LMFDB - Embedded newform 644.2.be.a.215.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [644,2,Mod(3,644)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(644, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 11, 48]))

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

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

chi := DirichletCharacter("644.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 644 = 2^{2} \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	644.be (of order $66$, degree $20$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.14236589017$
Analytic rank:	$0$
Dimension:	$1840$
Relative dimension:	$92$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			215.15
Character	$\chi$	$=$	644.215
Dual form			644.2.be.a.3.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.24384 + 0.672947i) q^{2} +(-0.949023 + 1.33272i) q^{3} +(1.09428 - 1.67408i) q^{4} +(0.651971 + 3.38275i) q^{5} +(0.283586 - 2.29633i) q^{6} +(0.689441 - 2.55434i) q^{7} +(-0.234547 + 2.81869i) q^{8} +(0.105716 + 0.305446i) q^{9} +O(q^{10})$	\(q+(-1.24384 + 0.672947i) q^{2} +(-0.949023 + 1.33272i) q^{3} +(1.09428 - 1.67408i) q^{4} +(0.651971 + 3.38275i) q^{5} +(0.283586 - 2.29633i) q^{6} +(0.689441 - 2.55434i) q^{7} +(-0.234547 + 2.81869i) q^{8} +(0.105716 + 0.305446i) q^{9} +(-3.08736 - 3.76886i) q^{10} +(-3.43486 - 4.36778i) q^{11} +(1.19257 + 3.04711i) q^{12} +(-2.16733 - 3.37243i) q^{13} +(0.861384 + 3.64116i) q^{14} +(-5.12698 - 2.34141i) q^{15} +(-1.60509 - 3.66384i) q^{16} +(-3.31610 + 3.47783i) q^{17} +(-0.337043 - 0.308785i) q^{18} +(-4.31941 + 4.11855i) q^{19} +(6.37643 + 2.61023i) q^{20} +(2.74992 + 3.34296i) q^{21} +(7.21171 + 3.12135i) q^{22} +(4.22435 - 2.27043i) q^{23} +(-3.53392 - 2.98758i) q^{24} +(-6.37607 + 2.55259i) q^{25} +(4.96528 + 2.73627i) q^{26} +(-5.21684 - 1.53180i) q^{27} +(-3.52173 - 3.94936i) q^{28} +(0.241846 - 0.0710123i) q^{29} +(7.95279 - 0.537841i) q^{30} +(-5.77285 + 0.551241i) q^{31} +(4.46204 + 3.47709i) q^{32} +(9.08077 - 0.432570i) q^{33} +(1.78431 - 6.55743i) q^{34} +(9.09019 + 0.666846i) q^{35} +(0.627024 + 0.157268i) q^{36} +(-2.45250 - 7.08604i) q^{37} +(2.60110 - 8.02957i) q^{38} +(6.55134 + 0.312079i) q^{39} +(-9.68782 + 1.04429i) q^{40} +(-3.65865 + 3.17024i) q^{41} +(-5.67010 - 2.30756i) q^{42} +(-0.538681 + 0.246007i) q^{43} +(-11.0707 + 0.970642i) q^{44} +(-0.964323 + 0.556752i) q^{45} +(-3.72655 + 5.66682i) q^{46} +(0.0686439 - 0.118895i) q^{47} +(6.40612 + 1.33794i) q^{48} +(-6.04934 - 3.52214i) q^{49} +(6.21306 - 7.46578i) q^{50} +(-1.48790 - 7.71996i) q^{51} +(-8.01739 - 0.0621118i) q^{52} +(0.258823 - 5.43336i) q^{53} +(7.51974 - 1.60534i) q^{54} +(12.5357 - 14.4669i) q^{55} +(7.03818 + 2.54243i) q^{56} +(-1.38964 - 9.66516i) q^{57} +(-0.253030 + 0.251078i) q^{58} +(-4.06587 - 2.09610i) q^{59} +(-9.53008 + 6.02080i) q^{60} +(-0.975104 + 0.694368i) q^{61} +(6.80956 - 4.57048i) q^{62} +(0.853099 - 0.0594477i) q^{63} +(-7.88998 - 1.32223i) q^{64} +(9.99504 - 9.53025i) q^{65} +(-11.0039 + 6.64893i) q^{66} +(2.24996 + 5.62012i) q^{67} +(2.19341 + 9.35714i) q^{68} +(-0.983170 + 7.78455i) q^{69} +(-11.7555 + 5.28777i) q^{70} +(6.44292 + 0.926352i) q^{71} +(-0.885752 + 0.226338i) q^{72} +(15.4290 - 3.74303i) q^{73} +(7.81906 + 7.16351i) q^{74} +(2.64915 - 10.9200i) q^{75} +(2.16812 + 11.7379i) q^{76} +(-13.5249 + 5.76249i) q^{77} +(-8.35884 + 4.02053i) q^{78} +(-3.45834 + 0.164741i) q^{79} +(11.3474 - 7.81832i) q^{80} +(6.23014 - 4.89944i) q^{81} +(2.41738 - 6.40536i) q^{82} +(-2.70143 + 3.11762i) q^{83} +(8.60557 - 0.945440i) q^{84} +(-13.9266 - 8.95008i) q^{85} +(0.504484 - 0.668498i) q^{86} +(-0.134878 + 0.389704i) q^{87} +(13.1170 - 8.65734i) q^{88} +(0.0334635 - 0.350446i) q^{89} +(0.824800 - 1.34145i) q^{90} +(-10.1086 + 3.21101i) q^{91} +(0.821760 - 9.55640i) q^{92} +(4.74392 - 8.21671i) q^{93} +(-0.00537223 + 0.194080i) q^{94} +(-16.7482 - 11.9263i) q^{95} +(-8.86856 + 2.64680i) q^{96} +(5.48928 - 4.75649i) q^{97} +(9.89464 + 0.310092i) q^{98} +(0.971002 - 1.51091i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1840 q - 7 q^{2} - 11 q^{4} - 54 q^{5} - 40 q^{8} + 66 q^{9}+O(q^{10}) $ 1840 * q - 7 * q^2 - 11 * q^4 - 54 * q^5 - 40 * q^8 + 66 * q^9	$ 1840 q - 7 q^{2} - 11 q^{4} - 54 q^{5} - 40 q^{8} + 66 q^{9} - 27 q^{10} - 27 q^{12} - 14 q^{14} - 19 q^{16} - 54 q^{17} - q^{18} - 40 q^{21} - 56 q^{22} - 78 q^{24} - 94 q^{25} - 9 q^{26} + 12 q^{28} - 120 q^{29} - 19 q^{30} + 3 q^{32} - 54 q^{33} - 114 q^{36} - 2 q^{37} - 87 q^{38} - 57 q^{40} - 114 q^{42} + 72 q^{44} - 132 q^{45} - 9 q^{46} - 20 q^{49} - 186 q^{50} + 3 q^{52} - 34 q^{53} - 51 q^{54} - 93 q^{56} - 64 q^{57} + 22 q^{58} - 11 q^{60} - 54 q^{61} - 8 q^{64} - 46 q^{65} + 150 q^{66} - 30 q^{68} - 10 q^{70} + 43 q^{72} - 54 q^{73} + 6 q^{74} - 16 q^{77} - 212 q^{78} + 216 q^{80} - 58 q^{81} - 57 q^{82} - 102 q^{84} + 152 q^{85} + 3 q^{86} + 144 q^{88} - 174 q^{89} - 250 q^{92} - 64 q^{93} + 216 q^{94} - 69 q^{96} - 44 q^{98}+O(q^{100}) $ 1840 * q - 7 * q^2 - 11 * q^4 - 54 * q^5 - 40 * q^8 + 66 * q^9 - 27 * q^10 - 27 * q^12 - 14 * q^14 - 19 * q^16 - 54 * q^17 - q^18 - 40 * q^21 - 56 * q^22 - 78 * q^24 - 94 * q^25 - 9 * q^26 + 12 * q^28 - 120 * q^29 - 19 * q^30 + 3 * q^32 - 54 * q^33 - 114 * q^36 - 2 * q^37 - 87 * q^38 - 57 * q^40 - 114 * q^42 + 72 * q^44 - 132 * q^45 - 9 * q^46 - 20 * q^49 - 186 * q^50 + 3 * q^52 - 34 * q^53 - 51 * q^54 - 93 * q^56 - 64 * q^57 + 22 * q^58 - 11 * q^60 - 54 * q^61 - 8 * q^64 - 46 * q^65 + 150 * q^66 - 30 * q^68 - 10 * q^70 + 43 * q^72 - 54 * q^73 + 6 * q^74 - 16 * q^77 - 212 * q^78 + 216 * q^80 - 58 * q^81 - 57 * q^82 - 102 * q^84 + 152 * q^85 + 3 * q^86 + 144 * q^88 - 174 * q^89 - 250 * q^92 - 64 * q^93 + 216 * q^94 - 69 * q^96 - 44 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/644\mathbb{Z}\right)^\times$.

$n$	$185$	$281$	$323$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{11}\right)$	$-1$

Coefficient data

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

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

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

$2$	−1.24384	+	0.672947i	−0.879529	+	0.475846i
$2$	−1.24384	+	0.672947i	−0.879529	+	0.475846i
$3$	−0.949023	+	1.33272i	−0.547919	+	0.769444i	−0.991959	−	0.126563i	$-0.959605\pi$
$3$	−0.949023	+	1.33272i	−0.547919	+	0.769444i	0.444040	+	0.896007i	$0.353545\pi$
$4$	1.09428	−	1.67408i	0.547142	−	0.837040i
$5$	0.651971	+	3.38275i	0.291570	+	1.51281i	0.771912	+	0.635729i	$0.219300\pi$
$5$	0.651971	+	3.38275i	0.291570	+	1.51281i	−0.480342	+	0.877081i	$0.659487\pi$
$6$	0.283586	−	2.29633i	0.115774	−	0.937473i
$7$	0.689441	−	2.55434i	0.260584	−	0.965451i
$7$	0.689441	−	2.55434i	0.260584	−	0.965451i
$8$	−0.234547	+	2.81869i	−0.0829250	+	0.996556i
$9$	0.105716	+	0.305446i	0.0352386	+	0.101815i
$10$	−3.08736	−	3.76886i	−0.976309	−	1.19182i
$11$	−3.43486	−	4.36778i	−1.03565	−	1.31694i	−0.947126	−	0.320861i	$-0.896028\pi$
$11$	−3.43486	−	4.36778i	−1.03565	−	1.31694i	−0.0885230	−	0.996074i	$-0.528215\pi$
$12$	1.19257	+	3.04711i	0.344266	+	0.879625i
$13$	−2.16733	−	3.37243i	−0.601109	−	0.935344i	−0.999833	−	0.0182730i	$-0.994183\pi$
$13$	−2.16733	−	3.37243i	−0.601109	−	0.935344i	0.398724	−	0.917071i	$-0.369453\pi$
$14$	0.861384	+	3.64116i	0.230215	+	0.973140i
$15$	−5.12698	−	2.34141i	−1.32378	−	0.604550i
$16$	−1.60509	−	3.66384i	−0.401272	−	0.915959i
$17$	−3.31610	+	3.47783i	−0.804272	+	0.843497i	−0.990285	−	0.139051i	$-0.955595\pi$
$17$	−3.31610	+	3.47783i	−0.804272	+	0.843497i	0.186013	+	0.982547i	$0.440443\pi$
$18$	−0.337043	−	0.308785i	−0.0794418	−	0.0727814i
$19$	−4.31941	+	4.11855i	−0.990942	+	0.944861i	−0.998480	−	0.0551106i	$-0.982449\pi$
$19$	−4.31941	+	4.11855i	−0.990942	+	0.944861i	0.00753859	+	0.999972i	$0.497600\pi$
$20$	6.37643	+	2.61023i	1.42581	+	0.583666i
$21$	2.74992	+	3.34296i	0.600082	+	0.729494i
$22$	7.21171	+	3.12135i	1.53754	+	0.665473i
$23$	4.22435	−	2.27043i	0.880838	−	0.473417i
$23$	4.22435	−	2.27043i	0.880838	−	0.473417i
$24$	−3.53392	−	2.98758i	−0.721358	−	0.609838i
$25$	−6.37607	+	2.55259i	−1.27521	+	0.510518i
$26$	4.96528	+	2.73627i	0.973772	+	0.536627i
$27$	−5.21684	−	1.53180i	−1.00398	−	0.294795i
$28$	−3.52173	−	3.94936i	−0.665545	−	0.746358i
$29$	0.241846	−	0.0710123i	0.0449096	−	0.0131867i	−0.259201	−	0.965824i	$-0.583459\pi$
$29$	0.241846	−	0.0710123i	0.0449096	−	0.0131867i	0.304110	+	0.952637i	$0.401641\pi$
$30$	7.95279	−	0.537841i	1.45197	−	0.0981958i
$31$	−5.77285	+	0.551241i	−1.03683	+	0.0990057i	−0.599566	−	0.800325i	$-0.704660\pi$
$31$	−5.77285	+	0.551241i	−1.03683	+	0.0990057i	−0.437269	+	0.899331i	$0.644054\pi$
$32$	4.46204	+	3.47709i	0.788785	+	0.614669i
$33$	9.08077	−	0.432570i	1.58076	−	0.0753009i
$34$	1.78431	−	6.55743i	0.306006	−	1.12459i
$35$	9.09019	+	0.666846i	1.53652	+	0.112718i
$36$	0.627024	+	0.157268i	0.104504	+	0.0262113i
$37$	−2.45250	−	7.08604i	−0.403189	−	1.16494i	−0.945743	−	0.324917i	$-0.894664\pi$
$37$	−2.45250	−	7.08604i	−0.403189	−	1.16494i	0.542554	−	0.840021i	$-0.317458\pi$
$38$	2.60110	−	8.02957i	0.421954	−	1.30257i
$39$	6.55134	+	0.312079i	1.04905	+	0.0499726i
$40$	−9.68782	+	1.04429i	−1.53178	+	0.165116i
$41$	−3.65865	+	3.17024i	−0.571386	+	0.495108i	−0.891960	−	0.452115i	$-0.850670\pi$
$41$	−3.65865	+	3.17024i	−0.571386	+	0.495108i	0.320574	+	0.947223i	$0.396124\pi$
$42$	−5.67010	−	2.30756i	−0.874916	−	0.356064i
$43$	−0.538681	+	0.246007i	−0.0821481	+	0.0375158i	−0.456065	−	0.889946i	$-0.650742\pi$
$43$	−0.538681	+	0.246007i	−0.0821481	+	0.0375158i	0.373917	+	0.927462i	$0.378014\pi$
$44$	−11.0707	+	0.970642i	−1.66897	+	0.146330i
$45$	−0.964323	+	0.556752i	−0.143753	+	0.0829957i
$46$	−3.72655	+	5.66682i	−0.549449	+	0.835527i
$47$	0.0686439	−	0.118895i	0.0100127	−	0.0173426i	−0.860976	−	0.508646i	$-0.830146\pi$
$47$	0.0686439	−	0.118895i	0.0100127	−	0.0173426i	0.870988	+	0.491304i	$0.163479\pi$
$48$	6.40612	+	1.33794i	0.924644	+	0.193115i
$49$	−6.04934	−	3.52214i	−0.864192	−	0.503163i
$50$	6.21306	−	7.46578i	0.878659	−	1.05582i
$51$	−1.48790	−	7.71996i	−0.208348	−	1.08101i
$52$	−8.01739	−	0.0621118i	−1.11181	−	0.00861335i
$53$	0.258823	−	5.43336i	0.0355521	−	0.746330i	−0.908768	−	0.417302i	$-0.862976\pi$
$53$	0.258823	−	5.43336i	0.0355521	−	0.746330i	0.944320	−	0.329028i	$-0.106721\pi$
$54$	7.51974	−	1.60534i	1.02331	−	0.218459i
$55$	12.5357	−	14.4669i	1.69031	−	1.95072i
$56$	7.03818	+	2.54243i	0.940517	+	0.339747i
$57$	−1.38964	−	9.66516i	−0.184062	−	1.28018i
$58$	−0.253030	+	0.251078i	−0.0332245	+	0.0329681i
$59$	−4.06587	−	2.09610i	−0.529331	−	0.272889i	0.172775	−	0.984961i	$-0.444727\pi$
$59$	−4.06587	−	2.09610i	−0.529331	−	0.272889i	−0.702106	+	0.712072i	$0.747757\pi$
$60$	−9.53008	+	6.02080i	−1.23033	+	0.777282i
$61$	−0.975104	+	0.694368i	−0.124849	+	0.0889047i	−0.640776	−	0.767728i	$-0.721387\pi$
$61$	−0.975104	+	0.694368i	−0.124849	+	0.0889047i	0.515926	+	0.856633i	$0.327448\pi$
$62$	6.80956	−	4.57048i	0.864815	−	0.580452i
$63$	0.853099	−	0.0594477i	0.107480	−	0.00748971i
$64$	−7.88998	−	1.32223i	−0.986247	−	0.165279i
$65$	9.99504	−	9.53025i	1.23973	−	1.18208i
$66$	−11.0039	+	6.64893i	−1.35449	+	0.818427i
$67$	2.24996	+	5.62012i	0.274876	+	0.686607i	0.999998	−	0.00201341i	$-0.000640890\pi$
$67$	2.24996	+	5.62012i	0.274876	+	0.686607i	−0.725122	+	0.688620i	$0.758217\pi$
$68$	2.19341	+	9.35714i	0.265989	+	1.13472i
$69$	−0.983170	+	7.78455i	−0.118360	+	0.937150i
$70$	−11.7555	+	5.28777i	−1.40505	+	0.632009i
$71$	6.44292	+	0.926352i	0.764634	+	0.109938i	0.513588	−	0.858037i	$-0.328316\pi$
$71$	6.44292	+	0.926352i	0.764634	+	0.109938i	0.251047	+	0.967975i	$0.419225\pi$
$72$	−0.885752	+	0.226338i	−0.104387	+	0.0266742i
$73$	15.4290	−	3.74303i	1.80583	−	0.438089i	0.815724	−	0.578441i	$-0.196339\pi$
$73$	15.4290	−	3.74303i	1.80583	−	0.438089i	0.990102	+	0.140352i	$0.0448234\pi$
$74$	7.81906	+	7.16351i	0.908947	+	0.832741i
$75$	2.64915	−	10.9200i	0.305898	−	1.26093i
$76$	2.16812	+	11.7379i	0.248701	+	1.34643i
$77$	−13.5249	+	5.76249i	−1.54131	+	0.656696i
$78$	−8.35884	+	4.02053i	−0.946452	+	0.455235i
$79$	−3.45834	+	0.164741i	−0.389094	+	0.0185348i	−0.241218	−	0.970471i	$-0.577547\pi$
$79$	−3.45834	+	0.164741i	−0.389094	+	0.0185348i	−0.147876	+	0.989006i	$0.547244\pi$
$80$	11.3474	−	7.81832i	1.26867	−	0.874115i
$81$	6.23014	−	4.89944i	0.692238	−	0.544382i
$82$	2.41738	−	6.40536i	0.266955	−	0.707353i
$83$	−2.70143	+	3.11762i	−0.296520	+	0.342203i	−0.884386	−	0.466756i	$-0.845423\pi$
$83$	−2.70143	+	3.11762i	−0.296520	+	0.342203i	0.587866	+	0.808958i	$0.299968\pi$
$84$	8.60557	−	0.945440i	0.938945	−	0.103156i
$85$	−13.9266	−	8.95008i	−1.51055	−	0.970773i
$86$	0.504484	−	0.668498i	0.0543999	−	0.0720860i
$87$	−0.134878	+	0.389704i	−0.0144604	+	0.0417807i
$88$	13.1170	−	8.65734i	1.39828	−	0.922875i
$89$	0.0334635	−	0.350446i	0.00354713	−	0.0371472i	−0.993525	−	0.113613i	$-0.963758\pi$
$89$	0.0334635	−	0.350446i	0.00354713	−	0.0371472i	0.997072	+	0.0764659i	$0.0243636\pi$
$90$	0.824800	−	1.34145i	0.0869416	−	0.141401i
$91$	−10.1086	+	3.21101i	−1.05967	+	0.336606i
$92$	0.821760	−	9.55640i	0.0856744	−	0.996323i
$93$	4.74392	−	8.21671i	0.491922	−	0.852033i
$94$	−0.00537223	+	0.194080i	−0.000554103	+	0.0200178i
$95$	−16.7482	−	11.9263i	−1.71832	−	1.22361i
$96$	−8.86856	+	2.64680i	−0.905143	+	0.270138i
$97$	5.48928	−	4.75649i	0.557352	−	0.482948i	−0.330038	−	0.943968i	$-0.607062\pi$
$97$	5.48928	−	4.75649i	0.557352	−	0.482948i	0.887390	+	0.461019i	$0.152516\pi$
$98$	9.89464	+	0.310092i	0.999509	+	0.0313240i
$99$	0.971002	−	1.51091i	0.0975894	−	0.151852i
$100$	−2.70398	+	13.4673i	−0.270398	+	1.34673i
$101$	−3.31381	+	17.1937i	−0.329736	+	1.71083i	0.317260	+	0.948339i	$0.397237\pi$
$101$	−3.31381	+	17.1937i	−0.329736	+	1.71083i	−0.646995	+	0.762494i	$0.723975\pi$
$102$	7.04584	+	8.60112i	0.697642	+	0.851638i
$103$	−16.7218	−	6.69438i	−1.64764	−	0.659617i	−0.652476	−	0.757809i	$-0.726270\pi$
$103$	−16.7218	−	6.69438i	−1.64764	−	0.659617i	−0.995167	+	0.0981926i	$0.968694\pi$
$104$	10.0142	−	5.31803i	0.981969	−	0.521475i
$105$	−9.51552	+	11.4818i	−0.928619	+	1.12051i
$106$	3.33443	+	6.93242i	0.323869	+	0.673336i
$107$	−7.00163	+	4.98584i	−0.676873	+	0.481999i	−0.866059	−	0.499942i	$-0.833355\pi$
$107$	−7.00163	+	4.98584i	−0.676873	+	0.481999i	0.189186	+	0.981941i	$0.439415\pi$
$108$	−8.27306	+	7.05718i	−0.796075	+	0.679077i
$109$	3.87534	+	3.69513i	0.371191	+	0.353930i	0.852598	−	0.522567i	$-0.175026\pi$
$109$	3.87534	+	3.69513i	0.371191	+	0.353930i	−0.481407	+	0.876497i	$0.659874\pi$
$110$	−5.85690	+	26.4304i	−0.558433	+	2.52004i
$111$	11.7712	+	3.45633i	1.11727	+	0.328060i
$112$	−10.4653	+	1.57395i	−0.988879	+	0.148724i
$113$	0.793277	−	5.51736i	0.0746252	−	0.519030i	−0.917883	−	0.396851i	$-0.870103\pi$
$113$	0.793277	−	5.51736i	0.0746252	−	0.519030i	0.992508	−	0.122179i	$-0.0389881\pi$
$114$	8.23263	+	11.0868i	0.771057	+	1.03837i
$115$	10.4344	+	12.8097i	0.973016	+	1.19451i
$116$	0.145767	−	0.482577i	0.0135342	−	0.0448061i
$117$	0.800975	−	1.01852i	0.0740501	−	0.0941624i
$118$	6.46786	−	0.128899i	0.595415	−	0.0118661i
$119$	6.59731	+	10.8682i	0.604774	+	0.996288i
$120$	7.80222	−	13.9022i	0.712242	−	1.26909i
$121$	−4.68589	+	19.3155i	−0.425990	+	1.75595i
$122$	0.745601	−	1.51988i	0.0675035	−	0.137603i
$123$	−0.752886	−	7.88458i	−0.0678854	−	0.710928i
$124$	−5.39432	+	10.2674i	−0.484424	+	0.922042i
$125$	−3.47924	−	5.41380i	−0.311193	−	0.484225i
$126$	−1.02111	+	0.648035i	−0.0909682	+	0.0577315i
$127$	16.4109	−	2.35953i	1.45623	−	0.209375i	0.631711	−	0.775204i	$-0.282353\pi$
$127$	16.4109	−	2.35953i	1.45623	−	0.209375i	0.824522	+	0.565829i	$0.191444\pi$
$128$	10.7037	−	3.66489i	0.946080	−	0.323934i
$129$	0.183363	−	0.951376i	0.0161442	−	0.0837640i
$130$	−6.01889	+	18.5803i	−0.527891	+	1.62960i
$131$	−14.9676	+	7.71635i	−1.30773	+	0.674181i	−0.964254	−	0.264981i	$-0.914634\pi$
$131$	−14.9676	+	7.71635i	−1.30773	+	0.674181i	−0.343474	+	0.939162i	$0.611604\pi$
$132$	9.21278	−	15.6753i	0.801870	−	1.36436i
$133$	7.54222	+	13.8728i	0.653993	+	1.20292i
$134$	−6.58064	−	5.47644i	−0.568480	−	0.473092i
$135$	1.78047	−	18.6459i	0.153239	−	1.60479i
$136$	−9.02511	−	10.1628i	−0.773897	−	0.871449i
$137$	5.66375	+	9.80990i	0.483887	+	0.838116i	0.999829	−	0.0185074i	$-0.00589141\pi$
$137$	5.66375	+	9.80990i	0.483887	+	0.838116i	−0.515942	+	0.856623i	$0.672558\pi$
$138$	−4.01569	−	10.3444i	−0.341838	−	0.880571i
$139$	−1.31706			−0.111712			−0.0558559	−	0.998439i	$-0.517789\pi$
$139$	−1.31706			−0.111712			−0.0558559	+	0.998439i	$0.517789\pi$
$140$	11.0636	−	14.4880i	0.935045	−	1.22446i
$141$	0.0933083	+	0.204317i	0.00785798	+	0.0172066i
$142$	−8.63736	+	3.18351i	−0.724831	+	0.267154i
$143$	−7.28556	+	21.0502i	−0.609249	+	1.76031i
$144$	0.949421	−	0.877594i	0.0791184	−	0.0731328i
$145$	0.397893	+	0.771805i	0.0330432	+	0.0640949i
$146$	−16.6723	+	15.0386i	−1.37981	+	1.24461i
$147$	10.4350	−	4.71947i	0.860662	−	0.389255i
$148$	−14.5463	−	3.64845i	−1.19570	−	0.299901i
$149$	−5.03564	−	2.01597i	−0.412535	−	0.165154i	0.156105	−	0.987740i	$-0.450106\pi$
$149$	−5.03564	−	2.01597i	−0.412535	−	0.165154i	−0.568640	+	0.822586i	$0.692530\pi$
$150$	4.05343	+	15.3654i	0.330961	+	1.25458i
$151$	−6.79822	+	13.1867i	−0.553232	+	1.07312i	0.431997	+	0.901875i	$0.357809\pi$
$151$	−6.79822	+	13.1867i	−0.553232	+	1.07312i	−0.985229	+	0.171244i	$0.945221\pi$
$152$	−10.5958	−	13.1411i	−0.859433	−	1.06588i
$153$	−1.41285	−	0.645228i	−0.114222	−	0.0521636i
$154$	12.9450	−	16.2692i	1.04314	−	1.31101i
$155$	−5.62844	−	19.1687i	−0.452087	−	1.53967i
$156$	7.69147	−	10.6260i	0.615810	−	0.850758i
$157$	−5.30651	+	1.28735i	−0.423506	+	0.102741i	−0.441847	−	0.897090i	$-0.645677\pi$
$157$	−5.30651	+	1.28735i	−0.423506	+	0.102741i	0.0183413	+	0.999832i	$0.494161\pi$
$158$	4.19077	−	2.53219i	0.333400	−	0.201451i
$159$	6.99550	+	5.50132i	0.554779	+	0.436283i
$160$	−8.85300	+	17.3609i	−0.699891	+	1.37250i
$161$	−2.88701	−	12.3558i	−0.227529	−	0.973771i
$162$	−4.45225	+	10.2867i	−0.349802	+	0.808198i
$163$	−6.00746	+	7.63910i	−0.470540	+	0.598341i	−0.962165	−	0.272466i	$-0.912161\pi$
$163$	−6.00746	+	7.63910i	−0.470540	+	0.598341i	0.491625	+	0.870807i	$0.336403\pi$
$164$	1.30363	+	9.59402i	0.101797	+	0.749167i
$165$	7.38368	+	30.4359i	0.574818	+	2.36943i
$166$	1.26216	−	5.69574i	0.0979625	−	0.442075i
$167$	11.4328	−	3.35696i	0.884694	−	0.259770i	0.192341	−	0.981328i	$-0.438392\pi$
$167$	11.4328	−	3.35696i	0.884694	−	0.259770i	0.692354	+	0.721558i	$0.256574\pi$
$168$	−10.0677	+	6.96708i	−0.776743	+	0.537522i
$169$	−1.27558	+	2.79312i	−0.0981213	+	0.214856i
$170$	23.3454	+	1.76061i	1.79051	+	0.135033i
$171$	−1.71463	−	0.883952i	−0.131121	−	0.0675975i
$172$	−0.177634	+	1.17100i	−0.0135444	+	0.0892877i
$173$	5.61425	−	14.0237i	0.426844	−	1.06620i	−0.546624	−	0.837378i	$-0.684087\pi$
$173$	5.61425	−	14.0237i	0.426844	−	1.06620i	0.973467	−	0.228826i	$-0.0734886\pi$
$174$	−0.0944836	−	0.575496i	−0.00716279	−	0.0436282i
$175$	2.12428	+	18.0465i	0.160580	+	1.36419i
$176$	−10.4896	+	19.5954i	−0.790682	+	1.47706i
$177$	6.65211	−	3.42940i	0.500003	−	0.257770i
$178$	0.194208	+	0.458418i	0.0145565	+	0.0343599i
$179$	−7.66458	−	2.65274i	−0.572878	−	0.198275i	0.0252423	−	0.999681i	$-0.491964\pi$
$179$	−7.66458	−	2.65274i	−0.572878	−	0.198275i	−0.598120	+	0.801406i	$0.704085\pi$
$180$	−0.123195	+	2.22360i	−0.00918241	+	0.165737i
$181$	−8.65077	+	3.95068i	−0.643007	+	0.293651i	−0.710106	−	0.704095i	$-0.751353\pi$
$181$	−8.65077	+	3.95068i	−0.643007	+	0.293651i	0.0670989	+	0.997746i	$0.478626\pi$
$182$	10.4126	−	10.7965i	0.771837	−	0.800293i
$183$		−	1.95851i		−	0.144777i
$184$	5.40881	+	12.4396i	0.398743	+	0.917063i
$185$	22.3713	−	12.9161i	1.64477	−	0.949610i
$186$	−0.371270	+	13.4127i	−0.0272229	+	0.983467i
$187$	26.5807	+	2.53815i	1.94377	+	0.185608i
$188$	−0.123923	−	0.245020i	−0.00903804	−	0.0178699i
$189$	−7.50945	+	12.2695i	−0.546232	+	0.892476i
$190$	28.8578	+	3.56381i	2.09357	+	0.258546i
$191$	−0.400515	−	0.776891i	−0.0289803	−	0.0562139i	0.873901	−	0.486104i	$-0.161582\pi$
$191$	−0.400515	−	0.776891i	−0.0289803	−	0.0562139i	−0.902881	+	0.429890i	$0.858552\pi$
$192$	9.24992	−	9.26027i	0.667556	−	0.668303i
$193$	−21.2699	−	4.09944i	−1.53104	−	0.295084i	−0.646998	−	0.762491i	$-0.723976\pi$
$193$	−21.2699	−	4.09944i	−1.53104	−	0.295084i	−0.884042	+	0.467408i	$0.845188\pi$
$194$	−3.62693	+	9.61032i	−0.260398	+	0.689980i
$195$	3.21560	+	22.3650i	0.230274	+	1.60159i
$196$	−12.5160	+	6.27287i	−0.894003	+	0.448062i
$197$	−21.0232	+	13.5108i	−1.49784	+	0.962602i	−0.502664	+	0.864482i	$0.667647\pi$
$197$	−21.0232	+	13.5108i	−1.49784	+	0.962602i	−0.995175	+	0.0981200i	$0.968717\pi$
$198$	−0.191010	+	2.53276i	−0.0135745	+	0.179996i
$199$	−8.55467	+	0.816872i	−0.606424	+	0.0579065i	−0.393751	−	0.919217i	$-0.628823\pi$
$199$	−8.55467	+	0.816872i	−0.606424	+	0.0579065i	−0.212673	+	0.977123i	$0.568217\pi$
$200$	−5.69947	−	18.5708i	−0.403013	−	1.31316i
$201$	−9.62529	−	2.33507i	−0.678915	−	0.164703i
$202$	−7.44858	−	23.6162i	−0.524080	−	1.66163i
$203$	−0.0146515	−	0.666716i	−0.00102833	−	0.0467943i
$204$	−14.5520	−	5.95696i	−1.01884	−	0.417070i
$205$	−13.1095	−	10.3094i	−0.915604	−	0.720039i
$206$	25.3042	−	2.92611i	1.76303	−	0.203872i
$207$	1.14007	+	1.05029i	0.0792407	+	0.0730003i
$208$	−8.87728	+	13.3538i	−0.615529	+	0.925919i
$209$	32.8255	+	4.71960i	2.27059	+	0.326461i
$210$	4.10915	−	20.6850i	0.283558	−	1.42740i
$211$	0.104038	−	0.354322i	0.00716230	−	0.0243926i	−0.955834	−	0.293906i	$-0.905045\pi$
$211$	0.104038	−	0.354322i	0.00716230	−	0.0243926i	0.962997	+	0.269514i	$0.0868629\pi$
$212$	−8.81266	−	6.37893i	−0.605256	−	0.438107i
$213$	−7.34905	+	7.70746i	−0.503548	+	0.528106i
$214$	5.35371	−	10.9133i	0.365972	−	0.746019i
$215$	−1.18339	−	1.66183i	−0.0807062	−	0.113336i
$216$	5.54126	−	14.3453i	0.377035	−	0.976077i
$217$	−2.57198	+	15.1259i	−0.174598	+	1.02681i
$218$	−7.30694	−	1.98826i	−0.494889	−	0.134662i
$219$	−9.65406	+	24.1147i	−0.652361	+	1.62952i
$220$	−10.5012	−	36.8166i	−0.707992	−	2.48218i
$221$	18.9158	+	3.64572i	1.27242	+	0.245238i
$222$	−16.9674	+	3.62225i	−1.13878	+	0.243110i
$223$	6.96062	+	4.47332i	0.466118	+	0.299556i	0.752538	−	0.658548i	$-0.228829\pi$
$223$	6.96062	+	4.47332i	0.466118	+	0.299556i	−0.286421	+	0.958104i	$0.592466\pi$
$224$	11.9580	−	9.00034i	0.798978	−	0.601361i
$225$	−1.45373	−	1.67770i	−0.0969154	−	0.111846i
$226$	2.72618	+	7.39656i	0.181343	+	0.492012i
$227$	0.156503	−	0.219777i	0.0103874	−	0.0145871i	−0.809350	−	0.587327i	$-0.800180\pi$
$227$	0.156503	−	0.219777i	0.0103874	−	0.0145871i	0.819737	+	0.572740i	$0.194120\pi$
$228$	−17.7009	−	8.25005i	−1.17227	−	0.546373i
$229$	11.1261	+	6.42364i	0.735231	+	0.424486i	0.820333	−	0.571886i	$-0.193788\pi$
$229$	11.1261	+	6.42364i	0.735231	+	0.424486i	−0.0851016	+	0.996372i	$0.527121\pi$
$230$	−21.5990	−	8.91136i	−1.42420	−	0.587597i
$231$	5.15572	−	23.4936i	0.339222	−	1.54577i
$232$	0.143437	+	0.698343i	0.00941711	+	0.0458484i
$233$	−12.3705	−	1.18124i	−0.810421	−	0.0773858i	−0.318386	−	0.947961i	$-0.603141\pi$
$233$	−12.3705	−	1.18124i	−0.810421	−	0.0773858i	−0.492035	+	0.870575i	$0.663747\pi$
$234$	−0.310874	+	1.80589i	−0.0203224	+	0.118055i
$235$	0.446945	+	0.154689i	0.0291554	+	0.0100908i
$236$	−7.95825	+	4.51286i	−0.518038	+	0.293762i
$237$	3.06249	−	4.76533i	0.198930	−	0.309542i
$238$	−15.5197	−	9.07870i	−1.00600	−	0.588484i
$239$	5.30650	+	4.59811i	0.343249	+	0.297427i	0.809376	−	0.587291i	$-0.199806\pi$
$239$	5.30650	+	4.59811i	0.343249	+	0.297427i	−0.466127	+	0.884718i	$0.654351\pi$
$240$	−0.349301	+	22.5426i	−0.0225473	+	1.45512i
$241$	−6.91051	−	8.78743i	−0.445145	−	0.566048i	0.510760	−	0.859723i	$-0.329364\pi$
$241$	−6.91051	−	8.78743i	−0.445145	−	0.566048i	−0.955905	+	0.293675i	$0.905122\pi$
$242$	−7.16981	−	27.1788i	−0.460893	−	1.74712i
$243$	−0.159107	−	3.34006i	−0.0102067	−	0.214265i
$244$	0.0953881	+	2.39224i	0.00610660	+	0.153147i
$245$	7.97050	−	22.7597i	0.509217	−	1.45407i
$246$	6.24238	+	9.30051i	0.397999	+	0.592979i
$247$	23.2511	+	5.64066i	1.47943	+	0.358907i
$248$	−0.199767	−	16.4011i	−0.0126852	−	1.04147i
$249$	−1.59118	−	6.55893i	−0.100837	−	0.415655i
$250$	7.97082	+	4.39257i	0.504119	+	0.277810i
$251$	0.0539240	−	0.375050i	0.00340365	−	0.0236729i	−0.988049	−	0.154141i	$-0.950739\pi$
$251$	0.0539240	−	0.375050i	0.00340365	−	0.0236729i	0.991452	+	0.130468i	$0.0416480\pi$
$252$	0.834012	−	1.49321i	0.0525378	−	0.0940633i
$253$	−24.4268	−	10.6524i	−1.53570	−	0.669713i
$254$	−18.8247	+	13.9786i	−1.18117	+	0.877093i
$255$	25.1446	−	10.0664i	1.57462	−	0.630381i
$256$	−10.8474	+	11.7616i	−0.677962	+	0.735097i
$257$	−2.94630	−	3.08999i	−0.183785	−	0.192748i	0.625396	−	0.780308i	$-0.284937\pi$
$257$	−2.94630	−	3.08999i	−0.183785	−	0.192748i	−0.809181	+	0.587559i	$0.800089\pi$
$258$	0.412152	+	1.30675i	0.0256595	+	0.0813550i
$259$	−19.7910	+	1.37913i	−1.22976	+	0.0856948i
$260$	−5.01700	−	27.1613i	−0.311141	−	1.68447i
$261$	0.0472574	+	0.0663637i	0.00292516	+	0.00410781i
$262$	13.4247	−	19.6703i	0.829378	−	1.21524i
$263$	−9.49285	+	18.4136i	−0.585354	+	1.13543i	0.391230	+	0.920293i	$0.372050\pi$
$263$	−9.49285	+	18.4136i	−0.585354	+	1.13543i	−0.976584	+	0.215136i	$0.930981\pi$
$264$	−0.910590	+	25.6973i	−0.0560429	+	1.58156i
$265$	18.5484	−	2.66686i	1.13942	−	0.163824i
$266$	−18.7170	−	12.1800i	−1.14761	−	0.746804i
$267$	0.435287	+	0.377179i	0.0266392	+	0.0230830i
$268$	11.8706	+	2.38340i	0.725114	+	0.145589i
$269$	−2.08104	−	0.0991319i	−0.126883	−	0.00604418i	−0.0159556	−	0.999873i	$-0.505079\pi$
$269$	−2.08104	−	0.0991319i	−0.126883	−	0.00604418i	−0.110927	+	0.993829i	$0.535382\pi$
$270$	10.3331	+	24.3907i	0.628853	+	1.48437i
$271$	21.8612	−	4.21341i	1.32798	−	0.255946i	0.524565	−	0.851371i	$-0.324228\pi$
$271$	21.8612	−	4.21341i	1.32798	−	0.255946i	0.803412	+	0.595424i	$0.203016\pi$
$272$	18.0648	+	6.56743i	1.09534	+	0.398209i
$273$	5.31392	−	16.5192i	0.321613	−	0.999788i
$274$	−13.6463	−	8.39055i	−0.824406	−	0.506892i
$275$	33.0501	+	19.0815i	1.99299	+	1.15066i
$276$	11.9561	+	10.1644i	0.719672	+	0.611826i
$277$	−10.9581	−	18.9799i	−0.658406	−	1.14039i	−0.981028	−	0.193865i	$-0.937898\pi$
$277$	−10.9581	−	18.9799i	−0.658406	−	1.14039i	0.322622	−	0.946528i	$-0.395436\pi$
$278$	1.63822	−	0.886314i	0.0982537	−	0.0531576i
$279$	−0.778657	−	1.70502i	−0.0466170	−	0.102077i
$280$	−4.01171	+	25.4660i	−0.239745	+	1.52188i
$281$	1.68845	+	1.94857i	0.100724	+	0.116242i	0.803874	−	0.594800i	$-0.202769\pi$
$281$	1.68845	+	1.94857i	0.100724	+	0.116242i	−0.703149	+	0.711042i	$0.748223\pi$
$282$	−0.253555	−	0.191346i	−0.0150990	−	0.0113945i
$283$	0.470147	−	9.86960i	0.0279473	−	0.586687i	−0.940849	−	0.338827i	$-0.889970\pi$
$283$	0.470147	−	9.86960i	0.0279473	−	0.586687i	0.968796	−	0.247860i	$-0.0797272\pi$
$284$	8.60117	−	9.77227i	0.510386	−	0.579878i
$285$	31.7888	−	11.0022i	1.88300	−	0.651714i
$286$	−5.10363	−	31.0860i	−0.301784	−	1.83815i
$287$	5.57546	+	11.5311i	0.329109	+	0.680662i
$288$	−0.590355	+	1.73050i	−0.0347870	+	0.101971i
$289$	−0.289859	−	6.08489i	−0.0170505	−	0.357935i
$290$	−1.01430	−	0.692242i	−0.0595617	−	0.0406498i
$291$	1.12960	+	11.8297i	0.0662181	+	0.693468i
$292$	10.6175	−	29.9253i	0.621345	−	1.75125i
$293$	−0.141859	−	0.483126i	−0.00828747	−	0.0282245i	0.955245	−	0.295814i	$-0.0955910\pi$
$293$	−0.141859	−	0.483126i	−0.00828747	−	0.0282245i	−0.963533	+	0.267590i	$0.913773\pi$
$294$	−9.80350	+	12.8925i	−0.571752	+	0.751903i
$295$	4.43975	−	15.1204i	0.258492	−	0.880344i
$296$	20.5485	−	5.25082i	1.19436	−	0.305198i
$297$	11.2285	+	28.0475i	0.651546	+	1.62748i
$298$	7.62017	−	0.881178i	0.441425	−	0.0510453i
$299$	−16.8124	−	9.32557i	−0.972288	−	0.539312i
$300$	−15.3820	−	16.3844i	−0.888078	−	0.945955i
$301$	0.256999	+	1.54558i	0.0148132	+	0.0890860i
$302$	−0.418053	−	20.9770i	−0.0240563	−	1.20709i
$303$	−19.7694	−	20.7335i	−1.13572	−	1.19111i
$304$	22.0227	+	9.21499i	1.26309	+	0.528516i
$305$	−2.98461	−	2.84582i	−0.170898	−	0.162951i
$306$	2.19157	−	0.148214i	0.125284	−	0.00847283i
$307$	−0.693689	+	1.51897i	−0.0395909	+	0.0866920i	−0.928394	−	0.371597i	$-0.878810\pi$
$307$	−0.693689	+	1.51897i	−0.0395909	+	0.0866920i	0.888803	+	0.458289i	$0.151538\pi$
$308$	−5.15326	+	28.9476i	−0.293634	+	1.64944i
$309$	24.7910	−	15.9322i	1.41031	−	0.906353i
$310$	19.9004	+	20.0552i	1.13027	+	1.13906i
$311$	−0.237768	+	0.186983i	−0.0134826	+	0.0106028i	−0.624878	−	0.780723i	$-0.714851\pi$
$311$	−0.237768	+	0.186983i	−0.0134826	+	0.0106028i	0.611395	+	0.791326i	$0.290609\pi$
$312$	−2.41625	+	18.3930i	−0.136793	+	1.04130i
$313$	8.36591	−	2.89547i	0.472869	−	0.163662i	−0.0802310	−	0.996776i	$-0.525566\pi$
$313$	8.36591	−	2.89547i	0.472869	−	0.163662i	0.553100	+	0.833115i	$0.313445\pi$
$314$	5.73414	−	5.17226i	0.323597	−	0.291887i
$315$	0.757292	+	2.84706i	0.0426686	+	0.160414i
$316$	−3.50862	+	5.96982i	−0.197375	+	0.335828i
$317$	17.8559	−	3.44145i	1.00289	−	0.193291i	0.338731	−	0.940883i	$-0.390002\pi$
$317$	17.8559	−	3.44145i	1.00289	−	0.193291i	0.664158	+	0.747592i	$0.268790\pi$
$318$	−12.4034	−	2.13517i	−0.695548	−	0.119734i
$319$	−1.14087	−	0.812411i	−0.0638766	−	0.0454863i
$320$	−0.671267	−	27.5518i	−0.0375250	−	1.54019i
$321$		−	14.0629i		−	0.784912i
$322$	11.9058	+	13.4258i	0.663483	+	0.748192i
$323$		−	28.6797i		−	1.59578i
$324$	−1.38451	−	15.7911i	−0.0769173	−	0.877285i
$325$	22.4275	+	15.9705i	1.24405	+	0.885886i
$326$	2.33161	−	13.5445i	0.129136	−	0.750162i
$327$	−8.60235	+	1.65797i	−0.475711	+	0.0916858i
$328$	−8.07778	−	11.0562i	−0.446021	−	0.610474i
$329$	−0.256372	−	0.257311i	−0.0141343	−	0.0141860i
$330$	−29.6659	−	32.8886i	−1.63305	−	1.81046i
$331$	−22.3543	+	7.73690i	−1.22870	+	0.425258i	−0.862872	−	0.505423i	$-0.831337\pi$
$331$	−22.3543	+	7.73690i	−1.22870	+	0.425258i	−0.365832	+	0.930681i	$0.619215\pi$
$332$	2.26301	+	7.93396i	0.124199	+	0.435433i
$333$	1.90514	−	1.49821i	0.104401	−	0.0821017i
$334$	−11.9615	+	11.8692i	−0.654504	+	0.649453i
$335$	−17.5445	+	11.2752i	−0.958560	+	0.616029i
$336$	7.83419	−	15.4410i	0.427390	−	0.842376i
$337$	−9.91614	+	21.7133i	−0.540167	+	1.18280i	0.421058	+	0.907034i	$0.361659\pi$
$337$	−9.91614	+	21.7133i	−0.540167	+	1.18280i	−0.961225	+	0.275766i	$0.911068\pi$
$338$	−0.293010	−	4.33260i	−0.0159376	−	0.235662i
$339$	6.60024	+	6.29332i	0.358476	+	0.341806i
$340$	−30.2228	+	13.5203i	−1.63906	+	0.733242i
$341$	22.2366	+	23.3211i	1.20418	+	1.26291i
$342$	2.72758	−	0.0543581i	0.147490	−	0.00293935i
$343$	−13.1674	+	13.0238i	−0.710974	+	0.703219i
$344$	−0.567071	−	1.57607i	−0.0305744	−	0.0849762i
$345$	−26.9742	+	1.74949i	−1.45224	+	0.0941891i
$346$	2.45399	+	21.2214i	0.131927	+	1.14087i
$347$	0.236087	+	0.589718i	0.0126738	+	0.0316577i	0.934570	−	0.355780i	$-0.115785\pi$
$347$	0.236087	+	0.589718i	0.0126738	+	0.0316577i	−0.921896	+	0.387437i	$0.873360\pi$
$348$	0.504801	+	0.652243i	0.0270602	+	0.0349639i
$349$	6.82040	−	23.2281i	0.365087	−	1.24337i	−0.548300	−	0.836282i	$-0.684725\pi$
$349$	6.82040	−	23.2281i	0.365087	−	1.24337i	0.913387	−	0.407092i	$-0.133457\pi$
$350$	−14.7866	−	21.0175i	−0.790378	−	1.12343i
$351$	6.14071	+	20.9133i	0.327767	+	1.11627i
$352$	−0.139326	−	31.4325i	−0.00742610	−	1.67536i
$353$	−1.44651	−	15.1485i	−0.0769900	−	0.806276i	−0.948684	−	0.316225i	$-0.897584\pi$
$353$	−1.44651	−	15.1485i	−0.0769900	−	0.806276i	0.871694	−	0.490050i	$-0.163022\pi$
$354$	−5.96636	+	8.74215i	−0.317109	+	0.464640i
$355$	1.06698	+	22.3987i	0.0566296	+	1.18880i
$356$	−0.550056	−	0.439508i	−0.0291529	−	0.0232939i
$357$	−20.7452	−	1.52185i	−1.09795	−	0.0805447i
$358$	11.3187	−	1.85828i	0.598211	−	0.0982130i
$359$	−33.4349	+	11.5719i	−1.76463	+	0.610744i	−0.999453	−	0.0330784i	$-0.989469\pi$
$359$	−33.4349	+	11.5719i	−1.76463	+	0.610744i	−0.765175	+	0.643822i	$0.777348\pi$
$360$	−1.34313	−	2.84871i	−0.0707892	−	0.150140i
$361$	0.790803	−	16.6010i	0.0416212	−	0.873737i
$362$	8.10159	−	10.7355i	0.425810	−	0.564247i
$363$	−21.2951	−	24.5758i	−1.11770	−	1.28990i
$364$	−5.68617	+	20.4364i	−0.298036	+	1.07116i
$365$	22.7210	+	49.7520i	1.18927	+	2.60414i
$366$	1.31797	+	2.43607i	0.0688915	+	0.127336i
$367$	0.102592	+	0.177694i	0.00535525	+	0.00927557i	0.868691	−	0.495355i	$-0.164962\pi$
$367$	0.102592	+	0.177694i	0.00535525	+	0.00927557i	−0.863335	+	0.504631i	$0.831629\pi$
$368$	−15.0989	−	11.8331i	−0.787086	−	0.616843i
$369$	−1.35512	−	0.782376i	−0.0705445	−	0.0407289i
$370$	−19.1345	+	31.1203i	−0.994757	+	1.61787i
$371$	−13.7002	−	4.40711i	−0.711281	−	0.228806i
$372$	−8.56424	−	16.9331i	−0.444035	−	0.877941i
$373$	−23.5292	+	4.53487i	−1.21829	+	0.234807i	−0.757580	−	0.652742i	$-0.773619\pi$
$373$	−23.5292	+	4.53487i	−1.21829	+	0.234807i	−0.460714	+	0.887549i	$0.652406\pi$
$374$	−34.7702	+	14.7304i	−1.79793	+	0.761689i
$375$	10.5169	+	0.500983i	0.543092	+	0.0258707i
$376$	0.319027	+	0.221372i	0.0164525	+	0.0114164i
$377$	−0.763643	−	0.661701i	−0.0393296	−	0.0340793i
$378$	1.08383	−	20.3148i	0.0557462	−	1.04488i
$379$	28.5849	−	4.10989i	1.46831	−	0.211111i	0.638699	−	0.769456i	$-0.279473\pi$
$379$	28.5849	−	4.10989i	1.46831	−	0.211111i	0.829609	+	0.558345i	$0.188564\pi$
$380$	−38.2928	+	14.9870i	−1.96438	+	0.768816i
$381$	−12.4297	+	24.1103i	−0.636795	+	1.23521i
$382$	1.02098	+	0.696804i	0.0522381	+	0.0356516i
$383$	−14.2661	−	20.0339i	−0.728962	−	1.02368i	−0.998162	−	0.0605992i	$-0.980699\pi$
$383$	−14.2661	−	20.0339i	−0.728962	−	1.02368i	0.269201	−	0.963084i	$-0.413241\pi$
$384$	−5.27376	+	17.7430i	−0.269126	+	0.905445i
$385$	−28.3109	−	41.9945i	−1.44286	−	2.14024i
$386$	29.2151	−	9.21447i	1.48701	−	0.469004i
$387$	−0.132089	−	0.138531i	−0.00671447	−	0.00704193i
$388$	−1.95591	−	14.3944i	−0.0992965	−	0.730767i
$389$	−7.54315	+	3.01982i	−0.382453	+	0.153111i	−0.554919	−	0.831904i	$-0.687251\pi$
$389$	−7.54315	+	3.01982i	−0.382453	+	0.153111i	0.172466	+	0.985015i	$0.444826\pi$
$390$	−19.0502	−	25.6546i	−0.964642	−	1.29907i
$391$	−6.11222	+	22.2205i	−0.309108	+	1.12374i
$392$	11.3467	−	16.2251i	0.573093	−	0.819491i
$393$	3.92092	−	27.2706i	0.197784	−	1.37562i
$394$	17.0574	−	30.9527i	0.859342	−	1.55938i
$395$	−2.81202	−	11.5913i	−0.141488	−	0.583221i
$396$	−1.46683	−	3.27890i	−0.0737110	−	0.164771i
$397$	34.3522	+	8.33375i	1.72409	+	0.418259i	0.970888	−	0.239533i	$-0.0769943\pi$
$397$	34.3522	+	8.33375i	1.72409	+	0.418259i	0.753200	+	0.657792i	$0.228509\pi$
$398$	10.0909	−	6.77290i	0.505813	−	0.339495i
$399$	−25.6462	−	3.11394i	−1.28392	−	0.155892i
$400$	19.5864	+	19.2637i	0.979321	+	0.963186i
$401$	−1.16684	−	24.4951i	−0.0582694	−	1.22322i	−0.818860	−	0.573993i	$-0.805394\pi$
$401$	−1.16684	−	24.4951i	−0.0582694	−	1.22322i	0.760591	−	0.649232i	$-0.224909\pi$
$402$	13.5437	−	3.57286i	0.675499	−	0.178198i
$403$	14.3707	+	18.2738i	0.715855	+	0.910284i
$404$	25.1573	+	24.3623i	1.25162	+	1.21207i
$405$	20.6354	+	17.8807i	1.02538	+	0.888499i
$406$	0.466889	+	0.819429i	0.0231713	+	0.0406676i
$407$	−22.5263	+	35.0516i	−1.11659	+	1.73744i
$408$	22.1091	−	2.38323i	1.09456	−	0.117987i
$409$	−36.5586	−	12.6530i	−1.80771	−	0.625653i	−0.999315	−	0.0370064i	$-0.988218\pi$
$409$	−36.5586	−	12.6530i	−1.80771	−	0.625653i	−0.808391	−	0.588647i	$-0.799661\pi$
$410$	23.2438	+	4.00127i	1.14793	+	0.197609i
$411$	−18.4488	−	1.76165i	−0.910014	−	0.0868958i
$412$	−29.5053	+	20.6680i	−1.45362	+	1.01824i
$413$	−8.15734	+	8.94049i	−0.401396	+	0.439933i
$414$	−2.12486	−	0.539186i	−0.104431	−	0.0264995i
$415$	−12.3074	−	7.10566i	−0.604144	−	0.348803i
$416$	2.05553	−	22.5839i	0.100781	−	1.10727i
$417$	1.24992	−	1.75527i	0.0612089	−	0.0859559i
$418$	−44.0058	+	16.2194i	−2.15239	+	0.793318i
$419$	−11.4745	−	13.2423i	−0.560568	−	0.646930i	0.402744	−	0.915312i	$-0.368056\pi$
$419$	−11.4745	−	13.2423i	−0.560568	−	0.646930i	−0.963312	+	0.268383i	$0.913511\pi$
$420$	8.80877	+	28.4941i	0.429824	+	1.39037i
$421$	25.5233	+	16.4028i	1.24393	+	0.799426i	0.986001	−	0.166738i	$-0.0533235\pi$
$421$	25.5233	+	16.4028i	1.24393	+	0.799426i	0.257929	+	0.966164i	$0.416960\pi$
$422$	0.109033	+	0.510733i	0.00530764	+	0.0248621i
$423$	0.0435727	+	0.00839795i	0.00211858	+	0.000408322i
$424$	15.2542	+	2.00392i	0.740811	+	0.0973190i
$425$	12.2662	−	30.6395i	0.594998	−	1.48623i
$426$	3.95433	−	14.5324i	0.191588	−	0.704096i
$427$	1.10138	+	2.96948i	0.0532994	+	0.143703i
$428$	0.684924	+	17.1772i	0.0331071	+	0.830291i
$429$	−21.1398	−	29.6868i	−1.02064	−	1.43329i
$430$	2.59027	+	1.27070i	0.124914	+	0.0612786i
$431$	1.37538	−	1.44246i	0.0662497	−	0.0694807i	−0.689775	−	0.724024i	$-0.742291\pi$
$431$	1.37538	−	1.44246i	0.0662497	−	0.0694807i	0.756025	+	0.654543i	$0.227139\pi$
$432$	2.76121	+	21.5723i	0.132849	+	1.03790i
$433$	5.68102	−	19.3478i	0.273012	−	0.929795i	−0.702837	−	0.711351i	$-0.748084\pi$
$433$	5.68102	−	19.3478i	0.273012	−	0.929795i	0.975849	−	0.218444i	$-0.0700981\pi$
$434$	−6.97979	−	20.5450i	−0.335041	−	0.986193i
$435$	−1.40621	−	0.202182i	−0.0674224	−	0.00969388i
$436$	10.4267	−	2.44411i	0.499347	−	0.117052i
$437$	−8.89585	+	27.2051i	−0.425546	+	1.30140i
$438$	−4.21979	−	36.4915i	−0.201629	−	1.74363i
$439$	−5.54179	−	4.35811i	−0.264495	−	0.208001i	0.477100	−	0.878849i	$-0.341688\pi$
$439$	−5.54179	−	4.35811i	−0.264495	−	0.208001i	−0.741595	+	0.670848i	$0.765930\pi$
$440$	37.8375	+	38.7273i	1.80383	+	1.84625i
$441$	0.436312	−	2.22009i	0.0207767	−	0.105719i
$442$	−25.9816	+	8.19464i	−1.23582	+	0.389779i
$443$	21.4652	+	5.20739i	1.01984	+	0.247411i	0.710617	−	0.703579i	$-0.248416\pi$
$443$	21.4652	+	5.20739i	1.01984	+	0.247411i	0.309223	+	0.950990i	$0.399931\pi$
$444$	18.6672	−	15.9237i	0.885904	−	0.755704i
$445$	1.20729	−	0.115282i	0.0572309	−	0.00546489i
$446$	−11.6682	−	0.879968i	−0.552506	−	0.0416677i
$447$	7.46564	−	4.79788i	0.353113	−	0.226932i
$448$	−8.81710	+	19.2421i	−0.416569	+	0.909104i
$449$	4.31877	+	30.0377i	0.203815	+	1.41757i	0.792829	+	0.609444i	$0.208607\pi$
$449$	4.31877	+	30.0377i	0.203815	+	1.41757i	−0.589014	+	0.808123i	$0.700484\pi$
$450$	2.93721	+	1.10850i	0.138461	+	0.0522553i
$451$	26.4139	+	5.09086i	1.24378	+	0.239719i
$452$	−8.36844	−	7.36557i	−0.393618	−	0.346447i
$453$	−11.1225	−	21.5746i	−0.522580	−	1.01366i
$454$	−0.0467659	+	0.378686i	−0.00219483	+	0.0177726i
$455$	−17.4526	−	32.1013i	−0.818188	−	1.50493i
$456$	27.5690	−	1.65002i	1.29104	−	0.0772693i
$457$	5.21748	+	0.498209i	0.244064	+	0.0233053i	0.216371	−	0.976311i	$-0.430578\pi$
$457$	5.21748	+	0.498209i	0.244064	+	0.0233053i	0.0276927	+	0.999616i	$0.491184\pi$
$458$	−18.1618	−	0.502729i	−0.848647	−	0.0234910i
$459$	22.6269	−	13.0636i	1.05613	−	0.609759i
$460$	32.8626	−	3.45069i	1.53223	−	0.160889i
$461$			23.7160i			1.10456i	0.833658	+	0.552282i	$0.186243\pi$
$461$			23.7160i			1.10456i	−0.833658	+	0.552282i	$0.813757\pi$
$462$	9.39709	+	32.6919i	0.437192	+	1.52096i
$463$	2.45008	−	1.11891i	0.113865	−	0.0520004i	−0.357668	−	0.933849i	$-0.616428\pi$
$463$	2.45008	−	1.11891i	0.113865	−	0.0520004i	0.471533	+	0.881848i	$0.343701\pi$
$464$	−0.648361	−	0.772102i	−0.0300994	−	0.0358439i
$465$	30.8880	+	10.6904i	1.43239	+	0.495757i
$466$	16.1819	−	6.85545i	0.749612	−	0.317572i
$467$	−15.9881	+	8.24244i	−0.739841	+	0.381414i	−0.786576	−	0.617493i	$-0.788148\pi$
$467$	−15.9881	+	8.24244i	−0.739841	+	0.381414i	0.0467357	+	0.998907i	$0.485118\pi$
$468$	−0.828594	−	2.45545i	−0.0383018	−	0.113503i
$469$	15.9069	−	1.87242i	0.734514	−	0.0864604i
$470$	−0.660026	+	0.108362i	−0.0304447	+	0.00499835i
$471$	3.32034	−	8.29380i	0.152993	−	0.382158i
$472$	6.86189	−	10.9688i	0.315844	−	0.504879i
$473$	2.92480	+	1.50784i	0.134482	+	0.0693305i
$474$	−0.602438	+	7.98821i	−0.0276709	+	0.366911i
$475$	17.0279	−	37.2859i	0.781293	−	1.71079i
$476$	25.4136	+	0.848488i	1.16483	+	0.0388904i
$477$	1.68696	−	0.495337i	0.0772407	−	0.0226799i
$478$	−9.69473	−	2.14832i	−0.443427	−	0.0982620i
$479$	8.86380	+	36.5371i	0.404997	+	1.66942i	0.700169	+	0.713977i	$0.253108\pi$
$479$	8.86380	+	36.5371i	0.404997	+	1.66942i	−0.295172	+	0.955444i	$0.595377\pi$
$480$	−14.7355	−	28.2744i	−0.672580	−	1.29055i
$481$	−18.5818	+	23.6287i	−0.847257	+	1.07738i
$482$	14.5091	+	6.27976i	0.660870	+	0.286035i
$483$	19.2066	+	7.87834i	0.873930	+	0.358477i
$484$	27.2080	+	28.9812i	1.23673	+	1.31733i
$485$	19.6688	+	15.4678i	0.893116	+	0.702354i
$486$	2.44559	+	4.04744i	0.110934	+	0.183596i
$487$	8.86112	−	2.14968i	0.401536	−	0.0974115i	−0.0299052	−	0.999553i	$-0.509521\pi$
$487$	8.86112	−	2.14968i	0.401536	−	0.0974115i	0.431441	+	0.902141i	$0.358005\pi$
$488$	−1.72850	−	2.91137i	−0.0782454	−	0.131792i
$489$	−4.47954	−	15.2559i	−0.202572	−	0.689896i
$490$	5.40205	+	33.6732i	0.244040	+	1.52120i
$491$	33.3189	+	15.2162i	1.50366	+	0.686699i	0.985670	−	0.168687i	$-0.0539526\pi$
$491$	33.3189	+	15.2162i	1.50366	+	0.686699i	0.517992	+	0.855386i	$0.326680\pi$
$492$	−14.0233	−	7.36757i	−0.632218	−	0.332156i
$493$	−0.555016	+	1.07658i	−0.0249967	+	0.0484868i
$494$	−32.7166	+	8.63070i	−1.47199	+	0.388314i
$495$	5.74409	+	2.29958i	0.258177	+	0.103359i
$496$	11.2856	+	20.2660i	0.506738	+	0.909970i
$497$	6.80824	−	15.8188i	0.305391	−	0.709569i
$498$	6.39299	+	7.08749i	0.286477	+	0.317598i
$499$	−5.04264	−	9.78135i	−0.225739	−	0.437873i	0.748580	−	0.663045i	$-0.230736\pi$
$499$	−5.04264	−	9.78135i	−0.225739	−	0.437873i	−0.974319	+	0.225171i	$0.927706\pi$
$500$	−12.8704	−	0.0997087i	−0.575582	−	0.00445911i
$501$	−6.37608	+	18.4225i	−0.284862	+	0.823056i
$502$	0.185316	+	0.502790i	0.00827105	+	0.0224406i
$503$	16.2105	+	35.4960i	0.722790	+	1.58269i	0.809952	+	0.586496i	$0.199493\pi$
$503$	16.2105	+	35.4960i	0.722790	+	1.58269i	−0.0871620	+	0.996194i	$0.527780\pi$
$504$	−0.0325275	+	2.41856i	−0.00144889	+	0.107731i
$505$	−60.3223			−2.68431
$506$	37.5516	−	3.18800i	1.66937	−	0.141724i
$507$	−2.51189	−	4.35072i	−0.111557	−	0.193222i
$508$	14.0081	−	30.0552i	0.621511	−	1.33348i
$509$	−3.23938	+	33.9243i	−0.143583	+	1.50367i	0.580674	+	0.814136i	$0.302789\pi$
$509$	−3.23938	+	33.9243i	−0.143583	+	1.50367i	−0.724257	+	0.689531i	$0.757817\pi$
$510$	−24.5017	+	29.4420i	−1.08496	+	1.30371i
$511$	1.07639	−	41.9915i	0.0476165	−	1.85760i
$512$	5.57752	−	21.9292i	0.246494	−	0.969144i
$513$	28.8425	−	14.8693i	1.27343	−	0.656497i
$514$	5.74414	+	1.86075i	0.253363	+	0.0820744i
$515$	11.7433	−	60.9300i	0.517471	−	2.68490i
$516$	−1.39203	−	1.34804i	−0.0612806	−	0.0593441i
$517$	−0.755088	+	0.108565i	−0.0332087	+	0.00477470i
$518$	23.6888	−	15.0337i	1.04083	−	0.660545i
$519$	13.3616	+	20.7910i	0.586509	+	0.912625i
$520$	24.5185	+	30.4082i	1.07521	+	1.33349i
$521$	−1.85833	−	19.4614i	−0.0814151	−	0.852617i	−0.940277	−	0.340410i	$-0.889434\pi$
$521$	−1.85833	−	19.4614i	−0.0814151	−	0.852617i	0.858862	−	0.512207i	$-0.171172\pi$
$522$	−0.103440	−	0.0507442i	−0.00452744	−	0.00222101i
$523$	7.71034	−	31.7824i	0.337150	−	1.38975i	−0.510812	−	0.859692i	$-0.670655\pi$
$523$	7.71034	−	31.7824i	0.337150	−	1.38975i	0.847962	−	0.530057i	$-0.177830\pi$
$524$	−3.46104	+	33.5009i	−0.151196	+	1.46349i
$525$	−26.0669	−	14.2955i	−1.13765	−	0.623907i
$526$	−0.583758	−	29.2917i	−0.0254530	−	1.27718i
$527$	17.2262	−	21.9049i	0.750387	−	0.954194i
$528$	−16.1603	−	32.5761i	−0.703287	−	1.41769i
$529$	12.6903	−	19.1822i	0.551753	−	0.834008i
$530$	−21.2767	+	15.7993i	−0.924199	+	0.686277i
$531$	0.210419	−	1.46350i	0.00913140	−	0.0635103i
$532$	31.4774	+	2.55446i	1.36472	+	0.110750i
$533$	18.6209	+	5.46760i	0.806562	+	0.236828i
$534$	−0.795250	−	0.176225i	−0.0344138	−	0.00762600i
$535$	−21.4307	−	20.4341i	−0.926529	−	0.883443i
$536$	−16.3691	+	5.02374i	−0.707036	+	0.216992i
$537$	10.8092	−	7.69721i	0.466452	−	0.332159i
$538$	2.65519	−	1.27712i	0.114473	−	0.0550607i
$539$	5.39472	+	38.5202i	0.232367	+	1.65918i
$540$	−29.2664	−	23.3846i	−1.25943	−	1.00631i
$541$	−26.4477	−	10.5880i	−1.13707	−	0.455216i	−0.274721	−	0.961524i	$-0.588586\pi$
$541$	−26.4477	−	10.5880i	−1.13707	−	0.455216i	−0.862353	+	0.506308i	$0.831010\pi$
$542$	−24.3565	+	19.9523i	−1.04620	+	0.857024i
$543$	2.94465	−	15.2783i	0.126367	−	0.655655i
$544$	−26.8893	+	3.98783i	−1.15287	+	0.170977i
$545$	−9.97309	+	15.5184i	−0.427200	+	0.664736i
$546$	4.50689	+	24.1233i	0.192877	+	1.03238i
$547$	−2.93772	+	2.54554i	−0.125608	+	0.108840i	−0.715399	−	0.698716i	$-0.753755\pi$
$547$	−2.93772	+	2.54554i	−0.125608	+	0.108840i	0.589792	+	0.807555i	$0.299210\pi$
$548$	22.6203	+	1.25324i	0.966291	+	0.0535359i
$549$	−0.315176	−	0.224436i	−0.0134514	−	0.00957869i
$550$	−53.9499	−	1.49336i	−2.30043	−	0.0636770i
$551$	−0.752164	+	1.30279i	−0.0320433	+	0.0555006i
$552$	−21.7116	−	4.59709i	−0.924107	−	0.195665i
$553$	−1.96352	+	8.94737i	−0.0834973	+	0.380481i
$554$	26.4026	+	16.2338i	1.12174	+	0.689709i
$555$	−4.01742	+	42.0723i	−0.170530	+	1.78587i
$556$	−1.44124	+	2.20487i	−0.0611222	+	0.0935072i
$557$	−12.7122	+	36.7295i	−0.538633	+	1.55628i	0.266899	+	0.963725i	$0.414001\pi$
$557$	−12.7122	+	36.7295i	−0.538633	+	1.55628i	−0.805532	+	0.592553i	$0.798120\pi$
$558$	2.11591	+	1.59678i	0.0895738	+	0.0675971i
$559$	1.99714	+	1.28349i	0.0844701	+	0.0542857i
$560$	−12.1473	−	34.3753i	−0.513319	−	1.45262i
$561$	−28.6083	+	33.0158i	−1.20785	+	1.39393i
$562$	−3.41145	−	1.28748i	−0.143903	−	0.0543090i
$563$	−4.93782	+	3.88314i	−0.208104	+	0.163655i	−0.716771	−	0.697308i	$-0.754381\pi$
$563$	−4.93782	+	3.88314i	−0.208104	+	0.163655i	0.508667	+	0.860963i	$0.330138\pi$
$564$	0.444148	+	0.0673748i	0.0187020	+	0.00283699i
$565$	19.1810	−	0.913705i	0.806952	−	0.0384399i
$566$	6.05694	+	12.5926i	0.254592	+	0.529307i
$567$	−8.21954	−	19.2918i	−0.345188	−	0.810180i
$568$	−4.12227	+	17.9433i	−0.172966	+	0.752884i
$569$	−1.88095	+	7.75336i	−0.0788533	+	0.325038i	−0.997553	−	0.0699199i	$-0.977726\pi$
$569$	−1.88095	+	7.75336i	−0.0788533	+	0.325038i	0.918699	+	0.394958i	$0.129241\pi$
$570$	−32.1363	+	35.0772i	−1.34604	+	1.46922i
$571$	8.25032	−	2.00151i	0.345265	−	0.0837604i	−0.0593767	−	0.998236i	$-0.518911\pi$
$571$	8.25032	−	2.00151i	0.345265	−	0.0837604i	0.404642	+	0.914475i	$0.367396\pi$
$572$	27.2673	+	35.2315i	1.14010	+	1.47311i
$573$	1.41547	+	0.203514i	0.0591323	+	0.00850194i
$574$	−14.6948	−	10.5909i	−0.613351	−	0.442057i
$575$	−21.1393	+	25.2595i	−0.881569	+	1.05339i
$576$	−0.430226	−	2.54974i	−0.0179261	−	0.106239i
$577$	10.1975	+	25.4720i	0.424526	+	1.06041i	0.974331	+	0.225121i	$0.0722778\pi$
$577$	10.1975	+	25.4720i	0.424526	+	1.06041i	−0.549805	+	0.835293i	$0.685298\pi$
$578$	4.45535	+	7.37358i	0.185318	+	0.306701i
$579$	25.6490	−	24.4563i	1.06594	−	1.01637i
$580$	1.72747	+	0.178468i	0.0717293	+	0.00741050i
$581$	6.10099	+	9.04979i	0.253112	+	0.375449i
$582$	−9.36579	−	13.9541i	−0.388224	−	0.578415i
$583$	−24.6208	+	17.5324i	−1.01969	+	0.726116i
$584$	6.93160	+	44.3674i	0.286832	+	1.83593i
$585$	3.96761	+	2.04545i	0.164041	+	0.0845688i
$586$	0.501568	+	0.505469i	0.0207196	+	0.0208807i
$587$	1.05018	+	7.30416i	0.0433456	+	0.301475i	0.999949	+	0.0100826i	$0.00320944\pi$
$587$	1.05018	+	7.30416i	0.0433456	+	0.301475i	−0.956604	+	0.291392i	$0.905881\pi$
$588$	3.51806	−	22.6334i	0.145082	−	0.933386i
$589$	22.6650	−	26.1568i	0.933896	−	1.07777i
$590$	4.65289	+	21.7951i	0.191556	+	0.897290i
$591$	1.94545	−	40.8399i	0.0800249	−	1.67993i
$592$	−22.0256	+	20.3593i	−0.905247	+	0.836762i
$593$	−3.59732	−	18.6647i	−0.147724	−	0.766467i	−0.977918	−	0.208991i	$-0.932982\pi$
$593$	−3.59732	−	18.6647i	−0.147724	−	0.766467i	0.830193	−	0.557476i	$-0.188230\pi$
$594$	−32.8410	−	27.3305i	−1.34748	−	1.12138i
$595$	−32.4632	+	29.4028i	−1.33086	+	1.20540i
$596$	−8.88530	+	6.22402i	−0.363956	+	0.254946i
$597$	7.02992	−	12.1762i	0.287715	−	0.498338i
$598$	27.1876	+	0.285649i	1.11178	+	0.0116811i
$599$	28.5282	−	16.4708i	1.16563	−	0.672978i	0.212985	−	0.977055i	$-0.431681\pi$
$599$	28.5282	−	16.4708i	1.16563	−	0.672978i	0.952647	+	0.304077i	$0.0983481\pi$
$600$	30.1586	+	10.0284i	1.23122	+	0.409407i
$601$	2.61443	−	1.19397i	0.106645	−	0.0487031i	−0.361378	−	0.932419i	$-0.617694\pi$
$601$	2.61443	−	1.19397i	0.106645	−	0.0487031i	0.468023	+	0.883716i	$0.344966\pi$
$602$	−1.35976	−	1.74952i	−0.0554198	−	0.0713049i
$603$	−1.47879	+	1.28138i	−0.0602209	+	0.0521817i
$604$	14.6364	+	25.8108i	0.595548	+	1.05023i
$605$	−68.3945	−	3.25803i	−2.78063	−	0.132458i
$606$	38.5426	+	12.4855i	1.56568	+	0.507188i
$607$	2.28887	+	6.61324i	0.0929022	+	0.268423i	0.981873	−	0.189541i	$-0.0607000\pi$
$607$	2.28887	+	6.61324i	0.0929022	+	0.268423i	−0.888971	+	0.457964i	$0.848579\pi$
$608$	−33.5940	+	3.35817i	−1.36242	+	0.136192i
$609$	0.902448	+	0.613202i	0.0365690	+	0.0248482i
$610$	5.62747	+	1.53126i	0.227850	+	0.0619990i
$611$	−0.549738	+	0.0261873i	−0.0222400	+	0.00105942i
$612$	−2.62623	+	1.65917i	−0.106159	+	0.0670678i
$613$	37.5514	−	3.58573i	1.51669	−	0.144826i	0.696764	−	0.717300i	$-0.254622\pi$
$613$	37.5514	−	3.58573i	1.51669	−	0.144826i	0.819923	+	0.572474i	$0.194016\pi$
$614$	−0.159346	−	2.35617i	−0.00643068	−	0.0950873i
$615$	26.1807	−	7.68734i	1.05571	−	0.309983i
$616$	−13.0704	−	39.4741i	−0.526621	−	1.59046i
$617$	−31.7199	−	9.31380i	−1.27700	−	0.374960i	−0.428201	−	0.903683i	$-0.640853\pi$
$617$	−31.7199	−	9.31380i	−1.27700	−	0.374960i	−0.848794	+	0.528724i	$0.822671\pi$
$618$	−20.1146	+	36.5002i	−0.809126	+	1.46825i
$619$	2.48244	−	0.993820i	0.0997778	−	0.0399450i	−0.321237	−	0.946999i	$-0.604098\pi$
$619$	2.48244	−	0.993820i	0.0997778	−	0.0399450i	0.421014	+	0.907054i	$0.361674\pi$
$620$	−38.2490	−	11.5535i	−1.53612	−	0.464001i
$621$	−25.5156	+	5.37359i	−1.02391	+	0.215635i
$622$	0.169916	−	0.392583i	0.00681302	−	0.0157411i
$623$	−0.872088	−	0.327089i	−0.0349395	−	0.0131046i
$624$	−9.37207	−	24.5039i	−0.375183	−	0.980943i
$625$	−8.80801	+	8.39843i	−0.352321	+	0.335937i
$626$	−8.45737	+	9.23133i	−0.338025	+	0.368958i
$627$	−37.4421	+	39.2681i	−1.49529	+	1.56822i
$628$	−3.65171	+	10.2922i	−0.145719	+	0.410705i
$629$	32.7768	+	14.9686i	1.30690	+	0.596839i
$630$	−2.85787	−	3.03167i	−0.113860	−	0.120785i
$631$	−22.2483	−	34.6190i	−0.885689	−	1.37816i	−0.925418	−	0.378949i	$-0.876286\pi$
$631$	−22.2483	−	34.6190i	−0.885689	−	1.37816i	0.0397284	−	0.999211i	$-0.487351\pi$
$632$	0.346791	−	9.78662i	0.0137946	−	0.389291i
$633$	0.373476	+	0.474914i	0.0148444	+	0.0188761i
$634$	−19.8940	+	16.2967i	−0.790093	+	0.647226i
$635$	18.6811	+	53.9756i	0.741338	+	2.14196i
$636$	16.8647	−	5.69102i	0.668730	−	0.225664i
$637$	1.23275	+	28.0346i	0.0488434	+	1.11077i
$638$	1.96577	+	0.242764i	0.0778258	+	0.00961112i
$639$	0.398169	+	2.06590i	0.0157513	+	0.0817256i
$640$	19.3759	+	33.8184i	0.765899	+	1.33679i
$641$	7.50011	−	10.5324i	0.296237	−	0.416006i	−0.639453	−	0.768830i	$-0.720839\pi$
$641$	7.50011	−	10.5324i	0.296237	−	0.416006i	0.935690	+	0.352824i	$0.114779\pi$
$642$	9.46356	+	17.4920i	0.373497	+	0.690353i
$643$	−6.09757			−0.240465			−0.120232	−	0.992746i	$-0.538364\pi$
$643$	−6.09757			−0.240465			−0.120232	+	0.992746i	$0.538364\pi$
$644$	−23.8438	−	8.68763i	−0.939576	−	0.342340i
$645$	3.33781			0.131426
$646$	19.2999	+	35.6730i	0.759346	+	1.40354i
$647$	2.63258	−	3.69695i	0.103498	−	0.145342i	−0.759579	−	0.650415i	$-0.774595\pi$
$647$	2.63258	−	3.69695i	0.103498	−	0.145342i	0.863077	+	0.505073i	$0.168534\pi$
$648$	12.3487	+	18.7100i	0.485103	+	0.734997i
$649$	4.81038	+	24.9586i	0.188824	+	0.979712i
$650$	−38.6436	−	4.77230i	−1.51573	−	0.187185i
$651$	−17.7177	−	17.7825i	−0.694410	−	0.696953i
$652$	6.21461	+	18.4163i	0.243383	+	0.721238i
$653$	−13.7797	−	39.8138i	−0.539241	−	1.55804i	−0.804558	−	0.593874i	$-0.797598\pi$
$653$	−13.7797	−	39.8138i	−0.539241	−	1.55804i	0.265317	−	0.964161i	$-0.414523\pi$
$654$	9.58424	−	7.85118i	0.374773	−	0.307005i
$655$	−35.8609	−	45.6009i	−1.40120	−	1.78177i
$656$	17.4877	+	8.31619i	0.682780	+	0.324693i
$657$	2.77438	+	4.31703i	0.108239	+	0.168423i
$658$	0.492043	+	0.147529i	0.0191818	+	0.00575129i
$659$	−2.82797	−	1.29149i	−0.110162	−	0.0503093i	0.359572	−	0.933117i	$-0.382923\pi$
$659$	−2.82797	−	1.29149i	−0.110162	−	0.0503093i	−0.469734	+	0.882808i	$0.655650\pi$
$660$	59.0320	+	20.9447i	2.29782	+	0.815270i
$661$	2.88183	−	3.02238i	0.112090	−	0.117557i	−0.665298	−	0.746578i	$-0.731696\pi$
$661$	2.88183	−	3.02238i	0.112090	−	0.117557i	0.777388	+	0.629021i	$0.216544\pi$
$662$	22.5987	−	24.6667i	0.878323	−	0.958700i
$663$	−22.8103	+	21.7495i	−0.885877	+	0.844682i
$664$	−8.15396	−	8.34571i	−0.316435	−	0.323876i
$665$	−42.0107	+	34.5581i	−1.62911	+	1.34010i
$666$	−1.36147	+	3.14560i	−0.0527557	+	0.121889i
$667$	0.860413	−	0.849074i	0.0333153	−	0.0328763i
$668$	6.89087	−	22.8128i	0.266616	−	0.882656i
$669$	−12.5675	+	5.03125i	−0.485886	+	0.194519i
$670$	14.2350	−	25.8311i	0.549947	−	0.997942i
$671$	6.38219	+	1.87398i	0.246382	+	0.0723442i
$672$	0.646486	+	24.4782i	0.0249387	+	0.944265i
$673$	46.2215	−	13.5719i	1.78171	−	0.523157i	0.786212	−	0.617957i	$-0.212039\pi$
$673$	46.2215	−	13.5719i	1.78171	−	0.523157i	0.995496	+	0.0948000i	$0.0302212\pi$
$674$	−2.27782	−	33.6810i	−0.0877382	−	1.29734i
$675$	37.1730	−	3.54959i	1.43079	−	0.136624i
$676$	3.28007	+	5.19189i	0.126157	+	0.199688i
$677$	−44.0733	+	2.09947i	−1.69387	+	0.0806892i	−0.872163	−	0.489215i	$-0.837283\pi$
$677$	−44.0733	+	2.09947i	−1.69387	+	0.0806892i	−0.821711	+	0.569904i	$0.806980\pi$
$678$	−12.4447	−	3.38627i	−0.477937	−	0.130049i
$679$	−8.36517	−	17.3008i	−0.321026	−	0.663945i
$680$	28.4939	−	37.1555i	1.09269	−	1.42485i
$681$	0.144376	+	0.417147i	0.00553250	+	0.0159851i
$682$	−43.3527	−	14.0437i	−1.66006	−	0.537760i
$683$	18.1447	+	0.864339i	0.694288	+	0.0330730i	0.391760	−	0.920067i	$-0.371866\pi$
$683$	18.1447	+	0.864339i	0.694288	+	0.0330730i	0.302528	+	0.953140i	$0.402169\pi$
$684$	−3.35609	+	1.90313i	−0.128323	+	0.0727680i
$685$	−29.4918	+	25.5548i	−1.12682	+	0.976398i
$686$	7.61385	−	25.0605i	0.290698	−	0.956815i
$687$	−19.1198	+	8.73171i	−0.729465	+	0.333136i
$688$	1.76596	+	1.57878i	0.0673266	+	0.0601903i
$689$	−18.8846	+	10.9030i	−0.719446	+	0.415372i
$690$	32.3743	−	20.3283i	1.23247	−	0.773884i
$691$	11.7704	−	20.3870i	0.447769	−	0.775559i	−0.550472	−	0.834854i	$-0.685552\pi$
$691$	11.7704	−	20.3870i	0.447769	−	0.775559i	0.998240	+	0.0592954i	$0.0188854\pi$
$692$	−17.3333	−	24.7446i	−0.658911	−	0.940650i
$693$	−3.18993	−	3.52195i	−0.121175	−	0.133788i
$694$	−0.690504	−	0.574641i	−0.0262112	−	0.0218131i
$695$	−0.858686	−	4.45529i	−0.0325718	−	0.168999i
$696$	−1.06682	−	0.471582i	−0.0404376	−	0.0178753i
$697$	1.10691	−	23.2370i	0.0419274	−	0.880164i
$698$	7.14782	+	33.4819i	0.270549	+	1.26731i
$699$	13.3142	−	15.3654i	0.503589	−	0.581173i
$700$	32.5359	+	16.1918i	1.22974	+	0.611993i
$701$	−3.89715	−	27.1053i	−0.147193	−	1.02375i	−0.920786	−	0.390069i	$-0.872451\pi$
$701$	−3.89715	−	27.1053i	−0.147193	−	1.02375i	0.773592	−	0.633684i	$-0.218458\pi$
$702$	−21.7117	−	21.8805i	−0.819454	−	0.825827i
$703$	39.7776	+	20.5068i	1.50024	+	0.773428i
$704$	21.3258	+	39.0033i	0.803745	+	1.46999i
$705$	−0.630317	+	0.448847i	−0.0237391	+	0.0169045i
$706$	11.9934	+	17.8690i	0.451378	+	0.672507i
$707$	41.6338	+	20.3186i	1.56580	+	0.764160i
$708$	1.53820	−	14.8889i	0.0578092	−	0.559559i
$709$	−23.1564	+	22.0796i	−0.869656	+	0.829215i	−0.986471	−	0.163938i	$-0.947580\pi$
$709$	−23.1564	+	22.0796i	−0.869656	+	0.829215i	0.116815	+	0.993154i	$0.462732\pi$
$710$	−16.4003	−	27.1424i	−0.615493	−	1.01864i
$711$	−0.415921	−	1.03892i	−0.0155983	−	0.0389626i
$712$	0.979948	+	0.176519i	0.0367251	+	0.00661534i
$713$	−23.1350	+	15.4355i	−0.866413	+	0.578063i
$714$	26.8279	−	12.0675i	1.00401	−	0.451616i
$715$	−75.9576	−	10.9211i	−2.84065	−	0.408424i
$716$	−12.8281	+	9.92828i	−0.479410	+	0.371037i
$717$	−11.1640	+	2.70835i	−0.416926	+	0.101145i
$718$	33.8004	−	36.8936i	1.26142	−	1.37686i
$719$	−1.79307	+	7.39114i	−0.0668702	+	0.275643i	−0.995424	−	0.0955546i	$-0.969538\pi$
$719$	−1.79307	+	7.39114i	−0.0668702	+	0.275643i	0.928554	+	0.371197i	$0.121053\pi$
$720$	3.58767	+	2.63949i	0.133705	+	0.0983678i
$721$	−28.6284	+	38.0977i	−1.06618	+	1.41883i
$722$	10.1880	+	21.1812i	0.379157	+	0.788282i
$723$	18.2694	−	0.870278i	0.679446	−	0.0323660i
$724$	−2.85265	+	18.8052i	−0.106018	+	0.698892i
$725$	−1.36076	+	1.07011i	−0.0505373	+	0.0397430i
$726$	43.0259	+	16.2380i	1.59684	+	0.602647i
$727$	−1.25672	+	1.45034i	−0.0466093	+	0.0537900i	−0.778576	−	0.627551i	$-0.784057\pi$
$727$	−1.25672	+	1.45034i	−0.0466093	+	0.0537900i	0.731966	+	0.681341i	$0.238603\pi$
$728$	−6.67989	−	29.2461i	−0.247573	−	1.08393i
$729$	24.6053	+	15.8129i	0.911308	+	0.585662i
$730$	−61.7418	−	46.5936i	−2.28517	−	1.72451i
$731$	0.930750	−	2.68922i	0.0344250	−	0.0994646i
$732$	−3.27870	−	2.14316i	−0.121184	−	0.0792136i
$733$	−0.231379	+	2.42311i	−0.00854617	+	0.0894996i	−0.998739	−	0.0502102i	$-0.984011\pi$
$733$	−0.231379	+	2.42311i	−0.00854617	+	0.0894996i	0.990193	+	0.139710i	$0.0446169\pi$
$734$	−0.247187	−	0.151985i	−0.00912384	−	0.00560986i
$735$	22.7681	+	32.2219i	0.839812	+	1.18852i
$736$	26.7437	+	4.55771i	0.985787	+	0.167999i
$737$	16.8192	−	29.1316i	0.619542	−	1.07308i
$738$	2.21205	+	0.0612306i	0.0814266	+	0.00225393i
$739$	0.322339	+	0.229536i	0.0118574	+	0.00844363i	0.585970	−	0.810333i	$-0.300714\pi$
$739$	0.322339	+	0.229536i	0.0118574	+	0.00844363i	−0.574113	+	0.818776i	$0.694653\pi$
$740$	2.85800	−	51.5852i	0.105062	−	1.89631i
$741$	−29.5833	+	25.6340i	−1.08677	+	0.941690i
$742$	20.0067	−	3.73780i	0.734468	−	0.137219i
$743$	−9.70825	+	15.1063i	−0.356161	+	0.554197i	−0.972388	−	0.233371i	$-0.925024\pi$
$743$	−9.70825	+	15.1063i	−0.356161	+	0.554197i	0.616227	+	0.787569i	$0.288661\pi$
$744$	22.0477	+	15.2988i	0.808306	+	0.560882i
$745$	3.53641	−	18.3486i	0.129564	−	0.672242i
$746$	26.2148	−	21.4746i	0.959793	−	0.786239i
$747$	−1.23785	−	0.495559i	−0.0452905	−	0.0181316i
$748$	33.3359	−	41.7208i	1.21888	−	1.52546i
$749$	7.90833	+	21.3220i	0.288964	+	0.779089i
$750$	−13.4185	+	6.45420i	−0.489976	+	0.235674i
$751$	−0.0563269	+	0.0401102i	−0.00205540	+	0.00146364i	−0.581084	−	0.813843i	$-0.697371\pi$
$751$	−0.0563269	+	0.0401102i	−0.00205540	+	0.00146364i	0.579029	+	0.815307i	$0.303432\pi$
$752$	−0.545790	−	0.0606635i	−0.0199029	−	0.00221217i
$753$	0.448660	+	0.427796i	0.0163501	+	0.0155898i
$754$	1.39514	+	0.309159i	0.0508081	+	0.0112589i
$755$	−49.0395	−	14.3993i	−1.78473	−	0.524045i
$756$	12.3227	+	25.9977i	0.448171	+	0.945529i
$757$	6.38478	−	44.4071i	0.232059	−	1.61401i	−0.457114	−	0.889408i	$-0.651117\pi$
$757$	6.38478	−	44.4071i	0.232059	−	1.61401i	0.689173	−	0.724597i	$-0.257974\pi$
$758$	−32.7894	+	24.3482i	−1.19096	+	0.884366i
$759$	37.3783	−	22.4446i	1.35674	−	0.814686i
$760$	37.5447	−	44.4105i	1.36189	−	1.61094i
$761$	25.1025	−	31.9205i	0.909966	−	1.15712i	−0.0771353	−	0.997021i	$-0.524577\pi$
$761$	25.1025	−	31.9205i	0.909966	−	1.15712i	0.987102	−	0.160096i	$-0.0511802\pi$
$762$	−0.764361	−	38.3540i	−0.0276899	−	1.38942i
$763$	12.1105	−	7.35138i	0.438428	−	0.266138i
$764$	−1.73886	−	0.179645i	−0.0629096	−	0.00649931i
$765$	1.26150	−	5.19999i	0.0456098	−	0.188006i
$766$	31.2265	+	15.3187i	1.12826	+	0.553486i
$767$	1.74312	+	18.2548i	0.0629405	+	0.659143i
$768$	−5.38040	−	25.6185i	−0.194148	−	0.924427i
$769$	11.5957	+	18.0432i	0.418150	+	0.650655i	0.984878	−	0.173251i	$-0.0554271\pi$
$769$	11.5957	+	18.0432i	0.418150	+	0.650655i	−0.566727	+	0.823905i	$0.691791\pi$
$770$	63.4744	+	33.1827i	2.28746	+	1.19582i
$771$	6.91419	−	0.994111i	0.249009	−	0.0358020i
$772$	−30.1381	+	31.1216i	−1.08469	+	1.12009i
$773$	−0.0155086	+	0.0804661i	−0.000557804	+	0.00289416i	−0.982207	−	0.187804i	$-0.939863\pi$
$773$	−0.0155086	+	0.0804661i	−0.000557804	+	0.00289416i	0.981649	+	0.190698i	$0.0610752\pi$
$774$	0.257522	+	0.0834217i	0.00925644	+	0.00299853i
$775$	35.4010	−	18.2505i	1.27164	−	0.655577i
$776$	12.1195	+	16.5882i	0.435066	+	0.595481i
$777$	16.9442	−	27.6847i	0.607869	−	0.993182i
$778$	7.35030	−	8.83232i	0.263521	−	0.316654i
$779$	2.74643	−	28.7619i	0.0984011	−	1.03050i
$780$	40.9595	+	19.0905i	1.46659	+	0.683548i
$781$	−18.0844	−	31.3232i	−0.647112	−	1.12083i
$782$	−7.35062	−	31.7520i	−0.262857	−	1.13545i
$783$	−1.37045			−0.0489758
$784$	−3.19481	+	27.8171i	−0.114100	+	0.993469i
$785$	−7.81446	−	17.1113i	−0.278910	−	0.610728i
$786$	13.4747	+	36.5589i	0.480626	+	1.30401i
$787$	6.32315	−	18.2695i	0.225396	−	0.651238i	−0.774432	−	0.632658i	$-0.781964\pi$
$787$	6.32315	−	18.2695i	0.225396	−	0.651238i	0.999827	−	0.0185807i	$-0.00591477\pi$
$788$	−0.387194	+	49.9791i	−0.0137932	+	1.78043i
$789$	−15.5311	−	30.1262i	−0.552922	−	1.07252i
$790$	11.2980	+	12.5254i	0.401966	+	0.445633i
$791$	−13.5463	−	5.83020i	−0.481652	−	0.207298i
$792$	4.03103	+	3.09133i	0.143236	+	0.109846i
$793$	4.45508	+	1.78354i	0.158205	+	0.0633355i
$794$	−48.3369	+	12.7514i	−1.71541	+	0.452529i
$795$	−14.0487	+	27.2507i	−0.498257	+	0.966483i
$796$	−7.99372	+	15.2151i	−0.283330	+	0.539284i
$797$	3.95200	+	1.80482i	0.139987	+	0.0639300i	0.484177	−	0.874970i	$-0.339119\pi$
$797$	3.95200	+	1.80482i	0.139987	+	0.0639300i	−0.344190	+	0.938900i	$0.611846\pi$
$798$	33.9953	−	13.3853i	1.20342	−	0.473835i
$799$	0.185865	+	0.632998i	0.00657543	+	0.0223939i
$800$	−37.3259	−	10.7804i	−1.31967	−	0.381144i
$801$	0.110580	−	0.0268264i	0.00390715	−	0.000947865i
$802$	17.9353	+	29.6827i	0.633316	+	1.04813i
$803$	−69.3451	−	54.5336i	−2.44714	−	1.92445i
$804$	−14.4419	+	13.5583i	−0.509326	+	0.478163i
$805$	39.9142	−	17.8216i	1.40679	−	0.628130i
$806$	−30.1722	−	13.0590i	−1.06277	−	0.459984i
$807$	2.10707	−	2.67935i	0.0741722	−	0.0943176i
$808$	−47.6863	−	13.3733i	−1.67760	−	0.470471i
$809$	8.05922	+	33.2206i	0.283347	+	1.16797i	0.918447	+	0.395543i	$0.129444\pi$
$809$	8.05922	+	33.2206i	0.283347	+	1.16797i	−0.635100	+	0.772430i	$0.719041\pi$
$810$	−37.7000	−	8.35420i	−1.32464	−	0.293537i
$811$	−29.4003	+	8.63270i	−1.03238	+	0.303135i	−0.753680	−	0.657242i	$-0.771723\pi$
$811$	−29.4003	+	8.63270i	−1.03238	+	0.303135i	−0.278704	+	0.960377i	$0.589905\pi$
$812$	−1.13217	−	0.705048i	−0.0397313	−	0.0247423i
$813$	−15.1315	+	33.1335i	−0.530686	+	1.16204i
$814$	4.43125	−	58.7576i	0.155315	−	2.05945i
$815$	−29.7578	−	15.3412i	−1.04237	−	0.537380i
$816$	−25.8964	+	17.8426i	−0.906557	+	0.624617i
$817$	1.31359	−	3.28120i	0.0459568	−	0.114794i
$818$	53.9879	−	8.86362i	1.88764	−	0.309909i
$819$	−2.04943	−	2.74818i	−0.0716129	−	0.0960290i
$820$	−31.6042	+	10.6649i	−1.10367	+	0.372434i
$821$	18.6800	−	9.63020i	0.651936	−	0.336096i	−0.100332	−	0.994954i	$-0.531990\pi$
$821$	18.6800	−	9.63020i	0.651936	−	0.336096i	0.752268	+	0.658858i	$0.228960\pi$
$822$	24.1329	−	10.2239i	0.841732	−	0.356599i
$823$	−27.1942	−	9.41201i	−0.947931	−	0.328082i	−0.191010	−	0.981588i	$-0.561176\pi$
$823$	−27.1942	−	9.41201i	−0.947931	−	0.328082i	−0.756921	+	0.653506i	$0.773297\pi$
$824$	22.7914	−	45.5632i	0.793976	−	1.58727i
$825$	−56.7954	+	25.9376i	−1.97736	+	0.903031i
$826$	4.12996	−	16.6100i	0.143700	−	0.577936i
$827$		−	31.8983i		−	1.10921i	−0.832113	−	0.554606i	$-0.812869\pi$
$827$		−	31.8983i		−	1.10921i	0.832113	−	0.554606i	$-0.187131\pi$
$828$	3.00584	−	0.759260i	0.104460	−	0.0263861i
$829$	9.93953	−	5.73859i	0.345214	−	0.199310i	−0.317361	−	0.948305i	$-0.602797\pi$
$829$	9.93953	−	5.73859i	0.345214	−	0.199310i	0.662575	+	0.748995i	$0.269463\pi$
$830$	20.0901	+	0.556105i	0.697339	+	0.0193027i
$831$	35.6943	+	3.40839i	1.23822	+	0.118236i
$832$	12.6411	+	29.4741i	0.438250	+	1.02183i
$833$	32.3096	−	9.35880i	1.11946	−	0.324263i
$834$	−0.373500	+	3.02441i	−0.0129333	+	0.104727i
$835$	18.8096	+	36.4855i	0.650933	+	1.26263i
$836$	43.8214	−	49.7880i	1.51559	−	1.72195i
$837$	30.9604	+	5.96713i	1.07015	+	0.206254i
$838$	23.1839	+	8.74959i	0.800874	+	0.302250i
$839$	0.703039	+	4.88974i	0.0242716	+	0.168813i	0.998352	−	0.0573901i	$-0.0182779\pi$
$839$	0.703039	+	4.88974i	0.0242716	+	0.168813i	−0.974080	+	0.226203i	$0.927369\pi$
$840$	−30.1317	−	29.5143i	−1.03964	−	1.01834i
$841$	−24.3429	+	15.6442i	−0.839411	+	0.539456i
$842$	−42.7852	−	3.22668i	−1.47448	−	0.111199i
$843$	−4.19927	+	0.400982i	−0.144631	+	0.0138105i
$844$	−0.479317	−	0.561898i	−0.0164988	−	0.0193413i
$845$	−10.2801	−	2.49392i	−0.353645	−	0.0857934i
$846$	−0.0598489	+	0.0188764i	−0.00205765	+	0.000648985i
$847$	46.1078	+	25.2863i	1.58428	+	0.868846i
$848$	−20.3224	+	7.77274i	−0.697874	+	0.266917i
$849$	12.7072	+	9.99305i	0.436110	+	0.342961i
$850$	5.36156	+	46.3652i	0.183900	+	1.59031i
$851$	−26.4486	−	24.3657i	−0.906646	−	0.835246i
$852$	4.86096	+	20.7370i	0.166534	+	0.710439i
$853$	−25.6330	−	3.68547i	−0.877658	−	0.126188i	−0.311265	−	0.950323i	$-0.600753\pi$
$853$	−25.6330	−	3.68547i	−0.877658	−	0.126188i	−0.566393	+	0.824135i	$0.691662\pi$
$854$	−3.36824	−	2.95239i	−0.115259	−	0.101029i
$855$	1.87230	−	6.37646i	0.0640312	−	0.218070i
$856$	−12.4113	−	20.9048i	−0.424209	−	0.714511i
$857$	10.7330	−	11.2564i	0.366632	−	0.384513i	−0.514415	−	0.857541i	$-0.671991\pi$
$857$	10.7330	−	11.2564i	0.366632	−	0.384513i	0.881047	+	0.473029i	$0.156839\pi$
$858$	46.2722	+	22.6996i	1.57971	+	0.774952i
$859$	−23.0036	−	32.3040i	−0.784872	−	1.10220i	−0.992289	−	0.123946i	$-0.960445\pi$
$859$	−23.0036	−	32.3040i	−0.784872	−	1.10220i	0.207416	−	0.978253i	$-0.433494\pi$
$860$	−4.07700	+	0.162566i	−0.139024	+	0.00554347i
$861$	−20.6590	−	3.51282i	−0.704056	−	0.119717i
$862$	−0.740057	+	2.71975i	−0.0252064	+	0.0926349i
$863$	2.34179	−	5.84952i	0.0797156	−	0.199120i	−0.883156	−	0.469079i	$-0.844586\pi$
$863$	2.34179	−	5.84952i	0.0797156	−	0.199120i	0.962872	+	0.269959i	$0.0870102\pi$
$864$	−17.9515	−	24.9744i	−0.610724	−	0.849646i
$865$	51.0990	+	9.84853i	1.73742	+	0.334860i
$866$	5.95375	+	27.8886i	0.202317	+	0.947693i
$867$	8.38452	+	5.38840i	0.284753	+	0.183000i
$868$	22.5075	+	20.8577i	0.763954	+	0.707957i
$869$	12.5985	+	14.5394i	0.427374	+	0.493216i
$870$	1.88516	−	0.694821i	0.0639128	−	0.0235566i
$871$	14.0771	−	19.7685i	0.476983	−	0.669829i
$872$	−11.3244	+	10.0567i	−0.383492	+	0.340563i
$873$	2.03316	+	1.17384i	0.0688119	+	0.0397286i
$874$	−7.24261	−	39.8253i	−0.244985	−	1.34711i
$875$	−16.2274	+	5.15467i	−0.548587	+	0.174260i
$876$	29.8056	+	42.5500i	1.00704	+	1.43763i
$877$	53.0963	+	5.07008i	1.79293	+	0.171204i	0.937794	−	0.347192i	$-0.112865\pi$
$877$	53.0963	+	5.07008i	1.79293	+	0.171204i	0.855140	+	0.518397i	$0.173471\pi$
$878$	9.82590	+	1.69147i	0.331608	+	0.0570843i
$879$	0.778497	+	0.269440i	0.0262580	+	0.00908800i
$880$	−73.1253	−	22.7079i	−2.46505	−	0.765484i
$881$	14.5597	−	22.6553i	0.490528	−	0.763276i	−0.504443	−	0.863445i	$-0.668302\pi$
$881$	14.5597	−	22.6553i	0.490528	−	0.763276i	0.994970	+	0.100169i	$0.0319383\pi$
$882$	0.951304	+	3.05506i	0.0320321	+	0.102869i
$883$	31.5248	+	27.3164i	1.06090	+	0.919271i	0.996900	−	0.0786792i	$-0.0250703\pi$
$883$	31.5248	+	27.3164i	1.06090	+	0.919271i	0.0639953	+	0.997950i	$0.479616\pi$
$884$	26.8025	−	27.6771i	0.901465	−	0.930882i
$885$	15.9378	+	20.2665i	0.535743	+	0.681252i
$886$	−30.2035	+	7.96775i	−1.01471	+	0.267682i
$887$	0.318070	+	6.67711i	0.0106797	+	0.224195i	0.997897	+	0.0648164i	$0.0206462\pi$
$887$	0.318070	+	6.67711i	0.0106797	+	0.224195i	−0.987217	+	0.159379i	$0.949051\pi$
$888$	−12.5032	+	32.3685i	−0.419580	+	1.08622i
$889$	5.28730	−	43.5459i	0.177330	−	1.46048i
$890$	−1.42410	+	0.955833i	−0.0477358	+	0.0320396i
$891$	−42.7994	−	10.3830i	−1.43383	−	0.347844i
$892$	15.1056	−	6.75756i	0.505772	−	0.226260i
$893$	0.193173	+	0.796269i	0.00646428	+	0.0266461i
$894$	−6.05736	+	10.9918i	−0.202588	+	0.367620i
$895$	3.97646	−	27.6569i	0.132918	−	0.924467i
$896$	−1.98185	−	29.8676i	−0.0662090	−	0.997806i
$897$	28.3837	−	13.5560i	0.947705	−	0.452622i
$898$	−25.5857	−	34.4558i	−0.853804	−	1.14981i
$899$	−1.35699	+	0.543259i	−0.0452583	+	0.0181187i
$900$	−4.39939	+	0.597788i	−0.146646	+	0.0199263i
$901$	18.0380	+	18.9177i	0.600933	+	0.630241i
$902$	−36.2805	+	11.4429i	−1.20801	+	0.381008i
$903$	−2.30372	−	1.12429i	−0.0766631	−	0.0374140i
$904$	15.3657	+	3.53008i	0.511054	+	0.117409i
$905$	−19.0042	−	26.6876i	−0.631721	−	0.887127i
$906$	28.3532	+	19.3505i	0.941971	+	0.642878i
$907$	24.1527	−	46.8497i	0.801977	−	1.55562i	−0.0291753	−	0.999574i	$-0.509288\pi$
$907$	24.1527	−	46.8497i	0.801977	−	1.55562i	0.831153	−	0.556045i	$-0.187682\pi$
$908$	−0.196666	−	0.502496i	−0.00652660	−	0.0166759i
$909$	−5.60206	+	0.805454i	−0.185808	+	0.0267152i
$910$	43.3107	+	28.1843i	1.43574	+	0.934301i
$911$	−15.3242	−	13.2785i	−0.507715	−	0.439938i	0.362954	−	0.931807i	$-0.381768\pi$
$911$	−15.3242	−	13.2785i	−0.507715	−	0.439938i	−0.870669	+	0.491870i	$0.836314\pi$
$912$	−33.1810	+	20.6048i	−1.09873	+	0.682294i
$913$	22.8961	+	1.09068i	0.757750	+	0.0360961i
$914$	−6.82499	+	2.89140i	−0.225751	+	0.0956390i
$915$	6.62513	−	1.27689i	0.219020	−	0.0422127i
$916$	22.9288	−	11.5966i	0.757587	−	0.383164i
$917$	9.39091	+	43.5524i	0.310115	+	1.43823i
$918$	−19.3531	+	31.4758i	−0.638748	+	1.03886i
$919$	−50.9385	−	29.4094i	−1.68031	−	0.970126i	−0.961455	−	0.274963i	$-0.911334\pi$
$919$	−50.9385	−	29.4094i	−1.68031	−	0.970126i	−0.718853	−	0.695162i	$-0.755332\pi$
$920$	−38.5538	+	26.4069i	−1.27108	+	0.870611i
$921$	−1.36603	−	2.36603i	−0.0450121	−	0.0779632i
$922$	−15.9596	−	29.4989i	−0.525602	−	0.971495i
$923$	−10.8399	−	23.7360i	−0.356799	−	0.781281i
$924$	−33.6884	−	34.3398i	−1.10827	−	1.12970i
$925$	33.7251	+	38.9208i	1.10887	+	1.27971i
$926$	−2.29454	+	3.04053i	−0.0754033	+	0.0999179i
$927$	0.277017	−	5.81530i	0.00909842	−	0.190999i
$928$	1.32604	+	0.524060i	0.0435295	+	0.0172031i
$929$	43.3473	−	15.0026i	1.42218	−	0.492221i	0.495675	−	0.868508i	$-0.334921\pi$
$929$	43.3473	−	15.0026i	1.42218	−	0.492221i	0.926503	+	0.376287i	$0.122799\pi$
$930$	−45.6138	+	7.48878i	−1.49574	+	0.245567i
$931$	40.6357	−	9.70097i	1.33178	−	0.317936i
$932$	−15.5144	+	19.4167i	−0.508190	+	0.636014i
$933$	−0.0235478	−	0.494329i	−0.000770920	−	0.0161836i
$934$	14.3399	−	21.0114i	0.469217	−	0.687515i
$935$	8.74393	+	91.5706i	0.285957	+	2.99468i
$936$	2.68303	+	2.49659i	0.0876975	+	0.0816035i
$937$	8.21190	+	27.9671i	0.268271	+	0.913647i	0.977900	+	0.209072i	$0.0670442\pi$
$937$	8.21190	+	27.9671i	0.268271	+	0.913647i	−0.709629	+	0.704575i	$0.751138\pi$
$938$	−18.5257	+	13.0335i	−0.604884	+	0.425560i
$939$	−4.08060	+	13.8973i	−0.133165	+	0.453520i
$940$	0.748046	−	0.578947i	0.0243986	−	0.0188832i
$941$	−12.0131	−	30.0072i	−0.391615	−	0.978207i	−0.984886	−	0.173204i	$-0.944588\pi$
$941$	−12.0131	−	30.0072i	−0.391615	−	0.978207i	0.593271	−	0.805003i	$-0.297836\pi$
$942$	1.45132	+	12.5506i	0.0472865	+	0.408920i
$943$	−8.25763	+	21.6989i	−0.268906	+	0.706614i
$944$	−1.15369	+	18.2611i	−0.0375496	+	0.594348i
$945$	−46.4006	−	17.4032i	−1.50941	−	0.566126i
$946$	−4.65269	+	0.0927238i	−0.151272	+	0.00301471i
$947$	7.44862	+	7.81189i	0.242048	+	0.253852i	0.833541	−	0.552458i	$-0.186310\pi$
$947$	7.44862	+	7.81189i	0.242048	+	0.253852i	−0.591493	+	0.806310i	$0.701461\pi$
$948$	−4.62631	−	10.3415i	−0.150256	−	0.335876i
$949$	−46.0628	−	43.9208i	−1.49526	−	1.42573i
$950$	3.91144	+	57.8366i	0.126904	+	1.87647i
$951$	−12.3592	+	27.0629i	−0.400775	+	0.877575i
$952$	−32.1815	+	16.0466i	−1.04301	+	0.520074i
$953$	−17.1537	+	11.0240i	−0.555662	+	0.357102i	−0.788137	−	0.615500i	$-0.788954\pi$
$953$	−17.1537	+	11.0240i	−0.555662	+	0.357102i	0.232475	+	0.972602i	$0.425318\pi$
$954$	−1.76498	+	1.75136i	−0.0571432	+	0.0567023i
$955$	2.36690	−	1.86135i	0.0765912	−	0.0602320i
$956$	13.5044	−	3.85187i	0.436764	−	0.124578i
$957$	2.16543	−	0.749462i	0.0699983	−	0.0242267i
$958$	−35.6127	−	39.4814i	−1.15059	−	1.27559i
$959$	28.9627	−	7.70381i	0.935253	−	0.248769i
$960$	37.3558	+	25.2527i	1.20565	+	0.815028i
$961$	2.58217	−	0.497672i	0.0832957	−	0.0160539i
$962$	7.21195	−	41.8949i	0.232523	−	1.35075i
$963$	−2.26309	−	1.61154i	−0.0729270	−	0.0519311i
$964$	−22.2729	+	1.95281i	−0.717363	+	0.0628958i
$965$		−	74.6234i		−	2.40221i
$966$	−29.1917	+	3.12561i	−0.939226	+	0.100565i
$967$			50.4333i			1.62183i	0.585167	+	0.810913i	$0.301029\pi$
$967$			50.4333i			1.62183i	−0.585167	+	0.810913i	$0.698971\pi$
$968$	−53.3452	−	17.7384i	−1.71458	−	0.570135i
$969$	38.2219	+	27.2177i	1.22786	+	0.874358i
$970$	−34.8739	−	6.00333i	−1.11973	−	0.192755i
$971$	−24.0776	+	4.64058i	−0.772687	+	0.148923i	−0.560331	−	0.828269i	$-0.689326\pi$
$971$	−24.0776	+	4.64058i	−0.772687	+	0.148923i	−0.212356	+	0.977192i	$0.568114\pi$
$972$	−5.76564	−	3.38862i	−0.184933	−	0.108690i
$973$	−0.908037	+	3.36423i	−0.0291103	+	0.107852i
$974$	−9.57520	+	8.63693i	−0.306809	+	0.276745i
$975$	−42.5684	+	14.7331i	−1.36328	+	0.471836i
$976$	4.10918	+	2.45810i	0.131532	+	0.0786818i
$977$	−16.8847	+	13.2783i	−0.540190	+	0.424810i	−0.850616	−	0.525787i	$-0.823771\pi$
$977$	−16.8847	+	13.2783i	−0.540190	+	0.424810i	0.310426	+	0.950598i	$0.399528\pi$
$978$	15.8383	+	15.9614i	0.506452	+	0.510391i
$979$	−1.64561	+	1.05757i	−0.0525940	+	0.0338001i
$980$	−29.3796	−	38.2488i	−0.938497	−	1.22181i
$981$	−0.718978	+	1.57434i	−0.0229552	+	0.0502649i
$982$	−51.6832	+	3.49529i	−1.64928	+	0.111539i
$983$	−25.8853	−	24.6816i	−0.825612	−	0.787219i	0.154010	−	0.988069i	$-0.450781\pi$
$983$	−25.8853	−	24.6816i	−0.825612	−	0.787219i	−0.979622	+	0.200850i	$0.935630\pi$
$984$	22.4007	−	0.272843i	0.714109	−	0.00869791i
$985$	−59.4100	−	62.3074i	−1.89296	−	1.98528i
$986$	−0.0341304	−	1.71259i	−0.00108693	−	0.0545401i
$987$	0.586226	−	0.0974772i	0.0186598	−	0.00310273i
$988$	34.8863	−	32.7518i	1.10988	−	1.04197i
$989$	−1.71704	+	2.26226i	−0.0545986	+	0.0719357i
$990$	−8.69223	+	1.00515i	−0.276257	+	0.0319457i
$991$	18.4239	+	46.0207i	0.585254	+	1.46189i	0.864976	+	0.501813i	$0.167334\pi$
$991$	18.4239	+	46.0207i	0.585254	+	1.46189i	−0.279722	+	0.960081i	$0.590242\pi$
$992$	−27.6754	−	17.6131i	−0.878696	−	0.559216i
$993$	10.9037	−	37.1344i	0.346017	−	1.17843i
$994$	2.17684	+	24.2576i	0.0690450	+	0.769405i
$995$	−8.34066	−	28.4057i	−0.264417	−	0.900521i
$996$	−12.7214	−	4.51356i	−0.403092	−	0.143018i
$997$	0.0424726	+	0.444793i	0.00134512	+	0.0140867i	0.996120	−	0.0880103i	$-0.0280508\pi$
$997$	0.0424726	+	0.444793i	0.00134512	+	0.0140867i	−0.994774	+	0.102097i	$0.967445\pi$
$998$	12.8546	+	8.77302i	0.406905	+	0.277705i
$999$	1.93990	+	40.7235i	0.0613757	+	1.28843i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	644.2.be.a.215.15	yes	1840
4.3	odd	2	inner	644.2.be.a.215.54	yes	1840
7.3	odd	6	inner	644.2.be.a.31.47	yes	1840
23.3	even	11	inner	644.2.be.a.187.70	yes	1840
28.3	even	6	inner	644.2.be.a.31.70	yes	1840
92.3	odd	22	inner	644.2.be.a.187.47	yes	1840
161.3	odd	66	inner	644.2.be.a.3.54	yes	1840
644.3	even	66	inner	644.2.be.a.3.15	✓	1840

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
644.2.be.a.3.15	✓	1840	644.3	even	66	inner
644.2.be.a.3.54	yes	1840	161.3	odd	66	inner
644.2.be.a.31.47	yes	1840	7.3	odd	6	inner
644.2.be.a.31.70	yes	1840	28.3	even	6	inner
644.2.be.a.187.47	yes	1840	92.3	odd	22	inner
644.2.be.a.187.70	yes	1840	23.3	even	11	inner
644.2.be.a.215.15	yes	1840	1.1	even	1	trivial
644.2.be.a.215.54	yes	1840	4.3	odd	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 644 = 2^{2} \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	644.be (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.24384 + 0.672947i) q^{2} +(-0.949023 + 1.33272i) q^{3} +(1.09428 - 1.67408i) q^{4} +(0.651971 + 3.38275i) q^{5} +(0.283586 - 2.29633i) q^{6} +(0.689441 - 2.55434i) q^{7} +(-0.234547 + 2.81869i) q^{8} +(0.105716 + 0.305446i) q^{9} +O(q^{10})\)	\(q+(-1.24384 + 0.672947i) q^{2} +(-0.949023 + 1.33272i) q^{3} +(1.09428 - 1.67408i) q^{4} +(0.651971 + 3.38275i) q^{5} +(0.283586 - 2.29633i) q^{6} +(0.689441 - 2.55434i) q^{7} +(-0.234547 + 2.81869i) q^{8} +(0.105716 + 0.305446i) q^{9} +(-3.08736 - 3.76886i) q^{10} +(-3.43486 - 4.36778i) q^{11} +(1.19257 + 3.04711i) q^{12} +(-2.16733 - 3.37243i) q^{13} +(0.861384 + 3.64116i) q^{14} +(-5.12698 - 2.34141i) q^{15} +(-1.60509 - 3.66384i) q^{16} +(-3.31610 + 3.47783i) q^{17} +(-0.337043 - 0.308785i) q^{18} +(-4.31941 + 4.11855i) q^{19} +(6.37643 + 2.61023i) q^{20} +(2.74992 + 3.34296i) q^{21} +(7.21171 + 3.12135i) q^{22} +(4.22435 - 2.27043i) q^{23} +(-3.53392 - 2.98758i) q^{24} +(-6.37607 + 2.55259i) q^{25} +(4.96528 + 2.73627i) q^{26} +(-5.21684 - 1.53180i) q^{27} +(-3.52173 - 3.94936i) q^{28} +(0.241846 - 0.0710123i) q^{29} +(7.95279 - 0.537841i) q^{30} +(-5.77285 + 0.551241i) q^{31} +(4.46204 + 3.47709i) q^{32} +(9.08077 - 0.432570i) q^{33} +(1.78431 - 6.55743i) q^{34} +(9.09019 + 0.666846i) q^{35} +(0.627024 + 0.157268i) q^{36} +(-2.45250 - 7.08604i) q^{37} +(2.60110 - 8.02957i) q^{38} +(6.55134 + 0.312079i) q^{39} +(-9.68782 + 1.04429i) q^{40} +(-3.65865 + 3.17024i) q^{41} +(-5.67010 - 2.30756i) q^{42} +(-0.538681 + 0.246007i) q^{43} +(-11.0707 + 0.970642i) q^{44} +(-0.964323 + 0.556752i) q^{45} +(-3.72655 + 5.66682i) q^{46} +(0.0686439 - 0.118895i) q^{47} +(6.40612 + 1.33794i) q^{48} +(-6.04934 - 3.52214i) q^{49} +(6.21306 - 7.46578i) q^{50} +(-1.48790 - 7.71996i) q^{51} +(-8.01739 - 0.0621118i) q^{52} +(0.258823 - 5.43336i) q^{53} +(7.51974 - 1.60534i) q^{54} +(12.5357 - 14.4669i) q^{55} +(7.03818 + 2.54243i) q^{56} +(-1.38964 - 9.66516i) q^{57} +(-0.253030 + 0.251078i) q^{58} +(-4.06587 - 2.09610i) q^{59} +(-9.53008 + 6.02080i) q^{60} +(-0.975104 + 0.694368i) q^{61} +(6.80956 - 4.57048i) q^{62} +(0.853099 - 0.0594477i) q^{63} +(-7.88998 - 1.32223i) q^{64} +(9.99504 - 9.53025i) q^{65} +(-11.0039 + 6.64893i) q^{66} +(2.24996 + 5.62012i) q^{67} +(2.19341 + 9.35714i) q^{68} +(-0.983170 + 7.78455i) q^{69} +(-11.7555 + 5.28777i) q^{70} +(6.44292 + 0.926352i) q^{71} +(-0.885752 + 0.226338i) q^{72} +(15.4290 - 3.74303i) q^{73} +(7.81906 + 7.16351i) q^{74} +(2.64915 - 10.9200i) q^{75} +(2.16812 + 11.7379i) q^{76} +(-13.5249 + 5.76249i) q^{77} +(-8.35884 + 4.02053i) q^{78} +(-3.45834 + 0.164741i) q^{79} +(11.3474 - 7.81832i) q^{80} +(6.23014 - 4.89944i) q^{81} +(2.41738 - 6.40536i) q^{82} +(-2.70143 + 3.11762i) q^{83} +(8.60557 - 0.945440i) q^{84} +(-13.9266 - 8.95008i) q^{85} +(0.504484 - 0.668498i) q^{86} +(-0.134878 + 0.389704i) q^{87} +(13.1170 - 8.65734i) q^{88} +(0.0334635 - 0.350446i) q^{89} +(0.824800 - 1.34145i) q^{90} +(-10.1086 + 3.21101i) q^{91} +(0.821760 - 9.55640i) q^{92} +(4.74392 - 8.21671i) q^{93} +(-0.00537223 + 0.194080i) q^{94} +(-16.7482 - 11.9263i) q^{95} +(-8.86856 + 2.64680i) q^{96} +(5.48928 - 4.75649i) q^{97} +(9.89464 + 0.310092i) q^{98} +(0.971002 - 1.51091i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1840 q - 7 q^{2} - 11 q^{4} - 54 q^{5} - 40 q^{8} + 66 q^{9}+O(q^{10}) \) 1840 * q - 7 * q^2 - 11 * q^4 - 54 * q^5 - 40 * q^8 + 66 * q^9	\( 1840 q - 7 q^{2} - 11 q^{4} - 54 q^{5} - 40 q^{8} + 66 q^{9} - 27 q^{10} - 27 q^{12} - 14 q^{14} - 19 q^{16} - 54 q^{17} - q^{18} - 40 q^{21} - 56 q^{22} - 78 q^{24} - 94 q^{25} - 9 q^{26} + 12 q^{28} - 120 q^{29} - 19 q^{30} + 3 q^{32} - 54 q^{33} - 114 q^{36} - 2 q^{37} - 87 q^{38} - 57 q^{40} - 114 q^{42} + 72 q^{44} - 132 q^{45} - 9 q^{46} - 20 q^{49} - 186 q^{50} + 3 q^{52} - 34 q^{53} - 51 q^{54} - 93 q^{56} - 64 q^{57} + 22 q^{58} - 11 q^{60} - 54 q^{61} - 8 q^{64} - 46 q^{65} + 150 q^{66} - 30 q^{68} - 10 q^{70} + 43 q^{72} - 54 q^{73} + 6 q^{74} - 16 q^{77} - 212 q^{78} + 216 q^{80} - 58 q^{81} - 57 q^{82} - 102 q^{84} + 152 q^{85} + 3 q^{86} + 144 q^{88} - 174 q^{89} - 250 q^{92} - 64 q^{93} + 216 q^{94} - 69 q^{96} - 44 q^{98}+O(q^{100}) \) 1840 * q - 7 * q^2 - 11 * q^4 - 54 * q^5 - 40 * q^8 + 66 * q^9 - 27 * q^10 - 27 * q^12 - 14 * q^14 - 19 * q^16 - 54 * q^17 - q^18 - 40 * q^21 - 56 * q^22 - 78 * q^24 - 94 * q^25 - 9 * q^26 + 12 * q^28 - 120 * q^29 - 19 * q^30 + 3 * q^32 - 54 * q^33 - 114 * q^36 - 2 * q^37 - 87 * q^38 - 57 * q^40 - 114 * q^42 + 72 * q^44 - 132 * q^45 - 9 * q^46 - 20 * q^49 - 186 * q^50 + 3 * q^52 - 34 * q^53 - 51 * q^54 - 93 * q^56 - 64 * q^57 + 22 * q^58 - 11 * q^60 - 54 * q^61 - 8 * q^64 - 46 * q^65 + 150 * q^66 - 30 * q^68 - 10 * q^70 + 43 * q^72 - 54 * q^73 + 6 * q^74 - 16 * q^77 - 212 * q^78 + 216 * q^80 - 58 * q^81 - 57 * q^82 - 102 * q^84 + 152 * q^85 + 3 * q^86 + 144 * q^88 - 174 * q^89 - 250 * q^92 - 64 * q^93 + 216 * q^94 - 69 * q^96 - 44 * q^98

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