LMFDB - Embedded newform 230.2.l.a.97.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(7,230)]

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

lf = mfeigenbasis(mf)

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")

//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);

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

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			97.10
Character	$\chi$	$=$	230.97
Dual form			230.2.l.a.83.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.479249 + 0.877679i) q^{2} +(0.125102 + 1.74915i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(-0.402612 + 2.19952i) q^{5} +(-1.47524 + 0.948077i) q^{6} +(0.229932 + 0.0857603i) q^{7} +(-0.997452 - 0.0713392i) q^{8} +(-0.0744076 + 0.0106982i) q^{9} +O(q^{10})$	\(q+(0.479249 + 0.877679i) q^{2} +(0.125102 + 1.74915i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(-0.402612 + 2.19952i) q^{5} +(-1.47524 + 0.948077i) q^{6} +(0.229932 + 0.0857603i) q^{7} +(-0.997452 - 0.0713392i) q^{8} +(-0.0744076 + 0.0106982i) q^{9} +(-2.12343 + 0.700755i) q^{10} +(-1.48670 - 5.06323i) q^{11} +(-1.53911 - 0.840419i) q^{12} +(-0.499267 - 1.33859i) q^{13} +(0.0349248 + 0.242907i) q^{14} +(-3.89766 - 0.429065i) q^{15} +(-0.415415 - 0.909632i) q^{16} +(-1.44043 + 6.62156i) q^{17} +(-0.0450493 - 0.0601789i) q^{18} +(6.43603 + 4.13618i) q^{19} +(-1.63269 - 1.52785i) q^{20} +(-0.121243 + 0.412915i) q^{21} +(3.73139 - 3.73139i) q^{22} +(4.20496 - 2.30615i) q^{23} -1.75362i q^{24} +(-4.67581 - 1.77111i) q^{25} +(0.935576 - 1.07971i) q^{26} +(1.09025 + 5.01181i) q^{27} +(-0.196457 + 0.147066i) q^{28} +(-3.62675 - 5.64333i) q^{29} +(-1.49137 - 3.62652i) q^{30} +(2.28609 + 2.63829i) q^{31} +(0.599278 - 0.800541i) q^{32} +(8.67035 - 3.23387i) q^{33} +(-6.50193 + 1.90914i) q^{34} +(-0.281205 + 0.471213i) q^{35} +(0.0312279 - 0.0683795i) q^{36} +(1.69213 + 1.26671i) q^{37} +(-0.545782 + 7.63103i) q^{38} +(2.27893 - 1.04075i) q^{39} +(0.558499 - 2.16520i) q^{40} +(0.230258 - 1.60148i) q^{41} +(-0.420512 + 0.0914767i) q^{42} +(9.13432 - 0.653300i) q^{43} +(5.06323 + 1.48670i) q^{44} +(0.00642648 - 0.167968i) q^{45} +(4.03928 + 2.58538i) q^{46} +(-1.51924 - 1.51924i) q^{47} +(1.53911 - 0.840419i) q^{48} +(-5.24473 - 4.54459i) q^{49} +(-0.686409 - 4.95266i) q^{50} +(-11.7623 - 1.69116i) q^{51} +(1.39601 + 0.303684i) q^{52} +(-0.284488 + 0.762743i) q^{53} +(-3.87626 + 3.35880i) q^{54} +(11.7352 - 1.23151i) q^{55} +(-0.223228 - 0.101945i) q^{56} +(-6.42965 + 11.7750i) q^{57} +(3.21492 - 5.88768i) q^{58} +(-3.27847 - 1.49723i) q^{59} +(2.46819 - 3.04695i) q^{60} +(6.49842 - 5.63091i) q^{61} +(-1.21996 + 3.27085i) q^{62} +(-0.0180262 - 0.00392136i) q^{63} +(0.989821 + 0.142315i) q^{64} +(3.14526 - 0.559218i) q^{65} +(6.99356 + 6.05995i) q^{66} +(10.0211 - 5.47194i) q^{67} +(-4.79165 - 4.79165i) q^{68} +(4.55985 + 7.06659i) q^{69} +(-0.548341 - 0.0209796i) q^{70} +(-4.61233 - 1.35430i) q^{71} +(0.0749812 - 0.00536276i) q^{72} +(-9.02273 + 1.96278i) q^{73} +(-0.300815 + 2.09222i) q^{74} +(2.51299 - 8.40025i) q^{75} +(-6.95916 + 3.17814i) q^{76} +(0.0923841 - 1.29170i) q^{77} +(2.00562 + 1.50139i) q^{78} +(-1.23720 + 2.70910i) q^{79} +(2.16801 - 0.547486i) q^{80} +(-8.84640 + 2.59754i) q^{81} +(1.51594 - 0.565415i) q^{82} +(7.53733 - 10.0687i) q^{83} +(-0.281817 - 0.325234i) q^{84} +(-13.9843 - 5.83418i) q^{85} +(4.95100 + 7.70391i) q^{86} +(9.41732 - 7.04972i) q^{87} +(1.12170 + 5.15639i) q^{88} +(-7.51830 + 8.67658i) q^{89} +(0.150502 - 0.0748583i) q^{90} -0.350601i q^{91} +(-0.333310 + 4.78423i) q^{92} +(-4.32877 + 4.32877i) q^{93} +(0.605311 - 2.06150i) q^{94} +(-11.6889 + 12.4909i) q^{95} +(1.47524 + 0.948077i) q^{96} +(-0.636606 - 0.850406i) q^{97} +(1.47516 - 6.78118i) q^{98} +(0.164789 + 0.360837i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) $ 240 * q - 8 * q^3 - 8 * q^6	$ 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}+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

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	0.479249	+	0.877679i	0.338880	+	0.620613i
$2$	0.479249	+	0.877679i	0.338880	+	0.620613i
$3$	0.125102	+	1.74915i	0.0722274	+	1.00987i	0.896317	+	0.443413i	$0.146232\pi$
$3$	0.125102	+	1.74915i	0.0722274	+	1.00987i	−0.824090	+	0.566459i	$0.808313\pi$
$4$	−0.540641	+	0.841254i	−0.270320	+	0.420627i
$5$	−0.402612	+	2.19952i	−0.180054	+	0.983657i
$5$	−0.402612	+	2.19952i	−0.180054	+	0.983657i
$6$	−1.47524	+	0.948077i	−0.602263	+	0.387051i
$7$	0.229932	+	0.0857603i	0.0869062	+	0.0324143i	0.392541	−	0.919734i	$-0.371596\pi$
$7$	0.229932	+	0.0857603i	0.0869062	+	0.0324143i	−0.305635	+	0.952149i	$0.598869\pi$
$8$	−0.997452	−	0.0713392i	−0.352653	−	0.0252222i
$9$	−0.0744076	+	0.0106982i	−0.0248025	+	0.00356607i
$10$	−2.12343	+	0.700755i	−0.671487	+	0.221598i
$11$	−1.48670	−	5.06323i	−0.448256	−	1.52662i	−0.805492	−	0.592606i	$-0.798099\pi$
$11$	−1.48670	−	5.06323i	−0.448256	−	1.52662i	0.357236	−	0.934014i	$-0.383719\pi$
$12$	−1.53911	−	0.840419i	−0.444304	−	0.242608i
$13$	−0.499267	−	1.33859i	−0.138472	−	0.371257i	0.849141	−	0.528166i	$-0.177120\pi$
$13$	−0.499267	−	1.33859i	−0.138472	−	0.371257i	−0.987613	+	0.156909i	$0.949847\pi$
$14$	0.0349248	+	0.242907i	0.00933404	+	0.0649197i
$15$	−3.89766	−	0.429065i	−1.00637	−	0.110784i
$16$	−0.415415	−	0.909632i	−0.103854	−	0.227408i
$17$	−1.44043	+	6.62156i	−0.349356	+	1.60596i	0.382131	+	0.924108i	$0.375190\pi$
$17$	−1.44043	+	6.62156i	−0.349356	+	1.60596i	−0.731487	+	0.681855i	$0.761173\pi$
$18$	−0.0450493	−	0.0601789i	−0.0106182	−	0.0141843i
$19$	6.43603	+	4.13618i	1.47653	+	0.948906i	0.997468	+	0.0711228i	$0.0226582\pi$
$19$	6.43603	+	4.13618i	1.47653	+	0.948906i	0.479059	+	0.877783i	$0.340978\pi$
$20$	−1.63269	−	1.52785i	−0.365080	−	0.341638i
$21$	−0.121243	+	0.412915i	−0.0264573	+	0.0901053i
$22$	3.73139	−	3.73139i	0.795535	−	0.795535i
$23$	4.20496	−	2.30615i	0.876794	−	0.480866i
$23$	4.20496	−	2.30615i	0.876794	−	0.480866i
$24$		−	1.75362i		−	0.357956i
$25$	−4.67581	−	1.77111i	−0.935161	−	0.354222i
$26$	0.935576	−	1.07971i	0.183482	−	0.211749i
$27$	1.09025	+	5.01181i	0.209819	+	0.964524i
$28$	−0.196457	+	0.147066i	−0.0371269	+	0.0277928i
$29$	−3.62675	−	5.64333i	−0.673471	−	1.04794i	−0.994886	−	0.101002i	$-0.967795\pi$
$29$	−3.62675	−	5.64333i	−0.673471	−	1.04794i	0.321416	−	0.946938i	$-0.395841\pi$
$30$	−1.49137	−	3.62652i	−0.272285	−	0.662110i
$31$	2.28609	+	2.63829i	0.410594	+	0.473850i	0.922949	−	0.384923i	$-0.125772\pi$
$31$	2.28609	+	2.63829i	0.410594	+	0.473850i	−0.512355	+	0.858774i	$0.671227\pi$
$32$	0.599278	−	0.800541i	0.105938	−	0.141517i
$33$	8.67035	−	3.23387i	1.50931	−	0.562945i
$34$	−6.50193	+	1.90914i	−1.11507	+	0.327414i
$35$	−0.281205	+	0.471213i	−0.0475324	+	0.0796496i
$36$	0.0312279	−	0.0683795i	0.00520465	−	0.0113966i
$37$	1.69213	+	1.26671i	0.278184	+	0.208246i	0.729255	−	0.684242i	$-0.239867\pi$
$37$	1.69213	+	1.26671i	0.278184	+	0.208246i	−0.451071	+	0.892488i	$0.648958\pi$
$38$	−0.545782	+	7.63103i	−0.0885375	+	1.23792i
$39$	2.27893	−	1.04075i	0.364920	−	0.166654i
$40$	0.558499	−	2.16520i	0.0883064	−	0.342348i
$41$	0.230258	−	1.60148i	0.0359602	−	0.250109i	−0.963910	−	0.266229i	$-0.914222\pi$
$41$	0.230258	−	1.60148i	0.0359602	−	0.250109i	0.999870	+	0.0161200i	$0.00513137\pi$
$42$	−0.420512	+	0.0914767i	−0.0648864	+	0.0141152i
$43$	9.13432	−	0.653300i	1.39297	−	0.0996272i	0.645418	−	0.763830i	$-0.276683\pi$
$43$	9.13432	−	0.653300i	1.39297	−	0.0996272i	0.747553	+	0.664202i	$0.231229\pi$
$44$	5.06323	+	1.48670i	0.763310	+	0.224128i
$45$	0.00642648	−	0.167968i	0.000958004	−	0.0250393i
$46$	4.03928	+	2.58538i	0.595560	+	0.381193i
$47$	−1.51924	−	1.51924i	−0.221604	−	0.221604i	0.587570	−	0.809174i	$-0.300085\pi$
$47$	−1.51924	−	1.51924i	−0.221604	−	0.221604i	−0.809174	+	0.587570i	$0.800085\pi$
$48$	1.53911	−	0.840419i	0.222152	−	0.121304i
$49$	−5.24473	−	4.54459i	−0.749248	−	0.649227i
$50$	−0.686409	−	4.95266i	−0.0970729	−	0.700412i
$51$	−11.7623	−	1.69116i	−1.64705	−	0.236810i
$52$	1.39601	+	0.303684i	0.193592	+	0.0421134i
$53$	−0.284488	+	0.762743i	−0.0390775	+	0.104771i	−0.955023	−	0.296532i	$-0.904170\pi$
$53$	−0.284488	+	0.762743i	−0.0390775	+	0.104771i	0.915945	+	0.401303i	$0.131443\pi$
$54$	−3.87626	+	3.35880i	−0.527492	+	0.457075i
$55$	11.7352	−	1.23151i	1.58238	−	0.166057i
$56$	−0.223228	−	0.101945i	−0.0298301	−	0.0136230i
$57$	−6.42965	+	11.7750i	−0.851627	+	1.55964i
$58$	3.21492	−	5.88768i	0.422139	−	0.773091i
$59$	−3.27847	−	1.49723i	−0.426820	−	0.194922i	0.190410	−	0.981705i	$-0.439018\pi$
$59$	−3.27847	−	1.49723i	−0.426820	−	0.194922i	−0.617231	+	0.786782i	$0.711745\pi$
$60$	2.46819	−	3.04695i	0.318642	−	0.393360i
$61$	6.49842	−	5.63091i	0.832038	−	0.720965i	−0.130694	−	0.991423i	$-0.541721\pi$
$61$	6.49842	−	5.63091i	0.832038	−	0.720965i	0.962732	+	0.270458i	$0.0871751\pi$
$62$	−1.21996	+	3.27085i	−0.154936	+	0.415398i
$63$	−0.0180262	−	0.00392136i	−0.00227109	−	0.000494044i
$64$	0.989821	+	0.142315i	0.123728	+	0.0177894i
$65$	3.14526	−	0.559218i	0.390122	−	0.0693624i
$66$	6.99356	+	6.05995i	0.860847	+	0.745929i
$67$	10.0211	−	5.47194i	1.22427	−	0.668504i	0.268690	−	0.963227i	$-0.413409\pi$
$67$	10.0211	−	5.47194i	1.22427	−	0.668504i	0.955583	+	0.294723i	$0.0952274\pi$
$68$	−4.79165	−	4.79165i	−0.581073	−	0.581073i
$69$	4.55985	+	7.06659i	0.548942	+	0.850718i
$70$	−0.548341	−	0.0209796i	−0.0655393	−	0.00250754i
$71$	−4.61233	−	1.35430i	−0.547383	−	0.160726i	−0.00366366	−	0.999993i	$-0.501166\pi$
$71$	−4.61233	−	1.35430i	−0.547383	−	0.160726i	−0.543719	+	0.839267i	$0.682984\pi$
$72$	0.0749812	−	0.00536276i	0.00883662	−	0.000632008i
$73$	−9.02273	+	1.96278i	−1.05603	+	0.229726i	−0.706875	−	0.707339i	$-0.749896\pi$
$73$	−9.02273	+	1.96278i	−1.05603	+	0.229726i	−0.349157	+	0.937064i	$0.613532\pi$
$74$	−0.300815	+	2.09222i	−0.0349691	+	0.243215i
$75$	2.51299	−	8.40025i	0.290175	−	0.969977i
$76$	−6.95916	+	3.17814i	−0.798270	+	0.364558i
$77$	0.0923841	−	1.29170i	0.0105281	−	0.147203i
$78$	2.00562	+	1.50139i	0.227092	+	0.169999i
$79$	−1.23720	+	2.70910i	−0.139196	+	0.304798i	−0.966373	−	0.257145i	$-0.917218\pi$
$79$	−1.23720	+	2.70910i	−0.139196	+	0.304798i	0.827177	+	0.561942i	$0.189946\pi$
$80$	2.16801	−	0.547486i	0.242391	−	0.0612108i
$81$	−8.84640	+	2.59754i	−0.982933	+	0.288615i
$82$	1.51594	−	0.565415i	0.167407	−	0.0624396i
$83$	7.53733	−	10.0687i	0.827329	−	1.10518i	−0.165567	−	0.986198i	$-0.552946\pi$
$83$	7.53733	−	10.0687i	0.827329	−	1.10518i	0.992896	−	0.118984i	$-0.0379636\pi$
$84$	−0.281817	−	0.325234i	−0.0307488	−	0.0354860i
$85$	−13.9843	−	5.83418i	−1.51681	−	0.632806i
$86$	4.95100	+	7.70391i	0.533880	+	0.830734i
$87$	9.41732	−	7.04972i	1.00964	−	0.755809i
$88$	1.12170	+	5.15639i	0.119574	+	0.549673i
$89$	−7.51830	+	8.67658i	−0.796938	+	0.919715i	−0.998209	−	0.0598201i	$-0.980947\pi$
$89$	−7.51830	+	8.67658i	−0.796938	+	0.919715i	0.201271	+	0.979536i	$0.435493\pi$
$90$	0.150502	−	0.0748583i	0.0158643	−	0.00789076i
$91$		−	0.350601i		−	0.0367530i
$92$	−0.333310	+	4.78423i	−0.0347500	+	0.498791i
$93$	−4.32877	+	4.32877i	−0.448872	+	0.448872i
$94$	0.605311	−	2.06150i	0.0624331	−	0.212627i
$95$	−11.6889	+	12.4909i	−1.19925	+	1.28154i
$96$	1.47524	+	0.948077i	0.150566	+	0.0967627i
$97$	−0.636606	−	0.850406i	−0.0646375	−	0.0863456i	0.767057	−	0.641578i	$-0.221720\pi$
$97$	−0.636606	−	0.850406i	−0.0646375	−	0.0863456i	−0.831695	+	0.555233i	$0.812629\pi$
$98$	1.47516	−	6.78118i	0.149013	−	0.685003i
$99$	0.164789	+	0.360837i	0.0165619	+	0.0362655i
$100$	4.01789	−	2.97600i	0.401789	−	0.297600i
$101$	−0.731764	−	5.08953i	−0.0728132	−	0.506427i	−0.993292	−	0.115634i	$-0.963110\pi$
$101$	−0.731764	−	5.08953i	−0.0728132	−	0.506427i	0.920479	−	0.390793i	$-0.127799\pi$
$102$	−4.15277	−	11.1340i	−0.411185	−	1.10243i
$103$	−9.80258	−	5.35262i	−0.965877	−	0.527409i	−0.0827642	−	0.996569i	$-0.526375\pi$
$103$	−9.80258	−	5.35262i	−0.965877	−	0.527409i	−0.883113	+	0.469160i	$0.844557\pi$
$104$	0.402501	+	1.37079i	0.0394685	+	0.134417i
$105$	−0.859401	−	0.432921i	−0.0838690	−	0.0422487i
$106$	−0.805784	+	0.115854i	−0.0782647	+	0.0112528i
$107$	−5.71516	−	0.408756i	−0.552505	−	0.0395160i	−0.207704	−	0.978192i	$-0.566599\pi$
$107$	−5.71516	−	0.408756i	−0.552505	−	0.0395160i	−0.344801	+	0.938676i	$0.612054\pi$
$108$	−4.80564	−	1.79241i	−0.462423	−	0.172475i
$109$	12.6726	−	8.14418i	1.21381	−	0.780071i	0.232522	−	0.972591i	$-0.425302\pi$
$109$	12.6726	−	8.14418i	1.21381	−	0.780071i	0.981293	+	0.192520i	$0.0616660\pi$
$110$	6.70497	+	9.70958i	0.639294	+	0.925772i
$111$	−2.00398	+	3.11825i	−0.190209	+	0.295972i
$112$	−0.0175070	−	0.244780i	−0.00165426	−	0.0231295i
$113$	4.26399	+	7.80891i	0.401122	+	0.734600i	0.997688	−	0.0679640i	$-0.0216503\pi$
$113$	4.26399	+	7.80891i	0.401122	+	0.734600i	−0.596566	+	0.802564i	$0.703469\pi$
$114$	−13.4161			−1.25653
$115$	3.37947	+	10.1774i	0.315138	+	0.949046i
$116$	6.70824			0.622845
$117$	0.0514697	+	0.0942597i	0.00475838	+	0.00871431i
$118$	−0.257119	−	3.59499i	−0.0236697	−	0.330945i
$119$	−0.899068	+	1.39898i	−0.0824175	+	0.128244i
$120$	3.85712	+	0.706028i	0.352105	+	0.0644512i
$121$	−14.1722	+	9.10792i	−1.28838	+	0.827993i
$122$	8.05650	+	3.00492i	0.729401	+	0.272053i
$123$	2.83003	+	0.202408i	0.255175	+	0.0182505i
$124$	−3.45542	+	0.496815i	−0.310306	+	0.0446153i
$125$	5.77814	−	9.57147i	0.516812	−	0.856099i
$126$	−0.00519734	−	0.0177005i	−0.000463016	−	0.00157689i
$127$	−8.57513	−	4.68238i	−0.760920	−	0.415494i	0.0514206	−	0.998677i	$-0.483625\pi$
$127$	−8.57513	−	4.68238i	−0.760920	−	0.415494i	−0.812341	+	0.583183i	$0.801807\pi$
$128$	0.349464	+	0.936950i	0.0308886	+	0.0828154i
$129$	2.28544	+	15.8956i	0.201221	+	1.39953i
$130$	1.99818	+	2.49253i	0.175252	+	0.218609i
$131$	−0.506783	−	1.10970i	−0.0442778	−	0.0969549i	0.886200	−	0.463302i	$-0.153336\pi$
$131$	−0.506783	−	1.10970i	−0.0442778	−	0.0969549i	−0.930478	+	0.366347i	$0.880608\pi$
$132$	−1.96704	+	9.04232i	−0.171209	+	0.787033i
$133$	1.12513	+	1.50300i	0.0975611	+	0.130326i
$134$	9.60521	+	6.17289i	0.829764	+	0.533257i
$135$	−11.4625	+	0.380219i	−0.986539	+	0.0327241i
$136$	1.90914	−	6.50193i	0.163707	−	0.557536i
$137$	−9.64816	+	9.64816i	−0.824298	+	0.824298i	−0.986721	−	0.162423i	$-0.948069\pi$
$137$	−9.64816	+	9.64816i	−0.824298	+	0.824298i	0.162423	+	0.986721i	$0.448069\pi$
$138$	−4.01689	+	7.38874i	−0.341941	+	0.628972i
$139$			3.12457i			0.265023i	0.991181	+	0.132511i	$0.0423041\pi$
$139$			3.12457i			0.265023i	−0.991181	+	0.132511i	$0.957696\pi$
$140$	−0.244379	−	0.491322i	−0.0206538	−	0.0415243i
$141$	2.46732	−	2.84744i	0.207786	−	0.239797i
$142$	−1.02181	−	4.69719i	−0.0857485	−	0.394180i
$143$	−6.03531	+	4.51797i	−0.504698	+	0.377812i
$144$	0.0406415	+	0.0632393i	0.00338679	+	0.00526994i
$145$	13.8728	−	5.70505i	1.15207	−	0.473778i
$146$	−6.04682	−	6.97841i	−0.500439	−	0.577537i
$147$	7.29304	−	9.74235i	0.601519	−	0.803536i
$148$	−1.98046	+	0.738673i	−0.162793	+	0.0607186i
$149$	−17.2155	+	5.05494i	−1.41035	+	0.414117i	−0.896226	−	0.443598i	$-0.853702\pi$
$149$	−17.2155	+	5.05494i	−1.41035	+	0.414117i	−0.514126	+	0.857715i	$0.671884\pi$
$150$	8.57707	−	1.82022i	0.700315	−	0.148620i
$151$	5.26709	−	11.5333i	0.428630	−	0.938569i	−0.564917	−	0.825148i	$-0.691092\pi$
$151$	5.26709	−	11.5333i	0.428630	−	0.938569i	0.993547	−	0.113421i	$-0.0361809\pi$
$152$	−6.12456	−	4.58479i	−0.496767	−	0.371875i
$153$	0.0363403	−	0.508104i	0.00293794	−	0.0410778i
$154$	1.17797	−	0.537962i	0.0949237	−	0.0433502i
$155$	−6.72338	+	3.96610i	−0.540035	+	0.318565i
$156$	−0.356546	+	2.47983i	−0.0285465	+	0.198545i
$157$	1.38992	−	0.302358i	0.110927	−	0.0241308i	−0.156759	−	0.987637i	$-0.550105\pi$
$157$	1.38992	−	0.302358i	0.110927	−	0.0241308i	0.267686	+	0.963506i	$0.413741\pi$
$158$	−2.97065	+	0.212465i	−0.236332	+	0.0169028i
$159$	−1.36974	−	0.402192i	−0.108628	−	0.0318959i
$160$	1.51953	+	1.64043i	0.120130	+	0.129688i
$161$	1.16463	−	0.169641i	0.0917858	−	0.0133696i
$162$	−6.51943	−	6.51943i	−0.512215	−	0.512215i
$163$	5.48467	−	2.99486i	0.429593	−	0.234575i	−0.249879	−	0.968277i	$-0.580391\pi$
$163$	5.48467	−	2.99486i	0.429593	−	0.234575i	0.679472	+	0.733702i	$0.262209\pi$
$164$	1.22276	+	1.05953i	0.0954817	+	0.0827354i
$165$	3.62219	+	20.3726i	0.281987	+	1.58601i
$166$	12.4493	+	1.78994i	0.966255	+	0.138927i
$167$	−17.4333	−	3.79237i	−1.34903	−	0.293463i	−0.520714	−	0.853731i	$-0.674334\pi$
$167$	−17.4333	−	3.79237i	−1.34903	−	0.293463i	−0.828311	+	0.560268i	$0.810698\pi$
$168$	0.150391	−	0.403213i	0.0116029	−	0.0311086i
$169$	8.28220	−	7.17657i	0.637092	−	0.552044i
$170$	−1.58144	−	15.0698i	−0.121291	−	1.15580i
$171$	−0.523139	−	0.238910i	−0.0400054	−	0.0182699i
$172$	−4.38880	+	8.03748i	−0.334643	+	0.612852i
$173$	0.608696	−	1.11474i	0.0462783	−	0.0847524i	−0.853516	−	0.521066i	$-0.825534\pi$
$173$	0.608696	−	1.11474i	0.0462783	−	0.0847524i	0.899795	+	0.436314i	$0.143716\pi$
$174$	10.7006	+	4.88681i	0.811213	+	0.370468i
$175$	−0.923228	−	0.808234i	−0.0697895	−	0.0610967i
$176$	−3.98808	+	3.45569i	−0.300613	+	0.260482i
$177$	2.20873	−	5.92184i	0.166018	−	0.445112i
$178$	−11.2184	−	2.44041i	−0.840854	−	0.182917i
$179$	7.05640	+	1.01456i	0.527420	+	0.0758316i	0.400881	−	0.916130i	$-0.368704\pi$
$179$	7.05640	+	1.01456i	0.527420	+	0.0758316i	0.126539	+	0.991962i	$0.459613\pi$
$180$	0.137830	+	0.0962169i	0.0102732	+	0.00717158i
$181$	−9.91174	−	8.58857i	−0.736734	−	0.638384i	0.203436	−	0.979088i	$-0.434789\pi$
$181$	−9.91174	−	8.58857i	−0.736734	−	0.638384i	−0.940170	+	0.340705i	$0.889334\pi$
$182$	0.307715	−	0.168025i	0.0228094	−	0.0124549i
$183$	10.6623	+	10.6623i	0.788178	+	0.788178i
$184$	−4.35876	+	2.00030i	−0.321332	+	0.147464i
$185$	−3.46743	+	3.21188i	−0.254931	+	0.236142i
$186$	−5.87382	−	1.72471i	−0.430690	−	0.126462i
$187$	35.6679	−	2.55102i	2.60830	−	0.186549i
$188$	2.09943	−	0.456703i	0.153117	−	0.0333085i
$189$	−0.179130	+	1.24588i	−0.0130298	+	0.0906243i
$190$	−16.5649	−	4.27281i	−1.20174	−	0.309982i
$191$	9.60602	−	4.38692i	0.695067	−	0.317427i	−0.0363670	−	0.999339i	$-0.511579\pi$
$191$	9.60602	−	4.38692i	0.695067	−	0.317427i	0.731434	+	0.681912i	$0.238851\pi$
$192$	−0.125102	+	1.74915i	−0.00902843	+	0.126234i
$193$	15.8973	+	11.9006i	1.14431	+	0.856622i	0.991303	−	0.131603i	$-0.0420123\pi$
$193$	15.8973	+	11.9006i	1.14431	+	0.856622i	0.153010	+	0.988225i	$0.451103\pi$
$194$	0.441291	−	0.966292i	0.0316828	−	0.0693757i
$195$	1.37163	+	5.43157i	0.0982247	+	0.388963i
$196$	6.65867	−	1.95516i	0.475619	−	0.139654i
$197$	−10.3365	+	3.85530i	−0.736443	+	0.274679i	−0.689567	−	0.724222i	$-0.742199\pi$
$197$	−10.3365	+	3.85530i	−0.736443	+	0.274679i	−0.0468756	+	0.998901i	$0.514926\pi$
$198$	−0.237725	+	0.317563i	−0.0168943	+	0.0225682i
$199$	−14.7946	−	17.0738i	−1.04876	−	1.21033i	−0.977073	−	0.212904i	$-0.931708\pi$
$199$	−14.7946	−	17.0738i	−1.04876	−	1.21033i	−0.0716848	−	0.997427i	$-0.522838\pi$
$200$	4.53754	+	2.10017i	0.320853	+	0.148504i
$201$	10.8249	+	16.8439i	0.763529	+	1.18807i
$202$	4.11628	−	3.08140i	0.289620	−	0.216807i
$203$	−0.349933	−	1.60862i	−0.0245605	−	0.112903i
$204$	7.78187	−	8.98076i	0.544840	−	0.628779i
$205$	3.42979	+	1.15123i	0.239547	+	0.0804056i
$206$		−	11.1688i		−	0.778164i
$207$	−0.288209	+	0.216581i	−0.0200319	+	0.0150534i
$208$	−1.01022	+	1.01022i	−0.0700460	+	0.0700460i
$209$	11.3740	−	38.7363i	0.786757	−	2.67945i
$210$	−0.0319020	−	0.961755i	−0.00220145	−	0.0663674i
$211$	−5.08949	−	3.27082i	−0.350375	−	0.225172i	0.353600	−	0.935397i	$-0.384957\pi$
$211$	−5.08949	−	3.27082i	−0.350375	−	0.225172i	−0.703976	+	0.710224i	$0.748594\pi$
$212$	−0.487854	−	0.651697i	−0.0335060	−	0.0447587i
$213$	1.79187	−	8.23708i	0.122777	−	0.564395i
$214$	−2.38023	−	5.21197i	−0.162709	−	0.356283i
$215$	−2.24064	+	20.3542i	−0.152811	+	1.38814i
$216$	−0.729937	−	5.07682i	−0.0496659	−	0.345434i
$217$	0.299385	+	0.802683i	0.0203236	+	0.0544897i
$218$	13.2213	+	7.21938i	0.895460	+	0.488958i
$219$	−4.56195	−	15.5366i	−0.308268	−	1.04986i
$220$	−5.30854	+	10.5381i	−0.357902	+	0.710480i
$221$	9.58269	−	1.37778i	0.644601	−	0.0926797i
$222$	−3.69723	−	0.264431i	−0.248142	−	0.0177475i
$223$	−8.71090	−	3.24900i	−0.583325	−	0.217569i	0.0404387	−	0.999182i	$-0.487124\pi$
$223$	−8.71090	−	3.24900i	−0.583325	−	0.217569i	−0.623764	+	0.781613i	$0.714397\pi$
$224$	0.206448	−	0.132676i	0.0137939	−	0.00886479i
$225$	0.366863	+	0.0817614i	0.0244575	+	0.00545076i
$226$	−4.81020	+	7.48482i	−0.319970	+	0.497883i
$227$	1.68420	+	23.5482i	0.111785	+	1.56295i	0.675736	+	0.737144i	$0.263826\pi$
$227$	1.68420	+	23.5482i	0.111785	+	1.56295i	−0.563951	+	0.825808i	$0.690720\pi$
$228$	−6.42965	−	11.7750i	−0.425814	−	0.779819i
$229$	15.3294			1.01300			0.506499	−	0.862240i	$-0.330939\pi$
$229$	15.3294			1.01300			0.506499	+	0.862240i	$0.330939\pi$
$230$	−7.31287	+	7.84359i	−0.482196	+	0.517191i
$231$	2.27093			0.149416
$232$	3.21492	+	5.88768i	0.211070	+	0.386545i
$233$	0.0945293	+	1.32169i	0.00619282	+	0.0865869i	0.999609	−	0.0279785i	$-0.00890700\pi$
$233$	0.0945293	+	1.32169i	0.00619282	+	0.0865869i	−0.993416	+	0.114565i	$0.963452\pi$
$234$	−0.0580630	+	0.0903478i	−0.00379570	+	0.00590622i
$235$	3.95327	−	2.72994i	0.257883	−	0.178082i
$236$	3.03202	−	1.94856i	0.197368	−	0.126841i
$237$	−4.89340	−	1.82514i	−0.317860	−	0.118556i
$238$	−1.65873	−	0.118635i	−0.107520	−	0.00768995i
$239$	15.9713	−	2.29633i	1.03310	−	0.148537i	0.395151	−	0.918616i	$-0.370692\pi$
$239$	15.9713	−	2.29633i	1.03310	−	0.148537i	0.637949	+	0.770079i	$0.279783\pi$
$240$	1.22886	+	3.72368i	0.0793223	+	0.240362i
$241$	6.83317	+	23.2717i	0.440163	+	1.49906i	0.819108	+	0.573640i	$0.194469\pi$
$241$	6.83317	+	23.2717i	0.440163	+	1.49906i	−0.378944	+	0.925419i	$0.623713\pi$
$242$	−14.7858	−	8.07368i	−0.950470	−	0.518996i
$243$	−0.272944	−	0.731791i	−0.0175094	−	0.0469444i
$244$	1.22371	+	8.51112i	0.0783403	+	0.544869i
$245$	12.1075	−	9.70621i	0.773521	−	0.620107i
$246$	1.17864	+	2.58086i	0.0751474	+	0.164550i
$247$	2.32334	−	10.6802i	0.147831	−	0.679567i
$248$	−2.09205	−	2.79465i	−0.132845	−	0.177461i
$249$	18.5546	+	11.9243i	1.17585	+	0.755672i
$250$	11.1698	+	0.484230i	0.706443	+	0.0306254i
$251$	0.467128	−	1.59089i	0.0294849	−	0.100416i	−0.943436	−	0.331555i	$-0.892427\pi$
$251$	0.467128	−	1.59089i	0.0294849	−	0.100416i	0.972921	+	0.231138i	$0.0742450\pi$
$252$	0.0130445	−	0.0130445i	0.000821729	−	0.000821729i
$253$	−17.9281	−	17.8621i	−1.12713	−	1.12298i
$254$		−	9.77024i		−	0.613039i
$255$	8.45539	−	25.1906i	0.529497	−	1.57749i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−2.66759	−	12.2627i	−0.166400	−	0.764927i	−0.982387	−	0.186857i	$-0.940170\pi$
$257$	−2.66759	−	12.2627i	−0.166400	−	0.764927i	0.815987	−	0.578070i	$-0.196194\pi$
$258$	−12.8559	+	9.62381i	−0.800374	+	0.599152i
$259$	0.280441	+	0.436375i	0.0174258	+	0.0271150i
$260$	−1.23001	+	2.94830i	−0.0762822	+	0.182846i
$261$	0.330231	+	0.381107i	0.0204408	+	0.0235899i
$262$	0.731085	−	0.976615i	0.0451666	−	0.0603355i
$263$	6.13562	−	2.28847i	0.378338	−	0.141113i	−0.153098	−	0.988211i	$-0.548925\pi$
$263$	6.13562	−	2.28847i	0.378338	−	0.141113i	0.531437	+	0.847098i	$0.321652\pi$
$264$	−8.87896	+	2.60710i	−0.546462	+	0.160456i
$265$	−1.56313	−	0.932829i	−0.0960225	−	0.0573032i
$266$	−0.779932	+	1.70781i	−0.0478207	+	0.104713i
$267$	−16.1172	−	12.0652i	−0.986355	−	0.738376i
$268$	−0.814532	+	11.3886i	−0.0497555	+	0.695672i
$269$	12.2575	−	5.59783i	0.747355	−	0.341305i	−0.00506694	−	0.999987i	$-0.501613\pi$
$269$	12.2575	−	5.59783i	0.747355	−	0.341305i	0.752422	+	0.658682i	$0.228886\pi$
$270$	−5.82713	−	9.87822i	−0.354628	−	0.601169i
$271$	−0.590447	+	4.10665i	−0.0358671	+	0.249461i	−0.999865	−	0.0164499i	$-0.994764\pi$
$271$	−0.590447	+	4.10665i	−0.0358671	+	0.249461i	0.963998	+	0.265911i	$0.0856727\pi$
$272$	6.62156	−	1.44043i	0.401491	−	0.0873390i
$273$	0.613254	−	0.0438608i	0.0371158	−	0.00265458i
$274$	−13.0919	−	3.84412i	−0.790908	−	0.232231i
$275$	−2.01602	+	26.3078i	−0.121571	+	1.58642i
$276$	−8.41004	+	0.0155065i	−0.506225	+	0.000933380i
$277$	−0.156149	−	0.156149i	−0.00938207	−	0.00938207i	0.702400	−	0.711782i	$-0.252112\pi$
$277$	−0.156149	−	0.156149i	−0.00938207	−	0.00938207i	−0.711782	+	0.702400i	$0.752112\pi$
$278$	−2.74237	+	1.49745i	−0.164477	+	0.0898110i
$279$	−0.198327	−	0.171852i	−0.0118735	−	0.0102885i
$280$	0.314105	−	0.449952i	0.0187714	−	0.0268898i
$281$	12.7191	+	1.82873i	0.758759	+	0.109093i	0.510826	−	0.859684i	$-0.329340\pi$
$281$	12.7191	+	1.82873i	0.758759	+	0.109093i	0.247933	+	0.968777i	$0.420249\pi$
$282$	3.68160	+	0.800882i	0.219236	+	0.0476918i
$283$	−8.17564	+	21.9197i	−0.485991	+	1.30299i	0.430374	+	0.902651i	$0.358382\pi$
$283$	−8.17564	+	21.9197i	−0.485991	+	1.30299i	−0.916365	+	0.400343i	$0.868891\pi$
$284$	3.63293	−	3.14795i	0.215574	−	0.186796i
$285$	−23.3108	−	18.8829i	−1.38081	−	1.11853i
$286$	−6.85774	−	3.13183i	−0.405507	−	0.185189i
$287$	0.190287	−	0.348485i	0.0112323	−	0.0205704i
$288$	−0.0360265	+	0.0659775i	−0.00212288	+	0.00388776i
$289$	−26.3064	−	12.0137i	−1.54744	−	0.706691i
$290$	11.6557	+	9.44174i	0.684448	+	0.554438i
$291$	1.40785	−	1.21991i	0.0825294	−	0.0715121i
$292$	3.22687	−	8.65156i	0.188838	−	0.506294i
$293$	−22.1934	−	4.82787i	−1.29655	−	0.282047i	−0.489227	−	0.872156i	$-0.662721\pi$
$293$	−22.1934	−	4.82787i	−1.29655	−	0.282047i	−0.807324	+	0.590109i	$0.799085\pi$
$294$	12.0458	+	1.73193i	0.702528	+	0.101008i
$295$	4.61314	−	6.60827i	0.268587	−	0.384748i
$296$	−1.59745	−	1.38420i	−0.0928500	−	0.0804550i
$297$	23.7551	−	12.9712i	1.37841	−	0.752668i
$298$	−12.6871	−	12.6871i	−0.734947	−	0.734947i
$299$	−5.18638	−	4.47731i	−0.299936	−	0.258929i
$300$	5.70812	+	6.65558i	0.329558	+	0.384260i
$301$	2.15630	+	0.633147i	0.124287	+	0.0364940i
$302$	12.6468	−	0.904517i	0.727742	−	0.0520491i
$303$	8.81080	−	1.91667i	0.506167	−	0.110110i
$304$	1.08878	−	7.57265i	0.0624460	−	0.434321i
$305$	9.76898	+	16.5605i	0.559370	+	0.948252i
$306$	0.463368	−	0.211613i	0.0264890	−	0.0120971i
$307$	−0.492862	+	6.89111i	−0.0281291	+	0.393296i	0.963811	+	0.266587i	$0.0858960\pi$
$307$	−0.492862	+	6.89111i	−0.0281291	+	0.393296i	−0.991940	+	0.126709i	$0.959559\pi$
$308$	1.03670	+	0.776063i	0.0590714	+	0.0442203i
$309$	8.13620	−	17.8158i	0.462852	−	1.01351i
$310$	−6.70314	−	4.00022i	−0.380713	−	0.227197i
$311$	3.75909	−	1.10377i	0.213158	−	0.0625890i	−0.173410	−	0.984850i	$-0.555479\pi$
$311$	3.75909	−	1.10377i	0.213158	−	0.0625890i	0.386568	+	0.922261i	$0.373660\pi$
$312$	−2.34737	+	0.875523i	−0.132894	+	0.0495667i
$313$	−13.8577	+	18.5117i	−0.783281	+	1.04634i	0.214296	+	0.976769i	$0.431254\pi$
$313$	−13.8577	+	18.5117i	−0.783281	+	1.04634i	−0.997577	+	0.0695719i	$0.977837\pi$
$314$	0.931490	+	1.07500i	0.0525670	+	0.0606656i
$315$	0.0158827	−	0.0380702i	0.000894888	−	0.00214501i
$316$	−1.61016	−	2.50545i	−0.0905784	−	0.140943i
$317$	−9.85259	+	7.37556i	−0.553377	+	0.414253i	−0.839034	−	0.544079i	$-0.816879\pi$
$317$	−9.85259	+	7.37556i	−0.553377	+	0.414253i	0.285657	+	0.958332i	$0.407788\pi$
$318$	−0.303451	−	1.39494i	−0.0170167	−	0.0782246i
$319$	−23.1816	+	26.7530i	−1.29792	+	1.49788i
$320$	−0.711539	+	2.11984i	−0.0397762	+	0.118503i
$321$		−	10.0478i		−	0.560814i
$322$	0.707039	+	0.940872i	0.0394017	+	0.0524328i
$323$	−36.6586	+	36.6586i	−2.03974	+	2.03974i
$324$	2.59754	−	8.84640i	0.144308	−	0.491467i
$325$	−0.0363092	+	7.14323i	−0.00201407	+	0.396235i
$326$	5.25705	+	3.37850i	0.291161	+	0.187118i
$327$	15.8308	+	21.1474i	0.875443	+	1.16945i
$328$	−0.343919	+	1.58097i	−0.0189898	+	0.0872946i
$329$	−0.219032	−	0.479613i	−0.0120756	−	0.0264419i
$330$	−16.1447	+	12.9427i	−0.888736	+	0.712471i
$331$	1.81939	+	12.6542i	0.100003	+	0.695535i	0.976718	+	0.214526i	$0.0688206\pi$
$331$	1.81939	+	12.6542i	0.100003	+	0.695535i	−0.876715	+	0.481009i	$0.840270\pi$
$332$	4.39533	+	11.7843i	0.241225	+	0.646750i
$333$	−0.139459	−	0.0761502i	−0.00764229	−	0.00417301i
$334$	−5.02638	−	17.1183i	−0.275031	−	0.936671i
$335$	8.00103	+	24.2447i	0.437143	+	1.32463i
$336$	0.425966	−	0.0612447i	0.0232384	−	0.00334117i
$337$	0.343148	+	0.0245424i	0.0186924	+	0.00133691i	0.0806823	−	0.996740i	$-0.474290\pi$
$337$	0.343148	+	0.0245424i	0.0186924	+	0.00133691i	−0.0619898	+	0.998077i	$0.519745\pi$
$338$	10.2680	+	3.82975i	0.558503	+	0.208311i
$339$	−13.1255	+	8.43525i	−0.712880	+	0.458140i
$340$	12.4685	−	8.61017i	0.676201	−	0.466952i
$341$	9.95952	−	15.4973i	0.539338	−	0.839227i
$342$	−0.0410279	−	0.573645i	−0.00221854	−	0.0310192i
$343$	−1.63946	−	3.00245i	−0.0885225	−	0.162117i
$344$	−9.15765			−0.493748
$345$	−17.3790	+	7.18441i	−0.935653	+	0.386796i
$346$	1.27010			0.0682812
$347$	−2.70614	−	4.95593i	−0.145273	−	0.266048i	0.794903	−	0.606737i	$-0.207522\pi$
$347$	−2.70614	−	4.95593i	−0.145273	−	0.266048i	−0.940176	+	0.340688i	$0.889340\pi$
$348$	0.839212	+	11.7337i	0.0449865	+	0.628993i
$349$	−6.47422	+	10.0741i	−0.346557	+	0.539254i	−0.970153	−	0.242493i	$-0.922035\pi$
$349$	−6.47422	+	10.0741i	−0.346557	+	0.539254i	0.623596	+	0.781747i	$0.285671\pi$
$350$	0.266914	−	1.19764i	0.0142672	−	0.0640167i
$351$	6.16442	−	3.96163i	0.329032	−	0.211456i
$352$	−4.94427	−	1.84412i	−0.263530	−	0.0982917i
$353$	−5.09971	−	0.364739i	−0.271430	−	0.0194131i	−0.0650395	−	0.997883i	$-0.520717\pi$
$353$	−5.09971	−	0.364739i	−0.271430	−	0.0194131i	−0.206391	+	0.978470i	$0.566172\pi$
$354$	6.25600	−	0.899477i	0.332503	−	0.0478067i
$355$	4.83580	−	9.59967i	0.256658	−	0.509498i
$356$	−3.23450	−	11.0157i	−0.171428	−	0.583831i
$357$	−2.55950	−	1.39759i	−0.135463	−	0.0739683i
$358$	2.49132	+	6.67948i	0.131670	+	0.353022i
$359$	4.52619	+	31.4803i	0.238883	+	1.66147i	0.657611	+	0.753357i	$0.271567\pi$
$359$	4.52619	+	31.4803i	0.238883	+	1.66147i	−0.418728	+	0.908112i	$0.637524\pi$
$360$	−0.0183928	+	0.167082i	−0.000969388	+	0.00880600i
$361$	16.4216	+	35.9582i	0.864292	+	1.89254i
$362$	2.78782	−	12.8154i	0.146524	−	0.673562i
$363$	−17.7041	−	23.6499i	−0.929223	−	1.24130i
$364$	0.294945	+	0.189549i	0.0154593	+	0.00993509i
$365$	−0.684507	−	20.6360i	−0.0358287	−	1.08014i
$366$	−4.24817	+	14.4679i	−0.222055	+	0.756251i
$367$	−8.92860	+	8.92860i	−0.466069	+	0.466069i	−0.900638	−	0.434569i	$-0.856901\pi$
$367$	−8.92860	+	8.92860i	−0.466069	+	0.466069i	0.434569	+	0.900638i	$0.356901\pi$
$368$	−3.84455	−	2.86695i	−0.200411	−	0.149450i
$369$			0.121626i			0.00633157i
$370$	−4.48077	−	1.50400i	−0.232944	−	0.0781894i
$371$	−0.130826	+	0.150981i	−0.00679216	+	0.00783857i
$372$	−1.30128	−	5.98190i	−0.0674683	−	0.310147i
$373$	−9.03998	+	6.76724i	−0.468072	+	0.350394i	−0.807133	−	0.590370i	$-0.798982\pi$
$373$	−9.03998	+	6.76724i	−0.468072	+	0.350394i	0.339060	+	0.940765i	$0.389891\pi$
$374$	19.3328	+	30.0824i	0.999675	+	1.55552i
$375$	17.4648	+	8.90942i	0.901878	+	0.460080i
$376$	1.40699	+	1.62375i	0.0725599	+	0.0837386i
$377$	−5.74337	+	7.67225i	−0.295799	+	0.395141i
$378$	−1.17933	+	0.439867i	−0.0606581	+	0.0226243i
$379$	−3.79703	+	1.11491i	−0.195040	+	0.0572690i	−0.377794	−	0.925890i	$-0.623317\pi$
$379$	−3.79703	+	1.11491i	−0.195040	+	0.0572690i	0.182753	+	0.983159i	$0.441499\pi$
$380$	−4.18855	−	16.5864i	−0.214868	−	0.850864i
$381$	7.11741	−	15.5850i	0.364636	−	0.798442i
$382$	8.45399	+	6.32858i	0.432544	+	0.323798i
$383$	1.29764	−	18.1433i	0.0663062	−	0.927081i	−0.850046	−	0.526708i	$-0.823426\pi$
$383$	1.29764	−	18.1433i	0.0663062	−	0.927081i	0.916352	−	0.400373i	$-0.131119\pi$
$384$	−1.59515	+	0.728479i	−0.0814020	+	0.0371750i
$385$	2.80393	+	0.723255i	0.142901	+	0.0368605i
$386$	−2.82612	+	19.6561i	−0.143846	+	1.00047i
$387$	−0.672674	+	0.146331i	−0.0341939	+	0.00743843i
$388$	1.05958	−	0.0757828i	0.0537921	−	0.00384729i
$389$	−0.487415	−	0.143118i	−0.0247129	−	0.00725638i	0.269353	−	0.963042i	$-0.413190\pi$
$389$	−0.487415	−	0.143118i	−0.0247129	−	0.00725638i	−0.294066	+	0.955785i	$0.595008\pi$
$390$	−4.10983	+	3.80693i	−0.208109	+	0.192771i
$391$	9.21338	+	31.1652i	0.465941	+	1.57609i
$392$	4.90716	+	4.90716i	0.247849	+	0.247849i
$393$	1.87763	−	1.02526i	0.0947140	−	0.0517177i
$394$	−8.33746	−	7.22445i	−0.420035	−	0.363962i
$395$	−5.46061	−	3.81198i	−0.274753	−	0.191801i
$396$	−0.392647	−	0.0564542i	−0.0197313	−	0.00283693i
$397$	−25.5068	−	5.54867i	−1.28015	−	0.278480i	−0.479463	−	0.877562i	$-0.659168\pi$
$397$	−25.5068	−	5.54867i	−1.28015	−	0.278480i	−0.800687	+	0.599083i	$0.795532\pi$
$398$	7.89506	−	21.1675i	0.395744	−	1.06103i
$399$	−2.48821	+	2.15605i	−0.124566	+	0.107937i
$400$	0.331341	+	4.98901i	0.0165671	+	0.249450i
$401$	−31.5294	−	14.3990i	−1.57450	−	0.719052i	−0.579140	−	0.815228i	$-0.696612\pi$
$401$	−31.5294	−	14.3990i	−1.57450	−	0.719052i	−0.995364	+	0.0961757i	$0.969339\pi$
$402$	−9.59568	+	17.5732i	−0.478589	+	0.876471i
$403$	2.39021	−	4.37734i	0.119065	−	0.218051i
$404$	4.67720	+	2.13601i	0.232700	+	0.106270i
$405$	−2.15167	−	20.5037i	−0.106918	−	1.01884i
$406$	1.24414	−	1.07806i	0.0617458	−	0.0535030i
$407$	3.89796	−	10.4508i	0.193215	−	0.518029i
$408$	11.6117	+	2.52597i	0.574864	+	0.125054i
$409$	35.9611	+	5.17042i	1.77816	+	0.255661i	0.951633	−	0.307236i	$-0.0994040\pi$
$409$	35.9611	+	5.17042i	1.77816	+	0.255661i	0.826527	+	0.562897i	$0.190313\pi$
$410$	0.633308	+	3.56198i	0.0312769	+	0.175914i
$411$	−18.0831	−	15.6691i	−0.891972	−	0.772898i
$412$	9.80258	−	5.35262i	0.482939	−	0.263704i
$413$	−0.625423	−	0.625423i	−0.0307751	−	0.0307751i
$414$	−0.328212	−	0.149159i	−0.0161308	−	0.00733075i
$415$	19.1117	+	20.6323i	0.938156	+	1.01280i
$416$	−1.37079	−	0.402501i	−0.0672087	−	0.0197342i
$417$	−5.46534	+	0.390889i	−0.267639	+	0.0191419i
$418$	39.4490	−	8.58161i	1.92952	−	0.419740i
$419$	5.41206	−	37.6417i	0.264396	−	1.83892i	−0.234331	−	0.972157i	$-0.575290\pi$
$419$	5.41206	−	37.6417i	0.264396	−	1.83892i	0.498727	−	0.866759i	$-0.333801\pi$
$420$	0.828823	−	0.488920i	0.0404424	−	0.0238568i
$421$	−26.7015	+	12.1942i	−1.30135	+	0.594307i	−0.940967	−	0.338498i	$-0.890081\pi$
$421$	−26.7015	+	12.1942i	−1.30135	+	0.594307i	−0.360383	+	0.932805i	$0.617354\pi$
$422$	0.431594	−	6.03448i	0.0210097	−	0.293754i
$423$	0.129296	+	0.0967899i	0.00628659	+	0.00470608i
$424$	0.338177	−	0.740505i	0.0164233	−	0.0359621i
$425$	18.4627	−	28.4100i	0.895572	−	1.37809i
$426$	8.08826	−	2.37493i	0.391878	−	0.115066i
$427$	1.97711	−	0.737422i	0.0956789	−	0.0356864i
$428$	3.43372	−	4.58691i	0.165975	−	0.221717i
$429$	−8.65764	−	9.99144i	−0.417995	−	0.482391i
$430$	−18.9383	+	7.78815i	−0.913284	+	0.375578i
$431$	−6.35121	−	9.88268i	−0.305927	−	0.476032i	0.653917	−	0.756567i	$-0.273125\pi$
$431$	−6.35121	−	9.88268i	−0.305927	−	0.476032i	−0.959844	+	0.280534i	$0.909488\pi$
$432$	4.10600	−	3.07371i	0.197550	−	0.147884i
$433$	−2.26302	−	10.4030i	−0.108754	−	0.499934i	−0.999011	−	0.0444747i	$-0.985839\pi$
$433$	−2.26302	−	10.4030i	−0.108754	−	0.499934i	0.890256	−	0.455460i	$-0.150525\pi$
$434$	−0.561018	+	0.647449i	−0.0269297	+	0.0310786i
$435$	11.7145	+	23.5519i	0.561667	+	1.12923i
$436$			15.0639i			0.721432i
$437$	36.6019	+	2.55000i	1.75091	+	0.121983i
$438$	11.4498	−	11.4498i	0.547093	−	0.547093i
$439$	−10.0168	+	34.1139i	−0.478074	+	1.62817i	0.268795	+	0.963197i	$0.413375\pi$
$439$	−10.0168	+	34.1139i	−0.478074	+	1.62817i	−0.746868	+	0.664972i	$0.768444\pi$
$440$	−11.7932	+	0.391187i	−0.562219	+	0.0186491i
$441$	0.438867	+	0.282043i	0.0208984	+	0.0134306i
$442$	5.80174	+	7.75022i	0.275961	+	0.368640i
$443$	1.40041	−	6.43758i	0.0665355	−	0.305859i	−0.931838	−	0.362875i	$-0.881795\pi$
$443$	1.40041	−	6.43758i	0.0665355	−	0.305859i	0.998373	+	0.0570164i	$0.0181587\pi$
$444$	−1.53981	−	3.37171i	−0.0730761	−	0.160014i
$445$	−16.0574	−	20.0300i	−0.761193	−	0.949512i
$446$	−1.32311	−	9.20245i	−0.0626512	−	0.435749i
$447$	−10.9955	−	29.4802i	−0.520071	−	1.39436i
$448$	0.215387	+	0.117610i	0.0101761	+	0.00555656i
$449$	1.35374	+	4.61040i	0.0638868	+	0.217578i	0.985249	−	0.171127i	$-0.0547407\pi$
$449$	1.35374	+	4.61040i	0.0638868	+	0.217578i	−0.921362	+	0.388705i	$0.872923\pi$
$450$	0.104059	+	0.361172i	0.00490537	+	0.0170258i
$451$	−8.45097	+	1.21507i	−0.397941	+	0.0572152i
$452$	−8.87456	−	0.634721i	−0.417424	−	0.0298548i
$453$	20.8324	+	7.77009i	0.978793	+	0.365071i
$454$	−19.8606	+	12.7637i	−0.932106	+	0.599028i
$455$	0.771156	+	0.141156i	0.0361524	+	0.00661752i
$456$	7.25328	−	11.2863i	0.339666	−	0.528531i
$457$	−0.200601	−	2.80477i	−0.00938371	−	0.131201i	0.990601	−	0.136785i	$-0.0436771\pi$
$457$	−0.200601	−	2.80477i	−0.00938371	−	0.131201i	−0.999984	+	0.00558404i	$0.998223\pi$
$458$	7.34662	+	13.4543i	0.343285	+	0.628680i
$459$	−34.7564			−1.62229
$460$	−10.3888	−	2.65932i	−0.484382	−	0.123991i
$461$	35.7973			1.66725			0.833624	−	0.552332i	$-0.186262\pi$
$461$	35.7973			1.66725			0.833624	+	0.552332i	$0.186262\pi$
$462$	1.08834	+	1.99315i	0.0506342	+	0.0927296i
$463$	0.0564129	+	0.788755i	0.00262173	+	0.0366566i	0.998595	−	0.0529989i	$-0.0168780\pi$
$463$	0.0564129	+	0.788755i	0.00262173	+	0.0366566i	−0.995973	+	0.0896554i	$0.971423\pi$
$464$	−3.62675	+	5.64333i	−0.168368	+	0.261985i
$465$	−7.77841	−	11.2640i	−0.360715	−	0.522357i
$466$	−1.11472	+	0.716386i	−0.0516383	+	0.0331859i
$467$	−7.93905	−	2.96111i	−0.367375	−	0.137024i	0.158995	−	0.987279i	$-0.449175\pi$
$467$	−7.93905	−	2.96111i	−0.367375	−	0.137024i	−0.526370	+	0.850256i	$0.676447\pi$
$468$	−0.107123	−	0.00766158i	−0.00495176	−	0.000354157i
$469$	2.77345	−	0.398762i	0.128066	−	0.0184131i
$470$	4.29061	+	2.16138i	0.197911	+	0.0996971i
$471$	0.702750	+	2.39335i	0.0323810	+	0.110280i
$472$	3.16330	+	1.72730i	0.145603	+	0.0795052i
$473$	−16.8878	−	45.2779i	−0.776501	−	2.08188i
$474$	−0.743266	−	5.16953i	−0.0341393	−	0.237444i
$475$	−22.7680	−	30.7389i	−1.04467	−	1.41040i
$476$	−0.690822	−	1.51269i	−0.0316638	−	0.0693340i
$477$	0.0130081	−	0.0597974i	0.000595601	−	0.00273793i
$478$	9.66969	+	12.9172i	0.442281	+	0.590819i
$479$	−23.9303	−	15.3791i	−1.09340	−	0.702688i	−0.135789	−	0.990738i	$-0.543357\pi$
$479$	−23.9303	−	15.3791i	−1.09340	−	0.702688i	−0.957616	+	0.288049i	$0.906993\pi$
$480$	−2.67927	+	2.86311i	−0.122291	+	0.130682i
$481$	0.850779	−	2.89749i	0.0387922	−	0.132114i
$482$	−17.1502	+	17.1502i	−0.781172	+	0.781172i
$483$	0.442425	+	2.01589i	0.0201310	+	0.0917262i
$484$		−	16.8465i		−	0.765751i
$485$	2.12679	−	1.05785i	0.0965727	−	0.0480343i
$486$	0.511470	−	0.590267i	0.0232007	−	0.0267751i
$487$	−9.11784	−	41.9141i	−0.413169	−	1.89931i	−0.436746	−	0.899585i	$-0.643869\pi$
$487$	−9.11784	−	41.9141i	−0.413169	−	1.89931i	0.0235766	−	0.999722i	$-0.492495\pi$
$488$	−6.88357	+	5.15298i	−0.311605	+	0.233264i
$489$	5.92460	+	9.21885i	0.267919	+	0.416891i
$490$	14.3214	+	5.97483i	0.646977	+	0.269915i
$491$	3.25572	+	3.75730i	0.146929	+	0.169565i	0.824443	−	0.565945i	$-0.191488\pi$
$491$	3.25572	+	3.75730i	0.146929	+	0.169565i	−0.677515	+	0.735509i	$0.736943\pi$
$492$	−1.70031	+	2.27134i	−0.0766557	+	0.102400i
$493$	42.5917	−	15.8859i	1.91824	−	0.715465i
$494$	10.4873	−	3.07934i	0.471845	−	0.138546i
$495$	−0.860016	+	0.217180i	−0.0386549	+	0.00976149i
$496$	1.45020	−	3.17548i	0.0651157	−	0.142583i
$497$	−0.944378	−	0.706953i	−0.0423611	−	0.0317112i
$498$	−1.57345	+	21.9997i	−0.0705078	+	0.985828i
$499$	0.773929	−	0.353441i	0.0346458	−	0.0158222i	−0.398017	−	0.917378i	$-0.630301\pi$
$499$	0.773929	−	0.353441i	0.0346458	−	0.0158222i	0.432663	+	0.901556i	$0.357574\pi$
$500$	4.92814	+	10.0356i	0.220393	+	0.448806i
$501$	4.45250	−	30.9678i	0.198923	−	1.38354i
$502$	1.62016	−	0.352445i	0.0723114	−	0.0157304i
$503$	16.2507	−	1.16227i	0.724582	−	0.0518231i	0.295824	−	0.955242i	$-0.404406\pi$
$503$	16.2507	−	1.16227i	0.724582	−	0.0518231i	0.428758	+	0.903419i	$0.358951\pi$
$504$	0.0177005	+	0.00519734i	0.000788443	+	0.000231508i
$505$	11.4892	+	0.439576i	0.511261	+	0.0195609i
$506$	7.08517	−	24.2955i	0.314974	−	1.08007i
$507$	13.5890	+	13.5890i	0.603509	+	0.603509i
$508$	8.57513	−	4.68238i	0.380460	−	0.207747i
$509$	30.1188	+	26.0981i	1.33499	+	1.15678i	0.974594	+	0.223979i	$0.0719047\pi$
$509$	30.1188	+	26.0981i	1.33499	+	1.15678i	0.360399	+	0.932798i	$0.382641\pi$
$510$	26.1615	−	4.65142i	1.15845	−	0.205969i
$511$	−2.24295	−	0.322487i	−0.0992221	−	0.0142660i
$512$	−0.977147	−	0.212565i	−0.0431842	−	0.00939415i
$513$	−13.7129	+	36.7657i	−0.605438	+	1.62324i
$514$	9.48429	−	8.21818i	0.418334	−	0.362488i
$515$	15.7198	−	19.4060i	0.692699	−	0.855130i
$516$	−14.6078	−	6.67116i	−0.643072	−	0.293681i
$517$	−5.43361	+	9.95091i	−0.238970	+	0.437640i
$518$	−0.248596	+	0.455270i	−0.0109227	+	0.0200034i
$519$	2.02600	+	0.925244i	0.0889316	+	0.0406137i
$520$	−3.17714	+	0.333412i	−0.139327	+	0.0146211i
$521$	−6.19397	+	5.36710i	−0.271363	+	0.235137i	−0.779902	−	0.625902i	$-0.784731\pi$
$521$	−6.19397	+	5.36710i	−0.271363	+	0.235137i	0.508539	+	0.861039i	$0.330186\pi$
$522$	−0.176227	+	0.472482i	−0.00771323	+	0.0206800i
$523$	27.3792	+	5.95598i	1.19721	+	0.260437i	0.766614	−	0.642108i	$-0.221940\pi$
$523$	27.3792	+	5.95598i	1.19721	+	0.260437i	0.430595	+	0.902545i	$0.358304\pi$
$524$	1.20753	+	0.173616i	0.0527510	+	0.00758446i
$525$	1.29822	−	1.71597i	0.0566592	−	0.0748913i
$526$	4.94903	+	4.28836i	0.215788	+	0.186981i
$527$	−20.7625	+	11.3372i	−0.904430	+	0.493856i
$528$	−6.54343	−	6.54343i	−0.284766	−	0.284766i
$529$	12.3633	−	19.3946i	0.537535	−	0.843241i
$530$	0.0695945	−	1.81899i	0.00302299	−	0.0790117i
$531$	0.259961	+	0.0763313i	0.0112813	+	0.00331250i
$532$	−1.87269	+	0.133938i	−0.0811916	+	0.00580693i
$533$	−2.25868	+	0.491345i	−0.0978342	+	0.0212825i
$534$	2.86520	−	19.9279i	0.123989	−	0.862366i
$535$	3.20006	−	12.4061i	0.138351	−	0.536361i
$536$	−10.3859	+	4.74310i	−0.448604	+	0.204871i
$537$	−0.891845	+	12.4696i	−0.0384860	+	0.538104i
$538$	10.7875	+	8.07542i	0.465082	+	0.348156i
$539$	−15.2129	+	33.3117i	−0.655268	+	1.43484i
$540$	5.87726	−	9.84847i	0.252917	−	0.423811i
$541$	−22.4380	+	6.58839i	−0.964684	+	0.283257i	−0.725888	−	0.687813i	$-0.758571\pi$
$541$	−22.4380	+	6.58839i	−0.964684	+	0.283257i	−0.238796	+	0.971070i	$0.576753\pi$
$542$	−3.88729	+	1.44988i	−0.166973	+	0.0622778i
$543$	13.7827	−	18.4116i	0.591473	−	0.790116i
$544$	4.43761	+	5.12128i	0.190261	+	0.219573i
$545$	12.8112	+	31.1526i	0.548771	+	1.33443i
$546$	0.332397	+	0.517220i	0.0142253	+	0.0221350i
$547$	−17.0061	+	12.7306i	−0.727127	+	0.544321i	−0.897476	−	0.441063i	$-0.854601\pi$
$547$	−17.0061	+	12.7306i	−0.727127	+	0.544321i	0.170349	+	0.985384i	$0.445511\pi$
$548$	−2.90036	−	13.3327i	−0.123897	−	0.569546i
$549$	−0.423291	+	0.488504i	−0.0180656	+	0.0208489i
$550$	−24.0560	+	10.8385i	−1.02575	+	0.462157i
$551$		−	51.3216i		−	2.18637i
$552$	−4.04411	−	7.37388i	−0.172129	−	0.313853i
$553$	−0.516806	+	0.516806i	−0.0219768	+	0.0219768i
$554$	0.0622144	−	0.211883i	0.00264324	−	0.00900203i
$555$	−6.05184	−	5.66325i	−0.256886	−	0.240391i
$556$	−2.62856	−	1.68927i	−0.111476	−	0.0716411i
$557$	25.6419	+	34.2535i	1.08648	+	1.45137i	0.881247	+	0.472657i	$0.156705\pi$
$557$	25.6419	+	34.2535i	1.08648	+	1.45137i	0.205235	+	0.978713i	$0.434204\pi$
$558$	0.0557824	−	0.256427i	0.00236146	−	0.0108554i
$559$	−5.43496	−	11.9009i	−0.229874	−	0.503355i
$560$	0.545448	+	0.0600443i	0.0230494	+	0.00253734i
$561$	8.92423	+	62.0694i	0.376781	+	2.62057i
$562$	4.49059	+	12.0397i	0.189424	+	0.507865i
$563$	11.7008	+	6.38914i	0.493131	+	0.269270i	0.706515	−	0.707699i	$-0.250267\pi$
$563$	11.7008	+	6.38914i	0.493131	+	0.269270i	−0.213383	+	0.976969i	$0.568448\pi$
$564$	1.06148	+	3.61508i	0.0446965	+	0.152222i
$565$	−18.8926	+	6.23477i	−0.794818	+	0.262299i
$566$	−23.1567	+	3.32943i	−0.973347	+	0.139946i
$567$	−2.25684	−	0.161412i	−0.0947783	−	0.00677868i
$568$	4.50396	+	1.67989i	0.188982	+	0.0704867i
$569$	26.9126	−	17.2957i	1.12823	−	0.725073i	0.163044	−	0.986619i	$-0.447869\pi$
$569$	26.9126	−	17.2957i	1.12823	−	0.725073i	0.965191	+	0.261546i	$0.0842324\pi$
$570$	5.40148	−	29.5090i	0.226243	−	1.23600i
$571$	6.23180	−	9.69688i	0.260793	−	0.405802i	−0.686022	−	0.727581i	$-0.740645\pi$
$571$	6.23180	−	9.69688i	0.260793	−	0.405802i	0.946815	+	0.321779i	$0.104281\pi$
$572$	−0.537828	−	7.51982i	−0.0224877	−	0.314420i
$573$	8.87511	+	16.2536i	0.370763	+	0.679002i
$574$	0.397053			0.0165727
$575$	−23.7460	+	3.33569i	−0.990277	+	0.139108i
$576$	−0.0751727			−0.00313220
$577$	4.50002	+	8.24117i	0.187338	+	0.343084i	0.954421	−	0.298464i	$-0.0964743\pi$
$577$	4.50002	+	8.24117i	0.187338	+	0.343084i	−0.767083	+	0.641548i	$0.778292\pi$
$578$	−2.06312	−	28.8462i	−0.0858144	−	1.19984i
$579$	−18.8271	+	29.2955i	−0.782427	+	1.21748i
$580$	−2.70082	+	14.7549i	−0.112146	+	0.612665i
$581$	2.59657	−	1.66871i	0.107724	−	0.0692299i
$582$	1.74539	+	0.650998i	0.0723489	+	0.0269848i
$583$	4.28489	+	0.306461i	0.177462	+	0.0126923i
$584$	9.13977	−	1.31410i	0.378206	−	0.0543779i
$585$	−0.228049	+	0.0752587i	−0.00942866	+	0.00311156i
$586$	−6.39883	−	21.7924i	−0.264333	−	0.900236i
$587$	−21.8718	−	11.9429i	−0.902747	−	0.492937i	−0.0403590	−	0.999185i	$-0.512850\pi$
$587$	−21.8718	−	11.9429i	−0.902747	−	0.492937i	−0.862388	+	0.506248i	$0.831032\pi$
$588$	4.25288	+	11.4024i	0.175386	+	0.470227i
$589$	3.80089	+	26.4358i	0.156613	+	1.08927i
$590$	8.01078	+	0.881848i	0.329799	+	0.0363051i
$591$	−8.03661	−	17.5977i	−0.330582	−	0.723873i
$592$	0.449306	−	2.06543i	0.0184664	−	0.0848885i
$593$	−11.4169	−	15.2511i	−0.468835	−	0.626290i	0.502337	−	0.864672i	$-0.332474\pi$
$593$	−11.4169	−	15.2511i	−0.468835	−	0.626290i	−0.971171	+	0.238382i	$0.923383\pi$
$594$	22.7692	+	14.6329i	0.934231	+	0.600394i
$595$	−2.71511	−	2.54077i	−0.111309	−	0.104161i
$596$	5.05494	−	17.2155i	0.207058	−	0.705176i
$597$	28.0138	−	28.0138i	1.14653	−	1.14653i
$598$	1.44407	−	6.69772i	0.0590525	−	0.273890i
$599$			36.5774i			1.49451i	0.664537	+	0.747255i	$0.268629\pi$
$599$			36.5774i			1.49451i	−0.664537	+	0.747255i	$0.731371\pi$
$600$	−3.10585	+	8.19957i	−0.126796	+	0.334746i
$601$	−13.3739	+	15.4343i	−0.545533	+	0.629578i	−0.959836	−	0.280560i	$-0.909480\pi$
$601$	−13.3739	+	15.4343i	−0.545533	+	0.629578i	0.414304	+	0.910139i	$0.364025\pi$
$602$	0.477705	+	2.19598i	0.0194698	+	0.0895013i
$603$	−0.687106	+	0.514361i	−0.0279811	+	0.0209464i
$604$	6.85484	+	10.6663i	0.278920	+	0.434007i
$605$	−14.3272	−	34.8390i	−0.582483	−	1.41641i
$606$	5.90479	+	6.81449i	0.239866	+	0.276820i
$607$	−15.4852	+	20.6858i	−0.628524	+	0.839610i	−0.995900	−	0.0904630i	$-0.971165\pi$
$607$	−15.4852	+	20.6858i	−0.628524	+	0.839610i	0.367376	+	0.930073i	$0.380256\pi$
$608$	7.16815	−	2.67358i	0.290707	−	0.108428i
$609$	2.76993	−	0.813325i	0.112243	−	0.0329576i
$610$	−9.85303	+	16.5106i	−0.398938	+	0.668496i
$611$	−1.27513	+	2.79214i	−0.0515862	+	0.112958i
$612$	0.407797	+	0.305273i	0.0164842	+	0.0123399i
$613$	−2.45352	+	34.3046i	−0.0990966	+	1.38555i	0.668067	+	0.744101i	$0.267122\pi$
$613$	−2.45352	+	34.3046i	−0.0990966	+	1.38555i	−0.767164	+	0.641451i	$0.778333\pi$
$614$	−6.28439	+	2.86998i	−0.253617	+	0.115823i
$615$	−1.58461	+	6.14323i	−0.0638975	+	0.247719i
$616$	−0.184297	+	1.28182i	−0.00742555	+	0.0516459i
$617$	−18.3288	+	3.98720i	−0.737892	+	0.160518i	−0.565777	−	0.824558i	$-0.691424\pi$
$617$	−18.3288	+	3.98720i	−0.737892	+	0.160518i	−0.172115	+	0.985077i	$0.555060\pi$
$618$	19.5358	−	1.39723i	0.785846	−	0.0562048i
$619$	−20.8633	−	6.12601i	−0.838566	−	0.246225i	−0.165873	−	0.986147i	$-0.553044\pi$
$619$	−20.8633	−	6.12601i	−0.838566	−	0.246225i	−0.672693	+	0.739922i	$0.734862\pi$
$620$	0.298440	−	7.80031i	0.0119856	−	0.313268i
$621$	16.1425	+	18.5602i	0.647775	+	0.744793i
$622$	2.77029	+	2.77029i	0.111079	+	0.111079i
$623$	−2.47280	+	1.35025i	−0.0990708	+	0.0540968i
$624$	−1.89340	−	1.64064i	−0.0757967	−	0.0656782i
$625$	18.7263	+	16.5627i	0.749053	+	0.662510i
$626$	−22.8886	−	3.29088i	−0.914811	−	0.131530i
$627$	69.1785	+	15.0489i	2.76272	+	0.600994i
$628$	−0.497086	+	1.33274i	−0.0198359	+	0.0531821i
$629$	−10.8250	+	9.37992i	−0.431621	+	0.374002i
$630$	0.0410252	−	0.00430522i	0.00163448	−	0.000171524i
$631$	37.4889	+	17.1206i	1.49241	+	0.681561i	0.983773	−	0.179420i	$-0.0574222\pi$
$631$	37.4889	+	17.1206i	1.49241	+	0.681561i	0.508637	+	0.860981i	$0.330149\pi$
$632$	1.42732	−	2.61394i	0.0567756	−	0.103977i
$633$	5.08445	−	9.31147i	0.202089	−	0.370098i
$634$	−11.1952	−	5.11268i	−0.444619	−	0.203051i
$635$	13.7515	−	16.9760i	0.545710	−	0.673673i
$636$	1.07888	−	0.934858i	0.0427805	−	0.0370695i
$637$	−3.46480	+	9.28949i	−0.137280	+	0.368063i
$638$	−34.5903	−	7.52466i	−1.36944	−	0.297904i
$639$	0.357681	+	0.0514268i	0.0141496	+	0.00203441i
$640$	−2.20154	+	0.391427i	−0.0870236	+	0.0154725i
$641$	19.5616	+	16.9502i	0.772637	+	0.669494i	0.949157	−	0.314803i	$-0.101939\pi$
$641$	19.5616	+	16.9502i	0.772637	+	0.669494i	−0.176520	+	0.984297i	$0.556484\pi$
$642$	8.81875	−	4.81540i	0.348048	−	0.190049i
$643$	15.0909	+	15.0909i	0.595128	+	0.595128i	0.939012	−	0.343884i	$-0.111743\pi$
$643$	15.0909	+	15.0909i	0.595128	+	0.595128i	−0.343884	+	0.939012i	$0.611743\pi$
$644$	−0.486936	+	1.07147i	−0.0191880	+	0.0422216i
$645$	−35.8828	−	1.37288i	−1.41288	−	0.0540570i
$646$	−49.7431	−	14.6059i	−1.95712	−	0.574662i
$647$	42.0227	−	3.00553i	1.65208	−	0.118159i	0.786056	−	0.618155i	$-0.212120\pi$
$647$	42.0227	−	3.00553i	1.65208	−	0.118159i	0.866028	+	0.499996i	$0.166665\pi$
$648$	9.00916	−	1.95982i	0.353913	−	0.0769891i
$649$	−2.70671	+	18.8256i	−0.106247	+	0.738968i
$650$	−6.28686	+	3.39152i	−0.246591	+	0.133026i
$651$	−1.36656	+	0.624087i	−0.0535597	+	0.0244599i
$652$	−0.445803	+	6.23314i	−0.0174590	+	0.244109i
$653$	−22.6412	−	16.9490i	−0.886017	−	0.663264i	0.0561445	−	0.998423i	$-0.482119\pi$
$653$	−22.6412	−	16.9490i	−0.886017	−	0.663264i	−0.942162	+	0.335158i	$0.891210\pi$
$654$	−10.9738	+	24.0292i	−0.429108	+	0.939616i
$655$	2.64485	−	0.667902i	0.103343	−	0.0260971i
$656$	−1.55241	+	0.455828i	−0.0606114	+	0.0177971i
$657$	0.650362	−	0.242572i	0.0253730	−	0.00946365i
$658$	0.315975	−	0.422094i	0.0123180	−	0.0164549i
$659$	−3.33931	−	3.85376i	−0.130081	−	0.150121i	0.686972	−	0.726684i	$-0.258939\pi$
$659$	−3.33931	−	3.85376i	−0.130081	−	0.150121i	−0.817053	+	0.576562i	$0.804394\pi$
$660$	−19.0969	−	7.96710i	−0.743344	−	0.310119i
$661$	−22.8140	−	35.4993i	−0.887361	−	1.38076i	−0.924391	−	0.381447i	$-0.875426\pi$
$661$	−22.8140	−	35.4993i	−0.887361	−	1.38076i	0.0370294	−	0.999314i	$-0.488210\pi$
$662$	−10.2343	+	7.66133i	−0.397769	+	0.297766i
$663$	3.60876	+	16.5892i	0.140152	+	0.644270i
$664$	−8.23641	+	9.50533i	−0.319635	+	0.368878i
$665$	−3.75887	+	1.86962i	−0.145763	+	0.0725009i
$666$		−	0.158895i		−	0.00615705i
$667$	−28.2647	−	15.3661i	−1.09441	−	0.594979i
$668$	12.6155	−	12.6155i	0.488107	−	0.488107i
$669$	4.59323	−	15.6431i	0.177585	−	0.604798i
$670$	−17.4446	+	18.6416i	−0.673944	+	0.720188i
$671$	−38.1718	−	24.5315i	−1.47361	−	0.947029i
$672$	0.257897	+	0.344510i	0.00994860	+	0.0132898i
$673$	10.3155	−	47.4198i	0.397635	−	1.82790i	−0.146887	−	0.989153i	$-0.546926\pi$
$673$	10.3155	−	47.4198i	0.397635	−	1.82790i	0.544523	−	0.838746i	$-0.316711\pi$
$674$	0.142913	+	0.312935i	0.00550480	+	0.0120538i
$675$	3.77866	−	25.3652i	0.145441	−	0.976308i
$676$	1.55962	+	10.8474i	0.0599853	+	0.417207i
$677$	−12.1137	−	32.4782i	−0.465569	−	1.24824i	−0.931605	−	0.363473i	$-0.881591\pi$
$677$	−12.1137	−	32.4782i	−0.465569	−	1.24824i	0.466036	−	0.884766i	$-0.345682\pi$
$678$	−13.6938	−	7.47740i	−0.525908	−	0.287168i
$679$	−0.0734451	−	0.250131i	−0.00281857	−	0.00959915i
$680$	13.5325	+	6.81695i	0.518948	+	0.261418i
$681$	−40.9787	+	5.89185i	−1.57031	+	0.225776i
$682$	18.3748	+	1.31419i	0.703606	+	0.0503229i
$683$	11.0629	+	4.12626i	0.423311	+	0.157887i	0.552086	−	0.833787i	$-0.313832\pi$
$683$	11.0629	+	4.12626i	0.423311	+	0.157887i	−0.128775	+	0.991674i	$0.541105\pi$
$684$	0.483814	−	0.310928i	0.0184991	−	0.0118886i
$685$	−17.3369	−	25.1058i	−0.662408	−	0.959244i
$686$	1.84947	−	2.87784i	0.0706132	−	0.109876i
$687$	1.91774	+	26.8135i	0.0731663	+	1.02300i
$688$	−4.38880	−	8.03748i	−0.167321	−	0.306426i
$689$	1.16303			0.0443080
$690$	−14.6345	−	11.8100i	−0.557125	−	0.449601i
$691$	18.6848			0.710804			0.355402	−	0.934714i	$-0.384344\pi$
$691$	18.6848			0.710804			0.355402	+	0.934714i	$0.384344\pi$
$692$	0.608696	+	1.11474i	0.0231391	+	0.0423762i
$693$	0.00694477	+	0.0971005i	0.000263810	+	0.00368854i
$694$	3.05280	−	4.75025i	0.115883	−	0.180317i
$695$	−6.87257	−	1.25799i	−0.260691	−	0.0477183i
$696$	−9.89624	+	6.35993i	−0.375116	+	0.241073i
$697$	10.2726	+	3.83149i	0.389103	+	0.145128i
$698$	−11.9446	−	0.854293i	−0.452109	−	0.0323355i
$699$	−2.30001	+	0.330692i	−0.0869944	+	0.0125079i
$700$	1.17906	−	0.339704i	0.0445644	−	0.0128396i
$701$	−8.64456	−	29.4407i	−0.326500	−	1.11196i	−0.945244	−	0.326365i	$-0.894176\pi$
$701$	−8.64456	−	29.4407i	−0.326500	−	1.11196i	0.618743	−	0.785593i	$-0.287642\pi$
$702$	6.43133	+	3.51177i	0.242735	+	0.132543i
$703$	5.65124	+	15.1516i	0.213140	+	0.571452i
$704$	−0.750993	−	5.22327i	−0.0283041	−	0.196859i
$705$	5.26963	+	6.57334i	0.198466	+	0.247566i
$706$	−2.12391	−	4.65071i	−0.0799344	−	0.175032i
$707$	0.268223	−	1.23300i	0.0100876	−	0.0463718i
$708$	3.78764	+	5.05969i	0.142348	+	0.190155i
$709$	5.29105	+	3.40035i	0.198709	+	0.127703i	0.636212	−	0.771514i	$-0.280500\pi$
$709$	5.29105	+	3.40035i	0.198709	+	0.127703i	−0.437502	+	0.899217i	$0.644137\pi$
$710$	10.7430	−	0.356351i	0.403177	−	0.0133736i
$711$	0.0630749	−	0.214813i	0.00236549	−	0.00805613i
$712$	8.11812	−	8.11812i	0.304239	−	0.304239i
$713$	15.6972	+	5.82181i	0.587865	+	0.218028i
$714$		−	2.91621i		−	0.109136i
$715$	−7.50750	−	15.0938i	−0.280765	−	0.564476i
$716$	−4.66848	+	5.38771i	−0.174469	+	0.201348i
$717$	6.01467	+	27.6490i	0.224622	+	1.03257i
$718$	−25.4605	+	19.0595i	−0.950176	+	0.711293i
$719$	−12.6406	−	19.6691i	−0.471414	−	0.733534i	0.521386	−	0.853321i	$-0.325415\pi$
$719$	−12.6406	−	19.6691i	−0.471414	−	0.733534i	−0.992800	+	0.119787i	$0.961779\pi$
$720$	−0.155459	+	0.0639309i	−0.00579362	+	0.00238256i
$721$	−1.79489	−	2.07141i	−0.0668451	−	0.0771434i
$722$	−23.6897	+	31.6458i	−0.881641	+	1.17773i
$723$	−39.8507	+	14.8636i	−1.48207	+	0.552782i
$724$	12.5839	−	3.69495i	0.467675	−	0.137322i
$725$	6.96301	+	32.8105i	0.258600	+	1.21855i
$726$	12.2723	−	26.8727i	0.455469	−	0.997338i
$727$	−13.5322	−	10.1300i	−0.501880	−	0.375703i	0.318134	−	0.948046i	$-0.396944\pi$
$727$	−13.5322	−	10.1300i	−0.501880	−	0.375703i	−0.820014	+	0.572343i	$0.806035\pi$
$728$	−0.0250116	+	0.349708i	−0.000926992	+	0.0129610i
$729$	−23.9142	+	10.9212i	−0.885711	+	0.404491i
$730$	17.7837	−	10.4905i	0.658204	−	0.388272i
$731$	−8.83150	+	61.4245i	−0.326645	+	2.27187i
$732$	−14.7341	+	3.20521i	−0.544589	+	0.118468i
$733$	9.40925	−	0.672963i	0.347539	−	0.0248565i	0.103521	−	0.994627i	$-0.466989\pi$
$733$	9.40925	−	0.672963i	0.347539	−	0.0248565i	0.244018	+	0.969771i	$0.421535\pi$
$734$	−12.1155	−	3.55742i	−0.447190	−	0.131307i
$735$	18.4923	+	19.9636i	0.682098	+	0.736368i
$736$	0.673764	−	4.74827i	0.0248353	−	0.175023i
$737$	−42.6040	−	42.6040i	−1.56934	−	1.56934i
$738$	−0.106748	+	0.0582889i	−0.00392945	+	0.00214564i
$739$	−16.4020	−	14.2125i	−0.603359	−	0.522814i	0.298745	−	0.954333i	$-0.403432\pi$
$739$	−16.4020	−	14.2125i	−0.603359	−	0.522814i	−0.902104	+	0.431519i	$0.857978\pi$
$740$	−0.827372	−	4.65347i	−0.0304148	−	0.171065i
$741$	18.9720	+	2.72776i	0.696953	+	0.100207i
$742$	−0.195212	−	0.0424657i	−0.00716644	−	0.00155896i
$743$	−6.56448	+	17.6001i	−0.240828	+	0.645684i	−0.999986	−	0.00522181i	$-0.998338\pi$
$743$	−6.56448	+	17.6001i	−0.240828	+	0.645684i	0.759159	+	0.650905i	$0.225611\pi$
$744$	4.62655	−	4.00893i	0.169617	−	0.146974i
$745$	−4.18727	−	39.9012i	−0.153410	−	1.46187i
$746$	−10.2719	−	4.69100i	−0.376080	−	0.171750i
$747$	−0.453117	+	0.829823i	−0.0165787	+	0.0303616i
$748$	−17.1375	+	31.3850i	−0.626608	+	1.14755i
$749$	−1.27904	−	0.584120i	−0.0467353	−	0.0213433i
$750$	0.550376	+	19.5983i	0.0200969	+	0.715629i
$751$	18.7681	−	16.2626i	0.684856	−	0.593431i	−0.241355	−	0.970437i	$-0.577592\pi$
$751$	18.7681	−	16.2626i	0.684856	−	0.593431i	0.926211	+	0.377006i	$0.123046\pi$
$752$	−0.750834	+	2.01306i	−0.0273801	+	0.0734089i
$753$	2.84115	+	0.618053i	0.103537	+	0.0225231i
$754$	−9.48628	−	1.36392i	−0.345470	−	0.0496711i
$755$	23.2472	+	16.2286i	0.846053	+	0.590617i
$756$	−0.951254	−	0.824266i	−0.0345968	−	0.0299783i
$757$	−0.640114	+	0.349529i	−0.0232653	+	0.0127038i	−0.490840	−	0.871250i	$-0.663310\pi$
$757$	−0.640114	+	0.349529i	−0.0232653	+	0.0127038i	0.467574	+	0.883954i	$0.345128\pi$
$758$	−2.79826	−	2.79826i	−0.101637	−	0.101637i
$759$	29.0006	−	33.5935i	1.05266	−	1.21937i
$760$	12.5502	−	11.6252i	0.455242	−	0.421691i
$761$	20.8222	+	6.11395i	0.754804	+	0.221630i	0.636426	−	0.771338i	$-0.280412\pi$
$761$	20.8222	+	6.11395i	0.754804	+	0.221630i	0.118378	+	0.992969i	$0.462230\pi$
$762$	17.0896	−	1.22227i	0.619091	−	0.0442783i
$763$	3.61229	−	0.785805i	0.130774	−	0.0284480i
$764$	−1.50289	+	10.4528i	−0.0543728	+	0.378171i
$765$	1.10296	+	0.284500i	0.0398775	+	0.0102861i
$766$	16.5459	−	7.55627i	0.597828	−	0.273019i
$767$	−0.367336	+	5.13603i	−0.0132637	+	0.185451i
$768$	−1.40384	−	1.05090i	−0.0506568	−	0.0379212i
$769$	−19.3162	+	42.2965i	−0.696559	+	1.52525i	0.147536	+	0.989057i	$0.452866\pi$
$769$	−19.3162	+	42.2965i	−0.696559	+	1.52525i	−0.844095	+	0.536194i	$0.819861\pi$
$770$	0.708993	+	2.80757i	0.0255503	+	0.101178i
$771$	21.1156	−	6.20010i	0.760460	−	0.223291i
$772$	−18.6061	+	6.93973i	−0.669649	+	0.249766i
$773$	21.1963	−	28.3150i	0.762379	−	1.01842i	−0.236525	−	0.971625i	$-0.576009\pi$
$773$	21.1963	−	28.3150i	0.762379	−	1.01842i	0.998905	−	0.0467942i	$-0.0149005\pi$
$774$	−0.450810	−	0.520262i	−0.0162040	−	0.0187004i
$775$	−6.01661	−	16.3850i	−0.216123	−	0.588568i
$776$	0.574317	+	0.893654i	0.0206168	+	0.0320803i
$777$	−0.728202	+	0.545125i	−0.0261241	+	0.0195563i
$778$	−0.107982	−	0.496384i	−0.00387133	−	0.0177962i
$779$	8.10596	−	9.35477i	0.290426	−	0.335170i
$780$	−5.31089	−	1.78264i	−0.190160	−	0.0638288i
$781$			25.3667i			0.907692i
$782$	−22.9375	+	23.0223i	−0.820245	+	0.823275i
$783$	24.3293	−	24.3293i	0.869457	−	0.869457i
$784$	−1.95516	+	6.65867i	−0.0698272	+	0.237810i
$785$	0.105446	+	3.17889i	0.00376352	+	0.113459i
$786$	1.79971	+	1.15660i	0.0641934	+	0.0412546i
$787$	7.79256	+	10.4096i	0.277775	+	0.371064i	0.917633	−	0.397429i	$-0.130098\pi$
$787$	7.79256	+	10.4096i	0.277775	+	0.371064i	−0.639858	+	0.768493i	$0.721007\pi$
$788$	2.34503	−	10.7799i	0.0835382	−	0.384019i
$789$	4.77045	+	10.4458i	0.169832	+	0.371881i
$790$	0.728698	−	6.61955i	0.0259259	−	0.235513i
$791$	0.310734	+	2.16120i	0.0110484	+	0.0768434i
$792$	−0.138627	−	0.371674i	−0.00492590	−	0.0132069i
$793$	−10.7819	−	5.88737i	−0.382877	−	0.209067i
$794$	−7.35416	−	25.0460i	−0.260990	−	0.888849i
$795$	1.43611	−	2.85085i	0.0509334	−	0.101109i
$796$	22.3620	−	3.21516i	0.792598	−	0.113958i
$797$	24.6991	+	1.76651i	0.874886	+	0.0625731i	0.501555	−	0.865125i	$-0.332761\pi$
$797$	24.6991	+	1.76651i	0.874886	+	0.0625731i	0.373330	+	0.927699i	$0.378216\pi$
$798$	−3.08479	−	1.15057i	−0.109200	−	0.0407296i
$799$	12.2481	−	7.87137i	0.433307	−	0.278469i
$800$	−4.21995	+	2.68179i	−0.149198	+	0.0948156i
$801$	0.466595	−	0.726035i	0.0164863	−	0.0256532i
$802$	−2.47274	−	34.5734i	−0.0873155	−	1.22083i
$803$	23.3521	+	42.7661i	0.824076	+	1.50918i
$804$	−20.0223			−0.706133
$805$	−0.0957656	+	2.62993i	−0.00337529	+	0.0926930i
$806$	4.98740			0.175674
$807$	11.3249	+	20.7399i	0.398654	+	0.730081i
$808$	0.366816	+	5.12876i	0.0129046	+	0.180429i
$809$	−22.2221	+	34.5782i	−0.781287	+	1.21571i	0.190925	+	0.981605i	$0.438851\pi$
$809$	−22.2221	+	34.5782i	−0.781287	+	1.21571i	−0.972212	+	0.234102i	$0.924785\pi$
$810$	16.9644	−	11.7148i	0.596070	−	0.411617i
$811$	−20.5521	+	13.2080i	−0.721682	+	0.463797i	−0.849222	−	0.528037i	$-0.822928\pi$
$811$	−20.5521	+	13.2080i	−0.721682	+	0.463797i	0.127540	+	0.991833i	$0.459292\pi$
$812$	1.54244	+	0.575301i	0.0541291	+	0.0201891i
$813$	−7.25700	−	0.519031i	−0.254514	−	0.0182032i
$814$	11.0406	−	1.58740i	0.386972	−	0.0556382i
$815$	4.37906	+	13.2694i	0.153392	+	0.464808i
$816$	3.34790	+	11.4019i	0.117200	+	0.399146i
$817$	61.4909	+	33.5766i	2.15129	+	1.17470i
$818$	12.6963	+	34.0402i	0.443917	+	1.19019i
$819$	0.00375080	+	0.0260874i	0.000131064	+	0.000911568i
$820$	−2.82276	+	2.26292i	−0.0985751	+	0.0790245i
$821$	14.1656	+	31.0182i	0.494381	+	1.08254i	0.978255	+	0.207406i	$0.0665021\pi$
$821$	14.1656	+	31.0182i	0.494381	+	1.08254i	−0.483874	+	0.875138i	$0.660771\pi$
$822$	5.08612	−	23.3805i	0.177399	−	0.815489i
$823$	−23.5717	−	31.4881i	−0.821658	−	1.09761i	−0.993651	−	0.112508i	$-0.964112\pi$
$823$	−23.5717	−	31.4881i	−0.821658	−	1.09761i	0.171993	−	0.985098i	$-0.444979\pi$
$824$	9.39576	+	6.03829i	0.327317	+	0.210354i
$825$	−46.2684	−	0.235183i	−1.61086	−	0.00818804i
$826$	0.249187	−	0.848654i	0.00867034	−	0.0295285i
$827$	10.7513	−	10.7513i	0.373860	−	0.373860i	−0.495021	−	0.868881i	$-0.664840\pi$
$827$	10.7513	−	10.7513i	0.373860	−	0.373860i	0.868881	+	0.495021i	$0.164840\pi$
$828$	−0.0263819	−	0.359549i	−0.000916834	−	0.0124952i
$829$		−	27.2704i		−	0.947141i	−0.880756	−	0.473571i	$-0.842965\pi$
$829$		−	27.2704i		−	0.947141i	0.880756	−	0.473571i	$-0.157035\pi$
$830$	−8.94928	+	26.6619i	−0.310634	+	0.925450i
$831$	0.253593	−	0.292662i	0.00879705	−	0.0101523i
$832$	−0.303684	−	1.39601i	−0.0105284	−	0.0483981i
$833$	37.6469	−	28.1821i	1.30439	−	0.976453i
$834$	−2.96233	−	4.60948i	−0.102577	−	0.159613i
$835$	15.3603	−	36.8180i	0.531564	−	1.27414i
$836$	26.4378	+	30.5109i	0.914371	+	1.05524i
$837$	−10.7302	+	14.3339i	−0.370890	+	0.495450i
$838$	35.6310	−	13.2897i	1.23085	−	0.459085i
$839$	18.1419	−	5.32694i	0.626328	−	0.183907i	0.0468601	−	0.998901i	$-0.485079\pi$
$839$	18.1419	−	5.32694i	0.626328	−	0.183907i	0.579468	+	0.814995i	$0.303260\pi$
$840$	0.826327	+	0.493126i	0.0285110	+	0.0170145i
$841$	−6.64686	+	14.5546i	−0.229202	+	0.501882i
$842$	−23.4992	−	17.5913i	−0.809836	−	0.606236i
$843$	−1.60755	+	22.4764i	−0.0553668	+	0.774129i
$844$	5.50318	−	2.51322i	0.189427	−	0.0865085i
$845$	12.4505	+	21.1063i	0.428311	+	0.726078i
$846$	−0.0229854	+	0.159867i	−0.000790254	+	0.00549634i
$847$	−4.03974	+	0.878792i	−0.138807	+	0.0301957i
$848$	0.811996	−	0.0580751i	0.0278841	−	0.00199431i
$849$	−39.3637	−	11.5582i	−1.35096	−	0.396677i
$850$	33.7830	+	2.58887i	1.15875	+	0.0887976i
$851$	10.0366	+	1.42416i	0.344049	+	0.0488195i
$852$	5.96072	+	5.96072i	0.204211	+	0.204211i
$853$	−19.8637	+	10.8464i	−0.680119	+	0.371373i	−0.781874	−	0.623436i	$-0.785736\pi$
$853$	−19.8637	+	10.8464i	−0.680119	+	0.371373i	0.101755	+	0.994809i	$0.467554\pi$
$854$	1.59475	+	1.38186i	0.0545711	+	0.0472861i
$855$	0.736110	−	1.05447i	0.0251744	−	0.0360621i
$856$	5.67144	+	0.815430i	0.193846	+	0.0278708i
$857$	−7.19197	−	1.56452i	−0.245673	−	0.0534429i	0.0880426	−	0.996117i	$-0.471939\pi$
$857$	−7.19197	−	1.56452i	−0.245673	−	0.0534429i	−0.333715	+	0.942674i	$0.608302\pi$
$858$	4.62012	−	12.3870i	0.157728	−	0.422886i
$859$	23.0115	−	19.9395i	0.785141	−	0.680328i	−0.167011	−	0.985955i	$-0.553411\pi$
$859$	23.0115	−	19.9395i	0.785141	−	0.680328i	0.952151	+	0.305627i	$0.0988660\pi$
$860$	−15.9116	−	12.8892i	−0.542582	−	0.439520i
$861$	0.633357	+	0.289244i	0.0215847	+	0.00985742i
$862$	5.63001	−	10.3106i	0.191759	−	0.351180i
$863$	−11.4831	+	21.0297i	−0.390889	+	0.715860i	−0.996822	−	0.0796556i	$-0.974618\pi$
$863$	−11.4831	+	21.0297i	−0.390889	+	0.715860i	0.605933	+	0.795515i	$0.292800\pi$
$864$	4.66553	+	2.13067i	0.158724	+	0.0724870i
$865$	2.20684	+	1.78765i	0.0750347	+	0.0607819i
$866$	8.04590	−	6.97182i	0.273411	−	0.236912i
$867$	17.7229	−	47.5168i	0.601900	−	1.61376i
$868$	−0.837120	−	0.182104i	−0.0284137	−	0.00618102i
$869$	15.5561	+	2.23663i	0.527706	+	0.0758726i
$870$	−15.0569	+	21.5688i	−0.510476	+	0.731250i
$871$	−12.3279	−	10.6822i	−0.417714	−	0.361951i
$872$	−13.2213	+	7.21938i	−0.447730	+	0.244479i
$873$	0.0564661	+	0.0564661i	0.00191109	+	0.00191109i
$874$	15.3033	+	33.3468i	0.517643	+	1.12797i
$875$	2.14943	−	1.70526i	0.0726641	−	0.0576482i
$876$	15.5366	+	4.56195i	0.524932	+	0.154134i
$877$	−37.1254	+	2.65526i	−1.25363	+	0.0896617i	−0.682310	−	0.731063i	$-0.739025\pi$
$877$	−37.1254	+	2.65526i	−1.25363	+	0.0896617i	−0.571324	+	0.820725i	$0.693570\pi$
$878$	−34.7416	+	7.55757i	−1.17247	+	0.255056i
$879$	5.66824	−	39.4235i	0.191185	−	1.32972i
$880$	−5.99522	−	10.1632i	−0.202099	−	0.342600i
$881$	10.1375	−	4.62964i	0.341541	−	0.155977i	−0.237258	−	0.971447i	$-0.576249\pi$
$881$	10.1375	−	4.62964i	0.341541	−	0.155977i	0.578799	+	0.815470i	$0.303521\pi$
$882$	−0.0372164	+	0.520353i	−0.00125314	+	0.0175212i
$883$	−23.8286	−	17.8379i	−0.801898	−	0.600293i	0.117747	−	0.993044i	$-0.462433\pi$
$883$	−23.8286	−	17.8379i	−0.801898	−	0.600293i	−0.919645	+	0.392751i	$0.871524\pi$
$884$	−4.02173	+	8.80635i	−0.135265	+	0.296190i
$885$	12.1360	+	7.24236i	0.407946	+	0.243449i
$886$	6.32128	−	1.85609i	0.212367	−	0.0623567i
$887$	11.4258	−	4.26161i	0.383642	−	0.143091i	−0.150241	−	0.988649i	$-0.548005\pi$
$887$	11.4258	−	4.26161i	0.383642	−	0.143091i	0.533883	+	0.845558i	$0.320732\pi$
$888$	2.22133	−	2.96735i	0.0745429	−	0.0995776i
$889$	−1.57014	−	1.81204i	−0.0526607	−	0.0607737i
$890$	9.88440	−	23.6926i	0.331326	−	0.794177i
$891$	26.3038	+	40.9296i	0.881211	+	1.37119i
$892$	7.44270	−	5.57153i	0.249200	−	0.186549i
$893$	−3.49402	−	16.0617i	−0.116923	−	0.537485i
$894$	20.6045	−	23.7789i	0.689118	−	0.795285i
$895$	−5.07254	+	15.1123i	−0.169556	+	0.505147i
$896$			0.245405i			0.00819841i
$897$	7.18266	−	9.63187i	0.239822	−	0.321599i
$898$	−3.39768	+	3.39768i	−0.113382	+	0.113382i
$899$	6.59766	−	22.4696i	0.220044	−	0.749402i
$900$	−0.267123	+	0.264421i	−0.00890411	+	0.00881405i
$901$	−4.64076	−	2.98244i	−0.154606	−	0.0993594i
$902$	−5.11656	−	6.83492i	−0.170363	−	0.227578i
$903$	−0.837712	+	3.85090i	−0.0278773	+	0.128150i
$904$	−3.69604	−	8.09320i	−0.122928	−	0.269176i
$905$	22.8814	−	18.3432i	0.760602	−	0.609750i
$906$	3.16427	+	22.0080i	0.105126	+	0.731166i
$907$	−4.71160	−	12.6323i	−0.156446	−	0.419448i	0.834953	−	0.550321i	$-0.185495\pi$
$907$	−4.71160	−	12.6323i	−0.156446	−	0.419448i	−0.991399	+	0.130873i	$0.958222\pi$
$908$	−20.7206	−	11.3143i	−0.687637	−	0.375478i
$909$	0.108898	+	0.370871i	0.00361190	+	0.0123010i
$910$	0.245686	+	0.744477i	0.00814440	+	0.0246792i
$911$	41.6016	−	5.98140i	1.37832	−	0.198173i	0.587007	−	0.809582i	$-0.300306\pi$
$911$	41.6016	−	5.98140i	1.37832	−	0.198173i	0.791315	+	0.611409i	$0.209397\pi$
$912$	13.3819	+	0.957093i	0.443119	+	0.0316925i
$913$	−62.1858	−	23.1941i	−2.05805	−	0.767612i
$914$	2.36555	−	1.52024i	0.0782453	−	0.0502852i
$915$	−27.7447	+	19.1592i	−0.917211	+	0.633382i
$916$	−8.28773	+	12.8960i	−0.273834	+	0.426094i
$917$	−0.0213576	−	0.298618i	−0.000705289	−	0.00986122i
$918$	−16.6570	−	30.5050i	−0.549763	−	1.00681i
$919$	36.3486			1.19903			0.599515	−	0.800364i	$-0.295360\pi$
$919$	36.3486			1.19903			0.599515	+	0.800364i	$0.295360\pi$
$920$	−2.64482	−	10.3925i	−0.0871970	−	0.342632i
$921$	−12.1152			−0.399211
$922$	17.1558	+	31.4186i	0.564998	+	1.03472i
$923$	0.489933	+	6.85016i	0.0161263	+	0.225476i
$924$	−1.22776	+	1.91043i	−0.0403903	+	0.0628485i
$925$	−5.66858	−	8.91985i	−0.186382	−	0.293283i
$926$	−0.665238	+	0.427523i	−0.0218611	+	0.0140493i
$927$	0.786650	+	0.293405i	0.0258370	+	0.00963669i
$928$	−6.69115	−	0.478561i	−0.219648	−	0.0157095i
$929$	−9.36355	+	1.34628i	−0.307208	+	0.0441699i	−0.294195	−	0.955745i	$-0.595051\pi$
$929$	−9.36355	+	1.34628i	−0.307208	+	0.0441699i	−0.0130132	+	0.999915i	$0.504142\pi$
$930$	6.15841	−	12.2252i	0.201942	−	0.400881i
$931$	−14.9580	−	50.9423i	−0.490229	−	1.66957i
$932$	−1.16298	−	0.635037i	−0.0380948	−	0.0208013i
$933$	2.40092	+	6.43713i	0.0786027	+	0.210742i
$934$	−1.20587	−	8.38704i	−0.0394574	−	0.274432i
$935$	−8.74932	+	79.4795i	−0.286133	+	2.59926i
$936$	−0.0446142	−	0.0976914i	−0.00145826	−	0.00319314i
$937$	1.82460	−	8.38757i	0.0596072	−	0.274010i	−0.937691	−	0.347471i	$-0.887041\pi$
$937$	1.82460	−	8.38757i	0.0596072	−	0.274010i	0.997298	+	0.0734606i	$0.0234043\pi$
$938$	1.67916	+	2.24309i	0.0548265	+	0.0732396i
$939$	−34.1133	−	21.9233i	−1.11324	−	0.715439i
$940$	0.159272	+	4.80162i	0.00519490	+	0.156612i
$941$	−1.30297	+	4.43750i	−0.0424755	+	0.144658i	−0.978001	−	0.208602i	$-0.933109\pi$
$941$	−1.30297	+	4.43750i	−0.0424755	+	0.144658i	0.935525	+	0.353260i	$0.114927\pi$
$942$	−1.76380	+	1.76380i	−0.0574677	+	0.0574677i
$943$	−2.72503	−	7.26516i	−0.0887393	−	0.236586i
$944$			3.60417i			0.117306i
$945$	−2.66822	−	0.895607i	−0.0867971	−	0.0291341i
$946$	31.6460	−	36.5214i	1.02890	−	1.18741i
$947$	−8.46627	−	38.9188i	−0.275117	−	1.26469i	−0.882511	−	0.470292i	$-0.844149\pi$
$947$	−8.46627	−	38.9188i	−0.275117	−	1.26469i	0.607394	−	0.794401i	$-0.292215\pi$
$948$	4.18098	−	3.12984i	0.135792	−	0.101652i
$949$	7.13210	+	11.0978i	0.231518	+	0.360249i
$950$	16.0674	−	34.7146i	0.521294	−	1.12629i
$951$	−14.1335	−	16.3110i	−0.458311	−	0.528919i
$952$	0.996580	−	1.33127i	0.0322993	−	0.0431469i
$953$	−17.5907	+	6.56100i	−0.569819	+	0.212532i	−0.617825	−	0.786315i	$-0.711986\pi$
$953$	−17.5907	+	6.56100i	−0.569819	+	0.212532i	0.0480060	+	0.998847i	$0.484713\pi$
$954$	0.0587170	−	0.0172409i	0.00190103	−	0.000558194i
$955$	5.78164	+	22.8949i	0.187089	+	0.740862i
$956$	−6.70296	+	14.6774i	−0.216789	+	0.474702i
$957$	−49.6950	−	37.2012i	−1.60641	−	1.20254i
$958$	2.02932	−	28.3736i	0.0655642	−	0.916708i
$959$	−3.04585	+	1.39099i	−0.0983557	+	0.0449175i
$960$	−3.79693	−	0.979393i	−0.122545	−	0.0316098i
$961$	2.67740	−	18.6217i	0.0863678	−	0.600701i
$962$	2.95080	−	0.641907i	0.0951376	−	0.0206959i
$963$	0.429624	−	0.0307273i	0.0138444	−	0.000990175i
$964$	−23.2717	−	6.83317i	−0.749529	−	0.220082i
$965$	−32.5760	+	30.1752i	−1.04866	+	0.971373i
$966$	−1.55727	+	1.35442i	−0.0501045	+	0.0435778i
$967$	6.91256	+	6.91256i	0.222293	+	0.222293i	0.809463	−	0.587170i	$-0.199758\pi$
$967$	6.91256	+	6.91256i	0.222293	+	0.222293i	−0.587170	+	0.809463i	$0.699758\pi$
$968$	14.7858	−	8.07368i	0.475235	−	0.259498i
$969$	−68.7075	−	59.5354i	−2.20720	−	1.91255i
$970$	1.94771	+	1.35967i	0.0625373	+	0.0436564i
$971$	−26.1550	−	3.76051i	−0.839352	−	0.120681i	−0.290787	−	0.956788i	$-0.593917\pi$
$971$	−26.1550	−	3.76051i	−0.839352	−	0.120681i	−0.548566	+	0.836107i	$0.684826\pi$
$972$	0.763186	+	0.166021i	0.0244792	+	0.00532513i
$973$	−0.267964	+	0.718440i	−0.00859054	+	0.0230321i
$974$	32.4174	−	28.0898i	1.03872	−	0.900056i
$975$	−12.4991	+	0.830119i	−0.400292	+	0.0265851i
$976$	−7.82160	−	3.57201i	−0.250363	−	0.114337i
$977$	−18.4792	+	33.8421i	−0.591202	+	1.08271i	0.395237	+	0.918579i	$0.370662\pi$
$977$	−18.4792	+	33.8421i	−0.591202	+	1.08271i	−0.986439	+	0.164126i	$0.947519\pi$
$978$	−5.25183	+	9.61802i	−0.167935	+	0.307550i
$979$	55.1089	+	25.1674i	1.76129	+	0.804353i
$980$	1.61956	+	15.4331i	0.0517350	+	0.492991i
$981$	−0.855809	+	0.741563i	−0.0273239	+	0.0236763i
$982$	−1.73740	+	4.65816i	−0.0554428	+	0.148648i
$983$	17.1604	+	3.73301i	0.547331	+	0.119065i	0.477724	−	0.878510i	$-0.341462\pi$
$983$	17.1604	+	3.73301i	0.547331	+	0.119065i	0.0696068	+	0.997575i	$0.477826\pi$
$984$	−2.80838	−	0.403784i	−0.0895279	−	0.0128722i
$985$	−4.31824	−	24.2875i	−0.137591	−	0.773864i
$986$	34.3548	+	29.7686i	1.09408	+	0.948024i
$987$	0.811513	−	0.443120i	0.0258307	−	0.0141047i
$988$	7.72869	+	7.72869i	0.245883	+	0.245883i
$989$	36.9028	−	23.8122i	1.17344	−	0.757185i
$990$	−0.602776	−	0.650735i	−0.0191575	−	0.0206817i
$991$	32.4191	+	9.51910i	1.02983	+	0.302384i	0.752640	−	0.658432i	$-0.228780\pi$
$991$	32.4191	+	9.51910i	1.02983	+	0.302384i	0.277186	+	0.960816i	$0.410598\pi$
$992$	3.48206	−	0.249042i	0.110556	−	0.00790709i
$993$	−21.9064	+	4.76544i	−0.695178	+	0.151227i
$994$	0.167885	−	1.16767i	0.00532499	−	0.0370362i
$995$	43.5107	−	25.6668i	1.37938	−	0.813693i
$996$	−20.0627	+	9.16233i	−0.635711	+	0.290320i
$997$	2.10167	−	29.3852i	0.0665607	−	0.930640i	−0.848983	−	0.528421i	$-0.822784\pi$
$997$	2.10167	−	29.3852i	0.0665607	−	0.930640i	0.915543	−	0.402219i	$-0.131761\pi$
$998$	0.681113	+	0.509875i	0.0215602	+	0.0161398i
$999$	−4.50367	+	9.86167i	−0.142490	+	0.312009i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.97.10	yes	240
5.3	odd	4	inner	230.2.l.a.143.9	yes	240
23.14	odd	22	inner	230.2.l.a.37.9	✓	240
115.83	even	44	inner	230.2.l.a.83.10	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.37.9	✓	240	23.14	odd	22	inner
230.2.l.a.83.10	yes	240	115.83	even	44	inner
230.2.l.a.97.10	yes	240	1.1	even	1	trivial
230.2.l.a.143.9	yes	240	5.3	odd	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.479249 + 0.877679i) q^{2} +(0.125102 + 1.74915i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(-0.402612 + 2.19952i) q^{5} +(-1.47524 + 0.948077i) q^{6} +(0.229932 + 0.0857603i) q^{7} +(-0.997452 - 0.0713392i) q^{8} +(-0.0744076 + 0.0106982i) q^{9} +O(q^{10})\)	\(q+(0.479249 + 0.877679i) q^{2} +(0.125102 + 1.74915i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(-0.402612 + 2.19952i) q^{5} +(-1.47524 + 0.948077i) q^{6} +(0.229932 + 0.0857603i) q^{7} +(-0.997452 - 0.0713392i) q^{8} +(-0.0744076 + 0.0106982i) q^{9} +(-2.12343 + 0.700755i) q^{10} +(-1.48670 - 5.06323i) q^{11} +(-1.53911 - 0.840419i) q^{12} +(-0.499267 - 1.33859i) q^{13} +(0.0349248 + 0.242907i) q^{14} +(-3.89766 - 0.429065i) q^{15} +(-0.415415 - 0.909632i) q^{16} +(-1.44043 + 6.62156i) q^{17} +(-0.0450493 - 0.0601789i) q^{18} +(6.43603 + 4.13618i) q^{19} +(-1.63269 - 1.52785i) q^{20} +(-0.121243 + 0.412915i) q^{21} +(3.73139 - 3.73139i) q^{22} +(4.20496 - 2.30615i) q^{23} -1.75362i q^{24} +(-4.67581 - 1.77111i) q^{25} +(0.935576 - 1.07971i) q^{26} +(1.09025 + 5.01181i) q^{27} +(-0.196457 + 0.147066i) q^{28} +(-3.62675 - 5.64333i) q^{29} +(-1.49137 - 3.62652i) q^{30} +(2.28609 + 2.63829i) q^{31} +(0.599278 - 0.800541i) q^{32} +(8.67035 - 3.23387i) q^{33} +(-6.50193 + 1.90914i) q^{34} +(-0.281205 + 0.471213i) q^{35} +(0.0312279 - 0.0683795i) q^{36} +(1.69213 + 1.26671i) q^{37} +(-0.545782 + 7.63103i) q^{38} +(2.27893 - 1.04075i) q^{39} +(0.558499 - 2.16520i) q^{40} +(0.230258 - 1.60148i) q^{41} +(-0.420512 + 0.0914767i) q^{42} +(9.13432 - 0.653300i) q^{43} +(5.06323 + 1.48670i) q^{44} +(0.00642648 - 0.167968i) q^{45} +(4.03928 + 2.58538i) q^{46} +(-1.51924 - 1.51924i) q^{47} +(1.53911 - 0.840419i) q^{48} +(-5.24473 - 4.54459i) q^{49} +(-0.686409 - 4.95266i) q^{50} +(-11.7623 - 1.69116i) q^{51} +(1.39601 + 0.303684i) q^{52} +(-0.284488 + 0.762743i) q^{53} +(-3.87626 + 3.35880i) q^{54} +(11.7352 - 1.23151i) q^{55} +(-0.223228 - 0.101945i) q^{56} +(-6.42965 + 11.7750i) q^{57} +(3.21492 - 5.88768i) q^{58} +(-3.27847 - 1.49723i) q^{59} +(2.46819 - 3.04695i) q^{60} +(6.49842 - 5.63091i) q^{61} +(-1.21996 + 3.27085i) q^{62} +(-0.0180262 - 0.00392136i) q^{63} +(0.989821 + 0.142315i) q^{64} +(3.14526 - 0.559218i) q^{65} +(6.99356 + 6.05995i) q^{66} +(10.0211 - 5.47194i) q^{67} +(-4.79165 - 4.79165i) q^{68} +(4.55985 + 7.06659i) q^{69} +(-0.548341 - 0.0209796i) q^{70} +(-4.61233 - 1.35430i) q^{71} +(0.0749812 - 0.00536276i) q^{72} +(-9.02273 + 1.96278i) q^{73} +(-0.300815 + 2.09222i) q^{74} +(2.51299 - 8.40025i) q^{75} +(-6.95916 + 3.17814i) q^{76} +(0.0923841 - 1.29170i) q^{77} +(2.00562 + 1.50139i) q^{78} +(-1.23720 + 2.70910i) q^{79} +(2.16801 - 0.547486i) q^{80} +(-8.84640 + 2.59754i) q^{81} +(1.51594 - 0.565415i) q^{82} +(7.53733 - 10.0687i) q^{83} +(-0.281817 - 0.325234i) q^{84} +(-13.9843 - 5.83418i) q^{85} +(4.95100 + 7.70391i) q^{86} +(9.41732 - 7.04972i) q^{87} +(1.12170 + 5.15639i) q^{88} +(-7.51830 + 8.67658i) q^{89} +(0.150502 - 0.0748583i) q^{90} -0.350601i q^{91} +(-0.333310 + 4.78423i) q^{92} +(-4.32877 + 4.32877i) q^{93} +(0.605311 - 2.06150i) q^{94} +(-11.6889 + 12.4909i) q^{95} +(1.47524 + 0.948077i) q^{96} +(-0.636606 - 0.850406i) q^{97} +(1.47516 - 6.78118i) q^{98} +(0.164789 + 0.360837i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) 240 * q - 8 * q^3 - 8 * q^6	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) 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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