LMFDB - Embedded newform 483.2.bb.a.353.54

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(26,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 55, 48]))

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

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

chi := DirichletCharacter("483.26");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bb (of order $66$, degree $20$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			353.54
Character	$\chi$	$=$	483.353
Dual form			483.2.bb.a.26.54

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.901659 + 2.25223i) q^{2} +(0.903644 + 1.47764i) q^{3} +(-2.81210 + 2.68133i) q^{4} +(-0.232309 + 0.671212i) q^{5} +(-2.51322 + 3.36755i) q^{6} +(-2.47888 - 0.924746i) q^{7} +(-4.16099 - 1.90026i) q^{8} +(-1.36685 + 2.67053i) q^{9} +O(q^{10})$	\(q+(0.901659 + 2.25223i) q^{2} +(0.903644 + 1.47764i) q^{3} +(-2.81210 + 2.68133i) q^{4} +(-0.232309 + 0.671212i) q^{5} +(-2.51322 + 3.36755i) q^{6} +(-2.47888 - 0.924746i) q^{7} +(-4.16099 - 1.90026i) q^{8} +(-1.36685 + 2.67053i) q^{9} +(-1.72119 + 0.0819904i) q^{10} +(1.11141 - 2.77616i) q^{11} +(-6.50319 - 1.73231i) q^{12} +(1.79409 + 2.79165i) q^{13} +(-0.152358 - 6.41682i) q^{14} +(-1.20174 + 0.263268i) q^{15} +(0.158276 - 3.32262i) q^{16} +(-0.311556 + 1.28425i) q^{17} +(-7.24709 - 0.670574i) q^{18} +(2.07491 - 0.503368i) q^{19} +(-1.14647 - 2.51041i) q^{20} +(-0.873580 - 4.49854i) q^{21} +7.25466 q^{22} +(-3.64870 - 3.11239i) q^{23} +(-0.952148 - 7.86561i) q^{24} +(3.53371 + 2.77894i) q^{25} +(-4.66981 + 6.55782i) q^{26} +(-5.18123 + 0.393482i) q^{27} +(9.45042 - 4.04622i) q^{28} +(2.16566 + 7.37555i) q^{29} +(-1.67650 - 2.46921i) q^{30} +(6.52586 - 4.64704i) q^{31} +(-1.01954 + 0.352865i) q^{32} +(5.10648 - 0.866398i) q^{33} +(-3.17335 + 0.456259i) q^{34} +(1.19657 - 1.44903i) q^{35} +(-3.31684 - 11.1748i) q^{36} +(-1.52829 - 0.294554i) q^{37} +(3.00456 + 4.21932i) q^{38} +(-2.50385 + 5.17368i) q^{39} +(2.24211 - 2.35146i) q^{40} +(1.99209 + 2.29899i) q^{41} +(9.34409 - 6.02365i) q^{42} +(4.44619 + 9.73581i) q^{43} +(4.31842 + 10.7869i) q^{44} +(-1.47496 - 1.53784i) q^{45} +(3.71994 - 11.0240i) q^{46} +(-2.79526 - 4.84154i) q^{47} +(5.05266 - 2.76859i) q^{48} +(5.28969 + 4.58467i) q^{49} +(-3.07262 + 10.4644i) q^{50} +(-2.17920 + 0.700138i) q^{51} +(-12.5305 - 3.03987i) q^{52} +(-3.66072 - 7.10081i) q^{53} +(-5.55792 - 11.3146i) q^{54} +(1.60520 + 1.39091i) q^{55} +(8.55733 + 8.55838i) q^{56} +(2.61878 + 2.61111i) q^{57} +(-14.6588 + 11.5278i) q^{58} +(-0.0665143 - 1.39631i) q^{59} +(2.67350 - 3.96259i) q^{60} +(-0.497275 - 5.20770i) q^{61} +(16.3503 + 10.5077i) q^{62} +(5.85783 - 5.35592i) q^{63} +(-6.07065 - 7.00590i) q^{64} +(-2.29057 + 0.555687i) q^{65} +(6.55563 + 10.7198i) q^{66} +(7.36286 + 5.79021i) q^{67} +(-2.56738 - 4.44684i) q^{68} +(1.30187 - 8.20397i) q^{69} +(4.34244 + 1.38842i) q^{70} +(0.417778 + 0.0600674i) q^{71} +(10.7622 - 8.51465i) q^{72} +(-4.46926 - 4.68722i) q^{73} +(-0.714592 - 3.70766i) q^{74} +(-0.913063 + 7.73273i) q^{75} +(-4.48516 + 6.97905i) q^{76} +(-5.32228 + 5.85399i) q^{77} +(-13.9100 - 0.974364i) q^{78} +(3.81724 + 1.96793i) q^{79} +(2.19341 + 0.878109i) q^{80} +(-5.26342 - 7.30044i) q^{81} +(-3.38168 + 6.55955i) q^{82} +(11.3469 - 13.0950i) q^{83} +(14.5187 + 10.3080i) q^{84} +(-0.789628 - 0.507463i) q^{85} +(-17.9184 + 18.7922i) q^{86} +(-8.94144 + 9.86494i) q^{87} +(-9.89997 + 9.43960i) q^{88} +(0.521285 - 0.732043i) q^{89} +(2.13366 - 4.70855i) q^{90} +(-1.86575 - 8.57925i) q^{91} +(18.6059 - 1.03104i) q^{92} +(12.7637 + 5.44361i) q^{93} +(8.38391 - 10.6610i) q^{94} +(-0.144153 + 1.50964i) q^{95} +(-1.44271 - 1.18765i) q^{96} +(10.5336 - 9.12743i) q^{97} +(-5.55626 + 16.0474i) q^{98} +(5.89467 + 6.76264i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{11}\right)$

Coefficient data

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

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

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

$2$	0.901659	+	2.25223i	0.637569	+	1.59257i	0.796065	+	0.605211i	$0.206911\pi$
$2$	0.901659	+	2.25223i	0.637569	+	1.59257i	−0.158496	+	0.987360i	$0.550665\pi$
$3$	0.903644	+	1.47764i	0.521719	+	0.853117i
$3$	0.903644	+	1.47764i	0.521719	+	0.853117i
$4$	−2.81210	+	2.68133i	−1.40605	+	1.34067i
$5$	−0.232309	+	0.671212i	−0.103892	+	0.300175i	−0.984952	−	0.172829i	$-0.944709\pi$
$5$	−0.232309	+	0.671212i	−0.103892	+	0.300175i	0.881060	+	0.473004i	$0.156830\pi$
$6$	−2.51322	+	3.36755i	−1.02602	+	1.37480i
$7$	−2.47888	−	0.924746i	−0.936928	−	0.349521i
$7$	−2.47888	−	0.924746i	−0.936928	−	0.349521i
$8$	−4.16099	−	1.90026i	−1.47113	−	0.671843i
$9$	−1.36685	+	2.67053i	−0.455618	+	0.890175i
$10$	−1.72119	+	0.0819904i	−0.544288	+	0.0259276i
$11$	1.11141	−	2.77616i	0.335101	−	0.837043i	−0.661127	−	0.750274i	$-0.729922\pi$
$11$	1.11141	−	2.77616i	0.335101	−	0.837043i	0.996228	−	0.0867688i	$-0.0276542\pi$
$12$	−6.50319	−	1.73231i	−1.87731	−	0.500075i
$13$	1.79409	+	2.79165i	0.497590	+	0.774266i	0.995679	−	0.0928604i	$-0.0296010\pi$
$13$	1.79409	+	2.79165i	0.497590	+	0.774266i	−0.498089	+	0.867126i	$0.665965\pi$
$14$	−0.152358	−	6.41682i	−0.0407193	−	1.71497i
$15$	−1.20174	+	0.263268i	−0.310287	+	0.0679754i
$16$	0.158276	−	3.32262i	0.0395689	−	0.830654i
$17$	−0.311556	+	1.28425i	−0.0755635	+	0.311477i	−0.997033	−	0.0769734i	$-0.975474\pi$
$17$	−0.311556	+	1.28425i	−0.0755635	+	0.311477i	0.921470	+	0.388450i	$0.126989\pi$
$18$	−7.24709	−	0.670574i	−1.70815	−	0.158056i
$19$	2.07491	−	0.503368i	0.476017	−	0.115480i	0.00942943	−	0.999956i	$-0.496998\pi$
$19$	2.07491	−	0.503368i	0.476017	−	0.115480i	0.466587	+	0.884475i	$0.345483\pi$
$20$	−1.14647	−	2.51041i	−0.256358	−	0.561346i
$21$	−0.873580	−	4.49854i	−0.190631	−	0.981662i
$22$	7.25466			1.54670
$23$	−3.64870	−	3.11239i	−0.760807	−	0.648978i
$23$	−3.64870	−	3.11239i	−0.760807	−	0.648978i
$24$	−0.952148	−	7.86561i	−0.194356	−	1.60556i
$25$	3.53371	+	2.77894i	0.706741	+	0.555788i
$26$	−4.66981	+	6.55782i	−0.915824	+	1.28610i
$27$	−5.18123	+	0.393482i	−0.997129	+	0.0757257i
$28$	9.45042	−	4.04622i	1.78596	−	0.764664i
$29$	2.16566	+	7.37555i	0.402152	+	1.36961i	0.873142	+	0.487466i	$0.162079\pi$
$29$	2.16566	+	7.37555i	0.402152	+	1.36961i	−0.470989	+	0.882139i	$0.656103\pi$
$30$	−1.67650	−	2.46921i	−0.306085	−	0.450815i
$31$	6.52586	−	4.64704i	1.17208	−	0.834634i	0.183159	−	0.983083i	$-0.441368\pi$
$31$	6.52586	−	4.64704i	1.17208	−	0.834634i	0.988920	+	0.148450i	$0.0474283\pi$
$32$	−1.01954	+	0.352865i	−0.180230	+	0.0623784i
$33$	5.10648	−	0.866398i	0.888924	−	0.150820i
$34$	−3.17335	+	0.456259i	−0.544226	+	0.0782478i
$35$	1.19657	−	1.44903i	0.202257	−	0.244930i
$36$	−3.31684	−	11.1748i	−0.552806	−	1.86246i
$37$	−1.52829	−	0.294554i	−0.251250	−	0.0484244i	0.0620713	−	0.998072i	$-0.480229\pi$
$37$	−1.52829	−	0.294554i	−0.251250	−	0.0484244i	−0.313321	+	0.949647i	$0.601442\pi$
$38$	3.00456	+	4.21932i	0.487404	+	0.684463i
$39$	−2.50385	+	5.17368i	−0.400937	+	0.828452i
$40$	2.24211	−	2.35146i	0.354509	−	0.371798i
$41$	1.99209	+	2.29899i	0.311112	+	0.359042i	0.889674	−	0.456596i	$-0.150932\pi$
$41$	1.99209	+	2.29899i	0.311112	+	0.359042i	−0.578562	+	0.815638i	$0.696386\pi$
$42$	9.34409	−	6.02365i	1.44182	−	0.929470i
$43$	4.44619	+	9.73581i	0.678038	+	1.48470i	0.864708	+	0.502274i	$0.167503\pi$
$43$	4.44619	+	9.73581i	0.678038	+	1.48470i	−0.186670	+	0.982423i	$0.559770\pi$
$44$	4.31842	+	10.7869i	0.651026	+	1.62618i
$45$	−1.47496	−	1.53784i	−0.219874	−	0.229247i
$46$	3.71994	−	11.0240i	0.548475	−	1.62541i
$47$	−2.79526	−	4.84154i	−0.407731	−	0.706211i	0.586904	−	0.809657i	$-0.300347\pi$
$47$	−2.79526	−	4.84154i	−0.407731	−	0.706211i	−0.994635	+	0.103446i	$0.967013\pi$
$48$	5.05266	−	2.76859i	0.729289	−	0.399611i
$49$	5.28969	+	4.58467i	0.755670	+	0.654953i
$50$	−3.07262	+	10.4644i	−0.434534	+	1.47989i
$51$	−2.17920	+	0.700138i	−0.305149	+	0.0980389i
$52$	−12.5305	−	3.03987i	−1.73767	−	0.421554i
$53$	−3.66072	−	7.10081i	−0.502839	−	0.975371i	−0.994515	−	0.104593i	$-0.966646\pi$
$53$	−3.66072	−	7.10081i	−0.502839	−	0.975371i	0.491677	−	0.870778i	$-0.336384\pi$
$54$	−5.55792	−	11.3146i	−0.756337	−	1.53972i
$55$	1.60520	+	1.39091i	0.216445	+	0.187551i
$56$	8.55733	+	8.55838i	1.14352	+	1.14366i
$57$	2.61878	+	2.61111i	0.346865	+	0.345850i
$58$	−14.6588	+	11.5278i	−1.92479	+	1.51367i
$59$	−0.0665143	−	1.39631i	−0.00865942	−	0.181784i	−0.999053	−	0.0435073i	$-0.986147\pi$
$59$	−0.0665143	−	1.39631i	−0.00865942	−	0.181784i	0.990394	−	0.138276i	$-0.0441562\pi$
$60$	2.67350	−	3.96259i	0.345147	−	0.511568i
$61$	−0.497275	−	5.20770i	−0.0636696	−	0.666778i	−0.969820	−	0.243822i	$-0.921599\pi$
$61$	−0.497275	−	5.20770i	−0.0636696	−	0.666778i	0.906150	−	0.422956i	$-0.139007\pi$
$62$	16.3503	+	10.5077i	2.07649	+	1.33448i
$63$	5.85783	−	5.35592i	0.738017	−	0.674782i
$64$	−6.07065	−	7.00590i	−0.758831	−	0.875737i
$65$	−2.29057	+	0.555687i	−0.284111	+	0.0689245i
$66$	6.55563	+	10.7198i	0.806943	+	1.31952i
$67$	7.36286	+	5.79021i	0.899516	+	0.707387i	0.956731	−	0.290975i	$-0.0939795\pi$
$67$	7.36286	+	5.79021i	0.899516	+	0.707387i	−0.0572146	+	0.998362i	$0.518222\pi$
$68$	−2.56738	−	4.44684i	−0.311341	−	0.539258i
$69$	1.30187	−	8.20397i	0.156726	−	0.987642i
$70$	4.34244	+	1.38842i	0.519021	+	0.165948i
$71$	0.417778	+	0.0600674i	0.0495811	+	0.00712869i	0.167061	−	0.985947i	$-0.446572\pi$
$71$	0.417778	+	0.0600674i	0.0495811	+	0.00712869i	−0.117480	+	0.993075i	$0.537481\pi$
$72$	10.7622	−	8.51465i	1.26833	−	1.00346i
$73$	−4.46926	−	4.68722i	−0.523087	−	0.548598i	0.408196	−	0.912894i	$-0.366158\pi$
$73$	−4.46926	−	4.68722i	−0.523087	−	0.548598i	−0.931283	+	0.364296i	$0.881310\pi$
$74$	−0.714592	−	3.70766i	−0.0830697	−	0.431006i
$75$	−0.913063	+	7.73273i	−0.105431	+	0.892898i
$76$	−4.48516	+	6.97905i	−0.514483	+	0.800552i
$77$	−5.32228	+	5.85399i	−0.606530	+	0.667124i
$78$	−13.9100	−	0.974364i	−1.57499	−	0.110325i
$79$	3.81724	+	1.96793i	0.429474	+	0.221409i	0.659389	−	0.751802i	$-0.270815\pi$
$79$	3.81724	+	1.96793i	0.429474	+	0.221409i	−0.229916	+	0.973210i	$0.573845\pi$
$80$	2.19341	+	0.878109i	0.245231	+	0.0981756i
$81$	−5.26342	−	7.30044i	−0.584824	−	0.811160i
$82$	−3.38168	+	6.55955i	−0.373445	+	0.724382i
$83$	11.3469	−	13.0950i	1.24549	−	1.43737i	0.388969	−	0.921251i	$-0.372831\pi$
$83$	11.3469	−	13.0950i	1.24549	−	1.43737i	0.856518	−	0.516117i	$-0.172623\pi$
$84$	14.5187	+	10.3080i	1.58412	+	1.12469i
$85$	−0.789628	−	0.507463i	−0.0856472	−	0.0550421i
$86$	−17.9184	+	18.7922i	−1.93219	+	2.02642i
$87$	−8.94144	+	9.86494i	−0.958623	+	1.05763i
$88$	−9.89997	+	9.43960i	−1.05534	+	1.00626i
$89$	0.521285	−	0.732043i	0.0552561	−	0.0775964i	−0.786023	−	0.618197i	$-0.787863\pi$
$89$	0.521285	−	0.732043i	0.0552561	−	0.0775964i	0.841280	+	0.540600i	$0.181803\pi$
$90$	2.13366	−	4.70855i	0.224907	−	0.496325i
$91$	−1.86575	−	8.57925i	−0.195584	−	0.899350i
$92$	18.6059	−	1.03104i	1.93980	−	0.107493i
$93$	12.7637	+	5.44361i	1.32354	+	0.564476i
$94$	8.38391	−	10.6610i	0.864734	−	1.09960i
$95$	−0.144153	+	1.50964i	−0.0147898	+	0.154886i
$96$	−1.44271	−	1.18765i	−0.147246	−	0.121214i
$97$	10.5336	−	9.12743i	1.06953	−	0.926750i	0.0720254	−	0.997403i	$-0.477054\pi$
$97$	10.5336	−	9.12743i	1.06953	−	0.926750i	0.997501	+	0.0706529i	$0.0225083\pi$
$98$	−5.55626	+	16.0474i	−0.561267	+	1.62103i
$99$	5.89467	+	6.76264i	0.592436	+	0.679671i
$100$	−17.3884	+	1.66039i	−1.73884	+	0.166039i
$101$	2.19739	+	6.34893i	0.218648	+	0.631743i	0.999971	+	0.00761537i	$0.00242407\pi$
$101$	2.19739	+	6.34893i	0.218648	+	0.631743i	−0.781323	+	0.624127i	$0.785455\pi$
$102$	−3.54177	−	4.27679i	−0.350688	−	0.423465i
$103$	−3.33955	−	4.24658i	−0.329055	−	0.418428i	0.593172	−	0.805076i	$-0.297875\pi$
$103$	−3.33955	−	4.24658i	−0.329055	−	0.418428i	−0.922227	+	0.386648i	$0.873633\pi$
$104$	−2.16031	−	15.0253i	−0.211836	−	1.47335i
$105$	3.22241	+	0.458692i	0.314475	+	0.0447638i
$106$	12.6920	−	14.6473i	1.23275	−	1.42267i
$107$	−0.276346	−	2.89402i	−0.0267153	−	0.279776i	−0.998952	−	0.0457750i	$-0.985424\pi$
$107$	−0.276346	−	2.89402i	−0.0267153	−	0.279776i	0.972236	−	0.234001i	$-0.0751818\pi$
$108$	13.5151	−	14.9991i	1.30049	−	1.44329i
$109$	−4.13125	+	17.0292i	−0.395702	+	1.63111i	0.330629	+	0.943761i	$0.392739\pi$
$109$	−4.13125	+	17.0292i	−0.395702	+	1.63111i	−0.726331	+	0.687345i	$0.758776\pi$
$110$	−1.68532	+	4.86942i	−0.160689	+	0.464281i
$111$	−0.945786	−	2.52444i	−0.0897700	−	0.239609i
$112$	−3.46492	+	8.09000i	−0.327405	+	0.764433i
$113$	−14.0853	−	2.02516i	−1.32503	−	0.190511i	−0.556782	−	0.830659i	$-0.687964\pi$
$113$	−14.0853	−	2.02516i	−1.32503	−	0.190511i	−0.768252	+	0.640148i	$0.778873\pi$
$114$	−3.51959	+	8.25243i	−0.329639	+	0.772911i
$115$	2.93670	−	1.72602i	0.273849	−	0.160952i
$116$	−25.8664	−	14.9340i	−2.40163	−	1.38658i
$117$	−9.90744	+	0.975371i	−0.915943	+	0.0901730i
$118$	3.08484	−	1.40880i	0.283982	−	0.129690i
$119$	1.95992	−	2.89540i	0.179665	−	0.265420i
$120$	5.50069	+	1.18816i	0.502142	+	0.108463i
$121$	1.48925	+	1.42000i	0.135386	+	0.129091i
$122$	11.2806	−	5.81555i	1.02130	−	0.526515i
$123$	−1.59695	+	5.02106i	−0.143992	+	0.452734i
$124$	−5.89111	+	30.5660i	−0.529037	+	2.74491i
$125$	−5.67378	+	3.64632i	−0.507478	+	0.326137i
$126$	17.3445	+	8.36399i	1.54517	+	0.745123i
$127$	−0.279497	−	1.94394i	−0.0248013	−	0.172497i	0.973656	−	0.228022i	$-0.0732258\pi$
$127$	−0.279497	−	1.94394i	−0.0248013	−	0.172497i	−0.998457	+	0.0555250i	$0.982317\pi$
$128$	9.31654	−	18.0716i	0.823474	−	1.59732i
$129$	−10.3683	+	15.3676i	−0.912875	+	1.35304i
$130$	−3.31685	−	4.65787i	−0.290907	−	0.408522i
$131$	0.245267	−	5.14879i	0.0214291	−	0.449852i	−0.962499	−	0.271286i	$-0.912551\pi$
$131$	0.245267	−	5.14879i	0.0214291	−	0.449852i	0.983928	−	0.178566i	$-0.0571458\pi$
$132$	−12.0369	+	16.1286i	−1.04767	+	1.40381i
$133$	−5.60894	−	0.670977i	−0.486357	−	0.0581811i
$134$	−6.40214	+	21.8037i	−0.553060	+	1.88355i
$135$	0.939536	−	3.56911i	0.0808623	−	0.307181i
$136$	3.73680	−	4.75172i	0.320428	−	0.407457i
$137$	−7.97650	−	4.60523i	−0.681478	−	0.393452i	0.118934	−	0.992902i	$-0.462052\pi$
$137$	−7.97650	−	4.60523i	−0.681478	−	0.393452i	−0.800412	+	0.599451i	$0.795386\pi$
$138$	19.6511	−	4.46507i	1.67281	−	0.380092i
$139$			16.9576i			1.43833i	0.694840	+	0.719164i	$0.255475\pi$
$139$			16.9576i			1.43833i	−0.694840	+	0.719164i	$0.744525\pi$
$140$	0.520459	+	7.28321i	0.0439868	+	0.615543i
$141$	4.62814	−	8.50543i	0.389760	−	0.716286i
$142$	0.241407	+	0.995094i	0.0202584	+	0.0835064i
$143$	9.74403	−	1.87801i	0.814837	−	0.157047i
$144$	8.65679	+	4.96421i	0.721399	+	0.413684i
$145$	−5.45366	−	0.259790i	−0.452902	−	0.0215744i
$146$	6.52698	−	14.2921i	0.540177	−	1.18282i
$147$	−1.99451	+	11.9592i	−0.164504	+	0.986376i
$148$	5.08751	−	3.26954i	0.418191	−	0.268755i
$149$	−2.13124	−	2.71010i	−0.174598	−	0.222020i	0.690876	−	0.722973i	$-0.257225\pi$
$149$	−2.13124	−	2.71010i	−0.174598	−	0.222020i	−0.865474	+	0.500954i	$0.832983\pi$
$150$	−18.2392	+	4.91585i	−1.48922	+	0.401377i
$151$	0.114148	+	2.39625i	0.00928921	+	0.195004i	0.998742	+	0.0501475i	$0.0159692\pi$
$151$	0.114148	+	2.39625i	0.00928921	+	0.195004i	−0.989453	+	0.144857i	$0.953728\pi$
$152$	−9.59020	−	1.84836i	−0.777868	−	0.149922i
$153$	−3.00378	−	2.58740i	−0.242841	−	0.209179i
$154$	−17.9834	−	6.70872i	−1.44915	−	0.540604i
$155$	1.60314	+	5.45978i	0.128767	+	0.438540i
$156$	−6.83129	−	21.2626i	−0.546941	−	1.70237i
$157$	−1.44344	−	1.51384i	−0.115199	−	0.120817i	0.663609	−	0.748080i	$-0.269024\pi$
$157$	−1.44344	−	1.51384i	−0.115199	−	0.120817i	−0.778808	+	0.627262i	$0.784175\pi$
$158$	−0.990380	+	10.3717i	−0.0787904	+	0.825130i
$159$	7.18447	−	11.8258i	0.569765	−	0.937850i
$160$		−	0.766299i		−	0.0605813i
$161$	6.16653	+	11.0894i	0.485991	+	0.873964i
$162$	11.6965	−	18.4370i	0.918964	−	1.44854i
$163$	−4.34498	+	1.73947i	−0.340325	+	0.136246i	−0.535529	−	0.844517i	$-0.679888\pi$
$163$	−4.34498	+	1.73947i	−0.340325	+	0.136246i	0.195203	+	0.980763i	$0.437463\pi$
$164$	−11.7663	−	1.12355i	−0.918795	−	0.0877343i
$165$	−0.604744	+	3.62880i	−0.0470793	+	0.282502i
$166$	39.7242	+	13.7487i	3.08319	+	1.06710i
$167$	16.2560	−	4.77318i	1.25792	−	0.369360i	0.416203	−	0.909272i	$-0.363361\pi$
$167$	16.2560	−	4.77318i	1.25792	−	0.369360i	0.841721	+	0.539912i	$0.181543\pi$
$168$	−4.91344	+	20.3784i	−0.379080	+	1.57223i
$169$	0.825810	−	1.80827i	0.0635239	−	0.139098i
$170$	0.430951	−	2.23599i	0.0330524	−	0.171492i
$171$	−1.49184	+	6.22913i	−0.114084	+	0.476353i
$172$	−38.6081	−	15.4564i	−2.94384	−	1.17854i
$173$	16.1084	−	12.6678i	1.22470	−	0.963117i	0.224766	−	0.974413i	$-0.427838\pi$
$173$	16.1084	−	12.6678i	1.22470	−	0.963117i	0.999936	+	0.0112961i	$0.00359573\pi$
$174$	−30.2803	−	11.2434i	−2.29554	−	0.852361i
$175$	−6.18982	−	10.1564i	−0.467907	−	0.767754i
$176$	−9.04820	−	4.13217i	−0.682033	−	0.311474i
$177$	2.00314	−	1.36005i	0.150565	−	0.102228i
$178$	2.11875	+	0.514004i	0.158807	+	0.0385262i
$179$	4.16333	+	21.6014i	0.311182	+	1.61457i	0.714588	+	0.699546i	$0.246614\pi$
$179$	4.16333	+	21.6014i	0.311182	+	1.61457i	−0.403406	+	0.915021i	$0.632174\pi$
$180$	8.27118	+	0.369700i	0.616498	+	0.0275558i
$181$	14.3827	−	6.56834i	1.06905	−	0.488221i	0.198403	−	0.980121i	$-0.436425\pi$
$181$	14.3827	−	6.56834i	1.06905	−	0.488221i	0.870652	+	0.491900i	$0.163697\pi$
$182$	17.6402	−	11.9377i	1.30758	−	0.884879i
$183$	7.24576	−	5.44071i	0.535622	−	0.402188i
$184$	9.26787	+	19.8841i	0.683237	+	1.46588i
$185$	0.552744	−	0.957380i	0.0406385	−	0.0703880i
$186$	−0.751773	+	33.6552i	−0.0551227	+	2.46772i
$187$	3.21902	+	2.29225i	0.235398	+	0.167626i
$188$	20.8424	+	6.11987i	1.52008	+	0.446337i
$189$	13.2075	+	3.81593i	0.960706	+	0.277568i
$190$	−3.53004	+	1.03651i	−0.256096	+	0.0751966i
$191$	6.36451	+	0.303179i	0.460520	+	0.0219373i	0.276560	−	0.960997i	$-0.410805\pi$
$191$	6.36451	+	0.303179i	0.460520	+	0.0219373i	0.183959	+	0.982934i	$0.441109\pi$
$192$	4.86651	−	15.3011i	0.351210	−	1.10426i
$193$	−8.79752	−	25.4188i	−0.633260	−	1.82968i	−0.553466	−	0.832872i	$-0.686695\pi$
$193$	−8.79752	−	25.4188i	−0.633260	−	1.82968i	−0.0797940	−	0.996811i	$-0.525426\pi$
$194$	30.0548	+	15.4943i	2.15781	+	1.11243i
$195$	−2.89097	−	2.88251i	−0.207027	−	0.206421i
$196$	−27.1682	+	1.29086i	−1.94058	+	0.0922043i
$197$	−4.05080	−	6.30318i	−0.288608	−	0.449083i	0.666429	−	0.745568i	$-0.267822\pi$
$197$	−4.05080	−	6.30318i	−0.288608	−	0.449083i	−0.955037	+	0.296485i	$0.904185\pi$
$198$	−9.91607	+	19.3738i	−0.704705	+	1.37683i
$199$	0.173000	−	0.123192i	0.0122636	−	0.00873288i	−0.573909	−	0.818919i	$-0.694574\pi$
$199$	0.173000	−	0.123192i	0.0122636	−	0.00873288i	0.586172	+	0.810186i	$0.300634\pi$
$200$	−9.42301	−	18.2781i	−0.666308	−	1.29246i
$201$	−1.90247	+	16.1120i	−0.134190	+	1.13645i
$202$	−12.3180	+	10.6736i	−0.866691	+	0.750992i
$203$	1.45211	−	20.2858i	0.101918	−	1.42378i
$204$	4.25083	−	7.81203i	0.297618	−	0.546951i
$205$	−2.00589	+	0.803037i	−0.140097	+	0.0560866i
$206$	6.55316	−	11.3504i	0.456580	−	0.790820i
$207$	13.2990	−	5.48978i	0.924342	−	0.381566i
$208$	9.55956	−	5.51921i	0.662836	−	0.382689i
$209$	0.908638	−	6.31972i	0.0628518	−	0.437144i
$210$	1.87243	+	7.67122i	0.129210	+	0.529364i
$211$	10.6026	+	3.11320i	0.729912	+	0.214322i	0.625513	−	0.780214i	$-0.284890\pi$
$211$	10.6026	+	3.11320i	0.729912	+	0.214322i	0.104399	+	0.994535i	$0.466708\pi$
$212$	29.3340	+	10.1526i	2.01466	+	0.697282i
$213$	0.288764	+	0.671606i	0.0197858	+	0.0460177i
$214$	6.26885	−	3.23181i	0.428529	−	0.220922i
$215$	−7.56768	+	0.722626i	−0.516112	+	0.0492827i
$216$	22.3068	+	8.20842i	1.51778	+	0.558512i
$217$	−20.4742	+	5.48470i	−1.38988	+	0.372325i
$218$	−42.0788	+	6.05002i	−2.84994	+	0.409759i
$219$	2.88742	−	10.8395i	0.195114	−	0.732469i
$220$	−8.24350	+	0.392686i	−0.555776	+	0.0264749i
$221$	−4.14415	+	1.43430i	−0.278765	+	0.0964817i
$222$	4.83285	−	4.40631i	0.324360	−	0.295732i
$223$	10.0609	−	15.6551i	0.673731	−	1.04835i	−0.321124	−	0.947037i	$-0.604061\pi$
$223$	10.0609	−	15.6551i	0.673731	−	1.04835i	0.994855	−	0.101309i	$-0.0323030\pi$
$224$	2.85362	+	0.0681029i	0.190666	+	0.00455031i
$225$	−12.2513	+	5.63845i	−0.816753	+	0.375897i
$226$	−8.13900	−	33.5494i	−0.541398	−	2.23167i
$227$	−1.78134	−	0.170097i	−0.118232	−	0.0112897i	0.0357725	−	0.999360i	$-0.488611\pi$
$227$	−1.78134	−	0.170097i	−0.118232	−	0.0112897i	−0.154004	+	0.988070i	$0.549217\pi$
$228$	−14.3655	−	0.320890i	−0.951380	−	0.0212515i
$229$	−12.4675	+	7.19814i	−0.823878	+	0.475666i	−0.851752	−	0.523945i	$-0.824460\pi$
$229$	−12.4675	+	7.19814i	−0.823878	+	0.475666i	0.0278738	+	0.999611i	$0.491126\pi$
$230$	6.53530	+	5.05785i	0.430925	+	0.333505i
$231$	−13.4596	−	2.57451i	−0.885574	−	0.169390i
$232$	5.00419	−	34.8049i	0.328541	−	2.28505i
$233$	−16.3468	−	11.6405i	−1.07091	−	0.762594i	−0.0983318	−	0.995154i	$-0.531351\pi$
$233$	−16.3468	−	11.6405i	−1.07091	−	0.762594i	−0.972582	+	0.232559i	$0.925290\pi$
$234$	−11.1299	−	21.4344i	−0.727584	−	1.40121i
$235$	3.89906	−	0.751483i	0.254347	−	0.0490213i
$236$	3.93101	+	3.74821i	0.255887	+	0.243988i
$237$	0.541539	+	7.41883i	0.0351767	+	0.481905i
$238$	8.28829	+	1.80354i	0.537250	+	0.116906i
$239$	−10.6103	−	9.19388i	−0.686324	−	0.594703i	0.240297	−	0.970699i	$-0.422755\pi$
$239$	−10.6103	−	9.19388i	−0.686324	−	0.594703i	−0.926621	+	0.375996i	$0.877300\pi$
$240$	0.684531	+	4.03458i	0.0441863	+	0.260431i
$241$	8.26231	−	20.6382i	0.532222	−	1.32943i	−0.381981	−	0.924170i	$-0.624758\pi$
$241$	8.26231	−	20.6382i	0.532222	−	1.32943i	0.914203	−	0.405256i	$-0.132818\pi$
$242$	−1.85537	+	4.63449i	−0.119268	+	0.297916i
$243$	6.03119	−	14.3744i	0.386901	−	0.922121i
$244$	15.3620	+	13.3112i	0.983450	+	0.852165i
$245$	−4.30613	+	2.48544i	−0.275108	+	0.158789i
$246$	−12.7485	+	0.930580i	−0.812816	+	0.0593316i
$247$	5.12780	+	4.88934i	0.326274	+	0.311102i
$248$	−35.9846	+	6.93547i	−2.28503	+	0.440403i
$249$	29.6034	+	4.93343i	1.87604	+	0.312644i
$250$	−13.3282	−	9.49095i	−0.842948	−	0.600260i
$251$	−2.13103	+	14.8216i	−0.134509	+	0.935534i	0.805064	+	0.593187i	$0.202131\pi$
$251$	−2.13103	+	14.8216i	−0.134509	+	0.935534i	−0.939574	+	0.342346i	$0.888778\pi$
$252$	−2.11180	+	30.7682i	−0.133031	+	1.93821i
$253$	−12.6957	+	6.67025i	−0.798170	+	0.419355i
$254$	4.12621	−	2.38227i	0.258901	−	0.149477i
$255$	0.0363064	−	1.62535i	0.00227359	−	0.101784i
$256$	30.6454	+	2.92628i	1.91534	+	0.182893i
$257$	−1.04233	−	4.29653i	−0.0650185	−	0.268010i	0.930019	−	0.367512i	$-0.119790\pi$
$257$	−1.04233	−	4.29653i	−0.0650185	−	0.268010i	−0.995037	+	0.0995018i	$0.968275\pi$
$258$	−43.9601	−	9.49544i	−2.73683	−	0.591160i
$259$	3.51606	+	2.14345i	0.218477	+	0.133187i
$260$	4.95135	−	7.70445i	0.307069	−	0.477809i
$261$	−22.6567	−	4.29786i	−1.40242	−	0.266031i
$262$	11.8174	−	4.09005i	0.730083	−	0.252684i
$263$	2.93583	−	0.139851i	0.181031	−	0.00862358i	0.0431295	−	0.999069i	$-0.486267\pi$
$263$	2.93583	−	0.139851i	0.181031	−	0.00862358i	0.137902	+	0.990446i	$0.455964\pi$
$264$	−22.8944	−	6.09857i	−1.40905	−	0.375341i
$265$	5.61656	−	0.807540i	0.345023	−	0.0496068i
$266$	−3.54615	−	13.2376i	−0.217428	−	0.811651i
$267$	1.55275	+	0.108767i	0.0950270	+	0.00665644i
$268$	−36.2306	+	3.45960i	−2.21314	+	0.211329i
$269$	−17.1732	+	8.85340i	−1.04707	+	0.539801i	−0.893838	−	0.448390i	$-0.851998\pi$
$269$	−17.1732	+	8.85340i	−1.04707	+	0.539801i	−0.153230	+	0.988191i	$0.548967\pi$
$270$	8.88562	−	1.10207i	0.540762	−	0.0670698i
$271$	−15.9338	−	5.51474i	−0.967909	−	0.334997i	−0.203031	−	0.979172i	$-0.565079\pi$
$271$	−15.9338	−	5.51474i	−0.967909	−	0.334997i	−0.764878	+	0.644176i	$0.777201\pi$
$272$	4.21777	+	1.23845i	0.255740	+	0.0750919i
$273$	10.9911	−	10.5095i	0.665211	−	0.636064i
$274$	3.17999	−	22.1173i	0.192110	−	1.33615i
$275$	11.6421	−	6.72160i	0.702048	−	0.405328i
$276$	18.3366	+	26.5612i	1.10373	+	1.59879i
$277$	10.6212	−	18.3964i	0.638164	−	1.10533i	−0.347672	−	0.937616i	$-0.613028\pi$
$277$	10.6212	−	18.3964i	0.638164	−	1.10533i	0.985835	−	0.167715i	$-0.0536390\pi$
$278$	−38.1926	+	15.2900i	−2.29064	+	0.917033i
$279$	3.49015	+	23.7793i	0.208950	+	1.42363i
$280$	−7.73243	+	3.75560i	−0.462101	+	0.224440i
$281$	17.8653	−	15.4804i	1.06576	−	0.923483i	0.0685100	−	0.997650i	$-0.478176\pi$
$281$	17.8653	−	15.4804i	1.06576	−	0.923483i	0.997246	+	0.0741678i	$0.0236301\pi$
$282$	23.3292	+	2.75466i	1.38923	+	0.164038i
$283$	−0.887824	−	1.72214i	−0.0527757	−	0.102370i	0.860973	−	0.508651i	$-0.169856\pi$
$283$	−0.887824	−	1.72214i	−0.0527757	−	0.102370i	−0.913748	+	0.406281i	$0.866825\pi$
$284$	−1.33590	+	0.951287i	−0.0792708	+	0.0564485i
$285$	−2.36097	+	1.15117i	−0.139852	+	0.0681895i
$286$	13.0155	+	20.2525i	0.769623	+	1.19756i
$287$	−2.81216	−	7.54110i	−0.165997	−	0.445137i
$288$	0.451223	−	3.20502i	0.0265886	−	0.188857i
$289$	13.5580	+	6.98962i	0.797527	+	0.411154i
$290$	−4.33223	−	12.5172i	−0.254397	−	0.735033i
$291$	23.0057	+	7.31697i	1.34862	+	0.428928i
$292$	25.1360	+	1.19738i	1.47097	+	0.0700712i
$293$	−17.8864	+	5.25192i	−1.04493	+	0.306820i	−0.758769	−	0.651360i	$-0.774199\pi$
$293$	−17.8864	+	5.25192i	−1.04493	+	0.306820i	−0.286165	+	0.958180i	$0.592381\pi$
$294$	−28.7332	+	6.29100i	−1.67576	+	0.366898i
$295$	0.952670	+	0.279729i	0.0554666	+	0.0162865i
$296$	5.79947	+	4.12979i	0.337088	+	0.240039i
$297$	−4.66608	+	14.8212i	−0.270754	+	0.860015i
$298$	4.18212	−	7.24364i	0.242264	−	0.419613i
$299$	2.14262	−	15.7698i	0.123911	−	0.911992i
$300$	−18.1664	−	24.1935i	−1.04884	−	1.39681i
$301$	−2.01843	−	28.2455i	−0.116340	−	1.62804i
$302$	−5.29401	+	2.41769i	−0.304636	+	0.139122i
$303$	−7.39580	+	8.98413i	−0.424878	+	0.516125i
$304$	−1.34409	−	6.97380i	−0.0770888	−	0.399975i
$305$	3.61099	+	0.876018i	0.206765	+	0.0501606i
$306$	3.11906	−	9.09816i	0.178305	−	0.520107i
$307$	8.15798	+	3.72563i	0.465601	+	0.212633i	0.634380	−	0.773021i	$-0.281255\pi$
$307$	8.15798	+	3.72563i	0.465601	+	0.212633i	−0.168780	+	0.985654i	$0.553983\pi$
$308$	−0.729704	−	30.7328i	−0.0415787	−	1.75117i
$309$	3.25716	−	8.77205i	0.185294	−	0.499025i
$310$	−10.8512	+	8.53350i	−0.616308	+	0.484670i
$311$	−24.7306	−	9.90062i	−1.40234	−	0.561413i	−0.457579	−	0.889169i	$-0.651283\pi$
$311$	−24.7306	−	9.90062i	−1.40234	−	0.561413i	−0.944762	+	0.327756i	$0.893707\pi$
$312$	20.2498	−	16.7697i	1.14642	−	0.949396i
$313$	−0.699425	+	3.62896i	−0.0395339	+	0.205121i	−0.996325	−	0.0856555i	$-0.972702\pi$
$313$	−0.699425	+	3.62896i	−0.0395339	+	0.205121i	0.956791	+	0.290777i	$0.0939137\pi$
$314$	2.10802	−	4.61593i	0.118963	−	0.260492i
$315$	2.23413	+	5.17607i	0.125879	+	0.291639i
$316$	−16.0112	+	4.70130i	−0.900698	+	0.264469i
$317$	0.491093	+	0.169969i	0.0275825	+	0.00954640i	0.340824	−	0.940127i	$-0.389294\pi$
$317$	0.491093	+	0.169969i	0.0275825	+	0.00954640i	−0.313242	+	0.949673i	$0.601415\pi$
$318$	33.1125	+	5.51823i	1.85686	+	0.309447i
$319$	22.8826	+	2.18502i	1.28118	+	0.122338i
$320$	6.11271	−	2.44716i	0.341711	−	0.136800i
$321$	4.02661	−	3.02351i	0.224744	−	0.168756i
$322$	−19.4157	+	23.8873i	−1.08200	+	1.33119i
$323$			2.82153i			0.156994i
$324$	34.3762	+	6.41661i	1.90979	+	0.356478i
$325$	−1.41806	+	14.8505i	−0.0786596	+	0.823760i
$326$	−7.83538	−	8.21751i	−0.433962	−	0.455126i
$327$	−28.8963	+	9.28386i	−1.59797	+	0.513399i
$328$	−3.92037	−	13.3516i	−0.216466	−	0.737217i
$329$	2.45193	+	14.5865i	0.135179	+	0.804180i
$330$	−8.71819	+	1.90992i	−0.479921	+	0.105137i
$331$	−17.1802	−	3.31122i	−0.944311	−	0.182001i	−0.306219	−	0.951961i	$-0.599064\pi$
$331$	−17.1802	−	3.31122i	−0.944311	−	0.182001i	−0.638092	+	0.769960i	$0.720276\pi$
$332$	3.20349	+	67.2495i	0.175814	+	3.69080i
$333$	2.87557	−	3.67873i	0.157580	−	0.201593i
$334$	25.4076	+	32.3085i	1.39024	+	1.76784i
$335$	−5.59692	+	3.59692i	−0.305792	+	0.196521i
$336$	−15.0852	+	2.19056i	−0.822965	+	0.119505i
$337$	−12.2306	+	26.7812i	−0.666241	+	1.45886i	0.210349	+	0.977626i	$0.432540\pi$
$337$	−12.2306	+	26.7812i	−0.666241	+	1.45886i	−0.876590	+	0.481238i	$0.840187\pi$
$338$	4.81725	+	0.229474i	0.262024	+	0.0124817i
$339$	−9.73564	−	22.6431i	−0.528767	−	1.22980i
$340$	3.58119	−	0.690219i	0.194218	−	0.0374324i
$341$	−5.64804	−	23.2816i	−0.305859	−	1.26077i
$342$	−15.3746	+	2.25657i	−0.831363	+	0.122021i
$343$	−8.87284	−	16.2565i	−0.479088	−	0.877767i
$344$		−	48.9595i		−	2.63972i
$345$	5.20417	+	2.77968i	0.280183	+	0.149653i
$346$	43.0552	+	24.8579i	2.31466	+	1.33637i
$347$	13.1206	−	16.6842i	0.704352	−	0.895657i	−0.293834	−	0.955856i	$-0.594931\pi$
$347$	13.1206	−	16.6842i	0.704352	−	0.895657i	0.998186	+	0.0601995i	$0.0191737\pi$
$348$	−1.30694	−	51.7162i	−0.0700596	−	2.77228i
$349$	9.51389	−	32.4013i	0.509267	−	1.73440i	−0.155961	−	0.987763i	$-0.549847\pi$
$349$	9.51389	−	32.4013i	0.509267	−	1.73440i	0.665228	−	0.746640i	$-0.268334\pi$
$350$	17.2936	−	23.0986i	0.924380	−	1.23467i
$351$	−10.3941	−	13.7583i	−0.554793	−	0.734362i
$352$	−0.153510	+	3.22257i	−0.00818211	+	0.171764i
$353$	17.0634	+	23.9623i	0.908196	+	1.27538i	0.960935	+	0.276774i	$0.0892653\pi$
$353$	17.0634	+	23.9623i	0.908196	+	1.27538i	−0.0527396	+	0.998608i	$0.516795\pi$
$354$	4.86929	+	3.28523i	0.258800	+	0.174608i
$355$	−0.137371	+	0.266463i	−0.00729092	+	0.0141424i
$356$	0.496944	+	3.45632i	0.0263380	+	0.183185i
$357$	6.04943	+	0.279650i	0.320170	+	0.0148007i
$358$	−44.8976	+	28.8539i	−2.37291	+	1.52498i
$359$	−0.983653	+	5.10368i	−0.0519152	+	0.269362i	−0.998606	−	0.0527817i	$-0.983191\pi$
$359$	−0.983653	+	5.10368i	−0.0519152	+	0.269362i	0.946691	+	0.322144i	$0.104403\pi$
$360$	3.21499	+	9.20172i	0.169445	+	0.484973i
$361$	−12.8360	+	6.61742i	−0.675579	+	0.348285i
$362$	27.7617	+	26.4707i	1.45912	+	1.39127i
$363$	−0.752496	+	3.48375i	−0.0394958	+	0.182850i
$364$	28.2505	+	19.1230i	1.48073	+	1.00232i
$365$	4.18437	−	1.91094i	0.219020	−	0.100023i
$366$	18.7869	+	11.4135i	0.982009	+	0.596593i
$367$	−6.46364	−	3.73178i	−0.337399	−	0.194797i	0.321722	−	0.946834i	$-0.395738\pi$
$367$	−6.46364	−	3.73178i	−0.337399	−	0.194797i	−0.659121	+	0.752037i	$0.729072\pi$
$368$	−10.9188	+	11.6306i	−0.569180	+	0.606288i
$369$	−8.86241	+	2.17753i	−0.461359	+	0.113358i
$370$	2.65463	+	0.381678i	0.138008	+	0.0198425i
$371$	2.50804	+	20.9873i	0.130211	+	1.08961i
$372$	−50.4891	+	18.9158i	−2.61774	+	0.980739i
$373$	−10.9075	+	31.5151i	−0.564768	+	1.63179i	0.194420	+	0.980918i	$0.437717\pi$
$373$	−10.9075	+	31.5151i	−0.564768	+	1.63179i	−0.759188	+	0.650871i	$0.774404\pi$
$374$	−2.26024	+	9.31682i	−0.116874	+	0.481761i
$375$	−10.5150	−	5.08885i	−0.542994	−	0.262787i
$376$	2.43088	+	25.4573i	0.125363	+	1.31286i
$377$	−16.7046	+	19.2781i	−0.860331	+	0.992875i
$378$	3.31431	+	33.1871i	0.170470	+	1.70696i
$379$	−1.85777	−	12.9210i	−0.0954270	−	0.663709i	−0.980247	−	0.197777i	$-0.936628\pi$
$379$	−1.85777	−	12.9210i	−0.0954270	−	0.663709i	0.884820	−	0.465933i	$-0.154281\pi$
$380$	−3.64248	−	4.63179i	−0.186855	−	0.237606i
$381$	2.61989	−	2.16963i	0.134221	−	0.111154i
$382$	5.05578	+	14.6077i	0.258676	+	0.747396i
$383$	−34.5229	+	3.29653i	−1.76404	+	0.168445i	−0.926089	−	0.377306i	$-0.876850\pi$
$383$	−34.5229	+	3.29653i	−1.76404	+	0.168445i	−0.837947	+	0.545751i	$0.816244\pi$
$384$	35.1221	−	2.56375i	1.79232	−	0.130831i
$385$	−2.69286	−	4.93231i	−0.137241	−	0.251374i
$386$	49.3167	−	42.7331i	2.51015	−	2.17506i
$387$	−32.0770	−	1.43376i	−1.63057	−	0.0728820i
$388$	−5.14792	+	53.9114i	−0.261346	+	2.73694i
$389$	−24.3216	+	30.9274i	−1.23315	+	1.56808i	−0.560359	+	0.828250i	$0.689337\pi$
$389$	−24.3216	+	30.9274i	−1.23315	+	1.56808i	−0.672794	+	0.739830i	$0.734906\pi$
$390$	3.88541	−	9.11018i	0.196745	−	0.461312i
$391$	5.13387	−	3.71617i	0.259631	−	0.187935i
$392$	−13.2983	−	29.1285i	−0.671664	−	1.47121i
$393$	7.82970	−	4.29026i	0.394956	−	0.216415i
$394$	10.5438	−	14.8067i	0.531188	−	0.745949i
$395$	−2.20767	+	2.10501i	−0.111080	+	0.105915i
$396$	−34.7093	−	3.21166i	−1.74421	−	0.161392i
$397$	4.42514	−	4.64095i	0.222091	−	0.232923i	−0.603257	−	0.797547i	$-0.706131\pi$
$397$	4.42514	−	4.64095i	0.222091	−	0.232923i	0.825348	+	0.564625i	$0.190979\pi$
$398$	0.433445	+	0.278558i	0.0217266	+	0.0139629i
$399$	−4.07702	−	8.89433i	−0.204106	−	0.445273i
$400$	9.79265	−	11.3013i	0.489632	−	0.565066i
$401$	−10.9060	+	21.1547i	−0.544620	+	1.05641i	0.442550	+	0.896744i	$0.354074\pi$
$401$	−10.9060	+	21.1547i	−0.544620	+	1.05641i	−0.987170	+	0.159671i	$0.948957\pi$
$402$	−38.0033	+	10.2427i	−1.89543	+	0.510859i
$403$	24.6809	+	9.88074i	1.22944	+	0.492195i
$404$	−23.2029	−	11.9619i	−1.15439	−	0.595128i
$405$	6.12288	−	1.83691i	0.304248	−	0.0912769i
$406$	46.9976	−	15.0204i	2.33245	−	0.745448i
$407$	−2.51628	+	3.91541i	−0.124727	+	0.194080i
$408$	10.3981	+	1.22778i	0.514782	+	0.0607843i
$409$	6.75242	+	35.0349i	0.333886	+	1.73236i	0.629449	+	0.777041i	$0.283280\pi$
$409$	6.75242	+	35.0349i	0.333886	+	1.73236i	−0.295564	+	0.955323i	$0.595507\pi$
$410$	−3.61726	−	3.79367i	−0.178644	−	0.187356i
$411$	−0.403027	−	15.9479i	−0.0198799	−	0.786652i
$412$	20.7777	+	2.98738i	1.02364	+	0.147177i
$413$	−1.12635	+	3.52279i	−0.0554240	+	0.173345i
$414$	24.3554	+	25.0025i	1.19700	+	1.22880i
$415$	6.15356	+	10.6583i	0.302067	+	0.523195i
$416$	−2.81422	−	2.21312i	−0.137978	−	0.108507i
$417$	−25.0573	+	15.3237i	−1.22706	+	0.750403i
$418$	15.0528	−	3.65176i	0.736255	−	0.178614i
$419$	−8.67652	−	10.0132i	−0.423876	−	0.489179i	0.503138	−	0.864206i	$-0.332179\pi$
$419$	−8.67652	−	10.0132i	−0.423876	−	0.489179i	−0.927014	+	0.375027i	$0.877633\pi$
$420$	−10.2917	+	7.35048i	−0.502182	+	0.358667i
$421$	31.4605	+	20.2184i	1.53329	+	0.985385i	0.989235	+	0.146334i	$0.0467474\pi$
$421$	31.4605	+	20.2184i	1.53329	+	0.985385i	0.544053	+	0.839051i	$0.316889\pi$
$422$	2.54826	+	26.6866i	0.124047	+	1.29908i
$423$	16.7502	−	0.847144i	0.814421	−	0.0411895i
$424$	1.73884	+	36.5027i	0.0844454	+	1.77273i
$425$	−4.66980	+	3.67238i	−0.226519	+	0.178136i
$426$	−1.25225	+	1.25592i	−0.0606716	+	0.0608497i
$427$	−3.58312	+	13.3691i	−0.173399	+	0.646977i
$428$	8.53695	+	7.39731i	0.412649	+	0.357563i
$429$	11.5802	+	12.7011i	0.559095	+	0.613217i
$430$	−8.45099	−	16.3926i	−0.407543	−	0.790523i
$431$	25.7022	+	6.23529i	1.23803	+	0.300343i	0.800760	−	0.598985i	$-0.204429\pi$
$431$	25.7022	+	6.23529i	1.23803	+	0.300343i	0.437273	+	0.899329i	$0.355944\pi$
$432$	0.487327	+	17.2775i	0.0234465	+	0.831266i
$433$	−2.02755	+	6.90521i	−0.0974380	+	0.331843i	−0.993757	−	0.111566i	$-0.964413\pi$
$433$	−2.02755	+	6.90521i	−0.0974380	+	0.331843i	0.896319	+	0.443410i	$0.146231\pi$
$434$	−30.8135	−	41.1673i	−1.47910	−	1.97609i
$435$	−4.54429	−	8.29332i	−0.217882	−	0.397634i
$436$	−34.0436	−	58.9652i	−1.63039	−	2.82392i
$437$	−9.13740	−	4.62128i	−0.437101	−	0.221066i
$438$	27.0167	−	3.27042i	1.29091	−	0.156267i
$439$	−13.6727	−	34.1527i	−0.652562	−	1.63002i	−0.770832	−	0.637039i	$-0.780159\pi$
$439$	−13.6727	−	34.1527i	−0.652562	−	1.63002i	0.118270	−	0.992981i	$-0.462265\pi$
$440$	−4.03612	−	8.83788i	−0.192415	−	0.421329i
$441$	−19.4737	+	7.85967i	−0.927320	+	0.374270i
$442$	−6.96699	−	8.04034i	−0.331386	−	0.382440i
$443$	1.90897	−	2.00207i	0.0906980	−	0.0951213i	−0.676821	−	0.736148i	$-0.736643\pi$
$443$	1.90897	−	2.00207i	0.0906980	−	0.0951213i	0.767519	+	0.641027i	$0.221491\pi$
$444$	9.42852	+	4.56302i	0.447458	+	0.216551i
$445$	0.370257	+	0.519953i	0.0175519	+	0.0246481i
$446$	44.3306	+	8.54402i	2.09911	+	0.404571i
$447$	2.07867	−	5.59818i	0.0983177	−	0.264785i
$448$	8.56972	+	22.9806i	0.404881	+	1.08573i
$449$	9.08750	−	1.30658i	0.428866	−	0.0616616i	0.0754976	−	0.997146i	$-0.475945\pi$
$449$	9.08750	−	1.30658i	0.428866	−	0.0616616i	0.353368	+	0.935484i	$0.385036\pi$
$450$	−23.7456	−	22.5088i	−1.11938	−	1.06108i
$451$	8.59638	−	2.97524i	0.404788	−	0.140098i
$452$	45.0395	−	32.0725i	2.11848	−	1.50856i
$453$	−3.43766	+	2.33403i	−0.161515	+	0.109662i
$454$	−1.22306	−	4.16536i	−0.0574010	−	0.195490i
$455$	6.19193	+	0.740718i	0.290282	+	0.0347254i
$456$	−5.93492	−	15.8412i	−0.277928	−	0.741830i
$457$	−5.53190	+	7.76846i	−0.258771	+	0.363393i	−0.923439	−	0.383746i	$-0.874634\pi$
$457$	−5.53190	+	7.76846i	−0.258771	+	0.363393i	0.664667	+	0.747139i	$0.268573\pi$
$458$	−27.4534	−	21.5896i	−1.28281	−	1.00881i
$459$	1.10891	−	6.77660i	0.0517597	−	0.316305i
$460$	−3.63026	+	12.7280i	−0.169262	+	0.593447i
$461$	11.9694			0.557472			0.278736	−	0.960368i	$-0.410085\pi$
$461$	11.9694			0.557472			0.278736	+	0.960368i	$0.410085\pi$
$462$	−6.33753	−	32.6354i	−0.294849	−	1.51834i
$463$	−9.22125	−	20.1917i	−0.428548	−	0.938389i	−0.993560	−	0.113306i	$-0.963856\pi$
$463$	−9.22125	−	20.1917i	−0.428548	−	0.938389i	0.565012	−	0.825082i	$-0.308871\pi$
$464$	24.8489	−	6.02828i	1.15358	−	0.279856i
$465$	−6.61894	+	7.30257i	−0.306946	+	0.338648i
$466$	11.4779	−	47.3126i	0.531704	−	2.19171i
$467$	0.686309	−	14.4074i	0.0317586	−	0.666695i	−0.925723	−	0.378201i	$-0.876543\pi$
$467$	0.686309	−	14.4074i	0.0317586	−	0.666695i	0.957482	−	0.288493i	$-0.0931543\pi$
$468$	25.2455	−	29.3080i	1.16697	−	1.35476i
$469$	−12.8972	−	21.1620i	−0.595535	−	0.977171i
$470$	5.20814	+	8.10402i	0.240234	+	0.373811i
$471$	0.932553	−	3.50086i	0.0429698	−	0.161311i
$472$	−2.37658	+	5.93641i	−0.109391	+	0.273246i
$473$	31.9697	−	1.52290i	1.46997	−	0.0700231i
$474$	−16.2207	+	7.90892i	−0.745039	+	0.363269i
$475$	8.73095	+	3.98729i	0.400603	+	0.182949i
$476$	2.25203	+	13.3973i	0.103222	+	0.614066i
$477$	23.9666	−	0.0702769i	1.09735	−	0.00321776i
$478$	11.1399	−	32.1866i	0.509527	−	1.47218i
$479$	−13.2977	+	12.6793i	−0.607588	+	0.579334i	−0.930134	−	0.367220i	$-0.880310\pi$
$479$	−13.2977	+	12.6793i	−0.607588	+	0.579334i	0.322547	+	0.946554i	$0.395461\pi$
$480$	1.13232	−	0.692462i	0.0516829	−	0.0316064i
$481$	−1.91960	−	4.79492i	−0.0875260	−	0.218629i
$482$	53.9319			2.45653
$483$	−10.8138	+	19.1328i	−0.492043	+	0.870571i
$484$	−7.99541			−0.363428
$485$	3.67939	+	9.19067i	0.167072	+	0.417327i
$486$	37.8127	+	0.622803i	1.71522	+	0.0282509i
$487$	−9.92875	+	9.46705i	−0.449915	+	0.428993i	−0.880854	−	0.473388i	$-0.843031\pi$
$487$	−9.92875	+	9.46705i	−0.449915	+	0.428993i	0.430939	+	0.902381i	$0.358182\pi$
$488$	−7.82683	+	22.6142i	−0.354304	+	1.02369i
$489$	−6.49663	−	4.84847i	−0.293788	−	0.219255i
$490$	−9.48046	−	7.45738i	−0.428283	−	0.336890i
$491$	−14.6840	−	6.70595i	−0.662679	−	0.302635i	0.0555357	−	0.998457i	$-0.482313\pi$
$491$	−14.6840	−	6.70595i	−0.662679	−	0.302635i	−0.718215	+	0.695821i	$0.755041\pi$
$492$	−8.97237	−	18.4017i	−0.404505	−	0.829613i
$493$	−10.1468	+	0.483351i	−0.456988	+	0.0217690i
$494$	−6.38843	+	15.9575i	−0.287429	+	0.717963i
$495$	−5.90855	+	2.38555i	−0.265569	+	0.107223i
$496$	−14.4075	−	22.4184i	−0.646914	−	1.00662i
$497$	−0.980074	−	0.535238i	−0.0439623	−	0.0240087i
$498$	15.5809	+	71.1220i	0.698197	+	3.18705i
$499$	−0.223543	+	4.69274i	−0.0100071	+	0.210076i	0.988326	+	0.152356i	$0.0486860\pi$
$499$	−0.223543	+	4.69274i	−0.0100071	+	0.210076i	−0.998333	+	0.0577197i	$0.981617\pi$
$500$	6.17826	−	25.4671i	0.276300	−	1.13892i
$501$	21.7427	+	19.7072i	0.971390	+	0.880455i
$502$	−35.3033	+	8.56448i	−1.57566	+	0.382252i
$503$	−14.7761	−	32.3553i	−0.658836	−	1.44265i	−0.883603	−	0.468237i	$-0.844889\pi$
$503$	−14.7761	−	32.3553i	−0.658836	−	1.44265i	0.224767	−	0.974413i	$-0.427838\pi$
$504$	−34.5520	+	11.1545i	−1.53907	+	0.496862i
$505$	−4.77195			−0.212349
$506$	−26.4701	−	22.5793i	−1.17674	−	1.00377i
$507$	3.41822	−	0.413782i	0.151808	−	0.0183767i
$508$	5.99834	+	4.71715i	0.266133	+	0.209289i
$509$	8.46430	−	11.8864i	0.375173	−	0.526857i	−0.583218	−	0.812316i	$-0.698207\pi$
$509$	8.46430	−	11.8864i	0.375173	−	0.526857i	0.958391	+	0.285459i	$0.0921459\pi$
$510$	3.69341	−	1.38374i	0.163547	−	0.0612732i
$511$	6.74426	+	15.7520i	0.298349	+	0.696827i
$512$	9.58481	+	32.6429i	0.423593	+	1.44262i
$513$	−10.5525	+	3.42450i	−0.465905	+	0.151196i
$514$	8.73696	−	6.22156i	0.385371	−	0.274421i
$515$	3.62616	−	1.25503i	0.159788	−	0.0553031i
$516$	−12.0490	−	71.0160i	−0.530429	−	3.12631i
$517$	−16.5475	+	2.37918i	−0.727760	+	0.104636i
$518$	−1.65725	+	9.85165i	−0.0728156	+	0.432857i
$519$	33.2748	+	12.3553i	1.46060	+	0.542338i
$520$	10.5870	+	2.04048i	0.464271	+	0.0894809i
$521$	11.9484	+	16.7792i	0.523470	+	0.735111i	0.988672	−	0.150094i	$-0.0479576\pi$
$521$	11.9484	+	16.7792i	0.523470	+	0.735111i	−0.465202	+	0.885205i	$0.654018\pi$
$522$	−10.7488	−	54.9035i	−0.470464	−	2.40306i
$523$	1.91267	−	2.00595i	0.0836352	−	0.0877140i	−0.680586	−	0.732668i	$-0.738275\pi$
$523$	1.91267	−	2.00595i	0.0836352	−	0.0877140i	0.764222	+	0.644954i	$0.223123\pi$
$524$	13.1159	+	15.1366i	0.572971	+	0.661244i
$525$	9.41419	−	18.3241i	0.410869	−	0.799731i
$526$	2.96210	+	6.48609i	0.129154	+	0.282807i
$527$	3.93480	+	9.82866i	0.171403	+	0.428143i
$528$	−2.07048	−	17.1040i	−0.0901059	−	0.744357i
$529$	3.62608	+	22.7124i	0.157656	+	0.987494i
$530$	6.88299	+	11.9217i	0.298978	+	0.517845i
$531$	3.81979	+	1.73092i	0.165765	+	0.0751155i
$532$	17.5720	−	13.1526i	0.761844	−	0.570237i
$533$	−2.84401	+	9.68581i	−0.123188	+	0.419539i
$534$	1.15508	+	3.59524i	0.0499854	+	0.155581i
$535$	2.00670	+	0.486820i	0.0867572	+	0.0210471i
$536$	−19.6339	−	38.0844i	−0.848053	−	1.64499i
$537$	−28.1570	+	25.6719i	−1.21507	+	1.10783i
$538$	−35.4243	−	30.6953i	−1.52725	−	1.32337i
$539$	18.6068	−	9.58958i	0.801450	−	0.413052i
$540$	6.92792	+	12.5559i	0.298130	+	0.540321i
$541$	3.85826	−	3.03417i	0.165879	−	0.130449i	−0.531769	−	0.846890i	$-0.678472\pi$
$541$	3.85826	−	3.03417i	0.165879	−	0.130449i	0.697648	+	0.716441i	$0.254230\pi$
$542$	−1.94636	−	40.8591i	−0.0836032	−	1.75505i
$543$	22.7025	+	15.3170i	0.974256	+	0.657315i
$544$	−0.135525	−	1.41928i	−0.00581058	−	0.0608511i
$545$	−10.4705	−	6.72899i	−0.448507	−	0.288238i
$546$	33.5801	+	15.2785i	1.43709	+	0.653860i
$547$	13.1456	+	15.1708i	0.562065	+	0.648657i	0.963651	−	0.267164i	$-0.0860865\pi$
$547$	13.1456	+	15.1708i	0.562065	+	0.648657i	−0.401586	+	0.915821i	$0.631541\pi$
$548$	34.7789	−	8.43727i	1.48568	−	0.360422i
$549$	14.5870	+	5.79019i	0.622558	+	0.247119i
$550$	25.6359	+	20.1603i	1.09312	+	0.859636i
$551$	8.20615	+	14.2135i	0.349594	+	0.605514i
$552$	−21.0067	+	31.6628i	−0.894106	+	1.34766i
$553$	−7.64266	−	8.40823i	−0.324999	−	0.357554i
$554$	51.0096	+	7.33408i	2.16719	+	0.311595i
$555$	1.91415	−	0.0483733i	0.0812511	−	0.00205333i
$556$	−45.4691	−	47.6866i	−1.92832	−	2.02236i
$557$	−5.03300	−	26.1137i	−0.213255	−	1.10647i	−0.917869	−	0.396883i	$-0.870092\pi$
$557$	−5.03300	−	26.1137i	−0.213255	−	1.10647i	0.704614	−	0.709591i	$-0.251120\pi$
$558$	−50.4097	+	29.3014i	−2.13401	+	1.24043i
$559$	−19.2021	+	29.8791i	−0.812164	+	1.26375i
$560$	−4.62517	−	4.20508i	−0.195449	−	0.177697i
$561$	−0.478283	+	6.82794i	−0.0201931	+	0.288276i
$562$	50.9739	+	26.2789i	2.15020	+	1.10851i
$563$	17.7362	+	7.10051i	0.747492	+	0.299251i	0.713960	−	0.700187i	$-0.246900\pi$
$563$	17.7362	+	7.10051i	0.747492	+	0.299251i	0.0335328	+	0.999438i	$0.489324\pi$
$564$	9.79109	+	36.3277i	0.412279	+	1.52967i
$565$	4.63145	−	8.98376i	0.194847	−	0.377950i
$566$	3.07814	−	3.55237i	0.129384	−	0.149317i
$567$	6.29632	+	22.9642i	0.264421	+	0.964407i
$568$	−1.62423	−	1.04383i	−0.0681510	−	0.0437980i
$569$	14.2002	−	14.8928i	0.595305	−	0.624338i	−0.355296	−	0.934754i	$-0.615620\pi$
$569$	14.2002	−	14.8928i	0.595305	−	0.624338i	0.950601	+	0.310416i	$0.100468\pi$
$570$	−4.72150	−	4.27950i	−0.197762	−	0.179249i
$571$	−2.46606	+	2.35139i	−0.103202	+	0.0984025i	−0.739924	−	0.672691i	$-0.765138\pi$
$571$	−2.46606	+	2.35139i	−0.103202	+	0.0984025i	0.636722	+	0.771093i	$0.280290\pi$
$572$	−22.3656	+	31.4082i	−0.935155	+	1.31324i
$573$	5.30326	+	9.67843i	0.221547	+	0.404322i
$574$	14.4487	−	13.1331i	0.603078	−	0.548167i
$575$	−4.24432	−	21.1378i	−0.177000	−	0.881507i
$576$	27.0071	−	6.63577i	1.12530	−	0.276490i
$577$	−23.6407	+	30.0616i	−0.984176	+	1.25148i	−0.0163493	+	0.999866i	$0.505204\pi$
$577$	−23.6407	+	30.0616i	−0.984176	+	1.25148i	−0.967827	+	0.251616i	$0.919038\pi$
$578$	−3.51760	+	36.8380i	−0.146313	+	1.53226i
$579$	29.6100	−	35.9691i	1.23055	−	1.49483i
$580$	16.0328	−	13.8925i	0.665727	−	0.576856i
$581$	−40.2373	+	21.9680i	−1.66932	+	0.911387i
$582$	4.26377	+	58.4117i	0.176739	+	2.42124i
$583$	−23.7815	+	2.27086i	−0.984929	+	0.0940493i
$584$	9.68959	+	27.9962i	0.400958	+	1.15849i
$585$	1.64690	−	6.87658i	0.0680911	−	0.284312i
$586$	−27.9560	−	35.5489i	−1.15485	−	1.46851i
$587$	5.44313	+	37.8578i	0.224662	+	1.56256i	0.720072	+	0.693899i	$0.244109\pi$
$587$	5.44313	+	37.8578i	0.224662	+	1.56256i	−0.495410	+	0.868659i	$0.664982\pi$
$588$	−26.4578	−	38.9784i	−1.09110	−	1.60744i
$589$	11.2014	−	12.9271i	0.461545	−	0.532652i
$590$	0.228967	+	2.39786i	0.00942644	+	0.0987181i
$591$	5.65335	−	11.6815i	0.232548	−	0.480511i
$592$	−1.22058	+	5.03131i	−0.0501656	+	0.206785i
$593$	−10.4377	+	30.1577i	−0.428624	+	1.23843i	0.499551	+	0.866284i	$0.333498\pi$
$593$	−10.4377	+	30.1577i	−0.428624	+	1.23843i	−0.928175	+	0.372143i	$0.878623\pi$
$594$	−37.5881	+	2.85458i	−1.54226	+	0.117125i
$595$	1.48812	+	1.98815i	0.0610069	+	0.0815060i
$596$	13.2600	+	1.90649i	0.543149	+	0.0780930i
$597$	0.338364	+	0.144309i	0.0138483	+	0.00590619i
$598$	37.4492	−	9.39331i	1.53141	−	0.384121i
$599$	19.5328	+	11.2772i	0.798087	+	0.460776i	0.842802	−	0.538224i	$-0.180905\pi$
$599$	19.5328	+	11.2772i	0.798087	+	0.460776i	−0.0447149	+	0.999000i	$0.514238\pi$
$600$	18.4934	−	30.4407i	0.754992	−	1.24274i
$601$	−39.0243	+	17.8218i	−1.59183	+	0.726966i	−0.997038	−	0.0769109i	$-0.975494\pi$
$601$	−39.0243	+	17.8218i	−1.59183	+	0.726966i	−0.594796	+	0.803877i	$0.702767\pi$
$602$	61.7955	−	30.0138i	2.51860	−	1.22327i
$603$	−25.5269	+	11.7483i	−1.03953	+	0.478428i
$604$	−6.74616	−	6.43245i	−0.274497	−	0.261733i
$605$	−1.29908	+	0.669725i	−0.0528153	+	0.0272282i
$606$	−26.9028	−	8.55645i	−1.09285	−	0.347582i
$607$	2.13891	−	11.0977i	0.0868156	−	0.450442i	−0.912343	−	0.409427i	$-0.865729\pi$
$607$	2.13891	−	11.0977i	0.0868156	−	0.450442i	0.999159	−	0.0410153i	$-0.0130592\pi$
$608$	−1.93783	+	1.24537i	−0.0785892	+	0.0505062i
$609$	31.2873	−	16.1854i	1.26783	−	0.655867i
$610$	1.28289	+	8.92267i	0.0519426	+	0.361268i
$611$	8.50096	−	16.4896i	0.343912	−	0.667096i
$612$	15.3846	−	0.778081i	0.621887	−	0.0314521i
$613$	−27.2528	−	38.2712i	−1.10073	−	1.54576i	−0.807641	−	0.589674i	$-0.799256\pi$
$613$	−27.2528	−	38.2712i	−1.10073	−	1.54576i	−0.293089	−	0.956085i	$-0.594683\pi$
$614$	−1.03527	+	21.7329i	−0.0417800	+	0.877070i
$615$	−2.99921	−	2.23833i	−0.120940	−	0.0902581i
$616$	33.2701	−	14.2447i	1.34049	−	0.573934i
$617$	−1.01130	+	3.44418i	−0.0407135	+	0.138657i	−0.977342	−	0.211668i	$-0.932111\pi$
$617$	−1.01130	+	3.44418i	−0.0407135	+	0.138657i	0.936628	+	0.350325i	$0.113929\pi$
$618$	22.6936	−	0.573500i	0.912869	−	0.0230695i
$619$	20.0166	−	25.4532i	0.804536	−	1.02305i	−0.194575	−	0.980888i	$-0.562333\pi$
$619$	20.0166	−	25.4532i	0.804536	−	1.02305i	0.999111	−	0.0421626i	$-0.0134248\pi$
$620$	−19.1477	−	11.0549i	−0.768990	−	0.443977i
$621$	20.1295	+	14.6903i	0.807767	+	0.589502i
$622$		−	64.6260i		−	2.59127i
$623$	−1.96916	+	1.33259i	−0.0788926	+	0.0533891i
$624$	16.7939	+	9.13821i	0.672293	+	0.365821i
$625$	4.16990	+	17.1885i	0.166796	+	0.687542i
$626$	−8.80392	+	1.69682i	−0.351875	+	0.0678184i
$627$	10.1594	−	4.36813i	0.405726	−	0.174446i
$628$	8.11820	+	0.386718i	0.323952	+	0.0154317i
$629$	0.854430	−	1.87094i	0.0340684	−	0.0745993i
$630$	−9.64330	+	9.69884i	−0.384198	+	0.386411i
$631$	−18.9390	+	12.1714i	−0.753950	+	0.484534i	−0.860296	−	0.509795i	$-0.829721\pi$
$631$	−18.9390	+	12.1714i	−0.753950	+	0.484534i	0.106346	+	0.994329i	$0.466085\pi$
$632$	−12.1439	−	15.4423i	−0.483060	−	0.614261i
$633$	4.98077	+	18.4801i	0.197968	+	0.734517i
$634$	0.0599883	+	1.25931i	0.00238244	+	0.0500136i
$635$	1.36973	+	0.263993i	0.0543560	+	0.0104763i
$636$	11.5056	+	52.5194i	0.456226	+	2.08253i
$637$	−3.30865	+	22.9923i	−0.131094	+	0.910987i
$638$	15.7111	+	53.5071i	0.622009	+	2.11837i
$639$	−0.731453	+	1.03358i	−0.0289358	+	0.0408879i
$640$	9.96554	+	10.4516i	0.393922	+	0.413134i
$641$	2.47122	−	25.8798i	0.0976074	−	1.02219i	−0.805448	−	0.592667i	$-0.798075\pi$
$641$	2.47122	−	25.8798i	0.0976074	−	1.02219i	0.903055	−	0.429524i	$-0.141319\pi$
$642$	10.4403	+	6.34270i	0.412045	+	0.250326i
$643$			38.9786i			1.53717i	0.639750	+	0.768583i	$0.279038\pi$
$643$			38.9786i			1.53717i	−0.639750	+	0.768583i	$0.720962\pi$
$644$	−47.0752	−	14.6499i	−1.85502	−	0.577287i
$645$	−7.90627	−	10.5293i	−0.311309	−	0.414592i
$646$	−6.35475	+	2.54406i	−0.250024	+	0.100095i
$647$	−4.40542	−	0.420666i	−0.173195	−	0.0165381i	0.00809831	−	0.999967i	$-0.497422\pi$
$647$	−4.40542	−	0.420666i	−0.173195	−	0.0165381i	−0.181293	+	0.983429i	$0.558028\pi$
$648$	8.02828	+	40.3789i	0.315381	+	1.58623i
$649$	−3.95029	−	1.36721i	−0.155062	−	0.0536676i
$650$	−34.7255	+	10.1963i	−1.36205	+	0.399933i
$651$	−26.6058	−	25.2973i	−1.04276	−	0.991478i
$652$	7.55444	−	16.5419i	0.295855	−	0.647832i
$653$	−0.722184	+	3.74705i	−0.0282612	+	0.146633i	−0.993318	−	0.115406i	$-0.963183\pi$
$653$	−0.722184	+	3.74705i	−0.0282612	+	0.146633i	0.965057	+	0.262040i	$0.0843951\pi$
$654$	−46.9640	−	56.7104i	−1.83644	−	2.21755i
$655$	3.39895	+	1.36073i	0.132808	+	0.0531683i
$656$	7.95397	−	6.25507i	0.310550	−	0.244219i
$657$	18.6262	−	5.52852i	0.726676	−	0.215688i
$658$	−30.6414	+	18.6744i	−1.19453	+	0.728002i
$659$	−26.5285	−	12.1151i	−1.03340	−	0.471939i	−0.174812	−	0.984602i	$-0.555932\pi$
$659$	−26.5285	−	12.1151i	−1.03340	−	0.471939i	−0.858590	+	0.512663i	$0.828659\pi$
$660$	−8.02944	−	11.8261i	−0.312545	−	0.460330i
$661$	−30.9027	−	7.49691i	−1.20197	−	0.291596i	−0.415717	−	0.909494i	$-0.636469\pi$
$661$	−30.9027	−	7.49691i	−1.20197	−	0.291596i	−0.786258	+	0.617898i	$0.787984\pi$
$662$	−8.03307	−	41.6795i	−0.312214	−	1.61992i
$663$	−5.86422	−	4.82747i	−0.227747	−	0.187483i
$664$	−72.0984	+	32.9263i	−2.79796	+	1.27779i
$665$	1.75337	−	3.60891i	0.0679929	−	0.139948i
$666$	10.8781	+	3.15949i	0.421519	+	0.122428i
$667$	15.0537	−	33.6516i	0.582883	−	1.30299i
$668$	−32.9149	+	57.0103i	−1.27352	+	2.20580i
$669$	32.2242	+	0.719809i	1.24586	+	0.0278294i
$670$	−13.1476	−	9.36238i	−0.507937	−	0.361700i
$671$	−15.0101	−	4.40736i	−0.579457	−	0.170144i
$672$	2.47803	+	4.27817i	0.0955919	+	0.165034i
$673$	−0.853372	+	0.250573i	−0.0328951	+	0.00965887i	−0.298139	−	0.954523i	$-0.596366\pi$
$673$	−0.853372	+	0.250573i	−0.0328951	+	0.00965887i	0.265244	+	0.964181i	$0.414548\pi$
$674$	−71.3453	−	3.39859i	−2.74812	−	0.130909i
$675$	−19.4024	−	13.0079i	−0.746800	−	0.500673i
$676$	2.52632	+	7.29932i	0.0971661	+	0.280743i
$677$	−11.1815	−	5.76448i	−0.429741	−	0.221547i	0.229765	−	0.973246i	$-0.426204\pi$
$677$	−11.1815	−	5.76448i	−0.429741	−	0.221547i	−0.659506	+	0.751699i	$0.729234\pi$
$678$	42.2193	−	42.3433i	1.62142	−	1.62618i
$679$	−34.5521	+	12.8849i	−1.32599	+	0.494476i
$680$	2.32132	+	3.61205i	0.0890186	+	0.138516i
$681$	−1.35835	−	2.78589i	−0.0520522	−	0.106755i
$682$	47.3429	−	33.7127i	1.81285	−	1.29093i
$683$	5.40950	+	10.4930i	0.206989	+	0.401502i	0.969362	−	0.245635i	$-0.0789964\pi$
$683$	5.40950	+	10.4930i	0.206989	+	0.401502i	−0.762374	+	0.647137i	$0.775966\pi$
$684$	−12.5072	−	21.5171i	−0.478223	−	0.822726i
$685$	4.94410	−	4.28409i	0.188904	−	0.163686i
$686$	28.6131	−	34.6415i	1.09245	−	1.32262i
$687$	−21.9025	−	11.9180i	−0.835632	−	0.454700i
$688$	33.0521	−	13.2321i	1.26010	−	0.504467i
$689$	13.2553	−	22.9589i	0.504988	−	0.874666i
$690$	−1.56811	+	14.2273i	−0.0596971	+	0.541625i
$691$	−23.3195	+	13.4635i	−0.887115	+	0.512176i	−0.872998	−	0.487724i	$-0.837827\pi$
$691$	−23.3195	+	13.4635i	−0.887115	+	0.512176i	−0.0141175	+	0.999900i	$0.504494\pi$
$692$	−11.3319	+	78.8154i	−0.430776	+	2.99611i
$693$	−8.35845	−	22.2148i	−0.317511	−	0.843872i
$694$	49.4071	+	14.5072i	1.87547	+	0.550688i
$695$	−11.3822	−	3.93941i	−0.431750	−	0.149430i
$696$	55.9512	−	24.0568i	2.12083	−	0.911872i
$697$	−3.57313	+	1.84208i	−0.135342	+	0.0697737i
$698$	81.5537	−	7.78743i	3.08685	−	0.294759i
$699$	2.42881	−	34.6736i	0.0918661	−	1.31148i
$700$	44.6392	+	11.9640i	1.68720	+	0.452195i
$701$	−40.6763	+	5.84837i	−1.53632	+	0.220890i	−0.857914	−	0.513794i	$-0.828240\pi$
$701$	−40.6763	+	5.84837i	−1.53632	+	0.220890i	−0.678410	+	0.734684i	$0.737331\pi$
$702$	21.6150	−	35.8151i	0.815804	−	1.35175i
$703$	−3.31933	+	0.158119i	−0.125191	+	0.00596359i
$704$	−26.1964	+	9.06667i	−0.987315	+	0.341713i
$705$	4.63379	+	5.08235i	0.174519	+	0.191412i
$706$	−38.5832	+	60.0366i	−1.45210	+	2.25951i
$707$	0.424095	−	17.7703i	0.0159497	−	0.668320i
$708$	−1.98628	+	9.19568i	−0.0746490	+	0.345595i
$709$	−0.179826	−	0.741253i	−0.00675351	−	0.0278384i	0.968335	−	0.249654i	$-0.0803169\pi$
$709$	−0.179826	−	0.741253i	−0.00675351	−	0.0278384i	−0.975089	+	0.221816i	$0.928802\pi$
$710$	−0.724000	−	0.0691336i	−0.0271712	−	0.00259454i
$711$	−10.4730	+	7.50418i	−0.392769	+	0.281429i
$712$	−3.56014	+	2.05545i	−0.133422	+	0.0770311i
$713$	−38.2743	−	3.35532i	−1.43338	−	0.125658i
$714$	4.82468	+	13.8769i	0.180559	+	0.519329i
$715$	−1.00308	+	6.97659i	−0.0375131	+	0.260910i
$716$	−69.6284	−	49.5822i	−2.60214	−	1.85297i
$717$	3.99733	−	23.9862i	0.149283	−	0.895782i
$718$	−12.3816	+	2.38636i	−0.462077	+	0.0890581i
$719$	0.442680	+	0.422095i	0.0165092	+	0.0157415i	0.698289	−	0.715816i	$-0.253945\pi$
$719$	0.442680	+	0.422095i	0.0165092	+	0.0157415i	−0.681780	+	0.731558i	$0.738794\pi$
$720$	−5.34309	+	4.65731i	−0.199125	+	0.173568i
$721$	4.35133	+	13.6150i	0.162052	+	0.507049i
$722$	−26.4777	−	22.9430i	−0.985397	−	0.853851i
$723$	37.9621	−	6.44089i	1.41183	−	0.239539i
$724$	−22.8336	+	57.0356i	−0.848604	+	2.11971i
$725$	−12.8434	+	32.0813i	−0.476992	+	1.19147i
$726$	−8.52472	+	1.44636i	−0.316382	+	0.0536793i
$727$	18.0565	+	15.6461i	0.669680	+	0.580281i	0.921918	−	0.387384i	$-0.126621\pi$
$727$	18.0565	+	15.6461i	0.669680	+	0.580281i	−0.252239	+	0.967665i	$0.581167\pi$
$728$	−8.53943	+	39.2436i	−0.316492	+	1.45446i
$729$	26.6903	−	4.07745i	0.988531	−	0.151017i
$730$	8.07675	+	7.70116i	0.298934	+	0.285033i
$731$	−13.8885	+	2.67678i	−0.513684	+	0.0990044i
$732$	−5.78748	+	34.7281i	−0.213911	+	1.28359i
$733$	−15.7114	−	11.1880i	−0.580314	−	0.413240i	0.251852	−	0.967766i	$-0.418960\pi$
$733$	−15.7114	−	11.1880i	−0.580314	−	0.413240i	−0.832167	+	0.554526i	$0.812900\pi$
$734$	2.57685	−	17.9224i	0.0951134	−	0.661528i
$735$	−7.56380	−	4.11696i	−0.278995	−	0.151856i
$736$	4.81824	+	1.88569i	0.177603	+	0.0695076i
$737$	24.2577	−	14.0052i	0.893543	−	0.515887i
$738$	−12.8952	−	17.9968i	−0.474678	−	0.662473i
$739$	−26.6231	−	2.54220i	−0.979348	−	0.0935164i	−0.406913	−	0.913467i	$-0.633395\pi$
$739$	−26.6231	−	2.54220i	−0.979348	−	0.0935164i	−0.572435	+	0.819950i	$0.694001\pi$
$740$	1.01268	+	4.17434i	0.0372270	+	0.153452i
$741$	−2.59100	+	11.9953i	−0.0951827	+	0.440657i
$742$	−45.0069	+	24.5721i	−1.65225	+	0.902069i
$743$	10.9546	−	17.0457i	0.401886	−	0.625347i	−0.580045	−	0.814584i	$-0.696965\pi$
$743$	10.9546	−	17.0457i	0.401886	−	0.625347i	0.981931	+	0.189237i	$0.0606016\pi$
$744$	−42.7654	−	46.9052i	−1.56786	−	1.71963i
$745$	2.31416	−	0.800937i	0.0847841	−	0.0293441i
$746$	−80.8142	+	3.84965i	−2.95882	+	0.140946i
$747$	19.4611	+	48.2013i	0.712043	+	1.76359i
$748$	−15.1985	+	2.18522i	−0.555713	+	0.0798994i
$749$	−1.99121	+	7.42948i	−0.0727572	+	0.271467i
$750$	1.98031	−	28.2707i	0.0723105	−	1.03230i
$751$	5.73447	−	0.547576i	0.209254	−	0.0199813i	0.0100974	−	0.999949i	$-0.496786\pi$
$751$	5.73447	−	0.547576i	0.209254	−	0.0199813i	0.199157	+	0.979968i	$0.436180\pi$
$752$	−16.5290	+	8.52129i	−0.602751	+	0.310740i
$753$	−23.8268	+	10.2446i	−0.868296	+	0.373334i
$754$	−58.4808	−	20.2404i	−2.12974	−	0.737111i
$755$	−1.63491	−	0.480054i	−0.0595006	−	0.0174709i
$756$	−47.3727	+	24.6830i	−1.72293	+	0.897712i
$757$	0.504598	−	3.50956i	0.0183399	−	0.127557i	−0.978595	−	0.205798i	$-0.934021\pi$
$757$	0.504598	−	3.50956i	0.0183399	−	0.127557i	0.996935	+	0.0782406i	$0.0249302\pi$
$758$	27.4261	−	15.8345i	0.996163	−	0.575135i
$759$	−21.3286	−	12.7321i	−0.774179	−	0.462147i
$760$	3.46853	−	6.00767i	0.125817	−	0.217921i
$761$	44.7770	−	17.9260i	1.62317	−	0.649817i	0.631119	−	0.775686i	$-0.282596\pi$
$761$	44.7770	−	17.9260i	1.62317	−	0.649817i	0.992047	+	0.125869i	$0.0401719\pi$
$762$	7.24876	+	3.94434i	0.262595	+	0.142888i
$763$	25.9886	−	38.3931i	0.940851	−	1.38992i
$764$	−18.7106	+	16.2128i	−0.676925	+	0.586559i
$765$	2.43450	−	1.41509i	0.0880195	−	0.0511628i
$766$	−38.5524	−	74.7812i	−1.39295	−	2.70196i
$767$	3.77867	−	2.69078i	0.136440	−	0.0971585i
$768$	23.3686	+	47.9273i	0.843240	+	1.72943i
$769$	9.49971	+	14.7818i	0.342568	+	0.533047i	0.969202	−	0.246267i	$-0.0792041\pi$
$769$	9.49971	+	14.7818i	0.342568	+	0.533047i	−0.626634	+	0.779314i	$0.715568\pi$
$770$	8.68069	−	10.5122i	0.312830	−	0.378834i
$771$	5.40684	−	5.42271i	0.194722	−	0.195294i
$772$	92.8958	+	47.8911i	3.34339	+	1.72364i
$773$	−2.73343	−	7.89773i	−0.0983147	−	0.284062i	0.885109	−	0.465384i	$-0.154084\pi$
$773$	−2.73343	−	7.89773i	−0.0983147	−	0.284062i	−0.983424	+	0.181322i	$0.941962\pi$
$774$	−25.6934	−	73.5377i	−0.923529	−	2.64326i
$775$	35.9743	+	1.71367i	1.29224	+	0.0615568i
$776$	−61.1747	+	17.9625i	−2.19605	+	0.644817i
$777$	0.0100224	+	7.13240i	0.000359552	+	0.255873i
$778$	−91.5855	−	26.8919i	−3.28350	−	0.964122i
$779$	5.29064	+	3.76745i	0.189557	+	0.134983i
$780$	15.8587	+	0.354243i	0.567832	+	0.0126839i
$781$	0.631077	−	1.09306i	0.0225817	−	0.0391127i
$782$	12.9987	+	8.21195i	0.464832	+	0.293659i
$783$	−14.1229	−	37.3623i	−0.504712	−	1.33522i
$784$	16.0703	−	16.8500i	0.573940	−	0.601784i
$785$	1.35143	−	0.617177i	0.0482346	−	0.0220280i
$786$	16.7224	+	13.7660i	0.596467	+	0.491016i
$787$	−7.70656	−	39.9855i	−0.274709	−	1.42533i	−0.812850	−	0.582473i	$-0.802085\pi$
$787$	−7.70656	−	39.9855i	−0.274709	−	1.42533i	0.538141	−	0.842855i	$-0.319127\pi$
$788$	28.2922	+	6.86361i	1.00787	+	0.244506i
$789$	2.85960	+	4.21174i	0.101804	+	0.149942i
$790$	−6.73155	−	3.07420i	−0.239498	−	0.109375i
$791$	33.0430	+	18.0455i	1.17487	+	0.641623i
$792$	−11.6769	−	39.3407i	−0.414920	−	1.39791i
$793$	13.6460	−	10.7313i	0.484582	−	0.381079i
$794$	14.4425	+	5.78189i	0.512544	+	0.205192i
$795$	6.26863	+	7.56954i	0.222325	+	0.268464i
$796$	−0.156172	+	0.810300i	−0.00553539	+	0.0287203i
$797$	13.3237	−	29.1749i	0.471951	−	1.03343i	−0.512648	−	0.858599i	$-0.671335\pi$
$797$	13.3237	−	29.1749i	0.471951	−	1.03343i	0.984599	−	0.174829i	$-0.0559374\pi$
$798$	16.3560	−	17.2020i	0.578997	−	0.608946i
$799$	7.08864	−	2.08141i	0.250778	−	0.0736351i
$800$	−4.58334	−	1.58631i	−0.162045	−	0.0560845i
$801$	1.24242	+	2.39270i	0.0438987	+	0.0845420i
$802$	−57.4788	−	5.48856i	−2.02965	−	0.193808i
$803$	−17.9796	+	7.19796i	−0.634487	+	0.254010i
$804$	−37.8516	−	50.4096i	−1.33492	−	1.77781i
$805$	−8.87585	+	1.56289i	−0.312833	+	0.0550847i
$806$			64.4962i			2.27178i
$807$	−28.6006	−	17.3755i	−1.00679	−	0.611647i
$808$	2.92132	−	30.5935i	0.102772	−	1.07627i
$809$	−5.03998	−	5.28578i	−0.177196	−	0.185838i	0.629146	−	0.777287i	$-0.283405\pi$
$809$	−5.03998	−	5.28578i	−0.177196	−	0.185838i	−0.806343	+	0.591449i	$0.798556\pi$
$810$	9.65790	+	12.1339i	0.339344	+	0.426342i
$811$	−11.6019	−	39.5123i	−0.407397	−	1.38747i	−0.866542	−	0.499105i	$-0.833662\pi$
$811$	−11.6019	−	39.5123i	−0.407397	−	1.38747i	0.459145	−	0.888361i	$-0.348156\pi$
$812$	50.3095	+	60.9393i	1.76552	+	2.13855i
$813$	−6.24967	−	28.5278i	−0.219185	−	1.00051i
$814$	−11.0872	−	2.13689i	−0.388608	−	0.0748980i
$815$	−0.158175	−	3.32050i	−0.00554062	−	0.116312i
$816$	1.98138	+	7.35147i	0.0693620	+	0.257353i
$817$	14.1261	+	17.9628i	0.494211	+	0.628440i
$818$	−72.8184	+	46.7976i	−2.54604	+	1.63624i
$819$	25.4613	+	6.74405i	0.889691	+	0.235656i
$820$	3.48756	−	7.63669i	0.121791	−	0.266685i
$821$	−1.86176	−	0.0886864i	−0.0649758	−	0.00309518i	0.0150689	−	0.999886i	$-0.495203\pi$
$821$	−1.86176	−	0.0886864i	−0.0649758	−	0.00309518i	−0.0800446	+	0.996791i	$0.525506\pi$
$822$	35.5550	−	15.2873i	1.24012	−	0.533205i
$823$	−12.3924	+	2.38845i	−0.431973	+	0.0832560i	−0.400603	−	0.916252i	$-0.631199\pi$
$823$	−12.3924	+	2.38845i	−0.431973	+	0.0832560i	−0.0313703	+	0.999508i	$0.509987\pi$
$824$	5.82621	+	24.0160i	0.202966	+	0.836636i
$825$	20.4525	+	11.1290i	0.712064	+	0.387462i
$826$	−8.94972	+	0.639548i	−0.311401	+	0.0222527i
$827$		−	2.33813i		−	0.0813049i	−0.999173	−	0.0406524i	$-0.987056\pi$
$827$		−	2.33813i		−	0.0813049i	0.999173	−	0.0406524i	$-0.0129436\pi$
$828$	−22.6781	+	51.0968i	−0.788119	+	1.77574i
$829$	30.4452	+	17.5775i	1.05740	+	0.610493i	0.924713	−	0.380665i	$-0.124305\pi$
$829$	30.4452	+	17.5775i	1.05740	+	0.610493i	0.132691	+	0.991157i	$0.457638\pi$
$830$	−18.4565	+	23.4694i	−0.640636	+	0.814635i
$831$	36.7810	−	0.929510i	1.27592	−	0.0322444i
$832$	8.66678	−	29.5163i	0.300467	−	1.02330i
$833$	−7.53591	+	5.36491i	−0.261104	+	0.185883i
$834$	−57.1057	−	42.6183i	−1.97741	−	1.47575i
$835$	−0.572585	+	12.0200i	−0.0198151	+	0.415971i
$836$	14.3901	+	20.2081i	0.497692	+	0.698910i
$837$	−31.9835	+	26.6452i	−1.10551	+	0.920994i
$838$	14.7289	−	28.5701i	0.508801	−	0.986937i
$839$	3.27815	+	22.8000i	0.113174	+	0.787144i	0.964798	+	0.262991i	$0.0847089\pi$
$839$	3.27815	+	22.8000i	0.113174	+	0.787144i	−0.851624	+	0.524153i	$0.824382\pi$
$840$	−12.5368	−	8.03204i	−0.432561	−	0.277132i
$841$	−25.3123	+	16.2672i	−0.872839	+	0.560939i
$842$	−17.1700	+	89.0864i	−0.591717	+	3.07012i
$843$	39.0184	+	12.4098i	1.34386	+	0.427416i
$844$	−38.1631	+	19.6744i	−1.31363	+	0.677222i
$845$	1.02189	+	0.974371i	0.0351541	+	0.0335194i
$846$	17.0109	+	36.9615i	0.584847	+	1.27076i
$847$	−2.37853	−	4.89718i	−0.0817274	−	0.168269i
$848$	−24.1727	+	11.0393i	−0.830093	+	0.379091i
$849$	1.74243	−	2.86809i	0.0598000	−	0.0984325i
$850$	−12.4816	−	7.20627i	−0.428116	−	0.247173i
$851$	4.65952	+	5.83138i	0.159726	+	0.199897i
$852$	−2.61284	−	1.11435i	−0.0895143	−	0.0381770i
$853$	39.8603	+	5.73105i	1.36479	+	0.196227i	0.785484	−	0.618882i	$-0.212414\pi$
$853$	39.8603	+	5.73105i	1.36479	+	0.196227i	0.579307	+	0.815110i	$0.303323\pi$
$854$	−33.3411	+	3.98436i	−1.14091	+	0.136342i
$855$	−3.83450	−	2.44842i	−0.131137	−	0.0837343i
$856$	−4.34952	+	12.5671i	−0.148664	+	0.429535i
$857$	−11.4499	+	47.1973i	−0.391123	+	1.61223i	0.347206	+	0.937789i	$0.387130\pi$
$857$	−11.4499	+	47.1973i	−0.391123	+	1.61223i	−0.738329	+	0.674441i	$0.764385\pi$
$858$	−18.1646	+	37.5333i	−0.620129	+	1.28137i
$859$	−2.68110	−	28.0778i	−0.0914780	−	0.958001i	−0.918392	−	0.395673i	$-0.870512\pi$
$859$	−2.68110	−	28.0778i	−0.0914780	−	0.958001i	0.826914	−	0.562329i	$-0.190095\pi$
$860$	19.3435	−	22.3236i	0.659608	−	0.761228i
$861$	8.60186	−	10.9698i	0.293150	−	0.373851i
$862$	9.13129	+	63.5095i	0.311013	+	2.16314i
$863$	3.61753	+	4.60007i	0.123142	+	0.156588i	0.843715	−	0.536791i	$-0.180364\pi$
$863$	3.61753	+	4.60007i	0.123142	+	0.156588i	−0.720573	+	0.693379i	$0.756121\pi$
$864$	5.14361	−	2.22945i	0.174989	−	0.0758473i
$865$	4.76066	+	13.7550i	0.161867	+	0.467685i
$866$	−17.3803	+	1.65962i	−0.590607	+	0.0563962i
$867$	1.92342	+	26.3500i	0.0653228	+	0.894891i
$868$	42.8691	−	70.3216i	1.45507	−	2.38687i
$869$	9.70578	−	8.41010i	0.329246	−	0.285293i
$870$	14.5811	−	17.7125i	0.494345	−	0.600512i
$871$	−2.95467	+	30.9427i	−0.100115	+	1.04845i
$872$	49.5501	−	63.0081i	1.67798	−	2.13372i
$873$	9.97711	+	40.6062i	0.337674	+	1.37431i
$874$	2.16939	−	24.7464i	0.0733808	−	0.837059i
$875$	17.4365	−	3.79197i	0.589463	−	0.128192i
$876$	20.9447	+	38.2241i	0.707657	+	1.29147i
$877$	14.6893	−	20.6282i	0.496021	−	0.696564i	−0.488355	−	0.872645i	$-0.662403\pi$
$877$	14.6893	−	20.6282i	0.496021	−	0.696564i	0.984376	+	0.176081i	$0.0563422\pi$
$878$	64.5918	−	61.5882i	2.17987	−	2.07850i
$879$	−23.9234	−	21.6838i	−0.806916	−	0.731378i
$880$	4.87554	−	5.11332i	0.164354	−	0.172370i
$881$	41.9020	+	26.9287i	1.41171	+	0.907253i	0.999992	−	0.00405742i	$-0.00129152\pi$
$881$	41.9020	+	26.9287i	1.41171	+	0.907253i	0.411721	+	0.911310i	$0.364928\pi$
$882$	−35.2605	−	36.7726i	−1.18728	−	1.23820i
$883$	4.35290	−	5.02351i	0.146487	−	0.169055i	−0.677764	−	0.735279i	$-0.737051\pi$
$883$	4.35290	−	5.02351i	0.146487	−	0.169055i	0.824251	+	0.566225i	$0.191597\pi$
$884$	7.80792	−	15.1453i	0.262609	−	0.509390i
$885$	0.447535	+	1.66048i	0.0150437	+	0.0558165i
$886$	6.23037	+	2.49427i	0.209314	+	0.0837965i
$887$	10.1708	+	5.24340i	0.341502	+	0.176056i	0.620442	−	0.784252i	$-0.286953\pi$
$887$	10.1708	+	5.24340i	0.341502	+	0.176056i	−0.278941	+	0.960308i	$0.589983\pi$
$888$	−0.861688	+	12.3014i	−0.0289164	+	0.412808i
$889$	−1.10482	+	5.07727i	−0.0370543	+	0.170286i
$890$	−0.837211	+	1.30273i	−0.0280634	+	0.0436674i
$891$	−26.1170	+	6.49832i	−0.874951	+	0.217702i
$892$	13.6843	+	71.0006i	0.458183	+	2.37728i
$893$	−8.23699	−	8.63871i	−0.275640	−	0.289083i
$894$	14.4827	−	0.365998i	0.484373	−	0.0122408i
$895$	−15.4663	−	2.22372i	−0.516982	−	0.0743308i
$896$	−39.8062	+	36.1818i	−1.32983	+	1.20875i
$897$	25.2383	−	11.0843i	0.842683	−	0.370093i
$898$	11.1366	+	19.2891i	0.371632	+	0.643685i
$899$	48.4073	+	38.0679i	1.61447	+	1.26964i
$900$	19.3333	−	48.7057i	0.644444	−	1.62352i
$901$	10.2597	−	2.48899i	0.341802	−	0.0829202i
$902$	14.4519	+	16.6784i	0.481196	+	0.555330i
$903$	39.9128	−	28.5064i	1.32822	−	0.948633i
$904$	54.7605	+	35.1924i	1.82131	+	1.17048i
$905$	1.06753	+	11.1797i	0.0354860	+	0.371626i
$906$	−8.35638	−	5.63791i	−0.277622	−	0.187307i
$907$	−0.381404	−	8.00666i	−0.0126643	−	0.265857i	−0.996315	−	0.0857697i	$-0.972665\pi$
$907$	−0.381404	−	8.00666i	−0.0126643	−	0.265857i	0.983651	−	0.180087i	$-0.0576380\pi$
$908$	5.46539	−	4.29803i	0.181375	−	0.142635i
$909$	−19.9585	−	2.80989i	−0.661982	−	0.0931982i
$910$	3.91473	+	14.6135i	0.129772	+	0.484434i
$911$	−7.13641	−	6.18374i	−0.236440	−	0.204876i	0.528579	−	0.848884i	$-0.322725\pi$
$911$	−7.13641	−	6.18374i	−0.236440	−	0.204876i	−0.765019	+	0.644008i	$0.777270\pi$
$912$	9.09020	−	8.28792i	0.301007	−	0.274440i
$913$	−23.7429	−	46.0547i	−0.785774	−	1.52419i
$914$	−22.4843	−	5.45463i	−0.743714	−	0.180423i
$915$	1.96861	+	6.12737i	0.0650803	+	0.202564i
$916$	15.7594	−	53.6715i	0.520705	−	1.77336i
$917$	−5.36931	+	12.5364i	−0.177310	+	0.413989i
$918$	16.2624	−	3.61264i	0.536738	−	0.119235i
$919$	−3.11219	−	5.39048i	−0.102662	−	0.177815i	0.810119	−	0.586266i	$-0.199403\pi$
$919$	−3.11219	−	5.39048i	−0.102662	−	0.177815i	−0.912781	+	0.408450i	$0.866069\pi$
$920$	−15.4995	+	1.60146i	−0.511002	+	0.0527985i
$921$	1.86677	+	15.4212i	0.0615121	+	0.508146i
$922$	10.7923	+	26.9580i	0.355427	+	0.887813i
$923$	0.581843	+	1.27406i	0.0191516	+	0.0419361i
$924$	44.7528	−	28.8498i	1.47226	−	0.949088i
$925$	−4.58199	−	5.28789i	−0.150655	−	0.173865i
$926$	37.1621	−	38.9744i	1.22122	−	1.28078i
$927$	15.9053	−	3.11389i	0.522398	−	0.102274i
$928$	−4.81054	−	6.75546i	−0.157914	−	0.221759i
$929$	2.63865	+	0.508558i	0.0865713	+	0.0166853i	0.232353	−	0.972632i	$-0.425358\pi$
$929$	2.63865	+	0.508558i	0.0865713	+	0.0166853i	−0.145782	+	0.989317i	$0.546570\pi$
$930$	−22.4151	−	8.32299i	−0.735021	−	0.272922i
$931$	13.2834	+	6.85012i	0.435346	+	0.224503i
$932$	77.1809	−	11.0969i	2.52815	−	0.363492i
$933$	−7.71804	−	45.4896i	−0.252677	−	1.48926i
$934$	33.0676	−	11.4448i	1.08201	−	0.374486i
$935$	−2.28639	+	1.62813i	−0.0747731	+	0.0532457i
$936$	43.0782	+	14.7682i	1.40806	+	0.482714i
$937$	−4.75792	−	16.2040i	−0.155434	−	0.529361i	0.844547	−	0.535482i	$-0.179870\pi$
$937$	−4.75792	−	16.2040i	−0.155434	−	0.529361i	−0.999981	+	0.00612070i	$0.998052\pi$
$938$	36.0330	−	48.1283i	1.17652	−	1.57145i
$939$	−5.99434	+	2.24579i	−0.195618	+	0.0732886i
$940$	−8.94959	+	12.5679i	−0.291903	+	0.409921i
$941$	−34.7032	−	27.2909i	−1.13129	−	0.889658i	−0.136405	−	0.990653i	$-0.543555\pi$
$941$	−34.7032	−	27.2909i	−1.13129	−	0.889658i	−0.994887	+	0.100996i	$0.967797\pi$
$942$	8.72560	−	1.05625i	0.284295	−	0.0344145i
$943$	−0.113184	−	14.5885i	−0.00368578	−	0.475067i
$944$	−4.64992			−0.151342
$945$	−5.62952	+	7.97857i	−0.183128	+	0.259543i
$946$	32.2556	+	70.6300i	1.04872	+	2.29638i
$947$	−13.6302	+	3.30665i	−0.442921	+	0.107452i	−0.451016	−	0.892516i	$-0.648938\pi$
$947$	−13.6302	+	3.30665i	−0.442921	+	0.107452i	0.00809506	+	0.999967i	$0.497423\pi$
$948$	−21.4152	−	19.4105i	−0.695534	−	0.630422i
$949$	5.06687	−	20.8859i	0.164477	−	0.677985i
$950$	−1.10798	+	23.2593i	−0.0359475	+	0.754632i
$951$	0.192620	+	0.879251i	0.00624612	+	0.0285117i
$952$	−13.6572	+	8.32336i	−0.442632	+	0.269762i
$953$	10.7709	+	16.7599i	0.348904	+	0.542906i	0.970706	−	0.240269i	$-0.0772356\pi$
$953$	10.7709	+	16.7599i	0.348904	+	0.542906i	−0.621802	+	0.783174i	$0.713599\pi$
$954$	21.7679	+	53.9149i	0.704763	+	1.74556i
$955$	−1.68203	+	4.20150i	−0.0544292	+	0.135957i
$956$	54.4892	−	2.59564i	1.76231	−	0.0839489i
$957$	17.4490	+	35.7868i	0.564048	+	1.15682i
$958$	−40.5468	−	18.5171i	−1.31001	−	0.598261i
$959$	15.5141	+	18.7921i	0.500977	+	0.606827i
$960$	9.13974	+	6.82104i	0.294984	+	0.220148i
$961$	10.8527	−	31.3569i	0.350088	−	1.01151i
$962$	9.06846	−	8.64676i	0.292379	−	0.278783i
$963$	8.10628	+	3.21772i	0.261221	+	0.103690i
$964$	32.1036	+	80.1909i	1.03399	+	2.58277i
$965$	19.1051			0.615016
$966$	−52.8418	−	7.10391i	−1.70016	−	0.228565i
$967$	−32.4547			−1.04367			−0.521837	−	0.853045i	$-0.674753\pi$
$967$	−32.4547			−1.04367			−0.521837	+	0.853045i	$0.674753\pi$
$968$	−3.49839	−	8.73856i	−0.112443	−	0.280868i
$969$	−4.16922	+	2.54966i	−0.133935	+	0.0819069i
$970$	−17.3820	+	16.5737i	−0.558102	+	0.532149i
$971$	11.8043	−	34.1064i	0.378819	−	1.09453i	−0.580999	−	0.813904i	$-0.697338\pi$
$971$	11.8043	−	34.1064i	0.378819	−	1.09453i	0.959818	−	0.280622i	$-0.0905407\pi$
$972$	21.5824	+	56.5941i	0.692255	+	1.81526i
$973$	15.6815	−	42.0359i	0.502726	−	1.34761i
$974$	−30.2744	−	13.8258i	−0.970053	−	0.443008i
$975$	−23.2252	+	11.3242i	−0.743802	+	0.362666i
$976$	−17.3819	+	0.828002i	−0.556381	+	0.0265037i
$977$	19.8105	−	49.4842i	0.633793	−	1.58314i	−0.168165	−	0.985759i	$-0.553784\pi$
$977$	19.8105	−	49.4842i	0.633793	−	1.58314i	0.801958	−	0.597380i	$-0.203792\pi$
$978$	5.06215	−	19.0036i	0.161870	−	0.607668i
$979$	−1.45291	−	2.26077i	−0.0464351	−	0.0722544i
$980$	5.44496	−	18.5355i	0.173933	−	0.592094i
$981$	−39.8302	−	34.3091i	−1.27168	−	1.09541i
$982$	1.86343	−	39.1183i	0.0594645	−	1.24831i
$983$	4.67832	−	19.2843i	0.149215	−	0.615074i	−0.847259	−	0.531179i	$-0.821749\pi$
$983$	4.67832	−	19.2843i	0.149215	−	0.615074i	0.996475	−	0.0838943i	$-0.0267358\pi$
$984$	16.1862	−	17.8580i	0.515998	−	0.569291i
$985$	5.17180	−	1.25467i	0.164787	−	0.0399770i
$986$	−10.2376	−	22.4171i	−0.326030	−	0.713907i
$987$	−19.3380	+	16.8041i	−0.615534	+	0.534880i
$988$	−27.5299			−0.875842
$989$	14.0788	−	49.3614i	0.447679	−	1.56960i
$990$	−10.7003	−	11.1565i	−0.340078	−	0.354576i
$991$	16.2915	+	12.8118i	0.517517	+	0.406980i	0.842464	−	0.538752i	$-0.181104\pi$
$991$	16.2915	+	12.8118i	0.517517	+	0.406980i	−0.324947	+	0.945732i	$0.605347\pi$
$992$	−5.01358	+	7.04058i	−0.159181	+	0.223539i
$993$	−10.6320	−	28.3784i	−0.337397	−	0.900562i
$994$	0.321790	−	2.68996i	0.0102066	−	0.0853203i
$995$	0.0424989	+	0.144738i	0.00134731	+	0.00458850i
$996$	−96.4759	+	65.5032i	−3.05696	+	2.07555i
$997$	−28.0663	+	19.9860i	−0.888870	+	0.632962i	−0.930548	−	0.366170i	$-0.880669\pi$
$997$	−28.0663	+	19.9860i	−0.888870	+	0.632962i	0.0416780	+	0.999131i	$0.486730\pi$
$998$	−10.7707	+	3.72777i	−0.340940	+	0.118001i
$999$	8.03433	+	0.924797i	0.254195	+	0.0292593i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bb.a.353.54	yes	1200
3.2	odd	2	inner	483.2.bb.a.353.7	yes	1200
7.5	odd	6	inner	483.2.bb.a.215.54	yes	1200
21.5	even	6	inner	483.2.bb.a.215.7	yes	1200
23.3	even	11	inner	483.2.bb.a.164.7	yes	1200
69.26	odd	22	inner	483.2.bb.a.164.54	yes	1200
161.26	odd	66	inner	483.2.bb.a.26.7	✓	1200
483.26	even	66	inner	483.2.bb.a.26.54	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bb.a.26.7	✓	1200	161.26	odd	66	inner
483.2.bb.a.26.54	yes	1200	483.26	even	66	inner
483.2.bb.a.164.7	yes	1200	23.3	even	11	inner
483.2.bb.a.164.54	yes	1200	69.26	odd	22	inner
483.2.bb.a.215.7	yes	1200	21.5	even	6	inner
483.2.bb.a.215.54	yes	1200	7.5	odd	6	inner
483.2.bb.a.353.7	yes	1200	3.2	odd	2	inner
483.2.bb.a.353.54	yes	1200	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bb (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.901659 + 2.25223i) q^{2} +(0.903644 + 1.47764i) q^{3} +(-2.81210 + 2.68133i) q^{4} +(-0.232309 + 0.671212i) q^{5} +(-2.51322 + 3.36755i) q^{6} +(-2.47888 - 0.924746i) q^{7} +(-4.16099 - 1.90026i) q^{8} +(-1.36685 + 2.67053i) q^{9} +O(q^{10})\)	\(q+(0.901659 + 2.25223i) q^{2} +(0.903644 + 1.47764i) q^{3} +(-2.81210 + 2.68133i) q^{4} +(-0.232309 + 0.671212i) q^{5} +(-2.51322 + 3.36755i) q^{6} +(-2.47888 - 0.924746i) q^{7} +(-4.16099 - 1.90026i) q^{8} +(-1.36685 + 2.67053i) q^{9} +(-1.72119 + 0.0819904i) q^{10} +(1.11141 - 2.77616i) q^{11} +(-6.50319 - 1.73231i) q^{12} +(1.79409 + 2.79165i) q^{13} +(-0.152358 - 6.41682i) q^{14} +(-1.20174 + 0.263268i) q^{15} +(0.158276 - 3.32262i) q^{16} +(-0.311556 + 1.28425i) q^{17} +(-7.24709 - 0.670574i) q^{18} +(2.07491 - 0.503368i) q^{19} +(-1.14647 - 2.51041i) q^{20} +(-0.873580 - 4.49854i) q^{21} +7.25466 q^{22} +(-3.64870 - 3.11239i) q^{23} +(-0.952148 - 7.86561i) q^{24} +(3.53371 + 2.77894i) q^{25} +(-4.66981 + 6.55782i) q^{26} +(-5.18123 + 0.393482i) q^{27} +(9.45042 - 4.04622i) q^{28} +(2.16566 + 7.37555i) q^{29} +(-1.67650 - 2.46921i) q^{30} +(6.52586 - 4.64704i) q^{31} +(-1.01954 + 0.352865i) q^{32} +(5.10648 - 0.866398i) q^{33} +(-3.17335 + 0.456259i) q^{34} +(1.19657 - 1.44903i) q^{35} +(-3.31684 - 11.1748i) q^{36} +(-1.52829 - 0.294554i) q^{37} +(3.00456 + 4.21932i) q^{38} +(-2.50385 + 5.17368i) q^{39} +(2.24211 - 2.35146i) q^{40} +(1.99209 + 2.29899i) q^{41} +(9.34409 - 6.02365i) q^{42} +(4.44619 + 9.73581i) q^{43} +(4.31842 + 10.7869i) q^{44} +(-1.47496 - 1.53784i) q^{45} +(3.71994 - 11.0240i) q^{46} +(-2.79526 - 4.84154i) q^{47} +(5.05266 - 2.76859i) q^{48} +(5.28969 + 4.58467i) q^{49} +(-3.07262 + 10.4644i) q^{50} +(-2.17920 + 0.700138i) q^{51} +(-12.5305 - 3.03987i) q^{52} +(-3.66072 - 7.10081i) q^{53} +(-5.55792 - 11.3146i) q^{54} +(1.60520 + 1.39091i) q^{55} +(8.55733 + 8.55838i) q^{56} +(2.61878 + 2.61111i) q^{57} +(-14.6588 + 11.5278i) q^{58} +(-0.0665143 - 1.39631i) q^{59} +(2.67350 - 3.96259i) q^{60} +(-0.497275 - 5.20770i) q^{61} +(16.3503 + 10.5077i) q^{62} +(5.85783 - 5.35592i) q^{63} +(-6.07065 - 7.00590i) q^{64} +(-2.29057 + 0.555687i) q^{65} +(6.55563 + 10.7198i) q^{66} +(7.36286 + 5.79021i) q^{67} +(-2.56738 - 4.44684i) q^{68} +(1.30187 - 8.20397i) q^{69} +(4.34244 + 1.38842i) q^{70} +(0.417778 + 0.0600674i) q^{71} +(10.7622 - 8.51465i) q^{72} +(-4.46926 - 4.68722i) q^{73} +(-0.714592 - 3.70766i) q^{74} +(-0.913063 + 7.73273i) q^{75} +(-4.48516 + 6.97905i) q^{76} +(-5.32228 + 5.85399i) q^{77} +(-13.9100 - 0.974364i) q^{78} +(3.81724 + 1.96793i) q^{79} +(2.19341 + 0.878109i) q^{80} +(-5.26342 - 7.30044i) q^{81} +(-3.38168 + 6.55955i) q^{82} +(11.3469 - 13.0950i) q^{83} +(14.5187 + 10.3080i) q^{84} +(-0.789628 - 0.507463i) q^{85} +(-17.9184 + 18.7922i) q^{86} +(-8.94144 + 9.86494i) q^{87} +(-9.89997 + 9.43960i) q^{88} +(0.521285 - 0.732043i) q^{89} +(2.13366 - 4.70855i) q^{90} +(-1.86575 - 8.57925i) q^{91} +(18.6059 - 1.03104i) q^{92} +(12.7637 + 5.44361i) q^{93} +(8.38391 - 10.6610i) q^{94} +(-0.144153 + 1.50964i) q^{95} +(-1.44271 - 1.18765i) q^{96} +(10.5336 - 9.12743i) q^{97} +(-5.55626 + 16.0474i) q^{98} +(5.89467 + 6.76264i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Introduction

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