LMFDB - Embedded newform 110.2.k.a.57.6

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [110,2,Mod(7,110)] 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("110.7"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(110, base_ring=CyclotomicField(20)) chi = DirichletCharacter(H, H._module([5, 14])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 110 = 2 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	110.k (of order $20$, degree $8$, 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:	$0.878354422234$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$6$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			57.6
Character	$\chi$	$=$	110.57
Dual form			110.2.k.a.83.6

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.453990 + 0.891007i) q^{2} +(0.256351 - 1.61854i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(1.69562 - 1.45770i) q^{5} +(1.55851 - 0.506390i) q^{6} +(-0.753160 + 0.119289i) q^{7} +(-0.987688 - 0.156434i) q^{8} +(0.299227 + 0.0972249i) q^{9} +(2.06861 + 0.849027i) q^{10} +(-1.49880 + 2.95865i) q^{11} +(1.15874 + 1.15874i) q^{12} +(-0.760418 + 0.387452i) q^{13} +(-0.448214 - 0.616914i) q^{14} +(-1.92466 - 3.11810i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(-1.29037 - 0.657479i) q^{17} +(0.0492184 + 0.310753i) q^{18} +(-4.09783 + 2.97724i) q^{19} +(0.182641 + 2.22860i) q^{20} +1.24960i q^{21} +(-3.31662 + 0.00776159i) q^{22} +(-1.65567 + 1.65567i) q^{23} +(-0.506390 + 1.55851i) q^{24} +(0.750246 - 4.94339i) q^{25} +(-0.690445 - 0.501638i) q^{26} +(2.46595 - 4.83969i) q^{27} +(0.346189 - 0.679435i) q^{28} +(-0.552936 - 0.401731i) q^{29} +(1.90447 - 3.13047i) q^{30} +(-1.08804 + 3.34864i) q^{31} +(0.707107 - 0.707107i) q^{32} +(4.40446 + 3.18431i) q^{33} -1.44822i q^{34} +(-1.10318 + 1.30015i) q^{35} +(-0.254538 + 0.184933i) q^{36} +(-1.26983 - 8.01741i) q^{37} +(-4.51312 - 2.29955i) q^{38} +(0.432172 + 1.33009i) q^{39} +(-1.90278 + 1.17450i) q^{40} +(7.30492 + 10.0544i) q^{41} +(-1.11340 + 0.567304i) q^{42} +(-7.61267 - 7.61267i) q^{43} +(-1.51263 - 2.95160i) q^{44} +(0.649100 - 0.271326i) q^{45} +(-2.22687 - 0.723555i) q^{46} +(12.5361 + 1.98553i) q^{47} +(-1.61854 + 0.256351i) q^{48} +(-6.10438 + 1.98343i) q^{49} +(4.74520 - 1.57578i) q^{50} +(-1.39494 + 1.91997i) q^{51} +(0.133507 - 0.842930i) q^{52} +(3.72862 + 7.31784i) q^{53} +5.43171 q^{54} +(1.77142 + 7.20153i) q^{55} +0.762548 q^{56} +(3.76830 + 7.39570i) q^{57} +(0.106918 - 0.675052i) q^{58} +(0.254349 - 0.350081i) q^{59} +(3.65388 + 0.275692i) q^{60} +(12.0627 - 3.91939i) q^{61} +(-3.47761 + 0.550800i) q^{62} +(-0.236964 - 0.0375314i) q^{63} +(0.951057 + 0.309017i) q^{64} +(-0.724592 + 1.76543i) q^{65} +(-0.837655 + 5.37005i) q^{66} +(-3.82631 - 3.82631i) q^{67} +(1.29037 - 0.657479i) q^{68} +(2.25533 + 3.10420i) q^{69} +(-1.65927 - 0.392691i) q^{70} +(-2.45595 - 7.55864i) q^{71} +(-0.280334 - 0.142837i) q^{72} +(-0.179057 - 1.13052i) q^{73} +(6.56708 - 4.77126i) q^{74} +(-7.80873 - 2.48154i) q^{75} -5.06519i q^{76} +(0.775899 - 2.40712i) q^{77} +(-0.988915 + 0.988915i) q^{78} +(3.11720 - 9.59376i) q^{79} +(-1.91033 - 1.16218i) q^{80} +(-6.43745 - 4.67708i) q^{81} +(-5.64213 + 11.0733i) q^{82} +(-0.108440 + 0.212826i) q^{83} +(-1.01094 - 0.734494i) q^{84} +(-3.14639 + 0.766141i) q^{85} +(3.32686 - 10.2390i) q^{86} +(-0.791962 + 0.791962i) q^{87} +(1.94318 - 2.68776i) q^{88} -11.2102i q^{89} +(0.536438 + 0.455173i) q^{90} +(0.526498 - 0.382523i) q^{91} +(-0.366287 - 2.31265i) q^{92} +(5.14097 + 2.61945i) q^{93} +(3.92217 + 12.0712i) q^{94} +(-2.60843 + 11.0217i) q^{95} +(-0.963210 - 1.32575i) q^{96} +(-12.6763 + 6.45889i) q^{97} +(-4.53858 - 4.53858i) q^{98} +(-0.736135 + 0.739589i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 4 q^{3} - 8 q^{5} - 20 q^{7} + 12 q^{11} - 16 q^{12} - 16 q^{15} + 12 q^{16} - 20 q^{17} - 4 q^{20} - 4 q^{22} - 8 q^{23} - 20 q^{25} + 8 q^{26} + 8 q^{27} - 20 q^{28} + 16 q^{31} - 104 q^{33} - 4 q^{36}+ \cdots + 72 q^{97}+O(q^{100}) $ 48 * q - 4 * q^3 - 8 * q^5 - 20 * q^7 + 12 * q^11 - 16 * q^12 - 16 * q^15 + 12 * q^16 - 20 * q^17 - 4 * q^20 - 4 * q^22 - 8 * q^23 - 20 * q^25 + 8 * q^26 + 8 * q^27 - 20 * q^28 + 16 * q^31 - 104 * q^33 - 4 * q^36 + 20 * q^37 - 36 * q^38 - 20 * q^41 - 20 * q^42 + 16 * q^45 + 40 * q^46 + 40 * q^47 + 4 * q^48 + 40 * q^50 + 40 * q^51 + 40 * q^52 + 96 * q^55 - 8 * q^56 + 48 * q^58 + 20 * q^60 + 80 * q^61 + 40 * q^62 + 100 * q^63 + 24 * q^66 + 20 * q^68 - 56 * q^70 - 56 * q^71 - 20 * q^73 - 76 * q^75 - 96 * q^77 + 16 * q^78 - 12 * q^80 - 68 * q^81 - 80 * q^85 - 56 * q^86 - 4 * q^88 - 80 * q^90 - 68 * q^91 - 12 * q^92 + 76 * q^93 + 20 * q^95 + 72 * q^97

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/110\mathbb{Z}\right)^\times$.

$n$	$67$	$101$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{10}\right)$

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 $

$2$	0.453990	+	0.891007i	0.321020	+	0.630037i
$2$	0.453990	+	0.891007i	0.321020	+	0.630037i
$3$	0.256351	−	1.61854i	0.148004	−	0.934462i	−0.796184	−	0.605055i	$-0.793151\pi$
$3$	0.256351	−	1.61854i	0.148004	−	0.934462i	0.944188	−	0.329407i	$-0.106849\pi$
$4$	−0.587785	+	0.809017i	−0.293893	+	0.404508i
$5$	1.69562	−	1.45770i	0.758304	−	0.651901i
$5$	1.69562	−	1.45770i	0.758304	−	0.651901i
$6$	1.55851	−	0.506390i	0.636258	−	0.206733i
$7$	−0.753160	+	0.119289i	−0.284668	+	0.0450869i	−0.297135	−	0.954835i	$-0.596031\pi$
$7$	−0.753160	+	0.119289i	−0.284668	+	0.0450869i	0.0124678	+	0.999922i	$0.496031\pi$
$8$	−0.987688	−	0.156434i	−0.349201	−	0.0553079i
$9$	0.299227	+	0.0972249i	0.0997424	+	0.0324083i
$10$	2.06861	+	0.849027i	0.654152	+	0.268486i
$11$	−1.49880	+	2.95865i	−0.451904	+	0.892067i
$11$	−1.49880	+	2.95865i	−0.451904	+	0.892067i
$12$	1.15874	+	1.15874i	0.334500	+	0.334500i
$13$	−0.760418	+	0.387452i	−0.210902	+	0.107460i	−0.556251	−	0.831014i	$-0.687761\pi$
$13$	−0.760418	+	0.387452i	−0.210902	+	0.107460i	0.345349	+	0.938474i	$0.387761\pi$
$14$	−0.448214	−	0.616914i	−0.119790	−	0.164877i
$15$	−1.92466	−	3.11810i	−0.496945	−	0.805090i
$16$	−0.309017	−	0.951057i	−0.0772542	−	0.237764i
$17$	−1.29037	−	0.657479i	−0.312962	−	0.159462i	0.290453	−	0.956889i	$-0.406194\pi$
$17$	−1.29037	−	0.657479i	−0.312962	−	0.159462i	−0.603415	+	0.797427i	$0.706194\pi$
$18$	0.0492184	+	0.310753i	0.0116009	+	0.0732451i
$19$	−4.09783	+	2.97724i	−0.940106	+	0.683027i	−0.948446	−	0.316939i	$-0.897345\pi$
$19$	−4.09783	+	2.97724i	−0.940106	+	0.683027i	0.00834049	+	0.999965i	$0.497345\pi$
$20$	0.182641	+	2.22860i	0.0408398	+	0.498329i
$21$			1.24960i			0.272684i
$22$	−3.31662	+	0.00776159i	−0.707105	+	0.00165478i
$23$	−1.65567	+	1.65567i	−0.345231	+	0.345231i	−0.858330	−	0.513098i	$-0.828498\pi$
$23$	−1.65567	+	1.65567i	−0.345231	+	0.345231i	0.513098	+	0.858330i	$0.328498\pi$
$24$	−0.506390	+	1.55851i	−0.103366	+	0.318129i
$25$	0.750246	−	4.94339i	0.150049	−	0.988679i
$26$	−0.690445	−	0.501638i	−0.135407	−	0.0983793i
$27$	2.46595	−	4.83969i	0.474572	−	0.931399i
$28$	0.346189	−	0.679435i	0.0654237	−	0.128401i
$29$	−0.552936	−	0.401731i	−0.102678	−	0.0745996i	0.535262	−	0.844686i	$-0.320213\pi$
$29$	−0.552936	−	0.401731i	−0.102678	−	0.0745996i	−0.637939	+	0.770087i	$0.720213\pi$
$30$	1.90447	−	3.13047i	0.347707	−	0.571543i
$31$	−1.08804	+	3.34864i	−0.195417	+	0.601433i	0.804554	+	0.593879i	$0.202404\pi$
$31$	−1.08804	+	3.34864i	−0.195417	+	0.601433i	−0.999971	+	0.00755335i	$0.997596\pi$
$32$	0.707107	−	0.707107i	0.125000	−	0.125000i
$33$	4.40446	+	3.18431i	0.766719	+	0.554317i
$34$		−	1.44822i		−	0.248368i
$35$	−1.10318	+	1.30015i	−0.186472	+	0.219765i
$36$	−0.254538	+	0.184933i	−0.0424230	+	0.0308221i
$37$	−1.26983	−	8.01741i	−0.208759	−	1.31805i	−0.840050	−	0.542509i	$-0.817475\pi$
$37$	−1.26983	−	8.01741i	−0.208759	−	1.31805i	0.631291	−	0.775546i	$-0.282525\pi$
$38$	−4.51312	−	2.29955i	−0.732124	−	0.373036i
$39$	0.432172	+	1.33009i	0.0692029	+	0.212985i
$40$	−1.90278	+	1.17450i	−0.300855	+	0.185704i
$41$	7.30492	+	10.0544i	1.14084	+	1.57023i	0.765624	+	0.643288i	$0.222430\pi$
$41$	7.30492	+	10.0544i	1.14084	+	1.57023i	0.375212	+	0.926939i	$0.377570\pi$
$42$	−1.11340	+	0.567304i	−0.171801	+	0.0875370i
$43$	−7.61267	−	7.61267i	−1.16092	−	1.16092i	−0.984274	−	0.176647i	$-0.943475\pi$
$43$	−7.61267	−	7.61267i	−1.16092	−	1.16092i	−0.176647	−	0.984274i	$-0.556525\pi$
$44$	−1.51263	−	2.95160i	−0.228037	−	0.444971i
$45$	0.649100	−	0.271326i	0.0967621	−	0.0404469i
$46$	−2.22687	−	0.723555i	−0.328335	−	0.106682i
$47$	12.5361	+	1.98553i	1.82858	+	0.289619i	0.973468	−	0.228821i	$-0.0734872\pi$
$47$	12.5361	+	1.98553i	1.82858	+	0.289619i	0.855114	+	0.518440i	$0.173487\pi$
$48$	−1.61854	+	0.256351i	−0.233616	+	0.0370011i
$49$	−6.10438	+	1.98343i	−0.872054	+	0.283347i
$50$	4.74520	−	1.57578i	0.671073	−	0.222849i
$51$	−1.39494	+	1.91997i	−0.195331	+	0.268850i
$52$	0.133507	−	0.842930i	0.0185141	−	0.116893i
$53$	3.72862	+	7.31784i	0.512166	+	1.00518i	0.991810	+	0.127719i	$0.0407656\pi$
$53$	3.72862	+	7.31784i	0.512166	+	1.00518i	−0.479644	+	0.877463i	$0.659234\pi$
$54$	5.43171			0.739163
$55$	1.77142	+	7.20153i	0.238859	+	0.971054i
$56$	0.762548			0.101900
$57$	3.76830	+	7.39570i	0.499123	+	0.979584i
$58$	0.106918	−	0.675052i	0.0140390	−	0.0886386i
$59$	0.254349	−	0.350081i	0.0331134	−	0.0455767i	−0.792139	−	0.610340i	$-0.791033\pi$
$59$	0.254349	−	0.350081i	0.0331134	−	0.0455767i	0.825253	+	0.564764i	$0.191033\pi$
$60$	3.65388	+	0.275692i	0.471714	+	0.0355916i
$61$	12.0627	−	3.91939i	1.54446	−	0.501827i	0.591860	−	0.806040i	$-0.298394\pi$
$61$	12.0627	−	3.91939i	1.54446	−	0.501827i	0.952604	+	0.304214i	$0.0983937\pi$
$62$	−3.47761	+	0.550800i	−0.441657	+	0.0699517i
$63$	−0.236964	−	0.0375314i	−0.0298546	−	0.00472851i
$64$	0.951057	+	0.309017i	0.118882	+	0.0386271i
$65$	−0.724592	+	1.76543i	−0.0898745	+	0.218975i
$66$	−0.837655	+	5.37005i	−0.103108	+	0.661008i
$67$	−3.82631	−	3.82631i	−0.467458	−	0.467458i	0.433632	−	0.901090i	$-0.357232\pi$
$67$	−3.82631	−	3.82631i	−0.467458	−	0.467458i	−0.901090	+	0.433632i	$0.857232\pi$
$68$	1.29037	−	0.657479i	0.156481	−	0.0797310i
$69$	2.25533	+	3.10420i	0.271510	+	0.373701i
$70$	−1.65927	−	0.392691i	−0.198321	−	0.0469355i
$71$	−2.45595	−	7.55864i	−0.291468	−	0.897045i	−0.984385	−	0.176028i	$-0.943675\pi$
$71$	−2.45595	−	7.55864i	−0.291468	−	0.897045i	0.692918	−	0.721017i	$-0.256325\pi$
$72$	−0.280334	−	0.142837i	−0.0330377	−	0.0168335i
$73$	−0.179057	−	1.13052i	−0.0209571	−	0.132318i	0.974992	−	0.222242i	$-0.0713375\pi$
$73$	−0.179057	−	1.13052i	−0.0209571	−	0.132318i	−0.995949	+	0.0899243i	$0.971337\pi$
$74$	6.56708	−	4.77126i	0.763407	−	0.554648i
$75$	−7.80873	−	2.48154i	−0.901675	−	0.286544i
$76$		−	5.06519i		−	0.581017i
$77$	0.775899	−	2.40712i	0.0884219	−	0.274317i
$78$	−0.988915	+	0.988915i	−0.111973	+	0.111973i
$79$	3.11720	−	9.59376i	0.350713	−	1.07938i	−0.607741	−	0.794135i	$-0.707924\pi$
$79$	3.11720	−	9.59376i	0.350713	−	1.07938i	0.958454	−	0.285247i	$-0.0920757\pi$
$80$	−1.91033	−	1.16218i	−0.213581	−	0.129935i
$81$	−6.43745	−	4.67708i	−0.715273	−	0.519676i
$82$	−5.64213	+	11.0733i	−0.623070	+	1.22284i
$83$	−0.108440	+	0.212826i	−0.0119029	+	0.0233607i	−0.896881	−	0.442271i	$-0.854173\pi$
$83$	−0.108440	+	0.212826i	−0.0119029	+	0.0233607i	0.884979	+	0.465632i	$0.154173\pi$
$84$	−1.01094	−	0.734494i	−0.110303	−	0.0801398i
$85$	−3.14639	+	0.766141i	−0.341274	+	0.0830996i
$86$	3.32686	−	10.2390i	0.358744	−	1.10410i
$87$	−0.791962	+	0.791962i	−0.0849073	+	0.0849073i
$88$	1.94318	−	2.68776i	0.207144	−	0.286516i
$89$		−	11.2102i		−	1.18828i	−0.804361	−	0.594141i	$-0.797492\pi$
$89$		−	11.2102i		−	1.18828i	0.804361	−	0.594141i	$-0.202508\pi$
$90$	0.536438	+	0.455173i	0.0565456	+	0.0479794i
$91$	0.526498	−	0.382523i	0.0551919	−	0.0400993i
$92$	−0.366287	−	2.31265i	−0.0381881	−	0.241110i
$93$	5.14097	+	2.61945i	0.533093	+	0.271625i
$94$	3.92217	+	12.0712i	0.404540	+	1.24505i
$95$	−2.60843	+	11.0217i	−0.267620	+	1.13080i
$96$	−0.963210	−	1.32575i	−0.0983072	−	0.135308i
$97$	−12.6763	+	6.45889i	−1.28708	+	0.655800i	−0.957529	−	0.288337i	$-0.906898\pi$
$97$	−12.6763	+	6.45889i	−1.28708	+	0.655800i	−0.329552	+	0.944137i	$0.606898\pi$
$98$	−4.53858	−	4.53858i	−0.458466	−	0.458466i
$99$	−0.736135	+	0.739589i	−0.0739844	+	0.0743315i
$100$	3.55831	+	3.51261i	0.355831	+	0.351261i
$101$	−8.91281	−	2.89595i	−0.886858	−	0.288158i	−0.170056	−	0.985434i	$-0.554395\pi$
$101$	−8.91281	−	2.89595i	−0.886858	−	0.288158i	−0.716802	+	0.697277i	$0.754395\pi$
$102$	−2.34400	−	0.371253i	−0.232090	−	0.0367595i
$103$	0.0976359	−	0.0154640i	0.00962035	−	0.00152371i	−0.151622	−	0.988438i	$-0.548450\pi$
$103$	0.0976359	−	0.0154640i	0.00962035	−	0.00152371i	0.161243	+	0.986915i	$0.448450\pi$
$104$	0.811667	−	0.263727i	0.0795905	−	0.0258605i
$105$	1.82153	+	2.11884i	0.177763	+	0.206777i
$106$	−4.82748	+	6.64446i	−0.468886	+	0.645367i
$107$	1.02130	−	6.44826i	0.0987332	−	0.623377i	−0.887852	−	0.460129i	$-0.847803\pi$
$107$	1.02130	−	6.44826i	0.0987332	−	0.623377i	0.986585	−	0.163248i	$-0.0521969\pi$
$108$	2.46595	+	4.83969i	0.237286	+	0.465700i
$109$	11.8125			1.13143			0.565716	−	0.824600i	$-0.308600\pi$
$109$	11.8125			1.13143			0.565716	+	0.824600i	$0.308600\pi$
$110$	−5.61240	+	4.84778i	−0.535121	+	0.462217i
$111$	−13.3020			−1.26257
$112$	0.346189	+	0.679435i	0.0327118	+	0.0642006i
$113$	−1.80338	+	11.3861i	−0.169647	+	1.07111i	0.745061	+	0.666997i	$0.232420\pi$
$113$	−1.80338	+	11.3861i	−0.169647	+	1.07111i	−0.914708	+	0.404115i	$0.867580\pi$
$114$	−4.87884	+	6.71515i	−0.456946	+	0.628932i
$115$	−0.393922	+	5.22085i	−0.0367334	+	0.486847i
$116$	0.650015	−	0.211203i	0.0603524	−	0.0196097i
$117$	−0.265208	+	0.0420048i	−0.0245185	+	0.00388335i
$118$	0.427397	+	0.0676930i	0.0393451	+	0.00623165i
$119$	1.05029	+	0.341259i	0.0962797	+	0.0312832i
$120$	1.41319	+	3.38080i	0.129006	+	0.308623i
$121$	−6.50722	−	8.86883i	−0.591565	−	0.806257i
$122$	8.96853	+	8.96853i	0.811973	+	0.811973i
$123$	18.1460	−	9.24583i	1.63617	−	0.833668i
$124$	−2.06957	−	2.84852i	−0.185853	−	0.255805i
$125$	−5.93383	−	9.47574i	−0.530738	−	0.847536i
$126$	−0.0741386	−	0.228175i	−0.00660479	−	0.0203275i
$127$	−5.78299	−	2.94658i	−0.513157	−	0.261467i	0.178181	−	0.983998i	$-0.442979\pi$
$127$	−5.78299	−	2.94658i	−0.513157	−	0.261467i	−0.691339	+	0.722531i	$0.742979\pi$
$128$	0.156434	+	0.987688i	0.0138270	+	0.0873001i
$129$	−14.2729	+	10.3699i	−1.25666	+	0.913015i
$130$	−1.90197	+	0.155873i	−0.166814	+	0.0136709i
$131$			1.56355i			0.136608i	0.997665	+	0.0683040i	$0.0217588\pi$
$131$			1.56355i			0.136608i	−0.997665	+	0.0683040i	$0.978241\pi$
$132$	−5.16504	+	1.69160i	−0.449559	+	0.147235i
$133$	2.73116	−	2.73116i	0.236822	−	0.236822i
$134$	1.67216	−	5.14637i	0.144452	−	0.444579i
$135$	−2.87349	−	11.8009i	−0.247311	−	1.01566i
$136$	1.17164	+	0.851243i	0.100467	+	0.0729935i
$137$	−0.766306	+	1.50396i	−0.0654700	+	0.128492i	−0.921422	−	0.388563i	$-0.872972\pi$
$137$	−0.766306	+	1.50396i	−0.0654700	+	0.128492i	0.855952	+	0.517055i	$0.172972\pi$
$138$	−1.74196	+	3.41879i	−0.148286	+	0.291027i
$139$	7.01947	+	5.09995i	0.595384	+	0.432572i	0.844237	−	0.535969i	$-0.180054\pi$
$139$	7.01947	+	5.09995i	0.595384	+	0.432572i	−0.248854	+	0.968541i	$0.580054\pi$
$140$	−0.403404	−	1.65670i	−0.0340939	−	0.140017i
$141$	6.42730	−	19.7812i	0.541276	−	1.66588i
$142$	5.61982	−	5.61982i	0.471605	−	0.471605i
$143$	−0.00662403	−	2.83052i	−0.000553929	−	0.236700i
$144$		−	0.314626i		−	0.0262189i
$145$	−1.52317	+	0.124829i	−0.126492	+	0.0103665i
$146$	0.926013	−	0.672788i	0.0766374	−	0.0556803i
$147$	1.64539	+	10.3886i	0.135710	+	0.856838i
$148$	7.23261	+	3.68520i	0.594517	+	0.302922i
$149$	−4.55529	−	14.0197i	−0.373184	−	1.14854i	−0.944696	−	0.327948i	$-0.893643\pi$
$149$	−4.55529	−	14.0197i	−0.373184	−	1.14854i	0.571512	−	0.820594i	$-0.306357\pi$
$150$	−1.33402	−	8.08423i	−0.108922	−	0.660074i
$151$	6.72937	+	9.26219i	0.547629	+	0.753746i	0.989688	−	0.143240i	$-0.0457519\pi$
$151$	6.72937	+	9.26219i	0.547629	+	0.753746i	−0.442059	+	0.896986i	$0.645752\pi$
$152$	4.51312	−	2.29955i	0.366062	−	0.186518i
$153$	−0.322192	−	0.322192i	−0.0260477	−	0.0260477i
$154$	2.49701	−	0.401481i	0.201215	−	0.0323522i
$155$	3.03639	+	7.26404i	0.243889	+	0.583461i
$156$	−1.33009	−	0.432172i	−0.106492	−	0.0346014i
$157$	0.814122	+	0.128944i	0.0649740	+	0.0102909i	0.188837	−	0.982008i	$-0.439528\pi$
$157$	0.814122	+	0.128944i	0.0649740	+	0.0102909i	−0.123863	+	0.992299i	$0.539528\pi$
$158$	9.96328	−	1.57803i	0.792636	−	0.125541i
$159$	12.8000	−	4.15898i	1.01511	−	0.329828i
$160$	0.168237	−	2.22973i	0.0133003	−	0.176276i
$161$	1.04948	−	1.44449i	0.0827108	−	0.113842i
$162$	1.24477	−	7.85917i	0.0977983	−	0.617474i
$163$	4.05736	+	7.96301i	0.317797	+	0.623711i	0.993547	−	0.113419i	$-0.0361803\pi$
$163$	4.05736	+	7.96301i	0.317797	+	0.623711i	−0.675750	+	0.737131i	$0.736180\pi$
$164$	−12.4279			−0.970454
$165$	12.1100	−	1.02099i	0.942766	−	0.0794843i
$166$	−0.238860			−0.0185391
$167$	9.59049	+	18.8224i	0.742134	+	1.45652i	0.884418	+	0.466695i	$0.154555\pi$
$167$	9.59049	+	18.8224i	0.742134	+	1.45652i	−0.142284	+	0.989826i	$0.545445\pi$
$168$	0.195480	−	1.23421i	0.0150816	−	0.0952214i
$169$	−7.21309	+	9.92797i	−0.554853	+	0.763690i
$170$	−2.11107	−	2.45563i	−0.161911	−	0.188338i
$171$	−1.51564	+	0.492462i	−0.115904	+	0.0376595i
$172$	10.6334	−	1.68416i	0.810788	−	0.128416i
$173$	2.42835	+	0.384613i	0.184624	+	0.0292416i	0.248062	−	0.968744i	$-0.420206\pi$
$173$	2.42835	+	0.384613i	0.184624	+	0.0292416i	−0.0634376	+	0.997986i	$0.520206\pi$
$174$	−1.06519	−	0.346100i	−0.0807516	−	0.0262378i
$175$	0.0246365	+	3.81266i	0.00186234	+	0.288210i
$176$	3.27700	+	0.511167i	0.247013	+	0.0385307i
$177$	−0.501417	−	0.501417i	−0.0376888	−	0.0376888i
$178$	9.98839	−	5.08934i	0.748661	−	0.381462i
$179$	9.35481	+	12.8758i	0.699211	+	0.962382i	0.999962	+	0.00867926i	$0.00276273\pi$
$179$	9.35481	+	12.8758i	0.699211	+	0.962382i	−0.300751	+	0.953703i	$0.597237\pi$
$180$	−0.162024	+	0.684614i	−0.0120765	+	0.0510281i
$181$	−1.59094	−	4.89640i	−0.118253	−	0.363947i	0.874358	−	0.485281i	$-0.161283\pi$
$181$	−1.59094	−	4.89640i	−0.118253	−	0.363947i	−0.992612	+	0.121334i	$0.961283\pi$
$182$	0.579855	+	0.295451i	0.0429817	+	0.0219003i
$183$	−3.25141	−	20.5286i	−0.240351	−	1.51752i
$184$	1.89429	−	1.37628i	0.139649	−	0.101461i
$185$	−13.8401	−	11.7434i	−1.01754	−	0.863395i
$186$			5.76984i			0.423065i
$187$	3.87926	−	2.83234i	0.283679	−	0.207121i
$188$	−8.97488	+	8.97488i	−0.654560	+	0.654560i
$189$	−1.27993	+	3.93922i	−0.0931012	+	0.286536i
$190$	−11.0046	+	2.67960i	−0.798355	+	0.194398i
$191$	21.7592	+	15.8090i	1.57444	+	1.14390i	0.922744	+	0.385413i	$0.125941\pi$
$191$	21.7592	+	15.8090i	1.57444	+	1.14390i	0.651693	+	0.758482i	$0.274059\pi$
$192$	0.743959	−	1.46010i	0.0536906	−	0.105374i
$193$	−4.39692	+	8.62943i	−0.316497	+	0.621160i	−0.993373	−	0.114937i	$-0.963333\pi$
$193$	−4.39692	+	8.62943i	−0.316497	+	0.621160i	0.676876	+	0.736097i	$0.263333\pi$
$194$	−11.5098	−	8.36237i	−0.826357	−	0.600383i
$195$	2.67166	+	1.62535i	0.191322	+	0.116394i
$196$	1.98343	−	6.10438i	0.141674	−	0.436027i
$197$	−5.96449	+	5.96449i	−0.424952	+	0.424952i	−0.886905	−	0.461952i	$-0.847149\pi$
$197$	−5.96449	+	5.96449i	−0.424952	+	0.424952i	0.461952	+	0.886905i	$0.347149\pi$
$198$	−0.993177	−	0.320135i	−0.0705820	−	0.0227510i
$199$		−	0.826885i		−	0.0586163i	−0.999570	−	0.0293082i	$-0.990670\pi$
$199$		−	0.826885i		−	0.0586163i	0.999570	−	0.0293082i	$-0.00933042\pi$
$200$	−1.51433	+	4.76517i	−0.107079	+	0.336948i
$201$	−7.17389	+	5.21214i	−0.506007	+	0.367636i
$202$	−1.46602	−	9.25610i	−0.103149	−	0.651257i
$203$	0.464371	+	0.236609i	0.0325924	+	0.0166067i
$204$	−0.733364	−	2.25706i	−0.0513458	−	0.158026i
$205$	27.0426	+	6.40001i	1.88873	+	0.446996i
$206$	0.0581043	+	0.0799737i	0.00404832	+	0.00557203i
$207$	−0.656395	+	0.334450i	−0.0456226	+	0.0232459i
$208$	0.603471	+	0.603471i	0.0418432	+	0.0418432i
$209$	−2.66682	−	16.5863i	−0.184468	−	1.14730i
$210$	−1.06094	+	2.58493i	−0.0732119	+	0.178377i
$211$	−13.8523	−	4.50087i	−0.953629	−	0.309853i	−0.209440	−	0.977822i	$-0.567164\pi$
$211$	−13.8523	−	4.50087i	−0.953629	−	0.309853i	−0.744190	+	0.667969i	$0.767164\pi$
$212$	−8.11188	−	1.28480i	−0.557126	−	0.0882402i
$213$	−12.8635	+	2.03738i	−0.881393	+	0.139599i
$214$	6.20910	−	2.01746i	0.424446	−	0.137911i
$215$	−24.0051	−	1.81123i	−1.63714	−	0.123525i
$216$	−3.19268	+	4.39435i	−0.217234	+	0.298998i
$217$	0.420011	−	2.65185i	0.0285122	−	0.180019i
$218$	5.36276	+	10.5250i	0.363212	+	0.712844i
$219$	−1.87569			−0.126748
$220$	−6.86738	−	2.79984i	−0.462999	−	0.188765i
$221$	1.23597			0.0831401
$222$	−6.03898	−	11.8522i	−0.405310	−	0.795465i
$223$	−0.210549	+	1.32935i	−0.0140994	+	0.0890201i	−0.993735	−	0.111766i	$-0.964349\pi$
$223$	−0.210549	+	1.32935i	−0.0140994	+	0.0890201i	0.979635	+	0.200786i	$0.0643494\pi$
$224$	−0.448214	+	0.616914i	−0.0299476	+	0.0412193i
$225$	0.705115	−	1.40626i	0.0470076	−	0.0937504i
$226$	−10.9638	+	3.56235i	−0.729300	+	0.236964i
$227$	2.02684	−	0.321020i	0.134526	−	0.0213068i	−0.0888083	−	0.996049i	$-0.528306\pi$
$227$	2.02684	−	0.321020i	0.134526	−	0.0213068i	0.223334	+	0.974742i	$0.428306\pi$
$228$	−8.19819	−	1.29847i	−0.542939	−	0.0859930i
$229$	17.0466	+	5.53877i	1.12647	+	0.366012i	0.812234	−	0.583332i	$-0.198251\pi$
$229$	17.0466	+	5.53877i	1.12647	+	0.366012i	0.314237	+	0.949345i	$0.398251\pi$
$230$	−4.83065	+	2.01923i	−0.318524	+	0.133144i
$231$	−3.69712	−	1.87289i	−0.243252	−	0.123227i
$232$	0.483284	+	0.483284i	0.0317291	+	0.0317291i
$233$	−21.9042	+	11.1608i	−1.43499	+	0.731166i	−0.986674	−	0.162707i	$-0.947977\pi$
$233$	−21.9042	+	11.1608i	−1.43499	+	0.731166i	−0.448320	+	0.893873i	$0.647977\pi$
$234$	−0.157828	−	0.217232i	−0.0103176	−	0.0142009i
$235$	24.1508	−	14.9072i	1.57542	−	0.972436i
$236$	0.133719	+	0.411545i	0.00870438	+	0.0267893i
$237$	−14.7287	−	7.50467i	−0.956735	−	0.487481i
$238$	0.172757	+	1.09074i	0.0111981	+	0.0707023i
$239$	2.40071	−	1.74422i	0.155289	−	0.112824i	−0.507427	−	0.861695i	$-0.669403\pi$
$239$	2.40071	−	1.74422i	0.155289	−	0.112824i	0.662717	+	0.748870i	$0.269403\pi$
$240$	−2.37074	+	2.79401i	−0.153030	+	0.180352i
$241$			21.2858i			1.37114i	0.728007	+	0.685570i	$0.240447\pi$
$241$			21.2858i			1.37114i	−0.728007	+	0.685570i	$0.759553\pi$
$242$	4.94797	−	9.82434i	0.318067	−	0.631532i
$243$	2.30213	−	2.30213i	0.147682	−	0.147682i
$244$	−3.91939	+	12.0627i	−0.250913	+	0.772232i
$245$	−7.45945	+	12.2615i	−0.476567	+	0.783356i
$246$	16.4762	+	11.9707i	1.05048	+	0.763221i
$247$	1.96252	−	3.85166i	0.124872	−	0.245075i
$248$	1.59848	−	3.13720i	0.101504	−	0.199212i
$249$	0.316667	+	0.230072i	0.0200680	+	0.0145802i
$250$	5.74904	−	9.58898i	0.363601	−	0.606460i
$251$	4.10394	−	12.6306i	0.259038	−	0.797238i	−0.733969	−	0.679183i	$-0.762334\pi$
$251$	4.10394	−	12.6306i	0.259038	−	0.797238i	0.993007	−	0.118055i	$-0.0376658\pi$
$252$	0.169647	−	0.169647i	0.0106868	−	0.0106868i
$253$	−2.41704	−	7.38007i	−0.151958	−	0.463981i
$254$		−	6.49040i		−	0.407244i
$255$	0.433447	+	5.28894i	0.0271435	+	0.331206i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	2.89548	+	18.2813i	0.180615	+	1.14036i	0.896796	+	0.442444i	$0.145888\pi$
$257$	2.89548	+	18.2813i	0.180615	+	1.14036i	−0.716181	+	0.697914i	$0.754112\pi$
$258$	−15.7194	−	8.00942i	−0.978645	−	0.498645i
$259$	1.91277	+	5.88692i	0.118854	+	0.365795i
$260$	−1.00236	−	1.62390i	−0.0621636	−	0.100710i
$261$	−0.126395	−	0.173968i	−0.00782367	−	0.0107684i
$262$	−1.39313	+	0.709837i	−0.0860681	+	0.0438539i
$263$	−17.4405	−	17.4405i	−1.07543	−	1.07543i	−0.996913	−	0.0785172i	$-0.974981\pi$
$263$	−17.4405	−	17.4405i	−1.07543	−	1.07543i	−0.0785172	−	0.996913i	$-0.525019\pi$
$264$	−3.85210	−	3.83411i	−0.237080	−	0.235973i
$265$	16.9895	+	6.97306i	1.04366	+	0.428352i
$266$	3.67341	+	1.19356i	0.225231	+	0.0731820i
$267$	−18.1442	−	2.87375i	−1.11040	−	0.175871i
$268$	5.34459	−	0.846501i	0.326473	−	0.0517083i
$269$	−19.3677	+	6.29294i	−1.18087	+	0.383687i	−0.832689	−	0.553741i	$-0.813200\pi$
$269$	−19.3677	+	6.29294i	−1.18087	+	0.383687i	−0.348179	+	0.937428i	$0.613200\pi$
$270$	9.21012	−	7.91779i	0.560510	−	0.481861i
$271$	4.38344	−	6.03328i	0.266275	−	0.366496i	−0.654853	−	0.755756i	$-0.727269\pi$
$271$	4.38344	−	6.03328i	0.266275	−	0.366496i	0.921128	+	0.389261i	$0.127269\pi$
$272$	−0.226552	+	1.43039i	−0.0137367	+	0.0867302i
$273$	−0.484159	−	0.950215i	−0.0293026	−	0.0575096i
$274$	−1.68793			−0.101972
$275$	13.5013	+	9.62885i	0.814159	+	0.580642i
$276$	−3.83700			−0.230960
$277$	−7.43406	−	14.5902i	−0.446669	−	0.876638i	−0.999072	−	0.0430609i	$-0.986289\pi$
$277$	−7.43406	−	14.5902i	−0.446669	−	0.876638i	0.552403	−	0.833577i	$-0.313711\pi$
$278$	−1.35731	+	8.56972i	−0.0814061	+	0.513978i
$279$	−0.651141	+	0.896219i	−0.0389828	+	0.0536552i
$280$	1.29299	−	1.11156i	0.0772709	−	0.0664286i
$281$	3.98244	−	1.29397i	0.237572	−	0.0771919i	−0.187811	−	0.982205i	$-0.560139\pi$
$281$	3.98244	−	1.29397i	0.237572	−	0.0771919i	0.425383	+	0.905013i	$0.360139\pi$
$282$	20.5431	−	3.25371i	1.22332	−	0.193755i
$283$	−27.3003	−	4.32395i	−1.62284	−	0.257032i	−0.722225	−	0.691658i	$-0.756881\pi$
$283$	−27.3003	−	4.32395i	−1.62284	−	0.257032i	−0.900611	+	0.434626i	$0.856881\pi$
$284$	7.55864	+	2.45595i	0.448523	+	0.145734i
$285$	17.1703	+	7.04725i	1.01708	+	0.417443i
$286$	2.51901	−	1.29093i	0.148952	−	0.0763345i
$287$	−6.70114	−	6.70114i	−0.395556	−	0.395556i
$288$	0.280334	−	0.142837i	0.0165188	−	0.00841677i
$289$	−8.75956	−	12.0565i	−0.515268	−	0.709206i
$290$	−0.802728	−	1.30048i	−0.0471378	−	0.0763670i
$291$	7.20436	+	22.1727i	0.422327	+	1.29979i
$292$	1.01986	+	0.519644i	0.0596827	+	0.0304099i
$293$	−2.92476	−	18.4662i	−0.170866	−	1.07881i	−0.912822	−	0.408357i	$-0.866102\pi$
$293$	−2.92476	−	18.4662i	−0.170866	−	1.07881i	0.741956	−	0.670448i	$-0.233898\pi$
$294$	−8.50932	+	6.18238i	−0.496274	+	0.360564i
$295$	−0.0790332	−	0.964368i	−0.00460149	−	0.0561477i
$296$			8.11735i			0.471812i
$297$	10.6230	+	14.5496i	0.616409	+	0.844253i
$298$	10.4236	−	10.4236i	0.603824	−	0.603824i
$299$	0.617509	−	1.90050i	0.0357115	−	0.109909i
$300$	6.59747	−	4.85878i	0.380905	−	0.280522i
$301$	6.64166	+	4.82545i	0.382819	+	0.278134i
$302$	−5.19760	+	10.2009i	−0.299088	+	0.586994i
$303$	−6.97200	+	13.6833i	−0.400531	+	0.786086i
$304$	4.09783	+	2.97724i	0.235026	+	0.170757i
$305$	14.7404	−	24.2295i	0.844031	−	1.38738i
$306$	0.140803	−	0.433347i	0.00804918	−	0.0247728i
$307$	7.13262	−	7.13262i	0.407080	−	0.407080i	−0.473639	−	0.880719i	$-0.657060\pi$
$307$	7.13262	−	7.13262i	0.407080	−	0.407080i	0.880719	+	0.473639i	$0.157060\pi$
$308$	1.49134	+	2.04259i	0.0849771	+	0.116387i
$309$		−	0.161991i		−	0.00921537i
$310$	−5.09381	+	6.00325i	−0.289309	+	0.340962i
$311$	18.5344	−	13.4660i	1.05099	−	0.763589i	0.0785899	−	0.996907i	$-0.474958\pi$
$311$	18.5344	−	13.4660i	1.05099	−	0.763589i	0.972401	+	0.233318i	$0.0749582\pi$
$312$	−0.218779	−	1.38132i	−0.0123859	−	0.0782018i
$313$	12.9044	+	6.57514i	0.729402	+	0.371649i	0.778919	−	0.627125i	$-0.215768\pi$
$313$	12.9044	+	6.57514i	0.729402	+	0.371649i	−0.0495173	+	0.998773i	$0.515768\pi$
$314$	0.254714	+	0.783928i	0.0143743	+	0.0442396i
$315$	−0.456509	+	0.281782i	−0.0257214	+	0.0158766i
$316$	5.92927	+	8.16094i	0.333547	+	0.459089i
$317$	−1.99314	+	1.01556i	−0.111946	+	0.0570393i	−0.509067	−	0.860727i	$-0.670009\pi$
$317$	−1.99314	+	1.01556i	−0.111946	+	0.0570393i	0.397121	+	0.917766i	$0.370009\pi$
$318$	9.51676	+	9.51676i	0.533673	+	0.533673i
$319$	2.01732	−	1.03383i	0.112948	−	0.0578834i
$320$	2.06308	−	0.862376i	0.115330	−	0.0482083i
$321$	−10.1749	−	3.30603i	−0.567909	−	0.184525i
$322$	1.76350	+	0.279311i	0.0982762	+	0.0155654i
$323$	7.24520	−	1.14753i	0.403134	−	0.0638501i
$324$	7.56768	−	2.45889i	0.420427	−	0.136605i
$325$	1.34483	+	4.04973i	0.0745977	+	0.224639i
$326$	−5.25310	+	7.23027i	−0.290942	+	0.400447i
$327$	3.02815	−	19.1190i	0.167457	−	1.05728i
$328$	−5.64213	−	11.0733i	−0.311535	−	0.611421i
$329$	−9.67856			−0.533596
$330$	6.40756	+	10.3266i	0.352724	+	0.568461i
$331$	1.96672			0.108101			0.0540503	−	0.998538i	$-0.482787\pi$
$331$	1.96672			0.108101			0.0540503	+	0.998538i	$0.482787\pi$
$332$	−0.108440	−	0.212826i	−0.00595143	−	0.0116803i
$333$	0.399523	−	2.52249i	0.0218937	−	0.138232i
$334$	−12.4169	+	17.0904i	−0.679422	+	0.935144i
$335$	−12.0655	−	0.910366i	−0.659211	−	0.0497386i
$336$	1.18844	−	0.386146i	0.0648345	−	0.0210660i
$337$	−0.400422	+	0.0634205i	−0.0218123	+	0.00345474i	−0.167331	−	0.985901i	$-0.553515\pi$
$337$	−0.400422	+	0.0634205i	−0.0218123	+	0.00345474i	0.145519	+	0.989355i	$0.453515\pi$
$338$	−12.1206	−	1.91971i	−0.659272	−	0.104418i
$339$	17.9665	+	5.83766i	0.975805	+	0.317058i
$340$	1.22958	−	2.99581i	0.0666833	−	0.162470i
$341$	−8.27669	−	8.23804i	−0.448208	−	0.446115i
$342$	−1.12687	−	1.12687i	−0.0609344	−	0.0609344i
$343$	9.11701	−	4.64535i	0.492272	−	0.250825i
$344$	6.32806	+	8.70983i	0.341186	+	0.469602i
$345$	8.34916	+	1.97595i	0.449504	+	0.106381i
$346$	0.759756	+	2.33829i	0.0408447	+	0.125707i
$347$	9.52619	+	4.85384i	0.511393	+	0.260568i	0.690591	−	0.723245i	$-0.257350\pi$
$347$	9.52619	+	4.85384i	0.511393	+	0.260568i	−0.179198	+	0.983813i	$0.557350\pi$
$348$	−0.175207	−	1.10621i	−0.00939209	−	0.0592993i
$349$	−6.50852	+	4.72872i	−0.348393	+	0.253123i	−0.748195	−	0.663479i	$-0.769079\pi$
$349$	−6.50852	+	4.72872i	−0.348393	+	0.253123i	0.399801	+	0.916602i	$0.369079\pi$
$350$	−3.38592	+	1.75286i	−0.180985	+	0.0936944i
$351$			4.63563i			0.247432i
$352$	1.03227	+	3.15189i	0.0550203	+	0.167996i
$353$	17.8934	−	17.8934i	0.952372	−	0.952372i	−0.0465446	−	0.998916i	$-0.514821\pi$
$353$	17.8934	−	17.8934i	0.952372	−	0.952372i	0.998916	+	0.0465446i	$0.0148210\pi$
$354$	0.219127	−	0.674404i	0.0116465	−	0.0358442i
$355$	−15.1825	−	9.23654i	−0.805806	−	0.490224i
$356$	9.06926	+	6.58921i	0.480670	+	0.349227i
$357$	0.821582	−	1.61245i	0.0434828	−	0.0853397i
$358$	−7.22542	+	14.1807i	−0.381875	+	0.749473i
$359$	−13.1469	−	9.55175i	−0.693864	−	0.504122i	0.184064	−	0.982914i	$-0.441075\pi$
$359$	−13.1469	−	9.55175i	−0.693864	−	0.504122i	−0.877928	+	0.478792i	$0.841075\pi$
$360$	−0.683553	+	0.166444i	−0.0360264	+	0.00877237i
$361$	2.05687	−	6.33038i	0.108256	−	0.333178i
$362$	3.64046	−	3.64046i	0.191338	−	0.191338i
$363$	−16.0226	+	8.25863i	−0.840971	+	0.433466i
$364$			0.650787i			0.0341105i
$365$	−1.95157	−	1.65592i	−0.102150	−	0.0866750i
$366$	16.8150	−	12.2168i	0.878933	−	0.638582i
$367$	1.34090	+	8.46611i	0.0699944	+	0.441927i	0.997652	+	0.0684942i	$0.0218195\pi$
$367$	1.34090	+	8.46611i	0.0699944	+	0.441927i	−0.927657	+	0.373433i	$0.878181\pi$
$368$	2.08627	+	1.06301i	0.108754	+	0.0554131i
$369$	1.20830	+	3.71876i	0.0629015	+	0.193591i
$370$	4.18021	−	17.6630i	0.217319	−	0.918258i
$371$	−3.68118	−	5.06672i	−0.191118	−	0.263051i
$372$	−5.14097	+	2.61945i	−0.266547	+	0.135812i
$373$	23.2440	+	23.2440i	1.20353	+	1.20353i	0.973085	+	0.230446i	$0.0740184\pi$
$373$	23.2440	+	23.2440i	1.20353	+	1.20353i	0.230446	+	0.973085i	$0.425982\pi$
$374$	4.28478	+	2.17059i	0.221561	+	0.112238i
$375$	−16.8580	+	7.17501i	−0.870542	+	0.370516i
$376$	−12.0712	−	3.92217i	−0.622524	−	0.202270i
$377$	0.576114	+	0.0912475i	0.0296714	+	0.00469949i
$378$	−4.09095	+	0.647942i	−0.210416	+	0.0333266i
$379$	−12.1822	+	3.95823i	−0.625757	+	0.203321i	−0.604695	−	0.796457i	$-0.706705\pi$
$379$	−12.1822	+	3.95823i	−0.625757	+	0.203321i	−0.0210622	+	0.999778i	$0.506705\pi$
$380$	−7.38351	−	8.58863i	−0.378766	−	0.440588i
$381$	−6.25162	+	8.60462i	−0.320280	+	0.440828i
$382$	−4.20743	+	26.5647i	−0.215271	+	1.35917i
$383$	10.1184	+	19.8586i	0.517028	+	1.01473i	0.990959	+	0.134163i	$0.0428346\pi$
$383$	10.1184	+	19.8586i	0.517028	+	1.01473i	−0.473931	+	0.880562i	$0.657165\pi$
$384$	1.63871			0.0836251
$385$	−2.19323	−	5.21259i	−0.111777	−	0.265658i
$386$	−9.68504			−0.492955
$387$	−1.53778	−	3.01806i	−0.0781696	−	0.153417i
$388$	2.22558	−	14.0518i	0.112987	−	0.713370i
$389$	8.06422	−	11.0995i	0.408872	−	0.562765i	−0.554071	−	0.832470i	$-0.686926\pi$
$389$	8.06422	−	11.0995i	0.408872	−	0.562765i	0.962943	+	0.269705i	$0.0869262\pi$
$390$	−0.235286	+	3.11836i	−0.0119141	+	0.157904i
$391$	3.22501	−	1.04787i	0.163096	−	0.0529930i
$392$	6.33950	−	1.00408i	0.320193	−	0.0507136i
$393$	2.53066	+	0.400817i	0.127655	+	0.0202186i
$394$	−8.02222	−	2.60658i	−0.404154	−	0.131318i
$395$	−8.69920	−	20.8113i	−0.437704	−	1.04713i
$396$	−0.165650	−	1.03027i	−0.00832425	−	0.0517728i
$397$	−0.807418	−	0.807418i	−0.0405232	−	0.0405232i	0.686555	−	0.727078i	$-0.259122\pi$
$397$	−0.807418	−	0.807418i	−0.0405232	−	0.0405232i	−0.727078	+	0.686555i	$0.759122\pi$
$398$	0.736760	−	0.375398i	0.0369304	−	0.0188170i
$399$	−3.72035	−	5.12062i	−0.186251	−	0.256352i
$400$	−4.93328	+	0.814066i	−0.246664	+	0.0407033i
$401$	4.25930	+	13.1088i	0.212700	+	0.654622i	0.999309	+	0.0371709i	$0.0118346\pi$
$401$	4.25930	+	13.1088i	0.212700	+	0.654622i	−0.786609	+	0.617451i	$0.788165\pi$
$402$	−7.90093	−	4.02572i	−0.394062	−	0.200785i
$403$	−0.470073	−	2.96793i	−0.0234160	−	0.147843i
$404$	7.58169	−	5.50842i	0.377203	−	0.274054i
$405$	−17.7332	+	1.45330i	−0.881172	+	0.0722150i
$406$			0.521176i			0.0258655i
$407$	25.6239	+	8.25948i	1.27013	+	0.409407i
$408$	1.67812	−	1.67812i	0.0830792	−	0.0830792i
$409$	6.24805	−	19.2295i	0.308946	−	0.950839i	−0.669229	−	0.743056i	$-0.733375\pi$
$409$	6.24805	−	19.2295i	0.308946	−	0.950839i	0.978175	−	0.207782i	$-0.0666246\pi$
$410$	6.57461	+	27.0006i	0.324697	+	1.33347i
$411$	2.23777	+	1.62584i	0.110381	+	0.0801966i
$412$	−0.0448783	+	0.0880786i	−0.00221099	+	0.00433932i
$413$	−0.149805	+	0.294008i	−0.00737140	+	0.0144672i
$414$	−0.595994	−	0.433015i	−0.0292915	−	0.0212815i
$415$	0.126362	+	0.518944i	0.00620287	+	0.0254740i
$416$	−0.263727	+	0.811667i	−0.0129303	+	0.0397953i
$417$	10.0539	−	10.0539i	0.492341	−	0.492341i
$418$	13.5678	−	9.90618i	0.663623	−	0.484527i
$419$			19.4960i			0.952442i	0.879326	+	0.476221i	$0.157994\pi$
$419$			19.4960i			0.952442i	−0.879326	+	0.476221i	$0.842006\pi$
$420$	−2.78484	+	0.228227i	−0.135886	+	0.0111364i
$421$	−2.31295	+	1.68045i	−0.112726	+	0.0819003i	−0.642720	−	0.766101i	$-0.722194\pi$
$421$	−2.31295	+	1.68045i	−0.112726	+	0.0819003i	0.529994	+	0.848001i	$0.322194\pi$
$422$	−2.27849	−	14.3858i	−0.110915	−	0.700290i
$423$	3.55811	+	1.81295i	0.173001	+	0.0881485i
$424$	−2.53796	−	7.81103i	−0.123254	−	0.379337i
$425$	−4.21827	+	5.88556i	−0.204616	+	0.285491i
$426$	−7.65523	−	10.5365i	−0.370897	−	0.510496i
$427$	−8.61756	+	4.39087i	−0.417033	+	0.212489i
$428$	4.61644	+	4.61644i	0.223144	+	0.223144i
$429$	−4.58300	−	0.714886i	−0.221269	−	0.0345150i
$430$	−9.28429	−	22.2110i	−0.447728	−	1.07111i
$431$	−15.3238	−	4.97899i	−0.738120	−	0.239830i	−0.0842582	−	0.996444i	$-0.526852\pi$
$431$	−15.3238	−	4.97899i	−0.738120	−	0.239830i	−0.653861	+	0.756614i	$0.726852\pi$
$432$	−5.36484	−	0.849707i	−0.258116	−	0.0408816i
$433$	−24.1225	+	3.82063i	−1.15925	+	0.183608i	−0.706291	−	0.707922i	$-0.749633\pi$
$433$	−24.1225	+	3.82063i	−1.15925	+	0.183608i	−0.452963	+	0.891529i	$0.649633\pi$
$434$	2.55349	−	0.829681i	0.122572	−	0.0398259i
$435$	−0.188426	+	2.49731i	−0.00903433	+	0.119737i
$436$	−6.94322	+	9.55652i	−0.332520	+	0.457674i
$437$	1.85531	−	11.7140i	0.0887517	−	0.560356i
$438$	−0.851547	−	1.67125i	−0.0406885	−	0.0798556i
$439$	−13.2566			−0.632702			−0.316351	−	0.948642i	$-0.602458\pi$
$439$	−13.2566			−0.632702			−0.316351	+	0.948642i	$0.602458\pi$
$440$	−0.623048	−	7.38998i	−0.0297026	−	0.352303i
$441$	−2.01944			−0.0961636
$442$	0.561117	+	1.10125i	0.0266896	+	0.0523813i
$443$	−0.340637	+	2.15069i	−0.0161841	+	0.102183i	−0.994458	−	0.105134i	$-0.966473\pi$
$443$	−0.340637	+	2.15069i	−0.0161841	+	0.102183i	0.978274	+	0.207316i	$0.0664729\pi$
$444$	7.81872	−	10.7615i	0.371060	−	0.510720i
$445$	−16.3411	−	19.0083i	−0.774642	−	0.901078i
$446$	−1.28005	+	0.415913i	−0.0606121	+	0.0196941i
$447$	−23.8592	+	3.77893i	−1.12850	+	0.178737i
$448$	−0.753160	−	0.119289i	−0.0355834	−	0.00563586i
$449$	−4.58948	−	1.49121i	−0.216591	−	0.0703747i	0.198712	−	0.980058i	$-0.436324\pi$
$449$	−4.58948	−	1.49121i	−0.216591	−	0.0703747i	−0.415303	+	0.909683i	$0.636324\pi$
$450$	1.57310	−	0.0101650i	0.0741566	−	0.000479182i
$451$	−40.6959	+	6.54326i	−1.91630	+	0.308110i
$452$	−8.15153	−	8.15153i	−0.383416	−	0.383416i
$453$	16.7163	−	8.51736i	0.785399	−	0.400181i
$454$	1.20620	+	1.66019i	0.0566096	+	0.0779164i
$455$	0.335137	−	1.41609i	0.0157115	−	0.0663871i
$456$	−2.56496	−	7.89413i	−0.120115	−	0.369677i
$457$	18.2443	+	9.29594i	0.853433	+	0.434846i	0.825257	−	0.564757i	$-0.191030\pi$
$457$	18.2443	+	9.29594i	0.853433	+	0.434846i	0.0281758	+	0.999603i	$0.491030\pi$
$458$	2.80391	+	17.7032i	0.131018	+	0.827215i
$459$	−6.36399	+	4.62371i	−0.297046	+	0.215816i
$460$	−3.99222	−	3.38743i	−0.186138	−	0.157940i
$461$			0.616244i			0.0287013i	0.999897	+	0.0143507i	$0.00456812\pi$
$461$			0.616244i			0.0287013i	−0.999897	+	0.0143507i	$0.995432\pi$
$462$	−0.00969884	−	4.14443i	−0.000451231	−	0.192816i
$463$	−13.5983	+	13.5983i	−0.631968	+	0.631968i	−0.948561	−	0.316593i	$-0.897461\pi$
$463$	−13.5983	+	13.5983i	−0.631968	+	0.631968i	0.316593	+	0.948561i	$0.397461\pi$
$464$	−0.211203	+	0.650015i	−0.00980484	+	0.0301762i
$465$	12.5355	−	3.05237i	0.581319	−	0.141550i
$466$	−19.8886	−	14.4499i	−0.921323	−	0.669380i
$467$	0.705649	−	1.38491i	0.0326535	−	0.0640862i	−0.874103	−	0.485740i	$-0.838550\pi$
$467$	0.705649	−	1.38491i	0.0326535	−	0.0640862i	0.906757	+	0.421654i	$0.138550\pi$
$468$	0.121903	−	0.239248i	0.00563495	−	0.0110592i
$469$	3.33825	+	2.42538i	0.154146	+	0.111994i
$470$	24.2466	+	14.7508i	1.11841	+	0.680404i
$471$	0.417402	−	1.28463i	0.0192329	−	0.0591927i
$472$	−0.305982	+	0.305982i	−0.0140840	+	0.0140840i
$473$	33.9331	−	11.1134i	1.56024	−	0.510994i
$474$		−	16.5305i		−	0.759269i
$475$	11.6433	+	22.4908i	0.534232	+	1.03195i
$476$	−0.893428	+	0.649114i	−0.0409502	+	0.0297521i
$477$	0.404231	+	2.55221i	0.0185084	+	0.116858i
$478$	2.64401	+	1.34719i	0.120934	+	0.0616191i
$479$	7.47583	+	23.0082i	0.341579	+	1.05127i	0.963390	+	0.268105i	$0.0863975\pi$
$479$	7.47583	+	23.0082i	0.341579	+	1.05127i	−0.621810	+	0.783168i	$0.713603\pi$
$480$	−3.56577	−	0.843891i	−0.162754	−	0.0385182i
$481$	4.07197	+	5.60459i	0.185666	+	0.255547i
$482$	−18.9658	+	9.66356i	−0.863869	+	0.440163i
$483$	−2.06892	−	2.06892i	−0.0941391	−	0.0941391i
$484$	10.9999	−	0.0514844i	0.499995	−	0.00234020i
$485$	−12.0790	+	29.4300i	−0.548481	+	1.33635i
$486$	3.09636	+	1.00607i	0.140454	+	0.0456362i
$487$	−18.5340	−	2.93550i	−0.839857	−	0.133020i	−0.278337	−	0.960483i	$-0.589783\pi$
$487$	−18.5340	−	2.93550i	−0.839857	−	0.133020i	−0.561520	+	0.827463i	$0.689783\pi$
$488$	−12.5273	+	1.98412i	−0.567083	+	0.0898171i
$489$	13.9285	−	4.52565i	0.629870	−	0.204657i
$490$	−14.3116	−	1.07983i	−0.646531	−	0.0487818i
$491$	14.9190	−	20.5343i	0.673285	−	0.926698i	−0.326544	−	0.945182i	$-0.605884\pi$
$491$	14.9190	−	20.5343i	0.673285	−	0.926698i	0.999829	+	0.0184843i	$0.00588406\pi$
$492$	−3.18590	+	20.1150i	−0.143631	+	0.906852i
$493$	0.449365	+	0.881928i	0.0202384	+	0.0397200i
$494$	4.32282			0.194493
$495$	−0.170109	+	2.32712i	−0.00764584	+	0.104596i
$496$	3.52096			0.158096
$497$	2.75138	+	5.39989i	0.123416	+	0.242218i
$498$	−0.0612320	+	0.386603i	−0.00274387	+	0.0173241i
$499$	5.36524	−	7.38462i	0.240181	−	0.330581i	−0.671861	−	0.740677i	$-0.734505\pi$
$499$	5.36524	−	7.38462i	0.240181	−	0.330581i	0.912042	+	0.410096i	$0.134505\pi$
$500$	11.1539	+	0.769128i	0.498815	+	0.0343965i
$501$	32.9232	−	10.6974i	1.47090	−	0.477925i
$502$	13.1171	−	2.07755i	0.585446	−	0.0927255i
$503$	22.1939	+	3.51517i	0.989577	+	0.156734i	0.630178	−	0.776451i	$-0.282982\pi$
$503$	22.1939	+	3.51517i	0.989577	+	0.156734i	0.359399	+	0.933184i	$0.382982\pi$
$504$	0.228175	+	0.0741386i	0.0101637	+	0.00330240i
$505$	−19.3341	+	8.08174i	−0.860358	+	0.359633i
$506$	5.47838	−	5.50408i	0.243544	−	0.244686i
$507$	14.2197	+	14.2197i	0.631519	+	0.631519i
$508$	5.78299	−	2.94658i	0.256579	−	0.130733i
$509$	16.8593	+	23.2049i	0.747276	+	1.02854i	0.998167	+	0.0605220i	$0.0192765\pi$
$509$	16.8593	+	23.2049i	0.747276	+	1.02854i	−0.250891	+	0.968015i	$0.580723\pi$
$510$	−4.51570	+	2.78733i	−0.199959	+	0.123425i
$511$	0.269717	+	0.830104i	0.0119316	+	0.0367217i
$512$	−0.891007	−	0.453990i	−0.0393773	−	0.0200637i
$513$	4.30393	+	27.1739i	0.190023	+	1.19976i
$514$	−14.9743	+	10.8794i	−0.660486	+	0.479871i
$515$	0.143011	−	0.168544i	0.00630184	−	0.00742696i
$516$		−	17.6423i		−	0.776657i
$517$	−24.6636	+	34.1141i	−1.08470	+	1.50034i
$518$	−4.37690	+	4.37690i	−0.192310	+	0.192310i
$519$	1.24502	−	3.83178i	0.0546503	−	0.168196i
$520$	0.991845	−	1.63034i	0.0434953	−	0.0714953i
$521$	−27.5311	−	20.0025i	−1.20616	−	0.876325i	−0.211282	−	0.977425i	$-0.567764\pi$
$521$	−27.5311	−	20.0025i	−1.20616	−	0.876325i	−0.994876	+	0.101100i	$0.967764\pi$
$522$	0.0976245	−	0.191599i	0.00427291	−	0.00838605i
$523$	12.9583	−	25.4321i	0.566628	−	1.11207i	−0.412903	−	0.910775i	$-0.635485\pi$
$523$	12.9583	−	25.4321i	0.566628	−	1.11207i	0.979531	−	0.201295i	$-0.0645149\pi$
$524$	−1.26494	−	0.919032i	−0.0552591	−	0.0401481i
$525$	6.17724	+	0.937504i	0.269597	+	0.0409160i
$526$	7.62180	−	23.4575i	0.332326	−	1.02279i
$527$	3.60563	−	3.60563i	0.157064	−	0.157064i
$528$	1.66740	−	5.17290i	0.0725644	−	0.225122i
$529$			17.5175i			0.761630i
$530$	1.50003	+	18.3035i	0.0651572	+	0.795052i
$531$	0.110145	−	0.0800249i	0.00477988	−	0.00347278i
$532$	0.604220	+	3.81490i	0.0261963	+	0.165397i
$533$	−9.45038	−	4.81521i	−0.409341	−	0.208570i
$534$	−5.67674	−	17.4712i	−0.245657	−	0.756053i
$535$	−7.66786	−	12.4225i	−0.331510	−	0.537073i
$536$	3.18063	+	4.37777i	0.137382	+	0.189091i
$537$	23.2380	−	11.8404i	1.00280	−	0.510950i
$538$	−14.3998	−	14.3998i	−0.620819	−	0.620819i
$539$	3.28094	−	21.0335i	0.141320	−	0.905976i
$540$	11.2361	+	4.61167i	0.483525	+	0.198455i
$541$	29.0892	+	9.45165i	1.25064	+	0.406358i	0.858151	−	0.513398i	$-0.171613\pi$
$541$	29.0892	+	9.45165i	1.25064	+	0.406358i	0.392491	+	0.919756i	$0.371613\pi$
$542$	7.36573	+	1.16662i	0.316385	+	0.0501105i
$543$	−8.33284	+	1.31979i	−0.357596	+	0.0566377i
$544$	−1.37734	+	0.447525i	−0.0590530	+	0.0191875i
$545$	20.0295	−	17.2190i	0.857970	−	0.737582i
$546$	0.626844	−	0.862777i	0.0268265	−	0.0369235i
$547$	0.0192582	−	0.121591i	0.000823420	−	0.00519887i	−0.987273	−	0.159033i	$-0.949162\pi$
$547$	0.0192582	−	0.121591i	0.000823420	−	0.00519887i	0.988097	+	0.153834i	$0.0491623\pi$
$548$	−0.766306	−	1.50396i	−0.0327350	−	0.0642460i
$549$	3.99054			0.170312
$550$	−2.44991	+	16.4012i	−0.104464	+	0.699348i
$551$	3.46189			0.147481
$552$	−1.74196	−	3.41879i	−0.0741428	−	0.145513i
$553$	−1.20332	+	7.59748i	−0.0511705	+	0.323078i
$554$	9.62494	−	13.2476i	0.408924	−	0.562836i
$555$	−22.5551	+	19.3903i	−0.957411	+	0.823071i
$556$	−8.25188	+	2.68120i	−0.349958	+	0.113708i
$557$	−35.5695	+	5.63365i	−1.50713	+	0.238705i	−0.854690	−	0.519138i	$-0.826253\pi$
$557$	−35.5695	+	5.63365i	−1.50713	+	0.238705i	−0.652436	+	0.757844i	$0.726253\pi$
$558$	−1.09415	−	0.173296i	−0.0463190	−	0.00733621i
$559$	8.73836	+	2.83926i	0.369593	+	0.120088i
$560$	1.57741	+	0.647424i	0.0666579	+	0.0273587i
$561$	−3.58979	−	7.00479i	−0.151561	−	0.295743i
$562$	2.96093	+	2.96093i	0.124899	+	0.124899i
$563$	10.5592	−	5.38016i	0.445015	−	0.226747i	−0.217099	−	0.976150i	$-0.569659\pi$
$563$	10.5592	−	5.38016i	0.445015	−	0.226747i	0.662114	+	0.749403i	$0.269659\pi$
$564$	12.2254	+	16.8269i	0.514784	+	0.708539i
$565$	13.5396	+	21.9352i	0.569615	+	0.922822i
$566$	−8.54143	−	26.2878i	−0.359023	−	1.10496i
$567$	5.40635	+	2.75467i	0.227046	+	0.115685i
$568$	1.24328	+	7.84977i	0.0521669	+	0.329369i
$569$	28.8735	−	20.9778i	1.21044	−	0.879435i	0.215168	−	0.976577i	$-0.430970\pi$
$569$	28.8735	−	20.9778i	1.21044	−	0.879435i	0.995270	+	0.0971424i	$0.0309702\pi$
$570$	1.51599	+	18.4982i	0.0634979	+	0.774805i
$571$		−	31.2536i		−	1.30792i	−0.756528	−	0.653961i	$-0.773106\pi$
$571$		−	31.2536i		−	1.30792i	0.756528	−	0.653961i	$-0.226894\pi$
$572$	2.29384	+	1.65838i	0.0959101	+	0.0693404i
$573$	31.1653	−	31.1653i	1.30195	−	1.30195i
$574$	2.92851	−	9.01301i	0.122233	−	0.376196i
$575$	6.94248	+	9.42680i	0.289521	+	0.393125i
$576$	0.254538	+	0.184933i	0.0106057	+	0.00770553i
$577$	20.9695	−	41.1550i	0.872972	−	1.71330i	0.191454	−	0.981502i	$-0.438680\pi$
$577$	20.9695	−	41.1550i	0.872972	−	1.71330i	0.681518	−	0.731801i	$-0.261320\pi$
$578$	6.76566	−	13.2784i	0.281415	−	0.552307i
$579$	12.8399	+	9.32873i	0.533608	+	0.387689i
$580$	0.794308	−	1.30564i	0.0329819	−	0.0542139i
$581$	0.0562850	−	0.173227i	0.00233510	−	0.00718668i
$582$	−16.4854	+	16.4854i	−0.683340	+	0.683340i
$583$	−27.2394	+	0.0637459i	−1.12814	+	0.00264009i
$584$			1.14461i			0.0473645i
$585$	−0.388461	+	0.457817i	−0.0160609	+	0.0189284i
$586$	15.1257	−	10.9894i	0.624836	−	0.453970i
$587$	−4.82637	−	30.4725i	−0.199205	−	1.25773i	−0.861216	−	0.508239i	$-0.830297\pi$
$587$	−4.82637	−	30.4725i	−0.199205	−	1.25773i	0.662011	−	0.749494i	$-0.269703\pi$
$588$	−9.37170	−	4.77512i	−0.386482	−	0.196923i
$589$	−5.51112	−	16.9615i	−0.227082	−	0.698885i
$590$	0.823378	−	0.508233i	0.0338979	−	0.0209236i
$591$	8.12474	+	11.1827i	0.334207	+	0.459997i
$592$	−7.23261	+	3.68520i	−0.297259	+	0.151461i
$593$	3.14365	+	3.14365i	0.129094	+	0.129094i	0.768702	−	0.639607i	$-0.220903\pi$
$593$	3.14365	+	3.14365i	0.129094	+	0.129094i	−0.639607	+	0.768702i	$0.720903\pi$
$594$	−8.14103	+	16.0705i	−0.334031	+	0.659382i
$595$	2.27834	−	0.952355i	0.0934028	−	0.0390427i
$596$	14.0197	+	4.55529i	0.574271	+	0.186592i
$597$	−1.33834	−	0.211973i	−0.0547747	−	0.00867547i
$598$	1.97370	−	0.312603i	0.0807105	−	0.0127833i
$599$	8.63991	−	2.80728i	0.353017	−	0.114702i	−0.127140	−	0.991885i	$-0.540580\pi$
$599$	8.63991	−	2.80728i	0.353017	−	0.114702i	0.480157	+	0.877183i	$0.340580\pi$
$600$	7.32439	+	3.67255i	0.299017	+	0.149931i
$601$	−17.5277	+	24.1249i	−0.714971	+	0.984074i	0.284705	+	0.958615i	$0.408105\pi$
$601$	−17.5277	+	24.1249i	−0.714971	+	0.984074i	−0.999676	+	0.0254583i	$0.991895\pi$
$602$	−1.28426	+	8.10847i	−0.0523423	+	0.330476i
$603$	−0.772923	−	1.51695i	−0.0314759	−	0.0617749i
$604$	−11.4487			−0.465841
$605$	−23.9618	−	5.55260i	−0.974186	−	0.225745i
$606$	−15.3572			−0.623842
$607$	9.38932	+	18.4276i	0.381101	+	0.747952i	0.999274	−	0.0380895i	$-0.0121272\pi$
$607$	9.38932	+	18.4276i	0.381101	+	0.747952i	−0.618174	+	0.786041i	$0.712127\pi$
$608$	−0.792370	+	5.00283i	−0.0321349	+	0.202892i
$609$	0.502002	−	0.690946i	0.0203421	−	0.0279985i
$610$	28.2806	+	2.13382i	1.14505	+	0.0863958i
$611$	−10.3020	+	3.34732i	−0.416774	+	0.135418i
$612$	0.450039	−	0.0712791i	0.0181917	−	0.00288129i
$613$	−12.4538	−	1.97249i	−0.503005	−	0.0796682i	−0.100225	−	0.994965i	$-0.531956\pi$
$613$	−12.4538	−	1.97249i	−0.503005	−	0.0796682i	−0.402780	+	0.915297i	$0.631956\pi$
$614$	9.59336	+	3.11707i	0.387156	+	0.125795i
$615$	17.2910	−	42.1287i	0.697241	−	1.69879i
$616$	−1.14290	+	2.25611i	−0.0460489	+	0.0909013i
$617$	6.47501	+	6.47501i	0.260674	+	0.260674i	0.825328	−	0.564654i	$-0.190990\pi$
$617$	6.47501	+	6.47501i	0.260674	+	0.260674i	−0.564654	+	0.825328i	$0.690990\pi$
$618$	0.144335	−	0.0735426i	0.00580602	−	0.00295832i
$619$	−23.3769	−	32.1756i	−0.939598	−	1.29325i	−0.955996	−	0.293380i	$-0.905220\pi$
$619$	−23.3769	−	32.1756i	−0.939598	−	1.29325i	0.0163985	−	0.999866i	$-0.494780\pi$
$620$	−7.66148	−	1.81320i	−0.307692	−	0.0728198i
$621$	3.93015	+	12.0957i	0.157711	+	0.485385i
$622$	20.4128	+	10.4008i	0.818478	+	0.417035i
$623$	1.33725	+	8.44309i	0.0535759	+	0.338265i
$624$	1.13144	−	0.822040i	0.0452939	−	0.0329079i
$625$	−23.8743	−	7.41752i	−0.954971	−	0.296701i
$626$			14.4830i			0.578857i
$627$	−27.5292	+	0.0644241i	−1.09941	+	0.00257285i
$628$	−0.582847	+	0.582847i	−0.0232581	+	0.0232581i
$629$	−3.63272	+	11.1804i	−0.144846	+	0.445790i
$630$	−0.458321	−	0.278826i	−0.0182599	−	0.0111087i
$631$	−21.6416	−	15.7235i	−0.861537	−	0.625943i	0.0667657	−	0.997769i	$-0.478732\pi$
$631$	−21.6416	−	15.7235i	−0.861537	−	0.625943i	−0.928303	+	0.371825i	$0.878732\pi$
$632$	−4.57962	+	8.98801i	−0.182167	+	0.357524i
$633$	−10.8359	+	21.2666i	−0.430687	+	0.845271i
$634$	−1.80973	−	1.31485i	−0.0718737	−	0.0522193i
$635$	−14.1010	+	3.43356i	−0.559580	+	0.136257i
$636$	−4.15898	+	12.8000i	−0.164914	+	0.507554i
$637$	3.87339	−	3.87339i	0.153469	−	0.153469i
$638$	1.83699	+	1.32810i	0.0727273	+	0.0525799i
$639$		−	2.50053i		−	0.0989194i
$640$	1.70500	+	1.44671i	0.0673961	+	0.0571862i
$641$	−10.9993	+	7.99147i	−0.434447	+	0.315644i	−0.783425	−	0.621487i	$-0.786529\pi$
$641$	−10.9993	+	7.99147i	−0.434447	+	0.315644i	0.348978	+	0.937131i	$0.386529\pi$
$642$	−1.67362	−	10.5668i	−0.0660526	−	0.417040i
$643$	16.4511	+	8.38228i	0.648770	+	0.330565i	0.747220	−	0.664577i	$-0.231388\pi$
$643$	16.4511	+	8.38228i	0.648770	+	0.330565i	−0.0984497	+	0.995142i	$0.531388\pi$
$644$	0.551745	+	1.69810i	0.0217418	+	0.0669144i
$645$	−9.08527	+	38.3889i	−0.357732	+	1.51156i
$646$	4.31171	+	5.93456i	0.169642	+	0.233492i
$647$	16.0422	−	8.17393i	0.630686	−	0.321350i	−0.109264	−	0.994013i	$-0.534849\pi$
$647$	16.0422	−	8.17393i	0.630686	−	0.321350i	0.739950	+	0.672662i	$0.234849\pi$
$648$	5.62654	+	5.62654i	0.221031	+	0.221031i
$649$	0.654551	+	1.27723i	0.0256934	+	0.0501357i
$650$	−2.99780	+	3.03679i	−0.117583	+	0.119113i
$651$	−4.18444	−	1.35961i	−0.164001	−	0.0532872i
$652$	−8.82707	−	1.39807i	−0.345695	−	0.0547527i
$653$	−26.2280	+	4.15411i	−1.02638	+	0.162563i	−0.646851	−	0.762616i	$-0.723914\pi$
$653$	−26.2280	+	4.15411i	−1.02638	+	0.162563i	−0.379531	+	0.925179i	$0.623914\pi$
$654$	18.4099	−	5.98173i	0.719883	−	0.233904i
$655$	2.27918	+	2.65118i	0.0890549	+	0.103590i
$656$	7.30492	−	10.0544i	0.285209	−	0.392557i
$657$	0.0563361	−	0.355692i	0.00219788	−	0.0138769i
$658$	−4.39397	−	8.62366i	−0.171295	−	0.336185i
$659$	−36.6251			−1.42671			−0.713356	−	0.700802i	$-0.752826\pi$
$659$	−36.6251			−1.42671			−0.713356	+	0.700802i	$0.752826\pi$
$660$	−6.29210	+	10.3974i	−0.244920	+	0.404717i
$661$	7.39959			0.287811			0.143905	−	0.989591i	$-0.454034\pi$
$661$	7.39959			0.287811			0.143905	+	0.989591i	$0.454034\pi$
$662$	0.892871	+	1.75236i	0.0347024	+	0.0681073i
$663$	0.316841	−	2.00046i	0.0123051	−	0.0776912i
$664$	0.140398	−	0.193242i	0.00544851	−	0.00749923i
$665$	0.649806	−	8.61222i	0.0251984	−	0.333968i
$666$	2.42893	−	0.789208i	0.0941193	−	0.0305812i
$667$	1.58062	−	0.250345i	0.0612017	−	0.00969339i
$668$	−20.8648	−	3.30466i	−0.807283	−	0.127861i
$669$	2.09763	+	0.681562i	0.0810991	+	0.0263507i
$670$	−4.66650	−	11.1638i	−0.180283	−	0.431294i
$671$	−6.48335	+	41.5635i	−0.250287	+	1.60454i
$672$	0.883597	+	0.883597i	0.0340855	+	0.0340855i
$673$	−27.1875	+	13.8527i	−1.04800	+	0.533983i	−0.891183	−	0.453644i	$-0.850124\pi$
$673$	−27.1875	+	13.8527i	−1.04800	+	0.533983i	−0.156818	+	0.987627i	$0.550124\pi$
$674$	−0.238296	−	0.327986i	−0.00917881	−	0.0126335i
$675$	−22.0744	−	15.8211i	−0.849645	−	0.608954i
$676$	−3.79215	−	11.6710i	−0.145852	−	0.448886i
$677$	−26.6676	−	13.5878i	−1.02492	−	0.522223i	−0.141074	−	0.989999i	$-0.545055\pi$
$677$	−26.6676	−	13.5878i	−1.02492	−	0.522223i	−0.883847	+	0.467776i	$0.845055\pi$
$678$	2.95521	+	18.6585i	0.113494	+	0.716575i
$679$	8.77679	−	6.37671i	0.336822	−	0.244716i
$680$	3.22750	−	0.264505i	0.123769	−	0.0101433i
$681$		−	3.36280i		−	0.128863i
$682$	3.58261	−	11.1146i	0.137185	−	0.425599i
$683$	−13.9351	+	13.9351i	−0.533214	+	0.533214i	−0.921527	−	0.388314i	$-0.873058\pi$
$683$	−13.9351	+	13.9351i	−0.533214	+	0.533214i	0.388314	+	0.921527i	$0.373058\pi$
$684$	0.492462	−	1.51564i	0.0188298	−	0.0579521i
$685$	0.892954	+	3.66719i	0.0341180	+	0.140116i
$686$	8.27807	+	6.01437i	0.316058	+	0.229630i
$687$	13.3346	−	26.1706i	0.508747	−	0.998472i
$688$	−4.88763	+	9.59252i	−0.186339	+	0.365711i
$689$	−5.67063	−	4.11995i	−0.216034	−	0.156958i
$690$	2.02986	+	8.33622i	0.0772753	+	0.317354i
$691$	−9.06481	+	27.8986i	−0.344841	+	1.06131i	0.616827	+	0.787099i	$0.288418\pi$
$691$	−9.06481	+	27.8986i	−0.344841	+	1.06131i	−0.961669	+	0.274214i	$0.911582\pi$
$692$	−1.73851	+	1.73851i	−0.0660882	+	0.0660882i
$693$	0.466203	−	0.644841i	0.0177096	−	0.0244955i
$694$			10.6915i			0.405844i
$695$	19.3365	−	1.58469i	0.733476	−	0.0601108i
$696$	0.906102	−	0.658322i	0.0343457	−	0.0249536i
$697$	−2.81556	−	17.7767i	−0.106647	−	0.673341i
$698$	−7.16813	−	3.65234i	−0.271318	−	0.138243i
$699$	12.4489	+	38.3139i	0.470862	+	1.44916i
$700$	−3.09899	−	2.22109i	−0.117131	−	0.0839494i
$701$	4.36586	+	6.00910i	0.164896	+	0.226960i	0.883467	−	0.468494i	$-0.155203\pi$
$701$	4.36586	+	6.00910i	0.164896	+	0.226960i	−0.718570	+	0.695454i	$0.755203\pi$
$702$	−4.13037	+	2.10453i	−0.155891	+	0.0794304i
$703$	29.0734	+	29.0734i	1.09652	+	1.09652i
$704$	−2.33971	+	2.35069i	−0.0881813	+	0.0885950i
$705$	−17.9367	−	42.9104i	−0.675535	−	1.61610i
$706$	24.0666	+	7.81972i	0.905759	+	0.294299i
$707$	7.05822	+	1.11791i	0.265452	+	0.0420434i
$708$	0.700380	−	0.110929i	0.0263219	−	0.00416898i
$709$	−25.9291	+	8.42488i	−0.973788	+	0.316403i	−0.752344	−	0.658770i	$-0.771077\pi$
$709$	−25.9291	+	8.42488i	−0.973788	+	0.316403i	−0.221444	+	0.975173i	$0.571077\pi$
$710$	1.33708	−	17.7210i	0.0501798	−	0.665059i
$711$	1.86550	−	2.56765i	0.0699619	−	0.0962942i
$712$	−1.75367	+	11.0722i	−0.0657214	+	0.414949i
$713$	−3.74281	−	7.34567i	−0.140169	−	0.275098i
$714$	1.80969			0.0677260
$715$	−4.13727	−	4.78983i	−0.154725	−	0.179130i
$716$	−15.9154			−0.594785
$717$	−2.20766	−	4.33277i	−0.0824464	−	0.161810i
$718$	2.54212	−	16.0503i	0.0948712	−	0.598993i
$719$	−1.00656	+	1.38541i	−0.0375383	+	0.0516670i	−0.827374	−	0.561652i	$-0.810166\pi$
$719$	−1.00656	+	1.38541i	−0.0375383	+	0.0516670i	0.789835	+	0.613319i	$0.210166\pi$
$720$	−0.458629	−	0.533486i	−0.0170921	−	0.0198819i
$721$	−0.0716907	+	0.0232937i	−0.00266990	+	0.000867504i
$722$	6.57421	−	1.04125i	0.244667	−	0.0387514i
$723$	34.4519	+	5.45664i	1.28128	+	0.202935i
$724$	4.89640	+	1.59094i	0.181973	+	0.0591267i
$725$	−2.40075	+	2.43198i	−0.0891618	+	0.0903215i
$726$	−14.6326	−	10.5269i	−0.543068	−	0.390691i
$727$	−13.9556	−	13.9556i	−0.517583	−	0.517583i	0.399256	−	0.916839i	$-0.369268\pi$
$727$	−13.9556	−	13.9556i	−0.517583	−	0.517583i	−0.916839	+	0.399256i	$0.869268\pi$
$728$	−0.579855	+	0.295451i	−0.0214909	+	0.0109501i
$729$	−17.1672	−	23.6286i	−0.635822	−	0.875133i
$730$	0.589445	−	2.49064i	0.0218163	−	0.0921826i
$731$	4.81803	+	14.8284i	0.178201	+	0.548447i
$732$	18.5191	+	9.43595i	0.684485	+	0.348763i
$733$	−0.923038	−	5.82783i	−0.0340932	−	0.215256i	0.964760	−	0.263131i	$-0.0847551\pi$
$733$	−0.923038	−	5.82783i	−0.0340932	−	0.215256i	−0.998853	+	0.0478750i	$0.984755\pi$
$734$	−6.93460	+	5.03828i	−0.255961	+	0.185966i
$735$	17.9334	+	15.2166i	0.661483	+	0.561274i
$736$			2.34147i			0.0863079i
$737$	17.0556	−	5.58585i	0.628250	−	0.205757i
$738$	−2.76488	+	2.76488i	−0.101777	+	0.101777i
$739$	10.0720	−	30.9985i	0.370505	−	1.14030i	−0.575956	−	0.817480i	$-0.695370\pi$
$739$	10.0720	−	30.9985i	0.370505	−	1.14030i	0.946461	−	0.322817i	$-0.104630\pi$
$740$	17.6357	−	4.29426i	0.648300	−	0.157860i
$741$	−5.73096	−	4.16379i	−0.210532	−	0.152961i
$742$	2.84325	−	5.58020i	0.104379	−	0.204856i
$743$	19.3261	−	37.9296i	0.709007	−	1.39150i	−0.202113	−	0.979362i	$-0.564781\pi$
$743$	19.3261	−	37.9296i	0.709007	−	1.39150i	0.911120	−	0.412142i	$-0.135219\pi$
$744$	−4.66790	−	3.39143i	−0.171134	−	0.124336i
$745$	−28.1606	−	17.1319i	−1.03172	−	0.627665i
$746$	−10.1580	+	31.2632i	−0.371911	+	1.14463i
$747$	−0.0531402	+	0.0531402i	−0.00194430	+	0.00194430i
$748$	0.0112405	+	4.80319i	0.000410993	+	0.175622i
$749$			4.97840i			0.181907i
$750$	−14.0463	−	11.7632i	−0.512900	−	0.429530i
$751$	22.4102	−	16.2819i	0.817758	−	0.594136i	−0.0983111	−	0.995156i	$-0.531344\pi$
$751$	22.4102	−	16.2819i	0.817758	−	0.594136i	0.916070	+	0.401019i	$0.131344\pi$
$752$	−1.98553	−	12.5361i	−0.0724047	−	0.457146i
$753$	−19.3911	−	9.88024i	−0.706650	−	0.360056i
$754$	0.180248	+	0.554747i	0.00656425	+	0.0202027i
$755$	24.9119	+	5.89576i	0.906637	+	0.214569i
$756$	−2.43457	−	3.35090i	−0.0885445	−	0.121871i
$757$	14.2535	−	7.26251i	0.518051	−	0.263960i	−0.175357	−	0.984505i	$-0.556108\pi$
$757$	14.2535	−	7.26251i	0.518051	−	0.263960i	0.693409	+	0.720544i	$0.256108\pi$
$758$	−9.05740	−	9.05740i	−0.328980	−	0.328980i
$759$	−12.5645	+	2.02018i	−0.456063	+	0.0733277i
$760$	4.30048	−	10.4779i	0.155995	−	0.380074i
$761$	6.47967	+	2.10537i	0.234888	+	0.0763197i	0.424096	−	0.905617i	$-0.360592\pi$
$761$	6.47967	+	2.10537i	0.234888	+	0.0763197i	−0.189208	+	0.981937i	$0.560592\pi$
$762$	−10.5049	−	1.66382i	−0.380554	−	0.0602738i
$763$	−8.89670	+	1.40910i	−0.322082	+	0.0510128i
$764$	−25.5794	+	8.31126i	−0.925431	+	0.300691i
$765$	−1.01597	−	0.0766569i	−0.0367326	−	0.00277153i
$766$	−13.1004	+	18.0312i	−0.473338	+	0.651494i
$767$	−0.0577717	+	0.364756i	−0.00208602	+	0.0131706i
$768$	0.743959	+	1.46010i	0.0268453	+	0.0526869i
$769$	48.7563			1.75820			0.879098	−	0.476640i	$-0.158146\pi$
$769$	48.7563			1.75820			0.879098	+	0.476640i	$0.158146\pi$
$770$	3.64875	−	4.32065i	0.131492	−	0.155705i
$771$	30.3312			1.09235
$772$	−4.39692	−	8.62943i	−0.158248	−	0.310580i
$773$	4.09258	−	25.8396i	0.147200	−	0.929384i	−0.797944	−	0.602731i	$-0.794079\pi$
$773$	4.09258	−	25.8396i	0.147200	−	0.929384i	0.945144	−	0.326653i	$-0.105921\pi$
$774$	1.99097	−	2.74034i	0.0715641	−	0.0984995i
$775$	15.7373	+	7.89090i	0.565301	+	0.283449i
$776$	13.5306	−	4.39636i	0.485720	−	0.157820i
$777$	10.0185	−	1.58678i	0.359413	−	0.0569254i
$778$	13.5508	+	2.14623i	0.485818	+	0.0769461i
$779$	−59.8686	−	19.4525i	−2.14501	−	0.696957i
$780$	−2.88530	+	1.20607i	−0.103310	+	0.0431841i
$781$	26.0443	+	4.06256i	0.931939	+	0.145370i
$782$	2.39778	+	2.39778i	0.0857444	+	0.0857444i
$783$	−3.30777	+	1.68539i	−0.118210	+	0.0602310i
$784$	3.77271	+	5.19269i	0.134740	+	0.185453i
$785$	1.56840	−	0.968102i	0.0559787	−	0.0345531i
$786$	0.791765	+	2.43680i	0.0282413	+	0.0869179i
$787$	20.7757	+	10.5858i	0.740574	+	0.377341i	0.783217	−	0.621749i	$-0.213578\pi$
$787$	20.7757	+	10.5858i	0.740574	+	0.377341i	−0.0426425	+	0.999090i	$0.513578\pi$
$788$	−1.31953	−	8.33122i	−0.0470065	−	0.296787i
$789$	−32.6990	+	23.7572i	−1.16412	+	0.845780i
$790$	14.5936	−	17.1992i	0.519218	−	0.611919i
$791$		−	8.79065i		−	0.312560i
$792$	0.842769	−	0.615326i	0.0299465	−	0.0218647i
$793$	−7.65408	+	7.65408i	−0.271804	+	0.271804i
$794$	0.352855	−	1.08598i	0.0125223	−	0.0385398i
$795$	15.6414	−	25.7106i	0.554744	−	0.911860i
$796$	0.668964	+	0.486031i	0.0237108	+	0.0172269i
$797$	−16.0427	+	31.4855i	−0.568261	+	1.11527i	0.410804	+	0.911724i	$0.365248\pi$
$797$	−16.0427	+	31.4855i	−0.568261	+	1.11527i	−0.979064	+	0.203551i	$0.934752\pi$
$798$	2.87351	−	5.63957i	0.101721	−	0.199639i
$799$	−14.8709	−	10.8043i	−0.526093	−	0.382229i
$800$	−2.96500	−	4.02601i	−0.104829	−	0.142341i
$801$	1.08991	−	3.35441i	0.0385102	−	0.118522i
$802$	−9.74633	+	9.74633i	−0.344155	+	0.344155i
$803$	3.61319	+	1.16466i	0.127507	+	0.0410998i
$804$		−	8.86742i		−	0.312730i
$805$	−0.326103	−	3.97913i	−0.0114936	−	0.140246i
$806$	2.43103	−	1.76625i	0.0856295	−	0.0622135i
$807$	5.22043	+	32.9605i	0.183768	+	1.16026i
$808$	8.35005	+	4.25456i	0.293754	+	0.149675i
$809$	11.3255	+	34.8562i	0.398182	+	1.22548i	0.926455	+	0.376405i	$0.122840\pi$
$809$	11.3255	+	34.8562i	0.398182	+	1.22548i	−0.528273	+	0.849075i	$0.677160\pi$
$810$	−9.34562	−	15.1406i	−0.328372	−	0.531988i
$811$	14.6687	+	20.1898i	0.515089	+	0.708960i	0.984767	−	0.173878i	$-0.0556299\pi$
$811$	14.6687	+	20.1898i	0.515089	+	0.708960i	−0.469678	+	0.882838i	$0.655630\pi$
$812$	−0.464371	+	0.236609i	−0.0162962	+	0.00830334i
$813$	−8.64138	−	8.64138i	−0.303067	−	0.303067i
$814$	4.27378	+	26.5808i	0.149796	+	0.931657i
$815$	18.4874	+	7.58784i	0.647585	+	0.265790i
$816$	2.25706	+	0.733364i	0.0790130	+	0.0256729i
$817$	53.8602	+	8.53061i	1.88433	+	0.298448i
$818$	19.9702	−	3.16297i	0.698241	−	0.110591i
$819$	0.194733	−	0.0632726i	0.00680453	−	0.00221093i
$820$	−21.0729	+	18.1161i	−0.735899	+	0.632640i
$821$	7.96168	−	10.9583i	0.277865	−	0.382448i	−0.647160	−	0.762354i	$-0.724044\pi$
$821$	7.96168	−	10.9583i	0.277865	−	0.382448i	0.925025	+	0.379906i	$0.124044\pi$
$822$	−0.432704	+	2.73198i	−0.0150923	+	0.0952888i
$823$	3.90905	+	7.67193i	0.136261	+	0.267427i	0.949047	−	0.315136i	$-0.102050\pi$
$823$	3.90905	+	7.67193i	0.136261	+	0.267427i	−0.812786	+	0.582563i	$0.802050\pi$
$824$	−0.0988529			−0.00344371
$825$	19.0457	−	19.3840i	0.663087	−	0.674863i
$826$	−0.329973			−0.0114812
$827$	−4.53336	−	8.89722i	−0.157640	−	0.309387i	0.798655	−	0.601789i	$-0.205545\pi$
$827$	−4.53336	−	8.89722i	−0.157640	−	0.309387i	−0.956295	+	0.292403i	$0.905545\pi$
$828$	0.115244	−	0.727619i	0.00400499	−	0.0252865i
$829$	−12.4310	+	17.1098i	−0.431746	+	0.594247i	−0.968353	−	0.249585i	$-0.919706\pi$
$829$	−12.4310	+	17.1098i	−0.431746	+	0.594247i	0.536607	+	0.843832i	$0.319706\pi$
$830$	−0.405015	+	0.348185i	−0.0140583	+	0.0120857i
$831$	−25.5204	+	8.29209i	−0.885294	+	0.287649i
$832$	−0.842930	+	0.133507i	−0.0292233	+	0.00462852i
$833$	9.18100	+	1.45413i	0.318103	+	0.0503825i
$834$	13.5225	+	4.39371i	0.468244	+	0.152142i
$835$	43.6991	+	17.9356i	1.51227	+	0.620687i
$836$	14.9861	+	7.59169i	0.518306	+	0.262564i
$837$	13.5233	+	13.5233i	0.467434	+	0.467434i
$838$	−17.3711	+	8.85100i	−0.600073	+	0.305753i
$839$	23.3328	+	32.1148i	0.805537	+	1.10873i	0.991997	+	0.126264i	$0.0402986\pi$
$839$	23.3328	+	32.1148i	0.805537	+	1.10873i	−0.186460	+	0.982463i	$0.559701\pi$
$840$	−1.46764	−	2.37770i	−0.0506386	−	0.0820385i
$841$	−8.81714	−	27.1364i	−0.304039	−	0.935737i
$842$	−2.54735	−	1.29794i	−0.0877875	−	0.0447300i
$843$	−1.07344	−	6.77743i	−0.0369712	−	0.233427i
$844$	11.7834	−	8.56117i	0.405603	−	0.294688i
$845$	2.24131	+	27.3485i	0.0771033	+	0.940819i
$846$			3.99336i			0.137295i
$847$	5.95893	+	5.90340i	0.204751	+	0.202843i
$848$	5.80747	−	5.80747i	0.199429	−	0.199429i
$849$	−13.9969	+	43.0781i	−0.480373	+	1.47844i
$850$	−7.15913	−	1.08652i	−0.245556	−	0.0372674i
$851$	15.3766	+	11.1718i	0.527104	+	0.382964i
$852$	5.91271	−	11.6043i	0.202566	−	0.397558i
$853$	16.5238	−	32.4298i	0.565764	−	1.11037i	−0.414012	−	0.910272i	$-0.635873\pi$
$853$	16.5238	−	32.4298i	0.565764	−	1.11037i	0.979775	−	0.200102i	$-0.0641273\pi$
$854$	−7.82458	−	5.68489i	−0.267752	−	0.194533i
$855$	−1.85209	+	3.04438i	−0.0633402	+	0.104115i
$856$	−2.01746	+	6.20910i	−0.0689554	+	0.212223i
$857$	−10.3508	+	10.3508i	−0.353576	+	0.353576i	−0.861438	−	0.507862i	$-0.830436\pi$
$857$	−10.3508	+	10.3508i	−0.353576	+	0.353576i	0.507862	+	0.861438i	$0.330436\pi$
$858$	−1.44367	−	4.40804i	−0.0492861	−	0.150488i
$859$		−	21.8229i		−	0.744588i	−0.928115	−	0.372294i	$-0.878571\pi$
$859$		−	21.8229i		−	0.744588i	0.928115	−	0.372294i	$-0.121429\pi$
$860$	15.5752	−	18.3559i	0.531109	−	0.625933i
$861$	−12.5639	+	9.12819i	−0.428176	+	0.311088i
$862$	−2.52053	−	15.9140i	−0.0858495	−	0.542032i
$863$	−5.34286	−	2.72232i	−0.181873	−	0.0926690i	0.360683	−	0.932688i	$-0.382544\pi$
$863$	−5.34286	−	2.72232i	−0.181873	−	0.0926690i	−0.542556	+	0.840019i	$0.682544\pi$
$864$	−1.67849	−	5.16587i	−0.0571035	−	0.175746i
$865$	4.67821	−	2.88764i	0.159064	−	0.0981828i
$866$	−14.3556	−	19.7588i	−0.487823	−	0.671431i
$867$	−21.7594	+	11.0870i	−0.738988	+	0.376533i
$868$	1.89851	+	1.89851i	0.0644397	+	0.0644397i
$869$	23.7125	+	23.6018i	0.804392	+	0.800636i
$870$	−2.31066	+	0.965864i	−0.0783387	+	0.0327459i
$871$	4.39211	+	1.42708i	0.148821	+	0.0483548i
$872$	−11.6671	−	1.84788i	−0.395097	−	0.0625772i
$873$	−4.42105	+	0.700226i	−0.149630	+	0.0236991i
$874$	11.2795	−	3.66494i	0.381536	−	0.123969i
$875$	5.59947	+	6.42890i	0.189297	+	0.217337i
$876$	1.10250	−	1.51747i	0.0372502	−	0.0512705i
$877$	4.44076	−	28.0379i	0.149954	−	0.946771i	−0.791876	−	0.610682i	$-0.790895\pi$
$877$	4.44076	−	28.0379i	0.149954	−	0.946771i	0.941830	−	0.336090i	$-0.109105\pi$
$878$	−6.01836	−	11.8117i	−0.203110	−	0.398625i
$879$	−30.6379			−1.03339
$880$	6.30166	−	3.91012i	0.212429	−	0.131810i
$881$	−9.63291			−0.324541			−0.162270	−	0.986746i	$-0.551882\pi$
$881$	−9.63291			−0.324541			−0.162270	+	0.986746i	$0.551882\pi$
$882$	−0.916804	−	1.79933i	−0.0308704	−	0.0605866i
$883$	−7.79859	+	49.2384i	−0.262443	+	1.65700i	0.406471	+	0.913663i	$0.366759\pi$
$883$	−7.79859	+	49.2384i	−0.262443	+	1.65700i	−0.668915	+	0.743339i	$0.733241\pi$
$884$	−0.726483	+	0.999918i	−0.0244343	+	0.0336309i
$885$	−1.58112	−	0.119298i	−0.0531489	−	0.00401017i
$886$	−2.07093	+	0.672885i	−0.0695742	+	0.0226060i
$887$	−33.0342	+	5.23210i	−1.10918	+	0.175677i	−0.684035	−	0.729449i	$-0.739777\pi$
$887$	−33.0342	+	5.23210i	−1.10918	+	0.175677i	−0.425144	+	0.905126i	$0.639777\pi$
$888$	13.1382	+	2.08089i	0.440890	+	0.0698301i
$889$	4.70701	+	1.52940i	0.157868	+	0.0512944i
$890$	9.51779	−	23.1896i	0.319037	−	0.777317i
$891$	23.4863	−	12.0362i	0.786820	−	0.403227i
$892$	−0.951712	−	0.951712i	−0.0318657	−	0.0318657i
$893$	−57.2823	+	29.1868i	−1.91688	+	0.976698i
$894$	−14.1989	−	19.5431i	−0.474882	−	0.653619i
$895$	34.6312	+	8.19597i	1.15759	+	0.273961i
$896$	−0.235640	−	0.725226i	−0.00787219	−	0.0242281i
$897$	−2.91772	−	1.48665i	−0.0974200	−	0.0496380i
$898$	−0.754900	−	4.76625i	−0.0251913	−	0.159052i
$899$	1.94687	−	1.41448i	0.0649316	−	0.0471756i
$900$	0.723229	+	1.39703i	0.0241076	+	0.0465675i
$901$		−	11.8942i		−	0.396255i
$902$	−24.3056	−	33.2897i	−0.809289	−	1.10843i
$903$	9.51275	−	9.51275i	0.316565	−	0.316565i
$904$	3.56235	−	10.9638i	0.118482	−	0.364650i
$905$	−9.83509	−	5.98333i	−0.326929	−	0.198893i
$906$	15.1781	+	11.0275i	0.504257	+	0.366364i
$907$	−19.2581	+	37.7962i	−0.639456	+	1.25500i	0.312833	+	0.949808i	$0.398722\pi$
$907$	−19.2581	+	37.7962i	−0.639456	+	1.25500i	−0.952290	+	0.305196i	$0.901278\pi$
$908$	−0.931635	+	1.82844i	−0.0309174	+	0.0606788i
$909$	−2.38540	−	1.73309i	−0.0791187	−	0.0574831i
$910$	1.41389	−	0.344280i	0.0468700	−	0.0114128i
$911$	−4.93516	+	15.1889i	−0.163509	+	0.503229i	−0.998923	−	0.0463915i	$-0.985228\pi$
$911$	−4.93516	+	15.1889i	−0.163509	+	0.503229i	0.835414	+	0.549621i	$0.185228\pi$
$912$	5.86926	−	5.86926i	0.194351	−	0.194351i
$913$	−0.467147	−	0.639819i	−0.0154603	−	0.0211749i
$914$			20.4761i			0.677288i
$915$	−35.4376	−	30.0691i	−1.17153	−	0.994053i
$916$	−14.5007	+	10.5354i	−0.479116	+	0.348098i
$917$	−0.186514	−	1.17760i	−0.00615923	−	0.0388879i
$918$	−7.00895	−	3.57124i	−0.231330	−	0.117868i
$919$	−7.78224	−	23.9513i	−0.256713	−	0.790080i	−0.993487	−	0.113942i	$-0.963652\pi$
$919$	−7.78224	−	23.9513i	−0.256713	−	0.790080i	0.736775	−	0.676138i	$-0.236348\pi$
$920$	1.20579	−	5.09495i	0.0397539	−	0.167976i
$921$	−9.71595	−	13.3729i	−0.320151	−	0.440651i
$922$	−0.549077	+	0.279769i	−0.0180829	+	0.00921369i
$923$	4.79616	+	4.79616i	0.157868	+	0.157868i
$924$	3.68831	−	1.89017i	0.121336	−	0.0621821i
$925$	−40.5859	+	0.262256i	−1.33446	+	0.00862293i
$926$	−18.2897	−	5.94269i	−0.601037	−	0.195289i
$927$	0.0307188	+	0.00486538i	0.00100894	+	0.000159800i
$928$	−0.675052	+	0.106918i	−0.0221597	+	0.00350974i
$929$	−8.61430	+	2.79896i	−0.282626	+	0.0918308i	−0.446900	−	0.894584i	$-0.647472\pi$
$929$	−8.61430	+	2.79896i	−0.282626	+	0.0918308i	0.164274	+	0.986415i	$0.447472\pi$
$930$	8.41067	+	9.78345i	0.275797	+	0.320812i
$931$	19.1095	−	26.3020i	0.626289	−	0.862012i
$932$	3.84574	−	24.2810i	0.125971	−	0.795352i
$933$	−17.0440	−	33.4507i	−0.557994	−	1.09513i
$934$	1.55432			0.0508591
$935$	2.44905	−	10.4573i	0.0800926	−	0.341992i
$936$	0.268514			0.00877665
$937$	−10.0962	−	19.8149i	−0.329829	−	0.647326i	0.665227	−	0.746641i	$-0.268335\pi$
$937$	−10.0962	−	19.8149i	−0.329829	−	0.647326i	−0.995056	+	0.0993152i	$0.968335\pi$
$938$	−0.645497	+	4.07551i	−0.0210762	+	0.133070i
$939$	13.9502	−	19.2007i	0.455246	−	0.626593i
$940$	−2.13533	+	28.3006i	−0.0696467	+	0.923064i
$941$	−20.9430	+	6.80478i	−0.682721	+	0.221829i	−0.629786	−	0.776769i	$-0.716857\pi$
$941$	−20.9430	+	6.80478i	−0.682721	+	0.221829i	−0.0529346	+	0.998598i	$0.516857\pi$
$942$	1.33411	−	0.211302i	0.0434677	−	0.00688461i
$943$	−28.7413	−	4.55217i	−0.935944	−	0.148239i
$944$	−0.411545	−	0.133719i	−0.0133947	−	0.00435219i
$945$	3.57191	+	8.54517i	0.116194	+	0.277974i
$946$	25.3074	+	25.1892i	0.822814	+	0.818972i
$947$	−2.70333	−	2.70333i	−0.0878464	−	0.0878464i	0.661818	−	0.749664i	$-0.269785\pi$
$947$	−2.70333	−	2.70333i	−0.0878464	−	0.0878464i	−0.749664	+	0.661818i	$0.769785\pi$
$948$	14.7287	−	7.50467i	0.478367	−	0.243740i
$949$	0.574182	+	0.790294i	0.0186387	+	0.0256540i
$950$	−14.7535	+	20.5849i	−0.478667	+	0.667862i
$951$	1.13277	+	3.48631i	0.0367326	+	0.113051i
$952$	−0.983972	−	0.501359i	−0.0318907	−	0.0162491i
$953$	−5.80899	−	36.6765i	−0.188172	−	1.18807i	−0.883168	−	0.469056i	$-0.844594\pi$
$953$	−5.80899	−	36.6765i	−0.188172	−	1.18807i	0.694997	−	0.719013i	$-0.255406\pi$
$954$	−2.09052	+	1.51885i	−0.0676831	+	0.0491746i
$955$	59.9399	−	4.91228i	1.93961	−	0.158958i
$956$			2.96744i			0.0959740i
$957$	−1.15615	−	3.53013i	−0.0373730	−	0.114113i
$958$	−17.1065	+	17.1065i	−0.552687	+	0.552687i
$959$	0.397745	−	1.22413i	0.0128439	−	0.0395294i
$960$	−0.866914	−	3.56024i	−0.0279795	−	0.114906i
$961$	15.0500	+	10.9345i	0.485484	+	0.352725i
$962$	−3.14509	+	6.17258i	−0.101402	+	0.199012i
$963$	0.932533	−	1.83020i	0.0300505	−	0.0589773i
$964$	−17.2206	−	12.5115i	−0.554638	−	0.402968i
$965$	5.12360	+	21.0416i	0.164934	+	0.677353i
$966$	0.904151	−	2.78269i	0.0290906	−	0.0895316i
$967$	−16.6994	+	16.6994i	−0.537017	+	0.537017i	−0.922652	−	0.385634i	$-0.873983\pi$
$967$	−16.6994	+	16.6994i	−0.537017	+	0.537017i	0.385634	+	0.922652i	$0.373983\pi$
$968$	5.03971	+	9.77759i	0.161983	+	0.314264i
$969$		−	12.0208i		−	0.386163i
$970$	−31.7061	+	2.59842i	−1.01802	+	0.0834302i
$971$	−21.9153	+	15.9224i	−0.703294	+	0.510973i	−0.881003	−	0.473110i	$-0.843131\pi$
$971$	−21.9153	+	15.9224i	−0.703294	+	0.510973i	0.177709	+	0.984083i	$0.443131\pi$
$972$	0.509304	+	3.21562i	0.0163359	+	0.103141i
$973$	−5.89515	−	3.00373i	−0.188990	−	0.0962951i
$974$	−5.79872	−	17.8466i	−0.185803	−	0.571843i
$975$	6.89938	−	1.13850i	0.220957	−	0.0364612i
$976$	−7.45513	−	10.2611i	−0.238633	−	0.328450i
$977$	36.0042	−	18.3451i	1.15188	−	0.586911i	0.229541	−	0.973299i	$-0.426278\pi$
$977$	36.0042	−	18.3451i	1.15188	−	0.586911i	0.922336	+	0.386388i	$0.126278\pi$
$978$	10.3558	+	10.3558i	0.331142	+	0.331142i
$979$	33.1671	+	16.8018i	1.06003	+	0.536989i
$980$	−5.53518	−	13.2419i	−0.176815	−	0.422998i
$981$	3.53462	+	1.14847i	0.112852	+	0.0366678i
$982$	25.0692	+	3.97058i	0.799992	+	0.126706i
$983$	23.7573	−	3.76279i	0.757740	−	0.120014i	0.234402	−	0.972140i	$-0.424687\pi$
$983$	23.7573	−	3.76279i	0.757740	−	0.120014i	0.523338	+	0.852125i	$0.324687\pi$
$984$	−19.3689	+	6.29334i	−0.617459	+	0.200624i
$985$	−1.41909	+	18.8079i	−0.0452159	+	0.599270i
$986$	−0.581796	+	0.800773i	−0.0185282	+	0.0255018i
$987$	−2.48111	+	15.6651i	−0.0789745	+	0.498625i
$988$	1.96252	+	3.85166i	0.0624361	+	0.122538i
$989$	25.2082			0.801573
$990$	−2.15071	+	0.904923i	−0.0683540	+	0.0287603i
$991$	−4.81752			−0.153034			−0.0765169	−	0.997068i	$-0.524380\pi$
$991$	−4.81752			−0.153034			−0.0765169	+	0.997068i	$0.524380\pi$
$992$	1.59848	+	3.13720i	0.0507519	+	0.0996062i
$993$	0.504170	−	3.18320i	0.0159993	−	0.101016i
$994$	−3.56224	+	4.90300i	−0.112987	+	0.155514i
$995$	−1.20535	−	1.40208i	−0.0382121	−	0.0444490i
$996$	−0.372265	+	0.120956i	−0.0117957	+	0.00383264i
$997$	−36.3270	+	5.75364i	−1.15049	+	0.182219i	−0.702409	−	0.711774i	$-0.747892\pi$
$997$	−36.3270	+	5.75364i	−1.15049	+	0.182219i	−0.448080	+	0.893993i	$0.647892\pi$
$998$	9.01551	+	1.42792i	0.285381	+	0.0451999i
$999$	−41.9332	−	13.6249i	−1.32671	−	0.431073i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	110.2.k.a.57.6	yes	48
3.2	odd	2		990.2.bh.c.937.1		48
4.3	odd	2		880.2.cm.c.497.2		48
5.2	odd	4		550.2.bh.b.343.1		48
5.3	odd	4	inner	110.2.k.a.13.6	✓	48
5.4	even	2		550.2.bh.b.57.1		48
11.6	odd	10	inner	110.2.k.a.17.6	yes	48
15.8	even	4		990.2.bh.c.343.3		48
20.3	even	4		880.2.cm.c.673.2		48
33.17	even	10		990.2.bh.c.127.3		48
44.39	even	10		880.2.cm.c.17.2		48
55.17	even	20		550.2.bh.b.193.1		48
55.28	even	20	inner	110.2.k.a.83.6	yes	48
55.39	odd	10		550.2.bh.b.457.1		48
165.83	odd	20		990.2.bh.c.523.1		48
220.83	odd	20		880.2.cm.c.193.2		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
110.2.k.a.13.6	✓	48	5.3	odd	4	inner
110.2.k.a.17.6	yes	48	11.6	odd	10	inner
110.2.k.a.57.6	yes	48	1.1	even	1	trivial
110.2.k.a.83.6	yes	48	55.28	even	20	inner
550.2.bh.b.57.1		48	5.4	even	2
550.2.bh.b.193.1		48	55.17	even	20
550.2.bh.b.343.1		48	5.2	odd	4
550.2.bh.b.457.1		48	55.39	odd	10
880.2.cm.c.17.2		48	44.39	even	10
880.2.cm.c.193.2		48	220.83	odd	20
880.2.cm.c.497.2		48	4.3	odd	2
880.2.cm.c.673.2		48	20.3	even	4
990.2.bh.c.127.3		48	33.17	even	10
990.2.bh.c.343.3		48	15.8	even	4
990.2.bh.c.523.1		48	165.83	odd	20
990.2.bh.c.937.1		48	3.2	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:	\( N \)	\(=\)	\( 110 = 2 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	110.k (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.453990 + 0.891007i) q^{2} +(0.256351 - 1.61854i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(1.69562 - 1.45770i) q^{5} +(1.55851 - 0.506390i) q^{6} +(-0.753160 + 0.119289i) q^{7} +(-0.987688 - 0.156434i) q^{8} +(0.299227 + 0.0972249i) q^{9} +(2.06861 + 0.849027i) q^{10} +(-1.49880 + 2.95865i) q^{11} +(1.15874 + 1.15874i) q^{12} +(-0.760418 + 0.387452i) q^{13} +(-0.448214 - 0.616914i) q^{14} +(-1.92466 - 3.11810i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(-1.29037 - 0.657479i) q^{17} +(0.0492184 + 0.310753i) q^{18} +(-4.09783 + 2.97724i) q^{19} +(0.182641 + 2.22860i) q^{20} +1.24960i q^{21} +(-3.31662 + 0.00776159i) q^{22} +(-1.65567 + 1.65567i) q^{23} +(-0.506390 + 1.55851i) q^{24} +(0.750246 - 4.94339i) q^{25} +(-0.690445 - 0.501638i) q^{26} +(2.46595 - 4.83969i) q^{27} +(0.346189 - 0.679435i) q^{28} +(-0.552936 - 0.401731i) q^{29} +(1.90447 - 3.13047i) q^{30} +(-1.08804 + 3.34864i) q^{31} +(0.707107 - 0.707107i) q^{32} +(4.40446 + 3.18431i) q^{33} -1.44822i q^{34} +(-1.10318 + 1.30015i) q^{35} +(-0.254538 + 0.184933i) q^{36} +(-1.26983 - 8.01741i) q^{37} +(-4.51312 - 2.29955i) q^{38} +(0.432172 + 1.33009i) q^{39} +(-1.90278 + 1.17450i) q^{40} +(7.30492 + 10.0544i) q^{41} +(-1.11340 + 0.567304i) q^{42} +(-7.61267 - 7.61267i) q^{43} +(-1.51263 - 2.95160i) q^{44} +(0.649100 - 0.271326i) q^{45} +(-2.22687 - 0.723555i) q^{46} +(12.5361 + 1.98553i) q^{47} +(-1.61854 + 0.256351i) q^{48} +(-6.10438 + 1.98343i) q^{49} +(4.74520 - 1.57578i) q^{50} +(-1.39494 + 1.91997i) q^{51} +(0.133507 - 0.842930i) q^{52} +(3.72862 + 7.31784i) q^{53} +5.43171 q^{54} +(1.77142 + 7.20153i) q^{55} +0.762548 q^{56} +(3.76830 + 7.39570i) q^{57} +(0.106918 - 0.675052i) q^{58} +(0.254349 - 0.350081i) q^{59} +(3.65388 + 0.275692i) q^{60} +(12.0627 - 3.91939i) q^{61} +(-3.47761 + 0.550800i) q^{62} +(-0.236964 - 0.0375314i) q^{63} +(0.951057 + 0.309017i) q^{64} +(-0.724592 + 1.76543i) q^{65} +(-0.837655 + 5.37005i) q^{66} +(-3.82631 - 3.82631i) q^{67} +(1.29037 - 0.657479i) q^{68} +(2.25533 + 3.10420i) q^{69} +(-1.65927 - 0.392691i) q^{70} +(-2.45595 - 7.55864i) q^{71} +(-0.280334 - 0.142837i) q^{72} +(-0.179057 - 1.13052i) q^{73} +(6.56708 - 4.77126i) q^{74} +(-7.80873 - 2.48154i) q^{75} -5.06519i q^{76} +(0.775899 - 2.40712i) q^{77} +(-0.988915 + 0.988915i) q^{78} +(3.11720 - 9.59376i) q^{79} +(-1.91033 - 1.16218i) q^{80} +(-6.43745 - 4.67708i) q^{81} +(-5.64213 + 11.0733i) q^{82} +(-0.108440 + 0.212826i) q^{83} +(-1.01094 - 0.734494i) q^{84} +(-3.14639 + 0.766141i) q^{85} +(3.32686 - 10.2390i) q^{86} +(-0.791962 + 0.791962i) q^{87} +(1.94318 - 2.68776i) q^{88} -11.2102i q^{89} +(0.536438 + 0.455173i) q^{90} +(0.526498 - 0.382523i) q^{91} +(-0.366287 - 2.31265i) q^{92} +(5.14097 + 2.61945i) q^{93} +(3.92217 + 12.0712i) q^{94} +(-2.60843 + 11.0217i) q^{95} +(-0.963210 - 1.32575i) q^{96} +(-12.6763 + 6.45889i) q^{97} +(-4.53858 - 4.53858i) q^{98} +(-0.736135 + 0.739589i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 4 q^{3} - 8 q^{5} - 20 q^{7} + 12 q^{11} - 16 q^{12} - 16 q^{15} + 12 q^{16} - 20 q^{17} - 4 q^{20} - 4 q^{22} - 8 q^{23} - 20 q^{25} + 8 q^{26} + 8 q^{27} - 20 q^{28} + 16 q^{31} - 104 q^{33} - 4 q^{36}+ \cdots + 72 q^{97}+O(q^{100}) \) 48 * q - 4 * q^3 - 8 * q^5 - 20 * q^7 + 12 * q^11 - 16 * q^12 - 16 * q^15 + 12 * q^16 - 20 * q^17 - 4 * q^20 - 4 * q^22 - 8 * q^23 - 20 * q^25 + 8 * q^26 + 8 * q^27 - 20 * q^28 + 16 * q^31 - 104 * q^33 - 4 * q^36 + 20 * q^37 - 36 * q^38 - 20 * q^41 - 20 * q^42 + 16 * q^45 + 40 * q^46 + 40 * q^47 + 4 * q^48 + 40 * q^50 + 40 * q^51 + 40 * q^52 + 96 * q^55 - 8 * q^56 + 48 * q^58 + 20 * q^60 + 80 * q^61 + 40 * q^62 + 100 * q^63 + 24 * q^66 + 20 * q^68 - 56 * q^70 - 56 * q^71 - 20 * q^73 - 76 * q^75 - 96 * q^77 + 16 * q^78 - 12 * q^80 - 68 * q^81 - 80 * q^85 - 56 * q^86 - 4 * q^88 - 80 * q^90 - 68 * q^91 - 12 * q^92 + 76 * q^93 + 20 * q^95 + 72 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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