LMFDB - Embedded newform 429.2.bq.a.74.41

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(29,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 21, 10]))

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

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

chi := DirichletCharacter("429.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bq (of order $30$, degree $8$, 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:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$416$
Relative dimension:	$52$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			74.41
Character	$\chi$	$=$	429.74
Dual form			429.2.bq.a.29.41

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.179632 + 1.70909i) q^{2} +(1.66652 - 0.471925i) q^{3} +(-0.932422 + 0.198192i) q^{4} +(-1.96134 + 2.69955i) q^{5} +(1.10592 + 2.76346i) q^{6} +(-0.393158 - 1.84966i) q^{7} +(0.555871 + 1.71080i) q^{8} +(2.55457 - 1.57294i) q^{9} +O(q^{10})$	\(q+(0.179632 + 1.70909i) q^{2} +(1.66652 - 0.471925i) q^{3} +(-0.932422 + 0.198192i) q^{4} +(-1.96134 + 2.69955i) q^{5} +(1.10592 + 2.76346i) q^{6} +(-0.393158 - 1.84966i) q^{7} +(0.555871 + 1.71080i) q^{8} +(2.55457 - 1.57294i) q^{9} +(-4.96609 - 2.86717i) q^{10} +(2.27214 + 2.41607i) q^{11} +(-1.46037 + 0.770325i) q^{12} +(-0.125170 + 3.60338i) q^{13} +(3.09061 - 1.00420i) q^{14} +(-1.99462 + 5.42445i) q^{15} +(-4.56573 + 2.03279i) q^{16} +(0.258678 - 2.46116i) q^{17} +(3.14719 + 4.08344i) q^{18} +(0.422358 + 0.380293i) q^{19} +(1.29376 - 2.90584i) q^{20} +(-1.52811 - 2.89696i) q^{21} +(-3.72113 + 4.31729i) q^{22} +(-5.92755 - 3.42227i) q^{23} +(1.73374 + 2.58875i) q^{24} +(-1.89563 - 5.83416i) q^{25} +(-6.18098 + 0.433357i) q^{26} +(3.51493 - 3.82691i) q^{27} +(0.733178 + 1.64674i) q^{28} +(3.14310 + 3.49077i) q^{29} +(-9.62917 - 2.43458i) q^{30} +(1.27653 - 0.927452i) q^{31} +(-2.49554 - 4.32241i) q^{32} +(4.92676 + 2.95415i) q^{33} +4.25280 q^{34} +(5.76436 + 2.56646i) q^{35} +(-2.07020 + 1.97295i) q^{36} +(1.75384 + 1.94784i) q^{37} +(-0.574085 + 0.790160i) q^{38} +(1.49193 + 6.06417i) q^{39} +(-5.70863 - 1.85485i) q^{40} +(-1.80272 - 0.383180i) q^{41} +(4.67666 - 3.13206i) q^{42} +(6.47641 - 3.73915i) q^{43} +(-2.59744 - 1.80248i) q^{44} +(-0.764138 + 9.98126i) q^{45} +(4.78419 - 10.7455i) q^{46} +(4.97659 - 1.61699i) q^{47} +(-6.64955 + 5.54237i) q^{48} +(3.12814 - 1.39274i) q^{49} +(9.63057 - 4.28781i) q^{50} +(-0.730390 - 4.22364i) q^{51} +(-0.597451 - 3.38468i) q^{52} +(-5.12643 - 7.05593i) q^{53} +(7.17193 + 5.31990i) q^{54} +(-10.9787 + 1.39501i) q^{55} +(2.94585 - 1.70079i) q^{56} +(0.883337 + 0.434444i) q^{57} +(-5.40143 + 5.99890i) q^{58} +(-2.02502 - 9.52697i) q^{59} +(0.784743 - 5.45320i) q^{60} +(3.13552 + 0.329557i) q^{61} +(1.81440 + 2.01510i) q^{62} +(-3.91377 - 4.10668i) q^{63} +(-1.14754 + 0.833735i) q^{64} +(-9.48199 - 7.40534i) q^{65} +(-4.16390 + 8.95094i) q^{66} +(4.89627 - 8.48060i) q^{67} +(0.246586 + 2.34611i) q^{68} +(-11.4934 - 2.90592i) q^{69} +(-3.35084 + 10.3128i) q^{70} +(8.25316 + 0.867442i) q^{71} +(4.11100 + 3.49600i) q^{72} +(-14.8405 - 4.82198i) q^{73} +(-3.01398 + 3.34736i) q^{74} +(-5.91239 - 8.82814i) q^{75} +(-0.469187 - 0.270885i) q^{76} +(3.57560 - 5.15258i) q^{77} +(-10.0962 + 3.63916i) q^{78} +(5.01074 + 6.89669i) q^{79} +(3.46731 - 16.3124i) q^{80} +(4.05169 - 8.03640i) q^{81} +(0.331062 - 3.14984i) q^{82} +(10.1384 + 7.36596i) q^{83} +(1.99900 + 2.39833i) q^{84} +(6.13666 + 5.52547i) q^{85} +(7.55392 + 10.3971i) q^{86} +(6.88543 + 4.33413i) q^{87} +(-2.87039 + 5.23019i) q^{88} +(-12.6837 - 7.32291i) q^{89} +(-17.1961 + 0.486979i) q^{90} +(6.71424 - 1.18517i) q^{91} +(6.20525 + 2.01621i) q^{92} +(1.68967 - 2.14804i) q^{93} +(3.65754 + 8.21497i) q^{94} +(-1.85500 + 0.394293i) q^{95} +(-6.19872 - 6.02566i) q^{96} +(-2.04180 - 0.909068i) q^{97} +(2.94223 + 5.09609i) q^{98} +(9.60468 + 2.59808i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 416 q - 3 q^{3} + 42 q^{4} - 5 q^{6} - 10 q^{7} + 3 q^{9}+O(q^{10}) $ 416 * q - 3 * q^3 + 42 * q^4 - 5 * q^6 - 10 * q^7 + 3 * q^9	$ 416 q - 3 q^{3} + 42 q^{4} - 5 q^{6} - 10 q^{7} + 3 q^{9} - 52 q^{12} - 20 q^{13} - 3 q^{15} + 30 q^{16} - 20 q^{18} - 10 q^{19} + 4 q^{22} + 5 q^{24} + 60 q^{25} - 24 q^{27} - 10 q^{28} - 65 q^{30} - 8 q^{31} + 49 q^{33} - 24 q^{34} + 3 q^{36} - 6 q^{37} - 35 q^{39} - 120 q^{40} - 13 q^{42} - 32 q^{45} - 30 q^{46} - 33 q^{48} - 26 q^{49} - 100 q^{51} - 60 q^{52} - 42 q^{55} - 20 q^{57} - 34 q^{58} + 32 q^{60} - 30 q^{61} - 45 q^{63} + 40 q^{64} + 42 q^{66} + 32 q^{67} - 33 q^{69} - 268 q^{70} + 55 q^{72} - 40 q^{73} + 9 q^{75} - 32 q^{78} - 37 q^{81} + 28 q^{82} - 180 q^{84} - 10 q^{85} - 142 q^{88} - 30 q^{90} + 8 q^{91} - 26 q^{93} - 90 q^{94} + 330 q^{96} - 14 q^{97} - 4 q^{99}+O(q^{100}) $ 416 * q - 3 * q^3 + 42 * q^4 - 5 * q^6 - 10 * q^7 + 3 * q^9 - 52 * q^12 - 20 * q^13 - 3 * q^15 + 30 * q^16 - 20 * q^18 - 10 * q^19 + 4 * q^22 + 5 * q^24 + 60 * q^25 - 24 * q^27 - 10 * q^28 - 65 * q^30 - 8 * q^31 + 49 * q^33 - 24 * q^34 + 3 * q^36 - 6 * q^37 - 35 * q^39 - 120 * q^40 - 13 * q^42 - 32 * q^45 - 30 * q^46 - 33 * q^48 - 26 * q^49 - 100 * q^51 - 60 * q^52 - 42 * q^55 - 20 * q^57 - 34 * q^58 + 32 * q^60 - 30 * q^61 - 45 * q^63 + 40 * q^64 + 42 * q^66 + 32 * q^67 - 33 * q^69 - 268 * q^70 + 55 * q^72 - 40 * q^73 + 9 * q^75 - 32 * q^78 - 37 * q^81 + 28 * q^82 - 180 * q^84 - 10 * q^85 - 142 * q^88 - 30 * q^90 + 8 * q^91 - 26 * q^93 - 90 * q^94 + 330 * q^96 - 14 * q^97 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{3}{10}\right)$	$-1$

Coefficient data

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

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

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

$2$	0.179632	+	1.70909i	0.127019	+	1.20851i	0.853415	+	0.521232i	$0.174527\pi$
$2$	0.179632	+	1.70909i	0.127019	+	1.20851i	−0.726396	+	0.687277i	$0.758806\pi$
$3$	1.66652	−	0.471925i	0.962165	−	0.272466i
$3$	1.66652	−	0.471925i	0.962165	−	0.272466i
$4$	−0.932422	+	0.198192i	−0.466211	+	0.0990962i
$5$	−1.96134	+	2.69955i	−0.877136	+	1.20727i	0.100070	+	0.994980i	$0.468093\pi$
$5$	−1.96134	+	2.69955i	−0.877136	+	1.20727i	−0.977206	+	0.212294i	$0.931907\pi$
$6$	1.10592	+	2.76346i	0.451491	+	1.12818i
$7$	−0.393158	−	1.84966i	−0.148600	−	0.699106i	−0.987856	−	0.155371i	$-0.950343\pi$
$7$	−0.393158	−	1.84966i	−0.148600	−	0.699106i	0.839257	−	0.543736i	$-0.182991\pi$
$8$	0.555871	+	1.71080i	0.196530	+	0.604858i
$9$	2.55457	−	1.57294i	0.851524	−	0.524315i
$10$	−4.96609	−	2.86717i	−1.57041	−	0.906679i
$11$	2.27214	+	2.41607i	0.685075	+	0.728473i
$11$	2.27214	+	2.41607i	0.685075	+	0.728473i
$12$	−1.46037	+	0.770325i	−0.421572	+	0.222374i
$13$	−0.125170	+	3.60338i	−0.0347159	+	0.999397i
$13$	−0.125170	+	3.60338i	−0.0347159	+	0.999397i
$14$	3.09061	−	1.00420i	0.826001	−	0.268384i
$15$	−1.99462	+	5.42445i	−0.515009	+	1.40059i
$16$	−4.56573	+	2.03279i	−1.14143	+	0.508199i
$17$	0.258678	−	2.46116i	0.0627387	−	0.596918i	−0.917312	−	0.398170i	$-0.869646\pi$
$17$	0.258678	−	2.46116i	0.0627387	−	0.596918i	0.980050	−	0.198749i	$-0.0636878\pi$
$18$	3.14719	+	4.08344i	0.741799	+	0.962476i
$19$	0.422358	+	0.380293i	0.0968956	+	0.0872452i	0.716155	−	0.697941i	$-0.245900\pi$
$19$	0.422358	+	0.380293i	0.0968956	+	0.0872452i	−0.619259	+	0.785186i	$0.712567\pi$
$20$	1.29376	−	2.90584i	0.289294	−	0.649766i
$21$	−1.52811	−	2.89696i	−0.333460	−	0.632168i
$22$	−3.72113	+	4.31729i	−0.793347	+	0.920449i
$23$	−5.92755	−	3.42227i	−1.23598	−	0.713593i	−0.267710	−	0.963500i	$-0.586267\pi$
$23$	−5.92755	−	3.42227i	−1.23598	−	0.713593i	−0.968270	+	0.249907i	$0.919600\pi$
$24$	1.73374	+	2.58875i	0.353898	+	0.528426i
$25$	−1.89563	−	5.83416i	−0.379126	−	1.16683i
$26$	−6.18098	+	0.433357i	−1.21219	+	0.0849883i
$27$	3.51493	−	3.82691i	0.676449	−	0.736489i
$28$	0.733178	+	1.64674i	0.138558	+	0.311206i
$29$	3.14310	+	3.49077i	0.583660	+	0.648220i	0.960573	−	0.278029i	$-0.0896811\pi$
$29$	3.14310	+	3.49077i	0.583660	+	0.648220i	−0.376913	+	0.926249i	$0.623014\pi$
$30$	−9.62917	−	2.43458i	−1.75804	−	0.444491i
$31$	1.27653	−	0.927452i	0.229271	−	0.166575i	−0.467219	−	0.884142i	$-0.654744\pi$
$31$	1.27653	−	0.927452i	0.229271	−	0.166575i	0.696490	+	0.717566i	$0.254744\pi$
$32$	−2.49554	−	4.32241i	−0.441154	−	0.764101i
$33$	4.92676	+	2.95415i	0.857639	+	0.514251i
$34$	4.25280			0.729350
$35$	5.76436	+	2.56646i	0.974355	+	0.433811i
$36$	−2.07020	+	1.97295i	−0.345033	+	0.328824i
$37$	1.75384	+	1.94784i	0.288330	+	0.320222i	0.869857	−	0.493305i	$-0.164211\pi$
$37$	1.75384	+	1.94784i	0.288330	+	0.320222i	−0.581527	+	0.813527i	$0.697545\pi$
$38$	−0.574085	+	0.790160i	−0.0931289	+	0.128181i
$39$	1.49193	+	6.06417i	0.238899	+	0.971044i
$40$	−5.70863	−	1.85485i	−0.902613	−	0.293277i
$41$	−1.80272	−	0.383180i	−0.281538	−	0.0598427i	0.0649784	−	0.997887i	$-0.479302\pi$
$41$	−1.80272	−	0.383180i	−0.281538	−	0.0598427i	−0.346516	+	0.938044i	$0.612635\pi$
$42$	4.67666	−	3.13206i	0.721624	−	0.483287i
$43$	6.47641	−	3.73915i	0.987643	−	0.570216i	0.0830738	−	0.996543i	$-0.473526\pi$
$43$	6.47641	−	3.73915i	0.987643	−	0.570216i	0.904569	+	0.426328i	$0.140193\pi$
$44$	−2.59744	−	1.80248i	−0.391578	−	0.271734i
$45$	−0.764138	+	9.98126i	−0.113911	+	1.48792i
$46$	4.78419	−	10.7455i	0.705390	−	1.58433i
$47$	4.97659	−	1.61699i	0.725911	−	0.235863i	0.0773267	−	0.997006i	$-0.475362\pi$
$47$	4.97659	−	1.61699i	0.725911	−	0.235863i	0.648584	+	0.761143i	$0.275362\pi$
$48$	−6.64955	+	5.54237i	−0.959780	+	0.799973i
$49$	3.12814	−	1.39274i	0.446878	−	0.198963i
$50$	9.63057	−	4.28781i	1.36197	−	0.606388i
$51$	−0.730390	−	4.22364i	−0.102275	−	0.591428i
$52$	−0.597451	−	3.38468i	−0.0828516	−	0.469370i
$53$	−5.12643	−	7.05593i	−0.704170	−	0.969207i	−0.999903	−	0.0139361i	$-0.995564\pi$
$53$	−5.12643	−	7.05593i	−0.704170	−	0.969207i	0.295733	−	0.955271i	$-0.404436\pi$
$54$	7.17193	+	5.31990i	0.975975	+	0.723946i
$55$	−10.9787	+	1.39501i	−1.48037	+	0.188104i
$56$	2.94585	−	1.70079i	0.393656	−	0.227277i
$57$	0.883337	+	0.434444i	0.117001	+	0.0575435i
$58$	−5.40143	+	5.99890i	−0.709243	+	0.787694i
$59$	−2.02502	−	9.52697i	−0.263635	−	1.24031i	−0.888246	−	0.459369i	$-0.848076\pi$
$59$	−2.02502	−	9.52697i	−0.263635	−	1.24031i	0.624610	−	0.780937i	$-0.285258\pi$
$60$	0.784743	−	5.45320i	0.101310	−	0.704005i
$61$	3.13552	+	0.329557i	0.401463	+	0.0421954i	0.303109	−	0.952956i	$-0.401976\pi$
$61$	3.13552	+	0.329557i	0.401463	+	0.0421954i	0.0983542	+	0.995151i	$0.468642\pi$
$62$	1.81440	+	2.01510i	0.230430	+	0.255918i
$63$	−3.91377	−	4.10668i	−0.493088	−	0.517393i
$64$	−1.14754	+	0.833735i	−0.143442	+	0.104217i
$65$	−9.48199	−	7.40534i	−1.17610	−	0.918519i
$66$	−4.16390	+	8.95094i	−0.512540	+	1.10178i
$67$	4.89627	−	8.48060i	0.598175	−	1.03607i	−0.394915	−	0.918718i	$-0.629226\pi$
$67$	4.89627	−	8.48060i	0.598175	−	1.03607i	0.993090	−	0.117352i	$-0.0374406\pi$
$68$	0.246586	+	2.34611i	0.0299029	+	0.284507i
$69$	−11.4934	−	2.90592i	−1.38365	−	0.349832i
$70$	−3.35084	+	10.3128i	−0.400502	+	1.23262i
$71$	8.25316	+	0.867442i	0.979470	+	0.102946i	0.580712	−	0.814109i	$-0.302774\pi$
$71$	8.25316	+	0.867442i	0.979470	+	0.102946i	0.398759	+	0.917056i	$0.369441\pi$
$72$	4.11100	+	3.49600i	0.484486	+	0.412008i
$73$	−14.8405	−	4.82198i	−1.73695	−	0.564370i	−0.742527	−	0.669816i	$-0.766373\pi$
$73$	−14.8405	−	4.82198i	−1.73695	−	0.564370i	−0.994425	+	0.105447i	$0.966373\pi$
$74$	−3.01398	+	3.34736i	−0.350368	+	0.389123i
$75$	−5.91239	−	8.82814i	−0.682704	−	1.01939i
$76$	−0.469187	−	0.270885i	−0.0538195	−	0.0310727i
$77$	3.57560	−	5.15258i	0.407478	−	0.587191i
$78$	−10.0962	+	3.63916i	−1.14317	+	0.412053i
$79$	5.01074	+	6.89669i	0.563752	+	0.775939i	0.991798	−	0.127819i	$-0.0407976\pi$
$79$	5.01074	+	6.89669i	0.563752	+	0.775939i	−0.428045	+	0.903757i	$0.640798\pi$
$80$	3.46731	−	16.3124i	0.387657	−	1.82378i
$81$	4.05169	−	8.03640i	0.450188	−	0.892934i
$82$	0.331062	−	3.14984i	0.0365597	−	0.347842i
$83$	10.1384	+	7.36596i	1.11283	+	0.808519i	0.983107	−	0.183032i	$-0.0585910\pi$
$83$	10.1384	+	7.36596i	1.11283	+	0.808519i	0.129723	+	0.991550i	$0.458591\pi$
$84$	1.99900	+	2.39833i	0.218108	+	0.261679i
$85$	6.13666	+	5.52547i	0.665614	+	0.599321i
$86$	7.55392	+	10.3971i	0.814560	+	1.12115i
$87$	6.88543	+	4.33413i	0.738195	+	0.464667i
$88$	−2.87039	+	5.23019i	−0.305984	+	0.557540i
$89$	−12.6837	−	7.32291i	−1.34446	−	0.776227i	−0.357006	−	0.934102i	$-0.616202\pi$
$89$	−12.6837	−	7.32291i	−1.34446	−	0.776227i	−0.987459	+	0.157875i	$0.949536\pi$
$90$	−17.1961	+	0.486979i	−1.81263	+	0.0513321i
$91$	6.71424	−	1.18517i	0.703844	−	0.124240i
$92$	6.20525	+	2.01621i	0.646942	+	0.210204i
$93$	1.68967	−	2.14804i	0.175211	−	0.222742i
$94$	3.65754	+	8.21497i	0.377247	+	0.847310i
$95$	−1.85500	+	0.394293i	−0.190319	+	0.0404536i
$96$	−6.19872	−	6.02566i	−0.632654	−	0.614992i
$97$	−2.04180	−	0.909068i	−0.207313	−	0.0923019i	0.300453	−	0.953797i	$-0.402862\pi$
$97$	−2.04180	−	0.909068i	−0.207313	−	0.0923019i	−0.507767	+	0.861495i	$0.669529\pi$
$98$	2.94223	+	5.09609i	0.297210	+	0.514783i
$99$	9.60468	+	2.59808i	0.965307	+	0.261117i
$100$	2.92381	+	5.06420i	0.292381	+	0.506420i
$101$	0.445908	+	4.24253i	0.0443695	+	0.422148i	0.994050	+	0.108927i	$0.0347414\pi$
$101$	0.445908	+	4.24253i	0.0443695	+	0.422148i	−0.949680	+	0.313221i	$0.898592\pi$
$102$	7.08738	−	2.00701i	0.701755	−	0.198723i
$103$	2.80233	−	8.62469i	0.276122	−	0.849816i	−0.712798	−	0.701369i	$-0.752573\pi$
$103$	2.80233	−	8.62469i	0.276122	−	0.849816i	0.988920	−	0.148447i	$-0.0474275\pi$
$104$	−6.23422	+	1.78887i	−0.611316	+	0.175414i
$105$	10.8176	+	1.55671i	1.05569	+	0.151919i
$106$	11.1383	−	10.0290i	1.08185	−	0.974103i
$107$	−3.06242	−	0.650937i	−0.296055	−	0.0629284i	0.0574896	−	0.998346i	$-0.481690\pi$
$107$	−3.06242	−	0.650937i	−0.296055	−	0.0629284i	−0.353545	+	0.935418i	$0.615024\pi$
$108$	−2.51894	+	4.26493i	−0.242385	+	0.410393i
$109$			16.1094i			1.54300i	0.636230	+	0.771500i	$0.280493\pi$
$109$			16.1094i			1.54300i	−0.636230	+	0.771500i	$0.719507\pi$
$110$	−4.35634	−	18.5130i	−0.415361	−	1.76515i
$111$	3.84204	+	2.41843i	0.364671	+	0.229547i
$112$	5.55503	+	7.64585i	0.524901	+	0.722465i
$113$	0.0522361	+	0.0470336i	0.00491396	+	0.00442455i	0.671584	−	0.740928i	$-0.265614\pi$
$113$	0.0522361	+	0.0470336i	0.00491396	+	0.00442455i	−0.666670	+	0.745353i	$0.732281\pi$
$114$	−0.583827	+	1.58774i	−0.0546804	+	0.148706i
$115$	20.8645	−	9.28947i	1.94562	−	0.866248i
$116$	−3.62254	−	2.63193i	−0.336345	−	0.244369i
$117$	5.34816	+	9.40198i	0.494437	+	0.869213i
$118$	15.9187	−	5.17229i	1.46543	−	0.476148i
$119$	−4.65401	+	0.489156i	−0.426632	+	0.0448409i
$120$	−10.3889	−	0.397091i	−0.948371	−	0.0362493i
$121$	−0.674790	+	10.9793i	−0.0613446	+	0.998117i
$122$			5.41809i			0.490531i
$123$	−3.18510	+	0.212172i	−0.287191	+	0.0191309i
$124$	−1.00645	+	1.11777i	−0.0903818	+	0.100379i
$125$	3.60001	+	1.16971i	0.321994	+	0.104622i
$126$	6.31564	−	7.42667i	0.562642	−	0.661620i
$127$	−1.54709	−	3.47482i	−0.137282	−	0.308341i	0.831802	−	0.555073i	$-0.187310\pi$
$127$	−1.54709	−	3.47482i	−0.137282	−	0.308341i	−0.969084	+	0.246733i	$0.920643\pi$
$128$	−8.31044	−	9.22968i	−0.734546	−	0.815796i
$129$	9.02845	−	9.28775i	0.794911	−	0.817741i
$130$	10.9531	−	17.5358i	0.960651	−	1.53799i
$131$	0.646898			0.0565198			0.0282599	−	0.999601i	$-0.491003\pi$
$131$	0.646898			0.0565198			0.0282599	+	0.999601i	$0.491003\pi$
$132$	−5.17931	−	1.77807i	−0.450801	−	0.154761i
$133$	0.537360	−	0.930734i	0.0465950	−	0.0807049i
$134$	15.3736	+	6.84478i	1.32808	+	0.591299i
$135$	3.43696	+	16.9946i	0.295806	+	1.46266i
$136$	4.35433	−	0.925542i	0.373381	−	0.0793646i
$137$	14.4227	+	1.51588i	1.23221	+	0.129511i	0.698161	−	0.715941i	$-0.254002\pi$
$137$	14.4227	+	1.51588i	1.23221	+	0.129511i	0.534052	+	0.845452i	$0.320669\pi$
$138$	2.90189	−	20.1653i	0.247025	−	1.71658i
$139$	−0.770377	−	3.62434i	−0.0653426	−	0.307413i	0.933324	−	0.359035i	$-0.116894\pi$
$139$	−0.770377	−	3.62434i	−0.0653426	−	0.307413i	−0.998667	+	0.0516224i	$0.983561\pi$
$140$	−5.88347	−	1.25057i	−0.497244	−	0.105693i
$141$	7.53049	−	5.04333i	0.634181	−	0.424725i
$142$			14.2612i			1.19677i
$143$	−8.99042	+	7.88495i	−0.751816	+	0.659372i
$144$	−8.46602	+	12.3746i	−0.705502	+	1.03121i
$145$	−15.5882	+	1.63838i	−1.29453	+	0.136060i
$146$	5.57535	−	26.2300i	0.461419	−	2.17081i
$147$	4.55584	−	3.79728i	0.375759	−	0.313194i
$148$	−2.02137	−	1.46861i	−0.166155	−	0.120719i
$149$	2.09131	−	19.8974i	0.171326	−	1.63006i	−0.484247	−	0.874931i	$-0.660906\pi$
$149$	2.09131	−	19.8974i	0.171326	−	1.63006i	0.655574	−	0.755131i	$-0.272427\pi$
$150$	14.0260	−	11.6906i	1.14522	−	0.954535i
$151$	−17.4563	+	5.67189i	−1.42057	+	0.461572i	−0.915784	−	0.401671i	$-0.868429\pi$
$151$	−17.4563	+	5.67189i	−1.42057	+	0.461572i	−0.504788	+	0.863243i	$0.668429\pi$
$152$	−0.415827	+	0.933962i	−0.0337280	+	0.0757544i
$153$	−3.21045	−	6.69409i	−0.259550	−	0.541185i
$154$	9.44851	+	5.18546i	0.761383	+	0.417856i
$155$			5.26509i			0.422902i
$156$	−2.59298	−	5.35868i	−0.207604	−	0.429038i
$157$	3.36112	+	10.3445i	0.268247	+	0.825579i	0.990928	+	0.134397i	$0.0429097\pi$
$157$	3.36112	+	10.3445i	0.268247	+	0.825579i	−0.722681	+	0.691182i	$0.757090\pi$
$158$	−10.8870	+	9.80267i	−0.866121	+	0.779859i
$159$	−11.8732	−	9.33955i	−0.941604	−	0.740675i
$160$	16.5631	+	1.74086i	1.30943	+	0.137627i
$161$	−3.99958	+	12.3095i	−0.315211	+	0.970121i
$162$	14.4627	+	5.48110i	1.13630	+	0.430636i
$163$	−7.91200	−	3.52265i	−0.619716	−	0.275915i	0.0727679	−	0.997349i	$-0.476817\pi$
$163$	−7.91200	−	3.52265i	−0.619716	−	0.275915i	−0.692483	+	0.721434i	$0.743483\pi$
$164$	1.75684			0.137186
$165$	−17.6379	+	7.50595i	−1.37311	+	0.584338i
$166$	−10.7679	+	18.6505i	−0.835751	+	1.44756i
$167$	1.74397	+	16.5927i	0.134952	+	1.28398i	0.827029	+	0.562159i	$0.190029\pi$
$167$	1.74397	+	16.5927i	0.134952	+	1.28398i	−0.692077	+	0.721824i	$0.743304\pi$
$168$	4.10667	−	4.22461i	0.316837	−	0.325936i
$169$	−12.9687	−	0.902069i	−0.997590	−	0.0693899i
$170$	−8.34118	+	11.4806i	−0.639739	+	0.880525i
$171$	1.67712	+	0.307140i	0.128253	+	0.0234876i
$172$	−5.29767	+	4.77005i	−0.403944	+	0.363713i
$173$	6.50976	−	7.22982i	0.494928	−	0.549673i	−0.442992	−	0.896526i	$-0.646083\pi$
$173$	6.50976	−	7.22982i	0.494928	−	0.549673i	0.937920	+	0.346853i	$0.112750\pi$
$174$	−6.17056	+	12.5464i	−0.467789	+	0.951137i
$175$	−10.0459	+	5.80002i	−0.759401	+	0.438440i
$176$	−15.2853	−	6.41234i	−1.15218	−	0.483348i
$177$	−7.87075	−	14.9212i	−0.591602	−	1.12155i
$178$	10.2371	−	22.9929i	0.767304	−	1.72339i
$179$	−3.80772	+	17.9139i	−0.284602	+	1.33895i	0.570845	+	0.821058i	$0.306616\pi$
$179$	−3.80772	+	17.9139i	−0.284602	+	1.33895i	−0.855447	+	0.517890i	$0.826718\pi$
$180$	−1.26571	−	9.45820i	−0.0943406	−	0.704973i
$181$	−20.1160	−	14.6151i	−1.49521	−	1.08633i	−0.972241	−	0.233983i	$-0.924824\pi$
$181$	−20.1160	−	14.6151i	−1.49521	−	1.08633i	−0.522970	−	0.852351i	$-0.675176\pi$
$182$	3.23166	+	11.2623i	0.239547	+	0.834820i
$183$	5.38094	−	0.930519i	0.397770	−	0.0687860i
$184$	2.55986	−	12.0432i	0.188715	−	0.887835i
$185$	−8.69815	+	0.914212i	−0.639501	+	0.0672142i
$186$	3.97471	+	2.50194i	0.291440	+	0.183451i
$187$	6.53408	−	4.96710i	0.477819	−	0.363230i
$188$	−4.31981	+	2.49404i	−0.315054	+	0.181897i
$189$	−8.46041	−	4.99686i	−0.615404	−	0.363468i
$190$	−1.00710	−	3.09954i	−0.0730628	−	0.224864i
$191$	−1.62875	−	7.66266i	−0.117852	−	0.554451i	−0.996966	−	0.0778388i	$-0.975198\pi$
$191$	−1.62875	−	7.66266i	−0.117852	−	0.554451i	0.879114	−	0.476612i	$-0.158135\pi$
$192$	−1.51893	+	1.93099i	−0.109620	+	0.139357i
$193$	10.7770	+	24.2056i	0.775747	+	1.74236i	0.662854	+	0.748749i	$0.269345\pi$
$193$	10.7770	+	24.2056i	0.775747	+	1.74236i	0.112893	+	0.993607i	$0.463988\pi$
$194$	1.18690	−	3.65292i	0.0852148	−	0.262264i
$195$	−19.2967	−	7.86635i	−1.38186	−	0.563321i
$196$	−2.64072	+	1.91859i	−0.188623	+	0.137042i
$197$	−0.175406	+	0.303811i	−0.0124971	+	0.0216457i	−0.872206	−	0.489138i	$-0.837311\pi$
$197$	−0.175406	+	0.303811i	−0.0124971	+	0.0216457i	0.859709	+	0.510784i	$0.170645\pi$
$198$	−2.71504	+	16.8820i	−0.192950	+	1.19975i
$199$	1.31577	+	2.27899i	0.0932727	+	0.161553i	0.908886	−	0.417044i	$-0.136934\pi$
$199$	1.31577	+	2.27899i	0.0932727	+	0.161553i	−0.815614	+	0.578597i	$0.803600\pi$
$200$	8.92732	−	6.48608i	0.631257	−	0.458635i
$201$	4.15753	−	16.4438i	0.293250	−	1.15985i
$202$	−7.17077	+	1.52419i	−0.504533	+	0.107242i
$203$	5.22101	−	7.18610i	0.366443	−	0.504366i
$204$	1.51813	+	3.79346i	0.106290	+	0.265595i
$205$	4.57016	−	4.11499i	0.319194	−	0.287403i
$206$	15.2438	+	3.24016i	1.06208	+	0.225753i
$207$	−20.5254	+	0.581261i	−1.42661	+	0.0404004i
$208$	−6.75343	−	16.7065i	−0.468266	−	1.15839i
$209$	0.0408408	+	1.88452i	0.00282502	+	0.130355i
$210$	−0.717359	+	18.7679i	−0.0495025	+	1.29511i
$211$	−9.96417	+	1.04728i	−0.685961	+	0.0720975i	−0.441096	−	0.897460i	$-0.645410\pi$
$211$	−9.96417	+	1.04728i	−0.685961	+	0.0720975i	−0.244865	+	0.969557i	$0.578744\pi$
$212$	6.17843	+	5.56309i	0.424337	+	0.382074i
$213$	14.1634	−	2.44927i	0.970462	−	0.167821i
$214$	0.562399	−	5.35087i	0.0384448	−	0.365778i
$215$	−2.60838	+	24.8171i	−0.177890	+	1.69251i
$216$	8.50092	+	3.88607i	0.578414	+	0.264413i
$217$	−2.21735	−	1.99651i	−0.150523	−	0.135532i
$218$	−27.5324	+	2.89377i	−1.86473	+	0.195991i
$219$	−27.0076	−	1.03230i	−1.82501	−	0.0697567i
$220$	9.96032	−	3.47664i	0.671525	−	0.234395i
$221$	8.83610	+	1.24018i	0.594381	+	0.0834234i
$222$	−3.44315	+	7.00082i	−0.231089	+	0.469864i
$223$	−27.8292	−	5.91527i	−1.86358	−	0.396116i	−0.868540	−	0.495618i	$-0.834942\pi$
$223$	−27.8292	−	5.91527i	−1.86358	−	0.396116i	−0.995037	+	0.0995025i	$0.968275\pi$
$224$	−7.01385	+	6.31530i	−0.468632	+	0.421959i
$225$	−14.0193	−	11.9221i	−0.934622	−	0.794804i
$226$	−0.0710013	+	0.0977249i	−0.00472293	+	0.00650056i
$227$	6.36238	−	1.35236i	0.422286	−	0.0897596i	0.00813282	−	0.999967i	$-0.497411\pi$
$227$	6.36238	−	1.35236i	0.422286	−	0.0897596i	0.414153	+	0.910207i	$0.364078\pi$
$228$	−0.909747	−	0.230014i	−0.0602495	−	0.0152331i
$229$	−15.7936	+	11.4747i	−1.04367	+	0.758270i	−0.970998	−	0.239087i	$-0.923152\pi$
$229$	−15.7936	+	11.4747i	−1.04367	+	0.758270i	−0.0726702	+	0.997356i	$0.523152\pi$
$230$	19.6245	+	33.9906i	1.29400	+	2.24127i
$231$	3.52718	−	10.2743i	0.232072	−	0.675999i
$232$	−4.22484	+	7.31763i	−0.277374	+	0.480426i
$233$	−9.11895	+	6.62531i	−0.597403	+	0.434038i	−0.844956	−	0.534836i	$-0.820373\pi$
$233$	−9.11895	+	6.62531i	−0.597403	+	0.434038i	0.247553	+	0.968874i	$0.420373\pi$
$234$	−15.1081	+	10.8294i	−0.987648	+	0.707939i
$235$	−5.39562	+	16.6060i	−0.351971	+	1.08326i
$236$	3.77635	+	8.48181i	0.245819	+	0.552119i
$237$	11.6052	+	9.12878i	0.753840	+	0.592978i
$238$	−1.67202	−	7.86625i	−0.108381	−	0.509893i
$239$	2.47468	+	7.61627i	0.160073	+	0.492655i	0.998640	−	0.0521444i	$-0.0166056\pi$
$239$	2.47468	+	7.61627i	0.160073	+	0.492655i	−0.838566	+	0.544800i	$0.816606\pi$
$240$	−1.91990	−	28.8212i	−0.123929	−	1.86040i
$241$	11.4470	−	6.60894i	0.737367	−	0.425719i	−0.0837439	−	0.996487i	$-0.526688\pi$
$241$	11.4470	−	6.60894i	0.737367	−	0.425719i	0.821111	+	0.570768i	$0.193354\pi$
$242$	−18.8858	+	0.818959i	−1.21402	+	0.0526447i
$243$	2.95964	−	15.3049i	0.189861	−	0.981811i
$244$	−2.98895	+	0.314151i	−0.191348	+	0.0201115i
$245$	−2.37557	+	11.1762i	−0.151770	+	0.714021i
$246$	−0.934769	−	5.40551i	−0.0595987	−	0.344643i
$247$	−1.42321	+	1.47431i	−0.0905564	+	0.0938084i
$248$	2.29627	+	1.66834i	0.145813	+	0.105939i
$249$	20.3720	+	7.49096i	1.29102	+	0.474720i
$250$	−1.35247	+	6.36285i	−0.0855375	+	0.402422i
$251$	−10.3705	+	23.2925i	−0.654579	+	1.47021i	0.215100	+	0.976592i	$0.430992\pi$
$251$	−10.3705	+	23.2925i	−0.654579	+	1.47021i	−0.869679	+	0.493617i	$0.835674\pi$
$252$	4.46320	+	3.05348i	0.281155	+	0.192351i
$253$	−5.19975	−	22.0972i	−0.326906	−	1.38924i
$254$	5.66087	−	3.26831i	0.355195	−	0.205072i
$255$	12.8345	+	6.31226i	0.803725	+	0.395289i
$256$	12.3833	−	13.7530i	0.773955	−	0.859564i
$257$	9.68677	−	8.72201i	0.604244	−	0.544064i	−0.309216	−	0.950992i	$-0.600067\pi$
$257$	9.68677	−	8.72201i	0.604244	−	0.544064i	0.913460	+	0.406928i	$0.133400\pi$
$258$	17.4954	+	13.7620i	1.08922	+	0.856788i
$259$	2.91330	−	4.00982i	0.181024	−	0.249158i
$260$	10.3089	+	5.02564i	0.639331	+	0.311677i
$261$	13.5201	+	3.97350i	0.836872	+	0.245954i
$262$	0.116204	+	1.10561i	0.00717910	+	0.0683046i
$263$	5.76566	−	9.98642i	0.355526	−	0.615789i	−0.631682	−	0.775228i	$-0.717635\pi$
$263$	5.76566	−	9.98642i	0.355526	−	0.615789i	0.987208	+	0.159439i	$0.0509684\pi$
$264$	−2.31530	+	10.0708i	−0.142497	+	0.619816i
$265$	29.1025			1.78775
$266$	1.68724	+	0.751206i	0.103451	+	0.0460594i
$267$	−24.5934	−	6.21804i	−1.50509	−	0.380538i
$268$	−2.88460	+	8.87790i	−0.176205	+	0.542304i
$269$	−1.50936	−	0.158640i	−0.0920274	−	0.00967247i	0.0584028	−	0.998293i	$-0.481399\pi$
$269$	−1.50936	−	0.158640i	−0.0920274	−	0.00967247i	−0.150430	+	0.988621i	$0.548066\pi$
$270$	−28.4279	+	8.92685i	−1.73007	+	0.543271i
$271$	−11.8104	+	10.6341i	−0.717430	+	0.645977i	−0.944731	−	0.327848i	$-0.893677\pi$
$271$	−11.8104	+	10.6341i	−0.717430	+	0.645977i	0.227300	+	0.973825i	$0.427010\pi$
$272$	3.82197	+	11.7628i	0.231741	+	0.713226i
$273$	10.6301	−	5.14373i	0.643363	−	0.311313i
$274$			24.9219i			1.50559i
$275$	9.78859	−	17.8360i	0.590274	−	1.07555i
$276$	11.2927	+	0.431636i	0.679738	+	0.0259814i
$277$	6.31932	−	14.1934i	0.379691	−	0.852800i	−0.618083	−	0.786113i	$-0.712090\pi$
$277$	6.31932	−	14.1934i	0.379691	−	0.852800i	0.997774	−	0.0666873i	$-0.0212430\pi$
$278$	6.05594	−	1.96769i	0.363211	−	0.118014i
$279$	1.80215	−	4.37715i	0.107892	−	0.262053i
$280$	−1.18645	+	11.2883i	−0.0709037	+	0.674603i
$281$	−15.1340	−	10.9955i	−0.902818	−	0.655936i	0.0363702	−	0.999338i	$-0.488420\pi$
$281$	−15.1340	−	10.9955i	−0.902818	−	0.655936i	−0.939188	+	0.343403i	$0.888420\pi$
$282$	9.97222	+	11.9643i	0.593837	+	0.712465i
$283$	5.72694	−	26.9431i	0.340431	−	1.60160i	−0.391469	−	0.920191i	$-0.628033\pi$
$283$	5.72694	−	26.9431i	0.340431	−	1.60160i	0.731900	−	0.681412i	$-0.238634\pi$
$284$	−7.86735	+	0.826892i	−0.466842	+	0.0490670i
$285$	−2.90532	+	1.53252i	−0.172097	+	0.0907787i
$286$	−15.0910	−	13.9490i	−0.892352	−	0.824823i
$287$			3.48508i			0.205718i
$288$	−13.1740	−	7.11655i	−0.776283	−	0.419347i
$289$	10.6381	+	2.26120i	0.625772	+	0.133012i
$290$	−5.60029	−	26.3473i	−0.328860	−	1.54717i
$291$	−3.83171	−	0.551403i	−0.224619	−	0.0323238i
$292$	14.7933	+	1.55484i	0.865713	+	0.0909901i
$293$	−14.7137	+	3.12750i	−0.859584	+	0.182710i	−0.616558	−	0.787309i	$-0.711473\pi$
$293$	−14.7137	+	3.12750i	−0.859584	+	0.182710i	−0.243026	+	0.970020i	$0.578140\pi$
$294$	7.30826	+	7.10423i	0.426226	+	0.414327i
$295$	29.6902	+	13.2189i	1.72863	+	0.769637i
$296$	−2.35744	+	4.08321i	−0.137024	+	0.237332i
$297$	17.2325	−	0.202935i	0.999931	−	0.0117755i
$298$	34.3822			1.99171
$299$	13.0737	−	20.9308i	0.756071	−	1.21046i
$300$	7.26252	+	7.05976i	0.419302	+	0.407595i
$301$	−9.46242	−	10.5091i	−0.545405	−	0.605733i
$302$	−12.8295	−	28.8155i	−0.738254	−	1.65814i
$303$	2.74527	+	6.85983i	0.157712	+	0.394087i
$304$	−2.70143	−	0.877748i	−0.154938	−	0.0503423i
$305$	−7.03947	+	7.81812i	−0.403079	+	0.447664i
$306$	10.8641	−	6.68943i	0.621059	−	0.382409i
$307$		−	10.3767i		−	0.592228i	−0.955153	−	0.296114i	$-0.904309\pi$
$307$		−	10.3767i		−	0.592228i	0.955153	−	0.296114i	$-0.0956908\pi$
$308$	−2.31277	+	5.51304i	−0.131782	+	0.314135i
$309$	0.599932	−	15.6957i	0.0341290	−	0.892897i
$310$	−8.99851	+	0.945782i	−0.511081	+	0.0537168i
$311$	−16.0206	+	5.20541i	−0.908446	+	0.295172i	−0.725719	−	0.687992i	$-0.758493\pi$
$311$	−16.0206	+	5.20541i	−0.908446	+	0.295172i	−0.182727	+	0.983164i	$0.558493\pi$
$312$	−9.54524	+	5.92328i	−0.540393	+	0.335340i
$313$	−12.3363	−	8.96283i	−0.697288	−	0.506609i	0.181760	−	0.983343i	$-0.441821\pi$
$313$	−12.3363	−	8.96283i	−0.697288	−	0.506609i	−0.879048	+	0.476734i	$0.841821\pi$
$314$	−17.0759	+	7.60266i	−0.963646	+	0.429043i
$315$	18.7624	−	2.51081i	1.05714	−	0.141468i
$316$	−6.03900	−	5.43754i	−0.339720	−	0.305885i
$317$	14.2440	+	19.6052i	0.800022	+	1.10114i	0.992787	+	0.119890i	$0.0382543\pi$
$317$	14.2440	+	19.6052i	0.800022	+	1.10114i	−0.192766	+	0.981245i	$0.561746\pi$
$318$	13.8293	−	21.9700i	0.775510	−	1.23202i
$319$	−1.29239	+	15.5255i	−0.0723597	+	0.869259i
$320$		−	4.73307i		−	0.264586i
$321$	−5.41077	+	0.360432i	−0.302000	+	0.0201174i
$322$	−21.7564	−	4.62447i	−1.21244	−	0.257711i
$323$	1.04522	−	0.941116i	0.0581573	−	0.0523651i
$324$	−2.18513	+	8.29634i	−0.121396	+	0.460908i
$325$	21.2599	−	6.10042i	1.17929	−	0.338390i
$326$	4.59927	−	14.1551i	0.254730	−	0.783978i
$327$	7.60242	+	26.8466i	0.420415	+	1.48462i
$328$	−0.346538	−	3.29709i	−0.0191344	−	0.182051i
$329$	−4.94748	−	8.56928i	−0.272763	−	0.472440i
$330$	−15.9967	−	28.7964i	−0.880588	−	1.58519i
$331$	15.8782	+	27.5019i	0.872746	+	1.51164i	0.859144	+	0.511733i	$0.170996\pi$
$331$	15.8782	+	27.5019i	0.872746	+	1.51164i	0.0136018	+	0.999907i	$0.495670\pi$
$332$	−10.9131	−	4.85883i	−0.598935	−	0.266663i
$333$	7.54415	+	2.21720i	0.413417	+	0.121502i
$334$	−28.0452	+	5.96118i	−1.53456	+	0.326181i
$335$	13.2905	+	29.8510i	0.726139	+	1.63094i
$336$	12.8658	+	10.1204i	0.701889	+	0.552113i
$337$	9.04177	+	2.93785i	0.492537	+	0.160035i	0.544746	−	0.838601i	$-0.316626\pi$
$337$	9.04177	+	2.93785i	0.492537	+	0.160035i	−0.0522090	+	0.998636i	$0.516626\pi$
$338$	−0.787877	−	22.3266i	−0.0428549	−	1.21441i
$339$	0.109249	+	0.0537309i	0.00593358	+	0.00291826i
$340$	−6.81706	−	3.93583i	−0.369707	−	0.213450i
$341$	5.14123	+	0.976884i	0.278413	+	0.0529012i
$342$	−0.223664	+	2.92153i	−0.0120944	+	0.157978i
$343$	−11.5864	−	15.9473i	−0.625607	−	0.861074i
$344$	9.99698	+	9.00132i	0.539001	+	0.485319i
$345$	30.3872	−	25.3276i	1.63599	−	1.36359i
$346$	13.5258	+	9.82705i	0.727150	+	0.528305i
$347$	−2.56960	+	24.4481i	−0.137943	+	1.31244i	0.678321	+	0.734766i	$0.262708\pi$
$347$	−2.56960	+	24.4481i	−0.137943	+	1.31244i	−0.816265	+	0.577678i	$0.803959\pi$
$348$	−7.27912	−	2.67660i	−0.390202	−	0.143481i
$349$	−6.96881	+	32.7857i	−0.373032	+	1.75498i	0.245673	+	0.969353i	$0.420991\pi$
$349$	−6.96881	+	32.7857i	−0.373032	+	1.75498i	−0.618705	+	0.785623i	$0.712342\pi$
$350$	−11.7173	−	16.1275i	−0.626318	−	0.862052i
$351$	13.3498	+	13.1446i	0.712562	+	0.701609i
$352$	4.77302	−	15.8505i	0.254403	−	0.844835i
$353$	−13.6735	−	7.89440i	−0.727767	−	0.420176i	0.0898378	−	0.995956i	$-0.471365\pi$
$353$	−13.6735	−	7.89440i	−0.727767	−	0.420176i	−0.817605	+	0.575780i	$0.804698\pi$
$354$	24.0878	−	16.1321i	1.28025	−	0.857414i
$355$	−18.5289	+	20.5785i	−0.983413	+	1.09219i
$356$	13.2779	+	4.31424i	0.703726	+	0.228654i
$357$	−7.52515	+	3.01153i	−0.398273	+	0.159387i
$358$	−31.3004	−	3.28981i	−1.65428	−	0.173872i
$359$	−6.91960	+	21.2963i	−0.365202	+	1.12398i	0.584652	+	0.811284i	$0.301231\pi$
$359$	−6.91960	+	21.2963i	−0.365202	+	1.12398i	−0.949854	+	0.312693i	$0.898769\pi$
$360$	−17.5007	+	4.24101i	−0.922367	+	0.223521i
$361$	−1.95228	−	18.5747i	−0.102751	−	0.977615i
$362$	21.3651	−	37.0054i	1.12292	−	1.94496i
$363$	4.05685	+	18.6156i	0.212929	+	0.977068i
$364$	−6.02562	+	2.43579i	−0.315828	+	0.127670i
$365$	42.1244	−	30.6052i	2.20489	−	1.60195i
$366$	2.55693	+	9.02935i	0.133653	+	0.471972i
$367$	−12.5609	−	13.9503i	−0.655673	−	0.728199i	0.320003	−	0.947417i	$-0.396316\pi$
$367$	−12.5609	−	13.9503i	−0.655673	−	0.728199i	−0.975676	+	0.219218i	$0.929650\pi$
$368$	34.0204	+	3.57569i	1.77343	+	0.186395i
$369$	−5.20791	+	1.85672i	−0.271113	+	0.0966570i
$370$	−3.12494	−	14.7017i	−0.162458	−	0.764304i
$371$	−11.0356	+	12.2563i	−0.572939	+	0.636314i
$372$	−1.14976	+	2.33776i	−0.0596123	+	0.121207i
$373$	9.79594	−	5.65569i	0.507215	−	0.292841i	−0.224473	−	0.974480i	$-0.572066\pi$
$373$	9.79594	−	5.65569i	0.507215	−	0.292841i	0.731688	+	0.681640i	$0.238733\pi$
$374$	9.66295	+	10.2751i	0.499659	+	0.531311i
$375$	6.55150	+	0.250416i	0.338318	+	0.0129314i
$376$	5.53269	+	7.61510i	0.285327	+	0.392719i
$377$	−12.9720	+	10.8889i	−0.668091	+	0.560804i
$378$	7.02031	−	15.3572i	0.361086	−	0.789889i
$379$	13.6352	−	6.07077i	0.700392	−	0.311835i	−0.0254694	−	0.999676i	$-0.508108\pi$
$379$	13.6352	−	6.07077i	0.700392	−	0.311835i	0.725861	+	0.687841i	$0.241441\pi$
$380$	1.65150	−	0.735296i	0.0847202	−	0.0377199i
$381$	−4.21811	−	5.06075i	−0.216100	−	0.259270i
$382$	12.8036	−	4.16014i	0.655089	−	0.212851i
$383$	−6.44514	+	14.4760i	−0.329331	+	0.739690i	−0.999998	−	0.00206869i	$-0.999342\pi$
$383$	−6.44514	+	14.4760i	−0.329331	+	0.739690i	0.670667	+	0.741759i	$0.266008\pi$
$384$	−18.2052	−	11.4595i	−0.929031	−	0.584792i
$385$	6.89667	+	19.7585i	0.351487	+	1.00698i
$386$	−39.4336	+	22.7670i	−2.00712	+	1.15881i
$387$	10.6630	−	19.7390i	0.542029	−	1.00339i
$388$	2.08399	+	0.442966i	0.105799	+	0.0224882i
$389$	12.7106	+	4.12991i	0.644451	+	0.209395i	0.612966	−	0.790109i	$-0.289976\pi$
$389$	12.7106	+	4.12991i	0.644451	+	0.209395i	0.0314850	+	0.999504i	$0.489976\pi$
$390$	9.97798	−	34.3928i	0.505255	−	1.74155i
$391$	−9.95608	+	13.7034i	−0.503501	+	0.693009i
$392$	4.12154	+	4.57743i	0.208169	+	0.231195i
$393$	1.07807	−	0.305288i	0.0543814	−	0.0153997i
$394$	−0.550749	−	0.245209i	−0.0277463	−	0.0123535i
$395$	−28.4457			−1.43126
$396$	−9.47054	−	0.518935i	−0.475913	−	0.0260775i
$397$	−5.94886	−	10.3037i	−0.298565	−	0.517130i	0.677243	−	0.735759i	$-0.263175\pi$
$397$	−5.94886	−	10.3037i	−0.298565	−	0.517130i	−0.975808	+	0.218630i	$0.929841\pi$
$398$	−3.65864	+	2.65815i	−0.183391	+	0.133241i
$399$	0.456284	−	1.80468i	0.0228427	−	0.0903470i
$400$	20.5146	+	22.7838i	1.02573	+	1.13919i
$401$	3.61088	+	8.11017i	0.180319	+	0.405002i	0.980978	−	0.194117i	$-0.0621841\pi$
$401$	3.61088	+	8.11017i	0.180319	+	0.405002i	−0.800660	+	0.599119i	$0.795517\pi$
$402$	28.8507	+	4.15176i	1.43894	+	0.207071i
$403$	3.18218	+	4.71590i	0.158516	+	0.234916i
$404$	−1.25661	−	3.86746i	−0.0625188	−	0.192413i
$405$	13.7479	+	26.6998i	0.683140	+	1.32672i
$406$	13.2196	+	7.63231i	0.656075	+	0.378785i
$407$	−0.721146	+	8.66315i	−0.0357459	+	0.429417i
$408$	6.81979	−	3.59735i	0.337630	−	0.178095i
$409$	3.49751	−	7.85554i	0.172941	−	0.388431i	−0.806192	−	0.591654i	$-0.798475\pi$
$409$	3.49751	−	7.85554i	0.172941	−	0.388431i	0.979132	+	0.203223i	$0.0651417\pi$
$410$	7.85383	+	7.07162i	0.387873	+	0.349242i
$411$	24.7511	−	4.28017i	1.22088	−	0.211125i
$412$	−0.903608	+	8.59725i	−0.0445176	+	0.423556i
$413$	−16.8255	+	7.49120i	−0.827929	+	0.368618i
$414$	−4.68046	−	34.9753i	−0.230032	−	1.71894i
$415$	−39.7695	+	12.9219i	−1.95221	+	0.634311i
$416$	15.8876	−	8.45135i	0.778955	−	0.414361i
$417$	−2.99427	−	5.67647i	−0.146630	−	0.277978i
$418$	−3.21348	+	0.408322i	−0.157177	+	0.0199717i
$419$	32.6190	+	18.8326i	1.59354	+	0.920032i	0.992693	+	0.120671i	$0.0385045\pi$
$419$	32.6190	+	18.8326i	1.59354	+	0.920032i	0.600850	+	0.799362i	$0.294829\pi$
$420$	−10.3951	+	0.692458i	−0.507229	+	0.0337885i
$421$	−7.90660	−	24.3340i	−0.385344	−	1.18597i	−0.936231	−	0.351386i	$-0.885710\pi$
$421$	−7.90660	−	24.3340i	−0.385344	−	1.18597i	0.550887	−	0.834580i	$-0.314290\pi$
$422$	−3.57978	−	16.8415i	−0.174261	−	0.819832i
$423$	10.1696	−	11.9586i	0.494464	−	0.581449i
$424$	9.22162	−	12.6925i	0.447842	−	0.616401i
$425$	−14.8491	+	3.15628i	−0.720289	+	0.153102i
$426$	6.73022	+	23.7666i	0.326080	+	1.15149i
$427$	−0.623187	−	5.92923i	−0.0301581	−	0.286935i
$428$	2.98448			0.144260
$429$	−11.2616	+	17.3832i	−0.543715	+	0.839270i
$430$	−42.8832			−2.06801
$431$	−0.0413854	−	0.393756i	−0.00199347	−	0.0189666i	0.993480	−	0.114007i	$-0.0363686\pi$
$431$	−0.0413854	−	0.393756i	−0.00199347	−	0.0189666i	−0.995473	+	0.0950404i	$0.969702\pi$
$432$	−8.26892	+	24.6178i	−0.397839	+	1.18442i
$433$	−21.0455	+	4.47336i	−1.01138	+	0.214976i	−0.683662	−	0.729798i	$-0.739614\pi$
$433$	−21.0455	+	4.47336i	−1.01138	+	0.214976i	−0.327721	+	0.944775i	$0.606281\pi$
$434$	3.01391	−	4.14829i	0.144672	−	0.199124i
$435$	−25.2048	+	10.0869i	−1.20848	+	0.483628i
$436$	−3.19276	−	15.0208i	−0.152905	−	0.719364i
$437$	−1.20208	−	3.69963i	−0.0575034	−	0.176977i
$438$	−3.08715	−	46.3439i	−0.147510	−	2.21440i
$439$	18.0118	+	10.3991i	0.859656	+	0.496323i	0.863897	−	0.503668i	$-0.168017\pi$
$439$	18.0118	+	10.3991i	0.859656	+	0.496323i	−0.00424080	+	0.999991i	$0.501350\pi$
$440$	−8.48934	−	18.0069i	−0.404714	−	0.858445i
$441$	5.80037	−	8.47825i	0.276208	−	0.403726i
$442$	−0.532323	+	15.3245i	−0.0253200	+	0.728910i
$443$	−15.3101	+	4.97456i	−0.727405	+	0.236348i	−0.649231	−	0.760591i	$-0.724909\pi$
$443$	−15.3101	+	4.97456i	−0.727405	+	0.236348i	−0.0781744	+	0.996940i	$0.524909\pi$
$444$	−4.06172	−	1.49353i	−0.192761	−	0.0708799i
$445$	44.6455	−	19.8774i	2.11640	−	0.942281i
$446$	5.11070	−	48.6251i	0.241999	−	2.30246i
$447$	−5.90490	−	34.1464i	−0.279292	−	1.61507i
$448$	1.99329	+	1.79477i	0.0941742	+	0.0847948i
$449$	11.8479	−	26.6108i	0.559138	−	1.25584i	−0.383967	−	0.923347i	$-0.625442\pi$
$449$	11.8479	−	26.6108i	0.559138	−	1.25584i	0.943104	−	0.332497i	$-0.107891\pi$
$450$	17.8575	−	26.1019i	0.841812	−	1.23045i
$451$	−3.17024	−	5.22614i	−0.149281	−	0.246089i
$452$	−0.0580278	−	0.0335024i	−0.00272940	−	0.00157582i
$453$	−26.4145	+	17.6904i	−1.24106	+	0.831166i
$454$	3.45420	+	10.6309i	0.162114	+	0.498935i
$455$	−9.96945	+	20.4499i	−0.467375	+	0.958708i
$456$	−0.252223	+	1.75271i	−0.0118114	+	0.0820780i
$457$	−7.22452	−	16.2265i	−0.337949	−	0.759045i	−0.999954	−	0.00954633i	$-0.996961\pi$
$457$	−7.22452	−	16.2265i	−0.337949	−	0.759045i	0.662006	−	0.749499i	$-0.269705\pi$
$458$	−22.4483	−	24.9314i	−1.04894	−	1.16497i
$459$	−8.50939	−	9.64075i	−0.397184	−	0.449991i
$460$	−17.6134	+	12.7969i	−0.821230	+	0.596658i
$461$	−17.0550	−	29.5401i	−0.794329	−	1.37582i	−0.923264	−	0.384166i	$-0.874489\pi$
$461$	−17.0550	−	29.5401i	−0.794329	−	1.37582i	0.128935	−	0.991653i	$-0.458844\pi$
$462$	18.1933	+	4.18267i	0.846428	+	0.194595i
$463$	10.8089			0.502334			0.251167	−	0.967944i	$-0.419186\pi$
$463$	10.8089			0.502334			0.251167	+	0.967944i	$0.419186\pi$
$464$	−21.4466	−	9.54864i	−0.995633	−	0.443284i
$465$	2.48473	+	8.77438i	0.115227	+	0.406902i
$466$	−12.9613	−	14.3950i	−0.600421	−	0.666835i
$467$	13.2518	−	18.2395i	0.613218	−	0.844022i	−0.383619	−	0.923491i	$-0.625323\pi$
$467$	13.2518	−	18.2395i	0.613218	−	0.844022i	0.996837	+	0.0794692i	$0.0253225\pi$
$468$	−6.85014	−	7.70665i	−0.316648	−	0.356240i
$469$	−17.6112	−	5.72224i	−0.813212	−	0.264228i
$470$	−29.3504	−	6.23862i	−1.35383	−	0.287766i
$471$	10.4832	+	15.6531i	0.483040	+	0.721255i
$472$	15.1731	−	8.76017i	0.698396	−	0.403219i
$473$	23.7493	+	7.15158i	1.09200	+	0.328830i
$474$	−13.5172	+	21.4742i	−0.620867	+	0.986342i
$475$	1.41805	−	3.18500i	0.0650647	−	0.146138i
$476$	4.24256	−	1.37849i	0.194457	−	0.0631830i
$477$	−24.1944	−	9.96130i	−1.10779	−	0.456097i
$478$	−12.5723	+	5.59757i	−0.575046	+	0.256027i
$479$	12.3786	−	5.51133i	0.565595	−	0.251819i	−0.103960	−	0.994581i	$-0.533151\pi$
$479$	12.3786	−	5.51133i	0.565595	−	0.251819i	0.669555	+	0.742762i	$0.266485\pi$
$480$	28.4243	−	4.91539i	1.29739	−	0.224356i
$481$	−7.23832	+	6.07594i	−0.330039	+	0.277039i
$482$	13.3515	+	18.3768i	0.608145	+	0.837040i
$483$	−0.856244	+	22.4014i	−0.0389605	+	1.01930i
$484$	−1.54682	−	10.3711i	−0.0703101	−	0.471412i
$485$	6.45873	−	3.72895i	0.293276	−	0.169323i
$486$	26.6891	+	2.30903i	1.21064	+	0.104740i
$487$	24.4183	−	27.1193i	1.10650	−	1.22889i	0.135253	−	0.990811i	$-0.456815\pi$
$487$	24.4183	−	27.1193i	1.10650	−	1.22889i	0.971246	−	0.238080i	$-0.0765180\pi$
$488$	1.17914	+	5.54743i	0.0533773	+	0.251121i
$489$	−14.8479	−	2.13669i	−0.671446	−	0.0966245i
$490$	−19.5278	−	2.05246i	−0.882178	−	0.0927207i
$491$	−23.7552	−	26.3828i	−1.07206	−	1.19064i	−0.980842	−	0.194807i	$-0.937592\pi$
$491$	−23.7552	−	26.3828i	−1.07206	−	1.19064i	−0.0912139	−	0.995831i	$-0.529075\pi$
$492$	2.92781	−	0.829098i	0.131996	−	0.0373786i
$493$	9.40439	−	6.83269i	0.423552	−	0.307729i
$494$	−2.77539	−	2.16755i	−0.124871	−	0.0975227i
$495$	−25.8517	+	20.8326i	−1.16195	+	0.936355i
$496$	−3.94296	+	6.82941i	−0.177044	+	0.306650i
$497$	−1.64032	−	15.6066i	−0.0735784	−	0.700052i
$498$	−9.14325	+	36.1631i	−0.409719	+	1.62051i
$499$	−0.503015	+	1.54812i	−0.0225180	+	0.0693034i	−0.961684	−	0.274160i	$-0.911600\pi$
$499$	−0.503015	+	1.54812i	−0.0225180	+	0.0693034i	0.939166	+	0.343464i	$0.111600\pi$
$500$	−3.58856	−	0.377172i	−0.160485	−	0.0168677i
$501$	10.7369	+	26.8291i	0.479688	+	1.19863i
$502$	−41.6718	−	13.5400i	−1.85990	−	0.604320i
$503$	17.3119	−	19.2268i	0.771897	−	0.857279i	−0.221120	−	0.975247i	$-0.570971\pi$
$503$	17.3119	−	19.2268i	0.771897	−	0.857279i	0.993017	+	0.117968i	$0.0376379\pi$
$504$	4.85015	−	8.97844i	0.216043	−	0.399932i
$505$	−12.3275	−	7.11728i	−0.548566	−	0.316715i
$506$	36.8321	−	12.8562i	1.63739	−	0.571529i
$507$	−22.0382	+	4.61692i	−0.978753	+	0.205045i
$508$	2.13123	+	2.93338i	0.0945578	+	0.130148i
$509$	−4.12588	+	19.4107i	−0.182876	+	0.860365i	0.787035	+	0.616908i	$0.211615\pi$
$509$	−4.12588	+	19.4107i	−0.182876	+	0.860365i	−0.969912	+	0.243457i	$0.921718\pi$
$510$	−8.48273	+	23.0691i	−0.375622	+	1.02152i
$511$	−3.08436	+	29.3457i	−0.136444	+	1.29818i
$512$	5.63399	+	4.09334i	0.248990	+	0.180902i
$513$	2.93991	−	0.279622i	0.129800	−	0.0123456i
$514$	16.6468	+	14.9888i	0.734257	+	0.661128i
$515$	17.7864	+	24.4809i	0.783764	+	1.07876i
$516$	−6.57757	+	10.4495i	−0.289561	+	0.460013i
$517$	15.2143	+	8.34977i	0.669123	+	0.367222i
$518$	7.37646	+	4.25880i	0.324103	+	0.187121i
$519$	7.43671	−	15.1208i	0.326435	−	0.663728i
$520$	7.39826	−	20.3382i	0.324435	−	0.891888i
$521$	15.5773	+	5.06138i	0.682455	+	0.221743i	0.629670	−	0.776863i	$-0.283190\pi$
$521$	15.5773	+	5.06138i	0.682455	+	0.221743i	0.0527852	+	0.998606i	$0.483190\pi$
$522$	−4.36242	+	23.8208i	−0.190938	+	1.04261i
$523$	8.07278	+	18.1318i	0.352998	+	0.792846i	0.999551	+	0.0299770i	$0.00954341\pi$
$523$	8.07278	+	18.1318i	0.352998	+	0.792846i	−0.646553	+	0.762869i	$0.723790\pi$
$524$	−0.603182	+	0.128210i	−0.0263501	+	0.00560090i
$525$	−14.0046	+	14.4068i	−0.611209	+	0.628763i
$526$	18.1034	+	8.06015i	0.789345	+	0.351439i
$527$	−1.95240	−	3.38165i	−0.0850477	−	0.147307i
$528$	−28.4995	−	3.47275i	−1.24028	−	0.151132i
$529$	11.9239	+	20.6528i	0.518430	+	0.897947i
$530$	5.22775	+	49.7387i	0.227079	+	2.16051i
$531$	−20.1585	−	21.1521i	−0.874802	−	0.917923i
$532$	−0.316582	+	0.974338i	−0.0137256	+	0.0422429i
$533$	1.60639	−	6.44793i	0.0695805	−	0.279291i
$534$	6.20940	−	43.1493i	0.268707	−	1.86725i
$535$	7.76366	−	6.99043i	0.335652	−	0.302223i
$536$	17.2303	+	3.66241i	0.744234	+	0.158192i
$537$	2.10839	+	31.6508i	0.0909835	+	1.36583i
$538$		−	2.60813i		−	0.112444i
$539$	10.4725	+	4.39332i	0.451083	+	0.189234i
$540$	−6.57289	−	15.1650i	−0.282852	−	0.652596i
$541$	17.5686	+	24.1811i	0.755332	+	1.03963i	0.997588	+	0.0694128i	$0.0221125\pi$
$541$	17.5686	+	24.1811i	0.755332	+	1.03963i	−0.242256	+	0.970212i	$0.577887\pi$
$542$	−20.2962	−	18.2748i	−0.871796	−	0.784969i
$543$	−40.4210	−	14.8632i	−1.73463	−	0.637839i
$544$	−11.2837	+	5.02381i	−0.483783	+	0.215394i
$545$	−43.4881	−	31.5959i	−1.86282	−	1.35342i
$546$	10.7006	+	17.2438i	0.457944	+	0.737967i
$547$	−1.48969	+	0.484030i	−0.0636946	+	0.0206956i	−0.340691	−	0.940175i	$-0.610661\pi$
$547$	−1.48969	+	0.484030i	−0.0636946	+	0.0206956i	0.276996	+	0.960871i	$0.410661\pi$
$548$	−13.7485	+	1.44502i	−0.587305	+	0.0617283i
$549$	8.52830	−	4.09013i	0.363979	−	0.174562i
$550$	32.2416	+	13.5257i	1.37479	+	0.576736i
$551$			2.66965i			0.113731i
$552$	−1.41743	−	21.2782i	−0.0603297	−	0.905662i
$553$	10.7865	−	11.9797i	0.458690	−	0.509427i
$554$	25.3930	+	8.25068i	1.07884	+	0.350538i
$555$	−14.0642	+	5.62843i	−0.596992	+	0.238913i
$556$	1.43663	+	3.22673i	0.0609269	+	0.136844i
$557$	−21.4875	−	23.8643i	−0.910454	−	1.01116i	−0.999885	−	0.0151691i	$-0.995171\pi$
$557$	−21.4875	−	23.8643i	−0.910454	−	1.01116i	0.0894304	−	0.995993i	$-0.471495\pi$
$558$	7.80467	+	2.29376i	0.330398	+	0.0971027i
$559$	12.6629	+	23.8050i	0.535585	+	1.00684i
$560$	−31.5356			−1.33262
$561$	8.54507	−	11.3614i	0.360773	−	0.479677i
$562$	16.0737	−	27.8405i	0.678028	−	1.17438i
$563$	−11.7648	−	5.23802i	−0.495826	−	0.220756i	0.143560	−	0.989642i	$-0.454145\pi$
$563$	−11.7648	−	5.23802i	−0.495826	−	0.220756i	−0.639387	+	0.768885i	$0.720812\pi$
$564$	−6.02204	+	6.19500i	−0.253574	+	0.260856i
$565$	−0.229422	+	0.0487651i	−0.00965185	+	0.00205156i
$566$	47.0770	+	4.94799i	1.97879	+	0.207979i
$567$	−16.4576	−	4.33468i	−0.691154	−	0.182040i
$568$	3.10368	+	14.6017i	0.130228	+	0.612672i
$569$	23.8700	+	5.07373i	1.00068	+	0.212702i	0.678995	−	0.734143i	$-0.262416\pi$
$569$	23.8700	+	5.07373i	1.00068	+	0.212702i	0.321690	+	0.946845i	$0.395749\pi$
$570$	−3.14110	−	4.69017i	−0.131566	−	0.196449i
$571$			37.0539i			1.55066i	0.631557	+	0.775330i	$0.282416\pi$
$571$			37.0539i			1.55066i	−0.631557	+	0.775330i	$0.717584\pi$
$572$	6.82013	−	9.13393i	0.285164	−	0.381909i
$573$	−6.33054	−	12.0013i	−0.264462	−	0.501363i
$574$	−5.95631	+	0.626033i	−0.248611	+	0.0261301i
$575$	−8.72962	+	41.0696i	−0.364050	+	1.71272i
$576$	−1.62005	+	3.93485i	−0.0675021	+	0.163952i
$577$	23.1447	+	16.8156i	0.963524	+	0.700042i	0.953967	−	0.299913i	$-0.0969576\pi$
$577$	23.1447	+	16.8156i	0.963524	+	0.700042i	0.00955786	+	0.999954i	$0.496958\pi$
$578$	−1.95364	+	18.5877i	−0.0812609	+	0.773146i
$579$	29.3833	+	35.2531i	1.22113	+	1.46507i
$580$	14.2101	−	4.61713i	0.590040	−	0.191716i
$581$	9.63855	−	21.6485i	0.399874	−	0.898133i
$582$	0.254096	−	6.64779i	0.0105326	−	0.275560i
$583$	5.39967	−	28.4179i	0.223631	−	1.17695i
$584$		−	28.0695i		−	1.16152i
$585$	−35.8706	−	4.00283i	−1.48307	−	0.165497i
$586$	−7.98823	−	24.5853i	−0.329991	−	1.01561i
$587$	−18.5397	+	16.6933i	−0.765217	+	0.689004i	−0.956241	−	0.292581i	$-0.905486\pi$
$587$	−18.5397	+	16.6933i	−0.765217	+	0.689004i	0.191024	+	0.981585i	$0.438819\pi$
$588$	−3.49538	+	4.44360i	−0.144147	+	0.183251i
$589$	0.891855	+	0.0937377i	0.0367482	+	0.00386240i
$590$	−17.2590	+	53.1178i	−0.710543	+	2.18683i
$591$	−0.148941	+	0.589086i	−0.00612660	+	0.0242317i
$592$	−11.9671	−	5.32810i	−0.491845	−	0.218984i
$593$	−18.1435			−0.745063			−0.372531	−	0.928020i	$-0.621510\pi$
$593$	−18.1435			−0.745063			−0.372531	+	0.928020i	$0.621510\pi$
$594$	3.44235	+	29.4154i	0.141241	+	1.20693i
$595$	7.80758	−	13.5231i	0.320079	−	0.554394i
$596$	1.99354	+	18.9673i	0.0816587	+	0.776931i
$597$	3.26827	+	3.17703i	0.133762	+	0.130027i
$598$	38.1211	+	18.5842i	1.55889	+	0.759966i
$599$	13.4348	−	18.4915i	0.548933	−	0.755541i	−0.440934	−	0.897539i	$-0.645353\pi$
$599$	13.4348	−	18.4915i	0.548933	−	0.755541i	0.989867	+	0.141998i	$0.0453527\pi$
$600$	11.8166	−	15.0222i	0.482411	−	0.613279i
$601$	15.0450	−	13.5466i	0.613698	−	0.552576i	−0.302578	−	0.953125i	$-0.597847\pi$
$601$	15.0450	−	13.5466i	0.613698	−	0.552576i	0.916276	+	0.400549i	$0.131180\pi$
$602$	16.2612	−	18.0599i	0.662757	−	0.736066i
$603$	−0.831615	−	29.3659i	−0.0338660	−	1.19587i
$604$	15.1525	−	8.74830i	0.616547	−	0.355963i
$605$	−28.3156	−	23.3557i	−1.15119	−	0.949544i
$606$	−11.2309	+	5.92416i	−0.456225	+	0.240653i
$607$	−10.5859	+	23.7763i	−0.429668	+	0.965050i	0.560882	+	0.827896i	$0.310462\pi$
$607$	−10.5859	+	23.7763i	−0.429668	+	0.965050i	−0.990550	+	0.137154i	$0.956204\pi$
$608$	0.589768	−	2.77464i	0.0239182	−	0.112526i
$609$	5.30961	−	14.4397i	0.215156	−	0.585126i
$610$	−14.6264	−	10.6267i	−0.592205	−	0.430262i
$611$	5.20372	+	18.1349i	0.210520	+	0.733661i
$612$	4.32022	+	5.60544i	0.174634	+	0.226586i
$613$	4.97552	−	23.4080i	0.200959	−	0.945439i	−0.755855	−	0.654739i	$-0.772778\pi$
$613$	4.97552	−	23.4080i	0.200959	−	0.945439i	0.956814	−	0.290700i	$-0.0938882\pi$
$614$	17.7347	−	1.86399i	0.715712	−	0.0752244i
$615$	5.67429	−	9.01448i	0.228809	−	0.363499i
$616$	10.8026	+	3.25296i	0.435249	+	0.131065i
$617$	14.2131	−	8.20593i	0.572197	−	0.330358i	−0.185829	−	0.982582i	$-0.559497\pi$
$617$	14.2131	−	8.20593i	0.572197	−	0.330358i	0.758026	+	0.652224i	$0.226164\pi$
$618$	26.9331	−	1.79412i	1.08341	−	0.0721701i
$619$	−6.82406	−	21.0023i	−0.274282	−	0.844154i	−0.989408	−	0.145158i	$-0.953631\pi$
$619$	−6.82406	−	21.0023i	−0.274282	−	0.844154i	0.715126	−	0.698995i	$-0.246369\pi$
$620$	−1.04350	−	4.90929i	−0.0419080	−	0.197162i
$621$	−33.9317	+	10.6551i	−1.36163	+	0.427576i
$622$	−11.7743	−	26.4456i	−0.472108	−	1.06037i
$623$	−8.55823	+	26.3395i	−0.342878	+	1.05527i
$624$	−19.1389	−	24.6546i	−0.766171	−	0.986973i
$625$	14.5956	−	10.6043i	0.583825	−	0.424174i
$626$	13.1023	−	22.6938i	0.523672	−	0.907027i
$627$	0.957416	+	3.12132i	0.0382355	+	0.124654i
$628$	−5.18418	−	8.97927i	−0.206871	−	0.358312i
$629$	5.24762	−	3.81262i	0.209236	−	0.152019i
$630$	7.66154	+	31.6156i	0.305243	+	1.25959i
$631$	10.8891	−	2.31455i	0.433488	−	0.0921407i	0.0140007	−	0.999902i	$-0.495543\pi$
$631$	10.8891	−	2.31455i	0.433488	−	0.0921407i	0.419487	+	0.907761i	$0.362210\pi$
$632$	−9.01351	+	12.4060i	−0.358538	+	0.493486i
$633$	−16.1112	+	6.44765i	−0.640364	+	0.256271i
$634$	−30.9483	+	27.8660i	−1.22911	+	1.10670i
$635$	12.4148	+	2.63885i	0.492667	+	0.104720i
$636$	12.9218	+	6.35523i	0.512384	+	0.252001i
$637$	4.62701	+	11.4462i	0.183329	+	0.453515i
$638$	−26.7666	+	0.580077i	−1.05970	+	0.0229655i
$639$	22.4477	−	10.7658i	0.888019	−	0.425889i
$640$	41.2155	−	4.33192i	1.62919	−	0.171234i
$641$	23.0583	+	20.7617i	0.910746	+	0.820039i	0.984164	−	0.177262i	$-0.0567239\pi$
$641$	23.0583	+	20.7617i	0.910746	+	0.820039i	−0.0734176	+	0.997301i	$0.523391\pi$
$642$	−1.58796	−	9.18274i	−0.0626718	−	0.362414i
$643$	−1.20798	+	11.4932i	−0.0476382	+	0.453248i	0.944538	+	0.328402i	$0.106510\pi$
$643$	−1.20798	+	11.4932i	−0.0476382	+	0.453248i	−0.992176	+	0.124845i	$0.960157\pi$
$644$	1.28966	−	12.2703i	0.0508197	−	0.483517i
$645$	7.36489	+	42.5891i	0.289992	+	1.67695i
$646$	1.79621	+	1.61731i	0.0706708	+	0.0636323i
$647$	15.8559	−	1.66652i	0.623360	−	0.0655177i	0.212417	−	0.977179i	$-0.431866\pi$
$647$	15.8559	−	1.66652i	0.623360	−	0.0655177i	0.410942	+	0.911661i	$0.365200\pi$
$648$	16.0009	+	2.46441i	0.628574	+	0.0968112i
$649$	18.4167	−	26.5392i	0.722919	−	1.04175i
$650$	14.2451	+	35.2393i	0.558740	+	1.38220i
$651$	−4.63746	−	2.28080i	−0.181756	−	0.0893916i
$652$	8.07549	+	1.71650i	0.316260	+	0.0672232i
$653$	−17.4318	+	15.6957i	−0.682160	+	0.614220i	−0.935571	−	0.353139i	$-0.885114\pi$
$653$	−17.4318	+	15.6957i	−0.682160	+	0.614220i	0.253411	+	0.967359i	$0.418448\pi$
$654$	−44.5176	+	17.8157i	−1.74078	+	0.696651i
$655$	−1.26878	+	1.74633i	−0.0495755	+	0.0682349i
$656$	9.00967	−	1.91506i	0.351769	−	0.0747707i
$657$	−45.4959	+	11.0252i	−1.77496	+	0.430135i
$658$	13.7569	−	9.99500i	0.536301	−	0.389646i
$659$	6.60777	+	11.4450i	0.257402	+	0.445833i	0.965545	−	0.260236i	$-0.0838002\pi$
$659$	6.60777	+	11.4450i	0.257402	+	0.445833i	−0.708143	+	0.706069i	$0.750467\pi$
$660$	14.9584	−	10.4944i	0.582253	−	0.408495i
$661$	1.20983	−	2.09549i	0.0470570	−	0.0815051i	−0.841538	−	0.540199i	$-0.818349\pi$
$661$	1.20983	−	2.09549i	0.0470570	−	0.0815051i	0.888595	+	0.458694i	$0.151682\pi$
$662$	−44.1509	+	32.0775i	−1.71597	+	1.24673i
$663$	15.3108	−	2.10320i	0.594623	−	0.0816814i
$664$	−6.96602	+	21.4392i	−0.270334	+	0.832003i
$665$	1.45862	+	3.27611i	0.0565628	+	0.127042i
$666$	−2.43422	+	13.2919i	−0.0943239	+	0.515051i
$667$	−6.68454	−	31.4483i	−0.258826	−	1.21768i
$668$	−4.91466	−	15.1258i	−0.190154	−	0.585234i
$669$	−49.1694	+	3.27536i	−1.90100	+	0.126633i
$670$	−48.6306	+	28.0769i	−1.87877	+	1.08471i
$671$	6.32811	+	8.32444i	0.244294	+	0.321362i
$672$	−8.70837	+	13.8346i	−0.335932	+	0.533680i
$673$	−0.926884	+	0.0974195i	−0.0357288	+	0.00375524i	−0.122376	−	0.992484i	$-0.539051\pi$
$673$	−0.926884	+	0.0974195i	−0.0357288	+	0.00375524i	0.0866472	+	0.996239i	$0.472385\pi$
$674$	−3.39685	+	15.9809i	−0.130842	+	0.615562i
$675$	−28.9898	−	13.2523i	−1.11582	−	0.510080i
$676$	12.2711	−	1.72918i	0.471964	−	0.0665070i
$677$	11.0330	+	8.01596i	0.424033	+	0.308078i	0.779259	−	0.626702i	$-0.215596\pi$
$677$	11.0330	+	8.01596i	0.424033	+	0.308078i	−0.355225	+	0.934781i	$0.615596\pi$
$678$	−0.0722062	+	0.196368i	−0.00277306	+	0.00754146i
$679$	−0.878719	+	4.13405i	−0.0337221	+	0.158650i
$680$	−6.04176	+	13.5700i	−0.231691	+	0.520387i
$681$	9.96481	−	5.25631i	0.381852	−	0.201422i
$682$	−0.746049	+	8.96231i	−0.0285677	+	0.343185i
$683$	−18.5093	+	10.6864i	−0.708241	+	0.408903i	−0.810409	−	0.585864i	$-0.800755\pi$
$683$	−18.5093	+	10.6864i	−0.708241	+	0.408903i	0.102169	+	0.994767i	$0.467422\pi$
$684$	−1.62466	+	0.0460089i	−0.0621204	+	0.00175919i
$685$	−32.3799	+	35.9615i	−1.23717	+	1.37402i
$686$	25.1741	−	22.6668i	0.961151	−	0.865424i
$687$	−20.9051	+	26.5762i	−0.797579	+	1.01394i
$688$	−21.9686	+	30.2372i	−0.837545	+	1.15278i
$689$	26.0669	−	17.5893i	0.993068	−	0.670099i
$690$	48.7456	+	47.3847i	1.85571	+	1.80390i
$691$	2.83789	+	27.0007i	0.107958	+	1.02716i	0.905632	+	0.424065i	$0.139397\pi$
$691$	2.83789	+	27.0007i	0.107958	+	1.02716i	−0.797673	+	0.603090i	$0.793936\pi$
$692$	−4.63695	+	8.03143i	−0.176270	+	0.305309i
$693$	1.02942	−	18.7869i	0.0391044	−	0.713654i
$694$	−42.2456			−1.60362
$695$	11.2950	+	5.02888i	0.428446	+	0.190756i
$696$	−3.58740	+	14.1888i	−0.135980	+	0.537824i
$697$	−1.40939	+	4.33766i	−0.0533845	+	0.164301i
$698$	−57.2854	−	6.02094i	−2.16829	−	0.227896i
$699$	−12.0703	+	15.3447i	−0.456539	+	0.580389i
$700$	8.21753	−	7.39910i	0.310593	−	0.279660i
$701$	6.79395	+	20.9096i	0.256604	+	0.789746i	0.993509	+	0.113750i	$0.0362863\pi$
$701$	6.79395	+	20.9096i	0.256604	+	0.789746i	−0.736905	+	0.675996i	$0.763714\pi$
$702$	−20.0673	+	25.1773i	−0.757392	+	0.950255i
$703$			1.48966i			0.0561835i
$704$	−4.62172	−	0.878172i	−0.174188	−	0.0330974i
$705$	−1.15511	+	30.2206i	−0.0435040	+	1.13817i
$706$	11.0360	−	24.7873i	0.415346	−	0.932883i
$707$	7.67194	−	2.49276i	0.288533	−	0.0937500i
$708$	10.2961	+	12.3530i	0.386952	+	0.464252i
$709$	−2.13793	+	20.3410i	−0.0802915	+	0.763922i	0.878102	+	0.478473i	$0.158810\pi$
$709$	−2.13793	+	20.3410i	−0.0802915	+	0.763922i	−0.958394	+	0.285449i	$0.907857\pi$
$710$	−38.4988	−	27.9710i	−1.44483	−	1.04973i
$711$	23.6484	+	9.73649i	0.886885	+	0.365147i
$712$	5.47753	−	25.7698i	0.205279	−	0.965762i
$713$	−10.7407	+	1.12889i	−0.402241	+	0.0422773i
$714$	−6.49874	−	12.3202i	−0.243209	−	0.461071i
$715$	−3.65256	−	39.7351i	−0.136598	−	1.48601i
$716$		−	17.4580i		−	0.652436i
$717$	7.71840	+	11.5248i	0.288249	+	0.430401i
$718$	−37.6403	−	8.00069i	−1.40472	−	0.298583i
$719$	0.674204	+	3.17188i	0.0251436	+	0.118291i	0.988930	−	0.148386i	$-0.0474077\pi$
$719$	0.674204	+	3.17188i	0.0251436	+	0.118291i	−0.963786	+	0.266677i	$0.914074\pi$
$720$	−16.8010	−	47.1251i	−0.626137	−	1.75625i
$721$	−17.0545	−	1.79250i	−0.635143	−	0.0667563i
$722$	31.3951	−	6.67323i	1.16840	−	0.248352i
$723$	15.9578	−	16.4161i	0.593475	−	0.610520i
$724$	21.6532	+	9.64063i	0.804735	+	0.358291i
$725$	14.4075	−	24.9546i	0.535082	−	0.926790i
$726$	−31.0870	+	10.2775i	−1.15375	+	0.381433i
$727$	−7.87386			−0.292025			−0.146013	−	0.989283i	$-0.546644\pi$
$727$	−7.87386			−0.292025			−0.146013	+	0.989283i	$0.546644\pi$
$728$	5.75985	+	10.8279i	0.213474	+	0.401309i
$729$	−2.29048	−	26.9027i	−0.0848325	−	0.996395i
$730$	59.8739	+	66.4967i	2.21603	+	2.46115i
$731$	−7.52734	−	16.9067i	−0.278409	−	0.625317i
$732$	−4.83288	+	1.93410i	−0.178629	+	0.0714863i
$733$	−25.7204	−	8.35708i	−0.950006	−	0.308676i	−0.207288	−	0.978280i	$-0.566464\pi$
$733$	−25.7204	−	8.35708i	−0.950006	−	0.308676i	−0.742718	+	0.669604i	$0.766464\pi$
$734$	21.5859	−	23.9736i	0.796751	−	0.884882i
$735$	1.31539	+	19.7464i	0.0485188	+	0.728358i
$736$			34.1617i			1.25922i
$737$	31.6147	−	7.43933i	1.16454	−	0.274031i
$738$	−4.10881	−	8.56725i	−0.151247	−	0.315365i
$739$	−9.05104	+	0.951303i	−0.332948	+	0.0349942i	−0.269528	−	0.962993i	$-0.586868\pi$
$739$	−9.05104	+	0.951303i	−0.332948	+	0.0349942i	−0.0634204	+	0.997987i	$0.520201\pi$
$740$	7.92916	−	2.57634i	0.291482	−	0.0947081i
$741$	−1.67603	+	3.12862i	−0.0615706	+	0.114933i
$742$	−22.9294	−	16.6592i	−0.841765	−	0.611578i
$743$	29.4738	−	13.1226i	1.08129	−	0.481421i	0.212784	−	0.977099i	$-0.431747\pi$
$743$	29.4738	−	13.1226i	1.08129	−	0.481421i	0.868506	+	0.495678i	$0.165080\pi$
$744$	4.61410	+	1.69665i	0.169161	+	0.0622021i
$745$	49.6123	+	44.6712i	1.81766	+	1.63662i
$746$	11.4257	+	15.7262i	0.418326	+	0.575777i
$747$	37.4854	+	2.86978i	1.37152	+	0.105000i
$748$	−5.10808	+	5.92644i	−0.186770	+	0.216692i
$749$			5.92035i			0.216325i
$750$	0.748879	+	11.2421i	0.0273452	+	0.410503i
$751$	38.4266	+	8.16783i	1.40221	+	0.298048i	0.846083	−	0.533051i	$-0.178955\pi$
$751$	38.4266	+	8.16783i	1.40221	+	0.298048i	0.556124	+	0.831100i	$0.312288\pi$
$752$	−19.4348	+	17.4991i	−0.708713	+	0.638128i
$753$	−6.29030	+	43.7115i	−0.229231	+	1.59294i
$754$	−20.9402	−	20.2143i	−0.762597	−	0.736161i
$755$	18.9261	−	58.2485i	0.688791	−	2.11988i
$756$	8.87902	+	2.98239i	0.322927	+	0.108469i
$757$	−0.426924	−	4.06191i	−0.0155168	−	0.147633i	0.984020	−	0.178056i	$-0.0569810\pi$
$757$	−0.426924	−	4.06191i	−0.0155168	−	0.147633i	−0.999537	+	0.0304238i	$0.990314\pi$
$758$	12.8248	+	22.2132i	0.465818	+	0.806821i
$759$	−19.0937	−	34.3716i	−0.693059	−	1.24761i
$760$	−1.70570	−	2.95436i	−0.0618722	−	0.107166i
$761$	−33.4457	−	14.8910i	−1.21240	−	0.539797i	−0.301917	−	0.953334i	$-0.597627\pi$
$761$	−33.4457	−	14.8910i	−1.21240	−	0.539797i	−0.910487	+	0.413537i	$0.864293\pi$
$762$	7.89156	−	8.11820i	0.285881	−	0.294092i
$763$	29.7969	−	6.33353i	1.07872	−	0.229289i
$764$	3.03736	+	6.82203i	0.109888	+	0.246812i
$765$	24.3678	+	4.46260i	0.881020	+	0.161346i
$766$	−25.8986	−	8.41496i	−0.935753	−	0.304045i
$767$	34.5827	−	6.10442i	1.24871	−	0.220418i
$768$	14.1466	−	28.7637i	0.510471	−	1.03792i
$769$	−27.1946	−	15.7008i	−0.980662	−	0.566186i	−0.0781922	−	0.996938i	$-0.524915\pi$
$769$	−27.1946	−	15.7008i	−0.980662	−	0.566186i	−0.902470	+	0.430753i	$0.858248\pi$
$770$	−32.5301	+	15.3363i	−1.17230	+	0.552682i
$771$	12.0271	−	19.1068i	0.433144	−	0.688116i
$772$	−14.8461	−	20.4339i	−0.534323	−	0.735432i
$773$	−22.5207	−	20.2777i	−0.810013	−	0.729339i	0.156021	−	0.987754i	$-0.450133\pi$
$773$	−22.5207	−	20.2777i	−0.810013	−	0.729339i	−0.966034	+	0.258415i	$0.916800\pi$
$774$	35.6511	+	14.6782i	1.28145	+	0.527597i
$775$	−7.83073	−	5.68935i	−0.281288	−	0.204368i
$776$	0.420252	−	3.99843i	0.0150862	−	0.143535i
$777$	2.96274	−	8.05730i	0.106288	−	0.289054i
$778$	−4.77515	+	22.4653i	−0.171198	+	0.805421i
$779$	−0.615673	−	0.847402i	−0.0220588	−	0.0303613i
$780$	19.5517	+	3.51030i	0.700063	+	0.125689i
$781$	16.6565	+	21.9112i	0.596017	+	0.784043i
$782$	−25.2087	−	14.5543i	−0.901462	−	0.520459i
$783$	24.4067	+	0.241453i	0.872223	+	0.00862882i
$784$	−11.4511	+	12.7177i	−0.408968	+	0.454205i
$785$	−34.5177	−	11.2155i	−1.23199	−	0.400298i
$786$	0.715420	+	1.78768i	0.0255182	+	0.0637643i
$787$	−28.3365	−	2.97829i	−1.01009	−	0.106164i	−0.414997	−	0.909823i	$-0.636217\pi$
$787$	−28.3365	−	2.97829i	−1.01009	−	0.106164i	−0.595091	+	0.803659i	$0.702884\pi$
$788$	0.103339	−	0.318044i	0.00368130	−	0.0113299i
$789$	4.89575	−	19.3635i	0.174293	−	0.689360i
$790$	−5.10977	−	48.6162i	−0.181798	−	1.72969i
$791$	0.0664592	−	0.115111i	0.00236302	−	0.00409287i
$792$	0.894177	+	17.8759i	0.0317732	+	0.635191i
$793$	−1.57999	+	11.2572i	−0.0561071	+	0.399756i
$794$	16.5414	−	12.0180i	0.587032	−	0.426504i
$795$	48.4998	−	13.7342i	1.72011	−	0.487102i
$796$	−1.67853	−	1.86420i	−0.0594941	−	0.0660749i
$797$	−17.5093	−	1.84030i	−0.620210	−	0.0651867i	−0.210788	−	0.977532i	$-0.567603\pi$
$797$	−17.5093	−	1.84030i	−0.620210	−	0.0651867i	−0.409422	+	0.912345i	$0.634270\pi$
$798$	3.16632	+	0.455650i	0.112087	+	0.0161298i
$799$	−2.69234	−	12.6665i	−0.0952481	−	0.448107i
$800$	−20.4870	+	22.7531i	−0.724323	+	0.804443i
$801$	−43.9199	+	1.24377i	−1.55183	+	0.0439465i
$802$	−13.2124	+	7.62816i	−0.466545	+	0.269360i
$803$	−22.0695	−	46.8119i	−0.778814	−	1.65196i
$804$	−0.617546	+	16.1565i	−0.0217792	+	0.569796i
$805$	−25.3854	−	34.9400i	−0.894719	−	1.23147i
$806$	−7.48827	+	6.28575i	−0.263763	+	0.221406i
$807$	−2.59025	+	0.447928i	−0.0911810	+	0.0157678i
$808$	−7.01024	+	3.12116i	−0.246619	+	0.109802i
$809$	−5.82620	+	2.59399i	−0.204838	+	0.0911999i	−0.506592	−	0.862186i	$-0.669095\pi$
$809$	−5.82620	+	2.59399i	−0.204838	+	0.0911999i	0.301753	+	0.953386i	$0.402428\pi$
$810$	−43.1628	+	28.2926i	−1.51659	+	0.994100i
$811$	0.580182	−	0.188513i	0.0203729	−	0.00661957i	−0.298813	−	0.954312i	$-0.596591\pi$
$811$	0.580182	−	0.188513i	0.0203729	−	0.00661957i	0.319186	+	0.947692i	$0.396591\pi$
$812$	−3.44395	+	7.73525i	−0.120859	+	0.271454i
$813$	−14.6637	+	23.2956i	−0.514280	+	0.817012i
$814$	−14.9356	+	0.323681i	−0.523494	+	0.0113450i
$815$	25.0276	−	14.4497i	0.876680	−	0.506151i
$816$	11.9206	+	17.7993i	0.417303	+	0.623100i
$817$	4.15734	+	0.883669i	0.145447	+	0.0309157i
$818$	14.0541	+	4.56645i	0.491389	+	0.159662i
$819$	15.2878	−	13.5887i	0.534199	−	0.474829i
$820$	−3.44576	+	4.74268i	−0.120331	+	0.165621i
$821$	−5.23178	−	5.81048i	−0.182590	−	0.202787i	0.644900	−	0.764267i	$-0.276899\pi$
$821$	−5.23178	−	5.81048i	−0.182590	−	0.202787i	−0.827490	+	0.561480i	$0.810232\pi$
$822$	11.7613	+	41.5329i	0.410222	+	1.44863i
$823$	−35.0678	−	15.6132i	−1.22239	−	0.544241i	−0.308893	−	0.951097i	$-0.599958\pi$
$823$	−35.0678	−	15.6132i	−1.22239	−	0.544241i	−0.913492	+	0.406856i	$0.866625\pi$
$824$	16.3128			0.568284
$825$	7.89564	−	34.3435i	0.274891	−	1.19569i
$826$	−15.8255	−	27.4106i	−0.550641	−	0.953738i
$827$	−1.55483	+	1.12965i	−0.0540668	+	0.0392818i	−0.614490	−	0.788924i	$-0.710638\pi$
$827$	−1.55483	+	1.12965i	−0.0540668	+	0.0392818i	0.560424	+	0.828206i	$0.310638\pi$
$828$	19.0231	−	4.60996i	0.661100	−	0.160207i
$829$	15.2980	+	16.9902i	0.531323	+	0.590094i	0.947726	−	0.319086i	$-0.103376\pi$
$829$	15.2980	+	16.9902i	0.531323	+	0.590094i	−0.416403	+	0.909180i	$0.636709\pi$
$830$	−29.2286	−	65.6484i	−1.01454	−	2.27869i
$831$	3.83304	−	26.6359i	0.132967	−	0.923988i
$832$	−2.86063	−	4.23937i	−0.0991743	−	0.146974i
$833$	−2.61857	−	8.05912i	−0.0907280	−	0.279232i
$834$	9.16373	−	6.13715i	0.317314	−	0.212512i
$835$	−48.2133	−	27.8360i	−1.66849	−	0.963304i
$836$	−0.411579	−	1.74908i	−0.0142348	−	0.0604931i
$837$	0.937637	−	8.14509i	0.0324095	−	0.281535i
$838$	−26.3271	+	59.1317i	−0.909456	+	2.04267i
$839$	−40.1586	−	36.1589i	−1.38643	−	1.24835i	−0.934345	−	0.356369i	$-0.884014\pi$
$839$	−40.1586	−	36.1589i	−1.38643	−	1.24835i	−0.452083	−	0.891976i	$-0.649319\pi$
$840$	3.34999	+	19.3720i	0.115585	+	0.668399i
$841$	0.724949	−	6.89742i	0.0249982	−	0.237842i
$842$	40.1687	−	17.8843i	1.38430	−	0.616332i
$843$	−30.4101	−	11.1821i	−1.04738	−	0.385131i
$844$	9.08325	−	2.95133i	0.312658	−	0.101589i
$845$	27.8711	−	33.2403i	0.958795	−	1.14350i
$846$	22.2652	+	15.2326i	0.765492	+	0.523709i
$847$	20.5733	−	3.06846i	0.706906	−	0.105433i
$848$	37.7492	+	21.7945i	1.29631	+	0.748426i
$849$	−3.17109	−	47.6040i	−0.108831	−	1.63376i
$850$	−8.06175	−	24.8115i	−0.276516	−	0.851028i
$851$	−3.72995	−	17.5480i	−0.127861	−	0.601538i
$852$	−12.7209	+	5.09083i	−0.435810	+	0.174409i
$853$	4.69929	−	6.46802i	0.160901	−	0.221461i	−0.720953	−	0.692984i	$-0.756296\pi$
$853$	4.69929	−	6.46802i	0.160901	−	0.221461i	0.881854	+	0.471523i	$0.156296\pi$
$854$	10.0216	−	2.13016i	0.342933	−	0.0728927i
$855$	−4.11854	+	3.92507i	−0.140851	+	0.134235i
$856$	−0.588690	−	5.60101i	−0.0201210	−	0.191439i
$857$	21.1854			0.723678			0.361839	−	0.932241i	$-0.382149\pi$
$857$	21.1854			0.723678			0.361839	+	0.932241i	$0.382149\pi$
$858$	−31.7324	−	16.1245i	−1.08333	−	0.550481i
$859$	−19.1795			−0.654394			−0.327197	−	0.944956i	$-0.606104\pi$
$859$	−19.1795			−0.654394			−0.327197	+	0.944956i	$0.606104\pi$
$860$	−2.48645	−	23.6570i	−0.0847872	−	0.806696i
$861$	1.64470	+	5.80795i	0.0560511	+	0.197934i
$862$	0.665530	−	0.141463i	0.0226680	−	0.00481824i
$863$	−12.7366	+	17.5304i	−0.433558	+	0.596742i	−0.968765	−	0.247979i	$-0.920234\pi$
$863$	−12.7366	+	17.5304i	−0.433558	+	0.596742i	0.535207	+	0.844721i	$0.320234\pi$
$864$	−25.3131	−	5.64276i	−0.861170	−	0.191970i
$865$	6.74942	+	31.7535i	0.229487	+	1.07965i
$866$	−11.4258	−	35.1651i	−0.388266	−	1.19496i
$867$	18.7958	−	1.25206i	0.638338	−	0.0425222i
$868$	2.46320	+	1.42213i	0.0836064	+	0.0482702i
$869$	−5.27781	+	27.7765i	−0.179037	+	0.942254i
$870$	−21.7669	−	41.2653i	−0.737968	−	1.39903i
$871$	29.9459	+	18.7046i	1.01468	+	0.633783i
$872$	−27.5599	+	8.95475i	−0.933295	+	0.303246i
$873$	−6.64584	+	0.889358i	−0.224928	+	0.0301002i
$874$	6.10706	−	2.71904i	0.206574	−	0.0919729i
$875$	0.748203	−	7.11868i	0.0252939	−	0.240655i
$876$	25.3871	−	4.39016i	0.857751	−	0.148330i
$877$	−22.4386	−	20.2038i	−0.757697	−	0.682233i	0.196804	−	0.980443i	$-0.436944\pi$
$877$	−22.4386	−	20.2038i	−0.757697	−	0.682233i	−0.954500	+	0.298210i	$0.903611\pi$
$878$	−14.5375	+	32.6518i	−0.490617	+	1.10194i
$879$	−23.0447	+	12.1558i	−0.777280	+	0.410005i
$880$	47.2901	−	28.6867i	1.59415	−	0.967030i
$881$	−8.86743	−	5.11961i	−0.298751	−	0.172484i	0.343131	−	0.939288i	$-0.388513\pi$
$881$	−8.86743	−	5.11961i	−0.298751	−	0.172484i	−0.641882	+	0.766804i	$0.721846\pi$
$882$	15.5320	+	8.39038i	0.522990	+	0.282519i
$883$	13.3215	+	40.9994i	0.448305	+	1.37974i	0.878818	+	0.477156i	$0.158332\pi$
$883$	13.3215	+	40.9994i	0.448305	+	1.37974i	−0.430514	+	0.902584i	$0.641668\pi$
$884$	−8.48477	+	0.594880i	−0.285374	+	0.0200080i
$885$	55.7177	+	8.01806i	1.87293	+	0.269524i
$886$	−11.2522	−	25.2728i	−0.378023	−	0.849055i
$887$	−6.01597	−	6.68141i	−0.201997	−	0.224340i	0.633632	−	0.773634i	$-0.281563\pi$
$887$	−6.01597	−	6.68141i	−0.201997	−	0.224340i	−0.835629	+	0.549294i	$0.814897\pi$
$888$	−2.00175	+	7.91729i	−0.0671745	+	0.265687i
$889$	−5.81900	+	4.22775i	−0.195163	+	0.141794i
$890$	41.9921	+	72.7324i	1.40758	+	2.43800i
$891$	28.6225	−	8.47064i	0.958890	−	0.283777i
$892$	27.1209			0.908074
$893$	2.71683	+	1.20961i	0.0909154	+	0.0404781i
$894$	57.2986	−	16.2258i	1.91635	−	0.542672i
$895$	−40.8912	−	45.4143i	−1.36684	−	1.51803i
$896$	−13.8045	+	19.0002i	−0.461175	+	0.634753i
$897$	11.9098	−	41.0514i	0.397656	−	1.37067i
$898$	47.6086	+	15.4690i	1.58872	+	0.516206i
$899$	7.24978	+	1.54099i	0.241794	+	0.0513949i
$900$	15.4348	+	8.33786i	0.514493	+	0.277929i
$901$	−18.6919	+	10.7917i	−0.622716	+	0.359525i
$902$	8.36246	−	6.35701i	0.278440	−	0.211665i
$903$	−20.7288	−	13.0480i	−0.689811	−	0.434211i
$904$	−0.0514283	+	0.115510i	−0.00171048	+	0.00384180i
$905$	78.9085	−	25.6389i	2.62301	−	0.852266i
$906$	−34.9793	−	41.9670i	−1.16211	−	1.39426i
$907$	9.36308	−	4.16871i	0.310896	−	0.138420i	−0.245357	−	0.969433i	$-0.578905\pi$
$907$	9.36308	−	4.16871i	0.310896	−	0.138420i	0.556253	+	0.831013i	$0.312239\pi$
$908$	−5.66439	+	2.52195i	−0.187979	+	0.0836938i
$909$	7.81237	+	10.1365i	0.259120	+	0.336206i
$910$	−36.7416	−	13.3652i	−1.21797	−	0.443052i
$911$	−1.47359	−	2.02822i	−0.0488221	−	0.0671978i	0.783908	−	0.620877i	$-0.213223\pi$
$911$	−1.47359	−	2.02822i	−0.0488221	−	0.0671978i	−0.832730	+	0.553679i	$0.813223\pi$
$912$	−4.91622	−	0.187911i	−0.162792	−	0.00622236i
$913$	5.23909	+	41.2315i	0.173389	+	1.36456i
$914$	26.4348	−	15.2622i	0.874386	−	0.504827i
$915$	−8.04184	+	16.3512i	−0.265855	+	0.540552i
$916$	12.4521	−	13.8294i	0.411428	−	0.456937i
$917$	−0.254333	−	1.19654i	−0.00839882	−	0.0395133i
$918$	14.9483	−	16.2751i	0.493368	−	0.537158i
$919$	9.73538	+	1.02323i	0.321141	+	0.0337532i	0.263727	−	0.964597i	$-0.415048\pi$
$919$	9.73538	+	1.02323i	0.321141	+	0.0337532i	0.0574132	+	0.998351i	$0.481715\pi$
$920$	27.4904	+	30.5312i	0.906331	+	1.00658i
$921$	−4.89701	−	17.2929i	−0.161362	−	0.569821i
$922$	47.4230	−	34.4548i	1.56179	−	1.13471i
$923$	−4.15877	+	29.6307i	−0.136888	+	0.975306i
$924$	−1.25254	+	10.2790i	−0.0412054	+	0.338156i
$925$	8.03935	−	13.9246i	0.264332	−	0.457837i
$926$	1.94164	+	18.4734i	0.0638061	+	0.607075i
$927$	−6.40740	−	26.4403i	−0.210447	−	0.868414i
$928$	7.24478	−	22.2971i	0.237822	−	0.731939i
$929$	19.3719	+	2.03607i	0.635571	+	0.0668012i	0.416834	−	0.908983i	$-0.363140\pi$
$929$	19.3719	+	2.03607i	0.635571	+	0.0668012i	0.218737	+	0.975784i	$0.429806\pi$
$930$	−14.5499	+	5.82279i	−0.477109	+	0.190937i
$931$	1.85084	+	0.601376i	0.0606590	+	0.0197093i
$932$	7.18963	−	7.98489i	0.235504	−	0.261554i
$933$	−24.2421	+	16.2355i	−0.793651	+	0.531525i
$934$	33.5533	+	19.3720i	1.09790	+	0.633872i
$935$	0.593398	+	27.3812i	0.0194062	+	0.895462i
$936$	−13.1120	+	14.3759i	−0.428579	+	0.469891i
$937$	−9.05884	−	12.4684i	−0.295939	−	0.407326i	0.634993	−	0.772518i	$-0.281003\pi$
$937$	−9.05884	−	12.4684i	−0.295939	−	0.407326i	−0.930932	+	0.365193i	$0.881003\pi$
$938$	6.61627	−	31.1271i	0.216029	−	1.01634i
$939$	−24.7884	−	9.11493i	−0.808940	−	0.297455i
$940$	1.73981	−	16.5532i	0.0567463	−	0.539905i
$941$	−14.7501	−	10.7166i	−0.480839	−	0.349350i	0.320811	−	0.947143i	$-0.396044\pi$
$941$	−14.7501	−	10.7166i	−0.480839	−	0.349350i	−0.801650	+	0.597793i	$0.796044\pi$
$942$	−24.8694	+	20.7285i	−0.810288	+	0.675371i
$943$	9.37438	+	8.44073i	0.305272	+	0.274868i
$944$	28.6121	+	39.3811i	0.931243	+	1.28175i
$945$	30.0830	−	13.0388i	0.978599	−	0.424151i
$946$	−7.95654	+	41.8744i	−0.258689	+	1.36145i
$947$	8.80630	+	5.08432i	0.286166	+	0.165218i	0.636212	−	0.771515i	$-0.280500\pi$
$947$	8.80630	+	5.08432i	0.286166	+	0.165218i	−0.350045	+	0.936733i	$0.613834\pi$
$948$	−12.6302	−	6.21181i	−0.410210	−	0.201750i
$949$	19.2330	−	52.8724i	0.624329	−	1.71631i
$950$	5.69817	+	1.85145i	0.184873	+	0.0600689i
$951$	32.9900	+	25.9503i	1.06978	+	0.841495i
$952$	−3.42388	−	7.69016i	−0.110969	−	0.249239i
$953$	−14.0663	+	2.98988i	−0.455652	+	0.0968518i	−0.430019	−	0.902820i	$-0.641493\pi$
$953$	−14.0663	+	2.98988i	−0.455652	+	0.0968518i	−0.0256324	+	0.999671i	$0.508160\pi$
$954$	12.6786	−	43.1398i	0.410486	−	1.39670i
$955$	23.8802	+	10.6322i	0.772746	+	0.344049i
$956$	−3.81693	−	6.61112i	−0.123448	−	0.213819i
$957$	5.17307	+	26.4834i	0.167222	+	0.856087i
$958$	11.6430	+	20.1662i	0.376167	+	0.651540i
$959$	−2.86651	−	27.2731i	−0.0925646	−	0.880693i
$960$	−2.23365	−	7.88775i	−0.0720908	−	0.254576i
$961$	−8.81017	+	27.1149i	−0.284199	+	0.874675i
$962$	−11.6846	−	11.2795i	−0.376725	−	0.363666i
$963$	−8.84705	+	3.15415i	−0.285092	+	0.101641i
$964$	−9.36361	+	8.43104i	−0.301582	+	0.271545i
$965$	−86.4815	−	18.3822i	−2.78394	−	0.591744i
$966$	−38.4399	+	2.56063i	−1.23678	+	0.0823869i
$967$		−	46.6385i		−	1.49979i	−0.661555	−	0.749897i	$-0.730103\pi$
$967$		−	46.6385i		−	1.49979i	0.661555	−	0.749897i	$-0.269897\pi$
$968$	−19.1584	+	4.94864i	−0.615775	+	0.159055i
$969$	1.29774	−	2.06165i	0.0416893	−	0.0662298i
$970$	7.53330	+	10.3687i	0.241880	+	0.332919i
$971$	−13.7422	−	12.3735i	−0.441007	−	0.397085i	0.418493	−	0.908220i	$-0.362558\pi$
$971$	−13.7422	−	12.3735i	−0.441007	−	0.397085i	−0.859500	+	0.511135i	$0.829225\pi$
$972$	0.273685	+	14.8572i	0.00877846	+	0.476546i
$973$	−6.40092	+	2.84988i	−0.205204	+	0.0913628i
$974$	50.7355	+	36.8615i	1.62567	+	1.18112i
$975$	32.5512	−	20.1996i	1.04247	−	0.646904i
$976$	−14.9859	+	4.86921i	−0.479686	+	0.155860i
$977$	−10.1387	+	1.06562i	−0.324366	+	0.0340922i	−0.265312	−	0.964163i	$-0.585475\pi$
$977$	−10.1387	+	1.06562i	−0.324366	+	0.0340922i	−0.0590538	+	0.998255i	$0.518808\pi$
$978$	0.984626	−	25.7602i	0.0314849	−	0.823722i
$979$	−11.1263	−	47.2833i	−0.355599	−	1.51118i
$980$		−	10.8918i		−	0.347924i
$981$	25.3392	+	41.1526i	0.809018	+	1.31390i
$982$	40.8233	−	45.3389i	1.30272	−	1.44682i
$983$	13.7375	+	4.46359i	0.438159	+	0.142366i	0.519786	−	0.854297i	$-0.326012\pi$
$983$	13.7375	+	4.46359i	0.438159	+	0.142366i	−0.0816272	+	0.996663i	$0.526012\pi$
$984$	−2.13349	−	5.33112i	−0.0680132	−	0.169950i
$985$	−0.476124	−	1.06939i	−0.0151706	−	0.0340736i
$986$	13.3670	+	14.8456i	0.425692	+	0.472779i
$987$	−12.2891	−	11.9460i	−0.391167	−	0.380246i
$988$	1.03483	−	1.65675i	0.0329223	−	0.0527083i
$989$	−51.1856			−1.62761
$990$	−40.2485	−	40.4406i	−1.27918	−	1.28529i
$991$	−7.41023	+	12.8349i	−0.235394	+	0.407714i	−0.959387	−	0.282093i	$-0.908971\pi$
$991$	−7.41023	+	12.8349i	−0.235394	+	0.407714i	0.723993	+	0.689807i	$0.242305\pi$
$992$	−7.19445	−	3.20318i	−0.228424	−	0.101701i
$993$	39.4402	+	38.3391i	1.25160	+	1.21665i
$994$	26.3784	−	5.60691i	0.836673	−	0.177840i
$995$	−8.73291	−	0.917865i	−0.276852	−	0.0290983i
$996$	−20.4799	−	2.94717i	−0.648931	−	0.0933845i
$997$	3.20787	+	15.0918i	0.101594	+	0.477963i	0.999301	+	0.0373709i	$0.0118983\pi$
$997$	3.20787	+	15.0918i	0.101594	+	0.477963i	−0.897707	+	0.440593i	$0.854768\pi$
$998$	−2.73623	−	0.581605i	−0.0866140	−	0.0184104i
$999$	13.6188	+	0.134730i	0.430881	+	0.00426266i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bq.a.74.41	yes	416
3.2	odd	2	inner	429.2.bq.a.74.12	yes	416
11.7	odd	10	inner	429.2.bq.a.425.41	yes	416
13.3	even	3	inner	429.2.bq.a.107.12	yes	416
33.29	even	10	inner	429.2.bq.a.425.12	yes	416
39.29	odd	6	inner	429.2.bq.a.107.41	yes	416
143.29	odd	30	inner	429.2.bq.a.29.12	✓	416
429.29	even	30	inner	429.2.bq.a.29.41	yes	416

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bq.a.29.12	✓	416	143.29	odd	30	inner
429.2.bq.a.29.41	yes	416	429.29	even	30	inner
429.2.bq.a.74.12	yes	416	3.2	odd	2	inner
429.2.bq.a.74.41	yes	416	1.1	even	1	trivial
429.2.bq.a.107.12	yes	416	13.3	even	3	inner
429.2.bq.a.107.41	yes	416	39.29	odd	6	inner
429.2.bq.a.425.12	yes	416	33.29	even	10	inner
429.2.bq.a.425.41	yes	416	11.7	odd	10	inner

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:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bq (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.179632 + 1.70909i) q^{2} +(1.66652 - 0.471925i) q^{3} +(-0.932422 + 0.198192i) q^{4} +(-1.96134 + 2.69955i) q^{5} +(1.10592 + 2.76346i) q^{6} +(-0.393158 - 1.84966i) q^{7} +(0.555871 + 1.71080i) q^{8} +(2.55457 - 1.57294i) q^{9} +O(q^{10})\)	\(q+(0.179632 + 1.70909i) q^{2} +(1.66652 - 0.471925i) q^{3} +(-0.932422 + 0.198192i) q^{4} +(-1.96134 + 2.69955i) q^{5} +(1.10592 + 2.76346i) q^{6} +(-0.393158 - 1.84966i) q^{7} +(0.555871 + 1.71080i) q^{8} +(2.55457 - 1.57294i) q^{9} +(-4.96609 - 2.86717i) q^{10} +(2.27214 + 2.41607i) q^{11} +(-1.46037 + 0.770325i) q^{12} +(-0.125170 + 3.60338i) q^{13} +(3.09061 - 1.00420i) q^{14} +(-1.99462 + 5.42445i) q^{15} +(-4.56573 + 2.03279i) q^{16} +(0.258678 - 2.46116i) q^{17} +(3.14719 + 4.08344i) q^{18} +(0.422358 + 0.380293i) q^{19} +(1.29376 - 2.90584i) q^{20} +(-1.52811 - 2.89696i) q^{21} +(-3.72113 + 4.31729i) q^{22} +(-5.92755 - 3.42227i) q^{23} +(1.73374 + 2.58875i) q^{24} +(-1.89563 - 5.83416i) q^{25} +(-6.18098 + 0.433357i) q^{26} +(3.51493 - 3.82691i) q^{27} +(0.733178 + 1.64674i) q^{28} +(3.14310 + 3.49077i) q^{29} +(-9.62917 - 2.43458i) q^{30} +(1.27653 - 0.927452i) q^{31} +(-2.49554 - 4.32241i) q^{32} +(4.92676 + 2.95415i) q^{33} +4.25280 q^{34} +(5.76436 + 2.56646i) q^{35} +(-2.07020 + 1.97295i) q^{36} +(1.75384 + 1.94784i) q^{37} +(-0.574085 + 0.790160i) q^{38} +(1.49193 + 6.06417i) q^{39} +(-5.70863 - 1.85485i) q^{40} +(-1.80272 - 0.383180i) q^{41} +(4.67666 - 3.13206i) q^{42} +(6.47641 - 3.73915i) q^{43} +(-2.59744 - 1.80248i) q^{44} +(-0.764138 + 9.98126i) q^{45} +(4.78419 - 10.7455i) q^{46} +(4.97659 - 1.61699i) q^{47} +(-6.64955 + 5.54237i) q^{48} +(3.12814 - 1.39274i) q^{49} +(9.63057 - 4.28781i) q^{50} +(-0.730390 - 4.22364i) q^{51} +(-0.597451 - 3.38468i) q^{52} +(-5.12643 - 7.05593i) q^{53} +(7.17193 + 5.31990i) q^{54} +(-10.9787 + 1.39501i) q^{55} +(2.94585 - 1.70079i) q^{56} +(0.883337 + 0.434444i) q^{57} +(-5.40143 + 5.99890i) q^{58} +(-2.02502 - 9.52697i) q^{59} +(0.784743 - 5.45320i) q^{60} +(3.13552 + 0.329557i) q^{61} +(1.81440 + 2.01510i) q^{62} +(-3.91377 - 4.10668i) q^{63} +(-1.14754 + 0.833735i) q^{64} +(-9.48199 - 7.40534i) q^{65} +(-4.16390 + 8.95094i) q^{66} +(4.89627 - 8.48060i) q^{67} +(0.246586 + 2.34611i) q^{68} +(-11.4934 - 2.90592i) q^{69} +(-3.35084 + 10.3128i) q^{70} +(8.25316 + 0.867442i) q^{71} +(4.11100 + 3.49600i) q^{72} +(-14.8405 - 4.82198i) q^{73} +(-3.01398 + 3.34736i) q^{74} +(-5.91239 - 8.82814i) q^{75} +(-0.469187 - 0.270885i) q^{76} +(3.57560 - 5.15258i) q^{77} +(-10.0962 + 3.63916i) q^{78} +(5.01074 + 6.89669i) q^{79} +(3.46731 - 16.3124i) q^{80} +(4.05169 - 8.03640i) q^{81} +(0.331062 - 3.14984i) q^{82} +(10.1384 + 7.36596i) q^{83} +(1.99900 + 2.39833i) q^{84} +(6.13666 + 5.52547i) q^{85} +(7.55392 + 10.3971i) q^{86} +(6.88543 + 4.33413i) q^{87} +(-2.87039 + 5.23019i) q^{88} +(-12.6837 - 7.32291i) q^{89} +(-17.1961 + 0.486979i) q^{90} +(6.71424 - 1.18517i) q^{91} +(6.20525 + 2.01621i) q^{92} +(1.68967 - 2.14804i) q^{93} +(3.65754 + 8.21497i) q^{94} +(-1.85500 + 0.394293i) q^{95} +(-6.19872 - 6.02566i) q^{96} +(-2.04180 - 0.909068i) q^{97} +(2.94223 + 5.09609i) q^{98} +(9.60468 + 2.59808i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 416 q - 3 q^{3} + 42 q^{4} - 5 q^{6} - 10 q^{7} + 3 q^{9}+O(q^{10}) \) 416 * q - 3 * q^3 + 42 * q^4 - 5 * q^6 - 10 * q^7 + 3 * q^9	\( 416 q - 3 q^{3} + 42 q^{4} - 5 q^{6} - 10 q^{7} + 3 q^{9} - 52 q^{12} - 20 q^{13} - 3 q^{15} + 30 q^{16} - 20 q^{18} - 10 q^{19} + 4 q^{22} + 5 q^{24} + 60 q^{25} - 24 q^{27} - 10 q^{28} - 65 q^{30} - 8 q^{31} + 49 q^{33} - 24 q^{34} + 3 q^{36} - 6 q^{37} - 35 q^{39} - 120 q^{40} - 13 q^{42} - 32 q^{45} - 30 q^{46} - 33 q^{48} - 26 q^{49} - 100 q^{51} - 60 q^{52} - 42 q^{55} - 20 q^{57} - 34 q^{58} + 32 q^{60} - 30 q^{61} - 45 q^{63} + 40 q^{64} + 42 q^{66} + 32 q^{67} - 33 q^{69} - 268 q^{70} + 55 q^{72} - 40 q^{73} + 9 q^{75} - 32 q^{78} - 37 q^{81} + 28 q^{82} - 180 q^{84} - 10 q^{85} - 142 q^{88} - 30 q^{90} + 8 q^{91} - 26 q^{93} - 90 q^{94} + 330 q^{96} - 14 q^{97} - 4 q^{99}+O(q^{100}) \) 416 * q - 3 * q^3 + 42 * q^4 - 5 * q^6 - 10 * q^7 + 3 * q^9 - 52 * q^12 - 20 * q^13 - 3 * q^15 + 30 * q^16 - 20 * q^18 - 10 * q^19 + 4 * q^22 + 5 * q^24 + 60 * q^25 - 24 * q^27 - 10 * q^28 - 65 * q^30 - 8 * q^31 + 49 * q^33 - 24 * q^34 + 3 * q^36 - 6 * q^37 - 35 * q^39 - 120 * q^40 - 13 * q^42 - 32 * q^45 - 30 * q^46 - 33 * q^48 - 26 * q^49 - 100 * q^51 - 60 * q^52 - 42 * q^55 - 20 * q^57 - 34 * q^58 + 32 * q^60 - 30 * q^61 - 45 * q^63 + 40 * q^64 + 42 * q^66 + 32 * q^67 - 33 * q^69 - 268 * q^70 + 55 * q^72 - 40 * q^73 + 9 * q^75 - 32 * q^78 - 37 * q^81 + 28 * q^82 - 180 * q^84 - 10 * q^85 - 142 * q^88 - 30 * q^90 + 8 * q^91 - 26 * q^93 - 90 * q^94 + 330 * q^96 - 14 * q^97 - 4 * q^99

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