LMFDB - Embedded newform 158.2.e.a.87.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [158,2,Mod(21,158)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(158, base_ring=CyclotomicField(26)) chi = DirichletCharacter(H, H._module([18])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("158.21"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 158 = 2 \cdot 79 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	158.e (of order $13$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [48,-4] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.26163635194$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$4$ over $\Q(\zeta_{13})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{13}]$

Embedding invariants

Embedding label			87.4
Character	$\chi$	$=$	158.87
Dual form			158.2.e.a.89.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.354605 + 0.935016i) q^{2} +(2.70715 + 1.42082i) q^{3} +(-0.748511 - 0.663123i) q^{4} +(0.0216091 - 0.177967i) q^{5} +(-2.28846 + 2.02740i) q^{6} +(-0.585393 - 0.307238i) q^{7} +(0.885456 - 0.464723i) q^{8} +(3.60574 + 5.22382i) q^{9} +(0.158739 + 0.0833128i) q^{10} +(-0.199550 - 1.64344i) q^{11} +(-1.08415 - 2.85868i) q^{12} +(-4.38378 - 3.88369i) q^{13} +(0.494856 - 0.438404i) q^{14} +(0.311359 - 0.451081i) q^{15} +(0.120537 + 0.992709i) q^{16} +(1.30679 + 1.15771i) q^{17} +(-6.16297 + 1.51904i) q^{18} +(-3.81758 + 0.940950i) q^{19} +(-0.134189 + 0.118881i) q^{20} +(-1.14822 - 1.66348i) q^{21} +(1.60741 + 0.396191i) q^{22} -1.98691 q^{23} +3.05735 q^{24} +(4.82350 + 1.18889i) q^{25} +(5.18582 - 2.72173i) q^{26} +(1.23360 + 10.1596i) q^{27} +(0.234437 + 0.618158i) q^{28} +(4.72689 - 6.84809i) q^{29} +(0.311359 + 0.451081i) q^{30} +(-1.45511 + 3.83682i) q^{31} +(-0.970942 - 0.239316i) q^{32} +(1.79483 - 4.73258i) q^{33} +(-1.54587 + 0.811337i) q^{34} +(-0.0673281 + 0.0975415i) q^{35} +(0.765096 - 6.30113i) q^{36} +(-8.02560 + 1.97813i) q^{37} +(0.473930 - 3.90317i) q^{38} +(-6.34952 - 16.7423i) q^{39} +(-0.0635715 - 0.167624i) q^{40} +(-0.377294 + 3.10729i) q^{41} +(1.96254 - 0.483724i) q^{42} +(1.05992 - 8.72921i) q^{43} +(-0.940440 + 1.36246i) q^{44} +(1.00758 - 0.528821i) q^{45} +(0.704568 - 1.85779i) q^{46} +(12.0491 + 2.96983i) q^{47} +(-1.08415 + 2.85868i) q^{48} +(-3.72816 - 5.40118i) q^{49} +(-2.82207 + 4.08847i) q^{50} +(1.89277 + 4.99082i) q^{51} +(0.705943 + 5.81396i) q^{52} +(8.58668 - 4.50664i) q^{53} +(-9.93684 - 2.44921i) q^{54} -0.296791 q^{55} -0.661121 q^{56} +(-11.6717 - 2.87682i) q^{57} +(4.72689 + 6.84809i) q^{58} +(-0.592316 + 0.524746i) q^{59} +(-0.532177 + 0.131170i) q^{60} +(-7.04555 + 1.73657i) q^{61} +(-3.07150 - 2.72111i) q^{62} +(-0.505821 - 4.16581i) q^{63} +(0.568065 - 0.822984i) q^{64} +(-0.785897 + 0.696244i) q^{65} +(3.78858 + 3.35639i) q^{66} +(5.34386 + 14.0906i) q^{67} +(-0.210439 - 1.73312i) q^{68} +(-5.37887 - 2.82305i) q^{69} +(-0.0673281 - 0.0975415i) q^{70} +(-11.2955 + 5.92832i) q^{71} +(5.62036 + 2.94979i) q^{72} +(-2.66203 + 2.35835i) q^{73} +(0.996330 - 8.20552i) q^{74} +(11.3688 + 10.0718i) q^{75} +(3.48147 + 1.82722i) q^{76} +(-0.388113 + 1.02337i) q^{77} +17.9059 q^{78} +(-0.848535 + 8.84760i) q^{79} +0.179274 q^{80} +(-4.34299 + 11.4515i) q^{81} +(-2.77158 - 1.45464i) q^{82} +(9.55250 + 8.46278i) q^{83} +(-0.243638 + 2.00654i) q^{84} +(0.234273 - 0.207548i) q^{85} +(7.78610 + 4.08646i) q^{86} +(22.5263 - 11.8227i) q^{87} +(-0.940440 - 1.36246i) q^{88} +(-14.7137 - 7.72234i) q^{89} +(0.137162 + 1.12963i) q^{90} +(1.37302 + 3.62035i) q^{91} +(1.48722 + 1.31757i) q^{92} +(-9.39065 + 8.31939i) q^{93} +(-7.04951 + 10.2130i) q^{94} +(0.0849635 + 0.699737i) q^{95} +(-2.28846 - 2.02740i) q^{96} +(-9.55809 + 2.35586i) q^{97} +(6.37221 - 1.57061i) q^{98} +(7.86553 - 6.96825i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 4 q^{2} - 2 q^{3} - 4 q^{4} + 11 q^{5} - 2 q^{6} - 8 q^{7} - 4 q^{8} - 18 q^{9} - 2 q^{10} - 8 q^{11} - 2 q^{12} + 16 q^{13} + 5 q^{14} - 2 q^{15} - 4 q^{16} + 6 q^{17} - 18 q^{18} + 6 q^{19} - 2 q^{20}+ \cdots - 58 q^{99}+O(q^{100}) $ 48 * q - 4 * q^2 - 2 * q^3 - 4 * q^4 + 11 * q^5 - 2 * q^6 - 8 * q^7 - 4 * q^8 - 18 * q^9 - 2 * q^10 - 8 * q^11 - 2 * q^12 + 16 * q^13 + 5 * q^14 - 2 * q^15 - 4 * q^16 + 6 * q^17 - 18 * q^18 + 6 * q^19 - 2 * q^20 - 12 * q^21 + 5 * q^22 - 16 * q^23 + 24 * q^24 - 17 * q^25 + 3 * q^26 + 7 * q^27 - 8 * q^28 - 34 * q^29 - 2 * q^30 - 19 * q^31 - 4 * q^32 + 8 * q^33 - 20 * q^34 + 122 * q^35 - 18 * q^36 - 4 * q^37 - 20 * q^38 - 50 * q^39 - 2 * q^40 - 36 * q^41 + 14 * q^42 - 24 * q^43 + 18 * q^44 - 4 * q^45 + 10 * q^46 - 22 * q^47 - 2 * q^48 - 28 * q^49 - 4 * q^50 + 78 * q^51 - 10 * q^52 - 12 * q^53 + 7 * q^54 - 88 * q^55 + 18 * q^56 - 28 * q^57 - 34 * q^58 - 52 * q^59 + 11 * q^60 - 47 * q^61 + 20 * q^62 + 11 * q^63 - 4 * q^64 - 16 * q^65 + 8 * q^66 + 67 * q^67 - 7 * q^68 - 4 * q^69 + 122 * q^70 - 12 * q^71 - 18 * q^72 + 101 * q^73 - 4 * q^74 - 62 * q^75 + 32 * q^76 + 113 * q^77 - 50 * q^78 - 2 * q^80 + 36 * q^81 + 29 * q^82 + 91 * q^83 + 53 * q^84 - q^85 - 24 * q^86 + 210 * q^87 + 18 * q^88 + 4 * q^89 + 126 * q^90 - 33 * q^91 - 3 * q^92 - 3 * q^93 + 17 * q^94 - 42 * q^95 - 2 * q^96 - 32 * q^97 + 24 * q^98 - 58 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/158\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{2}{13}\right)$

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 $

$2$	−0.354605	+	0.935016i	−0.250744	+	0.661156i
$2$	−0.354605	+	0.935016i	−0.250744	+	0.661156i
$3$	2.70715	+	1.42082i	1.56298	+	0.820313i	0.999981	−	0.00614822i	$-0.00195705\pi$
$3$	2.70715	+	1.42082i	1.56298	+	0.820313i	0.562994	+	0.826461i	$0.309649\pi$
$4$	−0.748511	−	0.663123i	−0.374255	−	0.331561i
$5$	0.0216091	−	0.177967i	0.00966389	−	0.0795893i	−0.987079	−	0.160234i	$-0.948775\pi$
$5$	0.0216091	−	0.177967i	0.00966389	−	0.0795893i	0.996743	+	0.0806452i	$0.0256981\pi$
$6$	−2.28846	+	2.02740i	−0.934261	+	0.827683i
$7$	−0.585393	−	0.307238i	−0.221258	−	0.116125i	0.350453	−	0.936580i	$-0.386028\pi$
$7$	−0.585393	−	0.307238i	−0.221258	−	0.116125i	−0.571711	+	0.820455i	$0.693720\pi$
$8$	0.885456	−	0.464723i	0.313056	−	0.164304i
$9$	3.60574	+	5.22382i	1.20191	+	1.74127i
$10$	0.158739	+	0.0833128i	0.0501978	+	0.0263458i
$11$	−0.199550	−	1.64344i	−0.0601667	−	0.495517i	−0.991378	−	0.131036i	$-0.958170\pi$
$11$	−0.199550	−	1.64344i	−0.0601667	−	0.495517i	0.931211	−	0.364481i	$-0.118754\pi$
$12$	−1.08415	−	2.85868i	−0.312968	−	0.825229i
$13$	−4.38378	−	3.88369i	−1.21584	−	1.07714i	−0.994797	−	0.101877i	$-0.967515\pi$
$13$	−4.38378	−	3.88369i	−1.21584	−	1.07714i	−0.221043	−	0.975264i	$-0.570946\pi$
$14$	0.494856	−	0.438404i	0.132256	−	0.117168i
$15$	0.311359	−	0.451081i	0.0803925	−	0.116469i
$16$	0.120537	+	0.992709i	0.0301342	+	0.248177i
$17$	1.30679	+	1.15771i	0.316942	+	0.280786i	0.806562	−	0.591150i	$-0.201326\pi$
$17$	1.30679	+	1.15771i	0.316942	+	0.280786i	−0.489619	+	0.871936i	$0.662864\pi$
$18$	−6.16297	+	1.51904i	−1.45263	+	0.358040i
$19$	−3.81758	+	0.940950i	−0.875814	+	0.215869i	−0.651500	−	0.758648i	$-0.725860\pi$
$19$	−3.81758	+	0.940950i	−0.875814	+	0.215869i	−0.224314	+	0.974517i	$0.572014\pi$
$20$	−0.134189	+	0.118881i	−0.0300055	+	0.0265825i
$21$	−1.14822	−	1.66348i	−0.250562	−	0.363001i
$22$	1.60741	+	0.396191i	0.342701	+	0.0844681i
$23$	−1.98691			−0.414300			−0.207150	−	0.978309i	$-0.566419\pi$
$23$	−1.98691			−0.414300			−0.207150	+	0.978309i	$0.566419\pi$
$24$	3.05735			0.624080
$25$	4.82350	+	1.18889i	0.964701	+	0.237777i
$26$	5.18582	−	2.72173i	1.01702	−	0.533775i
$27$	1.23360	+	10.1596i	0.237406	+	1.95522i
$28$	0.234437	+	0.618158i	0.0443044	+	0.116821i
$29$	4.72689	−	6.84809i	0.877762	−	1.27166i	−0.0836363	−	0.996496i	$-0.526653\pi$
$29$	4.72689	−	6.84809i	0.877762	−	1.27166i	0.961398	−	0.275161i	$-0.0887312\pi$
$30$	0.311359	+	0.451081i	0.0568461	+	0.0823558i
$31$	−1.45511	+	3.83682i	−0.261346	+	0.689113i	0.738543	+	0.674206i	$0.235514\pi$
$31$	−1.45511	+	3.83682i	−0.261346	+	0.689113i	−0.999889	+	0.0149062i	$0.995255\pi$
$32$	−0.970942	−	0.239316i	−0.171640	−	0.0423054i
$33$	1.79483	−	4.73258i	0.312440	−	0.823836i
$34$	−1.54587	+	0.811337i	−0.265115	+	0.139143i
$35$	−0.0673281	+	0.0975415i	−0.0113805	+	0.0164875i
$36$	0.765096	−	6.30113i	0.127516	−	1.05019i
$37$	−8.02560	+	1.97813i	−1.31940	+	0.325203i	−0.835292	−	0.549806i	$-0.814702\pi$
$37$	−8.02560	+	1.97813i	−1.31940	+	0.325203i	−0.484107	+	0.875009i	$0.660856\pi$
$38$	0.473930	−	3.90317i	0.0768817	−	0.633178i
$39$	−6.34952	−	16.7423i	−1.01674	−	2.68091i
$40$	−0.0635715	−	0.167624i	−0.0100515	−	0.0265037i
$41$	−0.377294	+	3.10729i	−0.0589234	+	0.485278i	0.933138	+	0.359520i	$0.117059\pi$
$41$	−0.377294	+	3.10729i	−0.0589234	+	0.485278i	−0.992061	+	0.125758i	$0.959864\pi$
$42$	1.96254	−	0.483724i	0.302827	−	0.0746402i
$43$	1.05992	−	8.72921i	0.161636	−	1.33119i	−0.655696	−	0.755025i	$-0.727625\pi$
$43$	1.05992	−	8.72921i	0.161636	−	1.33119i	0.817332	−	0.576167i	$-0.195452\pi$
$44$	−0.940440	+	1.36246i	−0.141777	+	0.205399i
$45$	1.00758	−	0.528821i	0.150202	−	0.0788320i
$46$	0.704568	−	1.85779i	0.103883	−	0.273917i
$47$	12.0491	+	2.96983i	1.75754	+	0.433195i	0.980542	−	0.196308i	$-0.0628951\pi$
$47$	12.0491	+	2.96983i	1.75754	+	0.433195i	0.776998	+	0.629503i	$0.216741\pi$
$48$	−1.08415	+	2.85868i	−0.156484	+	0.412614i
$49$	−3.72816	−	5.40118i	−0.532595	−	0.771597i
$50$	−2.82207	+	4.08847i	−0.399100	+	0.578197i
$51$	1.89277	+	4.99082i	0.265040	+	0.698854i
$52$	0.705943	+	5.81396i	0.0978966	+	0.806251i
$53$	8.58668	−	4.50664i	1.17947	−	0.619035i	0.243085	−	0.970005i	$-0.421841\pi$
$53$	8.58668	−	4.50664i	1.17947	−	0.619035i	0.936387	+	0.350970i	$0.114148\pi$
$54$	−9.93684	−	2.44921i	−1.35223	−	0.333295i
$55$	−0.296791			−0.0400193
$56$	−0.661121			−0.0883460
$57$	−11.6717	−	2.87682i	−1.54596	−	0.381044i
$58$	4.72689	+	6.84809i	0.620671	+	0.899198i
$59$	−0.592316	+	0.524746i	−0.0771130	+	0.0683161i	−0.700799	−	0.713359i	$-0.747173\pi$
$59$	−0.592316	+	0.524746i	−0.0771130	+	0.0683161i	0.623686	+	0.781675i	$0.285634\pi$
$60$	−0.532177	+	0.131170i	−0.0687038	+	0.0169340i
$61$	−7.04555	+	1.73657i	−0.902090	+	0.222345i	−0.662971	−	0.748645i	$-0.730705\pi$
$61$	−7.04555	+	1.73657i	−0.902090	+	0.222345i	−0.239119	+	0.970990i	$0.576859\pi$
$62$	−3.07150	−	2.72111i	−0.390080	−	0.345581i
$63$	−0.505821	−	4.16581i	−0.0637274	−	0.524843i
$64$	0.568065	−	0.822984i	0.0710081	−	0.102873i
$65$	−0.785897	+	0.696244i	−0.0974786	+	0.0863585i
$66$	3.78858	+	3.35639i	0.466342	+	0.413143i
$67$	5.34386	+	14.0906i	0.652856	+	1.72144i	0.691691	+	0.722194i	$0.256866\pi$
$67$	5.34386	+	14.0906i	0.652856	+	1.72144i	−0.0388347	+	0.999246i	$0.512365\pi$
$68$	−0.210439	−	1.73312i	−0.0255195	−	0.210172i
$69$	−5.37887	−	2.82305i	−0.647540	−	0.339855i
$70$	−0.0673281	−	0.0975415i	−0.00804724	−	0.0116584i
$71$	−11.2955	+	5.92832i	−1.34053	+	0.703563i	−0.973937	−	0.226820i	$-0.927167\pi$
$71$	−11.2955	+	5.92832i	−1.34053	+	0.703563i	−0.366590	+	0.930383i	$0.619475\pi$
$72$	5.62036	+	2.94979i	0.662365	+	0.347636i
$73$	−2.66203	+	2.35835i	−0.311567	+	0.276024i	−0.804385	−	0.594108i	$-0.797505\pi$
$73$	−2.66203	+	2.35835i	−0.311567	+	0.276024i	0.492819	+	0.870132i	$0.335967\pi$
$74$	0.996330	−	8.20552i	0.115821	−	0.953872i
$75$	11.3688	+	10.0718i	1.31275	+	1.16300i
$76$	3.48147	+	1.82722i	0.399352	+	0.209596i
$77$	−0.388113	+	1.02337i	−0.0442296	+	0.116624i
$78$	17.9059			2.02744
$79$	−0.848535	+	8.84760i	−0.0954677	+	0.995433i
$79$	−0.848535	+	8.84760i	−0.0954677	+	0.995433i
$80$	0.179274			0.0200435
$81$	−4.34299	+	11.4515i	−0.482555	+	1.27239i
$82$	−2.77158	−	1.45464i	−0.306070	−	0.160638i
$83$	9.55250	+	8.46278i	1.04852	+	0.928911i	0.997562	−	0.0697900i	$-0.0222329\pi$
$83$	9.55250	+	8.46278i	1.04852	+	0.928911i	0.0509617	+	0.998701i	$0.483771\pi$
$84$	−0.243638	+	2.00654i	−0.0265831	+	0.218932i
$85$	0.234273	−	0.207548i	0.0254105	−	0.0225117i
$86$	7.78610	+	4.08646i	0.839597	+	0.440655i
$87$	22.5263	−	11.8227i	2.41508	−	1.26753i
$88$	−0.940440	−	1.36246i	−0.100251	−	0.145239i
$89$	−14.7137	−	7.72234i	−1.55965	−	0.818566i	−0.559699	−	0.828696i	$-0.689083\pi$
$89$	−14.7137	−	7.72234i	−1.55965	−	0.818566i	−0.999949	+	0.0101294i	$0.996776\pi$
$90$	0.137162	+	1.12963i	0.0144581	+	0.119073i
$91$	1.37302	+	3.62035i	0.143931	+	0.379515i
$92$	1.48722	+	1.31757i	0.155054	+	0.137366i
$93$	−9.39065	+	8.31939i	−0.973765	+	0.862681i
$94$	−7.04951	+	10.2130i	−0.727102	+	1.05339i
$95$	0.0849635	+	0.699737i	0.00871707	+	0.0717915i
$96$	−2.28846	−	2.02740i	−0.233565	−	0.206921i
$97$	−9.55809	+	2.35586i	−0.970477	+	0.239201i	−0.692525	−	0.721394i	$-0.743502\pi$
$97$	−9.55809	+	2.35586i	−0.970477	+	0.239201i	−0.277952	+	0.960595i	$0.589656\pi$
$98$	6.37221	−	1.57061i	0.643691	−	0.158656i
$99$	7.86553	−	6.96825i	0.790515	−	0.700336i
$100$	−2.82207	−	4.08847i	−0.282207	−	0.408847i
$101$	0.108987	+	0.0268629i	0.0108446	+	0.00267295i	0.244734	−	0.969590i	$-0.421299\pi$
$101$	0.108987	+	0.0268629i	0.0108446	+	0.00267295i	−0.233890	+	0.972263i	$0.575145\pi$
$102$	−5.33768			−0.528509
$103$	−2.73494			−0.269482			−0.134741	−	0.990881i	$-0.543020\pi$
$103$	−2.73494			−0.269482			−0.134741	+	0.990881i	$0.543020\pi$
$104$	−5.68648	−	1.40159i	−0.557605	−	0.137437i
$105$	−0.320857	+	0.168399i	−0.0313124	+	0.0164340i
$106$	1.16890	+	9.62677i	0.113534	+	0.935034i
$107$	1.04032	+	2.74310i	0.100572	+	0.265186i	0.975853	−	0.218428i	$-0.0700930\pi$
$107$	1.04032	+	2.74310i	0.100572	+	0.265186i	−0.875281	+	0.483614i	$0.839324\pi$
$108$	5.81370	−	8.42260i	0.559424	−	0.810465i
$109$	1.26443	+	1.83185i	0.121111	+	0.175459i	0.878850	−	0.477098i	$-0.158311\pi$
$109$	1.26443	+	1.83185i	0.121111	+	0.175459i	−0.757739	+	0.652558i	$0.773696\pi$
$110$	0.105244	−	0.277504i	0.0100346	−	0.0264590i
$111$	−24.5371	−	6.04785i	−2.32896	−	0.574036i
$112$	0.234437	−	0.618158i	0.0221522	−	0.0584105i
$113$	−5.45611	+	2.86359i	−0.513268	+	0.269384i	−0.701410	−	0.712758i	$-0.747446\pi$
$113$	−5.45611	+	2.86359i	−0.513268	+	0.269384i	0.188142	+	0.982142i	$0.439753\pi$
$114$	6.82871	−	9.89310i	0.639568	−	0.926574i
$115$	−0.0429354	+	0.353605i	−0.00400374	+	0.0329738i
$116$	−8.07925	+	1.99136i	−0.750140	+	0.184893i
$117$	4.48091	−	36.9036i	0.414260	−	3.41174i
$118$	−0.280608	−	0.739903i	−0.0258321	−	0.0681136i
$119$	−0.409291	−	1.07921i	−0.0375196	−	0.0989312i
$120$	0.0660667	−	0.544108i	0.00603104	−	0.0496700i
$121$	8.01927	−	1.97657i	0.729025	−	0.179688i
$122$	0.874663	−	7.20350i	0.0791883	−	0.652174i
$123$	−5.43631	+	7.87585i	−0.490175	+	0.710141i
$124$	3.63345	−	1.90698i	0.326293	−	0.171252i
$125$	0.633672	−	1.67085i	0.0566773	−	0.149446i
$126$	4.07447	+	1.00427i	0.362982	+	0.0894671i
$127$	1.37233	−	3.61855i	0.121775	−	0.321094i	−0.860242	−	0.509885i	$-0.829688\pi$
$127$	1.37233	−	3.61855i	0.121775	−	0.321094i	0.982017	+	0.188791i	$0.0604570\pi$
$128$	0.568065	+	0.822984i	0.0502103	+	0.0727422i
$129$	15.2720	−	22.1254i	1.34463	−	1.94803i
$130$	−0.372317	−	0.981718i	−0.0326543	−	0.0861024i
$131$	−0.0799565	−	0.658501i	−0.00698583	−	0.0575335i	0.988799	−	0.149253i	$-0.0476868\pi$
$131$	−0.0799565	−	0.658501i	−0.00698583	−	0.0575335i	−0.995785	+	0.0917193i	$0.970764\pi$
$132$	−4.48173	+	2.35219i	−0.390085	+	0.204732i
$133$	2.52388	+	0.622081i	0.218848	+	0.0539413i
$134$	−15.0699			−1.30184
$135$	1.83473			0.157909
$136$	1.69512	+	0.417809i	0.145355	+	0.0358268i
$137$	5.30663	+	7.68799i	0.453376	+	0.656829i	0.981305	−	0.192460i	$-0.0616465\pi$
$137$	5.30663	+	7.68799i	0.453376	+	0.656829i	−0.527929	+	0.849289i	$0.677031\pi$
$138$	4.54697	−	4.02827i	0.387064	−	0.342909i
$139$	−6.19253	+	1.52632i	−0.525244	+	0.129461i	−0.493017	−	0.870020i	$-0.664106\pi$
$139$	−6.19253	+	1.52632i	−0.525244	+	0.129461i	−0.0322267	+	0.999481i	$0.510260\pi$
$140$	0.115078	−	0.0283641i	0.00972585	−	0.00239721i
$141$	28.3991	+	25.1594i	2.39164	+	2.11881i
$142$	−1.53765	−	12.6637i	−0.129037	−	1.06271i
$143$	−5.50784	+	7.97948i	−0.460589	+	0.667278i
$144$	−4.75111	+	4.20911i	−0.395926	+	0.350759i
$145$	−1.11659	−	0.989212i	−0.0927277	−	0.0821496i
$146$	−1.26113	−	3.32532i	−0.104372	−	0.275205i
$147$	−2.41859	−	19.9189i	−0.199482	−	1.64288i
$148$	7.31899	+	3.84130i	0.601617	+	0.315753i
$149$	−2.87482	−	4.16489i	−0.235514	−	0.341201i	0.687350	−	0.726326i	$-0.258774\pi$
$149$	−2.87482	−	4.16489i	−0.235514	−	0.341201i	−0.922864	+	0.385125i	$0.874158\pi$
$150$	−13.4488	+	7.05845i	−1.09809	+	0.576320i
$151$	−2.99343	−	1.57107i	−0.243602	−	0.127852i	0.338504	−	0.940965i	$-0.390079\pi$
$151$	−2.99343	−	1.57107i	−0.243602	−	0.127852i	−0.582106	+	0.813113i	$0.697771\pi$
$152$	−2.94302	+	2.60729i	−0.238711	+	0.211479i
$153$	−1.33574	+	11.0008i	−0.107988	+	0.889364i
$154$	−0.819241	−	0.725784i	−0.0660163	−	0.0584854i
$155$	0.651383	+	0.341872i	0.0523203	+	0.0274598i
$156$	−6.34952	+	16.7423i	−0.508368	+	1.34046i
$157$	−2.43305			−0.194178			−0.0970892	−	0.995276i	$-0.530953\pi$
$157$	−2.43305			−0.194178			−0.0970892	+	0.995276i	$0.530953\pi$
$158$	−7.97175	−	3.93080i	−0.634199	−	0.312717i
$159$	29.6486			2.35129
$160$	−0.0635715	+	0.167624i	−0.00502577	+	0.0132519i
$161$	1.16312	+	0.610455i	0.0916670	+	0.0481106i
$162$	−9.16732	−	8.12154i	−0.720253	−	0.638088i
$163$	2.28182	−	18.7925i	0.178726	−	1.47194i	−0.576834	−	0.816861i	$-0.695712\pi$
$163$	2.28182	−	18.7925i	0.178726	−	1.47194i	0.755560	−	0.655079i	$-0.227365\pi$
$164$	2.34293	−	2.07565i	0.182952	−	0.162081i
$165$	−0.803458	−	0.421687i	−0.0625492	−	0.0328283i
$166$	−11.3002	+	5.93080i	−0.877066	+	0.460320i
$167$	7.36391	+	10.6685i	0.569836	+	0.825551i	0.996901	−	0.0786707i	$-0.0250676\pi$
$167$	7.36391	+	10.6685i	0.569836	+	0.825551i	−0.427064	+	0.904221i	$0.640452\pi$
$168$	−1.78975	−	0.939335i	−0.138083	−	0.0724713i
$169$	2.56749	+	21.1452i	0.197499	+	1.62655i
$170$	0.110986	+	0.292647i	0.00851225	+	0.0224450i
$171$	−18.6806	−	16.5495i	−1.42854	−	1.26558i
$172$	−6.58190	+	5.83105i	−0.501865	+	0.444614i
$173$	6.89678	−	9.99171i	0.524353	−	0.759656i	−0.467915	−	0.883774i	$-0.654995\pi$
$173$	6.89678	−	9.99171i	0.524353	−	0.759656i	0.992268	+	0.124118i	$0.0396100\pi$
$174$	3.06650	+	25.2549i	0.232471	+	1.91457i
$175$	−2.45837	−	2.17793i	−0.185836	−	0.164636i
$176$	1.60741	−	0.396191i	0.121163	−	0.0298640i
$177$	−2.34906	+	0.578992i	−0.176566	+	0.0435197i
$178$	12.4381	−	11.0192i	0.932272	−	0.825921i
$179$	10.7311	+	15.5467i	0.802080	+	1.16201i	0.983907	+	0.178683i	$0.0571835\pi$
$179$	10.7311	+	15.5467i	0.802080	+	1.16201i	−0.181827	+	0.983331i	$0.558201\pi$
$180$	−1.10486	−	0.272324i	−0.0823515	−	0.0202978i
$181$	13.6618			1.01547			0.507736	−	0.861513i	$-0.330483\pi$
$181$	13.6618			1.01547			0.507736	+	0.861513i	$0.330483\pi$
$182$	−3.87196			−0.287009
$183$	−21.5407	−	5.30931i	−1.59234	−	0.392476i
$184$	−1.75932	+	0.923364i	−0.129699	+	0.0680713i
$185$	0.178616	+	1.47104i	0.0131321	+	0.108153i
$186$	−4.44879	−	11.7305i	−0.326201	−	0.860123i
$187$	1.64187	−	2.37865i	0.120065	−	0.173944i
$188$	−7.04951	−	10.2130i	−0.514138	−	0.744858i
$189$	2.39928	−	6.32637i	0.174522	−	0.460176i
$190$	−0.684394	−	0.168688i	−0.0496512	−	0.0122379i
$191$	−0.931425	+	2.45597i	−0.0673955	+	0.177707i	−0.964483	−	0.264146i	$-0.914910\pi$
$191$	−0.931425	+	2.45597i	−0.0673955	+	0.177707i	0.897087	+	0.441854i	$0.145679\pi$
$192$	2.70715	−	1.42082i	0.195372	−	0.102539i
$193$	14.4566	−	20.9441i	1.04061	−	1.50759i	0.190005	−	0.981783i	$-0.439149\pi$
$193$	14.4566	−	20.9441i	1.04061	−	1.50759i	0.850606	−	0.525803i	$-0.176235\pi$
$194$	1.18658	−	9.77237i	0.0851915	−	0.701615i
$195$	−3.11678	+	0.768218i	−0.223198	+	0.0550133i
$196$	−0.791073	+	6.51507i	−0.0565052	+	0.465362i
$197$	−6.80518	−	17.9438i	−0.484849	−	1.27844i	−0.924811	−	0.380426i	$-0.875777\pi$
$197$	−6.80518	−	17.9438i	−0.484849	−	1.27844i	0.439962	−	0.898016i	$-0.354992\pi$
$198$	3.72627	+	9.82537i	0.264815	+	0.698259i
$199$	0.956814	−	7.88007i	0.0678267	−	0.558603i	−0.918694	−	0.394969i	$-0.870755\pi$
$199$	0.956814	−	7.88007i	0.0678267	−	0.558603i	0.986521	−	0.163634i	$-0.0523217\pi$
$200$	4.82350	−	1.18889i	0.341073	−	0.0840670i
$201$	−5.55360	+	45.7381i	−0.391721	+	3.22611i
$202$	−0.0637645	+	0.0923788i	−0.00448645	+	0.00649975i
$203$	−4.87108	+	2.55654i	−0.341883	+	0.179434i
$204$	1.89277	−	4.99082i	0.132520	−	0.349427i
$205$	0.544843	+	0.134292i	0.0380535	+	0.00937934i
$206$	0.969824	−	2.55721i	0.0675708	−	0.178170i
$207$	−7.16429	−	10.3793i	−0.497952	−	0.721409i
$208$	3.32696	−	4.81994i	0.230683	−	0.334203i
$209$	2.30820	+	6.08622i	0.159661	+	0.420993i
$210$	−0.0436780	−	0.359721i	−0.00301407	−	0.0248231i
$211$	−6.58619	+	3.45670i	−0.453412	+	0.237969i	−0.675939	−	0.736957i	$-0.736262\pi$
$211$	−6.58619	+	3.45670i	−0.453412	+	0.237969i	0.222527	+	0.974927i	$0.428569\pi$
$212$	−9.41568	−	2.32076i	−0.646672	−	0.159390i
$213$	−39.0017			−2.67235
$214$	−2.93375			−0.200547
$215$	−1.53061	−	0.377261i	−0.104387	−	0.0257290i
$216$	5.81370	+	8.42260i	0.395572	+	0.573086i
$217$	2.03063	−	1.79898i	0.137848	−	0.122123i
$218$	−2.16118	+	0.532684i	−0.146374	+	0.0360779i
$219$	−10.5573	+	2.60214i	−0.713397	+	0.175837i
$220$	0.222151	+	0.196809i	0.0149774	+	0.0132688i
$221$	−1.23247	−	10.1503i	−0.0829049	−	0.682783i
$222$	14.3558	−	20.7980i	0.963499	−	1.39587i
$223$	5.35053	−	4.74015i	0.358298	−	0.317424i	−0.464701	−	0.885468i	$-0.653838\pi$
$223$	5.35053	−	4.74015i	0.358298	−	0.317424i	0.822998	+	0.568044i	$0.192300\pi$
$224$	0.494856	+	0.438404i	0.0330639	+	0.0292921i
$225$	11.1818	+	29.4839i	0.745452	+	1.96560i
$226$	−0.742737	−	6.11699i	−0.0494062	−	0.406896i
$227$	10.1489	+	5.32656i	0.673607	+	0.353536i	0.766595	−	0.642131i	$-0.221949\pi$
$227$	10.1489	+	5.32656i	0.673607	+	0.353536i	−0.0929879	+	0.995667i	$0.529642\pi$
$228$	6.82871	+	9.89310i	0.452243	+	0.655187i
$229$	15.0534	−	7.90064i	0.994758	−	0.522089i	0.112901	−	0.993606i	$-0.463986\pi$
$229$	15.0534	−	7.90064i	0.994758	−	0.522089i	0.881857	+	0.471517i	$0.156293\pi$
$230$	−0.315401	−	0.165535i	−0.0207969	−	0.0109151i
$231$	−2.50471	+	2.21898i	−0.164798	+	0.145998i
$232$	1.00299	−	8.26037i	0.0658496	−	0.542320i
$233$	5.65422	+	5.00921i	0.370421	+	0.328164i	0.827712	−	0.561153i	$-0.189642\pi$
$233$	5.65422	+	5.00921i	0.370421	+	0.328164i	−0.457292	+	0.889317i	$0.651180\pi$
$234$	32.9165	+	17.2759i	2.15182	+	1.12936i
$235$	0.788903	−	2.08017i	0.0514623	−	0.135695i
$236$	0.791326			0.0515109
$237$	−14.8680	+	22.7462i	−0.965780	+	1.47752i
$238$	1.15422			0.0748168
$239$	−0.248272	+	0.654640i	−0.0160594	+	0.0423451i	−0.942806	−	0.333341i	$-0.891824\pi$
$239$	−0.248272	+	0.654640i	−0.0160594	+	0.0423451i	0.926747	+	0.375687i	$0.122593\pi$
$240$	0.485322	+	0.254717i	0.0313274	+	0.0164419i
$241$	−10.3513	−	9.17048i	−0.666788	−	0.590723i	0.260317	−	0.965523i	$-0.416173\pi$
$241$	−10.3513	−	9.17048i	−0.666788	−	0.590723i	−0.927106	+	0.374800i	$0.877711\pi$
$242$	−0.995545	+	8.19905i	−0.0639961	+	0.527055i
$243$	−5.04646	+	4.47078i	−0.323731	+	0.286800i
$244$	6.42523	+	3.37222i	0.411333	+	0.215884i
$245$	−1.04179	+	0.546775i	−0.0665577	+	0.0349322i
$246$	−5.43631	−	7.87585i	−0.346606	−	0.502146i
$247$	20.3898	+	10.7014i	1.29737	+	0.680913i
$248$	0.494619	+	4.07356i	0.0314084	+	0.258671i
$249$	13.8360	+	36.4825i	0.876819	+	2.31198i
$250$	1.33757	+	1.18499i	0.0845956	+	0.0749451i
$251$	−4.88560	+	4.32827i	−0.308376	+	0.273198i	−0.803089	−	0.595859i	$-0.796812\pi$
$251$	−4.88560	+	4.32827i	−0.308376	+	0.273198i	0.494713	+	0.869057i	$0.335273\pi$
$252$	−2.38383	+	3.45357i	−0.150167	+	0.217555i
$253$	0.396489	+	3.26538i	0.0249270	+	0.205293i
$254$	2.89676	+	2.56631i	0.181759	+	0.161025i
$255$	0.929102	−	0.229003i	0.0581826	−	0.0143407i
$256$	−0.970942	+	0.239316i	−0.0606839	+	0.0149572i
$257$	17.8643	−	15.8264i	1.11434	−	0.987223i	0.114363	−	0.993439i	$-0.463517\pi$
$257$	17.8643	−	15.8264i	1.11434	−	0.987223i	0.999981	+	0.00621627i	$0.00197871\pi$
$258$	15.2720	+	22.1254i	0.950795	+	1.37746i
$259$	5.30589	+	1.30778i	0.329692	+	0.0812617i
$260$	1.04995			0.0651150
$261$	52.8171			3.26930
$262$	0.644062	+	0.158747i	0.0397903	+	0.00980742i
$263$	−19.5255	+	10.2478i	−1.20399	+	0.631905i	−0.942793	−	0.333380i	$-0.891811\pi$
$263$	−19.5255	+	10.2478i	−1.20399	+	0.631905i	−0.261201	+	0.965284i	$0.584119\pi$
$264$	−0.610096	−	5.02459i	−0.0375488	−	0.309242i
$265$	−0.616483	−	1.62553i	−0.0378702	−	0.0998556i
$266$	−1.47664	+	2.13928i	−0.0905385	+	0.131168i
$267$	−28.8601	−	41.8111i	−1.76621	−	2.55880i
$268$	5.34386	−	14.0906i	0.326428	−	0.860720i
$269$	−11.5353	−	2.84321i	−0.703323	−	0.173353i	−0.128594	−	0.991697i	$-0.541046\pi$
$269$	−11.5353	−	2.84321i	−0.703323	−	0.173353i	−0.574729	+	0.818344i	$0.694892\pi$
$270$	−0.650605	+	1.71550i	−0.0395946	+	0.104402i
$271$	6.94552	−	3.64529i	0.421910	−	0.221436i	−0.240386	−	0.970677i	$-0.577274\pi$
$271$	6.94552	−	3.64529i	0.421910	−	0.221436i	0.662297	+	0.749242i	$0.269582\pi$
$272$	−0.991755	+	1.43681i	−0.0601340	+	0.0871191i
$273$	−1.42691	+	11.7516i	−0.0863604	+	0.711242i
$274$	−9.07015	+	2.23559i	−0.547948	+	0.135057i
$275$	0.991338	−	8.16440i	0.0597799	−	0.492332i
$276$	2.15412	+	5.67993i	0.129662	+	0.341892i
$277$	2.53987	+	6.69710i	0.152606	+	0.402390i	0.989416	−	0.145103i	$-0.0463515\pi$
$277$	2.53987	+	6.69710i	0.152606	+	0.402390i	−0.836810	+	0.547493i	$0.815582\pi$
$278$	0.768766	−	6.33136i	0.0461075	−	0.379730i
$279$	−25.2896	+	6.23333i	−1.51405	+	0.373179i
$280$	−0.0142862	+	0.117658i	−0.000853765	+	0.00703139i
$281$	2.94640	−	4.26860i	0.175768	−	0.254643i	−0.725192	−	0.688547i	$-0.758249\pi$
$281$	2.94640	−	4.26860i	0.175768	−	0.254643i	0.900959	+	0.433904i	$0.142864\pi$
$282$	−33.5949	+	17.6320i	−2.00055	+	1.04997i
$283$	−0.420658	+	1.10918i	−0.0250055	+	0.0659341i	−0.946938	−	0.321417i	$-0.895841\pi$
$283$	−0.420658	+	1.10918i	−0.0250055	+	0.0659341i	0.921932	+	0.387351i	$0.126610\pi$
$284$	12.3860	+	3.05287i	0.734973	+	0.181155i
$285$	−0.764194	+	2.01501i	−0.0452669	+	0.119359i
$286$	−5.50784	−	7.97948i	−0.325685	−	0.471837i
$287$	1.17554	−	1.70307i	0.0693902	−	0.100529i
$288$	−2.25082	−	5.93493i	−0.132631	−	0.349719i
$289$	−1.68173	−	13.8503i	−0.0989252	−	0.814723i
$290$	1.32088	−	0.693250i	0.0775646	−	0.0407090i
$291$	−29.2225	−	7.20269i	−1.71305	−	0.422229i
$292$	3.55643			0.208124
$293$	0.265326			0.0155005			0.00775025	−	0.999970i	$-0.497533\pi$
$293$	0.265326			0.0155005			0.00775025	+	0.999970i	$0.497533\pi$
$294$	19.4821	+	4.80191i	1.13622	+	0.280053i
$295$	0.0805881	+	0.116752i	0.00469202	+	0.00679756i
$296$	−6.18703	+	5.48123i	−0.359614	+	0.318590i
$297$	16.4506	−	4.05471i	0.954560	−	0.235278i
$298$	4.91367	−	1.21111i	0.284641	−	0.0701577i
$299$	8.71017	+	7.71654i	0.503722	+	0.446259i
$300$	−1.83077	−	15.0778i	−0.105700	−	0.870515i
$301$	−3.30242	+	4.78438i	−0.190348	+	0.275767i
$302$	2.53047	−	2.24180i	0.145612	−	0.129001i
$303$	0.256877	+	0.227573i	0.0147572	+	0.0130737i
$304$	−1.39425	−	3.67633i	−0.0799656	−	0.210852i
$305$	0.156804	+	1.29140i	0.00897860	+	0.0739454i
$306$	−9.81229	−	5.14989i	−0.560931	−	0.294400i
$307$	−15.3216	−	22.1972i	−0.874451	−	1.26686i	−0.962648	−	0.270757i	$-0.912726\pi$
$307$	−15.3216	−	22.1972i	−0.874451	−	1.26686i	0.0881970	−	0.996103i	$-0.471890\pi$
$308$	0.969127	−	0.508637i	0.0552211	−	0.0289823i
$309$	−7.40390	−	3.88587i	−0.421193	−	0.221059i
$310$	−0.550640	+	0.487824i	−0.0312742	+	0.0277066i
$311$	−2.82204	+	23.2416i	−0.160023	+	1.31791i	0.662450	+	0.749107i	$0.269517\pi$
$311$	−2.82204	+	23.2416i	−0.160023	+	1.31791i	−0.822473	+	0.568804i	$0.807406\pi$
$312$	−13.4028	−	11.8738i	−0.758781	−	0.672222i
$313$	12.0454	+	6.32194i	0.680849	+	0.357337i	0.769429	−	0.638732i	$-0.220541\pi$
$313$	12.0454	+	6.32194i	0.680849	+	0.357337i	−0.0885806	+	0.996069i	$0.528233\pi$
$314$	0.862771	−	2.27494i	0.0486890	−	0.128382i
$315$	−0.752307			−0.0423877
$316$	6.50218	−	6.05984i	0.365776	−	0.340893i
$317$	−5.21099			−0.292678			−0.146339	−	0.989234i	$-0.546749\pi$
$317$	−5.21099			−0.292678			−0.146339	+	0.989234i	$0.546749\pi$
$318$	−10.5135	+	27.7219i	−0.589570	+	1.55457i
$319$	−12.1977	−	6.40185i	−0.682940	−	0.358435i
$320$	−0.134189	−	0.118881i	−0.00750137	−	0.00664563i
$321$	−1.08116	+	8.90412i	−0.0603442	+	0.496979i
$322$	−0.983235	+	0.871070i	−0.0547935	+	0.0485428i
$323$	−6.07812	−	3.19004i	−0.338196	−	0.177499i
$324$	10.8445	−	5.69166i	0.602475	−	0.316203i
$325$	−16.5279	−	23.9448i	−0.916803	−	1.32822i
$326$	16.7621	+	8.79744i	0.928369	+	0.487245i
$327$	0.820282	+	6.75563i	0.0453617	+	0.373587i
$328$	1.10995	+	2.92671i	0.0612870	+	0.161600i
$329$	−6.14101	−	5.44046i	−0.338565	−	0.299942i
$330$	0.679195	−	0.601714i	0.0373884	−	0.0331233i
$331$	13.7313	−	19.8932i	0.754741	−	1.09343i	−0.237775	−	0.971320i	$-0.576418\pi$
$331$	13.7313	−	19.8932i	0.754741	−	1.09343i	0.992516	−	0.122111i	$-0.0389664\pi$
$332$	−1.53829	−	12.6690i	−0.0844247	−	0.695300i
$333$	−39.2716	−	34.7916i	−2.15207	−	1.90657i
$334$	−12.5865	+	3.10229i	−0.688701	+	0.169749i
$335$	2.62314	−	0.646545i	0.143317	−	0.0353245i
$336$	1.51295	−	1.34036i	0.0825382	−	0.0731224i
$337$	−4.00280	−	5.79905i	−0.218046	−	0.315895i	0.698662	−	0.715452i	$-0.253779\pi$
$337$	−4.00280	−	5.79905i	−0.218046	−	0.315895i	−0.916708	+	0.399557i	$0.869164\pi$
$338$	−20.6815	−	5.09754i	−1.12493	−	0.277270i
$339$	−18.8392			−1.02320
$340$	−0.312986			−0.0169740
$341$	6.59596	+	1.62576i	0.357191	+	0.0880398i
$342$	22.0983	−	11.5981i	1.19494	−	0.627153i
$343$	1.08082	+	8.90135i	0.0583588	+	0.480628i
$344$	−3.11816	−	8.22190i	−0.168120	−	0.443295i
$345$	−0.618642	+	0.896258i	−0.0333066	+	0.0482529i
$346$	6.89678	+	9.99171i	0.370773	+	0.537158i
$347$	−5.94734	+	15.6818i	−0.319270	+	0.841846i	0.675278	+	0.737563i	$0.264024\pi$
$347$	−5.94734	+	15.6818i	−0.319270	+	0.841846i	−0.994548	+	0.104282i	$0.966746\pi$
$348$	−24.7011	−	6.08828i	−1.32412	−	0.326366i
$349$	−2.97494	+	7.84427i	−0.159245	+	0.419894i	−0.990763	−	0.135603i	$-0.956703\pi$
$349$	−2.97494	+	7.84427i	−0.159245	+	0.419894i	0.831518	+	0.555497i	$0.187472\pi$
$350$	2.90815	−	1.52632i	0.155447	−	0.0815850i
$351$	34.0489	−	49.3284i	1.81740	−	2.63295i
$352$	−0.199550	+	1.64344i	−0.0106361	+	0.0875959i
$353$	22.9692	−	5.66139i	1.22252	−	0.301325i	0.425325	−	0.905041i	$-0.360160\pi$
$353$	22.9692	−	5.66139i	1.22252	−	0.301325i	0.797200	+	0.603715i	$0.206314\pi$
$354$	0.291622	−	2.40172i	0.0154995	−	0.127650i
$355$	0.810961	+	2.13833i	0.0430413	+	0.113491i
$356$	5.89250	+	15.5372i	0.312302	+	0.823472i
$357$	0.425356	−	3.50312i	0.0225122	−	0.185405i
$358$	−18.3417	+	4.52082i	−0.969389	+	0.238933i
$359$	1.39802	−	11.5137i	0.0737846	−	0.607671i	−0.908176	−	0.418588i	$-0.862525\pi$
$359$	1.39802	−	11.5137i	0.0737846	−	0.607671i	0.981961	−	0.189083i	$-0.0605517\pi$
$360$	0.646416	−	0.936495i	0.0340691	−	0.0493576i
$361$	−3.13510	+	1.64543i	−0.165005	+	0.0866015i
$362$	−4.84453	+	12.7740i	−0.254623	+	0.671385i
$363$	24.5177	+	6.04308i	1.28685	+	0.317180i
$364$	1.37302	−	3.62035i	0.0719656	−	0.189758i
$365$	0.362184	+	0.524715i	0.0189576	+	0.0274648i
$366$	12.6027	−	18.2582i	0.658756	−	0.954373i
$367$	7.13859	+	18.8229i	0.372631	+	0.982548i	0.981869	+	0.189560i	$0.0607063\pi$
$367$	7.13859	+	18.8229i	0.372631	+	0.982548i	−0.609238	+	0.792988i	$0.708525\pi$
$368$	−0.239496	−	1.97242i	−0.0124846	−	0.102820i
$369$	−17.5924	+	9.23318i	−0.915822	+	0.480660i
$370$	−1.43878	−	0.354628i	−0.0747987	−	0.0184362i
$371$	−6.41120			−0.332853
$372$	12.5458			0.650468
$373$	24.9377	+	6.14659i	1.29122	+	0.318258i	0.824358	−	0.566069i	$-0.191537\pi$
$373$	24.9377	+	6.14659i	1.29122	+	0.318258i	0.466867	+	0.884328i	$0.345383\pi$
$374$	1.64187	+	2.37865i	0.0848989	+	0.122997i
$375$	4.08943	−	3.62292i	0.211178	−	0.187087i
$376$	12.0491	−	2.96983i	0.621385	−	0.153158i
$377$	−47.3174	+	11.6627i	−2.43697	+	0.600660i
$378$	5.06447	+	4.48673i	0.260488	+	0.230772i
$379$	−1.30378	−	10.7376i	−0.0669708	−	0.551554i	−0.987119	−	0.159985i	$-0.948855\pi$
$379$	−1.30378	−	10.7376i	−0.0669708	−	0.551554i	0.920149	−	0.391569i	$-0.128068\pi$
$380$	0.400415	−	0.580102i	0.0205409	−	0.0297586i
$381$	8.85643	−	7.84611i	0.453729	−	0.401969i
$382$	−1.96608	−	1.74179i	−0.100593	−	0.0891180i
$383$	5.07146	+	13.3723i	0.259139	+	0.683294i	0.999933	+	0.0115617i	$0.00368029\pi$
$383$	5.07146	+	13.3723i	0.259139	+	0.683294i	−0.740794	+	0.671732i	$0.765550\pi$
$384$	0.368523	+	3.03506i	0.0188061	+	0.154882i
$385$	0.173739	+	0.0911855i	0.00885458	+	0.00464724i
$386$	14.4566	+	20.9441i	0.735824	+	1.06602i
$387$	49.4216	−	25.9385i	2.51224	−	1.31853i
$388$	8.71655	+	4.57480i	0.442516	+	0.232250i
$389$	18.1317	−	16.0633i	0.919316	−	0.814443i	−0.0636992	−	0.997969i	$-0.520290\pi$
$389$	18.1317	−	16.0633i	0.919316	−	0.814443i	0.983015	+	0.183527i	$0.0587513\pi$
$390$	0.386930	−	3.18666i	0.0195930	−	0.161363i
$391$	−2.59647	−	2.30027i	−0.131309	−	0.116330i
$392$	−5.81118	−	3.04994i	−0.293509	−	0.154045i
$393$	0.719159	−	1.89627i	0.0362768	−	0.0956540i
$394$	19.1909			0.966823
$395$	1.55624	+	0.342200i	0.0783031	+	0.0172179i
$396$	−10.5082			−0.528059
$397$	0.375836	−	0.990999i	0.0188627	−	0.0497368i	−0.925254	−	0.379348i	$-0.876148\pi$
$397$	0.375836	−	0.990999i	0.0188627	−	0.0497368i	0.944117	+	0.329611i	$0.106918\pi$
$398$	7.02870	+	3.68895i	0.352317	+	0.184910i
$399$	5.94867	+	5.27006i	0.297806	+	0.263833i
$400$	−0.598809	+	4.93164i	−0.0299405	+	0.246582i
$401$	−3.68621	+	3.26570i	−0.184080	+	0.163081i	−0.750131	−	0.661290i	$-0.770009\pi$
$401$	−3.68621	+	3.26570i	−0.184080	+	0.163081i	0.566050	+	0.824371i	$0.308471\pi$
$402$	−40.7965	−	21.4116i	−2.03474	−	1.06792i
$403$	21.2799	−	11.1685i	1.06003	−	0.556345i
$404$	−0.0637645	−	0.0923788i	−0.00317240	−	0.00459602i
$405$	1.94415	+	1.02037i	0.0966054	+	0.0507024i
$406$	−0.663098	−	5.46110i	−0.0329090	−	0.271030i
$407$	4.85246	+	12.7949i	0.240527	+	0.634219i
$408$	3.99531	+	3.53954i	0.197797	+	0.175233i
$409$	−25.7326	+	22.7971i	−1.27239	+	1.12724i	−0.286823	+	0.957984i	$0.592599\pi$
$409$	−25.7326	+	22.7971i	−1.27239	+	1.12724i	−0.985572	+	0.169260i	$0.945862\pi$
$410$	−0.318769	+	0.461816i	−0.0157429	+	0.0228075i
$411$	3.44260	+	28.3523i	0.169811	+	1.39852i
$412$	2.04713	+	1.81360i	0.100855	+	0.0893497i
$413$	0.507960	−	0.125201i	0.0249951	−	0.00616073i
$414$	12.2453	−	3.01819i	0.601822	−	0.148336i
$415$	1.71252	−	1.51716i	0.0840641	−	0.0744743i
$416$	3.32696	+	4.81994i	0.163118	+	0.236317i
$417$	−18.9328	−	4.66651i	−0.927142	−	0.228520i
$418$	−6.50921			−0.318376
$419$	−33.9010			−1.65617			−0.828087	−	0.560600i	$-0.810571\pi$
$419$	−33.9010			−1.65617			−0.828087	+	0.560600i	$0.810571\pi$
$420$	0.351833	+	0.0867192i	0.0171677	+	0.00423146i
$421$	−34.4697	+	18.0911i	−1.67995	+	0.881707i	−0.692953	+	0.720983i	$0.743691\pi$
$421$	−34.4697	+	18.0911i	−1.67995	+	0.881707i	−0.986999	+	0.160724i	$0.948617\pi$
$422$	−0.896575	−	7.38396i	−0.0436446	−	0.359446i
$423$	27.9320	+	73.6507i	1.35810	+	3.58102i
$424$	5.50879	−	7.98086i	0.267531	−	0.387585i
$425$	4.92690	+	7.13785i	0.238990	+	0.346237i
$426$	13.8302	−	36.4672i	0.670075	−	1.76684i
$427$	4.65796	+	1.14808i	0.225414	+	0.0555596i
$428$	1.04032	−	2.74310i	0.0502859	−	0.132593i
$429$	−26.2480	+	13.7760i	−1.26726	+	0.665112i
$430$	0.895506	−	1.29736i	0.0431851	−	0.0625645i
$431$	1.20885	−	9.95580i	0.0582284	−	0.479554i	−0.934202	−	0.356745i	$-0.883887\pi$
$431$	1.20885	−	9.95580i	0.0582284	−	0.479554i	0.992430	−	0.122809i	$-0.0391903\pi$
$432$	−9.93684	+	2.44921i	−0.478086	+	0.117838i
$433$	−2.23088	+	18.3729i	−0.107209	+	0.882946i	0.835537	+	0.549434i	$0.185157\pi$
$433$	−2.23088	+	18.3729i	−0.107209	+	0.882946i	−0.942746	+	0.333512i	$0.891766\pi$
$434$	0.962005	+	2.53660i	0.0461777	+	0.121761i
$435$	−1.61728	−	4.26442i	−0.0775428	−	0.204463i
$436$	0.268298	−	2.20963i	0.0128491	−	0.105822i
$437$	7.58520	−	1.86958i	0.362849	−	0.0894343i
$438$	1.31063	−	10.7940i	0.0626242	−	0.515757i
$439$	−17.7586	+	25.7278i	−0.847572	+	1.22792i	0.124261	+	0.992250i	$0.460344\pi$
$439$	−17.7586	+	25.7278i	−0.847572	+	1.22792i	−0.971833	+	0.235671i	$0.924271\pi$
$440$	−0.262795	+	0.137926i	−0.0125283	+	0.00657535i
$441$	14.7720	−	38.9505i	0.703427	−	1.85479i
$442$	9.92773	+	2.44697i	0.472214	+	0.116390i
$443$	14.4118	−	38.0007i	0.684724	−	1.80547i	0.0987952	−	0.995108i	$-0.468501\pi$
$443$	14.4118	−	38.0007i	0.684724	−	1.80547i	0.585929	−	0.810362i	$-0.300730\pi$
$444$	14.3558	+	20.7980i	0.681296	+	0.987028i
$445$	−1.69227	+	2.45168i	−0.0802214	+	0.116221i
$446$	2.53480	+	6.68371i	0.120026	+	0.316483i
$447$	−1.86499	−	15.3596i	−0.0882112	−	0.726485i
$448$	−0.585393	+	0.307238i	−0.0276572	+	0.0145156i
$449$	8.94480	+	2.20470i	0.422131	+	0.104046i	0.444658	−	0.895700i	$-0.353325\pi$
$449$	8.94480	+	2.20470i	0.422131	+	0.104046i	−0.0225272	+	0.999746i	$0.507171\pi$
$450$	−31.5331			−1.48648
$451$	5.18195			0.244009
$452$	5.98287	+	1.47464i	0.281410	+	0.0693614i
$453$	−5.87146	−	8.50628i	−0.275865	−	0.399660i
$454$	−8.57927	+	7.60057i	−0.402645	+	0.356713i
$455$	0.673972	−	0.166119i	0.0315963	−	0.00778778i
$456$	−11.6717	+	2.87682i	−0.546578	+	0.134719i
$457$	−29.2674	−	25.9287i	−1.36907	−	1.21289i	−0.952780	−	0.303661i	$-0.901791\pi$
$457$	−29.2674	−	25.9287i	−1.36907	−	1.21289i	−0.416292	−	0.909231i	$-0.636671\pi$
$458$	2.04921	+	16.8768i	0.0957535	+	0.788601i
$459$	−10.1499	+	14.7046i	−0.473754	+	0.686352i
$460$	0.266621	−	0.236205i	0.0124313	−	0.0110131i
$461$	12.1735	+	10.7848i	0.566978	+	0.502299i	0.897212	−	0.441600i	$-0.145589\pi$
$461$	12.1735	+	10.7848i	0.566978	+	0.502299i	−0.330233	+	0.943899i	$0.607127\pi$
$462$	−1.18660	−	3.12881i	−0.0552056	−	0.145565i
$463$	−0.396386	−	3.26453i	−0.0184216	−	0.151716i	0.980595	−	0.196042i	$-0.0628089\pi$
$463$	−0.396386	−	3.26453i	−0.0184216	−	0.151716i	−0.999017	+	0.0443264i	$0.985886\pi$
$464$	7.36792	+	3.86698i	0.342047	+	0.179520i
$465$	1.27765	+	1.85100i	0.0592498	+	0.0858381i
$466$	−6.68870	+	3.51050i	−0.309848	+	0.162621i
$467$	−2.09009	−	1.09696i	−0.0967177	−	0.0507614i	0.415671	−	0.909515i	$-0.363547\pi$
$467$	−2.09009	−	1.09696i	−0.0967177	−	0.0507614i	−0.512388	+	0.858754i	$0.671239\pi$
$468$	−27.8256	+	24.6514i	−1.28624	+	1.13951i
$469$	1.20091	−	9.89037i	0.0554528	−	0.456695i
$470$	1.66524	+	1.47527i	0.0768118	+	0.0680493i
$471$	−6.58664	−	3.45693i	−0.303496	−	0.159287i
$472$	−0.280608	+	0.739903i	−0.0129160	+	0.0340568i
$473$	−14.5575			−0.669354
$474$	−15.9958	−	21.9677i	−0.734711	−	1.00901i
$475$	−19.5328			−0.896227
$476$	−0.409291	+	1.07921i	−0.0187598	+	0.0494656i
$477$	54.5032	+	28.6055i	2.49553	+	1.30976i
$478$	−0.524061	−	0.464277i	−0.0239700	−	0.0212355i
$479$	2.88980	−	23.7996i	0.132038	−	1.08743i	−0.764549	−	0.644566i	$-0.777038\pi$
$479$	2.88980	−	23.7996i	0.132038	−	1.08743i	0.896587	−	0.442868i	$-0.146039\pi$
$480$	−0.410262	+	0.363460i	−0.0187258	+	0.0165896i
$481$	42.8648	+	22.4972i	1.95447	+	1.02578i
$482$	12.2452	−	6.42677i	0.557753	−	0.292731i
$483$	2.28141	+	3.30519i	0.103808	+	0.150391i
$484$	−7.31322	−	3.83827i	−0.332419	−	0.174467i
$485$	0.212723	+	1.75193i	0.00965926	+	0.0795512i
$486$	−2.39075	−	6.30388i	−0.108447	−	0.285950i
$487$	19.9872	+	17.7071i	0.905705	+	0.802385i	0.980845	−	0.194788i	$-0.0624019\pi$
$487$	19.9872	+	17.7071i	0.905705	+	0.802385i	−0.0751400	+	0.997173i	$0.523940\pi$
$488$	−5.43150	+	4.81189i	−0.245872	+	0.217824i
$489$	32.8780	−	47.6320i	1.48680	−	2.15400i
$490$	−0.141819	−	1.16798i	−0.00640672	−	0.0527641i
$491$	4.34947	+	3.85329i	0.196289	+	0.173897i	0.755542	−	0.655100i	$-0.227374\pi$
$491$	4.34947	+	3.85329i	0.196289	+	0.173897i	−0.559253	+	0.828997i	$0.688912\pi$
$492$	9.29179	−	2.29022i	0.418906	−	0.103251i
$493$	14.1052	−	3.47661i	0.635264	−	0.156579i
$494$	−17.2363	+	15.2700i	−0.775497	+	0.687031i
$495$	−1.07015	−	1.55038i	−0.0480997	−	0.0696845i
$496$	−3.98424	−	0.982026i	−0.178898	−	0.0440943i
$497$	8.43370			0.378303
$498$	−39.0180			−1.74844
$499$	12.9916	+	3.20214i	0.581583	+	0.143347i	0.519122	−	0.854700i	$-0.326259\pi$
$499$	12.9916	+	3.20214i	0.581583	+	0.143347i	0.0624609	+	0.998047i	$0.480105\pi$
$500$	−1.58229	+	0.830451i	−0.0707622	+	0.0371389i
$501$	4.77722	+	39.3440i	0.213431	+	1.75776i
$502$	−2.31454	−	6.10294i	−0.103303	−	0.272388i
$503$	−4.46837	+	6.47355i	−0.199235	+	0.288641i	−0.909848	−	0.414941i	$-0.863802\pi$
$503$	−4.46837	+	6.47355i	−0.199235	+	0.288641i	0.710613	+	0.703583i	$0.248418\pi$
$504$	−2.38383	−	3.45357i	−0.106184	−	0.153834i
$505$	0.00713581	−	0.0188156i	0.000317539	−	0.000837283i
$506$	−3.19378	−	0.787196i	−0.141981	−	0.0349951i
$507$	−23.0930	+	60.8912i	−1.02560	+	2.70427i
$508$	−3.42675	+	1.79850i	−0.152037	+	0.0797953i
$509$	−9.74420	+	14.1169i	−0.431904	+	0.625721i	−0.977149	−	0.212556i	$-0.931821\pi$
$509$	−9.74420	+	14.1169i	−0.431904	+	0.625721i	0.545245	+	0.838277i	$0.316437\pi$
$510$	−0.115342	+	0.949931i	−0.00510745	+	0.0420636i
$511$	2.28291	−	0.562686i	0.100990	−	0.0248918i
$512$	0.120537	−	0.992709i	0.00532702	−	0.0438719i
$513$	−14.2691	−	37.6244i	−0.629994	−	1.66116i
$514$	8.46316	+	22.3155i	0.373294	+	0.984295i
$515$	−0.0590996	+	0.486729i	−0.00260424	+	0.0214479i
$516$	−26.1031	+	6.43384i	−1.14913	+	0.283234i
$517$	2.47636	−	20.3946i	0.108910	−	0.896955i
$518$	−3.10429	+	4.49734i	−0.136395	+	0.197602i
$519$	32.8671	−	17.2500i	1.44271	−	0.757190i
$520$	−0.372317	+	0.981718i	−0.0163272	+	0.0430512i
$521$	−21.6965	−	5.34771i	−0.950541	−	0.234287i	−0.266586	−	0.963811i	$-0.585896\pi$
$521$	−21.6965	−	5.34771i	−0.950541	−	0.234287i	−0.683955	+	0.729524i	$0.739742\pi$
$522$	−18.7292	+	49.3849i	−0.819755	+	2.16152i
$523$	−10.3639	−	15.0148i	−0.453184	−	0.656550i	0.528085	−	0.849191i	$-0.322910\pi$
$523$	−10.3639	−	15.0148i	−0.453184	−	0.656550i	−0.981269	+	0.192641i	$0.938295\pi$
$524$	−0.376818	+	0.545916i	−0.0164614	+	0.0238484i
$525$	−3.56074	−	9.38891i	−0.155404	−	0.409765i
$526$	−2.65800	−	21.8906i	−0.115894	−	0.954474i
$527$	−6.34345	+	3.32930i	−0.276325	+	0.145027i
$528$	4.91442	+	1.21130i	0.213873	+	0.0527149i
$529$	−19.0522			−0.828356
$530$	1.73851			0.0755159
$531$	−4.87692	−	1.20205i	−0.211640	−	0.0521646i
$532$	−1.47664	−	2.13928i	−0.0640204	−	0.0927495i
$533$	13.7217	−	12.1564i	0.594354	−	0.526552i
$534$	49.3280	−	12.1583i	2.13463	−	0.526139i
$535$	0.510663	−	0.125867i	0.0220779	−	0.00544171i
$536$	11.2800	+	9.99318i	0.487221	+	0.431640i
$537$	6.96163	+	57.3342i	0.300417	+	2.47415i
$538$	6.74894	−	9.77752i	0.290967	−	0.421539i
$539$	−8.13258	+	7.20484i	−0.350295	+	0.310334i
$540$	−1.37332	−	1.21665i	−0.0590981	−	0.0523564i
$541$	−0.713606	−	1.88163i	−0.0306803	−	0.0808974i	0.918801	−	0.394722i	$-0.129159\pi$
$541$	−0.713606	−	1.88163i	−0.0306803	−	0.0808974i	−0.949481	+	0.313824i	$0.898390\pi$
$542$	0.945490	+	7.78681i	0.0406123	+	0.334472i
$543$	36.9845	+	19.4110i	1.58716	+	0.833004i
$544$	−0.991755	−	1.43681i	−0.0425212	−	0.0616025i
$545$	0.353332	−	0.185443i	0.0151351	−	0.00794350i
$546$	−10.4820	−	5.50137i	−0.448588	−	0.235437i
$547$	31.5502	−	27.9510i	1.34899	−	1.19510i	0.386979	−	0.922089i	$-0.373519\pi$
$547$	31.5502	−	27.9510i	1.34899	−	1.19510i	0.962011	−	0.273012i	$-0.0880198\pi$
$548$	1.12601	−	9.27349i	0.0481006	−	0.396144i
$549$	−34.4760	−	30.5430i	−1.47140	−	1.30355i
$550$	7.28232	+	3.82205i	0.310519	+	0.162973i
$551$	−11.6016	+	30.5909i	−0.494245	+	1.30322i
$552$	−6.07469			−0.258556
$553$	3.21505	−	4.91862i	0.136718	−	0.209161i
$554$	−7.16255			−0.304307
$555$	−1.60654	+	4.23610i	−0.0681939	+	0.179813i
$556$	5.64732	+	2.96394i	0.239500	+	0.125699i
$557$	28.5040	+	25.2524i	1.20775	+	1.06998i	0.995692	+	0.0927215i	$0.0295566\pi$
$557$	28.5040	+	25.2524i	1.20775	+	1.06998i	0.212063	+	0.977256i	$0.431982\pi$
$558$	3.13955	−	25.8566i	0.132908	−	1.09460i
$559$	−38.5480	+	34.1505i	−1.63041	+	1.44441i
$560$	−0.104946	−	0.0550798i	−0.00443477	−	0.00232755i
$561$	7.82443	−	4.10658i	0.330348	−	0.173380i
$562$	2.94640	+	4.26860i	0.124287	+	0.180060i
$563$	−14.0747	−	7.38698i	−0.593179	−	0.311324i	0.141288	−	0.989968i	$-0.454876\pi$
$563$	−14.0747	−	7.38698i	−0.593179	−	0.311324i	−0.734467	+	0.678644i	$0.762568\pi$
$564$	−4.57326	−	37.6642i	−0.192569	−	1.58595i
$565$	0.391722	+	1.03289i	0.0164799	+	0.0434539i
$566$	−0.887938	−	0.786644i	−0.0373228	−	0.0330651i
$567$	6.06071	−	5.36932i	0.254526	−	0.225490i
$568$	−7.24662	+	10.4985i	−0.304061	+	0.440509i
$569$	2.40178	+	19.7805i	0.100688	+	0.829240i	0.952320	+	0.305100i	$0.0986901\pi$
$569$	2.40178	+	19.7805i	0.100688	+	0.829240i	−0.851632	+	0.524140i	$0.824387\pi$
$570$	−1.61308	−	1.42907i	−0.0675646	−	0.0598570i
$571$	13.5727	−	3.34536i	0.567998	−	0.139999i	0.0551497	−	0.998478i	$-0.482436\pi$
$571$	13.5727	−	3.34536i	0.567998	−	0.139999i	0.512849	+	0.858479i	$0.328590\pi$
$572$	9.41405	−	2.32036i	0.393621	−	0.0970189i
$573$	−6.01100	+	5.32528i	−0.251113	+	0.222467i
$574$	1.17554	+	1.70307i	0.0490663	+	0.0710848i
$575$	−9.58387	−	2.36221i	−0.399675	−	0.0985111i
$576$	6.34741			0.264476
$577$	32.9688			1.37251			0.686255	−	0.727361i	$-0.259254\pi$
$577$	32.9688			1.37251			0.686255	+	0.727361i	$0.259254\pi$
$578$	13.5466	+	3.33893i	0.563464	+	0.138881i
$579$	68.8941	−	36.1584i	2.86314	−	1.50269i
$580$	0.179810	+	1.48087i	0.00746622	+	0.0614898i
$581$	−2.99188	−	7.88895i	−0.124124	−	0.327289i
$582$	17.0971	−	24.7694i	0.708696	−	1.02672i
$583$	−9.11989	−	13.2124i	−0.377707	−	0.547203i
$584$	−1.26113	+	3.32532i	−0.0521858	+	0.137603i
$585$	−6.47080	−	1.59491i	−0.267535	−	0.0659413i
$586$	−0.0940858	+	0.248084i	−0.00388665	+	0.0102483i
$587$	16.0918	−	8.44561i	0.664178	−	0.348588i	−0.0987118	−	0.995116i	$-0.531472\pi$
$587$	16.0918	−	8.44561i	0.664178	−	0.348588i	0.762890	+	0.646529i	$0.223780\pi$
$588$	−11.3983	+	16.5133i	−0.470059	+	0.680997i
$589$	1.94476	−	16.0166i	0.0801325	−	0.659951i
$590$	−0.137742	+	0.0339503i	−0.00567075	+	0.00139771i
$591$	7.07229	−	58.2456i	0.290915	−	2.39590i
$592$	−2.93109	−	7.72864i	−0.120467	−	0.317645i
$593$	−10.1139	−	26.6682i	−0.415328	−	1.09513i	−0.965574	−	0.260128i	$-0.916235\pi$
$593$	−10.1139	−	26.6682i	−0.415328	−	1.09513i	0.550246	−	0.835003i	$-0.314534\pi$
$594$	−2.04224	+	16.8194i	−0.0837942	+	0.690108i
$595$	−0.200908	+	0.0495195i	−0.00823644	+	0.00203010i
$596$	−0.610003	+	5.02382i	−0.0249867	+	0.205784i
$597$	13.7864	−	19.9731i	0.564241	−	0.817444i
$598$	−10.3038	+	5.40783i	−0.421352	+	0.221143i
$599$	13.3276	−	35.1420i	0.544551	−	1.43586i	−0.326749	−	0.945111i	$-0.605953\pi$
$599$	13.3276	−	35.1420i	0.544551	−	1.43586i	0.871300	−	0.490751i	$-0.163277\pi$
$600$	14.7472	+	3.63485i	0.602050	+	0.148392i
$601$	1.35972	−	3.58529i	0.0554642	−	0.146247i	−0.904420	−	0.426642i	$-0.859696\pi$
$601$	1.35972	−	3.58529i	0.0554642	−	0.146247i	0.959885	+	0.280395i	$0.0904655\pi$
$602$	−3.30242	−	4.78438i	−0.134596	−	0.194997i
$603$	−54.3381	+	78.7224i	−2.21282	+	3.20582i
$604$	1.19880	+	3.16098i	0.0487785	+	0.128618i
$605$	−0.178475	−	1.46988i	−0.00725606	−	0.0597590i
$606$	−0.303874	+	0.159485i	−0.0123440	+	0.00647865i
$607$	−31.5970	−	7.78797i	−1.28248	−	0.316104i	−0.461544	−	0.887117i	$-0.652704\pi$
$607$	−31.5970	−	7.78797i	−1.28248	−	0.316104i	−0.820941	+	0.571013i	$0.806550\pi$
$608$	3.93184			0.159457
$609$	−16.8192			−0.681547
$610$	−1.26308	−	0.311322i	−0.0511408	−	0.0126051i
$611$	−41.2866	−	59.8140i	−1.67028	−	2.41981i
$612$	8.29472	−	7.34848i	0.335294	−	0.297045i
$613$	−23.4159	+	5.77151i	−0.945761	+	0.233109i	−0.681895	−	0.731450i	$-0.738844\pi$
$613$	−23.4159	+	5.77151i	−0.945761	+	0.233109i	−0.263866	+	0.964559i	$0.584998\pi$
$614$	26.1879	−	6.45473i	1.05686	−	0.260492i
$615$	1.28417	+	1.13767i	0.0517826	+	0.0458754i
$616$	0.131927	+	1.08651i	0.00531548	+	0.0437769i
$617$	23.4811	−	34.0182i	0.945313	−	1.36952i	0.0161431	−	0.999870i	$-0.494861\pi$
$617$	23.4811	−	34.0182i	0.945313	−	1.36952i	0.929170	−	0.369653i	$-0.120523\pi$
$618$	6.25881	−	5.54482i	0.251766	−	0.223045i
$619$	15.0437	+	13.3276i	0.604658	+	0.535680i	0.908954	−	0.416897i	$-0.136883\pi$
$619$	15.0437	+	13.3276i	0.604658	+	0.535680i	−0.304295	+	0.952578i	$0.598421\pi$
$620$	−0.260864	−	0.687842i	−0.0104766	−	0.0276244i
$621$	−2.45105	−	20.1862i	−0.0983574	−	0.810046i
$622$	−20.7306	−	10.8802i	−0.831220	−	0.436258i
$623$	6.24070	+	9.04121i	0.250028	+	0.362228i
$624$	15.8549	−	8.32128i	0.634703	−	0.333118i
$625$	21.7104	+	11.3945i	0.868418	+	0.455781i
$626$	−10.1825	+	9.02089i	−0.406974	+	0.360547i
$627$	−2.39880	+	19.7559i	−0.0957987	+	0.788973i
$628$	1.82116	+	1.61341i	0.0726723	+	0.0643821i
$629$	−12.7778	−	6.70633i	−0.509486	−	0.267399i
$630$	0.266772	−	0.703419i	0.0106284	−	0.0280249i
$631$	−17.0882			−0.680270			−0.340135	−	0.940377i	$-0.610473\pi$
$631$	−17.0882			−0.680270			−0.340135	+	0.940377i	$0.610473\pi$
$632$	3.36034	+	8.22849i	0.133667	+	0.327312i
$633$	−22.7412			−0.903881
$634$	1.84784	−	4.87236i	0.0733871	−	0.193506i
$635$	−0.614327	−	0.322424i	−0.0243788	−	0.0127950i
$636$	−22.1923	−	19.6607i	−0.879982	−	0.779596i
$637$	−4.63305	+	38.1566i	−0.183568	+	1.51182i
$638$	10.3112	−	9.13492i	0.408224	−	0.361655i
$639$	−71.6971	−	37.6295i	−2.83629	−	1.48860i
$640$	0.158739	−	0.0833128i	0.00627472	−	0.00329323i
$641$	−22.6652	−	32.8363i	−0.895223	−	1.29695i	−0.954346	−	0.298703i	$-0.903446\pi$
$641$	−22.6652	−	32.8363i	−0.895223	−	1.29695i	0.0591234	−	0.998251i	$-0.481169\pi$
$642$	−7.94211	−	4.16834i	−0.313450	−	0.164511i
$643$	−3.01215	−	24.8072i	−0.118787	−	0.978302i	−0.923224	−	0.384263i	$-0.874456\pi$
$643$	−3.01215	−	24.8072i	−0.118787	−	0.978302i	0.804436	−	0.594039i	$-0.202468\pi$
$644$	−0.465805	−	1.22823i	−0.0183553	−	0.0483989i
$645$	−3.60757	−	3.19603i	−0.142048	−	0.125843i
$646$	5.13807	−	4.55193i	0.202155	−	0.179093i
$647$	−27.3644	+	39.6442i	−1.07581	+	1.55858i	−0.273304	+	0.961928i	$0.588117\pi$
$647$	−27.3644	+	39.6442i	−1.07581	+	1.55858i	−0.802503	+	0.596648i	$0.796499\pi$
$648$	1.47626	+	12.1581i	0.0579931	+	0.477616i
$649$	0.980588	+	0.868725i	0.0384914	+	0.0341004i
$650$	28.2496	−	6.96291i	1.10804	−	0.273108i
$651$	8.05326	−	1.98495i	0.315632	−	0.0777963i
$652$	−14.1697	+	12.5532i	−0.554928	+	0.491623i
$653$	−18.1230	−	26.2557i	−0.709207	−	1.02746i	−0.997551	−	0.0699367i	$-0.977720\pi$
$653$	−18.1230	−	26.2557i	−0.709207	−	1.02746i	0.288345	−	0.957527i	$-0.406895\pi$
$654$	−6.60750	−	1.62860i	−0.258374	−	0.0636834i
$655$	−0.118919			−0.00464656
$656$	−3.13012			−0.122210
$657$	−21.9182	−	5.40234i	−0.855109	−	0.210766i
$658$	7.26455	−	3.81273i	0.283202	−	0.148636i
$659$	3.59259	+	29.5877i	0.139948	+	1.15257i	0.878284	+	0.478139i	$0.158688\pi$
$659$	3.59259	+	29.5877i	0.139948	+	1.15257i	−0.738337	+	0.674432i	$0.764388\pi$
$660$	0.321767	+	0.848429i	0.0125248	+	0.0330251i
$661$	−17.9348	+	25.9830i	−0.697583	+	1.01062i	0.300795	+	0.953689i	$0.402748\pi$
$661$	−17.9348	+	25.9830i	−0.697583	+	1.01062i	−0.998378	+	0.0569341i	$0.981868\pi$
$662$	13.7313	+	19.8932i	0.533683	+	0.773173i
$663$	11.0853	−	29.2295i	0.430517	−	1.13518i
$664$	12.3912	+	3.05415i	0.480871	+	0.118524i
$665$	0.165249	−	0.435725i	0.00640807	−	0.0168967i
$666$	46.4566	−	24.3823i	1.80016	−	0.944796i
$667$	−9.39191	+	13.6065i	−0.363656	+	0.526847i
$668$	1.56254	−	12.8686i	0.0604563	−	0.497902i
$669$	21.2196	−	5.23017i	0.820398	−	0.202210i
$670$	−0.325647	+	2.68194i	−0.0125808	+	0.103612i
$671$	4.25990	+	11.2324i	0.164452	+	0.433623i
$672$	0.716756	+	1.88993i	0.0276494	+	0.0729056i
$673$	−3.97841	+	32.7651i	−0.153356	+	1.26300i	0.689270	+	0.724505i	$0.257931\pi$
$673$	−3.97841	+	32.7651i	−0.153356	+	1.26300i	−0.842626	+	0.538499i	$0.818992\pi$
$674$	6.84162	−	1.68631i	0.263529	−	0.0649542i
$675$	−6.12835	+	50.4715i	−0.235880	+	1.94265i
$676$	12.1001	−	17.5300i	0.465387	−	0.674229i
$677$	22.3422	−	11.7261i	0.858680	−	0.450670i	0.0229024	−	0.999738i	$-0.492709\pi$
$677$	22.3422	−	11.7261i	0.858680	−	0.450670i	0.835778	+	0.549067i	$0.185017\pi$
$678$	6.68046	−	17.6149i	0.256562	−	0.676497i
$679$	6.31905	+	1.55751i	0.242503	+	0.0597716i
$680$	0.110986	−	0.292647i	0.00425613	−	0.0112225i
$681$	19.9066	+	28.8396i	0.762821	+	1.10514i
$682$	−3.85907	+	5.59083i	−0.147771	+	0.214084i
$683$	−6.43567	−	16.9695i	−0.246254	−	0.649318i	0.753715	−	0.657201i	$-0.228260\pi$
$683$	−6.43567	−	16.9695i	−0.246254	−	0.649318i	−0.999969	+	0.00788315i	$0.997491\pi$
$684$	3.00823	+	24.7750i	0.115023	+	0.947297i
$685$	1.48288	−	0.778275i	0.0566579	−	0.0297364i
$686$	−8.70617	−	2.14588i	−0.332403	−	0.0819300i
$687$	51.9773			1.98306
$688$	8.79333			0.335242
$689$	−55.1445	−	13.5919i	−2.10084	−	0.517810i
$690$	−0.618642	−	0.896258i	−0.0235513	−	0.0341200i
$691$	−11.2134	+	9.93419i	−0.426577	+	0.377914i	−0.848920	−	0.528522i	$-0.822746\pi$
$691$	−11.2134	+	9.93419i	−0.426577	+	0.377914i	0.422342	+	0.906436i	$0.361208\pi$
$692$	−11.7880	+	2.90549i	−0.448114	+	0.110450i
$693$	−6.74534	+	1.66258i	−0.256234	+	0.0631561i
$694$	−12.5538	−	11.1217i	−0.476537	−	0.422175i
$695$	0.137820	+	1.13505i	0.00522781	+	0.0430549i
$696$	14.4518	−	20.9370i	0.547793	−	0.793616i
$697$	−4.09039	+	3.62377i	−0.154935	+	0.137260i
$698$	−6.27959	−	5.56323i	−0.237686	−	0.210571i
$699$	8.18965	+	21.5943i	0.309761	+	0.816773i
$700$	0.395885	+	3.26041i	0.0149631	+	0.123232i
$701$	−39.7244	−	20.8490i	−1.50037	−	0.787455i	−0.503313	−	0.864104i	$-0.667886\pi$
$701$	−39.7244	−	20.8490i	−1.50037	−	0.787455i	−0.997058	+	0.0766488i	$0.975578\pi$
$702$	34.0489	+	49.3284i	1.28509	+	1.86178i
$703$	28.7771	−	15.1034i	1.08535	−	0.569634i
$704$	−1.46589	−	0.769356i	−0.0552476	−	0.0289962i
$705$	5.09123	−	4.51043i	0.191747	−	0.169873i
$706$	−2.85148	+	23.4841i	−0.107317	+	0.883835i
$707$	−0.0555469	−	0.0492102i	−0.00208906	−	0.00185074i
$708$	2.14224	+	1.12433i	0.0805103	+	0.0422551i
$709$	−11.7363	+	30.9460i	−0.440765	+	1.16220i	0.512132	+	0.858907i	$0.328856\pi$
$709$	−11.7363	+	30.9460i	−0.440765	+	1.16220i	−0.952897	+	0.303295i	$0.901913\pi$
$710$	−2.28694			−0.0858274
$711$	−49.2778	+	27.4696i	−1.84806	+	1.03019i
$712$	−16.6171			−0.622751
$713$	2.89118	−	7.62341i	0.108276	−	0.285499i
$714$	3.12464	+	1.63994i	0.116937	+	0.0613731i
$715$	1.30106	+	1.15264i	0.0486571	+	0.0431064i
$716$	2.27701	−	18.7529i	0.0850960	−	0.700828i
$717$	−1.60224	+	1.41946i	−0.0598367	+	0.0530107i
$718$	10.2698	+	5.38999i	0.383265	+	0.201153i
$719$	18.4164	−	9.66567i	0.686816	−	0.360469i	−0.0849416	−	0.996386i	$-0.527070\pi$
$719$	18.4164	−	9.66567i	0.686816	−	0.360469i	0.771757	+	0.635917i	$0.219378\pi$
$720$	0.646416	+	0.936495i	0.0240905	+	0.0349011i
$721$	1.60102	+	0.840278i	0.0596250	+	0.0312936i
$722$	−0.426780	−	3.51485i	−0.0158831	−	0.130809i
$723$	−14.9930	−	39.5333i	−0.557596	−	1.47026i
$724$	−10.2260	−	9.05943i	−0.380046	−	0.336691i
$725$	30.9418	−	27.4120i	1.14915	−	1.01806i
$726$	−14.3445	+	20.7816i	−0.532374	+	0.771277i
$727$	0.237052	+	1.95230i	0.00879179	+	0.0724069i	0.996444	−	0.0842530i	$-0.0268504\pi$
$727$	0.237052	+	1.95230i	0.00879179	+	0.0724069i	−0.987653	+	0.156660i	$0.949927\pi$
$728$	2.89820	+	2.56758i	0.107415	+	0.0951610i
$729$	15.6609	−	3.86006i	0.580032	−	0.142965i
$730$	−0.619049	+	0.152582i	−0.0229120	+	0.00564731i
$731$	11.4910	−	10.1801i	0.425010	−	0.376526i
$732$	12.6027	+	18.2582i	0.465811	+	0.674844i
$733$	−11.0355	−	2.72000i	−0.407604	−	0.100465i	0.0301822	−	0.999544i	$-0.490391\pi$
$733$	−11.0355	−	2.72000i	−0.407604	−	0.100465i	−0.437786	+	0.899079i	$0.644237\pi$
$734$	−20.1311			−0.743053
$735$	−3.59717			−0.132683
$736$	1.92918	+	0.475499i	0.0711103	+	0.0175271i
$737$	22.0907	−	11.5941i	0.813723	−	0.427075i
$738$	−2.39484	−	19.7233i	−0.0881553	−	0.726024i
$739$	4.66445	+	12.2991i	0.171585	+	0.452431i	0.993031	−	0.117855i	$-0.0376017\pi$
$739$	4.66445	+	12.2991i	0.171585	+	0.452431i	−0.821446	+	0.570286i	$0.806832\pi$
$740$	0.841782	−	1.21953i	0.0309445	−	0.0448309i
$741$	39.9935	+	57.9406i	1.46920	+	2.12850i
$742$	2.27344	−	5.99457i	0.0834607	−	0.220068i
$743$	24.2092	+	5.96703i	0.888150	+	0.218909i	0.656893	−	0.753984i	$-0.271870\pi$
$743$	24.2092	+	5.96703i	0.888150	+	0.218909i	0.231257	+	0.972893i	$0.425716\pi$
$744$	−4.44879	+	11.7305i	−0.163101	+	0.430061i
$745$	−0.803336	+	0.421623i	−0.0294319	+	0.0154471i
$746$	−14.5902	+	21.1375i	−0.534185	+	0.773900i
$747$	−9.76417	+	80.4151i	−0.357252	+	2.94224i
$748$	−2.80629	+	0.691689i	−0.102608	+	0.0252907i
$749$	0.233789	−	1.92542i	0.00854245	−	0.0703534i
$750$	1.93736	+	5.10839i	0.0707423	+	0.186532i
$751$	−15.0642	−	39.7211i	−0.549702	−	1.44944i	−0.865641	−	0.500665i	$-0.833089\pi$
$751$	−15.0642	−	39.7211i	−0.549702	−	1.44944i	0.315939	−	0.948779i	$-0.397680\pi$
$752$	−1.49582	+	12.3192i	−0.0545471	+	0.449236i
$753$	−19.3758	+	4.77570i	−0.706092	+	0.174036i
$754$	5.87418	−	48.3782i	0.213925	−	1.76183i
$755$	−0.344285	+	0.498783i	−0.0125298	+	0.0181526i
$756$	−5.99105	+	3.14434i	−0.217892	+	0.114359i
$757$	−3.10146	+	8.17787i	−0.112724	+	0.297230i	−0.979492	−	0.201482i	$-0.935424\pi$
$757$	−3.10146	+	8.17787i	−0.112724	+	0.297230i	0.866768	+	0.498712i	$0.166193\pi$
$758$	10.5022	+	2.58855i	0.381456	+	0.0940204i
$759$	−3.56617	+	9.40322i	−0.129444	+	0.341315i
$760$	0.400415	+	0.580102i	0.0145246	+	0.0210425i
$761$	−11.8820	+	17.2141i	−0.430723	+	0.624010i	−0.976909	−	0.213654i	$-0.931464\pi$
$761$	−11.8820	+	17.2141i	−0.430723	+	0.624010i	0.546187	+	0.837663i	$0.316079\pi$
$762$	4.19571	+	11.0632i	0.151995	+	0.400777i
$763$	−0.177377	−	1.46083i	−0.00642149	−	0.0528857i
$764$	2.32579	−	1.22067i	0.0841441	−	0.0441622i
$765$	1.92892	+	0.475436i	0.0697403	+	0.0171894i
$766$	−14.3017			−0.516742
$767$	4.63453			0.167343
$768$	−2.96851	−	0.731673i	−0.107117	−	0.0264020i
$769$	−8.41946	−	12.1977i	−0.303614	−	0.439860i	0.641246	−	0.767335i	$-0.278418\pi$
$769$	−8.41946	−	12.1977i	−0.303614	−	0.439860i	−0.944860	+	0.327475i	$0.893802\pi$
$770$	−0.146869	+	0.130114i	−0.00529278	+	0.00468900i
$771$	70.8479	−	17.4624i	2.55152	−	0.628894i
$772$	−24.7094	+	6.09033i	−0.889312	+	0.219196i
$773$	3.28969	+	2.91441i	0.118322	+	0.104824i	0.720209	−	0.693757i	$-0.244046\pi$
$773$	3.28969	+	2.91441i	0.118322	+	0.104824i	−0.601887	+	0.798581i	$0.705584\pi$
$774$	6.72774	+	55.4079i	0.241824	+	1.99160i
$775$	−11.5803	+	16.7769i	−0.415976	+	0.602645i
$776$	−7.36845	+	6.52787i	−0.264512	+	0.234337i
$777$	12.5057	+	11.0791i	0.448640	+	0.397460i
$778$	8.58986	+	22.6496i	0.307961	+	0.812027i
$779$	−1.48346	−	12.2174i	−0.0531504	−	0.437733i
$780$	2.84237	+	1.49179i	0.101773	+	0.0534147i
$781$	11.9969	+	17.3805i	0.429282	+	0.621923i
$782$	3.07151	−	1.61205i	0.109837	−	0.0576469i
$783$	75.4050	+	39.5756i	2.69475	+	1.41432i
$784$	4.91242	−	4.35202i	0.175443	−	0.155429i
$785$	−0.0525760	+	0.433002i	−0.00187652	+	0.0154545i
$786$	1.51802	+	1.34485i	0.0541461	+	0.0479692i
$787$	−1.50822	−	0.791573i	−0.0537621	−	0.0282165i	0.437628	−	0.899156i	$-0.355819\pi$
$787$	−1.50822	−	0.791573i	−0.0537621	−	0.0282165i	−0.491390	+	0.870940i	$0.663511\pi$
$788$	−6.80518	+	17.9438i	−0.242425	+	0.639221i
$789$	−67.4188			−2.40017
$790$	−0.871814	+	1.33377i	−0.0310178	+	0.0474533i
$791$	4.07377			0.144847
$792$	3.72627	−	9.82537i	0.132407	−	0.349129i
$793$	37.6304	+	19.7500i	1.33629	+	0.701342i
$794$	0.793326	+	0.702826i	0.0281541	+	0.0249424i
$795$	0.640680	−	5.27647i	0.0227226	−	0.187137i
$796$	−5.94164	+	5.26383i	−0.210596	+	0.186572i
$797$	19.9699	+	10.4810i	0.707371	+	0.371257i	0.779725	−	0.626122i	$-0.215359\pi$
$797$	19.9699	+	10.4810i	0.707371	+	0.371257i	−0.0723541	+	0.997379i	$0.523051\pi$
$798$	−7.03702	+	3.69331i	−0.249108	+	0.130742i
$799$	12.3074	+	17.8303i	0.435404	+	0.630791i
$800$	−4.39882	−	2.30868i	−0.155522	−	0.0816242i
$801$	−12.7137	−	104.706i	−0.449215	−	3.69962i
$802$	−1.74633	−	4.60470i	−0.0616651	−	0.162598i
$803$	4.40702	+	3.90428i	0.155521	+	0.137779i
$804$	34.4869	−	30.5527i	1.21626	−	1.07751i
$805$	0.133775	−	0.193806i	0.00471494	−	0.00683078i
$806$	2.89682	+	23.8575i	0.102036	+	0.840343i
$807$	−27.1883	−	24.0867i	−0.957072	−	0.847892i
$808$	0.108987	−	0.0268629i	0.00383414	−	0.000945032i
$809$	28.4692	−	7.01703i	1.00092	−	0.246706i	0.295386	−	0.955378i	$-0.404552\pi$
$809$	28.4692	−	7.01703i	1.00092	−	0.246706i	0.705538	+	0.708672i	$0.250706\pi$
$810$	−1.64346	+	1.45598i	−0.0577454	+	0.0511580i
$811$	−9.10753	−	13.1945i	−0.319809	−	0.463323i	0.629802	−	0.776756i	$-0.283136\pi$
$811$	−9.10753	−	13.1945i	−0.319809	−	0.463323i	−0.949610	+	0.313433i	$0.898521\pi$
$812$	5.34136	+	1.31653i	0.187445	+	0.0462010i
$813$	23.9819			0.841082
$814$	−13.6841			−0.479628
$815$	−3.29513	−	0.812177i	−0.115423	−	0.0284493i
$816$	−4.72628	+	2.48054i	−0.165453	+	0.0868364i
$817$	4.16743	+	34.3218i	0.145800	+	1.20077i
$818$	−12.1907	−	32.1443i	−0.426239	−	1.12390i
$819$	−13.9613	+	20.2264i	−0.487847	+	0.706768i
$820$	−0.318769	−	0.461816i	−0.0111319	−	0.0161273i
$821$	1.85178	−	4.88275i	0.0646276	−	0.170409i	−0.898812	−	0.438334i	$-0.855569\pi$
$821$	1.85178	−	4.88275i	0.0646276	−	0.170409i	0.963440	+	0.267925i	$0.0863379\pi$
$822$	−27.7307	−	6.83499i	−0.967218	−	0.238398i
$823$	−3.17848	+	8.38098i	−0.110795	+	0.292142i	−0.978933	−	0.204180i	$-0.934547\pi$
$823$	−3.17848	+	8.38098i	−0.110795	+	0.292142i	0.868138	+	0.496322i	$0.165317\pi$
$824$	−2.42167	+	1.27099i	−0.0843629	+	0.0442771i
$825$	14.2839	−	20.6938i	0.497301	−	0.720465i
$826$	−0.0630602	+	0.519347i	−0.00219414	+	0.0180704i
$827$	−25.0407	+	6.17199i	−0.870752	+	0.214621i	−0.649283	−	0.760547i	$-0.724931\pi$
$827$	−25.0407	+	6.17199i	−0.870752	+	0.214621i	−0.221468	+	0.975168i	$0.571085\pi$
$828$	−1.52018	+	12.5198i	−0.0528298	+	0.435093i
$829$	7.35768	+	19.4006i	0.255543	+	0.673811i	0.999981	+	0.00611986i	$0.00194802\pi$
$829$	7.35768	+	19.4006i	0.255543	+	0.673811i	−0.744439	+	0.667691i	$0.767283\pi$
$830$	0.811300	+	2.13922i	0.0281606	+	0.0742535i
$831$	−2.63956	+	21.7388i	−0.0915655	+	0.754110i
$832$	−5.68648	+	1.40159i	−0.197143	+	0.0485914i
$833$	1.38109	−	11.3743i	0.0478520	−	0.394097i
$834$	11.0769	−	16.0477i	0.383562	−	0.555686i
$835$	2.05776	−	1.08000i	0.0712118	−	0.0373748i
$836$	2.30820	−	6.08622i	0.0798307	−	0.210496i
$837$	−40.7756	−	10.0503i	−1.40941	−	0.347388i
$838$	12.0215	−	31.6980i	0.415275	−	1.09499i
$839$	−10.9288	−	15.8331i	−0.377305	−	0.546621i	0.587623	−	0.809135i	$-0.300064\pi$
$839$	−10.9288	−	15.8331i	−0.377305	−	0.546621i	−0.964928	+	0.262514i	$0.915448\pi$
$840$	−0.205846	+	0.298219i	−0.00710235	+	0.0102895i
$841$	−14.2692	−	37.6248i	−0.492042	−	1.29741i
$842$	−4.69235	−	38.6450i	−0.161709	−	1.33179i
$843$	14.0413	−	7.36944i	0.483608	−	0.253817i
$844$	7.22205	+	1.78008i	0.248593	+	0.0612728i
$845$	3.81863			0.131365
$846$	−78.7695			−2.70815
$847$	−5.30170	−	1.30675i	−0.182169	−	0.0449006i
$848$	5.50879	+	7.98086i	0.189173	+	0.274064i
$849$	−2.71474	+	2.40505i	−0.0931696	+	0.0825411i
$850$	−8.42111	+	2.07562i	−0.288842	+	0.0711931i
$851$	15.9461	−	3.93037i	0.546627	−	0.134731i
$852$	29.1932	+	25.8629i	1.00014	+	0.886048i
$853$	−1.87925	−	15.4770i	−0.0643441	−	0.529922i	−0.988868	−	0.148797i	$-0.952460\pi$
$853$	−1.87925	−	15.4770i	−0.0643441	−	0.529922i	0.924524	−	0.381125i	$-0.124463\pi$
$854$	−2.72521	+	3.94815i	−0.0932548	+	0.135103i
$855$	−3.34894	+	2.96690i	−0.114531	+	0.101466i
$856$	2.19594	+	1.94544i	0.0750558	+	0.0664937i
$857$	5.86289	+	15.4592i	0.200273	+	0.528075i	0.997098	−	0.0761348i	$-0.0242579\pi$
$857$	5.86289	+	15.4592i	0.200273	+	0.528075i	−0.796825	+	0.604210i	$0.793489\pi$
$858$	−3.57313	−	29.4273i	−0.121984	−	1.00463i
$859$	0.217298	+	0.114047i	0.00741412	+	0.00389123i	0.468426	−	0.883503i	$-0.344821\pi$
$859$	0.217298	+	0.114047i	0.00741412	+	0.00389123i	−0.461012	+	0.887394i	$0.652514\pi$
$860$	0.895506	+	1.29736i	0.0305365	+	0.0442398i
$861$	5.60214	−	2.94023i	0.190920	−	0.100203i
$862$	8.88017	+	4.66067i	0.302460	+	0.158743i
$863$	−10.6300	+	9.41739i	−0.361851	+	0.320572i	−0.824385	−	0.566030i	$-0.808479\pi$
$863$	−10.6300	+	9.41739i	−0.361851	+	0.320572i	0.462534	+	0.886601i	$0.346940\pi$
$864$	1.23360	−	10.1596i	0.0419679	−	0.345637i
$865$	−1.62916	−	1.44331i	−0.0553932	−	0.0490741i
$866$	−16.3879	−	8.60103i	−0.556884	−	0.292275i
$867$	15.1261	−	39.8843i	0.513710	−	1.35454i
$868$	−2.71289			−0.0920816
$869$	14.7099	−	0.371020i	0.498998	−	0.0125860i
$870$	4.56080			0.154626
$871$	31.2972	−	82.5238i	1.06046	−	2.79621i
$872$	1.97090	+	1.03441i	0.0667432	+	0.0350295i
$873$	−46.7706	−	41.4351i	−1.58294	−	1.40237i
$874$	−0.941658	+	7.75525i	−0.0318521	+	0.262325i
$875$	−0.884297	+	0.783419i	−0.0298947	+	0.0264844i
$876$	9.62780	+	5.05306i	0.325293	+	0.170727i
$877$	−29.1313	+	15.2893i	−0.983694	+	0.516282i	−0.878280	−	0.478146i	$-0.841309\pi$
$877$	−29.1313	+	15.2893i	−0.983694	+	0.516282i	−0.105414	+	0.994428i	$0.533617\pi$
$878$	−17.7586	−	25.7278i	−0.599324	−	0.868271i
$879$	0.718278	+	0.376981i	0.0242269	+	0.0127153i
$880$	−0.0357742	−	0.294627i	−0.00120595	−	0.00993187i
$881$	16.3170	+	43.0244i	0.549733	+	1.44953i	0.865606	+	0.500726i	$0.166934\pi$
$881$	16.3170	+	43.0244i	0.549733	+	1.44953i	−0.315872	+	0.948802i	$0.602297\pi$
$882$	31.1811	+	27.6241i	1.04992	+	0.930151i
$883$	−22.4969	+	19.9305i	−0.757080	+	0.670714i	−0.950613	−	0.310380i	$-0.899544\pi$
$883$	−22.4969	+	19.9305i	−0.757080	+	0.670714i	0.193533	+	0.981094i	$0.438005\pi$
$884$	−5.80838	+	8.41489i	−0.195357	+	0.283023i
$885$	0.0522803	+	0.430567i	0.00175738	+	0.0144733i
$886$	30.4208	+	26.9505i	1.02201	+	0.905420i
$887$	−14.3939	+	3.54778i	−0.483300	+	0.119123i	−0.473435	−	0.880829i	$-0.656986\pi$
$887$	−14.3939	+	3.54778i	−0.483300	+	0.119123i	−0.00986444	+	0.999951i	$0.503140\pi$
$888$	−24.5371	+	6.04785i	−0.823411	+	0.202953i
$889$	−1.91511	+	1.69664i	−0.0642307	+	0.0569035i
$890$	−1.69227	−	2.45168i	−0.0567251	−	0.0821804i
$891$	19.6866	+	4.85231i	0.659526	+	0.162559i
$892$	−7.14823			−0.239340
$893$	−48.7929			−1.63279
$894$	15.0228	+	3.70279i	0.502438	+	0.123840i
$895$	2.99868	−	1.57383i	0.100235	−	0.0526074i
$896$	−0.0796893	−	0.656300i	−0.00266223	−	0.0219255i
$897$	12.6159	+	33.2655i	0.421233	+	1.11070i
$898$	−5.23330	+	7.58174i	−0.174637	+	0.253006i
$899$	19.3967	+	28.1010i	0.646916	+	0.937219i
$900$	11.1818	−	29.4839i	0.372726	−	0.982798i
$901$	16.4384	+	4.05169i	0.547641	+	0.134981i
$902$	−1.83755	+	4.84521i	−0.0611836	+	0.161328i
$903$	−15.7379	+	8.25988i	−0.523724	+	0.274872i
$904$	−3.50037	+	5.07116i	−0.116421	+	0.168664i
$905$	0.295219	−	2.43134i	0.00981340	−	0.0808206i
$906$	10.0356	−	2.47354i	0.333409	−	0.0821780i
$907$	−5.09476	+	41.9592i	−0.169169	+	1.39323i	0.622662	+	0.782491i	$0.286051\pi$
$907$	−5.09476	+	41.9592i	−0.169169	+	1.39323i	−0.791831	+	0.610740i	$0.790872\pi$
$908$	−4.06441	−	10.7170i	−0.134882	−	0.355655i
$909$	0.252652	+	0.666188i	0.00837993	+	0.0220961i
$910$	−0.0836696	+	0.689081i	−0.00277362	+	0.0228428i
$911$	21.5316	−	5.30706i	0.713373	−	0.175831i	0.134104	−	0.990967i	$-0.457184\pi$
$911$	21.5316	−	5.30706i	0.713373	−	0.175831i	0.579269	+	0.815137i	$0.303338\pi$
$912$	1.44897	−	11.9334i	0.0479803	−	0.395153i
$913$	12.0019	−	17.3878i	0.397205	−	0.575451i
$914$	34.6221	−	18.1711i	1.14520	−	0.601046i
$915$	−1.41036	+	3.71881i	−0.0466250	+	0.122940i
$916$	−16.5067	−	4.06855i	−0.545398	−	0.134429i
$917$	−0.155511	+	0.410048i	−0.00513541	+	0.0135410i
$918$	−10.1499	−	14.7046i	−0.334995	−	0.485324i
$919$	−3.14963	+	4.56302i	−0.103897	+	0.150520i	−0.871484	−	0.490424i	$-0.836842\pi$
$919$	−3.14963	+	4.56302i	−0.103897	+	0.150520i	0.767587	+	0.640945i	$0.221457\pi$
$920$	0.126311	+	0.333054i	0.00416435	+	0.0109805i
$921$	−9.93966	−	81.8605i	−0.327523	−	2.69739i
$922$	−14.4008	+	7.55811i	−0.474264	+	0.248913i
$923$	72.5406	+	17.8796i	2.38770	+	0.588516i
$924$	3.34626			0.110084
$925$	−41.0633			−1.35015
$926$	3.19295	+	0.786992i	0.104927	+	0.0258622i
$927$	−9.86149	−	14.2868i	−0.323894	−	0.469241i
$928$	−6.22839	+	5.51787i	−0.204457	+	0.181133i
$929$	−10.5601	+	2.60282i	−0.346464	+	0.0853958i	−0.408708	−	0.912665i	$-0.634021\pi$
$929$	−10.5601	+	2.60282i	−0.346464	+	0.0853958i	0.0622436	+	0.998061i	$0.480174\pi$
$930$	−2.18378	+	0.538253i	−0.0716089	+	0.0176500i
$931$	19.3148	+	17.1114i	0.633017	+	0.560805i
$932$	−0.910530	−	7.49889i	−0.0298254	−	0.245634i
$933$	−40.6619	+	58.9090i	−1.33121	+	1.92859i
$934$	1.76683	−	1.56528i	0.0578125	−	0.0512174i
$935$	−0.387843	−	0.343599i	−0.0126838	−	0.0112369i
$936$	−13.1823	−	34.7589i	−0.430877	−	1.13613i
$937$	6.04643	+	49.7968i	0.197528	+	1.62679i	0.667850	+	0.744296i	$0.267215\pi$
$937$	6.04643	+	49.7968i	0.197528	+	1.62679i	−0.470321	+	0.882495i	$0.655862\pi$
$938$	8.82181	+	4.63004i	0.288042	+	0.151176i
$939$	23.6265	+	34.2289i	0.771021	+	1.11702i
$940$	−1.96991	+	1.03389i	−0.0642513	+	0.0337217i
$941$	27.2935	+	14.3247i	0.889743	+	0.466973i	0.846682	−	0.532099i	$-0.178597\pi$
$941$	27.2935	+	14.3247i	0.889743	+	0.466973i	0.0430614	+	0.999072i	$0.486289\pi$
$942$	5.56794	−	4.93277i	0.181413	−	0.160718i
$943$	0.749649	−	6.17392i	0.0244119	−	0.201050i
$944$	−0.592316	−	0.524746i	−0.0192782	−	0.0170790i
$945$	−1.07404	−	0.563699i	−0.0349385	−	0.0183371i
$946$	5.16216	−	13.6115i	0.167836	−	0.442548i
$947$	28.7278			0.933530			0.466765	−	0.884381i	$-0.345419\pi$
$947$	28.7278			0.933530			0.466765	+	0.884381i	$0.345419\pi$
$948$	26.2124	−	7.16646i	0.851338	−	0.232756i
$949$	20.8288			0.676132
$950$	6.92643	−	18.2635i	0.224723	−	0.592546i
$951$	−14.1069	−	7.40389i	−0.457449	−	0.240088i
$952$	−0.863944	−	0.765387i	−0.0280006	−	0.0248063i
$953$	0.722212	−	5.94795i	0.0233948	−	0.192673i	−0.976326	−	0.216304i	$-0.930600\pi$
$953$	0.722212	−	5.94795i	0.0233948	−	0.192673i	0.999721	+	0.0236312i	$0.00752274\pi$
$954$	−46.0737	+	40.8178i	−1.49169	+	1.32152i
$955$	0.416954	+	0.218834i	0.0134923	+	0.00708131i
$956$	0.619941	−	0.325370i	0.0200503	−	0.0105232i
$957$	−23.9251	−	34.6616i	−0.773390	−	1.12045i
$958$	21.2283	+	11.1415i	0.685856	+	0.359965i
$959$	−0.744425	−	6.13089i	−0.0240387	−	0.197977i
$960$	−0.194360	−	0.512487i	−0.00627296	−	0.0165404i
$961$	10.6000	+	9.39080i	0.341936	+	0.302929i
$962$	−36.2353	+	32.1017i	−1.16827	+	1.03500i
$963$	−10.5783	+	15.3254i	−0.340883	+	0.493854i
$964$	1.66693	+	13.7284i	0.0536882	+	0.442162i
$965$	−3.41496	−	3.02539i	−0.109931	−	0.0973907i
$966$	−3.89940	+	0.961116i	−0.125461	+	0.0309234i
$967$	−8.69640	+	2.14347i	−0.279657	+	0.0689293i	−0.376650	−	0.926356i	$-0.622924\pi$
$967$	−8.69640	+	2.14347i	−0.279657	+	0.0689293i	0.0969923	+	0.995285i	$0.469078\pi$
$968$	6.18215	−	5.47691i	0.198702	−	0.176035i
$969$	−11.9219	−	17.2719i	−0.382987	−	0.554852i
$970$	−1.71352	−	0.422344i	−0.0550177	−	0.0135607i
$971$	−3.62109			−0.116206			−0.0581032	−	0.998311i	$-0.518505\pi$
$971$	−3.62109			−0.116206			−0.0581032	+	0.998311i	$0.518505\pi$
$972$	6.74200			0.216250
$973$	4.09401	+	1.00908i	0.131248	+	0.0323497i
$974$	−23.6440	+	12.4093i	−0.757602	+	0.397620i
$975$	−10.7222	−	88.3054i	−0.343386	−	2.82804i
$976$	−2.57316	−	6.78486i	−0.0823648	−	0.217178i
$977$	8.12012	−	11.7640i	0.259786	−	0.376365i	−0.671287	−	0.741197i	$-0.734258\pi$
$977$	8.12012	−	11.7640i	0.259786	−	0.376365i	0.931073	+	0.364833i	$0.118874\pi$
$978$	32.8780	+	47.6320i	1.05132	+	1.52310i
$979$	−9.75512	+	25.7221i	−0.311775	+	0.822083i
$980$	1.14237	+	0.281570i	0.0364918	+	0.00899441i
$981$	−5.01002	+	13.2103i	−0.159958	+	0.421774i
$982$	−5.14523	+	2.70043i	−0.164191	+	0.0861741i
$983$	−27.2202	+	39.4352i	−0.868188	+	1.25779i	0.0967492	+	0.995309i	$0.469156\pi$
$983$	−27.2202	+	39.4352i	−0.868188	+	1.25779i	−0.964938	+	0.262479i	$0.915460\pi$
$984$	−1.15352	+	9.50010i	−0.0367729	+	0.302852i
$985$	−3.34046	+	0.823349i	−0.106436	+	0.0262341i
$986$	−1.75107	+	14.4214i	−0.0557655	+	0.459270i
$987$	−8.89472	−	23.4534i	−0.283122	−	0.746531i
$988$	−8.16564	−	21.5310i	−0.259784	−	0.684993i
$989$	−2.10596	+	17.3442i	−0.0669658	+	0.551513i
$990$	1.82911	−	0.450836i	0.0581330	−	0.0143285i
$991$	−0.100244	+	0.825586i	−0.00318436	+	0.0262256i	−0.994214	−	0.107413i	$-0.965743\pi$
$991$	−0.100244	+	0.825586i	−0.00318436	+	0.0262256i	0.991030	+	0.133639i	$0.0426662\pi$
$992$	2.33104	−	3.37709i	0.0740106	−	0.107223i
$993$	65.4375	−	34.3443i	2.07660	−	1.08988i
$994$	−2.99063	+	7.88565i	−0.0948571	+	0.250118i
$995$	−1.38172	−	0.340563i	−0.0438034	−	0.0107966i
$996$	13.8360	−	36.4825i	0.438409	−	1.15599i
$997$	9.07562	+	13.1483i	0.287428	+	0.416411i	0.939925	−	0.341380i	$-0.110894\pi$
$997$	9.07562	+	13.1483i	0.287428	+	0.416411i	−0.652498	+	0.757791i	$0.726279\pi$
$998$	−7.60093	+	11.0118i	−0.240603	+	0.348574i
$999$	−29.9974	−	79.0967i	−0.949076	−	2.50251i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	158.2.e.a.87.4	✓	48
79.10	even	13	inner	158.2.e.a.89.4	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
158.2.e.a.87.4	✓	48	1.1	even	1	trivial
158.2.e.a.89.4	yes	48	79.10	even	13	inner

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:	\( N \)	\(=\)	\( 158 = 2 \cdot 79 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	158.e (of order \(13\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.354605 + 0.935016i) q^{2} +(2.70715 + 1.42082i) q^{3} +(-0.748511 - 0.663123i) q^{4} +(0.0216091 - 0.177967i) q^{5} +(-2.28846 + 2.02740i) q^{6} +(-0.585393 - 0.307238i) q^{7} +(0.885456 - 0.464723i) q^{8} +(3.60574 + 5.22382i) q^{9} +(0.158739 + 0.0833128i) q^{10} +(-0.199550 - 1.64344i) q^{11} +(-1.08415 - 2.85868i) q^{12} +(-4.38378 - 3.88369i) q^{13} +(0.494856 - 0.438404i) q^{14} +(0.311359 - 0.451081i) q^{15} +(0.120537 + 0.992709i) q^{16} +(1.30679 + 1.15771i) q^{17} +(-6.16297 + 1.51904i) q^{18} +(-3.81758 + 0.940950i) q^{19} +(-0.134189 + 0.118881i) q^{20} +(-1.14822 - 1.66348i) q^{21} +(1.60741 + 0.396191i) q^{22} -1.98691 q^{23} +3.05735 q^{24} +(4.82350 + 1.18889i) q^{25} +(5.18582 - 2.72173i) q^{26} +(1.23360 + 10.1596i) q^{27} +(0.234437 + 0.618158i) q^{28} +(4.72689 - 6.84809i) q^{29} +(0.311359 + 0.451081i) q^{30} +(-1.45511 + 3.83682i) q^{31} +(-0.970942 - 0.239316i) q^{32} +(1.79483 - 4.73258i) q^{33} +(-1.54587 + 0.811337i) q^{34} +(-0.0673281 + 0.0975415i) q^{35} +(0.765096 - 6.30113i) q^{36} +(-8.02560 + 1.97813i) q^{37} +(0.473930 - 3.90317i) q^{38} +(-6.34952 - 16.7423i) q^{39} +(-0.0635715 - 0.167624i) q^{40} +(-0.377294 + 3.10729i) q^{41} +(1.96254 - 0.483724i) q^{42} +(1.05992 - 8.72921i) q^{43} +(-0.940440 + 1.36246i) q^{44} +(1.00758 - 0.528821i) q^{45} +(0.704568 - 1.85779i) q^{46} +(12.0491 + 2.96983i) q^{47} +(-1.08415 + 2.85868i) q^{48} +(-3.72816 - 5.40118i) q^{49} +(-2.82207 + 4.08847i) q^{50} +(1.89277 + 4.99082i) q^{51} +(0.705943 + 5.81396i) q^{52} +(8.58668 - 4.50664i) q^{53} +(-9.93684 - 2.44921i) q^{54} -0.296791 q^{55} -0.661121 q^{56} +(-11.6717 - 2.87682i) q^{57} +(4.72689 + 6.84809i) q^{58} +(-0.592316 + 0.524746i) q^{59} +(-0.532177 + 0.131170i) q^{60} +(-7.04555 + 1.73657i) q^{61} +(-3.07150 - 2.72111i) q^{62} +(-0.505821 - 4.16581i) q^{63} +(0.568065 - 0.822984i) q^{64} +(-0.785897 + 0.696244i) q^{65} +(3.78858 + 3.35639i) q^{66} +(5.34386 + 14.0906i) q^{67} +(-0.210439 - 1.73312i) q^{68} +(-5.37887 - 2.82305i) q^{69} +(-0.0673281 - 0.0975415i) q^{70} +(-11.2955 + 5.92832i) q^{71} +(5.62036 + 2.94979i) q^{72} +(-2.66203 + 2.35835i) q^{73} +(0.996330 - 8.20552i) q^{74} +(11.3688 + 10.0718i) q^{75} +(3.48147 + 1.82722i) q^{76} +(-0.388113 + 1.02337i) q^{77} +17.9059 q^{78} +(-0.848535 + 8.84760i) q^{79} +0.179274 q^{80} +(-4.34299 + 11.4515i) q^{81} +(-2.77158 - 1.45464i) q^{82} +(9.55250 + 8.46278i) q^{83} +(-0.243638 + 2.00654i) q^{84} +(0.234273 - 0.207548i) q^{85} +(7.78610 + 4.08646i) q^{86} +(22.5263 - 11.8227i) q^{87} +(-0.940440 - 1.36246i) q^{88} +(-14.7137 - 7.72234i) q^{89} +(0.137162 + 1.12963i) q^{90} +(1.37302 + 3.62035i) q^{91} +(1.48722 + 1.31757i) q^{92} +(-9.39065 + 8.31939i) q^{93} +(-7.04951 + 10.2130i) q^{94} +(0.0849635 + 0.699737i) q^{95} +(-2.28846 - 2.02740i) q^{96} +(-9.55809 + 2.35586i) q^{97} +(6.37221 - 1.57061i) q^{98} +(7.86553 - 6.96825i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 4 q^{2} - 2 q^{3} - 4 q^{4} + 11 q^{5} - 2 q^{6} - 8 q^{7} - 4 q^{8} - 18 q^{9} - 2 q^{10} - 8 q^{11} - 2 q^{12} + 16 q^{13} + 5 q^{14} - 2 q^{15} - 4 q^{16} + 6 q^{17} - 18 q^{18} + 6 q^{19} - 2 q^{20}+ \cdots - 58 q^{99}+O(q^{100}) \) 48 * q - 4 * q^2 - 2 * q^3 - 4 * q^4 + 11 * q^5 - 2 * q^6 - 8 * q^7 - 4 * q^8 - 18 * q^9 - 2 * q^10 - 8 * q^11 - 2 * q^12 + 16 * q^13 + 5 * q^14 - 2 * q^15 - 4 * q^16 + 6 * q^17 - 18 * q^18 + 6 * q^19 - 2 * q^20 - 12 * q^21 + 5 * q^22 - 16 * q^23 + 24 * q^24 - 17 * q^25 + 3 * q^26 + 7 * q^27 - 8 * q^28 - 34 * q^29 - 2 * q^30 - 19 * q^31 - 4 * q^32 + 8 * q^33 - 20 * q^34 + 122 * q^35 - 18 * q^36 - 4 * q^37 - 20 * q^38 - 50 * q^39 - 2 * q^40 - 36 * q^41 + 14 * q^42 - 24 * q^43 + 18 * q^44 - 4 * q^45 + 10 * q^46 - 22 * q^47 - 2 * q^48 - 28 * q^49 - 4 * q^50 + 78 * q^51 - 10 * q^52 - 12 * q^53 + 7 * q^54 - 88 * q^55 + 18 * q^56 - 28 * q^57 - 34 * q^58 - 52 * q^59 + 11 * q^60 - 47 * q^61 + 20 * q^62 + 11 * q^63 - 4 * q^64 - 16 * q^65 + 8 * q^66 + 67 * q^67 - 7 * q^68 - 4 * q^69 + 122 * q^70 - 12 * q^71 - 18 * q^72 + 101 * q^73 - 4 * q^74 - 62 * q^75 + 32 * q^76 + 113 * q^77 - 50 * q^78 - 2 * q^80 + 36 * q^81 + 29 * q^82 + 91 * q^83 + 53 * q^84 - q^85 - 24 * q^86 + 210 * q^87 + 18 * q^88 + 4 * q^89 + 126 * q^90 - 33 * q^91 - 3 * q^92 - 3 * q^93 + 17 * q^94 - 42 * q^95 - 2 * q^96 - 32 * q^97 + 24 * q^98 - 58 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more