LMFDB - Embedded newform 483.2.bb.a.26.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(26,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 55, 48]))

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

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

chi := DirichletCharacter("483.26");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bb (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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			26.8
Character	$\chi$	$=$	483.26
Dual form			483.2.bb.a.353.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.821614 + 2.05229i) q^{2} +(1.54581 - 0.781324i) q^{3} +(-2.08939 - 1.99223i) q^{4} +(-0.851870 - 2.46132i) q^{5} +(0.333444 + 3.81440i) q^{6} +(2.30607 + 1.29693i) q^{7} +(1.78355 - 0.814520i) q^{8} +(1.77907 - 2.41556i) q^{9} +O(q^{10})$	\(q+(-0.821614 + 2.05229i) q^{2} +(1.54581 - 0.781324i) q^{3} +(-2.08939 - 1.99223i) q^{4} +(-0.851870 - 2.46132i) q^{5} +(0.333444 + 3.81440i) q^{6} +(2.30607 + 1.29693i) q^{7} +(1.78355 - 0.814520i) q^{8} +(1.77907 - 2.41556i) q^{9} +(5.75125 + 0.273966i) q^{10} +(-2.16153 - 5.39925i) q^{11} +(-4.78637 - 1.44712i) q^{12} +(-0.197359 + 0.307097i) q^{13} +(-4.55639 + 3.66715i) q^{14} +(-3.23991 - 3.13915i) q^{15} +(-0.0684899 - 1.43778i) q^{16} +(-1.22784 - 5.06124i) q^{17} +(3.49572 + 5.63582i) q^{18} +(-5.68039 - 1.37805i) q^{19} +(-3.12361 + 6.83976i) q^{20} +(4.57808 + 0.203030i) q^{21} +12.8568 q^{22} +(4.02801 + 2.60291i) q^{23} +(2.12063 - 2.65262i) q^{24} +(-1.40213 + 1.10265i) q^{25} +(-0.468100 - 0.657354i) q^{26} +(0.862770 - 5.12402i) q^{27} +(-2.23448 - 7.30401i) q^{28} +(-1.38526 + 4.71778i) q^{29} +(9.10440 - 4.07009i) q^{30} +(6.29609 + 4.48343i) q^{31} +(6.71281 + 2.32333i) q^{32} +(-7.55988 - 6.65736i) q^{33} +(11.3960 + 1.63849i) q^{34} +(1.22769 - 6.78079i) q^{35} +(-8.52949 + 1.50273i) q^{36} +(4.34027 - 0.836518i) q^{37} +(7.49524 - 10.5256i) q^{38} +(-0.0651381 + 0.628916i) q^{39} +(-3.52414 - 3.69602i) q^{40} +(0.482513 - 0.556850i) q^{41} +(-4.17809 + 9.22874i) q^{42} +(-0.118254 + 0.258940i) q^{43} +(-6.24024 + 15.5874i) q^{44} +(-7.46099 - 2.32111i) q^{45} +(-8.65139 + 6.12807i) q^{46} +(2.55075 - 4.41804i) q^{47} +(-1.22924 - 2.16902i) q^{48} +(3.63592 + 5.98165i) q^{49} +(-1.11094 - 3.78353i) q^{50} +(-5.85248 - 6.86438i) q^{51} +(1.02417 - 0.248460i) q^{52} +(-5.22842 + 10.1417i) q^{53} +(9.80713 + 5.98063i) q^{54} +(-11.4479 + 9.91967i) q^{55} +(5.16937 + 0.434808i) q^{56} +(-9.85751 + 2.30802i) q^{57} +(-8.54411 - 6.71916i) q^{58} +(-0.342225 + 7.18419i) q^{59} +(0.515547 + 13.0135i) q^{60} +(0.369557 - 3.87018i) q^{61} +(-14.3743 + 9.23778i) q^{62} +(7.23547 - 3.26311i) q^{63} +(-8.39826 + 9.69211i) q^{64} +(0.923988 + 0.224157i) q^{65} +(19.8742 - 10.0453i) q^{66} +(8.71434 - 6.85303i) q^{67} +(-7.51769 + 13.0210i) q^{68} +(8.26026 + 0.876422i) q^{69} +(12.9075 + 8.09078i) q^{70} +(7.76326 - 1.11619i) q^{71} +(1.20553 - 5.75735i) q^{72} +(2.15529 - 2.26040i) q^{73} +(-1.84924 + 9.59479i) q^{74} +(-1.30590 + 2.80000i) q^{75} +(9.12314 + 14.1959i) q^{76} +(2.01782 - 15.2544i) q^{77} +(-1.23720 - 0.650408i) q^{78} +(-10.6636 + 5.49748i) q^{79} +(-3.48049 + 1.39338i) q^{80} +(-2.66984 - 8.59488i) q^{81} +(0.746379 + 1.44777i) q^{82} +(0.319479 + 0.368698i) q^{83} +(-9.16089 - 9.54477i) q^{84} +(-11.4114 + 7.33363i) q^{85} +(-0.434262 - 0.455441i) q^{86} +(1.54475 + 8.37514i) q^{87} +(-8.25299 - 7.86921i) q^{88} +(1.54266 + 2.16637i) q^{89} +(10.8936 - 13.4051i) q^{90} +(-0.853409 + 0.452225i) q^{91} +(-3.23050 - 13.4632i) q^{92} +(13.2356 + 2.01125i) q^{93} +(6.97137 + 8.86481i) q^{94} +(1.44714 + 15.1551i) q^{95} +(12.1920 - 1.65345i) q^{96} +(-1.46377 - 1.26836i) q^{97} +(-15.2634 + 2.54737i) q^{98} +(-16.8877 - 4.38431i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{8}{11}\right)$

Coefficient data

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

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

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

$2$	−0.821614	+	2.05229i	−0.580969	+	1.45119i	0.288635	+	0.957439i	$0.406799\pi$
$2$	−0.821614	+	2.05229i	−0.580969	+	1.45119i	−0.869604	+	0.493750i	$0.835626\pi$
$3$	1.54581	−	0.781324i	0.892475	−	0.451097i
$3$	1.54581	−	0.781324i	0.892475	−	0.451097i
$4$	−2.08939	−	1.99223i	−1.04469	−	0.996113i
$5$	−0.851870	−	2.46132i	−0.380968	−	1.10073i	−0.958678	−	0.284492i	$-0.908175\pi$
$5$	−0.851870	−	2.46132i	−0.380968	−	1.10073i	0.577711	−	0.816242i	$-0.303946\pi$
$6$	0.333444	+	3.81440i	0.136128	+	1.55722i
$7$	2.30607	+	1.29693i	0.871613	+	0.490195i
$7$	2.30607	+	1.29693i	0.871613	+	0.490195i
$8$	1.78355	−	0.814520i	0.630580	−	0.287976i
$9$	1.77907	−	2.41556i	0.593022	−	0.805186i
$10$	5.75125	+	0.273966i	1.81870	+	0.0866356i
$11$	−2.16153	−	5.39925i	−0.651726	−	1.62793i	−0.772321	−	0.635232i	$-0.780904\pi$
$11$	−2.16153	−	5.39925i	−0.651726	−	1.62793i	0.120595	−	0.992702i	$-0.461520\pi$
$12$	−4.78637	−	1.44712i	−1.38171	−	0.417747i
$13$	−0.197359	+	0.307097i	−0.0547376	+	0.0851734i	−0.867544	−	0.497361i	$-0.834302\pi$
$13$	−0.197359	+	0.307097i	−0.0547376	+	0.0851734i	0.812806	+	0.582534i	$0.197939\pi$
$14$	−4.55639	+	3.66715i	−1.21775	+	0.980087i
$15$	−3.23991	−	3.13915i	−0.836542	−	0.810524i
$16$	−0.0684899	−	1.43778i	−0.0171225	−	0.359445i
$17$	−1.22784	−	5.06124i	−0.297796	−	1.22753i	−0.902363	−	0.430977i	$-0.858169\pi$
$17$	−1.22784	−	5.06124i	−0.297796	−	1.22753i	0.604567	−	0.796554i	$-0.293346\pi$
$18$	3.49572	+	5.63582i	0.823950	+	1.32838i
$19$	−5.68039	−	1.37805i	−1.30317	−	0.316146i	−0.476670	−	0.879082i	$-0.658156\pi$
$19$	−5.68039	−	1.37805i	−1.30317	−	0.316146i	−0.826500	+	0.562937i	$0.809671\pi$
$20$	−3.12361	+	6.83976i	−0.698461	+	1.52942i
$21$	4.57808	+	0.203030i	0.999018	+	0.0443047i
$22$	12.8568			2.74107
$23$	4.02801	+	2.60291i	0.839899	+	0.542743i
$23$	4.02801	+	2.60291i	0.839899	+	0.542743i
$24$	2.12063	−	2.65262i	0.432871	−	0.541465i
$25$	−1.40213	+	1.10265i	−0.280426	+	0.220529i
$26$	−0.468100	−	0.657354i	−0.0918019	−	0.128918i
$27$	0.862770	−	5.12402i	0.166040	−	0.986119i
$28$	−2.23448	−	7.30401i	−0.422278	−	1.38033i
$29$	−1.38526	+	4.71778i	−0.257237	+	0.876070i	0.725051	+	0.688695i	$0.241816\pi$
$29$	−1.38526	+	4.71778i	−0.257237	+	0.876070i	−0.982289	+	0.187375i	$0.940002\pi$
$30$	9.10440	−	4.07009i	1.66223	−	0.743093i
$31$	6.29609	+	4.48343i	1.13081	+	0.805248i	0.982970	−	0.183764i	$-0.0588281\pi$
$31$	6.29609	+	4.48343i	1.13081	+	0.805248i	0.147841	+	0.989011i	$0.452767\pi$
$32$	6.71281	+	2.32333i	1.18667	+	0.410710i
$33$	−7.55988	−	6.65736i	−1.31601	−	1.15890i
$34$	11.3960	+	1.63849i	1.95439	+	0.280999i
$35$	1.22769	−	6.78079i	0.207518	−	1.14616i
$36$	−8.52949	+	1.50273i	−1.42158	+	0.250455i
$37$	4.34027	−	0.836518i	0.713536	−	0.137523i	0.180450	−	0.983584i	$-0.442245\pi$
$37$	4.34027	−	0.836518i	0.713536	−	0.137523i	0.533085	+	0.846061i	$0.321032\pi$
$38$	7.49524	−	10.5256i	1.21589	−	1.70748i
$39$	−0.0651381	+	0.628916i	−0.0104305	+	0.100707i
$40$	−3.52414	−	3.69602i	−0.557216	−	0.584391i
$41$	0.482513	−	0.556850i	0.0753559	−	0.0869653i	−0.716820	−	0.697259i	$-0.754403\pi$
$41$	0.482513	−	0.556850i	0.0753559	−	0.0869653i	0.792176	+	0.610293i	$0.208948\pi$
$42$	−4.17809	+	9.22874i	−0.644693	+	1.42403i
$43$	−0.118254	+	0.258940i	−0.0180336	+	0.0394880i	−0.918434	−	0.395573i	$-0.870546\pi$
$43$	−0.118254	+	0.258940i	−0.0180336	+	0.0394880i	0.900401	+	0.435061i	$0.143273\pi$
$44$	−6.24024	+	15.5874i	−0.940752	+	2.34988i
$45$	−7.46099	−	2.32111i	−1.11222	−	0.346010i
$46$	−8.65139	+	6.12807i	−1.27558	+	0.903535i
$47$	2.55075	−	4.41804i	0.372066	−	0.644437i	−0.617817	−	0.786322i	$-0.711983\pi$
$47$	2.55075	−	4.41804i	0.372066	−	0.644437i	0.989883	+	0.141885i	$0.0453163\pi$
$48$	−1.22924	−	2.16902i	−0.177426	−	0.313072i
$49$	3.63592	+	5.98165i	0.519417	+	0.854521i
$50$	−1.11094	−	3.78353i	−0.157111	−	0.535072i
$51$	−5.85248	−	6.86438i	−0.819511	−	0.961206i
$52$	1.02417	−	0.248460i	0.142026	−	0.0344552i
$53$	−5.22842	+	10.1417i	−0.718179	+	1.39307i	0.193056	+	0.981188i	$0.438160\pi$
$53$	−5.22842	+	10.1417i	−0.718179	+	1.39307i	−0.911235	+	0.411886i	$0.864870\pi$
$54$	9.80713	+	5.98063i	1.33458	+	0.813860i
$55$	−11.4479	+	9.91967i	−1.54364	+	1.33757i
$56$	5.16937	+	0.434808i	0.690786	+	0.0581036i
$57$	−9.85751	+	2.30802i	−1.30566	+	0.305705i
$58$	−8.54411	−	6.71916i	−1.12190	−	0.882269i
$59$	−0.342225	+	7.18419i	−0.0445539	+	0.935302i	0.860355	+	0.509696i	$0.170242\pi$
$59$	−0.342225	+	7.18419i	−0.0445539	+	0.935302i	−0.904908	+	0.425606i	$0.860061\pi$
$60$	0.515547	+	13.0135i	0.0665568	+	1.68004i
$61$	0.369557	−	3.87018i	0.0473170	−	0.495526i	−0.940488	−	0.339828i	$-0.889631\pi$
$61$	0.369557	−	3.87018i	0.0473170	−	0.495526i	0.987805	−	0.155698i	$-0.0497627\pi$
$62$	−14.3743	+	9.23778i	−1.82553	+	1.17320i
$63$	7.23547	−	3.26311i	0.911584	−	0.411114i
$64$	−8.39826	+	9.69211i	−1.04978	+	1.21151i
$65$	0.923988	+	0.224157i	0.114607	+	0.0278033i
$66$	19.8742	−	10.0453i	2.44634	−	1.23649i
$67$	8.71434	−	6.85303i	1.06463	−	0.837231i	0.0774705	−	0.996995i	$-0.475316\pi$
$67$	8.71434	−	6.85303i	1.06463	−	0.837231i	0.987155	+	0.159764i	$0.0510732\pi$
$68$	−7.51769	+	13.0210i	−0.911654	+	1.57903i
$69$	8.26026	+	0.876422i	0.994418	+	0.105509i
$70$	12.9075	+	8.09078i	1.54274	+	0.967033i
$71$	7.76326	−	1.11619i	0.921330	−	0.132467i	0.334702	−	0.942324i	$-0.391364\pi$
$71$	7.76326	−	1.11619i	0.921330	−	0.132467i	0.586628	+	0.809857i	$0.300455\pi$
$72$	1.20553	−	5.75735i	0.142074	−	0.678511i
$73$	2.15529	−	2.26040i	0.252257	−	0.264560i	−0.585414	−	0.810734i	$-0.699068\pi$
$73$	2.15529	−	2.26040i	0.252257	−	0.264560i	0.837671	+	0.546175i	$0.183917\pi$
$74$	−1.84924	+	9.59479i	−0.214970	+	1.11537i
$75$	−1.30590	+	2.80000i	−0.150793	+	0.323316i
$76$	9.12314	+	14.1959i	1.04650	+	1.62838i
$77$	2.01782	−	15.2544i	0.229952	−	1.73840i
$78$	−1.23720	−	0.650408i	−0.140085	−	0.0736443i
$79$	−10.6636	+	5.49748i	−1.19975	+	0.618515i	−0.938005	−	0.346622i	$-0.887329\pi$
$79$	−10.6636	+	5.49748i	−1.19975	+	0.618515i	−0.261746	+	0.965137i	$0.584298\pi$
$80$	−3.48049	+	1.39338i	−0.389130	+	0.155784i
$81$	−2.66984	−	8.59488i	−0.296649	−	0.954987i
$82$	0.746379	+	1.44777i	0.0824237	+	0.159880i
$83$	0.319479	+	0.368698i	0.0350673	+	0.0404699i	0.773012	−	0.634391i	$-0.218749\pi$
$83$	0.319479	+	0.368698i	0.0350673	+	0.0404699i	−0.737945	+	0.674861i	$0.764204\pi$
$84$	−9.16089	−	9.54477i	−0.999535	−	1.04142i
$85$	−11.4114	+	7.33363i	−1.23773	+	0.795444i
$86$	−0.434262	−	0.455441i	−0.0468277	−	0.0491115i
$87$	1.54475	+	8.37514i	0.165615	+	0.897909i
$88$	−8.25299	−	7.86921i	−0.879772	−	0.838861i
$89$	1.54266	+	2.16637i	0.163522	+	0.229634i	0.888204	−	0.459449i	$-0.151953\pi$
$89$	1.54266	+	2.16637i	0.163522	+	0.229634i	−0.724682	+	0.689083i	$0.758014\pi$
$90$	10.8936	−	13.4051i	1.14829	−	1.41302i
$91$	−0.853409	+	0.452225i	−0.0894616	+	0.0474061i
$92$	−3.23050	−	13.4632i	−0.336803	−	1.40363i
$93$	13.2356	+	2.01125i	1.37247	+	0.208557i
$94$	6.97137	+	8.86481i	0.719042	+	0.914336i
$95$	1.44714	+	15.1551i	0.148474	+	1.55489i
$96$	12.1920	−	1.65345i	1.24434	−	0.168755i
$97$	−1.46377	−	1.26836i	−0.148623	−	0.128783i	0.577376	−	0.816479i	$-0.304077\pi$
$97$	−1.46377	−	1.26836i	−0.148623	−	0.128783i	−0.725999	+	0.687696i	$0.758622\pi$
$98$	−15.2634	+	2.54737i	−1.54184	+	0.257323i
$99$	−16.8877	−	4.38431i	−1.69728	−	0.440640i
$100$	5.12631	+	0.489504i	0.512631	+	0.0489504i
$101$	3.59411	−	10.3845i	0.357627	−	1.03330i	−0.612453	−	0.790507i	$-0.709817\pi$
$101$	3.59411	−	10.3845i	0.357627	−	1.03330i	0.970079	−	0.242788i	$-0.0780618\pi$
$102$	18.8962	−	6.37113i	1.87100	−	0.630836i
$103$	3.36918	−	4.28426i	0.331975	−	0.422141i	−0.591197	−	0.806527i	$-0.701345\pi$
$103$	3.36918	−	4.28426i	0.331975	−	0.422141i	0.923172	+	0.384386i	$0.125587\pi$
$104$	−0.101863	+	0.708476i	−0.00998854	+	0.0694718i
$105$	−3.40020	−	11.4410i	−0.331826	−	1.11653i
$106$	−16.5180	−	19.0628i	−1.60437	−	1.85155i
$107$	−1.29173	+	13.5276i	−0.124876	+	1.30776i	0.688165	+	0.725554i	$0.258416\pi$
$107$	−1.29173	+	13.5276i	−0.124876	+	1.30776i	−0.813041	+	0.582206i	$0.802190\pi$
$108$	−12.0109	+	8.98723i	−1.15575	+	0.864797i
$109$	−0.252556	−	1.04105i	−0.0241905	−	0.0997144i	0.958437	−	0.285306i	$-0.0920951\pi$
$109$	−0.252556	−	1.04105i	−0.0241905	−	0.0997144i	−0.982627	+	0.185591i	$0.940580\pi$
$110$	−10.9523	−	31.6446i	−1.04426	−	3.01719i
$111$	6.05565	−	4.68425i	0.574776	−	0.444610i
$112$	1.70676	−	3.40445i	0.161274	−	0.321690i
$113$	−16.6460	+	2.39334i	−1.56593	+	0.225146i	−0.870031	−	0.492996i	$-0.835902\pi$
$113$	−16.6460	+	2.39334i	−1.56593	+	0.225146i	−0.695896	+	0.718143i	$0.744993\pi$
$114$	3.36234	−	22.1268i	0.314912	−	2.07236i
$115$	2.97523	−	12.1315i	0.277442	−	1.13127i
$116$	12.2932	−	7.09750i	1.14140	−	0.658986i
$117$	0.390695	+	1.02308i	0.0361198	+	0.0945837i
$118$	−14.4629	−	6.60498i	−1.33142	−	0.608038i
$119$	3.73260	−	13.2640i	0.342167	−	1.21591i
$120$	−8.33545	−	2.95985i	−0.760919	−	0.270196i
$121$	−16.5186	+	15.7504i	−1.50169	+	1.43186i
$122$	7.63911	+	3.93823i	0.691612	+	0.356551i
$123$	0.310794	−	1.23778i	0.0280234	−	0.111607i
$124$	−4.22297	−	21.9109i	−0.379234	−	1.96765i
$125$	−7.04710	−	4.52890i	−0.630312	−	0.405077i
$126$	0.752094	+	17.5303i	0.0670019	+	1.56173i
$127$	−0.778146	+	5.41212i	−0.0690493	+	0.480248i	0.925729	+	0.378188i	$0.123453\pi$
$127$	−0.778146	+	5.41212i	−0.0690493	+	0.480248i	−0.994778	+	0.102060i	$0.967456\pi$
$128$	−6.48089	−	12.5712i	−0.572835	−	1.11115i
$129$	0.0195176	+	0.492668i	0.00171843	+	0.0433770i
$130$	−1.21920	+	1.71212i	−0.106931	+	0.150163i
$131$	0.683680	+	14.3522i	0.0597334	+	1.25396i	0.807448	+	0.589938i	$0.200848\pi$
$131$	0.683680	+	14.3522i	0.0597334	+	1.25396i	−0.747715	+	0.664020i	$0.768849\pi$
$132$	2.53254	+	28.9708i	0.220429	+	2.52158i
$133$	−11.3121	−	10.5450i	−0.980886	−	0.914364i
$134$	6.90460	+	23.5149i	0.596467	+	2.03138i
$135$	−13.3468	+	2.24145i	−1.14871	+	0.192913i
$136$	−6.31240	−	8.02687i	−0.541284	−	0.688299i
$137$	15.5469	−	8.97600i	1.32826	−	0.766872i	0.343230	−	0.939251i	$-0.388479\pi$
$137$	15.5469	−	8.97600i	1.32826	−	0.766872i	0.985031	+	0.172380i	$0.0551457\pi$
$138$	−8.58542	+	16.2324i	−0.730839	+	1.38179i
$139$		−	15.4865i		−	1.31355i	−0.754087	−	0.656774i	$-0.771920\pi$
$139$		−	15.4865i		−	1.31355i	0.754087	−	0.656774i	$-0.228080\pi$
$140$	−16.0740	+	11.7218i	−1.35850	+	0.990676i
$141$	0.491070	−	8.82242i	0.0413556	−	0.742981i
$142$	−4.08766	+	16.8496i	−0.343029	+	1.41398i
$143$	2.08469	+	0.401791i	0.174331	+	0.0335995i
$144$	−3.59489	−	2.39246i	−0.299574	−	0.199372i
$145$	12.7920	−	0.609359i	1.06232	−	0.0506045i
$146$	2.86819	+	6.28045i	0.237373	+	0.519774i
$147$	10.2940	+	6.40567i	0.849039	+	0.528330i
$148$	−10.7350	−	6.89898i	−0.882414	−	0.567093i
$149$	−4.99768	+	6.35507i	−0.409426	+	0.520628i	−0.946411	−	0.322964i	$-0.895321\pi$
$149$	−4.99768	+	6.35507i	−0.409426	+	0.520628i	0.536985	+	0.843592i	$0.319563\pi$
$150$	−4.67347	−	4.98062i	−0.381587	−	0.406666i
$151$	−0.0925152	+	1.94213i	−0.00752878	+	0.158049i	0.991972	+	0.126457i	$0.0403606\pi$
$151$	−0.0925152	+	1.94213i	−0.00752878	+	0.158049i	−0.999501	+	0.0315915i	$0.989942\pi$
$152$	−11.2537	+	2.16897i	−0.912796	+	0.175927i
$153$	−14.4101	−	6.03836i	−1.16499	−	0.488172i
$154$	29.6486	+	16.6744i	2.38915	+	1.34366i
$155$	5.67168	−	19.3160i	0.455560	−	1.55150i
$156$	1.38904	−	1.18428i	0.111212	−	0.0948181i
$157$	4.53930	−	4.76068i	0.362275	−	0.379944i	−0.517219	−	0.855853i	$-0.673033\pi$
$157$	4.53930	−	4.76068i	0.362275	−	0.379944i	0.879494	+	0.475910i	$0.157881\pi$
$158$	−2.52105	−	26.4017i	−0.200564	−	2.10040i
$159$	−0.158188	+	19.7623i	−0.0125451	+	1.56725i
$160$		−	18.5015i		−	1.46267i
$161$	5.91308	+	11.2266i	0.466016	+	0.884776i
$162$	19.8328	+	1.58238i	1.55821	+	0.124323i
$163$	9.36892	+	3.75075i	0.733830	+	0.293781i	0.708318	−	0.705893i	$-0.249454\pi$
$163$	9.36892	+	3.75075i	0.733830	+	0.293781i	0.0255121	+	0.999675i	$0.491878\pi$
$164$	−2.11753	+	0.202199i	−0.165351	+	0.0157891i
$165$	−9.94584	+	24.2785i	−0.774282	+	1.89008i
$166$	−1.01916	+	0.352736i	−0.0791025	+	0.0273776i
$167$	11.4071	+	3.34941i	0.882704	+	0.259185i	0.691510	−	0.722367i	$-0.256946\pi$
$167$	11.4071	+	3.34941i	0.882704	+	0.259185i	0.191194	+	0.981552i	$0.438764\pi$
$168$	8.33060	−	3.36682i	0.642720	−	0.259756i
$169$	5.34504	+	11.7040i	0.411157	+	0.900308i
$170$	−5.67503	−	29.4448i	−0.435255	−	2.25832i
$171$	−13.4345	+	11.2697i	−1.02737	+	0.861813i
$172$	0.762946	−	0.305437i	0.0581741	−	0.0232894i
$173$	3.07259	+	2.41631i	0.233604	+	0.183709i	0.728099	−	0.685472i	$-0.240404\pi$
$173$	3.07259	+	2.41631i	0.233604	+	0.183709i	−0.494494	+	0.869181i	$0.664647\pi$
$174$	−18.4574	−	3.71084i	−1.39925	−	0.281318i
$175$	−4.66347	+	0.724311i	−0.352525	+	0.0547528i
$176$	−7.61488	+	3.47760i	−0.573993	+	0.262134i
$177$	5.08416	+	11.3728i	0.382149	+	0.854832i
$178$	−5.71349	+	1.38608i	−0.428244	+	0.103891i
$179$	1.62489	−	8.43071i	0.121450	−	0.630141i	−0.869283	−	0.494315i	$-0.835419\pi$
$179$	1.62489	−	8.43071i	0.121450	−	0.630141i	0.990733	−	0.135826i	$-0.0433688\pi$
$180$	10.9647	+	19.7137i	0.817261	+	1.46937i
$181$	3.13457	+	1.43151i	0.232991	+	0.106403i	0.528490	−	0.848940i	$-0.322759\pi$
$181$	3.13457	+	1.43151i	0.232991	+	0.106403i	−0.295499	+	0.955343i	$0.595486\pi$
$182$	−0.226926	−	2.12300i	−0.0168208	−	0.157367i
$183$	−2.45260	−	6.27131i	−0.181301	−	0.463589i
$184$	9.30428	+	1.36152i	0.685921	+	0.100372i
$185$	−5.75628	−	9.97017i	−0.423210	−	0.733021i
$186$	−15.0022	+	25.5108i	−1.10002	+	1.87054i
$187$	−24.6729	+	17.5695i	−1.80426	+	1.28481i
$188$	−14.1312	+	4.14930i	−1.03063	+	0.302619i
$189$	8.63513	−	10.6974i	0.628114	−	0.778122i
$190$	−32.2918	−	9.48172i	−2.34269	−	0.687876i
$191$	10.4039	−	0.495601i	0.752803	−	0.0358604i	0.332327	−	0.943164i	$-0.392166\pi$
$191$	10.4039	−	0.495601i	0.752803	−	0.0358604i	0.420476	+	0.907304i	$0.361863\pi$
$192$	−5.40946	+	21.5439i	−0.390394	+	1.55480i
$193$	0.118179	−	0.341455i	0.00850669	−	0.0245785i	−0.940668	−	0.339330i	$-0.889800\pi$
$193$	0.118179	−	0.341455i	0.00850669	−	0.0245785i	0.949174	+	0.314751i	$0.101921\pi$
$194$	3.80570	−	1.96197i	0.273233	−	0.140862i
$195$	1.60345	−	0.375429i	0.114825	−	0.0268850i
$196$	4.31994	−	19.7415i	0.308567	−	1.41011i
$197$	−0.670146	+	1.04277i	−0.0477459	+	0.0742941i	−0.864306	−	0.502966i	$-0.832242\pi$
$197$	−0.670146	+	1.04277i	−0.0477459	+	0.0742941i	0.816560	+	0.577261i	$0.195878\pi$
$198$	22.8731	−	31.0563i	1.62552	−	2.20707i
$199$	−22.3470	−	15.9132i	−1.58414	−	1.12806i	−0.927481	−	0.373869i	$-0.878031\pi$
$199$	−22.3470	−	15.9132i	−1.58414	−	1.12806i	−0.656656	−	0.754190i	$-0.728030\pi$
$200$	−1.60264	+	3.10869i	−0.113324	+	0.219818i
$201$	8.11629	−	17.4022i	0.572479	−	1.22746i
$202$	18.3590	+	15.9082i	1.29174	+	1.11930i
$203$	−9.31317	+	9.08293i	−0.653656	+	0.637497i
$204$	−1.44730	+	26.0018i	−0.101331	+	1.82049i
$205$	−1.78162	−	0.713253i	−0.124434	−	0.0498158i
$206$	6.02439	+	10.4345i	0.419739	+	0.727009i
$207$	13.4536	−	5.09915i	0.935088	−	0.354416i
$208$	0.455055	+	0.262726i	0.0315524	+	0.0182168i
$209$	4.83792	+	33.6485i	0.334646	+	2.32752i
$210$	26.2740	+	2.42191i	1.81308	+	0.167128i
$211$	−0.594859	+	0.174666i	−0.0409518	+	0.0120245i	−0.302144	−	0.953262i	$-0.597702\pi$
$211$	−0.594859	+	0.174666i	−0.0409518	+	0.0120245i	0.261193	+	0.965287i	$0.415884\pi$
$212$	31.1288	−	10.7738i	2.13794	−	0.739947i
$213$	11.1284	−	7.79104i	0.762508	−	0.533833i
$214$	−26.7012	−	13.7654i	−1.82526	−	0.940986i
$215$	0.738071	+	0.0704773i	0.0503360	+	0.00480651i
$216$	−2.63483	−	9.84170i	−0.179277	−	0.669643i
$217$	8.70452	+	18.5047i	0.590901	+	1.25618i
$218$	2.34404	+	0.337022i	0.158758	+	0.0228260i
$219$	1.56556	−	5.17813i	0.105791	−	0.349905i
$220$	43.6813	+	2.08080i	2.94499	+	0.140287i
$221$	1.79662	+	0.621816i	0.120854	+	0.0418279i
$222$	4.63805	+	16.2766i	0.311286	+	1.09241i
$223$	−4.94256	−	7.69078i	−0.330978	−	0.515013i	0.635384	−	0.772196i	$-0.280842\pi$
$223$	−4.94256	−	7.69078i	−0.330978	−	0.515013i	−0.966363	+	0.257184i	$0.917205\pi$
$224$	12.4670	+	14.0638i	0.832987	+	0.939680i
$225$	0.169025	+	5.34861i	0.0112683	+	0.356574i
$226$	8.76478	−	36.1289i	0.583025	−	2.40326i
$227$	15.0594	−	1.43799i	0.999525	−	0.0954430i	0.417553	−	0.908652i	$-0.362888\pi$
$227$	15.0594	−	1.43799i	0.999525	−	0.0954430i	0.581971	+	0.813209i	$0.302282\pi$
$228$	25.1942	+	14.8160i	1.66853	+	0.981216i
$229$	11.1085	+	6.41348i	0.734069	+	0.423815i	0.819909	−	0.572494i	$-0.194024\pi$
$229$	11.1085	+	6.41348i	0.734069	+	0.423815i	−0.0858402	+	0.996309i	$0.527357\pi$
$230$	22.4530	+	16.0735i	1.48051	+	1.05985i
$231$	−8.79945	−	25.1570i	−0.578961	−	1.65521i
$232$	1.37204	+	9.54272i	0.0900786	+	0.626510i
$233$	−12.4821	+	8.88847i	−0.817730	+	0.582303i	−0.910559	−	0.413379i	$-0.864348\pi$
$233$	−12.4821	+	8.88847i	−0.817730	+	0.582303i	0.0928292	+	0.995682i	$0.470409\pi$
$234$	−2.42066	−	0.0387550i	−0.158243	−	0.00253349i
$235$	−13.0471	−	2.51462i	−0.851099	−	0.164036i
$236$	15.0276	−	14.3288i	0.978212	−	0.932723i
$237$	−12.1886	+	16.8298i	−0.791737	+	1.09321i
$238$	24.1549	+	18.5583i	1.56573	+	1.20296i
$239$	11.2565	−	9.75380i	0.728121	−	0.630921i	−0.209810	−	0.977742i	$-0.567285\pi$
$239$	11.2565	−	9.75380i	0.728121	−	0.630921i	0.937931	+	0.346822i	$0.112739\pi$
$240$	−4.29150	+	4.87328i	−0.277015	+	0.314569i
$241$	9.08981	+	22.7053i	0.585526	+	1.46257i	0.864678	+	0.502327i	$0.167523\pi$
$241$	9.08981	+	22.7053i	0.585526	+	1.46257i	−0.279151	+	0.960247i	$0.590053\pi$
$242$	−18.7526	−	46.8417i	−1.20546	−	3.01110i
$243$	−10.8425	−	11.2001i	−0.695544	−	0.718484i
$244$	−8.48242	+	7.35006i	−0.543031	+	0.470539i
$245$	11.6254	−	14.0447i	0.742719	−	0.897285i
$246$	2.28494	+	1.65482i	0.145682	+	0.105508i
$247$	1.54427	−	1.47246i	0.0982597	−	0.0936904i
$248$	14.8812	+	2.86812i	0.944960	+	0.182126i
$249$	0.781927	+	0.320322i	0.0495526	+	0.0202996i
$250$	15.0846	−	10.7417i	0.954035	−	0.679365i
$251$	−1.38258	−	9.61607i	−0.0872678	−	0.606961i	−0.985784	−	0.168020i	$-0.946263\pi$
$251$	−1.38258	−	9.61607i	−0.0872678	−	0.606961i	0.898516	−	0.438941i	$-0.144646\pi$
$252$	−21.6186	−	7.59680i	−1.36184	−	0.478553i
$253$	5.34705	−	27.3745i	0.336166	−	1.72102i
$254$	−10.4679	−	6.04366i	−0.656816	−	0.379213i
$255$	−11.9099	+	20.2524i	−0.745824	+	1.26825i
$256$	5.59165	−	0.533938i	0.349478	−	0.0333711i
$257$	−5.12566	+	21.1283i	−0.319730	+	1.31795i	0.554399	+	0.832251i	$0.312948\pi$
$257$	−5.12566	+	21.1283i	−0.319730	+	1.31795i	−0.874129	+	0.485694i	$0.838567\pi$
$258$	−1.02713	−	0.364727i	−0.0639466	−	0.0227069i
$259$	11.0939	+	3.69997i	0.689340	+	0.229905i
$260$	−1.48400	−	2.30914i	−0.0920335	−	0.143207i
$261$	8.93159	+	11.7394i	0.552852	+	0.726653i
$262$	−30.0166	−	10.3889i	−1.85443	−	0.641826i
$263$	−11.5443	−	0.549923i	−0.711852	−	0.0339097i	−0.311468	−	0.950257i	$-0.600821\pi$
$263$	−11.5443	−	0.549923i	−0.711852	−	0.0339097i	−0.400385	+	0.916347i	$0.631124\pi$
$264$	−18.9060	−	5.71606i	−1.16358	−	0.351799i
$265$	29.4159	+	4.22937i	1.80701	+	0.259808i
$266$	30.9356	−	14.5519i	1.89678	−	0.892235i
$267$	4.07730	+	2.14348i	0.249527	+	0.131179i
$268$	−31.8604	−	3.04230i	−1.94618	−	0.185838i
$269$	10.0451	+	5.17862i	0.612462	+	0.315746i	0.736403	−	0.676543i	$-0.236523\pi$
$269$	10.0451	+	5.17862i	0.612462	+	0.315746i	−0.123940	+	0.992290i	$0.539553\pi$
$270$	6.36581	−	29.2332i	0.387411	−	1.77907i
$271$	−0.934278	+	0.323357i	−0.0567533	+	0.0196425i	−0.355297	−	0.934753i	$-0.615620\pi$
$271$	−0.934278	+	0.323357i	−0.0567533	+	0.0196425i	0.298544	+	0.954396i	$0.403499\pi$
$272$	−7.19285	+	2.11201i	−0.436131	+	0.128060i
$273$	−0.965876	+	1.36584i	−0.0584575	+	0.0826647i
$274$	5.64784	+	39.2816i	0.341198	+	2.37309i
$275$	8.98421	+	5.18704i	0.541768	+	0.312790i
$276$	−15.5128	−	18.2875i	−0.933763	−	1.10078i
$277$	0.490642	+	0.849817i	0.0294798	+	0.0510606i	0.880389	−	0.474252i	$-0.157282\pi$
$277$	0.490642	+	0.849817i	0.0294798	+	0.0510606i	−0.850909	+	0.525313i	$0.823948\pi$
$278$	31.7828	+	12.7239i	1.90621	+	0.763131i
$279$	22.0312	−	7.23226i	1.31897	−	0.432984i
$280$	−3.33343	−	13.0939i	−0.199211	−	0.782507i
$281$	21.9642	+	19.0320i	1.31027	+	1.13536i	0.981608	+	0.190910i	$0.0611439\pi$
$281$	21.9642	+	19.0320i	1.31027	+	1.13536i	0.328664	+	0.944447i	$0.393402\pi$
$282$	17.7027	+	8.25644i	1.05418	+	0.491664i
$283$	3.83753	−	7.44377i	0.228117	−	0.442486i	−0.746801	−	0.665047i	$-0.768411\pi$
$283$	3.83753	−	7.44377i	0.228117	−	0.442486i	0.974919	+	0.222561i	$0.0714417\pi$
$284$	−18.4442	−	13.1340i	−1.09446	−	0.779361i
$285$	14.0781	+	22.2963i	0.833913	+	1.32072i
$286$	−2.53740	+	3.94828i	−0.150040	+	0.233467i
$287$	1.83491	−	0.658346i	0.108311	−	0.0388610i
$288$	17.5547	−	12.0818i	1.03442	−	0.711929i
$289$	−8.99835	+	4.63897i	−0.529315	+	0.272881i
$290$	−9.25951	+	26.7536i	−0.543737	+	1.57103i
$291$	−3.25371	−	0.816972i	−0.190736	−	0.0478918i
$292$	−9.00645	+	0.429030i	−0.527063	+	0.0251071i
$293$	−6.54146	−	1.92075i	−0.382156	−	0.112211i	0.0850114	−	0.996380i	$-0.472907\pi$
$293$	−6.54146	−	1.92075i	−0.382156	−	0.112211i	−0.467168	+	0.884169i	$0.654726\pi$
$294$	−21.6040	+	15.8634i	−1.25997	+	0.925173i
$295$	17.9741	−	5.27767i	1.04649	−	0.307278i
$296$	7.05972	−	5.02721i	0.410338	−	0.292200i
$297$	−29.5308	+	6.41743i	−1.71355	+	0.372377i
$298$	−8.93630	−	15.4781i	−0.517666	−	0.896624i
$299$	−1.59431	+	0.723283i	−0.0922014	+	0.0418285i
$300$	8.30677	−	3.24863i	0.479592	−	0.187560i
$301$	−0.608531	+	0.443767i	−0.0350751	+	0.0255783i
$302$	−3.90981	−	1.78555i	−0.224984	−	0.102747i
$303$	−2.55783	−	18.8606i	−0.146944	−	1.08351i
$304$	−1.59228	+	8.26152i	−0.0913234	+	0.473831i
$305$	−9.84055	+	2.38729i	−0.563468	+	0.136696i
$306$	24.2320	−	24.6126i	1.38525	−	1.40701i
$307$	−11.0023	+	5.02458i	−0.627934	+	0.286768i	−0.703853	−	0.710346i	$-0.748538\pi$
$307$	−11.0023	+	5.02458i	−0.627934	+	0.286768i	0.0759183	+	0.997114i	$0.475811\pi$
$308$	−34.6062	+	27.8524i	−1.97187	+	1.58704i
$309$	1.86072	−	9.25507i	0.105853	−	0.526503i
$310$	34.9821	+	27.5102i	1.98685	+	1.56248i
$311$	−15.0839	+	6.03869i	−0.855331	+	0.342423i	−0.757544	−	0.652785i	$-0.773601\pi$
$311$	−15.0839	+	6.03869i	−0.855331	+	0.342423i	−0.0977870	+	0.995207i	$0.531176\pi$
$312$	0.396087	+	1.17476i	0.0224240	+	0.0665076i
$313$	2.04664	+	10.6190i	0.115683	+	0.600219i	0.992784	+	0.119914i	$0.0382619\pi$
$313$	2.04664	+	10.6190i	0.115683	+	0.600219i	−0.877102	+	0.480305i	$0.840526\pi$
$314$	6.04075	+	13.2274i	0.340899	+	0.746466i
$315$	−14.1952	−	15.0290i	−0.799811	−	0.846791i
$316$	33.2326	+	9.75798i	1.86948	+	0.548929i
$317$	−4.73142	+	1.63756i	−0.265743	+	0.0919746i	−0.456690	−	0.889626i	$-0.650965\pi$
$317$	−4.73142	+	1.63756i	−0.265743	+	0.0919746i	0.190947	+	0.981600i	$0.438844\pi$
$318$	−40.4280	−	16.5616i	−2.26709	−	0.928730i
$319$	28.4667	−	2.71824i	1.59383	−	0.152192i
$320$	31.0096	+	12.4144i	1.73349	+	0.693984i
$321$	8.57265	+	21.9203i	0.478478	+	1.22347i
$322$	−27.8984	+	2.91148i	−1.55472	+	0.162250i
$323$			30.4418i			1.69383i
$324$	−11.5446	+	23.2769i	−0.641367	+	1.29316i
$325$	−0.0618963	−	0.648208i	−0.00343339	−	0.0359561i
$326$	−15.3953	+	16.1461i	−0.852665	+	0.894249i
$327$	−1.20380	−	1.41194i	−0.0665703	−	0.0780804i
$328$	0.407021	−	1.38619i	0.0224740	−	0.0765393i
$329$	11.6121	−	6.88014i	0.640197	−	0.379314i
$330$	−41.6549	−	40.3593i	−2.29302	−	2.22171i
$331$	−7.58128	+	1.46117i	−0.416705	+	0.0803133i	−0.393294	−	0.919413i	$-0.628665\pi$
$331$	−7.58128	+	1.46117i	−0.416705	+	0.0803133i	−0.0234107	+	0.999726i	$0.507453\pi$
$332$	0.0670154	−	1.40683i	0.00367795	−	0.0772096i
$333$	5.70097	−	11.9724i	0.312411	−	0.656083i
$334$	−16.2462	+	20.6587i	−0.888951	+	1.13039i
$335$	−24.2910	−	15.6109i	−1.32716	−	0.852912i
$336$	−0.0216398	−	6.59617i	−0.00118055	−	0.359850i
$337$	3.74511	+	8.20064i	0.204009	+	0.446717i	0.983787	−	0.179338i	$-0.0573956\pi$
$337$	3.74511	+	8.20064i	0.204009	+	0.446717i	−0.779779	+	0.626055i	$0.784668\pi$
$338$	−28.4116	+	1.35341i	−1.54539	+	0.0736158i
$339$	−23.8617	+	16.7056i	−1.29599	+	0.907323i
$340$	38.4530	+	7.41120i	2.08540	+	0.401929i
$341$	10.5979	−	43.6852i	0.573910	−	2.36569i
$342$	−12.0906	−	36.8309i	−0.653787	−	1.99159i
$343$	0.626885	+	18.5096i	0.0338486	+	0.999427i
$344$			0.558153i			0.0300936i
$345$	−4.87952	−	21.0777i	−0.262704	−	1.13479i
$346$	−7.48345	+	4.32057i	−0.402313	+	0.232275i
$347$	−22.2695	−	28.3180i	−1.19549	−	1.52019i	−0.798083	−	0.602547i	$-0.794152\pi$
$347$	−22.2695	−	28.3180i	−1.19549	−	1.52019i	−0.397407	−	0.917642i	$-0.630090\pi$
$348$	13.4576	−	20.5764i	0.721402	−	1.10301i
$349$	0.309903	+	1.05543i	0.0165887	+	0.0564960i	0.967371	−	0.253362i	$-0.0815365\pi$
$349$	0.309903	+	1.05543i	0.0165887	+	0.0564960i	−0.950783	+	0.309858i	$0.899718\pi$
$350$	2.34508	−	10.1659i	0.125350	−	0.543391i
$351$	1.40330	+	1.27623i	0.0749025	+	0.0681200i
$352$	−1.96575	−	41.2661i	−0.104775	−	2.19949i
$353$	−1.31831	+	1.85131i	−0.0701666	+	0.0985351i	−0.848168	−	0.529727i	$-0.822294\pi$
$353$	−1.31831	+	1.85131i	−0.0701666	+	0.0985351i	0.778001	+	0.628263i	$0.216234\pi$
$354$	−27.5175	+	1.09014i	−1.46254	+	0.0579403i
$355$	−9.36058	−	18.1570i	−0.496808	−	0.963673i
$356$	1.09267	−	7.59971i	0.0579116	−	0.402784i
$357$	−4.59358	−	23.4200i	−0.243118	−	1.23952i
$358$	15.9672	+	10.2615i	0.843895	+	0.542338i
$359$	0.993007	+	5.15221i	0.0524089	+	0.271923i	0.998675	−	0.0514667i	$-0.0163896\pi$
$359$	0.993007	+	5.15221i	0.0524089	+	0.271923i	−0.946266	+	0.323390i	$0.895177\pi$
$360$	−15.1976	+	1.93731i	−0.800985	+	0.102105i
$361$	13.4799	+	6.94938i	0.709469	+	0.365757i
$362$	−5.51329	+	5.25691i	−0.289772	+	0.276297i
$363$	−13.2284	+	37.2535i	−0.694311	+	1.95530i
$364$	2.68404	+	0.755311i	0.140682	+	0.0395890i
$365$	−7.39958	−	3.37928i	−0.387312	−	0.176879i
$366$	14.8857	+	0.119153i	0.778086	+	0.00622821i
$367$	30.8769	−	17.8268i	1.61176	−	0.930552i	0.622802	−	0.782380i	$-0.285994\pi$
$367$	30.8769	−	17.8268i	1.61176	−	0.930552i	0.988962	−	0.148172i	$-0.0473390\pi$
$368$	3.46653	−	5.96967i	0.180705	−	0.311190i
$369$	−0.486680	−	2.15621i	−0.0253355	−	0.112248i
$370$	25.1911	−	3.62194i	1.30962	−	0.188296i
$371$	−25.2103	+	16.6066i	−1.30885	+	0.862172i
$372$	−23.6474	−	30.5705i	−1.22606	−	1.58501i
$373$	1.48447	+	4.28910i	0.0768630	+	0.222081i	0.976886	−	0.213762i	$-0.0685716\pi$
$373$	1.48447	+	4.28910i	0.0768630	+	0.222081i	−0.900023	+	0.435843i	$0.856450\pi$
$374$	−15.7861	−	65.0712i	−0.816280	−	3.36475i
$375$	−14.4320	−	1.49476i	−0.745267	−	0.0771889i
$376$	0.950819	−	9.95743i	0.0490347	−	0.513515i
$377$	−1.17542	−	1.35651i	−0.0605373	−	0.0698637i
$378$	14.8595	+	26.5110i	0.764288	+	1.36358i
$379$	3.87952	−	26.9826i	0.199277	−	1.38601i	−0.607110	−	0.794618i	$-0.707671\pi$
$379$	3.87952	−	26.9826i	0.199277	−	1.38601i	0.806388	−	0.591387i	$-0.201420\pi$
$380$	27.1688	−	34.5480i	1.39373	−	1.77227i
$381$	3.02575	+	8.97410i	0.155014	+	0.459757i
$382$	−7.53091	+	21.7591i	−0.385315	+	1.11329i
$383$	−7.84353	−	0.748966i	−0.400785	−	0.0382704i	−0.107283	−	0.994229i	$-0.534215\pi$
$383$	−7.84353	−	0.748966i	−0.400785	−	0.0382704i	−0.293503	+	0.955958i	$0.594821\pi$
$384$	−19.8404	−	14.3690i	−1.01248	−	0.733265i
$385$	−39.2648	+	8.02826i	−2.00112	+	0.409158i
$386$	0.603668	+	0.523082i	0.0307259	+	0.0266242i
$387$	0.415103	+	0.746322i	0.0211009	+	0.0379377i
$388$	0.531513	+	5.56625i	0.0269835	+	0.282584i
$389$	−5.70926	−	7.25992i	−0.289471	−	0.368092i	0.619468	−	0.785022i	$-0.287348\pi$
$389$	−5.70926	−	7.25992i	−0.289471	−	0.368092i	−0.908939	+	0.416930i	$0.863106\pi$
$390$	−0.546927	+	3.59921i	−0.0276947	+	0.182253i
$391$	8.22816	−	23.5827i	0.416116	−	1.19263i
$392$	11.3570	+	7.70703i	0.573616	+	0.389264i
$393$	12.2706	+	21.6516i	0.618968	+	1.09218i
$394$	−1.58946	−	2.23209i	−0.0800759	−	0.112451i
$395$	22.6150	+	21.5634i	1.13789	+	1.08497i
$396$	26.5504	+	42.8046i	1.33421	+	2.15101i
$397$	−7.16538	−	7.51484i	−0.359620	−	0.377159i	0.518924	−	0.854821i	$-0.326333\pi$
$397$	−7.16538	−	7.51484i	−0.359620	−	0.377159i	−0.878544	+	0.477662i	$0.841484\pi$
$398$	51.0192	−	32.7881i	2.55736	−	1.64352i
$399$	−25.7255	−	7.46209i	−1.28788	−	0.373572i
$400$	1.68140	+	1.94043i	0.0840698	+	0.0970217i
$401$	15.0077	+	29.1108i	0.749447	+	1.45372i	0.886290	+	0.463131i	$0.153274\pi$
$401$	15.0077	+	29.1108i	0.749447	+	1.45372i	−0.136843	+	0.990593i	$0.543696\pi$
$402$	29.0460	+	30.9549i	1.44868	+	1.54389i
$403$	−2.61944	+	1.04867i	−0.130484	+	0.0522378i
$404$	−28.1977	+	14.5369i	−1.40289	+	0.723239i
$405$	−18.8804	+	13.8930i	−0.938173	+	0.690351i
$406$	−10.9890	−	26.5760i	−0.545375	−	1.31895i
$407$	−13.8982	−	21.6260i	−0.688908	−	1.07196i
$408$	−16.0294	−	7.47600i	−0.793572	−	0.370117i
$409$	3.87484	−	20.1046i	0.191599	−	0.994108i	−0.751031	−	0.660267i	$-0.770443\pi$
$409$	3.87484	−	20.1046i	0.191599	−	0.994108i	0.942629	−	0.333841i	$-0.108345\pi$
$410$	2.92761	−	3.07039i	0.144584	−	0.151636i
$411$	17.0194	−	26.0224i	0.839505	−	1.28359i
$412$	−15.5747	+	2.23931i	−0.767311	+	0.110323i
$413$	−10.1066	+	16.1234i	−0.497314	+	0.793381i
$414$	−0.588692	+	31.8002i	−0.0289326	+	1.56289i
$415$	0.635328	−	1.10042i	0.0311870	−	0.0540175i
$416$	−2.03832	+	1.60296i	−0.0999370	+	0.0785914i
$417$	−12.1000	−	23.9392i	−0.592538	−	1.17231i
$418$	−73.0314	−	17.7172i	−3.57208	−	0.866578i
$419$	16.0859	−	18.5641i	0.785849	−	0.906918i	−0.211668	−	0.977342i	$-0.567890\pi$
$419$	16.0859	−	18.5641i	0.785849	−	0.906918i	0.997517	+	0.0704235i	$0.0224351\pi$
$420$	−15.6888	+	30.6787i	−0.765535	+	1.49697i
$421$	−11.7354	+	7.54187i	−0.571947	+	0.367568i	−0.794418	−	0.607371i	$-0.792224\pi$
$421$	−11.7354	+	7.54187i	−0.571947	+	0.367568i	0.222471	+	0.974939i	$0.428588\pi$
$422$	0.130278	−	1.36433i	0.00634183	−	0.0664146i
$423$	−6.13406	−	14.0215i	−0.298248	−	0.681748i
$424$	−1.06452	+	22.3469i	−0.0516974	+	1.08526i
$425$	7.30236	+	5.74264i	0.354216	+	0.278559i
$426$	6.84621	+	29.2400i	0.331700	+	1.41668i
$427$	5.87160	−	8.44562i	0.284146	−	0.408712i
$428$	29.6489	−	25.6909i	1.43313	−	1.24182i
$429$	3.53647	−	1.00772i	0.170742	−	0.0486534i
$430$	−0.751049	+	1.45683i	−0.0362188	+	0.0702547i
$431$	−18.3187	+	4.44406i	−0.882380	+	0.214063i	−0.651253	−	0.758861i	$-0.725756\pi$
$431$	−18.3187	+	4.44406i	−0.882380	+	0.214063i	−0.231127	+	0.972924i	$0.574241\pi$
$432$	−7.42631	−	0.889529i	−0.357298	−	0.0427975i
$433$	3.60708	+	12.2846i	0.173345	+	0.590360i	0.999632	+	0.0271108i	$0.00863069\pi$
$433$	3.60708	+	12.2846i	0.173345	+	0.590360i	−0.826287	+	0.563249i	$0.809551\pi$
$434$	−45.1289	+	2.66048i	−2.16625	+	0.127707i
$435$	19.2979	−	10.9367i	0.925265	−	0.524372i
$436$	−1.54632	+	2.67830i	−0.0740552	+	0.128267i
$437$	−19.2937	−	20.3363i	−0.922945	−	0.972817i
$438$	9.34074	+	7.46742i	0.446318	+	0.356807i
$439$	−0.826551	+	2.06462i	−0.0394491	+	0.0985391i	−0.946784	−	0.321869i	$-0.895689\pi$
$439$	−0.826551	+	2.06462i	−0.0394491	+	0.0985391i	0.907335	+	0.420408i	$0.138113\pi$
$440$	−12.3381	+	27.0168i	−0.588198	+	1.28797i
$441$	20.9176	+	1.85897i	0.996074	+	0.0885224i
$442$	−2.75227	+	3.17629i	−0.130912	+	0.151081i
$443$	−6.35091	−	6.66065i	−0.301741	−	0.316457i	0.555355	−	0.831613i	$-0.312582\pi$
$443$	−6.35091	−	6.66065i	−0.301741	−	0.316457i	−0.857096	+	0.515156i	$0.827734\pi$
$444$	−21.9847	−	2.27700i	−1.04335	−	0.108062i
$445$	4.01797	−	5.64245i	0.190470	−	0.267478i
$446$	19.8446	−	3.82473i	0.939669	−	0.181106i
$447$	−2.76011	+	13.7286i	−0.130549	+	0.649338i
$448$	−31.9370	+	11.4587i	−1.50888	+	0.541372i
$449$	16.7829	+	2.41301i	0.792033	+	0.113877i	0.526445	−	0.850209i	$-0.323525\pi$
$449$	16.7829	+	2.41301i	0.792033	+	0.113877i	0.265588	+	0.964087i	$0.414434\pi$
$450$	−11.1158	−	4.04760i	−0.524003	−	0.190806i
$451$	−4.04953	−	1.40156i	−0.190685	−	0.0659968i
$452$	39.5481	+	28.1621i	1.86018	+	1.32463i
$453$	1.37442	+	3.07446i	0.0645760	+	0.144451i
$454$	−9.42179	+	32.0877i	−0.442187	+	1.50595i
$455$	1.84006	+	1.71527i	0.0862635	+	0.0804133i
$456$	−15.7014	+	12.1456i	−0.735287	+	0.568770i
$457$	4.48384	+	6.29667i	0.209745	+	0.294546i	0.906025	−	0.423225i	$-0.139102\pi$
$457$	4.48384	+	6.29667i	0.209745	+	0.294546i	−0.696280	+	0.717771i	$0.745163\pi$
$458$	−22.2892	+	17.5284i	−1.04151	+	0.819050i
$459$	−26.9933	+	1.92481i	−1.25994	+	0.0898426i
$460$	−30.3852	+	19.4202i	−1.41672	+	0.905469i
$461$	11.7997			0.549568			0.274784	−	0.961506i	$-0.411394\pi$
$461$	11.7997			0.549568			0.274784	+	0.961506i	$0.411394\pi$
$462$	58.8593	+	2.61031i	2.73838	+	0.121443i
$463$	−9.36649	+	20.5097i	−0.435298	+	0.953169i	0.557140	+	0.830419i	$0.311899\pi$
$463$	−9.36649	+	20.5097i	−0.435298	+	0.953169i	−0.992438	+	0.122750i	$0.960829\pi$
$464$	6.87800	+	1.66859i	0.319303	+	0.0774621i
$465$	−6.32467	−	34.2903i	−0.293300	−	1.59017i
$466$	−7.98626	−	32.9198i	−0.369956	−	1.52498i
$467$	−0.355947	−	7.47226i	−0.0164713	−	0.345775i	−0.992027	−	0.126024i	$-0.959778\pi$
$467$	−0.355947	−	7.47226i	−0.0164713	−	0.345775i	0.975556	−	0.219751i	$-0.0705245\pi$
$468$	1.22189	−	2.91596i	0.0564819	−	0.134790i
$469$	28.9838	−	4.50164i	1.33835	−	0.207867i
$470$	15.8804	−	24.7104i	0.732509	−	1.13981i
$471$	3.29727	−	10.9058i	0.151930	−	0.502512i
$472$	5.24129	+	13.0921i	0.241250	+	0.602613i
$473$	1.65369	+	0.0787751i	0.0760369	+	0.00362208i
$474$	−24.5253	−	38.8422i	−1.12649	−	1.78408i
$475$	9.48414	−	4.33126i	0.435162	−	0.198732i
$476$	−34.2237	+	20.2774i	−1.56864	+	0.929415i
$477$	15.1962	+	30.6724i	0.695787	+	1.40439i
$478$	10.7692	+	31.1154i	0.492570	+	1.42319i
$479$	27.3765	+	26.1035i	1.25087	+	1.19270i	0.972675	+	0.232172i	$0.0745831\pi$
$479$	27.3765	+	26.1035i	1.25087	+	1.19270i	0.278190	+	0.960526i	$0.410265\pi$
$480$	−14.4557	−	28.5999i	−0.659808	−	1.30540i
$481$	−0.599700	+	1.49798i	−0.0273440	+	0.0683019i
$482$	−54.0661			−2.46265
$483$	17.9121	+	12.7341i	0.815028	+	0.579422i
$484$	65.8920			2.99509
$485$	−1.87490	+	4.68327i	−0.0851348	+	0.212657i
$486$	31.8941	−	13.0498i	1.44675	−	0.591949i
$487$	6.48523	+	6.18365i	0.293874	+	0.280208i	0.822644	−	0.568557i	$-0.192498\pi$
$487$	6.48523	+	6.18365i	0.293874	+	0.280208i	−0.528770	+	0.848765i	$0.677347\pi$
$488$	−2.49321	−	7.20367i	−0.112863	−	0.326095i
$489$	17.4131	−	1.52221i	0.787449	−	0.0688365i
$490$	19.2723	+	35.3980i	0.870634	+	1.59912i
$491$	4.22909	−	1.93136i	0.190856	−	0.0871612i	−0.317695	−	0.948193i	$-0.602909\pi$
$491$	4.22909	−	1.93136i	0.190856	−	0.0871612i	0.508551	+	0.861032i	$0.330181\pi$
$492$	−3.11531	+	1.96703i	−0.140449	+	0.0886808i
$493$	25.5787	+	1.21846i	1.15201	+	0.0548768i
$494$	1.75312	+	4.37909i	0.0788767	+	0.197025i
$495$	3.59494	+	45.3008i	0.161580	+	2.03612i
$496$	6.01496	−	9.35946i	0.270080	−	0.420252i
$497$	19.3503	+	7.49444i	0.867977	+	0.336171i
$498$	−1.29984	+	1.34156i	−0.0582470	+	0.0601168i
$499$	−1.24221	−	26.0772i	−0.0556089	−	1.16738i	−0.838387	−	0.545075i	$-0.816501\pi$
$499$	−1.24221	−	26.0772i	−0.0556089	−	1.16738i	0.782779	−	0.622300i	$-0.213802\pi$
$500$	5.70153	+	23.5020i	0.254980	+	1.05104i
$501$	20.2501	−	3.73504i	0.904709	−	0.166869i
$502$	20.8709	+	5.06323i	0.931516	+	0.225983i
$503$	6.97665	−	15.2767i	0.311073	−	0.681155i	−0.687931	−	0.725776i	$-0.741481\pi$
$503$	6.97665	−	15.2767i	0.311073	−	0.681155i	0.999004	+	0.0446209i	$0.0142080\pi$
$504$	10.2470	−	11.7134i	0.456436	−	0.521755i
$505$	−28.6212			−1.27363
$506$	51.7872	+	33.4650i	2.30222	+	1.48770i
$507$	17.4070	+	13.9160i	0.773073	+	0.618030i
$508$	12.4080	−	9.75777i	0.550517	−	0.432931i
$509$	13.5349	+	19.0071i	0.599923	+	0.842474i	0.997165	−	0.0752400i	$-0.0239723\pi$
$509$	13.5349	+	19.0071i	0.599923	+	0.842474i	−0.397243	+	0.917714i	$0.630033\pi$
$510$	−31.7785	−	41.0821i	−1.40717	−	1.81915i
$511$	7.90183	−	2.41737i	0.349557	−	0.106938i
$512$	4.47094	−	15.2266i	0.197590	−	0.672928i
$513$	−11.9620	+	27.9175i	−0.528136	+	1.23259i
$514$	−39.1501	−	27.8786i	−1.72684	−	1.22967i
$515$	−13.4150	−	4.64298i	−0.591136	−	0.204594i
$516$	0.940725	−	1.06826i	0.0414131	−	0.0470274i
$517$	−29.3676	−	4.22242i	−1.29159	−	0.185702i
$518$	−16.7083	+	19.7279i	−0.734121	+	0.866795i
$519$	6.63756	+	1.33447i	0.291357	+	0.0585769i
$520$	1.83056	−	0.352811i	0.0802753	−	0.0154718i
$521$	25.0712	−	35.2076i	1.09839	−	1.54247i	0.287034	−	0.957920i	$-0.407331\pi$
$521$	25.0712	−	35.2076i	1.09839	−	1.54247i	0.811356	−	0.584553i	$-0.198730\pi$
$522$	−31.4311	+	8.68495i	−1.37570	+	0.380130i
$523$	−5.88751	−	6.17464i	−0.257443	−	0.269998i	0.582310	−	0.812967i	$-0.302149\pi$
$523$	−5.88751	−	6.17464i	−0.257443	−	0.269998i	−0.839753	+	0.542968i	$0.817300\pi$
$524$	27.1644	−	31.3493i	1.18668	−	1.36950i
$525$	−6.64293	+	4.76333i	−0.289921	+	0.207889i
$526$	10.6136	−	23.2405i	0.462773	−	1.01333i
$527$	14.9611	−	37.3710i	0.651715	−	1.62791i
$528$	−9.05404	+	11.3254i	−0.394027	+	0.492875i
$529$	9.44976	+	20.9691i	0.410859	+	0.911699i
$530$	−32.8485	+	56.8952i	−1.42685	+	2.47137i
$531$	16.7450	+	13.6078i	0.726671	+	0.590529i
$532$	2.62747	+	44.5688i	0.113915	+	1.93230i
$533$	0.0757785	+	0.258078i	0.00328233	+	0.0111786i
$534$	−7.74901	+	6.60670i	−0.335332	+	0.285900i
$535$	34.3960	−	8.34439i	1.48707	−	0.360759i
$536$	9.96053	−	19.3207i	0.430229	−	0.834528i
$537$	−4.07534	−	14.3018i	−0.175864	−	0.617170i
$538$	−18.8813	+	16.3607i	−0.814029	+	0.705360i
$539$	24.4372	−	32.5607i	1.05259	−	1.40249i
$540$	32.3521	+	21.9066i	1.39221	+	0.942710i
$541$	−1.88234	−	1.48029i	−0.0809283	−	0.0636427i	0.576875	−	0.816832i	$-0.304272\pi$
$541$	−1.88234	−	1.48029i	−0.0809283	−	0.0636427i	−0.657804	+	0.753190i	$0.728514\pi$
$542$	0.103993	−	2.18309i	0.00446689	−	0.0937716i
$543$	5.96393	−	0.236268i	0.255937	−	0.0101393i
$544$	3.51663	−	36.8278i	0.150774	−	1.57898i
$545$	−2.34721	+	1.50846i	−0.100543	+	0.0646152i
$546$	−2.00953	−	3.10446i	−0.0860001	−	0.132858i
$547$	−16.2778	+	18.7856i	−0.695987	+	0.803212i	−0.988205	−	0.153140i	$-0.951062\pi$
$547$	−16.2778	+	18.7856i	−0.695987	+	0.803212i	0.292217	+	0.956352i	$0.405607\pi$
$548$	−50.3657	−	12.2186i	−2.15151	−	0.521952i
$549$	−8.69118	−	7.77800i	−0.370930	−	0.331957i
$550$	−18.0269	+	14.1765i	−0.768668	+	0.604487i
$551$	14.3702	−	24.8898i	0.612189	−	1.06034i
$552$	15.4464	−	5.16500i	0.657444	−	0.219837i
$553$	−31.7209	−	1.15245i	−1.34891	−	0.0490071i
$554$	−2.14719	+	0.308720i	−0.0912254	+	0.0131162i
$555$	−16.6880	−	10.9145i	−0.708368	−	0.463294i
$556$	−30.8526	+	32.3573i	−1.30844	+	1.37225i
$557$	−4.31854	+	22.4067i	−0.182982	+	0.949403i	0.768068	+	0.640368i	$0.221218\pi$
$557$	−4.31854	+	22.4067i	−0.182982	+	0.949403i	−0.951051	+	0.309035i	$0.899994\pi$
$558$	−3.25839	+	51.1565i	−0.137939	+	2.16563i
$559$	−0.0561813	−	0.0874198i	−0.00237622	−	0.00369746i
$560$	−9.83336	−	1.30074i	−0.415535	−	0.0549663i
$561$	−24.4122	+	46.4366i	−1.03068	+	1.96055i
$562$	−57.1054	+	29.4399i	−2.40885	+	1.24185i
$563$	15.1773	−	6.07607i	0.639646	−	0.256076i	−0.0290886	−	0.999577i	$-0.509260\pi$
$563$	15.1773	−	6.07607i	0.639646	−	0.256076i	0.668735	+	0.743501i	$0.266836\pi$
$564$	−18.6023	+	17.4551i	−0.783297	+	0.734993i
$565$	20.0710	+	38.9323i	0.844394	+	1.63790i
$566$	12.1238	+	13.9916i	0.509602	+	0.588112i
$567$	4.99016	−	23.2830i	0.209567	−	0.977794i
$568$	12.9370	−	8.31411i	0.542825	−	0.348852i
$569$	−12.7978	−	13.4220i	−0.536513	−	0.562679i	0.398556	−	0.917144i	$-0.369511\pi$
$569$	−12.7978	−	13.4220i	−0.536513	−	0.562679i	−0.935069	+	0.354465i	$0.884663\pi$
$570$	−57.3253	+	10.5734i	−2.40109	+	0.442870i
$571$	20.7085	+	19.7455i	0.866623	+	0.826323i	0.986038	−	0.166521i	$-0.0532535\pi$
$571$	20.7085	+	19.7455i	0.866623	+	0.826323i	−0.119415	+	0.992844i	$0.538102\pi$
$572$	−3.55527	−	4.99267i	−0.148653	−	0.208754i
$573$	15.6953	−	8.89495i	0.655681	−	0.371592i
$574$	−0.156465	+	4.30667i	−0.00653072	+	0.179757i
$575$	−8.51788	+	0.791864i	−0.355220	+	0.0330230i
$576$	8.47078	+	37.5294i	0.352949	+	1.56372i
$577$	−10.1641	−	12.9247i	−0.423136	−	0.538062i	0.527013	−	0.849857i	$-0.323312\pi$
$577$	−10.1641	−	12.9247i	−0.423136	−	0.538062i	−0.950149	+	0.311796i	$0.899070\pi$
$578$	−2.12736	−	22.2787i	−0.0884864	−	0.926672i
$579$	−0.0841048	−	0.620161i	−0.00349528	−	0.0257730i
$580$	−27.9414	−	24.2114i	−1.16020	−	1.00532i
$581$	0.258563	+	1.26459i	0.0107270	+	0.0524639i
$582$	4.34996	−	6.00633i	0.180312	−	0.248970i
$583$	66.0591	+	6.30788i	2.73589	+	0.261246i
$584$	2.00292	−	5.78706i	0.0828814	−	0.239470i
$585$	2.18530	−	1.83316i	0.0903510	−	0.0757917i
$586$	9.31649	−	11.8469i	0.384860	−	0.489390i
$587$	2.02886	−	14.1110i	0.0837398	−	0.582423i	−0.904144	−	0.427228i	$-0.859490\pi$
$587$	2.02886	−	14.1110i	0.0837398	−	0.582423i	0.987884	−	0.155195i	$-0.0496007\pi$
$588$	−8.74671	−	33.8920i	−0.360708	−	1.39768i
$589$	−29.5859	−	34.1439i	−1.21906	−	1.40688i
$590$	−3.93645	+	41.2243i	−0.162061	+	1.69718i
$591$	−0.221181	+	2.13552i	−0.00909815	+	0.0878436i
$592$	−1.49999	−	6.18305i	−0.0616493	−	0.254122i
$593$	7.80946	+	22.5639i	0.320696	+	0.926590i	0.983989	+	0.178230i	$0.0570372\pi$
$593$	7.80946	+	22.5639i	0.320696	+	0.926590i	−0.663293	+	0.748360i	$0.730842\pi$
$594$	11.0924	−	65.8784i	0.455128	−	2.70302i
$595$	−35.8266	+	2.11209i	−1.46875	+	0.0865872i
$596$	23.1028	−	3.32169i	0.946329	−	0.136062i
$597$	−46.9777	−	7.13862i	−1.92267	−	0.292164i
$598$	−0.174481	−	3.86625i	−0.00713504	−	0.158103i
$599$	23.7029	−	13.6849i	0.968476	−	0.559150i	0.0697044	−	0.997568i	$-0.477794\pi$
$599$	23.7029	−	13.6849i	0.968476	−	0.559150i	0.898771	+	0.438418i	$0.144461\pi$
$600$	−0.0484885	+	6.05763i	−0.00197953	+	0.247302i
$601$	9.76946	+	4.46156i	0.398504	+	0.181991i	0.604579	−	0.796545i	$-0.293342\pi$
$601$	9.76946	+	4.46156i	0.398504	+	0.181991i	−0.206074	+	0.978536i	$0.566069\pi$
$602$	−0.410762	−	1.61349i	−0.0167414	−	0.0657609i
$603$	−1.05050	−	33.2420i	−0.0427798	−	1.35372i
$604$	4.06247	−	3.87355i	0.165299	−	0.157613i
$605$	52.8384	+	27.2401i	2.14819	+	1.10747i
$606$	40.8091	+	10.2467i	1.65775	+	0.416245i
$607$	−0.543564	−	2.82028i	−0.0220626	−	0.114471i	0.969228	−	0.246165i	$-0.0791706\pi$
$607$	−0.543564	−	2.82028i	−0.0220626	−	0.114471i	−0.991290	+	0.131694i	$0.957958\pi$
$608$	−34.9297	−	22.4480i	−1.41659	−	0.910385i
$609$	−7.29970	+	21.3171i	−0.295799	+	0.863812i
$610$	3.18571	−	22.1571i	0.128986	−	0.897116i
$611$	0.853351	+	1.65527i	0.0345229	+	0.0669651i
$612$	18.0786	+	41.3247i	0.730783	+	1.67045i
$613$	−11.1118	+	15.6043i	−0.448801	+	0.630252i	−0.975552	−	0.219767i	$-0.929470\pi$
$613$	−11.1118	+	15.6043i	−0.448801	+	0.630252i	0.526752	+	0.850019i	$0.323410\pi$
$614$	−1.27227	−	26.7082i	−0.0513446	−	1.07786i
$615$	−3.31133	+	0.289467i	−0.133526	+	0.0116724i
$616$	−8.82613	−	28.8505i	−0.355615	−	1.16242i
$617$	−4.00827	−	13.6509i	−0.161367	−	0.549565i	−0.999988	−	0.00485012i	$-0.998456\pi$
$617$	−4.00827	−	13.6509i	−0.161367	−	0.549565i	0.838621	−	0.544715i	$-0.183362\pi$
$618$	17.4653	+	11.4228i	0.702558	+	0.459494i
$619$	−13.9814	−	17.7789i	−0.561962	−	0.714593i	0.419175	−	0.907905i	$-0.362319\pi$
$619$	−13.9814	−	17.7789i	−0.561962	−	0.714593i	−0.981137	+	0.193313i	$0.938077\pi$
$620$	−50.3321	+	29.0593i	−2.02139	+	1.16705i
$621$	16.8126	−	18.3939i	0.674666	−	0.738123i
$622$		−	35.9181i		−	1.44018i
$623$	0.747853	+	6.99653i	0.0299621	+	0.280310i
$624$	0.908703	+	0.0505799i	0.0363773	+	0.00202482i
$625$	−7.24652	+	29.8706i	−0.289861	+	1.19482i
$626$	−23.4747	−	4.52439i	−0.938239	−	0.180831i
$627$	33.7689	+	48.2343i	1.34860	+	1.92629i
$628$	−18.9687	+	0.903590i	−0.756933	+	0.0360572i
$629$	−9.56299	−	20.9400i	−0.381301	−	0.834934i
$630$	42.5070	−	16.7847i	1.69352	−	0.668718i
$631$	20.5455	+	13.2038i	0.817905	+	0.525636i	0.881413	−	0.472346i	$-0.156593\pi$
$631$	20.5455	+	13.2038i	0.817905	+	0.525636i	−0.0635083	+	0.997981i	$0.520229\pi$
$632$	−14.5413	+	18.4908i	−0.578422	+	0.735523i
$633$	−0.783068	+	0.734778i	−0.0311242	+	0.0292048i
$634$	0.526648	−	11.0557i	0.0209159	−	0.439078i
$635$	13.9838	−	2.69516i	0.554931	−	0.106954i
$636$	39.7015	−	40.9759i	1.57427	−	1.62480i
$637$	−2.55453	−	0.0639528i	−0.101214	−	0.00253390i
$638$	−17.8100	+	60.6554i	−0.705106	+	2.40137i
$639$	11.1151	−	20.7384i	0.439708	−	0.820398i
$640$	−25.4208	+	26.6605i	−1.00484	+	1.05385i
$641$	−1.17199	−	12.2736i	−0.0462908	−	0.484779i	−0.988656	−	0.150194i	$-0.952010\pi$
$641$	−1.17199	−	12.2736i	−0.0462908	−	0.484779i	0.942366	−	0.334585i	$-0.108596\pi$
$642$	−52.0303	−	0.416479i	−2.05347	−	0.0164371i
$643$		−	13.3929i		−	0.528165i	−0.964500	−	0.264082i	$-0.914931\pi$
$643$		−	13.3929i		−	0.528165i	0.964500	−	0.264082i	$-0.0850690\pi$
$644$	10.0111	−	35.2368i	0.394493	−	1.38852i
$645$	1.19598	−	0.467728i	0.0470918	−	0.0184168i
$646$	−62.4755	−	25.0114i	−2.45807	−	0.984062i
$647$	−25.5927	+	2.44381i	−1.00615	+	0.0960760i	−0.585101	−	0.810961i	$-0.698945\pi$
$647$	−25.5927	+	2.44381i	−1.00615	+	0.0960760i	−0.421052	+	0.907036i	$0.638339\pi$
$648$	−11.7625	−	13.1548i	−0.462074	−	0.516768i
$649$	39.5290	−	13.6811i	1.55165	−	0.537030i
$650$	1.38117	+	0.405547i	0.0541738	+	0.0159069i
$651$	27.9137	+	21.8038i	1.09403	+	0.854557i
$652$	−12.1030	−	26.5018i	−0.473988	−	1.03789i
$653$	7.78761	+	40.4060i	0.304753	+	1.58121i	0.734725	+	0.678365i	$0.237311\pi$
$653$	7.78761	+	40.4060i	0.304753	+	1.58121i	−0.429972	+	0.902842i	$0.641477\pi$
$654$	3.88677	−	1.31048i	0.151985	−	0.0512439i
$655$	34.7429	−	13.9090i	1.35752	−	0.543468i
$656$	−0.833674	−	0.655608i	−0.0325495	−	0.0255972i
$657$	−1.62573	−	9.22762i	−0.0634256	−	0.360004i
$658$	4.57938	+	29.4843i	0.178523	+	1.14942i
$659$	−32.4673	+	14.8273i	−1.26475	+	0.577590i	−0.930981	−	0.365066i	$-0.881046\pi$
$659$	−32.4673	+	14.8273i	−1.26475	+	0.577590i	−0.333764	+	0.942657i	$0.608319\pi$
$660$	69.1489	−	30.9127i	2.69162	−	1.20328i
$661$	−23.1479	+	5.61563i	−0.900351	+	0.218423i	−0.659114	−	0.752043i	$-0.729068\pi$
$661$	−23.1479	+	5.61563i	−0.900351	+	0.218423i	−0.241237	+	0.970466i	$0.577553\pi$
$662$	3.23013	−	16.7595i	0.125543	−	0.651378i
$663$	3.26307	−	0.442530i	0.126727	−	0.0171865i
$664$	0.870118	+	0.397370i	0.0337671	+	0.0154209i
$665$	−16.3180	+	36.8257i	−0.632786	+	1.42804i
$666$	19.8868	+	21.5367i	0.770600	+	0.834532i
$667$	−17.8598	+	15.3976i	−0.691534	+	0.596196i
$668$	−17.1610	−	29.7236i	−0.663977	−	1.15004i
$669$	−13.6493	−	8.02675i	−0.527711	−	0.310332i
$670$	51.9958	−	37.0261i	2.00877	−	1.43044i
$671$	−21.6949	+	6.37019i	−0.837521	+	0.245918i
$672$	30.2601	+	11.9993i	1.16731	+	0.462882i
$673$	−40.0297	−	11.7538i	−1.54303	−	0.453075i	−0.604022	−	0.796968i	$-0.706436\pi$
$673$	−40.0297	−	11.7538i	−1.54303	−	0.453075i	−0.939009	+	0.343893i	$0.888254\pi$
$674$	−19.9071	+	0.948294i	−0.766794	+	0.0365269i
$675$	4.44028	+	8.13588i	0.170906	+	0.313150i
$676$	12.1492	−	35.1027i	0.467275	−	1.35010i
$677$	−14.1414	+	7.29039i	−0.543498	+	0.280193i	−0.708034	−	0.706179i	$-0.750418\pi$
$677$	−14.1414	+	7.29039i	−0.543498	+	0.280193i	0.164536	+	0.986371i	$0.447387\pi$
$678$	−14.6797	−	62.6967i	−0.563770	−	2.40785i
$679$	−1.73057	−	4.82334i	−0.0664131	−	0.185103i
$680$	−14.3793	+	22.3747i	−0.551422	+	0.858029i
$681$	22.1554	−	13.9891i	0.848996	−	0.536063i
$682$	80.9475	+	57.6424i	3.09964	+	2.20724i
$683$	−0.157384	+	0.305281i	−0.00602211	+	0.0116813i	−0.891827	−	0.452376i	$-0.850577\pi$
$683$	−0.157384	+	0.305281i	−0.00602211	+	0.0116813i	0.885805	+	0.464057i	$0.153607\pi$
$684$	50.5217	+	3.21795i	1.93174	+	0.123042i
$685$	−35.3367	−	30.6194i	−1.35015	−	1.16991i
$686$	−38.5023	−	13.9212i	−1.47002	−	0.531515i
$687$	22.1826	+	1.23472i	0.846319	+	0.0471075i
$688$	0.380398	+	0.152288i	0.0145025	+	0.00580594i
$689$	−2.08262	−	3.60720i	−0.0793414	−	0.137423i
$690$	47.2667	+	7.30355i	1.79941	+	0.278041i
$691$	−23.6747	−	13.6686i	−0.900627	−	0.519977i	−0.0232234	−	0.999730i	$-0.507393\pi$
$691$	−23.6747	−	13.6686i	−0.900627	−	0.519977i	−0.877404	+	0.479753i	$0.840726\pi$
$692$	−1.60599	−	11.1699i	−0.0610505	−	0.424615i
$693$	−33.2581	−	32.0128i	−1.26337	−	1.21607i
$694$	76.4137	−	22.4371i	2.90063	−	0.851701i
$695$	−38.1172	+	13.1925i	−1.44587	+	0.500420i
$696$	9.57686	+	13.6792i	0.363010	+	0.518510i
$697$	−3.41080	−	1.75839i	−0.129193	−	0.0666038i
$698$	−2.42068	−	0.231147i	−0.0916240	−	0.00874903i
$699$	−12.3502	+	23.4925i	−0.467128	+	0.888566i
$700$	11.1868	+	7.77732i	0.422821	+	0.293955i
$701$	−28.1464	−	4.04685i	−1.06308	−	0.152847i	−0.411484	−	0.911417i	$-0.634990\pi$
$701$	−28.1464	−	4.04685i	−1.06308	−	0.152847i	−0.651592	+	0.758570i	$0.725899\pi$
$702$	−3.77216	+	1.83141i	−0.142371	+	0.0691221i
$703$	−25.8072	−	1.22935i	−0.973336	−	0.0463657i
$704$	70.4832	+	24.3945i	2.65644	+	0.919401i
$705$	−22.1331	+	6.30687i	−0.833580	+	0.237531i
$706$	−2.71628	−	4.22662i	−0.102229	−	0.159071i
$707$	21.7563	−	19.2860i	0.818228	−	0.725326i
$708$	12.0344	−	33.8910i	0.452280	−	1.27370i
$709$	−0.421650	+	1.73807i	−0.0158354	+	0.0652744i	−0.979181	−	0.202989i	$-0.934935\pi$
$709$	−0.421650	+	1.73807i	−0.0158354	+	0.0652744i	0.963346	+	0.268263i	$0.0864497\pi$
$710$	44.9542	−	4.29261i	1.68710	−	0.161099i
$711$	−5.69182	+	35.5390i	−0.213460	+	1.33282i
$712$	4.51597	+	2.60729i	0.169243	+	0.0977125i
$713$	13.6908	+	34.4474i	0.512725	+	1.29007i
$714$	51.8389	+	9.81486i	1.94002	+	0.367312i
$715$	−0.786950	−	5.47336i	−0.0294303	−	0.204692i
$716$	−20.1909	+	14.3779i	−0.754569	+	0.537326i
$717$	9.77953	−	23.8725i	0.365223	−	0.891534i
$718$	−11.3897	−	2.19519i	−0.425060	−	0.0819236i
$719$	−17.6178	+	16.7985i	−0.657033	+	0.626480i	−0.943407	−	0.331638i	$-0.892399\pi$
$719$	−17.6178	+	16.7985i	−0.657033	+	0.626480i	0.286374	+	0.958118i	$0.407550\pi$
$720$	−2.82624	+	10.8862i	−0.105328	+	0.405706i
$721$	13.3260	−	5.51020i	0.496285	−	0.205210i
$722$	−25.3374	+	21.9550i	−0.942961	+	0.817081i
$723$	31.7913	+	27.9960i	1.18233	+	1.04118i
$724$	−3.69744	−	9.23575i	−0.137414	−	0.343244i
$725$	−3.25972	−	8.14240i	−0.121063	−	0.302401i
$726$	−65.5864	−	57.7566i	−2.43414	−	2.14355i
$727$	23.8973	−	20.7072i	0.886303	−	0.767986i	−0.0873124	−	0.996181i	$-0.527828\pi$
$727$	23.8973	−	20.7072i	0.886303	−	0.767986i	0.973615	+	0.228195i	$0.0732824\pi$
$728$	−1.15375	+	1.50169i	−0.0427609	+	0.0556562i
$729$	−25.5113	−	8.84171i	−0.944861	−	0.327471i
$730$	13.0149	−	12.4096i	0.481702	−	0.459302i
$731$	1.45576	+	0.280574i	0.0538431	+	0.0103774i
$732$	−7.36945	+	17.9893i	−0.272383	+	0.664904i
$733$	42.5593	−	30.3063i	1.57196	−	1.11939i	0.633641	−	0.773627i	$-0.281560\pi$
$733$	42.5593	−	30.3063i	1.57196	−	1.11939i	0.938322	−	0.345763i	$-0.112380\pi$
$734$	11.2169	+	78.0153i	0.414023	+	2.87960i
$735$	6.99718	−	30.7937i	0.258095	−	1.13584i
$736$	20.9919	+	26.8312i	0.773771	+	0.989012i
$737$	−55.8375	−	32.2378i	−2.05680	−	1.18749i
$738$	4.82504	+	0.772764i	0.177612	+	0.0284458i
$739$	0.686232	−	0.0655272i	0.0252434	−	0.00241046i	−0.0824267	−	0.996597i	$-0.526267\pi$
$739$	0.686232	−	0.0655272i	0.0252434	−	0.00241046i	0.107670	+	0.994187i	$0.465661\pi$
$740$	−7.83573	+	32.2993i	−0.288047	+	1.18735i
$741$	1.23669	−	3.48272i	0.0454308	−	0.127941i
$742$	−13.3685	−	65.3831i	−0.490774	−	2.40029i
$743$	−22.0849	−	34.3647i	−0.810215	−	1.26072i	−0.962202	−	0.272337i	$-0.912204\pi$
$743$	−22.0849	−	34.3647i	−0.810215	−	1.26072i	0.151987	−	0.988382i	$-0.451433\pi$
$744$	25.2445	−	7.19348i	0.925509	−	0.263726i
$745$	19.8992	+	6.88719i	0.729051	+	0.252327i
$746$	−10.0221	−	0.477413i	−0.366937	−	0.0174793i
$747$	1.45899	−	0.115781i	0.0533815	−	0.00423620i
$748$	86.5534	+	12.4445i	3.16471	+	0.455016i
$749$	−20.5232	+	29.5203i	−0.749901	+	1.07865i
$750$	14.9252	−	28.3906i	0.544992	−	1.03668i
$751$	−11.6712	−	1.11447i	−0.425889	−	0.0406675i	−0.120089	−	0.992763i	$-0.538318\pi$
$751$	−11.6712	−	1.11447i	−0.425889	−	0.0406675i	−0.305800	+	0.952096i	$0.598924\pi$
$752$	−6.52686	−	3.36483i	−0.238010	−	0.122703i
$753$	−9.65047	−	13.7844i	−0.351683	−	0.502331i
$754$	3.74969	−	1.29778i	0.136556	−	0.0472624i
$755$	4.85901	−	1.42674i	0.176838	−	0.0519242i
$756$	−39.3538	+	5.14787i	−1.43128	+	0.187226i
$757$	4.37818	+	30.4509i	0.159128	+	1.10676i	0.900246	+	0.435382i	$0.143387\pi$
$757$	4.37818	+	30.4509i	0.159128	+	1.10676i	−0.741118	+	0.671374i	$0.765704\pi$
$758$	52.1888	+	30.1312i	1.89558	+	1.09442i
$759$	−13.1228	−	46.4936i	−0.476327	−	1.68761i
$760$	14.9252	+	25.8512i	0.541394	+	0.937723i
$761$	26.3090	+	10.5325i	0.953700	+	0.381804i	0.795738	−	0.605641i	$-0.207083\pi$
$761$	26.3090	+	10.5325i	0.953700	+	0.381804i	0.157962	+	0.987445i	$0.449508\pi$
$762$	−20.9035	−	1.16352i	−0.757253	−	0.0421500i
$763$	0.767761	−	2.72828i	0.0277948	−	0.0987704i
$764$	−22.7252	−	19.6915i	−0.822169	−	0.712414i
$765$	−2.58675	+	40.6118i	−0.0935241	+	1.46832i
$766$	7.98145	−	15.4818i	0.288381	−	0.559382i
$767$	−2.13870	−	1.52296i	−0.0772241	−	0.0549910i
$768$	8.22646	−	5.19426i	0.296847	−	0.187432i
$769$	4.20606	−	6.54475i	0.151674	−	0.236010i	−0.757099	−	0.653300i	$-0.773384\pi$
$769$	4.20606	−	6.54475i	0.151674	−	0.236010i	0.908773	+	0.417291i	$0.137020\pi$
$770$	15.7842	−	87.1791i	0.568823	−	3.14172i
$771$	8.58471	+	36.6651i	0.309171	+	1.32046i
$772$	−0.927177	+	0.477993i	−0.0333698	+	0.0172033i
$773$	−6.38025	+	18.4345i	−0.229482	+	0.663044i	0.770200	+	0.637803i	$0.220156\pi$
$773$	−6.38025	+	18.4345i	−0.229482	+	0.663044i	−0.999681	+	0.0252409i	$0.991965\pi$
$774$	−1.87273	+	0.238725i	−0.0673137	+	0.00858080i
$775$	−13.7716	+	0.656021i	−0.494690	+	0.0235650i
$776$	−3.64381	−	1.06992i	−0.130805	−	0.0384078i
$777$	20.0399	−	2.94844i	0.718928	−	0.105775i
$778$	19.5903	−	5.75222i	0.702345	−	0.206227i
$779$	−3.50822	+	2.49820i	−0.125695	+	0.0895071i
$780$	−4.09816	−	2.41002i	−0.146738	−	0.0862925i
$781$	−22.8071	−	39.5031i	−0.816103	−	1.41353i
$782$	41.6382	+	36.2625i	1.48898	+	1.29674i
$783$	22.9788	+	11.1685i	0.821197	+	0.399129i
$784$	8.35126	−	5.63733i	0.298259	−	0.201333i
$785$	−15.5844	−	7.11717i	−0.556232	−	0.254023i
$786$	−54.5171	+	7.39349i	−1.94456	+	0.263717i
$787$	−7.67024	+	39.7970i	−0.273414	+	1.41861i	0.542315	+	0.840175i	$0.317548\pi$
$787$	−7.67024	+	39.7970i	−0.273414	+	1.41861i	−0.815729	+	0.578434i	$0.803664\pi$
$788$	3.47762	−	0.843661i	0.123885	−	0.0300542i
$789$	−18.2750	+	8.16976i	−0.650607	+	0.290851i
$790$	−62.8352	+	28.6959i	−2.23558	+	1.02095i
$791$	−41.4909	−	16.0696i	−1.47525	−	0.571370i
$792$	−33.6912	+	5.93573i	−1.19716	+	0.210917i
$793$	1.11559	+	0.877306i	0.0396156	+	0.0311541i
$794$	21.3098	−	8.53116i	0.756257	−	0.302760i
$795$	48.7760	−	16.4456i	1.72991	−	0.583264i
$796$	14.9888	+	77.7692i	0.531263	+	2.75646i
$797$	5.29058	+	11.5848i	0.187402	+	0.410353i	0.979891	−	0.199533i	$-0.0639425\pi$
$797$	5.29058	+	11.5848i	0.187402	+	0.410353i	−0.792489	+	0.609886i	$0.791215\pi$
$798$	36.4508	−	46.6652i	1.29034	−	1.65193i
$799$	−25.4927	−	7.48532i	−0.901866	−	0.264812i
$800$	−11.9740	+	4.14426i	−0.423347	+	0.146522i
$801$	7.97749	+	0.127720i	0.281871	+	0.00451278i
$802$	−72.0744	+	6.88227i	−2.54503	+	0.243021i
$803$	−16.8632	−	6.75100i	−0.595088	−	0.238237i
$804$	−51.6272	+	20.1905i	−1.82075	+	0.712063i
$805$	22.5949	−	24.1175i	0.796366	−	0.850031i
$806$		−	6.23746i		−	0.219705i
$807$	19.5741	+	0.156681i	0.689040	+	0.00551544i
$808$	−2.04810	−	21.4487i	−0.0720521	−	0.754563i
$809$	−24.2935	+	25.4783i	−0.854115	+	0.895770i	−0.995556	−	0.0941764i	$-0.969978\pi$
$809$	−24.2935	+	25.4783i	−0.854115	+	0.895770i	0.141440	+	0.989947i	$0.454827\pi$
$810$	−13.0002	−	50.1627i	−0.456781	−	1.76254i
$811$	−3.35745	+	11.4344i	−0.117896	+	0.401517i	−0.997203	−	0.0747383i	$-0.976188\pi$
$811$	−3.35745	+	11.4344i	−0.117896	+	0.401517i	0.879307	+	0.476255i	$0.158006\pi$
$812$	37.5541	−	0.423816i	1.31789	−	0.0148730i
$813$	−1.19157	+	1.22982i	−0.0417902	+	0.0431317i
$814$	55.8018	−	10.7549i	1.95585	−	0.376960i
$815$	1.25068	−	26.2550i	0.0438094	−	0.919673i
$816$	−9.46863	+	8.88472i	−0.331468	+	0.311027i
$817$	1.02856	−	1.30792i	0.0359848	−	0.0457584i
$818$	38.0769	+	24.4705i	1.33133	+	0.855592i
$819$	−0.425896	+	2.86600i	−0.0148820	+	0.100146i
$820$	2.30153	+	5.03965i	0.0803730	+	0.175992i
$821$	35.2348	−	1.67844i	1.22970	−	0.0585780i	0.577352	−	0.816495i	$-0.304086\pi$
$821$	35.2348	−	1.67844i	1.22970	−	0.0585780i	0.652351	+	0.757917i	$0.273783\pi$
$822$	39.4221	+	56.3091i	1.37500	+	1.96401i
$823$	−3.76864	−	0.726345i	−0.131366	−	0.0253188i	0.123144	−	0.992389i	$-0.460702\pi$
$823$	−3.76864	−	0.726345i	−0.131366	−	0.0253188i	−0.254511	+	0.967070i	$0.581914\pi$
$824$	2.51948	−	10.3855i	0.0877704	−	0.361794i
$825$	17.9407	+	0.998606i	0.624613	+	0.0347670i
$826$	−24.7862	−	33.9890i	−0.862422	−	1.18263i
$827$		−	15.8710i		−	0.551888i	−0.961174	−	0.275944i	$-0.911010\pi$
$827$		−	15.8710i		−	0.551888i	0.961174	−	0.275944i	$-0.0889905\pi$
$828$	−38.2684	−	16.1485i	−1.32992	−	0.561198i
$829$	−34.5685	+	19.9582i	−1.20062	+	0.693175i	−0.960692	−	0.277616i	$-0.910456\pi$
$829$	−34.5685	+	19.9582i	−1.20062	+	0.693175i	−0.239923	+	0.970792i	$0.577122\pi$
$830$	1.73639	+	2.20800i	0.0602710	+	0.0766408i
$831$	1.42242	+	0.930307i	0.0493433	+	0.0322720i
$832$	−1.31894	−	4.49191i	−0.0457262	−	0.155729i
$833$	25.8102	−	25.7468i	0.894271	−	0.892074i
$834$	59.0718	−	5.16388i	2.04549	−	0.178811i
$835$	−1.47336	−	30.9296i	−0.0509877	−	1.07036i
$836$	56.9271	−	79.9429i	1.96886	−	2.76488i
$837$	28.4053	−	28.3932i	0.981830	−	0.981412i
$838$	24.8826	+	48.2656i	0.859557	+	1.66731i
$839$	−4.68136	+	32.5596i	−0.161618	+	1.12408i	0.733965	+	0.679187i	$0.237668\pi$
$839$	−4.68136	+	32.5596i	−0.161618	+	1.12408i	−0.895583	+	0.444894i	$0.853241\pi$
$840$	−15.3834	−	17.6361i	−0.530778	−	0.608505i
$841$	4.05787	+	2.60784i	0.139927	+	0.0899254i
$842$	−5.83617	−	30.2809i	−0.201128	−	1.04355i
$843$	48.8226	+	12.2589i	1.68154	+	0.422217i
$844$	1.59086	+	0.820147i	0.0547598	+	0.0282306i
$845$	24.2540	−	23.1261i	0.834362	−	0.795562i
$846$	33.8160	−	1.06864i	1.16262	−	0.0367407i
$847$	−58.5202	+	14.8981i	−2.01078	+	0.511904i
$848$	14.9397	+	6.82271i	0.513030	+	0.234293i
$849$	0.116106	−	14.5050i	0.00398474	−	0.497811i
$850$	−17.7853	+	10.2683i	−0.610031	+	0.352201i
$851$	19.6600	+	7.92780i	0.673937	+	0.271762i
$852$	−38.7731	−	5.89187i	−1.32834	−	0.201852i
$853$	−27.9069	+	4.01241i	−0.955515	+	0.137382i	−0.602397	−	0.798197i	$-0.705788\pi$
$853$	−27.9069	+	4.01241i	−0.955515	+	0.137382i	−0.353118	+	0.935579i	$0.614878\pi$
$854$	12.5087	+	18.9893i	0.428038	+	0.649799i
$855$	39.1827	+	23.4664i	1.34002	+	0.802533i
$856$	8.71462	+	25.1792i	0.297860	+	0.860609i
$857$	−2.38080	−	9.81379i	−0.0813265	−	0.335233i	0.916584	−	0.399842i	$-0.130935\pi$
$857$	−2.38080	−	9.81379i	−0.0813265	−	0.335233i	−0.997911	+	0.0646094i	$0.979420\pi$
$858$	−0.837466	+	8.08583i	−0.0285906	+	0.276046i
$859$	−5.08803	+	53.2843i	−0.173602	+	1.81804i	0.318970	+	0.947765i	$0.396663\pi$
$859$	−5.08803	+	53.2843i	−0.173602	+	1.81804i	−0.492571	+	0.870272i	$0.663943\pi$
$860$	−1.40171	−	1.61766i	−0.0477979	−	0.0551617i
$861$	2.32204	−	2.45134i	0.0791348	−	0.0835413i
$862$	5.93036	−	41.2466i	0.201989	−	1.40486i
$863$	−7.53317	+	9.57921i	−0.256432	+	0.326080i	−0.897175	−	0.441676i	$-0.854384\pi$
$863$	−7.53317	+	9.57921i	−0.256432	+	0.326080i	0.640743	+	0.767756i	$0.278627\pi$
$864$	17.6964	−	32.3921i	0.602044	−	1.10200i
$865$	3.32986	−	9.62099i	0.113219	−	0.327123i
$866$	−28.1752	−	2.69041i	−0.957433	−	0.0914237i
$867$	−10.2852	+	14.2016i	−0.349304	+	0.482312i
$868$	18.6785	−	56.0049i	0.633989	−	1.90093i
$869$	52.7320	+	45.6925i	1.78881	+	1.55001i
$870$	6.58976	+	48.5907i	0.223414	+	1.64738i
$871$	0.384690	+	4.02866i	0.0130347	+	0.136506i
$872$	−1.29840	−	1.65105i	−0.0439694	−	0.0559116i
$873$	−5.66794	+	1.27931i	−0.191831	+	0.0432982i
$874$	57.5880	−	22.8878i	1.94794	−	0.774192i
$875$	−10.3774	−	19.5836i	−0.350821	−	0.662046i
$876$	−13.5871	+	7.70015i	−0.459064	+	0.260164i
$877$	−32.2034	−	45.2233i	−1.08743	−	1.52708i	−0.827509	−	0.561452i	$-0.810243\pi$
$877$	−32.2034	−	45.2233i	−1.08743	−	1.52708i	−0.259921	−	0.965630i	$-0.583696\pi$
$878$	−3.55811	−	3.39265i	−0.120080	−	0.114496i
$879$	−11.6126	+	2.14189i	−0.391683	+	0.0722440i
$880$	15.0464	+	15.7802i	0.507213	+	0.531949i
$881$	−15.7659	+	10.1321i	−0.531166	+	0.341360i	−0.778575	−	0.627551i	$-0.784057\pi$
$881$	−15.7659	+	10.1321i	−0.531166	+	0.341360i	0.247409	+	0.968911i	$0.420421\pi$
$882$	−21.0013	+	41.4016i	−0.707151	+	1.39406i
$883$	−15.7522	−	18.1790i	−0.530104	−	0.611772i	0.426028	−	0.904710i	$-0.359913\pi$
$883$	−15.7522	−	18.1790i	−0.530104	−	0.611772i	−0.956132	+	0.292938i	$0.905367\pi$
$884$	−2.51503	−	4.87848i	−0.0845897	−	0.164081i
$885$	23.6610	−	22.2019i	0.795356	−	0.746308i
$886$	18.8876	−	7.56145i	0.634541	−	0.254032i
$887$	−30.3222	+	15.6322i	−1.01812	+	0.524876i	−0.884689	−	0.466182i	$-0.845629\pi$
$887$	−30.3222	+	15.6322i	−1.01812	+	0.524876i	−0.133429	+	0.991058i	$0.542599\pi$
$888$	6.98513	−	13.2870i	0.234406	−	0.445884i
$889$	−8.81363	+	11.4715i	−0.295600	+	0.384743i
$890$	8.27873	+	12.8820i	0.277504	+	0.431804i
$891$	−40.6349	+	32.9932i	−1.36132	+	1.10531i
$892$	−4.99484	+	25.9157i	−0.167240	+	0.867722i
$893$	−20.5775	+	21.5811i	−0.688601	+	0.722184i
$894$	−25.9073	−	16.9441i	−0.866468	−	0.566696i
$895$	−22.1348	+	3.18251i	−0.739886	+	0.106379i
$896$	1.35860	−	37.3953i	0.0453877	−	1.24929i
$897$	−1.89939	+	2.36373i	−0.0634187	+	0.0789227i
$898$	−18.7412	+	32.4608i	−0.625404	+	1.08323i
$899$	−29.8736	+	23.4928i	−0.996340	+	0.783530i
$900$	10.3025	−	11.5120i	0.343416	−	0.383735i
$901$	57.7494	+	14.0099i	1.92391	+	0.466736i
$902$	6.20356	−	7.15929i	0.206556	−	0.238378i
$903$	−0.593949	+	1.16144i	−0.0197654	+	0.0386503i
$904$	−27.7396	+	17.8272i	−0.922606	+	0.592923i
$905$	0.853154	−	8.93463i	0.0283598	−	0.296997i
$906$	−7.43893	+	0.294702i	−0.247142	+	0.00979083i
$907$	−0.804647	+	16.8916i	−0.0267179	+	0.560877i	0.945333	+	0.326107i	$0.105737\pi$
$907$	−0.804647	+	16.8916i	−0.0267179	+	0.560877i	−0.972051	+	0.234770i	$0.924566\pi$
$908$	−34.3296	−	26.9971i	−1.13927	−	0.895931i
$909$	−18.6902	−	27.1565i	−0.619914	−	0.900723i
$910$	−5.03206	+	2.36706i	−0.166811	+	0.0784671i
$911$	−23.6872	+	20.5250i	−0.784791	+	0.680025i	−0.952069	−	0.305885i	$-0.901048\pi$
$911$	−23.6872	+	20.5250i	−0.784791	+	0.680025i	0.167278	+	0.985910i	$0.446502\pi$
$912$	3.99356	+	14.0148i	0.132240	+	0.464078i
$913$	1.30013	−	2.52190i	0.0430280	−	0.0834626i
$914$	−16.6066	+	4.02872i	−0.549297	+	0.133258i
$915$	−13.3464	+	11.3790i	−0.441218	+	0.376177i
$916$	−10.4328	−	35.5308i	−0.344709	−	1.17397i
$917$	−17.0373	+	33.9839i	−0.562620	+	1.12225i
$918$	18.2278	−	56.9795i	0.601606	−	1.88060i
$919$	−30.2016	+	52.3107i	−0.996259	+	1.72557i	−0.423291	+	0.905994i	$0.639125\pi$
$919$	−30.2016	+	52.3107i	−0.996259	+	1.72557i	−0.572969	+	0.819577i	$0.694208\pi$
$920$	−4.57491	−	24.0606i	−0.150830	−	0.793255i
$921$	−13.0817	+	16.3634i	−0.431055	+	0.539193i
$922$	−9.69481	+	24.2165i	−0.319282	+	0.797527i
$923$	−1.18937	+	2.60437i	−0.0391487	+	0.0857238i
$924$	−31.7330	+	70.0932i	−1.04394	+	2.30590i
$925$	−5.16324	+	5.95869i	−0.169766	+	0.195921i
$926$	−34.3964	−	36.0739i	−1.13033	−	1.18546i
$927$	−4.35488	−	15.7604i	−0.143033	−	0.517640i
$928$	−20.2600	+	28.4511i	−0.665066	+	0.933955i
$929$	−30.9641	+	5.96784i	−1.01590	+	0.195798i	−0.669912	−	0.742441i	$-0.733668\pi$
$929$	−30.9641	+	5.96784i	−1.01590	+	0.195798i	−0.345987	+	0.938239i	$0.612456\pi$
$930$	75.5701	+	15.1933i	2.47804	+	0.498208i
$931$	−12.4104	−	38.9885i	−0.406736	−	1.27780i
$932$	43.7878	+	6.29573i	1.43432	+	0.206223i
$933$	−18.5987	+	21.1201i	−0.608895	+	0.691441i
$934$	15.6277	+	5.40880i	0.511354	+	0.176981i
$935$	64.2621	+	45.7608i	2.10159	+	1.49654i
$936$	1.53014	+	1.50648i	0.0500143	+	0.0492410i
$937$	14.3643	−	48.9203i	0.469261	−	1.59816i	−0.296502	−	0.955032i	$-0.595820\pi$
$937$	14.3643	−	48.9203i	0.469261	−	1.59816i	0.765763	−	0.643123i	$-0.222362\pi$
$938$	−14.5748	+	63.1819i	−0.475884	+	2.06296i
$939$	11.4606	+	14.8158i	0.374001	+	0.483496i
$940$	22.2507	+	31.2468i	0.725739	+	1.01916i
$941$	−5.40779	+	4.25273i	−0.176289	+	0.138635i	−0.702405	−	0.711778i	$-0.747890\pi$
$941$	−5.40779	+	4.25273i	−0.176289	+	0.138635i	0.526116	+	0.850413i	$0.323648\pi$
$942$	19.6728	+	15.7273i	0.640973	+	0.512423i
$943$	3.39299	−	0.987061i	0.110491	−	0.0321431i
$944$	10.3527			0.336952
$945$	−33.6857	−	12.1410i	−1.09580	−	0.394947i
$946$	−1.52037	+	3.32914i	−0.0494314	+	0.108240i
$947$	−42.4885	−	10.3076i	−1.38069	−	0.334952i	−0.524412	−	0.851465i	$-0.675715\pi$
$947$	−42.4885	−	10.3076i	−1.38069	−	0.334952i	−0.856279	+	0.516513i	$0.827230\pi$
$948$	58.9955	−	10.8814i	1.91609	−	0.353413i
$949$	0.268796	+	1.10799i	0.00872550	+	0.0359670i
$950$	1.09671	+	23.0229i	0.0355821	+	0.746960i
$951$	−6.03442	+	6.22813i	−0.195680	+	0.201961i
$952$	−4.14651	−	26.6973i	−0.134389	−	0.865265i
$953$	20.5215	−	31.9321i	0.664757	−	1.03438i	−0.331113	−	0.943591i	$-0.607424\pi$
$953$	20.5215	−	31.9321i	0.664757	−	1.03438i	0.995870	−	0.0907909i	$-0.0289395\pi$
$954$	−75.4341	+	5.98622i	−2.44227	+	0.193811i
$955$	−10.0826	−	25.1852i	−0.326267	−	0.814974i
$956$	−42.9509	−	2.04600i	−1.38913	−	0.0661725i
$957$	41.8804	−	26.4436i	1.35380	−	0.854801i
$958$	−76.0649	+	34.7377i	−2.45754	+	1.12232i
$959$	47.4935	−	0.535988i	1.53365	−	0.0173080i
$960$	57.6346	−	5.03825i	1.86015	−	0.162609i
$961$	9.40057	+	27.1611i	0.303244	+	0.876166i
$962$	−2.58157	−	2.46152i	−0.0832331	−	0.0793626i
$963$	30.3786	+	27.1867i	0.978936	+	0.876079i
$964$	26.2419	−	65.5490i	0.845193	−	2.11119i
$965$	−0.941102			−0.0302951
$966$	−40.8509	+	26.2983i	−1.31436	+	0.846134i
$967$	−22.2157			−0.714410			−0.357205	−	0.934026i	$-0.616270\pi$
$967$	−22.2157			−0.714410			−0.357205	+	0.934026i	$0.616270\pi$
$968$	−16.6326	+	41.5463i	−0.534593	+	1.33535i
$969$	23.7849	+	47.0573i	0.764082	+	1.51170i
$970$	−8.07100	−	7.69569i	−0.259144	−	0.247094i
$971$	−6.65533	−	19.2293i	−0.213580	−	0.617098i	0.786420	−	0.617692i	$-0.211932\pi$
$971$	−6.65533	−	19.2293i	−0.213580	−	0.617098i	−1.00000		0.000593987i	$0.999811\pi$
$972$	0.341034	+	45.0018i	0.0109387	+	1.44343i
$973$	20.0850	−	35.7130i	0.643895	−	1.14491i
$974$	−18.0190	+	8.22901i	−0.577367	+	0.263675i
$975$	−0.602140	−	0.953646i	−0.0192839	−	0.0305411i
$976$	−5.58978	−	0.266274i	−0.178924	−	0.00852322i
$977$	11.7248	+	29.2871i	0.375110	+	0.936979i	0.989044	+	0.147622i	$0.0471618\pi$
$977$	11.7248	+	29.2871i	0.375110	+	0.936979i	−0.613934	+	0.789357i	$0.710414\pi$
$978$	−11.1829	+	36.9875i	−0.357589	+	1.18273i
$979$	8.36223	−	13.0119i	0.267258	−	0.415862i
$980$	−52.2702	+	6.18447i	−1.66971	+	0.197556i
$981$	−2.96403	−	1.24203i	−0.0946341	−	0.0396551i
$982$	0.489038	+	10.2662i	0.0156058	+	0.327607i
$983$	−7.05176	−	29.0677i	−0.224916	−	0.927117i	−0.966584	−	0.256350i	$-0.917480\pi$
$983$	−7.05176	−	29.0677i	−0.224916	−	0.927117i	0.741668	−	0.670767i	$-0.234035\pi$
$984$	−0.453882	−	2.46080i	−0.0144692	−	0.0784473i
$985$	3.13746	+	0.761139i	0.0999677	+	0.0242519i
$986$	−23.5165	+	51.4939i	−0.748917	+	1.63990i
$987$	12.5745	−	19.7082i	0.400252	−	0.627320i
$988$	−6.16005			−0.195977
$989$	−1.15033	+	0.735211i	−0.0365782	+	0.0233783i
$990$	−95.9242	−	29.8419i	−3.04867	−	0.948439i
$991$	−6.76128	+	5.31713i	−0.214779	+	0.168904i	−0.719753	−	0.694231i	$-0.755745\pi$
$991$	−6.76128	+	5.31713i	−0.214779	+	0.168904i	0.504973	+	0.863135i	$0.331502\pi$
$992$	31.8480	+	44.7243i	1.01118	+	1.42000i
$993$	−10.5776	+	8.18213i	−0.335670	+	0.259652i
$994$	−31.2792	+	33.5548i	−0.992116	+	1.06429i
$995$	−20.1308	+	68.5591i	−0.638188	+	2.17347i
$996$	−0.995593	−	2.22705i	−0.0315466	−	0.0705668i
$997$	0.813181	+	0.579064i	0.0257537	+	0.0183391i	0.592861	−	0.805305i	$-0.297998\pi$
$997$	0.813181	+	0.579064i	0.0257537	+	0.0183391i	−0.567108	+	0.823644i	$0.691938\pi$
$998$	54.5386	+	18.8760i	1.72639	+	0.597509i
$999$	−0.541686	−	22.9614i	−0.0171382	−	0.726465i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bb.a.26.8	✓	1200
3.2	odd	2	inner	483.2.bb.a.26.53	yes	1200
7.3	odd	6	inner	483.2.bb.a.164.8	yes	1200
21.17	even	6	inner	483.2.bb.a.164.53	yes	1200
23.8	even	11	inner	483.2.bb.a.215.53	yes	1200
69.8	odd	22	inner	483.2.bb.a.215.8	yes	1200
161.31	odd	66	inner	483.2.bb.a.353.53	yes	1200
483.353	even	66	inner	483.2.bb.a.353.8	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bb.a.26.8	✓	1200	1.1	even	1	trivial
483.2.bb.a.26.53	yes	1200	3.2	odd	2	inner
483.2.bb.a.164.8	yes	1200	7.3	odd	6	inner
483.2.bb.a.164.53	yes	1200	21.17	even	6	inner
483.2.bb.a.215.8	yes	1200	69.8	odd	22	inner
483.2.bb.a.215.53	yes	1200	23.8	even	11	inner
483.2.bb.a.353.8	yes	1200	483.353	even	66	inner
483.2.bb.a.353.53	yes	1200	161.31	odd	66	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bb (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.821614 + 2.05229i) q^{2} +(1.54581 - 0.781324i) q^{3} +(-2.08939 - 1.99223i) q^{4} +(-0.851870 - 2.46132i) q^{5} +(0.333444 + 3.81440i) q^{6} +(2.30607 + 1.29693i) q^{7} +(1.78355 - 0.814520i) q^{8} +(1.77907 - 2.41556i) q^{9} +O(q^{10})\)	\(q+(-0.821614 + 2.05229i) q^{2} +(1.54581 - 0.781324i) q^{3} +(-2.08939 - 1.99223i) q^{4} +(-0.851870 - 2.46132i) q^{5} +(0.333444 + 3.81440i) q^{6} +(2.30607 + 1.29693i) q^{7} +(1.78355 - 0.814520i) q^{8} +(1.77907 - 2.41556i) q^{9} +(5.75125 + 0.273966i) q^{10} +(-2.16153 - 5.39925i) q^{11} +(-4.78637 - 1.44712i) q^{12} +(-0.197359 + 0.307097i) q^{13} +(-4.55639 + 3.66715i) q^{14} +(-3.23991 - 3.13915i) q^{15} +(-0.0684899 - 1.43778i) q^{16} +(-1.22784 - 5.06124i) q^{17} +(3.49572 + 5.63582i) q^{18} +(-5.68039 - 1.37805i) q^{19} +(-3.12361 + 6.83976i) q^{20} +(4.57808 + 0.203030i) q^{21} +12.8568 q^{22} +(4.02801 + 2.60291i) q^{23} +(2.12063 - 2.65262i) q^{24} +(-1.40213 + 1.10265i) q^{25} +(-0.468100 - 0.657354i) q^{26} +(0.862770 - 5.12402i) q^{27} +(-2.23448 - 7.30401i) q^{28} +(-1.38526 + 4.71778i) q^{29} +(9.10440 - 4.07009i) q^{30} +(6.29609 + 4.48343i) q^{31} +(6.71281 + 2.32333i) q^{32} +(-7.55988 - 6.65736i) q^{33} +(11.3960 + 1.63849i) q^{34} +(1.22769 - 6.78079i) q^{35} +(-8.52949 + 1.50273i) q^{36} +(4.34027 - 0.836518i) q^{37} +(7.49524 - 10.5256i) q^{38} +(-0.0651381 + 0.628916i) q^{39} +(-3.52414 - 3.69602i) q^{40} +(0.482513 - 0.556850i) q^{41} +(-4.17809 + 9.22874i) q^{42} +(-0.118254 + 0.258940i) q^{43} +(-6.24024 + 15.5874i) q^{44} +(-7.46099 - 2.32111i) q^{45} +(-8.65139 + 6.12807i) q^{46} +(2.55075 - 4.41804i) q^{47} +(-1.22924 - 2.16902i) q^{48} +(3.63592 + 5.98165i) q^{49} +(-1.11094 - 3.78353i) q^{50} +(-5.85248 - 6.86438i) q^{51} +(1.02417 - 0.248460i) q^{52} +(-5.22842 + 10.1417i) q^{53} +(9.80713 + 5.98063i) q^{54} +(-11.4479 + 9.91967i) q^{55} +(5.16937 + 0.434808i) q^{56} +(-9.85751 + 2.30802i) q^{57} +(-8.54411 - 6.71916i) q^{58} +(-0.342225 + 7.18419i) q^{59} +(0.515547 + 13.0135i) q^{60} +(0.369557 - 3.87018i) q^{61} +(-14.3743 + 9.23778i) q^{62} +(7.23547 - 3.26311i) q^{63} +(-8.39826 + 9.69211i) q^{64} +(0.923988 + 0.224157i) q^{65} +(19.8742 - 10.0453i) q^{66} +(8.71434 - 6.85303i) q^{67} +(-7.51769 + 13.0210i) q^{68} +(8.26026 + 0.876422i) q^{69} +(12.9075 + 8.09078i) q^{70} +(7.76326 - 1.11619i) q^{71} +(1.20553 - 5.75735i) q^{72} +(2.15529 - 2.26040i) q^{73} +(-1.84924 + 9.59479i) q^{74} +(-1.30590 + 2.80000i) q^{75} +(9.12314 + 14.1959i) q^{76} +(2.01782 - 15.2544i) q^{77} +(-1.23720 - 0.650408i) q^{78} +(-10.6636 + 5.49748i) q^{79} +(-3.48049 + 1.39338i) q^{80} +(-2.66984 - 8.59488i) q^{81} +(0.746379 + 1.44777i) q^{82} +(0.319479 + 0.368698i) q^{83} +(-9.16089 - 9.54477i) q^{84} +(-11.4114 + 7.33363i) q^{85} +(-0.434262 - 0.455441i) q^{86} +(1.54475 + 8.37514i) q^{87} +(-8.25299 - 7.86921i) q^{88} +(1.54266 + 2.16637i) q^{89} +(10.8936 - 13.4051i) q^{90} +(-0.853409 + 0.452225i) q^{91} +(-3.23050 - 13.4632i) q^{92} +(13.2356 + 2.01125i) q^{93} +(6.97137 + 8.86481i) q^{94} +(1.44714 + 15.1551i) q^{95} +(12.1920 - 1.65345i) q^{96} +(-1.46377 - 1.26836i) q^{97} +(-15.2634 + 2.54737i) q^{98} +(-16.8877 - 4.38431i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

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