LMFDB - Embedded newform 184.2.j.a.11.14

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			11.14
Character	$\chi$	$=$	184.11
Dual form			184.2.j.a.67.14

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.592390 - 1.28416i) q^{2} +(-0.468808 + 3.26063i) q^{3} +(-1.29815 - 1.52145i) q^{4} +(-2.28389 + 0.670610i) q^{5} +(3.90947 + 2.53359i) q^{6} +(2.41865 + 2.79127i) q^{7} +(-2.72280 + 0.765741i) q^{8} +(-7.53346 - 2.21202i) q^{9} +(-0.491780 + 3.33015i) q^{10} +(-0.743947 + 1.15760i) q^{11} +(5.56947 - 3.51952i) q^{12} +(2.83938 + 2.46034i) q^{13} +(5.01722 - 1.45242i) q^{14} +(-1.11591 - 7.76130i) q^{15} +(-0.629623 + 3.95014i) q^{16} +(3.07719 - 1.40531i) q^{17} +(-7.30335 + 8.36381i) q^{18} +(0.864571 + 0.394836i) q^{19} +(3.98512 + 2.60427i) q^{20} +(-10.2352 + 6.57775i) q^{21} +(1.04585 + 1.64110i) q^{22} +(1.17100 - 4.65067i) q^{23} +(-1.22033 - 9.23704i) q^{24} +(0.560156 - 0.359990i) q^{25} +(4.84149 - 2.18875i) q^{26} +(6.63901 - 14.5374i) q^{27} +(1.10701 - 7.30333i) q^{28} +(1.11403 - 0.508763i) q^{29} +(-10.6278 - 3.16471i) q^{30} +(4.52606 - 0.650749i) q^{31} +(4.69964 + 3.14856i) q^{32} +(-3.42575 - 2.96843i) q^{33} +(0.0182555 - 4.78411i) q^{34} +(-7.39577 - 4.75297i) q^{35} +(6.41406 + 14.3333i) q^{36} +(-1.98930 - 0.584112i) q^{37} +(1.01920 - 0.876353i) q^{38} +(-9.35337 + 8.10475i) q^{39} +(5.70505 - 3.57480i) q^{40} +(-0.179521 + 0.0527121i) q^{41} +(2.38368 + 17.0402i) q^{42} +(5.68045 + 0.816725i) q^{43} +(2.72699 - 0.370863i) q^{44} +18.6890 q^{45} +(-5.27854 - 4.25876i) q^{46} +6.84123i q^{47} +(-12.5848 - 3.90482i) q^{48} +(-0.945117 + 6.57343i) q^{49} +(-0.130455 - 0.932586i) q^{50} +(3.13958 + 10.6924i) q^{51} +(0.0573446 - 7.51386i) q^{52} +(-1.99471 - 2.30201i) q^{53} +(-14.7355 - 17.1374i) q^{54} +(0.922791 - 3.14274i) q^{55} +(-8.72288 - 5.74801i) q^{56} +(-1.69273 + 2.63394i) q^{57} +(0.00660904 - 1.73199i) q^{58} +(-5.46581 + 6.30788i) q^{59} +(-10.3598 + 11.7731i) q^{60} +(-0.680500 - 4.73298i) q^{61} +(1.84553 - 6.19770i) q^{62} +(-12.0464 - 26.3780i) q^{63} +(6.82728 - 4.16992i) q^{64} +(-8.13475 - 3.71501i) q^{65} +(-5.84133 + 2.64076i) q^{66} +(2.98789 + 4.64925i) q^{67} +(-6.13276 - 2.85750i) q^{68} +(14.6152 + 5.99846i) q^{69} +(-10.4848 + 6.68176i) q^{70} +(4.40011 + 6.84670i) q^{71} +(22.2059 + 0.254215i) q^{72} +(-5.14799 + 11.2725i) q^{73} +(-1.92854 + 2.20857i) q^{74} +(0.911191 + 1.99523i) q^{75} +(-0.521617 - 1.82796i) q^{76} +(-5.03053 + 0.723281i) q^{77} +(4.86697 + 16.8124i) q^{78} +(0.151602 - 0.174958i) q^{79} +(-1.21101 - 9.44390i) q^{80} +(24.4734 + 15.7281i) q^{81} +(-0.0386555 + 0.261760i) q^{82} +(4.06115 - 13.8310i) q^{83} +(23.2945 + 7.03342i) q^{84} +(-6.08555 + 5.27316i) q^{85} +(4.41385 - 6.81080i) q^{86} +(1.13662 + 3.87097i) q^{87} +(1.13919 - 3.72160i) q^{88} +(3.75848 + 0.540388i) q^{89} +(11.0712 - 23.9997i) q^{90} +13.8762i q^{91} +(-8.59590 + 4.25565i) q^{92} +15.0629i q^{93} +(8.78526 + 4.05268i) q^{94} +(-2.23936 - 0.321972i) q^{95} +(-12.4695 + 13.8477i) q^{96} +(-4.62355 - 15.7464i) q^{97} +(7.88148 + 5.10772i) q^{98} +(8.16515 - 7.07514i) 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 $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{9}{22}\right)$

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 $

$2$	0.592390	−	1.28416i	0.418883	−	0.908040i
$2$	0.592390	−	1.28416i	0.418883	−	0.908040i
$3$	−0.468808	+	3.26063i	−0.270666	+	1.88253i	0.170885	+	0.985291i	$0.445337\pi$
$3$	−0.468808	+	3.26063i	−0.270666	+	1.88253i	−0.441552	+	0.897236i	$0.645572\pi$
$4$	−1.29815	−	1.52145i	−0.649074	−	0.760725i
$5$	−2.28389	+	0.670610i	−1.02139	+	0.299906i	−0.749203	−	0.662340i	$-0.769563\pi$
$5$	−2.28389	+	0.670610i	−1.02139	+	0.299906i	−0.272182	+	0.962246i	$0.587745\pi$
$6$	3.90947	+	2.53359i	1.59603	+	1.03433i
$7$	2.41865	+	2.79127i	0.914163	+	1.05500i	0.998285	+	0.0585446i	$0.0186460\pi$
$7$	2.41865	+	2.79127i	0.914163	+	1.05500i	−0.0841221	+	0.996455i	$0.526809\pi$
$8$	−2.72280	+	0.765741i	−0.962655	+	0.270730i
$9$	−7.53346	−	2.21202i	−2.51115	−	0.737341i
$10$	−0.491780	+	3.33015i	−0.155514	+	1.05308i
$11$	−0.743947	+	1.15760i	−0.224309	+	0.349031i	−0.935107	−	0.354364i	$-0.884697\pi$
$11$	−0.743947	+	1.15760i	−0.224309	+	0.349031i	0.710799	+	0.703395i	$0.248334\pi$
$12$	5.56947	−	3.51952i	1.60777	−	1.01600i
$13$	2.83938	+	2.46034i	0.787502	+	0.682374i	0.952709	−	0.303885i	$-0.0982837\pi$
$13$	2.83938	+	2.46034i	0.787502	+	0.682374i	−0.165207	+	0.986259i	$0.552829\pi$
$14$	5.01722	−	1.45242i	1.34091	−	0.388175i
$15$	−1.11591	−	7.76130i	−0.288126	−	2.00396i
$16$	−0.629623	+	3.95014i	−0.157406	+	0.987534i
$17$	3.07719	−	1.40531i	0.746329	−	0.340837i	−0.00568517	−	0.999984i	$-0.501810\pi$
$17$	3.07719	−	1.40531i	0.746329	−	0.340837i	0.752014	+	0.659147i	$0.229082\pi$
$18$	−7.30335	+	8.36381i	−1.72142	+	1.97137i
$19$	0.864571	+	0.394836i	0.198346	+	0.0905817i	0.512112	−	0.858919i	$-0.328863\pi$
$19$	0.864571	+	0.394836i	0.198346	+	0.0905817i	−0.313766	+	0.949500i	$0.601591\pi$
$20$	3.98512	+	2.60427i	0.891101	+	0.582333i
$21$	−10.2352	+	6.57775i	−2.23350	+	1.43538i
$22$	1.04585	+	1.64110i	0.222975	+	0.349884i
$23$	1.17100	−	4.65067i	0.244170	−	0.969733i
$23$	1.17100	−	4.65067i	0.244170	−	0.969733i
$24$	−1.22033	−	9.23704i	−0.249099	−	1.88550i
$25$	0.560156	−	0.359990i	0.112031	−	0.0719981i
$26$	4.84149	−	2.18875i	0.949495	−	0.429248i
$27$	6.63901	−	14.5374i	1.27768	−	2.79773i
$28$	1.10701	−	7.30333i	0.209206	−	1.38020i
$29$	1.11403	−	0.508763i	0.206871	−	0.0944748i	−0.309285	−	0.950969i	$-0.600090\pi$
$29$	1.11403	−	0.508763i	0.206871	−	0.0944748i	0.516156	+	0.856495i	$0.327362\pi$
$30$	−10.6278	−	3.16471i	−1.94037	−	0.577795i
$31$	4.52606	−	0.650749i	0.812905	−	0.116878i	0.276689	−	0.960959i	$-0.410763\pi$
$31$	4.52606	−	0.650749i	0.812905	−	0.116878i	0.536215	+	0.844081i	$0.319854\pi$
$32$	4.69964	+	3.14856i	0.830786	+	0.556592i
$33$	−3.42575	−	2.96843i	−0.596347	−	0.516738i
$34$	0.0182555	−	4.78411i	0.00313080	−	0.820468i
$35$	−7.39577	−	4.75297i	−1.25011	−	0.803399i
$36$	6.41406	+	14.3333i	1.06901	+	2.38889i
$37$	−1.98930	−	0.584112i	−0.327039	−	0.0960275i	0.114091	−	0.993470i	$-0.463604\pi$
$37$	−1.98930	−	0.584112i	−0.327039	−	0.0960275i	−0.441131	+	0.897443i	$0.645423\pi$
$38$	1.01920	−	0.876353i	0.165336	−	0.142163i
$39$	−9.35337	+	8.10475i	−1.49774	+	1.29780i
$40$	5.70505	−	3.57480i	0.902048	−	0.565226i
$41$	−0.179521	+	0.0527121i	−0.0280365	+	0.00823225i	−0.295721	−	0.955274i	$-0.595560\pi$
$41$	−0.179521	+	0.0527121i	−0.0280365	+	0.00823225i	0.267684	+	0.963507i	$0.413742\pi$
$42$	2.38368	+	17.0402i	0.367810	+	2.62936i
$43$	5.68045	+	0.816725i	0.866260	+	0.124549i	0.561096	−	0.827750i	$-0.310380\pi$
$43$	5.68045	+	0.816725i	0.866260	+	0.124549i	0.305164	+	0.952300i	$0.401289\pi$
$44$	2.72699	−	0.370863i	0.411110	−	0.0559098i
$45$	18.6890			2.78599
$46$	−5.27854	−	4.25876i	−0.778278	−	0.627920i
$47$			6.84123i			0.997896i	0.866632	+	0.498948i	$0.166280\pi$
$47$			6.84123i			0.997896i	−0.866632	+	0.498948i	$0.833720\pi$
$48$	−12.5848	−	3.90482i	−1.81645	−	0.563613i
$49$	−0.945117	+	6.57343i	−0.135017	+	0.939062i
$50$	−0.130455	−	0.932586i	−0.0184492	−	0.131888i
$51$	3.13958	+	10.6924i	0.439629	+	1.49724i
$52$	0.0573446	−	7.51386i	0.00795227	−	1.04198i
$53$	−1.99471	−	2.30201i	−0.273994	−	0.316206i	0.602030	−	0.798474i	$-0.294359\pi$
$53$	−1.99471	−	2.30201i	−0.273994	−	0.316206i	−0.876024	+	0.482267i	$0.839813\pi$
$54$	−14.7355	−	17.1374i	−2.00525	−	2.33210i
$55$	0.922791	−	3.14274i	0.124429	−	0.423767i
$56$	−8.72288	−	5.74801i	−1.16564	−	0.768110i
$57$	−1.69273	+	2.63394i	−0.224208	+	0.348875i
$58$	0.00660904	−	1.73199i	0.000867810	−	0.227421i
$59$	−5.46581	+	6.30788i	−0.711588	+	0.821217i	−0.990269	−	0.139167i	$-0.955557\pi$
$59$	−5.46581	+	6.30788i	−0.711588	+	0.821217i	0.278681	+	0.960384i	$0.410103\pi$
$60$	−10.3598	+	11.7731i	−1.33745	+	1.51990i
$61$	−0.680500	−	4.73298i	−0.0871291	−	0.605996i	−0.985870	−	0.167515i	$-0.946426\pi$
$61$	−0.680500	−	4.73298i	−0.0871291	−	0.605996i	0.898740	−	0.438481i	$-0.144483\pi$
$62$	1.84553	−	6.19770i	0.234382	−	0.787108i
$63$	−12.0464	−	26.3780i	−1.51771	−	3.32332i
$64$	6.82728	−	4.16992i	0.853410	−	0.521240i
$65$	−8.13475	−	3.71501i	−1.00899	−	0.460791i
$66$	−5.84133	+	2.64076i	−0.719019	+	0.325055i
$67$	2.98789	+	4.64925i	0.365029	+	0.567997i	0.974381	−	0.224903i	$-0.0722067\pi$
$67$	2.98789	+	4.64925i	0.365029	+	0.567997i	−0.609352	+	0.792900i	$0.708570\pi$
$68$	−6.13276	−	2.85750i	−0.743706	−	0.346523i
$69$	14.6152	+	5.99846i	1.75946	+	0.722130i
$70$	−10.4848	+	6.68176i	−1.25317	+	0.798623i
$71$	4.40011	+	6.84670i	0.522197	+	0.812554i	0.997744	−	0.0671363i	$-0.0213862\pi$
$71$	4.40011	+	6.84670i	0.522197	+	0.812554i	−0.475547	+	0.879690i	$0.657750\pi$
$72$	22.2059	+	0.254215i	2.61700	+	0.0299595i
$73$	−5.14799	+	11.2725i	−0.602527	+	1.31935i	0.325042	+	0.945699i	$0.394621\pi$
$73$	−5.14799	+	11.2725i	−0.602527	+	1.31935i	−0.927569	+	0.373651i	$0.878106\pi$
$74$	−1.92854	+	2.20857i	−0.224188	+	0.256741i
$75$	0.911191	+	1.99523i	0.105215	+	0.230389i
$76$	−0.521617	−	1.82796i	−0.0598336	−	0.209681i
$77$	−5.03053	+	0.723281i	−0.573282	+	0.0824255i
$78$	4.86697	+	16.8124i	0.551075	+	1.90363i
$79$	0.151602	−	0.174958i	0.0170566	−	0.0196844i	−0.747157	−	0.664647i	$-0.768582\pi$
$79$	0.151602	−	0.174958i	0.0170566	−	0.0196844i	0.764214	+	0.644963i	$0.223127\pi$
$80$	−1.21101	−	9.44390i	−0.135395	−	1.05586i
$81$	24.4734	+	15.7281i	2.71927	+	1.74757i
$82$	−0.0386555	+	0.261760i	−0.00426879	+	0.0289066i
$83$	4.06115	−	13.8310i	0.445769	−	1.51815i	−0.363999	−	0.931399i	$-0.618589\pi$
$83$	4.06115	−	13.8310i	0.445769	−	1.51815i	0.809768	−	0.586750i	$-0.199593\pi$
$84$	23.2945	+	7.03342i	2.54164	+	0.767409i
$85$	−6.08555	+	5.27316i	−0.660071	+	0.571955i
$86$	4.41385	−	6.81080i	0.475957	−	0.734427i
$87$	1.13662	+	3.87097i	0.121858	+	0.415011i
$88$	1.13919	−	3.72160i	0.121438	−	0.396724i
$89$	3.75848	+	0.540388i	0.398398	+	0.0572810i	0.338602	−	0.940930i	$-0.390046\pi$
$89$	3.75848	+	0.540388i	0.398398	+	0.0572810i	0.0597958	+	0.998211i	$0.480955\pi$
$90$	11.0712	−	23.9997i	1.16700	−	2.52979i
$91$			13.8762i			1.45462i
$92$	−8.59590	+	4.25565i	−0.896184	+	0.443682i
$93$			15.0629i			1.56195i
$94$	8.78526	+	4.05268i	0.906130	+	0.418002i
$95$	−2.23936	−	0.321972i	−0.229754	−	0.0330336i
$96$	−12.4695	+	13.8477i	−1.27267	+	1.41333i
$97$	−4.62355	−	15.7464i	−0.469450	−	1.59880i	−0.765372	−	0.643588i	$-0.777445\pi$
$97$	−4.62355	−	15.7464i	−0.469450	−	1.59880i	0.295922	−	0.955212i	$-0.404373\pi$
$98$	7.88148	+	5.10772i	0.796150	+	0.515958i
$99$	8.16515	−	7.07514i	0.820628	−	0.711079i
$100$	−1.27487	−	0.384929i	−0.127487	−	0.0384929i
$101$	2.10410	−	7.16589i	0.209365	−	0.713033i	−0.786116	−	0.618079i	$-0.787911\pi$
$101$	2.10410	−	7.16589i	0.209365	−	0.713033i	0.995482	−	0.0949543i	$-0.0302705\pi$
$102$	15.5907	+	2.30235i	1.54371	+	0.227967i
$103$	15.4102	+	9.90355i	1.51841	+	0.975826i	0.992088	+	0.125543i	$0.0400674\pi$
$103$	15.4102	+	9.90355i	1.51841	+	0.975826i	0.526327	+	0.850283i	$0.323569\pi$
$104$	−9.61504	−	4.52477i	−0.942832	−	0.443690i
$105$	18.9649	−	21.8867i	1.85078	−	2.13592i
$106$	−4.13781	+	1.19784i	−0.401899	+	0.116344i
$107$	−5.36774	+	0.771765i	−0.518919	+	0.0746093i	−0.396798	−	0.917906i	$-0.629879\pi$
$107$	−5.36774	+	0.771765i	−0.518919	+	0.0746093i	−0.122121	+	0.992515i	$0.538970\pi$
$108$	−30.7364	+	8.77078i	−2.95761	+	0.843969i
$109$	−6.27842	−	13.7478i	−0.601364	−	1.31680i	−0.928327	−	0.371766i	$-0.878752\pi$
$109$	−6.27842	−	13.7478i	−0.601364	−	1.31680i	0.326963	−	0.945037i	$-0.393975\pi$
$110$	−3.48913	−	3.04674i	−0.332676	−	0.290495i
$111$	2.83718	−	6.21255i	0.269293	−	0.589669i
$112$	−12.5487	+	7.79654i	−1.18574	+	0.736704i
$113$	0.287381	+	0.447174i	0.0270346	+	0.0420666i	0.854508	−	0.519439i	$-0.173859\pi$
$113$	0.287381	+	0.447174i	0.0270346	+	0.0420666i	−0.827473	+	0.561505i	$0.810222\pi$
$114$	2.37966	+	3.73407i	0.222875	+	0.349728i
$115$	0.444363	+	11.4069i	0.0414371	+	1.06370i
$116$	−2.22024	−	1.03450i	−0.206144	−	0.0960508i
$117$	−15.9480	−	24.8156i	−1.47440	−	2.29421i
$118$	4.86246	+	10.7557i	0.447625	+	0.990144i
$119$	11.3652	+	5.19033i	1.04185	+	0.475797i
$120$	8.98154	+	20.2780i	0.819899	+	1.85112i
$121$	3.78297	+	8.28356i	0.343907	+	0.753051i
$122$	−6.48104	−	1.92990i	−0.586766	−	0.174725i
$123$	−0.0877139	−	0.610064i	−0.00790890	−	0.0550076i
$124$	−6.86558	−	6.04141i	−0.616547	−	0.542535i
$125$	6.75593	−	7.79675i	0.604268	−	0.697363i
$126$	−41.0099	−	0.156488i	−3.65345	−	0.0139411i
$127$	4.77859	−	7.43563i	0.424031	−	0.659805i	−0.561852	−	0.827238i	$-0.689911\pi$
$127$	4.77859	−	7.43563i	0.424031	−	0.659805i	0.985884	+	0.167432i	$0.0535475\pi$
$128$	−1.31045	−	11.2376i	−0.115828	−	0.993269i
$129$	−5.32608	+	18.1390i	−0.468935	+	1.59705i
$130$	−9.58963	+	8.24560i	−0.841066	+	0.723187i
$131$	−4.54883	−	5.24963i	−0.397433	−	0.458663i	0.521398	−	0.853314i	$-0.325411\pi$
$131$	−4.54883	−	5.24963i	−0.397433	−	0.458663i	−0.918831	+	0.394651i	$0.870865\pi$
$132$	−0.0691872	+	9.06558i	−0.00602197	+	0.789058i
$133$	0.988998	+	3.36822i	0.0857570	+	0.292062i
$134$	7.74039	−	1.08277i	0.668668	−	0.0935371i
$135$	−5.41383	+	37.6540i	−0.465948	+	3.24074i
$136$	−7.30248	+	6.18271i	−0.626183	+	0.530163i
$137$		−	16.7580i		−	1.43174i	−0.698236	−	0.715868i	$-0.746031\pi$
$137$		−	16.7580i		−	1.43174i	0.698236	−	0.715868i	$-0.253969\pi$
$138$	16.3609	−	15.2148i	1.39273	−	1.29517i
$139$	4.97062			0.421603			0.210801	−	0.977529i	$-0.432393\pi$
$139$	4.97062			0.421603			0.210801	+	0.977529i	$0.432393\pi$
$140$	2.36939	+	17.4224i	0.200250	+	1.47246i
$141$	−22.3067	−	3.20723i	−1.87857	−	0.270097i
$142$	11.3989	−	1.59454i	0.956571	−	0.133811i
$143$	−4.96045	+	1.45652i	−0.414813	+	0.121800i
$144$	13.4810	−	28.3655i	1.12342	−	2.36379i
$145$	−2.20315	+	1.90904i	−0.182961	+	0.158537i
$146$	11.4261	+	13.2886i	0.945635	+	1.09977i
$147$	−20.9905	−	6.16336i	−1.73126	−	0.508345i
$148$	1.69371	+	3.78489i	0.139222	+	0.311116i
$149$	−6.14335	−	3.94809i	−0.503283	−	0.323440i	0.264245	−	0.964455i	$-0.414877\pi$
$149$	−6.14335	−	3.94809i	−0.503283	−	0.323440i	−0.767528	+	0.641015i	$0.778513\pi$
$150$	3.10198	+	0.0118368i	0.253276	+	0.000966467i
$151$	−12.4345	−	10.7746i	−1.01191	−	0.876823i	−0.0194997	−	0.999810i	$-0.506207\pi$
$151$	−12.4345	−	10.7746i	−1.01191	−	0.876823i	−0.992408	+	0.122987i	$0.960753\pi$
$152$	−2.65640	−	0.413022i	−0.215462	−	0.0335005i
$153$	−26.2905	+	3.78000i	−2.12546	+	0.305595i
$154$	−2.05123	+	6.88849i	−0.165292	+	0.555090i
$155$	−9.90062	+	4.52146i	−0.795237	+	0.363172i
$156$	24.4730	+	3.70954i	1.95941	+	0.297001i
$157$	−6.52332	+	14.2841i	−0.520617	+	1.13999i	0.448588	+	0.893739i	$0.351927\pi$
$157$	−6.52332	+	14.2841i	−0.520617	+	1.13999i	−0.969205	+	0.246254i	$0.920800\pi$
$158$	−0.134867	−	0.298326i	−0.0107295	−	0.0237335i
$159$	8.44116	−	5.42480i	0.669427	−	0.430215i
$160$	−12.8449	−	4.03933i	−1.01548	−	0.319337i
$161$	15.8135	−	7.97977i	1.24628	−	0.628894i
$162$	34.6952	−	22.1107i	2.72592	−	1.73718i
$163$	−2.89233	+	1.85879i	−0.226545	+	0.145591i	−0.648990	−	0.760797i	$-0.724808\pi$
$163$	−2.89233	+	1.85879i	−0.226545	+	0.145591i	0.422445	+	0.906388i	$0.361172\pi$
$164$	0.313244	+	0.204704i	0.0244602	+	0.0159847i
$165$	9.81470	+	4.48222i	0.764073	+	0.348941i
$166$	−15.3555	−	13.4085i	−1.19182	−	1.04070i
$167$	−13.8058	+	6.30491i	−1.06833	+	0.487888i	−0.870408	−	0.492330i	$-0.836145\pi$
$167$	−13.8058	+	6.30491i	−1.06833	+	0.487888i	−0.197918	+	0.980219i	$0.563418\pi$
$168$	22.8315	−	25.7474i	1.76149	−	1.98645i
$169$	0.158727	+	1.10397i	0.0122098	+	0.0849211i
$170$	3.16658	+	10.9386i	0.242865	+	0.838953i
$171$	−5.63982	−	4.88694i	−0.431288	−	0.373713i
$172$	−6.13146	−	9.70275i	−0.467519	−	0.739828i
$173$	−3.52051	+	5.47802i	−0.267660	+	0.416486i	−0.948902	−	0.315572i	$-0.897804\pi$
$173$	−3.52051	+	5.47802i	−0.267660	+	0.416486i	0.681242	+	0.732058i	$0.261440\pi$
$174$	5.64428	+	0.833519i	0.427891	+	0.0631889i
$175$	2.35965	+	0.692856i	0.178373	+	0.0523750i
$176$	−4.10429	−	3.66755i	−0.309373	−	0.276452i
$177$	−18.0053	−	20.7792i	−1.35336	−	1.56186i
$178$	2.92043	−	4.50638i	0.218896	−	0.337767i
$179$	3.31082	−	0.972145i	0.247463	−	0.0726616i	−0.155649	−	0.987812i	$-0.549747\pi$
$179$	3.31082	−	0.972145i	0.247463	−	0.0726616i	0.403112	+	0.915151i	$0.367929\pi$
$180$	−24.2611	−	28.4344i	−1.80831	−	2.11937i
$181$	0.934744	−	6.50128i	0.0694789	−	0.483237i	−0.925139	−	0.379628i	$-0.876052\pi$
$181$	0.934744	−	6.50128i	0.0694789	−	0.483237i	0.994618	−	0.103609i	$-0.0330389\pi$
$182$	17.8192	+	8.22009i	1.32085	+	0.609314i
$183$	15.7515			1.16439
$184$	0.372824	+	13.5595i	0.0274850	+	0.999622i
$185$	4.93506			0.362833
$186$	19.3432	+	8.92311i	1.41831	+	0.654274i
$187$	−0.662480	+	4.60765i	−0.0484453	+	0.336945i
$188$	10.4086	−	8.88093i	0.759125	−	0.647709i
$189$	56.6352	−	16.6296i	4.11961	−	1.20963i
$190$	−1.74004	+	2.68497i	−0.126236	+	0.194789i
$191$	8.38551	+	9.67740i	0.606754	+	0.700232i	0.973136	−	0.230233i	$-0.0739488\pi$
$191$	8.38551	+	9.67740i	0.606754	+	0.700232i	−0.366381	+	0.930465i	$0.619403\pi$
$192$	10.3959	+	24.2161i	0.750259	+	1.74765i
$193$	9.81508	+	2.88197i	0.706505	+	0.207448i	0.615196	−	0.788374i	$-0.289077\pi$
$193$	9.81508	+	2.88197i	0.706505	+	0.207448i	0.0913086	+	0.995823i	$0.470895\pi$
$194$	−22.9598	−	3.39060i	−1.64842	−	0.243431i
$195$	15.9269	−	24.7828i	1.14055	−	1.77473i
$196$	11.2281	−	7.09534i	0.802004	−	0.506810i
$197$	6.64274	+	5.75597i	0.473276	+	0.410096i	0.858569	−	0.512699i	$-0.171354\pi$
$197$	6.64274	+	5.75597i	0.473276	+	0.410096i	−0.385293	+	0.922794i	$0.625900\pi$
$198$	−4.24868	−	14.6766i	−0.301941	−	1.04302i
$199$	−2.73800	−	19.0432i	−0.194092	−	1.34994i	−0.821038	−	0.570874i	$-0.806604\pi$
$199$	−2.73800	−	19.0432i	−0.194092	−	1.34994i	0.626946	−	0.779063i	$-0.284305\pi$
$200$	−1.24953	+	1.40912i	−0.0883553	+	0.0996396i
$201$	−16.5602	+	7.56281i	−1.16807	+	0.533440i
$202$	−7.95573	−	6.94700i	−0.559763	−	0.488790i
$203$	4.11455	+	1.87905i	0.288785	+	0.131884i
$204$	12.1923	−	18.6571i	0.853635	−	1.30625i
$205$	0.374656	−	0.240777i	0.0261671	−	0.0168166i
$206$	21.8466	−	13.9225i	1.52213	−	0.970025i
$207$	−19.1091	+	32.4454i	−1.32817	+	2.25511i
$208$	−11.5064	+	9.66685i	−0.797825	+	0.670275i
$209$	−1.10026	+	0.707094i	−0.0761065	+	0.0489107i
$210$	−16.8714	−	37.3194i	−1.16424	−	2.57529i
$211$	−2.59199	+	5.67566i	−0.178440	+	0.390728i	−0.977625	−	0.210357i	$-0.932537\pi$
$211$	−2.59199	+	5.67566i	−0.178440	+	0.390728i	0.799185	+	0.601085i	$0.205265\pi$
$212$	−0.912976	+	6.02320i	−0.0627035	+	0.413675i
$213$	−24.3874	+	11.1373i	−1.67100	+	0.763118i
$214$	−2.18873	+	7.35024i	−0.149618	+	0.502452i
$215$	−13.5212	+	1.94406i	−0.922139	+	0.132584i
$216$	−6.94481	+	44.6662i	−0.472534	+	3.03915i
$217$	12.7634	+	11.0595i	0.866433	+	0.750769i
$218$	−21.3737	−	0.0815594i	−1.44761	−	0.00552390i
$219$	−34.3422	−	22.0704i	−2.32063	−	1.49138i
$220$	−5.97944	+	2.67576i	−0.403134	+	0.180400i
$221$	12.1948	+	3.58073i	0.820314	+	0.240866i
$222$	−6.29721	−	7.32365i	−0.422641	−	0.491531i
$223$	−0.0590440	+	0.0511619i	−0.00395388	+	0.00342606i	−0.656835	−	0.754034i	$-0.728105\pi$
$223$	−0.0590440	+	0.0511619i	−0.00395388	+	0.00342606i	0.652882	+	0.757460i	$0.273560\pi$
$224$	2.57829	+	20.7332i	0.172269	+	1.38529i
$225$	−5.01622	+	1.47290i	−0.334415	+	0.0981930i
$226$	0.744486	−	0.104143i	0.0495225	−	0.00692749i
$227$	12.1379	+	1.74517i	0.805623	+	0.115831i	0.532809	−	0.846236i	$-0.321136\pi$
$227$	12.1379	+	1.74517i	0.805623	+	0.115831i	0.272814	+	0.962067i	$0.412046\pi$
$228$	6.20484	−	0.843840i	0.410925	−	0.0558847i
$229$	−2.78116			−0.183784			−0.0918922	−	0.995769i	$-0.529292\pi$
$229$	−2.78116			−0.183784			−0.0918922	+	0.995769i	$0.529292\pi$
$230$	14.9115	+	6.18670i	0.983238	+	0.407939i
$231$		−	16.7418i		−	1.10153i
$232$	−2.64371	+	2.23832i	−0.173568	+	0.146953i
$233$	1.79862	−	12.5097i	0.117832	−	0.819538i	−0.842103	−	0.539316i	$-0.818683\pi$
$233$	1.79862	−	12.5097i	0.117832	−	0.819538i	0.959935	−	0.280222i	$-0.0904081\pi$
$234$	−41.3148	+	5.77934i	−2.70083	+	0.377807i
$235$	−4.58780	−	15.6246i	−0.299275	−	1.01924i
$236$	16.6926	+	0.127395i	1.08659	+	0.00829272i
$237$	0.499403	+	0.576341i	0.0324397	+	0.0374374i
$238$	13.3979	−	11.5201i	0.868456	−	0.746738i
$239$	−7.17702	+	24.4427i	−0.464243	+	1.58106i	0.311648	+	0.950198i	$0.399119\pi$
$239$	−7.17702	+	24.4427i	−0.464243	+	1.58106i	−0.775891	+	0.630867i	$0.782699\pi$
$240$	31.3608	+	0.478710i	2.02433	+	0.0309006i
$241$	6.60986	−	10.2851i	0.425779	−	0.662524i	−0.560398	−	0.828224i	$-0.689352\pi$
$241$	6.60986	−	10.2851i	0.425779	−	0.662524i	0.986176	+	0.165699i	$0.0529881\pi$
$242$	12.8784	+	0.0491424i	0.827857	+	0.00315900i
$243$	−31.3596	+	36.1910i	−2.01172	+	2.32165i
$244$	−6.31760	+	7.17946i	−0.404443	+	0.459618i
$245$	−2.24967	−	15.6468i	−0.143726	−	0.999636i
$246$	−0.835382	−	0.248757i	−0.0532620	−	0.0158601i
$247$	1.48341	+	3.24822i	0.0943874	+	0.206680i
$248$	−11.8253	+	5.23765i	−0.750904	+	0.332591i
$249$	43.1939	+	19.7260i	2.73730	+	1.25008i
$250$	−6.01016	−	13.2944i	−0.380116	−	0.840813i
$251$	−3.29160	−	5.12182i	−0.207764	−	0.323287i	0.721696	−	0.692210i	$-0.243363\pi$
$251$	−3.29160	−	5.12182i	−0.207764	−	0.323287i	−0.929460	+	0.368923i	$0.879726\pi$
$252$	−24.4948	+	52.5706i	−1.54303	+	3.31164i
$253$	4.51248	+	4.81541i	0.283697	+	0.302742i
$254$	−6.71777	−	10.5413i	−0.421510	−	0.661419i
$255$	−14.3409	−	22.3148i	−0.898061	−	1.39741i
$256$	−15.2072	−	4.97419i	−0.950447	−	0.310887i
$257$	−3.17392	+	6.94991i	−0.197983	+	0.433523i	−0.982420	−	0.186686i	$-0.940225\pi$
$257$	−3.17392	+	6.94991i	−0.197983	+	0.433523i	0.784436	+	0.620210i	$0.212952\pi$
$258$	20.1383	+	17.5849i	1.25375	+	1.09479i
$259$	−3.18101	−	6.96544i	−0.197658	−	0.432811i
$260$	4.90790	+	17.1993i	0.304375	+	1.06665i
$261$	−9.51793	+	1.36847i	−0.589145	+	0.0847063i
$262$	−9.43607	+	2.73161i	−0.582962	+	0.168760i
$263$	−0.654670	+	0.755529i	−0.0403687	+	0.0465879i	−0.775575	−	0.631256i	$-0.782540\pi$
$263$	−0.654670	+	0.755529i	−0.0403687	+	0.0465879i	0.735206	+	0.677844i	$0.237085\pi$
$264$	11.6007	+	5.45921i	0.713974	+	0.335991i
$265$	6.09944	+	3.91987i	0.374686	+	0.240796i
$266$	4.91121	+	0.725264i	0.301126	+	0.0444688i
$267$	−3.52401	+	12.0017i	−0.215666	+	0.734491i
$268$	3.19488	−	10.5813i	0.195158	−	0.646359i
$269$	6.14559	−	5.32518i	0.374703	−	0.324682i	−0.447068	−	0.894500i	$-0.647532\pi$
$269$	6.14559	−	5.32518i	0.374703	−	0.324682i	0.821771	+	0.569818i	$0.192986\pi$
$270$	45.1468	+	29.2581i	2.74754	+	1.78059i
$271$	−0.312361	−	1.06381i	−0.0189746	−	0.0646216i	0.949461	−	0.313884i	$-0.101630\pi$
$271$	−0.312361	−	1.06381i	−0.0189746	−	0.0646216i	−0.968436	+	0.249262i	$0.919812\pi$
$272$	3.61368	+	13.0401i	0.219112	+	0.790675i
$273$	−45.2450	−	6.50525i	−2.73835	−	0.393716i
$274$	−21.5200	−	9.92729i	−1.30007	−	0.599730i
$275$			0.916253i			0.0552522i
$276$	−9.84628	−	30.0231i	−0.592677	−	1.80718i
$277$		−	14.6107i		−	0.877872i	−0.898518	−	0.438936i	$-0.855356\pi$
$277$		−	14.6107i		−	0.877872i	0.898518	−	0.438936i	$-0.144644\pi$
$278$	2.94455	−	6.38309i	0.176602	−	0.382832i
$279$	−35.5364	−	5.10936i	−2.12751	−	0.305889i
$280$	23.7767	+	7.27815i	1.42093	+	0.434952i
$281$	3.39999	+	11.5793i	0.202826	+	0.690764i	0.996588	+	0.0825347i	$0.0263015\pi$
$281$	3.39999	+	11.5793i	0.202826	+	0.690764i	−0.793762	+	0.608229i	$0.791880\pi$
$282$	−17.3329	+	26.7456i	−1.03216	+	1.59267i
$283$	21.7510	−	18.8473i	1.29296	−	1.12036i	0.307303	−	0.951612i	$-0.400574\pi$
$283$	21.7510	−	18.8473i	1.29296	−	1.12036i	0.985659	−	0.168747i	$-0.0539719\pi$
$284$	4.70493	−	15.5826i	0.279186	−	0.924656i
$285$	2.09966	−	7.15080i	0.124373	−	0.423577i
$286$	−1.06811	+	7.23285i	−0.0631588	+	0.427687i
$287$	−0.581332	−	0.373599i	−0.0343149	−	0.0220529i
$288$	−28.4398	−	34.1153i	−1.67583	−	2.01026i
$289$	−3.63840	+	4.19894i	−0.214023	+	0.246996i
$290$	1.14639	+	3.96010i	0.0673185	+	0.232545i
$291$	53.5106	−	7.69367i	3.13685	−	0.451011i
$292$	23.8335	−	6.80100i	1.39475	−	0.397999i
$293$	−3.25182	−	7.12049i	−0.189973	−	0.415984i	0.790547	−	0.612401i	$-0.209796\pi$
$293$	−3.25182	−	7.12049i	−0.189973	−	0.415984i	−0.980520	+	0.196418i	$0.937069\pi$
$294$	−20.3493	+	23.3041i	−1.18680	+	1.35912i
$295$	8.25317	−	18.0719i	0.480518	−	1.05219i
$296$	5.86375	+	0.0671286i	0.340824	+	0.00390177i
$297$	11.8895	+	18.5004i	0.689899	+	1.07350i
$298$	−8.70925	+	5.55025i	−0.504513	+	0.321517i
$299$	14.7671	−	10.3240i	0.854005	−	0.597051i
$300$	1.85278	−	3.97643i	0.106970	−	0.229580i
$301$	11.4593	+	17.8310i	0.660503	+	1.02776i
$302$	−21.2024	+	9.58521i	−1.22006	+	0.551567i
$303$	22.3789	+	10.2201i	1.28564	+	0.587130i
$304$	−2.10401	+	3.16657i	−0.120673	+	0.181615i
$305$	4.72817	+	10.3532i	0.270734	+	0.592825i
$306$	−10.7201	+	36.0005i	−0.612827	+	2.05801i
$307$	0.515253	+	3.58366i	0.0294070	+	0.204530i	0.999228	−	0.0392881i	$-0.0125090\pi$
$307$	0.515253	+	3.58366i	0.0294070	+	0.204530i	−0.969821	+	0.243818i	$0.921600\pi$
$308$	7.63081	+	6.71478i	0.434806	+	0.382610i
$309$	−39.5163	+	45.6042i	−2.24800	+	2.59433i
$310$	−0.0587357	+	15.3925i	−0.00333596	+	0.874233i
$311$	8.84496	−	13.7630i	0.501551	−	0.780429i	−0.494503	−	0.869176i	$-0.664650\pi$
$311$	8.84496	−	13.7630i	0.501551	−	0.780429i	0.996054	+	0.0887468i	$0.0282862\pi$
$312$	19.2612	−	29.2299i	1.09045	−	1.65482i
$313$	9.32684	−	31.7643i	0.527184	−	1.79542i	−0.0751400	−	0.997173i	$-0.523940\pi$
$313$	9.32684	−	31.7643i	0.527184	−	1.79542i	0.602324	−	0.798252i	$-0.294241\pi$
$314$	14.4787	+	16.8387i	0.817082	+	0.950265i
$315$	45.2021	+	52.1660i	2.54685	+	2.93922i
$316$	−0.462993	−	0.00353349i	−0.0260454	−	0.000198774i
$317$	−7.39555	−	25.1869i	−0.415376	−	1.41464i	−0.856013	−	0.516954i	$-0.827066\pi$
$317$	−7.39555	−	25.1869i	−0.415376	−	1.41464i	0.440637	−	0.897685i	$-0.354752\pi$
$318$	−1.96587	−	14.0534i	−0.110241	−	0.788077i
$319$	−0.239837	+	1.66810i	−0.0134283	+	0.0933959i
$320$	−12.7963	+	14.1021i	−0.715338	+	0.788330i
$321$		−	17.8640i		−	0.997074i
$322$	−0.879568	−	25.0343i	−0.0490164	−	1.39510i
$323$	3.21532			0.178905
$324$	−7.84058	−	57.6525i	−0.435588	−	3.20292i
$325$	2.47619	+	0.356023i	0.137354	+	0.0197486i
$326$	0.673598	+	4.81535i	0.0373071	+	0.266697i
$327$	47.7700	−	14.0265i	2.64169	−	0.775669i
$328$	0.448436	−	0.280991i	0.0247607	−	0.0155151i
$329$	−19.0957	+	16.5465i	−1.05278	+	0.912240i
$330$	11.5700	−	9.94845i	0.636909	−	0.547644i
$331$	25.1713	+	7.39095i	1.38354	+	0.406243i	0.886999	−	0.461772i	$-0.152786\pi$
$331$	25.1713	+	7.39095i	1.38354	+	0.406243i	0.496538	+	0.868015i	$0.334604\pi$
$332$	−26.3152	+	11.7759i	−1.44423	+	0.646284i
$333$	13.6943	+	8.80077i	0.750441	+	0.482279i
$334$	−0.0819034	+	21.4639i	−0.00448155	+	1.17445i
$335$	−9.94184	−	8.61466i	−0.543181	−	0.470669i
$336$	−19.5387	−	44.5718i	−1.06592	−	2.43159i
$337$	−2.91600	+	0.419257i	−0.158844	+	0.0228384i	−0.221278	−	0.975211i	$-0.571023\pi$
$337$	−2.91600	+	0.419257i	−0.158844	+	0.0228384i	0.0624337	+	0.998049i	$0.480114\pi$
$338$	1.51171	+	0.450151i	0.0822262	+	0.0244850i
$339$	−1.59280	+	0.727406i	−0.0865089	+	0.0395073i
$340$	15.9228	+	2.41352i	0.863535	+	0.130892i
$341$	−2.61384	+	5.72351i	−0.141547	+	0.309946i
$342$	−9.61660	+	4.34748i	−0.520006	+	0.235085i
$343$	1.11534	−	0.716789i	0.0602230	−	0.0387029i
$344$	−16.0921	+	2.12598i	−0.867629	+	0.114625i
$345$	−37.4020	−	3.89874i	−2.01366	−	0.209901i
$346$	4.94916	+	7.76604i	0.266068	+	0.417505i
$347$	−30.4667	+	19.5797i	−1.63554	+	1.05110i	−0.690914	+	0.722937i	$0.742792\pi$
$347$	−30.4667	+	19.5797i	−1.63554	+	1.05110i	−0.944623	+	0.328158i	$0.893572\pi$
$348$	4.41399	−	6.75440i	0.236615	−	0.362074i
$349$	30.7048	+	14.0224i	1.64359	+	0.750603i	0.999892	−	0.0146748i	$-0.00467130\pi$
$349$	30.7048	+	14.0224i	1.64359	+	0.750603i	0.643700	+	0.765278i	$0.277399\pi$
$350$	2.28757	−	2.61973i	0.122276	−	0.140031i
$351$	54.6176	−	24.9430i	2.91527	−	1.33136i
$352$	−7.14107	+	3.09796i	−0.380620	+	0.165122i
$353$	0.818594	+	5.69345i	0.0435694	+	0.303032i	0.999941	+	0.0108782i	$0.00346272\pi$
$353$	0.818594	+	5.69345i	0.0435694	+	0.303032i	−0.956371	+	0.292153i	$0.905628\pi$
$354$	−37.3500	+	10.8123i	−1.98513	+	0.574668i
$355$	−14.6408	−	12.6863i	−0.777054	−	0.673321i
$356$	−4.05689	−	6.41984i	−0.215015	−	0.340251i
$357$	−22.2519	+	34.6246i	−1.17769	+	1.83253i
$358$	0.712906	−	4.82753i	0.0376782	−	0.255143i
$359$	−28.6061	−	8.39950i	−1.50977	−	0.443309i	−0.580981	−	0.813917i	$-0.697331\pi$
$359$	−28.6061	−	8.39950i	−1.50977	−	0.443309i	−0.928789	+	0.370608i	$0.879149\pi$
$360$	−50.8864	+	14.3109i	−2.68195	+	0.754252i
$361$	−11.8508	−	13.6765i	−0.623725	−	0.719817i
$362$	−7.79498	−	5.05166i	−0.409695	−	0.265509i
$363$	−28.7831	+	8.45149i	−1.51072	+	0.443588i
$364$	21.1119	−	18.0133i	1.10656	−	0.944153i
$365$	4.19797	−	29.1975i	0.219732	−	1.52827i
$366$	9.33105	−	20.2275i	0.487742	−	1.05731i
$367$	−1.27268			−0.0664332			−0.0332166	−	0.999448i	$-0.510575\pi$
$367$	−1.27268			−0.0664332			−0.0332166	+	0.999448i	$0.510575\pi$
$368$	17.6335	+	7.55377i	0.919210	+	0.393767i
$369$	1.46901			0.0764739
$370$	2.92348	−	6.33742i	0.151984	−	0.329467i
$371$	1.60105	−	11.1355i	0.0831222	−	0.578128i
$372$	22.9175	−	19.5539i	1.18821	−	1.01382i
$373$	−29.5543	+	8.67794i	−1.53027	+	0.449327i	−0.935132	−	0.354300i	$-0.884719\pi$
$373$	−29.5543	+	8.67794i	−1.53027	+	0.449327i	−0.595134	+	0.803626i	$0.702901\pi$
$374$	5.52453	+	3.58026i	0.285666	+	0.185131i
$375$	22.2551	+	25.6838i	1.14925	+	1.32630i
$376$	−5.23861	−	18.6273i	−0.270161	−	0.960630i
$377$	4.41489	+	1.29633i	0.227379	+	0.0667644i
$378$	12.1950	−	82.5801i	0.627244	−	4.24746i
$379$	−11.7404	+	18.2685i	−0.603066	+	0.938389i	0.396725	+	0.917937i	$0.370147\pi$
$379$	−11.7404	+	18.2685i	−0.603066	+	0.938389i	−0.999791	+	0.0204511i	$0.993490\pi$
$380$	2.41716	+	3.82505i	0.123998	+	0.196221i
$381$	22.0046	+	19.0671i	1.12733	+	0.976837i
$382$	17.3948	−	5.03557i	0.889998	−	0.257642i
$383$	2.23504	+	15.5451i	0.114205	+	0.794316i	0.963751	+	0.266802i	$0.0859668\pi$
$383$	2.23504	+	15.5451i	0.114205	+	0.794316i	−0.849546	+	0.527514i	$0.823124\pi$
$384$	37.2559	+	0.995378i	1.90121	+	0.0507952i
$385$	11.0041	−	5.02542i	0.560822	−	0.256119i
$386$	9.51527	−	10.8969i	0.484314	−	0.554638i
$387$	−40.9868	−	18.7181i	−2.08348	−	0.951492i
$388$	−17.9552	+	27.4756i	−0.911540	+	1.39486i
$389$	18.0097	−	11.5741i	0.913127	−	0.586831i	0.00247116	−	0.999997i	$-0.499213\pi$
$389$	18.0097	−	11.5741i	0.913127	−	0.586831i	0.910656	+	0.413166i	$0.135577\pi$
$390$	−22.3902	−	35.1338i	−1.13377	−	1.77907i
$391$	−2.93224	−	15.9566i	−0.148290	−	0.806962i
$392$	−2.46019	−	18.6219i	−0.124258	−	0.940546i
$393$	19.2497	−	12.3710i	0.971016	−	0.624034i
$394$	11.3267	−	5.12058i	0.570630	−	0.257971i
$395$	−0.228914	+	0.501251i	−0.0115179	+	0.0252207i
$396$	−21.3641	−	3.23829i	−1.07358	−	0.162730i
$397$	11.4444	−	5.22648i	0.574378	−	0.262310i	−0.106978	−	0.994261i	$-0.534118\pi$
$397$	11.4444	−	5.22648i	0.574378	−	0.262310i	0.681357	+	0.731952i	$0.261390\pi$
$398$	−26.0765	−	7.76497i	−1.30710	−	0.389223i
$399$	−11.4462	+	1.64571i	−0.573025	+	0.0823886i
$400$	1.06932	+	2.43935i	0.0534662	+	0.121968i
$401$	25.1059	+	21.7544i	1.25373	+	1.08636i	0.992647	+	0.121046i	$0.0386247\pi$
$401$	25.1059	+	21.7544i	1.25373	+	1.08636i	0.261082	+	0.965317i	$0.415921\pi$
$402$	−0.0982441	+	25.7462i	−0.00489997	+	1.28410i
$403$	14.4523	+	9.28791i	0.719919	+	0.462664i
$404$	−13.6340	+	6.10111i	−0.678316	+	0.303542i
$405$	−66.4419	−	19.5091i	−3.30153	−	0.969415i
$406$	4.85043	−	4.17062i	0.240723	−	0.206984i
$407$	2.15611	−	1.86828i	0.106874	−	0.0926071i
$408$	−16.7361	−	26.7092i	−0.828559	−	1.32230i
$409$	−14.2687	+	4.18966i	−0.705540	+	0.207165i	−0.614770	−	0.788707i	$-0.710751\pi$
$409$	−14.2687	+	4.18966i	−0.705540	+	0.207165i	−0.0907702	+	0.995872i	$0.528933\pi$
$410$	−0.0872542	−	0.623754i	−0.00430918	−	0.0308050i
$411$	54.6418	+	7.85630i	2.69528	+	0.387523i
$412$	−4.93699	−	36.3022i	−0.243228	−	1.78848i
$413$	−30.8269			−1.51689
$414$	30.3452	+	43.7595i	1.49138	+	2.15066i
$415$			34.3119i			1.68430i
$416$	5.59753	+	20.5026i	0.274442	+	1.00522i
$417$	−2.33027	+	16.2074i	−0.114114	+	0.793678i
$418$	0.256241	+	1.83179i	0.0125332	+	0.0895957i
$419$	10.7637	+	36.6579i	0.525843	+	1.79086i	0.607646	+	0.794208i	$0.292114\pi$
$419$	10.7637	+	36.6579i	0.525843	+	1.79086i	−0.0818025	+	0.996649i	$0.526068\pi$
$420$	−57.9187	−	0.442027i	−2.82614	−	0.0215687i
$421$	19.3186	+	22.2948i	0.941529	+	1.08658i	0.996114	+	0.0880729i	$0.0280708\pi$
$421$	19.3186	+	22.2948i	0.941529	+	1.08658i	−0.0545854	+	0.998509i	$0.517384\pi$
$422$	5.75300	+	6.69074i	0.280052	+	0.325700i
$423$	15.1330	−	51.5382i	0.735790	−	2.50587i
$424$	7.19394	+	4.74050i	0.349368	+	0.230219i
$425$	1.21781	−	1.89495i	0.0590725	−	0.0919187i
$426$	−0.144679	+	37.9150i	−0.00700971	+	1.83699i
$427$	11.5651	−	13.3469i	0.559676	−	0.645900i
$428$	8.14233	+	7.16489i	0.393574	+	0.346328i
$429$	−2.42367	−	16.8570i	−0.117016	−	0.813864i
$430$	−5.51334	+	18.5151i	−0.265877	+	0.892876i
$431$	8.98988	+	19.6851i	0.433027	+	0.948197i	0.992826	+	0.119569i	$0.0381511\pi$
$431$	8.98988	+	19.6851i	0.433027	+	0.948197i	−0.559799	+	0.828629i	$0.689122\pi$
$432$	53.2447	+	35.3781i	2.56174	+	1.70213i
$433$	−4.80212	−	2.19306i	−0.230775	−	0.105392i	0.296672	−	0.954980i	$-0.404123\pi$
$433$	−4.80212	−	2.19306i	−0.230775	−	0.105392i	−0.527447	+	0.849588i	$0.676851\pi$
$434$	21.7631	−	9.83869i	1.04466	−	0.472272i
$435$	−5.19182	−	8.07863i	−0.248929	−	0.387341i
$436$	−12.7663	+	27.3990i	−0.611396	+	1.31218i
$437$	2.84866	−	3.55848i	0.136270	−	0.170225i
$438$	−48.6859	+	31.0267i	−2.32630	+	1.48251i
$439$	1.24247	+	1.93332i	0.0592999	+	0.0922725i	0.869637	−	0.493691i	$-0.164353\pi$
$439$	1.24247	+	1.93332i	0.0592999	+	0.0922725i	−0.810338	+	0.585963i	$0.800716\pi$
$440$	−0.106051	+	9.26366i	−0.00505578	+	0.441628i
$441$	21.6606	−	47.4301i	1.03146	−	2.25858i
$442$	11.8223	−	13.5390i	0.562332	−	0.643984i
$443$	−14.5887	−	31.9447i	−0.693129	−	1.51774i	−0.848108	−	0.529823i	$-0.822258\pi$
$443$	−14.5887	−	31.9447i	−0.693129	−	1.51774i	0.154980	−	0.987918i	$-0.450469\pi$
$444$	−13.1352	+	3.74819i	−0.623367	+	0.177881i
$445$	−8.94633	+	1.28629i	−0.424097	+	0.0609759i
$446$	0.0307232	+	0.106130i	0.00145478	+	0.00502540i
$447$	15.7533	−	18.1803i	0.745106	−	0.859899i
$448$	28.1521	+	8.97120i	1.33006	+	0.423849i
$449$	8.29149	+	5.32862i	0.391300	+	0.251473i	0.721466	−	0.692450i	$-0.243469\pi$
$449$	8.29149	+	5.32862i	0.391300	+	0.251473i	−0.330167	+	0.943923i	$0.607105\pi$
$450$	−1.08012	+	7.31417i	−0.0509174	+	0.344793i
$451$	0.0725344	−	0.247029i	0.00341551	−	0.0116322i
$452$	0.307290	−	1.01773i	0.0144537	−	0.0478702i
$453$	40.9614	−	35.4932i	1.92453	−	1.66762i
$454$	9.43148	−	14.5533i	0.442641	−	0.683019i
$455$	−9.30548	−	31.6916i	−0.436248	−	1.48572i
$456$	2.59205	−	8.46790i	0.121384	−	0.396546i
$457$	−23.5527	−	3.38636i	−1.10175	−	0.158407i	−0.432635	−	0.901569i	$-0.642416\pi$
$457$	−23.5527	−	3.38636i	−1.10175	−	0.158407i	−0.669112	+	0.743162i	$0.733325\pi$
$458$	−1.64753	+	3.57147i	−0.0769842	+	0.166884i
$459$		−	54.0643i		−	2.52350i
$460$	16.7782	−	15.4839i	0.782287	−	0.721941i
$461$			38.6536i			1.80028i	0.435604	+	0.900138i	$0.356535\pi$
$461$			38.6536i			1.80028i	−0.435604	+	0.900138i	$0.643465\pi$
$462$	−21.4992	−	9.91767i	−1.00023	−	0.461412i
$463$	−10.4717	−	1.50560i	−0.486661	−	0.0699714i	−0.105383	−	0.994432i	$-0.533607\pi$
$463$	−10.4717	−	1.50560i	−0.486661	−	0.0699714i	−0.381278	+	0.924460i	$0.624516\pi$
$464$	1.30826	+	4.72092i	0.0607344	+	0.219163i
$465$	−10.1013	−	34.4020i	−0.468438	−	1.59535i
$466$	−14.9990	−	9.72035i	−0.694816	−	0.450287i
$467$	−5.15238	+	4.46456i	−0.238424	+	0.206595i	−0.765874	−	0.642991i	$-0.777693\pi$
$467$	−5.15238	+	4.46456i	−0.238424	+	0.206595i	0.527451	+	0.849586i	$0.323148\pi$
$468$	−17.0528	+	56.4785i	−0.788267	+	2.61072i
$469$	−5.75065	+	19.5849i	−0.265540	+	0.904347i
$470$	−22.7823	−	3.36438i	−1.05087	−	0.155187i
$471$	−43.5169	−	27.9666i	−2.00515	−	1.28863i
$472$	10.0521	−	21.3605i	0.462686	−	0.983197i
$473$	−5.17140	+	5.96811i	−0.237781	+	0.274414i
$474$	1.03596	−	0.299895i	0.0475831	−	0.0137746i
$475$	0.626432	−	0.0900673i	0.0287427	−	0.00413257i
$476$	−6.85693	−	24.0295i	−0.314287	−	1.10139i
$477$	9.93494	+	21.7545i	0.454890	+	0.996069i
$478$	27.1368	+	23.6961i	1.24121	+	1.08383i
$479$	−14.3850	+	31.4987i	−0.657267	+	1.43921i	0.227781	+	0.973712i	$0.426853\pi$
$479$	−14.3850	+	31.4987i	−0.657267	+	1.43921i	−0.885047	+	0.465501i	$0.845874\pi$
$480$	19.1926	−	39.9888i	0.876017	−	1.82523i
$481$	−4.21127	−	6.55287i	−0.192018	−	0.298785i
$482$	−9.29218	−	14.5810i	−0.423247	−	0.664144i
$483$	18.6056	+	55.3030i	0.846585	+	2.51637i
$484$	7.69216	−	16.5089i	0.349644	−	0.750404i
$485$	21.1193	+	32.8623i	0.958979	+	1.49220i
$486$	27.8979	+	61.7100i	1.26548	+	2.79922i
$487$	−30.3601	−	13.8650i	−1.37575	−	0.628282i	−0.416055	−	0.909340i	$-0.636588\pi$
$487$	−30.3601	−	13.8650i	−1.37575	−	0.628282i	−0.959691	+	0.281057i	$0.909315\pi$
$488$	5.47710	+	12.3659i	0.247937	+	0.559777i
$489$	−4.70487	−	10.3022i	−0.212762	−	0.465883i
$490$	−21.4257	−	6.38006i	−0.967915	−	0.288222i
$491$	−1.55302	−	10.8015i	−0.0700867	−	0.487464i	−0.994388	−	0.105799i	$-0.966260\pi$
$491$	−1.55302	−	10.8015i	−0.0700867	−	0.487464i	0.924301	−	0.381665i	$-0.124649\pi$
$492$	−0.814316	+	0.925406i	−0.0367122	+	0.0417205i
$493$	2.71313	−	3.13112i	0.122193	−	0.141019i
$494$	5.05001	+	0.0192702i	0.227211	+	0.000867007i
$495$	−13.9036	+	21.6345i	−0.624921	+	0.972396i
$496$	−0.279163	+	18.2883i	−0.0125348	+	0.821168i
$497$	−8.46867	+	28.8416i	−0.379872	+	1.29372i
$498$	50.9190	−	43.7825i	2.28174	−	1.96194i
$499$	−3.23953	−	3.73862i	−0.145021	−	0.167363i	0.678592	−	0.734516i	$-0.262591\pi$
$499$	−3.23953	−	3.73862i	−0.145021	−	0.167363i	−0.823613	+	0.567152i	$0.808045\pi$
$500$	−20.6326	−	0.157465i	−0.922716	−	0.00704204i
$501$	−14.0857	−	47.9715i	−0.629303	−	2.14321i
$502$	−8.52716	+	1.19283i	−0.380586	+	0.0532385i
$503$	1.54502	−	10.7458i	0.0688890	−	0.479134i	−0.925948	−	0.377650i	$-0.876732\pi$
$503$	1.54502	−	10.7458i	0.0688890	−	0.479134i	0.994837	−	0.101483i	$-0.0323588\pi$
$504$	52.9988	+	62.5976i	2.36075	+	2.78832i
$505$			17.7771i			0.791071i
$506$	8.85692	−	2.94216i	0.393738	−	0.130795i
$507$	−3.67407			−0.163171
$508$	−17.5163	+	2.38216i	−0.777158	+	0.105691i
$509$	14.7759	+	2.12446i	0.654932	+	0.0941650i	0.461767	−	0.887001i	$-0.347216\pi$
$509$	14.7759	+	2.12446i	0.654932	+	0.0941650i	0.193165	+	0.981166i	$0.438125\pi$
$510$	−37.1513	+	5.19693i	−1.64509	+	0.230124i
$511$	−43.9158	+	12.8949i	−1.94272	+	0.570435i
$512$	−15.3962	+	16.5818i	−0.680424	+	0.732819i
$513$	11.4798	−	9.94730i	0.506845	−	0.439184i
$514$	7.04461	+	8.19288i	0.310725	+	0.361372i
$515$	−41.8366	−	12.2843i	−1.84354	−	0.541313i
$516$	34.5116	−	15.4437i	1.51929	−	0.679871i
$517$	−7.91944	−	5.08952i	−0.348297	−	0.223837i
$518$	−10.8292	−	0.0413227i	−0.475806	−	0.00181561i
$519$	−16.2114	−	14.0472i	−0.711600	−	0.616605i
$520$	24.9940	+	3.88613i	1.09606	+	0.170418i
$521$	−27.2825	+	3.92263i	−1.19527	+	0.171853i	−0.711080	−	0.703111i	$-0.751794\pi$
$521$	−27.2825	+	3.92263i	−1.19527	+	0.171853i	−0.484187	+	0.874964i	$0.660885\pi$
$522$	−3.88099	+	13.0332i	−0.169866	+	0.570450i
$523$	8.14202	−	3.71834i	0.356026	−	0.162592i	−0.229370	−	0.973339i	$-0.573667\pi$
$523$	8.14202	−	3.71834i	0.356026	−	0.162592i	0.585396	+	0.810748i	$0.300939\pi$
$524$	−2.08200	+	13.7356i	−0.0909525	+	0.600044i
$525$	−3.36537	+	7.36913i	−0.146877	+	0.321615i
$526$	0.582403	+	1.28827i	0.0253940	+	0.0561713i
$527$	13.0131	−	8.36299i	0.566858	−	0.364298i
$528$	13.8826	−	11.6632i	0.604165	−	0.507576i
$529$	−20.2575	−	10.8918i	−0.880762	−	0.473559i
$530$	8.64700	−	5.51058i	0.375602	−	0.239364i
$531$	55.1297	−	35.4297i	2.39242	−	1.53752i
$532$	3.84071	−	5.87716i	0.166516	−	0.254807i
$533$	−0.639418	−	0.292012i	−0.0276963	−	0.0126485i
$534$	13.3245	+	11.6351i	0.576608	+	0.503499i
$535$	11.7418	−	5.36229i	0.507641	−	0.231832i
$536$	−11.6956	−	10.3710i	−0.505171	−	0.447960i
$537$	1.61767	+	11.2511i	0.0698075	+	0.485522i
$538$	−3.19782	−	11.0465i	−0.137868	−	0.476249i
$539$	−6.90632	−	5.98436i	−0.297476	−	0.257765i
$540$	64.3166	−	40.6436i	2.76775	−	1.74902i
$541$	16.0072	−	24.9076i	0.688202	−	1.07086i	−0.304760	−	0.952429i	$-0.598576\pi$
$541$	16.0072	−	24.9076i	0.688202	−	1.07086i	0.992962	−	0.118433i	$-0.0377872\pi$
$542$	−1.55114	−	0.229065i	−0.0666271	−	0.00983917i
$543$	20.7601	+	6.09571i	0.890900	+	0.261592i
$544$	18.8864	+	3.08430i	0.809747	+	0.132238i
$545$	23.5586	+	27.1881i	1.00914	+	1.16461i
$546$	−35.1565	+	54.2483i	−1.50456	+	2.32161i
$547$	−20.1576	+	5.91882i	−0.861878	+	0.253070i	−0.682657	−	0.730739i	$-0.739176\pi$
$547$	−20.1576	+	5.91882i	−0.861878	+	0.253070i	−0.179221	+	0.983809i	$0.557358\pi$
$548$	−25.4965	+	21.7544i	−1.08916	+	0.929303i
$549$	−5.34295	+	37.1610i	−0.228031	+	1.58599i
$550$	1.17662	+	0.542779i	0.0501712	+	0.0231442i
$551$	1.16404			0.0495898
$552$	−44.3874	−	5.14118i	−1.88925	−	0.218823i
$553$	0.855028			0.0363595
$554$	−18.7625	−	8.65523i	−0.797143	−	0.367725i
$555$	−2.31359	+	16.0914i	−0.0982066	+	0.683042i
$556$	−6.45260	−	7.56255i	−0.273651	−	0.320724i
$557$	16.6639	−	4.89297i	0.706073	−	0.207322i	0.0910679	−	0.995845i	$-0.470972\pi$
$557$	16.6639	−	4.89297i	0.706073	−	0.207322i	0.615005	+	0.788523i	$0.289154\pi$
$558$	−27.6127	+	42.6078i	−1.16894	+	1.80373i
$559$	14.1195	+	16.2948i	0.597192	+	0.689197i
$560$	23.4314	−	26.2217i	0.990159	−	1.10807i
$561$	−14.7133	−	4.32021i	−0.621195	−	0.182399i
$562$	16.8838	+	2.49332i	0.712202	+	0.105175i
$563$	14.2965	−	22.2458i	0.602527	−	0.937550i	−0.397276	−	0.917699i	$-0.630044\pi$
$563$	14.2965	−	22.2458i	0.602527	−	0.937550i	0.999803	−	0.0198509i	$-0.00631915\pi$
$564$	24.0778	+	38.1021i	1.01386	+	1.60439i
$565$	−0.956226	−	0.828575i	−0.0402287	−	0.0348584i
$566$	−11.3180	−	39.0968i	−0.475730	−	1.64336i
$567$	15.2912	+	106.353i	0.642169	+	4.46639i
$568$	−17.2234	−	15.2729i	−0.722679	−	0.640835i
$569$	−21.3874	+	9.76731i	−0.896607	+	0.409467i	−0.809764	−	0.586755i	$-0.800405\pi$
$569$	−21.3874	+	9.76731i	−0.896607	+	0.409467i	−0.0868430	+	0.996222i	$0.527678\pi$
$570$	−7.93897	−	6.93237i	−0.332527	−	0.290365i
$571$	−17.4396	−	7.96438i	−0.729822	−	0.333299i	0.0156116	−	0.999878i	$-0.495030\pi$
$571$	−17.4396	−	7.96438i	−0.729822	−	0.333299i	−0.745434	+	0.666579i	$0.767758\pi$
$572$	8.65541	+	5.65630i	0.361901	+	0.236502i
$573$	−35.4856	+	22.8052i	−1.48243	+	0.952702i
$574$	−0.824137	+	0.525208i	−0.0343988	+	0.0219218i
$575$	−1.01826	−	3.02665i	−0.0424643	−	0.126220i
$576$	−60.6570	+	16.3118i	−2.52738	+	0.679660i
$577$	−18.0204	+	11.5810i	−0.750199	+	0.482124i	−0.859023	−	0.511937i	$-0.828928\pi$
$577$	−18.0204	+	11.5810i	−0.750199	+	0.482124i	0.108824	+	0.994061i	$0.465292\pi$
$578$	3.23677	+	7.15970i	0.134632	+	0.297804i
$579$	−13.9984	+	30.6523i	−0.581754	+	1.27386i
$580$	5.76452	+	0.873766i	0.239359	+	0.0362811i
$581$	48.4285	−	22.1166i	2.00915	−	0.917550i
$582$	21.8192	−	73.2740i	0.904437	−	3.03730i
$583$	4.14878	−	0.596505i	0.171825	−	0.0247047i
$584$	5.38511	−	34.6349i	0.222837	−	1.43320i
$585$	53.0651	+	45.9812i	2.19397	+	1.90109i
$586$	−11.0702	−	0.0422425i	−0.457307	−	0.00174502i
$587$	23.5834	+	15.1561i	0.973389	+	0.625559i	0.927672	−	0.373395i	$-0.121806\pi$
$587$	23.5834	+	15.1561i	0.973389	+	0.625559i	0.0457170	+	0.998954i	$0.485443\pi$
$588$	17.8715	+	39.9369i	0.737008	+	1.64697i
$589$	4.17004	+	1.22443i	0.171824	+	0.0504519i
$590$	−18.3182	−	21.3040i	−0.754148	−	0.877074i
$591$	−21.8823	+	18.9611i	−0.900116	+	0.779955i
$592$	3.55983	−	7.49025i	0.146308	−	0.307847i
$593$	26.7450	−	7.85305i	1.09829	−	0.322486i	0.318115	−	0.948052i	$-0.396950\pi$
$593$	26.7450	−	7.85305i	1.09829	−	0.322486i	0.780171	+	0.625566i	$0.215132\pi$
$594$	30.8008	−	4.30859i	1.26377	−	0.176783i
$595$	−29.4376	−	4.23249i	−1.20682	−	0.173515i
$596$	1.96815	+	14.4720i	0.0806186	+	0.592796i
$597$	63.3765			2.59383
$598$	−4.50978	−	25.0792i	−0.184418	−	1.02557i
$599$			2.95141i			0.120591i	0.998181	+	0.0602956i	$0.0192043\pi$
$599$			2.95141i			0.120591i	−0.998181	+	0.0602956i	$0.980796\pi$
$600$	−4.00882	−	4.73487i	−0.163659	−	0.193300i
$601$	0.321367	−	2.23516i	0.0131088	−	0.0911739i	−0.982217	−	0.187751i	$-0.939880\pi$
$601$	0.321367	−	2.23516i	0.0131088	−	0.0911739i	0.995326	+	0.0965769i	$0.0307894\pi$
$602$	29.6863	−	4.15269i	1.20992	−	0.169251i
$603$	−12.2249	−	41.6343i	−0.497837	−	1.69548i
$604$	−0.251130	+	32.9055i	−0.0102183	+	1.33891i
$605$	−14.1949	−	16.3818i	−0.577106	−	0.666015i
$606$	26.3813	−	22.6839i	1.07167	−	0.921470i
$607$	4.16149	−	14.1727i	0.168910	−	0.575254i	−0.830912	−	0.556403i	$-0.812181\pi$
$607$	4.16149	−	14.1727i	0.168910	−	0.575254i	0.999822	−	0.0188510i	$-0.00600081\pi$
$608$	2.82000	+	4.57774i	0.114366	+	0.185652i
$609$	−8.05583	+	12.5351i	−0.326439	+	0.507949i
$610$	16.0962	+	0.0614209i	0.651715	+	0.00248686i
$611$	−16.8317	+	19.4249i	−0.680939	+	0.785845i
$612$	39.8800	+	35.0927i	1.61206	+	1.41854i
$613$	−4.08915	−	28.4407i	−0.165159	−	1.14871i	−0.888721	−	0.458449i	$-0.848405\pi$
$613$	−4.08915	−	28.4407i	−0.165159	−	1.14871i	0.723561	−	0.690260i	$-0.242504\pi$
$614$	4.90723	+	1.46126i	0.198040	+	0.0589715i
$615$	0.609443	+	1.33450i	0.0245751	+	0.0538120i
$616$	13.1433	−	5.82144i	0.529558	−	0.234552i
$617$	4.09088	+	1.86824i	0.164693	+	0.0752126i	0.496056	−	0.868291i	$-0.334781\pi$
$617$	4.09088	+	1.86824i	0.164693	+	0.0752126i	−0.331363	+	0.943503i	$0.607508\pi$
$618$	35.1542	+	77.7608i	1.41411	+	3.12800i
$619$	−18.6747	−	29.0584i	−0.750599	−	1.16795i	−0.980839	−	0.194820i	$-0.937588\pi$
$619$	−18.6747	−	29.0584i	−0.750599	−	1.16795i	0.230240	−	0.973134i	$-0.426049\pi$
$620$	19.7316	+	9.19377i	0.792442	+	0.369231i
$621$	−59.8345	−	47.8991i	−2.40108	−	1.92213i
$622$	−12.4343	−	19.5114i	−0.498570	−	0.782337i
$623$	7.58207	+	11.7979i	0.303769	+	0.472674i
$624$	−26.1257	−	42.0500i	−1.04587	−	1.68335i
$625$	−11.5842	+	25.3659i	−0.463369	+	1.01464i
$626$	−35.2654	−	30.7940i	−1.40949	−	1.23078i
$627$	−1.78976	−	3.91903i	−0.0714762	−	0.156511i
$628$	30.2007	−	8.61794i	1.20514	−	0.343893i
$629$	−6.94233	+	0.998156i	−0.276809	+	0.0397991i
$630$	93.7668	−	27.1442i	3.73576	−	1.08145i
$631$	−20.7758	+	23.9766i	−0.827072	+	0.954492i	−0.999534	−	0.0305239i	$-0.990282\pi$
$631$	−20.7758	+	23.9766i	−0.827072	+	0.954492i	0.172462	+	0.985016i	$0.444828\pi$
$632$	−0.278810	+	0.592465i	−0.0110905	+	0.0235670i
$633$	−17.2911	−	11.1123i	−0.687259	−	0.441675i
$634$	−36.7252	−	5.42340i	−1.45854	−	0.215391i
$635$	−5.92735	+	20.1867i	−0.235220	+	0.801085i
$636$	−19.2114	−	5.80061i	−0.761783	−	0.230009i
$637$	−18.8564	+	16.3392i	−0.747118	+	0.647381i
$638$	2.00004	+	1.29616i	0.0791824	+	0.0513154i
$639$	−18.0030	−	61.3125i	−0.712187	−	2.42549i
$640$	10.5289	+	24.7865i	0.416192	+	0.979773i
$641$	4.38165	+	0.629986i	0.173065	+	0.0248830i	0.228302	−	0.973590i	$-0.426683\pi$
$641$	4.38165	+	0.629986i	0.173065	+	0.0248830i	−0.0552376	+	0.998473i	$0.517592\pi$
$642$	−22.9403	−	10.5825i	−0.905383	−	0.417657i
$643$			2.56242i			0.101052i	0.998723	+	0.0505261i	$0.0160898\pi$
$643$			2.56242i			0.101052i	−0.998723	+	0.0505261i	$0.983910\pi$
$644$	−32.6691	−	13.7005i	−1.28734	−	0.539877i
$645$		−	44.9991i		−	1.77184i
$646$	1.90472	−	4.12899i	0.0749403	−	0.162453i
$647$	48.2833	+	6.94208i	1.89821	+	0.272921i	0.989503	−	0.144512i	$-0.0461611\pi$
$647$	48.2833	+	6.94208i	1.89821	+	0.272921i	0.908708	+	0.417433i	$0.137070\pi$
$648$	−78.6798	−	24.0842i	−3.09084	−	0.946116i
$649$	−3.23576	−	11.0200i	−0.127015	−	0.432572i
$650$	1.92406	−	2.96893i	0.0754680	−	0.116451i
$651$	−42.0446	+	36.4318i	−1.64786	+	1.42788i
$652$	6.58272	+	1.98755i	0.257799	+	0.0778386i
$653$	−6.16775	+	21.0054i	−0.241363	+	0.822006i	0.746327	+	0.665580i	$0.231816\pi$
$653$	−6.16775	+	21.0054i	−0.241363	+	0.822006i	−0.987690	+	0.156427i	$0.950003\pi$
$654$	10.2861	−	69.6536i	0.402219	−	2.72367i
$655$	13.9095	+	8.93908i	0.543488	+	0.349279i
$656$	−0.0951895	−	0.742321i	−0.00371653	−	0.0289828i
$657$	63.7173	−	73.5337i	2.48585	−	2.86882i
$658$	9.93633	+	34.3240i	0.387358	+	1.33809i
$659$	−11.3584	+	1.63309i	−0.442461	+	0.0636163i	−0.359945	−	0.932973i	$-0.617205\pi$
$659$	−11.3584	+	1.63309i	−0.442461	+	0.0636163i	−0.0825158	+	0.996590i	$0.526296\pi$
$660$	−5.92145	−	20.7512i	−0.230492	−	0.807738i
$661$	−8.76468	−	19.1920i	−0.340906	−	0.746481i	0.659078	−	0.752075i	$-0.270947\pi$
$661$	−8.76468	−	19.1920i	−0.340906	−	0.746481i	−0.999984	+	0.00559376i	$0.998219\pi$
$662$	24.4024	−	27.9457i	0.948425	−	1.08614i
$663$	−17.3925	+	38.0842i	−0.675468	+	1.47907i
$664$	−0.466724	+	40.7688i	−0.0181124	+	1.58214i
$665$	−4.51752	−	7.02940i	−0.175182	−	0.272588i
$666$	19.4140	−	12.3722i	0.752276	−	0.479412i
$667$	−1.06156	−	5.77677i	−0.0411037	−	0.223677i
$668$	27.5146	+	12.8202i	1.06457	+	0.496027i
$669$	−0.139140	−	0.216506i	−0.00537946	−	0.00837060i
$670$	−16.9521	+	7.66371i	−0.654916	+	0.296075i
$671$	5.98518	+	2.73334i	0.231055	+	0.105519i
$672$	−68.8120	−	1.31304i	−2.65448	−	0.0506517i
$673$	−11.4523	−	25.0770i	−0.441452	−	0.966646i	−0.991329	−	0.131400i	$-0.958053\pi$
$673$	−11.4523	−	25.0770i	−0.441452	−	0.966646i	0.549877	−	0.835246i	$-0.314675\pi$
$674$	−1.18901	+	3.99298i	−0.0457991	+	0.153804i
$675$	−1.51445	−	10.5332i	−0.0582910	−	0.405423i
$676$	1.47359	−	1.67462i	0.0566765	−	0.0644084i
$677$	−19.5849	+	22.6022i	−0.752710	+	0.868674i	−0.994828	−	0.101573i	$-0.967613\pi$
$677$	−19.5849	+	22.6022i	−0.752710	+	0.868674i	0.242118	+	0.970247i	$0.422158\pi$
$678$	−0.00944931	+	2.47632i	−0.000362899	+	0.0951024i
$679$	32.7696	−	50.9904i	1.25758	−	1.95683i
$680$	12.5319	−	19.0177i	0.480575	−	0.729296i
$681$	−11.3807	+	38.7592i	−0.436110	+	1.48526i
$682$	5.80151	+	6.74715i	0.222151	+	0.258362i
$683$	−6.38640	−	7.37030i	−0.244369	−	0.282017i	0.620294	−	0.784370i	$-0.287013\pi$
$683$	−6.38640	−	7.37030i	−0.244369	−	0.282017i	−0.864663	+	0.502353i	$0.832468\pi$
$684$	−0.113903	+	14.9247i	−0.00435519	+	0.570659i
$685$	11.2381	+	38.2735i	0.429386	+	1.46235i
$686$	−0.259754	−	1.85690i	−0.00991746	−	0.0708969i
$687$	1.30383	−	9.06835i	0.0497443	−	0.345979i
$688$	−6.80271	+	21.9243i	−0.259351	+	0.835857i
$689$		−	11.4439i		−	0.435979i
$690$	−27.1632	+	45.7207i	−1.03409	+	1.74056i
$691$	−14.7912			−0.562685			−0.281343	−	0.959607i	$-0.590780\pi$
$691$	−14.7912			−0.562685			−0.281343	+	0.959607i	$0.590780\pi$
$692$	12.9047	−	1.75500i	0.490563	−	0.0667151i
$693$	39.4972	+	5.67884i	1.50038	+	0.215721i
$694$	7.09542	+	50.7230i	0.269339	+	1.92542i
$695$	−11.3523	+	3.33335i	−0.430619	+	0.126441i
$696$	−6.05895	−	9.66952i	−0.229664	−	0.366522i
$697$	−0.478344	+	0.414488i	−0.0181186	+	0.0156998i
$698$	36.1963	−	31.1233i	1.37005	−	1.17803i
$699$	39.9463	+	11.7293i	1.51091	+	0.443643i
$700$	−2.00903	−	4.48952i	−0.0759342	−	0.169688i
$701$	0.575644	+	0.369944i	0.0217418	+	0.0139726i	0.551467	−	0.834197i	$-0.314068\pi$
$701$	0.575644	+	0.369944i	0.0217418	+	0.0139726i	−0.529725	+	0.848170i	$0.677705\pi$
$702$	0.324020	−	84.9139i	0.0122294	−	3.20487i
$703$	−1.48927	−	1.29046i	−0.0561687	−	0.0486705i
$704$	−0.252016	+	11.0055i	−0.00949821	+	0.414785i
$705$	53.0969	−	7.63418i	1.99974	−	0.287520i
$706$	7.79624	+	2.32153i	0.293415	+	0.0873721i
$707$	25.0910	−	11.4587i	0.943644	−	0.430948i
$708$	−8.24100	+	54.3686i	−0.309716	+	2.04330i
$709$	−6.94465	+	15.2067i	−0.260812	+	0.571098i	−0.994056	−	0.108867i	$-0.965278\pi$
$709$	−6.94465	+	15.2067i	−0.260812	+	0.571098i	0.733245	+	0.679965i	$0.238005\pi$
$710$	−24.9644	+	11.2859i	−0.936897	+	0.423553i
$711$	−1.52910	+	0.982694i	−0.0573458	+	0.0368539i
$712$	−10.6474	+	1.40666i	−0.399027	+	0.0527166i
$713$	2.27358	−	21.8113i	0.0851462	−	0.816838i
$714$	31.2818	+	49.0863i	1.17069	+	1.83701i
$715$	10.3523	−	6.65305i	0.387156	−	0.248810i
$716$	−5.77701	−	3.77527i	−0.215897	−	0.141088i
$717$	−76.3339	−	34.8605i	−2.85074	−	1.30189i
$718$	−27.7323	+	31.7591i	−1.03496	+	1.18524i
$719$	−30.3833	+	13.8756i	−1.13311	+	0.517472i	−0.891553	−	0.452916i	$-0.850384\pi$
$719$	−30.3833	+	13.8756i	−1.13311	+	0.517472i	−0.241552	+	0.970388i	$0.577656\pi$
$720$	−11.7670	+	73.8240i	−0.438531	+	2.75126i
$721$	9.62844	+	66.9673i	0.358582	+	2.49399i
$722$	−24.5831	+	7.11648i	−0.914890	+	0.264848i
$723$	30.4373	+	26.3741i	1.13198	+	0.980863i
$724$	−11.1048	+	7.01746i	−0.412707	+	0.260802i
$725$	0.440884	−	0.686028i	0.0163740	−	0.0254784i
$726$	−6.19775	+	41.9688i	−0.230020	+	1.55761i
$727$	25.1769	+	7.39260i	0.933759	+	0.274176i	0.713010	−	0.701154i	$-0.247332\pi$
$727$	25.1769	+	7.39260i	0.933759	+	0.274176i	0.220749	+	0.975331i	$0.429150\pi$
$728$	−10.6255	−	37.7820i	−0.393809	−	1.40029i
$729$	−46.1509	−	53.2610i	−1.70929	−	1.97263i
$730$	−35.0075	−	22.6872i	−1.29569	−	0.839690i
$731$	18.6276	−	5.46955i	0.688966	−	0.202299i
$732$	−20.4478	−	23.9652i	−0.755773	−	0.885778i
$733$	2.05587	−	14.2989i	0.0759352	−	0.528141i	−0.915979	−	0.401227i	$-0.868584\pi$
$733$	2.05587	−	14.2989i	0.0759352	−	0.528141i	0.991914	−	0.126914i	$-0.0405072\pi$
$734$	−0.753921	+	1.63432i	−0.0278277	+	0.0603240i
$735$	52.0731			1.92074
$736$	20.1462	−	18.1695i	0.742598	−	0.669737i
$737$	−7.60483			−0.280128
$738$	0.870230	−	1.88645i	0.0320336	−	0.0694413i
$739$	2.52644	−	17.5718i	0.0929367	−	0.646389i	−0.889102	−	0.457709i	$-0.848670\pi$
$739$	2.52644	−	17.5718i	0.0929367	−	0.646389i	0.982039	−	0.188680i	$-0.0604208\pi$
$740$	−6.40643	−	7.50844i	−0.235505	−	0.276016i
$741$	−11.2867	+	3.31407i	−0.414627	+	0.121746i
$742$	−13.3514	−	8.65258i	−0.490145	−	0.317646i
$743$	−14.6570	−	16.9151i	−0.537714	−	0.620555i	0.420262	−	0.907403i	$-0.361938\pi$
$743$	−14.6570	−	16.9151i	−0.537714	−	0.620555i	−0.957976	+	0.286847i	$0.907393\pi$
$744$	−11.5343	−	41.0133i	−0.422867	−	1.50362i
$745$	16.6783	+	4.89720i	0.611047	+	0.179420i
$746$	−6.36381	+	43.0933i	−0.232996	+	1.57776i
$747$	−61.1890	+	95.2120i	−2.23879	+	3.48362i
$748$	7.87031	−	4.97348i	0.287767	−	0.181848i
$749$	−15.1369	−	13.1162i	−0.553090	−	0.479255i
$750$	46.1659	−	13.3644i	1.68574	−	0.487998i
$751$	−0.393565	−	2.73731i	−0.0143614	−	0.0998858i	0.981380	−	0.192076i	$-0.0615222\pi$
$751$	−0.393565	−	2.73731i	−0.0143614	−	0.0998858i	−0.995741	+	0.0921907i	$0.970613\pi$
$752$	−27.0238	−	4.30740i	−0.985456	−	0.157075i
$753$	18.2435	−	8.33153i	0.664831	−	0.303618i
$754$	4.28004	−	4.90151i	0.155870	−	0.178502i
$755$	35.6246	+	16.2692i	1.29651	+	0.592097i
$756$	−98.8220	−	64.5800i	−3.59412	−	2.34875i
$757$	14.1830	−	9.11488i	0.515491	−	0.331286i	−0.256895	−	0.966439i	$-0.582699\pi$
$757$	14.1830	−	9.11488i	0.515491	−	0.331286i	0.772386	+	0.635153i	$0.219063\pi$
$758$	16.5048	+	25.8987i	0.599481	+	0.940683i
$759$	−17.8168	+	12.4560i	−0.646708	+	0.452126i
$760$	6.34389	−	0.838108i	0.230117	−	0.0304014i
$761$	5.02633	−	3.23022i	0.182204	−	0.117096i	−0.446359	−	0.894854i	$-0.647280\pi$
$761$	5.02633	−	3.23022i	0.182204	−	0.117096i	0.628563	+	0.777758i	$0.283643\pi$
$762$	37.5206	−	16.9623i	1.35923	−	0.614481i
$763$	23.1886	−	50.7759i	0.839483	−	1.83821i
$764$	3.83804	−	25.3208i	0.138856	−	0.916076i
$765$	57.5096	−	26.2638i	2.07926	−	0.949569i
$766$	21.2864	+	6.33858i	0.769110	+	0.229022i
$767$	−31.0390	+	4.46274i	−1.12075	+	0.161140i
$768$	23.3482	−	47.2530i	0.842507	−	1.70510i
$769$	−29.8064	−	25.8274i	−1.07484	−	0.931358i	−0.0770033	−	0.997031i	$-0.524535\pi$
$769$	−29.8064	−	25.8274i	−1.07484	−	0.931358i	−0.997841	+	0.0656728i	$0.979081\pi$
$770$	0.0652823	−	17.1081i	0.00235261	−	0.616533i
$771$	−21.1731	−	13.6071i	−0.762532	−	0.490049i
$772$	−8.35665	−	18.6744i	−0.300763	−	0.672105i
$773$	30.6492	+	8.99940i	1.10237	+	0.323686i	0.781795	−	0.623536i	$-0.214304\pi$
$773$	30.6492	+	8.99940i	1.10237	+	0.323686i	0.320579	+	0.947222i	$0.396123\pi$
$774$	−48.3172	+	41.5454i	−1.73673	+	1.49332i
$775$	2.30104	−	1.99386i	0.0826557	−	0.0716216i
$776$	24.6466	+	39.3337i	0.884762	+	1.41200i
$777$	24.2030	−	7.10665i	0.868279	−	0.254950i
$778$	−4.19430	−	29.9838i	−0.150373	−	1.07497i
$779$	−0.176021	−	0.0253080i	−0.00630662	−	0.000906755i
$780$	−58.3813	+	7.93969i	−2.09039	+	0.284287i
$781$	−11.1992			−0.400740
$782$	−22.2279	−	5.68707i	−0.794870	−	0.203369i
$783$		−	19.5729i		−	0.699477i
$784$	−25.3709	−	7.87213i	−0.906103	−	0.281147i
$785$	5.31948	−	36.9978i	0.189860	−	1.32051i
$786$	−4.48308	−	32.0481i	−0.159906	−	1.14312i
$787$	7.53899	+	25.6755i	0.268736	+	0.915231i	0.977704	+	0.209990i	$0.0673431\pi$
$787$	7.53899	+	25.6755i	0.268736	+	0.915231i	−0.708967	+	0.705241i	$0.750839\pi$
$788$	0.134158	−	17.5787i	0.00477918	−	0.626215i
$789$	−2.15659	−	2.48884i	−0.0767766	−	0.0886049i
$790$	0.508082	+	0.590899i	0.0180767	+	0.0210232i
$791$	−0.553109	+	1.88371i	−0.0196663	+	0.0669772i
$792$	−16.8143	+	25.5166i	−0.597472	+	0.906693i
$793$	9.71252	−	15.1130i	0.344902	−	0.536678i
$794$	0.0678942	−	17.7926i	0.00240948	−	0.631436i
$795$	−15.6407	+	18.0504i	−0.554719	+	0.640180i
$796$	−25.4190	+	28.8866i	−0.900951	+	1.02386i
$797$	1.16827	+	8.12547i	0.0413821	+	0.287819i	0.999995	+	0.00310680i	$0.000988928\pi$
$797$	1.16827	+	8.12547i	0.0413821	+	0.287819i	−0.958613	+	0.284712i	$0.908102\pi$
$798$	−4.66724	+	15.6736i	−0.165218	+	0.554841i
$799$	9.61403	+	21.0518i	0.340120	+	0.744759i
$800$	3.76598	+	0.0718609i	0.133148	+	0.00254066i
$801$	−27.1190	−	12.3848i	−0.958203	−	0.437597i
$802$	42.8087	−	19.3530i	1.51163	−	0.683378i
$803$	−9.21930	−	14.3455i	−0.325342	−	0.506242i
$804$	33.0041	+	15.3779i	1.16396	+	0.542338i
$805$	−30.7649	+	28.8296i	−1.08432	+	1.01611i
$806$	20.4886	−	13.0570i	0.721679	−	0.459913i
$807$	14.4824	+	22.5350i	0.509803	+	0.793269i
$808$	−0.241811	+	21.1225i	−0.00850690	+	0.743086i
$809$	22.4454	−	49.1485i	0.789137	−	1.72797i	0.110031	−	0.993928i	$-0.464905\pi$
$809$	22.4454	−	49.1485i	0.789137	−	1.72797i	0.679106	−	0.734040i	$-0.262368\pi$
$810$	−64.4124	+	73.7652i	−2.26322	+	2.59185i
$811$	22.3356	+	48.9082i	0.784310	+	1.71740i	0.692262	+	0.721646i	$0.256614\pi$
$811$	22.3356	+	48.9082i	0.784310	+	1.71740i	0.0920481	+	0.995755i	$0.470659\pi$
$812$	−2.48241	−	8.69937i	−0.0871155	−	0.305288i
$813$	3.61512	−	0.519775i	0.126788	−	0.0182293i
$814$	−1.12192	−	3.87554i	−0.0393232	−	0.135838i
$815$	5.35923	−	6.18488i	0.187726	−	0.216647i
$816$	−44.2133	+	5.66957i	−1.54777	+	0.198474i
$817$	4.58868	+	2.94896i	0.160537	+	0.103171i
$818$	−3.07241	+	20.8052i	−0.107424	+	0.727437i
$819$	30.6944	−	104.535i	1.07255	−	3.65276i
$820$	−0.852690	−	0.257457i	−0.0297772	−	0.00899078i
$821$	−3.62248	+	3.13890i	−0.126425	+	0.109548i	−0.715779	−	0.698327i	$-0.753928\pi$
$821$	−3.62248	+	3.13890i	−0.126425	+	0.109548i	0.589353	+	0.807875i	$0.299383\pi$
$822$	42.4580	−	65.5150i	1.48089	−	2.28510i
$823$	−4.62732	−	15.7592i	−0.161298	−	0.549331i	−0.999989	−	0.00472290i	$-0.998497\pi$
$823$	−4.62732	−	15.7592i	−0.161298	−	0.549331i	0.838691	−	0.544608i	$-0.183322\pi$
$824$	−49.5425	−	15.1651i	−1.72590	−	0.528303i
$825$	−2.98756	−	0.429547i	−0.104014	−	0.0149549i
$826$	−18.2615	+	39.5867i	−0.635400	+	1.37740i
$827$			19.6040i			0.681697i	0.940118	+	0.340848i	$0.110714\pi$
$827$			19.6040i			0.681697i	−0.940118	+	0.340848i	$0.889286\pi$
$828$	74.1705	−	13.0454i	2.57760	−	0.453361i
$829$		−	20.9519i		−	0.727689i	−0.931460	−	0.363844i	$-0.881464\pi$
$829$		−	20.9519i		−	0.727689i	0.931460	−	0.363844i	$-0.118536\pi$
$830$	44.0621	+	20.3260i	1.52942	+	0.705527i
$831$	47.6401	+	6.84961i	1.65262	+	0.237610i
$832$	29.6446	+	4.95741i	1.02774	+	0.171867i
$833$	6.32939	+	21.5559i	0.219300	+	0.746868i
$834$	19.4325	+	12.5935i	0.672891	+	0.436078i
$835$	27.3028	−	23.6580i	0.944852	−	0.818719i
$836$	2.50411	+	0.756078i	0.0866064	+	0.0261495i
$837$	20.5884	−	70.1175i	0.711638	−	2.42362i
$838$	53.4511	+	7.89340i	1.84644	+	0.272673i
$839$	3.87460	+	2.49005i	0.133766	+	0.0859662i	0.605812	−	0.795607i	$-0.292848\pi$
$839$	3.87460	+	2.49005i	0.133766	+	0.0859662i	−0.472046	+	0.881574i	$0.656485\pi$
$840$	−34.8781	+	74.1152i	−1.20341	+	2.55722i
$841$	−18.0087	+	20.7832i	−0.620991	+	0.716661i
$842$	40.0743	−	11.6010i	1.38105	−	0.399795i
$843$	−39.3498	+	5.65765i	−1.35528	+	0.194860i
$844$	12.0000	−	3.42427i	0.413058	−	0.117868i
$845$	−1.10285	−	2.41491i	−0.0379392	−	0.0830754i
$846$	−57.2188	−	49.9639i	−1.96722	−	1.71779i
$847$	−13.9719	+	30.5943i	−0.480082	+	1.05123i
$848$	10.3492	−	6.42996i	0.355392	−	0.220806i
$849$	51.2572	+	79.7578i	1.75914	+	2.73728i
$850$	−1.71201	−	2.68642i	−0.0587214	−	0.0921434i
$851$	−5.04598	+	8.56761i	−0.172974	+	0.293694i
$852$	48.6033	+	22.6463i	1.66512	+	0.775848i
$853$	−25.9811	−	40.4273i	−0.889574	−	1.38420i	−0.923015	−	0.384764i	$-0.874283\pi$
$853$	−25.9811	−	40.4273i	−0.889574	−	1.38420i	0.0334406	−	0.999441i	$-0.489354\pi$
$854$	−10.2885	−	22.7581i	−0.352065	−	0.778765i
$855$	16.1579	+	7.37909i	0.552590	+	0.252359i
$856$	14.0243	−	6.21167i	0.479341	−	0.212310i
$857$	−1.23241	−	2.69859i	−0.0420982	−	0.0921822i	0.887414	−	0.460973i	$-0.152499\pi$
$857$	−1.23241	−	2.69859i	−0.0420982	−	0.0921822i	−0.929513	+	0.368790i	$0.879772\pi$
$858$	−23.0829	−	6.87354i	−0.788038	−	0.234659i
$859$	3.18865	+	22.1776i	0.108795	+	0.756688i	0.969057	+	0.246836i	$0.0793909\pi$
$859$	3.18865	+	22.1776i	0.108795	+	0.756688i	−0.860262	+	0.509852i	$0.829700\pi$
$860$	20.5103	+	18.0482i	0.699396	+	0.615438i
$861$	1.49070	−	1.72036i	0.0508030	−	0.0586298i
$862$	30.6044	+	0.116782i	1.04239	+	0.00397762i
$863$	9.44151	−	14.6913i	0.321393	−	0.500097i	−0.642537	−	0.766255i	$-0.722118\pi$
$863$	9.44151	−	14.6913i	0.321393	−	0.500097i	0.963929	+	0.266158i	$0.0857543\pi$
$864$	76.9728	−	47.4172i	2.61867	−	1.61317i
$865$	4.36684	−	14.8721i	0.148477	−	0.505666i
$866$	−5.66097	+	4.86756i	−0.192368	+	0.165407i
$867$	−11.9855	−	13.8320i	−0.407048	−	0.469758i
$868$	0.257771	−	33.7757i	0.00874933	−	1.14642i
$869$	0.0897485	+	0.305655i	0.00304451	+	0.0103686i
$870$	−13.4499	+	1.88144i	−0.455993	+	0.0637869i
$871$	−2.95496	+	20.5522i	−0.100125	+	0.696385i
$872$	27.6222	+	32.6249i	0.935405	+	1.10482i
$873$			128.852i			4.36098i
$874$	−2.88215	−	5.76616i	−0.0974903	−	0.195043i
$875$	38.1030			1.28812
$876$	11.0022	+	80.9005i	0.371731	+	2.73337i
$877$	25.4152	+	3.65415i	0.858209	+	0.123392i	0.557351	−	0.830277i	$-0.311818\pi$
$877$	25.4152	+	3.65415i	0.858209	+	0.123392i	0.300858	+	0.953669i	$0.402727\pi$
$878$	3.21873	−	0.450254i	0.108627	−	0.0151953i
$879$	24.7418	−	7.26484i	0.834520	−	0.245037i
$880$	11.8332	+	5.62389i	0.398898	+	0.189581i
$881$	23.9040	−	20.7129i	0.805345	−	0.697835i	−0.151493	−	0.988458i	$-0.548408\pi$
$881$	23.9040	−	20.7129i	0.805345	−	0.697835i	0.956838	+	0.290623i	$0.0938626\pi$
$882$	−48.0764	−	55.9128i	−1.61882	−	1.88268i
$883$	−4.77719	−	1.40271i	−0.160765	−	0.0472049i	0.200360	−	0.979722i	$-0.435789\pi$
$883$	−4.77719	−	1.40271i	−0.160765	−	0.0472049i	−0.361125	+	0.932517i	$0.617607\pi$
$884$	−10.3828	−	23.2022i	−0.349212	−	0.780374i
$885$	55.0567	+	35.3828i	1.85071	+	1.18938i
$886$	−49.6644	−	0.189513i	−1.66851	−	0.00636682i
$887$	29.6513	+	25.6930i	0.995593	+	0.862687i	0.990529	−	0.137301i	$-0.0438426\pi$
$887$	29.6513	+	25.6930i	0.995593	+	0.862687i	0.00506398	+	0.999987i	$0.498388\pi$
$888$	−2.96786	+	19.0881i	−0.0995948	+	0.640554i
$889$	32.3126	−	4.64584i	1.08373	−	0.155817i
$890$	−3.64791	+	12.2505i	−0.122278	+	0.410639i
$891$	−36.4138	+	16.6296i	−1.21991	+	0.557114i
$892$	0.154488	+	0.0234168i	0.00517265	+	0.000784052i
$893$	−2.70117	+	5.91473i	−0.0903911	+	0.197929i
$894$	−14.0144	−	30.9996i	−0.468710	−	1.03678i
$895$	−6.90962	+	4.44054i	−0.230963	+	0.148431i
$896$	28.1975	−	30.8375i	0.942013	−	1.03021i
$897$	26.7398	+	52.9901i	0.892814	+	1.76929i
$898$	11.7546	−	7.49100i	0.392256	−	0.249978i
$899$	4.71111	−	3.02765i	0.157124	−	0.100978i
$900$	8.75274	+	5.71990i	0.291758	+	0.190663i
$901$	−9.37314	−	4.28057i	−0.312265	−	0.142606i
$902$	−0.274257	−	0.239484i	−0.00913177	−	0.00797393i
$903$	−63.5126	+	29.0052i	−2.11357	+	0.965234i
$904$	−1.12490	−	0.997506i	−0.0374137	−	0.0331766i
$905$	2.22498	+	15.4751i	0.0739607	+	0.514408i
$906$	−21.3140	−	73.6269i	−0.708109	−	2.44609i
$907$	−23.8904	−	20.7012i	−0.793268	−	0.687370i	0.160791	−	0.986988i	$-0.448595\pi$
$907$	−23.8904	−	20.7012i	−0.793268	−	0.687370i	−0.954059	+	0.299618i	$0.903141\pi$
$908$	−13.1016	−	20.7328i	−0.434793	−	0.688041i
$909$	−31.7023	+	49.3297i	−1.05150	+	1.63616i
$910$	−46.2096	−	6.82401i	−1.53183	−	0.226214i
$911$	−26.7566	−	7.85643i	−0.886484	−	0.260295i	−0.193373	−	0.981125i	$-0.561943\pi$
$911$	−26.7566	−	7.85643i	−0.886484	−	0.260295i	−0.693112	+	0.720830i	$0.743761\pi$
$912$	−9.33866	−	8.34492i	−0.309234	−	0.276328i
$913$	12.9896	+	14.9907i	0.429891	+	0.496121i
$914$	−18.3010	+	28.2394i	−0.605343	+	0.934076i
$915$	−35.9747	+	10.5631i	−1.18929	+	0.349206i
$916$	3.61036	+	4.23140i	0.119290	+	0.139809i
$917$	3.65111	−	25.3940i	0.120570	−	0.838584i
$918$	−69.4273	−	32.0271i	−2.29144	−	1.05705i
$919$	−47.0014			−1.55043			−0.775217	−	0.631695i	$-0.782359\pi$
$919$	−47.0014			−1.55043			−0.775217	+	0.631695i	$0.782359\pi$
$920$	−9.94465	−	30.7184i	−0.327865	−	1.01276i
$921$	−11.9266			−0.392993
$922$	49.6375	+	22.8980i	1.63472	+	0.754105i
$923$	−4.35161	+	30.2661i	−0.143235	+	0.996222i
$924$	−25.4718	+	21.7333i	−0.837961	+	0.714974i
$925$	−1.32460	+	0.388936i	−0.0435524	+	0.0127881i
$926$	−8.13677	+	12.5555i	−0.267391	+	0.412598i
$927$	−94.1855	−	108.696i	−3.09346	−	3.57004i
$928$	6.83743	+	1.11661i	0.224449	+	0.0366544i
$929$	−54.6065	−	16.0339i	−1.79158	−	0.526056i	−0.794848	−	0.606809i	$-0.792449\pi$
$929$	−54.6065	−	16.0339i	−1.79158	−	0.526056i	−0.996734	+	0.0807527i	$0.974268\pi$
$930$	−50.1616	−	7.40763i	−1.64487	−	0.242906i
$931$	−3.41255	+	5.31003i	−0.111842	+	0.174029i
$932$	−21.3678	+	13.5029i	−0.699925	+	0.442303i
$933$	40.7296	+	35.2924i	1.33343	+	1.15542i
$934$	2.68101	+	9.26125i	0.0877252	+	0.303037i
$935$	−1.57691	−	10.9676i	−0.0515703	−	0.358679i
$936$	62.4257	+	55.3559i	2.04045	+	1.80936i
$937$	7.14736	−	3.26409i	0.233494	−	0.106633i	−0.295232	−	0.955425i	$-0.595397\pi$
$937$	7.14736	−	3.26409i	0.233494	−	0.106633i	0.528726	+	0.848792i	$0.322670\pi$
$938$	21.7436	+	18.9867i	0.709953	+	0.619937i
$939$	99.1992	+	45.3028i	3.23724	+	1.47840i
$940$	−17.8164	+	27.2632i	−0.581107	+	0.889226i
$941$	29.1120	−	18.7092i	0.949025	−	0.609901i	0.0280851	−	0.999606i	$-0.491059\pi$
$941$	29.1120	−	18.7092i	0.949025	−	0.609901i	0.920940	+	0.389704i	$0.127423\pi$
$942$	−61.6927	+	39.3157i	−2.01006	+	1.28097i
$943$	0.0349284	+	0.896619i	0.00113743	+	0.0291979i
$944$	−21.4756	−	25.5623i	−0.698971	−	0.831982i
$945$	−118.196	+	75.9603i	−3.84493	+	2.47099i
$946$	4.60054	+	10.1764i	0.149577	+	0.330862i
$947$	−7.40946	+	16.2244i	−0.240775	+	0.527224i	−0.990985	−	0.133977i	$-0.957225\pi$
$947$	−7.40946	+	16.2244i	−0.240775	+	0.527224i	0.750210	+	0.661200i	$0.229953\pi$
$948$	0.228576	−	1.50799i	0.00742381	−	0.0489773i
$949$	−42.3513	+	19.3412i	−1.37478	+	0.627842i
$950$	0.255431	−	0.857795i	0.00828727	−	0.0278306i
$951$	85.5924	−	12.3063i	2.77553	−	0.399060i
$952$	−34.9197	−	5.42940i	−1.13175	−	0.175968i
$953$	−21.0810	−	18.2668i	−0.682881	−	0.591720i	0.242777	−	0.970082i	$-0.421942\pi$
$953$	−21.0810	−	18.2668i	−0.682881	−	0.591720i	−0.925657	+	0.378363i	$0.876487\pi$
$954$	33.8217	+	0.129059i	1.09502	+	0.00417844i
$955$	−25.6413	−	16.4787i	−0.829734	−	0.533238i
$956$	46.5051	−	20.8107i	1.50408	−	0.673067i
$957$	−5.32664	−	1.56404i	−0.172186	−	0.0505583i
$958$	31.9280	+	37.1322i	1.03155	+	1.19969i
$959$	46.7762	−	40.5318i	1.51048	−	1.30884i
$960$	−39.9826	−	48.3353i	−1.29043	−	1.56002i
$961$	−9.68253	+	2.84305i	−0.312340	+	0.0917112i
$962$	−10.9097	+	1.52611i	−0.351742	+	0.0492037i
$963$	42.1449	+	6.05951i	1.35810	+	0.195265i
$964$	−24.2289	+	3.29506i	−0.780361	+	0.106127i
$965$	−24.3492			−0.783829
$966$	82.0398	+	8.86831i	2.63959	+	0.285333i
$967$			17.3728i			0.558673i	0.960193	+	0.279337i	$0.0901145\pi$
$967$			17.3728i			0.558673i	−0.960193	+	0.279337i	$0.909885\pi$
$968$	−16.6433	−	19.6577i	−0.534937	−	0.631822i
$969$	−1.50737	+	10.4840i	−0.0484236	+	0.336794i
$970$	54.7114	−	7.65334i	1.75668	−	0.245734i
$971$	−11.5585	−	39.3647i	−0.370931	−	1.26327i	−0.907727	−	0.419562i	$-0.862184\pi$
$971$	−11.5585	−	39.3647i	−0.370931	−	1.26327i	0.536796	−	0.843712i	$-0.319634\pi$
$972$	95.7722	+	0.730919i	3.07189	+	0.0234443i
$973$	12.0222	+	13.8743i	0.385413	+	0.444791i
$974$	−35.7899	+	30.7738i	−1.14678	+	0.986056i
$975$	−2.32172	+	7.90705i	−0.0743545	+	0.253228i
$976$	19.1244	+	0.291926i	0.612156	+	0.00934432i
$977$	19.6970	−	30.6492i	0.630164	−	0.980555i	−0.368537	−	0.929613i	$-0.620141\pi$
$977$	19.6970	−	30.6492i	0.630164	−	0.980555i	0.998702	−	0.0509418i	$-0.0162223\pi$
$978$	−16.0169	−	0.0611183i	−0.512163	−	0.00195435i
$979$	−3.42167	+	3.94881i	−0.109357	+	0.126205i
$980$	−20.8854	+	23.7346i	−0.667160	+	0.758174i
$981$	16.8877	+	117.457i	0.539184	+	3.75011i
$982$	−14.7908	−	4.40436i	−0.471995	−	0.140549i
$983$	−20.5265	−	44.9467i	−0.654692	−	1.43358i	−0.887386	−	0.461026i	$-0.847481\pi$
$983$	−20.5265	−	44.9467i	−0.654692	−	1.43358i	0.232694	−	0.972550i	$-0.425246\pi$
$984$	0.705979	+	1.59392i	0.0225058	+	0.0508122i
$985$	−19.0313	−	8.69129i	−0.606387	−	0.276928i
$986$	−2.41364	−	5.33895i	−0.0768659	−	0.170027i
$987$	−44.9999	−	70.0212i	−1.43236	−	2.22880i
$988$	3.01632	−	6.47362i	0.0959620	−	0.205953i
$989$	10.4501	−	25.4615i	0.332294	−	0.809629i
$990$	19.5458	+	30.6705i	0.621206	+	0.974774i
$991$	−3.01554	−	4.69227i	−0.0957918	−	0.149055i	0.790050	−	0.613043i	$-0.210055\pi$
$991$	−3.01554	−	4.69227i	−0.0957918	−	0.149055i	−0.885842	+	0.463988i	$0.846418\pi$
$992$	23.3198	+	11.1923i	0.740403	+	0.355356i
$993$	−35.8996	+	78.6093i	−1.13924	+	2.49459i
$994$	32.0206	+	27.9606i	1.01563	+	0.886858i
$995$	19.0238	+	41.6564i	0.603096	+	1.32060i
$996$	−26.0600	−	91.3247i	−0.825742	−	2.89373i
$997$	−45.4830	+	6.53946i	−1.44046	+	0.207107i	−0.817853	−	0.575428i	$-0.804836\pi$
$997$	−45.4830	+	6.53946i	−1.44046	+	0.207107i	−0.622607	+	0.782535i	$0.713927\pi$
$998$	−6.72006	+	1.94536i	−0.212720	+	0.0615794i
$999$	−21.6985	+	25.0414i	−0.686510	+	0.792274i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.j.a.11.14	✓	220
4.3	odd	2		736.2.r.a.655.21		220
8.3	odd	2	inner	184.2.j.a.11.22	yes	220
8.5	even	2		736.2.r.a.655.22		220
23.21	odd	22	inner	184.2.j.a.67.22	yes	220
92.67	even	22		736.2.r.a.527.22		220
184.21	odd	22		736.2.r.a.527.21		220
184.67	even	22	inner	184.2.j.a.67.14	yes	220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.j.a.11.14	✓	220	1.1	even	1	trivial
184.2.j.a.11.22	yes	220	8.3	odd	2	inner
184.2.j.a.67.14	yes	220	184.67	even	22	inner
184.2.j.a.67.22	yes	220	23.21	odd	22	inner
736.2.r.a.527.21		220	184.21	odd	22
736.2.r.a.527.22		220	92.67	even	22
736.2.r.a.655.21		220	4.3	odd	2
736.2.r.a.655.22		220	8.5	even	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+(0.592390 - 1.28416i) q^{2} +(-0.468808 + 3.26063i) q^{3} +(-1.29815 - 1.52145i) q^{4} +(-2.28389 + 0.670610i) q^{5} +(3.90947 + 2.53359i) q^{6} +(2.41865 + 2.79127i) q^{7} +(-2.72280 + 0.765741i) q^{8} +(-7.53346 - 2.21202i) q^{9} +(-0.491780 + 3.33015i) q^{10} +(-0.743947 + 1.15760i) q^{11} +(5.56947 - 3.51952i) q^{12} +(2.83938 + 2.46034i) q^{13} +(5.01722 - 1.45242i) q^{14} +(-1.11591 - 7.76130i) q^{15} +(-0.629623 + 3.95014i) q^{16} +(3.07719 - 1.40531i) q^{17} +(-7.30335 + 8.36381i) q^{18} +(0.864571 + 0.394836i) q^{19} +(3.98512 + 2.60427i) q^{20} +(-10.2352 + 6.57775i) q^{21} +(1.04585 + 1.64110i) q^{22} +(1.17100 - 4.65067i) q^{23} +(-1.22033 - 9.23704i) q^{24} +(0.560156 - 0.359990i) q^{25} +(4.84149 - 2.18875i) q^{26} +(6.63901 - 14.5374i) q^{27} +(1.10701 - 7.30333i) q^{28} +(1.11403 - 0.508763i) q^{29} +(-10.6278 - 3.16471i) q^{30} +(4.52606 - 0.650749i) q^{31} +(4.69964 + 3.14856i) q^{32} +(-3.42575 - 2.96843i) q^{33} +(0.0182555 - 4.78411i) q^{34} +(-7.39577 - 4.75297i) q^{35} +(6.41406 + 14.3333i) q^{36} +(-1.98930 - 0.584112i) q^{37} +(1.01920 - 0.876353i) q^{38} +(-9.35337 + 8.10475i) q^{39} +(5.70505 - 3.57480i) q^{40} +(-0.179521 + 0.0527121i) q^{41} +(2.38368 + 17.0402i) q^{42} +(5.68045 + 0.816725i) q^{43} +(2.72699 - 0.370863i) q^{44} +18.6890 q^{45} +(-5.27854 - 4.25876i) q^{46} +6.84123i q^{47} +(-12.5848 - 3.90482i) q^{48} +(-0.945117 + 6.57343i) q^{49} +(-0.130455 - 0.932586i) q^{50} +(3.13958 + 10.6924i) q^{51} +(0.0573446 - 7.51386i) q^{52} +(-1.99471 - 2.30201i) q^{53} +(-14.7355 - 17.1374i) q^{54} +(0.922791 - 3.14274i) q^{55} +(-8.72288 - 5.74801i) q^{56} +(-1.69273 + 2.63394i) q^{57} +(0.00660904 - 1.73199i) q^{58} +(-5.46581 + 6.30788i) q^{59} +(-10.3598 + 11.7731i) q^{60} +(-0.680500 - 4.73298i) q^{61} +(1.84553 - 6.19770i) q^{62} +(-12.0464 - 26.3780i) q^{63} +(6.82728 - 4.16992i) q^{64} +(-8.13475 - 3.71501i) q^{65} +(-5.84133 + 2.64076i) q^{66} +(2.98789 + 4.64925i) q^{67} +(-6.13276 - 2.85750i) q^{68} +(14.6152 + 5.99846i) q^{69} +(-10.4848 + 6.68176i) q^{70} +(4.40011 + 6.84670i) q^{71} +(22.2059 + 0.254215i) q^{72} +(-5.14799 + 11.2725i) q^{73} +(-1.92854 + 2.20857i) q^{74} +(0.911191 + 1.99523i) q^{75} +(-0.521617 - 1.82796i) q^{76} +(-5.03053 + 0.723281i) q^{77} +(4.86697 + 16.8124i) q^{78} +(0.151602 - 0.174958i) q^{79} +(-1.21101 - 9.44390i) q^{80} +(24.4734 + 15.7281i) q^{81} +(-0.0386555 + 0.261760i) q^{82} +(4.06115 - 13.8310i) q^{83} +(23.2945 + 7.03342i) q^{84} +(-6.08555 + 5.27316i) q^{85} +(4.41385 - 6.81080i) q^{86} +(1.13662 + 3.87097i) q^{87} +(1.13919 - 3.72160i) q^{88} +(3.75848 + 0.540388i) q^{89} +(11.0712 - 23.9997i) q^{90} +13.8762i q^{91} +(-8.59590 + 4.25565i) q^{92} +15.0629i q^{93} +(8.78526 + 4.05268i) q^{94} +(-2.23936 - 0.321972i) q^{95} +(-12.4695 + 13.8477i) q^{96} +(-4.62355 - 15.7464i) q^{97} +(7.88148 + 5.10772i) q^{98} +(8.16515 - 7.07514i) 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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