LMFDB - Embedded newform 184.2.p.a.13.12

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)

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);

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")

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			13.12
Character	$\chi$	$=$	184.13
Dual form			184.2.p.a.85.12

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.248677 - 1.39218i) q^{2} +(-1.16787 + 1.81725i) q^{3} +(-1.87632 - 0.692406i) q^{4} +(0.362199 + 0.165411i) q^{5} +(2.23951 + 2.07779i) q^{6} +(4.46721 + 1.31169i) q^{7} +(-1.43055 + 2.43999i) q^{8} +(-0.692209 - 1.51573i) q^{9} +(0.320351 - 0.463111i) q^{10} +(1.57409 + 1.36396i) q^{11} +(3.44957 - 2.60109i) q^{12} +(0.0948485 + 0.323024i) q^{13} +(2.93700 - 5.89297i) q^{14} +(-0.723593 + 0.465025i) q^{15} +(3.04115 + 2.59835i) q^{16} +(-0.482284 - 3.35436i) q^{17} +(-2.28230 + 0.586751i) q^{18} +(3.23621 + 0.465297i) q^{19} +(-0.565069 - 0.561151i) 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} +(0.473294 - 0.0517172i) q^{26} +(-2.85167 - 0.410009i) q^{27} +(-7.47369 - 5.55428i) q^{28} +(-6.64920 + 0.956010i) q^{29} +(0.467457 + 1.12301i) q^{30} +(-2.94236 + 1.89094i) q^{31} +(4.37363 - 3.58767i) q^{32} +(-4.31699 + 1.26758i) q^{33} +(-4.78980 - 0.162727i) q^{34} +(1.40105 + 1.21402i) q^{35} +(0.249307 + 3.32327i) q^{36} +(4.75911 - 2.17341i) q^{37} +(1.45255 - 4.38967i) q^{38} +(-0.697785 - 0.204888i) q^{39} +(-0.921742 + 0.647131i) q^{40} +(0.269169 - 0.589399i) q^{41} +(7.27892 + 12.2195i) q^{42} +(6.03436 - 9.38965i) q^{43} +(-2.00909 - 3.64914i) q^{44} -0.663492i q^{45} +(6.77873 + 0.221023i) q^{46} -8.57887 q^{47} +(-8.27351 + 2.49197i) q^{48} +(12.3467 + 7.93472i) q^{49} +(-5.88230 + 3.50398i) q^{50} +(6.65894 + 3.04103i) q^{51} +(0.0456978 - 0.671770i) q^{52} +(1.89523 - 6.45455i) q^{53} +(-1.27995 + 3.86808i) q^{54} +(0.344521 + 0.754396i) q^{55} +(-9.59108 + 9.02349i) q^{56} +(-4.62504 + 5.33758i) q^{57} +(-0.322567 + 9.49461i) q^{58} +(-3.19060 - 10.8662i) q^{59} +(1.67968 - 0.371516i) q^{60} +(1.47146 + 2.28964i) q^{61} +(1.90083 + 4.56652i) q^{62} +(-1.10408 - 7.67903i) q^{63} +(-3.90705 - 6.98104i) q^{64} +(-0.0190776 + 0.132688i) q^{65} +(0.691164 + 6.32524i) 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} +(4.68859 + 0.479342i) q^{72} +(1.24412 - 8.65302i) q^{73} +(-1.84229 - 7.16600i) q^{74} +(10.3519 - 1.48838i) q^{75} +(-5.74999 - 3.11382i) q^{76} +(5.24272 + 8.15783i) q^{77} +(-0.458764 + 0.920490i) q^{78} +(10.9287 - 3.20895i) q^{79} +(0.671705 + 1.44416i) q^{80} +(7.34907 - 8.48128i) q^{81} +(-0.753612 - 0.521302i) q^{82} +(0.262178 - 0.119733i) q^{83} +(18.8218 - 7.09485i) q^{84} +(0.380164 - 1.29472i) q^{85} +(-11.5715 - 10.7359i) q^{86} +(6.02811 - 13.1997i) q^{87} +(-5.57987 + 1.88955i) q^{88} +(-2.65280 - 1.70485i) q^{89} +(-0.923699 - 0.164995i) q^{90} +1.56743i q^{91} +(1.99342 - 9.38223i) q^{92} -7.55536i q^{93} +(-2.13337 + 11.9433i) q^{94} +(1.09519 + 0.703833i) q^{95} +(1.41184 + 12.1379i) q^{96} +(-2.67106 + 5.84880i) q^{97} +(14.1169 - 15.2156i) 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 $

$2$	0.248677	−	1.39218i	0.175841	−	0.984419i
$2$	0.248677	−	1.39218i	0.175841	−	0.984419i
$3$	−1.16787	+	1.81725i	−0.674272	+	1.04919i	0.320519	+	0.947242i	$0.396143\pi$
$3$	−1.16787	+	1.81725i	−0.674272	+	1.04919i	−0.994790	+	0.101945i	$0.967494\pi$
$4$	−1.87632	−	0.692406i	−0.938160	−	0.346203i
$5$	0.362199	+	0.165411i	0.161980	+	0.0739738i	0.494755	−	0.869032i	$-0.335258\pi$
$5$	0.362199	+	0.165411i	0.161980	+	0.0739738i	−0.332775	+	0.943006i	$0.607985\pi$
$6$	2.23951	+	2.07779i	0.914274	+	0.848256i
$7$	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	$0.248542\pi$
$8$	−1.43055	+	2.43999i	−0.505776	+	0.862665i
$9$	−0.692209	−	1.51573i	−0.230736	−	0.505242i
$10$	0.320351	−	0.463111i	0.101304	−	0.146449i
$11$	1.57409	+	1.36396i	0.474607	+	0.411250i	0.859044	−	0.511902i	$-0.171059\pi$
$11$	1.57409	+	1.36396i	0.474607	+	0.411250i	−0.384437	+	0.923151i	$0.625604\pi$
$12$	3.44957	−	2.60109i	0.995806	−	0.750870i
$13$	0.0948485	+	0.323024i	0.0263062	+	0.0895908i	0.971600	−	0.236630i	$-0.0760429\pi$
$13$	0.0948485	+	0.323024i	0.0263062	+	0.0895908i	−0.945294	+	0.326221i	$0.894225\pi$
$14$	2.93700	−	5.89297i	0.784947	−	1.57496i
$15$	−0.723593	+	0.465025i	−0.186831	+	0.120069i
$16$	3.04115	+	2.59835i	0.760287	+	0.649587i
$17$	−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	$-0.180260\pi$
$18$	−2.28230	+	0.586751i	−0.537942	+	0.138299i
$19$	3.23621	+	0.465297i	0.742438	+	0.106746i	0.503146	−	0.864201i	$-0.332176\pi$
$19$	3.23621	+	0.465297i	0.742438	+	0.106746i	0.239292	+	0.970948i	$0.423085\pi$
$20$	−0.565069	−	0.561151i	−0.126353	−	0.125477i
$21$	−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
$26$	0.473294	−	0.0517172i	0.0928206	−	0.0101426i
$27$	−2.85167	−	0.410009i	−0.548805	−	0.0789062i
$28$	−7.47369	−	5.55428i	−1.41240	−	1.04966i
$29$	−6.64920	+	0.956010i	−1.23473	+	0.177527i	−0.728604	−	0.684936i	$-0.759830\pi$
$29$	−6.64920	+	0.956010i	−1.23473	+	0.177527i	−0.506121	+	0.862462i	$0.668921\pi$
$30$	0.467457	+	1.12301i	0.0853455	+	0.205033i
$31$	−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	$0.419882\pi$
$32$	4.37363	−	3.58767i	0.773156	−	0.634217i
$33$	−4.31699	+	1.26758i	−0.751492	+	0.220658i
$34$	−4.78980	−	0.162727i	−0.821443	−	0.0279075i
$35$	1.40105	+	1.21402i	0.236821	+	0.205206i
$36$	0.249307	+	3.32327i	0.0415512	+	0.553879i
$37$	4.75911	−	2.17341i	0.782392	−	0.357307i	0.0161592	−	0.999869i	$-0.494856\pi$
$37$	4.75911	−	2.17341i	0.782392	−	0.357307i	0.766233	+	0.642563i	$0.222129\pi$
$38$	1.45255	−	4.38967i	0.235634	−	0.712099i
$39$	−0.697785	−	0.204888i	−0.111735	−	0.0328084i
$40$	−0.921742	+	0.647131i	−0.145740	+	0.102320i
$41$	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	$0.120251\pi$
$42$	7.27892	+	12.2195i	1.12316	+	1.88551i
$43$	6.03436	−	9.38965i	0.920232	−	1.43191i	0.0183955	−	0.999831i	$-0.494144\pi$
$43$	6.03436	−	9.38965i	0.920232	−	1.43191i	0.901836	−	0.432078i	$-0.142219\pi$
$44$	−2.00909	−	3.64914i	−0.302882	−	0.550128i
$45$		−	0.663492i		−	0.0989076i
$46$	6.77873	+	0.221023i	0.999469	+	0.0325881i
$47$	−8.57887			−1.25136			−0.625678	−	0.780081i	$-0.715178\pi$
$47$	−8.57887			−1.25136			−0.625678	+	0.780081i	$0.715178\pi$
$48$	−8.27351	+	2.49197i	−1.19418	+	0.359685i
$49$	12.3467	+	7.93472i	1.76381	+	1.13353i
$50$	−5.88230	+	3.50398i	−0.831883	+	0.495537i
$51$	6.65894	+	3.04103i	0.932438	+	0.425830i
$52$	0.0456978	−	0.671770i	0.00633715	−	0.0931578i
$53$	1.89523	−	6.45455i	0.260330	−	0.886601i	−0.720783	−	0.693161i	$-0.756217\pi$
$53$	1.89523	−	6.45455i	0.260330	−	0.886601i	0.981112	−	0.193440i	$-0.0619644\pi$
$54$	−1.27995	+	3.86808i	−0.174179	+	0.526378i
$55$	0.344521	+	0.754396i	0.0464552	+	0.101723i
$56$	−9.59108	+	9.02349i	−1.28166	+	1.20581i
$57$	−4.62504	+	5.33758i	−0.612602	+	0.706980i
$58$	−0.322567	+	9.49461i	−0.0423551	+	1.24670i
$59$	−3.19060	−	10.8662i	−0.415381	−	1.41466i	−0.856005	−	0.516967i	$-0.827061\pi$
$59$	−3.19060	−	10.8662i	−0.415381	−	1.41466i	0.440624	−	0.897692i	$-0.354757\pi$
$60$	1.67968	−	0.371516i	0.216845	−	0.0479624i
$61$	1.47146	+	2.28964i	0.188402	+	0.293159i	0.922586	−	0.385792i	$-0.126072\pi$
$61$	1.47146	+	2.28964i	0.188402	+	0.293159i	−0.734184	+	0.678950i	$0.762435\pi$
$62$	1.90083	+	4.56652i	0.241405	+	0.579948i
$63$	−1.10408	−	7.67903i	−0.139101	−	0.967467i
$64$	−3.90705	−	6.98104i	−0.488382	−	0.872630i
$65$	−0.0190776	+	0.132688i	−0.00236629	+	0.0164579i
$66$	0.691164	+	6.32524i	0.0850765	+	0.778584i
$67$	−6.90654	+	5.98455i	−0.843768	+	0.731129i	−0.965212	−	0.261469i	$-0.915793\pi$
$67$	−6.90654	+	5.98455i	−0.843768	+	0.731129i	0.121444	+	0.992598i	$0.461248\pi$
$68$	−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	$0.659073\pi$
$72$	4.68859	+	0.479342i	0.552555	+	0.0564910i
$73$	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	$-0.125488\pi$
$74$	−1.84229	−	7.16600i	−0.214162	−	0.833031i
$75$	10.3519	−	1.48838i	1.19533	−	0.171863i
$76$	−5.74999	−	3.11382i	−0.659569	−	0.357179i
$77$	5.24272	+	8.15783i	0.597463	+	0.929671i
$78$	−0.458764	+	0.920490i	−0.0519448	+	0.104225i
$79$	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	$0.187718\pi$
$80$	0.671705	+	1.44416i	0.0750989	+	0.161462i
$81$	7.34907	−	8.48128i	0.816563	−	0.942364i
$82$	−0.753612	−	0.521302i	−0.0832225	−	0.0575682i
$83$	0.262178	−	0.119733i	0.0287778	−	0.0131424i	−0.400974	−	0.916089i	$-0.631328\pi$
$83$	0.262178	−	0.119733i	0.0287778	−	0.0131424i	0.429752	+	0.902947i	$0.358601\pi$
$84$	18.8218	−	7.09485i	2.05363	−	0.774111i
$85$	0.380164	−	1.29472i	0.0412345	−	0.140432i
$86$	−11.5715	−	10.7359i	−1.24778	−	1.15768i
$87$	6.02811	−	13.1997i	0.646281	−	1.41516i
$88$	−5.57987	+	1.88955i	−0.594816	+	0.201427i
$89$	−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	$0.735268\pi$
$90$	−0.923699	−	0.164995i	−0.0973664	−	0.0173920i
$91$			1.56743i			0.164311i
$92$	1.99342	−	9.38223i	0.207828	−	0.978165i
$93$		−	7.55536i		−	0.783454i
$94$	−2.13337	+	11.9433i	−0.220040	+	1.23186i
$95$	1.09519	+	0.703833i	0.112364	+	0.0722118i
$96$	1.41184	+	12.1379i	0.144095	+	1.23882i
$97$	−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	$0.242208\pi$
$98$	14.1169	−	15.2156i	1.42602	−	1.53701i
$99$	0.977788	−	3.33004i	0.0982714	−	0.334682i
$100$	3.41537	+	9.06057i	0.341537	+	0.906057i
$101$	3.63931	−	1.66202i	0.362125	−	0.165377i	−0.226040	−	0.974118i	$-0.572578\pi$
$101$	3.63931	−	1.66202i	0.362125	−	0.165377i	0.588165	+	0.808741i	$0.299851\pi$
$102$	5.88959	−	8.51419i	0.583156	−	0.843030i
$103$	−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	$0.765177\pi$
$104$	−0.923860	−	0.230673i	−0.0905919	−	0.0226194i
$105$	−3.84241	+	1.12823i	−0.374981	+	0.110104i
$106$	−8.51459	−	4.24359i	−0.827010	−	0.412174i
$107$	−8.08811	−	12.5854i	−0.781908	−	1.21667i	−0.972017	−	0.234909i	$-0.924521\pi$
$107$	−8.08811	−	12.5854i	−0.781908	−	1.21667i	0.190110	−	0.981763i	$-0.439116\pi$
$108$	5.06676	+	2.74382i	0.487549	+	0.264024i
$109$	7.24438	−	1.04158i	0.693886	−	0.0997657i	0.213657	−	0.976909i	$-0.431463\pi$
$109$	7.24438	−	1.04158i	0.693886	−	0.0997657i	0.480229	+	0.877143i	$0.340554\pi$
$110$	1.13593	−	0.292034i	0.108307	−	0.0278443i
$111$	−1.60841	+	11.1867i	−0.152663	+	1.06180i
$112$	10.1772	+	15.5964i	0.961657	+	1.47372i
$113$	−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
$118$	−15.9211	+	1.73971i	−1.46566	+	0.160154i
$119$	2.24542	−	15.6172i	0.205837	−	1.43163i
$120$	−0.0995182	−	2.43080i	−0.00908473	−	0.221900i
$121$	−0.948078	−	6.59403i	−0.0861889	−	0.599457i
$122$	3.55351	−	1.47916i	0.321720	−	0.133917i
$123$	0.756727	+	1.17749i	0.0682317	+	0.106171i
$124$	6.83010	−	1.51070i	0.613361	−	0.135665i
$125$	−1.10402	−	3.75995i	−0.0987466	−	0.336300i
$126$	−10.9651	−	0.372526i	−0.976852	−	0.0331873i
$127$	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	$0.226053\pi$
$128$	−10.6904	+	3.70329i	−0.944911	+	0.327328i
$129$	10.0159	+	21.9318i	0.881854	+	1.93099i
$130$	0.179981	+	0.0595559i	0.0157854	+	0.00522340i
$131$	−4.17012	+	14.2021i	−0.364345	+	1.24085i	0.549744	+	0.835333i	$0.314725\pi$
$131$	−4.17012	+	14.2021i	−0.364345	+	1.24085i	−0.914089	+	0.405513i	$0.867093\pi$
$132$	8.97774	+	0.610719i	0.781412	+	0.0531563i
$133$	13.8465	+	6.32349i	1.20065	+	0.548316i
$134$	6.61406	+	11.1034i	0.571368	+	0.959184i
$135$	−0.965052	−	0.620201i	−0.0830584	−	0.0533784i
$136$	8.87451	+	3.62181i	0.760983	+	0.310568i
$137$	−12.0183			−1.02679			−0.513397	−	0.858151i	$-0.671613\pi$
$137$	−12.0183			−1.02679			−0.513397	+	0.858151i	$0.671613\pi$
$138$	−8.31834	+	12.0605i	−0.708104	+	1.02666i
$139$			21.2392i			1.80148i	0.434354	+	0.900742i	$0.356977\pi$
$139$			21.2392i			1.80148i	−0.434354	+	0.900742i	$0.643023\pi$
$140$	−1.78822	−	3.24798i	−0.151133	−	0.274504i
$141$	10.0190	−	15.5899i	0.843754	−	1.31291i
$142$	7.15649	−	4.26299i	0.600559	−	0.357742i
$143$	−0.291292	+	0.637840i	−0.0243591	+	0.0533389i
$144$	1.83327	−	6.40814i	0.152773	−	0.534012i
$145$	−2.56646	−	0.753582i	−0.213133	−	0.0625816i
$146$	−11.7372	−	3.88384i	−0.971374	−	0.321429i
$147$	−28.8387	+	13.1702i	−2.37857	+	1.08626i
$148$	−10.4345	+	0.782781i	−0.857709	+	0.0643442i
$149$	8.90489	+	7.71613i	0.729517	+	0.632130i	0.938296	−	0.345833i	$-0.112404\pi$
$149$	8.90489	+	7.71613i	0.729517	+	0.632130i	−0.208779	+	0.977963i	$0.566949\pi$
$150$	0.502192	−	14.7818i	0.0410038	−	1.20693i
$151$	−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	$0.481600\pi$
$152$	−5.76488	+	7.23068i	−0.467593	+	0.586485i
$153$	−4.75044	+	3.05292i	−0.384051	+	0.246814i
$154$	12.6609	−	5.27013i	1.02024	−	0.424679i
$155$	−1.37850	+	0.198198i	−0.110724	+	0.0159197i
$156$	1.16740	+	0.867586i	0.0934670	+	0.0694625i
$157$	−11.8786	−	1.70788i	−0.948015	−	0.136304i	−0.349072	−	0.937096i	$-0.613503\pi$
$157$	−11.8786	−	1.70788i	−0.948015	−	0.136304i	−0.598943	+	0.800792i	$0.704412\pi$
$158$	−1.74972	−	16.0127i	−0.139200	−	1.27390i
$159$	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	−0.328243	−	0.944593i	$-0.606457\pi$
$163$	7.14987	−	6.19540i	0.560021	−	0.485261i	0.888265	+	0.459332i	$0.151911\pi$
$164$	−0.913151	+	0.919526i	−0.0713051	+	0.0718029i
$165$	−1.77328	−	0.254959i	−0.138050	−	0.0198485i
$166$	−0.101491	−	0.394773i	−0.00787726	−	0.0306403i
$167$	−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	$-0.286575\pi$
$168$	−5.19674	−	27.9676i	−0.400937	−	2.15775i
$169$	10.8409	−	6.96705i	0.833919	−	0.535927i
$170$	−1.70794	−	0.851222i	−0.130993	−	0.0652858i
$171$	−1.53487	−	5.22729i	−0.117375	−	0.399741i
$172$	−17.8238	+	13.4398i	−1.35906	+	1.02477i
$173$	11.8764	+	10.2909i	0.902943	+	0.782405i	0.976641	−	0.214876i	$-0.0689347\pi$
$173$	11.8764	+	10.2909i	0.902943	+	0.782405i	−0.0736982	+	0.997281i	$0.523480\pi$
$174$	−16.8773	−	11.6747i	−1.27947	−	0.885055i
$175$	−9.36381	−	20.5039i	−0.707837	−	1.54995i
$176$	1.24301	+	8.23805i	0.0936954	+	0.620967i
$177$	23.4728	+	6.89222i	1.76432	+	0.518051i
$178$	−3.03315	+	3.26922i	−0.227344	+	0.245038i
$179$	−18.4051	−	8.40533i	−1.37566	−	0.628244i	−0.415991	−	0.909369i	$-0.636565\pi$
$179$	−18.4051	−	8.40533i	−1.37566	−	0.628244i	−0.959671	+	0.281125i	$0.909293\pi$
$180$	−0.459406	+	1.24492i	−0.0342421	+	0.0927911i
$181$	−2.69209	+	4.18898i	−0.200102	+	0.311364i	−0.926774	−	0.375620i	$-0.877430\pi$
$181$	−2.69209	+	4.18898i	−0.200102	+	0.311364i	0.726672	+	0.686985i	$0.241066\pi$
$182$	2.18214	+	0.389784i	0.161751	+	0.0288927i
$183$	−5.87932			−0.434612
$184$	−12.5660	−	5.10834i	−0.926379	−	0.376592i
$185$	2.08325			0.153163
$186$	−10.5184	−	1.87885i	−0.771247	−	0.137764i
$187$	3.81605	−	5.93789i	0.279057	−	0.434222i
$188$	16.0967	+	5.94006i	1.17397	+	0.433223i
$189$	−12.2012	−	5.57211i	−0.887508	−	0.405311i
$190$	1.25221	−	1.34967i	0.0908448	−	0.0979151i
$191$	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	$0.304127\pi$
$192$	17.2492	+	1.05289i	1.24485	+	0.0759858i
$193$	−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	$0.883369\pi$
$194$	7.47834	+	5.17305i	0.536913	+	0.371403i
$195$	−0.218846	−	0.189631i	−0.0156719	−	0.0135798i
$196$	−17.6723	−	23.4370i	−1.26230	−	1.67407i
$197$	1.33692	+	4.55314i	0.0952517	+	0.324398i	0.993310	−	0.115479i	$-0.0368403\pi$
$197$	1.33692	+	4.55314i	0.0952517	+	0.324398i	−0.898058	+	0.439877i	$0.855022\pi$
$198$	−4.39286	−	2.18936i	−0.312187	−	0.155591i
$199$	−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	$0.415162\pi$
$200$	13.4632	−	2.50164i	0.951995	−	0.176893i
$201$	−2.80944	−	19.5401i	−0.198162	−	1.37825i
$202$	−1.40881	−	5.47987i	−0.0991235	−	0.385562i
$203$	−30.9574	−	4.45100i	−2.17278	−	0.312399i
$204$	−10.3887	−	10.3166i	−0.727352	−	0.722309i
$205$	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
$210$	0.615183	+	5.62989i	0.0424516	+	0.388499i
$211$	25.1324	+	3.61350i	1.73019	+	0.248763i	0.934251	−	0.356616i	$-0.116070\pi$
$211$	25.1324	+	3.61350i	1.73019	+	0.248763i	0.795937	+	0.605380i	$0.206979\pi$
$212$	−8.02522	+	10.7985i	−0.551174	+	0.741646i
$213$	−12.5942	+	1.81078i	−0.862943	+	0.124072i
$214$	−19.5324	+	8.13041i	−1.33521	+	0.555783i
$215$	3.73878	−	2.40277i	0.254983	−	0.163868i
$216$	5.07987	−	6.37150i	0.345642	−	0.433526i
$217$	−15.6245	+	4.58776i	−1.06066	+	0.311437i
$218$	0.351441	−	10.3445i	0.0238026	−	0.700617i
$219$	14.2717	+	12.3665i	0.964391	+	0.835649i
$220$	−0.124084	−	1.65404i	−0.00836571	−	0.111515i
$221$	1.03779	−	0.473945i	0.0698096	−	0.0318810i
$222$	15.1739	+	5.02108i	1.01841	+	0.336992i
$223$	−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	$0.645178\pi$
$224$	24.2438	−	10.2900i	1.61986	−	0.687532i
$225$	−3.35129	+	7.33831i	−0.223420	+	0.489221i
$226$	−13.0468	+	7.77173i	−0.867859	+	0.516968i
$227$	−0.148780	+	0.231507i	−0.00987489	+	0.0153656i	−0.846156	−	0.532935i	$-0.821089\pi$
$227$	−0.148780	+	0.231507i	−0.00987489	+	0.0153656i	0.836281	+	0.548301i	$0.184725\pi$
$228$	12.3738	−	6.81260i	0.819477	−	0.451176i
$229$		−	13.7586i		−	0.909192i	−0.890698	−	0.454596i	$-0.849784\pi$
$229$		−	13.7586i		−	0.909192i	0.890698	−	0.454596i	$-0.150216\pi$
$230$	2.41869	+	1.20133i	0.159483	+	0.0792132i
$231$	−20.9476			−1.37825
$232$	7.17936	−	17.5916i	0.471348	−	1.15494i
$233$	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	$0.515226\pi$
$234$	−0.406007	−	0.681584i	−0.0265415	−	0.0445566i
$235$	−3.10725	−	1.41904i	−0.202695	−	0.0925676i
$236$	−1.53723	+	22.5976i	−0.100065	+	1.47098i
$237$	−6.93186	+	23.6077i	−0.450273	+	1.53349i
$238$	−21.1836	−	7.00967i	−1.37313	−	0.454370i
$239$	−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	$0.868172\pi$
$240$	−3.40885	−	0.465937i	−0.220040	−	0.0300761i
$241$	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	$0.115841\pi$
$242$	−9.41583	−	0.319891i	−0.605272	−	0.0205633i
$243$	4.39478	+	14.9672i	0.281925	+	0.960148i
$244$	−1.17557	−	5.31495i	−0.0752584	−	0.340255i
$245$	3.15946	+	4.91622i	0.201850	+	0.314085i
$246$	1.82746	−	0.760683i	0.116514	−	0.0484994i
$247$	0.156647	+	1.08951i	0.00996724	+	0.0693237i
$248$	−0.404672	−	9.88439i	−0.0256967	−	0.627659i
$249$	−0.0886068	+	0.616274i	−0.00561523	+	0.0390548i
$250$	−5.50906	+	0.601980i	−0.348424	+	0.0380725i
$251$	6.85725	−	5.94184i	0.432826	−	0.375046i	−0.411025	−	0.911624i	$-0.634829\pi$
$251$	6.85725	−	5.94184i	0.432826	−	0.375046i	0.843850	+	0.536579i	$0.180284\pi$
$252$	−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
$256$	2.49717	+	15.8039i	0.156073	+	0.987746i
$257$	−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	$0.965371\pi$
$258$	33.0238	−	8.49002i	2.05597	−	0.528565i
$259$	24.1108	−	3.46661i	1.49817	−	0.215404i
$260$	0.127670	−	0.235755i	0.00791773	−	0.0146209i
$261$	6.05168	+	9.41660i	0.374590	+	0.582873i
$262$	18.7349	+	9.33730i	1.15744	+	0.576860i
$263$	−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	$0.419925\pi$
$264$	3.08279	−	12.3467i	0.189733	−	0.759889i
$265$	1.75410	−	2.02434i	0.107753	−	0.124354i
$266$	12.2467	−	17.7043i	0.750896	−	1.08552i
$267$	6.19627	−	2.82974i	0.379206	−	0.173177i
$268$	17.1026	−	6.44680i	1.04471	−	0.393801i
$269$	−7.36897	+	25.0964i	−0.449294	+	1.53016i	0.354389	+	0.935098i	$0.384689\pi$
$269$	−7.36897	+	25.0964i	−0.449294	+	1.53016i	−0.803683	+	0.595058i	$0.797129\pi$
$270$	−1.10342	+	1.18929i	−0.0671518	+	0.0723781i
$271$	−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	$0.163660\pi$
$272$	7.24909	−	11.4542i	0.439541	−	0.694515i
$273$	−2.84840	−	1.83056i	−0.172393	−	0.110790i
$274$	−2.98868	+	16.7316i	−0.180553	+	1.01079i
$275$		−	10.0839i		−	0.608082i
$276$	14.7218	+	14.5798i	0.886146	+	0.877600i
$277$		−	8.50250i		−	0.510865i	−0.966827	−	0.255433i	$-0.917782\pi$
$277$		−	8.50250i		−	0.510865i	0.966827	−	0.255433i	$-0.0822179\pi$
$278$	29.5687	+	5.28170i	1.77341	+	0.316775i
$279$	4.90287	+	3.15088i	0.293527	+	0.188638i
$280$	−4.96645	+	1.68183i	−0.296802	+	0.100509i
$281$	−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	$0.245511\pi$
$282$	−19.2124	−	17.8251i	−1.14408	−	1.06147i
$283$	−7.18321	+	24.4638i	−0.426998	+	1.45422i	0.412550	+	0.910935i	$0.364638\pi$
$283$	−7.18321	+	24.4638i	−0.426998	+	1.45422i	−0.839548	+	0.543286i	$0.817180\pi$
$284$	−4.15518	−	11.0232i	−0.246565	−	0.654107i
$285$	−2.55808	+	1.16823i	−0.151527	+	0.0692002i
$286$	0.815550	+	0.564146i	0.0482245	+	0.0333587i
$287$	1.97555	−	2.27990i	0.116613	−	0.134578i
$288$	−8.46539	−	4.14580i	−0.498828	−	0.244294i
$289$	5.29226	−	1.55395i	0.311310	−	0.0914088i
$290$	−1.68734	+	3.38558i	−0.0990841	+	0.198808i
$291$	−7.50925	−	11.6846i	−0.440200	−	0.684964i
$292$	−8.32576	+	15.3744i	−0.487228	+	0.899718i
$293$	−2.75426	+	0.396002i	−0.160905	+	0.0231347i	−0.222297	−	0.974979i	$-0.571355\pi$
$293$	−2.75426	+	0.396002i	−0.160905	+	0.0231347i	0.0613913	+	0.998114i	$0.480446\pi$
$294$	11.1637	+	43.4237i	0.651081	+	2.53252i
$295$	0.641752	−	4.46348i	0.0373642	−	0.259874i
$296$	−1.50505	+	14.7213i	−0.0874791	+	0.855659i
$297$	−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
$302$	0.852588	+	7.80252i	0.0490609	+	0.448985i
$303$	−1.22996	+	8.55453i	−0.0706591	+	0.491445i
$304$	8.63280	+	9.82384i	0.495125	+	0.563436i
$305$	0.154231	+	1.07270i	0.00883124	+	0.0614227i
$306$	3.06889	+	7.37266i	0.175437	+	0.421467i
$307$	−12.9051	−	20.0808i	−0.736535	−	1.14607i	−0.984172	−	0.177218i	$-0.943290\pi$
$307$	−12.9051	−	20.0808i	−0.736535	−	1.14607i	0.247636	−	0.968853i	$-0.420346\pi$
$308$	−4.18849	−	18.9368i	−0.238661	−	1.07902i
$309$	−12.2655	−	41.7725i	−0.697761	−	2.37636i
$310$	−0.0668740	+	1.96840i	−0.00379819	+	0.111798i
$311$	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	$0.0480904\pi$
$312$	1.49814	−	1.40948i	0.0848155	−	0.0797962i
$313$	−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	$-0.455306\pi$
$314$	−5.33161	+	16.1124i	−0.300880	+	0.909276i
$315$	0.870297	−	2.96396i	0.0490357	−	0.167000i
$316$	−22.7276	−	1.54607i	−1.27853	−	0.0869730i
$317$	2.36850	+	1.08166i	0.133028	+	0.0607520i	0.480817	−	0.876821i	$-0.340340\pi$
$317$	2.36850	+	1.08166i	0.133028	+	0.0607520i	−0.347789	+	0.937573i	$0.613067\pi$
$318$	17.6556	−	10.5171i	0.990077	−	0.589770i
$319$	−11.7704	−	7.56440i	−0.659018	−	0.423525i
$320$	−0.260392	−	3.17479i	−0.0145563	−	0.177476i
$321$	32.3166			1.80373
$322$	29.9921	+	9.87896i	1.67139	+	0.550533i
$323$		−	11.0798i		−	0.616497i
$324$	−19.6617	+	10.8251i	−1.09232	+	0.601392i
$325$	0.881206	−	1.37118i	0.0488805	−	0.0760596i
$326$	−6.84709	−	11.4946i	−0.379225	−	0.636624i
$327$	−6.56770	+	14.3812i	−0.363194	+	0.795285i
$328$	1.05306	+	1.49993i	0.0581457	+	0.0828200i
$329$	−38.3236	−	11.2528i	−2.11285	−	0.620389i
$330$	−0.795923	+	2.40532i	−0.0438141	+	0.132408i
$331$	0.838379	−	0.382875i	0.0460815	−	0.0210447i	−0.392241	−	0.919862i	$-0.628300\pi$
$331$	0.838379	−	0.382875i	0.0460815	−	0.0210447i	0.438322	+	0.898818i	$0.355573\pi$
$332$	−0.574833	+	0.0431232i	−0.0315480	+	0.00236669i
$333$	−6.58859	−	5.70904i	−0.361052	−	0.312854i
$334$	−25.1002	−	0.852748i	−1.37342	−	0.0466603i
$335$	−3.49145	+	1.02518i	−0.190758	+	0.0560116i
$336$	−40.2282	+	0.279874i	−2.19463	+	0.0152684i
$337$	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	$0.257800\pi$
$338$	−7.00348	−	16.8251i	−0.380939	−	0.915163i
$339$	22.9602	−	3.30118i	1.24703	−	0.179295i
$340$	−1.60978	+	2.16608i	−0.0873025	+	0.117472i
$341$	−7.21071	−	1.03674i	−0.390482	−	0.0561428i
$342$	−7.65901	+	0.836906i	−0.414152	+	0.0452547i
$343$	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	−0.872338	−	0.488904i	$-0.837397\pi$
$347$	−9.54787	+	8.27328i	−0.512557	+	0.444133i	0.359781	+	0.933037i	$0.382851\pi$
$348$	−20.4502	+	20.5930i	−1.09625	+	1.10390i
$349$	−21.1258	−	3.03742i	−1.13084	−	0.162590i	−0.448607	−	0.893729i	$-0.648080\pi$
$349$	−21.1258	−	3.03742i	−1.13084	−	0.162590i	−0.682228	+	0.731139i	$0.738989\pi$
$350$	−30.8736	+	7.93724i	−1.65026	+	0.424263i
$351$	−0.138034	−	0.960048i	−0.00736771	−	0.0512436i
$352$	11.7779	+	0.318124i	0.627767	+	0.0169561i
$353$	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	$0.143921\pi$
$354$	15.4323	−	30.9643i	0.820220	−	1.64574i
$355$	0.660764	+	2.25036i	0.0350697	+	0.119436i
$356$	3.79706	+	5.03567i	0.201244	+	0.266890i
$357$	25.7580	+	22.3194i	1.36326	+	1.18127i
$358$	−16.2786	+	23.5330i	−0.860353	+	1.24376i
$359$	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	$0.793096\pi$
$360$	1.61891	+	0.949158i	0.0853241	+	0.0500250i
$361$	−7.97380	−	2.34132i	−0.419674	−	0.123227i
$362$	5.16234	+	4.78958i	0.271327	+	0.251735i
$363$	13.0902	+	5.97809i	0.687057	+	0.313769i
$364$	1.08530	−	2.94100i	0.0568850	−	0.154150i
$365$	1.88192	−	2.92832i	0.0985040	−	0.153275i
$366$	−1.46205	+	8.18506i	−0.0764227	+	0.427840i
$367$	11.8042			0.616173			0.308086	−	0.951358i	$-0.400311\pi$
$367$	11.8042			0.616173			0.308086	+	0.951358i	$0.400311\pi$
$368$	−10.2366	+	16.2238i	−0.533620	+	0.845725i
$369$	−1.07969			−0.0562063
$370$	0.518056	−	2.90025i	0.0269324	−	0.150777i
$371$	16.9328	−	26.3479i	0.879105	−	1.36791i
$372$	−5.23137	+	14.1763i	−0.271234	+	0.735005i
$373$	−4.33705	−	1.98067i	−0.224564	−	0.102555i	0.299956	−	0.953953i	$-0.403028\pi$
$373$	−4.33705	−	1.98067i	−0.224564	−	0.102555i	−0.524520	+	0.851398i	$0.675755\pi$
$374$	−7.31764	−	6.78924i	−0.378386	−	0.351063i
$375$	8.12210	+	2.38486i	0.419424	+	0.123154i
$376$	12.2725	−	20.9323i	0.632906	−	1.07950i
$377$	−0.939481	−	2.05718i	−0.0483857	−	0.105950i
$378$	−10.7915	+	15.6006i	−0.555057	+	0.802409i
$379$	5.28770	+	4.58182i	0.271611	+	0.235352i	0.780006	−	0.625771i	$-0.215216\pi$
$379$	5.28770	+	4.58182i	0.271611	+	0.235352i	−0.508396	+	0.861124i	$0.669761\pi$
$380$	−1.56758	−	2.07893i	−0.0804152	−	0.106647i
$381$	0.0525620	+	0.179010i	0.00269283	+	0.00917094i
$382$	13.6687	−	27.4257i	0.699352	−	1.40322i
$383$	−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	$0.323687\pi$
$384$	5.75529	−	23.7521i	0.293699	−	1.21210i
$385$	0.549514	+	3.82195i	0.0280058	+	0.194785i
$386$	−2.35767	+	0.606129i	−0.120002	+	0.0308512i
$387$	−18.4092	−	2.64684i	−0.935791	−	0.134546i
$388$	9.06150	−	9.12476i	0.460028	−	0.463239i
$389$	−13.9660	+	12.1016i	−0.708105	+	0.613577i	−0.932606	−	0.360897i	$-0.882470\pi$
$389$	−13.9660	+	12.1016i	−0.708105	+	0.613577i	0.224500	+	0.974474i	$0.427925\pi$
$390$	−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
$394$	6.67124	−	0.728972i	0.336092	−	0.0367251i
$395$	4.48915	+	0.645442i	0.225873	+	0.0324757i
$396$	−4.14038	+	5.57119i	−0.208062	+	0.279963i
$397$	−21.8894	+	3.14723i	−1.09860	+	0.157955i	−0.667689	−	0.744440i	$-0.732716\pi$
$397$	−21.8894	+	3.14723i	−1.09860	+	0.157955i	−0.430910	+	0.902395i	$0.641807\pi$
$398$	4.59965	+	11.0501i	0.230560	+	0.553893i
$399$	−27.6623	+	17.7775i	−1.38485	+	0.889987i
$400$	−0.134728	−	19.3653i	−0.00673639	−	0.968267i
$401$	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	$0.318724\pi$
$402$	−27.9019	−	0.947931i	−1.39162	−	0.0472785i
$403$	−0.889897	−	0.771100i	−0.0443289	−	0.0384112i
$404$	−7.97929	+	0.598595i	−0.396985	+	0.0297812i
$405$	4.06472	−	1.85629i	0.201977	−	0.0922400i
$406$	−13.8950	+	41.9913i	−0.689596	+	2.08399i
$407$	10.4557	+	3.07008i	0.518271	+	0.152178i
$408$	−16.9460	+	11.8974i	−0.838953	+	0.589007i
$409$	−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	$0.232147\pi$
$410$	−0.186728	−	0.313470i	−0.00922185	−	0.0154812i
$411$	14.0359	−	21.8402i	0.692338	−	1.07730i
$412$	35.3101	−	19.4406i	1.73961	−	0.957767i
$413$		−	52.7267i		−	2.59451i
$414$	−4.35728	−	10.4277i	−0.214149	−	0.512493i
$415$	0.114765			0.00563361
$416$	1.57374	+	1.07250i	0.0771588	+	0.0525838i
$417$	−38.5968	−	24.8047i	−1.89009	−	1.21469i
$418$	8.27379	−	4.92854i	0.404684	−	0.241063i
$419$	28.3627	+	12.9528i	1.38561	+	0.632785i	0.961997	−	0.273060i	$-0.0880356\pi$
$419$	28.3627	+	12.9528i	1.38561	+	0.632785i	0.423609	+	0.905845i	$0.360763\pi$
$420$	7.99079	+	0.543581i	0.389911	+	0.0265240i
$421$	−2.70878	+	9.22526i	−0.132018	+	0.449612i	−0.998795	−	0.0490847i	$-0.984370\pi$
$421$	−2.70878	+	9.22526i	−0.132018	+	0.449612i	0.866777	+	0.498696i	$0.166188\pi$
$422$	11.2805	−	34.0902i	0.549126	−	1.65949i
$423$	5.93837	+	13.0032i	0.288733	+	0.632238i
$424$	13.0378	+	13.8579i	0.633171	+	0.672998i
$425$	−10.7443	+	12.3996i	−0.521174	+	0.601467i
$426$	−0.610974	+	17.9837i	−0.0296018	+	0.871314i
$427$	3.57004	+	12.1584i	0.172766	+	0.588387i
$428$	6.46172	+	29.2144i	0.312339	+	1.41213i
$429$	−0.818920	−	1.27426i	−0.0395378	−	0.0615221i
$430$	−2.41533	−	5.80257i	−0.116478	−	0.279825i
$431$	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	$0.619734\pi$
$432$	−7.60701	−	8.65654i	−0.365993	−	0.416488i
$433$	−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	$0.857478\pi$
$434$	2.50153	+	22.8929i	0.120077	+	1.09889i
$435$	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	$0.871860\pi$
$440$	−2.33357	−	0.238575i	−0.111249	−	0.0113736i
$441$	3.48039	−	24.2066i	0.165733	−	1.15270i
$442$	−0.401740	−	1.56265i	−0.0191088	−	0.0743279i
$443$	−9.59419	+	1.37944i	−0.455834	+	0.0655390i	−0.366407	−	0.930454i	$-0.619412\pi$
$443$	−9.59419	+	1.37944i	−0.455834	+	0.0655390i	−0.0894261	+	0.995993i	$0.528503\pi$
$444$	10.7636	−	19.8762i	0.510820	−	0.943283i
$445$	−0.678841	−	1.05630i	−0.0321801	−	0.0500733i
$446$	−3.19657	+	6.41378i	−0.151362	+	0.303701i
$447$	−24.4219	+	7.17091i	−1.15512	+	0.339172i
$448$	−8.29667	−	36.3106i	−0.391981	−	1.71552i
$449$	−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	$0.277113\pi$
$450$	9.38284	+	6.49047i	0.442312	+	0.305964i
$451$	1.22762	−	0.560633i	0.0578061	−	0.0263992i
$452$	7.57519	+	20.0961i	0.356307	+	0.945241i
$453$	3.37770	−	11.5034i	0.158698	−	0.540476i
$454$	0.285300	+	0.264699i	0.0133898	+	0.0124229i
$455$	−0.259269	+	0.567721i	−0.0121547	+	0.0266152i
$456$	−6.40727	−	18.9207i	−0.300048	−	0.886043i
$457$	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	$0.590812\pi$
$458$	−19.1544	−	3.42144i	−0.895025	−	0.159874i
$459$			9.76327i			0.455710i
$460$	2.27393	−	3.06850i	0.106023	−	0.143069i
$461$			1.89376i			0.0882013i	0.999027	+	0.0441006i	$0.0140422\pi$
$461$			1.89376i			0.0882013i	−0.999027	+	0.0441006i	$0.985958\pi$
$462$	−5.20919	+	29.1628i	−0.242353	+	1.35678i
$463$	−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	$0.962858\pi$
$464$	−22.7052	−	14.3696i	−1.05406	−	0.667090i
$465$	1.24974	−	2.73654i	0.0579551	−	0.126904i
$466$	14.6763	−	15.8186i	0.679868	−	0.732782i
$467$	2.42735	−	8.26679i	0.112324	−	0.382541i	−0.884073	−	0.467349i	$-0.845209\pi$
$467$	2.42735	−	8.26679i	0.112324	−	0.382541i	0.996397	+	0.0848074i	$0.0270275\pi$
$468$	−1.04985	+	0.395740i	−0.0485294	+	0.0182931i
$469$	−38.7029	+	17.6750i	−1.78713	+	0.816156i
$470$	−2.74825	+	3.97297i	−0.126767	+	0.183259i
$471$	16.9763	−	19.5917i	0.782228	−	0.902739i
$472$	31.0777	+	7.75961i	1.43047	+	0.357165i
$473$	22.3058	−	6.54957i	1.02562	−	0.301149i
$474$	31.1424	+	15.5211i	1.43042	+	0.712907i
$475$	−8.55785	−	13.3163i	−0.392661	−	0.610992i
$476$	−15.0266	+	27.7482i	−0.688742	+	1.27184i
$477$	−11.0952	+	1.59525i	−0.508015	+	0.0730416i
$478$	−0.603469	+	0.155145i	−0.0276020	+	0.00709615i
$479$	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	$-0.169139\pi$
$480$	−1.49637	+	4.62986i	−0.0682997	+	0.211323i
$481$	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
$486$	21.9299	−	2.39630i	0.994762	−	0.108698i
$487$	−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	$0.745269\pi$
$488$	−7.69169	+	0.314902i	−0.348187	+	0.0142550i
$489$	2.90842	+	20.2285i	0.131523	+	0.914765i
$490$	7.62993	−	3.17598i	0.344685	−	0.143476i
$491$	17.9423	+	27.9188i	0.809725	+	1.25996i	0.962388	+	0.271678i	$0.0875785\pi$
$491$	17.9423	+	27.9188i	0.809725	+	1.25996i	−0.152664	+	0.988278i	$0.548785\pi$
$492$	−0.604560	−	2.73331i	−0.0272557	−	0.123227i
$493$	6.41360	+	21.8427i	0.288854	+	0.983747i
$494$	1.55574	+	0.0528544i	0.0699962	+	0.00237803i
$495$	0.904977	−	1.04440i	0.0406757	−	0.0469423i
$496$	−13.8615	−	1.89465i	−0.622398	−	0.0850721i
$497$	11.3921	+	24.9453i	0.511007	+	1.11895i
$498$	0.835928	+	0.276610i	0.0374588	+	0.0123952i
$499$	0.846075	−	2.88147i	0.0378755	−	0.128992i	−0.938385	−	0.345591i	$-0.887678\pi$
$499$	0.846075	−	2.88147i	0.0378755	−	0.128992i	0.976261	+	0.216599i	$0.0694965\pi$
$500$	−0.531915	+	7.81929i	−0.0237880	+	0.349689i
$501$	34.8952	+	15.9361i	1.55900	+	0.711973i
$502$	−6.56686	−	11.0241i	−0.293093	−	0.492030i
$503$	−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	$0.707961\pi$
$504$	20.3162	+	8.29130i	0.904954	+	0.369324i
$505$	1.59307			0.0708905
$506$	10.3689	+	9.59383i	0.460954	+	0.426498i
$507$			27.8373i			1.23630i
$508$	−0.151316	+	0.0833095i	−0.00671357	+	0.00369626i
$509$	−22.5018	+	35.0136i	−0.997377	+	1.55195i	−0.173771	+	0.984786i	$0.555595\pi$
$509$	−22.5018	+	35.0136i	−0.997377	+	1.55195i	−0.823606	+	0.567163i	$0.808041\pi$
$510$	3.54154	−	2.10963i	0.156822	−	0.0934159i
$511$	16.9078	−	37.0230i	0.747958	−	1.63780i
$512$	22.6229	+	0.453572i	0.999799	+	0.0200452i
$513$	−9.03784	−	2.65375i	−0.399030	−	0.117166i
$514$	10.7164	+	3.54608i	0.472682	+	0.156411i
$515$	−7.29976	+	3.33369i	−0.321666	+	0.146900i
$516$	−3.60736	−	48.0862i	−0.158805	−	2.11688i
$517$	−13.5040	−	11.7012i	−0.593903	−	0.514620i
$518$	1.16967	−	34.4286i	0.0513922	−	1.51270i
$519$	−32.5712	+	9.56377i	−1.42972	+	0.419803i
$520$	−0.296465	−	0.236366i	−0.0130008	−	0.0103653i
$521$	−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	$0.411015\pi$
$522$	14.6145	−	6.08332i	0.639659	−	0.266260i
$523$	11.7743	−	1.69289i	0.514855	−	0.0740249i	0.120010	−	0.992773i	$-0.461707\pi$
$523$	11.7743	−	1.69289i	0.514855	−	0.0740249i	0.394845	+	0.918748i	$0.370798\pi$
$524$	17.6581	−	23.7603i	0.771398	−	1.03797i
$525$	48.1963	+	6.92958i	2.10346	+	0.302432i
$526$	0.169557	+	1.55171i	0.00739304	+	0.0676579i
$527$	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
$532$	−21.6021	−	21.4523i	−0.936568	−	0.930075i
$533$	0.215920	+	0.0310447i	0.00935255	+	0.00134469i
$534$	−2.39863	−	9.33001i	−0.103799	−	0.403749i
$535$	−0.847754	−	5.89626i	−0.0366516	−	0.254917i
$536$	−4.72207	−	25.4131i	−0.203962	−	1.09768i
$537$	36.7694	−	23.6302i	1.58672	−	1.01972i
$538$	33.1062	+	16.4998i	1.42731	+	0.711358i
$539$	8.61218	+	29.3304i	0.370953	+	1.26335i
$540$	1.38131	+	1.83190i	0.0594423	+	0.0788325i
$541$	−1.87373	−	1.62359i	−0.0805578	−	0.0698038i	0.613651	−	0.789577i	$-0.289700\pi$
$541$	−1.87373	−	1.62359i	−0.0805578	−	0.0698038i	−0.694209	+	0.719774i	$0.744246\pi$
$542$	3.27976	+	2.26873i	0.140878	+	0.0974504i
$543$	−4.46838	−	9.78439i	−0.191757	−	0.419888i
$544$	−14.1437	−	12.9404i	−0.606404	−	0.554817i
$545$	2.79619	+	0.821036i	0.119776	+	0.0351693i
$546$	−3.25680	+	3.51027i	−0.139378	+	0.150226i
$547$	−5.96889	−	2.72590i	−0.255211	−	0.116551i	0.283702	−	0.958913i	$-0.408437\pi$
$547$	−5.96889	−	2.72590i	−0.255211	−	0.116551i	−0.538913	+	0.842362i	$0.681165\pi$
$548$	22.5502	+	8.32155i	0.963297	+	0.355479i
$549$	2.45191	−	3.81524i	0.104645	−	0.162831i
$550$	−14.0386	−	2.50764i	−0.598607	−	0.106926i
$551$	−21.9630			−0.935657
$552$	23.9586	−	16.8696i	1.01975	−	0.718020i
$553$	53.0299			2.25506
$554$	−11.8370	−	2.11438i	−0.502905	−	0.0898312i
$555$	−2.43297	+	3.78577i	−0.103274	+	0.160697i
$556$	14.7061	−	39.8515i	0.623679	−	1.69008i
$557$	27.2306	+	12.4358i	1.15380	+	0.526923i	0.898082	−	0.439829i	$-0.144961\pi$
$557$	27.2306	+	12.4358i	1.15380	+	0.526923i	0.255718	+	0.966751i	$0.417688\pi$
$558$	5.60582	−	6.04211i	0.237313	−	0.255783i
$559$	3.60544	+	1.05865i	0.152494	+	0.0447762i
$560$	1.10636	+	7.33242i	0.0467523	+	0.309851i
$561$	6.33394	+	13.8694i	0.267419	+	0.585567i
$562$	13.1101	+	9.06875i	0.553016	+	0.382542i
$563$	16.0012	+	13.8651i	0.674370	+	0.584345i	0.923255	−	0.384188i	$-0.125519\pi$
$563$	16.0012	+	13.8651i	0.674370	+	0.584345i	−0.248885	+	0.968533i	$0.580064\pi$
$564$	−29.5934	+	22.3144i	−1.24611	+	0.939606i
$565$	−1.20462	−	4.10256i	−0.0506787	−	0.172596i
$566$	32.2716	+	16.0839i	1.35648	+	0.676056i
$567$	43.9547	−	28.2480i	1.84592	−	1.18630i
$568$	−16.3796	+	3.04353i	−0.687272	+	0.127704i
$569$	−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	$-0.0933880\pi$
$570$	0.990255	+	3.85181i	0.0414772	+	0.161335i
$571$	−37.8946	−	5.44842i	−1.58584	−	0.228009i	−0.707735	−	0.706478i	$-0.750283\pi$
$571$	−37.8946	−	5.44842i	−1.58584	−	0.228009i	−0.878105	+	0.478469i	$0.841192\pi$
$572$	0.988201	−	0.995100i	0.0413188	−	0.0416072i
$573$	−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	$0.424578\pi$
$578$	−0.847308	−	7.75420i	−0.0352434	−	0.322532i
$579$	3.68052	+	0.529179i	0.152957	+	0.0219919i
$580$	4.29372	+	3.19099i	0.178287	+	0.132499i
$581$	1.32826	−	0.190974i	0.0551053	−	0.00792295i
$582$	−18.1344	+	7.54851i	−0.751697	+	0.312896i
$583$	11.7870	−	7.57506i	0.488169	−	0.313727i
$584$	19.3335	+	15.4142i	0.800024	+	0.637844i
$585$	0.214324	−	0.0629312i	0.00886121	−	0.00260188i
$586$	−0.133615	+	3.93289i	−0.00551958	+	0.162466i
$587$	−7.02444	−	6.08671i	−0.289930	−	0.251225i	0.497736	−	0.867329i	$-0.334165\pi$
$587$	−7.02444	−	6.08671i	−0.289930	−	0.251225i	−0.787665	+	0.616103i	$0.788710\pi$
$588$	63.2297	−	4.74340i	2.60755	−	0.195615i
$589$	−10.4019	+	4.75041i	−0.428604	+	0.195737i
$590$	−6.05437	−	2.00340i	−0.249254	−	0.0824786i
$591$	−9.83552	−	2.88797i	−0.404579	−	0.118795i
$592$	20.1204	+	5.75615i	0.826944	+	0.236576i
$593$	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	$0.0766343\pi$
$594$	−7.29067	+	4.34292i	−0.299140	+	0.178192i
$595$	3.39654	−	5.28512i	0.139245	−	0.216669i
$596$	−11.3657	−	20.6437i	−0.465558	−	0.845600i
$597$		−	18.2826i		−	0.748256i
$598$	0.571556	+	2.21066i	0.0233727	+	0.0904005i
$599$	13.6929			0.559476			0.279738	−	0.960076i	$-0.409752\pi$
$599$	13.6929			0.559476			0.279738	+	0.960076i	$0.409752\pi$
$600$	−11.1773	+	27.3876i	−0.456310	+	1.11809i
$601$	−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	$0.836149\pi$
$602$	−37.6100	−	63.1377i	−1.53287	−	2.57330i
$603$	13.8517	+	6.32586i	0.564085	+	0.257609i
$604$	11.0745	+	0.753355i	0.450616	+	0.0306536i
$605$	0.747329	−	2.54517i	0.0303833	−	0.103476i
$606$	11.6036	+	3.83964i	0.471363	+	0.155975i
$607$	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	$0.738188\pi$
$608$	15.8233	−	9.57542i	0.641720	−	0.388335i
$609$	44.2428	−	51.0589i	1.79281	−	2.06901i
$610$	1.53174	+	0.0520390i	0.0620185	+	0.00210700i
$611$	−0.813693	−	2.77118i	−0.0329185	−	0.112110i
$612$	11.0272	−	2.43903i	0.445749	−	0.0985918i
$613$	−2.77701	−	4.32111i	−0.112162	−	0.174528i	0.780634	−	0.624988i	$-0.214896\pi$
$613$	−2.77701	−	4.32111i	−0.112162	−	0.174528i	−0.892797	+	0.450460i	$0.851260\pi$
$614$	−31.1652	+	12.9726i	−1.25773	+	0.523532i
$615$	0.0793161	+	0.551655i	0.00319833	+	0.0222449i
$616$	−27.4050	+	1.12197i	−1.10418	+	0.0452056i
$617$	−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	$0.795670\pi$
$618$	−61.2049	+	6.68791i	−2.46202	+	0.269027i
$619$	−19.3649	+	16.7798i	−0.778340	+	0.674436i	−0.950532	−	0.310628i	$-0.899461\pi$
$619$	−19.3649	+	16.7798i	−0.778340	+	0.674436i	0.172191	+	0.985064i	$0.444915\pi$
$620$	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
$624$	−1.58970	−	2.43618i	−0.0636388	−	0.0975254i
$625$	−3.22299	+	22.4164i	−0.128920	+	0.896656i
$626$	−40.8330	+	10.4977i	−1.63202	+	0.419572i
$627$	−14.5605	+	2.09348i	−0.581491	+	0.0836057i
$628$	21.1055	+	11.4293i	0.842201	+	0.456080i
$629$	−9.58564	−	14.9155i	−0.382204	−	0.594722i
$630$	−3.90994	−	1.94868i	−0.155776	−	0.0776372i
$631$	−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	$0.494052\pi$
$632$	−7.80423	+	31.2564i	−0.310436	+	1.24331i
$633$	−35.9181	+	41.4517i	−1.42762	+	1.64756i
$634$	2.09485	−	3.02839i	0.0831972	−	0.120273i
$635$	0.0312820	−	0.0142860i	0.00124139	−	0.000566923i
$636$	−10.2511	−	27.1951i	−0.406485	−	1.07836i
$637$	−1.39205	+	4.74087i	−0.0551548	+	0.187840i
$638$	−13.4580	+	14.5054i	−0.532808	+	0.574276i
$639$	4.07723	−	8.92789i	0.161293	−	0.353182i
$640$	−4.48463	−	0.426986i	−0.177270	−	0.0168781i
$641$	−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	$0.844944\pi$
$642$	8.03639	−	44.9904i	0.317171	−	1.77563i
$643$			2.51359i			0.0991264i	0.998771	+	0.0495632i	$0.0157829\pi$
$643$			2.51359i			0.0991264i	−0.998771	+	0.0495632i	$0.984217\pi$
$644$	21.2116	−	39.2977i	0.835855	−	1.54855i
$645$			9.60042i			0.378016i
$646$	−15.4251	−	2.75530i	−0.606891	−	0.108406i
$647$	−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	$0.717487\pi$
$648$	10.1810	+	30.0645i	0.399947	+	1.18105i
$649$	9.79876	−	21.4563i	0.384635	−	0.842233i
$650$	−1.68980	−	1.56778i	−0.0662793	−	0.0614933i
$651$	9.91030	−	33.7514i	0.388415	−	1.32282i
$652$	−17.7052	+	6.67394i	−0.693388	+	0.261372i
$653$	27.4006	−	12.5134i	1.07227	−	0.489689i	0.200544	−	0.979685i	$-0.435729\pi$
$653$	27.4006	−	12.5134i	1.07227	−	0.489689i	0.871725	+	0.489996i	$0.163002\pi$
$654$	18.3880	+	12.7197i	0.719029	+	0.497379i
$655$	−3.85959	+	4.45421i	−0.150807	+	0.174040i
$656$	2.35005	−	1.09305i	0.0917540	−	0.0426766i
$657$	−13.9768	+	4.10395i	−0.545286	+	0.160110i
$658$	−25.1962	+	50.5550i	−0.982248	+	1.97084i
$659$	−16.1644	−	25.1523i	−0.629675	−	0.979794i	−0.998730	−	0.0503862i	$-0.983955\pi$
$659$	−16.1644	−	25.1523i	−0.629675	−	0.979794i	0.369054	−	0.929408i	$-0.379682\pi$
$660$	3.15070	+	1.70621i	0.122641	+	0.0664143i
$661$	−9.14217	+	1.31445i	−0.355589	+	0.0511260i	−0.317795	−	0.948159i	$-0.602942\pi$
$661$	−9.14217	+	1.31445i	−0.355589	+	0.0511260i	−0.0377945	+	0.999286i	$0.512033\pi$
$662$	−0.324544	−	1.26239i	−0.0126138	−	0.0490640i
$663$	−0.350738	+	2.43943i	−0.0136215	+	0.0947398i
$664$	−0.0829127	+	0.810993i	−0.00321764	+	0.0314726i
$665$	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
$670$	0.558992	+	5.11565i	0.0215957	+	0.197635i
$671$	−0.806759	+	5.61113i	−0.0311446	+	0.216615i
$672$	−9.61421	+	56.0744i	−0.370876	+	2.16312i
$673$	−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	$-0.188146\pi$
$674$	−3.76244	−	9.03885i	−0.144924	−	0.348163i
$675$	7.54097	+	11.7340i	0.290252	+	0.451641i
$676$	−25.1651	+	5.56608i	−0.967889	+	0.214080i
$677$	−5.57684	−	18.9930i	−0.214335	−	0.729959i	−0.994533	−	0.104426i	$-0.966700\pi$
$677$	−5.57684	−	18.9930i	−0.214335	−	0.729959i	0.780197	−	0.625534i	$-0.215119\pi$
$678$	1.11385	−	32.7856i	0.0427771	−	1.25912i
$679$	−19.6040	+	22.6242i	−0.752332	+	0.868238i
$680$	2.61525	+	2.77975i	0.100290	+	0.106599i
$681$	−0.246948	−	0.540740i	−0.00946306	−	0.0207212i
$682$	−3.23647	+	9.78078i	−0.123931	+	0.374526i
$683$	1.18244	−	4.02702i	0.0452448	−	0.154090i	−0.933772	−	0.357868i	$-0.883504\pi$
$683$	1.18244	−	4.02702i	0.0452448	−	0.154090i	0.979017	+	0.203778i	$0.0653221\pi$
$684$	−0.739498	+	10.8708i	−0.0282754	+	0.415656i
$685$	−4.35302	−	1.98796i	−0.166320	−	0.0759559i
$686$	43.4241	−	25.8669i	1.65794	−	0.987603i
$687$	25.0027	+	16.0683i	0.953912	+	0.613042i
$688$	42.7490	−	12.8759i	1.62979	−	0.490891i
$689$	2.26474			0.0862796
$690$	−5.00782	+	2.99235i	−0.190645	+	0.113917i
$691$			37.8854i			1.44123i	0.693335	+	0.720615i	$0.256140\pi$
$691$			37.8854i			1.44123i	−0.693335	+	0.720615i	$0.743860\pi$
$692$	−15.1584	−	27.5323i	−0.576234	−	1.04662i
$693$	8.73597	−	13.5934i	0.331852	−	0.516372i
$694$	9.14354	+	15.3497i	0.347084	+	0.582667i
$695$	−3.51319	+	7.69280i	−0.133263	+	0.291805i
$696$	23.5836	+	33.5914i	0.893934	+	1.27328i
$697$	−2.10687	−	0.618633i	−0.0798034	−	0.0234324i
$698$	−9.48213	+	28.6555i	−0.358904	+	1.08463i
$699$	−29.9816	+	13.6921i	−1.13401	+	0.517884i
$700$	3.37249	+	44.9554i	0.127468	+	1.69915i
$701$	36.0883	+	31.2707i	1.36304	+	1.18108i	0.964549	+	0.263905i	$0.0850105\pi$
$701$	36.0883	+	31.2707i	1.36304	+	1.18108i	0.398488	+	0.917173i	$0.369535\pi$
$702$	−1.37088	−	0.0465740i	−0.0517407	−	0.00175782i
$703$	16.4128	−	4.81922i	0.619019	−	0.181760i
$704$	3.37179	−	16.3179i	0.127079	−	0.615004i
$705$	6.20761	−	3.98939i	0.233792	−	0.150249i
$706$	−10.6298	−	25.5369i	−0.400058	−	0.961094i
$707$	18.4376	−	2.65093i	0.693418	−	0.0996984i
$708$	−39.2702	−	29.1847i	−1.47586	−	1.09683i
$709$	39.9934	+	5.75019i	1.50199	+	0.215953i	0.843700	−	0.536815i	$-0.180373\pi$
$709$	39.9934	+	5.75019i	1.50199	+	0.215953i	0.658286	+	0.752768i	$0.271282\pi$
$710$	3.29721	−	0.360289i	0.123742	−	0.0135214i
$711$	−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
$716$	28.7140	+	28.5149i	1.07309	+	1.06565i
$717$	0.942065	+	0.135449i	0.0351821	+	0.00505842i
$718$	11.4082	−	2.93293i	0.425752	−	0.109456i
$719$	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	$0.782979\pi$
$720$	1.72398	−	2.01778i	0.0642491	−	0.0751981i
$721$	−78.9376	+	50.7301i	−2.93979	+	1.88929i
$722$	−5.24244	+	10.5187i	−0.195103	+	0.391466i
$723$	6.48060	+	22.0709i	0.241016	+	0.820826i
$724$	7.95170	−	5.99584i	0.295523	−	0.222834i
$725$	24.5791	+	21.2979i	0.912845	+	0.790985i
$726$	11.5778	−	16.7373i	0.429693	−	0.621178i
$727$	−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	$0.939482\pi$
$728$	−3.82450	−	2.24229i	−0.141746	−	0.0831046i
$729$	−0.0283857	−	0.00833479i	−0.00105132	−	0.000308696i
$730$	−3.60875	−	3.34817i	−0.133566	−	0.123921i
$731$	−34.4065	−	15.7129i	−1.27257	−	0.581164i
$732$	11.0315	+	4.07088i	0.407736	+	0.150464i
$733$	23.4215	−	36.4446i	0.865095	−	1.34611i	−0.0721329	−	0.997395i	$-0.522981\pi$
$733$	23.4215	−	36.4446i	0.865095	−	1.34611i	0.937228	−	0.348719i	$-0.113383\pi$
$734$	2.93543	−	16.4335i	0.108349	−	0.606572i
$735$	−12.6238			−0.465636
$736$	20.0408	+	18.2857i	0.738715	+	0.674018i
$737$	−19.0342			−0.701135
$738$	−0.268494	+	1.50312i	−0.00988339	+	0.0553305i
$739$	−15.2828	+	23.7806i	−0.562188	+	0.874782i	−0.999702	−	0.0244302i	$-0.992223\pi$
$739$	−15.2828	+	23.7806i	−0.562188	+	0.874782i	0.437513	+	0.899212i	$0.355859\pi$
$740$	−3.90883	−	1.44245i	−0.143692	−	0.0530256i
$741$	−2.16285	−	0.987739i	−0.0794541	−	0.0362855i
$742$	−32.4702	−	30.1255i	−1.19202	−	1.10594i
$743$	−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	$0.769053\pi$
$744$	18.4350	+	10.8083i	0.675859	+	0.396252i
$745$	1.94901	+	4.26773i	0.0714062	+	0.156358i
$746$	−3.83597	+	5.54540i	−0.140445	+	0.203032i
$747$	−0.362963	−	0.314510i	−0.0132801	−	0.0115073i
$748$	−11.2716	+	8.49913i	−0.412129	+	0.310759i
$749$	−19.6232	−	66.8306i	−0.717017	−	2.44194i
$750$	5.33994	−	10.7144i	0.194987	−	0.391233i
$751$	−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	$0.471158\pi$
$752$	−26.0896	−	22.2909i	−0.951390	−	0.812865i
$753$	2.78939	+	19.4006i	0.101651	+	0.706998i
$754$	−3.09758	+	0.796352i	−0.112807	+	0.0290014i
$755$	−2.18744	−	0.314506i	−0.0796089	−	0.0114460i
$756$	19.0352	+	18.9033i	0.692304	+	0.687505i
$757$	10.8291	−	9.38349i	0.393591	−	0.341049i	−0.435473	−	0.900202i	$-0.643419\pi$
$757$	10.8291	−	9.38349i	0.393591	−	0.341049i	0.829065	+	0.559153i	$0.188874\pi$
$758$	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	$0.766627\pi$
$762$	0.262284	−	0.0286600i	0.00950156	−	0.00103824i
$763$	33.7284	+	4.84941i	1.22105	+	0.175561i
$764$	−34.7823	−	25.8494i	−1.25838	−	0.935198i
$765$	−2.22559	+	0.319991i	−0.0804664	+	0.0115693i
$766$	0.367855	+	0.883731i	0.0132912	+	0.0319305i
$767$	3.20742	−	2.06128i	0.115813	−	0.0744287i
$768$	−31.6360	−	13.9190i	−1.14157	−	0.502259i
$769$	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	$0.281970\pi$
$770$	5.45749	+	0.185411i	0.196674	+	0.00668176i
$771$	−13.0306	−	11.2910i	−0.469284	−	0.406637i
$772$	0.257541	+	3.43303i	0.00926910	+	0.123557i
$773$	12.6667	−	5.78468i	0.455589	−	0.208060i	−0.174384	−	0.984678i	$-0.555793\pi$
$773$	12.6667	−	5.78468i	0.455589	−	0.208060i	0.629973	+	0.776617i	$0.283066\pi$
$774$	−8.26281	+	24.9706i	−0.297001	+	0.897551i
$775$	16.2475	+	4.77069i	0.583627	+	0.171368i
$776$	−10.4499	−	14.8843i	−0.375130	−	0.534317i
$777$	−21.8586	+	47.8638i	−0.784174	+	1.71710i
$778$	13.3746	+	22.4526i	0.479502	+	0.804964i
$779$	1.14533	−	1.78218i	0.0410359	−	0.0638531i
$780$	0.279323	+	0.507339i	0.0100014	+	0.0181656i
$781$			12.2682i			0.438991i
$782$	−2.52788	−	22.8449i	−0.0903968	−	0.816931i
$783$	19.3533			0.691631
$784$	16.9309	+	56.2116i	0.604674	+	2.00756i
$785$	−4.01991	−	2.58344i	−0.143477	−	0.0922068i
$786$	−38.8481	+	23.1411i	−1.38567	+	0.825416i
$787$	−37.1675	−	16.9738i	−1.32488	−	0.605051i	−0.377750	−	0.925908i	$-0.623302\pi$
$787$	−37.1675	−	16.9738i	−1.32488	−	0.605051i	−0.947128	+	0.320856i	$0.896029\pi$
$788$	0.644126	−	9.46883i	0.0229460	−	0.337313i
$789$	0.671734	−	2.28772i	0.0239144	−	0.0814449i
$790$	2.01492	−	6.08918i	0.0716876	−	0.216643i
$791$	−20.7687	−	45.4771i	−0.738449	−	1.61698i
$792$	6.72647	+	7.14958i	0.239015	+	0.254049i
$793$	−0.600044	+	0.692487i	−0.0213082	+	0.0245909i
$794$	−1.06190	+	31.2566i	−0.0376856	+	1.10926i
$795$	1.63016	+	5.55180i	0.0578156	+	0.196902i
$796$	16.5276	−	3.65561i	0.585805	−	0.129570i
$797$	3.22597	+	5.01971i	0.114270	+	0.177807i	0.893678	−	0.448710i	$-0.148116\pi$
$797$	3.22597	+	5.01971i	0.114270	+	0.177807i	−0.779408	+	0.626517i	$0.784480\pi$
$798$	17.8704	+	42.9317i	0.632607	+	1.51977i
$799$	4.13745	+	28.7766i	0.146372	+	1.01804i
$800$	−26.9935	−	4.62815i	−0.954364	−	0.163630i
$801$	−0.747796	+	5.20104i	−0.0264221	+	0.183770i
$802$	−1.72326	−	15.7706i	−0.0608505	−	0.556878i
$803$	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
$808$	−1.15092	+	11.2574i	−0.0404891	+	0.396036i
$809$	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	$-0.0105593\pi$
$810$	−1.57349	−	6.12043i	−0.0552868	−	0.215050i
$811$	−12.0879	+	1.73797i	−0.424463	+	0.0610285i	−0.351236	−	0.936287i	$-0.614239\pi$
$811$	−12.0879	+	1.73797i	−0.424463	+	0.0610285i	−0.0732263	+	0.997315i	$0.523330\pi$
$812$	55.0040	+	29.7866i	1.93026	+	1.04530i
$813$	−3.29331	−	5.12450i	−0.115502	−	0.179724i
$814$	6.87420	−	13.7928i	0.240941	−	0.483437i
$815$	3.61446	−	1.06130i	0.126609	−	0.0371757i
$816$	12.3491	+	26.5505i	0.432307	+	0.929452i
$817$	23.8975	−	27.5791i	0.836066	−	0.964872i
$818$	13.9432	+	9.64503i	0.487512	+	0.337230i
$819$	2.37579	−	1.08499i	0.0830169	−	0.0379126i
$820$	−0.482841	+	0.182006i	−0.0168615	+	0.00635593i
$821$	13.6782	−	46.5838i	0.477374	−	1.62579i	−0.271051	−	0.962565i	$-0.587371\pi$
$821$	13.6782	−	46.5838i	0.477374	−	1.62579i	0.748424	−	0.663220i	$-0.230811\pi$
$822$	−26.9151	−	24.9716i	−0.938771	−	0.870984i
$823$	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	$0.0457001\pi$
$824$	−18.2839	−	53.9924i	−0.636949	−	1.88092i
$825$	18.3249	+	11.7767i	0.637992	+	0.410012i
$826$	−73.4049	−	13.1119i	−2.55408	−	0.456222i
$827$		−	2.73698i		−	0.0951741i	−0.998867	−	0.0475871i	$-0.984847\pi$
$827$		−	2.73698i		−	0.0951741i	0.998867	−	0.0475871i	$-0.0151532\pi$
$828$	−15.6007	+	3.47299i	−0.542163	+	0.120695i
$829$		−	33.8086i		−	1.17422i	−0.809506	−	0.587111i	$-0.800265\pi$
$829$		−	33.8086i		−	1.17422i	0.809506	−	0.587111i	$-0.199735\pi$
$830$	0.0285395	−	0.159774i	0.000990622	−	0.00554583i
$831$	15.4511	+	9.92983i	0.535993	+	0.344462i
$832$	1.88447	−	1.92421i	0.0653321	−	0.0667101i
$833$	20.6613	−	45.2419i	0.715872	−	1.56754i
$834$	−44.1307	+	47.5653i	−1.52812	+	1.64705i
$835$	1.99219	−	6.78478i	0.0689427	−	0.234797i
$836$	−4.80391	−	12.7442i	−0.166147	−	0.440768i
$837$	9.16594	−	4.18594i	0.316821	−	0.144687i
$838$	25.0857	−	36.2648i	0.866572	−	1.25275i
$839$	−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	$0.318101\pi$
$840$	2.74389	−	10.9894i	0.0946732	−	0.379171i
$841$	15.4726	−	4.54316i	0.533538	−	0.156661i
$842$	12.1696	+	6.06522i	0.419392	+	0.209021i
$843$	−13.1643	−	20.4840i	−0.453402	−	0.705507i
$844$	−44.6545	−	24.1819i	−1.53707	−	0.832376i
$845$	5.07900	−	0.730250i	0.174723	−	0.0251214i
$846$	19.5795	−	5.03366i	0.673158	−	0.173061i
$847$	4.41407	−	30.7005i	0.151669	−	1.05488i
$848$	22.5348	−	14.7048i	0.773850	−	0.504965i
$849$	−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	−0.998278	−	0.0586581i	$-0.981318\pi$
$853$	−31.6094	+	27.3897i	−1.08229	+	0.937807i	−0.0840088	+	0.996465i	$0.526772\pi$
$854$	17.8145	−	1.94660i	0.609599	−	0.0666114i
$855$	0.308721	−	2.14720i	0.0105580	−	0.0734327i
$856$	42.2785	−	1.73091i	1.44505	−	0.0591612i
$857$	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	$0.850749\pi$
$858$	−1.97765	+	0.823202i	−0.0675159	+	0.0281037i
$859$	−12.8589	−	20.0089i	−0.438740	−	0.682693i	0.549519	−	0.835481i	$-0.314811\pi$
$859$	−12.8589	−	20.0089i	−0.438740	−	0.682693i	−0.988259	+	0.152788i	$0.951175\pi$
$860$	−8.67885	+	1.91961i	−0.295946	+	0.0654582i
$861$	1.83595	+	6.25269i	0.0625692	+	0.213091i
$862$	50.9591	+	1.73127i	1.73567	+	0.0589673i
$863$	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	$0.0847161\pi$
$864$	−13.9431	+	8.43764i	−0.474355	+	0.287054i
$865$	2.59937	+	5.69183i	0.0883813	+	0.193528i
$866$	31.1126	+	10.2952i	1.05725	+	0.349845i
$867$	−3.35678	+	11.4322i	−0.114002	+	0.388256i
$868$	32.4931	+	2.21037i	1.10289	+	0.0750249i
$869$	21.5797	+	9.85510i	0.732040	+	0.334311i
$870$	−4.18182	−	7.02023i	−0.141777	−	0.238008i
$871$	−2.58823	−	1.66335i	−0.0876988	−	0.0563606i
$872$	−7.82199	+	19.1662i	−0.264886	+	0.649050i
$873$	10.7141			0.362617
$874$	21.8346	+	3.86940i	0.738565	+	0.130884i
$875$		−	18.2446i		−	0.616781i
$876$	−18.2156	−	33.0853i	−0.615448	−	1.11785i
$877$	10.5759	−	16.4564i	0.357122	−	0.555692i	−0.615485	−	0.788148i	$-0.711040\pi$
$877$	10.5759	−	16.4564i	0.357122	−	0.555692i	0.972607	+	0.232456i	$0.0746763\pi$
$878$	−15.6012	+	9.29332i	−0.526514	+	0.313634i
$879$	2.49699	−	5.46764i	0.0842213	−	0.184419i
$880$	−0.912444	+	3.18942i	−0.0307585	+	0.107515i
$881$	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	$0.439506\pi$
$882$	−32.8345	−	10.8650i	−1.10559	−	0.365842i
$883$	26.8664	−	12.2695i	0.904125	−	0.412900i	0.0915797	−	0.995798i	$-0.470808\pi$
$883$	26.8664	−	12.2695i	0.904125	−	0.412900i	0.812546	+	0.582898i	$0.198081\pi$
$884$	−2.27540	+	0.170697i	−0.0765299	+	0.00574116i
$885$	7.36175	+	6.37900i	0.247463	+	0.214428i
$886$	−0.465435	+	13.6998i	−0.0156366	+	0.460255i
$887$	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	$0.0509164\pi$
$888$	−24.9945	−	19.9277i	−0.838762	−	0.668729i
$889$	0.338275	−	0.217396i	0.0113454	−	0.00729123i
$890$	−1.63937	+	0.682390i	−0.0549517	+	0.0228738i
$891$	23.1363	−	3.32649i	0.775094	−	0.111442i
$892$	8.13421	+	6.04516i	0.272354	+	0.202407i
$893$	−27.7630	−	3.99172i	−0.929054	−	0.133578i
$894$	3.91002	+	35.7828i	0.130771	+	1.19676i
$895$	−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
$900$	11.3692	−	11.4486i	0.378973	−	0.381619i
$901$	−22.5649	−	3.24434i	−0.751746	−	0.108085i
$902$	−0.475221	−	1.84848i	−0.0158231	−	0.0615475i
$903$	15.9755	+	111.112i	0.531631	+	3.69758i
$904$	29.8611	−	5.54857i	0.993166	−	0.184543i
$905$	−1.66797	+	1.07194i	−0.0554453	+	0.0356325i
$906$	−15.1748	−	7.56299i	−0.504149	−	0.251264i
$907$	−5.21165	−	17.7492i	−0.173050	−	0.589354i	−0.999647	−	0.0265601i	$-0.991545\pi$
$907$	−5.21165	−	17.7492i	−0.173050	−	0.589354i	0.826597	−	0.562794i	$-0.190274\pi$
$908$	0.439456	−	0.331364i	0.0145839	−	0.0109967i
$909$	−5.03832	−	4.36573i	−0.167110	−	0.144802i
$910$	0.725894	+	0.502128i	0.0240631	+	0.0166454i
$911$	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	$0.862291\pi$
$912$	−27.9343	+	4.21491i	−0.924998	+	0.139570i
$913$	0.576003	+	0.169130i	0.0190629	+	0.00559738i
$914$	11.5982	−	12.5009i	0.383635	−	0.413493i
$915$	−2.12948	−	0.972502i	−0.0703985	−	0.0321499i
$916$	−9.52651	+	25.8155i	−0.314765	+	0.852967i
$917$	−37.2576	+	57.9740i	−1.23036	+	1.91447i
$918$	13.5922	+	2.42790i	0.448610	+	0.0801327i
$919$	0.675940			0.0222972			0.0111486	−	0.999938i	$-0.496451\pi$
$919$	0.675940			0.0222972			0.0111486	+	0.999938i	$0.496451\pi$
$920$	−3.70642	−	3.92879i	−0.122197	−	0.129528i
$921$	51.5633			1.69907
$922$	2.63645	+	0.470935i	0.0868270	+	0.0155094i
$923$	−1.07209	+	1.66820i	−0.0352882	+	0.0549095i
$924$	39.3044	+	14.5042i	1.29302	+	0.477154i
$925$	−23.0410	−	10.5225i	−0.757583	−	0.345976i
$926$	−31.9806	+	34.4696i	−1.05095	+	1.13274i
$927$	32.2225	+	9.46137i	1.05832	+	0.310752i
$928$	−25.6513	+	28.0364i	−0.842044	+	0.920339i
$929$	−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	$0.929575\pi$
$930$	−3.49897	−	2.42037i	−0.114736	−	0.0793670i
$931$	36.2644	+	31.4233i	1.18852	+	1.02986i
$932$	−18.3726	−	24.3658i	−0.601815	−	0.798128i
$933$	11.4550	+	39.0122i	0.375020	+	1.27720i
$934$	−10.9052	−	5.43506i	−0.356829	−	0.177841i
$935$	2.36436	−	1.51948i	0.0773228	−	0.0496923i
$936$	0.289866	+	1.55999i	0.00947457	+	0.0509899i
$937$	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	$0.952216\pi$
$938$	14.9822	+	58.2767i	0.489187	+	1.90280i
$939$	63.7438	+	9.16498i	2.08020	+	0.299088i
$940$	4.84765	+	4.81404i	0.158113	+	0.157017i
$941$	−29.5735	+	25.6256i	−0.964070	+	0.835371i	−0.986397	−	0.164380i	$-0.947438\pi$
$941$	−29.5735	+	25.6256i	−0.964070	+	0.835371i	0.0223276	+	0.999751i	$0.492892\pi$
$942$	−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
$946$	−3.57123	−	32.6823i	−0.116111	−	1.06259i
$947$	−25.9806	−	3.73545i	−0.844256	−	0.121386i	−0.293404	−	0.955989i	$-0.594788\pi$
$947$	−25.9806	−	3.73545i	−0.844256	−	0.121386i	−0.550852	+	0.834603i	$0.685697\pi$
$948$	29.3525	−	39.4960i	0.953325	−	1.28277i
$949$	2.91314	−	0.418846i	0.0945644	−	0.0135963i
$950$	−20.6668	+	8.60259i	−0.670518	+	0.279105i
$951$	−4.73175	+	3.04091i	−0.153437	+	0.0986082i
$952$	34.8936	+	27.8200i	1.13091	+	0.901652i
$953$	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	$0.265753\pi$
$954$	−0.538253	+	15.8432i	−0.0174266	+	0.512943i
$955$	6.52044	+	5.64999i	0.210996	+	0.182829i
$956$	0.0659201	+	0.878717i	0.00213201	+	0.0284197i
$957$	27.4927	−	12.5555i	0.888713	−	0.405862i
$958$	−36.6865	−	12.1396i	−1.18529	−	0.392212i
$959$	−53.6884	−	15.7643i	−1.73369	−	0.509057i
$960$	6.07348	+	3.23455i	0.196021	+	0.104395i
$961$	−7.79605	+	17.0710i	−0.251485	+	0.550676i
$962$	2.14005	−	1.27479i	0.0689981	−	0.0411009i
$963$	−13.4773	+	20.9710i	−0.434299	+	0.675783i
$964$	−18.6565	+	10.2716i	−0.600884	+	0.330826i
$965$		−	0.685404i		−	0.0220639i
$966$	−52.9794	+	42.9656i	−1.70459	+	1.38240i
$967$	−30.2553			−0.972945			−0.486473	−	0.873696i	$-0.661717\pi$
$967$	−30.2553			−0.972945			−0.486473	+	0.873696i	$0.661717\pi$
$968$	17.4456	+	7.11979i	0.560723	+	0.228839i
$969$	20.1347	+	12.9398i	0.646821	+	0.415687i
$970$	1.85297	+	3.11067i	0.0594952	+	0.0998775i
$971$	3.80608	+	1.73818i	0.122143	+	0.0557809i	0.475549	−	0.879689i	$-0.342249\pi$
$971$	3.80608	+	1.73818i	0.122143	+	0.0557809i	−0.353406	+	0.935470i	$0.614977\pi$
$972$	2.11739	−	31.1263i	0.0679154	−	0.998376i
$973$	−27.8593	+	94.8800i	−0.893127	+	3.04171i
$974$	47.9610	+	15.8704i	1.53677	+	0.508519i
$975$	1.46264	+	3.20274i	0.0468420	+	0.102570i
$976$	−1.47435	+	10.7865i	−0.0471928	+	0.345268i
$977$	−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	$0.262978\pi$
$978$	28.8849	+	0.981329i	0.923639	+	0.0313794i
$979$	−1.85041	−	6.30192i	−0.0591394	−	0.201410i
$980$	−2.52414	−	11.4120i	−0.0806307	−	0.364544i
$981$	−6.59338	−	10.2595i	−0.210510	−	0.327560i
$982$	43.3297	−	18.0361i	1.38271	−	0.575556i
$983$	−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	$0.955184\pi$
$984$	−3.95559	+	0.161944i	−0.126100	+	0.00516259i
$985$	−0.268906	+	1.87028i	−0.00856805	+	0.0595921i
$986$	32.0039	−	3.49709i	1.01921	−	0.111370i
$987$	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	$0.590398\pi$
$992$	−6.08471	+	18.8265i	−0.193190	+	0.597741i
$993$	−0.283342	+	1.97069i	−0.00899160	+	0.0625380i
$994$	37.5613	−	9.65656i	1.19137	−	0.306287i
$995$	−3.33571	+	0.479603i	−0.105749	+	0.0152044i
$996$	0.592966	−	1.09497i	0.0187888	−	0.0346956i
$997$	−0.273028	−	0.424840i	−0.00864689	−	0.0134548i	0.836903	−	0.547351i	$-0.184364\pi$
$997$	−0.273028	−	0.424840i	−0.00864689	−	0.0134548i	−0.845550	+	0.533896i	$0.820727\pi$
$998$	−3.80112	−	1.89444i	−0.120322	−	0.0599675i
$999$	−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.13.12	yes	220
4.3	odd	2		736.2.x.a.657.19		220
8.3	odd	2		736.2.x.a.657.4		220
8.5	even	2	inner	184.2.p.a.13.1	✓	220
23.16	even	11	inner	184.2.p.a.85.1	yes	220
92.39	odd	22		736.2.x.a.177.4		220
184.85	even	22	inner	184.2.p.a.85.12	yes	220
184.131	odd	22		736.2.x.a.177.19		220

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

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.248677 - 1.39218i) q^{2} +(-1.16787 + 1.81725i) q^{3} +(-1.87632 - 0.692406i) q^{4} +(0.362199 + 0.165411i) q^{5} +(2.23951 + 2.07779i) q^{6} +(4.46721 + 1.31169i) q^{7} +(-1.43055 + 2.43999i) q^{8} +(-0.692209 - 1.51573i) q^{9} +(0.320351 - 0.463111i) q^{10} +(1.57409 + 1.36396i) q^{11} +(3.44957 - 2.60109i) q^{12} +(0.0948485 + 0.323024i) q^{13} +(2.93700 - 5.89297i) q^{14} +(-0.723593 + 0.465025i) q^{15} +(3.04115 + 2.59835i) q^{16} +(-0.482284 - 3.35436i) q^{17} +(-2.28230 + 0.586751i) q^{18} +(3.23621 + 0.465297i) q^{19} +(-0.565069 - 0.561151i) 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} +(0.473294 - 0.0517172i) q^{26} +(-2.85167 - 0.410009i) q^{27} +(-7.47369 - 5.55428i) q^{28} +(-6.64920 + 0.956010i) q^{29} +(0.467457 + 1.12301i) q^{30} +(-2.94236 + 1.89094i) q^{31} +(4.37363 - 3.58767i) q^{32} +(-4.31699 + 1.26758i) q^{33} +(-4.78980 - 0.162727i) q^{34} +(1.40105 + 1.21402i) q^{35} +(0.249307 + 3.32327i) q^{36} +(4.75911 - 2.17341i) q^{37} +(1.45255 - 4.38967i) q^{38} +(-0.697785 - 0.204888i) q^{39} +(-0.921742 + 0.647131i) q^{40} +(0.269169 - 0.589399i) q^{41} +(7.27892 + 12.2195i) q^{42} +(6.03436 - 9.38965i) q^{43} +(-2.00909 - 3.64914i) q^{44} -0.663492i q^{45} +(6.77873 + 0.221023i) q^{46} -8.57887 q^{47} +(-8.27351 + 2.49197i) q^{48} +(12.3467 + 7.93472i) q^{49} +(-5.88230 + 3.50398i) q^{50} +(6.65894 + 3.04103i) q^{51} +(0.0456978 - 0.671770i) q^{52} +(1.89523 - 6.45455i) q^{53} +(-1.27995 + 3.86808i) q^{54} +(0.344521 + 0.754396i) q^{55} +(-9.59108 + 9.02349i) q^{56} +(-4.62504 + 5.33758i) q^{57} +(-0.322567 + 9.49461i) q^{58} +(-3.19060 - 10.8662i) q^{59} +(1.67968 - 0.371516i) q^{60} +(1.47146 + 2.28964i) q^{61} +(1.90083 + 4.56652i) q^{62} +(-1.10408 - 7.67903i) q^{63} +(-3.90705 - 6.98104i) q^{64} +(-0.0190776 + 0.132688i) q^{65} +(0.691164 + 6.32524i) 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} +(4.68859 + 0.479342i) q^{72} +(1.24412 - 8.65302i) q^{73} +(-1.84229 - 7.16600i) q^{74} +(10.3519 - 1.48838i) q^{75} +(-5.74999 - 3.11382i) q^{76} +(5.24272 + 8.15783i) q^{77} +(-0.458764 + 0.920490i) q^{78} +(10.9287 - 3.20895i) q^{79} +(0.671705 + 1.44416i) q^{80} +(7.34907 - 8.48128i) q^{81} +(-0.753612 - 0.521302i) q^{82} +(0.262178 - 0.119733i) q^{83} +(18.8218 - 7.09485i) q^{84} +(0.380164 - 1.29472i) q^{85} +(-11.5715 - 10.7359i) q^{86} +(6.02811 - 13.1997i) q^{87} +(-5.57987 + 1.88955i) q^{88} +(-2.65280 - 1.70485i) q^{89} +(-0.923699 - 0.164995i) q^{90} +1.56743i q^{91} +(1.99342 - 9.38223i) q^{92} -7.55536i q^{93} +(-2.13337 + 11.9433i) q^{94} +(1.09519 + 0.703833i) q^{95} +(1.41184 + 12.1379i) q^{96} +(-2.67106 + 5.84880i) q^{97} +(14.1169 - 15.2156i) 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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