LMFDB - Embedded newform 522.2.x.a.101.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [522,2,Mod(11,522)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(522, base_ring=CyclotomicField(84)) chi = DirichletCharacter(H, H._module([14, 75])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("522.11"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 522 = 2 \cdot 3^{2} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	522.x (of order $84$, degree $24$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$4.16819098551$
Analytic rank:	$0$
Dimension:	$720$
Relative dimension:	$30$ over $\Q(\zeta_{84})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label			101.4
Character	$\chi$	$=$	522.101
Dual form			522.2.x.a.491.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.399892 + 0.916562i) q^{2} +(-1.06614 + 1.36504i) q^{3} +(-0.680173 - 0.733052i) q^{4} +(3.63381 + 0.547709i) q^{5} +(-0.824803 - 1.52306i) q^{6} +(-2.85705 - 2.65095i) q^{7} +(0.943883 - 0.330279i) q^{8} +(-0.726675 - 2.91066i) q^{9} +(-1.95514 + 3.11159i) q^{10} +(3.40292 - 2.92845i) q^{11} +(1.72581 - 0.146925i) q^{12} +(3.21932 - 4.72187i) q^{13} +(3.57228 - 1.55857i) q^{14} +(-4.62181 + 4.37636i) q^{15} +(-0.0747301 + 0.997204i) q^{16} +(-1.68490 - 1.68490i) q^{17} +(2.95839 + 0.497907i) q^{18} +(-6.09533 - 3.82995i) q^{19} +(-2.07012 - 3.03631i) q^{20} +(6.66469 - 1.07369i) q^{21} +(1.32331 + 4.29006i) q^{22} +(-0.680050 - 0.266900i) q^{23} +(-0.555471 + 1.64056i) q^{24} +(8.12672 + 2.50676i) q^{25} +(3.04051 + 4.83894i) q^{26} +(4.74791 + 2.11124i) q^{27} +3.89747i q^{28} +(-4.46028 - 3.01760i) q^{29} +(-2.16299 - 5.98625i) q^{30} +(2.48466 - 1.83376i) q^{31} +(-0.884115 - 0.467269i) q^{32} +(0.369453 + 7.76728i) q^{33} +(2.21809 - 0.870536i) q^{34} +(-8.93002 - 11.1979i) q^{35} +(-1.63940 + 2.51244i) q^{36} +(2.87247 + 8.20906i) q^{37} +(5.94786 - 4.05518i) q^{38} +(3.01330 + 9.42870i) q^{39} +(3.61079 - 0.683198i) q^{40} +(2.45065 + 0.656650i) q^{41} +(-1.68105 + 6.53796i) q^{42} +(-5.89832 + 7.99194i) q^{43} +(-4.46128 - 0.502666i) q^{44} +(-1.04641 - 10.9748i) q^{45} +(0.516577 - 0.516577i) q^{46} +(4.68405 + 5.44296i) q^{47} +(-1.28155 - 1.16517i) q^{48} +(0.612061 + 8.16738i) q^{49} +(-5.54741 + 6.44621i) q^{50} +(4.09630 - 0.503612i) q^{51} +(-5.65107 + 0.851762i) q^{52} +(-4.18686 - 3.33891i) q^{53} +(-3.83373 + 3.50749i) q^{54} +(13.9695 - 8.77763i) q^{55} +(-3.57228 - 1.55857i) q^{56} +(11.7265 - 4.23710i) q^{57} +(4.54945 - 2.88141i) q^{58} +(-0.267219 + 0.154279i) q^{59} +(6.35173 + 0.411341i) q^{60} +(10.4907 - 0.392534i) q^{61} +(0.687162 + 3.01065i) q^{62} +(-5.63988 + 10.2423i) q^{63} +(0.781831 - 0.623490i) q^{64} +(14.2846 - 15.3951i) q^{65} +(-7.26694 - 2.76745i) q^{66} +(1.39512 - 0.104550i) q^{67} +(-0.0890959 + 2.38114i) q^{68} +(1.08936 - 0.643742i) q^{69} +(13.8346 - 3.70697i) q^{70} +(2.69978 - 1.30014i) q^{71} +(-1.64723 - 2.50732i) q^{72} +(-0.204039 + 1.81089i) q^{73} +(-8.67279 - 0.649936i) q^{74} +(-12.0861 + 8.42074i) q^{75} +(1.33832 + 7.07322i) q^{76} +(-17.4855 - 0.654262i) q^{77} +(-9.84698 - 1.00859i) q^{78} +(-0.0561874 + 0.296958i) q^{79} +(-0.817732 + 3.58272i) q^{80} +(-7.94389 + 4.23021i) q^{81} +(-1.58186 + 1.98359i) q^{82} +(-1.26916 + 4.11453i) q^{83} +(-5.32021 - 4.15526i) q^{84} +(-5.19976 - 7.04542i) q^{85} +(-4.96642 - 8.60210i) q^{86} +(8.87445 - 2.87127i) q^{87} +(2.24476 - 3.88803i) q^{88} +(-2.17220 + 0.244748i) q^{89} +(10.4775 + 3.42963i) q^{90} +(-21.7152 + 4.95636i) q^{91} +(0.266900 + 0.680050i) q^{92} +(-0.145843 + 5.34672i) q^{93} +(-6.86193 + 2.11662i) q^{94} +(-20.0516 - 17.2558i) q^{95} +(1.58043 - 0.708679i) q^{96} +(-1.66353 - 3.14755i) q^{97} +(-7.73068 - 2.70508i) q^{98} +(-10.9966 - 7.77672i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 720 q + 24 q^{11} - 12 q^{14} - 20 q^{15} - 60 q^{16} + 84 q^{21} + 20 q^{24} + 60 q^{25} - 144 q^{27} - 12 q^{29} + 72 q^{30} + 84 q^{33} - 40 q^{36} + 40 q^{39} - 12 q^{41} - 104 q^{45} + 24 q^{46} - 24 q^{47}+ \cdots - 84 q^{99}+O(q^{100}) $ 720 * q + 24 * q^11 - 12 * q^14 - 20 * q^15 - 60 * q^16 + 84 * q^21 + 20 * q^24 + 60 * q^25 - 144 * q^27 - 12 * q^29 + 72 * q^30 + 84 * q^33 - 40 * q^36 + 40 * q^39 - 12 * q^41 - 104 * q^45 + 24 * q^46 - 24 * q^47 + 60 * q^49 + 16 * q^54 - 144 * q^55 + 12 * q^56 + 12 * q^58 + 120 * q^59 - 16 * q^60 - 12 * q^61 + 36 * q^65 - 48 * q^66 - 36 * q^68 + 52 * q^69 - 180 * q^74 - 184 * q^75 - 132 * q^77 - 68 * q^78 + 12 * q^79 - 216 * q^81 + 96 * q^82 - 432 * q^83 - 80 * q^84 - 48 * q^85 - 200 * q^87 - 112 * q^90 - 252 * q^92 - 112 * q^93 + 192 * q^95 + 24 * q^97 - 84 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/522\mathbb{Z}\right)^\times$.

$n$	$379$	$407$
$\chi(n)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.399892	+	0.916562i	−0.282766	+	0.648107i
$2$	−0.399892	+	0.916562i	−0.282766	+	0.648107i
$3$	−1.06614	+	1.36504i	−0.615538	+	0.788107i
$3$	−1.06614	+	1.36504i	−0.615538	+	0.788107i
$4$	−0.680173	−	0.733052i	−0.340086	−	0.366526i
$5$	3.63381	+	0.547709i	1.62509	+	0.244943i	0.897482	−	0.441052i	$-0.145394\pi$
$5$	3.63381	+	0.547709i	1.62509	+	0.244943i	0.727607	+	0.685994i	$0.240633\pi$
$6$	−0.824803	−	1.52306i	−0.336724	−	0.621785i
$7$	−2.85705	−	2.65095i	−1.07986	−	1.00197i	−0.999987	−	0.00516168i	$-0.998357\pi$
$7$	−2.85705	−	2.65095i	−1.07986	−	1.00197i	−0.0798763	−	0.996805i	$-0.525453\pi$
$8$	0.943883	−	0.330279i	0.333713	−	0.116771i
$9$	−0.726675	−	2.91066i	−0.242225	−	0.970220i
$10$	−1.95514	+	3.11159i	−0.618270	+	0.983970i
$11$	3.40292	−	2.92845i	1.02602	−	0.882962i	0.0328294	−	0.999461i	$-0.489548\pi$
$11$	3.40292	−	2.92845i	1.02602	−	0.882962i	0.993191	+	0.116499i	$0.0371672\pi$
$12$	1.72581	−	0.146925i	0.498198	−	0.0424137i
$13$	3.21932	−	4.72187i	0.892878	−	1.30961i	−0.0574455	−	0.998349i	$-0.518296\pi$
$13$	3.21932	−	4.72187i	0.892878	−	1.30961i	0.950324	−	0.311263i	$-0.100752\pi$
$14$	3.57228	−	1.55857i	0.954731	−	0.416545i
$15$	−4.62181	+	4.37636i	−1.19335	+	1.12997i
$16$	−0.0747301	+	0.997204i	−0.0186825	+	0.249301i
$17$	−1.68490	−	1.68490i	−0.408647	−	0.408647i	0.472619	−	0.881267i	$-0.343309\pi$
$17$	−1.68490	−	1.68490i	−0.408647	−	0.408647i	−0.881267	+	0.472619i	$0.843309\pi$
$18$	2.95839	+	0.497907i	0.697300	+	0.117358i
$19$	−6.09533	−	3.82995i	−1.39836	−	0.878650i	−0.399096	−	0.916909i	$-0.630676\pi$
$19$	−6.09533	−	3.82995i	−1.39836	−	0.878650i	−0.999268	+	0.0382592i	$0.987819\pi$
$20$	−2.07012	−	3.03631i	−0.462893	−	0.678939i
$21$	6.66469	−	1.07369i	1.45435	−	0.234299i
$22$	1.32331	+	4.29006i	0.282130	+	0.914643i
$23$	−0.680050	−	0.266900i	−0.141800	−	0.0556525i	0.293380	−	0.955996i	$-0.405220\pi$
$23$	−0.680050	−	0.266900i	−0.141800	−	0.0556525i	−0.435180	+	0.900344i	$0.643315\pi$
$24$	−0.555471	+	1.64056i	−0.113385	+	0.334879i
$25$	8.12672	+	2.50676i	1.62534	+	0.501352i
$26$	3.04051	+	4.83894i	0.596293	+	0.948995i
$27$	4.74791	+	2.11124i	0.913736	+	0.406308i
$28$			3.89747i			0.736553i
$29$	−4.46028	−	3.01760i	−0.828253	−	0.560354i
$29$	−4.46028	−	3.01760i	−0.828253	−	0.560354i
$30$	−2.16299	−	5.98625i	−0.394905	−	1.09293i
$31$	2.48466	−	1.83376i	0.446258	−	0.329353i	−0.347401	−	0.937717i	$-0.612936\pi$
$31$	2.48466	−	1.83376i	0.446258	−	0.329353i	0.793659	+	0.608363i	$0.208174\pi$
$32$	−0.884115	−	0.467269i	−0.156291	−	0.0826022i
$33$	0.369453	+	7.76728i	0.0643135	+	1.35211i
$34$	2.21809	−	0.870536i	0.380399	−	0.149296i
$35$	−8.93002	−	11.1979i	−1.50945	−	1.89279i
$36$	−1.63940	+	2.51244i	−0.273233	+	0.418740i
$37$	2.87247	+	8.20906i	0.472232	+	1.34956i	0.896106	+	0.443840i	$0.146384\pi$
$37$	2.87247	+	8.20906i	0.472232	+	1.34956i	−0.423874	+	0.905721i	$0.639330\pi$
$38$	5.94786	−	4.05518i	0.964870	−	0.657837i
$39$	3.01330	+	9.42870i	0.482513	+	1.50980i
$40$	3.61079	−	0.683198i	0.570916	−	0.108023i
$41$	2.45065	+	0.656650i	0.382727	+	0.102552i	0.445053	−	0.895504i	$-0.353185\pi$
$41$	2.45065	+	0.656650i	0.382727	+	0.102552i	−0.0623253	+	0.998056i	$0.519852\pi$
$42$	−1.68105	+	6.53796i	−0.259392	+	1.00883i
$43$	−5.89832	+	7.99194i	−0.899486	+	1.21876i	0.0756460	+	0.997135i	$0.475898\pi$
$43$	−5.89832	+	7.99194i	−0.899486	+	1.21876i	−0.975132	+	0.221625i	$0.928864\pi$
$44$	−4.46128	−	0.502666i	−0.672564	−	0.0757797i
$45$	−1.04641	−	10.9748i	−0.155989	−	1.63602i
$46$	0.516577	−	0.516577i	0.0761651	−	0.0761651i
$47$	4.68405	+	5.44296i	0.683238	+	0.793937i	0.987326	−	0.158707i	$-0.0507324\pi$
$47$	4.68405	+	5.44296i	0.683238	+	0.793937i	−0.304087	+	0.952644i	$0.598351\pi$
$48$	−1.28155	−	1.16517i	−0.184976	−	0.168178i
$49$	0.612061	+	8.16738i	0.0874373	+	1.16677i
$50$	−5.54741	+	6.44621i	−0.784523	+	0.911632i
$51$	4.09630	−	0.503612i	0.573596	−	0.0705197i
$52$	−5.65107	+	0.851762i	−0.783662	+	0.118118i
$53$	−4.18686	−	3.33891i	−0.575110	−	0.458635i	0.292232	−	0.956347i	$-0.405602\pi$
$53$	−4.18686	−	3.33891i	−0.575110	−	0.458635i	−0.867342	+	0.497712i	$0.834173\pi$
$54$	−3.83373	+	3.50749i	−0.521705	+	0.477309i
$55$	13.9695	−	8.77763i	1.88365	−	1.18358i
$56$	−3.57228	−	1.55857i	−0.477365	−	0.208272i
$57$	11.7265	−	4.23710i	1.55322	−	0.561217i
$58$	4.54945	−	2.88141i	0.597372	−	0.378348i
$59$	−0.267219	+	0.154279i	−0.0347890	+	0.0200854i	−0.517294	−	0.855808i	$-0.673060\pi$
$59$	−0.267219	+	0.154279i	−0.0347890	+	0.0200854i	0.482505	+	0.875893i	$0.339727\pi$
$60$	6.35173	+	0.411341i	0.820005	+	0.0531040i
$61$	10.4907	−	0.392534i	1.34320	−	0.0502589i	0.643910	−	0.765101i	$-0.277311\pi$
$61$	10.4907	−	0.392534i	1.34320	−	0.0502589i	0.699286	+	0.714842i	$0.253501\pi$
$62$	0.687162	+	3.01065i	0.0872696	+	0.382353i
$63$	−5.63988	+	10.2423i	−0.710558	+	1.29041i
$64$	0.781831	−	0.623490i	0.0977289	−	0.0779362i
$65$	14.2846	−	15.3951i	1.77179	−	1.90953i
$66$	−7.26694	−	2.76745i	−0.894498	−	0.340649i
$67$	1.39512	−	0.104550i	0.170441	−	0.0127728i	0.0107636	−	0.999942i	$-0.496574\pi$
$67$	1.39512	−	0.104550i	0.170441	−	0.0127728i	0.159677	+	0.987169i	$0.448955\pi$
$68$	−0.0890959	+	2.38114i	−0.0108045	+	0.288755i
$69$	1.08936	−	0.643742i	0.131144	−	0.0774975i
$70$	13.8346	−	3.70697i	1.65355	−	0.443068i
$71$	2.69978	−	1.30014i	0.320404	−	0.154299i	−0.266767	−	0.963761i	$-0.585956\pi$
$71$	2.69978	−	1.30014i	0.320404	−	0.154299i	0.587172	+	0.809462i	$0.300241\pi$
$72$	−1.64723	−	2.50732i	−0.194128	−	0.295490i
$73$	−0.204039	+	1.81089i	−0.0238809	+	0.211949i	−0.999986	−	0.00535151i	$-0.998297\pi$
$73$	−0.204039	+	1.81089i	−0.0238809	+	0.211949i	0.976105	+	0.217300i	$0.0697251\pi$
$74$	−8.67279	−	0.649936i	−1.00819	−	0.0755535i
$75$	−12.0861	+	8.42074i	−1.39558	+	0.972343i
$76$	1.33832	+	7.07322i	0.153516	+	0.811353i
$77$	−17.4855	−	0.654262i	−1.99266	−	0.0745601i
$78$	−9.84698	−	1.00859i	−1.11495	−	0.114200i
$79$	−0.0561874	+	0.296958i	−0.00632158	+	0.0334103i	−0.985585	−	0.169180i	$-0.945888\pi$
$79$	−0.0561874	+	0.296958i	−0.00632158	+	0.0334103i	0.979264	+	0.202590i	$0.0649358\pi$
$80$	−0.817732	+	3.58272i	−0.0914252	+	0.400560i
$81$	−7.94389	+	4.23021i	−0.882654	+	0.470023i
$82$	−1.58186	+	1.98359i	−0.174687	+	0.219050i
$83$	−1.26916	+	4.11453i	−0.139309	+	0.451628i	−0.998163	−	0.0605926i	$-0.980701\pi$
$83$	−1.26916	+	4.11453i	−0.139309	+	0.451628i	0.858854	+	0.512221i	$0.171177\pi$
$84$	−5.32021	−	4.15526i	−0.580482	−	0.453377i
$85$	−5.19976	−	7.04542i	−0.563993	−	0.764184i
$86$	−4.96642	−	8.60210i	−0.535543	−	0.927588i
$87$	8.87445	−	2.87127i	0.951441	−	0.307833i
$88$	2.24476	−	3.88803i	0.239292	−	0.414466i
$89$	−2.17220	+	0.244748i	−0.230253	+	0.0259432i	−0.226337	−	0.974049i	$-0.572675\pi$
$89$	−2.17220	+	0.244748i	−0.230253	+	0.0259432i	−0.00391578	+	0.999992i	$0.501246\pi$
$90$	10.4775	+	3.42963i	1.10443	+	0.361515i
$91$	−21.7152	+	4.95636i	−2.27637	+	0.519567i
$92$	0.266900	+	0.680050i	0.0278262	+	0.0709001i
$93$	−0.145843	+	5.34672i	−0.0151232	+	0.554429i
$94$	−6.86193	+	2.11662i	−0.707754	+	0.218313i
$95$	−20.0516	−	17.2558i	−2.05725	−	1.77040i
$96$	1.58043	−	0.708679i	0.161302	−	0.0723292i
$97$	−1.66353	−	3.14755i	−0.168906	−	0.319586i	0.785102	−	0.619366i	$-0.212610\pi$
$97$	−1.66353	−	3.14755i	−0.168906	−	0.319586i	−0.954008	+	0.299781i	$0.903087\pi$
$98$	−7.73068	−	2.70508i	−0.780916	−	0.273254i
$99$	−10.9966	−	7.77672i	−1.10520	−	0.781590i
$100$	−3.68999	−	7.66234i	−0.368999	−	0.766234i
$101$	5.22710	+	3.85777i	0.520116	+	0.383863i	0.822005	−	0.569480i	$-0.192855\pi$
$101$	5.22710	+	3.85777i	0.520116	+	0.383863i	−0.301889	+	0.953343i	$0.597617\pi$
$102$	−1.17648	+	3.95590i	−0.116489	+	0.391692i
$103$	−1.51070	−	1.02998i	−0.148854	−	0.101487i	0.486603	−	0.873623i	$-0.338236\pi$
$103$	−1.51070	−	1.02998i	−0.148854	−	0.101487i	−0.635457	+	0.772136i	$0.719188\pi$
$104$	1.47913	−	5.52017i	0.145040	−	0.541297i
$105$	24.8063	−	0.251285i	2.42084	−	0.0245230i
$106$	4.73462	−	2.50232i	0.459867	−	0.243047i
$107$	4.00508	−	8.31663i	0.387185	−	0.803999i	−0.612721	−	0.790299i	$-0.709925\pi$
$107$	4.00508	−	8.31663i	0.387185	−	0.803999i	0.999906	−	0.0136992i	$-0.00436074\pi$
$108$	−1.68175	−	4.91647i	−0.161827	−	0.473088i
$109$	−8.77655	−	2.00319i	−0.840641	−	0.191871i	−0.219542	−	0.975603i	$-0.570456\pi$
$109$	−8.77655	−	2.00319i	−0.840641	−	0.191871i	−0.621099	+	0.783732i	$0.713313\pi$
$110$	2.45894	+	16.3140i	0.234451	+	1.55548i
$111$	−14.2682	−	4.83099i	−1.35428	−	0.458537i
$112$	2.85705	−	2.65095i	0.269966	−	0.250492i
$113$	−2.90564	+	5.49774i	−0.273339	+	0.517184i	−0.982122	−	0.188243i	$-0.939721\pi$
$113$	−2.90564	+	5.49774i	−0.273339	+	0.517184i	0.708783	+	0.705427i	$0.249245\pi$
$114$	−0.805782	+	12.4425i	−0.0754684	+	1.16534i
$115$	−2.32499	−	1.34233i	−0.216806	−	0.125173i
$116$	0.821704	+	5.32211i	0.0762933	+	0.494145i
$117$	−16.0832	−	5.93907i	−1.48689	−	0.549067i
$118$	−0.0345476	−	0.306618i	−0.00318036	−	0.0282265i
$119$	0.347249	+	9.28042i	0.0318322	+	0.850734i
$120$	−2.91703	+	5.65726i	−0.266287	+	0.516435i
$121$	1.36459	−	9.05347i	0.124054	−	0.823042i
$122$	−3.83536	+	9.77235i	−0.347238	+	0.884747i
$123$	−3.50910	+	2.64516i	−0.316405	+	0.238506i
$124$	−3.03424	−	0.574109i	−0.272483	−	0.0515565i
$125$	11.6033	+	5.58787i	1.03783	+	0.499794i
$126$	−7.13235	−	9.26511i	−0.635400	−	0.825401i
$127$	−0.188129	+	0.537642i	−0.0166937	+	0.0477080i	−0.951929	−	0.306320i	$-0.900902\pi$
$127$	−0.188129	+	0.537642i	−0.0166937	+	0.0477080i	0.935235	+	0.354028i	$0.115188\pi$
$128$	0.258819	+	0.965926i	0.0228766	+	0.0853766i
$129$	−4.62087	−	16.5720i	−0.406845	−	1.45908i
$130$	8.39830	+	19.2491i	0.736580	+	1.68826i
$131$	−3.06507	−	7.02522i	−0.267797	−	0.613796i	0.729757	−	0.683707i	$-0.239633\pi$
$131$	−3.06507	−	7.02522i	−0.267797	−	0.613796i	−0.997553	+	0.0699108i	$0.977729\pi$
$132$	5.44253	−	5.55392i	0.473711	−	0.483407i
$133$	7.26163	+	27.1008i	0.629663	+	2.34994i
$134$	−0.462070	+	1.32052i	−0.0399168	+	0.114076i
$135$	16.0967	+	10.2723i	1.38538	+	0.884100i
$136$	−2.14683	−	1.03386i	−0.184089	−	0.0886527i
$137$	20.2687	+	3.83505i	1.73168	+	0.327651i	0.953726	−	0.300677i	$-0.0972125\pi$
$137$	20.2687	+	3.83505i	1.73168	+	0.327651i	0.777949	+	0.628327i	$0.216260\pi$
$138$	0.154404	+	1.25589i	0.0131437	+	0.106909i
$139$	3.59240	−	9.15329i	0.304703	−	0.776372i	−0.693720	−	0.720245i	$-0.744030\pi$
$139$	3.59240	−	9.15329i	0.304703	−	0.776372i	0.998424	−	0.0561271i	$-0.0178752\pi$
$140$	−2.13468	+	14.1627i	−0.180413	+	1.19696i
$141$	−12.4237	+	0.590939i	−1.04627	+	0.0497660i
$142$	0.112044	+	2.99443i	0.00940249	+	0.251287i
$143$	−2.87269	−	25.4958i	−0.240226	−	2.13207i
$144$	2.95683	−	0.507130i	0.246402	−	0.0422608i
$145$	−14.5550	−	13.4083i	−1.20873	−	1.11350i
$146$	−1.57820	−	0.911175i	−0.130613	−	0.0754094i
$147$	−11.8014	−	7.87212i	−0.973360	−	0.649281i
$148$	4.06389	−	7.68925i	0.334050	−	0.632053i
$149$	13.5601	−	12.5819i	1.11088	−	1.03075i	0.111568	−	0.993757i	$-0.464413\pi$
$149$	13.5601	−	12.5819i	1.11088	−	1.03075i	0.999316	−	0.0369923i	$-0.0117777\pi$
$150$	−2.88500	−	14.4450i	−0.235560	−	1.17943i
$151$	1.22577	+	8.13244i	0.0997516	+	0.661809i	0.981696	+	0.190455i	$0.0609963\pi$
$151$	1.22577	+	8.13244i	0.0997516	+	0.661809i	−0.881944	+	0.471354i	$0.843766\pi$
$152$	−7.01823	−	1.60186i	−0.569253	−	0.129928i
$153$	−3.67979	+	6.12853i	−0.297493	+	0.495463i
$154$	7.59199	−	15.7649i	0.611780	−	1.27037i
$155$	10.0331	−	5.30267i	0.805882	−	0.425921i
$156$	4.86216	−	8.62204i	0.389285	−	0.690316i
$157$	−5.91577	+	22.0780i	−0.472130	+	1.76201i	0.159965	+	0.987123i	$0.448862\pi$
$157$	−5.91577	+	22.0780i	−0.472130	+	1.76201i	−0.632095	+	0.774891i	$0.717805\pi$
$158$	−0.249711	−	0.170250i	−0.0198660	−	0.0135444i
$159$	9.02155	−	2.15548i	0.715456	−	0.170941i
$160$	−2.95678	−	2.18220i	−0.233754	−	0.172518i
$161$	1.23540	+	2.56533i	0.0973628	+	0.202176i
$162$	−0.700554	−	8.97269i	−0.0550408	−	0.704961i
$163$	15.5919	+	5.45585i	1.22125	+	0.427336i	0.862481	−	0.506089i	$-0.168909\pi$
$163$	15.5919	+	5.45585i	1.22125	+	0.427336i	0.358774	+	0.933425i	$0.383195\pi$
$164$	−1.18551	−	2.24309i	−0.0925726	−	0.175156i
$165$	−2.91169	+	28.4272i	−0.226674	+	2.21305i
$166$	−3.26370	−	2.80864i	−0.253312	−	0.217993i
$167$	6.66757	−	2.05667i	0.515952	−	0.159150i	−0.0258345	−	0.999666i	$-0.508224\pi$
$167$	6.66757	−	2.05667i	0.515952	−	0.159150i	0.541787	+	0.840516i	$0.317748\pi$
$168$	5.93607	−	3.21465i	0.457978	−	0.248015i
$169$	−7.18264	−	18.3011i	−0.552511	−	1.40777i
$170$	8.53691	−	1.94849i	0.654751	−	0.149443i
$171$	−6.71835	+	20.5245i	−0.513765	+	1.56955i
$172$	9.87039	−	1.11213i	0.752610	−	0.0847988i
$173$	0.784741	−	1.35921i	0.0596628	−	0.103339i	−0.834651	−	0.550779i	$-0.814331\pi$
$173$	0.784741	−	1.35921i	0.0596628	−	0.103339i	0.894314	+	0.447440i	$0.147664\pi$
$174$	−0.917121	+	9.28218i	−0.0695268	+	0.703680i
$175$	−16.5731	−	28.7055i	−1.25281	−	2.16993i
$176$	2.66596	+	3.61225i	0.200955	+	0.272284i
$177$	0.0742968	−	0.529249i	0.00558449	−	0.0397808i
$178$	0.644318	−	2.08883i	0.0482937	−	0.156564i
$179$	−4.32835	+	5.42757i	−0.323516	+	0.405676i	−0.916819	−	0.399303i	$-0.869252\pi$
$179$	−4.32835	+	5.42757i	−0.323516	+	0.405676i	0.593303	+	0.804979i	$0.297824\pi$
$180$	−7.33335	+	8.23182i	−0.546596	+	0.613564i
$181$	1.10155	−	4.82619i	0.0818773	−	0.358728i	−0.917348	−	0.398087i	$-0.869674\pi$
$181$	1.10155	−	4.82619i	0.0818773	−	0.358728i	0.999225	+	0.0393586i	$0.0125315\pi$
$182$	4.14093	−	21.8854i	0.306946	−	1.62225i
$183$	−10.6488	+	14.7387i	−0.787180	+	1.08952i
$184$	−0.730039	−	0.0273161i	−0.0538192	−	0.00201377i
$185$	5.94185	+	31.4034i	0.436853	+	2.30883i
$186$	−4.84228	−	2.27178i	−0.355053	−	0.166575i
$187$	−10.6677	−	0.799435i	−0.780101	−	0.0584605i
$188$	0.804012	−	7.13580i	0.0586386	−	0.520432i
$189$	−7.96822	−	18.6184i	−0.579602	−	1.35429i
$190$	23.8344	−	11.4781i	1.72913	−	0.832706i
$191$	17.6171	−	4.72050i	1.27473	−	0.341563i	0.442890	−	0.896576i	$-0.353953\pi$
$191$	17.6171	−	4.72050i	1.27473	−	0.341563i	0.831842	+	0.555013i	$0.187287\pi$
$192$	0.0175446	+	1.73196i	0.00126617	+	0.124994i
$193$	−0.811317	+	21.6829i	−0.0583999	+	1.56077i	0.594981	+	0.803740i	$0.297160\pi$
$193$	−0.811317	+	21.6829i	−0.0583999	+	1.56077i	−0.653381	+	0.757030i	$0.726650\pi$
$194$	3.55016	−	0.266048i	0.254887	−	0.0191011i
$195$	5.78556	+	35.9125i	0.414313	+	2.57175i
$196$	5.57081	−	6.00390i	0.397915	−	0.428850i
$197$	4.18810	−	3.33990i	0.298390	−	0.237958i	−0.462838	−	0.886443i	$-0.653169\pi$
$197$	4.18810	−	3.33990i	0.298390	−	0.237958i	0.761227	+	0.648485i	$0.224597\pi$
$198$	11.5253	−	6.96918i	0.819066	−	0.495278i
$199$	3.82502	+	16.7585i	0.271148	+	1.18798i	0.908660	+	0.417537i	$0.137107\pi$
$199$	3.82502	+	16.7585i	0.271148	+	1.18798i	−0.637511	+	0.770441i	$0.720036\pi$
$200$	8.49860	−	0.317995i	0.600942	−	0.0224857i
$201$	−1.34468	+	2.01586i	−0.0948465	+	0.142188i
$202$	−5.62617	+	3.24827i	−0.395856	+	0.228547i
$203$	4.74372	+	20.4454i	0.332944	+	1.43499i
$204$	−3.15536	−	2.66025i	−0.220920	−	0.186255i
$205$	8.54555	+	3.72838i	0.596847	+	0.260402i
$206$	1.54816	−	0.972771i	0.107865	−	0.0677762i
$207$	−0.282679	+	2.17334i	−0.0196476	+	0.151058i
$208$	4.46809	+	3.56318i	0.309806	+	0.247062i
$209$	−31.9577	+	4.81686i	−2.21056	+	0.333189i
$210$	−9.68951	+	22.8370i	−0.668640	+	1.57590i
$211$	16.7046	−	19.4111i	1.14999	−	1.33632i	0.217108	−	0.976148i	$-0.430338\pi$
$211$	16.7046	−	19.4111i	1.14999	−	1.33632i	0.932887	−	0.360170i	$-0.117281\pi$
$212$	0.400195	+	5.34023i	0.0274855	+	0.366768i
$213$	−1.10360	+	5.07144i	−0.0756174	+	0.347490i
$214$	6.02111	+	6.99665i	0.411594	+	0.478281i
$215$	−25.8106	+	25.8106i	−1.76027	+	1.76027i
$216$	5.17877	+	0.424628i	0.352371	+	0.0288923i
$217$	−11.9600	−	1.34757i	−0.811899	−	0.0914790i
$218$	5.34572	−	7.24319i	0.362058	−	0.490571i
$219$	−2.25441	−	2.20919i	−0.152339	−	0.149283i
$220$	−15.9361	−	4.27008i	−1.07441	−	0.287888i
$221$	−13.3801	+	2.53165i	−0.900042	+	0.170297i
$222$	10.1336	−	11.1458i	0.680125	−	0.748057i
$223$	8.91823	−	6.08035i	0.597209	−	0.407170i	−0.226641	−	0.973978i	$-0.572774\pi$
$223$	8.91823	−	6.08035i	0.597209	−	0.407170i	0.823850	+	0.566808i	$0.191822\pi$
$224$	1.28725	+	3.67876i	0.0860082	+	0.245797i
$225$	1.39084	−	25.4757i	0.0927228	−	1.69838i
$226$	−3.87708	−	4.86170i	−0.257899	−	0.323395i
$227$	−8.53231	+	3.34869i	−0.566310	+	0.222260i	−0.631184	−	0.775633i	$-0.717431\pi$
$227$	−8.53231	+	3.34869i	−0.566310	+	0.222260i	0.0648742	+	0.997893i	$0.479335\pi$
$228$	−11.0821	−	5.71420i	−0.733928	−	0.378432i
$229$	8.37658	+	4.42715i	0.553540	+	0.292554i	0.720552	−	0.693400i	$-0.243888\pi$
$229$	8.37658	+	4.42715i	0.553540	+	0.292554i	−0.167013	+	0.985955i	$0.553412\pi$
$230$	2.16007	−	1.59421i	0.142431	−	0.105119i
$231$	19.5352	−	23.1709i	1.28532	−	1.52453i
$232$	−5.20663	−	1.37512i	−0.341832	−	0.0902814i
$233$		−	5.10553i		−	0.334474i	−0.985917	−	0.167237i	$-0.946515\pi$
$233$		−	5.10553i		−	0.334474i	0.985917	−	0.167237i	$-0.0534845\pi$
$234$	11.8751	−	12.3662i	0.776297	−	0.808406i
$235$	14.0398	+	22.3442i	0.915854	+	1.45757i
$236$	0.294850	+	0.0909492i	0.0191931	+	0.00592029i
$237$	−0.345456	−	0.393298i	−0.0224397	−	0.0255474i
$238$	−8.64494	−	3.39289i	−0.560368	−	0.219928i
$239$	6.33663	+	20.5428i	0.409882	+	1.32881i	0.891737	+	0.452555i	$0.149487\pi$
$239$	6.33663	+	20.5428i	0.409882	+	1.32881i	−0.481854	+	0.876251i	$0.660037\pi$
$240$	−4.01874	−	4.93593i	−0.259408	−	0.318613i
$241$	−7.54500	−	11.0665i	−0.486016	−	0.712855i	0.502398	−	0.864637i	$-0.332451\pi$
$241$	−7.54500	−	11.0665i	−0.486016	−	0.712855i	−0.988414	+	0.151782i	$0.951499\pi$
$242$	7.75238	+	4.87114i	0.498342	+	0.313129i
$243$	2.69491	−	15.3537i	0.172879	−	0.984943i
$244$	−7.42324	−	7.42324i	−0.475224	−	0.475224i
$245$	−2.24923	+	30.0139i	−0.143698	+	1.91752i
$246$	−1.02119	−	4.27409i	−0.0651087	−	0.272506i
$247$	−37.7073	+	16.4515i	−2.39926	+	1.04679i
$248$	1.73958	−	2.55149i	0.110463	−	0.162020i
$249$	−4.26339	−	6.11914i	−0.270182	−	0.387785i
$250$	−9.76170	+	8.40062i	−0.617384	+	0.531302i
$251$	13.7943	−	21.9535i	0.870689	−	1.38569i	−0.0513849	−	0.998679i	$-0.516364\pi$
$251$	13.7943	−	21.9535i	0.870689	−	1.38569i	0.922074	−	0.387014i	$-0.126494\pi$
$252$	11.3442	−	2.83220i	0.714618	−	0.178412i
$253$	−3.09576	+	1.08325i	−0.194629	+	0.0681036i
$254$	−0.417551	−	0.387431i	−0.0261995	−	0.0243096i
$255$	15.1610	+	0.413548i	0.949418	+	0.0258974i
$256$	−0.988831	−	0.149042i	−0.0618019	−	0.00931514i
$257$	14.3028	+	15.4148i	0.892184	+	0.961546i	0.999466	−	0.0326825i	$-0.0104050\pi$
$257$	14.3028	+	15.4148i	0.892184	+	0.961546i	−0.107281	+	0.994229i	$0.534215\pi$
$258$	17.0371	+	2.39170i	1.06069	+	0.148901i
$259$	13.5550	−	31.0685i	0.842269	−	1.93050i
$260$	−21.0014			−1.30245
$261$	−5.54203	+	15.1752i	−0.343043	+	0.939320i
$262$	7.66475			0.473530
$263$	−2.30522	+	5.28363i	−0.142146	+	0.325802i	−0.973043	−	0.230624i	$-0.925923\pi$
$263$	−2.30522	+	5.28363i	−0.142146	+	0.325802i	0.830897	+	0.556427i	$0.187828\pi$
$264$	2.91409	+	7.20939i	0.179350	+	0.443707i
$265$	−13.3855	−	14.4262i	−0.822266	−	0.886192i
$266$	−27.7434	−	4.18165i	−1.70106	−	0.256393i
$267$	1.98178	−	3.22608i	0.121283	−	0.197433i
$268$	−1.02556	−	0.951581i	−0.0626461	−	0.0581271i
$269$	−20.0235	+	7.00651i	−1.22085	+	0.427195i	−0.862340	−	0.506330i	$-0.831002\pi$
$269$	−20.0235	+	7.00651i	−1.22085	+	0.427195i	−0.358512	+	0.933525i	$0.616716\pi$
$270$	−15.8521	+	10.6458i	−0.964731	+	0.647881i
$271$	2.96417	−	4.71745i	0.180060	−	0.286564i	−0.744483	−	0.667642i	$-0.767304\pi$
$271$	2.96417	−	4.71745i	0.180060	−	0.286564i	0.924543	+	0.381077i	$0.124447\pi$
$272$	1.80610	−	1.55427i	0.109511	−	0.0942416i
$273$	16.3859	−	34.9264i	0.991720	−	2.11384i
$274$	−11.6204	+	17.0440i	−0.702012	+	1.02966i
$275$	34.9955	−	15.2684i	2.11031	−	0.920719i
$276$	−1.21285	−	0.360701i	−0.0730050	−	0.0217117i
$277$	−0.893682	+	11.9254i	−0.0536961	+	0.716525i	0.903777	+	0.428003i	$0.140783\pi$
$277$	−0.893682	+	11.9254i	−0.0536961	+	0.716525i	−0.957473	+	0.288522i	$0.906836\pi$
$278$	6.95298	+	6.95298i	0.417012	+	0.417012i
$279$	−7.14300	−	5.89945i	−0.427640	−	0.353191i
$280$	−12.1273	−	7.62010i	−0.724746	−	0.455388i
$281$	−8.11366	−	11.9006i	−0.484021	−	0.709928i	0.504094	−	0.863649i	$-0.331827\pi$
$281$	−8.11366	−	11.9006i	−0.484021	−	0.709928i	−0.988114	+	0.153721i	$0.950874\pi$
$282$	4.42652	−	11.6234i	0.263595	−	0.692166i
$283$	9.52114	+	30.8668i	0.565973	+	1.83484i	0.550307	+	0.834962i	$0.314511\pi$
$283$	9.52114	+	30.8668i	0.565973	+	1.83484i	0.0156659	+	0.999877i	$0.495013\pi$
$284$	−2.78939	−	1.09475i	−0.165520	−	0.0649617i
$285$	44.9327	−	8.97408i	2.66158	−	0.531579i
$286$	24.5172	+	7.56257i	1.44974	+	0.447184i
$287$	−5.26088	−	8.37265i	−0.310540	−	0.494222i
$288$	−0.717595	+	2.91291i	−0.0422847	+	0.171645i
$289$		−	11.3222i		−	0.666015i
$290$	18.1100	−	7.97872i	1.06346	−	0.468527i
$291$	6.07010	+	1.08496i	0.355836	+	0.0636013i
$292$	1.46626	−	1.08215i	0.0858063	−	0.0633280i
$293$	3.90777	+	2.06532i	0.228295	+	0.120657i	0.577505	−	0.816387i	$-0.304026\pi$
$293$	3.90777	+	2.06532i	0.228295	+	0.120657i	−0.349211	+	0.937044i	$0.613550\pi$
$294$	11.9346	−	7.66869i	0.696037	−	0.447247i
$295$	−1.05552	+	0.414263i	−0.0614550	+	0.0241193i
$296$	5.42256	+	6.79968i	0.315180	+	0.395223i
$297$	22.3394	−	6.71965i	1.29627	−	0.389913i
$298$	6.10953	+	17.4600i	0.353916	+	1.01143i
$299$	−3.44956	+	2.35187i	−0.199493	+	0.136012i
$300$	14.3935	+	3.13217i	0.831007	+	0.180836i
$301$	38.0381	−	7.19719i	2.19248	−	0.414839i
$302$	−7.94406	−	2.12861i	−0.457129	−	0.122487i
$303$	−10.8389	+	3.02226i	−0.622676	+	0.173625i
$304$	4.27474	−	5.79207i	0.245173	−	0.332198i
$305$	38.3362	+	4.31945i	2.19512	+	0.247331i
$306$	−4.14567	−	5.82351i	−0.236992	−	0.332908i
$307$	−20.5032	+	20.5032i	−1.17018	+	1.17018i	−0.188011	+	0.982167i	$0.560204\pi$
$307$	−20.5032	+	20.5032i	−1.17018	+	1.17018i	−0.982167	+	0.188011i	$0.939796\pi$
$308$	11.4136	+	13.2628i	0.650348	+	0.755718i
$309$	3.01659	−	0.964064i	0.171608	−	0.0548437i
$310$	0.848054	+	11.3165i	0.0481662	+	0.642734i
$311$	−0.0559052	+	0.0649630i	−0.00317009	+	0.00368372i	−0.759555	−	0.650444i	$-0.774583\pi$
$311$	−0.0559052	+	0.0649630i	−0.00317009	+	0.00368372i	0.756384	+	0.654127i	$0.226964\pi$
$312$	5.95830	+	7.90436i	0.337322	+	0.447496i
$313$	2.91066	−	0.438711i	0.164520	−	0.0247974i	−0.0662656	−	0.997802i	$-0.521108\pi$
$313$	2.91066	−	0.438711i	0.164520	−	0.0247974i	0.230786	+	0.973005i	$0.425870\pi$
$314$	−17.8702	−	14.2510i	−1.00847	−	0.804229i
$315$	−26.1040	+	34.1295i	−1.47080	+	1.92298i
$316$	0.255902	−	0.160794i	0.0143956	−	0.00904538i
$317$	−10.6617	−	4.65167i	−0.598823	−	0.261264i	0.0785420	−	0.996911i	$-0.474974\pi$
$317$	−10.6617	−	4.65167i	−0.598823	−	0.261264i	−0.677365	+	0.735647i	$0.736878\pi$
$318$	−1.63201	+	9.13078i	−0.0915188	+	0.512028i
$319$	−24.0149	+	2.79306i	−1.34458	+	0.156381i
$320$	3.18252	−	1.83743i	0.177908	−	0.102715i
$321$	7.08255	+	14.3338i	0.395310	+	0.800035i
$322$	−2.84531	+	0.106464i	−0.158563	+	0.00593300i
$323$	3.81693	+	16.7231i	0.212380	+	0.930496i
$324$	8.50418	+	2.94601i	0.472454	+	0.163667i
$325$	37.9991	−	30.3033i	2.10781	−	1.68092i
$326$	−11.2357	+	12.1092i	−0.622289	+	0.670668i
$327$	12.0915	−	9.84466i	0.668661	−	0.544411i
$328$	2.53001	−	0.189598i	0.139696	−	0.0104688i
$329$	1.04649	−	27.9680i	0.0576948	−	1.54193i
$330$	−24.8909	−	14.0365i	−1.37020	−	0.772686i
$331$	−15.3339	+	4.10871i	−0.842829	+	0.225835i	−0.654303	−	0.756233i	$-0.727038\pi$
$331$	−15.3339	+	4.10871i	−0.842829	+	0.225835i	−0.188526	+	0.982068i	$0.560371\pi$
$332$	3.87942	−	1.86823i	0.212911	−	0.102532i
$333$	21.8064	−	14.3261i	1.19498	−	0.785066i
$334$	−0.781239	+	6.93369i	−0.0427475	+	0.379395i
$335$	5.12685	+	0.384204i	0.280110	+	0.0209913i
$336$	0.572637	+	6.72629i	0.0312399	+	0.366949i
$337$	−5.12822	−	27.1033i	−0.279352	−	1.47641i	−0.788128	−	0.615511i	$-0.788950\pi$
$337$	−5.12822	−	27.1033i	−0.279352	−	1.47641i	0.508776	−	0.860899i	$-0.330098\pi$
$338$	19.6463	+	0.735114i	1.06862	+	0.0399849i
$339$	−4.40681	−	9.82769i	−0.239345	−	0.533767i
$340$	−1.62793	+	8.60380i	−0.0882867	+	0.466607i
$341$	3.08502	−	13.5164i	0.167063	−	0.731952i
$342$	−16.1254	−	14.3654i	−0.871962	−	0.776791i
$343$	2.89244	−	3.62700i	0.156177	−	0.195840i
$344$	−2.92776	+	9.49156i	−0.157854	+	0.511750i
$345$	4.31111	−	1.74258i	0.232102	−	0.0938176i
$346$	0.931990	+	1.26280i	0.0501041	+	0.0678887i
$347$	0.358676	+	0.621245i	0.0192547	+	0.0333502i	0.875492	−	0.483232i	$-0.160537\pi$
$347$	0.358676	+	0.621245i	0.0192547	+	0.0333502i	−0.856237	+	0.516582i	$0.827204\pi$
$348$	−8.14095	−	4.55247i	−0.436401	−	0.244038i
$349$	−16.5705	+	28.7010i	−0.887000	+	1.53633i	−0.0435958	+	0.999049i	$0.513881\pi$
$349$	−16.5705	+	28.7010i	−0.887000	+	1.53633i	−0.843404	+	0.537280i	$0.819452\pi$
$350$	32.9378	−	3.71120i	1.76060	−	0.198372i
$351$	25.2540	−	15.6223i	1.34796	−	0.833856i
$352$	−4.37695	+	0.999011i	−0.233292	+	0.0532474i
$353$	−12.6296	−	32.1797i	−0.672206	−	1.71275i	−0.700994	−	0.713167i	$-0.747260\pi$
$353$	−12.6296	−	32.1797i	−0.672206	−	1.71275i	0.0287879	−	0.999586i	$-0.490835\pi$
$354$	0.455379	+	0.279740i	0.0242031	+	0.0148680i
$355$	10.5226	−	3.24578i	0.558480	−	0.172268i
$356$	1.65688	+	1.42586i	0.0878146	+	0.0755706i
$357$	−13.0384	−	9.42025i	−0.690064	−	0.498572i
$358$	−3.24384	−	6.13764i	−0.171442	−	0.324384i
$359$	−12.1074	−	4.23658i	−0.639007	−	0.223598i	−0.00872166	−	0.999962i	$-0.502776\pi$
$359$	−12.1074	−	4.23658i	−0.639007	−	0.223598i	−0.630285	+	0.776364i	$0.717062\pi$
$360$	−4.61243	−	10.0133i	−0.243096	−	0.527748i
$361$	14.2407	+	29.5711i	0.749511	+	1.55638i
$362$	3.98301	+	2.93959i	0.209342	+	0.154502i
$363$	10.9035	+	11.5150i	0.572286	+	0.604382i
$364$	18.4034	+	12.5472i	0.964598	+	0.657652i
$365$	−1.73328	+	6.46868i	−0.0907239	+	0.338586i
$366$	−9.25061	−	15.6542i	−0.483537	−	0.818256i
$367$	−24.5219	+	12.9602i	−1.28003	+	0.676518i	−0.962385	−	0.271690i	$-0.912417\pi$
$367$	−24.5219	+	12.9602i	−1.28003	+	0.676518i	−0.317650	+	0.948208i	$0.602894\pi$
$368$	0.316974	−	0.658203i	0.0165234	−	0.0343112i
$369$	0.130457	−	7.61018i	0.00679133	−	0.396170i
$370$	−31.1593	−	7.11191i	−1.61989	−	0.369730i
$371$	3.11077	+	20.6386i	0.161503	+	1.07150i
$372$	4.01862	−	3.52978i	0.208356	−	0.183011i
$373$	4.36578	−	4.05085i	0.226051	−	0.209745i	−0.559014	−	0.829159i	$-0.688820\pi$
$373$	4.36578	−	4.05085i	0.226051	−	0.209745i	0.785065	+	0.619414i	$0.212630\pi$
$374$	4.99867	−	9.45794i	0.258475	−	0.489058i
$375$	−19.9985	+	9.88155i	−1.03272	+	0.510281i
$376$	6.21889	+	3.59048i	0.320715	+	0.185165i
$377$	−28.6078	+	11.3463i	−1.47338	+	0.584362i
$378$	20.2514	+	0.141989i	1.04162	+	0.00730310i
$379$	−0.363092	−	3.22253i	−0.0186508	−	0.165530i	0.980934	−	0.194340i	$-0.0622567\pi$
$379$	−0.363092	−	3.22253i	−0.0186508	−	0.165530i	−0.999585	+	0.0288104i	$0.990828\pi$
$380$	0.989155	+	26.4357i	0.0507426	+	1.35612i
$381$	−0.533331	−	0.830007i	−0.0273234	−	0.0425226i
$382$	−2.71832	+	18.0349i	−0.139081	+	0.922745i
$383$	−0.532032	+	1.35559i	−0.0271855	+	0.0692676i	−0.943822	−	0.330454i	$-0.892798\pi$
$383$	−0.532032	+	1.35559i	−0.0271855	+	0.0692676i	0.916636	+	0.399722i	$0.130893\pi$
$384$	−1.59447	−	0.676517i	−0.0813673	−	0.0345234i
$385$	−63.1807	−	11.9544i	−3.21999	−	0.609254i
$386$	−19.5493	−	9.41444i	−0.995033	−	0.479182i
$387$	27.5480	+	11.3605i	1.40034	+	0.577485i
$388$	−1.17583	+	3.36033i	−0.0596938	+	0.170595i
$389$	−4.23647	−	15.8107i	−0.214797	−	0.801635i	−0.986238	−	0.165333i	$-0.947130\pi$
$389$	−4.23647	−	15.8107i	−0.214797	−	0.801635i	0.771440	−	0.636302i	$-0.219537\pi$
$390$	−35.2296	−	9.05829i	−1.78392	−	0.458684i
$391$	0.696115	+	1.59551i	0.0352040	+	0.0806885i
$392$	3.27523	+	7.50691i	0.165424	+	0.379156i
$393$	12.8575	+	3.30594i	0.648576	+	0.166763i
$394$	1.38644	+	5.17425i	0.0698476	+	0.260675i
$395$	−0.366821	+	1.04831i	−0.0184567	+	0.0527463i
$396$	1.77882	+	13.3506i	0.0893888	+	0.670891i
$397$	−7.94250	−	3.82491i	−0.398623	−	0.191967i	0.223822	−	0.974630i	$-0.428146\pi$
$397$	−7.94250	−	3.82491i	−0.398623	−	0.191967i	−0.622445	+	0.782663i	$0.713861\pi$
$398$	−16.8898	−	3.19572i	−0.846609	−	0.160187i
$399$	−44.7356	−	18.9809i	−2.23958	−	0.950233i
$400$	−3.10706	+	7.91666i	−0.155353	+	0.395833i
$401$	−1.50869	+	10.0095i	−0.0753403	+	0.499850i	0.919055	+	0.394128i	$0.128953\pi$
$401$	−1.50869	+	10.0095i	−0.0753403	+	0.499850i	−0.994396	+	0.105722i	$0.966285\pi$
$402$	−1.30993	−	2.03861i	−0.0653335	−	0.101677i
$403$	−0.659882	−	17.6357i	−0.0328710	−	0.878497i
$404$	−0.727381	−	6.45569i	−0.0361886	−	0.321182i
$405$	−31.1835	+	11.0208i	−1.54952	+	0.547630i
$406$	−20.6365	−	3.82805i	−1.02417	−	0.189983i
$407$	33.8147	+	19.5229i	1.67613	+	0.967714i
$408$	3.70009	−	1.82827i	0.183182	−	0.0905129i
$409$	−11.6395	+	22.0229i	−0.575534	+	1.08896i	0.408796	+	0.912626i	$0.365949\pi$
$409$	−11.6395	+	22.0229i	−0.575534	+	1.08896i	−0.984330	+	0.176338i	$0.943575\pi$
$410$	−6.83459	+	6.34157i	−0.337536	+	0.313188i
$411$	−26.8444	+	23.5789i	−1.32414	+	1.16306i
$412$	0.272510	+	1.80798i	0.0134256	+	0.0890730i
$413$	1.17245	+	0.267603i	0.0576923	+	0.0131679i
$414$	−1.87896	−	1.12820i	−0.0923460	−	0.0554478i
$415$	−6.86547	+	14.2563i	−0.337013	+	0.699814i
$416$	−5.05263	+	2.67039i	−0.247726	+	0.130927i
$417$	8.66460	+	14.6625i	0.424307	+	0.718025i
$418$	8.36470	−	31.2175i	0.409131	−	1.52690i
$419$	29.4062	+	20.0488i	1.43659	+	0.979449i	0.996681	+	0.0814062i	$0.0259411\pi$
$419$	29.4062	+	20.0488i	1.43659	+	0.979449i	0.439907	+	0.898043i	$0.355011\pi$
$420$	−17.0568	−	18.0134i	−0.832284	−	0.878962i
$421$	9.62455	+	7.10324i	0.469072	+	0.346191i	0.802568	−	0.596561i	$-0.203466\pi$
$421$	9.62455	+	7.10324i	0.469072	+	0.346191i	−0.333496	+	0.942752i	$0.608228\pi$
$422$	11.1115	+	23.0732i	0.540898	+	1.12319i
$423$	12.4388	−	17.5889i	0.604797	−	0.855203i
$424$	−5.05468	−	1.76871i	−0.245477	−	0.0858962i
$425$	−9.46905	−	17.9163i	−0.459316	−	0.869069i
$426$	−4.20697	−	3.03955i	−0.203829	−	0.147267i
$427$	−31.0130	−	26.6889i	−1.50083	−	1.29157i
$428$	−8.82066	+	2.72081i	−0.426363	+	0.131516i
$429$	37.8655	+	23.2608i	1.82816	+	1.12304i
$430$	−13.3356	−	33.9785i	−0.643099	−	1.63859i
$431$	−2.94086	+	0.671232i	−0.141656	+	0.0323321i	−0.292761	−	0.956186i	$-0.594574\pi$
$431$	−2.94086	+	0.671232i	−0.141656	+	0.0323321i	0.151105	+	0.988518i	$0.451717\pi$
$432$	−2.46015	+	4.57686i	−0.118364	+	0.220204i
$433$	19.7500	−	2.22529i	0.949124	−	0.106941i	0.376190	−	0.926542i	$-0.377234\pi$
$433$	19.7500	−	2.22529i	0.949124	−	0.106941i	0.572934	+	0.819602i	$0.305805\pi$
$434$	6.01785	−	10.4232i	0.288866	−	0.500330i
$435$	33.8207	−	5.57304i	1.62158	−	0.267207i
$436$	4.50113	+	7.79618i	0.215565	+	0.373369i
$437$	3.12291	+	4.23140i	0.149389	+	0.202415i
$438$	2.92638	−	1.18287i	0.139828	−	0.0565196i
$439$	1.16097	−	3.76378i	0.0554102	−	0.179635i	−0.923637	−	0.383268i	$-0.874799\pi$
$439$	1.16097	−	3.76378i	0.0554102	−	0.179635i	0.979047	+	0.203633i	$0.0652748\pi$
$440$	10.2865	−	12.8989i	0.490391	−	0.614931i
$441$	23.3277	−	7.71654i	1.11084	−	0.367454i
$442$	3.03018	−	13.2761i	0.144131	−	0.631478i
$443$	2.72098	−	14.3807i	0.129278	−	0.683249i	−0.856626	−	0.515937i	$-0.827444\pi$
$443$	2.72098	−	14.3807i	0.129278	−	0.683249i	0.985904	−	0.167312i	$-0.0535086\pi$
$444$	6.16346	+	13.7452i	0.292505	+	0.652319i
$445$	−8.02741	−	0.300364i	−0.380536	−	0.0142386i
$446$	2.00669	+	10.6056i	0.0950194	+	0.502189i
$447$	2.71784	+	31.9242i	0.128549	+	1.50996i
$448$	−3.88657	−	0.291258i	−0.183623	−	0.0137607i
$449$	1.85154	−	16.4328i	0.0873794	−	0.775514i	−0.871247	−	0.490845i	$-0.836688\pi$
$449$	1.85154	−	16.4328i	0.0873794	−	0.775514i	0.958626	−	0.284668i	$-0.0918834\pi$
$450$	22.7939	+	11.4623i	1.07451	+	0.540339i
$451$	10.2623	−	4.94209i	0.483235	−	0.232714i
$452$	6.00646	−	1.60943i	0.282520	−	0.0757011i
$453$	−12.4080	−	6.99713i	−0.582977	−	0.328754i
$454$	0.342725	−	9.15951i	0.0160849	−	0.429877i
$455$	−81.6236	+	6.11684i	−3.82657	+	0.286762i
$456$	9.66905	−	7.87235i	0.452795	−	0.368657i
$457$	1.98415	−	2.13840i	0.0928145	−	0.100030i	−0.684936	−	0.728603i	$-0.740170\pi$
$457$	1.98415	−	2.13840i	0.0928145	−	0.100030i	0.777751	+	0.628573i	$0.216360\pi$
$458$	−7.40748	+	5.90727i	−0.346129	+	0.276029i
$459$	−4.44252	−	11.5570i	−0.207359	−	0.539433i
$460$	0.597394	+	2.61735i	0.0278536	+	0.122035i
$461$	−24.5872	+	0.919989i	−1.14514	+	0.0428481i	−0.603215	−	0.797578i	$-0.706114\pi$
$461$	−24.5872	+	0.919989i	−1.14514	+	0.0428481i	−0.541926	+	0.840427i	$0.682305\pi$
$462$	13.4256	+	27.1711i	0.624617	+	1.26411i
$463$	15.9695	−	9.21998i	0.742165	−	0.428489i	−0.0806913	−	0.996739i	$-0.525713\pi$
$463$	15.9695	−	9.21998i	0.742165	−	0.428489i	0.822856	+	0.568250i	$0.192379\pi$
$464$	3.34248	−	4.22230i	0.155171	−	0.196015i
$465$	−3.45841	+	19.3491i	−0.160380	+	0.897291i
$466$	4.67953	+	2.04166i	0.216775	+	0.0945781i
$467$	6.84749	−	4.30256i	0.316864	−	0.199099i	−0.364204	−	0.931319i	$-0.618659\pi$
$467$	6.84749	−	4.30256i	0.316864	−	0.199099i	0.681068	+	0.732220i	$0.261516\pi$
$468$	6.58568	+	15.8294i	0.304423	+	0.731714i
$469$	−4.26307	−	3.39969i	−0.196850	−	0.156983i
$470$	−26.0942	+	3.93307i	−1.20364	+	0.181419i
$471$	−23.8303	−	31.6136i	−1.09804	−	1.45668i
$472$	−0.201269	+	0.233879i	−0.00926415	+	0.0107651i
$473$	3.33249	+	44.4689i	0.153228	+	2.04468i
$474$	0.498627	−	0.159355i	0.0229027	−	0.00731941i
$475$	−39.9342	−	46.4044i	−1.83231	−	2.12918i
$476$	6.56684	−	6.56684i	0.300990	−	0.300990i
$477$	−6.67595	+	14.6128i	−0.305671	+	0.669076i
$478$	−21.3628	−	2.40701i	−0.977110	−	0.110094i
$479$	5.69696	−	7.71911i	0.260301	−	0.352695i	−0.654884	−	0.755729i	$-0.727283\pi$
$479$	5.69696	−	7.71911i	0.260301	−	0.352695i	0.915185	+	0.403034i	$0.132044\pi$
$480$	6.13115	−	1.70958i	0.279847	−	0.0780315i
$481$	48.0095	+	12.8641i	2.18905	+	0.586553i
$482$	13.1603	−	2.49007i	0.599436	−	0.113419i
$483$	−4.81889	−	1.04864i	−0.219267	−	0.0477148i
$484$	−7.56482	+	5.15760i	−0.343855	+	0.234437i
$485$	−4.32101	−	12.3487i	−0.196207	−	0.560727i
$486$	12.9950	+	8.60989i	0.589465	+	0.390553i
$487$	−19.2097	−	24.0882i	−0.870474	−	1.09154i	−0.995054	−	0.0993305i	$-0.968330\pi$
$487$	−19.2097	−	24.0882i	−0.870474	−	1.09154i	0.124580	−	0.992210i	$-0.460242\pi$
$488$	9.77235	−	3.83536i	0.442374	−	0.173619i
$489$	−24.0707	+	15.4669i	−1.08852	+	0.699438i
$490$	−26.6102	−	14.0639i	−1.20213	−	0.635342i
$491$	−1.40959	+	1.04032i	−0.0636137	+	0.0469490i	−0.625163	−	0.780494i	$-0.714967\pi$
$491$	−1.40959	+	1.04032i	−0.0636137	+	0.0469490i	0.561549	+	0.827443i	$0.310206\pi$
$492$	4.32583	+	0.773189i	0.195024	+	0.0348581i
$493$	2.43077	+	12.5995i	0.109476	+	0.567451i
$494$		−	41.1399i		−	1.85097i
$495$	−35.7000	−	34.2820i	−1.60460	−	1.54086i
$496$	1.64296	+	2.61475i	0.0737709	+	0.117406i
$497$	−11.1600	−	3.44241i	−0.500595	−	0.154413i
$498$	7.31347	−	1.46067i	0.327725	−	0.0654541i
$499$	17.9328	+	7.03809i	0.802781	+	0.315068i	0.731022	−	0.682354i	$-0.239044\pi$
$499$	17.9328	+	7.03809i	0.802781	+	0.315068i	0.0717589	+	0.997422i	$0.477139\pi$
$500$	−3.79607	−	12.3065i	−0.169765	−	0.550366i
$501$	−4.30114	+	11.2942i	−0.192161	+	0.504588i
$502$	14.6055	+	21.4224i	0.651877	+	0.956127i
$503$	4.09743	+	2.57458i	0.182695	+	0.114795i	0.620274	−	0.784385i	$-0.287021\pi$
$503$	4.09743	+	2.57458i	0.182695	+	0.114795i	−0.437579	+	0.899180i	$0.644164\pi$
$504$	−1.94058	+	11.5303i	−0.0864402	+	0.513598i
$505$	16.8813	+	16.8813i	0.751210	+	0.751210i
$506$	0.245101	−	3.27064i	0.0108961	−	0.145398i
$507$	32.6394	+	9.70696i	1.44957	+	0.431101i
$508$	0.522079	−	0.227781i	0.0231635	−	0.0101061i
$509$	22.3292	−	32.7508i	0.989722	−	1.45166i	0.100090	−	0.994978i	$-0.468087\pi$
$509$	22.3292	−	32.7508i	0.989722	−	1.45166i	0.889632	−	0.456677i	$-0.150961\pi$
$510$	−6.44180	+	13.7306i	−0.285248	+	0.608002i
$511$	5.38354	−	4.63291i	0.238154	−	0.204948i
$512$	0.532032	−	0.846724i	0.0235127	−	0.0374203i
$513$	−20.8541	−	31.0529i	−0.920732	−	1.37102i
$514$	−19.8482	+	6.94517i	−0.875465	+	0.306338i
$515$	−4.92547	−	4.57017i	−0.217042	−	0.201386i
$516$	−9.00515	+	14.6592i	−0.396430	+	0.645334i
$517$	31.8789	+	4.80497i	1.40203	+	0.211322i
$518$	23.0556	+	24.8481i	1.01301	+	1.09176i
$519$	1.01873	+	2.52032i	0.0447174	+	0.110630i
$520$	8.39830	−	19.2491i	0.368290	−	0.844129i
$521$	−28.7150			−1.25803			−0.629013	−	0.777395i	$-0.716541\pi$
$521$	−28.7150			−1.25803			−0.629013	+	0.777395i	$0.716541\pi$
$522$	−11.6928	−	11.1480i	−0.511779	−	0.487937i
$523$	−22.5223			−0.984832			−0.492416	−	0.870360i	$-0.663886\pi$
$523$	−22.5223			−0.984832			−0.492416	+	0.870360i	$0.663886\pi$
$524$	−3.06507	+	7.02522i	−0.133898	+	0.306898i
$525$	56.8535	+	7.98118i	2.48129	+	0.348327i
$526$	−3.92093	−	4.22576i	−0.170961	−	0.184252i
$527$	−7.27609	−	1.09669i	−0.316952	−	0.0477728i
$528$	−7.77317	−	0.212030i	−0.338284	−	0.00922741i
$529$	−16.4690	−	15.2810i	−0.716042	−	0.664390i
$530$	18.5752	−	6.49975i	0.806856	−	0.282331i
$531$	0.643236	+	0.665674i	0.0279141	+	0.0288878i
$532$	14.9271	−	23.7564i	0.647172	−	1.02997i
$533$	10.9900	−	9.45770i	0.476032	−	0.409658i
$534$	2.16440	+	3.10651i	0.0936628	+	0.134432i
$535$	19.1088	−	28.0274i	0.826144	−	1.21173i
$536$	1.28230	−	0.559461i	0.0553868	−	0.0241650i
$537$	−2.79422	−	11.6949i	−0.120580	−	0.504674i
$538$	1.58532	−	21.1546i	0.0683479	−	0.912039i
$539$	26.0006	+	26.0006i	1.11993	+	1.11993i
$540$	−3.41837	−	18.7866i	−0.147103	−	0.808448i
$541$	−23.2735	−	14.6237i	−1.00061	−	0.628724i	−0.0710782	−	0.997471i	$-0.522644\pi$
$541$	−23.2735	−	14.6237i	−1.00061	−	0.628724i	−0.929530	+	0.368747i	$0.879787\pi$
$542$	3.13849	+	4.60331i	0.134810	+	0.197729i
$543$	5.41354	+	6.64907i	0.232317	+	0.285339i
$544$	0.702344	+	2.27694i	0.0301127	+	0.0976231i
$545$	−30.7951	−	12.0862i	−1.31912	−	0.517716i
$546$	25.4596	+	28.9855i	1.08957	+	1.24046i
$547$	2.61973	+	0.808081i	0.112012	+	0.0345511i	0.350254	−	0.936655i	$-0.386095\pi$
$547$	2.61973	+	0.808081i	0.112012	+	0.0345511i	−0.238243	+	0.971206i	$0.576571\pi$
$548$	−10.9750	−	17.4665i	−0.468827	−	0.746133i
$549$	−8.76587	−	30.2496i	−0.374118	−	1.29102i
$550$			38.1813i			1.62806i
$551$	15.6296	+	35.4759i	0.665844	+	1.51132i
$552$	0.815614	−	0.967410i	0.0347148	−	0.0411757i
$553$	0.947751	−	0.699472i	0.0403025	−	0.0297446i
$554$	−10.5730	−	5.58797i	−0.449202	−	0.237410i
$555$	−49.2018	−	25.3697i	−2.08850	−	1.07688i
$556$	−9.15329	+	3.59240i	−0.388186	+	0.152352i
$557$	2.57272	+	3.22609i	0.109010	+	0.136694i	0.833343	−	0.552756i	$-0.186424\pi$
$557$	2.57272	+	3.22609i	0.109010	+	0.136694i	−0.724334	+	0.689450i	$0.757852\pi$
$558$	8.26364	−	4.18786i	0.349828	−	0.177286i
$559$	18.7484	+	53.5797i	0.792971	+	2.26618i
$560$	11.8339	−	8.06823i	0.500074	−	0.340945i
$561$	12.4646	−	13.7096i	0.526255	−	0.578818i
$562$	14.1522	−	2.67774i	0.596974	−	0.112954i
$563$	31.2067	+	8.36180i	1.31520	+	0.352408i	0.847179	−	0.531307i	$-0.178299\pi$
$563$	31.2067	+	8.36180i	1.31520	+	0.352408i	0.468025	+	0.883715i	$0.344966\pi$
$564$	8.88347	+	8.70530i	0.374062	+	0.366559i
$565$	−13.5697	+	18.3863i	−0.570881	+	0.773517i
$566$	−32.0988	−	3.61666i	−1.34921	−	0.152020i
$567$	33.9102	+	8.97296i	1.42409	+	0.376829i
$568$	2.11886	−	2.11886i	0.0889055	−	0.0889055i
$569$	3.68056	+	4.27689i	0.154297	+	0.179296i	0.829800	−	0.558061i	$-0.188454\pi$
$569$	3.68056	+	4.27689i	0.154297	+	0.179296i	−0.675503	+	0.737357i	$0.736073\pi$
$570$	−9.74291	+	44.7722i	−0.408085	+	1.87530i
$571$	−1.76300	−	23.5257i	−0.0737794	−	0.984518i	−0.904125	−	0.427269i	$-0.859476\pi$
$571$	−1.76300	−	23.5257i	−0.0737794	−	0.984518i	0.830345	−	0.557249i	$-0.188143\pi$
$572$	−16.7358	+	19.4474i	−0.699760	+	0.813135i
$573$	−12.3387	+	29.0808i	−0.515458	+	1.21487i
$574$	9.77784	−	1.47377i	0.408119	−	0.0615140i
$575$	−4.85752	−	3.87374i	−0.202573	−	0.161546i
$576$	−2.38290	−	1.82257i	−0.0992877	−	0.0759405i
$577$	−20.3827	+	12.8073i	−0.848542	+	0.533174i	−0.884694	−	0.466172i	$-0.845633\pi$
$577$	−20.3827	+	12.8073i	−0.848542	+	0.533174i	0.0361522	+	0.999346i	$0.488490\pi$
$578$	10.3775	+	4.52768i	0.431649	+	0.188326i
$579$	−28.7331	−	24.2246i	−1.19411	−	1.00674i
$580$	0.0709520	+	19.7896i	0.00294612	+	0.821717i
$581$	14.5335	−	8.39092i	0.602951	−	0.348114i
$582$	−3.42182	+	5.12976i	−0.141839	+	0.212636i
$583$	−24.0254	+	0.898968i	−0.995032	+	0.0372315i
$584$	0.405511	+	1.77666i	0.0167802	+	0.0735187i
$585$	−55.1903	−	30.3903i	−2.28184	−	1.25649i
$586$	−3.45568	+	2.75581i	−0.142753	+	0.113842i
$587$	3.35149	−	3.61205i	0.138331	−	0.149085i	−0.660087	−	0.751190i	$-0.729480\pi$
$587$	3.35149	−	3.61205i	0.138331	−	0.149085i	0.798417	+	0.602104i	$0.205671\pi$
$588$	2.25629	+	14.0054i	0.0930480	+	0.577573i
$589$	−22.1680	+	1.66126i	−0.913417	+	0.0684512i
$590$	0.0423981	−	1.13311i	0.00174550	−	0.0466496i
$591$	0.0939827	+	9.27774i	0.00386593	+	0.381635i
$592$	−8.40077	+	2.25098i	−0.345269	+	0.0925146i
$593$	1.94039	−	0.934442i	0.0796822	−	0.0383729i	−0.393618	−	0.919274i	$-0.628777\pi$
$593$	1.94039	−	0.934442i	0.0796822	−	0.0383729i	0.473300	+	0.880901i	$0.343063\pi$
$594$	−2.77439	+	23.1626i	−0.113835	+	0.950374i
$595$	−3.82113	+	33.9134i	−0.156651	+	1.39032i
$596$	−18.4464	−	1.38236i	−0.755593	−	0.0566238i
$597$	−26.9541	−	12.6457i	−1.10316	−	0.517552i
$598$	−0.776185	−	4.10223i	−0.0317406	−	0.167753i
$599$	−34.8642	−	1.30452i	−1.42451	−	0.0533014i	−0.686029	−	0.727574i	$-0.740648\pi$
$599$	−34.8642	−	1.30452i	−1.42451	−	0.0533014i	−0.738482	+	0.674273i	$0.764457\pi$
$600$	−8.62666	+	11.9400i	−0.352182	+	0.487447i
$601$	−0.266645	+	1.40925i	−0.0108767	+	0.0574846i	−0.987584	−	0.157090i	$-0.949789\pi$
$601$	−0.266645	+	1.40925i	−0.0108767	+	0.0574846i	0.976708	+	0.214574i	$0.0688364\pi$
$602$	−8.61445	+	37.7424i	−0.351099	+	1.53826i
$603$	−1.31811	−	3.98474i	−0.0536774	−	0.162271i
$604$	5.12777	−	6.43002i	0.208646	−	0.261634i
$605$	9.91732	−	32.1512i	0.403196	−	1.30713i
$606$	1.56428	−	11.1431i	0.0635446	−	0.452656i
$607$	16.5893	+	22.4777i	0.673339	+	0.912341i	0.999456	−	0.0329879i	$-0.0105023\pi$
$607$	16.5893	+	22.4777i	0.673339	+	0.912341i	−0.326117	+	0.945329i	$0.605740\pi$
$608$	3.59936	+	6.23427i	0.145973	+	0.252833i
$609$	−32.9663	−	15.3224i	−1.33586	−	0.620894i
$610$	−19.2894	+	33.4102i	−0.781004	+	1.35274i
$611$	40.7804	−	4.59485i	1.64980	−	0.185888i
$612$	6.99543	−	1.47099i	0.282773	−	0.0594611i
$613$	9.13987	−	2.08611i	0.369156	−	0.0842574i	−0.0339187	−	0.999425i	$-0.510799\pi$
$613$	9.13987	−	2.08611i	0.369156	−	0.0842574i	0.403074	+	0.915167i	$0.367942\pi$
$614$	−10.5934	−	26.9915i	−0.427514	−	1.08929i
$615$	−14.2002	+	7.69003i	−0.572606	+	0.310092i
$616$	−16.7204	+	5.15755i	−0.673683	+	0.207804i
$617$	4.52863	+	3.89720i	0.182316	+	0.156895i	0.738711	−	0.674022i	$-0.235435\pi$
$617$	4.52863	+	3.89720i	0.182316	+	0.156895i	−0.556395	+	0.830918i	$0.687816\pi$
$618$	−0.322684	+	3.15041i	−0.0129803	+	0.126728i
$619$	20.0864	+	38.0052i	0.807339	+	1.52756i	0.848979	+	0.528427i	$0.177218\pi$
$619$	20.0864	+	38.0052i	0.807339	+	1.52756i	−0.0416400	+	0.999133i	$0.513258\pi$
$620$	−10.7114	−	3.74808i	−0.430180	−	0.150527i
$621$	−2.66533	−	2.70296i	−0.106956	−	0.108466i
$622$	−0.0371866	−	0.0772188i	−0.00149105	−	0.00309619i
$623$	6.85489	+	5.05914i	0.274636	+	0.202690i
$624$	−9.62752	+	2.30026i	−0.385409	+	0.0920842i
$625$	3.96978	+	2.70655i	0.158791	+	0.108262i
$626$	−0.761842	+	2.84323i	−0.0304493	+	0.113639i
$627$	27.4963	−	48.7591i	1.09810	−	1.94725i
$628$	20.2080	−	10.6803i	0.806389	−	0.426189i
$629$	8.99159	−	18.6712i	0.358518	−	0.744471i
$630$	−20.8430	−	37.5741i	−0.830405	−	1.49699i
$631$	27.9896	+	6.38845i	1.11425	+	0.254320i	0.739733	−	0.672900i	$-0.234952\pi$
$631$	27.9896	+	6.38845i	1.11425	+	0.254320i	0.374516	+	0.927220i	$0.377809\pi$
$632$	0.0450445	+	0.298851i	0.00179177	+	0.0118876i
$633$	8.68746	+	43.4976i	0.345296	+	1.72887i
$634$	8.52709	−	7.91199i	0.338654	−	0.314225i
$635$	−0.978096	+	1.85065i	−0.0388145	+	0.0734407i
$636$	−7.71629	−	5.14717i	−0.305971	−	0.204098i
$637$	40.5358	+	23.4033i	1.60609	+	0.927274i
$638$	7.04335	−	23.1281i	0.278849	−	0.915649i
$639$	−5.74614	−	6.91335i	−0.227314	−	0.273488i
$640$	0.411453	+	3.65175i	0.0162641	+	0.144348i
$641$	0.905966	+	24.2124i	0.0357835	+	0.956334i	0.895364	+	0.445334i	$0.146915\pi$
$641$	0.905966	+	24.2124i	0.0357835	+	0.956334i	−0.859581	+	0.511000i	$0.829275\pi$
$642$	−15.9701	+	0.759622i	−0.630289	+	0.0299799i
$643$	0.671481	−	4.45499i	0.0264806	−	0.175687i	−0.971681	−	0.236297i	$-0.924066\pi$
$643$	0.671481	−	4.45499i	0.0264806	−	0.175687i	0.998162	+	0.0606093i	$0.0193044\pi$
$644$	1.04023	−	2.65047i	0.0409910	−	0.104443i
$645$	−7.71474	−	62.7504i	−0.303767	−	2.47080i
$646$	−16.8541	−	3.18896i	−0.663115	−	0.125468i
$647$	−17.0355	−	8.20385i	−0.669734	−	0.322527i	0.0679348	−	0.997690i	$-0.478359\pi$
$647$	−17.0355	−	8.20385i	−0.669734	−	0.322527i	−0.737669	+	0.675163i	$0.764073\pi$
$648$	−6.10095	+	6.61652i	−0.239668	+	0.259922i
$649$	−0.457528	+	1.30754i	−0.0179595	+	0.0513254i
$650$	12.5793	+	46.9466i	0.493401	+	1.84140i
$651$	14.5906	−	14.8892i	0.571850	−	0.583554i
$652$	−6.60579	−	15.1406i	−0.258703	−	0.592953i
$653$	−17.9520	−	41.1464i	−0.702516	−	1.61018i	−0.789336	−	0.613961i	$-0.789575\pi$
$653$	−17.9520	−	41.1464i	−0.702516	−	1.61018i	0.0868200	−	0.996224i	$-0.472329\pi$
$654$	4.18795	+	15.0194i	0.163762	+	0.587306i
$655$	−7.29011	−	27.2071i	−0.284848	−	1.06307i
$656$	−0.837951	+	2.39473i	−0.0327165	+	0.0934984i
$657$	5.41916	−	0.722044i	0.211422	−	0.0281696i
$658$	25.2159	+	12.1434i	0.983019	+	0.473397i
$659$	21.1407	+	4.00003i	0.823524	+	0.155819i	0.580561	−	0.814216i	$-0.302833\pi$
$659$	21.1407	+	4.00003i	0.823524	+	0.155819i	0.242963	+	0.970036i	$0.421881\pi$
$660$	22.8190	−	17.2010i	0.888230	−	0.669547i
$661$	−7.95520	+	20.2695i	−0.309421	+	0.788393i	0.688578	+	0.725163i	$0.258235\pi$
$661$	−7.95520	+	20.2695i	−0.309421	+	0.788393i	−0.997999	+	0.0632301i	$0.979860\pi$
$662$	2.36602	−	15.6975i	0.0919581	−	0.610102i
$663$	10.8093	−	20.9635i	0.419798	−	0.814154i
$664$	0.161000	+	4.30282i	0.00624801	+	0.166982i
$665$	11.5441	+	102.456i	0.447659	+	3.97308i
$666$	4.41056	+	25.7158i	0.170906	+	0.996469i
$667$	2.22781	+	3.24257i	0.0862613	+	0.125553i
$668$	−6.04275	−	3.48878i	−0.233801	−	0.134985i
$669$	−1.20819	+	18.6563i	−0.0467114	+	0.721293i
$670$	−2.40233	+	4.54544i	−0.0928103	+	0.175606i
$671$	34.5495	−	32.0573i	1.33377	−	1.23756i
$672$	−6.39405	−	2.16493i	−0.246656	−	0.0835140i
$673$	2.12462	+	14.0959i	0.0818980	+	0.543357i	0.991726	+	0.128372i	$0.0409752\pi$
$673$	2.12462	+	14.0959i	0.0818980	+	0.543357i	−0.909828	+	0.414985i	$0.863787\pi$
$674$	26.8926	+	6.13806i	1.03586	+	0.236429i
$675$	33.2926	+	29.0593i	1.28143	+	1.11849i
$676$	−8.53019	+	17.7131i	−0.328084	+	0.681274i
$677$	−0.351153	+	0.185590i	−0.0134959	+	0.00713279i	−0.474003	−	0.880523i	$-0.657191\pi$
$677$	−0.351153	+	0.185590i	−0.0134959	+	0.00713279i	0.460507	+	0.887656i	$0.347668\pi$
$678$	10.7699	−	0.109099i	0.413617	−	0.00418991i
$679$	−3.59123	+	13.4027i	−0.137819	+	0.514347i
$680$	−7.23492	−	4.93269i	−0.277447	−	0.189160i
$681$	4.52558	−	15.2171i	0.173420	−	0.583122i
$682$	11.1549	+	8.23270i	0.427144	+	0.315246i
$683$	16.7656	+	34.8141i	0.641518	+	1.33213i	0.927476	+	0.373883i	$0.121974\pi$
$683$	16.7656	+	34.8141i	0.641518	+	1.33213i	−0.285958	+	0.958242i	$0.592312\pi$
$684$	19.6152	−	9.03534i	0.750006	−	0.345475i
$685$	71.5522	+	25.0372i	2.73387	+	0.956623i
$686$	2.16771	+	4.10151i	0.0827636	+	0.156596i
$687$	−14.9739	+	6.71439i	−0.571289	+	0.256170i
$688$	−7.52881	−	6.47907i	−0.287033	−	0.247012i
$689$	−29.2448	+	9.02082i	−1.11414	+	0.343666i
$690$	−0.126791	+	4.64825i	−0.00482684	+	0.176956i
$691$	3.41572	+	8.70312i	0.129940	+	0.331082i	0.981006	−	0.193977i	$-0.0621386\pi$
$691$	3.41572	+	8.70312i	0.129940	+	0.331082i	−0.851066	+	0.525059i	$0.824043\pi$
$692$	−1.53013	+	0.349243i	−0.0581669	+	0.0132762i
$693$	10.8020	+	51.3698i	0.410332	+	1.95138i
$694$	−0.712842	+	0.0803180i	−0.0270591	+	0.00304883i
$695$	18.0674	−	31.2937i	0.685337	−	1.18704i
$696$	7.42812	−	5.64119i	0.281562	−	0.213829i
$697$	−3.02271	−	5.23548i	−0.114493	−	0.198308i
$698$	−19.6798	−	26.6652i	−0.744892	−	1.00929i
$699$	6.96926	+	5.44323i	0.263601	+	0.205882i
$700$	−9.77003	+	31.6737i	−0.369272	+	1.19715i
$701$	−14.5716	+	18.2723i	−0.550364	+	0.690134i	−0.976744	−	0.214410i	$-0.931217\pi$
$701$	−14.5716	+	18.2723i	−0.550364	+	0.690134i	0.426380	+	0.904544i	$0.359789\pi$
$702$	4.21990	+	29.3941i	0.159270	+	1.10941i
$703$	13.9316	−	61.0383i	0.525440	−	2.30210i
$704$	0.834653	−	4.41125i	0.0314572	−	0.166255i
$705$	−45.4691	−	4.65723i	−1.71247	−	0.175401i
$706$	34.5452	+	1.29259i	1.30012	+	0.0486472i
$707$	−4.70729	−	24.8786i	−0.177036	−	0.935658i
$708$	−0.438502	+	0.305518i	−0.0164799	+	0.0114821i
$709$	16.1112	+	1.20737i	0.605068	+	0.0453436i	0.373742	−	0.927533i	$-0.378075\pi$
$709$	16.1112	+	1.20737i	0.605068	+	0.0453436i	0.231326	+	0.972876i	$0.425694\pi$
$710$	−1.23293	+	10.9426i	−0.0462710	+	0.410667i
$711$	0.905173	−	0.0522493i	0.0339466	−	0.00195950i
$712$	−1.96947	+	0.948445i	−0.0738089	+	0.0355445i
$713$	−2.17912	+	0.583894i	−0.0816088	+	0.0218670i
$714$	13.8482	−	8.18339i	0.518255	−	0.306256i
$715$	3.52547	−	94.2202i	0.131845	−	3.52364i
$716$	6.92272	−	0.518786i	0.258714	−	0.0193879i
$717$	−34.7976	−	13.2519i	−1.29954	−	0.494900i
$718$	8.72476	−	9.40305i	0.325605	−	0.350919i
$719$	−4.60829	+	3.67499i	−0.171860	+	0.137054i	−0.705643	−	0.708568i	$-0.749342\pi$
$719$	−4.60829	+	3.67499i	−0.171860	+	0.137054i	0.533782	+	0.845622i	$0.320770\pi$
$720$	11.0223	−	0.223333i	0.410777	−	0.00832313i
$721$	1.58572	+	6.94750i	0.0590553	+	0.258738i
$722$	−32.7985	+	1.22723i	−1.22063	+	0.0456729i
$723$	23.1503	+	1.49922i	0.860968	+	0.0557568i
$724$	−4.28709	+	2.47515i	−0.159329	+	0.0919884i
$725$	−28.6830	−	35.7040i	−1.06526	−	1.32601i
$726$	−14.9145	+	5.38898i	−0.553527	+	0.200004i
$727$	−9.73190	−	4.24598i	−0.360936	−	0.157475i	0.211596	−	0.977357i	$-0.432134\pi$
$727$	−9.73190	−	4.24598i	−0.360936	−	0.157475i	−0.572532	+	0.819882i	$0.694039\pi$
$728$	−18.8597	+	11.8503i	−0.698985	+	0.439201i
$729$	18.0853	+	20.0480i	0.669827	+	0.742517i
$730$	−5.23583	−	4.17543i	−0.193787	−	0.154540i
$731$	23.4037	−	3.52753i	0.865616	−	0.130471i
$732$	18.0473	−	2.21879i	0.667046	−	0.0820087i
$733$	−7.89536	+	9.17457i	−0.291622	+	0.338870i	−0.884602	−	0.466346i	$-0.845570\pi$
$733$	−7.89536	+	9.17457i	−0.291622	+	0.338870i	0.592981	+	0.805217i	$0.297951\pi$
$734$	−2.07272	−	27.6586i	−0.0765056	−	1.02090i
$735$	−38.5723	−	35.0695i	−1.42276	−	1.29356i
$736$	0.476528	+	0.553736i	0.0175651	+	0.0204110i
$737$	4.44131	−	4.44131i	0.163598	−	0.163598i
$738$	6.92304	+	3.16282i	0.254841	+	0.116425i
$739$	5.88316	+	0.662873i	0.216416	+	0.0243842i	0.219507	−	0.975611i	$-0.429555\pi$
$739$	5.88316	+	0.662873i	0.216416	+	0.0243842i	−0.00309082	+	0.999995i	$0.500984\pi$
$740$	18.9789	−	25.7154i	0.697677	−	0.945318i
$741$	17.7444	−	69.0117i	0.651857	−	2.53521i
$742$	−20.1606	−	5.40201i	−0.740117	−	0.198314i
$743$	−28.0503	+	5.30741i	−1.02907	+	0.194710i	−0.672916	−	0.739719i	$-0.734958\pi$
$743$	−28.0503	+	5.30741i	−1.02907	+	0.194710i	−0.356150	+	0.934429i	$0.615911\pi$
$744$	1.62825	+	5.09485i	0.0596945	+	0.186786i
$745$	56.1659	−	38.2932i	2.05776	−	1.40296i
$746$	1.96702	+	5.62141i	0.0720176	+	0.205814i
$747$	12.8983	+	0.704179i	0.471923	+	0.0257646i
$748$	6.66986	+	8.36374i	0.243874	+	0.305809i
$749$	−33.4897	+	13.1437i	−1.22369	+	0.480262i
$750$	−1.05982	−	22.2814i	−0.0386992	−	0.813602i
$751$	−9.57684	−	5.06151i	−0.349464	−	0.184697i	0.283320	−	0.959025i	$-0.408564\pi$
$751$	−9.57684	−	5.06151i	−0.349464	−	0.184697i	−0.632784	+	0.774328i	$0.718088\pi$
$752$	−5.77778	+	4.26420i	−0.210694	+	0.155499i
$753$	15.2607	+	42.2354i	0.556132	+	1.53914i
$754$	1.04047	−	30.7581i	0.0378917	−	1.12014i
$755$			30.2231i			1.09993i
$756$	−8.22850	+	18.5049i	−0.299268	+	0.673015i
$757$	−1.29712	−	2.06436i	−0.0471447	−	0.0750304i	0.822320	−	0.569025i	$-0.192679\pi$
$757$	−1.29712	−	2.06436i	−0.0471447	−	0.0750304i	−0.869465	+	0.493994i	$0.835536\pi$
$758$	3.09884	+	0.955867i	0.112555	+	0.0347186i
$759$	1.82184	−	5.38075i	0.0661286	−	0.195309i
$760$	−24.6255	−	9.66481i	−0.893262	−	0.350580i
$761$	11.2965	+	36.6222i	0.409496	+	1.32755i	0.892148	+	0.451742i	$0.149197\pi$
$761$	11.2965	+	36.6222i	0.409496	+	1.32755i	−0.482652	+	0.875812i	$0.660326\pi$
$762$	0.974028	−	0.156917i	0.0352853	−	0.00568452i
$763$	19.7647	+	28.9894i	0.715529	+	1.04949i
$764$	−15.4431	−	9.70352i	−0.558711	−	0.351061i
$765$	−16.7283	+	20.2545i	−0.604813	+	0.732302i
$766$	−1.02973	−	1.02973i	−0.0372057	−	0.0372057i
$767$	−0.131778	+	1.75845i	−0.00475821	+	0.0634940i
$768$	1.25768	−	1.19089i	0.0453828	−	0.0429727i
$769$	11.1007	−	4.84320i	0.400303	−	0.174650i	−0.190089	−	0.981767i	$-0.560878\pi$
$769$	11.1007	−	4.84320i	0.400303	−	0.174650i	0.590392	+	0.807116i	$0.298973\pi$
$770$	36.2224	−	53.1285i	1.30537	−	1.91462i
$771$	−36.2906	+	3.08957i	−1.30697	+	0.111268i
$772$	16.4465	−	14.1534i	0.591923	−	0.509391i
$773$	−17.0894	+	27.1976i	−0.614663	+	0.978231i	0.383832	+	0.923403i	$0.374604\pi$
$773$	−17.0894	+	27.1976i	−0.614663	+	0.978231i	−0.998496	+	0.0548285i	$0.982539\pi$
$774$	−21.4288	+	20.7065i	−0.770242	+	0.744280i
$775$	24.7889	−	8.67402i	0.890445	−	0.311580i
$776$	−2.60975	−	2.42149i	−0.0936846	−	0.0869266i
$777$	27.9581	+	51.6267i	1.00299	+	1.85210i
$778$	16.1856	+	2.43959i	0.580283	+	0.0874636i
$779$	−12.4226	−	13.3884i	−0.445085	−	0.479688i
$780$	22.3905	−	28.6678i	0.801710	−	1.02647i
$781$	5.37972	−	12.3305i	0.192502	−	0.441218i
$782$	−1.74076			−0.0622493
$783$	−14.8061	−	23.7440i	−0.529128	−	0.848542i
$784$	−8.19029			−0.292510
$785$	−33.5891	+	76.9870i	−1.19885	+	2.74778i
$786$	−8.17172	+	10.4627i	−0.291476	+	0.373192i
$787$	1.51947	+	1.63760i	0.0541633	+	0.0583741i	0.759552	−	0.650446i	$-0.225418\pi$
$787$	1.51947	+	1.63760i	0.0541633	+	0.0583741i	−0.705389	+	0.708820i	$0.749228\pi$
$788$	−5.29695	−	0.798386i	−0.188696	−	0.0284413i
$789$	−4.75467	−	8.77983i	−0.169271	−	0.312570i
$790$	−0.814155	−	0.755426i	−0.0289664	−	0.0268768i
$791$	22.8758	−	8.00459i	0.813370	−	0.284610i
$792$	−12.9480	−	3.70839i	−0.460085	−	0.131772i
$793$	31.9194	−	50.7994i	1.13349	−	1.80394i
$794$	6.68191	−	5.75025i	0.237132	−	0.204069i
$795$	33.9632	−	2.89143i	1.20455	−	0.102548i
$796$	9.68318	−	14.2026i	0.343211	−	0.503398i
$797$	−6.05687	+	2.64259i	−0.214545	+	0.0936052i	−0.504416	−	0.863460i	$-0.668292\pi$
$797$	−6.05687	+	2.64259i	−0.214545	+	0.0936052i	0.289871	+	0.957066i	$0.406388\pi$
$798$	35.2866	−	33.4127i	1.24913	−	1.18280i
$799$	1.27869	−	17.0630i	0.0452369	−	0.603644i
$800$	−6.01363	−	6.01363i	−0.212614	−	0.212614i
$801$	2.29086	+	6.14468i	0.0809436	+	0.217112i
$802$	−8.57102	−	5.38553i	−0.302653	−	0.190170i
$803$	4.60878	+	6.75985i	0.162640	+	0.238550i
$804$	2.39234	−	0.385410i	0.0843714	−	0.0135924i
$805$	3.08414	+	9.99854i	0.108702	+	0.352402i
$806$	16.4281	+	6.44756i	0.578655	+	0.227106i
$807$	11.7837	−	34.8028i	0.414806	−	1.22512i
$808$	6.20791	+	1.91489i	0.218394	+	0.0673655i
$809$	−28.6058	−	45.5259i	−1.00573	−	1.60061i	−0.779373	−	0.626560i	$-0.784462\pi$
$809$	−28.6058	−	45.5259i	−1.00573	−	1.60061i	−0.226354	−	0.974045i	$-0.572681\pi$
$810$	2.36874	−	32.9888i	0.0832290	−	1.15911i
$811$			32.4580i			1.13975i	0.821730	+	0.569876i	$0.193009\pi$
$811$			32.4580i			1.13975i	−0.821730	+	0.569876i	$0.806991\pi$
$812$	11.7610	−	17.3838i	0.412730	−	0.610052i
$813$	3.27928	+	9.07569i	0.115009	+	0.318298i
$814$	−31.4162	+	23.1862i	−1.10114	+	0.812675i
$815$	53.6699	+	28.3654i	1.87997	+	0.993596i
$816$	0.196087	+	4.12248i	0.00686441	+	0.144316i
$817$	66.5609	−	26.1232i	2.32867	−	0.913936i
$818$	−15.5309	−	19.4751i	−0.543024	−	0.680930i
$819$	30.2062	+	59.6040i	1.05549	+	2.08273i
$820$	−3.07935	−	8.80027i	−0.107536	−	0.307319i
$821$	−30.0108	+	20.4610i	−1.04738	+	0.714095i	−0.959406	−	0.282028i	$-0.908993\pi$
$821$	−30.0108	+	20.4610i	−1.04738	+	0.714095i	−0.0879785	+	0.996122i	$0.528041\pi$
$822$	−10.8767	−	34.0336i	−0.379369	−	1.18706i
$823$	14.0408	−	2.65667i	0.489433	−	0.0926057i	0.0646632	−	0.997907i	$-0.479403\pi$
$823$	14.0408	−	2.65667i	0.489433	−	0.0926057i	0.424770	+	0.905301i	$0.360355\pi$
$824$	−1.76611	−	0.473226i	−0.0615252	−	0.0164856i
$825$	−16.4683	+	64.0487i	−0.573352	+	2.22989i
$826$	−0.714127	+	0.967608i	−0.0248477	+	0.0336674i
$827$	28.2548	+	3.18355i	0.982515	+	0.110703i	0.588583	−	0.808437i	$-0.299686\pi$
$827$	28.2548	+	3.18355i	0.982515	+	0.110703i	0.393932	+	0.919140i	$0.371115\pi$
$828$	1.78544	−	1.27103i	0.0620485	−	0.0441713i
$829$	18.1300	−	18.1300i	0.629682	−	0.629682i	−0.318306	−	0.947988i	$-0.603114\pi$
$829$	18.1300	−	18.1300i	0.629682	−	0.629682i	0.947988	+	0.318306i	$0.103114\pi$
$830$	−10.3213	−	11.9936i	−0.358259	−	0.416304i
$831$	−15.3258	−	13.9340i	−0.531646	−	0.483367i
$832$	−0.427075	−	5.69892i	−0.0148062	−	0.197575i
$833$	12.7299	−	14.7925i	0.441066	−	0.512528i
$834$	−16.9040	+	2.07823i	−0.585337	+	0.0719632i
$835$	25.3551	−	3.82167i	0.877450	−	0.132254i
$836$	25.2678	+	20.1504i	0.873905	+	0.696916i
$837$	15.6685	−	3.46083i	0.541581	−	0.119624i
$838$	−30.1353	+	18.9353i	−1.04101	+	0.654108i
$839$	−32.0265	−	13.9730i	−1.10568	−	0.482402i	−0.233878	−	0.972266i	$-0.575142\pi$
$839$	−32.0265	−	13.9730i	−1.10568	−	0.482402i	−0.871799	+	0.489864i	$0.837047\pi$
$840$	23.3312	−	8.43017i	0.805004	−	0.290869i
$841$	10.7882	+	26.9187i	0.372007	+	0.928230i
$842$	−10.3593	+	5.98097i	−0.357007	+	0.206118i
$843$	24.8951	+	1.61222i	0.857432	+	0.0555278i
$844$	−25.5914	+	0.957563i	−0.880892	+	0.0329607i
$845$	−16.0767	−	70.4366i	−0.553055	−	2.42309i
$846$	11.1472	+	18.4346i	0.383247	+	0.633796i
$847$	−27.8990	+	22.2487i	−0.958622	+	0.764475i
$848$	3.64246	−	3.92564i	0.125083	−	0.134807i
$849$	−52.2853	−	19.9117i	−1.79443	−	0.683367i
$850$	20.2080	−	1.51438i	0.693129	−	0.0519428i
$851$	0.237571	−	6.34923i	0.00814384	−	0.217649i
$852$	4.46827	−	2.64046i	0.153080	−	0.0904608i
$853$	−1.05249	+	0.282014i	−0.0360366	+	0.00965598i	−0.276792	−	0.960930i	$-0.589271\pi$
$853$	−1.05249	+	0.282014i	−0.0360366	+	0.00965598i	0.240756	+	0.970586i	$0.422605\pi$
$854$	36.8639	−	17.7527i	1.26146	−	0.607485i
$855$	−35.6547	+	70.9026i	−1.21936	+	2.42482i
$856$	1.03352	−	9.17272i	0.0353249	−	0.313517i
$857$	41.5779	+	3.11583i	1.42027	+	0.106435i	0.762602	−	0.646868i	$-0.223922\pi$
$857$	41.5779	+	3.11583i	1.42027	+	0.106435i	0.657673	+	0.753303i	$0.271541\pi$
$858$	−36.4621	+	25.4043i	−1.24480	+	0.867287i
$859$	5.29103	+	27.9638i	0.180528	+	0.954111i	0.949249	+	0.314527i	$0.101846\pi$
$859$	5.29103	+	27.9638i	0.180528	+	0.954111i	−0.768721	+	0.639584i	$0.779106\pi$
$860$	36.4762	+	1.36484i	1.24383	+	0.0465408i
$861$	17.0379	+	1.74512i	0.580649	+	0.0594736i
$862$	0.560801	−	2.96390i	0.0191009	−	0.100951i
$863$	9.87208	−	43.2524i	0.336050	−	1.47233i	−0.471151	−	0.882052i	$-0.656161\pi$
$863$	9.87208	−	43.2524i	0.336050	−	1.47233i	0.807201	−	0.590277i	$-0.200981\pi$
$864$	−3.21119	−	4.08513i	−0.109247	−	0.138979i
$865$	3.59605	−	4.50931i	0.122269	−	0.153321i
$866$	−5.85825	+	18.9920i	−0.199071	+	0.645373i
$867$	15.4553	+	12.0711i	0.524891	+	0.409957i
$868$	7.14704	+	9.68389i	0.242586	+	0.328693i
$869$	0.678425	+	1.17507i	0.0230140	+	0.0398614i
$870$	−8.41657	+	33.2274i	−0.285349	+	1.12651i
$871$	3.99766	−	6.92414i	0.135455	−	0.234616i
$872$	−8.94565	+	1.00793i	−0.302938	+	0.0341329i
$873$	−7.95261	+	7.12922i	−0.269155	+	0.241288i
$874$	−5.12716	+	1.17024i	−0.173429	+	0.0395840i
$875$	−18.3381	−	46.7247i	−0.619940	−	1.57958i
$876$	−0.0860655	+	3.15523i	−0.00290789	+	0.106605i
$877$	−45.0923	+	13.9091i	−1.52266	+	0.469678i	−0.939462	−	0.342652i	$-0.888675\pi$
$877$	−45.0923	+	13.9091i	−1.52266	+	0.469678i	−0.583197	+	0.812330i	$0.698199\pi$
$878$	2.98548	+	2.56921i	0.100755	+	0.0867066i
$879$	−6.98549	+	3.13234i	−0.235615	+	0.105651i
$880$	7.70914	+	14.5864i	0.259875	+	0.491708i
$881$	9.23241	+	3.23056i	0.311048	+	0.108840i	0.481289	−	0.876562i	$-0.340169\pi$
$881$	9.23241	+	3.23056i	0.311048	+	0.108840i	−0.170241	+	0.985402i	$0.554455\pi$
$882$	−2.25588	+	24.4671i	−0.0759594	+	0.823850i
$883$	−19.9167	−	41.3575i	−0.670252	−	1.39179i	−0.907379	−	0.420314i	$-0.861920\pi$
$883$	−19.9167	−	41.3575i	−0.670252	−	1.39179i	0.237127	−	0.971479i	$-0.423794\pi$
$884$	10.9566	+	8.08634i	0.368510	+	0.271973i
$885$	0.559855	−	1.88250i	0.0188193	−	0.0632795i
$886$	12.0927	+	8.24469i	0.406263	+	0.276986i
$887$	−1.72483	+	6.43716i	−0.0579142	+	0.216139i	−0.988818	−	0.149125i	$-0.952354\pi$
$887$	−1.72483	+	6.43716i	−0.0579142	+	0.216139i	0.930904	+	0.365263i	$0.119021\pi$
$888$	−15.0631	+	0.152588i	−0.505483	+	0.00512051i
$889$	1.96276	−	1.03735i	0.0658288	−	0.0347915i
$890$	3.48540	−	7.23750i	0.116831	−	0.242602i
$891$	−14.6445	+	37.6584i	−0.490608	+	1.26160i
$892$	−10.5231	−	2.40184i	−0.352341	−	0.0804195i
$893$	−7.70454	−	51.1163i	−0.257823	−	1.71054i
$894$	−30.3473	−	10.2751i	−1.01497	−	0.343652i
$895$	−18.7011	+	17.3521i	−0.625109	+	0.580016i
$896$	1.82117	−	3.44581i	0.0608409	−	0.115117i
$897$	0.467327	−	7.21623i	0.0156036	−	0.240943i
$898$	14.3213	+	8.26841i	0.477908	+	0.275920i
$899$	−16.6158	+	0.681385i	−0.554169	+	0.0227255i
$900$	−19.6210	+	16.3083i	−0.654034	+	0.543611i
$901$	1.42871	+	12.6802i	0.0475973	+	0.422437i
$902$	0.425899	+	11.3824i	0.0141809	+	0.378992i
$903$	−30.7296	+	59.5968i	−1.02262	+	1.98326i
$904$	−0.926797	+	6.14889i	−0.0308248	+	0.204509i
$905$	6.64616	−	16.9341i	0.220926	−	0.562910i
$906$	11.3751	−	8.57457i	0.377914	−	0.284871i
$907$	7.00338	+	1.32511i	0.232543	+	0.0439996i	0.300877	−	0.953663i	$-0.402721\pi$
$907$	7.00338	+	1.32511i	0.232543	+	0.0439996i	−0.0683337	+	0.997663i	$0.521768\pi$
$908$	8.25821	+	3.97694i	0.274058	+	0.131979i
$909$	7.43027	−	18.0177i	0.246446	−	0.597608i
$910$	27.0342	−	77.2592i	0.896174	−	2.56112i
$911$	−13.6165	−	50.8175i	−0.451135	−	1.68366i	−0.699209	−	0.714917i	$-0.746464\pi$
$911$	−13.6165	−	50.8175i	−0.451135	−	1.68366i	0.248074	−	0.968741i	$-0.420202\pi$
$912$	3.34892	+	12.0104i	0.110894	+	0.397703i
$913$	7.73034	+	17.7181i	0.255837	+	0.586384i
$914$	1.16653	+	2.67373i	0.0385855	+	0.0884390i
$915$	−46.7681	+	47.7253i	−1.54611	+	1.57775i
$916$	−2.45219	−	9.15169i	−0.0810226	−	0.302380i
$917$	−9.86647	+	28.1968i	−0.325820	+	0.931139i
$918$	12.3692	+	0.549691i	0.408245	+	0.0181425i
$919$	−24.0017	−	11.5586i	−0.791742	−	0.381283i	−0.00611372	−	0.999981i	$-0.501946\pi$
$919$	−24.0017	−	11.5586i	−0.791742	−	0.381283i	−0.785629	+	0.618698i	$0.787660\pi$
$920$	−2.63786	−	0.499110i	−0.0869677	−	0.0164552i
$921$	−6.12835	−	49.8470i	−0.201936	−	1.64251i
$922$	8.98901	−	22.9036i	0.296037	−	0.754290i
$923$	2.55233	−	16.9336i	0.0840108	−	0.557375i
$924$	−30.2728	+	1.43993i	−0.995901	+	0.0473703i
$925$	2.76564	+	73.9133i	0.0909337	+	2.43025i
$926$	2.06462	+	18.3240i	0.0678477	+	0.602165i
$927$	−1.90013	+	5.14560i	−0.0624084	+	0.169004i
$928$	2.53337	+	4.75205i	0.0831620	+	0.155994i
$929$	−2.18906	−	1.26385i	−0.0718207	−	0.0414657i	0.463660	−	0.886013i	$-0.346536\pi$
$929$	−2.18906	−	1.26385i	−0.0718207	−	0.0414657i	−0.535480	+	0.844548i	$0.679869\pi$
$930$	−16.3516	−	10.9074i	−0.536191	−	0.357667i
$931$	27.5499	−	52.1270i	0.902913	−	1.70839i
$932$	−3.74262	+	3.47264i	−0.122593	+	0.113750i
$933$	−0.0290742	−	0.145573i	−0.000951848	−	0.00476584i
$934$	1.20531	+	7.99671i	0.0394389	+	0.261660i
$935$	−38.3266	−	8.74779i	−1.25341	−	0.286083i
$936$	−17.1422	−	0.293859i	−0.560310	−	0.00960508i
$937$	14.7371	−	30.6018i	0.481439	−	0.999718i	−0.508871	−	0.860843i	$-0.669937\pi$
$937$	14.7371	−	30.6018i	0.481439	−	0.999718i	0.990310	−	0.138875i	$-0.0443487\pi$
$938$	4.82080	−	2.54786i	0.157405	−	0.0831907i
$939$	−2.50432	+	4.44089i	−0.0817254	+	0.144923i
$940$	6.82997	−	25.4898i	0.222769	−	0.831385i
$941$	−9.51792	−	6.48921i	−0.310275	−	0.211542i	0.398163	−	0.917315i	$-0.369648\pi$
$941$	−9.51792	−	6.48921i	−0.310275	−	0.211542i	−0.708439	+	0.705772i	$0.750600\pi$
$942$	38.5053	−	9.19992i	1.25457	−	0.299750i
$943$	−1.49130	−	1.10063i	−0.0485636	−	0.0358415i
$944$	−0.133878	−	0.278002i	−0.00435737	−	0.00904818i
$945$	−18.7575	−	72.0200i	−0.610182	−	2.34281i
$946$	−42.0912	−	14.7283i	−1.36850	−	0.478860i
$947$	−12.7297	−	24.0858i	−0.413661	−	0.782685i	0.585957	−	0.810342i	$-0.300719\pi$
$947$	−12.7297	−	24.0858i	−0.413661	−	0.782685i	−0.999617	+	0.0276579i	$0.991195\pi$
$948$	−0.0533381	+	0.520747i	−0.00173234	+	0.0169131i
$949$	7.89394	+	6.79328i	0.256248	+	0.220519i
$950$	58.5019	−	18.0455i	1.89805	−	0.585472i
$951$	17.7167	−	9.59437i	0.574503	−	0.311119i
$952$	3.39289	+	8.64494i	0.109964	+	0.280184i
$953$	24.9894	−	5.70367i	0.809486	−	0.184760i	0.202304	−	0.979323i	$-0.435157\pi$
$953$	24.9894	−	5.70367i	0.809486	−	0.184760i	0.607182	+	0.794563i	$0.292300\pi$
$954$	−10.7239	−	11.9625i	−0.347200	−	0.387300i
$955$	66.6028	−	7.50433i	2.15522	−	0.242834i
$956$	10.7490	−	18.6178i	0.347647	−	0.602141i
$957$	21.7907	−	35.7591i	0.704393	−	1.15593i
$958$	4.79688	+	8.30843i	0.154980	+	0.268433i
$959$	−47.7422	−	64.6884i	−1.54168	−	2.08890i
$960$	−0.884857	+	6.30323i	−0.0285586	+	0.203436i
$961$	−6.32656	+	20.5102i	−0.204083	+	0.661620i
$962$	−30.9894	+	38.8595i	−0.999138	+	1.25288i
$963$	−27.1173	−	5.61393i	−0.873842	−	0.180906i
$964$	−2.98040	+	13.0580i	−0.0959923	+	0.420570i
$965$	−14.8241	+	78.3472i	−0.477204	+	2.52208i
$966$	2.88818	−	3.99747i	0.0929256	−	0.128616i
$967$	−46.8069	−	1.75139i	−1.50521	−	0.0563209i	−0.728005	−	0.685572i	$-0.759552\pi$
$967$	−46.8069	−	1.75139i	−1.50521	−	0.0563209i	−0.777202	+	0.629251i	$0.783362\pi$
$968$	−1.70216	−	8.99611i	−0.0547094	−	0.289146i
$969$	−26.8971	−	12.6189i	−0.864058	−	0.405378i
$970$	13.0463	+	0.977687i	0.418892	+	0.0313916i
$971$	0.573678	−	5.09154i	0.0184102	−	0.163395i	−0.981143	−	0.193283i	$-0.938086\pi$
$971$	0.573678	−	5.09154i	0.0184102	−	0.163395i	0.999553	+	0.0298879i	$0.00951502\pi$
$972$	−13.0881	+	8.46769i	−0.419801	+	0.271601i
$973$	−34.5286	+	16.6281i	−1.10694	+	0.533072i
$974$	29.7601	−	7.97420i	0.953576	−	0.255510i
$975$	0.852716	+	84.1780i	0.0273088	+	2.69585i
$976$	−0.392534	+	10.4907i	−0.0125647	+	0.335799i
$977$	3.26843	−	0.244935i	0.104566	−	0.00783615i	−0.0223442	−	0.999750i	$-0.507113\pi$
$977$	3.26843	−	0.244935i	0.104566	−	0.00783615i	0.126910	+	0.991914i	$0.459494\pi$
$978$	−4.55070	−	28.2474i	−0.145515	−	0.903252i
$979$	−6.67509	+	7.19404i	−0.213337	+	0.229923i
$980$	23.5316	−	18.7659i	0.751691	−	0.599454i
$981$	0.547096	+	27.0012i	0.0174674	+	0.862083i
$982$	−0.389837	−	1.70799i	−0.0124402	−	0.0545041i
$983$	−32.6790	+	1.22276i	−1.04230	+	0.0390001i	−0.553054	−	0.833146i	$-0.686538\pi$
$983$	−32.6790	+	1.22276i	−1.04230	+	0.0390001i	−0.489246	+	0.872146i	$0.662728\pi$
$984$	−2.43854	+	3.65570i	−0.0777379	+	0.116540i
$985$	17.0480	−	9.84269i	0.543196	−	0.313614i
$986$	−12.5202	−	2.81047i	−0.398725	−	0.0895036i
$987$	37.0618	+	31.2464i	1.17969	+	0.994584i
$988$	37.7073	+	16.4515i	1.19963	+	0.523393i
$989$	6.14420	−	3.86066i	0.195374	−	0.122762i
$990$	45.6978	−	19.0122i	1.45237	−	0.604246i
$991$	−23.4685	−	18.7155i	−0.745502	−	0.594518i	0.175315	−	0.984512i	$-0.443906\pi$
$991$	−23.4685	−	18.7155i	−0.745502	−	0.594518i	−0.920817	+	0.389994i	$0.872477\pi$
$992$	−3.05359	+	0.460254i	−0.0969514	+	0.0146131i
$993$	10.7396	−	25.3119i	0.340811	−	0.803250i
$994$	7.61798	−	8.85225i	0.241628	−	0.280776i
$995$	4.72061	+	62.9922i	0.149653	+	1.99699i
$996$	−1.58581	+	7.28736i	−0.0502482	+	0.230909i
$997$	−32.8976	−	38.2277i	−1.04188	−	1.21068i	−0.977099	−	0.212784i	$-0.931747\pi$
$997$	−32.8976	−	38.2277i	−1.04188	−	1.21068i	−0.0647779	−	0.997900i	$-0.520634\pi$
$998$	−13.6220	+	13.6220i	−0.431198	+	0.431198i
$999$	−3.69304	+	45.0404i	−0.116843	+	1.42501i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	522.2.x.a.101.4	✓	720
9.5	odd	6	inner	522.2.x.a.275.29	yes	720
29.27	odd	28	inner	522.2.x.a.317.29	yes	720
261.230	even	84	inner	522.2.x.a.491.4	yes	720

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
522.2.x.a.101.4	✓	720	1.1	even	1	trivial
522.2.x.a.275.29	yes	720	9.5	odd	6	inner
522.2.x.a.317.29	yes	720	29.27	odd	28	inner
522.2.x.a.491.4	yes	720	261.230	even	84	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 522 = 2 \cdot 3^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	522.x (of order \(84\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.399892 + 0.916562i) q^{2} +(-1.06614 + 1.36504i) q^{3} +(-0.680173 - 0.733052i) q^{4} +(3.63381 + 0.547709i) q^{5} +(-0.824803 - 1.52306i) q^{6} +(-2.85705 - 2.65095i) q^{7} +(0.943883 - 0.330279i) q^{8} +(-0.726675 - 2.91066i) q^{9} +(-1.95514 + 3.11159i) q^{10} +(3.40292 - 2.92845i) q^{11} +(1.72581 - 0.146925i) q^{12} +(3.21932 - 4.72187i) q^{13} +(3.57228 - 1.55857i) q^{14} +(-4.62181 + 4.37636i) q^{15} +(-0.0747301 + 0.997204i) q^{16} +(-1.68490 - 1.68490i) q^{17} +(2.95839 + 0.497907i) q^{18} +(-6.09533 - 3.82995i) q^{19} +(-2.07012 - 3.03631i) q^{20} +(6.66469 - 1.07369i) q^{21} +(1.32331 + 4.29006i) q^{22} +(-0.680050 - 0.266900i) q^{23} +(-0.555471 + 1.64056i) q^{24} +(8.12672 + 2.50676i) q^{25} +(3.04051 + 4.83894i) q^{26} +(4.74791 + 2.11124i) q^{27} +3.89747i q^{28} +(-4.46028 - 3.01760i) q^{29} +(-2.16299 - 5.98625i) q^{30} +(2.48466 - 1.83376i) q^{31} +(-0.884115 - 0.467269i) q^{32} +(0.369453 + 7.76728i) q^{33} +(2.21809 - 0.870536i) q^{34} +(-8.93002 - 11.1979i) q^{35} +(-1.63940 + 2.51244i) q^{36} +(2.87247 + 8.20906i) q^{37} +(5.94786 - 4.05518i) q^{38} +(3.01330 + 9.42870i) q^{39} +(3.61079 - 0.683198i) q^{40} +(2.45065 + 0.656650i) q^{41} +(-1.68105 + 6.53796i) q^{42} +(-5.89832 + 7.99194i) q^{43} +(-4.46128 - 0.502666i) q^{44} +(-1.04641 - 10.9748i) q^{45} +(0.516577 - 0.516577i) q^{46} +(4.68405 + 5.44296i) q^{47} +(-1.28155 - 1.16517i) q^{48} +(0.612061 + 8.16738i) q^{49} +(-5.54741 + 6.44621i) q^{50} +(4.09630 - 0.503612i) q^{51} +(-5.65107 + 0.851762i) q^{52} +(-4.18686 - 3.33891i) q^{53} +(-3.83373 + 3.50749i) q^{54} +(13.9695 - 8.77763i) q^{55} +(-3.57228 - 1.55857i) q^{56} +(11.7265 - 4.23710i) q^{57} +(4.54945 - 2.88141i) q^{58} +(-0.267219 + 0.154279i) q^{59} +(6.35173 + 0.411341i) q^{60} +(10.4907 - 0.392534i) q^{61} +(0.687162 + 3.01065i) q^{62} +(-5.63988 + 10.2423i) q^{63} +(0.781831 - 0.623490i) q^{64} +(14.2846 - 15.3951i) q^{65} +(-7.26694 - 2.76745i) q^{66} +(1.39512 - 0.104550i) q^{67} +(-0.0890959 + 2.38114i) q^{68} +(1.08936 - 0.643742i) q^{69} +(13.8346 - 3.70697i) q^{70} +(2.69978 - 1.30014i) q^{71} +(-1.64723 - 2.50732i) q^{72} +(-0.204039 + 1.81089i) q^{73} +(-8.67279 - 0.649936i) q^{74} +(-12.0861 + 8.42074i) q^{75} +(1.33832 + 7.07322i) q^{76} +(-17.4855 - 0.654262i) q^{77} +(-9.84698 - 1.00859i) q^{78} +(-0.0561874 + 0.296958i) q^{79} +(-0.817732 + 3.58272i) q^{80} +(-7.94389 + 4.23021i) q^{81} +(-1.58186 + 1.98359i) q^{82} +(-1.26916 + 4.11453i) q^{83} +(-5.32021 - 4.15526i) q^{84} +(-5.19976 - 7.04542i) q^{85} +(-4.96642 - 8.60210i) q^{86} +(8.87445 - 2.87127i) q^{87} +(2.24476 - 3.88803i) q^{88} +(-2.17220 + 0.244748i) q^{89} +(10.4775 + 3.42963i) q^{90} +(-21.7152 + 4.95636i) q^{91} +(0.266900 + 0.680050i) q^{92} +(-0.145843 + 5.34672i) q^{93} +(-6.86193 + 2.11662i) q^{94} +(-20.0516 - 17.2558i) q^{95} +(1.58043 - 0.708679i) q^{96} +(-1.66353 - 3.14755i) q^{97} +(-7.73068 - 2.70508i) q^{98} +(-10.9966 - 7.77672i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 720 q + 24 q^{11} - 12 q^{14} - 20 q^{15} - 60 q^{16} + 84 q^{21} + 20 q^{24} + 60 q^{25} - 144 q^{27} - 12 q^{29} + 72 q^{30} + 84 q^{33} - 40 q^{36} + 40 q^{39} - 12 q^{41} - 104 q^{45} + 24 q^{46} - 24 q^{47}+ \cdots - 84 q^{99}+O(q^{100}) \) 720 * q + 24 * q^11 - 12 * q^14 - 20 * q^15 - 60 * q^16 + 84 * q^21 + 20 * q^24 + 60 * q^25 - 144 * q^27 - 12 * q^29 + 72 * q^30 + 84 * q^33 - 40 * q^36 + 40 * q^39 - 12 * q^41 - 104 * q^45 + 24 * q^46 - 24 * q^47 + 60 * q^49 + 16 * q^54 - 144 * q^55 + 12 * q^56 + 12 * q^58 + 120 * q^59 - 16 * q^60 - 12 * q^61 + 36 * q^65 - 48 * q^66 - 36 * q^68 + 52 * q^69 - 180 * q^74 - 184 * q^75 - 132 * q^77 - 68 * q^78 + 12 * q^79 - 216 * q^81 + 96 * q^82 - 432 * q^83 - 80 * q^84 - 48 * q^85 - 200 * q^87 - 112 * q^90 - 252 * q^92 - 112 * q^93 + 192 * q^95 + 24 * q^97 - 84 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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