LMFDB - Embedded newform 184.2.p.a.13.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [184,2,Mod(13,184)] 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([0, 11, 14])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("184.13"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.p (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			13.1
Character	$\chi$	$=$	184.13
Dual form			184.2.p.a.85.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.41340 + 0.0480184i) q^{2} +(1.16787 - 1.81725i) q^{3} +(1.99539 - 0.135738i) q^{4} +(-0.362199 - 0.165411i) q^{5} +(-1.56341 + 2.62457i) q^{6} +(4.46721 + 1.31169i) q^{7} +(-2.81376 + 0.287667i) q^{8} +(-0.692209 - 1.51573i) q^{9} +(0.519873 + 0.216399i) q^{10} +(-1.57409 - 1.36396i) q^{11} +(2.08369 - 3.78463i) q^{12} +(-0.0948485 - 0.323024i) q^{13} +(-6.37693 - 1.63943i) q^{14} +(-0.723593 + 0.465025i) q^{15} +(3.96315 - 0.541701i) q^{16} +(-0.482284 - 3.35436i) q^{17} +(1.05115 + 2.10908i) q^{18} +(-3.23621 - 0.465297i) q^{19} +(-0.745179 - 0.280894i) q^{20} +(7.60080 - 6.58613i) q^{21} +(2.29032 + 1.85223i) q^{22} +(0.689006 + 4.74608i) q^{23} +(-2.76335 + 5.44925i) q^{24} +(-3.17048 - 3.65892i) q^{25} +(0.149570 + 0.452007i) q^{26} +(2.85167 + 0.410009i) q^{27} +(9.09187 + 2.01096i) q^{28} +(6.64920 - 0.956010i) q^{29} +(1.00040 - 0.692011i) q^{30} +(-2.94236 + 1.89094i) q^{31} +(-5.57550 + 0.955943i) q^{32} +(-4.31699 + 1.26758i) q^{33} +(0.842730 + 4.71788i) q^{34} +(-1.40105 - 1.21402i) q^{35} +(-1.58697 - 2.93050i) q^{36} +(-4.75911 + 2.17341i) q^{37} +(4.59640 + 0.502252i) q^{38} +(-0.697785 - 0.204888i) q^{39} +(1.06672 + 0.361233i) q^{40} +(0.269169 - 0.589399i) q^{41} +(-10.4267 + 9.67380i) q^{42} +(-6.03436 + 9.38965i) q^{43} +(-3.32607 - 2.50797i) q^{44} +0.663492i q^{45} +(-1.20174 - 6.67501i) q^{46} -8.57887 q^{47} +(3.64405 - 7.83465i) q^{48} +(12.3467 + 7.93472i) q^{49} +(4.65684 + 5.01928i) q^{50} +(-6.65894 - 3.04103i) q^{51} +(-0.233106 - 0.631684i) q^{52} +(-1.89523 + 6.45455i) q^{53} +(-4.05024 - 0.442573i) q^{54} +(0.344521 + 0.754396i) q^{55} +(-12.9470 - 2.40571i) q^{56} +(-4.62504 + 5.33758i) q^{57} +(-9.35206 + 1.67051i) q^{58} +(3.19060 + 10.8662i) q^{59} +(-1.38073 + 1.02612i) q^{60} +(-1.47146 - 2.28964i) q^{61} +(4.06792 - 2.81394i) q^{62} +(-1.10408 - 7.67903i) q^{63} +(7.83449 - 1.61885i) q^{64} +(-0.0190776 + 0.132688i) q^{65} +(6.04076 - 1.99890i) q^{66} +(6.90654 - 5.98455i) q^{67} +(-1.41766 - 6.62778i) q^{68} +(9.42946 + 4.29072i) q^{69} +(2.03854 + 1.64861i) q^{70} +(3.85725 + 4.45150i) q^{71} +(2.38373 + 4.06576i) q^{72} +(1.24412 - 8.65302i) q^{73} +(6.62215 - 3.30042i) q^{74} +(-10.3519 + 1.48838i) q^{75} +(-6.52066 - 0.489171i) q^{76} +(-5.24272 - 8.15783i) q^{77} +(0.996086 + 0.256082i) q^{78} +(10.9287 - 3.20895i) q^{79} +(-1.52505 - 0.459343i) q^{80} +(7.34907 - 8.48128i) q^{81} +(-0.352142 + 0.845980i) q^{82} +(-0.262178 + 0.119733i) q^{83} +(14.2726 - 14.1736i) q^{84} +(-0.380164 + 1.29472i) q^{85} +(8.07808 - 13.5611i) q^{86} +(6.02811 - 13.1997i) q^{87} +(4.82149 + 3.38504i) q^{88} +(-2.65280 - 1.70485i) q^{89} +(-0.0318598 - 0.937778i) q^{90} -1.56743i q^{91} +(2.01906 + 9.37675i) q^{92} +7.55536i q^{93} +(12.1254 - 0.411943i) q^{94} +(1.09519 + 0.703833i) q^{95} +(-4.77429 + 11.2485i) q^{96} +(-2.67106 + 5.84880i) q^{97} +(-17.8318 - 10.6221i) q^{98} +(-0.977788 + 3.33004i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) $ 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Character values

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

$n$	$47$	$93$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{11}\right)$

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 $

$2$	−1.41340	+	0.0480184i	−0.999423	+	0.0339541i
$2$	−1.41340	+	0.0480184i	−0.999423	+	0.0339541i
$3$	1.16787	−	1.81725i	0.674272	−	1.04919i	−0.320519	−	0.947242i	$-0.603857\pi$
$3$	1.16787	−	1.81725i	0.674272	−	1.04919i	0.994790	−	0.101945i	$-0.0325065\pi$
$4$	1.99539	−	0.135738i	0.997694	−	0.0678691i
$5$	−0.362199	−	0.165411i	−0.161980	−	0.0739738i	0.332775	−	0.943006i	$-0.392015\pi$
$5$	−0.362199	−	0.165411i	−0.161980	−	0.0739738i	−0.494755	+	0.869032i	$0.664742\pi$
$6$	−1.56341	+	2.62457i	−0.638258	+	1.07148i
$7$	4.46721	+	1.31169i	1.68845	+	0.495773i	0.978110	−	0.208088i	$-0.0667242\pi$
$7$	4.46721	+	1.31169i	1.68845	+	0.495773i	0.710337	+	0.703861i	$0.248542\pi$
$8$	−2.81376	+	0.287667i	−0.994815	+	0.101706i
$9$	−0.692209	−	1.51573i	−0.230736	−	0.505242i
$10$	0.519873	+	0.216399i	0.164398	+	0.0684313i
$11$	−1.57409	−	1.36396i	−0.474607	−	0.411250i	0.384437	−	0.923151i	$-0.374396\pi$
$11$	−1.57409	−	1.36396i	−0.474607	−	0.411250i	−0.859044	+	0.511902i	$0.828941\pi$
$12$	2.08369	−	3.78463i	0.601509	−	1.09253i
$13$	−0.0948485	−	0.323024i	−0.0263062	−	0.0895908i	0.945294	−	0.326221i	$-0.105775\pi$
$13$	−0.0948485	−	0.323024i	−0.0263062	−	0.0895908i	−0.971600	+	0.236630i	$0.923957\pi$
$14$	−6.37693	−	1.63943i	−1.70431	−	0.438157i
$15$	−0.723593	+	0.465025i	−0.186831	+	0.120069i
$16$	3.96315	−	0.541701i	0.990788	−	0.135425i
$17$	−0.482284	−	3.35436i	−0.116971	−	0.813551i	−0.960860	−	0.277034i	$-0.910649\pi$
$17$	−0.482284	−	3.35436i	−0.116971	−	0.813551i	0.843889	−	0.536517i	$-0.180260\pi$
$18$	1.05115	+	2.10908i	0.247758	+	0.497116i
$19$	−3.23621	−	0.465297i	−0.742438	−	0.106746i	−0.239292	−	0.970948i	$-0.576915\pi$
$19$	−3.23621	−	0.465297i	−0.742438	−	0.106746i	−0.503146	+	0.864201i	$0.667824\pi$
$20$	−0.745179	−	0.280894i	−0.166627	−	0.0628098i
$21$	7.60080	−	6.58613i	1.65863	−	1.43721i
$22$	2.29032	+	1.85223i	0.488297	+	0.394898i
$23$	0.689006	+	4.74608i	0.143668	+	0.989626i
$23$	0.689006	+	4.74608i	0.143668	+	0.989626i
$24$	−2.76335	+	5.44925i	−0.564067	+	1.11232i
$25$	−3.17048	−	3.65892i	−0.634095	−	0.731785i
$26$	0.149570	+	0.452007i	0.0293330	+	0.0886459i
$27$	2.85167	+	0.410009i	0.548805	+	0.0789062i
$28$	9.09187	+	2.01096i	1.71820	+	0.380036i
$29$	6.64920	−	0.956010i	1.23473	−	0.177527i	0.506121	−	0.862462i	$-0.331079\pi$
$29$	6.64920	−	0.956010i	1.23473	−	0.177527i	0.728604	+	0.684936i	$0.240170\pi$
$30$	1.00040	−	0.692011i	0.182646	−	0.126343i
$31$	−2.94236	+	1.89094i	−0.528463	+	0.339623i	−0.777512	−	0.628868i	$-0.783518\pi$
$31$	−2.94236	+	1.89094i	−0.528463	+	0.339623i	0.249049	+	0.968491i	$0.419882\pi$
$32$	−5.57550	+	0.955943i	−0.985618	+	0.168988i
$33$	−4.31699	+	1.26758i	−0.751492	+	0.220658i
$34$	0.842730	+	4.71788i	0.144527	+	0.809110i
$35$	−1.40105	−	1.21402i	−0.236821	−	0.205206i
$36$	−1.58697	−	2.93050i	−0.264494	−	0.488417i
$37$	−4.75911	+	2.17341i	−0.782392	+	0.357307i	−0.766233	−	0.642563i	$-0.777871\pi$
$37$	−4.75911	+	2.17341i	−0.782392	+	0.357307i	−0.0161592	+	0.999869i	$0.505144\pi$
$38$	4.59640	+	0.502252i	0.745634	+	0.0814761i
$39$	−0.697785	−	0.204888i	−0.111735	−	0.0328084i
$40$	1.06672	+	0.361233i	0.168664	+	0.0571159i
$41$	0.269169	−	0.589399i	0.0420372	−	0.0920486i	−0.887448	−	0.460907i	$-0.847524\pi$
$41$	0.269169	−	0.589399i	0.0420372	−	0.0920486i	0.929486	+	0.368859i	$0.120251\pi$
$42$	−10.4267	+	9.67380i	−1.60887	+	1.49270i
$43$	−6.03436	+	9.38965i	−0.920232	+	1.43191i	−0.0183955	+	0.999831i	$0.505856\pi$
$43$	−6.03436	+	9.38965i	−0.920232	+	1.43191i	−0.901836	+	0.432078i	$0.857781\pi$
$44$	−3.32607	−	2.50797i	−0.501424	−	0.378090i
$45$			0.663492i			0.0989076i
$46$	−1.20174	−	6.67501i	−0.177187	−	0.984177i
$47$	−8.57887			−1.25136			−0.625678	−	0.780081i	$-0.715178\pi$
$47$	−8.57887			−1.25136			−0.625678	+	0.780081i	$0.715178\pi$
$48$	3.64405	−	7.83465i	0.525973	−	1.13083i
$49$	12.3467	+	7.93472i	1.76381	+	1.13353i
$50$	4.65684	+	5.01928i	0.658577	+	0.709833i
$51$	−6.65894	−	3.04103i	−0.932438	−	0.425830i
$52$	−0.233106	−	0.631684i	−0.0323260	−	0.0875988i
$53$	−1.89523	+	6.45455i	−0.260330	+	0.886601i	0.720783	+	0.693161i	$0.243783\pi$
$53$	−1.89523	+	6.45455i	−0.260330	+	0.886601i	−0.981112	+	0.193440i	$0.938036\pi$
$54$	−4.05024	−	0.442573i	−0.551167	−	0.0602265i
$55$	0.344521	+	0.754396i	0.0464552	+	0.101723i
$56$	−12.9470	−	2.40571i	−1.73011	−	0.321477i
$57$	−4.62504	+	5.33758i	−0.612602	+	0.706980i
$58$	−9.35206	+	1.67051i	−1.22799	+	0.219348i
$59$	3.19060	+	10.8662i	0.415381	+	1.41466i	0.856005	+	0.516967i	$0.172939\pi$
$59$	3.19060	+	10.8662i	0.415381	+	1.41466i	−0.440624	+	0.897692i	$0.645243\pi$
$60$	−1.38073	+	1.02612i	−0.178251	+	0.132472i
$61$	−1.47146	−	2.28964i	−0.188402	−	0.293159i	0.734184	−	0.678950i	$-0.237565\pi$
$61$	−1.47146	−	2.28964i	−0.188402	−	0.293159i	−0.922586	+	0.385792i	$0.873928\pi$
$62$	4.06792	−	2.81394i	0.516627	−	0.357370i
$63$	−1.10408	−	7.67903i	−0.139101	−	0.967467i
$64$	7.83449	−	1.61885i	0.979312	−	0.202357i
$65$	−0.0190776	+	0.132688i	−0.00236629	+	0.0164579i
$66$	6.04076	−	1.99890i	0.743567	−	0.246047i
$67$	6.90654	−	5.98455i	0.843768	−	0.731129i	−0.121444	−	0.992598i	$-0.538752\pi$
$67$	6.90654	−	5.98455i	0.843768	−	0.731129i	0.965212	+	0.261469i	$0.0842069\pi$
$68$	−1.41766	−	6.62778i	−0.171916	−	0.803737i
$69$	9.42946	+	4.29072i	1.13517	+	0.516542i
$70$	2.03854	+	1.64861i	0.243652	+	0.197047i
$71$	3.85725	+	4.45150i	0.457771	+	0.528296i	0.936970	−	0.349411i	$-0.113618\pi$
$71$	3.85725	+	4.45150i	0.457771	+	0.528296i	−0.479199	+	0.877706i	$0.659073\pi$
$72$	2.38373	+	4.06576i	0.280926	+	0.479155i
$73$	1.24412	−	8.65302i	0.145613	−	1.01276i	−0.777680	−	0.628661i	$-0.783603\pi$
$73$	1.24412	−	8.65302i	0.145613	−	1.01276i	0.923292	−	0.384098i	$-0.125488\pi$
$74$	6.62215	−	3.30042i	0.769809	−	0.383666i
$75$	−10.3519	+	1.48838i	−1.19533	+	0.171863i
$76$	−6.52066	−	0.489171i	−0.747971	−	0.0561117i
$77$	−5.24272	−	8.15783i	−0.597463	−	0.929671i
$78$	0.996086	+	0.256082i	0.112785	+	0.0289956i
$79$	10.9287	−	3.20895i	1.22957	−	0.361035i	0.398484	−	0.917175i	$-0.369536\pi$
$79$	10.9287	−	3.20895i	1.22957	−	0.361035i	0.831089	+	0.556140i	$0.187718\pi$
$80$	−1.52505	−	0.459343i	−0.170506	−	0.0513562i
$81$	7.34907	−	8.48128i	0.816563	−	0.942364i
$82$	−0.352142	+	0.845980i	−0.0388875	+	0.0934229i
$83$	−0.262178	+	0.119733i	−0.0287778	+	0.0131424i	−0.429752	−	0.902947i	$-0.641399\pi$
$83$	−0.262178	+	0.119733i	−0.0287778	+	0.0131424i	0.400974	+	0.916089i	$0.368672\pi$
$84$	14.2726	−	14.1736i	1.55726	−	1.54647i
$85$	−0.380164	+	1.29472i	−0.0412345	+	0.140432i
$86$	8.07808	−	13.5611i	0.871082	−	1.46233i
$87$	6.02811	−	13.1997i	0.646281	−	1.41516i
$88$	4.82149	+	3.38504i	0.513973	+	0.360847i
$89$	−2.65280	−	1.70485i	−0.281197	−	0.180714i	0.392438	−	0.919778i	$-0.371632\pi$
$89$	−2.65280	−	1.70485i	−0.281197	−	0.180714i	−0.673635	+	0.739064i	$0.735268\pi$
$90$	−0.0318598	−	0.937778i	−0.00335832	−	0.0988505i
$91$		−	1.56743i		−	0.164311i
$92$	2.01906	+	9.37675i	0.210501	+	0.977594i
$93$			7.55536i			0.783454i
$94$	12.1254	−	0.411943i	1.25064	−	0.0424887i
$95$	1.09519	+	0.703833i	0.112364	+	0.0722118i
$96$	−4.77429	+	11.2485i	−0.487274	+	1.14804i
$97$	−2.67106	+	5.84880i	−0.271205	+	0.593856i	−0.995407	−	0.0957319i	$-0.969481\pi$
$97$	−2.67106	+	5.84880i	−0.271205	+	0.593856i	0.724202	+	0.689587i	$0.242208\pi$
$98$	−17.8318	−	10.6221i	−1.80128	−	1.07299i
$99$	−0.977788	+	3.33004i	−0.0982714	+	0.334682i
$100$	−6.82299	−	6.87062i	−0.682299	−	0.687062i
$101$	−3.63931	+	1.66202i	−0.362125	+	0.165377i	−0.588165	−	0.808741i	$-0.700149\pi$
$101$	−3.63931	+	1.66202i	−0.362125	+	0.165377i	0.226040	+	0.974118i	$0.427422\pi$
$102$	9.55775	+	3.97844i	0.946359	+	0.393924i
$103$	−13.1981	+	15.2314i	−1.30045	+	1.50080i	−0.560442	+	0.828194i	$0.689369\pi$
$103$	−13.1981	+	15.2314i	−1.30045	+	1.50080i	−0.740005	+	0.672601i	$0.765177\pi$
$104$	0.359804	+	0.881628i	0.0352817	+	0.0864507i
$105$	−3.84241	+	1.12823i	−0.374981	+	0.110104i
$106$	2.36877	−	9.21386i	0.230076	−	0.894929i
$107$	8.08811	+	12.5854i	0.781908	+	1.21667i	0.972017	+	0.234909i	$0.0754792\pi$
$107$	8.08811	+	12.5854i	0.781908	+	1.21667i	−0.190110	+	0.981763i	$0.560884\pi$
$108$	5.74585	+	0.431046i	0.552895	+	0.0414774i
$109$	−7.24438	+	1.04158i	−0.693886	+	0.0997657i	−0.480229	−	0.877143i	$-0.659446\pi$
$109$	−7.24438	+	1.04158i	−0.693886	+	0.0997657i	−0.213657	+	0.976909i	$0.568537\pi$
$110$	−0.523171	−	1.04972i	−0.0498824	−	0.100087i
$111$	−1.60841	+	11.1867i	−0.152663	+	1.06180i
$112$	18.4148	+	2.77854i	1.74003	+	0.262547i
$113$	−7.03203	−	8.11540i	−0.661518	−	0.763433i	0.321506	−	0.946907i	$-0.395811\pi$
$113$	−7.03203	−	8.11540i	−0.661518	−	0.763433i	−0.983024	+	0.183475i	$0.941265\pi$
$114$	6.28072	−	7.76621i	0.588244	−	0.727373i
$115$	0.535495	−	1.83299i	0.0499351	−	0.170927i
$116$	13.1380	−	2.81016i	1.21983	−	0.260917i
$117$	−0.423961	+	0.367364i	−0.0391952	+	0.0339628i
$118$	−5.03137	−	15.2051i	−0.463175	−	1.39974i
$119$	2.24542	−	15.6172i	0.205837	−	1.43163i
$120$	1.90225	−	1.51662i	0.173650	−	0.138448i
$121$	−0.948078	−	6.59403i	−0.0861889	−	0.599457i
$122$	2.18971	+	3.16552i	0.198247	+	0.286593i
$123$	−0.756727	−	1.17749i	−0.0682317	−	0.106171i
$124$	−5.61447	+	4.17255i	−0.504195	+	0.374706i
$125$	1.10402	+	3.75995i	0.0987466	+	0.336300i
$126$	1.92924	+	10.8005i	0.171870	+	0.962186i
$127$	0.0565584	−	0.0652718i	0.00501874	−	0.00579194i	−0.753235	−	0.657752i	$-0.771508\pi$
$127$	0.0565584	−	0.0652718i	0.00501874	−	0.00579194i	0.758253	+	0.651960i	$0.226053\pi$
$128$	−10.9955	+	2.66429i	−0.971876	+	0.235492i
$129$	10.0159	+	21.9318i	0.881854	+	1.93099i
$130$	0.0205928	−	0.188457i	0.00180611	−	0.0165288i
$131$	4.17012	−	14.2021i	0.364345	−	1.24085i	−0.549744	−	0.835333i	$-0.685275\pi$
$131$	4.17012	−	14.2021i	0.364345	−	1.24085i	0.914089	−	0.405513i	$-0.132907\pi$
$132$	−8.44202	+	3.11530i	−0.734783	+	0.271152i
$133$	−13.8465	−	6.32349i	−1.20065	−	0.548316i
$134$	−9.47432	+	8.79019i	−0.818457	+	0.759357i
$135$	−0.965052	−	0.620201i	−0.0830584	−	0.0533784i
$136$	2.32197	+	9.29962i	0.199107	+	0.797436i
$137$	−12.0183			−1.02679			−0.513397	−	0.858151i	$-0.671613\pi$
$137$	−12.0183			−1.02679			−0.513397	+	0.858151i	$0.671613\pi$
$138$	−13.5336	−	5.61171i	−1.15206	−	0.477701i
$139$		−	21.2392i		−	1.80148i	−0.434354	−	0.900742i	$-0.643023\pi$
$139$		−	21.2392i		−	1.80148i	0.434354	−	0.900742i	$-0.356977\pi$
$140$	−2.96043	−	2.23226i	−0.250202	−	0.188660i
$141$	−10.0190	+	15.5899i	−0.843754	+	1.31291i
$142$	−5.66558	−	6.10652i	−0.475445	−	0.512448i
$143$	−0.291292	+	0.637840i	−0.0243591	+	0.0533389i
$144$	−3.56440	−	5.63208i	−0.297033	−	0.469340i
$145$	−2.56646	−	0.753582i	−0.213133	−	0.0625816i
$146$	−1.34293	+	12.2899i	−0.111141	+	1.01712i
$147$	28.8387	−	13.1702i	2.37857	−	1.08626i
$148$	−9.20125	+	4.98279i	−0.756338	+	0.409583i
$149$	−8.90489	−	7.71613i	−0.729517	−	0.632130i	0.208779	−	0.977963i	$-0.433051\pi$
$149$	−8.90489	−	7.71613i	−0.729517	−	0.632130i	−0.938296	+	0.345833i	$0.887596\pi$
$150$	14.5599	−	2.60075i	1.18881	−	0.212350i
$151$	−5.32524	+	1.56363i	−0.433362	+	0.127247i	−0.491136	−	0.871083i	$-0.663418\pi$
$151$	−5.32524	+	1.56363i	−0.433362	+	0.127247i	0.0577736	+	0.998330i	$0.481600\pi$
$152$	9.23977	+	0.378281i	0.749445	+	0.0306827i
$153$	−4.75044	+	3.05292i	−0.384051	+	0.246814i
$154$	7.80177	+	11.2785i	0.628685	+	0.908849i
$155$	1.37850	−	0.198198i	0.110724	−	0.0159197i
$156$	−1.42016	−	0.314115i	−0.113704	−	0.0251494i
$157$	11.8786	+	1.70788i	0.948015	+	0.136304i	0.598943	−	0.800792i	$-0.295588\pi$
$157$	11.8786	+	1.70788i	0.948015	+	0.136304i	0.349072	+	0.937096i	$0.386497\pi$
$158$	−15.2925	+	5.06030i	−1.21661	+	0.402576i
$159$	9.51612	+	10.9822i	0.754677	+	0.870944i
$160$	2.17756	+	0.576005i	0.172151	+	0.0455372i
$161$	−3.14746	+	22.1055i	−0.248055	+	1.74216i
$162$	−9.97991	+	12.3403i	−0.784095	+	0.969547i
$163$	−7.14987	+	6.19540i	−0.560021	+	0.485261i	−0.888265	−	0.459332i	$-0.848089\pi$
$163$	−7.14987	+	6.19540i	−0.560021	+	0.485261i	0.328243	+	0.944593i	$0.393543\pi$
$164$	0.457094	−	1.21262i	0.0356930	−	0.0946894i
$165$	1.77328	+	0.254959i	0.138050	+	0.0198485i
$166$	0.364812	−	0.181819i	0.0283149	−	0.0141119i
$167$	−2.52734	−	17.5780i	−0.195571	−	1.36023i	−0.816946	−	0.576715i	$-0.804334\pi$
$167$	−2.52734	−	17.5780i	−0.195571	−	1.36023i	0.621374	−	0.783514i	$-0.286575\pi$
$168$	−19.4922	+	20.7183i	−1.50386	+	1.59845i
$169$	10.8409	−	6.96705i	0.833919	−	0.535927i
$170$	0.475152	−	1.84821i	0.0364425	−	0.141751i
$171$	1.53487	+	5.22729i	0.117375	+	0.399741i
$172$	−10.7664	+	19.5551i	−0.820928	+	1.49106i
$173$	−11.8764	−	10.2909i	−0.902943	−	0.782405i	0.0736982	−	0.997281i	$-0.476520\pi$
$173$	−11.8764	−	10.2909i	−0.902943	−	0.782405i	−0.976641	+	0.214876i	$0.931065\pi$
$174$	−7.88629	+	18.9459i	−0.597858	+	1.43629i
$175$	−9.36381	−	20.5039i	−0.707837	−	1.54995i
$176$	−6.97723	−	4.55289i	−0.525929	−	0.343187i
$177$	23.4728	+	6.89222i	1.76432	+	0.518051i
$178$	3.83133	+	2.28225i	0.287170	+	0.171062i
$179$	18.4051	+	8.40533i	1.37566	+	0.628244i	0.959671	−	0.281125i	$-0.0907074\pi$
$179$	18.4051	+	8.40533i	1.37566	+	0.628244i	0.415991	+	0.909369i	$0.363435\pi$
$180$	0.0900612	+	1.32392i	0.00671277	+	0.0986795i
$181$	2.69209	−	4.18898i	0.200102	−	0.311364i	−0.726672	−	0.686985i	$-0.758934\pi$
$181$	2.69209	−	4.18898i	0.200102	−	0.311364i	0.926774	+	0.375620i	$0.122570\pi$
$182$	0.0752654	+	2.21540i	0.00557905	+	0.164217i
$183$	−5.87932			−0.434612
$184$	−3.30399	−	13.1561i	−0.243573	−	0.969882i
$185$	2.08325			0.153163
$186$	−0.362796	−	10.6787i	−0.0266015	−	0.783002i
$187$	−3.81605	+	5.93789i	−0.279057	+	0.434222i
$188$	−17.1182	+	1.16448i	−1.24847	+	0.0849284i
$189$	12.2012	+	5.57211i	0.887508	+	0.405311i
$190$	−1.58173	−	0.942208i	−0.114751	−	0.0683549i
$191$	20.7902	+	6.10457i	1.50433	+	0.441711i	0.927082	−	0.374859i	$-0.122309\pi$
$191$	20.7902	+	6.10457i	1.50433	+	0.441711i	0.577247	+	0.816569i	$0.304127\pi$
$192$	6.20784	−	16.1278i	0.448012	−	1.16392i
$193$	−0.715069	−	1.56578i	−0.0514718	−	0.112708i	0.882149	−	0.470971i	$-0.156096\pi$
$193$	−0.715069	−	1.56578i	−0.0514718	−	0.112708i	−0.933621	+	0.358263i	$0.883369\pi$
$194$	3.49442	−	8.39494i	0.250885	−	0.602722i
$195$	0.218846	+	0.189631i	0.0156719	+	0.0135798i
$196$	25.7135	+	14.1569i	1.83668	+	1.01121i
$197$	−1.33692	−	4.55314i	−0.0952517	−	0.324398i	0.898058	−	0.439877i	$-0.144978\pi$
$197$	−1.33692	−	4.55314i	−0.0952517	−	0.324398i	−0.993310	+	0.115479i	$0.963160\pi$
$198$	1.22210	−	4.75362i	0.0868509	−	0.337825i
$199$	−7.11997	+	4.57572i	−0.504721	+	0.324364i	−0.768102	−	0.640327i	$-0.778799\pi$
$199$	−7.11997	+	4.57572i	−0.504721	+	0.324364i	0.263381	+	0.964692i	$0.415162\pi$
$200$	9.97351	+	9.38330i	0.705234	+	0.663499i
$201$	−2.80944	−	19.5401i	−0.198162	−	1.37825i
$202$	5.06398	−	2.52384i	0.356301	−	0.177577i
$203$	30.9574	+	4.45100i	2.17278	+	0.312399i
$204$	−13.6999	−	5.16417i	−0.959188	−	0.361564i
$205$	−0.194986	+	0.168956i	−0.0136184	+	0.0118004i
$206$	17.9228	−	22.1618i	1.24874	−	1.54409i
$207$	6.71682	−	4.32962i	0.466851	−	0.300929i
$208$	−0.550881	−	1.22881i	−0.0381967	−	0.0852029i
$209$	4.45946	+	5.14649i	0.308467	+	0.355990i
$210$	5.37668	−	1.77915i	0.371026	−	0.122773i
$211$	−25.1324	−	3.61350i	−1.73019	−	0.248763i	−0.795937	−	0.605380i	$-0.793021\pi$
$211$	−25.1324	−	3.61350i	−1.73019	−	0.248763i	−0.934251	+	0.356616i	$0.883930\pi$
$212$	−2.90559	+	13.1366i	−0.199556	+	0.902225i
$213$	12.5942	−	1.81078i	0.862943	−	0.124072i
$214$	−12.0361	−	17.3997i	−0.822768	−	1.18942i
$215$	3.73878	−	2.40277i	0.254983	−	0.163868i
$216$	−8.14187	−	0.333333i	−0.553984	−	0.0226804i
$217$	−15.6245	+	4.58776i	−1.06066	+	0.311437i
$218$	10.1892	−	1.82004i	0.690098	−	0.123268i
$219$	−14.2717	−	12.3665i	−0.964391	−	0.835649i
$220$	0.789854	+	1.45855i	0.0532520	+	0.0983354i
$221$	−1.03779	+	0.473945i	−0.0698096	+	0.0318810i
$222$	1.73615	−	15.8885i	0.116523	−	1.06637i
$223$	−4.86202	−	1.42762i	−0.325585	−	0.0956004i	0.114855	−	0.993382i	$-0.463360\pi$
$223$	−4.86202	−	1.42762i	−0.325585	−	0.0956004i	−0.440440	+	0.897782i	$0.645178\pi$
$224$	−26.1608	−	3.04293i	−1.74794	−	0.203315i
$225$	−3.35129	+	7.33831i	−0.223420	+	0.489221i
$226$	10.3288	+	11.1326i	0.687058	+	0.740531i
$227$	0.148780	−	0.231507i	0.00987489	−	0.0153656i	−0.836281	−	0.548301i	$-0.815275\pi$
$227$	0.148780	−	0.231507i	0.00987489	−	0.0153656i	0.846156	+	0.532935i	$0.178911\pi$
$228$	−8.50424	+	11.2783i	−0.563207	+	0.746927i
$229$			13.7586i			0.909192i	0.890698	+	0.454596i	$0.150216\pi$
$229$			13.7586i			0.909192i	−0.890698	+	0.454596i	$0.849784\pi$
$230$	−0.668850	+	2.61646i	−0.0441027	+	0.172524i
$231$	−20.9476			−1.37825
$232$	−18.4342	+	4.60274i	−1.21027	+	0.302185i
$233$	12.8360	+	8.24918i	0.840913	+	0.540422i	0.888728	−	0.458434i	$-0.151590\pi$
$233$	12.8360	+	8.24918i	0.840913	+	0.540422i	−0.0478156	+	0.998856i	$0.515226\pi$
$234$	0.581585	−	0.539590i	0.0380194	−	0.0352741i
$235$	3.10725	+	1.41904i	0.202695	+	0.0925676i
$236$	7.84145	+	21.2492i	0.510435	+	1.38320i
$237$	6.93186	−	23.6077i	0.450273	−	1.53349i
$238$	−2.42376	+	22.1812i	−0.157109	+	1.43779i
$239$	−0.183029	−	0.400778i	−0.0118392	−	0.0259241i	0.903620	−	0.428335i	$-0.140900\pi$
$239$	−0.183029	−	0.400778i	−0.0118392	−	0.0259241i	−0.915459	+	0.402411i	$0.868172\pi$
$240$	−2.61580	+	2.23494i	−0.168849	+	0.144264i
$241$	6.97334	−	8.04766i	0.449192	−	0.518395i	−0.485315	−	0.874339i	$-0.661295\pi$
$241$	6.97334	−	8.04766i	0.449192	−	0.518395i	0.934507	+	0.355944i	$0.115841\pi$
$242$	1.65665	+	9.27446i	0.106493	+	0.596185i
$243$	−4.39478	−	14.9672i	−0.281925	−	0.960148i
$244$	−3.24693	−	4.36899i	−0.207864	−	0.279696i
$245$	−3.15946	−	4.91622i	−0.201850	−	0.314085i
$246$	1.12610	+	1.62792i	0.0717973	+	0.103793i
$247$	0.156647	+	1.08951i	0.00996724	+	0.0693237i
$248$	7.73513	−	6.16707i	0.491181	−	0.391609i
$249$	−0.0886068	+	0.616274i	−0.00561523	+	0.0390548i
$250$	−1.74097	−	5.26129i	−0.110108	−	0.332753i
$251$	−6.85725	+	5.94184i	−0.432826	+	0.375046i	−0.843850	−	0.536579i	$-0.819716\pi$
$251$	−6.85725	+	5.94184i	−0.432826	+	0.375046i	0.411025	+	0.911624i	$0.365171\pi$
$252$	−3.24540	−	15.1728i	−0.204441	−	0.955795i
$253$	5.38891	−	8.41056i	0.338798	−	0.528767i
$254$	−0.0768053	+	0.0949709i	−0.00481919	+	0.00595901i
$255$	1.90884	+	2.20292i	0.119536	+	0.137952i
$256$	15.4131	−	4.29368i	0.963320	−	0.268355i
$257$	−1.13592	+	7.90051i	−0.0708569	+	0.492820i	0.923231	+	0.384245i	$0.125538\pi$
$257$	−1.13592	+	7.90051i	−0.0708569	+	0.492820i	−0.994088	+	0.108576i	$0.965371\pi$
$258$	−15.2096	−	30.5175i	−0.946910	−	1.89993i
$259$	−24.1108	+	3.46661i	−1.49817	+	0.215404i
$260$	−0.0200565	+	0.267353i	−0.00124385	+	0.0165805i
$261$	−6.05168	−	9.41660i	−0.374590	−	0.582873i
$262$	−5.21208	+	20.2735i	−0.322003	+	1.25250i
$263$	−1.05905	+	0.310965i	−0.0653037	+	0.0191749i	−0.314221	−	0.949350i	$-0.601743\pi$
$263$	−1.05905	+	0.310965i	−0.0653037	+	0.0191749i	0.248918	+	0.968525i	$0.419925\pi$
$264$	11.7823	−	4.80853i	0.725153	−	0.295945i
$265$	1.75410	−	2.02434i	0.107753	−	0.124354i
$266$	19.8743	+	8.27272i	1.21857	+	0.507233i
$267$	−6.19627	+	2.82974i	−0.379206	+	0.173177i
$268$	12.9689	−	12.8790i	0.792202	−	0.786709i
$269$	7.36897	−	25.0964i	0.449294	−	1.53016i	−0.354389	−	0.935098i	$-0.615311\pi$
$269$	7.36897	−	25.0964i	0.449294	−	1.53016i	0.803683	−	0.595058i	$-0.202871\pi$
$270$	1.39378	+	0.830251i	0.0848230	+	0.0505275i
$271$	−1.17144	+	2.56509i	−0.0711599	+	0.155818i	−0.941869	−	0.335979i	$-0.890933\pi$
$271$	−1.17144	+	2.56509i	−0.0711599	+	0.155818i	0.870709	+	0.491798i	$0.163660\pi$
$272$	−3.72842	−	13.0326i	−0.226069	−	0.790216i
$273$	−2.84840	−	1.83056i	−0.172393	−	0.110790i
$274$	16.9867	−	0.577100i	1.02620	−	0.0348639i
$275$			10.0839i			0.608082i
$276$	19.3979	+	7.28172i	1.16761	+	0.438308i
$277$			8.50250i			0.510865i	0.966827	+	0.255433i	$0.0822179\pi$
$277$			8.50250i			0.510865i	−0.966827	+	0.255433i	$0.917782\pi$
$278$	1.01987	+	30.0194i	0.0611678	+	1.80045i
$279$	4.90287	+	3.15088i	0.293527	+	0.188638i
$280$	4.29145	+	3.01292i	0.256463	+	0.180056i
$281$	−4.68257	+	10.2534i	−0.279339	+	0.611666i	−0.996347	−	0.0853985i	$-0.972784\pi$
$281$	−4.68257	+	10.2534i	−0.279339	+	0.611666i	0.717008	+	0.697065i	$0.245511\pi$
$282$	13.4123	−	22.5158i	0.798689	−	1.34080i
$283$	7.18321	−	24.4638i	0.426998	−	1.45422i	−0.412550	−	0.910935i	$-0.635362\pi$
$283$	7.18321	−	24.4638i	0.426998	−	1.45422i	0.839548	−	0.543286i	$-0.182820\pi$
$284$	8.30094	+	8.35889i	0.492570	+	0.496009i
$285$	2.55808	−	1.16823i	0.151527	−	0.0692002i
$286$	0.381083	−	0.915510i	0.0225339	−	0.0541352i
$287$	1.97555	−	2.27990i	0.116613	−	0.134578i
$288$	5.30835	+	7.78921i	0.312798	+	0.458984i
$289$	5.29226	−	1.55395i	0.311310	−	0.0914088i
$290$	3.66362	+	0.941874i	0.215135	+	0.0553087i
$291$	7.50925	+	11.6846i	0.440200	+	0.684964i
$292$	1.30795	−	17.4350i	0.0765420	−	1.02031i
$293$	2.75426	−	0.396002i	0.160905	−	0.0231347i	−0.0613913	−	0.998114i	$-0.519554\pi$
$293$	2.75426	−	0.396002i	0.160905	−	0.0231347i	0.222297	+	0.974979i	$0.428645\pi$
$294$	−40.1281	+	19.9995i	−2.34032	+	1.16639i
$295$	0.641752	−	4.46348i	0.0373642	−	0.259874i
$296$	12.7658	−	7.48450i	0.741995	−	0.435028i
$297$	−3.92957	−	4.53496i	−0.228017	−	0.263145i
$298$	12.9567	+	10.4784i	0.750560	+	0.606996i
$299$	1.46775	−	0.672724i	0.0848820	−	0.0389046i
$300$	−20.4540	+	4.37503i	−1.18091	+	0.252593i
$301$	−39.2731	+	34.0303i	−2.26366	+	1.96148i
$302$	7.45160	−	2.46574i	0.428791	−	0.141888i
$303$	−1.22996	+	8.55453i	−0.0706591	+	0.491445i
$304$	−13.0776	−	0.0909832i	−0.750054	−	0.00521825i
$305$	0.154231	+	1.07270i	0.00883124	+	0.0614227i
$306$	6.56767	−	4.54311i	0.375449	−	0.259712i
$307$	12.9051	+	20.0808i	0.736535	+	1.14607i	0.984172	+	0.177218i	$0.0567098\pi$
$307$	12.9051	+	20.0808i	0.736535	+	1.14607i	−0.247636	+	0.968853i	$0.579654\pi$
$308$	−11.5686	−	15.5664i	−0.659182	−	0.886978i
$309$	12.2655	+	41.7725i	0.697761	+	2.37636i
$310$	−1.93885	+	0.346326i	−0.110119	+	0.0196700i
$311$	12.3260	−	14.2249i	0.698941	−	0.806621i	−0.289668	−	0.957127i	$-0.593545\pi$
$311$	12.3260	−	14.2249i	0.698941	−	0.806621i	0.988609	+	0.150506i	$0.0480904\pi$
$312$	2.02234	+	0.375776i	0.114492	+	0.0212741i
$313$	−12.3845	−	27.1182i	−0.700011	−	1.53281i	−0.839959	−	0.542651i	$-0.817421\pi$
$313$	−12.3845	−	27.1182i	−0.700011	−	1.53281i	0.139948	−	0.990159i	$-0.455306\pi$
$314$	−16.8712	−	1.84353i	−0.952096	−	0.104036i
$315$	−0.870297	+	2.96396i	−0.0490357	+	0.167000i
$316$	21.3714	−	7.88654i	1.20223	−	0.443653i
$317$	−2.36850	−	1.08166i	−0.133028	−	0.0607520i	0.347789	−	0.937573i	$-0.386933\pi$
$317$	−2.36850	−	1.08166i	−0.133028	−	0.0607520i	−0.480817	+	0.876821i	$0.659660\pi$
$318$	−13.9774	−	15.0653i	−0.783814	−	0.844817i
$319$	−11.7704	−	7.56440i	−0.659018	−	0.423525i
$320$	−3.10542	−	0.709561i	−0.173598	−	0.0396657i
$321$	32.3166			1.80373
$322$	3.38714	−	31.3950i	0.188758	−	1.74958i
$323$			11.0798i			0.616497i
$324$	13.5130	−	17.9210i	0.750723	−	0.995611i
$325$	−0.881206	+	1.37118i	−0.0488805	+	0.0760596i
$326$	9.80812	−	9.09989i	0.543222	−	0.503996i
$327$	−6.56770	+	14.3812i	−0.363194	+	0.795285i
$328$	−0.587827	+	1.73586i	−0.0324573	+	0.0958467i
$329$	−38.3236	−	11.2528i	−2.11285	−	0.620389i
$330$	−2.51859	−	0.275209i	−0.138644	−	0.0151497i
$331$	−0.838379	+	0.382875i	−0.0460815	+	0.0210447i	−0.438322	−	0.898818i	$-0.644427\pi$
$331$	−0.838379	+	0.382875i	−0.0460815	+	0.0210447i	0.392241	+	0.919862i	$0.371700\pi$
$332$	−0.506894	+	0.274501i	−0.0278194	+	0.0150652i
$333$	6.58859	+	5.70904i	0.361052	+	0.312854i
$334$	4.41621	+	24.7234i	0.241644	+	1.35280i
$335$	−3.49145	+	1.02518i	−0.190758	+	0.0560116i
$336$	26.5554	−	30.2192i	1.44872	−	1.64859i
$337$	5.82403	−	3.74287i	0.317255	−	0.203887i	−0.372315	−	0.928106i	$-0.621436\pi$
$337$	5.82403	−	3.74287i	0.317255	−	0.203887i	0.689570	+	0.724219i	$0.257800\pi$
$338$	−14.9880	+	10.3678i	−0.815241	+	0.563933i
$339$	−22.9602	+	3.30118i	−1.24703	+	0.179295i
$340$	−0.582831	+	2.63507i	−0.0316085	+	0.142907i
$341$	7.21071	+	1.03674i	0.390482	+	0.0561428i
$342$	−2.42039	−	7.31454i	−0.130880	−	0.395525i
$343$	23.4050	+	27.0108i	1.26375	+	1.45844i
$344$	14.2782	−	28.1561i	0.769827	−	1.51808i
$345$	−2.70561	−	3.11383i	−0.145665	−	0.167643i
$346$	17.2802	+	13.9749i	0.928988	+	0.751295i
$347$	9.54787	−	8.27328i	0.512557	−	0.444133i	−0.359781	−	0.933037i	$-0.617149\pi$
$347$	9.54787	−	8.27328i	0.512557	−	0.444133i	0.872338	+	0.488904i	$0.162603\pi$
$348$	10.2367	−	27.1568i	0.548746	−	1.45576i
$349$	21.1258	+	3.03742i	1.13084	+	0.162590i	0.682228	−	0.731139i	$-0.261011\pi$
$349$	21.1258	+	3.03742i	1.13084	+	0.162590i	0.448607	+	0.893729i	$0.351920\pi$
$350$	14.2194	+	28.5305i	0.760056	+	1.52502i
$351$	−0.138034	−	0.960048i	−0.00736771	−	0.0512436i
$352$	10.0802	+	6.10002i	0.537278	+	0.325132i
$353$	16.4543	−	10.5745i	0.875772	−	0.562824i	−0.0237412	−	0.999718i	$-0.507558\pi$
$353$	16.4543	−	10.5745i	0.875772	−	0.562824i	0.899513	+	0.436894i	$0.143921\pi$
$354$	−33.5073	−	8.61433i	−1.78089	−	0.457847i
$355$	−0.660764	−	2.25036i	−0.0350697	−	0.119436i
$356$	−5.52479	−	3.04176i	−0.292813	−	0.161213i
$357$	−25.7580	−	22.3194i	−1.36326	−	1.18127i
$358$	−26.4174	−	10.9963i	−1.39620	−	0.581172i
$359$	3.46006	+	7.57648i	0.182615	+	0.399871i	0.978695	−	0.205320i	$-0.0658237\pi$
$359$	3.46006	+	7.57648i	0.182615	+	0.399871i	−0.796080	+	0.605192i	$0.793096\pi$
$360$	−0.190865	−	1.86691i	−0.0100595	−	0.0983947i
$361$	−7.97380	−	2.34132i	−0.419674	−	0.123227i
$362$	−3.60385	+	6.04997i	−0.189414	+	0.317979i
$363$	−13.0902	−	5.97809i	−0.687057	−	0.313769i
$364$	−0.212760	−	3.12763i	−0.0111517	−	0.163932i
$365$	−1.88192	+	2.92832i	−0.0985040	+	0.153275i
$366$	8.30982	−	0.282316i	0.434361	−	0.0147569i
$367$	11.8042			0.616173			0.308086	−	0.951358i	$-0.400311\pi$
$367$	11.8042			0.616173			0.308086	+	0.951358i	$0.400311\pi$
$368$	5.30159	+	18.4362i	0.276364	+	0.961053i
$369$	−1.07969			−0.0562063
$370$	−2.94446	+	0.100034i	−0.153075	+	0.00520053i
$371$	−16.9328	+	26.3479i	−0.879105	+	1.36791i
$372$	1.02555	+	15.0759i	0.0531723	+	0.781648i
$373$	4.33705	+	1.98067i	0.224564	+	0.102555i	0.524520	−	0.851398i	$-0.324245\pi$
$373$	4.33705	+	1.98067i	0.224564	+	0.102555i	−0.299956	+	0.953953i	$0.596972\pi$
$374$	5.10847	−	8.57585i	0.264153	−	0.443447i
$375$	8.12210	+	2.38486i	0.419424	+	0.123154i
$376$	24.1389	−	2.46786i	1.24487	−	0.127270i
$377$	−0.939481	−	2.05718i	−0.0483857	−	0.105950i
$378$	−17.5127	−	7.28973i	−0.900758	−	0.374943i
$379$	−5.28770	−	4.58182i	−0.271611	−	0.235352i	0.508396	−	0.861124i	$-0.330239\pi$
$379$	−5.28770	−	4.58182i	−0.271611	−	0.235352i	−0.780006	+	0.625771i	$0.784784\pi$
$380$	2.28086	+	1.25576i	0.117006	+	0.0644192i
$381$	−0.0525620	−	0.179010i	−0.00269283	−	0.00917094i
$382$	−29.6780	−	7.62987i	−1.51846	−	0.390378i
$383$	−0.569417	+	0.365942i	−0.0290958	+	0.0186988i	−0.555108	−	0.831778i	$-0.687323\pi$
$383$	−0.569417	+	0.365942i	−0.0290958	+	0.0186988i	0.526012	+	0.850477i	$0.323687\pi$
$384$	−7.99971	+	23.0931i	−0.408234	+	1.17847i
$385$	0.549514	+	3.82195i	0.0280058	+	0.194785i
$386$	1.08586	+	2.17874i	0.0552690	+	0.110895i
$387$	18.4092	+	2.64684i	0.935791	+	0.134546i
$388$	−4.53589	+	12.0332i	−0.230275	+	0.610893i
$389$	13.9660	−	12.1016i	0.708105	−	0.613577i	−0.224500	−	0.974474i	$-0.572075\pi$
$389$	13.9660	−	12.1016i	0.708105	−	0.613577i	0.932606	+	0.360897i	$0.117530\pi$
$390$	−0.318422	−	0.257516i	−0.0161239	−	0.0130398i
$391$	15.5878	−	4.60013i	0.788306	−	0.232638i
$392$	−37.0231	−	18.7747i	−1.86995	−	0.948264i
$393$	−20.9386	−	24.1644i	−1.05621	−	1.21893i
$394$	2.10824	+	6.37120i	0.106211	+	0.320976i
$395$	−4.48915	−	0.645442i	−0.225873	−	0.0324757i
$396$	−1.49905	+	6.77745i	−0.0753303	+	0.340580i
$397$	21.8894	−	3.14723i	1.09860	−	0.157955i	0.430910	−	0.902395i	$-0.358193\pi$
$397$	21.8894	−	3.14723i	1.09860	−	0.157955i	0.667689	+	0.744440i	$0.267284\pi$
$398$	9.84363	−	6.80921i	0.493416	−	0.341315i
$399$	−27.6623	+	17.7775i	−1.38485	+	0.889987i
$400$	−14.5471	−	12.7834i	−0.727356	−	0.639171i
$401$	10.7634	−	3.16043i	0.537501	−	0.157825i	−0.00170484	−	0.999999i	$-0.500543\pi$
$401$	10.7634	−	3.16043i	0.537501	−	0.157825i	0.539206	+	0.842174i	$0.318724\pi$
$402$	4.90914	+	27.4830i	0.244845	+	1.37073i
$403$	0.889897	+	0.771100i	0.0443289	+	0.0384112i
$404$	−7.03623	+	3.81036i	−0.350066	+	0.189572i
$405$	−4.06472	+	1.85629i	−0.201977	+	0.0922400i
$406$	−43.9688	−	4.80451i	−2.18214	−	0.238444i
$407$	10.4557	+	3.07008i	0.518271	+	0.152178i
$408$	19.6115	+	6.64118i	0.970912	+	0.328788i
$409$	−4.98012	+	10.9049i	−0.246251	+	0.539215i	−0.991885	−	0.127142i	$-0.959420\pi$
$409$	−4.98012	+	10.9049i	−0.246251	+	0.539215i	0.745633	+	0.666356i	$0.232147\pi$
$410$	0.267479	−	0.248165i	0.0132099	−	0.0122560i
$411$	−14.0359	+	21.8402i	−0.692338	+	1.07730i
$412$	−24.2678	+	32.1841i	−1.19559	+	1.58559i
$413$			52.7267i			2.59451i
$414$	−9.28564	+	6.44201i	−0.456364	+	0.316607i
$415$	0.114765			0.00563361
$416$	0.837620	+	1.71035i	0.0410677	+	0.0838569i
$417$	−38.5968	−	24.8047i	−1.89009	−	1.21469i
$418$	−6.55011	−	7.05990i	−0.320377	−	0.345311i
$419$	−28.3627	−	12.9528i	−1.38561	−	0.632785i	−0.423609	−	0.905845i	$-0.639237\pi$
$419$	−28.3627	−	12.9528i	−1.38561	−	0.632785i	−0.961997	+	0.273060i	$0.911964\pi$
$420$	−7.51396	+	2.77283i	−0.366644	+	0.135300i
$421$	2.70878	−	9.22526i	0.132018	−	0.449612i	−0.866777	−	0.498696i	$-0.833812\pi$
$421$	2.70878	−	9.22526i	0.132018	−	0.449612i	0.998795	+	0.0490847i	$0.0156304\pi$
$422$	35.6956	+	3.90049i	1.73764	+	0.189873i
$423$	5.93837	+	13.0032i	0.288733	+	0.632238i
$424$	3.47595	−	18.7068i	0.168807	−	0.908481i
$425$	−10.7443	+	12.3996i	−0.521174	+	0.601467i
$426$	−17.7137	+	3.16411i	−0.858233	+	0.153301i
$427$	−3.57004	−	12.1584i	−0.172766	−	0.588387i
$428$	17.8472	+	24.0148i	0.862679	+	1.16080i
$429$	0.818920	+	1.27426i	0.0395378	+	0.0615221i
$430$	−5.16901	+	3.57560i	−0.249272	+	0.172431i
$431$	5.13106	+	35.6873i	0.247155	+	1.71900i	0.614503	+	0.788914i	$0.289357\pi$
$431$	5.13106	+	35.6873i	0.247155	+	1.71900i	−0.367348	+	0.930083i	$0.619734\pi$
$432$	11.5237	+	0.0801723i	0.554435	+	0.00385729i
$433$	−3.29788	+	22.9372i	−0.158486	+	1.10229i	0.742940	+	0.669358i	$0.233431\pi$
$433$	−3.29788	+	22.9372i	−0.158486	+	1.10229i	−0.901425	+	0.432934i	$0.857478\pi$
$434$	21.8633	−	7.23459i	1.04947	−	0.347271i
$435$	−4.36675	+	3.78381i	−0.209369	+	0.181420i
$436$	−14.3140	+	3.06170i	−0.685515	+	0.146629i
$437$	−0.0214314	−	15.6799i	−0.00102520	−	0.750072i
$438$	20.7654	+	16.7935i	0.992209	+	0.802423i
$439$	−8.40880	−	9.70428i	−0.401330	−	0.463160i	0.518729	−	0.854939i	$-0.326405\pi$
$439$	−8.40880	−	9.70428i	−0.401330	−	0.463160i	−0.920059	+	0.391779i	$0.871860\pi$
$440$	−1.18642	−	2.02358i	−0.0565602	−	0.0964705i
$441$	3.48039	−	24.2066i	0.165733	−	1.15270i
$442$	1.44406	−	0.719706i	0.0686869	−	0.0342329i
$443$	9.59419	−	1.37944i	0.455834	−	0.0655390i	0.0894261	−	0.995993i	$-0.471497\pi$
$443$	9.59419	−	1.37944i	0.455834	−	0.0655390i	0.366407	+	0.930454i	$0.380588\pi$
$444$	−1.69093	+	22.5402i	−0.0802482	+	1.06971i
$445$	0.678841	+	1.05630i	0.0321801	+	0.0500733i
$446$	6.94052	+	1.78433i	0.328643	+	0.0844903i
$447$	−24.4219	+	7.17091i	−1.15512	+	0.339172i
$448$	37.1218	+	3.04468i	1.75384	+	0.143847i
$449$	−4.32771	+	4.99445i	−0.204237	+	0.235702i	−0.848623	−	0.528998i	$-0.822568\pi$
$449$	−4.32771	+	4.99445i	−0.204237	+	0.235702i	0.644386	+	0.764701i	$0.277113\pi$
$450$	4.38434	−	10.5329i	0.206680	−	0.496525i
$451$	−1.22762	+	0.560633i	−0.0578061	+	0.0263992i
$452$	−15.1332	−	15.2389i	−0.711806	−	0.716776i
$453$	−3.37770	+	11.5034i	−0.158698	+	0.540476i
$454$	−0.199169	+	0.334355i	−0.00934747	+	0.0156921i
$455$	−0.259269	+	0.567721i	−0.0121547	+	0.0266152i
$456$	11.4783	−	16.3491i	0.537521	−	0.765619i
$457$	10.1438	+	6.51905i	0.474509	+	0.304948i	0.755949	−	0.654631i	$-0.227176\pi$
$457$	10.1438	+	6.51905i	0.474509	+	0.304948i	−0.281440	+	0.959579i	$0.590812\pi$
$458$	−0.660664	−	19.4463i	−0.0308708	−	0.908668i
$459$		−	9.76327i		−	0.455710i
$460$	0.819713	−	3.73022i	0.0382193	−	0.173922i
$461$		−	1.89376i		−	0.0882013i	−0.999027	−	0.0441006i	$-0.985958\pi$
$461$		−	1.89376i		−	0.0882013i	0.999027	−	0.0441006i	$-0.0140422\pi$
$462$	29.6073	−	1.00587i	1.37746	−	0.0467973i
$463$	−27.9703	−	17.9754i	−1.29989	−	0.835389i	−0.306691	−	0.951809i	$-0.599222\pi$
$463$	−27.9703	−	17.9754i	−1.29989	−	0.835389i	−0.993200	+	0.116420i	$0.962858\pi$
$464$	25.8339	−	7.39069i	1.19931	−	0.343104i
$465$	1.24974	−	2.73654i	0.0579551	−	0.126904i
$466$	−18.5385	−	11.0430i	−0.858777	−	0.511558i
$467$	−2.42735	+	8.26679i	−0.112324	+	0.382541i	−0.996397	−	0.0848074i	$-0.972973\pi$
$467$	−2.42735	+	8.26679i	−0.112324	+	0.382541i	0.884073	+	0.467349i	$0.154791\pi$
$468$	−0.796102	+	0.790582i	−0.0367998	+	0.0365447i
$469$	38.7029	−	17.6750i	1.78713	−	0.816156i
$470$	−4.45993	−	1.85646i	−0.205721	−	0.0856319i
$471$	16.9763	−	19.5917i	0.782228	−	0.902739i
$472$	−12.1034	−	29.6570i	−0.557106	−	1.36508i
$473$	22.3058	−	6.54957i	1.02562	−	0.301149i
$474$	−8.66387	+	33.7000i	−0.397945	+	1.54789i
$475$	8.55785	+	13.3163i	0.392661	+	0.610992i
$476$	2.36063	−	31.4672i	0.108199	−	1.44230i
$477$	11.0952	−	1.59525i	0.508015	−	0.0730416i
$478$	0.277937	+	0.557669i	0.0127126	+	0.0255072i
$479$	3.88869	−	27.0465i	0.177679	−	1.23578i	−0.684436	−	0.729073i	$-0.739952\pi$
$479$	3.88869	−	27.0465i	0.177679	−	1.23578i	0.862115	−	0.506712i	$-0.169139\pi$
$480$	3.58985	−	3.28446i	0.163854	−	0.149914i
$481$	1.15346	+	1.33116i	0.0525932	+	0.0606957i
$482$	−9.46966	+	11.7094i	−0.431331	+	0.533348i
$483$	36.4953	+	31.5361i	1.66059	+	1.43494i
$484$	−2.78685	−	13.0290i	−0.126675	−	0.592225i
$485$	1.93491	−	1.67661i	0.0878595	−	0.0761307i
$486$	6.93027	+	20.9436i	0.314363	+	0.950022i
$487$	−5.08378	+	35.3584i	−0.230368	+	1.60224i	0.466151	+	0.884705i	$0.345640\pi$
$487$	−5.08378	+	35.3584i	−0.230368	+	1.60224i	−0.696519	+	0.717539i	$0.745269\pi$
$488$	4.79900	+	6.01921i	0.217241	+	0.272477i
$489$	2.90842	+	20.2285i	0.131523	+	0.914765i
$490$	4.70164	+	6.79686i	0.212399	+	0.307051i
$491$	−17.9423	−	27.9188i	−0.809725	−	1.25996i	−0.962388	−	0.271678i	$-0.912421\pi$
$491$	−17.9423	−	27.9188i	−0.809725	−	1.25996i	0.152664	−	0.988278i	$-0.451215\pi$
$492$	−1.66979	−	2.24683i	−0.0752801	−	0.101295i
$493$	−6.41360	−	21.8427i	−0.288854	−	0.983747i
$494$	−0.273722	−	1.53239i	−0.0123153	−	0.0689453i
$495$	0.904977	−	1.04440i	0.0406757	−	0.0469423i
$496$	−10.6367	+	9.08795i	−0.477601	+	0.408061i
$497$	11.3921	+	24.9453i	0.511007	+	1.11895i
$498$	0.0956442	−	0.875295i	0.00428592	−	0.0392229i
$499$	−0.846075	+	2.88147i	−0.0378755	+	0.128992i	−0.976261	−	0.216599i	$-0.930504\pi$
$499$	−0.846075	+	2.88147i	−0.0378755	+	0.128992i	0.938385	+	0.345591i	$0.112322\pi$
$500$	2.71332	+	7.35270i	0.121343	+	0.328823i
$501$	−34.8952	−	15.9361i	−1.55900	−	0.711973i
$502$	9.40671	−	8.72746i	0.419842	−	0.389526i
$503$	−3.09569	−	1.98948i	−0.138030	−	0.0887065i	0.469803	−	0.882771i	$-0.344325\pi$
$503$	−3.09569	−	1.98948i	−0.138030	−	0.0887065i	−0.607833	+	0.794065i	$0.707961\pi$
$504$	5.31562	+	21.2893i	0.236776	+	0.948303i
$505$	1.59307			0.0708905
$506$	−7.21281	+	12.1462i	−0.320648	+	0.539966i
$507$		−	27.8373i		−	1.23630i
$508$	0.103996	−	0.137920i	0.00461408	−	0.00611920i
$509$	22.5018	−	35.0136i	0.997377	−	1.55195i	0.173771	−	0.984786i	$-0.444405\pi$
$509$	22.5018	−	35.0136i	0.997377	−	1.55195i	0.823606	−	0.567163i	$-0.191959\pi$
$510$	−2.80373	−	3.02194i	−0.124151	−	0.133814i
$511$	16.9078	−	37.0230i	0.747958	−	1.63780i
$512$	−21.5787	+	6.80880i	−0.953653	+	0.300909i
$513$	−9.03784	−	2.65375i	−0.399030	−	0.117166i
$514$	1.22614	−	11.2211i	0.0540827	−	0.494942i
$515$	7.29976	−	3.33369i	0.321666	−	0.146900i
$516$	22.9627	+	42.4030i	1.01088	+	1.86669i
$517$	13.5040	+	11.7012i	0.593903	+	0.514620i
$518$	33.9117	−	6.05746i	1.48999	−	0.266149i
$519$	−32.5712	+	9.56377i	−1.42972	+	0.419803i
$520$	0.0155099	−	0.378840i	0.000680154	−	0.0166132i
$521$	−11.0422	+	7.09641i	−0.483769	+	0.310899i	−0.759695	−	0.650279i	$-0.774652\pi$
$521$	−11.0422	+	7.09641i	−0.483769	+	0.310899i	0.275926	+	0.961179i	$0.411015\pi$
$522$	9.00560	+	13.0188i	0.394165	+	0.569818i
$523$	−11.7743	+	1.69289i	−0.514855	+	0.0740249i	−0.394845	−	0.918748i	$-0.629202\pi$
$523$	−11.7743	+	1.69289i	−0.514855	+	0.0740249i	−0.120010	+	0.992773i	$0.538293\pi$
$524$	6.39324	−	28.9048i	0.279290	−	1.26271i
$525$	−48.1963	−	6.92958i	−2.10346	−	0.302432i
$526$	1.48192	−	0.490371i	0.0646150	−	0.0213812i
$527$	7.76193	+	8.95775i	0.338115	+	0.390206i
$528$	−16.4222	+	7.36214i	−0.714686	+	0.320396i
$529$	−22.0505	+	6.54015i	−0.958719	+	0.284354i
$530$	−2.38204	+	2.94543i	−0.103469	+	0.127941i
$531$	14.2616	−	12.3578i	0.618901	−	0.536281i
$532$	−28.4875	−	10.7383i	−1.23509	−	0.465565i
$533$	−0.215920	−	0.0310447i	−0.00935255	−	0.00134469i
$534$	8.62192	−	4.29709i	0.373107	−	0.185953i
$535$	−0.847754	−	5.89626i	−0.0366516	−	0.254917i
$536$	−17.7118	+	18.8259i	−0.765033	+	0.813154i
$537$	36.7694	−	23.6302i	1.58672	−	1.01972i
$538$	−9.21020	+	35.8251i	−0.397080	+	1.54453i
$539$	−8.61218	−	29.3304i	−0.370953	−	1.26335i
$540$	−2.00984	−	1.10655i	−0.0864897	−	0.0476182i
$541$	1.87373	+	1.62359i	0.0805578	+	0.0698038i	0.694209	−	0.719774i	$-0.255754\pi$
$541$	1.87373	+	1.62359i	0.0805578	+	0.0698038i	−0.613651	+	0.789577i	$0.710300\pi$
$542$	1.53254	−	3.68175i	0.0658282	−	0.158145i
$543$	−4.46838	−	9.78439i	−0.191757	−	0.419888i
$544$	5.89555	+	18.2412i	0.252769	+	0.782084i
$545$	2.79619	+	0.821036i	0.119776	+	0.0351693i
$546$	4.11383	+	2.45053i	0.176056	+	0.104873i
$547$	5.96889	+	2.72590i	0.255211	+	0.116551i	0.538913	−	0.842362i	$-0.318835\pi$
$547$	5.96889	+	2.72590i	0.255211	+	0.116551i	−0.283702	+	0.958913i	$0.591563\pi$
$548$	−23.9812	+	1.63134i	−1.02443	+	0.0696876i
$549$	−2.45191	+	3.81524i	−0.104645	+	0.162831i
$550$	−0.484213	−	14.2526i	−0.0206469	−	0.607731i
$551$	−21.9630			−0.935657
$552$	−27.7665	−	9.36052i	−1.18182	−	0.398410i
$553$	53.0299			2.25506
$554$	−0.408276	−	12.0174i	−0.0173460	−	0.510571i
$555$	2.43297	−	3.78577i	0.103274	−	0.160697i
$556$	−2.88297	−	42.3804i	−0.122265	−	1.79733i
$557$	−27.2306	−	12.4358i	−1.15380	−	0.526923i	−0.255718	−	0.966751i	$-0.582312\pi$
$557$	−27.2306	−	12.4358i	−1.15380	−	0.526923i	−0.898082	+	0.439829i	$0.855039\pi$
$558$	−7.08100	−	4.21802i	−0.299763	−	0.178563i
$559$	3.60544	+	1.05865i	0.152494	+	0.0447762i
$560$	−6.21021	−	4.05238i	−0.262429	−	0.171244i
$561$	6.33394	+	13.8694i	0.267419	+	0.585567i
$562$	6.12598	−	14.7170i	0.258409	−	0.620798i
$563$	−16.0012	−	13.8651i	−0.674370	−	0.584345i	0.248885	−	0.968533i	$-0.419936\pi$
$563$	−16.0012	−	13.8651i	−0.674370	−	0.584345i	−0.923255	+	0.384188i	$0.874481\pi$
$564$	−17.8757	+	32.4679i	−0.752703	+	1.36714i
$565$	1.20462	+	4.10256i	0.0506787	+	0.172596i
$566$	−8.97803	+	34.9220i	−0.377375	+	1.46788i
$567$	43.9547	−	28.2480i	1.84592	−	1.18630i
$568$	−12.1339	−	11.4158i	−0.509128	−	0.478998i
$569$	−1.01855	−	7.08418i	−0.0426999	−	0.296984i	−0.999970	−	0.00778777i	$-0.997521\pi$
$569$	−1.01855	−	7.08418i	−0.0426999	−	0.296984i	0.957270	−	0.289196i	$-0.0933880\pi$
$570$	−3.55948	+	1.77401i	−0.149090	+	0.0743053i
$571$	37.8946	+	5.44842i	1.58584	+	0.228009i	0.878105	−	0.478469i	$-0.158808\pi$
$571$	37.8946	+	5.44842i	1.58584	+	0.228009i	0.707735	+	0.706478i	$0.249717\pi$
$572$	−0.494661	+	1.31228i	−0.0206828	+	0.0548691i
$573$	35.3738	−	30.6516i	1.47776	−	1.28049i
$574$	−2.68276	+	3.31727i	−0.111976	+	0.138460i
$575$	15.1811	−	17.5684i	0.633095	−	0.732651i
$576$	−7.87684	−	10.7544i	−0.328202	−	0.448098i
$577$	27.9481	+	32.2538i	1.16349	+	1.34274i	0.928759	+	0.370684i	$0.120877\pi$
$577$	27.9481	+	32.2538i	1.16349	+	1.34274i	0.234735	+	0.972059i	$0.424578\pi$
$578$	−7.40546	+	2.45047i	−0.308026	+	0.101926i
$579$	−3.68052	−	0.529179i	−0.152957	−	0.0219919i
$580$	−5.22338	−	1.15532i	−0.216889	−	0.0479721i
$581$	−1.32826	+	0.190974i	−0.0551053	+	0.00792295i
$582$	−11.1746	−	16.1544i	−0.463203	−	0.669623i
$583$	11.7870	−	7.57506i	0.488169	−	0.313727i
$584$	−1.01145	+	24.7054i	−0.0418542	+	1.02232i
$585$	0.214324	−	0.0629312i	0.00886121	−	0.00260188i
$586$	−3.87384	+	0.691964i	−0.160027	+	0.0285848i
$587$	7.02444	+	6.08671i	0.289930	+	0.251225i	0.787665	−	0.616103i	$-0.211290\pi$
$587$	7.02444	+	6.08671i	0.289930	+	0.251225i	−0.497736	+	0.867329i	$0.665835\pi$
$588$	55.7567	−	30.1941i	2.29937	−	1.24519i
$589$	10.4019	−	4.75041i	0.428604	−	0.195737i
$590$	−0.692721	+	6.33949i	−0.0285189	+	0.260993i
$591$	−9.83552	−	2.88797i	−0.404579	−	0.118795i
$592$	−17.6837	+	11.1916i	−0.726796	+	0.459970i
$593$	3.77421	−	8.26436i	0.154988	−	0.339377i	−0.816170	−	0.577811i	$-0.803907\pi$
$593$	3.77421	−	8.26436i	0.154988	−	0.339377i	0.971159	+	0.238435i	$0.0766343\pi$
$594$	5.77180	+	6.22102i	0.236820	+	0.255251i
$595$	−3.39654	+	5.28512i	−0.139245	+	0.216669i
$596$	−18.8161	−	14.1879i	−0.770737	−	0.581161i
$597$			18.2826i			0.748256i
$598$	−2.04221	+	1.02131i	−0.0835121	+	0.0417643i
$599$	13.6929			0.559476			0.279738	−	0.960076i	$-0.409752\pi$
$599$	13.6929			0.559476			0.279738	+	0.960076i	$0.409752\pi$
$600$	28.6995	−	7.16583i	1.17165	−	0.292544i
$601$	−19.2241	−	12.3546i	−0.784169	−	0.503955i	0.0862456	−	0.996274i	$-0.472513\pi$
$601$	−19.2241	−	12.3546i	−0.784169	−	0.503955i	−0.870415	+	0.492319i	$0.836149\pi$
$602$	53.8745	−	49.9843i	2.19576	−	2.03721i
$603$	−13.8517	−	6.32586i	−0.564085	−	0.257609i
$604$	−10.4137	+	3.84289i	−0.423727	+	0.156365i
$605$	−0.747329	+	2.54517i	−0.0303833	+	0.103476i
$606$	1.32764	−	12.1500i	0.0539318	−	0.493561i
$607$	7.85996	+	17.2109i	0.319026	+	0.698569i	0.999412	−	0.0342844i	$-0.0109152\pi$
$607$	7.85996	+	17.2109i	0.319026	+	0.698569i	−0.680386	+	0.732854i	$0.738188\pi$
$608$	18.4883	−	0.499372i	0.749799	−	0.0202522i
$609$	44.2428	−	51.0589i	1.79281	−	2.06901i
$610$	−0.269499	−	1.50875i	−0.0109117	−	0.0610874i
$611$	0.813693	+	2.77118i	0.0329185	+	0.112110i
$612$	−9.06458	+	6.73659i	−0.366414	+	0.272310i
$613$	2.77701	+	4.32111i	0.112162	+	0.174528i	0.892797	−	0.450460i	$-0.148740\pi$
$613$	2.77701	+	4.32111i	0.112162	+	0.174528i	−0.780634	+	0.624988i	$0.785104\pi$
$614$	−19.2043	−	27.7625i	−0.775024	−	1.12040i
$615$	0.0793161	+	0.551655i	0.00319833	+	0.0222449i
$616$	17.0985	+	21.4460i	0.688918	+	0.864085i
$617$	−4.99590	+	34.7473i	−0.201127	+	1.39887i	0.599819	+	0.800136i	$0.295239\pi$
$617$	−4.99590	+	34.7473i	−0.201127	+	1.39887i	−0.800946	+	0.598736i	$0.795670\pi$
$618$	−19.3419	−	58.4522i	−0.778046	−	2.35129i
$619$	19.3649	−	16.7798i	0.778340	−	0.674436i	−0.172191	−	0.985064i	$-0.555085\pi$
$619$	19.3649	−	16.7798i	0.778340	−	0.674436i	0.950532	+	0.310628i	$0.100539\pi$
$620$	2.72374	−	0.582597i	0.109388	−	0.0233977i
$621$	0.0188848	+	13.8168i	0.000757822	+	0.554448i
$622$	−16.7384	+	20.6973i	−0.671150	+	0.829888i
$623$	−9.61439	−	11.0956i	−0.385193	−	0.444536i
$624$	−2.87642	−	0.434012i	−0.115149	−	0.0173744i
$625$	−3.22299	+	22.4164i	−0.128920	+	0.896656i
$626$	18.8063	+	37.7341i	0.751652	+	1.50816i
$627$	14.5605	−	2.09348i	0.581491	−	0.0836057i
$628$	23.9342	+	1.79551i	0.955080	+	0.0716488i
$629$	9.58564	+	14.9155i	0.382204	+	0.594722i
$630$	1.08775	−	4.23105i	0.0433371	−	0.168569i
$631$	−12.7142	+	3.73322i	−0.506143	+	0.148617i	−0.524828	−	0.851208i	$-0.675870\pi$
$631$	−12.7142	+	3.73322i	−0.506143	+	0.148617i	0.0186846	+	0.999825i	$0.494052\pi$
$632$	−29.8276	+	12.1730i	−1.18648	+	0.484218i
$633$	−35.9181	+	41.4517i	−1.42762	+	1.64756i
$634$	3.39957	+	1.41508i	0.135014	+	0.0562001i
$635$	−0.0312820	+	0.0142860i	−0.00124139	+	0.000566923i
$636$	20.4791	+	20.6220i	0.812047	+	0.817717i
$637$	1.39205	−	4.74087i	0.0551548	−	0.187840i
$638$	16.9995	+	10.1263i	0.673018	+	0.400904i
$639$	4.07723	−	8.92789i	0.161293	−	0.353182i
$640$	4.42326	+	0.853775i	0.174845	+	0.0337484i
$641$	−20.8872	−	13.4234i	−0.824995	−	0.530192i	0.0586888	−	0.998276i	$-0.481308\pi$
$641$	−20.8872	−	13.4234i	−0.824995	−	0.530192i	−0.883684	+	0.468084i	$0.844944\pi$
$642$	−45.6762	+	1.55179i	−1.80269	+	0.0612442i
$643$		−	2.51359i		−	0.0991264i	−0.998771	−	0.0495632i	$-0.984217\pi$
$643$		−	2.51359i		−	0.0991264i	0.998771	−	0.0495632i	$-0.0157829\pi$
$644$	−3.27984	+	44.5363i	−0.129244	+	1.75498i
$645$		−	9.60042i		−	0.378016i
$646$	−0.532035	−	15.6602i	−0.0209326	−	0.616142i
$647$	−4.78562	−	3.07553i	−0.188142	−	0.120911i	0.443179	−	0.896433i	$-0.353851\pi$
$647$	−4.78562	−	3.07553i	−0.188142	−	0.120911i	−0.631321	+	0.775522i	$0.717487\pi$
$648$	−18.2387	+	25.9784i	−0.716485	+	1.02053i
$649$	9.79876	−	21.4563i	0.384635	−	0.842233i
$650$	1.17965	−	1.98034i	0.0462698	−	0.0776754i
$651$	−9.91030	+	33.7514i	−0.388415	+	1.32282i
$652$	−13.4258	+	13.3327i	−0.525796	+	0.522150i
$653$	−27.4006	+	12.5134i	−1.07227	+	0.489689i	−0.871725	−	0.489996i	$-0.836998\pi$
$653$	−27.4006	+	12.5134i	−1.07227	+	0.489689i	−0.200544	+	0.979685i	$0.564271\pi$
$654$	8.59221	−	20.6418i	0.335982	−	0.807158i
$655$	−3.85959	+	4.45421i	−0.150807	+	0.174040i
$656$	0.747481	−	2.48169i	0.0291842	−	0.0968935i
$657$	−13.9768	+	4.10395i	−0.545286	+	0.160110i
$658$	54.7069	+	14.0645i	2.13270	+	0.548291i
$659$	16.1644	+	25.1523i	0.629675	+	0.979794i	0.998730	+	0.0503862i	$0.0160452\pi$
$659$	16.1644	+	25.1523i	0.629675	+	0.979794i	−0.369054	+	0.929408i	$0.620318\pi$
$660$	3.57299	+	0.268041i	0.139078	+	0.0104335i
$661$	9.14217	−	1.31445i	0.355589	−	0.0511260i	0.0377945	−	0.999286i	$-0.487967\pi$
$661$	9.14217	−	1.31445i	0.355589	−	0.0511260i	0.317795	+	0.948159i	$0.397058\pi$
$662$	1.16658	−	0.581412i	0.0453404	−	0.0225972i
$663$	−0.350738	+	2.43943i	−0.0136215	+	0.0947398i
$664$	0.703262	−	0.412319i	0.0272919	−	0.0160011i
$665$	3.96922	+	4.58072i	0.153920	+	0.177633i
$666$	−9.58644	−	7.75278i	−0.371467	−	0.300414i
$667$	9.11864	+	30.8989i	0.353075	+	1.19641i
$668$	−7.42903	−	34.7319i	−0.287438	−	1.34382i
$669$	−8.27255	+	7.16821i	−0.319835	+	0.277139i
$670$	4.88558	−	1.61664i	0.188746	−	0.0624564i
$671$	−0.806759	+	5.61113i	−0.0311446	+	0.216615i
$672$	−36.0823	+	43.9869i	−1.39190	+	1.69683i
$673$	−3.20031	−	22.2587i	−0.123363	−	0.858008i	−0.953703	−	0.300751i	$-0.902763\pi$
$673$	−3.20031	−	22.2587i	−0.123363	−	0.858008i	0.830340	−	0.557258i	$-0.188146\pi$
$674$	−8.05194	+	5.56983i	−0.310149	+	0.214542i
$675$	−7.54097	−	11.7340i	−0.290252	−	0.451641i
$676$	20.6862	−	15.3735i	0.795623	−	0.591289i
$677$	5.57684	+	18.9930i	0.214335	+	0.729959i	0.994533	+	0.104426i	$0.0333005\pi$
$677$	5.57684	+	18.9930i	0.214335	+	0.729959i	−0.780197	+	0.625534i	$0.784881\pi$
$678$	32.2934	−	5.76839i	1.24022	−	0.221534i
$679$	−19.6040	+	22.6242i	−0.752332	+	0.868238i
$680$	0.697241	−	3.75239i	0.0267380	−	0.143897i
$681$	−0.246948	−	0.540740i	−0.00946306	−	0.0207212i
$682$	−10.2414	−	1.11909i	−0.392163	−	0.0428520i
$683$	−1.18244	+	4.02702i	−0.0452448	+	0.154090i	−0.979017	−	0.203778i	$-0.934678\pi$
$683$	−1.18244	+	4.02702i	−0.0452448	+	0.154090i	0.933772	+	0.357868i	$0.116496\pi$
$684$	3.77221	+	10.2221i	0.144234	+	0.390853i
$685$	4.35302	+	1.98796i	0.166320	+	0.0759559i
$686$	−34.3775	−	37.0531i	−1.31254	−	1.41469i
$687$	25.0027	+	16.0683i	0.953912	+	0.613042i
$688$	−18.8287	+	40.4814i	−0.717838	+	1.54334i
$689$	2.26474			0.0862796
$690$	3.97362	+	4.27116i	0.151273	+	0.162600i
$691$		−	37.8854i		−	1.44123i	−0.693335	−	0.720615i	$-0.743860\pi$
$691$		−	37.8854i		−	1.44123i	0.693335	−	0.720615i	$-0.256140\pi$
$692$	−25.0948	−	18.9223i	−0.953962	−	0.719319i
$693$	−8.73597	+	13.5934i	−0.331852	+	0.516372i
$694$	−13.0977	+	12.1519i	−0.497181	+	0.461280i
$695$	−3.51319	+	7.69280i	−0.133263	+	0.291805i
$696$	−13.1645	+	38.8749i	−0.499000	+	1.47355i
$697$	−2.10687	−	0.618633i	−0.0798034	−	0.0234324i
$698$	−30.0050	−	3.27867i	−1.13570	−	0.124099i
$699$	29.9816	−	13.6921i	1.13401	−	0.517884i
$700$	−21.4676	−	39.6422i	−0.811399	−	1.49833i
$701$	−36.0883	−	31.2707i	−1.36304	−	1.18108i	−0.964549	−	0.263905i	$-0.914989\pi$
$701$	−36.0883	−	31.2707i	−1.36304	−	1.18108i	−0.398488	−	0.917173i	$-0.630465\pi$
$702$	0.241197	+	1.35030i	0.00910339	+	0.0509639i
$703$	16.4128	−	4.81922i	0.619019	−	0.181760i
$704$	−14.5403	−	8.13771i	−0.548008	−	0.306702i
$705$	6.20761	−	3.98939i	0.233792	−	0.150249i
$706$	−22.7486	+	15.7361i	−0.856157	+	0.592236i
$707$	−18.4376	+	2.65093i	−0.693418	+	0.0996984i
$708$	47.7728	+	10.5665i	1.79541	+	0.397114i
$709$	−39.9934	−	5.75019i	−1.50199	−	0.215953i	−0.658286	−	0.752768i	$-0.728718\pi$
$709$	−39.9934	−	5.75019i	−1.50199	−	0.215953i	−0.843700	+	0.536815i	$0.819627\pi$
$710$	1.04198	+	3.14892i	0.0391049	+	0.118177i
$711$	−12.4288	−	14.3436i	−0.466117	−	0.537928i
$712$	7.95478	+	4.03392i	0.298118	+	0.151178i
$713$	−11.0018	−	12.6618i	−0.412022	−	0.474188i
$714$	37.4780	+	30.3094i	1.40258	+	1.13430i
$715$	0.211011	−	0.182842i	0.00789136	−	0.00683791i
$716$	37.8663	+	14.2736i	1.41513	+	0.533430i
$717$	−0.942065	−	0.135449i	−0.0351821	−	0.00505842i
$718$	−5.25426	−	10.5424i	−0.196087	−	0.393440i
$719$	3.91733	+	27.2457i	0.146092	+	1.01609i	0.922538	+	0.385907i	$0.126112\pi$
$719$	3.91733	+	27.2457i	0.146092	+	1.01609i	−0.776446	+	0.630184i	$0.782979\pi$
$720$	0.359414	+	2.62952i	0.0133946	+	0.0979964i
$721$	−78.9376	+	50.7301i	−2.93979	+	1.88929i
$722$	11.3826	+	2.92633i	0.423616	+	0.108907i
$723$	−6.48060	−	22.0709i	−0.241016	−	0.820826i
$724$	4.80317	−	8.72406i	0.178508	−	0.324227i
$725$	−24.5791	−	21.2979i	−0.912845	−	0.790985i
$726$	18.7887	+	7.82086i	0.697315	+	0.290259i
$727$	−5.28743	−	11.5779i	−0.196100	−	0.429399i	0.785881	−	0.618377i	$-0.212210\pi$
$727$	−5.28743	−	11.5779i	−0.196100	−	0.429399i	−0.981981	+	0.188979i	$0.939482\pi$
$728$	0.450898	+	4.41037i	0.0167114	+	0.163459i
$729$	−0.0283857	−	0.00833479i	−0.00105132	−	0.000308696i
$730$	2.51928	−	4.22925i	0.0932429	−	0.156531i
$731$	34.4065	+	15.7129i	1.27257	+	0.581164i
$732$	−11.7315	+	0.798049i	−0.433610	+	0.0294967i
$733$	−23.4215	+	36.4446i	−0.865095	+	1.34611i	0.0721329	+	0.997395i	$0.477019\pi$
$733$	−23.4215	+	36.4446i	−0.865095	+	1.34611i	−0.937228	+	0.348719i	$0.886617\pi$
$734$	−16.6840	+	0.566817i	−0.615817	+	0.0209216i
$735$	−12.6238			−0.465636
$736$	−8.37853	−	25.8031i	−0.308837	−	0.951115i
$737$	−19.0342			−0.701135
$738$	1.52603	−	0.0518449i	0.0561739	−	0.00190844i
$739$	15.2828	−	23.7806i	0.562188	−	0.874782i	−0.437513	−	0.899212i	$-0.644141\pi$
$739$	15.2828	−	23.7806i	0.562188	−	0.874782i	0.999702	+	0.0244302i	$0.00777714\pi$
$740$	4.15689	−	0.282776i	0.152810	−	0.0103951i
$741$	2.16285	+	0.987739i	0.0794541	+	0.0362855i
$742$	22.6676	−	38.0532i	0.832152	−	1.39698i
$743$	−27.7698	−	8.15396i	−1.01878	−	0.299140i	−0.270637	−	0.962681i	$-0.587234\pi$
$743$	−27.7698	−	8.15396i	−1.01878	−	0.299140i	−0.748139	+	0.663542i	$0.769053\pi$
$744$	−2.17343	−	21.2590i	−0.0796818	−	0.779392i
$745$	1.94901	+	4.26773i	0.0714062	+	0.156358i
$746$	−6.22509	−	2.59121i	−0.227917	−	0.0948710i
$747$	0.362963	+	0.314510i	0.0132801	+	0.0115073i
$748$	−6.80851	+	12.3664i	−0.248944	+	0.452160i
$749$	19.6232	+	66.8306i	0.717017	+	2.44194i
$750$	−11.5943	−	2.98075i	−0.423363	−	0.108842i
$751$	−21.3158	+	13.6988i	−0.777825	+	0.499878i	−0.868311	−	0.496020i	$-0.834794\pi$
$751$	−21.3158	+	13.6988i	−0.777825	+	0.499878i	0.0904863	+	0.995898i	$0.471158\pi$
$752$	−33.9993	+	4.64718i	−1.23983	+	0.169465i
$753$	2.78939	+	19.4006i	0.101651	+	0.706998i
$754$	1.42664	+	2.86250i	0.0519553	+	0.104246i
$755$	2.18744	+	0.314506i	0.0796089	+	0.0114460i
$756$	25.1025	+	9.46235i	0.912970	+	0.344142i
$757$	−10.8291	+	9.38349i	−0.393591	+	0.341049i	−0.829065	−	0.559153i	$-0.811126\pi$
$757$	−10.8291	+	9.38349i	−0.393591	+	0.341049i	0.435473	+	0.900202i	$0.356581\pi$
$758$	7.69364	+	6.22203i	0.279445	+	0.225994i
$759$	−8.99049	−	19.6154i	−0.326334	−	0.711995i
$760$	−3.28406	−	1.66537i	−0.119125	−	0.0604093i
$761$	0.692401	+	0.799074i	0.0250995	+	0.0289664i	0.768161	−	0.640257i	$-0.221172\pi$
$761$	0.692401	+	0.799074i	0.0250995	+	0.0289664i	−0.743061	+	0.669224i	$0.766627\pi$
$762$	0.0828867	+	0.250488i	0.00300267	+	0.00907422i
$763$	−33.7284	−	4.84941i	−1.22105	−	0.175561i
$764$	42.3132	+	9.35895i	1.53084	+	0.338595i
$765$	2.22559	−	0.319991i	0.0804664	−	0.0115693i
$766$	0.787240	−	0.544564i	0.0284442	−	0.0196759i
$767$	3.20742	−	2.06128i	0.115813	−	0.0744287i
$768$	10.1979	−	33.0239i	0.367984	−	1.19165i
$769$	20.6917	−	6.07563i	0.746161	−	0.219093i	0.113518	−	0.993536i	$-0.463788\pi$
$769$	20.6917	−	6.07563i	0.746161	−	0.219093i	0.632643	+	0.774443i	$0.281970\pi$
$770$	−0.960206	−	5.37556i	−0.0346034	−	0.193722i
$771$	13.0306	+	11.2910i	0.469284	+	0.406637i
$772$	−1.63938	−	3.02728i	−0.0590025	−	0.108954i
$773$	−12.6667	+	5.78468i	−0.455589	+	0.208060i	−0.629973	−	0.776617i	$-0.716934\pi$
$773$	−12.6667	+	5.78468i	−0.455589	+	0.208060i	0.174384	+	0.984678i	$0.444207\pi$
$774$	−26.1466	−	2.85706i	−0.939820	−	0.102695i
$775$	16.2475	+	4.77069i	0.583627	+	0.171368i
$776$	5.83321	−	17.2255i	0.209400	−	0.618359i
$777$	−21.8586	+	47.8638i	−0.784174	+	1.71710i
$778$	−19.1584	+	17.7750i	−0.686863	+	0.637266i
$779$	−1.14533	+	1.78218i	−0.0410359	+	0.0638531i
$780$	0.462423	+	0.348682i	0.0165574	+	0.0124848i
$781$		−	12.2682i		−	0.438991i
$782$	−21.8108	+	7.25031i	−0.779953	+	0.259271i
$783$	19.3533			0.691631
$784$	53.2300	+	24.7583i	1.90107	+	0.884225i
$785$	−4.01991	−	2.58344i	−0.143477	−	0.0922068i
$786$	30.7549	+	33.1485i	1.09699	+	1.18237i
$787$	37.1675	+	16.9738i	1.32488	+	0.605051i	0.947128	−	0.320856i	$-0.103971\pi$
$787$	37.1675	+	16.9738i	1.32488	+	0.605051i	0.377750	+	0.925908i	$0.376698\pi$
$788$	−3.28571	−	8.90380i	−0.117049	−	0.317185i
$789$	−0.671734	+	2.28772i	−0.0239144	+	0.0814449i
$790$	6.37594	+	0.696705i	0.226846	+	0.0247876i
$791$	−20.7687	−	45.4771i	−0.738449	−	1.61698i
$792$	1.79332	−	9.65121i	0.0637228	−	0.342941i
$793$	−0.600044	+	0.692487i	−0.0213082	+	0.0245909i
$794$	−30.7874	+	5.49938i	−1.09260	+	0.195166i
$795$	−1.63016	−	5.55180i	−0.0578156	−	0.196902i
$796$	−13.5860	+	10.0968i	−0.481543	+	0.357872i
$797$	−3.22597	−	5.01971i	−0.114270	−	0.177807i	0.779408	−	0.626517i	$-0.215520\pi$
$797$	−3.22597	−	5.01971i	−0.114270	−	0.177807i	−0.893678	+	0.448710i	$0.851884\pi$
$798$	38.2442	−	26.4550i	1.35383	−	0.936495i
$799$	4.13745	+	28.7766i	0.146372	+	1.01804i
$800$	21.1747	+	17.3695i	0.748639	+	0.614106i
$801$	−0.747796	+	5.20104i	−0.0264221	+	0.183770i
$802$	−15.0613	+	4.98379i	−0.531832	+	0.175984i
$803$	−13.7607	+	11.9237i	−0.485606	+	0.420780i
$804$	−8.25825	−	38.6087i	−0.291246	−	1.36162i
$805$	4.79649	−	7.48596i	0.169054	−	0.263845i
$806$	−1.29481	−	1.04714i	−0.0456076	−	0.0368839i
$807$	−37.0003	−	42.7007i	−1.30247	−	1.50313i
$808$	9.76203	−	5.72342i	0.343427	−	0.201349i
$809$	1.41728	−	9.85740i	0.0498289	−	0.346568i	−0.949621	−	0.313401i	$-0.898532\pi$
$809$	1.41728	−	9.85740i	0.0498289	−	0.346568i	0.999450	−	0.0331668i	$-0.0105593\pi$
$810$	5.65593	−	2.81886i	0.198729	−	0.0990447i
$811$	12.0879	−	1.73797i	0.424463	−	0.0610285i	0.0732263	−	0.997315i	$-0.476670\pi$
$811$	12.0879	−	1.73797i	0.424463	−	0.0610285i	0.351236	+	0.936287i	$0.385761\pi$
$812$	62.3761	+	4.67937i	2.18897	+	0.164214i
$813$	3.29331	+	5.12450i	0.115502	+	0.179724i
$814$	−14.9255	−	3.83718i	−0.523140	−	0.134493i
$815$	3.61446	−	1.06130i	0.126609	−	0.0371757i
$816$	−28.0377	−	8.44492i	−0.981516	−	0.295631i
$817$	23.8975	−	27.5791i	0.836066	−	0.964872i
$818$	6.51526	−	15.6522i	0.227801	−	0.547265i
$819$	−2.37579	+	1.08499i	−0.0830169	+	0.0379126i
$820$	−0.366138	+	0.363600i	−0.0127861	+	0.0126975i
$821$	−13.6782	+	46.5838i	−0.477374	+	1.62579i	0.271051	+	0.962565i	$0.412629\pi$
$821$	−13.6782	+	46.5838i	−0.477374	+	1.62579i	−0.748424	+	0.663220i	$0.769189\pi$
$822$	18.7895	−	31.5429i	0.655360	−	1.10019i
$823$	6.69740	−	14.6653i	0.233457	−	0.511199i	−0.756255	−	0.654277i	$-0.772973\pi$
$823$	6.69740	−	14.6653i	0.233457	−	0.511199i	0.989711	+	0.143078i	$0.0457001\pi$
$824$	32.7547	−	46.6542i	1.14106	−	1.62528i
$825$	18.3249	+	11.7767i	0.637992	+	0.410012i
$826$	−2.53185	−	74.5238i	−0.0880944	−	2.59301i
$827$			2.73698i			0.0951741i	0.998867	+	0.0475871i	$0.0151532\pi$
$827$			2.73698i			0.0951741i	−0.998867	+	0.0475871i	$0.984847\pi$
$828$	12.8150	−	9.55100i	0.445351	−	0.331920i
$829$			33.8086i			1.17422i	0.809506	+	0.587111i	$0.199735\pi$
$829$			33.8086i			1.17422i	−0.809506	+	0.587111i	$0.800265\pi$
$830$	−0.162209	+	0.00551085i	−0.00563037	+	0.000191284i
$831$	15.4511	+	9.92983i	0.535993	+	0.344462i
$832$	−1.26602	−	2.37719i	−0.0438913	−	0.0824141i
$833$	20.6613	−	45.2419i	0.715872	−	1.56754i
$834$	55.7437	+	33.2055i	1.93025	+	1.14981i
$835$	−1.99219	+	6.78478i	−0.0689427	+	0.234797i
$836$	9.59692	+	9.66392i	0.331917	+	0.334234i
$837$	−9.16594	+	4.18594i	−0.316821	+	0.144687i
$838$	40.7097	+	16.9455i	1.40629	+	0.585373i
$839$	−10.6788	+	12.3240i	−0.368674	+	0.425472i	−0.909527	−	0.415645i	$-0.863556\pi$
$839$	−10.6788	+	12.3240i	−0.368674	+	0.425472i	0.540853	+	0.841117i	$0.318101\pi$
$840$	10.4871	−	4.27992i	0.361838	−	0.147671i
$841$	15.4726	−	4.54316i	0.533538	−	0.156661i
$842$	−3.38560	+	13.1690i	−0.116676	+	0.453835i
$843$	13.1643	+	20.4840i	0.453402	+	0.705507i
$844$	−50.6395	−	3.79890i	−1.74308	−	0.130764i
$845$	−5.07900	+	0.730250i	−0.174723	+	0.0251214i
$846$	−9.01767	−	18.0936i	−0.310034	−	0.622069i
$847$	4.41407	−	30.7005i	0.151669	−	1.05488i
$848$	−4.01463	+	26.6070i	−0.137863	+	0.913688i
$849$	−36.0676	−	41.6242i	−1.23784	−	1.42854i
$850$	14.5905	−	18.0414i	0.500451	−	0.618816i
$851$	−13.5942	−	21.0896i	−0.466004	−	0.722942i
$852$	24.8846	−	5.32272i	0.852532	−	0.182354i
$853$	31.6094	−	27.3897i	1.08229	−	0.937807i	0.0840088	−	0.996465i	$-0.473228\pi$
$853$	31.6094	−	27.3897i	1.08229	−	0.937807i	0.998278	+	0.0586581i	$0.0186822\pi$
$854$	5.62971	+	17.0133i	0.192645	+	0.582182i
$855$	0.308721	−	2.14720i	0.0105580	−	0.0734327i
$856$	−26.3784	−	33.0855i	−0.901596	−	1.13084i
$857$	2.66920	+	18.5647i	0.0911780	+	0.634157i	0.983250	+	0.182263i	$0.0583423\pi$
$857$	2.66920	+	18.5647i	0.0911780	+	0.634157i	−0.892072	+	0.451894i	$0.850749\pi$
$858$	−1.21865	−	1.76172i	−0.0416040	−	0.0601441i
$859$	12.8589	+	20.0089i	0.438740	+	0.682693i	0.988259	−	0.152788i	$-0.0488252\pi$
$859$	12.8589	+	20.0089i	0.438740	+	0.682693i	−0.549519	+	0.835481i	$0.685189\pi$
$860$	7.13418	−	5.30196i	0.243274	−	0.180795i
$861$	−1.83595	−	6.25269i	−0.0625692	−	0.213091i
$862$	−8.96588	−	50.1940i	−0.305379	−	1.70961i
$863$	16.6612	−	19.2280i	0.567152	−	0.654529i	−0.397640	−	0.917542i	$-0.630171\pi$
$863$	16.6612	−	19.2280i	0.567152	−	0.654529i	0.964792	+	0.263013i	$0.0847161\pi$
$864$	−16.2914	+	0.440035i	−0.554246	+	0.0149703i
$865$	2.59937	+	5.69183i	0.0883813	+	0.193528i
$866$	3.55980	−	32.5778i	0.120967	−	1.10704i
$867$	3.35678	−	11.4322i	0.114002	−	0.388256i
$868$	−30.5541	+	11.2752i	−1.03707	+	0.382705i
$869$	−21.5797	−	9.85510i	−0.732040	−	0.334311i
$870$	5.99026	−	5.55771i	0.203089	−	0.188424i
$871$	−2.58823	−	1.66335i	−0.0876988	−	0.0563606i
$872$	20.0843	−	5.01474i	0.680141	−	0.169821i
$873$	10.7141			0.362617
$874$	0.783215	+	22.1609i	0.0264926	+	0.749604i
$875$			18.2446i			0.616781i
$876$	−30.1562	−	22.7387i	−1.01888	−	0.768270i
$877$	−10.5759	+	16.4564i	−0.357122	+	0.555692i	−0.972607	−	0.232456i	$-0.925324\pi$
$877$	−10.5759	+	16.4564i	−0.357122	+	0.555692i	0.615485	+	0.788148i	$0.288960\pi$
$878$	12.3510	+	13.3122i	0.416825	+	0.449266i
$879$	2.49699	−	5.46764i	0.0842213	−	0.184419i
$880$	1.77405	+	2.80316i	0.0598031	+	0.0944945i
$881$	26.0822	+	7.65842i	0.878731	+	0.258019i	0.689825	−	0.723976i	$-0.257688\pi$
$881$	26.0822	+	7.65842i	0.878731	+	0.258019i	0.188906	+	0.981995i	$0.439506\pi$
$882$	−3.75681	+	34.3808i	−0.126498	+	1.15766i
$883$	−26.8664	+	12.2695i	−0.904125	+	0.412900i	−0.812546	−	0.582898i	$-0.801919\pi$
$883$	−26.8664	+	12.2695i	−0.904125	+	0.412900i	−0.0915797	+	0.995798i	$0.529192\pi$
$884$	−2.00647	+	1.08657i	−0.0674849	+	0.0365454i
$885$	−7.36175	−	6.37900i	−0.247463	−	0.214428i
$886$	−13.4942	+	2.41039i	−0.453345	+	0.0809786i
$887$	51.5725	−	15.1431i	1.73164	−	0.508454i	0.744402	−	0.667732i	$-0.232735\pi$
$887$	51.5725	−	15.1431i	1.73164	−	0.508454i	0.987234	+	0.159277i	$0.0509164\pi$
$888$	1.30762	−	31.9395i	0.0438808	−	1.07182i
$889$	0.338275	−	0.217396i	0.0113454	−	0.00729123i
$890$	−1.01019	−	1.46037i	−0.0338618	−	0.0489518i
$891$	−23.1363	+	3.32649i	−0.775094	+	0.111442i
$892$	−9.89540	−	2.18869i	−0.331323	−	0.0732828i
$893$	27.7630	+	3.99172i	0.929054	+	0.133578i
$894$	34.1735	−	11.3081i	1.14293	−	0.378198i
$895$	−5.27597	−	6.08880i	−0.176356	−	0.203526i
$896$	−52.6141	−	2.52081i	−1.75771	−	0.0842144i
$897$	0.491638	−	3.45291i	0.0164153	−	0.115289i
$898$	5.87695	−	7.26695i	0.196116	−	0.242501i
$899$	−17.7566	+	15.3861i	−0.592214	+	0.513157i
$900$	−5.69104	+	15.0977i	−0.189701	+	0.503256i
$901$	22.5649	+	3.24434i	0.751746	+	0.108085i
$902$	1.70819	−	0.851346i	0.0568764	−	0.0283467i
$903$	15.9755	+	111.112i	0.531631	+	3.69758i
$904$	22.1210	+	20.8119i	0.735733	+	0.692194i
$905$	−1.66797	+	1.07194i	−0.0554453	+	0.0356325i
$906$	4.22166	−	16.4211i	0.140255	−	0.545553i
$907$	5.21165	+	17.7492i	0.173050	+	0.589354i	0.999647	+	0.0265601i	$0.00845533\pi$
$907$	5.21165	+	17.7492i	0.173050	+	0.589354i	−0.826597	+	0.562794i	$0.809726\pi$
$908$	0.265450	−	0.482141i	0.00880927	−	0.0160004i
$909$	5.03832	+	4.36573i	0.167110	+	0.144802i
$910$	0.339190	−	0.814865i	0.0112440	−	0.0270125i
$911$	0.105968	+	0.232037i	0.00351087	+	0.00768774i	0.911379	−	0.411567i	$-0.135019\pi$
$911$	0.105968	+	0.232037i	0.00351087	+	0.00768774i	−0.907868	+	0.419255i	$0.862291\pi$
$912$	−15.4384	+	23.6590i	−0.511215	+	0.783429i
$913$	0.576003	+	0.169130i	0.0190629	+	0.00559738i
$914$	−14.6503	−	8.72692i	−0.484589	−	0.288661i
$915$	2.12948	+	0.972502i	0.0703985	+	0.0321499i
$916$	1.86756	+	27.4537i	0.0617060	+	0.907096i
$917$	37.2576	−	57.9740i	1.23036	−	1.91447i
$918$	0.468816	+	13.7994i	0.0154732	+	0.455448i
$919$	0.675940			0.0222972			0.0111486	−	0.999938i	$-0.496451\pi$
$919$	0.675940			0.0222972			0.0111486	+	0.999938i	$0.496451\pi$
$920$	−0.979462	+	5.31164i	−0.0322919	+	0.175120i
$921$	51.5633			1.69907
$922$	0.0909354	+	2.67664i	0.00299480	+	0.0881504i
$923$	1.07209	−	1.66820i	0.0352882	−	0.0549095i
$924$	−41.7986	+	2.84339i	−1.37507	+	0.0935407i
$925$	23.0410	+	10.5225i	0.757583	+	0.345976i
$926$	40.3964	+	24.0634i	1.32751	+	0.790771i
$927$	32.2225	+	9.46137i	1.05832	+	0.310752i
$928$	−36.1587	+	11.6865i	−1.18697	+	0.383628i
$929$	−5.20835	−	11.4047i	−0.170881	−	0.374176i	0.804744	−	0.593622i	$-0.202302\pi$
$929$	−5.20835	−	11.4047i	−0.170881	−	0.374176i	−0.975625	+	0.219446i	$0.929575\pi$
$930$	−1.63497	+	3.92783i	−0.0536128	+	0.128799i
$931$	−36.2644	−	31.4233i	−1.18852	−	1.02986i
$932$	26.7325	+	14.7180i	0.875652	+	0.482104i
$933$	−11.4550	−	39.0122i	−0.375020	−	1.27720i
$934$	3.03385	−	11.8008i	0.0992706	−	0.386135i
$935$	2.36436	−	1.51948i	0.0773228	−	0.0496923i
$936$	1.08725	−	1.15563i	0.0355377	−	0.0377731i
$937$	0.0637698	+	0.443529i	0.00208327	+	0.0144895i	0.990837	−	0.135066i	$-0.0431247\pi$
$937$	0.0637698	+	0.443529i	0.00208327	+	0.0144895i	−0.988753	+	0.149556i	$0.952216\pi$
$938$	−53.8538	+	26.8403i	−1.75839	+	0.876366i
$939$	−63.7438	−	9.16498i	−2.08020	−	0.299088i
$940$	6.39280	+	2.40975i	0.208510	+	0.0785975i
$941$	29.5735	−	25.6256i	0.964070	−	0.835371i	−0.0223276	−	0.999751i	$-0.507108\pi$
$941$	29.5735	−	25.6256i	0.964070	−	0.835371i	0.986397	+	0.164380i	$0.0525622\pi$
$942$	−23.0535	+	28.5061i	−0.751125	+	0.928778i
$943$	2.98279	+	0.871400i	0.0971331	+	0.0283767i
$944$	18.5311	+	41.3360i	0.603135	+	1.34537i
$945$	−3.49758	−	4.03642i	−0.113776	−	0.131305i
$946$	−31.2124	+	10.3282i	−1.01480	+	0.335800i
$947$	25.9806	+	3.73545i	0.844256	+	0.121386i	0.550852	−	0.834603i	$-0.314303\pi$
$947$	25.9806	+	3.73545i	0.844256	+	0.121386i	0.293404	+	0.955989i	$0.405212\pi$
$948$	10.6273	−	48.0475i	0.345158	−	1.56051i
$949$	−2.91314	+	0.418846i	−0.0945644	+	0.0135963i
$950$	−12.7351	−	18.4103i	−0.413180	−	0.597307i
$951$	−4.73175	+	3.04091i	−0.153437	+	0.0986082i
$952$	−1.82550	+	44.5891i	−0.0591649	+	1.44514i
$953$	25.7841	−	7.57089i	0.835229	−	0.245245i	0.163967	−	0.986466i	$-0.447571\pi$
$953$	25.7841	−	7.57089i	0.835229	−	0.245245i	0.671262	+	0.741220i	$0.265753\pi$
$954$	−15.6054	+	2.78750i	−0.505242	+	0.0902487i
$955$	−6.52044	−	5.64999i	−0.210996	−	0.182829i
$956$	−0.419615	−	0.774863i	−0.0135713	−	0.0250609i
$957$	−27.4927	+	12.5555i	−0.888713	+	0.405862i
$958$	−4.19755	+	38.4141i	−0.135617	+	1.24110i
$959$	−53.6884	−	15.7643i	−1.73369	−	0.509057i
$960$	−4.91618	+	4.81463i	−0.158669	+	0.155391i
$961$	−7.79605	+	17.0710i	−0.251485	+	0.550676i
$962$	−1.69422	−	1.82607i	−0.0546237	−	0.0588750i
$963$	13.4773	−	20.9710i	0.434299	−	0.675783i
$964$	12.8221	−	17.0048i	0.412973	−	0.547686i
$965$			0.685404i			0.0220639i
$966$	−53.0967	−	42.8206i	−1.70836	−	1.37773i
$967$	−30.2553			−0.972945			−0.486473	−	0.873696i	$-0.661717\pi$
$967$	−30.2553			−0.972945			−0.486473	+	0.873696i	$0.661717\pi$
$968$	4.56455	+	18.2813i	0.146710	+	0.587583i
$969$	20.1347	+	12.9398i	0.646821	+	0.415687i
$970$	−2.65428	+	2.46262i	−0.0852239	+	0.0790700i
$971$	−3.80608	−	1.73818i	−0.122143	−	0.0557809i	0.353406	−	0.935470i	$-0.385023\pi$
$971$	−3.80608	−	1.73818i	−0.122143	−	0.0557809i	−0.475549	+	0.879689i	$0.657751\pi$
$972$	−10.8009	−	29.2689i	−0.346439	−	0.938800i
$973$	27.8593	−	94.8800i	0.893127	−	3.04171i
$974$	5.48755	−	50.2197i	0.175832	−	1.60914i
$975$	1.46264	+	3.20274i	0.0468420	+	0.102570i
$976$	−7.07193	−	8.27710i	−0.226367	−	0.264944i
$977$	−4.58239	+	5.28836i	−0.146604	+	0.169190i	−0.824302	−	0.566150i	$-0.808432\pi$
$977$	−4.58239	+	5.28836i	−0.146604	+	0.169190i	0.677698	+	0.735340i	$0.262978\pi$
$978$	−5.08210	−	28.4513i	−0.162508	−	0.909772i
$979$	1.85041	+	6.30192i	0.0591394	+	0.201410i
$980$	−6.97167	−	9.38090i	−0.222702	−	0.299662i
$981$	6.59338	+	10.2595i	0.210510	+	0.327560i
$982$	26.7002	+	38.5988i	0.852038	+	1.23174i
$983$	−0.0179153	−	0.124604i	−0.000571410	−	0.00397424i	0.989534	−	0.144302i	$-0.0460936\pi$
$983$	−0.0179153	−	0.124604i	−0.000571410	−	0.00397424i	−0.990105	+	0.140327i	$0.955184\pi$
$984$	2.46797	+	3.09549i	0.0786761	+	0.0986805i
$985$	−0.268906	+	1.87028i	−0.00856805	+	0.0595921i
$986$	10.1138	+	30.5645i	0.322090	+	0.973372i
$987$	−65.2063	+	56.5015i	−2.07554	+	1.79846i
$988$	0.460460	+	2.15273i	0.0146492	+	0.0684874i
$989$	−48.7218	−	22.1700i	−1.54926	−	0.704966i
$990$	−1.22894	+	1.51961i	−0.0390584	+	0.0482963i
$991$	22.3464	+	25.7891i	0.709856	+	0.819217i	0.990049	−	0.140726i	$-0.0449438\pi$
$991$	22.3464	+	25.7891i	0.709856	+	0.819217i	−0.280193	+	0.959944i	$0.590398\pi$
$992$	14.5975	−	13.3556i	0.463470	−	0.424042i
$993$	−0.283342	+	1.97069i	−0.00899160	+	0.0625380i
$994$	−17.2995	−	34.7106i	−0.548706	−	1.10095i
$995$	3.33571	−	0.479603i	0.105749	−	0.0152044i
$996$	−0.0931531	+	1.24173i	−0.00295167	+	0.0393458i
$997$	0.273028	+	0.424840i	0.00864689	+	0.0134548i	0.845550	−	0.533896i	$-0.179273\pi$
$997$	0.273028	+	0.424840i	0.00864689	+	0.0134548i	−0.836903	+	0.547351i	$0.815636\pi$
$998$	1.05748	−	4.11329i	0.0334739	−	0.130204i
$999$	−14.4625	+	4.24658i	−0.457574	+	0.134356i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.p.a.13.1	✓	220
4.3	odd	2		736.2.x.a.657.4		220
8.3	odd	2		736.2.x.a.657.19		220
8.5	even	2	inner	184.2.p.a.13.12	yes	220
23.16	even	11	inner	184.2.p.a.85.12	yes	220
92.39	odd	22		736.2.x.a.177.19		220
184.85	even	22	inner	184.2.p.a.85.1	yes	220
184.131	odd	22		736.2.x.a.177.4		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.p.a.13.1	✓	220	1.1	even	1	trivial
184.2.p.a.13.12	yes	220	8.5	even	2	inner
184.2.p.a.85.1	yes	220	184.85	even	22	inner
184.2.p.a.85.12	yes	220	23.16	even	11	inner
736.2.x.a.177.4		220	184.131	odd	22
736.2.x.a.177.19		220	92.39	odd	22
736.2.x.a.657.4		220	4.3	odd	2
736.2.x.a.657.19		220	8.3	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.p (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41340 + 0.0480184i) q^{2} +(1.16787 - 1.81725i) q^{3} +(1.99539 - 0.135738i) q^{4} +(-0.362199 - 0.165411i) q^{5} +(-1.56341 + 2.62457i) q^{6} +(4.46721 + 1.31169i) q^{7} +(-2.81376 + 0.287667i) q^{8} +(-0.692209 - 1.51573i) q^{9} +(0.519873 + 0.216399i) q^{10} +(-1.57409 - 1.36396i) q^{11} +(2.08369 - 3.78463i) q^{12} +(-0.0948485 - 0.323024i) q^{13} +(-6.37693 - 1.63943i) q^{14} +(-0.723593 + 0.465025i) q^{15} +(3.96315 - 0.541701i) q^{16} +(-0.482284 - 3.35436i) q^{17} +(1.05115 + 2.10908i) q^{18} +(-3.23621 - 0.465297i) q^{19} +(-0.745179 - 0.280894i) q^{20} +(7.60080 - 6.58613i) q^{21} +(2.29032 + 1.85223i) q^{22} +(0.689006 + 4.74608i) q^{23} +(-2.76335 + 5.44925i) q^{24} +(-3.17048 - 3.65892i) q^{25} +(0.149570 + 0.452007i) q^{26} +(2.85167 + 0.410009i) q^{27} +(9.09187 + 2.01096i) q^{28} +(6.64920 - 0.956010i) q^{29} +(1.00040 - 0.692011i) q^{30} +(-2.94236 + 1.89094i) q^{31} +(-5.57550 + 0.955943i) q^{32} +(-4.31699 + 1.26758i) q^{33} +(0.842730 + 4.71788i) q^{34} +(-1.40105 - 1.21402i) q^{35} +(-1.58697 - 2.93050i) q^{36} +(-4.75911 + 2.17341i) q^{37} +(4.59640 + 0.502252i) q^{38} +(-0.697785 - 0.204888i) q^{39} +(1.06672 + 0.361233i) q^{40} +(0.269169 - 0.589399i) q^{41} +(-10.4267 + 9.67380i) q^{42} +(-6.03436 + 9.38965i) q^{43} +(-3.32607 - 2.50797i) q^{44} +0.663492i q^{45} +(-1.20174 - 6.67501i) q^{46} -8.57887 q^{47} +(3.64405 - 7.83465i) q^{48} +(12.3467 + 7.93472i) q^{49} +(4.65684 + 5.01928i) q^{50} +(-6.65894 - 3.04103i) q^{51} +(-0.233106 - 0.631684i) q^{52} +(-1.89523 + 6.45455i) q^{53} +(-4.05024 - 0.442573i) q^{54} +(0.344521 + 0.754396i) q^{55} +(-12.9470 - 2.40571i) q^{56} +(-4.62504 + 5.33758i) q^{57} +(-9.35206 + 1.67051i) q^{58} +(3.19060 + 10.8662i) q^{59} +(-1.38073 + 1.02612i) q^{60} +(-1.47146 - 2.28964i) q^{61} +(4.06792 - 2.81394i) q^{62} +(-1.10408 - 7.67903i) q^{63} +(7.83449 - 1.61885i) q^{64} +(-0.0190776 + 0.132688i) q^{65} +(6.04076 - 1.99890i) q^{66} +(6.90654 - 5.98455i) q^{67} +(-1.41766 - 6.62778i) q^{68} +(9.42946 + 4.29072i) q^{69} +(2.03854 + 1.64861i) q^{70} +(3.85725 + 4.45150i) q^{71} +(2.38373 + 4.06576i) q^{72} +(1.24412 - 8.65302i) q^{73} +(6.62215 - 3.30042i) q^{74} +(-10.3519 + 1.48838i) q^{75} +(-6.52066 - 0.489171i) q^{76} +(-5.24272 - 8.15783i) q^{77} +(0.996086 + 0.256082i) q^{78} +(10.9287 - 3.20895i) q^{79} +(-1.52505 - 0.459343i) q^{80} +(7.34907 - 8.48128i) q^{81} +(-0.352142 + 0.845980i) q^{82} +(-0.262178 + 0.119733i) q^{83} +(14.2726 - 14.1736i) q^{84} +(-0.380164 + 1.29472i) q^{85} +(8.07808 - 13.5611i) q^{86} +(6.02811 - 13.1997i) q^{87} +(4.82149 + 3.38504i) q^{88} +(-2.65280 - 1.70485i) q^{89} +(-0.0318598 - 0.937778i) q^{90} -1.56743i q^{91} +(2.01906 + 9.37675i) q^{92} +7.55536i q^{93} +(12.1254 - 0.411943i) q^{94} +(1.09519 + 0.703833i) q^{95} +(-4.77429 + 11.2485i) q^{96} +(-2.67106 + 5.84880i) q^{97} +(-17.8318 - 10.6221i) q^{98} +(-0.977788 + 3.33004i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) \) 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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