LMFDB - Embedded newform 650.2.p.a.181.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [650,2,Mod(181,650)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(650, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([4, 5]))

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

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

chi := DirichletCharacter("650.181");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 650 = 2 \cdot 5^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	650.p (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.19027613138$
Analytic rank:	$0$
Dimension:	$136$
Relative dimension:	$34$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			181.17
Character	$\chi$	$=$	650.181
Dual form			650.2.p.a.571.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.951057 + 0.309017i) q^{2} +(2.45421 - 1.78309i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.943747 - 2.02715i) q^{5} +(-1.78309 + 2.45421i) q^{6} +5.11933i q^{7} +(-0.587785 + 0.809017i) q^{8} +(1.91669 - 5.89896i) q^{9} +O(q^{10})$	\(q+(-0.951057 + 0.309017i) q^{2} +(2.45421 - 1.78309i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.943747 - 2.02715i) q^{5} +(-1.78309 + 2.45421i) q^{6} +5.11933i q^{7} +(-0.587785 + 0.809017i) q^{8} +(1.91669 - 5.89896i) q^{9} +(-0.271133 + 2.21957i) q^{10} +(4.67487 - 1.51896i) q^{11} +(0.937424 - 2.88509i) q^{12} +(-3.60392 + 0.108292i) q^{13} +(-1.58196 - 4.86877i) q^{14} +(-1.29843 - 6.65783i) q^{15} +(0.309017 - 0.951057i) q^{16} +(3.42840 + 2.49088i) q^{17} +6.20253i q^{18} +(2.01319 - 2.77092i) q^{19} +(-0.428022 - 2.19472i) q^{20} +(9.12820 + 12.5639i) q^{21} +(-3.97669 + 2.88923i) q^{22} +(0.692903 + 2.13254i) q^{23} +3.03357i q^{24} +(-3.21868 - 3.82624i) q^{25} +(3.39407 - 1.21667i) q^{26} +(-3.00213 - 9.23961i) q^{27} +(3.00906 + 4.14162i) q^{28} +(-0.941542 + 0.684070i) q^{29} +(3.29227 + 5.93074i) q^{30} +(-0.591570 + 0.814227i) q^{31} +1.00000i q^{32} +(8.76468 - 12.0635i) q^{33} +(-4.03033 - 1.30953i) q^{34} +(10.3776 + 4.83135i) q^{35} +(-1.91669 - 5.89896i) q^{36} +(-2.13193 - 0.692705i) q^{37} +(-1.05840 + 3.25741i) q^{38} +(-8.65169 + 6.69188i) q^{39} +(1.08528 + 1.95504i) q^{40} +(-11.2058 - 3.64099i) q^{41} +(-12.5639 - 9.12820i) q^{42} +2.98767 q^{43} +(2.88923 - 3.97669i) q^{44} +(-10.1492 - 9.45254i) q^{45} +(-1.31798 - 1.81404i) q^{46} +(-2.11683 - 2.91357i) q^{47} +(-0.937424 - 2.88509i) q^{48} -19.2075 q^{49} +(4.24352 + 2.64434i) q^{50} +12.8555 q^{51} +(-2.85198 + 2.20594i) q^{52} +(-1.76973 + 1.28578i) q^{53} +(5.71040 + 7.85969i) q^{54} +(1.33274 - 10.9102i) q^{55} +(-4.14162 - 3.00906i) q^{56} -10.3901i q^{57} +(0.684070 - 0.941542i) q^{58} +(-6.13756 - 1.99421i) q^{59} +(-4.96383 - 4.62310i) q^{60} +(-0.127447 - 0.392242i) q^{61} +(0.311007 - 0.957181i) q^{62} +(30.1987 + 9.81215i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-3.18167 + 7.40790i) q^{65} +(-4.60786 + 14.1815i) q^{66} +(-4.39923 + 6.05502i) q^{67} +4.23774 q^{68} +(5.50302 + 3.99818i) q^{69} +(-11.3627 - 1.38802i) q^{70} +(7.77901 + 10.7069i) q^{71} +(3.64576 + 5.01796i) q^{72} +(4.79061 - 1.55656i) q^{73} +2.24164 q^{74} +(-14.7218 - 3.65119i) q^{75} -3.42505i q^{76} +(7.77604 + 23.9322i) q^{77} +(6.16034 - 9.03787i) q^{78} +(-3.54233 + 2.57365i) q^{79} +(-1.63630 - 1.52398i) q^{80} +(-8.78902 - 6.38560i) q^{81} +11.7825 q^{82} +(2.11077 - 2.90523i) q^{83} +(14.7697 + 4.79898i) q^{84} +(8.28494 - 4.59913i) q^{85} +(-2.84145 + 0.923242i) q^{86} +(-1.09098 + 3.35770i) q^{87} +(-1.51896 + 4.67487i) q^{88} +(6.63958 - 2.15733i) q^{89} +(12.5735 + 5.85362i) q^{90} +(-0.554381 - 18.4497i) q^{91} +(1.81404 + 1.31798i) q^{92} +3.05310i q^{93} +(2.91357 + 2.11683i) q^{94} +(-3.71713 - 6.69610i) q^{95} +(1.78309 + 2.45421i) q^{96} +(-3.44995 - 4.74844i) q^{97} +(18.2674 - 5.93544i) q^{98} -30.4883i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 136 q + 34 q^{4} - 30 q^{9}+O(q^{10}) $ 136 * q + 34 * q^4 - 30 * q^9	$ 136 q + 34 q^{4} - 30 q^{9} - 4 q^{10} - 12 q^{13} + 8 q^{14} - 34 q^{16} + 4 q^{23} + 40 q^{25} + 4 q^{26} - 12 q^{27} + 16 q^{29} + 10 q^{30} - 18 q^{35} + 30 q^{36} - 24 q^{38} + 32 q^{39} + 4 q^{40} - 12 q^{42} + 24 q^{43} - 104 q^{49} + 84 q^{51} + 12 q^{52} + 4 q^{53} - 60 q^{55} - 8 q^{56} + 12 q^{61} + 18 q^{62} + 34 q^{64} + 26 q^{65} + 16 q^{66} + 84 q^{69} - 88 q^{74} - 214 q^{75} + 56 q^{78} - 8 q^{79} - 74 q^{81} + 160 q^{82} - 164 q^{87} - 16 q^{90} - 40 q^{91} + 16 q^{92} + 48 q^{94} - 4 q^{95}+O(q^{100}) $ 136 * q + 34 * q^4 - 30 * q^9 - 4 * q^10 - 12 * q^13 + 8 * q^14 - 34 * q^16 + 4 * q^23 + 40 * q^25 + 4 * q^26 - 12 * q^27 + 16 * q^29 + 10 * q^30 - 18 * q^35 + 30 * q^36 - 24 * q^38 + 32 * q^39 + 4 * q^40 - 12 * q^42 + 24 * q^43 - 104 * q^49 + 84 * q^51 + 12 * q^52 + 4 * q^53 - 60 * q^55 - 8 * q^56 + 12 * q^61 + 18 * q^62 + 34 * q^64 + 26 * q^65 + 16 * q^66 + 84 * q^69 - 88 * q^74 - 214 * q^75 + 56 * q^78 - 8 * q^79 - 74 * q^81 + 160 * q^82 - 164 * q^87 - 16 * q^90 - 40 * q^91 + 16 * q^92 + 48 * q^94 - 4 * q^95

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/650\mathbb{Z}\right)^\times$.

$n$	$27$	$301$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$-1$

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 $

$2$	−0.951057	+	0.309017i	−0.672499	+	0.218508i
$2$	−0.951057	+	0.309017i	−0.672499	+	0.218508i
$3$	2.45421	−	1.78309i	1.41694	−	1.02947i	0.424670	−	0.905348i	$-0.360390\pi$
$3$	2.45421	−	1.78309i	1.41694	−	1.02947i	0.992268	−	0.124117i	$-0.0396099\pi$
$4$	0.809017	−	0.587785i	0.404508	−	0.293893i
$5$	0.943747	−	2.02715i	0.422057	−	0.906569i
$5$	0.943747	−	2.02715i	0.422057	−	0.906569i
$6$	−1.78309	+	2.45421i	−0.727942	+	1.00193i
$7$			5.11933i			1.93492i	0.253017	+	0.967462i	$0.418577\pi$
$7$			5.11933i			1.93492i	−0.253017	+	0.967462i	$0.581423\pi$
$8$	−0.587785	+	0.809017i	−0.207813	+	0.286031i
$9$	1.91669	−	5.89896i	0.638896	−	1.96632i
$10$	−0.271133	+	2.21957i	−0.0857397	+	0.701889i
$11$	4.67487	−	1.51896i	1.40953	−	0.457983i	0.497268	−	0.867597i	$-0.334336\pi$
$11$	4.67487	−	1.51896i	1.40953	−	0.457983i	0.912259	+	0.409614i	$0.134336\pi$
$12$	0.937424	−	2.88509i	0.270611	−	0.832855i
$13$	−3.60392	+	0.108292i	−0.999549	+	0.0300347i
$13$	−3.60392	+	0.108292i	−0.999549	+	0.0300347i
$14$	−1.58196	−	4.86877i	−0.422796	−	1.30123i
$15$	−1.29843	−	6.65783i	−0.335254	−	1.71905i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	3.42840	+	2.49088i	0.831510	+	0.604127i	0.919986	−	0.391951i	$-0.128200\pi$
$17$	3.42840	+	2.49088i	0.831510	+	0.604127i	−0.0884763	+	0.996078i	$0.528200\pi$
$18$			6.20253i			1.46195i
$19$	2.01319	−	2.77092i	0.461858	−	0.635693i	−0.513035	−	0.858368i	$-0.671479\pi$
$19$	2.01319	−	2.77092i	0.461858	−	0.635693i	0.974893	+	0.222675i	$0.0714788\pi$
$20$	−0.428022	−	2.19472i	−0.0957086	−	0.490754i
$21$	9.12820	+	12.5639i	1.99194	+	2.74167i
$22$	−3.97669	+	2.88923i	−0.847832	+	0.615986i
$23$	0.692903	+	2.13254i	0.144480	+	0.444664i	0.996944	−	0.0781222i	$-0.0248924\pi$
$23$	0.692903	+	2.13254i	0.144480	+	0.444664i	−0.852464	+	0.522787i	$0.824892\pi$
$24$			3.03357i			0.619224i
$25$	−3.21868	−	3.82624i	−0.643736	−	0.765247i
$26$	3.39407	−	1.21667i	0.665632	−	0.238608i
$27$	−3.00213	−	9.23961i	−0.577761	−	1.77816i
$28$	3.00906	+	4.14162i	0.568660	+	0.782693i
$29$	−0.941542	+	0.684070i	−0.174840	+	0.127029i	−0.671764	−	0.740766i	$-0.734463\pi$
$29$	−0.941542	+	0.684070i	−0.174840	+	0.127029i	0.496924	+	0.867794i	$0.334463\pi$
$30$	3.29227	+	5.93074i	0.601083	+	1.08280i
$31$	−0.591570	+	0.814227i	−0.106249	+	0.146239i	−0.858830	−	0.512260i	$-0.828808\pi$
$31$	−0.591570	+	0.814227i	−0.106249	+	0.146239i	0.752581	+	0.658499i	$0.228808\pi$
$32$			1.00000i			0.176777i
$33$	8.76468	−	12.0635i	1.52573	−	2.09999i
$34$	−4.03033	−	1.30953i	−0.691196	−	0.224583i
$35$	10.3776	+	4.83135i	1.75414	+	0.816647i
$36$	−1.91669	−	5.89896i	−0.319448	−	0.983160i
$37$	−2.13193	−	0.692705i	−0.350487	−	0.113880i	0.128482	−	0.991712i	$-0.458989\pi$
$37$	−2.13193	−	0.692705i	−0.350487	−	0.113880i	−0.478969	+	0.877832i	$0.658989\pi$
$38$	−1.05840	+	3.25741i	−0.171695	+	0.528422i
$39$	−8.65169	+	6.69188i	−1.38538	+	1.07156i
$40$	1.08528	+	1.95504i	0.171598	+	0.309118i
$41$	−11.2058	−	3.64099i	−1.75005	−	0.568626i	−0.753958	−	0.656923i	$-0.771858\pi$
$41$	−11.2058	−	3.64099i	−1.75005	−	0.568626i	−0.996094	+	0.0882967i	$0.971858\pi$
$42$	−12.5639	−	9.12820i	−1.93865	−	1.40851i
$43$	2.98767			0.455616			0.227808	−	0.973706i	$-0.426844\pi$
$43$	2.98767			0.455616			0.227808	+	0.973706i	$0.426844\pi$
$44$	2.88923	−	3.97669i	0.435568	−	0.599508i
$45$	−10.1492	−	9.45254i	−1.51296	−	1.40910i
$46$	−1.31798	−	1.81404i	−0.194325	−	0.267466i
$47$	−2.11683	−	2.91357i	−0.308772	−	0.424988i	0.626226	−	0.779642i	$-0.284599\pi$
$47$	−2.11683	−	2.91357i	−0.308772	−	0.424988i	−0.934998	+	0.354654i	$0.884599\pi$
$48$	−0.937424	−	2.88509i	−0.135306	−	0.416428i
$49$	−19.2075			−2.74393
$50$	4.24352	+	2.64434i	0.600124	+	0.373966i
$51$	12.8555			1.80013
$52$	−2.85198	+	2.20594i	−0.395499	+	0.305909i
$53$	−1.76973	+	1.28578i	−0.243090	+	0.176616i	−0.702659	−	0.711527i	$-0.748004\pi$
$53$	−1.76973	+	1.28578i	−0.243090	+	0.176616i	0.459569	+	0.888142i	$0.348004\pi$
$54$	5.71040	+	7.85969i	0.777086	+	1.06957i
$55$	1.33274	−	10.9102i	0.179707	−	1.47113i
$56$	−4.14162	−	3.00906i	−0.553448	−	0.402103i
$57$		−	10.3901i		−	1.37620i
$58$	0.684070	−	0.941542i	0.0898228	−	0.123630i
$59$	−6.13756	−	1.99421i	−0.799042	−	0.259625i	−0.119092	−	0.992883i	$-0.537998\pi$
$59$	−6.13756	−	1.99421i	−0.799042	−	0.259625i	−0.679950	+	0.733259i	$0.737998\pi$
$60$	−4.96383	−	4.62310i	−0.640828	−	0.596840i
$61$	−0.127447	−	0.392242i	−0.0163179	−	0.0502214i	0.942566	−	0.334020i	$-0.108405\pi$
$61$	−0.127447	−	0.392242i	−0.0163179	−	0.0502214i	−0.958884	+	0.283799i	$0.908405\pi$
$62$	0.311007	−	0.957181i	0.0394979	−	0.121562i
$63$	30.1987	+	9.81215i	3.80468	+	1.23622i
$64$	−0.309017	−	0.951057i	−0.0386271	−	0.118882i
$65$	−3.18167	+	7.40790i	−0.394638	+	0.918837i
$66$	−4.60786	+	14.1815i	−0.567189	+	1.74563i
$67$	−4.39923	+	6.05502i	−0.537451	+	0.739738i	−0.988243	−	0.152891i	$-0.951142\pi$
$67$	−4.39923	+	6.05502i	−0.537451	+	0.739738i	0.450792	+	0.892629i	$0.351142\pi$
$68$	4.23774			0.513901
$69$	5.50302	+	3.99818i	0.662486	+	0.481324i
$70$	−11.3627	−	1.38802i	−1.35810	−	0.165900i
$71$	7.77901	+	10.7069i	0.923199	+	1.27067i	0.962454	+	0.271445i	$0.0875015\pi$
$71$	7.77901	+	10.7069i	0.923199	+	1.27067i	−0.0392551	+	0.999229i	$0.512498\pi$
$72$	3.64576	+	5.01796i	0.429657	+	0.591372i
$73$	4.79061	−	1.55656i	0.560699	−	0.182182i	−0.0149369	−	0.999888i	$-0.504755\pi$
$73$	4.79061	−	1.55656i	0.560699	−	0.182182i	0.575635	+	0.817706i	$0.304755\pi$
$74$	2.24164			0.260585
$75$	−14.7218	−	3.65119i	−1.69993	−	0.421603i
$76$		−	3.42505i		−	0.392880i
$77$	7.77604	+	23.9322i	0.886162	+	2.72733i
$78$	6.16034	−	9.03787i	0.697521	−	1.02334i
$79$	−3.54233	+	2.57365i	−0.398543	+	0.289559i	−0.768947	−	0.639312i	$-0.779219\pi$
$79$	−3.54233	+	2.57365i	−0.398543	+	0.289559i	0.370404	+	0.928871i	$0.379219\pi$
$80$	−1.63630	−	1.52398i	−0.182944	−	0.170386i
$81$	−8.78902	−	6.38560i	−0.976558	−	0.709511i
$82$	11.7825			1.30116
$83$	2.11077	−	2.90523i	0.231688	−	0.318891i	−0.677305	−	0.735702i	$-0.736852\pi$
$83$	2.11077	−	2.90523i	0.231688	−	0.318891i	0.908993	+	0.416811i	$0.136852\pi$
$84$	14.7697	+	4.79898i	1.61151	+	0.523612i
$85$	8.28494	−	4.59913i	0.898627	−	0.498846i
$86$	−2.84145	+	0.923242i	−0.306401	+	0.0995557i
$87$	−1.09098	+	3.35770i	−0.116966	+	0.359983i
$88$	−1.51896	+	4.67487i	−0.161922	+	0.498343i
$89$	6.63958	−	2.15733i	0.703794	−	0.228677i	0.0648114	−	0.997898i	$-0.479355\pi$
$89$	6.63958	−	2.15733i	0.703794	−	0.228677i	0.638983	+	0.769221i	$0.279355\pi$
$90$	12.5735	+	5.85362i	1.32536	+	0.617026i
$91$	−0.554381	−	18.4497i	−0.0581149	−	1.93405i
$92$	1.81404	+	1.31798i	0.189127	+	0.137409i
$93$			3.05310i			0.316592i
$94$	2.91357	+	2.11683i	0.300512	+	0.218334i
$95$	−3.71713	−	6.69610i	−0.381370	−	0.687005i
$96$	1.78309	+	2.45421i	0.181986	+	0.250482i
$97$	−3.44995	−	4.74844i	−0.350289	−	0.482131i	0.597122	−	0.802150i	$-0.296311\pi$
$97$	−3.44995	−	4.74844i	−0.350289	−	0.482131i	−0.947411	+	0.320019i	$0.896311\pi$
$98$	18.2674	−	5.93544i	1.84529	−	0.599570i
$99$		−	30.4883i		−	3.06419i
$100$	−4.85297	−	1.20360i	−0.485297	−	0.120360i
$101$	−13.1832			−1.31178			−0.655889	−	0.754857i	$-0.727706\pi$
$101$	−13.1832			−1.31178			−0.655889	+	0.754857i	$0.727706\pi$
$102$	−12.2263	+	3.97256i	−1.21058	+	0.393342i
$103$	−1.45629	+	1.05806i	−0.143493	+	0.104253i	−0.657216	−	0.753703i	$-0.728266\pi$
$103$	−1.45629	+	1.05806i	−0.143493	+	0.104253i	0.513723	+	0.857956i	$0.328266\pi$
$104$	2.03072	−	2.97929i	0.199129	−	0.292143i
$105$	34.0836	−	6.64711i	3.32622	−	0.648691i
$106$	1.28578	−	1.76973i	0.124886	−	0.171891i
$107$	2.52374			0.243979			0.121989	−	0.992531i	$-0.461073\pi$
$107$	2.52374			0.243979			0.121989	+	0.992531i	$0.461073\pi$
$108$	−7.85969	−	5.71040i	−0.756299	−	0.549483i
$109$	15.2781	+	4.96417i	1.46338	+	0.475481i	0.929101	−	0.369826i	$-0.120583\pi$
$109$	15.2781	+	4.96417i	1.46338	+	0.475481i	0.534280	+	0.845307i	$0.320583\pi$
$110$	2.10392	+	10.7880i	0.200601	+	1.02860i
$111$	−6.46735	+	2.10137i	−0.613853	+	0.199453i
$112$	4.86877	+	1.58196i	0.460055	+	0.149481i
$113$	−4.96047	+	15.2667i	−0.466641	+	1.43617i	0.390265	+	0.920703i	$0.372383\pi$
$113$	−4.96047	+	15.2667i	−0.466641	+	1.43617i	−0.856906	+	0.515472i	$0.827617\pi$
$114$	3.21072	+	9.88159i	0.300712	+	0.925495i
$115$	4.97690	+	0.607956i	0.464098	+	0.0566922i
$116$	−0.359637	+	1.10685i	−0.0333915	+	0.102768i
$117$	−6.26879	+	21.4670i	−0.579550	+	1.98462i
$118$	6.45341			0.594085
$119$	−12.7516	+	17.5511i	−1.16894	+	1.60891i
$120$	6.14950	+	2.86292i	0.561370	+	0.261348i
$121$	10.6480	−	7.73624i	0.968002	−	0.703295i
$122$	0.242419	+	0.333661i	0.0219476	+	0.0302082i
$123$	−33.9936	+	11.0452i	−3.06510	+	0.995910i
$124$			1.00644i			0.0903810i
$125$	−10.7940	+	2.91376i	−0.965443	+	0.260614i
$126$	−31.7528			−2.82876
$127$	−5.81662	−	17.9017i	−0.516142	−	1.58852i	−0.781195	−	0.624287i	$-0.785389\pi$
$127$	−5.81662	−	17.9017i	−0.516142	−	1.58852i	0.265053	−	0.964234i	$-0.414611\pi$
$128$	0.587785	+	0.809017i	0.0519534	+	0.0715077i
$129$	7.33237	−	5.32728i	0.645579	−	0.469041i
$130$	0.736781	−	8.02852i	0.0646200	−	0.704148i
$131$	6.11198	+	4.44061i	0.534006	+	0.387978i	0.821854	−	0.569698i	$-0.192940\pi$
$131$	6.11198	+	4.44061i	0.534006	+	0.387978i	−0.287848	+	0.957676i	$0.592940\pi$
$132$		−	14.9114i		−	1.29787i
$133$	14.1853	+	10.3062i	1.23002	+	0.893660i
$134$	2.31281	−	7.11810i	0.199796	−	0.614910i
$135$	−21.5633	−	2.63408i	−1.85588	−	0.226706i
$136$	−4.03033	+	1.30953i	−0.345598	+	0.112292i
$137$	18.3174	+	5.95167i	1.56496	+	0.508486i	0.958127	−	0.286345i	$-0.0924404\pi$
$137$	18.3174	+	5.95167i	1.56496	+	0.508486i	0.606831	+	0.794831i	$0.292440\pi$
$138$	−6.46919	−	2.10197i	−0.550694	−	0.178931i
$139$	5.72120	+	17.6080i	0.485266	+	1.49349i	0.831595	+	0.555382i	$0.187428\pi$
$139$	5.72120	+	17.6080i	0.485266	+	1.49349i	−0.346330	+	0.938113i	$0.612572\pi$
$140$	11.2355	−	2.19118i	0.949572	−	0.185189i
$141$	−10.3903	−	3.37601i	−0.875020	−	0.284311i
$142$	−10.7069	−	7.77901i	−0.898502	−	0.652800i
$143$	−16.6834	+	5.98046i	−1.39514	+	0.500111i
$144$	−5.01796	−	3.64576i	−0.418163	−	0.303813i
$145$	0.498136	+	2.55424i	0.0413679	+	0.212118i
$146$	−4.07514	+	2.96076i	−0.337261	+	0.245034i
$147$	−47.1392	+	34.2486i	−3.88798	+	2.82478i
$148$	−2.13193	+	0.692705i	−0.175243	+	0.0569400i
$149$		−	1.92602i		−	0.157786i	−0.996883	−	0.0788928i	$-0.974862\pi$
$149$		−	1.92602i		−	0.157786i	0.996883	−	0.0788928i	$-0.0251385\pi$
$150$	15.1296	−	1.07681i	1.23532	−	0.0879209i
$151$		−	4.06770i		−	0.331024i	−0.986208	−	0.165512i	$-0.947072\pi$
$151$		−	4.06770i		−	0.331024i	0.986208	−	0.165512i	$-0.0529277\pi$
$152$	1.05840	+	3.25741i	0.0858474	+	0.264211i
$153$	21.2648	−	15.4498i	1.71916	−	1.24904i
$154$	−14.7909	−	20.3579i	−1.19189	−	1.64049i
$155$	1.09227	+	1.96763i	0.0877331	+	0.158044i
$156$	−3.06597	+	10.4992i	−0.245474	+	0.840607i
$157$	−4.88239			−0.389657			−0.194829	−	0.980837i	$-0.562415\pi$
$157$	−4.88239			−0.389657			−0.194829	+	0.980837i	$0.562415\pi$
$158$	2.57365	−	3.54233i	0.204749	−	0.281813i
$159$	−2.05062	+	6.31115i	−0.162624	+	0.500507i
$160$	2.02715	+	0.943747i	0.160260	+	0.0746098i
$161$	−10.9171	+	3.54720i	−0.860392	+	0.279558i
$162$	10.3321	+	3.35711i	0.811768	+	0.263759i
$163$	−13.9496	−	4.53251i	−1.09262	−	0.355013i	−0.293361	−	0.956002i	$-0.594774\pi$
$163$	−13.9496	−	4.53251i	−1.09262	−	0.355013i	−0.799258	+	0.600989i	$0.794774\pi$
$164$	−11.2058	+	3.64099i	−0.875026	+	0.284313i
$165$	−16.1830	−	29.1523i	−1.25984	−	2.26950i
$166$	−1.10970	+	3.41530i	−0.0861294	+	0.265079i
$167$	−2.89531	+	3.98505i	−0.224046	+	0.308372i	−0.906211	−	0.422826i	$-0.861038\pi$
$167$	−2.89531	+	3.98505i	−0.224046	+	0.308372i	0.682166	+	0.731198i	$0.261038\pi$
$168$	−15.5298			−1.19815
$169$	12.9765	−	0.780551i	0.998196	−	0.0600423i
$170$	−6.45823	+	6.93422i	−0.495324	+	0.531830i
$171$	−12.4869	−	17.1867i	−0.954897	−	1.31430i
$172$	2.41708	−	1.75611i	0.184300	−	0.133902i
$173$	4.44624	+	13.6841i	0.338041	+	1.04038i	0.965204	+	0.261496i	$0.0842159\pi$
$173$	4.44624	+	13.6841i	0.338041	+	1.04038i	−0.627163	+	0.778888i	$0.715784\pi$
$174$		−	3.53050i		−	0.267646i
$175$	19.5878	−	16.4775i	1.48069	−	1.24558i
$176$		−	4.91545i		−	0.370516i
$177$	−18.6187	+	6.04958i	−1.39947	+	0.454715i
$178$	−5.64797	+	4.10349i	−0.423333	+	0.307569i
$179$	−6.28686	+	4.56767i	−0.469902	+	0.341404i	−0.797403	−	0.603447i	$-0.793793\pi$
$179$	−6.28686	+	4.56767i	−0.469902	+	0.341404i	0.327501	+	0.944851i	$0.393793\pi$
$180$	−13.7670	−	1.68171i	−1.02613	−	0.125347i
$181$	−12.8058	−	9.30397i	−0.951849	−	0.691559i	−0.000605637	−	1.00000i	$-0.500193\pi$
$181$	−12.8058	−	9.30397i	−0.951849	−	0.691559i	−0.951243	+	0.308441i	$0.900193\pi$
$182$	6.22851	+	17.3754i	0.461688	+	1.28795i
$183$	−1.01218	−	0.735394i	−0.0748227	−	0.0543619i
$184$	−2.13254	−	0.692903i	−0.157213	−	0.0510815i
$185$	−3.41622	+	3.66800i	−0.251165	+	0.269677i
$186$	−0.943461	−	2.90367i	−0.0691779	−	0.212908i
$187$	19.8109	+	6.43695i	1.44872	+	0.470716i
$188$	−3.42510	−	1.11288i	−0.249801	−	0.0811654i
$189$	47.3006	−	15.3689i	3.44061	−	1.11792i
$190$	5.60441	+	5.21971i	0.406587	+	0.378677i
$191$	6.85596	−	21.1005i	0.496080	−	1.52678i	−0.319186	−	0.947692i	$-0.603410\pi$
$191$	6.85596	−	21.1005i	0.496080	−	1.52678i	0.815267	−	0.579086i	$-0.196590\pi$
$192$	−2.45421	−	1.78309i	−0.177117	−	0.128683i
$193$			7.12265i			0.512699i	0.966584	+	0.256350i	$0.0825199\pi$
$193$			7.12265i			0.512699i	−0.966584	+	0.256350i	$0.917480\pi$
$194$	4.74844	+	3.44995i	0.340918	+	0.247692i
$195$	5.40045	+	23.8537i	0.386734	+	1.70820i
$196$	−15.5392	+	11.2899i	−1.10994	+	0.806420i
$197$	11.2019	+	15.4182i	0.798106	+	1.09850i	0.993051	+	0.117684i	$0.0375470\pi$
$197$	11.2019	+	15.4182i	0.798106	+	1.09850i	−0.194946	+	0.980814i	$0.562453\pi$
$198$	9.42139	+	28.9961i	0.669549	+	2.06066i
$199$	−10.7718			−0.763592			−0.381796	−	0.924247i	$-0.624694\pi$
$199$	−10.7718			−0.763592			−0.381796	+	0.924247i	$0.624694\pi$
$200$	4.98738	−	0.354964i	0.352661	−	0.0250997i
$201$			22.7045i			1.60145i
$202$	12.5380	−	4.07383i	0.882169	−	0.286634i
$203$	−3.50198	−	4.82006i	−0.245791	−	0.338302i
$204$	10.4003	−	7.55625i	0.728166	−	0.529044i
$205$	−17.9563	+	19.2797i	−1.25412	+	1.34655i
$206$	1.05806	−	1.45629i	0.0737183	−	0.101465i
$207$	13.9078			0.966660
$208$	−1.01068	+	3.46100i	−0.0700782	+	0.239977i
$209$	5.20251	−	16.0117i	0.359865	−	1.10755i
$210$	−30.3614	+	16.8542i	−2.09513	+	1.16305i
$211$	0.302772	+	0.931837i	0.0208437	+	0.0641503i	0.960937	−	0.276766i	$-0.0892627\pi$
$211$	0.302772	+	0.931837i	0.0208437	+	0.0641503i	−0.940094	+	0.340916i	$0.889263\pi$
$212$	−0.675975	+	2.08044i	−0.0464262	+	0.142885i
$213$	38.1826	+	12.4063i	2.61623	+	0.850065i
$214$	−2.40022	+	0.779878i	−0.164075	+	0.0533114i
$215$	2.81961	−	6.05646i	0.192296	−	0.413047i
$216$	9.23961	+	3.00213i	0.628676	+	0.204269i
$217$	−4.16829	−	3.02844i	−0.282962	−	0.205584i
$218$	−16.0644			−1.08802
$219$	8.98167	−	12.3622i	0.606925	−	0.835360i
$220$	−5.33464	−	9.60989i	−0.359661	−	0.647899i
$221$	−12.6254	−	8.60568i	−0.849279	−	0.578880i
$222$	5.50145	−	3.99704i	0.369233	−	0.268264i
$223$	0.466706	−	0.151642i	0.0312529	−	0.0101547i	−0.293349	−	0.956005i	$-0.594770\pi$
$223$	0.466706	−	0.151642i	0.0312529	−	0.0101547i	0.324602	+	0.945851i	$0.394770\pi$
$224$	−5.11933			−0.342049
$225$	−28.7400	+	11.6532i	−1.91600	+	0.776879i
$226$		−	16.0524i		−	1.06779i
$227$	−9.69397	+	3.14976i	−0.643412	+	0.209057i	−0.612507	−	0.790465i	$-0.709839\pi$
$227$	−9.69397	+	3.14976i	−0.643412	+	0.209057i	−0.0309047	+	0.999522i	$0.509839\pi$
$228$	−6.10716	−	8.40578i	−0.404456	−	0.556686i
$229$	−7.67303	−	10.5610i	−0.507048	−	0.697892i	0.476370	−	0.879245i	$-0.341952\pi$
$229$	−7.67303	−	10.5610i	−0.507048	−	0.697892i	−0.983418	+	0.181353i	$0.941952\pi$
$230$	−4.92118	+	0.959745i	−0.324493	+	0.0632837i
$231$	61.7572	+	44.8692i	4.06333	+	2.95218i
$232$		−	1.16381i		−	0.0764078i
$233$	−10.4165	−	7.56804i	−0.682409	−	0.495799i	0.191747	−	0.981444i	$-0.438585\pi$
$233$	−10.4165	−	7.56804i	−0.682409	−	0.495799i	−0.874156	+	0.485645i	$0.838585\pi$
$234$	−0.671683	−	22.3535i	−0.0439093	−	1.46129i
$235$	−7.90400	+	1.54146i	−0.515600	+	0.100554i
$236$	−6.13756	+	1.99421i	−0.399521	+	0.129812i
$237$	−4.10457	+	12.6326i	−0.266620	+	0.820573i
$238$	6.70393	−	20.6326i	0.434551	−	1.33741i
$239$	−9.43487	+	3.06558i	−0.610291	+	0.198296i	−0.597825	−	0.801627i	$-0.703968\pi$
$239$	−9.43487	+	3.06558i	−0.610291	+	0.198296i	−0.0124661	+	0.999922i	$0.503968\pi$
$240$	−6.73321	−	0.822500i	−0.434627	−	0.0530921i
$241$	−0.970620	−	0.315373i	−0.0625231	−	0.0203150i	0.277588	−	0.960700i	$-0.410465\pi$
$241$	−0.970620	−	0.315373i	−0.0625231	−	0.0203150i	−0.340112	+	0.940385i	$0.610465\pi$
$242$	−7.73624	+	10.6480i	−0.497304	+	0.684481i
$243$	−3.81085			−0.244466
$244$	−0.333661	−	0.242419i	−0.0213605	−	0.0155193i
$245$	−18.1270	+	38.9365i	−1.15809	+	2.48756i
$246$	28.9166	−	21.0092i	1.84366	−	1.33950i
$247$	−6.95533	+	10.2042i	−0.442557	+	0.649278i
$248$	−0.311007	−	0.957181i	−0.0197490	−	0.0607811i
$249$		−	10.8937i		−	0.690362i
$250$	9.36529	−	6.10667i	0.592313	−	0.386220i
$251$	5.32782			0.336289			0.168144	−	0.985762i	$-0.446223\pi$
$251$	5.32782			0.336289			0.168144	+	0.985762i	$0.446223\pi$
$252$	30.1987	−	9.81215i	1.90234	−	0.618108i
$253$	6.47847	+	8.91684i	0.407298	+	0.560597i
$254$	11.0639	+	15.2281i	0.694209	+	0.955497i
$255$	12.1323	−	26.0600i	0.759755	−	1.63194i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	11.7322			0.731832			0.365916	−	0.930648i	$-0.380756\pi$
$257$	11.7322			0.731832			0.365916	+	0.930648i	$0.380756\pi$
$258$	−5.32728	+	7.33237i	−0.331662	+	0.456493i
$259$	3.54618	−	10.9140i	0.220349	−	0.678165i
$260$	1.78023	+	7.86326i	0.110405	+	0.487658i
$261$	2.23066	+	6.86527i	0.138074	+	0.424949i
$262$	−7.18506	−	2.33457i	−0.443895	−	0.144230i
$263$	2.45830	−	7.56587i	0.151585	−	0.466531i	−0.846214	−	0.532844i	$-0.821123\pi$
$263$	2.45830	−	7.56587i	0.151585	−	0.466531i	0.997799	+	0.0663123i	$0.0211234\pi$
$264$	4.60786	+	14.1815i	0.283594	+	0.872814i
$265$	0.936298	+	4.80095i	0.0575164	+	0.294920i
$266$	−16.6758	−	5.41828i	−1.02246	−	0.332216i
$267$	12.4482	−	17.1335i	0.761818	−	1.04855i
$268$			7.48441i			0.457183i
$269$	17.0946	+	12.4200i	1.04228	+	0.757259i	0.970729	−	0.240178i	$-0.0772057\pi$
$269$	17.0946	+	12.4200i	1.04228	+	0.757259i	0.0715491	+	0.997437i	$0.477206\pi$
$270$	21.3219	−	4.15828i	1.29761	−	0.253065i
$271$	1.23165	+	1.69522i	0.0748175	+	0.102977i	0.844786	−	0.535105i	$-0.179728\pi$
$271$	1.23165	+	1.69522i	0.0748175	+	0.102977i	−0.769968	+	0.638082i	$0.779728\pi$
$272$	3.42840	−	2.49088i	0.207877	−	0.151032i
$273$	−34.2579	−	44.2908i	−2.07338	−	2.68060i
$274$	−19.2600			−1.16354
$275$	−20.8588	−	12.9981i	−1.25783	−	0.783816i
$276$	6.80211			0.409439
$277$	−6.06250	−	18.6584i	−0.364260	−	1.12108i	−0.950443	−	0.310899i	$-0.899370\pi$
$277$	−6.06250	−	18.6584i	−0.364260	−	1.12108i	0.586183	−	0.810179i	$-0.300630\pi$
$278$	−10.8824	−	14.9783i	−0.652681	−	0.898339i
$279$	3.66924	+	5.05027i	0.219671	+	0.302352i
$280$	−10.0085	+	5.55590i	−0.598121	+	0.332028i
$281$	8.55941	−	11.7810i	0.510612	−	0.702797i	−0.473411	−	0.880842i	$-0.656977\pi$
$281$	8.55941	−	11.7810i	0.510612	−	0.702797i	0.984022	+	0.178045i	$0.0569773\pi$
$282$	10.9250			0.650574
$283$	−1.93241	−	1.40398i	−0.114870	−	0.0834579i	0.528867	−	0.848705i	$-0.322617\pi$
$283$	−1.93241	−	1.40398i	−0.114870	−	0.0834579i	−0.643737	+	0.765247i	$0.722617\pi$
$284$	12.5867	+	4.08967i	0.746884	+	0.242677i
$285$	−21.0623	−	9.80564i	−1.24762	−	0.580836i
$286$	14.0188	−	10.8432i	0.828949	−	0.641173i
$287$	18.6394	−	57.3661i	1.10025	−	3.38622i
$288$	5.89896	+	1.91669i	0.347600	+	0.112942i
$289$	0.296170	+	0.911518i	0.0174218	+	0.0536187i
$290$	−1.26306	−	2.27529i	−0.0741693	−	0.133610i
$291$	−16.9338	−	5.50212i	−0.992675	−	0.322540i
$292$	2.96076	−	4.07514i	0.173265	−	0.238479i
$293$			19.9859i			1.16759i	0.811901	+	0.583795i	$0.198433\pi$
$293$			19.9859i			1.16759i	−0.811901	+	0.583795i	$0.801567\pi$
$294$	34.2486	−	47.1392i	1.99742	−	2.74921i
$295$	−9.83488	+	10.5597i	−0.572609	+	0.614811i
$296$	1.81353	−	1.31760i	0.105409	−	0.0765841i
$297$	−28.0692	−	38.6339i	−1.62874	−	2.24177i
$298$	0.595173	+	1.83175i	0.0344774	+	0.106111i
$299$	−2.72811	−	7.61046i	−0.157770	−	0.440124i
$300$	−14.0563	+	5.69940i	−0.811542	+	0.329055i
$301$			15.2949i			0.881582i
$302$	1.25699	+	3.86861i	0.0723315	+	0.222613i
$303$	−32.3543	+	23.5068i	−1.85871	+	1.35043i
$304$	−2.01319	−	2.77092i	−0.115465	−	0.158923i
$305$	−0.915412	−	0.111823i	−0.0524163	−	0.00640295i
$306$	−15.4498	+	21.2648i	−0.883205	+	1.21563i
$307$			24.3623i			1.39043i	0.718801	+	0.695215i	$0.244691\pi$
$307$			24.3623i			1.39043i	−0.718801	+	0.695215i	$0.755309\pi$
$308$	20.3579	+	14.7909i	1.16000	+	0.842791i
$309$	−1.68743	+	5.19338i	−0.0959947	+	0.295441i
$310$	−1.64684	−	1.53380i	−0.0935341	−	0.0871137i
$311$	−8.40054	−	25.8542i	−0.476351	−	1.46606i	−0.844127	−	0.536143i	$-0.819881\pi$
$311$	−8.40054	−	25.8542i	−0.476351	−	1.46606i	0.367776	−	0.929915i	$-0.380119\pi$
$312$	−0.328510	−	10.9328i	−0.0185982	−	0.618945i
$313$	1.00861	−	3.10418i	0.0570100	−	0.175459i	−0.918497	−	0.395429i	$-0.870596\pi$
$313$	1.00861	−	3.10418i	0.0570100	−	0.175459i	0.975507	+	0.219970i	$0.0705960\pi$
$314$	4.64343	−	1.50874i	0.262044	−	0.0851432i
$315$	48.3907	−	51.9571i	2.72650	−	2.92745i
$316$	−1.35305	+	4.16426i	−0.0761150	+	0.234258i
$317$	1.76115	−	2.42401i	0.0989158	−	0.136146i	−0.756690	−	0.653774i	$-0.773185\pi$
$317$	1.76115	−	2.42401i	0.0989158	−	0.136146i	0.855606	+	0.517628i	$0.173185\pi$
$318$		−	6.63593i		−	0.372125i
$319$	−3.36251	+	4.62810i	−0.188265	+	0.259124i
$320$	−2.21957	−	0.271133i	−0.124078	−	0.0151568i
$321$	6.19378	−	4.50004i	0.345703	−	0.251168i
$322$	9.28668	−	6.74717i	0.517526	−	0.376005i
$323$	13.8041	−	4.48521i	0.768079	−	0.249564i
$324$	−10.8638			−0.603546
$325$	12.0142	+	13.4409i	0.666430	+	0.745568i
$326$	14.6675			0.812358
$327$	46.3473	−	15.0592i	2.56301	−	0.832773i
$328$	9.53222	−	6.92557i	0.526329	−	0.382400i
$329$	14.9155	−	10.8367i	0.822318	−	0.597449i
$330$	24.3995	+	22.7246i	1.34315	+	1.25095i
$331$	−13.8233	+	19.0261i	−0.759795	+	1.04577i	0.237436	+	0.971403i	$0.423693\pi$
$331$	−13.8233	+	19.0261i	−0.759795	+	1.04577i	−0.997231	+	0.0743654i	$0.976307\pi$
$332$		−	3.59106i		−	0.197085i
$333$	−8.17248	+	11.2485i	−0.447849	+	0.616411i
$334$	1.52215	−	4.68470i	0.0832885	−	0.256336i
$335$	8.12268	+	14.6323i	0.443789	+	0.799448i
$336$	14.7697	−	4.79898i	0.805755	−	0.261806i
$337$	−0.826941	+	2.54506i	−0.0450463	+	0.138638i	−0.971050	−	0.238876i	$-0.923221\pi$
$337$	−0.826941	+	2.54506i	−0.0450463	+	0.138638i	0.926004	+	0.377514i	$0.123221\pi$
$338$	−12.1002	+	4.75232i	−0.658165	+	0.258492i
$339$	15.0479	+	46.3127i	0.817290	+	2.51536i
$340$	3.99935	−	8.59054i	0.216895	−	0.465887i
$341$	−1.52874	+	4.70498i	−0.0827859	+	0.254789i
$342$	17.1867	+	12.4869i	0.929352	+	0.675214i
$343$		−	62.4942i		−	3.37437i
$344$	−1.75611	+	2.41708i	−0.0946831	+	0.130320i
$345$	13.2984	−	7.38219i	0.715961	−	0.397444i
$346$	−8.45725	−	11.6404i	−0.454665	−	0.625792i
$347$	−8.69226	+	6.31530i	−0.466625	+	0.339023i	−0.796125	−	0.605133i	$-0.793120\pi$
$347$	−8.69226	+	6.31530i	−0.466625	+	0.339023i	0.329499	+	0.944156i	$0.393120\pi$
$348$	1.09098	+	3.35770i	0.0584828	+	0.179992i
$349$			25.9360i			1.38832i	0.719820	+	0.694161i	$0.244224\pi$
$349$			25.9360i			1.38832i	−0.719820	+	0.694161i	$0.755776\pi$
$350$	−13.5372	+	21.7240i	−0.723596	+	1.16119i
$351$	11.8200	+	32.9738i	0.630907	+	1.76001i
$352$	1.51896	+	4.67487i	0.0809608	+	0.249172i
$353$	15.8763	+	21.8518i	0.845010	+	1.16306i	0.984940	+	0.172895i	$0.0553120\pi$
$353$	15.8763	+	21.8518i	0.845010	+	1.16306i	−0.139931	+	0.990161i	$0.544688\pi$
$354$	15.8380	−	11.5070i	0.841781	−	0.611590i
$355$	29.0459	−	5.66463i	1.54160	−	0.300648i
$356$	4.10349	−	5.64797i	0.217484	−	0.299342i
$357$			65.8113i			3.48311i
$358$	4.56767	−	6.28686i	0.241409	−	0.332271i
$359$	21.1109	+	6.85933i	1.11419	+	0.362022i	0.807547	−	0.589803i	$-0.200795\pi$
$359$	21.1109	+	6.85933i	1.11419	+	0.362022i	0.306642	+	0.951825i	$0.400795\pi$
$360$	13.6128	−	2.65482i	0.717459	−	0.139921i
$361$	2.24626	+	6.91327i	0.118224	+	0.363857i
$362$	15.0541	+	4.89139i	0.791228	+	0.257086i
$363$	12.3381	−	37.9727i	0.647581	−	1.99305i
$364$	−11.2929	−	14.6002i	−0.591911	−	0.765260i
$365$	1.36574	−	11.1803i	0.0714859	−	0.585203i
$366$	1.18989	+	0.386620i	0.0621967	+	0.0202089i
$367$	−9.01427	−	6.54925i	−0.470541	−	0.341868i	0.327111	−	0.944986i	$-0.393925\pi$
$367$	−9.01427	−	6.54925i	−0.470541	−	0.341868i	−0.797652	+	0.603118i	$0.793925\pi$
$368$	2.24228			0.116887
$369$	−42.9561	+	59.1239i	−2.23620	+	3.07787i
$370$	2.11554	−	4.54414i	0.109982	−	0.236239i
$371$	−6.58233	−	9.05980i	−0.341738	−	0.470361i
$372$	1.79457	+	2.47001i	0.0930441	+	0.128064i
$373$	1.55946	+	4.79952i	0.0807456	+	0.248510i	0.983278	−	0.182114i	$-0.0582938\pi$
$373$	1.55946	+	4.79952i	0.0807456	+	0.248510i	−0.902532	+	0.430623i	$0.858294\pi$
$374$	−20.8304			−1.07711
$375$	−21.2952	+	26.3976i	−1.09968	+	1.36316i
$376$	3.60137			0.185726
$377$	3.31917	−	2.56730i	0.170946	−	0.132223i
$378$	−40.2363	+	29.2334i	−2.06953	+	1.50360i
$379$	−11.7038	−	16.1088i	−0.601182	−	0.827456i	0.394634	−	0.918838i	$-0.370871\pi$
$379$	−11.7038	−	16.1088i	−0.601182	−	0.827456i	−0.995816	+	0.0913827i	$0.970871\pi$
$380$	−6.94309	−	3.23238i	−0.356173	−	0.165818i
$381$	−46.1955	−	33.5630i	−2.36667	−	1.71949i
$382$			22.1864i			1.13515i
$383$	20.6669	−	28.4455i	1.05603	−	1.45350i	0.172567	−	0.984998i	$-0.444794\pi$
$383$	20.6669	−	28.4455i	1.05603	−	1.45350i	0.883463	−	0.468502i	$-0.155206\pi$
$384$	2.88509	+	0.937424i	0.147229	+	0.0478377i
$385$	55.8528	+	6.82273i	2.84652	+	0.347719i
$386$	−2.20102	−	6.77404i	−0.112029	−	0.344790i
$387$	5.72644	−	17.6242i	0.291091	−	0.895887i
$388$	−5.58213	−	1.81374i	−0.283390	−	0.0920789i
$389$	9.12358	+	28.0795i	0.462584	+	1.42369i	0.861996	+	0.506915i	$0.169214\pi$
$389$	9.12358	+	28.0795i	0.462584	+	1.42369i	−0.399413	+	0.916771i	$0.630786\pi$
$390$	−12.5073	−	21.0174i	−0.633333	−	1.06426i
$391$	−2.93634	+	9.03713i	−0.148497	+	0.457027i
$392$	11.2899	−	15.5392i	0.570225	−	0.784848i
$393$	22.9181			1.15606
$394$	−15.4182	−	11.2019i	−0.776755	−	0.564346i
$395$	1.87412	+	9.60971i	0.0942972	+	0.483517i
$396$	−17.9206	−	24.6655i	−0.900542	−	1.23949i
$397$	−14.7804	−	20.3434i	−0.741806	−	1.02101i	−0.998513	−	0.0545185i	$-0.982638\pi$
$397$	−14.7804	−	20.3434i	−0.741806	−	1.02101i	0.256707	−	0.966489i	$-0.417362\pi$
$398$	10.2446	−	3.32867i	0.513515	−	0.166851i
$399$	53.1904			2.66285
$400$	−4.63359	+	1.87878i	−0.231680	+	0.0939388i
$401$		−	25.1898i		−	1.25792i	−0.777439	−	0.628958i	$-0.783482\pi$
$401$		−	25.1898i		−	1.25792i	0.777439	−	0.628958i	$-0.216518\pi$
$402$	−7.01607	−	21.5932i	−0.349930	−	1.07697i
$403$	2.04380	−	2.99847i	0.101809	−	0.149365i
$404$	−10.6654	+	7.74889i	−0.530625	+	0.385522i
$405$	−21.2392	+	11.7903i	−1.05538	+	0.585864i
$406$	4.82006	+	3.50198i	0.239216	+	0.173800i
$407$	−11.0187			−0.546176
$408$	−7.55625	+	10.4003i	−0.374090	+	0.514891i
$409$	−12.3717	−	4.01979i	−0.611739	−	0.198766i	−0.0132698	−	0.999912i	$-0.504224\pi$
$409$	−12.3717	−	4.01979i	−0.611739	−	0.198766i	−0.598469	+	0.801146i	$0.704224\pi$
$410$	11.1197	−	23.8849i	0.549162	−	1.17959i
$411$	55.5670	−	18.0548i	2.74092	−	0.890578i
$412$	−0.556253	+	1.71197i	−0.0274046	+	0.0843428i
$413$	10.2090	−	31.4202i	0.502354	−	1.54609i
$414$	−13.2271	+	4.29775i	−0.650078	+	0.211223i
$415$	−3.89730	−	7.02066i	−0.191311	−	0.344631i
$416$	−0.108292	−	3.60392i	−0.00530944	−	0.176697i
$417$	45.4377	+	33.0124i	2.22509	+	1.61662i
$418$			16.8357i			0.823459i
$419$	−2.28090	−	1.65717i	−0.111429	−	0.0809581i	0.530675	−	0.847575i	$-0.321938\pi$
$419$	−2.28090	−	1.65717i	−0.111429	−	0.0809581i	−0.642104	+	0.766617i	$0.721938\pi$
$420$	23.6672	−	25.4115i	1.15484	−	1.23995i
$421$	−12.7175	−	17.5041i	−0.619813	−	0.853100i	0.377526	−	0.925999i	$-0.376775\pi$
$421$	−12.7175	−	17.5041i	−0.619813	−	0.853100i	−0.997339	+	0.0728991i	$0.976775\pi$
$422$	−0.575907	−	0.792668i	−0.0280347	−	0.0385865i
$423$	−21.2443	+	6.90270i	−1.03293	+	0.335621i
$424$		−	2.18750i		−	0.106234i
$425$	−1.50424	−	21.1352i	−0.0729665	−	1.02521i
$426$	−40.1476			−1.94516
$427$	2.00801	−	0.652444i	0.0971747	−	0.0315740i
$428$	2.04175	−	1.48342i	0.0986916	−	0.0717036i
$429$	−30.2809	+	44.4252i	−1.46197	+	2.14487i
$430$	−0.810056	+	6.63135i	−0.0390644	+	0.319792i
$431$	2.57525	−	3.54453i	0.124045	−	0.170734i	−0.742478	−	0.669871i	$-0.766349\pi$
$431$	2.57525	−	3.54453i	0.124045	−	0.170734i	0.866523	+	0.499137i	$0.166349\pi$
$432$	−9.71511			−0.467418
$433$	−4.18953	−	3.04387i	−0.201336	−	0.146279i	0.482549	−	0.875869i	$-0.339711\pi$
$433$	−4.18953	−	3.04387i	−0.201336	−	0.146279i	−0.683885	+	0.729590i	$0.739711\pi$
$434$	4.90012	+	1.59215i	0.235213	+	0.0764255i
$435$	5.77695	+	5.38041i	0.276984	+	0.257971i
$436$	15.2781	−	4.96417i	0.731691	−	0.237741i
$437$	7.30404	+	2.37323i	0.349399	+	0.113527i
$438$	−4.72194	+	14.5326i	−0.225623	+	0.694397i
$439$	−4.65886	−	14.3385i	−0.222355	−	0.684339i	−0.998549	−	0.0538452i	$-0.982852\pi$
$439$	−4.65886	−	14.3385i	−0.222355	−	0.684339i	0.776194	−	0.630494i	$-0.217148\pi$
$440$	8.04316	+	7.49106i	0.383443	+	0.357122i
$441$	−36.8148	+	113.304i	−1.75309	+	5.39544i
$442$	14.6668	+	4.28301i	0.697629	+	0.203722i
$443$	2.29950			0.109253			0.0546263	−	0.998507i	$-0.482603\pi$
$443$	2.29950			0.109253			0.0546263	+	0.998507i	$0.482603\pi$
$444$	−3.99704	+	5.50145i	−0.189691	+	0.261087i
$445$	1.89285	−	15.4954i	0.0897298	−	0.734553i
$446$	−0.397004	+	0.288440i	−0.0187987	+	0.0136580i
$447$	−3.43426	−	4.72685i	−0.162435	−	0.223572i
$448$	4.86877	−	1.58196i	0.230028	−	0.0747405i
$449$		−	6.19039i		−	0.292142i	−0.989274	−	0.146071i	$-0.953337\pi$
$449$		−	6.19039i		−	0.292142i	0.989274	−	0.146071i	$-0.0466629\pi$
$450$	23.7324	−	19.9640i	1.11875	−	0.941111i
$451$	−57.9162			−2.72717
$452$	4.96047	+	15.2667i	0.233321	+	0.718087i
$453$	−7.25305	−	9.98297i	−0.340778	−	0.469041i
$454$	8.24619	−	5.99121i	0.387013	−	0.281181i
$455$	−37.9235	−	16.2880i	−1.77788	−	0.763594i
$456$	8.40578	+	6.10716i	0.393637	+	0.285994i
$457$		−	4.50516i		−	0.210743i	−0.994433	−	0.105371i	$-0.966397\pi$
$457$		−	4.50516i		−	0.210743i	0.994433	−	0.105371i	$-0.0336031\pi$
$458$	10.5610	+	7.67303i	0.493484	+	0.358537i
$459$	12.7223	−	39.1551i	0.593824	−	1.82760i
$460$	4.38374	−	2.43350i	0.204393	−	0.113463i
$461$	1.00307	−	0.325919i	0.0467178	−	0.0151795i	−0.285565	−	0.958359i	$-0.592181\pi$
$461$	1.00307	−	0.325919i	0.0467178	−	0.0151795i	0.332283	+	0.943180i	$0.392181\pi$
$462$	−72.6000	−	23.5892i	−3.37766	−	1.09747i
$463$	16.8485	+	5.47441i	0.783016	+	0.254417i	0.673127	−	0.739527i	$-0.264951\pi$
$463$	16.8485	+	5.47441i	0.783016	+	0.254417i	0.109889	+	0.993944i	$0.464951\pi$
$464$	0.359637	+	1.10685i	0.0166957	+	0.0513842i
$465$	6.18910	+	2.88136i	0.287013	+	0.133620i
$466$	12.2453	+	3.97875i	0.567255	+	0.184312i
$467$	−0.186930	−	0.135812i	−0.00865008	−	0.00628465i	0.583452	−	0.812148i	$-0.301702\pi$
$467$	−0.186930	−	0.135812i	−0.00865008	−	0.00628465i	−0.592102	+	0.805863i	$0.701702\pi$
$468$	7.54641	+	21.0518i	0.348833	+	0.973122i
$469$	−30.9976	−	22.5211i	−1.43134	−	1.03993i
$470$	7.04081	−	3.90849i	0.324768	−	0.180285i
$471$	−11.9824	+	8.70572i	−0.552120	+	0.401139i
$472$	5.22092	−	3.79322i	0.240312	−	0.174597i
$473$	13.9670	−	4.53815i	0.642203	−	0.208664i
$474$		−	13.2827i		−	0.610093i
$475$	−17.0820	+	1.21577i	−0.783777	+	0.0557832i
$476$			21.6944i			0.994360i
$477$	4.19276	+	12.9040i	0.191973	+	0.590833i
$478$	8.02578	−	5.83107i	0.367091	−	0.266707i
$479$	2.98137	+	4.10350i	0.136222	+	0.187494i	0.871678	−	0.490079i	$-0.163032\pi$
$479$	2.98137	+	4.10350i	0.136222	+	0.187494i	−0.735456	+	0.677572i	$0.763032\pi$
$480$	6.65783	−	1.29843i	0.303887	−	0.0592651i
$481$	7.75832	+	2.26559i	0.353749	+	0.103302i
$482$	1.02057			0.0464857
$483$	−20.4680	+	28.1718i	−0.931326	+	1.28186i
$484$	4.06718	−	12.5175i	0.184872	−	0.568977i
$485$	−12.8817	+	2.51223i	−0.584927	+	0.114075i
$486$	3.62433	−	1.17762i	0.164403	−	0.0534178i
$487$	−31.4825	−	10.2293i	−1.42661	−	0.463534i	−0.508914	−	0.860817i	$-0.669953\pi$
$487$	−31.4825	−	10.2293i	−1.42661	−	0.463534i	−0.917696	+	0.397284i	$0.869953\pi$
$488$	0.392242	+	0.127447i	0.0177560	+	0.00576926i
$489$	−42.3171	+	13.7497i	−1.91365	+	0.621781i
$490$	5.20778	−	42.6324i	0.235264	−	1.92593i
$491$	6.90096	−	21.2390i	0.311436	−	0.958501i	−0.665761	−	0.746165i	$-0.731893\pi$
$491$	6.90096	−	21.2390i	0.311436	−	0.958501i	0.977197	−	0.212336i	$-0.0681072\pi$
$492$	−21.0092	+	28.9166i	−0.947167	+	1.30366i
$493$	−4.93192			−0.222123
$494$	3.46164	−	11.8541i	0.155746	−	0.533341i
$495$	−61.8043	−	28.7732i	−2.77790	−	1.29326i
$496$	0.591570	+	0.814227i	0.0265623	+	0.0365599i
$497$	−54.8121	+	39.8233i	−2.45866	+	1.78632i
$498$	3.36635	+	10.3606i	0.150850	+	0.464268i
$499$			10.8754i			0.486848i	0.969920	+	0.243424i	$0.0782706\pi$
$499$			10.8754i			0.486848i	−0.969920	+	0.243424i	$0.921729\pi$
$500$	−7.01985	+	8.70182i	−0.313937	+	0.389157i
$501$			14.9427i			0.667591i
$502$	−5.06705	+	1.64639i	−0.226154	+	0.0734818i
$503$	0.351633	−	0.255476i	0.0156785	−	0.0113911i	−0.579918	−	0.814675i	$-0.696916\pi$
$503$	0.351633	−	0.255476i	0.0156785	−	0.0113911i	0.595597	+	0.803283i	$0.296916\pi$
$504$	−25.6886	+	18.6638i	−1.14426	+	0.831353i
$505$	−12.4416	+	26.7244i	−0.553645	+	1.18922i
$506$	−8.91684	−	6.47847i	−0.396402	−	0.288003i
$507$	30.4554	−	25.0539i	1.35257	−	1.11268i
$508$	−15.2281	−	11.0639i	−0.675638	−	0.490880i
$509$	−7.62907	−	2.47883i	−0.338153	−	0.109872i	0.135018	−	0.990843i	$-0.456891\pi$
$509$	−7.62907	−	2.47883i	−0.338153	−	0.109872i	−0.473171	+	0.880971i	$0.656891\pi$
$510$	−3.48554	+	28.5336i	−0.154342	+	1.26349i
$511$	7.96856	+	24.5247i	0.352508	+	1.08491i
$512$	0.951057	+	0.309017i	0.0420312	+	0.0136568i
$513$	−31.6461	−	10.2824i	−1.39721	−	0.453981i
$514$	−11.1579	+	3.62544i	−0.492156	+	0.159911i
$515$	0.770471	+	3.95066i	0.0339510	+	0.174087i
$516$	2.80072	−	8.61972i	0.123295	−	0.379462i
$517$	−14.3215	−	10.4052i	−0.629859	−	0.457619i
$518$			11.4757i			0.504213i
$519$	35.3120	+	25.6556i	1.55002	+	1.12616i
$520$	−4.12298	−	6.92828i	−0.180805	−	0.303825i
$521$	19.2417	−	13.9799i	0.842994	−	0.612471i	−0.0802115	−	0.996778i	$-0.525560\pi$
$521$	19.2417	−	13.9799i	0.842994	−	0.612471i	0.923205	+	0.384307i	$0.125560\pi$
$522$	−4.24297	−	5.83995i	−0.185710	−	0.255607i
$523$	−1.92829	−	5.93466i	−0.0843181	−	0.259504i	0.900005	−	0.435880i	$-0.143563\pi$
$523$	−1.92829	−	5.93466i	−0.0843181	−	0.259504i	−0.984323	+	0.176375i	$0.943563\pi$
$524$	7.55482			0.330034
$525$	18.6916	−	75.3658i	0.815770	−	3.28923i
$526$			7.95523i			0.346864i
$527$	−4.05628	+	1.31797i	−0.176694	+	0.0574115i
$528$	−8.76468	−	12.0635i	−0.381434	−	0.524998i
$529$	14.5398	−	10.5638i	0.632165	−	0.459295i
$530$	−2.37405	−	4.27665i	−0.103122	−	0.185766i
$531$	−23.5276	+	32.3829i	−1.02101	+	1.40530i
$532$	17.5339			0.760193
$533$	40.7791	+	11.9083i	1.76634	+	0.515807i
$534$	−6.54441	+	20.1416i	−0.283204	+	0.871613i
$535$	2.38177	−	5.11600i	0.102973	−	0.221184i
$536$	−2.31281	−	7.11810i	−0.0998982	−	0.307455i
$537$	−7.28471	+	22.4200i	−0.314358	+	0.967495i
$538$	−20.0959	−	6.52957i	−0.866398	−	0.281510i
$539$	−89.7926	+	29.1754i	−3.86764	+	1.25667i
$540$	−18.9934	+	10.5436i	−0.817345	+	0.453724i
$541$	23.5679	+	7.65767i	1.01326	+	0.329229i	0.768153	−	0.640267i	$-0.221176\pi$
$541$	23.5679	+	7.65767i	1.01326	+	0.329229i	0.245109	+	0.969495i	$0.421176\pi$
$542$	−1.69522	−	1.23165i	−0.0728160	−	0.0529039i
$543$	−48.0179			−2.06065
$544$	−2.49088	+	3.42840i	−0.106796	+	0.146992i
$545$	24.4818	−	26.2862i	1.04869	−	1.12598i
$546$	46.2678	+	31.5368i	1.98008	+	1.34965i
$547$	11.2180	−	8.15033i	0.479645	−	0.348483i	−0.321543	−	0.946895i	$-0.604201\pi$
$547$	11.2180	−	8.15033i	0.479645	−	0.348483i	0.801188	+	0.598412i	$0.204201\pi$
$548$	18.3174	−	5.95167i	0.782479	−	0.254243i
$549$	−2.55810			−0.109177
$550$	23.8546	+	5.91622i	1.01716	+	0.252268i
$551$			3.98610i			0.169814i
$552$	−6.46919	+	2.10197i	−0.275347	+	0.0894657i
$553$	−13.1754	−	18.1343i	−0.560274	−	0.771150i
$554$	11.5316	+	15.8718i	0.489929	+	0.674329i
$555$	−1.84375	+	15.0934i	−0.0782628	+	0.640681i
$556$	14.9783	+	10.8824i	0.635221	+	0.461515i
$557$			3.35482i			0.142148i	0.997471	+	0.0710742i	$0.0226427\pi$
$557$			3.35482i			0.142148i	−0.997471	+	0.0710742i	$0.977357\pi$
$558$	−5.05027	−	3.66924i	−0.213795	−	0.155331i
$559$	−10.7673	+	0.323540i	−0.455410	+	0.0136843i
$560$	7.80176	−	8.37676i	0.329684	−	0.353983i
$561$	60.0977	−	19.5269i	2.53733	−	0.824427i
$562$	−4.49995	+	13.8494i	−0.189819	+	0.584203i
$563$	−5.66955	+	17.4491i	−0.238943	+	0.735391i	0.757631	+	0.652683i	$0.226357\pi$
$563$	−5.66955	+	17.4491i	−0.238943	+	0.735391i	−0.996574	+	0.0827076i	$0.973643\pi$
$564$	−10.3903	+	3.37601i	−0.437510	+	0.142156i
$565$	26.2666	+	24.4636i	1.10504	+	1.02919i
$566$	2.27169	+	0.738116i	0.0954861	+	0.0310253i
$567$	32.6900	−	44.9939i	1.37285	−	1.88957i
$568$	−13.2344			−0.555305
$569$	−21.0935	−	15.3253i	−0.884286	−	0.642472i	0.0500957	−	0.998744i	$-0.484047\pi$
$569$	−21.0935	−	15.3253i	−0.884286	−	0.642472i	−0.934382	+	0.356273i	$0.884047\pi$
$570$	23.0616	+	2.81710i	0.965943	+	0.117995i
$571$	26.1684	−	19.0125i	1.09511	−	0.795647i	0.114858	−	0.993382i	$-0.463359\pi$
$571$	26.1684	−	19.0125i	1.09511	−	0.795647i	0.980256	+	0.197735i	$0.0633585\pi$
$572$	−9.98193	+	14.6446i	−0.417365	+	0.612320i
$573$	−20.7980	−	64.0098i	−0.868850	−	2.67405i
$574$			60.3183i			2.51764i
$575$	5.92935	−	9.51516i	0.247271	−	0.396810i
$576$	−6.20253			−0.258439
$577$	−31.3533	+	10.1873i	−1.30525	+	0.424103i	−0.877407	−	0.479748i	$-0.840728\pi$
$577$	−31.3533	+	10.1873i	−1.30525	+	0.424103i	−0.427848	+	0.903851i	$0.640728\pi$
$578$	−0.563349	−	0.775384i	−0.0234322	−	0.0322517i
$579$	12.7003	+	17.4805i	0.527806	+	0.726463i
$580$	1.90434	+	1.77362i	0.0790735	+	0.0736457i
$581$	14.8728	+	10.8057i	0.617029	+	0.448298i
$582$	17.8052			0.738050
$583$	−6.32020	+	8.69900i	−0.261756	+	0.360276i
$584$	−1.55656	+	4.79061i	−0.0644111	+	0.198237i
$585$	37.6006	+	32.9672i	1.55460	+	1.36303i
$586$	−6.17599	−	19.0077i	−0.255128	−	0.785203i
$587$	−40.5739	−	13.1833i	−1.67467	−	0.544132i	−0.690800	−	0.723045i	$-0.742742\pi$
$587$	−40.5739	−	13.1833i	−1.67467	−	0.544132i	−0.983865	+	0.178914i	$0.942742\pi$
$588$	−18.0056	+	55.4155i	−0.742537	+	2.28529i
$589$	1.06521	+	3.27839i	0.0438914	+	0.135084i
$590$	6.09039	−	13.0820i	0.250737	−	0.538579i
$591$	54.9838	+	17.8653i	2.26173	+	0.734881i
$592$	−1.31760	+	1.81353i	−0.0541532	+	0.0745354i
$593$		−	29.6319i		−	1.21684i	−0.793617	−	0.608418i	$-0.791804\pi$
$593$		−	29.6319i		−	1.21684i	0.793617	−	0.608418i	$-0.208196\pi$
$594$	38.6339	+	28.0692i	1.58517	+	1.15169i
$595$	23.5444	+	42.4133i	0.965228	+	1.73878i
$596$	−1.13209	−	1.55818i	−0.0463720	−	0.0638256i
$597$	−26.4362	+	19.2070i	−1.08196	+	0.786092i
$598$	4.94634	+	6.39495i	0.202271	+	0.261509i
$599$	31.6540			1.29335			0.646674	−	0.762767i	$-0.276160\pi$
$599$	31.6540			1.29335			0.646674	+	0.762767i	$0.276160\pi$
$600$	11.6071	−	9.76409i	0.473860	−	0.398617i
$601$	−36.0525			−1.47061			−0.735307	−	0.677734i	$-0.762962\pi$
$601$	−36.0525			−1.47061			−0.735307	+	0.677734i	$0.762962\pi$
$602$	−4.72638	−	14.5463i	−0.192633	−	0.592862i
$603$	27.2864	+	37.5565i	1.11119	+	1.52942i
$604$	−2.39093	−	3.29084i	−0.0972856	−	0.133902i
$605$	−5.63349	−	28.8862i	−0.229034	−	1.17439i
$606$	23.5068	−	32.3543i	0.954898	−	1.31430i
$607$	−36.4357			−1.47888			−0.739439	−	0.673223i	$-0.764909\pi$
$607$	−36.4357			−1.47888			−0.739439	+	0.673223i	$0.764909\pi$
$608$	2.77092	+	2.01319i	0.112376	+	0.0816457i
$609$	−17.1892	−	5.58510i	−0.696540	−	0.226320i
$610$	0.905163	−	0.176528i	0.0366490	−	0.00714741i
$611$	7.94442	+	10.2710i	0.321397	+	0.415522i
$612$	8.12242	−	24.9983i	0.328330	−	1.01049i
$613$	15.1357	+	4.91789i	0.611326	+	0.198632i	0.598285	−	0.801283i	$-0.295849\pi$
$613$	15.1357	+	4.91789i	0.611326	+	0.198632i	0.0130404	+	0.999915i	$0.495849\pi$
$614$	−7.52837	−	23.1699i	−0.303820	−	0.935063i
$615$	−9.69108	+	79.3339i	−0.390782	+	3.19905i
$616$	−23.9322	−	7.77604i	−0.964256	−	0.313306i
$617$	20.6778	−	28.4605i	0.832455	−	1.14578i	−0.155006	−	0.987914i	$-0.549540\pi$
$617$	20.6778	−	28.4605i	0.832455	−	1.14578i	0.987461	−	0.157862i	$-0.0504603\pi$
$618$		−	5.46065i		−	0.219659i
$619$	7.47003	−	10.2816i	0.300246	−	0.413253i	−0.632063	−	0.774917i	$-0.717791\pi$
$619$	7.47003	−	10.2816i	0.300246	−	0.413253i	0.932308	+	0.361665i	$0.117791\pi$
$620$	2.04021	+	0.949825i	0.0819366	+	0.0381459i
$621$	17.6236	−	12.8043i	0.707212	−	0.513819i
$622$	15.9788	+	21.9929i	0.640691	+	0.881835i
$623$	11.0441	+	33.9902i	0.442472	+	1.36179i
$624$	3.69084	+	10.2961i	0.147752	+	0.412176i
$625$	−4.28017	+	24.6309i	−0.171207	+	0.985235i
$626$			3.26393i			0.130453i
$627$	−15.7822	−	48.5725i	−0.630279	−	1.93980i
$628$	−3.94994	+	2.86980i	−0.157620	+	0.114517i
$629$	−5.58366	−	7.68525i	−0.222635	−	0.306431i
$630$	−29.9666	+	64.3677i	−1.19390	+	2.56447i
$631$	16.0864	−	22.1410i	0.640388	−	0.881418i	−0.358249	−	0.933626i	$-0.616626\pi$
$631$	16.0864	−	22.1410i	0.640388	−	0.881418i	0.998636	+	0.0522083i	$0.0166260\pi$
$632$		−	4.37856i		−	0.174170i
$633$	2.40461	+	1.74705i	0.0955747	+	0.0694391i
$634$	−0.925889	+	2.84959i	−0.0367717	+	0.113172i
$635$	−41.7789	−	5.10353i	−1.65795	−	0.202527i
$636$	2.05062	+	6.31115i	0.0813122	+	0.250253i
$637$	69.2224	−	2.08001i	2.74269	−	0.0824131i
$638$	1.76778	−	5.44066i	0.0699870	−	0.215398i
$639$	78.0695	−	25.3663i	3.08838	−	1.00348i
$640$	2.19472	−	0.428022i	0.0867539	−	0.0169191i
$641$	12.9531	−	39.8656i	0.511618	−	1.57460i	−0.277736	−	0.960658i	$-0.589584\pi$
$641$	12.9531	−	39.8656i	0.511618	−	1.57460i	0.789353	−	0.613939i	$-0.210416\pi$
$642$	−4.50004	+	6.19378i	−0.177603	+	0.244449i
$643$		−	22.0136i		−	0.868130i	−0.900882	−	0.434065i	$-0.857079\pi$
$643$		−	22.0136i		−	0.868130i	0.900882	−	0.434065i	$-0.142921\pi$
$644$	−6.74717	+	9.28668i	−0.265876	+	0.365946i
$645$	−3.87929	−	19.8914i	−0.152747	−	0.783224i
$646$	−11.7424	+	8.53138i	−0.462000	+	0.335663i
$647$	22.0952	−	16.0531i	0.868653	−	0.631114i	−0.0615719	−	0.998103i	$-0.519611\pi$
$647$	22.0952	−	16.0531i	0.868653	−	0.631114i	0.930225	+	0.366989i	$0.119611\pi$
$648$	10.3321	−	3.35711i	0.405884	−	0.131880i
$649$	−31.7214			−1.24518
$650$	−15.5797	−	9.07046i	−0.611086	−	0.355773i
$651$	−15.6298			−0.612581
$652$	−13.9496	+	4.53251i	−0.546309	+	0.177507i
$653$	−5.73624	+	4.16762i	−0.224476	+	0.163092i	−0.694339	−	0.719648i	$-0.744303\pi$
$653$	−5.73624	+	4.16762i	−0.224476	+	0.163092i	0.469863	+	0.882739i	$0.344303\pi$
$654$	−39.4254	+	28.6442i	−1.54165	+	1.12008i
$655$	14.7700	−	8.19909i	0.577110	−	0.320365i
$656$	−6.92557	+	9.53222i	−0.270398	+	0.372171i
$657$		−	31.2431i		−	1.21891i
$658$	−10.8367	+	14.9155i	−0.422460	+	0.581467i
$659$	2.18137	−	6.71356i	0.0849741	−	0.261523i	−0.899537	−	0.436844i	$-0.856096\pi$
$659$	2.18137	−	6.71356i	0.0849741	−	0.261523i	0.984511	+	0.175321i	$0.0560962\pi$
$660$	−30.2276	−	14.0726i	−1.17661	−	0.547773i
$661$	−20.5239	+	6.66863i	−0.798288	+	0.259380i	−0.679630	−	0.733556i	$-0.737859\pi$
$661$	−20.5239	+	6.66863i	−0.798288	+	0.259380i	−0.118659	+	0.992935i	$0.537859\pi$
$662$	7.26732	−	22.3665i	0.282452	−	0.869299i
$663$	−46.3301	+	1.39214i	−1.79931	+	0.0540663i
$664$	1.10970	+	3.41530i	0.0430647	+	0.132539i
$665$	34.2795	−	19.0292i	1.32930	−	0.737921i
$666$	4.29653	−	13.2234i	0.166487	−	0.512394i
$667$	−2.11120	−	1.53388i	−0.0817460	−	0.0593920i
$668$			4.92579i			0.190585i
$669$	0.875003	−	1.20434i	0.0338296	−	0.0465624i
$670$	−12.2468	−	11.4061i	−0.473133	−	0.440656i
$671$	−1.19160	−	1.64009i	−0.0460012	−	0.0633152i
$672$	−12.5639	+	9.12820i	−0.484663	+	0.352128i
$673$	4.52613	+	13.9300i	0.174469	+	0.536962i	0.999609	−	0.0279674i	$-0.00890347\pi$
$673$	4.52613	+	13.9300i	0.174469	+	0.536962i	−0.825139	+	0.564929i	$0.808903\pi$
$674$		−	2.67604i		−	0.103077i
$675$	−25.6900	+	41.2263i	−0.988810	+	1.58680i
$676$	10.0394	−	8.25890i	0.386133	−	0.317650i
$677$	2.54099	+	7.82036i	0.0976581	+	0.300561i	0.987937	−	0.154854i	$-0.0494908\pi$
$677$	2.54099	+	7.82036i	0.0976581	+	0.300561i	−0.890279	+	0.455415i	$0.849491\pi$
$678$	−28.6228	−	39.3959i	−1.09925	−	1.51299i
$679$	24.3088	−	17.6614i	0.932887	−	0.677782i
$680$	−1.14899	+	9.40595i	−0.0440618	+	0.360702i
$681$	−18.1747	+	25.0154i	−0.696457	+	0.958591i
$682$		−	4.94711i		−	0.189435i
$683$	9.08659	−	12.5066i	0.347689	−	0.478552i	−0.598979	−	0.800765i	$-0.704427\pi$
$683$	9.08659	−	12.5066i	0.347689	−	0.478552i	0.946667	+	0.322213i	$0.104427\pi$
$684$	−20.2042	−	6.56475i	−0.772528	−	0.251009i
$685$	29.3519	−	31.5152i	1.12148	−	1.20413i
$686$	19.3118	+	59.4355i	0.737327	+	2.26926i
$687$	−37.6624	−	12.2373i	−1.43691	−	0.466881i
$688$	0.923242	−	2.84145i	0.0351983	−	0.108329i
$689$	6.23872	−	4.82550i	0.237676	−	0.183837i
$690$	−10.3663	+	11.1303i	−0.394638	+	0.423723i
$691$	48.0438	+	15.6104i	1.82767	+	0.593847i	0.999440	+	0.0334641i	$0.0106539\pi$
$691$	48.0438	+	15.6104i	1.82767	+	0.593847i	0.828234	+	0.560383i	$0.189346\pi$
$692$	11.6404	+	8.45725i	0.442502	+	0.321496i
$693$	156.079			5.92897
$694$	6.31530	−	8.69226i	0.239726	−	0.329954i
$695$	41.0935	+	5.01981i	1.55877	+	0.190412i
$696$	−2.07517	−	2.85623i	−0.0786592	−	0.108265i
$697$	−29.3487	−	40.3951i	−1.11166	−	1.53007i
$698$	−8.01466	−	24.6666i	−0.303359	−	0.933644i
$699$	−39.0588			−1.47734
$700$	6.16160	−	24.8440i	0.232887	−	0.939013i
$701$	34.9412			1.31971			0.659855	−	0.751393i	$-0.270618\pi$
$701$	34.9412			1.31971			0.659855	+	0.751393i	$0.270618\pi$
$702$	−21.4310	−	27.7073i	−0.808860	−	1.04575i
$703$	−6.21141	+	4.51285i	−0.234268	+	0.170206i
$704$	−2.88923	−	3.97669i	−0.108892	−	0.149877i
$705$	−16.6495	+	17.8766i	−0.627056	+	0.673271i
$706$	−21.8518	−	15.8763i	−0.822405	−	0.597512i
$707$		−	67.4891i		−	2.53819i
$708$	−11.5070	+	15.8380i	−0.432459	+	0.595229i
$709$	−16.9327	−	5.50178i	−0.635922	−	0.206624i	−0.0267255	−	0.999643i	$-0.508508\pi$
$709$	−16.9327	−	5.50178i	−0.635922	−	0.206624i	−0.609197	+	0.793019i	$0.708508\pi$
$710$	−25.8738	+	14.3631i	−0.971028	+	0.539036i
$711$	8.39233	+	25.8289i	0.314737	+	0.968661i
$712$	−2.15733	+	6.63958i	−0.0808494	+	0.248829i
$713$	−2.14627	−	0.697365i	−0.0803784	−	0.0261165i
$714$	−20.3368	−	62.5903i	−0.761086	−	2.34238i
$715$	−3.62161	+	39.4638i	−0.135441	+	1.47586i
$716$	−2.40137	+	7.39064i	−0.0897432	+	0.276201i
$717$	−17.6889	+	24.3467i	−0.660606	+	0.909246i
$718$	−22.1973			−0.828395
$719$	−24.3971	−	17.7255i	−0.909859	−	0.661051i	0.0311202	−	0.999516i	$-0.490093\pi$
$719$	−24.3971	−	17.7255i	−0.909859	−	0.661051i	−0.940979	+	0.338464i	$0.890093\pi$
$720$	−12.1262	+	6.73148i	−0.451916	+	0.250867i
$721$	−5.41654	−	7.45522i	−0.201722	−	0.277647i
$722$	−4.27264	−	5.88078i	−0.159011	−	0.218860i
$723$	−2.94444	+	0.956707i	−0.109505	+	0.0355803i
$724$	−15.8289			−0.588275
$725$	5.64794	+	1.40076i	0.209759	+	0.0520228i
$726$			39.9268i			1.48182i
$727$	−12.5683	−	38.6813i	−0.466134	−	1.43461i	−0.857551	−	0.514399i	$-0.828015\pi$
$727$	−12.5683	−	38.6813i	−0.466134	−	1.43461i	0.391418	−	0.920213i	$-0.371985\pi$
$728$	15.2520	+	10.3959i	0.565275	+	0.385299i
$729$	17.0145	−	12.3617i	0.630165	−	0.457842i
$730$	2.15601	+	11.0551i	0.0797975	+	0.409169i
$731$	10.2429	+	7.44193i	0.378849	+	0.275250i
$732$	−1.25113			−0.0462430
$733$	5.34700	−	7.35951i	0.197496	−	0.271830i	−0.698770	−	0.715346i	$-0.746269\pi$
$733$	5.34700	−	7.35951i	0.197496	−	0.271830i	0.896266	+	0.443516i	$0.146269\pi$
$734$	10.5969	+	3.44315i	0.391139	+	0.127089i
$735$	24.9397	+	127.880i	0.919913	+	4.71694i
$736$	−2.13254	+	0.692903i	−0.0786063	+	0.0255407i
$737$	−11.3685	+	34.9887i	−0.418765	+	1.28882i
$738$	22.5833	−	69.5044i	0.831304	−	2.55849i
$739$	28.7835	−	9.35233i	1.05882	−	0.344031i	0.272695	−	0.962100i	$-0.412085\pi$
$739$	28.7835	−	9.35233i	1.05882	−	0.344031i	0.786124	+	0.618069i	$0.212085\pi$
$740$	−0.607782	+	4.97548i	−0.0223425	+	0.182902i
$741$	1.12516	+	37.4452i	0.0413339	+	1.37558i
$742$	9.05980	+	6.58233i	0.332596	+	0.241645i
$743$			24.4795i			0.898066i	0.893515	+	0.449033i	$0.148231\pi$
$743$			24.4795i			0.898066i	−0.893515	+	0.449033i	$0.851769\pi$
$744$	−2.47001	−	1.79457i	−0.0905550	−	0.0657921i
$745$	−3.90433	−	1.81768i	−0.143044	−	0.0665945i
$746$	−2.96626	−	4.08271i	−0.108603	−	0.149479i
$747$	−13.0921	−	18.0198i	−0.479017	−	0.659310i
$748$	19.8109	−	6.43695i	0.724358	−	0.235358i
$749$			12.9198i			0.472081i
$750$	12.0956	−	31.6862i	0.441670	−	1.15701i
$751$	16.4259			0.599389			0.299695	−	0.954035i	$-0.403115\pi$
$751$	16.4259			0.599389			0.299695	+	0.954035i	$0.403115\pi$
$752$	−3.42510	+	1.11288i	−0.124901	+	0.0405827i
$753$	13.0756	−	9.49996i	0.476500	−	0.346198i
$754$	−2.36338	+	3.46732i	−0.0860691	+	0.126273i
$755$	−8.24583	−	3.83888i	−0.300097	−	0.139711i
$756$	29.2334	−	40.2363i	1.06321	−	1.46338i
$757$	26.3217			0.956680			0.478340	−	0.878175i	$-0.341239\pi$
$757$	26.3217			0.956680			0.478340	+	0.878175i	$0.341239\pi$
$758$	16.1088	+	11.7038i	0.585099	+	0.425100i
$759$	31.7990	+	10.3321i	1.15423	+	0.375032i
$760$	7.60213	+	0.928643i	0.275758	+	0.0336854i
$761$	−27.5302	+	8.94509i	−0.997967	+	0.324259i	−0.762053	−	0.647515i	$-0.775808\pi$
$761$	−27.5302	+	8.94509i	−0.997967	+	0.324259i	−0.235914	+	0.971774i	$0.575808\pi$
$762$	54.3061	+	17.6451i	1.96730	+	0.639215i
$763$	−25.4132	+	78.2138i	−0.920020	+	2.83153i
$764$	−6.85596	−	21.1005i	−0.248040	−	0.763389i
$765$	−11.2504	−	57.6876i	−0.406760	−	2.08570i
$766$	−10.8652	+	33.4397i	−0.392577	+	1.20823i
$767$	22.3353	+	6.52235i	0.806479	+	0.235508i
$768$	−3.03357			−0.109464
$769$	−16.9864	+	23.3798i	−0.612546	+	0.843097i	−0.996784	−	0.0801370i	$-0.974464\pi$
$769$	−16.9864	+	23.3798i	−0.612546	+	0.843097i	0.384238	+	0.923234i	$0.374464\pi$
$770$	−55.2275	+	10.7707i	−1.99026	+	0.388148i
$771$	28.7932	−	20.9195i	1.03696	−	0.753396i
$772$	4.18659	+	5.76234i	0.150679	+	0.207391i
$773$	29.2346	−	9.49890i	1.05150	−	0.341652i	0.268241	−	0.963352i	$-0.413558\pi$
$773$	29.2346	−	9.49890i	1.05150	−	0.341652i	0.783255	+	0.621700i	$0.213558\pi$
$774$			18.5311i			0.666088i
$775$	5.01950	−	0.357249i	0.180306	−	0.0128328i
$776$	5.86940			0.210699
$777$	−10.7576	−	33.1085i	−0.385926	−	1.18776i
$778$	−17.3541	−	23.8858i	−0.622174	−	0.856349i
$779$	−32.6483	+	23.7204i	−1.16975	+	0.849871i
$780$	18.3899	+	16.1238i	0.658465	+	0.577323i
$781$	52.6292	+	38.2374i	1.88322	+	1.36824i
$782$		−	9.50220i		−	0.339798i
$783$	9.14718	+	6.64581i	0.326893	+	0.237502i
$784$	−5.93544	+	18.2674i	−0.211980	+	0.652408i
$785$	−4.60774	+	9.89734i	−0.164457	+	0.353251i
$786$	−21.7964	+	7.08207i	−0.777451	+	0.252609i
$787$	−3.48442	−	1.13216i	−0.124206	−	0.0403570i	0.246254	−	0.969205i	$-0.420800\pi$
$787$	−3.48442	−	1.13216i	−0.124206	−	0.0403570i	−0.370460	+	0.928848i	$0.620800\pi$
$788$	18.1251	+	5.88921i	0.645681	+	0.209794i
$789$	−7.45742	−	22.9516i	−0.265491	−	0.817098i
$790$	−4.75196	−	8.56024i	−0.169067	−	0.304560i
$791$	−78.1555	−	25.3942i	−2.77889	−	0.902916i
$792$	24.6655	+	17.9206i	0.876451	+	0.636779i
$793$	0.501787	+	1.39981i	0.0178190	+	0.0497087i
$794$	20.3434	+	14.7804i	0.721961	+	0.524536i
$795$	10.8584	+	10.1130i	0.385107	+	0.358672i
$796$	−8.71456	+	6.33150i	−0.308880	+	0.224414i
$797$	18.3385	−	13.3237i	0.649584	−	0.471950i	−0.213546	−	0.976933i	$-0.568501\pi$
$797$	18.3385	−	13.3237i	0.649584	−	0.471950i	0.863129	+	0.504983i	$0.168501\pi$
$798$	−50.5871	+	16.4367i	−1.79076	+	0.581854i
$799$		−	15.2617i		−	0.539919i
$800$	3.82624	−	3.21868i	0.135278	−	0.113798i
$801$		−	43.3016i		−	1.52999i
$802$	7.78406	+	23.9569i	0.274865	+	0.845947i
$803$	20.0311	−	14.5535i	0.706884	−	0.513581i
$804$	13.3454	+	18.3683i	0.470654	+	0.647800i
$805$	−3.11232	+	25.4784i	−0.109695	+	0.897994i
$806$	−1.01719	+	3.48329i	−0.0358290	+	0.122694i
$807$	64.0997			2.25642
$808$	7.74889	−	10.6654i	0.272605	−	0.375209i
$809$	−5.33606	+	16.4227i	−0.187606	+	0.577392i	−0.999984	−	0.00574009i	$-0.998173\pi$
$809$	−5.33606	+	16.4227i	−0.187606	+	0.577392i	0.812378	+	0.583132i	$0.198173\pi$
$810$	16.5563	−	17.7765i	0.581728	−	0.624602i
$811$	43.3355	−	14.0806i	1.52172	−	0.494436i	0.575454	−	0.817834i	$-0.304825\pi$
$811$	43.3355	−	14.0806i	1.52172	−	0.494436i	0.946263	+	0.323398i	$0.104825\pi$
$812$	−5.66632	−	1.84110i	−0.198849	−	0.0646099i
$813$	6.04545	+	1.96429i	0.212023	+	0.0688906i
$814$	10.4794	−	3.40496i	0.367302	−	0.119344i
$815$	−22.3530	+	24.0004i	−0.782991	+	0.840699i
$816$	3.97256	−	12.2263i	0.139067	−	0.428005i
$817$	6.01476	−	8.27861i	0.210430	−	0.289632i
$818$	13.0083			0.454825
$819$	−109.896	−	32.0920i	−3.84009	−	1.12139i
$820$	−3.19462	+	26.1520i	−0.111561	+	0.913268i
$821$	−30.3068	−	41.7137i	−1.05771	−	1.45582i	−0.881924	−	0.471391i	$-0.843752\pi$
$821$	−30.3068	−	41.7137i	−1.05771	−	1.45582i	−0.175790	−	0.984428i	$-0.556248\pi$
$822$	−47.2681	+	34.3423i	−1.64866	+	1.19782i
$823$	5.38905	+	16.5858i	0.187851	+	0.578145i	0.999986	−	0.00532454i	$-0.00169486\pi$
$823$	5.38905	+	16.5858i	0.187851	+	0.578145i	−0.812135	+	0.583469i	$0.801695\pi$
$824$		−	1.80007i		−	0.0627085i
$825$	−74.3687	+	5.29299i	−2.58919	+	0.184278i
$826$			33.0371i			1.14951i
$827$	−2.70878	+	0.880136i	−0.0941935	+	0.0306053i	−0.355735	−	0.934587i	$-0.615769\pi$
$827$	−2.70878	+	0.880136i	−0.0941935	+	0.0306053i	0.261541	+	0.965192i	$0.415769\pi$
$828$	11.2517	−	8.17481i	0.391022	−	0.284094i
$829$	40.6293	−	29.5189i	1.41111	−	1.02523i	0.417955	−	0.908468i	$-0.362747\pi$
$829$	40.6293	−	29.5189i	1.41111	−	1.02523i	0.993159	−	0.116767i	$-0.0372530\pi$
$830$	5.87606	+	5.47271i	0.203961	+	0.189961i
$831$	−48.1483	−	34.9818i	−1.67024	−	1.21350i
$832$	1.21667	+	3.39407i	0.0421803	+	0.117668i
$833$	−65.8510	−	47.8436i	−2.28160	−	1.65768i
$834$	−53.4152	−	17.3556i	−1.84962	−	0.600977i
$835$	5.34586	+	9.63010i	0.185001	+	0.333263i
$836$	−5.20251	−	16.0117i	−0.179932	−	0.553775i
$837$	9.29911	+	3.02147i	0.321424	+	0.104437i
$838$	2.68136	+	0.871227i	0.0926260	+	0.0300960i
$839$	−7.20844	+	2.34217i	−0.248863	+	0.0808605i	−0.430792	−	0.902451i	$-0.641766\pi$
$839$	−7.20844	+	2.34217i	−0.248863	+	0.0808605i	0.181929	+	0.983312i	$0.441766\pi$
$840$	−14.6562	+	31.4813i	−0.505688	+	1.08621i
$841$	−8.54294	+	26.2925i	−0.294584	+	0.906637i
$842$	17.5041	+	12.7175i	0.603233	+	0.438274i
$843$		−	44.1752i		−	1.52148i
$844$	0.792668	+	0.575907i	0.0272847	+	0.0198235i
$845$	10.6643	−	27.0421i	0.366863	−	0.930275i
$846$	18.0715	−	13.1297i	0.621311	−	0.451409i
$847$	39.6043	+	54.5107i	1.36082	+	1.87301i
$848$	0.675975	+	2.08044i	0.0232131	+	0.0714425i
$849$	−7.24596			−0.248681
$850$	7.96177	+	19.6360i	0.273086	+	0.673508i
$851$		−	5.02639i		−	0.172302i
$852$	38.1826	−	12.4063i	1.30812	−	0.425032i
$853$	−10.5874	−	14.5723i	−0.362506	−	0.498947i	0.588339	−	0.808615i	$-0.299782\pi$
$853$	−10.5874	−	14.5723i	−0.362506	−	0.498947i	−0.950845	+	0.309668i	$0.899782\pi$
$854$	−1.70812	+	1.24102i	−0.0584506	+	0.0424669i
$855$	−46.6246	+	9.09289i	−1.59453	+	0.310970i
$856$	−1.48342	+	2.04175i	−0.0507021	+	0.0697855i
$857$	−20.5993			−0.703660			−0.351830	−	0.936064i	$-0.614440\pi$
$857$	−20.5993			−0.703660			−0.351830	+	0.936064i	$0.614440\pi$
$858$	15.0706	−	51.6082i	0.514504	−	1.76188i
$859$	4.16655	−	12.8233i	0.142161	−	0.437527i	−0.854474	−	0.519494i	$-0.826120\pi$
$859$	4.16655	−	12.8233i	0.142161	−	0.437527i	0.996635	+	0.0819676i	$0.0261204\pi$
$860$	−1.27879	−	6.55711i	−0.0436064	−	0.223595i
$861$	−56.5439	−	174.024i	−1.92701	−	5.93073i
$862$	−1.35389	+	4.16684i	−0.0461137	+	0.141923i
$863$	−44.1041	−	14.3303i	−1.50132	−	0.487808i	−0.560917	−	0.827872i	$-0.689551\pi$
$863$	−44.1041	−	14.3303i	−1.50132	−	0.487808i	−0.940402	+	0.340063i	$0.889551\pi$
$864$	9.23961	−	3.00213i	0.314338	−	0.102135i
$865$	31.9359	+	3.90115i	1.08585	+	0.132643i
$866$	4.92509	+	1.60026i	0.167361	+	0.0543790i
$867$	2.35218	+	1.70896i	0.0798842	+	0.0580393i
$868$	−5.15229			−0.174880
$869$	−12.6507	+	17.4121i	−0.429144	+	0.590667i
$870$	−7.15685	−	3.33190i	−0.242640	−	0.112962i
$871$	15.1988	−	22.2982i	0.514991	−	0.755547i
$872$	−12.9964	+	9.44242i	−0.440113	+	0.319761i
$873$	−34.6234	+	11.2498i	−1.17182	+	0.380748i
$874$	−7.67992			−0.259777
$875$	−14.9165	−	55.2579i	−0.504269	−	1.86806i
$876$		−	15.2805i		−	0.516281i
$877$	−25.9390	+	8.42810i	−0.875898	+	0.284597i	−0.712253	−	0.701923i	$-0.752325\pi$
$877$	−25.9390	+	8.42810i	−0.875898	+	0.284597i	−0.163645	+	0.986519i	$0.552325\pi$
$878$	8.86168	+	12.1971i	0.299067	+	0.411631i
$879$	35.6366	+	49.0496i	1.20199	+	1.65440i
$880$	−9.96437	−	4.63895i	−0.335899	−	0.156379i
$881$	31.3251	+	22.7590i	1.05537	+	0.766772i	0.973226	−	0.229849i	$-0.0738232\pi$
$881$	31.3251	+	22.7590i	1.05537	+	0.766772i	0.0821443	+	0.996620i	$0.473823\pi$
$882$		−	119.135i		−	4.01149i
$883$	8.32567	+	6.04895i	0.280181	+	0.203563i	0.718996	−	0.695014i	$-0.244602\pi$
$883$	8.32567	+	6.04895i	0.280181	+	0.203563i	−0.438815	+	0.898577i	$0.644602\pi$
$884$	−15.2725	+	0.458912i	−0.513669	+	0.0154349i
$885$	−5.30793	+	43.4522i	−0.178424	+	1.46063i
$886$	−2.18696	+	0.710585i	−0.0734722	+	0.0238726i
$887$	−14.3569	+	44.1861i	−0.482059	+	1.48362i	0.354138	+	0.935193i	$0.384774\pi$
$887$	−14.3569	+	44.1861i	−0.482059	+	1.48362i	−0.836196	+	0.548430i	$0.815226\pi$
$888$	2.10137	−	6.46735i	0.0705173	−	0.217030i
$889$	91.6448	−	29.7772i	3.07367	−	0.998695i
$890$	2.98814	+	15.3219i	0.100163	+	0.513593i
$891$	−50.7870	−	16.5017i	−1.70143	−	0.552828i
$892$	0.288440	−	0.397004i	0.00965769	−	0.0132927i
$893$	−12.3349			−0.412770
$894$	4.72685	+	3.43426i	0.158090	+	0.114859i
$895$	3.32615	+	17.0551i	0.111181	+	0.570090i
$896$	−4.14162	+	3.00906i	−0.138362	+	0.100526i
$897$	−20.2655	−	13.8132i	−0.676644	−	0.461210i
$898$	1.91293	+	5.88741i	0.0638354	+	0.196465i
$899$		−	1.17130i		−	0.0390652i
$900$	−16.4016	+	26.3206i	−0.546720	+	0.877353i
$901$	−9.27006			−0.308830
$902$	55.0816	−	17.8971i	1.83402	−	0.595908i
$903$	27.2721	+	37.5368i	0.907558	+	1.24915i
$904$	−9.43537	−	12.9867i	−0.313816	−	0.431930i
$905$	−30.9460	+	17.1787i	−1.02868	+	0.571040i
$906$	9.98297	+	7.25305i	0.331662	+	0.240967i
$907$	−35.7629			−1.18749			−0.593744	−	0.804654i	$-0.702351\pi$
$907$	−35.7629			−1.18749			−0.593744	+	0.804654i	$0.702351\pi$
$908$	−5.99121	+	8.24619i	−0.198825	+	0.273659i
$909$	−25.2681	+	77.7672i	−0.838090	+	2.57938i
$910$	41.1006	+	3.77182i	1.36247	+	0.125035i
$911$	−0.439433	−	1.35244i	−0.0145591	−	0.0448082i	0.943513	−	0.331335i	$-0.107499\pi$
$911$	−0.439433	−	1.35244i	−0.0145591	−	0.0448082i	−0.958072	+	0.286527i	$0.907499\pi$
$912$	−9.88159	−	3.21072i	−0.327212	−	0.106318i
$913$	5.45468	−	16.7878i	0.180523	−	0.555594i
$914$	1.39217	+	4.28467i	0.0460490	+	0.141724i
$915$	−2.44600	+	1.35782i	−0.0808623	+	0.0448882i
$916$	−12.4152	−	4.03395i	−0.410211	−	0.133286i
$917$	−22.7329	+	31.2892i	−0.750708	+	1.03326i
$918$			41.1701i			1.35882i
$919$	33.9780	+	24.6864i	1.12083	+	0.814330i	0.984335	−	0.176310i	$-0.0564162\pi$
$919$	33.9780	+	24.6864i	1.12083	+	0.814330i	0.136495	+	0.990641i	$0.456416\pi$
$920$	−3.41719	+	3.66905i	−0.112662	+	0.120965i
$921$	43.4401	+	59.7902i	1.43140	+	1.97015i
$922$	−0.853266	+	0.619934i	−0.0281008	+	0.0204164i
$923$	−29.1944	−	37.7444i	−0.960947	−	1.24237i
$924$	76.3361			2.51127
$925$	4.21154	+	10.3869i	0.138475	+	0.341518i
$926$	−17.7156			−0.582169
$927$	3.45018	+	10.6186i	0.113319	+	0.348759i
$928$	−0.684070	−	0.941542i	−0.0224557	−	0.0309076i
$929$	18.2083	+	25.0616i	0.597395	+	0.822244i	0.995467	−	0.0951107i	$-0.0303205\pi$
$929$	18.2083	+	25.0616i	0.597395	+	0.822244i	−0.398072	+	0.917354i	$0.630321\pi$
$930$	−6.77657	−	0.827796i	−0.222213	−	0.0271445i
$931$	−38.6684	+	53.2225i	−1.26731	+	1.74430i
$932$	−12.8755			−0.421752
$933$	−66.7170	−	48.4727i	−2.18422	−	1.58693i
$934$	0.219749	+	0.0714008i	0.00719041	+	0.00233631i
$935$	31.7451	−	34.0848i	1.03818	−	1.11469i
$936$	−13.6824	−	17.6895i	−0.447225	−	0.578200i
$937$	−15.0979	+	46.4665i	−0.493227	+	1.51800i	0.326475	+	0.945206i	$0.394139\pi$
$937$	−15.0979	+	46.4665i	−0.493227	+	1.51800i	−0.819702	+	0.572790i	$0.805861\pi$
$938$	36.4399	+	11.8400i	1.18980	+	0.386591i
$939$	−3.05969	−	9.41675i	−0.0998491	−	0.307304i
$940$	−5.48842	+	5.89292i	−0.179012	+	0.192206i
$941$	54.0190	+	17.5518i	1.76097	+	0.572174i	0.997300	−	0.0734335i	$-0.0233957\pi$
$941$	54.0190	+	17.5518i	1.76097	+	0.572174i	0.763670	+	0.645607i	$0.223396\pi$
$942$	8.70572	−	11.9824i	0.283648	−	0.390408i
$943$		−	26.4196i		−	0.860341i
$944$	−3.79322	+	5.22092i	−0.123459	+	0.169926i
$945$	13.4847	−	110.390i	0.438658	−	3.59098i
$946$	−11.8810	+	8.63208i	−0.386286	+	0.280653i
$947$	−4.30932	−	5.93127i	−0.140034	−	0.192740i	0.733240	−	0.679970i	$-0.238007\pi$
$947$	−4.30932	−	5.93127i	−0.140034	−	0.192740i	−0.873274	+	0.487230i	$0.838007\pi$
$948$	4.10457	+	12.6326i	0.133310	+	0.410286i
$949$	−17.0964	+	6.12852i	−0.554974	+	0.198940i
$950$	15.8703	−	6.43490i	0.514900	−	0.208776i
$951$		−	9.08929i		−	0.294741i
$952$	−6.70393	−	20.6326i	−0.217276	−	0.668705i
$953$	31.1407	−	22.6250i	1.00875	−	0.732897i	0.0448005	−	0.998996i	$-0.485735\pi$
$953$	31.1407	−	22.6250i	1.00875	−	0.732897i	0.963946	+	0.266099i	$0.0857348\pi$
$954$	−7.97510	−	10.9768i	−0.258203	−	0.355386i
$955$	−36.3036	−	33.8116i	−1.17476	−	1.09412i
$956$	−5.83107	+	8.02578i	−0.188590	+	0.259572i
$957$			17.3540i			0.560975i
$958$	−4.10350	−	2.98137i	−0.132578	−	0.0963236i
$959$	−30.4685	+	93.7726i	−0.983881	+	3.02807i
$960$	−5.93074	+	3.29227i	−0.191414	+	0.106257i
$961$	9.26652	+	28.5194i	0.298920	+	0.919981i
$962$	−8.07870	+	0.242751i	−0.260468	+	0.00782661i
$963$	4.83722	−	14.8874i	0.155877	−	0.479741i
$964$	−0.970620	+	0.315373i	−0.0312616	+	0.0101575i
$965$	14.4387	+	6.72198i	0.464798	+	0.216388i
$966$	10.7607	−	33.1179i	0.346219	−	1.06555i
$967$	−20.7245	+	28.5248i	−0.666454	+	0.917295i	−0.999673	−	0.0255542i	$-0.991865\pi$
$967$	−20.7245	+	28.5248i	−0.666454	+	0.917295i	0.333220	+	0.942849i	$0.391865\pi$
$968$			13.1617i			0.423032i
$969$	25.8805	−	35.6215i	0.831402	−	1.14433i
$970$	11.4749	−	6.36994i	0.368437	−	0.204526i
$971$	−1.23326	+	0.896014i	−0.0395771	+	0.0287544i	−0.607398	−	0.794398i	$-0.707787\pi$
$971$	−1.23326	+	0.896014i	−0.0395771	+	0.0287544i	0.567821	+	0.823152i	$0.307787\pi$
$972$	−3.08304	+	2.23996i	−0.0988886	+	0.0718468i
$973$	−90.1413	+	29.2887i	−2.88980	+	0.938952i
$974$	33.1027			1.06068
$975$	53.4517	+	11.5644i	1.71183	+	0.370356i
$976$	−0.412428			−0.0132015
$977$	26.2799	−	8.53886i	0.840769	−	0.273182i	0.143194	−	0.989695i	$-0.454263\pi$
$977$	26.2799	−	8.53886i	0.840769	−	0.273182i	0.697574	+	0.716512i	$0.254263\pi$
$978$	35.9971	−	26.1534i	1.15106	−	0.836294i
$979$	27.7623	−	20.1705i	0.887287	−	0.644652i
$980$	8.22123	+	42.1551i	0.262618	+	1.34660i
$981$	58.5669	−	80.6104i	1.86990	−	2.57369i
$982$			22.3320i			0.712642i
$983$	−8.21334	+	11.3047i	−0.261965	+	0.360564i	−0.919657	−	0.392724i	$-0.871533\pi$
$983$	−8.21334	+	11.3047i	−0.261965	+	0.360564i	0.657692	+	0.753287i	$0.271533\pi$
$984$	11.0452	−	33.9936i	0.352107	−	1.08367i
$985$	41.8267	−	8.15719i	1.33271	−	0.259910i
$986$	4.69054	−	1.52405i	0.149377	−	0.0485356i
$987$	17.2829	−	53.1913i	0.550121	−	1.69310i
$988$	0.370904	+	12.3436i	0.0118000	+	0.392703i
$989$	2.07017	+	6.37132i	0.0658275	+	0.202596i
$990$	67.6708	+	8.26637i	2.15072	+	0.262722i
$991$	7.45571	−	22.9463i	0.236839	−	0.728914i	−0.760034	−	0.649884i	$-0.774818\pi$
$991$	7.45571	−	22.9463i	0.236839	−	0.728914i	0.996872	−	0.0790304i	$-0.0251824\pi$
$992$	−0.814227	−	0.591570i	−0.0258517	−	0.0187824i
$993$			71.3421i			2.26397i
$994$	39.8233	−	54.8121i	1.26312	−	1.73853i
$995$	−10.1658	+	21.8361i	−0.322279	+	0.692249i
$996$	−6.40318	−	8.81322i	−0.202892	−	0.279257i
$997$	28.7049	−	20.8553i	0.909093	−	0.660495i	−0.0316920	−	0.999498i	$-0.510090\pi$
$997$	28.7049	−	20.8553i	0.909093	−	0.660495i	0.940785	+	0.339003i	$0.110090\pi$
$998$	−3.36067	−	10.3431i	−0.106380	−	0.327404i
$999$			21.7778i			0.689018i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	650.2.p.a.181.17	✓	136
13.12	even	2	inner	650.2.p.a.181.34	yes	136
25.21	even	5	inner	650.2.p.a.571.34	yes	136
325.246	even	10	inner	650.2.p.a.571.17	yes	136

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
650.2.p.a.181.17	✓	136	1.1	even	1	trivial
650.2.p.a.181.34	yes	136	13.12	even	2	inner
650.2.p.a.571.17	yes	136	325.246	even	10	inner
650.2.p.a.571.34	yes	136	25.21	even	5	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:	\( N \)	\(=\)	\( 650 = 2 \cdot 5^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	650.p (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.951057 + 0.309017i) q^{2} +(2.45421 - 1.78309i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.943747 - 2.02715i) q^{5} +(-1.78309 + 2.45421i) q^{6} +5.11933i q^{7} +(-0.587785 + 0.809017i) q^{8} +(1.91669 - 5.89896i) q^{9} +O(q^{10})\)	\(q+(-0.951057 + 0.309017i) q^{2} +(2.45421 - 1.78309i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.943747 - 2.02715i) q^{5} +(-1.78309 + 2.45421i) q^{6} +5.11933i q^{7} +(-0.587785 + 0.809017i) q^{8} +(1.91669 - 5.89896i) q^{9} +(-0.271133 + 2.21957i) q^{10} +(4.67487 - 1.51896i) q^{11} +(0.937424 - 2.88509i) q^{12} +(-3.60392 + 0.108292i) q^{13} +(-1.58196 - 4.86877i) q^{14} +(-1.29843 - 6.65783i) q^{15} +(0.309017 - 0.951057i) q^{16} +(3.42840 + 2.49088i) q^{17} +6.20253i q^{18} +(2.01319 - 2.77092i) q^{19} +(-0.428022 - 2.19472i) q^{20} +(9.12820 + 12.5639i) q^{21} +(-3.97669 + 2.88923i) q^{22} +(0.692903 + 2.13254i) q^{23} +3.03357i q^{24} +(-3.21868 - 3.82624i) q^{25} +(3.39407 - 1.21667i) q^{26} +(-3.00213 - 9.23961i) q^{27} +(3.00906 + 4.14162i) q^{28} +(-0.941542 + 0.684070i) q^{29} +(3.29227 + 5.93074i) q^{30} +(-0.591570 + 0.814227i) q^{31} +1.00000i q^{32} +(8.76468 - 12.0635i) q^{33} +(-4.03033 - 1.30953i) q^{34} +(10.3776 + 4.83135i) q^{35} +(-1.91669 - 5.89896i) q^{36} +(-2.13193 - 0.692705i) q^{37} +(-1.05840 + 3.25741i) q^{38} +(-8.65169 + 6.69188i) q^{39} +(1.08528 + 1.95504i) q^{40} +(-11.2058 - 3.64099i) q^{41} +(-12.5639 - 9.12820i) q^{42} +2.98767 q^{43} +(2.88923 - 3.97669i) q^{44} +(-10.1492 - 9.45254i) q^{45} +(-1.31798 - 1.81404i) q^{46} +(-2.11683 - 2.91357i) q^{47} +(-0.937424 - 2.88509i) q^{48} -19.2075 q^{49} +(4.24352 + 2.64434i) q^{50} +12.8555 q^{51} +(-2.85198 + 2.20594i) q^{52} +(-1.76973 + 1.28578i) q^{53} +(5.71040 + 7.85969i) q^{54} +(1.33274 - 10.9102i) q^{55} +(-4.14162 - 3.00906i) q^{56} -10.3901i q^{57} +(0.684070 - 0.941542i) q^{58} +(-6.13756 - 1.99421i) q^{59} +(-4.96383 - 4.62310i) q^{60} +(-0.127447 - 0.392242i) q^{61} +(0.311007 - 0.957181i) q^{62} +(30.1987 + 9.81215i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-3.18167 + 7.40790i) q^{65} +(-4.60786 + 14.1815i) q^{66} +(-4.39923 + 6.05502i) q^{67} +4.23774 q^{68} +(5.50302 + 3.99818i) q^{69} +(-11.3627 - 1.38802i) q^{70} +(7.77901 + 10.7069i) q^{71} +(3.64576 + 5.01796i) q^{72} +(4.79061 - 1.55656i) q^{73} +2.24164 q^{74} +(-14.7218 - 3.65119i) q^{75} -3.42505i q^{76} +(7.77604 + 23.9322i) q^{77} +(6.16034 - 9.03787i) q^{78} +(-3.54233 + 2.57365i) q^{79} +(-1.63630 - 1.52398i) q^{80} +(-8.78902 - 6.38560i) q^{81} +11.7825 q^{82} +(2.11077 - 2.90523i) q^{83} +(14.7697 + 4.79898i) q^{84} +(8.28494 - 4.59913i) q^{85} +(-2.84145 + 0.923242i) q^{86} +(-1.09098 + 3.35770i) q^{87} +(-1.51896 + 4.67487i) q^{88} +(6.63958 - 2.15733i) q^{89} +(12.5735 + 5.85362i) q^{90} +(-0.554381 - 18.4497i) q^{91} +(1.81404 + 1.31798i) q^{92} +3.05310i q^{93} +(2.91357 + 2.11683i) q^{94} +(-3.71713 - 6.69610i) q^{95} +(1.78309 + 2.45421i) q^{96} +(-3.44995 - 4.74844i) q^{97} +(18.2674 - 5.93544i) q^{98} -30.4883i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 136 q + 34 q^{4} - 30 q^{9}+O(q^{10}) \) 136 * q + 34 * q^4 - 30 * q^9	\( 136 q + 34 q^{4} - 30 q^{9} - 4 q^{10} - 12 q^{13} + 8 q^{14} - 34 q^{16} + 4 q^{23} + 40 q^{25} + 4 q^{26} - 12 q^{27} + 16 q^{29} + 10 q^{30} - 18 q^{35} + 30 q^{36} - 24 q^{38} + 32 q^{39} + 4 q^{40} - 12 q^{42} + 24 q^{43} - 104 q^{49} + 84 q^{51} + 12 q^{52} + 4 q^{53} - 60 q^{55} - 8 q^{56} + 12 q^{61} + 18 q^{62} + 34 q^{64} + 26 q^{65} + 16 q^{66} + 84 q^{69} - 88 q^{74} - 214 q^{75} + 56 q^{78} - 8 q^{79} - 74 q^{81} + 160 q^{82} - 164 q^{87} - 16 q^{90} - 40 q^{91} + 16 q^{92} + 48 q^{94} - 4 q^{95}+O(q^{100}) \) 136 * q + 34 * q^4 - 30 * q^9 - 4 * q^10 - 12 * q^13 + 8 * q^14 - 34 * q^16 + 4 * q^23 + 40 * q^25 + 4 * q^26 - 12 * q^27 + 16 * q^29 + 10 * q^30 - 18 * q^35 + 30 * q^36 - 24 * q^38 + 32 * q^39 + 4 * q^40 - 12 * q^42 + 24 * q^43 - 104 * q^49 + 84 * q^51 + 12 * q^52 + 4 * q^53 - 60 * q^55 - 8 * q^56 + 12 * q^61 + 18 * q^62 + 34 * q^64 + 26 * q^65 + 16 * q^66 + 84 * q^69 - 88 * q^74 - 214 * q^75 + 56 * q^78 - 8 * q^79 - 74 * q^81 + 160 * q^82 - 164 * q^87 - 16 * q^90 - 40 * q^91 + 16 * q^92 + 48 * q^94 - 4 * q^95

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