LMFDB - Embedded newform 370.2.ba.b.283.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(17,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([9, 7]))

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

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

chi := DirichletCharacter("370.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.ba (of order $36$, degree $12$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$10$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			283.8
Character	$\chi$	$=$	370.283
Dual form			370.2.ba.b.17.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.173648 + 0.984808i) q^{2} +(1.32542 + 0.928067i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.101493 - 2.23376i) q^{5} +(-1.14412 + 1.14412i) q^{6} +(0.111534 - 1.27484i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-0.130639 - 0.358928i) q^{9} +O(q^{10})$	\(q+(-0.173648 + 0.984808i) q^{2} +(1.32542 + 0.928067i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.101493 - 2.23376i) q^{5} +(-1.14412 + 1.14412i) q^{6} +(0.111534 - 1.27484i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-0.130639 - 0.358928i) q^{9} +(2.18220 + 0.487840i) q^{10} +(3.41422 + 1.97120i) q^{11} +(-0.928067 - 1.32542i) q^{12} +(5.67603 + 2.06591i) q^{13} +(1.23610 + 0.331212i) q^{14} +(2.20760 - 2.86648i) q^{15} +(0.766044 + 0.642788i) q^{16} +(1.63815 + 4.50077i) q^{17} +(0.376161 - 0.0663273i) q^{18} +(-1.17250 + 1.67451i) q^{19} +(-0.859364 + 2.06434i) q^{20} +(1.33096 - 1.58618i) q^{21} +(-2.53412 + 3.02005i) q^{22} +(-2.61359 - 4.52686i) q^{23} +(1.46644 - 0.683811i) q^{24} +(-4.97940 - 0.453421i) q^{25} +(-3.02015 + 5.23106i) q^{26} +(1.41629 - 5.28568i) q^{27} +(-0.540827 + 1.15981i) q^{28} +(0.104271 + 0.389145i) q^{29} +(2.43958 + 2.67182i) q^{30} +(-3.76456 - 3.76456i) q^{31} +(-0.766044 + 0.642788i) q^{32} +(2.69585 + 5.78128i) q^{33} +(-4.71685 + 0.831708i) q^{34} +(-2.83636 - 0.378526i) q^{35} +0.381964i q^{36} +(-0.431571 - 6.06743i) q^{37} +(-1.44547 - 1.44547i) q^{38} +(5.60580 + 8.00592i) q^{39} +(-1.88375 - 1.20478i) q^{40} +(-3.22430 + 8.85869i) q^{41} +(1.33096 + 1.58618i) q^{42} +2.78417 q^{43} +(-2.53412 - 3.02005i) q^{44} +(-0.815020 + 0.255389i) q^{45} +(4.91193 - 1.78780i) q^{46} +(-10.8047 - 2.89511i) q^{47} +(0.418778 + 1.56290i) q^{48} +(5.28089 + 0.931163i) q^{49} +(1.31120 - 4.82501i) q^{50} +(-2.00579 + 7.48570i) q^{51} +(-4.62714 - 3.88263i) q^{52} +(-0.144376 - 1.65022i) q^{53} +(4.95944 + 2.31262i) q^{54} +(4.74971 - 7.42649i) q^{55} +(-1.04827 - 0.734009i) q^{56} +(-3.10811 + 1.13126i) q^{57} +(-0.401340 + 0.0351127i) q^{58} +(-0.316329 - 3.61565i) q^{59} +(-3.05486 + 1.93856i) q^{60} +(3.38137 + 7.25138i) q^{61} +(4.36107 - 3.05366i) q^{62} +(-0.472146 + 0.126511i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(5.19082 - 12.4692i) q^{65} +(-6.16158 + 1.65099i) q^{66} +(2.47567 + 0.216593i) q^{67} -4.78962i q^{68} +(0.737141 - 8.42556i) q^{69} +(0.865305 - 2.72754i) q^{70} +(2.29933 + 13.0401i) q^{71} +(-0.376161 - 0.0663273i) q^{72} +(-8.34881 + 8.34881i) q^{73} +(6.05020 + 0.628584i) q^{74} +(-6.17897 - 5.22218i) q^{75} +(1.67451 - 1.17250i) q^{76} +(2.89376 - 4.13271i) q^{77} +(-8.85773 + 4.13043i) q^{78} +(-7.48287 - 0.654667i) q^{79} +(1.51358 - 1.64592i) q^{80} +(5.90483 - 4.95474i) q^{81} +(-8.16421 - 4.71361i) q^{82} +(-1.02033 - 0.475790i) q^{83} +(-1.79320 + 1.03530i) q^{84} +(10.2199 - 3.20243i) q^{85} +(-0.483467 + 2.74188i) q^{86} +(-0.222950 + 0.612550i) q^{87} +(3.41422 - 1.97120i) q^{88} +(-7.22041 + 0.631704i) q^{89} +(-0.109982 - 0.846986i) q^{90} +(3.26676 - 7.00559i) q^{91} +(0.907689 + 5.14776i) q^{92} +(-1.49585 - 8.48337i) q^{93} +(4.72735 - 10.1378i) q^{94} +(3.62145 + 2.78904i) q^{95} +(-1.61188 + 0.141021i) q^{96} +(9.95561 - 5.74787i) q^{97} +(-1.83403 + 5.03896i) q^{98} +(0.261488 - 1.48297i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q - 6 q^{3} - 6 q^{5} + 60 q^{8}+O(q^{10}) $ 120 * q - 6 * q^3 - 6 * q^5 + 60 * q^8	$ 120 q - 6 q^{3} - 6 q^{5} + 60 q^{8} + 12 q^{10} - 36 q^{11} - 6 q^{12} - 6 q^{13} + 12 q^{14} - 24 q^{15} - 12 q^{19} + 12 q^{20} + 42 q^{21} + 6 q^{22} + 6 q^{24} + 6 q^{25} + 6 q^{26} + 6 q^{27} - 36 q^{30} - 18 q^{33} - 30 q^{35} + 12 q^{37} - 48 q^{38} - 12 q^{40} - 30 q^{41} + 42 q^{42} + 6 q^{44} - 30 q^{45} - 6 q^{46} + 12 q^{47} - 60 q^{49} - 48 q^{50} + 12 q^{51} - 6 q^{52} + 12 q^{53} + 18 q^{54} + 36 q^{57} + 6 q^{58} - 24 q^{59} + 54 q^{60} - 72 q^{61} + 6 q^{62} + 96 q^{63} - 60 q^{64} - 18 q^{65} - 42 q^{67} - 96 q^{69} - 12 q^{70} - 90 q^{73} + 24 q^{74} - 60 q^{75} + 18 q^{76} + 6 q^{77} + 24 q^{78} - 18 q^{79} + 6 q^{80} - 108 q^{81} - 36 q^{82} + 48 q^{83} + 36 q^{85} + 24 q^{86} + 108 q^{87} - 36 q^{88} + 54 q^{89} - 6 q^{90} + 42 q^{91} - 12 q^{92} - 12 q^{93} - 18 q^{94} - 198 q^{95} - 12 q^{96} - 72 q^{97} + 48 q^{98} + 42 q^{99}+O(q^{100}) $ 120 * q - 6 * q^3 - 6 * q^5 + 60 * q^8 + 12 * q^10 - 36 * q^11 - 6 * q^12 - 6 * q^13 + 12 * q^14 - 24 * q^15 - 12 * q^19 + 12 * q^20 + 42 * q^21 + 6 * q^22 + 6 * q^24 + 6 * q^25 + 6 * q^26 + 6 * q^27 - 36 * q^30 - 18 * q^33 - 30 * q^35 + 12 * q^37 - 48 * q^38 - 12 * q^40 - 30 * q^41 + 42 * q^42 + 6 * q^44 - 30 * q^45 - 6 * q^46 + 12 * q^47 - 60 * q^49 - 48 * q^50 + 12 * q^51 - 6 * q^52 + 12 * q^53 + 18 * q^54 + 36 * q^57 + 6 * q^58 - 24 * q^59 + 54 * q^60 - 72 * q^61 + 6 * q^62 + 96 * q^63 - 60 * q^64 - 18 * q^65 - 42 * q^67 - 96 * q^69 - 12 * q^70 - 90 * q^73 + 24 * q^74 - 60 * q^75 + 18 * q^76 + 6 * q^77 + 24 * q^78 - 18 * q^79 + 6 * q^80 - 108 * q^81 - 36 * q^82 + 48 * q^83 + 36 * q^85 + 24 * q^86 + 108 * q^87 - 36 * q^88 + 54 * q^89 - 6 * q^90 + 42 * q^91 - 12 * q^92 - 12 * q^93 - 18 * q^94 - 198 * q^95 - 12 * q^96 - 72 * q^97 + 48 * q^98 + 42 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.173648	+	0.984808i	−0.122788	+	0.696364i
$2$	−0.173648	+	0.984808i	−0.122788	+	0.696364i
$3$	1.32542	+	0.928067i	0.765230	+	0.535820i	0.889778	−	0.456394i	$-0.150859\pi$
$3$	1.32542	+	0.928067i	0.765230	+	0.535820i	−0.124548	+	0.992214i	$0.539748\pi$
$4$	−0.939693	−	0.342020i	−0.469846	−	0.171010i
$5$	0.101493	−	2.23376i	0.0453888	−	0.998969i
$5$	0.101493	−	2.23376i	0.0453888	−	0.998969i
$6$	−1.14412	+	1.14412i	−0.467086	+	0.467086i
$7$	0.111534	−	1.27484i	0.0421558	−	0.481843i	−0.945545	−	0.325490i	$-0.894471\pi$
$7$	0.111534	−	1.27484i	0.0421558	−	0.481843i	0.987701	−	0.156353i	$-0.0499737\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	−0.130639	−	0.358928i	−0.0435464	−	0.119643i
$10$	2.18220	+	0.487840i	0.690073	+	0.154268i
$11$	3.41422	+	1.97120i	1.02942	+	0.594339i	0.916820	−	0.399301i	$-0.130747\pi$
$11$	3.41422	+	1.97120i	1.02942	+	0.594339i	0.112605	+	0.993640i	$0.464081\pi$
$12$	−0.928067	−	1.32542i	−0.267910	−	0.382615i
$13$	5.67603	+	2.06591i	1.57425	+	0.572979i	0.973943	−	0.226793i	$-0.0728241\pi$
$13$	5.67603	+	2.06591i	1.57425	+	0.572979i	0.600304	+	0.799772i	$0.295046\pi$
$14$	1.23610	+	0.331212i	0.330362	+	0.0885202i
$15$	2.20760	−	2.86648i	0.570000	−	0.740121i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	1.63815	+	4.50077i	0.397309	+	1.09160i	0.963590	+	0.267384i	$0.0861593\pi$
$17$	1.63815	+	4.50077i	0.397309	+	1.09160i	−0.566281	+	0.824212i	$0.691618\pi$
$18$	0.376161	−	0.0663273i	0.0886619	−	0.0156335i
$19$	−1.17250	+	1.67451i	−0.268991	+	0.384158i	−0.930809	−	0.365506i	$-0.880896\pi$
$19$	−1.17250	+	1.67451i	−0.268991	+	0.384158i	0.661818	+	0.749664i	$0.269785\pi$
$20$	−0.859364	+	2.06434i	−0.192160	+	0.461600i
$21$	1.33096	−	1.58618i	0.290440	−	0.346133i
$22$	−2.53412	+	3.02005i	−0.540277	+	0.643877i
$23$	−2.61359	−	4.52686i	−0.544970	−	0.943916i	−0.998609	−	0.0527304i	$-0.983208\pi$
$23$	−2.61359	−	4.52686i	−0.544970	−	0.943916i	0.453639	−	0.891186i	$-0.350126\pi$
$24$	1.46644	−	0.683811i	0.299335	−	0.139582i
$25$	−4.97940	−	0.453421i	−0.995880	−	0.0906841i
$26$	−3.02015	+	5.23106i	−0.592300	+	1.02589i
$27$	1.41629	−	5.28568i	0.272566	−	1.01723i
$28$	−0.540827	+	1.15981i	−0.102207	+	0.219183i
$29$	0.104271	+	0.389145i	0.0193627	+	0.0722625i	0.974931	−	0.222507i	$-0.0714239\pi$
$29$	0.104271	+	0.389145i	0.0193627	+	0.0722625i	−0.955568	+	0.294769i	$0.904757\pi$
$30$	2.43958	+	2.67182i	0.445405	+	0.487806i
$31$	−3.76456	−	3.76456i	−0.676134	−	0.676134i	0.282989	−	0.959123i	$-0.408674\pi$
$31$	−3.76456	−	3.76456i	−0.676134	−	0.676134i	−0.959123	+	0.282989i	$0.908674\pi$
$32$	−0.766044	+	0.642788i	−0.135419	+	0.113630i
$33$	2.69585	+	5.78128i	0.469288	+	1.00639i
$34$	−4.71685	+	0.831708i	−0.808933	+	0.142637i
$35$	−2.83636	−	0.378526i	−0.479433	−	0.0639827i
$36$			0.381964i			0.0636606i
$37$	−0.431571	−	6.06743i	−0.0709499	−	0.997480i
$37$	−0.431571	−	6.06743i	−0.0709499	−	0.997480i
$38$	−1.44547	−	1.44547i	−0.234485	−	0.234485i
$39$	5.60580	+	8.00592i	0.897647	+	1.28197i
$40$	−1.88375	−	1.20478i	−0.297847	−	0.190492i
$41$	−3.22430	+	8.85869i	−0.503551	+	1.38349i	0.384234	+	0.923236i	$0.374466\pi$
$41$	−3.22430	+	8.85869i	−0.503551	+	1.38349i	−0.887785	+	0.460259i	$0.847757\pi$
$42$	1.33096	+	1.58618i	0.205372	+	0.244753i
$43$	2.78417			0.424583			0.212291	−	0.977206i	$-0.431907\pi$
$43$	2.78417			0.424583			0.212291	+	0.977206i	$0.431907\pi$
$44$	−2.53412	−	3.02005i	−0.382033	−	0.455290i
$45$	−0.815020	+	0.255389i	−0.121496	+	0.0380711i
$46$	4.91193	−	1.78780i	0.724225	−	0.263596i
$47$	−10.8047	−	2.89511i	−1.57603	−	0.422295i	−0.638335	−	0.769759i	$-0.720376\pi$
$47$	−10.8047	−	2.89511i	−1.57603	−	0.422295i	−0.937693	+	0.347464i	$0.887043\pi$
$48$	0.418778	+	1.56290i	0.0604454	+	0.225585i
$49$	5.28089	+	0.931163i	0.754412	+	0.133023i
$50$	1.31120	−	4.82501i	0.185431	−	0.682360i
$51$	−2.00579	+	7.48570i	−0.280866	+	1.04821i
$52$	−4.62714	−	3.88263i	−0.641669	−	0.538424i
$53$	−0.144376	−	1.65022i	−0.0198315	−	0.226675i	−0.999642	−	0.0267479i	$-0.991485\pi$
$53$	−0.144376	−	1.65022i	−0.0198315	−	0.226675i	0.979811	−	0.199928i	$-0.0640707\pi$
$54$	4.95944	+	2.31262i	0.674894	+	0.314708i
$55$	4.74971	−	7.42649i	0.640450	−	1.00139i
$56$	−1.04827	−	0.734009i	−0.140082	−	0.0980861i
$57$	−3.10811	+	1.13126i	−0.411679	+	0.149839i
$58$	−0.401340	+	0.0351127i	−0.0526985	+	0.00461052i
$59$	−0.316329	−	3.61565i	−0.0411825	−	0.470718i	−0.988584	−	0.150671i	$-0.951857\pi$
$59$	−0.316329	−	3.61565i	−0.0411825	−	0.470718i	0.947402	−	0.320047i	$-0.103699\pi$
$60$	−3.05486	+	1.93856i	−0.394381	+	0.250267i
$61$	3.38137	+	7.25138i	0.432940	+	0.928444i	0.994861	+	0.101252i	$0.0322849\pi$
$61$	3.38137	+	7.25138i	0.432940	+	0.928444i	−0.561920	+	0.827191i	$0.689937\pi$
$62$	4.36107	−	3.05366i	0.553857	−	0.387815i
$63$	−0.472146	+	0.126511i	−0.0594848	+	0.0159389i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	5.19082	−	12.4692i	0.643842	−	1.54662i
$66$	−6.16158	+	1.65099i	−0.758438	+	0.203223i
$67$	2.47567	+	0.216593i	0.302451	+	0.0264610i	0.237371	−	0.971419i	$-0.423714\pi$
$67$	2.47567	+	0.216593i	0.302451	+	0.0264610i	0.0650797	+	0.997880i	$0.479270\pi$
$68$		−	4.78962i		−	0.580826i
$69$	0.737141	−	8.42556i	0.0887414	−	1.01432i
$70$	0.865305	−	2.72754i	0.103424	−	0.326004i
$71$	2.29933	+	13.0401i	0.272880	+	1.54758i	0.745616	+	0.666375i	$0.232155\pi$
$71$	2.29933	+	13.0401i	0.272880	+	1.54758i	−0.472736	+	0.881204i	$0.656734\pi$
$72$	−0.376161	−	0.0663273i	−0.0443310	−	0.00781674i
$73$	−8.34881	+	8.34881i	−0.977154	+	0.977154i	−0.999745	−	0.0225904i	$-0.992809\pi$
$73$	−8.34881	+	8.34881i	−0.977154	+	0.977154i	0.0225904	+	0.999745i	$0.492809\pi$
$74$	6.05020	+	0.628584i	0.703321	+	0.0730714i
$75$	−6.17897	−	5.22218i	−0.713486	−	0.603006i
$76$	1.67451	−	1.17250i	0.192079	−	0.134495i
$77$	2.89376	−	4.13271i	0.329774	−	0.470966i
$78$	−8.85773	+	4.13043i	−1.00294	+	0.467679i
$79$	−7.48287	−	0.654667i	−0.841889	−	0.0736557i	−0.341952	−	0.939717i	$-0.611088\pi$
$79$	−7.48287	−	0.654667i	−0.841889	−	0.0736557i	−0.499937	+	0.866062i	$0.666644\pi$
$80$	1.51358	−	1.64592i	0.169224	−	0.184020i
$81$	5.90483	−	4.95474i	0.656093	−	0.550527i
$82$	−8.16421	−	4.71361i	−0.901586	−	0.520531i
$83$	−1.02033	−	0.475790i	−0.111996	−	0.0522247i	0.365813	−	0.930689i	$-0.380791\pi$
$83$	−1.02033	−	0.475790i	−0.111996	−	0.0522247i	−0.477809	+	0.878464i	$0.658569\pi$
$84$	−1.79320	+	1.03530i	−0.195654	+	0.112961i
$85$	10.2199	−	3.20243i	1.10850	−	0.347353i
$86$	−0.483467	+	2.74188i	−0.0521336	+	0.295664i
$87$	−0.222950	+	0.612550i	−0.0239028	+	0.0656723i
$88$	3.41422	−	1.97120i	0.363957	−	0.210130i
$89$	−7.22041	+	0.631704i	−0.765362	+	0.0669605i	−0.463150	−	0.886280i	$-0.653281\pi$
$89$	−7.22041	+	0.631704i	−0.765362	+	0.0669605i	−0.302213	+	0.953241i	$0.597725\pi$
$90$	−0.109982	−	0.846986i	−0.0115931	−	0.0892801i
$91$	3.26676	−	7.00559i	0.342450	−	0.734385i
$92$	0.907689	+	5.14776i	0.0946331	+	0.536691i
$93$	−1.49585	−	8.48337i	−0.155112	−	0.879684i
$94$	4.72735	−	10.1378i	0.487588	−	1.04564i
$95$	3.62145	+	2.78904i	0.371553	+	0.286150i
$96$	−1.61188	+	0.141021i	−0.164512	+	0.0143929i
$97$	9.95561	−	5.74787i	1.01084	−	0.583608i	0.0994016	−	0.995047i	$-0.468307\pi$
$97$	9.95561	−	5.74787i	1.01084	−	0.583608i	0.911437	+	0.411439i	$0.134974\pi$
$98$	−1.83403	+	5.03896i	−0.185265	+	0.509012i
$99$	0.261488	−	1.48297i	0.0262806	−	0.149045i
$100$	4.52403	+	2.12913i	0.452403	+	0.212913i
$101$	−8.00858	+	4.62376i	−0.796883	+	0.460081i	−0.842380	−	0.538884i	$-0.818846\pi$
$101$	−8.00858	+	4.62376i	−0.796883	+	0.460081i	0.0454968	+	0.998964i	$0.485513\pi$
$102$	−7.02367	−	3.27519i	−0.695447	−	0.324292i
$103$	−7.19304	−	4.15291i	−0.708752	−	0.409198i	0.101847	−	0.994800i	$-0.467525\pi$
$103$	−7.19304	−	4.15291i	−0.708752	−	0.409198i	−0.810599	+	0.585602i	$0.800858\pi$
$104$	4.62714	−	3.88263i	0.453728	−	0.380723i
$105$	−3.40807	−	3.13404i	−0.332593	−	0.305851i
$106$	1.65022	+	0.144376i	0.160284	+	0.0140230i
$107$	−18.4901	+	8.62208i	−1.78751	+	0.833528i	−0.823654	+	0.567093i	$0.808068\pi$
$107$	−18.4901	+	8.62208i	−1.78751	+	0.833528i	−0.963853	+	0.266435i	$0.914154\pi$
$108$	−3.13869	+	4.48251i	−0.302020	+	0.431330i
$109$	10.7121	−	7.50068i	1.02603	−	0.718435i	0.0658549	−	0.997829i	$-0.479023\pi$
$109$	10.7121	−	7.50068i	1.02603	−	0.718435i	0.960176	+	0.279394i	$0.0901337\pi$
$110$	6.48888	+	5.96714i	0.618691	+	0.568945i
$111$	5.05897	−	8.44240i	0.480176	−	0.801317i
$112$	0.904889	−	0.904889i	0.0855040	−	0.0855040i
$113$	−16.3826	−	2.88869i	−1.54114	−	0.271745i	−0.662440	−	0.749115i	$-0.730479\pi$
$113$	−16.3826	−	2.88869i	−1.54114	−	0.271745i	−0.878703	+	0.477370i	$0.841590\pi$
$114$	−0.574356	−	3.25733i	−0.0537933	−	0.305077i
$115$	−10.3772	+	5.37869i	−0.967679	+	0.501565i
$116$	0.0351127	−	0.401340i	0.00326013	−	0.0372635i
$117$		−	2.30718i		−	0.213298i
$118$	3.61565	+	0.316329i	0.332848	+	0.0291204i
$119$	5.92045	−	1.58638i	0.542727	−	0.145423i
$120$	−1.37864	−	3.34508i	−0.125852	−	0.305362i
$121$	2.27124	+	3.93391i	0.206477	+	0.357628i
$122$	−7.72838	+	2.07081i	−0.699695	+	0.187483i
$123$	−12.4950	+	8.74909i	−1.12664	+	0.788879i
$124$	2.24997	+	4.82508i	0.202053	+	0.433305i
$125$	−1.51821	+	11.0768i	−0.135793	+	0.990737i
$126$	−0.0426018	−	0.486941i	−0.00379527	−	0.0433802i
$127$	−3.33709	+	0.291957i	−0.296119	+	0.0259070i	−0.234247	−	0.972177i	$-0.575262\pi$
$127$	−3.33709	+	0.291957i	−0.296119	+	0.0259070i	−0.0618716	+	0.998084i	$0.519707\pi$
$128$	0.939693	−	0.342020i	0.0830579	−	0.0302306i
$129$	3.69019	+	2.58390i	0.324903	+	0.227500i
$130$	11.3784	+	7.27722i	0.997953	+	0.638254i
$131$	−0.185168	−	0.0863453i	−0.0161782	−	0.00754403i	0.414512	−	0.910044i	$-0.363952\pi$
$131$	−0.185168	−	0.0863453i	−0.0161782	−	0.00754403i	−0.430691	+	0.902500i	$0.641730\pi$
$132$	−0.555961	−	6.35466i	−0.0483902	−	0.553102i
$133$	2.00395	+	1.68151i	0.173765	+	0.145806i
$134$	−0.643197	+	2.40044i	−0.0555638	+	0.207367i
$135$	−11.6632	−	3.70012i	−1.00381	−	0.318456i
$136$	4.71685	+	0.831708i	0.404467	+	0.0713184i
$137$	−0.682025	−	2.54535i	−0.0582693	−	0.217464i	0.930652	−	0.365906i	$-0.119241\pi$
$137$	−0.682025	−	2.54535i	−0.0582693	−	0.217464i	−0.988921	+	0.148442i	$0.952574\pi$
$138$	8.16955	+	2.18903i	0.695439	+	0.186342i
$139$	−3.57216	+	1.30016i	−0.302987	+	0.110278i	−0.489040	−	0.872262i	$-0.662653\pi$
$139$	−3.57216	+	1.30016i	−0.302987	+	0.110278i	0.186053	+	0.982540i	$0.440430\pi$
$140$	2.53585	+	1.32579i	0.214318	+	0.112050i
$141$	−11.6339	−	13.8647i	−0.979749	−	1.16762i
$142$	−13.2413			−1.11119
$143$	15.3069	+	18.2420i	1.28002	+	1.52547i
$144$	0.130639	−	0.358928i	0.0108866	−	0.0299107i
$145$	0.879842	−	0.193422i	0.0730669	−	0.0160628i
$146$	−6.77222	−	9.67173i	−0.560473	−	0.800438i
$147$	6.13519	+	6.13519i	0.506022	+	0.506022i
$148$	−1.66964	+	5.84913i	−0.137244	+	0.480795i
$149$			10.3540i			0.848235i	0.905607	+	0.424118i	$0.139416\pi$
$149$			10.3540i			0.848235i	−0.905607	+	0.424118i	$0.860584\pi$
$150$	6.21582	−	5.17828i	0.507519	−	0.422805i
$151$	5.38880	−	0.950191i	0.438534	−	0.0773254i	0.0499778	−	0.998750i	$-0.484085\pi$
$151$	5.38880	−	0.950191i	0.438534	−	0.0773254i	0.388556	+	0.921425i	$0.372974\pi$
$152$	0.863915	+	1.85267i	0.0700728	+	0.150272i
$153$	1.40145	−	1.17595i	0.113300	−	0.0950702i
$154$	3.56743	+	3.56743i	0.287472	+	0.287472i
$155$	−8.79121	+	8.02706i	−0.706127	+	0.644749i
$156$	−2.52955	−	9.44040i	−0.202526	−	0.755837i
$157$	4.84849	−	10.3976i	0.386952	−	0.829820i	−0.612281	−	0.790641i	$-0.709748\pi$
$157$	4.84849	−	10.3976i	0.386952	−	0.829820i	0.999232	−	0.0391798i	$-0.0124745\pi$
$158$	1.94411	−	7.25551i	0.154665	−	0.577217i
$159$	1.34016	−	2.32122i	0.106281	−	0.184085i
$160$	1.35809	+	1.77640i	0.107366	+	0.140437i
$161$	−6.06251	+	2.82700i	−0.477793	+	0.222799i
$162$	3.85411	+	6.67551i	0.302807	+	0.524477i
$163$	4.23916	−	5.05203i	0.332036	−	0.395706i	−0.574035	−	0.818831i	$-0.694623\pi$
$163$	4.23916	−	5.05203i	0.332036	−	0.395706i	0.906071	+	0.423125i	$0.139067\pi$
$164$	6.05970	−	7.22167i	0.473183	−	0.563918i
$165$	13.1876	−	5.43514i	1.02665	−	0.423125i
$166$	0.645741	−	0.922214i	0.0501192	−	0.0715777i
$167$	9.37810	−	1.65361i	0.725699	−	0.127960i	0.201418	−	0.979505i	$-0.435445\pi$
$167$	9.37810	−	1.65361i	0.725699	−	0.127960i	0.524281	+	0.851545i	$0.324334\pi$
$168$	−0.708190	−	1.94574i	−0.0546381	−	0.150117i
$169$	17.9907	+	15.0960i	1.38390	+	1.16123i
$170$	1.37911	+	10.6207i	0.105773	+	0.814574i
$171$	0.754203	+	0.202088i	0.0576754	+	0.0154541i
$172$	−2.61627	−	0.952244i	−0.199489	−	0.0726079i
$173$	0.701650	+	1.00206i	0.0533455	+	0.0761852i	0.844939	−	0.534863i	$-0.179637\pi$
$173$	0.701650	+	1.00206i	0.0533455	+	0.0761852i	−0.791593	+	0.611049i	$0.790748\pi$
$174$	−0.564529	−	0.325931i	−0.0427969	−	0.0247088i
$175$	−1.13341	+	6.29735i	−0.0856776	+	0.476035i
$176$	1.34838	+	3.70464i	0.101638	+	0.279248i
$177$	2.93630	−	5.08582i	0.220706	−	0.382274i
$178$	0.631704	−	7.22041i	0.0473482	−	0.541193i
$179$	−18.1863	+	18.1863i	−1.35931	+	1.35931i	−0.484531	+	0.874774i	$0.661010\pi$
$179$	−18.1863	+	18.1863i	−1.35931	+	1.35931i	−0.874774	+	0.484531i	$0.838990\pi$
$180$	0.853216	+	0.0387665i	0.0635950	+	0.00288948i
$181$	9.85348	+	3.58637i	0.732403	+	0.266573i	0.681182	−	0.732114i	$-0.261466\pi$
$181$	9.85348	+	3.58637i	0.732403	+	0.266573i	0.0512214	+	0.998687i	$0.483689\pi$
$182$	6.33189	+	4.43364i	0.469351	+	0.328643i
$183$	−2.24803	+	12.7492i	−0.166179	+	0.942450i
$184$	−5.22717			−0.385352
$185$	−13.5970	+	0.348229i	−0.999672	+	0.0256023i
$186$	8.61424			0.631626
$187$	−3.27892	+	18.5957i	−0.239779	+	1.35985i
$188$	9.16291	+	6.41594i	0.668274	+	0.467931i
$189$	−6.58041	−	2.39507i	−0.478654	−	0.174216i
$190$	−3.37553	+	3.08212i	−0.244887	+	0.223601i
$191$	18.1718	−	18.1718i	1.31487	−	1.31487i	0.397088	−	0.917781i	$-0.370021\pi$
$191$	18.1718	−	18.1718i	1.31487	−	1.31487i	0.917781	−	0.397088i	$-0.129979\pi$
$192$	0.141021	−	1.61188i	0.0101773	−	0.116327i
$193$	12.1273	−	21.0051i	0.872940	−	1.51198i	0.0139996	−	0.999902i	$-0.495544\pi$
$193$	12.1273	−	21.0051i	0.872940	−	1.51198i	0.858941	−	0.512075i	$-0.171123\pi$
$194$	3.93178	+	10.8025i	0.282285	+	0.775572i
$195$	18.4523	−	11.7095i	1.32139	−	0.838534i
$196$	−4.64393	−	2.68118i	−0.331709	−	0.191513i
$197$	8.38502	+	11.9750i	0.597408	+	0.853187i	0.998009	−	0.0630654i	$-0.0200877\pi$
$197$	8.38502	+	11.9750i	0.597408	+	0.853187i	−0.400601	+	0.916252i	$0.631199\pi$
$198$	1.41504	+	0.515032i	0.100562	+	0.0366017i
$199$	−13.2005	−	3.53705i	−0.935756	−	0.250735i	−0.241448	−	0.970414i	$-0.577622\pi$
$199$	−13.2005	−	3.53705i	−0.935756	−	0.250735i	−0.694307	+	0.719679i	$0.744289\pi$
$200$	−2.88237	+	4.08558i	−0.203815	+	0.288894i
$201$	3.08028	+	2.58466i	0.217266	+	0.182308i
$202$	−3.16283	−	8.68982i	−0.222536	−	0.611413i
$203$	0.507727	−	0.0895259i	0.0356354	−	0.00628349i
$204$	4.44508	−	6.34824i	0.311218	−	0.444465i
$205$	19.4610	+	8.10141i	1.35921	+	0.565827i
$206$	5.33887	−	6.36262i	0.371977	−	0.443305i
$207$	−1.28338	+	1.52948i	−0.0892013	+	0.106306i
$208$	3.02015	+	5.23106i	0.209410	+	0.362708i
$209$	−7.30396	+	3.40589i	−0.505226	+	0.235591i
$210$	3.67823	−	2.81207i	0.253822	−	0.194051i
$211$	−2.87010	+	4.97116i	−0.197586	+	0.342229i	−0.947745	−	0.319028i	$-0.896643\pi$
$211$	−2.87010	+	4.97116i	−0.197586	+	0.342229i	0.750159	+	0.661257i	$0.229977\pi$
$212$	−0.428740	+	1.60008i	−0.0294460	+	0.109894i
$213$	−9.05455	+	19.4175i	−0.620407	+	1.33047i
$214$	−5.28032	−	19.7064i	−0.360955	−	1.34710i
$215$	0.282573	−	6.21919i	0.0192713	−	0.424145i
$216$	−3.86938	−	3.86938i	−0.263278	−	0.263278i
$217$	−5.21907	+	4.37932i	−0.354294	+	0.297288i
$218$	5.52659	+	11.8518i	0.374308	+	0.802707i
$219$	−18.8139	+	3.31740i	−1.27133	+	0.224169i
$220$	−7.00327	+	5.35412i	−0.472161	+	0.360975i
$221$			28.9307i			1.94609i
$222$	7.43566	+	6.44812i	0.499049	+	0.432770i
$223$	2.58267	+	2.58267i	0.172948	+	0.172948i	0.788273	−	0.615325i	$-0.210975\pi$
$223$	2.58267	+	2.58267i	0.172948	+	0.172948i	−0.615325	+	0.788273i	$0.710975\pi$
$224$	0.734009	+	1.04827i	0.0490431	+	0.0700408i
$225$	0.487759	+	1.84648i	0.0325173	+	0.123099i
$226$	5.68961	−	15.6321i	0.378467	−	1.03983i
$227$	1.31623	+	1.56862i	0.0873613	+	0.104113i	0.807954	−	0.589245i	$-0.200575\pi$
$227$	1.31623	+	1.56862i	0.0873613	+	0.104113i	−0.720593	+	0.693358i	$0.756130\pi$
$228$	3.30758			0.219050
$229$	7.29459	+	8.69336i	0.482040	+	0.574473i	0.951174	−	0.308654i	$-0.0998784\pi$
$229$	7.29459	+	8.69336i	0.482040	+	0.574473i	−0.469134	+	0.883127i	$0.655434\pi$
$230$	−3.49499	−	11.1535i	−0.230453	−	0.735443i
$231$	7.67086	−	2.79197i	0.504706	−	0.183698i
$232$	0.389145	+	0.104271i	0.0255486	+	0.00684574i
$233$	−4.06029	−	15.1532i	−0.265998	−	0.992720i	−0.961636	−	0.274327i	$-0.911545\pi$
$233$	−4.06029	−	15.1532i	−0.265998	−	0.992720i	0.695638	−	0.718393i	$-0.255122\pi$
$234$	2.27212	+	0.400637i	0.148533	+	0.0261904i
$235$	−7.56359	+	23.8413i	−0.493394	+	1.55524i
$236$	−0.939375	+	3.50579i	−0.0611481	+	0.228208i
$237$	−9.31035	−	7.81231i	−0.604772	−	0.507464i
$238$	0.534204	+	6.10598i	0.0346273	+	0.395792i
$239$	5.61905	+	2.62021i	0.363466	+	0.169487i	0.595768	−	0.803157i	$-0.296848\pi$
$239$	5.61905	+	2.62021i	0.363466	+	0.169487i	−0.232302	+	0.972644i	$0.574626\pi$
$240$	3.53366	−	0.776829i	0.228096	−	0.0501441i
$241$	1.03121	+	0.722062i	0.0664262	+	0.0465121i	0.606318	−	0.795222i	$-0.292646\pi$
$241$	1.03121	+	0.722062i	0.0664262	+	0.0465121i	−0.539892	+	0.841734i	$0.681535\pi$
$242$	−4.26854	+	1.55362i	−0.274392	+	0.0998706i
$243$	−3.92924	+	0.343764i	−0.252061	+	0.0220525i
$244$	−0.697334	−	7.97056i	−0.0446422	−	0.510263i
$245$	2.61597	−	11.7017i	0.167128	−	0.747597i
$246$	−6.44644	−	13.8244i	−0.411010	−	0.881413i
$247$	−10.1145	+	7.08227i	−0.643572	+	0.450634i
$248$	−5.14248	+	1.37792i	−0.326548	+	0.0874982i
$249$	−0.910804	−	1.57756i	−0.0577199	−	0.0999737i
$250$	−10.6449	−	3.41860i	−0.673240	−	0.216212i
$251$	2.93560	−	0.786590i	0.185293	−	0.0496491i	−0.164979	−	0.986297i	$-0.552756\pi$
$251$	2.93560	−	0.786590i	0.185293	−	0.0496491i	0.350272	+	0.936648i	$0.386089\pi$
$252$	0.486941	+	0.0426018i	0.0306744	+	0.00268366i
$253$		−	20.6076i		−	1.29559i
$254$	0.291957	−	3.33709i	0.0183190	−	0.209388i
$255$	16.5177	+	5.24020i	1.03438	+	0.328154i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	23.7079	+	4.18035i	1.47886	+	0.260763i	0.854122	−	0.520072i	$-0.174095\pi$
$257$	23.7079	+	4.18035i	1.47886	+	0.260763i	0.624737	+	0.780835i	$0.285206\pi$
$258$	−3.18544	+	3.18544i	−0.198317	+	0.198317i
$259$	−7.78312	−	0.126541i	−0.483620	−	0.00786285i
$260$	−9.14250	+	9.94188i	−0.566994	+	0.616569i
$261$	0.126053	−	0.0882635i	0.00780251	−	0.00546338i
$262$	0.117188	−	0.167361i	0.00723988	−	0.0103396i
$263$	−15.7982	+	7.36682i	−0.974158	+	0.454258i	−0.843476	−	0.537167i	$-0.819495\pi$
$263$	−15.7982	+	7.36682i	−0.974158	+	0.454258i	−0.130682	+	0.991424i	$0.541717\pi$
$264$	6.35466	+	0.555961i	0.391102	+	0.0342170i
$265$	−3.70086	+	0.155016i	−0.227342	+	0.00952256i
$266$	−2.00395	+	1.68151i	−0.122870	+	0.103100i
$267$	−10.1563	−	5.86375i	−0.621557	−	0.358856i
$268$	−2.25229	−	1.05026i	−0.137580	−	0.0641547i
$269$	3.77255	−	2.17808i	0.230016	−	0.132800i	−0.380563	−	0.924755i	$-0.624270\pi$
$269$	3.77255	−	2.17808i	0.230016	−	0.132800i	0.610580	+	0.791955i	$0.290937\pi$
$270$	5.66920	−	10.8435i	0.345017	−	0.659914i
$271$	−1.69273	+	9.59993i	−0.102826	+	0.583154i	0.889241	+	0.457440i	$0.151233\pi$
$271$	−1.69273	+	9.59993i	−0.102826	+	0.583154i	−0.992066	+	0.125714i	$0.959878\pi$
$272$	−1.63815	+	4.50077i	−0.0993271	+	0.272899i
$273$	10.8315	−	6.25355i	0.655551	−	0.378482i
$274$	2.62511	−	0.229668i	0.158589	−	0.0138747i
$275$	−16.1070	−	11.3635i	−0.971286	−	0.685242i
$276$	−3.57440	+	7.66532i	−0.215153	+	0.461398i
$277$	−3.38076	−	19.1733i	−0.203130	−	1.15201i	−0.900355	−	0.435156i	$-0.856693\pi$
$277$	−3.38076	−	19.1733i	−0.203130	−	1.15201i	0.697225	−	0.716853i	$-0.254418\pi$
$278$	−0.660109	−	3.74366i	−0.0395907	−	0.224530i
$279$	−0.859407	+	1.84301i	−0.0514514	+	0.110338i
$280$	−1.74600	+	2.26710i	−0.104343	+	0.135485i
$281$	−28.8790	+	2.52659i	−1.72278	+	0.150723i	−0.905169	−	0.425052i	$-0.860256\pi$
$281$	−28.8790	+	2.52659i	−1.72278	+	0.150723i	−0.817608	+	0.575775i	$0.804700\pi$
$282$	15.6743	−	9.04955i	0.933390	−	0.538893i
$283$	7.97505	−	21.9113i	0.474067	−	1.30249i	−0.440390	−	0.897807i	$-0.645160\pi$
$283$	7.97505	−	21.9113i	0.474067	−	1.30249i	0.914457	−	0.404683i	$-0.132618\pi$
$284$	2.29933	−	13.0401i	0.136440	−	0.773790i
$285$	2.21152	+	7.05760i	0.130999	+	0.418056i
$286$	−20.6229	+	11.9066i	−1.21946	+	0.704054i
$287$	10.9338	+	5.09850i	0.645400	+	0.300955i
$288$	0.330790	+	0.190982i	0.0194920	+	0.0112537i
$289$	−4.55063	+	3.81843i	−0.267684	+	0.224613i
$290$	0.0377004	+	0.900062i	0.00221385	+	0.0528535i
$291$	18.5297	+	1.62114i	1.08623	+	0.0950330i
$292$	10.7008	−	4.98985i	0.626216	−	0.292009i
$293$	14.8489	−	21.2065i	0.867483	−	1.23889i	−0.102258	−	0.994758i	$-0.532607\pi$
$293$	14.8489	−	21.2065i	0.867483	−	1.23889i	0.969741	−	0.244136i	$-0.0785044\pi$
$294$	−7.10735	+	4.97662i	−0.414509	+	0.290242i
$295$	−8.10862	+	0.339642i	−0.472102	+	0.0197747i
$296$	−5.47034	−	2.65996i	−0.317957	−	0.154607i
$297$	15.2546	−	15.2546i	0.885164	−	0.885164i
$298$	−10.1967	−	1.79796i	−0.590681	−	0.104153i
$299$	−5.48271	−	31.0940i	−0.317074	−	1.79821i
$300$	4.02024	+	7.02058i	0.232109	+	0.405333i
$301$	0.310529	−	3.54937i	0.0178986	−	0.204582i
$302$			5.47193i			0.314874i
$303$	−14.9059	−	1.30409i	−0.856319	−	0.0749182i
$304$	−1.97454	+	0.529077i	−0.113248	+	0.0303447i
$305$	16.5410	−	6.81723i	0.947137	−	0.390353i
$306$	0.914729	+	1.58436i	0.0522916	+	0.0905717i
$307$	−16.6422	+	4.45927i	−0.949822	+	0.254504i	−0.700287	−	0.713862i	$-0.746944\pi$
$307$	−16.6422	+	4.45927i	−0.949822	+	0.254504i	−0.249535	+	0.968366i	$0.580278\pi$
$308$	−4.13271	+	2.89376i	−0.235483	+	0.164887i
$309$	−5.67961	−	12.1800i	−0.323101	−	0.692893i
$310$	−6.37853	−	10.0515i	−0.362276	−	0.570889i
$311$	−0.515417	−	5.89125i	−0.0292266	−	0.334062i	−0.996705	−	0.0811091i	$-0.974154\pi$
$311$	−0.515417	−	5.89125i	−0.0292266	−	0.334062i	0.967479	−	0.252953i	$-0.0814018\pi$
$312$	9.73623	−	0.851810i	0.551205	−	0.0482242i
$313$	19.2310	−	6.99950i	1.08700	−	0.395635i	0.264490	−	0.964388i	$-0.414796\pi$
$313$	19.2310	−	6.99950i	1.08700	−	0.395635i	0.822508	+	0.568753i	$0.192574\pi$
$314$	9.39772	+	6.58036i	0.530344	+	0.371351i
$315$	0.234677	+	1.06750i	0.0132225	+	0.0601469i
$316$	6.80769	+	3.17448i	0.382963	+	0.178578i
$317$	−1.34000	−	15.3163i	−0.0752621	−	0.860250i	−0.936183	−	0.351512i	$-0.885668\pi$
$317$	−1.34000	−	15.3163i	−0.0752621	−	0.860250i	0.860921	−	0.508738i	$-0.169888\pi$
$318$	2.05324	+	1.72287i	0.115140	+	0.0966140i
$319$	−0.411078	+	1.53417i	−0.0230160	+	0.0858968i
$320$	−1.98524	+	1.02899i	−0.110978	+	0.0575221i
$321$	−32.5090	−	5.73221i	−1.81447	−	0.319941i
$322$	−1.73130	−	6.46131i	−0.0964818	−	0.360075i
$323$	−9.45730	−	2.53408i	−0.526218	−	0.141000i
$324$	−7.24335	+	2.63636i	−0.402408	+	0.146465i
$325$	−27.3265	−	12.8606i	−1.51580	−	0.713377i
$326$	4.23916	+	5.05203i	0.234785	+	0.279806i
$327$	21.1591			1.17010
$328$	6.05970	+	7.22167i	0.334591	+	0.398750i
$329$	−4.89588	+	13.4513i	−0.269919	+	0.741596i
$330$	3.06257	+	13.9311i	0.168589	+	0.766880i
$331$	−0.947156	−	1.35268i	−0.0520604	−	0.0743500i	0.792278	−	0.610160i	$-0.208895\pi$
$331$	−0.947156	−	1.35268i	−0.0520604	−	0.0743500i	−0.844338	+	0.535810i	$0.820006\pi$
$332$	0.796071	+	0.796071i	0.0436901	+	0.0436901i
$333$	−2.12139	+	0.947548i	−0.116252	+	0.0519253i
$334$			9.52278i			0.521063i
$335$	0.735078	−	5.50807i	0.0401616	−	0.300938i
$336$	2.03915	−	0.359558i	0.111245	−	0.0196155i
$337$	11.4429	+	24.5394i	0.623336	+	1.33675i	0.923771	+	0.382946i	$0.125090\pi$
$337$	11.4429	+	24.5394i	0.623336	+	1.33675i	−0.300435	+	0.953802i	$0.597132\pi$
$338$	−17.9907	+	15.0960i	−0.978568	+	0.821116i
$339$	−19.0328	−	19.0328i	−1.03372	−	1.03372i
$340$	−10.6989	−	0.486110i	−0.580228	−	0.0263630i
$341$	−5.43232	−	20.2737i	−0.294177	−	1.09788i
$342$	−0.329984	+	0.707653i	−0.0178435	+	0.0382655i
$343$	4.09456	−	15.2811i	0.221086	−	0.825103i
$344$	1.39209	−	2.41117i	0.0750563	−	0.130001i
$345$	−18.7459	−	2.50173i	−1.00925	−	0.134689i
$346$	−1.10868	+	0.516984i	−0.0596028	+	0.0277933i
$347$	11.5247	+	19.9613i	0.618676	+	1.07158i	0.989728	+	0.142966i	$0.0456641\pi$
$347$	11.5247	+	19.9613i	0.618676	+	1.07158i	−0.371051	+	0.928612i	$0.621003\pi$
$348$	0.419009	−	0.499356i	0.0224612	−	0.0267683i
$349$	−15.9676	+	19.0294i	−0.854724	+	1.01862i	0.144850	+	0.989454i	$0.453730\pi$
$349$	−15.9676	+	19.0294i	−0.854724	+	1.01862i	−0.999575	+	0.0291673i	$0.990714\pi$
$350$	−6.00486	−	2.20971i	−0.320973	−	0.118114i
$351$	18.9586	−	27.0757i	1.01194	−	1.44519i
$352$	−3.88250	+	0.684590i	−0.206938	+	0.0364888i
$353$	7.44346	+	20.4507i	0.396175	+	1.08848i	0.964132	+	0.265424i	$0.0855120\pi$
$353$	7.44346	+	20.4507i	0.396175	+	1.08848i	−0.567956	+	0.823059i	$0.692266\pi$
$354$	4.49867	+	3.77484i	0.239102	+	0.200630i
$355$	29.3619	−	3.81268i	1.55837	−	0.202356i
$356$	7.00103	+	1.87592i	0.371054	+	0.0994235i
$357$	9.31933	+	3.39196i	0.493231	+	0.179521i
$358$	−14.7520	−	21.0680i	−0.779665	−	1.11348i
$359$	14.0362	+	8.10380i	0.740802	+	0.427702i	0.822361	−	0.568966i	$-0.192656\pi$
$359$	14.0362	+	8.10380i	0.740802	+	0.427702i	−0.0815586	+	0.996669i	$0.525990\pi$
$360$	−0.186337	+	0.833522i	−0.00982082	+	0.0439305i
$361$	5.06917	+	13.9274i	0.266798	+	0.733023i
$362$	−5.24293	+	9.08101i	−0.275562	+	0.477287i
$363$	−0.640586	+	7.32193i	−0.0336220	+	0.384302i
$364$	−5.46580	+	5.46580i	−0.286486	+	0.286486i
$365$	17.8019	+	19.4966i	0.931795	+	1.02050i
$366$	−12.1652	−	4.42776i	−0.635884	−	0.231443i
$367$	−4.92113	−	3.44581i	−0.256881	−	0.179870i	0.438041	−	0.898955i	$-0.355672\pi$
$367$	−4.92113	−	3.44581i	−0.256881	−	0.179870i	−0.694922	+	0.719085i	$0.744561\pi$
$368$	0.907689	−	5.14776i	0.0473165	−	0.268345i
$369$	3.60085			0.187453
$370$	2.01816	−	13.4509i	0.104919	−	0.699280i
$371$	−2.11987			−0.110058
$372$	−1.49585	+	8.48337i	−0.0775560	+	0.439842i
$373$	10.3400	+	7.24014i	0.535385	+	0.374880i	0.809777	−	0.586737i	$-0.199588\pi$
$373$	10.3400	+	7.24014i	0.535385	+	0.374880i	−0.274393	+	0.961618i	$0.588477\pi$
$374$	−17.7438	−	6.45822i	−0.917510	−	0.333946i
$375$	−12.2922	+	13.2723i	−0.634769	+	0.685381i
$376$	−7.90959	+	7.90959i	−0.407906	+	0.407906i
$377$	−0.212091	+	2.42421i	−0.0109233	+	0.124853i
$378$	3.50136	−	6.06454i	0.180091	−	0.311926i
$379$	−5.14274	−	14.1296i	−0.264165	−	0.725787i	−0.998876	−	0.0474065i	$-0.984904\pi$
$379$	−5.14274	−	14.1296i	−0.264165	−	0.725787i	0.734711	−	0.678380i	$-0.237318\pi$
$380$	−2.44914	−	3.85946i	−0.125638	−	0.197986i
$381$	−4.69399	−	2.71008i	−0.240480	−	0.138841i
$382$	14.7403	+	21.0513i	0.754177	+	1.07708i
$383$	14.8548	+	5.40670i	0.759044	+	0.276269i	0.692406	−	0.721508i	$-0.256551\pi$
$383$	14.8548	+	5.40670i	0.759044	+	0.276269i	0.0666375	+	0.997777i	$0.478773\pi$
$384$	1.56290	+	0.418778i	0.0797565	+	0.0213707i
$385$	−8.93781	−	6.88341i	−0.455513	−	0.350811i
$386$	18.5801	+	15.5905i	0.945700	+	0.793537i
$387$	−0.363722	−	0.999319i	−0.0184891	−	0.0507982i
$388$	−11.3211	+	1.99622i	−0.574742	+	0.101342i
$389$	3.38017	−	4.82738i	0.171381	−	0.244758i	−0.724268	−	0.689518i	$-0.757822\pi$
$389$	3.38017	−	4.82738i	0.171381	−	0.244758i	0.895650	+	0.444761i	$0.146711\pi$
$390$	8.32740	+	20.2053i	0.421674	+	1.02313i
$391$	16.0929	−	19.1788i	0.813854	−	0.969913i
$392$	3.44685	−	4.10780i	0.174092	−	0.207475i
$393$	−0.165291	−	0.286292i	−0.00833781	−	0.0144415i
$394$	−13.2492	+	6.17819i	−0.667483	+	0.311253i
$395$	−2.22183	+	16.6485i	−0.111792	+	0.837678i
$396$	−0.752926	+	1.30411i	−0.0378359	+	0.0655338i
$397$	−1.93939	+	7.23788i	−0.0973350	+	0.363259i	−0.997363	−	0.0725727i	$-0.976879\pi$
$397$	−1.93939	+	7.23788i	−0.0973350	+	0.363259i	0.900028	+	0.435832i	$0.143546\pi$
$398$	5.77555	−	12.3857i	0.289502	−	0.620840i
$399$	1.09551	+	4.08851i	0.0548442	+	0.204681i
$400$	−3.52299	−	3.54804i	−0.176149	−	0.177402i
$401$	6.01370	+	6.01370i	0.300310	+	0.300310i	0.841135	−	0.540825i	$-0.181888\pi$
$401$	6.01370	+	6.01370i	0.300310	+	0.300310i	−0.540825	+	0.841135i	$0.681888\pi$
$402$	−3.08028	+	2.58466i	−0.153630	+	0.128911i
$403$	−13.5905	−	29.1449i	−0.676992	−	1.45181i
$404$	9.10702	−	1.60581i	0.453091	−	0.0798922i
$405$	−10.4684	−	13.6929i	−0.520180	−	0.680404i
$406$			0.515559i			0.0255868i
$407$	10.4866	−	21.5662i	0.519803	−	1.06900i
$408$	5.47991	+	5.47991i	0.271296	+	0.271296i
$409$	1.86132	+	2.65824i	0.0920364	+	0.131442i	0.862530	−	0.506007i	$-0.168879\pi$
$409$	1.86132	+	2.65824i	0.0920364	+	0.131442i	−0.770493	+	0.637448i	$0.779990\pi$
$410$	−11.3577	+	17.7585i	−0.560917	+	0.877031i
$411$	1.45829	−	4.00662i	0.0719321	−	0.197632i
$412$	5.33887	+	6.36262i	0.263027	+	0.313464i
$413$	−4.64465			−0.228548
$414$	−1.28338	−	1.52948i	−0.0630748	−	0.0751696i
$415$	−1.16636	+	2.23090i	−0.0572543	+	0.109510i
$416$	−5.67603	+	2.06591i	−0.278290	+	0.101289i
$417$	−5.94124	−	1.59195i	−0.290944	−	0.0779581i
$418$	−2.08583	−	7.78443i	−0.102021	−	0.380749i
$419$	−33.7571	−	5.95229i	−1.64914	−	0.290788i	−0.729629	−	0.683844i	$-0.760307\pi$
$419$	−33.7571	−	5.95229i	−1.64914	−	0.290788i	−0.919515	+	0.393055i	$0.871418\pi$
$420$	2.13063	+	4.11066i	0.103964	+	0.200580i
$421$	−5.37692	+	20.0669i	−0.262055	+	0.978003i	0.701973	+	0.712203i	$0.252303\pi$
$421$	−5.37692	+	20.0669i	−0.262055	+	0.978003i	−0.964028	+	0.265800i	$0.914364\pi$
$422$	−4.39725	−	3.68973i	−0.214055	−	0.179613i
$423$	0.372381	+	4.25633i	0.0181058	+	0.206950i
$424$	−1.50132	−	0.700078i	−0.0729107	−	0.0339988i
$425$	−6.11624	−	23.1539i	−0.296681	−	1.12313i
$426$	−17.5502	−	12.2888i	−0.850312	−	0.595395i
$427$	9.62146	−	3.50192i	0.465615	−	0.169470i
$428$	20.3239	−	1.77811i	0.982395	−	0.0859484i
$429$	3.35817	+	38.3841i	0.162134	+	1.85320i
$430$	6.07564	+	1.35823i	0.292993	+	0.0654997i
$431$	−4.62563	−	9.91969i	−0.222809	−	0.477815i	0.762848	−	0.646578i	$-0.223800\pi$
$431$	−4.62563	−	9.91969i	−0.222809	−	0.477815i	−0.985657	+	0.168763i	$0.946023\pi$
$432$	4.48251	−	3.13869i	0.215665	−	0.151010i
$433$	−20.1902	+	5.40994i	−0.970278	+	0.259985i	−0.708945	−	0.705263i	$-0.750829\pi$
$433$	−20.1902	+	5.40994i	−0.970278	+	0.259985i	−0.261333	+	0.965249i	$0.584162\pi$
$434$	−3.40651	−	5.90024i	−0.163518	−	0.283221i
$435$	1.34566	+	0.560187i	0.0645197	+	0.0268589i
$436$	−12.6314	+	3.38459i	−0.604937	+	0.162092i
$437$	10.6447	+	0.931291i	0.509205	+	0.0445497i
$438$		−	19.1041i		−	0.912831i
$439$	0.502610	−	5.74486i	0.0239883	−	0.274187i	−0.974722	−	0.223420i	$-0.928278\pi$
$439$	0.502610	−	5.74486i	0.0239883	−	0.274187i	0.998711	−	0.0507672i	$-0.0161666\pi$
$440$	−4.05667	−	7.82661i	−0.193394	−	0.373119i
$441$	−0.355670	−	2.01711i	−0.0169367	−	0.0960527i
$442$	−28.4912	−	5.02377i	−1.35519	−	0.238956i
$443$	20.1403	−	20.1403i	0.956894	−	0.956894i	−0.0422149	−	0.999109i	$-0.513441\pi$
$443$	20.1403	−	20.1403i	0.956894	−	0.956894i	0.999109	+	0.0422149i	$0.0134414\pi$
$444$	−7.64135	+	6.20299i	−0.362642	+	0.294381i
$445$	0.678260	+	16.1928i	0.0321526	+	0.767613i
$446$	−2.99191	+	2.09496i	−0.141671	+	0.0991990i
$447$	−9.60923	+	13.7234i	−0.454501	+	0.649095i
$448$	−1.15981	+	0.540827i	−0.0547958	+	0.0255517i
$449$	4.41426	+	0.386198i	0.208322	+	0.0182258i	0.190839	−	0.981621i	$-0.438879\pi$
$449$	4.41426	+	0.386198i	0.208322	+	0.0182258i	0.0174830	+	0.999847i	$0.494435\pi$
$450$	−1.90313	+	0.159711i	−0.0897143	+	0.00752884i
$451$	−28.4707	+	23.8897i	−1.34063	+	1.12492i
$452$	14.4066	+	8.31765i	0.677629	+	0.391229i
$453$	8.02424	+	3.74177i	0.377012	+	0.175804i
$454$	−1.77335	+	1.02385i	−0.0832276	+	0.0480515i
$455$	−15.3173	−	8.00818i	−0.718085	−	0.375430i
$456$	−0.574356	+	3.25733i	−0.0268967	+	0.152539i
$457$	−1.76514	+	4.84967i	−0.0825696	+	0.226858i	−0.974106	−	0.226090i	$-0.927406\pi$
$457$	−1.76514	+	4.84967i	−0.0825696	+	0.226858i	0.891537	+	0.452948i	$0.149628\pi$
$458$	−9.82798	+	5.67419i	−0.459231	+	0.265137i
$459$	26.1097	−	2.28430i	1.21870	−	0.106622i
$460$	11.5910	−	1.50510i	0.540433	−	0.0701758i
$461$	0.926201	−	1.98624i	0.0431375	−	0.0925086i	−0.883558	−	0.468322i	$-0.844859\pi$
$461$	0.926201	−	1.98624i	0.0431375	−	0.0925086i	0.926695	+	0.375813i	$0.122637\pi$
$462$	1.41752	+	8.03915i	0.0659489	+	0.374015i
$463$	−5.98262	−	33.9291i	−0.278036	−	1.57682i	−0.729150	−	0.684354i	$-0.760084\pi$
$463$	−5.98262	−	33.9291i	−0.278036	−	1.57682i	0.451114	−	0.892466i	$-0.351027\pi$
$464$	−0.170261	+	0.365127i	−0.00790419	+	0.0169506i
$465$	−19.1017	+	2.48037i	−0.885818	+	0.115024i
$466$	15.6281	−	1.36728i	0.723956	−	0.0633379i
$467$	10.3157	−	5.95576i	0.477353	−	0.275600i	−0.241960	−	0.970286i	$-0.577790\pi$
$467$	10.3157	−	5.95576i	0.477353	−	0.275600i	0.719313	+	0.694687i	$0.244457\pi$
$468$	−0.789100	+	2.16804i	−0.0364762	+	0.100217i
$469$	0.552241	−	3.13191i	0.0255001	−	0.144618i
$470$	−22.1657	−	11.5887i	−1.02243	−	0.534546i
$471$	16.0760	−	9.28145i	0.740741	−	0.427667i
$472$	−3.28941	−	1.53388i	−0.151408	−	0.0706025i
$473$	9.50577	+	5.48816i	0.437076	+	0.252346i
$474$	9.31035	−	7.81231i	0.427638	−	0.358831i
$475$	6.59762	−	7.80641i	0.302719	−	0.358182i
$476$	−6.10598	−	0.534204i	−0.279867	−	0.0244852i
$477$	−0.573450	+	0.267404i	−0.0262565	+	0.0122436i
$478$	−3.55614	+	5.07869i	−0.162654	+	0.232294i
$479$	22.2971	−	15.6126i	1.01878	−	0.713359i	0.0602036	−	0.998186i	$-0.480825\pi$
$479$	22.2971	−	15.6126i	1.01878	−	0.713359i	0.958579	+	0.284827i	$0.0919361\pi$
$480$	0.151414	+	3.61487i	0.00691107	+	0.164995i
$481$	10.0851	−	35.3305i	0.459842	−	1.61093i
$482$	−0.890160	+	0.890160i	−0.0405457	+	0.0405457i
$483$	−10.6590	−	1.87947i	−0.485001	−	0.0855188i
$484$	−0.788794	−	4.47348i	−0.0358543	−	0.203340i
$485$	−11.8290	−	22.8218i	−0.537126	−	1.03629i
$486$	0.343764	−	3.92924i	0.0155934	−	0.178234i
$487$			41.2250i			1.86808i	0.357167	+	0.934041i	$0.383743\pi$
$487$			41.2250i			1.86808i	−0.357167	+	0.934041i	$0.616257\pi$
$488$	7.97056	+	0.697334i	0.360810	+	0.0315668i
$489$	10.3073	−	2.76182i	0.466111	−	0.124894i
$490$	11.0697	+	4.60821i	0.500078	+	0.208178i
$491$	−12.9694	−	22.4637i	−0.585301	−	1.01377i	−0.994838	−	0.101477i	$-0.967643\pi$
$491$	−12.9694	−	22.4637i	−0.585301	−	1.01377i	0.409537	−	0.912293i	$-0.365690\pi$
$492$	14.7338	−	3.94791i	0.664252	−	0.177986i
$493$	−1.58064	+	1.10678i	−0.0711885	+	0.0498467i
$494$	−5.21831	−	11.1907i	−0.234783	−	0.503493i
$495$	−3.28607	−	0.734614i	−0.147698	−	0.0330184i
$496$	−0.464007	−	5.30363i	−0.0208345	−	0.238140i
$497$	16.8805	−	1.47685i	0.757194	−	0.0662459i
$498$	1.71175	−	0.623027i	0.0767054	−	0.0279185i
$499$	31.9225	+	22.3524i	1.42905	+	1.00063i	0.995014	+	0.0997312i	$0.0317983\pi$
$499$	31.9225	+	22.3524i	1.42905	+	1.00063i	0.434032	+	0.900898i	$0.357091\pi$
$500$	5.21513	−	9.88951i	0.233228	−	0.442272i
$501$	13.9646	+	6.51178i	0.623890	+	0.290925i
$502$	0.264880	+	3.02759i	0.0118222	+	0.135128i
$503$	29.5561	+	24.8005i	1.31784	+	1.10580i	0.986758	+	0.162200i	$0.0518591\pi$
$503$	29.5561	+	24.8005i	1.31784	+	1.10580i	0.331085	+	0.943601i	$0.392585\pi$
$504$	−0.126511	+	0.472146i	−0.00563525	+	0.0210310i
$505$	9.51556	+	18.3585i	0.423437	+	0.816945i
$506$	20.2945	+	3.57847i	0.902201	+	0.159082i
$507$	9.83511	+	36.7051i	0.436793	+	1.63013i
$508$	3.23569	+	0.867001i	0.143561	+	0.0384670i
$509$	−21.5189	+	7.83224i	−0.953809	+	0.347158i	−0.771605	−	0.636103i	$-0.780546\pi$
$509$	−21.5189	+	7.83224i	−0.953809	+	0.347158i	−0.182205	+	0.983261i	$0.558323\pi$
$510$	−8.02886	+	15.3568i	−0.355524	+	0.680011i
$511$	9.71220	+	11.5745i	0.429642	+	0.512028i
$512$	−1.00000			−0.0441942
$513$	7.19030	+	8.56907i	0.317459	+	0.378333i
$514$	−8.23368	+	22.6218i	−0.363172	+	0.997807i
$515$	−10.0067	+	15.6461i	−0.440946	+	0.689448i
$516$	−2.58390	−	3.69019i	−0.113750	−	0.162452i
$517$	−31.1827	−	31.1827i	−1.37142	−	1.37142i
$518$	1.47614	−	7.64290i	0.0648580	−	0.335810i
$519$			1.97932i			0.0868827i
$520$	−8.20326	−	10.7300i	−0.359737	−	0.470541i
$521$	17.4057	−	3.06910i	0.762560	−	0.134460i	0.221174	−	0.975234i	$-0.429011\pi$
$521$	17.4057	−	3.06910i	0.762560	−	0.134460i	0.541385	+	0.840775i	$0.317900\pi$
$522$	0.0650337	+	0.139465i	0.00284645	+	0.00610422i
$523$	3.36657	−	2.82489i	0.147210	−	0.123524i	−0.566209	−	0.824262i	$-0.691590\pi$
$523$	3.36657	−	2.82489i	0.147210	−	0.123524i	0.713419	+	0.700738i	$0.247146\pi$
$524$	0.144469	+	0.144469i	0.00631117	+	0.00631117i
$525$	−7.34660	+	7.29473i	−0.320632	+	0.318368i
$526$	−4.51157	−	16.8374i	−0.196714	−	0.734146i
$527$	10.7765	−	23.1103i	0.469432	−	1.00670i
$528$	−1.65099	+	6.16158i	−0.0718501	+	0.268148i
$529$	−2.16166	+	3.74410i	−0.0939852	+	0.162787i
$530$	0.489987	−	3.67155i	0.0212837	−	0.159482i
$531$	−1.25644	+	0.585886i	−0.0545247	+	0.0254253i
$532$	−1.30799	−	2.26550i	−0.0567084	−	0.0982218i
$533$	−36.6024	+	43.6211i	−1.58543	+	1.88944i
$534$	7.53830	−	8.98379i	0.326214	−	0.388767i
$535$	17.3831	+	42.1776i	0.751536	+	1.82350i
$536$	1.42541	−	2.03569i	0.0615682	−	0.0879286i
$537$	−40.9824	+	7.22631i	−1.76852	+	0.311838i
$538$	1.48990	+	4.09345i	0.0642340	+	0.176481i
$539$	16.1946	+	13.5889i	0.697550	+	0.585314i
$540$	9.69431	+	7.46603i	0.417177	+	0.321287i
$541$	−27.9571	−	7.49109i	−1.20197	−	0.322067i	−0.398364	−	0.917227i	$-0.630422\pi$
$541$	−27.9571	−	7.49109i	−1.20197	−	0.322067i	−0.803607	+	0.595160i	$0.797089\pi$
$542$	−9.16014	−	3.33402i	−0.393462	−	0.143208i
$543$	9.73157	+	13.8981i	0.417622	+	0.596425i
$544$	−4.14793	−	2.39481i	−0.177841	−	0.102677i
$545$	−15.6675	−	24.6895i	−0.671124	−	1.05758i
$546$	4.27768	+	11.7528i	0.183068	+	0.502975i
$547$	11.6040	−	20.0987i	0.496151	−	0.859359i	−0.503839	−	0.863798i	$-0.668080\pi$
$547$	11.6040	−	20.0987i	0.496151	−	0.859359i	0.999990	+	0.00443859i	$0.00141285\pi$
$548$	−0.229668	+	2.62511i	−0.00981092	+	0.112139i
$549$	2.16098	−	2.16098i	0.0922286	−	0.0922286i
$550$	13.9878	−	13.8890i	0.596440	−	0.592229i
$551$	−0.773885	−	0.281671i	−0.0329686	−	0.0119996i
$552$	−6.92818	−	4.85116i	−0.294883	−	0.206479i
$553$	−1.66919	+	9.46642i	−0.0709810	+	0.402553i
$554$	19.4690			0.827160
$555$	−18.3449	−	12.1574i	−0.778697	−	0.516052i
$556$	3.80141			0.161216
$557$	−1.77002	+	10.0383i	−0.0749980	+	0.425335i	0.924072	+	0.382218i	$0.124840\pi$
$557$	−1.77002	+	10.0383i	−0.0749980	+	0.425335i	−0.999070	+	0.0431166i	$0.986271\pi$
$558$	−1.66577	−	1.16639i	−0.0705177	−	0.0493770i
$559$	15.8031	+	5.75184i	0.668398	+	0.243277i
$560$	−1.92947	−	2.11315i	−0.0815349	−	0.0892968i
$561$	−21.6040	+	21.6040i	−0.912121	+	0.912121i
$562$	2.52659	−	28.8790i	0.106578	−	1.21819i
$563$	18.2648	−	31.6355i	0.769768	−	1.33328i	−0.167921	−	0.985801i	$-0.553705\pi$
$563$	18.2648	−	31.6355i	0.769768	−	1.33328i	0.937689	−	0.347477i	$-0.112961\pi$
$564$	6.19026	+	17.0076i	0.260657	+	0.716149i
$565$	−8.11536	+	36.3016i	−0.341416	+	1.52722i
$566$	20.1935	+	11.6587i	0.848798	+	0.490053i
$567$	−5.65790	−	8.08032i	−0.237610	−	0.339342i
$568$	12.4428	+	4.52879i	0.522086	+	0.190024i
$569$	−21.4051	−	5.73548i	−0.897349	−	0.240444i	−0.219472	−	0.975619i	$-0.570433\pi$
$569$	−21.4051	−	5.73548i	−0.897349	−	0.240444i	−0.677878	+	0.735175i	$0.737100\pi$
$570$	−7.33440	+	0.952379i	−0.307204	+	0.0398908i
$571$	18.4239	+	15.4595i	0.771017	+	0.646960i	0.940969	−	0.338492i	$-0.109917\pi$
$571$	18.4239	+	15.4595i	0.771017	+	0.646960i	−0.169952	+	0.985452i	$0.554361\pi$
$572$	−8.14462	−	22.3771i	−0.340543	−	0.935636i
$573$	40.9499	−	7.22058i	1.71071	−	0.301644i
$574$	−6.91967	+	9.88231i	−0.288821	+	0.412480i
$575$	10.9615	+	23.7261i	0.457127	+	0.989447i
$576$	−0.245521	+	0.292601i	−0.0102301	+	0.0121917i
$577$	−1.72814	+	2.05952i	−0.0719436	+	0.0857390i	−0.800816	−	0.598911i	$-0.795600\pi$
$577$	−1.72814	+	2.05952i	−0.0719436	+	0.0857390i	0.728872	+	0.684650i	$0.240045\pi$
$578$	−2.97021	−	5.14455i	−0.123544	−	0.213985i
$579$	35.5678	−	16.5855i	1.47815	−	0.689271i
$580$	−0.892935	−	0.119166i	−0.0370771	−	0.00494812i
$581$	−0.720356	+	1.24769i	−0.0298854	+	0.0517631i
$582$	−4.81417	+	17.9667i	−0.199554	+	0.744744i
$583$	2.75999	−	5.91881i	0.114307	−	0.245132i
$584$	3.05588	+	11.4047i	0.126453	+	0.471929i
$585$	−5.15368	−	0.234161i	−0.213079	−	0.00968137i
$586$	18.3058	+	18.3058i	0.756205	+	0.756205i
$587$	20.9025	−	17.5393i	0.862739	−	0.723924i	−0.0998170	−	0.995006i	$-0.531826\pi$
$587$	20.9025	−	17.5393i	0.862739	−	0.723924i	0.962556	+	0.271082i	$0.0873813\pi$
$588$	−3.66684	−	7.86355i	−0.151218	−	0.324287i
$589$	10.7177	−	1.88983i	0.441617	−	0.0778689i
$590$	1.07357	−	8.04441i	0.0441980	−	0.331183i
$591$			23.6538i			0.972987i
$592$	3.56947	−	4.92533i	0.146704	−	0.202430i
$593$	1.71172	+	1.71172i	0.0702919	+	0.0702919i	0.741379	−	0.671087i	$-0.234172\pi$
$593$	1.71172	+	1.71172i	0.0702919	+	0.0702919i	−0.671087	+	0.741379i	$0.734172\pi$
$594$	12.3739	+	17.6718i	0.507709	+	0.725084i
$595$	−2.94272	−	13.3859i	−0.120640	−	0.548768i
$596$	3.54129	−	9.72961i	0.145057	−	0.398540i
$597$	−14.2135	−	16.9390i	−0.581719	−	0.693266i
$598$	31.5737			1.29114
$599$	−3.35056	−	3.99304i	−0.136900	−	0.163151i	0.693239	−	0.720708i	$-0.256183\pi$
$599$	−3.35056	−	3.99304i	−0.136900	−	0.163151i	−0.830139	+	0.557557i	$0.811739\pi$
$600$	−7.61203	+	2.74005i	−0.310760	+	0.111862i
$601$	7.90700	−	2.87791i	0.322533	−	0.117392i	−0.175679	−	0.984447i	$-0.556212\pi$
$601$	7.90700	−	2.87791i	0.322533	−	0.117392i	0.498212	+	0.867055i	$0.333990\pi$
$602$	3.44152	+	0.922153i	0.140266	+	0.0375842i
$603$	−0.245678	−	0.916882i	−0.0100048	−	0.0373383i
$604$	−5.38880	−	0.950191i	−0.219267	−	0.0386627i
$605$	9.01793	−	4.67416i	0.366631	−	0.190032i
$606$	3.87266	−	14.4529i	0.157316	−	0.587111i
$607$	12.6176	+	10.5874i	0.512131	+	0.429729i	0.861878	−	0.507115i	$-0.169288\pi$
$607$	12.6176	+	10.5874i	0.512131	+	0.429729i	−0.349747	+	0.936844i	$0.613733\pi$
$608$	−0.178163	−	2.03642i	−0.00722548	−	0.0825877i
$609$	0.756035	+	0.352545i	0.0306361	+	0.0142858i
$610$	3.84133	+	17.4735i	0.155531	+	0.707483i
$611$	−55.3468	−	38.7542i	−2.23909	−	1.56783i
$612$	−1.71913	+	0.625712i	−0.0694917	+	0.0252929i
$613$	21.9774	−	1.92277i	0.887658	−	0.0776600i	0.365801	−	0.930693i	$-0.380795\pi$
$613$	21.9774	−	1.92277i	0.887658	−	0.0776600i	0.521857	+	0.853033i	$0.325239\pi$
$614$	−1.50163	−	17.1637i	−0.0606009	−	0.692672i
$615$	18.2752	+	28.7988i	0.736929	+	1.16128i
$616$	−2.13216	−	4.57242i	−0.0859070	−	0.184228i
$617$	1.45640	−	1.01978i	0.0586326	−	0.0410550i	−0.543893	−	0.839155i	$-0.683050\pi$
$617$	1.45640	−	1.01978i	0.0586326	−	0.0410550i	0.602525	+	0.798100i	$0.294161\pi$
$618$	12.9812	−	3.47829i	0.522179	−	0.139917i
$619$	−0.101262	−	0.175390i	−0.00407005	−	0.00704953i	0.863983	−	0.503521i	$-0.167962\pi$
$619$	−0.101262	−	0.175390i	−0.00407005	−	0.00704953i	−0.868053	+	0.496471i	$0.834629\pi$
$620$	11.0064	−	4.53620i	0.442029	−	0.182178i
$621$	−27.6291	+	7.40320i	−1.10872	+	0.297080i
$622$	5.89125	+	0.515417i	0.236218	+	0.0206664i
$623$			9.27531i			0.371607i
$624$	−0.851810	+	9.73623i	−0.0340997	+	0.389761i
$625$	24.5888	+	4.51552i	0.983553	+	0.180621i
$626$	3.55374	+	20.1543i	0.142036	+	0.805526i
$627$	−12.8417	−	2.26434i	−0.512848	−	0.0904289i
$628$	−8.11228	+	8.11228i	−0.323715	+	0.323715i
$629$	26.6011	−	11.8817i	1.06066	−	0.473756i
$630$	−1.09204	+	0.0457415i	−0.0435077	+	0.00182239i
$631$	27.5510	−	19.2914i	1.09679	−	0.767979i	0.122316	−	0.992491i	$-0.460968\pi$
$631$	27.5510	−	19.2914i	1.09679	−	0.767979i	0.974471	+	0.224512i	$0.0720790\pi$
$632$	−4.30839	+	6.15302i	−0.171379	+	0.244754i
$633$	−8.41764	+	3.92521i	−0.334571	+	0.156013i
$634$	15.3163	+	1.34000i	0.608288	+	0.0532183i
$635$	0.313474	+	7.48390i	0.0124398	+	0.296989i
$636$	−2.05324	+	1.72287i	−0.0814163	+	0.0683164i
$637$	28.0508	+	16.1951i	1.11141	+	0.641674i
$638$	−1.43947	−	0.671238i	−0.0569894	−	0.0265746i
$639$	4.38009	−	2.52885i	0.173274	−	0.100040i
$640$	−0.668620	−	2.13376i	−0.0264295	−	0.0843444i
$641$	3.22304	−	18.2788i	0.127302	−	0.721968i	−0.852611	−	0.522546i	$-0.824982\pi$
$641$	3.22304	−	18.2788i	0.127302	−	0.721968i	0.979914	−	0.199422i	$-0.0639065\pi$
$642$	11.2902	−	31.0197i	0.445590	−	1.22425i
$643$	−34.2109	+	19.7517i	−1.34915	+	0.778931i	−0.988129	−	0.153628i	$-0.950904\pi$
$643$	−34.2109	+	19.7517i	−1.34915	+	0.778931i	−0.361019	+	0.932558i	$0.617571\pi$
$644$	6.66379	−	0.583006i	0.262590	−	0.0229737i
$645$	6.14635	−	7.98077i	0.242012	−	0.314242i
$646$	4.13782	−	8.87359i	0.162800	−	0.349127i
$647$	−4.18903	−	23.7572i	−0.164688	−	0.933991i	−0.949386	−	0.314113i	$-0.898293\pi$
$647$	−4.18903	−	23.7572i	−0.164688	−	0.933991i	0.784698	−	0.619878i	$-0.212818\pi$
$648$	−1.33852	−	7.59111i	−0.0525819	−	0.298207i
$649$	6.04716	−	12.9682i	0.237372	−	0.509045i
$650$	17.4104	−	24.6781i	0.682892	−	0.967955i
$651$	−10.9817	+	0.960778i	−0.430408	+	0.0376559i
$652$	−5.71140	+	3.29748i	−0.223676	+	0.129139i
$653$	16.6251	−	45.6771i	0.650591	−	1.78748i	0.0350399	−	0.999386i	$-0.488844\pi$
$653$	16.6251	−	45.6771i	0.650591	−	1.78748i	0.615551	−	0.788097i	$-0.288934\pi$
$654$	−3.67424	+	20.8376i	−0.143674	+	0.814816i
$655$	−0.211668	+	0.404858i	−0.00827056	+	0.0158191i
$656$	−8.16421	+	4.71361i	−0.318759	+	0.184036i
$657$	4.08731	+	1.90594i	0.159461	+	0.0743579i
$658$	−12.3968	−	7.15730i	−0.483278	−	0.279021i
$659$	−7.54238	+	6.32881i	−0.293809	+	0.246535i	−0.777762	−	0.628559i	$-0.783645\pi$
$659$	−7.54238	+	6.32881i	−0.293809	+	0.246535i	0.483953	+	0.875094i	$0.339201\pi$
$660$	−14.2512	+	0.596934i	−0.554728	+	0.0232356i
$661$	22.6546	+	1.98202i	0.881161	+	0.0770916i	0.518749	−	0.854927i	$-0.326398\pi$
$661$	22.6546	+	1.98202i	0.881161	+	0.0770916i	0.362412	+	0.932018i	$0.381953\pi$
$662$	1.49660	−	0.697877i	0.0581671	−	0.0271237i
$663$	−26.8496	+	38.3453i	−1.04275	+	1.48921i
$664$	−0.922214	+	0.645741i	−0.0357888	+	0.0250596i
$665$	3.95949	−	4.30569i	0.153542	−	0.166968i
$666$	−0.564776	−	2.25370i	−0.0218846	−	0.0873293i
$667$	1.48909	−	1.48909i	0.0576577	−	0.0576577i
$668$	−9.37810	−	1.65361i	−0.362850	−	0.0639802i
$669$	1.02622	+	5.82000i	0.0396761	+	0.225014i
$670$	5.29674	+	1.68038i	0.204631	+	0.0649186i
$671$	−2.74917	+	31.4231i	−0.106130	+	1.21308i
$672$			2.07061i			0.0798755i
$673$	−23.4174	−	2.04876i	−0.902674	−	0.0789737i	−0.373639	−	0.927574i	$-0.621890\pi$
$673$	−23.4174	−	2.04876i	−0.902674	−	0.0789737i	−0.529035	+	0.848600i	$0.677446\pi$
$674$	−26.1537	+	7.00785i	−1.00740	+	0.269932i
$675$	−9.44892	+	25.6773i	−0.363689	+	0.988320i
$676$	−11.7426	−	20.3388i	−0.451639	−	0.782262i
$677$	−41.6036	+	11.1477i	−1.59896	+	0.428439i	−0.944727	−	0.327857i	$-0.893674\pi$
$677$	−41.6036	+	11.1477i	−1.59896	+	0.428439i	−0.654230	+	0.756296i	$0.727007\pi$
$678$	22.0487	−	15.4387i	0.846775	−	0.592918i
$679$	−6.21721	−	13.3329i	−0.238595	−	0.511668i
$680$	2.33656	−	10.4519i	0.0896032	−	0.400813i
$681$	0.288768	+	3.30063i	0.0110656	+	0.126480i
$682$	20.9090	−	1.82930i	0.800647	−	0.0700476i
$683$	−24.0262	+	8.74483i	−0.919338	+	0.334612i	−0.757975	−	0.652284i	$-0.773811\pi$
$683$	−24.0262	+	8.74483i	−0.919338	+	0.334612i	−0.161363	+	0.986895i	$0.551589\pi$
$684$	−0.639601	−	0.447853i	−0.0244558	−	0.0171241i
$685$	−5.75494	+	1.26515i	−0.219885	+	0.0483388i
$686$	14.3380	+	6.68590i	0.547426	+	0.255269i
$687$	1.60036	+	18.2922i	0.0610575	+	0.697890i
$688$	2.13280	+	1.78963i	0.0813123	+	0.0682291i
$689$	2.58972	−	9.66497i	0.0986605	−	0.368206i
$690$	5.71891	−	18.0267i	0.217715	−	0.686264i
$691$	−4.94071	−	0.871181i	−0.187954	−	0.0331413i	0.0788789	−	0.996884i	$-0.474866\pi$
$691$	−4.94071	−	0.871181i	−0.187954	−	0.0331413i	−0.266833	+	0.963743i	$0.585977\pi$
$692$	−0.316611	−	1.18161i	−0.0120357	−	0.0449180i
$693$	−1.86139	−	0.498757i	−0.0707082	−	0.0189462i
$694$	−21.6593	+	7.88333i	−0.822175	+	0.299247i
$695$	2.54170	+	8.11132i	0.0964123	+	0.307680i
$696$	0.419009	+	0.499356i	0.0158825	+	0.0189280i
$697$	−45.1528			−1.71028
$698$	−15.9676	−	19.0294i	−0.604381	−	0.720274i
$699$	8.68161	−	23.8525i	0.328369	−	0.902186i
$700$	3.21888	−	5.52992i	0.121662	−	0.209011i
$701$	−9.80159	−	13.9981i	−0.370201	−	0.528702i	0.590224	−	0.807239i	$-0.299039\pi$
$701$	−9.80159	−	13.9981i	−0.370201	−	0.528702i	−0.960425	+	0.278538i	$0.910150\pi$
$702$	23.3722	+	23.3722i	0.882129	+	0.882129i
$703$	10.6660	+	6.39141i	0.402275	+	0.241057i
$704$		−	3.94240i		−	0.148585i
$705$	−32.1512	+	24.5802i	−1.21089	+	0.925742i
$706$	−21.4326	+	3.77914i	−0.806626	+	0.142230i
$707$	5.00131	+	10.7253i	0.188093	+	0.403368i
$708$	−4.49867	+	3.77484i	−0.169071	+	0.141867i
$709$	−25.7706	−	25.7706i	−0.967836	−	0.967836i	0.0316629	−	0.999499i	$-0.489920\pi$
$709$	−25.7706	−	25.7706i	−0.967836	−	0.967836i	−0.999499	+	0.0316629i	$0.989920\pi$
$710$	−1.34389	+	29.5779i	−0.0504354	+	1.11004i
$711$	0.742578	+	2.77134i	0.0278489	+	0.103933i
$712$	−3.06314	+	6.56891i	−0.114796	+	0.246180i
$713$	−7.20264	+	26.8806i	−0.269741	+	1.00669i
$714$	−4.95871	+	8.58874i	−0.185575	+	0.321426i
$715$	42.3019	−	32.3405i	1.58200	−	1.20947i
$716$	23.3096	−	10.8694i	0.871119	−	0.406210i
$717$	5.01586	+	8.68772i	0.187321	+	0.324449i
$718$	−10.4180	+	12.4157i	−0.388798	+	0.463352i
$719$	−8.09643	+	9.64895i	−0.301946	+	0.359845i	−0.895588	−	0.444884i	$-0.853245\pi$
$719$	−8.09643	+	9.64895i	−0.301946	+	0.359845i	0.593642	+	0.804729i	$0.297689\pi$
$720$	−0.788502	−	0.328246i	−0.0293857	−	0.0122330i
$721$	−6.09654	+	8.70677i	−0.227047	+	0.324257i
$722$	−14.5961	+	2.57368i	−0.543210	+	0.0957826i
$723$	0.696663	+	1.91407i	0.0259092	+	0.0711849i
$724$	−8.03263	−	6.74018i	−0.298530	−	0.250497i
$725$	−0.342761	−	1.98499i	−0.0127298	−	0.0737206i
$726$	−7.09946	−	1.90229i	−0.263486	−	0.0706008i
$727$	−30.0991	−	10.9552i	−1.11632	−	0.406306i	−0.283009	−	0.959117i	$-0.591333\pi$
$727$	−30.0991	−	10.9552i	−1.11632	−	0.406306i	−0.833306	+	0.552812i	$0.813555\pi$
$728$	−4.43364	−	6.33189i	−0.164322	−	0.234676i
$729$	−25.5534	−	14.7533i	−0.946424	−	0.546418i
$730$	−22.2917	+	14.1459i	−0.825052	+	0.523564i
$731$	4.56088	+	12.5309i	0.168690	+	0.463473i
$732$	6.47295	−	11.2115i	0.239247	−	0.414388i
$733$	−0.589271	+	6.73540i	−0.0217652	+	0.248778i	0.977516	+	0.210863i	$0.0676273\pi$
$733$	−0.589271	+	6.73540i	−0.0217652	+	0.248778i	−0.999281	+	0.0379153i	$0.987928\pi$
$734$	4.24801	−	4.24801i	0.156797	−	0.156797i
$735$	14.3272	−	13.0819i	0.528468	−	0.482533i
$736$	4.91193	+	1.78780i	0.181056	+	0.0658991i
$737$	8.02551	+	5.61952i	0.295623	+	0.206998i
$738$	−0.625282	+	3.54615i	−0.0230169	+	0.130536i
$739$	−39.4719			−1.45200			−0.725998	−	0.687697i	$-0.758622\pi$
$739$	−39.4719			−1.45200			−0.725998	+	0.687697i	$0.758622\pi$
$740$	12.8961	+	4.32322i	0.474071	+	0.158925i
$741$	−19.9788			−0.733939
$742$	0.368111	−	2.08766i	0.0135138	−	0.0766405i
$743$	−3.62457	−	2.53795i	−0.132973	−	0.0931084i	0.505198	−	0.863004i	$-0.331420\pi$
$743$	−3.62457	−	2.53795i	−0.132973	−	0.0931084i	−0.638170	+	0.769895i	$0.720308\pi$
$744$	−8.09473	−	2.94624i	−0.296767	−	0.108014i
$745$	23.1285	+	1.05086i	0.847361	+	0.0385004i
$746$	−8.92567	+	8.92567i	−0.326792	+	0.326792i
$747$	−0.0374787	+	0.428384i	−0.00137128	+	0.0156737i
$748$	9.44128	−	16.3528i	0.345207	−	0.597917i
$749$	8.92947	+	24.5335i	0.326276	+	0.896436i
$750$	−10.9362	−	14.4102i	−0.399333	−	0.526187i
$751$	−44.1898	−	25.5130i	−1.61251	−	0.930983i	−0.988786	−	0.149337i	$-0.952286\pi$
$751$	−44.1898	−	25.5130i	−1.61251	−	0.930983i	−0.623723	−	0.781645i	$-0.714381\pi$
$752$	−6.41594	−	9.16291i	−0.233965	−	0.334137i
$753$	4.62089	+	1.68187i	0.168395	+	0.0612907i
$754$	−2.35056	−	0.629830i	−0.0856022	−	0.0229370i
$755$	−1.57558	−	12.1337i	−0.0573412	−	0.441592i
$756$	5.36440	+	4.50127i	0.195101	+	0.163709i
$757$	−8.01547	−	22.0223i	−0.291327	−	0.800415i	−0.995873	−	0.0907567i	$-0.971071\pi$
$757$	−8.01547	−	22.0223i	−0.291327	−	0.800415i	0.704546	−	0.709659i	$-0.251151\pi$
$758$	14.8079	−	2.61104i	0.537848	−	0.0948372i
$759$	19.1252	−	27.3136i	0.694201	−	0.991422i
$760$	4.22611	−	1.74175i	0.153297	−	0.0631799i
$761$	24.1077	−	28.7304i	0.873902	−	1.04148i	−0.124882	−	0.992172i	$-0.539855\pi$
$761$	24.1077	−	28.7304i	0.873902	−	1.04148i	0.998784	−	0.0493044i	$-0.0157004\pi$
$762$	3.48401	−	4.15208i	0.126212	−	0.150414i
$763$	−8.36738	−	14.4927i	−0.302920	−	0.524672i
$764$	−23.2911	+	10.8608i	−0.842642	+	0.392930i
$765$	−2.48457	−	3.24985i	−0.0898296	−	0.117499i
$766$	−7.90406	+	13.6902i	−0.285585	+	0.494648i
$767$	5.67411	−	21.1761i	0.204880	−	0.764623i
$768$	−0.683811	+	1.46644i	−0.0246749	+	0.0529155i
$769$	7.70467	+	28.7542i	0.277837	+	1.03690i	0.953916	+	0.300074i	$0.0970113\pi$
$769$	7.70467	+	28.7542i	0.277837	+	1.03690i	−0.676079	+	0.736829i	$0.736322\pi$
$770$	8.33086	−	7.60673i	0.300224	−	0.274127i
$771$	27.5432	+	27.5432i	0.991945	+	0.991945i
$772$	−18.5801	+	15.5905i	−0.668711	+	0.561115i
$773$	13.0088	+	27.8975i	0.467895	+	1.00340i	0.988725	+	0.149743i	$0.0478448\pi$
$773$	13.0088	+	27.8975i	0.467895	+	1.00340i	−0.520830	+	0.853660i	$0.674377\pi$
$774$	1.04730	−	0.184667i	0.0376443	−	0.00663771i
$775$	17.0383	+	20.4522i	0.612034	+	0.734663i
$776$		−	11.4957i		−	0.412673i
$777$	−10.1984	−	7.39097i	−0.365867	−	0.265150i
$778$	4.16708	+	4.16708i	0.149397	+	0.149397i
$779$	−11.0534	−	15.7860i	−0.396031	−	0.565590i
$780$	−21.3443	+	4.69228i	−0.764250	+	0.168011i
$781$	−17.8543	+	49.0543i	−0.638877	+	1.75530i
$782$	16.0929	+	19.1788i	0.575482	+	0.685832i
$783$	2.20458			0.0787851
$784$	3.44685	+	4.10780i	0.123102	+	0.146707i
$785$	−22.7337	−	11.8857i	−0.811402	−	0.424217i
$786$	0.310645	−	0.113066i	0.0110803	−	0.00403291i
$787$	34.7420	+	9.30910i	1.23842	+	0.331834i	0.817853	−	0.575428i	$-0.195164\pi$
$787$	34.7420	+	9.30910i	1.23842	+	0.331834i	0.420567	+	0.907261i	$0.361831\pi$
$788$	−3.78363	−	14.1207i	−0.134786	−	0.503030i
$789$	−27.7761	−	4.89767i	−0.988855	−	0.174362i
$790$	−16.0098	−	5.07906i	−0.569602	−	0.180705i
$791$	−5.50982	+	20.5629i	−0.195907	+	0.731133i
$792$	−1.15355	−	0.967943i	−0.0409896	−	0.0343943i
$793$	4.21211	+	48.1446i	0.149576	+	1.70967i
$794$	−6.79115	−	3.16677i	−0.241009	−	0.112384i
$795$	−5.04905	−	3.22918i	−0.179071	−	0.114527i
$796$	11.1946	+	7.83856i	0.396783	+	0.277831i
$797$	−19.2137	+	6.99322i	−0.680585	+	0.247713i	−0.659099	−	0.752056i	$-0.729062\pi$
$797$	−19.2137	+	6.99322i	−0.680585	+	0.247713i	−0.0214863	+	0.999769i	$0.506840\pi$
$798$	−4.21663	+	0.368907i	−0.149267	+	0.0130592i
$799$	−4.66945	−	53.3721i	−0.165193	−	1.88817i
$800$	4.10589	−	2.85336i	0.145165	−	0.100881i
$801$	1.17001	+	2.50909i	0.0413401	+	0.0886542i
$802$	−6.96661	+	4.87807i	−0.246000	+	0.172251i
$803$	−44.9618	+	12.0475i	−1.58667	+	0.425146i
$804$	−2.01051	−	3.48230i	−0.0709051	−	0.122811i
$805$	5.69954	+	13.8291i	0.200882	+	0.487413i
$806$	31.0621	−	8.32308i	1.09412	−	0.293168i
$807$	7.02160	+	0.614311i	0.247172	+	0.0216248i
$808$			9.24751i			0.325326i
$809$	−0.769990	+	8.80103i	−0.0270714	+	0.309428i	0.970572	+	0.240812i	$0.0774138\pi$
$809$	−0.769990	+	8.80103i	−0.0270714	+	0.309428i	−0.997643	+	0.0686156i	$0.978142\pi$
$810$	15.3027	−	7.93165i	0.537681	−	0.278690i
$811$	−1.80256	−	10.2228i	−0.0632964	−	0.358972i	−0.999962	−	0.00874614i	$-0.997216\pi$
$811$	−1.80256	−	10.2228i	−0.0632964	−	0.358972i	0.936665	−	0.350226i	$-0.113895\pi$
$812$	−0.507727	−	0.0895259i	−0.0178177	−	0.00314174i
$813$	−11.1529	+	11.1529i	−0.391151	+	0.391151i
$814$	19.4176	+	14.0723i	0.680587	+	0.493232i
$815$	−10.8548	−	9.98202i	−0.380227	−	0.349655i
$816$	−6.34824	+	4.44508i	−0.222233	+	0.155609i
$817$	−3.26445	+	4.66212i	−0.114209	+	0.163107i
$818$	−2.94107	+	1.37145i	−0.102832	+	0.0479515i
$819$	−2.94127	−	0.257328i	−0.102776	−	0.00899177i
$820$	−15.5165	−	14.2689i	−0.541859	−	0.498291i
$821$	−23.1272	+	19.4060i	−0.807143	+	0.677274i	−0.949924	−	0.312481i	$-0.898840\pi$
$821$	−23.1272	+	19.4060i	−0.807143	+	0.677274i	0.142781	+	0.989754i	$0.454396\pi$
$822$	3.69252	+	2.13188i	0.128791	+	0.0743577i
$823$	−19.4536	−	9.07137i	−0.678111	−	0.316208i	0.0528749	−	0.998601i	$-0.483162\pi$
$823$	−19.4536	−	9.07137i	−0.678111	−	0.316208i	−0.730986	+	0.682393i	$0.760939\pi$
$824$	−7.19304	+	4.15291i	−0.250582	+	0.144673i
$825$	−10.8024	−	30.0096i	−0.376091	−	1.04480i
$826$	0.806535	−	4.57409i	0.0280629	−	0.159153i
$827$	−6.06345	+	16.6592i	−0.210847	+	0.579297i	−0.999362	−	0.0357184i	$-0.988628\pi$
$827$	−6.06345	+	16.6592i	−0.210847	+	0.579297i	0.788515	+	0.615016i	$0.210850\pi$
$828$	1.72910	−	0.998294i	0.0600903	−	0.0346931i
$829$	49.1204	−	4.29748i	1.70602	−	0.149258i	0.807993	−	0.589192i	$-0.200554\pi$
$829$	49.1204	−	4.29748i	1.70602	−	0.149258i	0.898030	+	0.439935i	$0.144998\pi$
$830$	−1.99447	−	1.53603i	−0.0692290	−	0.0533164i
$831$	13.3131	−	28.5501i	0.461828	−	0.990392i
$832$	−1.04889	−	5.94854i	−0.0363636	−	0.206228i
$833$	4.45991	+	25.2934i	0.154527	+	0.876365i
$834$	2.59945	−	5.57454i	0.0900116	−	0.193030i
$835$	−2.74197	−	21.1163i	−0.0948898	−	0.730759i
$836$	8.02837	−	0.702391i	0.277667	−	0.0242927i
$837$	−25.2299	+	14.5665i	−0.872074	+	0.503492i
$838$	11.7237	−	32.2107i	0.404989	−	1.11270i
$839$	4.07752	−	23.1248i	0.140772	−	0.798355i	−0.829894	−	0.557921i	$-0.811599\pi$
$839$	4.07752	−	23.1248i	0.140772	−	0.798355i	0.970665	−	0.240434i	$-0.0772898\pi$
$840$	−4.41819	+	1.38445i	−0.152442	+	0.0477681i
$841$	24.9742	−	14.4188i	0.861178	−	0.497202i
$842$	−18.8284	−	8.77982i	−0.648869	−	0.302573i
$843$	−40.6216	−	23.4529i	−1.39908	−	0.807760i
$844$	4.39725	−	3.68973i	0.151360	−	0.127006i
$845$	35.5469	−	38.6549i	1.22285	−	1.32977i
$846$	−4.25633	−	0.372381i	−0.146336	−	0.0128027i
$847$	5.26841	−	2.45670i	0.181025	−	0.0844132i
$848$	0.950144	−	1.35695i	0.0326281	−	0.0465977i
$849$	30.9054	−	21.6402i	1.06067	−	0.742689i
$850$	23.8642	−	2.00269i	0.818535	−	0.0686916i
$851$	−26.3385	+	17.8114i	−0.902872	+	0.610568i
$852$	15.1497	−	15.1497i	0.519020	−	0.519020i
$853$	−30.3842	−	5.35756i	−1.04034	−	0.183439i	−0.372719	−	0.927944i	$-0.621574\pi$
$853$	−30.3842	−	5.35756i	−1.04034	−	0.183439i	−0.667617	+	0.744505i	$0.732685\pi$
$854$	1.77797	+	10.0834i	0.0608410	+	0.345046i
$855$	0.527963	−	1.66420i	0.0180560	−	0.0569145i
$856$	−1.77811	+	20.3239i	−0.0607747	+	0.694658i
$857$		−	17.5369i		−	0.599049i	−0.954089	−	0.299524i	$-0.903172\pi$
$857$		−	17.5369i		−	0.599049i	0.954089	−	0.299524i	$-0.0968280\pi$
$858$	−38.3841	−	3.35817i	−1.31041	−	0.114646i
$859$	17.7553	−	4.75753i	0.605804	−	0.162325i	0.0571380	−	0.998366i	$-0.481803\pi$
$859$	17.7553	−	4.75753i	0.605804	−	0.162325i	0.548666	+	0.836042i	$0.315136\pi$
$860$	−2.39262	+	5.74748i	−0.0815876	+	0.195987i
$861$	9.76004	+	16.9049i	0.332621	+	0.576117i
$862$	10.5722	−	2.83282i	0.360091	−	0.0964862i
$863$	11.9177	−	8.34485i	0.405682	−	0.284062i	−0.352872	−	0.935672i	$-0.614795\pi$
$863$	11.9177	−	8.34485i	0.405682	−	0.284062i	0.758554	+	0.651610i	$0.225906\pi$
$864$	2.31262	+	4.95944i	0.0786771	+	0.168724i
$865$	2.30958	−	1.46562i	0.0785280	−	0.0498325i
$866$	−1.82177	−	20.8229i	−0.0619061	−	0.707590i
$867$	−9.57523	+	0.837724i	−0.325192	+	0.0284506i
$868$	6.40214	−	2.33019i	0.217303	−	0.0790917i
$869$	−24.2577	−	16.9854i	−0.822885	−	0.576190i
$870$	−0.785349	+	1.22795i	−0.0266258	+	0.0416313i
$871$	13.6045	+	6.34388i	0.460970	+	0.214954i
$872$	−1.13974	−	13.0273i	−0.0385964	−	0.441159i
$873$	−3.36367	−	2.82245i	−0.113843	−	0.0955255i
$874$	−2.76558	+	10.3213i	−0.0935470	+	0.349122i
$875$	13.9518	+	3.17090i	0.471655	+	0.107196i
$876$	18.8139	+	3.31740i	0.635663	+	0.112085i
$877$	0.794557	+	2.96533i	0.0268303	+	0.100132i	0.978043	−	0.208405i	$-0.0668273\pi$
$877$	0.794557	+	2.96533i	0.0268303	+	0.100132i	−0.951212	+	0.308537i	$0.900161\pi$
$878$	5.57031	+	1.49256i	0.187989	+	0.0503714i
$879$	39.3620	−	14.3266i	1.32765	−	0.483224i
$880$	8.41214	−	2.63597i	0.283573	−	0.0888584i
$881$	−27.3113	−	32.5484i	−0.920143	−	1.09658i	−0.995048	−	0.0993927i	$-0.968310\pi$
$881$	−27.3113	−	32.5484i	−0.920143	−	1.09658i	0.0749056	−	0.997191i	$-0.476134\pi$
$882$	2.04822			0.0689672
$883$	−16.9037	−	20.1450i	−0.568855	−	0.677935i	0.402541	−	0.915402i	$-0.368127\pi$
$883$	−16.9037	−	20.1450i	−0.568855	−	0.677935i	−0.971396	+	0.237467i	$0.923683\pi$
$884$	9.89489	−	27.1860i	0.332801	−	0.914364i
$885$	−11.0625	−	7.07517i	−0.371862	−	0.237829i
$886$	16.3370	+	23.3316i	0.548852	+	0.783841i
$887$	−20.6890	−	20.6890i	−0.694667	−	0.694667i	0.268588	−	0.963255i	$-0.413443\pi$
$887$	−20.6890	−	20.6890i	−0.694667	−	0.694667i	−0.963255	+	0.268588i	$0.913443\pi$
$888$	−4.78185	−	8.60240i	−0.160468	−	0.288678i
$889$			4.28681i			0.143775i
$890$	−16.0646	−	2.14390i	−0.538486	−	0.0718636i
$891$	29.9272	−	5.27696i	1.00260	−	0.176785i
$892$	−1.54359	−	3.31024i	−0.0516832	−	0.110835i
$893$	17.5164	−	14.6980i	0.586165	−	0.491851i
$894$	−11.8463	−	11.8463i	−0.396199	−	0.396199i
$895$	38.7780	+	42.4696i	1.29621	+	1.41960i
$896$	−0.331212	−	1.23610i	−0.0110650	−	0.0412953i
$897$	21.5904	−	46.3008i	0.720884	−	1.54594i
$898$	−1.14686	+	4.28014i	−0.0382712	+	0.142830i
$899$	1.07243	−	1.85750i	0.0357674	−	0.0619509i
$900$	0.173190	−	1.90195i	0.00577301	−	0.0633983i
$901$	7.19076	−	3.35311i	0.239559	−	0.111708i
$902$	−18.5829	−	32.1865i	−0.618743	−	1.07169i
$903$	3.70563	−	4.41620i	0.123316	−	0.146962i
$904$	−10.6930	+	12.7434i	−0.355643	+	0.423839i
$905$	9.01116	−	21.6463i	0.299541	−	0.719549i
$906$	−5.07832	+	7.25259i	−0.168716	+	0.240951i
$907$	−32.8519	+	5.79267i	−1.09083	+	0.192343i	−0.689999	−	0.723810i	$-0.742389\pi$
$907$	−32.8519	+	5.79267i	−1.09083	+	0.192343i	−0.400830	+	0.916153i	$0.631278\pi$
$908$	−0.700352	−	1.92420i	−0.0232420	−	0.0638569i
$909$	2.70583	+	2.27046i	0.0897468	+	0.0753065i
$910$	10.5463	−	13.6940i	0.349608	−	0.453951i
$911$	29.2235	+	7.83043i	0.968219	+	0.259434i	0.708076	−	0.706136i	$-0.249563\pi$
$911$	29.2235	+	7.83043i	0.968219	+	0.259434i	0.260144	+	0.965570i	$0.416230\pi$
$912$	−3.10811	−	1.13126i	−0.102920	−	0.0374597i
$913$	−2.54577	−	3.63573i	−0.0842526	−	0.120325i
$914$	−4.46948	−	2.58046i	−0.147837	−	0.0853540i
$915$	28.2506	+	6.31553i	0.933936	+	0.208785i
$916$	−3.88137	−	10.6640i	−0.128244	−	0.352348i
$917$	−0.130729	+	0.226429i	−0.00431704	+	0.00747734i
$918$	−2.28430	+	26.1097i	−0.0753932	+	0.861748i
$919$	−25.0999	+	25.0999i	−0.827969	+	0.827969i	−0.987236	−	0.159267i	$-0.949087\pi$
$919$	−25.0999	+	25.0999i	−0.827969	+	0.827969i	0.159267	+	0.987236i	$0.449087\pi$
$920$	−0.530519	+	11.6763i	−0.0174907	+	0.384955i
$921$	−26.1964	−	9.53470i	−0.863200	−	0.314179i
$922$	1.79524	+	1.25704i	0.0591230	+	0.0413983i
$923$	−13.8886	+	78.7664i	−0.457150	+	2.59263i
$924$	−8.16316			−0.268548
$925$	−0.602134	+	30.4079i	−0.0197980	+	0.999804i
$926$	34.4525			1.13218
$927$	−0.550902	+	3.12432i	−0.0180940	+	0.102616i
$928$	−0.330014	−	0.231078i	−0.0108332	−	0.00758552i
$929$	38.2931	+	13.9375i	1.25635	+	0.457276i	0.882544	−	0.470229i	$-0.155829\pi$
$929$	38.2931	+	13.9375i	1.25635	+	0.457276i	0.373810	+	0.927505i	$0.378051\pi$
$930$	0.874281	−	19.2422i	0.0286688	−	0.630975i
$931$	−7.75109	+	7.75109i	−0.254032	+	0.254032i
$932$	−1.36728	+	15.6281i	−0.0447867	+	0.511914i
$933$	4.78433	−	8.28670i	0.156632	−	0.271294i
$934$	4.07398	+	11.1932i	0.133305	+	0.366252i
$935$	41.2056	+	9.21166i	1.34757	+	0.301254i
$936$	−1.99807	−	1.15359i	−0.0653090	−	0.0377062i
$937$	20.6779	+	29.5312i	0.675519	+	0.964741i	0.999823	+	0.0187882i	$0.00598081\pi$
$937$	20.6779	+	29.5312i	0.675519	+	0.964741i	−0.324305	+	0.945953i	$0.605130\pi$
$938$	2.98844	+	1.08770i	0.0975759	+	0.0355147i
$939$	31.9851	+	8.57037i	1.04379	+	0.279683i
$940$	15.2617	−	19.8166i	0.497781	−	0.646347i
$941$	2.40282	+	2.01621i	0.0783298	+	0.0657265i	0.681112	−	0.732179i	$-0.261497\pi$
$941$	2.40282	+	2.01621i	0.0783298	+	0.0657265i	−0.602782	+	0.797906i	$0.705941\pi$
$942$	6.34889	+	17.4434i	0.206858	+	0.568338i
$943$	48.5290	−	8.55698i	1.58032	−	0.278654i
$944$	2.08178	−	2.97308i	0.0677560	−	0.0967657i
$945$	−6.01789	+	14.4560i	−0.195762	+	0.470254i
$946$	−7.05544	+	8.40835i	−0.229392	+	0.273379i
$947$	−2.80926	+	3.34794i	−0.0912886	+	0.108793i	−0.809755	−	0.586768i	$-0.800400\pi$
$947$	−2.80926	+	3.34794i	−0.0912886	+	0.108793i	0.718466	+	0.695562i	$0.244844\pi$
$948$	6.07690	+	10.5255i	0.197368	+	0.341852i
$949$	−64.6359	+	30.1402i	−2.09817	+	0.978393i
$950$	6.54214	+	7.85295i	0.212255	+	0.254783i
$951$	12.4385	−	21.5441i	0.403346	−	0.698615i
$952$	1.58638	−	5.92045i	0.0514149	−	0.191883i
$953$	15.0894	−	32.3594i	0.488795	−	1.04822i	−0.494994	−	0.868896i	$-0.664830\pi$
$953$	15.0894	−	32.3594i	0.488795	−	1.04822i	0.983789	−	0.179328i	$-0.0573923\pi$
$954$	−0.163763	−	0.611173i	−0.00530203	−	0.0197874i
$955$	−38.7473	−	42.4359i	−1.25383	−	1.37319i
$956$	−4.38402	−	4.38402i	−0.141789	−	0.141789i
$957$	−1.96866	+	1.65190i	−0.0636377	+	0.0533983i
$958$	11.5036	+	24.6695i	0.371664	+	0.797036i
$959$	−3.32098	+	0.585578i	−0.107240	+	0.0189093i
$960$	−3.58624	−	0.478601i	−0.115745	−	0.0154468i
$961$		−	2.65622i		−	0.0856844i
$962$	33.0425	+	16.0670i	1.06533	+	0.518021i
$963$	5.51024	+	5.51024i	0.177565	+	0.177565i
$964$	−0.722062	−	1.03121i	−0.0232561	−	0.0332131i
$965$	−45.6895	−	29.2213i	−1.47080	−	0.940668i
$966$	3.70183	−	10.1707i	0.119104	−	0.327237i
$967$	−16.5734	−	19.7515i	−0.532966	−	0.635164i	0.430630	−	0.902529i	$-0.358292\pi$
$967$	−16.5734	−	19.7515i	−0.532966	−	0.635164i	−0.963595	+	0.267365i	$0.913847\pi$
$968$	4.54249			0.146001
$969$	−10.1831	−	12.1357i	−0.327127	−	0.389855i
$970$	24.5292	−	7.68629i	0.787585	−	0.246792i
$971$	34.8077	−	12.6690i	1.11703	−	0.406566i	0.283464	−	0.958983i	$-0.408516\pi$
$971$	34.8077	−	12.6690i	1.11703	−	0.406566i	0.833568	+	0.552417i	$0.186294\pi$
$972$	3.80985	+	1.02085i	0.122201	+	0.0327437i
$973$	1.25908	+	4.69893i	0.0403641	+	0.150641i
$974$	−40.5987	−	7.15864i	−1.30087	−	0.229378i
$975$	−24.2835	−	42.4064i	−0.777694	−	1.35809i
$976$	−2.07081	+	7.72838i	−0.0662851	+	0.247379i
$977$	43.4498	+	36.4587i	1.39008	+	1.16642i	0.965307	+	0.261118i	$0.0840912\pi$
$977$	43.4498	+	36.4587i	1.39008	+	1.16642i	0.424775	+	0.905299i	$0.360353\pi$
$978$	0.930028	+	10.6303i	0.0297390	+	0.339918i
$979$	−25.8973	−	12.0761i	−0.827680	−	0.385954i
$980$	−6.46044	+	10.1013i	−0.206371	+	0.322675i
$981$	−4.09162	−	2.86499i	−0.130636	−	0.0914720i
$982$	24.3745	−	8.87159i	0.777821	−	0.283104i
$983$	−31.7868	+	2.78098i	−1.01384	+	0.0886996i	−0.581949	−	0.813226i	$-0.697710\pi$
$983$	−31.7868	+	2.78098i	−1.01384	+	0.0886996i	−0.431892	+	0.901925i	$0.642154\pi$
$984$	1.32944	+	15.1955i	0.0423809	+	0.484416i
$985$	27.6004	−	17.5148i	0.879423	−	0.558067i
$986$	−0.815487	−	1.74882i	−0.0259704	−	0.0556937i
$987$	−18.9728	+	13.2849i	−0.603911	+	0.422863i
$988$	11.9268	−	3.19579i	0.379443	−	0.101671i
$989$	−7.27668	−	12.6036i	−0.231385	−	0.400770i
$990$	1.29407	−	3.10859i	0.0411284	−	0.0987974i
$991$	12.2180	−	3.27380i	0.388117	−	0.103996i	−0.0594833	−	0.998229i	$-0.518945\pi$
$991$	12.2180	−	3.27380i	0.388117	−	0.103996i	0.447601	+	0.894234i	$0.352279\pi$
$992$	5.30363	+	0.464007i	0.168390	+	0.0147323i
$993$		−	2.67189i		−	0.0847898i
$994$	−1.47685	+	16.8805i	−0.0468429	+	0.535417i
$995$	−9.24069	+	29.1277i	−0.292949	+	0.923411i
$996$	0.316319	+	1.79393i	0.0100229	+	0.0568430i
$997$	16.8080	+	2.96371i	0.532315	+	0.0938615i	0.433344	−	0.901229i	$-0.357334\pi$
$997$	16.8080	+	2.96371i	0.532315	+	0.0938615i	0.0989715	+	0.995090i	$0.468445\pi$
$998$	−27.5561	+	27.5561i	−0.872272	+	0.872272i
$999$	−32.6817	−	6.31211i	−1.03400	−	0.199706i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.ba.b.283.8	yes	120
5.2	odd	4		370.2.bd.b.357.8	yes	120
37.17	odd	36		370.2.bd.b.313.8	yes	120
185.17	even	36	inner	370.2.ba.b.17.8	✓	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.ba.b.17.8	✓	120	185.17	even	36	inner
370.2.ba.b.283.8	yes	120	1.1	even	1	trivial
370.2.bd.b.313.8	yes	120	37.17	odd	36
370.2.bd.b.357.8	yes	120	5.2	odd	4

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.ba (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.173648 + 0.984808i) q^{2} +(1.32542 + 0.928067i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.101493 - 2.23376i) q^{5} +(-1.14412 + 1.14412i) q^{6} +(0.111534 - 1.27484i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-0.130639 - 0.358928i) q^{9} +O(q^{10})\)	\(q+(-0.173648 + 0.984808i) q^{2} +(1.32542 + 0.928067i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.101493 - 2.23376i) q^{5} +(-1.14412 + 1.14412i) q^{6} +(0.111534 - 1.27484i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-0.130639 - 0.358928i) q^{9} +(2.18220 + 0.487840i) q^{10} +(3.41422 + 1.97120i) q^{11} +(-0.928067 - 1.32542i) q^{12} +(5.67603 + 2.06591i) q^{13} +(1.23610 + 0.331212i) q^{14} +(2.20760 - 2.86648i) q^{15} +(0.766044 + 0.642788i) q^{16} +(1.63815 + 4.50077i) q^{17} +(0.376161 - 0.0663273i) q^{18} +(-1.17250 + 1.67451i) q^{19} +(-0.859364 + 2.06434i) q^{20} +(1.33096 - 1.58618i) q^{21} +(-2.53412 + 3.02005i) q^{22} +(-2.61359 - 4.52686i) q^{23} +(1.46644 - 0.683811i) q^{24} +(-4.97940 - 0.453421i) q^{25} +(-3.02015 + 5.23106i) q^{26} +(1.41629 - 5.28568i) q^{27} +(-0.540827 + 1.15981i) q^{28} +(0.104271 + 0.389145i) q^{29} +(2.43958 + 2.67182i) q^{30} +(-3.76456 - 3.76456i) q^{31} +(-0.766044 + 0.642788i) q^{32} +(2.69585 + 5.78128i) q^{33} +(-4.71685 + 0.831708i) q^{34} +(-2.83636 - 0.378526i) q^{35} +0.381964i q^{36} +(-0.431571 - 6.06743i) q^{37} +(-1.44547 - 1.44547i) q^{38} +(5.60580 + 8.00592i) q^{39} +(-1.88375 - 1.20478i) q^{40} +(-3.22430 + 8.85869i) q^{41} +(1.33096 + 1.58618i) q^{42} +2.78417 q^{43} +(-2.53412 - 3.02005i) q^{44} +(-0.815020 + 0.255389i) q^{45} +(4.91193 - 1.78780i) q^{46} +(-10.8047 - 2.89511i) q^{47} +(0.418778 + 1.56290i) q^{48} +(5.28089 + 0.931163i) q^{49} +(1.31120 - 4.82501i) q^{50} +(-2.00579 + 7.48570i) q^{51} +(-4.62714 - 3.88263i) q^{52} +(-0.144376 - 1.65022i) q^{53} +(4.95944 + 2.31262i) q^{54} +(4.74971 - 7.42649i) q^{55} +(-1.04827 - 0.734009i) q^{56} +(-3.10811 + 1.13126i) q^{57} +(-0.401340 + 0.0351127i) q^{58} +(-0.316329 - 3.61565i) q^{59} +(-3.05486 + 1.93856i) q^{60} +(3.38137 + 7.25138i) q^{61} +(4.36107 - 3.05366i) q^{62} +(-0.472146 + 0.126511i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(5.19082 - 12.4692i) q^{65} +(-6.16158 + 1.65099i) q^{66} +(2.47567 + 0.216593i) q^{67} -4.78962i q^{68} +(0.737141 - 8.42556i) q^{69} +(0.865305 - 2.72754i) q^{70} +(2.29933 + 13.0401i) q^{71} +(-0.376161 - 0.0663273i) q^{72} +(-8.34881 + 8.34881i) q^{73} +(6.05020 + 0.628584i) q^{74} +(-6.17897 - 5.22218i) q^{75} +(1.67451 - 1.17250i) q^{76} +(2.89376 - 4.13271i) q^{77} +(-8.85773 + 4.13043i) q^{78} +(-7.48287 - 0.654667i) q^{79} +(1.51358 - 1.64592i) q^{80} +(5.90483 - 4.95474i) q^{81} +(-8.16421 - 4.71361i) q^{82} +(-1.02033 - 0.475790i) q^{83} +(-1.79320 + 1.03530i) q^{84} +(10.2199 - 3.20243i) q^{85} +(-0.483467 + 2.74188i) q^{86} +(-0.222950 + 0.612550i) q^{87} +(3.41422 - 1.97120i) q^{88} +(-7.22041 + 0.631704i) q^{89} +(-0.109982 - 0.846986i) q^{90} +(3.26676 - 7.00559i) q^{91} +(0.907689 + 5.14776i) q^{92} +(-1.49585 - 8.48337i) q^{93} +(4.72735 - 10.1378i) q^{94} +(3.62145 + 2.78904i) q^{95} +(-1.61188 + 0.141021i) q^{96} +(9.95561 - 5.74787i) q^{97} +(-1.83403 + 5.03896i) q^{98} +(0.261488 - 1.48297i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q - 6 q^{3} - 6 q^{5} + 60 q^{8}+O(q^{10}) \) 120 * q - 6 * q^3 - 6 * q^5 + 60 * q^8	\( 120 q - 6 q^{3} - 6 q^{5} + 60 q^{8} + 12 q^{10} - 36 q^{11} - 6 q^{12} - 6 q^{13} + 12 q^{14} - 24 q^{15} - 12 q^{19} + 12 q^{20} + 42 q^{21} + 6 q^{22} + 6 q^{24} + 6 q^{25} + 6 q^{26} + 6 q^{27} - 36 q^{30} - 18 q^{33} - 30 q^{35} + 12 q^{37} - 48 q^{38} - 12 q^{40} - 30 q^{41} + 42 q^{42} + 6 q^{44} - 30 q^{45} - 6 q^{46} + 12 q^{47} - 60 q^{49} - 48 q^{50} + 12 q^{51} - 6 q^{52} + 12 q^{53} + 18 q^{54} + 36 q^{57} + 6 q^{58} - 24 q^{59} + 54 q^{60} - 72 q^{61} + 6 q^{62} + 96 q^{63} - 60 q^{64} - 18 q^{65} - 42 q^{67} - 96 q^{69} - 12 q^{70} - 90 q^{73} + 24 q^{74} - 60 q^{75} + 18 q^{76} + 6 q^{77} + 24 q^{78} - 18 q^{79} + 6 q^{80} - 108 q^{81} - 36 q^{82} + 48 q^{83} + 36 q^{85} + 24 q^{86} + 108 q^{87} - 36 q^{88} + 54 q^{89} - 6 q^{90} + 42 q^{91} - 12 q^{92} - 12 q^{93} - 18 q^{94} - 198 q^{95} - 12 q^{96} - 72 q^{97} + 48 q^{98} + 42 q^{99}+O(q^{100}) \) 120 * q - 6 * q^3 - 6 * q^5 + 60 * q^8 + 12 * q^10 - 36 * q^11 - 6 * q^12 - 6 * q^13 + 12 * q^14 - 24 * q^15 - 12 * q^19 + 12 * q^20 + 42 * q^21 + 6 * q^22 + 6 * q^24 + 6 * q^25 + 6 * q^26 + 6 * q^27 - 36 * q^30 - 18 * q^33 - 30 * q^35 + 12 * q^37 - 48 * q^38 - 12 * q^40 - 30 * q^41 + 42 * q^42 + 6 * q^44 - 30 * q^45 - 6 * q^46 + 12 * q^47 - 60 * q^49 - 48 * q^50 + 12 * q^51 - 6 * q^52 + 12 * q^53 + 18 * q^54 + 36 * q^57 + 6 * q^58 - 24 * q^59 + 54 * q^60 - 72 * q^61 + 6 * q^62 + 96 * q^63 - 60 * q^64 - 18 * q^65 - 42 * q^67 - 96 * q^69 - 12 * q^70 - 90 * q^73 + 24 * q^74 - 60 * q^75 + 18 * q^76 + 6 * q^77 + 24 * q^78 - 18 * q^79 + 6 * q^80 - 108 * q^81 - 36 * q^82 + 48 * q^83 + 36 * q^85 + 24 * q^86 + 108 * q^87 - 36 * q^88 + 54 * q^89 - 6 * q^90 + 42 * q^91 - 12 * q^92 - 12 * q^93 - 18 * q^94 - 198 * q^95 - 12 * q^96 - 72 * q^97 + 48 * q^98 + 42 * q^99

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