LMFDB - Embedded newform 184.2.j.a.11.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [184,2,Mod(11,184)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(184, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 9]))

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

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

chi := DirichletCharacter("184.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.j (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:	$1.46924739719$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.7
Character	$\chi$	$=$	184.11
Dual form			184.2.j.a.67.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.916731 + 1.07685i) q^{2} +(0.402816 - 2.80165i) q^{3} +(-0.319209 - 1.97436i) q^{4} +(-3.83602 + 1.12636i) q^{5} +(2.64768 + 3.00213i) q^{6} +(0.00464829 + 0.00536442i) q^{7} +(2.41872 + 1.46622i) q^{8} +(-4.80850 - 1.41190i) q^{9} +O(q^{10})$	\(q+(-0.916731 + 1.07685i) q^{2} +(0.402816 - 2.80165i) q^{3} +(-0.319209 - 1.97436i) q^{4} +(-3.83602 + 1.12636i) q^{5} +(2.64768 + 3.00213i) q^{6} +(0.00464829 + 0.00536442i) q^{7} +(2.41872 + 1.46622i) q^{8} +(-4.80850 - 1.41190i) q^{9} +(2.30368 - 5.16339i) q^{10} +(-1.37145 + 2.13401i) q^{11} +(-5.66005 + 0.0990074i) q^{12} +(-3.57383 - 3.09674i) q^{13} +(-0.0100379 + 8.77863e-5i) q^{14} +(1.61045 + 11.2009i) q^{15} +(-3.79621 + 1.26047i) q^{16} +(-1.21773 + 0.556120i) q^{17} +(5.92850 - 3.88369i) q^{18} +(-3.99766 - 1.82567i) q^{19} +(3.44833 + 7.21415i) q^{20} +(0.0169016 - 0.0108620i) q^{21} +(-1.04076 - 3.43316i) q^{22} +(1.61179 - 4.51687i) q^{23} +(5.08213 - 6.18579i) q^{24} +(9.24012 - 5.93826i) q^{25} +(6.61096 - 1.00960i) q^{26} +(-2.36515 + 5.17896i) q^{27} +(0.00910752 - 0.0108898i) q^{28} +(5.15777 - 2.35548i) q^{29} +(-13.5380 - 8.53400i) q^{30} +(0.987044 - 0.141916i) q^{31} +(2.12277 - 5.24346i) q^{32} +(5.42631 + 4.70193i) q^{33} +(0.517476 - 1.82113i) q^{34} +(-0.0238732 - 0.0153424i) q^{35} +(-1.25269 + 9.94441i) q^{36} +(0.984366 + 0.289036i) q^{37} +(5.63075 - 2.63123i) q^{38} +(-10.1156 + 8.76519i) q^{39} +(-10.9297 - 2.90010i) q^{40} +(-9.98829 + 2.93283i) q^{41} +(-0.00379748 + 0.0281580i) q^{42} +(5.36737 + 0.771711i) q^{43} +(4.65109 + 2.02653i) q^{44} +20.0358 q^{45} +(3.38641 + 5.87641i) q^{46} +3.50208i q^{47} +(2.00222 + 11.1434i) q^{48} +(0.996197 - 6.92870i) q^{49} +(-2.07609 + 15.3940i) q^{50} +(1.06753 + 3.63568i) q^{51} +(-4.97328 + 8.04454i) q^{52} +(-6.53268 - 7.53912i) q^{53} +(-3.40875 - 7.29462i) q^{54} +(2.85724 - 9.73086i) q^{55} +(0.00337751 + 0.0197904i) q^{56} +(-6.72521 + 10.4646i) q^{57} +(-2.19180 + 7.71348i) q^{58} +(1.80531 - 2.08343i) q^{59} +(21.6006 - 6.75504i) q^{60} +(-0.524763 - 3.64981i) q^{61} +(-0.752032 + 1.19300i) q^{62} +(-0.0147773 - 0.0323577i) q^{63} +(3.70041 + 7.09274i) q^{64} +(17.1973 + 7.85375i) q^{65} +(-10.0377 + 1.53292i) q^{66} +(3.91437 + 6.09087i) q^{67} +(1.48669 + 2.22673i) q^{68} +(-12.0054 - 6.33514i) q^{69} +(0.0384067 - 0.0116430i) q^{70} +(-2.93429 - 4.56585i) q^{71} +(-9.56025 - 10.4653i) q^{72} +(1.90314 - 4.16731i) q^{73} +(-1.21365 + 0.795046i) q^{74} +(-12.9149 - 28.2796i) q^{75} +(-2.32844 + 8.47559i) q^{76} +(-0.0178226 + 0.00256251i) q^{77} +(-0.165537 - 18.9283i) q^{78} +(-8.45198 + 9.75411i) q^{79} +(13.1426 - 9.11108i) q^{80} +(0.909077 + 0.584228i) q^{81} +(5.99836 - 13.4445i) q^{82} +(-1.27694 + 4.34885i) q^{83} +(-0.0268407 - 0.0299027i) q^{84} +(4.04486 - 3.50489i) q^{85} +(-5.75145 + 5.07240i) q^{86} +(-4.52158 - 15.3991i) q^{87} +(-6.44607 + 3.15074i) q^{88} +(-10.3787 - 1.49223i) q^{89} +(-18.3674 + 21.5756i) q^{90} -0.0335660i q^{91} +(-9.43244 - 1.74043i) q^{92} -2.82252i q^{93} +(-3.77122 - 3.21047i) q^{94} +(17.3915 + 2.50051i) q^{95} +(-13.8352 - 8.05940i) q^{96} +(-0.444324 - 1.51323i) q^{97} +(6.54792 + 7.42451i) q^{98} +(9.60761 - 8.32504i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9}+O(q^{10}) $ 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9	$ 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26} - 18 q^{27} - 11 q^{28} - 11 q^{30} - 11 q^{32} - 22 q^{33} + 11 q^{34} + 2 q^{35} - 41 q^{36} + 44 q^{38} - 99 q^{40} - 18 q^{41} + 99 q^{42} - 22 q^{43} - 88 q^{44} + 45 q^{46} - 100 q^{48} - 28 q^{49} + 14 q^{50} - 22 q^{51} - 118 q^{52} + 102 q^{54} - 66 q^{56} - 22 q^{57} + 43 q^{58} - 6 q^{59} - 33 q^{60} - 56 q^{62} + 18 q^{64} - 22 q^{65} + 22 q^{66} - 22 q^{67} - 10 q^{70} - 23 q^{72} - 18 q^{73} + 14 q^{75} + 44 q^{76} + 98 q^{78} + 88 q^{80} + 4 q^{81} + 14 q^{82} - 22 q^{83} + 143 q^{84} + 99 q^{86} + 77 q^{88} - 22 q^{89} + 176 q^{90} + 36 q^{92} + 111 q^{94} + 101 q^{96} - 22 q^{97} + 121 q^{98} - 22 q^{99}+O(q^{100}) $ 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{9}{22}\right)$

Coefficient data

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

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

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

$2$	−0.916731	+	1.07685i	−0.648227	+	0.761448i
$2$	−0.916731	+	1.07685i	−0.648227	+	0.761448i
$3$	0.402816	−	2.80165i	0.232566	−	1.61753i	−0.454369	−	0.890814i	$-0.650135\pi$
$3$	0.402816	−	2.80165i	0.232566	−	1.61753i	0.686935	−	0.726719i	$-0.258956\pi$
$4$	−0.319209	−	1.97436i	−0.159605	−	0.987181i
$5$	−3.83602	+	1.12636i	−1.71552	+	0.503723i	−0.984011	−	0.178108i	$-0.943002\pi$
$5$	−3.83602	+	1.12636i	−1.71552	+	0.503723i	−0.731510	+	0.681830i	$0.761184\pi$
$6$	2.64768	+	3.00213i	1.08091	+	1.22561i
$7$	0.00464829	+	0.00536442i	0.00175689	+	0.00202756i	0.756627	−	0.653846i	$-0.226846\pi$
$7$	0.00464829	+	0.00536442i	0.00175689	+	0.00202756i	−0.754870	+	0.655874i	$0.772300\pi$
$8$	2.41872	+	1.46622i	0.855147	+	0.518386i
$9$	−4.80850	−	1.41190i	−1.60283	−	0.470634i
$10$	2.30368	−	5.16339i	0.728488	−	1.63281i
$11$	−1.37145	+	2.13401i	−0.413507	+	0.643429i	−0.984061	−	0.177831i	$-0.943092\pi$
$11$	−1.37145	+	2.13401i	−0.413507	+	0.643429i	0.570554	+	0.821260i	$0.306728\pi$
$12$	−5.66005	+	0.0990074i	−1.63392	+	0.0285810i
$13$	−3.57383	−	3.09674i	−0.991201	−	0.858881i	−0.00120850	−	0.999999i	$-0.500385\pi$
$13$	−3.57383	−	3.09674i	−0.991201	−	0.858881i	−0.989993	+	0.141119i	$0.954930\pi$
$14$	−0.0100379		8.77863e-5i	−0.00268274		2.34619e-5i
$15$	1.61045	+	11.2009i	0.415816	+	2.89206i
$16$	−3.79621	+	1.26047i	−0.949053	+	0.315117i
$17$	−1.21773	+	0.556120i	−0.295344	+	0.134879i	−0.557576	−	0.830126i	$-0.688269\pi$
$17$	−1.21773	+	0.556120i	−0.295344	+	0.134879i	0.262232	+	0.965005i	$0.415541\pi$
$18$	5.92850	−	3.88369i	1.39736	−	0.915395i
$19$	−3.99766	−	1.82567i	−0.917126	−	0.418837i	−0.0997962	−	0.995008i	$-0.531819\pi$
$19$	−3.99766	−	1.82567i	−0.917126	−	0.418837i	−0.817329	+	0.576171i	$0.804546\pi$
$20$	3.44833	+	7.21415i	0.771071	+	1.61313i
$21$	0.0169016	−	0.0108620i	0.00368824	−	0.00237029i
$22$	−1.04076	−	3.43316i	−0.221891	−	0.731951i
$23$	1.61179	−	4.51687i	0.336082	−	0.941833i
$23$	1.61179	−	4.51687i	0.336082	−	0.941833i
$24$	5.08213	−	6.18579i	1.03739	−	1.26267i
$25$	9.24012	−	5.93826i	1.84802	−	1.18765i
$26$	6.61096	−	1.00960i	1.29652	−	0.197998i
$27$	−2.36515	+	5.17896i	−0.455173	+	0.996691i
$28$	0.00910752	−	0.0108898i	0.00172116	−	0.00205798i
$29$	5.15777	−	2.35548i	0.957774	−	0.437401i	0.125702	−	0.992068i	$-0.459882\pi$
$29$	5.15777	−	2.35548i	0.957774	−	0.437401i	0.832072	+	0.554667i	$0.187154\pi$
$30$	−13.5380	−	8.53400i	−2.47170	−	1.55809i
$31$	0.987044	−	0.141916i	0.177278	−	0.0254888i	−0.0531039	−	0.998589i	$-0.516911\pi$
$31$	0.987044	−	0.141916i	0.177278	−	0.0254888i	0.230382	+	0.973100i	$0.426002\pi$
$32$	2.12277	−	5.24346i	0.375256	−	0.926921i
$33$	5.42631	+	4.70193i	0.944600	+	0.818500i
$34$	0.517476	−	1.82113i	0.0887464	−	0.312321i
$35$	−0.0238732	−	0.0153424i	−0.00403531	−	0.00259334i
$36$	−1.25269	+	9.94441i	−0.208781	+	1.65740i
$37$	0.984366	+	0.289036i	0.161829	+	0.0475172i	0.361643	−	0.932317i	$-0.382216\pi$
$37$	0.984366	+	0.289036i	0.161829	+	0.0475172i	−0.199815	+	0.979834i	$0.564034\pi$
$38$	5.63075	−	2.63123i	0.913428	−	0.426842i
$39$	−10.1156	+	8.76519i	−1.61979	+	1.40355i
$40$	−10.9297	−	2.90010i	−1.72815	−	0.458546i
$41$	−9.98829	+	2.93283i	−1.55991	+	0.458030i	−0.944043	−	0.329822i	$-0.893011\pi$
$41$	−9.98829	+	2.93283i	−1.55991	+	0.458030i	−0.615865	+	0.787852i	$0.711193\pi$
$42$	−0.00379748	+	0.0281580i	−0.000585965	+	0.00434488i
$43$	5.36737	+	0.771711i	0.818516	+	0.117685i	0.538838	−	0.842409i	$-0.318863\pi$
$43$	5.36737	+	0.771711i	0.818516	+	0.117685i	0.279678	+	0.960094i	$0.409772\pi$
$44$	4.65109	+	2.02653i	0.701178	+	0.305512i
$45$	20.0358			2.98676
$46$	3.38641	+	5.87641i	0.499299	+	0.866430i
$47$			3.50208i			0.510831i	0.966831	+	0.255416i	$0.0822123\pi$
$47$			3.50208i			0.510831i	−0.966831	+	0.255416i	$0.917788\pi$
$48$	2.00222	+	11.1434i	0.288995	+	1.60841i
$49$	0.996197	−	6.92870i	0.142314	−	0.989814i
$50$	−2.07609	+	15.3940i	−0.293603	+	2.17704i
$51$	1.06753	+	3.63568i	0.149484	+	0.509096i
$52$	−4.97328	+	8.04454i	−0.689670	+	1.11558i
$53$	−6.53268	−	7.53912i	−0.897333	−	1.03558i	−0.999168	−	0.0407759i	$-0.987017\pi$
$53$	−6.53268	−	7.53912i	−0.897333	−	1.03558i	0.101836	−	0.994801i	$-0.467528\pi$
$54$	−3.40875	−	7.29462i	−0.463872	−	0.992672i
$55$	2.85724	−	9.73086i	0.385270	−	1.31211i
$56$	0.00337751	+	0.0197904i	0.000451339	+	0.00264461i
$57$	−6.72521	+	10.4646i	−0.890775	+	1.38607i
$58$	−2.19180	+	7.71348i	−0.287797	+	1.01283i
$59$	1.80531	−	2.08343i	0.235031	−	0.271240i	−0.625966	−	0.779850i	$-0.715295\pi$
$59$	1.80531	−	2.08343i	0.235031	−	0.271240i	0.860997	+	0.508610i	$0.169841\pi$
$60$	21.6006	−	6.75504i	2.78862	−	0.872072i
$61$	−0.524763	−	3.64981i	−0.0671891	−	0.467310i	−0.995443	−	0.0953622i	$-0.969599\pi$
$61$	−0.524763	−	3.64981i	−0.0671891	−	0.467310i	0.928254	−	0.371948i	$-0.121310\pi$
$62$	−0.752032	+	1.19300i	−0.0955082	+	0.151511i
$63$	−0.0147773	−	0.0323577i	−0.00186176	−	0.00407669i
$64$	3.70041	+	7.09274i	0.462551	+	0.886593i
$65$	17.1973	+	7.85375i	2.13306	+	0.974138i
$66$	−10.0377	+	1.53292i	−1.23556	+	0.188689i
$67$	3.91437	+	6.09087i	0.478216	+	0.744118i	0.993614	−	0.112832i	$-0.0359923\pi$
$67$	3.91437	+	6.09087i	0.478216	+	0.744118i	−0.515398	+	0.856951i	$0.672356\pi$
$68$	1.48669	+	2.22673i	0.180288	+	0.270030i
$69$	−12.0054	−	6.33514i	−1.44528	−	0.762662i
$70$	0.0384067	−	0.0116430i	0.00459048	−	0.00139161i
$71$	−2.93429	−	4.56585i	−0.348236	−	0.541866i	0.622313	−	0.782768i	$-0.286193\pi$
$71$	−2.93429	−	4.56585i	−0.348236	−	0.541866i	−0.970549	+	0.240902i	$0.922557\pi$
$72$	−9.56025	−	10.4653i	−1.12669	−	1.23335i
$73$	1.90314	−	4.16731i	0.222746	−	0.487746i	−0.764958	−	0.644080i	$-0.777240\pi$
$73$	1.90314	−	4.16731i	0.222746	−	0.487746i	0.987704	+	0.156334i	$0.0499676\pi$
$74$	−1.21365	+	0.795046i	−0.141084	+	0.0924222i
$75$	−12.9149	−	28.2796i	−1.49128	−	3.26545i
$76$	−2.32844	+	8.47559i	−0.267091	+	0.972217i
$77$	−0.0178226	+	0.00256251i	−0.00203108	+	0.000292025i
$78$	−0.165537	−	18.9283i	−0.0187434	−	2.14320i
$79$	−8.45198	+	9.75411i	−0.950922	+	1.09742i	0.0442244	+	0.999022i	$0.485918\pi$
$79$	−8.45198	+	9.75411i	−0.950922	+	1.09742i	−0.995147	+	0.0984013i	$0.968627\pi$
$80$	13.1426	−	9.11108i	1.46939	−	1.01865i
$81$	0.909077	+	0.584228i	0.101009	+	0.0649142i
$82$	5.99836	−	13.4445i	0.662408	−	1.48470i
$83$	−1.27694	+	4.34885i	−0.140162	+	0.477349i	−0.999415	−	0.0342026i	$-0.989111\pi$
$83$	−1.27694	+	4.34885i	−0.140162	+	0.477349i	0.859253	+	0.511551i	$0.170929\pi$
$84$	−0.0268407	−	0.0299027i	−0.00292856	−	0.00326265i
$85$	4.04486	−	3.50489i	0.438727	−	0.380159i
$86$	−5.75145	+	5.07240i	−0.620195	+	0.546970i
$87$	−4.52158	−	15.3991i	−0.484764	−	1.65096i
$88$	−6.44607	+	3.15074i	−0.687154	+	0.335870i
$89$	−10.3787	−	1.49223i	−1.10014	−	0.158176i	−0.431753	−	0.901992i	$-0.642105\pi$
$89$	−10.3787	−	1.49223i	−1.10014	−	0.158176i	−0.668385	+	0.743816i	$0.733014\pi$
$90$	−18.3674	+	21.5756i	−1.93610	+	2.27426i
$91$		−	0.0335660i		−	0.00351868i
$92$	−9.43244	−	1.74043i	−0.983400	−	0.181453i
$93$		−	2.82252i		−	0.292681i
$94$	−3.77122	−	3.21047i	−0.388971	−	0.331134i
$95$	17.3915	+	2.50051i	1.78433	+	0.256547i
$96$	−13.8352	−	8.05940i	−1.41205	−	0.822559i
$97$	−0.444324	−	1.51323i	−0.0451143	−	0.153645i	0.933855	−	0.357651i	$-0.116422\pi$
$97$	−0.444324	−	1.51323i	−0.0451143	−	0.153645i	−0.978970	+	0.204005i	$0.934604\pi$
$98$	6.54792	+	7.42451i	0.661440	+	0.749988i
$99$	9.60761	−	8.32504i	0.965601	−	0.836698i
$100$	−14.6738	−	16.3478i	−1.46738	−	1.63478i
$101$	−3.60347	+	12.2723i	−0.358559	+	1.22114i	0.560877	+	0.827899i	$0.310464\pi$
$101$	−3.60347	+	12.2723i	−0.358559	+	1.22114i	−0.919436	+	0.393240i	$0.871354\pi$
$102$	−4.89371	−	2.18337i	−0.484550	−	0.216185i
$103$	10.1134	+	6.49949i	0.996503	+	0.640413i	0.933866	−	0.357623i	$-0.116413\pi$
$103$	10.1134	+	6.49949i	0.996503	+	0.640413i	0.0626367	+	0.998036i	$0.480049\pi$
$104$	−4.10359	−	12.7302i	−0.402390	−	1.24829i
$105$	−0.0526005	+	0.0607042i	−0.00513328	+	0.00592412i
$106$	14.1072	−	0.123374i	1.37021	−	0.0119832i
$107$	17.6550	−	2.53840i	1.70677	−	0.245397i	0.781284	−	0.624175i	$-0.214565\pi$
$107$	17.6550	−	2.53840i	1.70677	−	0.245397i	0.925487	+	0.378779i	$0.123656\pi$
$108$	10.9801	+	3.01649i	1.05656	+	0.290262i
$109$	−2.43746	−	5.33729i	−0.233466	−	0.511220i	0.756247	−	0.654286i	$-0.227031\pi$
$109$	−2.43746	−	5.33729i	−0.233466	−	0.511220i	−0.989713	+	0.143067i	$0.954304\pi$
$110$	7.85935	+	11.9974i	0.749360	+	1.14391i
$111$	1.20630	−	2.64142i	0.114497	−	0.250713i
$112$	−0.0244076	−	0.0145054i	−0.00230630	−	0.00137063i
$113$	−4.13096	−	6.42790i	−0.388608	−	0.604686i	0.590741	−	0.806861i	$-0.298835\pi$
$113$	−4.13096	−	6.42790i	−0.388608	−	0.604686i	−0.979349	+	0.202175i	$0.935199\pi$
$114$	−5.10362	−	16.8353i	−0.477998	−	1.57677i
$115$	−1.09525	+	19.1423i	−0.102133	+	1.78503i
$116$	−6.29697	−	9.43142i	−0.584659	−	0.875685i
$117$	12.8124	+	19.9366i	1.18451	+	1.84314i
$118$	0.588565	+	3.85399i	0.0541818	+	0.354789i
$119$	−0.00864364	−	0.00394742i	−0.000792362	−	0.000361859i
$120$	−12.5277	+	29.4531i	−1.14362	+	2.68869i
$121$	1.89642	+	4.15259i	0.172402	+	0.377508i
$122$	4.41136	+	2.78080i	0.399386	+	0.251762i
$123$	4.19330	+	29.1651i	0.378097	+	2.62972i
$124$	−0.595266	−	1.90348i	−0.0534565	−	0.170938i
$125$	−15.6661	+	18.0797i	−1.40122	+	1.61710i
$126$	0.0483912	+	0.0137504i	0.00431103	+	0.00122498i
$127$	5.86651	−	9.12847i	0.520569	−	0.810021i	−0.477058	−	0.878872i	$-0.658297\pi$
$127$	5.86651	−	9.12847i	0.520569	−	0.810021i	0.997627	+	0.0688510i	$0.0219333\pi$
$128$	−11.0301	−	2.51735i	−0.974932	−	0.222504i
$129$	4.32413	−	14.7266i	0.380718	−	1.29661i
$130$	−24.2226	+	11.3191i	−2.12446	+	0.992755i
$131$	−3.44775	−	3.97891i	−0.301231	−	0.347639i	0.584873	−	0.811125i	$-0.301144\pi$
$131$	−3.44775	−	3.97891i	−0.301231	−	0.347639i	−0.886105	+	0.463485i	$0.846599\pi$
$132$	7.55117	−	12.2144i	0.657245	−	1.06313i
$133$	−0.00878864	−	0.0299314i	−0.000762072	−	0.00259538i
$134$	−10.1474	−	1.36851i	−0.876599	−	0.118221i
$135$	3.23941	−	22.5306i	0.278804	−	1.93913i
$136$	−3.76075	−	0.440364i	−0.322482	−	0.0377609i
$137$		−	9.20113i		−	0.786106i	−0.919516	−	0.393053i	$-0.871419\pi$
$137$		−	9.20113i		−	0.786106i	0.919516	−	0.393053i	$-0.128581\pi$
$138$	17.8277	−	7.12042i	1.51760	−	0.606131i
$139$	−13.7164			−1.16341			−0.581706	−	0.813399i	$-0.697615\pi$
$139$	−13.7164			−1.16341			−0.581706	+	0.813399i	$0.697615\pi$
$140$	−0.0226709	+	0.0520318i	−0.00191604	+	0.00439749i
$141$	9.81161	+	1.41070i	0.826286	+	0.118802i
$142$	7.60668	+	1.02586i	0.638339	+	0.0860884i
$143$	11.5098	−	3.37958i	0.962497	−	0.282615i
$144$	20.0337	−	0.701087i	1.66948	−	0.0584239i
$145$	−17.1322	+	14.8452i	−1.42275	+	1.23282i
$146$	2.74289	+	5.86970i	0.227003	+	0.485780i
$147$	−19.0105	−	5.58199i	−1.56796	−	0.460395i
$148$	0.256443	−	2.03576i	0.0210795	−	0.167338i
$149$	3.98244	+	2.55936i	0.326254	+	0.209671i	0.693506	−	0.720451i	$-0.256065\pi$
$149$	3.98244	+	2.55936i	0.326254	+	0.209671i	−0.367252	+	0.930121i	$0.619701\pi$
$150$	42.2923	+	12.0174i	3.45315	+	0.981218i
$151$	−0.962553	−	0.834057i	−0.0783314	−	0.0678746i	0.614815	−	0.788671i	$-0.289231\pi$
$151$	−0.962553	−	0.834057i	−0.0783314	−	0.0678746i	−0.693146	+	0.720797i	$0.743776\pi$
$152$	−6.99238	−	10.2772i	−0.567157	−	0.833593i
$153$	6.64066	−	0.954782i	0.536865	−	0.0771896i
$154$	0.0135791	−	0.0215414i	0.00109424	−	0.00173586i
$155$	−3.62648	+	1.65616i	−0.291286	+	0.133026i
$156$	20.5346	+	17.1739i	1.64409	+	1.37501i
$157$	−2.52158	+	5.52148i	−0.201244	+	0.440662i	−0.983166	−	0.182713i	$-0.941512\pi$
$157$	−2.52158	+	5.52148i	−0.201244	+	0.440662i	0.781922	+	0.623376i	$0.214239\pi$
$158$	−2.75551	−	18.0434i	−0.219217	−	1.43546i
$159$	−23.7534	+	15.2654i	−1.88377	+	1.21062i
$160$	−2.23697	+	22.5050i	−0.176848	+	1.77918i
$161$	0.0317225	−	0.0123494i	0.00250008	−	0.000973271i
$162$	−1.46250	+	0.443359i	−0.114905	+	0.0348336i
$163$	−3.46456	+	2.22654i	−0.271365	+	0.174396i	−0.669245	−	0.743042i	$-0.733382\pi$
$163$	−3.46456	+	2.22654i	−0.271365	+	0.174396i	0.397880	+	0.917438i	$0.369746\pi$
$164$	8.97881	+	18.7843i	0.701127	+	1.46681i
$165$	−26.1115	−	11.9247i	−2.03278	−	0.928339i
$166$	−3.51245	−	5.36180i	−0.272619	−	0.416156i
$167$	12.6113	−	5.75940i	0.975894	−	0.445676i	0.137358	−	0.990522i	$-0.456139\pi$
$167$	12.6113	−	5.75940i	0.975894	−	0.445676i	0.838536	+	0.544846i	$0.183412\pi$
$168$	0.0568064	−	0.00149070i	0.00438271	−	0.000115010i
$169$	1.33236	+	9.26674i	0.102489	+	0.712826i
$170$	0.0661924	+	7.56875i	0.00507673	+	0.580497i
$171$	16.6451	+	14.4230i	1.27288	+	1.10296i
$172$	−0.189677	−	10.8435i	−0.0144628	−	0.826806i
$173$	−12.8821	+	20.0449i	−0.979407	+	1.52399i	−0.133230	+	0.991085i	$0.542535\pi$
$173$	−12.8821	+	20.0449i	−0.979407	+	1.52399i	−0.846177	+	0.532902i	$0.821102\pi$
$174$	20.7276	+	9.24776i	1.57135	+	0.701071i
$175$	0.0748061	+	0.0219651i	0.00565481	+	0.00166040i
$176$	2.51644	−	9.82983i	0.189684	−	0.740951i
$177$	−5.10985	−	5.89708i	−0.384080	−	0.443251i
$178$	11.1214	−	9.80830i	0.833581	−	0.735163i
$179$	4.53219	−	1.33077i	0.338751	−	0.0994664i	−0.107932	−	0.994158i	$-0.534423\pi$
$179$	4.53219	−	1.33077i	0.338751	−	0.0994664i	0.446684	+	0.894692i	$0.352605\pi$
$180$	−6.39562	−	39.5579i	−0.476701	−	2.94848i
$181$	1.24421	−	8.65368i	0.0924815	−	0.643223i	−0.889875	−	0.456204i	$-0.849209\pi$
$181$	1.24421	−	8.65368i	0.0924815	−	0.643223i	0.982356	−	0.187018i	$-0.0598824\pi$
$182$	0.0361456	+	0.0307710i	0.00267929	+	0.00228090i
$183$	−10.4369			−0.771515
$184$	10.5212	−	8.56181i	0.775632	−	0.631185i
$185$	−4.10161			−0.301556
$186$	3.03943	+	2.58749i	0.222862	+	0.189724i
$187$	0.483289	−	3.36135i	0.0353416	−	0.245806i
$188$	6.91438	−	1.11790i	0.504283	−	0.0815311i
$189$	−0.0387760	+	0.0113857i	−0.00282054	+	0.000828185i
$190$	−18.6360	+	16.4357i	−1.35200	+	1.19237i
$191$	−12.2511	−	14.1385i	−0.886456	−	1.02302i	−0.999566	−	0.0294419i	$-0.990627\pi$
$191$	−12.2511	−	14.1385i	−0.886456	−	1.02302i	0.113111	−	0.993582i	$-0.463918\pi$
$192$	21.3620	−	7.51018i	1.54167	−	0.542000i
$193$	−0.159062	−	0.0467048i	−0.0114495	−	0.00336189i	0.276003	−	0.961157i	$-0.410990\pi$
$193$	−0.159062	−	0.0467048i	−0.0114495	−	0.00336189i	−0.287452	+	0.957795i	$0.592808\pi$
$194$	2.03685	+	0.908754i	0.146237	+	0.0652447i
$195$	28.9308	−	45.0172i	2.07178	−	3.22375i
$196$	−13.9978	+	0.244853i	−0.999840	+	0.0174895i
$197$	4.64560	+	4.02543i	0.330985	+	0.286800i	0.804460	−	0.594007i	$-0.202455\pi$
$197$	4.64560	+	4.02543i	0.330985	+	0.286800i	−0.473475	+	0.880807i	$0.657000\pi$
$198$	0.157224	+	17.9778i	0.0111735	+	1.27762i
$199$	0.917276	+	6.37979i	0.0650239	+	0.452251i	0.996158	+	0.0875744i	$0.0279115\pi$
$199$	0.917276	+	6.37979i	0.0650239	+	0.452251i	−0.931134	+	0.364677i	$0.881179\pi$
$200$	31.0560	−	0.814967i	2.19599	−	0.0576269i
$201$	18.6413	−	8.51318i	1.31485	−	0.600473i
$202$	−9.91200	−	15.1308i	−0.697406	−	1.06460i
$203$	0.0366106	+	0.0167195i	0.00256956	+	0.00117348i
$204$	6.83738	−	3.26823i	0.478712	−	0.228822i
$205$	35.0119	−	22.5008i	2.44534	−	1.57152i
$206$	−16.2702	+	4.93233i	−1.13360	+	0.343652i
$207$	−14.1277	+	19.4437i	−0.981941	+	1.35143i
$208$	17.4703	+	7.25117i	1.21135	+	0.502778i
$209$	9.37857	−	6.02724i	0.648730	−	0.416913i
$210$	−0.0171488	−	0.112292i	−0.00118338	−	0.00774890i
$211$	1.93182	−	4.23010i	0.132992	−	0.291212i	−0.831407	−	0.555665i	$-0.812464\pi$
$211$	1.93182	−	4.23010i	0.132992	−	0.291212i	0.964399	+	0.264452i	$0.0851911\pi$
$212$	−12.7997	+	15.3044i	−0.879084	+	1.05111i
$213$	−13.9739	+	6.38166i	−0.957474	+	0.437264i
$214$	−13.4514	+	21.3388i	−0.919518	+	1.45869i
$215$	−21.4586	+	3.08528i	−1.46346	+	0.210414i
$216$	−13.3141	+	9.05862i	−0.905911	+	0.616361i
$217$	0.00534936	+	0.00463525i	0.000363139	+	0.000314661i
$218$	7.98195	+	2.26808i	0.540606	+	0.153614i
$219$	−10.9087	−	7.01060i	−0.737142	−	0.473733i
$220$	−20.1243	−	2.53504i	−1.35678	−	0.170912i
$221$	6.07413	+	1.78352i	0.408590	+	0.119973i
$222$	1.73856	+	3.72047i	0.116685	+	0.249702i
$223$	18.7847	−	16.2770i	1.25792	−	1.08999i	0.265883	−	0.964005i	$-0.414337\pi$
$223$	18.7847	−	16.2770i	1.25792	−	1.08999i	0.992032	−	0.125984i	$-0.0402089\pi$
$224$	0.0379953	−	0.0129857i	0.00253867	−	0.000867645i
$225$	−52.8153	+	15.5080i	−3.52102	+	1.03387i
$226$	10.7089	+	1.44423i	0.712343	+	0.0960689i
$227$	−4.90487	−	0.705214i	−0.325548	−	0.0468067i	−0.0223966	−	0.999749i	$-0.507130\pi$
$227$	−4.90487	−	0.705214i	−0.325548	−	0.0468067i	−0.303151	+	0.952942i	$0.598039\pi$
$228$	22.8077	+	9.93759i	1.51048	+	0.658133i
$229$	−8.30938			−0.549099			−0.274550	−	0.961573i	$-0.588529\pi$
$229$	−8.30938			−0.549099			−0.274550	+	0.961573i	$0.588529\pi$
$230$	−19.6093	−	18.7277i	−1.29300	−	1.23487i
$231$			0.0509649i			0.00335325i
$232$	15.9288	+	1.86518i	1.04578	+	0.122455i
$233$	−0.682865	+	4.74943i	−0.0447360	+	0.311146i	0.955151	+	0.296119i	$0.0956924\pi$
$233$	−0.682865	+	4.74943i	−0.0447360	+	0.311146i	−0.999887	+	0.0150268i	$0.995217\pi$
$234$	−33.2142	−	4.47938i	−2.17128	−	0.292826i
$235$	−3.94460	−	13.4341i	−0.257317	−	0.876342i
$236$	−4.68973	−	2.89928i	−0.305275	−	0.188727i
$237$	23.9230	+	27.6086i	1.55397	+	1.79337i
$238$	0.0121747	−	0.00568918i	0.000789167	−	0.000368775i
$239$	−0.121916	+	0.415208i	−0.00788609	+	0.0268575i	−0.963342	−	0.268276i	$-0.913546\pi$
$239$	−0.121916	+	0.415208i	−0.00788609	+	0.0268575i	0.955456	+	0.295134i	$0.0953642\pi$
$240$	−20.2320	−	40.4911i	−1.30597	−	2.61369i
$241$	−2.83180	+	4.40637i	−0.182412	+	0.283839i	−0.920402	−	0.390972i	$-0.872139\pi$
$241$	−2.83180	+	4.40637i	−0.182412	+	0.283839i	0.737990	+	0.674812i	$0.235775\pi$
$242$	−6.21022	−	1.76464i	−0.399208	−	0.113435i
$243$	−9.18229	+	10.5969i	−0.589044	+	0.679793i
$244$	−7.03854	+	2.20113i	−0.450596	+	0.140913i
$245$	3.98276	+	27.7007i	0.254449	+	1.76973i
$246$	−35.2505	−	22.2210i	−2.24749	−	1.41676i
$247$	8.63332	+	18.9043i	0.549325	+	1.20285i
$248$	2.59546	+	1.10397i	0.164812	+	0.0701020i
$249$	11.6696	+	5.32932i	0.739530	+	0.337732i
$250$	−5.10747	−	33.4443i	−0.323025	−	2.11520i
$251$	−8.06651	−	12.5517i	−0.509154	−	0.792259i	0.487575	−	0.873081i	$-0.337882\pi$
$251$	−8.06651	−	12.5517i	−0.509154	−	0.792259i	−0.996729	+	0.0808225i	$0.974245\pi$
$252$	−0.0591688	+	0.0395046i	−0.00372728	+	0.00248855i
$253$	7.42857	+	9.63423i	0.467030	+	0.605699i
$254$	4.45198	+	14.6857i	0.279342	+	0.921463i
$255$	−8.19014	−	12.7441i	−0.512887	−	0.798067i
$256$	12.8224	−	9.57002i	0.801402	−	0.598126i
$257$	−3.45550	+	7.56649i	−0.215548	+	0.471985i	−0.986260	−	0.165199i	$-0.947173\pi$
$257$	−3.45550	+	7.56649i	−0.215548	+	0.471985i	0.770712	+	0.637184i	$0.219901\pi$
$258$	11.8943	+	18.1568i	0.740506	+	1.13039i
$259$	0.00302511	+	0.00662408i	0.000187971	+	0.000411600i
$260$	10.0166	−	36.4607i	0.621203	−	2.26120i
$261$	−28.1268	+	4.04403i	−1.74101	+	0.250319i
$262$	7.44535	−	0.0651132i	0.459975	−	0.00402271i
$263$	−2.94758	+	3.40169i	−0.181756	+	0.209757i	−0.839315	−	0.543646i	$-0.817044\pi$
$263$	−2.94758	+	3.40169i	−0.181756	+	0.209757i	0.657559	+	0.753403i	$0.271589\pi$
$264$	6.23068	+	19.3288i	0.383472	+	1.18961i
$265$	33.5513	+	21.5621i	2.06104	+	1.32455i
$266$	0.0402884	+	0.0179750i	0.00247024	+	0.00110211i
$267$	−8.36140	+	28.4763i	−0.511710	+	1.74272i
$268$	10.7761	−	9.67264i	0.658254	−	0.590850i
$269$	15.8117	−	13.7009i	0.964056	−	0.835360i	−0.0223389	−	0.999750i	$-0.507111\pi$
$269$	15.8117	−	13.7009i	0.964056	−	0.835360i	0.986395	+	0.164391i	$0.0525658\pi$
$270$	21.2924	+	24.1429i	1.29581	+	1.46929i
$271$	−0.513921	−	1.75026i	−0.0312185	−	0.106320i	0.942410	−	0.334460i	$-0.108554\pi$
$271$	−0.513921	−	1.75026i	−0.0312185	−	0.106320i	−0.973628	+	0.228140i	$0.926736\pi$
$272$	3.92180	−	3.64607i	0.237794	−	0.221075i
$273$	−0.0940403	−	0.0135210i	−0.00569158	−	0.000818325i
$274$	9.90824	+	8.43496i	0.598578	+	0.509575i
$275$			27.8625i			1.68017i
$276$	−8.67562	+	25.7253i	−0.522211	+	1.54848i
$277$			7.92699i			0.476287i	0.971230	+	0.238143i	$0.0765388\pi$
$277$			7.92699i			0.476287i	−0.971230	+	0.238143i	$0.923461\pi$
$278$	12.5743	−	14.7705i	0.754155	−	0.885877i
$279$	−4.94657	−	0.711209i	−0.296143	−	0.0425790i
$280$	−0.0352473	−	0.0721123i	−0.00210643	−	0.00430953i
$281$	−9.04388	−	30.8006i	−0.539513	−	1.83741i	−0.546534	−	0.837437i	$-0.684053\pi$
$281$	−9.04388	−	30.8006i	−0.539513	−	1.83741i	0.00702133	−	0.999975i	$-0.497765\pi$
$282$	−10.5137	+	9.27239i	−0.626082	+	0.552163i
$283$	21.4695	−	18.6035i	1.27623	−	1.10586i	0.287244	−	0.957857i	$-0.407261\pi$
$283$	21.4695	−	18.6035i	1.27623	−	1.10586i	0.988987	−	0.148003i	$-0.0472846\pi$
$284$	−8.07798	+	7.25081i	−0.479340	+	0.430257i
$285$	14.0111	−	47.7175i	0.829948	−	2.82654i
$286$	−6.91208	+	15.4925i	−0.408720	+	0.916089i
$287$	−0.0621614	−	0.0399487i	−0.00366927	−	0.00235810i
$288$	−17.6106	+	22.2160i	−1.03771	+	1.30909i
$289$	−9.95903	+	11.4933i	−0.585825	+	0.676078i
$290$	−0.280361	−	32.0578i	−0.0164634	−	1.88250i
$291$	−4.41852	+	0.635287i	−0.259018	+	0.0372412i
$292$	−8.83527	−	2.42725i	−0.517045	−	0.142044i
$293$	−7.50957	−	16.4437i	−0.438714	−	0.960649i	−0.991833	−	0.127547i	$-0.959290\pi$
$293$	−7.50957	−	16.4437i	−0.438714	−	0.960649i	0.553119	−	0.833103i	$-0.313438\pi$
$294$	23.4385	−	15.3543i	1.36696	−	0.895479i
$295$	−4.57850	+	10.0255i	−0.266571	+	0.583709i
$296$	1.95712	+	2.14239i	0.113755	+	0.124524i
$297$	−7.80828	−	12.1499i	−0.453082	−	0.705010i
$298$	−6.40686	+	1.94224i	−0.371140	+	0.112511i
$299$	−19.7478	+	11.1512i	−1.14205	+	0.644892i
$300$	−51.7116	+	34.5257i	−2.98557	+	1.99334i
$301$	0.0208093	+	0.0323799i	0.00119943	+	0.00186635i
$302$	1.78055	−	0.271919i	0.102459	−	0.0156472i
$303$	32.9311	+	15.0391i	1.89184	+	0.863976i
$304$	17.4772	+	1.89170i	1.00238	+	0.108496i
$305$	6.12399	+	13.4097i	0.350659	+	0.767836i
$306$	−5.05954	+	8.02626i	−0.289234	+	0.458831i
$307$	−0.664203	−	4.61963i	−0.0379081	−	0.263656i	0.962049	−	0.272875i	$-0.0879746\pi$
$307$	−0.664203	−	4.61963i	−0.0379081	−	0.263656i	−0.999958	+	0.00921876i	$0.997066\pi$
$308$	0.0107485	+	0.0343703i	0.000612450	+	0.00195843i
$309$	22.2831	−	25.7161i	1.26764	−	1.46294i
$310$	1.54107	−	5.42342i	0.0875270	−	0.308029i
$311$	6.87806	−	10.7025i	0.390019	−	0.606881i	−0.589612	−	0.807686i	$-0.700719\pi$
$311$	6.87806	−	10.7025i	0.390019	−	0.606881i	0.979631	+	0.200805i	$0.0643559\pi$
$312$	−37.3184	+	6.36891i	−2.11274	+	0.360569i
$313$	−0.176488	+	0.601062i	−0.00997567	+	0.0339740i	−0.964330	−	0.264701i	$-0.914727\pi$
$313$	−0.176488	+	0.601062i	−0.00997567	+	0.0339740i	0.954355	+	0.298675i	$0.0965448\pi$
$314$	−3.63420	−	7.77707i	−0.205090	−	0.438886i
$315$	0.0931323	+	0.107480i	0.00524741	+	0.00605584i
$316$	21.9561	+	13.5737i	1.23513	+	0.763579i
$317$	−5.92595	−	20.1819i	−0.332835	−	1.13353i	−0.940629	−	0.339436i	$-0.889764\pi$
$317$	−5.92595	−	20.1819i	−0.332835	−	1.13353i	0.607794	−	0.794094i	$-0.292054\pi$
$318$	5.33696	−	39.5731i	0.299282	−	2.21915i
$319$	−2.04699	+	14.2372i	−0.114610	+	0.797128i
$320$	−22.1838	−	23.0399i	−1.24011	−	1.28797i
$321$		−	50.4856i		−	2.81783i
$322$	−0.0157825	+	0.0454814i	−0.000879523	+	0.00253458i
$323$	5.88337			0.327360
$324$	0.863292	−	1.98134i	0.0479607	−	0.110074i
$325$	−51.4118	−	7.39191i	−2.85182	−	0.410029i
$326$	0.778423	−	5.77195i	0.0431129	−	0.319678i
$327$	−15.9351	+	4.67896i	−0.881211	+	0.258747i
$328$	−28.4590	−	7.55132i	−1.57139	−	0.416952i
$329$	−0.0187866	+	0.0162787i	−0.00103574	+	0.000897474i
$330$	36.7784	−	17.1864i	2.02458	−	0.946080i
$331$	27.5126	+	8.07842i	1.51223	+	0.444030i	0.929557	−	0.368678i	$-0.120189\pi$
$331$	27.5126	+	8.07842i	1.51223	+	0.444030i	0.582671	+	0.812708i	$0.302008\pi$
$332$	8.99382	+	1.13294i	0.493600	+	0.0621784i
$333$	−4.32523	−	2.77966i	−0.237021	−	0.152324i
$334$	−5.35918	+	18.8603i	−0.293242	+	1.03199i
$335$	−21.8761	−	18.9557i	−1.19522	−	1.03566i
$336$	−0.0504709	+	0.0625385i	−0.00275341	+	0.00341175i
$337$	−0.875769	+	0.125917i	−0.0477062	+	0.00685911i	−0.166127	−	0.986104i	$-0.553126\pi$
$337$	−0.875769	+	0.125917i	−0.0477062	+	0.00685911i	0.118420	+	0.992964i	$0.462217\pi$
$338$	−11.2003	−	7.06036i	−0.609215	−	0.384033i
$339$	−19.6727	+	8.98424i	−1.06848	+	0.487957i
$340$	−8.21109	−	6.86723i	−0.445309	−	0.372428i
$341$	−1.05083	+	2.30099i	−0.0569056	+	0.124606i
$342$	−30.7905	+	4.70219i	−1.66496	+	0.254265i
$343$	0.0835984	−	0.0537254i	0.00451389	−	0.00290090i
$344$	11.8507	+	9.73628i	0.638945	+	0.524945i
$345$	53.1887	+	10.7793i	2.86359	+	0.580340i
$346$	−9.77595	−	32.2479i	−0.525558	−	1.73366i
$347$	−7.91430	+	5.08621i	−0.424862	+	0.273042i	−0.735551	−	0.677470i	$-0.763077\pi$
$347$	−7.91430	+	5.08621i	−0.424862	+	0.273042i	0.310689	+	0.950512i	$0.399440\pi$
$348$	−28.9600	+	13.8428i	−1.55242	+	0.742050i
$349$	12.0726	+	5.51339i	0.646234	+	0.295125i	0.711440	−	0.702747i	$-0.248043\pi$
$349$	12.0726	+	5.51339i	0.646234	+	0.295125i	−0.0652064	+	0.997872i	$0.520771\pi$
$350$	−0.0922301	+	0.0604189i	−0.00492991	+	0.00322952i
$351$	24.4905	−	11.1844i	1.30721	−	0.596981i
$352$	8.27834	+	11.7211i	0.441237	+	0.624738i
$353$	−3.90100	−	27.1320i	−0.207629	−	1.44409i	−0.780864	−	0.624701i	$-0.785221\pi$
$353$	−3.90100	−	27.1320i	−0.207629	−	1.44409i	0.573235	−	0.819391i	$-0.305688\pi$
$354$	11.0346	−	0.0965031i	0.586483	−	0.00512908i
$355$	16.3988	+	14.2096i	0.870357	+	0.754169i
$356$	0.366772	+	20.9676i	0.0194389	+	1.11128i
$357$	−0.0145411	+	0.0226264i	−0.000769596	+	0.00119751i
$358$	−2.72176	+	6.10044i	−0.143849	+	0.322418i
$359$	12.6224	+	3.70627i	0.666185	+	0.195610i	0.597304	−	0.802015i	$-0.296239\pi$
$359$	12.6224	+	3.70627i	0.666185	+	0.195610i	0.0688815	+	0.997625i	$0.478057\pi$
$360$	48.4610	+	29.3769i	2.55412	+	1.54830i
$361$	0.205847	+	0.237560i	0.0108341	+	0.0125032i
$362$	8.17810	+	9.27292i	0.429831	+	0.487374i
$363$	12.3980	−	3.64038i	0.650726	−	0.191070i
$364$	−0.0662715	+	0.0107146i	−0.00347357	+	0.000561597i
$365$	−2.60663	+	18.1295i	−0.136437	+	0.948941i
$366$	9.56780	−	11.2389i	0.500117	−	0.587469i
$367$	−3.10221			−0.161934			−0.0809669	−	0.996717i	$-0.525801\pi$
$367$	−3.10221			−0.161934			−0.0809669	+	0.996717i	$0.525801\pi$
$368$	−0.425319	+	19.1786i	−0.0221713	+	0.999754i
$369$	52.1695			2.71584
$370$	3.76007	−	4.41682i	0.195477	−	0.229619i
$371$	0.0100771	−	0.0700880i	0.000523179	−	0.00363879i
$372$	−5.57267	+	0.900974i	−0.288930	+	0.0467133i
$373$	23.2672	−	6.83187i	1.20473	−	0.353741i	0.383071	−	0.923719i	$-0.374867\pi$
$373$	23.2672	−	6.83187i	1.20473	−	0.353741i	0.821660	+	0.569978i	$0.193048\pi$
$374$	3.17662	+	3.60188i	0.164259	+	0.186249i
$375$	44.3423	+	51.1738i	2.28983	+	2.64260i
$376$	−5.13482	+	8.47055i	−0.264808	+	0.436836i
$377$	−25.7273	−	7.55421i	−1.32502	−	0.389062i
$378$	0.0232865	−	0.0521935i	0.00119773	−	0.00268454i
$379$	−1.72522	+	2.68450i	−0.0886188	+	0.137894i	−0.882733	−	0.469875i	$-0.844299\pi$
$379$	−1.72522	+	2.68450i	−0.0886188	+	0.137894i	0.794114	+	0.607769i	$0.207935\pi$
$380$	−0.614596	−	35.1352i	−0.0315281	−	1.80240i
$381$	−23.2116	−	20.1130i	−1.18917	−	1.03042i
$382$	26.4559	−	0.231370i	1.35360	−	0.0118379i
$383$	−4.29539	−	29.8751i	−0.219484	−	1.52655i	−0.739949	−	0.672663i	$-0.765150\pi$
$383$	−4.29539	−	29.8751i	−0.219484	−	1.52655i	0.520465	−	0.853883i	$-0.325759\pi$
$384$	−11.4958	+	29.8884i	−0.586644	+	1.52524i
$385$	0.0654817	−	0.0299045i	0.00333725	−	0.00152407i
$386$	0.196111	−	0.128470i	0.00998179	−	0.00653895i
$387$	−24.7194	−	11.2890i	−1.25656	−	0.573851i
$388$	−2.84583	+	1.36029i	−0.144475	+	0.0690585i
$389$	−14.9907	+	9.63393i	−0.760058	+	0.488460i	−0.862361	−	0.506293i	$-0.831015\pi$
$389$	−14.9907	+	9.63393i	−0.760058	+	0.488460i	0.102303	+	0.994753i	$0.467379\pi$
$390$	21.9550	+	72.4228i	1.11173	+	3.66727i
$391$	0.549192	+	6.39670i	0.0277738	+	0.323495i
$392$	12.5685	−	15.2979i	0.634805	−	0.772663i
$393$	−12.5363	+	8.05661i	−0.632374	+	0.406402i
$394$	−8.59354	+	1.31237i	−0.432936	+	0.0661162i
$395$	21.4354	−	46.9369i	1.07853	−	2.36165i
$396$	−19.5035	−	16.3115i	−0.980087	−	0.819682i
$397$	12.4152	−	5.66982i	0.623100	−	0.284560i	−0.0787399	−	0.996895i	$-0.525090\pi$
$397$	12.4152	−	5.66982i	0.623100	−	0.284560i	0.701839	+	0.712335i	$0.252362\pi$
$398$	−7.71097	−	4.86078i	−0.386516	−	0.243649i
$399$	−0.0873973	+	0.0125658i	−0.00437534	+	0.000629079i
$400$	−27.5924	+	34.1898i	−1.37962	+	1.70949i
$401$	16.1004	+	13.9510i	0.804014	+	0.696682i	0.956535	−	0.291618i	$-0.0941937\pi$
$401$	16.1004	+	13.9510i	0.804014	+	0.696682i	−0.152521	+	0.988300i	$0.548739\pi$
$402$	−7.92160	+	27.8781i	−0.395094	+	1.39043i
$403$	−3.96700	−	2.54944i	−0.197610	−	0.126996i
$404$	25.3802	+	3.19712i	1.26271	+	0.159063i
$405$	−4.14529	−	1.21717i	−0.205981	−	0.0604815i
$406$	−0.0515664	+	0.0240968i	−0.00255920	+	0.00119590i
$407$	−1.96681	+	1.70425i	−0.0974912	+	0.0844766i
$408$	−2.74864	+	10.3589i	−0.136078	+	0.512843i
$409$	−17.3336	+	5.08960i	−0.857091	+	0.251665i	−0.680616	−	0.732641i	$-0.738288\pi$
$409$	−17.3336	+	5.08960i	−0.857091	+	0.251665i	−0.176475	+	0.984305i	$0.556469\pi$
$410$	−7.86653	+	58.3297i	−0.388500	+	2.88070i
$411$	−25.7783	−	3.70637i	−1.27155	−	0.182822i
$412$	9.60405	−	22.0422i	0.473157	−	1.08594i
$413$	0.0195680			0.000962879
$414$	−7.98664	−	33.0380i	−0.392522	−	1.62373i
$415$		−	18.1206i		−	0.889505i
$416$	−23.8240	+	12.1656i	−1.16807	+	0.596466i
$417$	−5.52520	+	38.4286i	−0.270570	+	1.88186i
$418$	−2.10719	+	15.6247i	−0.103066	+	0.764228i
$419$	7.05780	+	24.0366i	0.344796	+	1.17427i	0.931279	+	0.364306i	$0.118694\pi$
$419$	7.05780	+	24.0366i	0.344796	+	1.17427i	−0.586483	+	0.809961i	$0.699488\pi$
$420$	0.136643	+	0.0844751i	0.00666748	+	0.00412196i
$421$	−16.5852	−	19.1403i	−0.808312	−	0.932842i	0.190494	−	0.981688i	$-0.438991\pi$
$421$	−16.5852	−	19.1403i	−0.808312	−	0.932842i	−0.998806	+	0.0488464i	$0.984446\pi$
$422$	2.78422	+	5.95815i	0.135534	+	0.290038i
$423$	4.94460	−	16.8398i	0.240415	−	0.818777i
$424$	−4.74674	−	27.8133i	−0.230522	−	1.35074i
$425$	−7.94961	+	12.3698i	−0.385613	+	0.600025i
$426$	5.93820	−	20.8980i	0.287707	−	1.01251i
$427$	0.0171398	−	0.0197804i	0.000829455	−	0.000957242i
$428$	−10.6474	−	34.0470i	−0.514660	−	1.64573i
$429$	−4.83206	−	33.6077i	−0.233294	−	1.62260i
$430$	16.3493	−	25.9360i	0.788436	−	1.25075i
$431$	2.32863	+	5.09899i	0.112166	+	0.245610i	0.957387	−	0.288807i	$-0.0932586\pi$
$431$	2.32863	+	5.09899i	0.112166	+	0.245610i	−0.845221	+	0.534417i	$0.820531\pi$
$432$	2.45069	−	22.6416i	0.117909	−	1.08935i
$433$	−9.63607	−	4.40065i	−0.463080	−	0.211482i	0.170192	−	0.985411i	$-0.445561\pi$
$433$	−9.63607	−	4.40065i	−0.463080	−	0.211482i	−0.633272	+	0.773929i	$0.718288\pi$
$434$	−0.00989539	+	0.00151118i	−0.000474994	+	7.25391e-5i
$435$	34.6898	+	53.9783i	1.66325	+	2.58806i
$436$	−9.75968	+	6.51614i	−0.467404	+	0.312066i
$437$	−14.6897	+	15.1143i	−0.702704	+	0.723016i
$438$	17.5497	−	5.32020i	0.838558	−	0.254209i
$439$	18.4542	+	28.7153i	0.880770	+	1.37050i	0.928378	+	0.371639i	$0.121204\pi$
$439$	18.4542	+	28.7153i	0.880770	+	1.37050i	−0.0476077	+	0.998866i	$0.515160\pi$
$440$	21.1784	−	19.3469i	1.00964	−	0.922326i
$441$	−14.5729	+	31.9101i	−0.693946	+	1.51953i
$442$	−7.48893	+	4.90591i	−0.356212	+	0.233350i
$443$	4.12427	+	9.03089i	0.195950	+	0.429071i	0.981946	−	0.189161i	$-0.0605767\pi$
$443$	4.12427	+	9.03089i	0.195950	+	0.429071i	−0.785996	+	0.618231i	$0.787849\pi$
$444$	−5.60018	−	1.53850i	−0.265773	−	0.0730140i
$445$	41.4936	−	5.96588i	1.96699	−	0.282810i
$446$	0.307403	+	35.1499i	0.0145560	+	1.66440i
$447$	8.77461	−	10.1264i	0.415025	−	0.478964i
$448$	−0.0208478	+	0.0528197i	−0.000984967	+	0.00249550i
$449$	−9.48906	−	6.09825i	−0.447816	−	0.287794i	0.297231	−	0.954806i	$-0.403937\pi$
$449$	−9.48906	−	6.09825i	−0.447816	−	0.287794i	−0.745047	+	0.667011i	$0.767573\pi$
$450$	31.7177	−	71.0908i	1.49519	−	3.35125i
$451$	7.43971	−	25.3373i	0.350322	−	1.19309i
$452$	−11.3724	+	10.2079i	−0.534911	+	0.480137i
$453$	−2.72447	+	2.36076i	−0.128007	+	0.110918i
$454$	5.25586	−	4.63532i	0.246670	−	0.217546i
$455$	0.0378074	+	0.128760i	0.00177244	+	0.00603637i
$456$	−31.6098	+	15.4504i	−1.48027	+	0.723530i
$457$	11.1790	+	1.60729i	0.522931	+	0.0751861i	0.398725	−	0.917070i	$-0.369453\pi$
$457$	11.1790	+	1.60729i	0.522931	+	0.0751861i	0.124205	+	0.992257i	$0.460362\pi$
$458$	7.61747	−	8.94795i	0.355941	−	0.418110i
$459$		−	7.62190i		−	0.355760i
$460$	38.1434	−	3.94797i	1.77844	−	0.184075i
$461$		−	15.1685i		−	0.706468i	−0.935535	−	0.353234i	$-0.885082\pi$
$461$		−	15.1685i		−	0.706468i	0.935535	−	0.353234i	$-0.114918\pi$
$462$	−0.0548816	−	0.0467211i	−0.00255332	−	0.00217366i
$463$	−37.4165	−	5.37968i	−1.73889	−	0.250015i	−0.801427	−	0.598093i	$-0.795925\pi$
$463$	−37.4165	−	5.37968i	−1.73889	−	0.250015i	−0.937466	+	0.348078i	$0.886834\pi$
$464$	−16.6110	+	15.4431i	−0.771145	+	0.716928i
$465$	3.17916	+	10.8272i	0.147430	+	0.502101i
$466$	−4.48842	−	5.08929i	−0.207922	−	0.235757i
$467$	18.6590	−	16.1681i	0.863436	−	0.748171i	−0.105779	−	0.994390i	$-0.533733\pi$
$467$	18.6590	−	16.1681i	0.863436	−	0.748171i	0.969214	+	0.246218i	$0.0791880\pi$
$468$	35.2721	−	31.6603i	1.63045	−	1.46350i
$469$	−0.0144789	+	0.0493105i	−0.000668571	+	0.00227695i
$470$	18.0826	+	8.06768i	0.834088	+	0.372135i
$471$	14.4535	+	9.28872i	0.665984	+	0.428002i
$472$	7.42130	−	2.39227i	0.341593	−	0.110113i
$473$	−9.00790	+	10.3957i	−0.414184	+	0.477993i
$474$	−51.6613	+	0.451803i	−2.37288	+	0.0207520i
$475$	−47.7801	+	6.86975i	−2.19230	+	0.315206i
$476$	−0.00503450	+	0.0183257i	−0.000230756	+	0.000839959i
$477$	20.7679	+	45.4753i	0.950896	+	2.08217i
$478$	−0.335352	−	0.511919i	−0.0153386	−	0.0234146i
$479$	−1.16105	+	2.54235i	−0.0530497	+	0.116163i	−0.934301	−	0.356486i	$-0.883975\pi$
$479$	−1.16105	+	2.54235i	−0.0530497	+	0.116163i	0.881251	+	0.472649i	$0.156702\pi$
$480$	62.1501	+	15.3326i	2.83675	+	0.699834i
$481$	−2.62289	−	4.08129i	−0.119593	−	0.186091i
$482$	−2.14900	−	7.08888i	−0.0978842	−	0.322890i
$483$	−0.0218204	−	0.0938498i	−0.000992864	−	0.00427031i
$484$	7.59335	−	5.06977i	0.345152	−	0.230444i
$485$	3.40888	+	5.30432i	0.154789	+	0.240857i
$486$	−2.99361	−	19.6025i	−0.135793	−	0.889186i
$487$	−21.9678	−	10.0324i	−0.995457	−	0.454610i	−0.150019	−	0.988683i	$-0.547933\pi$
$487$	−21.9678	−	10.0324i	−0.995457	−	0.454610i	−0.845438	+	0.534073i	$0.820661\pi$
$488$	4.08216	−	9.59728i	0.184791	−	0.434449i
$489$	4.84240	+	10.6034i	0.218981	+	0.479501i
$490$	−33.4806	−	21.1053i	−1.51250	−	0.953439i
$491$	−0.803660	−	5.58958i	−0.0362687	−	0.252254i	0.963618	−	0.267282i	$-0.0861255\pi$
$491$	−0.803660	−	5.58958i	−0.0362687	−	0.252254i	−0.999887	+	0.0150276i	$0.995216\pi$
$492$	56.2438	−	17.5889i	2.53567	−	0.792967i
$493$	−4.97086	+	5.73668i	−0.223876	+	0.258367i
$494$	−28.2715	−	8.03340i	−1.27200	−	0.361440i
$495$	−27.4780	+	42.7567i	−1.23505	+	1.92177i
$496$	−3.56815	+	1.78288i	−0.160215	+	0.0800537i
$497$	0.0108537	−	0.0369641i	0.000486853	−	0.00165807i
$498$	−16.4368	+	7.68084i	−0.736549	+	0.344187i
$499$	−27.8274	−	32.1145i	−1.24572	−	1.43764i	−0.856214	−	0.516621i	$-0.827190\pi$
$499$	−27.8274	−	32.1145i	−1.24572	−	1.43764i	−0.389511	−	0.921022i	$-0.627356\pi$
$500$	40.6966	+	25.1594i	1.82001	+	1.12516i
$501$	−11.0558	−	37.6525i	−0.493935	−	1.68219i
$502$	20.9112	+	2.82015i	0.933310	+	0.125869i
$503$	−2.52584	+	17.5676i	−0.112622	+	0.783302i	0.852730	+	0.522351i	$0.174945\pi$
$503$	−2.52584	+	17.5676i	−0.112622	+	0.783302i	−0.965352	+	0.260950i	$0.915964\pi$
$504$	0.0117014	−	0.0999310i	0.000521221	−	0.00445128i
$505$		−	51.1356i		−	2.27550i
$506$	−17.1846	−	0.832538i	−0.763949	−	0.0370108i
$507$	26.4988			1.17685
$508$	−19.8955	−	8.66872i	−0.882722	−	0.384612i
$509$	37.8500	+	5.44200i	1.67767	+	0.241213i	0.914384	−	0.404848i	$-0.132676\pi$
$509$	37.8500	+	5.44200i	1.67767	+	0.241213i	0.763286	+	0.646061i	$0.223585\pi$
$510$	21.2316	+	2.86337i	0.940153	+	0.126792i
$511$	0.0312015	−	0.00916160i	0.00138027	−	0.000405285i
$512$	−1.44925	+	22.5810i	−0.0640484	+	0.997947i
$513$	18.9101	−	16.3857i	0.834902	−	0.723447i
$514$	−4.98021	−	10.6575i	−0.219668	−	0.470082i
$515$	−46.1160	−	13.5409i	−2.03211	−	0.596682i
$516$	−30.4560	−	3.83652i	−1.34075	−	0.168893i
$517$	−7.47349	−	4.80292i	−0.328684	−	0.211232i
$518$	−0.00990635	−	0.00281490i	−0.000435260	−	0.000123680i
$519$	50.9697	+	44.1655i	2.23732	+	1.93865i
$520$	30.0802	+	44.2110i	1.31910	+	1.93878i
$521$	19.0811	−	2.74344i	0.835957	−	0.120192i	0.288975	−	0.957337i	$-0.406686\pi$
$521$	19.0811	−	2.74344i	0.835957	−	0.120192i	0.546982	+	0.837144i	$0.315777\pi$
$522$	21.4299	−	33.9956i	0.937962	−	1.48795i
$523$	−29.2686	+	13.3665i	−1.27983	+	0.584478i	−0.935153	−	0.354245i	$-0.884738\pi$
$523$	−29.2686	+	13.3665i	−1.27983	+	0.584478i	−0.344675	+	0.938722i	$0.612011\pi$
$524$	−6.75526	+	8.07721i	−0.295105	+	0.352855i
$525$	0.0916715	−	0.200733i	0.00400087	−	0.00876069i
$526$	−0.960970	−	6.29254i	−0.0419003	−	0.274368i
$527$	−1.12303	+	0.721730i	−0.0489202	+	0.0314391i
$528$	−26.5261	−	11.0098i	−1.15440	−	0.479140i
$529$	−17.8043	−	14.5605i	−0.774098	−	0.633066i
$530$	−53.9766	+	16.3630i	−2.34459	+	0.710764i
$531$	−11.6224	+	7.46927i	−0.504370	+	0.324139i
$532$	−0.0562899	+	0.0269063i	−0.00244048	+	0.00116654i
$533$	44.7786	+	20.4497i	1.93958	+	0.885775i
$534$	−22.9996	−	35.1091i	−0.995288	−	1.51932i
$535$	−64.8658	+	29.6232i	−2.80439	+	1.28072i
$536$	0.537207	+	20.4714i	0.0232038	+	0.884231i
$537$	−1.90271	−	13.2337i	−0.0821081	−	0.571074i
$538$	0.258752	+	29.5869i	0.0111556	+	1.27558i
$539$	13.4197	+	11.6282i	0.578027	+	0.500864i
$540$	−45.5176	+	0.796208i	−1.95877	+	0.0342633i
$541$	−6.87078	+	10.6911i	−0.295398	+	0.459648i	−0.956951	−	0.290250i	$-0.906261\pi$
$541$	−6.87078	+	10.6911i	−0.295398	+	0.459648i	0.661553	+	0.749899i	$0.269898\pi$
$542$	2.35589	+	1.05110i	0.101194	+	0.0451485i
$543$	−23.7434	−	6.97168i	−1.01893	−	0.299184i
$544$	0.331029	+	7.56565i	0.0141927	+	0.324375i
$545$	15.3618	+	17.7285i	0.658029	+	0.759406i
$546$	0.100770	−	0.0888722i	0.00431254	−	0.00380338i
$547$	4.03133	−	1.18371i	0.172367	−	0.0506116i	−0.194410	−	0.980920i	$-0.562279\pi$
$547$	4.03133	−	1.18371i	0.172367	−	0.0506116i	0.366777	+	0.930309i	$0.380461\pi$
$548$	−18.1664	+	2.93709i	−0.776029	+	0.125466i
$549$	−2.62985	+	18.2910i	−0.112239	+	0.780641i
$550$	−30.0038	−	25.5424i	−1.27936	−	1.08913i
$551$	−24.9193			−1.06160
$552$	−19.7491	−	32.9255i	−0.840577	−	1.40140i
$553$	−0.0916124			−0.00389576
$554$	−8.53618	−	7.26692i	−0.362667	−	0.308742i
$555$	−1.65220	+	11.4913i	−0.0701318	+	0.487777i
$556$	4.37841	+	27.0812i	0.185686	+	1.14850i
$557$	−36.2177	+	10.6345i	−1.53459	+	0.450598i	−0.936453	−	0.350793i	$-0.885912\pi$
$557$	−36.2177	+	10.6345i	−1.53459	+	0.450598i	−0.598141	+	0.801391i	$0.704094\pi$
$558$	5.30054	−	4.67472i	0.224390	−	0.197897i
$559$	−16.7923	−	19.3793i	−0.710237	−	0.819657i
$560$	0.109966	+	0.0281515i	0.00464693	+	0.00118962i
$561$	−9.22264	−	2.70801i	−0.389380	−	0.114332i
$562$	41.4585	+	18.4970i	1.74882	+	0.780249i
$563$	24.7013	−	38.4360i	1.04104	−	1.61988i	0.293138	−	0.956070i	$-0.405301\pi$
$563$	24.7013	−	38.4360i	1.04104	−	1.61988i	0.747898	−	0.663813i	$-0.231063\pi$
$564$	−0.346732	−	19.8220i	−0.0146001	−	0.834655i
$565$	23.0866	+	20.0046i	0.971260	+	0.841601i
$566$	0.351340	+	40.1738i	0.0147679	+	1.68863i
$567$	0.00109161	+	0.00759233i	4.58434e−5	+	0.000318848i
$568$	−0.402702	−	15.3458i	−0.0168970	−	0.643896i
$569$	−23.5814	+	10.7693i	−0.988583	+	0.451471i	−0.843022	−	0.537878i	$-0.819226\pi$
$569$	−23.5814	+	10.7693i	−0.988583	+	0.451471i	−0.145561	+	0.989349i	$0.546499\pi$
$570$	38.5402	+	58.8320i	1.61427	+	2.46420i
$571$	28.5011	+	13.0160i	1.19273	+	0.544704i	0.910046	−	0.414508i	$-0.136046\pi$
$571$	28.5011	+	13.0160i	1.19273	+	0.544704i	0.282689	+	0.959212i	$0.408774\pi$
$572$	−10.3465	−	21.6457i	−0.432611	−	0.905052i
$573$	−44.5460	+	28.6280i	−1.86093	+	1.19595i
$574$	0.100004	−	0.0303162i	0.00417409	−	0.00126538i
$575$	−11.9292	−	51.3077i	−0.497483	−	2.13968i
$576$	−7.77915	−	39.3300i	−0.324131	−	1.63875i
$577$	16.7661	−	10.7749i	0.697982	−	0.448566i	−0.142934	−	0.989732i	$-0.545654\pi$
$577$	16.7661	−	10.7749i	0.697982	−	0.448566i	0.840915	+	0.541167i	$0.182017\pi$
$578$	−3.24684	−	21.2607i	−0.135051	−	0.884327i
$579$	−0.194923	+	0.426822i	−0.00810073	+	0.0177381i
$580$	34.7785	+	29.0865i	1.44410	+	1.20775i
$581$	−0.0292647	+	0.0133647i	−0.00121410	+	0.000554462i
$582$	3.36648	−	5.34047i	0.139545	−	0.221370i
$583$	25.0478	−	3.60133i	1.03737	−	0.149152i
$584$	10.7134	−	7.28912i	0.443322	−	0.301626i
$585$	−71.6045	−	62.0457i	−2.96048	−	2.56527i
$586$	24.5916	+	6.98774i	1.01587	+	0.288661i
$587$	1.02855	+	0.661008i	0.0424527	+	0.0272827i	0.561695	−	0.827344i	$-0.310149\pi$
$587$	1.02855	+	0.661008i	0.0424527	+	0.0272827i	−0.519242	+	0.854627i	$0.673786\pi$
$588$	−4.95253	+	39.3154i	−0.204239	+	1.62134i
$589$	−4.20496	−	1.23469i	−0.173262	−	0.0508744i
$590$	−6.59872	−	14.1211i	−0.271665	−	0.581355i
$591$	13.1492	−	11.3938i	0.540884	−	0.468679i
$592$	−4.10118	+	0.143522i	−0.168558	+	0.00589873i
$593$	22.7741	−	6.68707i	0.935220	−	0.274605i	0.221599	−	0.975138i	$-0.428872\pi$
$593$	22.7741	−	6.68707i	0.935220	−	0.274605i	0.713620	+	0.700533i	$0.247054\pi$
$594$	20.2417	+	2.72986i	0.830528	+	0.112008i
$595$	0.0376034	+	0.00540656i	0.00154159	+	0.000221647i
$596$	3.78186	−	8.67974i	0.154911	−	0.355536i
$597$	18.2434			0.746654
$598$	6.09526	−	31.4881i	0.249254	−	1.28764i
$599$			18.4287i			0.752978i	0.926421	+	0.376489i	$0.122869\pi$
$599$			18.4287i			0.752978i	−0.926421	+	0.376489i	$0.877131\pi$
$600$	10.2266	−	87.3364i	0.417500	−	3.56549i
$601$	−3.27859	+	22.8031i	−0.133737	+	0.930158i	0.806887	+	0.590706i	$0.201151\pi$
$601$	−3.27859	+	22.8031i	−0.133737	+	0.930158i	−0.940623	+	0.339452i	$0.889758\pi$
$602$	−0.0539449	−	0.00727518i	−0.00219863	−	0.000296514i
$603$	−10.2225	−	34.8146i	−0.416292	−	1.41776i
$604$	−1.33947	+	2.16667i	−0.0545024	+	0.0881604i
$605$	−11.9520	−	13.7934i	−0.485919	−	0.560780i
$606$	−46.3839	+	21.6750i	−1.88422	+	0.880487i
$607$	6.63777	−	22.6062i	0.269419	−	0.917556i	−0.707994	−	0.706218i	$-0.750400\pi$
$607$	6.63777	−	22.6062i	0.269419	−	0.917556i	0.977413	−	0.211338i	$-0.0677820\pi$
$608$	−18.0589	+	17.0861i	−0.732386	+	0.692932i
$609$	0.0615895	−	0.0958351i	0.00249573	−	0.00388344i
$610$	−20.0543	−	5.69844i	−0.811973	−	0.230723i
$611$	10.8450	−	12.5158i	0.438743	−	0.506336i
$612$	−4.00485	−	12.8063i	−0.161886	−	0.517663i
$613$	−4.58717	−	31.9044i	−0.185274	−	1.28861i	−0.844048	−	0.536267i	$-0.819834\pi$
$613$	−4.58717	−	31.9044i	−0.185274	−	1.28861i	0.658774	−	0.752341i	$-0.271075\pi$
$614$	5.58355	+	3.51971i	0.225334	+	0.142044i
$615$	−48.9359	−	107.155i	−1.97329	−	4.32089i
$616$	−0.0468651	−	0.0199339i	−0.00188825	−	0.000803158i
$617$	−14.8644	−	6.78835i	−0.598419	−	0.273289i	0.0930891	−	0.995658i	$-0.470326\pi$
$617$	−14.8644	−	6.78835i	−0.598419	−	0.273289i	−0.691508	+	0.722369i	$0.743053\pi$
$618$	7.26474	+	47.5703i	0.292231	+	1.91356i
$619$	17.6043	+	27.3928i	0.707575	+	1.10101i	0.989911	+	0.141692i	$0.0452544\pi$
$619$	17.6043	+	27.3928i	0.707575	+	1.10101i	−0.282336	+	0.959316i	$0.591109\pi$
$620$	4.42746	+	6.63132i	0.177811	+	0.266320i
$621$	19.5806	+	19.0305i	0.785741	+	0.763667i
$622$	5.21962	+	17.2179i	0.209288	+	0.690375i
$623$	−0.0402382	−	0.0626119i	−0.00161211	−	0.00250849i
$624$	27.3526	−	46.0249i	1.09498	−	1.84247i
$625$	16.9174	−	37.0439i	0.676695	−	1.48175i
$626$	−0.485461	−	0.741062i	−0.0194029	−	0.0296188i
$627$	−13.1084	−	28.7033i	−0.523498	−	1.14630i
$628$	11.7063	+	3.21600i	0.467133	+	0.128332i
$629$	−1.35943	+	0.195457i	−0.0542042	+	0.00779339i
$630$	−0.201118	+	0.00175887i	−0.00801271	+	7.00751e-5i
$631$	−18.7152	+	21.5985i	−0.745042	+	0.859824i	−0.994078	−	0.108670i	$-0.965341\pi$
$631$	−18.7152	+	21.5985i	−0.745042	+	0.859824i	0.249036	+	0.968494i	$0.419886\pi$
$632$	−34.7446	+	11.2000i	−1.38207	+	0.445512i
$633$	−11.0731	−	7.11625i	−0.440116	−	0.282845i
$634$	27.1654	+	12.1200i	1.07888	+	0.481349i
$635$	−12.2221	+	41.6248i	−0.485021	+	1.65183i
$636$	37.7217	+	42.0250i	1.49576	+	1.66640i
$637$	−25.0166	+	21.6770i	−0.991194	+	0.858875i
$638$	−13.4547	−	15.2559i	−0.532678	−	0.603989i
$639$	7.66300	+	26.0978i	0.303144	+	1.03241i
$640$	45.1471	−	2.76722i	1.78460	−	0.109384i
$641$	42.2026	+	6.06782i	1.66690	+	0.239664i	0.910222	−	0.414120i	$-0.135911\pi$
$641$	42.2026	+	6.06782i	1.66690	+	0.239664i	0.756681	+	0.653785i	$0.226820\pi$
$642$	54.3654	+	46.2817i	2.14563	+	1.82659i
$643$		−	6.78964i		−	0.267757i	−0.990998	−	0.133879i	$-0.957257\pi$
$643$		−	6.78964i		−	0.267757i	0.990998	−	0.133879i	$-0.0427432\pi$
$644$	−0.0345083	−	0.0586896i	−0.00135982	−	0.00231269i
$645$			61.3622i			2.41613i
$646$	−5.39347	+	6.33551i	−0.212203	+	0.249267i
$647$	−9.32478	−	1.34070i	−0.366595	−	0.0527084i	−0.0434440	−	0.999056i	$-0.513833\pi$
$647$	−9.32478	−	1.34070i	−0.366595	−	0.0527084i	−0.323151	+	0.946347i	$0.604742\pi$
$648$	1.34220	+	2.74599i	0.0527264	+	0.107873i
$649$	1.97019	+	6.70986i	0.0773369	+	0.263385i
$650$	55.0908	−	48.5864i	2.16084	−	1.90572i
$651$	0.0151412	−	0.0131199i	0.000593429	−	0.000514209i
$652$	5.50191	+	6.12956i	0.215471	+	0.240052i
$653$	−5.69947	+	19.4106i	−0.223038	+	0.759596i	0.769606	+	0.638519i	$0.220453\pi$
$653$	−5.69947	+	19.4106i	−0.223038	+	0.759596i	−0.992643	+	0.121077i	$0.961365\pi$
$654$	9.56963	−	21.4490i	0.374202	−	0.838722i
$655$	17.7073	+	11.3798i	0.691882	+	0.444646i
$656$	34.2209	−	23.7236i	1.33610	−	0.926249i
$657$	−15.0351	+	17.3514i	−0.586575	+	0.676944i
$658$	−0.000307435	−	0.0351536i	−1.19851e−5	−	0.00137043i
$659$	11.0733	−	1.59211i	0.431356	−	0.0620196i	0.0767826	−	0.997048i	$-0.475535\pi$
$659$	11.0733	−	1.59211i	0.431356	−	0.0620196i	0.354573	+	0.935028i	$0.384626\pi$
$660$	−15.2087	+	55.3601i	−0.591997	+	2.15489i
$661$	−4.76091	−	10.4249i	−0.185178	−	0.405483i	0.794161	−	0.607707i	$-0.207910\pi$
$661$	−4.76091	−	10.4249i	−0.185178	−	0.405483i	−0.979339	+	0.202224i	$0.935183\pi$
$662$	−33.9209	+	22.2212i	−1.31837	+	0.863650i
$663$	7.44357	−	16.2991i	0.289084	−	0.633006i
$664$	−9.46493	+	8.64639i	−0.367310	+	0.335545i
$665$	0.0674268	+	0.104918i	0.00261470	+	0.00406855i
$666$	6.95835	−	2.10943i	0.269630	−	0.0817386i
$667$	−2.32613	−	27.0935i	−0.0900681	−	1.04907i
$668$	−15.3968	−	23.0609i	−0.595720	−	0.892252i
$669$	−38.0357	−	59.1847i	−1.47055	−	2.28821i
$670$	40.4670	−	6.17995i	1.56338	−	0.238752i
$671$	8.50842	+	3.88567i	0.328464	+	0.150004i
$672$	−0.0210763	−	0.111680i	−0.000813036	−	0.00430817i
$673$	19.1429	+	41.9171i	0.737905	+	1.61579i	0.786970	+	0.616991i	$0.211648\pi$
$673$	19.1429	+	41.9171i	0.737905	+	1.61579i	−0.0490656	+	0.998796i	$0.515624\pi$
$674$	0.667251	−	1.05850i	0.0257016	−	0.0407720i
$675$	8.89974	+	61.8991i	0.342551	+	2.38250i
$676$	17.8706	−	5.58858i	0.687330	−	0.214945i
$677$	10.9858	−	12.6783i	0.422218	−	0.487265i	−0.504294	−	0.863532i	$-0.668247\pi$
$677$	10.9858	−	12.6783i	0.422218	−	0.487265i	0.926511	+	0.376267i	$0.122793\pi$
$678$	8.35993	−	29.4207i	0.321061	−	1.12990i
$679$	0.00605225	−	0.00941748i	0.000232264	−	0.000361410i
$680$	14.9223	−	2.54670i	0.572245	−	0.0976616i
$681$	−3.95153	+	13.4577i	−0.151423	+	0.515699i
$682$	−1.51450	−	3.24098i	−0.0579931	−	0.124103i
$683$	2.23021	+	2.57380i	0.0853365	+	0.0984836i	0.796812	−	0.604227i	$-0.206518\pi$
$683$	2.23021	+	2.57380i	0.0853365	+	0.0984836i	−0.711475	+	0.702711i	$0.751973\pi$
$684$	23.1630	−	37.4673i	0.885660	−	1.43260i
$685$	10.3638	+	35.2958i	0.395979	+	1.34858i
$686$	−0.0187830	+	0.139275i	−0.000717139	+	0.00531753i
$687$	−3.34715	+	23.2800i	−0.127702	+	0.888186i
$688$	−21.3484	+	3.83583i	−0.813899	+	0.146240i
$689$			47.1735i			1.79717i
$690$	−60.3675	+	47.3945i	−2.29815	+	1.80428i
$691$	3.12282			0.118798			0.0593988	−	0.998234i	$-0.481082\pi$
$691$	3.12282			0.118798			0.0593988	+	0.998234i	$0.481082\pi$
$692$	43.6880	+	19.0354i	1.66077	+	0.723616i
$693$	0.0893180	+	0.0128420i	0.00339291	+	0.000487827i
$694$	1.77820	−	13.1852i	0.0674995	−	0.500503i
$695$	52.6165	−	15.4496i	1.99586	−	0.586037i
$696$	11.6420	−	43.8757i	0.441288	−	1.66310i
$697$	10.5321	−	9.12609i	0.398930	−	0.345675i
$698$	−17.0045	+	7.94612i	−0.643628	+	0.300765i
$699$	13.0312	+	3.82630i	0.492884	+	0.144724i
$700$	0.0194882	−	0.154706i	0.000736583	−	0.00584733i
$701$	−8.64600	−	5.55645i	−0.326555	−	0.209864i	0.367083	−	0.930188i	$-0.380357\pi$
$701$	−8.64600	−	5.55645i	−0.326555	−	0.209864i	−0.693638	+	0.720324i	$0.743993\pi$
$702$	−10.4072	+	36.6257i	−0.392796	+	1.38235i
$703$	−3.40748	−	2.95259i	−0.128515	−	0.111359i
$704$	−20.2109	−	1.83059i	−0.761727	−	0.0689931i
$705$	−39.2265	+	5.63992i	−1.47735	+	0.212412i
$706$	32.7933	+	20.6720i	1.23419	+	0.778000i
$707$	−0.0825837	+	0.0377147i	−0.00310588	+	0.00141841i
$708$	−10.0119	+	11.9711i	−0.376268	+	0.449901i
$709$	−15.5778	+	34.1106i	−0.585037	+	1.28105i	0.353358	+	0.935488i	$0.385040\pi$
$709$	−15.5778	+	34.1106i	−0.585037	+	1.28105i	−0.938395	+	0.345564i	$0.887688\pi$
$710$	−30.3349	+	4.63262i	−1.13845	+	0.173859i
$711$	54.4132	−	34.9692i	2.04065	−	1.31145i
$712$	−22.9152	−	18.8267i	−0.858783	−	0.705560i
$713$	0.949895	−	4.68709i	0.0355738	−	0.175533i
$714$	−0.0110349	−	0.0364009i	−0.000412972	−	0.00136227i
$715$	−40.3452	+	25.9283i	−1.50882	+	0.969663i
$716$	−4.07414	−	8.52338i	−0.152258	−	0.318534i
$717$	1.11416	+	0.508818i	0.0416089	+	0.0190022i
$718$	−15.5624	+	10.1948i	−0.580785	+	0.380466i
$719$	35.2950	−	16.1187i	1.31628	−	0.601125i	0.371380	−	0.928481i	$-0.378885\pi$
$719$	35.2950	−	16.1187i	1.31628	−	0.601125i	0.944901	+	0.327356i	$0.106158\pi$
$720$	−76.0602	+	25.2545i	−2.83459	+	0.941181i
$721$	0.0121441	+	0.0844640i	0.000452270	+	0.00314560i
$722$	−0.444523	+	0.00388757i	−0.0165434	+	0.000144680i
$723$	11.2044	+	9.70868i	0.416697	+	0.361070i
$724$	−17.4827	+	0.305812i	−0.649738	+	0.0113654i
$725$	33.6710	−	52.3931i	1.25051	−	1.94583i
$726$	−7.44548	+	16.6880i	−0.276328	+	0.619351i
$727$	−37.0175	−	10.8693i	−1.37290	−	0.403120i	−0.489609	−	0.871942i	$-0.662860\pi$
$727$	−37.0175	−	10.8693i	−1.37290	−	0.403120i	−0.883293	+	0.468822i	$0.844679\pi$
$728$	0.0492151	−	0.0811869i	0.00182403	−	0.00300899i
$729$	28.1131	+	32.4442i	1.04122	+	1.20164i
$730$	−17.1332	−	19.4268i	−0.634127	−	0.719019i
$731$	−6.96519	+	2.04516i	−0.257617	+	0.0756431i
$732$	3.33155	+	20.6062i	0.123137	+	0.761625i
$733$	2.42060	−	16.8356i	0.0894069	−	0.621838i	−0.895018	−	0.446031i	$-0.852837\pi$
$733$	2.42060	−	16.8356i	0.0894069	−	0.621838i	0.984425	−	0.175808i	$-0.0562537\pi$
$734$	2.84389	−	3.34061i	0.104970	−	0.123304i
$735$	79.2120			2.92178
$736$	−20.2626	−	18.0396i	−0.746888	−	0.664949i
$737$	−18.3663			−0.676533
$738$	−47.8254	+	56.1787i	−1.76048	+	2.06797i
$739$	−0.698212	+	4.85617i	−0.0256842	+	0.178637i	−0.998625	−	0.0524156i	$-0.983308\pi$
$739$	−0.698212	+	4.85617i	−0.0256842	+	0.178637i	0.972941	+	0.231053i	$0.0742170\pi$
$740$	1.30927	+	8.09806i	0.0481298	+	0.297691i
$741$	56.4409	−	16.5726i	2.07341	−	0.608808i
$742$	0.0662362	+	0.0751034i	0.00243161	+	0.00275713i
$743$	30.5275	+	35.2306i	1.11994	+	1.29248i	0.951799	+	0.306722i	$0.0992322\pi$
$743$	30.5275	+	35.2306i	1.11994	+	1.29248i	0.168145	+	0.985762i	$0.446222\pi$
$744$	4.13843	−	6.82688i	0.151722	−	0.250285i
$745$	−18.1595	−	5.33210i	−0.665311	−	0.195353i
$746$	−13.9729	+	31.3183i	−0.511583	+	1.14664i
$747$	12.2803	−	19.1085i	0.449313	−	0.699145i
$748$	−6.79079	+	0.118787i	−0.248296	+	0.00434327i
$749$	0.0956826	+	0.0829094i	0.00349617	+	0.00302945i
$750$	−95.7565	+	0.837437i	−3.49653	+	0.0305789i
$751$	−2.90033	−	20.1723i	−0.105835	−	0.736096i	−0.971768	−	0.235937i	$-0.924184\pi$
$751$	−2.90033	−	20.1723i	−0.105835	−	0.736096i	0.865934	−	0.500159i	$-0.166725\pi$
$752$	−4.41427	−	13.2946i	−0.160972	−	0.484806i
$753$	−38.4149	+	17.5435i	−1.39992	+	0.639320i
$754$	31.7197	−	20.7792i	1.15516	−	0.756735i
$755$	4.63182	+	2.11528i	0.168569	+	0.0769830i
$756$	0.0348571	+	0.0729235i	0.00126774	+	0.00265220i
$757$	−41.9321	+	26.9482i	−1.52405	+	0.979447i	−0.532976	+	0.846130i	$0.678926\pi$
$757$	−41.9321	+	26.9482i	−1.52405	+	0.979447i	−0.991073	+	0.133317i	$0.957437\pi$
$758$	−1.30924	−	4.31877i	−0.0475536	−	0.156865i
$759$	29.9841	−	16.9314i	1.08835	−	0.614572i
$760$	38.3988	+	31.5477i	1.39287	+	1.14436i
$761$	8.33807	−	5.35855i	0.302255	−	0.194247i	−0.380718	−	0.924691i	$-0.624323\pi$
$761$	8.33807	−	5.35855i	0.302255	−	0.194247i	0.682973	+	0.730444i	$0.260687\pi$
$762$	42.9375	−	6.55723i	1.55546	−	0.237544i
$763$	0.0173014	−	0.0378848i	0.000626354	−	0.00137152i
$764$	−24.0038	+	28.7012i	−0.868428	+	1.03837i
$765$	−24.3983	+	11.1423i	−0.882122	+	0.402851i
$766$	36.1087	+	22.7619i	1.30466	+	0.822422i
$767$	−12.9037	+	1.85527i	−0.465926	+	0.0669900i
$768$	−21.6467	−	39.7789i	−0.781110	−	1.43540i
$769$	7.34909	+	6.36802i	0.265015	+	0.229637i	0.777224	−	0.629224i	$-0.216627\pi$
$769$	7.34909	+	6.36802i	0.265015	+	0.229637i	−0.512209	+	0.858861i	$0.671173\pi$
$770$	−0.0278264	+	0.0979282i	−0.00100280	+	0.00352909i
$771$	19.8067	+	12.7290i	0.713322	+	0.458424i
$772$	−0.0414381	+	0.328955i	−0.00149139	+	0.0118393i
$773$	7.74770	+	2.27493i	0.278665	+	0.0818236i	0.418079	−	0.908411i	$-0.362704\pi$
$773$	7.74770	+	2.27493i	0.278665	+	0.0818236i	−0.139413	+	0.990234i	$0.544522\pi$
$774$	34.8175	−	16.2701i	1.25149	−	0.584817i
$775$	8.27767	−	7.17264i	0.297343	−	0.257649i
$776$	1.14403	−	4.31156i	0.0410682	−	0.154776i
$777$	0.0197769	−	0.00580702i	0.000709492	−	0.000208326i
$778$	3.36813	−	24.9744i	0.120753	−	0.895377i
$779$	45.2841	+	6.51087i	1.62247	+	0.233276i
$780$	−98.1153	−	42.7500i	−3.51309	−	1.53069i
$781$	13.7678			0.492650
$782$	−7.39174	−	5.27265i	−0.264328	−	0.188550i
$783$			32.2829i			1.15370i
$784$	4.95164	+	27.5585i	0.176844	+	0.984232i
$785$	3.45366	−	24.0207i	0.123266	−	0.857337i
$786$	2.81668	−	20.8855i	0.100468	−	0.744960i
$787$	−6.37076	−	21.6968i	−0.227093	−	0.773408i	−0.991662	−	0.128866i	$-0.958866\pi$
$787$	−6.37076	−	21.6968i	−0.227093	−	0.773408i	0.764569	−	0.644542i	$-0.222952\pi$
$788$	6.46474	−	10.4570i	0.230297	−	0.372517i
$789$	8.34301	+	9.62835i	0.297019	+	0.342778i
$790$	30.8935	+	66.1112i	1.09914	+	2.35213i
$791$	0.0152800	−	0.0520390i	0.000543295	−	0.00185029i
$792$	35.4445	−	6.04909i	1.25946	−	0.214945i
$793$	−9.42709	+	14.6688i	−0.334766	+	0.520906i
$794$	−5.27583	+	18.5670i	−0.187232	+	0.658917i
$795$	73.9244	−	85.3133i	2.62183	−	3.02575i
$796$	12.3032	−	3.84752i	0.436076	−	0.136372i
$797$	6.97070	+	48.4823i	0.246915	+	1.71733i	0.615840	+	0.787871i	$0.288817\pi$
$797$	6.97070	+	48.4823i	0.246915	+	1.71733i	−0.368925	+	0.929459i	$0.620274\pi$
$798$	0.0665883	−	0.105633i	0.00235720	−	0.00373938i
$799$	−1.94758	−	4.26460i	−0.0689004	−	0.150871i
$800$	−11.5224	−	61.0557i	−0.407379	−	2.15865i
$801$	47.7990	+	21.8291i	1.68889	+	0.771292i
$802$	−29.7829	+	4.54832i	−1.05167	+	0.160607i
$803$	6.28302	+	9.77657i	0.221723	+	0.345008i
$804$	−22.7586	−	34.0871i	−0.802632	−	1.20216i
$805$	−0.107778	+	0.0831035i	−0.00379868	+	0.00292901i
$806$	6.38203	−	1.93472i	0.224797	−	0.0681474i
$807$	−32.0159	−	49.8178i	−1.12701	−	1.75367i
$808$	−26.7096	+	24.3998i	−0.939642	+	0.858381i
$809$	2.97876	−	6.52258i	0.104728	−	0.229322i	−0.850013	−	0.526762i	$-0.823406\pi$
$809$	2.97876	−	6.52258i	0.104728	−	0.229322i	0.954740	+	0.297441i	$0.0961331\pi$
$810$	5.11082	−	3.34804i	0.179576	−	0.117638i
$811$	11.6643	+	25.5413i	0.409590	+	0.896878i	0.996207	+	0.0870133i	$0.0277323\pi$
$811$	11.6643	+	25.5413i	0.409590	+	0.896878i	−0.586617	+	0.809865i	$0.699540\pi$
$812$	0.0213239	−	0.0776196i	0.000748322	−	0.00272391i
$813$	−5.11062	+	0.734796i	−0.179237	+	0.0257704i
$814$	−0.0321860	−	3.68030i	−0.00112812	−	0.128994i
$815$	10.7823	−	12.4434i	0.377686	−	0.435873i
$816$	−8.63523	−	12.4562i	−0.302294	−	0.436054i
$817$	−20.0480	−	12.8841i	−0.701391	−	0.450757i
$818$	10.4095	−	23.3315i	0.363960	−	0.815765i
$819$	−0.0473920	+	0.161402i	−0.00165601	+	0.00563985i
$820$	−55.6008	−	61.9437i	−1.94166	−	2.16317i
$821$	−11.3723	+	9.85419i	−0.396897	+	0.343913i	−0.830330	−	0.557273i	$-0.811848\pi$
$821$	−11.3723	+	9.85419i	−0.396897	+	0.343913i	0.433432	+	0.901186i	$0.357302\pi$
$822$	27.6230	−	24.3617i	0.963463	−	0.849710i
$823$	9.44026	+	32.1506i	0.329067	+	1.12070i	0.943401	+	0.331653i	$0.107606\pi$
$823$	9.44026	+	32.1506i	0.329067	+	1.12070i	−0.614335	+	0.789046i	$0.710576\pi$
$824$	14.9318	+	30.5489i	0.520174	+	1.06422i
$825$	78.0610	+	11.2235i	2.71774	+	0.390752i
$826$	−0.0179386	+	0.0210718i	−0.000624164	+	0.000733182i
$827$		−	2.37857i		−	0.0827108i	−0.999144	−	0.0413554i	$-0.986832\pi$
$827$		−	2.37857i		−	0.0827108i	0.999144	−	0.0413554i	$-0.0131676\pi$
$828$	42.8985	+	21.6865i	1.49083	+	0.753659i
$829$			13.0341i			0.452692i	0.974047	+	0.226346i	$0.0726780\pi$
$829$			13.0341i			0.452692i	−0.974047	+	0.226346i	$0.927322\pi$
$830$	19.5131	+	16.6117i	0.677311	+	0.576601i
$831$	22.2087	+	3.19312i	0.770410	+	0.110768i
$832$	8.73974	−	36.8074i	0.302996	−	1.27607i
$833$	2.64009	+	8.99132i	0.0914736	+	0.311531i
$834$	−36.3167	−	41.1785i	−1.25755	−	1.42590i
$835$	−41.8902	+	36.2981i	−1.44967	+	1.25615i
$836$	−14.8937	−	16.5927i	−0.515109	−	0.573872i
$837$	−1.59953	+	5.44751i	−0.0552880	+	0.188294i
$838$	−32.3539	−	14.4350i	−1.11765	−	0.498647i
$839$	−21.4775	−	13.8028i	−0.741487	−	0.476525i	0.114564	−	0.993416i	$-0.463453\pi$
$839$	−21.4775	−	13.8028i	−0.741487	−	0.476525i	−0.856051	+	0.516891i	$0.827089\pi$
$840$	−0.216231	+	0.0697027i	−0.00746069	+	0.00240497i
$841$	2.06338	−	2.38127i	0.0711510	−	0.0821126i
$842$	35.8154	−	0.313223i	1.23428	−	0.0107944i
$843$	−89.9356	+	12.9308i	−3.09755	+	0.445360i
$844$	−8.96841	−	2.46383i	−0.308706	−	0.0848086i
$845$	−15.5486	−	34.0467i	−0.534888	−	1.17124i
$846$	13.6010	+	20.7621i	0.467612	+	0.713816i
$847$	−0.0134611	+	0.0294756i	−0.000462528	+	0.00101279i
$848$	34.3023	+	20.3858i	1.17794	+	0.700052i
$849$	−43.4721	−	67.6439i	−1.49196	−	2.32153i
$850$	−6.03280	−	19.9003i	−0.206923	−	0.682576i
$851$	2.89213	−	3.98039i	0.0991410	−	0.136446i
$852$	17.0603	+	25.5524i	0.584476	+	0.875411i
$853$	−9.02787	−	14.0476i	−0.309108	−	0.480982i	0.651592	−	0.758570i	$-0.274101\pi$
$853$	−9.02787	−	14.0476i	−0.309108	−	0.480982i	−0.960700	+	0.277588i	$0.910465\pi$
$854$	0.00558793	+	0.0365904i	0.000191215	+	0.00125210i
$855$	−80.0963	−	36.5788i	−2.73924	−	1.25097i
$856$	46.4243	+	19.7464i	1.58675	+	0.674917i
$857$	−21.0879	−	46.1760i	−0.720349	−	1.57734i	−0.813415	−	0.581684i	$-0.802394\pi$
$857$	−21.0879	−	46.1760i	−0.720349	−	1.57734i	0.0930665	−	0.995660i	$-0.470333\pi$
$858$	40.6202	+	25.6058i	1.38675	+	0.874169i
$859$	−5.02485	−	34.9486i	−0.171446	−	1.19243i	−0.875833	−	0.482615i	$-0.839687\pi$
$859$	−5.02485	−	34.9486i	−0.171446	−	1.19243i	0.704387	−	0.709816i	$-0.251222\pi$
$860$	12.9412	+	41.3821i	0.441292	+	1.41112i
$861$	−0.136962	+	0.158062i	−0.00466765	+	0.00538675i
$862$	−7.62558	−	2.16682i	−0.259728	−	0.0738021i
$863$	−2.80419	+	4.36340i	−0.0954557	+	0.148532i	−0.885697	−	0.464264i	$-0.846319\pi$
$863$	−2.80419	+	4.36340i	−0.0954557	+	0.148532i	0.790241	+	0.612796i	$0.209955\pi$
$864$	22.1350	+	23.3953i	0.753047	+	0.795924i
$865$	26.8382	−	91.4026i	0.912527	−	3.10778i
$866$	13.5725	−	6.34239i	0.461213	−	0.215523i
$867$	28.1886	+	32.5314i	0.957336	+	1.10482i
$868$	0.00744410	−	0.0120412i	0.000252669	−	0.000408705i
$869$	−9.22394	−	31.4139i	−0.312901	−	1.06564i
$870$	−89.9277	−	12.1279i	−3.04884	−	0.411176i
$871$	4.87257	−	33.8895i	0.165101	−	1.14830i
$872$	1.93010	−	16.4833i	0.0653615	−	0.558193i
$873$			7.90370i			0.267500i
$874$	−2.80933	−	29.6744i	−0.0950271	−	1.00375i
$875$	−0.169808			−0.00574055
$876$	−10.3593	+	23.7756i	−0.350008	+	0.803303i
$877$	−13.4306	−	1.93102i	−0.453517	−	0.0652060i	−0.0882287	−	0.996100i	$-0.528121\pi$
$877$	−13.4306	−	1.93102i	−0.453517	−	0.0652060i	−0.365289	+	0.930894i	$0.619030\pi$
$878$	−47.8395	−	6.45179i	−1.61451	−	0.217737i
$879$	−49.0944	+	14.4154i	−1.65591	+	0.486220i
$880$	1.41878	+	40.5418i	0.0478269	+	1.36667i
$881$	−26.1829	+	22.6876i	−0.882125	+	0.764366i	−0.972832	−	0.231512i	$-0.925633\pi$
$881$	−26.1829	+	22.6876i	−0.882125	+	0.764366i	0.0907068	+	0.995878i	$0.471087\pi$
$882$	−21.0030	−	44.9457i	−0.707208	−	1.51340i
$883$	−11.4412	−	3.35944i	−0.385027	−	0.113054i	0.0834900	−	0.996509i	$-0.473393\pi$
$883$	−11.4412	−	3.35944i	−0.385027	−	0.113054i	−0.468517	+	0.883455i	$0.655212\pi$
$884$	1.58241	−	12.5618i	0.0532220	−	0.422501i
$885$	26.2437	+	16.8658i	0.882172	+	0.566938i
$886$	−13.5058	−	3.83768i	−0.453735	−	0.128929i
$887$	−23.1755	−	20.0817i	−0.778157	−	0.674277i	0.172330	−	0.985039i	$-0.444870\pi$
$887$	−23.1755	−	20.0817i	−0.778157	−	0.674277i	−0.950488	+	0.310762i	$0.899416\pi$
$888$	6.79059	−	4.62016i	0.227877	−	0.155042i
$889$	0.0762382	−	0.0109614i	0.00255695	−	0.000367633i
$890$	−31.6141	+	50.1515i	−1.05971	+	1.68108i
$891$	−2.49350	+	1.13874i	−0.0835354	+	0.0381493i
$892$	−38.1330	−	31.8920i	−1.27679	−	1.06782i
$893$	6.39364	−	14.0001i	0.213955	−	0.468496i
$894$	2.86069	+	18.7321i	0.0956759	+	0.626497i
$895$	−15.8866	+	10.2097i	−0.531032	+	0.341274i
$896$	−0.0377670	−	0.0708714i	−0.00126171	−	0.00236765i
$897$	23.2871	+	59.8184i	0.777532	+	1.99728i
$898$	15.2658	−	4.62784i	0.509427	−	0.154433i
$899$	4.75667	−	3.05693i	0.158644	−	0.101954i
$900$	47.4775	+	99.3263i	1.58258	+	3.31088i
$901$	12.1477	+	5.54768i	0.404699	+	0.184820i
$902$	20.4643	+	31.2390i	0.681386	+	1.04014i
$903$	0.0990996	−	0.0452572i	0.00329783	−	0.00150607i
$904$	−0.566933	−	21.6042i	−0.0188559	−	0.718544i
$905$	4.97432	+	34.5971i	0.165352	+	1.15005i
$906$	−0.0445847	−	5.09802i	−0.00148123	−	0.169370i
$907$	−31.6022	−	27.3835i	−1.04933	−	0.909254i	−0.0533323	−	0.998577i	$-0.516984\pi$
$907$	−31.6022	−	27.3835i	−1.04933	−	0.909254i	−0.996003	+	0.0893229i	$0.971530\pi$
$908$	0.173333	+	9.90910i	0.00575226	+	0.328845i
$909$	34.6545	−	53.9235i	1.14942	−	1.78853i
$910$	−0.173314	−	0.0773255i	−0.00574532	−	0.00256332i
$911$	−13.2340	−	3.88586i	−0.438462	−	0.128744i	0.0550488	−	0.998484i	$-0.482469\pi$
$911$	−13.2340	−	3.88586i	−0.438462	−	0.128744i	−0.493511	+	0.869740i	$0.664287\pi$
$912$	12.3400	−	48.2028i	0.408617	−	1.59616i
$913$	−7.52925	−	8.68922i	−0.249182	−	0.287571i
$914$	−11.9789	+	10.5646i	−0.396228	+	0.349447i
$915$	40.0361	−	11.7556i	1.32355	−	0.388630i
$916$	2.65243	+	16.4057i	0.0876388	+	0.542061i
$917$	0.00531840	−	0.0369903i	0.000175629	−	0.00122153i
$918$	8.20764	+	6.98723i	0.270892	+	0.230613i
$919$	45.9575			1.51600			0.758000	−	0.652255i	$-0.226177\pi$
$919$	45.9575			1.51600			0.758000	+	0.652255i	$0.226177\pi$
$920$	−30.7159	+	44.6939i	−1.01267	+	1.47351i
$921$	−13.2101			−0.435289
$922$	16.3342	+	13.9055i	0.537939	+	0.457952i
$923$	−3.65258	+	25.4043i	−0.120226	+	0.836192i
$924$	0.100623	−	0.0162685i	0.00331026	−	0.000535194i
$925$	10.8120	−	3.17470i	0.355497	−	0.104383i
$926$	40.0940	−	35.3602i	1.31757	−	1.16201i
$927$	−39.4536	−	45.5319i	−1.29583	−	1.49546i
$928$	−1.40209	−	32.0447i	−0.0460258	−	1.05192i
$929$	45.9421	+	13.4898i	1.50731	+	0.442586i	0.928019	−	0.372534i	$-0.121511\pi$
$929$	45.9421	+	13.4898i	1.50731	+	0.442586i	0.579292	+	0.815120i	$0.303329\pi$
$930$	−14.5737	−	6.50218i	−0.477892	−	0.213215i
$931$	−16.6320	+	25.8798i	−0.545091	+	0.848178i
$932$	9.59507	−	0.167840i	0.314297	−	0.00549778i
$933$	−27.2140	−	23.5810i	−0.890945	−	0.772008i
$934$	0.305346	+	34.9148i	0.00999124	+	1.14245i
$935$	1.93217	+	13.4386i	0.0631888	+	0.439488i
$936$	1.75838	+	67.0068i	0.0574744	+	2.19018i
$937$	−14.6286	+	6.68064i	−0.477894	+	0.218247i	−0.639773	−	0.768564i	$-0.720972\pi$
$937$	−14.6286	+	6.68064i	−0.477894	+	0.218247i	0.161879	+	0.986811i	$0.448245\pi$
$938$	−0.0398267	−	0.0607960i	−0.00130039	−	0.00198506i
$939$	1.61287	+	0.736574i	0.0526341	+	0.0240372i
$940$	−25.2646	+	12.0763i	−0.824039	+	0.393887i
$941$	32.1927	−	20.6890i	1.04945	−	0.674441i	0.102144	−	0.994770i	$-0.467430\pi$
$941$	32.1927	−	20.6890i	1.04945	−	0.674441i	0.947307	+	0.320329i	$0.103793\pi$
$942$	−23.2525	+	7.04902i	−0.757609	+	0.229669i
$943$	−2.85183	+	49.8429i	−0.0928685	+	1.62311i
$944$	−4.22722	+	10.1847i	−0.137584	+	0.331483i
$945$	0.135921	−	0.0873513i	0.00442152	−	0.00284154i
$946$	−2.93675	−	19.2302i	−0.0954820	−	0.625227i
$947$	−13.3358	+	29.2013i	−0.433355	+	0.948916i	0.559415	+	0.828888i	$0.311026\pi$
$947$	−13.3358	+	29.2013i	−0.433355	+	0.948916i	−0.992770	+	0.120028i	$0.961702\pi$
$948$	46.8729	−	56.0456i	1.52236	−	1.82028i
$949$	−19.7066	+	8.99969i	−0.639702	+	0.292142i
$950$	36.4038	−	57.7497i	1.18110	−	1.87365i
$951$	−58.9298	+	8.47282i	−1.91093	+	0.274750i
$952$	−0.0151188	−	0.0222212i	−0.000490002	−	0.000720192i
$953$	−12.0569	−	10.4474i	−0.390563	−	0.338425i	0.437340	−	0.899296i	$-0.355921\pi$
$953$	−12.0569	−	10.4474i	−0.390563	−	0.338425i	−0.827903	+	0.560872i	$0.810466\pi$
$954$	−68.0086	−	19.3247i	−2.20186	−	0.625662i
$955$	62.9203	+	40.4364i	2.03605	+	1.30849i
$956$	0.858687	+	0.108168i	0.0277719	+	0.00349841i
$957$	39.0629	+	11.4699i	1.26273	+	0.370770i
$958$	−1.67335	−	3.58092i	−0.0540636	−	0.115694i
$959$	0.0493587	−	0.0427696i	0.00159388	−	0.00138110i
$960$	−73.4858	+	52.8704i	−2.37174	+	1.70639i
$961$	−28.7902	+	8.45356i	−0.928715	+	0.272695i
$962$	6.79941	+	0.916991i	0.219222	+	0.0295650i
$963$	−88.4779	−	12.7212i	−2.85116	−	0.409935i
$964$	9.60371	+	4.18445i	0.309315	+	0.134772i
$965$	0.662772			0.0213354
$966$	0.121066	+	0.0625376i	0.00389522	+	0.00201212i
$967$		−	23.6000i		−	0.758925i	−0.925207	−	0.379462i	$-0.876109\pi$
$967$		−	23.6000i		−	0.758925i	0.925207	−	0.379462i	$-0.123891\pi$
$968$	−1.50168	+	12.8245i	−0.0482659	+	0.412195i
$969$	2.36992	−	16.4831i	0.0761328	−	0.529515i
$970$	−8.83697	−	1.19178i	−0.283738	−	0.0382658i
$971$	−11.4024	−	38.8329i	−0.365920	−	1.24621i	−0.912596	−	0.408864i	$-0.865925\pi$
$971$	−11.4024	−	38.8329i	−0.365920	−	1.24621i	0.546676	−	0.837344i	$-0.315893\pi$
$972$	23.8532	+	14.7465i	0.765093	+	0.472995i
$973$	−0.0637580	−	0.0735806i	−0.00204399	−	0.00235889i
$974$	30.9419	−	14.4591i	0.991443	−	0.463298i
$975$	−41.4191	+	141.060i	−1.32647	+	4.51755i
$976$	6.59259	+	13.1940i	0.211024	+	0.422330i
$977$	22.3181	−	34.7277i	0.714021	−	1.11104i	−0.274738	−	0.961519i	$-0.588591\pi$
$977$	22.3181	−	34.7277i	0.714021	−	1.11104i	0.988759	−	0.149519i	$-0.0477724\pi$
$978$	−15.8574	−	4.50590i	−0.507064	−	0.144083i
$979$	17.4182	−	20.1017i	0.556689	−	0.642454i
$980$	53.4199	−	16.7057i	1.70644	−	0.533645i
$981$	4.18478	+	29.1058i	0.133610	+	0.929277i
$982$	6.75588	+	4.25872i	0.215589	+	0.135901i
$983$	17.6426	+	38.6319i	0.562712	+	1.23217i	0.950588	+	0.310455i	$0.100481\pi$
$983$	17.6426	+	38.6319i	0.562712	+	1.23217i	−0.387876	+	0.921711i	$0.626791\pi$
$984$	−32.6199	+	76.6904i	−1.03988	+	2.44480i
$985$	−22.3547	−	10.2090i	−0.712279	−	0.325287i
$986$	−1.62060	−	10.6119i	−0.0516104	−	0.337951i
$987$	0.0380397	+	0.0591909i	0.00121082	+	0.00188407i
$988$	34.5681	−	23.0797i	1.09976	−	0.734264i
$989$	12.1368	−	22.9999i	0.385928	−	0.731353i
$990$	−20.8525	−	68.7861i	−0.662737	−	2.18616i
$991$	11.9821	+	18.6446i	0.380625	+	0.592265i	0.977722	−	0.209905i	$-0.0673154\pi$
$991$	11.9821	+	18.6446i	0.380625	+	0.592265i	−0.597096	+	0.802170i	$0.703679\pi$
$992$	1.35114	−	5.47678i	0.0428986	−	0.173888i
$993$	33.7154	−	73.8265i	1.06993	−	2.34281i
$994$	0.0298549	+	0.0455739i	0.000946941	+	0.00144552i
$995$	−10.7046	−	23.4398i	−0.339359	−	0.743093i
$996$	6.79697	−	24.7412i	0.215370	−	0.783954i
$997$	35.9531	−	5.16928i	1.13865	−	0.163713i	0.452906	−	0.891558i	$-0.350387\pi$
$997$	35.9531	−	5.16928i	1.13865	−	0.163713i	0.685741	+	0.727845i	$0.259478\pi$
$998$	60.0927	−	0.525540i	1.90220	−	0.0166357i
$999$	−3.82508	+	4.41438i	−0.121020	+	0.139665i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.j.a.11.7	yes	220
4.3	odd	2		736.2.r.a.655.1		220
8.3	odd	2	inner	184.2.j.a.11.2	✓	220
8.5	even	2		736.2.r.a.655.2		220
23.21	odd	22	inner	184.2.j.a.67.2	yes	220
92.67	even	22		736.2.r.a.527.2		220
184.21	odd	22		736.2.r.a.527.1		220
184.67	even	22	inner	184.2.j.a.67.7	yes	220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.j.a.11.2	✓	220	8.3	odd	2	inner
184.2.j.a.11.7	yes	220	1.1	even	1	trivial
184.2.j.a.67.2	yes	220	23.21	odd	22	inner
184.2.j.a.67.7	yes	220	184.67	even	22	inner
736.2.r.a.527.1		220	184.21	odd	22
736.2.r.a.527.2		220	92.67	even	22
736.2.r.a.655.1		220	4.3	odd	2
736.2.r.a.655.2		220	8.5	even	2

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:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.916731 + 1.07685i) q^{2} +(0.402816 - 2.80165i) q^{3} +(-0.319209 - 1.97436i) q^{4} +(-3.83602 + 1.12636i) q^{5} +(2.64768 + 3.00213i) q^{6} +(0.00464829 + 0.00536442i) q^{7} +(2.41872 + 1.46622i) q^{8} +(-4.80850 - 1.41190i) q^{9} +O(q^{10})\)	\(q+(-0.916731 + 1.07685i) q^{2} +(0.402816 - 2.80165i) q^{3} +(-0.319209 - 1.97436i) q^{4} +(-3.83602 + 1.12636i) q^{5} +(2.64768 + 3.00213i) q^{6} +(0.00464829 + 0.00536442i) q^{7} +(2.41872 + 1.46622i) q^{8} +(-4.80850 - 1.41190i) q^{9} +(2.30368 - 5.16339i) q^{10} +(-1.37145 + 2.13401i) q^{11} +(-5.66005 + 0.0990074i) q^{12} +(-3.57383 - 3.09674i) q^{13} +(-0.0100379 + 8.77863e-5i) q^{14} +(1.61045 + 11.2009i) q^{15} +(-3.79621 + 1.26047i) q^{16} +(-1.21773 + 0.556120i) q^{17} +(5.92850 - 3.88369i) q^{18} +(-3.99766 - 1.82567i) q^{19} +(3.44833 + 7.21415i) q^{20} +(0.0169016 - 0.0108620i) q^{21} +(-1.04076 - 3.43316i) q^{22} +(1.61179 - 4.51687i) q^{23} +(5.08213 - 6.18579i) q^{24} +(9.24012 - 5.93826i) q^{25} +(6.61096 - 1.00960i) q^{26} +(-2.36515 + 5.17896i) q^{27} +(0.00910752 - 0.0108898i) q^{28} +(5.15777 - 2.35548i) q^{29} +(-13.5380 - 8.53400i) q^{30} +(0.987044 - 0.141916i) q^{31} +(2.12277 - 5.24346i) q^{32} +(5.42631 + 4.70193i) q^{33} +(0.517476 - 1.82113i) q^{34} +(-0.0238732 - 0.0153424i) q^{35} +(-1.25269 + 9.94441i) q^{36} +(0.984366 + 0.289036i) q^{37} +(5.63075 - 2.63123i) q^{38} +(-10.1156 + 8.76519i) q^{39} +(-10.9297 - 2.90010i) q^{40} +(-9.98829 + 2.93283i) q^{41} +(-0.00379748 + 0.0281580i) q^{42} +(5.36737 + 0.771711i) q^{43} +(4.65109 + 2.02653i) q^{44} +20.0358 q^{45} +(3.38641 + 5.87641i) q^{46} +3.50208i q^{47} +(2.00222 + 11.1434i) q^{48} +(0.996197 - 6.92870i) q^{49} +(-2.07609 + 15.3940i) q^{50} +(1.06753 + 3.63568i) q^{51} +(-4.97328 + 8.04454i) q^{52} +(-6.53268 - 7.53912i) q^{53} +(-3.40875 - 7.29462i) q^{54} +(2.85724 - 9.73086i) q^{55} +(0.00337751 + 0.0197904i) q^{56} +(-6.72521 + 10.4646i) q^{57} +(-2.19180 + 7.71348i) q^{58} +(1.80531 - 2.08343i) q^{59} +(21.6006 - 6.75504i) q^{60} +(-0.524763 - 3.64981i) q^{61} +(-0.752032 + 1.19300i) q^{62} +(-0.0147773 - 0.0323577i) q^{63} +(3.70041 + 7.09274i) q^{64} +(17.1973 + 7.85375i) q^{65} +(-10.0377 + 1.53292i) q^{66} +(3.91437 + 6.09087i) q^{67} +(1.48669 + 2.22673i) q^{68} +(-12.0054 - 6.33514i) q^{69} +(0.0384067 - 0.0116430i) q^{70} +(-2.93429 - 4.56585i) q^{71} +(-9.56025 - 10.4653i) q^{72} +(1.90314 - 4.16731i) q^{73} +(-1.21365 + 0.795046i) q^{74} +(-12.9149 - 28.2796i) q^{75} +(-2.32844 + 8.47559i) q^{76} +(-0.0178226 + 0.00256251i) q^{77} +(-0.165537 - 18.9283i) q^{78} +(-8.45198 + 9.75411i) q^{79} +(13.1426 - 9.11108i) q^{80} +(0.909077 + 0.584228i) q^{81} +(5.99836 - 13.4445i) q^{82} +(-1.27694 + 4.34885i) q^{83} +(-0.0268407 - 0.0299027i) q^{84} +(4.04486 - 3.50489i) q^{85} +(-5.75145 + 5.07240i) q^{86} +(-4.52158 - 15.3991i) q^{87} +(-6.44607 + 3.15074i) q^{88} +(-10.3787 - 1.49223i) q^{89} +(-18.3674 + 21.5756i) q^{90} -0.0335660i q^{91} +(-9.43244 - 1.74043i) q^{92} -2.82252i q^{93} +(-3.77122 - 3.21047i) q^{94} +(17.3915 + 2.50051i) q^{95} +(-13.8352 - 8.05940i) q^{96} +(-0.444324 - 1.51323i) q^{97} +(6.54792 + 7.42451i) q^{98} +(9.60761 - 8.32504i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9}+O(q^{10}) \) 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9	\( 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26} - 18 q^{27} - 11 q^{28} - 11 q^{30} - 11 q^{32} - 22 q^{33} + 11 q^{34} + 2 q^{35} - 41 q^{36} + 44 q^{38} - 99 q^{40} - 18 q^{41} + 99 q^{42} - 22 q^{43} - 88 q^{44} + 45 q^{46} - 100 q^{48} - 28 q^{49} + 14 q^{50} - 22 q^{51} - 118 q^{52} + 102 q^{54} - 66 q^{56} - 22 q^{57} + 43 q^{58} - 6 q^{59} - 33 q^{60} - 56 q^{62} + 18 q^{64} - 22 q^{65} + 22 q^{66} - 22 q^{67} - 10 q^{70} - 23 q^{72} - 18 q^{73} + 14 q^{75} + 44 q^{76} + 98 q^{78} + 88 q^{80} + 4 q^{81} + 14 q^{82} - 22 q^{83} + 143 q^{84} + 99 q^{86} + 77 q^{88} - 22 q^{89} + 176 q^{90} + 36 q^{92} + 111 q^{94} + 101 q^{96} - 22 q^{97} + 121 q^{98} - 22 q^{99}+O(q^{100}) \) 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

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