LMFDB - Embedded newform 230.2.l.a.107.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [230,2,Mod(7,230)] 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("230.7"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(230, base_ring=CyclotomicField(44)) chi = DirichletCharacter(H, H._module([11, 38])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.l (of order $44$, degree $20$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{44})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label			107.3
Character	$\chi$	$=$	230.107
Dual form			230.2.l.a.43.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.800541 + 0.599278i) q^{2} +(-0.0955864 - 0.0356519i) q^{3} +(0.281733 - 0.959493i) q^{4} +(-1.47115 + 1.68396i) q^{5} +(0.0978863 - 0.0287420i) q^{6} +(-2.15532 + 0.468861i) q^{7} +(0.349464 + 0.936950i) q^{8} +(-2.25938 - 1.95777i) q^{9} +(0.168555 - 2.22971i) q^{10} +(-1.11635 + 0.160506i) q^{11} +(-0.0611375 + 0.0816702i) q^{12} +(-0.355375 + 1.63363i) q^{13} +(1.44444 - 1.66698i) q^{14} +(0.200658 - 0.108514i) q^{15} +(-0.841254 - 0.540641i) q^{16} +(-1.55057 + 2.83966i) q^{17} +(2.98198 + 0.213275i) q^{18} +(-4.49710 - 1.32047i) q^{19} +(1.20128 + 1.88598i) q^{20} +(0.222735 + 0.0320244i) q^{21} +(0.797494 - 0.797494i) q^{22} +(-3.52962 + 3.24681i) q^{23} -0.102019i q^{24} +(-0.671444 - 4.95471i) q^{25} +(-0.694507 - 1.52076i) q^{26} +(0.292845 + 0.536306i) q^{27} +(-0.157355 + 2.20010i) q^{28} +(0.667046 + 2.27175i) q^{29} +(-0.0956048 + 0.207120i) q^{30} +(2.69819 - 5.90821i) q^{31} +(0.997452 - 0.0713392i) q^{32} +(0.112430 + 0.0244576i) q^{33} +(-0.460449 - 3.20249i) q^{34} +(2.38125 - 4.31923i) q^{35} +(-2.51500 + 1.61630i) q^{36} +(0.118595 + 1.65818i) q^{37} +(4.39144 - 1.63792i) q^{38} +(0.0922111 - 0.143483i) q^{39} +(-2.09190 - 0.789908i) q^{40} +(4.53806 + 5.23720i) q^{41} +(-0.197500 + 0.107843i) q^{42} +(0.209700 - 0.562228i) q^{43} +(-0.160506 + 1.11635i) q^{44} +(6.62069 - 0.924546i) q^{45} +(0.879872 - 4.71443i) q^{46} +(2.27449 + 2.27449i) q^{47} +(0.0611375 + 0.0816702i) q^{48} +(-1.94186 + 0.886819i) q^{49} +(3.50677 + 3.56407i) q^{50} +(0.249453 - 0.216152i) q^{51} +(1.46734 + 0.801227i) q^{52} +(2.25620 + 10.3716i) q^{53} +(-0.555831 - 0.253840i) q^{54} +(1.37203 - 2.11601i) q^{55} +(-1.19250 - 1.85557i) q^{56} +(0.382784 + 0.286549i) q^{57} +(-1.89541 - 1.41888i) q^{58} +(2.64399 + 4.11413i) q^{59} +(-0.0475870 - 0.223102i) q^{60} +(9.76143 + 4.45790i) q^{61} +(1.38065 + 6.34673i) q^{62} +(5.78761 + 3.16027i) q^{63} +(-0.755750 + 0.654861i) q^{64} +(-2.22816 - 3.00175i) q^{65} +(-0.104662 + 0.0477974i) q^{66} +(-4.04125 - 5.39848i) q^{67} +(2.28779 + 2.28779i) q^{68} +(0.453139 - 0.184513i) q^{69} +(0.682131 + 4.88475i) q^{70} +(2.33948 - 16.2714i) q^{71} +(1.04476 - 2.80110i) q^{72} +(4.27777 - 2.33584i) q^{73} +(-1.08865 - 1.25637i) q^{74} +(-0.112464 + 0.497541i) q^{75} +(-2.53396 + 3.94291i) q^{76} +(2.33083 - 0.869353i) q^{77} +(0.0121675 + 0.170124i) q^{78} +(-10.1145 + 6.50021i) q^{79} +(2.14803 - 0.621275i) q^{80} +(1.26752 + 8.81578i) q^{81} +(-6.77144 - 1.47304i) q^{82} +(-0.799860 + 0.0572071i) q^{83} +(0.0934789 - 0.204690i) q^{84} +(-2.50076 - 6.78867i) q^{85} +(0.169057 + 0.575756i) q^{86} +(0.0172316 - 0.240930i) q^{87} +(-0.540510 - 0.989870i) q^{88} +(-4.52396 - 9.90608i) q^{89} +(-4.74607 + 4.70777i) q^{90} -3.68762i q^{91} +(2.12088 + 4.30138i) q^{92} +(-0.468549 + 0.468549i) q^{93} +(-3.18388 - 0.457773i) q^{94} +(8.83951 - 5.63033i) q^{95} +(-0.0978863 - 0.0287420i) q^{96} +(-11.3160 - 0.809339i) q^{97} +(1.02309 - 1.87365i) q^{98} +(2.83649 + 1.82290i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) $ 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{17}{22}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.800541	+	0.599278i	−0.566068	+	0.423753i
$2$	−0.800541	+	0.599278i	−0.566068	+	0.423753i
$3$	−0.0955864	−	0.0356519i	−0.0551868	−	0.0205836i	0.321719	−	0.946835i	$-0.395739\pi$
$3$	−0.0955864	−	0.0356519i	−0.0551868	−	0.0205836i	−0.376906	+	0.926252i	$0.623012\pi$
$4$	0.281733	−	0.959493i	0.140866	−	0.479746i
$5$	−1.47115	+	1.68396i	−0.657918	+	0.753090i
$5$	−1.47115	+	1.68396i	−0.657918	+	0.753090i
$6$	0.0978863	−	0.0287420i	0.0399619	−	0.0117339i
$7$	−2.15532	+	0.468861i	−0.814633	+	0.177213i	−0.600534	−	0.799599i	$-0.705045\pi$
$7$	−2.15532	+	0.468861i	−0.814633	+	0.177213i	−0.214099	+	0.976812i	$0.568682\pi$
$8$	0.349464	+	0.936950i	0.123554	+	0.331262i
$9$	−2.25938	−	1.95777i	−0.753128	−	0.652589i
$10$	0.168555	−	2.22971i	0.0533019	−	0.705095i
$11$	−1.11635	+	0.160506i	−0.336591	+	0.0483945i	−0.308538	−	0.951212i	$-0.599840\pi$
$11$	−1.11635	+	0.160506i	−0.336591	+	0.0483945i	−0.0280530	+	0.999606i	$0.508931\pi$
$12$	−0.0611375	+	0.0816702i	−0.0176489	+	0.0235762i
$13$	−0.355375	+	1.63363i	−0.0985633	+	0.453088i	0.901241	+	0.433318i	$0.142657\pi$
$13$	−0.355375	+	1.63363i	−0.0985633	+	0.453088i	−0.999805	+	0.0197704i	$0.993706\pi$
$14$	1.44444	−	1.66698i	0.386044	−	0.445518i
$15$	0.200658	−	0.108514i	0.0518097	−	0.0280183i
$16$	−0.841254	−	0.540641i	−0.210313	−	0.135160i
$17$	−1.55057	+	2.83966i	−0.376069	+	0.688720i	−0.995337	−	0.0964604i	$-0.969248\pi$
$17$	−1.55057	+	2.83966i	−0.376069	+	0.688720i	0.619267	+	0.785180i	$0.287430\pi$
$18$	2.98198	+	0.213275i	0.702858	+	0.0502694i
$19$	−4.49710	−	1.32047i	−1.03170	−	0.302936i	−0.278301	−	0.960494i	$-0.589771\pi$
$19$	−4.49710	−	1.32047i	−1.03170	−	0.302936i	−0.753404	+	0.657558i	$0.771589\pi$
$20$	1.20128	+	1.88598i	0.268614	+	0.421719i
$21$	0.222735	+	0.0320244i	0.0486047	+	0.00698830i
$22$	0.797494	−	0.797494i	0.170026	−	0.170026i
$23$	−3.52962	+	3.24681i	−0.735978	+	0.677006i
$23$	−3.52962	+	3.24681i	−0.735978	+	0.677006i
$24$		−	0.102019i		−	0.0208245i
$25$	−0.671444	−	4.95471i	−0.134289	−	0.990942i
$26$	−0.694507	−	1.52076i	−0.136204	−	0.298245i
$27$	0.292845	+	0.536306i	0.0563581	+	0.103212i
$28$	−0.157355	+	2.20010i	−0.0297372	+	0.415781i
$29$	0.667046	+	2.27175i	0.123867	+	0.421853i	0.997955	−	0.0639142i	$-0.0203584\pi$
$29$	0.667046	+	2.27175i	0.123867	+	0.421853i	−0.874088	+	0.485767i	$0.838540\pi$
$30$	−0.0956048	+	0.207120i	−0.0174550	+	0.0378148i
$31$	2.69819	−	5.90821i	0.484609	−	1.06115i	−0.496561	−	0.868002i	$-0.665404\pi$
$31$	2.69819	−	5.90821i	0.484609	−	1.06115i	0.981170	−	0.193144i	$-0.0618685\pi$
$32$	0.997452	−	0.0713392i	0.176326	−	0.0126111i
$33$	0.112430	+	0.0244576i	0.0195715	+	0.00425753i
$34$	−0.460449	−	3.20249i	−0.0789663	−	0.549223i
$35$	2.38125	−	4.31923i	0.402505	−	0.730083i
$36$	−2.51500	+	1.61630i	−0.419167	+	0.269383i
$37$	0.118595	+	1.65818i	0.0194969	+	0.272603i	0.997844	+	0.0656313i	$0.0209061\pi$
$37$	0.118595	+	1.65818i	0.0194969	+	0.272603i	−0.978347	+	0.206971i	$0.933639\pi$
$38$	4.39144	−	1.63792i	0.712385	−	0.265706i
$39$	0.0922111	−	0.143483i	0.0147656	−	0.0229757i
$40$	−2.09190	−	0.789908i	−0.330758	−	0.124895i
$41$	4.53806	+	5.23720i	0.708726	+	0.817913i	0.989904	−	0.141743i	$-0.0452706\pi$
$41$	4.53806	+	5.23720i	0.708726	+	0.817913i	−0.281178	+	0.959656i	$0.590725\pi$
$42$	−0.197500	+	0.107843i	−0.0304749	+	0.0166406i
$43$	0.209700	−	0.562228i	0.0319790	−	0.0857390i	−0.919979	−	0.391968i	$-0.871794\pi$
$43$	0.209700	−	0.562228i	0.0319790	−	0.0857390i	0.951958	+	0.306229i	$0.0990672\pi$
$44$	−0.160506	+	1.11635i	−0.0241973	+	0.168296i
$45$	6.62069	−	0.924546i	0.986954	−	0.137823i
$46$	0.879872	−	4.71443i	0.129730	−	0.695104i
$47$	2.27449	+	2.27449i	0.331769	+	0.331769i	0.853258	−	0.521489i	$-0.174623\pi$
$47$	2.27449	+	2.27449i	0.331769	+	0.331769i	−0.521489	+	0.853258i	$0.674623\pi$
$48$	0.0611375	+	0.0816702i	0.00882444	+	0.0117881i
$49$	−1.94186	+	0.886819i	−0.277409	+	0.126688i
$50$	3.50677	+	3.56407i	0.495932	+	0.504036i
$51$	0.249453	−	0.216152i	0.0349304	−	0.0302674i
$52$	1.46734	+	0.801227i	0.203483	+	0.111110i
$53$	2.25620	+	10.3716i	0.309913	+	1.42465i	0.823844	+	0.566817i	$0.191825\pi$
$53$	2.25620	+	10.3716i	0.309913	+	1.42465i	−0.513930	+	0.857832i	$0.671811\pi$
$54$	−0.555831	−	0.253840i	−0.0756390	−	0.0345432i
$55$	1.37203	−	2.11601i	0.185004	−	0.285323i
$56$	−1.19250	−	1.85557i	−0.159355	−	0.247961i
$57$	0.382784	+	0.286549i	0.0507010	+	0.0379543i
$58$	−1.89541	−	1.41888i	−0.248879	−	0.186308i
$59$	2.64399	+	4.11413i	0.344218	+	0.535614i	0.969597	−	0.244707i	$-0.0786919\pi$
$59$	2.64399	+	4.11413i	0.344218	+	0.535614i	−0.625379	+	0.780321i	$0.715056\pi$
$60$	−0.0475870	−	0.223102i	−0.00614345	−	0.0288024i
$61$	9.76143	+	4.45790i	1.24982	+	0.570775i	0.926778	−	0.375609i	$-0.122566\pi$
$61$	9.76143	+	4.45790i	1.24982	+	0.570775i	0.323045	+	0.946384i	$0.395294\pi$
$62$	1.38065	+	6.34673i	0.175342	+	0.806036i
$63$	5.78761	+	3.16027i	0.729170	+	0.398157i
$64$	−0.755750	+	0.654861i	−0.0944687	+	0.0818576i
$65$	−2.22816	−	3.00175i	−0.276370	−	0.372322i
$66$	−0.104662	+	0.0477974i	−0.0128830	+	0.00588346i
$67$	−4.04125	−	5.39848i	−0.493718	−	0.659529i	0.482608	−	0.875837i	$-0.339690\pi$
$67$	−4.04125	−	5.39848i	−0.493718	−	0.659529i	−0.976325	+	0.216307i	$0.930599\pi$
$68$	2.28779	+	2.28779i	0.277435	+	0.277435i
$69$	0.453139	−	0.184513i	0.0545515	−	0.0222127i
$70$	0.682131	+	4.88475i	0.0815302	+	0.583840i
$71$	2.33948	−	16.2714i	0.277645	−	1.93107i	−0.0791062	−	0.996866i	$-0.525207\pi$
$71$	2.33948	−	16.2714i	0.277645	−	1.93107i	0.356751	−	0.934199i	$-0.383884\pi$
$72$	1.04476	−	2.80110i	0.123126	−	0.330113i
$73$	4.27777	−	2.33584i	0.500676	−	0.273390i	−0.209003	−	0.977915i	$-0.567022\pi$
$73$	4.27777	−	2.33584i	0.500676	−	0.273390i	0.709679	+	0.704525i	$0.248840\pi$
$74$	−1.08865	−	1.25637i	−0.126553	−	0.146050i
$75$	−0.112464	+	0.497541i	−0.0129862	+	0.0574511i
$76$	−2.53396	+	3.94291i	−0.290665	+	0.452283i
$77$	2.33083	−	0.869353i	0.265622	−	0.0990720i
$78$	0.0121675	+	0.170124i	0.00137770	+	0.0192628i
$79$	−10.1145	+	6.50021i	−1.13797	+	0.731331i	−0.967209	−	0.253981i	$-0.918260\pi$
$79$	−10.1145	+	6.50021i	−1.13797	+	0.731331i	−0.170764	+	0.985312i	$0.554624\pi$
$80$	2.14803	−	0.621275i	0.240157	−	0.0694606i
$81$	1.26752	+	8.81578i	0.140835	+	0.979531i
$82$	−6.77144	−	1.47304i	−0.747780	−	0.162670i
$83$	−0.799860	+	0.0572071i	−0.0877961	+	0.00627930i	−0.115168	−	0.993346i	$-0.536741\pi$
$83$	−0.799860	+	0.0572071i	−0.0877961	+	0.00627930i	0.0273720	+	0.999625i	$0.491286\pi$
$84$	0.0934789	−	0.204690i	0.0101994	−	0.0223335i
$85$	−2.50076	−	6.78867i	−0.271245	−	0.736335i
$86$	0.169057	+	0.575756i	0.0182299	+	0.0620853i
$87$	0.0172316	−	0.240930i	0.00184743	−	0.0258304i
$88$	−0.540510	−	0.989870i	−0.0576185	−	0.105520i
$89$	−4.52396	−	9.90608i	−0.479538	−	1.05004i	−0.982590	−	0.185786i	$-0.940517\pi$
$89$	−4.52396	−	9.90608i	−0.479538	−	1.05004i	0.503052	−	0.864256i	$-0.332211\pi$
$90$	−4.74607	+	4.70777i	−0.500280	+	0.496242i
$91$		−	3.68762i		−	0.386567i
$92$	2.12088	+	4.30138i	0.221117	+	0.448450i
$93$	−0.468549	+	0.468549i	−0.0485863	+	0.0485863i
$94$	−3.18388	−	0.457773i	−0.328392	−	0.0472157i
$95$	8.83951	−	5.63033i	0.906915	−	0.577660i
$96$	−0.0978863	−	0.0287420i	−0.00999047	−	0.00293347i
$97$	−11.3160	−	0.809339i	−1.14897	−	0.0821759i	−0.516166	−	0.856488i	$-0.672641\pi$
$97$	−11.3160	−	0.809339i	−1.14897	−	0.0821759i	−0.632803	+	0.774313i	$0.718096\pi$
$98$	1.02309	−	1.87365i	0.103348	−	0.189267i
$99$	2.83649	+	1.82290i	0.285078	+	0.183208i
$100$	−4.94318	−	0.751658i	−0.494318	−	0.0751658i
$101$	−7.54744	+	8.71021i	−0.750999	+	0.866699i	−0.994665	−	0.103161i	$-0.967104\pi$
$101$	−7.54744	+	8.71021i	−0.750999	+	0.866699i	0.243666	+	0.969859i	$0.421650\pi$
$102$	−0.0701623	+	0.322531i	−0.00694710	+	0.0319353i
$103$	−0.591805	+	0.790560i	−0.0583123	+	0.0778961i	−0.828749	−	0.559620i	$-0.810947\pi$
$103$	−0.591805	+	0.790560i	−0.0583123	+	0.0778961i	0.770437	+	0.637516i	$0.220038\pi$
$104$	−1.65482	+	0.237928i	−0.162269	+	0.0233307i
$105$	−0.381604	+	0.327964i	−0.0372407	+	0.0320060i
$106$	−8.02165	−	6.95080i	−0.779132	−	0.675122i
$107$	−4.53460	−	12.1577i	−0.438377	−	1.17533i	−0.948930	−	0.315487i	$-0.897832\pi$
$107$	−4.53460	−	12.1577i	−0.438377	−	1.17533i	0.510553	−	0.859846i	$-0.329441\pi$
$108$	0.597086	−	0.129888i	0.0574546	−	0.0124985i
$109$	3.13274	−	0.919857i	0.300062	−	0.0881063i	−0.128236	−	0.991744i	$-0.540931\pi$
$109$	3.13274	−	0.919857i	0.300062	−	0.0881063i	0.428298	+	0.903637i	$0.359113\pi$
$110$	0.169716	+	2.51618i	0.0161818	+	0.239908i
$111$	0.0477810	−	0.162727i	0.00453518	−	0.0154454i
$112$	2.06665	+	0.770822i	0.195280	+	0.0728358i
$113$	−12.5434	+	9.38988i	−1.17998	+	0.883325i	−0.995045	−	0.0994244i	$-0.968300\pi$
$113$	−12.5434	+	9.38988i	−1.17998	+	0.883325i	−0.184940	+	0.982750i	$0.559209\pi$
$114$	−0.478157			−0.0447835
$115$	−0.274890	−	10.7203i	−0.0256337	−	0.999671i
$116$	2.36766			0.219831
$117$	4.00120	−	2.99526i	0.369911	−	0.276912i
$118$	−4.58213	−	1.70905i	−0.421819	−	0.157330i
$119$	2.01057	−	6.84738i	0.184309	−	0.627698i
$120$	0.171795	+	0.150085i	0.0156827	+	0.0137008i
$121$	−9.33395	+	2.74070i	−0.848541	+	0.249154i
$122$	−10.4859	+	2.28108i	−0.949353	+	0.206519i
$123$	−0.247061	−	0.662395i	−0.0222767	−	0.0597262i
$124$	−4.90872	−	4.25343i	−0.440816	−	0.381969i
$125$	9.33133	+	6.15843i	0.834620	+	0.550827i
$126$	−6.52710	+	0.938455i	−0.581480	+	0.0836042i
$127$	2.11753	−	2.82869i	0.187900	−	0.251005i	−0.696692	−	0.717370i	$-0.745346\pi$
$127$	2.11753	−	2.82869i	0.187900	−	0.251005i	0.884593	+	0.466365i	$0.154437\pi$
$128$	0.212565	−	0.977147i	0.0187883	−	0.0863684i
$129$	−0.0400890	+	0.0462652i	−0.00352964	+	0.00407342i
$130$	3.58262	+	1.06774i	0.314217	+	0.0936469i
$131$	−5.34433	−	3.43459i	−0.466936	−	0.300082i	0.285936	−	0.958249i	$-0.407696\pi$
$131$	−5.34433	−	3.43459i	−0.466936	−	0.300082i	−0.752872	+	0.658167i	$0.771332\pi$
$132$	0.0551421	−	0.100985i	0.00479951	−	0.00878964i
$133$	10.3118	+	0.737513i	0.894145	+	0.0639505i
$134$	6.47038	+	1.89987i	0.558956	+	0.164124i
$135$	−1.33394	−	0.295846i	−0.114807	−	0.0254624i
$136$	−3.20249	−	0.460449i	−0.274611	−	0.0394832i
$137$	−9.71501	+	9.71501i	−0.830009	+	0.830009i	−0.987518	−	0.157508i	$-0.949654\pi$
$137$	−9.71501	+	9.71501i	−0.830009	+	0.830009i	0.157508	+	0.987518i	$0.449654\pi$
$138$	−0.252182	+	0.419266i	−0.0214672	+	0.0356903i
$139$			16.6790i			1.41469i	0.706868	+	0.707345i	$0.250107\pi$
$139$			16.6790i			1.41469i	−0.706868	+	0.707345i	$0.749893\pi$
$140$	−3.47340	−	3.50166i	−0.293556	−	0.295944i
$141$	−0.136321	−	0.298501i	−0.0114803	−	0.0251383i
$142$	7.87826	+	14.4280i	0.661129	+	1.21077i
$143$	0.134513	−	1.88074i	0.0112486	−	0.157275i
$144$	0.842265	+	2.86849i	0.0701888	+	0.239041i
$145$	−4.80686	−	2.21880i	−0.399188	−	0.184261i
$146$	−2.02472	+	4.43351i	−0.167567	+	0.366920i
$147$	0.217232	−	0.0155368i	0.0179170	−	0.00128145i
$148$	1.62442	+	0.353371i	0.133527	+	0.0290469i
$149$	1.23469	+	8.58745i	0.101150	+	0.703511i	0.975785	+	0.218730i	$0.0701915\pi$
$149$	1.23469	+	8.58745i	0.101150	+	0.703511i	−0.874636	+	0.484781i	$0.838899\pi$
$150$	−0.208133	−	0.465699i	−0.0169940	−	0.0380242i
$151$	−5.13520	+	3.30019i	−0.417897	+	0.268566i	−0.732647	−	0.680608i	$-0.761716\pi$
$151$	−5.13520	+	3.30019i	−0.417897	+	0.268566i	0.314750	+	0.949174i	$0.398079\pi$
$152$	−0.334363	−	4.67501i	−0.0271204	−	0.379193i
$153$	9.06274	−	3.38023i	0.732679	−	0.273275i
$154$	−1.34494	+	2.09277i	−0.108378	+	0.168640i
$155$	5.97975	+	13.2355i	0.480305	+	1.06310i
$156$	−0.111692	−	0.128900i	−0.00894254	−	0.0103202i
$157$	10.7161	−	5.85144i	0.855239	−	0.466996i	0.00910036	−	0.999959i	$-0.497103\pi$
$157$	10.7161	−	5.85144i	0.855239	−	0.466996i	0.846139	+	0.532963i	$0.178921\pi$
$158$	4.20166	−	11.2651i	0.334266	−	0.896203i
$159$	0.154105	−	1.07182i	0.0122213	−	0.0850010i
$160$	−1.34727	+	1.78462i	−0.106511	+	0.141087i
$161$	6.08516	−	8.65280i	0.479578	−	0.681936i
$162$	−6.29780	−	6.29780i	−0.494802	−	0.494802i
$163$	−12.6972	−	16.9615i	−0.994524	−	1.32853i	−0.944050	−	0.329803i	$-0.893018\pi$
$163$	−12.6972	−	16.9615i	−0.994524	−	1.32853i	−0.0504741	−	0.998725i	$-0.516073\pi$
$164$	6.30357	−	2.87875i	0.492226	−	0.224792i
$165$	−0.206587	+	0.153347i	−0.0160828	+	0.0119380i
$166$	0.606038	−	0.525135i	0.0470377	−	0.0407584i
$167$	−15.8574	−	8.65878i	−1.22708	−	0.670037i	−0.270842	−	0.962624i	$-0.587302\pi$
$167$	−15.8574	−	8.65878i	−1.22708	−	0.670037i	−0.956239	+	0.292587i	$0.905484\pi$
$168$	0.0478326	+	0.219883i	0.00369036	+	0.0169643i
$169$	9.28275	+	4.23929i	0.714058	+	0.326099i
$170$	6.07026	+	3.93596i	0.465568	+	0.301875i
$171$	7.57550	+	11.7877i	0.579313	+	0.901428i
$172$	−0.480375	−	0.359604i	−0.0366282	−	0.0274196i
$173$	−9.65695	−	7.22910i	−0.734204	−	0.549618i	0.165452	−	0.986218i	$-0.447092\pi$
$173$	−9.65695	−	7.22910i	−0.734204	−	0.549618i	−0.899656	+	0.436600i	$0.856183\pi$
$174$	0.130589	+	0.203201i	0.00989994	+	0.0154046i
$175$	3.77024	+	10.3642i	0.285004	+	0.783457i
$176$	1.02591	+	0.468516i	0.0773307	+	0.0353157i
$177$	−0.106053	−	0.487518i	−0.00797144	−	0.0366441i
$178$	9.55811	+	5.21912i	0.716410	+	0.391190i
$179$	1.07638	−	0.932693i	0.0804528	−	0.0697127i	−0.613706	−	0.789535i	$-0.710322\pi$
$179$	1.07638	−	0.932693i	0.0804528	−	0.0697127i	0.694159	+	0.719822i	$0.255777\pi$
$180$	0.978169	−	6.61298i	0.0729084	−	0.492902i
$181$	18.4787	−	8.43894i	1.37351	−	0.627261i	0.414349	−	0.910118i	$-0.364009\pi$
$181$	18.4787	−	8.43894i	1.37351	−	0.627261i	0.959162	+	0.282857i	$0.0912822\pi$
$182$	2.20991	+	2.95209i	0.163809	+	0.218823i
$183$	−0.774128	−	0.774128i	−0.0572252	−	0.0572252i
$184$	−4.27557	−	2.17244i	−0.315199	−	0.160154i
$185$	−2.96677	−	2.23971i	−0.218122	−	0.164667i
$186$	0.0943019	−	0.655884i	0.00691455	−	0.0480917i
$187$	1.27519	−	3.41893i	0.0932514	−	0.250017i
$188$	2.82316	−	1.54156i	0.205900	−	0.112430i
$189$	−0.882627	−	1.01861i	−0.0642017	−	0.0740927i
$190$	−3.70226	+	9.80463i	−0.268590	+	0.711303i
$191$	−9.42103	+	14.6594i	−0.681682	+	1.06072i	0.312173	+	0.950025i	$0.398943\pi$
$191$	−9.42103	+	14.6594i	−0.681682	+	1.06072i	−0.993855	+	0.110692i	$0.964693\pi$
$192$	0.0955864	−	0.0356519i	0.00689836	−	0.00257295i
$193$	−0.327169	−	4.57441i	−0.0235501	−	0.329274i	−0.995546	−	0.0942761i	$-0.969946\pi$
$193$	−0.327169	−	4.57441i	−0.0235501	−	0.329274i	0.971996	−	0.234997i	$-0.0755082\pi$
$194$	9.54397	−	6.13354i	0.685217	−	0.440362i
$195$	0.105964	+	0.366365i	0.00758823	+	0.0262359i
$196$	0.303811	+	2.11305i	0.0217008	+	0.150932i
$197$	13.3734	+	2.90921i	0.952817	+	0.207273i	0.661998	−	0.749505i	$-0.269709\pi$
$197$	13.3734	+	2.90921i	0.952817	+	0.207273i	0.290819	+	0.956778i	$0.406072\pi$
$198$	−3.36315	+	0.240537i	−0.239009	+	0.0170942i
$199$	−4.08045	+	8.93493i	−0.289255	+	0.633381i	−0.997351	−	0.0727355i	$-0.976827\pi$
$199$	−4.08045	+	8.93493i	−0.289255	+	0.633381i	0.708096	+	0.706116i	$0.249554\pi$
$200$	4.40767	−	2.36060i	0.311669	−	0.166920i
$201$	0.193823	+	0.660100i	0.0136712	+	0.0465598i
$202$	0.822203	−	11.4959i	0.0578500	−	0.808849i
$203$	−2.50283	−	4.58359i	−0.175664	−	0.321705i
$204$	−0.137118	−	0.300246i	−0.00960016	−	0.0210214i
$205$	−15.4954	−	0.0627873i	−1.08225	−	0.00438526i
$206$		−	0.987531i		−	0.0688046i
$207$	14.3313	−	0.425598i	0.996092	−	0.0295811i
$208$	1.18217	−	1.18217i	0.0819687	−	0.0819687i
$209$	5.23226	+	0.752286i	0.361923	+	0.0520367i
$210$	0.108948	−	0.491235i	0.00751814	−	0.0338985i
$211$	16.3865	+	4.81152i	1.12809	+	0.331239i	0.791959	−	0.610575i	$-0.209062\pi$
$211$	16.3865	+	4.81152i	1.12809	+	0.331239i	0.336136	+	0.941813i	$0.390880\pi$
$212$	10.5871	+	0.757206i	0.727127	+	0.0520051i
$213$	−0.803730	+	1.47192i	−0.0550707	+	0.100854i
$214$	10.9160	+	7.01529i	0.746202	+	0.479555i
$215$	0.638270	+	1.18025i	0.0435296	+	0.0804923i
$216$	−0.400153	+	0.461801i	−0.0272270	+	0.0314216i
$217$	−3.04533	+	13.9991i	−0.206730	+	0.950324i
$218$	−1.95664	+	2.61377i	−0.132520	+	0.177027i
$219$	−0.492174	+	0.0707640i	−0.0332581	+	0.00478179i
$220$	−1.64376	−	1.91260i	−0.110822	−	0.128947i
$221$	−4.08793	−	3.54221i	−0.274984	−	0.238275i
$222$	0.0592681	+	0.158904i	0.00397782	+	0.0106649i
$223$	−14.9386	+	3.24969i	−1.00036	+	0.217615i	−0.682786	−	0.730618i	$-0.739232\pi$
$223$	−14.9386	+	3.24969i	−1.00036	+	0.217615i	−0.317574	+	0.948233i	$0.602868\pi$
$224$	−2.11638	+	0.621424i	−0.141406	+	0.0415207i
$225$	−8.18312	+	12.5091i	−0.545541	+	0.833941i
$226$	4.41437	−	15.0340i	0.293640	−	1.00004i
$227$	23.7705	+	8.86592i	1.57770	+	0.588452i	0.977414	−	0.211333i	$-0.0677806\pi$
$227$	23.7705	+	8.86592i	1.57770	+	0.588452i	0.600286	+	0.799785i	$0.295053\pi$
$228$	0.382784	−	0.286549i	0.0253505	−	0.0189772i
$229$	12.7929			0.845379			0.422689	−	0.906275i	$-0.361086\pi$
$229$	12.7929			0.845379			0.422689	+	0.906275i	$0.361086\pi$
$230$	6.64449	+	8.41729i	0.438124	+	0.555020i
$231$	−0.253789			−0.0166981
$232$	−1.89541	+	1.41888i	−0.124440	+	0.0931542i
$233$	−24.8335	−	9.26242i	−1.62690	−	0.606801i	−0.640032	−	0.768349i	$-0.721079\pi$
$233$	−24.8335	−	9.26242i	−1.62690	−	0.606801i	−0.986865	+	0.161548i	$0.948351\pi$
$234$	−1.40813	+	4.79566i	−0.0920525	+	0.313502i
$235$	−7.17628	+	0.484039i	−0.468129	+	0.0315752i
$236$	4.69238	−	1.37781i	0.305448	−	0.0896875i
$237$	1.19856	−	0.260730i	0.0778546	−	0.0169362i
$238$	2.49394	+	6.68650i	0.161658	+	0.433421i
$239$	0.0765798	+	0.0663568i	0.00495354	+	0.00429226i	0.657334	−	0.753599i	$-0.271684\pi$
$239$	0.0765798	+	0.0663568i	0.00495354	+	0.00429226i	−0.652380	+	0.757892i	$0.726230\pi$
$240$	−0.227472	−	0.0171958i	−0.0146832	−	0.00110998i
$241$	9.83398	−	1.41391i	0.633462	−	0.0910781i	0.181899	−	0.983317i	$-0.441776\pi$
$241$	9.83398	−	1.41391i	0.633462	−	0.0910781i	0.451563	+	0.892239i	$0.350867\pi$
$242$	5.82978	−	7.78767i	0.374752	−	0.500610i
$243$	0.582806	−	2.67912i	0.0373870	−	0.171865i
$244$	7.02743	−	8.11009i	0.449885	−	0.519195i
$245$	1.36340	−	4.57466i	0.0871045	−	0.292264i
$246$	0.594741	+	0.382217i	0.0379193	+	0.0243693i
$247$	3.75531	−	6.87734i	0.238945	−	0.437595i
$248$	6.47862	+	0.463360i	0.411393	+	0.0294234i
$249$	0.0784953	+	0.0230483i	0.00497444	+	0.00146063i
$250$	−11.1607	+	0.661980i	−0.705866	+	0.0418673i
$251$	−17.7047	−	2.54555i	−1.11751	−	0.160674i	−0.441285	−	0.897367i	$-0.645477\pi$
$251$	−17.7047	−	2.54555i	−1.11751	−	0.160674i	−0.676227	+	0.736693i	$0.736386\pi$
$252$	4.66282	−	4.66282i	0.293730	−	0.293730i
$253$	3.41915	−	4.19109i	0.214960	−	0.263492i
$254$			3.53347i			0.221710i
$255$	−0.00299062	+	0.738062i	−0.000187280	+	0.0462192i
$256$	0.415415	+	0.909632i	0.0259634	+	0.0568520i
$257$	8.56579	+	15.6871i	0.534320	+	0.978533i	0.995815	+	0.0913907i	$0.0291312\pi$
$257$	8.56579	+	15.6871i	0.534320	+	0.978533i	−0.461496	+	0.887143i	$0.652687\pi$
$258$	0.00436721	−	0.0610616i	0.000271891	−	0.00380153i
$259$	−1.03306	−	3.51829i	−0.0641915	−	0.218616i
$260$	−3.50791	+	1.29221i	−0.217551	+	0.0801398i
$261$	2.94044	−	6.43867i	0.182009	−	0.398544i
$262$	6.33663	−	0.453205i	0.391478	−	0.0279991i
$263$	15.4896	+	3.36956i	0.955129	+	0.207776i	0.663014	−	0.748607i	$-0.269277\pi$
$263$	15.4896	+	3.36956i	0.955129	+	0.207776i	0.292116	+	0.956383i	$0.405641\pi$
$264$	0.0163747	+	0.113888i	0.00100779	+	0.00700934i
$265$	−20.7846	−	11.4588i	−1.27679	−	0.703909i
$266$	−8.69698	+	5.58921i	−0.533246	+	0.342697i
$267$	0.0792582	+	1.10817i	0.00485052	+	0.0678192i
$268$	−6.31836	+	2.35663i	−0.385955	+	0.143954i
$269$	16.4524	−	25.6005i	1.00312	−	1.56089i	0.187531	−	0.982259i	$-0.439952\pi$
$269$	16.4524	−	25.6005i	1.00312	−	1.56089i	0.815591	−	0.578629i	$-0.196412\pi$
$270$	1.24517	−	0.562562i	0.0757784	−	0.0342364i
$271$	2.88884	+	3.33390i	0.175485	+	0.202520i	0.836678	−	0.547696i	$-0.184495\pi$
$271$	2.88884	+	3.33390i	0.175485	+	0.202520i	−0.661193	+	0.750216i	$0.729949\pi$
$272$	2.83966	−	1.55057i	0.172180	−	0.0940174i
$273$	−0.131471	+	0.352486i	−0.00795696	+	0.0213334i
$274$	1.95528	−	13.5993i	0.118123	−	0.821561i
$275$	1.54483	+	5.42341i	0.0931566	+	0.327044i
$276$	−0.0493747	−	0.486767i	−0.00297201	−	0.0292999i
$277$	−11.3246	−	11.3246i	−0.680431	−	0.680431i	0.279666	−	0.960097i	$-0.409776\pi$
$277$	−11.3246	−	11.3246i	−0.680431	−	0.680431i	−0.960097	+	0.279666i	$0.909776\pi$
$278$	−9.99533	−	13.3522i	−0.599480	−	0.800811i
$279$	−17.6631	+	8.06649i	−1.05746	+	0.482928i
$280$	4.87906	+	0.721694i	0.291580	+	0.0431295i
$281$	−6.56747	+	5.69075i	−0.391782	+	0.339481i	−0.828371	−	0.560180i	$-0.810732\pi$
$281$	−6.56747	+	5.69075i	−0.391782	+	0.339481i	0.436589	+	0.899661i	$0.356187\pi$
$282$	0.288015	+	0.157268i	0.0171511	+	0.00936518i
$283$	5.07892	+	23.3474i	0.301911	+	1.38786i	0.838906	+	0.544276i	$0.183195\pi$
$283$	5.07892	+	23.3474i	0.301911	+	1.38786i	−0.536996	+	0.843585i	$0.680441\pi$
$284$	−14.9532	−	6.82891i	−0.887311	−	0.405221i
$285$	−1.04567	+	0.223038i	−0.0619401	+	0.0132116i
$286$	1.01940	+	1.58622i	0.0602785	+	0.0937952i
$287$	−12.2365	−	9.16011i	−0.722296	−	0.540704i
$288$	−2.39329	−	1.79160i	−0.141026	−	0.105571i
$289$	3.53148	+	5.49509i	0.207734	+	0.323241i
$290$	5.17777	−	1.10440i	0.304049	−	0.0648526i
$291$	1.05281	+	0.480800i	0.0617165	+	0.0281850i
$292$	−1.03604	−	4.76258i	−0.0606294	−	0.278709i
$293$	−20.4728	−	11.1790i	−1.19604	−	0.653085i	−0.247233	−	0.968956i	$-0.579521\pi$
$293$	−20.4728	−	11.1790i	−1.19604	−	0.653085i	−0.948802	+	0.315871i	$0.897703\pi$
$294$	−0.164593	+	0.142620i	−0.00959924	+	0.00831779i
$295$	−10.8177	−	1.60012i	−0.629833	−	0.0931626i
$296$	−1.51218	+	0.690591i	−0.0878939	+	0.0401398i
$297$	−0.412998	−	0.551700i	−0.0239646	−	0.0320129i
$298$	−6.13468	−	6.13468i	−0.355373	−	0.355373i
$299$	−4.04975	−	6.91994i	−0.234203	−	0.400191i
$300$	0.445703	+	0.248082i	0.0257327	+	0.0143230i
$301$	−0.188364	+	1.31010i	−0.0108571	+	0.0755129i
$302$	2.13321	−	5.71935i	0.122752	−	0.329112i
$303$	1.03197	−	0.563497i	0.0592850	−	0.0323721i
$304$	3.06930	+	3.54216i	0.176036	+	0.203157i
$305$	−21.8674	+	9.87963i	−1.25213	+	0.565706i
$306$	−5.22940	+	8.13711i	−0.298945	+	0.465168i
$307$	23.2678	−	8.67843i	1.32796	−	0.495304i	0.417417	−	0.908715i	$-0.362935\pi$
$307$	23.2678	−	8.67843i	1.32796	−	0.495304i	0.910545	+	0.413411i	$0.135663\pi$
$308$	−0.177469	−	2.48134i	−0.0101122	−	0.141387i
$309$	0.0847535	−	0.0544678i	0.00482146	−	0.00309856i
$310$	−12.7188	−	7.01203i	−0.722378	−	0.398257i
$311$	1.95691	+	13.6106i	0.110966	+	0.771789i	0.966983	+	0.254840i	$0.0820230\pi$
$311$	1.95691	+	13.6106i	0.110966	+	0.771789i	−0.856017	+	0.516948i	$0.827068\pi$
$312$	0.166661	+	0.0362549i	0.00943533	+	0.00205253i
$313$	5.10029	−	0.364780i	0.288285	−	0.0206186i	0.0735523	−	0.997291i	$-0.476566\pi$
$313$	5.10029	−	0.364780i	0.288285	−	0.0206186i	0.214733	+	0.976673i	$0.431112\pi$
$314$	−5.07205	+	11.1062i	−0.286233	+	0.626762i
$315$	−13.8362	+	5.09687i	−0.779582	+	0.287176i
$316$	3.38732	+	11.5361i	0.190551	+	0.648958i
$317$	−1.52705	+	21.3509i	−0.0857675	+	1.19919i	0.754235	+	0.656604i	$0.228008\pi$
$317$	−1.52705	+	21.3509i	−0.0857675	+	1.19919i	−0.840003	+	0.542582i	$0.817447\pi$
$318$	0.518952	+	0.950389i	0.0291014	+	0.0532952i
$319$	−1.10929	−	2.42900i	−0.0621080	−	0.135998i
$320$	0.00906047	−	2.23605i	0.000506496	−	0.124999i
$321$			1.32378i			0.0738863i
$322$	0.314007	+	10.5736i	0.0174989	+	0.589245i
$323$	10.7228	−	10.7228i	0.596631	−	0.596631i
$324$	8.81578	+	1.26752i	0.489766	+	0.0704177i
$325$	8.33279	+	0.663888i	0.462220	+	0.0368259i
$326$	20.3293	+	5.96923i	1.12594	+	0.330605i
$327$	−0.332242	−	0.0237624i	−0.0183730	−	0.00131407i
$328$	−3.32110	+	6.08215i	−0.183377	+	0.335830i
$329$	−5.96868	−	3.83583i	−0.329064	−	0.211476i
$330$	0.0734840	−	0.246563i	0.00404516	−	0.0135729i
$331$	−15.4749	+	17.8590i	−0.850578	+	0.981619i	−0.999974	−	0.00715854i	$-0.997721\pi$
$331$	−15.4749	+	17.8590i	−0.850578	+	0.981619i	0.149397	+	0.988777i	$0.452267\pi$
$332$	−0.170457	+	0.783578i	−0.00935504	+	0.0430044i
$333$	2.97837	−	3.97864i	0.163214	−	0.218028i
$334$	17.8835	−	2.57126i	0.978541	−	0.140693i
$335$	15.0361	+	1.13666i	0.821510	+	0.0621023i
$336$	−0.170063	−	0.147360i	−0.00927768	−	0.00803916i
$337$	−4.20532	−	11.2749i	−0.229079	−	0.614183i	0.770655	−	0.637252i	$-0.219929\pi$
$337$	−4.20532	−	11.2749i	−0.229079	−	0.614183i	−0.999734	+	0.0230688i	$0.992656\pi$
$338$	−9.97174	+	2.16922i	−0.542391	+	0.117990i
$339$	1.53375	−	0.450349i	0.0833017	−	0.0244596i
$340$	−7.21823	+	0.486869i	−0.391463	+	0.0264042i
$341$	−2.06381	+	7.02869i	−0.111762	+	0.380625i
$342$	−13.1286	−	4.89672i	−0.709914	−	0.264784i
$343$	16.1300	−	12.0747i	0.870935	−	0.651974i
$344$	0.600062			0.0323532
$345$	−0.355923	+	1.03451i	−0.0191622	+	0.0556963i
$346$	12.0630			0.648512
$347$	−9.01385	+	6.74769i	−0.483889	+	0.362235i	−0.813198	−	0.581988i	$-0.802275\pi$
$347$	−9.01385	+	6.74769i	−0.483889	+	0.362235i	0.329309	+	0.944222i	$0.393184\pi$
$348$	−0.226316	−	0.0844114i	−0.0121318	−	0.00452493i
$349$	4.76146	−	16.2160i	0.254875	−	0.868025i	−0.728284	−	0.685275i	$-0.759682\pi$
$349$	4.76146	−	16.2160i	0.254875	−	0.868025i	0.983159	−	0.182750i	$-0.0584998\pi$
$350$	−9.22924	−	6.03751i	−0.493324	−	0.322719i
$351$	−0.980197	+	0.287812i	−0.0523191	+	0.0153623i
$352$	−1.10205	+	0.239737i	−0.0587396	+	0.0127780i
$353$	−6.65351	−	17.8388i	−0.354131	−	0.949461i	−0.984844	−	0.173445i	$-0.944510\pi$
$353$	−6.65351	−	17.8388i	−0.354131	−	0.949461i	0.630713	−	0.776016i	$-0.282763\pi$
$354$	0.377059	+	0.326723i	0.0200404	+	0.0173651i
$355$	23.9587	+	27.8773i	1.27160	+	1.47957i
$356$	−10.7794	+	1.54984i	−0.571305	+	0.0821413i
$357$	−0.436305	+	0.582836i	−0.0230917	+	0.0308469i
$358$	−0.302748	+	1.39171i	−0.0160008	+	0.0735543i
$359$	0.558635	−	0.644699i	0.0294836	−	0.0340259i	−0.740816	−	0.671708i	$-0.765561\pi$
$359$	0.558635	−	0.644699i	0.0294836	−	0.0340259i	0.770300	+	0.637682i	$0.220107\pi$
$360$	3.17995	+	5.88016i	0.167598	+	0.309911i
$361$	2.49643	+	1.60436i	0.131391	+	0.0844399i
$362$	−9.73569	+	17.8296i	−0.511697	+	0.937102i
$363$	0.989910	+	0.0707998i	0.0519568	+	0.00371602i
$364$	−3.53824	−	1.03892i	−0.185454	−	0.0544543i
$365$	−2.35978	+	10.6400i	−0.123516	+	0.556922i
$366$	1.08364	+	0.155804i	0.0566427	+	0.00814399i
$367$	−9.24101	+	9.24101i	−0.482377	+	0.482377i	−0.905890	−	0.423513i	$-0.860797\pi$
$367$	−9.24101	+	9.24101i	−0.482377	+	0.482377i	0.423513	+	0.905890i	$0.360797\pi$
$368$	4.72467	−	0.823128i	0.246290	−	0.0429085i
$369$		−	20.7173i		−	1.07850i
$370$	3.71724	+	0.0150622i	0.193250	+	0.000783048i
$371$	−9.72567	−	21.2962i	−0.504932	−	1.10565i
$372$	0.317564	+	0.581575i	0.0164649	+	0.0301533i
$373$	−2.50301	+	34.9967i	−0.129601	+	1.81206i	0.352357	+	0.935866i	$0.385380\pi$
$373$	−2.50301	+	34.9967i	−0.129601	+	1.81206i	−0.481958	+	0.876194i	$0.660074\pi$
$374$	1.02804	+	3.50119i	0.0531588	+	0.181042i
$375$	−0.672389	−	0.921342i	−0.0347220	−	0.0475779i
$376$	−1.33623	+	2.92594i	−0.0689109	+	0.150894i
$377$	−3.94825	+	0.282385i	−0.203345	+	0.0145436i
$378$	1.31701	+	0.286497i	0.0677396	+	0.0147358i
$379$	3.11584	+	21.6711i	0.160050	+	1.11317i	0.898535	+	0.438901i	$0.144632\pi$
$379$	3.11584	+	21.6711i	0.160050	+	1.11317i	−0.738485	+	0.674269i	$0.764459\pi$
$380$	−2.91188	−	10.0677i	−0.149376	−	0.516462i
$381$	−0.303255	+	0.194890i	−0.0155362	+	0.00998453i
$382$	−1.24313	−	17.3813i	−0.0636042	−	0.889303i
$383$	5.84911	−	2.18160i	0.298875	−	0.111475i	−0.195553	−	0.980693i	$-0.562650\pi$
$383$	5.84911	−	2.18160i	0.298875	−	0.111475i	0.494428	+	0.869218i	$0.335377\pi$
$384$	−0.0551555	+	0.0858236i	−0.00281464	+	0.00437967i
$385$	−1.96504	+	5.20397i	−0.100148	+	0.265219i
$386$	3.00326	+	3.46594i	0.152862	+	0.176412i
$387$	−1.57451	+	0.859745i	−0.0800366	+	0.0437033i
$388$	−3.96465	+	10.6296i	−0.201275	+	0.539638i
$389$	−1.17853	+	8.19687i	−0.0597539	+	0.415598i	0.937886	+	0.346942i	$0.112780\pi$
$389$	−1.17853	+	8.19687i	−0.0597539	+	0.415598i	−0.997640	+	0.0686555i	$0.978129\pi$
$390$	−0.304383	−	0.229789i	−0.0154130	−	0.0116358i
$391$	−3.74690	−	15.0574i	−0.189489	−	0.761484i
$392$	−1.50952	−	1.50952i	−0.0762421	−	0.0762421i
$393$	0.388396	+	0.518836i	0.0195920	+	0.0261718i
$394$	−12.4494	+	5.68545i	−0.627192	+	0.286429i
$395$	3.93387	−	26.5952i	0.197935	−	1.33815i
$396$	2.54819	−	2.20802i	0.128052	−	0.110957i
$397$	−13.6005	−	7.42646i	−0.682592	−	0.372723i	0.100234	−	0.994964i	$-0.468041\pi$
$397$	−13.6005	−	7.42646i	−0.682592	−	0.372723i	−0.782826	+	0.622241i	$0.786223\pi$
$398$	−2.08794	−	9.59811i	−0.104659	−	0.481110i
$399$	−0.959373	−	0.438131i	−0.0480287	−	0.0219340i
$400$	−2.11386	+	4.53118i	−0.105693	+	0.226559i
$401$	−21.1651	−	32.9335i	−1.05693	−	1.64462i	−0.705987	−	0.708225i	$-0.749496\pi$
$401$	−21.1651	−	32.9335i	−1.05693	−	1.64462i	−0.350946	−	0.936396i	$-0.614140\pi$
$402$	−0.550746	−	0.412283i	−0.0274687	−	0.0205628i
$403$	8.69298	+	6.50748i	0.433028	+	0.324161i
$404$	6.23103	+	9.69567i	0.310005	+	0.482378i
$405$	−16.7101	−	10.8349i	−0.830333	−	0.538389i
$406$	4.75046	+	2.16946i	0.235761	+	0.107669i
$407$	−0.398541	−	1.83207i	−0.0197550	−	0.0908121i
$408$	0.289699	+	0.158188i	0.0143422	+	0.00783145i
$409$	8.65340	−	7.49822i	0.427883	−	0.370763i	−0.414132	−	0.910217i	$-0.635915\pi$
$409$	8.65340	−	7.49822i	0.427883	−	0.370763i	0.842015	+	0.539454i	$0.181369\pi$
$410$	12.4423	−	9.23578i	0.614483	−	0.456123i
$411$	1.27498	−	0.582264i	0.0628902	−	0.0287210i
$412$	0.591805	+	0.790560i	0.0291562	+	0.0389481i
$413$	−7.62759	−	7.62759i	−0.375329	−	0.375329i
$414$	−11.2177	+	8.92911i	−0.551321	+	0.438842i
$415$	1.08038	−	1.43109i	0.0530337	−	0.0702496i
$416$	−0.237928	+	1.65482i	−0.0116654	+	0.0811343i
$417$	0.594636	−	1.59428i	0.0291195	−	0.0780723i
$418$	−4.63947	+	2.53334i	−0.226924	+	0.123910i
$419$	−8.25092	−	9.52207i	−0.403084	−	0.465184i	0.517526	−	0.855668i	$-0.326853\pi$
$419$	−8.25092	−	9.52207i	−0.403084	−	0.465184i	−0.920610	+	0.390484i	$0.872308\pi$
$420$	0.207169	+	0.458544i	0.0101088	+	0.0223747i
$421$	−3.97577	+	6.18642i	−0.193767	+	0.301508i	−0.924519	−	0.381135i	$-0.875533\pi$
$421$	−3.97577	+	6.18642i	−0.193767	+	0.301508i	0.730752	+	0.682643i	$0.239170\pi$
$422$	−16.0015	+	5.96826i	−0.778942	+	0.290530i
$423$	−0.686025	−	9.59188i	−0.0333557	−	0.466373i
$424$	−8.92921	+	5.73845i	−0.433641	+	0.278684i
$425$	15.1108	+	5.77597i	0.732983	+	0.280176i
$426$	−0.238671	−	1.65999i	−0.0115636	−	0.0804269i
$427$	−23.1291	−	5.03143i	−1.11930	−	0.243488i
$428$	−12.9428	+	0.925688i	−0.625614	+	0.0447448i
$429$	−0.0799096	+	0.174978i	−0.00385807	+	0.00844800i
$430$	−1.21826	−	0.562337i	−0.0587496	−	0.0271183i
$431$	0.855651	+	2.91408i	0.0412153	+	0.140366i	0.977530	−	0.210795i	$-0.0676052\pi$
$431$	0.855651	+	2.91408i	0.0412153	+	0.140366i	−0.936315	+	0.351161i	$0.885787\pi$
$432$	0.0435918	−	0.609494i	0.00209731	−	0.0293243i
$433$	−1.67438	−	3.06640i	−0.0804656	−	0.147362i	0.834348	−	0.551238i	$-0.185844\pi$
$433$	−1.67438	−	3.06640i	−0.0804656	−	0.147362i	−0.914814	+	0.403876i	$0.867663\pi$
$434$	−5.95146	−	13.0319i	−0.285679	−	0.625551i
$435$	0.380366	+	0.383461i	0.0182371	+	0.0183855i
$436$		−	3.26500i		−	0.156365i
$437$	20.1604	−	9.94045i	0.964401	−	0.475516i
$438$	0.351599	−	0.351599i	0.0168000	−	0.0168000i
$439$	23.3408	+	3.35591i	1.11400	+	0.160169i	0.674642	−	0.738145i	$-0.264298\pi$
$439$	23.3408	+	3.35591i	1.11400	+	0.160169i	0.439355	+	0.898313i	$0.355207\pi$
$440$	2.46207	+	0.546049i	0.117375	+	0.0260318i
$441$	6.12360	+	1.79805i	0.291600	+	0.0856214i
$442$	5.39533	+	0.385881i	0.256630	+	0.0183545i
$443$	2.12032	−	3.88308i	0.100740	−	0.184491i	−0.822448	−	0.568840i	$-0.807392\pi$
$443$	2.12032	−	3.88308i	0.100740	−	0.184491i	0.923188	+	0.384349i	$0.125574\pi$
$444$	−0.142674	−	0.0916912i	−0.00677102	−	0.00435147i
$445$	23.3369	+	6.95516i	1.10627	+	0.329706i
$446$	10.0115	−	11.5539i	0.474057	−	0.547091i
$447$	0.188139	−	0.864862i	0.00889868	−	0.0409066i
$448$	1.32184	−	1.76577i	0.0624511	−	0.0834250i
$449$	6.47668	−	0.931205i	0.305653	−	0.0439463i	0.0122183	−	0.999925i	$-0.496111\pi$
$449$	6.47668	−	0.931205i	0.305653	−	0.0439463i	0.293435	+	0.955979i	$0.405202\pi$
$450$	−0.945513	−	14.9180i	−0.0445719	−	0.703243i
$451$	−5.90665	−	5.11814i	−0.278133	−	0.241004i
$452$	5.47564	+	14.6807i	0.257552	+	0.690524i
$453$	0.608514	−	0.132374i	0.0285905	−	0.00621948i
$454$	−24.3424	+	7.14757i	−1.14244	+	0.335452i
$455$	6.20980	+	5.42503i	0.291120	+	0.254329i
$456$	−0.134712	+	0.458788i	−0.00630848	+	0.0214847i
$457$	31.6724	+	11.8132i	1.48157	+	0.552598i	0.954759	−	0.297382i	$-0.0961134\pi$
$457$	31.6724	+	11.8132i	1.48157	+	0.552598i	0.526815	+	0.849980i	$0.323386\pi$
$458$	−10.2412	+	7.66650i	−0.478542	+	0.358232i
$459$	−1.97701			−0.0922788
$460$	−10.3635	−	2.75650i	−0.483200	−	0.128522i
$461$	24.8118			1.15560			0.577800	−	0.816178i	$-0.303911\pi$
$461$	24.8118			1.15560			0.577800	+	0.816178i	$0.303911\pi$
$462$	0.203169	−	0.152090i	0.00945227	−	0.00707588i
$463$	36.7346	+	13.7013i	1.70720	+	0.636753i	0.997689	−	0.0679399i	$-0.0216426\pi$
$463$	36.7346	+	13.7013i	1.70720	+	0.636753i	0.709512	+	0.704693i	$0.248915\pi$
$464$	0.667046	−	2.27175i	0.0309668	−	0.105463i
$465$	−0.0997127	−	1.47832i	−0.00462407	−	0.0685556i
$466$	25.4310	−	7.46721i	1.17807	−	0.345912i
$467$	−4.57692	+	0.995648i	−0.211795	+	0.0460731i	−0.317211	−	0.948355i	$-0.602746\pi$
$467$	−4.57692	+	0.995648i	−0.211795	+	0.0460731i	0.105416	+	0.994428i	$0.466383\pi$
$468$	−1.74666	−	4.68298i	−0.0807395	−	0.216471i
$469$	11.2413	+	9.74065i	0.519076	+	0.449782i
$470$	5.45483	−	4.68807i	0.251613	−	0.216245i
$471$	−1.23293	+	0.177269i	−0.0568104	+	0.00816810i
$472$	−2.93075	+	3.91503i	−0.134899	+	0.180204i
$473$	−0.143857	+	0.661300i	−0.00661456	+	0.0304066i
$474$	−0.803244	+	0.926993i	−0.0368942	+	0.0425782i
$475$	−3.52298	+	23.1684i	−0.161646	+	1.06304i
$476$	−6.00357	−	3.85826i	−0.275173	−	0.176843i
$477$	15.2075	−	27.8505i	0.696306	−	1.27519i
$478$	−0.101071	−	0.00722877i	−0.00462290	−	0.000330636i
$479$	−2.93987	−	0.863224i	−0.134326	−	0.0394417i	0.213878	−	0.976860i	$-0.431390\pi$
$479$	−2.93987	−	0.863224i	−0.134326	−	0.0394417i	−0.348205	+	0.937419i	$0.613209\pi$
$480$	0.192406	−	0.122553i	0.00878207	−	0.00559374i
$481$	−2.75100	−	0.395534i	−0.125435	−	0.0180348i
$482$	−7.02518	+	7.02518i	−0.319988	+	0.319988i
$483$	−0.890147	+	0.610143i	−0.0405031	+	0.0277624i
$484$			9.72801i			0.442182i
$485$	18.0105	−	17.8651i	0.817813	−	0.811212i
$486$	1.13897	+	2.49401i	0.0516649	+	0.113130i
$487$	1.08789	+	1.99232i	0.0492971	+	0.0902809i	0.901166	−	0.433474i	$-0.142712\pi$
$487$	1.08789	+	1.99232i	0.0492971	+	0.0902809i	−0.851869	+	0.523755i	$0.824531\pi$
$488$	−0.765554	+	10.7038i	−0.0346550	+	0.484540i
$489$	0.608973	+	2.07397i	0.0275387	+	0.0937882i
$490$	1.65003	+	4.47926i	0.0745410	+	0.202352i
$491$	11.1037	−	24.3137i	0.501103	−	1.09726i	−0.475006	−	0.879983i	$-0.657554\pi$
$491$	11.1037	−	24.3137i	0.501103	−	1.09726i	0.976109	−	0.217280i	$-0.0697186\pi$
$492$	−0.705169	+	0.0504347i	−0.0317915	+	0.00227377i
$493$	−7.48531	−	1.62833i	−0.337121	−	0.0733363i
$494$	1.11515	+	7.75607i	0.0501732	+	0.348962i
$495$	−7.24259	+	2.09478i	−0.325530	+	0.0941532i
$496$	−5.46408	+	3.51155i	−0.245344	+	0.157673i
$497$	2.58672	+	36.1670i	0.116030	+	1.62231i
$498$	−0.0766511	+	0.0285894i	−0.00343482	+	0.00128112i
$499$	−9.02980	+	14.0506i	−0.404229	+	0.628993i	−0.982371	−	0.186943i	$-0.940142\pi$
$499$	−9.02980	+	14.0506i	−0.404229	+	0.628993i	0.578141	+	0.815937i	$0.303778\pi$
$500$	8.53791	−	7.21832i	0.381827	−	0.322813i
$501$	1.20705	+	1.39301i	0.0539269	+	0.0622350i
$502$	15.6989	−	8.57222i	0.700674	−	0.382597i
$503$	−10.9371	+	29.3234i	−0.487659	+	1.30747i	0.427369	+	0.904077i	$0.359440\pi$
$503$	−10.9371	+	29.3234i	−0.487659	+	1.30747i	−0.915029	+	0.403389i	$0.867832\pi$
$504$	−0.938455	+	6.52710i	−0.0418021	+	0.290740i
$505$	−3.56424	−	25.5236i	−0.158607	−	1.13579i
$506$	−0.225546	+	5.40416i	−0.0100267	+	0.240244i
$507$	−0.736166	−	0.736166i	−0.0326943	−	0.0326943i
$508$	−2.11753	−	2.82869i	−0.0939501	−	0.125503i
$509$	3.99298	−	1.82353i	0.176986	−	0.0808266i	−0.324952	−	0.945731i	$-0.605348\pi$
$509$	3.99298	−	1.82353i	0.176986	−	0.0808266i	0.501937	+	0.864904i	$0.332621\pi$
$510$	−0.439910	−	0.592641i	−0.0194795	−	0.0262426i
$511$	−8.12478	+	7.04016i	−0.359419	+	0.311438i
$512$	−0.877679	−	0.479249i	−0.0387883	−	0.0211800i
$513$	−0.608779	−	2.79851i	−0.0268783	−	0.123557i
$514$	−16.2582	−	7.42487i	−0.717118	−	0.327497i
$515$	−0.460637	−	2.15961i	−0.0202981	−	0.0951637i
$516$	0.0330967	+	0.0514995i	0.00145700	+	0.00226714i
$517$	−2.90420	−	2.17405i	−0.127726	−	0.0956148i
$518$	2.93544	+	2.19745i	0.128976	+	0.0965502i
$519$	0.665342	+	1.03529i	0.0292053	+	0.0454443i
$520$	2.03383	−	3.13668i	0.0891893	−	0.137553i
$521$	−29.3484	−	13.4029i	−1.28578	−	0.587194i	−0.348999	−	0.937123i	$-0.613478\pi$
$521$	−29.3484	−	13.4029i	−1.28578	−	0.587194i	−0.936776	+	0.349929i	$0.886206\pi$
$522$	1.50461	+	6.91656i	0.0658548	+	0.302730i
$523$	30.5193	+	16.6648i	1.33451	+	0.728700i	0.978591	−	0.205815i	$-0.0659846\pi$
$523$	30.5193	+	16.6648i	1.33451	+	0.728700i	0.355923	+	0.934515i	$0.384166\pi$
$524$	−4.80114	+	4.16021i	−0.209739	+	0.181740i
$525$	0.00911787	−	1.12509i	0.000397936	−	0.0491029i
$526$	−14.4194	+	6.58510i	−0.628714	+	0.287124i
$527$	12.5936	+	16.8231i	0.548586	+	0.732824i
$528$	−0.0813593	−	0.0813593i	−0.00354071	−	0.00354071i
$529$	1.91650	−	22.9200i	0.0833260	−	0.996522i
$530$	23.5059	−	3.28248i	1.02103	−	0.142582i
$531$	2.08072	−	14.4717i	0.0902955	−	0.628019i
$532$	3.61280	−	9.68630i	0.156635	−	0.419954i
$533$	−10.1684	+	5.55235i	−0.440441	+	0.240499i
$534$	−0.727554	−	0.839642i	−0.0314843	−	0.0363349i
$535$	27.1442	+	10.2498i	1.17355	+	0.443135i
$536$	3.64583	−	5.67303i	0.157476	−	0.245037i
$537$	−0.136140	+	0.0507776i	−0.00587487	+	0.00219122i
$538$	2.17095	+	30.3538i	0.0935961	+	1.30864i
$539$	2.02545	−	1.30168i	0.0872424	−	0.0560673i
$540$	−0.659676	+	1.19655i	−0.0283879	+	0.0514915i
$541$	3.62579	+	25.2180i	0.155885	+	1.08420i	0.906116	+	0.423029i	$0.139033\pi$
$541$	3.62579	+	25.2180i	0.155885	+	1.08420i	−0.750231	+	0.661176i	$0.770058\pi$
$542$	−4.31057	−	0.937708i	−0.185155	−	0.0402780i
$543$	−2.06718	+	0.147847i	−0.0887110	+	0.00634474i
$544$	−1.34404	+	2.94305i	−0.0576254	+	0.126182i
$545$	−3.05973	+	6.62866i	−0.131064	+	0.283941i
$546$	−0.105989	−	0.360967i	−0.00453593	−	0.0154480i
$547$	1.11377	−	15.5725i	0.0476213	−	0.665833i	−0.916443	−	0.400165i	$-0.868953\pi$
$547$	1.11377	−	15.5725i	0.0476213	−	0.665833i	0.964065	−	0.265668i	$-0.0855925\pi$
$548$	6.58445	+	12.0585i	0.281274	+	0.515114i
$549$	−13.3273	−	29.1827i	−0.568795	−	1.24549i
$550$	−4.48682	−	3.41588i	−0.191319	−	0.145654i
$551$		−	11.0971i		−	0.472752i
$552$	0.331235	+	0.360088i	0.0140983	+	0.0153264i
$553$	18.7523	−	18.7523i	0.797430	−	0.797430i
$554$	15.8524	+	2.27924i	0.673506	+	0.0968355i
$555$	0.203733	+	0.319857i	0.00864800	+	0.0135772i
$556$	16.0033	+	4.69901i	0.678693	+	0.199282i
$557$	7.02604	+	0.502513i	0.297703	+	0.0212921i	0.219392	−	0.975637i	$-0.429593\pi$
$557$	7.02604	+	0.502513i	0.297703	+	0.0212921i	0.0783112	+	0.996929i	$0.475047\pi$
$558$	9.30601	−	17.0427i	0.393955	−	0.721474i
$559$	0.843952	+	0.542375i	0.0356954	+	0.0229400i
$560$	−4.33839	+	2.34617i	−0.183330	+	0.0991437i
$561$	−0.243783	+	0.281340i	−0.0102925	+	0.0118782i
$562$	1.84719	−	8.49142i	0.0779192	−	0.358189i
$563$	9.63173	−	12.8665i	0.405929	−	0.542258i	−0.550266	−	0.834990i	$-0.685474\pi$
$563$	9.63173	−	12.8665i	0.405929	−	0.542258i	0.956194	+	0.292732i	$0.0945644\pi$
$564$	−0.324815	+	0.0467014i	−0.0136772	+	0.00196648i
$565$	2.64104	−	34.9365i	0.111109	−	1.46979i
$566$	−18.0575	−	15.6469i	−0.759012	−	0.657688i
$567$	−6.86528	−	18.4065i	−0.288315	−	0.773001i
$568$	16.0631	−	3.49431i	0.673992	−	0.146618i
$569$	−24.3942	+	7.16278i	−1.02266	+	0.300279i	−0.749722	−	0.661753i	$-0.769813\pi$
$569$	−24.3942	+	7.16278i	−1.02266	+	0.300279i	−0.272936	+	0.962032i	$0.587995\pi$
$570$	0.703440	−	0.805197i	0.0294638	−	0.0337260i
$571$	−8.89387	+	30.2897i	−0.372197	+	1.26759i	0.534272	+	0.845313i	$0.320586\pi$
$571$	−8.89387	+	30.2897i	−0.372197	+	1.26759i	−0.906468	+	0.422273i	$0.861232\pi$
$572$	−1.76666	−	0.658930i	−0.0738678	−	0.0275513i
$573$	1.42316	−	1.06536i	0.0594533	−	0.0445062i
$574$	15.2852			0.637994
$575$	18.4569	+	15.3082i	0.769707	+	0.638397i
$576$	2.98959			0.124566
$577$	−16.8939	+	12.6466i	−0.703302	+	0.526485i	−0.890016	−	0.455929i	$-0.849307\pi$
$577$	−16.8939	+	12.6466i	−0.703302	+	0.526485i	0.186714	+	0.982414i	$0.440216\pi$
$578$	−6.12018	−	2.28271i	−0.254566	−	0.0949482i
$579$	−0.131814	+	0.448916i	−0.00547799	+	0.0186563i
$580$	−3.48317	+	3.98704i	−0.144631	+	0.165553i
$581$	1.69713	−	0.498323i	0.0704088	−	0.0206739i
$582$	−1.13095	+	0.246022i	−0.0468792	+	0.0101980i
$583$	−4.18342	−	11.2162i	−0.173259	−	0.464526i
$584$	3.68349	+	3.19177i	0.152424	+	0.132076i
$585$	−0.842459	+	11.1443i	−0.0348314	+	0.460761i
$586$	23.0887	−	3.31965i	0.953784	−	0.137133i
$587$	−24.6189	+	32.8870i	−1.01613	+	1.35739i	−0.0835212	+	0.996506i	$0.526617\pi$
$587$	−24.6189	+	32.8870i	−1.01613	+	1.35739i	−0.932610	+	0.360886i	$0.882474\pi$
$588$	0.0462940	−	0.212810i	0.00190913	−	0.00877615i
$589$	−19.9356	+	23.0069i	−0.821433	+	0.947984i
$590$	9.61896	−	5.20186i	0.396006	−	0.214157i
$591$	−1.17460	−	0.754869i	−0.0483165	−	0.0310512i
$592$	0.796709	−	1.45906i	0.0327446	−	0.0599672i
$593$	29.1328	+	2.08362i	1.19634	+	0.0855640i	0.655258	−	0.755405i	$-0.272560\pi$
$593$	29.1328	+	2.08362i	1.19634	+	0.0855640i	0.541083	+	0.840969i	$0.318015\pi$
$594$	0.661243	+	0.194159i	0.0271311	+	0.00796642i
$595$	8.57286	+	13.4592i	0.351453	+	0.551775i
$596$	8.58745	+	1.23469i	0.351756	+	0.0505748i
$597$	0.708583	−	0.708583i	0.0290004	−	0.0290004i
$598$	7.38896	+	3.11278i	0.302157	+	0.127291i
$599$			29.8151i			1.21821i	0.793088	+	0.609107i	$0.208472\pi$
$599$			29.8151i			1.21821i	−0.793088	+	0.609107i	$0.791528\pi$
$600$	−0.505473	+	0.0684999i	−0.0206359	+	0.00279649i
$601$	−7.75785	−	16.9873i	−0.316449	−	0.692928i	0.682842	−	0.730566i	$-0.260744\pi$
$601$	−7.75785	−	16.9873i	−0.316449	−	0.692928i	−0.999291	+	0.0376385i	$0.988016\pi$
$602$	−0.634321	−	1.16167i	−0.0258530	−	0.0473462i
$603$	−1.43823	+	20.1091i	−0.0585692	+	0.818904i
$604$	1.71976	+	5.85696i	0.0699760	+	0.238316i
$605$	9.11641	−	19.7500i	0.370635	−	0.802951i
$606$	−0.488442	+	1.06954i	−0.0198416	+	0.0434470i
$607$	−26.9513	+	1.92760i	−1.09392	+	0.0782387i	−0.606617	−	0.794994i	$-0.707474\pi$
$607$	−26.9513	+	1.92760i	−1.09392	+	0.0782387i	−0.487303	+	0.873233i	$0.662019\pi$
$608$	−4.57984	−	0.996283i	−0.185737	−	0.0404046i
$609$	0.0758228	+	0.527359i	0.00307250	+	0.0213697i
$610$	11.5851	−	21.0137i	0.469069	−	0.850821i
$611$	−4.52398	+	2.90739i	−0.183021	+	0.117620i
$612$	−0.690035	−	9.64796i	−0.0278930	−	0.389995i
$613$	10.8601	−	4.05062i	0.438636	−	0.163603i	−0.120437	−	0.992721i	$-0.538430\pi$
$613$	10.8601	−	4.05062i	0.438636	−	0.163603i	0.559074	+	0.829118i	$0.311157\pi$
$614$	−13.4260	+	20.8913i	−0.541830	+	0.843104i
$615$	1.47891	+	0.558442i	0.0596354	+	0.0225185i
$616$	1.62908	+	1.88006i	0.0656375	+	0.0757498i
$617$	−17.4013	+	9.50181i	−0.700548	+	0.382528i	−0.789703	−	0.613489i	$-0.789765\pi$
$617$	−17.4013	+	9.50181i	−0.700548	+	0.382528i	0.0891546	+	0.996018i	$0.471583\pi$
$618$	−0.0352074	+	0.0943946i	−0.00141625	+	0.00379711i
$619$	6.34152	−	44.1062i	0.254887	−	1.77278i	−0.313079	−	0.949727i	$-0.601360\pi$
$619$	6.34152	−	44.1062i	0.254887	−	1.77278i	0.567966	−	0.823052i	$-0.307731\pi$
$620$	14.3841	−	2.00866i	0.577678	−	0.0806698i
$621$	−2.77492	−	0.942148i	−0.111354	−	0.0378071i
$622$	−9.72314	−	9.72314i	−0.389863	−	0.389863i
$623$	14.3951	+	19.2296i	0.576729	+	0.770419i
$624$	−0.155146	+	0.0708527i	−0.00621080	+	0.00283638i
$625$	−24.0983	+	6.65362i	−0.963933	+	0.266145i
$626$	−3.86439	+	3.34851i	−0.154452	+	0.133833i
$627$	−0.473313	−	0.258448i	−0.0189023	−	0.0103214i
$628$	−2.59534	−	11.9306i	−0.103565	−	0.476082i
$629$	−4.89256	−	2.23436i	−0.195079	−	0.0890896i
$630$	8.02201	−	12.3720i	0.319605	−	0.492911i
$631$	−15.3001	−	23.8075i	−0.609089	−	0.947760i	−0.999631	−	0.0271754i	$-0.991349\pi$
$631$	−15.3001	−	23.8075i	−0.609089	−	0.947760i	0.390542	−	0.920585i	$-0.372288\pi$
$632$	−9.62504	−	7.20521i	−0.382863	−	0.286608i
$633$	−1.39479	−	1.04413i	−0.0554379	−	0.0415003i
$634$	−11.5727	−	18.0074i	−0.459609	−	0.715166i
$635$	1.64820	+	7.72725i	0.0654067	+	0.306647i
$636$	−0.984989	−	0.449830i	−0.0390574	−	0.0178369i
$637$	−0.758647	−	3.48744i	−0.0300587	−	0.138178i
$638$	2.34367	+	1.27974i	0.0927868	+	0.0506654i
$639$	−37.1415	+	32.1833i	−1.46929	+	1.27315i
$640$	1.33276	+	1.79548i	0.0526820	+	0.0709726i
$641$	12.4330	−	5.67796i	0.491073	−	0.224266i	−0.154458	−	0.987999i	$-0.549363\pi$
$641$	12.4330	−	5.67796i	0.491073	−	0.224266i	0.645532	+	0.763734i	$0.276636\pi$
$642$	−0.793313	−	1.05974i	−0.0313096	−	0.0418247i
$643$	−16.8521	−	16.8521i	−0.664580	−	0.664580i	0.291876	−	0.956456i	$-0.405721\pi$
$643$	−16.8521	−	16.8521i	−0.664580	−	0.664580i	−0.956456	+	0.291876i	$0.905721\pi$
$644$	−6.58791	−	8.27644i	−0.259600	−	0.326138i
$645$	−0.0189318	−	0.135571i	−0.000745440	−	0.00533811i
$646$	−2.15810	+	15.0099i	−0.0849094	+	0.590558i
$647$	1.64499	−	4.41040i	0.0646714	−	0.173391i	−0.900594	−	0.434660i	$-0.856868\pi$
$647$	1.64499	−	4.41040i	0.0646714	−	0.173391i	0.965266	+	0.261270i	$0.0841412\pi$
$648$	−7.81699	+	4.26840i	−0.307081	+	0.167679i
$649$	−3.61196	−	4.16842i	−0.141782	−	0.163625i
$650$	−7.06860	+	4.46219i	−0.277253	+	0.175021i
$651$	0.790188	−	1.22956i	0.0309699	−	0.0481901i
$652$	−19.8517	+	7.40429i	−0.777452	+	0.289974i
$653$	2.47480	+	34.6022i	0.0968464	+	1.35409i	0.780899	+	0.624657i	$0.214761\pi$
$653$	2.47480	+	34.6022i	0.0968464	+	1.35409i	−0.684053	+	0.729433i	$0.739784\pi$
$654$	0.280214	−	0.180083i	0.0109572	−	0.00704179i
$655$	13.6460	−	3.94684i	0.533194	−	0.154216i
$656$	−0.986214	−	6.85927i	−0.0385052	−	0.267810i
$657$	−14.2382	−	3.09732i	−0.555484	−	0.120838i
$658$	7.07690	−	0.506150i	0.275886	−	0.0197318i
$659$	−8.25023	+	18.0655i	−0.321383	+	0.703731i	−0.999513	−	0.0312111i	$-0.990064\pi$
$659$	−8.25023	+	18.0655i	−0.321383	+	0.703731i	0.678129	+	0.734942i	$0.262791\pi$
$660$	0.0889329	+	0.241421i	0.00346171	+	0.00939732i
$661$	3.51110	+	11.9577i	0.136566	+	0.465101i	0.999168	−	0.0407819i	$-0.0129849\pi$
$661$	3.51110	+	11.9577i	0.136566	+	0.465101i	−0.862602	+	0.505883i	$0.831167\pi$
$662$	1.68580	−	23.5706i	0.0655206	−	0.916098i
$663$	0.264464	+	0.484330i	0.0102709	+	0.0188098i
$664$	−0.333123	−	0.729437i	−0.0129277	−	0.0283077i
$665$	−16.4121	+	16.2796i	−0.636434	+	0.631297i
$666$			4.96993i			0.192581i
$667$	−9.73035	−	5.85265i	−0.376761	−	0.226616i
$668$	−12.7756	+	12.7756i	−0.494302	+	0.494302i
$669$	1.54378	+	0.221962i	0.0596860	+	0.00858155i
$670$	−12.7182	+	8.10086i	−0.491347	+	0.312964i
$671$	−11.6127	−	3.40979i	−0.448302	−	0.131633i
$672$	0.224452	+	0.0160531i	0.00865842	+	0.000619262i
$673$	−1.80855	+	3.31212i	−0.0697147	+	0.127673i	−0.910212	−	0.414143i	$-0.864081\pi$
$673$	−1.80855	+	3.31212i	−0.0697147	+	0.127673i	0.840497	+	0.541816i	$0.182263\pi$
$674$	10.1233	+	6.50587i	0.389936	+	0.250597i
$675$	2.46061	−	1.81106i	0.0947090	−	0.0697079i
$676$	6.68282	−	7.71239i	0.257032	−	0.296630i
$677$	−2.91726	+	13.4104i	−0.112119	+	0.515404i	0.886493	+	0.462742i	$0.153134\pi$
$677$	−2.91726	+	13.4104i	−0.112119	+	0.515404i	−0.998612	+	0.0526623i	$0.983229\pi$
$678$	−0.957943	+	1.27966i	−0.0367896	+	0.0491451i
$679$	24.7691	−	3.56126i	0.950551	−	0.136669i
$680$	5.48672	−	4.71548i	0.210406	−	0.180830i
$681$	−1.95605	−	1.69492i	−0.0749558	−	0.0649496i
$682$	−2.55997	−	6.86355i	−0.0980264	−	0.262819i
$683$	−5.17912	+	1.12665i	−0.198174	+	0.0431100i	−0.310556	−	0.950555i	$-0.600515\pi$
$683$	−5.17912	+	1.12665i	−0.198174	+	0.0431100i	0.112383	+	0.993665i	$0.464152\pi$
$684$	13.4445	−	3.94766i	0.514063	−	0.150942i
$685$	−2.06747	−	30.6519i	−0.0789939	−	1.17115i
$686$	−5.67657	+	19.3326i	−0.216733	+	0.738124i
$687$	−1.22283	−	0.456091i	−0.0466538	−	0.0174010i
$688$	−0.480375	+	0.359604i	−0.0183141	+	0.0137098i
$689$	−17.7452			−0.676037
$690$	−0.335030	−	1.04147i	−0.0127544	−	0.0396480i
$691$	−34.5405			−1.31398			−0.656991	−	0.753899i	$-0.728171\pi$
$691$	−34.5405			−1.31398			−0.656991	+	0.753899i	$0.728171\pi$
$692$	−9.65695	+	7.22910i	−0.367102	+	0.274809i
$693$	−6.96822	−	2.59901i	−0.264701	−	0.0987283i
$694$	3.17222	−	10.8036i	0.120416	−	0.410099i
$695$	−28.0867	−	24.5372i	−1.06539	−	0.930750i
$696$	0.231761	−	0.0680512i	0.00878488	−	0.00257947i
$697$	−21.9085	+	4.76590i	−0.829843	+	0.180521i
$698$	5.90617	+	15.8350i	0.223552	+	0.599365i
$699$	2.04352	+	1.77072i	0.0772931	+	0.0669749i
$700$	11.0065	−	0.697600i	0.416008	−	0.0263668i
$701$	−8.53979	+	1.22784i	−0.322543	+	0.0463747i	−0.301685	−	0.953408i	$-0.597549\pi$
$701$	−8.53979	+	1.22784i	−0.322543	+	0.0463747i	−0.0208584	+	0.999782i	$0.506640\pi$
$702$	0.612209	−	0.817815i	0.0231063	−	0.0308665i
$703$	1.65623	−	7.61358i	0.0624660	−	0.287152i
$704$	0.738569	−	0.852355i	0.0278359	−	0.0321243i
$705$	0.703211	+	0.209580i	0.0264845	+	0.00789325i
$706$	16.0168	+	10.2934i	0.602799	+	0.387396i
$707$	12.1833	−	22.3120i	0.458199	−	0.839128i
$708$	−0.497649	−	0.0355925i	−0.0187028	−	0.00133765i
$709$	−2.33781	−	0.686444i	−0.0877985	−	0.0257800i	0.237538	−	0.971378i	$-0.423659\pi$
$709$	−2.33781	−	0.686444i	−0.0877985	−	0.0257800i	−0.325337	+	0.945598i	$0.605478\pi$
$710$	−35.8862	−	7.95899i	−1.34679	−	0.298696i
$711$	35.5785	+	5.11541i	1.33430	+	0.191843i
$712$	7.70054	−	7.70054i	0.288590	−	0.288590i
$713$	9.65922	+	29.6143i	0.361741	+	1.10906i
$714$		−	0.728052i		−	0.0272467i
$715$	2.96920	+	2.99336i	0.111042	+	0.111945i
$716$	−0.591659	−	1.29555i	−0.0221114	−	0.0484171i
$717$	−0.00495424	−	0.00907302i	−0.000185020	−	0.000338838i
$718$	−0.0608565	+	0.850886i	−0.00227115	+	0.0317548i
$719$	−12.9867	−	44.2286i	−0.484322	−	1.64945i	−0.732525	−	0.680741i	$-0.761658\pi$
$719$	−12.9867	−	44.2286i	−0.484322	−	1.64945i	0.248203	−	0.968708i	$-0.420160\pi$
$720$	−6.06953	−	2.80164i	−0.226198	−	0.104411i
$721$	0.904866	−	1.98138i	0.0336990	−	0.0737905i
$722$	−2.95995	+	0.211700i	−0.110158	+	0.00787866i
$723$	−0.990403	−	0.215449i	−0.0368335	−	0.00801263i
$724$	−2.89105	−	20.1077i	−0.107445	−	0.747297i
$725$	10.8080	−	4.83037i	0.401398	−	0.179395i
$726$	−0.834893	+	0.536553i	−0.0309858	+	0.0199133i
$727$	1.16761	+	16.3253i	0.0433042	+	0.605472i	0.972053	+	0.234762i	$0.0754310\pi$
$727$	1.16761	+	16.3253i	0.0433042	+	0.605472i	−0.928749	+	0.370710i	$0.879114\pi$
$728$	3.45511	−	1.28869i	0.128055	−	0.0477620i
$729$	14.2943	−	22.2424i	0.529420	−	0.823793i
$730$	−4.48720	−	9.93190i	−0.166079	−	0.367596i
$731$	1.27138	+	1.46726i	0.0470238	+	0.0542684i
$732$	−0.960867	+	0.524673i	−0.0355147	+	0.0193925i
$733$	−6.51985	+	17.4804i	−0.240816	+	0.645653i	−0.999986	−	0.00523900i	$-0.998332\pi$
$733$	−6.51985	+	17.4804i	−0.240816	+	0.645653i	0.759170	+	0.650892i	$0.225605\pi$
$734$	1.85988	−	12.9357i	0.0686494	−	0.477467i
$735$	−0.293418	+	0.388668i	−0.0108229	+	0.0143362i
$736$	−3.28901	+	3.49033i	−0.121234	+	0.128655i
$737$	5.37793	+	5.37793i	0.198099	+	0.198099i
$738$	12.4154	+	16.5850i	0.457018	+	0.610504i
$739$	−32.3104	+	14.7557i	−1.18856	+	0.542796i	−0.908783	−	0.417270i	$-0.862987\pi$
$739$	−32.3104	+	14.7557i	−1.18856	+	0.542796i	−0.279775	+	0.960066i	$0.590260\pi$
$740$	−2.98483	+	2.21560i	−0.109724	+	0.0814470i
$741$	−0.604147	+	0.523496i	−0.0221939	+	0.0192311i
$742$	20.5482	+	11.2201i	0.754347	+	0.411904i
$743$	−8.09582	−	37.2159i	−0.297007	−	1.36532i	−0.847640	−	0.530571i	$-0.821977\pi$
$743$	−8.09582	−	37.2159i	−0.297007	−	1.36532i	0.550633	−	0.834747i	$-0.314386\pi$
$744$	−0.602748	−	0.275266i	−0.0220978	−	0.0100917i
$745$	−16.2773	−	10.5542i	−0.596355	−	0.386678i
$746$	−18.9690	−	29.5163i	−0.694503	−	1.08067i
$747$	1.91919	+	1.43669i	0.0702195	+	0.0525656i
$748$	−2.92117	−	2.18676i	−0.106809	−	0.0799560i
$749$	15.4738	+	24.0777i	0.565400	+	0.879779i
$750$	1.09041	+	0.334625i	0.0398163	+	0.0122188i
$751$	−34.5866	−	15.7952i	−1.26208	−	0.576373i	−0.331845	−	0.943334i	$-0.607671\pi$
$751$	−34.5866	−	15.7952i	−1.26208	−	0.576373i	−0.930237	+	0.366960i	$0.880398\pi$
$752$	−0.683742	−	3.14311i	−0.0249335	−	0.114617i
$753$	1.60158	+	0.874527i	0.0583647	+	0.0318695i
$754$	2.99151	−	2.59216i	0.108944	−	0.0944009i
$755$	1.99725	−	13.5026i	0.0726874	−	0.491408i
$756$	−1.22601	+	0.559900i	−0.0445896	+	0.0203634i
$757$	0.0153446	+	0.0204980i	0.000557710	+	0.000745014i	0.800820	−	0.598905i	$-0.204397\pi$
$757$	0.0153446	+	0.0204980i	0.000557710	+	0.000745014i	−0.800262	+	0.599650i	$0.795306\pi$
$758$	−15.4814	−	15.4814i	−0.562309	−	0.562309i
$759$	−0.476245	+	0.278712i	−0.0172866	+	0.0101166i
$760$	8.36443	+	6.31458i	0.303410	+	0.229054i
$761$	−0.863990	+	6.00918i	−0.0313196	+	0.217833i	−0.999471	−	0.0325343i	$-0.989642\pi$
$761$	−0.863990	+	6.00918i	−0.0313196	+	0.217833i	0.968151	+	0.250367i	$0.0805513\pi$
$762$	0.125975	−	0.337752i	0.00456359	−	0.0122354i
$763$	−6.32077	+	3.45140i	−0.228827	+	0.124949i
$764$	11.4114	+	13.1694i	0.412850	+	0.476454i
$765$	−7.64047	+	20.2341i	−0.276242	+	0.731566i
$766$	−3.37506	+	5.25170i	−0.121946	+	0.189752i
$767$	−7.66058	+	2.85725i	−0.276608	+	0.103169i
$768$	−0.00727793	−	0.101759i	−0.000262620	−	0.00367190i
$769$	−18.7559	+	12.0537i	−0.676357	+	0.434668i	−0.833212	−	0.552953i	$-0.813501\pi$
$769$	−18.7559	+	12.0537i	−0.676357	+	0.434668i	0.156855	+	0.987622i	$0.449864\pi$
$770$	−1.54553	−	5.34359i	−0.0556970	−	0.192570i
$771$	−0.259499	−	1.80486i	−0.00934565	−	0.0650004i
$772$	−4.48129	−	0.974845i	−0.161285	−	0.0350855i
$773$	12.8555	−	0.919445i	0.462381	−	0.0330702i	0.161794	−	0.986825i	$-0.448272\pi$
$773$	12.8555	−	0.919445i	0.462381	−	0.0330702i	0.300587	+	0.953754i	$0.402817\pi$
$774$	0.745230	−	1.63183i	0.0267868	−	0.0586548i
$775$	−31.0852	−	9.40172i	−1.11661	−	0.337720i
$776$	−3.19624	−	10.8854i	−0.114738	−	0.390763i
$777$	−0.0266869	+	0.373132i	−0.000957387	+	0.0133860i
$778$	−3.96874	−	7.26820i	−0.142286	−	0.260578i
$779$	−13.4925	−	29.5445i	−0.483420	−	1.05854i
$780$	0.381378	+	0.00154534i	0.0136555	+	5.53322e-5i
$781$			18.5401i			0.663416i
$782$	12.0231	+	9.80861i	0.429945	+	0.350755i
$783$	−1.02301	+	1.02301i	−0.0365595	+	0.0365595i
$784$	2.11305	+	0.303811i	0.0754660	+	0.0108504i
$785$	−5.91140	+	26.6539i	−0.210987	+	0.951317i
$786$	−0.621853	−	0.182593i	−0.0221808	−	0.00651286i
$787$	44.9639	+	3.21588i	1.60279	+	0.114634i	0.843869	−	0.536550i	$-0.180273\pi$
$787$	44.9639	+	3.21588i	1.60279	+	0.114634i	0.758920	+	0.651184i	$0.225727\pi$
$788$	6.55910	−	12.0121i	0.233658	−	0.427913i
$789$	−1.36046	−	0.874317i	−0.0484338	−	0.0311265i
$790$	12.7887	+	23.6481i	0.455002	+	0.841360i
$791$	22.6325	−	26.1193i	0.804718	−	0.928694i
$792$	−0.716715	+	3.29469i	−0.0254674	+	0.117072i
$793$	−10.7515	+	14.3624i	−0.381798	+	0.510022i
$794$	15.3383	−	2.20531i	0.544336	−	0.0782637i
$795$	1.57819	+	1.83632i	0.0559728	+	0.0651274i
$796$	7.42341	+	6.43242i	0.263116	+	0.227991i
$797$	2.36105	+	6.33021i	0.0836326	+	0.224228i	0.972034	−	0.234840i	$-0.0754565\pi$
$797$	2.36105	+	6.33021i	0.0836326	+	0.224228i	−0.888402	+	0.459067i	$0.848184\pi$
$798$	1.03058	−	0.224189i	0.0364821	−	0.00793620i
$799$	−9.98557	+	2.93203i	−0.353264	+	0.103728i
$800$	−1.02320	−	4.89419i	−0.0361755	−	0.173036i
$801$	−9.17245	+	31.2385i	−0.324092	+	1.10376i
$802$	36.6798	+	13.6809i	1.29521	+	0.483088i
$803$	−4.40056	+	3.29422i	−0.155292	+	0.116251i
$804$	0.687967			0.0242627
$805$	5.61879	+	22.9767i	0.198036	+	0.809823i
$806$	−10.8589			−0.382487
$807$	−2.48533	+	1.86050i	−0.0874879	+	0.0654926i
$808$	−10.7986	−	4.02767i	−0.379893	−	0.141693i
$809$	13.9819	−	47.6181i	0.491579	−	1.67416i	−0.223167	−	0.974780i	$-0.571640\pi$
$809$	13.9819	−	47.6181i	0.491579	−	1.67416i	0.714746	−	0.699384i	$-0.246542\pi$
$810$	19.8703	−	1.34025i	0.698169	−	0.0470914i
$811$	29.4948	−	8.66045i	1.03570	−	0.304109i	0.280674	−	0.959803i	$-0.409442\pi$
$811$	29.4948	−	8.66045i	1.03570	−	0.304109i	0.755027	+	0.655694i	$0.227624\pi$
$812$	−5.10305	+	1.11010i	−0.179082	+	0.0389569i
$813$	−0.157274	−	0.421669i	−0.00551585	−	0.0147886i
$814$	1.41696	+	1.22781i	0.0496646	+	0.0430346i
$815$	47.2420	+	3.57128i	1.65482	+	0.125096i
$816$	−0.326714	+	0.0469744i	−0.0114373	+	0.00164443i
$817$	−1.68545	+	2.25149i	−0.0589663	+	0.0787698i
$818$	−2.43389	+	11.1884i	−0.0850991	+	0.391194i
$819$	−7.21949	+	8.33174i	−0.252269	+	0.291135i
$820$	−4.42580	+	14.8500i	−0.154556	+	0.518586i
$821$	44.9015	+	28.8565i	1.56707	+	1.00710i	0.980339	+	0.197319i	$0.0632234\pi$
$821$	44.9015	+	28.8565i	1.56707	+	1.00710i	0.586735	+	0.809779i	$0.300413\pi$
$822$	−0.671737	+	1.23019i	−0.0234295	+	0.0429080i
$823$	−36.0756	−	2.58018i	−1.25752	−	0.0899393i	−0.573377	−	0.819292i	$-0.694367\pi$
$823$	−36.0756	−	2.58018i	−1.25752	−	0.0899393i	−0.684138	+	0.729352i	$0.739821\pi$
$824$	−0.947529	−	0.278220i	−0.0330087	−	0.00969224i
$825$	0.0456901	−	0.573480i	0.00159073	−	0.0199660i
$826$	10.6772	+	1.53516i	0.371509	+	0.0534149i
$827$	−18.3903	+	18.3903i	−0.639493	+	0.639493i	−0.950430	−	0.310937i	$-0.899357\pi$
$827$	−18.3903	+	18.3903i	−0.639493	+	0.639493i	0.310937	+	0.950430i	$0.399357\pi$
$828$	3.62922	−	13.8707i	0.126124	−	0.482038i
$829$			20.9637i			0.728101i	0.931379	+	0.364050i	$0.118606\pi$
$829$			20.9637i			0.728101i	−0.931379	+	0.364050i	$0.881394\pi$
$830$	−0.00726562	+	1.79310i	−0.000252193	+	0.0622393i
$831$	0.678737	+	1.48623i	0.0235451	+	0.0515566i
$832$	−0.801227	−	1.46734i	−0.0277776	−	0.0508708i
$833$	0.492734	−	6.88932i	0.0170722	−	0.238701i
$834$	0.479387	+	1.63264i	0.0165998	+	0.0565337i
$835$	37.9096	−	13.9648i	1.31192	−	0.483273i
$836$	2.19591	−	4.80838i	0.0759472	−	0.166301i
$837$	3.95876	−	0.283136i	0.136835	−	0.00978662i
$838$	12.3116	+	2.67822i	0.425296	+	0.0925175i
$839$	−0.462168	−	3.21445i	−0.0159558	−	0.110975i	0.980287	−	0.197579i	$-0.0633078\pi$
$839$	−0.462168	−	3.21445i	−0.0159558	−	0.110975i	−0.996243	+	0.0866035i	$0.972399\pi$
$840$	−0.440642	−	0.242932i	−0.0152036	−	0.00838195i
$841$	19.6805	−	12.6479i	0.678637	−	0.436133i
$842$	−0.524615	−	7.33507i	−0.0180794	−	0.252783i
$843$	0.830647	−	0.309815i	0.0286090	−	0.0106706i
$844$	9.23323	−	14.3672i	0.317821	−	0.494539i
$845$	−20.7951	+	9.39516i	−0.715373	+	0.323203i
$846$	6.29739	+	7.26758i	0.216509	+	0.249864i
$847$	18.8326	−	10.2834i	0.647097	−	0.353342i
$848$	3.70927	−	9.94494i	0.127377	−	0.341511i
$849$	0.346904	−	2.41277i	0.0119057	−	0.0828061i
$850$	−15.5583	+	4.43169i	−0.533644	+	0.152006i
$851$	−5.80237	−	5.46769i	−0.198903	−	0.187430i
$852$	1.18586	+	1.18586i	0.0406270	+	0.0406270i
$853$	0.100251	+	0.133920i	0.00343253	+	0.00458533i	0.802254	−	0.596983i	$-0.203634\pi$
$853$	0.100251	+	0.133920i	0.00343253	+	0.00458533i	−0.798822	+	0.601568i	$0.794543\pi$
$854$	21.5310	−	9.83289i	0.736777	−	0.336475i
$855$	−30.9947	−	4.58463i	−1.06000	−	0.156791i
$856$	9.80651	−	8.49739i	0.335180	−	0.290435i
$857$	13.9559	+	7.62049i	0.476724	+	0.260311i	0.699599	−	0.714536i	$-0.253362\pi$
$857$	13.9559	+	7.62049i	0.476724	+	0.260311i	−0.222874	+	0.974847i	$0.571544\pi$
$858$	−0.0408892	−	0.187965i	−0.00139594	−	0.00641701i
$859$	14.8539	+	6.78356i	0.506809	+	0.231452i	0.652375	−	0.757897i	$-0.273773\pi$
$859$	14.8539	+	6.78356i	0.506809	+	0.231452i	−0.145565	+	0.989349i	$0.546500\pi$
$860$	1.31226	−	0.279901i	0.0447477	−	0.00954455i
$861$	0.843065	+	1.31183i	0.0287316	+	0.0447072i
$862$	−2.43133	−	1.82007i	−0.0828113	−	0.0619918i
$863$	1.96699	+	1.47247i	0.0669572	+	0.0501236i	0.632232	−	0.774779i	$-0.282139\pi$
$863$	1.96699	+	1.47247i	0.0669572	+	0.0501236i	−0.565275	+	0.824903i	$0.691230\pi$
$864$	0.330359	+	0.514048i	0.0112390	+	0.0174883i
$865$	26.3803	−	5.62684i	0.896958	−	0.191318i
$866$	3.17803	+	1.45136i	0.107994	+	0.0493192i
$867$	−0.141651	−	0.651160i	−0.00481073	−	0.0221146i
$868$	12.5741	+	6.86598i	0.426793	+	0.233047i
$869$	10.2480	−	8.87994i	0.347639	−	0.301231i
$870$	−0.534298	−	0.0790315i	−0.0181144	−	0.00267942i
$871$	10.2553	−	4.68344i	0.347487	−	0.158692i
$872$	1.95664	+	2.61377i	0.0662602	+	0.0885133i
$873$	23.9828	+	23.9828i	0.811694	+	0.811694i
$874$	−10.1821	+	20.0394i	−0.344415	+	0.677843i
$875$	−22.9994	−	8.89828i	−0.777522	−	0.300817i
$876$	−0.0707640	+	0.492174i	−0.00239089	+	0.0166290i
$877$	−6.80472	+	18.2442i	−0.229779	+	0.616061i	−0.999758	−	0.0220082i	$-0.992994\pi$
$877$	−6.80472	+	18.2442i	−0.229779	+	0.616061i	0.769979	+	0.638069i	$0.220267\pi$
$878$	−20.6964	+	11.3011i	−0.698470	+	0.381394i
$879$	1.55837	+	1.79846i	0.0525626	+	0.0606604i
$880$	−2.29822	+	1.03833i	−0.0774731	+	0.0350021i
$881$	17.6139	−	27.4077i	0.593427	−	0.923390i	−0.406526	−	0.913639i	$-0.633260\pi$
$881$	17.6139	−	27.4077i	0.593427	−	0.923390i	0.999952	−	0.00975083i	$-0.00310383\pi$
$882$	−5.97972	+	2.23032i	−0.201348	+	0.0750988i
$883$	−3.49399	−	48.8523i	−0.117582	−	1.64401i	−0.623784	−	0.781597i	$-0.714406\pi$
$883$	−3.49399	−	48.8523i	−0.117582	−	1.64401i	0.506202	−	0.862415i	$-0.331049\pi$
$884$	−4.55043	+	2.92439i	−0.153048	+	0.0983577i
$885$	0.976981	+	0.538622i	0.0328409	+	0.0181056i
$886$	0.629638	+	4.37923i	0.0211531	+	0.147123i
$887$	56.1154	+	12.2072i	1.88417	+	0.409876i	0.998516	−	0.0544656i	$-0.0173455\pi$
$887$	56.1154	+	12.2072i	1.88417	+	0.409876i	0.885656	+	0.464342i	$0.153709\pi$
$888$	0.169165	−	0.0120989i	0.00567681	−	0.000406013i
$889$	−3.23769	+	7.08954i	−0.108589	+	0.237776i
$890$	−22.8502	+	8.41737i	−0.765940	+	0.282151i
$891$	−2.82998	−	9.63803i	−0.0948079	−	0.322886i
$892$	−1.09063	+	15.2490i	−0.0365170	+	0.510574i
$893$	−7.22523	−	13.2320i	−0.241783	−	0.442792i
$894$	0.367679	+	0.805106i	0.0122970	+	0.0269268i
$895$	−0.0129045	+	3.18472i	−0.000431349	+	0.106453i
$896$			2.20572i			0.0736881i
$897$	0.140392	+	0.805834i	0.00468755	+	0.0269060i
$898$	−4.62680	+	4.62680i	−0.154398	+	0.154398i
$899$	15.2218	+	2.18856i	0.507675	+	0.0729927i
$900$	9.69696	+	11.3759i	0.323232	+	0.379196i
$901$	−32.9503	−	9.67507i	−1.09773	−	0.322323i
$902$	7.79571	+	0.557560i	0.259569	+	0.0185647i
$903$	0.0647126	−	0.118512i	0.00215350	−	0.00394384i
$904$	−13.1813	−	8.47112i	−0.438404	−	0.281745i
$905$	−12.9741	+	43.5323i	−0.431273	+	1.44706i
$906$	−0.407812	+	0.470640i	−0.0135486	+	0.0156360i
$907$	4.11925	−	18.9359i	0.136778	−	0.628756i	−0.856804	−	0.515641i	$-0.827554\pi$
$907$	4.11925	−	18.9359i	0.136778	−	0.628756i	0.993582	−	0.113115i	$-0.0360827\pi$
$908$	15.2037	−	20.3098i	0.504552	−	0.674003i
$909$	34.1051	−	4.90358i	1.13120	−	0.162641i
$910$	−8.22230	−	0.621568i	−0.272567	−	0.0206048i
$911$	20.1770	+	17.4835i	0.668495	+	0.579254i	0.921579	−	0.388190i	$-0.126900\pi$
$911$	20.1770	+	17.4835i	0.668495	+	0.579254i	−0.253084	+	0.967444i	$0.581445\pi$
$912$	−0.167099	−	0.448009i	−0.00553319	−	0.0148351i
$913$	0.883740	−	0.192246i	0.0292475	−	0.00636241i
$914$	−32.4345	+	9.52362i	−1.07284	+	0.315013i
$915$	2.44246	−	0.164743i	0.0807451	−	0.00544625i
$916$	3.60418	−	12.2747i	0.119085	−	0.405568i
$917$	13.1291	+	4.89689i	0.433560	+	0.161710i
$918$	1.58268	−	1.18478i	0.0522361	−	0.0391035i
$919$	34.9785			1.15383			0.576917	−	0.816803i	$-0.304256\pi$
$919$	34.9785			1.15383			0.576917	+	0.816803i	$0.304256\pi$
$920$	9.94830	−	4.00391i	0.327986	−	0.132005i
$921$	−2.53349			−0.0834812
$922$	−19.8629	+	14.8692i	−0.654149	+	0.489690i
$923$	25.7502	+	9.60432i	0.847577	+	0.316130i
$924$	−0.0715008	+	0.243509i	−0.00235220	+	0.00801087i
$925$	8.13616	−	1.70098i	0.267515	−	0.0559278i
$926$	−37.6184	+	11.0458i	−1.23622	+	0.362987i
$927$	2.88485	−	0.627560i	0.0947508	−	0.0206118i
$928$	0.827411	+	2.21837i	0.0271611	+	0.0728217i
$929$	34.4909	+	29.8866i	1.13161	+	0.980546i	0.999942	−	0.0107473i	$-0.00342104\pi$
$929$	34.4909	+	29.8866i	1.13161	+	0.980546i	0.131669	+	0.991294i	$0.457966\pi$
$930$	0.965750	+	1.12370i	0.0316682	+	0.0368477i
$931$	9.90376	−	1.42395i	0.324583	−	0.0466679i
$932$	−15.8836	+	21.2180i	−0.520285	+	0.695020i
$933$	0.298191	−	1.37076i	0.00976232	−	0.0448767i
$934$	3.06735	−	3.53990i	0.100367	−	0.115829i
$935$	3.88134	+	7.17713i	0.126933	+	0.234717i
$936$	4.20468	+	2.70219i	0.137434	+	0.0883237i
$937$	16.4258	−	30.0816i	0.536607	−	0.982723i	−0.458940	−	0.888467i	$-0.651771\pi$
$937$	16.4258	−	30.0816i	0.536607	−	0.982723i	0.995548	−	0.0942562i	$-0.0300473\pi$
$938$	−14.8365	−	1.06113i	−0.484429	−	0.0346470i
$939$	−0.500523	−	0.146967i	−0.0163340	−	0.00479608i
$940$	−1.55736	+	7.02196i	−0.0507954	+	0.229031i
$941$	44.3539	+	6.37713i	1.44590	+	0.207888i	0.820155	−	0.572142i	$-0.193887\pi$
$941$	44.3539	+	6.37713i	1.44590	+	0.207888i	0.625741	+	0.780031i	$0.284797\pi$
$942$	0.880778	−	0.880778i	0.0286973	−	0.0286973i
$943$	−33.0218	−	3.75115i	−1.07534	−	0.122154i
$944$		−	4.89048i		−	0.159171i
$945$	3.01377	+	0.0122118i	0.0980379	+	0.000397249i
$946$	−0.281139	−	0.615608i	−0.00914062	−	0.0200152i
$947$	−5.25921	−	9.63153i	−0.170902	−	0.312983i	0.778164	−	0.628061i	$-0.216151\pi$
$947$	−5.25921	−	9.63153i	−0.170902	−	0.312983i	−0.949066	+	0.315078i	$0.897969\pi$
$948$	0.0875038	−	1.22346i	0.00284199	−	0.0397362i
$949$	2.29569	+	7.81841i	0.0745213	+	0.253796i
$950$	−11.0640	−	20.6585i	−0.358965	−	0.670251i
$951$	0.907165	−	1.98642i	0.0294169	−	0.0644139i
$952$	7.11827	−	0.509109i	0.230705	−	0.0165003i
$953$	−17.9414	−	3.90290i	−0.581177	−	0.126427i	−0.0876403	−	0.996152i	$-0.527933\pi$
$953$	−17.9414	−	3.90290i	−0.581177	−	0.126427i	−0.493537	+	0.869725i	$0.664296\pi$
$954$	4.51594	+	31.4090i	0.146209	+	1.01691i
$955$	−10.8261	−	37.4308i	−0.350325	−	1.21123i
$956$	0.0852439	−	0.0547829i	0.00275698	−	0.00177181i
$957$	0.0194343	+	0.271727i	0.000628222	+	0.00878369i
$958$	2.87080	−	1.07075i	0.0927513	−	0.0345944i
$959$	16.3839	−	25.4939i	0.529065	−	0.823241i
$960$	−0.0805855	+	0.213413i	−0.00260088	+	0.00688787i
$961$	−7.32605	−	8.45471i	−0.236324	−	0.272733i
$962$	2.43932	−	1.33197i	0.0786469	−	0.0429444i
$963$	−13.5566	+	36.3467i	−0.436856	+	1.17126i
$964$	1.41391	−	9.83398i	0.0455390	−	0.316731i
$965$	8.18444	+	6.17870i	0.263467	+	0.198900i
$966$	0.346955	−	1.02189i	0.0111631	−	0.0328788i
$967$	−4.62249	−	4.62249i	−0.148649	−	0.148649i	0.628865	−	0.777514i	$-0.283520\pi$
$967$	−4.62249	−	4.62249i	−0.148649	−	0.148649i	−0.777514	+	0.628865i	$0.783520\pi$
$968$	−5.82978	−	7.78767i	−0.187376	−	0.250305i
$969$	−1.40724	+	0.642664i	−0.0452070	+	0.0206453i
$970$	−3.71197	+	25.0950i	−0.119184	+	0.805753i
$971$	7.32297	−	6.34539i	0.235005	−	0.203633i	−0.529394	−	0.848376i	$-0.677581\pi$
$971$	7.32297	−	6.34539i	0.235005	−	0.203633i	0.764400	+	0.644742i	$0.223035\pi$
$972$	−2.40640	−	1.31399i	−0.0771853	−	0.0421463i
$973$	−7.82010	−	35.9484i	−0.250701	−	1.15245i
$974$	−2.06486	−	0.942989i	−0.0661623	−	0.0302153i
$975$	−0.772833	−	0.360538i	−0.0247505	−	0.0115465i
$976$	−5.80172	−	9.02765i	−0.185708	−	0.288968i
$977$	−43.1934	−	32.3342i	−1.38188	−	1.03446i	−0.993604	−	0.112917i	$-0.963980\pi$
$977$	−43.1934	−	32.3342i	−1.38188	−	1.03446i	−0.388274	−	0.921544i	$-0.626929\pi$
$978$	−1.73039	−	1.29536i	−0.0553318	−	0.0414209i
$979$	6.64030	+	10.3325i	0.212225	+	0.330228i
$980$	−4.00524	−	2.59700i	−0.127943	−	0.0829583i
$981$	−8.87893	−	4.05487i	−0.283483	−	0.129462i
$982$	5.68170	+	26.1183i	0.181310	+	0.833470i
$983$	−20.3880	−	11.1327i	−0.650275	−	0.355077i	0.120014	−	0.992772i	$-0.461706\pi$
$983$	−20.3880	−	11.1327i	−0.650275	−	0.355077i	−0.770289	+	0.637695i	$0.779888\pi$
$984$	0.534292	−	0.462967i	0.0170326	−	0.0147588i
$985$	−24.5733	+	18.2404i	−0.782970	+	0.581189i
$986$	6.96812	−	3.18223i	0.221910	−	0.101343i
$987$	0.433770	+	0.579448i	0.0138070	+	0.0184440i
$988$	−5.54077	−	5.54077i	−0.176275	−	0.176275i
$989$	1.08528	+	2.66531i	0.0345100	+	0.0847520i
$990$	4.54264	−	6.01728i	0.144375	−	0.191242i
$991$	−8.44395	+	58.7289i	−0.268231	+	1.86559i	0.197009	+	0.980402i	$0.436877\pi$
$991$	−8.44395	+	58.7289i	−0.268231	+	1.86559i	−0.465240	+	0.885185i	$0.654032\pi$
$992$	2.26983	−	6.08564i	0.0720671	−	0.193219i
$993$	2.11590	−	1.15537i	0.0671460	−	0.0366645i
$994$	−23.7449	−	27.4030i	−0.753141	−	0.869171i
$995$	−9.04313	−	20.0159i	−0.286686	−	0.634548i
$996$	0.0442294	−	0.0688223i	0.00140146	−	0.00218072i
$997$	15.7282	−	5.86630i	0.498116	−	0.185788i	−0.0878336	−	0.996135i	$-0.527994\pi$
$997$	15.7282	−	5.86630i	0.498116	−	0.185788i	0.585950	+	0.810348i	$0.300722\pi$
$998$	−1.19151	−	16.6595i	−0.0377166	−	0.527347i
$999$	−0.854560	+	0.549193i	−0.0270371	+	0.0173757i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.107.3	yes	240
5.3	odd	4	inner	230.2.l.a.153.10	yes	240
23.20	odd	22	inner	230.2.l.a.227.10	yes	240
115.43	even	44	inner	230.2.l.a.43.3	✓	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.43.3	✓	240	115.43	even	44	inner
230.2.l.a.107.3	yes	240	1.1	even	1	trivial
230.2.l.a.153.10	yes	240	5.3	odd	4	inner
230.2.l.a.227.10	yes	240	23.20	odd	22	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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.l (of order \(44\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.800541 + 0.599278i) q^{2} +(-0.0955864 - 0.0356519i) q^{3} +(0.281733 - 0.959493i) q^{4} +(-1.47115 + 1.68396i) q^{5} +(0.0978863 - 0.0287420i) q^{6} +(-2.15532 + 0.468861i) q^{7} +(0.349464 + 0.936950i) q^{8} +(-2.25938 - 1.95777i) q^{9} +(0.168555 - 2.22971i) q^{10} +(-1.11635 + 0.160506i) q^{11} +(-0.0611375 + 0.0816702i) q^{12} +(-0.355375 + 1.63363i) q^{13} +(1.44444 - 1.66698i) q^{14} +(0.200658 - 0.108514i) q^{15} +(-0.841254 - 0.540641i) q^{16} +(-1.55057 + 2.83966i) q^{17} +(2.98198 + 0.213275i) q^{18} +(-4.49710 - 1.32047i) q^{19} +(1.20128 + 1.88598i) q^{20} +(0.222735 + 0.0320244i) q^{21} +(0.797494 - 0.797494i) q^{22} +(-3.52962 + 3.24681i) q^{23} -0.102019i q^{24} +(-0.671444 - 4.95471i) q^{25} +(-0.694507 - 1.52076i) q^{26} +(0.292845 + 0.536306i) q^{27} +(-0.157355 + 2.20010i) q^{28} +(0.667046 + 2.27175i) q^{29} +(-0.0956048 + 0.207120i) q^{30} +(2.69819 - 5.90821i) q^{31} +(0.997452 - 0.0713392i) q^{32} +(0.112430 + 0.0244576i) q^{33} +(-0.460449 - 3.20249i) q^{34} +(2.38125 - 4.31923i) q^{35} +(-2.51500 + 1.61630i) q^{36} +(0.118595 + 1.65818i) q^{37} +(4.39144 - 1.63792i) q^{38} +(0.0922111 - 0.143483i) q^{39} +(-2.09190 - 0.789908i) q^{40} +(4.53806 + 5.23720i) q^{41} +(-0.197500 + 0.107843i) q^{42} +(0.209700 - 0.562228i) q^{43} +(-0.160506 + 1.11635i) q^{44} +(6.62069 - 0.924546i) q^{45} +(0.879872 - 4.71443i) q^{46} +(2.27449 + 2.27449i) q^{47} +(0.0611375 + 0.0816702i) q^{48} +(-1.94186 + 0.886819i) q^{49} +(3.50677 + 3.56407i) q^{50} +(0.249453 - 0.216152i) q^{51} +(1.46734 + 0.801227i) q^{52} +(2.25620 + 10.3716i) q^{53} +(-0.555831 - 0.253840i) q^{54} +(1.37203 - 2.11601i) q^{55} +(-1.19250 - 1.85557i) q^{56} +(0.382784 + 0.286549i) q^{57} +(-1.89541 - 1.41888i) q^{58} +(2.64399 + 4.11413i) q^{59} +(-0.0475870 - 0.223102i) q^{60} +(9.76143 + 4.45790i) q^{61} +(1.38065 + 6.34673i) q^{62} +(5.78761 + 3.16027i) q^{63} +(-0.755750 + 0.654861i) q^{64} +(-2.22816 - 3.00175i) q^{65} +(-0.104662 + 0.0477974i) q^{66} +(-4.04125 - 5.39848i) q^{67} +(2.28779 + 2.28779i) q^{68} +(0.453139 - 0.184513i) q^{69} +(0.682131 + 4.88475i) q^{70} +(2.33948 - 16.2714i) q^{71} +(1.04476 - 2.80110i) q^{72} +(4.27777 - 2.33584i) q^{73} +(-1.08865 - 1.25637i) q^{74} +(-0.112464 + 0.497541i) q^{75} +(-2.53396 + 3.94291i) q^{76} +(2.33083 - 0.869353i) q^{77} +(0.0121675 + 0.170124i) q^{78} +(-10.1145 + 6.50021i) q^{79} +(2.14803 - 0.621275i) q^{80} +(1.26752 + 8.81578i) q^{81} +(-6.77144 - 1.47304i) q^{82} +(-0.799860 + 0.0572071i) q^{83} +(0.0934789 - 0.204690i) q^{84} +(-2.50076 - 6.78867i) q^{85} +(0.169057 + 0.575756i) q^{86} +(0.0172316 - 0.240930i) q^{87} +(-0.540510 - 0.989870i) q^{88} +(-4.52396 - 9.90608i) q^{89} +(-4.74607 + 4.70777i) q^{90} -3.68762i q^{91} +(2.12088 + 4.30138i) q^{92} +(-0.468549 + 0.468549i) q^{93} +(-3.18388 - 0.457773i) q^{94} +(8.83951 - 5.63033i) q^{95} +(-0.0978863 - 0.0287420i) q^{96} +(-11.3160 - 0.809339i) q^{97} +(1.02309 - 1.87365i) q^{98} +(2.83649 + 1.82290i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) \) 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

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