LMFDB - Embedded newform 276.2.m.a.7.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(7,276)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(276, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 19]))

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

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

chi := DirichletCharacter("276.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.m (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:	$2.20387109579$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			7.8
Character	$\chi$	$=$	276.7
Dual form			276.2.m.a.79.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.805537 + 1.16237i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-0.702219 - 1.87267i) q^{4} +(0.0885609 - 0.0404444i) q^{5} +(1.41336 + 0.0492354i) q^{6} +(-3.48963 + 1.02465i) q^{7} +(2.74240 + 0.692265i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})$	\(q+(-0.805537 + 1.16237i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-0.702219 - 1.87267i) q^{4} +(0.0885609 - 0.0404444i) q^{5} +(1.41336 + 0.0492354i) q^{6} +(-3.48963 + 1.02465i) q^{7} +(2.74240 + 0.692265i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(-0.0243277 + 0.135520i) q^{10} +(3.43965 + 3.96957i) q^{11} +(-1.19574 + 1.60319i) q^{12} +(5.49635 + 1.61387i) q^{13} +(1.62000 - 4.88164i) q^{14} +(-0.0819036 - 0.0526363i) q^{15} +(-3.01378 + 2.63005i) q^{16} +(5.74128 + 0.825472i) q^{17} +(-0.722699 - 1.21561i) q^{18} +(0.110769 + 0.770415i) q^{19} +(-0.137928 - 0.137444i) q^{20} +(2.74862 + 2.38169i) q^{21} +(-7.38488 + 0.800518i) q^{22} +(2.16199 - 4.28086i) q^{23} +(-0.900284 - 2.68132i) q^{24} +(-3.26810 + 3.77158i) q^{25} +(-6.30344 + 5.08877i) q^{26} +(0.989821 - 0.142315i) q^{27} +(4.36931 + 5.81539i) q^{28} +(-0.408572 + 2.84168i) q^{29} +(0.127159 - 0.0528020i) q^{30} +(-0.397663 + 0.618775i) q^{31} +(-0.629382 - 5.62173i) q^{32} +(1.47980 - 5.03973i) q^{33} +(-5.58432 + 6.00856i) q^{34} +(-0.267603 + 0.231879i) q^{35} +(1.99515 + 0.139174i) q^{36} +(-7.89064 - 3.60354i) q^{37} +(-0.984738 - 0.491844i) q^{38} +(-1.61387 - 5.49635i) q^{39} +(0.270868 - 0.0496072i) q^{40} +(2.59872 + 5.69040i) q^{41} +(-4.98253 + 1.27638i) q^{42} +(-4.86197 + 3.12460i) q^{43} +(5.01830 - 9.22883i) q^{44} +0.0973590i q^{45} +(3.23439 + 5.96143i) q^{46} -0.478740i q^{47} +(3.84191 + 1.11344i) q^{48} +(5.23882 - 3.36678i) q^{49} +(-1.75141 - 6.83690i) q^{50} +(-2.40954 - 5.27616i) q^{51} +(-0.837388 - 11.4261i) q^{52} +(-1.44192 - 4.91072i) q^{53} +(-0.631915 + 1.26518i) q^{54} +(0.465165 + 0.212434i) q^{55} +(-10.2793 + 0.394245i) q^{56} +(0.588228 - 0.509703i) q^{57} +(-2.97397 - 2.76400i) q^{58} +(-3.12710 + 10.6499i) q^{59} +(-0.0410560 + 0.190341i) q^{60} +(6.34387 - 9.87125i) q^{61} +(-0.398915 - 0.960679i) q^{62} +(0.517592 - 3.59993i) q^{63} +(7.04154 + 3.79694i) q^{64} +(0.552034 - 0.0793704i) q^{65} +(4.66601 + 5.77977i) q^{66} +(8.20618 - 9.47044i) q^{67} +(-2.48580 - 11.3312i) q^{68} +(-4.77015 + 0.495629i) q^{69} +(-0.0539659 - 0.497842i) q^{70} +(10.8211 + 9.37649i) q^{71} +(-1.76894 + 2.20700i) q^{72} +(0.455716 + 3.16957i) q^{73} +(10.5449 - 6.26908i) q^{74} +(4.93972 + 0.710225i) q^{75} +(1.36495 - 0.748434i) q^{76} +(-16.0705 - 10.3279i) q^{77} +(7.68884 + 2.55159i) q^{78} +(11.4458 + 3.36080i) q^{79} +(-0.160532 + 0.354810i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-8.70772 - 1.56315i) q^{82} +(-0.759844 + 1.66383i) q^{83} +(2.52999 - 6.81973i) q^{84} +(0.541839 - 0.159098i) q^{85} +(0.284553 - 8.16840i) q^{86} +(2.61147 - 1.19262i) q^{87} +(6.68491 + 13.2673i) q^{88} +(-1.64320 - 2.55687i) q^{89} +(-0.113167 - 0.0784263i) q^{90} -20.8339 q^{91} +(-9.53483 - 1.04259i) q^{92} +0.735540 q^{93} +(0.556474 + 0.385643i) q^{94} +(0.0409688 + 0.0637487i) q^{95} +(-4.38903 + 3.56881i) q^{96} +(-8.28922 + 3.78556i) q^{97} +(-0.306608 + 8.80153i) q^{98} +(-5.03973 + 1.47980i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{19}{22}\right)$	$-1$	$1$

Coefficient data

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

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

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

$2$	−0.805537	+	1.16237i	−0.569601	+	0.821921i
$2$	−0.805537	+	1.16237i	−0.569601	+	0.821921i
$3$	−0.540641	−	0.841254i	−0.312139	−	0.485698i
$3$	−0.540641	−	0.841254i	−0.312139	−	0.485698i
$4$	−0.702219	−	1.87267i	−0.351109	−	0.936334i
$5$	0.0885609	−	0.0404444i	0.0396056	−	0.0180873i	−0.395514	−	0.918460i	$-0.629433\pi$
$5$	0.0885609	−	0.0404444i	0.0396056	−	0.0180873i	0.435119	+	0.900373i	$0.356706\pi$
$6$	1.41336	+	0.0492354i	0.577000	+	0.0201002i
$7$	−3.48963	+	1.02465i	−1.31895	+	0.387280i	−0.864116	−	0.503293i	$-0.832121\pi$
$7$	−3.48963	+	1.02465i	−1.31895	+	0.387280i	−0.454839	+	0.890574i	$0.650303\pi$
$8$	2.74240	+	0.692265i	0.969586	+	0.244753i
$9$	−0.415415	+	0.909632i	−0.138472	+	0.303211i
$10$	−0.0243277	+	0.135520i	−0.00769308	+	0.0428552i
$11$	3.43965	+	3.96957i	1.03709	+	1.19687i	0.980102	+	0.198495i	$0.0636054\pi$
$11$	3.43965	+	3.96957i	1.03709	+	1.19687i	0.0569918	+	0.998375i	$0.481849\pi$
$12$	−1.19574	+	1.60319i	−0.345181	+	0.462800i
$13$	5.49635	+	1.61387i	1.52441	+	0.447608i	0.933335	−	0.359007i	$-0.116884\pi$
$13$	5.49635	+	1.61387i	1.52441	+	0.447608i	0.591078	+	0.806615i	$0.298703\pi$
$14$	1.62000	−	4.88164i	0.432964	−	1.30467i
$15$	−0.0819036	−	0.0526363i	−0.0211474	−	0.0135906i
$16$	−3.01378	+	2.63005i	−0.753444	+	0.657512i
$17$	5.74128	+	0.825472i	1.39247	+	0.200206i	0.797390	−	0.603464i	$-0.206213\pi$
$17$	5.74128	+	0.825472i	1.39247	+	0.200206i	0.595075	+	0.803670i	$0.297122\pi$
$18$	−0.722699	−	1.21561i	−0.170342	−	0.286522i
$19$	0.110769	+	0.770415i	0.0254121	+	0.176745i	0.998575	−	0.0533738i	$-0.0169975\pi$
$19$	0.110769	+	0.770415i	0.0254121	+	0.176745i	−0.973162	+	0.230119i	$0.926088\pi$
$20$	−0.137928	−	0.137444i	−0.0308417	−	0.0307335i
$21$	2.74862	+	2.38169i	0.599799	+	0.519728i
$22$	−7.38488	+	0.800518i	−1.57446	+	0.170671i
$23$	2.16199	−	4.28086i	0.450806	−	0.892622i
$23$	2.16199	−	4.28086i	0.450806	−	0.892622i
$24$	−0.900284	−	2.68132i	−0.183770	−	0.547323i
$25$	−3.26810	+	3.77158i	−0.653619	+	0.754317i
$26$	−6.30344	+	5.08877i	−1.23621	+	0.997989i
$27$	0.989821	−	0.142315i	0.190491	−	0.0273885i
$28$	4.36931	+	5.81539i	0.825721	+	1.09901i
$29$	−0.408572	+	2.84168i	−0.0758700	+	0.527687i	0.916074	+	0.401009i	$0.131341\pi$
$29$	−0.408572	+	2.84168i	−0.0758700	+	0.527687i	−0.991944	+	0.126678i	$0.959569\pi$
$30$	0.127159	−	0.0528020i	0.0232160	−	0.00964028i
$31$	−0.397663	+	0.618775i	−0.0714223	+	0.111135i	−0.875127	−	0.483892i	$-0.839223\pi$
$31$	−0.397663	+	0.618775i	−0.0714223	+	0.111135i	0.803705	+	0.595028i	$0.202859\pi$
$32$	−0.629382	−	5.62173i	−0.111260	−	0.993791i
$33$	1.47980	−	5.03973i	0.257600	−	0.877304i
$34$	−5.58432	+	6.00856i	−0.957704	+	1.03046i
$35$	−0.267603	+	0.231879i	−0.0452332	+	0.0391948i
$36$	1.99515	+	0.139174i	0.332525	+	0.0231957i
$37$	−7.89064	−	3.60354i	−1.29721	−	0.592418i	−0.357351	−	0.933970i	$-0.616320\pi$
$37$	−7.89064	−	3.60354i	−1.29721	−	0.592418i	−0.939863	+	0.341553i	$0.889047\pi$
$38$	−0.984738	−	0.491844i	−0.159746	−	0.0797876i
$39$	−1.61387	−	5.49635i	−0.258427	−	0.880120i
$40$	0.270868	−	0.0496072i	0.0428280	−	0.00784358i
$41$	2.59872	+	5.69040i	0.405851	+	0.888691i	0.996643	+	0.0818666i	$0.0260882\pi$
$41$	2.59872	+	5.69040i	0.405851	+	0.888691i	−0.590792	+	0.806824i	$0.701185\pi$
$42$	−4.98253	+	1.27638i	−0.768822	+	0.196949i
$43$	−4.86197	+	3.12460i	−0.741444	+	0.476497i	−0.856036	−	0.516916i	$-0.827080\pi$
$43$	−4.86197	+	3.12460i	−0.741444	+	0.476497i	0.114593	+	0.993413i	$0.463444\pi$
$44$	5.01830	−	9.22883i	0.756537	−	1.39130i
$45$			0.0973590i			0.0145134i
$46$	3.23439	+	5.96143i	0.476885	+	0.878965i
$47$		−	0.478740i		−	0.0698313i	−0.999390	−	0.0349157i	$-0.988884\pi$
$47$		−	0.478740i		−	0.0698313i	0.999390	−	0.0349157i	$-0.0111163\pi$
$48$	3.84191	+	1.11344i	0.554532	+	0.160711i
$49$	5.23882	−	3.36678i	0.748402	−	0.480969i
$50$	−1.75141	−	6.83690i	−0.247687	−	0.966883i
$51$	−2.40954	−	5.27616i	−0.337403	−	0.738810i
$52$	−0.837388	−	11.4261i	−0.116125	−	1.58452i
$53$	−1.44192	−	4.91072i	−0.198062	−	0.674539i	−0.997294	−	0.0735156i	$-0.976578\pi$
$53$	−1.44192	−	4.91072i	−0.198062	−	0.674539i	0.799232	−	0.601023i	$-0.205240\pi$
$54$	−0.631915	+	1.26518i	−0.0859928	+	0.172169i
$55$	0.465165	+	0.212434i	0.0627229	+	0.0286446i
$56$	−10.2793	+	0.394245i	−1.37363	+	0.0526833i
$57$	0.588228	−	0.509703i	0.0779127	−	0.0675118i
$58$	−2.97397	−	2.76400i	−0.390502	−	0.362930i
$59$	−3.12710	+	10.6499i	−0.407114	+	1.38650i	0.459790	+	0.888028i	$0.347925\pi$
$59$	−3.12710	+	10.6499i	−0.407114	+	1.38650i	−0.866904	+	0.498475i	$0.833894\pi$
$60$	−0.0410560	+	0.190341i	−0.00530031	+	0.0245729i
$61$	6.34387	−	9.87125i	0.812249	−	1.26388i	−0.149174	−	0.988811i	$-0.547661\pi$
$61$	6.34387	−	9.87125i	0.812249	−	1.26388i	0.961423	−	0.275074i	$-0.0887022\pi$
$62$	−0.398915	−	0.960679i	−0.0506623	−	0.122006i
$63$	0.517592	−	3.59993i	0.0652104	−	0.453548i
$64$	7.04154	+	3.79694i	0.880192	+	0.474618i
$65$	0.552034	−	0.0793704i	0.0684713	−	0.00984469i
$66$	4.66601	+	5.77977i	0.574346	+	0.711440i
$67$	8.20618	−	9.47044i	1.00254	−	1.15700i	0.0149632	−	0.999888i	$-0.495237\pi$
$67$	8.20618	−	9.47044i	1.00254	−	1.15700i	0.987581	−	0.157110i	$-0.0502177\pi$
$68$	−2.48580	−	11.3312i	−0.301448	−	1.37411i
$69$	−4.77015	+	0.495629i	−0.574259	+	0.0596667i
$70$	−0.0539659	−	0.497842i	−0.00645016	−	0.0595035i
$71$	10.8211	+	9.37649i	1.28422	+	1.11279i	0.987466	+	0.157832i	$0.0504504\pi$
$71$	10.8211	+	9.37649i	1.28422	+	1.11279i	0.296757	+	0.954953i	$0.404095\pi$
$72$	−1.76894	+	2.20700i	−0.208472	+	0.260097i
$73$	0.455716	+	3.16957i	0.0533375	+	0.370971i	0.998956	+	0.0456915i	$0.0145491\pi$
$73$	0.455716	+	3.16957i	0.0533375	+	0.370971i	−0.945618	+	0.325279i	$0.894542\pi$
$74$	10.5449	−	6.26908i	1.22581	−	0.728766i
$75$	4.93972	+	0.710225i	0.570390	+	0.0820097i
$76$	1.36495	−	0.748434i	0.156570	−	0.0858512i
$77$	−16.0705	−	10.3279i	−1.83140	−	1.17697i
$78$	7.68884	+	2.55159i	0.870590	+	0.288911i
$79$	11.4458	+	3.36080i	1.28776	+	0.378119i	0.852755	−	0.522311i	$-0.174930\pi$
$79$	11.4458	+	3.36080i	1.28776	+	0.378119i	0.435001	+	0.900430i	$0.356748\pi$
$80$	−0.160532	+	0.354810i	−0.0179480	+	0.0396689i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	−8.70772	−	1.56315i	−0.961607	−	0.172621i
$83$	−0.759844	+	1.66383i	−0.0834037	+	0.182629i	−0.946739	−	0.322002i	$-0.895644\pi$
$83$	−0.759844	+	1.66383i	−0.0834037	+	0.182629i	0.863335	+	0.504631i	$0.168371\pi$
$84$	2.52999	−	6.81973i	0.276045	−	0.744094i
$85$	0.541839	−	0.159098i	0.0587707	−	0.0172566i
$86$	0.284553	−	8.16840i	0.0306841	−	0.880822i
$87$	2.61147	−	1.19262i	0.279979	−	0.127862i
$88$	6.68491	+	13.2673i	0.712614	+	1.41430i
$89$	−1.64320	−	2.55687i	−0.174179	−	0.271028i	0.743178	−	0.669094i	$-0.233318\pi$
$89$	−1.64320	−	2.55687i	−0.174179	−	0.271028i	−0.917357	+	0.398066i	$0.869681\pi$
$90$	−0.113167	−	0.0784263i	−0.0119289	−	0.00826686i
$91$	−20.8339			−2.18398
$92$	−9.53483	−	1.04259i	−0.994075	−	0.108697i
$93$	0.735540			0.0762719
$94$	0.556474	+	0.385643i	0.0573959	+	0.0397760i
$95$	0.0409688	+	0.0637487i	0.00420331	+	0.00654047i
$96$	−4.38903	+	3.56881i	−0.447954	+	0.364240i
$97$	−8.28922	+	3.78556i	−0.841642	+	0.384365i	−0.789108	−	0.614254i	$-0.789457\pi$
$97$	−8.28922	+	3.78556i	−0.841642	+	0.384365i	−0.0525340	+	0.998619i	$0.516730\pi$
$98$	−0.306608	+	8.80153i	−0.0309721	+	0.889088i
$99$	−5.03973	+	1.47980i	−0.506512	+	0.148725i
$100$	9.35785	+	3.47159i	0.935785	+	0.347159i
$101$	−0.903466	+	1.97831i	−0.0898982	+	0.196850i	−0.949241	−	0.314551i	$-0.898146\pi$
$101$	−0.903466	+	1.97831i	−0.0898982	+	0.196850i	0.859342	+	0.511401i	$0.170873\pi$
$102$	8.07384	+	1.44936i	0.799429	+	0.143508i
$103$	−6.53269	−	7.53913i	−0.643685	−	0.742852i	0.336337	−	0.941742i	$-0.390812\pi$
$103$	−6.53269	−	7.53913i	−0.643685	−	0.742852i	−0.980022	+	0.198889i	$0.936267\pi$
$104$	13.9560	+	8.23082i	1.36850	+	0.807098i
$105$	0.339747	+	0.0997586i	0.0331559	+	0.00973544i
$106$	6.86960	+	2.27972i	0.667234	+	0.221426i
$107$	−2.41405	−	1.55142i	−0.233375	−	0.149981i	0.418727	−	0.908112i	$-0.362476\pi$
$107$	−2.41405	−	1.55142i	−0.233375	−	0.149981i	−0.652102	+	0.758131i	$0.726113\pi$
$108$	−0.961580	−	1.75367i	−0.0925280	−	0.168747i
$109$	−11.6019	−	1.66810i	−1.11126	−	0.159775i	−0.437854	−	0.899046i	$-0.644261\pi$
$109$	−11.6019	−	1.66810i	−1.11126	−	0.159775i	−0.673408	+	0.739271i	$0.735170\pi$
$110$	−0.621635	+	0.369572i	−0.0592706	+	0.0352373i
$111$	1.23452	+	8.58625i	0.117175	+	0.814971i
$112$	7.82209	−	12.2659i	0.739118	−	1.15902i
$113$	2.64833	+	2.29479i	0.249134	+	0.215876i	0.770471	−	0.637475i	$-0.220021\pi$
$113$	2.64833	+	2.29479i	0.249134	+	0.215876i	−0.521337	+	0.853351i	$0.674567\pi$
$114$	0.118624	+	1.09432i	0.0111102	+	0.102493i
$115$	0.0183307	−	0.466557i	0.00170935	−	0.0435067i
$116$	5.60844	−	1.23036i	0.520730	−	0.114236i
$117$	−3.75130	+	4.32923i	−0.346807	+	0.400237i
$118$	−9.86018	−	12.2138i	−0.907704	−	1.12437i
$119$	−20.8808	+	3.00220i	−1.91414	+	0.275211i
$120$	−0.188174	−	0.201049i	−0.0171779	−	0.0183532i
$121$	−2.36081	+	16.4198i	−0.214619	+	1.49271i
$122$	6.36385	+	15.3256i	0.576156	+	1.38752i
$123$	3.38209	−	5.26264i	0.304953	−	0.474516i
$124$	1.43801	+	0.310175i	0.129137	+	0.0278545i
$125$	−0.274032	+	0.933267i	−0.0245102	+	0.0834740i
$126$	3.76752	+	3.50151i	0.335637	+	0.311940i
$127$	10.1963	−	8.83513i	0.904773	−	0.783991i	−0.0721915	−	0.997391i	$-0.522999\pi$
$127$	10.1963	−	8.83513i	0.904773	−	0.783991i	0.976965	+	0.213400i	$0.0684538\pi$
$128$	−10.0857	+	5.12631i	−0.891457	+	0.453106i
$129$	5.25716	+	2.40087i	0.462867	+	0.211384i
$130$	−0.352426	+	0.705604i	−0.0309098	+	0.0618856i
$131$	−3.85607	−	13.1326i	−0.336906	−	1.14740i	−0.937541	−	0.347874i	$-0.886904\pi$
$131$	−3.85607	−	13.1326i	−0.336906	−	1.14740i	0.600635	−	0.799523i	$-0.294914\pi$
$132$	−10.4769	+	0.767820i	−0.911896	+	0.0668302i
$133$	−1.17595	−	2.57496i	−0.101967	−	0.223278i
$134$	4.39779	+	17.1674i	0.379911	+	1.48304i
$135$	0.0819036	−	0.0526363i	0.00704914	−	0.00453021i
$136$	15.1735	+	6.23827i	1.30111	+	0.534927i
$137$		−	5.45625i		−	0.466159i	−0.972458	−	0.233080i	$-0.925120\pi$
$137$		−	5.45625i		−	0.466159i	0.972458	−	0.233080i	$-0.0748803\pi$
$138$	3.26643	−	5.94394i	0.278057	−	0.505982i
$139$		−	1.08260i		−	0.0918253i	−0.998945	−	0.0459127i	$-0.985380\pi$
$139$		−	1.08260i		−	0.0918253i	0.998945	−	0.0459127i	$-0.0146196\pi$
$140$	0.622149	+	0.338302i	0.0525812	+	0.0285917i
$141$	−0.402741	+	0.258826i	−0.0339169	+	0.0217971i
$142$	−19.6157	+	5.02497i	−1.64612	+	0.421686i
$143$	12.4991	+	27.3693i	1.04523	+	2.28873i
$144$	−1.14041	−	3.83399i	−0.0950338	−	0.319499i
$145$	0.0787466	+	0.268186i	0.00653955	+	0.0222717i
$146$	−4.05132	−	2.02350i	−0.335290	−	0.167466i
$147$	−5.66464	−	2.58695i	−0.467211	−	0.213368i
$148$	−1.20727	+	17.3070i	−0.0992372	+	1.42263i
$149$	−0.554311	+	0.480313i	−0.0454109	+	0.0393488i	−0.677271	−	0.735734i	$-0.736837\pi$
$149$	−0.554311	+	0.480313i	−0.0454109	+	0.0393488i	0.631860	+	0.775083i	$0.282292\pi$
$150$	−4.80468	+	5.16969i	−0.392300	+	0.422103i
$151$	1.85403	−	6.31425i	0.150879	−	0.513847i	−0.849016	−	0.528368i	$-0.822804\pi$
$151$	1.85403	−	6.31425i	0.150879	−	0.513847i	0.999895	+	0.0145212i	$0.00462239\pi$
$152$	−0.229559	+	2.18947i	−0.0186197	+	0.177589i
$153$	−3.13589	+	4.87954i	−0.253522	+	0.394488i
$154$	24.9502	−	10.3604i	2.01055	−	0.834865i
$155$	−0.0101914	+	0.0708825i	−0.000818590	+	0.00569342i
$156$	−9.15955	+	6.88189i	−0.733351	+	0.550992i
$157$	−1.71435	+	0.246487i	−0.136820	+	0.0196718i	−0.210385	−	0.977619i	$-0.567472\pi$
$157$	−1.71435	+	0.246487i	−0.136820	+	0.0196718i	0.0735644	+	0.997290i	$0.476563\pi$
$158$	−13.1265	+	10.5971i	−1.04429	+	0.843057i
$159$	−3.35160	+	3.86795i	−0.265799	+	0.306748i
$160$	−0.283106	−	0.472411i	−0.0223815	−	0.0373473i
$161$	−3.15816	+	17.1539i	−0.248898	+	1.35192i
$162$	1.40598	−	0.152407i	0.110464	−	0.0119743i
$163$	3.00022	+	2.59971i	0.234996	+	0.203625i	0.764396	−	0.644747i	$-0.223037\pi$
$163$	3.00022	+	2.59971i	0.234996	+	0.203625i	−0.529400	+	0.848372i	$0.677583\pi$
$164$	8.83136	−	8.86244i	0.689613	−	0.692040i
$165$	−0.0727766	−	0.506172i	−0.00566565	−	0.0394055i
$166$	−1.32190	−	2.22350i	−0.102600	−	0.172577i
$167$	6.00629	+	0.863574i	0.464781	+	0.0668254i	0.370727	−	0.928742i	$-0.379108\pi$
$167$	6.00629	+	0.863574i	0.464781	+	0.0668254i	0.0940534	+	0.995567i	$0.470018\pi$
$168$	5.88906	+	8.43434i	0.454351	+	0.650724i
$169$	16.6690	+	10.7125i	1.28223	+	0.824038i
$170$	−0.251540	+	0.757978i	−0.0192922	+	0.0581343i
$171$	−0.746809	−	0.219283i	−0.0571099	−	0.0167690i
$172$	9.26551	+	6.91071i	0.706488	+	0.526937i
$173$	−7.66475	−	8.84560i	−0.582740	−	0.672518i	0.385451	−	0.922728i	$-0.374046\pi$
$173$	−7.66475	−	8.84560i	−0.582740	−	0.672518i	−0.968192	+	0.250210i	$0.919500\pi$
$174$	−0.717369	+	3.99619i	−0.0543836	+	0.302951i
$175$	7.53989	−	16.5101i	0.569962	−	1.24804i
$176$	−20.8065	−	2.91696i	−1.56835	−	0.219874i
$177$	10.6499	−	3.12710i	0.800498	−	0.235047i
$178$	4.29569	+	0.149644i	0.321976	+	0.0112163i
$179$	19.0720	−	8.70988i	1.42551	−	0.651007i	0.454651	−	0.890670i	$-0.349764\pi$
$179$	19.0720	−	8.70988i	1.42551	−	0.651007i	0.970856	+	0.239662i	$0.0770367\pi$
$180$	0.182321	−	0.0683673i	0.0135894	−	0.00509580i
$181$	−6.91867	−	10.7657i	−0.514261	−	0.800206i	0.482887	−	0.875683i	$-0.339588\pi$
$181$	−6.91867	−	10.7657i	−0.514261	−	0.800206i	−0.997148	+	0.0754773i	$0.975952\pi$
$182$	16.7824	−	24.2167i	1.24400	−	1.79506i
$183$	−11.7340			−0.867401
$184$	8.89254	−	10.2432i	0.655567	−	0.755137i
$185$	−0.844545			−0.0620922
$186$	−0.592505	+	0.854971i	−0.0434446	+	0.0626895i
$187$	16.4712	+	25.6298i	1.20450	+	1.87423i
$188$	−0.896521	+	0.336180i	−0.0653855	+	0.0245184i
$189$	−3.30828	+	1.51084i	−0.240642	+	0.109898i
$190$	−0.107102	−	0.00373097i	−0.00776996	−	0.000270673i
$191$	−8.42805	+	2.47470i	−0.609833	+	0.179063i	−0.572044	−	0.820223i	$-0.693849\pi$
$191$	−8.42805	+	2.47470i	−0.609833	+	0.179063i	−0.0377883	+	0.999286i	$0.512031\pi$
$192$	−0.612753	−	7.97650i	−0.0442216	−	0.575654i
$193$	7.03201	−	15.3979i	0.506175	−	1.10837i	−0.468238	−	0.883602i	$-0.655111\pi$
$193$	7.03201	−	15.3979i	0.506175	−	1.10837i	0.974413	−	0.224766i	$-0.0721617\pi$
$194$	2.27705	−	12.6846i	0.163482	−	0.910699i
$195$	−0.365223	−	0.421489i	−0.0261541	−	0.0301835i
$196$	−9.98367	−	7.44635i	−0.713119	−	0.531882i
$197$	−1.90588	−	0.559617i	−0.135788	−	0.0398710i	0.213132	−	0.977023i	$-0.431633\pi$
$197$	−1.90588	−	0.559617i	−0.135788	−	0.0398710i	−0.348920	+	0.937152i	$0.613452\pi$
$198$	2.33961	−	7.05007i	0.166269	−	0.501027i
$199$	−9.96213	−	6.40227i	−0.706196	−	0.453845i	0.137614	−	0.990486i	$-0.456057\pi$
$199$	−9.96213	−	6.40227i	−0.706196	−	0.453845i	−0.843811	+	0.536641i	$0.819693\pi$
$200$	−11.5734	+	8.08081i	−0.818361	+	0.571400i
$201$	−12.4036	−	1.78337i	−0.874885	−	0.125789i
$202$	−1.57176	−	2.64377i	−0.110589	−	0.186015i
$203$	−1.48596	−	10.3351i	−0.104294	−	0.725379i
$204$	−8.18847	+	8.21729i	−0.573308	+	0.575325i
$205$	0.460289	+	0.398843i	0.0321480	+	0.0278564i
$206$	14.0256	−	1.52037i	0.977210	−	0.105929i
$207$	2.99589	+	3.74495i	0.208229	+	0.260292i
$208$	−20.8093	+	9.59179i	−1.44287	+	0.665071i
$209$	−2.67721	+	3.08966i	−0.185186	+	0.213717i
$210$	−0.389635	+	0.314553i	−0.0268874	+	0.0217062i
$211$	−9.84853	+	1.41600i	−0.678000	+	0.0974817i	−0.472708	−	0.881219i	$-0.656724\pi$
$211$	−9.84853	+	1.41600i	−0.678000	+	0.0974817i	−0.205292	+	0.978701i	$0.565814\pi$
$212$	−8.18360	+	6.14863i	−0.562052	+	0.422290i
$213$	2.03771	−	14.1726i	0.139621	−	0.971088i
$214$	3.74793	−	1.55630i	0.256203	−	0.106387i
$215$	−0.304208	+	0.473357i	−0.0207468	+	0.0322827i
$216$	2.81301	+	0.294935i	0.191401	+	0.0200678i
$217$	0.753668	−	2.56676i	0.0511623	−	0.174243i
$218$	11.2847	−	12.1420i	0.764299	−	0.822362i
$219$	2.42004	−	2.09697i	0.163531	−	0.141700i
$220$	0.0711705	−	1.02028i	0.00479832	−	0.0687870i
$221$	30.2239	+	13.8028i	2.03308	+	0.928476i
$222$	−10.9749	−	5.48158i	−0.736585	−	0.367899i
$223$	−4.84938	−	16.5155i	−0.324738	−	1.10596i	−0.946487	−	0.322741i	$-0.895396\pi$
$223$	−4.84938	−	16.5155i	−0.324738	−	1.10596i	0.621749	−	0.783217i	$-0.286422\pi$
$224$	7.95660	+	18.9729i	0.531623	+	1.26768i
$225$	−2.07314	−	4.53954i	−0.138209	−	0.302636i
$226$	−4.80073	+	1.22981i	−0.319340	+	0.0818055i
$227$	9.02911	−	5.80266i	0.599283	−	0.385136i	−0.205542	−	0.978648i	$-0.565896\pi$
$227$	9.02911	−	5.80266i	0.599283	−	0.385136i	0.804825	+	0.593512i	$0.202259\pi$
$228$	−1.36757	−	0.743634i	−0.0905695	−	0.0492484i
$229$			6.70293i			0.442942i	0.975167	+	0.221471i	$0.0710858\pi$
$229$			6.70293i			0.442942i	−0.975167	+	0.221471i	$0.928914\pi$
$230$	0.527547	+	0.397137i	0.0347854	+	0.0261864i
$231$			19.1030i			1.25689i
$232$	−3.08767	+	7.51020i	−0.202715	+	0.493069i
$233$	6.42873	−	4.13149i	0.421160	−	0.270663i	−0.312849	−	0.949803i	$-0.601283\pi$
$233$	6.42873	−	4.13149i	0.421160	−	0.270663i	0.734009	+	0.679140i	$0.237647\pi$
$234$	−2.01036	−	7.84776i	−0.131422	−	0.513024i
$235$	−0.0193623	−	0.0423976i	−0.00126306	−	0.00276571i
$236$	22.1397	−	1.62255i	1.44117	−	0.105619i
$237$	−3.36080	−	11.4458i	−0.218307	−	0.743486i
$238$	13.3306	−	26.6896i	0.864092	−	1.73003i
$239$	−6.94118	−	3.16993i	−0.448987	−	0.205046i	0.178071	−	0.984018i	$-0.443014\pi$
$239$	−6.94118	−	3.16993i	−0.448987	−	0.205046i	−0.627059	+	0.778972i	$0.715741\pi$
$240$	0.385275	−	0.0567763i	0.0248694	−	0.00366490i
$241$	−3.34344	+	2.89711i	−0.215370	+	0.186619i	−0.755864	−	0.654729i	$-0.772783\pi$
$241$	−3.34344	+	2.89711i	−0.215370	+	0.186619i	0.540494	+	0.841348i	$0.318237\pi$
$242$	−17.1842	−	15.9709i	−1.10464	−	1.02665i
$243$	−0.281733	+	0.959493i	−0.0180732	+	0.0615515i
$244$	−22.9404	−	4.94819i	−1.46861	−	0.316775i
$245$	0.327787	−	0.510046i	0.0209415	−	0.0325856i
$246$	3.39274	+	8.17051i	0.216313	+	0.520932i
$247$	−0.634528	+	4.41324i	−0.0403740	+	0.280808i
$248$	−1.51891	+	1.42164i	−0.0964508	+	0.0902744i
$249$	1.81050	−	0.260311i	0.114736	−	0.0164965i
$250$	−0.864061	−	1.07031i	−0.0546480	−	0.0676923i
$251$	−5.00770	+	5.77919i	−0.316083	+	0.364779i	−0.891452	−	0.453114i	$-0.850313\pi$
$251$	−5.00770	+	5.77919i	−0.316083	+	0.364779i	0.575369	+	0.817894i	$0.304858\pi$
$252$	−7.10494	+	1.55866i	−0.447569	+	0.0981863i
$253$	24.4297	−	6.14251i	1.53588	−	0.386176i
$254$	2.05622	+	18.9689i	0.129019	+	1.19021i
$255$	−0.426782	−	0.369809i	−0.0267261	−	0.0231583i
$256$	2.16571	−	15.8528i	0.135357	−	0.990797i
$257$	−1.78805	−	12.4362i	−0.111535	−	0.775746i	−0.966427	−	0.256940i	$-0.917286\pi$
$257$	−1.78805	−	12.4362i	−0.111535	−	0.775746i	0.854892	−	0.518806i	$-0.173623\pi$
$258$	−7.02554	+	4.17679i	−0.437391	+	0.260036i
$259$	31.2277	+	4.48987i	1.94040	+	0.278987i
$260$	−0.536283	−	0.978041i	−0.0332588	−	0.0606555i
$261$	−2.41516	−	1.55213i	−0.149495	−	0.0960743i
$262$	18.3711	+	6.09658i	1.13497	+	0.376648i
$263$	3.18779	+	0.936020i	0.196568	+	0.0577174i	0.378534	−	0.925587i	$-0.376428\pi$
$263$	3.18779	+	0.936020i	0.196568	+	0.0577174i	−0.181967	+	0.983305i	$0.558246\pi$
$264$	7.54703	−	12.7965i	0.464488	−	0.787573i
$265$	−0.326308	−	0.376580i	−0.0200450	−	0.0231331i
$266$	3.94033	+	0.707342i	0.241597	+	0.0433699i
$267$	−1.26259	+	2.76470i	−0.0772695	+	0.169197i
$268$	−23.4975	−	8.71714i	−1.43534	−	0.532484i
$269$	−24.9645	+	7.33025i	−1.52212	+	0.446933i	−0.932626	−	0.360843i	$-0.882489\pi$
$269$	−24.9645	+	7.33025i	−1.52212	+	0.446933i	−0.589489	+	0.807777i	$0.700671\pi$
$270$	−0.00479351	+	0.137603i	−0.000291723	+	0.00837425i
$271$	−10.4555	+	4.77486i	−0.635125	+	0.290052i	−0.706840	−	0.707373i	$-0.749880\pi$
$271$	−10.4555	+	4.77486i	−0.635125	+	0.290052i	0.0717149	+	0.997425i	$0.477153\pi$
$272$	−19.4740	+	12.6121i	−1.18078	+	0.764718i
$273$	11.2636	+	17.5266i	0.681706	+	1.06076i
$274$	6.34220	+	4.39522i	0.383146	+	0.265525i
$275$	−26.2127			−1.58068
$276$	4.27784	+	8.58488i	0.257496	+	0.516749i
$277$	−25.4612			−1.52981			−0.764907	−	0.644140i	$-0.777215\pi$
$277$	−25.4612			−1.52981			−0.764907	+	0.644140i	$0.777215\pi$
$278$	1.25839	+	0.872078i	0.0754732	+	0.0523038i
$279$	−0.397663	−	0.618775i	−0.0238074	−	0.0370451i
$280$	−0.894398	+	0.450654i	−0.0534505	+	0.0269317i
$281$	15.2849	−	6.98038i	0.911821	−	0.416415i	0.0964395	−	0.995339i	$-0.469255\pi$
$281$	15.2849	−	6.98038i	0.911821	−	0.416415i	0.815381	+	0.578924i	$0.196527\pi$
$282$	0.0235709	−	0.676630i	0.00140363	−	0.0402927i
$283$	−12.2557	+	3.59859i	−0.728524	+	0.213914i	−0.624903	−	0.780703i	$-0.714861\pi$
$283$	−12.2557	+	3.59859i	−0.728524	+	0.213914i	−0.103622	+	0.994617i	$0.533043\pi$
$284$	9.96033	−	26.8486i	0.591037	−	1.59317i
$285$	0.0314794	−	0.0689303i	0.00186468	−	0.00408308i
$286$	−41.8818	−	7.51834i	−2.47652	−	0.444569i
$287$	−14.8992	−	17.1946i	−0.879472	−	1.01496i
$288$	5.37516	+	1.76285i	0.316734	+	0.103877i
$289$	15.9695	+	4.68908i	0.939385	+	0.275828i
$290$	−0.375166	−	0.124501i	−0.0220305	−	0.00731097i
$291$	7.66610	+	4.92671i	0.449395	+	0.288809i
$292$	5.61555	−	3.07914i	0.328625	−	0.180193i
$293$	17.4826	+	2.51362i	1.02134	+	0.146847i	0.632584	−	0.774492i	$-0.281994\pi$
$293$	17.4826	+	2.51362i	1.02134	+	0.146847i	0.388761	+	0.921339i	$0.372903\pi$
$294$	7.57008	−	4.50053i	0.441496	−	0.262476i
$295$	0.153791	+	1.06964i	0.00895406	+	0.0622769i
$296$	−19.1447	−	15.3448i	−1.11276	−	0.891896i
$297$	3.96957	+	3.43965i	0.230338	+	0.199589i
$298$	−0.111784	−	1.03123i	−0.00647550	−	0.0597373i
$299$	18.7918	−	20.0399i	1.08676	−	1.15894i
$300$	−2.13875	−	9.74920i	−0.123481	−	0.562870i
$301$	13.7649	−	15.8855i	0.793393	−	0.915625i
$302$	5.84602	+	7.24144i	0.336401	+	0.416698i
$303$	2.15271	−	0.309514i	0.123670	−	0.0177811i
$304$	−2.36006	−	2.03053i	−0.135359	−	0.116459i
$305$	0.162582	−	1.13078i	0.00930940	−	0.0647483i
$306$	−3.14577	−	7.57573i	−0.179831	−	0.433075i
$307$	−15.6536	+	24.3574i	−0.893397	+	1.39015i	0.0271969	+	0.999630i	$0.491342\pi$
$307$	−15.6536	+	24.3574i	−0.893397	+	1.39015i	−0.920594	+	0.390522i	$0.872294\pi$
$308$	−8.05570	+	37.3472i	−0.459016	+	2.12805i
$309$	−2.81048	+	9.57161i	−0.159883	+	0.544510i
$310$	−0.0741823	−	0.0689447i	−0.00421327	−	0.00391579i
$311$	9.61906	−	8.33496i	0.545447	−	0.472632i	−0.338012	−	0.941142i	$-0.609754\pi$
$311$	9.61906	−	8.33496i	0.545447	−	0.472632i	0.883458	+	0.468510i	$0.155209\pi$
$312$	−0.620958	−	16.1904i	−0.0351548	−	0.916602i
$313$	7.42058	+	3.38886i	0.419436	+	0.191550i	0.613942	−	0.789351i	$-0.289583\pi$
$313$	7.42058	+	3.38886i	0.419436	+	0.191550i	−0.194506	+	0.980901i	$0.562310\pi$
$314$	1.09447	−	2.19127i	0.0617643	−	0.123661i
$315$	−0.0997586	−	0.339747i	−0.00562076	−	0.0191426i
$316$	−1.74381	−	23.7943i	−0.0980970	−	1.33853i
$317$	−6.23852	−	13.6605i	−0.350390	−	0.767248i	−0.999976	−	0.00695926i	$-0.997785\pi$
$317$	−6.23852	−	13.6605i	−0.350390	−	0.767248i	0.649585	−	0.760289i	$-0.274942\pi$
$318$	−1.79616	−	7.01158i	−0.100724	−	0.393190i
$319$	−12.6856	+	8.15254i	−0.710257	+	0.456455i
$320$	0.777170	+	0.0514696i	0.0434451	+	0.00287724i
$321$			2.86959i			0.160165i
$322$	−17.3952	−	17.4891i	−0.969396	−	0.974627i
$323$			4.51461i			0.251200i
$324$	−0.955413	+	1.75704i	−0.0530785	+	0.0976133i
$325$	−24.0495	+	15.4556i	−1.33402	+	0.857325i
$326$	−5.43862	+	1.39321i	−0.301217	+	0.0771630i
$327$	4.86917	+	10.6620i	0.269266	+	0.589610i
$328$	3.18746	+	17.4044i	0.175998	+	0.960995i
$329$	0.490539	+	1.67062i	0.0270443	+	0.0921044i
$330$	0.646985	+	0.323147i	0.0356153	+	0.0177887i
$331$	28.1906	+	12.8742i	1.54949	+	0.707630i	0.992427	−	0.122838i	$-0.0391995\pi$
$331$	28.1906	+	12.8742i	1.54949	+	0.707630i	0.557067	+	0.830468i	$0.311927\pi$
$332$	3.64937	+	0.254566i	0.200285	+	0.0139711i
$333$	6.55578	−	5.68062i	0.359255	−	0.311296i
$334$	−5.84209	+	6.28590i	−0.319665	+	0.343949i
$335$	0.343720	−	1.17060i	0.0187794	−	0.0639569i
$336$	−14.5477	+	0.0511049i	−0.793642	+	0.00278800i
$337$	−7.64389	+	11.8941i	−0.416389	+	0.647914i	−0.984570	−	0.174989i	$-0.944011\pi$
$337$	−7.64389	+	11.8941i	−0.416389	+	0.647914i	0.568181	+	0.822903i	$0.307647\pi$
$338$	−25.8794	+	10.7462i	−1.40765	+	0.584518i
$339$	0.498706	−	3.46858i	0.0270860	−	0.188387i
$340$	−0.678428	−	0.902963i	−0.0367929	−	0.0489700i
$341$	−3.82409	+	0.549821i	−0.207086	+	0.0297745i
$342$	0.856471	−	0.691430i	0.0463127	−	0.0373882i
$343$	1.84011	−	2.12360i	0.0993567	−	0.114664i
$344$	−15.4965	+	5.20313i	−0.835517	+	0.280534i
$345$	−0.402403	+	0.236819i	−0.0216647	+	0.0127499i
$346$	16.4561	−	1.78384i	0.884686	−	0.0958997i
$347$	−11.0987	−	9.61710i	−0.595811	−	0.516273i	0.303932	−	0.952694i	$-0.401700\pi$
$347$	−11.0987	−	9.61710i	−0.595811	−	0.516273i	−0.899743	+	0.436421i	$0.856246\pi$
$348$	−4.06720	−	4.05293i	−0.218025	−	0.217260i
$349$	−0.842096	−	5.85690i	−0.0450764	−	0.313513i	−0.999868	−	0.0162376i	$-0.994831\pi$
$349$	−0.842096	−	5.85690i	−0.0450764	−	0.313513i	0.954792	−	0.297275i	$-0.0960779\pi$
$350$	13.1172	+	22.0636i	0.701142	+	1.17935i
$351$	5.67008	+	0.815235i	0.302647	+	0.0435140i
$352$	20.1510	−	21.8352i	1.07405	−	1.16382i
$353$	30.4206	+	19.5502i	1.61913	+	1.04055i	0.956555	+	0.291551i	$0.0941714\pi$
$353$	30.4206	+	19.5502i	1.61913	+	1.04055i	0.662572	+	0.748998i	$0.269465\pi$
$354$	−4.94406	+	14.8982i	−0.262774	+	0.791829i
$355$	1.33755	+	0.392740i	0.0709897	+	0.0208445i
$356$	−3.63428	+	4.87265i	−0.192617	+	0.258250i
$357$	13.8146	+	15.9429i	0.731146	+	0.843787i
$358$	−5.23907	+	29.1849i	−0.276894	+	1.54247i
$359$	−4.01300	+	8.78724i	−0.211798	+	0.463773i	−0.985478	−	0.169804i	$-0.945687\pi$
$359$	−4.01300	+	8.78724i	−0.211798	+	0.463773i	0.773680	+	0.633577i	$0.218414\pi$
$360$	−0.0673983	+	0.266998i	−0.00355220	+	0.0140720i
$361$	17.6491	−	5.18224i	0.928900	−	0.272750i
$362$	18.0870	+	0.630073i	0.950630	+	0.0331159i
$363$	15.0896	−	6.89118i	0.791998	−	0.361693i
$364$	14.6299	+	39.0149i	0.766816	+	2.04494i
$365$	0.168550	+	0.262269i	0.00882231	+	0.0137278i
$366$	9.45216	−	13.6393i	0.494072	−	0.712935i
$367$	2.19791			0.114730			0.0573650	−	0.998353i	$-0.481730\pi$
$367$	2.19791			0.114730			0.0573650	+	0.998353i	$0.481730\pi$
$368$	4.74312	+	18.5877i	0.247252	+	0.968951i
$369$	−6.25571			−0.325659
$370$	0.680313	−	0.981676i	0.0353678	−	0.0510349i
$371$	10.0635	+	15.6591i	0.522471	+	0.812980i
$372$	−0.516510	−	1.37742i	−0.0267798	−	0.0714160i
$373$	−3.84137	+	1.75429i	−0.198899	+	0.0908339i	−0.512374	−	0.858762i	$-0.671234\pi$
$373$	−3.84137	+	1.75429i	−0.198899	+	0.0908339i	0.313476	+	0.949596i	$0.398507\pi$
$374$	−43.0595	−	1.50001i	−2.22655	−	0.0775637i
$375$	0.933267	−	0.274032i	0.0481937	−	0.0141510i
$376$	0.331415	−	1.31290i	0.0170914	−	0.0677075i
$377$	−6.83177	+	14.9595i	−0.351854	+	0.770453i
$378$	0.908785	−	5.06250i	0.0467429	−	0.260387i
$379$	−19.6603	−	22.6892i	−1.00988	−	1.16547i	−0.986168	−	0.165747i	$-0.946997\pi$
$379$	−19.6603	−	22.6892i	−1.00988	−	1.16547i	−0.0237132	−	0.999719i	$-0.507549\pi$
$380$	0.0906111	−	0.121486i	0.00464825	−	0.00623212i
$381$	−12.9451	−	3.80103i	−0.663198	−	0.194732i
$382$	3.91259	−	11.7900i	0.200186	−	0.603229i
$383$	−7.00827	−	4.50394i	−0.358106	−	0.230141i	0.349200	−	0.937048i	$-0.386453\pi$
$383$	−7.00827	−	4.50394i	−0.358106	−	0.230141i	−0.707306	+	0.706908i	$0.750090\pi$
$384$	9.76526	+	5.71312i	0.498331	+	0.291547i
$385$	−1.84092	−	0.264685i	−0.0938221	−	0.0134896i
$386$	12.2336	+	20.5774i	0.622674	+	1.04736i
$387$	−0.822500	−	5.72061i	−0.0418100	−	0.290795i
$388$	12.9099	+	12.8647i	0.655403	+	0.653105i
$389$	−4.85654	−	4.20822i	−0.246237	−	0.213365i	0.522994	−	0.852336i	$-0.324815\pi$
$389$	−4.85654	−	4.20822i	−0.246237	−	0.213365i	−0.769231	+	0.638971i	$0.779360\pi$
$390$	0.784128	−	0.0849991i	0.0397059	−	0.00430410i
$391$	15.9463	−	22.7930i	0.806440	−	1.15269i
$392$	16.6977	−	5.60642i	0.843359	−	0.283167i
$393$	−8.96306	+	10.3439i	−0.452127	+	0.521782i
$394$	2.18574	−	1.76455i	0.110116	−	0.0888967i
$395$	1.14958	−	0.165284i	0.0578415	−	0.00831635i
$396$	6.31016	+	8.39860i	0.317098	+	0.422046i
$397$	−0.0820614	+	0.570750i	−0.00411855	+	0.0286451i	−0.991777	−	0.127977i	$-0.959152\pi$
$397$	−0.0820614	+	0.570750i	−0.00411855	+	0.0286451i	0.987659	+	0.156622i	$0.0500606\pi$
$398$	15.4667	−	6.42243i	0.775275	−	0.321927i
$399$	−1.53043	+	2.38140i	−0.0766174	+	0.119219i
$400$	−0.0701248	−	19.9620i	−0.00350624	−	0.998098i
$401$	7.64253	−	26.0281i	0.381650	−	1.29978i	−0.515057	−	0.857156i	$-0.672229\pi$
$401$	7.64253	−	26.0281i	0.381650	−	1.29978i	0.896707	−	0.442624i	$-0.145953\pi$
$402$	12.0645	−	12.9811i	0.601724	−	0.647437i
$403$	−3.18432	+	2.75923i	−0.158622	+	0.137447i
$404$	4.33916	+	0.302683i	0.215881	+	0.0150591i
$405$	−0.0885609	−	0.0404444i	−0.00440063	−	0.00200970i
$406$	13.2102	+	6.59804i	0.655610	+	0.327455i
$407$	−12.8366	−	43.7173i	−0.636285	−	2.16699i
$408$	−2.95543	−	16.1374i	−0.146315	−	0.798920i
$409$	4.65622	+	10.1957i	0.230235	+	0.504145i	0.989126	−	0.147074i	$-0.0469854\pi$
$409$	4.65622	+	10.1957i	0.230235	+	0.504145i	−0.758890	+	0.651218i	$0.774258\pi$
$410$	−0.834384	+	0.213745i	−0.0412073	+	0.0105561i
$411$	−4.59009	+	2.94987i	−0.226413	+	0.145507i
$412$	−9.53091	+	17.5277i	−0.469554	+	0.863527i
$413$		−	40.3684i		−	1.98640i
$414$	−6.76633	+	0.465640i	−0.332547	+	0.0228850i
$415$			0.178081i			0.00874167i
$416$	5.61346	−	31.9147i	0.275223	−	1.56475i
$417$	−0.910745	+	0.585300i	−0.0445994	+	0.0286623i
$418$	−1.43475	−	5.60075i	−0.0701758	−	0.273942i
$419$	−9.64510	−	21.1198i	−0.471194	−	1.03177i	−0.984792	−	0.173740i	$-0.944415\pi$
$419$	−9.64510	−	21.1198i	−0.471194	−	1.03177i	0.513597	−	0.858031i	$-0.328313\pi$
$420$	−0.0517616	−	0.706285i	−0.00252571	−	0.0344632i
$421$	1.53871	+	5.24037i	0.0749923	+	0.255400i	0.988453	−	0.151526i	$-0.0484188\pi$
$421$	1.53871	+	5.24037i	0.0749923	+	0.255400i	−0.913461	+	0.406926i	$0.866601\pi$
$422$	6.28743	−	12.5883i	0.306067	−	0.612789i
$423$	0.435477	+	0.198876i	0.0211736	+	0.00966966i
$424$	−0.554795	−	14.4653i	−0.0269432	−	0.702499i
$425$	−21.8764	+	18.9560i	−1.06116	+	0.919502i
$426$	14.8323	+	13.7851i	0.718629	+	0.667891i
$427$	−12.0232	+	40.9472i	−0.581843	+	1.98157i
$428$	−1.21010	+	5.61015i	−0.0584922	+	0.271177i
$429$	16.2670	−	25.3119i	0.785377	−	1.22207i
$430$	−0.305166	−	0.734910i	−0.0147164	−	0.0354405i
$431$	−0.292186	+	2.03220i	−0.0140741	+	0.0978874i	−0.995648	−	0.0931970i	$-0.970291\pi$
$431$	−0.292186	+	2.03220i	−0.0140741	+	0.0978874i	0.981574	+	0.191084i	$0.0612004\pi$
$432$	−2.60881	+	3.03218i	−0.125516	+	0.145886i
$433$	26.6217	−	3.82762i	1.27936	−	0.183944i	0.531076	−	0.847324i	$-0.321788\pi$
$433$	26.6217	−	3.82762i	1.27936	−	0.183944i	0.748282	+	0.663381i	$0.230879\pi$
$434$	2.37642	+	2.94366i	0.114072	+	0.141300i
$435$	0.183039	−	0.211238i	0.00877605	−	0.0101281i
$436$	5.02328	+	22.8979i	0.240571	+	1.09661i
$437$	3.53752	+	1.19144i	0.169223	+	0.0569944i
$438$	0.488034	+	4.50217i	0.0233192	+	0.215122i
$439$	22.2679	+	19.2952i	1.06279	+	0.920911i	0.997037	−	0.0769246i	$-0.0245101\pi$
$439$	22.2679	+	19.2952i	1.06279	+	0.920911i	0.0657515	+	0.997836i	$0.479056\pi$
$440$	1.12861	+	0.904597i	0.0538043	+	0.0431250i
$441$	0.886251	+	6.16401i	0.0422024	+	0.293524i
$442$	−40.3904	+	24.0127i	−1.92118	+	1.14217i
$443$	8.33907	+	1.19898i	0.396201	+	0.0569651i	0.337536	−	0.941313i	$-0.390406\pi$
$443$	8.33907	+	1.19898i	0.396201	+	0.0569651i	0.0586651	+	0.998278i	$0.481316\pi$
$444$	15.2123	−	8.34126i	0.721944	−	0.395859i
$445$	−0.248934	−	0.159980i	−0.0118006	−	0.00758380i
$446$	23.1035	+	7.66704i	1.09398	+	0.363045i
$447$	0.703748	+	0.206639i	0.0332861	+	0.00977369i
$448$	−28.4629	−	6.03482i	−1.34474	−	0.285118i
$449$	20.8376	+	24.0478i	0.983386	+	1.13489i	0.990857	+	0.134916i	$0.0430763\pi$
$449$	20.8376	+	24.0478i	0.983386	+	1.13489i	−0.00747141	+	0.999972i	$0.502378\pi$
$450$	6.94662	+	1.24701i	0.327467	+	0.0587846i
$451$	−13.6497	+	29.8888i	−0.642741	+	1.40741i
$452$	2.43768	−	6.57089i	0.114659	−	0.309069i
$453$	−6.31425	+	1.85403i	−0.296670	+	0.0871100i
$454$	−0.528439	+	15.1694i	−0.0248009	+	0.711938i
$455$	−1.84506	+	0.842613i	−0.0864979	+	0.0395023i
$456$	1.96601	−	0.990600i	0.0920668	−	0.0463891i
$457$	−6.05988	−	9.42937i	−0.283469	−	0.441087i	0.670095	−	0.742275i	$-0.266253\pi$
$457$	−6.05988	−	9.42937i	−0.283469	−	0.441087i	−0.953565	+	0.301188i	$0.902617\pi$
$458$	−7.79130	−	5.39946i	−0.364063	−	0.252300i
$459$	5.80032			0.270736
$460$	−0.886580	+	0.293298i	−0.0413370	+	0.0136751i
$461$	29.1288			1.35666			0.678332	−	0.734756i	$-0.262703\pi$
$461$	29.1288			1.35666			0.678332	+	0.734756i	$0.262703\pi$
$462$	−22.2048	−	15.3882i	−1.03306	−	0.715925i
$463$	19.3180	+	30.0594i	0.897783	+	1.39698i	0.917742	+	0.397177i	$0.130010\pi$
$463$	19.3180	+	30.0594i	0.897783	+	1.39698i	−0.0199590	+	0.999801i	$0.506354\pi$
$464$	−6.24241	−	9.63876i	−0.289797	−	0.447468i
$465$	0.0651400	−	0.0297485i	0.00302080	−	0.00137955i
$466$	−0.376249	+	10.8007i	−0.0174294	+	0.500331i
$467$	−24.3751	+	7.15718i	−1.12795	+	0.331195i	−0.791900	−	0.610651i	$-0.790908\pi$
$467$	−24.3751	+	7.15718i	−1.12795	+	0.331195i	−0.336046	+	0.941846i	$0.609090\pi$
$468$	10.7414	+	3.98487i	0.496523	+	0.184201i
$469$	−18.9326	+	41.4567i	−0.874228	+	1.91429i
$470$	0.0648789	+	0.0116466i	0.00299264	+	0.000537218i
$471$	1.13421	+	1.30895i	0.0522615	+	0.0603130i
$472$	−15.9483	+	27.0416i	−0.734082	+	1.24469i
$473$	−29.1268	−	8.55240i	−1.33925	−	0.393240i
$474$	16.0116	+	5.31354i	0.735435	+	0.244059i
$475$	−3.26769	−	2.10002i	−0.149932	−	0.0963554i
$476$	20.2850	+	36.9945i	0.929760	+	1.69564i
$477$	5.06594	+	0.728372i	0.231953	+	0.0333499i
$478$	9.27602	−	5.51474i	0.424275	−	0.252238i
$479$	−2.20516	−	15.3372i	−0.100756	−	0.700774i	−0.976108	−	0.217287i	$-0.930279\pi$
$479$	−2.20516	−	15.3372i	−0.100756	−	0.700774i	0.875352	−	0.483487i	$-0.160630\pi$
$480$	−0.244358	+	0.493569i	−0.0111534	+	0.0225282i
$481$	−37.5541	−	32.5408i	−1.71232	−	1.48373i
$482$	−0.674251	−	6.22005i	−0.0307113	−	0.283316i
$483$	16.1382	−	6.61728i	0.734314	−	0.301097i
$484$	32.4067	−	7.10928i	1.47303	−	0.323149i
$485$	−0.580996	+	0.670505i	−0.0263817	+	0.0304461i
$486$	−0.888342	−	1.10039i	−0.0402960	−	0.0499145i
$487$	−3.47857	+	0.500143i	−0.157629	+	0.0226636i	−0.220677	−	0.975347i	$-0.570827\pi$
$487$	−3.47857	+	0.500143i	−0.157629	+	0.0226636i	0.0630485	+	0.998010i	$0.479918\pi$
$488$	24.2310	−	22.6793i	1.09688	−	1.02664i
$489$	0.564971	−	3.92946i	0.0255489	−	0.177696i
$490$	0.328819	+	0.791871i	0.0148545	+	0.0357731i
$491$	16.2093	−	25.2222i	0.731517	−	1.13826i	−0.253755	−	0.967268i	$-0.581666\pi$
$491$	16.2093	−	25.2222i	0.731517	−	1.13826i	0.985272	−	0.170994i	$-0.0546979\pi$
$492$	−12.2302	−	2.63802i	−0.551378	−	0.118931i
$493$	−4.69146	+	15.9776i	−0.211293	+	0.719597i
$494$	−4.61869	−	4.29259i	−0.207805	−	0.193133i
$495$	−0.386473	+	0.334881i	−0.0173707	+	0.0150518i
$496$	−0.428941	−	2.91072i	−0.0192600	−	0.130695i
$497$	−47.3690	−	21.6327i	−2.12479	−	0.970360i
$498$	−1.15585	+	2.31417i	−0.0517948	+	0.103700i
$499$	1.34010	+	4.56397i	0.0599912	+	0.204311i	0.984035	−	0.177976i	$-0.0569548\pi$
$499$	1.34010	+	4.56397i	0.0599912	+	0.204311i	−0.924044	+	0.382287i	$0.875137\pi$
$500$	1.94013	−	0.142187i	0.0867653	−	0.00635878i
$501$	−2.52076	−	5.51970i	−0.112619	−	0.246602i
$502$	−2.68368	−	10.4762i	−0.119779	−	0.467574i
$503$	−6.20959	+	3.99066i	−0.276872	+	0.177935i	−0.671706	−	0.740818i	$-0.734438\pi$
$503$	−6.20959	+	3.99066i	−0.276872	+	0.177935i	0.394834	+	0.918752i	$0.370802\pi$
$504$	3.91155	−	9.51414i	0.174234	−	0.423794i
$505$			0.211741i			0.00942237i
$506$	−12.5391	+	33.3444i	−0.557432	+	1.48234i
$507$		−	19.8144i		−	0.879990i
$508$	−23.7053	−	12.8901i	−1.05175	−	0.571904i
$509$	−22.0296	+	14.1576i	−0.976446	+	0.627524i	−0.928502	−	0.371326i	$-0.878903\pi$
$509$	−22.0296	+	14.1576i	−0.976446	+	0.627524i	−0.0479436	+	0.998850i	$0.515267\pi$
$510$	0.773644	−	0.198185i	0.0342576	−	0.00877577i
$511$	−4.83797	−	10.5937i	−0.214019	−	0.468637i
$512$	16.6822	+	15.2873i	0.737258	+	0.675612i
$513$	0.219283	+	0.746809i	0.00968158	+	0.0329724i
$514$	15.8958	+	7.93941i	0.701133	+	0.350192i
$515$	−0.883456	−	0.403461i	−0.0389297	−	0.0177786i
$516$	0.804349	−	11.5309i	0.0354095	−	0.507618i
$517$	1.90039	−	1.64670i	0.0835790	−	0.0724216i
$518$	−30.3740	+	32.6815i	−1.33456	+	1.43594i
$519$	−3.29751	+	11.2303i	−0.144745	+	0.492955i
$520$	1.56884	+	0.164488i	0.0687983	+	0.00721328i
$521$	−12.7684	+	19.8680i	−0.559392	+	0.870431i	−0.999623	−	0.0274535i	$-0.991260\pi$
$521$	−12.7684	+	19.8680i	−0.559392	+	0.870431i	0.440231	+	0.897885i	$0.354897\pi$
$522$	3.74965	−	1.55702i	0.164118	−	0.0681487i
$523$	1.78907	−	12.4433i	0.0782307	−	0.544107i	−0.912585	−	0.408887i	$-0.865917\pi$
$523$	1.78907	−	12.4433i	0.0782307	−	0.544107i	0.990816	−	0.135219i	$-0.0431739\pi$
$524$	−21.8851	+	16.4431i	−0.956057	+	0.718319i
$525$	−17.9655	+	2.58305i	−0.784080	+	0.112734i
$526$	−3.65589	+	2.95140i	−0.159404	+	0.128687i
$527$	−2.79388	+	3.22431i	−0.121703	+	0.140453i
$528$	8.79494	+	19.0806i	0.382751	+	0.830375i
$529$	−13.6516	−	18.5104i	−0.593548	−	0.804799i
$530$	0.700580	−	0.0759425i	0.0304312	−	0.00329873i
$531$	−8.38847	−	7.26865i	−0.364029	−	0.315433i
$532$	−3.99628	+	4.01034i	−0.173261	+	0.173870i
$533$	5.09987	+	35.4704i	0.220900	+	1.53639i
$534$	−2.19654	−	3.69467i	−0.0950536	−	0.159884i
$535$	−0.276536	−	0.0397599i	−0.0119557	−	0.00171897i
$536$	29.0607	−	20.2909i	1.25523	−	0.876433i
$537$	−17.6383	−	11.3355i	−0.761150	−	0.489161i
$538$	11.5894	−	34.9229i	0.499654	−	1.50563i
$539$	31.3844	+	9.21528i	1.35182	+	0.396930i
$540$	−0.156085	−	0.116416i	−0.00671681	−	0.00500975i
$541$	−11.1850	−	12.9081i	−0.480879	−	0.554964i	0.462526	−	0.886606i	$-0.346943\pi$
$541$	−11.1850	−	12.9081i	−0.480879	−	0.554964i	−0.943406	+	0.331641i	$0.892398\pi$
$542$	2.87212	−	15.9995i	0.123368	−	0.687237i
$543$	−5.31614	+	11.6407i	−0.228137	+	0.499551i
$544$	1.02712	−	32.7955i	0.0440375	−	1.40610i
$545$	−1.09494	+	0.321504i	−0.0469021	+	0.0137717i
$546$	−29.4457	−	1.02576i	−1.26016	−	0.0438986i
$547$	15.4074	−	7.03631i	0.658772	−	0.300851i	−0.0578373	−	0.998326i	$-0.518420\pi$
$547$	15.4074	−	7.03631i	0.658772	−	0.300851i	0.716609	+	0.697475i	$0.245693\pi$
$548$	−10.2178	+	3.83148i	−0.436481	+	0.163673i
$549$	6.34387	+	9.87125i	0.270750	+	0.421295i
$550$	21.1153	−	30.4689i	0.900359	−	1.29920i
$551$	−2.23453			−0.0951943
$552$	−13.4248	−	1.94300i	−0.571397	−	0.0826995i
$553$	−43.3853			−1.84493
$554$	20.5099	−	29.5954i	0.871384	−	1.25739i
$555$	0.456595	+	0.710476i	0.0193814	+	0.0301580i
$556$	−2.02736	+	0.760225i	−0.0859792	+	0.0322407i
$557$	7.62250	−	3.48108i	0.322976	−	0.147498i	−0.247328	−	0.968932i	$-0.579553\pi$
$557$	7.62250	−	3.48108i	0.322976	−	0.147498i	0.570304	+	0.821434i	$0.306825\pi$
$558$	1.03958	+	0.0362146i	0.0440089	+	0.00153308i
$559$	−31.7658	+	9.32728i	−1.34355	+	0.394502i
$560$	0.196643	−	1.40264i	0.00830967	−	0.0592724i
$561$	12.6561	−	27.7130i	0.534341	−	1.17004i
$562$	−4.19876	+	23.3897i	−0.177114	+	0.986635i
$563$	−16.9012	−	19.5050i	−0.712300	−	0.822037i	0.278059	−	0.960564i	$-0.410309\pi$
$563$	−16.9012	−	19.5050i	−0.712300	−	0.822037i	−0.990359	+	0.138526i	$0.955763\pi$
$564$	0.767508	+	0.572449i	0.0323179	+	0.0241044i
$565$	0.327350	+	0.0961187i	0.0137717	+	0.00404374i
$566$	5.68950	−	17.1445i	0.239148	−	0.720635i
$567$	3.05960	+	1.96628i	0.128491	+	0.0825761i
$568$	23.1846	+	33.2052i	0.972806	+	1.39326i
$569$	28.7551	+	4.13436i	1.20548	+	0.173321i	0.715625	−	0.698485i	$-0.246142\pi$
$569$	28.7551	+	4.13436i	1.20548	+	0.173321i	0.489851	+	0.871806i	$0.337051\pi$
$570$	0.0547648	+	0.0921167i	0.00229384	+	0.00385834i
$571$	−5.88820	−	40.9534i	−0.246414	−	1.71384i	−0.618616	−	0.785693i	$-0.712306\pi$
$571$	−5.88820	−	40.9534i	−0.246414	−	1.71384i	0.372203	−	0.928152i	$-0.378603\pi$
$572$	42.4765	−	42.6260i	1.77603	−	1.78228i
$573$	6.63840	+	5.75221i	0.277323	+	0.240302i
$574$	31.9884	−	3.46753i	1.33517	−	0.144732i
$575$	9.08005	+	22.1444i	0.378664	+	0.923485i
$576$	−6.37898	+	4.82790i	−0.265791	+	0.201163i
$577$	18.1215	−	20.9133i	0.754406	−	0.870631i	−0.240581	−	0.970629i	$-0.577338\pi$
$577$	18.1215	−	20.9133i	0.754406	−	0.870631i	0.994988	+	0.0999976i	$0.0318835\pi$
$578$	−18.3145	+	14.7853i	−0.761784	+	0.614989i
$579$	−16.7554	+	2.40906i	−0.696329	+	0.100117i
$580$	0.446927	−	0.335792i	0.0185576	−	0.0139430i
$581$	0.946737	−	6.58470i	0.0392773	−	0.273179i
$582$	−11.9020	+	4.94222i	−0.493354	+	0.204862i
$583$	14.5337	−	22.6149i	0.601926	−	0.936615i
$584$	−0.944430	+	9.00772i	−0.0390808	+	0.372742i
$585$	−0.157125	+	0.535119i	−0.00649632	+	0.0221244i
$586$	−17.0047	+	18.2965i	−0.702456	+	0.755821i
$587$	6.64272	−	5.75595i	0.274174	−	0.237573i	−0.506910	−	0.861999i	$-0.669212\pi$
$587$	6.64272	−	5.75595i	0.274174	−	0.237573i	0.781084	+	0.624426i	$0.214667\pi$
$588$	−0.866693	+	12.4246i	−0.0357418	+	0.512382i
$589$	−0.520763	−	0.237824i	−0.0214577	−	0.00979938i
$590$	−1.36721	−	0.682873i	−0.0562869	−	0.0281134i
$591$	0.559617	+	1.90588i	0.0230196	+	0.0783974i
$592$	33.2581	−	9.89250i	1.36690	−	0.406579i
$593$	−2.10969	−	4.61958i	−0.0866347	−	0.189704i	0.861356	−	0.508002i	$-0.169616\pi$
$593$	−2.10969	−	4.61958i	−0.0866347	−	0.189704i	−0.947991	+	0.318299i	$0.896889\pi$
$594$	−7.19579	+	1.84335i	−0.295247	+	0.0756335i
$595$	−1.72780	+	1.11039i	−0.0708327	+	0.0455214i
$596$	1.28871	+	0.700756i	0.0527878	+	0.0287041i
$597$			11.8420i			0.484661i
$598$	8.15636	+	37.9860i	0.333538	+	1.55336i
$599$			48.8055i			1.99414i	0.0765133	+	0.997069i	$0.475621\pi$
$599$			48.8055i			1.99414i	−0.0765133	+	0.997069i	$0.524379\pi$
$600$	13.0550	+	5.36732i	0.532970	+	0.219120i
$601$	14.2567	−	9.16224i	0.581544	−	0.373735i	−0.216548	−	0.976272i	$-0.569480\pi$
$601$	14.2567	−	9.16224i	0.581544	−	0.373735i	0.798091	+	0.602537i	$0.205843\pi$
$602$	7.37675	+	28.7962i	0.300654	+	1.17365i
$603$	5.20564	+	11.3988i	0.211990	+	0.464194i
$604$	−13.1264	+	0.961999i	−0.534107	+	0.0391432i
$605$	0.455014	+	1.54964i	0.0184989	+	0.0630016i
$606$	−1.37432	+	2.75158i	−0.0558280	+	0.111775i
$607$	−41.3937	−	18.9038i	−1.68012	−	0.767284i	−0.999396	−	0.0347400i	$-0.988940\pi$
$607$	−41.3937	−	18.9038i	−1.68012	−	0.767284i	−0.680720	−	0.732544i	$-0.738333\pi$
$608$	4.26135	−	1.10760i	0.172821	−	0.0449191i
$609$	−7.89103	+	6.83762i	−0.319761	+	0.277074i
$610$	1.18342	+	1.09987i	0.0479154	+	0.0445323i
$611$	0.772625	−	2.63132i	0.0312571	−	0.106452i
$612$	11.3398	+	2.44598i	0.458386	+	0.0988729i
$613$	15.4937	−	24.1086i	0.625783	−	0.973737i	−0.373160	−	0.927767i	$-0.621726\pi$
$613$	15.4937	−	24.1086i	0.625783	−	0.973737i	0.998943	−	0.0459704i	$-0.0146380\pi$
$614$	−15.7029	−	37.8161i	−0.633716	−	1.52613i
$615$	0.0866769	−	0.602851i	0.00349515	−	0.0243093i
$616$	−36.9221	−	39.4483i	−1.48764	−	1.58942i
$617$	−0.569269	+	0.0818486i	−0.0229179	+	0.00329510i	−0.153764	−	0.988108i	$-0.549140\pi$
$617$	−0.569269	+	0.0818486i	−0.0229179	+	0.00329510i	0.130846	+	0.991403i	$0.458231\pi$
$618$	−8.86183	−	10.9771i	−0.356475	−	0.441564i
$619$	−26.4725	+	30.5508i	−1.06402	+	1.22794i	−0.0913308	+	0.995821i	$0.529112\pi$
$619$	−26.4725	+	30.5508i	−1.06402	+	1.22794i	−0.972687	+	0.232121i	$0.925433\pi$
$620$	0.139896	−	0.0306900i	0.00561836	−	0.00123254i
$621$	1.53075	−	4.54497i	0.0614270	−	0.182384i
$622$	1.93982	+	17.8951i	0.0777796	+	0.717526i
$623$	8.35404	+	7.23882i	0.334698	+	0.290017i
$624$	19.3195	+	12.3202i	0.773399	+	0.493203i
$625$	−3.53765	−	24.6049i	−0.141506	−	0.984196i
$626$	−9.91667	+	5.89562i	−0.396350	+	0.235636i
$627$	4.04660	+	0.581813i	0.161606	+	0.0232354i
$628$	1.66544	+	3.03733i	0.0664583	+	0.121203i
$629$	−42.3278	−	27.2024i	−1.68772	−	1.08463i
$630$	0.475271	+	0.157722i	0.0189353	+	0.00628379i
$631$	16.0333	+	4.70782i	0.638278	+	0.187415i	0.584831	−	0.811155i	$-0.301161\pi$
$631$	16.0333	+	4.70782i	0.638278	+	0.187415i	0.0534470	+	0.998571i	$0.482979\pi$
$632$	29.0625	+	17.1402i	1.15604	+	0.681801i
$633$	6.51573	+	7.51956i	0.258977	+	0.298876i
$634$	20.9039	+	3.75253i	0.830200	+	0.149032i
$635$	0.545660	−	1.19483i	0.0216539	−	0.0474153i
$636$	9.59695	+	3.56029i	0.380544	+	0.141175i
$637$	34.2279	−	10.0502i	1.35616	−	0.398204i
$638$	0.742440	−	21.3126i	0.0293935	−	0.843773i
$639$	−13.0244	+	5.94804i	−0.515237	+	0.235301i
$640$	−0.685866	+	0.861900i	−0.0271112	+	0.0340696i
$641$	−9.40468	−	14.6340i	−0.371463	−	0.578007i	0.604322	−	0.796740i	$-0.293444\pi$
$641$	−9.40468	−	14.6340i	−0.371463	−	0.578007i	−0.975785	+	0.218733i	$0.929808\pi$
$642$	−3.33553	−	2.31156i	−0.131643	−	0.0912300i
$643$	0.834182			0.0328969			0.0164485	−	0.999865i	$-0.494764\pi$
$643$	0.834182			0.0328969			0.0164485	+	0.999865i	$0.494764\pi$
$644$	34.3413	−	6.13159i	1.35324	−	0.241619i
$645$	0.562680			0.0221555
$646$	−5.24766	−	3.63669i	−0.206466	−	0.143084i
$647$	5.28547	+	8.22435i	0.207793	+	0.323333i	0.929470	−	0.368898i	$-0.120265\pi$
$647$	5.28547	+	8.22435i	0.207793	+	0.323333i	−0.721677	+	0.692230i	$0.756628\pi$
$648$	−1.27271	−	2.52591i	−0.0499969	−	0.0992270i
$649$	−53.0318	+	24.2188i	−2.08168	+	0.950671i
$650$	1.40752	−	40.4045i	0.0552076	−	1.58480i
$651$	−2.56676	+	0.753668i	−0.100599	+	0.0295386i
$652$	2.76158	−	7.44399i	0.108152	−	0.291529i
$653$	3.03899	−	6.65446i	0.118925	−	0.260409i	−0.840803	−	0.541342i	$-0.817917\pi$
$653$	3.03899	−	6.65446i	0.118925	−	0.260409i	0.959727	+	0.280933i	$0.0906438\pi$
$654$	−16.3155	−	2.92885i	−0.637987	−	0.114527i
$655$	−0.872635	−	1.00707i	−0.0340967	−	0.0393497i
$656$	−22.7980	−	10.3148i	−0.890111	−	0.402727i
$657$	−3.07246	−	0.902155i	−0.119868	−	0.0351964i
$658$	−2.33703	−	0.775560i	−0.0911070	−	0.0302345i
$659$	16.8420	+	10.8237i	0.656073	+	0.421633i	0.825881	−	0.563845i	$-0.190678\pi$
$659$	16.8420	+	10.8237i	0.656073	+	0.421633i	−0.169808	+	0.985477i	$0.554315\pi$
$660$	−0.896788	+	0.491730i	−0.0349074	+	0.0191406i
$661$	−0.330792	−	0.0475608i	−0.0128663	−	0.00184990i	0.135879	−	0.990725i	$-0.456614\pi$
$661$	−0.330792	−	0.0475608i	−0.0128663	−	0.00184990i	−0.148745	+	0.988876i	$0.547523\pi$
$662$	−37.6732	+	22.3973i	−1.46421	+	0.870495i
$663$	−4.72862	−	32.8883i	−0.183645	−	1.27728i
$664$	−3.23561	+	4.03687i	−0.125566	+	0.156661i
$665$	−0.208286	−	0.180480i	−0.00807697	−	0.00699873i
$666$	1.32206	+	12.1962i	0.0512289	+	0.472593i
$667$	11.2815	+	7.89273i	0.436823	+	0.305608i
$668$	−2.60054	−	11.8542i	−0.100618	−	0.458653i
$669$	−11.2719	+	13.0085i	−0.435798	+	0.502937i
$670$	1.08380	+	1.34250i	0.0418708	+	0.0518652i
$671$	61.0053	−	8.77124i	2.35508	−	0.338610i
$672$	11.6593	−	16.9510i	0.449768	−	0.653900i
$673$	−0.210942	+	1.46713i	−0.00813120	+	0.0565537i	−0.993483	−	0.113980i	$-0.963640\pi$
$673$	−0.210942	+	1.46713i	−0.00813120	+	0.0565537i	0.985352	+	0.170534i	$0.0545491\pi$
$674$	−7.66796	−	18.4662i	−0.295359	−	0.711292i
$675$	−2.69808	+	4.19829i	−0.103849	+	0.161592i
$676$	8.35569	−	38.7380i	0.321373	−	1.48992i
$677$	−3.71080	+	12.6378i	−0.142617	+	0.485710i	−0.999559	−	0.0297036i	$-0.990544\pi$
$677$	−3.71080	+	12.6378i	−0.142617	+	0.485710i	0.856941	+	0.515414i	$0.172362\pi$
$678$	3.63005	+	3.37375i	0.139411	+	0.129568i
$679$	25.0474	−	21.7037i	0.961231	−	0.832912i
$680$	1.59608	−	0.0612150i	0.0612068	−	0.00234749i
$681$	−9.76301	−	4.45862i	−0.374119	−	0.170855i
$682$	2.44135	−	4.88792i	0.0934842	−	0.187168i
$683$	−1.32108	−	4.49919i	−0.0505498	−	0.172157i	0.930349	−	0.366675i	$-0.119504\pi$
$683$	−1.32108	−	4.49919i	−0.0505498	−	0.172157i	−0.980899	+	0.194518i	$0.937686\pi$
$684$	0.113779	+	1.55251i	0.00435045	+	0.0593618i
$685$	−0.220675	−	0.483210i	−0.00843155	−	0.0184625i
$686$	0.986137	+	3.84954i	0.0376509	+	0.146976i
$687$	5.63886	−	3.62388i	0.215136	−	0.138260i
$688$	6.43506	−	22.2041i	0.245334	−	0.846522i
$689$		−	29.3181i		−	1.11693i
$690$	0.0488789	−	0.658509i	0.00186079	−	0.0250690i
$691$		−	19.9257i		−	0.758011i	−0.925394	−	0.379005i	$-0.876266\pi$
$691$		−	19.9257i		−	0.758011i	0.925394	−	0.379005i	$-0.123734\pi$
$692$	−11.1825	+	20.5651i	−0.425096	+	0.781767i
$693$	16.0705	−	10.3279i	0.610468	−	0.392324i
$694$	20.1191	−	5.15391i	0.763710	−	0.195640i
$695$	−0.0437853	−	0.0958764i	−0.00166087	−	0.00363680i
$696$	7.98730	−	1.46281i	0.302758	−	0.0554475i
$697$	10.2227	+	34.8153i	0.387213	+	1.31873i
$698$	7.48624	+	3.73913i	0.283359	+	0.141528i
$699$	−6.95127	−	3.17454i	−0.262921	−	0.120072i
$700$	−36.2125	−	2.52605i	−1.36871	−	0.0954757i
$701$	30.8728	−	26.7514i	1.16605	−	1.01039i	0.166344	−	0.986068i	$-0.446804\pi$
$701$	30.8728	−	26.7514i	1.16605	−	1.01039i	0.999704	−	0.0243183i	$-0.00774153\pi$
$702$	−5.51507	+	5.93404i	−0.208153	+	0.223966i
$703$	1.90218	−	6.47823i	0.0717421	−	0.244331i
$704$	9.14821	+	41.0120i	0.344786	+	1.54570i
$705$	−0.0251991	+	0.0392105i	−0.000949051	+	0.00147675i
$706$	−47.2295	+	19.6117i	−1.77751	+	0.738097i
$707$	1.12569	−	7.82931i	0.0423357	−	0.294452i
$708$	−13.3346	−	17.7479i	−0.501145	−	0.667006i
$709$	5.45458	−	0.784250i	0.204851	−	0.0294531i	−0.0391253	−	0.999234i	$-0.512457\pi$
$709$	5.45458	−	0.784250i	0.204851	−	0.0294531i	0.243976	+	0.969781i	$0.421548\pi$
$710$	−1.53396	+	1.23836i	−0.0575683	+	0.0464749i
$711$	−7.81185	+	9.01536i	−0.292967	+	0.338102i
$712$	−2.73628	−	8.14950i	−0.102547	−	0.305415i
$713$	1.78915	+	3.04013i	0.0670042	+	0.113854i
$714$	−29.6598	+	3.21511i	−1.10999	+	0.120322i
$715$	2.21387	+	1.91833i	0.0827940	+	0.0717414i
$716$	−29.7034	−	29.5993i	−1.11007	−	1.10618i
$717$	1.08597	+	7.55308i	0.0405563	+	0.282075i
$718$	−6.98142	−	11.7430i	−0.260544	−	0.438246i
$719$	42.2233	+	6.07079i	1.57466	+	0.226402i	0.873581	−	0.486679i	$-0.161792\pi$
$719$	42.2233	+	6.07079i	1.57466	+	0.226402i	0.701082	+	0.713081i	$0.252701\pi$
$720$	−0.256059	−	0.293418i	−0.00954274	−	0.0109351i
$721$	30.5216	+	19.6150i	1.13668	+	0.730502i
$722$	−8.19331	+	24.6893i	−0.304924	+	0.918841i
$723$	4.24480	+	1.24639i	0.157866	+	0.0463536i
$724$	−15.3021	+	20.5162i	−0.568698	+	0.762480i
$725$	−9.38239	−	10.8279i	−0.348453	−	0.402137i
$726$	−4.14511	+	23.0908i	−0.153839	+	0.856981i
$727$	13.7595	−	30.1291i	0.510312	−	1.11743i	−0.462667	−	0.886532i	$-0.653107\pi$
$727$	13.7595	−	30.1291i	0.510312	−	1.11743i	0.972979	−	0.230895i	$-0.0741653\pi$
$728$	−57.1348	−	14.4226i	−2.11756	−	0.534536i
$729$	0.959493	−	0.281733i	0.0355368	−	0.0104345i
$730$	−0.440628	−	0.0153496i	−0.0163084	−	0.000568114i
$731$	−30.4932	+	13.9258i	−1.12783	+	0.515064i
$732$	8.23982	+	21.9739i	0.304553	+	0.812177i
$733$	3.04657	+	4.74056i	0.112528	+	0.175097i	0.892949	−	0.450157i	$-0.148632\pi$
$733$	3.04657	+	4.74056i	0.112528	+	0.175097i	−0.780422	+	0.625254i	$0.784996\pi$
$734$	−1.77050	+	2.55479i	−0.0653503	+	0.0942990i
$735$	−0.606293			−0.0223635
$736$	−25.4266	−	9.45983i	−0.937237	−	0.348694i
$737$	65.8199			2.42451
$738$	5.03921	−	7.27147i	0.185496	−	0.267666i
$739$	−15.4891	−	24.1014i	−0.569774	−	0.886586i	0.430095	−	0.902784i	$-0.358480\pi$
$739$	−15.4891	−	24.1014i	−0.569774	−	0.886586i	−0.999869	+	0.0161980i	$0.994844\pi$
$740$	0.593055	+	1.58155i	0.0218011	+	0.0581390i
$741$	4.05570	−	1.85218i	0.148990	−	0.0680414i
$742$	−26.3082	−	0.916468i	−0.965806	−	0.0336446i
$743$	−42.6113	+	12.5118i	−1.56326	+	0.459014i	−0.945030	−	0.326985i	$-0.893967\pi$
$743$	−42.6113	+	12.5118i	−1.56326	+	0.459014i	−0.618228	+	0.785999i	$0.712149\pi$
$744$	2.01715	+	0.509189i	0.0739521	+	0.0186678i
$745$	−0.0296643	+	0.0649557i	−0.00108681	+	0.00237979i
$746$	1.05522	−	5.87825i	0.0386345	−	0.215218i
$747$	−1.19782	−	1.38236i	−0.0438259	−	0.0505778i
$748$	36.4296	−	48.8429i	1.33200	−	1.78587i
$749$	10.0138	+	2.94031i	0.365896	+	0.107437i
$750$	−0.433255	+	1.30555i	−0.0158202	+	0.0476718i
$751$	3.83915	+	2.46727i	0.140093	+	0.0900321i	0.608810	−	0.793316i	$-0.291647\pi$
$751$	3.83915	+	2.46727i	0.140093	+	0.0900321i	−0.468717	+	0.883348i	$0.655284\pi$
$752$	1.25911	+	1.44281i	0.0459149	+	0.0526140i
$753$	7.56913	+	1.08828i	0.275835	+	0.0396590i
$754$	−11.8853	−	19.9915i	−0.432835	−	0.728047i
$755$	−0.0911815	−	0.634181i	−0.00331843	−	0.0230802i
$756$	5.15245	+	5.13438i	0.187393	+	0.186736i
$757$	33.3230	+	28.8745i	1.21114	+	1.04946i	0.997362	+	0.0725818i	$0.0231238\pi$
$757$	33.3230	+	28.8745i	1.21114	+	1.04946i	0.213782	+	0.976881i	$0.431422\pi$
$758$	42.2104	−	4.57559i	1.53315	−	0.166193i
$759$	−18.3751	−	17.2307i	−0.666973	−	0.625433i
$760$	0.0682219	+	0.203186i	0.00247467	+	0.00737032i
$761$	−25.7378	+	29.7030i	−0.932994	+	1.07673i	0.0638986	+	0.997956i	$0.479647\pi$
$761$	−25.7378	+	29.7030i	−0.932994	+	1.07673i	−0.996892	+	0.0787758i	$0.974899\pi$
$762$	14.8460	−	11.9852i	0.537813	−	0.434177i
$763$	42.1956	−	6.06681i	1.52758	−	0.219633i
$764$	10.5526	+	14.0452i	0.381781	+	0.508137i
$765$	−0.0803671	+	0.558966i	−0.00290568	+	0.0202094i
$766$	10.8807	−	4.51812i	0.393135	−	0.163246i
$767$	−34.3753	+	53.4890i	−1.24122	+	1.93137i
$768$	−14.5071	+	6.74873i	−0.523478	+	0.243524i
$769$	−1.37289	+	4.67563i	−0.0495076	+	0.168608i	−0.980536	−	0.196339i	$-0.937095\pi$
$769$	−1.37289	+	4.67563i	−0.0495076	+	0.168608i	0.931028	+	0.364947i	$0.118913\pi$
$770$	1.79059	−	1.92662i	0.0645285	−	0.0694307i
$771$	−9.49527	+	8.22769i	−0.341964	+	0.296313i
$772$	−33.7733	−	2.35589i	−1.21553	−	0.0847905i
$773$	−0.308985	−	0.141109i	−0.0111134	−	0.00507532i	0.409851	−	0.912153i	$-0.365581\pi$
$773$	−0.308985	−	0.141109i	−0.0111134	−	0.00507532i	−0.420964	+	0.907077i	$0.638308\pi$
$774$	7.31203	+	3.65212i	0.262826	+	0.131273i
$775$	−1.03416	−	3.52204i	−0.0371482	−	0.126515i
$776$	−25.3530	+	4.64318i	−0.910119	+	0.166681i
$777$	−13.1059	−	28.6979i	−0.470171	−	1.02953i
$778$	8.80365	−	2.25523i	0.315626	−	0.0808540i
$779$	−4.09611	+	2.63241i	−0.146758	+	0.0943159i
$780$	−0.532844	+	0.979918i	−0.0190789	+	0.0350867i
$781$			75.2068i			2.69111i
$782$	13.6486	+	36.8962i	0.488072	+	1.31940i
$783$			2.87090i			0.102598i
$784$	−6.93383	+	23.9251i	−0.247637	+	0.854467i
$785$	−0.141856	+	0.0911651i	−0.00506304	+	0.00325382i
$786$	−4.80341	−	18.7508i	−0.171332	−	0.668820i
$787$	20.7804	+	45.5027i	0.740741	+	1.62200i	0.782332	+	0.622862i	$0.214030\pi$
$787$	20.7804	+	45.5027i	0.740741	+	1.62200i	−0.0415908	+	0.999135i	$0.513243\pi$
$788$	0.290367	+	3.96205i	0.0103439	+	0.141142i
$789$	−0.936020	−	3.18779i	−0.0333232	−	0.113488i
$790$	−0.733906	+	1.46938i	−0.0261112	+	0.0522782i
$791$	−11.5930	−	5.29436i	−0.412201	−	0.188246i
$792$	−14.8454	+	0.569370i	−0.527507	+	0.0202317i
$793$	50.7991	−	44.0176i	1.80393	−	1.56311i
$794$	−0.597320	−	0.555146i	−0.0211981	−	0.0197014i
$795$	−0.140384	+	0.478102i	−0.00497889	+	0.0169565i
$796$	−4.99374	+	23.1516i	−0.176998	+	0.820585i
$797$	−17.7020	+	27.5448i	−0.627036	+	0.975687i	0.371841	+	0.928297i	$0.378727\pi$
$797$	−17.7020	+	27.5448i	−0.627036	+	0.975687i	−0.998876	+	0.0473901i	$0.984910\pi$
$798$	−1.53525	−	3.69724i	−0.0543473	−	0.130881i
$799$	0.395186	−	2.74858i	0.0139807	−	0.0972377i
$800$	23.2597	+	15.9986i	0.822355	+	0.565636i
$801$	3.00842	−	0.432546i	0.106297	−	0.0152832i
$802$	24.0980	+	29.8501i	0.850929	+	1.05404i
$803$	−11.0143	+	12.7112i	−0.388687	+	0.448569i
$804$	5.37040	+	24.4802i	0.189399	+	0.863351i
$805$	0.414089	+	1.64689i	0.0145947	+	0.0580454i
$806$	−0.642162	−	5.92402i	−0.0226192	−	0.208665i
$807$	19.6635	+	17.0385i	0.692186	+	0.599783i
$808$	−3.84719	+	4.79990i	−0.135344	+	0.168860i
$809$	4.55757	+	31.6986i	0.160236	+	1.11446i	0.898188	+	0.439611i	$0.144884\pi$
$809$	4.55757	+	31.6986i	0.160236	+	1.11446i	−0.737953	+	0.674852i	$0.764207\pi$
$810$	0.118351	−	0.0703612i	0.00415841	−	0.00247224i
$811$	−47.6667	−	6.85344i	−1.67381	−	0.240657i	−0.760912	−	0.648855i	$-0.775248\pi$
$811$	−47.6667	−	6.85344i	−1.67381	−	0.240657i	−0.912894	+	0.408198i	$0.866157\pi$
$812$	−18.3107	+	10.0402i	−0.642578	+	0.352341i
$813$	9.66953	+	6.21423i	0.339125	+	0.217943i
$814$	61.1562	+	20.2951i	2.14352	+	0.711342i
$815$	0.370846	+	0.108890i	0.0129902	+	0.00381426i
$816$	21.1384	+	9.56397i	0.739991	+	0.334806i
$817$	−2.94580	−	3.39963i	−0.103060	−	0.118938i
$818$	−15.6020	−	2.80076i	−0.545510	−	0.0979262i
$819$	8.65470	−	18.9511i	0.302420	−	0.662206i
$820$	0.423677	−	1.14204i	0.0147954	−	0.0398819i
$821$	−13.0876	+	3.84286i	−0.456760	+	0.134117i	−0.502015	−	0.864859i	$-0.667408\pi$
$821$	−13.0876	+	3.84286i	−0.456760	+	0.134117i	0.0452558	+	0.998975i	$0.485590\pi$
$822$	0.268641	−	7.71163i	0.00936991	−	0.268974i
$823$	11.5899	−	5.29295i	0.404000	−	0.184501i	−0.203043	−	0.979170i	$-0.565083\pi$
$823$	11.5899	−	5.29295i	0.404000	−	0.184501i	0.607043	+	0.794669i	$0.292356\pi$
$824$	−12.6962	−	25.1977i	−0.442293	−	0.877803i
$825$	14.1716	+	22.0515i	0.493393	+	0.767735i
$826$	46.9232	+	32.5183i	1.63267	+	1.13146i
$827$	9.03203			0.314074			0.157037	−	0.987593i	$-0.449806\pi$
$827$	9.03203			0.314074			0.157037	+	0.987593i	$0.449806\pi$
$828$	4.90928	−	8.24008i	0.170609	−	0.286363i
$829$	−22.1721			−0.770069			−0.385034	−	0.922902i	$-0.625810\pi$
$829$	−22.1721			−0.770069			−0.385034	+	0.922902i	$0.625810\pi$
$830$	−0.206997	−	0.143451i	−0.00718496	−	0.00497926i
$831$	13.7654	+	21.4193i	0.477515	+	0.743028i
$832$	32.5750	+	32.2335i	1.12933	+	1.11749i
$833$	32.8567	−	15.0052i	1.13842	−	0.519898i
$834$	0.0533024	−	1.53011i	0.00184571	−	0.0529832i
$835$	0.566849	−	0.166442i	0.0196166	−	0.00575996i
$836$	7.66590	+	2.84391i	0.265131	+	0.0983586i
$837$	−0.305554	+	0.669070i	−0.0105615	+	0.0231265i
$838$	32.3186	+	5.80162i	1.11643	+	0.200413i
$839$	7.59743	+	8.76791i	0.262293	+	0.302702i	0.871586	−	0.490243i	$-0.163092\pi$
$839$	7.59743	+	8.76791i	0.262293	+	0.302702i	−0.609293	+	0.792945i	$0.708547\pi$
$840$	0.862662	+	0.508773i	0.0297647	+	0.0175543i
$841$	19.9171	+	5.84818i	0.686795	+	0.201661i
$842$	−7.33076	−	2.43276i	−0.252635	−	0.0838385i
$843$	−14.1359	−	9.08460i	−0.486867	−	0.312890i
$844$	9.56753	+	17.4487i	0.329328	+	0.600608i
$845$	1.90948	+	0.274541i	0.0656880	+	0.00944451i
$846$	−0.581960	+	0.345984i	−0.0200082	+	0.0118952i
$847$	−8.58616	−	59.7180i	−0.295024	−	2.05194i
$848$	17.2610	+	11.0075i	0.592746	+	0.377999i
$849$	9.65324	+	8.36458i	0.331298	+	0.287072i
$850$	−4.41168	−	40.6983i	−0.151319	−	1.39594i
$851$	−32.4857	+	25.9880i	−1.11360	+	0.890856i
$852$	−27.9714	+	6.13629i	−0.958286	+	0.210226i
$853$	14.0407	−	16.2038i	0.480743	−	0.554807i	−0.462625	−	0.886554i	$-0.653092\pi$
$853$	14.0407	−	16.2038i	0.480743	−	0.554807i	0.943369	+	0.331747i	$0.107638\pi$
$854$	−37.9108	−	46.9599i	−1.29728	−	1.60694i
$855$	−0.0750069	+	0.0107844i	−0.00256518	+	0.000368817i
$856$	−5.54630	−	5.92577i	−0.189569	−	0.202539i
$857$	−2.83230	+	19.6991i	−0.0967494	+	0.672907i	0.882510	+	0.470294i	$0.155852\pi$
$857$	−2.83230	+	19.6991i	−0.0967494	+	0.672907i	−0.979259	+	0.202613i	$0.935057\pi$
$858$	16.3182	+	39.2980i	0.557094	+	1.34161i
$859$	−25.0198	+	38.9315i	−0.853664	+	1.32833i	0.0894961	+	0.995987i	$0.471474\pi$
$859$	−25.0198	+	38.9315i	−0.853664	+	1.32833i	−0.943160	+	0.332339i	$0.892162\pi$
$860$	1.10006	+	0.237281i	0.0375118	+	0.00809121i
$861$	−6.40990	+	21.8301i	−0.218449	+	0.743968i
$862$	−2.12680	−	1.97664i	−0.0724391	−	0.0673246i
$863$	−8.80839	+	7.63251i	−0.299841	+	0.259814i	−0.791767	−	0.610823i	$-0.790839\pi$
$863$	−8.80839	+	7.63251i	−0.299841	+	0.259814i	0.491926	+	0.870637i	$0.336293\pi$
$864$	−1.42303	−	5.47494i	−0.0484125	−	0.186261i
$865$	−1.03655	−	0.473377i	−0.0352438	−	0.0160953i
$866$	−16.9957	+	34.0276i	−0.577536	+	1.15631i
$867$	−4.68908	−	15.9695i	−0.159250	−	0.542354i
$868$	−5.33593	+	0.391055i	−0.181113	+	0.0132733i
$869$	26.0287	+	56.9949i	0.882964	+	1.93342i
$870$	0.0980928	+	0.382920i	0.00332566	+	0.0129822i
$871$	60.3881	−	38.8091i	2.04617	−	1.31500i
$872$	−30.6624	−	12.6062i	−1.03836	−	0.426901i
$873$		−	9.11271i		−	0.308419i
$874$	−4.23451	+	3.15217i	−0.143234	+	0.106624i
$875$		−	3.53754i		−	0.119591i
$876$	−5.62633	−	3.05939i	−0.190096	−	0.103367i
$877$	37.0205	−	23.7916i	1.25009	−	0.803387i	0.263197	−	0.964742i	$-0.415223\pi$
$877$	37.0205	−	23.7916i	1.25009	−	0.803387i	0.986896	+	0.161355i	$0.0515866\pi$
$878$	−40.3659	+	10.3405i	−1.36228	+	0.348976i
$879$	−7.33722	−	16.0663i	−0.247478	−	0.541902i
$880$	−1.96062	+	0.583178i	−0.0660923	+	0.0196589i
$881$	−16.7038	−	56.8878i	−0.562764	−	1.91660i	−0.329231	−	0.944249i	$-0.606789\pi$
$881$	−16.7038	−	56.8878i	−0.562764	−	1.91660i	−0.233533	−	0.972349i	$-0.575029\pi$
$882$	−7.87878	−	3.93519i	−0.265292	−	0.132505i
$883$	−25.3343	−	11.5698i	−0.852566	−	0.389354i	−0.0593079	−	0.998240i	$-0.518889\pi$
$883$	−25.3343	−	11.5698i	−0.852566	−	0.389354i	−0.793258	+	0.608886i	$0.791617\pi$
$884$	4.62427	−	66.2919i	0.155531	−	2.22964i
$885$	0.816693	−	0.707669i	0.0274528	−	0.0237880i
$886$	−8.11109	+	8.72728i	−0.272498	+	0.293199i
$887$	4.76961	−	16.2438i	0.160148	−	0.545413i	−0.839849	−	0.542820i	$-0.817357\pi$
$887$	4.76961	−	16.2438i	0.160148	−	0.545413i	0.999997	−	0.00259279i	$-0.000825313\pi$
$888$	−2.55842	+	24.4016i	−0.0858551	+	0.818863i
$889$	−26.5283	+	41.2789i	−0.889731	+	1.38445i
$890$	0.386483	−	0.160484i	0.0129549	−	0.00537944i
$891$	0.747507	−	5.19903i	0.0250424	−	0.174174i
$892$	−27.5227	+	20.6787i	−0.921527	+	0.692376i
$893$	0.368828	−	0.0530295i	0.0123424	−	0.00177456i
$894$	−0.807087	+	0.651562i	−0.0269930	+	0.0217915i
$895$	1.33677	−	1.54271i	0.0446832	−	0.0515671i
$896$	29.9426	−	28.2232i	1.00031	−	0.942870i
$897$	−27.0183	−	4.97427i	−0.902115	−	0.166086i
$898$	−44.7380	+	4.84958i	−1.49293	+	0.161833i
$899$	−1.59589	−	1.38285i	−0.0532259	−	0.0461205i
$900$	−7.04526	+	7.07005i	−0.234842	+	0.235668i
$901$	−4.22479	−	29.3841i	−0.140748	−	0.978925i
$902$	−23.7465	−	39.9426i	−0.790672	−	1.32994i
$903$	−20.8056	−	2.99139i	−0.692366	−	0.0995472i
$904$	5.67418	+	8.12659i	0.188721	+	0.270286i
$905$	−1.04813	−	0.673595i	−0.0348412	−	0.0223911i
$906$	2.93129	−	8.83301i	0.0973857	−	0.293457i
$907$	18.4200	+	5.40859i	0.611624	+	0.179589i	0.572852	−	0.819659i	$-0.305837\pi$
$907$	18.4200	+	5.40859i	0.611624	+	0.179589i	0.0387726	+	0.999248i	$0.487655\pi$
$908$	−17.2069	−	12.8338i	−0.571030	−	0.425905i
$909$	−1.42422	−	1.64364i	−0.0472386	−	0.0545162i
$910$	0.506839	−	2.82341i	0.0168015	−	0.0935950i
$911$	−5.99245	+	13.1216i	−0.198539	+	0.434739i	−0.982548	−	0.186010i	$-0.940444\pi$
$911$	−5.99245	+	13.1216i	−0.198539	+	0.434739i	0.784009	+	0.620749i	$0.213171\pi$
$912$	−0.432248	+	3.08320i	−0.0143131	+	0.102095i
$913$	−9.21827	+	2.70673i	−0.305080	+	0.0895796i
$914$	15.8419	+	0.551865i	0.524003	+	0.0182541i
$915$	−1.03917	+	0.474574i	−0.0343540	+	0.0156889i
$916$	12.5524	−	4.70692i	0.414742	−	0.155521i
$917$	26.9125	+	41.8766i	0.888728	+	1.38289i
$918$	−4.67238	+	6.74213i	−0.154211	+	0.222524i
$919$	−37.1677			−1.22605			−0.613024	−	0.790064i	$-0.710047\pi$
$919$	−37.1677			−1.22605			−0.613024	+	0.790064i	$0.710047\pi$
$920$	0.373252	−	1.26680i	0.0123057	−	0.0417651i
$921$	28.9537			0.954058
$922$	−23.4643	+	33.8585i	−0.772757	+	1.11507i
$923$	44.3438	+	69.0003i	1.45959	+	2.27117i
$924$	35.7737	−	13.4145i	1.17687	−	0.441305i
$925$	39.3784	−	17.9835i	1.29475	−	0.591294i
$926$	−50.5016	−	1.75926i	−1.65958	−	0.0578129i
$927$	9.57161	−	2.81048i	0.314373	−	0.0923082i
$928$	16.2323	+	0.508381i	0.532852	+	0.0166884i
$929$	10.8342	−	23.7235i	0.355457	−	0.778343i	−0.644449	−	0.764647i	$-0.722913\pi$
$929$	10.8342	−	23.7235i	0.355457	−	0.778343i	0.999906	−	0.0136956i	$-0.00435958\pi$
$930$	−0.0178940	+	0.0996805i	−0.000586766	+	0.00326865i
$931$	3.17412	+	3.66313i	0.104028	+	0.120054i
$932$	−12.2513	−	9.13767i	−0.401305	−	0.299314i
$933$	−12.2123	−	3.58585i	−0.399812	−	0.117395i
$934$	11.3158	−	34.0983i	0.370263	−	1.11573i
$935$	2.49529	+	1.60362i	0.0816046	+	0.0524441i
$936$	−13.2845	+	9.27559i	−0.434219	+	0.303182i
$937$	−52.6062	−	7.56363i	−1.71857	−	0.247093i	−0.788646	−	0.614848i	$-0.789217\pi$
$937$	−52.6062	−	7.56363i	−1.71857	−	0.247093i	−0.929923	+	0.367755i	$0.880127\pi$
$938$	−32.9372	−	55.4017i	−1.07544	−	1.80893i
$939$	−1.16097	−	8.07474i	−0.0378869	−	0.263509i
$940$	−0.0658001	+	0.0660316i	−0.00214616	+	0.00215371i
$941$	26.3192	+	22.8058i	0.857983	+	0.743446i	0.968124	−	0.250470i	$-0.0805850\pi$
$941$	26.3192	+	22.8058i	0.857983	+	0.743446i	−0.110142	+	0.993916i	$0.535130\pi$
$942$	−2.43513	+	0.263967i	−0.0793408	+	0.00860051i
$943$	29.9782	+	1.17782i	0.976225	+	0.0383552i
$944$	−18.5854	−	40.3209i	−0.604904	−	1.31233i
$945$	−0.231879	+	0.267603i	−0.00754304	+	0.00870513i
$946$	33.4038	−	26.9669i	1.08605	−	0.876770i
$947$	−16.2878	+	2.34184i	−0.529284	+	0.0760995i	−0.401776	−	0.915738i	$-0.631607\pi$
$947$	−16.2878	+	2.34184i	−0.529284	+	0.0760995i	−0.127508	+	0.991838i	$0.540698\pi$
$948$	−19.0742	+	14.3311i	−0.619502	+	0.465453i
$949$	−2.61052	+	18.1565i	−0.0847410	+	0.589386i
$950$	5.07325	−	2.10663i	0.164598	−	0.0683481i
$951$	−8.11911	+	12.6336i	−0.263280	+	0.409672i
$952$	−59.3417	−	6.22179i	−1.92328	−	0.201649i
$953$	0.833614	−	2.83903i	0.0270034	−	0.0919652i	−0.944889	−	0.327391i	$-0.893830\pi$
$953$	0.833614	−	2.83903i	0.0270034	−	0.0919652i	0.971892	+	0.235426i	$0.0756486\pi$
$954$	−4.92744	+	5.30178i	−0.159532	+	0.171651i
$955$	−0.646308	+	0.560029i	−0.0209140	+	0.0181221i
$956$	−1.06200	+	15.2245i	−0.0343477	+	0.492396i
$957$	13.7167	+	6.26421i	0.443398	+	0.202493i
$958$	19.6039	+	9.79147i	0.633372	+	0.316348i
$959$	5.59073	+	19.0403i	0.180534	+	0.614843i
$960$	−0.376871	−	0.681623i	−0.0121634	−	0.0219993i
$961$	12.6531	+	27.7065i	0.408165	+	0.893757i
$962$	68.0757	−	17.4390i	2.19485	−	0.562255i
$963$	2.41405	−	1.55142i	0.0777916	−	0.0499937i
$964$	7.77315	+	4.22675i	0.250356	+	0.136135i
$965$		−	1.64806i		−	0.0530529i
$966$	−5.30819	+	24.0891i	−0.170788	+	0.775053i
$967$			7.64419i			0.245821i	0.992418	+	0.122910i	$0.0392227\pi$
$967$			7.64419i			0.245821i	−0.992418	+	0.122910i	$0.960777\pi$
$968$	−17.8412	+	43.3954i	−0.573437	+	1.39478i
$969$	3.79793	−	2.44078i	0.122007	−	0.0784092i
$970$	−0.311362	−	1.21545i	−0.00999724	−	0.0390257i
$971$	−8.74169	−	19.1416i	−0.280534	−	0.614284i	0.715942	−	0.698160i	$-0.245997\pi$
$971$	−8.74169	−	19.1416i	−0.280534	−	0.614284i	−0.996476	+	0.0838757i	$0.973270\pi$
$972$	1.99465	−	0.146182i	0.0639784	−	0.00468879i
$973$	1.10929	+	3.77788i	0.0355621	+	0.121113i
$974$	2.22077	−	4.44628i	0.0711579	−	0.142468i
$975$	26.0042	+	11.8757i	0.832802	+	0.380328i
$976$	6.84284	+	46.4344i	0.219034	+	1.48633i
$977$	−28.2821	+	24.5066i	−0.904824	+	0.784035i	−0.976974	−	0.213359i	$-0.931560\pi$
$977$	−28.2821	+	24.5066i	−0.904824	+	0.784035i	0.0721497	+	0.997394i	$0.477014\pi$
$978$	4.11239	+	3.82203i	0.131500	+	0.122215i
$979$	4.49763	−	15.3175i	0.143745	−	0.489551i
$980$	−1.18533	−	0.255672i	−0.0378638	−	0.00816715i
$981$	6.33697	−	9.86052i	0.202324	−	0.314822i
$982$	16.2604	+	39.1587i	0.518889	+	1.24960i
$983$	−2.47182	+	17.1919i	−0.0788388	+	0.548336i	0.911674	+	0.410915i	$0.134791\pi$
$983$	−2.47182	+	17.1919i	−0.0788388	+	0.548336i	−0.990513	+	0.137422i	$0.956119\pi$
$984$	12.9182	−	12.0910i	0.411817	−	0.385446i
$985$	−0.191420	+	0.0275220i	−0.00609914	+	0.000876924i
$986$	−14.7928	−	18.3238i	−0.471099	−	0.583549i
$987$	1.14021	−	1.31587i	0.0362933	−	0.0418847i
$988$	8.71011	−	1.91080i	0.277105	−	0.0607906i
$989$	2.86446	+	27.5688i	0.0910844	+	0.876637i
$990$	−0.0779377	−	0.718985i	−0.00247702	−	0.0228508i
$991$	−42.4238	−	36.7605i	−1.34764	−	1.16773i	−0.970368	−	0.241632i	$-0.922317\pi$
$991$	−42.4238	−	36.7605i	−1.34764	−	1.16773i	−0.377270	−	0.926103i	$-0.623137\pi$
$992$	3.72887	+	1.84611i	0.118392	+	0.0586140i
$993$	−4.41050	−	30.6757i	−0.139963	−	0.973465i
$994$	63.3028	−	37.6345i	2.00784	−	1.19369i
$995$	−1.14119	−	0.164078i	−0.0361782	−	0.00520164i
$996$	−1.75884	−	3.20768i	−0.0557311	−	0.101639i
$997$	−23.5184	−	15.1143i	−0.744834	−	0.478676i	0.112361	−	0.993667i	$-0.464159\pi$
$997$	−23.5184	−	15.1143i	−0.744834	−	0.478676i	−0.857195	+	0.514992i	$0.827795\pi$
$998$	−6.38454	−	2.11875i	−0.202099	−	0.0670679i
$999$	−8.32316	−	2.44390i	−0.263333	−	0.0773216i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.m.a.7.8	yes	240
3.2	odd	2		828.2.u.c.559.17		240
4.3	odd	2	inner	276.2.m.a.7.6	✓	240
12.11	even	2		828.2.u.c.559.19		240
23.10	odd	22	inner	276.2.m.a.79.6	yes	240
69.56	even	22		828.2.u.c.631.19		240
92.79	even	22	inner	276.2.m.a.79.8	yes	240
276.263	odd	22		828.2.u.c.631.17		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.m.a.7.6	✓	240	4.3	odd	2	inner
276.2.m.a.7.8	yes	240	1.1	even	1	trivial
276.2.m.a.79.6	yes	240	23.10	odd	22	inner
276.2.m.a.79.8	yes	240	92.79	even	22	inner
828.2.u.c.559.17		240	3.2	odd	2
828.2.u.c.559.19		240	12.11	even	2
828.2.u.c.631.17		240	276.263	odd	22
828.2.u.c.631.19		240	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:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.m (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.805537 + 1.16237i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-0.702219 - 1.87267i) q^{4} +(0.0885609 - 0.0404444i) q^{5} +(1.41336 + 0.0492354i) q^{6} +(-3.48963 + 1.02465i) q^{7} +(2.74240 + 0.692265i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\)	\(q+(-0.805537 + 1.16237i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-0.702219 - 1.87267i) q^{4} +(0.0885609 - 0.0404444i) q^{5} +(1.41336 + 0.0492354i) q^{6} +(-3.48963 + 1.02465i) q^{7} +(2.74240 + 0.692265i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(-0.0243277 + 0.135520i) q^{10} +(3.43965 + 3.96957i) q^{11} +(-1.19574 + 1.60319i) q^{12} +(5.49635 + 1.61387i) q^{13} +(1.62000 - 4.88164i) q^{14} +(-0.0819036 - 0.0526363i) q^{15} +(-3.01378 + 2.63005i) q^{16} +(5.74128 + 0.825472i) q^{17} +(-0.722699 - 1.21561i) q^{18} +(0.110769 + 0.770415i) q^{19} +(-0.137928 - 0.137444i) q^{20} +(2.74862 + 2.38169i) q^{21} +(-7.38488 + 0.800518i) q^{22} +(2.16199 - 4.28086i) q^{23} +(-0.900284 - 2.68132i) q^{24} +(-3.26810 + 3.77158i) q^{25} +(-6.30344 + 5.08877i) q^{26} +(0.989821 - 0.142315i) q^{27} +(4.36931 + 5.81539i) q^{28} +(-0.408572 + 2.84168i) q^{29} +(0.127159 - 0.0528020i) q^{30} +(-0.397663 + 0.618775i) q^{31} +(-0.629382 - 5.62173i) q^{32} +(1.47980 - 5.03973i) q^{33} +(-5.58432 + 6.00856i) q^{34} +(-0.267603 + 0.231879i) q^{35} +(1.99515 + 0.139174i) q^{36} +(-7.89064 - 3.60354i) q^{37} +(-0.984738 - 0.491844i) q^{38} +(-1.61387 - 5.49635i) q^{39} +(0.270868 - 0.0496072i) q^{40} +(2.59872 + 5.69040i) q^{41} +(-4.98253 + 1.27638i) q^{42} +(-4.86197 + 3.12460i) q^{43} +(5.01830 - 9.22883i) q^{44} +0.0973590i q^{45} +(3.23439 + 5.96143i) q^{46} -0.478740i q^{47} +(3.84191 + 1.11344i) q^{48} +(5.23882 - 3.36678i) q^{49} +(-1.75141 - 6.83690i) q^{50} +(-2.40954 - 5.27616i) q^{51} +(-0.837388 - 11.4261i) q^{52} +(-1.44192 - 4.91072i) q^{53} +(-0.631915 + 1.26518i) q^{54} +(0.465165 + 0.212434i) q^{55} +(-10.2793 + 0.394245i) q^{56} +(0.588228 - 0.509703i) q^{57} +(-2.97397 - 2.76400i) q^{58} +(-3.12710 + 10.6499i) q^{59} +(-0.0410560 + 0.190341i) q^{60} +(6.34387 - 9.87125i) q^{61} +(-0.398915 - 0.960679i) q^{62} +(0.517592 - 3.59993i) q^{63} +(7.04154 + 3.79694i) q^{64} +(0.552034 - 0.0793704i) q^{65} +(4.66601 + 5.77977i) q^{66} +(8.20618 - 9.47044i) q^{67} +(-2.48580 - 11.3312i) q^{68} +(-4.77015 + 0.495629i) q^{69} +(-0.0539659 - 0.497842i) q^{70} +(10.8211 + 9.37649i) q^{71} +(-1.76894 + 2.20700i) q^{72} +(0.455716 + 3.16957i) q^{73} +(10.5449 - 6.26908i) q^{74} +(4.93972 + 0.710225i) q^{75} +(1.36495 - 0.748434i) q^{76} +(-16.0705 - 10.3279i) q^{77} +(7.68884 + 2.55159i) q^{78} +(11.4458 + 3.36080i) q^{79} +(-0.160532 + 0.354810i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-8.70772 - 1.56315i) q^{82} +(-0.759844 + 1.66383i) q^{83} +(2.52999 - 6.81973i) q^{84} +(0.541839 - 0.159098i) q^{85} +(0.284553 - 8.16840i) q^{86} +(2.61147 - 1.19262i) q^{87} +(6.68491 + 13.2673i) q^{88} +(-1.64320 - 2.55687i) q^{89} +(-0.113167 - 0.0784263i) q^{90} -20.8339 q^{91} +(-9.53483 - 1.04259i) q^{92} +0.735540 q^{93} +(0.556474 + 0.385643i) q^{94} +(0.0409688 + 0.0637487i) q^{95} +(-4.38903 + 3.56881i) q^{96} +(-8.28922 + 3.78556i) q^{97} +(-0.306608 + 8.80153i) q^{98} +(-5.03973 + 1.47980i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Introduction

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