LMFDB - Embedded newform 585.2.i.g.391.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [585,2,Mod(196,585)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(585, base_ring=CyclotomicField(6))

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

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

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

chi := DirichletCharacter("585.196");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 585 = 3^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	585.i (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:	$4.67124851824$
Analytic rank:	$0$
Dimension:	$26$
Relative dimension:	$13$ over $\Q(\zeta_{3})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			391.3
Character	$\chi$	$=$	585.391
Dual form			585.2.i.g.196.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.877561 - 1.51998i) q^{2} +(0.0726124 + 1.73053i) q^{3} +(-0.540227 + 0.935700i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(2.56665 - 1.62901i) q^{6} +(1.83503 + 3.17836i) q^{7} -1.61392 q^{8} +(-2.98945 + 0.251316i) q^{9} +O(q^{10})$	\(q+(-0.877561 - 1.51998i) q^{2} +(0.0726124 + 1.73053i) q^{3} +(-0.540227 + 0.935700i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(2.56665 - 1.62901i) q^{6} +(1.83503 + 3.17836i) q^{7} -1.61392 q^{8} +(-2.98945 + 0.251316i) q^{9} +1.75512 q^{10} +(-0.687816 - 1.19133i) q^{11} +(-1.65848 - 0.866934i) q^{12} +(0.500000 - 0.866025i) q^{13} +(3.22070 - 5.57842i) q^{14} +(-1.53499 - 0.802380i) q^{15} +(2.49676 + 4.32452i) q^{16} -0.562928 q^{17} +(3.00542 + 4.32337i) q^{18} -4.54287 q^{19} +(-0.540227 - 0.935700i) q^{20} +(-5.36700 + 3.40636i) q^{21} +(-1.20720 + 2.09093i) q^{22} +(-3.65980 + 6.33895i) q^{23} +(-0.117190 - 2.79293i) q^{24} +(-0.500000 - 0.866025i) q^{25} -1.75512 q^{26} +(-0.651980 - 5.15509i) q^{27} -3.96533 q^{28} +(-4.40874 - 7.63616i) q^{29} +(0.127444 + 3.03729i) q^{30} +(-3.02166 + 5.23367i) q^{31} +(2.76821 - 4.79468i) q^{32} +(2.01169 - 1.27679i) q^{33} +(0.494003 + 0.855639i) q^{34} -3.67006 q^{35} +(1.37983 - 2.93300i) q^{36} -0.137665 q^{37} +(3.98665 + 6.90507i) q^{38} +(1.53499 + 0.802380i) q^{39} +(0.806959 - 1.39769i) q^{40} +(-4.13965 + 7.17008i) q^{41} +(9.88747 + 5.16845i) q^{42} +(1.17648 + 2.03772i) q^{43} +1.48630 q^{44} +(1.27708 - 2.71460i) q^{45} +12.8468 q^{46} +(0.710875 + 1.23127i) q^{47} +(-7.30241 + 4.63473i) q^{48} +(-3.23466 + 5.60260i) q^{49} +(-0.877561 + 1.51998i) q^{50} +(-0.0408755 - 0.974162i) q^{51} +(0.540227 + 0.935700i) q^{52} +5.26501 q^{53} +(-7.26348 + 5.51490i) q^{54} +1.37563 q^{55} +(-2.96158 - 5.12962i) q^{56} +(-0.329869 - 7.86157i) q^{57} +(-7.73787 + 13.4024i) q^{58} +(-4.53114 + 7.84817i) q^{59} +(1.58003 - 1.00282i) q^{60} +(2.50188 + 4.33338i) q^{61} +10.6068 q^{62} +(-6.28451 - 9.04040i) q^{63} +0.269971 q^{64} +(0.500000 + 0.866025i) q^{65} +(-3.70607 - 1.93727i) q^{66} +(-3.13872 + 5.43643i) q^{67} +(0.304109 - 0.526731i) q^{68} +(-11.2355 - 5.87309i) q^{69} +(3.22070 + 5.57842i) q^{70} +3.03434 q^{71} +(4.82473 - 0.405603i) q^{72} +8.25544 q^{73} +(0.120810 + 0.209248i) q^{74} +(1.46238 - 0.928148i) q^{75} +(2.45418 - 4.25076i) q^{76} +(2.52432 - 4.37226i) q^{77} +(-0.127444 - 3.03729i) q^{78} +(-2.13882 - 3.70454i) q^{79} -4.99353 q^{80} +(8.87368 - 1.50259i) q^{81} +14.5312 q^{82} +(0.119015 + 0.206140i) q^{83} +(-0.287932 - 6.86211i) q^{84} +(0.281464 - 0.487510i) q^{85} +(2.06487 - 3.57645i) q^{86} +(12.8945 - 8.18392i) q^{87} +(1.11008 + 1.92271i) q^{88} +2.59479 q^{89} +(-5.24686 + 0.441090i) q^{90} +3.67006 q^{91} +(-3.95424 - 6.84894i) q^{92} +(-9.27642 - 4.84904i) q^{93} +(1.24767 - 2.16103i) q^{94} +(2.27144 - 3.93424i) q^{95} +(8.49833 + 4.44231i) q^{96} +(6.05493 + 10.4874i) q^{97} +11.3545 q^{98} +(2.35559 + 3.38857i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 26 q + q^{2} + q^{3} - 15 q^{4} - 13 q^{5} + 7 q^{6} - 10 q^{7} - 12 q^{8} + 7 q^{9}+O(q^{10}) $ 26 * q + q^2 + q^3 - 15 * q^4 - 13 * q^5 + 7 * q^6 - 10 * q^7 - 12 * q^8 + 7 * q^9	\( 26 q + q^{2} + q^{3} - 15 q^{4} - 13 q^{5} + 7 q^{6} - 10 q^{7} - 12 q^{8} + 7 q^{9} - 2 q^{10} - 11 q^{11} - 20 q^{12} + 13 q^{13} - 15 q^{14} - 2 q^{15} - 19 q^{16} + 6 q^{17} - 13 q^{18} + 30 q^{19} - 15 q^{20} - q^{21} - 12 q^{22} - 6 q^{23} + 20 q^{24} - 13 q^{25} + 2 q^{26} - 2 q^{27} + 10 q^{28} - 14 q^{29} - 2 q^{30} - 30 q^{31} + 43 q^{32} + 6 q^{33} - 19 q^{34} + 20 q^{35} - 39 q^{36} + 32 q^{37} + 2 q^{38} + 2 q^{39} + 6 q^{40} - 17 q^{41} + 83 q^{42} - 6 q^{43} + 46 q^{44} - 5 q^{45} + 46 q^{46} + 21 q^{47} - 7 q^{48} - 29 q^{49} + q^{50} + 55 q^{51} + 15 q^{52} + 2 q^{53} - 6 q^{54} + 22 q^{55} - 37 q^{56} + 33 q^{57} - 14 q^{58} - 13 q^{59} + 25 q^{60} - 22 q^{61} - 114 q^{62} - 44 q^{63} + 84 q^{64} + 13 q^{65} - 68 q^{66} - 35 q^{67} + 4 q^{68} - 38 q^{69} - 15 q^{70} + 24 q^{71} - 24 q^{72} + 64 q^{73} + 28 q^{74} + q^{75} - 54 q^{76} - 4 q^{77} + 2 q^{78} - 12 q^{79} + 38 q^{80} + 15 q^{81} + 46 q^{82} + 3 q^{83} + 27 q^{84} - 3 q^{85} + 40 q^{86} - 12 q^{87} - 29 q^{88} + 12 q^{89} - 10 q^{90} - 20 q^{91} + 16 q^{92} - 9 q^{93} - 44 q^{94} - 15 q^{95} + 51 q^{96} - 33 q^{97} + 70 q^{98} - 22 q^{99}+O(q^{100}) \) 26 * q + q^2 + q^3 - 15 * q^4 - 13 * q^5 + 7 * q^6 - 10 * q^7 - 12 * q^8 + 7 * q^9 - 2 * q^10 - 11 * q^11 - 20 * q^12 + 13 * q^13 - 15 * q^14 - 2 * q^15 - 19 * q^16 + 6 * q^17 - 13 * q^18 + 30 * q^19 - 15 * q^20 - q^21 - 12 * q^22 - 6 * q^23 + 20 * q^24 - 13 * q^25 + 2 * q^26 - 2 * q^27 + 10 * q^28 - 14 * q^29 - 2 * q^30 - 30 * q^31 + 43 * q^32 + 6 * q^33 - 19 * q^34 + 20 * q^35 - 39 * q^36 + 32 * q^37 + 2 * q^38 + 2 * q^39 + 6 * q^40 - 17 * q^41 + 83 * q^42 - 6 * q^43 + 46 * q^44 - 5 * q^45 + 46 * q^46 + 21 * q^47 - 7 * q^48 - 29 * q^49 + q^50 + 55 * q^51 + 15 * q^52 + 2 * q^53 - 6 * q^54 + 22 * q^55 - 37 * q^56 + 33 * q^57 - 14 * q^58 - 13 * q^59 + 25 * q^60 - 22 * q^61 - 114 * q^62 - 44 * q^63 + 84 * q^64 + 13 * q^65 - 68 * q^66 - 35 * q^67 + 4 * q^68 - 38 * q^69 - 15 * q^70 + 24 * q^71 - 24 * q^72 + 64 * q^73 + 28 * q^74 + q^75 - 54 * q^76 - 4 * q^77 + 2 * q^78 - 12 * q^79 + 38 * q^80 + 15 * q^81 + 46 * q^82 + 3 * q^83 + 27 * q^84 - 3 * q^85 + 40 * q^86 - 12 * q^87 - 29 * q^88 + 12 * q^89 - 10 * q^90 - 20 * q^91 + 16 * q^92 - 9 * q^93 - 44 * q^94 - 15 * q^95 + 51 * q^96 - 33 * q^97 + 70 * q^98 - 22 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/585\mathbb{Z}\right)^\times$.

$n$	$326$	$352$	$496$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$1$	$1$

Coefficient data

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

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

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

$2$	−0.877561	−	1.51998i	−0.620529	−	1.07479i	−0.989387	−	0.145303i	$-0.953584\pi$
$2$	−0.877561	−	1.51998i	−0.620529	−	1.07479i	0.368858	−	0.929486i	$-0.379749\pi$
$3$	0.0726124	+	1.73053i	0.0419228	+	0.999121i
$3$	0.0726124	+	1.73053i	0.0419228	+	0.999121i
$4$	−0.540227	+	0.935700i	−0.270113	+	0.467850i
$5$	−0.500000	+	0.866025i	−0.223607	+	0.387298i
$5$	−0.500000	+	0.866025i	−0.223607	+	0.387298i
$6$	2.56665	−	1.62901i	1.04783	−	0.665042i
$7$	1.83503	+	3.17836i	0.693576	+	1.20131i	0.970658	+	0.240462i	$0.0772991\pi$
$7$	1.83503	+	3.17836i	0.693576	+	1.20131i	−0.277083	+	0.960846i	$0.589368\pi$
$8$	−1.61392			−0.570606
$9$	−2.98945	+	0.251316i	−0.996485	+	0.0837719i
$10$	1.75512			0.555018
$11$	−0.687816	−	1.19133i	−0.207384	−	0.359200i	0.743506	−	0.668730i	$-0.233162\pi$
$11$	−0.687816	−	1.19133i	−0.207384	−	0.359200i	−0.950890	+	0.309530i	$0.899828\pi$
$12$	−1.65848	−	0.866934i	−0.478762	−	0.250262i
$13$	0.500000	−	0.866025i	0.138675	−	0.240192i
$13$	0.500000	−	0.866025i	0.138675	−	0.240192i
$14$	3.22070	−	5.57842i	0.860768	−	1.49089i
$15$	−1.53499	−	0.802380i	−0.396332	−	0.207174i
$16$	2.49676	+	4.32452i	0.624191	+	1.08113i
$17$	−0.562928			−0.136530			−0.0682650	−	0.997667i	$-0.521746\pi$
$17$	−0.562928			−0.136530			−0.0682650	+	0.997667i	$0.521746\pi$
$18$	3.00542	+	4.32337i	0.708385	+	1.01903i
$19$	−4.54287			−1.04221			−0.521103	−	0.853494i	$-0.674479\pi$
$19$	−4.54287			−1.04221			−0.521103	+	0.853494i	$0.674479\pi$
$20$	−0.540227	−	0.935700i	−0.120798	−	0.209229i
$21$	−5.36700	+	3.40636i	−1.17118	+	0.743328i
$22$	−1.20720	+	2.09093i	−0.257376	+	0.445788i
$23$	−3.65980	+	6.33895i	−0.763120	+	1.32176i	0.178114	+	0.984010i	$0.443000\pi$
$23$	−3.65980	+	6.33895i	−0.763120	+	1.32176i	−0.941235	+	0.337753i	$0.890333\pi$
$24$	−0.117190	−	2.79293i	−0.0239214	−	0.570104i
$25$	−0.500000	−	0.866025i	−0.100000	−	0.173205i
$26$	−1.75512			−0.344208
$27$	−0.651980	−	5.15509i	−0.125474	−	0.992097i
$28$	−3.96533			−0.749376
$29$	−4.40874	−	7.63616i	−0.818682	−	1.41800i	−0.906654	−	0.421876i	$-0.861372\pi$
$29$	−4.40874	−	7.63616i	−0.818682	−	1.41800i	0.0879719	−	0.996123i	$-0.471961\pi$
$30$	0.127444	+	3.03729i	0.0232679	+	0.554530i
$31$	−3.02166	+	5.23367i	−0.542706	+	0.939995i	0.456041	+	0.889959i	$0.349267\pi$
$31$	−3.02166	+	5.23367i	−0.542706	+	0.939995i	−0.998747	+	0.0500361i	$0.984066\pi$
$32$	2.76821	−	4.79468i	0.489355	−	0.847587i
$33$	2.01169	−	1.27679i	0.350190	−	0.222261i
$34$	0.494003	+	0.855639i	0.0847209	+	0.146741i
$35$	−3.67006			−0.620353
$36$	1.37983	−	2.93300i	0.229971	−	0.488833i
$37$	−0.137665			−0.0226320			−0.0113160	−	0.999936i	$-0.503602\pi$
$37$	−0.137665			−0.0226320			−0.0113160	+	0.999936i	$0.503602\pi$
$38$	3.98665	+	6.90507i	0.646719	+	1.12015i
$39$	1.53499	+	0.802380i	0.245795	+	0.128484i
$40$	0.806959	−	1.39769i	0.127591	−	0.220995i
$41$	−4.13965	+	7.17008i	−0.646504	+	1.11978i	0.337448	+	0.941344i	$0.390436\pi$
$41$	−4.13965	+	7.17008i	−0.646504	+	1.11978i	−0.983952	+	0.178434i	$0.942897\pi$
$42$	9.88747	+	5.16845i	1.52567	+	0.797509i
$43$	1.17648	+	2.03772i	0.179411	+	0.310750i	0.941679	−	0.336512i	$-0.109247\pi$
$43$	1.17648	+	2.03772i	0.179411	+	0.310750i	−0.762268	+	0.647262i	$0.775914\pi$
$44$	1.48630			0.224069
$45$	1.27708	−	2.71460i	0.190376	−	0.404669i
$46$	12.8468			1.89415
$47$	0.710875	+	1.23127i	0.103692	+	0.179600i	0.913203	−	0.407505i	$-0.133601\pi$
$47$	0.710875	+	1.23127i	0.103692	+	0.179600i	−0.809511	+	0.587104i	$0.800268\pi$
$48$	−7.30241	+	4.63473i	−1.05401	+	0.668966i
$49$	−3.23466	+	5.60260i	−0.462095	+	0.800372i
$50$	−0.877561	+	1.51998i	−0.124106	+	0.214958i
$51$	−0.0408755	−	0.974162i	−0.00572372	−	0.136410i
$52$	0.540227	+	0.935700i	0.0749159	+	0.129758i
$53$	5.26501			0.723205			0.361603	−	0.932332i	$-0.382230\pi$
$53$	5.26501			0.723205			0.361603	+	0.932332i	$0.382230\pi$
$54$	−7.26348	+	5.51490i	−0.988434	+	0.750483i
$55$	1.37563			0.185490
$56$	−2.96158	−	5.12962i	−0.395758	−	0.685474i
$57$	−0.329869	−	7.86157i	−0.0436922	−	1.04129i
$58$	−7.73787	+	13.4024i	−1.01603	+	1.75982i
$59$	−4.53114	+	7.84817i	−0.589905	+	1.02174i	0.404340	+	0.914609i	$0.367501\pi$
$59$	−4.53114	+	7.84817i	−0.589905	+	1.02174i	−0.994244	+	0.107136i	$0.965832\pi$
$60$	1.58003	−	1.00282i	0.203981	−	0.129464i
$61$	2.50188	+	4.33338i	0.320333	+	0.554833i	0.980557	−	0.196236i	$-0.0628719\pi$
$61$	2.50188	+	4.33338i	0.320333	+	0.554833i	−0.660224	+	0.751069i	$0.729539\pi$
$62$	10.6068			1.34706
$63$	−6.28451	−	9.04040i	−0.791774	−	1.13898i
$64$	0.269971			0.0337463
$65$	0.500000	+	0.866025i	0.0620174	+	0.107417i
$66$	−3.70607	−	1.93727i	−0.456186	−	0.238461i
$67$	−3.13872	+	5.43643i	−0.383456	+	0.664165i	−0.991554	−	0.129697i	$-0.958600\pi$
$67$	−3.13872	+	5.43643i	−0.383456	+	0.664165i	0.608098	+	0.793862i	$0.291933\pi$
$68$	0.304109	−	0.526731i	0.0368786	−	0.0638756i
$69$	−11.2355	−	5.87309i	−1.35259	−	0.707037i
$70$	3.22070	+	5.57842i	0.384947	+	0.666748i
$71$	3.03434			0.360110			0.180055	−	0.983657i	$-0.442372\pi$
$71$	3.03434			0.360110			0.180055	+	0.983657i	$0.442372\pi$
$72$	4.82473	−	0.405603i	0.568600	−	0.0478007i
$73$	8.25544			0.966226			0.483113	−	0.875558i	$-0.339506\pi$
$73$	8.25544			0.966226			0.483113	+	0.875558i	$0.339506\pi$
$74$	0.120810	+	0.209248i	0.0140438	+	0.0243246i
$75$	1.46238	−	0.928148i	0.168861	−	0.107173i
$76$	2.45418	−	4.25076i	0.281514	−	0.487596i
$77$	2.52432	−	4.37226i	0.287673	−	0.498265i
$78$	−0.127444	−	3.03729i	−0.0144302	−	0.343905i
$79$	−2.13882	−	3.70454i	−0.240636	−	0.416793i	0.720260	−	0.693704i	$-0.244023\pi$
$79$	−2.13882	−	3.70454i	−0.240636	−	0.416793i	−0.960896	+	0.276911i	$0.910689\pi$
$80$	−4.99353			−0.558293
$81$	8.87368	−	1.50259i	0.985965	−	0.166955i
$82$	14.5312			1.60470
$83$	0.119015	+	0.206140i	0.0130636	+	0.0226268i	0.872483	−	0.488644i	$-0.162508\pi$
$83$	0.119015	+	0.206140i	0.0130636	+	0.0226268i	−0.859420	+	0.511271i	$0.829175\pi$
$84$	−0.287932	−	6.86211i	−0.0314159	−	0.748717i
$85$	0.281464	−	0.487510i	0.0305290	−	0.0528779i
$86$	2.06487	−	3.57645i	0.222660	−	0.385659i
$87$	12.8945	−	8.18392i	1.38243	−	0.877409i
$88$	1.11008	+	1.92271i	0.118335	+	0.204962i
$89$	2.59479			0.275048			0.137524	−	0.990498i	$-0.456086\pi$
$89$	2.59479			0.275048			0.137524	+	0.990498i	$0.456086\pi$
$90$	−5.24686	+	0.441090i	−0.553067	+	0.0464949i
$91$	3.67006			0.384727
$92$	−3.95424	−	6.84894i	−0.412258	−	0.714051i
$93$	−9.27642	−	4.84904i	−0.961920	−	0.502822i
$94$	1.24767	−	2.16103i	0.128688	−	0.222894i
$95$	2.27144	−	3.93424i	0.233044	−	0.403645i
$96$	8.49833	+	4.44231i	0.867357	+	0.453391i
$97$	6.05493	+	10.4874i	0.614785	+	1.06484i	0.990422	+	0.138072i	$0.0440905\pi$
$97$	6.05493	+	10.4874i	0.614785	+	1.06484i	−0.375637	+	0.926767i	$0.622576\pi$
$98$	11.3545			1.14697
$99$	2.35559	+	3.38857i	0.236746	+	0.340564i
$100$	1.08045			0.108045
$101$	−5.89037	−	10.2024i	−0.586114	−	1.01518i	−0.994736	−	0.102475i	$-0.967324\pi$
$101$	−5.89037	−	10.2024i	−0.586114	−	1.01518i	0.408622	−	0.912704i	$-0.366009\pi$
$102$	−1.44484	+	0.917017i	−0.143060	+	0.0907982i
$103$	−2.46194	+	4.26420i	−0.242582	+	0.420164i	−0.961449	−	0.274983i	$-0.911328\pi$
$103$	−2.46194	+	4.26420i	−0.242582	+	0.420164i	0.718867	+	0.695148i	$0.244661\pi$
$104$	−0.806959	+	1.39769i	−0.0791288	+	0.137055i
$105$	−0.266492	−	6.35114i	−0.0260069	−	0.619808i
$106$	−4.62037	−	8.00272i	−0.448770	−	0.777292i
$107$	19.0229			1.83902			0.919509	−	0.393070i	$-0.128587\pi$
$107$	19.0229			1.83902			0.919509	+	0.393070i	$0.128587\pi$
$108$	5.17583	+	2.17486i	0.498045	+	0.209276i
$109$	−15.8493			−1.51808			−0.759042	−	0.651042i	$-0.774332\pi$
$109$	−15.8493			−1.51808			−0.759042	+	0.651042i	$0.774332\pi$
$110$	−1.20720	−	2.09093i	−0.115102	−	0.199363i
$111$	−0.00999621	−	0.238234i	−0.000948798	−	0.0226121i
$112$	−9.16327	+	15.8712i	−0.865847	+	1.49969i
$113$	6.63029	−	11.4840i	0.623725	−	1.08032i	−0.365061	−	0.930984i	$-0.618952\pi$
$113$	6.63029	−	11.4840i	0.623725	−	1.08032i	0.988786	−	0.149340i	$-0.0477148\pi$
$114$	−11.6599	+	7.40040i	−1.09205	+	0.693111i
$115$	−3.65980	−	6.33895i	−0.341278	−	0.591110i
$116$	9.52687			0.884547
$117$	−1.27708	+	2.71460i	−0.118066	+	0.250965i
$118$	15.9054			1.46421
$119$	−1.03299	−	1.78919i	−0.0946939	−	0.164015i
$120$	2.47734	+	1.29497i	0.226149	+	0.118214i
$121$	4.55382	−	7.88745i	0.413984	−	0.717041i
$122$	4.39110	−	7.60562i	0.397552	−	0.688580i
$123$	−12.7086	−	6.64314i	−1.14590	−	0.598991i
$124$	−3.26476	−	5.65473i	−0.293184	−	0.507810i
$125$	1.00000			0.0894427
$126$	−8.22619	+	17.4858i	−0.732848	+	1.55776i
$127$	−16.1635			−1.43428			−0.717140	−	0.696929i	$-0.754549\pi$
$127$	−16.1635			−1.43428			−0.717140	+	0.696929i	$0.754549\pi$
$128$	−5.77333	−	9.99970i	−0.510295	−	0.883857i
$129$	−3.44091	+	2.18389i	−0.302955	+	0.192281i
$130$	0.877561	−	1.51998i	0.0769672	−	0.133311i
$131$	−5.82449	+	10.0883i	−0.508888	+	0.881420i	0.491059	+	0.871126i	$0.336610\pi$
$131$	−5.82449	+	10.0883i	−0.508888	+	0.881420i	−0.999947	+	0.0102934i	$0.996723\pi$
$132$	0.107924	+	2.57209i	0.00939359	+	0.223872i
$133$	−8.33630	−	14.4389i	−0.722849	−	1.25201i
$134$	11.0177			0.951783
$135$	4.79043	+	2.01291i	0.412294	+	0.173244i
$136$	0.908519			0.0779048
$137$	−0.446821	−	0.773916i	−0.0381745	−	0.0661201i	0.846307	−	0.532696i	$-0.178821\pi$
$137$	−0.446821	−	0.773916i	−0.0381745	−	0.0661201i	−0.884481	+	0.466575i	$0.845488\pi$
$138$	0.932835	+	22.2317i	0.0794082	+	1.89249i
$139$	0.513753	−	0.889846i	0.0435759	−	0.0754757i	−0.843415	−	0.537263i	$-0.819458\pi$
$139$	0.513753	−	0.889846i	0.0435759	−	0.0754757i	0.886991	+	0.461787i	$0.152792\pi$
$140$	1.98266	−	3.43407i	0.167566	−	0.290232i
$141$	−2.07913	+	1.31960i	−0.175095	+	0.111130i
$142$	−2.66282	−	4.61214i	−0.223459	−	0.387042i
$143$	−1.37563			−0.115036
$144$	−8.55078	−	12.3005i	−0.712565	−	1.02504i
$145$	8.81747			0.732251
$146$	−7.24465	−	12.5481i	−0.599571	−	1.03849i
$147$	−9.93034	−	5.19086i	−0.819040	−	0.428135i
$148$	0.0743704	−	0.128813i	0.00611321	−	0.0105884i
$149$	0.800693	−	1.38684i	0.0655953	−	0.113614i	−0.831363	−	0.555730i	$-0.812439\pi$
$149$	0.800693	−	1.38684i	0.0655953	−	0.113614i	0.896958	+	0.442116i	$0.145772\pi$
$150$	−2.69409	−	1.40827i	−0.219972	−	0.114985i
$151$	−6.11326	−	10.5885i	−0.497490	−	0.861678i	0.502506	−	0.864574i	$-0.332412\pi$
$151$	−6.11326	−	10.5885i	−0.497490	−	0.861678i	−0.999996	+	0.00289599i	$0.999078\pi$
$152$	7.33182			0.594689
$153$	1.68285	−	0.141473i	0.136050	−	0.0114374i
$154$	−8.86099			−0.714039
$155$	−3.02166	−	5.23367i	−0.242706	−	0.420378i
$156$	−1.58003	+	1.00282i	−0.126503	+	0.0802899i
$157$	4.99219	−	8.64673i	0.398420	−	0.690084i	−0.595111	−	0.803644i	$-0.702892\pi$
$157$	4.99219	−	8.64673i	0.398420	−	0.690084i	0.993531	+	0.113559i	$0.0362252\pi$
$158$	−3.75389	+	6.50192i	−0.298643	+	0.517265i
$159$	0.382305	+	9.11125i	0.0303188	+	0.722569i
$160$	2.76821	+	4.79468i	0.218846	+	0.379052i
$161$	−26.8633			−2.11713
$162$	−10.0711	−	12.1692i	−0.791261	−	0.956103i
$163$	20.6364			1.61637			0.808183	−	0.588931i	$-0.200451\pi$
$163$	20.6364			1.61637			0.808183	+	0.588931i	$0.200451\pi$
$164$	−4.47269	−	7.74693i	−0.349259	−	0.604934i
$165$	0.0998879	+	2.38057i	0.00777626	+	0.185327i
$166$	0.208886	−	0.361801i	0.0162127	−	0.0280812i
$167$	−9.13643	+	15.8248i	−0.706998	+	1.22456i	0.258967	+	0.965886i	$0.416618\pi$
$167$	−9.13643	+	15.8248i	−0.706998	+	1.22456i	−0.965966	+	0.258671i	$0.916716\pi$
$168$	8.66190	−	5.49758i	0.668280	−	0.424147i
$169$	−0.500000	−	0.866025i	−0.0384615	−	0.0666173i
$170$	−0.988007			−0.0757767
$171$	13.5807	−	1.14169i	1.03854	−	0.0873076i
$172$	−2.54226			−0.193846
$173$	8.01301	+	13.8789i	0.609218	+	1.05520i	0.991370	+	0.131097i	$0.0418499\pi$
$173$	8.01301	+	13.8789i	0.609218	+	1.05520i	−0.382152	+	0.924100i	$0.624817\pi$
$174$	−23.7551	−	12.4174i	−1.80087	−	0.941362i
$175$	1.83503	−	3.17836i	0.138715	−	0.240262i
$176$	3.43463	−	5.94895i	0.258895	−	0.448419i
$177$	−13.9105	−	7.27140i	−1.04558	−	0.546552i
$178$	−2.27709	−	3.94404i	−0.170675	−	0.295618i
$179$	5.87432			0.439067			0.219534	−	0.975605i	$-0.429546\pi$
$179$	5.87432			0.439067			0.219534	+	0.975605i	$0.429546\pi$
$180$	1.85014	+	2.66146i	0.137901	+	0.198374i
$181$	−1.09159			−0.0811373			−0.0405686	−	0.999177i	$-0.512917\pi$
$181$	−1.09159			−0.0811373			−0.0405686	+	0.999177i	$0.512917\pi$
$182$	−3.22070	−	5.57842i	−0.238734	−	0.413500i
$183$	−7.31737	+	4.64423i	−0.540916	+	0.343311i
$184$	5.90661	−	10.2305i	0.435441	−	0.754206i
$185$	0.0688326	−	0.119222i	0.00506068	−	0.00876535i
$186$	0.770183	+	18.3553i	0.0564725	+	1.34588i
$187$	0.387190	+	0.670634i	0.0283142	+	0.0490416i
$188$	−1.53613			−0.112034
$189$	15.1883	−	11.5320i	1.10479	−	0.838827i
$190$	−7.97329			−0.578443
$191$	13.2012	+	22.8651i	0.955205	+	1.65446i	0.733899	+	0.679258i	$0.237698\pi$
$191$	13.2012	+	22.8651i	0.955205	+	1.65446i	0.221306	+	0.975205i	$0.428968\pi$
$192$	0.0196032	+	0.467192i	0.00141474	+	0.0337167i
$193$	−2.51567	+	4.35726i	−0.181082	+	0.313643i	−0.942249	−	0.334913i	$-0.891293\pi$
$193$	−2.51567	+	4.35726i	−0.181082	+	0.313643i	0.761167	+	0.648555i	$0.224627\pi$
$194$	10.6271	−	18.4067i	0.762984	−	1.32153i
$195$	−1.46238	+	0.928148i	−0.104723	+	0.0664661i
$196$	−3.49490	−	6.05335i	−0.249636	−	0.432382i
$197$	−22.9176			−1.63281			−0.816405	−	0.577479i	$-0.804036\pi$
$197$	−22.9176			−1.63281			−0.816405	+	0.577479i	$0.804036\pi$
$198$	3.08339	−	6.55414i	0.219127	−	0.465782i
$199$	21.3955			1.51669			0.758345	−	0.651853i	$-0.226008\pi$
$199$	21.3955			1.51669			0.758345	+	0.651853i	$0.226008\pi$
$200$	0.806959	+	1.39769i	0.0570606	+	0.0988318i
$201$	−9.63580	−	5.03690i	−0.679657	−	0.355275i
$202$	−10.3383	+	17.9065i	−0.727401	+	1.25990i
$203$	16.1803	−	28.0251i	1.13564	−	1.96698i
$204$	0.933605	+	0.488021i	0.0653655	+	0.0341683i
$205$	−4.13965	−	7.17008i	−0.289125	−	0.500780i
$206$	8.64200			0.602117
$207$	9.34772	−	19.8698i	0.649711	−	1.38104i
$208$	4.99353			0.346239
$209$	3.12466	+	5.41207i	0.216137	+	0.374360i
$210$	−9.41974	+	5.97857i	−0.650024	+	0.412561i
$211$	13.5994	−	23.5549i	0.936223	−	1.62159i	0.163784	−	0.986496i	$-0.447630\pi$
$211$	13.5994	−	23.5549i	0.936223	−	1.62159i	0.772439	−	0.635089i	$-0.219037\pi$
$212$	−2.84430	+	4.92647i	−0.195347	+	0.338351i
$213$	0.220331	+	5.25102i	0.0150968	+	0.359794i
$214$	−16.6938	−	28.9145i	−1.14116	−	1.97655i
$215$	−2.35296			−0.160470
$216$	1.05224	+	8.31988i	0.0715960	+	0.566096i
$217$	−22.1793			−1.50563
$218$	13.9087	+	24.0906i	0.942015	+	1.63162i
$219$	0.599447	+	14.2863i	0.0405069	+	0.965376i
$220$	−0.743152	+	1.28718i	−0.0501033	+	0.0867815i
$221$	−0.281464	+	0.487510i	−0.0189333	+	0.0327935i
$222$	−0.353338	+	0.224259i	−0.0237145	+	0.0150512i
$223$	−11.0797	−	19.1906i	−0.741953	−	1.28510i	−0.951605	−	0.307324i	$-0.900566\pi$
$223$	−11.0797	−	19.1906i	−0.741953	−	1.28510i	0.209652	−	0.977776i	$-0.432767\pi$
$224$	20.3190			1.35762
$225$	1.71237	+	2.46329i	0.114158	+	0.164219i
$226$	−23.2739			−1.54816
$227$	4.83811	+	8.37986i	0.321117	+	0.556191i	0.980719	−	0.195424i	$-0.0626084\pi$
$227$	4.83811	+	8.37986i	0.321117	+	0.556191i	−0.659602	+	0.751615i	$0.729275\pi$
$228$	7.53427	+	3.93837i	0.498969	+	0.260825i
$229$	1.93669	−	3.35445i	0.127980	−	0.221668i	−0.794914	−	0.606723i	$-0.792484\pi$
$229$	1.93669	−	3.35445i	0.127980	−	0.221668i	0.922894	+	0.385054i	$0.125817\pi$
$230$	−6.42339	+	11.1256i	−0.423546	+	0.733603i
$231$	7.74961	+	4.05093i	0.509887	+	0.266532i
$232$	7.11534	+	12.3241i	0.467145	+	0.809118i
$233$	9.91014			0.649235			0.324617	−	0.945845i	$-0.394764\pi$
$233$	9.91014			0.649235			0.324617	+	0.945845i	$0.394764\pi$
$234$	5.24686	−	0.441090i	0.342998	−	0.0288349i
$235$	−1.42175			−0.0927448
$236$	−4.89569	−	8.47958i	−0.318682	−	0.551974i
$237$	6.25551	−	3.97028i	0.406339	−	0.257897i
$238$	−1.81302	+	3.14025i	−0.117521	+	0.203552i
$239$	−6.20462	+	10.7467i	−0.401344	+	0.695147i	−0.993888	−	0.110390i	$-0.964790\pi$
$239$	−6.20462	+	10.7467i	−0.401344	+	0.695147i	0.592545	+	0.805537i	$0.298123\pi$
$240$	−0.362592	−	8.64144i	−0.0234052	−	0.557803i
$241$	5.98505	+	10.3664i	0.385531	+	0.667760i	0.991843	−	0.127468i	$-0.0406849\pi$
$241$	5.98505	+	10.3664i	0.385531	+	0.667760i	−0.606312	+	0.795227i	$0.707352\pi$
$242$	−15.9850			−1.02756
$243$	3.24462	+	15.2470i	0.208142	+	0.978099i
$244$	−5.40633			−0.346105
$245$	−3.23466	−	5.60260i	−0.206655	−	0.357937i
$246$	1.05514	+	25.1466i	0.0672735	+	1.60329i
$247$	−2.27144	+	3.93424i	−0.144528	+	0.250330i
$248$	4.87671	−	8.44671i	0.309671	−	0.536367i
$249$	−0.348090	+	0.220927i	−0.0220593	+	0.0140007i
$250$	−0.877561	−	1.51998i	−0.0555018	−	0.0961320i
$251$	19.4893			1.23016			0.615078	−	0.788466i	$-0.289125\pi$
$251$	19.4893			1.23016			0.615078	+	0.788466i	$0.289125\pi$
$252$	11.8542	−	0.996548i	0.746742	−	0.0627766i
$253$	10.0691			0.633036
$254$	14.1845	+	24.5682i	0.890013	+	1.54155i
$255$	0.864087	+	0.451682i	0.0541112	+	0.0282854i
$256$	−9.86293	+	17.0831i	−0.616433	+	1.06769i
$257$	−10.6593	+	18.4625i	−0.664910	+	1.15166i	0.314400	+	0.949291i	$0.398197\pi$
$257$	−10.6593	+	18.4625i	−0.664910	+	1.15166i	−0.979310	+	0.202367i	$0.935137\pi$
$258$	6.33908	+	3.31361i	0.394654	+	0.206296i
$259$	−0.252620	−	0.437550i	−0.0156970	−	0.0271880i
$260$	−1.08045			−0.0670069
$261$	15.0988	+	21.7200i	0.934593	+	1.34443i
$262$	20.4454			1.26312
$263$	15.1906	+	26.3110i	0.936695	+	1.62240i	0.771583	+	0.636128i	$0.219465\pi$
$263$	15.1906	+	26.3110i	0.936695	+	1.62240i	0.165111	+	0.986275i	$0.447202\pi$
$264$	−3.24670	+	2.06063i	−0.199820	+	0.126823i
$265$	−2.63251	+	4.55964i	−0.161714	+	0.280096i
$266$	−14.6312	+	25.3420i	−0.897098	+	1.55382i
$267$	0.188414	+	4.49036i	0.0115308	+	0.274806i
$268$	−3.39124	−	5.87381i	−0.207153	−	0.358800i
$269$	13.1806			0.803635			0.401817	−	0.915720i	$-0.368379\pi$
$269$	13.1806			0.803635			0.401817	+	0.915720i	$0.368379\pi$
$270$	−1.14430	−	9.04781i	−0.0696402	−	0.550632i
$271$	30.0810			1.82729			0.913646	−	0.406511i	$-0.133255\pi$
$271$	30.0810			1.82729			0.913646	+	0.406511i	$0.133255\pi$
$272$	−1.40550	−	2.43439i	−0.0852208	−	0.147607i
$273$	0.266492	+	6.35114i	0.0161288	+	0.384388i
$274$	−0.784225	+	1.35832i	−0.0473768	+	0.0820589i
$275$	−0.687816	+	1.19133i	−0.0414768	+	0.0718400i
$276$	11.5652	−	7.34024i	0.696141	−	0.441830i
$277$	10.2533	+	17.7593i	0.616064	+	1.06705i	0.990197	+	0.139679i	$0.0446071\pi$
$277$	10.2533	+	17.7593i	0.616064	+	1.06705i	−0.374133	+	0.927375i	$0.622060\pi$
$278$	−1.80340			−0.108161
$279$	7.71781	−	16.4052i	0.462053	−	0.982154i
$280$	5.92317			0.353977
$281$	−13.5982	−	23.5528i	−0.811200	−	1.40504i	−0.912024	−	0.410136i	$-0.865481\pi$
$281$	−13.5982	−	23.5528i	−0.811200	−	1.40504i	0.100824	−	0.994904i	$-0.467852\pi$
$282$	3.83032	+	2.00222i	0.228093	+	0.119230i
$283$	2.63682	−	4.56711i	0.156743	−	0.271486i	−0.776950	−	0.629563i	$-0.783234\pi$
$283$	2.63682	−	4.56711i	0.156743	−	0.271486i	0.933692	+	0.358077i	$0.116567\pi$
$284$	−1.63923	+	2.83923i	−0.0972706	+	0.168478i
$285$	6.97325	+	3.64511i	0.413060	+	0.215918i
$286$	1.20720	+	2.09093i	0.0713832	+	0.123639i
$287$	−30.3855			−1.79360
$288$	−7.07045	+	15.0292i	−0.416631	+	0.885602i
$289$	−16.6831			−0.981360
$290$	−7.73787	−	13.4024i	−0.454383	−	0.787015i
$291$	−17.7092	+	11.2397i	−1.03813	+	0.658885i
$292$	−4.45981	+	7.72461i	−0.260990	+	0.452049i
$293$	−8.30752	+	14.3890i	−0.485330	+	0.840617i	−0.999858	−	0.0168571i	$-0.994634\pi$
$293$	−8.30752	+	14.3890i	−0.485330	+	0.840617i	0.514528	+	0.857474i	$0.327967\pi$
$294$	0.824475	+	19.6492i	0.0480843	+	1.14597i
$295$	−4.53114	−	7.84817i	−0.263813	−	0.456938i
$296$	0.222180			0.0129140
$297$	−5.69298	+	4.32247i	−0.330340	+	0.250815i
$298$	−2.81063			−0.162815
$299$	3.65980	+	6.33895i	0.211651	+	0.366591i
$300$	0.0784543	+	1.86975i	0.00452956	+	0.107950i
$301$	−4.31775	+	7.47856i	−0.248871	+	0.431057i
$302$	−10.7295	+	18.5841i	−0.617414	+	1.06939i
$303$	17.2279	−	10.9343i	0.989714	−	0.628157i
$304$	−11.3425	−	19.6457i	−0.650536	−	1.12676i
$305$	−5.00376			−0.286514
$306$	−1.69184	−	2.43374i	−0.0967159	−	0.139128i
$307$	−14.2267			−0.811962			−0.405981	−	0.913882i	$-0.633070\pi$
$307$	−14.2267			−0.811962			−0.405981	+	0.913882i	$0.633070\pi$
$308$	2.72741	+	4.72402i	0.155409	+	0.269176i
$309$	−7.55809	−	3.95082i	−0.429965	−	0.224754i
$310$	−5.30338	+	9.18573i	−0.301212	+	0.521714i
$311$	5.26577	−	9.12058i	0.298594	−	0.517181i	−0.677220	−	0.735780i	$-0.736816\pi$
$311$	5.26577	−	9.12058i	0.298594	−	0.517181i	0.975815	+	0.218600i	$0.0701489\pi$
$312$	−2.47734	−	1.29497i	−0.140252	−	0.0733135i
$313$	−2.55332	−	4.42248i	−0.144322	−	0.249973i	0.784798	−	0.619752i	$-0.212767\pi$
$313$	−2.55332	−	4.42248i	−0.144322	−	0.249973i	−0.929120	+	0.369779i	$0.879433\pi$
$314$	−17.5238			−0.988926
$315$	10.9715	−	0.922343i	0.618173	−	0.0519681i
$316$	4.62178			0.259996
$317$	11.3447	+	19.6496i	0.637183	+	1.10363i	0.986048	+	0.166461i	$0.0532340\pi$
$317$	11.3447	+	19.6496i	0.637183	+	1.10363i	−0.348865	+	0.937173i	$0.613433\pi$
$318$	13.5134	−	8.57678i	0.757795	−	0.480962i
$319$	−6.06480	+	10.5045i	−0.339563	+	0.588141i
$320$	−0.134985	+	0.233802i	−0.00754591	+	0.0130699i
$321$	1.38130	+	32.9197i	0.0770968	+	1.83740i
$322$	23.5742	+	40.8317i	1.31374	+	2.27546i
$323$	2.55731			0.142292
$324$	−3.38782	+	9.11484i	−0.188212	+	0.506380i
$325$	−1.00000			−0.0554700
$326$	−18.1097	−	31.3669i	−1.00300	−	1.73725i
$327$	−1.15085	−	27.4276i	−0.0636423	−	1.51675i
$328$	6.68104	−	11.5719i	0.368899	−	0.638952i
$329$	−2.60895	+	4.51884i	−0.143836	+	0.249132i
$330$	3.53076	−	2.24092i	0.194362	−	0.123359i
$331$	−9.40797	−	16.2951i	−0.517109	−	0.895659i	−0.999803	−	0.0198698i	$-0.993675\pi$
$331$	−9.40797	−	16.2951i	−0.517109	−	0.895659i	0.482694	−	0.875789i	$-0.339659\pi$
$332$	−0.257181			−0.0141146
$333$	0.411544	−	0.0345974i	0.0225525	−	0.00189593i
$334$	32.0711			1.75485
$335$	−3.13872	−	5.43643i	−0.171487	−	0.297024i
$336$	−28.1310	−	14.7048i	−1.53467	−	0.802215i
$337$	−9.02719	+	15.6355i	−0.491742	+	0.851722i	−0.999955	−	0.00950927i	$-0.996973\pi$
$337$	−9.02719	+	15.6355i	−0.491742	+	0.851722i	0.508213	+	0.861232i	$0.330306\pi$
$338$	−0.877561	+	1.51998i	−0.0477330	+	0.0826760i
$339$	20.3548	+	10.6400i	1.10552	+	0.577887i
$340$	0.304109	+	0.526731i	0.0164926	+	0.0285660i
$341$	8.31338			0.450195
$342$	−13.6533	−	19.6405i	−0.738283	−	1.06204i
$343$	1.94760			0.105160
$344$	−1.89874	−	3.28871i	−0.102373	−	0.177316i
$345$	10.7040	−	6.79367i	0.576283	−	0.365759i
$346$	14.0638	−	24.3592i	0.756075	−	1.30956i
$347$	7.97464	−	13.8125i	0.428101	−	0.741493i	−0.568603	−	0.822612i	$-0.692516\pi$
$347$	7.97464	−	13.8125i	0.428101	−	0.741493i	0.996704	+	0.0811189i	$0.0258494\pi$
$348$	0.691769	+	16.4865i	0.0370827	+	0.883770i
$349$	−7.86498	−	13.6225i	−0.421003	−	0.729198i	0.575035	−	0.818129i	$-0.304988\pi$
$349$	−7.86498	−	13.6225i	−0.421003	−	0.729198i	−0.996038	+	0.0889308i	$0.971655\pi$
$350$	−6.44140			−0.344307
$351$	−4.79043	−	2.01291i	−0.255694	−	0.107441i
$352$	−7.61606			−0.405938
$353$	4.77098	+	8.26358i	0.253934	+	0.439826i	0.964605	−	0.263698i	$-0.0849422\pi$
$353$	4.77098	+	8.26358i	0.253934	+	0.439826i	−0.710672	+	0.703524i	$0.751609\pi$
$354$	1.15493	+	27.5248i	0.0613839	+	1.46293i
$355$	−1.51717	+	2.62782i	−0.0805231	+	0.139470i
$356$	−1.40178	+	2.42795i	−0.0742940	+	0.128681i
$357$	3.02123	−	1.91753i	0.159901	−	0.101487i
$358$	−5.15507	−	8.92885i	−0.272454	−	0.471904i
$359$	16.6365			0.878039			0.439020	−	0.898478i	$-0.355326\pi$
$359$	16.6365			0.878039			0.439020	+	0.898478i	$0.355326\pi$
$360$	−2.06110	+	4.38114i	−0.108630	+	0.230906i
$361$	1.63768			0.0861935
$362$	0.957937	+	1.65920i	0.0503480	+	0.0872054i
$363$	13.9801	+	7.30779i	0.733766	+	0.383559i
$364$	−1.98266	+	3.43407i	−0.103920	+	0.179994i
$365$	−4.12772	+	7.14942i	−0.216055	+	0.374218i
$366$	13.4806	+	7.04667i	0.704641	+	0.368335i
$367$	1.97369	+	3.41852i	0.103026	+	0.178445i	0.912930	−	0.408117i	$-0.133814\pi$
$367$	1.97369	+	3.41852i	0.103026	+	0.178445i	−0.809904	+	0.586562i	$0.800481\pi$
$368$	−36.5506			−1.90533
$369$	10.5733	−	22.4750i	0.550426	−	1.17000i
$370$	−0.241619			−0.0125612
$371$	9.66145	+	16.7341i	0.501598	+	0.868793i
$372$	9.54861	−	6.06037i	0.495073	−	0.314215i
$373$	−6.79518	+	11.7696i	−0.351841	+	0.609407i	−0.986572	−	0.163326i	$-0.947778\pi$
$373$	−6.79518	+	11.7696i	−0.351841	+	0.609407i	0.634731	+	0.772733i	$0.281111\pi$
$374$	0.679566	−	1.17704i	0.0351395	−	0.0608635i
$375$	0.0726124	+	1.73053i	0.00374969	+	0.0893641i
$376$	−1.14729	−	1.98717i	−0.0591672	−	0.102481i
$377$	−8.81747			−0.454123
$378$	−30.8571	−	12.9660i	−1.58712	−	0.666898i
$379$	15.2538			0.783534			0.391767	−	0.920064i	$-0.371864\pi$
$379$	15.2538			0.783534			0.391767	+	0.920064i	$0.371864\pi$
$380$	2.45418	+	4.25076i	0.125897	+	0.218060i
$381$	−1.17367	−	27.9714i	−0.0601291	−	1.43302i
$382$	23.1697	−	40.1311i	1.18546	−	2.05329i
$383$	9.47195	−	16.4059i	0.483994	−	0.838303i	−0.515837	−	0.856687i	$-0.672519\pi$
$383$	9.47195	−	16.4059i	0.483994	−	0.838303i	0.999831	+	0.0183844i	$0.00585225\pi$
$384$	16.8856	−	10.7170i	0.861687	−	0.546900i
$385$	2.52432	+	4.37226i	0.128651	+	0.222831i
$386$	8.83061			0.449466
$387$	−4.02914	−	5.79601i	−0.204813	−	0.294628i
$388$	−13.0841			−0.664246
$389$	−8.71565	−	15.0959i	−0.441901	−	0.765395i	0.555930	−	0.831229i	$-0.312362\pi$
$389$	−8.71565	−	15.0959i	−0.441901	−	0.765395i	−0.997831	+	0.0658344i	$0.979029\pi$
$390$	2.69409	+	1.40827i	0.136421	+	0.0713108i
$391$	2.06020	−	3.56837i	0.104189	−	0.180460i
$392$	5.22048	−	9.04214i	0.263674	−	0.456697i
$393$	−17.8810	−	9.34690i	−0.901979	−	0.471489i
$394$	20.1116	+	34.8343i	1.01321	+	1.75493i
$395$	4.27764			0.215231
$396$	−4.44324	+	0.373532i	−0.223281	+	0.0187707i
$397$	27.2409			1.36718			0.683591	−	0.729866i	$-0.260417\pi$
$397$	27.2409			1.36718			0.683591	+	0.729866i	$0.260417\pi$
$398$	−18.7759	−	32.5208i	−0.941151	−	1.63012i
$399$	24.3816	−	15.4746i	1.22061	−	0.774701i
$400$	2.49676	−	4.32452i	0.124838	−	0.216226i
$401$	−11.9157	+	20.6386i	−0.595041	+	1.03064i	0.398500	+	0.917168i	$0.369531\pi$
$401$	−11.9157	+	20.6386i	−0.595041	+	1.03064i	−0.993541	+	0.113473i	$0.963802\pi$
$402$	0.800021	+	19.0664i	0.0399014	+	0.950946i
$403$	3.02166	+	5.23367i	0.150520	+	0.260708i
$404$	12.7285			0.633268
$405$	−3.13556	+	8.43613i	−0.155807	+	0.419195i
$406$	−56.7969			−2.81878
$407$	0.0946883	+	0.164005i	0.00469352	+	0.00812942i
$408$	0.0659697	+	1.57222i	0.00326599	+	0.0778363i
$409$	−0.515569	+	0.892992i	−0.0254933	+	0.0441556i	−0.878491	−	0.477760i	$-0.841449\pi$
$409$	−0.515569	+	0.892992i	−0.0254933	+	0.0441556i	0.852997	+	0.521915i	$0.174782\pi$
$410$	−7.26558	+	12.5844i	−0.358822	+	0.621497i
$411$	1.30684	−	0.829432i	0.0644616	−	0.0409128i
$412$	−2.66001	−	4.60727i	−0.131049	−	0.226984i
$413$	−33.2591			−1.63657
$414$	−38.4049	+	3.22860i	−1.88750	+	0.158677i
$415$	−0.238030			−0.0116845
$416$	−2.76821	−	4.79468i	−0.135723	−	0.235078i
$417$	1.57721	+	0.824450i	0.0772362	+	0.0403735i
$418$	5.48415	−	9.49883i	0.268239	−	0.464603i
$419$	−10.4395	+	18.0817i	−0.510001	+	0.883348i	0.489932	+	0.871761i	$0.337022\pi$
$419$	−10.4395	+	18.0817i	−0.510001	+	0.883348i	−0.999933	+	0.0115873i	$0.996312\pi$
$420$	6.08673	+	3.18170i	0.297002	+	0.155251i
$421$	19.3425	+	33.5022i	0.942695	+	1.63280i	0.760302	+	0.649570i	$0.225051\pi$
$421$	19.3425	+	33.5022i	0.942695	+	1.63280i	0.182393	+	0.983226i	$0.441616\pi$
$422$	−47.7373			−2.32381
$423$	−2.43457	−	3.50218i	−0.118373	−	0.170282i
$424$	−8.49729			−0.412665
$425$	0.281464	+	0.487510i	0.0136530	+	0.0236477i
$426$	7.78809	−	4.94299i	0.377334	−	0.239488i
$427$	−9.18204	+	15.9038i	−0.444350	+	0.769637i
$428$	−10.2767	+	17.7998i	−0.496743	+	0.860384i
$429$	−0.0998879	−	2.38057i	−0.00482263	−	0.114935i
$430$	2.06487	+	3.57645i	0.0995766	+	0.172472i
$431$	−4.20227			−0.202416			−0.101208	−	0.994865i	$-0.532271\pi$
$431$	−4.20227			−0.202416			−0.101208	+	0.994865i	$0.532271\pi$
$432$	20.6654	−	15.6905i	0.994267	−	0.754911i
$433$	−32.7943			−1.57599			−0.787996	−	0.615680i	$-0.788881\pi$
$433$	−32.7943			−1.57599			−0.787996	+	0.615680i	$0.788881\pi$
$434$	19.4637	+	33.7122i	0.934289	+	1.61824i
$435$	0.640258	+	15.2589i	0.0306980	+	0.731608i
$436$	8.56219	−	14.8301i	0.410054	−	0.710235i
$437$	16.6260	−	28.7970i	0.795329	−	1.37755i
$438$	21.1888	−	13.4482i	1.01244	−	0.642581i
$439$	−17.6144	−	30.5090i	−0.840688	−	1.45611i	−0.889314	−	0.457297i	$-0.848818\pi$
$439$	−17.6144	−	30.5090i	−0.840688	−	1.45611i	0.0486260	−	0.998817i	$-0.484516\pi$
$440$	−2.22015			−0.105842
$441$	8.26186	−	17.5616i	0.393422	−	0.836269i
$442$	0.988007			0.0469947
$443$	−16.0022	−	27.7166i	−0.760288	−	1.31686i	−0.942702	−	0.333636i	$-0.891724\pi$
$443$	−16.0022	−	27.7166i	−0.760288	−	1.31686i	0.182414	−	0.983222i	$-0.441609\pi$
$444$	0.228315	+	0.119347i	0.0108354	+	0.00566394i
$445$	−1.29740	+	2.24716i	−0.0615025	+	0.106525i
$446$	−19.4463	+	33.6819i	−0.920807	+	1.59489i
$447$	2.45811	+	1.28492i	0.116264	+	0.0607746i
$448$	0.495404	+	0.858065i	0.0234056	+	0.0405398i
$449$	−22.9644			−1.08376			−0.541879	−	0.840457i	$-0.682287\pi$
$449$	−22.9644			−1.08376			−0.541879	+	0.840457i	$0.682287\pi$
$450$	2.24143	−	4.76446i	0.105662	−	0.224599i
$451$	11.3893			0.536299
$452$	7.16372	+	12.4079i	0.336953	+	0.583619i
$453$	17.8798	−	11.3480i	0.840064	−	0.533176i
$454$	8.49148	−	14.7077i	0.398525	−	0.690265i
$455$	−1.83503	+	3.17836i	−0.0860275	+	0.149004i
$456$	0.532381	+	12.6879i	0.0249310	+	0.594166i
$457$	−17.0839	−	29.5902i	−0.799150	−	1.38417i	−0.920170	−	0.391519i	$-0.871950\pi$
$457$	−17.0839	−	29.5902i	−0.799150	−	1.38417i	0.121020	−	0.992650i	$-0.461384\pi$
$458$	−6.79827			−0.317662
$459$	0.367018	+	2.90194i	0.0171309	+	0.135451i
$460$	7.90848			0.368735
$461$	9.11170	+	15.7819i	0.424374	+	0.735038i	0.996362	−	0.0852247i	$-0.0271608\pi$
$461$	9.11170	+	15.7819i	0.424374	+	0.735038i	−0.571988	+	0.820262i	$0.693827\pi$
$462$	−0.643418	−	15.3342i	−0.0299345	−	0.713411i
$463$	−20.4267	+	35.3800i	−0.949308	+	1.64425i	−0.202420	+	0.979299i	$0.564881\pi$
$463$	−20.4267	+	35.3800i	−0.949308	+	1.64425i	−0.746888	+	0.664950i	$0.768453\pi$
$464$	22.0151	−	38.1314i	1.02203	−	1.77020i
$465$	8.83760	−	5.60910i	0.409834	−	0.260116i
$466$	−8.69675	−	15.0632i	−0.402869	−	0.697790i
$467$	−39.5314			−1.82929			−0.914646	−	0.404255i	$-0.867531\pi$
$467$	−39.5314			−1.82929			−0.914646	+	0.404255i	$0.867531\pi$
$468$	−1.85014	−	2.66146i	−0.0855227	−	0.123026i
$469$	−23.0386			−1.06382
$470$	1.24767	+	2.16103i	0.0575509	+	0.0996810i
$471$	15.3259	+	8.01127i	0.706180	+	0.369140i
$472$	7.31289	−	12.6663i	0.336603	−	0.583014i
$473$	1.61840	−	2.80315i	0.0744142	−	0.128889i
$474$	−11.5243	−	6.02408i	−0.529330	−	0.276695i
$475$	2.27144	+	3.93424i	0.104221	+	0.180515i
$476$	2.23219			0.102312
$477$	−15.7395	+	1.32318i	−0.720663	+	0.0605843i
$478$	21.7797			0.996182
$479$	15.9895	+	27.6947i	0.730581	+	1.26540i	0.956635	+	0.291288i	$0.0940839\pi$
$479$	15.9895	+	27.6947i	0.730581	+	1.26540i	−0.226055	+	0.974115i	$0.572583\pi$
$480$	−8.09632	+	5.13861i	−0.369545	+	0.234545i
$481$	−0.0688326	+	0.119222i	−0.00313850	+	0.00543604i
$482$	10.5045	−	18.1943i	0.478467	−	0.828729i
$483$	−1.95061	−	46.4877i	−0.0887559	−	2.11527i
$484$	4.92019	+	8.52202i	0.223645	+	0.387364i
$485$	−12.1099			−0.549880
$486$	20.3279	−	18.3120i	0.922090	−	0.830648i
$487$	−36.9408			−1.67395			−0.836973	−	0.547244i	$-0.815677\pi$
$487$	−36.9408			−1.67395			−0.836973	+	0.547244i	$0.815677\pi$
$488$	−4.03783	−	6.99372i	−0.182784	−	0.316591i
$489$	1.49846	+	35.7118i	0.0677626	+	1.61495i
$490$	−5.67723	+	9.83325i	−0.256471	+	0.444221i
$491$	19.9223	−	34.5065i	0.899082	−	1.55726i	0.0704130	−	0.997518i	$-0.477568\pi$
$491$	19.9223	−	34.5065i	0.899082	−	1.55726i	0.828669	−	0.559738i	$-0.189098\pi$
$492$	13.0815	−	8.30264i	0.589760	−	0.374312i
$493$	2.48180	+	4.29860i	0.111775	+	0.193599i
$494$	7.97329			0.358735
$495$	−4.11239	+	0.345718i	−0.184838	+	0.0155389i
$496$	−30.1775			−1.35501
$497$	5.56811	+	9.64425i	0.249764	+	0.432604i
$498$	0.641275	+	0.335212i	0.0287362	+	0.0150212i
$499$	−8.14915	+	14.1147i	−0.364806	+	0.631863i	−0.988745	−	0.149611i	$-0.952198\pi$
$499$	−8.14915	+	14.1147i	−0.364806	+	0.631863i	0.623939	+	0.781473i	$0.285531\pi$
$500$	−0.540227	+	0.935700i	−0.0241597	+	0.0418458i
$501$	−28.0486	−	14.6618i	−1.25312	−	0.655040i
$502$	−17.1031	−	29.6234i	−0.763348	−	1.32216i
$503$	14.6428			0.652890			0.326445	−	0.945216i	$-0.394149\pi$
$503$	14.6428			0.652890			0.326445	+	0.945216i	$0.394149\pi$
$504$	10.1427	+	14.5905i	0.451791	+	0.649911i
$505$	11.7807			0.524236
$506$	−8.83621	−	15.3048i	−0.392818	−	0.680380i
$507$	1.46238	−	0.928148i	0.0649464	−	0.0412205i
$508$	8.73196	−	15.1242i	0.387418	−	0.671028i
$509$	−7.44789	+	12.9001i	−0.330122	+	0.571788i	−0.982536	−	0.186075i	$-0.940423\pi$
$509$	−7.44789	+	12.9001i	−0.330122	+	0.571788i	0.652413	+	0.757863i	$0.273757\pi$
$510$	−0.0717416	−	1.70977i	−0.00317677	−	0.0757100i
$511$	15.1490	+	26.2388i	0.670151	+	1.16074i
$512$	11.5280			0.509469
$513$	2.96186	+	23.4189i	0.130769	+	1.03397i
$514$	37.4168			1.65038
$515$	−2.46194	−	4.26420i	−0.108486	−	0.187903i
$516$	−0.184600	−	4.39946i	−0.00812655	−	0.193675i
$517$	0.977902	−	1.69378i	0.0430081	−	0.0744922i
$518$	−0.443378	+	0.767954i	−0.0194809	+	0.0337420i
$519$	−23.4361	+	14.8745i	−1.02873	+	0.652919i
$520$	−0.806959	−	1.39769i	−0.0353875	−	0.0612929i
$521$	−8.33697			−0.365249			−0.182625	−	0.983183i	$-0.558459\pi$
$521$	−8.33697			−0.365249			−0.182625	+	0.983183i	$0.558459\pi$
$522$	19.7638	−	42.0105i	0.865037	−	1.83875i
$523$	−37.4803			−1.63890			−0.819450	−	0.573150i	$-0.805721\pi$
$523$	−37.4803			−1.63890			−0.819450	+	0.573150i	$0.805721\pi$
$524$	−6.29309	−	10.8999i	−0.274915	−	0.476166i
$525$	5.63349	+	2.94478i	0.245866	+	0.128521i
$526$	26.6614	−	46.1789i	1.16249	−	2.01350i
$527$	1.70098	−	2.94618i	0.0740957	−	0.128338i
$528$	10.5442	+	5.51175i	0.458878	+	0.239868i
$529$	−15.2882	−	26.4800i	−0.664705	−	1.15130i
$530$	9.24074			0.401392
$531$	11.5733	−	24.6005i	0.502238	−	1.06757i
$532$	18.0140			0.781004
$533$	4.13965	+	7.17008i	0.179308	+	0.310570i
$534$	6.65992	−	4.22695i	0.288203	−	0.182918i
$535$	−9.51147	+	16.4744i	−0.411217	+	0.712248i
$536$	5.06564	−	8.77394i	0.218802	−	0.378977i
$537$	0.426548	+	10.1657i	0.0184069	+	0.438681i
$538$	−11.5668	−	20.0342i	−0.498679	−	0.863737i
$539$	8.89941			0.383325
$540$	−4.47140	+	3.39497i	−0.192418	+	0.146096i
$541$	3.76481			0.161862			0.0809309	−	0.996720i	$-0.474211\pi$
$541$	3.76481			0.161862			0.0809309	+	0.996720i	$0.474211\pi$
$542$	−26.3979	−	45.7226i	−1.13389	−	1.96395i
$543$	−0.0792630	−	1.88903i	−0.00340150	−	0.0810659i
$544$	−1.55830	+	2.69906i	−0.0668116	+	0.115721i
$545$	7.92463	−	13.7259i	0.339454	−	0.587951i
$546$	9.41974	−	5.97857i	0.403128	−	0.255859i
$547$	9.59238	+	16.6145i	0.410140	+	0.710384i	0.994905	−	0.100819i	$-0.0321464\pi$
$547$	9.59238	+	16.6145i	0.410140	+	0.710384i	−0.584764	+	0.811203i	$0.698813\pi$
$548$	0.965537			0.0412457
$549$	−8.56830	−	12.3257i	−0.365686	−	0.526048i
$550$	2.41440			0.102950
$551$	20.0283	+	34.6901i	0.853235	+	1.47785i
$552$	18.1331	+	9.47869i	0.771798	+	0.403440i
$553$	7.84959	−	13.5959i	0.333798	−	0.578156i
$554$	17.9959	−	31.1698i	0.764572	−	1.32428i
$555$	0.211314	+	0.110460i	0.00896980	+	0.00468876i
$556$	0.555086	+	0.961436i	0.0235409	+	0.0407740i
$557$	−12.0185			−0.509242			−0.254621	−	0.967041i	$-0.581951\pi$
$557$	−12.0185			−0.509242			−0.254621	+	0.967041i	$0.581951\pi$
$558$	−31.7084	+	2.66565i	−1.34233	+	0.112846i
$559$	2.35296			0.0995196
$560$	−9.16327	−	15.8712i	−0.387219	−	0.670683i
$561$	−1.13244	+	0.718740i	−0.0478115	+	0.0303452i
$562$	−23.8665	+	41.3380i	−1.00675	+	1.74374i
$563$	9.24069	−	16.0053i	0.389449	−	0.674545i	−0.602927	−	0.797796i	$-0.705999\pi$
$563$	9.24069	−	16.0053i	0.389449	−	0.674545i	0.992375	+	0.123252i	$0.0393323\pi$
$564$	−0.111542	−	2.65832i	−0.00469678	−	0.111936i
$565$	6.63029	+	11.4840i	0.278938	+	0.483135i
$566$	−9.25588			−0.389054
$567$	21.0593	+	25.4465i	0.884405	+	1.06865i
$568$	−4.89718			−0.205481
$569$	1.20163	+	2.08129i	0.0503751	+	0.0872523i	0.890113	−	0.455739i	$-0.150625\pi$
$569$	1.20163	+	2.08129i	0.0503751	+	0.0872523i	−0.839738	+	0.542991i	$0.817292\pi$
$570$	−0.578960	−	13.7980i	−0.0242500	−	0.577935i
$571$	1.13349	−	1.96326i	0.0474349	−	0.0821597i	−0.841333	−	0.540517i	$-0.818229\pi$
$571$	1.13349	−	1.96326i	0.0474349	−	0.0821597i	0.888768	+	0.458357i	$0.151562\pi$
$572$	0.743152	−	1.28718i	0.0310728	−	0.0538196i
$573$	−38.6102	+	24.5053i	−1.61296	+	1.02372i
$574$	26.6651	+	46.1853i	1.11298	+	1.92774i
$575$	7.31959			0.305248
$576$	−0.807065	+	0.0678479i	−0.0336277	+	0.00282699i
$577$	14.8087			0.616493			0.308246	−	0.951307i	$-0.400258\pi$
$577$	14.8087			0.616493			0.308246	+	0.951307i	$0.400258\pi$
$578$	14.6404	+	25.3580i	0.608962	+	1.05475i
$579$	−7.72304	−	4.03704i	−0.320958	−	0.167774i
$580$	−4.76343	+	8.25051i	−0.197791	+	0.342584i
$581$	−0.436793	+	0.756547i	−0.0181212	+	0.0313869i
$582$	32.6250	+	17.0540i	1.35235	+	0.706911i
$583$	−3.62136	−	6.27238i	−0.149981	−	0.259775i
$584$	−13.3236			−0.551334
$585$	−1.71237	−	2.46329i	−0.0707979	−	0.101844i
$586$	29.1614			1.20465
$587$	−1.47020	−	2.54646i	−0.0606816	−	0.105104i	0.834089	−	0.551630i	$-0.185994\pi$
$587$	−1.47020	−	2.54646i	−0.0606816	−	0.105104i	−0.894770	+	0.446527i	$0.852661\pi$
$588$	10.2217	−	6.48758i	0.421536	−	0.267543i
$589$	13.7270	−	23.7759i	0.565612	−	0.979668i
$590$	−7.95271	+	13.7745i	−0.327408	+	0.567087i
$591$	−1.66410	−	39.6595i	−0.0684520	−	1.63138i
$592$	−0.343718	−	0.595336i	−0.0141267	−	0.0244682i
$593$	18.5447			0.761540			0.380770	−	0.924670i	$-0.375659\pi$
$593$	18.5447			0.761540			0.380770	+	0.924670i	$0.375659\pi$
$594$	11.5660	+	4.85998i	0.474559	+	0.199407i
$595$	2.06598			0.0846968
$596$	0.865111	+	1.49842i	0.0354363	+	0.0613775i
$597$	1.55358	+	37.0256i	0.0635839	+	1.51536i
$598$	6.42339	−	11.1256i	0.262672	−	0.454961i
$599$	−19.4484	+	33.6857i	−0.794641	+	1.37636i	0.128426	+	0.991719i	$0.459008\pi$
$599$	−19.4484	+	33.6857i	−0.794641	+	1.37636i	−0.923067	+	0.384639i	$0.874326\pi$
$600$	−2.36015	+	1.49795i	−0.0963528	+	0.0611537i
$601$	−13.3505	−	23.1237i	−0.544577	−	0.943235i	−0.998633	−	0.0522619i	$-0.983357\pi$
$601$	−13.3505	−	23.1237i	−0.544577	−	0.943235i	0.454057	−	0.890973i	$-0.349976\pi$
$602$	15.1564			0.617727
$603$	8.01681	−	17.0408i	0.326470	−	0.693954i
$604$	13.2102			0.537514
$605$	4.55382	+	7.88745i	0.185139	+	0.320670i
$606$	−31.7384	−	16.5905i	−1.28928	−	0.673943i
$607$	1.88759	−	3.26940i	0.0766149	−	0.132701i	−0.825172	−	0.564881i	$-0.808922\pi$
$607$	1.88759	−	3.26940i	0.0766149	−	0.132701i	0.901787	+	0.432180i	$0.142255\pi$
$608$	−12.5756	+	21.7816i	−0.510008	+	0.883360i
$609$	49.6732	+	25.9655i	2.01286	+	1.05218i
$610$	4.39110	+	7.60562i	0.177791	+	0.307942i
$611$	1.42175			0.0575179
$612$	−0.776743	+	1.65107i	−0.0313980	+	0.0667404i
$613$	21.4506			0.866384			0.433192	−	0.901302i	$-0.357387\pi$
$613$	21.4506			0.866384			0.433192	+	0.901302i	$0.357387\pi$
$614$	12.4848	+	21.6243i	0.503846	+	0.872687i
$615$	12.1074	−	7.68441i	0.488219	−	0.309865i
$616$	−4.07405	+	7.05646i	−0.164148	+	0.284313i
$617$	−3.55797	+	6.16258i	−0.143238	+	0.248096i	−0.928714	−	0.370796i	$-0.879085\pi$
$617$	−3.55797	+	6.16258i	−0.143238	+	0.248096i	0.785476	+	0.618892i	$0.212418\pi$
$618$	0.627517	+	14.9552i	0.0252424	+	0.601588i
$619$	−0.937911	−	1.62451i	−0.0376978	−	0.0652946i	0.846561	−	0.532292i	$-0.178669\pi$
$619$	−0.937911	−	1.62451i	−0.0376978	−	0.0652946i	−0.884259	+	0.466997i	$0.845336\pi$
$620$	6.52952			0.262232
$621$	35.0640	+	14.7337i	1.40707	+	0.591243i
$622$	−18.4841			−0.741147
$623$	4.76152	+	8.24720i	0.190766	+	0.330417i
$624$	0.362592	+	8.64144i	0.0145153	+	0.345934i
$625$	−0.500000	+	0.866025i	−0.0200000	+	0.0346410i
$626$	−4.48138	+	7.76199i	−0.179112	+	0.310231i
$627$	−9.13884	+	5.80029i	−0.364970	+	0.231641i
$628$	5.39383	+	9.34239i	0.215237	+	0.372802i
$629$	0.0774956			0.00308995
$630$	−11.0301	−	15.8670i	−0.439449	−	0.632157i
$631$	−3.97963			−0.158426			−0.0792132	−	0.996858i	$-0.525241\pi$
$631$	−3.97963			−0.158426			−0.0792132	+	0.996858i	$0.525241\pi$
$632$	3.45187	+	5.97882i	0.137308	+	0.237825i
$633$	41.7499	+	21.8238i	1.65941	+	0.867418i
$634$	19.9114	−	34.4875i	0.790782	−	1.36967i
$635$	8.08176	−	13.9980i	0.320715	−	0.555494i
$636$	−8.73193	−	4.56442i	−0.346243	−	0.180991i
$637$	3.23466	+	5.60260i	0.128162	+	0.221983i
$638$	21.2889			0.842836
$639$	−9.07103	+	0.762578i	−0.358845	+	0.0301671i
$640$	11.5467			0.456422
$641$	6.82562	+	11.8223i	0.269596	+	0.466953i	0.968757	−	0.248010i	$-0.0797766\pi$
$641$	6.82562	+	11.8223i	0.269596	+	0.466953i	−0.699162	+	0.714963i	$0.746443\pi$
$642$	48.8252	−	30.9886i	1.92698	−	1.22302i
$643$	−19.3981	+	33.5986i	−0.764988	+	1.32500i	0.175265	+	0.984521i	$0.443922\pi$
$643$	−19.3981	+	33.5986i	−0.764988	+	1.32500i	−0.940253	+	0.340477i	$0.889412\pi$
$644$	14.5123	−	25.1360i	0.571864	−	0.990498i
$645$	−0.170854	−	4.07186i	−0.00672737	−	0.160329i
$646$	−2.24419	−	3.88706i	−0.0882966	−	0.152934i
$647$	−1.26108			−0.0495780			−0.0247890	−	0.999693i	$-0.507891\pi$
$647$	−1.26108			−0.0495780			−0.0247890	+	0.999693i	$0.507891\pi$
$648$	−14.3214	+	2.42506i	−0.562597	+	0.0952654i
$649$	12.4664			0.489348
$650$	0.877561	+	1.51998i	0.0344208	+	0.0596185i
$651$	−1.61050	−	38.3820i	−0.0631203	−	1.50431i
$652$	−11.1483	+	19.3095i	−0.436602	+	0.756217i
$653$	7.17740	−	12.4316i	0.280873	−	0.486487i	−0.690727	−	0.723116i	$-0.742709\pi$
$653$	7.17740	−	12.4316i	0.280873	−	0.486487i	0.971600	+	0.236629i	$0.0760426\pi$
$654$	−40.6794	+	25.8186i	−1.59069	+	1.00959i
$655$	−5.82449	−	10.0883i	−0.227582	−	0.394183i
$656$	−41.3429			−1.61417
$657$	−24.6793	+	2.07472i	−0.962829	+	0.0809425i
$658$	9.15806			0.357019
$659$	−4.04004	−	6.99756i	−0.157378	−	0.272586i	0.776545	−	0.630062i	$-0.216971\pi$
$659$	−4.04004	−	6.99756i	−0.157378	−	0.272586i	−0.933922	+	0.357476i	$0.883637\pi$
$660$	−2.28146	−	1.19258i	−0.0888057	−	0.0464212i
$661$	17.1373	−	29.6826i	0.666563	−	1.15452i	−0.312296	−	0.949985i	$-0.601098\pi$
$661$	17.1373	−	29.6826i	0.666563	−	1.15452i	0.978859	−	0.204536i	$-0.0655684\pi$
$662$	−16.5121	+	28.5999i	−0.641763	+	1.11157i
$663$	−0.864087	−	0.451682i	−0.0335584	−	0.0175419i
$664$	−0.192081	−	0.332693i	−0.00745418	−	0.0129110i
$665$	16.6726			0.646536
$666$	−0.413742	−	0.595177i	−0.0160322	−	0.0230627i
$667$	64.5403			2.49901
$668$	−9.87148	−	17.0979i	−0.381939	−	0.661538i
$669$	32.4054	−	20.5673i	1.25287	−	0.795176i
$670$	−5.50884	+	9.54159i	−0.212825	+	0.368624i
$671$	3.44166	−	5.96114i	0.132864	−	0.230127i
$672$	1.47541	+	35.1625i	0.0569151	+	1.35642i
$673$	−10.1857	−	17.6421i	−0.392630	−	0.680055i	0.600166	−	0.799876i	$-0.295101\pi$
$673$	−10.1857	−	17.6421i	−0.392630	−	0.680055i	−0.992796	+	0.119821i	$0.961768\pi$
$674$	31.6876			1.22056
$675$	−4.13845	+	3.14217i	−0.159289	+	0.120942i
$676$	1.08045			0.0415559
$677$	−1.41386	−	2.44887i	−0.0543390	−	0.0941179i	0.837576	−	0.546320i	$-0.183972\pi$
$677$	−1.41386	−	2.44887i	−0.0543390	−	0.0941179i	−0.891915	+	0.452202i	$0.850638\pi$
$678$	−1.68998	−	40.2762i	−0.0649031	−	1.54680i
$679$	−22.2219	+	38.4895i	−0.852800	+	1.47709i
$680$	−0.454259	+	0.786800i	−0.0174201	+	0.0301724i
$681$	−14.1503	+	8.98097i	−0.542240	+	0.344152i
$682$	−7.29550	−	12.6362i	−0.279359	−	0.483864i
$683$	12.7250			0.486907			0.243453	−	0.969913i	$-0.421720\pi$
$683$	12.7250			0.486907			0.243453	+	0.969913i	$0.421720\pi$
$684$	−6.26838	+	13.3242i	−0.239677	+	0.509465i
$685$	0.893641			0.0341443
$686$	−1.70914	−	2.96031i	−0.0652551	−	0.113025i
$687$	5.94560	+	3.10793i	0.226839	+	0.118575i
$688$	−5.87478	+	10.1754i	−0.223974	+	0.387934i
$689$	2.63251	−	4.55964i	0.100291	−	0.173708i
$690$	−19.7196	−	10.3080i	−0.750714	−	0.392419i
$691$	−0.212688	−	0.368387i	−0.00809104	−	0.0140141i	0.861952	−	0.506991i	$-0.169242\pi$
$691$	−0.212688	−	0.368387i	−0.00809104	−	0.0140141i	−0.870043	+	0.492977i	$0.835909\pi$
$692$	−17.3154			−0.658231
$693$	−6.44753	+	13.7051i	−0.244922	+	0.520612i
$694$	−27.9929			−1.06260
$695$	0.513753	+	0.889846i	0.0194877	+	0.0337538i
$696$	−20.8106	+	13.2082i	−0.788823	+	0.500654i
$697$	2.33032	−	4.03623i	0.0882672	−	0.152883i
$698$	−13.8040	+	23.9092i	−0.522489	+	0.904977i
$699$	0.719599	+	17.1498i	0.0272177	+	0.648664i
$700$	1.98266	+	3.43407i	0.0749376	+	0.129796i
$701$	4.20502			0.158822			0.0794108	−	0.996842i	$-0.474696\pi$
$701$	4.20502			0.158822			0.0794108	+	0.996842i	$0.474696\pi$
$702$	1.14430	+	9.04781i	0.0431890	+	0.341487i
$703$	0.625395			0.0235872
$704$	−0.185690	−	0.321625i	−0.00699846	−	0.0121217i
$705$	−0.103237	−	2.46038i	−0.00388812	−	0.0926633i
$706$	8.37365	−	14.5036i	0.315146	−	0.545850i
$707$	21.6180	−	37.4435i	0.813028	−	1.40821i
$708$	14.3187	−	9.08785i	0.538128	−	0.341542i
$709$	−2.79480	−	4.84074i	−0.104961	−	0.181798i	0.808761	−	0.588137i	$-0.200138\pi$
$709$	−2.79480	−	4.84074i	−0.104961	−	0.181798i	−0.913722	+	0.406339i	$0.866805\pi$
$710$	5.32564			0.199868
$711$	7.32491	+	10.5370i	0.274706	+	0.395170i
$712$	−4.18778			−0.156944
$713$	−22.1173	−	38.3083i	−0.828300	−	1.43466i
$714$	−5.56593	−	2.90946i	−0.208300	−	0.108884i
$715$	0.687816	−	1.19133i	0.0257228	−	0.0445533i
$716$	−3.17346	+	5.49660i	−0.118598	+	0.205418i
$717$	−19.0480	−	9.95692i	−0.711362	−	0.371848i
$718$	−14.5995	−	25.2871i	−0.544849	−	0.943706i
$719$	−31.4731			−1.17375			−0.586873	−	0.809679i	$-0.699641\pi$
$719$	−31.4731			−1.17375			−0.586873	+	0.809679i	$0.699641\pi$
$720$	14.9279	−	1.25495i	0.556331	−	0.0467693i
$721$	−18.0709			−0.672996
$722$	−1.43716	−	2.48923i	−0.0534856	−	0.0926397i
$723$	−17.5048	+	11.1100i	−0.651010	+	0.413187i
$724$	0.589706	−	1.02140i	0.0219163	−	0.0379601i
$725$	−4.40874	+	7.63616i	−0.163736	+	0.283600i
$726$	−1.16071	−	27.6625i	−0.0430780	−	1.02665i
$727$	5.25014	+	9.09352i	0.194717	+	0.337260i	0.946808	−	0.321800i	$-0.104288\pi$
$727$	5.25014	+	9.09352i	0.194717	+	0.337260i	−0.752091	+	0.659060i	$0.770954\pi$
$728$	−5.92317			−0.219527
$729$	−26.1498	+	6.72203i	−0.968513	+	0.248964i
$730$	14.4893			0.536273
$731$	−0.662273	−	1.14709i	−0.0244951	−	0.0424267i
$732$	−0.392566	−	9.35580i	−0.0145097	−	0.345800i
$733$	−12.5048	+	21.6589i	−0.461875	+	0.799990i	−0.999054	−	0.0434774i	$-0.986156\pi$
$733$	−12.5048	+	21.6589i	−0.461875	+	0.799990i	0.537180	+	0.843468i	$0.319490\pi$
$734$	3.46406	−	5.99992i	0.127861	−	0.221461i
$735$	9.46058	−	6.00450i	0.348959	−	0.221479i
$736$	20.2622	+	35.0951i	0.746873	+	1.29362i
$737$	8.63545			0.318091
$738$	−43.4403	+	3.65191i	−1.59906	+	0.134429i
$739$	−3.30636			−0.121627			−0.0608133	−	0.998149i	$-0.519369\pi$
$739$	−3.30636			−0.121627			−0.0608133	+	0.998149i	$0.519369\pi$
$740$	0.0743704	+	0.128813i	0.00273391	+	0.00473527i
$741$	−6.97325	−	3.64511i	−0.256169	−	0.133906i
$742$	16.9570	−	29.3704i	0.622512	−	1.07822i
$743$	16.3227	−	28.2717i	0.598821	−	1.03719i	−0.394174	−	0.919036i	$-0.628969\pi$
$743$	16.3227	−	28.2717i	0.598821	−	1.03719i	0.992995	−	0.118153i	$-0.0376974\pi$
$744$	14.9714	+	7.82595i	0.548877	+	0.286913i
$745$	0.800693	+	1.38684i	0.0293351	+	0.0508099i
$746$	23.8527			0.873311
$747$	−0.407597	−	0.586337i	−0.0149132	−	0.0214529i
$748$	−0.836682			−0.0305921
$749$	34.9077	+	60.4618i	1.27550	+	2.20923i
$750$	2.56665	−	1.62901i	0.0937207	−	0.0594832i
$751$	−22.3958	+	38.7907i	−0.817235	+	1.41549i	0.0904766	+	0.995899i	$0.471161\pi$
$751$	−22.3958	+	38.7907i	−0.817235	+	1.41549i	−0.907712	+	0.419594i	$0.862172\pi$
$752$	−3.54978	+	6.14839i	−0.129447	+	0.224209i
$753$	1.41517	+	33.7268i	0.0515716	+	1.22907i
$754$	7.73787	+	13.4024i	0.281797	+	0.488086i
$755$	12.2265			0.444968
$756$	2.58531	+	20.4416i	0.0940270	+	0.743454i
$757$	−20.5488			−0.746859			−0.373430	−	0.927659i	$-0.621818\pi$
$757$	−20.5488			−0.746859			−0.373430	+	0.927659i	$0.621818\pi$
$758$	−13.3861	−	23.1854i	−0.486206	−	0.842133i
$759$	0.731139	+	17.4248i	0.0265386	+	0.632480i
$760$	−3.66591	+	6.34954i	−0.132976	+	0.230322i
$761$	−11.1145	+	19.2509i	−0.402900	+	0.697843i	−0.994075	−	0.108700i	$-0.965331\pi$
$761$	−11.1145	+	19.2509i	−0.402900	+	0.697843i	0.591174	+	0.806544i	$0.298664\pi$
$762$	−41.4860	+	26.3306i	−1.50288	+	0.953857i
$763$	−29.0838	−	50.3747i	−1.05291	−	1.82369i
$764$	−28.5265			−1.03205
$765$	−0.718905	+	1.52812i	−0.0259921	+	0.0552495i
$766$	−33.2489			−1.20133
$767$	4.53114	+	7.84817i	0.163610	+	0.283381i
$768$	−30.2789	−	15.8276i	−1.09260	−	0.571130i
$769$	24.5848	−	42.5821i	0.886549	−	1.53555i	0.0426218	−	0.999091i	$-0.486429\pi$
$769$	24.5848	−	42.5821i	0.886549	−	1.53555i	0.843928	−	0.536457i	$-0.180238\pi$
$770$	4.43049	−	7.67384i	0.159664	−	0.276546i
$771$	−32.7238	−	17.1056i	−1.17852	−	0.616045i
$772$	−2.71806	−	4.70782i	−0.0978251	−	0.169438i
$773$	1.74867			0.0628952			0.0314476	−	0.999505i	$-0.489988\pi$
$773$	1.74867			0.0628952			0.0314476	+	0.999505i	$0.489988\pi$
$774$	−5.27400	+	11.2106i	−0.189570	+	0.402956i
$775$	6.04332			0.217083
$776$	−9.77215	−	16.9259i	−0.350800	−	0.607603i
$777$	0.738850	−	0.468937i	0.0265061	−	0.0168230i
$778$	−15.2970	+	26.4952i	−0.548425	+	0.949900i
$779$	18.8059	−	32.5727i	0.673790	−	1.16704i
$780$	−0.0784543	−	1.86975i	−0.00280911	−	0.0669479i
$781$	−2.08707	−	3.61491i	−0.0746812	−	0.129352i
$782$	−7.23181			−0.258609
$783$	−36.4906	+	27.7060i	−1.30407	+	0.990133i
$784$	−32.3048			−1.15374
$785$	4.99219	+	8.64673i	0.178179	+	0.308615i
$786$	1.48459	+	35.3813i	0.0529535	+	1.26201i
$787$	2.70237	−	4.68063i	0.0963289	−	0.166847i	−0.813834	−	0.581098i	$-0.802623\pi$
$787$	2.70237	−	4.68063i	0.0963289	−	0.166847i	0.910162	+	0.414251i	$0.135957\pi$
$788$	12.3807	−	21.4440i	0.441044	−	0.763910i
$789$	−44.4288	+	28.1983i	−1.58171	+	1.00389i
$790$	−3.75389	−	6.50192i	−0.133557	−	0.231328i
$791$	48.6671			1.73040
$792$	−3.80173	−	5.46888i	−0.135089	−	0.194328i
$793$	5.00376			0.177689
$794$	−23.9055	−	41.4056i	−0.848376	−	1.46943i
$795$	−8.08173	−	4.22454i	−0.286629	−	0.149829i
$796$	−11.5584	+	20.0198i	−0.409678	+	0.709583i
$797$	4.04243	−	7.00169i	0.143190	−	0.248012i	−0.785506	−	0.618854i	$-0.787597\pi$
$797$	4.04243	−	7.00169i	0.143190	−	0.248012i	0.928696	+	0.370841i	$0.120931\pi$
$798$	−44.9175	−	23.4796i	−1.59006	−	0.831169i
$799$	−0.400171	−	0.693117i	−0.0141570	−	0.0245207i
$800$	−5.53642			−0.195742
$801$	−7.75702	+	0.652112i	−0.274081	+	0.0230413i
$802$	41.8270			1.47696
$803$	−5.67822	−	9.83496i	−0.200380	−	0.347068i
$804$	9.91854	−	6.29515i	0.349800	−	0.222013i
$805$	13.4317	−	23.2643i	0.473404	−	0.819960i
$806$	5.30338	−	9.18573i	0.186804	−	0.323553i
$807$	0.957074	+	22.8094i	0.0336906	+	0.802928i
$808$	9.50657	+	16.4659i	0.334440	+	0.579267i
$809$	−29.4435			−1.03518			−0.517590	−	0.855629i	$-0.673171\pi$
$809$	−29.4435			−1.03518			−0.517590	+	0.855629i	$0.673171\pi$
$810$	15.5744	−	2.63723i	0.547228	−	0.0926630i
$811$	17.1377			0.601788			0.300894	−	0.953658i	$-0.402715\pi$
$811$	17.1377			0.601788			0.300894	+	0.953658i	$0.402715\pi$
$812$	17.4821	+	30.2798i	0.613501	+	1.06261i
$813$	2.18426	+	52.0561i	0.0766052	+	1.82569i
$814$	0.166190	−	0.287849i	0.00582494	−	0.0100891i
$815$	−10.3182	+	17.8716i	−0.361431	+	0.626016i
$816$	4.11073	−	2.60902i	0.143904	−	0.0913340i
$817$	−5.34459	−	9.25711i	−0.186984	−	0.323865i
$818$	1.80977			0.0632773
$819$	−10.9715	+	0.922343i	−0.383374	+	0.0322293i
$820$	8.94539			0.312386
$821$	−12.5067	−	21.6623i	−0.436488	−	0.756020i	0.560928	−	0.827865i	$-0.310445\pi$
$821$	−12.5067	−	21.6623i	−0.436488	−	0.756020i	−0.997416	+	0.0718450i	$0.977111\pi$
$822$	−2.40755	−	1.25849i	−0.0839730	−	0.0438950i
$823$	−1.13055	+	1.95817i	−0.0394086	+	0.0682576i	−0.885057	−	0.465483i	$-0.845881\pi$
$823$	−1.13055	+	1.95817i	−0.0394086	+	0.0682576i	0.845648	+	0.533740i	$0.179214\pi$
$824$	3.97336	−	6.88207i	0.138419	−	0.239748i
$825$	−2.11158	−	1.10378i	−0.0735157	−	0.0384286i
$826$	29.1869	+	50.5532i	1.01554	+	1.75897i
$827$	16.3611			0.568930			0.284465	−	0.958686i	$-0.408184\pi$
$827$	16.3611			0.568930			0.284465	+	0.958686i	$0.408184\pi$
$828$	13.5423	+	19.4808i	0.470626	+	0.677006i
$829$	6.88002			0.238953			0.119476	−	0.992837i	$-0.461878\pi$
$829$	6.88002			0.238953			0.119476	+	0.992837i	$0.461878\pi$
$830$	0.208886	+	0.361801i	0.00725055	+	0.0125583i
$831$	−29.9885	+	19.0333i	−1.04029	+	0.660256i
$832$	0.134985	−	0.233802i	0.00467978	−	0.00810561i
$833$	1.82088	−	3.15386i	0.0630898	−	0.109275i
$834$	−0.130949	−	3.12083i	−0.00453439	−	0.108065i
$835$	−9.13643	−	15.8248i	−0.316179	−	0.547638i
$836$	−6.75209			−0.233526
$837$	28.9501	+	12.1647i	1.00066	+	0.420473i
$838$	36.6451			1.26588
$839$	−12.4262	−	21.5228i	−0.429001	−	0.743051i	0.567784	−	0.823178i	$-0.307801\pi$
$839$	−12.4262	−	21.5228i	−0.429001	−	0.743051i	−0.996785	+	0.0801265i	$0.974468\pi$
$840$	0.430096	+	10.2502i	0.0148397	+	0.353666i
$841$	−24.3739	+	42.2169i	−0.840480	+	1.45575i
$842$	33.9484	−	58.8004i	1.16994	−	2.02640i
$843$	39.7713	−	25.2423i	1.36980	−	0.869390i
$844$	14.6935	+	25.4500i	0.505772	+	0.876024i
$845$	1.00000			0.0344010
$846$	−3.18676	+	6.77387i	−0.109563	+	0.232890i
$847$	33.4256			1.14852
$848$	13.1455	+	22.7687i	0.451418	+	0.781879i
$849$	8.09497	+	4.23146i	0.277819	+	0.145223i
$850$	0.494003	−	0.855639i	0.0169442	−	0.0293482i
$851$	0.503827	−	0.872654i	0.0172710	−	0.0299142i
$852$	−5.03240	−	2.63057i	−0.172407	−	0.0901220i
$853$	−3.74350	−	6.48394i	−0.128175	−	0.222006i	0.794795	−	0.606879i	$-0.207579\pi$
$853$	−3.74350	−	6.48394i	−0.128175	−	0.222006i	−0.922970	+	0.384873i	$0.874245\pi$
$854$	32.2312			1.10293
$855$	−5.80162	+	12.3321i	−0.198411	+	0.421748i
$856$	−30.7015			−1.04935
$857$	3.27024	+	5.66422i	0.111709	+	0.193486i	0.916460	−	0.400127i	$-0.131034\pi$
$857$	3.27024	+	5.66422i	0.111709	+	0.193486i	−0.804750	+	0.593614i	$0.797701\pi$
$858$	−3.53076	+	2.24092i	−0.120538	+	0.0765038i
$859$	8.76799	−	15.1866i	0.299160	−	0.518160i	−0.676784	−	0.736182i	$-0.736627\pi$
$859$	8.76799	−	15.1866i	0.299160	−	0.518160i	0.975944	+	0.218022i	$0.0699603\pi$
$860$	1.27113	−	2.20166i	0.0433452	−	0.0750761i
$861$	−2.20636	−	52.5829i	−0.0751927	−	1.79202i
$862$	3.68774	+	6.38736i	0.125605	+	0.217554i
$863$	11.9144			0.405571			0.202786	−	0.979223i	$-0.435001\pi$
$863$	11.9144			0.405571			0.202786	+	0.979223i	$0.435001\pi$
$864$	−26.5218	−	11.1443i	−0.902290	−	0.379137i
$865$	−16.0260			−0.544901
$866$	28.7790	+	49.8466i	0.977949	+	1.69386i
$867$	−1.21140	−	28.8706i	−0.0411413	−	0.980497i
$868$	11.9819	−	20.7532i	0.406691	−	0.704410i
$869$	−2.94222	+	5.09608i	−0.0998081	+	0.172873i
$870$	22.6313	−	14.3638i	0.767274	−	0.486978i
$871$	3.13872	+	5.43643i	0.106352	+	0.184206i
$872$	25.5794			0.866227
$873$	−20.7366	−	29.8300i	−0.701827	−	1.00959i
$874$	−58.3612			−1.97410
$875$	1.83503	+	3.17836i	0.0620353	+	0.107448i
$876$	−13.6915	−	7.15692i	−0.462593	−	0.241810i
$877$	15.8329	−	27.4234i	0.534638	−	0.926021i	−0.464542	−	0.885551i	$-0.653781\pi$
$877$	15.8329	−	27.4234i	0.534638	−	0.926021i	0.999181	−	0.0404699i	$-0.0128855\pi$
$878$	−30.9154	+	53.5470i	−1.04334	+	1.80712i
$879$	−25.5039	−	13.3316i	−0.860224	−	0.449663i
$880$	3.43463	+	5.94895i	0.115781	+	0.200539i
$881$	2.16907			0.0730778			0.0365389	−	0.999332i	$-0.488367\pi$
$881$	2.16907			0.0730778			0.0365389	+	0.999332i	$0.488367\pi$
$882$	−33.9436	+	2.85355i	−1.14294	+	0.0960841i
$883$	37.5249			1.26281			0.631406	−	0.775452i	$-0.282478\pi$
$883$	37.5249			1.26281			0.631406	+	0.775452i	$0.282478\pi$
$884$	−0.304109	−	0.526731i	−0.0102283	−	0.0177159i
$885$	13.2525	−	8.41115i	0.445477	−	0.282738i
$886$	−28.0858	+	48.6461i	−0.943562	+	1.63430i
$887$	−7.53168	+	13.0453i	−0.252889	+	0.438017i	−0.964320	−	0.264739i	$-0.914714\pi$
$887$	−7.53168	+	13.0453i	−0.252889	+	0.438017i	0.711431	+	0.702756i	$0.248047\pi$
$888$	0.0161330	+	0.384489i	0.000541390	+	0.0129026i
$889$	−29.6605	−	51.3736i	−0.994782	−	1.72301i
$890$	4.55418			0.152656
$891$	−7.89354	−	9.53799i	−0.264444	−	0.319535i
$892$	23.9422			0.801646
$893$	−3.22941	−	5.59351i	−0.108068	−	0.187180i
$894$	−0.204086	−	4.86387i	−0.00682567	−	0.162672i
$895$	−2.93716	+	5.08731i	−0.0981784	+	0.170050i
$896$	21.1885	−	36.6995i	0.707857	−	1.22604i
$897$	−10.7040	+	6.79367i	−0.357396	+	0.226834i
$898$	20.1527	+	34.9055i	0.672503	+	1.16481i
$899$	53.2868			1.77721
$900$	−3.22997	+	0.271535i	−0.107666	+	0.00905116i
$901$	−2.96382			−0.0987392
$902$	−9.99476	−	17.3114i	−0.332789	−	0.576408i
$903$	−13.2554	−	6.92895i	−0.441111	−	0.230581i
$904$	−10.7007	+	18.5342i	−0.355901	+	0.616439i
$905$	0.545795	−	0.945345i	0.0181428	−	0.0314243i
$906$	−32.9393	−	17.2183i	−1.09434	−	0.572039i
$907$	28.4272	+	49.2374i	0.943910	+	1.63490i	0.757918	+	0.652349i	$0.226216\pi$
$907$	28.4272	+	49.2374i	0.943910	+	1.63490i	0.185992	+	0.982551i	$0.440450\pi$
$908$	−10.4547			−0.346952
$909$	20.1730	+	29.0193i	0.669097	+	0.962510i
$910$	6.44140			0.213530
$911$	4.43508	+	7.68179i	0.146941	+	0.254509i	0.930095	−	0.367318i	$-0.119724\pi$
$911$	4.43508	+	7.68179i	0.146941	+	0.254509i	−0.783155	+	0.621827i	$0.786391\pi$
$912$	33.1739	−	21.0550i	1.09850	−	0.697201i
$913$	0.163721	−	0.283573i	0.00541837	−	0.00938490i
$914$	−29.9843	+	51.9343i	−0.991792	+	1.71783i
$915$	−0.363335	−	8.65915i	−0.0120115	−	0.286263i
$916$	2.09251	+	3.62433i	0.0691384	+	0.119751i
$917$	−42.7524			−1.41181
$918$	4.08881	−	3.10449i	0.134951	−	0.102463i
$919$	−33.3934			−1.10155			−0.550774	−	0.834655i	$-0.685667\pi$
$919$	−33.3934			−1.10155			−0.550774	+	0.834655i	$0.685667\pi$
$920$	5.90661	+	10.2305i	0.194735	+	0.337291i
$921$	−1.03304	−	24.6197i	−0.0340397	−	0.811248i
$922$	15.9921	−	27.6992i	0.526673	−	0.912225i
$923$	1.51717	−	2.62782i	0.0499383	−	0.0864957i
$924$	−7.97700	+	5.06289i	−0.262424	+	0.166557i
$925$	0.0688326	+	0.119222i	0.00226320	+	0.00391998i
$926$	71.7026			2.35629
$927$	6.28819	−	13.3664i	0.206531	−	0.439009i
$928$	−48.8172			−1.60250
$929$	−9.56175	−	16.5614i	−0.313711	−	0.543363i	0.665452	−	0.746441i	$-0.268239\pi$
$929$	−9.56175	−	16.5614i	−0.313711	−	0.543363i	−0.979163	+	0.203078i	$0.934906\pi$
$930$	−16.2813	−	8.51065i	−0.533883	−	0.279075i
$931$	14.6947	−	25.4519i	0.481598	−	0.834152i
$932$	−5.35372	+	9.27292i	−0.175367	+	0.303745i
$933$	16.1658	+	8.45030i	0.529244	+	0.276650i
$934$	34.6912	+	60.0869i	1.13513	+	1.96610i
$935$	−0.774381			−0.0253250
$936$	2.06110	−	4.38114i	0.0673693	−	0.143202i
$937$	−30.5662			−0.998554			−0.499277	−	0.866442i	$-0.666401\pi$
$937$	−30.5662			−0.998554			−0.499277	+	0.866442i	$0.666401\pi$
$938$	20.2178	+	35.0182i	0.660134	+	1.14338i
$939$	7.46782	−	4.73972i	0.243703	−	0.154675i
$940$	0.768067	−	1.33033i	0.0250516	−	0.0433906i
$941$	−2.52432	+	4.37225i	−0.0822904	+	0.142531i	−0.904233	−	0.427039i	$-0.859557\pi$
$941$	−2.52432	+	4.37225i	−0.0822904	+	0.142531i	0.821943	+	0.569570i	$0.192890\pi$
$942$	−1.27245	−	30.3254i	−0.0414585	−	0.988056i
$943$	−30.3005	−	52.4820i	−0.986721	−	1.70905i
$944$	−45.2528			−1.47285
$945$	2.39281	+	18.9195i	0.0778380	+	0.615450i
$946$	−5.68099			−0.184705
$947$	8.34148	+	14.4479i	0.271062	+	0.469493i	0.969134	−	0.246535i	$-0.0792919\pi$
$947$	8.34148	+	14.4479i	0.271062	+	0.469493i	−0.698072	+	0.716027i	$0.745959\pi$
$948$	0.335599	+	7.99813i	0.0108997	+	0.259767i
$949$	4.12772	−	7.14942i	0.133991	−	0.232080i
$950$	3.98665	−	6.90507i	0.129344	−	0.224030i
$951$	−33.1805	+	21.0592i	−1.07595	+	0.682891i
$952$	1.66716	+	2.88760i	0.0540329	+	0.0935877i
$953$	−9.68585			−0.313755			−0.156878	−	0.987618i	$-0.550143\pi$
$953$	−9.68585			−0.313755			−0.156878	+	0.987618i	$0.550143\pi$
$954$	15.8236	+	22.7626i	0.512308	+	0.736966i
$955$	−26.4024			−0.854361
$956$	−6.70380	−	11.6113i	−0.216816	−	0.375537i
$957$	−18.6188	−	9.73254i	−0.601859	−	0.314608i
$958$	28.0636	−	48.6076i	0.906694	−	1.57044i
$959$	1.63986	−	2.84032i	0.0529538	−	0.0917186i
$960$	−0.414402	−	0.216619i	−0.0133748	−	0.00699135i
$961$	−2.76087	−	4.78196i	−0.0890602	−	0.154257i
$962$	0.241619			0.00779012
$963$	−56.8682	+	4.78076i	−1.83255	+	0.154058i
$964$	−12.9331			−0.416548
$965$	−2.51567	−	4.35726i	−0.0809822	−	0.140265i
$966$	−68.9487	+	43.7607i	−2.21839	+	1.40798i
$967$	−6.97281	+	12.0773i	−0.224231	+	0.388379i	−0.956088	−	0.293079i	$-0.905320\pi$
$967$	−6.97281	+	12.0773i	−0.224231	+	0.388379i	0.731858	+	0.681457i	$0.238654\pi$
$968$	−7.34949	+	12.7297i	−0.236221	+	0.409148i
$969$	0.185692	+	4.42549i	0.00596530	+	0.142167i
$970$	10.6271	+	18.4067i	0.341217	+	0.591005i
$971$	41.3208			1.32605			0.663024	−	0.748598i	$-0.269273\pi$
$971$	41.3208			1.32605			0.663024	+	0.748598i	$0.269273\pi$
$972$	−16.0195	−	5.20087i	−0.513825	−	0.166818i
$973$	3.77100			0.120893
$974$	32.4178	+	56.1493i	1.03873	+	1.79914i
$975$	−0.0726124	−	1.73053i	−0.00232546	−	0.0554213i
$976$	−12.4932	+	21.6389i	−0.399898	+	0.692643i
$977$	−7.44850	+	12.9012i	−0.238299	+	0.412745i	−0.960226	−	0.279223i	$-0.909923\pi$
$977$	−7.44850	+	12.9012i	−0.238299	+	0.412745i	0.721928	+	0.691969i	$0.243256\pi$
$978$	52.9663	−	33.6169i	1.69368	−	1.07495i
$979$	−1.78474	−	3.09126i	−0.0570405	−	0.0987971i
$980$	6.98981			0.223281
$981$	47.3806	−	3.98317i	1.51275	−	0.127173i
$982$	−69.9323			−2.23163
$983$	−8.71194	−	15.0895i	−0.277868	−	0.481281i	0.692987	−	0.720950i	$-0.256294\pi$
$983$	−8.71194	−	15.0895i	−0.277868	−	0.481281i	−0.970855	+	0.239669i	$0.922961\pi$
$984$	20.5106	+	10.7215i	0.653855	+	0.341788i
$985$	11.4588	−	19.8472i	0.365108	−	0.632385i
$986$	4.35586	−	7.54457i	0.138719	−	0.240268i
$987$	−8.00942	−	4.18674i	−0.254943	−	0.133266i
$988$	−2.45418	−	4.25076i	−0.0780778	−	0.135235i
$989$	−17.2227			−0.547650
$990$	4.13435	+	5.94736i	0.131398	+	0.189019i
$991$	−43.3691			−1.37766			−0.688832	−	0.724921i	$-0.741876\pi$
$991$	−43.3691			−1.37766			−0.688832	+	0.724921i	$0.741876\pi$
$992$	16.7292	+	28.9758i	0.531152	+	0.919982i
$993$	27.5160	−	17.4640i	0.873193	−	0.554203i
$994$	9.77271	−	16.9268i	0.309972	−	0.536886i
$995$	−10.6978	+	18.5291i	−0.339142	+	0.587411i
$996$	−0.0186745	−	0.445058i	−0.000591724	−	0.0141022i
$997$	15.2804	+	26.4665i	0.483937	+	0.838203i	0.999830	−	0.0184502i	$-0.00587322\pi$
$997$	15.2804	+	26.4665i	0.483937	+	0.838203i	−0.515893	+	0.856653i	$0.672540\pi$
$998$	28.6055			0.905491
$999$	0.0897550	+	0.709676i	0.00283972	+	0.0224532i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	585.2.i.g.391.3	yes	26
3.2	odd	2		1755.2.i.g.1171.11		26
9.2	odd	6		1755.2.i.g.586.11		26
9.4	even	3		5265.2.a.bg.1.11		13
9.5	odd	6		5265.2.a.bh.1.3		13
9.7	even	3	inner	585.2.i.g.196.3	✓	26

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
585.2.i.g.196.3	✓	26	9.7	even	3	inner
585.2.i.g.391.3	yes	26	1.1	even	1	trivial
1755.2.i.g.586.11		26	9.2	odd	6
1755.2.i.g.1171.11		26	3.2	odd	2
5265.2.a.bg.1.11		13	9.4	even	3
5265.2.a.bh.1.3		13	9.5	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:	\( N \)	\(=\)	\( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	585.i (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.877561 - 1.51998i) q^{2} +(0.0726124 + 1.73053i) q^{3} +(-0.540227 + 0.935700i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(2.56665 - 1.62901i) q^{6} +(1.83503 + 3.17836i) q^{7} -1.61392 q^{8} +(-2.98945 + 0.251316i) q^{9} +O(q^{10})\)	\(q+(-0.877561 - 1.51998i) q^{2} +(0.0726124 + 1.73053i) q^{3} +(-0.540227 + 0.935700i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(2.56665 - 1.62901i) q^{6} +(1.83503 + 3.17836i) q^{7} -1.61392 q^{8} +(-2.98945 + 0.251316i) q^{9} +1.75512 q^{10} +(-0.687816 - 1.19133i) q^{11} +(-1.65848 - 0.866934i) q^{12} +(0.500000 - 0.866025i) q^{13} +(3.22070 - 5.57842i) q^{14} +(-1.53499 - 0.802380i) q^{15} +(2.49676 + 4.32452i) q^{16} -0.562928 q^{17} +(3.00542 + 4.32337i) q^{18} -4.54287 q^{19} +(-0.540227 - 0.935700i) q^{20} +(-5.36700 + 3.40636i) q^{21} +(-1.20720 + 2.09093i) q^{22} +(-3.65980 + 6.33895i) q^{23} +(-0.117190 - 2.79293i) q^{24} +(-0.500000 - 0.866025i) q^{25} -1.75512 q^{26} +(-0.651980 - 5.15509i) q^{27} -3.96533 q^{28} +(-4.40874 - 7.63616i) q^{29} +(0.127444 + 3.03729i) q^{30} +(-3.02166 + 5.23367i) q^{31} +(2.76821 - 4.79468i) q^{32} +(2.01169 - 1.27679i) q^{33} +(0.494003 + 0.855639i) q^{34} -3.67006 q^{35} +(1.37983 - 2.93300i) q^{36} -0.137665 q^{37} +(3.98665 + 6.90507i) q^{38} +(1.53499 + 0.802380i) q^{39} +(0.806959 - 1.39769i) q^{40} +(-4.13965 + 7.17008i) q^{41} +(9.88747 + 5.16845i) q^{42} +(1.17648 + 2.03772i) q^{43} +1.48630 q^{44} +(1.27708 - 2.71460i) q^{45} +12.8468 q^{46} +(0.710875 + 1.23127i) q^{47} +(-7.30241 + 4.63473i) q^{48} +(-3.23466 + 5.60260i) q^{49} +(-0.877561 + 1.51998i) q^{50} +(-0.0408755 - 0.974162i) q^{51} +(0.540227 + 0.935700i) q^{52} +5.26501 q^{53} +(-7.26348 + 5.51490i) q^{54} +1.37563 q^{55} +(-2.96158 - 5.12962i) q^{56} +(-0.329869 - 7.86157i) q^{57} +(-7.73787 + 13.4024i) q^{58} +(-4.53114 + 7.84817i) q^{59} +(1.58003 - 1.00282i) q^{60} +(2.50188 + 4.33338i) q^{61} +10.6068 q^{62} +(-6.28451 - 9.04040i) q^{63} +0.269971 q^{64} +(0.500000 + 0.866025i) q^{65} +(-3.70607 - 1.93727i) q^{66} +(-3.13872 + 5.43643i) q^{67} +(0.304109 - 0.526731i) q^{68} +(-11.2355 - 5.87309i) q^{69} +(3.22070 + 5.57842i) q^{70} +3.03434 q^{71} +(4.82473 - 0.405603i) q^{72} +8.25544 q^{73} +(0.120810 + 0.209248i) q^{74} +(1.46238 - 0.928148i) q^{75} +(2.45418 - 4.25076i) q^{76} +(2.52432 - 4.37226i) q^{77} +(-0.127444 - 3.03729i) q^{78} +(-2.13882 - 3.70454i) q^{79} -4.99353 q^{80} +(8.87368 - 1.50259i) q^{81} +14.5312 q^{82} +(0.119015 + 0.206140i) q^{83} +(-0.287932 - 6.86211i) q^{84} +(0.281464 - 0.487510i) q^{85} +(2.06487 - 3.57645i) q^{86} +(12.8945 - 8.18392i) q^{87} +(1.11008 + 1.92271i) q^{88} +2.59479 q^{89} +(-5.24686 + 0.441090i) q^{90} +3.67006 q^{91} +(-3.95424 - 6.84894i) q^{92} +(-9.27642 - 4.84904i) q^{93} +(1.24767 - 2.16103i) q^{94} +(2.27144 - 3.93424i) q^{95} +(8.49833 + 4.44231i) q^{96} +(6.05493 + 10.4874i) q^{97} +11.3545 q^{98} +(2.35559 + 3.38857i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 26 q + q^{2} + q^{3} - 15 q^{4} - 13 q^{5} + 7 q^{6} - 10 q^{7} - 12 q^{8} + 7 q^{9}+O(q^{10}) \) 26 * q + q^2 + q^3 - 15 * q^4 - 13 * q^5 + 7 * q^6 - 10 * q^7 - 12 * q^8 + 7 * q^9	\( 26 q + q^{2} + q^{3} - 15 q^{4} - 13 q^{5} + 7 q^{6} - 10 q^{7} - 12 q^{8} + 7 q^{9} - 2 q^{10} - 11 q^{11} - 20 q^{12} + 13 q^{13} - 15 q^{14} - 2 q^{15} - 19 q^{16} + 6 q^{17} - 13 q^{18} + 30 q^{19} - 15 q^{20} - q^{21} - 12 q^{22} - 6 q^{23} + 20 q^{24} - 13 q^{25} + 2 q^{26} - 2 q^{27} + 10 q^{28} - 14 q^{29} - 2 q^{30} - 30 q^{31} + 43 q^{32} + 6 q^{33} - 19 q^{34} + 20 q^{35} - 39 q^{36} + 32 q^{37} + 2 q^{38} + 2 q^{39} + 6 q^{40} - 17 q^{41} + 83 q^{42} - 6 q^{43} + 46 q^{44} - 5 q^{45} + 46 q^{46} + 21 q^{47} - 7 q^{48} - 29 q^{49} + q^{50} + 55 q^{51} + 15 q^{52} + 2 q^{53} - 6 q^{54} + 22 q^{55} - 37 q^{56} + 33 q^{57} - 14 q^{58} - 13 q^{59} + 25 q^{60} - 22 q^{61} - 114 q^{62} - 44 q^{63} + 84 q^{64} + 13 q^{65} - 68 q^{66} - 35 q^{67} + 4 q^{68} - 38 q^{69} - 15 q^{70} + 24 q^{71} - 24 q^{72} + 64 q^{73} + 28 q^{74} + q^{75} - 54 q^{76} - 4 q^{77} + 2 q^{78} - 12 q^{79} + 38 q^{80} + 15 q^{81} + 46 q^{82} + 3 q^{83} + 27 q^{84} - 3 q^{85} + 40 q^{86} - 12 q^{87} - 29 q^{88} + 12 q^{89} - 10 q^{90} - 20 q^{91} + 16 q^{92} - 9 q^{93} - 44 q^{94} - 15 q^{95} + 51 q^{96} - 33 q^{97} + 70 q^{98} - 22 q^{99}+O(q^{100}) \) 26 * q + q^2 + q^3 - 15 * q^4 - 13 * q^5 + 7 * q^6 - 10 * q^7 - 12 * q^8 + 7 * q^9 - 2 * q^10 - 11 * q^11 - 20 * q^12 + 13 * q^13 - 15 * q^14 - 2 * q^15 - 19 * q^16 + 6 * q^17 - 13 * q^18 + 30 * q^19 - 15 * q^20 - q^21 - 12 * q^22 - 6 * q^23 + 20 * q^24 - 13 * q^25 + 2 * q^26 - 2 * q^27 + 10 * q^28 - 14 * q^29 - 2 * q^30 - 30 * q^31 + 43 * q^32 + 6 * q^33 - 19 * q^34 + 20 * q^35 - 39 * q^36 + 32 * q^37 + 2 * q^38 + 2 * q^39 + 6 * q^40 - 17 * q^41 + 83 * q^42 - 6 * q^43 + 46 * q^44 - 5 * q^45 + 46 * q^46 + 21 * q^47 - 7 * q^48 - 29 * q^49 + q^50 + 55 * q^51 + 15 * q^52 + 2 * q^53 - 6 * q^54 + 22 * q^55 - 37 * q^56 + 33 * q^57 - 14 * q^58 - 13 * q^59 + 25 * q^60 - 22 * q^61 - 114 * q^62 - 44 * q^63 + 84 * q^64 + 13 * q^65 - 68 * q^66 - 35 * q^67 + 4 * q^68 - 38 * q^69 - 15 * q^70 + 24 * q^71 - 24 * q^72 + 64 * q^73 + 28 * q^74 + q^75 - 54 * q^76 - 4 * q^77 + 2 * q^78 - 12 * q^79 + 38 * q^80 + 15 * q^81 + 46 * q^82 + 3 * q^83 + 27 * q^84 - 3 * q^85 + 40 * q^86 - 12 * q^87 - 29 * q^88 + 12 * q^89 - 10 * q^90 - 20 * q^91 + 16 * q^92 - 9 * q^93 - 44 * q^94 - 15 * q^95 + 51 * q^96 - 33 * q^97 + 70 * q^98 - 22 * q^99

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