LMFDB - Embedded newform 760.2.w.c.267.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [760,2,Mod(267,760)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(760, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 2, 1, 0]))

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

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

chi := DirichletCharacter("760.267");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 760 = 2^{3} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	760.w (of order $4$, degree $2$, 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:	$6.06863055362$
Analytic rank:	$0$
Dimension:	$104$
Relative dimension:	$52$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			267.11
Character	$\chi$	$=$	760.267
Dual form			760.2.w.c.723.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.14719 + 0.827016i) q^{2} +(0.0947206 - 0.0947206i) q^{3} +(0.632090 - 1.89749i) q^{4} +(0.772974 + 2.09822i) q^{5} +(-0.0303271 + 0.186998i) q^{6} +(2.71510 - 2.71510i) q^{7} +(0.844126 + 2.69953i) q^{8} +2.98206i q^{9} +O(q^{10})$	\(q+(-1.14719 + 0.827016i) q^{2} +(0.0947206 - 0.0947206i) q^{3} +(0.632090 - 1.89749i) q^{4} +(0.772974 + 2.09822i) q^{5} +(-0.0303271 + 0.186998i) q^{6} +(2.71510 - 2.71510i) q^{7} +(0.844126 + 2.69953i) q^{8} +2.98206i q^{9} +(-2.62201 - 1.76779i) q^{10} -0.139065 q^{11} +(-0.119859 - 0.239603i) q^{12} +(2.71541 + 2.71541i) q^{13} +(-0.869304 + 5.36016i) q^{14} +(0.271961 + 0.125528i) q^{15} +(-3.20093 - 2.39877i) q^{16} +(-2.11110 - 2.11110i) q^{17} +(-2.46621 - 3.42098i) q^{18} -1.00000i q^{19} +(4.46993 - 0.140448i) q^{20} -0.514351i q^{21} +(0.159534 - 0.115009i) q^{22} +(1.72169 + 1.72169i) q^{23} +(0.335657 + 0.175745i) q^{24} +(-3.80502 + 3.24373i) q^{25} +(-5.36079 - 0.869405i) q^{26} +(0.566624 + 0.566624i) q^{27} +(-3.43568 - 6.86805i) q^{28} +9.86425 q^{29} +(-0.415804 + 0.0809117i) q^{30} -8.18164i q^{31} +(5.65589 + 0.104624i) q^{32} +(-0.0131723 + 0.0131723i) q^{33} +(4.16774 + 0.675919i) q^{34} +(7.79556 + 3.59816i) q^{35} +(5.65842 + 1.88493i) q^{36} +(-8.15787 + 8.15787i) q^{37} +(0.827016 + 1.14719i) q^{38} +0.514411 q^{39} +(-5.01171 + 3.85782i) q^{40} +3.62524 q^{41} +(0.425376 + 0.590058i) q^{42} +(0.287317 - 0.287317i) q^{43} +(-0.0879014 + 0.263874i) q^{44} +(-6.25700 + 2.30505i) q^{45} +(-3.39896 - 0.551239i) q^{46} +(-4.43259 + 4.43259i) q^{47} +(-0.530406 + 0.0759810i) q^{48} -7.74350i q^{49} +(1.68247 - 6.86799i) q^{50} -0.399929 q^{51} +(6.86885 - 3.43608i) q^{52} +(7.73694 + 7.73694i) q^{53} +(-1.11863 - 0.181418i) q^{54} +(-0.107493 - 0.291788i) q^{55} +(9.62136 + 5.03759i) q^{56} +(-0.0947206 - 0.0947206i) q^{57} +(-11.3162 + 8.15789i) q^{58} -6.51120i q^{59} +(0.410091 - 0.436698i) q^{60} -9.38809i q^{61} +(6.76635 + 9.38590i) q^{62} +(8.09657 + 8.09657i) q^{63} +(-6.57490 + 4.55748i) q^{64} +(-3.59858 + 7.79647i) q^{65} +(0.00421743 - 0.0260048i) q^{66} +(7.97800 + 7.97800i) q^{67} +(-5.34019 + 2.67138i) q^{68} +0.326158 q^{69} +(-11.9187 + 2.31928i) q^{70} +15.1449i q^{71} +(-8.05014 + 2.51723i) q^{72} +(-0.542172 + 0.542172i) q^{73} +(2.61194 - 16.1053i) q^{74} +(-0.0531657 + 0.667662i) q^{75} +(-1.89749 - 0.632090i) q^{76} +(-0.377574 + 0.377574i) q^{77} +(-0.590127 + 0.425426i) q^{78} +7.69512 q^{79} +(2.55890 - 8.57042i) q^{80} -8.83883 q^{81} +(-4.15883 + 2.99813i) q^{82} +(-5.84167 + 5.84167i) q^{83} +(-0.975975 - 0.325116i) q^{84} +(2.79772 - 6.06136i) q^{85} +(-0.0919916 + 0.567223i) q^{86} +(0.934347 - 0.934347i) q^{87} +(-0.117388 - 0.375409i) q^{88} +0.378173i q^{89} +(5.27165 - 7.81897i) q^{90} +14.7452 q^{91} +(4.35514 - 2.17862i) q^{92} +(-0.774970 - 0.774970i) q^{93} +(1.41920 - 8.75085i) q^{94} +(2.09822 - 0.772974i) q^{95} +(0.545639 - 0.525819i) q^{96} +(-12.2313 - 12.2313i) q^{97} +(6.40399 + 8.88326i) q^{98} -0.414699i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 104 q - 8 q^{3} - 8 q^{6}+O(q^{10}) $ 104 * q - 8 * q^3 - 8 * q^6	$ 104 q - 8 q^{3} - 8 q^{6} + 4 q^{10} + 16 q^{11} - 18 q^{12} - 16 q^{16} + 20 q^{22} + 8 q^{25} - 24 q^{26} + 16 q^{27} + 16 q^{28} - 44 q^{30} + 50 q^{32} + 32 q^{33} - 36 q^{35} + 136 q^{36} + 4 q^{40} + 8 q^{41} + 20 q^{42} - 44 q^{43} - 56 q^{46} + 38 q^{48} + 24 q^{50} - 16 q^{51} - 94 q^{52} - 28 q^{56} + 8 q^{57} + 8 q^{58} - 2 q^{60} - 20 q^{62} + 44 q^{65} + 52 q^{66} - 40 q^{67} - 56 q^{68} - 32 q^{70} + 88 q^{72} - 48 q^{73} + 56 q^{75} + 8 q^{76} + 52 q^{78} - 80 q^{80} - 152 q^{81} - 100 q^{82} - 44 q^{83} - 104 q^{86} + 20 q^{88} + 72 q^{90} - 64 q^{91} - 64 q^{92} - 52 q^{96} + 20 q^{97} - 100 q^{98}+O(q^{100}) $ 104 * q - 8 * q^3 - 8 * q^6 + 4 * q^10 + 16 * q^11 - 18 * q^12 - 16 * q^16 + 20 * q^22 + 8 * q^25 - 24 * q^26 + 16 * q^27 + 16 * q^28 - 44 * q^30 + 50 * q^32 + 32 * q^33 - 36 * q^35 + 136 * q^36 + 4 * q^40 + 8 * q^41 + 20 * q^42 - 44 * q^43 - 56 * q^46 + 38 * q^48 + 24 * q^50 - 16 * q^51 - 94 * q^52 - 28 * q^56 + 8 * q^57 + 8 * q^58 - 2 * q^60 - 20 * q^62 + 44 * q^65 + 52 * q^66 - 40 * q^67 - 56 * q^68 - 32 * q^70 + 88 * q^72 - 48 * q^73 + 56 * q^75 + 8 * q^76 + 52 * q^78 - 80 * q^80 - 152 * q^81 - 100 * q^82 - 44 * q^83 - 104 * q^86 + 20 * q^88 + 72 * q^90 - 64 * q^91 - 64 * q^92 - 52 * q^96 + 20 * q^97 - 100 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/760\mathbb{Z}\right)^\times$.

$n$	$191$	$381$	$401$	$457$
$\chi(n)$	$-1$	$-1$	$1$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−1.14719	+	0.827016i	−0.811186	+	0.584789i
$2$	−1.14719	+	0.827016i	−0.811186	+	0.584789i
$3$	0.0947206	−	0.0947206i	0.0546869	−	0.0546869i	−0.679234	−	0.733921i	$-0.737688\pi$
$3$	0.0947206	−	0.0947206i	0.0546869	−	0.0546869i	0.733921	+	0.679234i	$0.237688\pi$
$4$	0.632090	−	1.89749i	0.316045	−	0.948744i
$5$	0.772974	+	2.09822i	0.345684	+	0.938351i
$5$	0.772974	+	2.09822i	0.345684	+	0.938351i
$6$	−0.0303271	+	0.186998i	−0.0123810	+	0.0763416i
$7$	2.71510	−	2.71510i	1.02621	−	1.02621i	0.0265628	−	0.999647i	$-0.491544\pi$
$7$	2.71510	−	2.71510i	1.02621	−	1.02621i	0.999647	−	0.0265628i	$-0.00845619\pi$
$8$	0.844126	+	2.69953i	0.298444	+	0.954427i
$9$			2.98206i			0.994019i
$10$	−2.62201	−	1.76779i	−0.829151	−	0.559025i
$11$	−0.139065			−0.0419296			−0.0209648	−	0.999780i	$-0.506674\pi$
$11$	−0.139065			−0.0419296			−0.0209648	+	0.999780i	$0.506674\pi$
$12$	−0.119859	−	0.239603i	−0.0346004	−	0.0691675i
$13$	2.71541	+	2.71541i	0.753120	+	0.753120i	0.975060	−	0.221940i	$-0.0712389\pi$
$13$	2.71541	+	2.71541i	0.753120	+	0.753120i	−0.221940	+	0.975060i	$0.571239\pi$
$14$	−0.869304	+	5.36016i	−0.232331	+	1.43256i
$15$	0.271961	+	0.125528i	0.0702200	+	0.0324111i
$16$	−3.20093	−	2.39877i	−0.800231	−	0.599691i
$17$	−2.11110	−	2.11110i	−0.512017	−	0.512017i	0.403127	−	0.915144i	$-0.367923\pi$
$17$	−2.11110	−	2.11110i	−0.512017	−	0.512017i	−0.915144	+	0.403127i	$0.867923\pi$
$18$	−2.46621	−	3.42098i	−0.581291	−	0.806334i
$19$		−	1.00000i		−	0.229416i
$19$		−	1.00000i		−	0.229416i
$20$	4.46993	−	0.140448i	0.999507	−	0.0314052i
$21$		−	0.514351i		−	0.112241i
$22$	0.159534	−	0.115009i	0.0340127	−	0.0245200i
$23$	1.72169	+	1.72169i	0.358996	+	0.358996i	0.863443	−	0.504447i	$-0.168303\pi$
$23$	1.72169	+	1.72169i	0.358996	+	0.358996i	−0.504447	+	0.863443i	$0.668303\pi$
$24$	0.335657	+	0.175745i	0.0685157	+	0.0358737i
$25$	−3.80502	+	3.24373i	−0.761005	+	0.648747i
$26$	−5.36079	−	0.869405i	−1.05134	−	0.170504i
$27$	0.566624	+	0.566624i	0.109047	+	0.109047i
$28$	−3.43568	−	6.86805i	−0.649282	−	1.29794i
$29$	9.86425			1.83174			0.915872	−	0.401469i	$-0.131500\pi$
$29$	9.86425			1.83174			0.915872	+	0.401469i	$0.131500\pi$
$30$	−0.415804	+	0.0809117i	−0.0759151	+	0.0147724i
$31$		−	8.18164i		−	1.46947i	−0.678356	−	0.734733i	$-0.737307\pi$
$31$		−	8.18164i		−	1.46947i	0.678356	−	0.734733i	$-0.262693\pi$
$32$	5.65589	+	0.104624i	0.999829	+	0.0184951i
$33$	−0.0131723	+	0.0131723i	−0.00229300	+	0.00229300i
$34$	4.16774	+	0.675919i	0.714762	+	0.115919i
$35$	7.79556	+	3.59816i	1.31769	+	0.608200i
$36$	5.65842	+	1.88493i	0.943070	+	0.314154i
$37$	−8.15787	+	8.15787i	−1.34115	+	1.34115i	−0.446223	+	0.894922i	$0.647231\pi$
$37$	−8.15787	+	8.15787i	−1.34115	+	1.34115i	−0.894922	+	0.446223i	$0.852769\pi$
$38$	0.827016	+	1.14719i	0.134160	+	0.186099i
$39$	0.514411			0.0823717
$40$	−5.01171	+	3.85782i	−0.792420	+	0.609975i
$41$	3.62524			0.566167			0.283083	−	0.959095i	$-0.408643\pi$
$41$	3.62524			0.566167			0.283083	+	0.959095i	$0.408643\pi$
$42$	0.425376	+	0.590058i	0.0656370	+	0.0910480i
$43$	0.287317	−	0.287317i	0.0438155	−	0.0438155i	−0.684860	−	0.728675i	$-0.740136\pi$
$43$	0.287317	−	0.287317i	0.0438155	−	0.0438155i	0.728675	+	0.684860i	$0.240136\pi$
$44$	−0.0879014	+	0.263874i	−0.0132516	+	0.0397805i
$45$	−6.25700	+	2.30505i	−0.932738	+	0.343617i
$46$	−3.39896	−	0.551239i	−0.501149	−	0.0812758i
$47$	−4.43259	+	4.43259i	−0.646560	+	0.646560i	−0.952160	−	0.305600i	$-0.901143\pi$
$47$	−4.43259	+	4.43259i	−0.646560	+	0.646560i	0.305600	+	0.952160i	$0.401143\pi$
$48$	−0.530406	+	0.0759810i	−0.0765575	+	0.0109669i
$49$		−	7.74350i		−	1.10621i
$50$	1.68247	−	6.86799i	0.237937	−	0.971281i
$51$	−0.399929			−0.0560012
$52$	6.86885	−	3.43608i	0.952538	−	0.476499i
$53$	7.73694	+	7.73694i	1.06275	+	1.06275i	0.997895	+	0.0648552i	$0.0206586\pi$
$53$	7.73694	+	7.73694i	1.06275	+	1.06275i	0.0648552	+	0.997895i	$0.479341\pi$
$54$	−1.11863	−	0.181418i	−0.152227	−	0.0246879i
$55$	−0.107493	−	0.291788i	−0.0144944	−	0.0393447i
$56$	9.62136	+	5.03759i	1.28571	+	0.673177i
$57$	−0.0947206	−	0.0947206i	−0.0125460	−	0.0125460i
$58$	−11.3162	+	8.15789i	−1.48589	+	1.07118i
$59$		−	6.51120i		−	0.847685i	−0.905736	−	0.423843i	$-0.860681\pi$
$59$		−	6.51120i		−	0.847685i	0.905736	−	0.423843i	$-0.139319\pi$
$60$	0.410091	−	0.436698i	0.0529425	−	0.0563774i
$61$		−	9.38809i		−	1.20202i	−0.799241	−	0.601011i	$-0.794765\pi$
$61$		−	9.38809i		−	1.20202i	0.799241	−	0.601011i	$-0.205235\pi$
$62$	6.76635	+	9.38590i	0.859327	+	1.19201i
$63$	8.09657	+	8.09657i	1.02007	+	1.02007i
$64$	−6.57490	+	4.55748i	−0.821863	+	0.569686i
$65$	−3.59858	+	7.79647i	−0.446349	+	0.967033i
$66$	0.00421743	−	0.0260048i	0.000519130	−	0.00320097i
$67$	7.97800	+	7.97800i	0.974668	+	0.974668i	0.999687	−	0.0250193i	$-0.00796473\pi$
$67$	7.97800	+	7.97800i	0.974668	+	0.974668i	−0.0250193	+	0.999687i	$0.507965\pi$
$68$	−5.34019	+	2.67138i	−0.647593	+	0.323953i
$69$	0.326158			0.0392648
$70$	−11.9187	+	2.31928i	−1.42456	+	0.277206i
$71$			15.1449i			1.79737i	0.438595	+	0.898685i	$0.355476\pi$
$71$			15.1449i			1.79737i	−0.438595	+	0.898685i	$0.644524\pi$
$72$	−8.05014	+	2.51723i	−0.948719	+	0.296659i
$73$	−0.542172	+	0.542172i	−0.0634564	+	0.0634564i	−0.738123	−	0.674666i	$-0.764288\pi$
$73$	−0.542172	+	0.542172i	−0.0634564	+	0.0634564i	0.674666	+	0.738123i	$0.264288\pi$
$74$	2.61194	−	16.1053i	0.303632	−	1.87220i
$75$	−0.0531657	+	0.667662i	−0.00613905	+	0.0770950i
$76$	−1.89749	−	0.632090i	−0.217657	−	0.0725057i
$77$	−0.377574	+	0.377574i	−0.0430286	+	0.0430286i
$78$	−0.590127	+	0.425426i	−0.0668187	+	0.0481700i
$79$	7.69512			0.865769			0.432884	−	0.901449i	$-0.357496\pi$
$79$	7.69512			0.865769			0.432884	+	0.901449i	$0.357496\pi$
$80$	2.55890	−	8.57042i	0.286093	−	0.958202i
$81$	−8.83883			−0.982092
$82$	−4.15883	+	2.99813i	−0.459266	+	0.331088i
$83$	−5.84167	+	5.84167i	−0.641207	+	0.641207i	−0.950852	−	0.309645i	$-0.899790\pi$
$83$	−5.84167	+	5.84167i	−0.641207	+	0.641207i	0.309645	+	0.950852i	$0.399790\pi$
$84$	−0.975975	−	0.325116i	−0.106488	−	0.0354731i
$85$	2.79772	−	6.06136i	0.303455	−	0.657447i
$86$	−0.0919916	+	0.567223i	−0.00991971	+	0.0611653i
$87$	0.934347	−	0.934347i	0.100173	−	0.100173i
$88$	−0.117388	−	0.375409i	−0.0125136	−	0.0400188i
$89$			0.378173i			0.0400862i	0.999799	+	0.0200431i	$0.00638035\pi$
$89$			0.378173i			0.0400862i	−0.999799	+	0.0200431i	$0.993620\pi$
$90$	5.27165	−	7.81897i	0.555681	−	0.824192i
$91$	14.7452			1.54572
$92$	4.35514	−	2.17862i	0.454054	−	0.227137i
$93$	−0.774970	−	0.774970i	−0.0803606	−	0.0803606i
$94$	1.41920	−	8.75085i	0.146379	−	0.902581i
$95$	2.09822	−	0.772974i	0.215272	−	0.0793054i
$96$	0.545639	−	0.525819i	0.0556890	−	0.0536662i
$97$	−12.2313	−	12.2313i	−1.24190	−	1.24190i	−0.959211	−	0.282691i	$-0.908773\pi$
$97$	−12.2313	−	12.2313i	−1.24190	−	1.24190i	−0.282691	−	0.959211i	$-0.591227\pi$
$98$	6.40399	+	8.88326i	0.646901	+	0.897345i
$99$		−	0.414699i		−	0.0416788i
$100$	3.74983	+	9.27032i	0.374983	+	0.927032i
$101$			5.28951i			0.526326i	0.964751	+	0.263163i	$0.0847657\pi$
$101$			5.28951i			0.526326i	−0.964751	+	0.263163i	$0.915234\pi$
$102$	0.458794	−	0.330747i	0.0454274	−	0.0327489i
$103$	4.76819	+	4.76819i	0.469824	+	0.469824i	0.901858	−	0.432034i	$-0.142204\pi$
$103$	4.76819	+	4.76819i	0.469824	+	0.469824i	−0.432034	+	0.901858i	$0.642204\pi$
$104$	−5.03818	+	9.62249i	−0.494034	+	0.943562i
$105$	1.07922	−	0.397580i	0.105321	−	0.0387998i
$106$	−15.2743	−	2.47717i	−1.48357	−	0.240604i
$107$	−2.84834	−	2.84834i	−0.275359	−	0.275359i	0.555894	−	0.831253i	$-0.312376\pi$
$107$	−2.84834	−	2.84834i	−0.275359	−	0.275359i	−0.831253	+	0.555894i	$0.812376\pi$
$108$	1.43332	−	0.717005i	0.137921	−	0.0689938i
$109$	12.8870			1.23435			0.617177	−	0.786824i	$-0.288276\pi$
$109$	12.8870			1.23435			0.617177	+	0.786824i	$0.288276\pi$
$110$	0.364629	+	0.245837i	0.0347660	+	0.0234397i
$111$			1.54544i			0.146686i
$112$	−15.2037	+	2.17794i	−1.43661	+	0.205796i
$113$	2.71281	−	2.71281i	0.255199	−	0.255199i	−0.567899	−	0.823098i	$-0.692244\pi$
$113$	2.71281	−	2.71281i	0.255199	−	0.255199i	0.823098	+	0.567899i	$0.192244\pi$
$114$	0.186998	+	0.0303271i	0.0175140	+	0.00284039i
$115$	−2.28165	+	4.94329i	−0.212765	+	0.460964i
$116$	6.23509	−	18.7173i	0.578913	−	1.73786i
$117$	−8.09752	+	8.09752i	−0.748616	+	0.748616i
$118$	5.38486	+	7.46958i	0.495717	+	0.687630i
$119$	−11.4637			−1.05087
$120$	−0.109296	+	0.840127i	−0.00997735	+	0.0766927i
$121$	−10.9807			−0.998242
$122$	7.76410	+	10.7699i	0.702928	+	0.975063i
$123$	0.343384	−	0.343384i	0.0309619	−	0.0309619i
$124$	−15.5246	−	5.17153i	−1.39415	−	0.464417i
$125$	−9.74724	−	5.47644i	−0.871819	−	0.489828i
$126$	−15.9843	−	2.59231i	−1.42399	−	0.230942i
$127$	−4.25132	+	4.25132i	−0.377244	+	0.377244i	−0.870107	−	0.492863i	$-0.835950\pi$
$127$	−4.25132	+	4.25132i	−0.377244	+	0.377244i	0.492863	+	0.870107i	$0.335950\pi$
$128$	3.77355	−	10.6658i	0.333538	−	0.942737i
$129$		−	0.0544297i		−	0.00479227i
$130$	−2.31955	−	11.9201i	−0.203438	−	1.04546i
$131$	14.4508			1.26257			0.631286	−	0.775551i	$-0.282528\pi$
$131$	14.4508			1.26257			0.631286	+	0.775551i	$0.282528\pi$
$132$	0.0166682	+	0.0333203i	0.00145078	+	0.00290016i
$133$	−2.71510	−	2.71510i	−0.235429	−	0.235429i
$134$	−15.7502	−	2.55435i	−1.36061	−	0.220662i
$135$	−0.750914	+	1.62688i	−0.0646284	+	0.140020i
$136$	3.91694	−	7.48100i	0.335874	−	0.641491i
$137$	−6.23545	−	6.23545i	−0.532731	−	0.532731i	0.388653	−	0.921384i	$-0.372940\pi$
$137$	−6.23545	−	6.23545i	−0.532731	−	0.532731i	−0.921384	+	0.388653i	$0.872940\pi$
$138$	−0.374165	+	0.269738i	−0.0318511	+	0.0229616i
$139$		−	6.02744i		−	0.511241i	−0.966777	−	0.255620i	$-0.917720\pi$
$139$		−	6.02744i		−	0.511241i	0.966777	−	0.255620i	$-0.0822797\pi$
$140$	11.7550	−	12.5176i	0.993475	−	1.05793i
$141$			0.839715i			0.0707168i
$142$	−12.5251	−	17.3741i	−1.05108	−	1.45800i
$143$	−0.377618	−	0.377618i	−0.0315780	−	0.0315780i
$144$	7.15325	−	9.54534i	0.596104	−	0.795445i
$145$	7.62481	+	20.6973i	0.633206	+	1.71882i
$146$	0.173589	−	1.07036i	0.0143664	−	0.0885836i
$147$	−0.733468	−	0.733468i	−0.0604954	−	0.0604954i
$148$	10.3230	+	20.6360i	0.848542	+	1.69627i
$149$	−7.54982			−0.618506			−0.309253	−	0.950980i	$-0.600079\pi$
$149$	−7.54982			−0.618506			−0.309253	+	0.950980i	$0.600079\pi$
$150$	−0.491176	−	0.809904i	−0.0401043	−	0.0661284i
$151$		−	17.2473i		−	1.40357i	−0.712390	−	0.701784i	$-0.752387\pi$
$151$		−	17.2473i		−	1.40357i	0.712390	−	0.701784i	$-0.247613\pi$
$152$	2.69953	−	0.844126i	0.218961	−	0.0684677i
$153$	6.29541	−	6.29541i	0.508954	−	0.508954i
$154$	0.120890	−	0.745409i	0.00974155	−	0.0600668i
$155$	17.1669	−	6.32420i	1.37888	−	0.507972i
$156$	0.325154	−	0.976089i	0.0260331	−	0.0781497i
$157$	0.688563	−	0.688563i	0.0549533	−	0.0549533i	−0.679096	−	0.734049i	$-0.737628\pi$
$157$	0.688563	−	0.688563i	0.0549533	−	0.0549533i	0.734049	+	0.679096i	$0.237628\pi$
$158$	−8.82777	+	6.36399i	−0.702299	+	0.506292i
$159$	1.46569			0.116237
$160$	4.15233	+	11.9481i	0.328270	+	0.944584i
$161$	9.34908			0.736811
$162$	10.1398	−	7.30985i	0.796659	−	0.574316i
$163$	10.3489	−	10.3489i	0.810590	−	0.810590i	−0.174132	−	0.984722i	$-0.555712\pi$
$163$	10.3489	−	10.3489i	0.810590	−	0.810590i	0.984722	+	0.174132i	$0.0557120\pi$
$164$	2.29147	−	6.87884i	0.178934	−	0.537148i
$165$	−0.0378202	−	0.0174565i	−0.00294430	−	0.00135899i
$166$	1.87035	−	11.5327i	0.145168	−	0.895108i
$167$	6.27222	−	6.27222i	0.485359	−	0.485359i	−0.421479	−	0.906838i	$-0.638489\pi$
$167$	6.27222	−	6.27222i	0.485359	−	0.485359i	0.906838	+	0.421479i	$0.138489\pi$
$168$	1.38850	−	0.434177i	0.107125	−	0.0334975i
$169$			1.74694i			0.134380i
$170$	1.80333	+	9.26729i	0.138309	+	0.710769i
$171$	2.98206			0.228044
$172$	−0.363571	−	0.726792i	−0.0277220	−	0.0554173i
$173$	−4.24806	−	4.24806i	−0.322974	−	0.322974i	0.526933	−	0.849907i	$-0.323342\pi$
$173$	−4.24806	−	4.24806i	−0.322974	−	0.322974i	−0.849907	+	0.526933i	$0.823342\pi$
$174$	−0.299154	+	1.84459i	−0.0226788	+	0.139838i
$175$	−1.52396	+	19.1380i	−0.115200	+	1.44670i
$176$	0.445136	+	0.333584i	0.0335534	+	0.0251448i
$177$	−0.616744	−	0.616744i	−0.0463573	−	0.0463573i
$178$	−0.312755	−	0.433836i	−0.0234420	−	0.0325174i
$179$			0.592255i			0.0442672i	0.999755	+	0.0221336i	$0.00704592\pi$
$179$			0.592255i			0.0442672i	−0.999755	+	0.0221336i	$0.992954\pi$
$180$	0.418825	+	13.3296i	0.0312173	+	0.993528i
$181$		−	4.17818i		−	0.310562i	−0.987870	−	0.155281i	$-0.950372\pi$
$181$		−	4.17818i		−	0.310562i	0.987870	−	0.155281i	$-0.0496283\pi$
$182$	−16.9156	+	12.1945i	−1.25387	+	0.903919i
$183$	−0.889245	−	0.889245i	−0.0657349	−	0.0657349i
$184$	−3.19442	+	6.10106i	−0.235496	+	0.449776i
$185$	−23.4228	−	10.8112i	−1.72208	−	0.794852i
$186$	1.52995	+	0.248125i	0.112181	+	0.0181934i
$187$	0.293579	+	0.293579i	0.0214687	+	0.0214687i
$188$	5.60900	+	11.2126i	0.409078	+	0.817762i
$189$	3.07688			0.223810
$190$	−1.76779	+	2.62201i	−0.128249	+	0.190220i
$191$		−	24.9019i		−	1.80184i	−0.433989	−	0.900918i	$-0.642894\pi$
$191$		−	24.9019i		−	1.80184i	0.433989	−	0.900918i	$-0.357106\pi$
$192$	−0.191091	+	1.05447i	−0.0137908	+	0.0760995i
$193$	3.31418	−	3.31418i	0.238560	−	0.238560i	−0.577694	−	0.816253i	$-0.696047\pi$
$193$	3.31418	−	3.31418i	0.238560	−	0.238560i	0.816253	+	0.577694i	$0.196047\pi$
$194$	24.1471	+	3.91615i	1.73366	+	0.281163i
$195$	0.397626	+	1.07935i	0.0284746	+	0.0772935i
$196$	−14.6932	−	4.89458i	−1.04951	−	0.349613i
$197$	10.1447	−	10.1447i	0.722782	−	0.722782i	−0.246389	−	0.969171i	$-0.579244\pi$
$197$	10.1447	−	10.1447i	0.722782	−	0.722782i	0.969171	+	0.246389i	$0.0792440\pi$
$198$	0.342963	+	0.475738i	0.0243733	+	0.0338093i
$199$	−20.2825			−1.43779			−0.718895	−	0.695119i	$-0.755352\pi$
$199$	−20.2825			−1.43779			−0.718895	+	0.695119i	$0.755352\pi$
$200$	−11.9685	−	7.53365i	−0.846298	−	0.532709i
$201$	1.51136			0.106603
$202$	−4.37451	−	6.06807i	−0.307789	−	0.426948i
$203$	26.7824	−	26.7824i	1.87975	−	1.87975i
$204$	−0.252791	+	0.758860i	−0.0176989	+	0.0531309i
$205$	2.80221	+	7.60653i	0.195715	+	0.531263i
$206$	−9.41339	−	1.52665i	−0.655862	−	0.106367i
$207$	−5.13416	+	5.13416i	−0.356849	+	0.356849i
$208$	−2.17820	−	15.2055i	−0.151031	−	1.05431i
$209$			0.139065i			0.00961931i
$210$	−0.909265	+	1.34863i	−0.0627452	+	0.0930644i
$211$	−20.7951			−1.43159			−0.715796	−	0.698310i	$-0.753936\pi$
$211$	−20.7951			−1.43159			−0.715796	+	0.698310i	$0.753936\pi$
$212$	19.5712	−	9.79031i	1.34415	−	0.672401i
$213$	1.43453	+	1.43453i	0.0982927	+	0.0982927i
$214$	5.62321	+	0.911965i	0.384395	+	0.0623406i
$215$	0.824943	+	0.380765i	0.0562606	+	0.0259680i
$216$	−1.05131	+	2.00792i	−0.0715329	+	0.136622i
$217$	−22.2140	−	22.2140i	−1.50798	−	1.50798i
$218$	−14.7839	+	10.6578i	−1.00129	+	0.721836i
$219$			0.102710i			0.00694048i
$220$	−0.621610	+	0.0195314i	−0.0419089	+	0.00131681i
$221$		−	11.4650i		−	0.771220i
$222$	−1.27810	−	1.77291i	−0.0857804	−	0.118990i
$223$	−12.6143	−	12.6143i	−0.844716	−	0.844716i	0.144752	−	0.989468i	$-0.453762\pi$
$223$	−12.6143	−	12.6143i	−0.844716	−	0.844716i	−0.989468	+	0.144752i	$0.953762\pi$
$224$	15.6403	−	15.0722i	1.04501	−	1.00705i
$225$	−9.67299	−	11.3468i	−0.644866	−	0.756453i
$226$	−0.868571	+	5.35564i	−0.0577765	+	0.356252i
$227$	−6.08690	−	6.08690i	−0.404002	−	0.404002i	0.475639	−	0.879641i	$-0.342217\pi$
$227$	−6.08690	−	6.08690i	−0.404002	−	0.404002i	−0.879641	+	0.475639i	$0.842217\pi$
$228$	−0.239603	+	0.119859i	−0.0158681	+	0.00793788i
$229$	24.0088			1.58655			0.793273	−	0.608866i	$-0.208375\pi$
$229$	24.0088			1.58655			0.793273	+	0.608866i	$0.208375\pi$
$230$	−1.47069	−	7.55785i	−0.0969744	−	0.498350i
$231$			0.0715281i			0.00470620i
$232$	8.32667	+	26.6288i	0.546673	+	1.74827i
$233$	−2.90315	+	2.90315i	−0.190192	+	0.190192i	−0.795779	−	0.605587i	$-0.792938\pi$
$233$	−2.90315	+	2.90315i	−0.190192	+	0.190192i	0.605587	+	0.795779i	$0.292938\pi$
$234$	2.59261	−	15.9862i	0.169485	−	1.04505i
$235$	−12.7268	−	5.87426i	−0.830206	−	0.383194i
$236$	−12.3549	−	4.11566i	−0.804237	−	0.267907i
$237$	0.728886	−	0.728886i	0.0473463	−	0.0473463i
$238$	13.1510	−	9.48064i	0.852453	−	0.614538i
$239$	−10.3966			−0.672502			−0.336251	−	0.941772i	$-0.609159\pi$
$239$	−10.3966			−0.672502			−0.336251	+	0.941772i	$0.609159\pi$
$240$	−0.569415	−	1.05417i	−0.0367555	−	0.0680467i
$241$	21.0537			1.35619			0.678095	−	0.734974i	$-0.262806\pi$
$241$	21.0537			1.35619			0.678095	+	0.734974i	$0.262806\pi$
$242$	12.5969	−	9.08118i	0.809760	−	0.583760i
$243$	−2.53709	+	2.53709i	−0.162754	+	0.162754i
$244$	−17.8138	−	5.93411i	−1.14041	−	0.379893i
$245$	16.2475	−	5.98552i	1.03802	−	0.382401i
$246$	−0.109943	+	0.677912i	−0.00700970	+	0.0432221i
$247$	2.71541	−	2.71541i	0.172778	−	0.172778i
$248$	22.0866	−	6.90634i	1.40250	−	0.438553i
$249$			1.10665i			0.0701313i
$250$	15.7110	−	1.77860i	0.993653	−	0.112489i
$251$	−8.23044			−0.519501			−0.259750	−	0.965676i	$-0.583640\pi$
$251$	−8.23044			−0.519501			−0.259750	+	0.965676i	$0.583640\pi$
$252$	20.4809	−	10.2454i	1.29018	−	0.645399i
$253$	−0.239426	−	0.239426i	−0.0150526	−	0.0150526i
$254$	1.36116	−	8.39299i	0.0854070	−	0.526623i
$255$	−0.309135	−	0.839137i	−0.0193588	−	0.0525488i
$256$	4.49185	+	15.3565i	0.280740	+	0.959784i
$257$	4.10518	+	4.10518i	0.256074	+	0.256074i	0.823455	−	0.567381i	$-0.192043\pi$
$257$	4.10518	+	4.10518i	0.256074	+	0.256074i	−0.567381	+	0.823455i	$0.692043\pi$
$258$	0.0450142	+	0.0624412i	0.00280246	+	0.00388742i
$259$			44.2988i			2.75259i
$260$	12.5191	+	11.7563i	0.776401	+	0.729097i
$261$			29.4157i			1.82079i
$262$	−16.5778	+	11.9510i	−1.02418	+	0.738337i
$263$	−5.35979	−	5.35979i	−0.330499	−	0.330499i	0.522277	−	0.852776i	$-0.325083\pi$
$263$	−5.35979	−	5.35979i	−0.330499	−	0.330499i	−0.852776	+	0.522277i	$0.825083\pi$
$264$	−0.0466781	−	0.0244399i	−0.00287284	−	0.00150417i
$265$	−10.2533	+	22.2142i	−0.629856	+	1.36461i
$266$	5.36016	+	0.869304i	0.328652	+	0.0533004i
$267$	0.0358207	+	0.0358207i	0.00219219	+	0.00219219i
$268$	20.1810	−	10.0954i	1.23275	−	0.616672i
$269$	−23.7153			−1.44595			−0.722973	−	0.690876i	$-0.757225\pi$
$269$	−23.7153			−1.44595			−0.722973	+	0.690876i	$0.757225\pi$
$270$	−0.484018	−	2.48736i	−0.0294564	−	0.151376i
$271$		−	24.7972i		−	1.50633i	−0.657834	−	0.753163i	$-0.728527\pi$
$271$		−	24.7972i		−	1.50633i	0.657834	−	0.753163i	$-0.271473\pi$
$272$	1.69344	+	11.8215i	0.102680	+	0.716784i
$273$	1.39668	−	1.39668i	0.0845306	−	0.0845306i
$274$	12.3101	+	1.99643i	0.743679	+	0.120609i
$275$	0.529145	−	0.451089i	0.0319086	−	0.0272017i
$276$	0.206161	−	0.618881i	0.0124094	−	0.0372523i
$277$	−19.2745	+	19.2745i	−1.15809	+	1.15809i	−0.173206	+	0.984886i	$0.555413\pi$
$277$	−19.2745	+	19.2745i	−1.15809	+	1.15809i	−0.984886	+	0.173206i	$0.944587\pi$
$278$	4.98479	+	6.91462i	0.298968	+	0.414711i
$279$	24.3981			1.46068
$280$	−3.13290	+	24.0816i	−0.187227	+	1.43915i
$281$	−16.8115			−1.00289			−0.501446	−	0.865189i	$-0.667198\pi$
$281$	−16.8115			−1.00289			−0.501446	+	0.865189i	$0.667198\pi$
$282$	−0.694458	−	0.963313i	−0.0413544	−	0.0573645i
$283$	0.957506	−	0.957506i	0.0569178	−	0.0569178i	−0.678075	−	0.734993i	$-0.737186\pi$
$283$	0.957506	−	0.957506i	0.0569178	−	0.0569178i	0.734993	+	0.678075i	$0.237186\pi$
$284$	28.7373	+	9.57294i	1.70524	+	0.568049i
$285$	0.125528	−	0.271961i	0.00743562	−	0.0161096i
$286$	0.745496	+	0.120904i	0.0440821	+	0.00714918i
$287$	9.84287	−	9.84287i	0.581006	−	0.581006i
$288$	−0.311994	+	16.8662i	−0.0183844	+	0.993849i
$289$		−	8.08653i		−	0.475678i
$290$	−25.8641	−	17.4379i	−1.51879	−	1.02399i
$291$	−2.31711			−0.135832
$292$	0.686064	+	1.37147i	0.0401489	+	0.0802590i
$293$	−6.06935	−	6.06935i	−0.354575	−	0.354575i	0.507233	−	0.861809i	$-0.330668\pi$
$293$	−6.06935	−	6.06935i	−0.354575	−	0.354575i	−0.861809	+	0.507233i	$0.830668\pi$
$294$	1.44802	+	0.234838i	0.0844501	+	0.0136960i
$295$	13.6619	−	5.03298i	0.795426	−	0.293032i
$296$	−28.9087	−	15.1361i	−1.68028	−	0.879769i
$297$	−0.0787974	−	0.0787974i	−0.00457229	−	0.00457229i
$298$	8.66108	−	6.24382i	0.501723	−	0.361695i
$299$			9.35017i			0.540735i
$300$	1.23328	+	0.522904i	0.0712032	+	0.0301899i
$301$		−	1.56019i		−	0.0899277i
$302$	14.2638	+	19.7860i	0.820790	+	1.13855i
$303$	0.501025	+	0.501025i	0.0287832	+	0.0287832i
$304$	−2.39877	+	3.20093i	−0.137579	+	0.183586i
$305$	19.6982	−	7.25675i	1.12792	−	0.415520i
$306$	−2.01563	+	12.4284i	−0.115226	+	0.710487i
$307$	5.50972	+	5.50972i	0.314456	+	0.314456i	0.846633	−	0.532177i	$-0.178626\pi$
$307$	5.50972	+	5.50972i	0.314456	+	0.314456i	−0.532177	+	0.846633i	$0.678626\pi$
$308$	0.477782	+	0.955104i	0.0272242	+	0.0544221i
$309$	0.903292			0.0513865
$310$	−14.4634	+	21.4523i	−0.821468	+	1.21841i
$311$			8.19351i			0.464611i	0.972643	+	0.232306i	$0.0746269\pi$
$311$			8.19351i			0.464611i	−0.972643	+	0.232306i	$0.925373\pi$
$312$	0.434228	+	1.38867i	0.0245833	+	0.0786178i
$313$	−6.69886	+	6.69886i	−0.378642	+	0.378642i	−0.870612	−	0.491970i	$-0.836277\pi$
$313$	−6.69886	+	6.69886i	−0.378642	+	0.378642i	0.491970	+	0.870612i	$0.336277\pi$
$314$	−0.220460	+	1.35936i	−0.0124413	+	0.0767134i
$315$	−10.7299	+	23.2468i	−0.604562	+	1.30981i
$316$	4.86401	−	14.6014i	0.273622	−	0.821393i
$317$	−12.9787	+	12.9787i	−0.728957	+	0.728957i	−0.970412	−	0.241455i	$-0.922375\pi$
$317$	−12.9787	+	12.9787i	−0.728957	+	0.728957i	0.241455	+	0.970412i	$0.422375\pi$
$318$	−1.68143	+	1.21215i	−0.0942899	+	0.0679741i
$319$	−1.37177			−0.0768043
$320$	−14.6448	−	10.2728i	−0.818670	−	0.574264i
$321$	−0.539593			−0.0301171
$322$	−10.7252	+	7.73184i	−0.597691	+	0.430879i
$323$	−2.11110	+	2.11110i	−0.117465	+	0.117465i
$324$	−5.58693	+	16.7716i	−0.310385	+	0.931754i
$325$	−19.1403	−	1.52414i	−1.06171	−	0.0845438i
$326$	−3.31346	+	20.4309i	−0.183515	+	1.13156i
$327$	1.22067	−	1.22067i	0.0675030	−	0.0675030i
$328$	3.06016	+	9.78643i	0.168969	+	0.540365i
$329$			24.0698i			1.32701i
$330$	0.0578237	−	0.0112520i	0.00318309	−	0.000619401i
$331$	−12.4073			−0.681968			−0.340984	−	0.940069i	$-0.610760\pi$
$331$	−12.4073			−0.681968			−0.340984	+	0.940069i	$0.610760\pi$
$332$	7.39205	+	14.7770i	0.405691	+	0.810992i
$333$	−24.3272	−	24.3272i	−1.33312	−	1.33312i
$334$	−2.00820	+	12.3827i	−0.109884	+	0.677549i
$335$	−10.5728	+	22.9064i	−0.577653	+	1.25151i
$336$	−1.23381	+	1.64640i	−0.0673097	+	0.0898184i
$337$	−0.755565	−	0.755565i	−0.0411582	−	0.0411582i	0.686228	−	0.727386i	$-0.259265\pi$
$337$	−0.755565	−	0.755565i	−0.0411582	−	0.0411582i	−0.727386	+	0.686228i	$0.759265\pi$
$338$	−1.44475	−	2.00407i	−0.0785839	−	0.109007i
$339$		−	0.513917i		−	0.0279122i
$340$	−9.73296	−	9.13996i	−0.527844	−	0.495684i
$341$			1.13778i			0.0616142i
$342$	−3.42098	+	2.46621i	−0.184986	+	0.133357i
$343$	−2.01866	−	2.01866i	−0.108997	−	0.108997i
$344$	1.01815	+	0.533089i	0.0548951	+	0.0287422i
$345$	0.252112	+	0.684350i	0.0135732	+	0.0368442i
$346$	8.38654	+	1.36012i	0.450863	+	0.0731204i
$347$	−0.0605035	−	0.0605035i	−0.00324800	−	0.00324800i	0.705481	−	0.708729i	$-0.250731\pi$
$347$	−0.0605035	−	0.0605035i	−0.00324800	−	0.00324800i	−0.708729	+	0.705481i	$0.750731\pi$
$348$	−1.18232	−	2.36350i	−0.0633791	−	0.126697i
$349$	−1.92374			−0.102975			−0.0514877	−	0.998674i	$-0.516396\pi$
$349$	−1.92374			−0.102975			−0.0514877	+	0.998674i	$0.516396\pi$
$350$	−14.0792	−	23.2153i	−0.752565	−	1.24091i
$351$			3.07724i			0.164251i
$352$	−0.786535	−	0.0145495i	−0.0419224	−	0.000775491i
$353$	−21.2243	+	21.2243i	−1.12965	+	1.12965i	−0.139422	+	0.990233i	$0.544524\pi$
$353$	−21.2243	+	21.2243i	−1.12965	+	1.12965i	−0.990233	+	0.139422i	$0.955476\pi$
$354$	1.21758	+	0.197466i	0.0647136	+	0.0104952i
$355$	−31.7773	+	11.7066i	−1.68656	+	0.621323i
$356$	0.717579	+	0.239039i	0.0380316	+	0.0126690i
$357$	−1.08585	+	1.08585i	−0.0574690	+	0.0574690i
$358$	−0.489804	−	0.679429i	−0.0258870	−	0.0359089i
$359$	−32.9829			−1.74077			−0.870386	−	0.492370i	$-0.836131\pi$
$359$	−32.9829			−1.74077			−0.870386	+	0.492370i	$0.836131\pi$
$360$	−11.5042	−	14.9452i	−0.606327	−	0.787681i
$361$	−1.00000			−0.0526316
$362$	3.45542	+	4.79317i	0.181613	+	0.251923i
$363$	−1.04009	+	1.04009i	−0.0545908	+	0.0545908i
$364$	9.32030	−	27.9789i	0.488516	−	1.46649i
$365$	−1.55668	−	0.718509i	−0.0814803	−	0.0376085i
$366$	1.75555	+	0.284713i	0.0917642	+	0.0148822i
$367$	14.7245	−	14.7245i	0.768615	−	0.768615i	−0.209248	−	0.977863i	$-0.567102\pi$
$367$	14.7245	−	14.7245i	0.768615	−	0.768615i	0.977863	+	0.209248i	$0.0671015\pi$
$368$	−1.38107	−	9.64090i	−0.0719931	−	0.502567i
$369$			10.8107i			0.562780i
$370$	35.8114	−	6.96857i	1.86174	−	0.362279i
$371$	42.0131			2.18121
$372$	−1.96035	+	0.980646i	−0.101639	+	0.0508441i
$373$	5.87809	+	5.87809i	0.304356	+	0.304356i	0.842715	−	0.538359i	$-0.180956\pi$
$373$	5.87809	+	5.87809i	0.304356	+	0.304356i	−0.538359	+	0.842715i	$0.680956\pi$
$374$	−0.579586	−	0.0939965i	−0.0299697	−	0.00486045i
$375$	−1.44200	+	0.404532i	−0.0744643	+	0.0208900i
$376$	−15.7076	−	8.22424i	−0.810056	−	0.424133i
$377$	26.7855	+	26.7855i	1.37952	+	1.37952i
$378$	−3.52976	+	2.54463i	−0.181551	+	0.130881i
$379$			13.2125i			0.678679i	0.940664	+	0.339339i	$0.110203\pi$
$379$			13.2125i			0.678679i	−0.940664	+	0.339339i	$0.889797\pi$
$380$	−0.140448	−	4.46993i	−0.00720484	−	0.229303i
$381$			0.805375i			0.0412606i
$382$	20.5942	+	28.5672i	1.05369	+	1.46162i
$383$	15.5502	+	15.5502i	0.794578	+	0.794578i	0.982235	−	0.187656i	$-0.0600891\pi$
$383$	15.5502	+	15.5502i	0.794578	+	0.794578i	−0.187656	+	0.982235i	$0.560089\pi$
$384$	−0.652842	−	1.36771i	−0.0333152	−	0.0697956i
$385$	−1.08409	−	0.500377i	−0.0552502	−	0.0255016i
$386$	−1.06111	+	6.54286i	−0.0540092	+	0.333023i
$387$	0.856796	+	0.856796i	0.0435534	+	0.0435534i
$388$	−30.9401	+	15.4775i	−1.57074	+	0.785751i
$389$	8.67824			0.440004			0.220002	−	0.975499i	$-0.429394\pi$
$389$	8.67824			0.440004			0.220002	+	0.975499i	$0.429394\pi$
$390$	−1.34879	−	0.909371i	−0.0682986	−	0.0460478i
$391$		−	7.26929i		−	0.367624i
$392$	20.9038	−	6.53649i	1.05580	−	0.330142i
$393$	1.36879	−	1.36879i	0.0690462	−	0.0690462i
$394$	−3.24808	+	20.0278i	−0.163636	+	1.00899i
$395$	5.94813	+	16.1460i	0.299283	+	0.812395i
$396$	−0.786887	−	0.262127i	−0.0395425	−	0.0131724i
$397$	21.6929	−	21.6929i	1.08873	−	1.08873i	0.0930757	−	0.995659i	$-0.470330\pi$
$397$	21.6929	−	21.6929i	1.08873	−	1.08873i	0.995659	−	0.0930757i	$-0.0296698\pi$
$398$	23.2679	−	16.7740i	1.16631	−	0.840803i
$399$	−0.514351			−0.0257498
$400$	19.9605	−	1.25559i	0.998027	−	0.0627794i
$401$	8.30916			0.414940			0.207470	−	0.978241i	$-0.433477\pi$
$401$	8.30916			0.414940			0.207470	+	0.978241i	$0.433477\pi$
$402$	−1.73382	+	1.24992i	−0.0864750	+	0.0623403i
$403$	22.2165	−	22.2165i	1.10669	−	1.10669i
$404$	10.0368	+	3.34344i	0.499349	+	0.166343i
$405$	−6.83218	−	18.5458i	−0.339494	−	0.921547i
$406$	−8.57503	+	52.8739i	−0.425571	+	2.62409i
$407$	1.13447	−	1.13447i	0.0562337	−	0.0562337i
$408$	−0.337590	−	1.07962i	−0.0167132	−	0.0534491i
$409$			6.69295i			0.330945i	0.986214	+	0.165473i	$0.0529150\pi$
$409$			6.69295i			0.330945i	−0.986214	+	0.165473i	$0.947085\pi$
$410$	−9.50539	−	6.40866i	−0.469438	−	0.316501i
$411$	−1.18125			−0.0582668
$412$	12.0615	−	6.03367i	0.594228	−	0.297257i
$413$	−17.6785	−	17.6785i	−0.869903	−	0.869903i
$414$	1.64383	−	10.1359i	0.0807896	−	0.498152i
$415$	−16.7726	−	7.74163i	−0.823332	−	0.380022i
$416$	15.0740	+	15.6422i	0.739062	+	0.766920i
$417$	−0.570922	−	0.570922i	−0.0279582	−	0.0279582i
$418$	−0.115009	−	0.159534i	−0.00562526	−	0.00780305i
$419$		−	3.33709i		−	0.163027i	−0.996672	−	0.0815137i	$-0.974025\pi$
$419$		−	3.33709i		−	0.163027i	0.996672	−	0.0815137i	$-0.0259754\pi$
$420$	−0.0722397	−	2.29911i	−0.00352494	−	0.112185i
$421$			14.6647i			0.714715i	0.933968	+	0.357357i	$0.116322\pi$
$421$			14.6647i			0.714715i	−0.933968	+	0.357357i	$0.883678\pi$
$422$	23.8559	−	17.1979i	1.16129	−	0.837178i
$423$	−13.2182	−	13.2182i	−0.642693	−	0.642693i
$424$	−14.3551	+	27.4170i	−0.697147	+	1.33149i
$425$	14.8806	+	1.18494i	0.721816	+	0.0574780i
$426$	−2.83207	−	0.459301i	−0.137214	−	0.0222532i
$427$	−25.4896	−	25.4896i	−1.23353	−	1.23353i
$428$	−7.20510	+	3.60429i	−0.348272	+	0.174220i
$429$	−0.0715365			−0.00345381
$430$	−1.26126	+	0.245431i	−0.0608236	+	0.0118357i
$431$		−	23.5334i		−	1.13357i	−0.823867	−	0.566783i	$-0.808188\pi$
$431$		−	23.5334i		−	1.13357i	0.823867	−	0.566783i	$-0.191812\pi$
$432$	−0.454523	−	3.17292i	−0.0218682	−	0.152657i
$433$	20.0727	−	20.0727i	0.964635	−	0.964635i	−0.0347610	−	0.999396i	$-0.511067\pi$
$433$	20.0727	−	20.0727i	0.964635	−	0.964635i	0.999396	+	0.0347610i	$0.0110670\pi$
$434$	43.8549	+	7.11233i	2.10510	+	0.341403i
$435$	2.68269	+	1.23824i	0.128625	+	0.0593689i
$436$	8.14576	−	24.4530i	0.390111	−	1.17109i
$437$	1.72169	−	1.72169i	0.0823594	−	0.0823594i
$438$	−0.0849425	−	0.117828i	−0.00405871	−	0.00563002i
$439$	27.2067			1.29850			0.649252	−	0.760574i	$-0.275082\pi$
$439$	27.2067			1.29850			0.649252	+	0.760574i	$0.275082\pi$
$440$	0.696952	−	0.536487i	0.0332259	−	0.0255760i
$441$	23.0915			1.09960
$442$	9.48174	+	13.1525i	0.451001	+	0.625603i
$443$	−13.1000	+	13.1000i	−0.622399	+	0.622399i	−0.946144	−	0.323745i	$-0.895058\pi$
$443$	−13.1000	+	13.1000i	−0.622399	+	0.622399i	0.323745	+	0.946144i	$0.395058\pi$
$444$	2.93245	+	0.976854i	0.139168	+	0.0463594i
$445$	−0.793488	+	0.292318i	−0.0376150	+	0.0138572i
$446$	24.9032	+	4.03877i	1.17920	+	0.191241i
$447$	−0.715124	+	0.715124i	−0.0338242	+	0.0338242i
$448$	−5.47748	+	30.2255i	−0.258787	+	1.42802i
$449$		−	30.1035i		−	1.42067i	−0.703863	−	0.710335i	$-0.748543\pi$
$449$		−	30.1035i		−	1.42067i	0.703863	−	0.710335i	$-0.251457\pi$
$450$	20.4807	+	5.01721i	0.965471	+	0.236513i
$451$	−0.504143			−0.0237392
$452$	−3.43278	−	6.86226i	−0.161465	−	0.322773i
$453$	−1.63368	−	1.63368i	−0.0767568	−	0.0767568i
$454$	12.0168	+	1.94887i	0.563976	+	0.0914649i
$455$	11.3977	+	30.9387i	0.534331	+	1.45043i
$456$	0.175745	−	0.335657i	0.00823000	−	0.0157186i
$457$	−10.2212	−	10.2212i	−0.478126	−	0.478126i	0.426406	−	0.904532i	$-0.359780\pi$
$457$	−10.2212	−	10.2212i	−0.478126	−	0.478126i	−0.904532	+	0.426406i	$0.859780\pi$
$458$	−27.5427	+	19.8557i	−1.28698	+	0.927794i
$459$		−	2.39240i		−	0.111668i
$460$	7.93762	+	7.45400i	0.370093	+	0.347545i
$461$		−	14.2426i		−	0.663343i	−0.943395	−	0.331672i	$-0.892387\pi$
$461$		−	14.2426i		−	0.663343i	0.943395	−	0.331672i	$-0.107613\pi$
$462$	−0.0591549	−	0.0820563i	−0.00275213	−	0.00381761i
$463$	22.3619	+	22.3619i	1.03924	+	1.03924i	0.999198	+	0.0400461i	$0.0127505\pi$
$463$	22.3619	+	22.3619i	1.03924	+	1.03924i	0.0400461	+	0.999198i	$0.487250\pi$
$464$	−31.5747	−	23.6620i	−1.46582	−	1.09848i
$465$	1.02702	−	2.22509i	0.0476271	−	0.103186i
$466$	0.929514	−	5.73142i	0.0430589	−	0.265503i
$467$	−29.9490	−	29.9490i	−1.38587	−	1.38587i	−0.833784	−	0.552091i	$-0.813830\pi$
$467$	−29.9490	−	29.9490i	−1.38587	−	1.38587i	−0.552091	−	0.833784i	$-0.686170\pi$
$468$	10.2466	+	20.4833i	0.473649	+	0.946841i
$469$	43.3221			2.00043
$470$	19.4582	−	3.78639i	0.897539	−	0.174653i
$471$		−	0.130442i		−	0.00601046i
$472$	17.5772	−	5.49627i	0.809054	−	0.252986i
$473$	−0.0399557	+	0.0399557i	−0.00183717	+	0.00183717i
$474$	−0.233371	+	1.43897i	−0.0107191	+	0.0660942i
$475$	3.24373	+	3.80502i	0.148833	+	0.174586i
$476$	−7.24607	+	21.7522i	−0.332123	+	0.997010i
$477$	−23.0720	+	23.0720i	−1.05639	+	1.05639i
$478$	11.9269	−	8.59818i	0.545524	−	0.393272i
$479$	−10.4150			−0.475875			−0.237938	−	0.971280i	$-0.576471\pi$
$479$	−10.4150			−0.475875			−0.237938	+	0.971280i	$0.576471\pi$
$480$	1.52505	+	0.738424i	0.0696085	+	0.0337043i
$481$	−44.3040			−2.02009
$482$	−24.1526	+	17.4118i	−1.10012	+	0.793084i
$483$	0.885550	−	0.885550i	0.0402939	−	0.0402939i
$484$	−6.94076	+	20.8357i	−0.315489	+	0.947076i
$485$	16.2095	−	35.1184i	0.736033	−	1.59465i
$486$	0.812311	−	5.00874i	0.0368472	−	0.227201i
$487$	−6.10489	+	6.10489i	−0.276639	+	0.276639i	−0.831766	−	0.555127i	$-0.812670\pi$
$487$	−6.10489	+	6.10489i	−0.276639	+	0.276639i	0.555127	+	0.831766i	$0.312670\pi$
$488$	25.3434	−	7.92473i	1.14724	−	0.358736i
$489$		−	1.96051i		−	0.0886574i
$490$	−13.6889	+	20.3035i	−0.618401	+	0.917218i
$491$	10.5040			0.474037			0.237019	−	0.971505i	$-0.423830\pi$
$491$	10.5040			0.474037			0.237019	+	0.971505i	$0.423830\pi$
$492$	−0.434518	−	0.868618i	−0.0195896	−	0.0391603i
$493$	−20.8244	−	20.8244i	−0.937884	−	0.937884i
$494$	−0.869405	+	5.36079i	−0.0391164	+	0.241193i
$495$	0.870128	−	0.320551i	0.0391093	−	0.0144077i
$496$	−19.6258	+	26.1888i	−0.881227	+	1.17591i
$497$	41.1199	+	41.1199i	1.84448	+	1.84448i
$498$	−0.915220	−	1.26954i	−0.0410120	−	0.0568895i
$499$		−	30.0464i		−	1.34506i	−0.740069	−	0.672531i	$-0.765207\pi$
$499$		−	30.0464i		−	1.34506i	0.740069	−	0.672531i	$-0.234793\pi$
$500$	−16.5526	+	15.0337i	−0.740255	+	0.672326i
$501$		−	1.18822i		−	0.0530856i
$502$	9.44188	−	6.80670i	0.421412	−	0.303798i
$503$	4.21237	+	4.21237i	0.187820	+	0.187820i	0.794753	−	0.606933i	$-0.207600\pi$
$503$	4.21237	+	4.21237i	0.187820	+	0.187820i	−0.606933	+	0.794753i	$0.707600\pi$
$504$	−15.0224	+	28.6914i	−0.669150	+	1.27802i
$505$	−11.0985	+	4.08865i	−0.493878	+	0.181943i
$506$	0.472676	+	0.0766579i	0.0210130	+	0.00340786i
$507$	0.165471	+	0.165471i	0.00734884	+	0.00734884i
$508$	5.37962	+	10.7541i	0.238682	+	0.477134i
$509$	−2.51210			−0.111347			−0.0556735	−	0.998449i	$-0.517731\pi$
$509$	−2.51210			−0.111347			−0.0556735	+	0.998449i	$0.517731\pi$
$510$	1.04862	+	0.706991i	0.0464335	+	0.0313061i
$511$			2.94410i			0.130239i
$512$	−17.8531	−	13.9020i	−0.789003	−	0.614389i
$513$	0.566624	−	0.566624i	0.0250170	−	0.0250170i
$514$	−8.10448	−	1.31437i	−0.357473	−	0.0579745i
$515$	−6.31901	+	13.6904i	−0.278449	+	0.603271i
$516$	−0.103280	−	0.0344045i	−0.00454664	−	0.00151457i
$517$	0.616417	−	0.616417i	0.0271100	−	0.0271100i
$518$	−36.6358	−	50.8191i	−1.60968	−	2.23286i
$519$	−0.804757			−0.0353249
$520$	−24.0844	−	3.13327i	−1.05617	−	0.137403i
$521$	3.03927			0.133153			0.0665764	−	0.997781i	$-0.478792\pi$
$521$	3.03927			0.133153			0.0665764	+	0.997781i	$0.478792\pi$
$522$	−24.3273	−	33.7454i	−1.06478	−	1.47700i
$523$	−12.9219	+	12.9219i	−0.565035	+	0.565035i	−0.930734	−	0.365698i	$-0.880830\pi$
$523$	−12.9219	+	12.9219i	−0.565035	+	0.565035i	0.365698	+	0.930734i	$0.380830\pi$
$524$	9.13419	−	27.4202i	0.399029	−	1.19786i
$525$	1.66842	+	1.95712i	0.0728157	+	0.0854156i
$526$	10.5813	+	1.71606i	0.461368	+	0.0748240i
$527$	−17.2723	+	17.2723i	−0.752391	+	0.752391i
$528$	0.0737608	−	0.0105663i	0.00321003	−	0.000459838i
$529$		−	17.0716i		−	0.742244i
$530$	−6.60901	−	33.9636i	−0.287077	−	1.47528i
$531$	19.4167			0.842615
$532$	−6.86805	+	3.43568i	−0.297768	+	0.148956i
$533$	9.84402	+	9.84402i	0.426392	+	0.426392i
$534$	−0.0707175	−	0.0114689i	−0.00306025	−	0.000496307i
$535$	3.77474	−	8.17813i	0.163196	−	0.353571i
$536$	−14.8024	+	28.2713i	−0.639366	+	1.22113i
$537$	0.0560987	+	0.0560987i	0.00242084	+	0.00242084i
$538$	27.2059	−	19.6129i	1.17293	−	0.845573i
$539$			1.07685i			0.0463831i
$540$	2.61235	+	2.45319i	0.112418	+	0.105568i
$541$		−	16.5828i		−	0.712951i	−0.934305	−	0.356475i	$-0.883978\pi$
$541$		−	16.5828i		−	0.712951i	0.934305	−	0.356475i	$-0.116022\pi$
$542$	20.5077	+	28.4472i	0.880882	+	1.22191i
$543$	−0.395760	−	0.395760i	−0.0169837	−	0.0169837i
$544$	−11.7193	−	12.1610i	−0.502459	−	0.521399i
$545$	9.96134	+	27.0398i	0.426697	+	1.15826i
$546$	−0.447179	+	2.75732i	−0.0191375	+	0.118003i
$547$	−19.8746	−	19.8746i	−0.849775	−	0.849775i	0.140330	−	0.990105i	$-0.455184\pi$
$547$	−19.8746	−	19.8746i	−0.849775	−	0.849775i	−0.990105	+	0.140330i	$0.955184\pi$
$548$	−15.7731	+	7.89034i	−0.673792	+	0.337058i
$549$	27.9958			1.19483
$550$	−0.233972	+	0.955096i	−0.00997659	+	0.0407254i
$551$		−	9.86425i		−	0.420231i
$552$	0.275318	+	0.880473i	0.0117183	+	0.0374754i
$553$	20.8930	−	20.8930i	0.888461	−	0.888461i
$554$	6.17119	−	38.0518i	0.262189	−	1.61667i
$555$	−3.24266	+	1.19458i	−0.137643	+	0.0507072i
$556$	−11.4370	−	3.80988i	−0.485037	−	0.161575i
$557$	−5.04095	+	5.04095i	−0.213592	+	0.213592i	−0.805791	−	0.592200i	$-0.798260\pi$
$557$	−5.04095	+	5.04095i	−0.213592	+	0.213592i	0.592200	+	0.805791i	$0.298260\pi$
$558$	−27.9893	+	20.1776i	−1.18488	+	0.854187i
$559$	1.56037			0.0659966
$560$	−16.3219	−	30.2172i	−0.689724	−	1.27691i
$561$	0.0556160			0.00234811
$562$	19.2860	−	13.9034i	0.813532	−	0.586480i
$563$	7.57105	−	7.57105i	0.319082	−	0.319082i	−0.529333	−	0.848414i	$-0.677558\pi$
$563$	7.57105	−	7.57105i	0.319082	−	0.319082i	0.848414	+	0.529333i	$0.177558\pi$
$564$	1.59335	+	0.530775i	0.0670921	+	0.0223497i
$565$	7.78898	+	3.59513i	0.327685	+	0.151248i
$566$	−0.306569	+	1.89031i	−0.0128860	+	0.0794558i
$567$	−23.9983	+	23.9983i	−1.00783	+	1.00783i
$568$	−40.8841	+	12.7842i	−1.71546	+	0.536414i
$569$			19.1318i			0.802045i	0.916068	+	0.401023i	$0.131345\pi$
$569$			19.1318i			0.802045i	−0.916068	+	0.401023i	$0.868655\pi$
$570$	0.0809117	+	0.415804i	0.00338902	+	0.0174161i
$571$	−6.88845			−0.288273			−0.144136	−	0.989558i	$-0.546040\pi$
$571$	−6.88845			−0.288273			−0.144136	+	0.989558i	$0.546040\pi$
$572$	−0.955215	+	0.477838i	−0.0399396	+	0.0199794i
$573$	−2.35872	−	2.35872i	−0.0985369	−	0.0985369i
$574$	−3.15143	+	19.4318i	−0.131538	+	0.811069i
$575$	−12.1357	−	0.966365i	−0.506095	−	0.0403002i
$576$	−13.5907	−	19.6067i	−0.566278	−	0.816947i
$577$	0.206984	+	0.206984i	0.00861685	+	0.00861685i	0.711402	−	0.702785i	$-0.248061\pi$
$577$	0.206984	+	0.206984i	0.00861685	+	0.00861685i	−0.702785	+	0.711402i	$0.748061\pi$
$578$	6.68769	+	9.27678i	0.278171	+	0.385863i
$579$		−	0.627841i		−	0.0260922i
$580$	44.0925	−	1.38542i	1.83084	−	0.0575263i
$581$			31.7214i			1.31603i
$582$	2.65817	−	1.91629i	0.110185	−	0.0794328i
$583$	−1.07594	−	1.07594i	−0.0445607	−	0.0445607i
$584$	−1.92127	−	1.00595i	−0.0795027	−	0.0416264i
$585$	−23.2495	−	10.7312i	−0.961249	−	0.443679i
$586$	11.9821	+	1.94325i	0.494978	+	0.0802749i
$587$	−13.5659	−	13.5659i	−0.559926	−	0.559926i	0.369360	−	0.929286i	$-0.379577\pi$
$587$	−13.5659	−	13.5659i	−0.559926	−	0.559926i	−0.929286	+	0.369360i	$0.879577\pi$
$588$	−1.85537	+	0.928130i	−0.0765140	+	0.0382754i
$589$	−8.18164			−0.337119
$590$	−11.5104	+	17.0724i	−0.473877	+	0.702859i
$591$		−	1.92183i		−	0.0790535i
$592$	45.6815	−	6.54391i	1.87750	−	0.268953i
$593$	1.52131	−	1.52131i	0.0624725	−	0.0624725i	−0.675180	−	0.737653i	$-0.735934\pi$
$593$	1.52131	−	1.52131i	0.0624725	−	0.0624725i	0.737653	+	0.675180i	$0.235934\pi$
$594$	0.155562	+	0.0252289i	0.00638280	+	0.00103515i
$595$	−8.86112	−	24.0533i	−0.363270	−	0.986087i
$596$	−4.77216	+	14.3257i	−0.195475	+	0.586804i
$597$	−1.92117	+	1.92117i	−0.0786283	+	0.0786283i
$598$	−7.73274	−	10.7264i	−0.316215	−	0.438636i
$599$	7.56585			0.309132			0.154566	−	0.987982i	$-0.450602\pi$
$599$	7.56585			0.309132			0.154566	+	0.987982i	$0.450602\pi$
$600$	−1.84725	+	0.420069i	−0.0754137	+	0.0171492i
$601$	39.2809			1.60230			0.801152	−	0.598462i	$-0.204221\pi$
$601$	39.2809			1.60230			0.801152	+	0.598462i	$0.204221\pi$
$602$	1.29030	+	1.78983i	0.0525887	+	0.0729481i
$603$	−23.7908	+	23.7908i	−0.968838	+	0.968838i
$604$	−32.7266	−	10.9019i	−1.33163	−	0.443590i
$605$	−8.48776	−	23.0398i	−0.345077	−	0.936701i
$606$	−0.989127	−	0.160415i	−0.0401805	−	0.00651643i
$607$	20.2808	−	20.2808i	0.823172	−	0.823172i	−0.163389	−	0.986562i	$-0.552243\pi$
$607$	20.2808	−	20.2808i	0.823172	−	0.823172i	0.986562	+	0.163389i	$0.0522427\pi$
$608$	0.104624	−	5.65589i	0.00424306	−	0.229376i
$609$		−	5.07368i		−	0.205596i
$610$	−16.5962	+	24.6156i	−0.671959	+	0.996657i
$611$	−24.0726			−0.973875
$612$	−7.96621	−	15.9247i	−0.322015	−	0.643719i
$613$	13.2911	+	13.2911i	0.536823	+	0.536823i	0.922594	−	0.385772i	$-0.126065\pi$
$613$	13.2911	+	13.2911i	0.536823	+	0.536823i	−0.385772	+	0.922594i	$0.626065\pi$
$614$	−10.8773	−	1.76407i	−0.438973	−	0.0711920i
$615$	0.985922	+	0.455068i	0.0397562	+	0.0183501i
$616$	−1.33799	−	0.700552i	−0.0539093	−	0.0282260i
$617$	−3.49443	−	3.49443i	−0.140680	−	0.140680i	0.633259	−	0.773940i	$-0.281717\pi$
$617$	−3.49443	−	3.49443i	−0.140680	−	0.140680i	−0.773940	+	0.633259i	$0.781717\pi$
$618$	−1.03625	+	0.747037i	−0.0416840	+	0.0300502i
$619$			18.4081i			0.739884i	0.929055	+	0.369942i	$0.120622\pi$
$619$			18.4081i			0.739884i	−0.929055	+	0.369942i	$0.879378\pi$
$620$	−1.14910	−	36.5714i	−0.0461489	−	1.46874i
$621$			1.95110i			0.0782948i
$622$	−6.77616	−	9.39951i	−0.271699	−	0.376886i
$623$	1.02678	+	1.02678i	0.0411369	+	0.0411369i
$624$	−1.64659	−	1.23395i	−0.0659164	−	0.0493976i
$625$	3.95640	−	24.6850i	0.158256	−	0.987398i
$626$	2.14480	−	13.2249i	0.0857235	−	0.528575i
$627$	0.0131723	+	0.0131723i	0.000526051	+	0.000526051i
$628$	−0.871307	−	1.74177i	−0.0347689	−	0.0695043i
$629$	34.4441			1.37338
$630$	−6.91621	−	35.5423i	−0.275548	−	1.41604i
$631$			15.3198i			0.609873i	0.952373	+	0.304937i	$0.0986353\pi$
$631$			15.3198i			0.609873i	−0.952373	+	0.304937i	$0.901365\pi$
$632$	6.49565	+	20.7732i	0.258383	+	0.826313i
$633$	−1.96972	+	1.96972i	−0.0782894	+	0.0782894i
$634$	4.15545	−	25.6227i	0.165034	−	1.01761i
$635$	−12.2064	−	5.63403i	−0.484394	−	0.223580i
$636$	0.926450	−	2.78114i	0.0367361	−	0.110279i
$637$	21.0268	−	21.0268i	0.833112	−	0.833112i
$638$	1.57368	−	1.13448i	0.0623026	−	0.0449143i
$639$	−45.1630			−1.78662
$640$	25.2961	−	0.326698i	0.999917	−	0.0129139i
$641$	28.7163			1.13422			0.567112	−	0.823641i	$-0.308061\pi$
$641$	28.7163			1.13422			0.567112	+	0.823641i	$0.308061\pi$
$642$	0.619016	−	0.446252i	0.0244306	−	0.0176122i
$643$	−23.6028	+	23.6028i	−0.930803	+	0.930803i	−0.997756	−	0.0669533i	$-0.978672\pi$
$643$	−23.6028	+	23.6028i	−0.930803	+	0.930803i	0.0669533	+	0.997756i	$0.478672\pi$
$644$	5.90946	−	17.7398i	0.232865	−	0.699045i
$645$	0.114205	−	0.0420727i	0.00449683	−	0.00165661i
$646$	0.675919	−	4.16774i	0.0265937	−	0.163978i
$647$	15.1579	−	15.1579i	0.595918	−	0.595918i	−0.343306	−	0.939224i	$-0.611547\pi$
$647$	15.1579	−	15.1579i	0.595918	−	0.595918i	0.939224	+	0.343306i	$0.111547\pi$
$648$	−7.46108	−	23.8607i	−0.293099	−	0.937335i
$649$			0.905478i			0.0355431i
$650$	23.2180	−	14.0808i	0.910686	−	0.552296i
$651$	−4.20824			−0.164934
$652$	−13.0955	−	26.1784i	−0.512860	−	1.02523i
$653$	15.5901	+	15.5901i	0.610088	+	0.610088i	0.942969	−	0.332881i	$-0.108021\pi$
$653$	15.5901	+	15.5901i	0.610088	+	0.610088i	−0.332881	+	0.942969i	$0.608021\pi$
$654$	−0.390826	+	2.40985i	−0.0152825	+	0.0942325i
$655$	11.1701	+	30.3209i	0.436451	+	1.18473i
$656$	−11.6041	−	8.69609i	−0.453064	−	0.339525i
$657$	−1.61679	−	1.61679i	−0.0630769	−	0.0630769i
$658$	−19.9061	−	27.6127i	−0.776022	−	1.07645i
$659$		−	9.85374i		−	0.383847i	−0.981410	−	0.191924i	$-0.938527\pi$
$659$		−	9.85374i		−	0.383847i	0.981410	−	0.191924i	$-0.0614726\pi$
$660$	−0.0570292	+	0.0607293i	−0.00221986	+	0.00236388i
$661$			10.6152i			0.412885i	0.978459	+	0.206442i	$0.0661886\pi$
$661$			10.6152i			0.412885i	−0.978459	+	0.206442i	$0.933811\pi$
$662$	14.2336	−	10.2611i	0.553203	−	0.398807i
$663$	−1.08597	−	1.08597i	−0.0421757	−	0.0421757i
$664$	−20.7009	−	10.8387i	−0.803350	−	0.420621i
$665$	3.59816	−	7.79556i	0.139531	−	0.302299i
$666$	48.0269	+	7.78895i	1.86101	+	0.301815i
$667$	16.9831	+	16.9831i	0.657589	+	0.657589i
$668$	−7.93686	−	15.8661i	−0.307086	−	0.613877i
$669$	−2.38967			−0.0923899
$670$	−6.81493	−	35.0218i	−0.263284	−	1.35301i
$671$			1.30555i			0.0504003i
$672$	0.0538134	−	2.90911i	0.00207590	−	0.112221i
$673$	−1.01105	+	1.01105i	−0.0389732	+	0.0389732i	−0.726325	−	0.687352i	$-0.758773\pi$
$673$	−1.01105	+	1.01105i	−0.0389732	+	0.0389732i	0.687352	+	0.726325i	$0.258773\pi$
$674$	1.49164	+	0.241912i	0.0574558	+	0.00931811i
$675$	−3.99399	−	0.318040i	−0.153729	−	0.0122414i
$676$	3.31480	+	1.10422i	0.127492	+	0.0424701i
$677$	−24.3784	+	24.3784i	−0.936939	+	0.936939i	−0.998126	−	0.0611872i	$-0.980511\pi$
$677$	−24.3784	+	24.3784i	−0.936939	+	0.936939i	0.0611872	+	0.998126i	$0.480511\pi$
$678$	0.425018	+	0.589561i	0.0163227	+	0.0226419i
$679$	−66.4184			−2.54890
$680$	18.7244	+	2.43596i	0.718050	+	0.0934147i
$681$	−1.15311			−0.0441873
$682$	−0.940961	−	1.30525i	−0.0360313	−	0.0499805i
$683$	15.4089	−	15.4089i	0.589606	−	0.589606i	−0.347919	−	0.937525i	$-0.613112\pi$
$683$	15.4089	−	15.4089i	0.589606	−	0.589606i	0.937525	+	0.347919i	$0.113112\pi$
$684$	1.88493	−	5.65842i	0.0720720	−	0.216355i
$685$	8.26349	−	17.9032i	0.315732	−	0.684045i
$686$	3.98525	+	0.646323i	0.152158	+	0.0246767i
$687$	2.27413	−	2.27413i	0.0867634	−	0.0867634i
$688$	−1.60889	+	0.230474i	−0.0613383	+	0.00878675i
$689$			42.0180i			1.60076i
$690$	−0.855188	−	0.576579i	−0.0325565	−	0.0219500i
$691$	−36.6869			−1.39564			−0.697818	−	0.716275i	$-0.745846\pi$
$691$	−36.6869			−1.39564			−0.697818	+	0.716275i	$0.745846\pi$
$692$	−10.7458	+	5.37549i	−0.408494	+	0.204345i
$693$	−1.12595	−	1.12595i	−0.0427712	−	0.0427712i
$694$	0.119446	+	0.0193717i	0.00453412	+	0.000735338i
$695$	12.6469	−	4.65905i	0.479723	−	0.176728i
$696$	3.31100	+	1.73359i	0.125503	+	0.0657115i
$697$	−7.65323	−	7.65323i	−0.289887	−	0.289887i
$698$	2.20689	−	1.59096i	0.0835322	−	0.0602188i
$699$			0.549976i			0.0208020i
$700$	35.3510	+	14.9887i	1.33614	+	0.566518i
$701$			29.4382i			1.11187i	0.831227	+	0.555933i	$0.187639\pi$
$701$			29.4382i			1.11187i	−0.831227	+	0.555933i	$0.812361\pi$
$702$	−2.54492	−	3.53017i	−0.0960519	−	0.133238i
$703$	8.15787	+	8.15787i	0.307680	+	0.307680i
$704$	0.914337	−	0.633786i	0.0344604	−	0.0238867i
$705$	−1.76190	+	0.649078i	−0.0663572	+	0.0244457i
$706$	6.79547	−	41.9011i	0.255751	−	1.57697i
$707$	14.3615	+	14.3615i	0.540121	+	0.540121i
$708$	−1.56010	+	0.780427i	−0.0586322	+	0.0293303i
$709$	38.5337			1.44716			0.723582	−	0.690238i	$-0.242494\pi$
$709$	38.5337			1.44716			0.723582	+	0.690238i	$0.242494\pi$
$710$	26.7730	−	39.7100i	1.00477	−	1.49029i
$711$			22.9473i			0.860590i
$712$	−1.02089	+	0.319226i	−0.0382594	+	0.0119635i
$713$	14.0862	−	14.0862i	0.527533	−	0.527533i
$714$	0.347660	−	2.14368i	0.0130108	−	0.0802253i
$715$	0.500436	−	1.08421i	0.0187152	−	0.0405473i
$716$	1.12380	+	0.374358i	0.0419983	+	0.0139904i
$717$	−0.984775	+	0.984775i	−0.0367771	+	0.0367771i
$718$	37.8377	−	27.2774i	1.41209	−	1.01798i
$719$	36.2272			1.35105			0.675523	−	0.737339i	$-0.263918\pi$
$719$	36.2272			1.35105			0.675523	+	0.737339i	$0.263918\pi$
$720$	25.5575	+	7.63078i	0.952470	+	0.284382i
$721$	25.8922			0.964276
$722$	1.14719	−	0.827016i	0.0426940	−	0.0307783i
$723$	1.99422	−	1.99422i	0.0741659	−	0.0741659i
$724$	−7.92805	−	2.64098i	−0.294644	−	0.0981514i
$725$	−37.5337	+	31.9970i	−1.39397	+	1.18834i
$726$	0.333011	−	2.05336i	0.0123592	−	0.0762074i
$727$	24.3486	−	24.3486i	0.903038	−	0.903038i	−0.0926600	−	0.995698i	$-0.529537\pi$
$727$	24.3486	−	24.3486i	0.903038	−	0.903038i	0.995698	+	0.0926600i	$0.0295370\pi$
$728$	12.4468	+	39.8051i	0.461310	+	1.47528i
$729$		−	26.0358i		−	0.964291i
$730$	2.38003	−	0.463131i	0.0880887	−	0.0171413i
$731$	−1.21311			−0.0448685
$732$	−2.24941	+	1.12525i	−0.0831407	+	0.0415904i
$733$	7.12832	+	7.12832i	0.263290	+	0.263290i	0.826389	−	0.563099i	$-0.190391\pi$
$733$	7.12832	+	7.12832i	0.263290	+	0.263290i	−0.563099	+	0.826389i	$0.690391\pi$
$734$	−4.71442	+	29.0693i	−0.174012	+	1.07297i
$735$	0.972023	−	2.10593i	0.0358536	−	0.0776783i
$736$	9.55753	+	9.91779i	0.352295	+	0.365574i
$737$	−1.10946	−	1.10946i	−0.0408674	−	0.0408674i
$738$	−8.94059	−	12.4019i	−0.329107	−	0.456519i
$739$			9.36082i			0.344343i	0.985067	+	0.172172i	$0.0550784\pi$
$739$			9.36082i			0.344343i	−0.985067	+	0.172172i	$0.944922\pi$
$740$	−35.3193	+	37.6109i	−1.29836	+	1.38260i
$741$		−	0.514411i		−	0.0188974i
$742$	−48.1970	+	34.7455i	−1.76937	+	1.27555i
$743$	0.743043	+	0.743043i	0.0272596	+	0.0272596i	0.720605	−	0.693346i	$-0.243864\pi$
$743$	0.743043	+	0.743043i	0.0272596	+	0.0272596i	−0.693346	+	0.720605i	$0.743864\pi$
$744$	1.43788	−	2.74623i	0.0527153	−	0.100682i
$745$	−5.83582	−	15.8412i	−0.213808	−	0.580375i
$746$	−11.6046	−	1.88201i	−0.424873	−	0.0689053i
$747$	−17.4202	−	17.4202i	−0.637372	−	0.637372i
$748$	0.742632	−	0.371495i	0.0271533	−	0.0135832i
$749$	−15.4670			−0.565153
$750$	1.31969	−	1.65663i	0.0481882	−	0.0604915i
$751$			6.76187i			0.246744i	0.992360	+	0.123372i	$0.0393709\pi$
$751$			6.76187i			0.246744i	−0.992360	+	0.123372i	$0.960629\pi$
$752$	24.8211	−	3.55565i	0.905134	−	0.129661i
$753$	−0.779592	+	0.779592i	−0.0284099	+	0.0284099i
$754$	−52.8801	−	8.57603i	−1.92578	−	0.312321i
$755$	36.1886	−	13.3317i	1.31704	−	0.485191i
$756$	1.94486	−	5.83834i	0.0707339	−	0.212338i
$757$	−14.8201	+	14.8201i	−0.538647	+	0.538647i	−0.923132	−	0.384484i	$-0.874379\pi$
$757$	−14.8201	+	14.8201i	−0.538647	+	0.538647i	0.384484	+	0.923132i	$0.374379\pi$
$758$	−10.9269	−	15.1572i	−0.396883	−	0.550534i
$759$	−0.0453571			−0.00164636
$760$	3.85782	+	5.01171i	0.139938	+	0.181794i
$761$	−0.268383			−0.00972888			−0.00486444	−	0.999988i	$-0.501548\pi$
$761$	−0.268383			−0.00972888			−0.00486444	+	0.999988i	$0.501548\pi$
$762$	−0.666058	−	0.923918i	−0.0241287	−	0.0334700i
$763$	34.9895	−	34.9895i	1.26671	−	1.26671i
$764$	−47.2510	−	15.7402i	−1.70948	−	0.569461i
$765$	18.0753	+	8.34295i	0.653515	+	0.301640i
$766$	−30.6993	−	4.97877i	−1.10921	−	0.179890i
$767$	17.6806	−	17.6806i	0.638409	−	0.638409i
$768$	1.88005	+	1.02911i	0.0678405	+	0.0371348i
$769$		−	1.50581i		−	0.0543008i	−0.999631	−	0.0271504i	$-0.991357\pi$
$769$		−	1.50581i		−	0.0543008i	0.999631	−	0.0271504i	$-0.00864331\pi$
$770$	1.65747	−	0.322530i	0.0597312	−	0.0116232i
$771$	0.777691			0.0280078
$772$	−4.19375	−	8.38347i	−0.150936	−	0.301728i
$773$	−29.3909	−	29.3909i	−1.05712	−	1.05712i	−0.998267	−	0.0588499i	$-0.981257\pi$
$773$	−29.3909	−	29.3909i	−1.05712	−	1.05712i	−0.0588499	−	0.998267i	$-0.518743\pi$
$774$	−1.69149	−	0.274324i	−0.0607994	−	0.00986037i
$775$	26.5391	+	31.1313i	0.953311	+	1.11827i
$776$	22.6940	−	43.3435i	0.814667	−	1.55594i
$777$	4.19601	+	4.19601i	0.150531	+	0.150531i
$778$	−9.95559	+	7.17704i	−0.356925	+	0.257309i
$779$		−	3.62524i		−	0.129888i
$780$	2.29938	−	0.0722481i	0.0823311	−	0.00258690i
$781$		−	2.10612i		−	0.0753630i
$782$	6.01182	+	8.33926i	0.214982	+	0.298211i
$783$	5.58932	+	5.58932i	0.199746	+	0.199746i
$784$	−18.5748	+	24.7864i	−0.663387	+	0.885227i
$785$	1.97700	+	0.912513i	0.0705620	+	0.0325690i
$786$	−0.438250	+	2.70227i	−0.0156319	+	0.0963867i
$787$	−31.4156	−	31.4156i	−1.11985	−	1.11985i	−0.991763	−	0.128083i	$-0.959118\pi$
$787$	−31.4156	−	31.4156i	−1.11985	−	1.11985i	−0.128083	−	0.991763i	$-0.540882\pi$
$788$	−12.8371	−	25.6619i	−0.457304	−	0.914167i
$789$	−1.01536			−0.0361479
$790$	−20.1767	−	13.6034i	−0.717853	−	0.483986i
$791$		−	14.7311i		−	0.523776i
$792$	1.11949	−	0.350058i	0.0397794	−	0.0124388i
$793$	25.4925	−	25.4925i	0.905266	−	0.905266i
$794$	−6.94550	+	42.8262i	−0.246487	+	1.51985i
$795$	1.13294	+	3.07534i	0.0401814	+	0.109071i
$796$	−12.8204	+	38.4858i	−0.454406	+	1.36409i
$797$	−20.5593	+	20.5593i	−0.728247	+	0.728247i	−0.970270	−	0.242024i	$-0.922189\pi$
$797$	−20.5593	+	20.5593i	−0.728247	+	0.728247i	0.242024	+	0.970270i	$0.422189\pi$
$798$	0.590058	−	0.425376i	0.0208878	−	0.0150582i
$799$	18.7153			0.662099
$800$	−21.8601	+	17.9481i	−0.772873	+	0.634561i
$801$	−1.12773			−0.0398465
$802$	−9.53219	+	6.87181i	−0.336593	+	0.242652i
$803$	0.0753970	−	0.0753970i	0.00266070	−	0.00266070i
$804$	0.955316	−	2.86779i	0.0336914	−	0.101139i
$805$	7.22660	+	19.6164i	0.254704	+	0.691387i
$806$	−7.11316	+	43.8600i	−0.250551	+	1.54490i
$807$	−2.24632	+	2.24632i	−0.0790744	+	0.0790744i
$808$	−14.2792	+	4.46501i	−0.502340	+	0.157079i
$809$		−	25.2220i		−	0.886758i	−0.896334	−	0.443379i	$-0.853780\pi$
$809$		−	25.2220i		−	0.886758i	0.896334	−	0.443379i	$-0.146220\pi$
$810$	23.1755	+	15.6252i	0.814302	+	0.549013i
$811$	26.3790			0.926292			0.463146	−	0.886282i	$-0.346720\pi$
$811$	26.3790			0.926292			0.463146	+	0.886282i	$0.346720\pi$
$812$	−33.8904	−	67.7481i	−1.18932	−	2.37749i
$813$	−2.34881	−	2.34881i	−0.0823763	−	0.0823763i
$814$	−0.363229	+	2.23968i	−0.0127312	+	0.0785008i
$815$	29.7137	+	13.7148i	1.04083	+	0.480410i
$816$	1.28014	+	0.959336i	0.0448139	+	0.0335835i
$817$	−0.287317	−	0.287317i	−0.0100520	−	0.0100520i
$818$	−5.53518	−	7.67809i	−0.193533	−	0.268458i
$819$			43.9711i			1.53647i
$820$	16.2046	−	0.509158i	0.565888	−	0.0177806i
$821$			18.6885i			0.652235i	0.945329	+	0.326117i	$0.105740\pi$
$821$			18.6885i			0.652235i	−0.945329	+	0.326117i	$0.894260\pi$
$822$	1.35512	−	0.976914i	0.0472652	−	0.0340738i
$823$	−27.3365	−	27.3365i	−0.952892	−	0.952892i	0.0460477	−	0.998939i	$-0.485337\pi$
$823$	−27.3365	−	27.3365i	−0.952892	−	0.952892i	−0.998939	+	0.0460477i	$0.985337\pi$
$824$	−8.84691	+	16.8968i	−0.308197	+	0.588629i
$825$	0.00739348	−	0.0928483i	0.000257408	−	0.00323256i
$826$	34.9010	+	5.66021i	1.21436	+	0.196944i
$827$	−24.2109	−	24.2109i	−0.841895	−	0.841895i	0.147211	−	0.989105i	$-0.452971\pi$
$827$	−24.2109	−	24.2109i	−0.841895	−	0.841895i	−0.989105	+	0.147211i	$0.952971\pi$
$828$	6.49676	+	12.9873i	0.225778	+	0.451339i
$829$	−32.4389			−1.12665			−0.563325	−	0.826235i	$-0.690478\pi$
$829$	−32.4389			−1.12665			−0.563325	+	0.826235i	$0.690478\pi$
$830$	25.6438	−	4.99004i	0.890108	−	0.173207i
$831$			3.65138i			0.126665i
$832$	−30.2290	−	5.47812i	−1.04800	−	0.189920i
$833$	−16.3473	+	16.3473i	−0.566400	+	0.566400i
$834$	1.12712	+	0.182795i	0.0390289	+	0.00632966i
$835$	18.0087	+	8.31222i	0.623218	+	0.287656i
$836$	0.263874	+	0.0879014i	0.00912627	+	0.00304013i
$837$	4.63591	−	4.63591i	0.160241	−	0.160241i
$838$	2.75983	+	3.82827i	0.0953366	+	0.132246i
$839$	−39.3858			−1.35975			−0.679875	−	0.733328i	$-0.737966\pi$
$839$	−39.3858			−1.35975			−0.679875	+	0.733328i	$0.737966\pi$
$840$	1.98428	+	2.57778i	0.0684640	+	0.0889417i
$841$	68.3034			2.35529
$842$	−12.1280	−	16.8232i	−0.417957	−	0.579766i
$843$	−1.59240	+	1.59240i	−0.0548451	+	0.0548451i
$844$	−13.1443	+	39.4584i	−0.452447	+	1.35821i
$845$	−3.66546	+	1.35034i	−0.126096	+	0.0464531i
$846$	26.0955	+	4.23214i	0.897183	+	0.145504i
$847$	−29.8136	+	29.8136i	−1.02441	+	1.02441i
$848$	−6.20626	−	43.3245i	−0.213124	−	1.48777i
$849$		−	0.181391i		−	0.00622532i
$850$	−18.0509	+	10.9472i	−0.619139	+	0.375484i
$851$	−28.0906			−0.962932
$852$	3.62877	−	1.81526i	0.124319	−	0.0621897i
$853$	13.5780	+	13.5780i	0.464902	+	0.464902i	0.900258	−	0.435356i	$-0.143378\pi$
$853$	13.5780	+	13.5780i	0.464902	+	0.464902i	−0.435356	+	0.900258i	$0.643378\pi$
$854$	50.3216	+	8.16110i	1.72197	+	0.279267i
$855$	2.30505	+	6.25700i	0.0788311	+	0.213985i
$856$	5.28482	−	10.0935i	0.180631	−	0.344990i
$857$	3.39224	+	3.39224i	0.115877	+	0.115877i	0.762667	−	0.646791i	$-0.223889\pi$
$857$	3.39224	+	3.39224i	0.115877	+	0.115877i	−0.646791	+	0.762667i	$0.723889\pi$
$858$	0.0820659	−	0.0591618i	0.00280168	−	0.00201975i
$859$			22.1181i			0.754659i	0.926079	+	0.377329i	$0.123158\pi$
$859$			22.1181i			0.754659i	−0.926079	+	0.377329i	$0.876842\pi$
$860$	1.24393	−	1.32464i	0.0424178	−	0.0451699i
$861$		−	1.86464i		−	0.0635469i
$862$	19.4625	+	26.9973i	0.662896	+	0.919533i
$863$	−3.90491	−	3.90491i	−0.132925	−	0.132925i	0.637514	−	0.770439i	$-0.279963\pi$
$863$	−3.90491	−	3.90491i	−0.132925	−	0.132925i	−0.770439	+	0.637514i	$0.779963\pi$
$864$	3.14548	+	3.26404i	0.107011	+	0.111045i
$865$	5.62971	−	12.1970i	0.191416	−	0.414710i
$866$	−6.42677	+	39.6277i	−0.218391	+	1.34661i
$867$	−0.765961	−	0.765961i	−0.0260134	−	0.0260134i
$868$	−56.1919	+	28.1095i	−1.90728	+	0.954099i
$869$	−1.07012			−0.0363014
$870$	−4.10159	+	0.798133i	−0.139057	+	0.0270593i
$871$			43.3271i			1.46808i
$872$	10.8783	+	34.7889i	0.368385	+	1.17810i
$873$	36.4745	−	36.4745i	1.23447	−	1.23447i
$874$	−0.551239	+	3.39896i	−0.0186459	+	0.114972i
$875$	−41.3337	+	11.5956i	−1.39734	+	0.392004i
$876$	0.194890	+	0.0649217i	0.00658474	+	0.00219350i
$877$	12.9760	−	12.9760i	0.438169	−	0.438169i	−0.453226	−	0.891395i	$-0.649727\pi$
$877$	12.9760	−	12.9760i	0.438169	−	0.438169i	0.891395	+	0.453226i	$0.149727\pi$
$878$	−31.2112	+	22.5003i	−1.05333	+	0.759350i
$879$	−1.14978			−0.0387813
$880$	−0.355853	+	1.19184i	−0.0119958	+	0.0401770i
$881$	−8.14197			−0.274310			−0.137155	−	0.990550i	$-0.543796\pi$
$881$	−8.14197			−0.274310			−0.137155	+	0.990550i	$0.543796\pi$
$882$	−26.4904	+	19.0971i	−0.891977	+	0.643032i
$883$	23.6555	−	23.6555i	0.796071	−	0.796071i	−0.186402	−	0.982474i	$-0.559683\pi$
$883$	23.6555	−	23.6555i	0.796071	−	0.796071i	0.982474	+	0.186402i	$0.0596827\pi$
$884$	−21.7547	−	7.24691i	−0.731691	−	0.243740i
$885$	0.817335	−	1.77079i	0.0274744	−	0.0595244i
$886$	4.19428	−	25.8621i	0.140909	−	0.868853i
$887$	8.60551	−	8.60551i	0.288945	−	0.288945i	−0.547718	−	0.836663i	$-0.684503\pi$
$887$	8.60551	−	8.60551i	0.288945	−	0.288945i	0.836663	+	0.547718i	$0.184503\pi$
$888$	−4.17195	+	1.30454i	−0.140001	+	0.0437776i
$889$			23.0855i			0.774263i
$890$	0.668530	−	0.991571i	0.0224092	−	0.0332375i
$891$	1.22917			0.0411787
$892$	−31.9089	+	15.9621i	−1.06839	+	0.534451i
$893$	4.43259	+	4.43259i	0.148331	+	0.148331i
$894$	0.228964	−	1.41180i	0.00765770	−	0.0472177i
$895$	−1.24268	+	0.457798i	−0.0415382	+	0.0153025i
$896$	−18.7133	−	39.2044i	−0.625166	−	1.30973i
$897$	0.885654	+	0.885654i	0.0295711	+	0.0295711i
$898$	24.8961	+	34.5344i	0.830792	+	1.15243i
$899$		−	80.7058i		−	2.69169i
$900$	−27.6446	+	11.1822i	−0.921487	+	0.372740i
$901$		−	32.6669i		−	1.08829i
$902$	0.578347	−	0.416934i	0.0192569	−	0.0138824i
$903$	−0.147782	−	0.147782i	−0.00491787	−	0.00491787i
$904$	9.61325	+	5.03335i	0.319732	+	0.167407i
$905$	8.76673	−	3.22962i	0.291416	−	0.107356i
$906$	3.22521	+	0.523061i	0.107151	+	0.0173775i
$907$	30.4470	+	30.4470i	1.01098	+	1.01098i	0.999939	+	0.0110383i	$0.00351366\pi$
$907$	30.4470	+	30.4470i	1.01098	+	1.01098i	0.0110383	+	0.999939i	$0.496486\pi$
$908$	−15.3973	+	7.70236i	−0.510977	+	0.255612i
$909$	−15.7736			−0.523178
$910$	−38.6620	−	26.0665i	−1.28163	−	0.864095i
$911$		−	12.7207i		−	0.421457i	−0.977545	−	0.210728i	$-0.932416\pi$
$911$		−	12.7207i		−	0.421457i	0.977545	−	0.210728i	$-0.0675835\pi$
$912$	0.0759810	+	0.530406i	0.00251598	+	0.0175635i
$913$	0.812371	−	0.812371i	0.0268856	−	0.0268856i
$914$	20.1787	+	3.27256i	0.667452	+	0.108247i
$915$	1.17846	−	2.55319i	0.0389588	−	0.0844059i
$916$	15.1757	−	45.5564i	0.501420	−	1.50523i
$917$	39.2353	−	39.2353i	1.29566	−	1.29566i
$918$	1.97855	+	2.74453i	0.0653019	+	0.0905831i
$919$	9.66758			0.318904			0.159452	−	0.987206i	$-0.449027\pi$
$919$	9.66758			0.318904			0.159452	+	0.987206i	$0.449027\pi$
$920$	−15.2705	−	1.98662i	−0.503455	−	0.0654970i
$921$	1.04377			0.0343933
$922$	11.7788	+	16.3389i	0.387915	+	0.538095i
$923$	−41.1247	+	41.1247i	−1.35364	+	1.35364i
$924$	0.135724	+	0.0452122i	0.00446498	+	0.00148737i
$925$	4.57893	−	57.5028i	0.150554	−	1.89068i
$926$	−44.1469	−	7.15969i	−1.45076	−	0.235282i
$927$	−14.2190	+	14.2190i	−0.467014	+	0.467014i
$928$	55.7911	+	1.03204i	1.83143	+	0.0338783i
$929$			36.7899i			1.20704i	0.797349	+	0.603518i	$0.206235\pi$
$929$			36.7899i			1.20704i	−0.797349	+	0.603518i	$0.793765\pi$
$930$	0.661991	+	3.40196i	0.0217075	+	0.111555i
$931$	−7.74350			−0.253783
$932$	3.67364	+	7.34375i	0.120334	+	0.240552i
$933$	0.776093	+	0.776093i	0.0254082	+	0.0254082i
$934$	59.1255	+	9.58890i	1.93465	+	0.313758i
$935$	−0.389064	+	0.842922i	−0.0127237	+	0.0275665i
$936$	−28.6948	−	15.0241i	−0.937919	−	0.491080i
$937$	16.0121	+	16.0121i	0.523093	+	0.523093i	0.918504	−	0.395411i	$-0.129398\pi$
$937$	16.0121	+	16.0121i	0.523093	+	0.523093i	−0.395411	+	0.918504i	$0.629398\pi$
$938$	−49.6986	+	35.8280i	−1.62272	+	1.16983i
$939$			1.26904i			0.0414135i
$940$	−19.1908	+	20.4359i	−0.625936	+	0.666546i
$941$			30.8355i			1.00521i	0.864516	+	0.502605i	$0.167625\pi$
$941$			30.8355i			1.00521i	−0.864516	+	0.502605i	$0.832375\pi$
$942$	0.107878	+	0.149642i	0.00351485	+	0.00487560i
$943$	6.24152	+	6.24152i	0.203252	+	0.203252i
$944$	−15.6188	+	20.8419i	−0.508350	+	0.678344i
$945$	2.37834	+	6.45595i	0.0773676	+	0.210012i
$946$	0.0127928	−	0.0788808i	0.000415929	−	0.00256464i
$947$	8.32858	+	8.32858i	0.270643	+	0.270643i	0.829359	−	0.558716i	$-0.188706\pi$
$947$	8.32858	+	8.32858i	0.270643	+	0.270643i	−0.558716	+	0.829359i	$0.688706\pi$
$948$	−0.922332	−	1.84377i	−0.0299559	−	0.0598830i
$949$	−2.94444			−0.0955807
$950$	−6.86799	−	1.68247i	−0.222827	−	0.0545864i
$951$			2.45870i			0.0797289i
$952$	−9.67678	−	30.9465i	−0.313626	−	1.00298i
$953$	−17.6905	+	17.6905i	−0.573052	+	0.573052i	−0.932980	−	0.359928i	$-0.882801\pi$
$953$	−17.6905	+	17.6905i	−0.573052	+	0.573052i	0.359928	+	0.932980i	$0.382801\pi$
$954$	7.38705	−	45.5488i	0.239165	−	1.47470i
$955$	52.2495	−	19.2485i	1.69075	−	0.622867i
$956$	−6.57160	+	19.7275i	−0.212541	+	0.638033i
$957$	−0.129935	+	0.129935i	−0.00420019	+	0.00420019i
$958$	11.9480	−	8.61340i	0.386023	−	0.278286i
$959$	−33.8597			−1.09339
$960$	−2.36021	+	0.414124i	−0.0761753	+	0.0133658i
$961$	−35.9393			−1.15933
$962$	50.8251	−	36.6401i	1.63867	−	1.18132i
$963$	8.49391	−	8.49391i	0.273712	−	0.273712i
$964$	13.3078	−	39.9492i	0.428617	−	1.28668i
$965$	9.51563	+	4.39209i	0.306319	+	0.141386i
$966$	−0.283530	+	1.74826i	−0.00912244	+	0.0562493i
$967$	41.0594	−	41.0594i	1.32038	−	1.32038i	0.406918	−	0.913465i	$-0.366604\pi$
$967$	41.0594	−	41.0594i	1.32038	−	1.32038i	0.913465	−	0.406918i	$-0.133396\pi$
$968$	−9.26906	−	29.6426i	−0.297919	−	0.952749i
$969$			0.399929i			0.0128476i
$970$	10.4482	+	53.6930i	0.335471	+	1.72398i
$971$	11.6621			0.374254			0.187127	−	0.982336i	$-0.440082\pi$
$971$	11.6621			0.374254			0.187127	+	0.982336i	$0.440082\pi$
$972$	3.21043	+	6.41777i	0.102975	+	0.205850i
$973$	−16.3651	−	16.3651i	−0.524640	−	0.524640i
$974$	1.95463	−	12.0523i	0.0626303	−	0.386181i
$975$	−1.95735	+	1.66861i	−0.0626852	+	0.0534383i
$976$	−22.5198	+	30.0506i	−0.720842	+	0.961895i
$977$	0.527618	+	0.527618i	0.0168800	+	0.0168800i	0.715496	−	0.698616i	$-0.246201\pi$
$977$	0.527618	+	0.527618i	0.0168800	+	0.0168800i	−0.698616	+	0.715496i	$0.746201\pi$
$978$	1.62137	+	2.24908i	0.0518458	+	0.0719176i
$979$		−	0.0525905i		−	0.00168080i
$980$	−1.08756	−	34.6129i	−0.0347408	−	1.10567i
$981$			38.4299i			1.22697i
$982$	−12.0500	+	8.68695i	−0.384532	+	0.277212i
$983$	22.4402	+	22.4402i	0.715731	+	0.715731i	0.967728	−	0.251997i	$-0.0810873\pi$
$983$	22.4402	+	22.4402i	0.715731	+	0.715731i	−0.251997	+	0.967728i	$0.581087\pi$
$984$	1.21684	+	0.637116i	0.0387913	+	0.0203105i
$985$	29.1275	+	13.4442i	0.928078	+	0.428369i
$986$	41.1116	+	6.66743i	1.30926	+	0.212334i
$987$	2.27991	+	2.27991i	0.0725703	+	0.0725703i
$988$	−3.43608	−	6.86885i	−0.109316	−	0.218527i
$989$	0.989340			0.0314592
$990$	−0.733101	+	1.08734i	−0.0232995	+	0.0345580i
$991$			6.53662i			0.207643i	0.994596	+	0.103821i	$0.0331070\pi$
$991$			6.53662i			0.207643i	−0.994596	+	0.103821i	$0.966893\pi$
$992$	0.855996	−	46.2745i	0.0271779	−	1.46922i
$993$	−1.17523	+	1.17523i	−0.0372948	+	0.0372948i
$994$	−81.1791	−	13.1655i	−2.57484	−	0.417585i
$995$	−15.6779	−	42.5571i	−0.497022	−	1.34915i
$996$	2.09986	+	0.699504i	0.0665367	+	0.0221646i
$997$	−17.2907	+	17.2907i	−0.547603	+	0.547603i	−0.925747	−	0.378144i	$-0.876563\pi$
$997$	−17.2907	+	17.2907i	−0.547603	+	0.547603i	0.378144	+	0.925747i	$0.376563\pi$
$998$	24.8489	+	34.4689i	0.786577	+	1.09109i
$999$	−9.24488			−0.292495

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	760.2.w.c.267.11	✓	104
5.3	odd	4	inner	760.2.w.c.723.38	yes	104
8.3	odd	2	inner	760.2.w.c.267.38	yes	104
40.3	even	4	inner	760.2.w.c.723.11	yes	104

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
760.2.w.c.267.11	✓	104	1.1	even	1	trivial
760.2.w.c.267.38	yes	104	8.3	odd	2	inner
760.2.w.c.723.11	yes	104	40.3	even	4	inner
760.2.w.c.723.38	yes	104	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:	\( N \)	\(=\)	\( 760 = 2^{3} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	760.w (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.14719 + 0.827016i) q^{2} +(0.0947206 - 0.0947206i) q^{3} +(0.632090 - 1.89749i) q^{4} +(0.772974 + 2.09822i) q^{5} +(-0.0303271 + 0.186998i) q^{6} +(2.71510 - 2.71510i) q^{7} +(0.844126 + 2.69953i) q^{8} +2.98206i q^{9} +O(q^{10})\)	\(q+(-1.14719 + 0.827016i) q^{2} +(0.0947206 - 0.0947206i) q^{3} +(0.632090 - 1.89749i) q^{4} +(0.772974 + 2.09822i) q^{5} +(-0.0303271 + 0.186998i) q^{6} +(2.71510 - 2.71510i) q^{7} +(0.844126 + 2.69953i) q^{8} +2.98206i q^{9} +(-2.62201 - 1.76779i) q^{10} -0.139065 q^{11} +(-0.119859 - 0.239603i) q^{12} +(2.71541 + 2.71541i) q^{13} +(-0.869304 + 5.36016i) q^{14} +(0.271961 + 0.125528i) q^{15} +(-3.20093 - 2.39877i) q^{16} +(-2.11110 - 2.11110i) q^{17} +(-2.46621 - 3.42098i) q^{18} -1.00000i q^{19} +(4.46993 - 0.140448i) q^{20} -0.514351i q^{21} +(0.159534 - 0.115009i) q^{22} +(1.72169 + 1.72169i) q^{23} +(0.335657 + 0.175745i) q^{24} +(-3.80502 + 3.24373i) q^{25} +(-5.36079 - 0.869405i) q^{26} +(0.566624 + 0.566624i) q^{27} +(-3.43568 - 6.86805i) q^{28} +9.86425 q^{29} +(-0.415804 + 0.0809117i) q^{30} -8.18164i q^{31} +(5.65589 + 0.104624i) q^{32} +(-0.0131723 + 0.0131723i) q^{33} +(4.16774 + 0.675919i) q^{34} +(7.79556 + 3.59816i) q^{35} +(5.65842 + 1.88493i) q^{36} +(-8.15787 + 8.15787i) q^{37} +(0.827016 + 1.14719i) q^{38} +0.514411 q^{39} +(-5.01171 + 3.85782i) q^{40} +3.62524 q^{41} +(0.425376 + 0.590058i) q^{42} +(0.287317 - 0.287317i) q^{43} +(-0.0879014 + 0.263874i) q^{44} +(-6.25700 + 2.30505i) q^{45} +(-3.39896 - 0.551239i) q^{46} +(-4.43259 + 4.43259i) q^{47} +(-0.530406 + 0.0759810i) q^{48} -7.74350i q^{49} +(1.68247 - 6.86799i) q^{50} -0.399929 q^{51} +(6.86885 - 3.43608i) q^{52} +(7.73694 + 7.73694i) q^{53} +(-1.11863 - 0.181418i) q^{54} +(-0.107493 - 0.291788i) q^{55} +(9.62136 + 5.03759i) q^{56} +(-0.0947206 - 0.0947206i) q^{57} +(-11.3162 + 8.15789i) q^{58} -6.51120i q^{59} +(0.410091 - 0.436698i) q^{60} -9.38809i q^{61} +(6.76635 + 9.38590i) q^{62} +(8.09657 + 8.09657i) q^{63} +(-6.57490 + 4.55748i) q^{64} +(-3.59858 + 7.79647i) q^{65} +(0.00421743 - 0.0260048i) q^{66} +(7.97800 + 7.97800i) q^{67} +(-5.34019 + 2.67138i) q^{68} +0.326158 q^{69} +(-11.9187 + 2.31928i) q^{70} +15.1449i q^{71} +(-8.05014 + 2.51723i) q^{72} +(-0.542172 + 0.542172i) q^{73} +(2.61194 - 16.1053i) q^{74} +(-0.0531657 + 0.667662i) q^{75} +(-1.89749 - 0.632090i) q^{76} +(-0.377574 + 0.377574i) q^{77} +(-0.590127 + 0.425426i) q^{78} +7.69512 q^{79} +(2.55890 - 8.57042i) q^{80} -8.83883 q^{81} +(-4.15883 + 2.99813i) q^{82} +(-5.84167 + 5.84167i) q^{83} +(-0.975975 - 0.325116i) q^{84} +(2.79772 - 6.06136i) q^{85} +(-0.0919916 + 0.567223i) q^{86} +(0.934347 - 0.934347i) q^{87} +(-0.117388 - 0.375409i) q^{88} +0.378173i q^{89} +(5.27165 - 7.81897i) q^{90} +14.7452 q^{91} +(4.35514 - 2.17862i) q^{92} +(-0.774970 - 0.774970i) q^{93} +(1.41920 - 8.75085i) q^{94} +(2.09822 - 0.772974i) q^{95} +(0.545639 - 0.525819i) q^{96} +(-12.2313 - 12.2313i) q^{97} +(6.40399 + 8.88326i) q^{98} -0.414699i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 104 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) 104 * q - 8 * q^3 - 8 * q^6	\( 104 q - 8 q^{3} - 8 q^{6} + 4 q^{10} + 16 q^{11} - 18 q^{12} - 16 q^{16} + 20 q^{22} + 8 q^{25} - 24 q^{26} + 16 q^{27} + 16 q^{28} - 44 q^{30} + 50 q^{32} + 32 q^{33} - 36 q^{35} + 136 q^{36} + 4 q^{40} + 8 q^{41} + 20 q^{42} - 44 q^{43} - 56 q^{46} + 38 q^{48} + 24 q^{50} - 16 q^{51} - 94 q^{52} - 28 q^{56} + 8 q^{57} + 8 q^{58} - 2 q^{60} - 20 q^{62} + 44 q^{65} + 52 q^{66} - 40 q^{67} - 56 q^{68} - 32 q^{70} + 88 q^{72} - 48 q^{73} + 56 q^{75} + 8 q^{76} + 52 q^{78} - 80 q^{80} - 152 q^{81} - 100 q^{82} - 44 q^{83} - 104 q^{86} + 20 q^{88} + 72 q^{90} - 64 q^{91} - 64 q^{92} - 52 q^{96} + 20 q^{97} - 100 q^{98}+O(q^{100}) \) 104 * q - 8 * q^3 - 8 * q^6 + 4 * q^10 + 16 * q^11 - 18 * q^12 - 16 * q^16 + 20 * q^22 + 8 * q^25 - 24 * q^26 + 16 * q^27 + 16 * q^28 - 44 * q^30 + 50 * q^32 + 32 * q^33 - 36 * q^35 + 136 * q^36 + 4 * q^40 + 8 * q^41 + 20 * q^42 - 44 * q^43 - 56 * q^46 + 38 * q^48 + 24 * q^50 - 16 * q^51 - 94 * q^52 - 28 * q^56 + 8 * q^57 + 8 * q^58 - 2 * q^60 - 20 * q^62 + 44 * q^65 + 52 * q^66 - 40 * q^67 - 56 * q^68 - 32 * q^70 + 88 * q^72 - 48 * q^73 + 56 * q^75 + 8 * q^76 + 52 * q^78 - 80 * q^80 - 152 * q^81 - 100 * q^82 - 44 * q^83 - 104 * q^86 + 20 * q^88 + 72 * q^90 - 64 * q^91 - 64 * q^92 - 52 * q^96 + 20 * q^97 - 100 * q^98

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