LMFDB - Embedded newform 92.2.h.a.7.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [92,2,Mod(7,92)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(92, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 19]))

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

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

chi := DirichletCharacter("92.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 92 = 2^{2} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	92.h (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:	$0.734623698596$
Analytic rank:	$0$
Dimension:	$100$
Relative dimension:	$10$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			7.9
Character	$\chi$	$=$	92.7
Dual form			92.2.h.a.79.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.21086 - 0.730627i) q^{2} +(0.874133 + 1.36018i) q^{3} +(0.932368 - 1.76938i) q^{4} +(-1.57961 + 0.721385i) q^{5} +(2.05224 + 1.00832i) q^{6} +(-3.24497 + 0.952810i) q^{7} +(-0.163786 - 2.82368i) q^{8} +(0.160270 - 0.350942i) q^{9} +O(q^{10})$	\(q+(1.21086 - 0.730627i) q^{2} +(0.874133 + 1.36018i) q^{3} +(0.932368 - 1.76938i) q^{4} +(-1.57961 + 0.721385i) q^{5} +(2.05224 + 1.00832i) q^{6} +(-3.24497 + 0.952810i) q^{7} +(-0.163786 - 2.82368i) q^{8} +(0.160270 - 0.350942i) q^{9} +(-1.38563 + 2.02761i) q^{10} +(-1.43541 - 1.65655i) q^{11} +(3.22168 - 0.278484i) q^{12} +(1.21107 + 0.355602i) q^{13} +(-3.23306 + 3.52459i) q^{14} +(-2.36201 - 1.51797i) q^{15} +(-2.26138 - 3.29942i) q^{16} +(2.97507 + 0.427751i) q^{17} +(-0.0623433 - 0.542040i) q^{18} +(0.654597 + 4.55282i) q^{19} +(-0.196379 + 3.46753i) q^{20} +(-4.13253 - 3.58086i) q^{21} +(-2.94840 - 0.957104i) q^{22} +(0.509984 - 4.76864i) q^{23} +(3.69754 - 2.69105i) q^{24} +(-1.29952 + 1.49973i) q^{25} +(1.72625 - 0.454255i) q^{26} +(5.41861 - 0.779078i) q^{27} +(-1.33963 + 6.62995i) q^{28} +(-1.27939 + 8.89835i) q^{29} +(-3.96913 - 0.112304i) q^{30} +(-2.99883 + 4.66627i) q^{31} +(-5.14886 - 2.34291i) q^{32} +(0.998465 - 3.40046i) q^{33} +(3.91493 - 1.65572i) q^{34} +(4.43846 - 3.84595i) q^{35} +(-0.471518 - 0.610785i) q^{36} +(4.78357 + 2.18458i) q^{37} +(4.11904 + 5.03456i) q^{38} +(0.574953 + 1.95811i) q^{39} +(2.29568 + 4.34217i) q^{40} +(-4.26594 - 9.34112i) q^{41} +(-7.62019 - 1.31658i) q^{42} +(8.83306 - 5.67666i) q^{43} +(-4.26939 + 0.995264i) q^{44} +0.669969i q^{45} +(-2.86658 - 6.14677i) q^{46} -5.88293i q^{47} +(2.51105 - 5.96001i) q^{48} +(3.73323 - 2.39920i) q^{49} +(-0.477798 + 2.76543i) q^{50} +(2.01879 + 4.42054i) q^{51} +(1.75835 - 1.81128i) q^{52} +(-2.58541 - 8.80511i) q^{53} +(5.99197 - 4.90234i) q^{54} +(3.46240 + 1.58123i) q^{55} +(3.22191 + 9.00671i) q^{56} +(-5.62044 + 4.87014i) q^{57} +(4.95221 + 11.7094i) q^{58} +(-0.319239 + 1.08723i) q^{59} +(-4.88811 + 2.76397i) q^{60} +(2.19965 - 3.42273i) q^{61} +(-0.221862 + 7.84123i) q^{62} +(-0.185690 + 1.29151i) q^{63} +(-7.94635 + 0.924960i) q^{64} +(-2.16955 + 0.311934i) q^{65} +(-1.27547 - 4.84699i) q^{66} +(-6.29927 + 7.26974i) q^{67} +(3.53072 - 4.86520i) q^{68} +(6.93199 - 3.47476i) q^{69} +(2.56440 - 7.89977i) q^{70} +(0.858217 + 0.743649i) q^{71} +(-1.01720 - 0.395072i) q^{72} +(1.50858 + 10.4924i) q^{73} +(7.38836 - 0.849781i) q^{74} +(-3.17585 - 0.456618i) q^{75} +(8.66597 + 3.08668i) q^{76} +(6.23625 + 4.00779i) q^{77} +(2.12684 + 1.95092i) q^{78} +(-11.7281 - 3.44369i) q^{79} +(5.95226 + 3.58048i) q^{80} +(5.03832 + 5.81454i) q^{81} +(-11.9903 - 8.19398i) q^{82} +(3.09002 - 6.76620i) q^{83} +(-10.1889 + 3.97332i) q^{84} +(-5.00804 + 1.47049i) q^{85} +(6.54808 - 13.3273i) q^{86} +(-13.2217 + 6.03815i) q^{87} +(-4.44247 + 4.32446i) q^{88} +(-1.37105 - 2.13340i) q^{89} +(0.489498 + 0.811240i) q^{90} -4.26871 q^{91} +(-7.96202 - 5.34848i) q^{92} -8.96833 q^{93} +(-4.29823 - 7.12341i) q^{94} +(-4.31835 - 6.71948i) q^{95} +(-1.31402 - 9.05138i) q^{96} +(-14.1758 + 6.47388i) q^{97} +(2.76750 - 5.63270i) q^{98} +(-0.811407 + 0.238251i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9}+O(q^{10}) $ 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9	$ 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25} + 12 q^{26} - 11 q^{28} - 42 q^{29} - 11 q^{30} - 27 q^{32} - 22 q^{33} + 11 q^{34} + 77 q^{36} - 22 q^{37} + 44 q^{38} + 77 q^{40} - 10 q^{41} + 99 q^{42} + 66 q^{44} + 65 q^{46} + 38 q^{48} - 8 q^{49} + 30 q^{50} + 96 q^{52} - 22 q^{53} + 48 q^{54} + 44 q^{56} - 22 q^{57} + 79 q^{58} + 11 q^{60} - 22 q^{61} - 36 q^{62} + 10 q^{64} - 22 q^{65} - 44 q^{66} - 10 q^{69} + 34 q^{70} - 21 q^{72} - 18 q^{73} - 22 q^{74} - 66 q^{76} + 122 q^{77} - 66 q^{78} - 110 q^{80} + 8 q^{81} - 122 q^{82} - 165 q^{84} + 54 q^{85} - 121 q^{86} - 99 q^{88} + 22 q^{89} - 198 q^{90} - 86 q^{92} + 212 q^{93} - 61 q^{94} - 147 q^{96} + 22 q^{97} - 71 q^{98}+O(q^{100}) $ 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/92\mathbb{Z}\right)^\times$.

$n$	$5$	$47$
$\chi(n)$	$e\left(\frac{19}{22}\right)$	$-1$

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 $

$2$	1.21086	−	0.730627i	0.856208	−	0.516631i
$2$	1.21086	−	0.730627i	0.856208	−	0.516631i
$3$	0.874133	+	1.36018i	0.504681	+	0.785299i	0.996339	−	0.0854893i	$-0.0272453\pi$
$3$	0.874133	+	1.36018i	0.504681	+	0.785299i	−0.491658	+	0.870788i	$0.663609\pi$
$4$	0.932368	−	1.76938i	0.466184	−	0.884688i
$5$	−1.57961	+	0.721385i	−0.706425	+	0.322613i	−0.736031	−	0.676948i	$-0.763302\pi$
$5$	−1.57961	+	0.721385i	−0.706425	+	0.322613i	0.0296059	+	0.999562i	$0.490575\pi$
$6$	2.05224	+	1.00832i	0.837822	+	0.411645i
$7$	−3.24497	+	0.952810i	−1.22648	+	0.360128i	−0.829922	−	0.557879i	$-0.811615\pi$
$7$	−3.24497	+	0.952810i	−1.22648	+	0.360128i	−0.396563	+	0.918008i	$0.629797\pi$
$8$	−0.163786	−	2.82368i	−0.0579071	−	0.998322i
$9$	0.160270	−	0.350942i	0.0534233	−	0.116981i
$10$	−1.38563	+	2.02761i	−0.438174	+	0.641185i
$11$	−1.43541	−	1.65655i	−0.432792	−	0.499469i	0.496899	−	0.867808i	$-0.334472\pi$
$11$	−1.43541	−	1.65655i	−0.432792	−	0.499469i	−0.929691	+	0.368339i	$0.879926\pi$
$12$	3.22168	−	0.278484i	0.930019	−	0.0803914i
$13$	1.21107	+	0.355602i	0.335890	+	0.0986262i	0.445328	−	0.895367i	$-0.353087\pi$
$13$	1.21107	+	0.355602i	0.335890	+	0.0986262i	−0.109438	+	0.993994i	$0.534905\pi$
$14$	−3.23306	+	3.52459i	−0.864072	+	0.941985i
$15$	−2.36201	−	1.51797i	−0.609867	−	0.391938i
$16$	−2.26138	−	3.29942i	−0.565345	−	0.824855i
$17$	2.97507	+	0.427751i	0.721561	+	0.103745i	0.493305	−	0.869856i	$-0.335789\pi$
$17$	2.97507	+	0.427751i	0.721561	+	0.103745i	0.228256	+	0.973601i	$0.426698\pi$
$18$	−0.0623433	−	0.542040i	−0.0146945	−	0.127760i
$19$	0.654597	+	4.55282i	0.150175	+	1.04449i	0.915925	+	0.401350i	$0.131459\pi$
$19$	0.654597	+	4.55282i	0.150175	+	1.04449i	−0.765750	+	0.643138i	$0.777632\pi$
$20$	−0.196379	+	3.46753i	−0.0439118	+	0.775363i
$21$	−4.13253	−	3.58086i	−0.901792	−	0.781408i
$22$	−2.94840	−	0.957104i	−0.628602	−	0.204055i
$23$	0.509984	−	4.76864i	0.106339	−	0.994330i
$23$	0.509984	−	4.76864i	0.106339	−	0.994330i
$24$	3.69754	−	2.69105i	0.754757	−	0.549309i
$25$	−1.29952	+	1.49973i	−0.259904	+	0.299945i
$26$	1.72625	−	0.454255i	0.338545	−	0.0890868i
$27$	5.41861	−	0.779078i	1.04281	−	0.149934i
$28$	−1.33963	+	6.62995i	−0.253166	+	1.25294i
$29$	−1.27939	+	8.89835i	−0.237577	+	1.65238i	0.426331	+	0.904567i	$0.359806\pi$
$29$	−1.27939	+	8.89835i	−0.237577	+	1.65238i	−0.663908	+	0.747815i	$0.731103\pi$
$30$	−3.96913	−	0.112304i	−0.724661	−	0.0205037i
$31$	−2.99883	+	4.66627i	−0.538606	+	0.838087i	−0.998762	−	0.0497515i	$-0.984157\pi$
$31$	−2.99883	+	4.66627i	−0.538606	+	0.838087i	0.460156	+	0.887838i	$0.347793\pi$
$32$	−5.14886	−	2.34291i	−0.910199	−	0.414172i
$33$	0.998465	−	3.40046i	0.173810	−	0.591944i
$34$	3.91493	−	1.65572i	0.671405	−	0.283954i
$35$	4.43846	−	3.84595i	0.750237	−	0.650084i
$36$	−0.471518	−	0.610785i	−0.0785863	−	0.101797i
$37$	4.78357	+	2.18458i	0.786415	+	0.359144i	0.767805	−	0.640683i	$-0.221349\pi$
$37$	4.78357	+	2.18458i	0.786415	+	0.359144i	0.0186094	+	0.999827i	$0.494076\pi$
$38$	4.11904	+	5.03456i	0.668196	+	0.816714i
$39$	0.574953	+	1.95811i	0.0920662	+	0.313549i
$40$	2.29568	+	4.34217i	0.362979	+	0.686558i
$41$	−4.26594	−	9.34112i	−0.666229	−	1.45884i	−0.876602	−	0.481216i	$-0.840195\pi$
$41$	−4.26594	−	9.34112i	−0.666229	−	1.45884i	0.210373	−	0.977621i	$-0.432532\pi$
$42$	−7.62019	−	1.31658i	−1.17582	−	0.203153i
$43$	8.83306	−	5.67666i	1.34703	−	0.865683i	0.349569	−	0.936911i	$-0.386328\pi$
$43$	8.83306	−	5.67666i	1.34703	−	0.865683i	0.997460	+	0.0712278i	$0.0226917\pi$
$44$	−4.26939	+	0.995264i	−0.643635	+	0.150042i
$45$			0.669969i			0.0998731i
$46$	−2.86658	−	6.14677i	−0.422654	−	0.906291i
$47$		−	5.88293i		−	0.858114i	−0.903277	−	0.429057i	$-0.858846\pi$
$47$		−	5.88293i		−	0.858114i	0.903277	−	0.429057i	$-0.141154\pi$
$48$	2.51105	−	5.96001i	0.362439	−	0.860253i
$49$	3.73323	−	2.39920i	0.533319	−	0.342743i
$50$	−0.477798	+	2.76543i	−0.0675708	+	0.391090i
$51$	2.01879	+	4.42054i	0.282688	+	0.619000i
$52$	1.75835	−	1.81128i	0.243840	−	0.251180i
$53$	−2.58541	−	8.80511i	−0.355134	−	1.20948i	−0.922496	−	0.386007i	$-0.873854\pi$
$53$	−2.58541	−	8.80511i	−0.355134	−	1.20948i	0.567362	−	0.823469i	$-0.307964\pi$
$54$	5.99197	−	4.90234i	0.815403	−	0.667124i
$55$	3.46240	+	1.58123i	0.466871	+	0.213213i
$56$	3.22191	+	9.00671i	0.430546	+	1.20357i
$57$	−5.62044	+	4.87014i	−0.744446	+	0.645066i
$58$	4.95221	+	11.7094i	0.650257	+	1.53752i
$59$	−0.319239	+	1.08723i	−0.0415613	+	0.141545i	−0.977660	−	0.210193i	$-0.932591\pi$
$59$	−0.319239	+	1.08723i	−0.0415613	+	0.141545i	0.936099	+	0.351738i	$0.114409\pi$
$60$	−4.88811	+	2.76397i	−0.631053	+	0.356827i
$61$	2.19965	−	3.42273i	0.281637	−	0.438235i	−0.671398	−	0.741097i	$-0.734306\pi$
$61$	2.19965	−	3.42273i	0.281637	−	0.438235i	0.953034	+	0.302862i	$0.0979421\pi$
$62$	−0.221862	+	7.84123i	−0.0281765	+	0.995837i
$63$	−0.185690	+	1.29151i	−0.0233948	+	0.162714i
$64$	−7.94635	+	0.924960i	−0.993294	+	0.115620i
$65$	−2.16955	+	0.311934i	−0.269099	+	0.0386906i
$66$	−1.27547	−	4.84699i	−0.156999	−	0.596623i
$67$	−6.29927	+	7.26974i	−0.769578	+	0.888141i	−0.996311	−	0.0858165i	$-0.972650\pi$
$67$	−6.29927	+	7.26974i	−0.769578	+	0.888141i	0.226733	+	0.973957i	$0.427196\pi$
$68$	3.53072	−	4.86520i	0.428162	−	0.589992i
$69$	6.93199	−	3.47476i	0.834514	−	0.418312i
$70$	2.56440	−	7.89977i	0.306505	−	0.944203i
$71$	0.858217	+	0.743649i	0.101852	+	0.0882549i	0.704298	−	0.709904i	$-0.251262\pi$
$71$	0.858217	+	0.743649i	0.101852	+	0.0882549i	−0.602447	+	0.798159i	$0.705807\pi$
$72$	−1.01720	−	0.395072i	−0.119878	−	0.0465596i
$73$	1.50858	+	10.4924i	0.176566	+	1.22804i	0.864636	+	0.502398i	$0.167549\pi$
$73$	1.50858	+	10.4924i	0.176566	+	1.22804i	−0.688070	+	0.725644i	$0.741542\pi$
$74$	7.38836	−	0.849781i	0.858879	−	0.0987850i
$75$	−3.17585	−	0.456618i	−0.366716	−	0.0527258i
$76$	8.66597	+	3.08668i	0.994055	+	0.354066i
$77$	6.23625	+	4.00779i	0.710686	+	0.456730i
$78$	2.12684	+	1.95092i	0.240817	+	0.220899i
$79$	−11.7281	−	3.44369i	−1.31952	−	0.387446i	−0.455200	−	0.890389i	$-0.650432\pi$
$79$	−11.7281	−	3.44369i	−1.31952	−	0.387446i	−0.864319	+	0.502943i	$0.832250\pi$
$80$	5.95226	+	3.58048i	0.665483	+	0.400310i
$81$	5.03832	+	5.81454i	0.559814	+	0.646059i
$82$	−11.9903	−	8.19398i	−1.32411	−	0.904873i
$83$	3.09002	−	6.76620i	0.339174	−	0.742687i	−0.660795	−	0.750566i	$-0.729781\pi$
$83$	3.09002	−	6.76620i	0.339174	−	0.742687i	0.999969	+	0.00787950i	$0.00250815\pi$
$84$	−10.1889	+	3.97332i	−1.11170	+	0.433525i
$85$	−5.00804	+	1.47049i	−0.543198	+	0.159497i
$86$	6.54808	−	13.3273i	0.706098	−	1.43712i
$87$	−13.2217	+	6.03815i	−1.41751	+	0.647357i
$88$	−4.44247	+	4.32446i	−0.473569	+	0.460989i
$89$	−1.37105	−	2.13340i	−0.145331	−	0.226140i	0.760955	−	0.648805i	$-0.224731\pi$
$89$	−1.37105	−	2.13340i	−0.145331	−	0.226140i	−0.906286	+	0.422665i	$0.861095\pi$
$90$	0.489498	+	0.811240i	0.0515976	+	0.0855122i
$91$	−4.26871			−0.447482
$92$	−7.96202	−	5.34848i	−0.830098	−	0.557617i
$93$	−8.96833			−0.929973
$94$	−4.29823	−	7.12341i	−0.443329	−	0.734724i
$95$	−4.31835	−	6.71948i	−0.443053	−	0.689404i
$96$	−1.31402	−	9.05138i	−0.134111	−	0.923803i
$97$	−14.1758	+	6.47388i	−1.43934	+	0.657323i	−0.973738	−	0.227673i	$-0.926888\pi$
$97$	−14.1758	+	6.47388i	−1.43934	+	0.657323i	−0.465599	+	0.884996i	$0.654161\pi$
$98$	2.76750	−	5.63270i	0.279560	−	0.568989i
$99$	−0.811407	+	0.238251i	−0.0815494	+	0.0239451i
$100$	1.44195	+	3.69764i	0.144195	+	0.369764i
$101$	−2.84431	+	6.22817i	−0.283019	+	0.619726i	−0.996738	−	0.0807067i	$-0.974282\pi$
$101$	−2.84431	+	6.22817i	−0.283019	+	0.619726i	0.713719	+	0.700433i	$0.247010\pi$
$102$	5.67425	+	3.87768i	0.561834	+	0.383947i
$103$	1.58884	+	1.83362i	0.156553	+	0.180672i	0.828608	−	0.559830i	$-0.189134\pi$
$103$	1.58884	+	1.83362i	0.156553	+	0.180672i	−0.672055	+	0.740501i	$0.734588\pi$
$104$	0.805750	−	3.47791i	0.0790103	−	0.341037i
$105$	9.11098	+	2.67523i	0.889141	+	0.261075i
$106$	−9.56383	−	8.77279i	−0.928921	−	0.852089i
$107$	3.07898	+	1.97874i	0.297656	+	0.191292i	0.680941	−	0.732338i	$-0.261571\pi$
$107$	3.07898	+	1.97874i	0.297656	+	0.191292i	−0.383285	+	0.923630i	$0.625207\pi$
$108$	3.67366	−	10.3139i	0.353498	−	0.992460i
$109$	6.85254	+	0.985246i	0.656354	+	0.0943695i	0.462442	−	0.886649i	$-0.346973\pi$
$109$	6.85254	+	0.985246i	0.656354	+	0.0943695i	0.193912	+	0.981019i	$0.437882\pi$
$110$	5.34778	−	0.615081i	0.509891	−	0.0586457i
$111$	1.21006	+	8.41613i	0.114854	+	0.798824i
$112$	10.4818	+	8.55186i	0.990441	+	0.808075i
$113$	−2.18706	−	1.89510i	−0.205741	−	0.178276i	0.545895	−	0.837854i	$-0.316190\pi$
$113$	−2.18706	−	1.89510i	−0.205741	−	0.178276i	−0.751636	+	0.659578i	$0.770735\pi$
$114$	−3.24732	+	10.0035i	−0.304139	+	0.936914i
$115$	2.63445	+	7.90050i	0.245664	+	0.736726i
$116$	14.5517	+	10.5603i	1.35109	+	0.980495i
$117$	0.318893	−	0.368023i	0.0294817	−	0.0340237i
$118$	0.407804	+	1.54973i	0.0375414	+	0.142664i
$119$	−10.0616	+	1.44664i	−0.922346	+	0.132613i
$120$	−3.89940	+	6.91817i	−0.355964	+	0.631540i
$121$	0.881703	−	6.13238i	0.0801548	−	0.557489i
$122$	0.162737	−	5.75158i	0.0147335	−	0.520723i
$123$	8.97658	−	13.9678i	0.809391	−	1.25944i
$124$	5.46037	+	9.65673i	0.490356	+	0.867200i
$125$	3.41706	−	11.6374i	0.305631	−	1.04088i
$126$	0.718763	+	1.69950i	0.0640325	+	0.151404i
$127$	10.0849	−	8.73865i	0.894894	−	0.775430i	−0.0803028	−	0.996771i	$-0.525589\pi$
$127$	10.0849	−	8.73865i	0.894894	−	0.775430i	0.975197	+	0.221341i	$0.0710433\pi$
$128$	−8.94612	+	6.92582i	−0.790733	+	0.612161i
$129$	15.4425	+	7.05237i	1.35964	+	0.620927i
$130$	−2.39911	+	1.96284i	−0.210416	+	0.172152i
$131$	3.82468	+	13.0257i	0.334164	+	1.13806i	0.939632	+	0.342188i	$0.111168\pi$
$131$	3.82468	+	13.0257i	0.334164	+	1.13806i	−0.605468	+	0.795870i	$0.707014\pi$
$132$	−5.08575	−	4.93714i	−0.442658	−	0.429723i
$133$	−6.46212	−	14.1501i	−0.560337	−	1.22697i
$134$	−2.31607	+	13.4051i	−0.200078	+	1.15802i
$135$	−7.99729	+	5.13955i	−0.688297	+	0.442342i
$136$	0.720557	−	8.47072i	0.0617872	−	0.726358i
$137$		−	2.97526i		−	0.254194i	−0.991890	−	0.127097i	$-0.959434\pi$
$137$		−	2.97526i		−	0.254194i	0.991890	−	0.127097i	$-0.0405659\pi$
$138$	5.85492	−	9.27215i	0.498404	−	0.789298i
$139$			5.18936i			0.440156i	0.975482	+	0.220078i	$0.0706312\pi$
$139$			5.18936i			0.440156i	−0.975482	+	0.220078i	$0.929369\pi$
$140$	−2.66665	−	11.4391i	−0.225373	−	0.966784i
$141$	8.00184	−	5.14247i	0.673876	−	0.433074i
$142$	1.58251	+	0.273419i	0.132801	+	0.0229448i
$143$	−1.14931	−	2.51663i	−0.0961099	−	0.210451i
$144$	−1.52034	+	0.264816i	−0.126695	+	0.0220680i
$145$	−4.39820	−	14.9789i	−0.365250	−	1.24393i
$146$	9.49271	+	11.6026i	0.785622	+	0.960240i
$147$	6.52669	+	2.98064i	0.538312	+	0.245839i
$148$	8.32540	−	6.42710i	0.684344	−	0.528305i
$149$	−11.7196	+	10.1551i	−0.960109	+	0.831939i	−0.985833	−	0.167730i	$-0.946356\pi$
$149$	−11.7196	+	10.1551i	−0.960109	+	0.831939i	0.0257242	+	0.999669i	$0.491811\pi$
$150$	−4.17913	+	1.76746i	−0.341225	+	0.144313i
$151$	0.879759	−	2.99618i	0.0715938	−	0.243826i	−0.915919	−	0.401362i	$-0.868537\pi$
$151$	0.879759	−	2.99618i	0.0715938	−	0.243826i	0.987513	+	0.157536i	$0.0503551\pi$
$152$	12.7485	−	2.59406i	1.03404	−	0.210406i
$153$	0.626931	−	0.975523i	0.0506844	−	0.0788664i
$154$	10.4794	+	0.296508i	0.844456	+	0.0238933i
$155$	1.37081	−	9.53421i	0.110106	−	0.765806i
$156$	4.00070	+	0.808372i	0.320313	+	0.0647215i
$157$	9.42822	−	1.35557i	0.752454	−	0.108187i	0.244593	−	0.969626i	$-0.421346\pi$
$157$	9.42822	−	1.35557i	0.752454	−	0.108187i	0.507861	+	0.861439i	$0.330436\pi$
$158$	−16.7172	+	4.39907i	−1.32995	+	0.349971i
$159$	9.71652	−	11.2135i	0.770570	−	0.889286i
$160$	9.82335	−	0.0134201i	0.776604	−	0.00106095i
$161$	2.88872	+	15.9600i	0.227663	+	1.25783i
$162$	10.3490	+	3.35946i	0.813092	+	0.263944i
$163$	2.58318	+	2.23834i	0.202330	+	0.175320i	0.750132	−	0.661288i	$-0.229990\pi$
$163$	2.58318	+	2.23834i	0.202330	+	0.175320i	−0.547802	+	0.836608i	$0.684535\pi$
$164$	−20.5054	−	1.16130i	−1.60120	−	0.0906821i
$165$	0.875853	+	6.09169i	0.0681850	+	0.474237i
$166$	−1.20198	−	10.4506i	−0.0932921	−	0.811122i
$167$	15.6987	+	2.25713i	1.21480	+	0.174662i	0.719771	−	0.694212i	$-0.244247\pi$
$167$	15.6987	+	2.25713i	1.21480	+	0.174662i	0.495033	+	0.868874i	$0.335156\pi$
$168$	−9.43435	+	12.2554i	−0.727876	+	0.945528i
$169$	−9.59606	−	6.16701i	−0.738159	−	0.474386i
$170$	−4.98966	+	5.43957i	−0.382689	+	0.417196i
$171$	1.70269	+	0.499954i	0.130208	+	0.0382325i
$172$	−1.80849	−	20.9217i	−0.137896	−	1.59527i
$173$	−5.59117	−	6.45256i	−0.425089	−	0.490579i	0.502292	−	0.864698i	$-0.332490\pi$
$173$	−5.59117	−	6.45256i	−0.425089	−	0.490579i	−0.927380	+	0.374120i	$0.877945\pi$
$174$	−11.5980	+	16.9715i	−0.879242	+	1.28660i
$175$	2.78796	−	6.10477i	0.210750	−	0.461478i
$176$	−2.21965	+	8.48211i	−0.167312	+	0.639363i
$177$	−1.75788	+	0.516160i	−0.132130	+	0.0387970i
$178$	−3.21887	−	1.58152i	−0.241265	−	0.118540i
$179$	−6.61381	+	3.02042i	−0.494339	+	0.225757i	−0.646955	−	0.762529i	$-0.723958\pi$
$179$	−6.61381	+	3.02042i	−0.494339	+	0.225757i	0.152615	+	0.988286i	$0.451230\pi$
$180$	1.18543	+	0.624658i	0.0883566	+	0.0465593i
$181$	1.78614	+	2.77930i	0.132763	+	0.206583i	0.901270	−	0.433258i	$-0.142636\pi$
$181$	1.78614	+	2.77930i	0.132763	+	0.206583i	−0.768507	+	0.639842i	$0.779000\pi$
$182$	−5.16881	+	3.11883i	−0.383138	+	0.231183i
$183$	6.57831			0.486283
$184$	−13.5486	−	0.658994i	−0.998819	−	0.0485817i
$185$	−9.13213			−0.671407
$186$	−10.8594	+	6.55251i	−0.796250	+	0.480453i
$187$	−3.56186	−	5.54236i	−0.260469	−	0.405298i
$188$	−10.4091	−	5.48506i	−0.759163	−	0.400039i
$189$	−16.8409	+	7.69100i	−1.22500	+	0.559438i
$190$	−10.1384	−	4.98125i	−0.735513	−	0.361378i
$191$	−6.21920	+	1.82612i	−0.450006	+	0.132134i	−0.498879	−	0.866671i	$-0.666255\pi$
$191$	−6.21920	+	1.82612i	−0.450006	+	0.132134i	0.0488739	+	0.998805i	$0.484437\pi$
$192$	−8.20428	−	9.99991i	−0.592093	−	0.721681i
$193$	−4.89611	+	10.7210i	−0.352430	+	0.771713i	0.647524	+	0.762045i	$0.275805\pi$
$193$	−4.89611	+	10.7210i	−0.352430	+	0.771713i	−0.999953	+	0.00966778i	$0.996923\pi$
$194$	−12.4350	+	18.1962i	−0.892778	+	1.30641i
$195$	−2.32076	−	2.67830i	−0.166193	−	0.191797i
$196$	−0.764345	−	8.84243i	−0.0545961	−	0.631602i
$197$	18.5352	+	5.44243i	1.32058	+	0.387757i	0.864702	−	0.502286i	$-0.167508\pi$
$197$	18.5352	+	5.44243i	1.32058	+	0.387757i	0.455877	+	0.890043i	$0.349326\pi$
$198$	−0.808428	+	0.881324i	−0.0574525	+	0.0626330i
$199$	11.8743	+	7.63117i	0.841749	+	0.540959i	0.888991	−	0.457924i	$-0.151407\pi$
$199$	11.8743	+	7.63117i	0.841749	+	0.540959i	−0.0472423	+	0.998883i	$0.515043\pi$
$200$	4.44760	+	3.42380i	0.314492	+	0.242099i
$201$	−15.3945	−	2.21340i	−1.08585	−	0.156121i
$202$	1.10641	+	9.61957i	0.0778465	+	0.676831i
$203$	−4.32685	−	30.0939i	−0.303686	−	2.11218i
$204$	9.70386	+	0.549567i	0.679406	+	0.0384774i
$205$	13.4771	+	11.6780i	0.941281	+	0.815624i
$206$	3.26355	+	1.05941i	0.227382	+	0.0738123i
$207$	−1.59178	−	0.943244i	−0.110636	−	0.0655600i
$208$	−1.56541	−	4.79997i	−0.108541	−	0.332818i
$209$	6.60236	−	7.61953i	0.456695	−	0.527054i
$210$	12.9867	−	3.41741i	0.896169	−	0.235823i
$211$	14.7235	−	2.11692i	1.01361	−	0.145735i	0.384560	−	0.923100i	$-0.374353\pi$
$211$	14.7235	−	2.11692i	1.01361	−	0.145735i	0.629050	+	0.777365i	$0.283444\pi$
$212$	−17.9901	−	3.63504i	−1.23557	−	0.249655i
$213$	−0.261299	+	1.81738i	−0.0179039	+	0.124525i
$214$	5.17394	+	0.146393i	0.353683	+	0.0100072i
$215$	−9.85776	+	15.3390i	−0.672294	+	1.04611i
$216$	−3.08736	−	15.1728i	−0.210068	−	1.03238i
$217$	5.28505	−	17.9992i	0.358773	−	1.22187i
$218$	9.01732	−	3.81365i	0.610730	−	0.258293i
$219$	−12.9528	+	11.2237i	−0.875271	+	0.758427i
$220$	6.02602	−	4.65201i	0.406274	−	0.313638i
$221$	3.45091	+	1.57598i	0.232133	+	0.106012i
$222$	7.61426	+	9.30666i	0.511036	+	0.624622i
$223$	−6.77833	−	23.0849i	−0.453911	−	1.54588i	−0.795455	−	0.606012i	$-0.792768\pi$
$223$	−6.77833	−	23.0849i	−0.453911	−	1.54588i	0.341544	−	0.939866i	$-0.389050\pi$
$224$	18.9403	+	2.69679i	1.26550	+	0.180187i
$225$	0.318043	+	0.696418i	0.0212029	+	0.0464279i
$226$	−4.03284	−	0.696775i	−0.268260	−	0.0463488i
$227$	−20.9024	+	13.4332i	−1.38734	+	0.891591i	−0.999545	−	0.0301542i	$-0.990400\pi$
$227$	−20.9024	+	13.4332i	−1.38734	+	0.891591i	−0.387797	+	0.921745i	$0.626764\pi$
$228$	3.37679	+	14.4854i	0.223633	+	0.959321i
$229$		−	1.23354i		−	0.0815145i	−0.999169	−	0.0407573i	$-0.987023\pi$
$229$		−	1.23354i		−	0.0815145i	0.999169	−	0.0407573i	$-0.0129770\pi$
$230$	8.96227	+	7.64161i	0.590955	+	0.503873i
$231$			11.9858i			0.788604i
$232$	25.3356	+	2.15516i	1.66337	+	0.141493i
$233$	4.69897	−	3.01984i	0.307840	−	0.197837i	−0.377595	−	0.925971i	$-0.623249\pi$
$233$	4.69897	−	3.01984i	0.307840	−	0.197837i	0.685434	+	0.728134i	$0.259612\pi$
$234$	0.117248	−	0.678616i	0.00766476	−	0.0443625i
$235$	4.24386	+	9.29276i	0.276839	+	0.606193i
$236$	1.62607	+	1.57855i	0.105848	+	0.102755i
$237$	−5.56792	−	18.9626i	−0.361676	−	1.23175i
$238$	−11.1262	+	9.10296i	−0.721208	+	0.590057i
$239$	3.46029	+	1.58026i	0.223828	+	0.102219i	0.524173	−	0.851612i	$-0.324375\pi$
$239$	3.46029	+	1.58026i	0.223828	+	0.102219i	−0.300345	+	0.953831i	$0.597102\pi$
$240$	0.332979	+	11.2259i	0.0214937	+	0.724632i
$241$	4.76586	−	4.12964i	0.306996	−	0.266014i	−0.487713	−	0.873004i	$-0.662169\pi$
$241$	4.76586	−	4.12964i	0.306996	−	0.266014i	0.794709	+	0.606990i	$0.207623\pi$
$242$	−3.41286	−	8.06965i	−0.219387	−	0.518737i
$243$	1.12225	−	3.82205i	0.0719927	−	0.245185i
$244$	−4.00521	−	7.08326i	−0.256407	−	0.453459i
$245$	−4.16632	+	6.48292i	−0.266176	+	0.414178i
$246$	0.664112	−	23.4716i	0.0423422	−	1.49650i
$247$	−0.826229	+	5.74655i	−0.0525717	+	0.365644i
$248$	13.6672	+	7.70346i	0.867869	+	0.489171i
$249$	11.9043	−	1.71158i	0.754406	−	0.108467i
$250$	−4.36505	−	16.5879i	−0.276070	−	1.04911i
$251$	−8.56245	+	9.88159i	−0.540457	+	0.623721i	−0.958633	−	0.284645i	$-0.908124\pi$
$251$	−8.56245	+	9.88159i	−0.540457	+	0.623721i	0.418176	+	0.908366i	$0.362670\pi$
$252$	2.11203	+	1.53271i	0.133045	+	0.0965519i
$253$	−8.63153	+	6.00014i	−0.542660	+	0.377225i
$254$	5.82676	−	17.9496i	0.365604	−	1.12626i
$255$	−6.37783	−	5.52642i	−0.399395	−	0.346078i
$256$	−5.77232	+	14.9225i	−0.360770	+	0.932655i
$257$	0.897250	+	6.24051i	0.0559689	+	0.389272i	0.998481	+	0.0550998i	$0.0175477\pi$
$257$	0.897250	+	6.24051i	0.0559689	+	0.389272i	−0.942512	+	0.334172i	$0.891543\pi$
$258$	23.8514	−	2.74330i	1.48492	−	0.170790i
$259$	−17.6041	−	2.53108i	−1.09386	−	0.157274i
$260$	−1.47089	+	4.12958i	−0.0912206	+	0.256106i
$261$	2.91776	+	1.87513i	0.180605	+	0.116068i
$262$	14.1481	+	12.9778i	0.874070	+	0.801774i
$263$	17.6906	+	5.19443i	1.09085	+	0.320302i	0.777211	−	0.629241i	$-0.216634\pi$
$263$	17.6906	+	5.19443i	1.09085	+	0.320302i	0.313638	+	0.949543i	$0.398452\pi$
$264$	−9.76535	−	2.26240i	−0.601016	−	0.139241i
$265$	10.4358	+	12.0436i	0.641068	+	0.739832i
$266$	−18.1632	−	12.4124i	−1.11365	−	0.761051i
$267$	1.70332	−	3.72975i	0.104242	−	0.228257i
$268$	6.98967	+	17.9238i	0.426962	+	1.09487i
$269$	−6.69530	+	1.96592i	−0.408220	+	0.119864i	−0.479394	−	0.877600i	$-0.659143\pi$
$269$	−6.69530	+	1.96592i	−0.408220	+	0.119864i	0.0711744	+	0.997464i	$0.477325\pi$
$270$	−5.92852	+	12.0663i	−0.360798	+	0.734333i
$271$	22.0828	−	10.0849i	1.34144	−	0.612614i	0.390102	−	0.920772i	$-0.372440\pi$
$271$	22.0828	−	10.0849i	1.34144	−	0.612614i	0.951335	+	0.308158i	$0.0997126\pi$
$272$	−5.31644	−	10.7833i	−0.322357	−	0.653835i
$273$	−3.73142	−	5.80620i	−0.225836	−	0.351407i
$274$	−2.17380	−	3.60262i	−0.131324	−	0.217643i
$275$	4.34972			0.262298
$276$	0.315015	−	15.5050i	0.0189617	−	0.933294i
$277$	−18.8116			−1.13028			−0.565140	−	0.824995i	$-0.691178\pi$
$277$	−18.8116			−1.13028			−0.565140	+	0.824995i	$0.691178\pi$
$278$	3.79149	+	6.28359i	0.227398	+	0.376865i
$279$	1.15697	+	1.80028i	0.0692659	+	0.107780i
$280$	−11.5867	−	11.9029i	−0.692437	−	0.711334i
$281$	19.3770	−	8.84919i	1.15594	−	0.527898i	0.257187	−	0.966362i	$-0.417204\pi$
$281$	19.3770	−	8.84919i	1.15594	−	0.527898i	0.898749	+	0.438463i	$0.144477\pi$
$282$	5.93188	−	12.0732i	0.353239	−	0.718947i
$283$	−17.7969	+	5.22564i	−1.05791	+	0.310632i	−0.764011	−	0.645203i	$-0.776773\pi$
$283$	−17.7969	+	5.22564i	−1.05791	+	0.310632i	−0.293904	+	0.955835i	$0.594955\pi$
$284$	2.11597	−	0.825153i	0.125560	−	0.0489638i
$285$	5.36488	−	11.7474i	0.317788	−	0.695858i
$286$	−3.23037	−	2.20757i	−0.191016	−	0.130537i
$287$	22.7432	+	26.2470i	1.34249	+	1.54931i
$288$	−1.64743	+	1.43145i	−0.0970760	+	0.0843493i
$289$	−7.64329	−	2.24427i	−0.449605	−	0.132016i
$290$	−16.2696	−	14.9239i	−0.955383	−	0.876362i
$291$	−21.1972	−	13.6226i	−1.24260	−	0.798571i
$292$	19.9715	+	7.11353i	1.16875	+	0.416288i
$293$	9.09335	+	1.30743i	0.531239	+	0.0763806i	0.402714	−	0.915326i	$-0.368067\pi$
$293$	9.09335	+	1.30743i	0.531239	+	0.0763806i	0.128525	+	0.991706i	$0.458976\pi$
$294$	10.0806	−	1.15944i	0.587915	−	0.0676198i
$295$	−0.280036	−	1.94769i	−0.0163043	−	0.113399i
$296$	5.38509	−	13.8651i	0.313002	−	0.805892i
$297$	−9.06851	−	7.85791i	−0.526208	−	0.455962i
$298$	−6.77123	+	20.8591i	−0.392247	+	1.20834i
$299$	2.31336	−	5.59380i	0.133785	−	0.323498i
$300$	−3.76899	+	5.19354i	−0.217603	+	0.299849i
$301$	−23.2543	+	26.8369i	−1.34035	+	1.54685i
$302$	−1.12383	−	4.27074i	−0.0646690	−	0.245753i
$303$	−10.9577	+	1.57548i	−0.629505	+	0.0905091i
$304$	13.5414	−	12.4554i	0.776650	−	0.714369i
$305$	−1.00550	+	6.99339i	−0.0575746	+	0.400440i
$306$	0.0463821	−	1.63928i	0.00265149	−	0.0937112i
$307$	−0.642884	+	1.00035i	−0.0366913	+	0.0570928i	−0.859115	−	0.511783i	$-0.828985\pi$
$307$	−0.642884	+	1.00035i	−0.0366913	+	0.0570928i	0.822423	+	0.568876i	$0.192622\pi$
$308$	12.9058	−	7.29753i	0.735374	−	0.415815i
$309$	−1.10519	+	3.76393i	−0.0628720	+	0.214122i
$310$	−5.30609	−	12.5462i	−0.301366	−	0.712574i
$311$	−20.8027	+	18.0257i	−1.17961	+	1.02214i	−0.180357	+	0.983601i	$0.557725\pi$
$311$	−20.8027	+	18.0257i	−1.17961	+	1.02214i	−0.999257	+	0.0385404i	$0.987729\pi$
$312$	5.43491	−	1.94420i	0.307691	−	0.110068i
$313$	20.1190	+	9.18804i	1.13719	+	0.519339i	0.892852	−	0.450351i	$-0.148701\pi$
$313$	20.1190	+	9.18804i	1.13719	+	0.519339i	0.244341	+	0.969689i	$0.421428\pi$
$314$	10.4258	−	8.52993i	0.588365	−	0.481372i
$315$	−0.638354	−	2.17403i	−0.0359672	−	0.122493i
$316$	−17.0281	+	17.5407i	−0.957907	+	0.986742i
$317$	0.747953	+	1.63779i	0.0420092	+	0.0919874i	0.929473	−	0.368890i	$-0.120262\pi$
$317$	0.747953	+	1.63779i	0.0420092	+	0.0919874i	−0.887464	+	0.460877i	$0.847535\pi$
$318$	3.57250	−	20.6771i	0.200336	−	1.15951i
$319$	16.5770	−	10.6534i	0.928135	−	0.596476i
$320$	11.8849	−	7.19346i	0.664387	−	0.402127i
$321$			5.91764i			0.330291i
$322$	15.1587	+	17.2148i	0.844760	+	0.959343i
$323$			13.8250i			0.769243i
$324$	14.9857	−	3.49340i	0.832537	−	0.194078i
$325$	−2.10711	+	1.35416i	−0.116882	+	0.0751153i
$326$	4.76326	+	0.822974i	0.263812	+	0.0455803i
$327$	4.64992	+	10.1819i	0.257141	+	0.563061i
$328$	−25.6776	+	13.5756i	−1.41781	+	0.749588i
$329$	5.60532	+	19.0900i	0.309031	+	1.05246i
$330$	5.51129	+	6.73627i	0.303387	+	0.370819i
$331$	−24.3625	−	11.1260i	−1.33908	−	0.611540i	−0.388341	−	0.921516i	$-0.626952\pi$
$331$	−24.3625	−	11.1260i	−1.33908	−	0.611540i	−0.950744	+	0.309976i	$0.899679\pi$
$332$	−9.09091	−	11.7760i	−0.498929	−	0.646291i
$333$	1.53333	−	1.32863i	0.0840257	−	0.0728087i
$334$	20.6581	−	8.73683i	1.13036	−	0.478058i
$335$	4.70612	−	16.0276i	0.257123	−	0.875681i
$336$	−2.46953	+	21.7326i	−0.134724	+	1.18561i
$337$	16.0342	−	24.9497i	0.873439	−	1.35910i	−0.0591845	−	0.998247i	$-0.518850\pi$
$337$	16.0342	−	24.9497i	0.873439	−	1.35910i	0.932624	−	0.360851i	$-0.117514\pi$
$338$	−16.1253	−	0.456253i	−0.877100	−	0.0248169i
$339$	0.665889	−	4.63136i	0.0361661	−	0.251541i
$340$	−2.06748	+	10.2321i	−0.112125	+	0.554916i
$341$	12.0345	−	1.73029i	0.651703	−	0.0937007i
$342$	2.42700	−	0.638655i	0.131237	−	0.0345345i
$343$	5.67476	−	6.54902i	0.306408	−	0.353614i
$344$	−17.4758	−	24.0120i	−0.942233	−	1.29464i
$345$	−8.44323	+	10.4894i	−0.454568	+	0.564731i
$346$	−11.4845	−	3.72809i	−0.617413	−	0.200423i
$347$	−9.86065	−	8.54431i	−0.529348	−	0.458682i	0.348714	−	0.937229i	$-0.386618\pi$
$347$	−9.86065	−	8.54431i	−0.529348	−	0.458682i	−0.878062	+	0.478547i	$0.841164\pi$
$348$	−1.64374	+	29.0239i	−0.0881135	+	1.55585i
$349$	−0.768133	−	5.34248i	−0.0411172	−	0.285977i	−0.999998	−	0.00216623i	$-0.999310\pi$
$349$	−0.768133	−	5.34248i	−0.0411172	−	0.285977i	0.958880	−	0.283810i	$-0.0915986\pi$
$350$	−1.08449	−	9.42899i	−0.0579682	−	0.504001i
$351$	6.83935	+	0.983350i	0.365057	+	0.0524873i
$352$	3.50957	+	11.8924i	0.187061	+	0.633866i
$353$	−12.4754	−	8.01748i	−0.664001	−	0.426727i	0.164757	−	0.986334i	$-0.447316\pi$
$353$	−12.4754	−	8.01748i	−0.664001	−	0.426727i	−0.828758	+	0.559607i	$0.810952\pi$
$354$	−1.75143	+	1.90935i	−0.0930873	+	0.101481i
$355$	−1.89211	−	0.555573i	−0.100423	−	0.0294868i
$356$	−5.05311	+	0.436794i	−0.267814	+	0.0231500i
$357$	−10.7629	−	12.4210i	−0.569632	−	0.657390i
$358$	−5.80159	+	8.48954i	−0.306624	+	0.448686i
$359$	−2.49099	+	5.45452i	−0.131470	+	0.287878i	−0.963906	−	0.266242i	$-0.914218\pi$
$359$	−2.49099	+	5.45452i	−0.131470	+	0.287878i	0.832437	+	0.554120i	$0.186945\pi$
$360$	1.89178	−	0.109732i	0.0997056	−	0.00578337i
$361$	−2.06930	+	0.607602i	−0.108911	+	0.0319791i
$362$	4.19340	+	2.06033i	0.220400	+	0.108289i
$363$	9.11185	−	4.16124i	0.478248	−	0.218409i
$364$	−3.98000	+	7.55294i	−0.208609	+	0.395882i
$365$	−9.95204	−	15.4857i	−0.520913	−	0.810557i
$366$	7.96542	−	4.80629i	0.416359	−	0.251229i
$367$	−8.47229			−0.442250			−0.221125	−	0.975245i	$-0.570973\pi$
$367$	−8.47229			−0.442250			−0.221125	+	0.975245i	$0.570973\pi$
$368$	−16.8870	+	9.10106i	−0.880296	+	0.474425i
$369$	−3.96189			−0.206248
$370$	−11.0577	+	6.67218i	−0.574864	+	0.346870i
$371$	16.7792	+	26.1090i	0.871133	+	1.35551i
$372$	−8.36178	+	15.8683i	−0.433538	+	0.822735i
$373$	18.0022	−	8.22133i	0.932119	−	0.425684i	0.109313	−	0.994007i	$-0.465135\pi$
$373$	18.0022	−	8.22133i	0.932119	−	0.425684i	0.822806	+	0.568323i	$0.192408\pi$
$374$	−8.36231	−	4.10864i	−0.432405	−	0.212453i
$375$	18.8160	−	5.52486i	0.971652	−	0.285303i
$376$	−16.6115	+	0.963543i	−0.856674	+	0.0496909i
$377$	−4.71370	+	10.3216i	−0.242768	+	0.531587i
$378$	−14.7728	+	21.6172i	−0.759830	+	1.11187i
$379$	−10.9782	−	12.6695i	−0.563913	−	0.650790i	0.400155	−	0.916448i	$-0.368956\pi$
$379$	−10.9782	−	12.6695i	−0.563913	−	0.650790i	−0.964067	+	0.265658i	$0.914411\pi$
$380$	−15.9156	+	1.37575i	−0.816452	+	0.0705746i
$381$	20.7017	+	6.07857i	1.06058	+	0.311414i
$382$	−6.19637	+	6.75510i	−0.317034	+	0.345621i
$383$	3.19071	+	2.05055i	0.163038	+	0.104778i	0.619615	−	0.784906i	$-0.287289\pi$
$383$	3.19071	+	2.05055i	0.163038	+	0.104778i	−0.456578	+	0.889684i	$0.650925\pi$
$384$	−17.2404	−	6.11423i	−0.879798	−	0.312016i
$385$	−12.7420	−	1.83203i	−0.649394	−	0.0933687i
$386$	1.90453	+	16.5588i	0.0969383	+	0.842823i
$387$	−0.576507	−	4.00969i	−0.0293055	−	0.203824i
$388$	−1.76235	+	31.1184i	−0.0894700	+	1.57980i
$389$	−3.89729	−	3.37702i	−0.197600	−	0.171222i	0.550441	−	0.834874i	$-0.314460\pi$
$389$	−3.89729	−	3.37702i	−0.197600	−	0.171222i	−0.748041	+	0.663653i	$0.769005\pi$
$390$	−4.76695	−	1.54744i	−0.241384	−	0.0783575i
$391$	3.55703	−	13.9689i	0.179887	−	0.706438i
$392$	−7.38604	−	10.1485i	−0.373051	−	0.512577i
$393$	−14.3739	+	16.5884i	−0.725069	+	0.836775i
$394$	26.4199	−	6.95230i	1.33102	−	0.350252i
$395$	21.0102	−	3.02081i	1.05714	−	0.151993i
$396$	−0.334975	+	1.65782i	−0.0168331	+	0.0833086i
$397$	0.288677	−	2.00779i	0.0144883	−	0.100768i	−0.981294	−	0.192514i	$-0.938336\pi$
$397$	0.288677	−	2.00779i	0.0144883	−	0.100768i	0.995782	+	0.0917462i	$0.0292449\pi$
$398$	19.9537	+	0.564575i	1.00019	+	0.0282996i
$399$	13.5979	−	21.1587i	0.680745	−	1.05926i
$400$	7.88694	+	0.896210i	0.394347	+	0.0448105i
$401$	6.71773	−	22.8785i	0.335467	−	1.14250i	−0.603176	−	0.797608i	$-0.706098\pi$
$401$	6.71773	−	22.8785i	0.335467	−	1.14250i	0.938644	−	0.344889i	$-0.112083\pi$
$402$	−20.2578	+	8.56755i	−1.01037	+	0.427311i
$403$	−5.29112	+	4.58478i	−0.263569	+	0.228384i
$404$	8.36803	+	10.8396i	0.416325	+	0.539290i
$405$	−12.1531	−	5.55015i	−0.603894	−	0.275789i
$406$	−27.2267	−	33.2782i	−1.35124	−	1.65157i
$407$	−3.24751	−	11.0600i	−0.160973	−	0.548224i
$408$	12.1515	−	6.42445i	0.601591	−	0.318058i
$409$	−3.06160	−	6.70397i	−0.151386	−	0.331490i	0.818711	−	0.574206i	$-0.194689\pi$
$409$	−3.06160	−	6.70397i	−0.151386	−	0.331490i	−0.970097	+	0.242716i	$0.921962\pi$
$410$	24.8511	+	4.29366i	1.22731	+	0.212049i
$411$	4.04688	−	2.60077i	0.199618	−	0.128287i
$412$	4.72574	−	1.10165i	0.232820	−	0.0542742i
$413$		−	3.83220i		−	0.188570i
$414$	−2.61659	+	0.0208614i	−0.128598	+	0.00102528i
$415$			12.9171i			0.634074i
$416$	−5.40248	−	4.66837i	−0.264878	−	0.228886i
$417$	−7.05845	+	4.53619i	−0.345654	+	0.222138i
$418$	2.42751	−	14.0501i	0.118733	−	0.687211i
$419$	−5.15118	−	11.2795i	−0.251652	−	0.551040i	0.741076	−	0.671421i	$-0.234316\pi$
$419$	−5.15118	−	11.2795i	−0.251652	−	0.551040i	−0.992728	+	0.120381i	$0.961588\pi$
$420$	13.2283	−	13.6265i	0.645473	−	0.664903i
$421$	5.25013	+	17.8803i	0.255876	+	0.871432i	0.982793	+	0.184708i	$0.0591339\pi$
$421$	5.25013	+	17.8803i	0.255876	+	0.871432i	−0.726918	+	0.686724i	$0.759048\pi$
$422$	16.2815	−	13.3207i	0.792569	−	0.648442i
$423$	−2.06457	−	0.942857i	−0.100383	−	0.0458433i
$424$	−24.4394	+	8.74254i	−1.18688	+	0.424575i
$425$	−4.50768	+	3.90593i	−0.218655	+	0.189465i
$426$	1.01143	+	2.39150i	0.0490038	+	0.115869i
$427$	−3.87661	+	13.2025i	−0.187602	+	0.638915i
$428$	6.37188	−	3.60296i	0.307996	−	0.174156i
$429$	2.41842	−	3.76313i	0.116762	−	0.181686i
$430$	−0.729304	+	25.7757i	−0.0351702	+	1.24302i
$431$	−0.524519	+	3.64811i	−0.0252652	+	0.175723i	−0.998547	−	0.0538914i	$-0.982838\pi$
$431$	−0.524519	+	3.64811i	−0.0252652	+	0.175723i	0.973282	+	0.229615i	$0.0737466\pi$
$432$	−14.8240	−	16.1165i	−0.713222	−	0.775404i
$433$	−16.6356	+	2.39183i	−0.799455	+	0.114944i	−0.529921	−	0.848047i	$-0.677779\pi$
$433$	−16.6356	+	2.39183i	−0.799455	+	0.114944i	−0.269533	+	0.962991i	$0.586869\pi$
$434$	−6.75127	−	25.6560i	−0.324071	−	1.23153i
$435$	16.5293	−	19.0759i	0.792521	−	0.914618i
$436$	8.13236	−	11.2061i	0.389469	−	0.536675i
$437$	22.0446	−	0.799671i	1.05454	−	0.0382535i
$438$	−7.48374	+	23.0540i	−0.357587	+	1.10156i
$439$	27.1448	+	23.5211i	1.29555	+	1.12260i	0.985095	+	0.172011i	$0.0550264\pi$
$439$	27.1448	+	23.5211i	1.29555	+	1.12260i	0.310454	+	0.950589i	$0.399519\pi$
$440$	3.89779	−	10.0357i	0.185820	−	0.478434i
$441$	−0.243657	−	1.69467i	−0.0116027	−	0.0806986i
$442$	5.33002	−	0.613039i	0.253523	−	0.0291593i
$443$	12.4283	+	1.78692i	0.590487	+	0.0848992i	0.431080	−	0.902314i	$-0.358133\pi$
$443$	12.4283	+	1.78692i	0.590487	+	0.0848992i	0.159407	+	0.987213i	$0.449042\pi$
$444$	16.0195	+	5.70588i	0.760252	+	0.270789i
$445$	3.70474	+	2.38089i	0.175621	+	0.112865i
$446$	−25.0741	−	23.0001i	−1.18729	−	1.08909i
$447$	−24.0573	−	7.06385i	−1.13787	−	0.334109i
$448$	24.9044	−	10.5728i	1.17662	−	0.499519i
$449$	−12.7671	−	14.7341i	−0.602518	−	0.695343i	0.369771	−	0.929123i	$-0.379436\pi$
$449$	−12.7671	−	14.7341i	−0.602518	−	0.695343i	−0.972290	+	0.233780i	$0.924891\pi$
$450$	0.893928	+	0.610894i	0.0421402	+	0.0287978i
$451$	−9.35066	+	20.4751i	−0.440305	+	0.964134i
$452$	−5.39229	+	2.10280i	−0.253632	+	0.0989076i
$453$	4.84437	−	1.42244i	0.227608	−	0.0668319i
$454$	−15.4953	+	31.5376i	−0.727230	+	1.48013i
$455$	6.74291	−	3.07938i	0.316112	−	0.144364i
$456$	14.6723	+	15.0727i	0.687092	+	0.705842i
$457$	21.6184	+	33.6389i	1.01127	+	1.57356i	0.803433	+	0.595396i	$0.203005\pi$
$457$	21.6184	+	33.6389i	1.01127	+	1.57356i	0.207833	+	0.978164i	$0.433359\pi$
$458$	−0.901257	−	1.49364i	−0.0421130	−	0.0697934i
$459$	16.4540			0.768008
$460$	16.4352	+	2.70484i	0.766297	+	0.126114i
$461$	1.28078			0.0596519			0.0298259	−	0.999555i	$-0.490505\pi$
$461$	1.28078			0.0596519			0.0298259	+	0.999555i	$0.490505\pi$
$462$	8.75711	+	14.5131i	0.407418	+	0.675209i
$463$	−10.6137	−	16.5153i	−0.493261	−	0.767529i	0.501990	−	0.864873i	$-0.332601\pi$
$463$	−10.6137	−	16.5153i	−0.493261	−	0.767529i	−0.995251	+	0.0973447i	$0.968965\pi$
$464$	32.2526	−	15.9013i	1.49729	−	0.738200i
$465$	14.1665	−	6.46962i	0.656956	−	0.300022i
$466$	3.48342	−	7.08981i	0.161366	−	0.328429i
$467$	20.8234	−	6.11431i	0.963593	−	0.282937i	0.238158	−	0.971227i	$-0.423457\pi$
$467$	20.8234	−	6.11431i	0.963593	−	0.282937i	0.725436	+	0.688290i	$0.241638\pi$
$468$	−0.353844	−	0.907375i	−0.0163565	−	0.0419434i
$469$	13.5143	−	29.5921i	0.624031	−	1.36644i
$470$	11.9283	+	8.15156i	0.550210	+	0.376003i
$471$	10.0853	+	11.6391i	0.464708	+	0.536302i
$472$	3.12227	+	0.723355i	0.143714	+	0.0332951i
$473$	−22.0827	−	6.48408i	−1.01537	−	0.298138i
$474$	−20.5966	−	18.8930i	−0.946032	−	0.867784i
$475$	−7.67865	−	4.93477i	−0.352321	−	0.226423i
$476$	−6.82147	+	19.1516i	−0.312661	+	0.877810i
$477$	−3.50445	−	0.503864i	−0.160458	−	0.0230703i
$478$	5.34452	−	0.614706i	0.244453	−	0.0281160i
$479$	3.53165	+	24.5632i	0.161365	+	1.12232i	0.896063	+	0.443926i	$0.146415\pi$
$479$	3.53165	+	24.5632i	0.161365	+	1.12232i	−0.734698	+	0.678394i	$0.762676\pi$
$480$	8.60517	+	13.3498i	0.392771	+	0.609331i
$481$	5.01639	+	4.34673i	0.228728	+	0.198194i
$482$	2.75357	−	8.48249i	0.125422	−	0.386367i
$483$	−19.1833	+	17.8804i	−0.872873	+	0.813585i
$484$	−10.0284	−	7.27769i	−0.455837	−	0.330804i
$485$	17.7222	−	20.4525i	0.804722	−	0.928698i
$486$	−1.43360	−	5.44792i	−0.0650293	−	0.247123i
$487$	−1.32198	+	0.190072i	−0.0599045	+	0.00861297i	−0.172202	−	0.985062i	$-0.555088\pi$
$487$	−1.32198	+	0.190072i	−0.0599045	+	0.00861297i	0.112297	+	0.993675i	$0.464179\pi$
$488$	−10.0250	−	5.65053i	−0.453809	−	0.255787i
$489$	−0.786494	+	5.47018i	−0.0355665	+	0.247370i
$490$	−0.308236	+	10.8939i	−0.0139247	+	0.492138i
$491$	1.34490	−	2.09271i	0.0606947	−	0.0944428i	−0.809580	−	0.587010i	$-0.800305\pi$
$491$	1.34490	−	2.09271i	0.0606947	−	0.0944428i	0.870275	+	0.492567i	$0.163941\pi$
$492$	−16.3449	−	28.9061i	−0.736883	−	1.30319i
$493$	−7.61256	+	25.9260i	−0.342852	+	1.16765i
$494$	3.19814	+	7.56194i	0.143891	+	0.340228i
$495$	1.10984	−	0.961681i	0.0498835	−	0.0432243i
$496$	22.1775	−	0.657818i	0.995797	−	0.0295369i
$497$	−3.49345	−	1.59540i	−0.156703	−	0.0715636i
$498$	13.1639	−	10.7701i	0.589891	−	0.482620i
$499$	8.86591	+	30.1945i	0.396893	+	1.35169i	0.879518	+	0.475865i	$0.157865\pi$
$499$	8.86591	+	30.1945i	0.396893	+	1.35169i	−0.482626	+	0.875827i	$0.660317\pi$
$500$	−17.4050	−	16.8964i	−0.778377	−	0.755632i
$501$	10.6527	+	23.3261i	0.475926	+	1.04213i
$502$	−3.14817	+	18.2212i	−0.140510	+	0.813252i
$503$	−17.3989	+	11.1816i	−0.775777	+	0.498561i	−0.867630	−	0.497211i	$-0.834357\pi$
$503$	−17.3989	+	11.1816i	−0.775777	+	0.498561i	0.0918529	+	0.995773i	$0.470721\pi$
$504$	3.67721	+	0.312800i	0.163796	+	0.0139332i
$505$		−	11.8899i		−	0.529095i
$506$	−6.06772	+	13.5718i	−0.269743	+	0.603338i
$507$		−	18.4431i		−	0.819089i
$508$	−6.05908	−	25.9917i	−0.268828	−	1.15319i
$509$	−12.0188	+	7.72402i	−0.532725	+	0.342361i	−0.779187	−	0.626791i	$-0.784368\pi$
$509$	−12.0188	+	7.72402i	−0.532725	+	0.342361i	0.246463	+	0.969152i	$0.420732\pi$
$510$	−11.7604	−	2.03191i	−0.520760	−	0.0899745i
$511$	−14.8926	−	32.6102i	−0.658808	−	1.44259i
$512$	3.91329	+	22.2865i	0.172945	+	0.984932i
$513$	7.09401	+	24.1600i	0.313208	+	1.06669i
$514$	5.64593	+	6.90083i	0.249031	+	0.304383i
$515$	−3.83249	−	1.75024i	−0.168880	−	0.0771249i
$516$	26.8764	−	20.7483i	1.18317	−	0.913391i
$517$	−9.74538	+	8.44442i	−0.428601	+	0.371385i
$518$	−23.1654	+	9.79722i	−1.01783	+	0.430465i
$519$	3.88920	−	13.2454i	0.170717	−	0.581408i
$520$	1.23614	+	6.07501i	0.0542084	+	0.266407i
$521$	6.48349	−	10.0885i	0.284047	−	0.441985i	−0.669685	−	0.742646i	$-0.733571\pi$
$521$	6.48349	−	10.0885i	0.284047	−	0.441985i	0.953731	+	0.300660i	$0.0972071\pi$
$522$	4.90302	+	0.138727i	0.214599	+	0.00607193i
$523$	−2.33081	+	16.2111i	−0.101919	+	0.708863i	0.873229	+	0.487310i	$0.162022\pi$
$523$	−2.33081	+	16.2111i	−0.101919	+	0.708863i	−0.975148	+	0.221553i	$0.928887\pi$
$524$	26.6133	+	5.37741i	1.16261	+	0.234913i
$525$	10.7406	−	1.54427i	0.468759	−	0.0673974i
$526$	25.2160	−	6.63550i	1.09947	−	0.289322i
$527$	−10.9177	+	12.5997i	−0.475584	+	0.548853i
$528$	−13.4774	+	4.39538i	−0.586531	+	0.191284i
$529$	−22.4798	−	4.86386i	−0.977384	−	0.211472i
$530$	21.4357	+	6.95841i	0.931108	+	0.302254i
$531$	0.330389	+	0.286284i	0.0143377	+	0.0124237i
$532$	−31.0619	−	1.75915i	−1.34670	−	0.0762690i
$533$	−1.84463	−	12.8297i	−0.0798999	−	0.555716i
$534$	−0.662574	−	5.76070i	−0.0286724	−	0.249290i
$535$	−6.29103	−	0.904514i	−0.271985	−	0.0391056i
$536$	21.5592	+	16.5964i	0.931214	+	0.716857i
$537$	−9.88966	−	6.35570i	−0.426770	−	0.274269i
$538$	−6.67072	+	7.27222i	−0.287595	+	0.313528i
$539$	−9.33313	−	2.74045i	−0.402006	−	0.118040i
$540$	1.63737	+	18.9422i	0.0704613	+	0.815141i
$541$	−13.9095	−	16.0525i	−0.598017	−	0.690149i	0.373361	−	0.927686i	$-0.378205\pi$
$541$	−13.9095	−	16.0525i	−0.598017	−	0.690149i	−0.971378	+	0.237537i	$0.923660\pi$
$542$	19.3709	−	28.3457i	0.832053	−	1.21755i
$543$	−2.21901	+	4.85895i	−0.0952267	+	0.208517i
$544$	−14.3161	−	9.17276i	−0.613796	−	0.393279i
$545$	−11.5351	+	3.38701i	−0.494110	+	0.145084i
$546$	−8.76040	−	4.30422i	−0.374910	−	0.184204i
$547$	−32.0158	+	14.6211i	−1.36890	+	0.625154i	−0.958063	−	0.286557i	$-0.907489\pi$
$547$	−32.0158	+	14.6211i	−1.36890	+	0.625154i	−0.410832	+	0.911711i	$0.634762\pi$
$548$	−5.26435	−	2.77404i	−0.224882	−	0.118501i
$549$	−0.848641	−	1.32051i	−0.0362191	−	0.0563581i
$550$	5.26691	−	3.17802i	0.224582	−	0.135511i
$551$	−41.3501			−1.76157
$552$	−10.9470	−	19.0046i	−0.465934	−	0.808890i
$553$	41.3387			1.75790
$554$	−22.7782	+	13.7443i	−0.967754	+	0.583938i
$555$	−7.98270	−	12.4213i	−0.338847	−	0.527256i
$556$	9.18193	+	4.83839i	0.389400	+	0.205194i
$557$	−3.53399	+	1.61392i	−0.149740	+	0.0683840i	−0.488876	−	0.872354i	$-0.662593\pi$
$557$	−3.53399	+	1.61392i	−0.149740	+	0.0683840i	0.339135	+	0.940738i	$0.389865\pi$
$558$	2.71626	+	1.33457i	0.114988	+	0.0564970i
$559$	12.7161	−	3.73377i	0.537832	−	0.157922i
$560$	−22.7264	−	5.94719i	−0.960368	−	0.251315i
$561$	4.42506	−	9.68952i	0.186826	−	0.409092i
$562$	16.9974	−	24.8725i	0.716993	−	1.04918i
$563$	−13.4225	−	15.4904i	−0.565692	−	0.652843i	0.398775	−	0.917049i	$-0.369436\pi$
$563$	−13.4225	−	15.4904i	−0.565692	−	0.652843i	−0.964466	+	0.264206i	$0.914890\pi$
$564$	−1.63830	−	18.9529i	−0.0689850	−	0.798062i
$565$	4.82181	+	1.41581i	0.202855	+	0.0595636i
$566$	−17.7316	+	19.3304i	−0.745313	+	0.812517i
$567$	−21.8894	−	14.0674i	−0.919267	−	0.590777i
$568$	1.95926	−	2.54513i	0.0822089	−	0.106791i
$569$	4.65846	+	0.669785i	0.195293	+	0.0280788i	0.239267	−	0.970954i	$-0.423093\pi$
$569$	4.65846	+	0.669785i	0.195293	+	0.0280788i	−0.0439743	+	0.999033i	$0.514002\pi$
$570$	−2.08688	−	18.1442i	−0.0874098	−	0.759979i
$571$	−2.03019	−	14.1203i	−0.0849609	−	0.590916i	−0.987177	−	0.159631i	$-0.948970\pi$
$571$	−2.03019	−	14.1203i	−0.0849609	−	0.590916i	0.902216	−	0.431285i	$-0.141940\pi$
$572$	−5.52444	−	0.312870i	−0.230989	−	0.0130818i
$573$	−7.92026	−	6.86295i	−0.330874	−	0.286704i
$574$	46.7156	+	15.1647i	1.94987	+	0.632963i
$575$	6.48892	+	6.96178i	0.270607	+	0.290326i
$576$	−0.948953	+	2.93695i	−0.0395397	+	0.122373i
$577$	−15.3229	+	17.6835i	−0.637900	+	0.736175i	−0.979002	−	0.203851i	$-0.934654\pi$
$577$	−15.3229	+	17.6835i	−0.637900	+	0.736175i	0.341102	+	0.940026i	$0.389200\pi$
$578$	−10.8947	+	2.86689i	−0.453159	+	0.119247i
$579$	−18.8623	+	2.71199i	−0.783890	+	0.112706i
$580$	−30.6040	−	6.18377i	−1.27076	−	0.256767i
$581$	−3.58013	+	24.9003i	−0.148529	+	1.03304i
$582$	−35.6199	−	1.00784i	−1.47649	−	0.0417762i
$583$	−10.8750	+	16.9218i	−0.450396	+	0.700830i
$584$	29.3801	−	5.97826i	1.21576	−	0.247382i
$585$	−0.238242	+	0.811379i	−0.00985011	+	0.0335464i
$586$	11.9660	−	5.06074i	0.494312	−	0.209057i
$587$	10.4322	−	9.03958i	0.430584	−	0.373104i	−0.412435	−	0.910987i	$-0.635321\pi$
$587$	10.4322	−	9.03958i	0.430584	−	0.373104i	0.843019	+	0.537884i	$0.180776\pi$
$588$	11.3591	−	8.76911i	0.468443	−	0.361632i
$589$	−23.2077	−	10.5986i	−0.956257	−	0.436708i
$590$	−1.76212	−	2.15378i	−0.0725454	−	0.0886699i
$591$	8.79957	+	29.9686i	0.361966	+	1.23274i
$592$	−3.60962	−	20.7232i	−0.148354	−	0.851718i
$593$	16.7515	+	36.6807i	0.687902	+	1.50630i	0.854048	+	0.520195i	$0.174141\pi$
$593$	16.7515	+	36.6807i	0.687902	+	1.50630i	−0.166145	+	0.986101i	$0.553132\pi$
$594$	−16.7219	−	2.88913i	−0.686108	−	0.118543i
$595$	14.8499	−	9.54343i	0.608785	−	0.391242i
$596$	7.04120	+	30.2047i	0.288419	+	1.23723i
$597$			22.8219i			0.934037i
$598$	−1.28582	−	8.46351i	−0.0525811	−	0.346099i
$599$		−	41.8684i		−	1.71070i	−0.518053	−	0.855349i	$-0.673343\pi$
$599$		−	41.8684i		−	1.71070i	0.518053	−	0.855349i	$-0.326657\pi$
$600$	−0.769184	+	9.04238i	−0.0314018	+	0.369154i
$601$	−7.20674	+	4.63149i	−0.293969	+	0.188922i	−0.679309	−	0.733852i	$-0.737720\pi$
$601$	−7.20674	+	4.63149i	−0.293969	+	0.188922i	0.385340	+	0.922775i	$0.374084\pi$
$602$	−8.54995	+	49.4859i	−0.348470	+	2.01689i
$603$	1.54168	+	3.37580i	0.0627819	+	0.137473i
$604$	−4.48112	−	4.35017i	−0.182334	−	0.177006i
$605$	3.03106	+	10.3228i	0.123230	+	0.419683i
$606$	−12.1172	+	9.91370i	−0.492227	+	0.402716i
$607$	−8.58494	−	3.92061i	−0.348452	−	0.159133i	0.233498	−	0.972357i	$-0.424983\pi$
$607$	−8.58494	−	3.92061i	−0.348452	−	0.159133i	−0.581950	+	0.813225i	$0.697710\pi$
$608$	7.29642	−	24.9755i	0.295909	−	1.01289i
$609$	37.1509	−	32.1914i	1.50543	−	1.30446i
$610$	3.89204	+	9.20266i	0.157584	+	0.372605i
$611$	2.09198	−	7.12463i	0.0846325	−	0.288232i
$612$	−1.14154	−	2.01882i	−0.0461439	−	0.0816061i
$613$	2.27732	−	3.54357i	0.0919799	−	0.143124i	−0.792214	−	0.610243i	$-0.791072\pi$
$613$	2.27732	−	3.54357i	0.0919799	−	0.143124i	0.884194	+	0.467119i	$0.154708\pi$
$614$	−0.0475623	+	1.68099i	−0.00191946	+	0.0678392i
$615$	−4.10334	+	28.5393i	−0.165463	+	1.15082i
$616$	10.2953	−	18.2656i	0.414810	−	0.735942i
$617$	−28.5736	+	4.10827i	−1.15033	+	0.165393i	−0.690988	−	0.722867i	$-0.742824\pi$
$617$	−28.5736	+	4.10827i	−1.15033	+	0.165393i	−0.459343	+	0.888259i	$0.651915\pi$
$618$	1.41180	+	5.36507i	0.0567908	+	0.215815i
$619$	−15.5650	+	17.9630i	−0.625611	+	0.721994i	−0.976762	−	0.214325i	$-0.931245\pi$
$619$	−15.5650	+	17.9630i	−0.625611	+	0.721994i	0.351151	+	0.936319i	$0.385790\pi$
$620$	−15.5915	−	11.3149i	−0.626170	−	0.454416i
$621$	−0.951741	−	26.2367i	−0.0381921	−	1.05284i
$622$	−12.0192	+	37.0256i	−0.481925	+	1.48459i
$623$	6.48176	+	5.61647i	0.259686	+	0.225019i
$624$	5.16044	−	6.32505i	0.206583	−	0.253205i
$625$	1.58538	+	11.0266i	0.0634152	+	0.441062i
$626$	31.0743	−	3.57405i	1.24198	−	0.142848i
$627$	16.1353	+	2.31990i	0.644381	+	0.0926479i
$628$	6.39205	−	17.9460i	0.255071	−	0.716122i
$629$	13.2970	+	8.54548i	0.530187	+	0.340731i
$630$	−2.36137	−	2.16605i	−0.0940791	−	0.0862976i
$631$	22.0638	+	6.47852i	0.878346	+	0.257906i	0.689661	−	0.724132i	$-0.257759\pi$
$631$	22.0638	+	6.47852i	0.878346	+	0.257906i	0.188685	+	0.982038i	$0.439578\pi$
$632$	−7.80299	+	33.6806i	−0.310386	+	1.33974i
$633$	15.7497	+	18.1762i	0.625995	+	0.722437i
$634$	2.10228	+	1.43666i	0.0834922	+	0.0570571i
$635$	−9.62637	+	21.0788i	−0.382011	+	0.836487i
$636$	−10.7815	−	27.6473i	−0.427513	−	1.09629i
$637$	5.37436	−	1.57806i	0.212940	−	0.0625248i
$638$	12.2888	−	25.0114i	0.486518	−	0.990211i
$639$	0.398524	−	0.182000i	0.0157654	−	0.00719980i
$640$	9.13523	−	17.3937i	0.361102	−	0.687547i
$641$	−3.90915	−	6.08276i	−0.154402	−	0.240255i	0.755431	−	0.655228i	$-0.227427\pi$
$641$	−3.90915	−	6.08276i	−0.154402	−	0.240255i	−0.909834	+	0.414973i	$0.863791\pi$
$642$	4.32359	+	7.16544i	0.170639	+	0.282798i
$643$	34.7683			1.37113			0.685564	−	0.728012i	$-0.259556\pi$
$643$	34.7683			1.37113			0.685564	+	0.728012i	$0.259556\pi$
$644$	30.9326	+	9.76938i	1.21892	+	0.384967i
$645$	−29.4807			−1.16080
$646$	10.1009	+	16.7401i	0.397415	+	0.658632i
$647$	7.40179	+	11.5174i	0.290995	+	0.452796i	0.955714	−	0.294297i	$-0.0950854\pi$
$647$	7.40179	+	11.5174i	0.290995	+	0.452796i	−0.664720	+	0.747093i	$0.731449\pi$
$648$	15.5932	−	15.1790i	0.612558	−	0.596286i
$649$	2.25929	−	1.03178i	0.0886847	−	0.0405010i
$650$	−1.56204	+	3.17921i	−0.0612681	+	0.124699i
$651$	29.1020	−	8.54512i	1.14060	−	0.334910i
$652$	6.36893	−	2.48366i	0.249426	−	0.0972676i
$653$	−0.364562	+	0.798279i	−0.0142664	+	0.0312391i	−0.916631	−	0.399734i	$-0.869102\pi$
$653$	−0.364562	+	0.798279i	−0.0142664	+	0.0312391i	0.902365	+	0.430973i	$0.141830\pi$
$654$	13.0696	+	8.93151i	0.511061	+	0.349250i
$655$	−15.4380	−	17.8164i	−0.603214	−	0.696146i
$656$	−21.1733	+	35.1990i	−0.826679	+	1.37429i
$657$	3.92401	+	1.15219i	0.153090	+	0.0449513i
$658$	20.7349	+	19.0199i	0.808331	+	0.741473i
$659$	20.9908	+	13.4900i	0.817685	+	0.525494i	0.881343	−	0.472477i	$-0.156640\pi$
$659$	20.9908	+	13.4900i	0.817685	+	0.525494i	−0.0636575	+	0.997972i	$0.520277\pi$
$660$	11.5951	+	4.12998i	0.451339	+	0.160759i
$661$	−7.28937	−	1.04805i	−0.283524	−	0.0407645i	−0.000914126	−	1.00000i	$-0.500291\pi$
$661$	−7.28937	−	1.04805i	−0.283524	−	0.0407645i	−0.282610	+	0.959235i	$0.591200\pi$
$662$	−37.6286	+	4.32789i	−1.46248	+	0.168208i
$663$	0.872945	+	6.07146i	0.0339024	+	0.235796i
$664$	−19.6117	−	7.61702i	−0.761081	−	0.295598i
$665$	20.4153	+	17.6900i	0.791672	+	0.685988i
$666$	0.885908	−	2.72908i	0.0343282	−	0.105750i
$667$	41.7805	+	10.6390i	1.61775	+	0.411942i
$668$	18.6307	−	25.6724i	0.720843	−	0.993297i
$669$	25.4744	−	29.3990i	0.984897	−	1.13663i
$670$	−6.01173	−	22.8456i	−0.232253	−	0.882602i
$671$	−8.82733	+	1.26918i	−0.340775	+	0.0489961i
$672$	12.8882	+	28.1195i	0.497173	+	1.08473i
$673$	7.19362	−	50.0327i	0.277294	−	1.92862i	−0.0846326	−	0.996412i	$-0.526972\pi$
$673$	7.19362	−	50.0327i	0.277294	−	1.92862i	0.361926	−	0.932207i	$-0.382119\pi$
$674$	1.18626	−	41.9257i	0.0456928	−	1.61492i
$675$	−5.87319	+	9.13887i	−0.226059	+	0.351755i
$676$	−19.8588	+	11.2291i	−0.763801	+	0.431889i
$677$	−2.44273	+	8.31918i	−0.0938818	+	0.319732i	−0.993022	−	0.117928i	$-0.962375\pi$
$677$	−2.44273	+	8.31918i	−0.0938818	+	0.319732i	0.899140	+	0.437661i	$0.144193\pi$
$678$	−2.57750	−	6.09445i	−0.0989883	−	0.234056i
$679$	39.8318	−	34.5144i	1.52860	−	1.32454i
$680$	4.97245	+	13.9003i	0.190685	+	0.533051i
$681$	−36.5430	−	16.6886i	−1.40033	−	0.639510i
$682$	13.3079	−	10.8878i	0.509584	−	0.416917i
$683$	−5.21368	−	17.7562i	−0.199496	−	0.679421i	−0.997090	−	0.0762271i	$-0.975713\pi$
$683$	−5.21368	−	17.7562i	−0.199496	−	0.679421i	0.797594	−	0.603194i	$-0.206106\pi$
$684$	2.47214	−	2.54655i	0.0945246	−	0.0973699i
$685$	2.14631	+	4.69976i	0.0820062	+	0.179569i
$686$	2.08645	−	12.0761i	0.0796611	−	0.461067i
$687$	1.67783	−	1.07828i	0.0640133	−	0.0411388i
$688$	−38.7046	−	16.3069i	−1.47560	−	0.621693i
$689$		−	11.5830i		−	0.441276i
$690$	−2.55973	+	18.8701i	−0.0974471	+	0.718371i
$691$		−	30.3006i		−	1.15269i	−0.817207	−	0.576345i	$-0.804478\pi$
$691$		−	30.3006i		−	1.15269i	0.817207	−	0.576345i	$-0.195522\pi$
$692$	−16.6300	+	3.87673i	−0.632179	+	0.147371i
$693$	2.40599	−	1.54623i	0.0913959	−	0.0587365i
$694$	−18.1826	−	3.14150i	−0.690201	−	0.119250i
$695$	−3.74353	−	8.19718i	−0.142000	−	0.310937i
$696$	19.2153	+	36.3449i	0.728355	+	1.37765i
$697$	−8.69583	−	29.6153i	−0.329378	−	1.12176i
$698$	−4.83347	−	5.90779i	−0.182949	−	0.223613i
$699$	8.21505	+	3.75169i	0.310722	+	0.141902i
$700$	−8.20224	−	10.6248i	−0.310015	−	0.401581i
$701$	−9.43170	+	8.17261i	−0.356230	+	0.308675i	−0.814529	−	0.580123i	$-0.803004\pi$
$701$	−9.43170	+	8.17261i	−0.356230	+	0.308675i	0.458299	+	0.888798i	$0.348459\pi$
$702$	8.99996	−	3.80631i	0.339682	−	0.143660i
$703$	−6.81471	+	23.2088i	−0.257022	+	0.875335i
$704$	12.9385	+	11.8358i	0.487638	+	0.446080i
$705$	−8.93011	+	13.8955i	−0.336327	+	0.523336i
$706$	−20.9638	−	0.593155i	−0.788984	−	0.0223237i
$707$	3.29545	−	22.9203i	0.123938	−	0.862008i
$708$	−0.725710	+	3.59160i	−0.0272738	+	0.134981i
$709$	−2.01164	+	0.289231i	−0.0755489	+	0.0108623i	−0.179986	−	0.983669i	$-0.557605\pi$
$709$	−2.01164	+	0.289231i	−0.0755489	+	0.0108623i	0.104437	+	0.994532i	$0.466696\pi$
$710$	−2.69700	+	0.709704i	−0.101216	+	0.0266347i
$711$	−3.08821	+	3.56398i	−0.115817	+	0.133660i
$712$	−5.79948	+	4.22084i	−0.217345	+	0.158183i
$713$	20.7224	+	16.6801i	0.776060	+	0.624673i
$714$	−22.1075	−	7.17648i	−0.827351	−	0.268573i
$715$	3.63092	+	3.14621i	0.135789	+	0.117662i
$716$	−0.822236	+	14.5185i	−0.0307284	+	0.542580i
$717$	0.875319	+	6.08798i	0.0326894	+	0.227360i
$718$	0.968970	+	8.42465i	0.0361617	+	0.314405i
$719$	−14.0910	−	2.02598i	−0.525506	−	0.0755563i	−0.125544	−	0.992088i	$-0.540068\pi$
$719$	−14.0910	−	2.02598i	−0.525506	−	0.0755563i	−0.399962	+	0.916532i	$0.630977\pi$
$720$	2.21051	−	1.51506i	0.0823808	−	0.0564628i
$721$	−6.90283	−	4.43618i	−0.257075	−	0.165212i
$722$	−2.06171	+	2.24761i	−0.0767288	+	0.0836474i
$723$	9.78305	+	2.87256i	0.363836	+	0.106832i
$724$	6.58296	−	0.569035i	0.244654	−	0.0211480i
$725$	−11.6825	−	13.4823i	−0.433877	−	0.500721i
$726$	7.99286	−	11.6960i	0.296643	−	0.434081i
$727$	17.3908	−	38.0804i	0.644987	−	1.41233i	−0.250887	−	0.968016i	$-0.580722\pi$
$727$	17.3908	−	38.0804i	0.644987	−	1.41233i	0.895874	−	0.444309i	$-0.146551\pi$
$728$	0.699155	+	12.0535i	0.0259124	+	0.446731i
$729$	28.3259	−	8.31724i	1.04911	−	0.308046i
$730$	−23.3648	−	11.4798i	−0.864769	−	0.424885i
$731$	28.7072	−	13.1101i	1.06177	−	0.484896i
$732$	6.13341	−	11.6395i	0.226697	−	0.430208i
$733$	−4.72294	−	7.34904i	−0.174446	−	0.271443i	0.743010	−	0.669280i	$-0.233397\pi$
$733$	−4.72294	−	7.34904i	−0.174446	−	0.271443i	−0.917456	+	0.397837i	$0.869761\pi$
$734$	−10.2588	+	6.19009i	−0.378658	+	0.228480i
$735$	−12.4598			−0.459588
$736$	−13.7983	+	23.3582i	−0.508613	+	0.860995i
$737$	21.0847			0.776666
$738$	−4.79730	+	2.89467i	−0.176591	+	0.106554i
$739$	15.4854	+	24.0958i	0.569641	+	0.886379i	0.999866	−	0.0163427i	$-0.00520226\pi$
$739$	15.4854	+	24.0958i	0.569641	+	0.886379i	−0.430225	+	0.902722i	$0.641566\pi$
$740$	−8.51450	+	16.1582i	−0.312999	+	0.593986i
$741$	−8.53857	+	3.89943i	−0.313672	+	0.143249i
$742$	39.3932	+	19.3550i	1.44617	+	0.710543i
$743$	−30.5037	+	8.95668i	−1.11907	+	0.328589i	−0.788403	−	0.615159i	$-0.789092\pi$
$743$	−30.5037	+	8.95668i	−1.11907	+	0.328589i	−0.330667	+	0.943747i	$0.607274\pi$
$744$	1.46889	+	25.3237i	0.0538521	+	0.928412i
$745$	11.1867	−	24.4955i	0.409850	−	0.897446i
$746$	15.7914	−	23.1078i	0.578166	−	0.846036i
$747$	−1.87931	−	2.16884i	−0.0687602	−	0.0793536i
$748$	−13.1275	+	1.13475i	−0.479988	+	0.0414905i
$749$	−11.8766	−	3.48728i	−0.433961	−	0.127422i
$750$	18.7469	−	20.4373i	0.684540	−	0.746264i
$751$	−3.61720	−	2.32464i	−0.131994	−	0.0848272i	0.472978	−	0.881074i	$-0.343179\pi$
$751$	−3.61720	−	2.32464i	−0.131994	−	0.0848272i	−0.604971	+	0.796247i	$0.706815\pi$
$752$	−19.4103	+	13.3035i	−0.707819	+	0.485131i
$753$	−20.9254	−	3.00862i	−0.762566	−	0.109640i
$754$	1.83358	+	15.9419i	0.0667750	+	0.580571i
$755$	0.771724	+	5.36746i	0.0280859	+	0.195342i
$756$	−2.09368	+	36.9688i	−0.0761465	+	1.34454i
$757$	22.1031	+	19.1524i	0.803350	+	0.696107i	0.956383	−	0.292114i	$-0.0943587\pi$
$757$	22.1031	+	19.1524i	0.803350	+	0.696107i	−0.153033	+	0.988221i	$0.548904\pi$
$758$	−22.5498	−	7.32006i	−0.819045	−	0.265876i
$759$	−15.7064	−	6.49550i	−0.570105	−	0.235772i
$760$	−18.2664	+	13.2942i	−0.662591	+	0.482231i
$761$	10.6357	−	12.2742i	0.385542	−	0.444939i	−0.529493	−	0.848315i	$-0.677618\pi$
$761$	10.6357	−	12.2742i	0.385542	−	0.444939i	0.915035	+	0.403375i	$0.132163\pi$
$762$	29.5080	−	7.76493i	1.06896	−	0.281294i
$763$	−23.1751	+	3.33207i	−0.838993	+	0.120629i
$764$	−2.56749	+	12.7067i	−0.0928884	+	0.459713i
$765$	−0.286580	+	1.99321i	−0.0103613	+	0.0720646i
$766$	5.36169	+	0.151705i	0.193726	+	0.00548133i
$767$	−0.773240	+	1.20318i	−0.0279201	+	0.0434445i
$768$	−25.3430	+	5.19285i	−0.914487	+	0.187381i
$769$	−13.3382	+	45.4259i	−0.480989	+	1.63810i	0.259290	+	0.965800i	$0.416512\pi$
$769$	−13.3382	+	45.4259i	−0.480989	+	1.63810i	−0.740279	+	0.672300i	$0.765307\pi$
$770$	−16.7673	+	7.09134i	−0.604253	+	0.255554i
$771$	−7.70389	+	6.67546i	−0.277449	+	0.240411i
$772$	14.4045	+	18.6590i	0.518428	+	0.671550i
$773$	−46.9462	−	21.4396i	−1.68854	−	0.771129i	−0.998896	−	0.0469787i	$-0.985041\pi$
$773$	−46.9462	−	21.4396i	−1.68854	−	0.771129i	−0.689642	−	0.724151i	$-0.742232\pi$
$774$	−3.62766	−	4.43397i	−0.130393	−	0.159376i
$775$	−3.10109	−	10.5613i	−0.111394	−	0.379375i
$776$	20.6020	+	38.9677i	0.739568	+	1.39886i
$777$	−11.9456	−	26.1572i	−0.428545	−	0.938383i
$778$	−7.18641	−	1.24164i	−0.257645	−	0.0445148i
$779$	39.7359	−	25.5367i	1.42369	−	0.914949i
$780$	−6.90271	+	1.60913i	−0.247157	+	0.0576162i
$781$		−	2.48912i		−	0.0890677i
$782$	−5.89900	−	19.5133i	−0.210948	−	0.697793i
$783$			49.2134i			1.75874i
$784$	−16.3582	−	6.89199i	−0.584223	−	0.246142i
$785$	−13.9151	+	8.94266i	−0.496650	+	0.319177i
$786$	−5.28490	+	30.5882i	−0.188506	+	1.09105i
$787$	0.322091	+	0.705281i	0.0114813	+	0.0251406i	0.915286	−	0.402805i	$-0.131965\pi$
$787$	0.322091	+	0.705281i	0.0114813	+	0.0251406i	−0.903804	+	0.427946i	$0.859237\pi$
$788$	26.9113	−	27.7214i	0.958676	−	0.987534i
$789$	8.39859	+	28.6030i	0.298998	+	1.01829i
$790$	23.2333	−	19.0084i	0.826604	−	0.676288i
$791$	8.90263	+	4.06569i	0.316541	+	0.144559i
$792$	0.805641	+	2.25213i	0.0286272	+	0.0800260i
$793$	3.88106	−	3.36296i	0.137820	−	0.119422i
$794$	−1.11740	−	2.64207i	−0.0396550	−	0.0937636i
$795$	−7.25912	+	24.7223i	−0.257455	+	0.876810i
$796$	24.5736	−	13.8951i	0.870990	−	0.492499i
$797$	−22.7268	+	35.3636i	−0.805025	+	1.25264i	0.159119	+	0.987259i	$0.449135\pi$
$797$	−22.7268	+	35.3636i	−0.805025	+	1.25264i	−0.964143	+	0.265383i	$0.914502\pi$
$798$	1.00601	−	35.5552i	0.0356123	−	1.25864i
$799$	2.51643	−	17.5022i	0.0890249	−	0.619182i
$800$	10.2048	−	4.67723i	0.360793	−	0.165365i
$801$	−0.968438	+	0.139240i	−0.0342181	+	0.00491982i
$802$	−8.58140	−	32.6108i	−0.303020	−	1.15153i
$803$	15.2158	−	17.5599i	0.536953	−	0.619676i
$804$	−18.2697	+	25.1750i	−0.644323	+	0.887855i
$805$	−16.0764	−	23.1268i	−0.566619	−	0.815112i
$806$	−3.05704	+	9.41737i	−0.107680	+	0.331713i
$807$	−8.52658	−	7.38832i	−0.300150	−	0.260081i
$808$	18.0522	+	7.01133i	0.635075	+	0.246658i
$809$	−4.72414	−	32.8571i	−0.166092	−	1.15520i	−0.886867	−	0.462026i	$-0.847123\pi$
$809$	−4.72414	−	32.8571i	−0.166092	−	1.15520i	0.720774	−	0.693170i	$-0.243786\pi$
$810$	−18.7708	+	2.15895i	−0.659540	+	0.0758577i
$811$	4.95309	+	0.712147i	0.173926	+	0.0250068i	0.228728	−	0.973490i	$-0.426543\pi$
$811$	4.95309	+	0.712147i	0.173926	+	0.0250068i	−0.0548013	+	0.998497i	$0.517453\pi$
$812$	−57.2817	−	20.4028i	−2.01019	−	0.715997i
$813$	33.0206	+	21.2210i	1.15808	+	0.744255i
$814$	−12.0130	−	11.0194i	−0.421056	−	0.386230i
$815$	−5.69512	−	1.67224i	−0.199492	−	0.0585760i
$816$	10.0200	−	16.6574i	0.350769	−	0.583125i
$817$	31.6269	+	36.4994i	1.10649	+	1.27695i
$818$	−8.60527	−	5.88068i	−0.300876	−	0.205613i
$819$	−0.684145	+	1.49807i	−0.0239060	+	0.0523468i
$820$	33.2283	−	12.9579i	1.16038	−	0.452509i
$821$	15.9459	−	4.68215i	0.556517	−	0.163408i	0.00863330	−	0.999963i	$-0.497252\pi$
$821$	15.9459	−	4.68215i	0.556517	−	0.163408i	0.547883	+	0.836555i	$0.315434\pi$
$822$	3.00002	−	6.10594i	0.104638	−	0.212969i
$823$	1.90055	−	0.867954i	0.0662491	−	0.0302550i	−0.382015	−	0.924156i	$-0.624770\pi$
$823$	1.90055	−	0.867954i	0.0662491	−	0.0302550i	0.448264	+	0.893901i	$0.352042\pi$
$824$	4.91732	−	4.78669i	0.171303	−	0.166752i
$825$	3.80224	+	5.91639i	0.132377	+	0.205982i
$826$	−2.79991	−	4.64026i	−0.0974213	−	0.161455i
$827$	−20.8563			−0.725243			−0.362622	−	0.931936i	$-0.618118\pi$
$827$	−20.8563			−0.725243			−0.362622	+	0.931936i	$0.618118\pi$
$828$	−3.15308	+	1.93701i	−0.109577	+	0.0673157i
$829$	42.6604			1.48166			0.740828	−	0.671695i	$-0.234433\pi$
$829$	42.6604			1.48166			0.740828	+	0.671695i	$0.234433\pi$
$830$	9.43756	+	15.6408i	0.327583	+	0.542899i
$831$	−16.4438	−	25.5871i	−0.570431	−	0.887607i
$832$	−9.95249	−	1.70555i	−0.345040	−	0.0591292i
$833$	12.1329	−	5.54091i	0.420380	−	0.191981i
$834$	−5.23254	+	10.6498i	−0.181188	+	0.368772i
$835$	−26.4262	+	7.75942i	−0.914515	+	0.268526i
$836$	−7.32599	−	18.7863i	−0.253375	−	0.649737i
$837$	−12.6141	+	27.6210i	−0.436007	+	0.954722i
$838$	−14.4785	−	9.89433i	−0.500151	−	0.341794i
$839$	−35.4594	−	40.9223i	−1.22419	−	1.41280i	−0.880722	−	0.473633i	$-0.842942\pi$
$839$	−35.4594	−	40.9223i	−1.22419	−	1.41280i	−0.343473	−	0.939163i	$-0.611603\pi$
$840$	6.06173	−	26.1647i	0.209150	−	0.902767i
$841$	−49.7185	−	14.5987i	−1.71443	−	0.503402i
$842$	19.4210	+	17.8147i	0.669292	+	0.613934i
$843$	28.9746	+	18.6208i	0.997938	+	0.641336i
$844$	9.98212	−	28.0252i	0.343599	−	0.964668i
$845$	19.6069	+	2.81904i	0.674497	+	0.0969780i
$846$	−3.18878	+	0.366762i	−0.109633	+	0.0126095i
$847$	2.98189	+	20.7395i	0.102459	+	0.712618i
$848$	−23.2051	+	28.4421i	−0.796868	+	0.976705i
$849$	−22.6646	−	19.6390i	−0.777849	−	0.674010i
$850$	−2.60440	+	8.02297i	−0.0893301	+	0.275186i
$851$	12.8570	−	21.6970i	0.440734	−	0.743765i
$852$	2.97199	+	2.15680i	0.101819	+	0.0738907i
$853$	7.25059	−	8.36763i	0.248256	−	0.286502i	−0.617921	−	0.786240i	$-0.712025\pi$
$853$	7.25059	−	8.36763i	0.248256	−	0.286502i	0.866177	+	0.499738i	$0.166570\pi$
$854$	4.95208	+	18.8188i	0.169457	+	0.643965i
$855$	−3.05025	+	0.438560i	−0.104316	+	0.0149984i
$856$	5.08304	−	9.01815i	0.173735	−	0.308234i
$857$	4.00257	−	27.8385i	0.136725	−	0.950944i	−0.799781	−	0.600292i	$-0.795051\pi$
$857$	4.00257	−	27.8385i	0.136725	−	0.950944i	0.936506	−	0.350652i	$-0.114040\pi$
$858$	0.178921	−	6.32359i	0.00610827	−	0.215884i
$859$	−25.1222	+	39.0909i	−0.857158	+	1.33376i	0.0842330	+	0.996446i	$0.473156\pi$
$859$	−25.1222	+	39.0909i	−0.857158	+	1.33376i	−0.941391	+	0.337318i	$0.890480\pi$
$860$	17.9493	+	31.7436i	0.612068	+	1.08245i
$861$	−15.8201	+	53.8782i	−0.539146	+	1.83616i
$862$	2.03029	+	4.80058i	0.0691519	+	0.163508i
$863$	−6.56222	+	5.68620i	−0.223381	+	0.193560i	−0.759360	−	0.650671i	$-0.774488\pi$
$863$	−6.56222	+	5.68620i	−0.223381	+	0.193560i	0.535980	+	0.844231i	$0.319942\pi$
$864$	−29.7250	−	8.68395i	−1.01126	−	0.295434i
$865$	13.4867	+	6.15916i	0.458561	+	0.209418i
$866$	−18.3958	+	15.0506i	−0.625115	+	0.511439i
$867$	−3.62864	−	12.3580i	−0.123235	−	0.419700i
$868$	−26.9198	−	26.1332i	−0.913717	−	0.887017i
$869$	11.1300	+	24.3714i	0.377561	+	0.826743i
$870$	6.07738	−	35.1750i	0.206042	−	1.19254i
$871$	−10.2140	+	6.56412i	−0.346087	+	0.222417i
$872$	1.65967	−	19.5107i	0.0562035	−	0.660717i
$873$			6.01246i			0.203491i
$874$	26.1087	−	17.0747i	0.883139	−	0.577559i
$875$			41.0190i			1.38670i
$876$	7.78212	+	33.3830i	0.262934	+	1.12791i
$877$	24.9958	−	16.0639i	0.844050	−	0.542438i	−0.0456639	−	0.998957i	$-0.514540\pi$
$877$	24.9958	−	16.0639i	0.844050	−	0.542438i	0.889714	+	0.456519i	$0.150904\pi$
$878$	50.0537	+	8.64804i	1.68923	+	0.291857i
$879$	6.17047	+	13.5114i	0.208125	+	0.455729i
$880$	−2.61268	−	14.9997i	−0.0880736	−	0.505639i
$881$	7.29756	+	24.8532i	0.245861	+	0.837325i	0.986266	+	0.165165i	$0.0528155\pi$
$881$	7.29756	+	24.8532i	0.245861	+	0.837325i	−0.740405	+	0.672161i	$0.765366\pi$
$882$	−1.53321	−	1.87399i	−0.0516257	−	0.0631004i
$883$	22.9712	+	10.4906i	0.773043	+	0.353037i	0.762568	−	0.646908i	$-0.223938\pi$
$883$	22.9712	+	10.4906i	0.773043	+	0.353037i	0.0104752	+	0.999945i	$0.496666\pi$
$884$	6.00601	−	4.63656i	0.202004	−	0.155945i
$885$	2.40442	−	2.08344i	0.0808237	−	0.0700341i
$886$	16.3545	−	6.91675i	0.549441	−	0.232373i
$887$	−3.50114	+	11.9238i	−0.117557	+	0.400362i	−0.997157	−	0.0753519i	$-0.975992\pi$
$887$	−3.50114	+	11.9238i	−0.117557	+	0.400362i	0.879600	+	0.475714i	$0.157810\pi$
$888$	23.5663	−	4.79526i	0.790832	−	0.160918i
$889$	−24.3991	+	37.9657i	−0.818319	+	1.27333i
$890$	6.22546	+	0.176145i	0.208678	+	0.00590439i
$891$	2.40002	−	16.6925i	0.0804036	−	0.559219i
$892$	−47.1657	−	9.53019i	−1.57923	−	0.319094i
$893$	26.7839	−	3.85095i	0.896290	−	0.128867i
$894$	−34.2910	+	9.02355i	−1.14686	+	0.301793i
$895$	8.26837	−	9.54221i	0.276381	−	0.318961i
$896$	22.4309	−	30.9980i	0.749365	−	1.03557i
$897$	9.63074	−	1.74314i	0.321561	−	0.0582018i
$898$	−26.2243	−	8.51288i	−0.875117	−	0.284078i
$899$	−37.6854	−	32.6546i	−1.25688	−	1.08909i
$900$	1.52876	+	0.0865795i	0.0509586	+	0.00288598i
$901$	−3.92540	−	27.3018i	−0.130774	−	0.909554i
$902$	3.63731	+	31.6243i	0.121109	+	1.05297i
$903$	−56.8302	−	8.17095i	−1.89119	−	0.271912i
$904$	−4.99295	+	6.48596i	−0.166063	+	0.215720i
$905$	−4.82636	−	3.10171i	−0.160434	−	0.103104i
$906$	4.82659	−	5.26180i	0.160353	−	0.174812i
$907$	13.9698	+	4.10191i	0.463860	+	0.136202i	0.505308	−	0.862939i	$-0.331379\pi$
$907$	13.9698	+	4.10191i	0.463860	+	0.136202i	−0.0414481	+	0.999141i	$0.513197\pi$
$908$	4.27958	+	49.5089i	0.142023	+	1.64301i
$909$	1.72987	+	1.99638i	0.0573762	+	0.0662156i
$910$	5.91484	−	8.65525i	0.196075	−	0.286919i
$911$	−0.753301	+	1.64950i	−0.0249580	+	0.0546504i	−0.921700	−	0.387902i	$-0.873200\pi$
$911$	−0.753301	+	1.64950i	−0.0249580	+	0.0546504i	0.896742	+	0.442553i	$0.145927\pi$
$912$	28.7786	+	7.53095i	0.952954	+	0.249375i
$913$	−15.6440	+	4.59349i	−0.517741	+	0.152022i
$914$	50.7543	+	24.9370i	1.67880	+	0.824843i
$915$	−10.3912	+	4.74550i	−0.343522	+	0.156881i
$916$	−2.18259	−	1.15011i	−0.0721149	−	0.0380008i
$917$	−24.8220	−	38.6237i	−0.819694	−	1.27547i
$918$	19.9235	−	12.0218i	0.657574	−	0.396777i
$919$	−12.9380			−0.426786			−0.213393	−	0.976966i	$-0.568452\pi$
$919$	−12.9380			−0.426786			−0.213393	+	0.976966i	$0.568452\pi$
$920$	21.8770	−	8.73284i	0.721264	−	0.287913i
$921$	−1.92262			−0.0633524
$922$	1.55085	−	0.935773i	0.0510744	−	0.0308180i
$923$	0.774916	+	1.20579i	0.0255067	+	0.0396892i
$924$	21.2073	+	11.1751i	0.697669	+	0.367635i
$925$	−9.49264	+	4.33514i	−0.312116	+	0.142539i
$926$	−24.9182	−	12.2430i	−0.818863	−	0.402330i
$927$	0.898136	−	0.263717i	0.0294987	−	0.00866159i
$928$	27.4354	−	42.8189i	0.900612	−	1.40560i
$929$	−23.7544	+	52.0149i	−0.779358	+	1.70656i	−0.0744838	+	0.997222i	$0.523731\pi$
$929$	−23.7544	+	52.0149i	−0.779358	+	1.70656i	−0.704874	+	0.709333i	$0.748996\pi$
$930$	12.4268	−	18.1842i	0.407490	−	0.596285i
$931$	13.3669	+	15.4262i	0.438083	+	0.505574i
$932$	−0.962071	−	11.1298i	−0.0315137	−	0.364570i
$933$	−42.7025	−	12.5386i	−1.39802	−	0.410494i
$934$	20.7470	−	22.6177i	0.678862	−	0.740075i
$935$	9.62454	+	6.18532i	0.314756	+	0.202281i
$936$	−1.09141	−	0.840176i	−0.0356738	−	0.0274620i
$937$	26.1988	+	3.76682i	0.855878	+	0.123057i	0.556266	−	0.831004i	$-0.312234\pi$
$937$	26.1988	+	3.76682i	0.855878	+	0.123057i	0.299612	+	0.954061i	$0.403143\pi$
$938$	−5.25691	−	45.7059i	−0.171644	−	1.49235i
$939$	5.08932	+	35.3970i	0.166084	+	1.15514i
$940$	20.3992	+	1.15529i	0.665349	+	0.0376813i
$941$	−19.2557	−	16.6851i	−0.627716	−	0.543919i	0.281860	−	0.959455i	$-0.409049\pi$
$941$	−19.2557	−	16.6851i	−0.627716	−	0.543919i	−0.909577	+	0.415536i	$0.863594\pi$
$942$	20.7158	+	6.72471i	0.674957	+	0.219103i
$943$	−46.7200	+	15.5789i	−1.52141	+	0.507320i
$944$	4.30914	−	1.40533i	0.140250	−	0.0457397i
$945$	21.0540	−	24.2976i	0.684887	−	0.790401i
$946$	−31.4766	+	8.28293i	−1.02339	+	0.269301i
$947$	56.0412	−	8.05751i	1.82109	−	0.261834i	0.854741	−	0.519055i	$-0.173716\pi$
$947$	56.0412	−	8.05751i	1.82109	−	0.261834i	0.966353	+	0.257221i	$0.0828068\pi$
$948$	−38.7433	−	7.82838i	−1.25833	−	0.254254i
$949$	−1.90412	+	13.2435i	−0.0618104	+	0.429901i
$950$	−12.9033	−	0.365088i	−0.418637	−	0.0118450i
$951$	−1.57387	+	2.44900i	−0.0510364	+	0.0794141i
$952$	5.73280	+	28.1738i	0.185801	+	0.913119i
$953$	1.93097	−	6.57629i	0.0625503	−	0.213027i	−0.922287	−	0.386505i	$-0.873682\pi$
$953$	1.93097	−	6.57629i	0.0625503	−	0.213027i	0.984838	+	0.173478i	$0.0555005\pi$
$954$	−4.61154	+	1.95034i	−0.149304	+	0.0631445i
$955$	8.50660	−	7.37101i	0.275267	−	0.238520i
$956$	6.02235	−	4.64917i	0.194777	−	0.150365i
$957$	28.9810	+	13.2352i	0.936824	+	0.427833i
$958$	22.2229	+	27.1623i	0.717988	+	0.877573i
$959$	2.83486	+	9.65464i	0.0915423	+	0.311765i
$960$	20.1734	+	9.87755i	0.651093	+	0.318797i
$961$	0.0967784	+	0.211915i	0.00312188	+	0.00683597i
$962$	9.24999	+	1.59817i	0.298232	+	0.0515271i
$963$	1.18789	−	0.763412i	0.0382793	−	0.0246006i
$964$	−2.86335	−	12.2829i	−0.0922224	−	0.395607i
$965$		−	20.4670i		−	0.658856i
$966$	−10.1645	+	35.6665i	−0.327037	+	1.14755i
$967$		−	29.7161i		−	0.955606i	−0.878467	−	0.477803i	$-0.841433\pi$
$967$		−	29.7161i		−	0.955606i	0.878467	−	0.477803i	$-0.158567\pi$
$968$	−17.4603	−	1.48525i	−0.561195	−	0.0477377i
$969$	−18.8044	+	12.0849i	−0.604085	+	0.388222i
$970$	6.51594	−	37.7134i	0.209214	−	1.21090i
$971$	−10.6027	−	23.2167i	−0.340258	−	0.745060i	0.659722	−	0.751510i	$-0.270674\pi$
$971$	−10.6027	−	23.2167i	−0.340258	−	0.745060i	−0.999979	+	0.00644991i	$0.997947\pi$
$972$	−5.71629	−	5.54925i	−0.183350	−	0.177992i
$973$	−4.94448	−	16.8393i	−0.158513	−	0.539844i
$974$	−1.46186	+	1.19602i	−0.0468410	+	0.0383230i
$975$	−3.68380	−	1.68233i	−0.117976	−	0.0538778i
$976$	−16.2673	+	0.482512i	−0.520703	+	0.0154448i
$977$	40.3884	−	34.9967i	1.29214	−	1.11964i	0.306303	−	0.951934i	$-0.400908\pi$
$977$	40.3884	−	34.9967i	1.29214	−	1.11964i	0.985836	−	0.167711i	$-0.0536375\pi$
$978$	3.04433	+	7.19827i	0.0973470	+	0.230175i
$979$	−1.56606	+	5.33352i	−0.0500516	+	0.170460i
$980$	7.58617	+	13.4162i	0.242331	+	0.428566i
$981$	1.44402	−	2.24694i	0.0461040	−	0.0717392i
$982$	0.0994997	−	3.51661i	0.00317516	−	0.112219i
$983$	−1.04781	+	7.28765i	−0.0334198	+	0.232440i	−0.999685	−	0.0251104i	$-0.992006\pi$
$983$	−1.04781	+	7.28765i	−0.0334198	+	0.232440i	0.966265	+	0.257550i	$0.0829154\pi$
$984$	−40.9109	−	23.0593i	−1.30419	−	0.735102i
$985$	−33.2045	+	4.77409i	−1.05798	+	0.152115i
$986$	9.72448	+	36.9547i	0.309691	+	1.17688i
$987$	−21.0660	+	24.3114i	−0.670537	+	0.773841i
$988$	9.39746	+	6.81981i	0.298973	+	0.216967i
$989$	−22.5652	−	45.0167i	−0.717533	−	1.43145i
$990$	0.641230	−	1.97534i	0.0203796	−	0.0627804i
$991$	−7.33542	−	6.35618i	−0.233017	−	0.201911i	0.530524	−	0.847670i	$-0.321995\pi$
$991$	−7.33542	−	6.35618i	−0.233017	−	0.201911i	−0.763541	+	0.645760i	$0.776541\pi$
$992$	26.3732	−	17.0000i	0.837350	−	0.539750i
$993$	−6.16276	−	42.8629i	−0.195569	−	1.36021i
$994$	−5.39572	+	0.620595i	−0.171142	+	0.0196841i
$995$	−24.2619	−	3.48833i	−0.769153	−	0.110587i
$996$	8.07077	−	22.6590i	0.255732	−	0.717979i
$997$	6.38162	+	4.10122i	0.202108	+	0.129887i	0.637780	−	0.770219i	$-0.279853\pi$
$997$	6.38162	+	4.10122i	0.202108	+	0.129887i	−0.435672	+	0.900105i	$0.643489\pi$
$998$	32.7963	+	30.0837i	1.03815	+	0.952282i
$999$	27.6223	+	8.11063i	0.873930	+	0.256609i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	92.2.h.a.7.9	yes	100
3.2	odd	2		828.2.u.a.559.2		100
4.3	odd	2	inner	92.2.h.a.7.7	✓	100
12.11	even	2		828.2.u.a.559.4		100
23.10	odd	22	inner	92.2.h.a.79.7	yes	100
69.56	even	22		828.2.u.a.631.4		100
92.79	even	22	inner	92.2.h.a.79.9	yes	100
276.263	odd	22		828.2.u.a.631.2		100

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
92.2.h.a.7.7	✓	100	4.3	odd	2	inner
92.2.h.a.7.9	yes	100	1.1	even	1	trivial
92.2.h.a.79.7	yes	100	23.10	odd	22	inner
92.2.h.a.79.9	yes	100	92.79	even	22	inner
828.2.u.a.559.2		100	3.2	odd	2
828.2.u.a.559.4		100	12.11	even	2
828.2.u.a.631.2		100	276.263	odd	22
828.2.u.a.631.4		100	69.56	even	22

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:	\( N \)	\(=\)	\( 92 = 2^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	92.h (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(1.21086 - 0.730627i) q^{2} +(0.874133 + 1.36018i) q^{3} +(0.932368 - 1.76938i) q^{4} +(-1.57961 + 0.721385i) q^{5} +(2.05224 + 1.00832i) q^{6} +(-3.24497 + 0.952810i) q^{7} +(-0.163786 - 2.82368i) q^{8} +(0.160270 - 0.350942i) q^{9} +O(q^{10})\)	\(q+(1.21086 - 0.730627i) q^{2} +(0.874133 + 1.36018i) q^{3} +(0.932368 - 1.76938i) q^{4} +(-1.57961 + 0.721385i) q^{5} +(2.05224 + 1.00832i) q^{6} +(-3.24497 + 0.952810i) q^{7} +(-0.163786 - 2.82368i) q^{8} +(0.160270 - 0.350942i) q^{9} +(-1.38563 + 2.02761i) q^{10} +(-1.43541 - 1.65655i) q^{11} +(3.22168 - 0.278484i) q^{12} +(1.21107 + 0.355602i) q^{13} +(-3.23306 + 3.52459i) q^{14} +(-2.36201 - 1.51797i) q^{15} +(-2.26138 - 3.29942i) q^{16} +(2.97507 + 0.427751i) q^{17} +(-0.0623433 - 0.542040i) q^{18} +(0.654597 + 4.55282i) q^{19} +(-0.196379 + 3.46753i) q^{20} +(-4.13253 - 3.58086i) q^{21} +(-2.94840 - 0.957104i) q^{22} +(0.509984 - 4.76864i) q^{23} +(3.69754 - 2.69105i) q^{24} +(-1.29952 + 1.49973i) q^{25} +(1.72625 - 0.454255i) q^{26} +(5.41861 - 0.779078i) q^{27} +(-1.33963 + 6.62995i) q^{28} +(-1.27939 + 8.89835i) q^{29} +(-3.96913 - 0.112304i) q^{30} +(-2.99883 + 4.66627i) q^{31} +(-5.14886 - 2.34291i) q^{32} +(0.998465 - 3.40046i) q^{33} +(3.91493 - 1.65572i) q^{34} +(4.43846 - 3.84595i) q^{35} +(-0.471518 - 0.610785i) q^{36} +(4.78357 + 2.18458i) q^{37} +(4.11904 + 5.03456i) q^{38} +(0.574953 + 1.95811i) q^{39} +(2.29568 + 4.34217i) q^{40} +(-4.26594 - 9.34112i) q^{41} +(-7.62019 - 1.31658i) q^{42} +(8.83306 - 5.67666i) q^{43} +(-4.26939 + 0.995264i) q^{44} +0.669969i q^{45} +(-2.86658 - 6.14677i) q^{46} -5.88293i q^{47} +(2.51105 - 5.96001i) q^{48} +(3.73323 - 2.39920i) q^{49} +(-0.477798 + 2.76543i) q^{50} +(2.01879 + 4.42054i) q^{51} +(1.75835 - 1.81128i) q^{52} +(-2.58541 - 8.80511i) q^{53} +(5.99197 - 4.90234i) q^{54} +(3.46240 + 1.58123i) q^{55} +(3.22191 + 9.00671i) q^{56} +(-5.62044 + 4.87014i) q^{57} +(4.95221 + 11.7094i) q^{58} +(-0.319239 + 1.08723i) q^{59} +(-4.88811 + 2.76397i) q^{60} +(2.19965 - 3.42273i) q^{61} +(-0.221862 + 7.84123i) q^{62} +(-0.185690 + 1.29151i) q^{63} +(-7.94635 + 0.924960i) q^{64} +(-2.16955 + 0.311934i) q^{65} +(-1.27547 - 4.84699i) q^{66} +(-6.29927 + 7.26974i) q^{67} +(3.53072 - 4.86520i) q^{68} +(6.93199 - 3.47476i) q^{69} +(2.56440 - 7.89977i) q^{70} +(0.858217 + 0.743649i) q^{71} +(-1.01720 - 0.395072i) q^{72} +(1.50858 + 10.4924i) q^{73} +(7.38836 - 0.849781i) q^{74} +(-3.17585 - 0.456618i) q^{75} +(8.66597 + 3.08668i) q^{76} +(6.23625 + 4.00779i) q^{77} +(2.12684 + 1.95092i) q^{78} +(-11.7281 - 3.44369i) q^{79} +(5.95226 + 3.58048i) q^{80} +(5.03832 + 5.81454i) q^{81} +(-11.9903 - 8.19398i) q^{82} +(3.09002 - 6.76620i) q^{83} +(-10.1889 + 3.97332i) q^{84} +(-5.00804 + 1.47049i) q^{85} +(6.54808 - 13.3273i) q^{86} +(-13.2217 + 6.03815i) q^{87} +(-4.44247 + 4.32446i) q^{88} +(-1.37105 - 2.13340i) q^{89} +(0.489498 + 0.811240i) q^{90} -4.26871 q^{91} +(-7.96202 - 5.34848i) q^{92} -8.96833 q^{93} +(-4.29823 - 7.12341i) q^{94} +(-4.31835 - 6.71948i) q^{95} +(-1.31402 - 9.05138i) q^{96} +(-14.1758 + 6.47388i) q^{97} +(2.76750 - 5.63270i) q^{98} +(-0.811407 + 0.238251i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9}+O(q^{10}) \) 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9	\( 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25} + 12 q^{26} - 11 q^{28} - 42 q^{29} - 11 q^{30} - 27 q^{32} - 22 q^{33} + 11 q^{34} + 77 q^{36} - 22 q^{37} + 44 q^{38} + 77 q^{40} - 10 q^{41} + 99 q^{42} + 66 q^{44} + 65 q^{46} + 38 q^{48} - 8 q^{49} + 30 q^{50} + 96 q^{52} - 22 q^{53} + 48 q^{54} + 44 q^{56} - 22 q^{57} + 79 q^{58} + 11 q^{60} - 22 q^{61} - 36 q^{62} + 10 q^{64} - 22 q^{65} - 44 q^{66} - 10 q^{69} + 34 q^{70} - 21 q^{72} - 18 q^{73} - 22 q^{74} - 66 q^{76} + 122 q^{77} - 66 q^{78} - 110 q^{80} + 8 q^{81} - 122 q^{82} - 165 q^{84} + 54 q^{85} - 121 q^{86} - 99 q^{88} + 22 q^{89} - 198 q^{90} - 86 q^{92} + 212 q^{93} - 61 q^{94} - 147 q^{96} + 22 q^{97} - 71 q^{98}+O(q^{100}) \) 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

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