LMFDB - Embedded newform 600.2.bk.a.59.42

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [600,2,Mod(59,600)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(600, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 5, 7]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("600.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 600 = 2^{3} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	600.bk (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$4.79102412128$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			59.42
Character	$\chi$	$=$	600.59
Dual form			600.2.bk.a.539.42

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.586139 - 1.28703i) q^{2} +(0.223577 + 1.71756i) q^{3} +(-1.31288 + 1.50876i) q^{4} +(-0.305686 + 2.21507i) q^{5} +(2.07950 - 1.29448i) q^{6} -1.47604 q^{7} +(2.71134 + 0.805374i) q^{8} +(-2.90003 + 0.768015i) q^{9} +O(q^{10})$	\(q+(-0.586139 - 1.28703i) q^{2} +(0.223577 + 1.71756i) q^{3} +(-1.31288 + 1.50876i) q^{4} +(-0.305686 + 2.21507i) q^{5} +(2.07950 - 1.29448i) q^{6} -1.47604 q^{7} +(2.71134 + 0.805374i) q^{8} +(-2.90003 + 0.768015i) q^{9} +(3.03004 - 0.904916i) q^{10} +(-0.536105 + 0.737886i) q^{11} +(-2.88491 - 1.91763i) q^{12} +(-4.34207 + 3.15470i) q^{13} +(0.865167 + 1.89971i) q^{14} +(-3.87287 - 0.0297937i) q^{15} +(-0.552686 - 3.96163i) q^{16} +(2.18574 - 6.72702i) q^{17} +(2.68828 + 3.28225i) q^{18} +(0.235261 - 0.724060i) q^{19} +(-2.94068 - 3.36934i) q^{20} +(-0.330009 - 2.53519i) q^{21} +(1.26391 + 0.257479i) q^{22} +(2.16707 - 2.98271i) q^{23} +(-0.777084 + 4.83696i) q^{24} +(-4.81311 - 1.35423i) q^{25} +(6.60524 + 3.73927i) q^{26} +(-1.96749 - 4.80926i) q^{27} +(1.93787 - 2.22699i) q^{28} +(0.203775 + 0.627154i) q^{29} +(2.23170 + 5.00195i) q^{30} +(-3.25079 - 1.05624i) q^{31} +(-4.77478 + 3.03339i) q^{32} +(-1.38722 - 0.755819i) q^{33} +(-9.93901 + 1.12986i) q^{34} +(0.451205 - 3.26954i) q^{35} +(2.64864 - 5.38374i) q^{36} +(-4.66999 + 3.39294i) q^{37} +(-1.06978 + 0.121612i) q^{38} +(-6.38917 - 6.75245i) q^{39} +(-2.61278 + 5.75963i) q^{40} +(3.62063 + 4.98337i) q^{41} +(-3.06943 + 1.91071i) q^{42} -3.92012i q^{43} +(-0.409446 - 1.77761i) q^{44} +(-0.814713 - 6.65855i) q^{45} +(-5.10903 - 1.04079i) q^{46} +(-4.90302 + 1.59309i) q^{47} +(6.68078 - 1.83500i) q^{48} -4.82130 q^{49} +(1.07822 + 6.98838i) q^{50} +(12.0427 + 2.25013i) q^{51} +(0.940954 - 10.6929i) q^{52} +(-8.05205 + 2.61627i) q^{53} +(-5.03643 + 5.35111i) q^{54} +(-1.47059 - 1.41307i) q^{55} +(-4.00206 - 1.18877i) q^{56} +(1.29622 + 0.242192i) q^{57} +(0.687725 - 0.629864i) q^{58} +(8.77096 + 12.0722i) q^{59} +(5.12957 - 5.80410i) q^{60} +(-1.97170 + 2.71382i) q^{61} +(0.545998 + 4.80296i) q^{62} +(4.28056 - 1.13362i) q^{63} +(6.70275 + 4.36729i) q^{64} +(-5.66058 - 10.5824i) q^{65} +(-0.159653 + 2.22841i) q^{66} +(4.51522 + 1.46708i) q^{67} +(7.27981 + 12.1295i) q^{68} +(5.60749 + 3.05520i) q^{69} +(-4.47246 + 1.33569i) q^{70} +(1.57843 + 4.85790i) q^{71} +(-8.48150 - 0.253255i) q^{72} +(-7.05593 + 9.71166i) q^{73} +(7.10408 + 4.02166i) q^{74} +(1.24988 - 8.56959i) q^{75} +(0.783559 + 1.30556i) q^{76} +(0.791314 - 1.08915i) q^{77} +(-4.94564 + 12.1809i) q^{78} +(4.20401 - 1.36596i) q^{79} +(8.94426 - 0.0132246i) q^{80} +(7.82031 - 4.45453i) q^{81} +(4.29154 - 7.58080i) q^{82} +(3.26583 - 10.0512i) q^{83} +(4.25825 + 2.83050i) q^{84} +(14.2327 + 6.89793i) q^{85} +(-5.04531 + 2.29774i) q^{86} +(-1.03162 + 0.490213i) q^{87} +(-2.04784 + 1.56890i) q^{88} +(-4.83327 + 6.65243i) q^{89} +(-8.09220 + 4.95139i) q^{90} +(6.40908 - 4.65647i) q^{91} +(1.65508 + 7.18552i) q^{92} +(1.08736 - 5.81958i) q^{93} +(4.92420 + 5.37655i) q^{94} +(1.53193 + 0.742456i) q^{95} +(-6.27756 - 7.52278i) q^{96} +(-10.3792 + 3.37242i) q^{97} +(2.82595 + 6.20515i) q^{98} +(0.988013 - 2.55163i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/600\mathbb{Z}\right)^\times$.

$n$	$151$	$301$	$401$	$577$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

Coefficient data

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

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

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

$2$	−0.586139	−	1.28703i	−0.414463	−	0.910066i
$2$	−0.586139	−	1.28703i	−0.414463	−	0.910066i
$3$	0.223577	+	1.71756i	0.129082	+	0.991634i
$3$	0.223577	+	1.71756i	0.129082	+	0.991634i
$4$	−1.31288	+	1.50876i	−0.656441	+	0.754378i
$5$	−0.305686	+	2.21507i	−0.136707	+	0.990612i
$5$	−0.305686	+	2.21507i	−0.136707	+	0.990612i
$6$	2.07950	−	1.29448i	0.848952	−	0.528469i
$7$	−1.47604			−0.557892			−0.278946	−	0.960307i	$-0.589985\pi$
$7$	−1.47604			−0.557892			−0.278946	+	0.960307i	$0.589985\pi$
$8$	2.71134	+	0.805374i	0.958604	+	0.284743i
$9$	−2.90003	+	0.768015i	−0.966675	+	0.256005i
$10$	3.03004	−	0.904916i	0.958182	−	0.286160i
$11$	−0.536105	+	0.737886i	−0.161642	+	0.222481i	−0.882154	−	0.470962i	$-0.843907\pi$
$11$	−0.536105	+	0.737886i	−0.161642	+	0.222481i	0.720512	+	0.693443i	$0.243907\pi$
$12$	−2.88491	−	1.91763i	−0.832801	−	0.553572i
$13$	−4.34207	+	3.15470i	−1.20427	+	0.874956i	−0.994698	−	0.102836i	$-0.967208\pi$
$13$	−4.34207	+	3.15470i	−1.20427	+	0.874956i	−0.209576	+	0.977792i	$0.567208\pi$
$14$	0.865167	+	1.89971i	0.231225	+	0.507718i
$15$	−3.87287	−	0.0297937i	−0.999970	−	0.00769271i
$16$	−0.552686	−	3.96163i	−0.138171	−	0.990408i
$17$	2.18574	−	6.72702i	0.530120	−	1.63154i	−0.223844	−	0.974625i	$-0.571860\pi$
$17$	2.18574	−	6.72702i	0.530120	−	1.63154i	0.753963	−	0.656916i	$-0.228140\pi$
$18$	2.68828	+	3.28225i	0.633633	+	0.773634i
$19$	0.235261	−	0.724060i	0.0539726	−	0.166111i	−0.920437	−	0.390892i	$-0.872167\pi$
$19$	0.235261	−	0.724060i	0.0539726	−	0.166111i	0.974409	+	0.224781i	$0.0721667\pi$
$20$	−2.94068	−	3.36934i	−0.657555	−	0.753406i
$21$	−0.330009	−	2.53519i	−0.0720140	−	0.553224i
$22$	1.26391	+	0.257479i	0.269467	+	0.0548946i
$23$	2.16707	−	2.98271i	0.451865	−	0.621938i	−0.520932	−	0.853598i	$-0.674416\pi$
$23$	2.16707	−	2.98271i	0.451865	−	0.621938i	0.972797	+	0.231660i	$0.0744156\pi$
$24$	−0.777084	+	4.83696i	−0.158622	+	0.987339i
$25$	−4.81311	−	1.35423i	−0.962622	−	0.270847i
$26$	6.60524	+	3.73927i	1.29540	+	0.733332i
$27$	−1.96749	−	4.80926i	−0.378644	−	0.925542i
$28$	1.93787	−	2.22699i	0.366223	−	0.420861i
$29$	0.203775	+	0.627154i	0.0378400	+	0.116460i	0.968192	−	0.250207i	$-0.0804988\pi$
$29$	0.203775	+	0.627154i	0.0378400	+	0.116460i	−0.930352	+	0.366667i	$0.880499\pi$
$30$	2.23170	+	5.00195i	0.407450	+	0.913228i
$31$	−3.25079	−	1.05624i	−0.583859	−	0.189707i	0.00216978	−	0.999998i	$-0.499309\pi$
$31$	−3.25079	−	1.05624i	−0.583859	−	0.189707i	−0.586028	+	0.810290i	$0.699309\pi$
$32$	−4.77478	+	3.03339i	−0.844070	+	0.536233i
$33$	−1.38722	−	0.755819i	−0.241485	−	0.131571i
$34$	−9.93901	+	1.12986i	−1.70453	+	0.193770i
$35$	0.451205	−	3.26954i	0.0762676	−	0.552654i
$36$	2.64864	−	5.38374i	0.441441	−	0.897290i
$37$	−4.66999	+	3.39294i	−0.767741	+	0.557796i	−0.901275	−	0.433248i	$-0.857368\pi$
$37$	−4.66999	+	3.39294i	−0.767741	+	0.557796i	0.133534	+	0.991044i	$0.457368\pi$
$38$	−1.06978	+	0.121612i	−0.173541	+	0.0197281i
$39$	−6.38917	−	6.75245i	−1.02309	−	1.08126i
$40$	−2.61278	+	5.75963i	−0.413117	+	0.910678i
$41$	3.62063	+	4.98337i	0.565448	+	0.778272i	0.992006	−	0.126188i	$-0.0402743\pi$
$41$	3.62063	+	4.98337i	0.565448	+	0.778272i	−0.426559	+	0.904460i	$0.640274\pi$
$42$	−3.06943	+	1.91071i	−0.473623	+	0.294829i
$43$		−	3.92012i		−	0.597813i	−0.954282	−	0.298906i	$-0.903378\pi$
$43$		−	3.92012i		−	0.597813i	0.954282	−	0.298906i	$-0.0966219\pi$
$44$	−0.409446	−	1.77761i	−0.0617264	−	0.267985i
$45$	−0.814713	−	6.65855i	−0.121450	−	0.992598i
$46$	−5.10903	−	1.04079i	−0.753286	−	0.153456i
$47$	−4.90302	+	1.59309i	−0.715179	+	0.232376i	−0.643932	−	0.765083i	$-0.722698\pi$
$47$	−4.90302	+	1.59309i	−0.715179	+	0.232376i	−0.0712471	+	0.997459i	$0.522698\pi$
$48$	6.68078	−	1.83500i	0.964287	−	0.264860i
$49$	−4.82130			−0.688757
$50$	1.07822	+	6.98838i	0.152483	+	0.988306i
$51$	12.0427	+	2.25013i	1.68632	+	0.315082i
$52$	0.940954	−	10.6929i	0.130487	−	1.48283i
$53$	−8.05205	+	2.61627i	−1.10603	+	0.359372i	−0.804422	−	0.594058i	$-0.797525\pi$
$53$	−8.05205	+	2.61627i	−1.10603	+	0.359372i	−0.301612	+	0.953431i	$0.597525\pi$
$54$	−5.03643	+	5.35111i	−0.685371	+	0.728194i
$55$	−1.47059	−	1.41307i	−0.198295	−	0.190539i
$56$	−4.00206	−	1.18877i	−0.534797	−	0.158855i
$57$	1.29622	+	0.242192i	0.171688	+	0.0320791i
$58$	0.687725	−	0.629864i	0.0903027	−	0.0827052i
$59$	8.77096	+	12.0722i	1.14188	+	1.57166i	0.763232	+	0.646125i	$0.223611\pi$
$59$	8.77096	+	12.0722i	1.14188	+	1.57166i	0.378650	+	0.925540i	$0.376389\pi$
$60$	5.12957	−	5.80410i	0.662224	−	0.749306i
$61$	−1.97170	+	2.71382i	−0.252451	+	0.347468i	−0.916368	−	0.400338i	$-0.868893\pi$
$61$	−1.97170	+	2.71382i	−0.252451	+	0.347468i	0.663917	+	0.747806i	$0.268893\pi$
$62$	0.545998	+	4.80296i	0.0693418	+	0.609977i
$63$	4.28056	−	1.13362i	0.539300	−	0.142823i
$64$	6.70275	+	4.36729i	0.837843	+	0.545911i
$65$	−5.66058	−	10.5824i	−0.702109	−	1.31258i
$66$	−0.159653	+	2.22841i	−0.0196519	+	0.274298i
$67$	4.51522	+	1.46708i	0.551621	+	0.179233i	0.571548	−	0.820569i	$-0.306343\pi$
$67$	4.51522	+	1.46708i	0.551621	+	0.179233i	−0.0199263	+	0.999801i	$0.506343\pi$
$68$	7.27981	+	12.1295i	0.882806	+	1.47092i
$69$	5.60749	+	3.05520i	0.675063	+	0.367803i
$70$	−4.47246	+	1.33569i	−0.534562	+	0.159646i
$71$	1.57843	+	4.85790i	0.187325	+	0.576527i	0.999981	−	0.00621731i	$-0.00197904\pi$
$71$	1.57843	+	4.85790i	0.187325	+	0.576527i	−0.812656	+	0.582744i	$0.801979\pi$
$72$	−8.48150	−	0.253255i	−0.999554	−	0.0298463i
$73$	−7.05593	+	9.71166i	−0.825835	+	1.13666i	0.162850	+	0.986651i	$0.447931\pi$
$73$	−7.05593	+	9.71166i	−0.825835	+	1.13666i	−0.988684	+	0.150013i	$0.952069\pi$
$74$	7.10408	+	4.02166i	0.825832	+	0.467509i
$75$	1.24988	−	8.56959i	0.144323	−	0.989531i
$76$	0.783559	+	1.30556i	0.0898804	+	0.149758i
$77$	0.791314	−	1.08915i	0.0901786	−	0.124120i
$78$	−4.94564	+	12.1809i	−0.559984	+	1.37922i
$79$	4.20401	−	1.36596i	0.472988	−	0.153683i	−0.0628169	−	0.998025i	$-0.520008\pi$
$79$	4.20401	−	1.36596i	0.472988	−	0.153683i	0.535804	+	0.844342i	$0.320008\pi$
$80$	8.94426	−	0.0132246i	0.999999	−	0.00147855i
$81$	7.82031	−	4.45453i	0.868923	−	0.494947i
$82$	4.29154	−	7.58080i	0.473922	−	0.837160i
$83$	3.26583	−	10.0512i	0.358471	−	1.10326i	−0.595498	−	0.803357i	$-0.703045\pi$
$83$	3.26583	−	10.0512i	0.358471	−	1.10326i	0.953969	−	0.299904i	$-0.0969548\pi$
$84$	4.25825	+	2.83050i	0.464613	+	0.308833i
$85$	14.2327	+	6.89793i	1.54375	+	0.748186i
$86$	−5.04531	+	2.29774i	−0.544049	+	0.247771i
$87$	−1.03162	+	0.490213i	−0.110601	+	0.0525564i
$88$	−2.04784	+	1.56890i	−0.218300	+	0.167245i
$89$	−4.83327	+	6.65243i	−0.512326	+	0.705156i	−0.984309	−	0.176451i	$-0.943538\pi$
$89$	−4.83327	+	6.65243i	−0.512326	+	0.705156i	0.471983	+	0.881607i	$0.343538\pi$
$90$	−8.09220	+	4.95139i	−0.852993	+	0.521923i
$91$	6.40908	−	4.65647i	0.671854	−	0.488131i
$92$	1.65508	+	7.18552i	0.172554	+	0.749142i
$93$	1.08736	−	5.81958i	0.112754	−	0.603462i
$94$	4.92420	+	5.37655i	0.507892	+	0.554549i
$95$	1.53193	+	0.742456i	0.157173	+	0.0761744i
$96$	−6.27756	−	7.52278i	−0.640701	−	0.767790i
$97$	−10.3792	+	3.37242i	−1.05385	+	0.342417i	−0.784179	−	0.620535i	$-0.786916\pi$
$97$	−10.3792	+	3.37242i	−1.05385	+	0.342417i	−0.269673	+	0.962952i	$0.586916\pi$
$98$	2.82595	+	6.20515i	0.285464	+	0.626814i
$99$	0.988013	−	2.55163i	0.0992990	−	0.256448i
$100$	8.36225	−	5.48386i	0.836225	−	0.548386i
$101$	−14.9919			−1.49175			−0.745876	−	0.666085i	$-0.767969\pi$
$101$	−14.9919			−1.49175			−0.745876	+	0.666085i	$0.767969\pi$
$102$	−4.16274	−	16.8182i	−0.412173	−	1.66525i
$103$	−4.11031	−	12.6502i	−0.405001	−	1.24647i	−0.920894	−	0.389813i	$-0.872540\pi$
$103$	−4.11031	−	12.6502i	−0.405001	−	1.24647i	0.515893	−	0.856653i	$-0.327460\pi$
$104$	−14.3135	+	5.05648i	−1.40356	+	0.495828i
$105$	5.71652	+	0.0439768i	0.557875	+	0.00429170i
$106$	8.08684	+	8.82971i	0.785463	+	0.857618i
$107$	−1.46271			−0.141405			−0.0707027	−	0.997497i	$-0.522524\pi$
$107$	−1.46271			−0.141405			−0.0707027	+	0.997497i	$0.522524\pi$
$108$	9.83908	+	3.34552i	0.946766	+	0.321923i
$109$	5.78662	+	7.96460i	0.554258	+	0.762870i	0.990582	−	0.136919i	$-0.0437200\pi$
$109$	5.78662	+	7.96460i	0.554258	+	0.762870i	−0.436325	+	0.899789i	$0.643720\pi$
$110$	−0.956695	+	2.72095i	−0.0912172	+	0.259433i
$111$	−6.87169	−	7.26240i	−0.652232	−	0.689316i
$112$	0.815788	+	5.84754i	0.0770847	+	0.552540i
$113$	2.63426	−	1.91390i	0.247810	−	0.180045i	−0.456945	−	0.889495i	$-0.651057\pi$
$113$	2.63426	−	1.91390i	0.247810	−	0.180045i	0.704756	+	0.709450i	$0.251057\pi$
$114$	−0.448055	−	1.81022i	−0.0419642	−	0.169543i
$115$	5.94449	+	5.71199i	0.554326	+	0.532645i
$116$	−1.21375	−	0.515933i	−0.112694	−	0.0479032i
$117$	10.1693	−	12.4835i	0.940149	−	1.15410i
$118$	10.3962	−	18.3645i	0.957051	−	1.69058i
$119$	−3.22625	+	9.92936i	−0.295749	+	0.910223i
$120$	−10.4767	−	3.19989i	−0.956385	−	0.292108i
$121$	3.14212	+	9.67045i	0.285647	+	0.879132i
$122$	4.64845	+	0.946962i	0.420851	+	0.0857339i
$123$	−7.74975	+	7.33282i	−0.698771	+	0.661178i
$124$	5.86151	−	3.51792i	0.526379	−	0.315918i
$125$	4.47103	−	10.2474i	0.399901	−	0.916558i
$126$	−3.96801	−	4.84474i	−0.353498	−	0.431604i
$127$	5.12347	+	3.72242i	0.454635	+	0.330311i	0.791423	−	0.611269i	$-0.209341\pi$
$127$	5.12347	+	3.72242i	0.454635	+	0.330311i	−0.336788	+	0.941580i	$0.609341\pi$
$128$	1.69208	−	11.1865i	0.149560	−	0.988753i
$129$	6.73304	−	0.876450i	0.592811	−	0.0771671i
$130$	−10.3019	+	13.4881i	−0.903536	+	1.18298i
$131$	2.23994	+	0.727801i	0.195705	+	0.0635883i	0.405229	−	0.914215i	$-0.367192\pi$
$131$	2.23994	+	0.727801i	0.195705	+	0.0635883i	−0.209525	+	0.977803i	$0.567192\pi$
$132$	2.96161	−	1.10068i	0.257775	−	0.0958020i
$133$	−0.347256	+	1.06874i	−0.0301109	+	0.0926718i
$134$	−0.758370	−	6.67112i	−0.0655132	−	0.576297i
$135$	11.2543	−	2.88802i	0.968616	−	0.248561i
$136$	11.3441	−	16.4789i	0.972744	−	1.41305i
$137$	−8.01641	+	5.82426i	−0.684888	+	0.497600i	−0.874976	−	0.484167i	$-0.839123\pi$
$137$	−8.01641	+	5.82426i	−0.684888	+	0.497600i	0.190088	+	0.981767i	$0.439123\pi$
$138$	0.645356	−	9.00777i	0.0549364	−	0.766792i
$139$	−10.4708	−	7.60751i	−0.888125	−	0.645261i	0.0472634	−	0.998882i	$-0.484950\pi$
$139$	−10.4708	−	7.60751i	−0.888125	−	0.645261i	−0.935388	+	0.353622i	$0.884950\pi$
$140$	4.34056	+	4.97328i	0.366845	+	0.420319i
$141$	−3.83243	−	8.06505i	−0.322749	−	0.679200i
$142$	5.32707	−	4.87889i	0.447038	−	0.409427i
$143$		−	4.89520i		−	0.409358i
$144$	4.64540	+	11.0644i	0.387116	+	0.922031i
$145$	−1.45149	+	0.259664i	−0.120539	+	0.0215639i
$146$	16.6349	+	3.38880i	1.37672	+	0.280459i
$147$	−1.07793	−	8.28087i	−0.0889064	−	0.682995i
$148$	1.01202	−	11.5004i	0.0831871	−	0.945327i
$149$	15.4441			1.26523			0.632613	−	0.774468i	$-0.281982\pi$
$149$	15.4441			1.26523			0.632613	+	0.774468i	$0.281982\pi$
$150$	−11.7619	+	3.41435i	−0.960355	+	0.278780i
$151$			20.8534i			1.69702i	0.529178	+	0.848511i	$0.322500\pi$
$151$			20.8534i			1.69702i	−0.529178	+	0.848511i	$0.677500\pi$
$152$	1.22101	−	1.77370i	0.0990372	−	0.143866i
$153$	−1.17226	+	21.1872i	−0.0947713	+	1.71288i
$154$	−1.86559	−	0.380049i	−0.150333	−	0.0306253i
$155$	3.33338	−	6.87786i	0.267744	−	0.552443i
$156$	18.5760	−	0.774537i	1.48727	−	0.0620126i
$157$	−14.1024			−1.12549			−0.562747	−	0.826629i	$-0.690255\pi$
$157$	−14.1024			−1.12549			−0.562747	+	0.826629i	$0.690255\pi$
$158$	−4.22217	−	4.61003i	−0.335898	−	0.366754i
$159$	−6.29386	−	13.2449i	−0.499135	−	1.05039i
$160$	−5.25960	−	11.5038i	−0.415808	−	0.909452i
$161$	−3.19868	+	4.40261i	−0.252091	+	0.346974i
$162$	−10.3169	−	7.45398i	−0.810571	−	0.585640i
$163$	−11.3005	−	15.5538i	−0.885122	−	1.21827i	−0.974976	−	0.222311i	$-0.928640\pi$
$163$	−11.3005	−	15.5538i	−0.885122	−	1.21827i	0.0898540	−	0.995955i	$-0.471360\pi$
$164$	−12.2721	−	1.07993i	−0.958294	−	0.0843282i
$165$	2.09825	−	2.84176i	0.163349	−	0.221231i
$166$	−14.8504	+	1.68818i	−1.15261	+	0.131029i
$167$	1.56206	+	0.507544i	0.120876	+	0.0392749i	0.368830	−	0.929497i	$-0.379758\pi$
$167$	1.56206	+	0.507544i	0.120876	+	0.0392749i	−0.247954	+	0.968772i	$0.579758\pi$
$168$	1.14701	−	7.13955i	0.0884936	−	0.550828i
$169$	4.88423	−	15.0321i	0.375710	−	1.15632i
$170$	0.535488	−	22.3610i	0.0410701	−	1.71501i
$171$	−0.126175	+	2.28048i	−0.00964887	+	0.174392i
$172$	5.91450	+	5.14665i	0.450977	+	0.392429i
$173$	0.170155	−	0.234199i	0.0129367	−	0.0178058i	−0.802500	−	0.596653i	$-0.796497\pi$
$173$	0.170155	−	0.234199i	0.0129367	−	0.0178058i	0.815436	+	0.578847i	$0.196497\pi$
$174$	1.23559	+	1.04039i	0.0936697	+	0.0788714i
$175$	7.10436	+	1.99891i	0.537039	+	0.151103i
$176$	3.21953	+	1.71603i	0.242681	+	0.129351i
$177$	−18.7737	+	17.7637i	−1.41112	+	1.33520i
$178$	11.3948	+	2.32131i	0.854079	+	0.173989i
$179$	−20.5092	+	6.66383i	−1.53293	+	0.498078i	−0.949415	−	0.314026i	$-0.898322\pi$
$179$	−20.5092	+	6.66383i	−1.53293	+	0.498078i	−0.583513	+	0.812104i	$0.698322\pi$
$180$	11.1157	+	7.51268i	0.828518	+	0.559962i
$181$	17.3582	+	5.64002i	1.29022	+	0.419219i	0.872170	−	0.489203i	$-0.162712\pi$
$181$	17.3582	+	5.64002i	1.29022	+	0.419219i	0.418054	+	0.908422i	$0.362712\pi$
$182$	−9.74962	−	5.51933i	−0.722690	−	0.409120i
$183$	−5.10197	−	2.77977i	−0.377148	−	0.205486i
$184$	8.27785	−	6.34185i	0.610251	−	0.467527i
$185$	−6.08807	−	11.3815i	−0.447604	−	0.836788i
$186$	−8.12730	+	2.01162i	−0.595923	+	0.147499i
$187$	3.79198	+	5.21922i	0.277297	+	0.381667i
$188$	4.03350	−	9.48899i	0.294173	−	0.692056i
$189$	2.90410	+	7.09867i	0.211242	+	0.516352i
$190$	0.0576370	−	2.40682i	0.00418143	−	0.174609i
$191$	21.2619	−	15.4476i	1.53845	−	1.11775i	0.587158	−	0.809473i	$-0.300247\pi$
$191$	21.2619	−	15.4476i	1.53845	−	1.11775i	0.951296	−	0.308279i	$-0.0997532\pi$
$192$	−6.00250	+	12.4888i	−0.433193	+	0.901301i
$193$		−	6.87149i		−	0.494620i	−0.968936	−	0.247310i	$-0.920453\pi$
$193$		−	6.87149i		−	0.494620i	0.968936	−	0.247310i	$-0.0795467\pi$
$194$	10.4241	+	11.3817i	0.748405	+	0.817156i
$195$	16.9103	−	12.0884i	1.21097	−	0.865666i
$196$	6.32979	−	7.27416i	0.452128	−	0.519583i
$197$	15.0091	−	4.87675i	1.06935	−	0.347454i	0.279117	−	0.960257i	$-0.409958\pi$
$197$	15.0091	−	4.87675i	1.06935	−	0.347454i	0.790235	+	0.612803i	$0.209958\pi$
$198$	−3.86313	+	0.224008i	−0.274540	+	0.0159196i
$199$		−	7.62921i		−	0.540821i	−0.962745	−	0.270410i	$-0.912841\pi$
$199$		−	7.62921i		−	0.540821i	0.962745	−	0.270410i	$-0.0871594\pi$
$200$	−11.9593	−	7.54815i	−0.845652	−	0.533735i
$201$	−1.51030	+	8.08316i	−0.106529	+	0.570142i
$202$	8.78735	+	19.2950i	0.618276	+	1.35759i
$203$	−0.300780	−	0.925707i	−0.0211106	−	0.0649719i
$204$	−19.2056	+	15.2154i	−1.34466	+	1.06529i
$205$	−12.1453	+	6.49662i	−0.848266	+	0.453744i
$206$	−13.8720	+	12.7049i	−0.966508	+	0.885192i
$207$	−3.99378	+	10.3143i	−0.277587	+	0.716892i
$208$	14.8976	+	15.4581i	1.03296	+	1.07183i
$209$	0.408149	+	0.561768i	0.0282322	+	0.0388583i
$210$	−3.29408	−	7.38309i	−0.227313	−	0.509482i
$211$	14.9820	+	10.8851i	1.03141	+	0.749361i	0.968590	−	0.248665i	$-0.0799917\pi$
$211$	14.9820	+	10.8851i	1.03141	+	0.749361i	0.0628166	+	0.998025i	$0.479992\pi$
$212$	6.62407	−	15.5834i	0.454943	−	1.07027i
$213$	−7.99084	+	3.79716i	−0.547523	+	0.260177i
$214$	0.857352	+	1.88255i	0.0586074	+	0.128688i
$215$	8.68336	+	1.19833i	0.592200	+	0.0817252i
$216$	−1.46129	−	14.6241i	−0.0994282	−	0.995045i
$217$	4.79830	+	1.55906i	0.325730	+	0.105836i
$218$	6.85890	−	12.1159i	0.464543	−	0.820593i
$219$	−18.2579	−	9.94768i	−1.23375	−	0.672202i
$220$	4.06270	−	0.363565i	0.273907	−	0.0245115i
$221$	11.7311	+	36.1045i	0.789118	+	2.42865i
$222$	−5.31914	+	13.1008i	−0.356997	+	0.879270i
$223$	7.18669	+	5.22144i	0.481256	+	0.349653i	0.801812	−	0.597576i	$-0.203870\pi$
$223$	7.18669	+	5.22144i	0.481256	+	0.349653i	−0.320555	+	0.947230i	$0.603870\pi$
$224$	7.04778	−	4.47741i	0.470900	−	0.299160i
$225$	14.9982	+	0.230774i	0.999882	+	0.0153850i
$226$	−4.00729	−	2.26855i	−0.266561	−	0.150902i
$227$	10.8630	+	7.89245i	0.721004	+	0.523840i	0.886705	−	0.462336i	$-0.152989\pi$
$227$	10.8630	+	7.89245i	0.721004	+	0.523840i	−0.165701	+	0.986176i	$0.552989\pi$
$228$	−2.06719	+	1.63770i	−0.136903	+	0.108459i
$229$	4.70267	−	1.52799i	0.310761	−	0.100972i	−0.149484	−	0.988764i	$-0.547761\pi$
$229$	4.70267	−	1.52799i	0.310761	−	0.100972i	0.460246	+	0.887792i	$0.347761\pi$
$230$	3.86719	−	10.9987i	0.254995	−	0.725235i
$231$	2.04760	+	1.11562i	0.134722	+	0.0734024i
$232$	0.0474095	+	1.86454i	0.00311258	+	0.122413i
$233$	−1.18426	+	3.64477i	−0.0775832	+	0.238777i	−0.982325	−	0.187184i	$-0.940064\pi$
$233$	−1.18426	+	3.64477i	−0.0775832	+	0.238777i	0.904742	+	0.425961i	$0.140064\pi$
$234$	−22.0272	−	5.77106i	−1.43996	−	0.377266i
$235$	−2.03002	−	11.3475i	−0.132424	−	0.740232i
$236$	−29.7292	−	2.61612i	−1.93521	−	0.170295i
$237$	3.28605	+	6.91523i	0.213452	+	0.449193i
$238$	14.6704	−	1.66772i	0.950941	−	0.108102i
$239$	−20.9577	−	15.2267i	−1.35564	−	0.984932i	−0.998709	−	0.0508026i	$-0.983822\pi$
$239$	−20.9577	−	15.2267i	−1.35564	−	0.984932i	−0.356934	−	0.934130i	$-0.616178\pi$
$240$	2.02245	+	15.3594i	0.130548	+	0.991442i
$241$	−6.95611	+	5.05391i	−0.448082	+	0.325551i	−0.788838	−	0.614601i	$-0.789317\pi$
$241$	−6.95611	+	5.05391i	−0.448082	+	0.325551i	0.340756	+	0.940152i	$0.389317\pi$
$242$	10.6044	−	9.71223i	0.681678	−	0.624326i
$243$	9.39936	+	12.4359i	0.602969	+	0.797764i
$244$	−1.50587	−	6.53773i	−0.0964036	−	0.418535i
$245$	1.47380	−	10.6795i	0.0941578	−	0.682291i
$246$	13.9800	+	5.67609i	0.891331	+	0.361894i
$247$	1.26267	+	3.88610i	0.0803417	+	0.247266i
$248$	−7.96332	−	5.48194i	−0.505672	−	0.348104i
$249$	17.9937	+	3.36204i	1.14030	+	0.213061i
$250$	−15.8094	+	0.252082i	−0.999873	+	0.0159431i
$251$			11.6456i			0.735067i	0.930010	+	0.367533i	$0.119798\pi$
$251$			11.6456i			0.735067i	−0.930010	+	0.367533i	$0.880202\pi$
$252$	−3.90951	+	7.94663i	−0.246276	+	0.500591i
$253$	1.03912	+	3.19809i	0.0653292	+	0.201062i
$254$	1.78779	−	8.77591i	0.112176	−	0.550650i
$255$	−8.66551	+	25.9877i	−0.542655	+	1.62742i
$256$	−15.3891	+	4.37908i	−0.961817	+	0.273692i
$257$	−8.81024			−0.549568			−0.274784	−	0.961506i	$-0.588606\pi$
$257$	−8.81024			−0.549568			−0.274784	+	0.961506i	$0.588606\pi$
$258$	−5.07452	−	8.15189i	−0.315926	−	0.507515i
$259$	6.89310	−	5.00813i	0.428316	−	0.311190i
$260$	23.3979	+	5.35294i	1.45107	+	0.331975i
$261$	−1.07262	−	1.66226i	−0.0663933	−	0.102891i
$262$	−0.376218	−	3.30946i	−0.0232428	−	0.204459i
$263$	7.17890	+	9.88090i	0.442670	+	0.609283i	0.970803	−	0.239879i	$-0.0771078\pi$
$263$	7.17890	+	9.88090i	0.442670	+	0.609283i	−0.528133	+	0.849162i	$0.677108\pi$
$264$	−3.15252	−	3.16652i	−0.194024	−	0.194886i
$265$	−3.33383	−	18.6356i	−0.204796	−	1.14478i
$266$	1.57904	−	0.179505i	0.0968173	−	0.0110061i
$267$	−12.5066	−	6.81411i	−0.765389	−	0.417017i
$268$	−8.14141	+	4.88625i	−0.497316	+	0.298475i
$269$	−8.74298	+	26.9081i	−0.533069	+	1.64062i	0.214717	+	0.976676i	$0.431117\pi$
$269$	−8.74298	+	26.9081i	−0.533069	+	1.64062i	−0.747785	+	0.663941i	$0.768883\pi$
$270$	−10.3136	−	12.7918i	−0.627663	−	0.778485i
$271$	−22.5131	+	7.31496i	−1.36757	+	0.444352i	−0.898565	−	0.438841i	$-0.855389\pi$
$271$	−22.5131	+	7.31496i	−1.36757	+	0.444352i	−0.469010	+	0.883193i	$0.655389\pi$
$272$	−27.8580	−	4.94118i	−1.68914	−	0.299603i
$273$	9.43069	+	9.96690i	0.570771	+	0.603224i
$274$	12.1947	+	6.90351i	0.736710	+	0.417056i
$275$	3.57961	−	2.82551i	0.215858	−	0.170385i
$276$	−11.9715	+	4.44922i	−0.720601	+	0.267811i
$277$	−10.1520	−	7.37585i	−0.609974	−	0.443172i	0.239431	−	0.970913i	$-0.423039\pi$
$277$	−10.1520	−	7.37585i	−0.609974	−	0.443172i	−0.849405	+	0.527742i	$0.823039\pi$
$278$	−3.65371	+	17.9353i	−0.219135	+	1.07569i
$279$	10.2386	+	0.566485i	0.612968	+	0.0339146i
$280$	3.85658	−	8.50146i	0.230475	−	0.508060i
$281$	15.5603	+	5.05586i	0.928253	+	0.301608i	0.733848	−	0.679314i	$-0.237723\pi$
$281$	15.5603	+	5.05586i	0.928253	+	0.301608i	0.194405	+	0.980921i	$0.437723\pi$
$282$	−8.13361	+	9.65968i	−0.484349	+	0.575226i
$283$	−8.52457	−	2.76980i	−0.506733	−	0.164647i	0.0444830	−	0.999010i	$-0.485836\pi$
$283$	−8.52457	−	2.76980i	−0.506733	−	0.164647i	−0.551216	+	0.834363i	$0.685836\pi$
$284$	−9.40167	−	3.99638i	−0.557887	−	0.237142i
$285$	−0.932708	+	2.79718i	−0.0552489	+	0.165691i
$286$	−6.30026	+	2.86927i	−0.372542	+	0.169664i
$287$	−5.34421	−	7.35567i	−0.315458	−	0.434191i
$288$	11.5173	−	12.4640i	0.678664	−	0.734449i
$289$	−26.7220	−	19.4147i	−1.57188	−	1.14204i
$290$	1.18497	+	1.71590i	0.0695837	+	0.100761i
$291$	−8.11290	−	17.0730i	−0.475586	−	1.00084i
$292$	−5.38892	−	23.3959i	−0.315362	−	1.36914i
$293$			20.6912i			1.20879i	0.796684	+	0.604396i	$0.206585\pi$
$293$			20.6912i			1.20879i	−0.796684	+	0.604396i	$0.793415\pi$
$294$	−10.0259	+	6.24107i	−0.584722	+	0.363987i
$295$	−29.4220	+	15.7380i	−1.71301	+	0.916303i
$296$	−15.3945	+	5.43835i	−0.894788	+	0.316097i
$297$	4.60347	+	1.12649i	0.267120	+	0.0653653i
$298$	−9.05237	−	19.8769i	−0.524390	−	1.15144i
$299$			19.7876i			1.14435i
$300$	11.2885	+	13.1366i	0.651740	+	0.758442i
$301$			5.78626i			0.333515i
$302$	26.8388	−	12.2230i	1.54440	−	0.703353i
$303$	−3.35185	−	25.7495i	−0.192559	−	1.47927i
$304$	−2.99848	−	0.531841i	−0.171975	−	0.0305032i
$305$	−5.40858	−	5.19704i	−0.309694	−	0.297582i
$306$	27.9556	−	10.9099i	1.59812	−	0.623679i
$307$			24.2712i			1.38523i	0.721307	+	0.692615i	$0.243542\pi$
$307$			24.2712i			1.38523i	−0.721307	+	0.692615i	$0.756458\pi$
$308$	0.604360	+	2.62383i	0.0344366	+	0.149506i
$309$	20.8086	−	9.88802i	1.18376	−	0.562510i
$310$	−10.8058	−	0.258771i	−0.613729	−	0.0146972i
$311$	−6.50145	−	4.72358i	−0.368664	−	0.267850i	0.387993	−	0.921662i	$-0.373168\pi$
$311$	−6.50145	−	4.72358i	−0.368664	−	0.267850i	−0.756657	+	0.653813i	$0.773168\pi$
$312$	−11.8850	−	23.4539i	−0.672855	−	1.32781i
$313$	0.190794	+	0.262606i	0.0107843	+	0.0148434i	0.814375	−	0.580339i	$-0.197080\pi$
$313$	0.190794	+	0.262606i	0.0107843	+	0.0148434i	−0.803591	+	0.595182i	$0.797080\pi$
$314$	8.26597	+	18.1502i	0.466476	+	1.02427i
$315$	1.20255	+	9.82830i	0.0677561	+	0.553762i
$316$	−3.45845	+	8.13616i	−0.194553	+	0.457695i
$317$	−14.0729	−	4.57256i	−0.790412	−	0.256820i	−0.114132	−	0.993466i	$-0.536409\pi$
$317$	−14.0729	−	4.57256i	−0.790412	−	0.256820i	−0.676279	+	0.736645i	$0.736409\pi$
$318$	−13.3575	+	15.8637i	−0.749053	+	0.889595i
$319$	−0.572013	−	0.185858i	−0.0320266	−	0.0104061i
$320$	−11.7228	+	13.5121i	−0.655325	+	0.755347i
$321$	−0.327029	−	2.51229i	−0.0182530	−	0.140222i
$322$	7.54115	+	1.53625i	0.420252	+	0.0856119i
$323$	−4.35654	−	3.16521i	−0.242405	−	0.176117i
$324$	−3.54634	+	17.6472i	−0.197019	+	0.980400i
$325$	25.1711	−	9.30374i	1.39624	−	0.516079i
$326$	−13.3945	+	23.6607i	−0.741852	+	1.31045i
$327$	−12.3859	+	11.7196i	−0.684943	+	0.648094i
$328$	5.80329	+	16.4276i	0.320433	+	0.907062i
$329$	7.23706	−	2.35146i	0.398992	−	0.129640i
$330$	−4.88729	−	1.03484i	−0.269037	−	0.0569659i
$331$	−10.1271	+	31.1680i	−0.556636	+	1.71315i	0.134946	+	0.990853i	$0.456914\pi$
$331$	−10.1271	+	31.1680i	−0.556636	+	1.71315i	−0.691582	+	0.722298i	$0.743086\pi$
$332$	10.8771	+	18.1234i	0.596960	+	0.994648i
$333$	10.9373	−	13.4262i	0.599358	−	0.735754i
$334$	−0.262362	−	2.30791i	−0.0143558	−	0.126283i
$335$	−4.62994	+	9.55307i	−0.252960	+	0.521940i
$336$	−9.86111	+	2.70854i	−0.537968	+	0.147763i
$337$	19.0186	+	26.1769i	1.03601	+	1.42595i	0.900338	+	0.435191i	$0.143319\pi$
$337$	19.0186	+	26.1769i	1.03601	+	1.42595i	0.135672	+	0.990754i	$0.456681\pi$
$338$	−22.2096	+	2.52478i	−1.20804	+	0.137330i
$339$	3.87620	+	4.09660i	0.210527	+	0.222497i
$340$	−29.0931	+	12.4175i	−1.57780	+	0.673433i
$341$	2.52215	−	1.83245i	0.136582	−	0.0992328i
$342$	3.00899	−	1.17429i	0.162708	−	0.0634981i
$343$	17.4487			0.942143
$344$	3.15716	−	10.6288i	0.170223	−	0.573066i
$345$	−8.48163	+	11.4871i	−0.456636	+	0.618444i
$346$	−0.401155	−	0.0817215i	−0.0215662	−	0.00439338i
$347$	6.39849	+	19.6925i	0.343489	+	1.05715i	0.962388	+	0.271679i	$0.0875791\pi$
$347$	6.39849	+	19.6925i	0.343489	+	1.05715i	−0.618899	+	0.785471i	$0.712421\pi$
$348$	0.614778	−	2.20005i	0.0329556	−	0.117935i
$349$		−	25.2430i		−	1.35122i	−0.737257	−	0.675612i	$-0.763879\pi$
$349$		−	25.2430i		−	1.35122i	0.737257	−	0.675612i	$-0.236121\pi$
$350$	−1.59149	−	10.3151i	−0.0850689	−	0.551368i
$351$	23.7148	+	14.6753i	1.26580	+	0.783310i
$352$	0.321490	−	5.14946i	0.0171355	−	0.274467i
$353$	−8.72990	−	26.8679i	−0.464646	−	1.43003i	−0.859427	−	0.511258i	$-0.829180\pi$
$353$	−8.72990	−	26.8679i	−0.464646	−	1.43003i	0.394781	−	0.918775i	$-0.370820\pi$
$354$	33.8664	+	13.7503i	1.79998	+	0.730820i
$355$	−11.2431	+	2.01134i	−0.596723	+	0.106751i
$356$	−3.69138	−	16.0261i	−0.195643	−	0.849380i
$357$	−17.7756	−	3.32129i	−0.940784	−	0.175781i
$358$	20.5978	+	22.4899i	1.08863	+	1.18863i
$359$	14.3910	−	10.4557i	0.759529	−	0.551830i	−0.139237	−	0.990259i	$-0.544465\pi$
$359$	14.3910	−	10.4557i	0.759529	−	0.551830i	0.898766	+	0.438429i	$0.144465\pi$
$360$	3.15365	−	18.7097i	0.166212	−	0.986090i
$361$	14.9024	+	10.8272i	0.784337	+	0.569854i
$362$	−2.91546	−	25.6463i	−0.153233	−	1.34794i
$363$	−15.9071	+	7.55887i	−0.834905	+	0.396738i
$364$	−1.38889	+	15.7831i	−0.0727975	+	0.827261i
$365$	−19.3552	−	18.5981i	−1.01309	−	0.973471i
$366$	−0.587176	+	8.19571i	−0.0306922	+	0.428397i
$367$	1.72278	−	5.30217i	0.0899284	−	0.276771i	−0.895970	−	0.444114i	$-0.853519\pi$
$367$	1.72278	−	5.30217i	0.0899284	−	0.276771i	0.985899	+	0.167343i	$0.0535186\pi$
$368$	−13.0141	−	6.93662i	−0.678408	−	0.361596i
$369$	−14.3272	−	11.6712i	−0.745846	−	0.607579i
$370$	−11.0799	+	14.5067i	−0.576017	+	0.754167i
$371$	11.8852	−	3.86172i	0.617047	−	0.200491i
$372$	7.35274	+	9.28098i	0.381222	+	0.481196i
$373$	−24.0659	−	17.4849i	−1.24609	−	0.905335i	−0.248099	−	0.968735i	$-0.579806\pi$
$373$	−24.0659	−	17.4849i	−1.24609	−	0.905335i	−0.997988	+	0.0633995i	$0.979806\pi$
$374$	4.49465	−	7.93958i	0.232413	−	0.410546i
$375$	18.6002	+	5.38817i	0.960510	+	0.278244i
$376$	−14.5768	+	0.370642i	−0.751740	+	0.0191144i
$377$	−2.86329	−	2.08030i	−0.147467	−	0.107141i
$378$	7.43398	−	7.89847i	0.382363	−	0.406253i
$379$	−6.37438	−	19.6183i	−0.327430	−	1.00773i	−0.970332	−	0.241777i	$-0.922270\pi$
$379$	−6.37438	−	19.6183i	−0.327430	−	1.00773i	0.642902	−	0.765948i	$-0.277730\pi$
$380$	−3.13143	+	1.33655i	−0.160639	+	0.0685636i
$381$	−5.24799	+	9.63212i	−0.268863	+	0.493469i
$382$	−32.3440	−	18.3101i	−1.65486	−	0.936827i
$383$	33.9753	+	11.0392i	1.73606	+	0.564079i	0.994303	−	0.106595i	$-0.0339949\pi$
$383$	33.9753	+	11.0392i	1.73606	+	0.564079i	0.741753	+	0.670674i	$0.233995\pi$
$384$	19.5917	+	0.405204i	0.999786	+	0.0206780i
$385$	2.17066	+	2.08576i	0.110627	+	0.106300i
$386$	−8.84379	+	4.02765i	−0.450137	+	0.205002i
$387$	3.01071	+	11.3685i	0.153043	+	0.577891i
$388$	8.53855	−	20.0873i	0.433479	−	1.01978i
$389$	−10.1156	−	7.34945i	−0.512884	−	0.372632i	0.301033	−	0.953614i	$-0.402669\pi$
$389$	−10.1156	−	7.34945i	−0.512884	−	0.372632i	−0.813916	+	0.580982i	$0.802669\pi$
$390$	−25.4698	−	14.6785i	−1.28972	−	0.743275i
$391$	−15.3281	−	21.0973i	−0.775176	−	1.06694i
$392$	−13.0722	−	3.88295i	−0.660245	−	0.196118i
$393$	−0.749242	+	4.00995i	−0.0377943	+	0.202275i
$394$	−15.0739	−	16.4587i	−0.759413	−	0.829175i
$395$	1.74061	+	9.72974i	0.0875795	+	0.489556i
$396$	2.55263	+	4.84065i	0.128275	+	0.243252i
$397$	5.65857	+	17.4153i	0.283995	+	0.874048i	0.986698	+	0.162564i	$0.0519765\pi$
$397$	5.65857	+	17.4153i	0.283995	+	0.874048i	−0.702703	+	0.711484i	$0.748024\pi$
$398$	−9.81901	+	4.47178i	−0.492182	+	0.224150i
$399$	−1.91327	−	0.357486i	−0.0957832	−	0.0178967i
$400$	−2.70484	+	19.8163i	−0.135242	+	0.990813i
$401$		−	35.1271i		−	1.75416i	−0.480341	−	0.877082i	$-0.659487\pi$
$401$		−	35.1271i		−	1.75416i	0.480341	−	0.877082i	$-0.340513\pi$
$402$	11.2885	−	2.79406i	0.563019	−	0.139355i
$403$	17.4473	−	5.66897i	0.869111	−	0.282391i
$404$	19.6826	−	22.6191i	0.979246	−	1.12534i
$405$	7.47655	+	18.6842i	0.371513	+	0.928428i
$406$	−1.01511	+	0.929706i	−0.0503791	+	0.0461405i
$407$		−	5.26489i		−	0.260971i
$408$	30.8398	+	15.7998i	1.52680	+	0.782206i
$409$	−1.41903	+	1.03098i	−0.0701664	+	0.0509788i	−0.622315	−	0.782767i	$-0.713808\pi$
$409$	−1.41903	+	1.03098i	−0.0701664	+	0.0509788i	0.552149	+	0.833745i	$0.313808\pi$
$410$	15.4802	+	11.8234i	0.764512	+	0.583918i
$411$	−11.7958	−	12.4665i	−0.581844	−	0.614927i
$412$	24.4825	+	10.4068i	1.20617	+	0.512707i
$413$	−12.9463	−	17.8191i	−0.637046	−	0.876819i
$414$	15.6157	−	0.905495i	0.767469	−	0.0445026i
$415$	21.2658	+	10.3066i	1.04390	+	0.505929i
$416$	11.1630	−	28.2342i	0.547311	−	1.38430i
$417$	10.7253	−	19.6852i	0.525221	−	0.963987i
$418$	0.483779	−	0.854573i	0.0236624	−	0.0417985i
$419$	13.8809	+	4.51019i	0.678128	+	0.220337i	0.627776	−	0.778394i	$-0.283966\pi$
$419$	13.8809	+	4.51019i	0.678128	+	0.220337i	0.0503524	+	0.998732i	$0.483966\pi$
$420$	−7.57146	+	8.56709i	−0.369449	+	0.418031i
$421$	−0.257110	+	0.0835399i	−0.0125308	+	0.00407149i	−0.315276	−	0.949000i	$-0.602097\pi$
$421$	−0.257110	+	0.0835399i	−0.0125308	+	0.00407149i	0.302745	+	0.953072i	$0.402097\pi$
$422$	5.22785	−	25.6625i	0.254488	−	1.24923i
$423$	12.9954	−	8.38558i	0.631856	−	0.407721i
$424$	−23.9389	+	0.608691i	−1.16258	+	0.0295607i
$425$	−19.6302	+	29.4179i	−0.952203	+	1.42698i
$426$	9.57079	+	8.05876i	0.463706	+	0.390448i
$427$	2.91032	−	4.00571i	0.140840	−	0.193850i
$428$	1.92036	−	2.20687i	0.0928243	−	0.106673i
$429$	8.40781	−	1.09446i	0.405933	−	0.0528408i
$430$	−3.54738	−	11.8781i	−0.171070	−	0.572814i
$431$	3.90922	−	12.0313i	0.188300	−	0.579529i	−0.811689	−	0.584089i	$-0.801452\pi$
$431$	3.90922	−	12.0313i	0.188300	−	0.579529i	0.999990	+	0.00456076i	$0.00145174\pi$
$432$	−17.9651	+	10.4525i	−0.864347	+	0.502896i
$433$	18.1781	+	5.90641i	0.873581	+	0.283844i	0.711290	−	0.702899i	$-0.248111\pi$
$433$	18.1781	+	5.90641i	0.873581	+	0.283844i	0.162292	+	0.986743i	$0.448111\pi$
$434$	−0.805916	−	7.08937i	−0.0386852	−	0.340301i
$435$	−0.770508	−	2.43496i	−0.0369430	−	0.116747i
$436$	−19.6138	−	1.72598i	−0.939330	−	0.0826594i
$437$	−1.64983	−	2.27080i	−0.0789223	−	0.108627i
$438$	−2.10127	+	29.3292i	−0.100403	+	1.40140i
$439$	−11.9991	+	16.5153i	−0.572685	+	0.788233i	−0.992870	−	0.119205i	$-0.961965\pi$
$439$	−11.9991	+	16.5153i	−0.572685	+	0.788233i	0.420185	+	0.907439i	$0.361965\pi$
$440$	−2.84922	−	5.01570i	−0.135831	−	0.239114i
$441$	13.9819	−	3.70283i	0.665804	−	0.176325i
$442$	39.5915	−	36.2605i	1.88318	−	1.72474i
$443$	22.3281			1.06084			0.530419	−	0.847735i	$-0.322034\pi$
$443$	22.3281			1.06084			0.530419	+	0.847735i	$0.322034\pi$
$444$	19.9789	−	0.833030i	0.948156	−	0.0395339i
$445$	−13.2582	−	12.7396i	−0.628497	−	0.603916i
$446$	2.50773	−	12.3100i	0.118745	−	0.582894i
$447$	3.45294	+	26.5261i	0.163318	+	1.25464i
$448$	−9.89354	−	6.44630i	−0.467426	−	0.304559i
$449$		−	15.2019i		−	0.717421i	−0.933449	−	0.358710i	$-0.883217\pi$
$449$		−	15.2019i		−	0.717421i	0.933449	−	0.358710i	$-0.116783\pi$
$450$	−8.49404	−	19.4384i	−0.400413	−	0.916335i
$451$	−5.61820			−0.264551
$452$	−0.570861	+	6.48718i	−0.0268510	+	0.305131i
$453$	−35.8169	+	4.66234i	−1.68282	+	0.219056i
$454$	3.79056	−	18.6071i	0.177900	−	0.873274i
$455$	8.35526	+	15.6200i	0.391701	+	0.732277i
$456$	3.31943	+	1.70060i	0.155446	+	0.0796380i
$457$			19.5507i			0.914543i	0.889327	+	0.457272i	$0.151173\pi$
$457$			19.5507i			0.914543i	−0.889327	+	0.457272i	$0.848827\pi$
$458$	−4.72299	−	5.15685i	−0.220691	−	0.240964i
$459$	−36.6524	+	2.72356i	−1.71079	+	0.127125i
$460$	−16.4224	+	1.46961i	−0.765698	+	0.0685212i
$461$	1.21194	+	0.880524i	0.0564456	+	0.0410101i	0.615650	−	0.788020i	$-0.288893\pi$
$461$	1.21194	+	0.880524i	0.0564456	+	0.0410101i	−0.559205	+	0.829030i	$0.688893\pi$
$462$	0.235655	−	3.28923i	0.0109637	−	0.153029i
$463$	1.78562	−	1.29733i	0.0829849	−	0.0602920i	−0.545519	−	0.838098i	$-0.683668\pi$
$463$	1.78562	−	1.29733i	0.0829849	−	0.0602920i	0.628504	+	0.777806i	$0.283668\pi$
$464$	2.37193	−	1.15390i	0.110114	−	0.0535685i
$465$	12.5584	+	4.18755i	0.582382	+	0.194193i
$466$	5.38506	−	0.612170i	0.249458	−	0.0283582i
$467$	−9.51741	+	29.2916i	−0.440413	+	1.35545i	0.447024	+	0.894522i	$0.352484\pi$
$467$	−9.51741	+	29.2916i	−0.440413	+	1.35545i	−0.887437	+	0.460930i	$0.847516\pi$
$468$	5.48349	+	31.7323i	0.253474	+	1.46682i
$469$	−6.66465	−	2.16548i	−0.307745	−	0.0999924i
$470$	−13.4147	+	9.26393i	−0.618775	+	0.427313i
$471$	−3.15297	−	24.2217i	−0.145281	−	1.11608i
$472$	14.0584	+	39.7957i	0.647092	+	1.83175i
$473$	2.89260	+	2.10160i	0.133002	+	0.0966316i
$474$	6.97402	−	8.28252i	0.320327	−	0.380429i
$475$	−2.11289	+	3.16638i	−0.0969458	+	0.145284i
$476$	−10.7453	−	17.9037i	−0.492510	−	0.820614i
$477$	21.3418	−	13.7713i	0.977175	−	0.630547i
$478$	−7.31301	+	35.8981i	−0.334489	+	1.64194i
$479$	−11.5108	−	35.4267i	−0.525943	−	1.61869i	−0.762443	−	0.647055i	$-0.776000\pi$
$479$	−11.5108	−	35.4267i	−0.525943	−	1.61869i	0.236500	−	0.971631i	$-0.424000\pi$
$480$	18.5825	−	11.6057i	0.848170	−	0.529724i
$481$	9.57370	−	29.4648i	0.436523	−	1.34348i
$482$	10.5818	+	5.99041i	0.481986	+	0.272856i
$483$	−8.27690	−	4.50961i	−0.376612	−	0.205194i
$484$	−18.7156	−	7.95546i	−0.850708	−	0.361612i
$485$	−4.29737	−	24.0217i	−0.195134	−	1.09077i
$486$	10.4960	−	19.3864i	0.476110	−	0.879386i
$487$	16.5892	−	12.0528i	0.751731	−	0.546164i	−0.144632	−	0.989485i	$-0.546200\pi$
$487$	16.5892	−	12.0528i	0.751731	−	0.546164i	0.896363	+	0.443321i	$0.146200\pi$
$488$	−7.53159	+	5.77012i	−0.340939	+	0.261201i
$489$	24.1880	−	22.8867i	1.09382	−	1.03497i
$490$	−14.6087	+	4.36287i	−0.659955	+	0.197094i
$491$	−15.3062	−	21.0671i	−0.690757	−	0.950746i	0.309243	−	0.950983i	$-0.399924\pi$
$491$	−15.3062	−	21.0671i	−0.690757	−	0.950746i	−1.00000		0.000237229i	$0.999924\pi$
$492$	−0.888932	−	21.3196i	−0.0400761	−	0.961162i
$493$	4.66428			0.210069
$494$	4.26141	−	3.90289i	0.191730	−	0.175599i
$495$	5.35002	+	2.96852i	0.240465	+	0.133425i
$496$	−2.38779	+	13.4622i	−0.107215	+	0.604471i
$497$	−2.32983	−	7.17047i	−0.104507	−	0.321639i
$498$	−6.21977	−	25.1290i	−0.278714	−	1.12606i
$499$	−9.63456			−0.431302			−0.215651	−	0.976470i	$-0.569187\pi$
$499$	−9.63456			−0.431302			−0.215651	+	0.976470i	$0.569187\pi$
$500$	9.59094	+	20.1994i	0.428920	+	0.903343i
$501$	−0.522496	+	2.79641i	−0.0233434	+	0.124934i
$502$	14.9883	−	6.82597i	0.668959	−	0.304658i
$503$	6.62224	−	2.15170i	0.295271	−	0.0959394i	−0.157635	−	0.987497i	$-0.550387\pi$
$503$	6.62224	−	2.15170i	0.295271	−	0.0959394i	0.452907	+	0.891558i	$0.350387\pi$
$504$	12.5191	+	0.373815i	0.557643	+	0.0166510i
$505$	4.58282	−	33.2082i	0.203933	−	1.47775i
$506$	3.50697	−	3.21191i	0.155904	−	0.142787i
$507$	26.9106	+	5.02812i	1.19514	+	0.223307i
$508$	−12.3427	+	2.84297i	−0.547620	+	0.126136i
$509$	17.3660	−	12.6171i	0.769734	−	0.559244i	−0.132146	−	0.991230i	$-0.542187\pi$
$509$	17.3660	−	12.6171i	0.769734	−	0.559244i	0.901880	+	0.431986i	$0.142187\pi$
$510$	38.5261	−	4.07968i	1.70597	−	0.180651i
$511$	10.4149	−	14.3348i	0.460726	−	0.634135i
$512$	14.6561	+	17.2394i	0.647716	+	0.761882i
$513$	−3.94507	+	0.293149i	−0.174179	+	0.0129428i
$514$	5.16403	+	11.3390i	0.227775	+	0.500143i
$515$	29.2777	−	5.23765i	1.29013	−	0.230798i
$516$	−7.51734	+	11.3092i	−0.330932	+	0.497859i
$517$	1.45302	−	4.47193i	0.0639037	−	0.196675i
$518$	−10.4859	−	5.93615i	−0.460725	−	0.260819i
$519$	0.440293	+	0.239890i	0.0193267	+	0.0105300i
$520$	−6.82502	−	33.2513i	−0.299297	−	1.45816i
$521$	9.29592	−	3.02043i	0.407262	−	0.132327i	−0.0982199	−	0.995165i	$-0.531315\pi$
$521$	9.29592	−	3.02043i	0.407262	−	0.132327i	0.505482	+	0.862837i	$0.331315\pi$
$522$	−1.51068	+	2.35480i	−0.0661205	+	0.103067i
$523$	−14.7699	+	20.3290i	−0.645842	+	0.888926i	−0.998910	−	0.0466719i	$-0.985138\pi$
$523$	−14.7699	+	20.3290i	−0.645842	+	0.888926i	0.353068	+	0.935598i	$0.385138\pi$
$524$	−4.03885	+	2.42401i	−0.176438	+	0.105893i
$525$	−1.84487	+	12.6491i	−0.0805168	+	0.552051i
$526$	8.50916	−	15.0310i	0.371017	−	0.655384i
$527$	−14.2108	+	19.5594i	−0.619030	+	0.852022i
$528$	−2.22758	+	5.91340i	−0.0969429	+	0.257348i
$529$	2.90700	+	8.94684i	0.126391	+	0.388993i
$530$	−22.0305	+	15.2138i	−0.956944	+	0.660846i
$531$	−34.7076	−	28.2734i	−1.50618	−	1.22696i
$532$	−1.15657	−	1.92706i	−0.0501435	−	0.0835485i
$533$	−31.4421	−	10.2162i	−1.36191	−	0.442511i
$534$	−1.43936	+	20.0903i	−0.0622871	+	0.869393i
$535$	0.447130	−	3.24001i	0.0193311	−	0.140078i
$536$	11.0607	+	7.61420i	0.477751	+	0.328883i
$537$	−16.0309	−	33.7359i	−0.691785	−	1.45581i
$538$	39.7561	−	4.51945i	1.71401	−	0.194847i
$539$	2.58472	−	3.55757i	0.111332	−	0.153235i
$540$	−10.4183	+	20.7716i	−0.448330	+	0.893868i
$541$	−2.34729	−	3.23076i	−0.100918	−	0.138901i	0.755572	−	0.655066i	$-0.227359\pi$
$541$	−2.34729	−	3.23076i	−0.100918	−	0.138901i	−0.856489	+	0.516165i	$0.827359\pi$
$542$	22.6104	+	24.6874i	0.971199	+	1.06042i
$543$	−5.80618	+	31.0747i	−0.249167	+	1.33354i
$544$	9.96924	+	38.7502i	0.427428	+	1.66140i
$545$	−19.4111	+	10.3831i	−0.831479	+	0.444764i
$546$	7.29998	−	17.9796i	0.312410	−	0.769454i
$547$	−1.21106	+	0.393497i	−0.0517811	+	0.0168247i	−0.334793	−	0.942292i	$-0.608666\pi$
$547$	−1.21106	+	0.393497i	−0.0517811	+	0.0168247i	0.283012	+	0.959116i	$0.408666\pi$
$548$	1.73721	−	19.7414i	0.0742097	−	0.843309i
$549$	3.63374	−	9.38443i	0.155084	−	0.400518i
$550$	−5.73466	−	2.95091i	−0.244527	−	0.125827i
$551$	0.502038			0.0213875
$552$	12.7432	+	12.7998i	0.542389	+	0.544796i
$553$	−6.20529	+	2.01622i	−0.263876	+	0.0857384i
$554$	−3.54244	+	17.3892i	−0.150504	+	0.738795i
$555$	18.1873	−	13.0013i	0.772009	−	0.551874i
$556$	25.2248	−	5.81018i	1.06977	−	0.246406i
$557$		−	16.8290i		−	0.713067i	−0.934283	−	0.356534i	$-0.883959\pi$
$557$		−	16.8290i		−	0.713067i	0.934283	−	0.356534i	$-0.116041\pi$
$558$	−5.27215	−	13.5094i	−0.223188	−	0.571898i
$559$	12.3668	+	17.0214i	0.523060	+	0.719930i
$560$	−13.2021	+	0.0195200i	−0.557891	+	0.000824872i
$561$	−8.11652	+	7.67986i	−0.342680	+	0.324244i
$562$	−2.61350	−	22.9900i	−0.110244	−	0.969776i
$563$	−12.4265	+	9.02837i	−0.523714	+	0.380500i	−0.818001	−	0.575217i	$-0.804918\pi$
$563$	−12.4265	+	9.02837i	−0.523714	+	0.380500i	0.294287	+	0.955717i	$0.404918\pi$
$564$	17.1997	+	4.80626i	0.724238	+	0.202380i
$565$	3.43418	+	6.42014i	0.144477	+	0.270097i
$566$	1.43178	+	12.5948i	0.0601820	+	0.529401i
$567$	−11.5431	+	6.57507i	−0.484765	+	0.276127i
$568$	0.367231	+	14.4427i	0.0154087	+	0.606000i
$569$	−1.31798	−	0.428239i	−0.0552528	−	0.0179527i	0.281260	−	0.959632i	$-0.409248\pi$
$569$	−1.31798	−	0.428239i	−0.0552528	−	0.0179527i	−0.336513	+	0.941679i	$0.609248\pi$
$570$	4.14674	−	0.439115i	0.173688	−	0.0183925i
$571$	−3.52223	−	10.8403i	−0.147401	−	0.453653i	0.849911	−	0.526926i	$-0.176655\pi$
$571$	−3.52223	−	10.8403i	−0.147401	−	0.453653i	−0.997312	+	0.0732733i	$0.976655\pi$
$572$	7.38567	+	6.42682i	0.308810	+	0.268719i
$573$	31.2859	+	33.0648i	1.30699	+	1.38130i
$574$	−6.33450	+	11.1896i	−0.264397	+	0.467044i
$575$	−14.4696	+	11.4214i	−0.603425	+	0.476306i
$576$	−22.7923	−	7.51744i	−0.949678	−	0.313227i
$577$	10.3388	−	14.2301i	0.430410	−	0.592408i	−0.537637	−	0.843176i	$-0.680683\pi$
$577$	10.3388	−	14.2301i	0.430410	−	0.592408i	0.968047	+	0.250768i	$0.0806831\pi$
$578$	−9.32441	+	45.7717i	−0.387844	+	1.90385i
$579$	11.8022	−	1.53631i	0.490482	−	0.0638468i
$580$	1.51386	−	2.53084i	0.0628595	−	0.105088i
$581$	−4.82050	+	14.8360i	−0.199988	+	0.615500i
$582$	−17.2181	+	20.4487i	−0.713713	+	0.847624i
$583$	2.38624	−	7.34409i	0.0988279	−	0.304161i
$584$	−26.9526	+	20.6490i	−1.11530	+	0.854460i
$585$	24.5433	+	26.3417i	1.01474	+	1.08910i
$586$	26.6301	−	12.1279i	1.10008	−	0.500999i
$587$	−1.79724	+	1.30577i	−0.0741798	+	0.0538948i	−0.624257	−	0.781219i	$-0.714598\pi$
$587$	−1.79724	+	1.30577i	−0.0741798	+	0.0538948i	0.550077	+	0.835114i	$0.314598\pi$
$588$	13.9090	+	9.24546i	0.573598	+	0.381277i
$589$	−1.52957	+	2.10527i	−0.0630248	+	0.0867462i
$590$	37.5006	+	28.6422i	1.54388	+	1.17918i
$591$	11.7318	+	24.6887i	0.482582	+	1.01556i
$592$	16.0226	+	16.6255i	0.658526	+	0.683306i
$593$	−3.06865			−0.126014			−0.0630072	−	0.998013i	$-0.520069\pi$
$593$	−3.06865			−0.126014			−0.0630072	+	0.998013i	$0.520069\pi$
$594$	−1.24845	−	6.58507i	−0.0512247	−	0.270189i
$595$	−21.0081	−	10.1816i	−0.861247	−	0.417407i
$596$	−20.2762	+	23.3013i	−0.830546	+	0.954458i
$597$	13.1036	−	1.70572i	0.536296	−	0.0698104i
$598$	25.4672	−	11.5983i	1.04143	−	0.474289i
$599$	−21.5336			−0.879841			−0.439920	−	0.898037i	$-0.644993\pi$
$599$	−21.5336			−0.879841			−0.439920	+	0.898037i	$0.644993\pi$
$600$	10.2906	−	22.2285i	0.420110	−	0.907473i
$601$	0.941808			0.0384171			0.0192086	−	0.999815i	$-0.493885\pi$
$601$	0.941808			0.0384171			0.0192086	+	0.999815i	$0.493885\pi$
$602$	7.44708	−	3.39156i	0.303520	−	0.138230i
$603$	−14.2210	−	0.786826i	−0.579123	−	0.0320420i
$604$	−31.4626	−	27.3780i	−1.28020	−	1.11399i
$605$	−22.3813	+	4.00391i	−0.909928	+	0.162782i
$606$	−31.1757	+	19.4067i	−1.26643	+	0.788345i
$607$	−35.6689			−1.44775			−0.723877	−	0.689929i	$-0.757642\pi$
$607$	−35.6689			−1.44775			−0.723877	+	0.689929i	$0.757642\pi$
$608$	1.07304	+	4.17087i	0.0435173	+	0.169151i
$609$	1.52271	−	0.723575i	0.0617033	−	0.0293207i
$610$	−3.51856	+	10.0072i	−0.142462	+	0.405179i
$611$	16.2635	−	22.3848i	0.657952	−	0.905594i
$612$	−30.4273	−	29.5849i	−1.22995	−	1.19590i
$613$	−4.35028	+	3.16066i	−0.175706	+	0.127658i	−0.672162	−	0.740404i	$-0.734634\pi$
$613$	−4.35028	+	3.16066i	−0.175706	+	0.127658i	0.496456	+	0.868062i	$0.334634\pi$
$614$	31.2377	−	14.2263i	1.26065	−	0.574127i
$615$	−13.8738	−	19.4078i	−0.559444	−	0.782599i
$616$	3.02270	−	2.31576i	0.121788	−	0.0933045i
$617$	−2.71674	+	8.36126i	−0.109372	+	0.336612i	−0.990732	−	0.135834i	$-0.956629\pi$
$617$	−2.71674	+	8.36126i	−0.109372	+	0.336612i	0.881360	+	0.472446i	$0.156629\pi$
$618$	−24.9229	−	20.9855i	−1.00255	−	0.844160i
$619$	−3.36841	+	10.3669i	−0.135388	+	0.416681i	−0.995650	−	0.0931706i	$-0.970300\pi$
$619$	−3.36841	+	10.3669i	−0.135388	+	0.416681i	0.860262	+	0.509852i	$0.170300\pi$
$620$	6.00067	+	14.0591i	0.240993	+	0.564626i
$621$	−18.6083	−	4.55353i	−0.746726	−	0.182727i
$622$	−2.26862	+	11.1362i	−0.0909635	+	0.446522i
$623$	7.13412	−	9.81927i	0.285822	−	0.393401i
$624$	−23.2195	+	29.0435i	−0.929525	+	1.16267i
$625$	21.3321	+	13.0362i	0.853284	+	0.521447i
$626$	0.226149	−	0.399481i	0.00903873	−	0.0159665i
$627$	−0.873618	+	0.826618i	−0.0348889	+	0.0330120i
$628$	18.5148	−	21.2771i	0.738820	−	0.849047i
$629$	12.6170	+	38.8312i	0.503073	+	1.54830i
$630$	11.9444	−	7.30847i	0.475877	−	0.291176i
$631$	29.7261	+	9.65860i	1.18338	+	0.384503i	0.833621	−	0.552337i	$-0.186264\pi$
$631$	29.7261	+	9.65860i	1.18338	+	0.384503i	0.349758	+	0.936840i	$0.386264\pi$
$632$	12.4986	−	0.317800i	0.497168	−	0.0126414i
$633$	−15.3462	+	28.1662i	−0.609955	+	1.11951i
$634$	2.36366	+	20.7924i	0.0938731	+	0.825770i
$635$	−9.81161	+	10.2110i	−0.389362	+	0.405211i
$636$	28.2465	+	7.89315i	1.12005	+	0.312984i
$637$	20.9344	−	15.2097i	0.829452	−	0.602632i
$638$	0.0960746	+	0.845136i	0.00380363	+	0.0334592i
$639$	−8.30842	−	12.8758i	−0.328676	−	0.509358i
$640$	24.2616	+	7.16762i	0.959024	+	0.283325i
$641$	−10.0360	−	13.8134i	−0.396400	−	0.545598i	0.563436	−	0.826160i	$-0.309479\pi$
$641$	−10.0360	−	13.8134i	−0.396400	−	0.545598i	−0.959836	+	0.280562i	$0.909479\pi$
$642$	−3.04170	+	1.89345i	−0.120047	+	0.0747284i
$643$			18.1038i			0.713945i	0.934115	+	0.356973i	$0.116191\pi$
$643$			18.1038i			0.713945i	−0.934115	+	0.356973i	$0.883809\pi$
$644$	−2.44297	−	10.6061i	−0.0962665	−	0.417940i
$645$	−0.116795	+	15.1821i	−0.00459880	+	0.597795i
$646$	−1.52018	+	7.46225i	−0.0598105	+	0.293598i
$647$	−4.02142	+	1.30664i	−0.158098	+	0.0513693i	−0.386997	−	0.922081i	$-0.626488\pi$
$647$	−4.02142	+	1.30664i	−0.158098	+	0.0513693i	0.228899	+	0.973450i	$0.426488\pi$
$648$	24.7911	−	5.77947i	0.973886	−	0.227039i
$649$	−13.6101			−0.534241
$650$	−26.7279	−	26.9426i	−1.04836	−	1.05678i
$651$	−1.60499	+	8.58994i	−0.0629046	+	0.336666i
$652$	38.3030	+	3.37060i	1.50006	+	0.132003i
$653$	2.92781	−	0.951303i	0.114574	−	0.0372274i	−0.251169	−	0.967943i	$-0.580815\pi$
$653$	2.92781	−	0.951303i	0.114574	−	0.0372274i	0.365743	+	0.930716i	$0.380815\pi$
$654$	22.3433	+	9.07172i	0.873692	+	0.354733i
$655$	−2.29685	+	4.73916i	−0.0897454	+	0.185174i
$656$	17.7412	−	17.0979i	0.692678	−	0.667559i
$657$	13.0037	−	33.5831i	0.507322	−	1.31020i
$658$	−7.26833	−	7.93601i	−0.283349	−	0.309378i
$659$	4.08719	+	5.62553i	0.159214	+	0.219140i	0.881170	−	0.472800i	$-0.156757\pi$
$659$	4.08719	+	5.62553i	0.159214	+	0.219140i	−0.721956	+	0.691939i	$0.756757\pi$
$660$	1.53277	+	6.89664i	0.0596630	+	0.268451i
$661$	4.95272	−	6.81684i	0.192639	−	0.265144i	−0.701762	−	0.712412i	$-0.747603\pi$
$661$	4.95272	−	6.81684i	0.192639	−	0.265144i	0.894400	+	0.447268i	$0.147603\pi$
$662$	46.0500	−	5.23494i	1.78979	−	0.203462i
$663$	−59.3889	+	28.2210i	−2.30647	+	1.09601i
$664$	16.9497	−	24.6220i	0.657777	−	0.955518i
$665$	−2.26119	−	1.09590i	−0.0876853	−	0.0424971i
$666$	−23.6907	−	6.20690i	−0.917996	−	0.240512i
$667$	2.31221	+	0.751284i	0.0895293	+	0.0290898i
$668$	−2.81656	+	1.69042i	−0.108976	+	0.0654044i
$669$	−7.36135	+	13.5110i	−0.284606	+	0.522364i
$670$	15.0089	+	0.359423i	0.579843	+	0.0138857i
$671$	−0.945445	−	2.90978i	−0.0364985	−	0.112331i
$672$	9.26595	+	11.1039i	0.357442	+	0.428344i
$673$	11.8527	−	16.3139i	0.456888	−	0.628853i	−0.516971	−	0.856003i	$-0.672941\pi$
$673$	11.8527	−	16.3139i	0.456888	−	0.628853i	0.973860	+	0.227150i	$0.0729407\pi$
$674$	22.5428	−	39.8208i	0.868317	−	1.53384i
$675$	2.95689	+	25.8120i	0.113811	+	0.993502i
$676$	16.2674	+	27.1045i	0.625668	+	1.04248i
$677$	−7.30570	+	10.0554i	−0.280781	+	0.386462i	−0.925992	−	0.377542i	$-0.876769\pi$
$677$	−7.30570	+	10.0554i	−0.280781	+	0.386462i	0.645211	+	0.764004i	$0.276769\pi$
$678$	3.00044	−	7.38996i	0.115231	−	0.283810i
$679$	15.3202	−	4.97783i	0.587935	−	0.191032i
$680$	33.0343	+	30.1653i	1.26681	+	1.15679i
$681$	−11.1270	+	20.4225i	−0.426389	+	0.782591i
$682$	−3.83675	−	2.17201i	−0.146917	−	0.0831705i
$683$	12.8755	−	39.6268i	0.492668	−	1.51628i	−0.327891	−	0.944716i	$-0.606338\pi$
$683$	12.8755	−	39.6268i	0.492668	−	1.51628i	0.820559	−	0.571561i	$-0.193662\pi$
$684$	−3.27503	−	3.18436i	−0.125224	−	0.121757i
$685$	−10.4507	−	19.5373i	−0.399300	−	0.746483i
$686$	−10.2274	−	22.4570i	−0.390484	−	0.857413i
$687$	3.67582	+	7.73549i	0.140241	+	0.295128i
$688$	−15.5301	+	2.16660i	−0.592079	+	0.0826007i
$689$	26.7090	−	36.7618i	1.01753	−	1.40051i
$690$	19.7556	+	4.18306i	0.752083	+	0.159246i
$691$	−18.1538	+	13.1895i	−0.690604	+	0.501753i	−0.876859	−	0.480748i	$-0.840365\pi$
$691$	−18.1538	+	13.1895i	−0.690604	+	0.501753i	0.186255	+	0.982502i	$0.440365\pi$
$692$	0.129955	+	0.564198i	0.00494014	+	0.0214476i
$693$	−1.45835	+	3.76631i	−0.0553981	+	0.143070i
$694$	21.5944	−	19.7776i	0.819713	−	0.750747i
$695$	20.0520	−	20.8682i	0.760615	−	0.791575i
$696$	−3.19187	+	0.498298i	−0.120987	+	0.0188880i
$697$	41.4370	−	13.4637i	1.56954	−	0.509974i
$698$	−32.4884	+	14.7959i	−1.22970	+	0.560033i
$699$	−6.52488	−	1.21915i	−0.246794	−	0.0461123i
$700$	−12.3430	+	8.09441i	−0.466523	+	0.305940i
$701$	−21.3959			−0.808113			−0.404056	−	0.914734i	$-0.632400\pi$
$701$	−21.3959			−0.808113			−0.404056	+	0.914734i	$0.632400\pi$
$702$	4.98737	−	39.1233i	0.188236	−	1.47661i
$703$	1.35803	+	4.17958i	0.0512190	+	0.157636i
$704$	−6.81594	+	2.60454i	−0.256885	+	0.0981621i
$705$	19.0362	−	6.02374i	0.716945	−	0.226867i
$706$	−29.4628	+	26.9840i	−1.10885	+	1.01555i
$707$	22.1287			0.832235
$708$	−2.15343	−	51.6466i	−0.0809309	−	1.94100i
$709$	−5.06692	−	6.97402i	−0.190292	−	0.261915i	0.703201	−	0.710991i	$-0.251753\pi$
$709$	−5.06692	−	6.97402i	−0.190292	−	0.261915i	−0.893494	+	0.449076i	$0.851753\pi$
$710$	9.17869	+	13.2913i	0.344470	+	0.498813i
$711$	−11.1426	+	7.19007i	−0.417882	+	0.269649i
$712$	−18.4623	+	14.1444i	−0.691906	+	0.530084i
$713$	−10.1951	+	7.40721i	−0.381811	+	0.277402i
$714$	6.14438	+	24.8244i	0.229948	+	0.929031i
$715$	10.8432	+	1.49640i	0.405514	+	0.0559620i
$716$	16.8720	−	39.6921i	0.630537	−	1.48337i
$717$	21.4671	−	39.4005i	0.801702	−	1.47144i
$718$	−21.8919	−	12.3931i	−0.816998	−	0.462508i
$719$	−8.93830	+	27.5092i	−0.333342	+	1.02592i	0.634191	+	0.773177i	$0.281333\pi$
$719$	−8.93830	+	27.5092i	−0.333342	+	1.02592i	−0.967533	+	0.252745i	$0.918667\pi$
$720$	−25.9284	+	6.90768i	−0.966296	+	0.257434i
$721$	6.06700	+	18.6723i	0.225947	+	0.695393i
$722$	5.20006	−	25.5261i	0.193526	−	0.949982i
$723$	−10.2356	−	10.8176i	−0.380667	−	0.402311i
$724$	−31.2987	+	18.7846i	−1.16321	+	0.698124i
$725$	−0.131477	−	3.29452i	−0.00488293	−	0.122356i
$726$	19.0522	+	16.0423i	0.707095	+	0.595386i
$727$	4.22018	+	3.06614i	0.156518	+	0.113717i	0.663288	−	0.748365i	$-0.269161\pi$
$727$	4.22018	+	3.06614i	0.156518	+	0.113717i	−0.506770	+	0.862081i	$0.669161\pi$
$728$	21.1274	−	7.46358i	0.783034	−	0.276618i
$729$	−19.2580	+	18.9244i	−0.713258	+	0.700902i
$730$	−12.5915	+	35.8117i	−0.466032	+	1.32545i
$731$	−26.3707	−	8.56837i	−0.975356	−	0.316913i
$732$	10.8923	−	4.04812i	0.402590	−	0.149623i
$733$	0.506486	−	1.55880i	0.0187075	−	0.0575757i	−0.941267	−	0.337663i	$-0.890363\pi$
$733$	0.506486	−	1.55880i	0.0187075	−	0.0575757i	0.959974	+	0.280088i	$0.0903635\pi$
$734$	−7.83384	+	0.890546i	−0.289152	+	0.0328707i
$735$	18.6723	+	0.143644i	0.688737	+	0.00529841i
$736$	−1.29954	+	20.8154i	−0.0479016	+	0.767264i
$737$	−3.50317	+	2.54520i	−0.129041	+	0.0937537i
$738$	−6.62342	+	25.2805i	−0.243811	+	0.930588i
$739$	19.9244	+	14.4759i	0.732932	+	0.532506i	0.890490	−	0.455004i	$-0.150362\pi$
$739$	19.9244	+	14.4759i	0.732932	+	0.532506i	−0.157558	+	0.987510i	$0.550362\pi$
$740$	25.1649	+	5.75720i	0.925080	+	0.211639i
$741$	−6.39230	+	3.03755i	−0.234827	+	0.111587i
$742$	−11.9365	−	13.0330i	−0.438203	−	0.478458i
$743$		−	37.6707i		−	1.38200i	−0.722854	−	0.691001i	$-0.757170\pi$
$743$		−	37.6707i		−	1.38200i	0.722854	−	0.691001i	$-0.242830\pi$
$744$	7.63514	−	14.9031i	0.279918	−	0.546375i
$745$	−4.72103	+	34.2097i	−0.172965	+	1.25335i
$746$	−8.39759	+	41.2221i	−0.307458	+	1.50925i
$747$	−1.75153	+	31.6569i	−0.0640851	+	1.15827i
$748$	−12.8529	−	1.13104i	−0.469950	−	0.0413548i
$749$	2.15902			0.0788889
$750$	−3.96758	−	27.0972i	−0.144876	−	0.989450i
$751$		−	47.7592i		−	1.74276i	−0.490610	−	0.871379i	$-0.663226\pi$
$751$		−	47.7592i		−	1.74276i	0.490610	−	0.871379i	$-0.336774\pi$
$752$	9.02106	+	18.5435i	0.328964	+	0.676211i
$753$	−20.0021	+	2.60370i	−0.728917	+	0.0948842i
$754$	−0.999119	+	4.90448i	−0.0363858	+	0.178611i
$755$	−46.1917	−	6.37458i	−1.68109	−	0.231995i
$756$	−14.5229	−	4.93813i	−0.528193	−	0.179598i
$757$	−28.6553			−1.04150			−0.520748	−	0.853711i	$-0.674347\pi$
$757$	−28.6553			−1.04150			−0.520748	+	0.853711i	$0.674347\pi$
$758$	−21.5130	+	19.7031i	−0.781389	+	0.715648i
$759$	−5.26060	+	2.49978i	−0.190948	+	0.0907362i
$760$	3.55563	+	3.24683i	0.128976	+	0.117775i
$761$	4.01908	−	5.53178i	0.145691	−	0.200527i	−0.729934	−	0.683517i	$-0.760449\pi$
$761$	4.01908	−	5.53178i	0.145691	−	0.200527i	0.875626	+	0.482990i	$0.160449\pi$
$762$	15.4729	+	1.10854i	0.560523	+	0.0401583i
$763$	−8.54130	−	11.7561i	−0.309216	−	0.425599i
$764$	−4.60758	+	52.3599i	−0.166696	+	1.89431i
$765$	−46.5729	−	9.07327i	−1.68385	−	0.328045i
$766$	−5.70644	−	50.1976i	−0.206182	−	1.81371i
$767$	−76.1682	−	24.7486i	−2.75028	−	0.893619i
$768$	−10.9620	−	25.4526i	−0.395556	−	0.918442i
$769$	−2.75031	+	8.46457i	−0.0991785	+	0.305240i	−0.988320	−	0.152392i	$-0.951302\pi$
$769$	−2.75031	+	8.46457i	−0.0991785	+	0.305240i	0.889142	+	0.457632i	$0.151302\pi$
$770$	1.41212	−	4.01624i	0.0508893	−	0.144735i
$771$	−1.96977	−	15.1321i	−0.0709395	−	0.544970i
$772$	10.3674	+	9.02144i	0.373131	+	0.324689i
$773$	12.2753	−	16.8954i	0.441510	−	0.607687i	−0.529037	−	0.848599i	$-0.677447\pi$
$773$	12.2753	−	16.8954i	0.441510	−	0.607687i	0.970547	+	0.240912i	$0.0774466\pi$
$774$	12.8668	−	10.5384i	0.462488	−	0.378794i
$775$	14.2160	+	9.48615i	0.510654	+	0.340753i
$776$	−30.8577	+	0.784614i	−1.10773	+	0.0281660i
$777$	10.1429	+	10.7196i	0.363875	+	0.384564i
$778$	−3.52976	+	17.3269i	−0.126548	+	0.621200i
$779$	4.46005	−	1.44916i	0.159798	−	0.0519215i
$780$	−3.96277	+	41.3840i	−0.141890	+	1.48179i
$781$	−4.43078	−	1.43965i	−0.158546	−	0.0515146i
$782$	−18.1684	+	32.0937i	−0.649702	+	1.14767i
$783$	2.61522	−	2.21393i	0.0934605	−	0.0791193i
$784$	2.66466	+	19.1002i	0.0951665	+	0.682151i
$785$	4.31090	−	31.2379i	0.153863	−	1.11493i
$786$	5.60008	−	1.38610i	0.199748	−	0.0494404i
$787$	−20.9524	−	28.8386i	−0.746874	−	1.02798i	−0.998194	−	0.0600794i	$-0.980865\pi$
$787$	−20.9524	−	28.8386i	−0.746874	−	1.02798i	0.251320	−	0.967904i	$-0.419135\pi$
$788$	−12.3473	+	29.0476i	−0.439855	+	1.03478i
$789$	−15.3660	+	14.5393i	−0.547044	+	0.517614i
$790$	11.5022	−	7.94319i	0.409230	−	0.282606i
$791$	−3.88828	+	2.82500i	−0.138251	+	0.100445i
$792$	4.73385	−	6.12261i	0.168210	−	0.217557i
$793$		−	18.0037i		−	0.639330i
$794$	19.0972	−	17.4905i	0.677736	−	0.620715i
$795$	31.2625	−	9.89257i	1.10877	−	0.350853i
$796$	11.5106	+	10.0163i	0.407983	+	0.355017i
$797$	49.5085	−	16.0863i	1.75368	−	0.569805i	0.757166	−	0.653222i	$-0.226583\pi$
$797$	49.5085	−	16.0863i	1.75368	−	0.569805i	0.996515	+	0.0834170i	$0.0265833\pi$
$798$	0.661348	+	2.67197i	0.0234115	+	0.0945866i
$799$			36.4648i			1.29003i
$800$	27.0895	−	8.13388i	0.957758	−	0.287576i
$801$	8.90746	−	23.0042i	0.314729	−	0.812815i
$802$	−45.2096	+	20.5894i	−1.59641	+	0.727036i
$803$	−3.38337	−	10.4129i	−0.119397	−	0.367465i
$804$	−10.2127	−	12.8909i	−0.360173	−	0.454627i
$805$	−8.77431	−	8.43113i	−0.309254	−	0.297158i
$806$	−17.5227	−	19.1323i	−0.617209	−	0.673908i
$807$	−48.1710	−	9.00055i	−1.69570	−	0.316834i
$808$	−40.6482	−	12.0741i	−1.43000	−	0.424765i
$809$	30.2303	+	41.6085i	1.06284	+	1.46288i	0.877118	+	0.480274i	$0.159463\pi$
$809$	30.2303	+	41.6085i	1.06284	+	1.46288i	0.185723	+	0.982602i	$0.440537\pi$
$810$	19.6648	−	20.5741i	0.690952	−	0.722900i
$811$	11.2859	+	8.19967i	0.396301	+	0.287929i	0.768033	−	0.640411i	$-0.221236\pi$
$811$	11.2859	+	8.19967i	0.396301	+	0.287929i	−0.371732	+	0.928340i	$0.621236\pi$
$812$	1.79155	+	0.761539i	0.0628712	+	0.0267248i
$813$	−17.5973	−	37.0322i	−0.617164	−	1.29878i
$814$	−6.77606	+	3.08596i	−0.237501	+	0.108163i
$815$	37.9072	−	20.2768i	1.32783	−	0.710267i
$816$	2.25835	−	48.9525i	0.0790581	−	1.71368i
$817$	−2.83840	−	0.922253i	−0.0993031	−	0.0322655i
$818$	2.15865	+	1.22203i	0.0754755	+	0.0427272i
$819$	−15.0103	+	18.4262i	−0.524501	+	0.643862i
$820$	6.14354	−	26.8536i	0.214542	−	0.937769i
$821$	9.42779	+	29.0157i	0.329032	+	1.01266i	0.969588	+	0.244745i	$0.0787041\pi$
$821$	9.42779	+	29.0157i	0.329032	+	1.01266i	−0.640556	+	0.767912i	$0.721296\pi$
$822$	−9.13073	+	22.4886i	−0.318471	+	0.784381i
$823$	5.52630	+	4.01510i	0.192635	+	0.139957i	0.679922	−	0.733284i	$-0.262014\pi$
$823$	5.52630	+	4.01510i	0.192635	+	0.139957i	−0.487287	+	0.873242i	$0.662014\pi$
$824$	−0.956290	−	37.6095i	−0.0333139	−	1.31019i
$825$	5.65331	+	5.51647i	0.196823	+	0.192059i
$826$	−15.3453	+	27.1067i	−0.533931	+	0.943163i
$827$	−16.5192	−	12.0019i	−0.574428	−	0.417347i	0.262283	−	0.964991i	$-0.415525\pi$
$827$	−16.5192	−	12.0019i	−0.574428	−	0.417347i	−0.836711	+	0.547644i	$0.815525\pi$
$828$	−10.3184	−	19.5671i	−0.358588	−	0.680003i
$829$	17.2166	−	5.59402i	0.597958	−	0.194288i	0.00562861	−	0.999984i	$-0.498208\pi$
$829$	17.2166	−	5.59402i	0.597958	−	0.194288i	0.592330	+	0.805696i	$0.298208\pi$
$830$	0.800101	−	33.4108i	0.0277719	−	1.15970i
$831$	10.3987	−	19.0857i	0.360727	−	0.662076i
$832$	−42.8813	+	2.18208i	−1.48664	+	0.0756501i
$833$	−10.5381	+	32.4330i	−0.365124	+	1.12374i
$834$	−31.6219	−	2.26553i	−1.09498	−	0.0784489i
$835$	−1.60175	+	3.30493i	−0.0554308	+	0.114372i
$836$	−1.38342	−	0.121739i	−0.0478466	−	0.00421042i
$837$	1.31614	+	17.7120i	0.0454925	+	0.612217i
$838$	−2.33142	−	20.5087i	−0.0805377	−	0.708463i
$839$	−13.1432	−	9.54908i	−0.453753	−	0.329671i	0.337323	−	0.941389i	$-0.390479\pi$
$839$	−13.1432	−	9.54908i	−0.453753	−	0.329671i	−0.791076	+	0.611718i	$0.790479\pi$
$840$	15.4640	+	4.72317i	0.533559	+	0.162965i
$841$	23.1097	−	16.7902i	0.796886	−	0.578972i
$842$	0.258220	+	0.281941i	0.00889886	+	0.00971633i
$843$	−5.20481	+	27.8562i	−0.179263	+	0.959419i
$844$	−36.0926	+	8.31341i	−1.24236	+	0.286159i
$845$	31.8042	+	15.4140i	1.09410	+	0.530259i
$846$	−18.4096	−	11.8103i	−0.632934	−	0.406046i
$847$	−4.63790	−	14.2740i	−0.159360	−	0.490460i
$848$	14.8150	+	30.4533i	0.508748	+	1.04577i
$849$	2.85140	−	15.2607i	0.0978597	−	0.523747i
$850$	49.3677	+	8.02160i	1.69330	+	0.275139i
$851$			21.2820i			0.729536i
$852$	4.76203	−	17.0414i	0.163145	−	0.583830i
$853$	−0.847127	−	2.60719i	−0.0290051	−	0.0892684i	0.935506	−	0.353311i	$-0.114944\pi$
$853$	−0.847127	−	2.60719i	−0.0290051	−	0.0892684i	−0.964511	+	0.264042i	$0.914944\pi$
$854$	−6.86131	−	1.39776i	−0.234789	−	0.0478302i
$855$	−5.01286	−	0.976597i	−0.171436	−	0.0333989i
$856$	−3.96591	−	1.17803i	−0.135552	−	0.0402642i
$857$	1.70583			0.0582699			0.0291349	−	0.999575i	$-0.490725\pi$
$857$	1.70583			0.0582699			0.0291349	+	0.999575i	$0.490725\pi$
$858$	−6.33674	−	10.1796i	−0.216333	−	0.347525i
$859$	38.1711	−	27.7330i	1.30238	−	0.946236i	0.302406	−	0.953179i	$-0.402210\pi$
$859$	38.1711	−	27.7330i	1.30238	−	0.946236i	0.999976	+	0.00694302i	$0.00221005\pi$
$860$	−13.2082	+	11.5278i	−0.450396	+	0.393095i
$861$	11.4390	−	10.8236i	0.389839	−	0.368866i
$862$	−17.7760	+	2.02077i	−0.605453	+	0.0688276i
$863$	33.9426	+	46.7179i	1.15542	+	1.59030i	0.726865	+	0.686780i	$0.240976\pi$
$863$	33.9426	+	46.7179i	1.15542	+	1.59030i	0.428553	+	0.903517i	$0.359024\pi$
$864$	23.9827	+	16.9950i	0.815908	+	0.578181i
$865$	0.466753	+	0.448498i	0.0158701	+	0.0152494i
$866$	−3.05316	−	26.8576i	−0.103751	−	0.912660i
$867$	27.3715	−	50.2374i	0.929583	−	1.70615i
$868$	−8.65184	+	5.19260i	−0.293663	+	0.176248i
$869$	−1.24586	+	3.83438i	−0.0422631	+	0.130072i
$870$	−2.68223	+	2.41889i	−0.0909362	+	0.0820081i
$871$	−24.2336	+	7.87397i	−0.821124	+	0.266799i
$872$	9.27503	+	26.2551i	0.314092	+	0.889111i
$873$	27.5100	−	17.7515i	0.931072	−	0.600798i
$874$	−1.95555	+	3.45439i	−0.0661475	+	0.116846i
$875$	−6.59943	+	15.1256i	−0.223102	+	0.511340i
$876$	38.9791	−	14.4866i	1.31698	−	0.489456i
$877$	25.3487	+	18.4169i	0.855966	+	0.621896i	0.926784	−	0.375594i	$-0.122561\pi$
$877$	25.3487	+	18.4169i	0.855966	+	0.621896i	−0.0708185	+	0.997489i	$0.522561\pi$
$878$	28.2888	+	5.76287i	0.954701	+	0.194488i
$879$	−35.5383	+	4.62608i	−1.19868	+	0.156034i
$880$	−4.78531	+	6.60693i	−0.161313	+	0.222720i
$881$	43.7549	+	14.2168i	1.47414	+	0.478977i	0.932356	−	0.361541i	$-0.117749\pi$
$881$	43.7549	+	14.2168i	1.47414	+	0.478977i	0.541784	+	0.840518i	$0.317749\pi$
$882$	−12.9610	−	15.8247i	−0.436419	−	0.532846i
$883$	−29.7733	−	9.67394i	−1.00195	−	0.325554i	−0.238307	−	0.971190i	$-0.576592\pi$
$883$	−29.7733	−	9.67394i	−1.00195	−	0.325554i	−0.763645	+	0.645636i	$0.776592\pi$
$884$	−69.8744	−	29.7017i	−2.35013	−	0.998975i
$885$	−33.6091	−	47.0153i	−1.12976	−	1.58040i
$886$	−13.0874	−	28.7368i	−0.439679	−	0.965433i
$887$	33.6980	+	46.3813i	1.13147	+	1.55733i	0.785253	+	0.619175i	$0.212533\pi$
$887$	33.6980	+	46.3813i	1.13147	+	1.55733i	0.346214	+	0.938156i	$0.387467\pi$
$888$	−12.7825	−	25.2251i	−0.428954	−	0.846500i
$889$	−7.56246	−	5.49445i	−0.253637	−	0.184278i
$890$	−8.62511	+	24.5308i	−0.289114	+	0.822275i
$891$	−0.905577	+	8.15859i	−0.0303380	+	0.273323i
$892$	−17.3131	+	3.98783i	−0.579687	+	0.133523i
$893$			3.92487i			0.131341i
$894$	32.1159	−	19.9920i	1.07412	−	0.668633i
$895$	−8.49152	−	47.4664i	−0.283840	−	1.58663i
$896$	−2.49758	+	16.5117i	−0.0834381	+	0.551617i
$897$	−33.9864	+	4.42405i	−1.13477	+	0.147715i
$898$	−19.5652	+	8.91042i	−0.652900	+	0.297344i
$899$		−	2.25398i		−	0.0751745i
$900$	−20.0391	+	22.3257i	−0.667969	+	0.744189i
$901$			59.8848i			1.99505i
$902$	3.29305	+	7.23078i	0.109646	+	0.240759i
$903$	−9.93826	+	1.29368i	−0.330725	+	0.0430509i
$904$	8.68379	−	3.06768i	0.288819	−	0.102030i
$905$	−17.7992	+	36.7256i	−0.591666	+	1.22080i
$906$	26.9942	+	43.3646i	0.896824	+	1.44069i
$907$		−	43.2814i		−	1.43714i	−0.695457	−	0.718568i	$-0.744798\pi$
$907$		−	43.2814i		−	1.43714i	0.695457	−	0.718568i	$-0.255202\pi$
$908$	−26.1696	+	6.02780i	−0.868470	+	0.200040i
$909$	43.4769	−	11.5140i	1.44204	−	0.381896i
$910$	15.2060	−	19.9090i	0.504075	−	0.659976i
$911$	−6.39354	−	4.64518i	−0.211827	−	0.153902i	0.476813	−	0.879005i	$-0.341792\pi$
$911$	−6.39354	−	4.64518i	−0.211827	−	0.153902i	−0.688640	+	0.725103i	$0.741792\pi$
$912$	0.243077	−	5.26899i	0.00804907	−	0.174474i
$913$	5.66580	+	7.79830i	0.187511	+	0.258086i
$914$	25.1623	−	11.4594i	0.832295	−	0.379044i
$915$	7.71700	−	10.4515i	0.255116	−	0.345516i
$916$	−3.86868	+	9.10125i	−0.127825	+	0.300714i
$917$	−3.30625	−	1.07426i	−0.109182	−	0.0354754i
$918$	24.9887	+	45.5763i	0.824750	+	1.50424i
$919$	6.05656	+	1.96789i	0.199787	+	0.0649149i	0.407201	−	0.913338i	$-0.366505\pi$
$919$	6.05656	+	1.96789i	0.199787	+	0.0649149i	−0.207414	+	0.978253i	$0.566505\pi$
$920$	11.5172	+	20.2747i	0.379712	+	0.668436i
$921$	−41.6873	+	5.42649i	−1.37364	+	0.178809i
$922$	0.422895	−	2.07591i	0.0139273	−	0.0683664i
$923$	−22.1789	−	16.1139i	−0.730026	−	0.530395i
$924$	−4.37146	+	1.62465i	−0.143810	+	0.0534472i
$925$	27.0720	−	10.0064i	0.890122	−	0.329007i
$926$	−2.71632	−	1.53773i	−0.0892639	−	0.0505329i
$927$	21.6356	+	33.5293i	0.710606	+	1.10125i
$928$	−2.87539	−	2.37640i	−0.0943891	−	0.0780090i
$929$	11.5433	−	3.75064i	0.378723	−	0.123055i	−0.113468	−	0.993542i	$-0.536196\pi$
$929$	11.5433	−	3.75064i	0.378723	−	0.123055i	0.492191	+	0.870487i	$0.336196\pi$
$930$	−1.97148	−	18.6175i	−0.0646474	−	0.610492i
$931$	−1.13426	+	3.49091i	−0.0371740	+	0.114410i
$932$	−3.94427	−	6.57190i	−0.129199	−	0.215270i
$933$	6.65946	−	12.2227i	0.218021	−	0.400154i
$934$	43.2776	−	4.91977i	1.41609	−	0.160980i
$935$	−12.7201	+	6.80409i	−0.415992	+	0.222517i
$936$	37.6262	−	25.6569i	1.22985	−	0.838623i
$937$	−4.09316	−	5.63375i	−0.133718	−	0.184047i	0.736907	−	0.675994i	$-0.236285\pi$
$937$	−4.09316	−	5.63375i	−0.133718	−	0.184047i	−0.870625	+	0.491947i	$0.836285\pi$
$938$	1.11939	+	9.84686i	0.0365492	+	0.321511i
$939$	−0.408384	+	0.386413i	−0.0133271	+	0.0126101i
$940$	19.7858	+	11.8352i	0.645343	+	0.386020i
$941$	−14.8561	+	10.7936i	−0.484295	+	0.351861i	−0.802986	−	0.595998i	$-0.796757\pi$
$941$	−14.8561	+	10.7936i	−0.484295	+	0.351861i	0.318691	+	0.947859i	$0.396757\pi$
$942$	−29.3259	+	18.2553i	−0.955491	+	0.594789i
$943$	22.7101			0.739543
$944$	42.9780	−	41.4194i	1.39881	−	1.34809i
$945$	−16.6118	+	4.26284i	−0.540383	+	0.138670i
$946$	1.00935	−	4.95469i	0.0328167	−	0.161091i
$947$	7.19358	+	22.1396i	0.233760	+	0.719439i	0.997283	+	0.0736593i	$0.0234677\pi$
$947$	7.19358	+	22.1396i	0.233760	+	0.719439i	−0.763523	+	0.645780i	$0.776532\pi$
$948$	−14.7476	−	4.12104i	−0.478979	−	0.133845i
$949$		−	64.4281i		−	2.09142i
$950$	5.31367	+	0.863401i	0.172398	+	0.0280124i
$951$	4.70727	−	25.1933i	0.152644	−	0.816950i
$952$	−16.7443	+	24.3236i	−0.542686	+	0.788331i
$953$	7.87752	+	24.2445i	0.255178	+	0.785357i	0.993795	+	0.111231i	$0.0354794\pi$
$953$	7.87752	+	24.2445i	0.255178	+	0.785357i	−0.738617	+	0.674126i	$0.764521\pi$
$954$	−30.2334	−	19.3956i	−0.978842	−	0.627956i
$955$	27.7182	+	51.8187i	0.896941	+	1.67681i
$956$	50.4883	−	11.6293i	1.63291	−	0.376117i
$957$	0.191334	−	1.02402i	0.00618494	−	0.0331019i
$958$	−38.8482	+	35.5797i	−1.25513	+	1.14953i
$959$	11.8326	−	8.59686i	0.382093	−	0.277607i
$960$	−25.8287	−	17.1136i	−0.833619	−	0.552340i
$961$	−15.6276	−	11.3541i	−0.504115	−	0.366261i
$962$	−43.5335	+	4.94887i	−1.40358	+	0.159558i
$963$	4.24190	−	1.12338i	0.136693	−	0.0362005i
$964$	1.50743	−	17.1302i	0.0485511	−	0.551728i
$965$	15.2209	+	2.10052i	0.489977	+	0.0676180i
$966$	−0.952573	+	13.2959i	−0.0306485	+	0.427787i
$967$	15.6559	−	48.1841i	0.503461	−	1.54949i	−0.299881	−	0.953977i	$-0.596947\pi$
$967$	15.6559	−	48.1841i	0.503461	−	1.54949i	0.803342	−	0.595518i	$-0.203053\pi$
$968$	0.731034	+	28.7505i	0.0234963	+	0.924075i
$969$	4.46242	−	8.19029i	0.143354	−	0.263110i
$970$	−28.3977	+	19.6109i	−0.911796	+	0.629668i
$971$	28.7487	−	9.34102i	0.922590	−	0.299768i	0.191061	−	0.981578i	$-0.438807\pi$
$971$	28.7487	−	9.34102i	0.922590	−	0.299768i	0.731529	+	0.681811i	$0.238807\pi$
$972$	−31.1030	−	2.14555i	−0.997629	−	0.0688184i
$973$	15.4554	+	11.2290i	0.495477	+	0.359985i
$974$	−25.2359	−	14.2862i	−0.808610	−	0.457760i
$975$	21.6074	+	41.1527i	0.691991	+	1.31794i
$976$	11.8409	+	6.31127i	0.379017	+	0.202019i
$977$	−29.0278	−	21.0900i	−0.928683	−	0.674727i	0.0169873	−	0.999856i	$-0.494593\pi$
$977$	−29.0278	−	21.0900i	−0.928683	−	0.674727i	−0.945670	+	0.325128i	$0.894593\pi$
$978$	−43.6334	−	17.7158i	−1.39524	−	0.566490i
$979$	−2.31759	−	7.13281i	−0.0740705	−	0.227965i
$980$	14.1779	+	16.2446i	0.452896	+	0.518914i
$981$	−22.8983	−	18.6533i	−0.731086	−	0.595555i
$982$	−18.1424	+	32.0477i	−0.578948	+	1.02268i
$983$	−12.0800	−	3.92504i	−0.385293	−	0.125189i	0.109965	−	0.993935i	$-0.464926\pi$
$983$	−12.0800	−	3.92504i	−0.385293	−	0.125189i	−0.495257	+	0.868746i	$0.664926\pi$
$984$	−26.9179	+	13.6403i	−0.858111	+	0.434838i
$985$	6.21429	+	34.7370i	0.198004	+	1.10681i
$986$	−2.73392	−	6.00306i	−0.0870657	−	0.191176i
$987$	5.65682	+	11.9044i	0.180059	+	0.378920i
$988$	−7.52091	−	3.19692i	−0.239272	−	0.101708i
$989$	−11.6926	−	8.49516i	−0.371803	−	0.270130i
$990$	0.684708	−	8.62559i	0.0217615	−	0.274139i
$991$	−33.6087	−	46.2584i	−1.06762	−	1.46945i	−0.872467	−	0.488673i	$-0.837481\pi$
$991$	−33.6087	−	46.2584i	−1.06762	−	1.46945i	−0.195149	−	0.980774i	$-0.562519\pi$
$992$	18.7258	−	4.81757i	0.594545	−	0.152958i
$993$	−55.7972	−	10.4255i	−1.77067	−	0.330842i
$994$	−7.86299	+	7.20144i	−0.249399	+	0.228416i
$995$	16.8993	+	2.33214i	0.535743	+	0.0739339i
$996$	−28.6961	+	22.7341i	−0.909270	+	0.720358i
$997$	11.7946	+	36.3000i	0.373538	+	1.14963i	0.944460	+	0.328628i	$0.106586\pi$
$997$	11.7946	+	36.3000i	0.373538	+	1.14963i	−0.570921	+	0.821005i	$0.693414\pi$
$998$	5.64720	+	12.4000i	0.178759	+	0.392514i
$999$	25.5057	+	15.7836i	0.806965	+	0.499371i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	600.2.bk.a.59.42	yes	464
3.2	odd	2	inner	600.2.bk.a.59.75	yes	464
8.3	odd	2	inner	600.2.bk.a.59.5	✓	464
24.11	even	2	inner	600.2.bk.a.59.112	yes	464
25.14	even	10	inner	600.2.bk.a.539.112	yes	464
75.14	odd	10	inner	600.2.bk.a.539.5	yes	464
200.139	odd	10	inner	600.2.bk.a.539.75	yes	464
600.539	even	10	inner	600.2.bk.a.539.42	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
600.2.bk.a.59.5	✓	464	8.3	odd	2	inner
600.2.bk.a.59.42	yes	464	1.1	even	1	trivial
600.2.bk.a.59.75	yes	464	3.2	odd	2	inner
600.2.bk.a.59.112	yes	464	24.11	even	2	inner
600.2.bk.a.539.5	yes	464	75.14	odd	10	inner
600.2.bk.a.539.42	yes	464	600.539	even	10	inner
600.2.bk.a.539.75	yes	464	200.139	odd	10	inner
600.2.bk.a.539.112	yes	464	25.14	even	10	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 600 = 2^{3} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	600.bk (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.586139 - 1.28703i) q^{2} +(0.223577 + 1.71756i) q^{3} +(-1.31288 + 1.50876i) q^{4} +(-0.305686 + 2.21507i) q^{5} +(2.07950 - 1.29448i) q^{6} -1.47604 q^{7} +(2.71134 + 0.805374i) q^{8} +(-2.90003 + 0.768015i) q^{9} +O(q^{10})\)	\(q+(-0.586139 - 1.28703i) q^{2} +(0.223577 + 1.71756i) q^{3} +(-1.31288 + 1.50876i) q^{4} +(-0.305686 + 2.21507i) q^{5} +(2.07950 - 1.29448i) q^{6} -1.47604 q^{7} +(2.71134 + 0.805374i) q^{8} +(-2.90003 + 0.768015i) q^{9} +(3.03004 - 0.904916i) q^{10} +(-0.536105 + 0.737886i) q^{11} +(-2.88491 - 1.91763i) q^{12} +(-4.34207 + 3.15470i) q^{13} +(0.865167 + 1.89971i) q^{14} +(-3.87287 - 0.0297937i) q^{15} +(-0.552686 - 3.96163i) q^{16} +(2.18574 - 6.72702i) q^{17} +(2.68828 + 3.28225i) q^{18} +(0.235261 - 0.724060i) q^{19} +(-2.94068 - 3.36934i) q^{20} +(-0.330009 - 2.53519i) q^{21} +(1.26391 + 0.257479i) q^{22} +(2.16707 - 2.98271i) q^{23} +(-0.777084 + 4.83696i) q^{24} +(-4.81311 - 1.35423i) q^{25} +(6.60524 + 3.73927i) q^{26} +(-1.96749 - 4.80926i) q^{27} +(1.93787 - 2.22699i) q^{28} +(0.203775 + 0.627154i) q^{29} +(2.23170 + 5.00195i) q^{30} +(-3.25079 - 1.05624i) q^{31} +(-4.77478 + 3.03339i) q^{32} +(-1.38722 - 0.755819i) q^{33} +(-9.93901 + 1.12986i) q^{34} +(0.451205 - 3.26954i) q^{35} +(2.64864 - 5.38374i) q^{36} +(-4.66999 + 3.39294i) q^{37} +(-1.06978 + 0.121612i) q^{38} +(-6.38917 - 6.75245i) q^{39} +(-2.61278 + 5.75963i) q^{40} +(3.62063 + 4.98337i) q^{41} +(-3.06943 + 1.91071i) q^{42} -3.92012i q^{43} +(-0.409446 - 1.77761i) q^{44} +(-0.814713 - 6.65855i) q^{45} +(-5.10903 - 1.04079i) q^{46} +(-4.90302 + 1.59309i) q^{47} +(6.68078 - 1.83500i) q^{48} -4.82130 q^{49} +(1.07822 + 6.98838i) q^{50} +(12.0427 + 2.25013i) q^{51} +(0.940954 - 10.6929i) q^{52} +(-8.05205 + 2.61627i) q^{53} +(-5.03643 + 5.35111i) q^{54} +(-1.47059 - 1.41307i) q^{55} +(-4.00206 - 1.18877i) q^{56} +(1.29622 + 0.242192i) q^{57} +(0.687725 - 0.629864i) q^{58} +(8.77096 + 12.0722i) q^{59} +(5.12957 - 5.80410i) q^{60} +(-1.97170 + 2.71382i) q^{61} +(0.545998 + 4.80296i) q^{62} +(4.28056 - 1.13362i) q^{63} +(6.70275 + 4.36729i) q^{64} +(-5.66058 - 10.5824i) q^{65} +(-0.159653 + 2.22841i) q^{66} +(4.51522 + 1.46708i) q^{67} +(7.27981 + 12.1295i) q^{68} +(5.60749 + 3.05520i) q^{69} +(-4.47246 + 1.33569i) q^{70} +(1.57843 + 4.85790i) q^{71} +(-8.48150 - 0.253255i) q^{72} +(-7.05593 + 9.71166i) q^{73} +(7.10408 + 4.02166i) q^{74} +(1.24988 - 8.56959i) q^{75} +(0.783559 + 1.30556i) q^{76} +(0.791314 - 1.08915i) q^{77} +(-4.94564 + 12.1809i) q^{78} +(4.20401 - 1.36596i) q^{79} +(8.94426 - 0.0132246i) q^{80} +(7.82031 - 4.45453i) q^{81} +(4.29154 - 7.58080i) q^{82} +(3.26583 - 10.0512i) q^{83} +(4.25825 + 2.83050i) q^{84} +(14.2327 + 6.89793i) q^{85} +(-5.04531 + 2.29774i) q^{86} +(-1.03162 + 0.490213i) q^{87} +(-2.04784 + 1.56890i) q^{88} +(-4.83327 + 6.65243i) q^{89} +(-8.09220 + 4.95139i) q^{90} +(6.40908 - 4.65647i) q^{91} +(1.65508 + 7.18552i) q^{92} +(1.08736 - 5.81958i) q^{93} +(4.92420 + 5.37655i) q^{94} +(1.53193 + 0.742456i) q^{95} +(-6.27756 - 7.52278i) q^{96} +(-10.3792 + 3.37242i) q^{97} +(2.82595 + 6.20515i) q^{98} +(0.988013 - 2.55163i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Introduction

L-functions

Modular forms

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