LMFDB - Embedded newform 603.2.e.b.202.4

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			202.4
Character	$\chi$	$=$	603.202
Dual form			603.2.e.b.403.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.10303 - 1.91051i) q^{2} +(0.736253 - 1.56778i) q^{3} +(-1.43335 + 2.48264i) q^{4} +(-0.220187 + 0.381374i) q^{5} +(-3.80736 + 0.322692i) q^{6} +(0.740949 + 1.28336i) q^{7} +1.91201 q^{8} +(-1.91586 - 2.30857i) q^{9} +O(q^{10})$	\(q+(-1.10303 - 1.91051i) q^{2} +(0.736253 - 1.56778i) q^{3} +(-1.43335 + 2.48264i) q^{4} +(-0.220187 + 0.381374i) q^{5} +(-3.80736 + 0.322692i) q^{6} +(0.740949 + 1.28336i) q^{7} +1.91201 q^{8} +(-1.91586 - 2.30857i) q^{9} +0.971490 q^{10} +(-2.25840 - 3.91167i) q^{11} +(2.83692 + 4.07504i) q^{12} +(2.69293 - 4.66429i) q^{13} +(1.63458 - 2.83117i) q^{14} +(0.435798 + 0.625992i) q^{15} +(0.757701 + 1.31238i) q^{16} -4.70660 q^{17} +(-2.29727 + 6.20668i) q^{18} -6.61366 q^{19} +(-0.631211 - 1.09329i) q^{20} +(2.55755 - 0.216765i) q^{21} +(-4.98218 + 8.62938i) q^{22} +(-1.93511 + 3.35171i) q^{23} +(1.40772 - 2.99761i) q^{24} +(2.40304 + 4.16218i) q^{25} -11.8815 q^{26} +(-5.02988 + 1.30396i) q^{27} -4.24817 q^{28} +(0.100971 + 0.174887i) q^{29} +(0.715263 - 1.52308i) q^{30} +(0.788920 - 1.36645i) q^{31} +(3.58355 - 6.20688i) q^{32} +(-7.79539 + 0.660697i) q^{33} +(5.19152 + 8.99198i) q^{34} -0.652588 q^{35} +(8.47745 - 1.44741i) q^{36} -2.95141 q^{37} +(7.29507 + 12.6354i) q^{38} +(-5.32990 - 7.65602i) q^{39} +(-0.420999 + 0.729192i) q^{40} +(-0.580774 + 1.00593i) q^{41} +(-3.23519 - 4.64712i) q^{42} +(3.87094 + 6.70467i) q^{43} +12.9484 q^{44} +(1.30227 - 0.222345i) q^{45} +8.53795 q^{46} +(-5.91873 - 10.2515i) q^{47} +(2.61538 - 0.221666i) q^{48} +(2.40199 - 4.16037i) q^{49} +(5.30124 - 9.18203i) q^{50} +(-3.46525 + 7.37891i) q^{51} +(7.71984 + 13.3712i) q^{52} +4.35062 q^{53} +(8.03933 + 8.17131i) q^{54} +1.98908 q^{55} +(1.41670 + 2.45380i) q^{56} +(-4.86933 + 10.3688i) q^{57} +(0.222749 - 0.385812i) q^{58} +(4.24726 - 7.35647i) q^{59} +(-2.17877 + 0.184661i) q^{60} +(-5.82302 - 10.0858i) q^{61} -3.48081 q^{62} +(1.54317 - 4.16927i) q^{63} -12.7802 q^{64} +(1.18589 + 2.05403i) q^{65} +(9.86082 + 14.1644i) q^{66} +(0.500000 - 0.866025i) q^{67} +(6.74622 - 11.6848i) q^{68} +(3.83001 + 5.50154i) q^{69} +(0.719824 + 1.24677i) q^{70} +0.850430 q^{71} +(-3.66315 - 4.41400i) q^{72} -13.2644 q^{73} +(3.25550 + 5.63869i) q^{74} +(8.29462 - 0.703009i) q^{75} +(9.47971 - 16.4193i) q^{76} +(3.34672 - 5.79669i) q^{77} +(-8.74782 + 18.6276i) q^{78} +(5.42974 + 9.40459i) q^{79} -0.667342 q^{80} +(-1.65895 + 8.84578i) q^{81} +2.56245 q^{82} +(5.39390 + 9.34250i) q^{83} +(-3.12773 + 6.66019i) q^{84} +(1.03633 - 1.79498i) q^{85} +(8.53954 - 14.7909i) q^{86} +(0.348525 - 0.0295392i) q^{87} +(-4.31809 - 7.47915i) q^{88} +9.51138 q^{89} +(-1.86124 - 2.24275i) q^{90} +7.98129 q^{91} +(-5.54740 - 9.60838i) q^{92} +(-1.56145 - 2.24290i) q^{93} +(-13.0571 + 22.6155i) q^{94} +(1.45624 - 2.52228i) q^{95} +(-7.09262 - 10.1880i) q^{96} +(-7.74462 - 13.4141i) q^{97} -10.5979 q^{98} +(-4.70355 + 12.7079i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 66 q + 7 q^{2} - 33 q^{4} + 18 q^{5} - 3 q^{6} - 48 q^{8} + 4 q^{9}+O(q^{10}) $ 66 * q + 7 * q^2 - 33 * q^4 + 18 * q^5 - 3 * q^6 - 48 * q^8 + 4 * q^9	\( 66 q + 7 q^{2} - 33 q^{4} + 18 q^{5} - 3 q^{6} - 48 q^{8} + 4 q^{9} + 12 q^{11} + q^{12} + 9 q^{14} + 3 q^{15} - 33 q^{16} - 62 q^{17} + 7 q^{18} + 43 q^{20} + 17 q^{21} + 19 q^{23} - 17 q^{24} - 33 q^{25} - 28 q^{26} - 3 q^{27} + 54 q^{28} + 25 q^{29} + 24 q^{30} + 45 q^{32} - 32 q^{33} - 6 q^{34} - 50 q^{35} + 53 q^{36} - 24 q^{37} + 34 q^{38} + 19 q^{39} - 6 q^{40} + 34 q^{41} - 107 q^{42} - 98 q^{44} + 9 q^{45} + 12 q^{46} + 26 q^{47} + 49 q^{48} - 33 q^{49} + 39 q^{50} - 50 q^{51} + 9 q^{52} - 104 q^{53} + 70 q^{54} + 60 q^{55} + 16 q^{56} + 6 q^{57} + 3 q^{58} + 21 q^{59} - 161 q^{60} - 54 q^{62} + q^{63} - 12 q^{64} + 52 q^{65} + 52 q^{66} + 33 q^{67} + 98 q^{68} + 2 q^{69} - 6 q^{70} - 62 q^{71} + 66 q^{72} + 27 q^{74} + 21 q^{75} - 6 q^{76} + 85 q^{77} - 107 q^{78} - 172 q^{80} + 72 q^{81} + 102 q^{82} + 71 q^{83} - 54 q^{84} - 27 q^{85} + 9 q^{86} + 3 q^{87} - 12 q^{88} - 82 q^{89} + 153 q^{90} - 60 q^{91} + 67 q^{92} - 47 q^{93} + 15 q^{94} + 58 q^{95} - 136 q^{96} - 12 q^{97} - 172 q^{98} + 96 q^{99}+O(q^{100}) \) 66 * q + 7 * q^2 - 33 * q^4 + 18 * q^5 - 3 * q^6 - 48 * q^8 + 4 * q^9 + 12 * q^11 + q^12 + 9 * q^14 + 3 * q^15 - 33 * q^16 - 62 * q^17 + 7 * q^18 + 43 * q^20 + 17 * q^21 + 19 * q^23 - 17 * q^24 - 33 * q^25 - 28 * q^26 - 3 * q^27 + 54 * q^28 + 25 * q^29 + 24 * q^30 + 45 * q^32 - 32 * q^33 - 6 * q^34 - 50 * q^35 + 53 * q^36 - 24 * q^37 + 34 * q^38 + 19 * q^39 - 6 * q^40 + 34 * q^41 - 107 * q^42 - 98 * q^44 + 9 * q^45 + 12 * q^46 + 26 * q^47 + 49 * q^48 - 33 * q^49 + 39 * q^50 - 50 * q^51 + 9 * q^52 - 104 * q^53 + 70 * q^54 + 60 * q^55 + 16 * q^56 + 6 * q^57 + 3 * q^58 + 21 * q^59 - 161 * q^60 - 54 * q^62 + q^63 - 12 * q^64 + 52 * q^65 + 52 * q^66 + 33 * q^67 + 98 * q^68 + 2 * q^69 - 6 * q^70 - 62 * q^71 + 66 * q^72 + 27 * q^74 + 21 * q^75 - 6 * q^76 + 85 * q^77 - 107 * q^78 - 172 * q^80 + 72 * q^81 + 102 * q^82 + 71 * q^83 - 54 * q^84 - 27 * q^85 + 9 * q^86 + 3 * q^87 - 12 * q^88 - 82 * q^89 + 153 * q^90 - 60 * q^91 + 67 * q^92 - 47 * q^93 + 15 * q^94 + 58 * q^95 - 136 * q^96 - 12 * q^97 - 172 * q^98 + 96 * 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 $

$2$	−1.10303	−	1.91051i	−0.779961	−	1.35093i	−0.931964	−	0.362551i	$-0.881906\pi$
$2$	−1.10303	−	1.91051i	−0.779961	−	1.35093i	0.152003	−	0.988380i	$-0.451428\pi$
$3$	0.736253	−	1.56778i	0.425076	−	0.905158i
$3$	0.736253	−	1.56778i	0.425076	−	0.905158i
$4$	−1.43335	+	2.48264i	−0.716677	+	1.24132i
$5$	−0.220187	+	0.381374i	−0.0984704	+	0.170556i	−0.911052	−	0.412292i	$-0.864728\pi$
$5$	−0.220187	+	0.381374i	−0.0984704	+	0.170556i	0.812581	+	0.582848i	$0.198062\pi$
$6$	−3.80736	+	0.322692i	−1.55435	+	0.131739i
$7$	0.740949	+	1.28336i	0.280052	+	0.485065i	0.971397	−	0.237460i	$-0.0763149\pi$
$7$	0.740949	+	1.28336i	0.280052	+	0.485065i	−0.691345	+	0.722525i	$0.742982\pi$
$8$	1.91201			0.675998
$9$	−1.91586	−	2.30857i	−0.638621	−	0.769522i
$10$	0.971490			0.307212
$11$	−2.25840	−	3.91167i	−0.680934	−	1.17941i	−0.974696	−	0.223534i	$-0.928241\pi$
$11$	−2.25840	−	3.91167i	−0.680934	−	1.17941i	0.293762	−	0.955879i	$-0.405093\pi$
$12$	2.83692	+	4.07504i	0.818949	+	1.17636i
$13$	2.69293	−	4.66429i	0.746884	−	1.29364i	−0.202425	−	0.979298i	$-0.564882\pi$
$13$	2.69293	−	4.66429i	0.746884	−	1.29364i	0.949309	−	0.314344i	$-0.101784\pi$
$14$	1.63458	−	2.83117i	0.436859	−	0.756663i
$15$	0.435798	+	0.625992i	0.112522	+	0.161630i
$16$	0.757701	+	1.31238i	0.189425	+	0.328094i
$17$	−4.70660			−1.14152			−0.570759	−	0.821118i	$-0.693351\pi$
$17$	−4.70660			−1.14152			−0.570759	+	0.821118i	$0.693351\pi$
$18$	−2.29727	+	6.20668i	−0.541472	+	1.46293i
$19$	−6.61366			−1.51728			−0.758639	−	0.651512i	$-0.774135\pi$
$19$	−6.61366			−1.51728			−0.758639	+	0.651512i	$0.774135\pi$
$20$	−0.631211	−	1.09329i	−0.141143	−	0.244467i
$21$	2.55755	−	0.216765i	0.558103	−	0.0473020i
$22$	−4.98218	+	8.62938i	−1.06220	+	1.83979i
$23$	−1.93511	+	3.35171i	−0.403499	+	0.698880i	−0.994145	−	0.108050i	$-0.965539\pi$
$23$	−1.93511	+	3.35171i	−0.403499	+	0.698880i	0.590647	+	0.806930i	$0.298873\pi$
$24$	1.40772	−	2.99761i	0.287351	−	0.611885i
$25$	2.40304	+	4.16218i	0.480607	+	0.832436i
$26$	−11.8815			−2.33016
$27$	−5.02988	+	1.30396i	−0.968001	+	0.250947i
$28$	−4.24817			−0.802828
$29$	0.100971	+	0.174887i	0.0187499	+	0.0324758i	0.875248	−	0.483674i	$-0.160698\pi$
$29$	0.100971	+	0.174887i	0.0187499	+	0.0324758i	−0.856498	+	0.516150i	$0.827365\pi$
$30$	0.715263	−	1.52308i	0.130589	−	0.278075i
$31$	0.788920	−	1.36645i	0.141694	−	0.245421i	−0.786441	−	0.617666i	$-0.788078\pi$
$31$	0.788920	−	1.36645i	0.141694	−	0.245421i	0.928135	+	0.372245i	$0.121412\pi$
$32$	3.58355	−	6.20688i	0.633487	−	1.09723i
$33$	−7.79539	+	0.660697i	−1.35700	+	0.115013i
$34$	5.19152	+	8.99198i	0.890339	+	1.54211i
$35$	−0.652588			−0.110307
$36$	8.47745	−	1.44741i	1.41291	−	0.241234i
$37$	−2.95141			−0.485209			−0.242605	−	0.970125i	$-0.578002\pi$
$37$	−2.95141			−0.485209			−0.242605	+	0.970125i	$0.578002\pi$
$38$	7.29507	+	12.6354i	1.18342	+	2.04974i
$39$	−5.32990	−	7.65602i	−0.853467	−	1.22594i
$40$	−0.420999	+	0.729192i	−0.0665658	+	0.115295i
$41$	−0.580774	+	1.00593i	−0.0907016	+	0.157100i	−0.907807	−	0.419389i	$-0.862244\pi$
$41$	−0.580774	+	1.00593i	−0.0907016	+	0.157100i	0.817105	+	0.576489i	$0.195578\pi$
$42$	−3.23519	−	4.64712i	−0.499200	−	0.717066i
$43$	3.87094	+	6.70467i	0.590313	+	1.02245i	0.994190	+	0.107639i	$0.0343290\pi$
$43$	3.87094	+	6.70467i	0.590313	+	1.02245i	−0.403877	+	0.914813i	$0.632338\pi$
$44$	12.9484			1.95204
$45$	1.30227	−	0.222345i	0.194132	−	0.0331453i
$46$	8.53795			1.25885
$47$	−5.91873	−	10.2515i	−0.863335	−	1.49534i	−0.868691	−	0.495354i	$-0.835038\pi$
$47$	−5.91873	−	10.2515i	−0.863335	−	1.49534i	0.00535606	−	0.999986i	$-0.498295\pi$
$48$	2.61538	−	0.221666i	0.377497	−	0.0319947i
$49$	2.40199	−	4.16037i	0.343142	−	0.594339i
$50$	5.30124	−	9.18203i	0.749709	−	1.29853i
$51$	−3.46525	+	7.37891i	−0.485232	+	1.03325i
$52$	7.71984	+	13.3712i	1.07055	+	1.85425i
$53$	4.35062			0.597604			0.298802	−	0.954315i	$-0.403413\pi$
$53$	4.35062			0.597604			0.298802	+	0.954315i	$0.403413\pi$
$54$	8.03933	+	8.17131i	1.09401	+	1.11197i
$55$	1.98908			0.268207
$56$	1.41670	+	2.45380i	0.189315	+	0.327903i
$57$	−4.86933	+	10.3688i	−0.644958	+	1.37337i
$58$	0.222749	−	0.385812i	0.0292483	−	0.0506596i
$59$	4.24726	−	7.35647i	0.552946	−	0.957731i	−0.445114	−	0.895474i	$-0.646837\pi$
$59$	4.24726	−	7.35647i	0.552946	−	0.957731i	0.998060	−	0.0622570i	$-0.0198298\pi$
$60$	−2.17877	+	0.184661i	−0.281278	+	0.0238396i
$61$	−5.82302	−	10.0858i	−0.745561	−	1.29135i	−0.949932	−	0.312456i	$-0.898848\pi$
$61$	−5.82302	−	10.0858i	−0.745561	−	1.29135i	0.204371	−	0.978893i	$-0.434485\pi$
$62$	−3.48081			−0.442063
$63$	1.54317	−	4.16927i	0.194421	−	0.525279i
$64$	−12.7802			−1.59753
$65$	1.18589	+	2.05403i	0.147092	+	0.254771i
$66$	9.86082	+	14.1644i	1.21378	+	1.74351i
$67$	0.500000	−	0.866025i	0.0610847	−	0.105802i
$67$	0.500000	−	0.866025i	0.0610847	−	0.105802i
$68$	6.74622	−	11.6848i	0.818099	−	1.41699i
$69$	3.83001	+	5.50154i	0.461079	+	0.662307i
$70$	0.719824	+	1.24677i	0.0860355	+	0.149018i
$71$	0.850430			0.100927			0.0504637	−	0.998726i	$-0.483930\pi$
$71$	0.850430			0.100927			0.0504637	+	0.998726i	$0.483930\pi$
$72$	−3.66315	−	4.41400i	−0.431706	−	0.520195i
$73$	−13.2644			−1.55248			−0.776242	−	0.630435i	$-0.782877\pi$
$73$	−13.2644			−1.55248			−0.776242	+	0.630435i	$0.782877\pi$
$74$	3.25550	+	5.63869i	0.378444	+	0.655484i
$75$	8.29462	−	0.703009i	0.957780	−	0.0811765i
$76$	9.47971	−	16.4193i	1.08740	−	1.88343i
$77$	3.34672	−	5.79669i	0.381394	−	0.660594i
$78$	−8.74782	+	18.6276i	−0.990496	+	2.10916i
$79$	5.42974	+	9.40459i	0.610894	+	1.05810i	0.991090	+	0.133193i	$0.0425231\pi$
$79$	5.42974	+	9.40459i	0.610894	+	1.05810i	−0.380196	+	0.924906i	$0.624144\pi$
$80$	−0.667342			−0.0746111
$81$	−1.65895	+	8.84578i	−0.184328	+	0.982865i
$82$	2.56245			0.282975
$83$	5.39390	+	9.34250i	0.592057	+	1.02547i	0.993955	+	0.109789i	$0.0350174\pi$
$83$	5.39390	+	9.34250i	0.592057	+	1.02547i	−0.401898	+	0.915685i	$0.631649\pi$
$84$	−3.12773	+	6.66019i	−0.341263	+	0.726686i
$85$	1.03633	−	1.79498i	0.112406	−	0.194692i
$86$	8.53954	−	14.7909i	0.920842	−	1.59494i
$87$	0.348525	−	0.0295392i	0.0373658	−	0.00316693i
$88$	−4.31809	−	7.47915i	−0.460310	−	0.797280i
$89$	9.51138			1.00820			0.504102	−	0.863644i	$-0.331823\pi$
$89$	9.51138			1.00820			0.504102	+	0.863644i	$0.331823\pi$
$90$	−1.86124	−	2.24275i	−0.196192	−	0.236407i
$91$	7.98129			0.836666
$92$	−5.54740	−	9.60838i	−0.578357	−	1.00174i
$93$	−1.56145	−	2.24290i	−0.161914	−	0.232578i
$94$	−13.0571	+	22.6155i	−1.34673	+	2.33261i
$95$	1.45624	−	2.52228i	0.149407	−	0.258780i
$96$	−7.09262	−	10.1880i	−0.723888	−	1.03981i
$97$	−7.74462	−	13.4141i	−0.786347	−	1.36199i	−0.928191	−	0.372103i	$-0.878637\pi$
$97$	−7.74462	−	13.4141i	−0.786347	−	1.36199i	0.141845	−	0.989889i	$-0.454697\pi$
$98$	−10.5979			−1.07055
$99$	−4.70355	+	12.7079i	−0.472725	+	1.27719i
$100$	−13.7776			−1.37776
$101$	−2.76240	−	4.78461i	−0.274869	−	0.476087i	0.695233	−	0.718784i	$-0.255301\pi$
$101$	−2.76240	−	4.78461i	−0.274869	−	0.476087i	−0.970102	+	0.242697i	$0.921968\pi$
$102$	17.9197	−	1.51878i	1.77432	−	0.150382i
$103$	0.272470	−	0.471932i	0.0268473	−	0.0465009i	−0.852290	−	0.523070i	$-0.824787\pi$
$103$	0.272470	−	0.471932i	0.0268473	−	0.0465009i	0.879137	+	0.476569i	$0.158120\pi$
$104$	5.14891	−	8.91817i	0.504892	−	0.874499i
$105$	−0.480470	+	1.02311i	−0.0468891	+	0.0998456i
$106$	−4.79887	−	8.31189i	−0.466108	−	0.807322i
$107$	−2.77703			−0.268466			−0.134233	−	0.990950i	$-0.542857\pi$
$107$	−2.77703			−0.268466			−0.134233	+	0.990950i	$0.542857\pi$
$108$	3.97234	−	14.3564i	0.382238	−	1.38145i
$109$	16.6448			1.59428			0.797142	−	0.603792i	$-0.206344\pi$
$109$	16.6448			1.59428			0.797142	+	0.603792i	$0.206344\pi$
$110$	−2.19402	−	3.80015i	−0.209191	−	0.362330i
$111$	−2.17299	+	4.62716i	−0.206251	+	0.439191i
$112$	−1.12283	+	1.94481i	−0.106098	+	0.183767i
$113$	7.35771	−	12.7439i	0.692155	−	1.19885i	−0.278976	−	0.960298i	$-0.589995\pi$
$113$	7.35771	−	12.7439i	0.692155	−	1.19885i	0.971130	−	0.238549i	$-0.0766718\pi$
$114$	25.1806	−	2.13418i	2.35838	−	0.199884i
$115$	−0.852172	−	1.47600i	−0.0794654	−	0.137638i
$116$	−0.578910			−0.0537504
$117$	−15.9271	+	2.71933i	−1.47246	+	0.251402i
$118$	−18.7394			−1.72511
$119$	−3.48735	−	6.04026i	−0.319685	−	0.553710i
$120$	0.833250	+	1.19690i	0.0760649	+	0.109262i
$121$	−4.70076	+	8.14196i	−0.427342	+	0.740178i
$122$	−12.8459	+	22.2498i	−1.16302	+	2.01440i
$123$	1.14948	+	1.65114i	0.103645	+	0.148879i
$124$	2.26160	+	3.91721i	0.203098	+	0.351776i
$125$	−4.31833			−0.386243
$126$	−9.66757	+	1.65060i	−0.861256	+	0.147047i
$127$	−10.1594			−0.901504			−0.450752	−	0.892649i	$-0.648844\pi$
$127$	−10.1594			−0.901504			−0.450752	+	0.892649i	$0.648844\pi$
$128$	6.92991	+	12.0030i	0.612523	+	1.06092i
$129$	13.3614	−	1.13245i	1.17641	−	0.0997063i
$130$	2.61615	−	4.53131i	0.229452	−	0.397422i
$131$	−10.3993	+	18.0122i	−0.908593	+	1.57373i	−0.0925736	+	0.995706i	$0.529509\pi$
$131$	−10.3993	+	18.0122i	−0.908593	+	1.57373i	−0.816020	+	0.578024i	$0.803824\pi$
$132$	9.53328	−	20.3002i	0.829765	−	1.76690i
$133$	−4.90038	−	8.48771i	−0.424917	−	0.735977i
$134$	−2.20606			−0.190575
$135$	0.610216	−	2.20538i	0.0525190	−	0.189809i
$136$	−8.99907			−0.771664
$137$	−3.54081	−	6.13286i	−0.302512	−	0.523966i	0.674192	−	0.738556i	$-0.264492\pi$
$137$	−3.54081	−	6.13286i	−0.302512	−	0.523966i	−0.976704	+	0.214590i	$0.931158\pi$
$138$	6.28610	−	13.3856i	0.535108	−	1.13946i
$139$	8.17433	−	14.1584i	0.693338	−	1.20090i	−0.277400	−	0.960754i	$-0.589473\pi$
$139$	8.17433	−	14.1584i	0.693338	−	1.20090i	0.970738	−	0.240141i	$-0.0771938\pi$
$140$	0.935389	−	1.62014i	0.0790548	−	0.136927i
$141$	−20.4298	+	1.73153i	−1.72050	+	0.145821i
$142$	−0.938050	−	1.62475i	−0.0787194	−	0.136346i
$143$	−24.3269			−2.03432
$144$	1.57806	−	4.26353i	0.131505	−	0.355294i
$145$	−0.0889300			−0.00738524
$146$	14.6311	+	25.3418i	1.21088	+	2.09730i
$147$	−4.75407	−	6.82888i	−0.392109	−	0.563236i
$148$	4.23042	−	7.32730i	0.347738	−	0.602300i
$149$	−2.27028	+	3.93224i	−0.185989	+	0.322142i	−0.943909	−	0.330205i	$-0.892882\pi$
$149$	−2.27028	+	3.93224i	−0.185989	+	0.322142i	0.757921	+	0.652347i	$0.226215\pi$
$150$	−10.4923	−	15.0715i	−0.856695	−	1.23058i
$151$	−4.44476	−	7.69854i	−0.361709	−	0.626499i	0.626533	−	0.779395i	$-0.284473\pi$
$151$	−4.44476	−	7.69854i	−0.361709	−	0.626499i	−0.988242	+	0.152896i	$0.951140\pi$
$152$	−12.6454			−1.02568
$153$	9.01719	+	10.8655i	0.728997	+	0.878423i
$154$	−14.7661			−1.18989
$155$	0.347419	+	0.601747i	0.0279054	+	0.0483335i
$156$	26.6468	−	2.25844i	2.13345	−	0.180820i
$157$	3.94263	−	6.82883i	0.314656	−	0.545000i	−0.664708	−	0.747103i	$-0.731444\pi$
$157$	3.94263	−	6.82883i	0.314656	−	0.545000i	0.979364	+	0.202103i	$0.0647776\pi$
$158$	11.9783	−	20.7471i	0.952946	−	1.65055i
$159$	3.20316	−	6.82082i	0.254027	−	0.540926i
$160$	1.57810	+	2.73334i	0.124760	+	0.216090i
$161$	−5.73527			−0.452003
$162$	18.7298	−	6.58774i	1.47155	−	0.517582i
$163$	9.04639			0.708568			0.354284	−	0.935138i	$-0.384725\pi$
$163$	9.04639			0.708568			0.354284	+	0.935138i	$0.384725\pi$
$164$	−1.66491	−	2.88371i	−0.130008	−	0.225180i
$165$	1.46447	−	3.11844i	0.114009	−	0.242770i
$166$	11.8993	−	20.6101i	0.923562	−	1.59966i
$167$	12.3828	−	21.4477i	0.958210	−	1.65967i	0.231366	−	0.972867i	$-0.425680\pi$
$167$	12.3828	−	21.4477i	0.958210	−	1.65967i	0.726844	−	0.686802i	$-0.240986\pi$
$168$	4.89007	−	0.414457i	0.377277	−	0.0319760i
$169$	−8.00373	−	13.8629i	−0.615672	−	1.06638i
$170$	−4.57241			−0.350688
$171$	12.6709	+	15.2681i	0.968964	+	1.16758i
$172$	−22.1937			−1.69226
$173$	−2.94145	−	5.09474i	−0.223634	−	0.387346i	0.732275	−	0.681010i	$-0.238459\pi$
$173$	−2.94145	−	5.09474i	−0.223634	−	0.387346i	−0.955909	+	0.293664i	$0.905125\pi$
$174$	−0.440869	−	0.633276i	−0.0334222	−	0.0480086i
$175$	−3.56105	+	6.16792i	−0.269190	+	0.466251i
$176$	3.42239	−	5.92775i	0.257972	−	0.446821i
$177$	−8.40626	−	12.0750i	−0.631853	−	0.907612i
$178$	−10.4914	−	18.1716i	−0.786360	−	1.36202i
$179$	6.61751			0.494616			0.247308	−	0.968937i	$-0.420454\pi$
$179$	6.61751			0.494616			0.247308	+	0.968937i	$0.420454\pi$
$180$	−1.31462	+	3.55178i	−0.0979857	+	0.264734i
$181$	21.4336			1.59315			0.796575	−	0.604540i	$-0.206643\pi$
$181$	21.4336			1.59315			0.796575	+	0.604540i	$0.206643\pi$
$182$	−8.80361	−	15.2483i	−0.652567	−	1.13028i
$183$	−20.0995	+	1.70353i	−1.48579	+	0.125928i
$184$	−3.69996	+	6.40851i	−0.272764	+	0.472442i
$185$	0.649861	−	1.12559i	0.0477788	−	0.0827552i
$186$	−2.56276	+	5.45714i	−0.187911	+	0.400137i
$187$	10.6294	+	18.4106i	0.777298	+	1.34632i
$188$	33.9345			2.47493
$189$	−5.40033	−	5.48898i	−0.392816	−	0.399265i
$190$	−6.42510			−0.466126
$191$	−1.51657	−	2.62677i	−0.109735	−	0.190067i	0.805928	−	0.592014i	$-0.201667\pi$
$191$	−1.51657	−	2.62677i	−0.109735	−	0.190067i	−0.915663	+	0.401947i	$0.868334\pi$
$192$	−9.40950	+	20.0366i	−0.679072	+	1.44602i
$193$	8.24846	−	14.2868i	0.593737	−	1.02838i	−0.399987	−	0.916521i	$-0.630985\pi$
$193$	8.24846	−	14.2868i	0.593737	−	1.02838i	0.993724	−	0.111862i	$-0.0356814\pi$
$194$	−17.0851	+	29.5923i	−1.22664	+	2.12460i
$195$	4.09338	−	0.346934i	0.293133	−	0.0248444i
$196$	6.88581	+	11.9266i	0.491843	+	0.851897i
$197$	−1.23171			−0.0877554			−0.0438777	−	0.999037i	$-0.513971\pi$
$197$	−1.23171			−0.0877554			−0.0438777	+	0.999037i	$0.513971\pi$
$198$	29.4666	−	5.03102i	2.09410	−	0.357539i
$199$	−12.0134			−0.851610			−0.425805	−	0.904815i	$-0.640009\pi$
$199$	−12.0134			−0.851610			−0.425805	+	0.904815i	$0.640009\pi$
$200$	4.59463	+	7.95813i	0.324889	+	0.562725i
$201$	−0.989610	−	1.42150i	−0.0698017	−	0.100265i
$202$	−6.09402	+	10.5552i	−0.428774	+	0.742658i
$203$	−0.149629	+	0.259165i	−0.0105019	+	0.0181898i
$204$	−13.3523	−	19.1796i	−0.934845	−	1.34284i
$205$	−0.255757	−	0.442984i	−0.0178629	−	0.0309394i
$206$	−1.20217			−0.0837593
$207$	11.4451	−	1.95408i	0.795486	−	0.135818i
$208$	8.16174			0.565915
$209$	14.9363	+	25.8704i	1.03317	+	1.78950i
$210$	2.48464	−	0.210585i	0.171456	−	0.0145317i
$211$	0.330139	−	0.571817i	0.0227277	−	0.0393655i	−0.854438	−	0.519554i	$-0.826098\pi$
$211$	0.330139	−	0.571817i	0.0227277	−	0.0393655i	0.877166	+	0.480188i	$0.159432\pi$
$212$	−6.23598	+	10.8010i	−0.428289	+	0.741818i
$213$	0.626132	−	1.33329i	0.0429018	−	0.0913552i
$214$	3.06315	+	5.30554i	0.209393	+	0.362679i
$215$	−3.40932			−0.232514
$216$	−9.61719	+	2.49318i	−0.654367	+	0.169640i
$217$	2.33820			0.158727
$218$	−18.3597	−	31.8000i	−1.24348	−	2.15377i
$219$	−9.76599	+	20.7957i	−0.659924	+	1.40524i
$220$	−2.85106	+	4.93817i	−0.192218	+	0.332932i
$221$	−12.6745	+	21.9529i	−0.852581	+	1.47671i
$222$	11.2371	−	0.952398i	0.754184	−	0.0639207i
$223$	−1.61736	−	2.80134i	−0.108306	−	0.187592i	0.806778	−	0.590855i	$-0.201209\pi$
$223$	−1.61736	−	2.80134i	−0.108306	−	0.187592i	−0.915084	+	0.403263i	$0.867876\pi$
$224$	10.6209			0.709638
$225$	5.00478	−	13.5217i	0.333652	−	0.901448i
$226$	−32.4631			−2.15941
$227$	7.86862	+	13.6289i	0.522259	+	0.904579i	0.999665	+	0.0258960i	$0.00824387\pi$
$227$	7.86862	+	13.6289i	0.522259	+	0.904579i	−0.477406	+	0.878683i	$0.658423\pi$
$228$	−18.7624	−	26.9509i	−1.24257	−	1.78487i
$229$	9.99897	−	17.3187i	0.660750	−	1.14445i	−0.319669	−	0.947529i	$-0.603572\pi$
$229$	9.99897	−	17.3187i	0.660750	−	1.14445i	0.980419	−	0.196924i	$-0.0630951\pi$
$230$	−1.87994	+	3.25616i	−0.123960	+	0.214705i
$231$	−6.62389	−	9.51475i	−0.435820	−	0.626025i
$232$	0.193058	+	0.334386i	0.0126749	+	0.0219535i
$233$	−4.27626			−0.280147			−0.140073	−	0.990141i	$-0.544734\pi$
$233$	−4.27626			−0.280147			−0.140073	+	0.990141i	$0.544734\pi$
$234$	22.7634	+	27.4293i	1.48809	+	1.79311i
$235$	5.21290			0.340052
$236$	12.1757	+	21.0889i	0.792568	+	1.37277i
$237$	18.7420	−	1.58847i	1.21742	−	0.103182i
$238$	−7.69330	+	13.3252i	−0.498683	+	0.863744i
$239$	−8.31356	+	14.3995i	−0.537760	+	0.931427i	0.461265	+	0.887263i	$0.347396\pi$
$239$	−8.31356	+	14.3995i	−0.537760	+	0.931427i	−0.999024	+	0.0441644i	$0.985937\pi$
$240$	−0.491333	+	1.04625i	−0.0317154	+	0.0675348i
$241$	1.75694	+	3.04312i	0.113175	+	0.196024i	0.917049	−	0.398775i	$-0.130565\pi$
$241$	1.75694	+	3.04312i	0.113175	+	0.196024i	−0.803874	+	0.594800i	$0.797231\pi$
$242$	20.7404			1.33324
$243$	12.6468	+	9.11360i	0.811294	+	0.584638i
$244$	33.3858			2.13731
$245$	1.05777	+	1.83212i	0.0675786	+	0.117050i
$246$	1.88661	−	4.01735i	0.120286	−	0.256137i
$247$	−17.8101	+	30.8480i	−1.13323	+	1.96281i
$248$	1.50842	−	2.61267i	0.0957850	−	0.165904i
$249$	18.6183	−	1.57799i	1.17988	−	0.100001i
$250$	4.76325	+	8.25019i	0.301255	+	0.521788i
$251$	−17.1233			−1.08081			−0.540406	−	0.841404i	$-0.681729\pi$
$251$	−17.1233			−1.08081			−0.540406	+	0.841404i	$0.681729\pi$
$252$	8.13890	+	9.80717i	0.512702	+	0.617794i
$253$	17.4810			1.09902
$254$	11.2062	+	19.4097i	0.703138	+	1.21787i
$255$	−2.05112	−	2.94629i	−0.128446	−	0.184504i
$256$	2.50756	−	4.34323i	0.156723	−	0.271452i
$257$	−11.3541	+	19.6659i	−0.708250	+	1.22673i	0.257256	+	0.966343i	$0.417182\pi$
$257$	−11.3541	+	19.6659i	−0.708250	+	1.22673i	−0.965506	+	0.260382i	$0.916152\pi$
$258$	−16.9016	−	24.2780i	−1.05225	−	1.51148i
$259$	−2.18684	−	3.78773i	−0.135884	−	0.235358i
$260$	−6.79922			−0.421670
$261$	0.210292	−	0.568159i	0.0130167	−	0.0351681i
$262$	45.8831			2.83467
$263$	−7.05271	−	12.2156i	−0.434889	−	0.753249i	0.562398	−	0.826867i	$-0.309879\pi$
$263$	−7.05271	−	12.2156i	−0.434889	−	0.753249i	−0.997287	+	0.0736176i	$0.976546\pi$
$264$	−14.9049	+	1.26326i	−0.917331	+	0.0777482i
$265$	−0.957949	+	1.65922i	−0.0588463	+	0.101925i
$266$	−10.8105	+	18.7244i	−0.662837	+	1.14807i
$267$	7.00279	−	14.9117i	0.428564	−	0.912584i
$268$	1.43335	+	2.48264i	0.0875560	+	0.151651i
$269$	0.739281			0.0450748			0.0225374	−	0.999746i	$-0.492826\pi$
$269$	0.739281			0.0450748			0.0225374	+	0.999746i	$0.492826\pi$
$270$	−4.88648	+	1.26678i	−0.297382	+	0.0770939i
$271$	−10.0678			−0.611573			−0.305786	−	0.952100i	$-0.598919\pi$
$271$	−10.0678			−0.611573			−0.305786	+	0.952100i	$0.598919\pi$
$272$	−3.56619	−	6.17683i	−0.216232	−	0.374525i
$273$	5.87625	−	12.5129i	0.355647	−	0.757315i
$274$	−7.81124	+	13.5295i	−0.471894	+	0.817345i
$275$	10.8540	−	18.7998i	0.654523	−	1.13367i
$276$	−19.1481	+	1.62290i	−1.15258	+	0.0976868i
$277$	−1.57583	−	2.72942i	−0.0946825	−	0.163995i	0.814794	−	0.579751i	$-0.196850\pi$
$277$	−1.57583	−	2.72942i	−0.0946825	−	0.163995i	−0.909476	+	0.415756i	$0.863517\pi$
$278$	−36.0661			−2.16310
$279$	−4.66600	+	0.796654i	−0.279346	+	0.0476945i
$280$	−1.24775			−0.0745676
$281$	1.55818	+	2.69885i	0.0929535	+	0.161000i	0.908753	−	0.417335i	$-0.137036\pi$
$281$	1.55818	+	2.69885i	0.0929535	+	0.161000i	−0.815799	+	0.578335i	$0.803703\pi$
$282$	25.8428	+	37.1214i	1.53892	+	2.21054i
$283$	13.4261	−	23.2547i	0.798099	−	1.38235i	−0.122754	−	0.992437i	$-0.539173\pi$
$283$	13.4261	−	23.2547i	0.798099	−	1.38235i	0.920853	−	0.389910i	$-0.127494\pi$
$284$	−1.21897	+	2.11131i	−0.0723324	+	0.125283i
$285$	−2.88222	−	4.14010i	−0.170728	−	0.245238i
$286$	26.8333	+	46.4766i	1.58669	+	2.74822i
$287$	−1.72129			−0.101605
$288$	−21.1946	+	3.61868i	−1.24890	+	0.213233i
$289$	5.15207			0.303063
$290$	0.0980926	+	0.169901i	0.00576019	+	0.00997695i
$291$	−26.7323	+	2.26569i	−1.56707	+	0.132817i
$292$	19.0126	−	32.9308i	1.11263	−	1.92713i
$293$	10.9837	−	19.0243i	0.641674	−	1.11141i	−0.343385	−	0.939195i	$-0.611574\pi$
$293$	10.9837	−	19.0243i	0.641674	−	1.11141i	0.985059	−	0.172217i	$-0.0550930\pi$
$294$	−7.80273	+	16.6151i	−0.455064	+	0.969014i
$295$	1.87038	+	3.23959i	0.108898	+	0.188616i
$296$	−5.64313			−0.328000
$297$	16.4601	+	16.7304i	0.955115	+	0.970794i
$298$	10.0168			0.580255
$299$	10.4222	+	18.0518i	0.602734	+	1.04397i
$300$	−10.1438	+	21.6002i	−0.585653	+	1.24709i
$301$	−5.73634	+	9.93563i	−0.330637	+	0.572680i
$302$	−9.80541	+	16.9835i	−0.564238	+	0.977288i
$303$	−9.53504	+	0.808141i	−0.547774	+	0.0464265i
$304$	−5.01117	−	8.67961i	−0.287411	−	0.497810i
$305$	5.12860			0.293663
$306$	10.8123	−	29.2124i	0.618100	−	1.66996i
$307$	−25.8150			−1.47334			−0.736670	−	0.676252i	$-0.763603\pi$
$307$	−25.8150			−1.47334			−0.736670	+	0.676252i	$0.763603\pi$
$308$	9.59407	+	16.6174i	0.546673	+	0.946865i
$309$	−0.539279	−	0.774635i	−0.0306785	−	0.0440675i
$310$	0.766428	−	1.32749i	0.0435302	−	0.0753965i
$311$	−7.63756	+	13.2286i	−0.433086	+	0.750127i	−0.997137	−	0.0756127i	$-0.975909\pi$
$311$	−7.63756	+	13.2286i	−0.433086	+	0.750127i	0.564051	+	0.825740i	$0.309242\pi$
$312$	−10.1908	−	14.6384i	−0.576942	−	0.828736i
$313$	−9.73374	−	16.8593i	−0.550184	−	0.952946i	−0.998261	−	0.0589511i	$-0.981224\pi$
$313$	−9.73374	−	16.8593i	−0.550184	−	0.952946i	0.448077	−	0.893995i	$-0.352109\pi$
$314$	−17.3954			−0.981677
$315$	1.25027	+	1.50654i	0.0704446	+	0.0848840i
$316$	−31.1310			−1.75125
$317$	5.72396	+	9.91420i	0.321490	+	0.556837i	0.980796	−	0.195038i	$-0.0624831\pi$
$317$	5.72396	+	9.91420i	0.321490	+	0.556837i	−0.659306	+	0.751875i	$0.729150\pi$
$318$	−16.5644	+	1.40391i	−0.928885	+	0.0787275i
$319$	0.456067	−	0.789932i	0.0255349	−	0.0442277i
$320$	2.81404	−	4.87406i	0.157310	−	0.272468i
$321$	−2.04460	+	4.35377i	−0.114118	+	0.243004i
$322$	6.32618	+	10.9573i	0.352544	+	0.610625i
$323$	31.1278			1.73200
$324$	−19.5831	−	16.7977i	−1.08795	−	0.933206i
$325$	25.8848			1.43583
$326$	−9.97845	−	17.2832i	−0.552655	−	0.957227i
$327$	12.2548	−	26.0954i	0.677692	−	1.44308i
$328$	−1.11045	+	1.92335i	−0.0613141	+	0.106199i
$329$	8.77094	−	15.1917i	0.483558	−	0.837547i
$330$	−7.57314	+	0.641861i	−0.416888	+	0.0353333i
$331$	−2.30838	−	3.99823i	−0.126880	−	0.219763i	0.795586	−	0.605840i	$-0.207163\pi$
$331$	−2.30838	−	3.99823i	−0.126880	−	0.219763i	−0.922466	+	0.386078i	$0.873830\pi$
$332$	−30.9255			−1.69725
$333$	5.65450	+	6.81353i	0.309865	+	0.373379i
$334$	−54.6345			−2.98947
$335$	0.220187	+	0.381374i	0.0120301	+	0.0208367i
$336$	2.22234	+	3.19223i	0.121238	+	0.174150i
$337$	8.49259	−	14.7096i	0.462621	−	0.801283i	−0.536470	−	0.843920i	$-0.680242\pi$
$337$	8.49259	−	14.7096i	0.462621	−	0.801283i	0.999091	+	0.0426367i	$0.0135758\pi$
$338$	−17.6567	+	30.5824i	−0.960400	+	1.66346i
$339$	−14.5625	−	20.9180i	−0.790927	−	1.13611i
$340$	2.97085	+	5.14567i	0.161117	+	0.279063i
$341$	−7.12679			−0.385937
$342$	15.1934	−	41.0489i	0.821563	−	2.21967i
$343$	17.4923			0.944495
$344$	7.40128	+	12.8194i	0.399050	+	0.691176i
$345$	−2.94146	+	0.249303i	−0.158363	+	0.0134220i
$346$	−6.48902	+	11.2393i	−0.348852	+	0.604229i
$347$	−10.3746	+	17.9694i	−0.556939	+	0.964647i	0.440810	+	0.897600i	$0.354691\pi$
$347$	−10.3746	+	17.9694i	−0.556939	+	0.964647i	−0.997750	+	0.0670471i	$0.978642\pi$
$348$	−0.426225	+	0.907603i	−0.0228480	+	0.0486526i
$349$	10.2828	+	17.8104i	0.550428	+	0.953368i	0.998244	+	0.0592428i	$0.0188686\pi$
$349$	10.2828	+	17.8104i	0.550428	+	0.953368i	−0.447816	+	0.894126i	$0.647798\pi$
$350$	15.7118			0.839831
$351$	−7.46307	+	26.9723i	−0.398349	+	1.43967i
$352$	−32.3724			−1.72545
$353$	7.67627	+	13.2957i	0.408567	+	0.707658i	0.994729	−	0.102535i	$-0.0326955\pi$
$353$	7.67627	+	13.2957i	0.408567	+	0.707658i	−0.586163	+	0.810193i	$0.699362\pi$
$354$	−13.7970	+	29.3793i	−0.733301	+	1.56149i
$355$	−0.187253	+	0.324332i	−0.00993837	+	0.0172138i
$356$	−13.6332	+	23.6134i	−0.722557	+	1.25151i
$357$	−12.0374	+	1.02023i	−0.637085	+	0.0539960i
$358$	−7.29932	−	12.6428i	−0.385781	−	0.668192i
$359$	17.2747			0.911722			0.455861	−	0.890051i	$-0.349331\pi$
$359$	17.2747			0.911722			0.455861	+	0.890051i	$0.349331\pi$
$360$	2.48996	−	0.425127i	0.131233	−	0.0224061i
$361$	24.7405			1.30213
$362$	−23.6420	−	40.9491i	−1.24259	−	2.15224i
$363$	9.30384	+	13.3643i	0.488325	+	0.701444i
$364$	−11.4400	+	19.8147i	−0.599619	+	1.03857i
$365$	2.92065	−	5.05872i	0.152874	−	0.264785i
$366$	25.4249	+	36.5211i	1.32898	+	1.90899i
$367$	17.0155	+	29.4717i	0.888200	+	1.53841i	0.842001	+	0.539476i	$0.181377\pi$
$367$	17.0155	+	29.4717i	0.888200	+	1.53841i	0.0461989	+	0.998932i	$0.485289\pi$
$368$	−5.86494			−0.305731
$369$	3.43494	−	0.586468i	0.178816	−	0.0305303i
$370$	−2.86727			−0.149062
$371$	3.22359	+	5.58342i	0.167360	+	0.289877i
$372$	7.80643	−	0.661633i	0.404745	−	0.0343041i
$373$	−4.27653	+	7.40716i	−0.221430	+	0.383528i	−0.955242	−	0.295824i	$-0.904406\pi$
$373$	−4.27653	+	7.40716i	−0.221430	+	0.383528i	0.733812	+	0.679352i	$0.237739\pi$
$374$	23.4491	−	40.6150i	1.21252	−	2.10015i
$375$	−3.17939	+	6.77019i	−0.164183	+	0.349611i
$376$	−11.3167	−	19.6010i	−0.583613	−	1.01085i
$377$	1.08763			0.0560160
$378$	−4.53000	+	16.3719i	−0.232998	+	0.842079i
$379$	18.9338			0.972564			0.486282	−	0.873802i	$-0.338353\pi$
$379$	18.9338			0.972564			0.486282	+	0.873802i	$0.338353\pi$
$380$	4.17461	+	7.23064i	0.214153	+	0.370924i
$381$	−7.47992	+	15.9278i	−0.383208	+	0.816003i
$382$	−3.34564	+	5.79483i	−0.171178	+	0.296489i
$383$	3.94027	−	6.82474i	0.201338	−	0.348728i	−0.747622	−	0.664125i	$-0.768804\pi$
$383$	3.94027	−	6.82474i	0.201338	−	0.348728i	0.948960	+	0.315397i	$0.102138\pi$
$384$	23.9202	−	2.02735i	1.22067	−	0.103458i
$385$	1.47381	+	2.55271i	0.0751121	+	0.130098i
$386$	−36.3932			−1.85237
$387$	8.06198	−	21.7815i	0.409813	−	1.10722i
$388$	44.4031			2.25423
$389$	5.89481	+	10.2101i	0.298879	+	0.517673i	0.975880	−	0.218309i	$-0.0700540\pi$
$389$	5.89481	+	10.2101i	0.298879	+	0.517673i	−0.677001	+	0.735982i	$0.736721\pi$
$390$	−5.17794	−	7.43775i	−0.262195	−	0.376625i
$391$	9.10780	−	15.7752i	0.460601	−	0.797784i
$392$	4.59263	−	7.95467i	0.231963	−	0.401772i
$393$	20.5825	+	29.5654i	1.03825	+	1.49138i
$394$	1.35861	+	2.35318i	0.0684458	+	0.118552i
$395$	−4.78223			−0.240620
$396$	−24.8073	−	29.8921i	−1.24661	−	1.50214i
$397$	−15.7494			−0.790441			−0.395221	−	0.918586i	$-0.629332\pi$
$397$	−15.7494			−0.790441			−0.395221	+	0.918586i	$0.629332\pi$
$398$	13.2512	+	22.9517i	0.664222	+	1.15047i
$399$	−16.9148	+	1.43361i	−0.846798	+	0.0717702i
$400$	−3.64156	+	6.30737i	−0.182078	+	0.315369i
$401$	8.63107	−	14.9494i	0.431015	−	0.746540i	−0.565946	−	0.824442i	$-0.691489\pi$
$401$	8.63107	−	14.9494i	0.431015	−	0.746540i	0.996961	+	0.0779026i	$0.0248223\pi$
$402$	−1.62422	+	3.45862i	−0.0810088	+	0.172500i
$403$	−4.24901	−	7.35950i	−0.211658	−	0.366603i
$404$	15.8380			0.787969
$405$	−3.00828	−	2.58040i	−0.149482	−	0.128221i
$406$	0.660181			0.0327643
$407$	6.66548	+	11.5449i	0.330395	+	0.572262i
$408$	−6.62559	+	14.1085i	−0.328016	+	0.698477i
$409$	−0.789837	+	1.36804i	−0.0390549	+	0.0676451i	−0.884892	−	0.465796i	$-0.845768\pi$
$409$	−0.789837	+	1.36804i	−0.0390549	+	0.0676451i	0.845837	+	0.533441i	$0.179101\pi$
$410$	−0.564216	+	0.977251i	−0.0278646	+	0.0482630i
$411$	−12.2219	+	1.03587i	−0.602862	+	0.0510955i
$412$	0.781093	+	1.35289i	0.0384817	+	0.0666522i
$413$	12.5880			0.619415
$414$	−16.3575	−	19.7104i	−0.803929	−	0.968715i
$415$	−4.75066			−0.233201
$416$	−19.3005	−	33.4294i	−0.946283	−	1.63901i
$417$	−16.1788	−	23.2397i	−0.792279	−	1.13805i
$418$	32.9504	−	57.0718i	1.61166	−	2.79147i
$419$	7.14877	−	12.3820i	0.349240	−	0.604902i	−0.636874	−	0.770968i	$-0.719773\pi$
$419$	7.14877	−	12.3820i	0.349240	−	0.604902i	0.986115	+	0.166065i	$0.0531063\pi$
$420$	−1.85134	−	2.65932i	−0.0903362	−	0.129761i
$421$	0.514701	+	0.891489i	0.0250850	+	0.0434485i	0.878295	−	0.478118i	$-0.158681\pi$
$421$	0.514701	+	0.891489i	0.0250850	+	0.0434485i	−0.853210	+	0.521567i	$0.825348\pi$
$422$	−1.45661			−0.0709068
$423$	−12.3269	+	33.3043i	−0.599353	+	1.61931i
$424$	8.31844			0.403979
$425$	−11.3101	−	19.5897i	−0.548622	−	0.950240i
$426$	−3.23789	+	0.274427i	−0.156876	+	0.0132960i
$427$	8.62911	−	14.9461i	0.417592	−	0.723291i
$428$	3.98047	−	6.89438i	0.192403	−	0.333252i
$429$	−17.9107	+	38.1392i	−0.864739	+	1.84138i
$430$	3.76058	+	6.51352i	0.181351	+	0.314110i
$431$	−11.0240			−0.531009			−0.265504	−	0.964110i	$-0.585538\pi$
$431$	−11.0240			−0.531009			−0.265504	+	0.964110i	$0.585538\pi$
$432$	−5.52243	−	5.61309i	−0.265698	−	0.270060i
$433$	8.84362			0.424997			0.212499	−	0.977161i	$-0.431840\pi$
$433$	8.84362			0.424997			0.212499	+	0.977161i	$0.431840\pi$
$434$	−2.57910	−	4.46714i	−0.123801	−	0.214429i
$435$	−0.0654751	+	0.139423i	−0.00313929	+	0.00668480i
$436$	−23.8579	+	41.3231i	−1.14259	+	1.97902i
$437$	12.7982	−	22.1671i	0.612219	−	1.06040i
$438$	50.5025	−	4.28033i	2.41310	−	0.204522i
$439$	−7.13255	−	12.3539i	−0.340418	−	0.589621i	0.644092	−	0.764948i	$-0.277235\pi$
$439$	−7.13255	−	12.3539i	−0.340418	−	0.589621i	−0.984510	+	0.175326i	$0.943902\pi$
$440$	3.80314			0.181308
$441$	−14.2064	+	2.42554i	−0.676494	+	0.115502i
$442$	55.9216			2.65992
$443$	−12.0326	−	20.8411i	−0.571688	−	0.990192i	−0.996393	−	0.0848603i	$-0.972956\pi$
$443$	−12.0326	−	20.8411i	−0.571688	−	0.990192i	0.424705	−	0.905332i	$-0.360378\pi$
$444$	−8.37293	−	12.0271i	−0.397361	−	0.570781i
$445$	−2.09428	+	3.62740i	−0.0992784	+	0.171955i
$446$	−3.56799	+	6.17993i	−0.168949	+	0.292628i
$447$	4.49338	+	6.45442i	0.212530	+	0.305284i
$448$	−9.46950	−	16.4017i	−0.447392	−	0.774905i
$449$	16.0018			0.755173			0.377586	−	0.925974i	$-0.376754\pi$
$449$	16.0018			0.755173			0.377586	+	0.925974i	$0.376754\pi$
$450$	−31.3538	+	5.35322i	−1.47803	+	0.252353i
$451$	5.24648			0.247047
$452$	21.0924	+	36.5331i	0.992103	+	1.71837i
$453$	−15.3421	+	1.30032i	−0.720834	+	0.0610942i
$454$	17.3587	−	30.0661i	0.814683	−	1.41107i
$455$	−1.75737	+	3.04386i	−0.0823869	+	0.142698i
$456$	−9.31021	+	19.8252i	−0.435991	+	0.928399i
$457$	−15.1569	−	26.2525i	−0.709010	−	1.22804i	−0.965225	−	0.261422i	$-0.915809\pi$
$457$	−15.1569	−	26.2525i	−0.709010	−	1.22804i	0.256214	−	0.966620i	$-0.417525\pi$
$458$	−44.1167			−2.06144
$459$	23.6736	−	6.13721i	1.10499	−	0.286460i
$460$	4.88585			0.227804
$461$	10.3105	+	17.8584i	0.480210	+	0.831748i	0.999742	−	0.0227026i	$-0.00722708\pi$
$461$	10.3105	+	17.8584i	0.480210	+	0.831748i	−0.519532	+	0.854451i	$0.673894\pi$
$462$	−10.8716	+	23.1500i	−0.505794	+	1.07704i
$463$	−13.0172	+	22.5464i	−0.604959	+	1.04782i	0.387099	+	0.922038i	$0.373477\pi$
$463$	−13.0172	+	22.5464i	−0.604959	+	1.04782i	−0.992058	+	0.125781i	$0.959856\pi$
$464$	−0.153012	+	0.265024i	−0.00710340	+	0.0123035i
$465$	1.19920	−	0.101638i	0.0556114	−	0.00471333i
$466$	4.71684	+	8.16981i	0.218503	+	0.378459i
$467$	30.8464			1.42740			0.713700	−	0.700452i	$-0.247018\pi$
$467$	30.8464			1.42740			0.713700	+	0.700452i	$0.247018\pi$
$468$	16.0780	−	43.4390i	0.743208	−	2.00797i
$469$	1.48190			0.0684276
$470$	−5.74999	−	9.95927i	−0.265227	−	0.459387i
$471$	−7.80332	−	11.2089i	−0.359558	−	0.516480i
$472$	8.12081	−	14.0657i	0.373791	−	0.647424i
$473$	17.4843	−	30.2837i	0.803928	−	1.39244i
$474$	−23.7078	−	34.0545i	−1.08893	−	1.56418i
$475$	−15.8929	−	27.5272i	−0.729214	−	1.26304i
$476$	19.9944			0.916442
$477$	−8.33519	−	10.0437i	−0.381642	−	0.459869i
$478$	36.6805			1.67773
$479$	6.25902	+	10.8409i	0.285982	+	0.495336i	0.972847	−	0.231450i	$-0.0743469\pi$
$479$	6.25902	+	10.8409i	0.285982	+	0.495336i	−0.686865	+	0.726785i	$0.741014\pi$
$480$	5.44716	−	0.461673i	0.248628	−	0.0210724i
$481$	−7.94794	+	13.7662i	−0.362395	+	0.627687i
$482$	3.87593	−	6.71330i	0.176544	−	0.305782i
$483$	−4.22262	+	8.99164i	−0.192136	+	0.409134i
$484$	−13.4757	−	23.3406i	−0.612533	−	1.06094i
$485$	6.82104			0.309728
$486$	3.46175	−	34.2144i	0.157028	−	1.55200i
$487$	26.2937			1.19148			0.595740	−	0.803178i	$-0.296859\pi$
$487$	26.2937			1.19148			0.595740	+	0.803178i	$0.296859\pi$
$488$	−11.1337	−	19.2841i	−0.503998	−	0.872950i
$489$	6.66044	−	14.1827i	0.301195	−	0.641366i
$490$	2.33351	−	4.04176i	0.105417	−	0.182588i
$491$	−1.07497	+	1.86191i	−0.0485128	+	0.0840267i	−0.889262	−	0.457398i	$-0.848782\pi$
$491$	−1.07497	+	1.86191i	−0.0485128	+	0.0840267i	0.840749	+	0.541425i	$0.182115\pi$
$492$	−5.74681	+	0.487070i	−0.259086	+	0.0219588i
$493$	−0.475231	−	0.823124i	−0.0214033	−	0.0370716i
$494$	78.5804			3.53550
$495$	−3.81080	−	4.59192i	−0.171283	−	0.206392i
$496$	2.39106			0.107362
$497$	0.630125	+	1.09141i	0.0282650	+	0.0489563i
$498$	−23.5513	−	33.8297i	−1.05536	−	1.51595i
$499$	−13.0555	+	22.6127i	−0.584443	+	1.01228i	0.410502	+	0.911860i	$0.365354\pi$
$499$	−13.0555	+	22.6127i	−0.584443	+	1.01228i	−0.994945	+	0.100425i	$0.967980\pi$
$500$	6.18970	−	10.7209i	0.276812	−	0.479452i
$501$	−24.5083	−	35.2044i	−1.09495	−	1.57282i
$502$	18.8875	+	32.7141i	0.842991	+	1.46010i
$503$	−7.99853			−0.356637			−0.178318	−	0.983973i	$-0.557066\pi$
$503$	−7.99853			−0.356637			−0.178318	+	0.983973i	$0.557066\pi$
$504$	2.95055	−	7.97169i	0.131428	−	0.355087i
$505$	2.43297			0.108266
$506$	−19.2821	−	33.3976i	−0.857196	−	1.48471i
$507$	−27.6267	+	2.34150i	−1.22694	+	0.103990i
$508$	14.5621	−	25.2222i	0.646087	−	1.11906i
$509$	0.976397	−	1.69117i	0.0432780	−	0.0749598i	−0.843575	−	0.537011i	$-0.819553\pi$
$509$	0.976397	−	1.69117i	0.0432780	−	0.0749598i	0.886853	+	0.462052i	$0.152887\pi$
$510$	−3.36646	+	7.16854i	−0.149069	+	0.317428i
$511$	−9.82826	−	17.0231i	−0.434777	−	0.753055i
$512$	16.6560			0.736096
$513$	33.2659	−	8.62393i	1.46873	−	0.380756i
$514$	50.0958			2.20963
$515$	0.119989	+	0.207826i	0.00528733	+	0.00915793i
$516$	−16.3402	+	34.7948i	−0.719337	+	1.53176i
$517$	−26.7337	+	46.3042i	−1.17575	+	2.03646i
$518$	−4.82431	+	8.35596i	−0.211968	+	0.367140i
$519$	−10.1531	+	0.860522i	−0.445671	+	0.0377727i
$520$	2.26744	+	3.92732i	0.0994339	+	0.172225i
$521$	40.3292			1.76685			0.883426	−	0.468570i	$-0.155231\pi$
$521$	40.3292			1.76685			0.883426	+	0.468570i	$0.155231\pi$
$522$	−1.31743	+	0.224933i	−0.0576623	+	0.00984503i
$523$	−35.9752			−1.57308			−0.786542	−	0.617537i	$-0.788131\pi$
$523$	−35.9752			−1.57308			−0.786542	+	0.617537i	$0.788131\pi$
$524$	−29.8118	−	51.6356i	−1.30234	−	2.25571i
$525$	7.04810	+	10.1241i	0.307604	+	0.441852i
$526$	−15.5587	+	26.9485i	−0.678392	+	1.17501i
$527$	−3.71313	+	6.43133i	−0.161746	+	0.280153i
$528$	−6.77365	−	9.72987i	−0.294785	−	0.423438i
$529$	4.01068	+	6.94670i	0.174377	+	0.302031i
$530$	4.22659			0.183591
$531$	−25.1201	+	4.28890i	−1.09012	+	0.186122i
$532$	28.0959			1.21811
$533$	3.12796	+	5.41779i	0.135487	+	0.234671i
$534$	−36.2133	+	3.06925i	−1.56710	+	0.132819i
$535$	0.611466	−	1.05909i	0.0264360	−	0.0457884i
$536$	0.956006	−	1.65585i	0.0412931	−	0.0715218i
$537$	4.87216	−	10.3748i	0.210249	−	0.447705i
$538$	−0.815450	−	1.41240i	−0.0351565	−	0.0608929i
$539$	−21.6986			−0.934627
$540$	4.60052	+	4.67604i	0.197975	+	0.201225i
$541$	−18.3317			−0.788142			−0.394071	−	0.919080i	$-0.628934\pi$
$541$	−18.3317			−0.788142			−0.394071	+	0.919080i	$0.628934\pi$
$542$	11.1050	+	19.2345i	0.477003	+	0.826193i
$543$	15.7806	−	33.6032i	0.677210	−	1.44205i
$544$	−16.8663	+	29.2133i	−0.723137	+	1.25251i
$545$	−3.66497	+	6.34791i	−0.156990	+	0.271914i
$546$	−30.3876	+	2.57550i	−1.30047	+	0.110221i
$547$	−21.5438	−	37.3149i	−0.921146	−	1.59547i	−0.797646	−	0.603126i	$-0.793922\pi$
$547$	−21.5438	−	37.3149i	−0.921146	−	1.59547i	−0.123500	−	0.992345i	$-0.539412\pi$
$548$	20.3009			0.867213
$549$	−12.1275	+	32.7657i	−0.517591	+	1.39841i
$550$	−47.8894			−2.04201
$551$	−0.667789	−	1.15664i	−0.0284488	−	0.0492747i
$552$	7.32302	+	10.5190i	0.311689	+	0.447718i
$553$	−8.04632	+	13.9366i	−0.342164	+	0.592646i
$554$	−3.47638	+	6.02127i	−0.147697	+	0.255819i
$555$	−1.28622	−	1.84756i	−0.0545969	−	0.0784246i
$556$	23.4334	+	40.5879i	0.993798	+	1.72131i
$557$	−0.911519			−0.0386223			−0.0193111	−	0.999814i	$-0.506147\pi$
$557$	−0.911519			−0.0386223			−0.0193111	+	0.999814i	$0.506147\pi$
$558$	6.66875	+	8.03568i	0.282311	+	0.340177i
$559$	41.6967			1.76358
$560$	−0.494466	−	0.856441i	−0.0208950	−	0.0361912i
$561$	36.6898	−	3.10963i	1.54904	−	0.131289i
$562$	3.43745	−	5.95384i	0.145000	−	0.251148i
$563$	−5.57226	+	9.65144i	−0.234843	+	0.406760i	−0.959227	−	0.282637i	$-0.908791\pi$
$563$	−5.57226	+	9.65144i	−0.234843	+	0.406760i	0.724384	+	0.689396i	$0.242124\pi$
$564$	24.9844	−	53.2018i	1.05203	−	2.24020i
$565$	3.24014	+	5.61208i	0.136314	+	0.236102i
$566$	−59.2376			−2.48994
$567$	−12.5815	+	4.42524i	−0.528374	+	0.185843i
$568$	1.62603			0.0682267
$569$	−12.6664	−	21.9388i	−0.531003	−	0.919724i	−0.999345	−	0.0361767i	$-0.988482\pi$
$569$	−12.6664	−	21.9388i	−0.531003	−	0.919724i	0.468343	−	0.883547i	$-0.344851\pi$
$570$	−4.73051	+	10.0731i	−0.198139	+	0.421918i
$571$	3.38851	−	5.86908i	0.141805	−	0.245613i	−0.786371	−	0.617754i	$-0.788043\pi$
$571$	3.38851	−	5.86908i	0.141805	−	0.245613i	0.928176	+	0.372141i	$0.121376\pi$
$572$	34.8690	−	60.3949i	1.45795	−	2.52524i
$573$	−5.23478	+	0.443673i	−0.218686	+	0.0185347i
$574$	1.89864	+	3.28854i	0.0792477	+	0.137261i
$575$	−18.6006			−0.775698
$576$	24.4852	+	29.5040i	1.02022	+	1.22933i
$577$	12.7408			0.530406			0.265203	−	0.964193i	$-0.414561\pi$
$577$	12.7408			0.530406			0.265203	+	0.964193i	$0.414561\pi$
$578$	−5.68289	−	9.84305i	−0.236377	−	0.409417i
$579$	−16.3255	−	23.4504i	−0.678465	−	0.974567i
$580$	0.127468	−	0.220781i	0.00529283	−	0.00916745i
$581$	−7.99320	+	13.8446i	−0.331614	+	0.574372i
$582$	33.8152	+	48.5731i	1.40168	+	2.01342i
$583$	−9.82546	−	17.0182i	−0.406929	−	0.704822i
$584$	−25.3617			−1.04948
$585$	2.46985	−	6.67295i	0.102116	−	0.275892i
$586$	−48.4614			−2.00192
$587$	−3.68833	−	6.38838i	−0.152234	−	0.263677i	0.779815	−	0.626011i	$-0.215313\pi$
$587$	−3.68833	−	6.38838i	−0.152234	−	0.263677i	−0.932048	+	0.362334i	$0.881980\pi$
$588$	23.7679	−	2.01445i	0.980172	−	0.0830743i
$589$	−5.21764	+	9.03723i	−0.214989	+	0.372372i
$590$	4.12617	−	7.14674i	0.169872	−	0.294227i
$591$	−0.906848	+	1.93104i	−0.0373027	+	0.0794325i
$592$	−2.23629	−	3.87336i	−0.0919108	−	0.159194i
$593$	−27.3319			−1.12239			−0.561194	−	0.827684i	$-0.689658\pi$
$593$	−27.3319			−1.12239			−0.561194	+	0.827684i	$0.689658\pi$
$594$	13.8074	−	49.9013i	0.566524	−	2.04748i
$595$	3.07147			0.125918
$596$	−6.50823	−	11.2726i	−0.266587	−	0.461743i
$597$	−8.84493	+	18.8344i	−0.361999	+	0.770841i
$598$	22.9921	−	39.8235i	0.940217	−	1.62850i
$599$	−16.3369	+	28.2963i	−0.667507	+	1.15616i	0.311092	+	0.950380i	$0.399305\pi$
$599$	−16.3369	+	28.2963i	−0.667507	+	1.15616i	−0.978599	+	0.205776i	$0.934028\pi$
$600$	15.8594	−	1.34416i	0.647458	−	0.0548752i
$601$	16.7404	+	28.9951i	0.682853	+	1.18274i	0.974106	+	0.226091i	$0.0725946\pi$
$601$	16.7404	+	28.9951i	0.682853	+	1.18274i	−0.291253	+	0.956646i	$0.594072\pi$
$602$	25.3094			1.03154
$603$	−2.95721	+	0.504902i	−0.120427	+	0.0205612i
$604$	25.4836			1.03691
$605$	−2.07009	−	3.58550i	−0.0841612	−	0.145771i
$606$	12.0614	+	17.3253i	0.489961	+	0.703794i
$607$	−18.0030	+	31.1821i	−0.730719	+	1.26564i	0.225857	+	0.974160i	$0.427482\pi$
$607$	−18.0030	+	31.1821i	−0.730719	+	1.26564i	−0.956576	+	0.291482i	$0.905852\pi$
$608$	−23.7003	+	41.0502i	−0.961176	+	1.66481i
$609$	0.296149	+	0.425396i	0.0120005	+	0.0172379i
$610$	−5.65701	−	9.79822i	−0.229045	−	0.396718i
$611$	−63.7548			−2.57924
$612$	−39.8999	+	6.81236i	−1.61286	+	0.275373i
$613$	25.3147			1.02245			0.511225	−	0.859447i	$-0.329192\pi$
$613$	25.3147			1.02245			0.511225	+	0.859447i	$0.329192\pi$
$614$	28.4747	+	49.3197i	1.14915	+	1.99038i
$615$	−0.882804	+	0.0748219i	−0.0355981	+	0.00301711i
$616$	6.39897	−	11.0833i	0.257822	−	0.446560i
$617$	3.40613	−	5.89959i	0.137126	−	0.237508i	−0.789282	−	0.614031i	$-0.789547\pi$
$617$	3.40613	−	5.89959i	0.137126	−	0.237508i	0.926407	+	0.376523i	$0.122880\pi$
$618$	−0.885104	+	1.88474i	−0.0356041	+	0.0758154i
$619$	7.01360	+	12.1479i	0.281900	+	0.488266i	0.971853	−	0.235589i	$-0.0757019\pi$
$619$	7.01360	+	12.1479i	0.281900	+	0.488266i	−0.689952	+	0.723855i	$0.742369\pi$
$620$	−1.99190			−0.0799965
$621$	5.36289	−	19.3820i	0.215205	−	0.777774i
$622$	33.6978			1.35116
$623$	7.04745	+	12.2065i	0.282350	+	0.489045i
$624$	6.00911	−	12.7958i	0.240557	−	0.512242i
$625$	−11.0643	+	19.1640i	−0.442574	+	0.766560i
$626$	−21.4732	+	37.1927i	−0.858243	+	1.48652i
$627$	51.5560	−	4.36962i	2.05895	−	0.174506i
$628$	11.3024	+	19.5763i	0.451013	+	0.781178i
$629$	13.8911			0.553875
$630$	1.49917	−	4.05040i	0.0597284	−	0.161372i
$631$	2.17414			0.0865513			0.0432757	−	0.999063i	$-0.486221\pi$
$631$	2.17414			0.0865513			0.0432757	+	0.999063i	$0.486221\pi$
$632$	10.3817	+	17.9817i	0.412963	+	0.715273i
$633$	−0.653417	−	0.938586i	−0.0259710	−	0.0373055i
$634$	12.6274	−	21.8713i	0.501499	−	0.868621i
$635$	2.23697	−	3.87455i	0.0887715	−	0.153757i
$636$	12.3424	+	17.7289i	0.489407	+	0.702998i
$637$	−12.9368	−	22.4072i	−0.512574	−	0.887804i
$638$	−2.01223			−0.0796648
$639$	−1.62931	−	1.96327i	−0.0644543	−	0.0776659i
$640$	−6.10349			−0.241262
$641$	11.8478	+	20.5211i	0.467962	+	0.810533i	0.999330	−	0.0366079i	$-0.0116552\pi$
$641$	11.8478	+	20.5211i	0.467962	+	0.810533i	−0.531368	+	0.847141i	$0.678322\pi$
$642$	10.5732	−	0.896127i	0.417290	−	0.0353673i
$643$	7.41422	−	12.8418i	0.292388	−	0.506431i	−0.681986	−	0.731365i	$-0.738883\pi$
$643$	7.41422	−	12.8418i	0.292388	−	0.506431i	0.974374	+	0.224934i	$0.0722167\pi$
$644$	8.22068	−	14.2386i	0.323940	−	0.561081i
$645$	−2.51012	+	5.34506i	−0.0988360	+	0.210461i
$646$	−34.3350	−	59.4699i	−1.35089	−	2.33981i
$647$	−41.8879			−1.64678			−0.823391	−	0.567474i	$-0.807921\pi$
$647$	−41.8879			−1.64678			−0.823391	+	0.567474i	$0.807921\pi$
$648$	−3.17193	+	16.9132i	−0.124605	+	0.664415i
$649$	−38.3681			−1.50608
$650$	−28.5518	−	49.4531i	−1.11989	−	1.93971i
$651$	1.72150	−	3.66577i	0.0674711	−	0.143673i
$652$	−12.9667	+	22.4589i	−0.507814	+	0.879560i
$653$	15.9581	−	27.6402i	0.624489	−	1.08165i	−0.364151	−	0.931340i	$-0.618641\pi$
$653$	15.9581	−	27.6402i	0.624489	−	1.08165i	0.988639	−	0.150306i	$-0.0480260\pi$
$654$	−63.3728	+	5.37115i	−2.47807	+	0.210029i
$655$	−4.57958	−	7.93207i	−0.178939	−	0.309932i
$656$	−1.76021			−0.0687247
$657$	25.4128	+	30.6218i	0.991449	+	1.19467i
$658$	−38.6985			−1.50862
$659$	24.9846	+	43.2745i	0.973261	+	1.68574i	0.685559	+	0.728017i	$0.259558\pi$
$659$	24.9846	+	43.2745i	0.973261	+	1.68574i	0.287701	+	0.957720i	$0.407109\pi$
$660$	5.64286	+	8.10557i	0.219648	+	0.315509i
$661$	12.0174	−	20.8148i	0.467424	−	0.809602i	−0.531883	−	0.846818i	$-0.678516\pi$
$661$	12.0174	−	20.8148i	0.467424	−	0.809602i	0.999307	+	0.0372158i	$0.0118489\pi$
$662$	−5.09243	+	8.82035i	−0.197923	+	0.342813i
$663$	25.0857	+	36.0338i	0.974247	+	1.39944i
$664$	10.3132	+	17.8630i	0.400229	+	0.693218i
$665$	4.31599			0.167367
$666$	6.78020	−	18.3185i	0.262727	−	0.709827i
$667$	−0.781563			−0.0302622
$668$	35.4979	+	61.4842i	1.37345	+	2.37889i
$669$	−5.58267	+	0.473158i	−0.215838	+	0.0182934i
$670$	0.485745	−	0.841335i	0.0187660	−	0.0325036i
$671$	−26.3014	+	45.5554i	−1.01536	+	1.75865i
$672$	7.81967	−	16.6512i	0.301650	−	0.642334i
$673$	−5.65349	−	9.79213i	−0.217926	−	0.377459i	0.736248	−	0.676712i	$-0.236596\pi$
$673$	−5.65349	−	9.79213i	−0.217926	−	0.377459i	−0.954174	+	0.299253i	$0.903262\pi$
$674$	−37.4704			−1.44330
$675$	−17.5143	−	17.8018i	−0.674125	−	0.685192i
$676$	45.8887			1.76495
$677$	20.6541	+	35.7739i	0.793801	+	1.37490i	0.923598	+	0.383362i	$0.125234\pi$
$677$	20.6541	+	35.7739i	0.793801	+	1.37490i	−0.129797	+	0.991541i	$0.541433\pi$
$678$	−23.9011	+	50.8950i	−0.917915	+	1.95461i
$679$	11.4767	−	19.8783i	0.440436	−	0.762858i
$680$	1.98147	−	3.43201i	0.0759861	−	0.131612i
$681$	27.1603	−	2.30197i	1.04079	−	0.0882117i
$682$	7.86107	+	13.6158i	0.301016	+	0.521375i
$683$	10.5454			0.403510			0.201755	−	0.979436i	$-0.435336\pi$
$683$	10.5454			0.403510			0.201755	+	0.979436i	$0.435336\pi$
$684$	−56.0669	+	9.57265i	−2.14377	+	0.366020i
$685$	3.11856			0.119154
$686$	−19.2945	−	33.4191i	−0.736669	−	1.27595i
$687$	−19.7901	−	28.4271i	−0.755041	−	1.08456i
$688$	−5.86603	+	10.1603i	−0.223640	+	0.387356i
$689$	11.7159	−	20.2926i	0.446341	−	0.773085i
$690$	3.72082	+	5.34469i	0.141649	+	0.203469i
$691$	13.9053	+	24.0847i	0.528983	+	0.916226i	0.999429	+	0.0337966i	$0.0107599\pi$
$691$	13.9053	+	24.0847i	0.528983	+	0.916226i	−0.470446	+	0.882429i	$0.655907\pi$
$692$	16.8646			0.641094
$693$	−19.7939	+	3.37953i	−0.751908	+	0.128378i
$694$	45.7742			1.73756
$695$	3.59976	+	6.23496i	0.136547	+	0.236505i
$696$	0.666384	−	0.0564792i	0.0252592	−	0.00214084i
$697$	2.73347	−	4.73451i	0.103537	−	0.179332i
$698$	22.6846	−	39.2908i	0.858624	−	1.48718i
$699$	−3.14841	+	6.70422i	−0.119084	+	0.253577i
$700$	−10.2085	−	17.6816i	−0.385845	−	0.668303i
$701$	32.4804			1.22677			0.613385	−	0.789784i	$-0.289808\pi$
$701$	32.4804			1.22677			0.613385	+	0.789784i	$0.289808\pi$
$702$	59.7627	−	15.4930i	2.25560	−	0.584747i
$703$	19.5196			0.736197
$704$	28.8629	+	49.9921i	1.08781	+	1.88415i
$705$	3.83801	−	8.17267i	0.144548	−	0.307801i
$706$	16.9343	−	29.3311i	0.637332	−	1.10389i
$707$	4.09359	−	7.09030i	0.153955	−	0.266658i
$708$	42.0270	−	3.56199i	1.57947	−	0.133868i
$709$	4.78523	+	8.28826i	0.179713	+	0.311272i	0.941782	−	0.336223i	$-0.109150\pi$
$709$	4.78523	+	8.28826i	0.179713	+	0.311272i	−0.762069	+	0.647496i	$0.775816\pi$
$710$	0.826184			0.0310061
$711$	11.3085	−	30.5528i	0.424101	−	1.14582i
$712$	18.1859			0.681544
$713$	3.05330	+	5.28846i	0.114347	+	0.198055i
$714$	15.2267	+	21.8721i	0.569846	+	0.818543i
$715$	5.35645	−	9.27765i	0.200320	−	0.346964i
$716$	−9.48523	+	16.4289i	−0.354480	+	0.613977i
$717$	16.4544	+	23.6355i	0.614499	+	0.882685i
$718$	−19.0545	−	33.0034i	−0.711108	−	1.23167i
$719$	−0.588409			−0.0219439			−0.0109720	−	0.999940i	$-0.503493\pi$
$719$	−0.588409			−0.0219439			−0.0109720	+	0.999940i	$0.503493\pi$
$720$	1.27854	+	1.54060i	0.0476482	+	0.0574149i
$721$	0.807546			0.0300746
$722$	−27.2895	−	47.2668i	−1.01561	−	1.75909i
$723$	6.06449	−	0.513995i	0.225541	−	0.0191157i
$724$	−30.7220	+	53.2120i	−1.14177	+	1.97761i
$725$	−0.485275	+	0.840521i	−0.0180227	+	0.0312162i
$726$	15.2702	−	32.5163i	0.566729	−	1.20679i
$727$	−22.4251	−	38.8415i	−0.831702	−	1.44055i	−0.896688	−	0.442664i	$-0.854034\pi$
$727$	−22.4251	−	38.8415i	−0.831702	−	1.44055i	0.0649857	−	0.997886i	$-0.479300\pi$
$728$	15.2603			0.565585
$729$	23.5994	−	13.1175i	0.874051	−	0.485834i
$730$	−12.8863			−0.476942
$731$	−18.2190	−	31.5562i	−0.673853	−	1.16715i
$732$	24.5804	−	52.3415i	0.908518	−	1.93460i
$733$	−21.0009	+	36.3747i	−0.775688	+	1.34353i	0.158720	+	0.987324i	$0.449263\pi$
$733$	−21.0009	+	36.3747i	−0.775688	+	1.34353i	−0.934407	+	0.356207i	$0.884070\pi$
$734$	37.5372	−	65.0163i	1.38552	−	2.39979i
$735$	3.65114	−	0.309452i	0.134674	−	0.0114143i
$736$	13.8691	+	24.0220i	0.511223	+	0.885464i
$737$	−4.51681			−0.166379
$738$	−4.90929	−	5.91557i	−0.180713	−	0.217755i
$739$	31.2247			1.14862			0.574310	−	0.818638i	$-0.305270\pi$
$739$	31.2247			1.14862			0.574310	+	0.818638i	$0.305270\pi$
$740$	1.86296	+	3.22675i	0.0684839	+	0.118618i
$741$	35.2501	+	50.6343i	1.29495	+	1.86010i
$742$	7.11143	−	12.3174i	0.261069	−	0.452185i
$743$	−16.9628	+	29.3805i	−0.622306	+	1.07787i	0.366749	+	0.930320i	$0.380471\pi$
$743$	−16.9628	+	29.3805i	−0.622306	+	1.07787i	−0.989055	+	0.147546i	$0.952863\pi$
$744$	−2.98550	−	4.28846i	−0.109454	−	0.157223i
$745$	−0.999770	−	1.73165i	−0.0366287	−	0.0634429i
$746$	18.8686			0.690827
$747$	11.2338	−	30.3511i	0.411024	−	1.11049i
$748$	−60.9427			−2.22829
$749$	−2.05764	−	3.56393i	−0.0751845	−	0.130223i
$750$	16.4414	−	1.39349i	0.600357	−	0.0508831i
$751$	−19.4577	+	33.7018i	−0.710022	+	1.22979i	0.254826	+	0.966987i	$0.417982\pi$
$751$	−19.4577	+	33.7018i	−0.710022	+	1.22979i	−0.964848	+	0.262808i	$0.915351\pi$
$752$	8.96925	−	15.5352i	0.327075	−	0.566510i
$753$	−12.6071	+	26.8455i	−0.459428	+	0.978306i
$754$	−1.19969	−	2.07793i	−0.0436902	−	0.0756737i
$755$	3.91470			0.142471
$756$	21.3678	−	5.53943i	0.777138	−	0.201467i
$757$	−25.8845			−0.940789			−0.470394	−	0.882456i	$-0.655888\pi$
$757$	−25.8845			−0.940789			−0.470394	+	0.882456i	$0.655888\pi$
$758$	−20.8846	−	36.1731i	−0.758561	−	1.31387i
$759$	12.8705	−	27.4064i	0.467169	−	0.994790i
$760$	2.78434	−	4.82263i	0.100999	−	0.174935i
$761$	−7.24172	+	12.5430i	−0.262512	+	0.454685i	−0.966909	−	0.255122i	$-0.917884\pi$
$761$	−7.24172	+	12.5430i	−0.262512	+	0.454685i	0.704397	+	0.709807i	$0.251218\pi$
$762$	38.6806	−	3.27837i	1.40125	−	0.118763i
$763$	12.3330	+	21.3613i	0.446483	+	0.773331i
$764$	8.69512			0.314578
$765$	−6.12928	+	1.04649i	−0.221605	+	0.0378359i
$766$	−17.3849			−0.628144
$767$	−22.8751	−	39.6209i	−0.825974	−	1.43063i
$768$	−4.96302	−	7.12903i	−0.179088	−	0.257247i
$769$	4.53442	−	7.85384i	0.163515	−	0.283217i	−0.772612	−	0.634879i	$-0.781050\pi$
$769$	4.53442	−	7.85384i	0.163515	−	0.283217i	0.936127	+	0.351662i	$0.114383\pi$
$770$	3.25131	−	5.63143i	0.117169	−	0.202943i
$771$	22.4723	+	32.2798i	0.809319	+	1.16253i
$772$	23.6459	+	40.9559i	0.851035	+	1.47404i
$773$	−2.91258			−0.104758			−0.0523792	−	0.998627i	$-0.516680\pi$
$773$	−2.91258			−0.104758			−0.0523792	+	0.998627i	$0.516680\pi$
$774$	−50.5064	+	8.62326i	−1.81541	+	0.309957i
$775$	7.58321			0.272397
$776$	−14.8078	−	25.6478i	−0.531569	−	0.920704i
$777$	−7.54839	+	0.639762i	−0.270797	+	0.0229513i
$778$	13.0043	−	22.5241i	0.466227	−	0.807530i
$779$	3.84104	−	6.65287i	0.137619	−	0.238364i
$780$	−5.00595	+	10.6597i	−0.179242	+	0.381678i
$781$	−1.92061	−	3.32660i	−0.0687249	−	0.119035i
$782$	−40.1847			−1.43700
$783$	−0.735919	−	0.748000i	−0.0262996	−	0.0267313i
$784$	7.27996			0.259999
$785$	1.73623	+	3.00723i	0.0619686	+	0.107333i
$786$	33.7816	−	71.9346i	1.20495	−	2.56582i
$787$	−10.8226	+	18.7453i	−0.385784	+	0.668197i	−0.991878	−	0.127196i	$-0.959402\pi$
$787$	−10.8226	+	18.7453i	−0.385784	+	0.668197i	0.606094	+	0.795393i	$0.292736\pi$
$788$	1.76547	−	3.05788i	0.0628923	−	0.108933i
$789$	−24.3440	+	2.06327i	−0.866670	+	0.0734545i
$790$	5.27494	+	9.13647i	0.187674	+	0.325061i
$791$	21.8067			0.775358
$792$	−8.99325	+	24.2976i	−0.319561	+	0.863378i
$793$	−62.7239			−2.22739
$794$	17.3721	+	30.0894i	0.616513	+	1.06783i
$795$	1.89599	+	2.72346i	0.0672439	+	0.0965910i
$796$	17.2195	−	29.8250i	0.610329	−	1.05712i
$797$	−9.85889	+	17.0761i	−0.349220	+	0.604866i	−0.986111	−	0.166087i	$-0.946887\pi$
$797$	−9.85889	+	17.0761i	−0.349220	+	0.604866i	0.636891	+	0.770954i	$0.280220\pi$
$798$	21.3964	+	30.7344i	0.757425	+	1.08799i
$799$	27.8571	+	48.2499i	0.985512	+	1.70696i
$800$	34.4456			1.21783
$801$	−18.2225	−	21.9577i	−0.643860	−	0.775836i
$802$	−38.0813			−1.34470
$803$	29.9564	+	51.8861i	1.05714	+	1.83102i
$804$	4.94755	−	0.419328i	0.174486	−	0.0147886i
$805$	1.26283	−	2.18729i	0.0445089	−	0.0770917i
$806$	−9.37358	+	16.2355i	−0.330170	+	0.571872i
$807$	0.544298	−	1.15903i	0.0191602	−	0.0407998i
$808$	−5.28173	−	9.14823i	−0.185811	−	0.321834i
$809$	−0.568483			−0.0199868			−0.00999340	−	0.999950i	$-0.503181\pi$
$809$	−0.568483			−0.0199868			−0.00999340	+	0.999950i	$0.503181\pi$
$810$	−1.61165	+	8.59359i	−0.0566277	+	0.301948i
$811$	−4.22314			−0.148295			−0.0741473	−	0.997247i	$-0.523623\pi$
$811$	−4.22314			−0.148295			−0.0741473	+	0.997247i	$0.523623\pi$
$812$	−0.428943	−	0.742950i	−0.0150529	−	0.0260724i
$813$	−7.41242	+	15.7840i	−0.259965	+	0.553570i
$814$	14.7045	−	25.4689i	0.515391	−	0.892683i
$815$	−1.99189	+	3.45006i	−0.0697730	+	0.120850i
$816$	−12.3095	+	1.04329i	−0.430919	+	0.0365225i
$817$	−25.6011	−	44.3424i	−0.895668	−	1.55134i
$818$	3.48486			0.121845
$819$	−15.2910	−	18.4253i	−0.534312	−	0.643833i
$820$	1.46636			0.0512076
$821$	15.2106	+	26.3455i	0.530852	+	0.919463i	0.999352	+	0.0359990i	$0.0114613\pi$
$821$	15.2106	+	26.3455i	0.530852	+	0.919463i	−0.468500	+	0.883464i	$0.655205\pi$
$822$	15.4602	+	22.2074i	0.539235	+	0.774573i
$823$	6.98911	−	12.1055i	0.243625	−	0.421971i	−0.718119	−	0.695920i	$-0.754997\pi$
$823$	6.98911	−	12.1055i	0.243625	−	0.421971i	0.961744	+	0.273949i	$0.0883300\pi$
$824$	0.520966	−	0.902340i	0.0181487	−	0.0314345i
$825$	−21.4825	−	30.8581i	−0.747926	−	1.07434i
$826$	−13.8850	−	24.0495i	−0.483119	−	0.836787i
$827$	−39.4439			−1.37160			−0.685800	−	0.727790i	$-0.740548\pi$
$827$	−39.4439			−1.37160			−0.685800	+	0.727790i	$0.740548\pi$
$828$	−11.5535	+	31.2149i	−0.401513	+	1.08479i
$829$	−7.11427			−0.247089			−0.123544	−	0.992339i	$-0.539426\pi$
$829$	−7.11427			−0.247089			−0.123544	+	0.992339i	$0.539426\pi$
$830$	5.24012	+	9.07615i	0.181887	+	0.315038i
$831$	−5.43934	+	0.461010i	−0.188689	+	0.0159923i
$832$	−34.4163	+	59.6108i	−1.19317	+	2.06663i
$833$	−11.3052	+	19.5812i	−0.391702	+	0.678448i
$834$	−26.5538	+	56.5437i	−0.919484	+	1.95795i
$835$	5.45306	+	9.44497i	0.188711	+	0.326857i
$836$	−85.6360			−2.96178
$837$	−2.18638	+	7.90179i	−0.0755723	+	0.273126i
$838$	−31.5413			−1.08958
$839$	−13.7374	−	23.7938i	−0.474266	−	0.821453i	0.525300	−	0.850917i	$-0.323953\pi$
$839$	−13.7374	−	23.7938i	−0.474266	−	0.821453i	−0.999566	+	0.0294643i	$0.990620\pi$
$840$	−0.918664	+	1.95620i	−0.0316969	+	0.0674954i
$841$	14.4796	−	25.0794i	0.499297	−	0.864808i
$842$	1.13546	−	1.96668i	0.0391306	−	0.0677762i
$843$	5.37843	−	0.455848i	0.185243	−	0.0157002i
$844$	0.946411	+	1.63923i	0.0325768	+	0.0564247i
$845$	7.04926			0.242502
$846$	77.2249	−	13.1851i	2.65505	−	0.453313i
$847$	−13.9321			−0.478713
$848$	3.29647	+	5.70965i	0.113201	+	0.196070i
$849$	−26.5732	−	38.1705i	−0.911990	−	1.31001i
$850$	−24.9508	+	43.2161i	−0.855806	+	1.48230i
$851$	5.71131	−	9.89229i	0.195781	−	0.339103i
$852$	2.41260	+	3.46553i	0.0826544	+	0.118727i
$853$	−13.5078	−	23.3962i	−0.462498	−	0.801069i	0.536587	−	0.843845i	$-0.319713\pi$
$853$	−13.5078	−	23.3962i	−0.462498	−	0.801069i	−0.999085	+	0.0427755i	$0.986380\pi$
$854$	−38.0727			−1.30282
$855$	−8.61280	+	1.47052i	−0.294552	+	0.0502906i
$856$	−5.30972			−0.181482
$857$	19.7435	+	34.1967i	0.674423	+	1.16814i	0.976637	+	0.214895i	$0.0689411\pi$
$857$	19.7435	+	34.1967i	0.674423	+	1.16814i	−0.302214	+	0.953240i	$0.597726\pi$
$858$	92.6212	−	7.85009i	3.16203	−	0.267998i
$859$	−5.65747	+	9.79902i	−0.193030	+	0.334338i	−0.946253	−	0.323427i	$-0.895165\pi$
$859$	−5.65747	+	9.79902i	−0.193030	+	0.334338i	0.753223	+	0.657765i	$0.228498\pi$
$860$	4.88676	−	8.46412i	0.166637	−	0.288624i
$861$	−1.26731	+	2.69861i	−0.0431898	+	0.0919683i
$862$	12.1598	+	21.0615i	0.414166	+	0.717357i
$863$	17.5409			0.597098			0.298549	−	0.954394i	$-0.403497\pi$
$863$	17.5409			0.597098			0.298549	+	0.954394i	$0.403497\pi$
$864$	−9.93129	+	35.8927i	−0.337869	+	1.22109i
$865$	2.59067			0.0880855
$866$	−9.75479	−	16.8958i	−0.331481	−	0.574142i
$867$	3.79323	−	8.07730i	0.128825	−	0.274319i
$868$	−3.35146	+	5.80490i	−0.113756	+	0.197031i
$869$	24.5251	−	42.4787i	0.831957	−	1.44099i
$870$	0.338589	−	0.0286970i	0.0114792	−	0.000972920i
$871$	−2.69293	−	4.66429i	−0.0912464	−	0.158043i
$872$	31.8251			1.07773
$873$	−16.1296	+	43.5785i	−0.545906	+	1.47491i
$874$	−56.4671			−1.91003
$875$	−3.19966	−	5.54198i	−0.108168	−	0.187353i
$876$	−37.6302	−	54.0530i	−1.27141	−	1.82628i
$877$	−1.74039	+	3.01445i	−0.0587688	+	0.101791i	−0.893913	−	0.448241i	$-0.852051\pi$
$877$	−1.74039	+	3.01445i	−0.0587688	+	0.101791i	0.835144	+	0.550031i	$0.185384\pi$
$878$	−15.7348	+	27.2536i	−0.531025	+	0.919763i
$879$	−21.7391	−	31.2267i	−0.733242	−	1.05325i
$880$	1.50713	+	2.61042i	0.0508053	+	0.0879973i
$881$	41.2697			1.39041			0.695205	−	0.718811i	$-0.255313\pi$
$881$	41.2697			1.39041			0.695205	+	0.718811i	$0.255313\pi$
$882$	20.3041	+	24.4659i	0.683674	+	0.823810i
$883$	35.2463			1.18613			0.593066	−	0.805154i	$-0.297917\pi$
$883$	35.2463			1.18613			0.593066	+	0.805154i	$0.297917\pi$
$884$	−36.3342	−	62.9327i	−1.22205	−	2.11665i
$885$	6.45604	−	0.547180i	0.217017	−	0.0183933i
$886$	−26.5447	+	45.9768i	−0.891788	+	1.54462i
$887$	1.21319	−	2.10131i	0.0407349	−	0.0705550i	−0.844939	−	0.534862i	$-0.820363\pi$
$887$	1.21319	−	2.10131i	0.0407349	−	0.0705550i	0.885674	+	0.464308i	$0.153697\pi$
$888$	−4.15478	+	8.84718i	−0.139425	+	0.296892i
$889$	−7.52762	−	13.0382i	−0.252468	−	0.437288i
$890$	9.24022			0.309733
$891$	38.3483	−	13.4881i	1.28472	−	0.451868i
$892$	9.27297			0.310482
$893$	39.1444	+	67.8001i	1.30992	+	2.26885i
$894$	7.37487	−	15.7041i	0.246653	−	0.525222i
$895$	−1.45709	+	2.52375i	−0.0487050	+	0.0843596i
$896$	−10.2694	+	17.7871i	−0.343077	+	0.594227i
$897$	35.9747	−	3.04903i	1.20116	−	0.101804i
$898$	−17.6505	−	30.5716i	−0.589005	−	1.02019i
$899$	0.318633			0.0106270
$900$	26.3960	+	31.8065i	0.879866	+	1.06022i
$901$	−20.4766			−0.682176
$902$	−5.78703	−	10.0234i	−0.192687	−	0.333744i
$903$	11.3535	+	16.3084i	0.377820	+	0.542711i
$904$	14.0680	−	24.3665i	0.467895	−	0.810418i
$905$	−4.71940	+	8.17424i	−0.156878	+	0.271721i
$906$	19.4070	+	27.8768i	0.644756	+	0.926146i
$907$	3.17043	+	5.49135i	0.105273	+	0.182337i	0.913850	−	0.406053i	$-0.133095\pi$
$907$	3.17043	+	5.49135i	0.105273	+	0.182337i	−0.808577	+	0.588390i	$0.799762\pi$
$908$	−45.1141			−1.49716
$909$	−5.75322	+	15.5438i	−0.190822	+	0.515556i
$910$	7.75374			0.257034
$911$	−12.6445	−	21.9009i	−0.418930	−	0.725609i	0.576902	−	0.816813i	$-0.304262\pi$
$911$	−12.6445	−	21.9009i	−0.418930	−	0.725609i	−0.995832	+	0.0912049i	$0.970928\pi$
$912$	−17.2972	+	1.46602i	−0.572768	+	0.0485448i
$913$	24.3632	−	42.1983i	0.806304	−	1.39656i
$914$	−33.4371	+	57.9147i	−1.10600	+	1.91565i
$915$	3.77595	−	8.04051i	0.124829	−	0.265811i
$916$	28.6641	+	49.6477i	0.947089	+	1.64041i
$917$	−30.8215			−1.01781
$918$	−37.8379	−	38.4591i	−1.24884	−	1.26934i
$919$	−39.7347			−1.31073			−0.655364	−	0.755313i	$-0.727485\pi$
$919$	−39.7347			−1.31073			−0.655364	+	0.755313i	$0.727485\pi$
$920$	−1.62936	−	2.82214i	−0.0537185	−	0.0930431i
$921$	−19.0064	+	40.4722i	−0.626282	+	1.33360i
$922$	22.7457	−	39.3967i	0.749090	−	1.29746i
$923$	2.29015	−	3.96665i	0.0753811	−	0.130564i
$924$	33.1161	−	2.80675i	1.08944	−	0.0923353i
$925$	−7.09235	−	12.2843i	−0.233195	−	0.403906i
$926$	57.4333			1.88738
$927$	−1.61150	+	0.275142i	−0.0529287	+	0.00903684i
$928$	1.44734			0.0475113
$929$	−1.78782	−	3.09660i	−0.0586565	−	0.101596i	0.835206	−	0.549937i	$-0.185348\pi$
$929$	−1.78782	−	3.09660i	−0.0586565	−	0.101596i	−0.893863	+	0.448341i	$0.852015\pi$
$930$	−1.51693	−	2.17896i	−0.0497421	−	0.0714509i
$931$	−15.8859	+	27.5153i	−0.520641	+	0.901776i
$932$	6.12939	−	10.6164i	0.200775	−	0.347752i
$933$	15.1164	+	21.7136i	0.494889	+	0.710872i
$934$	−34.0245	−	58.9322i	−1.11332	−	1.92832i
$935$	−9.36180			−0.306164
$936$	−30.4528	+	5.19939i	−0.995380	+	0.169947i
$937$	−28.6645			−0.936427			−0.468213	−	0.883615i	$-0.655102\pi$
$937$	−28.6645			−0.936427			−0.468213	+	0.883615i	$0.655102\pi$
$938$	−1.63458	−	2.83117i	−0.0533709	−	0.0924411i
$939$	−33.5982	+	2.84761i	−1.09644	+	0.0929283i
$940$	−7.47193	+	12.9418i	−0.243707	+	0.422114i
$941$	17.3001	−	29.9647i	0.563968	−	0.976821i	−0.433177	−	0.901309i	$-0.642608\pi$
$941$	17.3001	−	29.9647i	0.563968	−	0.976821i	0.997145	−	0.0755121i	$-0.0240592\pi$
$942$	−12.8074	+	27.2721i	−0.417287	+	0.888572i
$943$	−2.24772	−	3.89317i	−0.0731960	−	0.126779i
$944$	12.8726			0.418968
$945$	3.28244	−	0.850947i	0.106778	−	0.0276813i
$946$	−77.1428			−2.50813
$947$	6.58727	+	11.4095i	0.214057	+	0.370758i	0.952981	−	0.303031i	$-0.0979987\pi$
$947$	6.58727	+	11.4095i	0.214057	+	0.370758i	−0.738923	+	0.673790i	$0.764665\pi$
$948$	−22.9203	+	48.8065i	−0.744416	+	1.58516i
$949$	−35.7202	+	61.8692i	−1.15953	+	2.00836i
$950$	−35.0606	+	60.7268i	−1.13752	+	1.97024i
$951$	19.7576	−	1.67455i	0.640683	−	0.0543010i
$952$	−6.66785	−	11.5490i	−0.216106	−	0.374307i
$953$	−12.1070			−0.392184			−0.196092	−	0.980586i	$-0.562825\pi$
$953$	−12.1070			−0.392184			−0.196092	+	0.980586i	$0.562825\pi$
$954$	−9.99457	+	27.0029i	−0.323586	+	0.874252i
$955$	1.33571			0.0432226
$956$	−23.8326	−	41.2792i	−0.770800	−	1.33506i
$957$	−0.902657	−	1.29660i	−0.0291788	−	0.0419132i
$958$	13.8078	−	23.9158i	0.446110	−	0.772684i
$959$	5.24711	−	9.08827i	0.169438	−	0.293476i
$960$	−5.56960	−	8.00033i	−0.179758	−	0.258210i
$961$	14.2552	+	24.6908i	0.459846	+	0.796476i
$962$	35.0673			1.13062
$963$	5.32041	+	6.41096i	0.171448	+	0.206590i
$964$	−10.0733			−0.324439
$965$	3.63240	+	6.29150i	0.116931	+	0.202531i
$966$	21.8363	−	1.85073i	0.702570	−	0.0595462i
$967$	5.66022	−	9.80378i	0.182020	−	0.315268i	−0.760548	−	0.649282i	$-0.775070\pi$
$967$	5.66022	−	9.80378i	0.182020	−	0.315268i	0.942568	+	0.334013i	$0.108403\pi$
$968$	−8.98791	+	15.5675i	−0.288882	+	0.500359i
$969$	22.9180	−	48.8016i	0.736231	−	1.56773i
$970$	−7.52382	−	13.0316i	−0.241575	−	0.418421i
$971$	0.163890			0.00525947			0.00262973	−	0.999997i	$-0.499163\pi$
$971$	0.163890			0.00525947			0.00262973	+	0.999997i	$0.499163\pi$
$972$	−40.7532	+	18.3345i	−1.30716	+	0.588080i
$973$	24.2270			0.776683
$974$	−29.0027	−	50.2342i	−0.929307	−	1.60961i
$975$	19.0578	−	40.5817i	0.610338	−	1.29965i
$976$	8.82421	−	15.2840i	0.282456	−	0.489228i
$977$	17.1608	−	29.7234i	0.549023	−	0.950936i	−0.449318	−	0.893372i	$-0.648333\pi$
$977$	17.1608	−	29.7234i	0.549023	−	0.950936i	0.998342	−	0.0575648i	$-0.0183336\pi$
$978$	−34.4429	+	2.91920i	−1.10136	+	0.0933457i
$979$	−21.4805	−	37.2054i	−0.686521	−	1.18909i
$980$	−6.06465			−0.193728
$981$	−31.8892	−	38.4257i	−1.01814	−	1.22684i
$982$	4.74291			0.151352
$983$	14.0173	+	24.2786i	0.447081	+	0.774367i	0.998195	−	0.0600630i	$-0.0191302\pi$
$983$	14.0173	+	24.2786i	0.447081	+	0.774367i	−0.551113	+	0.834430i	$0.685797\pi$
$984$	2.19782	+	3.15701i	0.0700638	+	0.100642i
$985$	0.271205	−	0.469741i	0.00864131	−	0.0149672i
$986$	−1.04839	+	1.81586i	−0.0333875	+	0.0578288i
$987$	−17.3596	−	24.9359i	−0.552563	−	0.793717i
$988$	−51.0564	−	88.4323i	−1.62432	−	2.81340i
$989$	−29.9628			−0.952762
$990$	−4.56946	+	12.3456i	−0.145227	+	0.392369i
$991$	−57.3865			−1.82294			−0.911471	−	0.411364i	$-0.865052\pi$
$991$	−57.3865			−1.82294			−0.911471	+	0.411364i	$0.865052\pi$
$992$	−5.65426	−	9.79346i	−0.179523	−	0.310943i
$993$	−7.96790	+	0.675318i	−0.252854	+	0.0214306i
$994$	1.39009	−	2.40771i	0.0440911	−	0.0763680i
$995$	2.64520	−	4.58162i	0.0838584	−	0.145247i
$996$	−22.7690	+	48.4843i	−0.721463	+	1.53628i
$997$	−4.19138	−	7.25968i	−0.132742	−	0.229916i	0.791990	−	0.610534i	$-0.209045\pi$
$997$	−4.19138	−	7.25968i	−0.132742	−	0.229916i	−0.924733	+	0.380617i	$0.875712\pi$
$998$	57.6023			1.82337
$999$	14.8452	−	3.84852i	0.469683	−	0.121762i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	603.2.e.b.202.4	✓	66
9.4	even	3		5427.2.a.n.1.30		33
9.5	odd	6		5427.2.a.q.1.4		33
9.7	even	3	inner	603.2.e.b.403.4	yes	66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
603.2.e.b.202.4	✓	66	1.1	even	1	trivial
603.2.e.b.403.4	yes	66	9.7	even	3	inner
5427.2.a.n.1.30		33	9.4	even	3
5427.2.a.q.1.4		33	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:	\( N \)	\(=\)	\( 603 = 3^{2} \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	603.e (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.10303 - 1.91051i) q^{2} +(0.736253 - 1.56778i) q^{3} +(-1.43335 + 2.48264i) q^{4} +(-0.220187 + 0.381374i) q^{5} +(-3.80736 + 0.322692i) q^{6} +(0.740949 + 1.28336i) q^{7} +1.91201 q^{8} +(-1.91586 - 2.30857i) q^{9} +O(q^{10})\)	\(q+(-1.10303 - 1.91051i) q^{2} +(0.736253 - 1.56778i) q^{3} +(-1.43335 + 2.48264i) q^{4} +(-0.220187 + 0.381374i) q^{5} +(-3.80736 + 0.322692i) q^{6} +(0.740949 + 1.28336i) q^{7} +1.91201 q^{8} +(-1.91586 - 2.30857i) q^{9} +0.971490 q^{10} +(-2.25840 - 3.91167i) q^{11} +(2.83692 + 4.07504i) q^{12} +(2.69293 - 4.66429i) q^{13} +(1.63458 - 2.83117i) q^{14} +(0.435798 + 0.625992i) q^{15} +(0.757701 + 1.31238i) q^{16} -4.70660 q^{17} +(-2.29727 + 6.20668i) q^{18} -6.61366 q^{19} +(-0.631211 - 1.09329i) q^{20} +(2.55755 - 0.216765i) q^{21} +(-4.98218 + 8.62938i) q^{22} +(-1.93511 + 3.35171i) q^{23} +(1.40772 - 2.99761i) q^{24} +(2.40304 + 4.16218i) q^{25} -11.8815 q^{26} +(-5.02988 + 1.30396i) q^{27} -4.24817 q^{28} +(0.100971 + 0.174887i) q^{29} +(0.715263 - 1.52308i) q^{30} +(0.788920 - 1.36645i) q^{31} +(3.58355 - 6.20688i) q^{32} +(-7.79539 + 0.660697i) q^{33} +(5.19152 + 8.99198i) q^{34} -0.652588 q^{35} +(8.47745 - 1.44741i) q^{36} -2.95141 q^{37} +(7.29507 + 12.6354i) q^{38} +(-5.32990 - 7.65602i) q^{39} +(-0.420999 + 0.729192i) q^{40} +(-0.580774 + 1.00593i) q^{41} +(-3.23519 - 4.64712i) q^{42} +(3.87094 + 6.70467i) q^{43} +12.9484 q^{44} +(1.30227 - 0.222345i) q^{45} +8.53795 q^{46} +(-5.91873 - 10.2515i) q^{47} +(2.61538 - 0.221666i) q^{48} +(2.40199 - 4.16037i) q^{49} +(5.30124 - 9.18203i) q^{50} +(-3.46525 + 7.37891i) q^{51} +(7.71984 + 13.3712i) q^{52} +4.35062 q^{53} +(8.03933 + 8.17131i) q^{54} +1.98908 q^{55} +(1.41670 + 2.45380i) q^{56} +(-4.86933 + 10.3688i) q^{57} +(0.222749 - 0.385812i) q^{58} +(4.24726 - 7.35647i) q^{59} +(-2.17877 + 0.184661i) q^{60} +(-5.82302 - 10.0858i) q^{61} -3.48081 q^{62} +(1.54317 - 4.16927i) q^{63} -12.7802 q^{64} +(1.18589 + 2.05403i) q^{65} +(9.86082 + 14.1644i) q^{66} +(0.500000 - 0.866025i) q^{67} +(6.74622 - 11.6848i) q^{68} +(3.83001 + 5.50154i) q^{69} +(0.719824 + 1.24677i) q^{70} +0.850430 q^{71} +(-3.66315 - 4.41400i) q^{72} -13.2644 q^{73} +(3.25550 + 5.63869i) q^{74} +(8.29462 - 0.703009i) q^{75} +(9.47971 - 16.4193i) q^{76} +(3.34672 - 5.79669i) q^{77} +(-8.74782 + 18.6276i) q^{78} +(5.42974 + 9.40459i) q^{79} -0.667342 q^{80} +(-1.65895 + 8.84578i) q^{81} +2.56245 q^{82} +(5.39390 + 9.34250i) q^{83} +(-3.12773 + 6.66019i) q^{84} +(1.03633 - 1.79498i) q^{85} +(8.53954 - 14.7909i) q^{86} +(0.348525 - 0.0295392i) q^{87} +(-4.31809 - 7.47915i) q^{88} +9.51138 q^{89} +(-1.86124 - 2.24275i) q^{90} +7.98129 q^{91} +(-5.54740 - 9.60838i) q^{92} +(-1.56145 - 2.24290i) q^{93} +(-13.0571 + 22.6155i) q^{94} +(1.45624 - 2.52228i) q^{95} +(-7.09262 - 10.1880i) q^{96} +(-7.74462 - 13.4141i) q^{97} -10.5979 q^{98} +(-4.70355 + 12.7079i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 66 q + 7 q^{2} - 33 q^{4} + 18 q^{5} - 3 q^{6} - 48 q^{8} + 4 q^{9}+O(q^{10}) \) 66 * q + 7 * q^2 - 33 * q^4 + 18 * q^5 - 3 * q^6 - 48 * q^8 + 4 * q^9	\( 66 q + 7 q^{2} - 33 q^{4} + 18 q^{5} - 3 q^{6} - 48 q^{8} + 4 q^{9} + 12 q^{11} + q^{12} + 9 q^{14} + 3 q^{15} - 33 q^{16} - 62 q^{17} + 7 q^{18} + 43 q^{20} + 17 q^{21} + 19 q^{23} - 17 q^{24} - 33 q^{25} - 28 q^{26} - 3 q^{27} + 54 q^{28} + 25 q^{29} + 24 q^{30} + 45 q^{32} - 32 q^{33} - 6 q^{34} - 50 q^{35} + 53 q^{36} - 24 q^{37} + 34 q^{38} + 19 q^{39} - 6 q^{40} + 34 q^{41} - 107 q^{42} - 98 q^{44} + 9 q^{45} + 12 q^{46} + 26 q^{47} + 49 q^{48} - 33 q^{49} + 39 q^{50} - 50 q^{51} + 9 q^{52} - 104 q^{53} + 70 q^{54} + 60 q^{55} + 16 q^{56} + 6 q^{57} + 3 q^{58} + 21 q^{59} - 161 q^{60} - 54 q^{62} + q^{63} - 12 q^{64} + 52 q^{65} + 52 q^{66} + 33 q^{67} + 98 q^{68} + 2 q^{69} - 6 q^{70} - 62 q^{71} + 66 q^{72} + 27 q^{74} + 21 q^{75} - 6 q^{76} + 85 q^{77} - 107 q^{78} - 172 q^{80} + 72 q^{81} + 102 q^{82} + 71 q^{83} - 54 q^{84} - 27 q^{85} + 9 q^{86} + 3 q^{87} - 12 q^{88} - 82 q^{89} + 153 q^{90} - 60 q^{91} + 67 q^{92} - 47 q^{93} + 15 q^{94} + 58 q^{95} - 136 q^{96} - 12 q^{97} - 172 q^{98} + 96 q^{99}+O(q^{100}) \) 66 * q + 7 * q^2 - 33 * q^4 + 18 * q^5 - 3 * q^6 - 48 * q^8 + 4 * q^9 + 12 * q^11 + q^12 + 9 * q^14 + 3 * q^15 - 33 * q^16 - 62 * q^17 + 7 * q^18 + 43 * q^20 + 17 * q^21 + 19 * q^23 - 17 * q^24 - 33 * q^25 - 28 * q^26 - 3 * q^27 + 54 * q^28 + 25 * q^29 + 24 * q^30 + 45 * q^32 - 32 * q^33 - 6 * q^34 - 50 * q^35 + 53 * q^36 - 24 * q^37 + 34 * q^38 + 19 * q^39 - 6 * q^40 + 34 * q^41 - 107 * q^42 - 98 * q^44 + 9 * q^45 + 12 * q^46 + 26 * q^47 + 49 * q^48 - 33 * q^49 + 39 * q^50 - 50 * q^51 + 9 * q^52 - 104 * q^53 + 70 * q^54 + 60 * q^55 + 16 * q^56 + 6 * q^57 + 3 * q^58 + 21 * q^59 - 161 * q^60 - 54 * q^62 + q^63 - 12 * q^64 + 52 * q^65 + 52 * q^66 + 33 * q^67 + 98 * q^68 + 2 * q^69 - 6 * q^70 - 62 * q^71 + 66 * q^72 + 27 * q^74 + 21 * q^75 - 6 * q^76 + 85 * q^77 - 107 * q^78 - 172 * q^80 + 72 * q^81 + 102 * q^82 + 71 * q^83 - 54 * q^84 - 27 * q^85 + 9 * q^86 + 3 * q^87 - 12 * q^88 - 82 * q^89 + 153 * q^90 - 60 * q^91 + 67 * q^92 - 47 * q^93 + 15 * q^94 + 58 * q^95 - 136 * q^96 - 12 * q^97 - 172 * q^98 + 96 * q^99

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