LMFDB - Embedded newform 189.2.w.a.184.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [189,2,Mod(25,189)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(189, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([10, 12]))

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

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

chi := DirichletCharacter("189.25");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 189 = 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	189.w (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.50917259820$
Analytic rank:	$0$
Dimension:	$132$
Relative dimension:	$22$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			184.16
Character	$\chi$	$=$	189.184
Dual form			189.2.w.a.151.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.278319 + 1.57843i) q^{2} +(1.72991 + 0.0861840i) q^{3} +(-0.534587 + 0.194574i) q^{4} +(0.620906 - 3.52133i) q^{5} +(0.345431 + 2.75452i) q^{6} +(-2.64260 + 0.129178i) q^{7} +(1.14687 + 1.98644i) q^{8} +(2.98514 + 0.298180i) q^{9} +O(q^{10})$	\(q+(0.278319 + 1.57843i) q^{2} +(1.72991 + 0.0861840i) q^{3} +(-0.534587 + 0.194574i) q^{4} +(0.620906 - 3.52133i) q^{5} +(0.345431 + 2.75452i) q^{6} +(-2.64260 + 0.129178i) q^{7} +(1.14687 + 1.98644i) q^{8} +(2.98514 + 0.298180i) q^{9} +5.73098 q^{10} +(0.628218 + 3.56280i) q^{11} +(-0.941553 + 0.290521i) q^{12} +(-2.67039 - 2.24072i) q^{13} +(-0.939383 - 4.13519i) q^{14} +(1.37759 - 6.03806i) q^{15} +(-3.68785 + 3.09448i) q^{16} -3.16107 q^{17} +(0.360168 + 4.79482i) q^{18} -5.61311 q^{19} +(0.353230 + 2.00327i) q^{20} +(-4.58257 - 0.00428421i) q^{21} +(-5.44878 + 1.98319i) q^{22} +(3.87585 + 3.25222i) q^{23} +(1.81278 + 3.53519i) q^{24} +(-7.31579 - 2.66273i) q^{25} +(2.79359 - 4.83865i) q^{26} +(5.13832 + 0.773095i) q^{27} +(1.38756 - 0.583236i) q^{28} +(3.31696 - 2.78326i) q^{29} +(9.91405 + 0.493919i) q^{30} +(-2.14316 + 0.780048i) q^{31} +(-2.39659 - 2.01098i) q^{32} +(0.779702 + 6.21745i) q^{33} +(-0.879788 - 4.98952i) q^{34} +(-1.18593 + 9.38566i) q^{35} +(-1.65384 + 0.421427i) q^{36} +(-1.40224 - 2.42875i) q^{37} +(-1.56224 - 8.85989i) q^{38} +(-4.42640 - 4.10638i) q^{39} +(7.70701 - 2.80512i) q^{40} +(-4.02326 - 3.37591i) q^{41} +(-1.26866 - 7.23445i) q^{42} +(-0.399770 - 0.145504i) q^{43} +(-1.02906 - 1.78239i) q^{44} +(2.90349 - 10.3265i) q^{45} +(-4.05468 + 7.02290i) q^{46} +(6.52045 + 2.37325i) q^{47} +(-6.64633 + 5.03532i) q^{48} +(6.96663 - 0.682729i) q^{49} +(2.16680 - 12.2885i) q^{50} +(-5.46836 - 0.272434i) q^{51} +(1.86354 + 0.678272i) q^{52} +(0.278724 + 0.482764i) q^{53} +(0.209819 + 8.32563i) q^{54} +12.9359 q^{55} +(-3.28732 - 5.10121i) q^{56} +(-9.71016 - 0.483761i) q^{57} +(5.31635 + 4.46095i) q^{58} +(-2.38062 - 1.99758i) q^{59} +(0.438405 + 3.49591i) q^{60} +(11.8642 + 4.31823i) q^{61} +(-1.82773 - 3.16573i) q^{62} +(-7.92705 - 0.402356i) q^{63} +(-2.30699 + 3.99582i) q^{64} +(-9.54838 + 8.01204i) q^{65} +(-9.59680 + 2.96114i) q^{66} +(0.0689510 - 0.391040i) q^{67} +(1.68987 - 0.615061i) q^{68} +(6.42456 + 5.96008i) q^{69} +(-15.1447 + 0.740315i) q^{70} +(5.93160 - 10.2738i) q^{71} +(2.83126 + 6.27178i) q^{72} +(0.767543 - 1.32942i) q^{73} +(3.44333 - 2.88930i) q^{74} +(-12.4261 - 5.23678i) q^{75} +(3.00070 - 1.09216i) q^{76} +(-2.12036 - 9.33390i) q^{77} +(5.24967 - 8.12964i) q^{78} +(-2.83470 - 16.0764i) q^{79} +(8.60687 + 14.9075i) q^{80} +(8.82218 + 1.78022i) q^{81} +(4.20888 - 7.29000i) q^{82} +(-9.89194 + 8.30032i) q^{83} +(2.45062 - 0.889358i) q^{84} +(-1.96273 + 11.1312i) q^{85} +(0.118404 - 0.671504i) q^{86} +(5.97790 - 4.52891i) q^{87} +(-6.35681 + 5.33399i) q^{88} +11.4030 q^{89} +(17.1078 + 1.70886i) q^{90} +(7.34620 + 5.57636i) q^{91} +(-2.70477 - 0.984457i) q^{92} +(-3.77470 + 1.16470i) q^{93} +(-1.93123 + 10.9526i) q^{94} +(-3.48522 + 19.7656i) q^{95} +(-3.97256 - 3.68535i) q^{96} +(-5.58531 - 2.03289i) q^{97} +(3.01659 + 10.8063i) q^{98} +(0.812965 + 10.8228i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} + 3 q^{9}+O(q^{10}) $ 132 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 18 * q^6 - 6 * q^7 - 6 * q^8 + 3 * q^9	\( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} + 3 q^{9} - 6 q^{10} + 3 q^{11} - 3 q^{12} - 12 q^{13} + 15 q^{14} - 9 q^{16} - 54 q^{17} - 3 q^{18} - 6 q^{19} - 18 q^{20} - 21 q^{21} - 12 q^{22} + 45 q^{24} - 3 q^{25} + 30 q^{26} - 12 q^{27} - 12 q^{28} - 30 q^{29} - 57 q^{30} - 3 q^{31} + 51 q^{32} + 15 q^{33} - 18 q^{34} - 12 q^{35} - 60 q^{36} + 3 q^{37} - 57 q^{38} - 66 q^{39} - 66 q^{40} + 33 q^{42} - 12 q^{43} + 3 q^{44} + 33 q^{45} + 3 q^{46} - 21 q^{47} + 90 q^{48} + 12 q^{49} - 39 q^{50} - 48 q^{51} + 9 q^{52} + 9 q^{53} - 63 q^{54} - 24 q^{55} + 57 q^{56} - 18 q^{57} - 3 q^{58} - 18 q^{59} + 81 q^{60} + 33 q^{61} + 75 q^{62} + 63 q^{63} - 30 q^{64} + 81 q^{65} + 69 q^{66} - 3 q^{67} + 6 q^{68} - 6 q^{69} - 42 q^{70} - 18 q^{71} - 105 q^{72} + 21 q^{73} - 93 q^{74} + 18 q^{75} - 24 q^{76} + 87 q^{77} - 30 q^{78} + 15 q^{79} + 102 q^{80} + 39 q^{81} - 6 q^{82} - 42 q^{83} - 36 q^{84} - 63 q^{85} + 159 q^{86} + 30 q^{87} + 57 q^{88} - 150 q^{89} - 39 q^{90} + 6 q^{91} - 66 q^{92} - 27 q^{93} + 33 q^{94} - 147 q^{95} + 81 q^{96} - 12 q^{97} + 99 q^{98} + 24 q^{99}+O(q^{100}) \) 132 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 18 * q^6 - 6 * q^7 - 6 * q^8 + 3 * q^9 - 6 * q^10 + 3 * q^11 - 3 * q^12 - 12 * q^13 + 15 * q^14 - 9 * q^16 - 54 * q^17 - 3 * q^18 - 6 * q^19 - 18 * q^20 - 21 * q^21 - 12 * q^22 + 45 * q^24 - 3 * q^25 + 30 * q^26 - 12 * q^27 - 12 * q^28 - 30 * q^29 - 57 * q^30 - 3 * q^31 + 51 * q^32 + 15 * q^33 - 18 * q^34 - 12 * q^35 - 60 * q^36 + 3 * q^37 - 57 * q^38 - 66 * q^39 - 66 * q^40 + 33 * q^42 - 12 * q^43 + 3 * q^44 + 33 * q^45 + 3 * q^46 - 21 * q^47 + 90 * q^48 + 12 * q^49 - 39 * q^50 - 48 * q^51 + 9 * q^52 + 9 * q^53 - 63 * q^54 - 24 * q^55 + 57 * q^56 - 18 * q^57 - 3 * q^58 - 18 * q^59 + 81 * q^60 + 33 * q^61 + 75 * q^62 + 63 * q^63 - 30 * q^64 + 81 * q^65 + 69 * q^66 - 3 * q^67 + 6 * q^68 - 6 * q^69 - 42 * q^70 - 18 * q^71 - 105 * q^72 + 21 * q^73 - 93 * q^74 + 18 * q^75 - 24 * q^76 + 87 * q^77 - 30 * q^78 + 15 * q^79 + 102 * q^80 + 39 * q^81 - 6 * q^82 - 42 * q^83 - 36 * q^84 - 63 * q^85 + 159 * q^86 + 30 * q^87 + 57 * q^88 - 150 * q^89 - 39 * q^90 + 6 * q^91 - 66 * q^92 - 27 * q^93 + 33 * q^94 - 147 * q^95 + 81 * q^96 - 12 * q^97 + 99 * q^98 + 24 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/189\mathbb{Z}\right)^\times$.

$n$	$29$	$136$
$\chi(n)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	0.278319	+	1.57843i	0.196802	+	1.11612i	0.909830	+	0.414982i	$0.136212\pi$
$2$	0.278319	+	1.57843i	0.196802	+	1.11612i	−0.713028	+	0.701135i	$0.752677\pi$
$3$	1.72991	+	0.0861840i	0.998761	+	0.0497584i
$3$	1.72991	+	0.0861840i	0.998761	+	0.0497584i
$4$	−0.534587	+	0.194574i	−0.267293	+	0.0972868i
$5$	0.620906	−	3.52133i	0.277678	−	1.57479i	−0.452649	−	0.891689i	$-0.649521\pi$
$5$	0.620906	−	3.52133i	0.277678	−	1.57479i	0.730326	−	0.683099i	$-0.239368\pi$
$6$	0.345431	+	2.75452i	0.141022	+	1.12453i
$7$	−2.64260	+	0.129178i	−0.998807	+	0.0488246i
$7$	−2.64260	+	0.129178i	−0.998807	+	0.0488246i
$8$	1.14687	+	1.98644i	0.405480	+	0.702312i
$9$	2.98514	+	0.298180i	0.995048	+	0.0993934i
$10$	5.73098			1.81229
$11$	0.628218	+	3.56280i	0.189415	+	1.07423i	0.920150	+	0.391565i	$0.128066\pi$
$11$	0.628218	+	3.56280i	0.189415	+	1.07423i	−0.730736	+	0.682661i	$0.760823\pi$
$12$	−0.941553	+	0.290521i	−0.271803	+	0.0838662i
$13$	−2.67039	−	2.24072i	−0.740632	−	0.621464i	0.192375	−	0.981321i	$-0.438381\pi$
$13$	−2.67039	−	2.24072i	−0.740632	−	0.621464i	−0.933007	+	0.359857i	$0.882825\pi$
$14$	−0.939383	−	4.13519i	−0.251061	−	1.10518i
$15$	1.37759	−	6.03806i	0.355692	−	1.55902i
$16$	−3.68785	+	3.09448i	−0.921963	+	0.773619i
$17$	−3.16107			−0.766673			−0.383336	−	0.923609i	$-0.625225\pi$
$17$	−3.16107			−0.766673			−0.383336	+	0.923609i	$0.625225\pi$
$18$	0.360168	+	4.79482i	0.0848923	+	1.13015i
$19$	−5.61311			−1.28774			−0.643868	−	0.765136i	$-0.722672\pi$
$19$	−5.61311			−1.28774			−0.643868	+	0.765136i	$0.722672\pi$
$20$	0.353230	+	2.00327i	0.0789847	+	0.447944i
$21$	−4.58257	−	0.00428421i	−1.00000	−	0.000934892i
$22$	−5.44878	+	1.98319i	−1.16168	+	0.422818i
$23$	3.87585	+	3.25222i	0.808170	+	0.678136i	0.950170	−	0.311731i	$-0.100909\pi$
$23$	3.87585	+	3.25222i	0.808170	+	0.678136i	−0.142000	+	0.989867i	$0.545353\pi$
$24$	1.81278	+	3.53519i	0.370032	+	0.721618i
$25$	−7.31579	−	2.66273i	−1.46316	−	0.532546i
$26$	2.79359	−	4.83865i	0.547869	−	0.948937i
$27$	5.13832	+	0.773095i	0.988870	+	0.148782i
$28$	1.38756	−	0.583236i	0.262225	−	0.110221i
$29$	3.31696	−	2.78326i	0.615944	−	0.516839i	−0.280581	−	0.959830i	$-0.590527\pi$
$29$	3.31696	−	2.78326i	0.615944	−	0.516839i	0.896526	+	0.442992i	$0.146083\pi$
$30$	9.91405	+	0.493919i	1.81005	+	0.0901768i
$31$	−2.14316	+	0.780048i	−0.384924	+	0.140101i	−0.527231	−	0.849722i	$-0.676770\pi$
$31$	−2.14316	+	0.780048i	−0.384924	+	0.140101i	0.142308	+	0.989822i	$0.454548\pi$
$32$	−2.39659	−	2.01098i	−0.423661	−	0.355494i
$33$	0.779702	+	6.21745i	0.135729	+	1.08232i
$34$	−0.879788	−	4.98952i	−0.150882	−	0.855696i
$35$	−1.18593	+	9.38566i	−0.200458	+	1.58647i
$36$	−1.65384	+	0.421427i	−0.275639	+	0.0702379i
$37$	−1.40224	−	2.42875i	−0.230526	−	0.399283i	0.727437	−	0.686175i	$-0.240711\pi$
$37$	−1.40224	−	2.42875i	−0.230526	−	0.399283i	−0.957963	+	0.286891i	$0.907378\pi$
$38$	−1.56224	−	8.85989i	−0.253429	−	1.43726i
$39$	−4.42640	−	4.10638i	−0.708791	−	0.657547i
$40$	7.70701	−	2.80512i	1.21859	−	0.443529i
$41$	−4.02326	−	3.37591i	−0.628327	−	0.527229i	0.272081	−	0.962274i	$-0.412288\pi$
$41$	−4.02326	−	3.37591i	−0.628327	−	0.527229i	−0.900409	+	0.435045i	$0.856732\pi$
$42$	−1.26866	−	7.23445i	−0.195758	−	1.11630i
$43$	−0.399770	−	0.145504i	−0.0609643	−	0.0221892i	0.311358	−	0.950293i	$-0.399216\pi$
$43$	−0.399770	−	0.145504i	−0.0609643	−	0.0221892i	−0.372322	+	0.928103i	$0.621438\pi$
$44$	−1.02906	−	1.78239i	−0.155137	−	0.268706i
$45$	2.90349	−	10.3265i	0.432826	−	1.53939i
$46$	−4.05468	+	7.02290i	−0.597829	+	1.03547i
$47$	6.52045	+	2.37325i	0.951105	+	0.346174i	0.770542	−	0.637389i	$-0.219986\pi$
$47$	6.52045	+	2.37325i	0.951105	+	0.346174i	0.180563	+	0.983563i	$0.442208\pi$
$48$	−6.64633	+	5.03532i	−0.959315	+	0.726785i
$49$	6.96663	−	0.682729i	0.995232	−	0.0975327i
$50$	2.16680	−	12.2885i	0.306432	−	1.73786i
$51$	−5.46836	−	0.272434i	−0.765723	−	0.0381484i
$52$	1.86354	+	0.678272i	0.258426	+	0.0940594i
$53$	0.278724	+	0.482764i	0.0382857	+	0.0663128i	0.884533	−	0.466477i	$-0.154477\pi$
$53$	0.278724	+	0.482764i	0.0382857	+	0.0663128i	−0.846248	+	0.532790i	$0.821144\pi$
$54$	0.209819	+	8.32563i	0.0285527	+	1.13297i
$55$	12.9359			1.74427
$56$	−3.28732	−	5.10121i	−0.439287	−	0.681677i
$57$	−9.71016	−	0.483761i	−1.28614	−	0.0640757i
$58$	5.31635	+	4.46095i	0.698071	+	0.585751i
$59$	−2.38062	−	1.99758i	−0.309931	−	0.260063i	0.474533	−	0.880238i	$-0.342617\pi$
$59$	−2.38062	−	1.99758i	−0.309931	−	0.260063i	−0.784463	+	0.620175i	$0.787062\pi$
$60$	0.438405	+	3.49591i	0.0565979	+	0.451320i
$61$	11.8642	+	4.31823i	1.51906	+	0.552893i	0.960913	−	0.276850i	$-0.0892905\pi$
$61$	11.8642	+	4.31823i	1.51906	+	0.552893i	0.558147	+	0.829742i	$0.311513\pi$
$62$	−1.82773	−	3.16573i	−0.232122	−	0.402048i
$63$	−7.92705	−	0.402356i	−0.998714	−	0.0506921i
$64$	−2.30699	+	3.99582i	−0.288373	+	0.499477i
$65$	−9.54838	+	8.01204i	−1.18433	+	0.993771i
$66$	−9.59680	+	2.96114i	−1.18128	+	0.364491i
$67$	0.0689510	−	0.391040i	0.00842370	−	0.0477732i	−0.980306	−	0.197484i	$-0.936723\pi$
$67$	0.0689510	−	0.391040i	0.00842370	−	0.0477732i	0.988730	+	0.149711i	$0.0478342\pi$
$68$	1.68987	−	0.615061i	0.204926	−	0.0745871i
$69$	6.42456	+	5.96008i	0.773426	+	0.717509i
$70$	−15.1447	+	0.740315i	−1.81013	+	0.0884845i
$71$	5.93160	−	10.2738i	0.703952	−	1.21928i	−0.263117	−	0.964764i	$-0.584751\pi$
$71$	5.93160	−	10.2738i	0.703952	−	1.21928i	0.967069	−	0.254516i	$-0.0819161\pi$
$72$	2.83126	+	6.27178i	0.333667	+	0.739137i
$73$	0.767543	−	1.32942i	0.0898341	−	0.155597i	−0.817607	−	0.575777i	$-0.804700\pi$
$73$	0.767543	−	1.32942i	0.0898341	−	0.155597i	0.907441	+	0.420180i	$0.138033\pi$
$74$	3.44333	−	2.88930i	0.400279	−	0.335874i
$75$	−12.4261	−	5.23678i	−1.43485	−	0.604691i
$76$	3.00070	−	1.09216i	0.344203	−	0.125280i
$77$	−2.12036	−	9.33390i	−0.241638	−	1.06370i
$78$	5.24967	−	8.12964i	0.594408	−	0.920500i
$79$	−2.83470	−	16.0764i	−0.318929	−	1.80874i	−0.549290	−	0.835631i	$-0.685102\pi$
$79$	−2.83470	−	16.0764i	−0.318929	−	1.80874i	0.230361	−	0.973105i	$-0.426009\pi$
$80$	8.60687	+	14.9075i	0.962277	+	1.66671i
$81$	8.82218	+	1.78022i	0.980242	+	0.197803i
$82$	4.20888	−	7.29000i	0.464794	−	0.805046i
$83$	−9.89194	+	8.30032i	−1.08578	+	0.911078i	−0.996388	−	0.0849180i	$-0.972937\pi$
$83$	−9.89194	+	8.30032i	−1.08578	+	0.911078i	−0.0893931	+	0.995996i	$0.528493\pi$
$84$	2.45062	−	0.889358i	0.267384	−	0.0970369i
$85$	−1.96273	+	11.1312i	−0.212888	+	1.20735i
$86$	0.118404	−	0.671504i	0.0127679	−	0.0724102i
$87$	5.97790	−	4.52891i	0.640898	−	0.485550i
$88$	−6.35681	+	5.33399i	−0.677638	+	0.568606i
$89$	11.4030			1.20871			0.604356	−	0.796714i	$-0.293430\pi$
$89$	11.4030			1.20871			0.604356	+	0.796714i	$0.293430\pi$
$90$	17.1078	+	1.70886i	1.80332	+	0.180130i
$91$	7.34620	+	5.57636i	0.770091	+	0.584562i
$92$	−2.70477	−	0.984457i	−0.281992	−	0.102637i
$93$	−3.77470	+	1.16470i	−0.391418	+	0.120774i
$94$	−1.93123	+	10.9526i	−0.199192	+	1.12967i
$95$	−3.48522	+	19.7656i	−0.357576	+	2.02791i
$96$	−3.97256	−	3.68535i	−0.405447	−	0.376134i
$97$	−5.58531	−	2.03289i	−0.567103	−	0.206409i	0.0425263	−	0.999095i	$-0.486459\pi$
$97$	−5.58531	−	2.03289i	−0.567103	−	0.206409i	−0.609629	+	0.792687i	$0.708682\pi$
$98$	3.01659	+	10.8063i	0.304721	+	1.09160i
$99$	0.812965	+	10.8228i	0.0817060	+	1.08773i
$100$	4.42902			0.442902
$101$	−3.34877	+	2.80996i	−0.333215	+	0.279601i	−0.794009	−	0.607907i	$-0.792009\pi$
$101$	−3.34877	+	2.80996i	−0.333215	+	0.279601i	0.460793	+	0.887508i	$0.347565\pi$
$102$	−1.09193	−	8.70723i	−0.108117	−	0.862144i
$103$	−2.10066	+	11.9134i	−0.206984	+	1.17386i	0.687304	+	0.726370i	$0.258794\pi$
$103$	−2.10066	+	11.9134i	−0.206984	+	1.17386i	−0.894288	+	0.447493i	$0.852317\pi$
$104$	1.38847	−	7.87438i	0.136150	−	0.772146i
$105$	−2.86043	+	16.1341i	−0.279150	+	1.57453i
$106$	−0.684434	+	0.574308i	−0.0664781	+	0.0557818i
$107$	2.89445	−	5.01333i	0.279817	−	0.484657i	−0.691522	−	0.722355i	$-0.743060\pi$
$107$	2.89445	−	5.01333i	0.279817	−	0.484657i	0.971339	+	0.237698i	$0.0763930\pi$
$108$	−2.89730	+	0.586495i	−0.278793	+	0.0564355i
$109$	2.97504	+	5.15291i	0.284957	+	0.493560i	0.972599	−	0.232490i	$-0.0746874\pi$
$109$	2.97504	+	5.15291i	0.284957	+	0.493560i	−0.687642	+	0.726050i	$0.741354\pi$
$110$	3.60031	+	20.4183i	0.343276	+	1.94681i
$111$	−2.21642	−	4.32235i	−0.210373	−	0.410259i
$112$	9.34576	−	8.65384i	0.883092	−	0.817711i
$113$	−17.0923	+	6.22109i	−1.60791	+	0.585231i	−0.981025	−	0.193882i	$-0.937892\pi$
$113$	−17.0923	+	6.22109i	−1.60791	+	0.585231i	−0.626884	+	0.779113i	$0.715670\pi$
$114$	−1.93894	−	15.4614i	−0.181599	−	1.44809i
$115$	13.8587	−	11.6288i	1.29233	−	1.08439i
$116$	−1.23165	+	2.13329i	−0.114356	+	0.198071i
$117$	−7.30335	−	7.48513i	−0.675195	−	0.692001i
$118$	2.49046	−	4.31361i	0.229266	−	0.397100i
$119$	8.35344	−	0.408340i	0.765758	−	0.0374325i
$120$	13.5742	−	4.18838i	1.23915	−	0.382345i
$121$	−1.96229	+	0.714216i	−0.178390	+	0.0649287i
$122$	−3.51396	+	19.9287i	−0.318139	+	1.80426i
$123$	−6.66890	−	6.18675i	−0.601315	−	0.557841i
$124$	0.993930	−	0.834006i	0.0892575	−	0.0748960i
$125$	−4.97964	+	8.62499i	−0.445393	+	0.771443i
$126$	−1.57116	−	12.6243i	−0.139970	−	1.12466i
$127$	−3.87327	−	6.70870i	−0.343697	−	0.595301i	0.641419	−	0.767191i	$-0.278346\pi$
$127$	−3.87327	−	6.70870i	−0.343697	−	0.595301i	−0.985116	+	0.171890i	$0.945013\pi$
$128$	−12.8289	−	4.66933i	−1.13392	−	0.412715i
$129$	−0.679024	−	0.286162i	−0.0597847	−	0.0251952i
$130$	−15.3039	−	12.8415i	−1.34224	−	1.12628i
$131$	12.1798	+	10.2201i	1.06415	+	0.892931i	0.994510	−	0.104641i	$-0.0333694\pi$
$131$	12.1798	+	10.2201i	1.06415	+	0.892931i	0.0696434	+	0.997572i	$0.477814\pi$
$132$	−1.62657	−	3.17206i	−0.141575	−	0.276092i
$133$	14.8332	−	0.725089i	1.28620	−	0.0628732i
$134$	0.636419			0.0549782
$135$	5.91274	−	17.6137i	0.508887	−	1.51595i
$136$	−3.62534	−	6.27928i	−0.310871	−	0.538444i
$137$	−7.50882	−	2.73299i	−0.641522	−	0.233495i	0.000716758	−	1.00000i	$-0.499772\pi$
$137$	−7.50882	−	2.73299i	−0.641522	−	0.233495i	−0.642238	+	0.766505i	$0.721994\pi$
$138$	−7.61947	+	11.7995i	−0.648612	+	1.00444i
$139$	−2.02574	+	11.4885i	−0.171821	+	0.974446i	0.769928	+	0.638130i	$0.220292\pi$
$139$	−2.02574	+	11.4885i	−0.171821	+	0.974446i	−0.941749	+	0.336315i	$0.890819\pi$
$140$	−1.19222	−	5.24820i	−0.100761	−	0.443554i
$141$	11.0752	+	4.66745i	0.932702	+	0.393071i
$142$	17.8674	+	6.50320i	1.49940	+	0.545736i
$143$	6.30566	−	10.9217i	0.527306	−	0.913320i
$144$	−11.9315	+	8.13781i	−0.994290	+	0.678151i
$145$	−7.74127	−	13.4083i	−0.642877	−	1.11350i
$146$	2.31202	+	0.841507i	0.191344	+	0.0696436i
$147$	12.1104	−	0.580645i	0.998853	−	0.0478908i
$148$	1.22219	+	1.02554i	0.100463	+	0.0842986i
$149$	7.12646	−	2.59382i	0.583823	−	0.212494i	−0.0331877	−	0.999449i	$-0.510566\pi$
$149$	7.12646	−	2.59382i	0.583823	−	0.212494i	0.617010	+	0.786955i	$0.288344\pi$
$150$	4.80743	−	21.0713i	0.392525	−	1.72046i
$151$	−1.01426	−	5.75216i	−0.0825393	−	0.468104i	−0.997860	−	0.0653791i	$-0.979174\pi$
$151$	−1.01426	−	5.75216i	−0.0825393	−	0.468104i	0.915321	−	0.402725i	$-0.131937\pi$
$152$	−6.43752	−	11.1501i	−0.522152	−	0.904393i
$153$	−9.43626	−	0.942569i	−0.762876	−	0.0762022i
$154$	14.1427	−	5.94464i	1.13965	−	0.479033i
$155$	1.41610	+	8.03113i	0.113744	+	0.645076i
$156$	3.16529	+	1.33395i	0.253426	+	0.106802i
$157$	−12.6661	−	10.6281i	−1.01086	−	0.848216i	−0.0224120	−	0.999749i	$-0.507135\pi$
$157$	−12.6661	−	10.6281i	−1.01086	−	0.848216i	−0.988452	+	0.151533i	$0.951579\pi$
$158$	24.5865	−	8.94875i	1.95600	−	0.711924i
$159$	0.440560	+	0.859158i	0.0349386	+	0.0681356i
$160$	−8.56937	+	7.19055i	−0.677468	+	0.568463i
$161$	−10.6624	−	8.09364i	−0.840316	−	0.637868i
$162$	−0.354570	+	14.4206i	−0.0278576	+	1.13299i
$163$	−3.93150	+	6.80956i	−0.307939	+	0.533366i	−0.977911	−	0.209020i	$-0.932973\pi$
$163$	−3.93150	+	6.80956i	−0.307939	+	0.533366i	0.669972	+	0.742386i	$0.266306\pi$
$164$	2.80764	+	1.02190i	0.219240	+	0.0797969i
$165$	22.3778	+	1.11487i	1.74211	+	0.0867922i
$166$	−15.8546	−	13.3036i	−1.23055	−	1.03256i
$167$	−5.00586	+	1.82198i	−0.387365	+	0.140989i	−0.528359	−	0.849021i	$-0.677192\pi$
$167$	−5.00586	+	1.82198i	−0.387365	+	0.140989i	0.140994	+	0.990010i	$0.454970\pi$
$168$	−5.24711	−	9.10792i	−0.404823	−	0.702691i
$169$	−0.147290	−	0.835325i	−0.0113300	−	0.0642558i
$170$	−18.1160			−1.38944
$171$	−16.7560	−	1.67372i	−1.28136	−	0.127993i
$172$	0.242023			0.0184541
$173$	2.82848	−	2.37338i	0.215046	−	0.180445i	−0.528901	−	0.848683i	$-0.677396\pi$
$173$	2.82848	−	2.37338i	0.215046	−	0.180445i	0.743947	+	0.668239i	$0.232951\pi$
$174$	8.81232	+	8.17520i	0.668060	+	0.619761i
$175$	19.6766	+	6.09148i	1.48741	+	0.460473i
$176$	−13.3418	−	11.1951i	−1.00567	−	0.843861i
$177$	−3.94609	−	3.66080i	−0.296607	−	0.275162i
$178$	3.17367	+	17.9988i	0.237876	+	1.34906i
$179$	22.5186			1.68312			0.841560	−	0.540163i	$-0.181637\pi$
$179$	22.5186			1.68312			0.841560	+	0.540163i	$0.181637\pi$
$180$	0.457108	+	6.08537i	0.0340708	+	0.453577i
$181$	3.50524	+	6.07126i	0.260543	+	0.451273i	0.966386	−	0.257095i	$-0.0827652\pi$
$181$	3.50524	+	6.07126i	0.260543	+	0.451273i	−0.705844	+	0.708368i	$0.749432\pi$
$182$	−6.75729	+	13.1475i	−0.500884	+	0.974554i
$183$	20.1518	+	8.49263i	1.48967	+	0.627794i
$184$	−2.01524	+	11.4290i	−0.148566	+	0.842559i
$185$	−9.42308	+	3.42972i	−0.692798	+	0.252158i
$186$	−2.88897	−	5.63393i	−0.211830	−	0.413100i
$187$	−1.98584	−	11.2623i	−0.145219	−	0.823579i
$188$	−3.94752			−0.287902
$189$	−13.6784	−	1.37922i	−0.994955	−	0.100324i
$190$	−32.1686			−2.33376
$191$	−0.218169	−	1.23730i	−0.0157862	−	0.0895278i	0.975897	−	0.218233i	$-0.0700291\pi$
$191$	−0.218169	−	1.23730i	−0.0157862	−	0.0895278i	−0.991683	+	0.128705i	$0.958918\pi$
$192$	−4.33524	+	6.71356i	−0.312869	+	0.484509i
$193$	−1.35814	+	0.494324i	−0.0977613	+	0.0355822i	−0.390438	−	0.920629i	$-0.627676\pi$
$193$	−1.35814	+	0.494324i	−0.0977613	+	0.0355822i	0.292676	+	0.956212i	$0.405454\pi$
$194$	1.65427	−	9.38181i	0.118769	−	0.673574i
$195$	−17.2083	+	13.0372i	−1.23231	+	0.933610i
$196$	−3.59142	+	1.72050i	−0.256530	+	0.122893i
$197$	6.22126	+	10.7755i	0.443246	+	0.767725i	0.997928	−	0.0643375i	$-0.0204934\pi$
$197$	6.22126	+	10.7755i	0.443246	+	0.767725i	−0.554682	+	0.832062i	$0.687160\pi$
$198$	−16.8568	+	4.29540i	−1.19796	+	0.305261i
$199$	7.95068			0.563609			0.281804	−	0.959472i	$-0.409067\pi$
$199$	7.95068			0.563609			0.281804	+	0.959472i	$0.409067\pi$
$200$	−3.10092	−	17.5862i	−0.219268	−	1.24353i
$201$	0.152980	−	0.670520i	0.0107904	−	0.0472949i
$202$	−5.36734	−	4.50373i	−0.377645	−	0.316882i
$203$	−8.40586	+	7.78351i	−0.589975	+	0.546296i
$204$	2.97632	−	0.918358i	0.208384	−	0.0642979i
$205$	−14.3858	+	12.0711i	−1.00475	+	0.843082i
$206$	−19.3891			−1.35090
$207$	10.6002	+	10.8641i	0.736766	+	0.755104i
$208$	16.7818			1.16361
$209$	−3.52626	−	19.9984i	−0.243917	−	1.38332i
$210$	−26.2626	−	0.0245527i	−1.81229	−	0.00169430i
$211$	26.5593	−	9.66680i	1.82842	−	0.665490i	0.835099	−	0.550100i	$-0.185410\pi$
$211$	26.5593	−	9.66680i	1.82842	−	0.665490i	0.993320	−	0.115390i	$-0.0368119\pi$
$212$	−0.242935	−	0.203847i	−0.0166849	−	0.0140003i
$213$	11.1465	−	17.2616i	0.763749	−	1.18274i
$214$	8.71875	+	3.17337i	0.596002	+	0.216927i
$215$	−0.760588	+	1.31738i	−0.0518717	+	0.0898444i
$216$	4.35728	+	11.0936i	0.296476	+	0.754824i
$217$	5.56275	−	2.33820i	0.377624	−	0.158727i
$218$	−7.30549	+	6.13003i	−0.494790	+	0.415178i
$219$	1.44235	−	2.23363i	0.0974651	−	0.150935i
$220$	−6.91535	+	2.51698i	−0.466233	+	0.169695i
$221$	8.44128	+	7.08308i	0.567822	+	0.476459i
$222$	6.20564	−	4.70145i	0.416496	−	0.315541i
$223$	−1.48544	−	8.42435i	−0.0994725	−	0.564136i	−0.993285	−	0.115695i	$-0.963090\pi$
$223$	−1.48544	−	8.42435i	−0.0994725	−	0.564136i	0.893812	−	0.448441i	$-0.148021\pi$
$224$	6.59299	+	5.00461i	0.440512	+	0.334385i
$225$	−21.0447	−	10.1301i	−1.40298	−	0.675337i
$226$	−14.5767	−	25.2475i	−0.969625	−	1.67944i
$227$	2.96490	+	16.8148i	0.196787	+	1.11603i	0.909851	+	0.414935i	$0.136196\pi$
$227$	2.96490	+	16.8148i	0.196787	+	1.11603i	−0.713064	+	0.701099i	$0.752693\pi$
$228$	5.28505	−	1.63073i	0.350011	−	0.107998i
$229$	−18.8568	+	6.86331i	−1.24609	+	0.453540i	−0.879079	−	0.476676i	$-0.841842\pi$
$229$	−18.8568	+	6.86331i	−1.24609	+	0.453540i	−0.367013	+	0.930216i	$0.619619\pi$
$230$	22.2124	+	18.6384i	1.46464	+	1.22898i
$231$	−2.86359	−	16.3295i	−0.188411	−	1.07440i
$232$	9.33291	+	3.39690i	0.612735	+	0.223017i
$233$	8.58256	+	14.8654i	0.562262	+	0.973867i	0.997299	+	0.0734539i	$0.0234022\pi$
$233$	8.58256	+	14.8654i	0.562262	+	0.973867i	−0.435036	+	0.900413i	$0.643264\pi$
$234$	9.78207	−	13.6111i	0.639474	−	0.889783i
$235$	12.4056	−	21.4871i	0.809251	−	1.40166i
$236$	1.66133	+	0.604673i	0.108143	+	0.0393609i
$237$	−3.51824	−	28.0550i	−0.228534	−	1.82237i
$238$	2.96946	+	13.0716i	0.192481	+	0.847309i
$239$	2.43574	−	13.8138i	0.157555	−	0.893538i	−0.798858	−	0.601520i	$-0.794562\pi$
$239$	2.43574	−	13.8138i	0.157555	−	0.893538i	0.956413	−	0.292018i	$-0.0943268\pi$
$240$	13.6043	+	26.5304i	0.878152	+	1.71253i
$241$	2.86131	+	1.04143i	0.184313	+	0.0670846i	0.432528	−	0.901620i	$-0.357622\pi$
$241$	2.86131	+	1.04143i	0.184313	+	0.0670846i	−0.248215	+	0.968705i	$0.579844\pi$
$242$	−1.67348	−	2.89855i	−0.107575	−	0.186326i
$243$	15.1081	+	3.83995i	0.969185	+	0.246333i
$244$	−7.18267			−0.459824
$245$	1.92150	−	24.9557i	0.122760	−	1.59436i
$246$	7.90925	−	12.2483i	0.504276	−	0.780922i
$247$	14.9892	+	12.5774i	0.953739	+	0.800282i
$248$	−4.00745	−	3.36265i	−0.254473	−	0.213528i
$249$	−17.8275	+	13.5062i	−1.12977	+	0.855923i
$250$	−14.9999	−	5.45950i	−0.948674	−	0.345289i
$251$	−5.80488	−	10.0543i	−0.366401	−	0.634624i	0.622599	−	0.782541i	$-0.286077\pi$
$251$	−5.80488	−	10.0543i	−0.366401	−	0.634624i	−0.989000	+	0.147916i	$0.952743\pi$
$252$	4.31598	−	1.32730i	0.271881	−	0.0836121i
$253$	−9.15215	+	15.8520i	−0.575391	+	0.996606i
$254$	9.51119	−	7.98084i	0.596785	−	0.500762i
$255$	−4.35466	+	19.0867i	−0.272700	+	1.19526i
$256$	2.19726	−	12.4613i	0.137329	−	0.778830i
$257$	0.281313	−	0.102390i	0.0175478	−	0.00638689i	−0.333231	−	0.942845i	$-0.608139\pi$
$257$	0.281313	−	0.102390i	0.0175478	−	0.00638689i	0.350779	+	0.936458i	$0.385917\pi$
$258$	0.262701	−	1.15143i	0.0163551	−	0.0716852i
$259$	4.01928	+	6.23705i	0.249746	+	0.387552i
$260$	3.54550	−	6.14099i	0.219883	−	0.380848i
$261$	10.7315	−	7.31939i	0.664265	−	0.453059i
$262$	−12.7418	+	22.0694i	−0.787188	+	1.36345i
$263$	−3.67351	+	3.08244i	−0.226518	+	0.190071i	−0.748982	−	0.662590i	$-0.769457\pi$
$263$	−3.67351	+	3.08244i	−0.226518	+	0.190071i	0.522464	+	0.852661i	$0.325013\pi$
$264$	−11.4564	+	8.67945i	−0.705091	+	0.534183i
$265$	1.87303	−	0.681729i	0.115060	−	0.0418783i
$266$	5.27287	+	23.2113i	0.323300	+	1.42318i
$267$	19.7261	+	0.982754i	1.20722	+	0.0601435i
$268$	0.0392259	+	0.222461i	0.00239610	+	0.0135890i
$269$	−4.36068	−	7.55292i	−0.265875	−	0.460510i	0.701917	−	0.712259i	$-0.252328\pi$
$269$	−4.36068	−	7.55292i	−0.265875	−	0.460510i	−0.967793	+	0.251749i	$0.918994\pi$
$270$	29.4476	+	4.43059i	1.79212	+	0.269637i
$271$	−2.47335	+	4.28397i	−0.150245	+	0.260233i	−0.931318	−	0.364208i	$-0.881340\pi$
$271$	−2.47335	+	4.28397i	−0.150245	+	0.260233i	0.781072	+	0.624441i	$0.214673\pi$
$272$	11.6576	−	9.78186i	0.706844	−	0.593112i
$273$	12.2276	+	10.2797i	0.740051	+	0.622156i
$274$	2.22397	−	12.6128i	0.134355	−	0.761965i
$275$	4.89087	−	27.7375i	0.294931	−	1.67263i
$276$	−4.59416	−	1.93613i	−0.276536	−	0.116541i
$277$	−17.7240	+	14.8722i	−1.06493	+	0.893583i	−0.994584	−	0.103940i	$-0.966855\pi$
$277$	−17.7240	+	14.8722i	−1.06493	+	0.893583i	−0.0703467	+	0.997523i	$0.522411\pi$
$278$	−18.6976			−1.12141
$279$	−6.63025	+	1.68951i	−0.396943	+	0.101148i
$280$	−20.0042	+	8.40838i	−1.19548	+	0.502497i
$281$	−4.21690	−	1.53483i	−0.251559	−	0.0915601i	0.213163	−	0.977017i	$-0.431624\pi$
$281$	−4.21690	−	1.53483i	−0.251559	−	0.0915601i	−0.464722	+	0.885457i	$0.653846\pi$
$282$	−4.28479	+	18.7805i	−0.255155	+	1.11836i
$283$	−1.59373	+	9.03849i	−0.0947374	+	0.537283i	0.900090	+	0.435704i	$0.143500\pi$
$283$	−1.59373	+	9.03849i	−0.0947374	+	0.537283i	−0.994828	+	0.101579i	$0.967611\pi$
$284$	−1.17194	+	6.64639i	−0.0695417	+	0.394390i
$285$	−7.73257	+	33.8923i	−0.458038	+	2.00761i
$286$	18.9941	+	6.91330i	1.12315	+	0.408792i
$287$	11.0679	+	8.40146i	0.653320	+	0.495923i
$288$	−6.55453	−	6.71767i	−0.386229	−	0.395842i
$289$	−7.00762			−0.412213
$290$	19.0094	−	15.9508i	1.11627	−	0.936664i
$291$	−9.48686	−	3.99807i	−0.556130	−	0.234371i
$292$	−0.151647	+	0.860036i	−0.00887450	+	0.0503298i
$293$	−0.347703	+	1.97192i	−0.0203130	+	0.115201i	−0.993278	−	0.115751i	$-0.963073\pi$
$293$	−0.347703	+	1.97192i	−0.0203130	+	0.115201i	0.972965	+	0.230951i	$0.0741838\pi$
$294$	4.28708	+	18.9539i	0.250027	+	1.10541i
$295$	−8.51229	+	7.14266i	−0.495605	+	0.415862i
$296$	3.21637	−	5.57092i	0.186948	−	0.323803i
$297$	0.473600	+	18.7925i	0.0274810	+	1.09045i
$298$	6.07759	+	10.5267i	0.352065	+	0.609795i
$299$	−3.06269	−	17.3694i	−0.177120	−	1.00450i
$300$	7.66179	+	0.381711i	0.442353	+	0.0220381i
$301$	1.07523	+	0.332868i	0.0619750	+	0.0191862i
$302$	8.79707	−	3.20187i	0.506215	−	0.184247i
$303$	−6.03524	+	4.57235i	−0.346715	+	0.262674i
$304$	20.7003	−	17.3696i	1.18725	−	0.996217i
$305$	22.5725	−	39.0967i	1.29250	−	2.23867i
$306$	−1.13852	−	15.1568i	−0.0650846	−	0.866456i
$307$	−2.90508	+	5.03175i	−0.165802	+	0.287177i	−0.936940	−	0.349491i	$-0.886355\pi$
$307$	−2.90508	+	5.03175i	−0.165802	+	0.287177i	0.771138	+	0.636668i	$0.219688\pi$
$308$	2.94965	+	4.57721i	0.168072	+	0.260811i
$309$	−4.66068	+	20.4280i	−0.265137	+	1.16211i
$310$	−12.2824	+	4.47044i	−0.697595	+	0.253904i
$311$	−2.13443	+	12.1050i	−0.121032	+	0.686409i	0.862553	+	0.505967i	$0.168864\pi$
$311$	−2.13443	+	12.1050i	−0.121032	+	0.686409i	−0.983586	+	0.180443i	$0.942247\pi$
$312$	3.08056	−	13.5023i	0.174402	−	0.764415i
$313$	24.5118	−	20.5679i	1.38549	−	1.16256i	0.418361	−	0.908281i	$-0.362605\pi$
$313$	24.5118	−	20.5679i	1.38549	−	1.16256i	0.967130	−	0.254283i	$-0.0818396\pi$
$314$	13.2505	−	22.9505i	0.747768	−	1.29517i
$315$	−6.33878	+	27.6639i	−0.357150	+	1.55869i
$316$	4.64344	+	8.04267i	0.261214	+	0.452436i
$317$	0.213434	+	0.0776835i	0.0119876	+	0.00436314i	0.348007	−	0.937492i	$-0.386859\pi$
$317$	0.213434	+	0.0776835i	0.0119876	+	0.00436314i	−0.336019	+	0.941855i	$0.609081\pi$
$318$	−1.23350	+	0.934512i	−0.0691714	+	0.0524048i
$319$	12.0000	+	10.0692i	0.671871	+	0.563766i
$320$	12.6382	+	10.6047i	0.706495	+	0.592820i
$321$	5.43919	−	8.42313i	0.303586	−	0.470133i
$322$	9.80767	−	19.0825i	0.546560	−	1.06342i
$323$	17.7435			0.987272
$324$	−5.06260	+	0.764880i	−0.281256	+	0.0424933i
$325$	13.5696	+	23.5032i	0.752704	+	1.30372i
$326$	−11.8426	−	4.31036i	−0.655901	−	0.238729i
$327$	4.70243	+	9.17045i	0.260045	+	0.507127i
$328$	2.09189	−	11.8637i	0.115505	−	0.655063i
$329$	−17.5375	−	5.42924i	−0.966872	−	0.299324i
$330$	4.46845	+	35.6321i	0.245980	+	1.96148i
$331$	14.1379	+	5.14578i	0.777090	+	0.282838i	0.699959	−	0.714183i	$-0.253202\pi$
$331$	14.1379	+	5.14578i	0.777090	+	0.282838i	0.0771315	+	0.997021i	$0.475424\pi$
$332$	3.67307	−	6.36195i	0.201586	−	0.349157i
$333$	−3.46168	−	7.66828i	−0.189699	−	0.420219i
$334$	−4.26909	−	7.39429i	−0.233594	−	0.404597i
$335$	−1.33417	−	0.485598i	−0.0728935	−	0.0265311i
$336$	16.9131	−	14.1649i	0.922686	−	0.772756i
$337$	−7.49043	−	6.28522i	−0.408030	−	0.342378i	0.415558	−	0.909567i	$-0.363586\pi$
$337$	−7.49043	−	6.28522i	−0.408030	−	0.342378i	−0.823588	+	0.567189i	$0.808031\pi$
$338$	1.27751	−	0.464974i	0.0694872	−	0.0252913i
$339$	−30.1042	+	9.28881i	−1.63504	+	0.504499i
$340$	−1.11659	−	6.33248i	−0.0605554	−	0.343427i
$341$	−4.12553	−	7.14563i	−0.223410	−	0.386958i
$342$	−2.02166	−	26.9139i	−0.109319	−	1.45534i
$343$	−18.3218	+	2.70411i	−0.989283	+	0.146008i
$344$	−0.169449	−	0.960993i	−0.00913608	−	0.0518133i
$345$	24.9765	−	18.9224i	1.34469	−	1.01875i
$346$	4.53343	+	3.80400i	0.243719	+	0.204504i
$347$	−33.2471	+	12.1010i	−1.78480	+	0.649614i	−0.785263	+	0.619162i	$0.787472\pi$
$347$	−33.2471	+	12.1010i	−1.78480	+	0.649614i	−0.999536	+	0.0304513i	$0.990306\pi$
$348$	−2.31450	+	3.58424i	−0.124070	+	0.192135i
$349$	−20.2923	+	17.0273i	−1.08622	+	0.911450i	−0.996423	−	0.0845102i	$-0.973067\pi$
$349$	−20.2923	+	17.0273i	−1.08622	+	0.911450i	−0.0898006	+	0.995960i	$0.528623\pi$
$350$	−4.13857	+	32.7535i	−0.221216	+	1.75075i
$351$	−11.9890	−	13.5780i	−0.639926	−	0.724740i
$352$	5.65913	−	9.80190i	0.301633	−	0.522443i
$353$	28.2992	+	10.3001i	1.50621	+	0.548217i	0.957661	−	0.287898i	$-0.0929565\pi$
$353$	28.2992	+	10.3001i	1.50621	+	0.548217i	0.548553	+	0.836116i	$0.315179\pi$
$354$	4.68003	−	7.24749i	0.248741	−	0.385200i
$355$	−32.4946	−	27.2662i	−1.72464	−	1.44714i
$356$	−6.09587	+	2.21872i	−0.323081	+	0.117592i
$357$	14.4858	+	0.0135427i	0.766672	+	0.000716756i
$358$	6.26737	+	35.5440i	0.331241	+	1.87856i
$359$	−21.1453			−1.11601			−0.558004	−	0.829838i	$-0.688433\pi$
$359$	−21.1453			−1.11601			−0.558004	+	0.829838i	$0.688433\pi$
$360$	23.8430	−	6.07562i	1.25664	−	0.320213i
$361$	12.5070			0.658266
$362$	−8.60746	+	7.22252i	−0.452398	+	0.379607i
$363$	−3.45613	+	1.06641i	−0.181400	+	0.0559719i
$364$	−5.01219	−	1.55167i	−0.262710	−	0.0813297i
$365$	−4.20477	−	3.52822i	−0.220088	−	0.184676i
$366$	−7.79636	+	34.1719i	−0.407522	+	1.78619i
$367$	−5.23350	−	29.6807i	−0.273187	−	1.54932i	−0.744664	−	0.667440i	$-0.767390\pi$
$367$	−5.23350	−	29.6807i	−0.273187	−	1.54932i	0.471477	−	0.881878i	$-0.343721\pi$
$368$	−24.3575			−1.26972
$369$	−11.0034	−	11.2772i	−0.572813	−	0.587070i
$370$	−8.03619	−	13.9191i	−0.417781	−	0.723619i
$371$	−0.798917	−	1.23975i	−0.0414777	−	0.0643644i
$372$	1.79128	−	1.35709i	0.0928737	−	0.0703619i
$373$	2.03085	−	11.5175i	0.105153	−	0.596355i	−0.886005	−	0.463675i	$-0.846531\pi$
$373$	2.03085	−	11.5175i	0.105153	−	0.596355i	0.991159	−	0.132680i	$-0.0423583\pi$
$374$	17.2240	−	6.26902i	0.890631	−	0.324163i
$375$	−9.35764	+	14.4912i	−0.483227	+	0.748325i
$376$	2.76380	+	15.6743i	0.142532	+	0.808339i
$377$	−15.0941			−0.777385
$378$	−1.62995	−	21.9742i	−0.0838357	−	1.13023i
$379$	−30.7539			−1.57972			−0.789861	−	0.613285i	$-0.789848\pi$
$379$	−30.7539			−1.57972			−0.789861	+	0.613285i	$0.789848\pi$
$380$	−1.98272	−	11.2446i	−0.101711	−	0.576835i
$381$	−6.12221	−	11.9392i	−0.313650	−	0.611665i
$382$	1.89226	−	0.688728i	0.0968167	−	0.0352384i
$383$	−2.82818	+	16.0394i	−0.144513	+	0.819575i	0.823244	+	0.567688i	$0.192162\pi$
$383$	−2.82818	+	16.0394i	−0.144513	+	0.819575i	−0.967757	+	0.251887i	$0.918949\pi$
$384$	−21.7903	−	9.18315i	−1.11198	−	0.468626i
$385$	−34.1843	+	1.67103i	−1.74219	+	0.0851634i
$386$	−1.15825	−	2.00615i	−0.0589534	−	0.102110i
$387$	−1.14998	−	0.553555i	−0.0584570	−	0.0281388i
$388$	3.38138			0.171664
$389$	−2.45236	−	13.9080i	−0.124340	−	0.705164i	−0.981698	−	0.190445i	$-0.939007\pi$
$389$	−2.45236	−	13.9080i	−0.124340	−	0.705164i	0.857358	−	0.514720i	$-0.172104\pi$
$390$	−25.3676	−	23.5336i	−1.28454	−	1.19167i
$391$	−12.2518	−	10.2805i	−0.619602	−	0.519908i
$392$	9.34602	+	13.0558i	0.472045	+	0.659416i
$393$	20.1891	+	18.7294i	1.01840	+	0.944775i
$394$	−15.2769	+	12.8188i	−0.769639	+	0.645804i
$395$	−58.3704			−2.93694
$396$	−2.54043	−	5.62755i	−0.127662	−	0.282795i
$397$	−32.0812			−1.61011			−0.805055	−	0.593201i	$-0.797864\pi$
$397$	−32.0812			−1.61011			−0.805055	+	0.593201i	$0.797864\pi$
$398$	2.21283	+	12.5496i	0.110919	+	0.629053i
$399$	25.7225	+	0.0240478i	1.28774	+	0.00120389i
$400$	35.2193	−	12.8188i	1.76097	−	0.640939i
$401$	12.1883	+	10.2272i	0.608653	+	0.510720i	0.894214	−	0.447640i	$-0.147735\pi$
$401$	12.1883	+	10.2272i	0.608653	+	0.510720i	−0.285561	+	0.958361i	$0.592180\pi$
$402$	1.10094	+	0.0548491i	0.0549101	+	0.00273563i
$403$	7.47094	+	2.71920i	0.372154	+	0.135453i
$404$	1.24347	−	2.15375i	0.0618648	−	0.107153i
$405$	11.7465	−	29.9605i	0.583688	−	1.48875i
$406$	−14.6252	−	11.1017i	−0.725838	−	0.550970i
$407$	7.77223	−	6.52168i	0.385255	−	0.323268i
$408$	−5.73033	−	11.1750i	−0.283693	−	0.553245i
$409$	18.3397	−	6.67510i	0.906840	−	0.330063i	0.153849	−	0.988094i	$-0.450833\pi$
$409$	18.3397	−	6.67510i	0.906840	−	0.330063i	0.752990	+	0.658032i	$0.228611\pi$
$410$	−23.0572	−	19.3473i	−1.13871	−	0.955494i
$411$	−12.7540	−	5.37495i	−0.629109	−	0.265127i
$412$	−1.19505	−	6.77748i	−0.0588760	−	0.333902i
$413$	6.54907	+	4.97127i	0.322259	+	0.244620i
$414$	−14.1979	+	19.7554i	−0.697788	+	0.970923i
$415$	23.0862	+	39.9865i	1.13326	+	1.96286i
$416$	1.89378	+	10.7402i	0.0928502	+	0.526580i
$417$	−4.49447	+	19.6995i	−0.220095	+	0.964689i
$418$	30.5846	−	11.1319i	1.49594	−	0.544479i
$419$	10.2292	+	8.58334i	0.499730	+	0.419323i	0.857498	−	0.514487i	$-0.172018\pi$
$419$	10.2292	+	8.58334i	0.499730	+	0.419323i	−0.357768	+	0.933811i	$0.616462\pi$
$420$	−1.61012	−	9.18164i	−0.0785659	−	0.448018i
$421$	−11.6422	−	4.23741i	−0.567406	−	0.206519i	0.0423573	−	0.999103i	$-0.486513\pi$
$421$	−11.6422	−	4.23741i	−0.567406	−	0.206519i	−0.609763	+	0.792584i	$0.708735\pi$
$422$	22.6503	+	39.2315i	1.10260	+	1.90976i
$423$	18.7568	+	9.02876i	0.911988	+	0.438993i
$424$	−0.639321	+	1.10734i	−0.0310482	+	0.0537770i
$425$	23.1257	+	8.41708i	1.12176	+	0.408289i
$426$	30.3484	+	12.7898i	1.47039	+	0.619668i
$427$	−31.9102	−	9.87874i	−1.54424	−	0.478066i
$428$	−0.571871	+	3.24324i	−0.0276424	+	0.156768i
$429$	11.8495	−	18.3501i	0.572098	−	0.885951i
$430$	−2.29107	−	0.833882i	−0.110485	−	0.0402134i
$431$	−5.19506	−	8.99810i	−0.250237	−	0.433423i	0.713354	−	0.700804i	$-0.247175\pi$
$431$	−5.19506	−	8.99810i	−0.250237	−	0.433423i	−0.963591	+	0.267381i	$0.913842\pi$
$432$	−21.3417	+	13.0493i	−1.02680	+	0.627837i
$433$	11.4728			0.551346			0.275673	−	0.961251i	$-0.411099\pi$
$433$	11.4728			0.551346			0.275673	+	0.961251i	$0.411099\pi$
$434$	5.23890	+	8.12963i	0.251475	+	0.390235i
$435$	−12.2361	−	23.8622i	−0.586675	−	1.14411i
$436$	−2.59304	−	2.17581i	−0.124184	−	0.104203i
$437$	−21.7556	−	18.2551i	−1.04071	−	0.873260i
$438$	3.92705	+	1.65499i	0.187642	+	0.0790783i
$439$	7.19013	+	2.61699i	0.343166	+	0.124902i	0.507853	−	0.861444i	$-0.330439\pi$
$439$	7.19013	+	2.61699i	0.343166	+	0.124902i	−0.164687	+	0.986346i	$0.552661\pi$
$440$	14.8358	+	25.6963i	0.707268	+	1.22502i
$441$	21.0000	+	0.0392655i	0.999998	+	0.00186978i
$442$	−8.83075	+	15.2953i	−0.420036	+	0.727524i
$443$	1.96818	−	1.65150i	0.0935110	−	0.0784651i	−0.594834	−	0.803849i	$-0.702782\pi$
$443$	1.96818	−	1.65150i	0.0935110	−	0.0784651i	0.688345	+	0.725384i	$0.258338\pi$
$444$	2.02588	+	1.87941i	0.0961441	+	0.0891930i
$445$	7.08017	−	40.1536i	0.335632	−	1.90347i
$446$	12.8838	−	4.68932i	0.610066	−	0.222046i
$447$	12.5517	−	3.87288i	0.593673	−	0.183181i
$448$	5.58026	−	10.8573i	0.263642	−	0.512961i
$449$	−6.18139	+	10.7065i	−0.291718	+	0.505270i	−0.974216	−	0.225617i	$-0.927560\pi$
$449$	−6.18139	+	10.7065i	−0.291718	+	0.505270i	0.682498	+	0.730887i	$0.260894\pi$
$450$	10.1324	−	36.0370i	0.477647	−	1.69880i
$451$	9.50023	−	16.4549i	0.447349	−	0.774830i
$452$	7.92686	−	6.65142i	0.372848	−	0.312857i
$453$	−1.25883	−	10.0381i	−0.0591450	−	0.471631i
$454$	−25.7157	+	9.35974i	−1.20690	+	0.439275i
$455$	24.1975	−	22.4060i	1.13440	−	1.05041i
$456$	−10.1753	−	19.8434i	−0.476504	−	0.929254i
$457$	−3.23082	−	18.3229i	−0.151131	−	0.857107i	−0.962238	−	0.272209i	$-0.912246\pi$
$457$	−3.23082	−	18.3229i	−0.151131	−	0.857107i	0.811107	−	0.584898i	$-0.198865\pi$
$458$	−16.0814	−	27.8539i	−0.751437	−	1.30153i
$459$	−16.2426	−	2.44381i	−0.758140	−	0.114067i
$460$	−5.14601	+	8.91315i	−0.239934	+	0.415578i
$461$	19.2237	−	16.1306i	0.895338	−	0.751277i	−0.0739358	−	0.997263i	$-0.523556\pi$
$461$	19.2237	−	16.1306i	0.895338	−	0.751277i	0.969274	+	0.245985i	$0.0791116\pi$
$462$	24.9779	−	9.06479i	1.16208	−	0.421732i
$463$	2.39097	−	13.5598i	0.111118	−	0.630179i	−0.877482	−	0.479610i	$-0.840778\pi$
$463$	2.39097	−	13.5598i	0.111118	−	0.630179i	0.988599	−	0.150570i	$-0.0481107\pi$
$464$	−3.61973	+	20.5285i	−0.168042	+	0.953012i
$465$	1.75757	+	14.0151i	0.0815054	+	0.649936i
$466$	−21.0753	+	17.6843i	−0.976295	+	0.819209i
$467$	−19.7155			−0.912324			−0.456162	−	0.889897i	$-0.650776\pi$
$467$	−19.7155			−0.912324			−0.456162	+	0.889897i	$0.650776\pi$
$468$	5.36068	+	2.58041i	0.247798	+	0.119280i
$469$	−0.131696	+	1.04227i	−0.00608115	+	0.0481275i
$470$	37.3685	+	13.6010i	1.72368	+	0.627369i
$471$	−20.9952	−	19.4772i	−0.967406	−	0.897464i
$472$	1.23780	−	7.01993i	0.0569745	−	0.323119i
$473$	0.267260	−	1.51571i	0.0122887	−	0.0696924i
$474$	43.3035	−	13.3615i	1.98900	−	0.613715i
$475$	41.0644	+	14.9462i	1.88416	+	0.685779i
$476$	−4.38618	+	1.84365i	−0.201040	+	0.0845036i
$477$	0.688081	+	1.52423i	0.0315051	+	0.0697897i
$478$	22.4819			1.02830
$479$	−1.10935	+	0.930859i	−0.0506877	+	0.0425320i	−0.667780	−	0.744359i	$-0.732755\pi$
$479$	−1.10935	+	0.930859i	−0.0506877	+	0.0425320i	0.617092	+	0.786891i	$0.288311\pi$
$480$	−15.4439	+	11.7004i	−0.704915	+	0.534049i
$481$	−1.69762	+	9.62771i	−0.0774050	+	0.438986i
$482$	−0.847467	+	4.80622i	−0.0386011	+	0.218918i
$483$	−17.7474	−	14.9202i	−0.807536	−	0.678891i
$484$	0.910047	−	0.763620i	0.0413658	−	0.0347100i
$485$	−10.6264	+	18.4055i	−0.482521	+	0.835751i
$486$	−1.85620	+	24.9158i	−0.0841989	+	1.13020i
$487$	2.93129	+	5.07714i	0.132829	+	0.230067i	0.924766	−	0.380536i	$-0.124260\pi$
$487$	2.93129	+	5.07714i	0.132829	+	0.230067i	−0.791937	+	0.610603i	$0.790927\pi$
$488$	5.02885	+	28.5200i	0.227645	+	1.29104i
$489$	−7.38800	+	11.4411i	−0.334097	+	0.517383i
$490$	39.9256	−	3.91271i	1.80365	−	0.176758i
$491$	−20.5089	+	7.46463i	−0.925553	+	0.336874i	−0.760446	−	0.649402i	$-0.775019\pi$
$491$	−20.5089	+	7.46463i	−0.925553	+	0.336874i	−0.165108	+	0.986276i	$0.552797\pi$
$492$	4.76889	+	2.00976i	0.214998	+	0.0906070i
$493$	−10.4852	+	8.79809i	−0.472228	+	0.396246i
$494$	−15.6808	+	27.1599i	−0.705511	+	1.22198i
$495$	38.6155	+	3.85722i	1.73564	+	0.173369i
$496$	5.48983	−	9.50867i	0.246501	−	0.426952i
$497$	−14.3477	+	27.9158i	−0.643581	+	1.25220i
$498$	−26.2804	−	24.3803i	−1.17765	−	1.09251i
$499$	−6.33756	+	2.30668i	−0.283708	+	0.103261i	−0.479955	−	0.877293i	$-0.659347\pi$
$499$	−6.33756	+	2.30668i	−0.283708	+	0.103261i	0.196247	+	0.980555i	$0.437125\pi$
$500$	0.983853	−	5.57971i	0.0439993	−	0.249532i
$501$	−8.81668	+	2.72043i	−0.393900	+	0.121540i
$502$	14.2544	−	11.9609i	0.636207	−	0.533841i
$503$	12.2690	−	21.2506i	0.547050	−	0.947518i	−0.451425	−	0.892309i	$-0.649084\pi$
$503$	12.2690	−	21.2506i	0.547050	−	0.947518i	0.998475	−	0.0552090i	$-0.0175825\pi$
$504$	−8.29205	−	16.2081i	−0.369357	−	0.721964i
$505$	7.81551	+	13.5369i	0.347786	+	0.602383i
$506$	−27.5684	−	10.0341i	−1.22557	−	0.446070i
$507$	−0.182807	−	1.45773i	−0.00811873	−	0.0647399i
$508$	3.37593	+	2.83275i	0.149783	+	0.125683i
$509$	−18.4492	−	15.4808i	−0.817749	−	0.686173i	0.134695	−	0.990887i	$-0.456994\pi$
$509$	−18.4492	−	15.4808i	−0.817749	−	0.686173i	−0.952444	+	0.304715i	$0.901439\pi$
$510$	−31.3390	−	1.56131i	−1.38772	−	0.0691361i
$511$	−1.85657	+	3.61228i	−0.0821300	+	0.159798i
$512$	−7.02366			−0.310405
$513$	−28.8420	−	4.33947i	−1.27340	−	0.191592i
$514$	0.239910	+	0.415535i	0.0105820	+	0.0183285i
$515$	40.6468	+	14.7942i	1.79111	+	0.651911i
$516$	0.418677	+	0.0208585i	0.0184312	+	0.000918244i
$517$	−4.35915	+	24.7220i	−0.191715	+	1.08727i
$518$	−8.72609	+	8.08004i	−0.383403	+	0.355017i
$519$	5.09755	−	3.86195i	0.223758	−	0.169521i
$520$	−26.8662	−	9.77849i	−1.17816	−	0.428815i
$521$	−10.6263	+	18.4053i	−0.465546	+	0.806349i	−0.999226	−	0.0393371i	$-0.987475\pi$
$521$	−10.6263	+	18.4053i	−0.465546	+	0.806349i	0.533680	+	0.845687i	$0.320809\pi$
$522$	14.5399	+	14.9018i	0.636395	+	0.652234i
$523$	6.63847	+	11.4982i	0.290280	+	0.502780i	0.973876	−	0.227081i	$-0.0729182\pi$
$523$	6.63847	+	11.4982i	0.290280	+	0.502780i	−0.683596	+	0.729861i	$0.739585\pi$
$524$	−8.49971	−	3.09364i	−0.371311	−	0.135146i
$525$	33.5137	+	12.2335i	1.46266	+	0.533914i
$526$	−5.88782	−	4.94047i	−0.256721	−	0.215415i
$527$	6.77469	−	2.46579i	0.295110	−	0.107411i
$528$	−22.1152	−	20.5163i	−0.962440	−	0.892857i
$529$	0.451341	+	2.55968i	0.0196235	+	0.111291i
$530$	1.59736	+	2.76671i	0.0693849	+	0.120178i
$531$	−6.51087	−	6.67292i	−0.282548	−	0.289580i
$532$	−7.78854	+	3.27377i	−0.337676	+	0.141936i
$533$	3.17917	+	18.0300i	0.137705	+	0.780965i
$534$	3.93894	+	31.4097i	0.170455	+	1.35923i
$535$	−15.8564	−	13.3051i	−0.685532	−	0.575230i
$536$	0.855856	−	0.311506i	0.0369673	−	0.0134550i
$537$	38.9551	+	1.94074i	1.68104	+	0.0837493i
$538$	10.7081	−	8.98514i	0.461658	−	0.387377i
$539$	6.80899	+	24.3918i	0.293284	+	1.05063i
$540$	0.266292	+	10.5665i	0.0114594	+	0.454710i
$541$	21.6605	−	37.5171i	0.931259	−	1.61299i	0.150086	−	0.988673i	$-0.452045\pi$
$541$	21.6605	−	37.5171i	0.931259	−	1.61299i	0.781173	−	0.624315i	$-0.214622\pi$
$542$	−7.45032	−	2.71169i	−0.320019	−	0.116477i
$543$	5.54049	+	10.8048i	0.237765	+	0.463678i
$544$	7.57579	+	6.35684i	0.324809	+	0.272547i
$545$	19.9923	−	7.27661i	0.856378	−	0.311696i
$546$	−12.8226	+	22.1615i	−0.548756	+	0.948424i
$547$	−5.36526	−	30.4279i	−0.229402	−	1.30100i	−0.854088	−	0.520128i	$-0.825884\pi$
$547$	−5.36526	−	30.4279i	−0.229402	−	1.30100i	0.624686	−	0.780876i	$-0.285227\pi$
$548$	4.54588			0.194190
$549$	34.1288	+	16.4282i	1.45658	+	0.701139i
$550$	45.1429			1.92490
$551$	−18.6185	+	15.6228i	−0.793174	+	0.665552i
$552$	−4.47118	+	19.5974i	−0.190306	+	0.834123i
$553$	9.56769	+	42.1173i	0.406860	+	1.79101i
$554$	−28.4076	−	23.8368i	−1.20692	−	1.01273i
$555$	−16.5966	+	5.12097i	−0.704487	+	0.217373i
$556$	−1.15243	−	6.53578i	−0.0488741	−	0.277179i
$557$	32.3598			1.37113			0.685564	−	0.728012i	$-0.259556\pi$
$557$	32.3598			1.37113			0.685564	+	0.728012i	$0.259556\pi$
$558$	−4.51209	−	9.99514i	−0.191012	−	0.423128i
$559$	0.741505	+	1.28432i	0.0313623	+	0.0543211i
$560$	−24.6702	−	38.2828i	−1.04251	−	1.61774i
$561$	−2.46469	−	19.6538i	−0.104059	−	0.829785i
$562$	1.24897	−	7.08325i	0.0526845	−	0.298789i
$563$	26.8579	−	9.77549i	1.13193	−	0.411988i	0.292936	−	0.956132i	$-0.405368\pi$
$563$	26.8579	−	9.77549i	1.13193	−	0.411988i	0.838992	+	0.544144i	$0.183146\pi$
$564$	−6.82883	−	0.340213i	−0.287546	−	0.0143255i
$565$	11.2938	+	64.0504i	0.475134	+	2.69462i
$566$	−14.7102			−0.618315
$567$	−23.5434	−	3.56478i	−0.988730	−	0.149707i
$568$	27.2111			1.14175
$569$	0.148211	+	0.840544i	0.00621331	+	0.0352374i	0.987757	−	0.156002i	$-0.0498605\pi$
$569$	0.148211	+	0.840544i	0.00621331	+	0.0352374i	−0.981543	+	0.191239i	$0.938749\pi$
$570$	−55.6487	−	2.77242i	−2.33087	−	0.116124i
$571$	−20.1001	+	7.31585i	−0.841165	+	0.306159i	−0.726433	−	0.687238i	$-0.758823\pi$
$571$	−20.1001	+	7.31585i	−0.841165	+	0.306159i	−0.114732	+	0.993396i	$0.536601\pi$
$572$	−1.24584	+	7.06552i	−0.0520913	+	0.295424i
$573$	−0.270777	−	2.15921i	−0.0113119	−	0.0902024i
$574$	−10.1807	+	19.8082i	−0.424933	+	0.826779i
$575$	−19.6951	−	34.1129i	−0.821343	−	1.42261i
$576$	−8.07816	+	11.2402i	−0.336590	+	0.468341i
$577$	−7.72964			−0.321789			−0.160895	−	0.986972i	$-0.551438\pi$
$577$	−7.72964			−0.321789			−0.160895	+	0.986972i	$0.551438\pi$
$578$	−1.95036	−	11.0610i	−0.0811241	−	0.460078i
$579$	−2.39206	+	0.738083i	−0.0994107	+	0.0306737i
$580$	6.74727	+	5.66163i	0.280165	+	0.235087i
$581$	25.0682	−	23.2122i	1.04000	−	0.963005i
$582$	3.67028	−	16.0871i	0.152138	−	0.666830i
$583$	−1.54489	+	1.29632i	−0.0639830	+	0.0536881i
$584$	3.52109			0.145704
$585$	−30.8923	+	21.0700i	−1.27724	+	0.871136i
$586$	−3.20930			−0.132575
$587$	−2.02283	−	11.4720i	−0.0834910	−	0.473501i	−0.997672	−	0.0681948i	$-0.978276\pi$
$587$	−2.02283	−	11.4720i	−0.0834910	−	0.473501i	0.914181	−	0.405306i	$-0.132835\pi$
$588$	−6.36110	+	2.66678i	−0.262327	+	0.109976i
$589$	12.0298	−	4.37850i	0.495680	−	0.180413i
$590$	−13.6433	−	11.4481i	−0.561686	−	0.471310i
$591$	9.83351	+	19.1768i	0.404496	+	0.788829i
$592$	12.6869	+	4.61767i	0.521430	+	0.189785i
$593$	3.92478	−	6.79792i	0.161172	−	0.279157i	−0.774118	−	0.633042i	$-0.781806\pi$
$593$	3.92478	−	6.79792i	0.161172	−	0.279157i	0.935289	+	0.353885i	$0.115139\pi$
$594$	−29.5308	+	5.97786i	−1.21166	+	0.245274i
$595$	3.74880	−	29.6688i	0.153686	−	1.21630i
$596$	−3.30502	+	2.77324i	−0.135379	+	0.113596i
$597$	13.7539	+	0.685221i	0.562910	+	0.0280442i
$598$	26.5639	−	9.66847i	1.08628	−	0.395373i
$599$	21.5059	+	18.0456i	0.878709	+	0.737324i	0.965913	−	0.258866i	$-0.0833489\pi$
$599$	21.5059	+	18.0456i	0.878709	+	0.737324i	−0.0872045	+	0.996190i	$0.527793\pi$
$600$	−3.84865	−	30.6897i	−0.157120	−	1.25290i
$601$	5.35643	+	30.3778i	0.218493	+	1.23914i	0.874741	+	0.484592i	$0.161032\pi$
$601$	5.35643	+	30.3778i	0.218493	+	1.23914i	−0.656247	+	0.754546i	$0.727857\pi$
$602$	−0.226151	+	1.78981i	−0.00921724	+	0.0729472i
$603$	0.322429	−	1.14675i	0.0131303	−	0.0466994i
$604$	1.66143	+	2.87768i	0.0676025	+	0.117091i
$605$	1.29659	+	7.35334i	0.0527140	+	0.298956i
$606$	−8.89684	−	8.25361i	−0.361409	−	0.335280i
$607$	10.9043	−	3.96884i	0.442592	−	0.161090i	−0.111105	−	0.993809i	$-0.535439\pi$
$607$	10.9043	−	3.96884i	0.442592	−	0.161090i	0.553697	+	0.832719i	$0.313217\pi$
$608$	13.4523	+	11.2878i	0.545564	+	0.457782i
$609$	−15.2121	+	12.7403i	−0.616427	+	0.516263i
$610$	67.9937	+	24.7477i	2.75298	+	1.00200i
$611$	−12.0943	−	20.9480i	−0.489284	−	0.847465i
$612$	5.22790	−	1.33216i	0.211325	−	0.0538494i
$613$	−10.4006	+	18.0144i	−0.420078	+	0.727596i	−0.995947	−	0.0899461i	$-0.971331\pi$
$613$	−10.4006	+	18.0144i	−0.420078	+	0.727596i	0.575869	+	0.817542i	$0.304664\pi$
$614$	−8.75079	−	3.18503i	−0.353153	−	0.128537i
$615$	−25.9264	+	19.6420i	−1.04545	+	0.792043i
$616$	16.1094	−	14.9167i	0.649068	−	0.601013i
$617$	0.325473	−	1.84585i	0.0131031	−	0.0743112i	−0.977555	−	0.210680i	$-0.932432\pi$
$617$	0.325473	−	1.84585i	0.0131031	−	0.0743112i	0.990658	+	0.136369i	$0.0435433\pi$
$618$	−33.5413	−	1.67103i	−1.34923	−	0.0672187i
$619$	−25.8571	−	9.41120i	−1.03928	−	0.378268i	−0.234674	−	0.972074i	$-0.575402\pi$
$619$	−25.8571	−	9.41120i	−1.03928	−	0.378268i	−0.804608	+	0.593806i	$0.797625\pi$
$620$	−2.31968	−	4.01780i	−0.0931604	−	0.161359i
$621$	17.4011	+	19.7074i	0.698281	+	0.790829i
$622$	−19.7009			−0.789932
$623$	−30.1334	+	1.47301i	−1.20727	+	0.0590149i
$624$	29.0310	+	1.44633i	1.16217	+	0.0578994i
$625$	−2.53988	−	2.13121i	−0.101595	−	0.0852484i
$626$	39.2870	+	32.9657i	1.57022	+	1.31757i
$627$	−4.37655	−	34.8993i	−0.174783	−	1.39374i
$628$	8.83907	+	3.21716i	0.352717	+	0.128379i
$629$	4.43257	+	7.67744i	0.176738	+	0.306120i
$630$	−45.4297	−	2.30589i	−1.80996	−	0.0918689i
$631$	6.69805	−	11.6014i	0.266645	−	0.461843i	−0.701348	−	0.712819i	$-0.747418\pi$
$631$	6.69805	−	11.6014i	0.266645	−	0.461843i	0.967993	+	0.250976i	$0.0807515\pi$
$632$	28.6838	−	24.0685i	1.14098	−	0.957395i
$633$	46.7782	−	14.4337i	1.85927	−	0.573687i
$634$	−0.0632150	+	0.358510i	−0.00251059	+	0.0142383i
$635$	−26.0285	+	9.47360i	−1.03291	+	0.375948i
$636$	−0.402687	−	0.373573i	−0.0159676	−	0.0148131i
$637$	−20.1334	−	13.7871i	−0.797714	−	0.546265i
$638$	−12.5537	+	21.7436i	−0.497004	+	0.860836i
$639$	20.7701	−	28.9002i	0.821654	−	1.14327i
$640$	−24.4078	+	42.2755i	−0.964803	+	1.67109i
$641$	−2.28008	+	1.91322i	−0.0900579	+	0.0755675i	−0.686705	−	0.726936i	$-0.740944\pi$
$641$	−2.28008	+	1.91322i	−0.0900579	+	0.0755675i	0.596647	+	0.802504i	$0.296499\pi$
$642$	14.8091	+	6.24104i	0.584470	+	0.246314i
$643$	−16.9747	+	6.17828i	−0.669417	+	0.243648i	−0.654297	−	0.756238i	$-0.727035\pi$
$643$	−16.9747	+	6.17828i	−0.669417	+	0.243648i	−0.0151199	+	0.999886i	$0.504813\pi$
$644$	7.27479	+	2.25213i	0.286667	+	0.0887462i
$645$	−1.42928	+	2.21339i	−0.0562779	+	0.0871521i
$646$	4.93835	+	28.0068i	0.194297	+	1.10191i
$647$	3.68949	+	6.39038i	0.145049	+	0.251232i	0.929391	−	0.369096i	$-0.120333\pi$
$647$	3.68949	+	6.39038i	0.145049	+	0.251232i	−0.784342	+	0.620328i	$0.786999\pi$
$648$	6.58160	+	19.5664i	0.258550	+	0.768641i
$649$	5.62144	−	9.73661i	0.220661	−	0.382195i
$650$	−33.3214	+	27.9599i	−1.30697	+	1.09668i
$651$	9.82455	−	3.56544i	0.385054	−	0.139741i
$652$	0.776767	−	4.40527i	0.0304205	−	0.172523i
$653$	1.64847	−	9.34895i	0.0645097	−	0.365853i	−0.935415	−	0.353553i	$-0.884974\pi$
$653$	1.64847	−	9.34895i	0.0645097	−	0.365853i	0.999924	−	0.0123001i	$-0.00391535\pi$
$654$	−13.1661	+	9.97476i	−0.514836	+	0.390044i
$655$	43.5507	−	36.5434i	1.70167	−	1.42787i
$656$	25.2839			0.987169
$657$	2.68764	−	3.73966i	0.104855	−	0.145898i
$658$	3.68864	−	29.1927i	0.143798	−	1.13805i
$659$	2.23780	+	0.814492i	0.0871723	+	0.0317281i	0.385238	−	0.922817i	$-0.374119\pi$
$659$	2.23780	+	0.814492i	0.0871723	+	0.0317281i	−0.298066	+	0.954545i	$0.596342\pi$
$660$	−12.1798	+	3.75815i	−0.474099	+	0.146286i
$661$	−5.82882	+	33.0569i	−0.226715	+	1.28576i	0.632665	+	0.774426i	$0.281961\pi$
$661$	−5.82882	+	33.0569i	−0.226715	+	1.28576i	−0.859380	+	0.511338i	$0.829150\pi$
$662$	−4.18739	+	23.7479i	−0.162747	+	0.922986i
$663$	13.9922	+	12.9806i	0.543411	+	0.504123i
$664$	−27.8329	−	10.1303i	−1.08012	−	0.393133i
$665$	6.65673	−	52.6828i	0.258137	−	2.04295i
$666$	11.1404	−	7.59823i	0.431680	−	0.294426i
$667$	21.9078			0.848275
$668$	2.32155	−	1.94801i	0.0898236	−	0.0753710i
$669$	−1.84363	−	14.7014i	−0.0712788	−	0.568387i
$670$	0.395156	−	2.24104i	0.0152662	−	0.0865791i
$671$	−7.93167	+	44.9827i	−0.306199	+	1.73654i
$672$	10.9739	+	9.22571i	0.423328	+	0.355890i
$673$	−2.48814	+	2.08779i	−0.0959106	+	0.0804785i	−0.689482	−	0.724303i	$-0.742162\pi$
$673$	−2.48814	+	2.08779i	−0.0959106	+	0.0804785i	0.593572	+	0.804781i	$0.297717\pi$
$674$	7.83603	−	13.5724i	0.301833	−	0.522789i
$675$	−35.5323	−	19.3378i	−1.36764	−	0.744311i
$676$	0.241272	+	0.417895i	0.00927968	+	0.0160729i
$677$	−1.87542	−	10.6360i	−0.0720781	−	0.408775i	−0.999404	−	0.0345204i	$-0.989010\pi$
$677$	−1.87542	−	10.6360i	−0.0720781	−	0.408775i	0.927326	−	0.374255i	$-0.122101\pi$
$678$	−23.0403	−	44.9321i	−0.884858	−	1.72561i
$679$	15.0223	+	4.65060i	0.576504	+	0.178474i
$680$	−24.3624	+	8.86720i	−0.934256	+	0.340041i
$681$	3.67982	+	29.3435i	0.141011	+	1.12444i
$682$	10.1306	−	8.50062i	0.387922	−	0.325506i
$683$	−14.4764	+	25.0739i	−0.553925	+	0.959427i	0.444061	+	0.895997i	$0.353537\pi$
$683$	−14.4764	+	25.0739i	−0.553925	+	0.959427i	−0.997986	+	0.0634303i	$0.979796\pi$
$684$	9.28317	−	2.36552i	0.354951	−	0.0904479i
$685$	−14.2860	+	24.7441i	−0.545841	+	0.945424i
$686$	−9.36755	−	28.1670i	−0.357655	−	1.07542i
$687$	−33.2120	+	10.2477i	−1.26712	+	0.390975i
$688$	1.92455	−	0.700479i	0.0733728	−	0.0267055i
$689$	0.337439	−	1.91371i	0.0128554	−	0.0729065i
$690$	36.8190	+	34.1571i	1.40168	+	1.30034i
$691$	6.15769	−	5.16692i	0.234250	−	0.196559i	−0.518105	−	0.855317i	$-0.673362\pi$
$691$	6.15769	−	5.16692i	0.234250	−	0.196559i	0.752355	+	0.658758i	$0.228918\pi$
$692$	−1.05027	+	1.81912i	−0.0399254	+	0.0691527i
$693$	−3.54640	−	28.4953i	−0.134717	−	1.08245i
$694$	−28.3538	−	49.1102i	−1.07630	−	1.86420i
$695$	39.1972	+	14.2666i	1.48683	+	0.541163i
$696$	15.8523	+	6.68066i	0.600879	+	0.253230i
$697$	12.7178	+	10.6715i	0.481721	+	0.404212i
$698$	−32.5241	−	27.2909i	−1.23105	−	1.03298i
$699$	13.5659	+	26.4555i	0.513108	+	1.00064i
$700$	−11.7041	+	0.572131i	−0.442374	+	0.0216245i
$701$	47.3267			1.78750			0.893752	−	0.448560i	$-0.148063\pi$
$701$	47.3267			1.78750			0.893752	+	0.448560i	$0.148063\pi$
$702$	18.0951	−	22.7028i	0.682956	−	0.856862i
$703$	7.87091	+	13.6328i	0.296857	+	0.514172i
$704$	−15.6856	−	5.70909i	−0.591173	−	0.215169i
$705$	23.3123	−	36.1015i	0.877993	−	1.35966i
$706$	−8.38169	+	47.5349i	−0.315449	+	1.78900i
$707$	8.48647	−	7.85816i	0.319167	−	0.295537i
$708$	2.82182	+	1.18921i	0.106051	+	0.0446931i
$709$	−34.3099	−	12.4878i	−1.28854	−	0.468989i	−0.395290	−	0.918557i	$-0.629356\pi$
$709$	−34.3099	−	12.4878i	−1.28854	−	0.468989i	−0.893246	+	0.449568i	$0.851578\pi$
$710$	33.9939	−	58.8791i	1.27577	−	2.20969i
$711$	−3.66833	−	48.8356i	−0.137573	−	1.83148i
$712$	13.0777	+	22.6513i	0.490109	+	0.848894i
$713$	−10.8435	−	3.94670i	−0.406091	−	0.147805i
$714$	4.01032	+	22.8686i	0.150082	+	0.855837i
$715$	−34.5438	−	28.9857i	−1.29186	−	1.08400i
$716$	−12.0382	+	4.38153i	−0.449887	+	0.163745i
$717$	5.40412	−	23.6866i	0.201821	−	0.884592i
$718$	−5.88516	−	33.3764i	−0.219632	−	1.24560i
$719$	12.2038	+	21.1376i	0.455126	+	0.788301i	0.998695	−	0.0510633i	$-0.0162610\pi$
$719$	12.2038	+	21.1376i	0.455126	+	0.788301i	−0.543570	+	0.839364i	$0.682928\pi$
$720$	21.2476	+	47.0675i	0.791852	+	1.75410i
$721$	4.01224	−	31.7537i	0.149423	−	1.18257i
$722$	3.48095	+	19.7415i	0.129548	+	0.734701i
$723$	4.86004	+	2.04818i	0.180747	+	0.0761726i
$724$	−3.05516	−	2.56358i	−0.113544	−	0.0952749i
$725$	−31.6773	+	11.5296i	−1.17646	+	0.428198i
$726$	−2.64516	−	5.15845i	−0.0981709	−	0.191448i
$727$	−2.68185	+	2.25034i	−0.0994645	+	0.0834606i	−0.691164	−	0.722698i	$-0.742902\pi$
$727$	−2.68185	+	2.25034i	−0.0994645	+	0.0834606i	0.591699	+	0.806159i	$0.298457\pi$
$728$	−2.65196	+	20.9882i	−0.0982881	+	0.777873i
$729$	25.8046	+	7.94482i	0.955728	+	0.294253i
$730$	4.39877	−	7.61890i	0.162806	−	0.281988i
$731$	1.26370	+	0.459950i	0.0467397	+	0.0170119i
$732$	−12.4253	−	0.619032i	−0.459254	−	0.0228801i
$733$	−21.3779	−	17.9382i	−0.789611	−	0.662562i	0.156038	−	0.987751i	$-0.450128\pi$
$733$	−21.3779	−	17.9382i	−0.789611	−	0.662562i	−0.945649	+	0.325189i	$0.894572\pi$
$734$	45.3922	−	16.5214i	1.67546	−	0.609816i
$735$	5.47480	−	43.0054i	0.201941	−	1.58628i
$736$	−2.74867	−	15.5885i	−0.101317	−	0.574599i
$737$	1.43652			0.0529147
$738$	14.7379	−	20.5067i	0.542508	−	0.754862i
$739$	−53.5371			−1.96939			−0.984696	−	0.174278i	$-0.944241\pi$
$739$	−53.5371			−1.96939			−0.984696	+	0.174278i	$0.944241\pi$
$740$	4.37012	−	3.66696i	0.160649	−	0.134800i
$741$	24.8459	+	23.0496i	0.912737	+	0.846747i
$742$	1.73449	−	1.60608i	0.0636753	−	0.0589610i
$743$	−0.0938177	−	0.0787224i	−0.00344184	−	0.00288805i	0.641065	−	0.767487i	$-0.278493\pi$
$743$	−0.0938177	−	0.0787224i	−0.00344184	−	0.00288805i	−0.644507	+	0.764598i	$0.722937\pi$
$744$	−6.64270	−	6.16244i	−0.243533	−	0.225926i
$745$	−4.70884	−	26.7052i	−0.172519	−	0.978401i
$746$	18.7448			0.686296
$747$	−32.0039	+	21.8281i	−1.17096	+	0.798647i
$748$	3.25295	+	5.63427i	0.118940	+	0.206009i
$749$	−7.00124	+	13.6221i	−0.255820	+	0.497741i
$750$	−25.4778	−	10.7372i	−0.930318	−	0.392066i
$751$	−3.61080	+	20.4779i	−0.131760	+	0.747249i	0.845301	+	0.534290i	$0.179421\pi$
$751$	−3.61080	+	20.4779i	−0.131760	+	0.747249i	−0.977061	+	0.212959i	$0.931690\pi$
$752$	−31.3904	+	11.4252i	−1.14469	+	0.416633i
$753$	−9.17536	−	17.8933i	−0.334369	−	0.652070i
$754$	−4.20097	−	23.8249i	−0.152990	−	0.867652i
$755$	−20.8850			−0.760083
$756$	7.58063	−	1.92414i	0.275705	−	0.0699801i
$757$	−10.0784			−0.366305			−0.183152	−	0.983085i	$-0.558630\pi$
$757$	−10.0784			−0.366305			−0.183152	+	0.983085i	$0.558630\pi$
$758$	−8.55941	−	48.5428i	−0.310892	−	1.76316i
$759$	−17.1985	+	26.6337i	−0.624268	+	0.966741i
$760$	−43.2603	+	15.7455i	−1.56922	+	0.571148i
$761$	5.74627	−	32.5887i	0.208302	−	1.18134i	−0.683856	−	0.729617i	$-0.739698\pi$
$761$	5.74627	−	32.5887i	0.208302	−	1.18134i	0.892158	−	0.451724i	$-0.149191\pi$
$762$	17.1413	−	12.9864i	0.620963	−	0.470447i
$763$	−8.52746	−	13.2328i	−0.308715	−	0.479058i
$764$	0.357376	+	0.618993i	0.0129294	+	0.0223944i
$765$	−9.17813	+	32.6430i	−0.331836	+	1.18021i
$766$	−26.1042			−0.943182
$767$	1.88117	+	10.6686i	0.0679250	+	0.385222i
$768$	4.87502	−	21.3675i	0.175912	−	0.771032i
$769$	31.1436	+	26.1326i	1.12307	+	0.942364i	0.998755	−	0.0498793i	$-0.0158837\pi$
$769$	31.1436	+	26.1326i	1.12307	+	0.942364i	0.124311	+	0.992243i	$0.460328\pi$
$770$	−12.1517	−	53.4924i	−0.437919	−	1.92773i
$771$	0.495470	−	0.152880i	0.0178439	−	0.00550583i
$772$	0.629863	−	0.528518i	0.0226693	−	0.0190218i
$773$	29.3462			1.05551			0.527754	−	0.849397i	$-0.323034\pi$
$773$	29.3462			1.05551			0.527754	+	0.849397i	$0.323034\pi$
$774$	0.553683	−	1.96923i	0.0199017	−	0.0707826i
$775$	17.7560			0.637814
$776$	−2.36743	−	13.4263i	−0.0849857	−	0.481978i
$777$	6.41545	+	11.1359i	0.230153	+	0.399499i
$778$	21.2703	−	7.74174i	0.762576	−	0.277555i
$779$	22.5830	+	18.9494i	0.809120	+	0.678932i
$780$	6.66264	−	10.3178i	0.238561	−	0.369435i
$781$	40.3300	+	14.6789i	1.44312	+	0.525253i
$782$	12.8171	−	22.1999i	0.458339	−	0.793867i
$783$	19.1953	−	11.7370i	0.685985	−	0.419445i
$784$	−23.5792	+	24.0759i	−0.842114	+	0.859852i
$785$	−45.2896	+	38.0025i	−1.61645	+	1.35637i
$786$	−23.9440	+	37.0798i	−0.854056	+	1.32259i
$787$	−31.5702	+	11.4906i	−1.12536	+	0.409596i	−0.836604	−	0.547808i	$-0.815462\pi$
$787$	−31.5702	+	11.4906i	−1.12536	+	0.409596i	−0.288751	+	0.957404i	$0.593240\pi$
$788$	−5.42243	−	4.54996i	−0.193166	−	0.162086i
$789$	−6.62048	+	5.01573i	−0.235695	+	0.178565i
$790$	−16.2456	−	92.1335i	−0.577993	−	3.27796i
$791$	44.3644	−	18.6478i	1.57742	−	0.663038i
$792$	−20.5665	+	14.0273i	−0.730798	+	0.498437i
$793$	−22.0061	−	38.1158i	−0.781461	−	1.35353i
$794$	−8.92882	−	50.6378i	−0.316872	−	1.79707i
$795$	3.29893	−	1.01790i	0.117001	−	0.0361012i
$796$	−4.25032	+	1.54699i	−0.150649	+	0.0548317i
$797$	−25.3979	−	21.3113i	−0.899638	−	0.754886i	0.0704814	−	0.997513i	$-0.477546\pi$
$797$	−25.3979	−	21.3113i	−0.899638	−	0.754886i	−0.970120	+	0.242627i	$0.921991\pi$
$798$	7.12111	+	40.6078i	0.252085	+	1.43750i
$799$	−20.6116	−	7.50201i	−0.729186	−	0.265402i
$800$	12.1783	+	21.0933i	0.430566	+	0.745763i
$801$	34.0395	+	3.40014i	1.20273	+	0.120138i
$802$	−12.7506	+	22.0847i	−0.450240	+	0.779838i
$803$	5.21866	+	1.89944i	0.184163	+	0.0670297i
$804$	0.0486845	+	0.388217i	0.00171697	+	0.0136914i
$805$	−35.1208	+	32.5205i	−1.23784	+	1.14620i
$806$	−2.21275	+	12.5491i	−0.0779409	+	0.442025i
$807$	−6.89263	−	13.4417i	−0.242632	−	0.473169i
$808$	−9.42242	−	3.42948i	−0.331480	−	0.120649i
$809$	−5.38408	−	9.32549i	−0.189294	−	0.327867i	0.755721	−	0.654894i	$-0.227287\pi$
$809$	−5.38408	−	9.32549i	−0.189294	−	0.327867i	−0.945015	+	0.327027i	$0.893953\pi$
$810$	50.5597	+	10.2024i	1.77649	+	0.358476i
$811$	46.9241			1.64773			0.823864	−	0.566787i	$-0.191814\pi$
$811$	46.9241			1.64773			0.823864	+	0.566787i	$0.191814\pi$
$812$	2.97919	−	5.79652i	0.104549	−	0.203418i
$813$	−4.64787	+	7.19770i	−0.163008	+	0.252434i
$814$	12.4572	+	10.4528i	0.436623	+	0.366370i
$815$	21.5376	+	18.0722i	0.754430	+	0.633042i
$816$	21.0095	−	15.9170i	0.735481	−	0.557206i
$817$	2.24395	+	0.816732i	0.0785060	+	0.0285738i
$818$	15.6405	+	27.0901i	0.546856	+	0.947182i
$819$	20.2667	+	18.8367i	0.708176	+	0.658209i
$820$	5.34173	−	9.25214i	0.186541	−	0.323099i
$821$	−32.5061	+	27.2758i	−1.13447	+	0.951934i	−0.999244	−	0.0388810i	$-0.987621\pi$
$821$	−32.5061	+	27.2758i	−1.13447	+	0.951934i	−0.135227	+	0.990815i	$0.543176\pi$
$822$	4.93428	−	21.6272i	0.172103	−	0.754336i
$823$	−8.17450	+	46.3599i	−0.284945	+	1.61600i	0.420537	+	0.907275i	$0.361842\pi$
$823$	−8.17450	+	46.3599i	−0.284945	+	1.61600i	−0.705482	+	0.708728i	$0.749269\pi$
$824$	−26.0744	+	9.49032i	−0.908346	+	0.330611i
$825$	10.8513	−	47.5617i	0.377793	−	1.65589i
$826$	−6.02406	+	11.7208i	−0.209604	+	0.407820i
$827$	−13.6643	+	23.6672i	−0.475153	+	0.822988i	−0.999595	−	0.0284575i	$-0.990940\pi$
$827$	−13.6643	+	23.6672i	−0.475153	+	0.822988i	0.524442	+	0.851446i	$0.324274\pi$
$828$	−7.78060	−	3.74526i	−0.270394	−	0.130157i
$829$	18.3477	−	31.7792i	0.637242	−	1.10374i	−0.348793	−	0.937200i	$-0.613408\pi$
$829$	18.3477	−	31.7792i	0.637242	−	1.10374i	0.986035	−	0.166536i	$-0.0532582\pi$
$830$	−56.6905	+	47.5689i	−1.96775	+	1.65114i
$831$	−31.9425	+	24.1999i	−1.10807	+	0.839487i
$832$	15.1140	−	5.50106i	0.523985	−	0.190715i
$833$	−22.0220	+	2.15816i	−0.763017	+	0.0747757i
$834$	−32.3451	−	1.61144i	−1.12002	−	0.0557995i
$835$	3.30764	+	18.7586i	0.114466	+	0.649167i
$836$	5.77626	+	10.0048i	0.199776	+	0.346022i
$837$	−11.6153	+	2.35126i	−0.401484	+	0.0812716i
$838$	−10.7012	+	18.5350i	−0.369666	+	0.640281i
$839$	−3.04558	+	2.55555i	−0.105145	+	0.0882273i	−0.693845	−	0.720125i	$-0.744085\pi$
$839$	−3.04558	+	2.55555i	−0.105145	+	0.0882273i	0.588699	+	0.808352i	$0.299640\pi$
$840$	−35.3300	+	12.8217i	−1.21900	+	0.442389i
$841$	−1.78011	+	10.0955i	−0.0613829	+	0.348120i
$842$	3.44820	−	19.5557i	0.118833	−	0.673934i
$843$	−7.16256	−	3.01853i	−0.246692	−	0.103964i
$844$	−12.3174	+	10.3355i	−0.423981	+	0.355762i
$845$	−3.03291			−0.104335
$846$	−9.03086	+	32.1192i	−0.310487	+	1.10428i
$847$	5.09328	−	2.14087i	0.175007	−	0.0735611i
$848$	−2.52179	−	0.917858i	−0.0865988	−	0.0315194i
$849$	−3.53598	+	15.4984i	−0.121354	+	0.531903i
$850$	−6.84941	+	38.8450i	−0.234933	+	1.33237i
$851$	2.46396	−	13.9738i	0.0844636	−	0.479017i
$852$	−2.60015	+	11.3966i	−0.0890798	+	0.390442i
$853$	−14.4820	−	5.27103i	−0.495855	−	0.180476i	0.0819738	−	0.996634i	$-0.473878\pi$
$853$	−14.4820	−	5.27103i	−0.495855	−	0.180476i	−0.577829	+	0.816158i	$0.696100\pi$
$854$	6.71165	−	53.1174i	0.229668	−	1.81764i
$855$	−16.2976	+	57.9641i	−0.557366	+	1.98233i
$856$	13.2782			0.453840
$857$	22.2664	−	18.6837i	0.760606	−	0.638224i	−0.177679	−	0.984089i	$-0.556859\pi$
$857$	22.2664	−	18.6837i	0.760606	−	0.638224i	0.938284	+	0.345865i	$0.112414\pi$
$858$	32.2622	+	13.5963i	1.10141	+	0.464172i
$859$	−6.51948	+	36.9738i	−0.222442	+	1.26153i	0.645074	+	0.764120i	$0.276827\pi$
$859$	−6.51948	+	36.9738i	−0.222442	+	1.26153i	−0.867515	+	0.497410i	$0.834284\pi$
$860$	0.150273	−	0.852243i	0.00512428	−	0.0290612i
$861$	18.4224	+	15.4876i	0.627834	+	0.527816i
$862$	12.7570	−	10.7044i	0.434504	−	0.364592i
$863$	−0.568677	+	0.984978i	−0.0193580	+	0.0335290i	−0.875542	−	0.483142i	$-0.839496\pi$
$863$	−0.568677	+	0.984978i	−0.0193580	+	0.0335290i	0.856184	+	0.516671i	$0.172829\pi$
$864$	−10.7598	−	12.1858i	−0.366054	−	0.414570i
$865$	−6.60123	−	11.4337i	−0.224449	−	0.388757i
$866$	3.19310	+	18.1089i	0.108506	+	0.615367i
$867$	−12.1225	−	0.603945i	−0.411702	−	0.0205110i
$868$	−2.51882	+	2.33233i	−0.0854943	+	0.0791646i
$869$	55.4963	−	20.1990i	1.88258	−	0.685204i
$870$	34.2592	−	25.9551i	1.16150	−	0.879960i
$871$	−1.06034	+	0.889729i	−0.0359282	+	0.0301473i
$872$	−6.82397	+	11.8195i	−0.231089	+	0.400257i
$873$	−16.0668	−	7.73390i	−0.543779	−	0.261753i
$874$	22.7594	−	39.4204i	0.769847	−	1.33341i
$875$	12.0450	−	23.4356i	0.407196	−	0.792269i
$876$	−0.336457	+	1.47471i	−0.0113678	+	0.0498259i
$877$	42.6625	−	15.5279i	1.44061	−	0.524339i	0.500658	−	0.865645i	$-0.333091\pi$
$877$	42.6625	−	15.5279i	1.44061	−	0.524339i	0.939952	+	0.341306i	$0.110869\pi$
$878$	−2.12958	+	12.0775i	−0.0718699	+	0.407595i
$879$	−0.771440	+	3.38127i	−0.0260200	+	0.114047i
$880$	−47.7056	+	40.0298i	−1.60816	+	1.34940i
$881$	−9.07578	+	15.7197i	−0.305771	+	0.529611i	−0.977433	−	0.211247i	$-0.932247\pi$
$881$	−9.07578	+	15.7197i	−0.305771	+	0.529611i	0.671662	+	0.740858i	$0.265581\pi$
$882$	5.78272	+	33.1578i	0.194714	+	1.11648i
$883$	−2.11673	−	3.66628i	−0.0712335	−	0.123380i	0.828209	−	0.560420i	$-0.189360\pi$
$883$	−2.11673	−	3.66628i	−0.0712335	−	0.123380i	−0.899442	+	0.437040i	$0.856027\pi$
$884$	−5.89078	−	2.14407i	−0.198128	−	0.0721128i
$885$	−15.3410	+	11.6225i	−0.515683	+	0.390686i
$886$	3.15455	+	2.64698i	0.105979	+	0.0889272i
$887$	−27.7673	−	23.2996i	−0.932336	−	0.782322i	0.0438997	−	0.999036i	$-0.486022\pi$
$887$	−27.7673	−	23.2996i	−0.932336	−	0.782322i	−0.976235	+	0.216714i	$0.930466\pi$
$888$	6.04414	−	9.35996i	0.202828	−	0.314100i
$889$	11.1021	+	17.2280i	0.372353	+	0.577810i
$890$	65.3502			2.19054
$891$	−0.800330	+	32.5501i	−0.0268120	+	1.09047i
$892$	2.43325	+	4.21452i	0.0814714	+	0.141113i
$893$	−36.6000	−	13.3213i	−1.22477	−	0.445781i
$894$	9.60642	+	18.7340i	0.321287	+	0.626558i
$895$	13.9819	−	79.2955i	0.467365	−	2.65056i
$896$	34.5047	+	10.6820i	1.15272	+	0.356859i
$897$	−3.80120	−	30.3113i	−0.126918	−	1.01207i
$898$	−18.6198	−	6.77706i	−0.621351	−	0.226153i
$899$	−4.93772	+	8.55237i	−0.164682	+	0.285238i
$900$	13.2213	+	1.32065i	0.440709	+	0.0440216i
$901$	−0.881067	−	1.52605i	−0.0293526	−	0.0508402i
$902$	28.6169	+	10.4157i	0.952840	+	0.346805i
$903$	1.83135	+	0.668497i	0.0609435	+	0.0222462i
$904$	−31.9605	−	26.8180i	−1.06299	−	0.891955i
$905$	23.5553	−	8.57344i	0.783006	−	0.284991i
$906$	15.4941	−	4.78077i	0.514755	−	0.158830i
$907$	7.78625	+	44.1580i	0.258538	+	1.46624i	0.786825	+	0.617177i	$0.211724\pi$
$907$	7.78625	+	44.1580i	0.258538	+	1.46624i	−0.528286	+	0.849066i	$0.677165\pi$
$908$	−4.85670	−	8.41205i	−0.161175	−	0.279164i
$909$	−10.8344	+	7.38958i	−0.359356	+	0.245097i
$910$	42.1009	+	31.9580i	1.39563	+	1.05940i
$911$	4.20972	+	23.8745i	0.139474	+	0.790997i	0.971639	+	0.236469i	$0.0759901\pi$
$911$	4.20972	+	23.8745i	0.139474	+	0.790997i	−0.832165	+	0.554528i	$0.812899\pi$
$912$	37.3066	−	28.2638i	1.23534	−	0.935908i
$913$	−35.7867	−	30.0286i	−1.18437	−	0.993802i
$914$	28.0221	−	10.1992i	0.926889	−	0.337360i
$915$	42.4178	−	65.6882i	1.40229	−	2.17158i
$916$	8.74517	−	7.33807i	0.288948	−	0.242457i
$917$	−33.5065	−	25.4341i	−1.10648	−	0.839909i
$918$	−0.663252	−	26.3179i	−0.0218906	−	0.868621i
$919$	−9.51852	+	16.4866i	−0.313987	+	0.543841i	−0.979222	−	0.202793i	$-0.934998\pi$
$919$	−9.51852	+	16.4866i	−0.313987	+	0.543841i	0.665235	+	0.746634i	$0.268331\pi$
$920$	38.9941	+	14.1927i	1.28560	+	0.467919i
$921$	−5.45917	+	8.45408i	−0.179886	+	0.278571i
$922$	30.8113	+	25.8538i	1.01472	+	0.851449i
$923$	−38.8605	+	14.1440i	−1.27911	+	0.465557i
$924$	4.70813	+	8.17235i	0.154886	+	0.268851i
$925$	3.79138	+	21.5020i	0.124660	+	0.706981i
$926$	22.0687			0.725222
$927$	−9.82310	+	34.9369i	−0.322633	+	1.14748i
$928$	−13.5465			−0.444684
$929$	14.2026	−	11.9174i	0.465971	−	0.390996i	−0.379351	−	0.925253i	$-0.623853\pi$
$929$	14.2026	−	11.9174i	0.465971	−	0.390996i	0.845322	+	0.534256i	$0.179408\pi$
$930$	−21.6327	+	6.67488i	−0.709364	+	0.218878i
$931$	−39.1045	+	3.83224i	−1.28160	+	0.125596i
$932$	−7.48054	−	6.27692i	−0.245033	−	0.205607i
$933$	−4.73562	+	20.7565i	−0.155037	+	0.679537i
$934$	−5.48720	−	31.1195i	−0.179547	−	1.01826i
$935$	−40.8912			−1.33729
$936$	6.49275	−	23.0921i	0.212222	−	0.754790i
$937$	−0.773637	−	1.33998i	−0.0252736	−	0.0437752i	0.853112	−	0.521728i	$-0.174712\pi$
$937$	−0.773637	−	1.33998i	−0.0252736	−	0.0437752i	−0.878386	+	0.477953i	$0.841379\pi$
$938$	−1.68180	+	0.0822112i	−0.0549127	+	0.00268429i
$939$	44.1758	−	33.4679i	1.44162	−	1.09218i
$940$	−2.45104	+	13.9005i	−0.0799440	+	0.453385i
$941$	10.6875	−	3.88993i	0.348402	−	0.126808i	−0.161891	−	0.986809i	$-0.551759\pi$
$941$	10.6875	−	3.88993i	0.348402	−	0.126808i	0.510293	+	0.860001i	$0.329537\pi$
$942$	24.9001	−	38.5602i	0.811288	−	1.25636i
$943$	−4.61431	−	26.1691i	−0.150263	−	0.852182i
$944$	14.9609			0.486934
$945$	−13.3497	+	47.3097i	−0.434265	+	1.53898i
$946$	2.46682			0.0802033
$947$	5.07663	+	28.7910i	0.164968	+	0.935582i	0.949097	+	0.314984i	$0.101999\pi$
$947$	5.07663	+	28.7910i	0.164968	+	0.935582i	−0.784129	+	0.620598i	$0.786890\pi$
$948$	7.33956	+	14.3132i	0.238378	+	0.464873i
$949$	−5.02850	+	1.83023i	−0.163232	+	0.0594116i
$950$	−12.1625	+	68.9770i	−0.394604	+	2.23791i
$951$	0.362525	+	0.152780i	0.0117557	+	0.00495422i
$952$	10.3915	+	16.1253i	0.336789	+	0.522623i
$953$	5.89205	+	10.2053i	0.190862	+	0.330583i	0.945536	−	0.325517i	$-0.105538\pi$
$953$	5.89205	+	10.2053i	0.190862	+	0.330583i	−0.754674	+	0.656100i	$0.772205\pi$
$954$	−2.21438	+	1.51031i	−0.0716933	+	0.0488980i
$955$	−4.49240			−0.145371
$956$	1.38568	+	7.85858i	0.0448161	+	0.254165i
$957$	19.8910	+	18.4529i	0.642986	+	0.596499i
$958$	−1.77805	−	1.49196i	−0.0574461	−	0.0482030i
$959$	20.1958	+	6.25221i	0.652157	+	0.201894i
$960$	20.9489	+	19.4343i	0.676123	+	0.627240i
$961$	−19.7627	+	16.5829i	−0.637507	+	0.534931i
$962$	−15.6691			−0.505193
$963$	10.1352	−	14.1024i	0.326603	−	0.454445i
$964$	−1.73225			−0.0557922
$965$	0.897399	+	5.08940i	0.0288883	+	0.163834i
$966$	18.6109	−	32.1656i	0.598797	−	1.03491i
$967$	28.8358	−	10.4954i	0.927297	−	0.337508i	0.166159	−	0.986099i	$-0.446863\pi$
$967$	28.8358	−	10.4954i	0.927297	−	0.337508i	0.761138	+	0.648590i	$0.224641\pi$
$968$	−3.66924	−	3.07886i	−0.117934	−	0.0989583i
$969$	30.6945	+	1.52920i	0.986050	+	0.0491251i
$970$	−32.0093	−	11.6504i	−1.02776	−	0.374073i
$971$	13.2332	−	22.9206i	0.424674	−	0.735557i	−0.571716	−	0.820452i	$-0.693722\pi$
$971$	13.2332	−	22.9206i	0.424674	−	0.735557i	0.996390	+	0.0848947i	$0.0270554\pi$
$972$	−8.82374	+	0.886854i	−0.283022	+	0.0284459i
$973$	3.86915	−	30.6213i	0.124039	−	0.981673i
$974$	−7.19806	+	6.03989i	−0.230641	+	0.193531i
$975$	21.4484	+	41.8277i	0.686900	+	1.33956i
$976$	−57.1162	+	20.7886i	−1.82824	+	0.665427i
$977$	20.8982	+	17.5357i	0.668593	+	0.561016i	0.912649	−	0.408745i	$-0.134034\pi$
$977$	20.8982	+	17.5357i	0.668593	+	0.561016i	−0.244056	+	0.969761i	$0.578478\pi$
$978$	−20.1151	−	8.47715i	−0.643210	−	0.271069i
$979$	7.16356	+	40.6265i	0.228948	+	1.29843i
$980$	3.82851	+	13.7149i	0.122297	+	0.438105i
$981$	7.34442	+	16.2693i	0.234489	+	0.519438i
$982$	−17.4904	−	30.2942i	−0.558141	−	0.966728i
$983$	−2.37332	−	13.4598i	−0.0756973	−	0.429300i	−0.998979	−	0.0451770i	$-0.985615\pi$
$983$	−2.37332	−	13.4598i	−0.0756973	−	0.429300i	0.923282	−	0.384123i	$-0.125496\pi$
$984$	4.64123	−	20.3428i	0.147957	−	0.648504i
$985$	41.8070	−	15.2165i	1.33208	−	0.484839i
$986$	−16.8054	−	14.1014i	−0.535192	−	0.449079i
$987$	−29.8703	−	10.9035i	−0.950781	−	0.347063i
$988$	−10.4602	−	3.80722i	−0.332785	−	0.121124i
$989$	−1.07623	−	1.86409i	−0.0342223	−	0.0592747i
$990$	4.65908	+	62.0253i	0.148075	+	1.97129i
$991$	8.28778	−	14.3549i	0.263270	−	0.455997i	−0.703839	−	0.710360i	$-0.748532\pi$
$991$	8.28778	−	14.3549i	0.263270	−	0.455997i	0.967109	+	0.254363i	$0.0818656\pi$
$992$	6.70494	+	2.44040i	0.212882	+	0.0774827i
$993$	24.0138	+	10.1202i	0.762054	+	0.321154i
$994$	−48.0563	−	14.8772i	−1.52425	−	0.471878i
$995$	4.93662	−	27.9970i	0.156501	−	0.887564i
$996$	6.90237	−	10.6890i	0.218710	−	0.338694i
$997$	48.3523	+	17.5988i	1.53133	+	0.557359i	0.963947	−	0.266094i	$-0.0857332\pi$
$997$	48.3523	+	17.5988i	1.53133	+	0.557359i	0.567384	+	0.823453i	$0.307955\pi$
$998$	−5.40480	−	9.36138i	−0.171086	−	0.296329i
$999$	−5.32749	−	13.5637i	−0.168554	−	0.429137i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	189.2.w.a.184.16	yes	132
3.2	odd	2		567.2.w.a.37.7		132
7.4	even	3		189.2.u.a.130.7	yes	132
21.11	odd	6		567.2.u.a.361.16		132
27.11	odd	18		567.2.u.a.289.16		132
27.16	even	9		189.2.u.a.16.7	✓	132
189.11	odd	18		567.2.w.a.46.7		132
189.151	even	9	inner	189.2.w.a.151.16	yes	132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
189.2.u.a.16.7	✓	132	27.16	even	9
189.2.u.a.130.7	yes	132	7.4	even	3
189.2.w.a.151.16	yes	132	189.151	even	9	inner
189.2.w.a.184.16	yes	132	1.1	even	1	trivial
567.2.u.a.289.16		132	27.11	odd	18
567.2.u.a.361.16		132	21.11	odd	6
567.2.w.a.37.7		132	3.2	odd	2
567.2.w.a.46.7		132	189.11	odd	18

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:	\( N \)	\(=\)	\( 189 = 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	189.w (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.278319 + 1.57843i) q^{2} +(1.72991 + 0.0861840i) q^{3} +(-0.534587 + 0.194574i) q^{4} +(0.620906 - 3.52133i) q^{5} +(0.345431 + 2.75452i) q^{6} +(-2.64260 + 0.129178i) q^{7} +(1.14687 + 1.98644i) q^{8} +(2.98514 + 0.298180i) q^{9} +O(q^{10})\)	\(q+(0.278319 + 1.57843i) q^{2} +(1.72991 + 0.0861840i) q^{3} +(-0.534587 + 0.194574i) q^{4} +(0.620906 - 3.52133i) q^{5} +(0.345431 + 2.75452i) q^{6} +(-2.64260 + 0.129178i) q^{7} +(1.14687 + 1.98644i) q^{8} +(2.98514 + 0.298180i) q^{9} +5.73098 q^{10} +(0.628218 + 3.56280i) q^{11} +(-0.941553 + 0.290521i) q^{12} +(-2.67039 - 2.24072i) q^{13} +(-0.939383 - 4.13519i) q^{14} +(1.37759 - 6.03806i) q^{15} +(-3.68785 + 3.09448i) q^{16} -3.16107 q^{17} +(0.360168 + 4.79482i) q^{18} -5.61311 q^{19} +(0.353230 + 2.00327i) q^{20} +(-4.58257 - 0.00428421i) q^{21} +(-5.44878 + 1.98319i) q^{22} +(3.87585 + 3.25222i) q^{23} +(1.81278 + 3.53519i) q^{24} +(-7.31579 - 2.66273i) q^{25} +(2.79359 - 4.83865i) q^{26} +(5.13832 + 0.773095i) q^{27} +(1.38756 - 0.583236i) q^{28} +(3.31696 - 2.78326i) q^{29} +(9.91405 + 0.493919i) q^{30} +(-2.14316 + 0.780048i) q^{31} +(-2.39659 - 2.01098i) q^{32} +(0.779702 + 6.21745i) q^{33} +(-0.879788 - 4.98952i) q^{34} +(-1.18593 + 9.38566i) q^{35} +(-1.65384 + 0.421427i) q^{36} +(-1.40224 - 2.42875i) q^{37} +(-1.56224 - 8.85989i) q^{38} +(-4.42640 - 4.10638i) q^{39} +(7.70701 - 2.80512i) q^{40} +(-4.02326 - 3.37591i) q^{41} +(-1.26866 - 7.23445i) q^{42} +(-0.399770 - 0.145504i) q^{43} +(-1.02906 - 1.78239i) q^{44} +(2.90349 - 10.3265i) q^{45} +(-4.05468 + 7.02290i) q^{46} +(6.52045 + 2.37325i) q^{47} +(-6.64633 + 5.03532i) q^{48} +(6.96663 - 0.682729i) q^{49} +(2.16680 - 12.2885i) q^{50} +(-5.46836 - 0.272434i) q^{51} +(1.86354 + 0.678272i) q^{52} +(0.278724 + 0.482764i) q^{53} +(0.209819 + 8.32563i) q^{54} +12.9359 q^{55} +(-3.28732 - 5.10121i) q^{56} +(-9.71016 - 0.483761i) q^{57} +(5.31635 + 4.46095i) q^{58} +(-2.38062 - 1.99758i) q^{59} +(0.438405 + 3.49591i) q^{60} +(11.8642 + 4.31823i) q^{61} +(-1.82773 - 3.16573i) q^{62} +(-7.92705 - 0.402356i) q^{63} +(-2.30699 + 3.99582i) q^{64} +(-9.54838 + 8.01204i) q^{65} +(-9.59680 + 2.96114i) q^{66} +(0.0689510 - 0.391040i) q^{67} +(1.68987 - 0.615061i) q^{68} +(6.42456 + 5.96008i) q^{69} +(-15.1447 + 0.740315i) q^{70} +(5.93160 - 10.2738i) q^{71} +(2.83126 + 6.27178i) q^{72} +(0.767543 - 1.32942i) q^{73} +(3.44333 - 2.88930i) q^{74} +(-12.4261 - 5.23678i) q^{75} +(3.00070 - 1.09216i) q^{76} +(-2.12036 - 9.33390i) q^{77} +(5.24967 - 8.12964i) q^{78} +(-2.83470 - 16.0764i) q^{79} +(8.60687 + 14.9075i) q^{80} +(8.82218 + 1.78022i) q^{81} +(4.20888 - 7.29000i) q^{82} +(-9.89194 + 8.30032i) q^{83} +(2.45062 - 0.889358i) q^{84} +(-1.96273 + 11.1312i) q^{85} +(0.118404 - 0.671504i) q^{86} +(5.97790 - 4.52891i) q^{87} +(-6.35681 + 5.33399i) q^{88} +11.4030 q^{89} +(17.1078 + 1.70886i) q^{90} +(7.34620 + 5.57636i) q^{91} +(-2.70477 - 0.984457i) q^{92} +(-3.77470 + 1.16470i) q^{93} +(-1.93123 + 10.9526i) q^{94} +(-3.48522 + 19.7656i) q^{95} +(-3.97256 - 3.68535i) q^{96} +(-5.58531 - 2.03289i) q^{97} +(3.01659 + 10.8063i) q^{98} +(0.812965 + 10.8228i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} + 3 q^{9}+O(q^{10}) \) 132 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 18 * q^6 - 6 * q^7 - 6 * q^8 + 3 * q^9	\( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} + 3 q^{9} - 6 q^{10} + 3 q^{11} - 3 q^{12} - 12 q^{13} + 15 q^{14} - 9 q^{16} - 54 q^{17} - 3 q^{18} - 6 q^{19} - 18 q^{20} - 21 q^{21} - 12 q^{22} + 45 q^{24} - 3 q^{25} + 30 q^{26} - 12 q^{27} - 12 q^{28} - 30 q^{29} - 57 q^{30} - 3 q^{31} + 51 q^{32} + 15 q^{33} - 18 q^{34} - 12 q^{35} - 60 q^{36} + 3 q^{37} - 57 q^{38} - 66 q^{39} - 66 q^{40} + 33 q^{42} - 12 q^{43} + 3 q^{44} + 33 q^{45} + 3 q^{46} - 21 q^{47} + 90 q^{48} + 12 q^{49} - 39 q^{50} - 48 q^{51} + 9 q^{52} + 9 q^{53} - 63 q^{54} - 24 q^{55} + 57 q^{56} - 18 q^{57} - 3 q^{58} - 18 q^{59} + 81 q^{60} + 33 q^{61} + 75 q^{62} + 63 q^{63} - 30 q^{64} + 81 q^{65} + 69 q^{66} - 3 q^{67} + 6 q^{68} - 6 q^{69} - 42 q^{70} - 18 q^{71} - 105 q^{72} + 21 q^{73} - 93 q^{74} + 18 q^{75} - 24 q^{76} + 87 q^{77} - 30 q^{78} + 15 q^{79} + 102 q^{80} + 39 q^{81} - 6 q^{82} - 42 q^{83} - 36 q^{84} - 63 q^{85} + 159 q^{86} + 30 q^{87} + 57 q^{88} - 150 q^{89} - 39 q^{90} + 6 q^{91} - 66 q^{92} - 27 q^{93} + 33 q^{94} - 147 q^{95} + 81 q^{96} - 12 q^{97} + 99 q^{98} + 24 q^{99}+O(q^{100}) \) 132 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 18 * q^6 - 6 * q^7 - 6 * q^8 + 3 * q^9 - 6 * q^10 + 3 * q^11 - 3 * q^12 - 12 * q^13 + 15 * q^14 - 9 * q^16 - 54 * q^17 - 3 * q^18 - 6 * q^19 - 18 * q^20 - 21 * q^21 - 12 * q^22 + 45 * q^24 - 3 * q^25 + 30 * q^26 - 12 * q^27 - 12 * q^28 - 30 * q^29 - 57 * q^30 - 3 * q^31 + 51 * q^32 + 15 * q^33 - 18 * q^34 - 12 * q^35 - 60 * q^36 + 3 * q^37 - 57 * q^38 - 66 * q^39 - 66 * q^40 + 33 * q^42 - 12 * q^43 + 3 * q^44 + 33 * q^45 + 3 * q^46 - 21 * q^47 + 90 * q^48 + 12 * q^49 - 39 * q^50 - 48 * q^51 + 9 * q^52 + 9 * q^53 - 63 * q^54 - 24 * q^55 + 57 * q^56 - 18 * q^57 - 3 * q^58 - 18 * q^59 + 81 * q^60 + 33 * q^61 + 75 * q^62 + 63 * q^63 - 30 * q^64 + 81 * q^65 + 69 * q^66 - 3 * q^67 + 6 * q^68 - 6 * q^69 - 42 * q^70 - 18 * q^71 - 105 * q^72 + 21 * q^73 - 93 * q^74 + 18 * q^75 - 24 * q^76 + 87 * q^77 - 30 * q^78 + 15 * q^79 + 102 * q^80 + 39 * q^81 - 6 * q^82 - 42 * q^83 - 36 * q^84 - 63 * q^85 + 159 * q^86 + 30 * q^87 + 57 * q^88 - 150 * q^89 - 39 * q^90 + 6 * q^91 - 66 * q^92 - 27 * q^93 + 33 * q^94 - 147 * q^95 + 81 * q^96 - 12 * q^97 + 99 * q^98 + 24 * q^99

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