LMFDB - Embedded newform 296.2.q.a.85.28

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			85.28
Character	$\chi$	$=$	296.85
Dual form			296.2.q.a.101.28

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.01907 - 0.980564i) q^{2} +(-0.727471 - 0.420006i) q^{3} +(0.0769881 - 1.99852i) 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} +(-0.895395 + 1.42153i) q^{12} +(3.10587 - 5.37952i) q^{13} +(-0.159836 - 0.646015i) q^{14} +(0.363209 - 0.209699i) q^{15} +(-3.98815 - 0.307724i) q^{16} +(-0.363464 + 0.209846i) q^{17} +(-3.11744 - 0.899981i) q^{18} +(-1.39615 + 2.41820i) q^{19} +(0.844911 + 0.532195i) q^{20} +(-0.342330 + 0.197644i) q^{21} +(-1.12541 - 1.16960i) q^{22} +7.74213i q^{23} +(0.481433 + 2.32662i) q^{24} +(2.37536 + 4.11425i) q^{25} +(-2.10988 - 8.52759i) q^{26} +4.44734i q^{27} +(-0.796343 - 0.501602i) q^{28} +5.48269 q^{29} +(0.164510 - 0.569846i) q^{30} -7.40664i q^{31} +(-4.36592 + 3.59704i) q^{32} +(-0.482049 + 0.834933i) q^{33} +(-0.164626 + 0.570247i) 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} +(1.38287 - 0.286149i) q^{40} +(1.51018 - 2.61571i) q^{41} +(-0.155054 + 0.537089i) q^{42} +1.44686 q^{43} +(-2.29374 - 0.0883607i) q^{44} +1.14553 q^{45} +(7.59165 + 7.88973i) q^{46} -0.412916 q^{47} +(2.77201 + 1.89890i) q^{48} +(3.38928 + 5.87040i) q^{49} +(6.45493 + 1.86349i) q^{50} +0.352546 q^{51} +(-10.5120 - 6.62129i) q^{52} +(6.89691 - 3.98194i) q^{53} +(4.36090 + 4.53213i) q^{54} +(0.496258 + 0.286515i) q^{55} +(-1.30338 + 0.269700i) q^{56} +(2.03131 - 1.17278i) q^{57} +(5.58722 - 5.37613i) q^{58} +(5.73102 + 9.92641i) q^{59} +(-0.391124 - 0.742024i) q^{60} +(-2.66975 + 4.62415i) q^{61} +(-7.26268 - 7.54785i) 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} +(0.319229 + 0.0921591i) q^{70} +(2.85626 - 4.94719i) q^{71} +(-2.03863 + 6.16096i) q^{72} -5.09043 q^{73} +(2.60210 - 8.19933i) q^{74} -3.99066i q^{75} +(4.72533 + 2.97640i) q^{76} +(-0.467731 - 0.270045i) q^{77} +(-2.04675 + 7.08973i) 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} +(1.47444 - 1.41874i) q^{86} +(-3.98850 - 2.30276i) q^{87} +(-2.42411 + 2.15911i) q^{88} +(-10.0474 + 5.80087i) q^{89} +(1.16737 - 1.12327i) q^{90} +(-1.46155 - 2.53147i) q^{91} +(15.4728 + 0.596052i) q^{92} +(-3.11083 + 5.38811i) q^{93} +(-0.420789 + 0.404891i) q^{94} +(-0.697063 - 1.20735i) q^{95} +(4.68686 - 0.783031i) q^{96} -8.36880i q^{97} +(9.21020 + 2.65892i) 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 $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$1$

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 $

$2$	1.01907	−	0.980564i	0.720588	−	0.693364i
$2$	1.01907	−	0.980564i	0.720588	−	0.693364i
$3$	−0.727471	−	0.420006i	−0.420006	−	0.242490i	0.275074	−	0.961423i	$-0.411298\pi$
$3$	−0.727471	−	0.420006i	−0.420006	−	0.242490i	−0.695080	+	0.718933i	$0.744631\pi$
$4$	0.0769881	−	1.99852i	0.0384940	−	0.999259i
$5$	−0.249638	+	0.432386i	−0.111642	+	0.193369i	−0.916432	−	0.400190i	$-0.868944\pi$
$5$	−0.249638	+	0.432386i	−0.111642	+	0.193369i	0.804791	+	0.593559i	$0.202278\pi$
$6$	−1.15318	+	0.285319i	−0.470785	+	0.116481i
$7$	0.235288	−	0.407531i	0.0889305	−	0.154032i	−0.818129	−	0.575035i	$-0.804988\pi$
$7$	0.235288	−	0.407531i	0.0889305	−	0.154032i	0.907059	+	0.421003i	$0.138322\pi$
$8$	−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	$-0.0553542\pi$
$12$	−0.895395	+	1.42153i	−0.258478	+	0.410360i
$13$	3.10587	−	5.37952i	0.861413	−	1.49201i	−0.00915271	−	0.999958i	$-0.502913\pi$
$13$	3.10587	−	5.37952i	0.861413	−	1.49201i	0.870565	−	0.492053i	$-0.163753\pi$
$14$	−0.159836	−	0.646015i	−0.0427180	−	0.172655i
$15$	0.363209	−	0.209699i	0.0937801	−	0.0541440i
$16$	−3.98815	−	0.307724i	−0.997036	−	0.0769310i
$17$	−0.363464	+	0.209846i	−0.0881530	+	0.0508952i	−0.543428	−	0.839455i	$-0.682874\pi$
$17$	−0.363464	+	0.209846i	−0.0881530	+	0.0508952i	0.455276	+	0.890351i	$0.349541\pi$
$18$	−3.11744	−	0.899981i	−0.734787	−	0.212128i
$19$	−1.39615	+	2.41820i	−0.320298	+	0.554773i	−0.980549	−	0.196272i	$-0.937116\pi$
$19$	−1.39615	+	2.41820i	−0.320298	+	0.554773i	0.660251	+	0.751045i	$0.270450\pi$
$20$	0.844911	+	0.532195i	0.188928	+	0.119002i
$21$	−0.342330	+	0.197644i	−0.0747026	+	0.0431296i
$22$	−1.12541	−	1.16960i	−0.239939	−	0.249360i
$23$			7.74213i			1.61435i	0.590315	+	0.807173i	$0.299003\pi$
$23$			7.74213i			1.61435i	−0.590315	+	0.807173i	$0.700997\pi$
$24$	0.481433	+	2.32662i	0.0982722	+	0.474920i
$25$	2.37536	+	4.11425i	0.475072	+	0.822849i
$26$	−2.10988	−	8.52759i	−0.413782	−	1.67240i
$27$			4.44734i			0.855891i
$28$	−0.796343	−	0.501602i	−0.150495	−	0.0947939i
$29$	5.48269			1.01811			0.509055	−	0.860734i	$-0.329995\pi$
$29$	5.48269			1.01811			0.509055	+	0.860734i	$0.329995\pi$
$30$	0.164510	−	0.569846i	0.0300354	−	0.104039i
$31$		−	7.40664i		−	1.33027i	−0.746722	−	0.665136i	$-0.768374\pi$
$31$		−	7.40664i		−	1.33027i	0.746722	−	0.665136i	$-0.231626\pi$
$32$	−4.36592	+	3.59704i	−0.771794	+	0.635873i
$33$	−0.482049	+	0.834933i	−0.0839139	+	0.145343i
$34$	−0.164626	+	0.570247i	−0.0282331	+	0.0977965i
$35$	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
$40$	1.38287	−	0.286149i	0.218651	−	0.0452441i
$41$	1.51018	−	2.61571i	0.235851	−	0.408505i	−0.723669	−	0.690147i	$-0.757546\pi$
$41$	1.51018	−	2.61571i	0.235851	−	0.408505i	0.959520	+	0.281642i	$0.0908791\pi$
$42$	−0.155054	+	0.537089i	−0.0239253	+	0.0828747i
$43$	1.44686			0.220644			0.110322	−	0.993896i	$-0.464812\pi$
$43$	1.44686			0.220644			0.110322	+	0.993896i	$0.464812\pi$
$44$	−2.29374	−	0.0883607i	−0.345794	−	0.0133209i
$45$	1.14553			0.170765
$46$	7.59165	+	7.88973i	1.11933	+	1.16328i
$47$	−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
$50$	6.45493	+	1.86349i	0.912865	+	0.263538i
$51$	0.352546			0.0493663
$52$	−10.5120	−	6.62129i	−1.45775	−	0.918208i
$53$	6.89691	−	3.98194i	0.947364	−	0.546961i	0.0551030	−	0.998481i	$-0.482451\pi$
$53$	6.89691	−	3.98194i	0.947364	−	0.546961i	0.892261	+	0.451520i	$0.149118\pi$
$54$	4.36090	+	4.53213i	0.593444	+	0.616745i
$55$	0.496258	+	0.286515i	0.0669154	+	0.0386336i
$56$	−1.30338	+	0.269700i	−0.174171	+	0.0360402i
$57$	2.03131	−	1.17278i	0.269054	−	0.155338i
$58$	5.58722	−	5.37613i	0.733637	−	0.705920i
$59$	5.73102	+	9.92641i	0.746115	+	1.29231i	0.949672	+	0.313246i	$0.101416\pi$
$59$	5.73102	+	9.92641i	0.746115	+	1.29231i	−0.203557	+	0.979063i	$0.565250\pi$
$60$	−0.391124	−	0.742024i	−0.0504939	−	0.0957948i
$61$	−2.66975	+	4.62415i	−0.341827	+	0.592061i	−0.984772	−	0.173851i	$-0.944379\pi$
$61$	−2.66975	+	4.62415i	−0.341827	+	0.592061i	0.642945	+	0.765912i	$0.277712\pi$
$62$	−7.26268	−	7.54785i	−0.922362	−	0.958578i
$63$	−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	$-0.542658\pi$
$67$	−8.66568	−	5.00313i	−1.05868	−	0.611230i	−0.925067	+	0.379803i	$0.875992\pi$
$68$	0.391399	+	0.742545i	0.0474641	+	0.0900468i
$69$	3.25174	−	5.63217i	0.391463	−	0.678034i
$70$	0.319229	+	0.0921591i	0.0381552	+	0.0110151i
$71$	2.85626	−	4.94719i	0.338976	−	0.587123i	−0.645265	−	0.763959i	$-0.723253\pi$
$71$	2.85626	−	4.94719i	0.338976	−	0.587123i	0.984240	+	0.176836i	$0.0565862\pi$
$72$	−2.03863	+	6.16096i	−0.240255	+	0.726076i
$73$	−5.09043			−0.595790			−0.297895	−	0.954599i	$-0.596285\pi$
$73$	−5.09043			−0.595790			−0.297895	+	0.954599i	$0.596285\pi$
$74$	2.60210	−	8.19933i	0.302488	−	0.953153i
$75$		−	3.99066i		−	0.460802i
$76$	4.72533	+	2.97640i	0.542032	+	0.341416i
$77$	−0.467731	−	0.270045i	−0.0533029	−	0.0307744i
$78$	−2.04675	+	7.08973i	−0.231749	+	0.802754i
$79$	5.88163	+	3.39576i	0.661735	+	0.382053i	0.792938	−	0.609303i	$-0.208551\pi$
$79$	5.88163	+	3.39576i	0.661735	+	0.382053i	−0.131203	+	0.991356i	$0.541884\pi$
$80$	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	$-0.926391\pi$
$83$	−11.4936	+	6.63581i	−1.26158	+	0.728375i	−0.288202	+	0.957570i	$0.593058\pi$
$84$	0.368641	+	0.699369i	0.0402220	+	0.0763074i
$85$		−	0.209542i		−	0.0227281i
$86$	1.47444	−	1.41874i	0.158993	−	0.152987i
$87$	−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	−0.926817	−	0.375512i	$-0.877467\pi$
$89$	−10.0474	+	5.80087i	−1.06502	+	0.614891i	−0.138206	+	0.990404i	$0.544134\pi$
$90$	1.16737	−	1.12327i	0.123052	−	0.118403i
$91$	−1.46155	−	2.53147i	−0.153212	−	0.265370i
$92$	15.4728	+	0.596052i	1.61315	+	0.0621427i
$93$	−3.11083	+	5.38811i	−0.322578	+	0.558721i
$94$	−0.420789	+	0.404891i	−0.0434010	+	0.0417613i
$95$	−0.697063	−	1.20735i	−0.0715172	−	0.123871i
$96$	4.68686	−	0.783031i	0.478351	−	0.0799178i
$97$		−	8.36880i		−	0.849723i	−0.905258	−	0.424861i	$-0.860323\pi$
$97$		−	8.36880i		−	0.849723i	0.905258	−	0.424861i	$-0.139677\pi$
$98$	9.21020	+	2.65892i	0.930371	+	0.268591i
$99$	−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	$-0.0798841\pi$
$102$	0.359268	−	0.345694i	0.0355728	−	0.0342288i
$103$		−	8.16774i		−	0.804791i	−0.915466	−	0.402396i	$-0.868178\pi$
$103$		−	8.16774i		−	0.804791i	0.915466	−	0.402396i	$-0.131822\pi$
$104$	−17.2050	+	3.56012i	−1.68709	+	0.349098i
$105$		−	0.197358i		−	0.0192602i
$106$	3.12386	−	10.8207i	0.303416	−	1.05100i
$107$	9.89318	+	5.71183i	0.956410	+	0.552183i	0.895066	−	0.445933i	$-0.147128\pi$
$107$	9.89318	+	5.71183i	0.956410	+	0.552183i	0.0613436	+	0.998117i	$0.480461\pi$
$108$	8.88809	+	0.342392i	0.855256	+	0.0329467i
$109$	−4.53724	−	7.85873i	−0.434589	−	0.752729i	0.562673	−	0.826679i	$-0.309773\pi$
$109$	−4.53724	−	7.85873i	−0.434589	−	0.752729i	−0.997262	+	0.0739498i	$0.976440\pi$
$110$	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	−0.169827	−	0.985474i	$-0.554321\pi$
$113$	6.36432	−	3.67444i	0.598705	−	0.345663i	0.768532	+	0.639811i	$0.220987\pi$
$114$	0.920056	−	3.18697i	0.0861711	−	0.298487i
$115$	−3.34759	−	1.93273i	−0.312164	−	0.180228i
$116$	0.422102	−	10.9572i	0.0391911	−	1.01735i
$117$	−14.2521			−1.31761
$118$	15.5738	+	4.49603i	1.43368	+	0.413893i
$119$			0.197497i			0.0181045i
$120$	−1.12618	−	0.372649i	−0.102806	−	0.0340180i
$121$	9.68274			0.880249
$122$	1.81362	+	7.33017i	0.164197	+	0.663642i
$123$	−2.19723	+	1.26857i	−0.198117	+	0.114383i
$124$	−14.8023	−	0.570223i	−1.32929	−	0.0512075i
$125$	−4.86830			−0.435434
$126$	−1.10026	+	1.05870i	−0.0980194	+	0.0943161i
$127$	3.31142	+	5.73554i	0.293841	+	0.508947i	0.974715	−	0.223454i	$-0.0717331\pi$
$127$	3.31142	+	5.73554i	0.293841	+	0.508947i	−0.680874	+	0.732401i	$0.738400\pi$
$128$	6.85263	+	9.00231i	0.605692	+	0.795699i
$129$	−1.05255	−	0.607689i	−0.0926718	−	0.0535041i
$130$	4.21391	+	1.21653i	0.369585	+	0.106696i
$131$	0.266884	+	0.462257i	0.0233178	+	0.0403876i	0.877449	−	0.479670i	$-0.159244\pi$
$131$	0.266884	+	0.462257i	0.0233178	+	0.0403876i	−0.854131	+	0.520058i	$0.825910\pi$
$132$	1.63152	+	1.02766i	0.142005	+	0.0894466i
$133$	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
$136$	1.12697	+	0.372910i	0.0966372	+	0.0319768i
$137$	−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	$-0.993341\pi$
$139$	−17.4673	+	10.0847i	−1.48156	+	0.855376i	−0.481774	+	0.876296i	$0.660007\pi$
$140$	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
$144$	3.96372	+	8.27743i	0.330310	+	0.689786i
$145$	−1.36869	+	2.37064i	−0.113663	+	0.196871i
$146$	−5.18748	+	4.99149i	−0.429319	+	0.413099i
$147$		−	5.69406i		−	0.469639i
$148$	−5.38826	−	10.9072i	−0.442912	−	0.896565i
$149$			22.0781i			1.80871i	0.426783	+	0.904354i	$0.359647\pi$
$149$			22.0781i			1.80871i	−0.426783	+	0.904354i	$0.640353\pi$
$150$	−3.91310	−	4.06674i	−0.319503	−	0.332048i
$151$	4.93283	−	8.54392i	0.401428	−	0.695294i	−0.592470	−	0.805592i	$-0.701847\pi$
$151$	4.93283	−	8.54392i	0.401428	−	0.695294i	0.993899	+	0.110298i	$0.0351806\pi$
$152$	7.73396	−	1.60034i	0.627307	−	0.129805i
$153$	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	$-0.645723\pi$
$157$	1.42690	−	0.823821i	0.113879	−	0.0657481i	0.555858	+	0.831278i	$0.312390\pi$
$158$	9.32353	−	2.30681i	0.741740	−	0.183520i
$159$	−6.68974			−0.530531
$160$	−0.465409	−	2.78572i	−0.0367938	−	0.220231i
$161$	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	−0.921227	−	0.389026i	$-0.872812\pi$
$163$	−10.1821	−	17.6358i	−0.797520	−	1.38134i	0.123707	−	0.992319i	$-0.460522\pi$
$164$	−5.11128	−	3.21950i	−0.399124	−	0.251401i
$165$	−0.240675	−	0.416862i	−0.0187366	−	0.0324527i
$166$	−5.20585	+	18.0325i	−0.404053	+	1.39959i
$167$	5.22741	+	3.01805i	0.404509	+	0.233544i	0.688428	−	0.725305i	$-0.258301\pi$
$167$	5.22741	+	3.01805i	0.404509	+	0.233544i	−0.283919	+	0.958848i	$0.591635\pi$
$168$	1.06145	+	0.351227i	0.0818923	+	0.0270978i
$169$	−12.7928	−	22.1578i	−0.984064	−	1.70445i
$170$	−0.205470	−	0.213537i	−0.0157588	−	0.0163776i
$171$	6.40659			0.489924
$172$	0.111391	−	2.89158i	0.00849348	−	0.220481i
$173$	−2.78685	+	1.60899i	−0.211880	+	0.122329i	−0.602185	−	0.798357i	$-0.705703\pi$
$173$	−2.78685	+	1.60899i	−0.211880	+	0.122329i	0.390305	+	0.920686i	$0.372370\pi$
$174$	−6.32254	+	1.56431i	−0.479311	+	0.118590i
$175$	2.23558			0.168994
$176$	−0.353181	+	4.57727i	−0.0266220	+	0.345025i
$177$		−	9.62824i		−	0.723703i
$178$	−4.55084	+	15.7636i	−0.341100	+	1.18153i
$179$	9.92175			0.741586			0.370793	−	0.928715i	$-0.379086\pi$
$179$	9.92175			0.741586			0.370793	+	0.928715i	$0.379086\pi$
$180$	0.0881921	−	2.28936i	0.00657345	−	0.170639i
$181$	−11.4409	−	6.60542i	−0.850397	−	0.490977i	0.0103880	−	0.999946i	$-0.496693\pi$
$181$	−11.4409	−	6.60542i	−0.850397	−	0.490977i	−0.860785	+	0.508969i	$0.830027\pi$
$182$	−3.97168	−	1.14660i	−0.294401	−	0.0849913i
$183$	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
$188$	−0.0317896	+	0.825220i	−0.00231850	+	0.0601854i
$189$	1.81243	+	1.04640i	0.131835	+	0.0761148i
$190$	−1.89424	−	0.546852i	−0.137422	−	0.0396728i
$191$			12.1287i			0.877599i	0.898585	+	0.438800i	$0.144596\pi$
$191$			12.1287i			0.877599i	−0.898585	+	0.438800i	$0.855404\pi$
$192$	4.00840	−	5.39373i	0.289282	−	0.389259i
$193$		−	10.8801i		−	0.783167i	−0.920143	−	0.391584i	$-0.871927\pi$
$193$		−	10.8801i		−	0.783167i	0.920143	−	0.391584i	$-0.128073\pi$
$194$	−8.20614	−	8.52835i	−0.589167	−	0.612300i
$195$		−	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	$-0.865555\pi$
$197$	−14.2206	+	8.21024i	−1.01317	+	0.584956i	−0.101054	+	0.994881i	$0.532221\pi$
$198$	−1.03293	+	3.57794i	−0.0734069	+	0.254273i
$199$		−	0.188747i		−	0.0133799i	−0.999978	−	0.00668996i	$-0.997871\pi$
$199$		−	0.188747i		−	0.0133799i	0.999978	−	0.00668996i	$-0.00212950\pi$
$200$	4.22117	−	12.7568i	0.298482	−	0.902044i
$201$	4.20269	+	7.27927i	0.296435	+	0.513440i
$202$	−4.89450	−	5.08668i	−0.344376	−	0.357898i
$203$	1.29001	−	2.23436i	0.0905409	−	0.156822i
$204$	0.0271418	−	0.704570i	0.00190031	−	0.0493297i
$205$	0.753997	+	1.30596i	0.0526615	+	0.0912123i
$206$	−8.00899	−	8.32346i	−0.558013	−	0.579923i
$207$	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
$210$	−0.193522	−	0.201121i	−0.0133543	−	0.0138787i
$211$		−	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
$218$	−12.3297	−	3.55950i	−0.835074	−	0.241080i
$219$	3.70314	+	2.13801i	0.250235	+	0.144473i
$220$	0.610810	−	0.969722i	0.0411808	−	0.0653786i
$221$			2.60702i			0.175367i
$222$	−5.33672	+	4.87188i	−0.358177	+	0.326979i
$223$	−0.300028			−0.0200913			−0.0100457	−	0.999950i	$-0.503198\pi$
$223$	−0.300028			−0.0200913			−0.0100457	+	0.999950i	$0.503198\pi$
$224$	0.438655	+	2.62559i	0.0293089	+	0.175429i
$225$	5.44999	−	9.43965i	0.363332	−	0.629310i
$226$	2.88263	−	9.98513i	0.191750	−	0.664201i
$227$	7.13138	−	12.3519i	0.473327	−	0.819826i	−0.526207	−	0.850356i	$-0.676386\pi$
$227$	7.13138	−	12.3519i	0.473327	−	0.819826i	0.999534	+	0.0305307i	$0.00971974\pi$
$228$	−2.18743	−	4.14991i	−0.144866	−	0.274834i
$229$	17.1515	+	9.90243i	1.13340	+	0.654371i	0.944789	−	0.327680i	$-0.106267\pi$
$229$	17.1515	+	9.90243i	1.13340	+	0.654371i	0.188615	+	0.982051i	$0.439600\pi$
$230$	−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	$0.634435\pi$
$234$	−14.5238	+	13.9751i	−0.949451	+	0.913580i
$235$	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
$238$	0.193658	+	0.201262i	0.0125530	+	0.0130459i
$239$	−16.6694	+	9.62406i	−1.07825	+	0.622529i	−0.930424	−	0.366484i	$-0.880561\pi$
$239$	−16.6694	+	9.62406i	−1.07825	+	0.622529i	−0.147827	+	0.989013i	$0.547228\pi$
$240$	−1.51306	+	0.724541i	−0.0976676	+	0.0467689i
$241$	23.8525	+	13.7713i	1.53648	+	0.887085i	0.999041	+	0.0437793i	$0.0139398\pi$
$241$	23.8525	+	13.7713i	1.53648	+	0.887085i	0.537435	+	0.843305i	$0.319393\pi$
$242$	9.86734	−	9.49455i	0.634297	−	0.610333i
$243$	13.8441	−	7.99290i	0.888101	−	0.512745i
$244$	9.03590	+	5.69155i	0.578464	+	0.364364i
$245$	−3.38437			−0.216220
$246$	−0.995203	+	3.44728i	−0.0634518	+	0.219790i
$247$	8.67250	+	15.0212i	0.551818	+	0.955777i
$248$	−15.6436	+	13.9335i	−0.993373	+	0.884779i
$249$	11.1483			0.706496
$250$	−4.96112	+	4.77368i	−0.313769	+	0.301914i
$251$	11.6728			0.736782			0.368391	−	0.929671i	$-0.379909\pi$
$251$	11.6728			0.736782			0.368391	+	0.929671i	$0.379909\pi$
$252$	−0.0831225	+	2.15776i	−0.00523622	+	0.135926i
$253$	8.88579			0.558645
$254$	8.99862	+	2.59784i	0.564623	+	0.163003i
$255$	−0.0880089	+	0.152436i	−0.00551133	+	0.00954591i
$256$	15.8106	+	2.45450i	0.988163	+	0.153406i
$257$	−14.2286	+	8.21487i	−0.887554	+	0.512430i	−0.873142	−	0.487467i	$-0.837921\pi$
$257$	−14.2286	+	8.21487i	−0.887554	+	0.512430i	−0.0144125	+	0.999896i	$0.504588\pi$
$258$	−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
$262$	0.725246	+	0.209373i	0.0448058	+	0.0129351i
$263$	4.66110	−	8.07326i	0.287416	−	0.497818i	−0.685776	−	0.727812i	$-0.740537\pi$
$263$	4.66110	−	8.07326i	0.287416	−	0.497818i	0.973192	+	0.229994i	$0.0738706\pi$
$264$	2.67031	−	0.552551i	0.164346	−	0.0340071i
$265$			3.97617i			0.244254i
$266$	1.78535	+	0.515417i	0.109467	+	0.0316022i
$267$	9.74560			0.596421
$268$	−10.6660	+	16.9333i	−0.651530	+	1.03437i
$269$			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	0.999377	−	0.0352809i	$-0.0112326\pi$
$271$	7.72293	+	13.3765i	0.469135	+	0.812565i	−0.530243	+	0.847846i	$0.677899\pi$
$272$	1.51412	−	0.725050i	0.0918072	−	0.0439626i
$273$			2.45543i			0.148609i
$274$	−5.76082	+	5.54317i	−0.348024	+	0.334875i
$275$	4.72200	−	2.72625i	0.284747	−	0.164399i
$276$	−11.0057	−	6.93226i	−0.662463	−	0.417273i
$277$	0.229440	−	0.397402i	0.0137857	−	0.0238776i	−0.859050	−	0.511891i	$-0.828945\pi$
$277$	0.229440	−	0.397402i	0.0137857	−	0.0238776i	0.872836	+	0.488014i	$0.162278\pi$
$278$	−7.91156	+	27.4048i	−0.474504	+	1.64363i
$279$	−14.7169	+	8.49683i	−0.881080	+	0.508692i
$280$	0.208758	−	0.630889i	0.0124757	−	0.0377029i
$281$	−8.44006	+	4.87287i	−0.503492	+	0.290691i	−0.730154	−	0.683282i	$-0.760552\pi$
$281$	−8.44006	+	4.87287i	−0.503492	+	0.290691i	0.226663	+	0.973973i	$0.427219\pi$
$282$	0.476168	−	0.117813i	0.0283554	−	0.00701565i
$283$	5.24831	−	9.09033i	0.311979	−	0.540364i	−0.666811	−	0.745227i	$-0.732341\pi$
$283$	5.24831	−	9.09033i	0.311979	−	0.540364i	0.978791	+	0.204862i	$0.0656747\pi$
$284$	−9.66714	−	6.08916i	−0.573640	−	0.361325i
$285$			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
$292$	−0.391902	+	10.1733i	−0.0229344	+	0.595348i
$293$	8.07314	+	4.66103i	0.471638	+	0.272300i	0.716925	−	0.697150i	$-0.245549\pi$
$293$	8.07314	+	4.66103i	0.471638	+	0.272300i	−0.245287	+	0.969450i	$0.578882\pi$
$294$	−5.58340	−	5.80262i	−0.325630	−	0.338416i
$295$	−5.72272			−0.333190
$296$	−16.1862	−	5.83159i	−0.940803	−	0.338955i
$297$	5.10430			0.296181
$298$	21.6490	+	22.4990i	1.25409	+	1.30333i
$299$	41.6489	+	24.0460i	2.40862	+	1.39062i
$300$	−7.97541	−	0.307233i	−0.460460	−	0.0177381i
$301$	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	$-0.193493\pi$
$308$	−0.575698	+	0.913978i	−0.0328035	+	0.0520787i
$309$	−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	−0.996489	−	0.0837295i	$-0.973317\pi$
$311$	−25.0811	+	14.4806i	−1.42222	+	0.821120i	−0.425732	+	0.904849i	$0.639984\pi$
$312$	14.0114	+	4.63630i	0.793238	+	0.262479i
$313$	2.49143	−	1.43843i	0.140824	−	0.0813046i	−0.427933	−	0.903811i	$-0.640758\pi$
$313$	2.49143	−	1.43843i	0.140824	−	0.0813046i	0.568757	+	0.822506i	$0.307425\pi$
$314$	0.646295	−	2.23869i	0.0364725	−	0.126337i
$315$	0.269529	−	0.466838i	0.0151863	−	0.0263034i
$316$	7.23930	−	11.4931i	0.407243	−	0.646538i
$317$	7.46736	−	4.31129i	0.419409	−	0.242146i	−0.275415	−	0.961325i	$-0.588815\pi$
$317$	7.46736	−	4.31129i	0.419409	−	0.242146i	0.694824	+	0.719179i	$0.255482\pi$
$318$	−6.81728	+	6.55972i	−0.382294	+	0.367851i
$319$		−	6.29259i		−	0.352317i
$320$	−3.20586	−	2.38247i	−0.179213	−	0.133184i
$321$	−4.79800	−	8.31038i	−0.267798	−	0.463840i
$322$	5.00153	−	1.23747i	0.278724	−	0.0689616i
$323$		−	1.17190i		−	0.0652065i
$324$	5.32614	+	3.35484i	0.295897	+	0.186380i
$325$	29.5102			1.63693
$326$	−27.6692	−	7.98791i	−1.53246	−	0.442409i
$327$			7.62266i			0.421534i
$328$	−8.36565	+	1.73105i	−0.461916	+	0.0955814i
$329$	−0.0971542	+	0.168276i	−0.00535628	+	0.00927735i
$330$	−0.654024	−	0.188812i	−0.0360028	−	0.0103938i
$331$	4.15111	+	7.18994i	0.228166	+	0.395195i	0.957265	−	0.289214i	$-0.0933939\pi$
$331$	4.15111	+	7.18994i	0.228166	+	0.395195i	−0.729099	+	0.684408i	$0.760061\pi$
$332$	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
$336$	1.42608	−	0.682892i	0.0777992	−	0.0372548i
$337$	−10.8934	+	18.8680i	−0.593402	+	1.02780i	0.400368	+	0.916354i	$0.368882\pi$
$337$	−10.8934	+	18.8680i	−0.593402	+	1.02780i	−0.993770	+	0.111448i	$0.964451\pi$
$338$	−34.7639	−	10.0361i	−1.89091	−	0.545891i
$339$	−6.17315			−0.335279
$340$	−0.418774	−	0.0161323i	−0.0227112	−	0.000874895i
$341$	−8.50074			−0.460341
$342$	6.52873	−	6.28207i	0.353033	−	0.339695i
$343$	6.48386			0.350095
$344$	−2.72186	−	3.05593i	−0.146753	−	0.164765i
$345$	1.62351	+	2.81201i	0.0874071	+	0.151394i
$346$	−1.26227	+	4.37235i	−0.0678599	+	0.235059i
$347$	1.00199			0.0537898			0.0268949	−	0.999638i	$-0.491438\pi$
$347$	1.00199			0.0537898			0.0268949	+	0.999638i	$0.491438\pi$
$348$	−4.90917	+	7.79380i	−0.263159	+	0.417791i
$349$	−16.2509	+	9.38245i	−0.869890	+	0.502231i	−0.867312	−	0.497766i	$-0.834154\pi$
$349$	−16.2509	+	9.38245i	−0.869890	+	0.502231i	−0.00257815	+	0.999997i	$0.500821\pi$
$350$	2.27820	−	2.19212i	0.121775	−	0.117174i
$351$	23.9246	+	13.8128i	1.27700	+	0.737275i
$352$	4.12840	+	5.01086i	0.220044	+	0.267080i
$353$	−21.8311	+	12.6042i	−1.16195	+	0.670855i	−0.951772	−	0.306808i	$-0.900739\pi$
$353$	−21.8311	+	12.6042i	−1.16195	+	0.670855i	−0.210183	+	0.977662i	$0.567406\pi$
$354$	−9.44110	−	9.81180i	−0.501789	−	0.521491i
$355$	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
$358$	10.1109	−	9.72891i	0.534378	−	0.514189i
$359$	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
$366$	1.75936	−	6.09422i	0.0919630	−	0.318550i
$367$	13.2260	−	22.9081i	0.690392	−	1.19579i	−0.281318	−	0.959615i	$-0.590771\pi$
$367$	13.2260	−	22.9081i	0.690392	−	1.19579i	0.971710	−	0.236179i	$-0.0758952\pi$
$368$	2.38244	−	30.8767i	0.124193	−	1.60956i
$369$	−6.92986			−0.360754
$370$	2.89569	+	3.17198i	0.150540	+	0.164903i
$371$		−	3.74760i		−	0.194566i
$372$	10.5287	+	6.63187i	0.545890	+	0.343846i
$373$	11.5090	+	6.64475i	0.595916	+	0.344052i	0.767433	−	0.641129i	$-0.221534\pi$
$373$	11.5090	+	6.64475i	0.595916	+	0.344052i	−0.171517	+	0.985181i	$0.554867\pi$
$374$	0.654483	+	0.188945i	0.0338425	+	0.00977009i
$375$	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	$-0.441565\pi$
$379$	21.9072	−	12.6481i	1.12530	−	0.649691i	0.942748	+	0.333506i	$0.108232\pi$
$380$	−2.46657	+	1.30014i	−0.126533	+	0.0666958i
$381$		−	5.56325i		−	0.285014i
$382$	11.8929	+	12.3599i	0.608495	+	0.632388i
$383$	−20.1182	−	11.6152i	−1.02799	−	0.593510i	−0.111582	−	0.993755i	$-0.535592\pi$
$383$	−20.1182	−	11.6152i	−1.02799	−	0.593510i	−0.916408	+	0.400245i	$0.868925\pi$
$384$	−1.20407	−	9.42706i	−0.0614449	−	0.481073i
$385$	0.233527	−	0.134827i	0.0119016	−	0.00687141i
$386$	−10.6686	−	11.0875i	−0.543020	−	0.564341i
$387$	−1.65982	−	2.87490i	−0.0843736	−	0.146139i
$388$	−16.7252	−	0.644298i	−0.849093	−	0.0327093i
$389$	6.88172	−	11.9195i	0.348917	−	0.604342i	−0.637140	−	0.770748i	$-0.719883\pi$
$389$	6.88172	−	11.9195i	0.348917	−	0.604342i	0.986057	+	0.166406i	$0.0532161\pi$
$390$	−2.55455	−	2.65486i	−0.129355	−	0.134434i
$391$	−1.62466	−	2.81399i	−0.0821624	−	0.142309i
$392$	6.02297	−	18.2021i	0.304206	−	0.919342i
$393$		−	0.448372i		−	0.0226174i
$394$	−6.44101	+	22.3109i	−0.324493	+	1.12401i
$395$	−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	$0.936656\pi$
$398$	−0.185078	−	0.192345i	−0.00927715	−	0.00964141i
$399$		−	1.10376i		−	0.0552573i
$400$	−8.20724	−	17.1392i	−0.410362	−	0.856959i
$401$		−	28.1711i		−	1.40680i	−0.710795	−	0.703399i	$-0.751665\pi$
$401$		−	28.1711i		−	1.40680i	0.710795	−	0.703399i	$-0.248335\pi$
$402$	11.4206	+	3.29705i	0.569608	+	0.164442i
$403$	−39.8442	−	23.0040i	−1.98478	−	1.14591i
$404$	−9.97564	−	0.384287i	−0.496307	−	0.0191190i
$405$	−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	−0.999952	−	0.00982636i	$-0.996872\pi$
$409$	−30.1621	+	17.4141i	−1.49142	+	0.861070i	−0.491466	+	0.870897i	$0.663539\pi$
$410$	2.04895	+	0.591517i	0.101190	+	0.0292130i
$411$	4.11242	+	2.37431i	0.202851	+	0.117116i
$412$	−16.3234	−	0.628819i	−0.804195	−	0.0309797i
$413$	5.39376			0.265409
$414$	6.96777	−	24.1356i	0.342447	−	1.18620i
$415$		−	6.62621i		−	0.325268i
$416$	5.79038	+	34.6585i	0.283897	+	1.69927i
$417$	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	$-0.726990\pi$
$419$	−6.67879	+	3.85600i	−0.326280	+	0.188378i	0.327908	+	0.944710i	$0.393656\pi$
$420$	−0.394424	−	0.0151942i	−0.0192459	−	0.000741403i
$421$	−12.1517			−0.592237			−0.296118	−	0.955151i	$-0.595692\pi$
$421$	−12.1517			−0.592237			−0.296118	+	0.955151i	$0.595692\pi$
$422$	−8.40016	−	8.72999i	−0.408913	−	0.424969i
$423$	0.473694	+	0.820461i	0.0230318	+	0.0398922i
$424$	−21.3849	−	7.07616i	−1.03854	−	0.343649i
$425$	−1.72672	−	0.996921i	−0.0837581	−	0.0483578i
$426$	−1.88226	+	6.51996i	−0.0911960	+	0.315893i
$427$	1.25632	+	2.17601i	0.0607976	+	0.105305i
$428$	12.1769	−	19.3320i	0.588590	−	0.934445i
$429$	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	0.521073	−	0.853512i	$-0.325532\pi$
$431$	0.881212	+	0.508768i	0.0424465	+	0.0245065i	−0.478627	+	0.878019i	$0.658865\pi$
$432$	1.36855	−	17.7366i	0.0658446	−	0.853354i
$433$	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	−0.331269	−	0.943536i	$-0.607477\pi$
$439$	−27.5320	−	15.8956i	−1.31403	−	0.758655i	−0.982761	+	0.184881i	$0.940810\pi$
$440$	−0.328419	−	1.58715i	−0.0156567	−	0.0756643i
$441$	7.77630	−	13.4689i	0.370300	−	0.641378i
$442$	2.55635	+	2.65672i	0.121593	+	0.126367i
$443$			22.1773i			1.05368i	0.849965	+	0.526839i	$0.176623\pi$
$443$			22.1773i			1.05368i	−0.849965	+	0.526839i	$0.823377\pi$
$444$	−0.661273	+	10.1978i	−0.0313826	+	0.483964i
$445$		−	5.79248i		−	0.274590i
$446$	−0.305748	+	0.294197i	−0.0144776	+	0.0139306i
$447$	9.27292	−	16.0612i	0.438594	−	0.759668i
$448$	3.02158	+	2.24552i	0.142756	+	0.106091i
$449$	23.2259	+	13.4095i	1.09610	+	0.632833i	0.935194	−	0.354136i	$-0.115225\pi$
$449$	23.2259	+	13.4095i	1.09610	+	0.632833i	0.160906	+	0.986970i	$0.448558\pi$
$450$	−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
$456$	−6.29839	−	2.08411i	−0.294949	−	0.0975972i
$457$	21.9187	+	12.6548i	1.02532	+	0.591966i	0.915639	−	0.402001i	$-0.131685\pi$
$457$	21.9187	+	12.6548i	1.02532	+	0.591966i	0.109676	+	0.993967i	$0.465019\pi$
$458$	27.1885	−	6.72694i	1.27043	−	0.314329i
$459$	−0.933257	−	1.61645i	−0.0435607	−	0.0754493i
$460$	−4.12032	+	6.54141i	−0.192111	+	0.304995i
$461$	−0.344353	−	0.596437i	−0.0160381	−	0.0277788i	0.857895	−	0.513825i	$-0.171772\pi$
$461$	−0.344353	−	0.596437i	−0.0160381	−	0.0277788i	−0.873933	+	0.486046i	$0.838439\pi$
$462$	0.616428	+	0.177958i	0.0286788	+	0.00827937i
$463$	−16.9919	−	9.81026i	−0.789679	−	0.455922i	0.0501704	−	0.998741i	$-0.484024\pi$
$463$	−16.9919	−	9.81026i	−0.789679	−	0.455922i	−0.839850	+	0.542819i	$0.817357\pi$
$464$	−21.8658	−	1.68715i	−1.01509	−	0.0783242i
$465$	−1.55316	−	2.69016i	−0.0720262	−	0.124753i
$466$	−12.7522	+	12.2704i	−0.590732	+	0.568414i
$467$	−21.6680			−1.00268			−0.501338	−	0.865252i	$-0.667159\pi$
$467$	−21.6680			−1.00268			−0.501338	+	0.865252i	$0.667159\pi$
$468$	−1.09724	+	28.4831i	−0.0507200	+	1.31663i
$469$	−4.07786	+	2.35435i	−0.188298	+	0.108714i
$470$	−0.0700242	−	0.283019i	−0.00322998	−	0.0130547i
$471$	−1.38404			−0.0637731
$472$	10.1844	−	30.7783i	0.468775	−	1.41669i
$473$		−	1.66059i		−	0.0763540i
$474$	−7.75147	−	2.23779i	−0.356037	−	0.102785i
$475$	−13.2654			−0.608659
$476$	0.394701	+	0.0152049i	0.0180911	+	0.000696916i
$477$	−15.8242	−	9.13608i	−0.724538	−	0.418312i
$478$	−7.55016	+	26.1529i	−0.345336	+	1.19621i
$479$	−9.04166	+	5.22020i	−0.413124	+	0.238517i	−0.692131	−	0.721772i	$-0.743328\pi$
$479$	−9.04166	+	5.22020i	−0.413124	+	0.238517i	0.279007	+	0.960289i	$0.409995\pi$
$480$	−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
$484$	0.745455	−	19.3511i	0.0338843	−	0.879597i
$485$	3.61855	+	2.08917i	0.164310	+	0.0948643i
$486$	6.27050	−	21.7203i	0.284436	−	0.985254i
$487$			6.64519i			0.301122i	0.988601	+	0.150561i	$0.0481080\pi$
$487$			6.64519i			0.301122i	−0.988601	+	0.150561i	$0.951892\pi$
$488$	14.7891	−	3.06022i	0.669471	−	0.138529i
$489$			17.1061i			0.773563i
$490$	−3.44890	+	3.31859i	−0.155805	+	0.149919i
$491$			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
$494$	23.5671	+	6.80365i	1.06033	+	0.306111i
$495$		−	1.31475i		−	0.0590935i
$496$	−2.27920	+	29.5388i	−0.102339	+	1.32633i
$497$	−1.34409	−	2.32803i	−0.0602905	−	0.104426i
$498$	11.3609	−	10.9316i	0.509092	−	0.489858i
$499$	−15.5770	+	26.9801i	−0.697322	+	1.20780i	0.272070	+	0.962278i	$0.412292\pi$
$499$	−15.5770	+	26.9801i	−0.697322	+	1.20780i	−0.969392	+	0.245519i	$0.921041\pi$
$500$	−0.374801	+	9.72939i	−0.0167616	+	0.435112i
$501$	−2.53519	−	4.39108i	−0.113264	−	0.196179i
$502$	11.8954	−	11.4459i	0.530916	−	0.510858i
$503$	29.1988	−	16.8580i	1.30191	−	0.751659i	0.321180	−	0.947018i	$-0.395921\pi$
$503$	29.1988	−	16.8580i	1.30191	−	0.751659i	0.980732	+	0.195359i	$0.0625873\pi$
$504$	2.03111	+	2.28040i	0.0904730	+	0.101577i
$505$	2.15826	+	1.24607i	0.0960414	+	0.0554495i
$506$	9.05520	−	8.71309i	0.402553	−	0.387344i
$507$			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	$-0.612431\pi$
$509$	6.62597	−	3.82551i	0.293691	−	0.169563i	0.639605	+	0.768704i	$0.279098\pi$
$510$	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
$514$	−6.44464	+	22.3235i	−0.284261	+	0.984648i
$515$	3.53162	+	2.03898i	0.155622	+	0.0898481i
$516$	−1.29551	+	2.05675i	−0.0570317	+	0.0905435i
$517$			0.473912i			0.0208426i
$518$	−2.72924	−	2.98964i	−0.119916	−	0.131357i
$519$	2.70314			0.118655
$520$	2.75567	−	8.32792i	0.120844	−	0.365204i
$521$	6.90920	−	11.9671i	0.302697	−	0.524287i	−0.674049	−	0.738687i	$-0.735446\pi$
$521$	6.90920	−	11.9671i	0.302697	−	0.524287i	0.976746	+	0.214400i	$0.0687795\pi$
$522$	−17.0919	−	4.93432i	−0.748093	−	0.215969i
$523$	−21.1550	+	36.6416i	−0.925045	+	1.60223i	−0.133557	+	0.991041i	$0.542640\pi$
$523$	−21.1550	+	36.6416i	−0.925045	+	1.60223i	−0.791488	+	0.611185i	$0.790693\pi$
$524$	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
$530$	3.89889	+	4.05198i	0.169357	+	0.176007i
$531$	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
$534$	9.93140	−	9.55618i	0.429774	−	0.413537i
$535$	−4.93943	+	2.85178i	−0.213550	+	0.123293i
$536$	5.73487	+	27.7149i	0.247709	+	1.19710i
$537$	−7.21779	−	4.16719i	−0.311470	−	0.179828i
$538$	18.8579	+	19.5983i	0.813021	+	0.844944i
$539$	6.73758	−	3.88994i	0.290208	−	0.167552i
$540$	−2.36685	+	3.75761i	−0.101853	+	0.161702i
$541$	34.1336			1.46752			0.733758	−	0.679411i	$-0.237764\pi$
$541$	34.1336			1.46752			0.733758	+	0.679411i	$0.237764\pi$
$542$	20.9867	+	6.05871i	0.901456	+	0.260244i
$543$	5.54862	+	9.61050i	0.238114	+	0.412426i
$544$	0.832032	−	2.22357i	0.0356731	−	0.0953347i
$545$	4.53067			0.194073
$546$	2.40771	+	2.50224i	0.103040	+	0.107086i
$547$	−27.0461			−1.15641			−0.578204	−	0.815892i	$-0.696246\pi$
$547$	−27.0461			−1.15641			−0.578204	+	0.815892i	$0.696246\pi$
$548$	−0.435217	+	11.2977i	−0.0185915	+	0.482614i
$549$	12.2509			0.522854
$550$	2.13877	−	7.40845i	0.0911973	−	0.315897i
$551$	−7.65464	+	13.2582i	−0.326099	+	0.564819i
$552$	−18.0130	+	3.72732i	−0.766685	+	0.158645i
$553$	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	−0.986231	−	0.165371i	$-0.947118\pi$
$557$	−15.0179	−	26.0119i	−0.636331	−	1.10216i	0.349901	−	0.936787i	$-0.386215\pi$
$558$	−6.66583	+	23.0897i	−0.282187	+	0.977466i
$559$	4.49376	−	7.78341i	0.190066	−	0.329203i
$560$	−0.405889	−	0.847618i	−0.0171519	−	0.0358184i
$561$		−	0.404624i		−	0.0170832i
$562$	−3.82281	+	13.2418i	−0.161255	+	0.558571i
$563$	−40.5799			−1.71024			−0.855119	−	0.518432i	$-0.826516\pi$
$563$	−40.5799			−1.71024			−0.855119	+	0.518432i	$0.826516\pi$
$564$	0.369723	−	0.586972i	0.0155682	−	0.0247160i
$565$			3.66912i			0.154361i
$566$	−3.56529	−	14.4099i	−0.149860	−	0.605695i
$567$	0.740528	+	1.28263i	0.0310993	+	0.0538655i
$568$	−15.8223	+	3.27400i	−0.663887	+	0.137374i
$569$			16.5430i			0.693518i	0.937954	+	0.346759i	$0.112718\pi$
$569$			16.5430i			0.693518i	−0.937954	+	0.346759i	$0.887282\pi$
$570$	1.14832	+	1.19341i	0.0480978	+	0.0499864i
$571$	−1.47508	+	0.851636i	−0.0617300	+	0.0356399i	−0.530547	−	0.847655i	$-0.678014\pi$
$571$	−1.47508	+	0.851636i	−0.0617300	+	0.0356399i	0.468817	+	0.883295i	$0.344680\pi$
$572$	−7.59939	+	12.0648i	−0.317746	+	0.504454i
$573$	5.09411	−	8.82325i	0.212809	−	0.368597i
$574$	−1.93117	−	0.557515i	−0.0806055	−	0.0232702i
$575$	−31.8530	+	18.3904i	−1.32836	+	0.766931i
$576$	16.8478	−	7.28430i	0.701990	−	0.303512i
$577$	0.231740	−	0.133795i	0.00964747	−	0.00556997i	−0.495169	−	0.868797i	$-0.664894\pi$
$577$	0.231740	−	0.133795i	0.00964747	−	0.00556997i	0.504816	+	0.863227i	$0.331560\pi$
$578$	5.71440	+	23.0961i	0.237688	+	0.960671i
$579$	−4.56971	+	7.91496i	−0.189910	+	0.328935i
$580$	4.63239	+	2.91786i	0.192349	+	0.121157i
$581$			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	0.0360094	−	0.999351i	$-0.488535\pi$
$587$	21.4047	−	37.0741i	0.883468	−	1.53021i	0.847459	−	0.530861i	$-0.178131\pi$
$588$	−11.3797	−	0.438375i	−0.469290	−	0.0180783i
$589$	17.9107	+	10.3408i	0.737998	+	0.426084i
$590$	−5.83183	+	5.61149i	−0.240092	+	0.231022i
$591$	13.7934			0.567384
$592$	−22.2130	+	9.92881i	−0.912950	+	0.408072i
$593$	−16.0993			−0.661121			−0.330560	−	0.943785i	$-0.607238\pi$
$593$	−16.0993			−0.661121			−0.330560	+	0.943785i	$0.607238\pi$
$594$	5.20161	−	5.00509i	0.213425	−	0.205361i
$595$	−0.0853949	−	0.0493028i	−0.00350085	−	0.00202122i
$596$	44.1235	+	1.69975i	1.80737	+	0.0696245i
$597$	−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	−0.941525	−	0.336943i	$-0.890607\pi$
$599$	−4.37997	+	7.58634i	−0.178961	+	0.309969i	0.762564	+	0.646913i	$0.223940\pi$
$600$	−8.42872	+	7.50731i	−0.344101	+	0.306484i
$601$	−22.3879	−	38.7770i	−0.913223	−	1.58175i	−0.809483	−	0.587144i	$-0.800252\pi$
$601$	−22.3879	−	38.7770i	−0.913223	−	1.58175i	−0.103740	−	0.994604i	$-0.533081\pi$
$602$	−0.231260	−	0.934693i	−0.00942547	−	0.0380953i
$603$			22.9582i			0.934930i
$604$	−16.6954	−	10.5161i	−0.679326	−	0.427895i
$605$	−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	−0.750818	−	0.660510i	$-0.770340\pi$
$607$	−13.6542	+	7.88328i	−0.554208	+	0.319972i	0.196609	+	0.980482i	$0.437007\pi$
$608$	−2.60289	−	15.5797i	−0.105561	−	0.631839i
$609$	−1.87689	+	1.08362i	−0.0760554	+	0.0439106i
$610$	−3.62221	−	1.04571i	−0.146659	−	0.0423394i
$611$	−1.28246	+	2.22129i	−0.0518829	+	0.0898638i
$612$	1.02642	−	1.62955i	0.0414907	−	0.0658705i
$613$	27.4452	−	15.8455i	1.10850	−	0.639993i	0.170060	−	0.985434i	$-0.445604\pi$
$613$	27.4452	−	15.8455i	1.10850	−	0.639993i	0.938441	+	0.345441i	$0.112271\pi$
$614$	−19.6249	−	20.3954i	−0.791996	−	0.823093i
$615$		−	1.26673i		−	0.0510796i
$616$	0.309540	+	1.49591i	0.0124717	+	0.0602720i
$617$	21.4334	+	37.1238i	0.862878	+	1.49455i	0.869139	+	0.494568i	$0.164674\pi$
$617$	21.4334	+	37.1238i	0.862878	+	1.49455i	−0.00626123	+	0.999980i	$0.501993\pi$
$618$	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	$0.818063\pi$
$620$	3.94177	−	6.25795i	0.158305	−	0.251325i
$621$	−34.4319			−1.38170
$622$	−11.3602	+	39.3503i	−0.455501	+	1.57781i
$623$			5.45950i			0.218730i
$624$	18.8247	−	9.01437i	0.753591	−	0.360863i
$625$	−10.6615	+	18.4663i	−0.426460	+	0.738650i
$626$	1.12846	−	3.90885i	0.0451022	−	0.156229i
$627$	−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	−0.583051	−	0.812436i	$-0.698141\pi$
$631$	−4.29512	+	2.47979i	−0.170986	+	0.0987189i	0.412065	+	0.911155i	$0.364808\pi$
$632$	−3.89241	−	18.8108i	−0.154832	−	0.748255i
$633$	−3.59805	+	6.23200i	−0.143009	+	0.247700i
$634$	3.38224	−	11.7157i	0.134326	−	0.465290i
$635$	−3.30662			−0.131219
$636$	−0.515030	+	13.3696i	−0.0204223	+	0.530138i
$637$	42.1066			1.66832
$638$	−6.17029	−	6.41256i	−0.244284	−	0.253876i
$639$	−13.1067			−0.518493
$640$	−5.60315	+	0.715661i	−0.221484	+	0.0282890i
$641$	19.5007	+	33.7763i	0.770233	+	1.33408i	0.937435	+	0.348160i	$0.113194\pi$
$641$	19.5007	+	33.7763i	0.770233	+	1.33408i	−0.167202	+	0.985923i	$0.553473\pi$
$642$	−13.0383	−	3.76407i	−0.514582	−	0.148556i
$643$	−15.4140			−0.607869			−0.303935	−	0.952693i	$-0.598300\pi$
$643$	−15.4140			−0.607869			−0.303935	+	0.952693i	$0.598300\pi$
$644$	3.88347	−	6.16539i	0.153030	−	0.242950i
$645$	0.525512	−	0.303405i	0.0206920	−	0.0119466i
$646$	−1.14913	−	1.19425i	−0.0452118	−	0.0469870i
$647$	−15.7881	−	9.11524i	−0.620693	−	0.358357i	0.156446	−	0.987687i	$-0.449996\pi$
$647$	−15.7881	−	9.11524i	−0.620693	−	0.358357i	−0.777139	+	0.629329i	$0.783330\pi$
$648$	8.71732	−	1.80382i	0.342449	−	0.0708608i
$649$	11.3927	−	6.57760i	0.447204	−	0.258193i
$650$	30.0729	−	28.9367i	1.17955	−	1.13499i
$651$	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	$-0.887989\pi$
$653$	−4.36624	+	7.56254i	−0.170864	+	0.295945i	0.767858	+	0.640620i	$0.221323\pi$
$654$	7.47451	+	7.76799i	0.292276	+	0.303752i
$655$	−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	$-0.177892\pi$
$659$	20.8602	+	12.0437i	0.812599	+	0.469154i	−0.0352586	+	0.999378i	$0.511225\pi$
$660$	−0.851635	+	0.448901i	−0.0331499	+	0.0174734i
$661$	−14.7957	+	25.6269i	−0.575486	+	0.996771i	0.420502	+	0.907291i	$0.361854\pi$
$661$	−14.7957	+	25.6269i	−0.575486	+	0.996771i	−0.995989	+	0.0894800i	$0.971480\pi$
$662$	11.2804	+	3.25658i	0.438427	+	0.126571i
$663$	1.09496	−	1.89653i	0.0425248	−	0.0736551i
$664$	35.6375	+	11.7923i	1.38300	+	0.457629i
$665$	−0.656042			−0.0254402
$666$	−19.2771	+	4.23585i	−0.746973	+	0.164136i
$667$			42.4477i			1.64358i
$668$	6.43407	−	10.2147i	0.248942	−	0.395219i
$669$	0.218262	+	0.126013i	0.00843848	+	0.00487196i
$670$	1.95966	−	6.78805i	0.0757083	−	0.262245i
$671$	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	−0.856714	−	0.515792i	$-0.827498\pi$
$673$	0.475568	−	0.823709i	0.0183318	−	0.0317516i	0.875046	+	0.484040i	$0.160831\pi$
$674$	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	$-0.269370\pi$
$678$	−6.29084	+	6.05317i	−0.241598	+	0.232470i
$679$	−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
$682$	−8.66281	+	8.33553i	−0.331716	+	0.319184i
$683$	−23.8499	−	41.3092i	−0.912589	−	1.58065i	−0.810393	−	0.585887i	$-0.800746\pi$
$683$	−23.8499	−	41.3092i	−0.912589	−	1.58065i	−0.102196	−	0.994764i	$-0.532587\pi$
$684$	0.493231	−	12.8037i	0.0188592	−	0.489561i
$685$	1.41121	−	2.44429i	0.0539197	−	0.0933917i
$686$	6.60747	−	6.35784i	0.252274	−	0.242743i
$687$	−8.31815	−	14.4075i	−0.317357	−	0.549679i
$688$	−5.77029	−	0.445234i	−0.219990	−	0.0169744i
$689$		−	49.4695i		−	1.88464i
$690$	4.41182	+	1.27366i	0.167955	+	0.0484875i
$691$	−2.28449	+	1.31895i	−0.0869061	+	0.0501753i	−0.542823	−	0.839847i	$-0.682645\pi$
$691$	−2.28449	+	1.31895i	−0.0869061	+	0.0501753i	0.455917	+	0.890022i	$0.349311\pi$
$692$	3.00104	+	5.69345i	0.114082	+	0.216432i
$693$			1.23917i			0.0470722i
$694$	1.02110	−	0.982518i	0.0387603	−	0.0372959i
$695$		−	10.0701i		−	0.381982i
$696$	2.63955	+	12.7561i	0.100052	+	0.483520i
$697$			1.26762i			0.0480146i
$698$	−7.36061	+	25.4964i	−0.278603	+	0.965052i
$699$	9.10327	+	5.25577i	0.344317	+	0.198792i
$700$	0.172113	−	4.46784i	0.00650525	−	0.168868i
$701$	6.38945	+	11.0668i	0.241326	+	0.417989i	0.961092	−	0.276228i	$-0.0890844\pi$
$701$	6.38945	+	11.0668i	0.241326	+	0.417989i	−0.719766	+	0.694217i	$0.755751\pi$
$702$	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
$706$	−9.88812	+	34.2513i	−0.372144	+	1.28907i
$707$	−2.03420	−	1.17444i	−0.0765038	−	0.0441695i
$708$	−19.2422	−	0.741259i	−0.723166	−	0.0278582i
$709$	30.4902			1.14508			0.572542	−	0.819875i	$-0.305957\pi$
$709$	30.4902			1.14508			0.572542	+	0.819875i	$0.305957\pi$
$710$	3.87526	+	1.11876i	0.145436	+	0.0419863i
$711$		−	15.5823i		−	0.584383i
$712$	31.1535	+	10.3085i	1.16753	+	0.386329i
$713$	57.3431			2.14752
$714$	−0.0563496	−	0.227750i	−0.00210883	−	0.00852333i
$715$	3.08262	−	1.77975i	0.115284	−	0.0665590i
$716$	0.763856	−	19.8288i	0.0285467	−	0.741037i
$717$	16.1686			0.603829
$718$	34.3079	−	33.0117i	1.28036	−	1.23199i
$719$	18.5708	+	32.1655i	0.692572	+	1.19957i	0.970992	+	0.239111i	$0.0768560\pi$
$719$	18.5708	+	32.1655i	0.692572	+	1.19957i	−0.278420	+	0.960459i	$0.589811\pi$
$720$	−4.56854	−	0.352507i	−0.170259	−	0.0131372i
$721$	−3.32860	−	1.92177i	−0.123964	−	0.0715705i
$722$	15.2219	+	4.39446i	0.566502	+	0.163545i
$723$	−11.5680	−	20.0364i	−0.430219	−	0.745161i
$724$	−14.0819	+	22.3563i	−0.523348	+	0.830867i
$725$	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	0.406341	−	0.913721i	$-0.366804\pi$
$727$	−4.90169	−	2.82999i	−0.181794	−	0.104959i	−0.588135	+	0.808763i	$0.700138\pi$
$728$	−2.59726	+	7.84920i	−0.0962610	+	0.290911i
$729$	−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	$-0.373136\pi$
$733$	−5.84844	−	3.37660i	−0.216017	−	0.124718i	−0.604105	+	0.796905i	$0.706469\pi$
$734$	−8.98471	−	36.3138i	−0.331632	−	1.34037i
$735$	2.46203	+	1.42146i	0.0908134	+	0.0524312i
$736$	−27.8488	−	33.8015i	−1.02652	−	1.24594i
$737$	−5.74220	+	9.94577i	−0.211517	+	0.366357i
$738$	−7.06198	+	6.79517i	−0.259955	+	0.250134i
$739$		−	32.3100i		−	1.18854i	−0.804265	−	0.594271i	$-0.797441\pi$
$739$		−	32.3100i		−	1.18854i	0.804265	−	0.594271i	$-0.202559\pi$
$740$	6.06123	+	0.393040i	0.222815	+	0.0144484i
$741$		−	14.5700i		−	0.535242i
$742$	−3.67477	−	3.81905i	−0.134905	−	0.140202i
$743$	24.3834	−	42.2333i	0.894540	−	1.54939i	0.0601677	−	0.998188i	$-0.480836\pi$
$743$	24.3834	−	42.2333i	0.894540	−	1.54939i	0.834373	−	0.551201i	$-0.185830\pi$
$744$	17.2324	−	3.56580i	0.631772	−	0.130729i
$745$	−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	$0.765263\pi$
$752$	1.64677	+	0.127064i	0.0600515	+	0.00463356i
$753$	−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
$756$	2.23079	−	3.54161i	0.0811332	−	0.128807i
$757$	−11.7022	−	20.2688i	−0.425324	−	0.736682i	0.571127	−	0.820862i	$-0.306506\pi$
$757$	−11.7022	−	20.2688i	−0.425324	−	0.736682i	−0.996451	+	0.0841796i	$0.973173\pi$
$758$	9.92257	−	34.3707i	0.360404	−	1.24840i
$759$	−6.46416	−	3.73208i	−0.234634	−	0.135466i
$760$	−1.23873	+	3.74356i	−0.0449333	+	0.135793i
$761$	−14.1234	−	24.4625i	−0.511974	−	0.886764i	−0.999904	−	0.0138815i	$-0.995581\pi$
$761$	−14.1234	−	24.4625i	−0.511974	−	0.886764i	0.487930	−	0.872883i	$-0.337752\pi$
$762$	−5.45513	−	5.66932i	−0.197618	−	0.205378i
$763$	−4.27023			−0.154593
$764$	24.2394	+	0.933763i	0.876949	+	0.0337823i
$765$	−0.416359	+	0.240385i	−0.0150535	+	0.00869114i
$766$	−31.8912	+	7.89047i	−1.15228	+	0.285094i
$767$	71.1991			2.57085
$768$	−10.4709	−	8.42612i	−0.377835	−	0.304051i
$769$			8.06031i			0.290662i	0.989383	+	0.145331i	$0.0464247\pi$
$769$			8.06031i			0.290662i	−0.989383	+	0.145331i	$0.953575\pi$
$770$	0.105773	−	0.366385i	0.00381179	−	0.0132036i
$771$	13.8012			0.497037
$772$	−21.7441	−	0.837639i	−0.782587	−	0.0301473i
$773$	24.6510	+	14.2323i	0.886635	+	0.511899i	0.872840	−	0.488006i	$-0.162276\pi$
$773$	24.6510	+	14.2323i	0.886635	+	0.511899i	0.0137947	+	0.999905i	$0.495609\pi$
$774$	−4.51049	−	1.30215i	−0.162126	−	0.0468047i
$775$	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
$780$	−5.20651	−	0.200568i	−0.186423	−	0.00718150i
$781$	−5.67799	−	3.27819i	−0.203174	−	0.117303i
$782$	−4.41492	−	1.27456i	−0.157877	−	0.0455780i
$783$			24.3834i			0.871391i
$784$	−11.7105	−	24.4550i	−0.418231	−	0.873392i
$785$			0.822628i			0.0293609i
$786$	−0.439657	−	0.456920i	−0.0156821	−	0.0162978i
$787$			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
$790$	−1.33007	+	4.60723i	−0.0473219	+	0.163918i
$791$		−	3.45821i		−	0.122960i
$792$	7.07106	+	2.33978i	0.251259	+	0.0831405i
$793$	16.5838	+	28.7240i	0.588908	+	1.02002i
$794$	7.72475	+	8.02805i	0.274141	+	0.284905i
$795$	1.67001	−	2.89255i	0.0592293	−	0.102588i
$796$	−0.377214	−	0.0145313i	−0.0133700	−	0.000515047i
$797$	−25.8463	−	44.7671i	−0.915523	−	1.58573i	−0.806134	−	0.591733i	$-0.798444\pi$
$797$	−25.8463	−	44.7671i	−0.915523	−	1.58573i	−0.109388	−	0.993999i	$-0.534889\pi$
$798$	−1.08231	−	1.12481i	−0.0383134	−	0.0398177i
$799$	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
$802$	−27.6236	−	28.7082i	−0.975423	−	1.01372i
$803$			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	0.408801	−	0.912623i	$-0.365947\pi$
$809$	−5.03875	−	2.90912i	−0.177153	−	0.102279i	−0.585954	+	0.810344i	$0.699280\pi$
$810$	−2.13508	−	0.616383i	−0.0750192	−	0.0216575i
$811$	−21.5536	−	12.4440i	−0.756850	−	0.436967i	0.0713139	−	0.997454i	$-0.477281\pi$
$811$	−21.5536	−	12.4440i	−0.756850	−	0.436967i	−0.828163	+	0.560487i	$0.810614\pi$
$812$	−4.36610	−	2.75013i	−0.153220	−	0.0965105i
$813$		−	12.9747i		−	0.455042i
$814$	−9.41054	−	2.98648i	−0.329839	−	0.104676i
$815$	10.1673			0.356145
$816$	−1.40601	−	0.108487i	−0.0492200	−	0.00379780i
$817$	−2.02003	+	3.49879i	−0.0706719	+	0.122407i
$818$	−13.6615	+	47.3219i	−0.477663	+	1.65457i
$819$	−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	−0.954209	−	0.299140i	$-0.903300\pi$
$821$	−48.4345	−	27.9637i	−1.69038	−	0.975939i	−0.736167	−	0.676800i	$-0.763366\pi$
$822$	6.51899	−	1.61292i	0.227376	−	0.0562570i
$823$	24.7431	+	42.8563i	0.862489	+	1.49388i	0.869519	+	0.493900i	$0.164429\pi$
$823$	24.7431	+	42.8563i	0.862489	+	1.49388i	−0.00702958	+	0.999975i	$0.502238\pi$
$824$	−17.2512	+	15.3653i	−0.600973	+	0.535276i
$825$	−4.58016			−0.159461
$826$	5.49659	−	5.28892i	0.191251	−	0.184025i
$827$	−0.104098	+	0.180303i	−0.00361985	+	0.00626976i	−0.867830	−	0.496862i	$-0.834486\pi$
$827$	−0.104098	+	0.180303i	−0.00361985	+	0.00626976i	0.864210	+	0.503132i	$0.167819\pi$
$828$	−16.5659	−	31.4281i	−0.575704	−	1.09220i
$829$	−1.32569	−	2.29616i	−0.0460431	−	0.0797490i	0.842085	−	0.539344i	$-0.181328\pi$
$829$	−1.32569	−	2.29616i	−0.0460431	−	0.0797490i	−0.888128	+	0.459595i	$0.847994\pi$
$830$	−6.49742	−	6.75254i	−0.225529	−	0.234384i
$831$	−0.333822	+	0.192732i	−0.0115802	+	0.00668581i
$832$	39.8857	+	29.6415i	1.38279	+	1.02763i
$833$	−2.46376	−	1.42245i	−0.0853643	−	0.0492851i
$834$	17.2656	−	16.6133i	0.597859	−	0.575271i
$835$	−2.60992	+	1.50684i	−0.0903201	+	0.0521463i
$836$	3.41607	−	5.42335i	0.118147	−	0.187570i
$837$	32.9398			1.13857
$838$	−3.02507	+	10.4785i	−0.104499	+	0.361974i
$839$	3.80615	+	6.59245i	0.131403	+	0.227597i	0.924218	−	0.381866i	$-0.124718\pi$
$839$	3.80615	+	6.59245i	0.131403	+	0.227597i	−0.792815	+	0.609463i	$0.791385\pi$
$840$	−0.416843	+	0.371274i	−0.0143824	+	0.0128102i
$841$	1.05986			0.0365470
$842$	−12.3834	+	11.9155i	−0.426759	+	0.410636i
$843$	8.18653			0.281959
$844$	−17.1206	−	0.659531i	−0.589316	−	0.0227020i
$845$	12.7743			0.439450
$846$	1.28724	+	0.371617i	0.0442562	+	0.0127764i
$847$	2.27823	−	3.94601i	0.0782809	−	0.135587i
$848$	−28.7312	+	13.7582i	−0.986635	+	0.472458i
$849$	−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	$-0.163110\pi$
$853$	0.326333	+	0.565225i	0.0111734	+	0.0193529i	−0.860385	+	0.509645i	$0.829777\pi$
$854$	3.41399	+	0.985594i	0.116824	+	0.0337263i
$855$	−1.59933	+	2.77012i	−0.0546959	+	0.0947360i
$856$	−6.54721	−	31.6407i	−0.223779	−	1.08146i
$857$		−	25.0754i		−	0.856560i	−0.903646	−	0.428280i	$-0.859120\pi$
$857$		−	25.0754i		−	0.856560i	0.903646	−	0.428280i	$-0.140880\pi$
$858$	8.13703	+	2.34910i	0.277794	+	0.0801970i
$859$	45.7376			1.56055			0.780273	−	0.625439i	$-0.215080\pi$
$859$	45.7376			1.56055			0.780273	+	0.625439i	$0.215080\pi$
$860$	1.22247	+	0.770011i	0.0416858	+	0.0262572i
$861$			1.19392i			0.0406885i
$862$	1.39689	−	0.345617i	0.0475784	−	0.0117718i
$863$	−27.9001	−	48.3245i	−0.949732	−	1.64498i	−0.745988	−	0.665960i	$-0.768022\pi$
$863$	−27.9001	−	48.3245i	−0.949732	−	1.64498i	−0.203744	−	0.979024i	$-0.565311\pi$
$864$	−15.9973	−	19.4167i	−0.544238	−	0.660571i
$865$		−	1.60666i		−	0.0546281i
$866$	21.0719	−	20.2758i	0.716053	−	0.689000i
$867$	12.2389	−	7.06611i	0.415654	−	0.239978i
$868$	−3.71518	+	5.89822i	−0.126102	+	0.200199i
$869$	3.89738	−	6.75046i	0.132210	−	0.228994i
$870$	0.901960	−	3.12429i	0.0305793	−	0.105923i
$871$	−53.8289	+	31.0781i	−1.82392	+	1.05304i
$872$	−8.06297	+	24.3671i	−0.273047	+	0.825175i
$873$	−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
$876$	4.55795	−	7.23619i	0.153999	−	0.244488i
$877$			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	−0.982229	−	0.187688i	$-0.939900\pi$
$881$	−9.75254	+	16.8919i	−0.328571	+	0.569102i	0.653657	+	0.756791i	$0.273234\pi$
$882$	−5.28261	−	21.3509i	−0.177875	−	0.718922i
$883$	23.1064	−	40.0215i	0.777592	−	1.34683i	−0.155733	−	0.987799i	$-0.549774\pi$
$883$	23.1064	−	40.0215i	0.777592	−	1.34683i	0.933326	−	0.359031i	$-0.116893\pi$
$884$	5.21017	+	0.200709i	0.175237	+	0.00675058i
$885$	4.16311	+	2.40357i	0.139942	+	0.0807953i
$886$	21.7463	+	22.6002i	0.730582	+	0.759267i
$887$	−34.7080			−1.16538			−0.582690	−	0.812695i	$-0.698000\pi$
$887$	−34.7080			−1.16538			−0.582690	+	0.812695i	$0.698000\pi$
$888$	9.32568	+	11.0406i	0.312949	+	0.370498i
$889$	3.11654			0.104526
$890$	−5.67989	−	5.90291i	−0.190390	−	0.197866i
$891$	3.12830	+	1.80613i	0.104802	+	0.0605075i
$892$	−0.0230986	+	0.599611i	−0.000773397	+	0.0200765i
$893$	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
$900$	−18.4457	−	11.6186i	−0.614858	−	0.387288i
$901$	−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
$904$	−19.7335	−	6.52973i	−0.656327	−	0.217176i
$905$	5.71218	−	3.29793i	0.189879	−	0.109627i
$906$	−3.25072	+	11.2601i	−0.107998	+	0.374093i
$907$	−2.24528	+	3.88894i	−0.0745534	+	0.129130i	−0.900892	−	0.434043i	$-0.857086\pi$
$907$	−2.24528	+	3.88894i	−0.0745534	+	0.129130i	0.826339	+	0.563174i	$0.190420\pi$
$908$	−24.1365	−	15.2031i	−0.800998	−	0.504534i
$909$	−9.91811	+	5.72622i	−0.328963	+	0.189927i
$910$	1.48725	−	1.43106i	0.0493020	−	0.0474393i
$911$		−	24.3620i		−	0.807150i	−0.914947	−	0.403575i	$-0.867767\pi$
$911$		−	24.3620i		−	0.807150i	0.914947	−	0.403575i	$-0.132233\pi$
$912$	−8.46207	+	4.05213i	−0.280207	+	0.134179i
$913$	7.61606	+	13.1914i	0.252055	+	0.436571i
$914$	34.7455	−	8.59667i	1.14928	−	0.284353i
$915$			2.23937i			0.0740314i
$916$	21.1106	−	33.5152i	0.697515	−	1.10737i
$917$	0.251179			0.00829465
$918$	−2.53608	−	0.732148i	−0.0837031	−	0.0241645i
$919$		−	3.85794i		−	0.127262i	−0.997974	−	0.0636308i	$-0.979732\pi$
$919$		−	3.85794i		−	0.127262i	0.997974	−	0.0636308i	$-0.0202680\pi$
$920$	2.21540	+	10.7064i	0.0730396	+	0.352978i
$921$	−8.40594	+	14.5595i	−0.276985	+	0.479752i
$922$	−0.935763	−	0.270148i	−0.0308177	−	0.00889685i
$923$	−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
$928$	−23.9370	+	19.7215i	−0.785770	+	0.647388i
$929$	−4.55848	+	7.89552i	−0.149559	+	0.259044i	−0.931064	−	0.364855i	$-0.881119\pi$
$929$	−4.55848	+	7.89552i	−0.149559	+	0.259044i	0.781506	+	0.623898i	$0.214452\pi$
$930$	−4.22065	−	1.21847i	−0.138400	−	0.0399552i
$931$	−18.9277			−0.620331
$932$	−0.963396	+	25.0086i	−0.0315571	+	0.819184i
$933$	24.3277			0.796454
$934$	−22.0811	+	21.2469i	−0.722516	+	0.695219i
$935$	−0.240496			−0.00786505
$936$	26.8113	+	30.1020i	0.876355	+	0.983915i
$937$	15.6460	+	27.0996i	0.511132	+	0.885307i	0.999917	+	0.0129024i	$0.00410709\pi$
$937$	15.6460	+	27.0996i	0.511132	+	0.885307i	−0.488785	+	0.872405i	$0.662560\pi$
$938$	−1.84701	+	6.39784i	−0.0603070	+	0.208897i
$939$	−2.41659			−0.0788623
$940$	−0.348878	−	0.219752i	−0.0113791	−	0.00716751i
$941$	−19.8092	+	11.4369i	−0.645763	+	0.372831i	−0.786831	−	0.617169i	$-0.788280\pi$
$941$	−19.8092	+	11.4369i	−0.645763	+	0.372831i	0.141068	+	0.990000i	$0.454946\pi$
$942$	−1.41042	+	1.35714i	−0.0459541	+	0.0442179i
$943$	20.2512	+	11.6920i	0.659469	+	0.380744i
$944$	−19.8015	−	41.3516i	−0.644485	−	1.34588i
$945$	−0.904901	+	0.522445i	−0.0294364	+	0.0169951i
$946$	−1.62831	−	1.69225i	−0.0529411	−	0.0550198i
$947$	1.61262	+	2.79314i	0.0524030	+	0.0907647i	0.891037	−	0.453931i	$-0.149979\pi$
$947$	1.61262	+	2.79314i	0.0524030	+	0.0907647i	−0.838634	+	0.544695i	$0.816645\pi$
$948$	−10.0936	+	5.32036i	−0.327823	+	0.172797i
$949$	−15.8102	+	27.3841i	−0.513221	+	0.888925i
$950$	−13.5183	+	13.0076i	−0.438592	+	0.422022i
$951$	−7.24306			−0.234872
$952$	0.417136	−	0.371535i	0.0135194	−	0.0120415i
$953$	18.6742	+	32.3447i	0.604917	+	1.04775i	0.992065	+	0.125729i	$0.0401269\pi$
$953$	18.6742	+	32.3447i	0.604917	+	1.04775i	−0.387148	+	0.922018i	$0.626540\pi$
$954$	−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
$958$	−4.09529	+	14.1857i	−0.132313	+	0.458318i
$959$	−1.33009	+	2.30379i	−0.0429509	+	0.0743932i
$960$	1.33152	+	3.07966i	0.0429746	+	0.0993955i
$961$	−23.8583			−0.769622
$962$	−36.0267	−	39.4641i	−1.16155	−	1.27237i
$963$		−	26.2102i		−	0.844613i
$964$	29.3585	−	46.6095i	0.945572	−	1.50119i
$965$	4.70440	+	2.71609i	0.151440	+	0.0874340i
$966$	−4.15821	−	1.20045i	−0.133788	−	0.0386237i
$967$	24.7361	+	14.2814i	0.795460	+	0.459259i	0.841881	−	0.539663i	$-0.181448\pi$
$967$	24.7361	+	14.2814i	0.795460	+	0.459259i	−0.0464213	+	0.998922i	$0.514782\pi$
$968$	−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	$-0.456235\pi$
$971$	33.1378	−	19.1321i	1.06344	−	0.613979i	0.926382	+	0.376584i	$0.122901\pi$
$972$	−14.9081	−	28.2831i	−0.478178	−	0.907180i
$973$			9.49126i			0.304276i
$974$	6.51603	+	6.77188i	0.208787	+	0.216985i
$975$	−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	−0.336767	−	0.941588i	$-0.609333\pi$
$977$	9.69869	−	5.59954i	0.310288	−	0.179145i	0.647056	+	0.762443i	$0.276000\pi$
$978$	16.7736	+	17.4322i	0.536361	+	0.557420i
$979$	6.65778	+	11.5316i	0.212784	+	0.368552i
$980$	−0.260556	+	6.76373i	−0.00832317	+	0.216059i
$981$	−10.4102	+	18.0309i	−0.332371	+	0.575683i
$982$	10.3708	+	10.7780i	0.330945	+	0.343940i
$983$	9.97280	+	17.2734i	0.318083	+	0.550936i	0.980088	−	0.198564i	$-0.0636276\pi$
$983$	9.97280	+	17.2734i	0.318083	+	0.550936i	−0.662005	+	0.749499i	$0.730294\pi$
$984$	6.81282	+	2.25433i	0.217185	+	0.0718654i
$985$		−	8.19836i		−	0.261221i
$986$	−0.902593	+	3.12648i	−0.0287444	+	0.0995676i
$987$	0.141354	−	0.0816106i	0.00449934	−	0.00259769i
$988$	30.6878	−	16.1757i	0.976310	−	0.514617i
$989$			11.2018i			0.356196i
$990$	−1.28919	−	1.33981i	−0.0409733	−	0.0425821i
$991$		−	36.3527i		−	1.15478i	−0.816467	−	0.577391i	$-0.804071\pi$
$991$		−	36.3527i		−	1.15478i	0.816467	−	0.577391i	$-0.195929\pi$
$992$	26.6420	+	32.3368i	0.845884	+	1.02669i
$993$		−	6.97396i		−	0.221312i
$994$	−3.65249	−	1.05445i	−0.115850	−	0.0334451i
$995$	0.0816115	+	0.0471184i	0.00258726	+	0.00149375i
$996$	0.858287	−	22.2801i	0.0271959	−	0.705972i
$997$	−9.16192	−	15.8689i	−0.290161	−	0.502574i	0.683687	−	0.729776i	$-0.260376\pi$
$997$	−9.16192	−	15.8689i	−0.290161	−	0.502574i	−0.973848	+	0.227202i	$0.927042\pi$
$998$	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.85.28	✓	72
4.3	odd	2		1184.2.y.a.529.24		72
8.3	odd	2		1184.2.y.a.529.13		72
8.5	even	2	inner	296.2.q.a.85.34	yes	72
37.27	even	6	inner	296.2.q.a.101.34	yes	72
148.27	odd	6		1184.2.y.a.1137.13		72
296.27	odd	6		1184.2.y.a.1137.24		72
296.101	even	6	inner	296.2.q.a.101.28	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.q.a.85.28	✓	72	1.1	even	1	trivial
296.2.q.a.85.34	yes	72	8.5	even	2	inner
296.2.q.a.101.28	yes	72	296.101	even	6	inner
296.2.q.a.101.34	yes	72	37.27	even	6	inner
1184.2.y.a.529.13		72	8.3	odd	2
1184.2.y.a.529.24		72	4.3	odd	2
1184.2.y.a.1137.13		72	148.27	odd	6
1184.2.y.a.1137.24		72	296.27	odd	6

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+(1.01907 - 0.980564i) q^{2} +(-0.727471 - 0.420006i) q^{3} +(0.0769881 - 1.99852i) 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} +(-0.895395 + 1.42153i) q^{12} +(3.10587 - 5.37952i) q^{13} +(-0.159836 - 0.646015i) q^{14} +(0.363209 - 0.209699i) q^{15} +(-3.98815 - 0.307724i) q^{16} +(-0.363464 + 0.209846i) q^{17} +(-3.11744 - 0.899981i) q^{18} +(-1.39615 + 2.41820i) q^{19} +(0.844911 + 0.532195i) q^{20} +(-0.342330 + 0.197644i) q^{21} +(-1.12541 - 1.16960i) q^{22} +7.74213i q^{23} +(0.481433 + 2.32662i) q^{24} +(2.37536 + 4.11425i) q^{25} +(-2.10988 - 8.52759i) q^{26} +4.44734i q^{27} +(-0.796343 - 0.501602i) q^{28} +5.48269 q^{29} +(0.164510 - 0.569846i) q^{30} -7.40664i q^{31} +(-4.36592 + 3.59704i) q^{32} +(-0.482049 + 0.834933i) q^{33} +(-0.164626 + 0.570247i) 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} +(1.38287 - 0.286149i) q^{40} +(1.51018 - 2.61571i) q^{41} +(-0.155054 + 0.537089i) q^{42} +1.44686 q^{43} +(-2.29374 - 0.0883607i) q^{44} +1.14553 q^{45} +(7.59165 + 7.88973i) q^{46} -0.412916 q^{47} +(2.77201 + 1.89890i) q^{48} +(3.38928 + 5.87040i) q^{49} +(6.45493 + 1.86349i) q^{50} +0.352546 q^{51} +(-10.5120 - 6.62129i) q^{52} +(6.89691 - 3.98194i) q^{53} +(4.36090 + 4.53213i) q^{54} +(0.496258 + 0.286515i) q^{55} +(-1.30338 + 0.269700i) q^{56} +(2.03131 - 1.17278i) q^{57} +(5.58722 - 5.37613i) q^{58} +(5.73102 + 9.92641i) q^{59} +(-0.391124 - 0.742024i) q^{60} +(-2.66975 + 4.62415i) q^{61} +(-7.26268 - 7.54785i) 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} +(0.319229 + 0.0921591i) q^{70} +(2.85626 - 4.94719i) q^{71} +(-2.03863 + 6.16096i) q^{72} -5.09043 q^{73} +(2.60210 - 8.19933i) q^{74} -3.99066i q^{75} +(4.72533 + 2.97640i) q^{76} +(-0.467731 - 0.270045i) q^{77} +(-2.04675 + 7.08973i) 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} +(1.47444 - 1.41874i) q^{86} +(-3.98850 - 2.30276i) q^{87} +(-2.42411 + 2.15911i) q^{88} +(-10.0474 + 5.80087i) q^{89} +(1.16737 - 1.12327i) q^{90} +(-1.46155 - 2.53147i) q^{91} +(15.4728 + 0.596052i) q^{92} +(-3.11083 + 5.38811i) q^{93} +(-0.420789 + 0.404891i) q^{94} +(-0.697063 - 1.20735i) q^{95} +(4.68686 - 0.783031i) q^{96} -8.36880i q^{97} +(9.21020 + 2.65892i) 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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