LMFDB - Embedded newform 230.2.l.a.53.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [230,2,Mod(7,230)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("230.7"); S:= CuspForms(chi, 2); N := Newforms(S);

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

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

Newform invariants

comment:select newform

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

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

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

Embedding invariants

Embedding label			53.4
Character	$\chi$	$=$	230.53
Dual form			230.2.l.a.217.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0713392 - 0.997452i) q^{2} +(0.222619 + 0.0484278i) q^{3} +(-0.989821 + 0.142315i) q^{4} +(-1.95720 - 1.08137i) q^{5} +(0.0324229 - 0.225507i) q^{6} +(-2.08717 - 1.13968i) q^{7} +(0.212565 + 0.977147i) q^{8} +(-2.68168 - 1.22468i) q^{9} +(-0.938994 + 2.02936i) q^{10} +(1.23410 - 1.06935i) q^{11} +(-0.227245 - 0.0162529i) q^{12} +(-1.52821 - 2.79870i) q^{13} +(-0.987880 + 2.16316i) q^{14} +(-0.383341 - 0.335517i) q^{15} +(0.959493 - 0.281733i) q^{16} +(0.715986 - 0.535981i) q^{17} +(-1.03025 + 2.76222i) q^{18} +(0.289811 + 2.01568i) q^{19} +(2.09117 + 0.791829i) q^{20} +(-0.409451 - 0.354791i) q^{21} +(-1.15467 - 1.15467i) q^{22} +(0.0633219 - 4.79541i) q^{23} +0.227825i q^{24} +(2.66126 + 4.23293i) q^{25} +(-2.68255 + 1.72397i) q^{26} +(-1.08484 - 0.812098i) q^{27} +(2.22812 + 0.831045i) q^{28} +(5.97254 + 0.858722i) q^{29} +(-0.307315 + 0.406300i) q^{30} +(-1.24302 - 0.798839i) q^{31} +(-0.349464 - 0.936950i) q^{32} +(0.326521 - 0.178294i) q^{33} +(-0.585693 - 0.675926i) q^{34} +(2.85259 + 4.48759i) q^{35} +(2.82868 + 0.830575i) q^{36} +(-8.73500 + 3.25799i) q^{37} +(1.98987 - 0.432870i) q^{38} +(-0.204673 - 0.697051i) q^{39} +(0.640629 - 2.14233i) q^{40} +(3.61309 + 7.91157i) q^{41} +(-0.324678 + 0.433719i) q^{42} +(1.40277 - 6.44843i) q^{43} +(-1.06935 + 1.23410i) q^{44} +(3.92425 + 5.29685i) q^{45} +(-4.78771 + 0.278940i) q^{46} +(7.09117 - 7.09117i) q^{47} +(0.227245 - 0.0162529i) q^{48} +(-0.727082 - 1.13136i) q^{49} +(4.03229 - 2.95645i) q^{50} +(0.185348 - 0.0846458i) q^{51} +(1.91095 + 2.55273i) q^{52} +(4.13880 - 7.57966i) q^{53} +(-0.732637 + 1.14001i) q^{54} +(-3.57175 + 0.758415i) q^{55} +(0.669976 - 2.28173i) q^{56} +(-0.0330975 + 0.462764i) q^{57} +(0.430458 - 6.01859i) q^{58} +(0.585730 - 1.99481i) q^{59} +(0.427188 + 0.277547i) q^{60} +(0.0788478 - 0.122690i) q^{61} +(-0.708128 + 1.29684i) q^{62} +(4.20138 + 5.61238i) q^{63} +(-0.909632 + 0.415415i) q^{64} +(-0.0354376 + 7.13018i) q^{65} +(-0.201133 - 0.312969i) q^{66} +(-1.90764 + 0.136437i) q^{67} +(-0.632421 + 0.632421i) q^{68} +(0.246328 - 1.06448i) q^{69} +(4.27266 - 3.16546i) q^{70} +(5.63471 - 6.50280i) q^{71} +(0.626663 - 2.88072i) q^{72} +(3.44665 - 4.60418i) q^{73} +(3.87283 + 8.48032i) q^{74} +(0.387456 + 1.07121i) q^{75} +(-0.573723 - 1.95392i) q^{76} +(-3.79450 + 0.825443i) q^{77} +(-0.680674 + 0.253878i) q^{78} +(-3.63797 - 1.06820i) q^{79} +(-2.18258 - 0.486164i) q^{80} +(5.58960 + 6.45074i) q^{81} +(7.63366 - 4.16829i) q^{82} +(-0.217458 - 0.583027i) q^{83} +(0.455776 + 0.292909i) q^{84} +(-1.98092 + 0.274772i) q^{85} +(-6.53208 - 0.939171i) q^{86} +(1.28802 + 0.480405i) q^{87} +(1.30724 + 0.978590i) q^{88} +(-13.2135 + 8.49180i) q^{89} +(5.00340 - 4.29212i) q^{90} +7.58303i q^{91} +(0.619781 + 4.75561i) q^{92} +(-0.238033 - 0.238033i) q^{93} +(-7.57898 - 6.56722i) q^{94} +(1.61249 - 4.25849i) q^{95} +(-0.0324229 - 0.225507i) q^{96} +(-2.18745 + 5.86478i) q^{97} +(-1.07661 + 0.805940i) q^{98} +(-4.61908 + 1.35629i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) $ 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Character values

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

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{19}{22}\right)$

Coefficient data

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

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

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

$2$	−0.0713392	−	0.997452i	−0.0504444	−	0.705305i
$2$	−0.0713392	−	0.997452i	−0.0504444	−	0.705305i
$3$	0.222619	+	0.0484278i	0.128529	+	0.0279598i	0.276370	−	0.961051i	$-0.410869\pi$
$3$	0.222619	+	0.0484278i	0.128529	+	0.0279598i	−0.147841	+	0.989011i	$0.547232\pi$
$4$	−0.989821	+	0.142315i	−0.494911	+	0.0711574i
$5$	−1.95720	−	1.08137i	−0.875286	−	0.483605i
$5$	−1.95720	−	1.08137i	−0.875286	−	0.483605i
$6$	0.0324229	−	0.225507i	0.0132366	−	0.0920627i
$7$	−2.08717	−	1.13968i	−0.788876	−	0.430759i	0.0336874	−	0.999432i	$-0.489275\pi$
$7$	−2.08717	−	1.13968i	−0.788876	−	0.430759i	−0.822563	+	0.568674i	$0.807457\pi$
$8$	0.212565	+	0.977147i	0.0751532	+	0.345474i
$9$	−2.68168	−	1.22468i	−0.893894	−	0.408228i
$10$	−0.938994	+	2.02936i	−0.296936	+	0.641739i
$11$	1.23410	−	1.06935i	0.372095	−	0.322422i	−0.448660	−	0.893703i	$-0.648099\pi$
$11$	1.23410	−	1.06935i	0.372095	−	0.322422i	0.820755	+	0.571280i	$0.193553\pi$
$12$	−0.227245	−	0.0162529i	−0.0656000	−	0.00469180i
$13$	−1.52821	−	2.79870i	−0.423848	−	0.776220i	0.575281	−	0.817956i	$-0.304893\pi$
$13$	−1.52821	−	2.79870i	−0.423848	−	0.776220i	−0.999129	+	0.0417364i	$0.986711\pi$
$14$	−0.987880	+	2.16316i	−0.264022	+	0.578128i
$15$	−0.383341	−	0.335517i	−0.0989783	−	0.0866302i
$16$	0.959493	−	0.281733i	0.239873	−	0.0704331i
$17$	0.715986	−	0.535981i	0.173652	−	0.129994i	−0.508916	−	0.860816i	$-0.669954\pi$
$17$	0.715986	−	0.535981i	0.173652	−	0.129994i	0.682569	+	0.730822i	$0.260863\pi$
$18$	−1.03025	+	2.76222i	−0.242833	+	0.651061i
$19$	0.289811	+	2.01568i	0.0664873	+	0.462429i	0.995681	+	0.0928370i	$0.0295935\pi$
$19$	0.289811	+	2.01568i	0.0664873	+	0.462429i	−0.929194	+	0.369592i	$0.879497\pi$
$20$	2.09117	+	0.791829i	0.467601	+	0.177058i
$21$	−0.409451	−	0.354791i	−0.0893496	−	0.0774219i
$22$	−1.15467	−	1.15467i	−0.246176	−	0.246176i
$23$	0.0633219	−	4.79541i	0.0132035	−	0.999913i
$23$	0.0633219	−	4.79541i	0.0132035	−	0.999913i
$24$			0.227825i			0.0465047i
$25$	2.66126	+	4.23293i	0.532252	+	0.846586i
$26$	−2.68255	+	1.72397i	−0.526091	+	0.338098i
$27$	−1.08484	−	0.812098i	−0.208777	−	0.156288i
$28$	2.22812	+	0.831045i	0.421075	+	0.157053i
$29$	5.97254	+	0.858722i	1.10907	+	0.159461i	0.672421	−	0.740169i	$-0.265255\pi$
$29$	5.97254	+	0.858722i	1.10907	+	0.159461i	0.436653	+	0.899630i	$0.356164\pi$
$30$	−0.307315	+	0.406300i	−0.0561078	+	0.0741799i
$31$	−1.24302	−	0.798839i	−0.223253	−	0.143476i	0.424234	−	0.905553i	$-0.360543\pi$
$31$	−1.24302	−	0.798839i	−0.223253	−	0.143476i	−0.647486	+	0.762077i	$0.724180\pi$
$32$	−0.349464	−	0.936950i	−0.0617771	−	0.165631i
$33$	0.326521	−	0.178294i	0.0568399	−	0.0310369i
$34$	−0.585693	−	0.675926i	−0.100446	−	0.115920i
$35$	2.85259	+	4.48759i	0.482175	+	0.758542i
$36$	2.82868	+	0.830575i	0.471446	+	0.138429i
$37$	−8.73500	+	3.25799i	−1.43602	+	0.535609i	−0.942525	−	0.334136i	$-0.891555\pi$
$37$	−8.73500	+	3.25799i	−1.43602	+	0.535609i	−0.493500	+	0.869746i	$0.664283\pi$
$38$	1.98987	−	0.432870i	0.322800	−	0.0702208i
$39$	−0.204673	−	0.697051i	−0.0327739	−	0.111618i
$40$	0.640629	−	2.14233i	0.101292	−	0.338733i
$41$	3.61309	+	7.91157i	0.564270	+	1.23558i	0.949792	+	0.312881i	$0.101294\pi$
$41$	3.61309	+	7.91157i	0.564270	+	1.23558i	−0.385522	+	0.922699i	$0.625979\pi$
$42$	−0.324678	+	0.433719i	−0.0500988	+	0.0669242i
$43$	1.40277	−	6.44843i	0.213921	−	0.983377i	−0.737468	−	0.675383i	$-0.763979\pi$
$43$	1.40277	−	6.44843i	0.213921	−	0.983377i	0.951388	−	0.307995i	$-0.0996578\pi$
$44$	−1.06935	+	1.23410i	−0.161211	+	0.186048i
$45$	3.92425	+	5.29685i	0.584992	+	0.789608i
$46$	−4.78771	+	0.278940i	−0.705910	+	0.0411275i
$47$	7.09117	−	7.09117i	1.03435	−	1.03435i	0.0349645	−	0.999389i	$-0.488868\pi$
$47$	7.09117	−	7.09117i	1.03435	−	1.03435i	0.999389	−	0.0349645i	$-0.0111318\pi$
$48$	0.227245	−	0.0162529i	0.0328000	−	0.00234590i
$49$	−0.727082	−	1.13136i	−0.103869	−	0.161623i
$50$	4.03229	−	2.95645i	0.570252	−	0.418106i
$51$	0.185348	−	0.0846458i	0.0259540	−	0.0118528i
$52$	1.91095	+	2.55273i	0.265001	+	0.353999i
$53$	4.13880	−	7.57966i	0.568509	−	1.04115i	−0.422375	−	0.906421i	$-0.638803\pi$
$53$	4.13880	−	7.57966i	0.568509	−	1.04115i	0.990883	−	0.134724i	$-0.0430149\pi$
$54$	−0.732637	+	1.14001i	−0.0996993	+	0.155135i
$55$	−3.57175	+	0.758415i	−0.481615	+	0.102265i
$56$	0.669976	−	2.28173i	0.0895293	−	0.304909i
$57$	−0.0330975	+	0.462764i	−0.00438388	+	0.0612946i
$58$	0.430458	−	6.01859i	0.0565219	−	0.790279i
$59$	0.585730	−	1.99481i	0.0762556	−	0.259703i	−0.912538	−	0.408992i	$-0.865880\pi$
$59$	0.585730	−	1.99481i	0.0762556	−	0.259703i	0.988794	+	0.149289i	$0.0476986\pi$
$60$	0.427188	+	0.277547i	0.0551498	+	0.0358312i
$61$	0.0788478	−	0.122690i	0.0100954	−	0.0157088i	−0.836169	−	0.548472i	$-0.815210\pi$
$61$	0.0788478	−	0.122690i	0.0100954	−	0.0157088i	0.846265	+	0.532763i	$0.178846\pi$
$62$	−0.708128	+	1.29684i	−0.0899323	+	0.164699i
$63$	4.20138	+	5.61238i	0.529324	+	0.707094i
$64$	−0.909632	+	0.415415i	−0.113704	+	0.0519269i
$65$	−0.0354376	+	7.13018i	−0.00439549	+	0.884389i
$66$	−0.201133	−	0.312969i	−0.0247578	−	0.0385239i
$67$	−1.90764	+	0.136437i	−0.233055	+	0.0166684i	−0.187378	−	0.982288i	$-0.559999\pi$
$67$	−1.90764	+	0.136437i	−0.233055	+	0.0166684i	−0.0456768	+	0.998956i	$0.514544\pi$
$68$	−0.632421	+	0.632421i	−0.0766923	+	0.0766923i
$69$	0.246328	−	1.06448i	0.0296544	−	0.128149i
$70$	4.27266	−	3.16546i	0.510680	−	0.378345i
$71$	5.63471	−	6.50280i	0.668717	−	0.771740i	−0.315458	−	0.948939i	$-0.602158\pi$
$71$	5.63471	−	6.50280i	0.668717	−	0.771740i	0.984175	+	0.177199i	$0.0567037\pi$
$72$	0.626663	−	2.88072i	0.0738529	−	0.339496i
$73$	3.44665	−	4.60418i	0.403400	−	0.538879i	−0.552136	−	0.833754i	$-0.686187\pi$
$73$	3.44665	−	4.60418i	0.403400	−	0.538879i	0.955536	+	0.294875i	$0.0952780\pi$
$74$	3.87283	+	8.48032i	0.450208	+	0.985817i
$75$	0.387456	+	1.07121i	0.0447395	+	0.123693i
$76$	−0.573723	−	1.95392i	−0.0658105	−	0.224130i
$77$	−3.79450	+	0.825443i	−0.432423	+	0.0940679i
$78$	−0.680674	+	0.253878i	−0.0770711	+	0.0287461i
$79$	−3.63797	−	1.06820i	−0.409303	−	0.120182i	0.0705978	−	0.997505i	$-0.477509\pi$
$79$	−3.63797	−	1.06820i	−0.409303	−	0.120182i	−0.479901	+	0.877323i	$0.659328\pi$
$80$	−2.18258	−	0.486164i	−0.244020	−	0.0543548i
$81$	5.58960	+	6.45074i	0.621067	+	0.716749i
$82$	7.63366	−	4.16829i	0.842996	−	0.460311i
$83$	−0.217458	−	0.583027i	−0.0238691	−	0.0639956i	0.924469	−	0.381258i	$-0.124509\pi$
$83$	−0.217458	−	0.583027i	−0.0238691	−	0.0639956i	−0.948338	+	0.317263i	$0.897236\pi$
$84$	0.455776	+	0.292909i	0.0497292	+	0.0319590i
$85$	−1.98092	+	0.274772i	−0.214861	+	0.0298032i
$86$	−6.53208	−	0.939171i	−0.704372	−	0.101273i
$87$	1.28802	+	0.480405i	0.138090	+	0.0515048i
$88$	1.30724	+	0.978590i	0.139353	+	0.104318i
$89$	−13.2135	+	8.49180i	−1.40063	+	0.900129i	−0.999871	−	0.0160559i	$-0.994889\pi$
$89$	−13.2135	+	8.49180i	−1.40063	+	0.900129i	−0.400756	+	0.916185i	$0.631253\pi$
$90$	5.00340	−	4.29212i	0.527405	−	0.452429i
$91$			7.58303i			0.794917i
$92$	0.619781	+	4.75561i	0.0646166	+	0.495807i
$93$	−0.238033	−	0.238033i	−0.0246829	−	0.0246829i
$94$	−7.57898	−	6.56722i	−0.781712	−	0.677357i
$95$	1.61249	−	4.25849i	0.165438	−	0.436912i
$96$	−0.0324229	−	0.225507i	−0.00330915	−	0.0230157i
$97$	−2.18745	+	5.86478i	−0.222102	+	0.595478i	−0.999435	−	0.0336111i	$-0.989299\pi$
$97$	−2.18745	+	5.86478i	−0.222102	+	0.595478i	0.777333	+	0.629089i	$0.216572\pi$
$98$	−1.07661	+	0.805940i	−0.108754	+	0.0814122i
$99$	−4.61908	+	1.35629i	−0.464235	+	0.136312i
$100$	−3.23658	−	3.81111i	−0.323658	−	0.381111i
$101$	−3.13777	+	6.87075i	−0.312220	+	0.683665i	−0.999069	−	0.0431340i	$-0.986266\pi$
$101$	−3.13777	+	6.87075i	−0.312220	+	0.683665i	0.686850	+	0.726799i	$0.258993\pi$
$102$	−0.0976527	−	0.178838i	−0.00966906	−	0.0177076i
$103$	−10.8358	−	0.774995i	−1.06769	−	0.0763625i	−0.473582	−	0.880750i	$-0.657039\pi$
$103$	−10.8358	−	0.774995i	−1.06769	−	0.0763625i	−0.594106	+	0.804387i	$0.702494\pi$
$104$	2.40990	−	2.08819i	0.236310	−	0.204764i
$105$	0.417715	+	1.13717i	0.0407649	+	0.110976i
$106$	−7.85560	−	3.58753i	−0.763004	−	0.348452i
$107$	−4.07236	−	18.7204i	−0.393690	−	1.80977i	−0.565632	−	0.824658i	$-0.691368\pi$
$107$	−4.07236	−	18.7204i	−0.393690	−	1.80977i	0.171941	−	0.985107i	$-0.444996\pi$
$108$	1.18937	+	0.649444i	0.114447	+	0.0624927i
$109$	0.780403	−	5.42783i	0.0747491	−	0.519891i	−0.917704	−	0.397265i	$-0.869959\pi$
$109$	0.780403	−	5.42783i	0.0747491	−	0.519891i	0.992453	−	0.122626i	$-0.0391316\pi$
$110$	1.01129	+	3.50855i	0.0964226	+	0.334527i
$111$	−2.10235	+	0.302273i	−0.199546	+	0.0286905i
$112$	−2.32371	−	0.505492i	−0.219570	−	0.0477645i
$113$	0.617806	+	8.63805i	0.0581183	+	0.812600i	0.940010	+	0.341147i	$0.110816\pi$
$113$	0.617806	+	8.63805i	0.0581183	+	0.812600i	−0.881892	+	0.471452i	$0.843730\pi$
$114$	0.463946			0.0434525
$115$	−5.30957	+	9.31711i	−0.495120	+	0.868825i
$116$	−6.03396			−0.560239
$117$	0.670641	+	9.37679i	0.0620008	+	0.866885i
$118$	−2.03152	−	0.441929i	−0.187016	−	0.0406829i
$119$	−2.10523	+	0.302687i	−0.192986	+	0.0277472i
$120$	0.246365	−	0.445900i	0.0224899	−	0.0407049i
$121$	−1.18598	+	8.24866i	−0.107816	+	0.749878i
$122$	−0.128002	−	0.0698943i	−0.0115887	−	0.00632793i
$123$	0.421203	+	1.93624i	0.0379786	+	0.174585i
$124$	1.34405	+	0.613808i	0.120699	+	0.0551216i
$125$	−0.631238	−	11.1625i	−0.0564597	−	0.998405i
$126$	5.29836	−	4.59106i	0.472015	−	0.409004i
$127$	−20.0097	−	1.43112i	−1.77557	−	0.126991i	−0.855266	−	0.518189i	$-0.826606\pi$
$127$	−20.0097	−	1.43112i	−1.77557	−	0.126991i	−0.920307	+	0.391198i	$0.872061\pi$
$128$	0.479249	+	0.877679i	0.0423600	+	0.0775766i
$129$	0.624567	−	1.36761i	0.0549900	−	0.120411i
$130$	7.11454	−	0.473314i	0.623986	−	0.0415124i
$131$	4.72922	−	1.38862i	0.413194	−	0.121325i	−0.0685274	−	0.997649i	$-0.521830\pi$
$131$	4.72922	−	1.38862i	0.413194	−	0.121325i	0.481721	+	0.876325i	$0.340012\pi$
$132$	−0.297823	+	0.222948i	−0.0259222	+	0.0194051i
$133$	1.69235	−	4.53736i	0.146745	−	0.393439i
$134$	0.272178	+	1.89304i	0.0235126	+	0.163534i
$135$	1.24506	+	2.76255i	0.107158	+	0.237762i
$136$	0.675926	+	0.585693i	0.0579601	+	0.0502228i
$137$	13.0887	+	13.0887i	1.11824	+	1.11824i	0.992000	+	0.126240i	$0.0402909\pi$
$137$	13.0887	+	13.0887i	1.11824	+	1.11824i	0.126240	+	0.992000i	$0.459709\pi$
$138$	−1.07934	−	0.169761i	−0.0918799	−	0.0144510i
$139$		−	10.9601i		−	0.929627i	−0.885408	−	0.464814i	$-0.846121\pi$
$139$		−	10.9601i		−	0.929627i	0.885408	−	0.464814i	$-0.153879\pi$
$140$	−3.46220	−	4.03595i	−0.292609	−	0.341100i
$141$	1.92204	−	1.23522i	0.161865	−	0.104024i
$142$	−6.88821	−	5.15645i	−0.578045	−	0.432719i
$143$	−4.87876	−	1.81968i	−0.407982	−	0.152170i
$144$	−2.91809	−	0.419558i	−0.243174	−	0.0349631i
$145$	−10.7609	−	8.13924i	−0.893641	−	0.675927i
$146$	−4.83833	−	3.10941i	−0.400423	−	0.257336i
$147$	−0.107073	−	0.287073i	−0.00883122	−	0.0236774i
$148$	8.18243	−	4.46794i	0.672591	−	0.367263i
$149$	−9.00738	−	10.3951i	−0.737913	−	0.851597i	0.255425	−	0.966829i	$-0.417785\pi$
$149$	−9.00738	−	10.3951i	−0.737913	−	0.851597i	−0.993339	+	0.115231i	$0.963239\pi$
$150$	1.04084	−	0.462888i	0.0849842	−	0.0377946i
$151$	19.8257	+	5.82136i	1.61340	+	0.473736i	0.959233	−	0.282617i	$-0.0912027\pi$
$151$	19.8257	+	5.82136i	1.61340	+	0.473736i	0.654163	+	0.756353i	$0.273021\pi$
$152$	−1.90801	+	0.711652i	−0.154760	+	0.0577226i
$153$	−2.57645	+	0.560473i	−0.208294	+	0.0453116i
$154$	1.09404	+	3.72594i	0.0881599	+	0.300245i
$155$	1.56899	+	2.90765i	0.126024	+	0.233548i
$156$	0.301790	+	0.660828i	0.0241625	+	0.0529086i
$157$	−0.182296	+	0.243518i	−0.0145488	+	0.0194349i	−0.807757	−	0.589516i	$-0.799318\pi$
$157$	−0.182296	+	0.243518i	−0.0145488	+	0.0194349i	0.793208	+	0.608951i	$0.208409\pi$
$158$	−0.805953	+	3.70490i	−0.0641181	+	0.294746i
$159$	1.28844	−	1.48694i	0.102180	−	0.117922i
$160$	−0.329222	+	2.21170i	−0.0260273	+	0.174850i
$161$	−5.59740	+	9.93667i	−0.441137	+	0.783120i
$162$	6.03555	−	6.03555i	0.474197	−	0.474197i
$163$	7.27754	−	0.520500i	0.570021	−	0.0407687i	0.216646	−	0.976250i	$-0.430488\pi$
$163$	7.27754	−	0.520500i	0.570021	−	0.0407687i	0.353375	+	0.935482i	$0.385034\pi$
$164$	−4.70225	−	7.31684i	−0.367184	−	0.571349i
$165$	−0.831868	−	0.00413446i	−0.0647608	−	0.000321867i
$166$	−0.566029	+	0.258497i	−0.0439323	+	0.0200632i
$167$	9.39869	+	12.5552i	0.727293	+	0.971549i	0.999955	+	0.00943968i	$0.00300479\pi$
$167$	9.39869	+	12.5552i	0.727293	+	0.971549i	−0.272663	+	0.962110i	$0.587904\pi$
$168$	0.259648	−	0.475510i	0.0200323	−	0.0366864i
$169$	1.53102	−	2.38232i	0.117771	−	0.183255i
$170$	0.415390	+	1.95627i	0.0318589	+	0.150039i
$171$	1.69139	−	5.76035i	0.129344	−	0.440505i
$172$	−0.470785	+	6.58243i	−0.0358970	+	0.501906i
$173$	−1.08796	+	15.2116i	−0.0827160	+	1.15652i	0.771370	+	0.636387i	$0.219572\pi$
$173$	−1.08796	+	15.2116i	−0.0827160	+	1.15652i	−0.854085	+	0.520133i	$0.825883\pi$
$174$	0.387295	−	1.31901i	0.0293607	−	0.0999935i
$175$	−0.730313	−	11.8678i	−0.0552065	−	0.897124i
$176$	0.882839	−	1.37372i	0.0665465	−	0.103548i
$177$	0.226999	−	0.415718i	0.0170623	−	0.0312473i
$178$	9.41280	+	12.5740i	0.705519	+	0.942463i
$179$	9.71797	−	4.43805i	0.726355	−	0.331715i	−0.0176909	−	0.999844i	$-0.505631\pi$
$179$	9.71797	−	4.43805i	0.726355	−	0.331715i	0.744046	+	0.668128i	$0.232904\pi$
$180$	−4.63812	−	4.68446i	−0.345705	−	0.349159i
$181$	−10.7404	−	16.7124i	−0.798326	−	1.24222i	−0.966552	−	0.256471i	$-0.917440\pi$
$181$	−10.7404	−	16.7124i	−0.798326	−	1.24222i	0.168226	−	0.985748i	$-0.446196\pi$
$182$	7.56371	−	0.540967i	0.560659	−	0.0400991i
$183$	0.0234946	−	0.0234946i	0.00173677	−	0.00173677i
$184$	4.69928	−	0.957464i	0.346436	−	0.0705852i
$185$	20.6192	+	3.06927i	1.51596	+	0.225657i
$186$	−0.220446	+	0.254408i	−0.0161639	+	0.0186541i
$187$	0.310446	−	1.42710i	0.0227021	−	0.104360i
$188$	−6.00981	+	8.02817i	−0.438311	+	0.585514i
$189$	1.33870	+	2.93135i	0.0973763	+	0.213224i
$190$	−4.36267	−	1.30458i	−0.316501	−	0.0946444i
$191$	−7.04940	−	24.0081i	−0.510077	−	1.73716i	−0.662706	−	0.748879i	$-0.730592\pi$
$191$	−7.04940	−	24.0081i	−0.510077	−	1.73716i	0.152629	−	0.988284i	$-0.451226\pi$
$192$	−0.222619	+	0.0484278i	−0.0160661	+	0.00349497i
$193$	−0.466923	+	0.174153i	−0.0336098	+	0.0125358i	−0.366213	−	0.930531i	$-0.619346\pi$
$193$	−0.466923	+	0.174153i	−0.0336098	+	0.0125358i	0.332603	+	0.943067i	$0.392073\pi$
$194$	6.00589	+	1.76349i	0.431198	+	0.126611i
$195$	−0.353188	+	1.58560i	−0.0252923	+	0.113547i
$196$	0.880691	+	1.01637i	0.0629065	+	0.0725979i
$197$	9.68625	−	5.28909i	0.690116	−	0.376832i	−0.0955992	−	0.995420i	$-0.530477\pi$
$197$	9.68625	−	5.28909i	0.690116	−	0.376832i	0.785716	+	0.618588i	$0.212295\pi$
$198$	1.68235	+	4.51056i	0.119560	+	0.320551i
$199$	16.6941	+	10.7286i	1.18341	+	0.760534i	0.976011	−	0.217722i	$-0.0698626\pi$
$199$	16.6941	+	10.7286i	1.18341	+	0.760534i	0.207403	+	0.978256i	$0.433499\pi$
$200$	−3.57050	+	3.50022i	−0.252473	+	0.247503i
$201$	−0.431283	−	0.0620092i	−0.0304204	−	0.00437379i
$202$	7.07709	+	2.63962i	0.497943	+	0.185723i
$203$	−11.4870	−	8.59909i	−0.806232	−	0.603538i
$204$	−0.171416	+	0.110162i	−0.0120015	+	0.00771289i
$205$	1.48382	−	19.3916i	0.103635	−	1.35437i
$206$			10.8635i			0.756898i
$207$	−6.04267	+	12.7822i	−0.419995	+	0.888426i
$208$	−2.25479	−	2.25479i	−0.156341	−	0.156341i
$209$	2.51313	+	2.17764i	0.173837	+	0.150631i
$210$	1.10447	−	0.497776i	0.0762157	−	0.0343498i
$211$	−0.340740	−	2.36990i	−0.0234575	−	0.163151i	0.974725	−	0.223406i	$-0.0717176\pi$
$211$	−0.340740	−	2.36990i	−0.0234575	−	0.163151i	−0.998183	+	0.0602554i	$0.980808\pi$
$212$	−3.01798	+	8.09152i	−0.207276	+	0.555728i
$213$	1.56931	−	1.17477i	0.107527	−	0.0804939i
$214$	−18.3821	+	5.39748i	−1.25658	+	0.368964i
$215$	−9.71867	+	11.1040i	−0.662808	+	0.757283i
$216$	0.562940	−	1.23267i	0.0383032	−	0.0838724i
$217$	1.68397	+	3.08395i	0.114315	+	0.209352i
$218$	−5.46967	−	0.391198i	−0.370453	−	0.0264953i
$219$	0.990260	−	0.858065i	0.0669155	−	0.0579826i
$220$	3.42746	−	1.25901i	0.231080	−	0.0848824i
$221$	−2.59422	−	1.18474i	−0.174506	−	0.0796944i
$222$	0.451483	+	2.07543i	0.0303015	+	0.139294i
$223$	1.48517	+	0.810966i	0.0994545	+	0.0543063i	0.528206	−	0.849116i	$-0.322865\pi$
$223$	1.48517	+	0.810966i	0.0994545	+	0.0543063i	−0.428752	+	0.903422i	$0.641047\pi$
$224$	−0.338433	+	2.35385i	−0.0226125	+	0.157273i
$225$	−1.95266	−	14.6106i	−0.130177	−	0.974038i
$226$	8.57197	−	1.23246i	0.570199	−	0.0819822i
$227$	13.4929	+	2.93521i	0.895557	+	0.194817i	0.636712	−	0.771102i	$-0.280294\pi$
$227$	13.4929	+	2.93521i	0.895557	+	0.194817i	0.258846	+	0.965919i	$0.416658\pi$
$228$	−0.0330975	−	0.462764i	−0.00219194	−	0.0306473i
$229$	23.1478			1.52965			0.764824	−	0.644239i	$-0.222826\pi$
$229$	23.1478			1.52965			0.764824	+	0.644239i	$0.222826\pi$
$230$	9.67215	+	4.63137i	0.637763	+	0.305383i
$231$	−0.884702			−0.0582091
$232$	0.430458	+	6.01859i	0.0282609	+	0.395140i
$233$	−0.455341	−	0.0990535i	−0.0298304	−	0.00648921i	0.197625	−	0.980278i	$-0.436677\pi$
$233$	−0.455341	−	0.0990535i	−0.0298304	−	0.00648921i	−0.227456	+	0.973788i	$0.573041\pi$
$234$	9.30506	−	1.33787i	0.608291	−	0.0874590i
$235$	−21.5470	+	6.21063i	−1.40557	+	0.405137i
$236$	−0.295877	+	2.05787i	−0.0192599	+	0.133956i
$237$	−0.758150	−	0.413981i	−0.0492471	−	0.0268910i
$238$	0.452101	+	2.07827i	0.0293053	+	0.134715i
$239$	22.0106	+	10.0519i	1.42375	+	0.650203i	0.970482	−	0.241173i	$-0.0775322\pi$
$239$	22.0106	+	10.0519i	1.42375	+	0.650203i	0.453264	+	0.891376i	$0.350259\pi$
$240$	−0.462339	−	0.213927i	−0.0298439	−	0.0138089i
$241$	6.60628	−	5.72438i	0.425548	−	0.368740i	−0.415597	−	0.909549i	$-0.636427\pi$
$241$	6.60628	−	5.72438i	0.425548	−	0.368740i	0.841145	+	0.540809i	$0.181882\pi$
$242$	8.31225	+	0.594504i	0.534331	+	0.0382161i
$243$	2.88029	+	5.27485i	0.184770	+	0.338382i
$244$	−0.0605847	+	0.132662i	−0.00387854	+	0.00849281i
$245$	0.199619	+	3.00055i	0.0127532	+	0.191698i
$246$	1.90126	−	0.558260i	0.121220	−	0.0355933i
$247$	5.19840	−	3.89147i	0.330766	−	0.247608i
$248$	0.516360	−	1.38442i	0.0327889	−	0.0879105i
$249$	−0.0201755	−	0.140324i	−0.00127857	−	0.00889267i
$250$	−11.0890	+	1.42595i	−0.701332	+	0.0901852i
$251$	2.38168	+	2.06374i	0.150331	+	0.130262i	0.726779	−	0.686871i	$-0.241016\pi$
$251$	2.38168	+	2.06374i	0.150331	+	0.130262i	−0.576449	+	0.817133i	$0.695562\pi$
$252$	−4.95734	−	4.95734i	−0.312283	−	0.312283i
$253$	−5.04985	−	5.98573i	−0.317481	−	0.376320i
$254$			20.0608i			1.25873i
$255$	−0.454298	−	0.0347623i	−0.0284492	−	0.00217690i
$256$	0.841254	−	0.540641i	0.0525783	−	0.0337901i
$257$	0.188377	+	0.141017i	0.0117506	+	0.00879640i	0.605137	−	0.796121i	$-0.293118\pi$
$257$	0.188377	+	0.141017i	0.0117506	+	0.00879640i	−0.593386	+	0.804918i	$0.702209\pi$
$258$	−1.40868	−	0.525411i	−0.0877007	−	0.0327107i
$259$	21.9445	+	3.15514i	1.36356	+	0.196051i
$260$	−0.979653	−	7.06264i	−0.0607555	−	0.438007i
$261$	−14.9648	−	9.61729i	−0.926298	−	0.595296i
$262$	−1.72246	−	4.61810i	−0.106414	−	0.285307i
$263$	−13.7937	+	7.53195i	−0.850558	+	0.464440i	−0.844509	−	0.535542i	$-0.820107\pi$
$263$	−13.7937	+	7.53195i	−0.850558	+	0.464440i	−0.00604947	+	0.999982i	$0.501926\pi$
$264$	0.243626	+	0.281159i	0.0149941	+	0.0173042i
$265$	−16.2969	+	10.3593i	−1.00111	+	0.636367i
$266$	−4.64653	−	1.36435i	−0.284897	−	0.0836534i
$267$	−3.35281	+	1.25053i	−0.205189	+	0.0765315i
$268$	1.86880	−	0.406533i	0.114155	−	0.0248330i
$269$	−7.40660	−	25.2246i	−0.451589	−	1.53797i	−0.799632	−	0.600491i	$-0.794972\pi$
$269$	−7.40660	−	25.2246i	−0.451589	−	1.53797i	0.348043	−	0.937479i	$-0.386846\pi$
$270$	2.66669	−	1.43896i	0.162290	−	0.0875726i
$271$	11.1457	+	24.4057i	0.677055	+	1.48254i	0.865734	+	0.500504i	$0.166852\pi$
$271$	11.1457	+	24.4057i	0.677055	+	1.48254i	−0.188679	+	0.982039i	$0.560421\pi$
$272$	0.535981	−	0.715986i	0.0324986	−	0.0434130i
$273$	−0.367229	+	1.68813i	−0.0222257	+	0.102170i
$274$	12.1216	−	13.9890i	0.732291	−	0.845109i
$275$	7.81076	+	2.37803i	0.471007	+	0.143401i
$276$	−0.0923289	+	1.08870i	−0.00555755	+	0.0655323i
$277$	13.3046	−	13.3046i	0.799393	−	0.799393i	−0.183607	−	0.983000i	$-0.558777\pi$
$277$	13.3046	−	13.3046i	0.799393	−	0.799393i	0.983000	+	0.183607i	$0.0587773\pi$
$278$	−10.9322	+	0.781888i	−0.655671	+	0.0468945i
$279$	2.35505	+	3.66453i	0.140993	+	0.219390i
$280$	−3.77868	+	3.74130i	−0.225819	+	0.223586i
$281$	10.0472	−	4.58840i	0.599365	−	0.273721i	−0.0925404	−	0.995709i	$-0.529499\pi$
$281$	10.0472	−	4.58840i	0.599365	−	0.273721i	0.691905	+	0.721988i	$0.256771\pi$
$282$	−1.36919	−	1.82902i	−0.0815340	−	0.108917i
$283$	−8.68526	+	15.9059i	−0.516285	+	0.945506i	0.481334	+	0.876537i	$0.340153\pi$
$283$	−8.68526	+	15.9059i	−0.516285	+	0.945506i	−0.997619	+	0.0689682i	$0.978029\pi$
$284$	−4.65191	+	7.23851i	−0.276040	+	0.429527i
$285$	0.565199	−	0.869931i	0.0334795	−	0.0515302i
$286$	−1.46700	+	4.99614i	−0.0867455	+	0.295428i
$287$	1.47553	−	20.6306i	0.0870976	−	1.21778i
$288$	−0.210315	+	2.94058i	−0.0123929	+	0.173276i
$289$	−4.56409	+	15.5439i	−0.268476	+	0.914345i
$290$	−7.35084	+	11.3141i	−0.431656	+	0.664386i
$291$	−0.770986	+	1.19968i	−0.0451960	+	0.0703263i
$292$	−2.75632	+	5.04783i	−0.161302	+	0.295402i
$293$	−9.44902	−	12.6224i	−0.552018	−	0.737409i	0.434571	−	0.900638i	$-0.356900\pi$
$293$	−9.44902	−	12.6224i	−0.552018	−	0.737409i	−0.986588	+	0.163229i	$0.947809\pi$
$294$	−0.278703	+	0.127280i	−0.0162543	+	0.00742310i
$295$	−3.30353	+	3.27086i	−0.192339	+	0.190437i
$296$	−5.04029	−	7.84284i	−0.292961	−	0.455856i
$297$	−2.20722	+	0.157863i	−0.128076	+	0.00916015i
$298$	−9.72601	+	9.72601i	−0.563412	+	0.563412i
$299$	−13.5177	+	7.15116i	−0.781748	+	0.413562i
$300$	−0.535961	−	1.00517i	−0.0309437	−	0.0580332i
$301$	−10.2770	+	11.8603i	−0.592355	+	0.683614i
$302$	4.39218	−	20.1905i	0.252741	−	1.16183i
$303$	−1.03126	+	1.37760i	−0.0592444	+	0.0791413i
$304$	0.845955	+	1.85238i	0.0485189	+	0.106242i
$305$	−0.286994	+	0.154864i	−0.0164332	+	0.00886748i
$306$	0.742847	+	2.52991i	0.0424658	+	0.144625i
$307$	−19.2926	+	4.19686i	−1.10109	+	0.239527i	−0.726160	−	0.687526i	$-0.758697\pi$
$307$	−19.2926	+	4.19686i	−1.10109	+	0.239527i	−0.374930	+	0.927053i	$0.622333\pi$
$308$	3.63840	−	1.35705i	0.207317	−	0.0773253i
$309$	−2.37473	−	0.697285i	−0.135094	−	0.0396671i
$310$	2.78831	−	1.77242i	0.158366	−	0.100667i
$311$	−22.5196	−	25.9891i	−1.27697	−	1.47370i	−0.806434	−	0.591325i	$-0.798605\pi$
$311$	−22.5196	−	25.9891i	−1.27697	−	1.47370i	−0.470538	−	0.882380i	$-0.655940\pi$
$312$	0.637615	−	0.348164i	0.0360978	−	0.0197109i
$313$	1.13079	+	3.03176i	0.0639160	+	0.171365i	0.964982	−	0.262317i	$-0.0844867\pi$
$313$	1.13079	+	3.03176i	0.0639160	+	0.171365i	−0.901066	+	0.433683i	$0.857214\pi$
$314$	0.255903	+	0.164459i	0.0144414	+	0.00928094i
$315$	−2.15385	−	15.5278i	−0.121356	−	0.874893i
$316$	3.75296	+	0.539594i	0.211121	+	0.0303546i
$317$	14.7814	+	5.51318i	0.830206	+	0.309651i	0.728399	−	0.685153i	$-0.240265\pi$
$317$	14.7814	+	5.51318i	0.830206	+	0.309651i	0.101807	+	0.994804i	$0.467538\pi$
$318$	−1.57507	−	1.17908i	−0.0883255	−	0.0661196i
$319$	8.28900	−	5.32701i	0.464095	−	0.298256i
$320$	2.22955	+	0.170602i	0.124636	+	0.00953696i
$321$		−	4.36472i		−	0.243615i
$322$	10.3107	+	4.87427i	0.574591	+	0.271632i
$323$	1.28787	+	1.28787i	0.0716589	+	0.0716589i
$324$	−6.45074	−	5.58960i	−0.358375	−	0.310533i
$325$	7.77975	−	13.9169i	0.431543	−	0.771968i
$326$	−1.03835	−	7.22187i	−0.0575088	−	0.399982i
$327$	0.436590	−	1.17054i	0.0241435	−	0.0647312i
$328$	−6.96275	+	5.21225i	−0.384453	+	0.287798i
$329$	−22.8821	+	6.71880i	−1.26153	+	0.370419i
$330$	0.0552209	+	0.830043i	0.00303981	+	0.0456924i
$331$	8.07638	−	17.6848i	0.443918	−	0.972045i	−0.546945	−	0.837169i	$-0.684209\pi$
$331$	8.07638	−	17.6848i	0.443918	−	0.972045i	0.990863	−	0.134876i	$-0.0430636\pi$
$332$	0.298218	+	0.546146i	0.0163668	+	0.0299736i
$333$	27.4145	+	1.96072i	1.50230	+	0.107447i
$334$	11.8527	−	10.2704i	0.648551	−	0.561973i
$335$	3.88117	+	1.79583i	0.212051	+	0.0981169i
$336$	−0.492822	−	0.225064i	−0.0268856	−	0.0122783i
$337$	−2.51874	−	11.5784i	−0.137204	−	0.630718i	−0.993461	−	0.114168i	$-0.963580\pi$
$337$	−2.51874	−	11.5784i	−0.137204	−	0.630718i	0.856257	−	0.516550i	$-0.172784\pi$
$338$	−2.48547	−	1.35717i	−0.135192	−	0.0738203i
$339$	−0.280787	+	1.95291i	−0.0152502	+	0.106068i
$340$	1.92166	−	0.553890i	0.104216	−	0.0300389i
$341$	−2.38825	+	0.343378i	−0.129331	+	0.0185950i
$342$	−5.86633	−	1.27614i	−0.317215	−	0.0690059i
$343$	1.41569	+	19.7940i	0.0764402	+	1.06877i
$344$	6.59925			0.355808
$345$	−1.63322	+	1.81703i	−0.0879295	+	0.0978258i
$346$	15.2505			0.819872
$347$	−1.19228	−	16.6703i	−0.0640051	−	0.894909i	−0.923459	−	0.383696i	$-0.874651\pi$
$347$	−1.19228	−	16.6703i	−0.0640051	−	0.894909i	0.859454	−	0.511213i	$-0.170804\pi$
$348$	−1.34327	−	0.292211i	−0.0720070	−	0.0156642i
$349$	−9.48388	+	1.36358i	−0.507661	+	0.0729906i	−0.391386	−	0.920227i	$-0.628004\pi$
$349$	−9.48388	+	1.36358i	−0.507661	+	0.0729906i	−0.116274	+	0.993217i	$0.537095\pi$
$350$	−11.7855	+	1.57509i	−0.629961	+	0.0841923i
$351$	−0.614966	+	4.27718i	−0.0328244	+	0.228299i
$352$	−1.43320	−	0.782589i	−0.0763901	−	0.0417121i
$353$	1.80747	+	8.30880i	0.0962019	+	0.442233i	0.999901	+	0.0140650i	$0.00447717\pi$
$353$	1.80747	+	8.30880i	0.0962019	+	0.442233i	−0.903699	+	0.428168i	$0.859159\pi$
$354$	−0.430852	−	0.196764i	−0.0228995	−	0.0104579i
$355$	−18.0602	+	6.63405i	−0.958536	+	0.352099i
$356$	11.8705	−	10.2858i	0.629135	−	0.545148i
$357$	−0.483323	−	0.0345679i	−0.0255802	−	0.00182953i
$358$	−5.12001	−	9.37661i	−0.270601	−	0.495569i
$359$	8.93561	−	19.5663i	0.471604	−	1.03267i	−0.513084	−	0.858339i	$-0.671497\pi$
$359$	8.93561	−	19.5663i	0.471604	−	1.03267i	0.984687	−	0.174329i	$-0.0557757\pi$
$360$	−4.34164	+	4.96049i	−0.228825	+	0.261441i
$361$	14.2514	−	4.18458i	0.750073	−	0.220241i
$362$	−15.9036	+	11.9053i	−0.835873	+	0.625726i
$363$	−0.663485	+	1.77887i	−0.0348239	+	0.0933666i
$364$	−1.07918	−	7.50584i	−0.0565643	−	0.393413i
$365$	−11.7246	+	5.28419i	−0.613695	+	0.276587i
$366$	−0.0251108	−	0.0217586i	−0.00131256	−	0.00113734i
$367$	6.51166	+	6.51166i	0.339906	+	0.339906i	0.856332	−	0.516426i	$-0.172738\pi$
$367$	6.51166	+	6.51166i	0.339906	+	0.339906i	−0.516426	+	0.856332i	$0.672738\pi$
$368$	−1.29027	−	4.61901i	−0.0672598	−	0.240782i
$369$		−	25.6412i		−	1.33483i
$370$	1.59049	−	20.7857i	0.0826857	−	1.08059i
$371$	−17.2768	+	11.1031i	−0.896965	+	0.576445i
$372$	0.269486	+	0.201735i	0.0139722	+	0.0104595i
$373$	−1.84788	−	0.689223i	−0.0956795	−	0.0356866i	0.301169	−	0.953571i	$-0.402623\pi$
$373$	−1.84788	−	0.689223i	−0.0956795	−	0.0356866i	−0.396848	+	0.917884i	$0.629896\pi$
$374$	−1.44561	−	0.207847i	−0.0747506	−	0.0107475i
$375$	0.400050	−	2.51555i	0.0206585	−	0.129903i
$376$	8.43645	+	5.42178i	0.435077	+	0.279607i
$377$	−6.72397	−	18.0277i	−0.346302	−	0.928472i
$378$	2.82838	−	1.54441i	0.145476	−	0.0794360i
$379$	−2.39662	−	2.76584i	−0.123106	−	0.142072i	0.690851	−	0.722997i	$-0.257236\pi$
$379$	−2.39662	−	2.76584i	−0.123106	−	0.142072i	−0.813957	+	0.580926i	$0.802691\pi$
$380$	−0.990029	+	4.44462i	−0.0507874	+	0.228004i
$381$	−4.38523	−	1.28762i	−0.224662	−	0.0659667i
$382$	−23.4440	+	8.74416i	−1.19950	+	0.447390i
$383$	−14.6890	+	3.19539i	−0.750572	+	0.163277i	−0.571549	−	0.820568i	$-0.693657\pi$
$383$	−14.6890	+	3.19539i	−0.750572	+	0.163277i	−0.179023	+	0.983845i	$0.557294\pi$
$384$	0.0641858	+	0.218597i	0.00327547	+	0.0111552i
$385$	8.31920	+	2.48772i	0.423986	+	0.126786i
$386$	0.207019	+	0.453309i	0.0105370	+	0.0230728i
$387$	−11.6591	+	15.5747i	−0.592664	+	0.791707i
$388$	1.33054	−	6.11639i	0.0675479	−	0.310513i
$389$	−19.8209	+	22.8745i	−1.00496	+	1.15979i	−0.0178338	+	0.999841i	$0.505677\pi$
$389$	−19.8209	+	22.8745i	−1.00496	+	1.15979i	−0.987126	+	0.159944i	$0.948868\pi$
$390$	1.60675	+	0.239173i	0.0813611	+	0.0121110i
$391$	−2.52491	−	3.46739i	−0.127690	−	0.175353i
$392$	0.950954	−	0.950954i	0.0480304	−	0.0480304i
$393$	1.12006	−	0.0801084i	0.0564996	−	0.00404093i
$394$	−5.96662	−	9.28425i	−0.300594	−	0.467734i
$395$	5.96510	+	6.02469i	0.300137	+	0.303135i
$396$	4.37905	−	1.99984i	0.220056	−	0.100496i
$397$	11.7360	+	15.6774i	0.589012	+	0.786828i	0.991709	−	0.128505i	$-0.0410180\pi$
$397$	11.7360	+	15.6774i	0.589012	+	0.786828i	−0.402697	+	0.915333i	$0.631927\pi$
$398$	9.51037	−	17.4169i	0.476712	−	0.873032i
$399$	0.596483	−	0.928146i	0.0298615	−	0.0464654i
$400$	3.74601	+	3.31170i	0.187301	+	0.165585i
$401$	1.53024	−	5.21153i	0.0764167	−	0.260251i	−0.912420	−	0.409255i	$-0.865789\pi$
$401$	1.53024	−	5.21153i	0.0764167	−	0.260251i	0.988837	+	0.149004i	$0.0476067\pi$
$402$	−0.0310838	+	0.434608i	−0.00155032	+	0.0216763i
$403$	−0.336124	+	4.69962i	−0.0167435	+	0.234105i
$404$	2.12802	−	7.24737i	0.105873	−	0.360570i
$405$	−3.96430	−	18.6698i	−0.196988	−	0.927712i
$406$	−7.75771	+	12.0712i	−0.385008	+	0.599085i
$407$	−7.29592	+	13.3615i	−0.361645	+	0.662304i
$408$	0.122110	+	0.163120i	0.00604535	+	0.00807564i
$409$	−24.5853	+	11.2277i	−1.21567	+	0.555176i	−0.916887	−	0.399146i	$-0.869307\pi$
$409$	−24.5853	+	11.2277i	−1.21567	+	0.555176i	−0.298779	+	0.954322i	$0.596579\pi$
$410$	−19.4481	−	0.0966586i	−0.960472	−	0.00477363i
$411$	2.27993	+	3.54764i	0.112461	+	0.174992i
$412$	10.8358	−	0.774995i	0.533844	−	0.0381813i
$413$	−3.49597	+	3.49597i	−0.172025	+	0.172025i
$414$	13.1807	+	5.11540i	0.647798	+	0.251408i
$415$	−0.204862	+	1.37625i	−0.0100563	+	0.0675577i
$416$	−2.08819	+	2.40990i	−0.102382	+	0.118155i
$417$	0.530776	−	2.43994i	0.0259922	−	0.119484i
$418$	1.99281	−	2.66208i	0.0974715	−	0.130207i
$419$	9.67490	+	21.1851i	0.472650	+	1.03496i	0.984420	+	0.175836i	$0.0562628\pi$
$419$	9.67490	+	21.1851i	0.472650	+	1.03496i	−0.511770	+	0.859123i	$0.671010\pi$
$420$	−0.575300	−	1.06615i	−0.0280717	−	0.0520226i
$421$	4.44771	+	15.1475i	0.216768	+	0.738244i	0.994034	+	0.109072i	$0.0347879\pi$
$421$	4.44771	+	15.1475i	0.216768	+	0.738244i	−0.777266	+	0.629172i	$0.783394\pi$
$422$	−2.33955	+	0.508939i	−0.113888	+	0.0247747i
$423$	−27.7007	+	10.3318i	−1.34685	+	0.502350i
$424$	8.28620	+	2.43305i	0.402414	+	0.118159i
$425$	4.17419	+	1.60434i	0.202478	+	0.0778217i
$426$	−1.28373	−	1.48150i	−0.0621969	−	0.0717791i
$427$	−0.304396	+	0.166213i	−0.0147307	+	0.00804359i
$428$	6.69510	+	17.9503i	0.323620	+	0.867658i
$429$	−0.997981	−	0.641363i	−0.0481830	−	0.0309653i
$430$	11.7690	+	8.90176i	0.567551	+	0.429281i
$431$	−7.36961	−	1.05959i	−0.354981	−	0.0510386i	−0.0374826	−	0.999297i	$-0.511934\pi$
$431$	−7.36961	−	1.05959i	−0.354981	−	0.0510386i	−0.317499	+	0.948259i	$0.602843\pi$
$432$	−1.26969	−	0.473569i	−0.0610878	−	0.0227846i
$433$	10.7745	+	8.06567i	0.517788	+	0.387611i	0.825968	−	0.563717i	$-0.190629\pi$
$433$	10.7745	+	8.06567i	0.517788	+	0.387611i	−0.308180	+	0.951328i	$0.599720\pi$
$434$	2.95596	−	1.89968i	0.141891	−	0.0911877i
$435$	−2.00141	−	2.33307i	−0.0959601	−	0.111862i
$436$			5.48364i			0.262619i
$437$	9.68438	−	1.26213i	0.463267	−	0.0603758i
$438$	−0.926523	−	0.926523i	−0.0442710	−	0.0442710i
$439$	4.17938	+	3.62145i	0.199471	+	0.172842i	0.748869	−	0.662718i	$-0.230597\pi$
$439$	4.17938	+	3.62145i	0.199471	+	0.172842i	−0.549398	+	0.835561i	$0.685143\pi$
$440$	−1.50031	−	3.32891i	−0.0715246	−	0.158700i
$441$	0.564243	+	3.92440i	0.0268687	+	0.186876i
$442$	−0.996654	+	2.67213i	−0.0474060	+	0.127100i
$443$	23.6071	−	17.6721i	1.12161	−	0.839624i	0.133145	−	0.991097i	$-0.457492\pi$
$443$	23.6071	−	17.6721i	1.12161	−	0.839624i	0.988462	+	0.151472i	$0.0484014\pi$
$444$	2.03794	−	0.598392i	0.0967162	−	0.0283984i
$445$	35.0443	−	2.33141i	1.66126	−	0.110520i
$446$	0.702948	−	1.53924i	0.0332856	−	0.0728852i
$447$	−1.50180	−	2.75035i	−0.0710329	−	0.130087i
$448$	2.37200	+	0.169649i	0.112066	+	0.00801514i
$449$	−1.08404	+	0.939325i	−0.0511590	+	0.0443295i	−0.680065	−	0.733152i	$-0.738048\pi$
$449$	−1.08404	+	0.939325i	−0.0511590	+	0.0443295i	0.628906	+	0.777481i	$0.283503\pi$
$450$	−14.4340	+	2.98999i	−0.680427	+	0.140949i
$451$	12.9192	+	5.89999i	0.608341	+	0.277820i
$452$	−1.84084	−	8.46221i	−0.0865859	−	0.398029i
$453$	4.13167	+	2.25606i	0.194123	+	0.105999i
$454$	1.96515	−	13.6679i	0.0922293	−	0.641469i
$455$	8.20009	−	14.8415i	0.384426	−	0.695780i
$456$	−0.459224	+	0.0660264i	−0.0215051	+	0.00309197i
$457$	1.55893	+	0.339125i	0.0729238	+	0.0158636i	0.248879	−	0.968535i	$-0.419938\pi$
$457$	1.55893	+	0.339125i	0.0729238	+	0.0158636i	−0.175955	+	0.984398i	$0.556301\pi$
$458$	−1.65134	−	23.0888i	−0.0771622	−	1.07887i
$459$	−1.21200			−0.0565711
$460$	3.92956	−	9.97790i	0.183217	−	0.465222i
$461$	−6.83009			−0.318109			−0.159054	−	0.987270i	$-0.550845\pi$
$461$	−6.83009			−0.318109			−0.159054	+	0.987270i	$0.550845\pi$
$462$	0.0631139	+	0.882447i	0.00293632	+	0.0410552i
$463$	29.6736	+	6.45510i	1.37905	+	0.299994i	0.840140	−	0.542370i	$-0.182473\pi$
$463$	29.6736	+	6.45510i	1.37905	+	0.299994i	0.538910	+	0.842363i	$0.318836\pi$
$464$	5.97254	−	0.858722i	0.277268	−	0.0398652i
$465$	0.208476	+	0.723281i	0.00966782	+	0.0335414i
$466$	−0.0663174	+	0.461248i	−0.00307209	+	0.0213669i
$467$	33.9156	+	18.5193i	1.56943	+	0.856971i	0.999375	+	0.0353617i	$0.0112583\pi$
$467$	33.9156	+	18.5193i	1.56943	+	0.856971i	0.570051	+	0.821609i	$0.306924\pi$
$468$	−1.99827	−	9.18591i	−0.0923701	−	0.424619i
$469$	4.13706	+	1.88933i	0.191031	+	0.0872411i
$470$	7.73195	+	21.0491i	0.356648	+	0.970921i
$471$	−0.0523755	+	0.0453836i	−0.00241334	+	0.00209117i
$472$	2.07373	+	0.148316i	0.0954512	+	0.00682681i
$473$	−5.16450	−	9.45807i	−0.237464	−	0.434883i
$474$	−0.358841	+	0.785751i	−0.0164821	+	0.0360908i
$475$	−7.76098	+	6.59101i	−0.356098	+	0.302416i
$476$	2.04073	−	0.599211i	0.0935365	−	0.0274648i
$477$	−20.3816	+	15.2575i	−0.933211	+	0.698593i
$478$	8.45607	−	22.6716i	0.386772	−	1.03697i
$479$	5.41689	+	37.6753i	0.247504	+	1.72143i	0.612543	+	0.790437i	$0.290146\pi$
$479$	5.41689	+	37.6753i	0.247504	+	1.72143i	−0.365039	+	0.930992i	$0.618944\pi$
$480$	−0.180399	+	0.476423i	−0.00823404	+	0.0217456i
$481$	22.4670	+	19.4678i	1.02441	+	0.887654i
$482$	−6.18108	−	6.18108i	−0.281540	−	0.281540i
$483$	−1.72730	+	1.94102i	−0.0785948	+	0.0883195i
$484$		−	8.33348i		−	0.378794i
$485$	10.6233	−	9.11309i	0.482379	−	0.413804i
$486$	5.05593	−	3.24925i	0.229342	−	0.147389i
$487$	4.07608	+	3.05132i	0.184705	+	0.138268i	0.687629	−	0.726062i	$-0.258652\pi$
$487$	4.07608	+	3.05132i	0.184705	+	0.138268i	−0.502924	+	0.864331i	$0.667742\pi$
$488$	0.136646	+	0.0509663i	0.00618567	+	0.00230714i
$489$	1.64532	+	0.236562i	0.0744042	+	0.0106977i
$490$	2.97866	−	0.413167i	0.134562	−	0.0186650i
$491$	−26.3696	−	16.9467i	−1.19004	−	0.764794i	−0.212836	−	0.977088i	$-0.568270\pi$
$491$	−26.3696	−	16.9467i	−1.19004	−	0.764794i	−0.977206	+	0.212294i	$0.931906\pi$
$492$	−0.692471	−	1.85659i	−0.0312190	−	0.0837014i
$493$	4.73652	−	2.58633i	0.213322	−	0.116483i
$494$	−4.25241	−	4.90754i	−0.191325	−	0.220801i
$495$	10.5071	+	2.34044i	0.472260	+	0.105195i
$496$	−1.41773	−	0.416282i	−0.0636577	−	0.0186916i
$497$	−19.1717	+	7.15068i	−0.859968	+	0.320752i
$498$	−0.138527	+	0.0301347i	−0.00620755	+	0.00135037i
$499$	2.32707	+	7.92527i	0.104174	+	0.354784i	0.995039	−	0.0994839i	$-0.0317192\pi$
$499$	2.32707	+	7.92527i	0.104174	+	0.354784i	−0.890865	+	0.454268i	$0.849901\pi$
$500$	2.21340	+	10.9591i	0.0989864	+	0.490104i
$501$	1.48431	+	3.25018i	0.0663140	+	0.145207i
$502$	1.88858	−	2.52284i	0.0842912	−	0.112600i
$503$	2.05260	−	9.43566i	0.0915211	−	0.420716i	−0.908475	−	0.417939i	$-0.862753\pi$
$503$	2.05260	−	9.43566i	0.0915211	−	0.420716i	0.999996	−	0.00277650i	$-0.000883789\pi$
$504$	−4.59106	+	5.29836i	−0.204502	+	0.236008i
$505$	13.5711	−	10.0543i	0.603906	−	0.447412i
$506$	−5.61023	+	5.46400i	−0.249405	+	0.242904i
$507$	0.456205	−	0.456205i	0.0202608	−	0.0202608i
$508$	20.0097	−	1.43112i	0.887786	−	0.0634957i
$509$	−5.20577	−	8.10034i	−0.230742	−	0.359041i	0.706505	−	0.707708i	$-0.250271\pi$
$509$	−5.20577	−	8.10034i	−0.230742	−	0.359041i	−0.937247	+	0.348667i	$0.886634\pi$
$510$	−0.00226447	+	0.455620i	−0.000100273	+	0.0201752i
$511$	−12.4410	+	5.68163i	−0.550359	+	0.251341i
$512$	−0.599278	−	0.800541i	−0.0264846	−	0.0353793i
$513$	1.32253	−	2.42204i	0.0583913	−	0.106936i
$514$	0.127219	−	0.197957i	0.00561139	−	0.00873150i
$515$	20.3699	+	13.2344i	0.897603	+	0.583178i
$516$	−0.423578	+	1.44258i	−0.0186470	+	0.0635058i
$517$	1.16824	−	16.3342i	0.0513793	−	0.718376i
$518$	1.58160	−	22.1137i	0.0694915	−	0.971618i
$519$	−0.978867	+	3.33371i	−0.0429675	+	0.146334i
$520$	−6.97476	+	1.48100i	−0.305864	+	0.0649462i
$521$	−6.11743	+	9.51891i	−0.268010	+	0.417031i	−0.949007	−	0.315255i	$-0.897910\pi$
$521$	−6.11743	+	9.51891i	−0.268010	+	0.417031i	0.680997	+	0.732286i	$0.261546\pi$
$522$	−8.52521	+	15.6128i	−0.373138	+	0.683352i
$523$	0.954852	+	1.27553i	0.0417528	+	0.0557752i	0.820932	−	0.571026i	$-0.193455\pi$
$523$	0.954852	+	1.27553i	0.0417528	+	0.0557752i	−0.779179	+	0.626802i	$0.784364\pi$
$524$	−4.48346	+	2.04753i	−0.195861	+	0.0894466i
$525$	0.412151	−	2.67737i	0.0179877	−	0.116850i
$526$	8.49679	+	13.2213i	0.370478	+	0.576475i
$527$	−1.31815	+	0.0942756i	−0.0574193	+	0.00410671i
$528$	0.263063	−	0.263063i	0.0114483	−	0.0114483i
$529$	−22.9920	−	0.607310i	−0.999651	−	0.0264048i
$530$	11.4955	+	15.5164i	0.499333	+	0.673988i
$531$	−4.01376	+	4.63212i	−0.174182	+	0.201017i
$532$	−1.02939	+	4.73203i	−0.0446297	+	0.205159i
$533$	16.6206	−	22.2025i	0.719916	−	0.961696i
$534$	1.48654	+	3.25506i	0.0643287	+	0.140860i
$535$	−12.2733	+	41.0432i	−0.530620	+	1.77445i
$536$	−0.538816	−	1.83504i	−0.0232733	−	0.0792616i
$537$	2.37833	−	0.517374i	0.102632	−	0.0223263i
$538$	−24.6319	+	9.18723i	−1.06196	+	0.396090i
$539$	−2.10712	−	0.618705i	−0.0907600	−	0.0266495i
$540$	−1.62554	−	2.55724i	−0.0699520	−	0.110046i
$541$	−21.7013	−	25.0447i	−0.933013	−	1.07675i	−0.996891	−	0.0787965i	$-0.974892\pi$
$541$	−21.7013	−	25.0447i	−0.933013	−	1.07675i	0.0638779	−	0.997958i	$-0.479653\pi$
$542$	23.5484	−	12.8584i	1.01149	−	0.552316i
$543$	−1.58167	−	4.24062i	−0.0678759	−	0.181982i
$544$	−0.752399	−	0.483537i	−0.0322588	−	0.0207315i
$545$	−7.39691	+	9.77943i	−0.316849	+	0.418905i
$546$	1.71002	+	0.245864i	0.0731822	+	0.0105220i
$547$	6.13953	+	2.28993i	0.262507	+	0.0979102i	0.477272	−	0.878756i	$-0.341626\pi$
$547$	6.13953	+	2.28993i	0.262507	+	0.0979102i	−0.214765	+	0.976666i	$0.568898\pi$
$548$	−14.8181	−	11.0927i	−0.633000	−	0.473858i
$549$	−0.361700	+	0.232451i	−0.0154370	+	0.00992076i
$550$	1.81476	−	7.96051i	0.0773815	−	0.339437i
$551$			12.2876i			0.523470i
$552$	1.09252	+	0.0144263i	0.0465006	+	0.000614026i
$553$	6.37565	+	6.37565i	0.271120	+	0.271120i
$554$	−14.2198	−	12.3215i	−0.604141	−	0.523491i
$555$	4.44159	+	1.68182i	0.188535	+	0.0713893i
$556$	1.55979	+	10.8486i	0.0661499	+	0.460083i
$557$	14.1262	−	37.8737i	0.598545	−	1.60476i	−0.184525	−	0.982828i	$-0.559075\pi$
$557$	14.1262	−	37.8737i	0.598545	−	1.60476i	0.783070	−	0.621933i	$-0.213653\pi$
$558$	3.48719	−	2.61048i	0.147625	−	0.110510i
$559$	−20.1910	+	5.92860i	−0.853986	+	0.250753i
$560$	4.00134	+	3.50215i	0.169087	+	0.147993i
$561$	0.138222	−	0.302665i	0.00583575	−	0.0127785i
$562$	−5.29347	−	9.69426i	−0.223291	−	0.408928i
$563$	3.66516	+	0.262137i	0.154468	+	0.0110478i	0.148359	−	0.988934i	$-0.452601\pi$
$563$	3.66516	+	0.262137i	0.154468	+	0.0110478i	0.00610894	+	0.999981i	$0.498055\pi$
$564$	−1.72668	+	1.49618i	−0.0727065	+	0.0630006i
$565$	8.13180	−	17.5745i	0.342107	−	0.739364i
$566$	16.4849	+	7.52842i	0.692914	+	0.316443i
$567$	−4.31465	−	19.8341i	−0.181198	−	0.832956i
$568$	7.55193	+	4.12367i	0.316872	+	0.173025i
$569$	5.41139	−	37.6370i	0.226857	−	1.57783i	−0.484370	−	0.874863i	$-0.660951\pi$
$569$	5.41139	−	37.6370i	0.226857	−	1.57783i	0.711227	−	0.702963i	$-0.248140\pi$
$570$	−0.908035	−	0.501699i	−0.0380334	−	0.0210139i
$571$	31.6070	−	4.54440i	1.32271	−	0.190177i	0.555470	−	0.831536i	$-0.312538\pi$
$571$	31.6070	−	4.54440i	1.32271	−	0.190177i	0.767241	+	0.641359i	$0.221629\pi$
$572$	5.08807	+	1.10684i	0.212743	+	0.0462794i
$573$	−0.406673	−	5.68604i	−0.0169890	−	0.237538i
$574$	−20.6833			−0.863302
$575$	20.4672	−	12.4938i	0.853540	−	0.521028i
$576$	2.94810			0.122837
$577$	2.94032	+	41.1111i	0.122407	+	1.71148i	0.573671	+	0.819086i	$0.305519\pi$
$577$	2.94032	+	41.1111i	0.122407	+	1.71148i	−0.451264	+	0.892391i	$0.649027\pi$
$578$	15.8299	+	3.44358i	0.658436	+	0.143234i
$579$	−0.112380	+	0.0161578i	−0.00467034	+	0.000671494i
$580$	11.8097	+	6.52497i	0.490370	+	0.270935i
$581$	−0.210593	+	1.46471i	−0.00873689	+	0.0607664i
$582$	1.25162	+	0.683437i	0.0518814	+	0.0283294i
$583$	−2.99763	−	13.7799i	−0.124149	−	0.570705i
$584$	5.23160	+	2.38919i	0.216485	+	0.0988655i
$585$	8.82724	−	19.0775i	0.364961	−	0.788756i
$586$	−11.9162	+	10.3254i	−0.492252	+	0.426539i
$587$	−25.1324	−	1.79751i	−1.03733	−	0.0741910i	−0.457727	−	0.889093i	$-0.651336\pi$
$587$	−25.1324	−	1.79751i	−1.03733	−	0.0741910i	−0.579599	+	0.814902i	$0.696791\pi$
$588$	0.146838	+	0.268913i	0.00605549	+	0.0110898i
$589$	1.24996	−	2.73704i	0.0515039	−	0.112778i
$590$	3.49819	+	3.06177i	0.144018	+	0.126051i
$591$	2.41248	−	0.708368i	0.0992362	−	0.0291384i
$592$	−7.46329	+	5.58695i	−0.306739	+	0.229622i
$593$	3.05691	−	8.19591i	0.125532	−	0.336566i	−0.858947	−	0.512064i	$-0.828881\pi$
$593$	3.05691	−	8.19591i	0.125532	−	0.336566i	0.984480	+	0.175499i	$0.0561537\pi$
$594$	0.314922	+	2.19033i	0.0129214	+	0.0898703i
$595$	4.44768	+	1.68412i	0.182337	+	0.0690424i
$596$	10.3951	+	9.00738i	0.425799	+	0.368957i
$597$	3.19686	+	3.19686i	0.130839	+	0.130839i
$598$	8.09728	+	12.9731i	0.331122	+	0.530509i
$599$		−	31.1793i		−	1.27395i	−0.770883	−	0.636976i	$-0.780185\pi$
$599$		−	31.1793i		−	1.27395i	0.770883	−	0.636976i	$-0.219815\pi$
$600$	−0.964369	+	0.606303i	−0.0393702	+	0.0247522i
$601$	24.5140	−	15.7542i	0.999946	−	0.642626i	0.0651738	−	0.997874i	$-0.479240\pi$
$601$	24.5140	−	15.7542i	0.999946	−	0.642626i	0.934772	+	0.355248i	$0.115603\pi$
$602$	12.5632	+	9.40469i	0.512038	+	0.383307i
$603$	5.28277	+	1.97037i	0.215131	+	0.0802397i
$604$	−20.4524	−	2.94061i	−0.832197	−	0.119652i
$605$	11.2411	−	14.8618i	0.457015	−	0.604217i
$606$	1.44766	+	0.930357i	0.0588073	+	0.0377932i
$607$	−16.6078	−	44.5272i	−0.674089	−	1.80730i	−0.584611	−	0.811314i	$-0.698753\pi$
$607$	−16.6078	−	44.5272i	−0.674089	−	1.80730i	−0.0894782	−	0.995989i	$-0.528520\pi$
$608$	1.78731	−	0.975948i	0.0724852	−	0.0395799i
$609$	−2.14080	−	2.47061i	−0.0867495	−	0.100114i
$610$	0.174943	+	0.275215i	0.00708325	+	0.0111431i
$611$	−30.6828	−	9.00929i	−1.24129	−	0.364477i
$612$	2.47047	−	0.921436i	0.0998627	−	0.0372468i
$613$	−39.6054	+	8.61562i	−1.59965	+	0.347982i	−0.921934	−	0.387346i	$-0.873392\pi$
$613$	−39.6054	+	8.61562i	−1.59965	+	0.347982i	−0.677712	+	0.735328i	$0.737028\pi$
$614$	5.56249	+	18.9441i	0.224484	+	0.764521i
$615$	1.26942	−	4.24508i	0.0511880	−	0.171178i
$616$	−1.61316	−	3.53232i	−0.0649960	−	0.142321i
$617$	−8.96447	+	11.9751i	−0.360896	+	0.482101i	−0.943836	−	0.330415i	$-0.892811\pi$
$617$	−8.96447	+	11.9751i	−0.360896	+	0.482101i	0.582940	+	0.812515i	$0.301902\pi$
$618$	−0.526097	+	2.41843i	−0.0211627	+	0.0972834i
$619$	−12.8136	+	14.7877i	−0.515022	+	0.594367i	−0.952377	−	0.304922i	$-0.901370\pi$
$619$	−12.8136	+	14.7877i	−0.515022	+	0.594367i	0.437356	+	0.899289i	$0.355915\pi$
$620$	−1.96682	−	2.65477i	−0.0789895	−	0.106618i
$621$	−3.96304	+	5.15081i	−0.159031	+	0.206695i
$622$	−24.3163	+	24.3163i	−0.974995	+	0.974995i
$623$	37.2567	−	2.66465i	1.49266	−	0.106757i
$624$	−0.392764	−	0.611153i	−0.0157231	−	0.0244657i
$625$	−10.8354	+	22.5299i	−0.433415	+	0.901194i
$626$	2.94337	−	1.34419i	0.117641	−	0.0537247i
$627$	0.454013	+	0.606490i	0.0181315	+	0.0242209i
$628$	0.145784	−	0.266983i	0.00581741	−	0.0106538i
$629$	−4.50792	+	7.01446i	−0.179743	+	0.279685i
$630$	−15.3346	+	3.25610i	−0.610945	+	0.129726i
$631$	−6.53725	+	22.2638i	−0.260244	+	0.886309i	0.720902	+	0.693037i	$0.243728\pi$
$631$	−6.53725	+	22.2638i	−0.260244	+	0.886309i	−0.981145	+	0.193271i	$0.938090\pi$
$632$	0.270486	−	3.78189i	0.0107594	−	0.150436i
$633$	0.0389138	−	0.544086i	0.00154668	−	0.0216255i
$634$	4.44464	−	15.1370i	0.176519	−	0.601169i
$635$	37.6154	+	24.4389i	1.49272	+	0.969830i
$636$	−1.06371	+	1.65517i	−0.0421790	+	0.0656318i
$637$	−2.05521	+	3.76384i	−0.0814304	+	0.149129i
$638$	−5.90477	−	7.88785i	−0.233772	−	0.312283i
$639$	−23.0744	+	10.5377i	−0.912808	+	0.416865i
$640$	0.0111133	−	2.23604i	0.000439292	−	0.0883873i
$641$	1.06928	+	1.66384i	0.0422342	+	0.0657177i	0.861729	−	0.507369i	$-0.169382\pi$
$641$	1.06928	+	1.66384i	0.0422342	+	0.0657177i	−0.819494	+	0.573087i	$0.805746\pi$
$642$	−4.35360	+	0.311376i	−0.171823	+	0.0122890i
$643$	8.39798	−	8.39798i	0.331184	−	0.331184i	−0.521852	−	0.853036i	$-0.674759\pi$
$643$	8.39798	−	8.39798i	0.331184	−	0.331184i	0.853036	+	0.521852i	$0.174759\pi$
$644$	4.12629	−	10.6321i	0.162599	−	0.418964i
$645$	−2.70130	+	2.00130i	−0.106364	+	0.0788010i
$646$	1.19271	−	1.37646i	0.0469266	−	0.0541562i
$647$	−4.36752	+	20.0772i	−0.171705	+	0.789316i	0.808050	+	0.589114i	$0.200523\pi$
$647$	−4.36752	+	20.0772i	−0.171705	+	0.789316i	−0.979755	+	0.200201i	$0.935840\pi$
$648$	−5.11517	+	6.83306i	−0.200943	+	0.268428i
$649$	−1.41031	−	3.08815i	−0.0553596	−	0.121221i
$650$	−14.4364	−	6.76711i	−0.566242	−	0.265428i
$651$	0.225534	+	0.768097i	0.00883936	+	0.0301041i
$652$	−7.12939	+	1.55090i	−0.279208	+	0.0607381i
$653$	9.75600	−	3.63880i	0.381782	−	0.142397i	−0.151243	−	0.988497i	$-0.548328\pi$
$653$	9.75600	−	3.63880i	0.381782	−	0.142397i	0.533025	+	0.846099i	$0.321055\pi$
$654$	−1.19871	−	0.351972i	−0.0468732	−	0.0137632i
$655$	−10.7576	−	2.39624i	−0.420336	−	0.0936288i
$656$	5.69568	+	6.57317i	0.222379	+	0.256639i
$657$	−14.8815	+	8.12590i	−0.580582	+	0.317022i
$658$	8.33407	+	22.3445i	0.324896	+	0.871080i
$659$	17.3537	+	11.1525i	0.676004	+	0.434442i	0.833086	−	0.553144i	$-0.186572\pi$
$659$	17.3537	+	11.1525i	0.676004	+	0.434442i	−0.157081	+	0.987586i	$0.550208\pi$
$660$	0.823989	−	0.114295i	0.0320737	−	0.00444892i
$661$	−29.0040	−	4.17015i	−1.12813	−	0.162200i	−0.447118	−	0.894475i	$-0.647549\pi$
$661$	−29.0040	−	4.17015i	−1.12813	−	0.162200i	−0.681009	+	0.732275i	$0.738459\pi$
$662$	−18.2159	−	6.79418i	−0.707981	−	0.264063i
$663$	−0.520149	−	0.389378i	−0.0202009	−	0.0151222i
$664$	0.523479	−	0.336420i	0.0203149	−	0.0130556i
$665$	−8.21885	+	7.05046i	−0.318713	+	0.273405i
$666$		−	27.4845i		−	1.06500i
$667$	4.49612	−	28.5864i	0.174090	−	1.10687i
$668$	−11.0898	−	11.0898i	−0.429078	−	0.429078i
$669$	0.291354	+	0.252460i	0.0112644	+	0.00976067i
$670$	1.51438	−	3.99939i	0.0585056	−	0.154510i
$671$	−0.0338925	−	0.235727i	−0.00130840	−	0.00910015i
$672$	−0.189333	+	0.507622i	−0.00730369	+	0.0195819i
$673$	1.54822	−	1.15899i	0.0596796	−	0.0446756i	−0.569021	−	0.822323i	$-0.692678\pi$
$673$	1.54822	−	1.15899i	0.0596796	−	0.0446756i	0.628701	+	0.777647i	$0.283587\pi$
$674$	−11.3693	+	3.33832i	−0.437928	+	0.128587i
$675$	0.550522	−	6.75324i	0.0211896	−	0.259932i
$676$	−1.17640	+	2.57596i	−0.0452462	+	0.0990753i
$677$	−6.17933	−	11.3166i	−0.237491	−	0.434932i	0.731565	−	0.681771i	$-0.238790\pi$
$677$	−6.17933	−	11.3166i	−0.237491	−	0.434932i	−0.969057	+	0.246839i	$0.920608\pi$
$678$	1.96797	+	0.140752i	0.0755794	+	0.00540554i
$679$	11.2496	−	9.74779i	0.431718	−	0.374086i
$680$	−0.689568	−	1.87725i	−0.0264437	−	0.0719891i
$681$	2.86164	+	1.30687i	0.109658	+	0.0500792i
$682$	0.512879	+	2.35767i	0.0196392	+	0.0902798i
$683$	−18.2030	−	9.93960i	−0.696519	−	0.380328i	0.0916464	−	0.995792i	$-0.470787\pi$
$683$	−18.2030	−	9.93960i	−0.696519	−	0.380328i	−0.788165	+	0.615463i	$0.788969\pi$
$684$	−0.854392	+	5.94242i	−0.0326685	+	0.227214i
$685$	−11.4634	−	39.7709i	−0.437993	−	1.51957i
$686$	19.6425	−	2.82417i	0.749955	−	0.107827i
$687$	5.15313	+	1.12100i	0.196604	+	0.0427687i
$688$	−0.470785	−	6.58243i	−0.0179485	−	0.250953i
$689$	−27.5381			−1.04912
$690$	1.92892	+	1.49943i	0.0734326	+	0.0570823i
$691$	−38.2801			−1.45624			−0.728121	−	0.685449i	$-0.759606\pi$
$691$	−38.2801			−1.45624			−0.728121	+	0.685449i	$0.759606\pi$
$692$	−1.08796	−	15.2116i	−0.0413580	−	0.578260i
$693$	11.1865	+	2.43348i	0.424942	+	0.0924404i
$694$	−16.5428	+	2.37849i	−0.627955	+	0.0902863i
$695$	−11.8520	+	21.4512i	−0.449573	+	0.813690i
$696$	−0.195639	+	1.36070i	−0.00741567	+	0.0515771i
$697$	6.82737	+	3.72803i	0.258605	+	0.141209i
$698$	2.03667	+	9.36244i	0.0770893	+	0.354374i
$699$	−0.0965707	−	0.0441024i	−0.00365264	−	0.00166810i
$700$	2.41185	+	11.6431i	0.0911593	+	0.440068i
$701$	−14.9391	+	12.9448i	−0.564240	+	0.488917i	−0.889642	−	0.456659i	$-0.849046\pi$
$701$	−14.9391	+	12.9448i	−0.564240	+	0.488917i	0.325402	+	0.945576i	$0.394501\pi$
$702$	4.31015	+	0.308268i	0.162676	+	0.0116348i
$703$	−9.09857	−	16.6628i	−0.343159	−	0.628449i
$704$	−0.678351	+	1.48538i	−0.0255663	+	0.0559825i
$705$	−5.09754	+	0.339128i	−0.191985	+	0.0127723i
$706$	8.15869	−	2.39561i	0.307056	−	0.0901599i
$707$	14.3795	−	10.7644i	0.540797	−	0.404836i
$708$	−0.165526	+	0.443792i	−0.00622084	+	0.0166787i
$709$	−0.893820	−	6.21665i	−0.0335681	−	0.233471i	0.966130	−	0.258057i	$-0.0830823\pi$
$709$	−0.893820	−	6.21665i	−0.0335681	−	0.233471i	−0.999698	+	0.0245860i	$0.992173\pi$
$710$	7.90555	+	17.5409i	0.296690	+	0.658299i
$711$	8.44766	+	7.31994i	0.316812	+	0.274519i
$712$	−11.1065	−	11.1065i	−0.416232	−	0.416232i
$713$	−3.90947	+	5.91020i	−0.146411	+	0.221339i
$714$			0.484557i			0.0181341i
$715$	7.58095	+	8.83725i	0.283511	+	0.330494i
$716$	−8.98746	+	5.77589i	−0.335877	+	0.215855i
$717$	4.41318	+	3.30367i	0.164813	+	0.123378i
$718$	−20.1539	−	7.51700i	−0.752136	−	0.280532i
$719$	−24.3367	−	3.49909i	−0.907606	−	0.130494i	−0.327327	−	0.944911i	$-0.606148\pi$
$719$	−24.3367	−	3.49909i	−0.907606	−	0.130494i	−0.580280	+	0.814417i	$0.697057\pi$
$720$	5.25758	+	3.97670i	0.195939	+	0.148203i
$721$	21.7330	+	13.9670i	0.809379	+	0.520157i
$722$	−5.19060	−	13.9165i	−0.193174	−	0.517920i
$723$	1.74790	−	0.954427i	0.0650052	−	0.0354955i
$724$	13.0095	+	15.0137i	0.483493	+	0.557981i
$725$	12.2596	+	27.5666i	0.455310	+	1.02380i
$726$	1.82167	+	0.534891i	0.0676086	+	0.0198517i
$727$	−1.71532	+	0.639781i	−0.0636177	+	0.0237282i	−0.381072	−	0.924546i	$-0.624445\pi$
$727$	−1.71532	+	0.639781i	−0.0636177	+	0.0237282i	0.317454	+	0.948274i	$0.397172\pi$
$728$	−7.40973	+	1.61189i	−0.274623	+	0.0597406i
$729$	−6.82847	−	23.2556i	−0.252906	−	0.861320i
$730$	6.10715	+	11.3178i	0.226036	+	0.418890i
$731$	−2.45187	−	5.36885i	−0.0906857	−	0.198574i
$732$	−0.0199118	+	0.0265991i	−0.000735962	+	0.000983130i
$733$	2.69650	−	12.3956i	0.0995975	−	0.457843i	−0.900154	−	0.435571i	$-0.856547\pi$
$733$	2.69650	−	12.3956i	0.0995975	−	0.457843i	0.999752	−	0.0222716i	$-0.00708985\pi$
$734$	6.03053	−	6.95960i	0.222591	−	0.256884i
$735$	−0.100871	+	0.677646i	−0.00372067	+	0.0249953i
$736$	−4.51519	+	1.61650i	−0.166432	+	0.0595848i
$737$	−2.20832	+	2.20832i	−0.0813444	+	0.0813444i
$738$	−25.5759	+	1.82922i	−0.941461	+	0.0673346i
$739$	−0.425705	−	0.662410i	−0.0156598	−	0.0243672i	0.833335	−	0.552768i	$-0.186428\pi$
$739$	−0.425705	−	0.662410i	−0.0156598	−	0.0243672i	−0.848995	+	0.528401i	$0.822792\pi$
$740$	−20.8462	−	0.103607i	−0.766320	−	0.00380868i
$741$	1.34572	−	0.614569i	0.0494362	−	0.0225767i
$742$	12.3073	+	16.4407i	0.451816	+	0.603556i
$743$	12.1693	−	22.2863i	0.446447	−	0.817607i	−0.553436	−	0.832892i	$-0.686684\pi$
$743$	12.1693	−	22.2863i	0.446447	−	0.817607i	0.999883	+	0.0152850i	$0.00486554\pi$
$744$	0.181996	−	0.283191i	0.00667229	−	0.0103823i
$745$	6.38828	+	30.0856i	0.234049	+	1.10225i
$746$	−0.555641	+	1.89234i	−0.0203435	+	0.0692835i
$747$	−0.130871	+	1.82981i	−0.00478831	+	0.0669493i
$748$	−0.104189	+	1.45675i	−0.00380953	+	0.0532641i
$749$	−12.8355	+	43.7138i	−0.469000	+	1.59727i
$750$	−2.53768	−	0.219573i	−0.0926631	−	0.00801767i
$751$	23.6134	−	36.7432i	0.861666	−	1.34078i	−0.0773857	−	0.997001i	$-0.524657\pi$
$751$	23.6134	−	36.7432i	0.861666	−	1.34078i	0.939051	−	0.343777i	$-0.111706\pi$
$752$	4.80611	−	8.80174i	0.175261	−	0.320966i
$753$	0.430266	+	0.574767i	0.0156797	+	0.0209457i
$754$	−17.5020	+	7.99292i	−0.637387	+	0.291085i
$755$	−32.5079	−	32.8326i	−1.18308	−	1.19490i
$756$	−1.74225	−	2.71100i	−0.0633651	−	0.0985980i
$757$	−10.9077	+	0.780136i	−0.396448	+	0.0283545i	−0.268140	−	0.963380i	$-0.586409\pi$
$757$	−10.9077	+	0.780136i	−0.396448	+	0.0283545i	−0.128308	+	0.991734i	$0.540955\pi$
$758$	−2.58782	+	2.58782i	−0.0939939	+	0.0939939i
$759$	−0.834316	−	1.57709i	−0.0302838	−	0.0572448i
$760$	4.50393	+	0.670431i	0.163375	+	0.0243191i
$761$	−33.3763	+	38.5183i	−1.20989	+	1.39629i	−0.315542	+	0.948912i	$0.602186\pi$
$761$	−33.3763	+	38.5183i	−1.20989	+	1.39629i	−0.894347	+	0.447374i	$0.852359\pi$
$762$	−0.971500	+	4.46591i	−0.0351937	+	0.161783i
$763$	−7.81482	+	10.4394i	−0.282916	+	0.377931i
$764$	10.3944	+	22.7605i	0.376055	+	0.823445i
$765$	5.64872	+	1.68915i	0.204230	+	0.0610714i
$766$	4.23515	+	14.4236i	0.153022	+	0.521146i
$767$	−6.47800	+	1.40920i	−0.233907	+	0.0508834i
$768$	0.213461	−	0.0796168i	0.00770261	−	0.00287293i
$769$	22.2120	+	6.52202i	0.800984	+	0.235190i	0.656509	−	0.754318i	$-0.272032\pi$
$769$	22.2120	+	6.52202i	0.800984	+	0.235190i	0.144475	+	0.989508i	$0.453851\pi$
$770$	1.88789	−	8.47548i	0.0680349	−	0.305435i
$771$	0.0351071	+	0.0405157i	0.00126435	+	0.00145914i
$772$	0.437386	−	0.238831i	0.0157419	−	0.00859570i
$773$	4.19387	+	11.2442i	0.150843	+	0.404426i	0.990290	−	0.139015i	$-0.0443938\pi$
$773$	4.19387	+	11.2442i	0.150843	+	0.404426i	−0.839447	+	0.543441i	$0.817121\pi$
$774$	16.3668	+	10.5183i	0.588291	+	0.378072i
$775$	0.0734351	−	7.38752i	0.00263787	−	0.265368i
$776$	−6.19573	−	0.890811i	−0.222414	−	0.0319782i
$777$	4.73246	+	1.76512i	0.169776	+	0.0633232i
$778$	24.2303	+	18.1386i	0.868697	+	0.650299i
$779$	−14.9001	+	9.57571i	−0.533851	+	0.343085i
$780$	0.123939	−	1.61972i	0.00443773	−	0.0579953i
$781$		−	14.0506i		−	0.502770i
$782$	−3.27843	+	2.76584i	−0.117236	+	0.0989062i
$783$	−5.78186	−	5.78186i	−0.206627	−	0.206627i
$784$	−1.01637	−	0.880691i	−0.0362990	−	0.0314532i
$785$	0.620123	−	0.279484i	0.0221332	−	0.00997523i
$786$	−0.159808	−	1.11149i	−0.00570018	−	0.0396456i
$787$	12.5255	−	33.5821i	0.446485	−	1.19707i	−0.497611	−	0.867400i	$-0.665789\pi$
$787$	12.5255	−	33.5821i	0.446485	−	1.19707i	0.944096	−	0.329672i	$-0.106938\pi$
$788$	−8.83494	+	6.61375i	−0.314732	+	0.235605i
$789$	−3.43550	+	1.00875i	−0.122307	+	0.0359126i
$790$	5.58380	−	6.37970i	0.198663	−	0.226980i
$791$	8.55516	−	18.7332i	0.304186	−	0.666075i
$792$	−2.30715	−	4.22522i	−0.0819809	−	0.150137i
$793$	−0.463867	−	0.0331764i	−0.0164724	−	0.00117813i
$794$	14.8003	−	12.8245i	0.525242	−	0.455124i
$795$	−4.12968	+	1.51695i	−0.146465	+	0.0538008i
$796$	−18.0510	−	8.24363i	−0.639802	−	0.292188i
$797$	−0.503350	−	2.31386i	−0.0178296	−	0.0819613i	0.967372	−	0.253359i	$-0.0815354\pi$
$797$	−0.503350	−	2.31386i	−0.0178296	−	0.0819613i	−0.985202	+	0.171398i	$0.945172\pi$
$798$	−0.968334	−	0.528750i	−0.0342787	−	0.0187176i
$799$	1.27645	−	8.87791i	0.0451576	−	0.314078i
$800$	3.03603	−	3.97272i	0.107340	−	0.140457i
$801$	45.8342	−	6.58996i	1.61947	−	0.232845i
$802$	−5.30742	−	1.15456i	−0.187411	−	0.0407689i
$803$	−0.669992	−	9.36771i	−0.0236435	−	0.330579i
$804$	0.435718			0.0153666
$805$	21.7005	−	13.3952i	0.764842	−	0.472118i
$806$	4.71163			0.165960
$807$	−0.427280	−	5.97415i	−0.0150410	−	0.210300i
$808$	−7.38072	−	1.60558i	−0.259653	−	0.0564840i
$809$	36.9209	−	5.30842i	1.29807	−	0.186634i	0.541584	−	0.840646i	$-0.317825\pi$
$809$	36.9209	−	5.30842i	1.29807	−	0.186634i	0.756484	+	0.654012i	$0.226916\pi$
$810$	−18.3395	+	5.28609i	−0.644383	+	0.185734i
$811$	7.68068	−	53.4203i	0.269705	−	1.87584i	−0.181458	−	0.983399i	$-0.558082\pi$
$811$	7.68068	−	53.4203i	0.269705	−	1.87584i	0.451163	−	0.892441i	$-0.351009\pi$
$812$	12.5939	+	6.87679i	0.441959	+	0.241328i
$813$	1.29933	+	5.97294i	0.0455696	+	0.209480i
$814$	13.8479	+	6.32414i	0.485370	+	0.221661i
$815$	−14.8065	−	6.85102i	−0.518647	−	0.239981i
$816$	0.153993	−	0.133436i	0.00539084	−	0.00467119i
$817$	13.4045	+	0.958711i	0.468965	+	0.0335411i
$818$	12.9530	+	23.7217i	0.452892	+	0.829410i
$819$	9.28681	−	20.3353i	0.324507	−	0.710572i
$820$	1.29100	+	19.4054i	0.0450836	+	0.677666i
$821$	−14.4262	+	4.23592i	−0.503479	+	0.147835i	−0.523602	−	0.851963i	$-0.675412\pi$
$821$	−14.4262	+	4.23592i	−0.503479	+	0.147835i	0.0201234	+	0.999798i	$0.493594\pi$
$822$	3.37595	−	2.52721i	0.117750	−	0.0881464i
$823$	−14.0941	+	37.7877i	−0.491289	+	1.31720i	0.420780	+	0.907163i	$0.361756\pi$
$823$	−14.0941	+	37.7877i	−0.491289	+	1.31720i	−0.912070	+	0.410035i	$0.865516\pi$
$824$	−1.54604	−	10.7530i	−0.0538589	−	0.374597i
$825$	1.62366	+	0.907652i	0.0565286	+	0.0316004i
$826$	3.73646	+	3.23766i	0.130008	+	0.112653i
$827$	−25.2085	−	25.2085i	−0.876587	−	0.876587i	0.116593	−	0.993180i	$-0.462803\pi$
$827$	−25.2085	−	25.2085i	−0.876587	−	0.876587i	−0.993180	+	0.116593i	$0.962803\pi$
$828$	4.16207	−	13.5121i	0.144642	−	0.469577i
$829$			24.7323i			0.858987i	0.903070	+	0.429494i	$0.141308\pi$
$829$			24.7323i			0.858987i	−0.903070	+	0.429494i	$0.858692\pi$
$830$	1.38736	+	0.106159i	0.0481561	+	0.00368484i
$831$	3.60616	−	2.31754i	0.125096	−	0.0803944i
$832$	2.55273	+	1.91095i	0.0884999	+	0.0662502i
$833$	−1.12697	−	0.420337i	−0.0390471	−	0.0145638i
$834$	−2.47158	−	0.355360i	−0.0855840	−	0.0123051i
$835$	−4.81827	−	34.7365i	−0.166743	−	1.20211i
$836$	−2.79747	−	1.79782i	−0.0967524	−	0.0621790i
$837$	0.699734	+	1.87606i	0.0241864	+	0.0648461i
$838$	20.4409	−	11.1616i	0.706119	−	0.385570i
$839$	24.7649	+	28.5802i	0.854978	+	0.986697i	0.999996	−	0.00273155i	$-0.000869480\pi$
$839$	24.7649	+	28.5802i	0.854978	+	0.986697i	−0.145018	+	0.989429i	$0.546324\pi$
$840$	−1.02239	+	0.649892i	−0.0352757	+	0.0224234i
$841$	7.10858	+	2.08727i	0.245123	+	0.0719747i
$842$	14.7916	−	5.51699i	0.509753	−	0.190128i
$843$	2.45890	−	0.534901i	0.0846890	−	0.0184230i
$844$	0.674544	+	2.29729i	0.0232188	+	0.0790758i
$845$	−5.57269	+	3.00706i	−0.191707	+	0.103446i
$846$	12.2816	+	26.8930i	0.422252	+	0.924602i
$847$	11.8762	−	15.8647i	0.408070	−	0.545118i
$848$	1.83572	−	8.43866i	0.0630388	−	0.289785i
$849$	−2.70379	+	3.12034i	−0.0927938	+	0.107090i
$850$	1.30246	−	4.27801i	0.0446742	−	0.146735i
$851$	15.0703	+	42.0942i	0.516602	+	1.44297i
$852$	−1.38615	+	1.38615i	−0.0474887	+	0.0474887i
$853$	10.7538	−	0.769130i	0.368204	−	0.0263345i	0.113989	−	0.993482i	$-0.463637\pi$
$853$	10.7538	−	0.769130i	0.368204	−	0.0263345i	0.254216	+	0.967148i	$0.418183\pi$
$854$	0.187504	+	0.291763i	0.00641627	+	0.00998391i
$855$	−9.53948	+	9.44512i	−0.326243	+	0.323016i
$856$	17.4269	−	7.95860i	0.595639	−	0.272019i
$857$	4.17655	+	5.57921i	0.142668	+	0.190582i	0.866184	−	0.499726i	$-0.166566\pi$
$857$	4.17655	+	5.57921i	0.142668	+	0.190582i	−0.723516	+	0.690308i	$0.757475\pi$
$858$	−0.568534	+	1.04119i	−0.0194094	+	0.0355457i
$859$	22.0934	−	34.3781i	0.753818	−	1.17296i	−0.226205	−	0.974080i	$-0.572632\pi$
$859$	22.0934	−	34.3781i	0.753818	−	1.17296i	0.980023	−	0.198884i	$-0.0637318\pi$
$860$	8.03949	−	12.3740i	0.274144	−	0.421951i
$861$	1.32757	−	4.52130i	0.0452435	−	0.154085i
$862$	−0.531148	+	7.42642i	−0.0180910	+	0.252945i
$863$	1.36811	−	19.1287i	0.0465711	−	0.651150i	−0.919536	−	0.393007i	$-0.871435\pi$
$863$	1.36811	−	19.1287i	0.0465711	−	0.651150i	0.966107	−	0.258143i	$-0.0831105\pi$
$864$	−0.381784	+	1.30024i	−0.0129885	+	0.0442349i
$865$	18.5788	−	28.5957i	0.631699	−	0.972284i
$866$	7.27648	−	11.3224i	0.247265	−	0.384751i
$867$	−1.76881	+	3.23933i	−0.0600719	+	0.110013i
$868$	−2.10572	−	2.81291i	−0.0714728	−	0.0954764i
$869$	−5.63191	+	2.57201i	−0.191049	+	0.0872493i
$870$	−2.18435	+	2.16275i	−0.0740564	+	0.0733240i
$871$	3.29711	+	5.13040i	0.111718	+	0.173837i
$872$	5.46967	−	0.391198i	0.185226	−	0.0132477i
$873$	13.0485	−	13.0485i	0.441626	−	0.441626i
$874$	−1.94979	−	9.56967i	−0.0659526	−	0.323699i
$875$	−11.4042	+	24.0175i	−0.385532	+	0.811938i
$876$	−0.858065	+	0.990260i	−0.0289913	+	0.0334578i
$877$	−10.0141	+	46.0342i	−0.338153	+	1.55446i	0.423146	+	0.906062i	$0.360926\pi$
$877$	−10.0141	+	46.0342i	−0.338153	+	1.55446i	−0.761298	+	0.648402i	$0.775438\pi$
$878$	3.31407	−	4.42708i	0.111844	−	0.149407i
$879$	−1.49226	−	3.26758i	−0.0503325	−	0.110213i
$880$	−3.21340	+	1.73397i	−0.108324	+	0.0584522i
$881$	9.39552	+	31.9982i	0.316543	+	1.07805i	0.952048	+	0.305950i	$0.0989740\pi$
$881$	9.39552	+	31.9982i	0.316543	+	1.07805i	−0.635504	+	0.772097i	$0.719208\pi$
$882$	3.87414	−	0.842768i	0.130449	−	0.0283775i
$883$	−28.2028	+	10.5191i	−0.949099	+	0.353995i	−0.775875	−	0.630887i	$-0.782691\pi$
$883$	−28.2028	+	10.5191i	−0.949099	+	0.353995i	−0.173224	+	0.984882i	$0.555418\pi$
$884$	2.73642	+	0.803487i	0.0920359	+	0.0270242i
$885$	−0.893829	+	0.568172i	−0.0300457	+	0.0190989i
$886$	−19.3111	−	22.2862i	−0.648770	−	0.748721i
$887$	−0.207564	+	0.113339i	−0.00696933	+	0.00380554i	−0.482730	−	0.875769i	$-0.660355\pi$
$887$	−0.207564	+	0.113339i	−0.00696933	+	0.00380554i	0.475761	+	0.879575i	$0.342173\pi$
$888$	−0.742252	−	1.99005i	−0.0249083	−	0.0667819i
$889$	40.1326	+	25.7916i	1.34600	+	0.865024i
$890$	−4.82550	−	34.7886i	−0.161751	−	1.16612i
$891$	13.7963	+	1.98360i	0.462192	+	0.0664532i
$892$	−1.58547	−	0.591349i	−0.0530854	−	0.0197998i
$893$	16.3486	+	12.2384i	0.547086	+	0.409544i
$894$	−2.63620	+	1.69418i	−0.0881678	+	0.0566620i
$895$	−23.8192	−	1.82261i	−0.796188	−	0.0609233i
$896$		−	2.37806i		−	0.0794453i
$897$	−3.35561	+	0.937352i	−0.112041	+	0.0312973i
$898$	1.01427	+	1.01427i	0.0338465	+	0.0338465i
$899$	−6.73799	−	5.83851i	−0.224725	−	0.194725i
$900$	4.01208	+	14.1840i	0.133736	+	0.472799i
$901$	−1.09922	−	7.64525i	−0.0366204	−	0.254700i
$902$	4.96332	−	13.3072i	0.165260	−	0.443080i
$903$	−2.86222	+	2.14263i	−0.0952486	+	0.0713022i
$904$	−8.30932	+	2.43984i	−0.276364	+	0.0811478i
$905$	2.94876	+	44.3238i	0.0980200	+	1.47337i
$906$	1.95556	−	4.28209i	0.0649693	−	0.142263i
$907$	4.72462	+	8.65249i	0.156878	+	0.287301i	0.944283	−	0.329136i	$-0.106757\pi$
$907$	4.72462	+	8.65249i	0.156878	+	0.287301i	−0.787404	+	0.616437i	$0.788576\pi$
$908$	−13.7733	−	0.985087i	−0.457084	−	0.0326913i
$909$	16.8290	−	14.5824i	0.558182	−	0.483668i
$910$	−15.3887	−	7.12042i	−0.510129	−	0.236039i
$911$	16.9932	+	7.76055i	0.563011	+	0.257118i	0.676527	−	0.736418i	$-0.263484\pi$
$911$	16.9932	+	7.76055i	0.563011	+	0.257118i	−0.113516	+	0.993536i	$0.536211\pi$
$912$	0.0986188	+	0.453343i	0.00326560	+	0.0150117i
$913$	−0.891828	−	0.486975i	−0.0295152	−	0.0161165i
$914$	0.227048	−	1.57915i	0.00751008	−	0.0522338i
$915$	−0.0713900	+	0.0205772i	−0.00236008	+	0.000680260i
$916$	−22.9122	+	3.29427i	−0.757039	+	0.108846i
$917$	−11.4533	−	2.49151i	−0.378220	−	0.0822767i
$918$	0.0864628	+	1.20891i	0.00285370	+	0.0398999i
$919$	50.9405			1.68037			0.840186	−	0.542299i	$-0.182446\pi$
$919$	50.9405			1.68037			0.840186	+	0.542299i	$0.182446\pi$
$920$	−10.2328	−	3.20774i	−0.337366	−	0.105756i
$921$	−4.49815			−0.148219
$922$	0.487253	+	6.81269i	0.0160468	+	0.224364i
$923$	−26.8104	−	5.83224i	−0.882474	−	0.191971i
$924$	0.875697	−	0.125906i	0.0288083	−	0.00414201i
$925$	−37.0369	−	28.3043i	−1.21777	−	0.930639i
$926$	4.32176	−	30.0585i	0.142022	−	0.987784i
$927$	28.1092	+	15.3488i	0.923226	+	0.504120i
$928$	−1.28261	−	5.89607i	−0.0421038	−	0.193548i
$929$	42.0041	+	19.1826i	1.37811	+	0.629361i	0.960248	−	0.279149i	$-0.0900524\pi$
$929$	42.0041	+	19.1826i	1.37811	+	0.629361i	0.417862	+	0.908511i	$0.362780\pi$
$930$	0.706566	−	0.259543i	0.0231692	−	0.00851074i
$931$	2.06975	−	1.79345i	0.0678333	−	0.0587779i
$932$	0.464804	+	0.0332434i	0.0152251	+	0.00108892i
$933$	−3.75471	−	6.87623i	−0.122924	−	0.225118i
$934$	16.0526	−	35.1503i	0.525257	−	1.15015i
$935$	−2.15083	+	2.45741i	−0.0703397	+	0.0803657i
$936$	−9.01995	+	2.64850i	−0.294826	+	0.0865688i
$937$	−20.5550	+	15.3873i	−0.671503	+	0.502681i	−0.879775	−	0.475390i	$-0.842307\pi$
$937$	−20.5550	+	15.3873i	−0.671503	+	0.502681i	0.208272	+	0.978071i	$0.433216\pi$
$938$	1.58938	−	4.26130i	0.0518952	−	0.139136i
$939$	0.104914	+	0.729690i	0.00342372	+	0.0238125i
$940$	20.4439	−	9.21387i	0.666805	−	0.300523i
$941$	−16.8453	−	14.5965i	−0.549140	−	0.475833i	0.335543	−	0.942025i	$-0.391080\pi$
$941$	−16.8453	−	14.5965i	−0.549140	−	0.475833i	−0.884684	+	0.466192i	$0.845626\pi$
$942$	0.0490044	+	0.0490044i	0.00159665	+	0.00159665i
$943$	38.1680	−	16.8253i	1.24292	−	0.547907i
$944$		−	2.07903i		−	0.0676666i
$945$	0.549778	−	7.18488i	0.0178843	−	0.233724i
$946$	−9.06555	+	5.82607i	−0.294746	+	0.189422i
$947$	18.8123	+	14.0827i	0.611319	+	0.457628i	0.859535	−	0.511077i	$-0.170753\pi$
$947$	18.8123	+	14.0827i	0.611319	+	0.457628i	−0.248216	+	0.968705i	$0.579844\pi$
$948$	0.809349	+	0.301871i	0.0262864	+	0.00980433i
$949$	−18.1529	−	2.60999i	−0.589269	−	0.0847240i
$950$	7.12788	+	7.27101i	0.231259	+	0.235903i
$951$	3.02363	+	1.94317i	0.0980479	+	0.0630115i
$952$	−0.743268	−	1.99278i	−0.0240895	−	0.0645864i
$953$	−51.3827	+	28.0571i	−1.66445	+	0.908858i	−0.679995	+	0.733217i	$0.738018\pi$
$953$	−51.3827	+	28.0571i	−1.66445	+	0.908858i	−0.984454	+	0.175642i	$0.943800\pi$
$954$	16.6726	+	19.2412i	0.539796	+	0.622958i
$955$	−12.1646	+	54.6116i	−0.393637	+	1.76719i
$956$	−23.2171	−	6.81715i	−0.750894	−	0.220482i
$957$	2.10326	−	0.784477i	0.0679888	−	0.0253585i
$958$	37.1929	−	8.09082i	1.20165	−	0.261402i
$959$	−12.4014	−	42.2351i	−0.400461	−	1.36384i
$960$	0.488078	+	0.145951i	0.0157527	+	0.00471056i
$961$	−11.9709	−	26.2127i	−0.386159	−	0.845569i
$962$	17.8154	−	23.7986i	0.574391	−	0.767297i
$963$	−12.0057	+	55.1894i	−0.386879	+	1.77845i
$964$	−5.72438	+	6.60628i	−0.184370	+	0.212774i
$965$	1.10219	+	0.164066i	0.0354806	+	0.00528146i
$966$	2.05930	+	1.58443i	0.0662569	+	0.0509781i
$967$	−31.9414	+	31.9414i	−1.02717	+	1.02717i	−0.0275449	+	0.999621i	$0.508769\pi$
$967$	−31.9414	+	31.9414i	−1.02717	+	1.02717i	−0.999621	+	0.0275449i	$0.991231\pi$
$968$	−8.31225	+	0.594504i	−0.267166	+	0.0191081i
$969$	0.224335	+	0.349072i	0.00720668	+	0.0112138i
$970$	−9.84773	−	9.94611i	−0.316192	−	0.319350i
$971$	48.6665	−	22.2253i	1.56178	−	0.713243i	0.567840	−	0.823139i	$-0.307779\pi$
$971$	48.6665	−	22.2253i	1.56178	−	0.713243i	0.993943	+	0.109896i	$0.0350518\pi$
$972$	−3.60166	−	4.81125i	−0.115523	−	0.154321i
$973$	−12.4911	+	22.8757i	−0.400445	+	0.733361i
$974$	2.75276	−	4.28337i	0.0882040	−	0.137248i
$975$	2.40588	−	2.72140i	0.0770499	−	0.0871545i
$976$	0.0410882	−	0.139934i	0.00131520	−	0.00447917i
$977$	−3.47950	+	48.6497i	−0.111319	+	1.55644i	0.568265	+	0.822846i	$0.307615\pi$
$977$	−3.47950	+	48.6497i	−0.111319	+	1.55644i	−0.679584	+	0.733598i	$0.737840\pi$
$978$	0.118583	−	1.65801i	0.00379187	−	0.0530173i
$979$	−7.22604	+	24.6096i	−0.230945	+	0.786527i
$980$	−0.624610	−	2.94160i	−0.0199524	−	0.0939659i
$981$	−8.74016	+	13.6000i	−0.279052	+	0.434213i
$982$	−15.0223	+	27.5113i	−0.479382	+	0.877922i
$983$	14.2341	+	19.0146i	0.453998	+	0.606471i	0.967887	−	0.251386i	$-0.0808864\pi$
$983$	14.2341	+	19.0146i	0.453998	+	0.606471i	−0.513889	+	0.857857i	$0.671796\pi$
$984$	−1.80246	+	0.823154i	−0.0574602	+	0.0262412i
$985$	−24.6774	−	0.122649i	−0.786287	−	0.00390792i
$986$	−2.91764	−	4.53994i	−0.0929167	−	0.144581i
$987$	−5.41937	+	0.387601i	−0.172501	+	0.0123375i
$988$	−4.59167	+	4.59167i	−0.146081	+	0.146081i
$989$	−30.8341	−	7.13519i	−0.980467	−	0.226886i
$990$	1.58490	−	10.6473i	0.0503715	−	0.338394i
$991$	13.8200	−	15.9491i	0.439005	−	0.506639i	−0.492527	−	0.870297i	$-0.663927\pi$
$991$	13.8200	−	15.9491i	0.439005	−	0.506639i	0.931533	+	0.363658i	$0.118472\pi$
$992$	−0.314082	+	1.44381i	−0.00997210	+	0.0458410i
$993$	2.65439	−	3.54585i	0.0842345	−	0.112524i
$994$	8.50015	+	18.6127i	0.269608	+	0.590360i
$995$	−21.0720	−	39.0507i	−0.668028	−	1.23799i
$996$	0.0399404	+	0.136024i	0.00126556	+	0.00431010i
$997$	53.7506	−	11.6927i	1.70230	−	0.370312i	0.746741	−	0.665115i	$-0.231618\pi$
$997$	53.7506	−	11.6927i	1.70230	−	0.370312i	0.955558	+	0.294803i	$0.0952540\pi$
$998$	7.73906	−	2.88652i	0.244976	−	0.0913712i
$999$	12.1218	+	3.55929i	0.383518	+	0.112611i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.53.4	yes	240
5.2	odd	4	inner	230.2.l.a.7.10	✓	240
23.10	odd	22	inner	230.2.l.a.33.10	yes	240
115.102	even	44	inner	230.2.l.a.217.4	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.7.10	✓	240	5.2	odd	4	inner
230.2.l.a.33.10	yes	240	23.10	odd	22	inner
230.2.l.a.53.4	yes	240	1.1	even	1	trivial
230.2.l.a.217.4	yes	240	115.102	even	44	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

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

\(f(q)\)	\(=\)	\(q+(-0.0713392 - 0.997452i) q^{2} +(0.222619 + 0.0484278i) q^{3} +(-0.989821 + 0.142315i) q^{4} +(-1.95720 - 1.08137i) q^{5} +(0.0324229 - 0.225507i) q^{6} +(-2.08717 - 1.13968i) q^{7} +(0.212565 + 0.977147i) q^{8} +(-2.68168 - 1.22468i) q^{9} +(-0.938994 + 2.02936i) q^{10} +(1.23410 - 1.06935i) q^{11} +(-0.227245 - 0.0162529i) q^{12} +(-1.52821 - 2.79870i) q^{13} +(-0.987880 + 2.16316i) q^{14} +(-0.383341 - 0.335517i) q^{15} +(0.959493 - 0.281733i) q^{16} +(0.715986 - 0.535981i) q^{17} +(-1.03025 + 2.76222i) q^{18} +(0.289811 + 2.01568i) q^{19} +(2.09117 + 0.791829i) q^{20} +(-0.409451 - 0.354791i) q^{21} +(-1.15467 - 1.15467i) q^{22} +(0.0633219 - 4.79541i) q^{23} +0.227825i q^{24} +(2.66126 + 4.23293i) q^{25} +(-2.68255 + 1.72397i) q^{26} +(-1.08484 - 0.812098i) q^{27} +(2.22812 + 0.831045i) q^{28} +(5.97254 + 0.858722i) q^{29} +(-0.307315 + 0.406300i) q^{30} +(-1.24302 - 0.798839i) q^{31} +(-0.349464 - 0.936950i) q^{32} +(0.326521 - 0.178294i) q^{33} +(-0.585693 - 0.675926i) q^{34} +(2.85259 + 4.48759i) q^{35} +(2.82868 + 0.830575i) q^{36} +(-8.73500 + 3.25799i) q^{37} +(1.98987 - 0.432870i) q^{38} +(-0.204673 - 0.697051i) q^{39} +(0.640629 - 2.14233i) q^{40} +(3.61309 + 7.91157i) q^{41} +(-0.324678 + 0.433719i) q^{42} +(1.40277 - 6.44843i) q^{43} +(-1.06935 + 1.23410i) q^{44} +(3.92425 + 5.29685i) q^{45} +(-4.78771 + 0.278940i) q^{46} +(7.09117 - 7.09117i) q^{47} +(0.227245 - 0.0162529i) q^{48} +(-0.727082 - 1.13136i) q^{49} +(4.03229 - 2.95645i) q^{50} +(0.185348 - 0.0846458i) q^{51} +(1.91095 + 2.55273i) q^{52} +(4.13880 - 7.57966i) q^{53} +(-0.732637 + 1.14001i) q^{54} +(-3.57175 + 0.758415i) q^{55} +(0.669976 - 2.28173i) q^{56} +(-0.0330975 + 0.462764i) q^{57} +(0.430458 - 6.01859i) q^{58} +(0.585730 - 1.99481i) q^{59} +(0.427188 + 0.277547i) q^{60} +(0.0788478 - 0.122690i) q^{61} +(-0.708128 + 1.29684i) q^{62} +(4.20138 + 5.61238i) q^{63} +(-0.909632 + 0.415415i) q^{64} +(-0.0354376 + 7.13018i) q^{65} +(-0.201133 - 0.312969i) q^{66} +(-1.90764 + 0.136437i) q^{67} +(-0.632421 + 0.632421i) q^{68} +(0.246328 - 1.06448i) q^{69} +(4.27266 - 3.16546i) q^{70} +(5.63471 - 6.50280i) q^{71} +(0.626663 - 2.88072i) q^{72} +(3.44665 - 4.60418i) q^{73} +(3.87283 + 8.48032i) q^{74} +(0.387456 + 1.07121i) q^{75} +(-0.573723 - 1.95392i) q^{76} +(-3.79450 + 0.825443i) q^{77} +(-0.680674 + 0.253878i) q^{78} +(-3.63797 - 1.06820i) q^{79} +(-2.18258 - 0.486164i) q^{80} +(5.58960 + 6.45074i) q^{81} +(7.63366 - 4.16829i) q^{82} +(-0.217458 - 0.583027i) q^{83} +(0.455776 + 0.292909i) q^{84} +(-1.98092 + 0.274772i) q^{85} +(-6.53208 - 0.939171i) q^{86} +(1.28802 + 0.480405i) q^{87} +(1.30724 + 0.978590i) q^{88} +(-13.2135 + 8.49180i) q^{89} +(5.00340 - 4.29212i) q^{90} +7.58303i q^{91} +(0.619781 + 4.75561i) q^{92} +(-0.238033 - 0.238033i) q^{93} +(-7.57898 - 6.56722i) q^{94} +(1.61249 - 4.25849i) q^{95} +(-0.0324229 - 0.225507i) q^{96} +(-2.18745 + 5.86478i) q^{97} +(-1.07661 + 0.805940i) q^{98} +(-4.61908 + 1.35629i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) \) 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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