LMFDB - Embedded newform 230.2.l.a.7.10

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			7.10
Character	$\chi$	$=$	230.7
Dual form			230.2.l.a.33.10

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.997452 - 0.0713392i) q^{2} +(0.0484278 - 0.222619i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-0.464445 + 2.18730i) q^{5} +(0.0324229 - 0.225507i) q^{6} +(1.13968 - 2.08717i) q^{7} +(0.977147 - 0.212565i) q^{8} +(2.68168 + 1.22468i) q^{9} +(-0.307222 + 2.21486i) q^{10} +(1.23410 - 1.06935i) q^{11} +(0.0162529 - 0.227245i) q^{12} +(-2.79870 + 1.52821i) q^{13} +(0.987880 - 2.16316i) q^{14} +(0.464443 + 0.209320i) q^{15} +(0.959493 - 0.281733i) q^{16} +(0.535981 + 0.715986i) q^{17} +(2.76222 + 1.03025i) q^{18} +(-0.289811 - 2.01568i) q^{19} +(-0.148432 + 2.23114i) q^{20} +(-0.409451 - 0.354791i) q^{21} +(1.15467 - 1.15467i) q^{22} +(-4.79541 - 0.0633219i) q^{23} -0.227825i q^{24} +(-4.56858 - 2.03176i) q^{25} +(-2.68255 + 1.72397i) q^{26} +(0.812098 - 1.08484i) q^{27} +(0.831045 - 2.22812i) q^{28} +(-5.97254 - 0.858722i) q^{29} +(0.478192 + 0.175654i) q^{30} +(-1.24302 - 0.798839i) q^{31} +(0.936950 - 0.349464i) q^{32} +(-0.178294 - 0.326521i) q^{33} +(0.585693 + 0.675926i) q^{34} +(4.03595 + 3.46220i) q^{35} +(2.82868 + 0.830575i) q^{36} +(-3.25799 - 8.73500i) q^{37} +(-0.432870 - 1.98987i) q^{38} +(0.204673 + 0.697051i) q^{39} +(0.0111133 + 2.23604i) q^{40} +(3.61309 + 7.91157i) q^{41} +(-0.433719 - 0.324678i) q^{42} +(-6.44843 - 1.40277i) 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} +(-0.0162529 - 0.227245i) q^{48} +(0.727082 + 1.13136i) q^{49} +(-4.70189 - 1.70067i) q^{50} +(0.185348 - 0.0846458i) q^{51} +(-2.55273 + 1.91095i) q^{52} +(-7.57966 - 4.13880i) q^{53} +(0.732637 - 1.14001i) q^{54} +(1.76583 + 3.19601i) q^{55} +(0.669976 - 2.28173i) q^{56} +(-0.462764 - 0.0330975i) q^{57} +(-6.01859 - 0.430458i) q^{58} +(-0.585730 + 1.99481i) q^{59} +(0.489505 + 0.141093i) q^{60} +(0.0788478 - 0.122690i) q^{61} +(-1.29684 - 0.708128i) q^{62} +(5.61238 - 4.20138i) q^{63} +(0.909632 - 0.415415i) q^{64} +(-2.04280 - 6.83137i) q^{65} +(-0.201133 - 0.312969i) q^{66} +(-0.136437 - 1.90764i) 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} +(2.88072 + 0.626663i) q^{72} +(-4.60418 - 3.44665i) q^{73} +(-3.87283 - 8.48032i) q^{74} +(-0.673555 + 0.918659i) q^{75} +(-0.573723 - 1.95392i) q^{76} +(-0.825443 - 3.79450i) q^{77} +(0.253878 + 0.680674i) q^{78} +(3.63797 + 1.06820i) q^{79} +(0.170602 + 2.22955i) q^{80} +(5.58960 + 6.45074i) q^{81} +(4.16829 + 7.63366i) q^{82} +(-0.583027 + 0.217458i) q^{83} +(-0.455776 - 0.292909i) q^{84} +(-1.81501 + 0.839815i) q^{85} +(-6.53208 - 0.939171i) q^{86} +(-0.480405 + 1.28802i) q^{87} +(0.978590 - 1.30724i) q^{88} +(13.2135 - 8.49180i) q^{89} +(-3.53637 + 5.56331i) q^{90} +7.58303i q^{91} +(-4.75561 + 0.619781i) q^{92} +(-0.238033 + 0.238033i) q^{93} +(7.57898 + 6.56722i) q^{94} +(4.54351 + 0.302269i) q^{95} +(-0.0324229 - 0.225507i) q^{96} +(-5.86478 - 2.18745i) q^{97} +(0.805940 + 1.07661i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{19}{22}\right)$

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 $

$2$	0.997452	−	0.0713392i	0.705305	−	0.0504444i
$2$	0.997452	−	0.0713392i	0.705305	−	0.0504444i
$3$	0.0484278	−	0.222619i	0.0279598	−	0.128529i	−0.961051	−	0.276370i	$-0.910869\pi$
$3$	0.0484278	−	0.222619i	0.0279598	−	0.128529i	0.989011	+	0.147841i	$0.0472322\pi$
$4$	0.989821	−	0.142315i	0.494911	−	0.0711574i
$5$	−0.464445	+	2.18730i	−0.207706	+	0.978191i
$5$	−0.464445	+	2.18730i	−0.207706	+	0.978191i
$6$	0.0324229	−	0.225507i	0.0132366	−	0.0920627i
$7$	1.13968	−	2.08717i	0.430759	−	0.788876i	−0.568674	−	0.822563i	$-0.692543\pi$
$7$	1.13968	−	2.08717i	0.430759	−	0.788876i	0.999432	+	0.0336874i	$0.0107251\pi$
$8$	0.977147	−	0.212565i	0.345474	−	0.0751532i
$9$	2.68168	+	1.22468i	0.893894	+	0.408228i
$10$	−0.307222	+	2.21486i	−0.0971520	+	0.700401i
$11$	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	$0.193553\pi$
$12$	0.0162529	−	0.227245i	0.00469180	−	0.0656000i
$13$	−2.79870	+	1.52821i	−0.776220	+	0.423848i	−0.817956	−	0.575281i	$-0.804893\pi$
$13$	−2.79870	+	1.52821i	−0.776220	+	0.423848i	0.0417364	+	0.999129i	$0.486711\pi$
$14$	0.987880	−	2.16316i	0.264022	−	0.578128i
$15$	0.464443	+	0.209320i	0.119919	+	0.0540463i
$16$	0.959493	−	0.281733i	0.239873	−	0.0704331i
$17$	0.535981	+	0.715986i	0.129994	+	0.173652i	0.860816	−	0.508916i	$-0.169954\pi$
$17$	0.535981	+	0.715986i	0.129994	+	0.173652i	−0.730822	+	0.682569i	$0.760863\pi$
$18$	2.76222	+	1.03025i	0.651061	+	0.242833i
$19$	−0.289811	−	2.01568i	−0.0664873	−	0.462429i	−0.995681	−	0.0928370i	$-0.970406\pi$
$19$	−0.289811	−	2.01568i	−0.0664873	−	0.462429i	0.929194	−	0.369592i	$-0.120503\pi$
$20$	−0.148432	+	2.23114i	−0.0331905	+	0.498897i
$21$	−0.409451	−	0.354791i	−0.0893496	−	0.0774219i
$22$	1.15467	−	1.15467i	0.246176	−	0.246176i
$23$	−4.79541	−	0.0633219i	−0.999913	−	0.0132035i
$23$	−4.79541	−	0.0633219i	−0.999913	−	0.0132035i
$24$		−	0.227825i		−	0.0465047i
$25$	−4.56858	−	2.03176i	−0.913716	−	0.406353i
$26$	−2.68255	+	1.72397i	−0.526091	+	0.338098i
$27$	0.812098	−	1.08484i	0.156288	−	0.208777i
$28$	0.831045	−	2.22812i	0.157053	−	0.421075i
$29$	−5.97254	−	0.858722i	−1.10907	−	0.159461i	−0.436653	−	0.899630i	$-0.643836\pi$
$29$	−5.97254	−	0.858722i	−1.10907	−	0.159461i	−0.672421	+	0.740169i	$0.734745\pi$
$30$	0.478192	+	0.175654i	0.0873056	+	0.0320699i
$31$	−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	$0.724180\pi$
$32$	0.936950	−	0.349464i	0.165631	−	0.0617771i
$33$	−0.178294	−	0.326521i	−0.0310369	−	0.0568399i
$34$	0.585693	+	0.675926i	0.100446	+	0.115920i
$35$	4.03595	+	3.46220i	0.682200	+	0.585219i
$36$	2.82868	+	0.830575i	0.471446	+	0.138429i
$37$	−3.25799	−	8.73500i	−0.535609	−	1.43602i	−0.869746	−	0.493500i	$-0.835717\pi$
$37$	−3.25799	−	8.73500i	−0.535609	−	1.43602i	0.334136	−	0.942525i	$-0.391555\pi$
$38$	−0.432870	−	1.98987i	−0.0702208	−	0.322800i
$39$	0.204673	+	0.697051i	0.0327739	+	0.111618i
$40$	0.0111133	+	2.23604i	0.00175717	+	0.353549i
$41$	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	$0.625979\pi$
$42$	−0.433719	−	0.324678i	−0.0669242	−	0.0500988i
$43$	−6.44843	−	1.40277i	−0.983377	−	0.213921i	−0.307995	−	0.951388i	$-0.599658\pi$
$43$	−6.44843	−	1.40277i	−0.983377	−	0.213921i	−0.675383	+	0.737468i	$0.736021\pi$
$44$	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	0.999389	+	0.0349645i	$0.0111318\pi$
$47$	7.09117	+	7.09117i	1.03435	+	1.03435i	0.0349645	+	0.999389i	$0.488868\pi$
$48$	−0.0162529	−	0.227245i	−0.00234590	−	0.0328000i
$49$	0.727082	+	1.13136i	0.103869	+	0.161623i
$50$	−4.70189	−	1.70067i	−0.664947	−	0.240511i
$51$	0.185348	−	0.0846458i	0.0259540	−	0.0118528i
$52$	−2.55273	+	1.91095i	−0.353999	+	0.265001i
$53$	−7.57966	−	4.13880i	−1.04115	−	0.568509i	−0.134724	−	0.990883i	$-0.543015\pi$
$53$	−7.57966	−	4.13880i	−1.04115	−	0.568509i	−0.906421	+	0.422375i	$0.861197\pi$
$54$	0.732637	−	1.14001i	0.0996993	−	0.155135i
$55$	1.76583	+	3.19601i	0.238104	+	0.430949i
$56$	0.669976	−	2.28173i	0.0895293	−	0.304909i
$57$	−0.462764	−	0.0330975i	−0.0612946	−	0.00438388i
$58$	−6.01859	−	0.430458i	−0.790279	−	0.0565219i
$59$	−0.585730	+	1.99481i	−0.0762556	+	0.259703i	−0.988794	−	0.149289i	$-0.952301\pi$
$59$	−0.585730	+	1.99481i	−0.0762556	+	0.259703i	0.912538	+	0.408992i	$0.134120\pi$
$60$	0.489505	+	0.141093i	0.0631948	+	0.0182150i
$61$	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	$0.178846\pi$
$62$	−1.29684	−	0.708128i	−0.164699	−	0.0899323i
$63$	5.61238	−	4.20138i	0.707094	−	0.529324i
$64$	0.909632	−	0.415415i	0.113704	−	0.0519269i
$65$	−2.04280	−	6.83137i	−0.253379	−	0.847327i
$66$	−0.201133	−	0.312969i	−0.0247578	−	0.0385239i
$67$	−0.136437	−	1.90764i	−0.0166684	−	0.233055i	−0.998956	−	0.0456768i	$-0.985456\pi$
$67$	−0.136437	−	1.90764i	−0.0166684	−	0.233055i	0.982288	−	0.187378i	$-0.0599990\pi$
$68$	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	$0.0567037\pi$
$72$	2.88072	+	0.626663i	0.339496	+	0.0738529i
$73$	−4.60418	−	3.44665i	−0.538879	−	0.403400i	0.294875	−	0.955536i	$-0.404722\pi$
$73$	−4.60418	−	3.44665i	−0.538879	−	0.403400i	−0.833754	+	0.552136i	$0.813813\pi$
$74$	−3.87283	−	8.48032i	−0.450208	−	0.985817i
$75$	−0.673555	+	0.918659i	−0.0777755	+	0.106078i
$76$	−0.573723	−	1.95392i	−0.0658105	−	0.224130i
$77$	−0.825443	−	3.79450i	−0.0940679	−	0.432423i
$78$	0.253878	+	0.680674i	0.0287461	+	0.0770711i
$79$	3.63797	+	1.06820i	0.409303	+	0.120182i	0.479901	−	0.877323i	$-0.340672\pi$
$79$	3.63797	+	1.06820i	0.409303	+	0.120182i	−0.0705978	+	0.997505i	$0.522491\pi$
$80$	0.170602	+	2.22955i	0.0190739	+	0.249271i
$81$	5.58960	+	6.45074i	0.621067	+	0.716749i
$82$	4.16829	+	7.63366i	0.460311	+	0.842996i
$83$	−0.583027	+	0.217458i	−0.0639956	+	0.0238691i	−0.381258	−	0.924469i	$-0.624509\pi$
$83$	−0.583027	+	0.217458i	−0.0639956	+	0.0238691i	0.317263	+	0.948338i	$0.397236\pi$
$84$	−0.455776	−	0.292909i	−0.0497292	−	0.0319590i
$85$	−1.81501	+	0.839815i	−0.196866	+	0.0910907i
$86$	−6.53208	−	0.939171i	−0.704372	−	0.101273i
$87$	−0.480405	+	1.28802i	−0.0515048	+	0.138090i
$88$	0.978590	−	1.30724i	0.104318	−	0.139353i
$89$	13.2135	−	8.49180i	1.40063	−	0.900129i	0.400756	−	0.916185i	$-0.368747\pi$
$89$	13.2135	−	8.49180i	1.40063	−	0.900129i	0.999871	+	0.0160559i	$0.00511098\pi$
$90$	−3.53637	+	5.56331i	−0.372767	+	0.586424i
$91$			7.58303i			0.794917i
$92$	−4.75561	+	0.619781i	−0.495807	+	0.0646166i
$93$	−0.238033	+	0.238033i	−0.0246829	+	0.0246829i
$94$	7.57898	+	6.56722i	0.781712	+	0.677357i
$95$	4.54351	+	0.302269i	0.466154	+	0.0310121i
$96$	−0.0324229	−	0.225507i	−0.00330915	−	0.0230157i
$97$	−5.86478	−	2.18745i	−0.595478	−	0.222102i	0.0336111	−	0.999435i	$-0.489299\pi$
$97$	−5.86478	−	2.18745i	−0.595478	−	0.222102i	−0.629089	+	0.777333i	$0.716572\pi$
$98$	0.805940	+	1.07661i	0.0814122	+	0.108754i
$99$	4.61908	−	1.35629i	0.464235	−	0.136312i
$100$	−4.81123	−	1.36091i	−0.481123	−	0.136091i
$101$	−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	$0.258993\pi$
$102$	0.178838	−	0.0976527i	0.0177076	−	0.00966906i
$103$	−0.774995	+	10.8358i	−0.0763625	+	1.06769i	0.804387	+	0.594106i	$0.202494\pi$
$103$	−0.774995	+	10.8358i	−0.0763625	+	1.06769i	−0.880750	+	0.473582i	$0.842961\pi$
$104$	−2.40990	+	2.08819i	−0.236310	+	0.204764i
$105$	0.966204	−	0.730812i	0.0942918	−	0.0713200i
$106$	−7.85560	−	3.58753i	−0.763004	−	0.348452i
$107$	18.7204	−	4.07236i	1.80977	−	0.393690i	0.824658	−	0.565632i	$-0.191368\pi$
$107$	18.7204	−	4.07236i	1.80977	−	0.393690i	0.985107	+	0.171941i	$0.0550039\pi$
$108$	0.649444	−	1.18937i	0.0624927	−	0.114447i
$109$	−0.780403	+	5.42783i	−0.0747491	+	0.519891i	0.917704	+	0.397265i	$0.130041\pi$
$109$	−0.780403	+	5.42783i	−0.0747491	+	0.519891i	−0.992453	+	0.122626i	$0.960868\pi$
$110$	1.98933	+	3.06189i	0.189675	+	0.291940i
$111$	−2.10235	+	0.302273i	−0.199546	+	0.0286905i
$112$	0.505492	−	2.32371i	0.0477645	−	0.219570i
$113$	8.63805	−	0.617806i	0.812600	−	0.0581183i	0.341147	−	0.940010i	$-0.389184\pi$
$113$	8.63805	−	0.617806i	0.812600	−	0.0581183i	0.471452	+	0.881892i	$0.343730\pi$
$114$	−0.463946			−0.0434525
$115$	2.36571	−	10.4596i	0.220604	−	0.975364i
$116$	−6.03396			−0.560239
$117$	−9.37679	+	0.670641i	−0.866885	+	0.0620008i
$118$	−0.441929	+	2.03152i	−0.0406829	+	0.187016i
$119$	2.10523	−	0.302687i	0.192986	−	0.0277472i
$120$	0.498323	+	0.105812i	0.0454905	+	0.00965931i
$121$	−1.18598	+	8.24866i	−0.107816	+	0.749878i
$122$	0.0698943	−	0.128002i	0.00632793	−	0.0115887i
$123$	1.93624	−	0.421203i	0.174585	−	0.0379786i
$124$	−1.34405	−	0.613808i	−0.120699	−	0.0551216i
$125$	6.56594	−	9.04922i	0.587275	−	0.809387i
$126$	5.29836	−	4.59106i	0.472015	−	0.409004i
$127$	1.43112	−	20.0097i	0.126991	−	1.77557i	−0.391198	−	0.920307i	$-0.627939\pi$
$127$	1.43112	−	20.0097i	0.126991	−	1.77557i	0.518189	−	0.855266i	$-0.326606\pi$
$128$	0.877679	−	0.479249i	0.0775766	−	0.0423600i
$129$	−0.624567	+	1.36761i	−0.0549900	+	0.120411i
$130$	−2.52494	−	6.66823i	−0.221452	−	0.584843i
$131$	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	$0.340012\pi$
$132$	−0.222948	−	0.297823i	−0.0194051	−	0.0259222i
$133$	−4.53736	−	1.69235i	−0.393439	−	0.146745i
$134$	−0.272178	−	1.89304i	−0.0235126	−	0.163534i
$135$	1.99569	+	2.28015i	0.171761	+	0.196244i
$136$	0.675926	+	0.585693i	0.0579601	+	0.0502228i
$137$	−13.0887	+	13.0887i	−1.11824	+	1.11824i	−0.126240	+	0.992000i	$0.540291\pi$
$137$	−13.0887	+	13.0887i	−1.11824	+	1.11824i	−0.992000	+	0.126240i	$0.959709\pi$
$138$	−0.169761	+	1.07934i	−0.0144510	+	0.0918799i
$139$			10.9601i			0.929627i	0.885408	+	0.464814i	$0.153879\pi$
$139$			10.9601i			0.929627i	−0.885408	+	0.464814i	$0.846121\pi$
$140$	4.48759	+	2.85259i	0.379271	+	0.241088i
$141$	1.92204	−	1.23522i	0.161865	−	0.104024i
$142$	5.15645	−	6.88821i	0.432719	−	0.578045i
$143$	−1.81968	+	4.87876i	−0.152170	+	0.407982i
$144$	2.91809	+	0.419558i	0.243174	+	0.0349631i
$145$	4.65220	−	12.6649i	0.386345	−	1.05177i
$146$	−4.83833	−	3.10941i	−0.400423	−	0.257336i
$147$	0.287073	−	0.107073i	0.0236774	−	0.00883122i
$148$	−4.46794	−	8.18243i	−0.367263	−	0.672591i
$149$	9.00738	+	10.3951i	0.737913	+	0.851597i	0.993339	−	0.115231i	$-0.0367609\pi$
$149$	9.00738	+	10.3951i	0.737913	+	0.851597i	−0.255425	+	0.966829i	$0.582215\pi$
$150$	−0.606303	+	0.964369i	−0.0495044	+	0.0787404i
$151$	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	$0.273021\pi$
$152$	−0.711652	−	1.90801i	−0.0577226	−	0.154760i
$153$	0.560473	+	2.57645i	0.0453116	+	0.208294i
$154$	−1.09404	−	3.72594i	−0.0881599	−	0.300245i
$155$	2.32462	−	2.34784i	0.186718	−	0.188583i
$156$	0.301790	+	0.660828i	0.0241625	+	0.0529086i
$157$	−0.243518	−	0.182296i	−0.0194349	−	0.0145488i	0.589516	−	0.807757i	$-0.299318\pi$
$157$	−0.243518	−	0.182296i	−0.0194349	−	0.0145488i	−0.608951	+	0.793208i	$0.708409\pi$
$158$	3.70490	+	0.805953i	0.294746	+	0.0641181i
$159$	−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
$163$	−0.520500	−	7.27754i	−0.0407687	−	0.570021i	−0.976250	−	0.216646i	$-0.930488\pi$
$163$	−0.520500	−	7.27754i	−0.0407687	−	0.570021i	0.935482	−	0.353375i	$-0.114966\pi$
$164$	4.70225	+	7.31684i	0.367184	+	0.571349i
$165$	0.797007	−	0.238331i	0.0620469	−	0.0185541i
$166$	−0.566029	+	0.258497i	−0.0439323	+	0.0200632i
$167$	−12.5552	+	9.39869i	−0.971549	+	0.727293i	−0.962110	−	0.272663i	$-0.912096\pi$
$167$	−12.5552	+	9.39869i	−0.971549	+	0.727293i	−0.00943968	+	0.999955i	$0.503005\pi$
$168$	−0.475510	−	0.259648i	−0.0366864	−	0.0200323i
$169$	−1.53102	+	2.38232i	−0.117771	+	0.183255i
$170$	−1.75048	+	0.967157i	−0.134255	+	0.0741775i
$171$	1.69139	−	5.76035i	0.129344	−	0.440505i
$172$	−6.58243	−	0.470785i	−0.501906	−	0.0358970i
$173$	15.2116	+	1.08796i	1.15652	+	0.0827160i	0.636387	−	0.771370i	$-0.280428\pi$
$173$	15.2116	+	1.08796i	1.15652	+	0.0827160i	0.520133	+	0.854085i	$0.325883\pi$
$174$	−0.387295	+	1.31901i	−0.0293607	+	0.0999935i
$175$	−9.44736	+	7.21984i	−0.714153	+	0.545769i
$176$	0.882839	−	1.37372i	0.0665465	−	0.103548i
$177$	0.415718	+	0.226999i	0.0312473	+	0.0170623i
$178$	12.5740	−	9.41280i	0.942463	−	0.705519i
$179$	−9.71797	+	4.43805i	−0.726355	+	0.331715i	−0.744046	−	0.668128i	$-0.767096\pi$
$179$	−9.71797	+	4.43805i	−0.726355	+	0.331715i	0.0176909	+	0.999844i	$0.494369\pi$
$180$	−3.13048	+	5.80141i	−0.233332	+	0.432412i
$181$	−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	$-0.446196\pi$
$182$	0.540967	+	7.56371i	0.0400991	+	0.560659i
$183$	−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
$187$	1.42710	+	0.310446i	0.104360	+	0.0227021i
$188$	8.02817	+	6.00981i	0.585514	+	0.438311i
$189$	−1.33870	−	2.93135i	−0.0973763	−	0.213224i
$190$	4.55350	−	0.0226313i	0.330345	−	0.00164185i
$191$	−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	$-0.451226\pi$
$192$	−0.0484278	−	0.222619i	−0.00349497	−	0.0160661i
$193$	0.174153	+	0.466923i	0.0125358	+	0.0336098i	0.943067	−	0.332603i	$-0.107927\pi$
$193$	0.174153	+	0.466923i	0.0125358	+	0.0336098i	−0.930531	+	0.366213i	$0.880654\pi$
$194$	−6.00589	−	1.76349i	−0.431198	−	0.126611i
$195$	−1.61972	+	0.123939i	−0.115991	+	0.00887545i
$196$	0.880691	+	1.01637i	0.0629065	+	0.0725979i
$197$	5.28909	+	9.68625i	0.376832	+	0.690116i	0.995420	−	0.0955992i	$-0.0304767\pi$
$197$	5.28909	+	9.68625i	0.376832	+	0.690116i	−0.618588	+	0.785716i	$0.712295\pi$
$198$	4.51056	−	1.68235i	0.320551	−	0.119560i
$199$	−16.6941	−	10.7286i	−1.18341	−	0.760534i	−0.207403	−	0.978256i	$-0.566501\pi$
$199$	−16.6941	−	10.7286i	−1.18341	−	0.760534i	−0.976011	+	0.217722i	$0.930137\pi$
$200$	−4.89606	−	1.01421i	−0.346204	−	0.0717155i
$201$	−0.431283	−	0.0620092i	−0.0304204	−	0.00437379i
$202$	−2.63962	+	7.07709i	−0.185723	+	0.497943i
$203$	−8.59909	+	11.4870i	−0.603538	+	0.806232i
$204$	0.171416	−	0.110162i	0.0120015	−	0.00771289i
$205$	−18.9831	+	4.22843i	−1.32584	+	0.295327i
$206$			10.8635i			0.756898i
$207$	−12.7822	−	6.04267i	−0.888426	−	0.419995i
$208$	−2.25479	+	2.25479i	−0.156341	+	0.156341i
$209$	−2.51313	−	2.17764i	−0.173837	−	0.150631i
$210$	0.911607	−	0.797878i	0.0629068	−	0.0550588i
$211$	−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	$0.980808\pi$
$212$	−8.09152	−	3.01798i	−0.555728	−	0.207276i
$213$	−1.17477	−	1.56931i	−0.0804939	−	0.107527i
$214$	18.3821	−	5.39748i	1.25658	−	0.368964i
$215$	6.06323	−	13.4532i	0.413509	−	0.917498i
$216$	0.562940	−	1.23267i	0.0383032	−	0.0838724i
$217$	−3.08395	+	1.68397i	−0.209352	+	0.114315i
$218$	−0.391198	+	5.46967i	−0.0264953	+	0.370453i
$219$	−0.990260	+	0.858065i	−0.0669155	+	0.0579826i
$220$	2.20269	+	2.91217i	0.148506	+	0.196339i
$221$	−2.59422	−	1.18474i	−0.174506	−	0.0796944i
$222$	−2.07543	+	0.451483i	−0.139294	+	0.0303015i
$223$	0.810966	−	1.48517i	0.0543063	−	0.0994545i	−0.849116	−	0.528206i	$-0.822865\pi$
$223$	0.810966	−	1.48517i	0.0543063	−	0.0994545i	0.903422	+	0.428752i	$0.141047\pi$
$224$	0.338433	−	2.35385i	0.0226125	−	0.157273i
$225$	−9.76322	−	11.0436i	−0.650881	−	0.736241i
$226$	8.57197	−	1.23246i	0.570199	−	0.0819822i
$227$	−2.93521	+	13.4929i	−0.194817	+	0.895557i	0.771102	+	0.636712i	$0.219706\pi$
$227$	−2.93521	+	13.4929i	−0.194817	+	0.895557i	−0.965919	+	0.258846i	$0.916658\pi$
$228$	−0.462764	+	0.0330975i	−0.0306473	+	0.00219194i
$229$	−23.1478			−1.52965			−0.764824	−	0.644239i	$-0.777174\pi$
$229$	−23.1478			−1.52965			−0.764824	+	0.644239i	$0.777174\pi$
$230$	1.61350	−	10.6017i	0.106391	−	0.699057i
$231$	−0.884702			−0.0582091
$232$	−6.01859	+	0.430458i	−0.395140	+	0.0282609i
$233$	−0.0990535	+	0.455341i	−0.00648921	+	0.0298304i	−0.980278	−	0.197625i	$-0.936677\pi$
$233$	−0.0990535	+	0.455341i	−0.00648921	+	0.0298304i	0.973788	+	0.227456i	$0.0730407\pi$
$234$	−9.30506	+	1.33787i	−0.608291	+	0.0874590i
$235$	−18.8040	+	12.2171i	−1.22664	+	0.796954i
$236$	−0.295877	+	2.05787i	−0.0192599	+	0.133956i
$237$	0.413981	−	0.758150i	0.0268910	−	0.0492471i
$238$	2.07827	−	0.452101i	0.134715	−	0.0293053i
$239$	−22.0106	−	10.0519i	−1.42375	−	0.650203i	−0.453264	−	0.891376i	$-0.649741\pi$
$239$	−22.0106	−	10.0519i	−1.42375	−	0.650203i	−0.970482	+	0.241173i	$0.922468\pi$
$240$	0.504602	+	0.0699929i	0.0325719	+	0.00451802i
$241$	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	$0.181882\pi$
$242$	−0.594504	+	8.31225i	−0.0382161	+	0.534331i
$243$	5.27485	−	2.88029i	0.338382	−	0.184770i
$244$	0.0605847	−	0.132662i	0.00387854	−	0.00849281i
$245$	−2.81232	+	1.06489i	−0.179672	+	0.0680335i
$246$	1.90126	−	0.558260i	0.121220	−	0.0355933i
$247$	3.89147	+	5.19840i	0.247608	+	0.330766i
$248$	−1.38442	−	0.516360i	−0.0879105	−	0.0327889i
$249$	0.0201755	+	0.140324i	0.00127857	+	0.00889267i
$250$	5.90364	−	9.49458i	0.373379	−	0.600490i
$251$	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
$253$	−5.98573	+	5.04985i	−0.376320	+	0.317481i
$254$		−	20.0608i		−	1.25873i
$255$	0.0990617	+	0.444726i	0.00620349	+	0.0278498i
$256$	0.841254	−	0.540641i	0.0525783	−	0.0337901i
$257$	−0.141017	+	0.188377i	−0.00879640	+	0.0117506i	−0.804918	−	0.593386i	$-0.797791\pi$
$257$	−0.141017	+	0.188377i	−0.00879640	+	0.0117506i	0.796121	+	0.605137i	$0.206882\pi$
$258$	−0.525411	+	1.40868i	−0.0327107	+	0.0877007i
$259$	−21.9445	−	3.15514i	−1.36356	−	0.196051i
$260$	−2.99422	−	6.47111i	−0.185693	−	0.401322i
$261$	−14.9648	−	9.61729i	−0.926298	−	0.595296i
$262$	4.61810	−	1.72246i	0.285307	−	0.106414i
$263$	7.53195	+	13.7937i	0.464440	+	0.850558i	0.999982	+	0.00604947i	$0.00192562\pi$
$263$	7.53195	+	13.7937i	0.464440	+	0.850558i	−0.535542	+	0.844509i	$0.679893\pi$
$264$	−0.243626	−	0.281159i	−0.0149941	−	0.0173042i
$265$	12.5732	−	14.6567i	0.772363	−	0.900357i
$266$	−4.64653	−	1.36435i	−0.284897	−	0.0836534i
$267$	−1.25053	−	3.35281i	−0.0765315	−	0.205189i
$268$	−0.406533	−	1.86880i	−0.0248330	−	0.114155i
$269$	7.40660	+	25.2246i	0.451589	+	1.53797i	0.799632	+	0.600491i	$0.205028\pi$
$269$	7.40660	+	25.2246i	0.451589	+	1.53797i	−0.348043	+	0.937479i	$0.613154\pi$
$270$	2.15327	+	2.13197i	0.131044	+	0.129748i
$271$	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	$0.560421\pi$
$272$	0.715986	+	0.535981i	0.0434130	+	0.0324986i
$273$	1.68813	+	0.367229i	0.102170	+	0.0222257i
$274$	−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	0.983000	−	0.183607i	$-0.0587773\pi$
$277$	13.3046	+	13.3046i	0.799393	+	0.799393i	−0.183607	+	0.983000i	$0.558777\pi$
$278$	0.781888	+	10.9322i	0.0468945	+	0.655671i
$279$	−2.35505	−	3.66453i	−0.140993	−	0.219390i
$280$	4.67966	+	2.52518i	0.279663	+	0.150908i
$281$	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	$0.256771\pi$
$282$	1.82902	−	1.36919i	0.108917	−	0.0815340i
$283$	15.9059	+	8.68526i	0.945506	+	0.516285i	0.876537	−	0.481334i	$-0.159847\pi$
$283$	15.9059	+	8.68526i	0.945506	+	0.516285i	0.0689682	+	0.997619i	$0.478029\pi$
$284$	4.65191	−	7.23851i	0.276040	−	0.429527i
$285$	0.287323	−	0.996833i	0.0170195	−	0.0590473i
$286$	−1.46700	+	4.99614i	−0.0867455	+	0.295428i
$287$	20.6306	+	1.47553i	1.21778	+	0.0870976i
$288$	2.94058	+	0.210315i	0.173276	+	0.0123929i
$289$	4.56409	−	15.5439i	0.268476	−	0.914345i
$290$	3.73685	−	12.9645i	0.219435	−	0.761304i
$291$	−0.770986	+	1.19968i	−0.0451960	+	0.0703263i
$292$	−5.04783	−	2.75632i	−0.295402	−	0.161302i
$293$	−12.6224	+	9.44902i	−0.737409	+	0.552018i	−0.900638	−	0.434571i	$-0.856900\pi$
$293$	−12.6224	+	9.44902i	−0.737409	+	0.552018i	0.163229	+	0.986588i	$0.447809\pi$
$294$	0.278703	−	0.127280i	0.0162543	−	0.00742310i
$295$	−4.09122	−	2.20765i	−0.238200	−	0.128534i
$296$	−5.04029	−	7.84284i	−0.292961	−	0.455856i
$297$	−0.157863	−	2.20722i	−0.00916015	−	0.128076i
$298$	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
$302$	20.1905	+	4.39218i	1.16183	+	0.252741i
$303$	1.37760	+	1.03126i	0.0791413	+	0.0592444i
$304$	−0.845955	−	1.85238i	−0.0485189	−	0.106242i
$305$	0.231739	+	0.229446i	0.0132693	+	0.0131381i
$306$	0.742847	+	2.52991i	0.0424658	+	0.144625i
$307$	−4.19686	−	19.2926i	−0.239527	−	1.10109i	−0.927053	−	0.374930i	$-0.877667\pi$
$307$	−4.19686	−	19.2926i	−0.239527	−	1.10109i	0.687526	−	0.726160i	$-0.258697\pi$
$308$	−1.35705	−	3.63840i	−0.0773253	−	0.207317i
$309$	2.37473	+	0.697285i	0.135094	+	0.0396671i
$310$	2.15120	−	2.50769i	0.122180	−	0.142427i
$311$	−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	$-0.655940\pi$
$312$	0.348164	+	0.637615i	0.0197109	+	0.0360978i
$313$	3.03176	−	1.13079i	0.171365	−	0.0639160i	−0.262317	−	0.964982i	$-0.584487\pi$
$313$	3.03176	−	1.13079i	0.171365	−	0.0639160i	0.433683	+	0.901066i	$0.357214\pi$
$314$	−0.255903	−	0.164459i	−0.0144414	−	0.00928094i
$315$	6.58304	+	14.2273i	0.370912	+	0.801617i
$316$	3.75296	+	0.539594i	0.211121	+	0.0303546i
$317$	−5.51318	+	14.7814i	−0.309651	+	0.830206i	0.685153	+	0.728399i	$0.259735\pi$
$317$	−5.51318	+	14.7814i	−0.309651	+	0.830206i	−0.994804	+	0.101807i	$0.967538\pi$
$318$	−1.17908	+	1.57507i	−0.0661196	+	0.0883255i
$319$	−8.28900	+	5.32701i	−0.464095	+	0.298256i
$320$	0.486164	+	2.18258i	0.0271774	+	0.122010i
$321$		−	4.36472i		−	0.243615i
$322$	−4.87427	+	10.3107i	−0.271632	+	0.574591i
$323$	1.28787	−	1.28787i	0.0716589	−	0.0716589i
$324$	6.45074	+	5.58960i	0.358375	+	0.310533i
$325$	15.8910	−	1.29543i	0.881476	−	0.0718578i
$326$	−1.03835	−	7.22187i	−0.0575088	−	0.399982i
$327$	1.17054	+	0.436590i	0.0647312	+	0.0241435i
$328$	5.21225	+	6.96275i	0.287798	+	0.384453i
$329$	22.8821	−	6.71880i	1.26153	−	0.370419i
$330$	0.777974	−	0.294582i	0.0428260	−	0.0162162i
$331$	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	$-0.0430636\pi$
$332$	−0.546146	+	0.298218i	−0.0299736	+	0.0163668i
$333$	1.96072	−	27.4145i	0.107447	−	1.50230i
$334$	−11.8527	+	10.2704i	−0.648551	+	0.561973i
$335$	4.23595	+	0.587564i	0.231434	+	0.0321021i
$336$	−0.492822	−	0.225064i	−0.0268856	−	0.0122783i
$337$	11.5784	−	2.51874i	0.630718	−	0.137204i	0.114168	−	0.993461i	$-0.463580\pi$
$337$	11.5784	−	2.51874i	0.630718	−	0.137204i	0.516550	+	0.856257i	$0.327216\pi$
$338$	−1.35717	+	2.48547i	−0.0738203	+	0.135192i
$339$	0.280787	−	1.95291i	0.0152502	−	0.106068i
$340$	−1.67702	+	1.08957i	−0.0909492	+	0.0590902i
$341$	−2.38825	+	0.343378i	−0.129331	+	0.0185950i
$342$	1.27614	−	5.86633i	0.0690059	−	0.317215i
$343$	19.7940	−	1.41569i	1.06877	−	0.0764402i
$344$	−6.59925			−0.355808
$345$	−2.21394	−	1.03319i	−0.119195	−	0.0556250i
$346$	15.2505			0.819872
$347$	16.6703	−	1.19228i	0.894909	−	0.0640051i	0.383696	−	0.923459i	$-0.374651\pi$
$347$	16.6703	−	1.19228i	0.894909	−	0.0640051i	0.511213	+	0.859454i	$0.329196\pi$
$348$	−0.292211	+	1.34327i	−0.0156642	+	0.0720070i
$349$	9.48388	−	1.36358i	0.507661	−	0.0729906i	0.116274	−	0.993217i	$-0.462905\pi$
$349$	9.48388	−	1.36358i	0.507661	−	0.0729906i	0.391386	+	0.920227i	$0.371996\pi$
$350$	−8.90823	+	7.87541i	−0.476165	+	0.420958i
$351$	−0.614966	+	4.27718i	−0.0328244	+	0.228299i
$352$	0.782589	−	1.43320i	0.0417121	−	0.0763901i
$353$	8.30880	−	1.80747i	0.442233	−	0.0962019i	0.0140650	−	0.999901i	$-0.495523\pi$
$353$	8.30880	−	1.80747i	0.442233	−	0.0962019i	0.428168	+	0.903699i	$0.359159\pi$
$354$	0.430852	+	0.196764i	0.0228995	+	0.0104579i
$355$	11.6066	+	15.3450i	0.616013	+	0.814428i
$356$	11.8705	−	10.2858i	0.629135	−	0.545148i
$357$	0.0345679	−	0.483323i	0.00182953	−	0.0255802i
$358$	−9.37661	+	5.12001i	−0.495569	+	0.270601i
$359$	−8.93561	+	19.5663i	−0.471604	+	1.03267i	0.513084	+	0.858339i	$0.328503\pi$
$359$	−8.93561	+	19.5663i	−0.471604	+	1.03267i	−0.984687	+	0.174329i	$0.944224\pi$
$360$	−2.70864	+	6.00996i	−0.142758	+	0.316753i
$361$	14.2514	−	4.18458i	0.750073	−	0.220241i
$362$	−11.9053	−	15.9036i	−0.625726	−	0.835873i
$363$	1.77887	+	0.663485i	0.0933666	+	0.0348239i
$364$	1.07918	+	7.50584i	0.0565643	+	0.393413i
$365$	9.67725	−	8.46996i	0.506531	−	0.443338i
$366$	−0.0251108	−	0.0217586i	−0.00131256	−	0.00113734i
$367$	−6.51166	+	6.51166i	−0.339906	+	0.339906i	−0.856332	−	0.516426i	$-0.827262\pi$
$367$	−6.51166	+	6.51166i	−0.339906	+	0.339906i	0.516426	+	0.856332i	$0.327262\pi$
$368$	−4.61901	+	1.29027i	−0.240782	+	0.0672598i
$369$			25.6412i			1.33483i
$370$	20.3477	−	4.53241i	1.05783	−	0.235629i
$371$	−17.2768	+	11.1031i	−0.896965	+	0.576445i
$372$	−0.201735	+	0.269486i	−0.0104595	+	0.0139722i
$373$	−0.689223	+	1.84788i	−0.0356866	+	0.0956795i	−0.953571	−	0.301169i	$-0.902623\pi$
$373$	−0.689223	+	1.84788i	−0.0356866	+	0.0956795i	0.917884	+	0.396848i	$0.129896\pi$
$374$	1.44561	+	0.207847i	0.0747506	+	0.0107475i
$375$	−1.69655	−	1.89994i	−0.0876097	−	0.0981123i
$376$	8.43645	+	5.42178i	0.435077	+	0.279607i
$377$	18.0277	−	6.72397i	0.928472	−	0.346302i
$378$	−1.54441	−	2.82838i	−0.0794360	−	0.145476i
$379$	2.39662	+	2.76584i	0.123106	+	0.142072i	0.813957	−	0.580926i	$-0.197309\pi$
$379$	2.39662	+	2.76584i	0.123106	+	0.142072i	−0.690851	+	0.722997i	$0.742764\pi$
$380$	4.54028	−	0.347416i	0.232911	−	0.0178221i
$381$	−4.38523	−	1.28762i	−0.224662	−	0.0659667i
$382$	−8.74416	−	23.4440i	−0.447390	−	1.19950i
$383$	3.19539	+	14.6890i	0.163277	+	0.750572i	0.983845	+	0.179023i	$0.0572937\pi$
$383$	3.19539	+	14.6890i	0.163277	+	0.750572i	−0.820568	+	0.571549i	$0.806343\pi$
$384$	−0.0641858	−	0.218597i	−0.00327547	−	0.0111552i
$385$	8.68309	−	0.0431557i	0.442531	−	0.00219942i
$386$	0.207019	+	0.453309i	0.0105370	+	0.0230728i
$387$	−15.5747	−	11.6591i	−0.791707	−	0.592664i
$388$	−6.11639	−	1.33054i	−0.310513	−	0.0675479i
$389$	19.8209	−	22.8745i	1.00496	−	1.15979i	0.0178338	−	0.999841i	$-0.494323\pi$
$389$	19.8209	−	22.8745i	1.00496	−	1.15979i	0.987126	−	0.159944i	$-0.0511315\pi$
$390$	−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
$393$	−0.0801084	−	1.12006i	−0.00404093	−	0.0564996i
$394$	5.96662	+	9.28425i	0.300594	+	0.467734i
$395$	−4.02612	+	7.46121i	−0.202576	+	0.375414i
$396$	4.37905	−	1.99984i	0.220056	−	0.100496i
$397$	−15.6774	+	11.7360i	−0.786828	+	0.589012i	−0.915333	−	0.402697i	$-0.868073\pi$
$397$	−15.6774	+	11.7360i	−0.786828	+	0.589012i	0.128505	+	0.991709i	$0.458982\pi$
$398$	−17.4169	−	9.51037i	−0.873032	−	0.476712i
$399$	−0.596483	+	0.928146i	−0.0298615	+	0.0464654i
$400$	−4.95594	−	0.662345i	−0.247797	−	0.0331173i
$401$	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	$0.0476067\pi$
$402$	−0.434608	−	0.0310838i	−0.0216763	−	0.00155032i
$403$	4.69962	+	0.336124i	0.234105	+	0.0167435i
$404$	−2.12802	+	7.24737i	−0.105873	+	0.360570i
$405$	−16.7058	+	9.23013i	−0.830117	+	0.458649i
$406$	−7.75771	+	12.0712i	−0.385008	+	0.599085i
$407$	−13.3615	−	7.29592i	−0.662304	−	0.361645i
$408$	0.163120	−	0.122110i	0.00807564	−	0.00604535i
$409$	24.5853	−	11.2277i	1.21567	−	0.555176i	0.298779	−	0.954322i	$-0.403421\pi$
$409$	24.5853	−	11.2277i	1.21567	−	0.555176i	0.916887	+	0.399146i	$0.130693\pi$
$410$	−18.6331	+	5.57190i	−0.920221	+	0.275176i
$411$	2.27993	+	3.54764i	0.112461	+	0.174992i
$412$	0.774995	+	10.8358i	0.0381813	+	0.533844i
$413$	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
$417$	2.43994	+	0.530776i	0.119484	+	0.0259922i
$418$	−2.66208	−	1.99281i	−0.130207	−	0.0974715i
$419$	−9.67490	−	21.1851i	−0.472650	−	1.03496i	−0.984420	−	0.175836i	$-0.943737\pi$
$419$	−9.67490	−	21.1851i	−0.472650	−	1.03496i	0.511770	−	0.859123i	$-0.328990\pi$
$420$	0.852364	−	0.860879i	0.0415911	−	0.0420066i
$421$	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	$0.783394\pi$
$422$	−0.508939	−	2.33955i	−0.0247747	−	0.113888i
$423$	10.3318	+	27.7007i	0.502350	+	1.34685i
$424$	−8.28620	−	2.43305i	−0.402414	−	0.118159i
$425$	−0.993956	−	4.36003i	−0.0482139	−	0.211492i
$426$	−1.28373	−	1.48150i	−0.0621969	−	0.0717791i
$427$	−0.166213	−	0.304396i	−0.00804359	−	0.0147307i
$428$	17.9503	−	6.69510i	0.867658	−	0.323620i
$429$	0.997981	+	0.641363i	0.0481830	+	0.0309653i
$430$	5.08804	−	13.8514i	0.245367	−	0.667975i
$431$	−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	$0.602843\pi$
$432$	0.473569	−	1.26969i	0.0227846	−	0.0610878i
$433$	8.06567	−	10.7745i	0.387611	−	0.517788i	−0.563717	−	0.825968i	$-0.690629\pi$
$433$	8.06567	−	10.7745i	0.387611	−	0.517788i	0.951328	+	0.308180i	$0.0997199\pi$
$434$	−2.95596	+	1.89968i	−0.141891	+	0.0911877i
$435$	−2.59416	−	1.64900i	−0.124380	−	0.0790636i
$436$			5.48364i			0.262619i
$437$	1.26213	+	9.68438i	0.0603758	+	0.463267i
$438$	−0.926523	+	0.926523i	−0.0442710	+	0.0442710i
$439$	−4.17938	−	3.62145i	−0.199471	−	0.172842i	0.549398	−	0.835561i	$-0.314857\pi$
$439$	−4.17938	−	3.62145i	−0.199471	−	0.172842i	−0.748869	+	0.662718i	$0.769403\pi$
$440$	2.40483	+	2.74761i	0.114646	+	0.130987i
$441$	0.564243	+	3.92440i	0.0268687	+	0.186876i
$442$	−2.67213	−	0.996654i	−0.127100	−	0.0474060i
$443$	−17.6721	−	23.6071i	−0.839624	−	1.12161i	−0.991097	−	0.133145i	$-0.957492\pi$
$443$	−17.6721	−	23.6071i	−0.839624	−	1.12161i	0.151472	−	0.988462i	$-0.451599\pi$
$444$	−2.03794	+	0.598392i	−0.0967162	+	0.0283984i
$445$	12.4372	+	32.8459i	0.589579	+	1.55704i
$446$	0.702948	−	1.53924i	0.0332856	−	0.0728852i
$447$	2.75035	−	1.50180i	0.130087	−	0.0710329i
$448$	0.169649	−	2.37200i	0.00801514	−	0.112066i
$449$	1.08404	−	0.939325i	0.0511590	−	0.0443295i	−0.628906	−	0.777481i	$-0.716497\pi$
$449$	1.08404	−	0.939325i	0.0511590	−	0.0443295i	0.680065	+	0.733152i	$0.261952\pi$
$450$	−10.5262	−	10.3190i	−0.496209	−	0.486441i
$451$	12.9192	+	5.89999i	0.608341	+	0.277820i
$452$	8.46221	−	1.84084i	0.398029	−	0.0865859i
$453$	2.25606	−	4.13167i	0.105999	−	0.194123i
$454$	−1.96515	+	13.6679i	−0.0922293	+	0.641469i
$455$	−16.5864	−	3.52190i	−0.777581	−	0.165109i
$456$	−0.459224	+	0.0660264i	−0.0215051	+	0.00309197i
$457$	−0.339125	+	1.55893i	−0.0158636	+	0.0729238i	−0.984398	−	0.175955i	$-0.943699\pi$
$457$	−0.339125	+	1.55893i	−0.0158636	+	0.0729238i	0.968535	+	0.248879i	$0.0800622\pi$
$458$	−23.0888	+	1.65134i	−1.07887	+	0.0771622i
$459$	1.21200			0.0565711
$460$	0.853074	−	10.6898i	0.0397748	−	0.498415i
$461$	−6.83009			−0.318109			−0.159054	−	0.987270i	$-0.550845\pi$
$461$	−6.83009			−0.318109			−0.159054	+	0.987270i	$0.550845\pi$
$462$	−0.882447	+	0.0631139i	−0.0410552	+	0.00293632i
$463$	6.45510	−	29.6736i	0.299994	−	1.37905i	−0.542370	−	0.840140i	$-0.682473\pi$
$463$	6.45510	−	29.6736i	0.299994	−	1.37905i	0.842363	−	0.538910i	$-0.181164\pi$
$464$	−5.97254	+	0.858722i	−0.277268	+	0.0398652i
$465$	−0.410097	−	0.631204i	−0.0190178	−	0.0292714i
$466$	−0.0663174	+	0.461248i	−0.00307209	+	0.0213669i
$467$	−18.5193	+	33.9156i	−0.856971	+	1.56943i	−0.0353617	+	0.999375i	$0.511258\pi$
$467$	−18.5193	+	33.9156i	−0.856971	+	1.56943i	−0.821609	+	0.570051i	$0.806924\pi$
$468$	−9.18591	+	1.99827i	−0.424619	+	0.0923701i
$469$	−4.13706	−	1.88933i	−0.191031	−	0.0872411i
$470$	−17.8845	+	13.5274i	−0.824951	+	0.623972i
$471$	−0.0523755	+	0.0453836i	−0.00241334	+	0.00209117i
$472$	−0.148316	+	2.07373i	−0.00682681	+	0.0954512i
$473$	−9.45807	+	5.16450i	−0.434883	+	0.237464i
$474$	0.358841	−	0.785751i	0.0164821	−	0.0360908i
$475$	−2.77136	+	9.79764i	−0.127159	+	0.449546i
$476$	2.04073	−	0.599211i	0.0935365	−	0.0274648i
$477$	−15.2575	−	20.3816i	−0.698593	−	0.933211i
$478$	−22.6716	−	8.45607i	−1.03697	−	0.386772i
$479$	−5.41689	−	37.6753i	−0.247504	−	1.72143i	−0.612543	−	0.790437i	$-0.709854\pi$
$479$	−5.41689	−	37.6753i	−0.247504	−	1.72143i	0.365039	−	0.930992i	$-0.381056\pi$
$480$	0.508310	+	0.0338167i	0.0232011	+	0.00154351i
$481$	22.4670	+	19.4678i	1.02441	+	0.887654i
$482$	6.18108	−	6.18108i	0.281540	−	0.281540i
$483$	1.94102	+	1.72730i	0.0883195	+	0.0785948i
$484$			8.33348i			0.378794i
$485$	7.50848	−	11.8121i	0.340943	−	0.536359i
$486$	5.05593	−	3.24925i	0.229342	−	0.147389i
$487$	−3.05132	+	4.07608i	−0.138268	+	0.184705i	−0.864331	−	0.502924i	$-0.832258\pi$
$487$	−3.05132	+	4.07608i	−0.138268	+	0.184705i	0.726062	+	0.687629i	$0.241348\pi$
$488$	0.0509663	−	0.136646i	0.00230714	−	0.00618567i
$489$	−1.64532	−	0.236562i	−0.0744042	−	0.0106977i
$490$	−2.72918	+	1.26281i	−0.123292	+	0.0570478i
$491$	−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	$0.931906\pi$
$492$	1.85659	−	0.692471i	0.0837014	−	0.0312190i
$493$	−2.58633	−	4.73652i	−0.116483	−	0.213322i
$494$	4.25241	+	4.90754i	0.191325	+	0.220801i
$495$	0.821295	+	10.7333i	0.0369144	+	0.482424i
$496$	−1.41773	−	0.416282i	−0.0636577	−	0.0186916i
$497$	−7.15068	−	19.1717i	−0.320752	−	0.859968i
$498$	0.0301347	+	0.138527i	0.00135037	+	0.00620755i
$499$	−2.32707	−	7.92527i	−0.104174	−	0.354784i	0.890865	−	0.454268i	$-0.150099\pi$
$499$	−2.32707	−	7.92527i	−0.104174	−	0.354784i	−0.995039	+	0.0994839i	$0.968281\pi$
$500$	5.21127	−	9.89155i	0.233055	−	0.442363i
$501$	1.48431	+	3.25018i	0.0663140	+	0.145207i
$502$	2.52284	+	1.88858i	0.112600	+	0.0842912i
$503$	−9.43566	−	2.05260i	−0.420716	−	0.0915211i	−0.00277650	−	0.999996i	$-0.500884\pi$
$503$	−9.43566	−	2.05260i	−0.420716	−	0.0915211i	−0.417939	+	0.908475i	$0.637247\pi$
$504$	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
$508$	−1.43112	−	20.0097i	−0.0634957	−	0.887786i
$509$	5.20577	+	8.10034i	0.230742	+	0.359041i	0.937247	−	0.348667i	$-0.113366\pi$
$509$	5.20577	+	8.10034i	0.230742	+	0.359041i	−0.706505	+	0.707708i	$0.749729\pi$
$510$	0.130536	+	0.436526i	0.00578022	+	0.0193297i
$511$	−12.4410	+	5.68163i	−0.550359	+	0.251341i
$512$	0.800541	−	0.599278i	0.0353793	−	0.0264846i
$513$	−2.42204	−	1.32253i	−0.106936	−	0.0583913i
$514$	−0.127219	+	0.197957i	−0.00561139	+	0.00873150i
$515$	−23.3413	−	6.72781i	−1.02854	−	0.296463i
$516$	−0.423578	+	1.44258i	−0.0186470	+	0.0635058i
$517$	16.3342	+	1.16824i	0.718376	+	0.0513793i
$518$	−22.1137	−	1.58160i	−0.971618	−	0.0694915i
$519$	0.978867	−	3.33371i	0.0429675	−	0.146334i
$520$	−3.44823	−	6.24102i	−0.151215	−	0.273687i
$521$	−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	$0.261546\pi$
$522$	−15.6128	−	8.52521i	−0.683352	−	0.373138i
$523$	1.27553	−	0.954852i	0.0557752	−	0.0417528i	−0.571026	−	0.820932i	$-0.693455\pi$
$523$	1.27553	−	0.954852i	0.0557752	−	0.0417528i	0.626802	+	0.779179i	$0.284364\pi$
$524$	4.48346	−	2.04753i	0.195861	−	0.0894466i
$525$	1.14976	+	2.45280i	0.0501796	+	0.107049i
$526$	8.49679	+	13.2213i	0.370478	+	0.576475i
$527$	−0.0942756	−	1.31815i	−0.00410671	−	0.0574193i
$528$	−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
$532$	−4.73203	−	1.02939i	−0.205159	−	0.0446297i
$533$	−22.2025	−	16.6206i	−0.961696	−	0.719916i
$534$	−1.48654	−	3.25506i	−0.0643287	−	0.140860i
$535$	0.212911	+	42.8385i	0.00920494	+	1.85207i
$536$	−0.538816	−	1.83504i	−0.0232733	−	0.0792616i
$537$	0.517374	+	2.37833i	0.0223263	+	0.102632i
$538$	9.18723	+	24.6319i	0.396090	+	1.06196i
$539$	2.10712	+	0.618705i	0.0907600	+	0.0266495i
$540$	2.29987	+	1.97292i	0.0989708	+	0.0849012i
$541$	−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	$-0.479653\pi$
$542$	12.8584	+	23.5484i	0.552316	+	1.01149i
$543$	−4.24062	+	1.58167i	−0.181982	+	0.0678759i
$544$	0.752399	+	0.483537i	0.0322588	+	0.0207315i
$545$	−11.5098	−	4.22791i	−0.493027	−	0.181104i
$546$	1.71002	+	0.245864i	0.0731822	+	0.0105220i
$547$	−2.28993	+	6.13953i	−0.0979102	+	0.262507i	−0.976666	−	0.214765i	$-0.931102\pi$
$547$	−2.28993	+	6.13953i	−0.0979102	+	0.262507i	0.878756	+	0.477272i	$0.158374\pi$
$548$	−11.0927	+	14.8181i	−0.473858	+	0.633000i
$549$	0.361700	−	0.232451i	0.0154370	−	0.00992076i
$550$	−7.62121	+	2.92918i	−0.324970	+	0.124901i
$551$			12.2876i			0.523470i
$552$	−0.0144263	+	1.09252i	−0.000614026	+	0.0465006i
$553$	6.37565	−	6.37565i	0.271120	−	0.271120i
$554$	14.2198	+	12.3215i	0.604141	+	0.523491i
$555$	0.315266	−	4.73887i	0.0133823	−	0.201154i
$556$	1.55979	+	10.8486i	0.0661499	+	0.460083i
$557$	37.8737	+	14.1262i	1.60476	+	0.598545i	0.982828	−	0.184525i	$-0.0590747\pi$
$557$	37.8737	+	14.1262i	1.60476	+	0.598545i	0.621933	+	0.783070i	$0.286347\pi$
$558$	−2.61048	−	3.48719i	−0.110510	−	0.147625i
$559$	20.1910	−	5.92860i	0.853986	−	0.250753i
$560$	4.84788	+	2.18490i	0.204860	+	0.0923289i
$561$	0.138222	−	0.302665i	0.00583575	−	0.0127785i
$562$	9.69426	−	5.29347i	0.408928	−	0.223291i
$563$	0.262137	−	3.66516i	0.0110478	−	0.154468i	−0.988934	−	0.148359i	$-0.952601\pi$
$563$	0.262137	−	3.66516i	0.0110478	−	0.154468i	0.999981	−	0.00610894i	$-0.00194455\pi$
$564$	1.72668	−	1.49618i	0.0727065	−	0.0630006i
$565$	−2.66057	+	19.1810i	−0.111931	+	0.806949i
$566$	16.4849	+	7.52842i	0.692914	+	0.316443i
$567$	19.8341	−	4.31465i	0.832956	−	0.181198i
$568$	4.12367	−	7.55193i	0.173025	−	0.316872i
$569$	−5.41139	+	37.6370i	−0.226857	+	1.57783i	0.484370	+	0.874863i	$0.339049\pi$
$569$	−5.41139	+	37.6370i	−0.226857	+	1.57783i	−0.711227	+	0.702963i	$0.751860\pi$
$570$	0.215478	−	1.01479i	0.00902536	−	0.0425049i
$571$	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	$0.221629\pi$
$572$	−1.10684	+	5.08807i	−0.0462794	+	0.212743i
$573$	−5.68604	+	0.406673i	−0.237538	+	0.0169890i
$574$	20.6833			0.863302
$575$	21.7796	+	10.0324i	0.908271	+	0.418382i
$576$	2.94810			0.122837
$577$	−41.1111	+	2.94032i	−1.71148	+	0.122407i	−0.892391	−	0.451264i	$-0.850973\pi$
$577$	−41.1111	+	2.94032i	−1.71148	+	0.122407i	−0.819086	+	0.573671i	$0.805519\pi$
$578$	3.44358	−	15.8299i	0.143234	−	0.658436i
$579$	0.112380	−	0.0161578i	0.00467034	−	0.000671494i
$580$	2.80244	−	13.1981i	0.116365	−	0.548021i
$581$	−0.210593	+	1.46471i	−0.00873689	+	0.0607664i
$582$	−0.683437	+	1.25162i	−0.0283294	+	0.0518814i
$583$	−13.7799	+	2.99763i	−0.570705	+	0.124149i
$584$	−5.23160	−	2.38919i	−0.216485	−	0.0988655i
$585$	2.88811	−	20.8214i	0.119409	−	0.860857i
$586$	−11.9162	+	10.3254i	−0.492252	+	0.426539i
$587$	1.79751	−	25.1324i	0.0741910	−	1.03733i	−0.814902	−	0.579599i	$-0.803209\pi$
$587$	1.79751	−	25.1324i	0.0741910	−	1.03733i	0.889093	−	0.457727i	$-0.151336\pi$
$588$	0.268913	−	0.146838i	0.0110898	−	0.00605549i
$589$	−1.24996	+	2.73704i	−0.0515039	+	0.112778i
$590$	−4.23829	−	1.91016i	−0.174488	−	0.0786401i
$591$	2.41248	−	0.708368i	0.0992362	−	0.0291384i
$592$	−5.58695	−	7.46329i	−0.229622	−	0.306739i
$593$	−8.19591	−	3.05691i	−0.336566	−	0.125532i	0.175499	−	0.984480i	$-0.443846\pi$
$593$	−8.19591	−	3.05691i	−0.336566	−	0.125532i	−0.512064	+	0.858947i	$0.671119\pi$
$594$	−0.314922	−	2.19033i	−0.0129214	−	0.0898703i
$595$	−0.315698	+	4.74536i	−0.0129423	+	0.194541i
$596$	10.3951	+	9.00738i	0.425799	+	0.368957i
$597$	−3.19686	+	3.19686i	−0.130839	+	0.130839i
$598$	12.9731	−	8.09728i	0.530509	−	0.331122i
$599$			31.1793i			1.27395i	0.770883	+	0.636976i	$0.219815\pi$
$599$			31.1793i			1.27395i	−0.770883	+	0.636976i	$0.780185\pi$
$600$	−0.462888	+	1.04084i	−0.0188973	+	0.0424921i
$601$	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	$0.115603\pi$
$602$	−9.40469	+	12.5632i	−0.383307	+	0.512038i
$603$	1.97037	−	5.28277i	0.0802397	−	0.215131i
$604$	20.4524	+	2.94061i	0.832197	+	0.119652i
$605$	−17.4915	−	6.42514i	−0.711130	−	0.261219i
$606$	1.44766	+	0.930357i	0.0588073	+	0.0377932i
$607$	44.5272	−	16.6078i	1.80730	−	0.674089i	0.811314	−	0.584611i	$-0.198753\pi$
$607$	44.5272	−	16.6078i	1.80730	−	0.674089i	0.995989	−	0.0894782i	$-0.0285200\pi$
$608$	−0.975948	−	1.78731i	−0.0395799	−	0.0724852i
$609$	2.14080	+	2.47061i	0.0867495	+	0.100114i
$610$	0.247517	+	0.212330i	0.0100217	+	0.00859698i
$611$	−30.6828	−	9.00929i	−1.24129	−	0.364477i
$612$	0.921436	+	2.47047i	0.0372468	+	0.0998627i
$613$	8.61562	+	39.6054i	0.347982	+	1.59965i	0.735328	+	0.677712i	$0.237028\pi$
$613$	8.61562	+	39.6054i	0.347982	+	1.59965i	−0.387346	+	0.921934i	$0.626608\pi$
$614$	−5.56249	−	18.9441i	−0.224484	−	0.764521i
$615$	0.0220213	+	4.43077i	0.000887984	+	0.178666i
$616$	−1.61316	−	3.53232i	−0.0649960	−	0.142321i
$617$	−11.9751	−	8.96447i	−0.482101	−	0.360896i	0.330415	−	0.943836i	$-0.392811\pi$
$617$	−11.9751	−	8.96447i	−0.482101	−	0.360896i	−0.812515	+	0.582940i	$0.801902\pi$
$618$	2.41843	+	0.526097i	0.0972834	+	0.0211627i
$619$	12.8136	−	14.7877i	0.515022	−	0.594367i	−0.437356	−	0.899289i	$-0.644085\pi$
$619$	12.8136	−	14.7877i	0.515022	−	0.594367i	0.952377	+	0.304922i	$0.0986303\pi$
$620$	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
$623$	−2.66465	−	37.2567i	−0.106757	−	1.49266i
$624$	0.392764	+	0.611153i	0.0157231	+	0.0244657i
$625$	16.7439	+	18.5646i	0.669755	+	0.742582i
$626$	2.94337	−	1.34419i	0.117641	−	0.0537247i
$627$	−0.606490	+	0.454013i	−0.0242209	+	0.0181315i
$628$	−0.266983	−	0.145784i	−0.0106538	−	0.00581741i
$629$	4.50792	−	7.01446i	0.179743	−	0.279685i
$630$	7.58123	+	13.7214i	0.302043	+	0.546674i
$631$	−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	$0.938090\pi$
$632$	3.78189	+	0.270486i	0.150436	+	0.0107594i
$633$	−0.544086	−	0.0389138i	−0.0216255	−	0.00154668i
$634$	−4.44464	+	15.1370i	−0.176519	+	0.601169i
$635$	43.1026	+	12.4237i	1.71047	+	0.493019i
$636$	−1.06371	+	1.65517i	−0.0421790	+	0.0656318i
$637$	−3.76384	−	2.05521i	−0.149129	−	0.0814304i
$638$	−7.88785	+	5.90477i	−0.312283	+	0.233772i
$639$	23.0744	−	10.5377i	0.912808	−	0.416865i
$640$	0.640629	+	2.14233i	0.0253231	+	0.0846832i
$641$	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	$0.805746\pi$
$642$	−0.311376	−	4.35360i	−0.0122890	−	0.171823i
$643$	−8.39798	−	8.39798i	−0.331184	−	0.331184i	0.521852	−	0.853036i	$-0.325241\pi$
$643$	−8.39798	−	8.39798i	−0.331184	−	0.331184i	−0.853036	+	0.521852i	$0.825241\pi$
$644$	−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
$647$	−20.0772	−	4.36752i	−0.789316	−	0.171705i	−0.200201	−	0.979755i	$-0.564160\pi$
$647$	−20.0772	−	4.36752i	−0.789316	−	0.171705i	−0.589114	+	0.808050i	$0.700523\pi$
$648$	6.83306	+	5.11517i	0.268428	+	0.200943i
$649$	1.41031	+	3.08815i	0.0553596	+	0.121221i
$650$	15.7581	−	2.42579i	0.618085	−	0.0951472i
$651$	0.225534	+	0.768097i	0.00883936	+	0.0301041i
$652$	−1.55090	−	7.12939i	−0.0607381	−	0.279208i
$653$	−3.63880	−	9.75600i	−0.142397	−	0.381782i	0.846099	−	0.533025i	$-0.178945\pi$
$653$	−3.63880	−	9.75600i	−0.142397	−	0.381782i	−0.988497	+	0.151243i	$0.951672\pi$
$654$	1.19871	+	0.351972i	0.0468732	+	0.0137632i
$655$	0.840877	+	10.9892i	0.0328558	+	0.429382i
$656$	5.69568	+	6.57317i	0.222379	+	0.256639i
$657$	−8.12590	−	14.8815i	−0.317022	−	0.580582i
$658$	22.3445	−	8.33407i	0.871080	−	0.324896i
$659$	−17.3537	−	11.1525i	−0.676004	−	0.434442i	0.157081	−	0.987586i	$-0.449792\pi$
$659$	−17.3537	−	11.1525i	−0.676004	−	0.434442i	−0.833086	+	0.553144i	$0.813428\pi$
$660$	0.754976	−	0.349331i	0.0293874	−	0.0135977i
$661$	−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	$0.738459\pi$
$662$	6.79418	−	18.2159i	0.264063	−	0.707981i
$663$	−0.389378	+	0.520149i	−0.0151222	+	0.0202009i
$664$	−0.523479	+	0.336420i	−0.0203149	+	0.0130556i
$665$	5.80904	−	9.13858i	0.225265	−	0.354379i
$666$		−	27.4845i		−	1.06500i
$667$	28.5864	+	4.49612i	1.10687	+	0.174090i
$668$	−11.0898	+	11.0898i	−0.429078	+	0.429078i
$669$	−0.291354	−	0.252460i	−0.0112644	−	0.00976067i
$670$	4.26707	+	0.283878i	0.164851	+	0.0109672i
$671$	−0.0338925	−	0.235727i	−0.00130840	−	0.00910015i
$672$	−0.507622	−	0.189333i	−0.0195819	−	0.00730369i
$673$	−1.15899	−	1.54822i	−0.0446756	−	0.0596796i	0.777647	−	0.628701i	$-0.216413\pi$
$673$	−1.15899	−	1.54822i	−0.0446756	−	0.0596796i	−0.822323	+	0.569021i	$0.807322\pi$
$674$	11.3693	−	3.33832i	0.437928	−	0.128587i
$675$	−5.91426	+	3.30617i	−0.227640	+	0.127254i
$676$	−1.17640	+	2.57596i	−0.0452462	+	0.0990753i
$677$	11.3166	−	6.17933i	0.434932	−	0.237491i	−0.246839	−	0.969057i	$-0.579392\pi$
$677$	11.3166	−	6.17933i	0.434932	−	0.237491i	0.681771	+	0.731565i	$0.261210\pi$
$678$	0.140752	−	1.96797i	0.00540554	−	0.0755794i
$679$	−11.2496	+	9.74779i	−0.431718	+	0.374086i
$680$	−1.59502	+	1.20643i	−0.0611661	+	0.0462645i
$681$	2.86164	+	1.30687i	0.109658	+	0.0500792i
$682$	−2.35767	+	0.512879i	−0.0902798	+	0.0196392i
$683$	−9.93960	+	18.2030i	−0.380328	+	0.696519i	−0.995792	−	0.0916464i	$-0.970787\pi$
$683$	−9.93960	+	18.2030i	−0.380328	+	0.696519i	0.615463	+	0.788165i	$0.288969\pi$
$684$	0.854392	−	5.94242i	0.0326685	−	0.227214i
$685$	−22.5499	−	34.7078i	−0.861587	−	1.32612i
$686$	19.6425	−	2.82417i	0.749955	−	0.107827i
$687$	−1.12100	+	5.15313i	−0.0427687	+	0.196604i
$688$	−6.58243	+	0.470785i	−0.250953	+	0.0179485i
$689$	27.5381			1.04912
$690$	−2.28201	−	0.872615i	−0.0868745	−	0.0332199i
$691$	−38.2801			−1.45624			−0.728121	−	0.685449i	$-0.759606\pi$
$691$	−38.2801			−1.45624			−0.728121	+	0.685449i	$0.759606\pi$
$692$	15.2116	−	1.08796i	0.578260	−	0.0413580i
$693$	2.43348	−	11.1865i	0.0924404	−	0.424942i
$694$	16.5428	−	2.37849i	0.627955	−	0.0902863i
$695$	−23.9732	−	5.09039i	−0.909353	−	0.193089i
$696$	−0.195639	+	1.36070i	−0.00741567	+	0.0515771i
$697$	−3.72803	+	6.82737i	−0.141209	+	0.258605i
$698$	9.36244	−	2.03667i	0.354374	−	0.0770893i
$699$	0.0965707	+	0.0441024i	0.00365264	+	0.00166810i
$700$	−8.32371	+	8.49085i	−0.314607	+	0.320924i
$701$	−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	$0.394501\pi$
$702$	−0.308268	+	4.31015i	−0.0116348	+	0.162676i
$703$	−16.6628	+	9.09857i	−0.628449	+	0.343159i
$704$	0.678351	−	1.48538i	0.0255663	−	0.0559825i
$705$	1.80912	+	4.77777i	0.0681352	+	0.179941i
$706$	8.15869	−	2.39561i	0.307056	−	0.0901599i
$707$	10.7644	+	14.3795i	0.404836	+	0.540797i
$708$	0.443792	+	0.165526i	0.0166787	+	0.00622084i
$709$	0.893820	+	6.21665i	0.0335681	+	0.233471i	0.999698	−	0.0245860i	$-0.00782676\pi$
$709$	0.893820	+	6.21665i	0.0335681	+	0.233471i	−0.966130	+	0.258057i	$0.916918\pi$
$710$	12.6717	+	14.4779i	0.475560	+	0.543346i
$711$	8.44766	+	7.31994i	0.316812	+	0.274519i
$712$	11.1065	−	11.1065i	0.416232	−	0.416232i
$713$	5.91020	+	3.90947i	0.221339	+	0.146411i
$714$		−	0.484557i		−	0.0181341i
$715$	−9.82618	−	6.24611i	−0.367478	−	0.233591i
$716$	−8.98746	+	5.77589i	−0.335877	+	0.215855i
$717$	−3.30367	+	4.41318i	−0.123378	+	0.164813i
$718$	−7.51700	+	20.1539i	−0.280532	+	0.752136i
$719$	24.3367	+	3.49909i	0.907606	+	0.130494i	0.580280	−	0.814417i	$-0.302943\pi$
$719$	24.3367	+	3.49909i	0.907606	+	0.130494i	0.327327	+	0.944911i	$0.393852\pi$
$720$	−2.27299	+	6.18788i	−0.0847094	+	0.230609i
$721$	21.7330	+	13.9670i	0.809379	+	0.520157i
$722$	13.9165	−	5.19060i	0.517920	−	0.193174i
$723$	−0.954427	−	1.74790i	−0.0354955	−	0.0650052i
$724$	−13.0095	−	15.0137i	−0.483493	−	0.557981i
$725$	25.5413	+	16.0579i	0.948581	+	0.596377i
$726$	1.82167	+	0.534891i	0.0676086	+	0.0198517i
$727$	−0.639781	−	1.71532i	−0.0237282	−	0.0636177i	0.924546	−	0.381072i	$-0.124445\pi$
$727$	−0.639781	−	1.71532i	−0.0237282	−	0.0636177i	−0.948274	+	0.317454i	$0.897172\pi$
$728$	1.61189	+	7.40973i	0.0597406	+	0.274623i
$729$	6.82847	+	23.2556i	0.252906	+	0.861320i
$730$	9.04836	−	9.13875i	0.334895	−	0.338240i
$731$	−2.45187	−	5.36885i	−0.0906857	−	0.198574i
$732$	−0.0265991	−	0.0199118i	−0.000983130	−	0.000735962i
$733$	−12.3956	−	2.69650i	−0.457843	−	0.0995975i	−0.0222716	−	0.999752i	$-0.507090\pi$
$733$	−12.3956	−	2.69650i	−0.457843	−	0.0995975i	−0.435571	+	0.900154i	$0.643453\pi$
$734$	−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
$738$	1.82922	+	25.5759i	0.0673346	+	0.941461i
$739$	0.425705	+	0.662410i	0.0156598	+	0.0243672i	0.848995	−	0.528401i	$-0.177208\pi$
$739$	0.425705	+	0.662410i	0.0156598	+	0.0243672i	−0.833335	+	0.552768i	$0.813572\pi$
$740$	19.9726	−	5.97245i	0.734206	−	0.219552i
$741$	1.34572	−	0.614569i	0.0494362	−	0.0225767i
$742$	−16.4407	+	12.3073i	−0.603556	+	0.451816i
$743$	−22.2863	−	12.1693i	−0.817607	−	0.446447i	0.0152850	−	0.999883i	$-0.495134\pi$
$743$	−22.2863	−	12.1693i	−0.817607	−	0.446447i	−0.832892	+	0.553436i	$0.813316\pi$
$744$	−0.181996	+	0.283191i	−0.00667229	+	0.0103823i
$745$	−26.9206	+	14.8739i	−0.986294	+	0.544938i
$746$	−0.555641	+	1.89234i	−0.0203435	+	0.0692835i
$747$	−1.82981	−	0.130871i	−0.0669493	−	0.00478831i
$748$	1.45675	+	0.104189i	0.0532641	+	0.00380953i
$749$	12.8355	−	43.7138i	0.469000	−	1.59727i
$750$	−1.82777	−	1.77406i	−0.0667408	−	0.0647797i
$751$	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	$-0.111706\pi$
$752$	8.80174	+	4.80611i	0.320966	+	0.175261i
$753$	0.574767	−	0.430266i	0.0209457	−	0.0156797i
$754$	17.5020	−	7.99292i	0.637387	−	0.291085i
$755$	−21.9411	+	40.6612i	−0.798517	+	1.47981i
$756$	−1.74225	−	2.71100i	−0.0633651	−	0.0985980i
$757$	−0.780136	−	10.9077i	−0.0283545	−	0.396448i	−0.991734	−	0.128308i	$-0.959045\pi$
$757$	−0.780136	−	10.9077i	−0.0283545	−	0.396448i	0.963380	−	0.268140i	$-0.0864091\pi$
$758$	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	$0.852359\pi$
$762$	−4.46591	−	0.971500i	−0.161783	−	0.0351937i
$763$	10.4394	+	7.81482i	0.377931	+	0.282916i
$764$	−10.3944	−	22.7605i	−0.376055	−	0.823445i
$765$	−5.89579	+	0.0293026i	−0.213163	+	0.00105944i
$766$	4.23515	+	14.4236i	0.153022	+	0.521146i
$767$	−1.40920	−	6.47800i	−0.0508834	−	0.233907i
$768$	−0.0796168	−	0.213461i	−0.00287293	−	0.00770261i
$769$	−22.2120	−	6.52202i	−0.800984	−	0.235190i	−0.144475	−	0.989508i	$-0.546149\pi$
$769$	−22.2120	−	6.52202i	−0.800984	−	0.235190i	−0.656509	+	0.754318i	$0.727968\pi$
$770$	8.65789	−	0.662490i	0.312009	−	0.0238745i
$771$	0.0351071	+	0.0405157i	0.00126435	+	0.00145914i
$772$	0.238831	+	0.437386i	0.00859570	+	0.0157419i
$773$	11.2442	−	4.19387i	0.404426	−	0.150843i	−0.139015	−	0.990290i	$-0.544394\pi$
$773$	11.2442	−	4.19387i	0.404426	−	0.150843i	0.543441	+	0.839447i	$0.317121\pi$
$774$	−16.3668	−	10.5183i	−0.588291	−	0.378072i
$775$	4.05577	+	6.17508i	0.145688	+	0.221815i
$776$	−6.19573	−	0.890811i	−0.222414	−	0.0319782i
$777$	−1.76512	+	4.73246i	−0.0633232	+	0.169776i
$778$	18.1386	−	24.2303i	0.650299	−	0.868697i
$779$	14.9001	−	9.57571i	0.533851	−	0.343085i
$780$	−1.58560	+	0.353188i	−0.0567734	+	0.0126461i
$781$		−	14.0506i		−	0.502770i
$782$	−2.76584	−	3.27843i	−0.0989062	−	0.117236i
$783$	−5.78186	+	5.78186i	−0.206627	+	0.206627i
$784$	1.01637	+	0.880691i	0.0362990	+	0.0314532i
$785$	0.511837	−	0.447982i	0.0182682	−	0.0159892i
$786$	−0.159808	−	1.11149i	−0.00570018	−	0.0396456i
$787$	33.5821	+	12.5255i	1.19707	+	0.446485i	0.867400	−	0.497611i	$-0.165789\pi$
$787$	33.5821	+	12.5255i	1.19707	+	0.446485i	0.329672	+	0.944096i	$0.393062\pi$
$788$	6.61375	+	8.83494i	0.235605	+	0.314732i
$789$	3.43550	−	1.00875i	0.122307	−	0.0359126i
$790$	−3.48359	+	7.72942i	−0.123940	+	0.275001i
$791$	8.55516	−	18.7332i	0.304186	−	0.666075i
$792$	4.22522	−	2.30715i	0.150137	−	0.0819809i
$793$	−0.0331764	+	0.463867i	−0.00117813	+	0.0164724i
$794$	−14.8003	+	12.8245i	−0.525242	+	0.455124i
$795$	−2.65398	−	3.50882i	−0.0941270	−	0.124445i
$796$	−18.0510	−	8.24363i	−0.639802	−	0.292188i
$797$	2.31386	−	0.503350i	0.0819613	−	0.0178296i	−0.171398	−	0.985202i	$-0.554828\pi$
$797$	2.31386	−	0.503350i	0.0819613	−	0.0178296i	0.253359	+	0.967372i	$0.418465\pi$
$798$	−0.528750	+	0.968334i	−0.0187176	+	0.0342787i
$799$	−1.27645	+	8.87791i	−0.0451576	+	0.314078i
$800$	−4.99056	−	0.307105i	−0.176443	−	0.0108578i
$801$	45.8342	−	6.58996i	1.61947	−	0.232845i
$802$	1.15456	−	5.30742i	0.0407689	−	0.187411i
$803$	−9.36771	+	0.669992i	−0.330579	+	0.0236435i
$804$	−0.435718			−0.0153666
$805$	−19.1348	−	16.8583i	−0.674414	−	0.594175i
$806$	4.71163			0.165960
$807$	5.97415	−	0.427280i	0.210300	−	0.0150410i
$808$	−1.60558	+	7.38072i	−0.0564840	+	0.259653i
$809$	−36.9209	+	5.30842i	−1.29807	+	0.186634i	−0.756484	−	0.654012i	$-0.773084\pi$
$809$	−36.9209	+	5.30842i	−1.29807	+	0.186634i	−0.541584	+	0.840646i	$0.682175\pi$
$810$	−16.0047	+	10.3984i	−0.562350	+	0.365362i
$811$	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	$-0.351009\pi$
$812$	−6.87679	+	12.5939i	−0.241328	+	0.441959i
$813$	5.97294	−	1.29933i	0.209480	−	0.0455696i
$814$	−13.8479	−	6.32414i	−0.485370	−	0.221661i
$815$	16.1599	+	2.24153i	0.566057	+	0.0785173i
$816$	0.153993	−	0.133436i	0.00539084	−	0.00467119i
$817$	−0.958711	+	13.4045i	−0.0335411	+	0.468965i
$818$	23.7217	−	12.9530i	0.829410	−	0.452892i
$819$	−9.28681	+	20.3353i	−0.324507	+	0.710572i
$820$	−18.1881	+	6.88697i	−0.635155	+	0.240503i
$821$	−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	$0.493594\pi$
$822$	2.52721	+	3.37595i	0.0881464	+	0.117750i
$823$	37.7877	+	14.0941i	1.31720	+	0.491289i	0.907163	−	0.420780i	$-0.138244\pi$
$823$	37.7877	+	14.0941i	1.31720	+	0.491289i	0.410035	+	0.912070i	$0.365516\pi$
$824$	1.54604	+	10.7530i	0.0538589	+	0.374597i
$825$	0.151137	+	1.85399i	0.00526190	+	0.0645475i
$826$	3.73646	+	3.23766i	0.130008	+	0.112653i
$827$	25.2085	−	25.2085i	0.876587	−	0.876587i	−0.116593	−	0.993180i	$-0.537197\pi$
$827$	25.2085	−	25.2085i	0.876587	−	0.876587i	0.993180	+	0.116593i	$0.0371973\pi$
$828$	−13.5121	−	4.16207i	−0.469577	−	0.144642i
$829$		−	24.7323i		−	0.858987i	−0.903070	−	0.429494i	$-0.858692\pi$
$829$		−	24.7323i		−	0.858987i	0.903070	−	0.429494i	$-0.141308\pi$
$830$	−0.302521	−	1.35813i	−0.0105007	−	0.0471415i
$831$	3.60616	−	2.31754i	0.125096	−	0.0803944i
$832$	−1.91095	+	2.55273i	−0.0662502	+	0.0884999i
$833$	−0.420337	+	1.12697i	−0.0145638	+	0.0390471i
$834$	2.47158	+	0.355360i	0.0855840	+	0.0123051i
$835$	−14.7266	−	31.8272i	−0.509635	−	1.10142i
$836$	−2.79747	−	1.79782i	−0.0967524	−	0.0621790i
$837$	−1.87606	+	0.699734i	−0.0648461	+	0.0241864i
$838$	−11.1616	−	20.4409i	−0.385570	−	0.706119i
$839$	−24.7649	−	28.5802i	−0.854978	−	0.986697i	0.145018	−	0.989429i	$-0.453676\pi$
$839$	−24.7649	−	28.5802i	−0.854978	−	0.986697i	−0.999996	+	0.00273155i	$0.999131\pi$
$840$	0.788778	−	0.919492i	0.0272154	−	0.0317255i
$841$	7.10858	+	2.08727i	0.245123	+	0.0719747i
$842$	5.51699	+	14.7916i	0.190128	+	0.509753i
$843$	−0.534901	−	2.45890i	−0.0184230	−	0.0846890i
$844$	−0.674544	−	2.29729i	−0.0232188	−	0.0790758i
$845$	−4.49977	−	4.45527i	−0.154797	−	0.153266i
$846$	12.2816	+	26.8930i	0.422252	+	0.924602i
$847$	15.8647	+	11.8762i	0.545118	+	0.408070i
$848$	−8.43866	−	1.83572i	−0.289785	−	0.0630388i
$849$	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
$853$	−0.769130	−	10.7538i	−0.0263345	−	0.368204i	−0.993482	−	0.113989i	$-0.963637\pi$
$853$	−0.769130	−	10.7538i	−0.0263345	−	0.368204i	0.967148	−	0.254216i	$-0.0818173\pi$
$854$	−0.187504	−	0.291763i	−0.00641627	−	0.00998391i
$855$	11.8141	+	6.37495i	0.404032	+	0.218019i
$856$	17.4269	−	7.95860i	0.595639	−	0.272019i
$857$	−5.57921	+	4.17655i	−0.190582	+	0.142668i	−0.690308	−	0.723516i	$-0.742525\pi$
$857$	−5.57921	+	4.17655i	−0.190582	+	0.142668i	0.499726	+	0.866184i	$0.333434\pi$
$858$	1.04119	+	0.568534i	0.0355457	+	0.0194094i
$859$	−22.0934	+	34.3781i	−0.753818	+	1.17296i	0.226205	+	0.974080i	$0.427368\pi$
$859$	−22.0934	+	34.3781i	−0.753818	+	1.17296i	−0.980023	+	0.198884i	$0.936268\pi$
$860$	4.08693	−	14.1791i	0.139363	−	0.483504i
$861$	1.32757	−	4.52130i	0.0452435	−	0.154085i
$862$	−7.42642	−	0.531148i	−0.252945	−	0.0180910i
$863$	−19.1287	−	1.36811i	−0.651150	−	0.0465711i	−0.258143	−	0.966107i	$-0.583111\pi$
$863$	−19.1287	−	1.36811i	−0.651150	−	0.0465711i	−0.393007	+	0.919536i	$0.628565\pi$
$864$	0.381784	−	1.30024i	0.0129885	−	0.0442349i
$865$	−9.44467	+	32.7672i	−0.321128	+	1.11412i
$866$	7.27648	−	11.3224i	0.247265	−	0.384751i
$867$	−3.23933	−	1.76881i	−0.110013	−	0.0600719i
$868$	−2.81291	+	2.10572i	−0.0954764	+	0.0714728i
$869$	5.63191	−	2.57201i	0.191049	−	0.0872493i
$870$	−2.70519	−	1.45974i	−0.0917144	−	0.0494897i
$871$	3.29711	+	5.13040i	0.111718	+	0.173837i
$872$	0.391198	+	5.46967i	0.0132477	+	0.185226i
$873$	−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
$877$	−46.0342	−	10.0141i	−1.55446	−	0.338153i	−0.648402	−	0.761298i	$-0.724562\pi$
$877$	−46.0342	−	10.0141i	−1.55446	−	0.338153i	−0.906062	+	0.423146i	$0.860926\pi$
$878$	−4.42708	−	3.31407i	−0.149407	−	0.111844i
$879$	1.49226	+	3.26758i	0.0503325	+	0.110213i
$880$	2.59472	+	2.56905i	0.0874680	+	0.0866028i
$881$	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	$0.719208\pi$
$882$	0.842768	+	3.87414i	0.0283775	+	0.130449i
$883$	10.5191	+	28.2028i	0.353995	+	0.949099i	0.984882	+	0.173224i	$0.0554184\pi$
$883$	10.5191	+	28.2028i	0.353995	+	0.949099i	−0.630887	+	0.775875i	$0.717309\pi$
$884$	−2.73642	−	0.803487i	−0.0920359	−	0.0270242i
$885$	−0.689594	+	0.803872i	−0.0231804	+	0.0270218i
$886$	−19.3111	−	22.2862i	−0.648770	−	0.748721i
$887$	−0.113339	−	0.207564i	−0.00380554	−	0.00696933i	0.875769	−	0.482730i	$-0.160355\pi$
$887$	−0.113339	−	0.207564i	−0.00380554	−	0.00696933i	−0.879575	+	0.475761i	$0.842173\pi$
$888$	−1.99005	+	0.742252i	−0.0667819	+	0.0249083i
$889$	−40.1326	−	25.7916i	−1.34600	−	0.865024i
$890$	14.7487	+	31.8749i	0.494377	+	1.06845i
$891$	13.7963	+	1.98360i	0.462192	+	0.0664532i
$892$	0.591349	−	1.58547i	0.0197998	−	0.0530854i
$893$	12.2384	−	16.3486i	0.409544	−	0.547086i
$894$	2.63620	−	1.69418i	0.0881678	−	0.0566620i
$895$	−5.19389	−	23.3174i	−0.173613	−	0.779414i
$896$		−	2.37806i		−	0.0794453i
$897$	−0.937352	−	3.35561i	−0.0312973	−	0.112041i
$898$	1.01427	−	1.01427i	0.0338465	−	0.0338465i
$899$	6.73799	+	5.83851i	0.224725	+	0.194725i
$900$	−11.2355	−	9.54175i	−0.374517	−	0.318058i
$901$	−1.09922	−	7.64525i	−0.0366204	−	0.254700i
$902$	13.3072	+	4.96332i	0.443080	+	0.165260i
$903$	2.14263	+	2.86222i	0.0713022	+	0.0952486i
$904$	8.30932	−	2.43984i	0.276364	−	0.0811478i
$905$	41.5433	−	15.7305i	1.38095	−	0.522899i
$906$	1.95556	−	4.28209i	0.0649693	−	0.142263i
$907$	−8.65249	+	4.72462i	−0.287301	+	0.156878i	−0.616437	−	0.787404i	$-0.711424\pi$
$907$	−8.65249	+	4.72462i	−0.287301	+	0.156878i	0.329136	+	0.944283i	$0.393243\pi$
$908$	−0.985087	+	13.7733i	−0.0326913	+	0.457084i
$909$	−16.8290	+	14.5824i	−0.558182	+	0.483668i
$910$	−16.7954	−	2.32967i	−0.556761	−	0.0772278i
$911$	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	$0.536211\pi$
$912$	−0.453343	+	0.0986188i	−0.0150117	+	0.00326560i
$913$	−0.486975	+	0.891828i	−0.0161165	+	0.0295152i
$914$	−0.227048	+	1.57915i	−0.00751008	+	0.0522338i
$915$	0.0623017	−	0.0404778i	0.00205963	−	0.00133816i
$916$	−22.9122	+	3.29427i	−0.757039	+	0.108846i
$917$	2.49151	−	11.4533i	0.0822767	−	0.378220i
$918$	1.20891	−	0.0864628i	0.0398999	−	0.00285370i
$919$	−50.9405			−1.68037			−0.840186	−	0.542299i	$-0.817554\pi$
$919$	−50.9405			−1.68037			−0.840186	+	0.542299i	$0.817554\pi$
$920$	0.0882974	−	10.7234i	0.00291108	−	0.353541i
$921$	−4.49815			−0.148219
$922$	−6.81269	+	0.487253i	−0.224364	+	0.0160468i
$923$	−5.83224	+	26.8104i	−0.191971	+	0.882474i
$924$	−0.875697	+	0.125906i	−0.0288083	+	0.00414201i
$925$	−2.86308	+	46.5260i	−0.0941375	+	1.52977i
$926$	4.32176	−	30.0585i	0.142022	−	0.987784i
$927$	−15.3488	+	28.1092i	−0.504120	+	0.923226i
$928$	−5.89607	+	1.28261i	−0.193548	+	0.0421038i
$929$	−42.0041	−	19.1826i	−1.37811	−	0.629361i	−0.417862	−	0.908511i	$-0.637220\pi$
$929$	−42.0041	−	19.1826i	−1.37811	−	0.629361i	−0.960248	+	0.279149i	$0.909948\pi$
$930$	−0.454082	−	0.600340i	−0.0148899	−	0.0196859i
$931$	2.06975	−	1.79345i	0.0678333	−	0.0587779i
$932$	−0.0332434	+	0.464804i	−0.00108892	+	0.0152251i
$933$	−6.87623	+	3.75471i	−0.225118	+	0.122924i
$934$	−16.0526	+	35.1503i	−0.525257	+	1.15015i
$935$	−1.34185	+	2.97731i	−0.0438831	+	0.0973683i
$936$	−9.01995	+	2.64850i	−0.294826	+	0.0865688i
$937$	−15.3873	−	20.5550i	−0.502681	−	0.671503i	0.475390	−	0.879775i	$-0.342307\pi$
$937$	−15.3873	−	20.5550i	−0.502681	−	0.671503i	−0.978071	+	0.208272i	$0.933216\pi$
$938$	−4.26130	−	1.58938i	−0.139136	−	0.0518952i
$939$	−0.104914	−	0.729690i	−0.00342372	−	0.0238125i
$940$	−16.8739	+	14.7688i	−0.550366	+	0.481705i
$941$	−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
$943$	−16.8253	−	38.1680i	−0.547907	−	1.24292i
$944$			2.07903i			0.0676666i
$945$	7.03351	−	1.56670i	0.228800	−	0.0509646i
$946$	−9.06555	+	5.82607i	−0.294746	+	0.189422i
$947$	−14.0827	+	18.8123i	−0.457628	+	0.611319i	−0.968705	−	0.248216i	$-0.920156\pi$
$947$	−14.0827	+	18.8123i	−0.457628	+	0.611319i	0.511077	+	0.859535i	$0.329247\pi$
$948$	0.301871	−	0.809349i	0.00980433	−	0.0262864i
$949$	18.1529	+	2.60999i	0.589269	+	0.0847240i
$950$	−2.06535	+	9.97038i	−0.0670087	+	0.323482i
$951$	3.02363	+	1.94317i	0.0980479	+	0.0630115i
$952$	1.99278	−	0.743268i	0.0645864	−	0.0240895i
$953$	28.0571	+	51.3827i	0.908858	+	1.66445i	0.733217	+	0.679995i	$0.238018\pi$
$953$	28.0571	+	51.3827i	0.908858	+	1.66445i	0.175642	+	0.984454i	$0.443800\pi$
$954$	−16.6726	−	19.2412i	−0.539796	−	0.622958i
$955$	55.7870	−	4.26875i	1.80522	−	0.138133i
$956$	−23.2171	−	6.81715i	−0.750894	−	0.220482i
$957$	0.784477	+	2.10326i	0.0253585	+	0.0679888i
$958$	−8.09082	−	37.1929i	−0.261402	−	1.20165i
$959$	12.4014	+	42.2351i	0.400461	+	1.36384i
$960$	0.509427	−	0.00253190i	0.0164417	−	8.17166e-5i
$961$	−11.9709	−	26.2127i	−0.386159	−	0.845569i
$962$	23.7986	+	17.8154i	0.767297	+	0.574391i
$963$	55.1894	+	12.0057i	1.77845	+	0.386879i
$964$	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	−0.999621	−	0.0275449i	$-0.991231\pi$
$967$	−31.9414	−	31.9414i	−1.02717	−	1.02717i	−0.0275449	−	0.999621i	$-0.508769\pi$
$968$	0.594504	+	8.31225i	0.0191081	+	0.267166i
$969$	−0.224335	−	0.349072i	−0.00720668	−	0.0112138i
$970$	6.64668	−	12.3176i	0.213412	−	0.395496i
$971$	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	$0.0350518\pi$
$972$	4.81125	−	3.60166i	0.154321	−	0.115523i
$973$	22.8757	+	12.4911i	0.733361	+	0.400445i
$974$	−2.75276	+	4.28337i	−0.0882040	+	0.137248i
$975$	0.481180	−	3.60038i	0.0154101	−	0.115304i
$976$	0.0410882	−	0.139934i	0.00131520	−	0.00447917i
$977$	−48.6497	−	3.47950i	−1.55644	−	0.111319i	−0.733598	−	0.679584i	$-0.762160\pi$
$977$	−48.6497	−	3.47950i	−1.55644	−	0.111319i	−0.822846	+	0.568265i	$0.807615\pi$
$978$	−1.65801	−	0.118583i	−0.0530173	−	0.00379187i
$979$	7.22604	−	24.6096i	0.230945	−	0.786527i
$980$	−2.63214	+	1.45429i	−0.0840807	+	0.0464555i
$981$	−8.74016	+	13.6000i	−0.279052	+	0.434213i
$982$	−27.5113	−	15.0223i	−0.877922	−	0.479382i
$983$	19.0146	−	14.2341i	0.606471	−	0.453998i	−0.251386	−	0.967887i	$-0.580886\pi$
$983$	19.0146	−	14.2341i	0.606471	−	0.453998i	0.857857	+	0.513889i	$0.171796\pi$
$984$	1.80246	−	0.823154i	0.0574602	−	0.0262412i
$985$	−23.6432	+	7.07011i	−0.753336	+	0.225272i
$986$	−2.91764	−	4.53994i	−0.0929167	−	0.144581i
$987$	−0.387601	−	5.41937i	−0.0123375	−	0.172501i
$988$	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	$0.118472\pi$
$992$	−1.44381	−	0.314082i	−0.0458410	−	0.00997210i
$993$	−3.54585	−	2.65439i	−0.112524	−	0.0842345i
$994$	−8.50015	−	18.6127i	−0.269608	−	0.590360i
$995$	31.2203	−	31.5322i	0.989750	−	0.999637i
$996$	0.0399404	+	0.136024i	0.00126556	+	0.00431010i
$997$	11.6927	+	53.7506i	0.370312	+	1.70230i	0.665115	+	0.746741i	$0.268382\pi$
$997$	11.6927	+	53.7506i	0.370312	+	1.70230i	−0.294803	+	0.955558i	$0.595254\pi$
$998$	−2.88652	−	7.73906i	−0.0913712	−	0.244976i
$999$	−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.7.10	✓	240
5.3	odd	4	inner	230.2.l.a.53.4	yes	240
23.10	odd	22	inner	230.2.l.a.217.4	yes	240
115.33	even	44	inner	230.2.l.a.33.10	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.7.10	✓	240	1.1	even	1	trivial
230.2.l.a.33.10	yes	240	115.33	even	44	inner
230.2.l.a.53.4	yes	240	5.3	odd	4	inner
230.2.l.a.217.4	yes	240	23.10	odd	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.997452 - 0.0713392i) q^{2} +(0.0484278 - 0.222619i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-0.464445 + 2.18730i) q^{5} +(0.0324229 - 0.225507i) q^{6} +(1.13968 - 2.08717i) q^{7} +(0.977147 - 0.212565i) q^{8} +(2.68168 + 1.22468i) q^{9} +(-0.307222 + 2.21486i) q^{10} +(1.23410 - 1.06935i) q^{11} +(0.0162529 - 0.227245i) q^{12} +(-2.79870 + 1.52821i) q^{13} +(0.987880 - 2.16316i) q^{14} +(0.464443 + 0.209320i) q^{15} +(0.959493 - 0.281733i) q^{16} +(0.535981 + 0.715986i) q^{17} +(2.76222 + 1.03025i) q^{18} +(-0.289811 - 2.01568i) q^{19} +(-0.148432 + 2.23114i) q^{20} +(-0.409451 - 0.354791i) q^{21} +(1.15467 - 1.15467i) q^{22} +(-4.79541 - 0.0633219i) q^{23} -0.227825i q^{24} +(-4.56858 - 2.03176i) q^{25} +(-2.68255 + 1.72397i) q^{26} +(0.812098 - 1.08484i) q^{27} +(0.831045 - 2.22812i) q^{28} +(-5.97254 - 0.858722i) q^{29} +(0.478192 + 0.175654i) q^{30} +(-1.24302 - 0.798839i) q^{31} +(0.936950 - 0.349464i) q^{32} +(-0.178294 - 0.326521i) q^{33} +(0.585693 + 0.675926i) q^{34} +(4.03595 + 3.46220i) q^{35} +(2.82868 + 0.830575i) q^{36} +(-3.25799 - 8.73500i) q^{37} +(-0.432870 - 1.98987i) q^{38} +(0.204673 + 0.697051i) q^{39} +(0.0111133 + 2.23604i) q^{40} +(3.61309 + 7.91157i) q^{41} +(-0.433719 - 0.324678i) q^{42} +(-6.44843 - 1.40277i) 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} +(-0.0162529 - 0.227245i) q^{48} +(0.727082 + 1.13136i) q^{49} +(-4.70189 - 1.70067i) q^{50} +(0.185348 - 0.0846458i) q^{51} +(-2.55273 + 1.91095i) q^{52} +(-7.57966 - 4.13880i) q^{53} +(0.732637 - 1.14001i) q^{54} +(1.76583 + 3.19601i) q^{55} +(0.669976 - 2.28173i) q^{56} +(-0.462764 - 0.0330975i) q^{57} +(-6.01859 - 0.430458i) q^{58} +(-0.585730 + 1.99481i) q^{59} +(0.489505 + 0.141093i) q^{60} +(0.0788478 - 0.122690i) q^{61} +(-1.29684 - 0.708128i) q^{62} +(5.61238 - 4.20138i) q^{63} +(0.909632 - 0.415415i) q^{64} +(-2.04280 - 6.83137i) q^{65} +(-0.201133 - 0.312969i) q^{66} +(-0.136437 - 1.90764i) 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} +(2.88072 + 0.626663i) q^{72} +(-4.60418 - 3.44665i) q^{73} +(-3.87283 - 8.48032i) q^{74} +(-0.673555 + 0.918659i) q^{75} +(-0.573723 - 1.95392i) q^{76} +(-0.825443 - 3.79450i) q^{77} +(0.253878 + 0.680674i) q^{78} +(3.63797 + 1.06820i) q^{79} +(0.170602 + 2.22955i) q^{80} +(5.58960 + 6.45074i) q^{81} +(4.16829 + 7.63366i) q^{82} +(-0.583027 + 0.217458i) q^{83} +(-0.455776 - 0.292909i) q^{84} +(-1.81501 + 0.839815i) q^{85} +(-6.53208 - 0.939171i) q^{86} +(-0.480405 + 1.28802i) q^{87} +(0.978590 - 1.30724i) q^{88} +(13.2135 - 8.49180i) q^{89} +(-3.53637 + 5.56331i) q^{90} +7.58303i q^{91} +(-4.75561 + 0.619781i) q^{92} +(-0.238033 + 0.238033i) q^{93} +(7.57898 + 6.56722i) q^{94} +(4.54351 + 0.302269i) q^{95} +(-0.0324229 - 0.225507i) q^{96} +(-5.86478 - 2.18745i) q^{97} +(0.805940 + 1.07661i) 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

Related objects

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