+	16.6334i	−1.02688	+	1.18508i	−0.982538	+	0.186064i	$0.940427\pi$
$198$	22.9357	−	2.08124i	1.62997	−	0.147907i
$199$	−19.6663	+	2.82759i	−1.39411	+	0.200442i	−0.798095	−	0.602532i	$-0.794159\pi$
$199$	−19.6663	+	2.82759i	−1.39411	+	0.200442i	−0.596013	+	0.802975i	$0.703249\pi$
$200$	1.31477	+	4.98184i	0.0929685	+	0.352269i
$201$	−9.64499	−	0.899165i	−0.680305	−	0.0634222i
$202$	−7.15199	+	0.961303i	−0.503212	+	0.0676370i
$203$	0.725535	+	0.331341i	0.0509226	+	0.0232556i
$204$	−9.44479	+	6.49850i	−0.661268	+	0.454986i
$205$	−4.82316	−	7.50499i	−0.336864	−	0.524171i
$206$	−2.21978	+	14.4922i	−0.154659	+	1.00972i
$207$	−13.3569	+	5.34729i	−0.928368	+	0.371663i
$208$	6.72303	−	9.66114i	0.466159	−	0.669880i
$209$	−14.1258	−	21.9801i	−0.977101	−	1.52040i
$210$	−0.561829	+	0.528300i	−0.0387699	+	0.0364562i
$211$	−1.80937	+	3.96197i	−0.124562	+	0.272753i	−0.961632	−	0.274343i	$-0.911540\pi$
$211$	−1.80937	+	3.96197i	−0.124562	+	0.272753i	0.837070	+	0.547096i	$0.184267\pi$
$212$	16.2720	+	0.299108i	1.11756	+	0.0205428i
$213$	0.696858	+	0.0649654i	0.0477479	+	0.00445135i
$214$	19.0368	−	11.9885i	1.30133	−	0.819514i
$215$	2.78811	+	19.3917i	0.190148	+	1.32251i
$216$	10.9042	+	9.85384i	0.741937	+	0.670469i
$217$	−0.469236	+	0.541527i	−0.0318538	+	0.0367613i
$218$	5.71345	−	6.47252i	0.386964	−	0.438374i
$219$	−7.86500	+	4.07704i	−0.531467	+	0.275501i
$220$	14.8889	+	24.1316i	1.00381	+	1.62695i
$221$	9.34391	+	2.74362i	0.628539	+	0.184556i
$222$	−7.69834	+	13.1225i	−0.516679	+	0.880726i
$223$	18.0281	−	15.6215i	1.20725	−	1.04609i	0.209588	−	0.977790i	$-0.432788\pi$
$223$	18.0281	−	15.6215i	1.20725	−	1.04609i	0.997665	−	0.0683007i	$-0.0217577\pi$
$224$	−0.644767	−	0.221965i	−0.0430803	−	0.0148307i
$225$	3.97205	+	3.75348i	0.264803	+	0.250232i
$226$	−13.8363	−	9.07281i	−0.920379	−	0.603515i
$227$	−19.0257	−	2.73549i	−1.26278	−	0.181561i	−0.521790	−	0.853074i	$-0.674736\pi$
$227$	−19.0257	−	2.73549i	−1.26278	−	0.181561i	−0.740993	+	0.671513i	$0.765645\pi$
$228$	4.19199	−	16.1384i	0.277621	−	1.06879i
$229$			6.46294i			0.427083i	0.976934	+	0.213542i	$0.0684999\pi$
$229$			6.46294i			0.427083i	−0.976934	+	0.213542i	$0.931500\pi$
$230$	−13.2277	−	11.7824i	−0.872208	−	0.776906i
$231$	−0.564474	+	0.982781i	−0.0371397	+	0.0646622i
$232$	18.5909	−	2.15176i	1.22055	−	0.141270i
$233$	21.8631	+	3.14344i	1.43230	+	0.205933i	0.814391	−	0.580317i	$-0.197071\pi$
$233$	21.8631	+	3.14344i	1.43230	+	0.205933i	0.617908	+	0.786251i	$0.287981\pi$
$234$	0.652687	−	12.4671i	0.0426675	−	0.814998i
$235$	31.9367	−	9.37747i	2.08332	−	0.611719i
$236$	−20.6369	+	2.58097i	−1.34335	+	0.168007i
$237$	−1.41027	−	7.22987i	−0.0916066	−	0.469631i
$238$	0.00518478	−	0.564169i	0.000336079	−	0.0365696i
$239$	−26.5703	−	7.80174i	−1.71869	−	0.504653i	−0.734027	−	0.679121i	$-0.762361\pi$
$239$	−26.5703	−	7.80174i	−1.71869	−	0.504653i	−0.984663	+	0.174468i	$0.944179\pi$
$240$	−4.87045	+	17.4275i	−0.314386	+	1.12494i
$241$	−11.6350	−	7.47739i	−0.749479	−	0.481661i	0.109299	−	0.994009i	$-0.465139\pi$
$241$	−11.6350	−	7.47739i	−0.749479	−	0.481661i	−0.858778	+	0.512348i	$0.828776\pi$
$242$	19.5778	+	17.2818i	1.25851	+	1.11091i
$243$	15.3389	+	2.77834i	0.983989	+	0.178230i
$244$	1.40998	−	2.10777i	0.0902649	−	0.134936i
$245$	2.59651	+	18.0591i	0.165885	+	1.15376i
$246$	−0.340032	−	8.35978i	−0.0216797	−	0.533000i
$247$	−12.8835	+	5.88372i	−0.819760	+	0.374372i
$248$	−2.85054	+	16.5694i	−0.181010	+	1.05216i
$249$	−22.0444	+	15.7724i	−1.39701	+	0.999533i
$250$	3.41086	−	11.2334i	0.215722	−	0.710462i
$251$	11.9708	+	18.6270i	0.755592	+	1.17572i	0.979565	+	0.201128i	$0.0644608\pi$
$251$	11.9708	+	18.6270i	0.755592	+	1.17572i	−0.223973	+	0.974595i	$0.571903\pi$
$252$	−0.705182	+	0.160734i	−0.0444223	+	0.0101253i
$253$	−23.6315	−	10.9205i	−1.48570	−	0.686566i
$254$	−1.00192	+	6.54119i	−0.0628660	+	0.410431i
$255$	−14.9531	+	0.745912i	−0.936397	+	0.0467108i
$256$	−15.6415	+	3.36791i	−0.977595	+	0.210494i
$257$	−3.52391	−	1.60932i	−0.219816	−	0.100386i	0.302464	−	0.953161i	$-0.402191\pi$
$257$	−3.52391	−	1.60932i	−0.219816	−	0.100386i	−0.522279	+	0.852774i	$0.674918\pi$
$258$	−6.94706	+	17.0095i	−0.432505	+	1.05896i
$259$	−0.311026	−	0.681053i	−0.0193262	−	0.0423185i
$260$	14.0968	−	6.12723i	0.874246	−	0.379995i
$261$	15.5482	−	12.3405i	0.962408	−	0.763856i
$262$	−10.3002	+	22.0165i	−0.636347	+	1.36019i
$263$	9.01616	−	10.4052i	0.555960	−	0.641612i	−0.406301	−	0.913739i	$-0.633182\pi$
$263$	9.01616	−	10.4052i	0.555960	−	0.641612i	0.962261	+	0.272127i	$0.0877271\pi$
$264$	0.592240	+	26.5861i	0.0364499	+	1.63626i
$265$	17.8795	+	11.4904i	1.09833	+	0.705852i
$266$	0.531630	+	0.625049i	0.0325963	+	0.0383242i
$267$	−5.40152	−	5.63958i	−0.330568	−	0.345137i
$268$	1.79506	−	11.0404i	0.109650	−	0.674399i
$269$	−0.981061	−	1.13220i	−0.0598163	−	0.0690317i	0.725053	−	0.688693i	$-0.241815\pi$
$269$	−0.981061	−	1.13220i	−0.0598163	−	0.0690317i	−0.784869	+	0.619662i	$0.787270\pi$
$270$	5.36191	+	18.4288i	0.326315	+	1.12154i
$271$	−5.56271	−	18.9449i	−0.337911	−	1.15082i	−0.936765	−	0.349960i	$-0.886195\pi$
$271$	−5.56271	−	18.9449i	−0.337911	−	1.15082i	0.598854	−	0.800858i	$-0.295623\pi$
$272$	−6.74292	−	11.3921i	−0.408849	−	0.690746i
$273$	0.483779	+	0.378696i	0.0292797	+	0.0229197i
$274$	−9.07115	−	20.3560i	−0.548008	−	1.22975i
$275$			9.88832i			0.596288i
$276$	−5.10877	−	15.8082i	−0.307512	−	0.951544i
$277$			17.4147i			1.04634i	0.852227	+	0.523172i	$0.175252\pi$
$277$			17.4147i			1.04634i	−0.852227	+	0.523172i	$0.824748\pi$
$278$	3.89656	−	1.73640i	0.233700	−	0.104143i
$279$	6.70190	+	16.5254i	0.401232	+	0.989348i
$280$	−0.564385	−	0.688821i	−0.0337285	−	0.0411649i
$281$	−3.86841	−	13.1746i	−0.230770	−	0.785931i	−0.990716	−	0.135945i	$-0.956593\pi$
$281$	−3.86841	−	13.1746i	−0.230770	−	0.785931i	0.759946	−	0.649986i	$-0.225225\pi$
$282$	30.2844	+	7.57007i	1.80341	+	0.450791i
$283$	7.11007	+	8.20545i	0.422650	+	0.487764i	0.926642	−	0.375944i	$-0.122682\pi$
$283$	7.11007	+	8.20545i	0.422650	+	0.487764i	−0.503993	+	0.863708i	$0.668136\pi$
$284$	−0.129694	+	0.797677i	−0.00769593	+	0.0473334i
$285$	15.7254	−	15.0616i	0.931490	−	0.892170i
$286$	17.2067	−	14.6351i	1.01746	−	0.865389i
$287$	0.346380	+	0.222605i	0.0204462	+	0.0131400i
$288$	−12.2101	+	11.7862i	−0.719487	+	0.694506i
$289$	−3.96002	+	4.57011i	−0.232942	+	0.268830i
$290$	22.1373	+	10.3567i	1.29995	+	0.608166i
$291$	−2.00468	−	0.797341i	−0.117516	−	0.0467410i
$292$	−4.07771	−	9.38152i	−0.238630	−	0.549012i
$293$	−4.57067	−	10.0084i	−0.267021	−	0.584695i	0.727862	−	0.685724i	$-0.240514\pi$
$293$	−4.57067	−	10.0084i	−0.267021	−	0.584695i	−0.994884	+	0.101028i	$0.967787\pi$
$294$	−6.46966	+	15.8406i	−0.377318	+	0.923842i
$295$	−24.7056	−	11.2827i	−1.43841	−	0.656901i
$296$	−14.5114	−	9.90154i	−0.843455	−	0.575515i
$297$	15.4085	+	23.6251i	0.894091	+	1.37087i
$298$	13.8297	+	2.11831i	0.801133	+	0.122710i
$299$	−7.68265	+	11.8374i	−0.444299	+	0.684573i
$300$	−4.63672	+	4.28041i	−0.267701	+	0.247129i
$301$	−0.488846	−	0.760659i	−0.0281766	−	0.0438437i
$302$	4.83097	+	1.46686i	0.277991	+	0.0844080i
$303$	−5.14275	−	7.18782i	−0.295443	−	0.412929i
$304$	18.2616	+	6.09956i	1.04738	+	0.349834i
$305$	3.01239	−	1.37571i	0.172489	−	0.0787730i
$306$	−12.4498	−	6.49264i	−0.711708	−	0.371160i
$307$	−3.36690	−	23.4173i	−0.192159	−	1.33650i	−0.826279	−	0.563261i	$-0.809547\pi$
$307$	−3.36690	−	23.4173i	−0.192159	−	1.33650i	0.634120	−	0.773235i	$-0.281363\pi$
$308$	−1.08775	−	0.727642i	−0.0619800	−	0.0414613i
$309$	−16.9554	+	5.91094i	−0.964561	+	0.336262i
$310$	−14.5300	+	16.4604i	−0.825251	+	0.934891i
$311$	22.7505	+	14.6208i	1.29006	+	0.829072i	0.992093	−	0.125504i	$-0.0400548\pi$
$311$	22.7505	+	14.6208i	1.29006	+	0.829072i	0.297968	+	0.954576i	$0.403691\pi$
$312$	14.3109	+	1.73325i	0.810194	+	0.0981259i
$313$	−4.15826	−	1.22098i	−0.235039	−	0.0690136i	0.162092	−	0.986776i	$-0.448176\pi$
$313$	−4.15826	−	1.22098i	−0.235039	−	0.0690136i	−0.397131	+	0.917762i	$0.629994\pi$
$314$	11.2648	+	0.103525i	0.635712	+	0.00584227i
$315$	−0.893955	−	0.304918i	−0.0503686	−	0.0171802i
$316$	8.43993	−	1.05555i	0.474783	−	0.0593792i
$317$	33.8522	−	9.93991i	1.90133	−	0.558281i	0.912537	−	0.408994i	$-0.134120\pi$
$317$	33.8522	−	9.93991i	1.90133	−	0.558281i	0.988794	−	0.149287i	$-0.0476977\pi$
$318$	9.01023	+	17.7796i	0.505269	+	0.997031i
$319$	35.5515	+	5.11154i	1.99050	+	0.286191i
$320$	−19.6934	−	6.98264i	−1.10089	−	0.390341i
$321$	23.8927	+	13.7231i	1.33356	+	0.765950i
$322$	0.781233	+	0.241042i	0.0435364	+	0.0134328i
$323$			15.9298i			0.886359i
$324$	−4.40808	+	17.4519i	−0.244893	+	0.969550i
$325$	5.30573	+	0.762849i	0.294309	+	0.0423153i
$326$	6.21177	−	9.47314i	0.344038	−	0.524669i
$327$	10.2813	+	2.46982i	0.568558	+	0.136581i
$328$	9.65736	+	0.266317i	0.533238	+	0.0147049i
$329$	−1.16099	+	1.00601i	−0.0640077	+	0.0554629i
$330$	−17.5724	+	29.9538i	−0.967330	+	1.64890i
$331$	5.67547	+	1.66647i	0.311952	+	0.0915973i	0.433961	−	0.900932i	$-0.357116\pi$
$331$	5.67547	+	1.66647i	0.311952	+	0.0915973i	−0.122009	+	0.992529i	$0.538934\pi$
$332$	−16.4348	−	26.6370i	−0.901975	−	1.46189i
$333$	−18.6159	−	0.803127i	−1.02015	−	0.0440111i
$334$	−1.75098	−	1.54563i	−0.0958095	−	0.0845734i
$335$	9.56564	−	11.0393i	0.522627	−	0.603144i
$336$	−0.129660	−	0.825032i	−0.00707352	−	0.0450092i
$337$	0.832984	+	5.79353i	0.0453755	+	0.315594i	0.999850	+	0.0173021i	$0.00550770\pi$
$337$	0.832984	+	5.79353i	0.0453755	+	0.315594i	−0.954475	+	0.298292i	$0.903583\pi$
$338$	3.27178	+	5.19536i	0.177962	+	0.282590i
$339$	1.88100	−	20.1768i	0.102162	−	1.09585i
$340$	0.317727	−	17.2849i	0.0172312	−	0.937403i
$341$	−13.4040	+	29.3506i	−0.725866	+	1.58942i
$342$	19.8681	−	4.72107i	1.07434	−	0.255286i
$343$	−0.911452	−	1.41825i	−0.0492138	−	0.0765781i
$344$	−19.0483	−	9.34202i	−1.02702	−	0.503688i
$345$	5.16217	−	21.0724i	0.277922	−	1.13450i
$346$	−8.93663	−	1.36883i	−0.480436	−	0.0735888i
$347$	0.359474	+	0.559353i	0.0192976	+	0.0300276i	0.850768	−	0.525541i	$-0.176137\pi$
$347$	0.359474	+	0.559353i	0.0192976	+	0.0300276i	−0.831471	+	0.555569i	$0.812501\pi$
$348$	12.9925	+	18.8831i	0.696472	+	1.01224i
$349$	−0.840142	−	0.383680i	−0.0449717	−	0.0205379i	0.392802	−	0.919623i	$-0.371506\pi$
$349$	−0.840142	−	0.383680i	−0.0449717	−	0.0205379i	−0.437774	+	0.899085i	$0.644233\pi$
$350$	−0.0413689	−	0.307780i	−0.00221126	−	0.0164515i
$351$	13.8651	−	6.44507i	0.740066	−	0.344012i
$352$	−30.6742	−	1.41045i	−1.63494	−	0.0751773i
$353$	−20.8555	+	2.99857i	−1.11003	+	0.159598i	−0.672851	−	0.739778i	$-0.734931\pi$
$353$	−20.8555	+	2.99857i	−1.11003	+	0.159598i	−0.437177	+	0.899376i	$0.644022\pi$
$354$	−14.6306	−	20.8509i	−0.777607	−	1.10821i
$355$	−0.691125	+	0.797601i	−0.0366811	+	0.0423322i
$356$	6.92206	−	5.77871i	0.366868	−	0.306271i
$357$	0.613466	−	0.318007i	0.0324681	−	0.0168307i
$358$	−3.48427	−	4.09654i	−0.184150	−	0.216509i
$359$	15.1447	+	4.44689i	0.799307	+	0.234698i	0.655783	−	0.754949i	$-0.272338\pi$
$359$	15.1447	+	4.44689i	0.799307	+	0.234698i	0.143524	+	0.989647i	$0.454157\pi$
$360$	−21.6523	+	4.72638i	−1.14117	+	0.249102i
$361$	−2.72964	−	3.15018i	−0.143665	−	0.165799i
$362$	−13.2728	+	3.76512i	−0.697605	+	0.197890i
$363$	−7.47060	+	31.0984i	−0.392105	+	1.63224i
$364$	−0.474343	+	0.527512i	−0.0248624	+	0.0276491i
$365$	1.90114	−	13.2228i	0.0995105	−	0.692110i
$366$	3.08963	+	0.316700i	0.161498	+	0.0165542i
$367$			13.7686i			0.718716i	0.933200	+	0.359358i	$0.117004\pi$
$367$			13.7686i			0.718716i	−0.933200	+	0.359358i	$0.882996\pi$
$368$	18.6135	−	4.64104i	0.970294	−	0.241931i
$369$	8.85115	−	5.16328i	0.460773	−	0.268790i
$370$	−9.33817	−	20.9553i	−0.485469	−	1.08941i
$371$	−0.970930	−	0.139599i	−0.0504082	−	0.00724760i
$372$	−19.5650	+	6.41990i	−1.01440	+	0.332856i
$373$	−7.99717	−	27.2358i	−0.414078	−	1.41022i	−0.857767	−	0.514038i	$-0.828149\pi$
$373$	−7.99717	−	27.2358i	−0.414078	−	1.41022i	0.443690	−	0.896180i	$-0.353669\pi$
$374$	−6.93337	−	24.4416i	−0.358516	−	1.26385i
$375$	14.1123	−	2.75276i	0.728756	−	0.142152i
$376$	−11.1047	+	34.2922i	−0.572679	+	1.76848i
$377$	5.48535	−	18.6814i	0.282510	−	0.962141i
$378$	−0.578437	−	0.670884i	−0.0297516	−	0.0345065i
$379$	−1.08298	−	0.695991i	−0.0556291	−	0.0357507i	0.512531	−	0.858669i	$-0.328708\pi$
$379$	−1.08298	−	0.695991i	−0.0556291	−	0.0357507i	−0.568160	+	0.822918i	$0.692344\pi$
$380$	16.1133	+	19.3014i	0.826596	+	0.990142i
$381$	−7.65300	+	2.66796i	−0.392075	+	0.136684i
$382$	13.5156	+	6.32311i	0.691518	+	0.323519i
$383$	−0.262664	−	1.82687i	−0.0134215	−	0.0933486i	0.982010	−	0.188831i	$-0.0604698\pi$
$383$	−0.262664	−	1.82687i	−0.0134215	−	0.0933486i	−0.995431	+	0.0954823i	$0.969561\pi$
$384$	−12.6167	−	14.9939i	−0.643844	−	0.765157i
$385$	−0.709956	−	1.55459i	−0.0361827	−	0.0792291i
$386$	10.5782	−	1.42182i	0.538416	−	0.0723687i
$387$	−22.3911	+	2.23947i	−1.13820	+	0.113838i
$388$	1.07635	−	2.24666i	0.0546432	−	0.114057i
$389$	−4.85339	+	3.11908i	−0.246077	+	0.158144i	−0.657866	−	0.753135i	$-0.728540\pi$
$389$	−4.85339	+	3.11908i	−0.246077	+	0.158144i	0.411789	+	0.911279i	$0.364904\pi$
$390$	14.7165	+	11.7396i	0.745200	+	0.594457i
$391$	8.52102	+	13.3906i	0.430926	+	0.677193i
$392$	−17.7393	−	8.70003i	−0.895971	−	0.439418i
$393$	−29.7327	+	1.48317i	−1.49981	+	0.0748161i
$394$	9.04318	−	29.7830i	0.455589	−	1.50044i
$395$	10.1039	+	4.61430i	0.508383	+	0.232171i
$396$	−28.4294	+	15.8912i	−1.42863	+	0.798561i
$397$	23.8592	−	10.8961i	1.19746	−	0.546862i	0.285992	−	0.958232i	$-0.407677\pi$
$397$	23.8592	−	10.8961i	1.19746	−	0.546862i	0.911468	+	0.411370i	$0.134950\pi$
$398$	23.7765	−	14.9733i	1.19181	−	0.750542i
$399$	−0.371419	+	0.933822i	−0.0185942	+	0.0467496i
$400$	−4.56611	−	5.67850i	−0.228306	−	0.283925i
$401$	1.47399	+	1.27722i	0.0736077	+	0.0637815i	0.690888	−	0.722962i	$-0.257220\pi$
$401$	1.47399	+	1.27722i	0.0736077	+	0.0637815i	−0.617280	+	0.786744i	$0.711765\pi$
$402$	12.9766	−	4.39053i	0.647214	−	0.218980i
$403$	14.7145	+	9.45641i	0.732979	+	0.471057i
$404$	8.68528	−	5.35874i	0.432109	−	0.266607i
$405$	−16.8663	+	16.3733i	−0.838091	+	0.813594i
$406$	−1.12795	−	0.0103660i	−0.0559792	−	0.000514456i
$407$	−22.0787	−	25.4801i	−1.09440	−	1.26300i
$408$	8.45960	−	13.8313i	0.418813	−	0.684750i
$409$	−18.1656	+	5.33390i	−0.898232	+	0.263745i	−0.698080	−	0.716020i	$-0.745962\pi$
$409$	−18.1656	+	5.33390i	−0.898232	+	0.263745i	−0.200152	+	0.979765i	$0.564144\pi$
$410$	10.5505	+	6.91823i	0.521053	+	0.341667i
$411$	16.8241	−	21.4926i	0.829871	−	1.06015i
$412$	−5.47484	−	19.9982i	−0.269726	−	0.985240i
$413$	1.25352			0.0616818
$414$	14.1758	−	14.5962i	0.696701	−	0.717362i
$415$		−	40.8739i		−	2.00642i
$416$	−3.12321	+	16.3499i	−0.153128	+	0.801620i
$417$	4.11412	+	3.22048i	0.201469	+	0.157707i
$418$	30.8997	+	20.2617i	1.51135	+	0.991032i
$419$	5.92462	+	20.1774i	0.289437	+	0.985731i	0.967950	+	0.251143i	$0.0808063\pi$
$419$	5.92462	+	20.1774i	0.289437	+	0.985731i	−0.678513	+	0.734588i	$0.737375\pi$
$420$	0.421638	−	1.00585i	0.0205738	−	0.0490803i
$421$	12.4874	−	10.8204i	0.608597	−	0.527352i	−0.295133	−	0.955456i	$-0.595364\pi$
$421$	12.4874	−	10.8204i	0.608597	−	0.527352i	0.903729	+	0.428104i	$0.140818\pi$
$422$	0.0566062	−	6.15945i	0.00275554	−	0.299837i
$423$	9.18003	+	37.1134i	0.446348	+	1.80451i
$424$	−21.1916	+	8.98040i	−1.02916	+	0.436127i
$425$	3.25941	−	5.07174i	0.158105	−	0.246016i
$426$	−0.937569	+	0.317219i	−0.0454254	+	0.0153693i
$427$	−0.100092	+	0.115512i	−0.00484377	+	0.00559001i
$428$	−17.6899	+	26.4445i	−0.855075	+	1.27824i
$429$	25.7068	+	10.2246i	1.24114	+	0.493651i
$430$	−14.7642	−	23.4445i	−0.711993	−	1.13059i
$431$	−9.06686	−	19.8537i	−0.436735	−	0.956317i	−0.992186	−	0.124768i	$-0.960181\pi$
$431$	−9.06686	−	19.8537i	−0.436735	−	0.956317i	0.555451	−	0.831549i	$-0.312546\pi$
$432$	−19.7579	−	6.45190i	−0.950600	−	0.310417i
$433$	11.0525	−	24.2017i	0.531151	−	1.16306i	−0.433892	−	0.900965i	$-0.642860\pi$
$433$	11.0525	−	24.2017i	0.531151	−	1.16306i	0.965043	−	0.262093i	$-0.0844126\pi$
$434$	0.294415	−	0.969633i	0.0141324	−	0.0465439i
$435$	1.49131	+	29.8958i	0.0715029	+	1.43340i
$436$	−3.65456	+	11.6498i	−0.175022	+	0.557925i
$437$	−22.1195	−	6.60277i	−1.05812	−	0.315853i
$438$	7.81278	−	9.79395i	0.373309	−	0.467973i
$439$	14.9639	+	23.2843i	0.714187	+	1.11130i	0.988728	+	0.149721i	$0.0478377\pi$
$439$	14.9639	+	23.2843i	0.714187	+	1.11130i	−0.274541	+	0.961575i	$0.588526\pi$
$440$	−33.1240	−	22.6015i	−1.57912	−	1.07748i
$441$	−20.8524	+	2.08557i	−0.992970	+	0.0993129i
$442$	−13.6494	+	1.83462i	−0.649236	+	0.0872642i
$443$	−4.63163	+	2.11519i	−0.220055	+	0.100496i	−0.522393	−	0.852705i	$-0.674960\pi$
$443$	−4.63163	+	2.11519i	−0.220055	+	0.100496i	0.302337	+	0.953201i	$0.402233\pi$
$444$	2.39056	−	21.3826i	0.113451	−	1.01477i
$445$	11.6557	−	1.67584i	0.552534	−	0.0794425i
$446$	−14.2957	+	30.5568i	−0.676919	+	1.44691i
$447$	5.64073	+	16.1804i	0.266798	+	0.765304i
$448$	0.960654	−	0.0844278i	0.0453867	−	0.00398884i
$449$	17.3158	−	26.9440i	0.817185	−	1.27156i	−0.142306	−	0.989823i	$-0.545452\pi$
$449$	17.3158	−	26.9440i	0.817185	−	1.27156i	0.959490	−	0.281741i	$-0.0909120\pi$
$450$	−7.29158	−	2.56212i	−0.343728	−	0.120780i
$451$	17.7900	+	5.22363i	0.837700	+	0.245971i
$452$	23.0959	+	3.75515i	1.08634	+	0.176627i
$453$	1.18383	+	6.06905i	0.0556214	+	0.285149i
$454$	26.1513	−	7.41837i	1.22734	−	0.348161i
$455$	−0.888909	+	0.261007i	−0.0416727	+	0.0122362i
$456$	3.87483	+	23.2599i	0.181456	+	1.08925i
$457$	3.88141	−	26.9958i	0.181565	−	1.26281i	−0.671500	−	0.741004i	$-0.734350\pi$
$457$	3.88141	−	26.9958i	0.181565	−	1.26281i	0.853065	−	0.521805i	$-0.174741\pi$
$458$	−3.72032	−	8.34856i	−0.173839	−	0.390103i
$459$	−0.115682	−	17.1964i	−0.00539959	−	0.802657i
$460$	23.8694	+	7.60560i	1.11292	+	0.354613i
$461$	2.23876			0.104270			0.0521348	−	0.998640i	$-0.483397\pi$
$461$	2.23876			0.104270			0.0521348	+	0.998640i	$0.483397\pi$
$462$	0.163438	−	1.59445i	0.00760380	−	0.0741805i
$463$	−13.3261	−	1.91601i	−0.619317	−	0.0890443i	−0.174487	−	0.984659i	$-0.555827\pi$
$463$	−13.3261	−	1.91601i	−0.619317	−	0.0890443i	−0.444830	+	0.895615i	$0.646736\pi$
$464$	−22.7763	+	13.4812i	−1.05736	+	0.625849i
$465$	−26.1467	−	6.28108i	−1.21252	−	0.291278i
$466$	−30.0513	+	8.52468i	−1.39210	+	0.394898i
$467$	10.9989	−	9.53057i	0.508967	−	0.441022i	−0.362134	−	0.932126i	$-0.617952\pi$
$467$	10.9989	−	9.53057i	0.508967	−	0.441022i	0.871101	+	0.491104i	$0.163406\pi$
$468$	6.33342	+	16.4802i	0.292762	+	0.761796i
$469$	−0.189935	+	0.646860i	−0.00877039	+	0.0298692i
$470$	−35.8565	+	30.4975i	−1.65394	+	1.40674i
$471$	6.34970	+	12.2492i	0.292579	+	0.564412i
$472$	25.1722	−	15.2134i	1.15864	−	0.700253i
$473$	−30.7716	−	26.6637i	−1.41488	−	1.22600i
$474$	5.98352	+	8.52745i	0.274832	+	0.391679i
$475$	1.24785	+	8.67900i	0.0572554	+	0.398220i
$476$	0.318060	+	0.731754i	0.0145783	+	0.0335399i
$477$	−14.0711	+	19.9488i	−0.644270	+	0.913392i
$478$	38.8134	−	5.21693i	1.77528	−	0.238617i
$479$	−5.27259	+	11.5454i	−0.240911	+	0.527521i	−0.991007	−	0.133807i	$-0.957280\pi$
$479$	−5.27259	+	11.5454i	−0.240911	+	0.527521i	0.750096	+	0.661328i	$0.230007\pi$
$480$	−3.74050	−	25.3158i	−0.170730	−	1.15550i
$481$	−15.3751	+	9.88095i	−0.701042	+	0.450532i
$482$	19.3339	+	2.96140i	0.880637	+	0.134888i
$483$	0.187296	+	0.983646i	0.00852225	+	0.0447575i
$484$	−35.2378	−	11.0541i	−1.60172	−	0.502461i
$485$	2.73683	−	1.75885i	0.124273	−	0.0798653i
$486$	−21.4134	+	5.24071i	−0.971333	+	0.237723i
$487$	29.9779	+	13.6904i	1.35843	+	0.620373i	0.955536	−	0.294876i	$-0.0952782\pi$
$487$	29.9779	+	13.6904i	1.35843	+	0.620373i	0.402891	+	0.915248i	$0.368005\pi$
$488$	−0.608042	+	3.53437i	−0.0275248	+	0.159993i
$489$	13.8142	+	1.28784i	0.624698	+	0.0582382i
$490$	−13.7496	−	21.8334i	−0.621144	−	0.986333i
$491$	21.5255	−	3.09490i	0.971434	−	0.139671i	0.361715	−	0.932289i	$-0.382191\pi$
$491$	21.5255	−	3.09490i	0.971434	−	0.139671i	0.609719	+	0.792618i	$0.291282\pi$
$492$	5.25146	+	10.6031i	0.236754	+	0.478024i
$493$	−16.5496	−	14.3403i	−0.745356	−	0.645854i
$494$	13.2555	−	15.0166i	0.596394	−	0.675629i
$495$	−42.4932	−	1.83324i	−1.90993	−	0.0823979i
$496$	−5.85576	−	23.0445i	−0.262931	−	1.03473i
$497$	0.0137230	−	0.0467361i	0.000615559	−	0.00209640i
$498$	19.3969	−	33.0637i	0.869194	−	1.48162i
$499$	−18.8077	−	21.7052i	−0.841946	−	0.971658i	0.157929	−	0.987450i	$-0.449518\pi$
$499$	−18.8077	−	21.7052i	−0.841946	−	0.971658i	−0.999875	+	0.0157928i	$0.994973\pi$
$500$	2.06037	+	16.4743i	0.0921425	+	0.736751i
$501$	0.668150	−	2.78136i	0.0298508	−	0.124262i
$502$	−26.1858	−	17.1707i	−1.16873	−	0.766364i
$503$	1.19559	−	8.31553i	0.0533088	−	0.370771i	−0.945651	−	0.325182i	$-0.894574\pi$
$503$	1.19559	−	8.31553i	0.0533088	−	0.370771i	0.998960	−	0.0455891i	$-0.0145165\pi$
$504$	0.818399	−	0.613560i	0.0364544	−	0.0273301i
$505$	13.3274			0.593061
$506$	36.8125	+	0.503421i	1.63651	+	0.0223798i
$507$	−3.74519	+	6.52058i	−0.166330	+	0.289589i
$508$	−2.47113	−	9.02638i	−0.109638	−	0.400481i
$509$	3.45498	−	24.0299i	0.153139	−	1.06511i	−0.757776	−	0.652515i	$-0.773714\pi$
$509$	3.45498	−	24.0299i	0.153139	−	1.06511i	0.910915	−	0.412593i	$-0.135377\pi$
$510$	18.8864	−	9.57110i	0.836302	−	0.423815i
$511$	0.173702	+	0.591575i	0.00768413	+	0.0261697i
$512$	18.2664	−	13.3544i	0.807267	−	0.590186i
$513$	16.5054	+	18.7913i	0.728732	+	0.829658i
$514$	5.47843	+	0.0503474i	0.241643	+	0.00222073i
$515$	7.62845	−	25.9801i	0.336150	−	1.14482i
$516$	−0.817386	−	25.9711i	−0.0359834	−	1.14332i
$517$	−37.3998	+	58.1953i	−1.64484	+	2.55942i
$518$	0.793811	+	0.700717i	0.0348781	+	0.0307877i
$519$	−3.64499	−	10.4556i	−0.159997	−	0.458950i
$520$	−14.6826	+	16.0296i	−0.643874	+	0.702943i
$521$	−41.8789	+	6.02127i	−1.83475	+	0.263797i	−0.970818	−	0.239818i	$-0.922912\pi$
$521$	−41.8789	+	6.02127i	−1.83475	+	0.263797i	−0.863929	+	0.503614i	$0.832003\pi$
$522$	−12.9808	+	24.8910i	−0.568155	+	1.08945i
$523$	−10.8602	−	23.7805i	−0.474883	−	1.03985i	−0.983839	−	0.179055i	$-0.942696\pi$
$523$	−10.8602	−	23.7805i	−0.474883	−	1.03985i	0.508956	−	0.860792i	$-0.330031\pi$
$524$	0.631768	−	34.3692i	0.0275989	−	1.50143i
$525$	0.309322	−	0.221314i	0.0134999	−	0.00965895i
$526$	−5.65706	+	18.6311i	−0.246660	+	0.812353i
$527$	16.5495	−	10.6357i	0.720909	−	0.463300i
$528$	−16.0690	−	34.0019i	−0.699315	−	1.47974i
$529$	−22.1256	+	6.28166i	−0.961981	+	0.273116i
$530$	−29.7103	−	4.55075i	−1.29053	−	0.197672i
$531$	14.1706	−	27.7924i	0.614950	−	1.20609i
$532$	−1.04654	−	0.501385i	−0.0453733	−	0.0217378i
$533$	4.17526	−	9.14254i	0.180850	−	0.396007i
$534$	10.2238	+	4.17565i	0.442428	+	0.180698i
$535$	−37.7941	+	17.2600i	−1.63398	+	0.746214i
$536$	4.03650	+	15.2948i	0.174350	+	0.660636i
$537$	2.43426	−	6.12022i	0.105046	−	0.264107i
$538$	1.91903	+	0.897798i	0.0827355	+	0.0387068i
$539$	−28.6570	−	24.8314i	−1.23434	−	1.06956i
$540$	−17.5346	−	20.7190i	−0.754569	−	0.891603i
$541$	−9.04859	+	14.0799i	−0.389029	+	0.605342i	−0.979434	−	0.201766i	$-0.935332\pi$
$541$	−9.04859	+	14.0799i	−0.389029	+	0.605342i	0.590404	+	0.807108i	$0.298968\pi$
$542$	18.0911	+	21.2701i	0.777078	+	0.913628i
$543$	−11.6878	−	12.2029i	−0.501573	−	0.523678i
$544$	15.2679	+	10.8343i	0.654607	+	0.464517i
$545$	−12.0502	+	10.4415i	−0.516173	+	0.447267i
$546$	−0.842918	−	0.210701i	−0.0360736	−	0.00901717i
$547$	26.0843	−	7.65905i	1.11529	−	0.327477i	0.328377	−	0.944547i	$-0.393499\pi$
$547$	26.0843	−	7.65905i	1.11529	−	0.327477i	0.786909	+	0.617070i	$0.211680\pi$
$548$	23.4355	+	21.0734i	1.00111	+	0.900210i
$549$	1.42957	+	3.52498i	0.0610124	+	0.150443i
$550$	−5.69210	−	12.7733i	−0.242712	−	0.544656i
$551$	31.8487			1.35680
$552$	15.6991	+	17.4796i	0.668200	+	0.743982i
$553$	−0.512657			−0.0218004
$554$	−10.0246	−	22.4955i	−0.425902	−	0.955743i
$555$	17.3193	−	22.1253i	0.735165	−	0.939165i
$556$	−4.03388	+	4.48603i	−0.171074	+	0.190250i
$557$	12.8485	−	3.77266i	0.544408	−	0.159853i	0.00204649	−	0.999998i	$-0.499349\pi$
$557$	12.8485	−	3.77266i	0.544408	−	0.159853i	0.542361	+	0.840145i	$0.317530\pi$
$558$	−18.1699	−	17.4889i	−0.769193	−	0.740364i
$559$	−16.6808	+	14.4540i	−0.705521	+	0.611337i
$560$	1.12556	+	0.564908i	0.0475636	+	0.0238717i
$561$	22.4714	−	21.5228i	0.948743	−	0.908695i
$562$	12.5809	+	14.7916i	0.530692	+	0.623946i
$563$	−12.6269	+	19.6479i	−0.532161	+	0.828059i	−0.998397	−	0.0566017i	$-0.981973\pi$
$563$	−12.6269	+	19.6479i	−0.532161	+	0.828059i	0.466236	+	0.884661i	$0.345610\pi$
$564$	−43.4777	+	7.65416i	−1.83074	+	0.322298i
$565$	23.0937	+	20.0108i	0.971557	+	0.841859i
$566$	−13.9079	−	6.50663i	−0.584591	−	0.273494i
$567$	0.394167	−	1.01076i	0.0165535	−	0.0424481i
$568$	−0.291640	−	1.10506i	−0.0122370	−	0.0463674i
$569$	−5.88771	+	2.68883i	−0.246826	+	0.112722i	−0.534987	−	0.844860i	$-0.679683\pi$
$569$	−5.88771	+	2.68883i	−0.246826	+	0.112722i	0.288161	+	0.957582i	$0.406956\pi$
$570$	−11.6433	+	28.5080i	−0.487686	+	1.19407i
$571$	−0.941007	+	2.06052i	−0.0393799	+	0.0862300i	−0.928300	−	0.371833i	$-0.878729\pi$
$571$	−0.941007	+	2.06052i	−0.0393799	+	0.0862300i	0.888920	+	0.458063i	$0.151457\pi$
$572$	−13.8025	+	28.8098i	−0.577109	+	1.20460i
$573$	0.910495	+	18.2524i	0.0380365	+	0.762505i
$574$	−0.575580	−	0.0881620i	−0.0240242	−	0.00367981i
$575$	5.69142	+	6.62808i	0.237349	+	0.276410i
$576$	8.98792	−	22.2535i	0.374497	−	0.927228i
$577$	−27.0643	+	17.3932i	−1.12670	+	0.724087i	−0.964869	−	0.262731i	$-0.915377\pi$
$577$	−27.0643	+	17.3932i	−1.12670	+	0.724087i	−0.161832	+	0.986818i	$0.551740\pi$
$578$	2.48466	−	8.18301i	0.103348	−	0.340369i
$579$	7.60641	+	10.6312i	0.316112	+	0.441817i
$580$	−34.5578	−	0.635235i	−1.43494	−	0.0263767i
$581$	0.783667	+	1.71599i	0.0325120	+	0.0711913i
$582$	3.04854	−	0.123999i	0.126366	−	0.00513991i
$583$	−43.7217	+	6.28623i	−1.81077	+	0.260349i
$584$	10.6678	+	9.77136i	0.441436	+	0.404342i
$585$	−4.26185	+	22.6589i	−0.176206	+	0.936832i
$586$	11.6654	+	10.2973i	0.481894	+	0.425379i
$587$	20.2158	−	31.4564i	0.834395	−	1.29834i	−0.117857	−	0.993031i	$-0.537602\pi$
$587$	20.2158	−	31.4564i	0.834395	−	1.29834i	0.952252	−	0.305313i	$-0.0987612\pi$
$588$	−0.761216	−	24.1864i	−0.0313920	−	0.997430i
$589$	−8.06081	+	27.4526i	−0.332140	+	1.13116i
$590$	38.4084	+	0.352978i	1.58125	+	0.0145319i
$591$	37.4158	−	7.29836i	1.53908	−	0.300214i
$592$	24.4449	+	4.43709i	1.00468	+	0.182363i
$593$	−1.14524	−	3.90034i	−0.0470295	−	0.160168i	0.932630	−	0.360833i	$-0.117508\pi$
$593$	−1.14524	−	3.90034i	−0.0470295	−	0.160168i	−0.979660	+	0.200666i	$0.935690\pi$
$594$	−33.5036	−	21.6482i	−1.37467	−	0.888237i
$595$	−0.148288	+	1.03137i	−0.00607923	+	0.0422820i
$596$	−19.0840	+	5.22457i	−0.781712	+	0.214007i
$597$	29.8413	+	17.1398i	1.22132	+	0.701485i
$598$	3.11007	−	19.7135i	0.127180	−	0.806144i
$599$	−17.1180			−0.699422			−0.349711	−	0.936858i	$-0.613720\pi$
$599$	−17.1180			−0.699422			−0.349711	+	0.936858i	$0.613720\pi$
$600$	3.52556	−	8.19833i	0.143930	−	0.334695i
$601$	0.181125	−	1.25975i	0.00738825	−	0.0513864i	−0.985794	−	0.167960i	$-0.946282\pi$
$601$	0.181125	−	1.25975i	0.00738825	−	0.0513864i	0.993182	+	0.116574i	$0.0371911\pi$
$602$	1.06934	+	0.701189i	0.0435829	+	0.0285783i
$603$	12.1947	+	11.5236i	0.496605	+	0.469278i
$604$	−7.08482	+	0.886070i	−0.288277	+	0.0360537i
$605$	−31.5831	−	36.4488i	−1.28403	−	1.48185i
$606$	10.7808	+	6.32456i	0.437939	+	0.256918i
$607$	−2.10609	+	7.17269i	−0.0854836	+	0.291131i	−0.991129	−	0.132906i	$-0.957569\pi$
$607$	−2.10609	+	7.17269i	−0.0854836	+	0.291131i	0.905645	+	0.424037i	$0.139387\pi$
$608$	−27.1008	+	2.63296i	−1.09908	+	0.106781i
$609$	−0.635796	−	1.22651i	−0.0257637	−	0.0497007i
$610$	−3.09937	+	3.51114i	−0.125490	+	0.142162i
$611$	28.3403	+	24.5570i	1.14653	+	0.993471i
$612$	19.8195	+	1.22034i	0.801158	+	0.0493293i
$613$	8.24122	−	1.18491i	0.332860	−	0.0478580i	0.0261413	−	0.999658i	$-0.491678\pi$
$613$	8.24122	−	1.18491i	0.332860	−	0.0478580i	0.306719	+	0.951800i	$0.400769\pi$
$614$	17.8291	+	28.3114i	0.719525	+	1.14255i
$615$	−1.43431	+	15.3853i	−0.0578369	+	0.620393i
$616$	1.82396	+	0.313789i	0.0734896	+	0.0126429i
$617$	3.36909	+	1.53861i	0.135634	+	0.0619421i	0.482076	−	0.876129i	$-0.339883\pi$
$617$	3.36909	+	1.53861i	0.135634	+	0.0619421i	−0.346442	+	0.938072i	$0.612610\pi$
$618$	18.4998	−	17.3957i	0.744169	−	0.699758i
$619$	−0.700971	+	0.450486i	−0.0281744	+	0.0181066i	−0.554652	−	0.832082i	$-0.687149\pi$
$619$	−0.700971	+	0.450486i	−0.0281744	+	0.0181066i	0.526478	+	0.850189i	$0.323512\pi$
$620$	9.29403	−	29.6270i	0.373257	−	1.18985i
$621$	23.9261	+	6.96710i	0.960122	+	0.279580i
$622$	−37.8044	−	5.79054i	−1.51582	−	0.232179i
$623$	−0.457207	+	0.293829i	−0.0183176	+	0.0117720i
$624$	−19.4839	+	5.99896i	−0.779981	+	0.240151i
$625$	−12.7906	+	28.0074i	−0.511623	+	1.12030i
$626$	6.07431	−	0.816451i	0.242778	−	0.0326320i
$627$	−4.20071	+	45.0594i	−0.167760	+	1.79950i
$628$	−14.6110	+	6.35075i	−0.583044	+	0.253422i
$629$	2.92537	+	20.3464i	0.116642	+	0.811265i
$630$	1.33030	−	0.120714i	0.0530003	−	0.00480937i
$631$	34.5132	+	29.9059i	1.37395	+	1.19053i	0.959921	+	0.280271i	$0.0904244\pi$
$631$	34.5132	+	29.9059i	1.37395	+	1.19053i	0.414029	+	0.910264i	$0.364121\pi$
$632$	−10.2947	+	6.22186i	−0.409502	+	0.247492i
$633$	6.69767	−	3.47192i	0.266209	−	0.137997i
$634$	−38.0071	+	32.3266i	−1.50946	+	1.28385i
$635$	3.44318	−	11.7264i	0.136638	−	0.465347i
$636$	−21.8737	−	17.7803i	−0.867348	−	0.705036i
$637$	−15.5345	+	13.4607i	−0.615498	+	0.533332i
$638$	−48.8664	+	13.8620i	−1.93464	+	0.548801i
$639$	−0.881073	−	0.832589i	−0.0348547	−	0.0329367i
$640$	29.4585	−	2.31639i	1.16445	−	0.0915632i
$641$	4.10631	+	0.590398i	0.162190	+	0.0233193i	0.222931	−	0.974834i	$-0.428437\pi$
$641$	4.10631	+	0.590398i	0.162190	+	0.0233193i	−0.0607417	+	0.998154i	$0.519347\pi$
$642$	−38.7632	−	3.97338i	−1.52986	−	0.156817i
$643$	21.5995			0.851800			0.425900	−	0.904770i	$-0.359958\pi$
$643$	21.5995			0.851800			0.425900	+	0.904770i	$0.359958\pi$
$644$	−1.14792	+	0.138340i	−0.0452343	+	0.00545136i
$645$	16.9005	−	29.4247i	0.665456	−	1.15860i
$646$	−9.16983	−	20.5775i	−0.360782	−	0.809611i
$647$	−0.795664	+	5.53396i	−0.0312808	+	0.217563i	−0.999466	−	0.0326715i	$-0.989598\pi$
$647$	−0.795664	+	5.53396i	−0.0312808	+	0.217563i	0.968185	+	0.250234i	$0.0805076\pi$
$648$	−4.35182	−	25.0811i	−0.170955	−	0.985279i
$649$	54.1605	−	15.9030i	2.12599	−	0.624246i
$650$	−7.29285	+	2.06877i	−0.286049	+	0.0811438i
$651$	1.21813	−	0.237610i	0.0477423	−	0.00931266i
$652$	−2.57099	+	15.8127i	−0.100688	+	0.619275i
$653$	−22.8309	−	6.70376i	−0.893442	−	0.262338i	−0.197386	−	0.980326i	$-0.563245\pi$
$653$	−22.8309	−	6.70376i	−0.893442	−	0.262338i	−0.696056	+	0.717988i	$0.745063\pi$
$654$	−14.7027	+	2.72791i	−0.574921	+	0.106670i
$655$	24.2698	−	37.7646i	0.948300	−	1.47558i
$656$	−12.6283	+	5.21513i	−0.493051	+	0.203617i
$657$	15.0797	+	2.83629i	0.588314	+	0.110654i
$658$	0.920627	−	1.96783i	0.0358898	−	0.0767140i
$659$	−9.34650	+	1.34382i	−0.364088	+	0.0523480i	−0.321931	−	0.946763i	$-0.604332\pi$
$659$	−9.34650	+	1.34382i	−0.364088	+	0.0523480i	−0.0421568	+	0.999111i	$0.513423\pi$
$660$	5.45676	−	48.8084i	0.212404	−	1.89987i
$661$	41.1196	−	18.7787i	1.59937	−	0.730407i	0.601705	−	0.798718i	$-0.294488\pi$
$661$	41.1196	−	18.7787i	1.59937	−	0.730407i	0.997664	+	0.0683111i	$0.0217611\pi$
$662$	−8.29062	+	1.11435i	−0.322224	+	0.0433103i
$663$	−9.81482	−	13.7178i	−0.381176	−	0.532755i
$664$	36.5630	+	24.9481i	1.41892	+	0.968173i
$665$	−0.819311	−	1.27487i	−0.0317715	−	0.0494374i
$666$	24.5096	−	9.67860i	0.949727	−	0.375038i
$667$	26.7720	−	17.0362i	1.03662	−	0.659643i
$668$	3.15157	+	0.988653i	0.121938	+	0.0382521i
$669$	−41.2661	+	2.05850i	−1.59544	+	0.0795862i
$670$	−6.00182	+	19.7665i	−0.231871	+	0.763647i
$671$	−2.85917	+	6.26070i	−0.110377	+	0.241692i
$672$	0.642409	+	0.991104i	0.0247815	+	0.0382327i
$673$	1.94357	+	4.25583i	0.0749191	+	0.164050i	0.943386	−	0.331698i	$-0.107621\pi$
$673$	1.94357	+	4.25583i	0.0749191	+	0.164050i	−0.868467	+	0.495748i	$0.834894\pi$
$674$	−4.41100	−	7.00434i	−0.169905	−	0.269797i
$675$	−1.41009	−	9.35997i	−0.0542744	−	0.360265i
$676$	−7.21700	−	4.82778i	−0.277577	−	0.185684i
$677$	26.6058	−	30.7048i	1.02255	−	1.18008i	0.0390335	−	0.999238i	$-0.487572\pi$
$677$	26.6058	−	30.7048i	1.02255	−	1.18008i	0.983512	−	0.180843i	$-0.0578825\pi$
$678$	9.18473	+	27.1463i	0.352737	+	1.04255i
$679$	−0.0811769	+	0.126314i	−0.00311528	+	0.00484747i
$680$	9.53941	+	22.5108i	0.365820	+	0.863248i
$681$	23.0284	+	24.0433i	0.882449	+	0.921340i
$682$	0.419343	−	45.6297i	0.0160575	−	1.74725i
$683$	1.19869	−	1.03867i	0.0458667	−	0.0397437i	−0.631626	−	0.775273i	$-0.717612\pi$
$683$	1.19869	−	1.03867i	0.0458667	−	0.0397437i	0.677492	+	0.735530i	$0.263067\pi$
$684$	−22.9471	+	17.5353i	−0.877405	+	0.670480i
$685$	11.5956	+	39.4911i	0.443046	+	1.50888i
$686$	1.99377	+	1.30737i	0.0761226	+	0.0499154i
$687$	6.90001	−	8.81469i	0.263252	−	0.336301i
$688$	29.9835	+	1.10267i	1.14311	+	0.0420390i
$689$			23.9445i			0.912213i
$690$	5.46182	+	30.1920i	0.207928	+	1.14939i
$691$	12.6553			0.481429			0.240714	−	0.970596i	$-0.422618\pi$
$691$	12.6553			0.481429			0.240714	+	0.970596i	$0.422618\pi$
$692$	12.3319	−	3.37607i	0.468789	−	0.128339i
$693$	1.81912	−	0.737749i	0.0691026	−	0.0280247i
$694$	−0.786339	−	0.515621i	−0.0298490	−	0.0195727i
$695$	−7.55939	+	2.21964i	−0.286744	+	0.0841957i
$696$	−27.6530	−	16.9134i	−1.04819	−	0.641101i
$697$	−7.40272	−	8.54320i	−0.280398	−	0.323597i
$698$	1.30612	+	0.0120034i	0.0494374	+	0.000454336i
$699$	−26.4626	−	27.6289i	−1.00091	−	1.04502i
$700$	0.230609	+	0.373764i	0.00871620	+	0.0141270i
$701$	34.7562	+	22.3364i	1.31272	+	0.843635i	0.994536	−	0.104393i	$-0.0332899\pi$
$701$	34.7562	+	22.3364i	1.31272	+	0.843635i	0.318186	+	0.948028i	$0.396926\pi$
$702$	−14.2004	+	16.3068i	−0.535959	+	0.615460i
$703$	−22.5939	−	19.5778i	−0.852146	−	0.738389i
$704$	40.4356	−	15.8353i	1.52397	−	0.596815i
$705$	−53.5696	−	21.3068i	−2.01755	−	0.802459i
$706$	25.2142	−	15.8787i	0.948949	−	0.597602i
$707$	−0.559517	+	0.255523i	−0.0210428	+	0.00960993i
$708$	30.9018	+	18.5124i	1.16136	+	0.695737i
$709$	21.2006	+	9.68199i	0.796206	+	0.363615i	0.771621	−	0.636083i	$-0.219446\pi$
$709$	21.2006	+	9.68199i	0.796206	+	0.363615i	0.0245848	+	0.999698i	$0.492174\pi$
$710$	0.433636	−	1.42815i	0.0162741	−	0.0535973i
$711$	−5.79537	+	11.3663i	−0.217344	+	0.426271i
$712$	−5.61517	+	11.4493i	−0.210437	+	0.429081i
$713$	7.90873	+	27.3884i	0.296184	+	1.02571i
$714$	−0.609393	+	0.763923i	−0.0228060	+	0.0285891i
$715$	−35.0955	+	22.5545i	−1.31250	+	0.843490i
$716$	6.85897	+	3.28605i	0.256332	+	0.122805i
$717$	27.9094	+	39.0078i	1.04229	+	1.45677i
$718$	−22.1231	+	2.97358i	−0.825627	+	0.110973i
$719$	−14.7962	−	32.3991i	−0.551804	−	1.20828i	−0.955935	−	0.293580i	$-0.905153\pi$
$719$	−14.7962	−	32.3991i	−0.551804	−	1.20828i	0.404131	−	0.914701i	$-0.367574\pi$
$720$	25.2488	−	18.5692i	0.940967	−	0.692034i
$721$	0.177849	+	1.23697i	0.00662346	+	0.0460672i
$722$	5.33940	+	2.49798i	0.198712	+	0.0929651i
$723$	7.88575	+	22.6202i	0.293274	+	0.841253i
$724$	14.9780	−	12.5040i	0.556651	−	0.464707i
$725$	−10.1400	−	6.51658i	−0.376590	−	0.242020i
$726$	−8.25125	−	44.4720i	−0.306233	−	1.65051i
$727$	−3.45178	+	11.7557i	−0.128019	+	0.435994i	−0.998410	−	0.0563676i	$-0.982048\pi$
$727$	−3.45178	+	11.7557i	−0.128019	+	0.435994i	0.870391	+	0.492362i	$0.163866\pi$
$728$	0.309081	−	0.954468i	0.0114553	−	0.0353749i
$729$	−17.9542	−	20.1655i	−0.664969	−	0.746871i
$730$	5.15571	+	18.1750i	0.190821	+	0.672686i
$731$	6.99385	+	23.8189i	0.258677	+	0.880973i
$732$	−4.17336	+	1.36941i	−0.154252	+	0.0506149i
$733$	−9.10023	−	1.30842i	−0.336125	−	0.0483274i	−0.0278139	−	0.999613i	$-0.508855\pi$
$733$	−9.10023	−	1.30842i	−0.336125	−	0.0483274i	−0.308311	+	0.951286i	$0.599764\pi$
$734$	−7.92576	−	17.7857i	−0.292545	−	0.656483i
$735$	15.7391	−	27.4026i	0.580545	−	1.01076i
$736$	−21.3725	+	16.7097i	−0.787802	+	0.615929i
$737$			30.3583i			1.11826i
$738$	−8.46137	+	11.7648i	−0.311467	+	0.433068i
$739$	−6.83027	+	47.5056i	−0.251256	+	1.74752i	0.339441	+	0.940627i	$0.389762\pi$
$739$	−6.83027	+	47.5056i	−0.251256	+	1.74752i	−0.590696	+	0.806894i	$0.701147\pi$
$740$	24.1253	+	21.6937i	0.886865	+	0.797477i
$741$	23.8532	+	5.73013i	0.876271	+	0.210502i
$742$	1.33457	−	0.378577i	0.0489934	−	0.0138980i
$743$	26.1543	+	30.1837i	0.959509	+	1.10733i	0.994158	+	0.107932i	$0.0344230\pi$
$743$	26.1543	+	30.1837i	0.959509	+	1.10733i	−0.0346497	+	0.999400i	$0.511032\pi$
$744$	21.5777	−	19.5553i	0.791077	−	0.716933i
$745$	−24.7925	−	7.27973i	−0.908327	−	0.266709i
$746$	26.0084	+	30.5786i	0.952236	+	1.11956i
$747$	46.9050	+	2.02357i	1.71616	+	0.0740386i
$748$	23.0258	+	27.5815i	0.841906	+	1.00848i
$749$	1.25577	−	1.44924i	0.0458848	−	0.0529539i
$750$	−16.6451	+	11.6795i	−0.607793	+	0.426475i
$751$	18.3896	−	2.64403i	0.671047	−	0.0964821i	0.201635	−	0.979461i	$-0.435375\pi$
$751$	18.3896	−	2.64403i	0.671047	−	0.0964821i	0.469413	+	0.882979i	$0.344466\pi$
$752$	−5.39536	−	50.6895i	−0.196748	−	1.84845i
$753$	3.55987	−	38.1853i	0.129729	−	1.39155i
$754$	3.66799	+	27.2894i	0.133580	+	0.993823i
$755$	−8.48164	−	3.87343i	−0.308678	−	0.140969i
$756$	1.13339	+	0.533649i	0.0412209	+	0.0194086i
$757$	−29.3557	−	45.6783i	−1.06695	−	1.66021i	−0.669989	−	0.742371i	$-0.733701\pi$
$757$	−29.3557	−	45.6783i	−1.06695	−	1.66021i	−0.396961	−	0.917835i	$-0.629935\pi$
$758$	1.79959	+	0.275645i	0.0653642	+	0.0100119i
$759$	20.5716	+	40.1239i	0.746701	+	1.45641i
$760$	−31.9252	−	15.6573i	−1.15805	−	0.567950i
$761$	−14.9678	−	23.2904i	−0.542583	−	0.844276i	0.456381	−	0.889785i	$-0.349146\pi$
$761$	−14.9678	−	23.2904i	−0.542583	−	0.844276i	−0.998964	+	0.0455086i	$0.985509\pi$
$762$	8.35005	−	7.85173i	0.302490	−	0.284438i
$763$	0.305704	−	0.669398i	0.0110672	−	0.0242338i
$764$	−21.0987	−	0.387832i	−0.763325	−	0.0140313i
$765$	21.1906	+	14.9470i	0.766146	+	0.540408i
$766$	1.39091	+	2.20867i	0.0502558	+	0.0798025i
$767$	−4.35469	−	30.2875i	−0.157239	−	1.09362i
$768$	24.9288	+	12.1059i	0.899542	+	0.436834i
$769$	16.8856	−	19.4871i	0.608911	−	0.702721i	−0.364651	−	0.931144i	$-0.618812\pi$
$769$	16.8856	−	19.4871i	0.608911	−	0.702721i	0.973562	+	0.228423i	$0.0733570\pi$
$770$	1.81197	+	1.59947i	0.0652990	+	0.0576410i
$771$	3.08805	+	5.95714i	0.111213	+	0.214541i
$772$	−12.8460	+	7.92586i	−0.462338	+	0.285258i
$773$	18.0055	+	5.28689i	0.647613	+	0.190156i	0.589011	−	0.808125i	$-0.299518\pi$
$773$	18.0055	+	5.28689i	0.647613	+	0.190156i	0.0586019	+	0.998281i	$0.481336\pi$
$774$	27.6347	−	15.7820i	0.993310	−	0.567273i
$775$	8.18349	−	7.09103i	0.293959	−	0.254717i
$776$	−0.0971172	+	3.52172i	−0.00348630	+	0.126423i
$777$	−0.302907	+	1.26094i	−0.0108667	+	0.0452358i
$778$	4.47394	−	6.82290i	0.160399	−	0.244613i
$779$	16.2735	+	2.33978i	0.583060	+	0.0838314i
$780$	−25.7680	−	6.69331i	−0.922641	−	0.239659i
$781$		−	2.19341i		−	0.0784863i
$782$	−18.7153	−	12.3924i	−0.669256	−	0.443152i
$783$	−34.3809	+	0.231285i	−1.22867	+	0.00826545i
$784$	27.9230	+	1.02690i	0.997250	+	0.0366749i
$785$	−20.5935	−	2.96090i	−0.735013	−	0.105679i
$786$	37.5537	−	19.0312i	1.33949	−	0.678820i
$787$	−16.2724	+	4.77802i	−0.580050	+	0.170318i	−0.558579	−	0.829452i	$-0.688653\pi$
$787$	−16.2724	+	4.77802i	−0.580050	+	0.170318i	−0.0214709	+	0.999769i	$0.506835\pi$
$788$	5.46263	+	43.6780i	0.194598	+	1.55596i
$789$	−23.4058	+	4.56556i	−0.833270	+	0.162538i
$790$	−15.7080	−	0.144358i	−0.558865	−	0.00513604i
$791$	−1.35319	−	0.397333i	−0.0481140	−	0.0141275i
$792$	27.5763	−	36.8926i	0.979881	−	1.31092i
$793$	3.13870	+	2.01712i	0.111459	+	0.0716301i
$794$	−24.5481	+	27.8095i	−0.871180	+	0.986921i
$795$	−12.1180	−	34.7602i	−0.429780	−	1.23282i
$796$	−22.0942	+	33.0285i	−0.783110	+	1.17066i
$797$	−6.60405	−	45.9322i	−0.233928	−	1.62700i	−0.680846	−	0.732427i	$-0.738388\pi$
$797$	−6.60405	−	45.9322i	−0.233928	−	1.62700i	0.446918	−	0.894575i	$-0.352522\pi$
$798$	−0.0577613	−	1.42008i	−0.00204473	−	0.0502701i
$799$	38.3649	−	17.5207i	1.35725	−	0.619836i
$800$	9.16708	+	4.70682i	0.324105	+	0.166411i
$801$	1.34607	+	13.4585i	0.0475610	+	0.475534i
$802$	−2.63926	−	0.801375i	−0.0931956	−	0.0282975i
$803$	15.0102	+	23.3563i	0.529698	+	0.824225i
$804$	−14.2353	+	13.1413i	−0.502039	+	0.463459i
$805$	−1.37065	−	0.633401i	−0.0483092	−	0.0223244i
$806$	−24.4510	−	3.74518i	−0.861250	−	0.131918i
$807$	0.129278	+	2.59160i	0.00455081	+	0.0912286i
$808$	−8.13459	+	11.9218i	−0.286174	+	0.419407i
$809$	−0.484815	−	0.221407i	−0.0170452	−	0.00778427i	0.406874	−	0.913484i	$-0.366619\pi$
$809$	−0.484815	−	0.221407i	−0.0170452	−	0.00778427i	−0.423919	+	0.905700i	$0.639346\pi$
$810$	12.3620	−	30.8592i	0.434358	−	1.08428i
$811$	−9.08022	−	19.8829i	−0.318850	−	0.698184i	0.680554	−	0.732698i	$-0.261739\pi$
$811$	−9.08022	−	19.8829i	−0.318850	−	0.698184i	−0.999404	+	0.0345139i	$0.989012\pi$
$812$	1.46300	−	0.635901i	0.0513414	−	0.0223158i
$813$	−12.6392	+	31.7774i	−0.443275	+	1.11448i
$814$	43.1876	+	20.2048i	1.51373	+	0.708179i
$815$	−13.7005	+	15.8112i	−0.479908	+	0.553844i
$816$	−2.96594	+	22.7363i	−0.103829	+	0.795931i
$817$	−30.3731	−	19.5196i	−1.06262	−	0.682904i
$818$	20.3952	−	17.3469i	0.713101	−	0.606522i
$819$	−0.255512	−	1.03299i	−0.00892830	−	0.0360957i
$820$	−17.6111	−	2.86339i	−0.615007	−	0.0999940i
$821$	−17.7833	−	20.5230i	−0.620641	−	0.716257i	0.355188	−	0.934795i	$-0.384417\pi$
$821$	−17.7833	−	20.5230i	−0.620641	−	0.716257i	−0.975829	+	0.218537i	$0.929871\pi$
$822$	−9.36070	+	37.4478i	−0.326492	+	1.30614i
$823$	−3.24906	−	11.0653i	−0.113255	−	0.385712i	0.883284	−	0.468839i	$-0.155327\pi$
$823$	−3.24906	−	11.0653i	−0.113255	−	0.385712i	−0.996539	+	0.0831271i	$0.973509\pi$
$824$	18.5839	+	22.6813i	0.647401	+	0.790140i
$825$	10.5570	−	13.4865i	0.367549	−	0.469540i
$826$	−1.61925	+	0.721576i	−0.0563409	+	0.0251069i
$827$			7.34272i			0.255331i	0.991817	+	0.127666i	$0.0407485\pi$
$827$			7.34272i			0.255331i	−0.991817	+	0.127666i	$0.959252\pi$
$828$	−9.90954	+	27.0148i	−0.344380	+	0.938830i
$829$		−	50.2543i		−	1.74541i	−0.488252	−	0.872703i	$-0.662365\pi$
$829$		−	50.2543i		−	1.74541i	0.488252	−	0.872703i	$-0.337635\pi$
$830$	23.5286	+	52.7992i	0.816690	+	1.83269i
$831$	18.5924	−	23.7515i	0.644962	−	0.823931i
$832$	−5.37721	−	22.9180i	−0.186421	−	0.794537i
$833$	6.51324	+	22.1820i	0.225670	+	0.768562i
$834$	−7.16828	−	1.79183i	−0.248217	−	0.0620459i
$835$	2.82471	+	3.25988i	0.0977530	+	0.112813i
$836$	−51.5784	−	8.38612i	−1.78388	−	0.290040i
$837$	8.50233	−	29.6938i	0.293884	−	1.02637i
$838$	−19.2681	−	22.6539i	−0.665605	−	0.782566i
$839$	−28.4882	−	18.3082i	−0.983521	−	0.632070i	−0.0531099	−	0.998589i	$-0.516913\pi$
$839$	−28.4882	−	18.3082i	−0.983521	−	0.632070i	−0.930411	+	0.366518i	$0.880550\pi$
$840$	0.0343506	+	1.54202i	0.00118521	+	0.0532048i
$841$	−9.67977	+	11.1710i	−0.333785	+	0.385209i
$842$	−9.90203	+	21.1655i	−0.341246	+	0.729411i
$843$	−8.78951	+	22.0986i	−0.302727	+	0.761116i
$844$	3.47250	+	7.98911i	0.119528	+	0.274997i
$845$	−4.71044	−	10.3144i	−0.162044	−	0.354827i
$846$	−33.2223	−	42.6571i	−1.14221	−	1.46658i
$847$	2.02476	+	0.924678i	0.0695717	+	0.0317723i
$848$	22.2050	−	23.7992i	0.762522	−	0.817269i
$849$	−0.936921	−	18.7822i	−0.0321551	−	0.644602i
$850$	−1.29088	+	8.42771i	−0.0442768	+	0.289068i
$851$	−29.4648	−	4.37135i	−1.01004	−	0.149848i
$852$	1.02851	−	0.949471i	0.0352361	−	0.0325284i
$853$	−29.9889	−	46.6636i	−1.02680	−	1.59773i	−0.777068	−	0.629417i	$-0.783294\pi$
$853$	−29.9889	−	46.6636i	−1.02680	−	1.59773i	−0.249733	−	0.968315i	$-0.580343\pi$
$854$	0.0628010	−	0.206830i	0.00214901	−	0.00707757i
$855$	−37.5277	+	3.75337i	−1.28342	+	0.128362i
$856$	7.62863	−	44.3430i	0.260741	−	1.51561i
$857$	12.0104	−	5.48499i	0.410269	−	0.187364i	−0.199579	−	0.979882i	$-0.563958\pi$
$857$	12.0104	−	5.48499i	0.410269	−	0.187364i	0.609848	+	0.792518i	$0.291230\pi$
$858$	−39.0927	+	1.59009i	−1.33460	+	0.0542847i
$859$	5.55159	+	38.6121i	0.189418	+	1.31743i	0.833520	+	0.552490i	$0.186322\pi$
$859$	5.55159	+	38.6121i	0.189418	+	1.31743i	−0.644102	+	0.764940i	$0.722769\pi$
$860$	32.5674	+	21.7858i	1.11054	+	0.742889i
$861$	−0.234762	−	0.673412i	−0.00800068	−	0.0229498i
$862$	23.1407	+	20.4269i	0.788176	+	0.695743i
$863$	18.6247	+	11.9694i	0.633992	+	0.407442i	0.817786	−	0.575523i	$-0.195202\pi$
$863$	18.6247	+	11.9694i	0.633992	+	0.407442i	−0.183794	+	0.982965i	$0.558838\pi$
$864$	29.2363	−	3.03910i	0.994641	−	0.103392i
$865$	16.0207	+	4.70410i	0.544720	+	0.159944i
$866$	−0.345778	+	37.6250i	−0.0117500	+	1.27855i
$867$	10.2802	−	2.00526i	0.349133	−	0.0681021i
$868$	0.177845	+	1.42201i	0.00603645	+	0.0482661i
$869$	−22.1502	+	6.50388i	−0.751394	+	0.220629i
$870$	−19.1356	−	37.7597i	−0.648758	−	1.28018i
$871$	16.2892	+	2.34203i	0.551939	+	0.0793568i
$872$	−1.98527	−	17.1524i	−0.0672298	−	0.580855i
$873$	1.88288	+	3.22773i	0.0637259	+	0.109242i
$874$	32.3739	−	4.20368i	1.09506	−	0.142192i
$875$		−	1.00068i		−	0.0338291i
$876$	−4.45444	+	17.1488i	−0.150502	+	0.579403i
$877$	40.6308	+	5.84182i	1.37200	+	0.197264i	0.788594	−	0.614914i	$-0.210809\pi$
$877$	40.6308	+	5.84182i	1.37200	+	0.197264i	0.583410	+	0.812178i	$0.301718\pi$
$878$	−32.7330	−	21.4638i	−1.10469	−	0.724369i
$879$	−4.45136	+	18.5300i	−0.150141	+	0.625002i
$880$	55.7985	+	10.1282i	1.88097	+	0.341422i
$881$	−8.59377	+	7.44655i	−0.289532	+	0.250881i	−0.787500	−	0.616315i	$-0.788625\pi$
$881$	−8.59377	+	7.44655i	−0.289532	+	0.250881i	0.497968	+	0.867195i	$0.334080\pi$
$882$	25.7357	−	14.6975i	0.866566	−	0.494890i
$883$	−12.3735	−	3.63318i	−0.416400	−	0.122266i	0.0668198	−	0.997765i	$-0.478715\pi$
$883$	−12.3735	−	3.63318i	−0.416400	−	0.122266i	−0.483220	+	0.875499i	$0.660533\pi$
$884$	16.5757	−	10.2270i	0.557500	−	0.343972i
$885$	21.6498	+	41.7645i	0.727750	+	1.40390i
$886$	4.76536	−	5.39847i	0.160095	−	0.181365i
$887$	−1.59985	+	1.84633i	−0.0537177	+	0.0619935i	−0.781973	−	0.623313i	$-0.785786\pi$
$887$	−1.59985	+	1.84633i	−0.0537177	+	0.0619935i	0.728255	+	0.685306i	$0.240332\pi$
$888$	9.22062	+	28.9972i	0.309424	+	0.973084i
$889$	0.0802741	+	0.558319i	0.00269231	+	0.0187254i
$890$	−14.0917	+	8.87427i	−0.472355	+	0.297466i
$891$	4.20747	−	48.6724i	0.140956	−	1.63059i
$892$	0.876834	−	47.7012i	0.0293586	−	1.59715i
$893$	−25.4820	+	55.7977i	−0.852722	+	1.86720i
$894$	−16.6005	−	17.6541i	−0.555204	−	0.590441i
$895$	5.36971	+	8.35544i	0.179490	+	0.279291i
$896$	−1.19233	+	0.662050i	−0.0398331	+	0.0221175i
$897$	23.1161	−	7.94258i	0.771825	−	0.265195i
$898$	−6.85788	+	44.7728i	−0.228850	+	1.49409i
$899$	−21.2642	−	33.0877i	−0.709200	−	1.10354i
$900$	10.8938	−	0.887676i	0.363127	−	0.0295892i
$901$	24.4970	+	11.1874i	0.816114	+	0.372707i
$902$	−25.9874	+	3.49297i	−0.865284	+	0.116303i
$903$	−0.145372	+	1.55935i	−0.00483769	+	0.0518920i
$904$	−31.9959	+	8.44413i	−1.06417	+	0.280848i
$905$	25.2207	−	3.62619i	0.838364	−	0.120539i
$906$	−5.02281	−	7.15829i	−0.166872	−	0.237818i
$907$	31.0228	−	35.8023i	1.03010	−	1.18879i	0.0483046	−	0.998833i	$-0.484618\pi$
$907$	31.0228	−	35.8023i	1.03010	−	1.18879i	0.981792	−	0.189962i	$-0.0608364\pi$
$908$	−29.5109	+	24.6365i	−0.979353	+	0.817589i
$909$	−0.659807	+	15.2939i	−0.0218844	+	0.507266i
$910$	0.998010	−	0.848849i	0.0330837	−	0.0281391i
$911$	26.8228	+	7.87588i	0.888679	+	0.260940i	0.694041	−	0.719936i	$-0.255829\pi$
$911$	26.8228	+	7.87588i	0.888679	+	0.260940i	0.194638	+	0.980875i	$0.437647\pi$
$912$	−18.3947	−	27.8157i	−0.609108	−	0.921070i
$913$	55.6297	+	64.2001i	1.84108	+	2.12471i
$914$	10.5260	+	37.1063i	0.348169	+	1.22737i
$915$	−5.57729	−	1.33980i	−0.184379	−	0.0442924i
$916$	9.61151	+	8.64276i	0.317573	+	0.285565i
$917$	−0.294857	+	2.05077i	−0.00973703	+	0.0677225i
$918$	10.0483	+	22.1469i	0.331644	+	0.730958i
$919$			4.64777i			0.153316i	0.997057	+	0.0766578i	$0.0244249\pi$
$919$			4.64777i			0.153316i	−0.997057	+	0.0766578i	$0.975575\pi$
$920$	−35.2115	+	3.91554i	−1.16089	+	0.129092i
$921$	−20.4089	+	35.5330i	−0.672496	+	1.17085i
$922$	−2.89194	+	1.28872i	−0.0952409	+	0.0424417i
$923$	−1.17691	−	0.169214i	−0.0387384	−	0.00556974i
$924$	0.706705	+	2.15372i	0.0232489	+	0.0708523i
$925$	3.18764	+	10.8561i	0.104809	+	0.356947i
$926$	18.3170	−	5.19601i	0.601935	−	0.170752i
$927$	29.4359	+	10.0403i	0.966801	+	0.329765i
$928$	21.6612	−	30.5254i	0.711063	−	1.00204i
$929$	3.62512	−	12.3460i	0.118936	−	0.405060i	−0.878406	−	0.477915i	$-0.841393\pi$
$929$	3.62512	−	12.3460i	0.118936	−	0.405060i	0.997343	+	0.0728546i	$0.0232109\pi$
$930$	37.3909	−	6.93743i	1.22610	−	0.227487i
$931$	−28.2859	−	18.1782i	−0.927032	−	0.595767i
$932$	33.9119	−	28.3105i	1.11082	−	0.927342i
$933$	−15.4193	−	44.2301i	−0.504807	−	1.44803i
$934$	−8.72171	+	18.6426i	−0.285383	+	0.610004i
$935$	6.67753	+	46.4433i	0.218379	+	1.51886i
$936$	−17.6679	−	17.6426i	−0.577492	−	0.576667i
$937$	0.741599	+	1.62388i	0.0242270	+	0.0530497i	0.921359	−	0.388714i	$-0.127080\pi$
$937$	0.741599	+	1.62388i	0.0242270	+	0.0530497i	−0.897132	+	0.441763i	$0.854353\pi$
$938$	−0.127007	−	0.944920i	−0.00414694	−	0.0308527i
$939$	4.36783	+	6.10474i	0.142539	+	0.199221i
$940$	28.7624	−	60.0358i	0.938127	−	1.95815i
$941$	11.7322	−	7.53981i	0.382458	−	0.245791i	−0.335259	−	0.942126i	$-0.608824\pi$
$941$	11.7322	−	7.53981i	0.382458	−	0.245791i	0.717717	+	0.696335i	$0.245187\pi$
$942$	−15.2534	−	12.1678i	−0.496982	−	0.396450i
$943$	14.9311	−	6.73805i	0.486224	−	0.219421i
$944$	−23.7589	+	34.1421i	−0.773287	+	1.11123i
$945$	0.893709	+	1.37028i	0.0290724	+	0.0445753i
$946$	55.0981	+	16.7298i	1.79139	+	0.543932i
$947$	−43.8621	−	20.0312i	−1.42533	−	0.650925i	−0.454509	−	0.890742i	$-0.650185\pi$
$947$	−43.8621	−	20.0312i	−1.42533	−	0.650925i	−0.970818	+	0.239817i	$0.922913\pi$
$948$	−12.6380	−	7.57105i	−0.410463	−	0.245896i
$949$	13.6902	−	6.25209i	0.444401	−	0.202951i
$950$	−6.60789	−	10.4929i	−0.214388	−	0.340433i
$951$	−56.7825	−	22.5847i	−1.84130	−	0.732359i
$952$	−0.832083	−	0.762162i	−0.0269680	−	0.0247018i
$953$	33.5476	+	29.0692i	1.08671	+	0.941644i	0.998516	−	0.0544594i	$-0.0173435\pi$
$953$	33.5476	+	29.0692i	1.08671	+	0.941644i	0.0881986	+	0.996103i	$0.471889\pi$
$954$	6.69312	−	33.8689i	0.216698	−	1.09654i
$955$	−23.1831	−	14.8989i	−0.750187	−	0.482116i
$956$	−47.1345	+	29.0815i	−1.52444	+	0.940563i
$957$	−43.0309	−	44.9273i	−1.39099	−	1.45229i
$958$	0.164953	−	17.9489i	0.00532939	−	0.579904i
$959$	−1.24397	−	1.43561i	−0.0401698	−	0.0463584i
$960$	19.4046	+	30.5487i	0.626279	+	0.985954i
$961$	4.15815	−	1.22094i	0.134134	−	0.0393853i
$962$	14.1730	−	21.6143i	0.456956	−	0.696872i
$963$	−17.9356	−	44.2252i	−0.577968	−	1.42514i
$964$	−26.6795	+	7.30396i	−0.859288	+	0.235245i
$965$	−19.7119			−0.634549
$966$	−0.808166	−	1.16282i	−0.0260023	−	0.0374131i
$967$		−	11.9081i		−	0.382940i	−0.981498	−	0.191470i	$-0.938675\pi$
$967$		−	11.9081i		−	0.382940i	0.981498	−	0.191470i	$-0.0613254\pi$
$968$	51.8819	−	6.00496i	1.66755	−	0.193007i
$969$	17.0071	−	21.7264i	0.546347	−	0.697952i
$970$	−2.52285	+	3.84743i	−0.0810040	+	0.123534i
$971$	3.66665	+	12.4875i	0.117668	+	0.400742i	0.997172	−	0.0751501i	$-0.0239436\pi$
$971$	3.66665	+	12.4875i	0.117668	+	0.400742i	−0.879504	+	0.475892i	$0.842125\pi$
$972$	24.6442	−	19.0961i	0.790464	−	0.612509i
$973$	0.274806	−	0.238121i	0.00880988	−	0.00763380i
$974$	−46.6049	−	0.428305i	−1.49332	−	0.0137238i
$975$	−6.42195	−	6.70498i	−0.205667	−	0.214731i
$976$	−1.24908	−	4.91556i	−0.0399820	−	0.157343i
$977$	8.24411	−	12.8281i	0.263752	−	0.410407i	−0.683966	−	0.729514i	$-0.739746\pi$
$977$	8.24411	−	12.8281i	0.263752	−	0.410407i	0.947719	+	0.319107i	$0.103383\pi$
$978$	−18.5859	+	6.28839i	−0.594312	+	0.201081i
$979$	−16.0267	+	18.4958i	−0.512215	+	0.591127i
$980$	30.3293	+	20.2887i	0.968835	+	0.648098i
$981$	−11.3856	−	14.3452i	−0.363516	−	0.458006i
$982$	−26.0242	+	16.3888i	−0.830467	+	0.522988i
$983$	−14.7121	−	32.2151i	−0.469244	−	1.02750i	−0.985282	−	0.170935i	$-0.945321\pi$
$983$	−14.7121	−	32.2151i	−0.469244	−	1.02750i	0.516038	−	0.856565i	$-0.327406\pi$
$984$	−12.8872	−	10.6737i	−0.410828	−	0.340265i
$985$	−23.8798	+	52.2894i	−0.760873	+	1.66608i
$986$	29.6329	+	8.99761i	0.943704	+	0.286542i
$987$	2.65750	−	0.132565i	0.0845891	−	0.00421960i
$988$	−8.47880	+	27.0282i	−0.269746	+	0.859883i
$989$	−35.9728	−	0.161324i	−1.14387	−	0.00512980i
$990$	55.9462	−	22.0926i	1.77809	−	0.702150i
$991$	1.72474	+	2.68375i	0.0547883	+	0.0852522i	0.867567	−	0.497320i	$-0.165683\pi$
$991$	1.72474	+	2.68375i	0.0547883	+	0.0852522i	−0.812779	+	0.582572i	$0.802046\pi$
$992$	20.8295	+	26.3971i	0.661339	+	0.838110i
$993$	−5.96150	−	8.33215i	−0.189182	−	0.264413i
$994$	0.00917637	+	0.0682712i	0.000291057	+	0.00216543i
$995$	−47.2038	+	21.5572i	−1.49646	+	0.683410i
$996$	−6.02330	+	53.8759i	−0.190856	+	1.70712i
$997$	−26.6005	+	3.82458i	−0.842447	+	0.121126i	−0.550009	−	0.835159i	$-0.685376\pi$
$997$	−26.6005	+	3.82458i	−0.842447	+	0.121126i	−0.292438	+	0.956284i	$0.594467\pi$
$998$	36.7893	+	17.2114i	1.16454	+	0.544819i
$999$	24.5325	+	20.9702i	0.776173	+	0.663469i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	552.2.x.a.35.11	✓	920
3.2	odd	2	inner	552.2.x.a.35.82	yes	920
8.3	odd	2	inner	552.2.x.a.35.72	yes	920
23.2	even	11	inner	552.2.x.a.347.21	yes	920
24.11	even	2	inner	552.2.x.a.35.21	yes	920
69.2	odd	22	inner	552.2.x.a.347.72	yes	920
184.163	odd	22	inner	552.2.x.a.347.82	yes	920
552.347	even	22	inner	552.2.x.a.347.11	yes	920

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
552.2.x.a.35.11	✓	920	1.1	even	1	trivial
552.2.x.a.35.21	yes	920	24.11	even	2	inner
552.2.x.a.35.72	yes	920	8.3	odd	2	inner
552.2.x.a.35.82	yes	920	3.2	odd	2	inner
552.2.x.a.347.11	yes	920	552.347	even	22	inner
552.2.x.a.347.21	yes	920	23.2	even	11	inner
552.2.x.a.347.72	yes	920	69.2	odd	22	inner
552.2.x.a.347.82	yes	920	184.163	odd	22	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:	\( N \)	\(=\)	\( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	552.x (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.29176 + 0.575639i) q^{2} +(-1.36388 - 1.06763i) q^{3} +(1.33728 - 1.48717i) q^{4} +(2.50603 - 0.735837i) q^{5} +(2.37637 + 0.594013i) q^{6} +(-0.0911016 + 0.0789400i) q^{7} +(-0.871368 + 2.69086i) q^{8} +(0.720344 + 2.91223i) q^{9} +O(q^{10})\)	\(q+(-1.29176 + 0.575639i) q^{2} +(-1.36388 - 1.06763i) q^{3} +(1.33728 - 1.48717i) q^{4} +(2.50603 - 0.735837i) q^{5} +(2.37637 + 0.594013i) q^{6} +(-0.0911016 + 0.0789400i) q^{7} +(-0.871368 + 2.69086i) q^{8} +(0.720344 + 2.91223i) q^{9} +(-2.81361 + 2.39309i) q^{10} +(-2.93471 + 4.56650i) q^{11} +(-3.41164 + 0.600611i) q^{12} +(2.22382 + 1.92696i) q^{13} +(0.0722403 - 0.154413i) q^{14} +(-4.20353 - 1.67191i) q^{15} +(-0.423366 - 3.97753i) q^{16} +(3.01044 - 1.37482i) q^{17} +(-2.60691 - 3.34724i) q^{18} +(-1.99954 + 4.37837i) q^{19} +(2.25695 - 4.71092i) q^{20} +(0.208530 - 0.0104022i) q^{21} +(1.16228 - 7.58815i) q^{22} +(0.661223 + 4.75003i) q^{23} +(4.06128 - 2.73972i) q^{24} +(1.53247 - 0.984860i) q^{25} +(-3.98188 - 1.20904i) q^{26} +(2.12672 - 4.74100i) q^{27} +(-0.00443091 + 0.241049i) q^{28} +(-2.74870 - 6.01881i) q^{29} +(6.39236 - 0.260008i) q^{30} +(5.88371 - 0.845950i) q^{31} +(2.83651 + 4.89430i) q^{32} +(8.87792 - 3.09499i) q^{33} +(-3.09736 + 3.50886i) q^{34} +(-0.170216 + 0.264862i) q^{35} +(5.29430 + 2.82319i) q^{36} +(-1.74986 + 5.95949i) q^{37} +(0.0625554 - 6.80681i) q^{38} +(-0.975763 - 5.00235i) q^{39} +(-0.203641 + 7.38456i) q^{40} +(-0.962311 - 3.27733i) q^{41} +(-0.263383 + 0.133475i) q^{42} +(-1.06749 + 7.42458i) q^{43} +(2.86665 + 10.4711i) q^{44} +(3.94814 + 6.76809i) q^{45} +(-3.58844 - 5.75527i) q^{46} +12.7439 q^{47} +(-3.66910 + 5.87688i) q^{48} +(-0.994136 + 6.91437i) q^{49} +(-1.41266 + 2.15435i) q^{50} +(-5.57368 - 1.33893i) q^{51} +(5.83959 - 0.730334i) q^{52} +(5.32883 + 6.14980i) q^{53} +(-0.0180980 + 7.34845i) q^{54} +(-3.99428 + 13.6033i) q^{55} +(-0.133033 - 0.313927i) q^{56} +(7.40160 - 3.83682i) q^{57} +(7.01532 + 6.19259i) q^{58} +(-7.85891 - 6.80978i) q^{59} +(-8.10772 + 4.01556i) q^{60} +(1.25504 - 0.180447i) q^{61} +(-7.11337 + 4.47966i) q^{62} +(-0.295516 - 0.208445i) q^{63} +(-6.48144 - 4.68945i) q^{64} +(6.99090 + 3.19264i) q^{65} +(-9.68653 + 9.10845i) q^{66} +(4.70487 - 3.02363i) q^{67} +(1.98120 - 6.31557i) q^{68} +(4.16943 - 7.18442i) q^{69} +(0.0674137 - 0.440121i) q^{70} +(-0.339930 + 0.218460i) q^{71} +(-8.46409 - 0.599281i) q^{72} +(2.12472 - 4.65249i) q^{73} +(-1.17011 - 8.70550i) q^{74} +(-3.14157 - 0.292877i) q^{75} +(3.83746 + 8.82876i) q^{76} +(-0.0931226 - 0.647682i) q^{77} +(4.14000 + 5.90015i) q^{78} +(3.21408 + 2.78502i) q^{79} +(-3.98779 - 9.65629i) q^{80} +(-7.96221 + 4.19562i) q^{81} +(3.12963 + 3.67957i) q^{82} +(4.40898 - 15.0156i) q^{83} +(0.263393 - 0.324031i) q^{84} +(6.53261 - 5.66054i) q^{85} +(-2.89493 - 10.2053i) q^{86} +(-2.67695 + 11.1435i) q^{87} +(-9.73060 - 11.8760i) q^{88} +(4.46267 + 0.641635i) q^{89} +(-8.99602 - 6.47004i) q^{90} -0.354708 q^{91} +(7.94836 + 5.36877i) q^{92} +(-8.92784 - 5.12784i) q^{93} +(-16.4621 + 7.33591i) q^{94} +(-1.78913 + 12.4437i) q^{95} +(1.35663 - 9.70358i) q^{96} +(1.19514 - 0.350923i) q^{97} +(-2.69600 - 9.50396i) q^{98} +(-15.4127 - 5.25711i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 920 q - 18 q^{3} - 14 q^{4} - 16 q^{6} - 18 q^{9}+O(q^{10}) \) 920 * q - 18 * q^3 - 14 * q^4 - 16 * q^6 - 18 * q^9	\( 920 q - 18 q^{3} - 14 q^{4} - 16 q^{6} - 18 q^{9} - 14 q^{10} - 6 q^{12} - 30 q^{16} - 16 q^{18} - 52 q^{19} - 32 q^{22} - 26 q^{24} - 112 q^{25} - 30 q^{27} - 34 q^{28} + 11 q^{30} - 30 q^{33} - 88 q^{34} - 18 q^{36} + 124 q^{40} - 3 q^{42} - 36 q^{43} - 110 q^{46} + 32 q^{49} - 30 q^{51} + 90 q^{52} - 39 q^{54} - 6 q^{57} - 68 q^{58} + 13 q^{60} + 28 q^{64} - 46 q^{66} - 100 q^{67} - 92 q^{70} + 29 q^{72} - 36 q^{73} + 14 q^{75} - 50 q^{76} - 86 q^{78} - 2 q^{81} - 12 q^{82} - 151 q^{84} - 42 q^{88} - 196 q^{90} - 136 q^{91} - 68 q^{94} - 175 q^{96} - 36 q^{97} - 54 q^{99}+O(q^{100}) \) 920 * q - 18 * q^3 - 14 * q^4 - 16 * q^6 - 18 * q^9 - 14 * q^10 - 6 * q^12 - 30 * q^16 - 16 * q^18 - 52 * q^19 - 32 * q^22 - 26 * q^24 - 112 * q^25 - 30 * q^27 - 34 * q^28 + 11 * q^30 - 30 * q^33 - 88 * q^34 - 18 * q^36 + 124 * q^40 - 3 * q^42 - 36 * q^43 - 110 * q^46 + 32 * q^49 - 30 * q^51 + 90 * q^52 - 39 * q^54 - 6 * q^57 - 68 * q^58 + 13 * q^60 + 28 * q^64 - 46 * q^66 - 100 * q^67 - 92 * q^70 + 29 * q^72 - 36 * q^73 + 14 * q^75 - 50 * q^76 - 86 * q^78 - 2 * q^81 - 12 * q^82 - 151 * q^84 - 42 * q^88 - 196 * q^90 - 136 * q^91 - 68 * q^94 - 175 * q^96 - 36 * q^97 - 54 * q^99

Introduction

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