LMFDB - Embedded newform 280.2.bf.a.109.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(109,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 3, 4]))

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

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

chi := DirichletCharacter("280.109");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bf (of order $6$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			109.19
Character	$\chi$	$=$	280.109
Dual form			280.2.bf.a.149.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.435810 + 1.34539i) q^{2} +(0.496594 - 0.860127i) q^{3} +(-1.62014 - 1.17267i) q^{4} +(-1.99653 + 1.00690i) q^{5} +(0.940784 + 1.04296i) q^{6} +(2.24690 - 1.39695i) q^{7} +(2.28377 - 1.66866i) q^{8} +(1.00679 + 1.74381i) q^{9} +O(q^{10})$	\(q+(-0.435810 + 1.34539i) q^{2} +(0.496594 - 0.860127i) q^{3} +(-1.62014 - 1.17267i) q^{4} +(-1.99653 + 1.00690i) q^{5} +(0.940784 + 1.04296i) q^{6} +(2.24690 - 1.39695i) q^{7} +(2.28377 - 1.66866i) q^{8} +(1.00679 + 1.74381i) q^{9} +(-0.484562 - 3.12493i) q^{10} +(4.85149 + 2.80101i) q^{11} +(-1.81319 + 0.811186i) q^{12} -0.618886 q^{13} +(0.900217 + 3.63175i) q^{14} +(-0.125406 + 2.21729i) q^{15} +(1.24970 + 3.79977i) q^{16} +(2.90093 + 1.67485i) q^{17} +(-2.78487 + 0.594552i) q^{18} +(-4.49969 + 2.59790i) q^{19} +(4.41542 + 0.709951i) q^{20} +(-0.0857557 - 2.62633i) q^{21} +(-5.88278 + 5.30643i) q^{22} +(5.30812 - 3.06464i) q^{23} +(-0.301152 - 2.79297i) q^{24} +(2.97230 - 4.02062i) q^{25} +(0.269717 - 0.832643i) q^{26} +4.97943 q^{27} +(-5.27844 - 0.371611i) q^{28} -4.58366i q^{29} +(-2.92847 - 1.13504i) q^{30} +(-2.45473 + 4.25171i) q^{31} +(-5.65680 + 0.0253619i) q^{32} +(4.81845 - 2.78193i) q^{33} +(-3.51758 + 3.17296i) q^{34} +(-3.07942 + 5.05145i) q^{35} +(0.413769 - 4.00584i) q^{36} +(-1.80615 - 3.12835i) q^{37} +(-1.53417 - 7.18601i) q^{38} +(-0.307336 + 0.532321i) q^{39} +(-2.87945 + 5.63106i) q^{40} +0.867614 q^{41} +(3.57081 + 1.02921i) q^{42} -6.04919 q^{43} +(-4.57544 - 10.2272i) q^{44} +(-3.76593 - 2.46784i) q^{45} +(1.80981 + 8.47708i) q^{46} +(-5.18795 + 2.99527i) q^{47} +(3.88888 + 0.812039i) q^{48} +(3.09708 - 6.27759i) q^{49} +(4.11394 + 5.75113i) q^{50} +(2.88117 - 1.66345i) q^{51} +(1.00268 + 0.725748i) q^{52} +(-1.85133 + 3.20660i) q^{53} +(-2.17008 + 6.69926i) q^{54} +(-12.5065 - 0.707346i) q^{55} +(2.80036 - 6.93960i) q^{56} +5.16040i q^{57} +(6.16680 + 1.99760i) q^{58} +(5.59954 + 3.23290i) q^{59} +(2.80332 - 3.44527i) q^{60} +(1.79408 - 1.03581i) q^{61} +(-4.65041 - 5.15550i) q^{62} +(4.69815 + 2.51172i) q^{63} +(2.43117 - 7.62164i) q^{64} +(1.23563 - 0.623157i) q^{65} +(1.64285 + 7.69508i) q^{66} +(5.74791 - 9.95567i) q^{67} +(-2.73587 - 6.11532i) q^{68} -6.08754i q^{69} +(-5.45412 - 6.34449i) q^{70} -5.50519 q^{71} +(5.20909 + 2.30246i) q^{72} +(-12.6470 - 7.30175i) q^{73} +(4.99599 - 1.06661i) q^{74} +(-1.98222 - 4.55318i) q^{75} +(10.3366 + 1.06768i) q^{76} +(14.8137 - 0.483700i) q^{77} +(-0.582238 - 0.645476i) q^{78} +(4.82542 + 8.35787i) q^{79} +(-6.32107 - 6.32804i) q^{80} +(-0.547608 + 0.948485i) q^{81} +(-0.378114 + 1.16728i) q^{82} +1.41813 q^{83} +(-2.94088 + 4.35559i) q^{84} +(-7.47822 - 0.422955i) q^{85} +(2.63629 - 8.13850i) q^{86} +(-3.94253 - 2.27622i) q^{87} +(15.7536 - 1.69863i) q^{88} +(-6.40158 - 11.0879i) q^{89} +(4.96143 - 3.99113i) q^{90} +(-1.39057 + 0.864551i) q^{91} +(-12.1937 - 1.25950i) q^{92} +(2.43801 + 4.22275i) q^{93} +(-1.76884 - 8.28518i) q^{94} +(6.36796 - 9.71752i) q^{95} +(-2.78732 + 4.87816i) q^{96} -10.5252i q^{97} +(7.09606 + 6.90261i) q^{98} +11.2801i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 2 q^{4} - 40 q^{9}+O(q^{10}) $ 88 * q - 2 * q^4 - 40 * q^9	$ 88 q - 2 q^{4} - 40 q^{9} + 6 q^{10} - 6 q^{14} + 4 q^{15} + 2 q^{16} - 24 q^{20} - 8 q^{24} - 2 q^{25} - 14 q^{26} + 14 q^{30} - 28 q^{31} + 24 q^{34} + 60 q^{36} - 16 q^{39} - 32 q^{40} - 16 q^{41} - 2 q^{44} - 42 q^{46} - 8 q^{49} - 12 q^{50} + 8 q^{54} - 28 q^{55} + 36 q^{56} + 10 q^{60} + 52 q^{64} - 12 q^{65} - 44 q^{66} - 48 q^{70} + 16 q^{71} - 42 q^{74} - 36 q^{76} - 4 q^{79} - 40 q^{80} - 20 q^{81} + 12 q^{84} - 24 q^{86} + 4 q^{89} - 96 q^{90} - 22 q^{94} - 34 q^{95} + 80 q^{96}+O(q^{100}) $ 88 * q - 2 * q^4 - 40 * q^9 + 6 * q^10 - 6 * q^14 + 4 * q^15 + 2 * q^16 - 24 * q^20 - 8 * q^24 - 2 * q^25 - 14 * q^26 + 14 * q^30 - 28 * q^31 + 24 * q^34 + 60 * q^36 - 16 * q^39 - 32 * q^40 - 16 * q^41 - 2 * q^44 - 42 * q^46 - 8 * q^49 - 12 * q^50 + 8 * q^54 - 28 * q^55 + 36 * q^56 + 10 * q^60 + 52 * q^64 - 12 * q^65 - 44 * q^66 - 48 * q^70 + 16 * q^71 - 42 * q^74 - 36 * q^76 - 4 * q^79 - 40 * q^80 - 20 * q^81 + 12 * q^84 - 24 * q^86 + 4 * q^89 - 96 * q^90 - 22 * q^94 - 34 * q^95 + 80 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$-1$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−0.435810	+	1.34539i	−0.308164	+	0.951333i
$2$	−0.435810	+	1.34539i	−0.308164	+	0.951333i
$3$	0.496594	−	0.860127i	0.286709	−	0.496594i	−0.686313	−	0.727306i	$-0.740772\pi$
$3$	0.496594	−	0.860127i	0.286709	−	0.496594i	0.973022	+	0.230712i	$0.0741054\pi$
$4$	−1.62014	−	1.17267i	−0.810070	−	0.586333i
$5$	−1.99653	+	1.00690i	−0.892878	+	0.450299i
$5$	−1.99653	+	1.00690i	−0.892878	+	0.450299i
$6$	0.940784	+	1.04296i	0.384073	+	0.425788i
$7$	2.24690	−	1.39695i	0.849247	−	0.527996i
$7$	2.24690	−	1.39695i	0.849247	−	0.527996i
$8$	2.28377	−	1.66866i	0.807433	−	0.589959i
$9$	1.00679	+	1.74381i	0.335596	+	0.581269i
$10$	−0.484562	−	3.12493i	−0.153232	−	0.988190i
$11$	4.85149	+	2.80101i	1.46278	+	0.844537i	0.999139	−	0.0414864i	$-0.0132093\pi$
$11$	4.85149	+	2.80101i	1.46278	+	0.844537i	0.463641	+	0.886023i	$0.346543\pi$
$12$	−1.81319	+	0.811186i	−0.523424	+	0.234169i
$13$	−0.618886			−0.171648			−0.0858241	−	0.996310i	$-0.527352\pi$
$13$	−0.618886			−0.171648			−0.0858241	+	0.996310i	$0.527352\pi$
$14$	0.900217	+	3.63175i	0.240593	+	0.970626i
$15$	−0.125406	+	2.21729i	−0.0323798	+	0.572503i
$16$	1.24970	+	3.79977i	0.312426	+	0.949942i
$17$	2.90093	+	1.67485i	0.703579	+	0.406212i	0.808679	−	0.588250i	$-0.200183\pi$
$17$	2.90093	+	1.67485i	0.703579	+	0.406212i	−0.105100	+	0.994462i	$0.533516\pi$
$18$	−2.78487	+	0.594552i	−0.656399	+	0.140137i
$19$	−4.49969	+	2.59790i	−1.03230	+	0.595998i	−0.917642	−	0.397407i	$-0.869910\pi$
$19$	−4.49969	+	2.59790i	−1.03230	+	0.595998i	−0.114656	+	0.993405i	$0.536577\pi$
$20$	4.41542	+	0.709951i	0.987319	+	0.158750i
$21$	−0.0857557	−	2.62633i	−0.0187134	−	0.573112i
$22$	−5.88278	+	5.30643i	−1.25421	+	1.13134i
$23$	5.30812	−	3.06464i	1.10682	−	0.639023i	0.168816	−	0.985648i	$-0.446006\pi$
$23$	5.30812	−	3.06464i	1.10682	−	0.639023i	0.938004	+	0.346625i	$0.112672\pi$
$24$	−0.301152	−	2.79297i	−0.0614723	−	0.570113i
$25$	2.97230	−	4.02062i	0.594461	−	0.804125i
$26$	0.269717	−	0.832643i	0.0528958	−	0.163295i
$27$	4.97943			0.958291
$28$	−5.27844	−	0.371611i	−0.997531	−	0.0702279i
$29$		−	4.58366i		−	0.851164i	−0.904920	−	0.425582i	$-0.860069\pi$
$29$		−	4.58366i		−	0.851164i	0.904920	−	0.425582i	$-0.139931\pi$
$30$	−2.92847	−	1.13504i	−0.534663	−	0.207229i
$31$	−2.45473	+	4.25171i	−0.440882	+	0.763630i	−0.997755	−	0.0669677i	$-0.978668\pi$
$31$	−2.45473	+	4.25171i	−0.440882	+	0.763630i	0.556873	+	0.830597i	$0.312001\pi$
$32$	−5.65680	+	0.0253619i	−0.999990	+	0.00448340i
$33$	4.81845	−	2.78193i	0.838784	−	0.484272i
$34$	−3.51758	+	3.17296i	−0.603260	+	0.544158i
$35$	−3.07942	+	5.05145i	−0.520517	+	0.853851i
$36$	0.413769	−	4.00584i	0.0689615	−	0.667640i
$37$	−1.80615	−	3.12835i	−0.296930	−	0.514298i	0.678502	−	0.734598i	$-0.262629\pi$
$37$	−1.80615	−	3.12835i	−0.296930	−	0.514298i	−0.975432	+	0.220301i	$0.929296\pi$
$38$	−1.53417	−	7.18601i	−0.248875	−	1.16573i
$39$	−0.307336	+	0.532321i	−0.0492131	+	0.0852395i
$40$	−2.87945	+	5.63106i	−0.455280	+	0.890348i
$41$	0.867614			0.135498			0.0677492	−	0.997702i	$-0.478418\pi$
$41$	0.867614			0.135498			0.0677492	+	0.997702i	$0.478418\pi$
$42$	3.57081	+	1.02921i	0.550988	+	0.158810i
$43$	−6.04919			−0.922492			−0.461246	−	0.887272i	$-0.652597\pi$
$43$	−6.04919			−0.922492			−0.461246	+	0.887272i	$0.652597\pi$
$44$	−4.57544	−	10.2272i	−0.689774	−	1.54181i
$45$	−3.76593	−	2.46784i	−0.561391	−	0.367884i
$46$	1.80981	+	8.47708i	0.266841	+	1.24988i
$47$	−5.18795	+	2.99527i	−0.756741	+	0.436904i	−0.828124	−	0.560544i	$-0.810592\pi$
$47$	−5.18795	+	2.99527i	−0.756741	+	0.436904i	0.0713836	+	0.997449i	$0.477259\pi$
$48$	3.88888	+	0.812039i	0.561311	+	0.117208i
$49$	3.09708	−	6.27759i	0.442440	−	0.896798i
$50$	4.11394	+	5.75113i	0.581799	+	0.813333i
$51$	2.88117	−	1.66345i	0.403445	−	0.232929i
$52$	1.00268	+	0.725748i	0.139047	+	0.100643i
$53$	−1.85133	+	3.20660i	−0.254300	+	0.440460i	−0.964705	−	0.263333i	$-0.915178\pi$
$53$	−1.85133	+	3.20660i	−0.254300	+	0.440460i	0.710405	+	0.703793i	$0.248512\pi$
$54$	−2.17008	+	6.69926i	−0.295311	+	0.911654i
$55$	−12.5065	−	0.707346i	−1.68638	−	0.0953786i
$56$	2.80036	−	6.93960i	0.374213	−	0.927343i
$57$			5.16040i			0.683512i
$58$	6.16680	+	1.99760i	0.809740	+	0.262298i
$59$	5.59954	+	3.23290i	0.728998	+	0.420887i	0.818056	−	0.575139i	$-0.195052\pi$
$59$	5.59954	+	3.23290i	0.728998	+	0.420887i	−0.0890575	+	0.996026i	$0.528385\pi$
$60$	2.80332	−	3.44527i	0.361907	−	0.444782i
$61$	1.79408	−	1.03581i	0.229708	−	0.132622i	−0.380729	−	0.924686i	$-0.624327\pi$
$61$	1.79408	−	1.03581i	0.229708	−	0.132622i	0.610437	+	0.792065i	$0.290994\pi$
$62$	−4.65041	−	5.15550i	−0.590602	−	0.654749i
$63$	4.69815	+	2.51172i	0.591912	+	0.316448i
$64$	2.43117	−	7.62164i	0.303896	−	0.952705i
$65$	1.23563	−	0.623157i	0.153261	−	0.0772931i
$66$	1.64285	+	7.69508i	0.202221	+	0.947199i
$67$	5.74791	−	9.95567i	0.702219	−	1.21628i	−0.265467	−	0.964120i	$-0.585526\pi$
$67$	5.74791	−	9.95567i	0.702219	−	1.21628i	0.967686	−	0.252159i	$-0.0811406\pi$
$68$	−2.73587	−	6.11532i	−0.331773	−	0.741592i
$69$		−	6.08754i		−	0.732854i
$70$	−5.45412	−	6.34449i	−0.651893	−	0.758311i
$71$	−5.50519			−0.653346			−0.326673	−	0.945137i	$-0.605928\pi$
$71$	−5.50519			−0.653346			−0.326673	+	0.945137i	$0.605928\pi$
$72$	5.20909	+	2.30246i	0.613897	+	0.271348i
$73$	−12.6470	−	7.30175i	−1.48022	−	0.854605i	−0.480471	−	0.877011i	$-0.659534\pi$
$73$	−12.6470	−	7.30175i	−1.48022	−	0.854605i	−0.999749	+	0.0224055i	$0.992868\pi$
$74$	4.99599	−	1.06661i	0.580772	−	0.123991i
$75$	−1.98222	−	4.55318i	−0.228887	−	0.525756i
$76$	10.3366	+	1.06768i	1.18569	+	0.122471i
$77$	14.8137	−	0.483700i	1.68817	−	0.0551227i
$78$	−0.582238	−	0.645476i	−0.0659255	−	0.0730858i
$79$	4.82542	+	8.35787i	0.542902	+	0.940334i	0.998736	+	0.0502687i	$0.0160078\pi$
$79$	4.82542	+	8.35787i	0.542902	+	0.940334i	−0.455834	+	0.890065i	$0.650659\pi$
$80$	−6.32107	−	6.32804i	−0.706717	−	0.707497i
$81$	−0.547608	+	0.948485i	−0.0608454	+	0.105387i
$82$	−0.378114	+	1.16728i	−0.0417558	+	0.128904i
$83$	1.41813			0.155660			0.0778299	−	0.996967i	$-0.475201\pi$
$83$	1.41813			0.155660			0.0778299	+	0.996967i	$0.475201\pi$
$84$	−2.94088	+	4.35559i	−0.320876	+	0.475233i
$85$	−7.47822	−	0.422955i	−0.811127	−	0.0458759i
$86$	2.63629	−	8.13850i	0.284279	−	0.877598i
$87$	−3.94253	−	2.27622i	−0.422683	−	0.244036i
$88$	15.7536	−	1.69863i	1.67934	−	0.181074i
$89$	−6.40158	−	11.0879i	−0.678566	−	1.17531i	−0.975413	−	0.220385i	$-0.929269\pi$
$89$	−6.40158	−	11.0879i	−0.678566	−	1.17531i	0.296847	−	0.954925i	$-0.404065\pi$
$90$	4.96143	−	3.99113i	0.522981	−	0.420702i
$91$	−1.39057	+	0.864551i	−0.145772	+	0.0906296i
$92$	−12.1937	−	1.25950i	−1.27128	−	0.131312i
$93$	2.43801	+	4.22275i	0.252810	+	0.437879i
$94$	−1.76884	−	8.28518i	−0.182441	−	0.854551i
$95$	6.36796	−	9.71752i	0.653339	−	0.996997i
$96$	−2.78732	+	4.87816i	−0.284480	+	0.497875i
$97$		−	10.5252i		−	1.06867i	−0.845272	−	0.534337i	$-0.820561\pi$
$97$		−	10.5252i		−	1.06867i	0.845272	−	0.534337i	$-0.179439\pi$
$98$	7.09606	+	6.90261i	0.716810	+	0.697269i
$99$			11.2801i			1.13369i
$100$	−9.53040	+	3.02845i	−0.953040	+	0.302845i
$101$	0.653170	+	0.377108i	0.0649928	+	0.0375236i	0.532144	−	0.846654i	$-0.321386\pi$
$101$	0.653170	+	0.377108i	0.0649928	+	0.0375236i	−0.467151	+	0.884177i	$0.654720\pi$
$102$	0.982337	+	4.60124i	0.0972659	+	0.455591i
$103$	−12.2642	+	7.08072i	−1.20842	+	0.697684i	−0.962415	−	0.271584i	$-0.912453\pi$
$103$	−12.2642	+	7.08072i	−1.20842	+	0.697684i	−0.246009	+	0.969268i	$0.579119\pi$
$104$	−1.41339	+	1.03271i	−0.138594	+	0.101265i
$105$	2.81567	+	5.15721i	0.274781	+	0.503293i
$106$	−3.50729	−	3.88822i	−0.340658	−	0.377657i
$107$	2.69207	+	4.66280i	0.260252	+	0.450770i	0.966309	−	0.257386i	$-0.0828610\pi$
$107$	2.69207	+	4.66280i	0.260252	+	0.450770i	−0.706057	+	0.708155i	$0.749528\pi$
$108$	−8.06737	−	5.83921i	−0.776283	−	0.561878i
$109$	−4.67810	−	2.70090i	−0.448081	−	0.258700i	0.258939	−	0.965894i	$-0.416627\pi$
$109$	−4.67810	−	2.70090i	−0.448081	−	0.258700i	−0.707019	+	0.707194i	$0.749961\pi$
$110$	6.40212	−	16.5179i	0.610418	−	1.57492i
$111$	−3.58770			−0.340530
$112$	8.11603	+	6.79191i	0.766893	+	0.641775i
$113$			17.4472i			1.64129i	0.571438	+	0.820645i	$0.306386\pi$
$113$			17.4472i			1.64129i	−0.571438	+	0.820645i	$0.693614\pi$
$114$	−6.94274	−	2.24895i	−0.650247	−	0.210634i
$115$	−7.51206	+	11.4634i	−0.700503	+	1.06897i
$116$	−5.37510	+	7.42617i	−0.499066	+	0.689502i
$117$	−0.623087	−	1.07922i	−0.0576045	−	0.0997738i
$118$	−6.78984	+	6.12463i	−0.625055	+	0.563818i
$119$	8.85777	−	0.289226i	0.811991	−	0.0265133i
$120$	3.41351	+	5.27304i	0.311609	+	0.481360i
$121$	10.1913	+	17.6519i	0.926484	+	1.60472i
$122$	0.611691	+	2.86515i	0.0553799	+	0.259398i
$123$	0.430852	−	0.746258i	0.0388486	−	0.0672878i
$124$	8.96284	−	4.00979i	0.804887	−	0.360090i
$125$	−1.88594	+	11.0201i	−0.168684	+	0.985670i
$126$	−5.42675	+	5.22621i	−0.483453	+	0.465588i
$127$		−	10.2705i		−	0.911357i	−0.890144	−	0.455678i	$-0.849397\pi$
$127$		−	10.2705i		−	0.911357i	0.890144	−	0.455678i	$-0.150603\pi$
$128$	9.19454	+	6.59245i	0.812690	+	0.582696i
$129$	−3.00399	+	5.20307i	−0.264487	+	0.458104i
$130$	0.299889	+	1.93398i	0.0263020	+	0.169621i
$131$	5.94464	−	3.43214i	0.519385	−	0.299867i	−0.217298	−	0.976105i	$-0.569724\pi$
$131$	5.94464	−	3.43214i	0.519385	−	0.299867i	0.736683	+	0.676238i	$0.236391\pi$
$132$	−11.0688	−	1.14332i	−0.963419	−	0.0995129i
$133$	−6.48120	+	12.1230i	−0.561992	+	1.05120i
$134$	10.8893	+	12.0720i	0.940688	+	1.04286i
$135$	−9.94160	+	5.01379i	−0.855637	+	0.431518i
$136$	9.41980	−	1.01569i	0.807741	−	0.0870945i
$137$	−14.1934	−	8.19457i	−1.21263	−	0.700110i	−0.249295	−	0.968428i	$-0.580199\pi$
$137$	−14.1934	−	8.19457i	−1.21263	−	0.700110i	−0.963330	+	0.268318i	$0.913532\pi$
$138$	8.19011	+	2.65301i	0.697188	+	0.225839i
$139$			2.07076i			0.175640i	0.996136	+	0.0878198i	$0.0279900\pi$
$139$			2.07076i			0.175640i	−0.996136	+	0.0878198i	$0.972010\pi$
$140$	10.9128	−	4.57293i	0.922297	−	0.386483i
$141$			5.94973i			0.501058i
$142$	2.39922	−	7.40662i	0.201338	−	0.621550i
$143$	−3.00252	−	1.73351i	−0.251084	−	0.144963i
$144$	−5.36788	+	6.00481i	−0.447323	+	0.500401i
$145$	4.61529	+	9.15143i	0.383279	+	0.759985i
$146$	15.3354	−	13.8330i	1.26916	−	1.14482i
$147$	−3.86153	−	5.78129i	−0.318494	−	0.476833i
$148$	−0.742291	+	7.18638i	−0.0610160	+	0.590717i
$149$	−2.74876	+	1.58700i	−0.225188	+	0.130012i	−0.608350	−	0.793669i	$-0.708168\pi$
$149$	−2.74876	+	1.58700i	−0.225188	+	0.130012i	0.383162	+	0.923681i	$0.374835\pi$
$150$	6.98966	−	0.682531i	0.570703	−	0.0557284i
$151$	2.57960	−	4.46800i	0.209925	−	0.363601i	−0.741766	−	0.670659i	$-0.766011\pi$
$151$	2.57960	−	4.46800i	0.209925	−	0.363601i	0.951691	+	0.307058i	$0.0993446\pi$
$152$	−5.94123	+	13.4414i	−0.481897	+	1.09024i
$153$			6.74489i			0.545292i
$154$	−5.80518	+	20.1409i	−0.467794	+	1.62300i
$155$	0.619898	−	10.9604i	0.0497914	−	0.880357i
$156$	1.12216	−	0.502032i	0.0898448	−	0.0401947i
$157$	11.0509	−	19.1407i	0.881957	−	1.52759i	0.0327956	−	0.999462i	$-0.489559\pi$
$157$	11.0509	−	19.1407i	0.881957	−	1.52759i	0.849162	−	0.528133i	$-0.177108\pi$
$158$	−13.3475	+	2.84962i	−1.06187	+	0.226704i
$159$	1.83872	+	3.18475i	0.145820	+	0.252567i
$160$	11.2685	−	5.74647i	0.890850	−	0.454298i
$161$	7.64565	−	14.3011i	0.602561	−	1.12708i
$162$	−1.03743	−	1.15011i	−0.0815081	−	0.0903608i
$163$	0.899519	+	1.55801i	0.0704558	+	0.122033i	0.899101	−	0.437741i	$-0.144221\pi$
$163$	0.899519	+	1.55801i	0.0704558	+	0.122033i	−0.828645	+	0.559774i	$0.810888\pi$
$164$	−1.40566	−	1.01742i	−0.109763	−	0.0794473i
$165$	−6.81907	+	10.4059i	−0.530864	+	0.810100i
$166$	−0.618034	+	1.90793i	−0.0479688	+	0.148084i
$167$			10.3168i			0.798341i	0.916877	+	0.399170i	$0.130702\pi$
$167$			10.3168i			0.798341i	−0.916877	+	0.399170i	$0.869298\pi$
$168$	−4.57829	−	5.85483i	−0.353223	−	0.451710i
$169$	−12.6170			−0.970537
$170$	3.82812	−	9.87678i	0.293603	−	0.757515i
$171$	−9.06046	−	5.23106i	−0.692871	−	0.400029i
$172$	9.80053	+	7.09368i	0.747283	+	0.540888i
$173$	−8.95060	−	15.5029i	−0.680501	−	1.17866i	−0.974828	−	0.222958i	$-0.928429\pi$
$173$	−8.95060	−	15.5029i	−0.680501	−	1.17866i	0.294327	−	0.955705i	$-0.404905\pi$
$174$	4.78059	−	4.31223i	0.362416	−	0.326909i
$175$	1.06186	−	13.1861i	0.0802690	−	0.996773i
$176$	−4.58026	+	21.9350i	−0.345250	+	1.65341i
$177$	5.56140	−	3.21088i	0.418020	−	0.241344i
$178$	17.7073	−	3.78041i	1.32722	−	0.283354i
$179$	−11.6580	−	6.73076i	−0.871361	−	0.503081i	−0.00356074	−	0.999994i	$-0.501133\pi$
$179$	−11.6580	−	6.73076i	−0.871361	−	0.503081i	−0.867800	+	0.496913i	$0.834467\pi$
$180$	3.20738	+	8.41442i	0.239064	+	0.627174i
$181$			15.2778i			1.13559i	0.823171	+	0.567794i	$0.192203\pi$
$181$			15.2778i			1.13559i	−0.823171	+	0.567794i	$0.807797\pi$
$182$	−0.557132	−	2.24764i	−0.0412974	−	0.166606i
$183$		−	2.05751i		−	0.152096i
$184$	7.00866	−	15.8564i	0.516685	−	1.16895i
$185$	6.75599	+	4.42724i	0.496710	+	0.325497i
$186$	−6.74375	+	1.43975i	−0.494476	+	0.105568i
$187$	9.38257	+	16.2511i	0.686121	+	1.18840i
$188$	11.9177	+	1.23099i	0.869184	+	0.0897793i
$189$	11.1883	−	6.95600i	0.813826	−	0.505974i
$190$	10.2986	+	12.8024i	0.747141	+	0.928782i
$191$	4.92835	+	8.53615i	0.356603	+	0.617654i	0.987391	−	0.158301i	$-0.0506016\pi$
$191$	4.92835	+	8.53615i	0.356603	+	0.617654i	−0.630788	+	0.775955i	$0.717268\pi$
$192$	−5.34827	−	5.87598i	−0.385978	−	0.424062i
$193$	−7.99296	−	4.61474i	−0.575346	−	0.332176i	0.183936	−	0.982938i	$-0.441116\pi$
$193$	−7.99296	−	4.61474i	−0.575346	−	0.332176i	−0.759282	+	0.650762i	$0.774450\pi$
$194$	14.1605	+	4.58699i	1.01667	+	0.329327i
$195$	0.0776122	−	1.37225i	0.00555793	−	0.0982691i
$196$	−12.3792	+	6.53873i	−0.884230	+	0.467052i
$197$	−1.26971			−0.0904629			−0.0452314	−	0.998977i	$-0.514403\pi$
$197$	−1.26971			−0.0904629			−0.0452314	+	0.998977i	$0.514403\pi$
$198$	−15.1761	−	4.91598i	−1.07852	−	0.349363i
$199$	0.543517	−	0.941399i	0.0385289	−	0.0667340i	−0.846118	−	0.532996i	$-0.821066\pi$
$199$	0.543517	−	0.941399i	0.0385289	−	0.0667340i	0.884647	+	0.466262i	$0.154399\pi$
$200$	0.0790016	−	14.1419i	0.00558626	−	0.999984i
$201$	−5.70876	−	9.88786i	−0.402665	−	0.697436i
$202$	−0.792014	+	0.714420i	−0.0557259	+	0.0502664i
$203$	−6.40313	−	10.2990i	−0.449411	−	0.722848i
$204$	−6.61857	−	0.683641i	−0.463393	−	0.0478645i
$205$	−1.73222	+	0.873600i	−0.120984	+	0.0610149i
$206$	−4.18147	−	19.5859i	−0.291337	−	1.36462i
$207$	10.6883	+	6.17089i	0.742888	+	0.428907i
$208$	−0.773425	−	2.35162i	−0.0536274	−	0.163056i
$209$	−29.1069			−2.01337
$210$	−8.16555	+	1.54060i	−0.563477	+	0.106312i
$211$		−	2.95783i		−	0.203625i	−0.994804	−	0.101813i	$-0.967536\pi$
$211$		−	2.95783i		−	0.203625i	0.994804	−	0.101813i	$-0.0324642\pi$
$212$	6.75968	−	3.02414i	0.464257	−	0.207699i
$213$	−2.73385	+	4.73516i	−0.187320	+	0.324448i
$214$	−7.44650	+	1.58978i	−0.509033	+	0.108675i
$215$	12.0774	−	6.09093i	0.823673	−	0.415398i
$216$	11.3718	−	8.30896i	0.773756	−	0.565353i
$217$	0.423901	+	12.9823i	0.0287762	+	0.881294i
$218$	5.67252	−	5.11678i	0.384192	−	0.346552i
$219$	−12.5609	+	7.25202i	−0.848784	+	0.490046i
$220$	19.4328	+	15.8120i	1.31016	+	1.06604i
$221$	−1.79535	−	1.03654i	−0.120768	−	0.0697255i
$222$	1.56356	−	4.82685i	0.104939	−	0.323957i
$223$		−	8.23675i		−	0.551574i	−0.961219	−	0.275787i	$-0.911062\pi$
$223$		−	8.23675i		−	0.551574i	0.961219	−	0.275787i	$-0.0889384\pi$
$224$	−12.6748	+	7.95923i	−0.846871	+	0.531799i
$225$	10.0037	+	1.13521i	0.666912	+	0.0756808i
$226$	−23.4732	−	7.60364i	−1.56141	−	0.505787i
$227$	9.12290	−	15.8013i	0.605508	−	1.04877i	−0.386463	−	0.922305i	$-0.626303\pi$
$227$	9.12290	−	15.8013i	0.605508	−	1.04877i	0.991971	−	0.126466i	$-0.0403633\pi$
$228$	6.05143	−	8.36057i	0.400766	−	0.553692i
$229$	18.0624	−	10.4283i	1.19360	−	0.689122i	0.234475	−	0.972122i	$-0.424663\pi$
$229$	18.0624	−	10.4283i	1.19360	−	0.689122i	0.959120	+	0.283000i	$0.0913295\pi$
$230$	−12.1489	−	15.1025i	−0.801076	−	0.995829i
$231$	6.94034	−	12.9818i	0.456641	−	0.854142i
$232$	−7.64855	−	10.4680i	−0.502152	−	0.687258i
$233$	8.54609	−	4.93409i	0.559873	−	0.323243i	−0.193221	−	0.981155i	$-0.561894\pi$
$233$	8.54609	−	4.93409i	0.559873	−	0.323243i	0.753095	+	0.657912i	$0.228560\pi$
$234$	1.72352	−	0.367960i	0.112670	−	0.0240543i
$235$	7.34200	−	11.2039i	0.478939	−	0.730862i
$236$	−5.28093	−	11.8041i	−0.343759	−	0.768384i
$237$	9.58510			0.622619
$238$	−3.47118	+	12.0432i	−0.225003	+	0.780644i
$239$	22.8439			1.47765			0.738824	−	0.673899i	$-0.235382\pi$
$239$	22.8439			1.47765			0.738824	+	0.673899i	$0.235382\pi$
$240$	−8.58192	+	2.29445i	−0.553961	+	0.148106i
$241$	−8.82951	+	15.2932i	−0.568759	+	0.985119i	0.427930	+	0.903812i	$0.359243\pi$
$241$	−8.82951	+	15.2932i	−0.568759	+	0.985119i	−0.996689	+	0.0813072i	$0.974091\pi$
$242$	−28.1901	+	6.01842i	−1.81213	+	0.386879i
$243$	8.01302	+	13.8790i	0.514035	+	0.890336i
$244$	−4.12131	−	0.425696i	−0.263840	−	0.0272524i
$245$	0.137478	+	15.6519i	0.00878318	+	0.999961i
$246$	0.816237	+	0.904890i	0.0520414	+	0.0576937i
$247$	2.78479	−	1.60780i	0.177192	−	0.102302i
$248$	1.48863	+	13.8060i	0.0945281	+	0.876682i
$249$	0.704235	−	1.21977i	0.0446291	−	0.0772998i
$250$	−14.0044	−	7.34000i	−0.885719	−	0.464223i
$251$		−	16.6713i		−	1.05228i	−0.850397	−	0.526142i	$-0.823638\pi$
$251$		−	16.6713i		−	1.05228i	0.850397	−	0.526142i	$-0.176362\pi$
$252$	−4.66625	−	9.57872i	−0.293946	−	0.603402i
$253$	34.3364			2.15871
$254$	13.8178	+	4.47597i	0.867004	+	0.280847i
$255$	−4.07744	+	6.22218i	−0.255339	+	0.389648i
$256$	−12.8765	+	9.49718i	−0.804780	+	0.593574i
$257$	−4.12126	+	2.37941i	−0.257077	+	0.148424i	−0.623001	−	0.782221i	$-0.714087\pi$
$257$	−4.12126	+	2.37941i	−0.257077	+	0.148424i	0.365923	+	0.930645i	$0.380753\pi$
$258$	−5.69098	−	6.30908i	−0.354305	−	0.392786i
$259$	−8.42838	−	4.50598i	−0.523714	−	0.279988i
$260$	−2.73265	−	0.439379i	−0.169472	−	0.0272491i
$261$	7.99302	−	4.61477i	0.494755	−	0.285647i
$262$	2.02683	+	9.49361i	0.125218	+	0.586517i
$263$	19.2993	+	11.1424i	1.19004	+	0.687072i	0.958316	−	0.285709i	$-0.0922292\pi$
$263$	19.2993	+	11.1424i	1.19004	+	0.687072i	0.231726	+	0.972781i	$0.425563\pi$
$264$	6.36211	−	14.3936i	0.391561	−	0.885866i
$265$	0.467521	−	8.26618i	0.0287196	−	0.507788i
$266$	−13.4856	−	14.0031i	−0.826855	−	0.858583i
$267$	−12.7159			−0.778203
$268$	−20.9871	+	9.38920i	−1.28199	+	0.573536i
$269$	18.5481	+	10.7087i	1.13090	+	0.652923i	0.944160	−	0.329487i	$-0.106876\pi$
$269$	18.5481	+	10.7087i	1.13090	+	0.652923i	0.186735	+	0.982410i	$0.440209\pi$
$270$	−2.41284	−	15.5604i	−0.146841	−	0.946974i
$271$	−11.2965	−	19.5662i	−0.686215	−	1.18856i	−0.973053	−	0.230581i	$-0.925937\pi$
$271$	−11.2965	−	19.5662i	−0.686215	−	1.18856i	0.286838	−	0.957979i	$-0.407396\pi$
$272$	−2.73875	+	13.1159i	−0.166061	+	0.795271i
$273$	0.0530730	+	1.62540i	0.00321212	+	0.0983737i
$274$	17.2105	−	15.5244i	1.03973	−	0.937862i
$275$	25.6819	−	11.1806i	1.54868	−	0.674214i
$276$	−7.13866	+	9.86267i	−0.429697	+	0.593663i
$277$	−13.7758	+	23.8605i	−0.827710	+	1.43364i	0.0721206	+	0.997396i	$0.477023\pi$
$277$	−13.7758	+	23.8605i	−0.827710	+	1.43364i	−0.899831	+	0.436240i	$0.856310\pi$
$278$	−2.78598	−	0.902458i	−0.167092	−	0.0541258i
$279$	−9.88556			−0.591833
$280$	1.39647	+	16.6748i	0.0834552	+	0.996512i
$281$	−12.6900			−0.757024			−0.378512	−	0.925596i	$-0.623564\pi$
$281$	−12.6900			−0.757024			−0.378512	+	0.925596i	$0.623564\pi$
$282$	−8.00470	−	2.59295i	−0.476673	−	0.154408i
$283$	−3.84898	+	6.66664i	−0.228798	+	0.396290i	−0.957452	−	0.288592i	$-0.906813\pi$
$283$	−3.84898	+	6.66664i	−0.228798	+	0.396290i	0.728654	+	0.684882i	$0.240146\pi$
$284$	8.91918	+	6.45575i	0.529256	+	0.383079i
$285$	−5.19601	−	10.3029i	−0.307785	−	0.610292i
$286$	3.64077	−	3.28408i	0.215283	−	0.194192i
$287$	1.94944	−	1.21201i	0.115072	−	0.0715427i
$288$	−5.73942	−	9.83883i	−0.338199	−	0.579759i
$289$	−2.88973	−	5.00516i	−0.169984	−	0.294421i
$290$	−14.3236	+	2.22107i	−0.841112	+	0.130426i
$291$	−9.05302	−	5.22676i	−0.530698	−	0.306398i
$292$	11.9274	+	26.6606i	0.697998	+	1.56019i
$293$	−28.8875			−1.68762			−0.843812	−	0.536639i	$-0.819694\pi$
$293$	−28.8875			−1.68762			−0.843812	+	0.536639i	$0.819694\pi$
$294$	9.46098	−	2.67571i	0.551775	−	0.156051i
$295$	−14.4349	−	0.816411i	−0.840431	−	0.0475333i
$296$	−9.34498	−	4.13057i	−0.543166	−	0.240084i
$297$	24.1577	+	13.9474i	1.40177	+	0.809312i
$298$	−0.937193	−	4.38979i	−0.0542901	−	0.254293i
$299$	−3.28512	+	1.89667i	−0.189984	+	0.109687i
$300$	−2.12789	+	9.70126i	−0.122854	+	0.560103i
$301$	−13.5919	+	8.45039i	−0.783423	+	0.487073i
$302$	4.88698	+	5.41777i	0.281214	+	0.311757i
$303$	0.648721	−	0.374539i	0.0372680	−	0.0215167i
$304$	−15.4947	−	13.8512i	−0.888681	−	0.794419i
$305$	−2.53898	+	3.87449i	−0.145381	+	0.221852i
$306$	−9.07450	−	2.93949i	−0.518754	−	0.168039i
$307$	−6.76419			−0.386053			−0.193026	−	0.981194i	$-0.561830\pi$
$307$	−6.76419			−0.386053			−0.193026	+	0.981194i	$0.561830\pi$
$308$	−24.5674	−	16.5878i	−1.39986	−	0.945179i
$309$			14.0650i			0.800129i
$310$	14.4758	+	5.61063i	0.822169	+	0.318663i
$311$	4.54839	−	7.87805i	0.257916	−	0.446723i	−0.707768	−	0.706445i	$-0.750298\pi$
$311$	4.54839	−	7.87805i	0.257916	−	0.446723i	0.965683	+	0.259722i	$0.0836310\pi$
$312$	0.186379	+	1.72853i	0.0105516	+	0.0978589i
$313$	24.7890	−	14.3119i	1.40116	−	0.808958i	0.406646	−	0.913586i	$-0.366698\pi$
$313$	24.7890	−	14.3119i	1.40116	−	0.808958i	0.994511	+	0.104628i	$0.0333650\pi$
$314$	20.9356	+	23.2095i	1.18146	+	1.30979i
$315$	−11.9091	−	0.284173i	−0.671001	−	0.0160114i
$316$	1.98315	−	19.1995i	0.111561	−	1.08006i
$317$	−4.33251	−	7.50412i	−0.243338	−	0.421473i	0.718325	−	0.695707i	$-0.244909\pi$
$317$	−4.33251	−	7.50412i	−0.243338	−	0.421473i	−0.961663	+	0.274234i	$0.911576\pi$
$318$	−5.08606	+	1.08584i	−0.285212	+	0.0608911i
$319$	12.8389	−	22.2376i	0.718839	−	1.24507i
$320$	2.82033	+	17.6648i	0.157661	+	0.987493i
$321$	5.34746			0.298466
$322$	15.9085	+	16.5189i	0.886545	+	0.920563i
$323$	−17.4044			−0.968405
$324$	1.99946	−	0.894517i	0.111081	−	0.0496954i
$325$	−1.83952	+	2.48831i	−0.102038	+	0.138027i
$326$	−2.48815	+	0.531205i	−0.137806	+	0.0294207i
$327$	−4.64624	+	2.68251i	−0.256937	+	0.148343i
$328$	1.98143	−	1.44775i	0.109406	−	0.0799386i
$329$	−7.47256	+	13.9773i	−0.411976	+	0.770596i
$330$	−11.0282	−	13.7093i	−0.607082	−	0.754672i
$331$	−3.59109	+	2.07332i	−0.197384	+	0.113960i	−0.595435	−	0.803404i	$-0.703020\pi$
$331$	−3.59109	+	2.07332i	−0.197384	+	0.113960i	0.398051	+	0.917364i	$0.369687\pi$
$332$	−2.29757	−	1.66299i	−0.126095	−	0.0912686i
$333$	3.63683	−	6.29917i	0.199297	−	0.345192i
$334$	−13.8802	−	4.49618i	−0.759488	−	0.246020i
$335$	−1.45153	+	25.6644i	−0.0793058	+	1.40220i
$336$	9.87228	−	3.60799i	0.538577	−	0.196832i
$337$		−	23.2470i		−	1.26634i	−0.774012	−	0.633171i	$-0.781753\pi$
$337$		−	23.2470i		−	1.26634i	0.774012	−	0.633171i	$-0.218247\pi$
$338$	5.49860	−	16.9747i	0.299085	−	0.923304i
$339$	15.0068	+	8.66416i	0.815056	+	0.470573i
$340$	11.6198	+	9.45471i	0.630171	+	0.512754i
$341$	−23.8182	+	13.7514i	−1.28983	+	0.744682i
$342$	10.9864	−	9.91009i	0.594079	−	0.535876i
$343$	−1.81064	−	18.4315i	−0.0977656	−	0.995209i
$344$	−13.8149	+	10.0940i	−0.744851	+	0.544233i
$345$	6.12955	+	12.1540i	0.330004	+	0.654349i
$346$	24.7582	−	5.28572i	1.33101	−	0.284162i
$347$	1.20910	−	2.09423i	0.0649081	−	0.112424i	−0.831745	−	0.555158i	$-0.812658\pi$
$347$	1.20910	−	2.09423i	0.0649081	−	0.112424i	0.896653	+	0.442734i	$0.145991\pi$
$348$	3.71820	+	8.31106i	0.199316	+	0.445520i
$349$		−	25.7692i		−	1.37939i	−0.724099	−	0.689696i	$-0.757744\pi$
$349$		−	25.7692i		−	1.37939i	0.724099	−	0.689696i	$-0.242256\pi$
$350$	17.2776	+	7.17523i	0.923527	+	0.383532i
$351$	−3.08170			−0.164489
$352$	−27.5150	−	15.7217i	−1.46655	−	0.837970i
$353$	14.3490	+	8.28442i	0.763722	+	0.440935i	0.830631	−	0.556824i	$-0.187980\pi$
$353$	14.3490	+	8.28442i	0.763722	+	0.440935i	−0.0669082	+	0.997759i	$0.521313\pi$
$354$	1.89616	+	8.88157i	0.100780	+	0.472050i
$355$	10.9913	−	5.54318i	0.583358	−	0.294201i
$356$	−2.63091	+	25.4708i	−0.139438	+	1.34995i
$357$	4.14995	−	7.76243i	0.219639	−	0.410832i
$358$	14.1362	−	12.7512i	0.747119	−	0.673923i
$359$	9.03231	+	15.6444i	0.476707	+	0.825681i	0.999644	−	0.0266907i	$-0.00849692\pi$
$359$	9.03231	+	15.6444i	0.476707	+	0.825681i	−0.522937	+	0.852372i	$0.675164\pi$
$360$	−12.7185	+	0.648080i	−0.670322	+	0.0341568i
$361$	3.99812	−	6.92494i	0.210427	−	0.364471i
$362$	−20.5545	−	6.65820i	−1.08032	−	0.349947i
$363$	20.2438			1.06253
$364$	3.26675	+	0.229985i	0.171224	+	0.0120545i
$365$	32.6023	+	1.84393i	1.70648	+	0.0965157i
$366$	2.76815	+	0.896683i	0.144694	+	0.0468704i
$367$	1.44470	+	0.834098i	0.0754127	+	0.0435396i	0.537232	−	0.843434i	$-0.319470\pi$
$367$	1.44470	+	0.834098i	0.0754127	+	0.0435396i	−0.461819	+	0.886974i	$0.652803\pi$
$368$	18.2785	+	16.3397i	0.952834	+	0.851767i
$369$	0.873503	+	1.51295i	0.0454727	+	0.0787611i
$370$	−8.90069	+	7.15999i	−0.462725	+	0.372230i
$371$	0.319701	+	9.79109i	0.0165981	+	0.508328i
$372$	1.00197	−	9.70042i	0.0519497	−	0.502943i
$373$	−5.67695	−	9.83277i	−0.293941	−	0.509122i	0.680797	−	0.732473i	$-0.261634\pi$
$373$	−5.67695	−	9.83277i	−0.293941	−	0.509122i	−0.974738	+	0.223351i	$0.928300\pi$
$374$	−25.9530	+	5.54082i	−1.34200	+	0.286509i
$375$	8.54216	+	7.09468i	0.441115	+	0.366368i
$376$	−6.84999	+	15.4974i	−0.353261	+	0.799217i
$377$			2.83676i			0.146101i
$378$	4.48257	+	18.0840i	0.230558	+	0.930142i
$379$			9.23716i			0.474481i	0.971451	+	0.237240i	$0.0762429\pi$
$379$			9.23716i			0.474481i	−0.971451	+	0.237240i	$0.923757\pi$
$380$	−21.7124	+	8.27625i	−1.11382	+	0.424563i
$381$	−8.83390	−	5.10026i	−0.452575	−	0.261294i
$382$	−13.6323	+	2.91041i	−0.697487	+	0.148909i
$383$	−12.2022	+	7.04496i	−0.623504	+	0.359980i	−0.778232	−	0.627977i	$-0.783883\pi$
$383$	−12.2022	+	7.04496i	−0.623504	+	0.359980i	0.154728	+	0.987957i	$0.450550\pi$
$384$	10.2363	−	4.63470i	0.522369	−	0.236513i
$385$	−29.0890	+	15.8816i	−1.48251	+	0.809402i
$386$	9.69203	−	8.74249i	0.493311	−	0.444981i
$387$	−6.09025	−	10.5486i	−0.309585	−	0.536216i
$388$	−12.3426	+	17.0523i	−0.626599	+	0.865701i
$389$	0.218365	+	0.126073i	0.0110715	+	0.00639215i	0.505526	−	0.862812i	$-0.331299\pi$
$389$	0.218365	+	0.126073i	0.0110715	+	0.00639215i	−0.494454	+	0.869204i	$0.664632\pi$
$390$	1.81239	+	0.702460i	0.0917739	+	0.0355704i
$391$	20.5313			1.03831
$392$	−3.40214	−	19.5045i	−0.171834	−	0.985126i
$393$		−	6.81752i		−	0.343898i
$394$	0.553351	−	1.70825i	0.0278774	−	0.0860603i
$395$	−18.0497	−	11.8281i	−0.908177	−	0.595134i
$396$	13.2278	−	18.2753i	0.664722	−	0.918370i
$397$	2.50917	+	4.34601i	0.125932	+	0.218120i	0.922097	−	0.386959i	$-0.126475\pi$
$397$	2.50917	+	4.34601i	0.125932	+	0.218120i	−0.796165	+	0.605079i	$0.793141\pi$
$398$	1.02968	+	1.14151i	0.0516131	+	0.0572189i
$399$	7.20881	+	11.5949i	0.360892	+	0.580470i
$400$	18.9919	+	6.26947i	0.949597	+	0.313474i
$401$	0.579359	+	1.00348i	0.0289318	+	0.0501114i	0.880129	−	0.474735i	$-0.157456\pi$
$401$	0.579359	+	1.00348i	0.0289318	+	0.0501114i	−0.851197	+	0.524846i	$0.824123\pi$
$402$	15.7910	−	3.37127i	0.787581	−	0.168144i
$403$	1.51920	−	2.63133i	0.0756766	−	0.131076i
$404$	−0.616005	−	1.37692i	−0.0306474	−	0.0685042i
$405$	0.138289	−	2.44507i	0.00687163	−	0.121497i
$406$	16.6467	−	4.12629i	0.826162	−	0.204784i
$407$		−	20.2362i		−	1.00307i
$408$	3.80420	−	8.60661i	0.188336	−	0.426091i
$409$	10.1404	−	17.5637i	0.501411	−	0.868470i	−0.498587	−	0.866839i	$-0.666148\pi$
$409$	10.1404	−	17.5637i	0.501411	−	0.868470i	0.999999	−	0.00163030i	$-0.000518942\pi$
$410$	−0.420413	−	2.71123i	−0.0207627	−	0.133898i
$411$	−14.0967	+	8.13876i	−0.695341	+	0.401455i
$412$	28.1730	+	2.91003i	1.38798	+	0.143367i
$413$	17.0978	−	0.558281i	0.841326	−	0.0274712i
$414$	−12.9603	+	11.6906i	−0.636965	+	0.574561i
$415$	−2.83134	+	1.42791i	−0.138985	+	0.0700935i
$416$	3.50092	−	0.0156962i	0.171646	−	0.000769568i
$417$	1.78112	+	1.02833i	0.0872216	+	0.0503574i
$418$	12.6851	−	39.1601i	0.620448	−	1.91538i
$419$		−	0.679768i		−	0.0332088i	−0.999862	−	0.0166044i	$-0.994714\pi$
$419$		−	0.679768i		−	0.0332088i	0.999862	−	0.0166044i	$-0.00528559\pi$
$420$	1.48592	−	11.6572i	0.0725055	−	0.568815i
$421$		−	18.6846i		−	0.910631i	−0.890330	−	0.455315i	$-0.849527\pi$
$421$		−	18.6846i		−	0.910631i	0.890330	−	0.455315i	$-0.150473\pi$
$422$	3.97943	+	1.28905i	0.193716	+	0.0627500i
$423$	−10.4463	−	6.03120i	−0.507918	−	0.293247i
$424$	1.12271	+	10.4123i	0.0545235	+	0.505668i
$425$	15.3564	−	6.68538i	0.744895	−	0.324289i
$426$	−5.17919	−	5.74172i	−0.250933	−	0.278187i
$427$	2.58413	−	4.83359i	0.125055	−	0.233914i
$428$	1.10638	−	10.7113i	0.0534791	−	0.517749i
$429$	−2.98207	+	1.72170i	−0.143976	+	0.0831245i
$430$	2.93121	+	18.9033i	0.141355	+	0.911598i
$431$	−13.5454	+	23.4614i	−0.652460	+	1.13009i	0.330064	+	0.943958i	$0.392930\pi$
$431$	−13.5454	+	23.4614i	−0.652460	+	1.13009i	−0.982524	+	0.186135i	$0.940404\pi$
$432$	6.22281	+	18.9207i	0.299395	+	0.910321i
$433$		−	5.73414i		−	0.275565i	−0.990462	−	0.137783i	$-0.956002\pi$
$433$		−	5.73414i		−	0.275565i	0.990462	−	0.137783i	$-0.0439975\pi$
$434$	−17.6509	−	5.08749i	−0.847272	−	0.244207i
$435$	10.1633	+	0.574819i	0.487294	+	0.0275605i
$436$	4.41192	+	9.86169i	0.211292	+	0.472289i
$437$	−15.9232	+	27.5799i	−0.761712	+	1.31932i
$438$	−4.28263	−	20.0597i	−0.204632	−	0.958491i
$439$	13.5474	+	23.4648i	0.646582	+	1.11991i	0.983934	+	0.178534i	$0.0571355\pi$
$439$	13.5474	+	23.4648i	0.646582	+	1.11991i	−0.337352	+	0.941379i	$0.609531\pi$
$440$	−29.7423	+	19.2537i	−1.41791	+	0.917883i
$441$	14.0650	−	0.919489i	0.669762	−	0.0437852i
$442$	2.17698	−	1.96370i	0.103549	−	0.0934038i
$443$	4.18768	+	7.25327i	0.198963	+	0.344613i	0.948192	−	0.317697i	$-0.102909\pi$
$443$	4.18768	+	7.25327i	0.198963	+	0.344613i	−0.749230	+	0.662310i	$0.769576\pi$
$444$	5.81258	+	4.20718i	0.275853	+	0.199664i
$445$	23.9453	+	15.6915i	1.13512	+	0.743850i
$446$	11.0816	+	3.58966i	0.524730	+	0.169975i
$447$			3.15238i			0.149103i
$448$	−5.18445	−	20.5212i	−0.244942	−	0.969538i
$449$	10.4367			0.492538			0.246269	−	0.969202i	$-0.420795\pi$
$449$	10.4367			0.492538			0.246269	+	0.969202i	$0.420795\pi$
$450$	−5.88700	+	12.9641i	−0.277516	+	0.611133i
$451$	4.20922	+	2.43020i	0.198204	+	0.114433i
$452$	20.4597	−	28.2668i	0.962343	−	1.32956i
$453$	−2.56203	−	4.43757i	−0.120375	−	0.208495i
$454$	17.2831	+	19.1602i	0.811134	+	0.899233i
$455$	1.90581	−	3.12628i	0.0893458	−	0.146562i
$456$	8.61094	+	11.7851i	0.403244	+	0.551890i
$457$	−17.9261	+	10.3496i	−0.838548	+	0.484136i	−0.856771	−	0.515698i	$-0.827533\pi$
$457$	−17.9261	+	10.3496i	−0.838548	+	0.484136i	0.0182221	+	0.999834i	$0.494199\pi$
$458$	6.15837	+	28.8457i	0.287762	+	1.34787i
$459$	14.4450	+	8.33981i	0.674234	+	0.389269i
$460$	25.6133	−	9.76320i	1.19423	−	0.455211i
$461$			3.32760i			0.154982i	0.996993	+	0.0774908i	$0.0246909\pi$
$461$			3.32760i			0.154982i	−0.996993	+	0.0774908i	$0.975309\pi$
$462$	14.4409	+	14.9951i	0.671853	+	0.697633i
$463$			12.5403i			0.582796i	0.956602	+	0.291398i	$0.0941204\pi$
$463$			12.5403i			0.582796i	−0.956602	+	0.291398i	$0.905880\pi$
$464$	17.4168	−	5.72822i	0.808556	−	0.265926i
$465$	−9.11946	−	5.97604i	−0.422905	−	0.277132i
$466$	2.91380	+	13.6481i	0.134979	+	0.632238i
$467$	16.0486	+	27.7969i	0.742639	+	1.28629i	0.951290	+	0.308298i	$0.0997595\pi$
$467$	16.0486	+	27.7969i	0.742639	+	1.28629i	−0.208651	+	0.977990i	$0.566907\pi$
$468$	−0.256076	+	2.47916i	−0.0118371	+	0.114599i
$469$	−0.992593	−	30.3989i	−0.0458337	−	1.40369i
$470$	11.8739	+	14.7606i	0.547702	+	0.680856i
$471$	−10.9756	−	19.0103i	−0.505730	−	0.875950i
$472$	18.1826	−	1.96054i	0.836923	−	0.0902411i
$473$	−29.3476	−	16.9438i	−1.34940	−	0.779079i
$474$	−4.17728	+	12.8957i	−0.191869	+	0.592318i
$475$	−2.92928	+	25.8133i	−0.134404	+	1.18439i
$476$	−14.6900	−	9.91863i	−0.673315	−	0.454620i
$477$	−7.45558			−0.341368
$478$	−9.95558	+	30.7339i	−0.455358	+	1.40574i
$479$	−8.04448	+	13.9334i	−0.367562	+	0.636635i	−0.989184	−	0.146682i	$-0.953141\pi$
$479$	−8.04448	+	13.9334i	−0.367562	+	0.636635i	0.621622	+	0.783317i	$0.286474\pi$
$480$	0.653163	−	12.5460i	0.0298127	−	0.572642i
$481$	1.11780	+	1.93609i	0.0509675	+	0.0882783i
$482$	−16.7273	−	18.5440i	−0.761905	−	0.844657i
$483$	−8.50397	−	13.6781i	−0.386944	−	0.622374i
$484$	4.18842	−	40.5496i	0.190383	−	1.84316i
$485$	10.5978	+	21.0140i	0.481223	+	0.954195i
$486$	−22.1647	+	4.73204i	−1.00541	+	0.214650i
$487$	−9.41588	−	5.43626i	−0.426674	−	0.246341i	0.271254	−	0.962508i	$-0.412562\pi$
$487$	−9.41588	−	5.43626i	−0.426674	−	0.246341i	−0.697929	+	0.716167i	$0.745895\pi$
$488$	2.36884	−	5.35924i	0.107232	−	0.242602i
$489$	1.78678			0.0808012
$490$	−21.1178	−	6.63628i	−0.954003	−	0.299796i
$491$		−	15.3735i		−	0.693798i	−0.937902	−	0.346899i	$-0.887235\pi$
$491$		−	15.3735i		−	0.693798i	0.937902	−	0.346899i	$-0.112765\pi$
$492$	−1.57315	+	0.703796i	−0.0709232	+	0.0317296i
$493$	7.67696	−	13.2969i	0.345753	−	0.598861i
$494$	0.949477	+	4.44733i	0.0427190	+	0.200095i
$495$	−11.3579	−	22.5211i	−0.510501	−	1.01225i
$496$	−19.2232	−	4.01401i	−0.863147	−	0.180234i
$497$	−12.3696	+	7.69046i	−0.554852	+	0.344964i
$498$	1.33415	+	1.47906i	0.0597848	+	0.0662781i
$499$	−26.6121	+	15.3645i	−1.19132	+	0.687809i	−0.958606	−	0.284736i	$-0.908094\pi$
$499$	−26.6121	+	15.3645i	−1.19132	+	0.687809i	−0.232715	+	0.972545i	$0.574761\pi$
$500$	15.9784	−	15.6426i	0.714577	−	0.699557i
$501$	8.87379	+	5.12328i	0.396452	+	0.228891i
$502$	22.4294	+	7.26552i	1.00107	+	0.324276i
$503$		−	4.34216i		−	0.193607i	−0.995303	−	0.0968037i	$-0.969138\pi$
$503$		−	4.34216i		−	0.193607i	0.995303	−	0.0968037i	$-0.0308619\pi$
$504$	14.9207	−	2.10342i	0.664620	−	0.0936938i
$505$	−1.68379	−	0.0952320i	−0.0749275	−	0.00423777i
$506$	−14.9641	+	46.1958i	−0.665237	+	2.05365i
$507$	−6.26552	+	10.8522i	−0.278262	+	0.481963i
$508$	−12.0438	+	16.6396i	−0.534359	+	0.738263i
$509$	−34.0746	+	19.6730i	−1.51033	+	0.871990i	−0.510404	+	0.859935i	$0.670504\pi$
$509$	−34.0746	+	19.6730i	−1.51033	+	0.871990i	−0.999927	+	0.0120556i	$0.996162\pi$
$510$	−6.59426	−	8.19742i	−0.291999	−	0.362988i
$511$	−38.6167	+	1.26092i	−1.70830	+	0.0557799i
$512$	−7.16570	−	21.4628i	−0.316682	−	0.948532i
$513$	−22.4059	+	12.9360i	−0.989243	+	0.571140i
$514$	−1.40515	−	6.58167i	−0.0619783	−	0.290305i
$515$	17.3563	−	26.4857i	0.764808	−	1.16710i
$516$	10.9684	−	4.90701i	0.482855	−	0.216019i
$517$	−33.5591			−1.47593
$518$	9.73546	−	9.37569i	0.427751	−	0.411944i
$519$	−17.7793			−0.780423
$520$	1.78205	−	3.48498i	0.0781481	−	0.152827i
$521$	5.24442	−	9.08359i	0.229762	−	0.397960i	−0.727975	−	0.685603i	$-0.759539\pi$
$521$	5.24442	−	9.08359i	0.229762	−	0.397960i	0.957738	+	0.287644i	$0.0928719\pi$
$522$	2.72522	+	12.7649i	0.119280	+	0.558704i
$523$	−3.98699	−	6.90567i	−0.174339	−	0.301964i	0.765593	−	0.643325i	$-0.222445\pi$
$523$	−3.98699	−	6.90567i	−0.174339	−	0.301964i	−0.939932	+	0.341361i	$0.889112\pi$
$524$	−13.6559	−	1.41054i	−0.596561	−	0.0616196i
$525$	−10.8144	−	7.46146i	−0.471978	−	0.325645i
$526$	−23.4017	+	21.1090i	−1.02036	+	0.920396i
$527$	−14.2420	+	8.22261i	−0.620391	+	0.358183i
$528$	16.5923	+	14.8324i	0.722089	+	0.645497i
$529$	7.28409	−	12.6164i	0.316700	−	0.548540i
$530$	10.9175	+	4.23148i	0.474225	+	0.183804i
$531$			13.0194i			0.564992i
$532$	24.7167	−	12.0407i	1.07161	−	0.522030i
$533$	−0.536954			−0.0232581
$534$	5.54173	−	17.1079i	0.239814	−	0.740331i
$535$	−10.0698	−	6.59880i	−0.435355	−	0.285291i
$536$	−3.48573	−	32.3277i	−0.150561	−	1.39634i
$537$	−11.5786	+	6.68491i	−0.499654	+	0.288475i
$538$	−22.4908	+	20.2874i	−0.969648	+	0.874651i
$539$	32.6090	−	21.7807i	1.40457	−	0.938162i
$540$	21.9863	+	3.53515i	0.946139	+	0.152129i
$541$	15.3002	−	8.83357i	0.657807	−	0.379785i	−0.133634	−	0.991031i	$-0.542665\pi$
$541$	15.3002	−	8.83357i	0.657807	−	0.379785i	0.791441	+	0.611246i	$0.209331\pi$
$542$	31.2472	−	6.67109i	1.34218	−	0.286548i
$543$	13.1408	+	7.58685i	0.563926	+	0.325583i
$544$	−16.4525	−	9.40073i	−0.705393	−	0.403053i
$545$	12.0595	+	0.682066i	0.516573	+	0.0292165i
$546$	−2.20992	−	0.636962i	−0.0945760	−	0.0272594i
$547$	−17.6318			−0.753881			−0.376940	−	0.926238i	$-0.623024\pi$
$547$	−17.6318			−0.753881			−0.376940	+	0.926238i	$0.623024\pi$
$548$	13.3858	+	29.9205i	0.571813	+	1.27814i
$549$	3.61251	+	2.08568i	0.154178	+	0.0890148i
$550$	3.84978	+	39.4248i	0.164155	+	1.68108i
$551$	11.9079	+	20.6250i	0.507292	+	0.878655i
$552$	−10.1580	−	13.9025i	−0.432354	−	0.591730i
$553$	22.5177	+	12.0384i	0.957550	+	0.511925i
$554$	−26.0979	−	28.9325i	−1.10879	−	1.22922i
$555$	7.16298	−	3.61246i	0.304051	−	0.153340i
$556$	2.42831	−	3.35492i	0.102983	−	0.142280i
$557$	−6.14648	+	10.6460i	−0.260435	+	0.451086i	−0.966357	−	0.257203i	$-0.917199\pi$
$557$	−6.14648	+	10.6460i	−0.260435	+	0.451086i	0.705923	+	0.708289i	$0.250533\pi$
$558$	4.30822	−	13.2999i	0.182382	−	0.563030i
$559$	3.74376			0.158344
$560$	−23.0427	−	5.38825i	−0.973732	−	0.227695i
$561$	18.6373			0.786868
$562$	5.53044	−	17.0730i	0.233288	−	0.720182i
$563$	−14.6920	+	25.4472i	−0.619193	+	1.07247i	0.370441	+	0.928856i	$0.379207\pi$
$563$	−14.6920	+	25.4472i	−0.619193	+	1.07247i	−0.989633	+	0.143617i	$0.954127\pi$
$564$	6.97705	−	9.63939i	0.293787	−	0.405892i
$565$	−17.5675	−	34.8339i	−0.739072	−	1.46547i
$566$	−7.29179	−	8.08376i	−0.306497	−	0.339786i
$567$	0.0945651	+	2.89613i	0.00397136	+	0.121626i
$568$	−12.5726	+	9.18628i	−0.527533	+	0.385448i
$569$	−13.1638	−	22.8003i	−0.551854	−	0.955839i	−0.998141	−	0.0609488i	$-0.980587\pi$
$569$	−13.1638	−	22.8003i	−0.551854	−	0.955839i	0.446287	−	0.894890i	$-0.352746\pi$
$570$	16.1259	−	2.50054i	0.675440	−	0.104736i
$571$	32.3761	+	18.6924i	1.35490	+	0.782251i	0.988931	−	0.148377i	$-0.0474049\pi$
$571$	32.3761	+	18.6924i	1.35490	+	0.782251i	0.365967	+	0.930628i	$0.380738\pi$
$572$	2.83168	+	6.32948i	0.118398	+	0.264649i
$573$	9.78957			0.408965
$574$	0.781040	+	3.15096i	0.0326000	+	0.131518i
$575$	3.45556	−	30.4510i	0.144107	−	1.26989i
$576$	15.7383	−	3.43389i	0.655765	−	0.143079i
$577$	−3.27473	−	1.89067i	−0.136329	−	0.0787095i	0.430284	−	0.902693i	$-0.358413\pi$
$577$	−3.27473	−	1.89067i	−0.136329	−	0.0787095i	−0.566613	+	0.823984i	$0.691747\pi$
$578$	7.99326	−	1.70651i	0.332476	−	0.0709815i
$579$	−7.93852	+	4.58331i	−0.329914	+	0.190476i
$580$	3.25417	−	20.2388i	0.135122	−	0.840370i
$581$	3.18639	−	1.98105i	0.132194	−	0.0821878i
$582$	10.9774	−	9.90195i	0.455029	−	0.410449i
$583$	−17.9634	+	10.3712i	−0.743969	+	0.429531i
$584$	−41.0669	+	4.42803i	−1.69936	+	0.183233i
$585$	2.33068	+	1.52731i	0.0963618	+	0.0631466i
$586$	12.5894	−	38.8649i	0.520065	−	1.60549i
$587$	−20.8492			−0.860537			−0.430268	−	0.902701i	$-0.641581\pi$
$587$	−20.8492			−0.860537			−0.430268	+	0.902701i	$0.641581\pi$
$588$	−0.523317	+	13.8948i	−0.0215812	+	0.573012i
$589$		−	25.5085i		−	1.05106i
$590$	7.38925	−	19.0647i	0.304211	−	0.784882i
$591$	−0.630529	+	1.09211i	−0.0259365	+	0.0449233i
$592$	9.62985	−	10.7725i	0.395784	−	0.442746i
$593$	−4.94556	+	2.85532i	−0.203090	+	0.117254i	−0.598096	−	0.801425i	$-0.704076\pi$
$593$	−4.94556	+	2.85532i	−0.203090	+	0.117254i	0.395006	+	0.918678i	$0.370742\pi$
$594$	−29.2929	+	26.4230i	−1.20190	+	1.08415i
$595$	−17.3936	+	9.49634i	−0.713069	+	0.389312i
$596$	6.31440	+	0.652224i	0.258648	+	0.0267161i
$597$	−0.539815	−	0.934987i	−0.0220932	−	0.0382665i
$598$	−1.12006	−	5.24635i	−0.0458028	−	0.214539i
$599$	−10.6046	+	18.3678i	−0.433294	+	0.750487i	−0.997155	−	0.0753830i	$-0.975982\pi$
$599$	−10.6046	+	18.3678i	−0.433294	+	0.750487i	0.563861	+	0.825870i	$0.309315\pi$
$600$	−12.1246	−	7.09075i	−0.494985	−	0.289479i
$601$	−1.50260			−0.0612924			−0.0306462	−	0.999530i	$-0.509757\pi$
$601$	−1.50260			−0.0612924			−0.0306462	+	0.999530i	$0.509757\pi$
$602$	−5.44558	−	21.9691i	−0.221945	−	0.895395i
$603$	23.1477			0.942648
$604$	−9.41880	+	4.21377i	−0.383245	+	0.171456i
$605$	−38.1210	−	24.9810i	−1.54984	−	1.01562i
$606$	0.221182	+	1.03601i	0.00898489	+	0.0420850i
$607$	−5.80882	+	3.35373i	−0.235773	+	0.136124i	−0.613232	−	0.789903i	$-0.710131\pi$
$607$	−5.80882	+	3.35373i	−0.235773	+	0.136124i	0.377460	+	0.926026i	$0.376798\pi$
$608$	25.3879	−	14.8099i	1.02962	−	0.600620i
$609$	−12.0382	+	0.393075i	−0.487813	+	0.0159282i
$610$	−4.10618	−	5.10445i	−0.166254	−	0.206673i
$611$	3.21075	−	1.85373i	0.129893	−	0.0749939i
$612$	7.90951	−	10.9277i	0.319723	−	0.441725i
$613$	−4.09066	+	7.08523i	−0.165220	+	0.286170i	−0.936733	−	0.350044i	$-0.886167\pi$
$613$	−4.09066	+	7.08523i	−0.165220	+	0.286170i	0.771513	+	0.636213i	$0.219500\pi$
$614$	2.94790	−	9.10046i	0.118968	−	0.367265i
$615$	−0.108804	+	1.92375i	−0.00438741	+	0.0775733i
$616$	33.0238	−	25.8236i	1.33057	−	1.04046i
$617$			20.5477i			0.827218i	0.910455	+	0.413609i	$0.135732\pi$
$617$			20.5477i			0.827218i	−0.910455	+	0.413609i	$0.864268\pi$
$618$	−18.9229	−	6.12966i	−0.761189	−	0.246571i
$619$	20.4044	+	11.7805i	0.820123	+	0.473498i	0.850459	−	0.526042i	$-0.176324\pi$
$619$	20.4044	+	11.7805i	0.820123	+	0.473498i	−0.0303360	+	0.999540i	$0.509658\pi$
$620$	−13.8572	+	17.0304i	−0.556517	+	0.683956i
$621$	26.4314	−	15.2602i	1.06066	−	0.612370i
$622$	8.61680	+	9.55269i	0.345502	+	0.383028i
$623$	−29.8728	−	15.9706i	−1.19683	−	0.639848i
$624$	−2.40677	−	0.502560i	−0.0963481	−	0.0201185i
$625$	−7.33082	−	23.9010i	−0.293233	−	0.956041i
$626$	8.45182	+	39.5881i	0.337803	+	1.58226i
$627$	−14.4543	+	25.0357i	−0.577251	+	0.999828i
$628$	−40.3497	+	18.0516i	−1.61013	+	0.720337i
$629$		−	12.1002i		−	0.482466i
$630$	5.57242	−	15.8985i	0.222011	−	0.633411i
$631$	−6.86358			−0.273235			−0.136617	−	0.990624i	$-0.543623\pi$
$631$	−6.86358			−0.273235			−0.136617	+	0.990624i	$0.543623\pi$
$632$	24.9665	+	11.0354i	0.993116	+	0.438966i
$633$	−2.54411	−	1.46884i	−0.101119	−	0.0583812i
$634$	11.9841	−	2.55853i	0.475950	−	0.101612i
$635$	10.3413	+	20.5054i	0.410383	+	0.813730i
$636$	0.755675	−	7.31595i	0.0299645	−	0.290096i
$637$	−1.91674	+	3.88511i	−0.0759440	+	0.153934i
$638$	24.3229	+	26.9646i	0.962952	+	1.06754i
$639$	−5.54256	−	9.59999i	−0.219260	−	0.379770i
$640$	−24.9952	−	3.90407i	−0.988021	−	0.154322i
$641$	−1.51456	+	2.62330i	−0.0598217	+	0.103614i	−0.894385	−	0.447297i	$-0.852387\pi$
$641$	−1.51456	+	2.62330i	−0.0598217	+	0.103614i	0.834564	+	0.550912i	$0.185720\pi$
$642$	−2.33048	+	7.19441i	−0.0919766	+	0.283941i
$643$	40.7484			1.60696			0.803481	−	0.595331i	$-0.202979\pi$
$643$	40.7484			1.60696			0.803481	+	0.595331i	$0.202979\pi$
$644$	−29.1574	+	14.2040i	−1.14896	+	0.559715i
$645$	0.758606	−	13.4128i	0.0298701	−	0.528129i
$646$	7.58500	−	23.4156i	0.298428	−	0.921276i
$647$	28.8890	+	16.6791i	1.13574	+	0.655721i	0.945373	−	0.325991i	$-0.105698\pi$
$647$	28.8890	+	16.6791i	1.13574	+	0.655721i	0.190370	+	0.981712i	$0.439031\pi$
$648$	0.332088	+	3.07989i	0.0130457	+	0.120989i
$649$	18.1108	+	31.3687i	0.710909	+	1.23133i
$650$	−2.54606	−	3.55930i	−0.0998648	−	0.139607i
$651$	11.3769	+	6.08232i	0.445896	+	0.238385i
$652$	0.369683	−	3.57903i	0.0144779	−	0.140166i
$653$	−14.4208	−	24.9775i	−0.564329	−	0.977446i	−0.997112	−	0.0759478i	$-0.975802\pi$
$653$	−14.4208	−	24.9775i	−0.564329	−	0.977446i	0.432783	−	0.901498i	$-0.357532\pi$
$654$	−1.58414	−	7.42005i	−0.0619446	−	0.290147i
$655$	−8.41286	+	12.8380i	−0.328717	+	0.501624i
$656$	1.08426	+	3.29673i	0.0423333	+	0.128716i
$657$		−	29.4053i		−	1.14721i
$658$	−15.5483	−	16.1450i	−0.606137	−	0.629396i
$659$			19.2434i			0.749615i	0.927103	+	0.374808i	$0.122291\pi$
$659$			19.2434i			0.749615i	−0.927103	+	0.374808i	$0.877709\pi$
$660$	23.2505	−	8.86255i	0.905026	−	0.344974i
$661$	−2.08593	−	1.20431i	−0.0811333	−	0.0468423i	0.458884	−	0.888496i	$-0.348249\pi$
$661$	−2.08593	−	1.20431i	−0.0811333	−	0.0468423i	−0.540018	+	0.841654i	$0.681583\pi$
$662$	−1.22439	−	5.73499i	−0.0475871	−	0.222897i
$663$	−1.78312	+	1.02948i	−0.0692506	+	0.0399818i
$664$	3.23867	−	2.36637i	0.125685	−	0.0918330i
$665$	0.733275	−	30.7300i	0.0284352	−	1.19166i
$666$	6.88987	+	7.63819i	0.266977	+	0.295974i
$667$	−14.0473	−	24.3306i	−0.543913	−	0.942085i
$668$	12.0982	−	16.7147i	0.468094	−	0.646712i
$669$	−7.08465	−	4.09033i	−0.273908	−	0.158141i
$670$	−33.8960	−	13.1377i	−1.30952	−	0.507553i
$671$	11.6053			0.448016
$672$	0.551711	+	14.8544i	0.0212827	+	0.573023i
$673$			9.93365i			0.382914i	0.981501	+	0.191457i	$0.0613213\pi$
$673$			9.93365i			0.382914i	−0.981501	+	0.191457i	$0.938679\pi$
$674$	31.2762	+	10.1312i	1.20471	+	0.390241i
$675$	14.8004	−	20.0204i	0.569667	−	0.770586i
$676$	20.4413	+	14.7955i	0.786203	+	0.569058i
$677$	4.69257	+	8.12777i	0.180350	+	0.312376i	0.942000	−	0.335613i	$-0.108944\pi$
$677$	4.69257	+	8.12777i	0.180350	+	0.312376i	−0.761650	+	0.647989i	$0.775610\pi$
$678$	−18.1968	+	16.4140i	−0.698842	+	0.630376i
$679$	−14.7032	−	23.6491i	−0.564256	−	0.907568i
$680$	−17.7843	+	11.5127i	−0.681996	+	0.441490i
$681$	−9.06076	−	15.6937i	−0.347209	−	0.601384i
$682$	−8.12082	−	38.0377i	−0.310962	−	1.45654i
$683$	9.47999	−	16.4198i	0.362742	−	0.628287i	−0.625669	−	0.780088i	$-0.715174\pi$
$683$	9.47999	−	16.4198i	0.362742	−	0.628287i	0.988411	+	0.151801i	$0.0485074\pi$
$684$	8.54492	+	19.0999i	0.326723	+	0.730305i
$685$	36.5888	+	2.06940i	1.39798	+	0.0790676i
$686$	25.5867	+	5.59663i	0.976904	+	0.213680i
$687$		−	20.7146i		−	0.790310i
$688$	−7.55970	−	22.9855i	−0.288211	−	0.876314i
$689$	1.14576	−	1.98452i	0.0436501	−	0.0756041i
$690$	−19.0232	+	2.94979i	−0.724199	+	0.112297i
$691$	40.7180	−	23.5086i	1.54899	−	0.894308i	0.550768	−	0.834658i	$-0.314335\pi$
$691$	40.7180	−	23.5086i	1.54899	−	0.894308i	0.998219	−	0.0596501i	$-0.0189985\pi$
$692$	−3.67851	+	35.6129i	−0.139836	+	1.35380i
$693$	15.7577	+	25.3452i	0.598585	+	0.962785i
$694$	2.29061	+	2.53940i	0.0869504	+	0.0963943i
$695$	−2.08505	−	4.13435i	−0.0790904	−	0.156825i
$696$	−12.8020	+	1.38038i	−0.485260	+	0.0523230i
$697$	2.51689	+	1.45313i	0.0953339	+	0.0550411i
$698$	34.6695	+	11.2305i	1.31226	+	0.425079i
$699$		−	9.80096i		−	0.370707i
$700$	−17.1832	+	20.1181i	−0.649465	+	0.760392i
$701$			20.2942i			0.766503i	0.923644	+	0.383251i	$0.125196\pi$
$701$			20.2942i			0.766503i	−0.923644	+	0.383251i	$0.874804\pi$
$702$	1.34304	−	4.14608i	0.0506896	−	0.156484i
$703$	16.2543	+	9.38440i	0.613041	+	0.353939i
$704$	33.1431	−	30.1666i	1.24913	−	1.13695i
$705$	−5.99078	−	11.8788i	−0.225626	−	0.447383i
$706$	−17.3992	+	15.6946i	−0.654828	+	0.590674i
$707$	1.99440	−	0.0651218i	0.0750073	−	0.00244916i
$708$	−12.7755	−	1.31960i	−0.480134	−	0.0495937i
$709$	−38.0199	+	21.9508i	−1.42787	+	0.824380i	−0.996952	−	0.0780115i	$-0.975143\pi$
$709$	−38.0199	+	21.9508i	−1.42787	+	0.824380i	−0.430916	+	0.902392i	$0.641810\pi$
$710$	2.66761	+	17.2033i	0.100114	+	0.645630i
$711$	−9.71634	+	16.8292i	−0.364391	+	0.631144i
$712$	−33.1215	−	14.6400i	−1.24128	−	0.548658i
$713$			30.0915i			1.12693i
$714$	8.63490	+	8.96624i	0.323153	+	0.335553i
$715$	7.74011	+	0.437767i	0.289464	+	0.0163716i
$716$	10.9947	+	24.5757i	0.410890	+	0.918438i
$717$	11.3441	−	19.6486i	0.423655	−	0.733791i
$718$	−24.9842	+	5.33397i	−0.932402	+	0.199062i
$719$	−19.8487	−	34.3790i	−0.740232	−	1.28212i	−0.952389	−	0.304884i	$-0.901382\pi$
$719$	−19.8487	−	34.3790i	−0.740232	−	1.28212i	0.212157	−	0.977236i	$-0.431951\pi$
$720$	4.67092	−	17.3937i	0.174075	−	0.648226i
$721$	−17.6649	+	33.0420i	−0.657876	+	1.23055i
$722$	7.57432	+	8.39698i	0.281887	+	0.312503i
$723$	8.76937	+	15.1890i	0.326136	+	0.564885i
$724$	17.9157	−	24.7521i	0.665833	−	0.919905i
$725$	−18.4292	−	13.6240i	−0.684442	−	0.505984i
$726$	−8.82246	+	27.2358i	−0.327432	+	1.01082i
$727$			17.6056i			0.652954i	0.945205	+	0.326477i	$0.105862\pi$
$727$			17.6056i			0.652954i	−0.945205	+	0.326477i	$0.894138\pi$
$728$	−1.73310	+	4.29482i	−0.0642330	+	0.159177i
$729$	12.6312			0.467823
$730$	−16.6892	+	43.0592i	−0.617695	+	1.59369i
$731$	−17.5483	−	10.1315i	−0.649046	−	0.374727i
$732$	−2.41277	+	3.33345i	−0.0891787	+	0.123208i
$733$	17.9474	+	31.0859i	0.662904	+	1.14818i	0.979849	+	0.199739i	$0.0640095\pi$
$733$	17.9474	+	31.0859i	0.662904	+	1.14818i	−0.316945	+	0.948444i	$0.602657\pi$
$734$	−1.75180	+	1.58017i	−0.0646601	+	0.0583253i
$735$	13.5309	+	7.65438i	0.499093	+	0.282336i
$736$	−29.9492	+	17.4707i	−1.10394	+	0.643978i
$737$	55.7719	−	32.1999i	2.05438	−	1.18610i
$738$	−2.41619	+	0.515842i	−0.0889411	+	0.0189884i
$739$	−43.9967	−	25.4015i	−1.61844	−	0.934409i	−0.987323	−	0.158725i	$-0.949262\pi$
$739$	−43.9967	−	25.4015i	−1.61844	−	0.934409i	−0.631121	−	0.775684i	$-0.717405\pi$
$740$	−5.75396	−	15.0953i	−0.211520	−	0.554913i
$741$		−	3.19370i		−	0.117324i
$742$	−13.3122	−	3.83693i	−0.488704	−	0.140858i
$743$			11.0439i			0.405160i	0.979266	+	0.202580i	$0.0649326\pi$
$743$			11.0439i			0.405160i	−0.979266	+	0.202580i	$0.935067\pi$
$744$	12.6142	+	5.57557i	0.462458	+	0.204410i
$745$	3.89005	−	5.93623i	0.142521	−	0.217487i
$746$	15.7030	−	3.35249i	0.574926	−	0.122743i
$747$	1.42775	+	2.47294i	0.0522388	+	0.0904803i
$748$	3.85604	−	37.3316i	0.140991	−	1.36498i
$749$	12.5625	+	6.71614i	0.459023	+	0.245403i
$750$	−13.2679	+	8.40059i	−0.484474	+	0.306746i
$751$	−9.33598	−	16.1704i	−0.340675	−	0.590066i	0.643883	−	0.765124i	$-0.277322\pi$
$751$	−9.33598	−	16.1704i	−0.340675	−	0.590066i	−0.984558	+	0.175058i	$0.943989\pi$
$752$	−17.8647	−	15.9698i	−0.651460	−	0.582359i
$753$	−14.3394	−	8.27888i	−0.522558	−	0.301699i
$754$	−3.81655	−	1.23629i	−0.138991	−	0.0450230i
$755$	−0.651434	+	11.5179i	−0.0237081	+	0.419180i
$756$	−26.2836	−	1.85041i	−0.955925	−	0.0672987i
$757$	−23.3197			−0.847569			−0.423784	−	0.905763i	$-0.639299\pi$
$757$	−23.3197			−0.847569			−0.423784	+	0.905763i	$0.639299\pi$
$758$	−12.4276	−	4.02564i	−0.451389	−	0.146218i
$759$	17.0513	−	29.5337i	0.618922	−	1.07200i
$760$	−1.67229	−	32.8185i	−0.0606604	−	1.19045i
$761$	8.14434	+	14.1064i	0.295232	+	0.511357i	0.975039	−	0.222034i	$-0.0712697\pi$
$761$	8.14434	+	14.1064i	0.295232	+	0.511357i	−0.679807	+	0.733391i	$0.737936\pi$
$762$	10.7117	−	9.66229i	0.388045	−	0.350028i
$763$	−14.2842	+	0.466412i	−0.517123	+	0.0168853i
$764$	2.02545	−	19.6091i	0.0732782	−	0.709431i
$765$	−6.79143	−	13.4664i	−0.245545	−	0.486879i
$766$	−4.16035	−	19.4870i	−0.150320	−	0.704093i
$767$	−3.46548	−	2.00080i	−0.125131	−	0.0722445i
$768$	1.77439	+	15.7916i	0.0640278	+	0.569832i
$769$	53.4036			1.92578			0.962892	−	0.269888i	$-0.0869867\pi$
$769$	53.4036			1.92578			0.962892	+	0.269888i	$0.0869867\pi$
$770$	−8.68967	−	46.0573i	−0.313154	−	1.65979i
$771$			4.72641i			0.170217i
$772$	7.53816	+	16.8496i	0.271304	+	0.606430i
$773$	3.87470	−	6.71117i	0.139363	−	0.241384i	−0.787893	−	0.615813i	$-0.788828\pi$
$773$	3.87470	−	6.71117i	0.139363	−	0.241384i	0.927256	+	0.374429i	$0.122161\pi$
$774$	16.8462	−	3.59656i	0.605523	−	0.129276i
$775$	9.79833	+	22.5069i	0.351967	+	0.808472i
$776$	−17.5630	−	24.0371i	−0.630474	−	0.862883i
$777$	−8.06120	+	5.01183i	−0.289194	+	0.179798i
$778$	−0.264783	+	0.238842i	−0.00949292	+	0.00856288i
$779$	−3.90399	+	2.25397i	−0.139875	+	0.0807568i
$780$	−1.73494	+	2.13223i	−0.0621208	+	0.0763460i
$781$	−26.7084	−	15.4201i	−0.955702	−	0.551775i
$782$	−8.94775	+	27.6226i	−0.319971	+	0.987782i
$783$		−	22.8240i		−	0.815663i
$784$	27.7238	+	3.92305i	0.990136	+	0.140109i
$785$	−2.79071	+	49.3422i	−0.0996047	+	1.76110i
$786$	9.17221	+	2.97114i	0.327162	+	0.105977i
$787$	−17.2215	+	29.8286i	−0.613882	+	1.06327i	0.376698	+	0.926336i	$0.377059\pi$
$787$	−17.2215	+	29.8286i	−0.613882	+	1.06327i	−0.990580	+	0.136938i	$0.956274\pi$
$788$	2.05710	+	1.48894i	0.0732812	+	0.0530414i
$789$	19.1678	−	11.0665i	0.682392	−	0.393979i
$790$	23.7796	−	19.1290i	0.846039	−	0.680580i
$791$	24.3728	+	39.2019i	0.866595	+	1.39386i
$792$	18.8226	+	25.7611i	0.668833	+	0.915381i
$793$	−1.11033	+	0.641049i	−0.0394289	+	0.0227643i
$794$	−6.94059	+	1.48177i	−0.246312	+	0.0525862i
$795$	−6.87780	−	4.50707i	−0.243930	−	0.159849i
$796$	−1.98452	+	0.887834i	−0.0703395	+	0.0314684i
$797$	7.70584			0.272955			0.136477	−	0.990643i	$-0.456422\pi$
$797$	7.70584			0.272955			0.136477	+	0.990643i	$0.456422\pi$
$798$	−18.7413	+	4.64548i	−0.663434	+	0.164448i
$799$	−20.0665			−0.709903
$800$	−16.7117	+	22.8192i	−0.590850	+	0.806782i
$801$	12.8901	−	22.3262i	0.455448	−	0.788859i
$802$	−1.60256	+	0.342137i	−0.0565883	+	0.0120813i
$803$	−40.9046	−	70.8488i	−1.44349	−	2.50020i
$804$	−2.34618	+	22.7142i	−0.0827434	+	0.801068i
$805$	−0.865019	+	36.2510i	−0.0304879	+	1.27768i
$806$	2.87807	+	3.19067i	0.101376	+	0.112386i
$807$	18.4217	−	10.6358i	0.648476	−	0.374398i
$808$	2.12095	−	0.228691i	0.0746148	−	0.00804532i
$809$	−16.7353	+	28.9864i	−0.588381	+	1.01911i	0.406064	+	0.913845i	$0.366901\pi$
$809$	−16.7353	+	28.9864i	−0.588381	+	1.01911i	−0.994445	+	0.105261i	$0.966432\pi$
$810$	3.22930	+	1.25164i	0.113466	+	0.0439781i
$811$			28.2717i			0.992753i	0.868107	+	0.496376i	$0.165336\pi$
$811$			28.2717i			0.992753i	−0.868107	+	0.496376i	$0.834664\pi$
$812$	−1.70334	+	24.1946i	−0.0597754	+	0.849062i
$813$	−22.4392			−0.786976
$814$	27.2256	+	8.81915i	0.954256	+	0.309111i
$815$	−3.36469	−	2.20490i	−0.117860	−	0.0772343i
$816$	9.92132	+	8.86897i	0.347316	+	0.310476i
$817$	27.2194	−	15.7152i	0.952288	−	0.549804i
$818$	19.2107	+	21.2972i	0.671687	+	0.744640i
$819$	−2.90762	−	1.55447i	−0.101601	−	0.0543177i
$820$	3.83088	+	0.615963i	0.133780	+	0.0215104i
$821$	19.7743	−	11.4167i	0.690129	−	0.398446i	−0.113531	−	0.993534i	$-0.536216\pi$
$821$	19.7743	−	11.4167i	0.690129	−	0.398446i	0.803660	+	0.595088i	$0.202883\pi$
$822$	−4.80629	−	22.5125i	−0.167639	−	0.785215i
$823$	29.9876	+	17.3133i	1.04530	+	0.603505i	0.921330	−	0.388781i	$-0.127104\pi$
$823$	29.9876	+	17.3133i	1.04530	+	0.603505i	0.123971	+	0.992286i	$0.460437\pi$
$824$	−16.1932	+	36.6354i	−0.564116	+	1.27625i
$825$	3.13679	−	27.6419i	0.109209	−	0.962368i
$826$	−6.70027	+	23.2464i	−0.233132	+	0.808847i
$827$	−27.8716			−0.969192			−0.484596	−	0.874738i	$-0.661033\pi$
$827$	−27.8716			−0.969192			−0.484596	+	0.874738i	$0.661033\pi$
$828$	−10.0801	−	22.5315i	−0.350309	−	0.783025i
$829$	38.7597	+	22.3779i	1.34618	+	0.777217i	0.987706	−	0.156323i	$-0.0499641\pi$
$829$	38.7597	+	22.3779i	1.34618	+	0.777217i	0.358473	+	0.933540i	$0.383297\pi$
$830$	−0.687172	−	4.43156i	−0.0238521	−	0.153822i
$831$	13.6820	+	23.6979i	0.474624	+	0.822072i
$832$	−1.50462	+	4.71693i	−0.0521632	+	0.163530i
$833$	19.4985	−	13.0237i	0.675581	−	0.451244i
$834$	−2.15973	+	1.94814i	−0.0747853	+	0.0674585i
$835$	−10.3880	−	20.5979i	−0.359493	−	0.712821i
$836$	47.1573	+	34.1327i	1.63097	+	1.18051i
$837$	−12.2231	+	21.1711i	−0.422493	+	0.731780i
$838$	0.914552	+	0.296250i	0.0315927	+	0.0102338i
$839$	38.5778			1.33185			0.665927	−	0.746017i	$-0.268036\pi$
$839$	38.5778			1.33185			0.665927	+	0.746017i	$0.268036\pi$
$840$	15.0359	+	7.07948i	0.518789	+	0.244265i
$841$	7.99008			0.275520
$842$	25.1380	+	8.14292i	0.866313	+	0.280624i
$843$	−6.30180	+	10.9150i	−0.217045	+	0.375934i
$844$	−3.46855	+	4.79210i	−0.119392	+	0.164951i
$845$	25.1902	−	12.7040i	0.866571	−	0.437032i
$846$	12.6669	−	11.4259i	0.435498	−	0.392831i
$847$	47.5576	+	25.4252i	1.63410	+	0.873621i
$848$	−14.4979	−	3.02732i	−0.497861	−	0.103959i
$849$	3.82277	+	6.62123i	0.131197	+	0.227240i
$850$	2.30196	+	23.5739i	0.0789565	+	0.808577i
$851$	−19.1746	−	11.0704i	−0.657296	−	0.379490i
$852$	9.98198	−	4.46573i	0.341977	−	0.152993i
$853$	−10.4968			−0.359404			−0.179702	−	0.983721i	$-0.557513\pi$
$853$	−10.4968			−0.359404			−0.179702	+	0.983721i	$0.557513\pi$
$854$	5.37686	+	5.58318i	0.183992	+	0.191053i
$855$	23.3567	+	1.32101i	0.798782	+	0.0451777i
$856$	13.9287	+	6.15660i	0.476072	+	0.210428i
$857$	−31.7364	−	18.3230i	−1.08410	−	0.625903i	−0.152098	−	0.988365i	$-0.548603\pi$
$857$	−31.7364	−	18.3230i	−1.08410	−	0.625903i	−0.931998	+	0.362462i	$0.881936\pi$
$858$	−1.01674	−	4.76238i	−0.0347109	−	0.162585i
$859$	−8.04491	+	4.64473i	−0.274489	+	0.158476i	−0.630926	−	0.775843i	$-0.717325\pi$
$859$	−8.04491	+	4.64473i	−0.274489	+	0.158476i	0.356437	+	0.934319i	$0.383991\pi$
$860$	−26.7097	−	4.29463i	−0.910794	−	0.146446i
$861$	−0.0744028	−	2.27864i	−0.00253564	−	0.0776558i
$862$	−25.6614	−	28.4485i	−0.874031	−	0.968961i
$863$	36.2972	−	20.9562i	1.23557	−	0.713356i	0.267384	−	0.963590i	$-0.413841\pi$
$863$	36.2972	−	20.9562i	1.23557	−	0.713356i	0.968185	+	0.250234i	$0.0805075\pi$
$864$	−28.1676	+	0.126288i	−0.958282	+	0.00429640i
$865$	33.4800	+	21.9397i	1.13836	+	0.745972i
$866$	7.71464	+	2.49899i	0.262154	+	0.0849193i
$867$	−5.74010			−0.194944
$868$	14.5371	−	21.5302i	0.493421	−	0.730782i
$869$			54.0642i			1.83400i
$870$	−5.20263	+	13.4231i	−0.176386	+	0.455086i
$871$	−3.55730	+	6.16143i	−0.120535	+	0.208772i
$872$	−15.1906	+	1.63792i	−0.514417	+	0.0554669i
$873$	18.3540	−	10.5967i	0.621187	−	0.358643i
$874$	−30.1661	−	33.4425i	−1.02038	−	1.13121i
$875$	11.1570	+	27.3956i	0.377176	+	0.926142i
$876$	28.8545	+	2.98043i	0.974905	+	0.100699i
$877$	11.8308	+	20.4916i	0.399498	+	0.691951i	0.993664	−	0.112392i	$-0.0358511\pi$
$877$	11.8308	+	20.4916i	0.399498	+	0.691951i	−0.594166	+	0.804343i	$0.702518\pi$
$878$	−37.4733	+	8.00033i	−1.26466	+	0.269998i
$879$	−14.3454	+	24.8469i	−0.483857	+	0.838065i
$880$	−12.9417	−	48.4058i	−0.436265	−	1.63176i
$881$	−32.1885			−1.08446			−0.542229	−	0.840231i	$-0.682420\pi$
$881$	−32.1885			−1.08446			−0.542229	+	0.840231i	$0.682420\pi$
$882$	−4.89260	+	19.3236i	−0.164742	+	0.650660i
$883$	18.3846			0.618693			0.309346	−	0.950949i	$-0.399890\pi$
$883$	18.3846			0.618693			0.309346	+	0.950949i	$0.399890\pi$
$884$	1.69319	+	3.78469i	0.0569482	+	0.127293i
$885$	−7.87050	+	12.0104i	−0.264564	+	0.403725i
$886$	−11.5835	+	2.47301i	−0.389155	+	0.0830823i
$887$	−19.5061	+	11.2618i	−0.654951	+	0.378136i	−0.790350	−	0.612655i	$-0.790101\pi$
$887$	−19.5061	+	11.2618i	−0.654951	+	0.378136i	0.135400	+	0.990791i	$0.456768\pi$
$888$	−8.19347	+	5.98665i	−0.274955	+	0.200899i
$889$	−14.3473	−	23.0767i	−0.481193	−	0.773967i
$890$	−31.5468	+	25.3772i	−1.05745	+	0.850647i
$891$	−5.31344	+	3.06771i	−0.178007	+	0.102772i
$892$	−9.65897	+	13.3447i	−0.323406	+	0.446813i
$893$	15.5628	−	26.9555i	0.520788	−	0.902032i
$894$	−4.24118	−	1.37384i	−0.141846	−	0.0459480i
$895$	30.0528	+	1.69974i	1.00456	+	0.0568159i
$896$	29.8685	+	1.96826i	0.997836	+	0.0657548i
$897$			3.76750i			0.125793i
$898$	−4.54841	+	14.0414i	−0.151782	+	0.468568i
$899$	19.4884	+	11.2516i	0.649974	+	0.375263i
$900$	−14.8761	−	13.5702i	−0.495871	−	0.452339i
$901$	−10.7412	+	6.20141i	−0.357840	+	0.206599i
$902$	−5.10398	+	4.60393i	−0.169944	+	0.153294i
$903$	0.518752	+	15.8872i	0.0172630	+	0.528692i
$904$	29.1133	+	39.8452i	0.968295	+	1.32523i
$905$	−15.3832	−	30.5026i	−0.511354	−	1.01394i
$906$	7.08682	−	1.51299i	0.235444	−	0.0502658i
$907$	15.9518	−	27.6293i	0.529670	−	0.917416i	−0.469731	−	0.882810i	$-0.655649\pi$
$907$	15.9518	−	27.6293i	0.529670	−	0.917416i	0.999401	−	0.0346062i	$-0.0110177\pi$
$908$	−33.3101	+	14.9022i	−1.10543	+	0.494548i
$909$			1.51867i			0.0503711i
$910$	3.37548	+	3.92652i	0.111896	+	0.130163i
$911$	46.2242			1.53148			0.765738	−	0.643153i	$-0.222374\pi$
$911$	46.2242			1.53148			0.765738	+	0.643153i	$0.222374\pi$
$912$	−19.6083	+	6.44898i	−0.649297	+	0.213547i
$913$	6.88004	+	3.97219i	0.227696	+	0.131460i
$914$	−6.11192	−	28.6281i	−0.202164	−	0.946932i
$915$	2.07171	+	4.10789i	0.0684885	+	0.135803i
$916$	−41.4925	−	4.28582i	−1.37095	−	0.141607i
$917$	8.56246	−	16.0160i	0.282757	−	0.528895i
$918$	−17.5155	+	15.7995i	−0.578099	+	0.521462i
$919$	−9.24988	−	16.0213i	−0.305125	−	0.528493i	0.672164	−	0.740402i	$-0.265365\pi$
$919$	−9.24988	−	16.0213i	−0.305125	−	0.528493i	−0.977289	+	0.211910i	$0.932032\pi$
$920$	1.97274	+	38.7148i	0.0650394	+	1.27639i
$921$	−3.35906	+	5.81806i	−0.110685	+	0.191712i
$922$	−4.47691	−	1.45020i	−0.147439	−	0.0477598i
$923$	3.40709			0.112146
$924$	−26.4677	+	12.8937i	−0.870723	+	0.424171i
$925$	−17.9464	−	2.03654i	−0.590073	−	0.0669611i
$926$	−16.8715	−	5.46517i	−0.554433	−	0.179597i
$927$	−24.6948	−	14.2576i	−0.811085	−	0.468280i
$928$	0.116251	+	25.9288i	0.00381611	+	0.851155i
$929$	−10.7503	−	18.6201i	−0.352706	−	0.610904i	0.634017	−	0.773319i	$-0.281405\pi$
$929$	−10.7503	−	18.6201i	−0.352706	−	0.610904i	−0.986723	+	0.162415i	$0.948072\pi$
$930$	12.0144	−	9.66479i	0.393969	−	0.316921i
$931$	2.37263	+	36.2931i	0.0777598	+	1.18946i
$932$	−19.6319	−	2.02781i	−0.643065	−	0.0664230i
$933$	−4.51741	−	7.82439i	−0.147894	−	0.256159i
$934$	−44.3918	+	9.47738i	−1.45254	+	0.310109i
$935$	−35.0958	−	22.9985i	−1.14776	−	0.752133i
$936$	−3.22383	−	1.42496i	−0.105374	−	0.0465764i
$937$			41.2013i			1.34599i	0.739648	+	0.672994i	$0.234992\pi$
$937$			41.2013i			1.34599i	−0.739648	+	0.672994i	$0.765008\pi$
$938$	41.3309	+	11.9127i	1.34950	+	0.388964i
$939$		−	28.4289i		−	0.927742i
$940$	−25.0335	+	9.54217i	−0.816503	+	0.311231i
$941$	10.2283	+	5.90533i	0.333434	+	0.192508i	0.657365	−	0.753573i	$-0.271671\pi$
$941$	10.2283	+	5.90533i	0.333434	+	0.192508i	−0.323931	+	0.946081i	$0.605004\pi$
$942$	30.3596	−	6.48158i	0.989168	−	0.211181i
$943$	4.60540	−	2.65893i	0.149972	−	0.0865866i
$944$	−5.28648	+	25.3171i	−0.172060	+	0.824002i
$945$	−15.3337	+	25.1533i	−0.498807	+	0.818238i
$946$	35.5860	−	32.0996i	1.15700	−	1.04365i
$947$	25.5442	+	44.2438i	0.830074	+	1.43773i	0.897979	+	0.440039i	$0.145035\pi$
$947$	25.5442	+	44.2438i	0.830074	+	1.43773i	−0.0679046	+	0.997692i	$0.521631\pi$
$948$	−15.5292	−	11.2401i	−0.504365	−	0.365062i
$949$	7.82706	+	4.51895i	0.254077	+	0.146691i
$950$	−33.4523	−	15.1907i	−1.08534	−	0.492851i
$951$	−8.60599			−0.279068
$952$	19.7464	−	15.4411i	0.639986	−	0.500449i
$953$		−	36.0905i		−	1.16909i	−0.811363	−	0.584543i	$-0.801274\pi$
$953$		−	36.0905i		−	1.16909i	0.811363	−	0.584543i	$-0.198726\pi$
$954$	3.24922	−	10.0307i	0.105197	−	0.324754i
$955$	−18.4347	−	12.0804i	−0.596532	−	0.390912i
$956$	−37.0103	−	26.7883i	−1.19700	−	0.866394i
$957$	−12.7514	−	22.0861i	−0.412195	−	0.713943i
$958$	−15.2400	−	16.8953i	−0.492383	−	0.545862i
$959$	−43.3385	+	1.41510i	−1.39947	+	0.0456960i
$960$	16.5945	+	6.34641i	0.535586	+	0.204830i
$961$	3.44864	+	5.97321i	0.111246	+	0.192684i
$962$	−3.09195	+	0.660112i	−0.0996884	+	0.0212829i
$963$	−5.42068	+	9.38890i	−0.174679	+	0.302553i
$964$	32.2388	−	14.4230i	1.03834	−	0.464533i
$965$	20.6048	+	1.16537i	0.663292	+	0.0375146i
$966$	22.1084	−	5.48011i	0.711327	−	0.176320i
$967$			18.8073i			0.604804i	0.953181	+	0.302402i	$0.0977884\pi$
$967$			18.8073i			0.604804i	−0.953181	+	0.302402i	$0.902212\pi$
$968$	52.7296	+	23.3070i	1.69479	+	0.749114i
$969$	−8.64292	+	14.9700i	−0.277650	+	0.480905i
$970$	−32.8906	+	5.10012i	−1.05605	+	0.163755i
$971$	−13.1476	+	7.59077i	−0.421927	+	0.243599i	−0.695901	−	0.718137i	$-0.744995\pi$
$971$	−13.1476	+	7.59077i	−0.421927	+	0.243599i	0.273975	+	0.961737i	$0.411662\pi$
$972$	3.29318	−	31.8825i	0.105629	−	1.02263i
$973$	2.89274	+	4.65278i	0.0927371	+	0.149161i
$974$	11.4174	−	10.2988i	0.365838	−	0.329996i
$975$	1.22677	+	2.81790i	0.0392880	+	0.0902450i
$976$	6.17790	+	5.52262i	0.197750	+	0.176775i
$977$	23.5001	+	13.5678i	0.751836	+	0.434073i	0.826357	−	0.563147i	$-0.190409\pi$
$977$	23.5001	+	13.5678i	0.751836	+	0.434073i	−0.0745208	+	0.997219i	$0.523743\pi$
$978$	−0.778698	+	2.40392i	−0.0249000	+	0.0768689i
$979$		−	71.7235i		−	2.29229i
$980$	18.1317	−	25.5194i	0.579196	−	0.815188i
$981$		−	10.8769i		−	0.347274i
$982$	20.6834	+	6.69994i	0.660033	+	0.213804i
$983$	−14.1097	−	8.14625i	−0.450030	−	0.259825i	0.257813	−	0.966195i	$-0.416998\pi$
$983$	−14.1097	−	8.14625i	−0.450030	−	0.259825i	−0.707843	+	0.706370i	$0.750332\pi$
$984$	−0.261283	−	2.42322i	−0.00832941	−	0.0772495i
$985$	2.53501	−	1.27847i	0.0807723	−	0.0407354i
$986$	14.5438	+	16.1234i	0.463168	+	0.513474i
$987$	8.31146	+	13.3684i	0.264557	+	0.425521i
$988$	−6.39717	−	0.660773i	−0.203521	−	0.0210220i
$989$	−32.1098	+	18.5386i	−1.02103	+	0.589493i
$990$	35.2495	−	5.46591i	1.12030	−	0.173718i
$991$	28.9241	−	50.0979i	0.918803	−	1.59141i	0.117567	−	0.993065i	$-0.462490\pi$
$991$	28.9241	−	50.0979i	0.918803	−	1.59141i	0.801236	−	0.598349i	$-0.204176\pi$
$992$	13.7781	−	24.1133i	0.437454	−	0.765599i
$993$			4.11839i			0.130693i
$994$	−4.95587	−	19.9935i	−0.157191	−	0.634155i
$995$	−0.137256	+	2.42680i	−0.00435130	+	0.0769349i
$996$	−2.57134	+	1.15037i	−0.0814761	+	0.0364507i
$997$	15.3933	−	26.6620i	0.487510	−	0.844393i	−0.512386	−	0.858755i	$-0.671238\pi$
$997$	15.3933	−	26.6620i	0.487510	−	0.844393i	0.999897	+	0.0143622i	$0.00457179\pi$
$998$	−9.07341	−	42.4996i	−0.287214	−	1.34530i
$999$	−8.99361	−	15.5774i	−0.284545	−	0.492847i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bf.a.109.19	yes	88
4.3	odd	2		1120.2.bv.a.529.16		88
5.4	even	2	inner	280.2.bf.a.109.26	yes	88
7.2	even	3	inner	280.2.bf.a.149.41	yes	88
8.3	odd	2		1120.2.bv.a.529.29		88
8.5	even	2	inner	280.2.bf.a.109.4	✓	88
20.19	odd	2		1120.2.bv.a.529.30		88
28.23	odd	6		1120.2.bv.a.849.15		88
35.9	even	6	inner	280.2.bf.a.149.4	yes	88
40.19	odd	2		1120.2.bv.a.529.15		88
40.29	even	2	inner	280.2.bf.a.109.41	yes	88
56.37	even	6	inner	280.2.bf.a.149.26	yes	88
56.51	odd	6		1120.2.bv.a.849.30		88
140.79	odd	6		1120.2.bv.a.849.29		88
280.149	even	6	inner	280.2.bf.a.149.19	yes	88
280.219	odd	6		1120.2.bv.a.849.16		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bf.a.109.4	✓	88	8.5	even	2	inner
280.2.bf.a.109.19	yes	88	1.1	even	1	trivial
280.2.bf.a.109.26	yes	88	5.4	even	2	inner
280.2.bf.a.109.41	yes	88	40.29	even	2	inner
280.2.bf.a.149.4	yes	88	35.9	even	6	inner
280.2.bf.a.149.19	yes	88	280.149	even	6	inner
280.2.bf.a.149.26	yes	88	56.37	even	6	inner
280.2.bf.a.149.41	yes	88	7.2	even	3	inner
1120.2.bv.a.529.15		88	40.19	odd	2
1120.2.bv.a.529.16		88	4.3	odd	2
1120.2.bv.a.529.29		88	8.3	odd	2
1120.2.bv.a.529.30		88	20.19	odd	2
1120.2.bv.a.849.15		88	28.23	odd	6
1120.2.bv.a.849.16		88	280.219	odd	6
1120.2.bv.a.849.29		88	140.79	odd	6
1120.2.bv.a.849.30		88	56.51	odd	6

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.435810 + 1.34539i) q^{2} +(0.496594 - 0.860127i) q^{3} +(-1.62014 - 1.17267i) q^{4} +(-1.99653 + 1.00690i) q^{5} +(0.940784 + 1.04296i) q^{6} +(2.24690 - 1.39695i) q^{7} +(2.28377 - 1.66866i) q^{8} +(1.00679 + 1.74381i) q^{9} +O(q^{10})\)	\(q+(-0.435810 + 1.34539i) q^{2} +(0.496594 - 0.860127i) q^{3} +(-1.62014 - 1.17267i) q^{4} +(-1.99653 + 1.00690i) q^{5} +(0.940784 + 1.04296i) q^{6} +(2.24690 - 1.39695i) q^{7} +(2.28377 - 1.66866i) q^{8} +(1.00679 + 1.74381i) q^{9} +(-0.484562 - 3.12493i) q^{10} +(4.85149 + 2.80101i) q^{11} +(-1.81319 + 0.811186i) q^{12} -0.618886 q^{13} +(0.900217 + 3.63175i) q^{14} +(-0.125406 + 2.21729i) q^{15} +(1.24970 + 3.79977i) q^{16} +(2.90093 + 1.67485i) q^{17} +(-2.78487 + 0.594552i) q^{18} +(-4.49969 + 2.59790i) q^{19} +(4.41542 + 0.709951i) q^{20} +(-0.0857557 - 2.62633i) q^{21} +(-5.88278 + 5.30643i) q^{22} +(5.30812 - 3.06464i) q^{23} +(-0.301152 - 2.79297i) q^{24} +(2.97230 - 4.02062i) q^{25} +(0.269717 - 0.832643i) q^{26} +4.97943 q^{27} +(-5.27844 - 0.371611i) q^{28} -4.58366i q^{29} +(-2.92847 - 1.13504i) q^{30} +(-2.45473 + 4.25171i) q^{31} +(-5.65680 + 0.0253619i) q^{32} +(4.81845 - 2.78193i) q^{33} +(-3.51758 + 3.17296i) q^{34} +(-3.07942 + 5.05145i) q^{35} +(0.413769 - 4.00584i) q^{36} +(-1.80615 - 3.12835i) q^{37} +(-1.53417 - 7.18601i) q^{38} +(-0.307336 + 0.532321i) q^{39} +(-2.87945 + 5.63106i) q^{40} +0.867614 q^{41} +(3.57081 + 1.02921i) q^{42} -6.04919 q^{43} +(-4.57544 - 10.2272i) q^{44} +(-3.76593 - 2.46784i) q^{45} +(1.80981 + 8.47708i) q^{46} +(-5.18795 + 2.99527i) q^{47} +(3.88888 + 0.812039i) q^{48} +(3.09708 - 6.27759i) q^{49} +(4.11394 + 5.75113i) q^{50} +(2.88117 - 1.66345i) q^{51} +(1.00268 + 0.725748i) q^{52} +(-1.85133 + 3.20660i) q^{53} +(-2.17008 + 6.69926i) q^{54} +(-12.5065 - 0.707346i) q^{55} +(2.80036 - 6.93960i) q^{56} +5.16040i q^{57} +(6.16680 + 1.99760i) q^{58} +(5.59954 + 3.23290i) q^{59} +(2.80332 - 3.44527i) q^{60} +(1.79408 - 1.03581i) q^{61} +(-4.65041 - 5.15550i) q^{62} +(4.69815 + 2.51172i) q^{63} +(2.43117 - 7.62164i) q^{64} +(1.23563 - 0.623157i) q^{65} +(1.64285 + 7.69508i) q^{66} +(5.74791 - 9.95567i) q^{67} +(-2.73587 - 6.11532i) q^{68} -6.08754i q^{69} +(-5.45412 - 6.34449i) q^{70} -5.50519 q^{71} +(5.20909 + 2.30246i) q^{72} +(-12.6470 - 7.30175i) q^{73} +(4.99599 - 1.06661i) q^{74} +(-1.98222 - 4.55318i) q^{75} +(10.3366 + 1.06768i) q^{76} +(14.8137 - 0.483700i) q^{77} +(-0.582238 - 0.645476i) q^{78} +(4.82542 + 8.35787i) q^{79} +(-6.32107 - 6.32804i) q^{80} +(-0.547608 + 0.948485i) q^{81} +(-0.378114 + 1.16728i) q^{82} +1.41813 q^{83} +(-2.94088 + 4.35559i) q^{84} +(-7.47822 - 0.422955i) q^{85} +(2.63629 - 8.13850i) q^{86} +(-3.94253 - 2.27622i) q^{87} +(15.7536 - 1.69863i) q^{88} +(-6.40158 - 11.0879i) q^{89} +(4.96143 - 3.99113i) q^{90} +(-1.39057 + 0.864551i) q^{91} +(-12.1937 - 1.25950i) q^{92} +(2.43801 + 4.22275i) q^{93} +(-1.76884 - 8.28518i) q^{94} +(6.36796 - 9.71752i) q^{95} +(-2.78732 + 4.87816i) q^{96} -10.5252i q^{97} +(7.09606 + 6.90261i) q^{98} +11.2801i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 2 q^{4} - 40 q^{9}+O(q^{10}) \) 88 * q - 2 * q^4 - 40 * q^9	\( 88 q - 2 q^{4} - 40 q^{9} + 6 q^{10} - 6 q^{14} + 4 q^{15} + 2 q^{16} - 24 q^{20} - 8 q^{24} - 2 q^{25} - 14 q^{26} + 14 q^{30} - 28 q^{31} + 24 q^{34} + 60 q^{36} - 16 q^{39} - 32 q^{40} - 16 q^{41} - 2 q^{44} - 42 q^{46} - 8 q^{49} - 12 q^{50} + 8 q^{54} - 28 q^{55} + 36 q^{56} + 10 q^{60} + 52 q^{64} - 12 q^{65} - 44 q^{66} - 48 q^{70} + 16 q^{71} - 42 q^{74} - 36 q^{76} - 4 q^{79} - 40 q^{80} - 20 q^{81} + 12 q^{84} - 24 q^{86} + 4 q^{89} - 96 q^{90} - 22 q^{94} - 34 q^{95} + 80 q^{96}+O(q^{100}) \) 88 * q - 2 * q^4 - 40 * q^9 + 6 * q^10 - 6 * q^14 + 4 * q^15 + 2 * q^16 - 24 * q^20 - 8 * q^24 - 2 * q^25 - 14 * q^26 + 14 * q^30 - 28 * q^31 + 24 * q^34 + 60 * q^36 - 16 * q^39 - 32 * q^40 - 16 * q^41 - 2 * q^44 - 42 * q^46 - 8 * q^49 - 12 * q^50 + 8 * q^54 - 28 * q^55 + 36 * q^56 + 10 * q^60 + 52 * q^64 - 12 * q^65 - 44 * q^66 - 48 * q^70 + 16 * q^71 - 42 * q^74 - 36 * q^76 - 4 * q^79 - 40 * q^80 - 20 * q^81 + 12 * q^84 - 24 * q^86 + 4 * q^89 - 96 * q^90 - 22 * q^94 - 34 * q^95 + 80 * q^96

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