LMFDB - Embedded newform 184.2.j.a.43.20

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [184,2,Mod(11,184)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(184, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([11, 11, 9])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("184.11"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.j (of order $22$, degree $10$, 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:	$1.46924739719$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			43.20
Character	$\chi$	$=$	184.43
Dual form			184.2.j.a.107.20

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.35643 + 0.400124i) q^{2} +(-0.871631 + 1.90861i) q^{3} +(1.67980 + 1.08548i) q^{4} +(1.73345 - 2.00050i) q^{5} +(-1.94599 + 2.24013i) q^{6} +(-0.195105 + 0.125386i) q^{7} +(1.84421 + 2.14450i) q^{8} +(-0.918456 - 1.05995i) q^{9} +(3.15175 - 2.01995i) q^{10} +(-5.40936 - 0.777748i) q^{11} +(-3.53592 + 2.25994i) q^{12} +(-0.562994 + 0.876035i) q^{13} +(-0.314817 + 0.0920117i) q^{14} +(2.30725 + 5.05217i) q^{15} +(1.64347 + 3.64678i) q^{16} +(1.07685 - 3.66741i) q^{17} +(-0.821707 - 1.80525i) q^{18} +(-0.315114 - 1.07318i) q^{19} +(5.08335 - 1.47883i) q^{20} +(-0.0692537 - 0.481670i) q^{21} +(-7.02622 - 3.21937i) q^{22} +(1.59750 - 4.52195i) q^{23} +(-5.70048 + 1.65065i) q^{24} +(-0.285605 - 1.98643i) q^{25} +(-1.11418 + 0.963013i) q^{26} +(-3.21609 + 0.944328i) q^{27} +(-0.463842 - 0.00115820i) q^{28} +(0.188299 - 0.641289i) q^{29} +(1.10813 + 7.77610i) q^{30} +(7.20592 - 3.29083i) q^{31} +(0.770086 + 5.60419i) q^{32} +(6.19938 - 9.64643i) q^{33} +(2.92808 - 4.54371i) q^{34} +(-0.0873683 + 0.607660i) q^{35} +(-0.392265 - 2.77748i) q^{36} +(-6.74958 - 7.78943i) q^{37} +(0.00197482 - 1.58178i) q^{38} +(-1.18128 - 1.83811i) q^{39} +(7.48693 + 0.0280419i) q^{40} +(-2.98130 + 3.44060i) q^{41} +(0.0987898 - 0.681061i) q^{42} +(6.46217 + 2.95117i) q^{43} +(-8.24242 - 7.17821i) q^{44} -3.71254 q^{45} +(3.97623 - 5.49450i) q^{46} -3.52533i q^{47} +(-8.39277 - 0.0419131i) q^{48} +(-2.88556 + 6.31850i) q^{49} +(0.407414 - 2.80873i) q^{50} +(6.06102 + 5.25190i) q^{51} +(-1.89664 + 0.860448i) q^{52} +(-4.45868 + 2.86542i) q^{53} +(-4.74024 - 0.00591810i) q^{54} +(-10.9327 + 9.47326i) q^{55} +(-0.628706 - 0.187165i) q^{56} +(2.32294 + 0.333988i) q^{57} +(0.512010 - 0.794520i) q^{58} +(6.52016 + 4.19025i) q^{59} +(-1.60831 + 10.9911i) q^{60} +(3.83630 + 8.40033i) q^{61} +(11.0911 - 1.58052i) q^{62} +(0.312099 + 0.0916406i) q^{63} +(-1.19780 + 7.90982i) q^{64} +(0.776593 + 2.64483i) q^{65} +(12.2688 - 10.6042i) q^{66} +(-14.5473 + 2.09159i) q^{67} +(5.78978 - 4.99162i) q^{68} +(7.23819 + 6.99047i) q^{69} +(-0.361648 + 0.789289i) q^{70} +(-6.17276 + 0.887509i) q^{71} +(0.579255 - 3.92441i) q^{72} +(-7.57709 + 2.22483i) q^{73} +(-6.03859 - 13.2665i) q^{74} +(4.04025 + 1.18633i) q^{75} +(0.635585 - 2.14478i) q^{76} +(1.15291 - 0.526518i) q^{77} +(-0.866855 - 2.96593i) q^{78} +(2.74726 + 1.76556i) q^{79} +(10.1443 + 3.03373i) q^{80} +(1.59969 - 11.1261i) q^{81} +(-5.42059 + 3.47405i) q^{82} +(4.93001 - 4.27188i) q^{83} +(0.406510 - 0.884283i) q^{84} +(-5.47000 - 8.51149i) q^{85} +(7.58464 + 6.58872i) q^{86} +(1.05984 + 0.918357i) q^{87} +(-8.30809 - 13.0347i) q^{88} +(-1.81651 - 0.829570i) q^{89} +(-5.03579 - 1.48547i) q^{90} -0.241511i q^{91} +(7.59196 - 5.86192i) q^{92} +16.6217i q^{93} +(1.41057 - 4.78187i) q^{94} +(-2.69313 - 1.22991i) q^{95} +(-11.3674 - 3.41500i) q^{96} +(11.8432 + 10.2622i) q^{97} +(-6.44224 + 7.41601i) q^{98} +(4.14388 + 6.44800i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26}+ \cdots - 22 q^{99}+O(q^{100}) $ 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{22}\right)$

Coefficient data

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

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

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

$2$	1.35643	+	0.400124i	0.959140	+	0.282930i
$2$	1.35643	+	0.400124i	0.959140	+	0.282930i
$3$	−0.871631	+	1.90861i	−0.503237	+	1.10193i	0.472167	+	0.881509i	$0.343472\pi$
$3$	−0.871631	+	1.90861i	−0.503237	+	1.10193i	−0.975404	+	0.220425i	$0.929255\pi$
$4$	1.67980	+	1.08548i	0.839901	+	0.542740i
$5$	1.73345	−	2.00050i	0.775221	−	0.894653i	−0.221534	−	0.975153i	$-0.571106\pi$
$5$	1.73345	−	2.00050i	0.775221	−	0.894653i	0.996755	+	0.0805000i	$0.0256517\pi$
$6$	−1.94599	+	2.24013i	−0.794445	+	0.914529i
$7$	−0.195105	+	0.125386i	−0.0737428	+	0.0473916i	−0.576993	−	0.816749i	$-0.695774\pi$
$7$	−0.195105	+	0.125386i	−0.0737428	+	0.0473916i	0.503250	+	0.864141i	$0.332138\pi$
$8$	1.84421	+	2.14450i	0.652026	+	0.758197i
$9$	−0.918456	−	1.05995i	−0.306152	−	0.353318i
$10$	3.15175	−	2.01995i	0.996670	−	0.638764i
$11$	−5.40936	−	0.777748i	−1.63098	−	0.234500i	−0.734832	−	0.678249i	$-0.762739\pi$
$11$	−5.40936	−	0.777748i	−1.63098	−	0.234500i	−0.896151	+	0.443749i	$0.853648\pi$
$12$	−3.53592	+	2.25994i	−1.02073	+	0.652389i
$13$	−0.562994	+	0.876035i	−0.156146	+	0.242969i	−0.910509	−	0.413490i	$-0.864310\pi$
$13$	−0.562994	+	0.876035i	−0.156146	+	0.242969i	0.754362	+	0.656458i	$0.227946\pi$
$14$	−0.314817	+	0.0920117i	−0.0841383	+	0.0245912i
$15$	2.30725	+	5.05217i	0.595729	+	1.30446i
$16$	1.64347	+	3.64678i	0.410867	+	0.911695i
$17$	1.07685	−	3.66741i	0.261174	−	0.889477i	−0.719610	−	0.694379i	$-0.755679\pi$
$17$	1.07685	−	3.66741i	0.261174	−	0.889477i	0.980784	−	0.195098i	$-0.0625025\pi$
$18$	−0.821707	−	1.80525i	−0.193678	−	0.425501i
$19$	−0.315114	−	1.07318i	−0.0722921	−	0.246204i	0.915417	−	0.402506i	$-0.131861\pi$
$19$	−0.315114	−	1.07318i	−0.0722921	−	0.246204i	−0.987709	+	0.156302i	$0.950043\pi$
$20$	5.08335	−	1.47883i	1.13667	−	0.330676i
$21$	−0.0692537	−	0.481670i	−0.0151124	−	0.105109i
$22$	−7.02622	−	3.21937i	−1.49799	−	0.686373i
$23$	1.59750	−	4.52195i	0.333102	−	0.942891i
$23$	1.59750	−	4.52195i	0.333102	−	0.942891i
$24$	−5.70048	+	1.65065i	−1.16361	+	0.336937i
$25$	−0.285605	−	1.98643i	−0.0571211	−	0.397286i
$26$	−1.11418	+	0.963013i	−0.218509	+	0.188862i
$27$	−3.21609	+	0.944328i	−0.618936	+	0.181736i
$28$	−0.463842	−	0.00115820i	−0.0876580	−	0.000218879i
$29$	0.188299	−	0.641289i	0.0349663	−	0.119084i	−0.940161	−	0.340732i	$-0.889325\pi$
$29$	0.188299	−	0.641289i	0.0349663	−	0.119084i	0.975127	+	0.221647i	$0.0711434\pi$
$30$	1.10813	+	7.77610i	0.202315	+	1.41971i
$31$	7.20592	−	3.29083i	1.29422	−	0.591051i	0.355161	−	0.934805i	$-0.384426\pi$
$31$	7.20592	−	3.29083i	1.29422	−	0.591051i	0.939060	+	0.343754i	$0.111699\pi$
$32$	0.770086	+	5.60419i	0.136133	+	0.990691i
$33$	6.19938	−	9.64643i	1.07917	−	1.67923i
$34$	2.92808	−	4.54371i	0.502162	−	0.779239i
$35$	−0.0873683	+	0.607660i	−0.0147679	+	0.102713i
$36$	−0.392265	−	2.77748i	−0.0653775	−	0.462913i
$37$	−6.74958	−	7.78943i	−1.10962	−	1.28057i	−0.956297	−	0.292398i	$-0.905547\pi$
$37$	−6.74958	−	7.78943i	−1.10962	−	1.28057i	−0.153327	−	0.988176i	$-0.548999\pi$
$38$	0.00197482	−	1.58178i	0.000320357	−	0.256598i
$39$	−1.18128	−	1.83811i	−0.189157	−	0.294334i
$40$	7.48693	+	0.0280419i	1.18379	+	0.00443382i
$41$	−2.98130	+	3.44060i	−0.465601	+	0.537332i	−0.939183	−	0.343418i	$-0.888415\pi$
$41$	−2.98130	+	3.44060i	−0.465601	+	0.537332i	0.473582	+	0.880750i	$0.342961\pi$
$42$	0.0987898	−	0.681061i	0.0152436	−	0.105090i
$43$	6.46217	+	2.95117i	0.985471	+	0.450050i	0.841925	−	0.539594i	$-0.181422\pi$
$43$	6.46217	+	2.95117i	0.985471	+	0.450050i	0.143546	+	0.989644i	$0.454150\pi$
$44$	−8.24242	−	7.17821i	−1.24259	−	1.08216i
$45$	−3.71254			−0.553432
$46$	3.97623	−	5.49450i	0.586264	−	0.810120i
$47$		−	3.52533i		−	0.514223i	−0.966382	−	0.257111i	$-0.917229\pi$
$47$		−	3.52533i		−	0.514223i	0.966382	−	0.257111i	$-0.0827707\pi$
$48$	−8.39277	−	0.0419131i	−1.21139	−	0.00604964i
$49$	−2.88556	+	6.31850i	−0.412223	+	0.902642i
$50$	0.407414	−	2.80873i	0.0576170	−	0.397214i
$51$	6.06102	+	5.25190i	0.848713	+	0.735414i
$52$	−1.89664	+	0.860448i	−0.263016	+	0.119323i
$53$	−4.45868	+	2.86542i	−0.612447	+	0.393596i	−0.809774	−	0.586742i	$-0.800410\pi$
$53$	−4.45868	+	2.86542i	−0.612447	+	0.393596i	0.197327	+	0.980338i	$0.436774\pi$
$54$	−4.74024	−	0.00591810i	−0.645065	−	0.000805351i
$55$	−10.9327	+	9.47326i	−1.47417	+	1.27737i
$56$	−0.628706	−	0.187165i	−0.0840144	−	0.0250110i
$57$	2.32294	+	0.333988i	0.307681	+	0.0442378i
$58$	0.512010	−	0.794520i	0.0672302	−	0.104326i
$59$	6.52016	+	4.19025i	0.848853	+	0.545525i	0.891217	−	0.453578i	$-0.149853\pi$
$59$	6.52016	+	4.19025i	0.848853	+	0.545525i	−0.0423639	+	0.999102i	$0.513489\pi$
$60$	−1.60831	+	10.9911i	−0.207631	+	1.41895i
$61$	3.83630	+	8.40033i	0.491188	+	1.07555i	0.979234	+	0.202734i	$0.0649827\pi$
$61$	3.83630	+	8.40033i	0.491188	+	1.07555i	−0.488046	+	0.872818i	$0.662290\pi$
$62$	11.0911	−	1.58052i	1.40857	−	0.200727i
$63$	0.312099	+	0.0916406i	0.0393208	+	0.0115456i
$64$	−1.19780	+	7.90982i	−0.149725	+	0.988728i
$65$	0.776593	+	2.64483i	0.0963245	+	0.328051i
$66$	12.2688	−	10.6042i	1.51018	−	1.30528i
$67$	−14.5473	+	2.09159i	−1.77724	+	0.255529i	−0.951308	−	0.308240i	$-0.900260\pi$
$67$	−14.5473	+	2.09159i	−1.77724	+	0.255529i	−0.825932	+	0.563769i	$0.809351\pi$
$68$	5.78978	−	4.99162i	0.702114	−	0.605323i
$69$	7.23819	+	6.99047i	0.871375	+	0.841553i
$70$	−0.361648	+	0.789289i	−0.0432252	+	0.0943381i
$71$	−6.17276	+	0.887509i	−0.732572	+	0.105328i	−0.498498	−	0.866891i	$-0.666115\pi$
$71$	−6.17276	+	0.887509i	−0.732572	+	0.105328i	−0.234074	+	0.972219i	$0.575206\pi$
$72$	0.579255	−	3.92441i	0.0682659	−	0.462496i
$73$	−7.57709	+	2.22483i	−0.886832	+	0.260397i	−0.693259	−	0.720689i	$-0.743826\pi$
$73$	−7.57709	+	2.22483i	−0.886832	+	0.260397i	−0.193573	+	0.981086i	$0.562008\pi$
$74$	−6.03859	−	13.2665i	−0.701972	−	1.54220i
$75$	4.04025	+	1.18633i	0.466528	+	0.136985i
$76$	0.635585	−	2.14478i	0.0729066	−	0.246023i
$77$	1.15291	−	0.526518i	0.131387	−	0.0600023i
$78$	−0.866855	−	2.96593i	−0.0981520	−	0.335826i
$79$	2.74726	+	1.76556i	0.309091	+	0.198641i	0.685985	−	0.727616i	$-0.259372\pi$
$79$	2.74726	+	1.76556i	0.309091	+	0.198641i	−0.376894	+	0.926256i	$0.623008\pi$
$80$	10.1443	+	3.03373i	1.13416	+	0.339182i
$81$	1.59969	−	11.1261i	0.177743	−	1.23623i
$82$	−5.42059	+	3.47405i	−0.598604	+	0.383644i
$83$	4.93001	−	4.27188i	0.541139	−	0.468900i	−0.340884	−	0.940105i	$-0.610726\pi$
$83$	4.93001	−	4.27188i	0.541139	−	0.468900i	0.882023	+	0.471206i	$0.156181\pi$
$84$	0.406510	−	0.884283i	0.0443539	−	0.0964832i
$85$	−5.47000	−	8.51149i	−0.593305	−	0.923201i
$86$	7.58464	+	6.58872i	0.817873	+	0.710480i
$87$	1.05984	+	0.918357i	0.113627	+	0.0984583i
$88$	−8.30809	−	13.0347i	−0.885645	−	1.38951i
$89$	−1.81651	−	0.829570i	−0.192549	−	0.0879343i	0.316807	−	0.948490i	$-0.397389\pi$
$89$	−1.81651	−	0.829570i	−0.192549	−	0.0879343i	−0.509356	+	0.860556i	$0.670116\pi$
$90$	−5.03579	−	1.48547i	−0.530819	−	0.156583i
$91$		−	0.241511i		−	0.0253172i
$92$	7.59196	−	5.86192i	0.791517	−	0.611147i
$93$			16.6217i			1.72358i
$94$	1.41057	−	4.78187i	0.145489	−	0.493212i
$95$	−2.69313	−	1.22991i	−0.276310	−	0.126186i
$96$	−11.3674	−	3.41500i	−1.16018	−	0.348542i
$97$	11.8432	+	10.2622i	1.20249	+	1.04197i	0.998007	+	0.0630964i	$0.0200976\pi$
$97$	11.8432	+	10.2622i	1.20249	+	1.04197i	0.204485	+	0.978870i	$0.434448\pi$
$98$	−6.44224	+	7.41601i	−0.650765	+	0.749131i
$99$	4.14388	+	6.44800i	0.416475	+	0.648048i
$100$	1.67647	−	3.64683i	0.167647	−	0.364683i
$101$	14.2148	−	12.3172i	1.41442	−	1.22561i	0.476312	−	0.879276i	$-0.341973\pi$
$101$	14.2148	−	12.3172i	1.41442	−	1.22561i	0.938113	−	0.346330i	$-0.112572\pi$
$102$	6.11994	+	9.54900i	0.605964	+	0.945492i
$103$	−1.72699	+	12.0115i	−0.170165	+	1.18353i	0.708367	+	0.705844i	$0.249432\pi$
$103$	−1.72699	+	12.0115i	−0.170165	+	1.18353i	−0.878533	+	0.477682i	$0.841477\pi$
$104$	−2.91694	+	0.408247i	−0.286029	+	0.0400320i
$105$	−1.08363	−	0.696407i	−0.105751	−	0.0679623i
$106$	−7.19441	+	2.10272i	−0.698782	+	0.204234i
$107$	−1.19686	+	0.546588i	−0.115705	+	0.0528407i	−0.472426	−	0.881370i	$-0.656622\pi$
$107$	−1.19686	+	0.546588i	−0.115705	+	0.0528407i	0.356722	+	0.934211i	$0.383894\pi$
$108$	−6.42744	−	1.90471i	−0.618481	−	0.183281i
$109$	−12.1967	−	3.58129i	−1.16824	−	0.343025i	−0.360608	−	0.932717i	$-0.617431\pi$
$109$	−12.1967	−	3.58129i	−1.16824	−	0.343025i	−0.807628	+	0.589692i	$0.799249\pi$
$110$	−18.6199	+	8.47537i	−1.77534	+	0.808094i
$111$	20.7501	−	6.09278i	1.96951	−	0.578301i
$112$	−0.777906	−	0.505437i	−0.0735052	−	0.0477593i
$113$	−0.899099	+	0.129271i	−0.0845801	+	0.0121608i	−0.184475	−	0.982837i	$-0.559058\pi$
$113$	−0.899099	+	0.129271i	−0.0845801	+	0.0121608i	0.0998948	+	0.994998i	$0.468149\pi$
$114$	3.01727	+	1.38250i	0.282593	+	0.129483i
$115$	−6.27699	−	11.0344i	−0.585333	−	1.02896i
$116$	1.01241	−	0.872844i	0.0940001	−	0.0810415i
$117$	1.44564	−	0.207852i	0.133650	−	0.0192159i
$118$	7.16752	+	8.29266i	0.659824	+	0.763401i
$119$	0.249745	+	0.850552i	0.0228940	+	0.0779700i
$120$	−6.57936	+	14.2652i	−0.600611	+	1.30222i
$121$	18.1018	+	5.31518i	1.64562	+	0.483198i
$122$	1.84250	+	12.9295i	0.166812	+	1.17058i
$123$	−3.96816	−	8.68907i	−0.357797	−	0.783467i
$124$	15.6766	+	2.29393i	1.40780	+	0.206001i
$125$	6.66524	+	4.28349i	0.596158	+	0.383127i
$126$	0.386673	+	0.249182i	0.0344476	+	0.0221989i
$127$	−13.5729	−	1.95148i	−1.20440	−	0.173166i	−0.489252	−	0.872142i	$-0.662730\pi$
$127$	−13.5729	−	1.95148i	−1.20440	−	0.173166i	−0.715145	+	0.698976i	$0.753639\pi$
$128$	−4.78964	+	10.2498i	−0.423349	+	0.905967i
$129$	−11.2653	+	9.76140i	−0.991850	+	0.859443i
$130$	−0.00486690	+	3.89826i	−0.000426855	+	0.341900i
$131$	11.6133	−	7.46340i	1.01466	−	0.652080i	0.0760626	−	0.997103i	$-0.475765\pi$
$131$	11.6133	−	7.46340i	1.01466	−	0.652080i	0.938594	+	0.345023i	$0.112129\pi$
$132$	20.8847	−	9.47479i	1.81778	−	0.824674i
$133$	0.196042	+	0.169872i	0.0169990	+	0.0147298i
$134$	−20.5693	−	2.98364i	−1.77692	−	0.257747i
$135$	−3.68578	+	8.07074i	−0.317222	+	0.694619i
$136$	9.85070	−	4.45415i	0.844691	−	0.381940i
$137$			4.91402i			0.419833i	0.977719	+	0.209916i	$0.0673192\pi$
$137$			4.91402i			0.419833i	−0.977719	+	0.209916i	$0.932681\pi$
$138$	7.02104	+	12.3782i	0.597670	+	1.05371i
$139$	−6.93551			−0.588262			−0.294131	−	0.955765i	$-0.595030\pi$
$139$	−6.93551			−0.588262			−0.294131	+	0.955765i	$0.595030\pi$
$140$	−0.806363	+	0.925911i	−0.0681501	+	0.0782538i
$141$	6.72848	+	3.07279i	0.566640	+	0.258776i
$142$	−8.72802	−	1.26602i	−0.732439	−	0.106242i
$143$	3.72677	−	4.30092i	0.311648	−	0.359661i
$144$	2.35597	−	5.09141i	0.196331	−	0.424284i
$145$	−0.956495	−	1.48833i	−0.0794326	−	0.123599i
$146$	−11.1680	−	0.0139430i	−0.924270	−	0.00115393i
$147$	−9.54438	−	11.0148i	−0.787207	−	0.908485i
$148$	−2.88269	−	20.4112i	−0.236956	−	1.67779i
$149$	−2.12037	+	14.7475i	−0.173707	+	1.20816i	0.697259	+	0.716819i	$0.254403\pi$
$149$	−2.12037	+	14.7475i	−0.173707	+	1.20816i	−0.870966	+	0.491343i	$0.836506\pi$
$150$	5.00564	+	3.22577i	0.408709	+	0.263383i
$151$	−1.26372	+	1.96638i	−0.102840	+	0.160022i	−0.888860	−	0.458179i	$-0.848502\pi$
$151$	−1.26372	+	1.96638i	−0.102840	+	0.160022i	0.786020	+	0.618201i	$0.212138\pi$
$152$	1.72030	−	2.65493i	0.139535	−	0.215343i
$153$	−4.87632	+	2.22694i	−0.394227	+	0.180037i
$154$	1.77452	−	0.252876i	0.142995	−	0.0203773i
$155$	5.90775	−	20.1199i	0.474522	−	1.61607i
$156$	0.0109115	−	4.36993i	0.000873623	−	0.349874i
$157$	4.29660	−	1.26160i	0.342906	−	0.100686i	−0.105745	−	0.994393i	$-0.533723\pi$
$157$	4.29660	−	1.26160i	0.342906	−	0.100686i	0.448651	+	0.893707i	$0.351905\pi$
$158$	3.02002	+	3.49410i	0.240260	+	0.277976i
$159$	−1.58263	−	11.0075i	−0.125511	−	0.872948i
$160$	12.5461	+	8.17401i	0.991857	+	0.646212i
$161$	0.255311	+	1.08256i	0.0201213	+	0.0853177i
$162$	6.62168	−	14.4517i	0.520248	−	1.13543i
$163$	2.26816	+	15.7754i	0.177656	+	1.23562i	0.862168	+	0.506622i	$0.169106\pi$
$163$	2.26816	+	15.7754i	0.177656	+	1.23562i	−0.684513	+	0.729001i	$0.739985\pi$
$164$	−8.74270	+	2.54339i	−0.682690	+	0.198606i
$165$	−8.55142	−	29.1235i	−0.665727	−	2.26726i
$166$	8.39649	−	3.82189i	0.651694	−	0.296636i
$167$	5.12618	−	17.4582i	0.396676	−	1.35095i	−0.483100	−	0.875565i	$-0.660489\pi$
$167$	5.12618	−	17.4582i	0.396676	−	1.35095i	0.879776	−	0.475389i	$-0.157693\pi$
$168$	0.905225	−	1.03681i	0.0698396	−	0.0799919i
$169$	4.94992	+	10.8388i	0.380763	+	0.833755i
$170$	−4.01402	−	13.7339i	−0.307862	−	1.05334i
$171$	−0.848103	+	1.31967i	−0.0648560	+	0.100918i
$172$	7.65172	+	11.9719i	0.583438	+	0.912851i
$173$	−11.6415	−	1.67379i	−0.885086	−	0.127256i	−0.315244	−	0.949011i	$-0.602086\pi$
$173$	−11.6415	−	1.67379i	−0.885086	−	0.127256i	−0.569842	+	0.821754i	$0.692995\pi$
$174$	1.07014	+	1.66975i	0.0811273	+	0.126584i
$175$	0.304794	+	0.351752i	0.0230403	+	0.0265899i
$176$	−6.05383	−	21.0049i	−0.456325	−	1.58331i
$177$	−13.6807	+	8.79207i	−1.02831	+	0.660852i
$178$	−2.13203	−	1.85208i	−0.159802	−	0.138819i
$179$	9.49210	−	10.9545i	0.709473	−	0.818775i	−0.280527	−	0.959846i	$-0.590509\pi$
$179$	9.49210	−	10.9545i	0.709473	−	0.818775i	0.990000	+	0.141071i	$0.0450545\pi$
$180$	−6.23633	−	4.02988i	−0.464828	−	0.300370i
$181$	−2.26043	+	4.94966i	−0.168017	+	0.367905i	−0.974846	−	0.222879i	$-0.928454\pi$
$181$	−2.26043	+	4.94966i	−0.168017	+	0.367905i	0.806829	+	0.590785i	$0.201182\pi$
$182$	0.0966342	−	0.327592i	0.00716301	−	0.0242828i
$183$	−19.3768			−1.43237
$184$	12.6435	−	4.91356i	0.932088	−	0.362232i
$185$	−27.2828			−2.00587
$186$	−6.65072	+	22.5461i	−0.487654	+	1.65316i
$187$	−8.67737	+	19.0008i	−0.634552	+	1.38948i
$188$	3.82668	−	5.92186i	0.279089	−	0.431896i
$189$	0.509069	−	0.587497i	0.0370293	−	0.0427341i
$190$	−3.16093	−	2.74588i	−0.229318	−	0.199207i
$191$	3.09897	−	1.99159i	0.224234	−	0.144106i	−0.423701	−	0.905802i	$-0.639269\pi$
$191$	3.09897	−	1.99159i	0.224234	−	0.144106i	0.647935	+	0.761696i	$0.275633\pi$
$192$	−14.0527	−	9.18058i	−1.01417	−	0.662552i
$193$	−8.97482	−	10.3575i	−0.646022	−	0.745549i	0.334406	−	0.942429i	$-0.391464\pi$
$193$	−8.97482	−	10.3575i	−0.646022	−	0.745549i	−0.980427	+	0.196881i	$0.936919\pi$
$194$	11.9583	+	18.6587i	0.858556	+	1.33961i
$195$	−5.72485	−	0.823109i	−0.409965	−	0.0589440i
$196$	−11.7058	+	7.48161i	−0.836126	+	0.534400i
$197$	11.0568	−	17.2047i	0.787763	−	1.22578i	−0.182375	−	0.983229i	$-0.558379\pi$
$197$	11.0568	−	17.2047i	0.787763	−	1.22578i	0.970138	−	0.242554i	$-0.0779851\pi$
$198$	3.04088	+	10.4043i	0.216106	+	0.739403i
$199$	−3.92613	−	8.59702i	−0.278316	−	0.609426i	0.717919	−	0.696127i	$-0.245095\pi$
$199$	−3.92613	−	8.59702i	−0.278316	−	0.609426i	−0.996234	+	0.0867006i	$0.972368\pi$
$200$	3.73319	−	4.27587i	0.263977	−	0.302350i
$201$	8.68790	−	29.5883i	0.612797	−	2.08699i
$202$	24.2098	−	11.0197i	1.70339	−	0.775345i
$203$	0.0436708	+	0.148729i	0.00306509	+	0.0104387i
$204$	4.48048	+	15.4013i	0.313696	+	1.07830i
$205$	1.71502	+	11.9282i	0.119782	+	0.833102i
$206$	−7.14862	+	15.6017i	−0.498068	+	1.08702i
$207$	−6.26029	+	2.45993i	−0.435120	+	0.170977i
$208$	−4.11997	−	0.613378i	−0.285669	−	0.0425301i
$209$	0.869900	+	6.05029i	0.0601723	+	0.418507i
$210$	−1.19122	−	1.37821i	−0.0822019	−	0.0951057i
$211$	16.4899	−	4.84187i	1.13521	−	0.333328i	0.340458	−	0.940260i	$-0.389418\pi$
$211$	16.4899	−	4.84187i	1.13521	−	0.333328i	0.794754	+	0.606932i	$0.207600\pi$
$212$	−10.6001	−	0.0264679i	−0.728014	−	0.00181783i
$213$	3.68646	−	12.5549i	0.252592	−	0.860251i
$214$	−1.84216	+	0.262516i	−0.125927	+	0.0179452i
$215$	17.1057	−	7.81189i	1.16660	−	0.532767i
$216$	−7.95625	−	5.15538i	−0.541354	−	0.350779i
$217$	−0.993286	+	1.54558i	−0.0674286	+	0.104921i
$218$	−15.1111	−	9.73797i	−1.02345	−	0.659539i
$219$	2.35810	−	16.4009i	0.159345	−	1.10827i
$220$	−28.6478	+	4.04595i	−1.93144	+	0.272778i
$221$	2.60652	+	3.00808i	0.175333	+	0.202346i
$222$	30.5839	+	0.0381834i	2.05266	+	0.00256270i
$223$	−4.27051	−	6.64504i	−0.285974	−	0.444985i	0.668311	−	0.743882i	$-0.267018\pi$
$223$	−4.27051	−	6.64504i	−0.285974	−	0.444985i	−0.954285	+	0.298897i	$0.903381\pi$
$224$	−0.852938	−	0.996848i	−0.0569893	−	0.0666047i
$225$	−1.84321	+	2.12718i	−0.122881	+	0.141812i
$226$	−1.27129	−	0.184404i	−0.0845648	−	0.0122664i
$227$	−3.21856	−	1.46987i	−0.213623	−	0.0975584i	0.305730	−	0.952118i	$-0.401100\pi$
$227$	−3.21856	−	1.46987i	−0.213623	−	0.0975584i	−0.519353	+	0.854560i	$0.673827\pi$
$228$	3.53954	+	3.08254i	0.234412	+	0.204146i
$229$	24.4621			1.61650			0.808251	−	0.588838i	$-0.200414\pi$
$229$	24.4621			1.61650			0.808251	+	0.588838i	$0.200414\pi$
$230$	−4.09919	−	17.4789i	−0.270292	−	1.15252i
$231$			2.65939i			0.174975i
$232$	1.72251	−	0.778861i	0.113088	−	0.0511347i
$233$	5.84924	−	12.8081i	0.383197	−	0.839083i	−0.615505	−	0.788133i	$-0.711048\pi$
$233$	5.84924	−	12.8081i	0.383197	−	0.839083i	0.998701	−	0.0509502i	$-0.0162250\pi$
$234$	2.04408	+	0.296499i	0.133626	+	0.0193828i
$235$	−7.05245	−	6.11098i	−0.460051	−	0.398636i
$236$	6.40415	+	14.1163i	0.416874	+	0.918893i
$237$	−5.76435	+	3.70452i	−0.374435	+	0.240635i
$238$	−0.00156515	+	1.25364i	−0.000101453	+	0.0812616i
$239$	−20.4667	+	17.7345i	−1.32388	+	1.14715i	−0.345945	+	0.938255i	$0.612442\pi$
$239$	−20.4667	+	17.7345i	−1.32388	+	1.14715i	−0.977938	+	0.208896i	$0.933013\pi$
$240$	−14.6323	+	16.7171i	−0.944509	+	1.07909i
$241$	−3.17391	−	0.456339i	−0.204449	−	0.0293954i	0.0393292	−	0.999226i	$-0.487478\pi$
$241$	−3.17391	−	0.456339i	−0.204449	−	0.0293954i	−0.243779	+	0.969831i	$0.578387\pi$
$242$	22.4271	+	14.4526i	1.44167	+	0.929051i
$243$	11.3817	+	7.31457i	0.730135	+	0.469230i
$244$	−2.67416	+	18.2751i	−0.171195	+	1.16994i
$245$	7.63821	+	16.7254i	0.487988	+	1.06854i
$246$	−1.90583	−	13.3739i	−0.121511	−	0.852687i
$247$	1.11755	+	0.328142i	0.0711080	+	0.0208792i
$248$	20.3464	+	9.38415i	1.29200	+	0.595894i
$249$	3.85618	+	13.1330i	0.244376	+	0.832267i
$250$	7.32701	+	8.47718i	0.463401	+	0.536144i
$251$	13.0955	−	1.88286i	0.826584	−	0.118845i	0.283976	−	0.958831i	$-0.408346\pi$
$251$	13.0955	−	1.88286i	0.826584	−	0.118845i	0.542607	+	0.839986i	$0.317437\pi$
$252$	0.424791	+	0.492716i	0.0267593	+	0.0310382i
$253$	−12.1584	+	23.2184i	−0.764391	+	1.45973i
$254$	−17.6298	−	8.07788i	−1.10619	−	0.506851i
$255$	21.0129	−	3.02120i	1.31588	−	0.189195i
$256$	−10.5980	+	11.9867i	−0.662376	+	0.749171i
$257$	−19.3658	+	5.68632i	−1.20801	+	0.354703i	−0.822909	−	0.568173i	$-0.807650\pi$
$257$	−19.3658	+	5.68632i	−1.20801	+	0.354703i	−0.385097	+	0.922876i	$0.625832\pi$
$258$	−19.1863	+	8.73315i	−1.19449	+	0.543702i
$259$	2.29357	+	0.673452i	0.142515	+	0.0418463i
$260$	−1.56639	+	5.28577i	−0.0971433	+	0.327810i
$261$	−0.852682	+	0.389407i	−0.0527797	+	0.0241037i
$262$	18.7389	−	5.47683i	1.15769	−	0.338360i
$263$	5.34016	+	3.43191i	0.329288	+	0.211621i	0.694830	−	0.719174i	$-0.255480\pi$
$263$	5.34016	+	3.43191i	0.329288	+	0.211621i	−0.365541	+	0.930795i	$0.619116\pi$
$264$	32.1198	−	4.49540i	1.97683	−	0.276673i
$265$	−1.99660	+	13.8867i	−0.122650	+	0.853051i
$266$	0.197948	+	0.308860i	0.0121370	+	0.0189374i
$267$	3.16665	−	2.74391i	0.193796	−	0.167925i
$268$	−26.7070	−	12.2774i	−1.63139	−	0.749960i
$269$	15.4290	+	24.0080i	0.940723	+	1.46379i	0.885132	+	0.465340i	$0.154068\pi$
$269$	15.4290	+	24.0080i	0.940723	+	1.46379i	0.0555912	+	0.998454i	$0.482296\pi$
$270$	−8.22880	+	9.47262i	−0.500789	+	0.576485i
$271$	2.54079	+	2.20161i	0.154342	+	0.133738i	0.728609	−	0.684930i	$-0.240167\pi$
$271$	2.54079	+	2.20161i	0.154342	+	0.133738i	−0.574267	+	0.818668i	$0.694713\pi$
$272$	15.1440	−	2.10024i	0.918239	−	0.127346i
$273$	0.460949	+	0.210508i	0.0278979	+	0.0127406i
$274$	−1.96622	+	6.66552i	−0.118783	+	0.402679i
$275$			10.9674i			0.661361i
$276$	4.57071	+	19.5995i	0.275124	+	1.17975i
$277$		−	26.1434i		−	1.57080i	−0.618986	−	0.785402i	$-0.712456\pi$
$277$		−	26.1434i		−	1.57080i	0.618986	−	0.785402i	$-0.287544\pi$
$278$	−9.40753	−	2.77506i	−0.564226	−	0.166437i
$279$	−10.1064	−	4.61546i	−0.605057	−	0.276320i
$280$	−1.46425	+	0.933288i	−0.0875059	+	0.0557746i
$281$	−14.8385	−	12.8576i	−0.885189	−	0.767021i	0.0882184	−	0.996101i	$-0.471883\pi$
$281$	−14.8385	−	12.8576i	−0.885189	−	0.767021i	−0.973407	+	0.229080i	$0.926428\pi$
$282$	7.89721	+	6.86025i	0.470272	+	0.408522i
$283$	5.82943	+	9.07077i	0.346524	+	0.539201i	0.970145	−	0.242525i	$-0.0779757\pi$
$283$	5.82943	+	9.07077i	0.346524	+	0.539201i	−0.623621	+	0.781726i	$0.714339\pi$
$284$	−11.3324	−	5.20956i	−0.672453	−	0.309131i
$285$	4.69484	−	4.06810i	0.278098	−	0.240973i
$286$	6.77600	−	4.34273i	0.400673	−	0.256791i
$287$	0.150262	−	1.04509i	0.00886968	−	0.0616900i
$288$	5.23290	−	5.96346i	0.308351	−	0.351400i
$289$	2.01104	+	1.29242i	0.118297	+	0.0760247i
$290$	−0.701899	−	2.40154i	−0.0412170	−	0.141023i
$291$	−29.9093	+	13.6591i	−1.75332	+	0.800713i
$292$	−15.1430	−	4.48750i	−0.886179	−	0.262611i
$293$	−10.4435	−	3.06650i	−0.610118	−	0.179147i	−0.0379450	−	0.999280i	$-0.512081\pi$
$293$	−10.4435	−	3.06650i	−0.610118	−	0.179147i	−0.572173	+	0.820133i	$0.693899\pi$
$294$	−8.53899	−	18.7597i	−0.498004	−	1.09409i
$295$	19.6850	−	5.78003i	1.14610	−	0.336526i
$296$	4.25685	−	28.8398i	0.247424	−	1.67628i
$297$	18.1314	−	2.60690i	1.05209	−	0.151268i
$298$	−8.77696	+	19.1555i	−0.508435	+	1.10965i
$299$	3.06200	+	3.94529i	0.177080	+	0.228162i
$300$	5.49909	+	6.37840i	0.317490	+	0.368257i
$301$	−1.63084	+	0.234479i	−0.0940000	+	0.0135152i
$302$	−2.50094	+	2.16161i	−0.143913	+	0.124387i
$303$	11.1186	+	37.8665i	0.638747	+	2.17537i
$304$	3.39577	−	2.91289i	0.194761	−	0.167066i
$305$	23.4549	+	6.88699i	1.34303	+	0.394348i
$306$	−7.50543	+	1.06956i	−0.429057	+	0.0611425i
$307$	−2.54247	−	5.56723i	−0.145106	−	0.317739i	0.823098	−	0.567900i	$-0.192244\pi$
$307$	−2.54247	−	5.56723i	−0.145106	−	0.317739i	−0.968204	+	0.250161i	$0.919517\pi$
$308$	2.50819	+	0.367018i	0.142917	+	0.0209128i
$309$	−21.4199	−	13.7657i	−1.21853	−	0.783105i
$310$	16.0639	−	24.9275i	0.912369	−	1.41578i
$311$	16.3351	+	2.34863i	0.926279	+	0.133179i	0.588914	−	0.808195i	$-0.299555\pi$
$311$	16.3351	+	2.34863i	0.926279	+	0.133179i	0.337364	+	0.941374i	$0.390465\pi$
$312$	1.76331	−	5.92313i	0.0998279	−	0.335331i
$313$	17.6131	−	15.2618i	0.995552	−	0.862650i	0.00502732	−	0.999987i	$-0.498400\pi$
$313$	17.6131	−	15.2618i	0.995552	−	0.862650i	0.990524	+	0.137337i	$0.0438543\pi$
$314$	6.33284	+	0.00790642i	0.357383	+	0.000446185i
$315$	0.724335	−	0.465502i	0.0408117	−	0.0262281i
$316$	2.69838	+	5.94788i	0.151796	+	0.334594i
$317$	−1.99082	−	1.72506i	−0.111816	−	0.0968888i	0.597159	−	0.802123i	$-0.296296\pi$
$317$	−1.99082	−	1.72506i	−0.111816	−	0.0968888i	−0.708974	+	0.705234i	$0.750842\pi$
$318$	2.25761	−	15.5641i	0.126601	−	0.872790i
$319$	−1.51734	+	3.32251i	−0.0849548	+	0.186025i
$320$	13.7473	+	16.1075i	0.768498	+	0.900435i
$321$		−	2.76076i		−	0.154091i
$322$	−0.0868473	+	1.57057i	−0.00483981	+	0.0875246i
$323$	−4.27511			−0.237874
$324$	14.7643	−	16.9532i	0.820239	−	0.941844i
$325$	1.90098	+	0.868147i	0.105447	+	0.0481561i
$326$	−3.23551	+	22.3057i	−0.179198	+	1.23540i
$327$	17.4663	−	20.1572i	0.965890	−	1.11470i
$328$	−12.8765	−	0.0482284i	−0.710987	−	0.00266297i
$329$	0.442029	+	0.687811i	0.0243699	+	0.0379202i
$330$	0.0535917	−	42.9255i	0.00295012	−	2.36297i
$331$	0.211824	+	0.244458i	0.0116429	+	0.0134366i	0.761541	−	0.648117i	$-0.224443\pi$
$331$	0.211824	+	0.244458i	0.0116429	+	0.0134366i	−0.749898	+	0.661553i	$0.769898\pi$
$332$	12.9185	−	1.82449i	0.708994	−	0.100132i
$333$	−2.05725	+	14.3085i	−0.112737	+	0.784100i
$334$	13.9387	−	21.6297i	0.762694	−	1.18352i
$335$	−21.0328	+	32.7277i	−1.14915	+	1.78810i
$336$	1.64273	−	1.04416i	0.0896182	−	0.0569637i
$337$	4.53017	−	2.06886i	0.246774	−	0.112698i	−0.288188	−	0.957574i	$-0.593053\pi$
$337$	4.53017	−	2.06886i	0.246774	−	0.112698i	0.534963	+	0.844876i	$0.320326\pi$
$338$	2.37735	+	16.6827i	0.129311	+	0.907417i
$339$	0.536955	−	1.82870i	0.0291634	−	0.0993215i
$340$	0.0505265	−	20.2352i	0.00274019	−	1.09741i
$341$	−41.5388	+	12.1969i	−2.24945	+	0.660499i
$342$	−1.67842	+	1.45070i	−0.0907588	+	0.0784448i
$343$	−0.460308	−	3.20151i	−0.0248543	−	0.172865i
$344$	5.58877	+	19.3007i	0.301326	+	1.04062i
$345$	26.5315	−	2.36242i	1.42841	−	0.127188i
$346$	−15.1211	−	6.92842i	−0.812917	−	0.372474i
$347$	2.97848	+	20.7158i	0.159893	+	1.11208i	0.898827	+	0.438303i	$0.144420\pi$
$347$	2.97848	+	20.7158i	0.159893	+	1.11208i	−0.738934	+	0.673778i	$0.764671\pi$
$348$	0.783465	+	2.69309i	0.0419981	+	0.144365i
$349$	−5.81078	−	19.7897i	−0.311044	−	1.05932i	−0.955577	−	0.294742i	$-0.904766\pi$
$349$	−5.81078	−	19.7897i	−0.311044	−	1.05932i	0.644533	−	0.764577i	$-0.277052\pi$
$350$	0.272688	+	0.599082i	0.0145758	+	0.0320223i
$351$	0.983372	−	3.34906i	0.0524885	−	0.178759i
$352$	0.192980	−	30.9140i	0.0102859	−	1.64772i
$353$	−3.45440	−	7.56407i	−0.183859	−	0.402595i	0.795150	−	0.606413i	$-0.207392\pi$
$353$	−3.45440	−	7.56407i	−0.183859	−	0.402595i	−0.979009	+	0.203818i	$0.934665\pi$
$354$	−22.0749	+	6.45184i	−1.17327	+	0.342911i
$355$	−8.92468	+	13.8871i	−0.473673	+	0.737050i
$356$	−2.15089	−	3.36529i	−0.113997	−	0.178360i
$357$	−1.84105	−	0.264704i	−0.0974389	−	0.0140096i
$358$	17.2585	−	11.0609i	0.912141	−	0.584589i
$359$	−7.34108	−	8.47206i	−0.387448	−	0.447138i	0.528200	−	0.849120i	$-0.322867\pi$
$359$	−7.34108	−	8.47206i	−0.387448	−	0.447138i	−0.915648	+	0.401982i	$0.868322\pi$
$360$	−6.84669	−	7.96155i	−0.360852	−	0.419611i
$361$	14.9314	−	9.59583i	0.785863	−	0.505044i
$362$	−5.04659	+	5.80941i	−0.265243	+	0.305336i
$363$	−25.9227	+	29.9164i	−1.36059	+	1.57020i
$364$	0.262155	−	0.405690i	0.0137407	−	0.0212640i
$365$	−8.68369	+	19.0146i	−0.454525	+	0.995272i
$366$	−26.2832	−	7.75311i	−1.37385	−	0.405261i
$367$	−26.8593			−1.40204			−0.701022	−	0.713140i	$-0.747273\pi$
$367$	−26.8593			−1.40204			−0.701022	+	0.713140i	$0.747273\pi$
$368$	19.1160	−	1.60595i	0.996490	−	0.0837158i
$369$	6.38507			0.332394
$370$	−37.0072	−	10.9165i	−1.92391	−	0.567522i
$371$	0.510627	−	1.11812i	0.0265104	−	0.0580497i
$372$	−18.0425	+	27.9211i	−0.935458	+	1.44764i
$373$	4.17335	−	4.81631i	0.216088	−	0.249379i	−0.637348	−	0.770576i	$-0.719969\pi$
$373$	4.17335	−	4.81631i	0.216088	−	0.249379i	0.853436	+	0.521197i	$0.174514\pi$
$374$	−19.3729	+	22.3012i	−1.00175	+	1.15317i
$375$	−13.9851	+	8.98770i	−0.722189	+	0.464123i
$376$	7.56010	−	6.50145i	0.389882	−	0.335286i
$377$	0.455781	+	0.525999i	0.0234739	+	0.0270903i
$378$	0.925588	−	0.593208i	0.0476071	−	0.0305113i
$379$	−1.69018	−	0.243012i	−0.0868189	−	0.0124827i	0.0987685	−	0.995110i	$-0.468510\pi$
$379$	−1.69018	−	0.243012i	−0.0868189	−	0.0124827i	−0.185587	+	0.982628i	$0.559419\pi$
$380$	−3.18888	−	4.98935i	−0.163586	−	0.255948i
$381$	15.5552	−	24.2043i	0.796914	−	1.24002i
$382$	5.00042	−	1.46148i	0.255844	−	0.0747757i
$383$	−7.38537	−	16.1717i	−0.377375	−	0.826335i	−0.999072	−	0.0430776i	$-0.986284\pi$
$383$	−7.38537	−	16.1717i	−0.377375	−	0.826335i	0.621697	−	0.783258i	$-0.286444\pi$
$384$	−15.3881	−	18.0756i	−0.785272	−	0.922418i
$385$	0.945212	−	3.21910i	0.0481725	−	0.164060i
$386$	−8.02943	−	17.6402i	−0.408687	−	0.897865i
$387$	−2.80710	−	9.56012i	−0.142693	−	0.485968i
$388$	8.75482	+	30.0940i	0.444459	+	1.52779i
$389$	−1.22741	−	8.53683i	−0.0622322	−	0.432834i	−0.996989	−	0.0775456i	$-0.975292\pi$
$389$	−1.22741	−	8.53683i	−0.0622322	−	0.432834i	0.934757	−	0.355289i	$-0.115617\pi$
$390$	−7.43601	−	3.40714i	−0.376537	−	0.172527i
$391$	−14.8635	−	10.7281i	−0.751682	−	0.542545i
$392$	−18.8716	+	5.46451i	−0.953161	+	0.276000i
$393$	4.12220	+	28.6705i	0.207937	+	1.44624i
$394$	21.8817	−	18.9129i	1.10239	−	0.952816i
$395$	8.29423	−	2.43541i	0.417328	−	0.122539i
$396$	−0.0382771	+	15.3295i	−0.00192350	+	0.770334i
$397$	−4.18304	+	14.2461i	−0.209941	+	0.714993i	0.785436	+	0.618943i	$0.212439\pi$
$397$	−4.18304	+	14.2461i	−0.209941	+	0.714993i	−0.995377	+	0.0960494i	$0.969379\pi$
$398$	−1.88564	−	13.2322i	−0.0945187	−	0.663269i
$399$	−0.495095	+	0.226102i	−0.0247858	+	0.0113193i
$400$	6.77469	−	4.30617i	0.338734	−	0.215309i
$401$	−3.31858	+	5.16381i	−0.165722	+	0.257868i	−0.914175	−	0.405319i	$-0.867160\pi$
$401$	−3.31858	+	5.16381i	−0.165722	+	0.257868i	0.748453	+	0.663187i	$0.230797\pi$
$402$	23.6235	−	36.6581i	1.17823	−	1.82834i
$403$	−1.17400	+	8.16536i	−0.0584811	+	0.406745i
$404$	37.2481	−	5.26057i	1.85316	−	0.261723i
$405$	−19.4848	−	22.4867i	−0.968208	−	1.11737i
$406$	−0.000273684		0.219214i	−1.35827e−5		0.0108794i
$407$	30.4527	+	47.3853i	1.50948	+	2.34880i
$408$	−0.0849600	+	22.6835i	−0.00420615	+	1.12300i
$409$	0.709016	−	0.818249i	0.0350586	−	0.0404598i	−0.737949	−	0.674856i	$-0.764206\pi$
$409$	0.709016	−	0.818249i	0.0350586	−	0.0404598i	0.773008	+	0.634396i	$0.218751\pi$
$410$	−2.44646	+	16.8660i	−0.120822	+	0.832952i
$411$	−9.37893	−	4.28321i	−0.462628	−	0.211275i
$412$	−15.9392	+	18.3023i	−0.785269	+	0.901689i
$413$	−1.79752			−0.0884501
$414$	−9.47592	+	0.831832i	−0.465716	+	0.0408823i
$415$		−	17.2676i		−	0.847633i
$416$	−5.34302	−	2.48050i	−0.261963	−	0.121617i
$417$	6.04521	−	13.2372i	0.296035	−	0.648226i
$418$	−1.24091	+	8.55486i	−0.0606947	+	0.418432i
$419$	−4.92875	−	4.27079i	−0.240785	−	0.208642i	0.526105	−	0.850419i	$-0.323652\pi$
$419$	−4.92875	−	4.27079i	−0.240785	−	0.208642i	−0.766891	+	0.641778i	$0.778197\pi$
$420$	−1.06435	−	2.34608i	−0.0519349	−	0.114477i
$421$	25.0910	−	16.1250i	1.22286	−	0.785884i	0.240096	−	0.970749i	$-0.422821\pi$
$421$	25.0910	−	16.1250i	1.22286	−	0.785884i	0.982764	+	0.184865i	$0.0591848\pi$
$422$	24.3047	+	0.0303440i	1.18314	+	0.00147712i
$423$	−3.73669	+	3.23786i	−0.181684	+	0.157430i
$424$	−14.3676	−	4.27723i	−0.697754	−	0.207721i
$425$	−7.59260	−	1.09165i	−0.368295	−	0.0529528i
$426$	10.0240	−	15.5549i	0.485663	−	0.753635i
$427$	−1.80177	−	1.15793i	−0.0871938	−	0.0560360i
$428$	−2.60380	−	0.381008i	−0.125859	−	0.0184167i
$429$	4.96040	+	10.8618i	0.239490	+	0.524411i
$430$	26.3283	−	3.75190i	1.26967	−	0.180933i
$431$	−10.5655	−	3.10231i	−0.508923	−	0.149433i	0.0171830	−	0.999852i	$-0.494530\pi$
$431$	−10.5655	−	3.10231i	−0.508923	−	0.149433i	−0.526106	+	0.850419i	$0.676348\pi$
$432$	−8.72930	−	10.1764i	−0.419989	−	0.489612i
$433$	−4.77674	−	16.2681i	−0.229555	−	0.781793i	−0.991035	−	0.133604i	$-0.957345\pi$
$433$	−4.77674	−	16.2681i	−0.229555	−	0.781793i	0.761480	−	0.648189i	$-0.224473\pi$
$434$	−1.96575	+	1.69904i	−0.0943588	+	0.0815564i
$435$	3.67436	−	0.528293i	0.176172	−	0.0253297i
$436$	−16.6007	−	19.2552i	−0.795029	−	0.922155i
$437$	−5.35625	−	0.289475i	−0.256224	−	0.0138475i
$438$	9.76099	−	21.3032i	0.466398	−	1.01790i
$439$	25.6145	−	3.68281i	1.22251	−	0.175771i	0.499321	−	0.866417i	$-0.333583\pi$
$439$	25.6145	−	3.68281i	1.22251	−	0.175771i	0.723193	+	0.690646i	$0.242674\pi$
$440$	−40.4777	−	5.97463i	−1.92970	−	0.284829i
$441$	9.34758	−	2.74470i	0.445123	−	0.130700i
$442$	2.33195	+	5.12318i	0.110920	+	0.243685i
$443$	5.09227	+	1.49523i	0.241941	+	0.0710404i	0.400455	−	0.916316i	$-0.368852\pi$
$443$	5.09227	+	1.49523i	0.241941	+	0.0710404i	−0.158514	+	0.987357i	$0.550670\pi$
$444$	41.4696	+	12.2891i	1.96806	+	0.583217i
$445$	−4.80837	+	2.19591i	−0.227939	+	0.104096i
$446$	−3.13380	−	10.7223i	−0.148390	−	0.507714i
$447$	−26.2990	−	16.9013i	−1.24390	−	0.799406i
$448$	−0.758087	−	1.69344i	−0.0358162	−	0.0800073i
$449$	2.91460	−	20.2715i	0.137549	−	0.956671i	−0.797794	−	0.602930i	$-0.794000\pi$
$449$	2.91460	−	20.2715i	0.137549	−	0.956671i	0.935343	−	0.353742i	$-0.115091\pi$
$450$	−3.35132	+	2.14785i	−0.157983	+	0.101251i
$451$	18.8028	−	16.2928i	0.885392	−	0.767196i
$452$	−1.65063	−	0.758804i	−0.0776390	−	0.0356911i
$453$	−2.65155	−	4.12590i	−0.124581	−	0.193852i
$454$	−3.77762	−	3.28159i	−0.177292	−	0.154013i
$455$	−0.483144	−	0.418646i	−0.0226501	−	0.0196264i
$456$	3.56774	+	5.59750i	0.167075	+	0.262127i
$457$	−1.68945	−	0.771547i	−0.0790292	−	0.0360914i	0.375508	−	0.926819i	$-0.377468\pi$
$457$	−1.68945	−	0.771547i	−0.0790292	−	0.0360914i	−0.454537	+	0.890728i	$0.650195\pi$
$458$	33.1811	+	9.78788i	1.55045	+	0.457357i
$459$			12.8116i			0.597994i
$460$	1.43346	−	25.3491i	0.0668356	−	1.18191i
$461$			4.59846i			0.214172i	0.994250	+	0.107086i	$0.0341520\pi$
$461$			4.59846i			0.214172i	−0.994250	+	0.107086i	$0.965848\pi$
$462$	−1.06408	+	3.60727i	−0.0495057	+	0.167825i
$463$	12.2671	+	5.60219i	0.570100	+	0.260356i	0.679541	−	0.733637i	$-0.262179\pi$
$463$	12.2671	+	5.60219i	0.570100	+	0.260356i	−0.109441	+	0.993993i	$0.534906\pi$
$464$	2.64811	−	0.367252i	0.122935	−	0.0170492i
$465$	33.2517	+	28.8128i	1.54201	+	1.33616i
$466$	13.0589	−	15.0328i	0.604941	−	0.696381i
$467$	3.87387	+	6.02785i	0.179261	+	0.278936i	0.919243	−	0.393691i	$-0.128802\pi$
$467$	3.87387	+	6.02785i	0.179261	+	0.278936i	−0.739981	+	0.672627i	$0.765166\pi$
$468$	2.65401	+	1.22006i	0.122682	+	0.0563975i
$469$	2.57600	−	2.23212i	0.118949	−	0.103070i
$470$	−7.12100	−	11.1110i	−0.328467	−	0.512511i
$471$	−1.33716	+	9.30017i	−0.0616132	+	0.428529i
$472$	3.03851	+	21.7102i	0.139859	+	0.999294i
$473$	−32.6609	−	20.9899i	−1.50175	−	0.965116i
$474$	−9.30121	+	2.71847i	−0.427219	+	0.124864i
$475$	−2.04180	+	0.932457i	−0.0936840	+	0.0427841i
$476$	−0.503735	+	1.69985i	−0.0230887	+	0.0779126i
$477$	7.13231	+	2.09424i	0.326566	+	0.0958885i
$478$	−34.8577	+	15.8664i	−1.59435	+	0.725712i
$479$	3.57227	−	1.04891i	0.163221	−	0.0479260i	−0.199101	−	0.979979i	$-0.563802\pi$
$479$	3.57227	−	1.04891i	0.163221	−	0.0479260i	0.362322	+	0.932053i	$0.381984\pi$
$480$	−26.5366	+	16.8209i	−1.21122	+	0.767764i
$481$	10.6238	−	1.52747i	0.484403	−	0.0696466i
$482$	−4.12259	−	1.88895i	−0.187779	−	0.0860392i
$483$	−2.28872	−	0.456306i	−0.104140	−	0.0207626i
$484$	24.6380	+	28.5776i	1.11991	+	1.29898i
$485$	41.0591	−	5.90340i	1.86440	−	0.268060i
$486$	12.5117	+	14.4758i	0.567543	+	0.656634i
$487$	10.0603	+	34.2621i	0.455874	+	1.55256i	0.791863	+	0.610699i	$0.209111\pi$
$487$	10.0603	+	34.2621i	0.455874	+	1.55256i	−0.335989	+	0.941866i	$0.609070\pi$
$488$	−10.9396	+	23.7189i	−0.495213	+	1.07371i
$489$	−32.0860	−	9.42129i	−1.45098	−	0.426046i
$490$	3.66849	+	25.7430i	0.165725	+	1.16295i
$491$	8.30345	+	18.1820i	0.374729	+	0.820543i	0.999219	+	0.0395097i	$0.0125796\pi$
$491$	8.30345	+	18.1820i	0.374729	+	0.820543i	−0.624490	+	0.781033i	$0.714693\pi$
$492$	2.76607	−	18.9033i	0.124704	−	0.852225i
$493$	−2.14910	−	1.38114i	−0.0967905	−	0.0622035i
$494$	1.38458	+	0.892260i	0.0622952	+	0.0401447i
$495$	20.0824	+	2.88742i	0.902639	+	0.129780i
$496$	23.8436	+	20.8700i	1.07061	+	0.937091i
$497$	1.09306	−	0.947138i	0.0490302	−	0.0424849i
$498$	−0.0241667	+	19.3569i	−0.00108293	+	0.867403i
$499$	−19.4119	+	12.4753i	−0.868998	+	0.558471i	−0.897446	−	0.441124i	$-0.854580\pi$
$499$	−19.4119	+	12.4753i	−0.868998	+	0.558471i	0.0284483	+	0.999595i	$0.490943\pi$
$500$	6.54665	+	14.4304i	0.292775	+	0.645347i
$501$	28.8526	+	25.0010i	1.28904	+	1.11696i
$502$	18.5166	+	2.68588i	0.826435	+	0.119877i
$503$	13.6583	−	29.9074i	0.608991	−	1.33351i	−0.314270	−	0.949334i	$-0.601760\pi$
$503$	13.6583	−	29.9074i	0.608991	−	1.33351i	0.923262	−	0.384172i	$-0.125513\pi$
$504$	0.379052	+	0.838303i	0.0168843	+	0.0373410i
$505$		−	49.7879i		−	2.21553i
$506$	−25.7822	+	26.6292i	−1.14616	+	1.18381i
$507$	−25.0015			−1.11036
$508$	−20.6814	−	18.0112i	−0.917590	−	0.799117i
$509$	−12.5151	−	5.71544i	−0.554720	−	0.253332i	0.118273	−	0.992981i	$-0.462264\pi$
$509$	−12.5151	−	5.71544i	−0.554720	−	0.253332i	−0.672993	+	0.739649i	$0.734992\pi$
$510$	29.7114	+	4.30972i	1.31564	+	0.190838i
$511$	1.19937	−	1.38414i	0.0530568	−	0.0612308i
$512$	−19.1716	+	12.0186i	−0.847275	+	0.531154i
$513$	2.02687	+	3.15387i	0.0894884	+	0.139247i
$514$	−28.5436	−	0.0356361i	−1.25900	−	0.00157184i
$515$	21.0354	+	24.2761i	0.926929	+	1.06973i
$516$	−29.5192	+	4.16901i	−1.29951	+	0.183531i
$517$	−2.74182	+	19.0698i	−0.120585	+	0.838689i
$518$	2.84160	+	1.83120i	0.124853	+	0.0804583i
$519$	13.3417	−	20.7601i	0.585636	−	0.911267i
$520$	−4.23966	+	6.54302i	−0.185921	+	0.286931i
$521$	−24.9989	+	11.4166i	−1.09522	+	0.500171i	−0.879314	−	0.476243i	$-0.841998\pi$
$521$	−24.9989	+	11.4166i	−1.09522	+	0.500171i	−0.215908	+	0.976414i	$0.569271\pi$
$522$	−1.31241	+	0.187025i	−0.0574428	+	0.00818584i
$523$	3.07855	−	10.4846i	0.134616	−	0.458459i	−0.864401	−	0.502804i	$-0.832302\pi$
$523$	3.07855	−	10.4846i	0.134616	−	0.458459i	0.999016	+	0.0443449i	$0.0141201\pi$
$524$	27.6094	+	0.0689396i	1.20612	+	0.00301164i
$525$	−0.937024	+	0.275135i	−0.0408951	+	0.0120079i
$526$	5.87036	+	6.79187i	0.255960	+	0.296140i
$527$	−4.30914	−	29.9707i	−0.187709	−	1.30555i
$528$	45.3669	+	6.75419i	1.97434	+	0.293938i
$529$	−17.8960	−	14.4476i	−0.778087	−	0.628157i
$530$	−8.26463	+	18.0374i	−0.358993	+	0.783494i
$531$	−1.54700	−	10.7596i	−0.0671342	−	0.466928i
$532$	0.144920	+	0.498151i	0.00628309	+	0.0215976i
$533$	−1.33564	−	4.54876i	−0.0578529	−	0.197029i
$534$	5.39324	−	2.45488i	0.233388	−	0.106233i
$535$	−0.981243	+	3.34181i	−0.0424228	+	0.144479i
$536$	−31.3137	−	27.3395i	−1.35255	−	1.18089i
$537$	12.6342	+	27.6649i	0.545204	+	1.19383i
$538$	11.3222	+	38.7387i	0.488134	+	1.67014i
$539$	20.5232	−	31.9348i	0.883998	−	1.37553i
$540$	−14.9520	+	9.55640i	−0.643432	+	0.411242i
$541$	−22.9179	−	3.29509i	−0.985316	−	0.141667i	−0.369223	−	0.929341i	$-0.620376\pi$
$541$	−22.9179	−	3.29509i	−0.985316	−	0.141667i	−0.616093	+	0.787674i	$0.711285\pi$
$542$	2.56549	+	4.00296i	0.110197	+	0.171942i
$543$	−7.47668	−	8.62855i	−0.320855	−	0.370287i
$544$	21.3821	+	3.21064i	0.916751	+	0.137655i
$545$	−28.3068	+	18.1917i	−1.21253	+	0.779245i
$546$	0.541016	+	0.469977i	0.0231533	+	0.0201131i
$547$	−5.88980	+	6.79719i	−0.251830	+	0.290627i	−0.867563	−	0.497328i	$-0.834315\pi$
$547$	−5.88980	+	6.79719i	−0.251830	+	0.290627i	0.615733	+	0.787955i	$0.288860\pi$
$548$	−5.33407	+	8.25458i	−0.227860	+	0.352618i
$549$	5.38049	−	11.7816i	0.229634	−	0.502828i
$550$	−4.38833	+	14.8766i	−0.187119	+	0.634338i
$551$	−0.747554			−0.0318469
$552$	−1.64238	+	28.4142i	−0.0699045	+	1.20939i
$553$	−0.757382			−0.0322071
$554$	10.4606	−	35.4617i	0.444428	−	1.50662i
$555$	23.7806	−	52.0722i	1.00943	−	2.21034i
$556$	−11.6503	−	7.52835i	−0.494082	−	0.319273i
$557$	−21.3758	+	24.6690i	−0.905722	+	1.04526i	0.0930477	+	0.995662i	$0.470339\pi$
$557$	−21.3758	+	24.6690i	−0.905722	+	1.04526i	−0.998769	+	0.0495969i	$0.984206\pi$
$558$	−11.8619	−	10.3044i	−0.502155	−	0.436219i
$559$	−6.22349	+	3.99959i	−0.263226	+	0.169165i
$560$	−2.35959	+	0.680057i	−0.0997108	+	0.0287376i
$561$	−28.7016	−	33.1234i	−1.21178	−	1.39847i
$562$	−14.9827	−	23.3777i	−0.632007	−	0.986127i
$563$	−33.0414	−	4.75063i	−1.39253	−	0.200215i	−0.595111	−	0.803644i	$-0.702892\pi$
$563$	−33.0414	−	4.75063i	−1.39253	−	0.200215i	−0.797417	+	0.603428i	$0.793801\pi$
$564$	7.96705	+	12.4653i	0.335474	+	0.524884i
$565$	−1.29993	+	2.02273i	−0.0546886	+	0.0850971i
$566$	4.27778	+	14.6364i	0.179808	+	0.615212i
$567$	1.08295	+	2.37134i	0.0454798	+	0.0995868i
$568$	−13.2871	−	11.6008i	−0.557515	−	0.486757i
$569$	−7.11158	+	24.2198i	−0.298133	+	1.01535i	0.665117	+	0.746739i	$0.268382\pi$
$569$	−7.11158	+	24.2198i	−0.298133	+	1.01535i	−0.963250	+	0.268608i	$0.913436\pi$
$570$	7.99596	−	3.63957i	0.334914	−	0.152445i
$571$	−7.66226	−	26.0953i	−0.320656	−	1.09205i	−0.949303	−	0.314362i	$-0.898209\pi$
$571$	−7.66226	−	26.0953i	−0.320656	−	1.09205i	0.628647	−	0.777690i	$-0.283609\pi$
$572$	10.9288	−	3.17936i	0.456956	−	0.132936i
$573$	1.10000	+	7.65065i	0.0459531	+	0.319611i
$574$	0.621987	−	1.35747i	0.0259612	−	0.0566599i
$575$	−9.43878	−	1.88183i	−0.393624	−	0.0784776i
$576$	9.48418	−	5.99520i	0.395174	−	0.249800i
$577$	0.684268	+	4.75919i	0.0284864	+	0.198127i	0.999095	−	0.0425366i	$-0.0135439\pi$
$577$	0.684268	+	4.75919i	0.0284864	+	0.198127i	−0.970608	+	0.240664i	$0.922635\pi$
$578$	2.21071	+	2.55774i	0.0919535	+	0.106388i
$579$	27.5911	−	8.10148i	1.14665	−	0.336686i
$580$	0.00883516	−	3.53836i	0.000366860	−	0.146923i
$581$	−0.426235	+	1.45162i	−0.0176832	+	0.0602235i
$582$	−46.0353	+	6.56022i	−1.90822	+	0.271930i
$583$	26.3472	−	12.0323i	1.09119	−	0.498329i
$584$	−18.7449	−	12.1461i	−0.775669	−	0.502607i
$585$	2.09014	−	3.25231i	0.0864165	−	0.134467i
$586$	−12.9389	−	8.33820i	−0.534503	−	0.344448i
$587$	0.477970	−	3.32436i	0.0197279	−	0.137211i	−0.977577	−	0.210578i	$-0.932465\pi$
$587$	0.477970	−	3.32436i	0.0197279	−	0.137211i	0.997305	+	0.0733671i	$0.0233745\pi$
$588$	−4.07633	−	28.8629i	−0.168105	−	1.19029i
$589$	−5.80234	−	6.69625i	−0.239081	−	0.275914i
$590$	29.0140	+	0.0362234i	1.19449	+	0.00149129i
$591$	23.1995	+	36.0992i	0.954301	+	1.48492i
$592$	17.3136	−	37.4159i	0.711585	−	1.53778i
$593$	−8.82091	+	10.1799i	−0.362231	+	0.418037i	−0.907386	−	0.420298i	$-0.861925\pi$
$593$	−8.82091	+	10.1799i	−0.362231	+	0.418037i	0.545155	+	0.838335i	$0.316471\pi$
$594$	25.6371	+	3.71873i	1.05190	+	0.152581i
$595$	2.13445	+	0.974772i	0.0875040	+	0.0399617i
$596$	−19.5699	+	22.4713i	−0.801614	+	0.920458i
$597$	19.8305			0.811607
$598$	2.57478	+	6.57669i	0.105291	+	0.268941i
$599$		−	0.00414983i		−	0.000169558i	−1.00000		8.47788e-5i	$-0.999973\pi$
$599$		−	0.00414983i		−	0.000169558i	1.00000		8.47788e-5i	$-2.69859e-5\pi$
$600$	4.90698	+	10.8522i	0.200327	+	0.443038i
$601$	−18.8359	+	41.2449i	−0.768333	+	1.68241i	−0.0380440	+	0.999276i	$0.512113\pi$
$601$	−18.8359	+	41.2449i	−0.768333	+	1.68241i	−0.730289	+	0.683138i	$0.760615\pi$
$602$	−2.30594	−	0.334483i	−0.0939831	−	0.0136325i
$603$	15.5781	+	13.4985i	0.634388	+	0.549701i
$604$	−4.25726	+	1.93139i	−0.173225	+	0.0785873i
$605$	42.0116	−	26.9992i	1.70802	−	1.09767i
$606$	−0.0696802	+	55.8121i	−0.00283057	+	2.26721i
$607$	−2.93700	+	2.54492i	−0.119209	+	0.103295i	−0.712425	−	0.701748i	$-0.752403\pi$
$607$	−2.93700	+	2.54492i	−0.119209	+	0.103295i	0.593216	+	0.805043i	$0.297858\pi$
$608$	5.77164	−	2.59240i	0.234071	−	0.105136i
$609$	−0.321930	−	0.0462866i	−0.0130453	−	0.00187563i
$610$	29.0593	+	18.7266i	1.17658	+	0.758217i
$611$	3.08832	+	1.98474i	0.124940	+	0.0802940i
$612$	−10.6085	−	1.55233i	−0.428825	−	0.0627490i
$613$	−13.6865	−	29.9692i	−0.552791	−	1.21044i	−0.955466	−	0.295101i	$-0.904647\pi$
$613$	−13.6865	−	29.9692i	−0.552791	−	1.21044i	0.402675	−	0.915343i	$-0.368081\pi$
$614$	−1.22110	−	8.56886i	−0.0492796	−	0.345811i
$615$	−24.2611	−	7.12371i	−0.978303	−	0.287256i
$616$	3.25533	+	1.50142i	0.131161	+	0.0604939i
$617$	10.9689	+	37.3567i	0.441592	+	1.50392i	0.816766	+	0.576969i	$0.195765\pi$
$617$	10.9689	+	37.3567i	0.441592	+	1.50392i	−0.375175	+	0.926954i	$0.622417\pi$
$618$	−23.5466	−	27.2428i	−0.947182	−	1.09587i
$619$	−13.8546	+	1.99199i	−0.556863	+	0.0800648i	−0.415000	−	0.909822i	$-0.636218\pi$
$619$	−13.8546	+	1.99199i	−0.556863	+	0.0800648i	−0.141863	+	0.989886i	$0.545309\pi$
$620$	31.7636	−	27.3848i	1.27566	−	1.09980i
$621$	−0.867495	+	16.0515i	−0.0348114	+	0.644126i
$622$	21.2177	+	9.72182i	0.850751	+	0.389809i
$623$	0.458426	−	0.0659118i	0.0183665	−	0.00264070i
$624$	4.76179	−	7.32877i	0.190624	−	0.293385i
$625$	29.7508	−	8.73563i	1.19003	−	0.349425i
$626$	29.9976	−	13.6542i	1.19894	−	0.545731i
$627$	−12.3059	−	3.61333i	−0.491449	−	0.144302i
$628$	8.58688	+	2.54464i	0.342654	+	0.101542i
$629$	−35.8353	+	16.3654i	−1.42885	+	0.652532i
$630$	1.16877	−	0.341597i	0.0465648	−	0.0136095i
$631$	9.28355	+	5.96617i	0.369572	+	0.237510i	0.712223	−	0.701953i	$-0.247688\pi$
$631$	9.28355	+	5.96617i	0.369572	+	0.237510i	−0.342651	+	0.939463i	$0.611325\pi$
$632$	1.28027	+	9.14757i	0.0509264	+	0.363871i
$633$	−5.13189	+	35.6931i	−0.203974	+	1.41867i
$634$	−2.01017	−	3.13649i	−0.0798342	−	0.124566i
$635$	−27.4318	+	23.7698i	−1.08860	+	0.943275i
$636$	9.28985	−	20.2083i	0.368367	−	0.801309i
$637$	−3.91067	−	6.08513i	−0.154947	−	0.241102i
$638$	−3.38758	+	3.89963i	−0.134116	+	0.154388i
$639$	6.61012	+	5.72770i	0.261492	+	0.226584i
$640$	12.2023	+	27.3493i	0.482337	+	1.08107i
$641$	21.7105	+	9.91484i	0.857512	+	0.391612i	0.795129	−	0.606440i	$-0.207403\pi$
$641$	21.7105	+	9.91484i	0.857512	+	0.391612i	0.0623823	+	0.998052i	$0.480130\pi$
$642$	1.10465	−	3.74478i	0.0435969	−	0.147794i
$643$		−	28.5391i		−	1.12547i	−0.826636	−	0.562737i	$-0.809748\pi$
$643$		−	28.5391i		−	1.12547i	0.826636	−	0.562737i	$-0.190252\pi$
$644$	−0.746225	+	2.09562i	−0.0294054	+	0.0825790i
$645$			39.4571i			1.55362i
$646$	−5.79889	−	1.71057i	−0.228154	−	0.0673016i
$647$	−39.7855	−	18.1694i	−1.56413	−	0.714315i	−0.569914	−	0.821704i	$-0.693023\pi$
$647$	−39.7855	−	18.1694i	−1.56413	−	0.714315i	−0.994217	+	0.107390i	$0.965751\pi$
$648$	26.8101	−	17.0883i	1.05320	−	0.671290i
$649$	−32.0109	−	27.7376i	−1.25654	−	1.08880i
$650$	2.23117	+	1.93821i	0.0875138	+	0.0760227i
$651$	−2.08413	−	3.24297i	−0.0816835	−	0.127102i
$652$	−13.3138	+	28.9615i	−0.521408	+	1.13422i
$653$	25.7258	−	22.2916i	1.00673	−	0.872337i	0.0148983	−	0.999889i	$-0.495258\pi$
$653$	25.7258	−	22.2916i	1.00673	−	0.872337i	0.991832	+	0.127552i	$0.0407121\pi$
$654$	31.7572	−	20.3532i	1.24181	−	0.795871i
$655$	5.20044	−	36.1698i	0.203198	−	1.41327i
$656$	−17.4468	−	5.21762i	−0.681183	−	0.203714i
$657$	9.31745	+	5.98796i	0.363508	+	0.233613i
$658$	0.324372	+	1.10983i	0.0126453	+	0.0432658i
$659$	29.4596	−	13.4538i	1.14758	−	0.524084i	0.251451	−	0.967870i	$-0.419092\pi$
$659$	29.4596	−	13.4538i	1.14758	−	0.524084i	0.896133	+	0.443786i	$0.146365\pi$
$660$	17.2482	−	58.2040i	0.671386	−	2.26559i
$661$	0.756713	+	0.222191i	0.0294327	+	0.00864223i	0.296416	−	0.955059i	$-0.404209\pi$
$661$	0.756713	+	0.222191i	0.0294327	+	0.00864223i	−0.266983	+	0.963701i	$0.586027\pi$
$662$	0.189511	+	0.416345i	0.00736555	+	0.0161817i
$663$	−8.01317	+	2.35288i	−0.311206	+	0.0913783i
$664$	18.2530	+	2.69421i	0.708355	+	0.104555i
$665$	0.679658	−	0.0977201i	0.0263560	−	0.00378942i
$666$	−8.51568	+	18.5853i	−0.329976	+	0.720165i
$667$	−2.59907	−	1.87594i	−0.100636	−	0.0726367i
$668$	27.5615	−	23.7619i	1.06639	−	0.919376i
$669$	16.4051	−	2.35869i	0.634257	−	0.0911923i
$670$	−41.6246	+	35.9771i	−1.60810	+	1.38992i
$671$	−14.2186	−	48.4241i	−0.548903	−	1.86939i
$672$	2.64604	−	0.759038i	0.102073	−	0.0292805i
$673$	−25.9405	−	7.61680i	−0.999931	−	0.293606i	−0.259503	−	0.965742i	$-0.583559\pi$
$673$	−25.9405	−	7.61680i	−0.999931	−	0.293606i	−0.740428	+	0.672136i	$0.765377\pi$
$674$	6.97266	−	0.993633i	0.268577	−	0.0382733i
$675$	2.79437	+	6.11882i	0.107555	+	0.235514i
$676$	−3.45042	+	23.5801i	−0.132709	+	0.906927i
$677$	−3.03667	−	1.95155i	−0.116709	−	0.0750041i	0.480984	−	0.876729i	$-0.340279\pi$
$677$	−3.03667	−	1.95155i	−0.116709	−	0.0750041i	−0.597693	+	0.801725i	$0.703916\pi$
$678$	1.46005	−	2.26566i	0.0560729	−	0.0870120i
$679$	−3.59740	−	0.517229i	−0.138056	−	0.0198494i
$680$	8.16512	−	27.4274i	0.313118	−	1.05179i
$681$	5.61079	−	4.86178i	0.215006	−	0.186304i
$682$	−61.2248	−	0.0764379i	−2.34442	−	0.00292696i
$683$	−24.1407	+	15.5143i	−0.923720	+	0.593639i	−0.913735	−	0.406311i	$-0.866815\pi$
$683$	−24.1407	+	15.5143i	−0.923720	+	0.593639i	−0.00998539	+	0.999950i	$0.503179\pi$
$684$	−2.85712	+	1.29619i	−0.109245	+	0.0495611i
$685$	9.83052	+	8.51819i	0.375605	+	0.325463i
$686$	0.656626	−	4.52680i	0.0250701	−	0.172834i
$687$	−21.3220	+	46.6886i	−0.813483	+	1.78128i
$688$	−0.141910	+	28.4163i	−0.00541025	+	1.08336i
$689$		−	5.51917i		−	0.210264i
$690$	36.9333	+	7.41142i	1.40603	+	0.282148i
$691$	21.0241			0.799793			0.399897	−	0.916560i	$-0.369046\pi$
$691$	21.0241			0.799793			0.399897	+	0.916560i	$0.369046\pi$
$692$	−17.7385	−	15.4482i	−0.674317	−	0.587254i
$693$	−1.61698	−	0.738452i	−0.0614241	−	0.0280515i
$694$	−4.24878	+	29.2912i	−0.161281	+	1.11188i
$695$	−12.0223	+	13.8745i	−0.456033	+	0.526290i
$696$	−0.0148563	+	3.96648i	−0.000563125	+	0.150349i
$697$	9.40769	+	14.6386i	0.356342	+	0.554478i
$698$	0.0364161	−	29.1684i	0.00137837	−	1.10404i
$699$	19.3472	+	22.3278i	0.731777	+	0.844515i
$700$	0.130175	+	0.921721i	0.00492016	+	0.0348378i
$701$	−2.56176	+	17.8174i	−0.0967562	+	0.672954i	0.882498	+	0.470317i	$0.155860\pi$
$701$	−2.56176	+	17.8174i	−0.0967562	+	0.672954i	−0.979254	+	0.202637i	$0.935049\pi$
$702$	2.67391	−	4.14929i	0.100920	−	0.156605i
$703$	−6.23256	+	9.69806i	−0.235066	+	0.365769i
$704$	12.6312	−	41.8555i	0.476056	−	1.57749i
$705$	17.8106	−	8.13382i	0.670786	−	0.306338i
$706$	−1.65908	−	11.6423i	−0.0624403	−	0.438165i
$707$	−1.22897	+	4.18549i	−0.0462202	+	0.157412i
$708$	−32.5245	−	0.0812125i	−1.22235	−	0.00305215i
$709$	9.10838	−	2.67446i	0.342072	−	0.100441i	−0.106184	−	0.994346i	$-0.533863\pi$
$709$	9.10838	−	2.67446i	0.342072	−	0.100441i	0.448256	+	0.893905i	$0.352045\pi$
$710$	−17.6623	+	15.2659i	−0.662853	+	0.572918i
$711$	−0.651827	−	4.53356i	−0.0244454	−	0.170022i
$712$	−1.57099	−	5.42540i	−0.0588755	−	0.203326i
$713$	−3.36952	−	37.8419i	−0.126189	−	1.41719i
$714$	−2.39135	−	1.09570i	−0.0894939	−	0.0410056i
$715$	−2.14386	−	14.9108i	−0.0801756	−	0.557634i
$716$	27.8357	−	8.09786i	1.04027	−	0.302631i
$717$	−16.0088	−	54.5209i	−0.597859	−	2.03612i
$718$	−6.56779	−	14.4291i	−0.245108	−	0.538489i
$719$	3.55001	−	12.0902i	0.132393	−	0.450889i	−0.866435	−	0.499290i	$-0.833594\pi$
$719$	3.55001	−	12.0902i	0.132393	−	0.450889i	0.998828	+	0.0484006i	$0.0154124\pi$
$720$	−6.10144	−	13.5388i	−0.227387	−	0.504562i
$721$	−1.16913	−	2.56004i	−0.0435408	−	0.0953410i
$722$	24.0929	−	7.04166i	0.896645	−	0.262063i
$723$	3.63745	−	5.65998i	0.135278	−	0.210497i
$724$	−9.16983	+	5.86079i	−0.340794	+	0.217815i
$725$	−1.32765	−	0.190888i	−0.0493079	−	0.00708940i
$726$	−47.1326	+	30.2072i	−1.74926	+	1.12109i
$727$	32.9604	+	38.0384i	1.22243	+	1.41076i	0.882498	+	0.470317i	$0.155860\pi$
$727$	32.9604	+	38.0384i	1.22243	+	1.41076i	0.339937	+	0.940448i	$0.389594\pi$
$728$	0.517921	−	0.445396i	0.0191954	−	0.0165075i
$729$	4.48706	−	2.88366i	0.166188	−	0.106802i
$730$	−19.3870	+	22.3175i	−0.717546	+	0.826006i
$731$	17.7819	−	20.5214i	0.657688	−	0.759012i
$732$	−32.5491	−	21.0331i	−1.20305	−	0.777405i
$733$	2.21203	−	4.84367i	0.0817033	−	0.178905i	−0.864371	−	0.502854i	$-0.832283\pi$
$733$	2.21203	−	4.84367i	0.0817033	−	0.178905i	0.946075	+	0.323949i	$0.105011\pi$
$734$	−36.4327	−	10.7470i	−1.34476	−	0.396681i
$735$	−38.5798			−1.42304
$736$	26.5721	+	5.47041i	0.979459	+	0.201642i
$737$	80.3185			2.95857
$738$	8.66090	+	2.55482i	0.318812	+	0.0940442i
$739$	−8.12862	+	17.7992i	−0.299016	+	0.654754i	−0.998186	−	0.0602012i	$-0.980826\pi$
$739$	−8.12862	+	17.7992i	−0.299016	+	0.654754i	0.699170	+	0.714955i	$0.253553\pi$
$740$	−45.8297	−	29.6149i	−1.68473	−	1.08867i
$741$	−1.60039	+	1.84694i	−0.0587917	+	0.0678492i
$742$	1.14001	−	1.31233i	0.0418512	−	0.0481772i
$743$	5.75417	−	3.69798i	0.211100	−	0.135666i	−0.430819	−	0.902439i	$-0.641775\pi$
$743$	5.75417	−	3.69798i	0.211100	−	0.135666i	0.641919	+	0.766773i	$0.278139\pi$
$744$	−35.6452	+	30.6538i	−1.30682	+	1.12382i
$745$	25.8269	+	29.8058i	0.946224	+	1.09200i
$746$	7.58798	−	4.86312i	0.277816	−	0.178052i
$747$	−9.05599	−	1.30206i	−0.331341	−	0.0476397i
$748$	−35.2012	+	22.4985i	−1.28708	+	0.822625i
$749$	0.164979	−	0.256712i	0.00602820	−	0.00938006i
$750$	−22.5660	+	6.59540i	−0.823996	+	0.240830i
$751$	22.5353	+	49.3454i	0.822325	+	1.80064i	0.540984	+	0.841033i	$0.318052\pi$
$751$	22.5353	+	49.3454i	0.822325	+	1.80064i	0.281341	+	0.959608i	$0.409221\pi$
$752$	12.8561	−	5.79378i	0.468815	−	0.211277i
$753$	−7.82086	+	26.6354i	−0.285008	+	0.970648i
$754$	0.407770	+	0.895849i	0.0148501	+	0.0326249i
$755$	1.74317	+	5.93669i	0.0634404	+	0.216058i
$756$	1.49285	−	0.434295i	0.0542945	−	0.0157951i
$757$	1.90048	+	13.2181i	0.0690741	+	0.480421i	0.994769	+	0.102150i	$0.0325721\pi$
$757$	1.90048	+	13.2181i	0.0690741	+	0.480421i	−0.925695	+	0.378271i	$0.876519\pi$
$758$	−2.19538	−	1.00591i	−0.0797398	−	0.0365363i
$759$	−33.7171	−	43.4434i	−1.22385	−	1.57690i
$760$	−2.32914	−	8.04365i	−0.0844868	−	0.291774i
$761$	−2.42660	−	16.8774i	−0.0879643	−	0.611805i	−0.985348	−	0.170554i	$-0.945444\pi$
$761$	−2.42660	−	16.8774i	−0.0879643	−	0.611805i	0.897384	−	0.441251i	$-0.145465\pi$
$762$	30.7842	−	26.6074i	1.11519	−	0.963885i
$763$	2.82869	−	0.830579i	0.102406	−	0.0300690i
$764$	7.36749	+	0.0183964i	0.266546	+	0.000665557i
$765$	−3.99784	+	13.6154i	−0.144542	+	0.492265i
$766$	−3.54705	−	24.8908i	−0.128160	−	0.899342i
$767$	−7.34162	+	3.35281i	−0.265091	+	0.121063i
$768$	−13.6404	−	30.6755i	−0.492206	−	1.10691i
$769$	−21.8575	+	34.0110i	−0.788203	+	1.22647i	0.181791	+	0.983337i	$0.441811\pi$
$769$	−21.8575	+	34.0110i	−0.788203	+	1.22647i	−0.969994	+	0.243130i	$0.921826\pi$
$770$	2.57015	−	3.98828i	0.0926218	−	0.143728i
$771$	6.02691	−	41.9181i	0.217054	−	1.50964i
$772$	−3.83307	−	27.1405i	−0.137955	−	0.976809i
$773$	14.2175	+	16.4079i	0.511368	+	0.590150i	0.951448	−	0.307809i	$-0.0995957\pi$
$773$	14.2175	+	16.4079i	0.511368	+	0.590150i	−0.440081	+	0.897958i	$0.645050\pi$
$774$	0.0175921	−	14.0908i	0.000632335	−	0.506484i
$775$	−8.59505	−	13.3742i	−0.308743	−	0.480414i
$776$	−0.166011	+	44.3233i	−0.00595945	+	1.59111i
$777$	−3.28450	+	3.79051i	−0.117831	+	0.135984i
$778$	1.75089	−	12.0707i	0.0627725	−	0.432756i
$779$	4.63183	+	2.11529i	0.165953	+	0.0757880i
$780$	−8.72314	−	7.59686i	−0.312339	−	0.272011i
$781$	34.0809			1.21951
$782$	−15.8688	−	20.4992i	−0.567466	−	0.733050i
$783$			2.24026i			0.0800603i
$784$	−27.7845	−	0.138755i	−0.992304	−	0.00495552i
$785$	4.92411	−	10.7823i	0.175749	−	0.384836i
$786$	−5.88029	+	40.5389i	−0.209743	+	1.44598i
$787$	−14.8925	−	12.9045i	−0.530861	−	0.459994i	0.347712	−	0.937601i	$-0.386959\pi$
$787$	−14.8925	−	12.9045i	−0.530861	−	0.459994i	−0.878573	+	0.477607i	$0.841504\pi$
$788$	37.2485	−	16.8986i	1.32692	−	0.601986i
$789$	−11.2048	+	7.20090i	−0.398902	+	0.256359i
$790$	12.2250	+	0.0152627i	0.434946	+	0.000543022i
$791$	0.159210	−	0.137956i	0.00566086	−	0.00490516i
$792$	−6.18560	+	20.7780i	−0.219796	+	0.738314i
$793$	−9.51880	−	1.36860i	−0.338023	−	0.0486003i
$794$	−11.3742	+	17.6501i	−0.403656	+	0.626380i
$795$	−24.7639	−	15.9148i	−0.878284	−	0.564439i
$796$	2.73677	−	18.7030i	0.0970023	−	0.662911i
$797$	−19.5341	−	42.7737i	−0.691932	−	1.51512i	−0.849486	−	0.527610i	$-0.823088\pi$
$797$	−19.5341	−	42.7737i	−0.691932	−	1.51512i	0.157554	−	0.987510i	$-0.449639\pi$
$798$	−0.762031	+	0.108593i	−0.0269756	+	0.00384414i
$799$	−12.9288	−	3.79625i	−0.457389	−	0.134302i
$800$	10.9124	−	3.13031i	0.385811	−	0.110673i
$801$	0.789073	+	2.68734i	0.0278805	+	0.0949523i
$802$	−6.56758	+	5.67650i	−0.231909	+	0.200444i
$803$	42.7176	−	6.14186i	1.50747	−	0.216742i
$804$	46.7114	−	40.2719i	1.64738	−	1.42028i
$805$	2.60823	+	1.36581i	0.0919281	+	0.0481385i
$806$	−4.85960	+	10.6060i	−0.171172	+	0.373580i
$807$	−59.2702	+	8.52177i	−2.08641	+	0.299981i
$808$	52.6293	+	7.76825i	1.85149	+	0.273286i
$809$	−28.0523	+	8.23691i	−0.986268	+	0.289594i	−0.734809	−	0.678274i	$-0.762728\pi$
$809$	−28.0523	+	8.23691i	−0.986268	+	0.289594i	−0.251458	+	0.967868i	$0.580910\pi$
$810$	−17.4323	−	38.2979i	−0.612509	−	1.34565i
$811$	36.6315	+	10.7560i	1.28631	+	0.377694i	0.852223	−	0.523179i	$-0.175254\pi$
$811$	36.6315	+	10.7560i	1.28631	+	0.377694i	0.434084	+	0.900872i	$0.357072\pi$
$812$	−0.0880840	+	0.297239i	−0.00309114	+	0.0104310i
$813$	−6.41664	+	2.93038i	−0.225041	+	0.102773i
$814$	22.3469	+	76.4596i	0.783259	+	2.67991i
$815$	35.4904	+	22.8083i	1.24318	+	0.798940i
$816$	−9.19145	+	30.7346i	−0.321765	+	1.07592i
$817$	1.13082	−	7.86502i	0.0395623	−	0.275162i
$818$	1.28913	−	0.826202i	0.0450734	−	0.0288875i
$819$	−0.255990	+	0.221817i	−0.00894503	+	0.00775091i
$820$	−10.0669	+	21.8986i	−0.351553	+	0.764734i
$821$	−9.06040	−	14.0983i	−0.316210	−	0.492033i	0.646372	−	0.763022i	$-0.276285\pi$
$821$	−9.06040	−	14.0983i	−0.316210	−	0.492033i	−0.962582	+	0.270990i	$0.912649\pi$
$822$	−11.0080	−	9.56261i	−0.383949	−	0.333534i
$823$	−7.75200	−	6.71715i	−0.270218	−	0.234145i	0.509202	−	0.860647i	$-0.329941\pi$
$823$	−7.75200	−	6.71715i	−0.270218	−	0.234145i	−0.779420	+	0.626502i	$0.784486\pi$
$824$	−28.9436	+	18.4481i	−1.00830	+	0.642670i
$825$	−20.9325	−	9.55956i	−0.728777	−	0.332821i
$826$	−2.43821	−	0.719230i	−0.0848361	−	0.0250252i
$827$			8.50642i			0.295797i	0.989003	+	0.147899i	$0.0472509\pi$
$827$			8.50642i			0.295797i	−0.989003	+	0.147899i	$0.952749\pi$
$828$	−13.1862	−	2.66322i	−0.458254	−	0.0925532i
$829$			37.9306i			1.31738i	0.752413	+	0.658692i	$0.228890\pi$
$829$			37.9306i			1.31738i	−0.752413	+	0.658692i	$0.771110\pi$
$830$	6.90917	−	23.4223i	0.239821	−	0.812999i
$831$	49.8974	+	22.7874i	1.73092	+	0.790486i
$832$	−6.25493	−	5.50250i	−0.216851	−	0.190765i
$833$	20.0652	+	17.3866i	0.695217	+	0.602409i
$834$	13.4964	−	15.5364i	0.467342	−	0.537983i
$835$	−26.0392	−	40.5178i	−0.901123	−	1.40218i
$836$	−5.10620	+	11.1075i	−0.176602	+	0.384163i
$837$	−20.0672	+	17.3884i	−0.693625	+	0.601029i
$838$	−4.97666	−	7.76514i	−0.171916	−	0.268242i
$839$	2.51864	−	17.5176i	0.0869532	−	0.604773i	−0.899025	−	0.437898i	$-0.855723\pi$
$839$	2.51864	−	17.5176i	0.0869532	−	0.604773i	0.985978	−	0.166875i	$-0.0533677\pi$
$840$	−0.504990	−	3.60817i	−0.0174238	−	0.124494i
$841$	24.0206	+	15.4371i	0.828295	+	0.532313i
$842$	40.4861	−	11.8329i	1.39524	−	0.407789i
$843$	37.4738	−	17.1137i	1.29067	−	0.589427i
$844$	32.9555	+	9.76606i	1.13438	+	0.336162i
$845$	30.2635	+	8.88617i	1.04110	+	0.305693i
$846$	−6.36411	+	2.89679i	−0.218802	+	0.0995938i
$847$	−4.19822	+	1.23271i	−0.144252	+	0.0423563i
$848$	−17.7773	−	11.5506i	−0.610473	−	0.396649i
$849$	−22.3936	+	3.21972i	−0.768548	+	0.110501i
$850$	−9.86203	−	4.51872i	−0.338265	−	0.154991i
$851$	−46.0058	+	18.0776i	−1.57706	+	0.619693i
$852$	19.8207	−	17.0882i	0.679045	−	0.585433i
$853$	26.9922	−	3.88090i	0.924196	−	0.132879i	0.336244	−	0.941775i	$-0.390843\pi$
$853$	26.9922	−	3.88090i	0.924196	−	0.132879i	0.587952	+	0.808896i	$0.299934\pi$
$854$	−1.98066	−	2.29158i	−0.0677768	−	0.0784162i
$855$	1.16987	+	3.98422i	0.0400088	+	0.136257i
$856$	−3.37942	−	1.55865i	−0.115506	−	0.0532736i
$857$	37.4158	+	10.9863i	1.27810	+	0.375284i	0.849201	−	0.528069i	$-0.177084\pi$
$857$	37.4158	+	10.9863i	1.27810	+	0.375284i	0.428898	+	0.903353i	$0.358902\pi$
$858$	2.38238	+	16.7180i	0.0813332	+	0.570742i
$859$	2.14536	+	4.69768i	0.0731987	+	0.160283i	0.942694	−	0.333658i	$-0.108283\pi$
$859$	2.14536	+	4.69768i	0.0731987	+	0.160283i	−0.869495	+	0.493941i	$0.835556\pi$
$860$	37.2138	+	5.44541i	1.26898	+	0.185687i
$861$	1.86370	+	1.19773i	0.0635148	+	0.0408185i
$862$	−13.0901	−	8.43558i	−0.445849	−	0.287317i
$863$	12.3957	+	1.78224i	0.421955	+	0.0606680i	0.350022	−	0.936741i	$-0.386174\pi$
$863$	12.3957	+	1.78224i	0.421955	+	0.0606680i	0.0719333	+	0.997409i	$0.477083\pi$
$864$	−7.76886	−	17.2964i	−0.264302	−	0.588434i
$865$	−23.5283	+	20.3874i	−0.799987	+	0.693193i
$866$	0.0299358	−	23.9778i	0.00101726	−	0.814798i
$867$	−4.21961	+	2.71178i	−0.143305	+	0.0920968i
$868$	−3.34622	+	1.51808i	−0.113578	+	0.0515270i
$869$	−13.4878	−	11.6872i	−0.457541	−	0.396461i
$870$	5.19539	+	0.753606i	0.176140	+	0.0255496i
$871$	6.35776	−	13.9215i	0.215424	−	0.471713i
$872$	−14.8132	−	32.7606i	−0.501639	−	1.10941i
$873$		−	21.9786i		−	0.743862i
$874$	−7.14955	−	2.53582i	−0.241837	−	0.0857753i
$875$	−1.83752			−0.0621194
$876$	21.7640	−	24.9906i	0.735337	−	0.844355i
$877$	−23.4424	−	10.7058i	−0.791595	−	0.361509i	−0.0217690	−	0.999763i	$-0.506930\pi$
$877$	−23.4424	−	10.7058i	−0.791595	−	0.361509i	−0.769826	+	0.638254i	$0.779657\pi$
$878$	36.2179	+	5.25351i	1.22229	+	0.177297i
$879$	14.9557	−	17.2597i	0.504442	−	0.582157i
$880$	−52.5145	−	24.3002i	−1.77026	−	0.819161i
$881$	−9.02958	−	14.0503i	−0.304214	−	0.473367i	0.655165	−	0.755486i	$-0.272599\pi$
$881$	−9.02958	−	14.0503i	−0.304214	−	0.473367i	−0.959379	+	0.282119i	$0.908963\pi$
$882$	13.7775	+	0.0172010i	0.463914	+	0.000579187i
$883$	37.8512	+	43.6826i	1.27379	+	1.47004i	0.812695	+	0.582689i	$0.197999\pi$
$883$	37.8512	+	43.6826i	1.27379	+	1.47004i	0.461099	+	0.887349i	$0.347455\pi$
$884$	1.11322	+	7.88231i	0.0374417	+	0.265111i
$885$	−6.12624	+	42.6089i	−0.205931	+	1.43228i
$886$	6.30904	+	4.06571i	0.211956	+	0.136590i
$887$	−15.7811	+	24.5558i	−0.529876	+	0.824503i	−0.998257	−	0.0590237i	$-0.981201\pi$
$887$	−15.7811	+	24.5558i	−0.529876	+	0.824503i	0.468381	+	0.883527i	$0.344838\pi$
$888$	51.3334	+	33.2623i	1.72264	+	1.11621i
$889$	2.89283	−	1.32111i	0.0970223	−	0.0443086i
$890$	−7.40086	+	1.05465i	−0.248077	+	0.0353521i
$891$	−17.3066	+	58.9408i	−0.579793	+	1.97459i
$892$	0.0394468	−	15.7979i	0.00132078	−	0.528953i
$893$	−3.78331	+	1.11088i	−0.126604	+	0.0371742i
$894$	−28.9101	−	33.4483i	−0.966898	−	1.11868i
$895$	−5.46041	−	37.9780i	−0.182521	−	1.26946i
$896$	−0.350708	−	2.60035i	−0.0117163	−	0.0868717i
$897$	−10.1990	+	2.40532i	−0.340533	+	0.0803112i
$898$	12.0646	−	26.3307i	0.402600	−	0.878666i
$899$	−0.753504	−	5.24074i	−0.0251308	−	0.174788i
$900$	−5.40523	+	1.57247i	−0.180174	+	0.0524156i
$901$	5.70734	+	19.4374i	0.190139	+	0.647554i
$902$	32.0239	−	14.5765i	1.06628	−	0.485345i
$903$	0.973962	−	3.31701i	0.0324114	−	0.110383i
$904$	−1.93535	−	1.68972i	−0.0643686	−	0.0561992i
$905$	5.98347	+	13.1020i	0.198897	+	0.435524i
$906$	−1.94578	−	6.65744i	−0.0646441	−	0.221179i
$907$	13.1980	−	20.5364i	0.438231	−	0.681901i	−0.549949	−	0.835198i	$-0.685353\pi$
$907$	13.1980	−	20.5364i	0.438231	−	0.681901i	0.988180	+	0.153297i	$0.0489891\pi$
$908$	−3.81103	−	5.96276i	−0.126473	−	0.197881i
$909$	−26.1113	−	3.75424i	−0.866058	−	0.124520i
$910$	−0.487840	−	0.761181i	−0.0161717	−	0.0252329i
$911$	9.95697	+	11.4910i	0.329889	+	0.380712i	0.896328	−	0.443391i	$-0.146225\pi$
$911$	9.95697	+	11.4910i	0.329889	+	0.380712i	−0.566439	+	0.824104i	$0.691679\pi$
$912$	2.59970	+	9.02015i	0.0860846	+	0.298687i
$913$	−29.9907	+	19.2738i	−0.992546	+	0.637870i
$914$	−1.98291	−	1.72254i	−0.0655888	−	0.0569765i
$915$	−33.5886	+	38.7633i	−1.11041	+	1.28148i
$916$	41.0915	+	26.5531i	1.35770	+	0.877340i
$917$	−1.33000	+	2.91230i	−0.0439205	+	0.0961725i
$918$	−5.12622	+	17.3780i	−0.169191	+	0.573560i
$919$	4.82897			0.159293			0.0796464	−	0.996823i	$-0.474621\pi$
$919$	4.82897			0.159293			0.0796464	+	0.996823i	$0.474621\pi$
$920$	12.0872	−	33.8107i	0.398502	−	1.11471i
$921$	12.8418			0.423150
$922$	−1.83995	+	6.23749i	−0.0605957	+	0.205421i
$923$	2.69774	−	5.90722i	0.0887970	−	0.194438i
$924$	−2.88671	+	4.46724i	−0.0949658	+	0.146961i
$925$	−13.5454	+	15.6323i	−0.445371	+	0.513985i
$926$	14.3979	+	12.5073i	0.473143	+	0.411016i
$927$	14.3178	−	9.20148i	0.470258	−	0.302216i
$928$	3.73891	+	0.561419i	0.122736	+	0.0184295i
$929$	−19.1496	−	22.0998i	−0.628277	−	0.725070i	0.348980	−	0.937130i	$-0.386528\pi$
$929$	−19.1496	−	22.0998i	−0.628277	−	0.725070i	−0.977257	+	0.212060i	$0.931983\pi$
$930$	33.5749	+	52.3873i	1.10096	+	1.71785i
$931$	7.69016	+	1.10568i	0.252035	+	0.0362371i
$932$	23.7284	−	15.1658i	0.777251	−	0.496771i
$933$	−18.7208	+	29.1301i	−0.612892	+	0.953678i
$934$	2.84274	+	9.72639i	0.0930173	+	0.318257i
$935$	22.9694	+	50.2960i	0.751180	+	1.64486i
$936$	3.11180	+	2.71686i	0.101712	+	0.0888035i
$937$	−1.35165	+	4.60330i	−0.0441565	+	0.150383i	−0.978620	−	0.205675i	$-0.934061\pi$
$937$	−1.35165	+	4.60330i	−0.0441565	+	0.150383i	0.934464	+	0.356058i	$0.115879\pi$
$938$	4.38729	−	1.99699i	0.143250	−	0.0652042i
$939$	13.7767	+	46.9192i	0.449586	+	1.53115i
$940$	−5.21337	−	17.9205i	−0.170041	−	0.584503i
$941$	0.189521	+	1.31815i	0.00617821	+	0.0429704i	0.992677	−	0.120796i	$-0.0385447\pi$
$941$	0.189521	+	1.31815i	0.00617821	+	0.0429704i	−0.986499	+	0.163766i	$0.947636\pi$
$942$	−5.53499	+	12.0800i	−0.180340	+	0.393588i
$943$	10.7956	+	18.9776i	0.351553	+	0.617997i
$944$	−4.56525	+	30.6642i	−0.148586	+	0.998033i
$945$	−0.292846	−	2.03679i	−0.00952629	−	0.0662568i
$946$	−35.9037	−	41.5397i	−1.16733	−	1.35057i
$947$	−5.77719	+	1.69634i	−0.187733	+	0.0551235i	−0.374248	−	0.927329i	$-0.622099\pi$
$947$	−5.77719	+	1.69634i	−0.187733	+	0.0551235i	0.186514	+	0.982452i	$0.440281\pi$
$948$	−13.7042	−	0.0342188i	−0.445090	−	0.00111137i
$949$	2.31682	−	7.89037i	0.0752072	−	0.256132i
$950$	−3.14265	+	0.447841i	−0.101961	+	0.0145299i
$951$	5.02772	−	2.29608i	0.163035	−	0.0744555i
$952$	−1.36343	+	2.10417i	−0.0441891	+	0.0681966i
$953$	−14.6914	+	22.8603i	−0.475901	+	0.740517i	−0.993342	−	0.115202i	$-0.963248\pi$
$953$	−14.6914	+	22.8603i	−0.475901	+	0.740517i	0.517441	+	0.855719i	$0.326885\pi$
$954$	8.83652	+	5.69449i	0.286093	+	0.184366i
$955$	1.38772	−	9.65182i	0.0449057	−	0.312326i
$956$	−53.6305	+	7.57427i	−1.73453	+	0.244969i
$957$	−5.01881	−	5.79201i	−0.162235	−	0.187229i
$958$	5.26522	+	0.00657353i	0.170112	+	0.000212381i
$959$	−0.616152	−	0.958750i	−0.0198966	−	0.0309597i
$960$	−42.7254	+	12.1984i	−1.37896	+	0.393702i
$961$	20.7950	−	23.9987i	0.670806	−	0.774151i
$962$	15.0216	+	2.17892i	0.484315	+	0.0702513i
$963$	1.67862	+	0.766601i	0.0540928	+	0.0247034i
$964$	−4.83619	−	4.21177i	−0.155763	−	0.135652i
$965$	−36.2776			−1.16782
$966$	−2.92191	−	1.53472i	−0.0940108	−	0.0493787i
$967$		−	5.45269i		−	0.175347i	−0.996149	−	0.0876734i	$-0.972057\pi$
$967$		−	5.45269i		−	0.175347i	0.996149	−	0.0876734i	$-0.0279432\pi$
$968$	21.9851	+	48.6218i	0.706628	+	1.56276i
$969$	3.72632	−	8.15951i	0.119707	−	0.262121i
$970$	58.0558	+	8.42116i	1.86406	+	0.270387i
$971$	−13.4254	−	11.6331i	−0.430840	−	0.373325i	0.412274	−	0.911060i	$-0.364735\pi$
$971$	−13.4254	−	11.6331i	−0.430840	−	0.373325i	−0.843114	+	0.537735i	$0.819280\pi$
$972$	11.1792	+	24.6416i	0.358572	+	0.790380i
$973$	1.35315	−	0.869619i	0.0433801	−	0.0278787i
$974$	−0.0630476	+	50.4995i	−0.00202018	+	1.61811i
$975$	−3.31390	+	2.87151i	−0.106130	+	0.0919620i
$976$	−24.3293	+	27.7958i	−0.778763	+	0.889723i
$977$	5.45952	+	0.784960i	0.174665	+	0.0251131i	0.229093	−	0.973405i	$-0.426424\pi$
$977$	5.45952	+	0.784960i	0.174665	+	0.0251131i	−0.0544271	+	0.998518i	$0.517333\pi$
$978$	−39.7527	−	25.6177i	−1.27115	−	0.819163i
$979$	9.18093	+	5.90023i	0.293424	+	0.188572i
$980$	−5.32434	+	36.3864i	−0.170080	+	1.16232i
$981$	7.40617	+	16.2172i	0.236461	+	0.517777i
$982$	3.98798	+	27.9850i	0.127262	+	0.893038i
$983$	−32.7632	−	9.62014i	−1.04498	−	0.306835i	−0.286195	−	0.958171i	$-0.592390\pi$
$983$	−32.7632	−	9.62014i	−1.04498	−	0.306835i	−0.758789	+	0.651337i	$0.774209\pi$
$984$	11.3156	−	24.5342i	0.360729	−	0.782121i
$985$	−15.2517	−	51.9425i	−0.485960	−	1.65503i
$986$	−2.36247	−	2.73333i	−0.0752364	−	0.0870468i
$987$	−1.69805	+	0.244142i	−0.0540494	+	0.00777114i
$988$	1.52107	+	1.76429i	0.0483917	+	0.0561296i
$989$	23.6683	−	24.5071i	0.752610	−	0.779279i
$990$	26.0851	+	11.9520i	0.829039	+	0.379861i
$991$	11.1650	−	1.60529i	0.354669	−	0.0509937i	0.0373222	−	0.999303i	$-0.488117\pi$
$991$	11.1650	−	1.60529i	0.354669	−	0.0509937i	0.317347	+	0.948310i	$0.397208\pi$
$992$	23.9916	+	37.8491i	0.761735	+	1.20171i
$993$	−0.651206	+	0.191211i	−0.0206654	+	0.00606791i
$994$	1.86162	−	0.847368i	0.0590472	−	0.0268769i
$995$	−24.0041	−	7.04824i	−0.760981	−	0.223444i
$996$	−7.77793	+	26.2466i	−0.246453	+	0.831655i
$997$	48.2883	−	22.0525i	1.52930	−	0.698410i	0.539651	−	0.841889i	$-0.318556\pi$
$997$	48.2883	−	22.0525i	1.52930	−	0.698410i	0.989653	+	0.143479i	$0.0458289\pi$
$998$	−31.3226	+	9.15468i	−0.991499	+	0.289786i
$999$	29.0630	+	18.6777i	0.919513	+	0.590935i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.j.a.43.20	yes	220
4.3	odd	2		736.2.r.a.687.18		220
8.3	odd	2	inner	184.2.j.a.43.4	✓	220
8.5	even	2		736.2.r.a.687.17		220
23.15	odd	22	inner	184.2.j.a.107.4	yes	220
92.15	even	22		736.2.r.a.15.17		220
184.61	odd	22		736.2.r.a.15.18		220
184.107	even	22	inner	184.2.j.a.107.20	yes	220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.j.a.43.4	✓	220	8.3	odd	2	inner
184.2.j.a.43.20	yes	220	1.1	even	1	trivial
184.2.j.a.107.4	yes	220	23.15	odd	22	inner
184.2.j.a.107.20	yes	220	184.107	even	22	inner
736.2.r.a.15.17		220	92.15	even	22
736.2.r.a.15.18		220	184.61	odd	22
736.2.r.a.687.17		220	8.5	even	2
736.2.r.a.687.18		220	4.3	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:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(1.35643 + 0.400124i) q^{2} +(-0.871631 + 1.90861i) q^{3} +(1.67980 + 1.08548i) q^{4} +(1.73345 - 2.00050i) q^{5} +(-1.94599 + 2.24013i) q^{6} +(-0.195105 + 0.125386i) q^{7} +(1.84421 + 2.14450i) q^{8} +(-0.918456 - 1.05995i) q^{9} +(3.15175 - 2.01995i) q^{10} +(-5.40936 - 0.777748i) q^{11} +(-3.53592 + 2.25994i) q^{12} +(-0.562994 + 0.876035i) q^{13} +(-0.314817 + 0.0920117i) q^{14} +(2.30725 + 5.05217i) q^{15} +(1.64347 + 3.64678i) q^{16} +(1.07685 - 3.66741i) q^{17} +(-0.821707 - 1.80525i) q^{18} +(-0.315114 - 1.07318i) q^{19} +(5.08335 - 1.47883i) q^{20} +(-0.0692537 - 0.481670i) q^{21} +(-7.02622 - 3.21937i) q^{22} +(1.59750 - 4.52195i) q^{23} +(-5.70048 + 1.65065i) q^{24} +(-0.285605 - 1.98643i) q^{25} +(-1.11418 + 0.963013i) q^{26} +(-3.21609 + 0.944328i) q^{27} +(-0.463842 - 0.00115820i) q^{28} +(0.188299 - 0.641289i) q^{29} +(1.10813 + 7.77610i) q^{30} +(7.20592 - 3.29083i) q^{31} +(0.770086 + 5.60419i) q^{32} +(6.19938 - 9.64643i) q^{33} +(2.92808 - 4.54371i) q^{34} +(-0.0873683 + 0.607660i) q^{35} +(-0.392265 - 2.77748i) q^{36} +(-6.74958 - 7.78943i) q^{37} +(0.00197482 - 1.58178i) q^{38} +(-1.18128 - 1.83811i) q^{39} +(7.48693 + 0.0280419i) q^{40} +(-2.98130 + 3.44060i) q^{41} +(0.0987898 - 0.681061i) q^{42} +(6.46217 + 2.95117i) q^{43} +(-8.24242 - 7.17821i) q^{44} -3.71254 q^{45} +(3.97623 - 5.49450i) q^{46} -3.52533i q^{47} +(-8.39277 - 0.0419131i) q^{48} +(-2.88556 + 6.31850i) q^{49} +(0.407414 - 2.80873i) q^{50} +(6.06102 + 5.25190i) q^{51} +(-1.89664 + 0.860448i) q^{52} +(-4.45868 + 2.86542i) q^{53} +(-4.74024 - 0.00591810i) q^{54} +(-10.9327 + 9.47326i) q^{55} +(-0.628706 - 0.187165i) q^{56} +(2.32294 + 0.333988i) q^{57} +(0.512010 - 0.794520i) q^{58} +(6.52016 + 4.19025i) q^{59} +(-1.60831 + 10.9911i) q^{60} +(3.83630 + 8.40033i) q^{61} +(11.0911 - 1.58052i) q^{62} +(0.312099 + 0.0916406i) q^{63} +(-1.19780 + 7.90982i) q^{64} +(0.776593 + 2.64483i) q^{65} +(12.2688 - 10.6042i) q^{66} +(-14.5473 + 2.09159i) q^{67} +(5.78978 - 4.99162i) q^{68} +(7.23819 + 6.99047i) q^{69} +(-0.361648 + 0.789289i) q^{70} +(-6.17276 + 0.887509i) q^{71} +(0.579255 - 3.92441i) q^{72} +(-7.57709 + 2.22483i) q^{73} +(-6.03859 - 13.2665i) q^{74} +(4.04025 + 1.18633i) q^{75} +(0.635585 - 2.14478i) q^{76} +(1.15291 - 0.526518i) q^{77} +(-0.866855 - 2.96593i) q^{78} +(2.74726 + 1.76556i) q^{79} +(10.1443 + 3.03373i) q^{80} +(1.59969 - 11.1261i) q^{81} +(-5.42059 + 3.47405i) q^{82} +(4.93001 - 4.27188i) q^{83} +(0.406510 - 0.884283i) q^{84} +(-5.47000 - 8.51149i) q^{85} +(7.58464 + 6.58872i) q^{86} +(1.05984 + 0.918357i) q^{87} +(-8.30809 - 13.0347i) q^{88} +(-1.81651 - 0.829570i) q^{89} +(-5.03579 - 1.48547i) q^{90} -0.241511i q^{91} +(7.59196 - 5.86192i) q^{92} +16.6217i q^{93} +(1.41057 - 4.78187i) q^{94} +(-2.69313 - 1.22991i) q^{95} +(-11.3674 - 3.41500i) q^{96} +(11.8432 + 10.2622i) q^{97} +(-6.44224 + 7.41601i) q^{98} +(4.14388 + 6.44800i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26}+ \cdots - 22 q^{99}+O(q^{100}) \) 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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