LMFDB - Embedded newform 296.2.q.a.101.34

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(85,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(6)) chi = DirichletCharacter(H, H._module([0, 3, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.85"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.q (of order $6$, degree $2$, 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:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			101.34
Character	$\chi$	$=$	296.101
Dual form			296.2.q.a.85.34

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.35873 + 0.392254i) q^{2} +(0.727471 - 0.420006i) q^{3} +(1.69227 + 1.06593i) q^{4} +(0.249638 + 0.432386i) q^{5} +(1.15318 - 0.285319i) q^{6} +(0.235288 + 0.407531i) q^{7} +(1.88122 + 2.11211i) q^{8} +(-1.14719 + 1.98699i) q^{9} +(0.169585 + 0.685415i) q^{10} -1.14772i q^{11} +(1.67878 + 0.0646708i) q^{12} +(-3.10587 - 5.37952i) q^{13} +(0.159836 + 0.646015i) q^{14} +(0.363209 + 0.209699i) q^{15} +(1.72758 + 3.60770i) q^{16} +(-0.363464 - 0.209846i) q^{17} +(-2.33812 + 2.24979i) q^{18} +(1.39615 + 2.41820i) q^{19} +(-0.0384383 + 0.997812i) q^{20} +(0.342330 + 0.197644i) q^{21} +(0.450198 - 1.55944i) q^{22} -7.74213i q^{23} +(2.25563 + 0.746378i) q^{24} +(2.37536 - 4.11425i) q^{25} +(-2.10988 - 8.52759i) q^{26} +4.44734i q^{27} +(-0.0362287 + 0.940454i) q^{28} -5.48269 q^{29} +(0.411246 + 0.427393i) q^{30} +7.40664i q^{31} +(0.932167 + 5.57952i) q^{32} +(-0.482049 - 0.834933i) q^{33} +(-0.411535 - 0.427694i) q^{34} +(-0.117474 + 0.203470i) q^{35} +(-4.05936 + 2.13971i) q^{36} +(-5.34584 - 2.90207i) q^{37} +(0.948433 + 3.83331i) q^{38} +(-4.51886 - 2.60896i) q^{39} +(-0.443623 + 1.34068i) q^{40} +(1.51018 + 2.61571i) q^{41} +(0.387606 + 0.402825i) q^{42} -1.44686 q^{43} +(1.22339 - 1.94226i) q^{44} -1.14553 q^{45} +(3.03688 - 10.5194i) q^{46} -0.412916 q^{47} +(2.77201 + 1.89890i) q^{48} +(3.38928 - 5.87040i) q^{49} +(4.84130 - 4.65839i) q^{50} -0.352546 q^{51} +(0.478230 - 12.4143i) q^{52} +(-6.89691 - 3.98194i) q^{53} +(-1.74449 + 6.04272i) q^{54} +(0.496258 - 0.286515i) q^{55} +(-0.418122 + 1.26361i) q^{56} +(2.03131 + 1.17278i) q^{57} +(-7.44947 - 2.15061i) q^{58} +(-5.73102 + 9.92641i) q^{59} +(0.391124 + 0.742024i) q^{60} +(2.66975 + 4.62415i) q^{61} +(-2.90529 + 10.0636i) q^{62} -1.07968 q^{63} +(-0.922032 + 7.94669i) q^{64} +(1.55069 - 2.68587i) q^{65} +(-0.327466 - 1.32353i) q^{66} +(8.66568 - 5.00313i) q^{67} +(-0.391399 - 0.742545i) q^{68} +(-3.25174 - 5.63217i) q^{69} +(-0.239427 + 0.230381i) q^{70} +(2.85626 + 4.94719i) q^{71} +(-6.35487 + 1.31497i) q^{72} -5.09043 q^{73} +(-6.12519 - 6.04004i) q^{74} -3.99066i q^{75} +(-0.214973 + 5.58045i) q^{76} +(0.467731 - 0.270045i) q^{77} +(-5.11651 - 5.31741i) q^{78} +(5.88163 - 3.39576i) q^{79} +(-1.12865 + 1.64760i) q^{80} +(-1.57366 - 2.72567i) q^{81} +(1.02590 + 4.14641i) q^{82} +(11.4936 + 6.63581i) q^{83} +(0.368641 + 0.699369i) q^{84} -0.209542i q^{85} +(-1.96589 - 0.567537i) q^{86} +(-3.98850 + 2.30276i) q^{87} +(2.42411 - 2.15911i) q^{88} +(-10.0474 - 5.80087i) q^{89} +(-1.55646 - 0.449339i) q^{90} +(1.46155 - 2.53147i) q^{91} +(8.25259 - 13.1018i) q^{92} +(3.11083 + 5.38811i) q^{93} +(-0.561040 - 0.161968i) q^{94} +(-0.697063 + 1.20735i) q^{95} +(3.02156 + 3.66742i) q^{96} +8.36880i q^{97} +(6.90779 - 6.64681i) q^{98} +(2.28051 + 1.31665i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) $ 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$-1$	$1$

Coefficient data

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

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

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

$2$	1.35873	+	0.392254i	0.960764	+	0.277366i
$2$	1.35873	+	0.392254i	0.960764	+	0.277366i
$3$	0.727471	−	0.420006i	0.420006	−	0.242490i	−0.275074	−	0.961423i	$-0.588702\pi$
$3$	0.727471	−	0.420006i	0.420006	−	0.242490i	0.695080	+	0.718933i	$0.255369\pi$
$4$	1.69227	+	1.06593i	0.846137	+	0.532966i
$5$	0.249638	+	0.432386i	0.111642	+	0.193369i	0.916432	−	0.400190i	$-0.131056\pi$
$5$	0.249638	+	0.432386i	0.111642	+	0.193369i	−0.804791	+	0.593559i	$0.797722\pi$
$6$	1.15318	−	0.285319i	0.470785	−	0.116481i
$7$	0.235288	+	0.407531i	0.0889305	+	0.154032i	0.907059	−	0.421003i	$-0.138322\pi$
$7$	0.235288	+	0.407531i	0.0889305	+	0.154032i	−0.818129	+	0.575035i	$0.804988\pi$
$8$	1.88122	+	2.11211i	0.665111	+	0.746744i
$9$	−1.14719	+	1.98699i	−0.382397	+	0.662331i
$10$	0.169585	+	0.685415i	0.0536273	+	0.216747i
$11$		−	1.14772i		−	0.346051i	−0.984917	−	0.173025i	$-0.944646\pi$
$11$		−	1.14772i		−	0.346051i	0.984917	−	0.173025i	$-0.0553542\pi$
$12$	1.67878	+	0.0646708i	0.484621	+	0.0186689i
$13$	−3.10587	−	5.37952i	−0.861413	−	1.49201i	−0.870565	−	0.492053i	$-0.836247\pi$
$13$	−3.10587	−	5.37952i	−0.861413	−	1.49201i	0.00915271	−	0.999958i	$-0.497087\pi$
$14$	0.159836	+	0.646015i	0.0427180	+	0.172655i
$15$	0.363209	+	0.209699i	0.0937801	+	0.0541440i
$16$	1.72758	+	3.60770i	0.431894	+	0.901924i
$17$	−0.363464	−	0.209846i	−0.0881530	−	0.0508952i	0.455276	−	0.890351i	$-0.349541\pi$
$17$	−0.363464	−	0.209846i	−0.0881530	−	0.0508952i	−0.543428	+	0.839455i	$0.682874\pi$
$18$	−2.33812	+	2.24979i	−0.551101	+	0.530280i
$19$	1.39615	+	2.41820i	0.320298	+	0.554773i	0.980549	−	0.196272i	$-0.0628836\pi$
$19$	1.39615	+	2.41820i	0.320298	+	0.554773i	−0.660251	+	0.751045i	$0.729550\pi$
$20$	−0.0384383	+	0.997812i	−0.00859507	+	0.223118i
$21$	0.342330	+	0.197644i	0.0747026	+	0.0431296i
$22$	0.450198	−	1.55944i	0.0959826	−	0.332473i
$23$		−	7.74213i		−	1.61435i	−0.590315	−	0.807173i	$-0.700997\pi$
$23$		−	7.74213i		−	1.61435i	0.590315	−	0.807173i	$-0.299003\pi$
$24$	2.25563	+	0.746378i	0.460429	+	0.152354i
$25$	2.37536	−	4.11425i	0.475072	−	0.822849i
$26$	−2.10988	−	8.52759i	−0.413782	−	1.67240i
$27$			4.44734i			0.855891i
$28$	−0.0362287	+	0.940454i	−0.00684658	+	0.177729i
$29$	−5.48269			−1.01811			−0.509055	−	0.860734i	$-0.670005\pi$
$29$	−5.48269			−1.01811			−0.509055	+	0.860734i	$0.670005\pi$
$30$	0.411246	+	0.427393i	0.0750829	+	0.0780310i
$31$			7.40664i			1.33027i	0.746722	+	0.665136i	$0.231626\pi$
$31$			7.40664i			1.33027i	−0.746722	+	0.665136i	$0.768374\pi$
$32$	0.932167	+	5.57952i	0.164785	+	0.986329i
$33$	−0.482049	−	0.834933i	−0.0839139	−	0.145343i
$34$	−0.411535	−	0.427694i	−0.0705777	−	0.0733489i
$35$	−0.117474	+	0.203470i	−0.0198567	+	0.0343928i
$36$	−4.05936	+	2.13971i	−0.676560	+	0.356618i
$37$	−5.34584	−	2.90207i	−0.878851	−	0.477097i
$37$	−5.34584	−	2.90207i	−0.878851	−	0.477097i
$38$	0.948433	+	3.83331i	0.153856	+	0.621846i
$39$	−4.51886	−	2.60896i	−0.723596	−	0.417769i
$40$	−0.443623	+	1.34068i	−0.0701430	+	0.211979i
$41$	1.51018	+	2.61571i	0.235851	+	0.408505i	0.959520	−	0.281642i	$-0.0908791\pi$
$41$	1.51018	+	2.61571i	0.235851	+	0.408505i	−0.723669	+	0.690147i	$0.757546\pi$
$42$	0.387606	+	0.402825i	0.0598089	+	0.0621573i
$43$	−1.44686			−0.220644			−0.110322	−	0.993896i	$-0.535188\pi$
$43$	−1.44686			−0.220644			−0.110322	+	0.993896i	$0.535188\pi$
$44$	1.22339	−	1.94226i	0.184433	−	0.292806i
$45$	−1.14553			−0.170765
$46$	3.03688	−	10.5194i	0.447764	−	1.55101i
$47$	−0.412916			−0.0602300			−0.0301150	−	0.999546i	$-0.509587\pi$
$47$	−0.412916			−0.0602300			−0.0301150	+	0.999546i	$0.509587\pi$
$48$	2.77201	+	1.89890i	0.400106	+	0.274083i
$49$	3.38928	−	5.87040i	0.484183	−	0.838629i
$50$	4.84130	−	4.65839i	0.684663	−	0.658796i
$51$	−0.352546			−0.0493663
$52$	0.478230	−	12.4143i	0.0663185	−	1.72155i
$53$	−6.89691	−	3.98194i	−0.947364	−	0.546961i	−0.0551030	−	0.998481i	$-0.517549\pi$
$53$	−6.89691	−	3.98194i	−0.947364	−	0.546961i	−0.892261	+	0.451520i	$0.850882\pi$
$54$	−1.74449	+	6.04272i	−0.237395	+	0.822309i
$55$	0.496258	−	0.286515i	0.0669154	−	0.0386336i
$56$	−0.418122	+	1.26361i	−0.0558739	+	0.168857i
$57$	2.03131	+	1.17278i	0.269054	+	0.155338i
$58$	−7.44947	−	2.15061i	−0.978163	−	0.282389i
$59$	−5.73102	+	9.92641i	−0.746115	+	1.29231i	0.203557	+	0.979063i	$0.434750\pi$
$59$	−5.73102	+	9.92641i	−0.746115	+	1.29231i	−0.949672	+	0.313246i	$0.898584\pi$
$60$	0.391124	+	0.742024i	0.0504939	+	0.0957948i
$61$	2.66975	+	4.62415i	0.341827	+	0.592061i	0.984772	−	0.173851i	$-0.0556211\pi$
$61$	2.66975	+	4.62415i	0.341827	+	0.592061i	−0.642945	+	0.765912i	$0.722288\pi$
$62$	−2.90529	+	10.0636i	−0.368972	+	1.27808i
$63$	−1.07968			−0.136027
$64$	−0.922032	+	7.94669i	−0.115254	+	0.993336i
$65$	1.55069	−	2.68587i	0.192339	−	0.333141i
$66$	−0.327466	−	1.32353i	−0.0403083	−	0.162915i
$67$	8.66568	−	5.00313i	1.05868	−	0.611230i	0.133614	−	0.991033i	$-0.457342\pi$
$67$	8.66568	−	5.00313i	1.05868	−	0.611230i	0.925067	+	0.379803i	$0.124008\pi$
$68$	−0.391399	−	0.742545i	−0.0474641	−	0.0900468i
$69$	−3.25174	−	5.63217i	−0.391463	−	0.678034i
$70$	−0.239427	+	0.230381i	−0.0286169	+	0.0275358i
$71$	2.85626	+	4.94719i	0.338976	+	0.587123i	0.984240	−	0.176836i	$-0.0565862\pi$
$71$	2.85626	+	4.94719i	0.338976	+	0.587123i	−0.645265	+	0.763959i	$0.723253\pi$
$72$	−6.35487	+	1.31497i	−0.748928	+	0.154971i
$73$	−5.09043			−0.595790			−0.297895	−	0.954599i	$-0.596285\pi$
$73$	−5.09043			−0.595790			−0.297895	+	0.954599i	$0.596285\pi$
$74$	−6.12519	−	6.04004i	−0.712038	−	0.702141i
$75$		−	3.99066i		−	0.460802i
$76$	−0.214973	+	5.58045i	−0.0246591	+	0.640122i
$77$	0.467731	−	0.270045i	0.0533029	−	0.0307744i
$78$	−5.11651	−	5.31741i	−0.579331	−	0.602078i
$79$	5.88163	−	3.39576i	0.661735	−	0.382053i	−0.131203	−	0.991356i	$-0.541884\pi$
$79$	5.88163	−	3.39576i	0.661735	−	0.382053i	0.792938	+	0.609303i	$0.208551\pi$
$80$	−1.12865	+	1.64760i	−0.126187	+	0.184207i
$81$	−1.57366	−	2.72567i	−0.174852	−	0.302852i
$82$	1.02590	+	4.14641i	0.113292	+	0.457894i
$83$	11.4936	+	6.63581i	1.26158	+	0.728375i	0.973381	−	0.229194i	$-0.0736091\pi$
$83$	11.4936	+	6.63581i	1.26158	+	0.728375i	0.288202	+	0.957570i	$0.406942\pi$
$84$	0.368641	+	0.699369i	0.0402220	+	0.0763074i
$85$		−	0.209542i		−	0.0227281i
$86$	−1.96589	−	0.567537i	−0.211987	−	0.0611991i
$87$	−3.98850	+	2.30276i	−0.427612	+	0.246882i
$88$	2.42411	−	2.15911i	0.258411	−	0.230162i
$89$	−10.0474	−	5.80087i	−1.06502	−	0.614891i	−0.138206	−	0.990404i	$-0.544134\pi$
$89$	−10.0474	−	5.80087i	−1.06502	−	0.614891i	−0.926817	+	0.375512i	$0.877467\pi$
$90$	−1.55646	−	0.449339i	−0.164065	−	0.0473645i
$91$	1.46155	−	2.53147i	0.153212	−	0.265370i
$92$	8.25259	−	13.1018i	0.860392	−	1.36596i
$93$	3.11083	+	5.38811i	0.322578	+	0.558721i
$94$	−0.561040	−	0.161968i	−0.0578669	−	0.0167057i
$95$	−0.697063	+	1.20735i	−0.0715172	+	0.123871i
$96$	3.02156	+	3.66742i	0.308386	+	0.374305i
$97$			8.36880i			0.849723i	0.905258	+	0.424861i	$0.139677\pi$
$97$			8.36880i			0.849723i	−0.905258	+	0.424861i	$0.860323\pi$
$98$	6.90779	−	6.64681i	0.697793	−	0.671429i
$99$	2.28051	+	1.31665i	0.229200	+	0.132329i
$100$	8.40527	−	4.43045i	0.840527	−	0.443045i
$101$		−	4.99152i		−	0.496675i	−0.968674	−	0.248337i	$-0.920116\pi$
$101$		−	4.99152i		−	0.496675i	0.968674	−	0.248337i	$-0.0798841\pi$
$102$	−0.479014	−	0.138288i	−0.0474294	−	0.0136925i
$103$			8.16774i			0.804791i	0.915466	+	0.402396i	$0.131822\pi$
$103$			8.16774i			0.804791i	−0.915466	+	0.402396i	$0.868178\pi$
$104$	5.51933	−	16.6800i	0.541215	−	1.63561i
$105$			0.197358i			0.0192602i
$106$	−7.80909	−	8.11570i	−0.758486	−	0.788267i
$107$	−9.89318	+	5.71183i	−0.956410	+	0.552183i	−0.895066	−	0.445933i	$-0.852872\pi$
$107$	−9.89318	+	5.71183i	−0.956410	+	0.552183i	−0.0613436	+	0.998117i	$0.519539\pi$
$108$	−4.74056	+	7.52611i	−0.456161	+	0.724201i
$109$	4.53724	−	7.85873i	0.434589	−	0.752729i	−0.562673	−	0.826679i	$-0.690227\pi$
$109$	4.53724	−	7.85873i	0.434589	−	0.752729i	0.997262	+	0.0739498i	$0.0235605\pi$
$110$	0.786665	−	0.194636i	0.0750056	−	0.0185578i
$111$	−5.10783	+	0.134115i	−0.484814	+	0.0127296i
$112$	−1.06377	+	1.55289i	−0.100517	+	0.146734i
$113$	6.36432	+	3.67444i	0.598705	+	0.345663i	0.768532	−	0.639811i	$-0.220987\pi$
$113$	6.36432	+	3.67444i	0.598705	+	0.345663i	−0.169827	+	0.985474i	$0.554321\pi$
$114$	2.29997	+	2.39028i	0.215412	+	0.223870i
$115$	3.34759	−	1.93273i	0.312164	−	0.180228i
$116$	−9.27820	−	5.84417i	−0.861460	−	0.542618i
$117$	14.2521			1.31761
$118$	−11.6806	+	11.2393i	−1.07528	+	1.03466i
$119$		−	0.197497i		−	0.0181045i
$120$	0.240368	+	1.16163i	0.0219425	+	0.106042i
$121$	9.68274			0.880249
$122$	1.81362	+	7.33017i	0.164197	+	0.663642i
$123$	2.19723	+	1.26857i	0.198117	+	0.114383i
$124$	−7.89498	+	12.5341i	−0.708990	+	1.12559i
$125$	4.86830			0.435434
$126$	−1.46699	−	0.423509i	−0.130690	−	0.0377292i
$127$	3.31142	−	5.73554i	0.293841	−	0.508947i	−0.680874	−	0.732401i	$-0.738400\pi$
$127$	3.31142	−	5.73554i	0.293841	−	0.508947i	0.974715	+	0.223454i	$0.0717331\pi$
$128$	−4.36991	+	10.4357i	−0.386249	+	0.922394i
$129$	−1.05255	+	0.607689i	−0.0926718	+	0.0535041i
$130$	3.16050	−	3.04109i	0.277194	−	0.266722i
$131$	−0.266884	+	0.462257i	−0.0233178	+	0.0403876i	−0.877449	−	0.479670i	$-0.840756\pi$
$131$	−0.266884	+	0.462257i	−0.0233178	+	0.0403876i	0.854131	+	0.520058i	$0.174090\pi$
$132$	0.0742240	−	1.92677i	0.00646037	−	0.167703i
$133$	−0.656993	+	1.13795i	−0.0569685	+	0.0986724i
$134$	13.7368	−	3.39874i	1.18668	−	0.293606i
$135$	−1.92297	+	1.11023i	−0.165503	+	0.0955530i
$136$	−0.240537	−	1.16244i	−0.0206259	−	0.0996787i
$137$	−5.65304			−0.482972			−0.241486	−	0.970404i	$-0.577635\pi$
$137$	−5.65304			−0.482972			−0.241486	+	0.970404i	$0.577635\pi$
$138$	−2.20898	−	8.92809i	−0.188040	−	0.760009i
$139$	17.4673	+	10.0847i	1.48156	+	0.855376i	0.999781	−	0.0209193i	$-0.00665930\pi$
$139$	17.4673	+	10.0847i	1.48156	+	0.855376i	0.481774	+	0.876296i	$0.339993\pi$
$140$	−0.415683	+	0.219108i	−0.0351316	+	0.0185180i
$141$	−0.300385	+	0.173427i	−0.0252969	+	0.0146052i
$142$	1.94032	+	7.84225i	0.162828	+	0.658107i
$143$	−6.17418	+	3.56467i	−0.516311	+	0.298092i
$144$	−9.15033	−	0.706036i	−0.762527	−	0.0588364i
$145$	−1.36869	−	2.37064i	−0.113663	−	0.196871i
$146$	−6.91650	−	1.99674i	−0.572414	−	0.165252i
$147$		−	5.69406i		−	0.469639i
$148$	−5.95322	−	10.6094i	−0.489351	−	0.872087i
$149$			22.0781i			1.80871i	0.426783	+	0.904354i	$0.359647\pi$
$149$			22.0781i			1.80871i	−0.426783	+	0.904354i	$0.640353\pi$
$150$	1.56535	−	5.42221i	0.127811	−	0.442722i
$151$	4.93283	+	8.54392i	0.401428	+	0.695294i	0.993899	−	0.110298i	$-0.0351806\pi$
$151$	4.93283	+	8.54392i	0.401428	+	0.695294i	−0.592470	+	0.805592i	$0.701847\pi$
$152$	−2.48105	+	7.49798i	−0.201239	+	0.608166i
$153$	0.833925	−	0.481467i	0.0674189	−	0.0389243i
$154$	0.741444	−	0.183447i	0.0597473	−	0.0147826i
$155$	−3.20252	+	1.84898i	−0.257233	+	0.148514i
$156$	−4.86616	−	9.23188i	−0.389605	−	0.739142i
$157$	−1.42690	−	0.823821i	−0.113879	−	0.0657481i	0.441979	−	0.897026i	$-0.354277\pi$
$157$	−1.42690	−	0.823821i	−0.113879	−	0.0657481i	−0.555858	+	0.831278i	$0.687610\pi$
$158$	9.32353	−	2.30681i	0.741740	−	0.183520i
$159$	−6.68974			−0.530531
$160$	−2.17980	+	1.79592i	−0.172328	+	0.141980i
$161$	3.15515	−	1.82163i	0.248661	−	0.143564i
$162$	−1.06902	−	4.32071i	−0.0839905	−	0.339467i
$163$	10.1821	−	17.6358i	0.797520	−	1.38134i	−0.123707	−	0.992319i	$-0.539478\pi$
$163$	10.1821	−	17.6358i	0.797520	−	1.38134i	0.921227	−	0.389026i	$-0.127188\pi$
$164$	−0.232532	+	6.03625i	−0.0181577	+	0.471352i
$165$	0.240675	−	0.416862i	0.0187366	−	0.0324527i
$166$	13.0137	+	13.5247i	1.01006	+	1.04972i
$167$	5.22741	−	3.01805i	0.404509	−	0.233544i	−0.283919	−	0.958848i	$-0.591635\pi$
$167$	5.22741	−	3.01805i	0.404509	−	0.233544i	0.688428	+	0.725305i	$0.258301\pi$
$168$	0.226551	+	1.09485i	0.0174788	+	0.0844697i
$169$	−12.7928	+	22.1578i	−0.984064	+	1.70445i
$170$	0.0821939	−	0.284711i	0.00630398	−	0.0218363i
$171$	−6.40659			−0.489924
$172$	−2.44848	−	1.54226i	−0.186695	−	0.117596i
$173$	2.78685	+	1.60899i	0.211880	+	0.122329i	0.602185	−	0.798357i	$-0.294297\pi$
$173$	2.78685	+	1.60899i	0.211880	+	0.122329i	−0.390305	+	0.920686i	$0.627630\pi$
$174$	−6.32254	+	1.56431i	−0.479311	+	0.118590i
$175$	2.23558			0.168994
$176$	4.14063	−	1.98277i	0.312111	−	0.149457i
$177$			9.62824i			0.723703i
$178$	−11.3763	−	11.8229i	−0.852687	−	0.886167i
$179$	−9.92175			−0.741586			−0.370793	−	0.928715i	$-0.620914\pi$
$179$	−9.92175			−0.741586			−0.370793	+	0.928715i	$0.620914\pi$
$180$	−1.93855	−	1.22106i	−0.144491	−	0.0910122i
$181$	11.4409	−	6.60542i	0.850397	−	0.490977i	−0.0103880	−	0.999946i	$-0.503307\pi$
$181$	11.4409	−	6.60542i	0.850397	−	0.490977i	0.860785	+	0.508969i	$0.169973\pi$
$182$	2.97882	−	2.86628i	0.220805	−	0.212463i
$183$	3.88433	+	2.24262i	0.287138	+	0.165779i
$184$	16.3522	−	14.5646i	1.20550	−	1.07372i
$185$	−0.0797136	−	3.03593i	−0.00586066	−	0.223206i
$186$	2.11325	+	8.54121i	0.154951	+	0.626272i
$187$	−0.240845	+	0.417155i	−0.0176123	+	0.0305054i
$188$	−0.698767	−	0.440141i	−0.0509628	−	0.0321006i
$189$	−1.81243	+	1.04640i	−0.131835	+	0.0761148i
$190$	−1.42071	+	1.36703i	−0.103069	+	0.0991748i
$191$		−	12.1287i		−	0.877599i	−0.898585	−	0.438800i	$-0.855404\pi$
$191$		−	12.1287i		−	0.877599i	0.898585	−	0.438800i	$-0.144596\pi$
$192$	2.66690	+	6.16824i	0.192467	+	0.445155i
$193$			10.8801i			0.783167i	0.920143	+	0.391584i	$0.128073\pi$
$193$			10.8801i			0.783167i	−0.920143	+	0.391584i	$0.871927\pi$
$194$	−3.28270	+	11.3709i	−0.235684	+	0.816383i
$195$		−	2.60519i		−	0.186561i
$196$	11.9930	−	6.32158i	0.856646	−	0.451542i
$197$	14.2206	+	8.21024i	1.01317	+	0.584956i	0.912119	−	0.409925i	$-0.134445\pi$
$197$	14.2206	+	8.21024i	1.01317	+	0.584956i	0.101054	+	0.994881i	$0.467779\pi$
$198$	2.58213	+	2.68351i	0.183504	+	0.190709i
$199$			0.188747i			0.0133799i	0.999978	+	0.00668996i	$0.00212950\pi$
$199$			0.188747i			0.0133799i	−0.999978	+	0.00668996i	$0.997871\pi$
$200$	13.1583	−	2.72277i	0.930434	−	0.192529i
$201$	4.20269	−	7.27927i	0.296435	−	0.513440i
$202$	1.95794	−	6.78211i	0.137761	−	0.477187i
$203$	−1.29001	−	2.23436i	−0.0905409	−	0.156822i
$204$	−0.596604	−	0.375790i	−0.0417707	−	0.0263106i
$205$	−0.753997	+	1.30596i	−0.0526615	+	0.0912123i
$206$	−3.20383	+	11.0977i	−0.223222	+	0.773215i
$207$	15.3836	+	8.88170i	1.06923	+	0.617321i
$208$	14.0421	−	20.4986i	0.973642	−	1.42132i
$209$	2.77541	−	1.60239i	0.191979	−	0.110839i
$210$	−0.0774146	+	0.268156i	−0.00534212	+	0.0185045i
$211$		−	8.56666i		−	0.589753i	−0.955535	−	0.294877i	$-0.904721\pi$
$211$		−	8.56666i		−	0.589753i	0.955535	−	0.294877i	$-0.0952786\pi$
$212$	−7.42699	−	14.0902i	−0.510088	−	0.967717i
$213$	4.15569	+	2.39929i	0.284743	+	0.164397i
$214$	−15.6826	+	3.88017i	−1.07204	+	0.265243i
$215$	−0.361191	−	0.625602i	−0.0246330	−	0.0426657i
$216$	−9.39328	+	8.36642i	−0.639132	+	0.569263i
$217$	−3.01843	+	1.74269i	−0.204904	+	0.118302i
$218$	9.24748	−	8.89811i	0.626319	−	0.602656i
$219$	−3.70314	+	2.13801i	−0.250235	+	0.144473i
$220$	1.14521	+	0.0441164i	0.0772100	+	0.00297433i
$221$			2.60702i			0.175367i
$222$	−6.99275	−	1.82134i	−0.469322	−	0.122241i
$223$	−0.300028			−0.0200913			−0.0100457	−	0.999950i	$-0.503198\pi$
$223$	−0.300028			−0.0200913			−0.0100457	+	0.999950i	$0.503198\pi$
$224$	−2.05450	+	1.69268i	−0.137272	+	0.113097i
$225$	5.44999	+	9.43965i	0.363332	+	0.629310i
$226$	7.20606	+	7.48900i	0.479340	+	0.498161i
$227$	−7.13138	−	12.3519i	−0.473327	−	0.819826i	0.526207	−	0.850356i	$-0.323614\pi$
$227$	−7.13138	−	12.3519i	−0.473327	−	0.819826i	−0.999534	+	0.0305307i	$0.990280\pi$
$228$	2.18743	+	4.14991i	0.144866	+	0.274834i
$229$	−17.1515	+	9.90243i	−1.13340	+	0.654371i	−0.944789	−	0.327680i	$-0.893733\pi$
$229$	−17.1515	+	9.90243i	−1.13340	+	0.654371i	−0.188615	+	0.982051i	$0.560400\pi$
$230$	5.30657	−	1.31295i	0.349905	−	0.0865730i
$231$	0.226840	−	0.392899i	0.0149250	−	0.0258509i
$232$	−10.3141	−	11.5800i	−0.677156	−	0.760267i
$233$	−12.5136			−0.819792			−0.409896	−	0.912132i	$-0.634435\pi$
$233$	−12.5136			−0.819792			−0.409896	+	0.912132i	$0.634435\pi$
$234$	19.3647	+	5.59044i	1.26591	+	0.365459i
$235$	−0.103080	−	0.178539i	−0.00672417	−	0.0116466i
$236$	−20.2793	+	10.6893i	−1.32007	+	0.695816i
$237$	2.85248	−	4.94063i	0.185288	−	0.320929i
$238$	0.0774690	−	0.268344i	0.00502157	−	0.0173942i
$239$	−16.6694	−	9.62406i	−1.07825	−	0.622529i	−0.147827	−	0.989013i	$-0.547228\pi$
$239$	−16.6694	−	9.62406i	−1.07825	−	0.622529i	−0.930424	+	0.366484i	$0.880561\pi$
$240$	−0.129059	+	1.67262i	−0.00833070	+	0.107967i
$241$	23.8525	−	13.7713i	1.53648	−	0.887085i	0.537435	−	0.843305i	$-0.319393\pi$
$241$	23.8525	−	13.7713i	1.53648	−	0.887085i	0.999041	−	0.0437793i	$-0.0139398\pi$
$242$	13.1562	+	3.79810i	0.845712	+	0.244151i
$243$	−13.8441	−	7.99290i	−0.888101	−	0.512745i
$244$	−0.411078	+	10.6711i	−0.0263166	+	0.683147i
$245$	3.38437			0.216220
$246$	2.48783	+	2.58551i	0.158618	+	0.164846i
$247$	8.67250	−	15.0212i	0.551818	−	0.955777i
$248$	−15.6436	+	13.9335i	−0.993373	+	0.884779i
$249$	11.1483			0.706496
$250$	6.61469	+	1.90961i	0.418350	+	0.120775i
$251$	−11.6728			−0.736782			−0.368391	−	0.929671i	$-0.620091\pi$
$251$	−11.6728			−0.736782			−0.368391	+	0.929671i	$0.620091\pi$
$252$	−1.82711	−	1.15087i	−0.115097	−	0.0724977i
$253$	−8.88579			−0.558645
$254$	6.74910	−	6.49411i	0.423476	−	0.407477i
$255$	−0.0880089	−	0.152436i	−0.00551133	−	0.00954591i
$256$	−10.0310	+	12.4651i	−0.626935	+	0.779071i
$257$	−14.2286	−	8.21487i	−0.887554	−	0.512430i	−0.0144125	−	0.999896i	$-0.504588\pi$
$257$	−14.2286	−	8.21487i	−0.887554	−	0.512430i	−0.873142	+	0.487467i	$0.837921\pi$
$258$	−1.66849	+	0.412816i	−0.103876	+	0.0257008i
$259$	−0.0751314	−	2.86141i	−0.00466844	−	0.177800i
$260$	5.48714	−	2.89229i	0.340298	−	0.179372i
$261$	6.28969	−	10.8941i	0.389322	−	0.674325i
$262$	−0.543945	+	0.523395i	−0.0336051	+	0.0323354i
$263$	4.66110	+	8.07326i	0.287416	+	0.497818i	0.973192	−	0.229994i	$-0.0738706\pi$
$263$	4.66110	+	8.07326i	0.287416	+	0.497818i	−0.685776	+	0.727812i	$0.740537\pi$
$264$	0.856632	−	2.58883i	0.0527221	−	0.159332i
$265$		−	3.97617i		−	0.244254i
$266$	−1.33904	+	1.28845i	−0.0821017	+	0.0789998i
$267$	−9.74560			−0.596421
$268$	19.9977	+	0.770363i	1.22155	+	0.0470574i
$269$			19.2317i			1.17258i	0.810103	+	0.586288i	$0.199411\pi$
$269$			19.2317i			1.17258i	−0.810103	+	0.586288i	$0.800589\pi$
$270$	−3.04828	+	0.754200i	−0.185512	+	0.0458991i
$271$	7.72293	−	13.3765i	0.469135	−	0.812565i	−0.530243	−	0.847846i	$-0.677899\pi$
$271$	7.72293	−	13.3765i	0.469135	−	0.812565i	0.999377	+	0.0352809i	$0.0112326\pi$
$272$	0.129149	−	1.67379i	0.00783083	−	0.101489i
$273$		−	2.45543i		−	0.148609i
$274$	−7.68093	−	2.21743i	−0.464022	−	0.133960i
$275$	−4.72200	−	2.72625i	−0.284747	−	0.164399i
$276$	0.500690	−	12.9973i	0.0301380	−	0.782346i
$277$	−0.229440	−	0.397402i	−0.0137857	−	0.0238776i	0.859050	−	0.511891i	$-0.171055\pi$
$277$	−0.229440	−	0.397402i	−0.0137857	−	0.0238776i	−0.872836	+	0.488014i	$0.837722\pi$
$278$	19.7775	+	20.5540i	1.18617	+	1.23275i
$279$	−14.7169	−	8.49683i	−0.881080	−	0.508692i
$280$	−0.650745	+	0.134655i	−0.0388895	+	0.00804716i
$281$	−8.44006	−	4.87287i	−0.503492	−	0.290691i	0.226663	−	0.973973i	$-0.427219\pi$
$281$	−8.44006	−	4.87287i	−0.503492	−	0.290691i	−0.730154	+	0.683282i	$0.760552\pi$
$282$	−0.476168	+	0.117813i	−0.0283554	+	0.00701565i
$283$	−5.24831	−	9.09033i	−0.311979	−	0.540364i	0.666811	−	0.745227i	$-0.267659\pi$
$283$	−5.24831	−	9.09033i	−0.311979	−	0.540364i	−0.978791	+	0.204862i	$0.934325\pi$
$284$	−0.439796	+	11.4166i	−0.0260971	+	0.677449i
$285$			1.17108i			0.0693689i
$286$	−9.78728	+	2.42155i	−0.578734	+	0.143190i
$287$	−0.710654	+	1.23089i	−0.0419486	+	0.0726571i
$288$	−12.1558	−	4.54857i	−0.716290	−	0.268027i
$289$	−8.41193	−	14.5699i	−0.494819	−	0.857052i
$290$	−0.929779	−	3.75792i	−0.0545985	−	0.220673i
$291$	3.51494	+	6.08806i	0.206050	+	0.356888i
$292$	−8.61440	−	5.42606i	−0.504120	−	0.317536i
$293$	−8.07314	+	4.66103i	−0.471638	+	0.272300i	−0.716925	−	0.697150i	$-0.754451\pi$
$293$	−8.07314	+	4.66103i	−0.471638	+	0.272300i	0.245287	+	0.969450i	$0.421118\pi$
$294$	2.23352	−	7.73667i	0.130262	−	0.451212i
$295$	−5.72272			−0.333190
$296$	−3.92721	−	16.7504i	−0.228265	−	0.973599i
$297$	5.10430			0.296181
$298$	−8.66023	+	29.9981i	−0.501674	+	1.73774i
$299$	−41.6489	+	24.0460i	−2.40862	+	1.39062i
$300$	4.25377	−	6.75329i	0.245592	−	0.389901i
$301$	−0.340429	−	0.589640i	−0.0196220	−	0.0339863i
$302$	3.35098	+	13.5438i	0.192827	+	0.779356i
$303$	−2.09647	−	3.63119i	−0.120439	−	0.208606i
$304$	−6.31218	+	9.21450i	−0.362028	+	0.528488i
$305$	−1.33294	+	2.30873i	−0.0763241	+	0.132197i
$306$	1.32193	−	0.327071i	0.0755699	−	0.0186974i
$307$		−	20.0139i		−	1.14225i	−0.820862	−	0.571126i	$-0.806507\pi$
$307$		−	20.0139i		−	1.14225i	0.820862	−	0.571126i	$-0.193493\pi$
$308$	1.07938	+	0.0415804i	0.0615032	+	0.00236926i
$309$	3.43050	+	5.94179i	0.195154	+	0.338017i
$310$	−5.07662	+	1.25605i	−0.288333	+	0.0713389i
$311$	−25.0811	−	14.4806i	−1.42222	−	0.821120i	−0.425732	−	0.904849i	$-0.639984\pi$
$311$	−25.0811	−	14.4806i	−1.42222	−	0.821120i	−0.996489	+	0.0837295i	$0.973317\pi$
$312$	−2.99054	−	14.4524i	−0.169306	−	0.818204i
$313$	2.49143	+	1.43843i	0.140824	+	0.0813046i	0.568757	−	0.822506i	$-0.307425\pi$
$313$	2.49143	+	1.43843i	0.140824	+	0.0813046i	−0.427933	+	0.903811i	$0.640758\pi$
$314$	−1.61562	−	1.67906i	−0.0911746	−	0.0947546i
$315$	−0.269529	−	0.466838i	−0.0151863	−	0.0263034i
$316$	13.5730	+	0.522866i	0.763540	+	0.0294135i
$317$	−7.46736	−	4.31129i	−0.419409	−	0.242146i	0.275415	−	0.961325i	$-0.411185\pi$
$317$	−7.46736	−	4.31129i	−0.419409	−	0.242146i	−0.694824	+	0.719179i	$0.744518\pi$
$318$	−9.08953	−	2.62408i	−0.509715	−	0.147151i
$319$			6.29259i			0.352317i
$320$	−3.66621	+	1.58512i	−0.204947	+	0.0886110i
$321$	−4.79800	+	8.31038i	−0.267798	+	0.463840i
$322$	5.00153	−	1.23747i	0.278724	−	0.0689616i
$323$		−	1.17190i		−	0.0652065i
$324$	0.242307	−	6.28999i	0.0134615	−	0.349444i
$325$	−29.5102			−1.63693
$326$	20.7523	−	19.9683i	1.14937	−	1.10594i
$327$		−	7.62266i		−	0.421534i
$328$	−2.68369	+	8.11039i	−0.148182	+	0.447822i
$329$	−0.0971542	−	0.168276i	−0.00535628	−	0.00927735i
$330$	0.490528	−	0.471995i	0.0270027	−	0.0259825i
$331$	−4.15111	+	7.18994i	−0.228166	+	0.395195i	−0.957265	−	0.289214i	$-0.906606\pi$
$331$	−4.15111	+	7.18994i	−0.228166	+	0.395195i	0.729099	+	0.684408i	$0.239939\pi$
$332$	12.3769	+	23.4810i	0.679272	+	1.28869i
$333$	11.8991	−	7.29292i	0.652066	−	0.399650i
$334$	8.28646	−	2.05022i	0.453415	−	0.112183i
$335$	4.32657	+	2.49795i	0.236386	+	0.136477i
$336$	−0.121640	+	1.57647i	−0.00663600	+	0.0860035i
$337$	−10.8934	−	18.8680i	−0.593402	−	1.02780i	−0.993770	−	0.111448i	$-0.964451\pi$
$337$	−10.8934	−	18.8680i	−0.593402	−	1.02780i	0.400368	−	0.916354i	$-0.368882\pi$
$338$	−26.0735	+	25.0884i	−1.41821	+	1.36463i
$339$	6.17315			0.335279
$340$	0.223358	−	0.354603i	0.0121133	−	0.0192310i
$341$	8.50074			0.460341
$342$	−8.70480	−	2.51301i	−0.470702	−	0.135888i
$343$	6.48386			0.350095
$344$	−2.72186	−	3.05593i	−0.146753	−	0.164765i
$345$	1.62351	−	2.81201i	0.0874071	−	0.151394i
$346$	3.15543	+	3.27933i	0.169637	+	0.176298i
$347$	−1.00199			−0.0537898			−0.0268949	−	0.999638i	$-0.508562\pi$
$347$	−1.00199			−0.0537898			−0.0268949	+	0.999638i	$0.508562\pi$
$348$	−9.20421	−	0.354570i	−0.493397	−	0.0190069i
$349$	16.2509	+	9.38245i	0.869890	+	0.502231i	0.867312	−	0.497766i	$-0.165846\pi$
$349$	16.2509	+	9.38245i	0.869890	+	0.502231i	0.00257815	+	0.999997i	$0.499179\pi$
$350$	3.03753	+	0.876914i	0.162363	+	0.0468730i
$351$	23.9246	−	13.8128i	1.27700	−	0.737275i
$352$	6.40373	−	1.06987i	0.341320	−	0.0570241i
$353$	−21.8311	−	12.6042i	−1.16195	−	0.670855i	−0.210183	−	0.977662i	$-0.567406\pi$
$353$	−21.8311	−	12.6042i	−1.16195	−	0.670855i	−0.951772	+	0.306808i	$0.900739\pi$
$354$	−3.77672	+	13.0821i	−0.200730	+	0.695308i
$355$	−1.42606	+	2.47001i	−0.0756875	+	0.131095i
$356$	−10.8196	−	20.5265i	−0.573439	−	1.08790i
$357$	−0.0829498	−	0.143673i	−0.00439017	−	0.00760400i
$358$	−13.4809	−	3.89185i	−0.712490	−	0.205691i
$359$	33.6660			1.77682			0.888412	−	0.459047i	$-0.151809\pi$
$359$	33.6660			1.77682			0.888412	+	0.459047i	$0.151809\pi$
$360$	−2.15499	−	2.41949i	−0.113578	−	0.127518i
$361$	5.60155	−	9.70216i	0.294818	−	0.510640i
$362$	18.1361	−	4.48720i	0.953211	−	0.235842i
$363$	7.04391	−	4.06680i	0.369710	−	0.213452i
$364$	5.17171	−	2.72603i	0.271071	−	0.142883i
$365$	−1.27077	−	2.20103i	−0.0665149	−	0.115207i
$366$	4.39807	+	4.57076i	0.229891	+	0.238917i
$367$	13.2260	+	22.9081i	0.690392	+	1.19579i	0.971710	+	0.236179i	$0.0758952\pi$
$367$	13.2260	+	22.9081i	0.690392	+	1.19579i	−0.281318	+	0.959615i	$0.590771\pi$
$368$	27.9313	−	13.3751i	1.45602	−	0.697226i
$369$	−6.92986			−0.360754
$370$	1.08255	−	4.15627i	0.0562790	−	0.216074i
$371$		−	3.74760i		−	0.194566i
$372$	−0.478994	+	12.4341i	−0.0248347	+	0.644678i
$373$	−11.5090	+	6.64475i	−0.595916	+	0.344052i	−0.767433	−	0.641129i	$-0.778466\pi$
$373$	−11.5090	+	6.64475i	−0.595916	+	0.344052i	0.171517	+	0.985181i	$0.445133\pi$
$374$	−0.490873	+	0.472327i	−0.0253824	+	0.0244234i
$375$	3.54155	−	2.04471i	0.182885	−	0.105589i
$376$	−0.776786	−	0.872125i	−0.0400597	−	0.0449764i
$377$	17.0285	+	29.4942i	0.877013	+	1.51903i
$378$	−2.87305	+	0.710845i	−0.147774	+	0.0365619i
$379$	−21.9072	−	12.6481i	−1.12530	−	0.649691i	−0.182550	−	0.983197i	$-0.558435\pi$
$379$	−21.9072	−	12.6481i	−1.12530	−	0.649691i	−0.942748	+	0.333506i	$0.891768\pi$
$380$	−2.46657	+	1.30014i	−0.126533	+	0.0666958i
$381$		−	5.56325i		−	0.285014i
$382$	4.75752	−	16.4795i	0.243416	−	0.843166i
$383$	−20.1182	+	11.6152i	−1.02799	+	0.593510i	−0.916408	−	0.400245i	$-0.868925\pi$
$383$	−20.1182	+	11.6152i	−1.02799	+	0.593510i	−0.111582	+	0.993755i	$0.535592\pi$
$384$	1.20407	+	9.42706i	0.0614449	+	0.481073i
$385$	0.233527	+	0.134827i	0.0119016	+	0.00687141i
$386$	−4.26777	+	14.7831i	−0.217224	+	0.752439i
$387$	1.65982	−	2.87490i	0.0843736	−	0.146139i
$388$	−8.92057	+	14.1623i	−0.452873	+	0.718981i
$389$	−6.88172	−	11.9195i	−0.348917	−	0.604342i	0.637140	−	0.770748i	$-0.280117\pi$
$389$	−6.88172	−	11.9195i	−0.348917	−	0.604342i	−0.986057	+	0.166406i	$0.946784\pi$
$390$	1.02190	−	3.53973i	0.0517457	−	0.179241i
$391$	−1.62466	+	2.81399i	−0.0821624	+	0.142309i
$392$	18.7749	−	3.88498i	0.948277	−	0.196221i
$393$			0.448372i			0.0226174i
$394$	16.1013	+	16.7335i	0.811174	+	0.843024i
$395$	2.93656	+	1.69542i	0.147754	+	0.0853059i
$396$	2.45578	+	4.65901i	0.123408	+	0.234124i
$397$			7.87786i			0.395378i	0.980265	+	0.197689i	$0.0633437\pi$
$397$			7.87786i			0.395378i	−0.980265	+	0.197689i	$0.936656\pi$
$398$	−0.0740368	+	0.256455i	−0.00371113	+	0.0128549i
$399$			1.10376i			0.0552573i
$400$	18.9466	+	1.46191i	0.947329	+	0.0730956i
$401$			28.1711i			1.40680i	0.710795	+	0.703399i	$0.248335\pi$
$401$			28.1711i			1.40680i	−0.710795	+	0.703399i	$0.751665\pi$
$402$	8.56563	−	8.24201i	0.427215	−	0.411074i
$403$	39.8442	−	23.0040i	1.98478	−	1.14591i
$404$	5.32062	−	8.44701i	0.264711	−	0.420255i
$405$	0.785693	−	1.36086i	0.0390414	−	0.0676217i
$406$	−0.876332	−	3.54190i	−0.0434916	−	0.175781i
$407$	−3.33076	+	6.13553i	−0.165100	+	0.304127i
$408$	−0.663216	−	0.744617i	−0.0328341	−	0.0368640i
$409$	−30.1621	−	17.4141i	−1.49142	−	0.861070i	−0.491466	−	0.870897i	$-0.663539\pi$
$409$	−30.1621	−	17.4141i	−1.49142	−	0.861070i	−0.999952	+	0.00982636i	$0.996872\pi$
$410$	−1.53674	+	1.47869i	−0.0758944	+	0.0730271i
$411$	−4.11242	+	2.37431i	−0.202851	+	0.117116i
$412$	−8.70626	+	13.8220i	−0.428927	+	0.680963i
$413$	−5.39376			−0.265409
$414$	17.4181	+	18.1021i	0.856055	+	0.889668i
$415$			6.62621i			0.325268i
$416$	27.1200	−	22.3439i	1.32967	−	1.09550i
$417$	16.9426			0.829682
$418$	4.39957	−	1.08854i	0.215190	−	0.0532420i
$419$	6.67879	+	3.85600i	0.326280	+	0.188378i	0.654188	−	0.756332i	$-0.273010\pi$
$419$	6.67879	+	3.85600i	0.326280	+	0.188378i	−0.327908	+	0.944710i	$0.606344\pi$
$420$	−0.210371	+	0.333984i	−0.0102650	+	0.0162968i
$421$	12.1517			0.592237			0.296118	−	0.955151i	$-0.404308\pi$
$421$	12.1517			0.592237			0.296118	+	0.955151i	$0.404308\pi$
$422$	3.36031	−	11.6397i	0.163577	−	0.566614i
$423$	0.473694	−	0.820461i	0.0230318	−	0.0398922i
$424$	−4.56431	−	22.0579i	−0.221663	−	1.07123i
$425$	−1.72672	+	0.996921i	−0.0837581	+	0.0483578i
$426$	4.70532	+	4.89007i	0.227973	+	0.236925i
$427$	−1.25632	+	2.17601i	−0.0607976	+	0.105305i
$428$	−22.8304	−	0.879486i	−1.10355	−	0.0425115i
$429$	−2.99436	+	5.18638i	−0.144569	+	0.250401i
$430$	−0.245365	−	0.991700i	−0.0118326	−	0.0478240i
$431$	0.881212	−	0.508768i	0.0424465	−	0.0245065i	−0.478627	−	0.878019i	$-0.658865\pi$
$431$	0.881212	−	0.508768i	0.0424465	−	0.0245065i	0.521073	+	0.853512i	$0.325532\pi$
$432$	−16.0447	+	7.68312i	−0.771949	+	0.369654i
$433$	20.6777			0.993707			0.496854	−	0.867834i	$-0.334489\pi$
$433$	20.6777			0.993707			0.496854	+	0.867834i	$0.334489\pi$
$434$	−4.78480	+	1.18385i	−0.229678	+	0.0568265i
$435$	−1.99136	−	1.14971i	−0.0954784	−	0.0551245i
$436$	16.0551	−	8.46272i	0.768901	−	0.405291i
$437$	18.7220	−	10.8092i	0.895595	−	0.517072i
$438$	−5.87020	+	1.45240i	−0.280489	+	0.0693982i
$439$	−27.5320	+	15.8956i	−1.31403	+	0.758655i	−0.982761	−	0.184881i	$-0.940810\pi$
$439$	−27.5320	+	15.8956i	−1.31403	+	0.758655i	−0.331269	+	0.943536i	$0.607477\pi$
$440$	1.53872	+	0.509155i	0.0733556	+	0.0242730i
$441$	7.77630	+	13.4689i	0.370300	+	0.641378i
$442$	−1.02261	+	3.54222i	−0.0486408	+	0.168486i
$443$			22.1773i			1.05368i	0.849965	+	0.526839i	$0.176623\pi$
$443$			22.1773i			1.05368i	−0.849965	+	0.526839i	$0.823377\pi$
$444$	−8.78680	−	5.21764i	−0.417003	−	0.247618i
$445$		−	5.79248i		−	0.274590i
$446$	−0.407656	−	0.117687i	−0.0193031	−	0.00557265i
$447$	9.27292	+	16.0612i	0.438594	+	0.759668i
$448$	−3.45546	+	1.49400i	−0.163255	+	0.0705850i
$449$	23.2259	−	13.4095i	1.09610	−	0.632833i	0.160906	−	0.986970i	$-0.448558\pi$
$449$	23.2259	−	13.4095i	1.09610	−	0.632833i	0.935194	+	0.354136i	$0.115225\pi$
$450$	3.70229	+	14.9637i	0.174528	+	0.705395i
$451$	3.00210	−	1.73326i	0.141363	−	0.0816162i
$452$	6.85346	+	13.0021i	0.322360	+	0.611567i
$453$	7.17698	+	4.14363i	0.337204	+	0.194685i
$454$	−4.84450	−	19.5802i	−0.227364	−	0.918944i
$455$	1.45943			0.0684191
$456$	1.34430	+	6.49662i	0.0629528	+	0.304232i
$457$	21.9187	−	12.6548i	1.02532	−	0.591966i	0.109676	−	0.993967i	$-0.465019\pi$
$457$	21.9187	−	12.6548i	1.02532	−	0.591966i	0.915639	+	0.402001i	$0.131685\pi$
$458$	−27.1885	+	6.72694i	−1.27043	+	0.314329i
$459$	0.933257	−	1.61645i	0.0435607	−	0.0754493i
$460$	7.72519	+	0.297594i	0.360189	+	0.0138754i
$461$	0.344353	−	0.596437i	0.0160381	−	0.0277788i	−0.857895	−	0.513825i	$-0.828228\pi$
$461$	0.344353	−	0.596437i	0.0160381	−	0.0277788i	0.873933	+	0.486046i	$0.161561\pi$
$462$	0.462330	−	0.444863i	0.0215096	−	0.0206969i
$463$	−16.9919	+	9.81026i	−0.789679	+	0.455922i	−0.839850	−	0.542819i	$-0.817357\pi$
$463$	−16.9919	+	9.81026i	−0.789679	+	0.455922i	0.0501704	+	0.998741i	$0.484024\pi$
$464$	−9.47176	−	19.7799i	−0.439715	−	0.918258i
$465$	−1.55316	+	2.69016i	−0.0720262	+	0.124753i
$466$	−17.0025	−	4.90851i	−0.787627	−	0.227382i
$467$	21.6680			1.00268			0.501338	−	0.865252i	$-0.332841\pi$
$467$	21.6680			1.00268			0.501338	+	0.865252i	$0.332841\pi$
$468$	24.1184	+	15.1918i	1.11487	+	0.702240i
$469$	4.07786	+	2.35435i	0.188298	+	0.108714i
$470$	−0.0700242	−	0.283019i	−0.00322998	−	0.0130547i
$471$	−1.38404			−0.0637731
$472$	−31.7470	+	6.56921i	−1.46127	+	0.302372i
$473$			1.66059i			0.0763540i
$474$	5.81372	−	5.59407i	0.267033	−	0.256944i
$475$	13.2654			0.608659
$476$	0.210518	−	0.334219i	0.00964910	−	0.0153189i
$477$	15.8242	−	9.13608i	0.724538	−	0.418312i
$478$	−18.8740	−	19.6151i	−0.863278	−	0.897174i
$479$	−9.04166	−	5.22020i	−0.413124	−	0.238517i	0.279007	−	0.960289i	$-0.409995\pi$
$479$	−9.04166	−	5.22020i	−0.413124	−	0.238517i	−0.692131	+	0.721772i	$0.743328\pi$
$480$	−0.831447	+	2.22201i	−0.0379502	+	0.101420i
$481$	0.991756	+	37.7715i	0.0452202	+	1.72223i
$482$	37.8109	−	9.35511i	1.72224	−	0.426114i
$483$	1.53019	−	2.65036i	0.0696260	−	0.120596i
$484$	16.3858	+	10.3211i	0.744811	+	0.469143i
$485$	−3.61855	+	2.08917i	−0.164310	+	0.0948643i
$486$	−15.6751	−	16.2906i	−0.711037	−	0.738956i
$487$		−	6.64519i		−	0.301122i	−0.988601	−	0.150561i	$-0.951892\pi$
$487$		−	6.64519i		−	0.301122i	0.988601	−	0.150561i	$-0.0481080\pi$
$488$	−4.74433	+	14.3378i	−0.214766	+	0.649044i
$489$		−	17.1061i		−	0.773563i
$490$	4.59843	+	1.32753i	0.207736	+	0.0599719i
$491$			10.5764i			0.477304i	0.971105	+	0.238652i	$0.0767056\pi$
$491$			10.5764i			0.477304i	−0.971105	+	0.238652i	$0.923294\pi$
$492$	2.36610	+	4.48886i	0.106672	+	0.202373i
$493$	1.99276	+	1.15052i	0.0897494	+	0.0518168i
$494$	17.6757	−	17.0079i	0.795267	−	0.765221i
$495$			1.31475i			0.0590935i
$496$	−26.7209	+	12.7955i	−1.19980	+	0.574536i
$497$	−1.34409	+	2.32803i	−0.0602905	+	0.104426i
$498$	15.1475	+	4.37298i	0.678776	+	0.195958i
$499$	15.5770	+	26.9801i	0.697322	+	1.20780i	0.969392	+	0.245519i	$0.0789585\pi$
$499$	15.5770	+	26.9801i	0.697322	+	1.20780i	−0.272070	+	0.962278i	$0.587708\pi$
$500$	8.23850	+	5.18928i	0.368437	+	0.232072i
$501$	2.53519	−	4.39108i	0.113264	−	0.196179i
$502$	−15.8602	−	4.57871i	−0.707874	−	0.204358i
$503$	29.1988	+	16.8580i	1.30191	+	0.751659i	0.980732	−	0.195359i	$-0.0625873\pi$
$503$	29.1988	+	16.8580i	1.30191	+	0.751659i	0.321180	+	0.947018i	$0.395921\pi$
$504$	−2.03111	−	2.28040i	−0.0904730	−	0.101577i
$505$	2.15826	−	1.24607i	0.0960414	−	0.0554495i
$506$	−12.0734	−	3.48549i	−0.536726	−	0.154949i
$507$			21.4922i			0.954504i
$508$	11.7175	−	6.17636i	0.519881	−	0.274031i
$509$	−6.62597	−	3.82551i	−0.293691	−	0.169563i	0.345914	−	0.938266i	$-0.387569\pi$
$509$	−6.62597	−	3.82551i	−0.293691	−	0.169563i	−0.639605	+	0.768704i	$0.720902\pi$
$510$	−0.0597864	−	0.241641i	−0.00264738	−	0.0107000i
$511$	−1.19772	−	2.07451i	−0.0529839	−	0.0917707i
$512$	−18.5188	+	13.0020i	−0.818425	+	0.574614i
$513$	−10.7545	+	6.20914i	−0.474825	+	0.274140i
$514$	−16.1104	−	16.7430i	−0.710600	−	0.738501i
$515$	−3.53162	+	2.03898i	−0.155622	+	0.0898481i
$516$	−2.42896	−	0.0935697i	−0.106929	−	0.00411917i
$517$			0.473912i			0.0208426i
$518$	1.02032	−	3.91735i	0.0448303	−	0.172118i
$519$	2.70314			0.118655
$520$	8.59003	−	1.77748i	0.376698	−	0.0779477i
$521$	6.90920	+	11.9671i	0.302697	+	0.524287i	0.976746	−	0.214400i	$-0.0687795\pi$
$521$	6.90920	+	11.9671i	0.302697	+	0.524287i	−0.674049	+	0.738687i	$0.735446\pi$
$522$	12.8192	−	12.3349i	0.561081	−	0.539883i
$523$	21.1550	+	36.6416i	0.925045	+	1.60223i	0.791488	+	0.611185i	$0.209307\pi$
$523$	21.1550	+	36.6416i	0.925045	+	1.60223i	0.133557	+	0.991041i	$0.457360\pi$
$524$	−0.944376	+	0.497785i	−0.0412553	+	0.0217458i
$525$	1.62632	−	0.938954i	0.0709783	−	0.0409793i
$526$	3.16638	+	12.7977i	0.138061	+	0.558006i
$527$	1.55425	−	2.69205i	0.0677044	−	0.117267i
$528$	2.17941	−	3.18150i	0.0948466	−	0.138457i
$529$	−36.9405			−1.60611
$530$	1.55967	−	5.40253i	0.0677477	−	0.234671i
$531$	−13.1491	−	22.7750i	−0.570624	−	0.988350i
$532$	−2.32478	+	1.22540i	−0.100792	+	0.0531280i
$533$	9.38084	−	16.2481i	0.406329	−	0.703783i
$534$	−13.2416	−	3.82275i	−0.573020	−	0.165427i
$535$	−4.93943	−	2.85178i	−0.213550	−	0.123293i
$536$	26.8692	+	8.89090i	1.16057	+	0.384028i
$537$	−7.21779	+	4.16719i	−0.311470	+	0.179828i
$538$	−7.54370	+	26.1306i	−0.325232	+	1.12657i
$539$	−6.73758	−	3.88994i	−0.290208	−	0.167552i
$540$	−4.43761	−	0.170948i	−0.190964	−	0.00735644i
$541$	−34.1336			−1.46752			−0.733758	−	0.679411i	$-0.762236\pi$
$541$	−34.1336			−1.46752			−0.733758	+	0.679411i	$0.762236\pi$
$542$	15.7403	−	15.1457i	0.676105	−	0.650562i
$543$	5.54862	−	9.61050i	0.238114	−	0.412426i
$544$	0.832032	−	2.22357i	0.0356731	−	0.0953347i
$545$	4.53067			0.194073
$546$	0.963153	−	3.33626i	0.0412191	−	0.142779i
$547$	27.0461			1.15641			0.578204	−	0.815892i	$-0.303754\pi$
$547$	27.0461			1.15641			0.578204	+	0.815892i	$0.303754\pi$
$548$	−9.56649	−	6.02576i	−0.408660	−	0.257408i
$549$	−12.2509			−0.522854
$550$	−5.34653	−	5.55645i	−0.227977	−	0.236928i
$551$	−7.65464	−	13.2582i	−0.326099	−	0.564819i
$552$	5.77855	−	17.4634i	0.245951	−	0.743291i
$553$	2.76775	+	1.59796i	0.117697	+	0.0679523i
$554$	−0.155864	−	0.629960i	−0.00662202	−	0.0267644i
$555$	−1.33310	−	2.17507i	−0.0565868	−	0.0923267i
$556$	18.8098	+	35.6851i	0.797711	+	1.51338i
$557$	15.0179	−	26.0119i	0.636331	−	1.10216i	−0.349901	−	0.936787i	$-0.613785\pi$
$557$	15.0179	−	26.0119i	0.636331	−	1.10216i	0.986231	−	0.165371i	$-0.0528820\pi$
$558$	−16.6634	−	17.3176i	−0.705416	−	0.733114i
$559$	4.49376	+	7.78341i	0.190066	+	0.329203i
$560$	−0.937004	−	0.0722989i	−0.0395956	−	0.00305519i
$561$			0.404624i			0.0170832i
$562$	−9.55632	−	9.93154i	−0.403109	−	0.418937i
$563$	40.5799			1.71024			0.855119	−	0.518432i	$-0.173484\pi$
$563$	40.5799			1.71024			0.855119	+	0.518432i	$0.173484\pi$
$564$	−0.693194	−	0.0267036i	−0.0291887	−	0.00112443i
$565$			3.66912i			0.154361i
$566$	−3.56529	−	14.4099i	−0.149860	−	0.605695i
$567$	0.740528	−	1.28263i	0.0310993	−	0.0538655i
$568$	−5.07576	+	15.3395i	−0.212974	+	0.643630i
$569$		−	16.5430i		−	0.693518i	−0.937954	−	0.346759i	$-0.887282\pi$
$569$		−	16.5430i		−	0.693518i	0.937954	−	0.346759i	$-0.112718\pi$
$570$	−0.459362	+	1.59118i	−0.0192405	+	0.0666471i
$571$	1.47508	+	0.851636i	0.0617300	+	0.0356399i	0.530547	−	0.847655i	$-0.321986\pi$
$571$	1.47508	+	0.851636i	0.0617300	+	0.0356399i	−0.468817	+	0.883295i	$0.655320\pi$
$572$	−14.2481	−	0.548874i	−0.595743	−	0.0229496i
$573$	−5.09411	−	8.82325i	−0.212809	−	0.368597i
$574$	−1.44841	+	1.39368i	−0.0604553	+	0.0581713i
$575$	−31.8530	−	18.3904i	−1.32836	−	0.766931i
$576$	−14.7323	−	10.9484i	−0.613844	−	0.456185i
$577$	0.231740	+	0.133795i	0.00964747	+	0.00556997i	0.504816	−	0.863227i	$-0.331560\pi$
$577$	0.231740	+	0.133795i	0.00964747	+	0.00556997i	−0.495169	+	0.868797i	$0.664894\pi$
$578$	−5.71440	−	23.0961i	−0.237688	−	0.960671i
$579$	4.56971	+	7.91496i	0.189910	+	0.328935i
$580$	0.210745	−	5.47069i	0.00875072	−	0.227158i
$581$			6.24531i			0.259099i
$582$	2.38778	+	9.65075i	0.0989765	+	0.400037i
$583$	−4.57015	+	7.91573i	−0.189276	+	0.327836i
$584$	−9.57621	−	10.7516i	−0.396267	−	0.444903i
$585$	3.55786	+	6.16240i	0.147100	+	0.254784i
$586$	−12.7975	+	3.16634i	−0.528660	+	0.130800i
$587$	−21.4047	−	37.0741i	−0.883468	−	1.53021i	−0.847459	−	0.530861i	$-0.821869\pi$
$587$	−21.4047	−	37.0741i	−0.883468	−	1.53021i	−0.0360094	−	0.999351i	$-0.511465\pi$
$588$	6.06949	−	9.63591i	0.250301	−	0.397378i
$589$	−17.9107	+	10.3408i	−0.737998	+	0.426084i
$590$	−7.77561	−	2.24476i	−0.320117	−	0.0924154i
$591$	13.7934			0.567384
$592$	1.23443	−	24.2997i	0.0507346	−	0.998712i
$593$	−16.0993			−0.661121			−0.330560	−	0.943785i	$-0.607238\pi$
$593$	−16.0993			−0.661121			−0.330560	+	0.943785i	$0.607238\pi$
$594$	6.93534	+	2.00218i	0.284561	+	0.0821506i
$595$	0.0853949	−	0.0493028i	0.00350085	−	0.00202122i
$596$	−23.5338	+	37.3622i	−0.963980	+	1.53041i
$597$	0.0792748	+	0.137308i	0.00324450	+	0.00561964i
$598$	−66.0217	+	16.3350i	−2.69983	+	0.667987i
$599$	−4.37997	−	7.58634i	−0.178961	−	0.309969i	0.762564	−	0.646913i	$-0.223940\pi$
$599$	−4.37997	−	7.58634i	−0.178961	−	0.309969i	−0.941525	+	0.336943i	$0.890607\pi$
$600$	8.42872	−	7.50731i	0.344101	−	0.306484i
$601$	−22.3879	+	38.7770i	−0.913223	+	1.58175i	−0.103740	+	0.994604i	$0.533081\pi$
$601$	−22.3879	+	38.7770i	−0.913223	+	1.58175i	−0.809483	+	0.587144i	$0.800252\pi$
$602$	−0.231260	−	0.934693i	−0.00942547	−	0.0380953i
$603$			22.9582i			0.934930i
$604$	−0.759538	+	19.7167i	−0.0309052	+	0.802261i
$605$	2.41718	+	4.18668i	0.0982723	+	0.170213i
$606$	−1.42417	−	5.75613i	−0.0578531	−	0.233827i
$607$	−13.6542	−	7.88328i	−0.554208	−	0.319972i	0.196609	−	0.980482i	$-0.437007\pi$
$607$	−13.6542	−	7.88328i	−0.554208	−	0.319972i	−0.750818	+	0.660510i	$0.770340\pi$
$608$	−12.1909	+	10.0440i	−0.494408	+	0.407338i
$609$	−1.87689	−	1.08362i	−0.0760554	−	0.0439106i
$610$	−2.71671	+	2.61407i	−0.109996	+	0.105841i
$611$	1.28246	+	2.22129i	0.0518829	+	0.0898638i
$612$	1.92444	+	0.0741344i	0.0777909	+	0.00299671i
$613$	−27.4452	−	15.8455i	−1.10850	−	0.639993i	−0.170060	−	0.985434i	$-0.554396\pi$
$613$	−27.4452	−	15.8455i	−1.10850	−	0.639993i	−0.938441	+	0.345441i	$0.887729\pi$
$614$	7.85053	−	27.1934i	0.316822	−	1.09744i
$615$			1.26673i			0.0510796i
$616$	1.45027	+	0.479887i	0.0584330	+	0.0193352i
$617$	21.4334	−	37.1238i	0.862878	−	1.49455i	−0.00626123	−	0.999980i	$-0.501993\pi$
$617$	21.4334	−	37.1238i	0.862878	−	1.49455i	0.869139	−	0.494568i	$-0.164674\pi$
$618$	2.33041	+	9.41890i	0.0937429	+	0.378884i
$619$			26.9176i			1.08191i	0.841052	+	0.540954i	$0.181937\pi$
$619$			26.9176i			1.08191i	−0.841052	+	0.540954i	$0.818063\pi$
$620$	−7.39043	−	0.284699i	−0.296807	−	0.0114338i
$621$	34.4319			1.38170
$622$	−28.3983	−	29.5134i	−1.13867	−	1.18338i
$623$		−	5.45950i		−	0.218730i
$624$	1.60568	−	20.8099i	0.0642787	−	0.833061i
$625$	−10.6615	−	18.4663i	−0.426460	−	0.738650i
$626$	2.82094	+	2.93170i	0.112747	+	0.117174i
$627$	1.34602	−	2.33138i	0.0537549	−	0.0931063i
$628$	−1.53657	−	2.91511i	−0.0613157	−	0.116326i
$629$	1.33403	+	2.17660i	0.0531914	+	0.0867867i
$630$	−0.183097	−	0.740029i	−0.00729476	−	0.0294835i
$631$	−4.29512	−	2.47979i	−0.170986	−	0.0987189i	0.412065	−	0.911155i	$-0.364808\pi$
$631$	−4.29512	−	2.47979i	−0.170986	−	0.0987189i	−0.583051	+	0.812436i	$0.698141\pi$
$632$	18.2369	+	6.03449i	0.725423	+	0.240039i
$633$	−3.59805	−	6.23200i	−0.143009	−	0.247700i
$634$	−8.45498	−	8.78696i	−0.335790	−	0.348975i
$635$	3.30662			0.131219
$636$	−11.3209	−	7.13081i	−0.448902	−	0.282755i
$637$	−42.1066			−1.66832
$638$	−2.46830	+	8.54990i	−0.0977208	+	0.338494i
$639$	−13.1067			−0.518493
$640$	−5.60315	+	0.715661i	−0.221484	+	0.0282890i
$641$	19.5007	−	33.7763i	0.770233	−	1.33408i	−0.167202	−	0.985923i	$-0.553473\pi$
$641$	19.5007	−	33.7763i	0.770233	−	1.33408i	0.937435	−	0.348160i	$-0.113194\pi$
$642$	−9.77895	+	9.40950i	−0.385944	+	0.371363i
$643$	15.4140			0.607869			0.303935	−	0.952693i	$-0.401700\pi$
$643$	15.4140			0.607869			0.303935	+	0.952693i	$0.401700\pi$
$644$	7.28111	+	0.280487i	0.286916	+	0.0110528i
$645$	−0.525512	−	0.303405i	−0.0206920	−	0.0119466i
$646$	0.459685	−	1.59230i	0.0180860	−	0.0626481i
$647$	−15.7881	+	9.11524i	−0.620693	+	0.358357i	−0.777139	−	0.629329i	$-0.783330\pi$
$647$	−15.7881	+	9.11524i	−0.620693	+	0.358357i	0.156446	+	0.987687i	$0.449996\pi$
$648$	2.79651	−	8.45133i	0.109857	−	0.332000i
$649$	11.3927	+	6.57760i	0.447204	+	0.258193i
$650$	−40.0963	−	11.5755i	−1.57271	−	0.454029i
$651$	−1.46388	+	2.53552i	−0.0573740	+	0.0993747i
$652$	36.0294	−	18.9913i	1.41102	−	0.743755i
$653$	4.36624	+	7.56254i	0.170864	+	0.295945i	0.938722	−	0.344675i	$-0.112011\pi$
$653$	4.36624	+	7.56254i	0.170864	+	0.295945i	−0.767858	+	0.640620i	$0.778677\pi$
$654$	2.99002	−	10.3571i	0.116919	−	0.404995i
$655$	−0.266498			−0.0104129
$656$	−6.82774	+	9.96711i	−0.266578	+	0.389150i
$657$	5.83969	−	10.1146i	0.227828	−	0.394610i
$658$	−0.0659989	−	0.266750i	−0.00257291	−	0.0103990i
$659$	−20.8602	+	12.0437i	−0.812599	+	0.469154i	−0.847858	−	0.530224i	$-0.822108\pi$
$659$	−20.8602	+	12.0437i	−0.812599	+	0.469154i	0.0352586	+	0.999378i	$0.488775\pi$
$660$	0.851635	−	0.448901i	0.0331499	−	0.0174734i
$661$	14.7957	+	25.6269i	0.575486	+	0.996771i	0.995989	+	0.0894800i	$0.0285205\pi$
$661$	14.7957	+	25.6269i	0.575486	+	0.996771i	−0.420502	+	0.907291i	$0.638146\pi$
$662$	−8.46051	+	8.14086i	−0.328827	+	0.316404i
$663$	1.09496	+	1.89653i	0.0425248	+	0.0736551i
$664$	7.60634	+	36.7591i	0.295183	+	1.42653i
$665$	−0.656042			−0.0254402
$666$	19.0283	−	5.24162i	0.737331	−	0.203109i
$667$			42.4477i			1.64358i
$668$	12.0632	+	0.464707i	0.466741	+	0.0179801i
$669$	−0.218262	+	0.126013i	−0.00843848	+	0.00487196i
$670$	4.89879	+	5.09114i	0.189257	+	0.196688i
$671$	5.30722	−	3.06413i	0.204883	−	0.118289i
$672$	−0.783652	+	2.09428i	−0.0302300	+	0.0807885i
$673$	0.475568	+	0.823709i	0.0183318	+	0.0317516i	0.875046	−	0.484040i	$-0.160831\pi$
$673$	0.475568	+	0.823709i	0.0183318	+	0.0317516i	−0.856714	+	0.515792i	$0.827498\pi$
$674$	−7.40013	−	29.9094i	−0.285043	−	1.15207i
$675$	18.2975	+	10.5640i	0.704269	+	0.406610i
$676$	−45.2677	+	23.8608i	−1.74107	+	0.917723i
$677$		−	38.9665i		−	1.49760i	−0.662794	−	0.748802i	$-0.730630\pi$
$677$		−	38.9665i		−	1.49760i	0.662794	−	0.748802i	$-0.269370\pi$
$678$	8.38762	+	2.42144i	0.322125	+	0.0929950i
$679$	−3.41054	+	1.96908i	−0.130885	+	0.0755662i
$680$	0.442577	−	0.394195i	0.0169720	−	0.0151167i
$681$	−10.3757	−	5.99044i	−0.397600	−	0.229554i
$682$	11.5502	+	3.33445i	0.442279	+	0.127683i
$683$	23.8499	−	41.3092i	0.912589	−	1.58065i	0.102196	−	0.994764i	$-0.467413\pi$
$683$	23.8499	−	41.3092i	0.912589	−	1.58065i	0.810393	−	0.585887i	$-0.199254\pi$
$684$	−10.8417	−	6.82899i	−0.414543	−	0.261113i
$685$	−1.41121	−	2.44429i	−0.0539197	−	0.0933917i
$686$	8.80978	+	2.54332i	0.336359	+	0.0971044i
$687$	−8.31815	+	14.4075i	−0.317357	+	0.549679i
$688$	−2.49956	−	5.21983i	−0.0952949	−	0.199004i
$689$			49.4695i			1.88464i
$690$	3.30893	−	3.18392i	0.125969	−	0.121210i
$691$	2.28449	+	1.31895i	0.0869061	+	0.0501753i	0.542823	−	0.839847i	$-0.317355\pi$
$691$	2.28449	+	1.31895i	0.0869061	+	0.0501753i	−0.455917	+	0.890022i	$0.650689\pi$
$692$	3.00104	+	5.69345i	0.114082	+	0.216432i
$693$			1.23917i			0.0470722i
$694$	−1.36143	−	0.393036i	−0.0516793	−	0.0149194i
$695$			10.0701i			0.381982i
$696$	−12.3669	−	4.09216i	−0.468767	−	0.155113i
$697$		−	1.26762i		−	0.0480146i
$698$	18.4002	+	19.1227i	0.696457	+	0.723803i
$699$	−9.10327	+	5.25577i	−0.344317	+	0.198792i
$700$	3.78320	+	2.38297i	0.142992	+	0.0900679i
$701$	−6.38945	+	11.0668i	−0.241326	+	0.417989i	−0.961092	−	0.276228i	$-0.910916\pi$
$701$	−6.38945	+	11.0668i	−0.241326	+	0.417989i	0.719766	+	0.694217i	$0.244249\pi$
$702$	37.9251	−	9.38337i	1.43139	−	0.354152i
$703$	−0.445813	−	16.9790i	−0.0168142	−	0.640376i
$704$	9.12057	+	1.05823i	0.343744	+	0.0398837i
$705$	−0.149975	−	0.0865880i	−0.00564838	−	0.00326109i
$706$	−24.7185	−	25.6890i	−0.930292	−	0.966820i
$707$	2.03420	−	1.17444i	0.0765038	−	0.0441695i
$708$	−10.2631	+	16.2936i	−0.385709	+	0.612351i
$709$	−30.4902			−1.14508			−0.572542	−	0.819875i	$-0.694043\pi$
$709$	−30.4902			−1.14508			−0.572542	+	0.819875i	$0.694043\pi$
$710$	−2.90650	+	2.79669i	−0.109079	+	0.104958i
$711$			15.5823i			0.584383i
$712$	−6.64928	−	32.1340i	−0.249192	−	1.20427i
$713$	57.3431			2.14752
$714$	−0.0563496	−	0.227750i	−0.00210883	−	0.00852333i
$715$	−3.08262	−	1.77975i	−0.115284	−	0.0665590i
$716$	−16.7903	−	10.5759i	−0.627483	−	0.395241i
$717$	−16.1686			−0.603829
$718$	45.7429	+	13.2056i	1.70711	+	0.492830i
$719$	18.5708	−	32.1655i	0.692572	−	1.19957i	−0.278420	−	0.960459i	$-0.589811\pi$
$719$	18.5708	−	32.1655i	0.692572	−	1.19957i	0.970992	−	0.239111i	$-0.0768560\pi$
$720$	−1.97899	−	4.13272i	−0.0737526	−	0.154018i
$721$	−3.32860	+	1.92177i	−0.123964	+	0.0715705i
$722$	11.4167	−	10.9853i	0.424885	−	0.408832i
$723$	11.5680	−	20.0364i	0.430219	−	0.745161i
$724$	26.4021	+	1.01708i	0.981226	+	0.0377994i
$725$	−13.0234	+	22.5571i	−0.483676	+	0.837751i
$726$	11.1660	−	2.76267i	0.414408	−	0.102532i
$727$	−4.90169	+	2.82999i	−0.181794	+	0.104959i	−0.588135	−	0.808763i	$-0.700138\pi$
$727$	−4.90169	+	2.82999i	−0.181794	+	0.104959i	0.406341	+	0.913721i	$0.366804\pi$
$728$	8.09624	−	1.67530i	0.300067	−	0.0620909i
$729$	−3.98627			−0.147640
$730$	−0.863258	−	3.48906i	−0.0319506	−	0.129136i
$731$	0.525882	+	0.303618i	0.0194504	+	0.0112297i
$732$	4.18287	+	7.93557i	0.154603	+	0.293307i
$733$	5.84844	−	3.37660i	0.216017	−	0.124718i	−0.388088	−	0.921622i	$-0.626864\pi$
$733$	5.84844	−	3.37660i	0.216017	−	0.124718i	0.604105	+	0.796905i	$0.293531\pi$
$734$	8.98471	+	36.3138i	0.331632	+	1.34037i
$735$	2.46203	−	1.42146i	0.0908134	−	0.0524312i
$736$	43.1974	−	7.21696i	1.59228	−	0.266021i
$737$	−5.74220	−	9.94577i	−0.211517	−	0.366357i
$738$	−9.41578	−	2.71827i	−0.346600	−	0.100061i
$739$		−	32.3100i		−	1.18854i	−0.804265	−	0.594271i	$-0.797441\pi$
$739$		−	32.3100i		−	1.18854i	0.804265	−	0.594271i	$-0.202559\pi$
$740$	3.10120	−	5.22259i	0.114002	−	0.191986i
$741$		−	14.5700i		−	0.535242i
$742$	1.47001	−	5.09197i	0.0539659	−	0.186932i
$743$	24.3834	+	42.2333i	0.894540	+	1.54939i	0.834373	+	0.551201i	$0.185830\pi$
$743$	24.3834	+	42.2333i	0.894540	+	1.54939i	0.0601677	+	0.998188i	$0.480836\pi$
$744$	−5.52815	+	16.7066i	−0.202672	+	0.612495i
$745$	−9.54626	+	5.51153i	−0.349748	+	0.201927i
$746$	−18.2441	+	4.51392i	−0.667963	+	0.165266i
$747$	−26.3706	+	15.2251i	−0.964851	+	0.557057i
$748$	−0.852234	+	0.449216i	−0.0311608	+	0.0164250i
$749$	−4.65549	−	2.68785i	−0.170108	−	0.0982119i
$750$	5.61404	−	1.38902i	0.204996	−	0.0507198i
$751$	−40.5687			−1.48037			−0.740186	−	0.672402i	$-0.765263\pi$
$751$	−40.5687			−1.48037			−0.740186	+	0.672402i	$0.765263\pi$
$752$	−0.713344	−	1.48968i	−0.0260130	−	0.0543229i
$753$	−8.49164	+	4.90265i	−0.309452	+	0.178662i
$754$	11.5678	+	46.7541i	0.421276	+	1.70268i
$755$	−2.46285	+	4.26577i	−0.0896321	+	0.155247i
$756$	−4.18252	−	0.161121i	−0.152117	−	0.00585993i
$757$	11.7022	−	20.2688i	0.425324	−	0.736682i	−0.571127	−	0.820862i	$-0.693494\pi$
$757$	11.7022	−	20.2688i	0.425324	−	0.736682i	0.996451	+	0.0841796i	$0.0268270\pi$
$758$	−24.8046	−	25.7785i	−0.900944	−	0.936319i
$759$	−6.46416	+	3.73208i	−0.234634	+	0.135466i
$760$	−3.86138	+	0.799012i	−0.140067	+	0.0289832i
$761$	−14.1234	+	24.4625i	−0.511974	+	0.886764i	0.487930	+	0.872883i	$0.337752\pi$
$761$	−14.1234	+	24.4625i	−0.511974	+	0.886764i	−0.999904	+	0.0138815i	$0.995581\pi$
$762$	2.18221	−	7.55894i	0.0790531	−	0.273831i
$763$	4.27023			0.154593
$764$	12.9283	−	20.5250i	0.467731	−	0.742569i
$765$	0.416359	+	0.240385i	0.0150535	+	0.00869114i
$766$	−31.8912	+	7.89047i	−1.15228	+	0.285094i
$767$	71.1991			2.57085
$768$	−2.06180	+	13.2811i	−0.0743990	+	0.479240i
$769$		−	8.06031i		−	0.290662i	−0.989383	−	0.145331i	$-0.953575\pi$
$769$		−	8.06031i		−	0.290662i	0.989383	−	0.145331i	$-0.0464247\pi$
$770$	0.264413	+	0.274795i	0.00952877	+	0.00990291i
$771$	−13.8012			−0.497037
$772$	−11.5975	+	18.4121i	−0.417402	+	0.662666i
$773$	−24.6510	+	14.2323i	−0.886635	+	0.511899i	−0.872840	−	0.488006i	$-0.837724\pi$
$773$	−24.6510	+	14.2323i	−0.886635	+	0.511899i	−0.0137947	+	0.999905i	$0.504391\pi$
$774$	3.38294	−	3.25513i	0.121597	−	0.117003i
$775$	30.4727	+	17.5934i	1.09461	+	0.631975i
$776$	−17.6758	+	15.7435i	−0.634525	+	0.565160i
$777$	−1.25647	−	2.05004i	−0.0450755	−	0.0735448i
$778$	−4.67490	−	18.8947i	−0.167603	−	0.677408i
$779$	−4.21687	+	7.30383i	−0.151085	+	0.261687i
$780$	2.77695	−	4.40869i	0.0994309	−	0.157856i
$781$	5.67799	−	3.27819i	0.203174	−	0.117303i
$782$	−3.31126	+	3.18616i	−0.118410	+	0.113937i
$783$		−	24.3834i		−	0.871391i
$784$	27.0339	+	2.08593i	0.965496	+	0.0744973i
$785$		−	0.822628i		−	0.0293609i
$786$	−0.175876	+	0.609214i	−0.00627328	+	0.0217300i
$787$			22.8308i			0.813829i	0.913466	+	0.406915i	$0.133395\pi$
$787$			22.8308i			0.813829i	−0.913466	+	0.406915i	$0.866605\pi$
$788$	15.3135	+	29.0521i	0.545521	+	1.03494i
$789$	6.78163	+	3.91537i	0.241432	+	0.139391i
$790$	3.32494	+	3.45549i	0.118296	+	0.122941i
$791$			3.45821i			0.122960i
$792$	1.50922	+	7.29361i	0.0536278	+	0.259167i
$793$	16.5838	−	28.7240i	0.588908	−	1.02002i
$794$	−3.09013	+	10.7039i	−0.109664	+	0.379866i
$795$	−1.67001	−	2.89255i	−0.0592293	−	0.102588i
$796$	−0.201192	+	0.319411i	−0.00713104	+	0.0113212i
$797$	25.8463	−	44.7671i	0.915523	−	1.58573i	0.109388	−	0.993999i	$-0.465111\pi$
$797$	25.8463	−	44.7671i	0.915523	−	1.58573i	0.806134	−	0.591733i	$-0.201556\pi$
$798$	−0.432956	+	1.49971i	−0.0153265	+	0.0530892i
$799$	0.150080	+	0.0866489i	0.00530946	+	0.00306542i
$800$	25.1698	+	9.41822i	0.889886	+	0.332984i
$801$	23.0526	−	13.3094i	0.814523	−	0.470265i
$802$	−11.0502	+	38.2768i	−0.390198	+	1.35160i
$803$			5.84239i			0.206173i
$804$	14.8713	−	7.83873i	0.524471	−	0.276451i
$805$	1.57529	+	0.909496i	0.0555218	+	0.0320555i
$806$	63.1607	−	15.6271i	2.22474	−	0.550443i
$807$	8.07741	+	13.9905i	0.284338	+	0.492488i
$808$	10.5426	−	9.39014i	0.370889	−	0.330344i
$809$	−5.03875	+	2.90912i	−0.177153	+	0.102279i	−0.585954	−	0.810344i	$-0.699280\pi$
$809$	−5.03875	+	2.90912i	−0.177153	+	0.102279i	0.408801	+	0.912623i	$0.365947\pi$
$810$	1.60135	−	1.54084i	0.0562655	−	0.0541398i
$811$	21.5536	−	12.4440i	0.756850	−	0.436967i	−0.0713139	−	0.997454i	$-0.522719\pi$
$811$	21.5536	−	12.4440i	0.756850	−	0.436967i	0.828163	+	0.560487i	$0.189386\pi$
$812$	0.198631	−	5.15621i	0.00697057	−	0.180948i
$813$		−	12.9747i		−	0.455042i
$814$	−6.93227	+	7.03000i	−0.242976	+	0.246401i
$815$	10.1673			0.356145
$816$	−0.609050	−	1.27188i	−0.0213210	−	0.0445247i
$817$	−2.02003	−	3.49879i	−0.0706719	−	0.122407i
$818$	−34.1512	−	35.4922i	−1.19407	−	1.24095i
$819$	3.35334	+	5.80816i	0.117175	+	0.202954i
$820$	−2.66804	+	1.40633i	−0.0931719	+	0.0491113i
$821$	48.4345	−	27.9637i	1.69038	−	0.975939i	0.736167	−	0.676800i	$-0.236634\pi$
$821$	48.4345	−	27.9637i	1.69038	−	0.975939i	0.954209	−	0.299140i	$-0.0966996\pi$
$822$	−6.51899	+	1.61292i	−0.227376	+	0.0562570i
$823$	24.7431	−	42.8563i	0.862489	−	1.49388i	−0.00702958	−	0.999975i	$-0.502238\pi$
$823$	24.7431	−	42.8563i	0.862489	−	1.49388i	0.869519	−	0.493900i	$-0.164429\pi$
$824$	−17.2512	+	15.3653i	−0.600973	+	0.535276i
$825$	−4.58016			−0.159461
$826$	−7.32864	−	2.11572i	−0.254996	−	0.0736155i
$827$	0.104098	+	0.180303i	0.00361985	+	0.00626976i	0.867830	−	0.496862i	$-0.165514\pi$
$827$	0.104098	+	0.180303i	0.00361985	+	0.00626976i	−0.864210	+	0.503132i	$0.832181\pi$
$828$	16.5659	+	31.4281i	0.575704	+	1.09220i
$829$	1.32569	−	2.29616i	0.0460431	−	0.0797490i	−0.842085	−	0.539344i	$-0.818672\pi$
$829$	1.32569	−	2.29616i	0.0460431	−	0.0797490i	0.888128	+	0.459595i	$0.152006\pi$
$830$	−2.59916	+	9.00320i	−0.0902181	+	0.312506i
$831$	−0.333822	−	0.192732i	−0.0115802	−	0.00668581i
$832$	45.6131	−	19.7213i	1.58135	−	0.683712i
$833$	−2.46376	+	1.42245i	−0.0853643	+	0.0492851i
$834$	23.0203	+	6.64580i	0.797129	+	0.230125i
$835$	2.60992	+	1.50684i	0.0903201	+	0.0521463i
$836$	6.40479	+	0.246729i	0.221514	+	0.00853331i
$837$	−32.9398			−1.13857
$838$	7.56212	+	7.85904i	0.261229	+	0.271486i
$839$	3.80615	−	6.59245i	0.131403	−	0.227597i	−0.792815	−	0.609463i	$-0.791385\pi$
$839$	3.80615	−	6.59245i	0.131403	−	0.227597i	0.924218	+	0.381866i	$0.124718\pi$
$840$	−0.416843	+	0.371274i	−0.0143824	+	0.0128102i
$841$	1.05986			0.0365470
$842$	16.5108	+	4.76655i	0.569000	+	0.164266i
$843$	−8.18653			−0.281959
$844$	9.13148	−	14.4971i	0.314319	−	0.499012i
$845$	−12.7743			−0.439450
$846$	0.965449	−	0.928974i	0.0331928	−	0.0319388i
$847$	2.27823	+	3.94601i	0.0782809	+	0.135587i
$848$	2.45067	−	31.7611i	0.0841565	−	1.09068i
$849$	−7.63598	−	4.40864i	−0.262066	−	0.151304i
$850$	−2.73718	+	0.677230i	−0.0938846	+	0.0232288i
$851$	−22.4682	+	41.3882i	−0.770199	+	1.41877i
$852$	4.47509	+	8.48994i	0.153314	+	0.290861i
$853$	−0.326333	+	0.565225i	−0.0111734	+	0.0193529i	−0.871558	−	0.490292i	$-0.836890\pi$
$853$	−0.326333	+	0.565225i	−0.0111734	+	0.0193529i	0.860385	+	0.509645i	$0.170223\pi$
$854$	−2.56055	+	2.46381i	−0.0876201	+	0.0843097i
$855$	−1.59933	−	2.77012i	−0.0546959	−	0.0947360i
$856$	−30.6753	−	10.1503i	−1.04846	−	0.346930i
$857$			25.0754i			0.856560i	0.903646	+	0.428280i	$0.140880\pi$
$857$			25.0754i			0.856560i	−0.903646	+	0.428280i	$0.859120\pi$
$858$	−6.10290	+	5.87232i	−0.208349	+	0.200478i
$859$	−45.7376			−1.56055			−0.780273	−	0.625439i	$-0.784920\pi$
$859$	−45.7376			−1.56055			−0.780273	+	0.625439i	$0.784920\pi$
$860$	0.0556148	−	1.44369i	0.00189645	−	0.0492296i
$861$			1.19392i			0.0406885i
$862$	1.39689	−	0.345617i	0.0475784	−	0.0117718i
$863$	−27.9001	+	48.3245i	−0.949732	+	1.64498i	−0.203744	+	0.979024i	$0.565311\pi$
$863$	−27.9001	+	48.3245i	−0.949732	+	1.64498i	−0.745988	+	0.665960i	$0.768022\pi$
$864$	−24.8140	+	4.14566i	−0.844190	+	0.141038i
$865$			1.60666i			0.0546281i
$866$	28.0953	+	8.11092i	0.954718	+	0.275620i
$867$	−12.2389	−	7.06611i	−0.415654	−	0.239978i
$868$	−6.96560	−	0.268333i	−0.236428	−	0.00910782i
$869$	−3.89738	−	6.75046i	−0.132210	−	0.228994i
$870$	−2.25473	−	2.34326i	−0.0764426	−	0.0794441i
$871$	−53.8289	−	31.0781i	−1.82392	−	1.05304i
$872$	25.1340	−	5.20083i	0.851146	−	0.176122i
$873$	−16.6287	−	9.60061i	−0.562797	−	0.324931i
$874$	29.6780	−	7.34289i	1.00387	−	0.248377i
$875$	1.14545	+	1.98398i	0.0387234	+	0.0670708i
$876$	−8.54570	−	0.329202i	−0.288732	−	0.0111227i
$877$			55.1352i			1.86178i	0.365295	+	0.930892i	$0.380968\pi$
$877$			55.1352i			1.86178i	−0.365295	+	0.930892i	$0.619032\pi$
$878$	−43.6435	+	10.7982i	−1.47290	+	0.364422i
$879$	−3.91532	+	6.78153i	−0.132060	+	0.228735i
$880$	1.89098	+	1.29537i	0.0637449	+	0.0436670i
$881$	−9.75254	−	16.8919i	−0.328571	−	0.569102i	0.653657	−	0.756791i	$-0.273234\pi$
$881$	−9.75254	−	16.8919i	−0.328571	−	0.569102i	−0.982229	+	0.187688i	$0.939900\pi$
$882$	5.28261	+	21.3509i	0.177875	+	0.718922i
$883$	−23.1064	−	40.0215i	−0.777592	−	1.34683i	−0.933326	−	0.359031i	$-0.883107\pi$
$883$	−23.1064	−	40.0215i	−0.777592	−	1.34683i	0.155733	−	0.987799i	$-0.450226\pi$
$884$	−2.77890	+	4.41178i	−0.0934647	+	0.148384i
$885$	−4.16311	+	2.40357i	−0.139942	+	0.0807953i
$886$	−8.69916	+	30.1329i	−0.292254	+	1.01234i
$887$	−34.7080			−1.16538			−0.582690	−	0.812695i	$-0.698000\pi$
$887$	−34.7080			−1.16538			−0.582690	+	0.812695i	$0.698000\pi$
$888$	−9.89221	−	10.5360i	−0.331961	−	0.353565i
$889$	3.11654			0.104526
$890$	2.27212	−	7.87039i	0.0761618	−	0.263816i
$891$	−3.12830	+	1.80613i	−0.104802	+	0.0605075i
$892$	−0.507729	−	0.319809i	−0.0170000	−	0.0107080i
$893$	−0.576492	−	0.998513i	−0.0192916	−	0.0334140i
$894$	6.29930	+	25.4601i	0.210680	+	0.851513i
$895$	−2.47685	−	4.29002i	−0.0827918	−	0.143400i
$896$	−5.28105	+	0.674522i	−0.176428	+	0.0225342i
$897$	−20.1989	+	34.9856i	−0.674423	+	1.16813i
$898$	36.8176	−	9.10936i	1.22862	−	0.303983i
$899$		−	40.6083i		−	1.35436i
$900$	−0.839168	+	21.7838i	−0.0279723	+	0.726126i
$901$	1.67119	+	2.89458i	0.0556753	+	0.0964325i
$902$	4.75892	−	1.17744i	0.158455	−	0.0392046i
$903$	−0.495304	−	0.285964i	−0.0164827	−	0.00951628i
$904$	4.21185	+	20.3546i	0.140084	+	0.676984i
$905$	5.71218	+	3.29793i	0.189879	+	0.109627i
$906$	8.12620	+	8.44527i	0.269975	+	0.280575i
$907$	2.24528	+	3.88894i	0.0745534	+	0.129130i	0.900892	−	0.434043i	$-0.142914\pi$
$907$	2.24528	+	3.88894i	0.0745534	+	0.129130i	−0.826339	+	0.563174i	$0.809580\pi$
$908$	1.09806	−	28.5044i	0.0364405	−	0.945951i
$909$	9.91811	+	5.72622i	0.328963	+	0.189927i
$910$	1.98297	+	0.572468i	0.0657347	+	0.0189771i
$911$			24.3620i			0.807150i	0.914947	+	0.403575i	$0.132233\pi$
$911$			24.3620i			0.807150i	−0.914947	+	0.403575i	$0.867767\pi$
$912$	−0.721785	+	9.35443i	−0.0239007	+	0.309756i
$913$	7.61606	−	13.1914i	0.252055	−	0.436571i
$914$	34.7455	−	8.59667i	1.14928	−	0.284353i
$915$			2.23937i			0.0740314i
$916$	−39.5804	−	1.52474i	−1.30777	−	0.0503788i
$917$	−0.251179			−0.00829465
$918$	1.90210	−	1.83024i	0.0627786	−	0.0604068i
$919$			3.85794i			0.127262i	0.997974	+	0.0636308i	$0.0202680\pi$
$919$			3.85794i			0.127262i	−0.997974	+	0.0636308i	$0.979732\pi$
$920$	10.3797	+	3.43459i	0.342208	+	0.113235i
$921$	−8.40594	−	14.5595i	−0.276985	−	0.479752i
$922$	0.701836	−	0.675320i	0.0231137	−	0.0222405i
$923$	17.7423	−	30.7306i	0.583996	−	1.01151i
$924$	0.802680	−	0.423096i	0.0264062	−	0.0139188i
$925$	−24.6381	+	15.1007i	−0.810096	+	0.496507i
$926$	−26.9354	+	6.66432i	−0.885153	+	0.219003i
$927$	−16.2292	−	9.36996i	−0.533038	−	0.307750i
$928$	−5.11078	−	30.5908i	−0.167770	−	1.00419i
$929$	−4.55848	−	7.89552i	−0.149559	−	0.259044i	0.781506	−	0.623898i	$-0.214452\pi$
$929$	−4.55848	−	7.89552i	−0.149559	−	0.259044i	−0.931064	+	0.364855i	$0.881119\pi$
$930$	−3.16555	+	3.04595i	−0.103802	+	0.0998807i
$931$	18.9277			0.620331
$932$	−21.1764	−	13.3386i	−0.693656	−	0.436921i
$933$	−24.3277			−0.796454
$934$	29.4409	+	8.49937i	0.963335	+	0.278108i
$935$	−0.240496			−0.00786505
$936$	26.8113	+	30.1020i	0.876355	+	0.983915i
$937$	15.6460	−	27.0996i	0.511132	−	0.885307i	−0.488785	−	0.872405i	$-0.662560\pi$
$937$	15.6460	−	27.0996i	0.511132	−	0.885307i	0.999917	−	0.0129024i	$-0.00410709\pi$
$938$	4.61719	+	4.79848i	0.150757	+	0.156676i
$939$	2.41659			0.0788623
$940$	0.0158718	−	0.412013i	0.000517681	−	0.0134384i
$941$	19.8092	+	11.4369i	0.645763	+	0.372831i	0.786831	−	0.617169i	$-0.211720\pi$
$941$	19.8092	+	11.4369i	0.645763	+	0.372831i	−0.141068	+	0.990000i	$0.545054\pi$
$942$	−1.88053	−	0.542895i	−0.0612709	−	0.0176885i
$943$	20.2512	−	11.6920i	0.659469	−	0.380744i
$944$	−45.7123	−	3.52714i	−1.48781	−	0.114799i
$945$	−0.904901	−	0.522445i	−0.0294364	−	0.0169951i
$946$	−0.651374	+	2.25629i	−0.0211780	+	0.0733582i
$947$	−1.61262	+	2.79314i	−0.0524030	+	0.0907647i	−0.891037	−	0.453931i	$-0.850021\pi$
$947$	−1.61262	+	2.79314i	−0.0524030	+	0.0907647i	0.838634	+	0.544695i	$0.183355\pi$
$948$	10.0936	−	5.32036i	0.327823	−	0.172797i
$949$	15.8102	+	27.3841i	0.513221	+	0.888925i
$950$	18.0241	+	5.20342i	0.584778	+	0.168821i
$951$	−7.24306			−0.234872
$952$	0.417136	−	0.371535i	0.0135194	−	0.0120415i
$953$	18.6742	−	32.3447i	0.604917	−	1.04775i	−0.387148	−	0.922018i	$-0.626540\pi$
$953$	18.6742	−	32.3447i	0.604917	−	1.04775i	0.992065	−	0.125729i	$-0.0401269\pi$
$954$	25.0844	−	6.20634i	0.812136	−	0.200938i
$955$	5.24426	−	3.02778i	0.169700	−	0.0979765i
$956$	−17.9505	−	34.0550i	−0.580561	−	1.10142i
$957$	2.64292	+	4.57768i	0.0854336	+	0.147975i
$958$	−10.2375	−	10.6395i	−0.330758	−	0.343745i
$959$	−1.33009	−	2.30379i	−0.0429509	−	0.0743932i
$960$	−2.00130	+	2.69296i	−0.0645917	+	0.0869149i
$961$	−23.8583			−0.769622
$962$	−13.4685	+	51.7101i	−0.434242	+	1.66720i
$963$		−	26.2102i		−	0.844613i
$964$	55.0442	+	2.12045i	1.77285	+	0.0682949i
$965$	−4.70440	+	2.71609i	−0.151440	+	0.0874340i
$966$	3.11872	−	3.00090i	0.100343	−	0.0965522i
$967$	24.7361	−	14.2814i	0.795460	−	0.459259i	−0.0464213	−	0.998922i	$-0.514782\pi$
$967$	24.7361	−	14.2814i	0.795460	−	0.459259i	0.841881	+	0.539663i	$0.181448\pi$
$968$	18.2154	+	20.4510i	0.585464	+	0.657321i
$969$	−0.492206	−	0.852526i	−0.0158119	−	0.0273871i
$970$	−5.73610	+	1.41922i	−0.184175	+	0.0455684i
$971$	−33.1378	−	19.1321i	−1.06344	−	0.613979i	−0.137060	−	0.990563i	$-0.543765\pi$
$971$	−33.1378	−	19.1321i	−1.06344	−	0.613979i	−0.926382	+	0.376584i	$0.877099\pi$
$972$	−14.9081	−	28.2831i	−0.478178	−	0.907180i
$973$			9.49126i			0.304276i
$974$	2.60660	−	9.02899i	0.0835210	−	0.289308i
$975$	−21.4678	+	12.3945i	−0.687521	+	0.396941i
$976$	−12.0703	+	17.6202i	−0.386362	+	0.564010i
$977$	9.69869	+	5.59954i	0.310288	+	0.179145i	0.647056	−	0.762443i	$-0.276000\pi$
$977$	9.69869	+	5.59954i	0.310288	+	0.179145i	−0.336767	+	0.941588i	$0.609333\pi$
$978$	6.70993	−	23.2425i	0.214560	−	0.743212i
$979$	−6.65778	+	11.5316i	−0.212784	+	0.368552i
$980$	5.72728	+	3.60751i	0.182951	+	0.115238i
$981$	10.4102	+	18.0309i	0.332371	+	0.575683i
$982$	−4.14862	+	14.3704i	−0.132388	+	0.458577i
$983$	9.97280	−	17.2734i	0.318083	−	0.550936i	−0.662005	−	0.749499i	$-0.730294\pi$
$983$	9.97280	−	17.2734i	0.318083	−	0.550936i	0.980088	+	0.198564i	$0.0636276\pi$
$984$	1.45410	+	7.02724i	0.0463551	+	0.224020i
$985$			8.19836i			0.261221i
$986$	2.25632	+	2.34491i	0.0718558	+	0.0746772i
$987$	−0.141354	−	0.0816106i	−0.00449934	−	0.00259769i
$988$	30.6878	−	16.1757i	0.976310	−	0.514617i
$989$			11.2018i			0.356196i
$990$	−0.515715	+	1.78638i	−0.0163905	+	0.0567749i
$991$			36.3527i			1.15478i	0.816467	+	0.577391i	$0.195929\pi$
$991$			36.3527i			1.15478i	−0.816467	+	0.577391i	$0.804071\pi$
$992$	−41.3255	+	6.90423i	−1.31209	+	0.219209i
$993$			6.97396i			0.221312i
$994$	−2.73942	+	2.63593i	−0.0868893	+	0.0836065i
$995$	−0.0816115	+	0.0471184i	−0.00258726	+	0.00149375i
$996$	18.8660	+	11.8834i	0.597792	+	0.376538i
$997$	9.16192	−	15.8689i	0.290161	−	0.502574i	−0.683687	−	0.729776i	$-0.739624\pi$
$997$	9.16192	−	15.8689i	0.290161	−	0.502574i	0.973848	+	0.227202i	$0.0729578\pi$
$998$	10.5818	+	42.7688i	0.334961	+	1.35382i
$999$	12.9065	−	23.7748i	0.408343	−	0.752200i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.q.a.101.34	yes	72
4.3	odd	2		1184.2.y.a.1137.13		72
8.3	odd	2		1184.2.y.a.1137.24		72
8.5	even	2	inner	296.2.q.a.101.28	yes	72
37.11	even	6	inner	296.2.q.a.85.28	✓	72
148.11	odd	6		1184.2.y.a.529.24		72
296.11	odd	6		1184.2.y.a.529.13		72
296.85	even	6	inner	296.2.q.a.85.34	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.q.a.85.28	✓	72	37.11	even	6	inner
296.2.q.a.85.34	yes	72	296.85	even	6	inner
296.2.q.a.101.28	yes	72	8.5	even	2	inner
296.2.q.a.101.34	yes	72	1.1	even	1	trivial
1184.2.y.a.529.13		72	296.11	odd	6
1184.2.y.a.529.24		72	148.11	odd	6
1184.2.y.a.1137.13		72	4.3	odd	2
1184.2.y.a.1137.24		72	8.3	odd	2

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:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.q (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.35873 + 0.392254i) q^{2} +(0.727471 - 0.420006i) q^{3} +(1.69227 + 1.06593i) q^{4} +(0.249638 + 0.432386i) q^{5} +(1.15318 - 0.285319i) q^{6} +(0.235288 + 0.407531i) q^{7} +(1.88122 + 2.11211i) q^{8} +(-1.14719 + 1.98699i) q^{9} +(0.169585 + 0.685415i) q^{10} -1.14772i q^{11} +(1.67878 + 0.0646708i) q^{12} +(-3.10587 - 5.37952i) q^{13} +(0.159836 + 0.646015i) q^{14} +(0.363209 + 0.209699i) q^{15} +(1.72758 + 3.60770i) q^{16} +(-0.363464 - 0.209846i) q^{17} +(-2.33812 + 2.24979i) q^{18} +(1.39615 + 2.41820i) q^{19} +(-0.0384383 + 0.997812i) q^{20} +(0.342330 + 0.197644i) q^{21} +(0.450198 - 1.55944i) q^{22} -7.74213i q^{23} +(2.25563 + 0.746378i) q^{24} +(2.37536 - 4.11425i) q^{25} +(-2.10988 - 8.52759i) q^{26} +4.44734i q^{27} +(-0.0362287 + 0.940454i) q^{28} -5.48269 q^{29} +(0.411246 + 0.427393i) q^{30} +7.40664i q^{31} +(0.932167 + 5.57952i) q^{32} +(-0.482049 - 0.834933i) q^{33} +(-0.411535 - 0.427694i) q^{34} +(-0.117474 + 0.203470i) q^{35} +(-4.05936 + 2.13971i) q^{36} +(-5.34584 - 2.90207i) q^{37} +(0.948433 + 3.83331i) q^{38} +(-4.51886 - 2.60896i) q^{39} +(-0.443623 + 1.34068i) q^{40} +(1.51018 + 2.61571i) q^{41} +(0.387606 + 0.402825i) q^{42} -1.44686 q^{43} +(1.22339 - 1.94226i) q^{44} -1.14553 q^{45} +(3.03688 - 10.5194i) q^{46} -0.412916 q^{47} +(2.77201 + 1.89890i) q^{48} +(3.38928 - 5.87040i) q^{49} +(4.84130 - 4.65839i) q^{50} -0.352546 q^{51} +(0.478230 - 12.4143i) q^{52} +(-6.89691 - 3.98194i) q^{53} +(-1.74449 + 6.04272i) q^{54} +(0.496258 - 0.286515i) q^{55} +(-0.418122 + 1.26361i) q^{56} +(2.03131 + 1.17278i) q^{57} +(-7.44947 - 2.15061i) q^{58} +(-5.73102 + 9.92641i) q^{59} +(0.391124 + 0.742024i) q^{60} +(2.66975 + 4.62415i) q^{61} +(-2.90529 + 10.0636i) q^{62} -1.07968 q^{63} +(-0.922032 + 7.94669i) q^{64} +(1.55069 - 2.68587i) q^{65} +(-0.327466 - 1.32353i) q^{66} +(8.66568 - 5.00313i) q^{67} +(-0.391399 - 0.742545i) q^{68} +(-3.25174 - 5.63217i) q^{69} +(-0.239427 + 0.230381i) q^{70} +(2.85626 + 4.94719i) q^{71} +(-6.35487 + 1.31497i) q^{72} -5.09043 q^{73} +(-6.12519 - 6.04004i) q^{74} -3.99066i q^{75} +(-0.214973 + 5.58045i) q^{76} +(0.467731 - 0.270045i) q^{77} +(-5.11651 - 5.31741i) q^{78} +(5.88163 - 3.39576i) q^{79} +(-1.12865 + 1.64760i) q^{80} +(-1.57366 - 2.72567i) q^{81} +(1.02590 + 4.14641i) q^{82} +(11.4936 + 6.63581i) q^{83} +(0.368641 + 0.699369i) q^{84} -0.209542i q^{85} +(-1.96589 - 0.567537i) q^{86} +(-3.98850 + 2.30276i) q^{87} +(2.42411 - 2.15911i) q^{88} +(-10.0474 - 5.80087i) q^{89} +(-1.55646 - 0.449339i) q^{90} +(1.46155 - 2.53147i) q^{91} +(8.25259 - 13.1018i) q^{92} +(3.11083 + 5.38811i) q^{93} +(-0.561040 - 0.161968i) q^{94} +(-0.697063 + 1.20735i) q^{95} +(3.02156 + 3.66742i) q^{96} +8.36880i q^{97} +(6.90779 - 6.64681i) q^{98} +(2.28051 + 1.31665i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) \) 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

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