LMFDB - Embedded newform 600.2.bk.a.539.75

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			539.75
Character	$\chi$	$=$	600.539
Dual form			600.2.bk.a.59.75

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.586139 - 1.28703i) q^{2} +(-0.828679 + 1.52095i) q^{3} +(-1.31288 - 1.50876i) q^{4} +(0.305686 + 2.21507i) q^{5} +(1.47178 + 1.95802i) q^{6} -1.47604 q^{7} +(-2.71134 + 0.805374i) q^{8} +(-1.62658 - 2.52076i) q^{9} +O(q^{10})$	\(q+(0.586139 - 1.28703i) q^{2} +(-0.828679 + 1.52095i) q^{3} +(-1.31288 - 1.50876i) q^{4} +(0.305686 + 2.21507i) q^{5} +(1.47178 + 1.95802i) q^{6} -1.47604 q^{7} +(-2.71134 + 0.805374i) q^{8} +(-1.62658 - 2.52076i) q^{9} +(3.03004 + 0.904916i) q^{10} +(0.536105 + 0.737886i) q^{11} +(3.38270 - 0.746554i) q^{12} +(-4.34207 - 3.15470i) q^{13} +(-0.865167 + 1.89971i) q^{14} +(-3.62234 - 1.37065i) q^{15} +(-0.552686 + 3.96163i) q^{16} +(-2.18574 - 6.72702i) q^{17} +(-4.19769 + 0.615941i) q^{18} +(0.235261 + 0.724060i) q^{19} +(2.94068 - 3.36934i) q^{20} +(1.22317 - 2.24499i) q^{21} +(1.26391 - 0.257479i) q^{22} +(-2.16707 - 2.98271i) q^{23} +(1.02190 - 4.79121i) q^{24} +(-4.81311 + 1.35423i) q^{25} +(-6.60524 + 3.73927i) q^{26} +(5.18187 - 0.385053i) q^{27} +(1.93787 + 2.22699i) q^{28} +(-0.203775 + 0.627154i) q^{29} +(-3.88726 + 3.85865i) q^{30} +(-3.25079 + 1.05624i) q^{31} +(4.77478 + 3.03339i) q^{32} +(-1.56655 + 0.203920i) q^{33} +(-9.93901 - 1.12986i) q^{34} +(-0.451205 - 3.26954i) q^{35} +(-1.66770 + 5.76357i) q^{36} +(-4.66999 - 3.39294i) q^{37} +(1.06978 + 0.121612i) q^{38} +(8.39632 - 3.98984i) q^{39} +(-2.61278 - 5.75963i) q^{40} +(-3.62063 + 4.98337i) q^{41} +(-2.17242 - 2.89012i) q^{42} +3.92012i q^{43} +(0.409446 - 1.77761i) q^{44} +(5.08645 - 4.37356i) q^{45} +(-5.10903 + 1.04079i) q^{46} +(4.90302 + 1.59309i) q^{47} +(-5.56745 - 4.12353i) 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} +(2.54172 - 6.89490i) 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} +(2.68772 + 7.26472i) q^{60} +(-1.97170 - 2.71382i) q^{61} +(-0.545998 + 4.80296i) q^{62} +(2.40091 + 3.72075i) q^{63} +(6.70275 - 4.36729i) q^{64} +(5.66058 - 10.5824i) q^{65} +(-0.655765 + 2.13572i) q^{66} +(4.51522 - 1.46708i) q^{67} +(-7.27981 + 12.1295i) q^{68} +(6.33236 - 0.824292i) q^{69} +(-4.47246 - 1.33569i) q^{70} +(-1.57843 + 4.85790i) q^{71} +(6.44038 + 5.52463i) q^{72} +(-7.05593 - 9.71166i) q^{73} +(-7.10408 + 4.02166i) q^{74} +(1.92880 - 8.44273i) q^{75} +(0.783559 - 1.30556i) q^{76} +(-0.791314 - 1.08915i) q^{77} +(-0.213624 - 13.1449i) q^{78} +(4.20401 + 1.36596i) q^{79} +(-8.94426 - 0.0132246i) q^{80} +(-3.70846 + 8.20045i) q^{81} +(4.29154 + 7.58080i) q^{82} +(-3.26583 - 10.0512i) q^{83} +(-4.99301 + 1.10195i) q^{84} +(14.2327 - 6.89793i) q^{85} +(5.04531 + 2.29774i) q^{86} +(-0.785007 - 0.829641i) q^{87} +(-2.04784 - 1.56890i) q^{88} +(4.83327 + 6.65243i) q^{89} +(-2.64753 - 9.10992i) 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} +(-8.57040 + 4.74850i) 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 $\left(\mathbb{Z}/600\mathbb{Z}\right)^\times$.

$n$	$151$	$301$	$401$	$577$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{3}{10}\right)$

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
$3$	−0.828679	+	1.52095i	−0.478438	+	0.878121i
$3$	−0.828679	+	1.52095i	−0.478438	+	0.878121i
$4$	−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
$6$	1.47178	+	1.95802i	0.600854	+	0.799359i
$7$	−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
$9$	−1.62658	−	2.52076i	−0.542194	−	0.840253i
$10$	3.03004	+	0.904916i	0.958182	+	0.286160i
$11$	0.536105	+	0.737886i	0.161642	+	0.222481i	0.882154	−	0.470962i	$-0.156093\pi$
$11$	0.536105	+	0.737886i	0.161642	+	0.222481i	−0.720512	+	0.693443i	$0.756093\pi$
$12$	3.38270	−	0.746554i	0.976501	−	0.215512i
$13$	−4.34207	−	3.15470i	−1.20427	−	0.874956i	−0.209576	−	0.977792i	$-0.567208\pi$
$13$	−4.34207	−	3.15470i	−1.20427	−	0.874956i	−0.994698	+	0.102836i	$0.967208\pi$
$14$	−0.865167	+	1.89971i	−0.231225	+	0.507718i
$15$	−3.62234	−	1.37065i	−0.935283	−	0.353901i
$16$	−0.552686	+	3.96163i	−0.138171	+	0.990408i
$17$	−2.18574	−	6.72702i	−0.530120	−	1.63154i	−0.753963	−	0.656916i	$-0.771860\pi$
$17$	−2.18574	−	6.72702i	−0.530120	−	1.63154i	0.223844	−	0.974625i	$-0.428140\pi$
$18$	−4.19769	+	0.615941i	−0.989405	+	0.145179i
$19$	0.235261	+	0.724060i	0.0539726	+	0.166111i	0.974409	−	0.224781i	$-0.0721667\pi$
$19$	0.235261	+	0.724060i	0.0539726	+	0.166111i	−0.920437	+	0.390892i	$0.872167\pi$
$20$	2.94068	−	3.36934i	0.657555	−	0.753406i
$21$	1.22317	−	2.24499i	0.266916	−	0.489897i
$22$	1.26391	−	0.257479i	0.269467	−	0.0548946i
$23$	−2.16707	−	2.98271i	−0.451865	−	0.621938i	0.520932	−	0.853598i	$-0.325584\pi$
$23$	−2.16707	−	2.98271i	−0.451865	−	0.621938i	−0.972797	+	0.231660i	$0.925584\pi$
$24$	1.02190	−	4.79121i	0.208594	−	0.978002i
$25$	−4.81311	+	1.35423i	−0.962622	+	0.270847i
$26$	−6.60524	+	3.73927i	−1.29540	+	0.733332i
$27$	5.18187	−	0.385053i	0.997251	−	0.0741034i
$28$	1.93787	+	2.22699i	0.366223	+	0.420861i
$29$	−0.203775	+	0.627154i	−0.0378400	+	0.116460i	−0.968192	−	0.250207i	$-0.919501\pi$
$29$	−0.203775	+	0.627154i	−0.0378400	+	0.116460i	0.930352	+	0.366667i	$0.119501\pi$
$30$	−3.88726	+	3.85865i	−0.709713	+	0.704490i
$31$	−3.25079	+	1.05624i	−0.583859	+	0.189707i	−0.586028	−	0.810290i	$-0.699309\pi$
$31$	−3.25079	+	1.05624i	−0.583859	+	0.189707i	0.00216978	+	0.999998i	$0.499309\pi$
$32$	4.77478	+	3.03339i	0.844070	+	0.536233i
$33$	−1.56655	+	0.203920i	−0.272701	+	0.0354979i
$34$	−9.93901	−	1.12986i	−1.70453	−	0.193770i
$35$	−0.451205	−	3.26954i	−0.0762676	−	0.552654i
$36$	−1.66770	+	5.76357i	−0.277950	+	0.960596i
$37$	−4.66999	−	3.39294i	−0.767741	−	0.557796i	0.133534	−	0.991044i	$-0.457368\pi$
$37$	−4.66999	−	3.39294i	−0.767741	−	0.557796i	−0.901275	+	0.433248i	$0.857368\pi$
$38$	1.06978	+	0.121612i	0.173541	+	0.0197281i
$39$	8.39632	−	3.98984i	1.34449	−	0.638886i
$40$	−2.61278	−	5.75963i	−0.413117	−	0.910678i
$41$	−3.62063	+	4.98337i	−0.565448	+	0.778272i	−0.992006	−	0.126188i	$-0.959726\pi$
$41$	−3.62063	+	4.98337i	−0.565448	+	0.778272i	0.426559	+	0.904460i	$0.359726\pi$
$42$	−2.17242	−	2.89012i	−0.335211	−	0.445956i
$43$			3.92012i			0.597813i	0.954282	+	0.298906i	$0.0966219\pi$
$43$			3.92012i			0.597813i	−0.954282	+	0.298906i	$0.903378\pi$
$44$	0.409446	−	1.77761i	0.0617264	−	0.267985i
$45$	5.08645	−	4.37356i	0.758243	−	0.651972i
$46$	−5.10903	+	1.04079i	−0.753286	+	0.153456i
$47$	4.90302	+	1.59309i	0.715179	+	0.232376i	0.643932	−	0.765083i	$-0.277302\pi$
$47$	4.90302	+	1.59309i	0.715179	+	0.232376i	0.0712471	+	0.997459i	$0.477302\pi$
$48$	−5.56745	−	4.12353i	−0.803592	−	0.595180i
$49$	−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	$-0.202475\pi$
$53$	8.05205	+	2.61627i	1.10603	+	0.359372i	0.301612	+	0.953431i	$0.402475\pi$
$54$	2.54172	−	6.89490i	0.345885	−	0.938277i
$55$	−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	−0.378650	+	0.925540i	$0.623611\pi$
$59$	−8.77096	+	12.0722i	−1.14188	+	1.57166i	−0.763232	+	0.646125i	$0.776389\pi$
$60$	2.68772	+	7.26472i	0.346983	+	0.937871i
$61$	−1.97170	−	2.71382i	−0.252451	−	0.347468i	0.663917	−	0.747806i	$-0.268893\pi$
$61$	−1.97170	−	2.71382i	−0.252451	−	0.347468i	−0.916368	+	0.400338i	$0.868893\pi$
$62$	−0.545998	+	4.80296i	−0.0693418	+	0.609977i
$63$	2.40091	+	3.72075i	0.302486	+	0.468770i
$64$	6.70275	−	4.36729i	0.837843	−	0.545911i
$65$	5.66058	−	10.5824i	0.702109	−	1.31258i
$66$	−0.655765	+	2.13572i	−0.0807191	+	0.262888i
$67$	4.51522	−	1.46708i	0.551621	−	0.179233i	−0.0199263	−	0.999801i	$-0.506343\pi$
$67$	4.51522	−	1.46708i	0.551621	−	0.179233i	0.571548	+	0.820569i	$0.306343\pi$
$68$	−7.27981	+	12.1295i	−0.882806	+	1.47092i
$69$	6.33236	−	0.824292i	0.762326	−	0.0992331i
$70$	−4.47246	−	1.33569i	−0.534562	−	0.159646i
$71$	−1.57843	+	4.85790i	−0.187325	+	0.576527i	−0.999981	−	0.00621731i	$-0.998021\pi$
$71$	−1.57843	+	4.85790i	−0.187325	+	0.576527i	0.812656	+	0.582744i	$0.198021\pi$
$72$	6.44038	+	5.52463i	0.759006	+	0.651084i
$73$	−7.05593	−	9.71166i	−0.825835	−	1.13666i	−0.988684	−	0.150013i	$-0.952069\pi$
$73$	−7.05593	−	9.71166i	−0.825835	−	1.13666i	0.162850	−	0.986651i	$-0.447931\pi$
$74$	−7.10408	+	4.02166i	−0.825832	+	0.467509i
$75$	1.92880	−	8.44273i	0.222719	−	0.974883i
$76$	0.783559	−	1.30556i	0.0898804	−	0.149758i
$77$	−0.791314	−	1.08915i	−0.0901786	−	0.124120i
$78$	−0.213624	−	13.1449i	−0.0241881	−	1.48837i
$79$	4.20401	+	1.36596i	0.472988	+	0.153683i	0.535804	−	0.844342i	$-0.320008\pi$
$79$	4.20401	+	1.36596i	0.472988	+	0.153683i	−0.0628169	+	0.998025i	$0.520008\pi$
$80$	−8.94426	−	0.0132246i	−0.999999	−	0.00147855i
$81$	−3.70846	+	8.20045i	−0.412051	+	0.911161i
$82$	4.29154	+	7.58080i	0.473922	+	0.837160i
$83$	−3.26583	−	10.0512i	−0.358471	−	1.10326i	−0.953969	−	0.299904i	$-0.903045\pi$
$83$	−3.26583	−	10.0512i	−0.358471	−	1.10326i	0.595498	−	0.803357i	$-0.296955\pi$
$84$	−4.99301	+	1.10195i	−0.544782	+	0.120232i
$85$	14.2327	−	6.89793i	1.54375	−	0.748186i
$86$	5.04531	+	2.29774i	0.544049	+	0.247771i
$87$	−0.785007	−	0.829641i	−0.0841616	−	0.0889469i
$88$	−2.04784	−	1.56890i	−0.218300	−	0.167245i
$89$	4.83327	+	6.65243i	0.512326	+	0.705156i	0.984309	−	0.176451i	$-0.0564618\pi$
$89$	4.83327	+	6.65243i	0.512326	+	0.705156i	−0.471983	+	0.881607i	$0.656462\pi$
$90$	−2.64753	−	9.10992i	−0.279074	−	0.960270i
$91$	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
$96$	−8.57040	+	4.74850i	−0.874713	+	0.484642i
$97$	−10.3792	−	3.37242i	−1.05385	−	0.342417i	−0.269673	−	0.962952i	$-0.586916\pi$
$97$	−10.3792	−	3.37242i	−1.05385	−	0.342417i	−0.784179	+	0.620535i	$0.786916\pi$
$98$	−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	$-0.232031\pi$
$101$	14.9919			1.49175			0.745876	+	0.666085i	$0.232031\pi$
$102$	9.95471	−	14.1804i	0.985663	−	1.40407i
$103$	−4.11031	+	12.6502i	−0.405001	+	1.24647i	0.515893	+	0.856653i	$0.327460\pi$
$103$	−4.11031	+	12.6502i	−0.405001	+	1.24647i	−0.920894	+	0.389813i	$0.872540\pi$
$104$	14.3135	+	5.05648i	1.40356	+	0.495828i
$105$	5.34672	+	2.02314i	0.521786	+	0.197438i
$106$	8.08684	−	8.82971i	0.785463	−	0.857618i
$107$	1.46271			0.141405			0.0707027	−	0.997497i	$-0.477476\pi$
$107$	1.46271			0.141405			0.0707027	+	0.997497i	$0.477476\pi$
$108$	−7.38412	−	7.31264i	−0.710538	−	0.703659i
$109$	5.78662	−	7.96460i	0.554258	−	0.762870i	−0.436325	−	0.899789i	$-0.643720\pi$
$109$	5.78662	−	7.96460i	0.554258	−	0.762870i	0.990582	+	0.136919i	$0.0437200\pi$
$110$	0.956695	+	2.72095i	0.0912172	+	0.259433i
$111$	9.03042	−	4.29116i	0.857129	−	0.407299i
$112$	0.815788	−	5.84754i	0.0770847	−	0.552540i
$113$	−2.63426	−	1.91390i	−0.247810	−	0.180045i	0.456945	−	0.889495i	$-0.348943\pi$
$113$	−2.63426	−	1.91390i	−0.247810	−	0.180045i	−0.704756	+	0.709450i	$0.748943\pi$
$114$	−1.07147	+	1.52631i	−0.100352	+	0.142952i
$115$	5.94449	−	5.71199i	0.554326	−	0.532645i
$116$	1.21375	−	0.515933i	0.112694	−	0.0479032i
$117$	−0.889499	+	16.0767i	−0.0822342	+	1.48629i
$118$	10.3962	+	18.3645i	0.957051	+	1.69058i
$119$	3.22625	+	9.92936i	0.295749	+	0.910223i
$120$	10.9253	+	0.798973i	0.997337	+	0.0729359i
$121$	3.14212	−	9.67045i	0.285647	−	0.879132i
$122$	−4.64845	+	0.946962i	−0.420851	+	0.0857339i
$123$	−4.57912	−	9.63642i	−0.412886	−	0.868886i
$124$	5.86151	+	3.51792i	0.526379	+	0.315918i
$125$	−4.47103	−	10.2474i	−0.399901	−	0.916558i
$126$	6.19597	−	0.909155i	0.551981	−	0.0809940i
$127$	5.12347	−	3.72242i	0.454635	−	0.330311i	−0.336788	−	0.941580i	$-0.609341\pi$
$127$	5.12347	−	3.72242i	0.454635	−	0.330311i	0.791423	+	0.611269i	$0.209341\pi$
$128$	−1.69208	−	11.1865i	−0.149560	−	0.988753i
$129$	−5.96231	−	3.24852i	−0.524952	−	0.286016i
$130$	−10.3019	−	13.4881i	−0.903536	−	1.18298i
$131$	−2.23994	+	0.727801i	−0.195705	+	0.0635883i	−0.405229	−	0.914215i	$-0.632808\pi$
$131$	−2.23994	+	0.727801i	−0.195705	+	0.0635883i	0.209525	+	0.977803i	$0.432808\pi$
$132$	2.36436	+	2.09581i	0.205791	+	0.182417i
$133$	−0.347256	−	1.06874i	−0.0301109	−	0.0926718i
$134$	0.758370	−	6.67112i	0.0655132	−	0.576297i
$135$	2.43694	+	11.3605i	0.209739	+	0.977757i
$136$	11.3441	+	16.4789i	0.972744	+	1.41305i
$137$	8.01641	+	5.82426i	0.684888	+	0.497600i	0.874976	−	0.484167i	$-0.160877\pi$
$137$	8.01641	+	5.82426i	0.684888	+	0.497600i	−0.190088	+	0.981767i	$0.560877\pi$
$138$	2.65076	−	8.63307i	0.225647	−	0.734896i
$139$	−10.4708	+	7.60751i	−0.888125	+	0.645261i	−0.935388	−	0.353622i	$-0.884950\pi$
$139$	−10.4708	+	7.60751i	−0.888125	+	0.645261i	0.0472634	+	0.998882i	$0.484950\pi$
$140$	−4.34056	+	4.97328i	−0.366845	+	0.420319i
$141$	−6.48603	+	6.13709i	−0.546223	+	0.516836i
$142$	5.32707	+	4.87889i	0.447038	+	0.409427i
$143$		−	4.89520i		−	0.409358i
$144$	10.8853	−	5.05074i	0.907109	−	0.420895i
$145$	−1.45149	−	0.259664i	−0.120539	−	0.0215639i
$146$	−16.6349	+	3.38880i	−1.37672	+	0.280459i
$147$	3.99531	−	7.33296i	0.329527	−	0.604812i
$148$	1.01202	+	11.5004i	0.0831871	+	0.945327i
$149$	−15.4441			−1.26523			−0.632613	−	0.774468i	$-0.718018\pi$
$149$	−15.4441			−1.26523			−0.632613	+	0.774468i	$0.718018\pi$
$150$	−9.73549	−	7.43104i	−0.794899	−	0.606742i
$151$		−	20.8534i		−	1.69702i	−0.529178	−	0.848511i	$-0.677500\pi$
$151$		−	20.8534i		−	1.69702i	0.529178	−	0.848511i	$-0.322500\pi$
$152$	−1.22101	−	1.77370i	−0.0990372	−	0.143866i
$153$	−13.4019	+	16.4518i	−1.08348	+	1.33005i
$154$	−1.86559	+	0.380049i	−0.150333	+	0.0306253i
$155$	−3.33338	−	6.87786i	−0.267744	−	0.552443i
$156$	−17.0431	−	7.42981i	−1.36454	−	0.594861i
$157$	−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
$159$	−10.6518	+	10.0787i	−0.844741	+	0.799295i
$160$	−5.25960	+	11.5038i	−0.415808	+	0.909452i
$161$	3.19868	+	4.40261i	0.252091	+	0.346974i
$162$	8.38053	+	9.57949i	0.658437	+	0.752636i
$163$	−11.3005	+	15.5538i	−0.885122	+	1.21827i	0.0898540	+	0.995955i	$0.471360\pi$
$163$	−11.3005	+	15.5538i	−0.885122	+	1.21827i	−0.974976	+	0.222311i	$0.928640\pi$
$164$	12.2721	−	1.07993i	0.958294	−	0.0843282i
$165$	−0.930569	−	3.40768i	−0.0724447	−	0.265288i
$166$	−14.8504	−	1.68818i	−1.15261	−	0.131029i
$167$	−1.56206	+	0.507544i	−0.120876	+	0.0392749i	−0.368830	−	0.929497i	$-0.620242\pi$
$167$	−1.56206	+	0.507544i	−0.120876	+	0.0392749i	0.247954	+	0.968772i	$0.420242\pi$
$168$	−1.50836	+	7.07203i	−0.116373	+	0.545619i
$169$	4.88423	+	15.0321i	0.375710	+	1.15632i
$170$	−0.535488	−	22.3610i	−0.0410701	−	1.71501i
$171$	1.44251	−	1.77078i	0.110311	−	0.135415i
$172$	5.91450	−	5.14665i	0.450977	−	0.392429i
$173$	−0.170155	−	0.234199i	−0.0129367	−	0.0178058i	0.802500	−	0.596653i	$-0.203503\pi$
$173$	−0.170155	−	0.234199i	−0.0129367	−	0.0178058i	−0.815436	+	0.578847i	$0.803503\pi$
$174$	−1.52789	+	0.524041i	−0.115829	+	0.0397274i
$175$	7.10436	−	1.99891i	0.537039	−	0.151103i
$176$	−3.21953	+	1.71603i	−0.242681	+	0.129351i
$177$	−11.0929	−	23.3442i	−0.833793	−	1.75465i
$178$	11.3948	−	2.32131i	0.854079	−	0.173989i
$179$	20.5092	+	6.66383i	1.53293	+	0.498078i	0.949415	−	0.314026i	$-0.101678\pi$
$179$	20.5092	+	6.66383i	1.53293	+	0.498078i	0.583513	+	0.812104i	$0.301678\pi$
$180$	−13.2765	−	1.93223i	−0.989575	−	0.144020i
$181$	17.3582	−	5.64002i	1.29022	−	0.419219i	0.418054	−	0.908422i	$-0.362712\pi$
$181$	17.3582	−	5.64002i	1.29022	−	0.419219i	0.872170	+	0.489203i	$0.162712\pi$
$182$	9.74962	−	5.51933i	0.722690	−	0.409120i
$183$	5.76149	−	0.749981i	0.425901	−	0.0554402i
$184$	8.27785	+	6.34185i	0.610251	+	0.467527i
$185$	6.08807	−	11.3815i	0.447604	−	0.836788i
$186$	−6.85261	−	4.81055i	−0.502458	−	0.352727i
$187$	3.79198	−	5.21922i	0.277297	−	0.381667i
$188$	−4.03350	−	9.48899i	−0.294173	−	0.692056i
$189$	−7.64865	+	0.568354i	−0.556358	+	0.0413417i
$190$	0.0576370	+	2.40682i	0.00418143	+	0.174609i
$191$	−21.2619	−	15.4476i	−1.53845	−	1.11775i	−0.951296	−	0.308279i	$-0.900247\pi$
$191$	−21.2619	−	15.4476i	−1.53845	−	1.11775i	−0.587158	−	0.809473i	$-0.699753\pi$
$192$	1.08800	+	13.8136i	0.0785199	+	0.996913i
$193$			6.87149i			0.494620i	0.968936	+	0.247310i	$0.0795467\pi$
$193$			6.87149i			0.494620i	−0.968936	+	0.247310i	$0.920453\pi$
$194$	−10.4241	+	11.3817i	−0.748405	+	0.817156i
$195$	11.4044	+	17.3788i	0.816689	+	1.24453i
$196$	6.32979	+	7.27416i	0.452128	+	0.519583i
$197$	−15.0091	−	4.87675i	−1.06935	−	0.347454i	−0.279117	−	0.960257i	$-0.590042\pi$
$197$	−15.0091	−	4.87675i	−1.06935	−	0.347454i	−0.790235	+	0.612803i	$0.790042\pi$
$198$	−2.70490	−	2.76721i	−0.192229	−	0.196657i
$199$			7.62921i			0.540821i	0.962745	+	0.270410i	$0.0871594\pi$
$199$			7.62921i			0.540821i	−0.962745	+	0.270410i	$0.912841\pi$
$200$	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
$204$	−12.4158	−	21.1237i	−0.869279	−	1.47896i
$205$	−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
$210$	5.73776	−	5.69554i	0.395943	−	0.393029i
$211$	14.9820	−	10.8851i	1.03141	−	0.749361i	0.0628166	−	0.998025i	$-0.479992\pi$
$211$	14.9820	−	10.8851i	1.03141	−	0.749361i	0.968590	+	0.248665i	$0.0799917\pi$
$212$	−6.62407	−	15.5834i	−0.454943	−	1.07027i
$213$	−6.08062	−	6.42635i	−0.416637	−	0.440326i
$214$	0.857352	−	1.88255i	0.0586074	−	0.128688i
$215$	−8.68336	+	1.19833i	−0.592200	+	0.0817252i
$216$	−13.7397	+	5.21735i	−0.934868	+	0.354996i
$217$	4.79830	−	1.55906i	0.325730	−	0.105836i
$218$	−6.85890	−	12.1159i	−0.464543	−	0.820593i
$219$	20.6181	−	2.68388i	1.39324	−	0.181360i
$220$	4.06270	+	0.363565i	0.273907	+	0.0245115i
$221$	−11.7311	+	36.1045i	−0.789118	+	2.42865i
$222$	−0.229757	−	14.1376i	−0.0154203	−	0.948855i
$223$	7.18669	−	5.22144i	0.481256	−	0.349653i	−0.320555	−	0.947230i	$-0.603870\pi$
$223$	7.18669	−	5.22144i	0.481256	−	0.349653i	0.801812	+	0.597576i	$0.203870\pi$
$224$	−7.04778	−	4.47741i	−0.470900	−	0.299160i
$225$	11.2426	+	9.92992i	0.749508	+	0.661995i
$226$	−4.00729	+	2.26855i	−0.266561	+	0.150902i
$227$	−10.8630	+	7.89245i	−0.721004	+	0.523840i	−0.886705	−	0.462336i	$-0.847011\pi$
$227$	−10.8630	+	7.89245i	−0.721004	+	0.523840i	0.165701	+	0.986176i	$0.447011\pi$
$228$	1.33637	+	2.27364i	0.0885031	+	0.150576i
$229$	4.70267	+	1.52799i	0.310761	+	0.100972i	0.460246	−	0.887792i	$-0.347761\pi$
$229$	4.70267	+	1.52799i	0.310761	+	0.100972i	−0.149484	+	0.988764i	$0.547761\pi$
$230$	−3.86719	−	10.9987i	−0.254995	−	0.725235i
$231$	2.31229	−	0.300994i	0.152138	−	0.0198040i
$232$	0.0474095	−	1.86454i	0.00311258	−	0.122413i
$233$	1.18426	+	3.64477i	0.0775832	+	0.238777i	0.982325	−	0.187184i	$-0.0599361\pi$
$233$	1.18426	+	3.64477i	0.0775832	+	0.238777i	−0.904742	+	0.425961i	$0.859936\pi$
$234$	20.1698	+	10.5680i	1.31854	+	0.690851i
$235$	−2.03002	+	11.3475i	−0.132424	+	0.740232i
$236$	29.7292	−	2.61612i	1.93521	−	0.170295i
$237$	−5.56133	+	5.26214i	−0.361247	+	0.341813i
$238$	14.6704	+	1.66772i	0.950941	+	0.108102i
$239$	20.9577	−	15.2267i	1.35564	−	0.984932i	0.356934	−	0.934130i	$-0.383822\pi$
$239$	20.9577	−	15.2267i	1.35564	−	0.984932i	0.998709	−	0.0508026i	$-0.0161779\pi$
$240$	7.43203	−	13.5928i	0.479736	−	0.877413i
$241$	−6.95611	−	5.05391i	−0.448082	−	0.325551i	0.340756	−	0.940152i	$-0.389317\pi$
$241$	−6.95611	−	5.05391i	−0.448082	−	0.325551i	−0.788838	+	0.614601i	$0.789317\pi$
$242$	−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
$246$	−15.0863	+	0.245175i	−0.961870	+	0.0156318i
$247$	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	$0.880202\pi$
$252$	2.46159	−	8.50728i	0.155066	−	0.535908i
$253$	1.03912	−	3.19809i	0.0653292	−	0.201062i
$254$	−1.78779	−	8.77591i	−0.112176	−	0.550650i
$255$	−1.30292	+	27.3634i	−0.0815918	+	1.71356i
$256$	−15.3891	−	4.37908i	−0.961817	−	0.273692i
$257$	8.81024			0.549568			0.274784	−	0.961506i	$-0.411394\pi$
$257$	8.81024			0.549568			0.274784	+	0.961506i	$0.411394\pi$
$258$	−7.67568	+	5.76957i	−0.477867	+	0.359198i
$259$	6.89310	+	5.00813i	0.428316	+	0.311190i
$260$	−23.3979	+	5.35294i	−1.45107	+	0.331975i
$261$	1.91236	−	0.506451i	0.118372	−	0.0313486i
$262$	−0.376218	+	3.30946i	−0.0232428	+	0.204459i
$263$	−7.17890	+	9.88090i	−0.442670	+	0.609283i	−0.970803	−	0.239879i	$-0.922892\pi$
$263$	−7.17890	+	9.88090i	−0.442670	+	0.609283i	0.528133	+	0.849162i	$0.322892\pi$
$264$	4.08321	−	1.81455i	0.251304	−	0.111678i
$265$	−3.33383	+	18.6356i	−0.204796	+	1.14478i
$266$	−1.57904	−	0.179505i	−0.0968173	−	0.0110061i
$267$	−14.1232	+	1.83844i	−0.864329	+	0.112511i
$268$	−8.14141	−	4.88625i	−0.497316	−	0.298475i
$269$	8.74298	+	26.9081i	0.533069	+	1.64062i	0.747785	+	0.663941i	$0.231117\pi$
$269$	8.74298	+	26.9081i	0.533069	+	1.64062i	−0.214717	+	0.976676i	$0.568883\pi$
$270$	16.0497	+	3.52243i	0.976753	+	0.214368i
$271$	−22.5131	−	7.31496i	−1.36757	−	0.444352i	−0.469010	−	0.883193i	$-0.655389\pi$
$271$	−22.5131	−	7.31496i	−1.36757	−	0.444352i	−0.898565	+	0.438841i	$0.855389\pi$
$272$	27.8580	−	4.94118i	1.68914	−	0.299603i
$273$	−12.3933	+	5.88918i	−0.750079	+	0.356429i
$274$	12.1947	−	6.90351i	0.736710	−	0.417056i
$275$	−3.57961	−	2.82551i	−0.215858	−	0.170385i
$276$	−9.55729	−	8.47178i	−0.575281	−	0.509941i
$277$	−10.1520	+	7.37585i	−0.609974	+	0.443172i	−0.849405	−	0.527742i	$-0.823039\pi$
$277$	−10.1520	+	7.37585i	−0.609974	+	0.443172i	0.239431	+	0.970913i	$0.423039\pi$
$278$	3.65371	+	17.9353i	0.219135	+	1.07569i
$279$	7.95022	+	6.47638i	0.475967	+	0.387731i
$280$	3.85658	+	8.50146i	0.230475	+	0.508060i
$281$	−15.5603	+	5.05586i	−0.928253	+	0.301608i	−0.733848	−	0.679314i	$-0.762277\pi$
$281$	−15.5603	+	5.05586i	−0.928253	+	0.301608i	−0.194405	+	0.980921i	$0.562277\pi$
$282$	4.09689	+	11.9449i	0.243966	+	0.711308i
$283$	−8.52457	+	2.76980i	−0.506733	+	0.164647i	−0.551216	−	0.834363i	$-0.685836\pi$
$283$	−8.52457	+	2.76980i	−0.506733	+	0.164647i	0.0444830	+	0.999010i	$0.485836\pi$
$284$	9.40167	−	3.99638i	0.557887	−	0.237142i
$285$	0.140239	−	2.94525i	0.00830703	−	0.174461i
$286$	−6.30026	−	2.86927i	−0.372542	−	0.169664i
$287$	5.34421	−	7.35567i	0.315458	−	0.434191i
$288$	−0.120128	−	16.9701i	−0.00707863	−	0.999975i
$289$	−26.7220	+	19.4147i	−1.57188	+	1.14204i
$290$	−1.18497	+	1.71590i	−0.0695837	+	0.100761i
$291$	13.7303	−	12.9917i	0.804887	−	0.761585i
$292$	−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	$0.793415\pi$
$294$	−7.09591	−	9.44021i	−0.413842	−	0.550564i
$295$	−29.4220	−	15.7380i	−1.71301	−	0.916303i
$296$	15.3945	+	5.43835i	0.894788	+	0.316097i
$297$	3.06215	+	3.61720i	0.177684	+	0.209891i
$298$	−9.05237	+	19.8769i	−0.524390	+	1.15144i
$299$			19.7876i			1.14435i
$300$	−15.2703	+	8.17422i	−0.881631	+	0.471939i
$301$		−	5.78626i		−	0.333515i
$302$	−26.8388	−	12.2230i	−1.54440	−	0.703353i
$303$	−12.4235	+	22.8020i	−0.713710	+	1.30994i
$304$	−2.99848	+	0.531841i	−0.171975	+	0.0305032i
$305$	5.40858	−	5.19704i	0.309694	−	0.297582i
$306$	13.3185	+	26.8917i	0.761369	+	1.53729i
$307$		−	24.2712i		−	1.38523i	−0.721307	−	0.692615i	$-0.756458\pi$
$307$		−	24.2712i		−	1.38523i	0.721307	−	0.692615i	$-0.243542\pi$
$308$	−0.604360	+	2.62383i	−0.0344366	+	0.149506i
$309$	−15.8343	−	16.7346i	−0.900780	−	0.951997i
$310$	−10.8058	+	0.258771i	−0.613729	+	0.0146972i
$311$	6.50145	−	4.72358i	0.368664	−	0.267850i	−0.387993	−	0.921662i	$-0.626832\pi$
$311$	6.50145	−	4.72358i	0.368664	−	0.267850i	0.756657	+	0.653813i	$0.226832\pi$
$312$	−19.5520	+	17.5800i	−1.10691	+	0.995272i
$313$	0.190794	−	0.262606i	0.0107843	−	0.0148434i	−0.803591	−	0.595182i	$-0.797080\pi$
$313$	0.190794	−	0.262606i	0.0107843	−	0.0148434i	0.814375	+	0.580339i	$0.197080\pi$
$314$	−8.26597	+	18.1502i	−0.466476	+	1.02427i
$315$	−7.50781	+	6.45556i	−0.423017	+	0.363730i
$316$	−3.45845	−	8.13616i	−0.194553	−	0.457695i
$317$	14.0729	−	4.57256i	0.790412	−	0.256820i	0.114132	−	0.993466i	$-0.463591\pi$
$317$	14.0729	−	4.57256i	0.790412	−	0.256820i	0.676279	+	0.736645i	$0.263591\pi$
$318$	6.72817	+	19.6167i	0.377297	+	1.10005i
$319$	−0.572013	+	0.185858i	−0.0320266	+	0.0104061i
$320$	11.7228	+	13.5121i	0.655325	+	0.755347i
$321$	−1.21212	+	2.22471i	−0.0676537	+	0.124171i
$322$	7.54115	−	1.53625i	0.420252	−	0.0856119i
$323$	4.35654	−	3.16521i	0.242405	−	0.176117i
$324$	17.2412	−	5.17106i	0.957846	−	0.287281i
$325$	25.1711	+	9.30374i	1.39624	+	0.516079i
$326$	13.3945	+	23.6607i	0.741852	+	1.31045i
$327$	7.31851	+	15.4013i	0.404715	+	0.851692i
$328$	5.80329	−	16.4276i	0.320433	−	0.907062i
$329$	−7.23706	−	2.35146i	−0.398992	−	0.129640i
$330$	−4.93123	−	0.799710i	−0.271455	−	0.0440226i
$331$	−10.1271	−	31.1680i	−0.556636	−	1.71315i	−0.691582	−	0.722298i	$-0.743086\pi$
$331$	−10.1271	−	31.1680i	−0.556636	−	1.71315i	0.134946	−	0.990853i	$-0.456914\pi$
$332$	−10.8771	+	18.1234i	−0.596960	+	0.994648i
$333$	−0.956675	+	17.2908i	−0.0524255	+	0.947531i
$334$	−0.262362	+	2.30791i	−0.0143558	+	0.126283i
$335$	4.62994	+	9.55307i	0.252960	+	0.521940i
$336$	8.21779	+	6.08650i	0.448317	+	0.332046i
$337$	19.0186	−	26.1769i	1.03601	−	1.42595i	0.135672	−	0.990754i	$-0.456681\pi$
$337$	19.0186	−	26.1769i	1.03601	−	1.42595i	0.900338	−	0.435191i	$-0.143319\pi$
$338$	22.2096	+	2.52478i	1.20804	+	0.137330i
$339$	5.09391	−	2.42057i	0.276663	−	0.131467i
$340$	−29.0931	−	12.4175i	−1.57780	−	0.673433i
$341$	−2.52215	−	1.83245i	−0.136582	−	0.0992328i
$342$	−1.43353	−	2.89447i	−0.0775166	−	0.156515i
$343$	17.4487			0.942143
$344$	−3.15716	−	10.6288i	−0.170223	−	0.573066i
$345$	3.76158	+	13.7747i	0.202517	+	0.741603i
$346$	−0.401155	+	0.0817215i	−0.0215662	+	0.00439338i
$347$	−6.39849	+	19.6925i	−0.343489	+	1.05715i	0.618899	+	0.785471i	$0.287579\pi$
$347$	−6.39849	+	19.6925i	−0.343489	+	1.05715i	−0.962388	+	0.271679i	$0.912421\pi$
$348$	−0.221104	+	2.27360i	−0.0118524	+	0.121878i
$349$			25.2430i			1.35122i	0.737257	+	0.675612i	$0.236121\pi$
$349$			25.2430i			1.35122i	−0.737257	+	0.675612i	$0.763879\pi$
$350$	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	−0.394781	−	0.918775i	$-0.629180\pi$
$353$	8.72990	−	26.8679i	0.464646	−	1.43003i	0.859427	−	0.511258i	$-0.170820\pi$
$354$	−36.5466	+	0.593935i	−1.94243	+	0.0315673i
$355$	−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	$-0.455535\pi$
$359$	−14.3910	−	10.4557i	−0.759529	−	0.551830i	−0.898766	+	0.438429i	$0.855535\pi$
$360$	−10.2687	+	15.9547i	−0.541210	+	0.840887i
$361$	14.9024	−	10.8272i	0.784337	−	0.569854i
$362$	2.91546	−	25.6463i	0.153233	−	1.34794i
$363$	12.1045	+	12.7927i	0.635320	+	0.671443i
$364$	−1.38889	−	15.7831i	−0.0727975	−	0.827261i
$365$	19.3552	−	18.5981i	1.01309	−	0.973471i
$366$	2.41179	−	7.85479i	0.126066	−	0.410576i
$367$	1.72278	+	5.30217i	0.0899284	+	0.276771i	0.985899	−	0.167343i	$-0.0535186\pi$
$367$	1.72278	+	5.30217i	0.0899284	+	0.276771i	−0.895970	+	0.444114i	$0.853519\pi$
$368$	13.0141	−	6.93662i	0.678408	−	0.361596i
$369$	18.4511	+	1.02087i	0.960528	+	0.0531446i
$370$	−11.0799	−	14.5067i	−0.576017	−	0.754167i
$371$	−11.8852	−	3.86172i	−0.617047	−	0.200491i
$372$	−10.2079	+	5.99985i	−0.529255	+	0.311078i
$373$	−24.0659	+	17.4849i	−1.24609	+	0.905335i	−0.997988	−	0.0633995i	$-0.979806\pi$
$373$	−24.0659	+	17.4849i	−1.24609	+	0.905335i	−0.248099	+	0.968735i	$0.579806\pi$
$374$	−4.49465	−	7.93958i	−0.232413	−	0.410546i
$375$	19.2909	+	1.69161i	0.996177	+	0.0873544i
$376$	−14.5768	−	0.370642i	−0.751740	−	0.0191144i
$377$	2.86329	−	2.08030i	0.147467	−	0.107141i
$378$	−3.75169	+	10.1772i	−0.192966	+	0.523457i
$379$	−6.37438	+	19.6183i	−0.327430	+	1.00773i	0.642902	+	0.765948i	$0.277730\pi$
$379$	−6.37438	+	19.6183i	−0.327430	+	1.00773i	−0.970332	+	0.241777i	$0.922270\pi$
$380$	3.13143	+	1.33655i	0.160639	+	0.0685636i
$381$	1.41591	+	10.8772i	0.0725391	+	0.557258i
$382$	−32.3440	+	18.3101i	−1.65486	+	0.936827i
$383$	−33.9753	+	11.0392i	−1.73606	+	0.564079i	−0.994303	−	0.106595i	$-0.966005\pi$
$383$	−33.9753	+	11.0392i	−1.73606	+	0.564079i	−0.741753	+	0.670674i	$0.766005\pi$
$384$	18.4162	+	6.69642i	0.939800	+	0.341725i
$385$	2.17066	−	2.08576i	0.110627	−	0.106300i
$386$	8.84379	+	4.02765i	0.450137	+	0.205002i
$387$	9.88168	−	6.37640i	0.502314	−	0.324131i
$388$	8.53855	+	20.0873i	0.433479	+	1.01978i
$389$	10.1156	−	7.34945i	0.512884	−	0.372632i	−0.301033	−	0.953614i	$-0.597331\pi$
$389$	10.1156	−	7.34945i	0.512884	−	0.372632i	0.813916	+	0.580982i	$0.197331\pi$
$390$	29.0517	−	4.49141i	1.47109	−	0.227431i
$391$	−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
$396$	−5.14692	+	1.85931i	−0.258643	+	0.0934339i
$397$	5.65857	−	17.4153i	0.283995	−	0.874048i	−0.702703	−	0.711484i	$-0.748024\pi$
$397$	5.65857	−	17.4153i	0.283995	−	0.874048i	0.986698	−	0.162564i	$-0.0519765\pi$
$398$	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	$-0.340513\pi$
$402$	9.51801	+	6.68166i	0.474715	+	0.333251i
$403$	17.4473	+	5.66897i	0.869111	+	0.282391i
$404$	−19.6826	−	22.6191i	−0.979246	−	1.12534i
$405$	−19.2982	−	5.70775i	−0.958937	−	0.283620i
$406$	−1.01511	−	0.929706i	−0.0503791	−	0.0461405i
$407$		−	5.26489i		−	0.260971i
$408$	−34.4642	+	3.59803i	−1.70623	+	0.178129i
$409$	−1.41903	−	1.03098i	−0.0701664	−	0.0509788i	0.552149	−	0.833745i	$-0.313808\pi$
$409$	−1.41903	−	1.03098i	−0.0701664	−	0.0509788i	−0.622315	+	0.782767i	$0.713808\pi$
$410$	−15.4802	+	11.8234i	−0.764512	+	0.583918i
$411$	−15.5014	+	7.36612i	−0.764630	+	0.363344i
$412$	24.4825	−	10.4068i	1.20617	−	0.512707i
$413$	12.9463	−	17.8191i	0.637046	−	0.876819i
$414$	10.9339	+	11.1857i	0.537369	+	0.549748i
$415$	21.2658	−	10.3066i	1.04390	−	0.505929i
$416$	−11.1630	−	28.2342i	−0.547311	−	1.38430i
$417$	−2.89369	−	22.2298i	−0.141704	−	1.08860i
$418$	0.483779	+	0.854573i	0.0236624	+	0.0417985i
$419$	−13.8809	+	4.51019i	−0.678128	+	0.220337i	−0.627776	−	0.778394i	$-0.716034\pi$
$419$	−13.8809	+	4.51019i	−0.678128	+	0.220337i	−0.0503524	+	0.998732i	$0.516034\pi$
$420$	−3.96718	−	10.7230i	−0.193579	−	0.523231i
$421$	−0.257110	−	0.0835399i	−0.0125308	−	0.00407149i	0.302745	−	0.953072i	$-0.402097\pi$
$421$	−0.257110	−	0.0835399i	−0.0125308	−	0.00407149i	−0.315276	+	0.949000i	$0.602097\pi$
$422$	−5.22785	−	25.6625i	−0.254488	−	1.24923i
$423$	−3.95938	−	14.9506i	−0.192511	−	0.726924i
$424$	−23.9389	−	0.608691i	−1.16258	−	0.0295607i
$425$	19.6302	+	29.4179i	0.952203	+	1.42698i
$426$	−11.8350	+	4.05919i	−0.573407	+	0.196668i
$427$	2.91032	+	4.00571i	0.140840	+	0.193850i
$428$	−1.92036	−	2.20687i	−0.0928243	−	0.106673i
$429$	7.44536	+	4.05655i	0.359466	+	0.195852i
$430$	−3.54738	+	11.8781i	−0.171070	+	0.572814i
$431$	−3.90922	−	12.0313i	−0.188300	−	0.579529i	0.811689	−	0.584089i	$-0.198548\pi$
$431$	−3.90922	−	12.0313i	−0.188300	−	0.579529i	−0.999990	+	0.00456076i	$0.998548\pi$
$432$	−1.33851	+	20.7415i	−0.0643989	+	0.997924i
$433$	18.1781	−	5.90641i	0.873581	−	0.283844i	0.162292	−	0.986743i	$-0.448111\pi$
$433$	18.1781	−	5.90641i	0.873581	−	0.283844i	0.711290	+	0.702899i	$0.248111\pi$
$434$	0.805916	−	7.08937i	0.0386852	−	0.340301i
$435$	1.59775	−	1.99246i	0.0766063	−	0.0955311i
$436$	−19.6138	+	1.72598i	−0.939330	+	0.0826594i
$437$	1.64983	−	2.27080i	0.0789223	−	0.108627i
$438$	8.63083	−	28.1091i	0.412397	−	1.34311i
$439$	−11.9991	−	16.5153i	−0.572685	−	0.788233i	0.420185	−	0.907439i	$-0.361965\pi$
$439$	−11.9991	−	16.5153i	−0.572685	−	0.788233i	−0.992870	+	0.119205i	$0.961965\pi$
$440$	2.84922	−	5.01570i	0.135831	−	0.239114i
$441$	7.84224	+	12.1533i	0.373440	+	0.578730i
$442$	39.5915	+	36.2605i	1.88318	+	1.72474i
$443$	−22.3281			−1.06084			−0.530419	−	0.847735i	$-0.677966\pi$
$443$	−22.3281			−1.06084			−0.530419	+	0.847735i	$0.677966\pi$
$444$	−18.3302	−	7.99091i	−0.869912	−	0.379232i
$445$	−13.2582	+	12.7396i	−0.628497	+	0.603916i
$446$	−2.50773	−	12.3100i	−0.118745	−	0.582894i
$447$	12.7982	−	23.4896i	0.605332	−	1.11102i
$448$	−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	$-0.116783\pi$
$450$	19.3698	−	8.64925i	0.913103	−	0.407730i
$451$	−5.61820			−0.264551
$452$	0.570861	+	6.48718i	0.0268510	+	0.305131i
$453$	31.7169	+	17.2807i	1.49019	+	0.811920i
$454$	3.79056	+	18.6071i	0.177900	+	0.873274i
$455$	−8.35526	+	15.6200i	−0.391701	+	0.732277i
$456$	3.70954	−	0.387272i	0.173715	−	0.0181357i
$457$		−	19.5507i		−	0.914543i	−0.889327	−	0.457272i	$-0.848827\pi$
$457$		−	19.5507i		−	0.914543i	0.889327	−	0.457272i	$-0.151173\pi$
$458$	4.72299	−	5.15685i	0.220691	−	0.240964i
$459$	−13.9165	−	34.0169i	−0.649565	−	1.58777i
$460$	−16.4224	−	1.46961i	−0.765698	−	0.0685212i
$461$	−1.21194	+	0.880524i	−0.0564456	+	0.0410101i	−0.615650	−	0.788020i	$-0.711107\pi$
$461$	−1.21194	+	0.880524i	−0.0564456	+	0.0410101i	0.559205	+	0.829030i	$0.311107\pi$
$462$	0.967937	−	3.15241i	0.0450325	−	0.146663i
$463$	1.78562	+	1.29733i	0.0829849	+	0.0602920i	0.628504	−	0.777806i	$-0.283668\pi$
$463$	1.78562	+	1.29733i	0.0829849	+	0.0602920i	−0.545519	+	0.838098i	$0.683668\pi$
$464$	−2.37193	−	1.15390i	−0.110114	−	0.0535685i
$465$	13.2232	+	0.629626i	0.613211	+	0.0291982i
$466$	5.38506	+	0.612170i	0.249458	+	0.0283582i
$467$	9.51741	+	29.2916i	0.440413	+	1.35545i	0.887437	+	0.460930i	$0.152484\pi$
$467$	9.51741	+	29.2916i	0.440413	+	1.35545i	−0.447024	+	0.894522i	$0.647516\pi$
$468$	25.4236	−	19.7648i	1.17521	−	0.913626i
$469$	−6.66465	+	2.16548i	−0.307745	+	0.0999924i
$470$	13.4147	+	9.26393i	0.618775	+	0.427313i
$471$	11.6864	−	21.4490i	0.538479	−	0.988320i
$472$	14.0584	−	39.7957i	0.647092	−	1.83175i
$473$	−2.89260	+	2.10160i	−0.133002	+	0.0966316i
$474$	3.51280	+	10.2419i	0.161348	+	0.470428i
$475$	−2.11289	−	3.16638i	−0.0969458	−	0.145284i
$476$	10.7453	−	17.9037i	0.492510	−	0.820614i
$477$	−6.50234	−	24.5529i	−0.297722	−	1.12420i
$478$	−7.31301	−	35.8981i	−0.334489	−	1.64194i
$479$	11.5108	−	35.4267i	0.525943	−	1.61869i	−0.236500	−	0.971631i	$-0.576000\pi$
$479$	11.5108	−	35.4267i	0.525943	−	1.61869i	0.762443	−	0.647055i	$-0.224000\pi$
$480$	−13.1381	−	17.5325i	−0.599671	−	0.800247i
$481$	9.57370	+	29.4648i	0.436523	+	1.34348i
$482$	−10.5818	+	5.99041i	−0.481986	+	0.272856i
$483$	−9.34683	+	1.21669i	−0.425295	+	0.0553613i
$484$	−18.7156	+	7.95546i	−0.850708	+	0.361612i
$485$	4.29737	−	24.0217i	0.195134	−	1.09077i
$486$	−21.5147	+	4.80806i	−0.975927	+	0.218098i
$487$	16.5892	+	12.0528i	0.751731	+	0.546164i	0.896363	−	0.443321i	$-0.146200\pi$
$487$	16.5892	+	12.0528i	0.751731	+	0.546164i	−0.144632	+	0.989485i	$0.546200\pi$
$488$	7.53159	+	5.77012i	0.340939	+	0.261201i
$489$	−14.2921	−	30.0766i	−0.646309	−	1.36011i
$490$	−14.6087	−	4.36287i	−0.659955	−	0.197094i
$491$	15.3062	−	21.0671i	0.690757	−	0.950746i	−0.309243	−	0.950983i	$-0.600076\pi$
$491$	15.3062	−	21.0671i	0.690757	−	0.950746i	1.00000		0.000237229i	$7.55123e-5\pi$
$492$	−8.52715	+	19.5602i	−0.384434	+	0.881844i
$493$	4.66428			0.210069
$494$	−4.26141	−	3.90289i	−0.191730	−	0.175599i
$495$	5.95406	+	1.40853i	0.267615	+	0.0633085i
$496$	−2.38779	−	13.4622i	−0.107215	−	0.604471i
$497$	2.32983	−	7.17047i	0.104507	−	0.321639i
$498$	14.8738	−	21.1877i	0.666513	−	0.949446i
$499$	−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	$-0.449613\pi$
$503$	−6.62224	−	2.15170i	−0.295271	−	0.0959394i	−0.452907	+	0.891558i	$0.649613\pi$
$504$	−9.50627	−	8.15459i	−0.423443	−	0.363234i
$505$	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	$-0.457813\pi$
$509$	−17.3660	−	12.6171i	−0.769734	−	0.559244i	−0.901880	+	0.431986i	$0.857813\pi$
$510$	34.4538	+	17.7157i	1.52564	+	0.784463i
$511$	10.4149	+	14.3348i	0.460726	+	0.634135i
$512$	−14.6561	+	17.2394i	−0.647716	+	0.761882i
$513$	1.49789	+	3.66139i	0.0661336	+	0.161654i
$514$	5.16403	−	11.3390i	0.227775	−	0.500143i
$515$	−29.2777	−	5.23765i	−1.29013	−	0.230798i
$516$	2.92658	+	13.2606i	0.128836	+	0.583765i
$517$	1.45302	+	4.47193i	0.0639037	+	0.196675i
$518$	10.4859	−	5.93615i	0.460725	−	0.260819i
$519$	0.497209	−	0.0647224i	0.0218250	−	0.00284100i
$520$	−6.82502	+	33.2513i	−0.299297	+	1.45816i
$521$	−9.29592	−	3.02043i	−0.407262	−	0.132327i	0.0982199	−	0.995165i	$-0.468685\pi$
$521$	−9.29592	−	3.02043i	−0.407262	−	0.132327i	−0.505482	+	0.862837i	$0.668685\pi$
$522$	0.469094	−	2.75811i	0.0205317	−	0.120719i
$523$	−14.7699	−	20.3290i	−0.645842	−	0.888926i	0.353068	−	0.935598i	$-0.385138\pi$
$523$	−14.7699	−	20.3290i	−0.645842	−	0.888926i	−0.998910	+	0.0466719i	$0.985138\pi$
$524$	4.03885	+	2.42401i	0.176438	+	0.105893i
$525$	−2.84699	+	12.4618i	−0.124253	+	0.543879i
$526$	8.50916	+	15.0310i	0.371017	+	0.655384i
$527$	14.2108	+	19.5594i	0.619030	+	0.852022i
$528$	0.0579534	−	6.31879i	0.00252210	−	0.274990i
$529$	2.90700	−	8.94684i	0.126391	−	0.388993i
$530$	22.0305	+	15.2138i	0.956944	+	0.660846i
$531$	44.6978	+	2.47306i	1.93972	+	0.107322i
$532$	−1.15657	+	1.92706i	−0.0501435	+	0.0835485i
$533$	31.4421	−	10.2162i	1.36191	−	0.442511i
$534$	−5.91207	+	19.2546i	−0.255840	+	0.833228i
$535$	0.447130	+	3.24001i	0.0193311	+	0.140078i
$536$	−11.0607	+	7.61420i	−0.477751	+	0.328883i
$537$	−27.1309	+	25.6713i	−1.17078	+	1.10780i
$538$	39.7561	+	4.51945i	1.71401	+	0.194847i
$539$	−2.58472	−	3.55757i	−0.111332	−	0.153235i
$540$	13.9408	−	18.5918i	0.599917	−	0.800062i
$541$	−2.34729	+	3.23076i	−0.100918	+	0.138901i	−0.856489	−	0.516165i	$-0.827359\pi$
$541$	−2.34729	+	3.23076i	−0.100918	+	0.138901i	0.755572	+	0.655066i	$0.227359\pi$
$542$	−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
$546$	0.315318	+	19.4024i	0.0134944	+	0.830348i
$547$	−1.21106	−	0.393497i	−0.0517811	−	0.0168247i	0.283012	−	0.959116i	$-0.408666\pi$
$547$	−1.21106	−	0.393497i	−0.0517811	−	0.0168247i	−0.334793	+	0.942292i	$0.608666\pi$
$548$	−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
$552$	−16.5053	+	7.33485i	−0.702513	+	0.312192i
$553$	−6.20529	−	2.01622i	−0.263876	−	0.0857384i
$554$	3.54244	+	17.3892i	0.150504	+	0.738795i
$555$	12.2657	+	18.6913i	0.520650	+	0.793402i
$556$	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	$-0.116041\pi$
$558$	12.9952	−	6.43608i	0.550132	−	0.272461i
$559$	12.3668	−	17.0214i	0.523060	−	0.719930i
$560$	13.2021	+	0.0195200i	0.557891	+	0.000824872i
$561$	4.79584	+	10.0925i	0.202480	+	0.426105i
$562$	−2.61350	+	22.9900i	−0.110244	+	0.969776i
$563$	12.4265	+	9.02837i	0.523714	+	0.380500i	0.818001	−	0.575217i	$-0.195082\pi$
$563$	12.4265	+	9.02837i	0.523714	+	0.380500i	−0.294287	+	0.955717i	$0.595082\pi$
$564$	17.7748	+	1.72857i	0.748453	+	0.0727858i
$565$	3.43418	−	6.42014i	0.144477	−	0.270097i
$566$	−1.43178	+	12.5948i	−0.0601820	+	0.529401i
$567$	5.47384	−	12.1042i	0.229880	−	0.508329i
$568$	0.367231	−	14.4427i	0.0154087	−	0.606000i
$569$	1.31798	−	0.428239i	0.0552528	−	0.0179527i	−0.281260	−	0.959632i	$-0.590752\pi$
$569$	1.31798	−	0.428239i	0.0552528	−	0.0179527i	0.336513	+	0.941679i	$0.390752\pi$
$570$	−3.70842	−	1.90682i	−0.155328	−	0.0798678i
$571$	−3.52223	+	10.8403i	−0.147401	+	0.453653i	−0.997312	−	0.0732733i	$-0.976655\pi$
$571$	−3.52223	+	10.8403i	−0.147401	+	0.453653i	0.849911	+	0.526926i	$0.176655\pi$
$572$	−7.38567	+	6.42682i	−0.308810	+	0.268719i
$573$	41.1143	−	19.5371i	1.71758	−	0.816174i
$574$	−6.33450	−	11.1896i	−0.264397	−	0.467044i
$575$	14.4696	+	11.4214i	0.603425	+	0.476306i
$576$	−21.9115	−	9.79226i	−0.912977	−	0.408011i
$577$	10.3388	+	14.2301i	0.430410	+	0.592408i	0.968047	−	0.250768i	$-0.0806831\pi$
$577$	10.3388	+	14.2301i	0.430410	+	0.592408i	−0.537637	+	0.843176i	$0.680683\pi$
$578$	9.32441	+	45.7717i	0.387844	+	1.90385i
$579$	−10.4512	−	5.69425i	−0.434337	−	0.236645i
$580$	1.51386	+	2.53084i	0.0628595	+	0.105088i
$581$	4.82050	+	14.8360i	0.199988	+	0.615500i
$582$	−8.67274	−	25.2863i	−0.359496	−	1.04815i
$583$	2.38624	+	7.34409i	0.0988279	+	0.304161i
$584$	26.9526	+	20.6490i	1.11530	+	0.854460i
$585$	−35.8830	+	2.94411i	−1.48358	+	0.121724i
$586$	26.6301	+	12.1279i	1.10008	+	0.500999i
$587$	1.79724	+	1.30577i	0.0741798	+	0.0538948i	0.624257	−	0.781219i	$-0.285402\pi$
$587$	1.79724	+	1.30577i	0.0741798	+	0.0538948i	−0.550077	+	0.835114i	$0.685402\pi$
$588$	−16.3090	+	3.59936i	−0.672572	+	0.148435i
$589$	−1.52957	−	2.10527i	−0.0630248	−	0.0867462i
$590$	−37.5006	+	28.6422i	−1.54388	+	1.17918i
$591$	19.8550	−	18.7868i	0.816725	−	0.772786i
$592$	16.0226	−	16.6255i	0.658526	−	0.683306i
$593$	3.06865			0.126014			0.0630072	−	0.998013i	$-0.479931\pi$
$593$	3.06865			0.126014			0.0630072	+	0.998013i	$0.479931\pi$
$594$	6.45028	−	1.82089i	0.264658	−	0.0747121i
$595$	−21.0081	+	10.1816i	−0.861247	+	0.417407i
$596$	20.2762	+	23.3013i	0.830546	+	0.954458i
$597$	−11.6037	−	6.32217i	−0.474906	−	0.258749i
$598$	25.4672	+	11.5983i	1.04143	+	0.474289i
$599$	21.5336			0.879841			0.439920	−	0.898037i	$-0.355007\pi$
$599$	21.5336			0.879841			0.439920	+	0.898037i	$0.355007\pi$
$600$	1.56992	+	24.4445i	0.0640917	+	0.997944i
$601$	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
$603$	−11.0425	−	8.99544i	−0.449687	−	0.366323i
$604$	−31.4626	+	27.3780i	−1.28020	+	1.11399i
$605$	22.3813	+	4.00391i	0.909928	+	0.162782i
$606$	22.0649	+	29.3545i	0.896324	+	1.19244i
$607$	−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
$609$	1.15870	+	1.22459i	0.0469531	+	0.0496227i
$610$	−3.51856	−	10.0072i	−0.142462	−	0.405179i
$611$	−16.2635	−	22.3848i	−0.657952	−	0.905594i
$612$	42.4168	−	1.37903i	1.71460	−	0.0557442i
$613$	−4.35028	−	3.16066i	−0.175706	−	0.127658i	0.496456	−	0.868062i	$-0.334634\pi$
$613$	−4.35028	−	3.16066i	−0.175706	−	0.127658i	−0.672162	+	0.740404i	$0.734634\pi$
$614$	−31.2377	−	14.2263i	−1.26065	−	0.574127i
$615$	19.9456	−	13.0888i	0.804285	−	0.527792i
$616$	3.02270	+	2.31576i	0.121788	+	0.0933045i
$617$	2.71674	+	8.36126i	0.109372	+	0.336612i	0.990732	−	0.135834i	$-0.0433713\pi$
$617$	2.71674	+	8.36126i	0.109372	+	0.336612i	−0.881360	+	0.472446i	$0.843371\pi$
$618$	−30.8190	+	10.5704i	−1.23972	+	0.425202i
$619$	−3.36841	−	10.3669i	−0.135388	−	0.416681i	0.860262	−	0.509852i	$-0.170300\pi$
$619$	−3.36841	−	10.3669i	−0.135388	−	0.416681i	−0.995650	+	0.0931706i	$0.970300\pi$
$620$	−6.00067	+	14.0591i	−0.240993	+	0.564626i
$621$	−12.3779	−	14.6216i	−0.496710	−	0.586743i
$622$	−2.26862	−	11.1362i	−0.0909635	−	0.446522i
$623$	−7.13412	−	9.81927i	−0.285822	−	0.393401i
$624$	11.1658	+	35.4683i	0.446989	+	1.41987i
$625$	21.3321	−	13.0362i	0.853284	−	0.521447i
$626$	−0.226149	−	0.399481i	−0.00903873	−	0.0159665i
$627$	−0.516198	−	1.08630i	−0.0206150	−	0.0433826i
$628$	18.5148	+	21.2771i	0.738820	+	0.849047i
$629$	−12.6170	+	38.8312i	−0.503073	+	1.54830i
$630$	3.90787	+	13.4466i	0.155693	+	0.535726i
$631$	29.7261	−	9.65860i	1.18338	−	0.384503i	0.349758	−	0.936840i	$-0.386264\pi$
$631$	29.7261	−	9.65860i	1.18338	−	0.384503i	0.833621	+	0.552337i	$0.186264\pi$
$632$	−12.4986	−	0.317800i	−0.497168	−	0.0126414i
$633$	4.14039	+	31.8072i	0.164566	+	1.26422i
$634$	2.36366	−	20.7924i	0.0938731	−	0.825770i
$635$	9.81161	+	10.2110i	0.389362	+	0.405211i
$636$	29.1909	+	2.83876i	1.15749	+	0.112564i
$637$	20.9344	+	15.2097i	0.829452	+	0.602632i
$638$	−0.0960746	+	0.845136i	−0.00380363	+	0.0334592i
$639$	14.8130	−	3.92294i	0.585995	−	0.155189i
$640$	24.2616	−	7.16762i	0.959024	−	0.283325i
$641$	10.0360	−	13.8134i	0.396400	−	0.545598i	−0.563436	−	0.826160i	$-0.690521\pi$
$641$	10.0360	−	13.8134i	0.396400	−	0.545598i	0.959836	+	0.280562i	$0.0905208\pi$
$642$	2.15279	+	2.86402i	0.0849640	+	0.113034i
$643$		−	18.1038i		−	0.713945i	−0.934115	−	0.356973i	$-0.883809\pi$
$643$		−	18.1038i		−	0.713945i	0.934115	−	0.356973i	$-0.116191\pi$
$644$	2.44297	−	10.6061i	0.0962665	−	0.417940i
$645$	5.37312	−	14.2000i	0.211566	−	0.559124i
$646$	−1.52018	−	7.46225i	−0.0598105	−	0.293598i
$647$	4.02142	+	1.30664i	0.158098	+	0.0513693i	0.386997	−	0.922081i	$-0.373512\pi$
$647$	4.02142	+	1.30664i	0.158098	+	0.0513693i	−0.228899	+	0.973450i	$0.573512\pi$
$648$	3.45047	−	25.2209i	0.135547	−	0.990771i
$649$	−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	$-0.419185\pi$
$653$	−2.92781	−	0.951303i	−0.114574	−	0.0372274i	−0.365743	+	0.930716i	$0.619185\pi$
$654$	24.1115	−	0.391847i	0.942835	−	0.0153224i
$655$	−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	$-0.843243\pi$
$659$	−4.08719	+	5.62553i	−0.159214	+	0.219140i	0.721956	+	0.691939i	$0.243243\pi$
$660$	−3.91963	+	5.87788i	−0.152572	+	0.228796i
$661$	4.95272	+	6.81684i	0.192639	+	0.265144i	0.894400	−	0.447268i	$-0.147603\pi$
$661$	4.95272	+	6.81684i	0.192639	+	0.265144i	−0.701762	+	0.712412i	$0.747603\pi$
$662$	−46.0500	−	5.23494i	−1.78979	−	0.203462i
$663$	−45.1919	−	47.7615i	−1.75511	−	1.85490i
$664$	16.9497	+	24.6220i	0.657777	+	0.955518i
$665$	2.26119	−	1.09590i	0.0876853	−	0.0424971i
$666$	21.6930	+	11.3661i	0.840587	+	0.440427i
$667$	2.31221	−	0.751284i	0.0895293	−	0.0290898i
$668$	2.81656	+	1.69042i	0.108976	+	0.0654044i
$669$	1.98609	+	15.2575i	0.0767867	+	0.589889i
$670$	15.0089	−	0.359423i	0.579843	−	0.0138857i
$671$	0.945445	−	2.90978i	0.0364985	−	0.112331i
$672$	12.6503	−	7.00899i	0.487995	−	0.270378i
$673$	11.8527	+	16.3139i	0.456888	+	0.628853i	0.973860	−	0.227150i	$-0.0729407\pi$
$673$	11.8527	+	16.3139i	0.456888	+	0.628853i	−0.516971	+	0.856003i	$0.672941\pi$
$674$	−22.5428	−	39.8208i	−0.868317	−	1.53384i
$675$	−24.4195	+	8.87076i	−0.939905	+	0.341436i
$676$	16.2674	−	27.1045i	0.625668	−	1.04248i
$677$	7.30570	+	10.0554i	0.280781	+	0.386462i	0.925992	−	0.377542i	$-0.123231\pi$
$677$	7.30570	+	10.0554i	0.280781	+	0.386462i	−0.645211	+	0.764004i	$0.723231\pi$
$678$	−0.129602	−	7.97479i	−0.00497733	−	0.306270i
$679$	15.3202	+	4.97783i	0.587935	+	0.191032i
$680$	−33.0343	+	30.1653i	−1.26681	+	1.15679i
$681$	−3.00207	−	23.0624i	−0.115040	−	0.883754i
$682$	−3.83675	+	2.17201i	−0.146917	+	0.0831705i
$683$	−12.8755	−	39.6268i	−0.492668	−	1.51628i	−0.820559	−	0.571561i	$-0.806338\pi$
$683$	−12.8755	−	39.6268i	−0.492668	−	1.51628i	0.327891	−	0.944716i	$-0.393662\pi$
$684$	−4.56552	+	0.148432i	−0.174567	+	0.00567543i
$685$	−10.4507	+	19.5373i	−0.399300	+	0.746483i
$686$	10.2274	−	22.4570i	0.390484	−	0.857413i
$687$	−6.22100	+	5.88632i	−0.237346	+	0.224577i
$688$	−15.5301	−	2.16660i	−0.592079	−	0.0826007i
$689$	−26.7090	−	36.7618i	−1.01753	−	1.40051i
$690$	19.9332	+	3.23262i	0.758844	+	0.123064i
$691$	−18.1538	−	13.1895i	−0.690604	−	0.501753i	0.186255	−	0.982502i	$-0.440365\pi$
$691$	−18.1538	−	13.1895i	−0.690604	−	0.501753i	−0.876859	+	0.480748i	$0.840365\pi$
$692$	−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
$696$	2.79659	+	1.61722i	0.106005	+	0.0613004i
$697$	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	$-0.367600\pi$
$701$	21.3959			0.808113			0.404056	+	0.914734i	$0.367600\pi$
$702$	−32.7877	+	21.9198i	−1.23749	+	0.827309i
$703$	1.35803	−	4.17958i	0.0512190	−	0.157636i
$704$	6.81594	+	2.60454i	0.256885	+	0.0981621i
$705$	−15.5768	−	12.4910i	−0.586656	−	0.470439i
$706$	−29.4628	−	26.9840i	−1.10885	−	1.01555i
$707$	−22.1287			−0.832235
$708$	−20.6570	+	47.3846i	−0.776337	+	1.78082i
$709$	−5.06692	+	6.97402i	−0.190292	+	0.261915i	−0.893494	−	0.449076i	$-0.851753\pi$
$709$	−5.06692	+	6.97402i	−0.190292	+	0.261915i	0.703201	+	0.710991i	$0.251753\pi$
$710$	−9.17869	+	13.2913i	−0.344470	+	0.498813i
$711$	−3.39490	−	12.8191i	−0.127319	−	0.480755i
$712$	−18.4623	−	14.1444i	−0.691906	−	0.530084i
$713$	10.1951	+	7.40721i	0.381811	+	0.277402i
$714$	−14.6936	+	20.9309i	−0.549893	+	0.783321i
$715$	10.8432	−	1.49640i	0.405514	−	0.0559620i
$716$	−16.8720	−	39.6921i	−0.630537	−	1.48337i
$717$	5.79181	+	44.4937i	0.216299	+	1.66165i
$718$	−21.8919	+	12.3931i	−0.816998	+	0.462508i
$719$	8.93830	+	27.5092i	0.333342	+	1.02592i	0.967533	+	0.252745i	$0.0813334\pi$
$719$	8.93830	+	27.5092i	0.333342	+	1.02592i	−0.634191	+	0.773177i	$0.718667\pi$
$720$	14.5152	+	22.5678i	0.540951	+	0.841054i
$721$	6.06700	−	18.6723i	0.225947	−	0.695393i
$722$	−5.20006	−	25.5261i	−0.193526	−	0.949982i
$723$	13.4511	−	6.39183i	0.500253	−	0.237715i
$724$	−31.2987	−	18.7846i	−1.16321	−	0.698124i
$725$	0.131477	−	3.29452i	0.00488293	−	0.122356i
$726$	23.5595	−	8.08048i	0.874374	−	0.299895i
$727$	4.22018	−	3.06614i	0.156518	−	0.113717i	−0.506770	−	0.862081i	$-0.669161\pi$
$727$	4.22018	−	3.06614i	0.156518	−	0.113717i	0.663288	+	0.748365i	$0.269161\pi$
$728$	−21.1274	−	7.46358i	−0.783034	−	0.276618i
$729$	26.7035	−	3.99058i	0.989017	−	0.147799i
$730$	−12.5915	−	35.8117i	−0.466032	−	1.32545i
$731$	26.3707	−	8.56837i	0.975356	−	0.316913i
$732$	−8.69569	−	7.70804i	−0.321402	−	0.284897i
$733$	0.506486	+	1.55880i	0.0187075	+	0.0575757i	0.959974	−	0.280088i	$-0.0903635\pi$
$733$	0.506486	+	1.55880i	0.0187075	+	0.0575757i	−0.941267	+	0.337663i	$0.890363\pi$
$734$	7.83384	+	0.890546i	0.289152	+	0.0328707i
$735$	17.4644	+	6.60832i	0.644183	+	0.243752i
$736$	−1.29954	−	20.8154i	−0.0479016	−	0.767264i
$737$	3.50317	+	2.54520i	0.129041	+	0.0937537i
$738$	12.1288	−	23.1488i	0.446468	−	0.852117i
$739$	19.9244	−	14.4759i	0.732932	−	0.532506i	−0.157558	−	0.987510i	$-0.550362\pi$
$739$	19.9244	−	14.4759i	0.732932	−	0.532506i	0.890490	+	0.455004i	$0.150362\pi$
$740$	−25.1649	+	5.75720i	−0.925080	+	0.211639i
$741$	4.86422	+	5.14078i	0.178691	+	0.188851i
$742$	−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	$-0.242830\pi$
$744$	1.73872	+	16.6546i	0.0637447	+	0.610587i
$745$	−4.72103	−	34.2097i	−0.172965	−	1.25335i
$746$	8.39759	+	41.2221i	0.307458	+	1.50925i
$747$	−20.0245	+	24.5815i	−0.732658	+	0.899388i
$748$	−12.8529	+	1.13104i	−0.469950	+	0.0413548i
$749$	−2.15902			−0.0788889
$750$	13.4843	−	23.8364i	0.492377	−	0.870382i
$751$			47.7592i			1.74276i	0.490610	+	0.871379i	$0.336774\pi$
$751$			47.7592i			1.74276i	−0.490610	+	0.871379i	$0.663226\pi$
$752$	−9.02106	+	18.5435i	−0.328964	+	0.676211i
$753$	−17.7125	−	9.65050i	−0.645478	−	0.351684i
$754$	−0.999119	−	4.90448i	−0.0363858	−	0.178611i
$755$	46.1917	−	6.37458i	1.68109	−	0.231995i
$756$	10.8993	+	10.7938i	0.396403	+	0.392565i
$757$	−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
$759$	4.00304	+	4.23065i	0.145301	+	0.153563i
$760$	3.55563	−	3.24683i	0.128976	−	0.117775i
$761$	−4.01908	−	5.53178i	−0.145691	−	0.200527i	0.729934	−	0.683517i	$-0.239551\pi$
$761$	−4.01908	−	5.53178i	−0.145691	−	0.200527i	−0.875626	+	0.482990i	$0.839551\pi$
$762$	14.8292	+	4.55327i	0.537206	+	0.164948i
$763$	−8.54130	+	11.7561i	−0.309216	+	0.425599i
$764$	4.60758	+	52.3599i	0.166696	+	1.89431i
$765$	−40.5387	−	24.6571i	−1.46568	−	0.891481i
$766$	−5.70644	+	50.1976i	−0.206182	+	1.81371i
$767$	76.1682	−	24.7486i	2.75028	−	0.893619i
$768$	19.4130	−	19.7772i	0.700505	−	0.713648i
$769$	−2.75031	−	8.46457i	−0.0991785	−	0.305240i	0.889142	−	0.457632i	$-0.151302\pi$
$769$	−2.75031	−	8.46457i	−0.0991785	−	0.305240i	−0.988320	+	0.152392i	$0.951302\pi$
$770$	−1.41212	−	4.01624i	−0.0508893	−	0.144735i
$771$	−7.30086	+	13.3999i	−0.262934	+	0.482587i
$772$	10.3674	−	9.02144i	0.373131	−	0.324689i
$773$	−12.2753	−	16.8954i	−0.441510	−	0.607687i	0.529037	−	0.848599i	$-0.322553\pi$
$773$	−12.2753	−	16.8954i	−0.441510	−	0.607687i	−0.970547	+	0.240912i	$0.922553\pi$
$774$	−2.41456	−	16.4555i	−0.0867897	−	0.591479i
$775$	14.2160	−	9.48615i	0.510654	−	0.340753i
$776$	30.8577	+	0.784614i	1.10773	+	0.0281660i
$777$	−13.3293	+	6.33393i	−0.478185	+	0.227229i
$778$	−3.52976	−	17.3269i	−0.126548	−	0.621200i
$779$	−4.46005	−	1.44916i	−0.159798	−	0.0519215i
$780$	11.2478	−	40.0229i	0.402734	−	1.43305i
$781$	−4.43078	+	1.43965i	−0.158546	+	0.0515146i
$782$	18.1684	+	32.0937i	0.649702	+	1.14767i
$783$	−0.814446	+	3.32829i	−0.0291059	+	0.118944i
$784$	2.66466	−	19.1002i	0.0951665	−	0.682151i
$785$	−4.31090	−	31.2379i	−0.153863	−	1.11493i
$786$	−4.72176	−	3.31469i	−0.168420	−	0.118231i
$787$	−20.9524	+	28.8386i	−0.746874	+	1.02798i	0.251320	+	0.967904i	$0.419135\pi$
$787$	−20.9524	+	28.8386i	−0.746874	+	1.02798i	−0.998194	+	0.0600794i	$0.980865\pi$
$788$	12.3473	+	29.0476i	0.439855	+	1.03478i
$789$	−9.07937	−	19.1068i	−0.323234	−	0.680222i
$790$	11.5022	+	7.94319i	0.409230	+	0.282606i
$791$	3.88828	+	2.82500i	0.138251	+	0.100445i
$792$	−0.623828	+	7.71405i	−0.0221668	+	0.274107i
$793$			18.0037i			0.639330i
$794$	−19.0972	−	17.4905i	−0.677736	−	0.620715i
$795$	−25.5812	−	20.5136i	−0.907273	−	0.727541i
$796$	11.5106	−	10.0163i	0.407983	−	0.355017i
$797$	−49.5085	−	16.0863i	−1.75368	−	0.569805i	−0.757166	−	0.653222i	$-0.773417\pi$
$797$	−49.5085	−	16.0863i	−1.75368	−	0.569805i	−0.996515	+	0.0834170i	$0.973417\pi$
$798$	1.58154	−	2.25289i	0.0559858	−	0.0797516i
$799$		−	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
$804$	14.1784	−	8.33355i	0.500032	−	0.293902i
$805$	−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	−0.185723	+	0.982602i	$0.559463\pi$
$809$	−30.2303	+	41.6085i	−1.06284	+	1.46288i	−0.877118	+	0.480274i	$0.840537\pi$
$810$	−18.6575	+	21.4918i	−0.655557	+	0.755146i
$811$	11.2859	−	8.19967i	0.396301	−	0.287929i	−0.371732	−	0.928340i	$-0.621236\pi$
$811$	11.2859	−	8.19967i	0.396301	−	0.287929i	0.768033	+	0.640411i	$0.221236\pi$
$812$	−1.79155	+	0.761539i	−0.0628712	+	0.0267248i
$813$	29.7818	−	28.1796i	1.04449	−	0.988302i
$814$	−6.77606	−	3.08596i	−0.237501	−	0.108163i
$815$	−37.9072	−	20.2768i	−1.32783	−	0.710267i
$816$	−15.5701	+	46.4653i	−0.545061	+	1.62661i
$817$	−2.83840	+	0.922253i	−0.0993031	+	0.0322655i
$818$	−2.15865	+	1.22203i	−0.0754755	+	0.0427272i
$819$	1.31294	−	23.7299i	0.0458778	−	0.829189i
$820$	6.14354	+	26.8536i	0.214542	+	0.937769i
$821$	−9.42779	+	29.0157i	−0.329032	+	1.01266i	0.640556	+	0.767912i	$0.278704\pi$
$821$	−9.42779	+	29.0157i	−0.329032	+	1.01266i	−0.969588	+	0.244745i	$0.921296\pi$
$822$	0.394396	+	24.2684i	0.0137561	+	0.846456i
$823$	5.52630	−	4.01510i	0.192635	−	0.139957i	−0.487287	−	0.873242i	$-0.662014\pi$
$823$	5.52630	−	4.01510i	0.192635	−	0.139957i	0.679922	+	0.733284i	$0.262014\pi$
$824$	0.956290	−	37.6095i	0.0333139	−	1.31019i
$825$	7.26381	−	3.10296i	0.252893	−	0.108031i
$826$	−15.3453	−	27.1067i	−0.533931	−	0.943163i
$827$	16.5192	−	12.0019i	0.574428	−	0.417347i	−0.262283	−	0.964991i	$-0.584475\pi$
$827$	16.5192	−	12.0019i	0.574428	−	0.417347i	0.836711	+	0.547644i	$0.184475\pi$
$828$	20.8051	−	7.51578i	0.723027	−	0.261191i
$829$	17.2166	+	5.59402i	0.597958	+	0.194288i	0.592330	−	0.805696i	$-0.298208\pi$
$829$	17.2166	+	5.59402i	0.597958	+	0.194288i	0.00562861	+	0.999984i	$0.498208\pi$
$830$	−0.800101	−	33.4108i	−0.0277719	−	1.15970i
$831$	−2.80557	−	21.5529i	−0.0973241	−	0.747661i
$832$	−42.8813	−	2.18208i	−1.48664	−	0.0756501i
$833$	10.5381	+	32.4330i	0.365124	+	1.12374i
$834$	−30.3065	−	9.30552i	−1.04943	−	0.322224i
$835$	−1.60175	−	3.30493i	−0.0554308	−	0.114372i
$836$	1.38342	−	0.121739i	0.0478466	−	0.00421042i
$837$	−16.4384	+	6.72504i	−0.568195	+	0.232452i
$838$	−2.33142	+	20.5087i	−0.0805377	+	0.708463i
$839$	13.1432	−	9.54908i	0.453753	−	0.329671i	−0.337323	−	0.941389i	$-0.609521\pi$
$839$	13.1432	−	9.54908i	0.453753	−	0.329671i	0.791076	+	0.611718i	$0.209521\pi$
$840$	−16.1262	−	1.17932i	−0.556406	−	0.0406903i
$841$	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
$846$	−21.5626	−	3.66732i	−0.741338	−	0.126085i
$847$	−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
$852$	−1.71266	+	17.6112i	−0.0586748	+	0.603350i
$853$	−0.847127	+	2.60719i	−0.0290051	+	0.0892684i	−0.964511	−	0.264042i	$-0.914944\pi$
$853$	−0.847127	+	2.60719i	−0.0290051	+	0.0892684i	0.935506	+	0.353311i	$0.114944\pi$
$854$	6.86131	−	1.39776i	0.234789	−	0.0478302i
$855$	4.36336	+	2.65396i	0.149224	+	0.0907636i
$856$	−3.96591	+	1.17803i	−0.135552	+	0.0402642i
$857$	−1.70583			−0.0582699			−0.0291349	−	0.999575i	$-0.509275\pi$
$857$	−1.70583			−0.0582699			−0.0291349	+	0.999575i	$0.509275\pi$
$858$	9.58492	−	7.20469i	0.327224	−	0.245964i
$859$	38.1711	+	27.7330i	1.30238	+	0.946236i	0.999976	−	0.00694302i	$-0.00221005\pi$
$859$	38.1711	+	27.7330i	1.30238	+	0.946236i	0.302406	+	0.953179i	$0.402210\pi$
$860$	13.2082	+	11.5278i	0.450396	+	0.393095i
$861$	6.75898	+	14.2238i	0.230345	+	0.484744i
$862$	−17.7760	−	2.02077i	−0.605453	−	0.0688276i
$863$	−33.9426	+	46.7179i	−1.15542	+	1.59030i	−0.428553	+	0.903517i	$0.640976\pi$
$863$	−33.9426	+	46.7179i	−1.15542	+	1.59030i	−0.726865	+	0.686780i	$0.759024\pi$
$864$	25.9103	+	13.8801i	0.881486	+	0.472210i
$865$	0.466753	−	0.448498i	0.0158701	−	0.0152494i
$866$	3.05316	−	26.8576i	0.103751	−	0.912660i
$867$	−7.38481	−	56.7314i	−0.250801	−	1.92670i
$868$	−8.65184	−	5.19260i	−0.293663	−	0.176248i
$869$	1.24586	+	3.83438i	0.0422631	+	0.130072i
$870$	−1.62785	−	3.22421i	−0.0551891	−	0.109311i
$871$	−24.2336	−	7.87397i	−0.821124	−	0.266799i
$872$	−9.27503	+	26.2551i	−0.314092	+	0.889111i
$873$	8.38164	+	31.6491i	0.283675	+	1.07116i
$874$	−1.95555	−	3.45439i	−0.0661475	−	0.116846i
$875$	6.59943	+	15.1256i	0.223102	+	0.511340i
$876$	−31.1184	−	27.5840i	−1.05139	−	0.931977i
$877$	25.3487	−	18.4169i	0.855966	−	0.621896i	−0.0708185	−	0.997489i	$-0.522561\pi$
$877$	25.3487	−	18.4169i	0.855966	−	0.621896i	0.926784	+	0.375594i	$0.122561\pi$
$878$	−28.2888	+	5.76287i	−0.954701	+	0.194488i
$879$	−31.4703	−	17.1463i	−1.06147	−	0.578332i
$880$	−4.78531	−	6.60693i	−0.161313	−	0.222720i
$881$	−43.7549	+	14.2168i	−1.47414	+	0.478977i	−0.932356	−	0.361541i	$-0.882251\pi$
$881$	−43.7549	+	14.2168i	−1.47414	+	0.478977i	−0.541784	+	0.840518i	$0.682251\pi$
$882$	20.2383	−	2.96964i	0.681460	−	0.0999928i
$883$	−29.7733	+	9.67394i	−1.00195	+	0.325554i	−0.763645	−	0.645636i	$-0.776592\pi$
$883$	−29.7733	+	9.67394i	−1.00195	+	0.325554i	−0.238307	+	0.971190i	$0.576592\pi$
$884$	69.8744	−	29.7017i	2.35013	−	0.998975i
$885$	48.3181	−	31.7076i	1.62420	−	1.06584i
$886$	−13.0874	+	28.7368i	−0.439679	+	0.965433i
$887$	−33.6980	+	46.3813i	−1.13147	+	1.55733i	−0.346214	+	0.938156i	$0.612533\pi$
$887$	−33.6980	+	46.3813i	−1.13147	+	1.55733i	−0.785253	+	0.619175i	$0.787467\pi$
$888$	−21.0286	+	18.9077i	−0.705672	+	0.634500i
$889$	−7.56246	+	5.49445i	−0.253637	+	0.184278i
$890$	8.62511	+	24.5308i	0.289114	+	0.822275i
$891$	−8.03912	+	1.65989i	−0.269321	+	0.0556083i
$892$	−17.3131	−	3.98783i	−0.579687	−	0.133523i
$893$			3.92487i			0.131341i
$894$	−22.7303	−	30.2398i	−0.760216	−	1.01137i
$895$	−8.49152	+	47.4664i	−0.283840	+	1.58663i
$896$	2.49758	+	16.5117i	0.0834381	+	0.551617i
$897$	−30.0959	−	16.3976i	−1.00487	−	0.547498i
$898$	−19.5652	−	8.91042i	−0.652900	−	0.297344i
$899$		−	2.25398i		−	0.0751745i
$900$	0.221594	−	29.9992i	0.00738645	−	0.999973i
$901$		−	59.8848i		−	1.99505i
$902$	−3.29305	+	7.23078i	−0.109646	+	0.240759i
$903$	8.80062	+	4.79496i	0.292866	+	0.159566i
$904$	8.68379	+	3.06768i	0.288819	+	0.102030i
$905$	17.7992	+	36.7256i	0.591666	+	1.22080i
$906$	40.8313	−	30.6916i	1.35653	−	1.01966i
$907$			43.2814i			1.43714i	0.695457	+	0.718568i	$0.255202\pi$
$907$			43.2814i			1.43714i	−0.695457	+	0.718568i	$0.744798\pi$
$908$	26.1696	+	6.02780i	0.868470	+	0.200040i
$909$	−24.3856	−	37.7910i	−0.808819	−	1.25345i
$910$	15.2060	+	19.9090i	0.504075	+	0.659976i
$911$	6.39354	−	4.64518i	0.211827	−	0.153902i	−0.476813	−	0.879005i	$-0.658208\pi$
$911$	6.39354	−	4.64518i	0.211827	−	0.153902i	0.688640	+	0.725103i	$0.258208\pi$
$912$	1.67588	−	5.00127i	0.0554938	−	0.165609i
$913$	5.66580	−	7.79830i	0.187511	−	0.258086i
$914$	−25.1623	−	11.4594i	−0.832295	−	0.379044i
$915$	3.42247	+	12.5329i	0.113143	+	0.414324i
$916$	−3.86868	−	9.10125i	−0.127825	−	0.300714i
$917$	3.30625	−	1.07426i	0.109182	−	0.0354754i
$918$	−51.9377	−	2.02775i	−1.71420	−	0.0669256i
$919$	6.05656	−	1.96789i	0.199787	−	0.0649149i	−0.207414	−	0.978253i	$-0.566505\pi$
$919$	6.05656	−	1.96789i	0.199787	−	0.0649149i	0.407201	+	0.913338i	$0.366505\pi$
$920$	−11.5172	+	20.2747i	−0.379712	+	0.668436i
$921$	36.9153	+	20.1130i	1.21640	+	0.662747i
$922$	0.422895	+	2.07591i	0.0139273	+	0.0683664i
$923$	22.1789	−	16.1139i	0.730026	−	0.530395i
$924$	−3.48989	−	3.09351i	−0.114809	−	0.101769i
$925$	27.0720	+	10.0064i	0.890122	+	0.329007i
$926$	2.71632	−	1.53773i	0.0892639	−	0.0505329i
$927$	38.5740	−	10.2156i	1.26694	−	0.335523i
$928$	−2.87539	+	2.37640i	−0.0943891	+	0.0780090i
$929$	−11.5433	−	3.75064i	−0.378723	−	0.123055i	0.113468	−	0.993542i	$-0.463804\pi$
$929$	−11.5433	−	3.75064i	−0.378723	−	0.123055i	−0.492191	+	0.870487i	$0.663804\pi$
$930$	8.56098	−	16.6496i	0.280725	−	0.545961i
$931$	−1.13426	−	3.49091i	−0.0371740	−	0.114410i
$932$	3.94427	−	6.57190i	0.129199	−	0.215270i
$933$	1.79672	+	13.8027i	0.0588220	+	0.451881i
$934$	43.2776	+	4.91977i	1.41609	+	0.160980i
$935$	12.7201	+	6.80409i	0.415992	+	0.222517i
$936$	−10.5360	−	44.3058i	−0.344380	−	1.44818i
$937$	−4.09316	+	5.63375i	−0.133718	+	0.184047i	−0.870625	−	0.491947i	$-0.836285\pi$
$937$	−4.09316	+	5.63375i	−0.133718	+	0.184047i	0.736907	+	0.675994i	$0.236285\pi$
$938$	−1.11939	+	9.84686i	−0.0365492	+	0.321511i
$939$	0.241303	+	0.507804i	0.00787463	+	0.0165716i
$940$	19.7858	−	11.8352i	0.645343	−	0.386020i
$941$	14.8561	+	10.7936i	0.484295	+	0.351861i	0.802986	−	0.595998i	$-0.203243\pi$
$941$	14.8561	+	10.7936i	0.484295	+	0.351861i	−0.318691	+	0.947859i	$0.603243\pi$
$942$	−20.7557	−	27.6128i	−0.676257	−	0.899674i
$943$	22.7101			0.739543
$944$	−42.9780	−	41.4194i	−1.39881	−	1.34809i
$945$	−3.59703	−	16.7686i	−0.117011	−	0.545483i
$946$	1.00935	+	4.95469i	0.0328167	+	0.161091i
$947$	−7.19358	+	22.1396i	−0.233760	+	0.719439i	0.763523	+	0.645780i	$0.223468\pi$
$947$	−7.19358	+	22.1396i	−0.233760	+	0.719439i	−0.997283	+	0.0736593i	$0.976532\pi$
$948$	15.2407	+	1.48213i	0.494993	+	0.0481373i
$949$			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	0.738617	+	0.674126i	$0.235479\pi$
$953$	−7.87752	+	24.2445i	−0.255178	+	0.785357i	−0.993795	+	0.111231i	$0.964521\pi$
$954$	−35.4115	−	6.02271i	−1.14649	−	0.194992i
$955$	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
$960$	−30.2656	+	6.63264i	−0.976819	+	0.214068i
$961$	−15.6276	+	11.3541i	−0.504115	+	0.366261i
$962$	43.5335	+	4.94887i	1.40358	+	0.159558i
$963$	−2.37922	−	3.68714i	−0.0766692	−	0.118816i
$964$	1.50743	+	17.1302i	0.0485511	+	0.551728i
$965$	−15.2209	+	2.10052i	−0.489977	+	0.0676180i
$966$	−3.91263	+	12.7428i	−0.125887	+	0.409992i
$967$	15.6559	+	48.1841i	0.503461	+	1.54949i	0.803342	+	0.595518i	$0.203053\pi$
$967$	15.6559	+	48.1841i	0.503461	+	1.54949i	−0.299881	+	0.953977i	$0.596947\pi$
$968$	−0.731034	+	28.7505i	−0.0234963	+	0.924075i
$969$	1.20396	+	9.24903i	0.0386768	+	0.297122i
$970$	−28.3977	−	19.6109i	−0.911796	−	0.629668i
$971$	−28.7487	−	9.34102i	−0.922590	−	0.299768i	−0.191061	−	0.981578i	$-0.561193\pi$
$971$	−28.7487	−	9.34102i	−0.922590	−	0.299768i	−0.731529	+	0.681811i	$0.761193\pi$
$972$	−6.42251	+	30.5082i	−0.206002	+	0.978552i
$973$	15.4554	−	11.2290i	0.495477	−	0.359985i
$974$	25.2359	−	14.2862i	0.808610	−	0.457760i
$975$	−35.0093	+	30.5742i	−1.12119	+	0.979157i
$976$	11.8409	−	6.31127i	0.379017	−	0.202019i
$977$	29.0278	−	21.0900i	0.928683	−	0.674727i	−0.0169873	−	0.999856i	$-0.505407\pi$
$977$	29.0278	−	21.0900i	0.928683	−	0.674727i	0.945670	+	0.325128i	$0.105407\pi$
$978$	−47.0865	+	0.765224i	−1.50566	+	0.0244692i
$979$	−2.31759	+	7.13281i	−0.0740705	+	0.227965i
$980$	−14.1779	+	16.2446i	−0.452896	+	0.518914i
$981$	−29.4893	−	1.63160i	−0.941520	−	0.0520929i
$982$	−18.1424	−	32.0477i	−0.578948	−	1.02268i
$983$	12.0800	−	3.92504i	0.385293	−	0.125189i	−0.109965	−	0.993935i	$-0.535074\pi$
$983$	12.0800	−	3.92504i	0.385293	−	0.125189i	0.495257	+	0.868746i	$0.335074\pi$
$984$	20.1765	+	22.4397i	0.643203	+	0.715352i
$985$	6.21429	−	34.7370i	0.198004	−	1.10681i
$986$	2.73392	−	6.00306i	0.0870657	−	0.191176i
$987$	9.57366	−	9.05861i	0.304733	−	0.288339i
$988$	−7.52091	+	3.19692i	−0.239272	+	0.101708i
$989$	11.6926	−	8.49516i	0.371803	−	0.270130i
$990$	5.30272	−	6.83745i	0.168532	−	0.217308i
$991$	−33.6087	+	46.2584i	−1.06762	+	1.46945i	−0.195149	+	0.980774i	$0.562519\pi$
$991$	−33.6087	+	46.2584i	−1.06762	+	1.46945i	−0.872467	+	0.488673i	$0.837481\pi$
$992$	−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
$996$	−18.5511	−	31.5620i	−0.587813	−	1.00008i
$997$	11.7946	−	36.3000i	0.373538	−	1.14963i	−0.570921	−	0.821005i	$-0.693414\pi$
$997$	11.7946	−	36.3000i	0.373538	−	1.14963i	0.944460	−	0.328628i	$-0.106586\pi$
$998$	−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.539.75	yes	464
3.2	odd	2	inner	600.2.bk.a.539.42	yes	464
8.3	odd	2	inner	600.2.bk.a.539.112	yes	464
24.11	even	2	inner	600.2.bk.a.539.5	yes	464
25.9	even	10	inner	600.2.bk.a.59.5	✓	464
75.59	odd	10	inner	600.2.bk.a.59.112	yes	464
200.59	odd	10	inner	600.2.bk.a.59.42	yes	464
600.59	even	10	inner	600.2.bk.a.59.75	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
600.2.bk.a.59.5	✓	464	25.9	even	10	inner
600.2.bk.a.59.42	yes	464	200.59	odd	10	inner
600.2.bk.a.59.75	yes	464	600.59	even	10	inner
600.2.bk.a.59.112	yes	464	75.59	odd	10	inner
600.2.bk.a.539.5	yes	464	24.11	even	2	inner
600.2.bk.a.539.42	yes	464	3.2	odd	2	inner
600.2.bk.a.539.75	yes	464	1.1	even	1	trivial
600.2.bk.a.539.112	yes	464	8.3	odd	2	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)

\(f(q)\)	\(=\)	\(q+(0.586139 - 1.28703i) q^{2} +(-0.828679 + 1.52095i) q^{3} +(-1.31288 - 1.50876i) q^{4} +(0.305686 + 2.21507i) q^{5} +(1.47178 + 1.95802i) q^{6} -1.47604 q^{7} +(-2.71134 + 0.805374i) q^{8} +(-1.62658 - 2.52076i) q^{9} +O(q^{10})\)	\(q+(0.586139 - 1.28703i) q^{2} +(-0.828679 + 1.52095i) q^{3} +(-1.31288 - 1.50876i) q^{4} +(0.305686 + 2.21507i) q^{5} +(1.47178 + 1.95802i) q^{6} -1.47604 q^{7} +(-2.71134 + 0.805374i) q^{8} +(-1.62658 - 2.52076i) q^{9} +(3.03004 + 0.904916i) q^{10} +(0.536105 + 0.737886i) q^{11} +(3.38270 - 0.746554i) q^{12} +(-4.34207 - 3.15470i) q^{13} +(-0.865167 + 1.89971i) q^{14} +(-3.62234 - 1.37065i) q^{15} +(-0.552686 + 3.96163i) q^{16} +(-2.18574 - 6.72702i) q^{17} +(-4.19769 + 0.615941i) q^{18} +(0.235261 + 0.724060i) q^{19} +(2.94068 - 3.36934i) q^{20} +(1.22317 - 2.24499i) q^{21} +(1.26391 - 0.257479i) q^{22} +(-2.16707 - 2.98271i) q^{23} +(1.02190 - 4.79121i) q^{24} +(-4.81311 + 1.35423i) q^{25} +(-6.60524 + 3.73927i) q^{26} +(5.18187 - 0.385053i) q^{27} +(1.93787 + 2.22699i) q^{28} +(-0.203775 + 0.627154i) q^{29} +(-3.88726 + 3.85865i) q^{30} +(-3.25079 + 1.05624i) q^{31} +(4.77478 + 3.03339i) q^{32} +(-1.56655 + 0.203920i) q^{33} +(-9.93901 - 1.12986i) q^{34} +(-0.451205 - 3.26954i) q^{35} +(-1.66770 + 5.76357i) q^{36} +(-4.66999 - 3.39294i) q^{37} +(1.06978 + 0.121612i) q^{38} +(8.39632 - 3.98984i) q^{39} +(-2.61278 - 5.75963i) q^{40} +(-3.62063 + 4.98337i) q^{41} +(-2.17242 - 2.89012i) q^{42} +3.92012i q^{43} +(0.409446 - 1.77761i) q^{44} +(5.08645 - 4.37356i) q^{45} +(-5.10903 + 1.04079i) q^{46} +(4.90302 + 1.59309i) q^{47} +(-5.56745 - 4.12353i) 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} +(2.54172 - 6.89490i) 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} +(2.68772 + 7.26472i) q^{60} +(-1.97170 - 2.71382i) q^{61} +(-0.545998 + 4.80296i) q^{62} +(2.40091 + 3.72075i) q^{63} +(6.70275 - 4.36729i) q^{64} +(5.66058 - 10.5824i) q^{65} +(-0.655765 + 2.13572i) q^{66} +(4.51522 - 1.46708i) q^{67} +(-7.27981 + 12.1295i) q^{68} +(6.33236 - 0.824292i) q^{69} +(-4.47246 - 1.33569i) q^{70} +(-1.57843 + 4.85790i) q^{71} +(6.44038 + 5.52463i) q^{72} +(-7.05593 - 9.71166i) q^{73} +(-7.10408 + 4.02166i) q^{74} +(1.92880 - 8.44273i) q^{75} +(0.783559 - 1.30556i) q^{76} +(-0.791314 - 1.08915i) q^{77} +(-0.213624 - 13.1449i) q^{78} +(4.20401 + 1.36596i) q^{79} +(-8.94426 - 0.0132246i) q^{80} +(-3.70846 + 8.20045i) q^{81} +(4.29154 + 7.58080i) q^{82} +(-3.26583 - 10.0512i) q^{83} +(-4.99301 + 1.10195i) q^{84} +(14.2327 - 6.89793i) q^{85} +(5.04531 + 2.29774i) q^{86} +(-0.785007 - 0.829641i) q^{87} +(-2.04784 - 1.56890i) q^{88} +(4.83327 + 6.65243i) q^{89} +(-2.64753 - 9.10992i) 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} +(-8.57040 + 4.74850i) 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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