LMFDB - Embedded newform 603.2.e.a.202.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [603,2,Mod(202,603)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(603, base_ring=CyclotomicField(6))

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

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

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

chi := DirichletCharacter("603.202");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 603 = 3^{2} \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	603.e (of order $3$, 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:	$4.81497924188$
Analytic rank:	$0$
Dimension:	$66$
Relative dimension:	$33$ over $\Q(\zeta_{3})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			202.11
Character	$\chi$	$=$	603.202
Dual form			603.2.e.a.403.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.725966 - 1.25741i) q^{2} +(-1.21321 + 1.23617i) q^{3} +(-0.0540534 + 0.0936233i) q^{4} +(1.12396 - 1.94676i) q^{5} +(2.43512 + 0.628086i) q^{6} +(1.46811 + 2.54284i) q^{7} -2.74690 q^{8} +(-0.0562367 - 2.99947i) q^{9} +O(q^{10})$	\(q+(-0.725966 - 1.25741i) q^{2} +(-1.21321 + 1.23617i) q^{3} +(-0.0540534 + 0.0936233i) q^{4} +(1.12396 - 1.94676i) q^{5} +(2.43512 + 0.628086i) q^{6} +(1.46811 + 2.54284i) q^{7} -2.74690 q^{8} +(-0.0562367 - 2.99947i) q^{9} -3.26383 q^{10} +(0.0575668 + 0.0997087i) q^{11} +(-0.0501561 - 0.180404i) q^{12} +(1.98619 - 3.44018i) q^{13} +(2.13160 - 3.69203i) q^{14} +(1.04292 + 3.75124i) q^{15} +(2.10226 + 3.64123i) q^{16} -2.01054 q^{17} +(-3.73074 + 2.24823i) q^{18} +3.56163 q^{19} +(0.121508 + 0.210458i) q^{20} +(-4.92451 - 1.27017i) q^{21} +(0.0835832 - 0.144770i) q^{22} +(1.98558 - 3.43913i) q^{23} +(3.33257 - 3.39564i) q^{24} +(-0.0265780 - 0.0460345i) q^{25} -5.76762 q^{26} +(3.77609 + 3.56948i) q^{27} -0.317425 q^{28} +(-1.35064 - 2.33937i) q^{29} +(3.95972 - 4.03465i) q^{30} +(1.92877 - 3.34072i) q^{31} +(0.305443 - 0.529043i) q^{32} +(-0.193098 - 0.0498053i) q^{33} +(1.45958 + 2.52807i) q^{34} +6.60039 q^{35} +(0.283860 + 0.156867i) q^{36} -4.56546 q^{37} +(-2.58562 - 4.47843i) q^{38} +(1.84298 + 6.62893i) q^{39} +(-3.08741 + 5.34755i) q^{40} +(4.28675 - 7.42487i) q^{41} +(1.97791 + 7.11423i) q^{42} +(-2.75762 - 4.77634i) q^{43} -0.0124467 q^{44} +(-5.90246 - 3.26181i) q^{45} -5.76587 q^{46} +(-5.17267 - 8.95933i) q^{47} +(-7.05167 - 1.81882i) q^{48} +(-0.810692 + 1.40416i) q^{49} +(-0.0385895 + 0.0668390i) q^{50} +(2.43921 - 2.48537i) q^{51} +(0.214720 + 0.371907i) q^{52} -2.56373 q^{53} +(1.74698 - 7.33941i) q^{54} +0.258812 q^{55} +(-4.03275 - 6.98493i) q^{56} +(-4.32101 + 4.40279i) q^{57} +(-1.96103 + 3.39661i) q^{58} +(0.760593 - 1.31739i) q^{59} +(-0.407577 - 0.105125i) q^{60} +(-7.08017 - 12.2632i) q^{61} -5.60088 q^{62} +(7.54462 - 4.54656i) q^{63} +7.52209 q^{64} +(-4.46480 - 7.73325i) q^{65} +(0.0775568 + 0.278960i) q^{66} +(-0.500000 + 0.866025i) q^{67} +(0.108676 - 0.188233i) q^{68} +(1.84242 + 6.62692i) q^{69} +(-4.79166 - 8.29940i) q^{70} +8.74531 q^{71} +(0.154477 + 8.23925i) q^{72} +1.44176 q^{73} +(3.31437 + 5.74066i) q^{74} +(0.0891513 + 0.0229946i) q^{75} +(-0.192518 + 0.333452i) q^{76} +(-0.169029 + 0.292767i) q^{77} +(6.99734 - 7.12976i) q^{78} +(3.61134 + 6.25502i) q^{79} +9.45145 q^{80} +(-8.99367 + 0.337361i) q^{81} -12.4481 q^{82} +(2.23550 + 3.87200i) q^{83} +(0.385104 - 0.392392i) q^{84} +(-2.25977 + 3.91403i) q^{85} +(-4.00388 + 6.93492i) q^{86} +(4.53047 + 1.16853i) q^{87} +(-0.158130 - 0.273890i) q^{88} +3.36527 q^{89} +(0.183547 + 9.78977i) q^{90} +11.6638 q^{91} +(0.214655 + 0.371794i) q^{92} +(1.78970 + 6.43729i) q^{93} +(-7.51037 + 13.0083i) q^{94} +(4.00314 - 6.93364i) q^{95} +(0.283421 + 1.01942i) q^{96} +(9.42248 + 16.3202i) q^{97} +2.35414 q^{98} +(0.295836 - 0.178277i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9}+O(q^{10}) $ 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9	\( 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9} - 8 q^{11} + q^{12} - 7 q^{14} + 3 q^{15} - 33 q^{16} + 66 q^{17} - 11 q^{18} - 29 q^{20} + q^{21} - 17 q^{23} + 47 q^{24} - 33 q^{25} + 60 q^{26} - 21 q^{27} - 54 q^{28} - 39 q^{29} - 34 q^{30} - 53 q^{32} + 8 q^{33} - 6 q^{34} + 62 q^{35} - 35 q^{36} + 24 q^{37} - 30 q^{38} - 5 q^{39} - 6 q^{40} - 38 q^{41} + 65 q^{42} + 22 q^{44} - 9 q^{45} + 12 q^{46} - 58 q^{47} - 59 q^{48} - 33 q^{49} - 31 q^{50} + 26 q^{51} + 9 q^{52} + 128 q^{53} - 22 q^{54} - 36 q^{55} - 32 q^{56} - 34 q^{57} + 3 q^{58} - 39 q^{59} + 127 q^{60} + 138 q^{62} - 35 q^{63} + 132 q^{64} - 28 q^{65} - 94 q^{66} - 33 q^{67} - 62 q^{68} + 60 q^{69} - 6 q^{70} + 42 q^{71} - 34 q^{72} - 25 q^{74} + 55 q^{75} - 6 q^{76} - 91 q^{77} + 125 q^{78} + 116 q^{80} - 90 q^{82} - 61 q^{83} - 26 q^{84} + 15 q^{85} - 47 q^{86} - q^{87} - 12 q^{88} + 110 q^{89} - 91 q^{90} + 36 q^{91} - 41 q^{92} - 11 q^{93} - 21 q^{94} - 6 q^{95} + 80 q^{96} - 12 q^{97} + 80 q^{98} - 38 q^{99}+O(q^{100}) \) 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9 - 8 * q^11 + q^12 - 7 * q^14 + 3 * q^15 - 33 * q^16 + 66 * q^17 - 11 * q^18 - 29 * q^20 + q^21 - 17 * q^23 + 47 * q^24 - 33 * q^25 + 60 * q^26 - 21 * q^27 - 54 * q^28 - 39 * q^29 - 34 * q^30 - 53 * q^32 + 8 * q^33 - 6 * q^34 + 62 * q^35 - 35 * q^36 + 24 * q^37 - 30 * q^38 - 5 * q^39 - 6 * q^40 - 38 * q^41 + 65 * q^42 + 22 * q^44 - 9 * q^45 + 12 * q^46 - 58 * q^47 - 59 * q^48 - 33 * q^49 - 31 * q^50 + 26 * q^51 + 9 * q^52 + 128 * q^53 - 22 * q^54 - 36 * q^55 - 32 * q^56 - 34 * q^57 + 3 * q^58 - 39 * q^59 + 127 * q^60 + 138 * q^62 - 35 * q^63 + 132 * q^64 - 28 * q^65 - 94 * q^66 - 33 * q^67 - 62 * q^68 + 60 * q^69 - 6 * q^70 + 42 * q^71 - 34 * q^72 - 25 * q^74 + 55 * q^75 - 6 * q^76 - 91 * q^77 + 125 * q^78 + 116 * q^80 - 90 * q^82 - 61 * q^83 - 26 * q^84 + 15 * q^85 - 47 * q^86 - q^87 - 12 * q^88 + 110 * q^89 - 91 * q^90 + 36 * q^91 - 41 * q^92 - 11 * q^93 - 21 * q^94 - 6 * q^95 + 80 * q^96 - 12 * q^97 + 80 * q^98 - 38 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/603\mathbb{Z}\right)^\times$.

$n$	$136$	$470$
$\chi(n)$	$1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.725966	−	1.25741i	−0.513336	−	0.889123i	−0.999880	−	0.0154676i	$-0.995076\pi$
$2$	−0.725966	−	1.25741i	−0.513336	−	0.889123i	0.486545	−	0.873656i	$-0.338257\pi$
$3$	−1.21321	+	1.23617i	−0.700448	+	0.713704i
$3$	−1.21321	+	1.23617i	−0.700448	+	0.713704i
$4$	−0.0540534	+	0.0936233i	−0.0270267	+	0.0468116i
$5$	1.12396	−	1.94676i	0.502651	−	0.870617i	−0.497345	−	0.867553i	$-0.665692\pi$
$5$	1.12396	−	1.94676i	0.502651	−	0.870617i	0.999995	−	0.00306356i	$-0.000975164\pi$
$6$	2.43512	+	0.628086i	0.994135	+	0.256415i
$7$	1.46811	+	2.54284i	0.554893	+	0.961103i	0.997912	+	0.0645909i	$0.0205742\pi$
$7$	1.46811	+	2.54284i	0.554893	+	0.961103i	−0.443019	+	0.896512i	$0.646092\pi$
$8$	−2.74690			−0.971176
$9$	−0.0562367	−	2.99947i	−0.0187456	−	0.999824i
$10$	−3.26383			−1.03211
$11$	0.0575668	+	0.0997087i	0.0173571	+	0.0300633i	0.874573	−	0.484893i	$-0.161141\pi$
$11$	0.0575668	+	0.0997087i	0.0173571	+	0.0300633i	−0.857216	+	0.514956i	$0.827808\pi$
$12$	−0.0501561	−	0.180404i	−0.0144788	−	0.0520782i
$13$	1.98619	−	3.44018i	0.550869	−	0.954133i	−0.447343	−	0.894363i	$-0.647630\pi$
$13$	1.98619	−	3.44018i	0.550869	−	0.954133i	0.998212	−	0.0597710i	$-0.0190370\pi$
$14$	2.13160	−	3.69203i	0.569693	−	0.986737i
$15$	1.04292	+	3.75124i	0.269282	+	0.968565i
$16$	2.10226	+	3.64123i	0.525566	+	0.910307i
$17$	−2.01054			−0.487627			−0.243814	−	0.969822i	$-0.578399\pi$
$17$	−2.01054			−0.487627			−0.243814	+	0.969822i	$0.578399\pi$
$18$	−3.73074	+	2.24823i	−0.879344	+	0.529912i
$19$	3.56163			0.817095			0.408547	−	0.912737i	$-0.366036\pi$
$19$	3.56163			0.817095			0.408547	+	0.912737i	$0.366036\pi$
$20$	0.121508	+	0.210458i	0.0271700	+	0.0470598i
$21$	−4.92451	−	1.27017i	−1.07462	−	0.277173i
$22$	0.0835832	−	0.144770i	0.0178200	−	0.0308651i
$23$	1.98558	−	3.43913i	0.414023	−	0.717109i	−0.581302	−	0.813688i	$-0.697457\pi$
$23$	1.98558	−	3.43913i	0.414023	−	0.717109i	0.995325	+	0.0965788i	$0.0307900\pi$
$24$	3.33257	−	3.39564i	0.680258	−	0.693132i
$25$	−0.0265780	−	0.0460345i	−0.00531561	−	0.00920691i
$26$	−5.76762			−1.13112
$27$	3.77609	+	3.56948i	0.726708	+	0.686946i
$28$	−0.317425			−0.0599878
$29$	−1.35064	−	2.33937i	−0.250807	−	0.434411i	0.712941	−	0.701224i	$-0.247363\pi$
$29$	−1.35064	−	2.33937i	−0.250807	−	0.434411i	−0.963748	+	0.266813i	$0.914029\pi$
$30$	3.95972	−	4.03465i	0.722942	−	0.736623i
$31$	1.92877	−	3.34072i	0.346417	−	0.600012i	−0.639193	−	0.769046i	$-0.720732\pi$
$31$	1.92877	−	3.34072i	0.346417	−	0.600012i	0.985610	+	0.169034i	$0.0540649\pi$
$32$	0.305443	−	0.529043i	0.0539952	−	0.0935225i
$33$	−0.193098	−	0.0498053i	−0.0336140	−	0.00866998i
$34$	1.45958	+	2.52807i	0.250316	+	0.433561i
$35$	6.60039			1.11567
$36$	0.283860	+	0.156867i	0.0473100	+	0.0261444i
$37$	−4.56546			−0.750558			−0.375279	−	0.926912i	$-0.622453\pi$
$37$	−4.56546			−0.750558			−0.375279	+	0.926912i	$0.622453\pi$
$38$	−2.58562	−	4.47843i	−0.419444	−	0.726498i
$39$	1.84298	+	6.62893i	0.295113	+	1.06148i
$40$	−3.08741	+	5.34755i	−0.488162	+	0.845522i
$41$	4.28675	−	7.42487i	0.669478	−	1.15957i	−0.308572	−	0.951201i	$-0.599851\pi$
$41$	4.28675	−	7.42487i	0.669478	−	1.15957i	0.978050	−	0.208369i	$-0.0668155\pi$
$42$	1.97791	+	7.11423i	0.305198	+	1.09775i
$43$	−2.75762	−	4.77634i	−0.420533	−	0.728385i	0.575458	−	0.817831i	$-0.304824\pi$
$43$	−2.75762	−	4.77634i	−0.420533	−	0.728385i	−0.995992	+	0.0894460i	$0.971490\pi$
$44$	−0.0124467			−0.00187642
$45$	−5.90246	−	3.26181i	−0.879886	−	0.486242i
$46$	−5.76587			−0.850131
$47$	−5.17267	−	8.95933i	−0.754511	−	1.30685i	−0.945617	−	0.325283i	$-0.894541\pi$
$47$	−5.17267	−	8.95933i	−0.754511	−	1.30685i	0.191105	−	0.981570i	$-0.438793\pi$
$48$	−7.05167	−	1.81882i	−1.01782	−	0.262524i
$49$	−0.810692	+	1.40416i	−0.115813	+	0.200594i
$50$	−0.0385895	+	0.0668390i	−0.00545738	+	0.00945246i
$51$	2.43921	−	2.48537i	0.341557	−	0.348021i
$52$	0.214720	+	0.371907i	0.0297764	+	0.0515742i
$53$	−2.56373			−0.352156			−0.176078	−	0.984376i	$-0.556341\pi$
$53$	−2.56373			−0.352156			−0.176078	+	0.984376i	$0.556341\pi$
$54$	1.74698	−	7.33941i	0.237734	−	0.998767i
$55$	0.258812			0.0348982
$56$	−4.03275	−	6.98493i	−0.538899	−	0.933400i
$57$	−4.32101	+	4.40279i	−0.572332	+	0.583163i
$58$	−1.96103	+	3.39661i	−0.257496	+	0.445997i
$59$	0.760593	−	1.31739i	0.0990208	−	0.171509i	−0.812259	−	0.583297i	$-0.801762\pi$
$59$	0.760593	−	1.31739i	0.0990208	−	0.171509i	0.911280	+	0.411788i	$0.135096\pi$
$60$	−0.407577	−	0.105125i	−0.0526179	−	0.0135716i
$61$	−7.08017	−	12.2632i	−0.906523	−	1.57014i	−0.818860	−	0.573994i	$-0.805393\pi$
$61$	−7.08017	−	12.2632i	−0.906523	−	1.57014i	−0.0876634	−	0.996150i	$-0.527940\pi$
$62$	−5.60088			−0.711313
$63$	7.54462	−	4.54656i	0.950533	−	0.572812i
$64$	7.52209			0.940261
$65$	−4.46480	−	7.73325i	−0.553790	−	0.959192i
$66$	0.0775568	+	0.278960i	0.00954658	+	0.0343376i
$67$	−0.500000	+	0.866025i	−0.0610847	+	0.105802i
$67$	−0.500000	+	0.866025i	−0.0610847	+	0.105802i
$68$	0.108676	−	0.188233i	0.0131790	−	0.0228266i
$69$	1.84242	+	6.62692i	0.221802	+	0.797787i
$70$	−4.79166	−	8.29940i	−0.572713	−	0.991968i
$71$	8.74531			1.03788			0.518939	−	0.854812i	$-0.326327\pi$
$71$	8.74531			1.03788			0.518939	+	0.854812i	$0.326327\pi$
$72$	0.154477	+	8.23925i	0.0182052	+	0.971005i
$73$	1.44176			0.168745			0.0843724	−	0.996434i	$-0.473111\pi$
$73$	1.44176			0.168745			0.0843724	+	0.996434i	$0.473111\pi$
$74$	3.31437	+	5.74066i	0.385288	+	0.667338i
$75$	0.0891513	+	0.0229946i	0.0102943	+	0.00265519i
$76$	−0.192518	+	0.333452i	−0.0220834	+	0.0382495i
$77$	−0.169029	+	0.292767i	−0.0192626	+	0.0333639i
$78$	6.99734	−	7.12976i	0.792293	−	0.807286i
$79$	3.61134	+	6.25502i	0.406307	+	0.703744i	0.994473	−	0.104996i	$-0.0334830\pi$
$79$	3.61134	+	6.25502i	0.406307	+	0.703744i	−0.588166	+	0.808741i	$0.700150\pi$
$80$	9.45145			1.05670
$81$	−8.99367	+	0.337361i	−0.999297	+	0.0374845i
$82$	−12.4481			−1.37467
$83$	2.23550	+	3.87200i	0.245378	+	0.425008i	0.962238	−	0.272210i	$-0.0877545\pi$
$83$	2.23550	+	3.87200i	0.245378	+	0.425008i	−0.716860	+	0.697218i	$0.754421\pi$
$84$	0.385104	−	0.392392i	0.0420183	−	0.0428135i
$85$	−2.25977	+	3.91403i	−0.245106	+	0.424536i
$86$	−4.00388	+	6.93492i	−0.431749	+	0.747812i
$87$	4.53047	+	1.16853i	0.485718	+	0.125280i
$88$	−0.158130	−	0.273890i	−0.0168568	−	0.0291968i
$89$	3.36527			0.356718			0.178359	−	0.983965i	$-0.442921\pi$
$89$	3.36527			0.356718			0.178359	+	0.983965i	$0.442921\pi$
$90$	0.183547	+	9.78977i	0.0193476	+	1.03193i
$91$	11.6638			1.22269
$92$	0.214655	+	0.371794i	0.0223794	+	0.0387622i
$93$	1.78970	+	6.43729i	0.185584	+	0.667516i
$94$	−7.51037	+	13.0083i	−0.774635	+	1.34171i
$95$	4.00314	−	6.93364i	0.410713	−	0.711376i
$96$	0.283421	+	1.01942i	0.0289265	+	0.104044i
$97$	9.42248	+	16.3202i	0.956708	+	1.65707i	0.730409	+	0.683010i	$0.239329\pi$
$97$	9.42248	+	16.3202i	0.956708	+	1.65707i	0.226299	+	0.974058i	$0.427337\pi$
$98$	2.35414			0.237804
$99$	0.295836	−	0.178277i	0.0297327	−	0.0179176i
$100$	0.00574654			0.000574654
$101$	3.68515	+	6.38288i	0.366687	+	0.635120i	0.989045	−	0.147612i	$-0.0471588\pi$
$101$	3.68515	+	6.38288i	0.366687	+	0.635120i	−0.622359	+	0.782732i	$0.713825\pi$
$102$	−4.89591	−	1.26279i	−0.484767	−	0.125035i
$103$	−7.46863	+	12.9360i	−0.735906	+	1.27463i	0.218419	+	0.975855i	$0.429910\pi$
$103$	−7.46863	+	12.9360i	−0.735906	+	1.27463i	−0.954325	+	0.298771i	$0.903423\pi$
$104$	−5.45586	+	9.44982i	−0.534991	+	0.926632i
$105$	−8.00767	+	8.15921i	−0.781469	+	0.796258i
$106$	1.86118	+	3.22366i	0.180774	+	0.313110i
$107$	9.25495			0.894710			0.447355	−	0.894356i	$-0.352366\pi$
$107$	9.25495			0.894710			0.447355	+	0.894356i	$0.352366\pi$
$108$	−0.538296	+	0.160587i	−0.0517976	+	0.0154525i
$109$	−12.1558			−1.16431			−0.582157	−	0.813076i	$-0.697791\pi$
$109$	−12.1558			−1.16431			−0.582157	+	0.813076i	$0.697791\pi$
$110$	−0.187888	−	0.325432i	−0.0179145	−	0.0310288i
$111$	5.53887	−	5.64369i	0.525727	−	0.535676i
$112$	−6.17271	+	10.6914i	−0.583266	+	1.01025i
$113$	−6.45884	+	11.1870i	−0.607596	+	1.05239i	0.384039	+	0.923317i	$0.374533\pi$
$113$	−6.45884	+	11.1870i	−0.607596	+	1.05239i	−0.991635	+	0.129071i	$0.958801\pi$
$114$	8.67302	+	2.23701i	0.812302	+	0.209515i
$115$	−4.46344	−	7.73091i	−0.416218	−	0.720911i
$116$	0.292026			0.0271140
$117$	−10.4304	−	5.76405i	−0.964292	−	0.532887i
$118$	−2.20866			−0.203324
$119$	−2.95169	−	5.11248i	−0.270581	−	0.468660i
$120$	−2.86481	−	10.3043i	−0.261520	−	0.940647i
$121$	5.49337	−	9.51480i	0.499397	−	0.864982i
$122$	−10.2799	+	17.8054i	−0.930701	+	1.61202i
$123$	3.97767	+	14.3071i	0.358655	+	1.29003i
$124$	0.208513	+	0.361155i	0.0187250	+	0.0324327i
$125$	11.1201			0.994614
$126$	−11.1940	−	6.18604i	−0.997243	−	0.551096i
$127$	14.2152			1.26140			0.630699	−	0.776028i	$-0.282768\pi$
$127$	14.2152			1.26140			0.630699	+	0.776028i	$0.282768\pi$
$128$	−6.07167	−	10.5164i	−0.536665	−	0.929530i
$129$	9.24995	+	2.38582i	0.814413	+	0.210060i
$130$	−6.48258	+	11.2282i	−0.568560	+	0.984775i
$131$	3.18868	−	5.52296i	0.278596	−	0.482543i	−0.692440	−	0.721476i	$-0.743464\pi$
$131$	3.18868	−	5.52296i	0.278596	−	0.482543i	0.971036	+	0.238933i	$0.0767975\pi$
$132$	0.0151005	−	0.0153863i	0.00131433	−	0.00133921i
$133$	5.22887	+	9.05666i	0.453400	+	0.785312i
$134$	1.45193			0.125428
$135$	11.1931	−	3.33918i	0.963347	−	0.287391i
$136$	5.52275			0.473572
$137$	−7.00245	−	12.1286i	−0.598260	−	1.03622i	−0.993078	−	0.117457i	$-0.962526\pi$
$137$	−7.00245	−	12.1286i	−0.598260	−	1.03622i	0.394818	−	0.918759i	$-0.370808\pi$
$138$	6.99522	−	7.12760i	0.595472	−	0.606741i
$139$	−0.352857	+	0.611166i	−0.0299289	+	0.0518384i	−0.880602	−	0.473857i	$-0.842861\pi$
$139$	−0.352857	+	0.611166i	−0.0299289	+	0.0518384i	0.850673	+	0.525695i	$0.176195\pi$
$140$	−0.356774	+	0.617950i	−0.0301529	+	0.0522263i
$141$	17.3508	+	4.47525i	1.46120	+	0.376884i
$142$	−6.34880	−	10.9964i	−0.532779	−	0.922801i
$143$	0.457354			0.0382459
$144$	10.8035	−	6.51045i	0.900295	−	0.542538i
$145$	−6.07226			−0.504274
$146$	−1.04667	−	1.81288i	−0.0866227	−	0.150035i
$147$	−0.752240	−	2.70570i	−0.0620437	−	0.223162i
$148$	0.246779	−	0.427434i	0.0202851	−	0.0351348i
$149$	−2.79385	+	4.83910i	−0.228881	+	0.396434i	−0.957477	−	0.288510i	$-0.906840\pi$
$149$	−2.79385	+	4.83910i	−0.228881	+	0.396434i	0.728595	+	0.684944i	$0.240173\pi$
$150$	−0.0358072	−	0.128793i	−0.00292364	−	0.0105159i
$151$	2.95733	+	5.12225i	0.240664	+	0.416842i	0.960904	−	0.276883i	$-0.0893014\pi$
$151$	2.95733	+	5.12225i	0.240664	+	0.416842i	−0.720240	+	0.693725i	$0.755968\pi$
$152$	−9.78345			−0.793543
$153$	0.113066	+	6.03056i	0.00914085	+	0.487542i
$154$	0.490837			0.0395528
$155$	−4.33572	−	7.50969i	−0.348254	−	0.603193i
$156$	−0.720241	−	0.185770i	−0.0576655	−	0.0148735i
$157$	−6.12636	+	10.6112i	−0.488937	+	0.846864i	−0.999919	−	0.0127277i	$-0.995949\pi$
$157$	−6.12636	+	10.6112i	−0.488937	+	0.846864i	0.510982	+	0.859591i	$0.329282\pi$
$158$	5.24341	−	9.08186i	0.417144	−	0.722514i
$159$	3.11035	−	3.16921i	0.246667	−	0.251335i
$160$	−0.686613	−	1.18925i	−0.0542815	−	0.0940183i
$161$	11.6602			0.918954
$162$	6.95330	+	11.0638i	0.546303	+	0.869256i
$163$	−6.65285			−0.521092			−0.260546	−	0.965461i	$-0.583903\pi$
$163$	−6.65285			−0.521092			−0.260546	+	0.965461i	$0.583903\pi$
$164$	0.463427	+	0.802679i	0.0361876	+	0.0626787i
$165$	−0.313993	+	0.319935i	−0.0244443	+	0.0249069i
$166$	3.24580	−	5.62189i	0.251923	−	0.436343i
$167$	−9.18486	+	15.9086i	−0.710746	+	1.23105i	0.253832	+	0.967248i	$0.418309\pi$
$167$	−9.18486	+	15.9086i	−0.710746	+	1.23105i	−0.964578	+	0.263799i	$0.915024\pi$
$168$	13.5271	+	3.48903i	1.04364	+	0.269184i
$169$	−1.38988	−	2.40734i	−0.106914	−	0.185180i
$170$	6.56206			0.503287
$171$	−0.200294	−	10.6830i	−0.0153169	−	0.816951i
$172$	0.596235			0.0454625
$173$	7.26311	+	12.5801i	0.552204	+	0.956446i	0.998115	+	0.0613685i	$0.0195465\pi$
$173$	7.26311	+	12.5801i	0.552204	+	0.956446i	−0.445911	+	0.895077i	$0.647120\pi$
$174$	−1.81964	−	6.54498i	−0.137947	−	0.496174i
$175$	0.0780390	−	0.135167i	0.00589919	−	0.0102177i
$176$	−0.242041	+	0.419228i	−0.0182446	+	0.0316005i
$177$	0.705754	+	2.53849i	0.0530477	+	0.190805i
$178$	−2.44307	−	4.23153i	−0.183116	−	0.317166i
$179$	−4.79862			−0.358666			−0.179333	−	0.983788i	$-0.557394\pi$
$179$	−4.79862			−0.358666			−0.179333	+	0.983788i	$0.557394\pi$
$180$	0.624429	−	0.376295i	0.0465422	−	0.0280474i
$181$	17.1829			1.27719			0.638596	−	0.769542i	$-0.279516\pi$
$181$	17.1829			1.27719			0.638596	+	0.769542i	$0.279516\pi$
$182$	−8.46750	−	14.6661i	−0.627653	−	1.08713i
$183$	23.7492	+	6.12557i	1.75559	+	0.452815i
$184$	−5.45420	+	9.44696i	−0.402089	+	0.696439i
$185$	−5.13140	+	8.88785i	−0.377268	+	0.653448i
$186$	6.79505	−	6.92365i	0.498237	−	0.507666i
$187$	−0.115740	−	0.200468i	−0.00846377	−	0.0146597i
$188$	1.11840			0.0815678
$189$	−3.53290	+	14.8424i	−0.256980	+	1.07962i
$190$	−11.6246			−0.843335
$191$	3.25048	+	5.63000i	0.235196	+	0.407372i	0.959330	−	0.282288i	$-0.0910933\pi$
$191$	3.25048	+	5.63000i	0.235196	+	0.407372i	−0.724133	+	0.689660i	$0.757760\pi$
$192$	−9.12588	+	9.29859i	−0.658604	+	0.671068i
$193$	10.4228	−	18.0527i	0.750246	−	1.29946i	−0.197457	−	0.980312i	$-0.563268\pi$
$193$	10.4228	−	18.0527i	0.750246	−	1.29946i	0.947703	−	0.319153i	$-0.103398\pi$
$194$	13.6808	−	23.6959i	0.982225	−	1.70126i
$195$	14.9764	+	3.86282i	1.07248	+	0.276622i
$196$	−0.0876413	−	0.151799i	−0.00626009	−	0.0108428i
$197$	−6.08631			−0.433632			−0.216816	−	0.976212i	$-0.569567\pi$
$197$	−6.08631			−0.433632			−0.216816	+	0.976212i	$0.569567\pi$
$198$	−0.438935	−	0.242564i	−0.0311937	−	0.0172383i
$199$	8.17877			0.579778			0.289889	−	0.957060i	$-0.406382\pi$
$199$	8.17877			0.579778			0.289889	+	0.957060i	$0.406382\pi$
$200$	0.0730072	+	0.126452i	0.00516239	+	0.00894153i
$201$	−0.463950	−	1.66876i	−0.0327245	−	0.117705i
$202$	5.35059	−	9.26750i	0.376467	−	0.652059i
$203$	3.96577	−	6.86891i	0.278342	−	0.482103i
$204$	0.100841	+	0.362709i	0.00706027	+	0.0253947i
$205$	−9.63628	−	16.6905i	−0.673027	−	1.16572i
$206$	21.6879			1.51107
$207$	−10.4272	−	5.76230i	−0.724744	−	0.400508i
$208$	16.7020			1.15807
$209$	0.205032	+	0.355126i	0.0141824	+	0.0245646i
$210$	16.0728	+	4.14562i	1.10913	+	0.286075i
$211$	2.04348	−	3.53941i	0.140679	−	0.243663i	−0.787073	−	0.616859i	$-0.788405\pi$
$211$	2.04348	−	3.53941i	0.140679	−	0.243663i	0.927753	+	0.373196i	$0.121738\pi$
$212$	0.138578	−	0.240025i	0.00951761	−	0.0164850i
$213$	−10.6099	+	10.8107i	−0.726979	+	0.740737i
$214$	−6.71878	−	11.6373i	−0.459287	−	0.795508i
$215$	−12.3978			−0.845526
$216$	−10.3725	−	9.80500i	−0.705762	−	0.667145i
$217$	11.3266			0.768898
$218$	8.82470	+	15.2848i	0.597684	+	1.03522i
$219$	−1.74915	+	1.78226i	−0.118197	+	0.120434i
$220$	−0.0139897	+	0.0242308i	−0.000943182	+	0.00163364i
$221$	−3.99331	+	6.91661i	−0.268619	+	0.465261i
$222$	−11.1175	−	2.86750i	−0.746156	−	0.192454i
$223$	−8.49139	−	14.7075i	−0.568625	−	0.984888i	−0.996702	−	0.0811457i	$-0.974142\pi$
$223$	−8.49139	−	14.7075i	−0.568625	−	0.984888i	0.428077	−	0.903742i	$-0.359191\pi$
$224$	1.79370			0.119846
$225$	−0.136585	+	0.0823090i	−0.00910564	+	0.00548726i
$226$	18.7556			1.24760
$227$	7.54526	+	13.0688i	0.500797	+	0.867405i	1.00000		0.000920038i	$0.000292857\pi$
$227$	7.54526	+	13.0688i	0.500797	+	0.867405i	−0.499203	+	0.866485i	$0.666374\pi$
$228$	−0.178638	−	0.642533i	−0.0118306	−	0.0425528i
$229$	4.21694	−	7.30395i	0.278663	−	0.482658i	−0.692390	−	0.721524i	$-0.743442\pi$
$229$	4.21694	−	7.30395i	0.278663	−	0.482658i	0.971053	+	0.238865i	$0.0767754\pi$
$230$	−6.48061	+	11.2247i	−0.427319	+	0.740138i
$231$	−0.156842	−	0.564136i	−0.0103194	−	0.0371174i
$232$	3.71007	+	6.42602i	0.243578	+	0.421889i
$233$	18.2342			1.19456			0.597281	−	0.802032i	$-0.296248\pi$
$233$	18.2342			1.19456			0.597281	+	0.802032i	$0.296248\pi$
$234$	0.324352	+	17.2998i	0.0212035	+	1.13092i
$235$	−23.2555			−1.51702
$236$	0.0822253	+	0.142418i	0.00535241	+	0.00927065i
$237$	−12.1136	−	3.12443i	−0.786862	−	0.202953i
$238$	−4.28566	+	7.42297i	−0.277798	+	0.481160i
$239$	−13.7455	+	23.8078i	−0.889119	+	1.54000i	−0.0482012	+	0.998838i	$0.515349\pi$
$239$	−13.7455	+	23.8078i	−0.889119	+	1.54000i	−0.840918	+	0.541162i	$0.817984\pi$
$240$	−11.4666	+	11.6836i	−0.740166	+	0.754174i
$241$	−8.86606	−	15.3565i	−0.571113	−	0.989197i	−0.996452	−	0.0841625i	$-0.973179\pi$
$241$	−8.86606	−	15.3565i	−0.571113	−	0.989197i	0.425339	−	0.905034i	$-0.360155\pi$
$242$	−15.9520			−1.02543
$243$	10.4942	−	11.5270i	0.673203	−	0.739458i
$244$	1.53083			0.0980013
$245$	1.82237	+	3.15644i	0.116427	+	0.201658i
$246$	15.1022	−	15.3880i	0.962883	−	0.981105i
$247$	7.07407	−	12.2526i	0.450112	−	0.779617i
$248$	−5.29813	+	9.17664i	−0.336432	+	0.582717i
$249$	−7.49859	−	1.93410i	−0.475204	−	0.122568i
$250$	−8.07283	−	13.9826i	−0.510571	−	0.884334i
$251$	−30.6442			−1.93425			−0.967123	−	0.254308i	$-0.918152\pi$
$251$	−30.6442			−1.93425			−0.967123	+	0.254308i	$0.918152\pi$
$252$	0.0178510	+	0.952109i	0.00112450	+	0.0599772i
$253$	0.457215			0.0287449
$254$	−10.3198	−	17.8744i	−0.647520	−	1.12154i
$255$	−2.09684	−	7.54201i	−0.131309	−	0.472299i
$256$	−1.29356	+	2.24051i	−0.0808475	+	0.140032i
$257$	−6.65445	+	11.5258i	−0.415093	+	0.718962i	−0.995438	−	0.0954083i	$-0.969584\pi$
$257$	−6.65445	+	11.5258i	−0.415093	+	0.718962i	0.580345	+	0.814371i	$0.302918\pi$
$258$	−3.71520	−	13.3630i	−0.231298	−	0.831944i
$259$	−6.70260	−	11.6092i	−0.416479	−	0.721363i
$260$	0.965350			0.0598685
$261$	−6.94093	+	4.18276i	−0.429633	+	0.258906i
$262$	−9.25950			−0.572054
$263$	7.28022	+	12.6097i	0.448918	+	0.777548i	0.998316	−	0.0580124i	$-0.0184763\pi$
$263$	7.28022	+	12.6097i	0.448918	+	0.777548i	−0.549398	+	0.835561i	$0.685143\pi$
$264$	0.530420	+	0.136810i	0.0326451	+	0.00842008i
$265$	−2.88153	+	4.99096i	−0.177011	+	0.306593i
$266$	7.59196	−	13.1497i	0.465493	−	0.806257i
$267$	−4.08279	+	4.16005i	−0.249863	+	0.254591i
$268$	−0.0540534	−	0.0936233i	−0.00330184	−	0.00571895i
$269$	−2.65143			−0.161661			−0.0808303	−	0.996728i	$-0.525757\pi$
$269$	−2.65143			−0.161661			−0.0808303	+	0.996728i	$0.525757\pi$
$270$	−12.3245	−	11.6502i	−0.750046	−	0.709007i
$271$	−23.0392			−1.39953			−0.699766	−	0.714372i	$-0.746713\pi$
$271$	−23.0392			−1.39953			−0.699766	+	0.714372i	$0.746713\pi$
$272$	−4.22668	−	7.32083i	−0.256280	−	0.443890i
$273$	−14.1506	+	14.4184i	−0.856434	+	0.872641i
$274$	−10.1671	+	17.6099i	−0.614216	+	1.06385i
$275$	0.00306003	−	0.00530013i	0.000184527	−	0.000319610i
$276$	−0.720023	−	0.185714i	−0.0433403	−	0.0111787i
$277$	5.36353	+	9.28991i	0.322264	+	0.558177i	0.980955	−	0.194237i	$-0.0622230\pi$
$277$	5.36353	+	9.28991i	0.322264	+	0.558177i	−0.658691	+	0.752413i	$0.728890\pi$
$278$	1.02465			0.0614543
$279$	−10.1289	−	5.59742i	−0.606400	−	0.335109i
$280$	−18.1306			−1.08351
$281$	12.1092	+	20.9738i	0.722376	+	1.25119i	0.960045	+	0.279845i	$0.0902832\pi$
$281$	12.1092	+	20.9738i	0.722376	+	1.25119i	−0.237669	+	0.971346i	$0.576383\pi$
$282$	−6.96886	−	25.0660i	−0.414990	−	1.49266i
$283$	9.07445	−	15.7174i	0.539420	−	0.934302i	−0.459516	−	0.888170i	$-0.651977\pi$
$283$	9.07445	−	15.7174i	0.539420	−	0.934302i	0.998935	−	0.0461328i	$-0.0146897\pi$
$284$	−0.472714	+	0.818764i	−0.0280504	+	0.0485847i
$285$	3.71451	+	13.3605i	0.220029	+	0.791409i
$286$	−0.332024	−	0.575082i	−0.0196330	−	0.0340053i
$287$	25.1737			1.48596
$288$	−1.60403	−	0.886417i	−0.0945182	−	0.0522326i
$289$	−12.9577			−0.762220
$290$	4.40825	+	7.63532i	0.258862	+	0.448361i
$291$	−31.6060	−	8.15208i	−1.85278	−	0.477883i
$292$	−0.0779318	+	0.134982i	−0.00456062	+	0.00789922i
$293$	−13.0722	+	22.6418i	−0.763689	+	1.32275i	0.177249	+	0.984166i	$0.443280\pi$
$293$	−13.0722	+	22.6418i	−0.763689	+	1.32275i	−0.940937	+	0.338581i	$0.890053\pi$
$294$	−2.85607	+	2.91012i	−0.166569	+	0.169721i
$295$	−1.70975	−	2.96138i	−0.0995457	−	0.172418i
$296$	12.5409			0.728924
$297$	−0.138530	+	0.581992i	−0.00803835	+	0.0337706i
$298$	8.11297			0.469972
$299$	−7.88749	−	13.6615i	−0.456145	−	0.790066i
$300$	−0.00697176	+	0.00710370i	−0.000402515	+	0.000410132i
$301$	8.09698	−	14.0244i	0.466702	−	0.808352i
$302$	4.29384	−	7.43715i	0.247083	−	0.427960i
$303$	−12.3612	−	3.18830i	−0.710132	−	0.183163i
$304$	7.48749	+	12.9687i	0.429437	+	0.743807i
$305$	−31.8314			−1.82266
$306$	7.50080	−	4.52015i	0.428792	−	0.258400i
$307$	14.9594			0.853777			0.426888	−	0.904304i	$-0.359610\pi$
$307$	14.9594			0.853777			0.426888	+	0.904304i	$0.359610\pi$
$308$	−0.0182732	−	0.0316501i	−0.00104121	−	0.00180343i
$309$	−6.93014	−	24.9267i	−0.394242	−	1.41803i
$310$	−6.29517	+	10.9036i	−0.357542	+	0.619281i
$311$	−3.55242	+	6.15297i	−0.201439	+	0.348903i	−0.948992	−	0.315299i	$-0.897895\pi$
$311$	−3.55242	+	6.15297i	−0.201439	+	0.348903i	0.747553	+	0.664202i	$0.231228\pi$
$312$	−5.06249	−	18.2090i	−0.286607	−	1.03088i
$313$	5.92372	+	10.2602i	0.334828	+	0.579940i	0.983452	−	0.181170i	$-0.0579884\pi$
$313$	5.92372	+	10.2602i	0.334828	+	0.579940i	−0.648624	+	0.761109i	$0.724655\pi$
$314$	17.7901			1.00395
$315$	−0.371184	−	19.7977i	−0.0209139	−	1.11547i
$316$	−0.780820			−0.0439246
$317$	−7.59774	−	13.1597i	−0.426732	−	0.739121i	0.569849	−	0.821750i	$-0.307002\pi$
$317$	−7.59774	−	13.1597i	−0.426732	−	0.739121i	−0.996580	+	0.0826286i	$0.973668\pi$
$318$	−6.24300	−	1.61024i	−0.350090	−	0.0902980i
$319$	0.155504	−	0.269341i	0.00870655	−	0.0150802i
$320$	8.45454	−	14.6437i	0.472623	−	0.818607i
$321$	−11.2282	+	11.4407i	−0.626698	+	0.638558i
$322$	−8.46493	−	14.6617i	−0.471732	−	0.817064i
$323$	−7.16080			−0.398438
$324$	0.454554	−	0.860253i	0.0252530	−	0.0477918i
$325$	−0.211156			−0.0117128
$326$	4.82975	+	8.36537i	0.267495	+	0.463315i
$327$	14.7476	−	15.0266i	0.815542	−	0.830976i
$328$	−11.7753	+	20.3954i	−0.650181	+	1.12615i
$329$	15.1881	−	26.3065i	0.837347	−	1.45033i
$330$	0.630238	+	0.162556i	0.0346935	+	0.00894841i
$331$	4.46822	+	7.73919i	0.245596	+	0.425384i	0.962299	−	0.271994i	$-0.0876831\pi$
$331$	4.46822	+	7.73919i	0.245596	+	0.425384i	−0.716703	+	0.697378i	$0.754350\pi$
$332$	−0.483346			−0.0265271
$333$	0.256747	+	13.6940i	0.0140696	+	0.750426i
$334$	26.6716			1.45940
$335$	1.12396	+	1.94676i	0.0614086	+	0.106363i
$336$	−5.72765	−	20.6015i	−0.312469	−	1.12390i
$337$	−0.217398	+	0.376545i	−0.0118424	+	0.0205117i	−0.871886	−	0.489709i	$-0.837103\pi$
$337$	−0.217398	+	0.376545i	−0.0118424	+	0.0205117i	0.860043	+	0.510221i	$0.170436\pi$
$338$	−2.01801	+	3.49530i	−0.109765	+	0.190119i
$339$	−5.99315	−	21.5565i	−0.325503	−	1.17079i
$340$	−0.244296	−	0.423134i	−0.0132488	−	0.0229476i
$341$	0.444132			0.0240511
$342$	−13.2875	+	8.00736i	−0.718507	+	0.432989i
$343$	15.7928			0.852731
$344$	7.57491	+	13.1201i	0.408412	+	0.707390i
$345$	14.9718	+	3.86165i	0.806055	+	0.207904i
$346$	10.5455	−	18.2654i	0.566932	−	0.981955i
$347$	−1.00396	+	1.73891i	−0.0538955	+	0.0933497i	−0.891714	−	0.452598i	$-0.850497\pi$
$347$	−1.00396	+	1.73891i	−0.0538955	+	0.0933497i	0.837819	+	0.545948i	$0.183830\pi$
$348$	−0.354290	+	0.360994i	−0.0189919	+	0.0193513i
$349$	13.1151	+	22.7160i	0.702034	+	1.21596i	0.967751	+	0.251907i	$0.0810578\pi$
$349$	13.1151	+	22.7160i	0.702034	+	1.21596i	−0.265718	+	0.964051i	$0.585609\pi$
$350$	−0.226615			−0.0121131
$351$	19.7796	−	5.90076i	1.05576	−	0.314959i
$352$	0.0703336			0.00374879
$353$	−4.31221	−	7.46896i	−0.229516	−	0.397533i	0.728149	−	0.685419i	$-0.240381\pi$
$353$	−4.31221	−	7.46896i	−0.229516	−	0.397533i	−0.957665	+	0.287886i	$0.907048\pi$
$354$	2.67957	−	2.73028i	0.142418	−	0.145113i
$355$	9.82939	−	17.0250i	0.521690	−	0.903593i
$356$	−0.181905	+	0.315068i	−0.00964092	+	0.0166986i
$357$	9.90092	+	2.55372i	0.524012	+	0.135157i
$358$	3.48364	+	6.03384i	0.184116	+	0.318898i
$359$	30.3509			1.60186			0.800931	−	0.598757i	$-0.204339\pi$
$359$	30.3509			1.60186			0.800931	+	0.598757i	$0.204339\pi$
$360$	16.2135	+	8.95987i	0.854524	+	0.472227i
$361$	−6.31477			−0.332356
$362$	−12.4742	−	21.6059i	−0.655628	−	1.13558i
$363$	5.09730	+	18.3342i	0.267539	+	0.962296i
$364$	−0.630466	+	1.09200i	−0.0330454	+	0.0572363i
$365$	1.62048	−	2.80675i	0.0848197	−	0.146912i
$366$	−9.53874	−	34.3094i	−0.498598	−	1.79338i
$367$	3.54630	+	6.14237i	0.185115	+	0.320629i	0.943615	−	0.331044i	$-0.107401\pi$
$367$	3.54630	+	6.14237i	0.185115	+	0.320629i	−0.758500	+	0.651673i	$0.774068\pi$
$368$	16.6969			0.870385
$369$	−22.5118	−	12.4404i	−1.17192	−	0.647624i
$370$	14.9009			0.774661
$371$	−3.76384	−	6.51916i	−0.195409	−	0.338458i
$372$	−0.699420	−	0.180400i	−0.0362632	−	0.00935329i
$373$	9.19968	−	15.9343i	0.476341	−	0.825048i	−0.523291	−	0.852154i	$-0.675296\pi$
$373$	9.19968	−	15.9343i	0.476341	−	0.825048i	0.999633	+	0.0271064i	$0.00862930\pi$
$374$	−0.168047	+	0.291066i	−0.00868951	+	0.0150507i
$375$	−13.4911	+	13.7464i	−0.696675	+	0.709860i
$376$	14.2088	+	24.6104i	0.732763	+	1.26918i
$377$	−10.7305			−0.552648
$378$	21.2277	−	6.33276i	1.09184	−	0.325722i
$379$	−6.57174			−0.337568			−0.168784	−	0.985653i	$-0.553984\pi$
$379$	−6.57174			−0.337568			−0.168784	+	0.985653i	$0.553984\pi$
$380$	0.432767	+	0.749574i	0.0222005	+	0.0384523i
$381$	−17.2461	+	17.5724i	−0.883543	+	0.900264i
$382$	4.71948	−	8.17437i	0.241469	−	0.418237i
$383$	−14.1359	+	24.4842i	−0.722313	+	1.25108i	0.237757	+	0.971325i	$0.423588\pi$
$383$	−14.1359	+	24.4842i	−0.722313	+	1.25108i	−0.960070	+	0.279759i	$0.909746\pi$
$384$	20.3663	+	5.25304i	1.03931	+	0.268068i
$385$	0.379964	+	0.658117i	0.0193648	+	0.0335407i
$386$	−30.2663			−1.54051
$387$	−14.1714	+	8.54002i	−0.720374	+	0.434113i
$388$	−2.03727			−0.103427
$389$	−0.617828	−	1.07011i	−0.0313251	−	0.0542567i	0.849938	−	0.526883i	$-0.176639\pi$
$389$	−0.617828	−	1.07011i	−0.0313251	−	0.0542567i	−0.881263	+	0.472626i	$0.843306\pi$
$390$	−6.01518	−	21.6357i	−0.304591	−	1.09557i
$391$	−3.99209	+	6.91451i	−0.201889	+	0.349682i
$392$	2.22689	−	3.85709i	0.112475	−	0.194812i
$393$	2.95878	+	10.6423i	0.149250	+	0.536832i
$394$	4.41846	+	7.65299i	0.222599	+	0.385552i
$395$	16.2360			0.816922
$396$	0.000699964		0.0373337i	3.51745e−5		0.00187609i
$397$	−22.9710			−1.15288			−0.576442	−	0.817138i	$-0.695559\pi$
$397$	−22.9710			−1.15288			−0.576442	+	0.817138i	$0.695559\pi$
$398$	−5.93751	−	10.2841i	−0.297621	−	0.515494i
$399$	−17.5393	−	4.52387i	−0.878063	−	0.226477i
$400$	0.111748	−	0.193553i	0.00558741	−	0.00967767i
$401$	7.21833	−	12.5025i	0.360466	−	0.624346i	−0.627571	−	0.778559i	$-0.715951\pi$
$401$	7.21833	−	12.5025i	0.360466	−	0.624346i	0.988038	+	0.154213i	$0.0492842\pi$
$402$	−1.76150	+	1.79484i	−0.0878557	+	0.0895183i
$403$	−7.66179	−	13.2706i	−0.381661	−	0.661056i
$404$	−0.796781			−0.0396413
$405$	−9.45178	+	17.8877i	−0.469663	+	0.888846i
$406$	−11.5161			−0.571532
$407$	−0.262819	−	0.455217i	−0.0130275	−	0.0225642i
$408$	−6.70026	+	6.82706i	−0.331712	+	0.337990i
$409$	−6.84421	+	11.8545i	−0.338425	+	0.586169i	−0.984137	−	0.177412i	$-0.943227\pi$
$409$	−6.84421	+	11.8545i	−0.338425	+	0.586169i	0.645712	+	0.763581i	$0.276561\pi$
$410$	−13.9912	+	24.2335i	−0.690978	+	1.19681i
$411$	23.4885	+	6.05833i	1.15860	+	0.298835i
$412$	−0.807410	−	1.39847i	−0.0397782	−	0.0688979i
$413$	4.46654			0.219784
$414$	0.324253	+	17.2946i	0.0159362	+	0.849981i
$415$	10.0505			0.493358
$416$	−1.21333	−	2.10156i	−0.0594886	−	0.103037i
$417$	−0.327416	−	1.17766i	−0.0160336	−	0.0576705i
$418$	0.297692	−	0.515619i	0.0145606	−	0.0252197i
$419$	−6.10686	+	10.5774i	−0.298339	+	0.516739i	−0.975756	−	0.218860i	$-0.929766\pi$
$419$	−6.10686	+	10.5774i	−0.298339	+	0.516739i	0.677417	+	0.735599i	$0.263099\pi$
$420$	−0.331050	−	1.19074i	−0.0161536	−	0.0581021i
$421$	−17.9349	−	31.0641i	−0.874093	−	1.51397i	−0.857726	−	0.514107i	$-0.828124\pi$
$421$	−17.9349	−	31.0641i	−0.874093	−	1.51397i	−0.0163664	−	0.999866i	$-0.505210\pi$
$422$	−5.93399			−0.288862
$423$	−26.5824	+	16.0191i	−1.29248	+	0.778877i
$424$	7.04231			0.342005
$425$	0.0534362	+	0.0925542i	0.00259204	+	0.00448954i
$426$	21.2959	+	5.49281i	1.03179	+	0.266127i
$427$	20.7889	−	36.0075i	1.00605	−	1.74252i
$428$	−0.500262	+	0.866479i	−0.0241811	+	0.0418828i
$429$	−0.554867	+	0.565368i	−0.0267892	+	0.0272962i
$430$	9.00041	+	15.5892i	0.434038	+	0.751776i
$431$	38.6150			1.86002			0.930010	−	0.367534i	$-0.119798\pi$
$431$	38.6150			1.86002			0.930010	+	0.367534i	$0.119798\pi$
$432$	−5.05894	+	21.2536i	−0.243398	+	1.02256i
$433$	5.70925			0.274369			0.137185	−	0.990546i	$-0.456195\pi$
$433$	5.70925			0.274369			0.137185	+	0.990546i	$0.456195\pi$
$434$	−8.22271	−	14.2421i	−0.394703	−	0.683645i
$435$	7.36693	−	7.50635i	0.353217	−	0.359902i
$436$	0.657063	−	1.13807i	0.0314676	−	0.0545035i
$437$	7.07192	−	12.2489i	0.338296	−	0.585946i
$438$	3.51085	+	0.905547i	0.167755	+	0.0432687i
$439$	6.88150	+	11.9191i	0.328436	+	0.568868i	0.982202	−	0.187829i	$-0.0601451\pi$
$439$	6.88150	+	11.9191i	0.328436	+	0.568868i	−0.653766	+	0.756697i	$0.726812\pi$
$440$	−0.710930			−0.0338922
$441$	4.25733	+	2.35268i	0.202730	+	0.112032i
$442$	11.5960			0.551566
$443$	−5.45381	−	9.44628i	−0.259118	−	0.448806i	0.706888	−	0.707326i	$-0.250099\pi$
$443$	−5.45381	−	9.44628i	−0.259118	−	0.448806i	−0.966006	+	0.258520i	$0.916765\pi$
$444$	0.228986	+	0.823628i	0.0108672	+	0.0390877i
$445$	3.78244	−	6.55137i	0.179305	−	0.310565i
$446$	−12.3289	+	21.3543i	−0.583791	+	1.01116i
$447$	−2.59242	−	9.32453i	−0.122617	−	0.441035i
$448$	11.0432	+	19.1275i	0.521744	+	0.903688i
$449$	18.2300			0.860329			0.430164	−	0.902751i	$-0.358456\pi$
$449$	18.2300			0.860329			0.430164	+	0.902751i	$0.358456\pi$
$450$	0.202652	+	0.111989i	0.00955310	+	0.00527923i
$451$	0.987099			0.0464807
$452$	−0.698244	−	1.20939i	−0.0328427	−	0.0568851i
$453$	−9.91984	−	2.55860i	−0.466075	−	0.120214i
$454$	10.9552	−	18.9750i	0.514153	−	0.890540i
$455$	13.1096	−	22.7065i	0.614588	−	1.06450i
$456$	11.8694	−	12.0940i	0.555835	−	0.566354i
$457$	−0.173957	−	0.301302i	−0.00813734	−	0.0140943i	0.861928	−	0.507031i	$-0.169257\pi$
$457$	−0.173957	−	0.301302i	−0.00813734	−	0.0140943i	−0.870065	+	0.492936i	$0.835924\pi$
$458$	−12.2454			−0.572190
$459$	−7.59197	−	7.17657i	−0.354363	−	0.334974i
$460$	0.965057			0.0449960
$461$	−9.66182	−	16.7348i	−0.449996	−	0.779415i	0.548389	−	0.836223i	$-0.315241\pi$
$461$	−9.66182	−	16.7348i	−0.449996	−	0.779415i	−0.998385	+	0.0568077i	$0.981908\pi$
$462$	−0.595489	+	0.606758i	−0.0277047	+	0.0282290i
$463$	11.4688	−	19.8646i	0.533002	−	0.923187i	−0.466255	−	0.884651i	$-0.654397\pi$
$463$	11.4688	−	19.8646i	0.533002	−	0.923187i	0.999257	−	0.0385369i	$-0.0122697\pi$
$464$	5.67879	−	9.83596i	0.263631	−	0.456623i
$465$	14.5434	+	3.75115i	0.674434	+	0.173955i
$466$	−13.2374	−	22.9279i	−0.613211	−	1.06211i
$467$	−15.8574			−0.733791			−0.366895	−	0.930262i	$-0.619579\pi$
$467$	−15.8574			−0.733791			−0.366895	+	0.930262i	$0.619579\pi$
$468$	1.10345	−	0.664963i	0.0510069	−	0.0307379i
$469$	−2.93622			−0.135582
$470$	16.8827	+	29.2417i	0.778742	+	1.34882i
$471$	−5.68465	−	20.4468i	−0.261935	−	0.942140i
$472$	−2.08927	+	3.61873i	−0.0961666	+	0.166565i
$473$	0.317495	−	0.549918i	0.0145984	−	0.0252852i
$474$	4.86536	+	17.5000i	0.223473	+	0.803800i
$475$	−0.0946612	−	0.163958i	−0.00434336	−	0.00752291i
$476$	0.638196			0.0292517
$477$	0.144176	+	7.68984i	0.00660136	+	0.352094i
$478$	39.9149			1.82567
$479$	−4.60684	−	7.97928i	−0.210492	−	0.364582i	0.741377	−	0.671089i	$-0.234173\pi$
$479$	−4.60684	−	7.97928i	−0.210492	−	0.364582i	−0.951869	+	0.306507i	$0.900840\pi$
$480$	2.30312	+	0.594038i	0.105123	+	0.0271140i
$481$	−9.06787	+	15.7060i	−0.413459	+	0.716132i
$482$	−12.8729	+	22.2965i	−0.586345	+	1.01558i
$483$	−14.1463	+	14.4140i	−0.643680	+	0.655861i
$484$	0.593871	+	1.02861i	0.0269941	+	0.0467552i
$485$	42.3620			1.92356
$486$	−22.1126	−	4.82729i	−1.00305	−	0.218970i
$487$	−32.3643			−1.46657			−0.733284	−	0.679923i	$-0.762013\pi$
$487$	−32.3643			−1.46657			−0.733284	+	0.679923i	$0.762013\pi$
$488$	19.4485	+	33.6858i	0.880393	+	1.52489i
$489$	8.07132	−	8.22406i	0.364998	−	0.371905i
$490$	2.64596	−	4.58294i	0.119532	−	0.207036i
$491$	16.6481	−	28.8353i	0.751318	−	1.30132i	−0.195866	−	0.980631i	$-0.562752\pi$
$491$	16.6481	−	28.8353i	0.751318	−	1.30132i	0.947184	−	0.320690i	$-0.103915\pi$
$492$	−1.55448	−	0.400944i	−0.0700815	−	0.0180760i
$493$	2.71551	+	4.70340i	0.122300	+	0.211830i
$494$	−20.5421			−0.924234
$495$	−0.0145547	−	0.776298i	−0.000654186	−	0.0348920i
$496$	16.2191			0.728260
$497$	12.8391	+	22.2379i	0.575911	+	0.997507i
$498$	3.01177	+	10.8329i	0.134961	+	0.485434i
$499$	−5.08641	+	8.80993i	−0.227699	+	0.394387i	−0.957126	−	0.289672i	$-0.906454\pi$
$499$	−5.08641	+	8.80993i	−0.227699	+	0.394387i	0.729427	+	0.684059i	$0.239787\pi$
$500$	−0.601081	+	1.04110i	−0.0268811	+	0.0465595i
$501$	−8.52263	−	30.6546i	−0.380763	−	1.36955i
$502$	22.2467	+	38.5324i	0.992918	+	1.71978i
$503$	−14.0191			−0.625079			−0.312539	−	0.949905i	$-0.601180\pi$
$503$	−14.0191			−0.625079			−0.312539	+	0.949905i	$0.601180\pi$
$504$	−20.7243	+	12.4889i	−0.923134	+	0.556301i
$505$	16.5679			0.737261
$506$	−0.331923	−	0.574907i	−0.0147558	−	0.0255577i
$507$	4.66210	+	1.20249i	0.207051	+	0.0534043i
$508$	−0.768381	+	1.33088i	−0.0340914	+	0.0590481i
$509$	13.2733	−	22.9900i	0.588327	−	1.01901i	−0.406124	−	0.913818i	$-0.633120\pi$
$509$	13.2733	−	22.9900i	0.588327	−	1.01901i	0.994452	−	0.105195i	$-0.0335467\pi$
$510$	−7.96116	+	8.11183i	−0.352526	+	0.359198i
$511$	2.11666	+	3.66616i	0.0936353	+	0.162181i
$512$	−20.5303			−0.907322
$513$	13.4490	+	12.7132i	0.593790	+	0.561300i
$514$	19.3236			0.852328
$515$	16.7889	+	29.0792i	0.739807	+	1.28138i
$516$	−0.723360	+	0.737049i	−0.0318441	+	0.0324468i
$517$	0.595549	−	1.03152i	0.0261922	−	0.0453662i
$518$	−9.73172	+	16.8558i	−0.427587	+	0.740603i
$519$	−24.3628	−	6.28385i	−1.06941	−	0.275830i
$520$	12.2643	+	21.2425i	0.537827	+	0.931544i
$521$	−36.2642			−1.58876			−0.794382	−	0.607418i	$-0.792205\pi$
$521$	−36.2642			−1.58876			−0.794382	+	0.607418i	$0.792205\pi$
$522$	10.2983	+	5.69105i	0.450745	+	0.249091i
$523$	34.4102			1.50465			0.752326	−	0.658791i	$-0.228932\pi$
$523$	34.4102			1.50465			0.752326	+	0.658791i	$0.228932\pi$
$524$	0.344718	+	0.597070i	0.0150591	+	0.0260831i
$525$	0.0724123	+	0.260456i	0.00316033	+	0.0113672i
$526$	10.5704	−	18.3084i	0.460891	−	0.798286i
$527$	−3.87786	+	6.71666i	−0.168922	+	0.292582i
$528$	−0.224590	−	0.807816i	−0.00977403	−	0.0351557i
$529$	3.61491	+	6.26120i	0.157170	+	0.272226i
$530$	8.36759			0.363465
$531$	−3.99424	−	2.20729i	−0.173335	−	0.0957883i
$532$	−1.13055			−0.0490157
$533$	−17.0286	−	29.4944i	−0.737590	−	1.27754i
$534$	8.19486	+	2.11368i	0.354626	+	0.0914679i
$535$	10.4022	−	18.0172i	0.449727	−	0.778950i
$536$	1.37345	−	2.37889i	0.0593240	−	0.102752i
$537$	5.82175	−	5.93192i	0.251227	−	0.255981i
$538$	1.92485	+	3.33394i	0.0829861	+	0.143736i
$539$	−0.186676			−0.00804070
$540$	−0.292400	+	1.22843i	−0.0125829	+	0.0528631i
$541$	−32.4529			−1.39526			−0.697630	−	0.716458i	$-0.745762\pi$
$541$	−32.4529			−1.39526			−0.697630	+	0.716458i	$0.745762\pi$
$542$	16.7257	+	28.9697i	0.718430	+	1.24436i
$543$	−20.8464	+	21.2409i	−0.894606	+	0.911536i
$544$	−0.614105	+	1.06366i	−0.0263295	+	0.0456041i
$545$	−13.6627	+	23.6644i	−0.585244	+	1.01367i
$546$	28.4027	+	7.32585i	1.21552	+	0.313517i
$547$	−2.28184	−	3.95226i	−0.0975645	−	0.168987i	0.813112	−	0.582108i	$-0.197772\pi$
$547$	−2.28184	−	3.95226i	−0.0975645	−	0.168987i	−0.910676	+	0.413121i	$0.864439\pi$
$548$	1.51403			0.0646760
$549$	−36.3850	+	21.9264i	−1.55287	+	0.935797i
$550$	−0.00888591			−0.000378896
$551$	−4.81047	−	8.33199i	−0.204933	−	0.354955i
$552$	−5.06095	−	18.2035i	−0.215408	−	0.774792i
$553$	−10.6037	+	18.3661i	−0.450914	+	0.781006i
$554$	7.78749	−	13.4883i	0.330859	−	0.573064i
$555$	−4.76143	−	17.1261i	−0.202111	−	0.726964i
$556$	−0.0381462	−	0.0660712i	−0.00161776	−	0.00280204i
$557$	26.7305			1.13261			0.566304	−	0.824196i	$-0.308373\pi$
$557$	26.7305			1.13261			0.566304	+	0.824196i	$0.308373\pi$
$558$	0.314975	+	16.7997i	0.0133340	+	0.711188i
$559$	−21.9086			−0.926636
$560$	13.8758	+	24.0335i	0.586358	+	1.01560i
$561$	0.388230	+	0.100135i	0.0163911	+	0.00422772i
$562$	17.5818	−	30.4525i	0.741642	−	1.28456i
$563$	−9.42969	+	16.3327i	−0.397414	+	0.688341i	−0.993406	−	0.114649i	$-0.963426\pi$
$563$	−9.42969	+	16.3327i	−0.397414	+	0.688341i	0.595992	+	0.802990i	$0.296759\pi$
$564$	−1.35686	+	1.38254i	−0.0571340	+	0.0582153i
$565$	14.5190	+	25.1476i	0.610817	+	1.05797i
$566$	−26.3510			−1.10761
$567$	−14.0616	−	22.3742i	−0.590530	−	0.939628i
$568$	−24.0225			−1.00796
$569$	−13.7755	−	23.8598i	−0.577497	−	1.00025i	−0.995765	−	0.0919307i	$-0.970696\pi$
$569$	−13.7755	−	23.8598i	−0.577497	−	1.00025i	0.418268	−	0.908323i	$-0.362637\pi$
$570$	14.1031	−	14.3700i	0.590712	−	0.601891i
$571$	18.9760	−	32.8674i	0.794120	−	1.37546i	−0.129276	−	0.991609i	$-0.541265\pi$
$571$	18.9760	−	32.8674i	0.794120	−	1.37546i	0.923396	−	0.383848i	$-0.125401\pi$
$572$	−0.0247216	+	0.0428190i	−0.00103366	+	0.00179035i
$573$	−10.9032	−	2.81223i	−0.455486	−	0.117482i
$574$	−18.2752	−	31.6536i	−0.762794	−	1.32120i
$575$	−0.211092			−0.00880314
$576$	−0.423017	−	22.5623i	−0.0176257	−	0.940096i
$577$	19.6537			0.818196			0.409098	−	0.912490i	$-0.365843\pi$
$577$	19.6537			0.818196			0.409098	+	0.912490i	$0.365843\pi$
$578$	9.40688	+	16.2932i	0.391274	+	0.677707i
$579$	9.67127	+	34.7861i	0.401924	+	1.44566i
$580$	0.328226	−	0.568505i	0.0136289	−	0.0236059i
$581$	−6.56392	+	11.3691i	−0.272317	+	0.471668i
$582$	12.6944	+	45.6599i	0.526200	+	1.89266i
$583$	−0.147586	−	0.255626i	−0.00611238	−	0.0105870i
$584$	−3.96036			−0.163881
$585$	−22.9446	+	13.8269i	−0.948642	+	0.571673i
$586$	37.9600			1.56811
$587$	4.59691	+	7.96207i	0.189735	+	0.328630i	0.945162	−	0.326603i	$-0.105904\pi$
$587$	4.59691	+	7.96207i	0.189735	+	0.328630i	−0.755427	+	0.655233i	$0.772571\pi$
$588$	0.293977	+	0.0758249i	0.0121234	+	0.00312697i
$589$	6.86956	−	11.8984i	0.283055	−	0.490266i
$590$	−2.48245	+	4.29972i	−0.102201	+	0.177017i
$591$	7.38399	−	7.52372i	0.303737	−	0.309485i
$592$	−9.59781	−	16.6239i	−0.394467	−	0.683238i
$593$	41.9668			1.72337			0.861686	−	0.507442i	$-0.169409\pi$
$593$	41.9668			1.72337			0.861686	+	0.507442i	$0.169409\pi$
$594$	0.832371	−	0.248317i	0.0341526	−	0.0101886i
$595$	−13.2703			−0.544031
$596$	−0.302035	−	0.523140i	−0.0123718	−	0.0214286i
$597$	−9.92258	+	10.1104i	−0.406104	+	0.413790i
$598$	−11.4521	+	19.8356i	−0.468311	+	0.811138i
$599$	−11.3478	+	19.6549i	−0.463658	+	0.803079i	−0.999140	−	0.0414679i	$-0.986797\pi$
$599$	−11.3478	+	19.6549i	−0.463658	+	0.803079i	0.535482	+	0.844547i	$0.320130\pi$
$600$	−0.244890	−	0.0631639i	−0.00999758	−	0.00257865i
$601$	15.7555	+	27.2893i	0.642680	+	1.11315i	0.984832	+	0.173510i	$0.0555108\pi$
$601$	15.7555	+	27.2893i	0.642680	+	1.11315i	−0.342152	+	0.939645i	$0.611156\pi$
$602$	−23.5125			−0.958299
$603$	2.62574	+	1.45103i	0.106928	+	0.0590907i
$604$	−0.639415			−0.0260174
$605$	−12.3487	−	21.3885i	−0.502045	−	0.869568i
$606$	4.96481	+	17.8577i	0.201682	+	0.725419i
$607$	−15.0952	+	26.1456i	−0.612693	+	1.06122i	0.378091	+	0.925768i	$0.376581\pi$
$607$	−15.0952	+	26.1456i	−0.612693	+	1.06122i	−0.990784	+	0.135448i	$0.956753\pi$
$608$	1.08788	−	1.88426i	0.0441192	−	0.0764167i
$609$	3.67983	+	13.2358i	0.149114	+	0.536342i
$610$	23.1085	+	40.0251i	0.935635	+	1.62057i
$611$	−41.0956			−1.66255
$612$	−0.570712	−	0.315387i	−0.0230697	−	0.0127487i
$613$	−32.4328			−1.30995			−0.654975	−	0.755651i	$-0.727321\pi$
$613$	−32.4328			−1.30995			−0.654975	+	0.755651i	$0.727321\pi$
$614$	−10.8600	−	18.8101i	−0.438274	−	0.759113i
$615$	32.3232	+	8.33705i	1.30340	+	0.336182i
$616$	0.464306	−	0.804201i	0.0187074	−	0.0324022i
$617$	−14.0753	+	24.3791i	−0.566649	+	0.981465i	0.430245	+	0.902712i	$0.358427\pi$
$617$	−14.0753	+	24.3791i	−0.566649	+	0.981465i	−0.996894	+	0.0787531i	$0.974906\pi$
$618$	−26.3120	+	26.8099i	−1.05842	+	1.07845i
$619$	13.0641	+	22.6276i	0.525089	+	0.909480i	0.999573	+	0.0292163i	$0.00930117\pi$
$619$	13.0641	+	22.6276i	0.525089	+	0.909480i	−0.474484	+	0.880264i	$0.657365\pi$
$620$	0.937442			0.0376486
$621$	19.7736	−	5.89897i	0.793489	−	0.236718i
$622$	10.3157			0.413623
$623$	4.94059	+	8.55735i	0.197941	+	0.342843i
$624$	−20.2630	+	20.6465i	−0.811169	+	0.826520i
$625$	12.6315	−	21.8784i	0.505259	−	0.875134i
$626$	8.60083	−	14.8971i	0.343758	−	0.595407i
$627$	−0.687743	−	0.177388i	−0.0274658	−	0.00708420i
$628$	−0.662302	−	1.14714i	−0.0264287	−	0.0457759i
$629$	9.17904			0.365992
$630$	−24.6244	+	14.8392i	−0.981058	+	0.591207i
$631$	11.6419			0.463457			0.231729	−	0.972780i	$-0.425562\pi$
$631$	11.6419			0.463457			0.231729	+	0.972780i	$0.425562\pi$
$632$	−9.91998	−	17.1819i	−0.394596	−	0.683460i
$633$	1.89614	+	6.82015i	0.0753650	+	0.271076i
$634$	−11.0314	+	19.1070i	−0.438113	+	0.758834i
$635$	15.9774	−	27.6736i	0.634042	−	1.09819i
$636$	0.128587	+	0.462508i	0.00509880	+	0.0183396i
$637$	3.22037	+	5.57785i	0.127596	+	0.221002i
$638$	−0.451562			−0.0178775
$639$	−0.491807	−	26.2313i	−0.0194556	−	1.03769i
$640$	−27.2973			−1.07902
$641$	12.1625	+	21.0660i	0.480389	+	0.832057i	0.999747	−	0.0224991i	$-0.00716230\pi$
$641$	12.1625	+	21.0660i	0.480389	+	0.832057i	−0.519358	+	0.854557i	$0.673829\pi$
$642$	22.5370	+	5.81291i	0.889463	+	0.229417i
$643$	16.1771	−	28.0195i	0.637961	−	1.10498i	−0.347919	−	0.937525i	$-0.613112\pi$
$643$	16.1771	−	28.0195i	0.637961	−	1.10498i	0.985880	−	0.167456i	$-0.0535551\pi$
$644$	−0.630275	+	1.09167i	−0.0248363	+	0.0430178i
$645$	15.0412	−	15.3258i	0.592247	−	0.603455i
$646$	5.19850	+	9.00406i	0.204532	+	0.354260i
$647$	−6.83397			−0.268671			−0.134335	−	0.990936i	$-0.542890\pi$
$647$	−6.83397			−0.268671			−0.134335	+	0.990936i	$0.542890\pi$
$648$	24.7047	−	0.926697i	0.970493	−	0.0364041i
$649$	0.175140			0.00687484
$650$	0.153292	+	0.265510i	0.00601261	+	0.0104141i
$651$	−13.7415	+	14.0016i	−0.538573	+	0.548765i
$652$	0.359610	−	0.622862i	0.0140834	−	0.0243932i
$653$	−7.23810	+	12.5368i	−0.283249	+	0.490601i	−0.972183	−	0.234223i	$-0.924746\pi$
$653$	−7.23810	+	12.5368i	−0.283249	+	0.490601i	0.688934	+	0.724824i	$0.258079\pi$
$654$	−29.6009	−	7.63489i	−1.15749	−	0.298548i
$655$	−7.16791	−	12.4152i	−0.280073	−	0.485101i
$656$	36.0475			1.40742
$657$	−0.0810796	−	4.32451i	−0.00316322	−	0.168715i
$658$	−44.1042			−1.71936
$659$	−6.57937	−	11.3958i	−0.256296	−	0.443917i	0.708951	−	0.705258i	$-0.249169\pi$
$659$	−6.57937	−	11.3958i	−0.256296	−	0.443917i	−0.965247	+	0.261341i	$0.915835\pi$
$660$	−0.0129810	−	0.0466907i	−0.000505284	−	0.00181743i
$661$	−0.221714	+	0.384020i	−0.00862368	+	0.0149367i	−0.870305	−	0.492513i	$-0.836078\pi$
$661$	−0.221714	+	0.384020i	−0.00862368	+	0.0149367i	0.861681	+	0.507450i	$0.169412\pi$
$662$	6.48756	−	11.2368i	0.252146	−	0.436730i
$663$	−3.70539	−	13.3277i	−0.143905	−	0.517606i
$664$	−6.14070	−	10.6360i	−0.238305	−	0.412757i
$665$	23.5082			0.911608
$666$	17.0326	−	10.2642i	0.659999	−	0.397730i
$667$	−10.7272			−0.415360
$668$	−0.992946	−	1.71983i	−0.0384182	−	0.0665423i
$669$	28.4828	+	7.34652i	1.10121	+	0.284033i
$670$	1.63192	−	2.82656i	0.0630464	−	0.109200i
$671$	0.815166	−	1.41191i	0.0314691	−	0.0545062i
$672$	−2.17613	+	2.21731i	−0.0839461	+	0.0855348i
$673$	−13.2628	−	22.9718i	−0.511243	−	0.885499i	−0.999915	−	0.0130316i	$-0.995852\pi$
$673$	−13.2628	−	22.9718i	−0.511243	−	0.885499i	0.488672	−	0.872468i	$-0.337482\pi$
$674$	0.631295			0.0243166
$675$	0.0639581	−	0.268700i	0.00246175	−	0.0103423i
$676$	0.300511			0.0115581
$677$	−8.16844	−	14.1482i	−0.313939	−	0.543758i	0.665273	−	0.746601i	$-0.268315\pi$
$677$	−8.16844	−	14.1482i	−0.313939	−	0.543758i	−0.979211	+	0.202843i	$0.934982\pi$
$678$	−22.7545	+	23.1851i	−0.873881	+	0.890419i
$679$	−27.6665	+	47.9198i	−1.06174	+	1.83899i
$680$	6.20736	−	10.7515i	0.238041	−	0.412300i
$681$	−25.3092	−	6.52795i	−0.969852	−	0.250152i
$682$	−0.322425	−	0.558457i	−0.0123463	−	0.0213844i
$683$	−7.08340			−0.271039			−0.135519	−	0.990775i	$-0.543270\pi$
$683$	−7.08340			−0.271039			−0.135519	+	0.990775i	$0.543270\pi$
$684$	1.01101	+	0.558702i	0.0386568	+	0.0213625i
$685$	−31.4819			−1.20286
$686$	−11.4650	−	19.8580i	−0.437737	−	0.758183i
$687$	3.91289	+	14.0741i	0.149286	+	0.536960i
$688$	11.5945	−	20.0823i	0.442036	−	0.765629i
$689$	−5.09205	+	8.81969i	−0.193992	+	0.336003i
$690$	−6.01336	−	21.6291i	−0.228925	−	0.823407i
$691$	1.50119	+	2.60013i	0.0571079	+	0.0989137i	0.893166	−	0.449727i	$-0.148479\pi$
$691$	1.50119	+	2.60013i	0.0571079	+	0.0989137i	−0.836058	+	0.548641i	$0.815145\pi$
$692$	−1.57038			−0.0596971
$693$	0.887651	+	0.490533i	0.0337191	+	0.0186338i
$694$	2.91537			0.110666
$695$	0.793195	+	1.37385i	0.0300876	+	0.0521132i
$696$	−12.4448	−	3.20985i	−0.471717	−	0.121669i
$697$	−8.61868	+	14.9280i	−0.326456	+	0.565438i
$698$	19.0422	−	32.9821i	0.720758	−	1.24839i
$699$	−22.1219	+	22.5406i	−0.836728	+	0.852563i
$700$	0.00843655	+	0.0146125i	0.000318871	+	0.000552302i
$701$	41.6138			1.57173			0.785867	−	0.618396i	$-0.212217\pi$
$701$	41.6138			1.57173			0.785867	+	0.618396i	$0.212217\pi$
$702$	−21.7790	−	20.5874i	−0.821997	−	0.777020i
$703$	−16.2605			−0.613277
$704$	0.433023	+	0.750018i	0.0163202	+	0.0282674i
$705$	28.2139	−	28.7478i	1.06260	−	1.08270i
$706$	−6.26103	+	10.8444i	−0.235637	+	0.408135i
$707$	−10.8204	+	18.7415i	−0.406944	+	0.704847i
$708$	−0.275810	−	0.0711391i	−0.0103656	−	0.00267357i
$709$	−5.29656	−	9.17391i	−0.198916	−	0.344533i	0.749261	−	0.662275i	$-0.230409\pi$
$709$	−5.29656	−	9.17391i	−0.198916	−	0.344533i	−0.948177	+	0.317742i	$0.897076\pi$
$710$	−28.5432			−1.07121
$711$	18.5587	−	11.1839i	0.696004	−	0.419428i
$712$	−9.24407			−0.346436
$713$	−7.65946	−	13.2666i	−0.286849	−	0.496837i
$714$	−3.97666	−	14.3034i	−0.148823	−	0.535293i
$715$	0.514048	−	0.890358i	0.0192243	−	0.0332975i
$716$	0.259382	−	0.449263i	0.00969356	−	0.0167897i
$717$	−12.7544	−	45.8756i	−0.476322	−	1.71326i
$718$	−22.0337	−	38.1636i	−0.822292	−	1.42425i
$719$	−11.7714			−0.439001			−0.219500	−	0.975612i	$-0.570443\pi$
$719$	−11.7714			−0.439001			−0.219500	+	0.975612i	$0.570443\pi$
$720$	−0.531518	−	28.3494i	−0.0198085	−	1.05652i
$721$	−43.8591			−1.63340
$722$	4.58431	+	7.94026i	0.170610	+	0.295506i
$723$	29.7396	+	7.67067i	1.10603	+	0.285275i
$724$	−0.928792	+	1.60872i	−0.0345183	+	0.0597874i
$725$	−0.0717946	+	0.124352i	−0.00266639	+	0.00461831i
$726$	19.3532	−	19.7194i	0.718263	−	0.731856i
$727$	20.9719	+	36.3244i	0.777804	+	1.34720i	0.933205	+	0.359345i	$0.117000\pi$
$727$	20.9719	+	36.3244i	0.777804	+	1.34720i	−0.155401	+	0.987851i	$0.549667\pi$
$728$	−32.0392			−1.18745
$729$	1.51768	+	26.9573i	0.0562103	+	0.998419i
$730$	−4.70565			−0.174164
$731$	5.54430	+	9.60302i	0.205064	+	0.355180i
$732$	−1.85722	+	1.89237i	−0.0686448	+	0.0699439i
$733$	−4.49006	+	7.77701i	−0.165844	+	0.287251i	−0.936955	−	0.349451i	$-0.886368\pi$
$733$	−4.49006	+	7.77701i	−0.165844	+	0.287251i	0.771111	+	0.636701i	$0.219702\pi$
$734$	5.14898	−	8.91830i	0.190052	−	0.329180i
$735$	−6.11282	−	1.57667i	−0.225475	−	0.0581562i
$736$	−1.21297	−	2.10092i	−0.0447105	−	0.0774409i
$737$	−0.115134			−0.00424100
$738$	0.700042	+	37.3379i	0.0257689	+	1.37443i
$739$	13.9617			0.513588			0.256794	−	0.966466i	$-0.417334\pi$
$739$	13.9617			0.513588			0.256794	+	0.966466i	$0.417334\pi$
$740$	−0.554740	−	0.960838i	−0.0203926	−	0.0353211i
$741$	6.56402	+	23.6098i	0.241135	+	0.867328i
$742$	−5.46484	+	9.46538i	−0.200621	+	0.347485i
$743$	8.96967	−	15.5359i	0.329065	−	0.569958i	−0.653261	−	0.757132i	$-0.726600\pi$
$743$	8.96967	−	15.5359i	0.329065	−	0.569958i	0.982327	+	0.187175i	$0.0599331\pi$
$744$	−4.91614	−	17.6826i	−0.180234	−	0.648276i
$745$	6.28037	+	10.8779i	0.230095	+	0.398536i
$746$	−26.7146			−0.978092
$747$	11.4883	−	6.92308i	0.420333	−	0.253302i
$748$	0.0250247			0.000914992
$749$	13.5873	+	23.5339i	0.496469	+	0.859909i
$750$	27.0789	+	6.98439i	0.988781	+	0.255034i
$751$	−15.1096	+	26.1706i	−0.551358	+	0.954980i	0.446819	+	0.894624i	$0.352557\pi$
$751$	−15.1096	+	26.1706i	−0.551358	+	0.954980i	−0.998177	+	0.0603558i	$0.980776\pi$
$752$	21.7486	−	37.6697i	0.793091	−	1.37367i
$753$	37.1779	−	37.8815i	1.35484	−	1.38048i
$754$	7.78996	+	13.4926i	0.283694	+	0.491372i
$755$	13.2957			0.483880
$756$	−1.19863	−	1.13304i	−0.0435936	−	0.0412084i
$757$	−38.6566			−1.40500			−0.702499	−	0.711685i	$-0.747932\pi$
$757$	−38.6566			−1.40500			−0.702499	+	0.711685i	$0.747932\pi$
$758$	4.77086	+	8.26338i	0.173286	+	0.300139i
$759$	−0.554699	+	0.565196i	−0.0201343	+	0.0205153i
$760$	−10.9962	+	19.0460i	−0.398875	+	0.690871i
$761$	−3.81378	+	6.60567i	−0.138250	+	0.239455i	−0.926834	−	0.375471i	$-0.877481\pi$
$761$	−3.81378	+	6.60567i	−0.138250	+	0.239455i	0.788585	+	0.614926i	$0.210814\pi$
$762$	34.6158	+	8.92838i	1.25400	+	0.323441i
$763$	−17.8461	−	30.9103i	−0.646070	−	1.11903i
$764$	−0.702798			−0.0254263
$765$	11.8671	+	6.55800i	0.429056	+	0.237105i
$766$	41.0489			1.48316
$767$	−3.02136	−	5.23315i	−0.109095	−	0.188958i
$768$	−1.20029	−	4.31728i	−0.0433119	−	0.155786i
$769$	−6.59627	+	11.4251i	−0.237868	+	0.411999i	−0.960102	−	0.279649i	$-0.909782\pi$
$769$	−6.59627	+	11.4251i	−0.237868	+	0.411999i	0.722234	+	0.691648i	$0.243115\pi$
$770$	0.551682	−	0.955541i	0.0198812	−	0.0344353i
$771$	−6.17466	−	22.2093i	−0.222375	−	0.799849i
$772$	1.12677	+	1.95162i	0.0405534	+	0.0702405i
$773$	53.0266			1.90724			0.953618	−	0.301019i	$-0.0973269\pi$
$773$	53.0266			1.90724			0.953618	+	0.301019i	$0.0973269\pi$
$774$	21.0263	+	11.6195i	0.755774	+	0.417655i
$775$	−0.205052			−0.00736567
$776$	−25.8826	−	44.8300i	−0.929132	−	1.60930i
$777$	22.4827	+	5.79891i	0.806562	+	0.208035i
$778$	−0.897044	+	1.55373i	−0.0321606	+	0.0557038i
$779$	15.2678	−	26.4447i	0.547027	−	0.947478i
$780$	−1.17117	+	1.19334i	−0.0419347	+	0.0427283i
$781$	0.503440	+	0.871983i	0.0180145	+	0.0312020i
$782$	11.5925			0.414547
$783$	3.25021	−	13.6547i	0.116153	−	0.487981i
$784$	−6.81715			−0.243470
$785$	13.7716	+	23.8531i	0.491529	+	0.851353i
$786$	11.2337	−	11.4463i	0.400694	−	0.408277i
$787$	−22.0277	+	38.1530i	−0.785201	+	1.36001i	0.143678	+	0.989625i	$0.454107\pi$
$787$	−22.0277	+	38.1530i	−0.785201	+	1.36001i	−0.928879	+	0.370384i	$0.879226\pi$
$788$	0.328986	−	0.569821i	0.0117196	−	0.0202990i
$789$	−24.4202	−	6.29865i	−0.869382	−	0.224238i
$790$	−11.7868	−	20.4153i	−0.419355	−	0.726344i
$791$	−37.9291			−1.34860
$792$	−0.812633	+	0.489710i	−0.0288756	+	0.0174011i
$793$	−56.2502			−1.99750
$794$	16.6762	+	28.8840i	0.591816	+	1.02506i
$795$	−2.67377	−	9.61716i	−0.0948290	−	0.341086i
$796$	−0.442091	+	0.765724i	−0.0156695	+	0.0271404i
$797$	−6.78131	+	11.7456i	−0.240206	+	0.416050i	−0.960773	−	0.277336i	$-0.910548\pi$
$797$	−6.78131	+	11.7456i	−0.240206	+	0.416050i	0.720567	+	0.693386i	$0.243882\pi$
$798$	7.04458	+	25.3383i	0.249375	+	0.896965i
$799$	10.3999	+	18.0131i	0.367920	+	0.637257i
$800$	−0.0324723			−0.00114807
$801$	−0.189252	−	10.0940i	−0.00668689	−	0.356656i
$802$	−20.9611			−0.740161
$803$	0.0829974	+	0.143756i	0.00292891	+	0.00507303i
$804$	0.181313	+	0.0467655i	0.00639440	+	0.00164929i
$805$	13.1056	−	22.6996i	0.461913	−	0.800057i
$806$	−11.1244	+	19.2680i	−0.391840	+	0.678687i
$807$	3.21675	−	3.27762i	0.113235	−	0.115378i
$808$	−10.1228	−	17.5331i	−0.356117	−	0.616813i
$809$	−19.2515			−0.676847			−0.338424	−	0.940994i	$-0.609894\pi$
$809$	−19.2515			−0.676847			−0.338424	+	0.940994i	$0.609894\pi$
$810$	29.3538	−	1.10109i	1.03139	−	0.0386883i
$811$	44.8257			1.57404			0.787022	−	0.616925i	$-0.211622\pi$
$811$	44.8257			1.57404			0.787022	+	0.616925i	$0.211622\pi$
$812$	0.428727	+	0.742576i	0.0150454	+	0.0260593i
$813$	27.9514	−	28.4804i	0.980300	−	0.998852i
$814$	−0.381596	+	0.660943i	−0.0133749	+	0.0231661i
$815$	−7.47755	+	12.9515i	−0.261927	+	0.453671i
$816$	14.1777	+	3.65681i	0.496317	+	0.128014i
$817$	−9.82163	−	17.0116i	−0.343616	−	0.595160i
$818$	19.8747			0.694902
$819$	−0.655931	−	34.9851i	−0.0229201	−	1.22248i
$820$	2.08350			0.0727588
$821$	−9.99831	−	17.3176i	−0.348943	−	0.604388i	0.637119	−	0.770766i	$-0.280126\pi$
$821$	−9.99831	−	17.3176i	−0.348943	−	0.604388i	−0.986062	+	0.166378i	$0.946793\pi$
$822$	−9.43403	−	33.9328i	−0.329050	−	1.18354i
$823$	−25.5298	+	44.2189i	−0.889913	+	1.54137i	−0.0499365	+	0.998752i	$0.515902\pi$
$823$	−25.5298	+	44.2189i	−0.889913	+	1.54137i	−0.839977	+	0.542622i	$0.817431\pi$
$824$	20.5156	−	35.5340i	0.714694	−	1.23789i
$825$	0.00283940	+	0.0102129i	9.88552e−5	+	0.000355567i
$826$	−3.24255	−	5.61627i	−0.112823	−	0.195415i
$827$	40.1921			1.39762			0.698809	−	0.715308i	$-0.253714\pi$
$827$	40.1921			1.39762			0.698809	+	0.715308i	$0.253714\pi$
$828$	1.10311	−	0.664761i	0.0383359	−	0.0231020i
$829$	26.1411			0.907917			0.453958	−	0.891023i	$-0.350011\pi$
$829$	26.1411			0.907917			0.453958	+	0.891023i	$0.350011\pi$
$830$	−7.29630	−	12.6376i	−0.253258	−	0.438656i
$831$	−17.9910	−	4.64038i	−0.624102	−	0.160973i
$832$	14.9403	−	25.8773i	0.517961	−	0.897134i
$833$	1.62993	−	2.82312i	0.0564736	−	0.0978152i
$834$	−1.24311	+	1.26664i	−0.0430455	+	0.0438602i
$835$	20.6469	+	35.7614i	0.714514	+	1.23757i
$836$	−0.0443307			−0.00153321
$837$	19.2078	−	5.73018i	0.663920	−	0.198064i
$838$	17.7335			0.612593
$839$	25.8772	+	44.8206i	0.893380	+	1.54738i	0.835796	+	0.549040i	$0.185006\pi$
$839$	25.8772	+	44.8206i	0.893380	+	1.54738i	0.0575840	+	0.998341i	$0.481660\pi$
$840$	21.9963	−	22.4125i	0.758944	−	0.773306i
$841$	10.8516	−	18.7954i	0.374192	−	0.648119i
$842$	−26.0402	+	45.1030i	−0.897406	+	1.55435i
$843$	−40.6182	−	10.4766i	−1.39897	−	0.360832i
$844$	0.220914	+	0.382635i	0.00760418	+	0.0131708i
$845$	−6.24868			−0.214961
$846$	39.4405	+	21.7956i	1.35599	+	0.749348i
$847$	32.2595			1.10845
$848$	−5.38964	−	9.33513i	−0.185081	−	0.320570i
$849$	8.42017	+	30.2861i	0.288980	+	1.03942i
$850$	0.0775857	−	0.134382i	0.00266117	−	0.00460928i
$851$	−9.06511	+	15.7012i	−0.310748	+	0.538232i
$852$	−0.438631	−	1.57769i	−0.0150272	−	0.0540507i
$853$	−26.9288	−	46.6420i	−0.922024	−	1.59699i	−0.796279	−	0.604929i	$-0.793201\pi$
$853$	−26.9288	−	46.6420i	−0.922024	−	1.59699i	−0.125745	−	0.992063i	$-0.540132\pi$
$854$	−60.3682			−2.06576
$855$	−21.0224	−	11.6174i	−0.718950	−	0.397306i
$856$	−25.4224			−0.868921
$857$	−26.4920	−	45.8855i	−0.904949	−	1.56742i	−0.820986	−	0.570948i	$-0.806576\pi$
$857$	−26.4920	−	45.8855i	−0.904949	−	1.56742i	−0.0839628	−	0.996469i	$-0.526758\pi$
$858$	1.11371	+	0.287258i	0.0380216	+	0.00980682i
$859$	12.3190	−	21.3372i	0.420320	−	0.728016i	−0.575650	−	0.817696i	$-0.695251\pi$
$859$	12.3190	−	21.3372i	0.420320	−	0.728016i	0.995971	+	0.0896799i	$0.0285844\pi$
$860$	0.670146	−	1.16073i	0.0228518	−	0.0395804i
$861$	−30.5410	+	31.1190i	−1.04083	+	1.06053i
$862$	−28.0332	−	48.5549i	−0.954814	−	1.65379i
$863$	−26.7900			−0.911941			−0.455970	−	0.889995i	$-0.650708\pi$
$863$	−26.7900			−0.911941			−0.455970	+	0.889995i	$0.650708\pi$
$864$	3.04179	−	0.907441i	0.103484	−	0.0308718i
$865$	32.6538			1.11026
$866$	−4.14472	−	7.17887i	−0.140843	−	0.243948i
$867$	15.7205	−	16.0180i	0.533895	−	0.543999i
$868$	−0.612240	+	1.06043i	−0.0207808	+	0.0359934i
$869$	−0.415786	+	0.720163i	−0.0141046	+	0.0244299i
$870$	−14.7867	−	3.81390i	−0.501316	−	0.129303i
$871$	1.98619	+	3.44018i	0.0672994	+	0.116566i
$872$	33.3908			1.13075
$873$	48.4222	−	29.1803i	1.63884	−	0.987603i
$874$	−20.5359			−0.694637
$875$	16.3256	+	28.2767i	0.551905	+	0.955927i
$876$	−0.0723129	−	0.260099i	−0.00244323	−	0.00878792i
$877$	−4.27998	+	7.41314i	−0.144525	+	0.250324i	−0.929196	−	0.369589i	$-0.879499\pi$
$877$	−4.27998	+	7.41314i	−0.144525	+	0.250324i	0.784671	+	0.619913i	$0.212832\pi$
$878$	9.99147	−	17.3057i	0.337196	−	0.584040i
$879$	−12.1297	−	43.6288i	−0.409125	−	1.47156i
$880$	0.544090	+	0.942392i	0.0183413	+	0.0317680i
$881$	−12.5327			−0.422239			−0.211120	−	0.977460i	$-0.567711\pi$
$881$	−12.5327			−0.422239			−0.211120	+	0.977460i	$0.567711\pi$
$882$	−0.132389	−	7.06117i	−0.00445777	−	0.237762i
$883$	31.3974			1.05661			0.528303	−	0.849056i	$-0.322829\pi$
$883$	31.3974			1.05661			0.528303	+	0.849056i	$0.322829\pi$
$884$	−0.431704	−	0.747733i	−0.0145198	−	0.0251490i
$885$	5.73507	+	1.47923i	0.192782	+	0.0497239i
$886$	−7.91856	+	13.7153i	−0.266029	+	0.460776i
$887$	−22.6069	+	39.1564i	−0.759067	+	1.31474i	0.184260	+	0.982878i	$0.441011\pi$
$887$	−22.6069	+	39.1564i	−0.759067	+	1.31474i	−0.943327	+	0.331865i	$0.892322\pi$
$888$	−15.2147	+	15.5027i	−0.510573	+	0.520235i
$889$	20.8695	+	36.1470i	0.699941	+	1.21233i
$890$	−10.9837			−0.368174
$891$	−0.551375	−	0.877327i	−0.0184718	−	0.0293916i
$892$	1.83595			0.0614723
$893$	−18.4231	−	31.9098i	−0.616507	−	1.06782i
$894$	−9.84275	+	10.0290i	−0.329191	+	0.335421i
$895$	−5.39347	+	9.34176i	−0.180284	+	0.312261i
$896$	17.8277	−	30.8786i	0.595583	−	1.03158i
$897$	26.4572	+	6.82404i	0.883379	+	0.227848i
$898$	−13.2344	−	22.9226i	−0.441637	−	0.764938i
$899$	−10.4203			−0.347535
$900$	−0.000323166	−	0.0172366i	−1.07722e−5	−	0.000574553i
$901$	5.15448			0.171721
$902$	−0.716600	−	1.24119i	−0.0238602	−	0.0413270i
$903$	7.51318	+	27.0238i	0.250023	+	0.899295i
$904$	17.7418	−	30.7297i	0.590083	−	1.02205i
$905$	19.3129	−	33.4509i	0.641981	−	1.11194i
$906$	3.98425	+	14.3308i	0.132368	+	0.476108i
$907$	−13.2401	−	22.9324i	−0.439629	−	0.761459i	0.558032	−	0.829819i	$-0.311557\pi$
$907$	−13.2401	−	22.9324i	−0.439629	−	0.761459i	−0.997661	+	0.0683601i	$0.978223\pi$
$908$	−1.63139			−0.0541395
$909$	18.9380	−	11.4125i	0.628134	−	0.378528i
$910$	−38.0685			−1.26196
$911$	2.28052	+	3.94998i	0.0755571	+	0.130869i	0.901328	−	0.433136i	$-0.142593\pi$
$911$	2.28052	+	3.94998i	0.0755571	+	0.130869i	−0.825771	+	0.564005i	$0.809260\pi$
$912$	−25.1155	−	6.47797i	−0.831656	−	0.214507i
$913$	−0.257382	+	0.445798i	−0.00851809	+	0.0147538i
$914$	−0.252573	+	0.437469i	−0.00835437	+	0.0144702i
$915$	38.6182	−	39.3490i	1.27668	−	1.30084i
$916$	0.455880	+	0.789607i	0.0150627	+	0.0260893i
$917$	18.7253			0.618365
$918$	−3.51238	+	14.7562i	−0.115926	+	0.487026i
$919$	−49.8104			−1.64309			−0.821546	−	0.570142i	$-0.806888\pi$
$919$	−49.8104			−1.64309			−0.821546	+	0.570142i	$0.806888\pi$
$920$	12.2606	+	21.2360i	0.404221	+	0.700131i
$921$	−18.1489	+	18.4923i	−0.598026	+	0.609344i
$922$	−14.0283	+	24.2977i	−0.461997	+	0.800203i
$923$	17.3698	−	30.0854i	0.571735	−	0.990273i
$924$	0.0612941	+	0.0158095i	0.00201643	+	0.000520093i
$925$	0.121341	+	0.210169i	0.00398967	+	0.00691031i
$926$	−33.3040			−1.09444
$927$	39.2213	+	21.6745i	1.28820	+	0.711883i
$928$	−1.65017			−0.0541695
$929$	25.8016	+	44.6897i	0.846523	+	1.46622i	0.884292	+	0.466934i	$0.154642\pi$
$929$	25.8016	+	44.6897i	0.846523	+	1.46622i	−0.0377690	+	0.999286i	$0.512025\pi$
$930$	−5.84129	−	21.0102i	−0.191543	−	0.688953i
$931$	−2.88739	+	5.00110i	−0.0946303	+	0.163904i
$932$	−0.985620	+	1.70714i	−0.0322851	+	0.0559194i
$933$	−3.29629	−	11.8562i	−0.107916	−	0.388156i
$934$	11.5119	+	19.9392i	0.376681	+	0.652431i
$935$	−0.520351			−0.0170173
$936$	28.6513	+	15.8333i	0.936497	+	0.517527i
$937$	−16.1063			−0.526170			−0.263085	−	0.964773i	$-0.584740\pi$
$937$	−16.1063			−0.526170			−0.263085	+	0.964773i	$0.584740\pi$
$938$	2.13160	+	3.69203i	0.0695991	+	0.120549i
$939$	−19.8701	−	5.12504i	−0.648435	−	0.167249i
$940$	1.25704	−	2.17726i	0.0410001	−	0.0710143i
$941$	−12.4015	+	21.4800i	−0.404277	+	0.700228i	−0.994237	−	0.107204i	$-0.965810\pi$
$941$	−12.4015	+	21.4800i	−0.404277	+	0.700228i	0.589960	+	0.807433i	$0.299144\pi$
$942$	−21.5832	+	21.9916i	−0.703218	+	0.716526i
$943$	−17.0234	−	29.4854i	−0.554359	−	0.960177i
$944$	6.39587			0.208168
$945$	24.9237	+	23.5599i	0.810767	+	0.766405i
$946$	−0.921963			−0.0299756
$947$	12.7596	+	22.1002i	0.414630	+	0.718160i	0.995390	−	0.0959152i	$-0.0305778\pi$
$947$	12.7596	+	22.1002i	0.414630	+	0.718160i	−0.580760	+	0.814075i	$0.697244\pi$
$948$	0.947300	−	0.965227i	0.0307669	−	0.0313491i
$949$	2.86360	−	4.95990i	0.0929563	−	0.161005i
$950$	−0.137442	+	0.238056i	−0.00445920	+	0.00772356i
$951$	25.4853	+	6.57336i	0.826417	+	0.213156i
$952$	8.10800	+	14.0435i	0.262782	+	0.455151i
$953$	32.4489			1.05112			0.525561	−	0.850756i	$-0.323855\pi$
$953$	32.4489			1.05112			0.525561	+	0.850756i	$0.323855\pi$
$954$	9.56462	−	5.76385i	0.309666	−	0.186612i
$955$	14.6137			0.472887
$956$	−1.48598	−	2.57379i	−0.0480599	−	0.0832423i
$957$	0.144292	+	0.518996i	0.00466430	+	0.0167768i
$958$	−6.68881	+	11.5854i	−0.216106	+	0.374306i
$959$	20.5607	−	35.6122i	0.663941	−	1.14998i
$960$	7.84496	+	28.2171i	0.253195	+	0.910704i
$961$	8.05971	+	13.9598i	0.259991	+	0.450317i
$962$	26.3319			0.848973
$963$	−0.520468	−	27.7600i	−0.0167718	−	0.894553i
$964$	1.91696			0.0617412
$965$	−23.4295	−	40.5812i	−0.754224	−	1.30635i
$966$	28.3941	+	7.32362i	0.913565	+	0.235634i
$967$	21.4710	−	37.1888i	0.690460	−	1.19591i	−0.281228	−	0.959641i	$-0.590742\pi$
$967$	21.4710	−	37.1888i	0.690460	−	1.19591i	0.971687	−	0.236270i	$-0.0759250\pi$
$968$	−15.0897	+	26.1362i	−0.485003	+	0.840050i
$969$	8.68756	−	8.85197i	0.279085	−	0.284366i
$970$	−30.7534	−	53.2664i	−0.987432	−	1.71028i
$971$	4.46922			0.143424			0.0717120	−	0.997425i	$-0.477154\pi$
$971$	4.46922			0.143424			0.0717120	+	0.997425i	$0.477154\pi$
$972$	0.511949	+	1.60557i	0.0164208	+	0.0514988i
$973$	−2.07213			−0.0664294
$974$	23.4954	+	40.6952i	0.752841	+	1.30396i
$975$	0.256177	−	0.261025i	0.00820422	−	0.00835948i
$976$	29.7688	−	51.5610i	0.952875	−	1.65043i
$977$	−4.47620	+	7.75301i	−0.143206	+	0.248041i	−0.928702	−	0.370826i	$-0.879075\pi$
$977$	−4.47620	+	7.75301i	−0.143206	+	0.248041i	0.785496	+	0.618867i	$0.212408\pi$
$978$	−16.2005	−	4.17856i	−0.518036	−	0.133616i
$979$	0.193728	+	0.335547i	0.00619158	+	0.0107241i
$980$	−0.394022			−0.0125866
$981$	0.683602	+	36.4610i	0.0218257	+	1.16411i
$982$	−48.3438			−1.54271
$983$	−29.0057	−	50.2394i	−0.925139	−	1.60239i	−0.791337	−	0.611380i	$-0.790615\pi$
$983$	−29.0057	−	50.2394i	−0.925139	−	1.60239i	−0.133802	−	0.991008i	$-0.542719\pi$
$984$	−10.9263	−	39.3002i	−0.348317	−	1.25284i
$985$	−6.84078	+	11.8486i	−0.217965	+	0.377527i
$986$	3.94273	−	6.82902i	0.125562	−	0.217480i
$987$	14.0930	+	50.6905i	0.448586	+	1.61350i
$988$	0.764755	+	1.32459i	0.0243301	+	0.0421410i
$989$	−21.9020			−0.696442
$990$	−0.965559	+	0.581868i	−0.0306875	+	0.0184930i
$991$	52.1181			1.65559			0.827793	−	0.561033i	$-0.189596\pi$
$991$	52.1181			1.65559			0.827793	+	0.561033i	$0.189596\pi$
$992$	−1.17826	−	2.04080i	−0.0374097	−	0.0647956i
$993$	−14.9879	−	3.86578i	−0.475625	−	0.122677i
$994$	18.6415	−	32.2880i	0.591271	−	1.02411i
$995$	9.19263	−	15.9221i	0.291426	−	0.504764i
$996$	0.586401	−	0.597498i	0.0185808	−	0.0189325i
$997$	−16.4163	−	28.4338i	−0.519909	−	0.900508i	−0.999732	−	0.0231433i	$-0.992633\pi$
$997$	−16.4163	−	28.4338i	−0.519909	−	0.900508i	0.479823	−	0.877365i	$-0.340701\pi$
$998$	14.7703			0.467544
$999$	−17.2396	−	16.2963i	−0.545437	−	0.515593i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	603.2.e.a.202.11	✓	66
9.4	even	3		5427.2.a.p.1.23		33
9.5	odd	6		5427.2.a.o.1.11		33
9.7	even	3	inner	603.2.e.a.403.11	yes	66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
603.2.e.a.202.11	✓	66	1.1	even	1	trivial
603.2.e.a.403.11	yes	66	9.7	even	3	inner
5427.2.a.o.1.11		33	9.5	odd	6
5427.2.a.p.1.23		33	9.4	even	3

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:	\( N \)	\(=\)	\( 603 = 3^{2} \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	603.e (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.725966 - 1.25741i) q^{2} +(-1.21321 + 1.23617i) q^{3} +(-0.0540534 + 0.0936233i) q^{4} +(1.12396 - 1.94676i) q^{5} +(2.43512 + 0.628086i) q^{6} +(1.46811 + 2.54284i) q^{7} -2.74690 q^{8} +(-0.0562367 - 2.99947i) q^{9} +O(q^{10})\)	\(q+(-0.725966 - 1.25741i) q^{2} +(-1.21321 + 1.23617i) q^{3} +(-0.0540534 + 0.0936233i) q^{4} +(1.12396 - 1.94676i) q^{5} +(2.43512 + 0.628086i) q^{6} +(1.46811 + 2.54284i) q^{7} -2.74690 q^{8} +(-0.0562367 - 2.99947i) q^{9} -3.26383 q^{10} +(0.0575668 + 0.0997087i) q^{11} +(-0.0501561 - 0.180404i) q^{12} +(1.98619 - 3.44018i) q^{13} +(2.13160 - 3.69203i) q^{14} +(1.04292 + 3.75124i) q^{15} +(2.10226 + 3.64123i) q^{16} -2.01054 q^{17} +(-3.73074 + 2.24823i) q^{18} +3.56163 q^{19} +(0.121508 + 0.210458i) q^{20} +(-4.92451 - 1.27017i) q^{21} +(0.0835832 - 0.144770i) q^{22} +(1.98558 - 3.43913i) q^{23} +(3.33257 - 3.39564i) q^{24} +(-0.0265780 - 0.0460345i) q^{25} -5.76762 q^{26} +(3.77609 + 3.56948i) q^{27} -0.317425 q^{28} +(-1.35064 - 2.33937i) q^{29} +(3.95972 - 4.03465i) q^{30} +(1.92877 - 3.34072i) q^{31} +(0.305443 - 0.529043i) q^{32} +(-0.193098 - 0.0498053i) q^{33} +(1.45958 + 2.52807i) q^{34} +6.60039 q^{35} +(0.283860 + 0.156867i) q^{36} -4.56546 q^{37} +(-2.58562 - 4.47843i) q^{38} +(1.84298 + 6.62893i) q^{39} +(-3.08741 + 5.34755i) q^{40} +(4.28675 - 7.42487i) q^{41} +(1.97791 + 7.11423i) q^{42} +(-2.75762 - 4.77634i) q^{43} -0.0124467 q^{44} +(-5.90246 - 3.26181i) q^{45} -5.76587 q^{46} +(-5.17267 - 8.95933i) q^{47} +(-7.05167 - 1.81882i) q^{48} +(-0.810692 + 1.40416i) q^{49} +(-0.0385895 + 0.0668390i) q^{50} +(2.43921 - 2.48537i) q^{51} +(0.214720 + 0.371907i) q^{52} -2.56373 q^{53} +(1.74698 - 7.33941i) q^{54} +0.258812 q^{55} +(-4.03275 - 6.98493i) q^{56} +(-4.32101 + 4.40279i) q^{57} +(-1.96103 + 3.39661i) q^{58} +(0.760593 - 1.31739i) q^{59} +(-0.407577 - 0.105125i) q^{60} +(-7.08017 - 12.2632i) q^{61} -5.60088 q^{62} +(7.54462 - 4.54656i) q^{63} +7.52209 q^{64} +(-4.46480 - 7.73325i) q^{65} +(0.0775568 + 0.278960i) q^{66} +(-0.500000 + 0.866025i) q^{67} +(0.108676 - 0.188233i) q^{68} +(1.84242 + 6.62692i) q^{69} +(-4.79166 - 8.29940i) q^{70} +8.74531 q^{71} +(0.154477 + 8.23925i) q^{72} +1.44176 q^{73} +(3.31437 + 5.74066i) q^{74} +(0.0891513 + 0.0229946i) q^{75} +(-0.192518 + 0.333452i) q^{76} +(-0.169029 + 0.292767i) q^{77} +(6.99734 - 7.12976i) q^{78} +(3.61134 + 6.25502i) q^{79} +9.45145 q^{80} +(-8.99367 + 0.337361i) q^{81} -12.4481 q^{82} +(2.23550 + 3.87200i) q^{83} +(0.385104 - 0.392392i) q^{84} +(-2.25977 + 3.91403i) q^{85} +(-4.00388 + 6.93492i) q^{86} +(4.53047 + 1.16853i) q^{87} +(-0.158130 - 0.273890i) q^{88} +3.36527 q^{89} +(0.183547 + 9.78977i) q^{90} +11.6638 q^{91} +(0.214655 + 0.371794i) q^{92} +(1.78970 + 6.43729i) q^{93} +(-7.51037 + 13.0083i) q^{94} +(4.00314 - 6.93364i) q^{95} +(0.283421 + 1.01942i) q^{96} +(9.42248 + 16.3202i) q^{97} +2.35414 q^{98} +(0.295836 - 0.178277i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9}+O(q^{10}) \) 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9	\( 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9} - 8 q^{11} + q^{12} - 7 q^{14} + 3 q^{15} - 33 q^{16} + 66 q^{17} - 11 q^{18} - 29 q^{20} + q^{21} - 17 q^{23} + 47 q^{24} - 33 q^{25} + 60 q^{26} - 21 q^{27} - 54 q^{28} - 39 q^{29} - 34 q^{30} - 53 q^{32} + 8 q^{33} - 6 q^{34} + 62 q^{35} - 35 q^{36} + 24 q^{37} - 30 q^{38} - 5 q^{39} - 6 q^{40} - 38 q^{41} + 65 q^{42} + 22 q^{44} - 9 q^{45} + 12 q^{46} - 58 q^{47} - 59 q^{48} - 33 q^{49} - 31 q^{50} + 26 q^{51} + 9 q^{52} + 128 q^{53} - 22 q^{54} - 36 q^{55} - 32 q^{56} - 34 q^{57} + 3 q^{58} - 39 q^{59} + 127 q^{60} + 138 q^{62} - 35 q^{63} + 132 q^{64} - 28 q^{65} - 94 q^{66} - 33 q^{67} - 62 q^{68} + 60 q^{69} - 6 q^{70} + 42 q^{71} - 34 q^{72} - 25 q^{74} + 55 q^{75} - 6 q^{76} - 91 q^{77} + 125 q^{78} + 116 q^{80} - 90 q^{82} - 61 q^{83} - 26 q^{84} + 15 q^{85} - 47 q^{86} - q^{87} - 12 q^{88} + 110 q^{89} - 91 q^{90} + 36 q^{91} - 41 q^{92} - 11 q^{93} - 21 q^{94} - 6 q^{95} + 80 q^{96} - 12 q^{97} + 80 q^{98} - 38 q^{99}+O(q^{100}) \) 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9 - 8 * q^11 + q^12 - 7 * q^14 + 3 * q^15 - 33 * q^16 + 66 * q^17 - 11 * q^18 - 29 * q^20 + q^21 - 17 * q^23 + 47 * q^24 - 33 * q^25 + 60 * q^26 - 21 * q^27 - 54 * q^28 - 39 * q^29 - 34 * q^30 - 53 * q^32 + 8 * q^33 - 6 * q^34 + 62 * q^35 - 35 * q^36 + 24 * q^37 - 30 * q^38 - 5 * q^39 - 6 * q^40 - 38 * q^41 + 65 * q^42 + 22 * q^44 - 9 * q^45 + 12 * q^46 - 58 * q^47 - 59 * q^48 - 33 * q^49 - 31 * q^50 + 26 * q^51 + 9 * q^52 + 128 * q^53 - 22 * q^54 - 36 * q^55 - 32 * q^56 - 34 * q^57 + 3 * q^58 - 39 * q^59 + 127 * q^60 + 138 * q^62 - 35 * q^63 + 132 * q^64 - 28 * q^65 - 94 * q^66 - 33 * q^67 - 62 * q^68 + 60 * q^69 - 6 * q^70 + 42 * q^71 - 34 * q^72 - 25 * q^74 + 55 * q^75 - 6 * q^76 - 91 * q^77 + 125 * q^78 + 116 * q^80 - 90 * q^82 - 61 * q^83 - 26 * q^84 + 15 * q^85 - 47 * q^86 - q^87 - 12 * q^88 + 110 * q^89 - 91 * q^90 + 36 * q^91 - 41 * q^92 - 11 * q^93 - 21 * q^94 - 6 * q^95 + 80 * q^96 - 12 * q^97 + 80 * q^98 - 38 * q^99

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