LMFDB - Embedded newform 588.2.ba.a.103.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(103,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([21, 0, 29]))

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

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

chi := DirichletCharacter("588.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.ba (of order $42$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$336$
Relative dimension:	$28$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			103.16
Character	$\chi$	$=$	588.103
Dual form			588.2.ba.a.451.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0278575 - 1.41394i) q^{2} +(-0.826239 - 0.563320i) q^{3} +(-1.99845 - 0.0787776i) q^{4} +(4.26189 + 0.319384i) q^{5} +(-0.819517 + 1.15256i) q^{6} +(0.230798 - 2.63567i) q^{7} +(-0.167058 + 2.82349i) q^{8} +(0.365341 + 0.930874i) q^{9} +O(q^{10})$	\(q+(0.0278575 - 1.41394i) q^{2} +(-0.826239 - 0.563320i) q^{3} +(-1.99845 - 0.0787776i) q^{4} +(4.26189 + 0.319384i) q^{5} +(-0.819517 + 1.15256i) q^{6} +(0.230798 - 2.63567i) q^{7} +(-0.167058 + 2.82349i) q^{8} +(0.365341 + 0.930874i) q^{9} +(0.570316 - 6.01715i) q^{10} +(4.47543 + 1.75648i) q^{11} +(1.60682 + 1.19085i) q^{12} +(-0.292416 + 0.233194i) q^{13} +(-3.72024 - 0.399757i) q^{14} +(-3.34142 - 2.66469i) q^{15} +(3.98759 + 0.314866i) q^{16} +(2.90913 + 3.13530i) q^{17} +(1.32638 - 0.490638i) q^{18} +(-0.449175 + 0.777994i) q^{19} +(-8.49200 - 0.974014i) q^{20} +(-1.67542 + 2.04768i) q^{21} +(2.60822 - 6.27905i) q^{22} +(-0.932936 + 1.00547i) q^{23} +(1.72856 - 2.23877i) q^{24} +(13.1175 + 1.97715i) q^{25} +(0.321576 + 0.419954i) q^{26} +(0.222521 - 0.974928i) q^{27} +(-0.668868 + 5.24906i) q^{28} +(-1.96628 - 8.61483i) q^{29} +(-3.86080 + 4.65034i) q^{30} +(-2.07503 - 3.59407i) q^{31} +(0.556285 - 5.62944i) q^{32} +(-2.70831 - 3.97237i) q^{33} +(4.51417 - 4.02600i) q^{34} +(1.82542 - 11.1592i) q^{35} +(-0.656783 - 1.88908i) q^{36} +(-8.29267 - 2.55795i) q^{37} +(1.08752 + 0.656779i) q^{38} +(0.372968 - 0.0279501i) q^{39} +(-1.61376 + 11.9800i) q^{40} +(0.923749 + 1.91818i) q^{41} +(2.84862 + 2.42598i) q^{42} +(-3.12480 + 6.48871i) q^{43} +(-8.80554 - 3.86279i) q^{44} +(1.25974 + 4.08396i) q^{45} +(1.39568 + 1.34712i) q^{46} +(-5.85671 + 0.882757i) q^{47} +(-3.11733 - 2.50644i) q^{48} +(-6.89346 - 1.21661i) q^{49} +(3.16099 - 18.4923i) q^{50} +(-0.637462 - 4.22928i) q^{51} +(0.602748 - 0.442990i) q^{52} +(-3.67228 + 1.13275i) q^{53} +(-1.37229 - 0.341790i) q^{54} +(18.5128 + 8.91529i) q^{55} +(7.40322 + 1.09196i) q^{56} +(0.809385 - 0.389779i) q^{57} +(-12.2356 + 2.54021i) q^{58} +(-0.425007 - 5.67133i) q^{59} +(6.46774 + 5.58848i) q^{60} +(-2.07426 + 6.72458i) q^{61} +(-5.13960 + 2.83385i) q^{62} +(2.53779 - 0.748073i) q^{63} +(-7.94418 - 0.943376i) q^{64} +(-1.32072 + 0.900453i) q^{65} +(-5.69213 + 3.71873i) q^{66} +(3.66300 - 2.11484i) q^{67} +(-5.56676 - 6.49491i) q^{68} +(1.33723 - 0.305213i) q^{69} +(-15.7276 - 2.89191i) q^{70} +(-4.08028 - 0.931298i) q^{71} +(-2.68935 + 0.876026i) q^{72} +(1.53982 - 10.2160i) q^{73} +(-3.84780 + 11.6541i) q^{74} +(-9.72444 - 9.02297i) q^{75} +(0.958941 - 1.51939i) q^{76} +(5.66240 - 11.3903i) q^{77} +(-0.0291298 - 0.528133i) q^{78} +(10.7322 + 6.19626i) q^{79} +(16.8941 + 2.61550i) q^{80} +(-0.733052 + 0.680173i) q^{81} +(2.73793 - 1.25269i) q^{82} +(-4.97396 + 6.23714i) q^{83} +(3.50954 - 3.96019i) q^{84} +(11.3970 + 14.2914i) q^{85} +(9.08760 + 4.59904i) q^{86} +(-3.22829 + 8.22555i) q^{87} +(-5.70705 + 12.3429i) q^{88} +(14.1952 - 5.57119i) q^{89} +(5.80957 - 1.66742i) q^{90} +(0.547132 + 0.824531i) q^{91} +(1.94363 - 1.93588i) q^{92} +(-0.310135 + 4.13846i) q^{93} +(1.08501 + 8.30562i) q^{94} +(-2.16281 + 3.17226i) q^{95} +(-3.63080 + 4.33789i) q^{96} -2.63385i q^{97} +(-1.91225 + 9.71305i) q^{98} +4.80777i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9}+O(q^{10}) $ 336 * q - 28 * q^3 + 2 * q^7 - 6 * q^8 + 28 * q^9	$ 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9} + 41 q^{10} + 6 q^{11} + 52 q^{14} + 20 q^{16} - 6 q^{19} - 25 q^{20} + 4 q^{21} + 6 q^{22} + 9 q^{24} - 26 q^{25} - 18 q^{26} + 56 q^{27} + 5 q^{30} + 2 q^{31} + 15 q^{32} + 6 q^{33} + 44 q^{34} - 12 q^{35} + 16 q^{37} - 100 q^{38} + 8 q^{39} - 7 q^{40} - 7 q^{42} - 53 q^{44} - 10 q^{46} + 4 q^{47} + 8 q^{48} - 4 q^{49} - 114 q^{50} - 28 q^{52} - 4 q^{53} + q^{56} - 12 q^{57} + 27 q^{58} - 10 q^{59} - 7 q^{60} + 2 q^{61} - 16 q^{62} - 12 q^{63} - 84 q^{64} - 4 q^{65} + 21 q^{66} + 42 q^{67} + 26 q^{68} - 70 q^{70} + 28 q^{71} + 15 q^{72} + 18 q^{73} + 20 q^{74} + 54 q^{75} + 49 q^{76} - 8 q^{77} - 6 q^{78} - 6 q^{79} - 40 q^{80} + 28 q^{81} - 99 q^{82} + 10 q^{83} + 54 q^{84} + 24 q^{85} - 314 q^{86} - 40 q^{88} + 20 q^{90} - 34 q^{91} + 14 q^{92} - 2 q^{93} - 152 q^{94} - 24 q^{95} - 10 q^{96} - 156 q^{98}+O(q^{100}) $ 336 * q - 28 * q^3 + 2 * q^7 - 6 * q^8 + 28 * q^9 + 41 * q^10 + 6 * q^11 + 52 * q^14 + 20 * q^16 - 6 * q^19 - 25 * q^20 + 4 * q^21 + 6 * q^22 + 9 * q^24 - 26 * q^25 - 18 * q^26 + 56 * q^27 + 5 * q^30 + 2 * q^31 + 15 * q^32 + 6 * q^33 + 44 * q^34 - 12 * q^35 + 16 * q^37 - 100 * q^38 + 8 * q^39 - 7 * q^40 - 7 * q^42 - 53 * q^44 - 10 * q^46 + 4 * q^47 + 8 * q^48 - 4 * q^49 - 114 * q^50 - 28 * q^52 - 4 * q^53 + q^56 - 12 * q^57 + 27 * q^58 - 10 * q^59 - 7 * q^60 + 2 * q^61 - 16 * q^62 - 12 * q^63 - 84 * q^64 - 4 * q^65 + 21 * q^66 + 42 * q^67 + 26 * q^68 - 70 * q^70 + 28 * q^71 + 15 * q^72 + 18 * q^73 + 20 * q^74 + 54 * q^75 + 49 * q^76 - 8 * q^77 - 6 * q^78 - 6 * q^79 - 40 * q^80 + 28 * q^81 - 99 * q^82 + 10 * q^83 + 54 * q^84 + 24 * q^85 - 314 * q^86 - 40 * q^88 + 20 * q^90 - 34 * q^91 + 14 * q^92 - 2 * q^93 - 152 * q^94 - 24 * q^95 - 10 * q^96 - 156 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{29}{42}\right)$

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 $

$2$	0.0278575	−	1.41394i	0.0196982	−	0.999806i
$2$	0.0278575	−	1.41394i	0.0196982	−	0.999806i
$3$	−0.826239	−	0.563320i	−0.477029	−	0.325233i
$3$	−0.826239	−	0.563320i	−0.477029	−	0.325233i
$4$	−1.99845	−	0.0787776i	−0.999224	−	0.0393888i
$5$	4.26189	+	0.319384i	1.90597	+	0.142833i	0.974993	−	0.222234i	$-0.0713350\pi$
$5$	4.26189	+	0.319384i	1.90597	+	0.142833i	0.930981	+	0.365067i	$0.118954\pi$
$6$	−0.819517	+	1.15256i	−0.334567	+	0.470530i
$7$	0.230798	−	2.63567i	0.0872333	−	0.996188i
$7$	0.230798	−	2.63567i	0.0872333	−	0.996188i
$8$	−0.167058	+	2.82349i	−0.0590641	+	0.998254i
$9$	0.365341	+	0.930874i	0.121780	+	0.310291i
$10$	0.570316	−	6.01715i	0.180350	−	1.90279i
$11$	4.47543	+	1.75648i	1.34939	+	0.529598i	0.926402	−	0.376536i	$-0.122885\pi$
$11$	4.47543	+	1.75648i	1.34939	+	0.529598i	0.422991	+	0.906134i	$0.360980\pi$
$12$	1.60682	+	1.19085i	0.463848	+	0.343770i
$13$	−0.292416	+	0.233194i	−0.0811015	+	0.0646763i	−0.663201	−	0.748441i	$-0.730803\pi$
$13$	−0.292416	+	0.233194i	−0.0811015	+	0.0646763i	0.582100	+	0.813117i	$0.302231\pi$
$14$	−3.72024	−	0.399757i	−0.994276	−	0.106840i
$15$	−3.34142	−	2.66469i	−0.862751	−	0.688021i
$16$	3.98759	+	0.314866i	0.996897	+	0.0787165i
$17$	2.90913	+	3.13530i	0.705569	+	0.760422i	0.979526	−	0.201320i	$-0.0645230\pi$
$17$	2.90913	+	3.13530i	0.705569	+	0.760422i	−0.273957	+	0.961742i	$0.588333\pi$
$18$	1.32638	−	0.490638i	0.312630	−	0.115645i
$19$	−0.449175	+	0.777994i	−0.103048	+	0.178484i	−0.912939	−	0.408096i	$-0.866193\pi$
$19$	−0.449175	+	0.777994i	−0.103048	+	0.178484i	0.809891	+	0.586580i	$0.199526\pi$
$20$	−8.49200	−	0.974014i	−1.89887	−	0.217796i
$21$	−1.67542	+	2.04768i	−0.365606	+	0.446840i
$22$	2.60822	−	6.27905i	0.556075	−	1.33870i
$23$	−0.932936	+	1.00547i	−0.194531	+	0.209654i	−0.822783	−	0.568355i	$-0.807580\pi$
$23$	−0.932936	+	1.00547i	−0.194531	+	0.209654i	0.628253	+	0.778009i	$0.283770\pi$
$24$	1.72856	−	2.23877i	0.352840	−	0.456987i
$25$	13.1175	+	1.97715i	2.62351	+	0.395430i
$26$	0.321576	+	0.419954i	0.0630662	+	0.0823598i
$27$	0.222521	−	0.974928i	0.0428242	−	0.187625i
$28$	−0.668868	+	5.24906i	−0.126404	+	0.991979i
$29$	−1.96628	−	8.61483i	−0.365129	−	1.59973i	−0.739967	−	0.672643i	$-0.765159\pi$
$29$	−1.96628	−	8.61483i	−0.365129	−	1.59973i	0.374839	−	0.927090i	$-0.377698\pi$
$30$	−3.86080	+	4.65034i	−0.704882	+	0.849031i
$31$	−2.07503	−	3.59407i	−0.372687	−	0.645513i	0.617291	−	0.786735i	$-0.288230\pi$
$31$	−2.07503	−	3.59407i	−0.372687	−	0.645513i	−0.989978	+	0.141222i	$0.954897\pi$
$32$	0.556285	−	5.62944i	0.0983383	−	0.995153i
$33$	−2.70831	−	3.97237i	−0.471457	−	0.691500i
$34$	4.51417	−	4.02600i	0.774173	−	0.690453i
$35$	1.82542	−	11.1592i	0.308553	−	1.88625i
$36$	−0.656783	−	1.88908i	−0.109464	−	0.314847i
$37$	−8.29267	−	2.55795i	−1.36331	−	0.420525i	−0.475085	−	0.879940i	$-0.657583\pi$
$37$	−8.29267	−	2.55795i	−1.36331	−	0.420525i	−0.888222	+	0.459415i	$0.848059\pi$
$38$	1.08752	+	0.656779i	0.176419	+	0.106544i
$39$	0.372968	−	0.0279501i	0.0597227	−	0.00447560i
$40$	−1.61376	+	11.9800i	−0.255158	+	1.89421i
$41$	0.923749	+	1.91818i	0.144265	+	0.299570i	0.960563	−	0.278061i	$-0.0896917\pi$
$41$	0.923749	+	1.91818i	0.144265	+	0.299570i	−0.816298	+	0.577631i	$0.803977\pi$
$42$	2.84862	+	2.42598i	0.439551	+	0.374337i
$43$	−3.12480	+	6.48871i	−0.476528	+	0.989520i	0.514702	+	0.857369i	$0.327903\pi$
$43$	−3.12480	+	6.48871i	−0.476528	+	0.989520i	−0.991230	+	0.132151i	$0.957812\pi$
$44$	−8.80554	−	3.86279i	−1.32749	−	0.582338i
$45$	1.25974	+	4.08396i	0.187790	+	0.608801i
$46$	1.39568	+	1.34712i	0.205782	+	0.198623i
$47$	−5.85671	+	0.882757i	−0.854289	+	0.128763i	−0.561564	−	0.827433i	$-0.689800\pi$
$47$	−5.85671	+	0.882757i	−0.854289	+	0.128763i	−0.292725	+	0.956197i	$0.594562\pi$
$48$	−3.11733	−	2.50644i	−0.449948	−	0.361774i
$49$	−6.89346	−	1.21661i	−0.984781	−	0.173802i
$50$	3.16099	−	18.4923i	0.447032	−	2.61521i
$51$	−0.637462	−	4.22928i	−0.0892625	−	0.592218i
$52$	0.602748	−	0.442990i	0.0835861	−	0.0614316i
$53$	−3.67228	+	1.13275i	−0.504426	+	0.155595i	−0.536516	−	0.843890i	$-0.680260\pi$
$53$	−3.67228	+	1.13275i	−0.504426	+	0.155595i	0.0320900	+	0.999485i	$0.489784\pi$
$54$	−1.37229	−	0.341790i	−0.186745	−	0.0465117i
$55$	18.5128	+	8.91529i	2.49626	+	1.20214i
$56$	7.40322	+	1.09196i	0.989296	+	0.145920i
$57$	0.809385	−	0.389779i	0.107206	−	0.0516275i
$58$	−12.2356	+	2.54021i	−1.60661	+	0.333546i
$59$	−0.425007	−	5.67133i	−0.0553312	−	0.738344i	−0.954017	−	0.299752i	$-0.903096\pi$
$59$	−0.425007	−	5.67133i	−0.0553312	−	0.738344i	0.898686	−	0.438593i	$-0.144523\pi$
$60$	6.46774	+	5.58848i	0.834981	+	0.721470i
$61$	−2.07426	+	6.72458i	−0.265582	+	0.860995i	0.720316	+	0.693646i	$0.243997\pi$
$61$	−2.07426	+	6.72458i	−0.265582	+	0.860995i	−0.985898	+	0.167349i	$0.946479\pi$
$62$	−5.13960	+	2.83385i	−0.652729	+	0.359899i
$63$	2.53779	−	0.748073i	0.319732	−	0.0942484i
$64$	−7.94418	−	0.943376i	−0.993023	−	0.117922i
$65$	−1.32072	+	0.900453i	−0.163815	+	0.111687i
$66$	−5.69213	+	3.71873i	−0.700653	+	0.457744i
$67$	3.66300	−	2.11484i	0.447507	−	0.258368i	−0.259270	−	0.965805i	$-0.583482\pi$
$67$	3.66300	−	2.11484i	0.447507	−	0.258368i	0.706777	+	0.707437i	$0.250149\pi$
$68$	−5.56676	−	6.49491i	−0.675069	−	0.787624i
$69$	1.33723	−	0.305213i	0.160983	−	0.0367434i
$70$	−15.7276	−	2.89191i	−1.87980	−	0.345649i
$71$	−4.08028	−	0.931298i	−0.484240	−	0.110525i	−0.0265705	−	0.999647i	$-0.508459\pi$
$71$	−4.08028	−	0.931298i	−0.484240	−	0.110525i	−0.457670	+	0.889122i	$0.651316\pi$
$72$	−2.68935	+	0.876026i	−0.316942	+	0.103241i
$73$	1.53982	−	10.2160i	0.180222	−	1.19570i	−0.697520	−	0.716565i	$-0.745713\pi$
$73$	1.53982	−	10.2160i	0.180222	−	1.19570i	0.877742	−	0.479133i	$-0.159049\pi$
$74$	−3.84780	+	11.6541i	−0.447298	+	1.35476i
$75$	−9.72444	−	9.02297i	−1.12288	−	1.04188i
$76$	0.958941	−	1.51939i	0.109998	−	0.174287i
$77$	5.66240	−	11.3903i	0.645291	−	1.29805i
$78$	−0.0291298	−	0.528133i	−0.00329830	−	0.0597992i
$79$	10.7322	+	6.19626i	1.20747	+	0.697133i	0.962206	−	0.272323i	$-0.0877918\pi$
$79$	10.7322	+	6.19626i	1.20747	+	0.697133i	0.245265	+	0.969456i	$0.421125\pi$
$80$	16.8941	+	2.61550i	1.88882	+	0.292421i
$81$	−0.733052	+	0.680173i	−0.0814502	+	0.0755747i
$82$	2.73793	−	1.25269i	0.302354	−	0.138336i
$83$	−4.97396	+	6.23714i	−0.545963	+	0.684615i	−0.975894	−	0.218246i	$-0.929966\pi$
$83$	−4.97396	+	6.23714i	−0.545963	+	0.684615i	0.429931	+	0.902862i	$0.358538\pi$
$84$	3.50954	−	3.96019i	0.382923	−	0.432092i
$85$	11.3970	+	14.2914i	1.23618	+	1.55012i
$86$	9.08760	+	4.59904i	0.979941	+	0.495927i
$87$	−3.22829	+	8.22555i	−0.346109	+	0.881871i
$88$	−5.70705	+	12.3429i	−0.608374	+	1.31576i
$89$	14.1952	−	5.57119i	1.50468	−	0.590545i	0.537194	−	0.843459i	$-0.319484\pi$
$89$	14.1952	−	5.57119i	1.50468	−	0.590545i	0.967489	+	0.252914i	$0.0813890\pi$
$90$	5.80957	−	1.66742i	0.612382	−	0.175762i
$91$	0.547132	+	0.824531i	0.0573550	+	0.0864343i
$92$	1.94363	−	1.93588i	0.202638	−	0.201829i
$93$	−0.310135	+	4.13846i	−0.0321595	+	0.429139i
$94$	1.08501	+	8.30562i	0.111910	+	0.856660i
$95$	−2.16281	+	3.17226i	−0.221900	+	0.325467i
$96$	−3.63080	+	4.33789i	−0.370567	+	0.442734i
$97$		−	2.63385i		−	0.267427i	−0.991020	−	0.133713i	$-0.957310\pi$
$97$		−	2.63385i		−	0.267427i	0.991020	−	0.133713i	$-0.0426902\pi$
$98$	−1.91225	+	9.71305i	−0.193166	+	0.981166i
$99$			4.80777i			0.483199i
$100$	−26.0589	−	4.98460i	−2.60589	−	0.498460i
$101$	3.38882	−	4.97048i	0.337200	−	0.494581i	−0.619764	−	0.784788i	$-0.712772\pi$
$101$	3.38882	−	4.97048i	0.337200	−	0.494581i	0.956964	+	0.290207i	$0.0937241\pi$
$102$	−5.99770	+	0.783515i	−0.593861	+	0.0775795i
$103$	−0.618068	+	8.24754i	−0.0609000	+	0.812654i	0.880217	+	0.474572i	$0.157397\pi$
$103$	−0.618068	+	8.24754i	−0.0609000	+	0.812654i	−0.941117	+	0.338082i	$0.890222\pi$
$104$	−0.609570	−	0.864590i	−0.0597732	−	0.0847800i
$105$	−7.79444	+	8.19186i	−0.760659	+	0.799444i
$106$	1.49934	+	5.22393i	0.145628	+	0.507393i
$107$	−5.09082	+	1.99800i	−0.492148	+	0.193154i	−0.598419	−	0.801183i	$-0.704204\pi$
$107$	−5.09082	+	1.99800i	−0.492148	+	0.193154i	0.106271	+	0.994337i	$0.466109\pi$
$108$	−0.521499	+	1.93081i	−0.0501813	+	0.185793i
$109$	−1.63888	+	4.17580i	−0.156976	+	0.399969i	−0.987626	−	0.156826i	$-0.949874\pi$
$109$	−1.63888	+	4.17580i	−0.156976	+	0.399969i	0.830650	+	0.556795i	$0.187969\pi$
$110$	13.1214	−	25.9276i	1.25108	−	2.47210i
$111$	5.41078	+	6.78491i	0.513569	+	0.643995i
$112$	1.75021	−	10.4373i	0.165379	−	0.986230i
$113$	−3.73568	+	4.68439i	−0.351423	+	0.440670i	−0.925853	−	0.377883i	$-0.876652\pi$
$113$	−3.73568	+	4.68439i	−0.351423	+	0.440670i	0.574430	+	0.818553i	$0.305224\pi$
$114$	−0.528577	−	1.15528i	−0.0495058	−	0.108202i
$115$	−4.29720	+	3.98722i	−0.400716	+	0.371810i
$116$	3.25085	+	17.3712i	0.301834	+	1.61287i
$117$	−0.323905	−	0.187007i	−0.0299451	−	0.0172888i
$118$	−8.03075	+	0.442946i	−0.739291	+	0.0407764i
$119$	8.93503	−	6.94388i	0.819073	−	0.636545i
$120$	8.08195	−	8.98931i	0.737778	−	0.820608i
$121$	8.88068	+	8.24007i	0.807335	+	0.749097i
$122$	9.45037	+	3.12021i	0.855596	+	0.282490i
$123$	0.317314	−	2.10524i	0.0286113	−	0.189823i
$124$	3.86372	+	7.34602i	0.346972	+	0.659692i
$125$	34.4406	+	7.86083i	3.08046	+	0.703094i
$126$	−0.987034	−	3.60912i	−0.0879319	−	0.321526i
$127$	−19.8778	+	4.53699i	−1.76387	+	0.402592i	−0.976780	−	0.214243i	$-0.931271\pi$
$127$	−19.8778	+	4.53699i	−1.76387	+	0.402592i	−0.787092	+	0.616836i	$0.788414\pi$
$128$	−1.55518	+	11.2063i	−0.137460	+	0.990507i
$129$	6.23705	−	3.60096i	0.549142	−	0.317047i
$130$	1.23639	+	1.89250i	0.108439	+	0.165984i
$131$	0.120520	−	0.0821689i	0.0105299	−	0.00717913i	−0.558044	−	0.829812i	$-0.688448\pi$
$131$	0.120520	−	0.0821689i	0.0105299	−	0.00717913i	0.568574	+	0.822632i	$0.307495\pi$
$132$	5.09949	+	8.15192i	0.443854	+	0.709534i
$133$	1.94686	+	1.36343i	0.168814	+	0.118225i
$134$	−2.88821	−	5.23818i	−0.249503	−	0.452510i
$135$	1.25974	−	4.08396i	0.108421	−	0.351492i
$136$	−9.33848	+	7.69013i	−0.800768	+	0.659423i
$137$	0.593872	+	7.92467i	0.0507379	+	0.677050i	0.963354	+	0.268233i	$0.0864396\pi$
$137$	0.593872	+	7.92467i	0.0507379	+	0.677050i	−0.912616	+	0.408817i	$0.865941\pi$
$138$	−0.394301	−	1.89926i	−0.0335652	−	0.161676i
$139$	14.6319	−	7.04635i	1.24106	−	0.597664i	0.305960	−	0.952044i	$-0.401023\pi$
$139$	14.6319	−	7.04635i	1.24106	−	0.597664i	0.935101	+	0.354381i	$0.115308\pi$
$140$	−4.52711	+	22.1573i	−0.382611	+	1.87263i
$141$	5.33632	+	2.56983i	0.449399	+	0.216419i
$142$	−1.43046	+	5.74333i	−0.120042	+	0.481969i
$143$	−1.71829	+	0.530021i	−0.143690	+	0.0443226i
$144$	1.16373	+	3.82697i	0.0969774	+	0.318915i
$145$	−5.62862	−	37.3434i	−0.467431	−	3.10120i
$146$	−14.4020	−	2.46181i	−1.19192	−	0.203741i
$147$	5.01031	+	4.88844i	0.413243	+	0.403192i
$148$	16.3710	+	5.76521i	1.34569	+	0.473897i
$149$	−14.9279	+	2.25001i	−1.22294	+	0.184328i	−0.728599	−	0.684941i	$-0.759828\pi$
$149$	−14.9279	+	2.25001i	−1.22294	+	0.184328i	−0.494339	+	0.869269i	$0.664590\pi$
$150$	−13.0288	+	13.4984i	−1.06380	+	1.10214i
$151$	0.540386	+	1.75189i	0.0439760	+	0.142567i	0.974898	−	0.222651i	$-0.0714709\pi$
$151$	0.540386	+	1.75189i	0.0439760	+	0.142567i	−0.930922	+	0.365217i	$0.880995\pi$
$152$	−2.12162	−	1.39821i	−0.172086	−	0.113410i
$153$	−1.85574	+	3.85349i	−0.150028	+	0.311536i
$154$	−15.9475	−	8.32360i	−1.28509	−	0.670735i
$155$	−7.69568	−	15.9802i	−0.618132	−	1.28356i
$156$	−0.747559	+	0.0264753i	−0.0598526	+	0.00211972i
$157$	5.74401	−	0.430454i	0.458422	−	0.0343540i	0.156482	−	0.987681i	$-0.449985\pi$
$157$	5.74401	−	0.430454i	0.458422	−	0.0343540i	0.301940	+	0.953327i	$0.402366\pi$
$158$	9.06010	−	15.0021i	0.720783	−	1.19350i
$159$	3.67228	+	1.13275i	0.291230	+	0.0898327i
$160$	4.16878	−	23.8144i	0.329571	−	1.88269i
$161$	2.43475	+	2.69097i	0.191885	+	0.212078i
$162$	0.941302	+	1.05544i	0.0739557	+	0.0829231i
$163$	9.04210	+	13.2623i	0.708232	+	1.03879i	0.996690	+	0.0812928i	$0.0259049\pi$
$163$	9.04210	+	13.2623i	0.708232	+	1.03879i	−0.288458	+	0.957492i	$0.593143\pi$
$164$	−1.69495	−	3.90616i	−0.132354	−	0.305020i
$165$	−10.2738	−	17.7948i	−0.799816	−	1.38532i
$166$	8.68038	+	7.20662i	0.673728	+	0.559342i
$167$	−4.58464	−	20.0866i	−0.354770	−	1.55435i	−0.766014	−	0.642824i	$-0.777763\pi$
$167$	−4.58464	−	20.0866i	−0.354770	−	1.55435i	0.411244	−	0.911525i	$-0.365095\pi$
$168$	−5.50170	−	5.07260i	−0.424465	−	0.391360i
$169$	−2.86164	+	12.5377i	−0.220127	+	0.964437i
$170$	20.5247	−	15.7166i	1.57417	−	1.20541i
$171$	−0.888316	−	0.133892i	−0.0679312	−	0.0102390i
$172$	6.75592	−	12.7212i	0.515134	−	0.969982i
$173$	−10.4364	+	11.2477i	−0.793462	+	0.855148i	−0.992168	−	0.124911i	$-0.960136\pi$
$173$	−10.4364	+	11.2477i	−0.793462	+	0.855148i	0.198706	+	0.980059i	$0.436326\pi$
$174$	11.5405	+	4.79375i	0.874882	+	0.363413i
$175$	8.23860	−	34.1171i	0.622780	−	2.57901i
$176$	17.2931	+	8.41326i	1.30352	+	0.634174i
$177$	−2.84362	+	4.92529i	−0.213739	+	0.370207i
$178$	−7.48188	−	20.2263i	−0.560790	−	1.51602i
$179$	2.09704	+	2.26007i	0.156740	+	0.168926i	0.806540	−	0.591180i	$-0.201338\pi$
$179$	2.09704	+	2.26007i	0.156740	+	0.168926i	−0.649800	+	0.760106i	$0.725147\pi$
$180$	−2.19579	−	8.26083i	−0.163665	−	0.615726i
$181$	−0.656880	−	0.523844i	−0.0488255	−	0.0389370i	0.598773	−	0.800919i	$-0.295655\pi$
$181$	−0.656880	−	0.523844i	−0.0488255	−	0.0389370i	−0.647599	+	0.761982i	$0.724227\pi$
$182$	1.18108	−	0.750642i	0.0875473	−	0.0556413i
$183$	5.50193	−	4.38764i	0.406714	−	0.324344i
$184$	−2.68307	−	2.80211i	−0.197798	−	0.206574i
$185$	−34.5255	−	13.5502i	−2.53836	−	0.996234i
$186$	5.84290	+	0.553799i	0.428422	+	0.0406065i
$187$	7.51254	+	19.1416i	0.549371	+	1.39978i
$188$	11.7739	−	1.30277i	0.858698	−	0.0950140i
$189$	−2.51823	−	0.811502i	−0.183174	−	0.0590281i
$190$	4.42514	+	3.14646i	0.321033	+	0.228268i
$191$	−19.2690	−	1.44401i	−1.39425	−	0.104485i	−0.643692	−	0.765285i	$-0.722598\pi$
$191$	−19.2690	−	1.44401i	−1.39425	−	0.104485i	−0.750562	+	0.660800i	$0.770217\pi$
$192$	6.03237	+	5.25457i	0.435349	+	0.379216i
$193$	−11.3792	−	7.75817i	−0.819089	−	0.558446i	0.0797039	−	0.996819i	$-0.474603\pi$
$193$	−11.3792	−	7.75817i	−0.819089	−	0.558446i	−0.898793	+	0.438373i	$0.855555\pi$
$194$	−3.72410	−	0.0733725i	−0.267375	−	0.00526784i
$195$	1.59847			0.114469
$196$	13.6804	+	2.97438i	0.977171	+	0.212456i
$197$	15.0400			1.07156			0.535779	−	0.844358i	$-0.320018\pi$
$197$	15.0400			1.07156			0.535779	+	0.844358i	$0.320018\pi$
$198$	6.79790	+	0.133932i	0.483106	+	0.00951817i
$199$	−0.592071	−	0.403667i	−0.0419708	−	0.0286152i	0.542153	−	0.840280i	$-0.317609\pi$
$199$	−0.592071	−	0.403667i	−0.0419708	−	0.0286152i	−0.584124	+	0.811665i	$0.698562\pi$
$200$	−7.77386	+	36.7069i	−0.549695	+	2.59557i
$201$	−4.21785	−	0.316084i	−0.297504	−	0.0222948i
$202$	−6.93355	−	4.93004i	−0.487843	−	0.346877i
$203$	−23.1596	+	3.19417i	−1.62549	+	0.224187i
$204$	0.940761	+	8.50222i	0.0658664	+	0.595274i
$205$	3.32428	+	8.47012i	0.232177	+	0.591579i
$206$	11.6443	+	1.10367i	0.811297	+	0.0768961i
$207$	−1.27680	−	0.501108i	−0.0887439	−	0.0348294i
$208$	−1.23946	+	0.837809i	−0.0859410	+	0.0580916i
$209$	−3.37678	+	2.69289i	−0.233577	+	0.186271i
$210$	11.3657	+	11.2491i	0.784305	+	0.776259i
$211$	20.2421	+	16.1426i	1.39353	+	1.11130i	0.979593	+	0.200992i	$0.0644164\pi$
$211$	20.2421	+	16.1426i	1.39353	+	1.11130i	0.413932	+	0.910308i	$0.364155\pi$
$212$	7.42809	−	1.97444i	0.510163	−	0.135605i
$213$	2.84667	+	3.06798i	0.195050	+	0.210214i
$214$	2.68323	+	7.25376i	0.183422	+	0.495857i
$215$	−15.3899	+	26.6562i	−1.04959	+	1.81794i
$216$	2.71552	+	0.791155i	0.184768	+	0.0538313i
$217$	−9.95167	+	4.63960i	−0.675563	+	0.314956i
$218$	5.85867	+	2.43360i	0.396799	+	0.164824i
$219$	−7.02716	+	7.57348i	−0.474852	+	0.511769i
$220$	−36.2945	−	19.2751i	−2.44698	−	1.29953i
$221$	−1.58181	−	0.238419i	−0.106404	−	0.0160378i
$222$	9.74418	−	7.46151i	0.653986	−	0.500784i
$223$	−2.36723	+	10.3715i	−0.158521	+	0.694527i	0.831724	+	0.555190i	$0.187354\pi$
$223$	−2.36723	+	10.3715i	−0.158521	+	0.694527i	−0.990245	+	0.139338i	$0.955503\pi$
$224$	−14.7089	−	2.76544i	−0.982781	−	0.184774i
$225$	2.95190	+	12.9331i	0.196793	+	0.862207i
$226$	6.51938	+	5.41252i	0.433663	+	0.360035i
$227$	9.01107	+	15.6076i	0.598086	+	1.03592i	0.993103	+	0.117241i	$0.0374052\pi$
$227$	9.01107	+	15.6076i	0.598086	+	1.03592i	−0.395018	+	0.918674i	$0.629262\pi$
$228$	−1.64822	+	0.715192i	−0.109156	+	0.0473648i
$229$	−0.652774	−	0.957444i	−0.0431365	−	0.0632697i	0.804065	−	0.594542i	$-0.202667\pi$
$229$	−0.652774	−	0.957444i	−0.0431365	−	0.0632697i	−0.847201	+	0.531272i	$0.821714\pi$
$230$	5.51798	+	6.18705i	0.363845	+	0.407962i
$231$	−11.0949	+	6.22140i	−0.729991	+	0.409338i
$232$	24.6524	−	4.11258i	1.61851	−	0.270004i
$233$	−10.9487	−	3.37721i	−0.717270	−	0.221249i	−0.0854265	−	0.996344i	$-0.527225\pi$
$233$	−10.9487	−	3.37721i	−0.717270	−	0.221249i	−0.631844	+	0.775096i	$0.717701\pi$
$234$	−0.273440	+	0.452773i	−0.0178753	+	0.0295987i
$235$	−25.2426	+	1.89167i	−1.64664	+	0.123399i
$236$	0.402581	+	11.3673i	0.0262058	+	0.739951i
$237$	−5.37691	−	11.1653i	−0.349268	−	0.725262i
$238$	−9.56932	−	12.8270i	−0.620287	−	0.831452i
$239$	5.21771	−	10.8347i	0.337506	−	0.700837i	−0.661278	−	0.750141i	$-0.729986\pi$
$239$	5.21771	−	10.8347i	0.337506	−	0.700837i	0.998784	+	0.0493032i	$0.0157001\pi$
$240$	−12.4852	−	11.6778i	−0.805916	−	0.753799i
$241$	−8.22823	−	26.6753i	−0.530027	−	1.71831i	−0.683315	−	0.730124i	$-0.739462\pi$
$241$	−8.22823	−	26.6753i	−0.530027	−	1.71831i	0.153288	−	0.988182i	$-0.451014\pi$
$242$	11.8984	−	12.3272i	0.764855	−	0.792422i
$243$	0.988831	−	0.149042i	0.0634335	−	0.00956107i
$244$	4.67505	−	13.2753i	0.299289	−	0.849866i
$245$	−28.9906	−	7.38672i	−1.85214	−	0.471920i
$246$	−2.96785	−	0.507310i	−0.189223	−	0.0323449i
$247$	−0.0500775	−	0.332242i	−0.00318635	−	0.0211401i
$248$	10.4945	−	5.25842i	0.666399	−	0.333910i
$249$	7.62318	−	2.35144i	0.483100	−	0.149017i
$250$	12.0742	−	48.4779i	0.763637	−	3.06601i
$251$	−2.39835	−	1.15499i	−0.151383	−	0.0729021i	0.356658	−	0.934235i	$-0.383916\pi$
$251$	−2.39835	−	1.15499i	−0.151383	−	0.0729021i	−0.508041	+	0.861333i	$0.669630\pi$
$252$	−5.13058	+	1.29506i	−0.323196	+	0.0815814i
$253$	−5.94137	+	2.86121i	−0.373531	+	0.179883i
$254$	5.86127	+	28.2324i	0.367769	+	1.77146i
$255$	−1.36602	−	18.2283i	−0.0855437	−	1.14150i
$256$	15.8017	+	2.51111i	0.987607	+	0.156944i
$257$	−1.16578	+	3.77935i	−0.0727191	+	0.235750i	−0.984634	−	0.174629i	$-0.944127\pi$
$257$	−1.16578	+	3.77935i	−0.0727191	+	0.235750i	0.911915	+	0.410379i	$0.134604\pi$
$258$	−4.91780	−	8.91913i	−0.306169	−	0.555281i
$259$	−8.65583	+	21.2663i	−0.537847	+	1.32143i
$260$	2.71033	−	1.69546i	0.168087	−	0.105148i
$261$	7.30095	−	4.97771i	0.451918	−	0.308112i
$262$	−0.112824	−	0.172696i	−0.00697032	−	0.0106692i
$263$	−4.98461	+	2.87787i	−0.307364	+	0.177457i	−0.645746	−	0.763552i	$-0.723454\pi$
$263$	−4.98461	+	2.87787i	−0.307364	+	0.177457i	0.338382	+	0.941009i	$0.390120\pi$
$264$	11.6684	−	6.98328i	0.718139	−	0.429791i
$265$	−16.0126	+	3.65477i	−0.983647	+	0.224511i
$266$	1.98205	−	2.71476i	0.121527	−	0.166453i
$267$	−14.8669	−	3.39328i	−0.909842	−	0.207666i
$268$	−7.48692	+	3.93783i	−0.457337	+	0.240541i
$269$	−2.44618	+	16.2293i	−0.149146	+	0.989519i	0.781581	+	0.623804i	$0.214414\pi$
$269$	−2.44618	+	16.2293i	−0.149146	+	0.989519i	−0.930727	+	0.365715i	$0.880824\pi$
$270$	−5.73938	−	1.89496i	−0.349288	−	0.115324i
$271$	−5.14505	−	4.77390i	−0.312539	−	0.289994i	0.508268	−	0.861199i	$-0.330286\pi$
$271$	−5.14505	−	4.77390i	−0.312539	−	0.289994i	−0.820808	+	0.571205i	$0.806476\pi$
$272$	10.6132	+	13.4183i	0.643522	+	0.813603i
$273$	0.0124130	−	0.989470i	0.000751272	−	0.0598854i
$274$	11.2215	−	0.618937i	0.677918	−	0.0373914i
$275$	55.2338	+	31.8892i	3.33072	+	1.92299i
$276$	−2.69642	+	0.504610i	−0.162306	+	0.0303739i
$277$	−21.0277	+	19.5109i	−1.26343	+	1.17230i	−0.286658	+	0.958033i	$0.592544\pi$
$277$	−21.0277	+	19.5109i	−1.26343	+	1.17230i	−0.976776	+	0.214262i	$0.931265\pi$
$278$	−9.55550	−	20.8849i	−0.573101	−	1.25259i
$279$	2.58753	−	3.24465i	0.154911	−	0.194252i
$280$	31.2029	+	7.01830i	1.86473	+	0.419424i
$281$	−11.6489	−	14.6073i	−0.694916	−	0.871397i	0.301716	−	0.953398i	$-0.402441\pi$
$281$	−11.6489	−	14.6073i	−0.694916	−	0.871397i	−0.996632	+	0.0820005i	$0.973869\pi$
$282$	3.78225	−	7.47364i	0.225229	−	0.445049i
$283$	9.78778	−	24.9388i	0.581823	−	1.48246i	−0.272208	−	0.962238i	$-0.587754\pi$
$283$	9.78778	−	24.9388i	0.581823	−	1.48246i	0.854031	−	0.520222i	$-0.174151\pi$
$284$	8.08086	+	2.18258i	0.479511	+	0.129513i
$285$	3.57400	−	1.40269i	0.211705	−	0.0830882i
$286$	0.701550	+	2.44432i	0.0414835	+	0.144535i
$287$	5.26889	−	1.99198i	0.311013	−	0.117583i
$288$	5.44353	−	1.53883i	0.320763	−	0.0906766i
$289$	−0.0966391	+	1.28956i	−0.00568465	+	0.0758564i
$290$	−52.9581	+	6.91823i	−3.10981	+	0.406252i
$291$	−1.48370	+	2.17619i	−0.0869761	+	0.127570i
$292$	−3.88205	+	20.2949i	−0.227180	+	1.18767i
$293$		−	4.18393i		−	0.244428i	−0.992504	−	0.122214i	$-0.961001\pi$
$293$		−	4.18393i		−	0.244428i	0.992504	−	0.122214i	$-0.0389994\pi$
$294$	7.05153	−	6.94809i	0.411253	−	0.405221i
$295$		−	24.3063i		−	1.41517i
$296$	8.60771	−	22.9869i	0.500313	−	1.33609i
$297$	2.70831	−	3.97237i	0.157152	−	0.230500i
$298$	2.76553	+	21.1698i	0.160203	+	1.22633i
$299$	0.0383368	−	0.511569i	0.00221707	−	0.0295848i
$300$	18.7230	+	18.7980i	1.08097	+	1.08530i
$301$	16.3809	+	9.73351i	0.944178	+	0.561030i
$302$	2.49212	−	0.715270i	0.143405	−	0.0411592i
$303$	−5.59994	+	2.19782i	−0.321708	+	0.126261i
$304$	−2.03609	+	2.96089i	−0.116778	+	0.169819i
$305$	−10.9880	+	27.9969i	−0.629170	+	1.60310i
$306$	5.39691	+	2.73126i	0.308521	+	0.156136i
$307$	2.67691	+	3.35674i	0.152780	+	0.191579i	0.852331	−	0.523003i	$-0.175188\pi$
$307$	2.67691	+	3.35674i	0.152780	+	0.191579i	−0.699551	+	0.714582i	$0.746617\pi$
$308$	−12.2133	+	22.3169i	−0.695919	+	1.27163i
$309$	5.15668	−	6.46627i	0.293353	−	0.367853i
$310$	−22.8095	+	10.4361i	−1.29549	+	0.592728i
$311$	23.9238	−	22.1980i	1.35659	−	1.25873i	0.420358	−	0.907358i	$-0.361904\pi$
$311$	23.9238	−	22.1980i	1.35659	−	1.25873i	0.936234	−	0.351376i	$-0.114286\pi$
$312$	0.0166093	+	1.05774i	0.000940316	+	0.0598828i
$313$	14.5097	+	8.37720i	0.820139	+	0.473507i	0.850464	−	0.526033i	$-0.176321\pi$
$313$	14.5097	+	8.37720i	0.820139	+	0.473507i	−0.0303257	+	0.999540i	$0.509654\pi$
$314$	−0.448622	−	8.13367i	−0.0253172	−	0.459010i
$315$	11.0547	−	2.37767i	0.622862	−	0.133967i
$316$	−20.9597	−	13.2284i	−1.17907	−	0.744153i
$317$	−19.3678	−	17.9707i	−1.08780	−	1.00933i	−0.999913	−	0.0132035i	$-0.995797\pi$
$317$	−19.3678	−	17.9707i	−1.08780	−	1.00933i	−0.0878901	−	0.996130i	$-0.528012\pi$
$318$	1.70394	−	5.16082i	0.0955520	−	0.289404i
$319$	6.33180	−	42.0088i	0.354513	−	2.35204i
$320$	−33.5559	−	6.55781i	−1.87583	−	0.366593i
$321$	5.33174	+	1.21694i	0.297589	+	0.0679227i
$322$	3.87269	−	3.36763i	0.215817	−	0.187671i
$323$	−3.74595	+	0.854990i	−0.208430	+	0.0475729i
$324$	1.51855	−	1.30154i	0.0843638	−	0.0723079i
$325$	−4.29683	+	2.48078i	−0.238345	+	0.137609i
$326$	19.0040	−	12.4155i	1.05253	−	0.687632i
$327$	3.70642	−	2.52699i	0.204965	−	0.139743i
$328$	−5.57029	+	2.28775i	−0.307568	+	0.126320i
$329$	0.974937	+	15.6401i	0.0537500	+	0.862265i
$330$	−25.4469	+	14.0308i	−1.40081	+	0.772372i
$331$	−1.85987	+	6.02954i	−0.102228	+	0.331414i	−0.992209	−	0.124583i	$-0.960241\pi$
$331$	−1.85987	+	6.02954i	−0.102228	+	0.331414i	0.889982	+	0.455996i	$0.150717\pi$
$332$	10.4315	−	12.0728i	0.572505	−	0.662579i
$333$	−0.648524	−	8.65396i	−0.0355389	−	0.474234i
$334$	−28.5290	+	5.92284i	−1.56104	+	0.324083i
$335$	16.2868	−	7.84329i	0.889841	−	0.428525i
$336$	−7.32562	+	7.63776i	−0.399645	+	0.416674i
$337$	−26.0738	−	12.5565i	−1.42033	−	0.683995i	−0.443158	−	0.896443i	$-0.646142\pi$
$337$	−26.0738	−	12.5565i	−1.42033	−	0.683995i	−0.977172	+	0.212448i	$0.931856\pi$
$338$	17.6478	+	4.39546i	0.959914	+	0.239081i
$339$	5.72537	−	1.76604i	0.310960	−	0.0959183i
$340$	−21.6505	−	29.4585i	−1.17417	−	1.59761i
$341$	−2.97378	−	19.7297i	−0.161039	−	1.06842i
$342$	−0.214061	+	1.25229i	−0.0115751	+	0.0677163i
$343$	−4.79757	+	17.8881i	−0.259045	+	0.965865i
$344$	−17.7988	−	9.90683i	−0.959646	−	0.534141i
$345$	5.79659	−	0.873696i	0.312078	−	0.0470382i
$346$	15.6129	+	15.0697i	0.839352	+	0.810153i
$347$	−9.06554	−	29.3898i	−0.486664	−	1.57772i	−0.782605	−	0.622519i	$-0.786109\pi$
$347$	−9.06554	−	29.3898i	−0.486664	−	1.57772i	0.295941	−	0.955206i	$-0.404367\pi$
$348$	7.09956	−	16.1840i	0.380576	−	0.867554i
$349$	1.47847	−	3.07008i	0.0791409	−	0.164338i	−0.857644	−	0.514244i	$-0.828072\pi$
$349$	1.47847	−	3.07008i	0.0791409	−	0.164338i	0.936785	+	0.349907i	$0.113787\pi$
$350$	−48.0100	−	12.5993i	−2.56624	−	0.673461i
$351$	0.162278	+	0.336975i	0.00866179	+	0.0179864i
$352$	12.3776	−	24.2170i	0.659728	−	1.29077i
$353$	19.5419	−	1.46446i	1.04011	−	0.0779456i	0.456293	−	0.889830i	$-0.349177\pi$
$353$	19.5419	−	1.46446i	1.04011	−	0.0779456i	0.583819	+	0.811884i	$0.301558\pi$
$354$	6.88484	+	4.15791i	0.365925	+	0.220990i
$355$	−17.0923	−	5.27226i	−0.907163	−	0.279823i
$356$	−28.8072	+	10.0155i	−1.52678	+	0.530819i
$357$	−11.2941	+	0.704027i	−0.597747	+	0.0372611i
$358$	3.25402	−	2.90213i	0.171980	−	0.153382i
$359$	−2.62958	−	3.85688i	−0.138784	−	0.203559i	0.750554	−	0.660809i	$-0.229787\pi$
$359$	−2.62958	−	3.85688i	−0.138784	−	0.203559i	−0.889338	+	0.457250i	$0.848834\pi$
$360$	−11.7415	+	2.87459i	−0.618830	+	0.151504i
$361$	9.09648	+	15.7556i	0.478762	+	0.829241i
$362$	−0.758983	+	0.914195i	−0.0398912	+	0.0480490i
$363$	−2.69577	−	11.8109i	−0.141491	−	0.619913i
$364$	−1.02846	−	1.69088i	−0.0539060	−	0.0886264i
$365$	9.82539	−	43.0479i	0.514285	−	2.25323i
$366$	−6.05059	−	7.90162i	−0.316269	−	0.413024i
$367$	22.1866	+	3.34409i	1.15813	+	0.174560i	0.699879	−	0.714261i	$-0.253237\pi$
$367$	22.1866	+	3.34409i	1.15813	+	0.174560i	0.458253	+	0.888822i	$0.348475\pi$
$368$	−4.03675	+	3.71563i	−0.210430	+	0.193691i
$369$	−1.44810	+	1.56068i	−0.0753853	+	0.0812460i
$370$	−20.1210	+	48.4394i	−1.04604	+	2.51825i
$371$	2.13799	+	9.94033i	0.110999	+	0.516076i
$372$	0.945807	−	8.24607i	0.0490378	−	0.427539i
$373$	−1.48299	+	2.56861i	−0.0767861	+	0.132997i	−0.901862	−	0.432025i	$-0.857799\pi$
$373$	−1.48299	+	2.56861i	−0.0767861	+	0.132997i	0.825076	+	0.565022i	$0.191133\pi$
$374$	27.2744	−	10.0890i	1.41033	−	0.521692i
$375$	−24.0280	−	25.8960i	−1.24080	−	1.33726i
$376$	−1.51404	−	16.6838i	−0.0780807	−	0.860403i
$377$	2.58389	+	2.06059i	0.133077	+	0.106126i
$378$	−1.21757	+	3.53801i	−0.0626248	+	0.181976i
$379$	12.3350	−	9.83682i	0.633606	−	0.505284i	−0.253207	−	0.967412i	$-0.581486\pi$
$379$	12.3350	−	9.83682i	0.633606	−	0.505284i	0.886813	+	0.462128i	$0.152914\pi$
$380$	4.57217	−	6.16922i	0.234547	−	0.316474i
$381$	18.9796	+	7.44895i	0.972355	+	0.381621i
$382$	−2.57853	+	27.2049i	−0.131929	+	1.39192i
$383$	−3.33528	−	8.49816i	−0.170425	−	0.434236i	0.819987	−	0.572382i	$-0.193981\pi$
$383$	−3.33528	−	8.49816i	−0.170425	−	0.434236i	−0.990412	+	0.138147i	$0.955885\pi$
$384$	7.59769	−	8.38302i	0.387718	−	0.427794i
$385$	27.7704	−	46.7359i	1.41531	−	2.38188i
$386$	−11.2866	+	15.8733i	−0.574472	+	0.807930i
$387$	−7.18179	−	0.538201i	−0.365071	−	0.0273583i
$388$	−0.207488	+	5.26361i	−0.0105336	+	0.267219i
$389$	15.0621	+	10.2691i	0.763676	+	0.520666i	0.881394	−	0.472381i	$-0.156605\pi$
$389$	15.0621	+	10.2691i	0.763676	+	0.520666i	−0.117718	+	0.993047i	$0.537558\pi$
$390$	0.0445295	−	2.26015i	0.00225484	−	0.114447i
$391$	−5.86648			−0.296680
$392$	4.58670	−	19.2604i	0.231663	−	0.972796i
$393$	−0.145865			−0.00735794
$394$	0.418978	−	21.2657i	0.0211078	−	1.07135i
$395$	43.7606	+	29.8355i	2.20183	+	1.50119i
$396$	0.378745	−	9.60808i	0.0190326	−	0.482824i
$397$	−36.5559	−	2.73949i	−1.83469	−	0.137491i	−0.888042	−	0.459762i	$-0.847935\pi$
$397$	−36.5559	−	2.73949i	−1.83469	−	0.137491i	−0.946647	+	0.322271i	$0.895554\pi$
$398$	−0.587255	+	0.825908i	−0.0294364	+	0.0413990i
$399$	−0.840524	−	2.22323i	−0.0420788	−	0.111301i
$400$	51.6848	+	12.0143i	2.58424	+	0.600716i
$401$	4.90738	+	12.5038i	0.245063	+	0.624410i	0.999489	−	0.0319752i	$-0.0101798\pi$
$401$	4.90738	+	12.5038i	0.245063	+	0.624410i	−0.754426	+	0.656385i	$0.772085\pi$
$402$	−0.564422	+	5.95497i	−0.0281508	+	0.297007i
$403$	1.44489	+	0.567076i	0.0719749	+	0.0282481i
$404$	−7.16393	+	9.66628i	−0.356419	+	0.480916i
$405$	−3.34142	+	2.66469i	−0.166037	+	0.132410i
$406$	3.87119	+	32.8353i	0.192124	+	1.62959i
$407$	−32.6203	−	26.0138i	−1.61693	−	1.28946i
$408$	12.0478	−	1.09333i	0.596456	−	0.0541278i
$409$	−0.114451	−	0.123349i	−0.00565924	−	0.00609921i	0.730216	−	0.683216i	$-0.239419\pi$
$409$	−0.114451	−	0.123349i	−0.00565924	−	0.00609921i	−0.735875	+	0.677117i	$0.763229\pi$
$410$	12.0688	−	4.46437i	0.596037	−	0.220479i
$411$	3.97344	−	6.88221i	0.195996	−	0.339474i
$412$	1.88490	−	16.4336i	0.0928623	−	0.809625i
$413$	−15.0458	−	0.188752i	−0.740356	−	0.00928788i
$414$	−0.744104	+	1.79136i	−0.0365707	+	0.0880406i
$415$	−23.1905	+	24.9934i	−1.13838	+	1.22688i
$416$	1.15008	+	1.77586i	0.0563874	+	0.0870686i
$417$	−16.0588	−	2.42047i	−0.786402	−	0.118531i
$418$	3.71351	+	4.84958i	0.181634	+	0.237200i
$419$	−3.12157	+	13.6765i	−0.152499	+	0.668141i	0.839655	+	0.543120i	$0.182757\pi$
$419$	−3.12157	+	13.6765i	−0.152499	+	0.668141i	−0.992154	+	0.125021i	$0.960100\pi$
$420$	16.2221	−	15.7570i	0.791558	−	0.768862i
$421$	8.00568	+	35.0752i	0.390173	+	1.70946i	0.664045	+	0.747693i	$0.268838\pi$
$421$	8.00568	+	35.0752i	0.390173	+	1.70946i	−0.273872	+	0.961766i	$0.588304\pi$
$422$	23.3885	−	28.1714i	1.13853	−	1.37136i
$423$	−2.96143	−	5.12935i	−0.143990	−	0.249398i
$424$	−2.58481	−	10.5579i	−0.125530	−	0.512735i
$425$	31.9617	+	46.8792i	1.55037	+	2.27398i
$426$	4.41724	−	3.93955i	0.214016	−	0.190872i
$427$	17.2450	+	7.01907i	0.834545	+	0.339677i
$428$	10.3311	−	3.59185i	0.499374	−	0.173619i
$429$	1.71829	+	0.530021i	0.0829596	+	0.0255896i
$430$	37.2615	+	22.5030i	1.79691	+	1.08519i
$431$	−33.2038	+	2.48828i	−1.59937	+	0.119856i	−0.844330	−	0.535823i	$-0.820001\pi$
$431$	−33.2038	+	2.48828i	−1.59937	+	0.119856i	−0.755039	+	0.655680i	$0.772382\pi$
$432$	1.19429	−	3.81755i	0.0574605	−	0.183672i
$433$	8.64606	+	17.9537i	0.415503	+	0.862801i	0.998725	+	0.0504879i	$0.0160776\pi$
$433$	8.64606	+	17.9537i	0.415503	+	0.862801i	−0.583222	+	0.812313i	$0.698208\pi$
$434$	6.28288	+	14.2003i	0.301588	+	0.681636i
$435$	−16.3857	+	34.0253i	−0.785635	+	1.63139i
$436$	3.60418	−	8.21601i	0.172609	−	0.393475i
$437$	−0.363195	−	1.17745i	−0.0173740	−	0.0563250i
$438$	10.5127	+	10.1470i	0.502315	+	0.484841i
$439$	16.2759	−	2.45320i	0.776806	−	0.117085i	0.251340	−	0.967899i	$-0.419129\pi$
$439$	16.2759	−	2.45320i	0.776806	−	0.117085i	0.525467	+	0.850814i	$0.323891\pi$
$440$	−28.2649	+	50.7813i	−1.34748	+	2.42090i
$441$	−1.38595	−	6.86142i	−0.0659978	−	0.326734i
$442$	−0.381176	+	2.22994i	−0.0181307	+	0.106067i
$443$	1.19724	+	7.94318i	0.0568827	+	0.377392i	0.999101	+	0.0423925i	$0.0134980\pi$
$443$	1.19724	+	7.94318i	0.0568827	+	0.377392i	−0.942218	+	0.334999i	$0.891264\pi$
$444$	−10.2787	−	13.9855i	−0.487804	−	0.663724i
$445$	62.2775	−	19.2101i	2.95224	−	0.910644i
$446$	14.5987	+	3.63604i	0.691270	+	0.172172i
$447$	13.6015	+	6.55012i	0.643327	+	0.309810i
$448$	−4.31992	+	20.7205i	−0.204097	+	0.978951i
$449$	−7.14665	+	3.44164i	−0.337271	+	0.162421i	−0.594851	−	0.803836i	$-0.702789\pi$
$449$	−7.14665	+	3.44164i	−0.337271	+	0.162421i	0.257580	+	0.966257i	$0.417075\pi$
$450$	18.3688	−	3.81352i	0.865916	−	0.179771i
$451$	0.764927	+	10.2072i	0.0360190	+	0.480640i
$452$	7.83458	−	9.06722i	0.368508	−	0.426486i
$453$	0.540386	−	1.75189i	0.0253896	−	0.0823110i
$454$	22.3193	−	12.3063i	1.04750	−	0.577564i
$455$	2.06847	+	3.68880i	0.0969715	+	0.172934i
$456$	0.965323	+	2.35041i	0.0452054	+	0.110068i
$457$	22.0647	−	15.0435i	1.03214	−	0.703704i	0.0761518	−	0.997096i	$-0.475737\pi$
$457$	22.0647	−	15.0435i	1.03214	−	0.703704i	0.955992	+	0.293392i	$0.0947843\pi$
$458$	−1.37195	+	0.896311i	−0.0641071	+	0.0418819i
$459$	3.70404	−	2.13853i	0.172890	−	0.0998178i
$460$	8.90183	−	7.62973i	0.415050	−	0.355738i
$461$	0.915866	−	0.209040i	0.0426561	−	0.00973599i	−0.201140	−	0.979563i	$-0.564464\pi$
$461$	0.915866	−	0.209040i	0.0426561	−	0.00973599i	0.243796	+	0.969827i	$0.421607\pi$
$462$	8.48760	+	15.8608i	0.394879	+	0.737913i
$463$	−8.76531	−	2.00063i	−0.407359	−	0.0929769i	0.0139313	−	0.999903i	$-0.495565\pi$
$463$	−8.76531	−	2.00063i	−0.407359	−	0.0929769i	−0.421290	+	0.906926i	$0.638423\pi$
$464$	−5.12819	−	34.9715i	−0.238070	−	1.62351i
$465$	−2.64352	+	17.5386i	−0.122590	+	0.813334i
$466$	−5.08017	+	15.3866i	−0.235335	+	0.712773i
$467$	24.6685	+	22.8891i	1.14152	+	1.05918i	0.997575	+	0.0695944i	$0.0221705\pi$
$467$	24.6685	+	22.8891i	1.14152	+	1.05918i	0.143949	+	0.989585i	$0.454020\pi$
$468$	0.632576	+	0.399240i	0.0292408	+	0.0184549i
$469$	−4.72859	−	10.1426i	−0.218346	−	0.468340i
$470$	1.97151	+	35.7442i	0.0909390	+	1.64876i
$471$	−4.98841	−	2.88006i	−0.229854	−	0.132706i
$472$	16.0839	−	0.252560i	0.740323	−	0.0116250i
$473$	−25.3821	+	23.5511i	−1.16707	+	1.08288i
$474$	−15.9368	+	7.29159i	−0.732001	+	0.334914i
$475$	−7.43027	+	9.31727i	−0.340924	+	0.427506i
$476$	−18.4032	+	13.1731i	−0.843510	+	0.603789i
$477$	−2.39608	−	3.00459i	−0.109709	−	0.137571i
$478$	−15.1742	−	7.67935i	−0.694053	−	0.351245i
$479$	9.34337	−	23.8065i	0.426909	−	1.08775i	−0.542010	−	0.840372i	$-0.682337\pi$
$479$	9.34337	−	23.8065i	0.426909	−	1.08775i	0.968920	−	0.247376i	$-0.0795682\pi$
$480$	−16.8595	+	17.3280i	−0.769528	+	0.790911i
$481$	3.02141	−	1.18581i	0.137764	−	0.0540685i
$482$	−37.9464	+	10.8911i	−1.72841	+	0.496077i
$483$	−0.495812	−	3.59493i	−0.0225602	−	0.163575i
$484$	−17.0984	−	17.1669i	−0.777202	−	0.780316i
$485$	0.841210	−	11.2252i	0.0381974	−	0.509709i
$486$	−0.183190	−	1.40230i	−0.00830968	−	0.0636096i
$487$	14.6282	−	21.4557i	0.662869	−	0.972250i	−0.336662	−	0.941626i	$-0.609298\pi$
$487$	14.6282	−	21.4557i	0.662869	−	0.972250i	0.999531	−	0.0306248i	$-0.00974970\pi$
$488$	−18.6403	−	6.98005i	−0.843805	−	0.315972i
$489$		−	16.0514i		−	0.725871i
$490$	−11.2520	+	40.7852i	−0.508313	+	1.84249i
$491$			18.9567i			0.855503i	0.903896	+	0.427751i	$0.140694\pi$
$491$			18.9567i			0.855503i	−0.903896	+	0.427751i	$0.859306\pi$
$492$	−0.799982	+	4.18222i	−0.0360660	+	0.188549i
$493$	21.2899	−	31.2266i	0.958849	−	1.40637i
$494$	−0.471166	+	0.0615511i	−0.0211987	+	0.00276931i
$495$	−1.53553	+	20.4902i	−0.0690168	+	0.920965i
$496$	−7.14273	−	14.9850i	−0.320718	−	0.672847i
$497$	−3.39631	+	10.5393i	−0.152345	+	0.472753i
$498$	−3.11243	−	10.8442i	−0.139471	−	0.485941i
$499$	−19.7654	+	7.75735i	−0.884821	+	0.347267i	−0.763853	−	0.645390i	$-0.776695\pi$
$499$	−19.7654	+	7.75735i	−0.884821	+	0.347267i	−0.120968	+	0.992656i	$0.538600\pi$
$500$	−68.2084	−	18.4226i	−3.05037	−	0.823884i
$501$	−7.52719	+	19.1790i	−0.336290	+	0.856853i
$502$	−1.69989	+	3.35895i	−0.0758699	+	0.149917i
$503$	9.61907	+	12.0619i	0.428893	+	0.537815i	0.948578	−	0.316543i	$-0.102522\pi$
$503$	9.61907	+	12.0619i	0.428893	+	0.537815i	−0.519685	+	0.854358i	$0.673951\pi$
$504$	1.68822	+	7.29040i	0.0751992	+	0.324740i
$505$	16.0302	−	20.1013i	0.713337	−	0.894496i
$506$	3.88007	+	8.48044i	0.172490	+	0.377001i
$507$	9.42713	−	8.74710i	0.418674	−	0.388472i
$508$	40.0822	−	7.50100i	1.77836	−	0.332803i
$509$	23.2478	+	13.4221i	1.03044	+	0.594926i	0.917111	−	0.398631i	$-0.130515\pi$
$509$	23.2478	+	13.4221i	1.03044	+	0.594926i	0.113331	+	0.993557i	$0.463848\pi$
$510$	−25.8118	+	1.42368i	−1.14297	+	0.0630416i
$511$	−26.5707	−	6.41629i	−1.17542	−	0.283840i
$512$	3.99075	−	22.2727i	0.176368	−	0.984324i
$513$	0.658537	+	0.611033i	0.0290751	+	0.0269778i
$514$	5.31130	+	1.75362i	0.234271	+	0.0773489i
$515$	−5.26827	+	34.9527i	−0.232148	+	1.54020i
$516$	−12.7481	+	6.70500i	−0.561204	+	0.295171i
$517$	−27.7618	−	6.33646i	−1.22096	−	0.278677i
$518$	29.8282	+	12.8312i	1.31058	+	0.563773i
$519$	14.9590	−	3.41429i	0.656627	−	0.149871i
$520$	−2.32178	−	3.87947i	−0.101817	−	0.170126i
$521$	0.349047	−	0.201522i	0.0152920	−	0.00882886i	−0.492334	−	0.870406i	$-0.663856\pi$
$521$	0.349047	−	0.201522i	0.0152920	−	0.00882886i	0.507627	+	0.861577i	$0.330523\pi$
$522$	−6.83479	−	10.4618i	−0.299150	−	0.457899i
$523$	−12.5353	+	8.54639i	−0.548128	+	0.373708i	−0.805492	−	0.592607i	$-0.798099\pi$
$523$	−12.5353	+	8.54639i	−0.548128	+	0.373708i	0.257363	+	0.966315i	$0.417146\pi$
$524$	−0.247325	+	0.154716i	−0.0108045	+	0.00675880i
$525$	−26.0259	+	23.5479i	−1.13586	+	1.02771i
$526$	3.93027	+	7.12810i	0.171368	+	0.310800i
$527$	5.23192	−	16.9615i	0.227906	−	0.738854i
$528$	−9.54888	−	16.6929i	−0.415562	−	0.726466i
$529$	1.57820	+	21.0596i	0.0686174	+	0.915635i
$530$	4.72156	+	22.7427i	0.205091	+	0.987879i
$531$	5.12402	−	2.46760i	0.222363	−	0.107085i
$532$	−3.78330	−	2.87812i	−0.164027	−	0.124782i
$533$	−0.717427	−	0.345495i	−0.0310752	−	0.0149650i
$534$	−5.21205	+	20.9264i	−0.225548	+	0.905575i
$535$	−22.3346	+	6.88932i	−0.965610	+	0.297851i
$536$	5.35928	+	10.6958i	0.231486	+	0.461986i
$537$	−0.459512	−	3.04866i	−0.0198294	−	0.131559i
$538$	22.8791	+	3.91085i	0.986390	+	0.168609i
$539$	−28.7143	−	17.5531i	−1.23681	−	0.756064i
$540$	−2.83924	+	8.06235i	−0.122182	+	0.346948i
$541$	−23.9328	+	3.60728i	−1.02895	+	0.155089i	−0.641756	−	0.766909i	$-0.721794\pi$
$541$	−23.9328	+	3.60728i	−1.02895	+	0.155089i	−0.387194	+	0.921998i	$0.626556\pi$
$542$	−6.89334	+	7.14179i	−0.296094	+	0.306766i
$543$	0.247648	+	0.802854i	0.0106276	+	0.0344538i
$544$	19.2683	−	14.6327i	0.826121	−	0.627370i
$545$	−8.31841	+	17.2734i	−0.356321	+	0.739909i
$546$	−1.39870	−	0.0451154i	−0.0598590	−	0.00193076i
$547$	4.63127	+	9.61692i	0.198019	+	0.411190i	0.976207	−	0.216841i	$-0.0695754\pi$
$547$	4.63127	+	9.61692i	0.198019	+	0.411190i	−0.778188	+	0.628031i	$0.783861\pi$
$548$	−0.562535	−	15.8838i	−0.0240303	−	0.678523i
$549$	−7.01755	+	0.525893i	−0.299502	+	0.0224446i
$550$	46.6281	−	77.2088i	1.98823	−	3.29220i
$551$	7.58548	+	2.33981i	0.323152	+	0.0996793i
$552$	0.638372	+	3.82664i	0.0271709	+	0.162872i
$553$	18.8082	−	26.8565i	0.799808	−	1.14205i
$554$	27.0014	+	30.2755i	1.14718	+	1.28628i
$555$	20.8932	+	30.6446i	0.886865	+	1.30079i
$556$	−29.7962	+	12.9291i	−1.26364	+	0.548316i
$557$	−21.3155	−	36.9195i	−0.903166	−	1.56433i	−0.823360	−	0.567519i	$-0.807903\pi$
$557$	−21.3155	−	36.9195i	−0.903166	−	1.56433i	−0.0798057	−	0.996810i	$-0.525430\pi$
$558$	−4.51566	−	3.74899i	−0.191163	−	0.158707i
$559$	−0.599387	−	2.62609i	−0.0253514	−	0.111072i
$560$	10.7927	−	43.9235i	0.456074	−	1.85611i
$561$	4.57572	−	20.0475i	0.193187	−	0.846407i
$562$	−20.9783	+	16.0639i	−0.884917	+	0.677616i
$563$	17.4583	+	2.63141i	0.735778	+	0.110901i	0.506232	−	0.862397i	$-0.331038\pi$
$563$	17.4583	+	2.63141i	0.735778	+	0.110901i	0.229546	+	0.973298i	$0.426276\pi$
$564$	−10.4619	−	5.55606i	−0.440526	−	0.233952i
$565$	−17.4172	+	18.7712i	−0.732745	+	0.789712i
$566$	−34.9893	−	14.5341i	−1.47071	−	0.610912i
$567$	1.62352	+	2.08906i	0.0681815	+	0.0877323i
$568$	3.31115	−	11.3650i	0.138933	−	0.476867i
$569$	12.1469	−	21.0391i	0.509225	−	0.882003i	−0.490718	−	0.871318i	$-0.663265\pi$
$569$	12.1469	−	21.0391i	0.509225	−	0.882003i	0.999943	−	0.0106849i	$-0.00340119\pi$
$570$	−1.88376	−	5.09249i	−0.0789019	−	0.213301i
$571$	−5.10458	−	5.50143i	−0.213620	−	0.230228i	0.617147	−	0.786848i	$-0.288288\pi$
$571$	−5.10458	−	5.50143i	−0.213620	−	0.230228i	−0.830767	+	0.556620i	$0.812098\pi$
$572$	3.47566	−	0.923857i	0.145325	−	0.0386284i
$573$	15.1073	+	12.0477i	0.631118	+	0.503299i
$574$	−2.66976	−	7.50538i	−0.111434	−	0.313269i
$575$	−14.2258	+	11.3447i	−0.593256	+	0.473106i
$576$	−2.02417	−	7.73969i	−0.0843405	−	0.322487i
$577$	−19.5969	−	7.69121i	−0.815829	−	0.320189i	−0.0795186	−	0.996833i	$-0.525338\pi$
$577$	−19.5969	−	7.69121i	−0.815829	−	0.320189i	−0.736310	+	0.676644i	$0.763434\pi$
$578$	1.82067	+	0.172566i	0.0757297	+	0.00717779i
$579$	5.03156	+	12.8202i	0.209105	+	0.532790i
$580$	8.30667	+	75.0723i	0.344916	+	3.11721i
$581$	15.2910	+	14.5492i	0.634380	+	0.603603i
$582$	3.03567	+	2.15849i	0.125832	+	0.0894721i
$583$	−18.4247	−	1.38074i	−0.763071	−	0.0571843i
$584$	28.5877	+	6.05435i	1.18297	+	0.250531i
$585$	−1.32072	−	0.900453i	−0.0546051	−	0.0372291i
$586$	−5.91582	−	0.116554i	−0.244380	−	0.00481479i
$587$	13.5382			0.558779			0.279390	−	0.960178i	$-0.409868\pi$
$587$	13.5382			0.558779			0.279390	+	0.960178i	$0.409868\pi$
$588$	−9.62774	−	10.1640i	−0.397041	−	0.419156i
$589$	3.72821			0.153618
$590$	−34.3676	−	0.677113i	−1.41489	−	0.0278763i
$591$	−12.4267	−	8.47236i	−0.511165	−	0.348506i
$592$	−32.2624	−	12.8111i	−1.32597	−	0.526534i
$593$	−31.9414	−	2.39367i	−1.31167	−	0.0982964i	−0.599543	−	0.800343i	$-0.704651\pi$
$593$	−31.9414	−	2.39367i	−1.31167	−	0.0982964i	−0.712131	+	0.702046i	$0.752270\pi$
$594$	−5.54124	−	3.94005i	−0.227360	−	0.161662i
$595$	40.2979	−	26.7404i	1.65205	−	1.09625i
$596$	30.0098	−	3.32055i	1.22925	−	0.136015i
$597$	0.261798	+	0.667051i	0.0107147	+	0.0273006i
$598$	−0.722260	−	0.0684569i	−0.0295354	−	0.00279941i
$599$	13.4182	+	5.26626i	0.548253	+	0.215174i	0.623267	−	0.782009i	$-0.285805\pi$
$599$	13.4182	+	5.26626i	0.548253	+	0.215174i	−0.0750140	+	0.997182i	$0.523900\pi$
$600$	27.1008	−	25.9495i	1.10639	−	1.05938i
$601$	−7.00970	+	5.59005i	−0.285932	+	0.228023i	−0.755943	−	0.654638i	$-0.772821\pi$
$601$	−7.00970	+	5.59005i	−0.285932	+	0.228023i	0.470011	+	0.882660i	$0.344250\pi$
$602$	14.2189	−	22.8904i	0.579520	−	0.932944i
$603$	3.30689	+	2.63716i	0.134667	+	0.107393i
$604$	−0.941924	−	3.54363i	−0.0383264	−	0.144188i
$605$	35.2167	+	37.9546i	1.43176	+	1.54307i
$606$	2.95158	+	7.97920i	0.119900	+	0.324133i
$607$	7.21896	−	12.5036i	0.293009	−	0.507506i	−0.681511	−	0.731808i	$-0.738677\pi$
$607$	7.21896	−	12.5036i	0.293009	−	0.507506i	0.974520	+	0.224302i	$0.0720102\pi$
$608$	4.12980	+	2.96139i	0.167485	+	0.120100i
$609$	20.9347	+	10.4071i	0.848317	+	0.421718i
$610$	39.2799	+	16.3163i	1.59040	+	0.660627i
$611$	1.50674	−	1.62388i	0.0609562	−	0.0656952i
$612$	4.01218	−	7.55481i	0.162183	−	0.305385i
$613$	11.3160	+	1.70561i	0.457048	+	0.0688889i	0.373532	−	0.927617i	$-0.378147\pi$
$613$	11.3160	+	1.70561i	0.457048	+	0.0688889i	0.0835165	+	0.996506i	$0.473385\pi$
$614$	4.82080	−	3.69148i	0.194552	−	0.148976i
$615$	2.02474	−	8.87097i	0.0816454	−	0.357712i
$616$	31.2146	+	17.8906i	1.25767	+	0.720832i
$617$	6.70583	+	29.3802i	0.269966	+	1.18280i	0.910051	+	0.414496i	$0.136042\pi$
$617$	6.70583	+	29.3802i	0.269966	+	1.18280i	−0.640085	+	0.768304i	$0.721101\pi$
$618$	−8.99926	−	7.47136i	−0.362003	−	0.300542i
$619$	−8.63866	−	14.9626i	−0.347217	−	0.601397i	0.638537	−	0.769591i	$-0.279540\pi$
$619$	−8.63866	−	14.9626i	−0.347217	−	0.601397i	−0.985754	+	0.168194i	$0.946207\pi$
$620$	14.1205	+	32.5419i	0.567094	+	1.30692i
$621$	0.772659	+	1.13328i	0.0310057	+	0.0454771i
$622$	−30.7202	−	34.4451i	−1.23177	−	1.38112i
$623$	−11.4076	−	38.6995i	−0.457035	−	1.55046i
$624$	1.49604	+	0.00598146i	0.0598897	+	0.000239450i
$625$	80.8895	+	24.9511i	3.23558	+	0.998044i
$626$	12.2491	−	20.2825i	0.489571	−	0.810652i
$627$	4.30698	−	0.322764i	0.172004	−	0.0128899i
$628$	−11.5130	+	0.407741i	−0.459419	+	0.0162706i
$629$	−16.1046	−	33.4414i	−0.642131	−	1.33340i
$630$	−3.05393	−	15.6969i	−0.121671	−	0.625380i
$631$	−14.7401	+	30.6082i	−0.586796	+	1.21849i	0.370351	+	0.928892i	$0.379237\pi$
$631$	−14.7401	+	30.6082i	−0.586796	+	1.21849i	−0.957147	+	0.289602i	$0.906477\pi$
$632$	−19.2880	+	29.2672i	−0.767235	+	1.16419i
$633$	−7.63140	−	24.7404i	−0.303321	−	0.983343i
$634$	−25.9490	+	26.8842i	−1.03057	+	1.06771i
$635$	−86.1661	+	12.9875i	−3.41940	+	0.515391i
$636$	−7.24962	−	2.55303i	−0.287466	−	0.101234i
$637$	2.29946	−	1.25176i	0.0911081	−	0.0495964i
$638$	−59.2214	−	10.1230i	−2.34460	−	0.400775i
$639$	−0.623774	−	4.13847i	−0.0246761	−	0.163715i
$640$	−10.2071	+	47.2633i	−0.403472	+	1.86825i
$641$	22.1076	−	6.81928i	0.873196	−	0.269345i	0.174408	−	0.984674i	$-0.444199\pi$
$641$	22.1076	−	6.81928i	0.873196	−	0.269345i	0.698789	+	0.715328i	$0.253723\pi$
$642$	1.86920	−	7.50486i	0.0737715	−	0.296193i
$643$	−16.3054	−	7.85225i	−0.643021	−	0.309663i	0.0838070	−	0.996482i	$-0.473292\pi$
$643$	−16.3054	−	7.85225i	−0.643021	−	0.309663i	−0.726828	+	0.686819i	$0.759006\pi$
$644$	−4.65374	−	5.56956i	−0.183383	−	0.219471i
$645$	27.7317	−	13.3549i	1.09194	−	0.525848i
$646$	1.10455	+	5.32037i	0.0434580	+	0.209327i
$647$	−2.25346	−	30.0704i	−0.0885928	−	1.18219i	−0.847429	−	0.530908i	$-0.821851\pi$
$647$	−2.25346	−	30.0704i	−0.0885928	−	1.18219i	0.758837	−	0.651281i	$-0.225768\pi$
$648$	−1.79800	−	2.18339i	−0.0706320	−	0.0857718i
$649$	8.05947	−	26.1281i	0.316362	−	1.02562i
$650$	3.38797	+	6.14457i	0.132887	+	0.241010i
$651$	10.8360	+	1.77256i	0.424698	+	0.0694721i
$652$	−17.0254	−	27.2164i	−0.666766	−	1.06588i
$653$	10.0162	−	6.82896i	0.391966	−	0.267238i	−0.351261	−	0.936278i	$-0.614247\pi$
$653$	10.0162	−	6.82896i	0.391966	−	0.267238i	0.743226	+	0.669040i	$0.233295\pi$
$654$	−3.46976	−	5.31104i	−0.135678	−	0.207678i
$655$	0.539885	−	0.311703i	0.0210950	−	0.0121792i
$656$	3.07956	+	7.93978i	0.120237	+	0.309996i
$657$	10.0724	−	2.29896i	0.392962	−	0.0896911i
$658$	22.1413	−	0.942809i	0.863156	−	0.0367545i
$659$	14.6035	+	3.33315i	0.568871	+	0.129841i	0.497276	−	0.867593i	$-0.334334\pi$
$659$	14.6035	+	3.33315i	0.568871	+	0.129841i	0.0715954	+	0.997434i	$0.477191\pi$
$660$	19.1299	+	36.3713i	0.744629	+	1.41575i
$661$	−6.54755	+	43.4402i	−0.254670	+	1.68963i	0.386549	+	0.922269i	$0.373667\pi$
$661$	−6.54755	+	43.4402i	−0.254670	+	1.68963i	−0.641219	+	0.767358i	$0.721571\pi$
$662$	8.47360	+	2.79771i	0.329336	+	0.108736i
$663$	1.17265	+	1.08806i	0.0455418	+	0.0422566i
$664$	−16.7796	−	15.0859i	−0.651173	−	0.585446i
$665$	7.86185	+	6.43260i	0.304869	+	0.249446i
$666$	−12.2542	+	0.675896i	−0.474842	+	0.0261905i
$667$	10.4963	+	6.06006i	0.406419	+	0.234646i
$668$	7.57979	+	40.5032i	0.293271	+	1.56712i
$669$	7.79837	−	7.23583i	0.301503	−	0.279753i
$670$	−10.6362	−	23.2470i	−0.410913	−	0.898109i
$671$	−21.0948	+	26.4520i	−0.814355	+	1.02117i
$672$	10.5953	+	10.5707i	0.408721	+	0.407775i
$673$	1.95826	+	2.45559i	0.0754856	+	0.0946559i	0.818140	−	0.575018i	$-0.195005\pi$
$673$	1.95826	+	2.45559i	0.0754856	+	0.0946559i	−0.742655	+	0.669674i	$0.766434\pi$
$674$	−18.4805	+	36.5170i	−0.711840	+	1.40658i
$675$	4.84650	−	12.3487i	0.186542	−	0.475301i
$676$	6.70654	−	24.8305i	0.257944	−	0.955018i
$677$	1.63758	−	0.642701i	0.0629372	−	0.0247010i	−0.333664	−	0.942692i	$-0.608285\pi$
$677$	1.63758	−	0.642701i	0.0629372	−	0.0247010i	0.396601	+	0.917991i	$0.370190\pi$
$678$	−2.33758	−	8.14453i	−0.0897744	−	0.312789i
$679$	−6.94195	−	0.607886i	−0.266407	−	0.0233285i
$680$	−42.2557	+	29.7919i	−1.62043	+	1.14247i
$681$	1.34680	−	17.9717i	0.0516094	−	0.688679i
$682$	−27.9795	+	3.65512i	−1.07139	+	0.139962i
$683$	4.21218	−	6.17813i	0.161174	−	0.236399i	−0.737153	−	0.675726i	$-0.763830\pi$
$683$	4.21218	−	6.17813i	0.161174	−	0.236399i	0.898328	+	0.439326i	$0.144783\pi$
$684$	1.76471	+	0.337556i	0.0674752	+	0.0129068i
$685$			33.9637i			1.29769i
$686$	25.1590	+	7.28179i	0.960575	+	0.278020i
$687$			1.15880i			0.0442109i
$688$	−14.5035	+	24.8904i	−0.552940	+	0.948939i
$689$	0.809682	−	1.18759i	0.0308464	−	0.0452434i
$690$	−1.07387	−	8.22037i	−0.0408817	−	0.312944i
$691$	−1.82050	+	24.2929i	−0.0692553	+	0.924147i	0.849060	+	0.528297i	$0.177169\pi$
$691$	−1.82050	+	24.2929i	−0.0692553	+	0.924147i	−0.918315	+	0.395850i	$0.870450\pi$
$692$	21.7426	−	21.6558i	0.826529	−	0.823231i
$693$	12.6717	+	1.10962i	0.481357	+	0.0421511i
$694$	−41.8079	+	11.9994i	−1.58701	+	0.455491i
$695$	64.6100	−	25.3576i	2.45080	−	0.961867i
$696$	−22.6854	−	10.4892i	−0.859889	−	0.397592i
$697$	−3.32677	+	8.47648i	−0.126011	+	0.321070i
$698$	−4.29973	−	2.17600i	−0.162747	−	0.0823627i
$699$	7.14375	+	8.95798i	0.270201	+	0.338822i
$700$	−19.1521	+	67.5322i	−0.723880	+	2.55248i
$701$	−9.30664	+	11.6702i	−0.351507	+	0.440776i	−0.925880	−	0.377818i	$-0.876675\pi$
$701$	−9.30664	+	11.6702i	−0.351507	+	0.440776i	0.574373	+	0.818594i	$0.305246\pi$
$702$	0.480982	−	0.220065i	0.0181535	−	0.00830580i
$703$	5.71493	−	5.30268i	0.215543	−	0.199994i
$704$	−33.8966	−	18.1758i	−1.27753	−	0.685025i
$705$	21.9220	+	12.6567i	0.825631	+	0.476678i
$706$	−1.52628	−	27.6719i	−0.0574421	−	1.04145i
$707$	−12.3184	−	10.0790i	−0.463281	−	0.379058i
$708$	6.07082	−	9.61892i	0.228155	−	0.361501i
$709$	1.36733	+	1.26869i	0.0513510	+	0.0476468i	0.705431	−	0.708779i	$-0.250754\pi$
$709$	1.36733	+	1.26869i	0.0513510	+	0.0476468i	−0.654080	+	0.756425i	$0.726944\pi$
$710$	−7.93081	+	24.0205i	−0.297638	+	0.901475i
$711$	−1.84701	+	12.2541i	−0.0692682	+	0.459565i
$712$	13.3588	+	41.0106i	0.500641	+	1.53694i
$713$	5.54959	+	1.26666i	0.207834	+	0.0474367i
$714$	0.680827	+	15.9888i	0.0254793	+	0.598365i
$715$	−7.49242	+	1.71010i	−0.280201	+	0.0639540i
$716$	−4.01278	−	4.68183i	−0.149965	−	0.174968i
$717$	−10.4145	+	6.01280i	−0.388935	+	0.224552i
$718$	−5.52665	+	3.61062i	−0.206253	+	0.134747i
$719$	−34.9368	+	23.8195i	−1.30292	+	0.888317i	−0.997947	−	0.0640441i	$-0.979600\pi$
$719$	−34.9368	+	23.8195i	−1.30292	+	0.888317i	−0.304974	+	0.952361i	$0.598648\pi$
$720$	3.73741	+	16.6818i	0.139285	+	0.621695i
$721$	21.5951	+	3.53253i	0.804244	+	0.131558i
$722$	22.5308	−	12.4230i	0.838511	−	0.462335i
$723$	−8.22823	+	26.6753i	−0.306011	+	0.992064i
$724$	1.27147	+	1.09862i	0.0472539	+	0.0408300i
$725$	−8.75991	−	116.893i	−0.325335	−	4.34129i
$726$	−16.7750	+	3.48263i	−0.622580	+	0.129252i
$727$	−2.76169	+	1.32996i	−0.102425	+	0.0493255i	−0.484395	−	0.874849i	$-0.660960\pi$
$727$	−2.76169	+	1.32996i	−0.102425	+	0.0493255i	0.381970	+	0.924175i	$0.375246\pi$
$728$	−2.41946	+	1.40708i	−0.0896710	+	0.0521497i
$729$	−0.900969	−	0.433884i	−0.0333692	−	0.0160698i
$730$	−60.5933	−	15.0917i	−2.24266	−	0.558569i
$731$	−29.4345	+	9.07935i	−1.08868	+	0.335812i
$732$	−11.3410	+	8.33504i	−0.419174	+	0.308072i
$733$	−0.886941	−	5.88447i	−0.0327599	−	0.217348i	0.966461	−	0.256813i	$-0.0826726\pi$
$733$	−0.886941	−	5.88447i	−0.0327599	−	0.217348i	−0.999221	+	0.0394655i	$0.987434\pi$
$734$	5.34641	−	31.2774i	0.197340	−	1.15447i
$735$	19.7921	+	22.4342i	0.730042	+	0.827498i
$736$	5.14123	+	5.81123i	0.189508	+	0.214205i
$737$	20.1082	−	3.03082i	0.740694	−	0.111642i
$738$	2.16637	+	2.09101i	0.0797453	+	0.0769710i
$739$	−6.40095	−	20.7514i	−0.235463	−	0.763351i	−0.993770	−	0.111453i	$-0.964449\pi$
$739$	−6.40095	−	20.7514i	−0.235463	−	0.763351i	0.758307	−	0.651898i	$-0.226027\pi$
$740$	67.9299	+	29.7993i	2.49715	+	1.09544i
$741$	−0.145783	+	0.302721i	−0.00535547	+	0.0111207i
$742$	14.1146	−	2.74608i	0.518162	−	0.100812i
$743$	7.53100	+	15.6383i	0.276286	+	0.573713i	0.992226	−	0.124448i	$-0.0397161\pi$
$743$	7.53100	+	15.6383i	0.276286	+	0.573713i	−0.715940	+	0.698161i	$0.754002\pi$
$744$	−11.6331	−	1.56703i	−0.426490	−	0.0574501i
$745$	−64.3395	+	4.82158i	−2.35722	+	0.176649i
$746$	3.59054	+	2.16841i	0.131459	+	0.0793910i
$747$	−7.62318	−	2.35144i	−0.278918	−	0.0860347i
$748$	−13.5055	−	38.8454i	−0.493810	−	1.42033i
$749$	4.09111	+	13.8788i	0.149486	+	0.507121i
$750$	−37.2847	+	33.2527i	−1.36144	+	1.21422i
$751$	0.0244752	+	0.0358985i	0.000893113	+	0.00130996i	0.826685	−	0.562665i	$-0.190224\pi$
$751$	0.0244752	+	0.0358985i	0.000893113	+	0.00130996i	−0.825792	+	0.563975i	$0.809271\pi$
$752$	−23.6321	+	1.67599i	−0.861774	+	0.0611172i
$753$	1.33099	+	2.30534i	0.0485038	+	0.0840111i
$754$	2.98553	−	3.59607i	0.108726	−	0.130961i
$755$	1.74354	+	7.63895i	0.0634539	+	0.278010i
$756$	4.96862	+	1.82012i	0.180707	+	0.0661973i
$757$	−2.99650	+	13.1285i	−0.108910	+	0.477164i	0.890830	+	0.454337i	$0.150124\pi$
$757$	−2.99650	+	13.1285i	−0.108910	+	0.477164i	−0.999739	+	0.0228268i	$0.992733\pi$
$758$	−13.5650	−	17.7149i	−0.492705	−	0.643436i
$759$	6.52077	+	0.982847i	0.236689	+	0.0356751i
$760$	−8.59553	−	6.63663i	−0.311793	−	0.240736i
$761$	−5.38390	+	5.80247i	−0.195166	+	0.210339i	−0.823052	−	0.567967i	$-0.807730\pi$
$761$	−5.38390	+	5.80247i	−0.195166	+	0.210339i	0.627885	+	0.778306i	$0.283921\pi$
$762$	11.0611	−	26.6285i	0.400701	−	0.964649i
$763$	10.6278	+	5.28330i	0.384751	+	0.191268i
$764$	38.3943	+	4.40374i	1.38906	+	0.159322i
$765$	−9.13972	+	15.8305i	−0.330447	+	0.572351i
$766$	−12.1088	+	4.47915i	−0.437509	+	0.161838i
$767$	1.44680	+	1.55928i	0.0522408	+	0.0563022i
$768$	−11.6414	−	10.9762i	−0.420074	−	0.396070i
$769$	−8.43681	−	6.72813i	−0.304239	−	0.242622i	0.459455	−	0.888201i	$-0.348045\pi$
$769$	−8.43681	−	6.72813i	−0.304239	−	0.242622i	−0.763694	+	0.645579i	$0.776616\pi$
$770$	−65.3081	−	40.5676i	−2.35354	−	1.46196i
$771$	3.09220	−	2.46594i	0.111363	−	0.0888088i
$772$	22.1295	+	16.4007i	0.796457	+	0.590275i
$773$	12.0408	+	4.72567i	0.433078	+	0.169971i	0.571858	−	0.820353i	$-0.306223\pi$
$773$	12.0408	+	4.72567i	0.433078	+	0.169971i	−0.138780	+	0.990323i	$0.544318\pi$
$774$	−0.961050	+	10.1396i	−0.0345442	+	0.364461i
$775$	−20.1133	−	51.2479i	−0.722492	−	1.84088i
$776$	7.43665	+	0.440007i	0.266960	+	0.0157953i
$777$	19.1315	−	12.6951i	0.686340	−	0.455433i
$778$	14.9395	−	21.0108i	0.535608	−	0.753272i
$779$	−1.90726	−	0.142929i	−0.0683347	−	0.00512097i
$780$	−3.19447	−	0.125924i	−0.114380	−	0.00450880i
$781$	−16.6252	−	11.3349i	−0.594897	−	0.405594i
$782$	−0.163425	+	8.29484i	−0.00584408	+	0.296623i
$783$	−8.83637			−0.315786
$784$	−27.1052	−	7.02186i	−0.968044	−	0.250781i
$785$	24.6178			0.878647
$786$	−0.00406344	+	0.206245i	−0.000144938	+	0.00735651i
$787$	14.7942	+	10.0865i	0.527357	+	0.359546i	0.797543	−	0.603262i	$-0.206133\pi$
$787$	14.7942	+	10.0865i	0.527357	+	0.359546i	−0.270186	+	0.962808i	$0.587085\pi$
$788$	−30.0567	−	1.18482i	−1.07073	−	0.0422074i
$789$	5.73964	+	0.430126i	0.204336	+	0.0153129i
$790$	43.4046	−	61.0437i	1.54427	−	2.17184i
$791$	11.4843	+	10.9271i	0.408335	+	0.388524i
$792$	−13.5747	−	0.803179i	−0.482356	−	0.0285397i
$793$	−0.961585	−	2.45008i	−0.0341469	−	0.0870048i
$794$	−4.89183	+	51.6115i	−0.173604	+	1.83162i
$795$	15.2891	+	6.00051i	0.542247	+	0.212816i
$796$	1.15142	+	0.853350i	0.0408111	+	0.0302462i
$797$	3.99856	−	3.18874i	0.141636	−	0.112951i	−0.550109	−	0.835093i	$-0.685414\pi$
$797$	3.99856	−	3.18874i	0.141636	−	0.112951i	0.691745	+	0.722142i	$0.256842\pi$
$798$	−3.16692	+	1.12652i	−0.112108	+	0.0398782i
$799$	−19.8057	−	15.7945i	−0.700674	−	0.558769i
$800$	18.4273	−	72.7444i	0.651504	−	2.57190i
$801$	10.3721	+	11.1785i	0.366482	+	0.394973i
$802$	17.8163	−	6.59041i	0.629116	−	0.232716i
$803$	24.8356	−	43.0165i	0.876430	−	1.51802i
$804$	8.40424	+	0.963949i	0.296395	+	0.0339959i
$805$	9.51719	+	12.2462i	0.335437	+	0.431623i
$806$	0.842062	−	2.02718i	0.0296604	−	0.0714045i
$807$	11.1634	−	12.0313i	0.392971	−	0.423522i
$808$	13.4680	+	10.3986i	0.473801	+	0.365823i
$809$	33.8850	+	5.10734i	1.19133	+	0.179564i	0.714632	−	0.699501i	$-0.246594\pi$
$809$	33.8850	+	5.10734i	1.19133	+	0.179564i	0.476701	+	0.879066i	$0.341832\pi$
$810$	3.67463	+	4.79880i	0.129113	+	0.168613i
$811$	−1.27438	+	5.58344i	−0.0447497	+	0.196061i	−0.992362	−	0.123363i	$-0.960632\pi$
$811$	−1.27438	+	5.58344i	−0.0447497	+	0.196061i	0.947612	+	0.319424i	$0.103489\pi$
$812$	46.5349	−	4.55892i	1.63305	−	0.159987i
$813$	1.56180	+	6.84269i	0.0547747	+	0.239984i
$814$	−37.6907	+	45.3984i	−1.32106	+	1.59121i
$815$	34.3006	+	59.4104i	1.20150	+	2.08106i
$816$	−1.21028	−	17.0653i	−0.0423682	−	0.597407i
$817$	−3.64460	−	5.34564i	−0.127508	−	0.187020i
$818$	−0.177596	+	0.158391i	−0.00620951	+	0.00553800i
$819$	−0.567644	+	0.810546i	−0.0198351	+	0.0283228i
$820$	−5.97614	−	17.1890i	−0.208696	−	0.600265i
$821$	6.11683	+	1.88679i	0.213479	+	0.0658495i	0.399650	−	0.916668i	$-0.369132\pi$
$821$	6.11683	+	1.88679i	0.213479	+	0.0658495i	−0.186171	+	0.982517i	$0.559608\pi$
$822$	−9.62033	−	5.80993i	−0.335548	−	0.202645i
$823$	16.9203	−	1.26800i	0.589806	−	0.0441998i	0.223515	−	0.974700i	$-0.428247\pi$
$823$	16.9203	−	1.26800i	0.589806	−	0.0441998i	0.366290	+	0.930501i	$0.380628\pi$
$824$	−23.1836	−	3.12293i	−0.807639	−	0.108792i
$825$	−27.6724	−	57.4624i	−0.963430	−	2.00058i
$826$	−0.686023	+	21.2686i	−0.0238698	+	0.740030i
$827$	7.22729	−	15.0076i	0.251317	−	0.521866i	−0.736698	−	0.676222i	$-0.763616\pi$
$827$	7.22729	−	15.0076i	0.251317	−	0.521866i	0.988015	+	0.154356i	$0.0493303\pi$
$828$	2.51215	+	1.10202i	0.0873031	+	0.0382979i
$829$	3.40922	+	11.0524i	0.118407	+	0.383867i	0.995302	−	0.0968149i	$-0.0308655\pi$
$829$	3.40922	+	11.0524i	0.118407	+	0.383867i	−0.876895	+	0.480682i	$0.840389\pi$
$830$	34.6931	+	33.4862i	1.20422	+	1.16232i
$831$	28.3648	−	4.27531i	0.983964	−	0.148309i
$832$	2.54299	−	1.57668i	0.0881624	−	0.0546614i
$833$	−16.2396	−	25.1524i	−0.562668	−	0.871478i
$834$	−3.86976	+	22.6387i	−0.133999	+	0.783915i
$835$	−13.1239	−	87.0712i	−0.454170	−	3.01322i
$836$	6.96045	−	5.11559i	0.240732	−	0.176926i
$837$	−3.96569	+	1.22325i	−0.137074	+	0.0422819i
$838$	19.2508	+	4.79471i	0.665008	+	0.165631i
$839$	−2.60590	−	1.25493i	−0.0899656	−	0.0433252i	0.388360	−	0.921508i	$-0.373042\pi$
$839$	−2.60590	−	1.25493i	−0.0899656	−	0.0433252i	−0.478325	+	0.878183i	$0.658756\pi$
$840$	−21.8275	−	23.3760i	−0.753121	−	0.806550i
$841$	−44.2209	+	21.2957i	−1.52486	+	0.734333i
$842$	49.8172	−	10.3424i	1.71681	−	0.356424i
$843$	1.39621	+	18.6312i	0.0480881	+	0.641692i
$844$	−39.1812	−	33.8547i	−1.34867	−	1.16533i
$845$	−16.2003	+	52.5202i	−0.557309	+	1.80675i
$846$	−7.33509	+	4.04439i	−0.252185	+	0.139049i
$847$	23.7677	−	21.5047i	0.816668	−	0.738911i
$848$	−15.0002	+	3.36066i	−0.515109	+	0.115405i
$849$	−22.1356	+	15.0918i	−0.759692	+	0.517949i
$850$	67.1747	−	43.8860i	2.30407	−	1.50528i
$851$	10.3085	−	5.95160i	0.353370	−	0.204018i
$852$	−5.44723	−	6.35545i	−0.186619	−	0.217734i
$853$	38.3580	−	8.75496i	1.31335	−	0.299764i	0.492205	−	0.870479i	$-0.336191\pi$
$853$	38.3580	−	8.75496i	1.31335	−	0.299764i	0.821148	+	0.570715i	$0.193334\pi$
$854$	10.4049	−	24.1879i	0.356050	−	0.827692i
$855$	−3.74314	−	0.854347i	−0.128013	−	0.0292181i
$856$	−4.79086	−	14.7076i	−0.163748	−	0.502697i
$857$	5.89331	−	39.0996i	0.201312	−	1.33562i	−0.628603	−	0.777726i	$-0.716373\pi$
$857$	5.89331	−	39.0996i	0.201312	−	1.33562i	0.829915	−	0.557890i	$-0.188389\pi$
$858$	0.797284	−	2.41479i	0.0272188	−	0.0824394i
$859$	−11.8905	−	11.0328i	−0.405698	−	0.376433i	0.450763	−	0.892643i	$-0.351152\pi$
$859$	−11.8905	−	11.0328i	−0.405698	−	0.376433i	−0.856462	+	0.516210i	$0.827342\pi$
$860$	32.8559	−	52.0586i	1.12038	−	1.77518i
$861$	−5.47548	−	1.32222i	−0.186604	−	0.0450611i
$862$	2.59330	+	47.0174i	0.0883282	+	1.60142i
$863$	3.92211	+	2.26443i	0.133510	+	0.0770821i	0.565267	−	0.824908i	$-0.308773\pi$
$863$	3.92211	+	2.26443i	0.133510	+	0.0770821i	−0.431757	+	0.901990i	$0.642106\pi$
$864$	−5.36451	−	1.79501i	−0.182504	−	0.0610673i
$865$	−48.0709	+	44.6033i	−1.63446	+	1.51656i
$866$	25.6263	−	11.7249i	0.870818	−	0.398427i
$867$	0.806282	−	1.01105i	0.0273828	−	0.0343369i
$868$	20.2534	−	8.48802i	0.687445	−	0.288102i
$869$	37.1478	+	46.5818i	1.26015	+	1.58018i
$870$	47.6532	+	24.1163i	1.61560	+	0.817618i
$871$	−0.577953	+	1.47260i	−0.0195832	+	0.0498972i
$872$	−11.5165	−	5.32496i	−0.389999	−	0.180326i
$873$	2.45178	−	0.962253i	0.0829802	−	0.0325673i
$874$	−1.67496	+	0.480735i	−0.0566563	+	0.0162611i
$875$	28.6673	−	88.9595i	0.969132	−	3.00738i
$876$	14.6400	−	14.5816i	0.494641	−	0.492668i
$877$	2.39757	−	31.9934i	0.0809603	−	1.08034i	−0.797751	−	0.602987i	$-0.793977\pi$
$877$	2.39757	−	31.9934i	0.0809603	−	1.08034i	0.878711	−	0.477353i	$-0.158404\pi$
$878$	−3.01527	−	23.0815i	−0.101760	−	0.778962i
$879$	−2.35689	+	3.45693i	−0.0794960	+	0.116599i
$880$	71.0142	+	41.3795i	2.39389	+	1.39490i
$881$		−	57.0532i		−	1.92217i	−0.276249	−	0.961086i	$-0.589091\pi$
$881$		−	57.0532i		−	1.92217i	0.276249	−	0.961086i	$-0.410909\pi$
$882$	−9.74024	+	1.76851i	−0.327971	+	0.0595489i
$883$		−	16.2821i		−	0.547938i	−0.961739	−	0.273969i	$-0.911663\pi$
$883$		−	16.2821i		−	0.547938i	0.961739	−	0.273969i	$-0.0883365\pi$
$884$	3.14238	+	0.601080i	0.105690	+	0.0202165i
$885$	−13.6922	+	20.0828i	−0.460259	+	0.675076i
$886$	11.2645	−	1.47155i	0.378439	−	0.0494377i
$887$	2.75095	−	36.7089i	0.0923680	−	1.23256i	−0.737788	−	0.675033i	$-0.764129\pi$
$887$	2.75095	−	36.7089i	0.0923680	−	1.23256i	0.830156	−	0.557532i	$-0.188252\pi$
$888$	−20.0610	+	14.1438i	−0.673204	+	0.474635i
$889$	7.37022	+	53.4384i	0.247189	+	1.79227i
$890$	−25.4270	−	88.5917i	−0.852314	−	2.96960i
$891$	−4.47543	+	1.75648i	−0.149933	+	0.0588442i
$892$	5.54783	−	20.5404i	0.185755	−	0.687745i
$893$	1.94391	−	4.95300i	0.0650504	−	0.165746i
$894$	9.64037	−	19.0492i	0.322422	−	0.637099i
$895$	8.21551	+	10.3019i	0.274614	+	0.344355i
$896$	29.1772	+	6.68533i	0.974740	+	0.223341i
$897$	−0.319852	+	0.401082i	−0.0106796	+	0.0133917i
$898$	4.66719	+	10.2008i	0.155746	+	0.340405i
$899$	−26.8822	+	24.9430i	−0.896570	+	0.831895i
$900$	−4.88037	−	26.0787i	−0.162679	−	0.869289i
$901$	−14.2346	−	8.21838i	−0.474225	−	0.273794i
$902$	14.4537	−	0.797212i	0.481256	−	0.0265442i
$903$	−8.05144	−	17.2699i	−0.267935	−	0.574706i
$904$	−12.6023	−	11.3302i	−0.419145	−	0.376837i
$905$	−2.63224	−	2.44236i	−0.0874986	−	0.0811869i
$906$	−2.46201	−	0.812877i	−0.0817949	−	0.0270060i
$907$	1.21513	−	8.06189i	0.0403479	−	0.267691i	−0.959557	−	0.281516i	$-0.909163\pi$
$907$	1.21513	−	8.06189i	0.0403479	−	0.267691i	0.999904	+	0.0138253i	$0.00440088\pi$
$908$	−16.7786	−	31.9009i	−0.556818	−	1.05867i
$909$	5.86496	+	1.33864i	0.194529	+	0.0443999i
$910$	5.27337	−	2.82193i	0.174810	−	0.0935462i
$911$	18.7584	−	4.28149i	0.621495	−	0.141852i	0.0998326	−	0.995004i	$-0.468169\pi$
$911$	18.7584	−	4.28149i	0.621495	−	0.141852i	0.521662	+	0.853152i	$0.325312\pi$
$912$	3.35022	−	1.29943i	0.110937	−	0.0430285i
$913$	−33.2160	+	19.1773i	−1.09929	+	0.634675i
$914$	−20.6559	−	31.6172i	−0.683236	−	1.04581i
$915$	24.8499	−	16.9424i	0.821514	−	0.560099i
$916$	1.22911	+	1.96483i	0.0406109	+	0.0649197i
$917$	−0.188754	−	0.336614i	−0.00623321	−	0.0111160i
$918$	−2.92056	−	5.29686i	−0.0963929	−	0.174822i
$919$	−2.91393	+	9.44674i	−0.0961218	+	0.311619i	−0.990845	−	0.135001i	$-0.956896\pi$
$919$	−2.91393	+	9.44674i	−0.0961218	+	0.311619i	0.894724	+	0.446620i	$0.147372\pi$
$920$	−10.5400	−	12.7992i	−0.347493	−	0.421977i
$921$	−0.320849	−	4.28143i	−0.0105723	−	0.141078i
$922$	−0.270057	−	1.30080i	−0.00889385	−	0.0428396i
$923$	1.41031	−	0.679170i	0.0464210	−	0.0223552i
$924$	22.6627	−	11.5591i	0.745548	−	0.380267i
$925$	−103.722	−	49.9499i	−3.41036	−	1.64234i
$926$	−3.07294	+	12.3379i	−0.100983	+	0.405448i
$927$	−7.90323	+	2.43782i	−0.259576	+	0.0800686i
$928$	−49.5904	+	6.27673i	−1.62789	+	0.206044i
$929$	−7.09634	−	47.0812i	−0.232824	−	1.54468i	−0.733886	−	0.679272i	$-0.762296\pi$
$929$	−7.09634	−	47.0812i	−0.232824	−	1.54468i	0.501063	−	0.865411i	$-0.332943\pi$
$930$	24.7249	+	4.22636i	0.810761	+	0.138588i
$931$	4.04289	−	4.81660i	0.132500	−	0.157858i
$932$	21.6143	+	7.61169i	0.707999	+	0.249329i
$933$	−32.2713	+	4.86412i	−1.05652	+	0.159244i
$934$	33.0509	−	34.2422i	1.08146	−	1.12044i
$935$	25.9041	+	83.9789i	0.847154	+	2.74640i
$936$	0.582123	−	0.883302i	0.0190273	−	0.0288716i
$937$	−20.4256	+	42.4142i	−0.667275	+	1.38561i	0.242353	+	0.970188i	$0.422081\pi$
$937$	−20.4256	+	42.4142i	−0.667275	+	1.38561i	−0.909628	+	0.415424i	$0.863633\pi$
$938$	−14.4727	+	6.40339i	−0.472550	+	0.209078i
$939$	−7.26946	−	15.0952i	−0.237230	−	0.492613i
$940$	50.5950	−	1.79185i	1.65023	−	0.0584438i
$941$	25.8237	−	1.93522i	0.841829	−	0.0630864i	0.353168	−	0.935560i	$-0.385104\pi$
$941$	25.8237	−	1.93522i	0.841829	−	0.0630864i	0.488661	+	0.872474i	$0.337485\pi$
$942$	−4.21119	+	6.97307i	−0.137208	+	0.227195i
$943$	−2.79047	−	0.860745i	−0.0908701	−	0.0280297i
$944$	0.0909538	−	22.7487i	0.00296029	−	0.740409i
$945$	−10.4732	−	4.26281i	−0.340694	−	0.138669i
$946$	32.5928	+	36.5448i	1.05968	+	1.18817i
$947$	−19.6163	−	28.7718i	−0.637444	−	0.934958i	−0.999996	−	0.00299479i	$-0.999047\pi$
$947$	−19.6163	−	28.7718i	−0.637444	−	0.934958i	0.362552	−	0.931964i	$-0.381906\pi$
$948$	9.86590	+	22.7368i	0.320430	+	0.738457i
$949$	1.93205	+	3.34641i	0.0627170	+	0.108629i
$950$	12.9671	+	10.7655i	0.420707	+	0.349279i
$951$	5.87917	+	25.7583i	0.190645	+	0.835271i
$952$	18.1133	+	26.3880i	0.587056	+	0.855240i
$953$	−6.77904	+	29.7009i	−0.219595	+	0.962107i	0.738184	+	0.674600i	$0.235684\pi$
$953$	−6.77904	+	29.7009i	−0.219595	+	0.962107i	−0.957778	+	0.287507i	$0.907173\pi$
$954$	−4.31505	+	3.30421i	−0.139705	+	0.106978i
$955$	−81.6610	−	12.3084i	−2.64249	−	0.398291i
$956$	−11.2808	+	21.2415i	−0.364849	+	0.687000i
$957$	−28.8960	+	31.1424i	−0.934074	+	1.00669i
$958$	−33.4007	−	13.8741i	−1.07913	−	0.448253i
$959$	21.0238	+	0.263747i	0.678895	+	0.00851684i
$960$	24.0311	+	24.3210i	0.775599	+	0.784958i
$961$	6.88846	−	11.9312i	0.222208	−	0.384876i
$962$	−1.59250	−	4.30512i	−0.0513443	−	0.138803i
$963$	−3.71977	−	4.00896i	−0.119868	−	0.129187i
$964$	14.3423	+	53.9573i	0.461934	+	1.73785i
$965$	−46.0188	−	36.6988i	−1.48140	−	1.18138i
$966$	−5.09682	+	0.600902i	−0.163987	+	0.0193337i
$967$	−33.4754	+	26.6957i	−1.07650	+	0.858476i	−0.990458	−	0.137816i	$-0.955992\pi$
$967$	−33.4754	+	26.6957i	−1.07650	+	0.858476i	−0.0860372	+	0.996292i	$0.527420\pi$
$968$	−24.7493	+	23.6979i	−0.795474	+	0.761681i
$969$	3.57669	+	1.40375i	0.114900	+	0.0450948i
$970$	−15.8483	−	1.50213i	−0.508858	−	0.0482303i
$971$	4.35971	+	11.1084i	0.139910	+	0.356484i	0.983605	−	0.180339i	$-0.0577195\pi$
$971$	4.35971	+	11.1084i	0.139910	+	0.356484i	−0.843695	+	0.536823i	$0.819624\pi$
$972$	−1.98787	+	0.219955i	−0.0637609	+	0.00705508i
$973$	−15.1948	−	40.1911i	−0.487123	−	1.28847i
$974$	−29.9295	−	21.2812i	−0.959004	−	0.681892i
$975$	4.94768	+	0.370777i	0.158453	+	0.0118744i
$976$	−10.3886	+	26.1618i	−0.332532	+	0.837418i
$977$	−2.74442	−	1.87111i	−0.0878017	−	0.0598622i	0.518623	−	0.855003i	$-0.326445\pi$
$977$	−2.74442	−	1.87111i	−0.0878017	−	0.0598622i	−0.606425	+	0.795141i	$0.707397\pi$
$978$	−22.6958	−	0.447153i	−0.725730	−	0.0142984i
$979$	73.3150			2.34316
$980$	57.3543	+	17.0458i	1.83212	+	0.544508i
$981$	−4.48589			−0.143223
$982$	26.8036	+	0.528085i	0.855337	+	0.0168519i
$983$	−46.2438	−	31.5285i	−1.47495	−	1.00560i	−0.991483	−	0.130239i	$-0.958425\pi$
$983$	−46.2438	−	31.5285i	−1.47495	−	1.00560i	−0.483465	−	0.875363i	$-0.660622\pi$
$984$	5.89112	+	1.24763i	0.187802	+	0.0397731i
$985$	64.0990	+	4.80355i	2.04236	+	0.153054i
$986$	−43.5594	−	30.9725i	−1.38721	−	0.986366i
$987$	8.00483	−	13.4716i	0.254797	−	0.428807i
$988$	0.0739040	+	0.667914i	0.00235120	+	0.0212492i
$989$	−3.60894	−	9.19544i	−0.114758	−	0.292398i
$990$	28.9291	+	2.74195i	0.919427	+	0.0871448i
$991$	24.7271	+	9.70467i	0.785482	+	0.308279i	0.723974	−	0.689827i	$-0.242314\pi$
$991$	24.7271	+	9.70467i	0.785482	+	0.308279i	0.0615086	+	0.998107i	$0.480409\pi$
$992$	−21.3869	+	9.68195i	−0.679034	+	0.307402i
$993$	4.93326	−	3.93414i	0.156552	−	0.124846i
$994$	14.8073	+	5.09577i	0.469660	+	0.161628i
$995$	−2.39442	−	1.90948i	−0.0759081	−	0.0605347i
$996$	−15.4198	+	4.09870i	−0.488594	+	0.129872i
$997$	−2.44638	−	2.63657i	−0.0774775	−	0.0835009i	0.693123	−	0.720819i	$-0.256234\pi$
$997$	−2.44638	−	2.63657i	−0.0774775	−	0.0835009i	−0.770601	+	0.637318i	$0.780044\pi$
$998$	10.4178	+	28.1632i	0.329770	+	0.891490i
$999$	−4.33911	+	7.51556i	−0.137283	+	0.237782i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.ba.a.103.16	✓	336
4.3	odd	2		588.2.ba.b.103.17	yes	336
49.10	odd	42		588.2.ba.b.451.17	yes	336
196.59	even	42	inner	588.2.ba.a.451.16	yes	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.ba.a.103.16	✓	336	1.1	even	1	trivial
588.2.ba.a.451.16	yes	336	196.59	even	42	inner
588.2.ba.b.103.17	yes	336	4.3	odd	2
588.2.ba.b.451.17	yes	336	49.10	odd	42

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.ba (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0278575 - 1.41394i) q^{2} +(-0.826239 - 0.563320i) q^{3} +(-1.99845 - 0.0787776i) q^{4} +(4.26189 + 0.319384i) q^{5} +(-0.819517 + 1.15256i) q^{6} +(0.230798 - 2.63567i) q^{7} +(-0.167058 + 2.82349i) q^{8} +(0.365341 + 0.930874i) q^{9} +O(q^{10})\)	\(q+(0.0278575 - 1.41394i) q^{2} +(-0.826239 - 0.563320i) q^{3} +(-1.99845 - 0.0787776i) q^{4} +(4.26189 + 0.319384i) q^{5} +(-0.819517 + 1.15256i) q^{6} +(0.230798 - 2.63567i) q^{7} +(-0.167058 + 2.82349i) q^{8} +(0.365341 + 0.930874i) q^{9} +(0.570316 - 6.01715i) q^{10} +(4.47543 + 1.75648i) q^{11} +(1.60682 + 1.19085i) q^{12} +(-0.292416 + 0.233194i) q^{13} +(-3.72024 - 0.399757i) q^{14} +(-3.34142 - 2.66469i) q^{15} +(3.98759 + 0.314866i) q^{16} +(2.90913 + 3.13530i) q^{17} +(1.32638 - 0.490638i) q^{18} +(-0.449175 + 0.777994i) q^{19} +(-8.49200 - 0.974014i) q^{20} +(-1.67542 + 2.04768i) q^{21} +(2.60822 - 6.27905i) q^{22} +(-0.932936 + 1.00547i) q^{23} +(1.72856 - 2.23877i) q^{24} +(13.1175 + 1.97715i) q^{25} +(0.321576 + 0.419954i) q^{26} +(0.222521 - 0.974928i) q^{27} +(-0.668868 + 5.24906i) q^{28} +(-1.96628 - 8.61483i) q^{29} +(-3.86080 + 4.65034i) q^{30} +(-2.07503 - 3.59407i) q^{31} +(0.556285 - 5.62944i) q^{32} +(-2.70831 - 3.97237i) q^{33} +(4.51417 - 4.02600i) q^{34} +(1.82542 - 11.1592i) q^{35} +(-0.656783 - 1.88908i) q^{36} +(-8.29267 - 2.55795i) q^{37} +(1.08752 + 0.656779i) q^{38} +(0.372968 - 0.0279501i) q^{39} +(-1.61376 + 11.9800i) q^{40} +(0.923749 + 1.91818i) q^{41} +(2.84862 + 2.42598i) q^{42} +(-3.12480 + 6.48871i) q^{43} +(-8.80554 - 3.86279i) q^{44} +(1.25974 + 4.08396i) q^{45} +(1.39568 + 1.34712i) q^{46} +(-5.85671 + 0.882757i) q^{47} +(-3.11733 - 2.50644i) q^{48} +(-6.89346 - 1.21661i) q^{49} +(3.16099 - 18.4923i) q^{50} +(-0.637462 - 4.22928i) q^{51} +(0.602748 - 0.442990i) q^{52} +(-3.67228 + 1.13275i) q^{53} +(-1.37229 - 0.341790i) q^{54} +(18.5128 + 8.91529i) q^{55} +(7.40322 + 1.09196i) q^{56} +(0.809385 - 0.389779i) q^{57} +(-12.2356 + 2.54021i) q^{58} +(-0.425007 - 5.67133i) q^{59} +(6.46774 + 5.58848i) q^{60} +(-2.07426 + 6.72458i) q^{61} +(-5.13960 + 2.83385i) q^{62} +(2.53779 - 0.748073i) q^{63} +(-7.94418 - 0.943376i) q^{64} +(-1.32072 + 0.900453i) q^{65} +(-5.69213 + 3.71873i) q^{66} +(3.66300 - 2.11484i) q^{67} +(-5.56676 - 6.49491i) q^{68} +(1.33723 - 0.305213i) q^{69} +(-15.7276 - 2.89191i) q^{70} +(-4.08028 - 0.931298i) q^{71} +(-2.68935 + 0.876026i) q^{72} +(1.53982 - 10.2160i) q^{73} +(-3.84780 + 11.6541i) q^{74} +(-9.72444 - 9.02297i) q^{75} +(0.958941 - 1.51939i) q^{76} +(5.66240 - 11.3903i) q^{77} +(-0.0291298 - 0.528133i) q^{78} +(10.7322 + 6.19626i) q^{79} +(16.8941 + 2.61550i) q^{80} +(-0.733052 + 0.680173i) q^{81} +(2.73793 - 1.25269i) q^{82} +(-4.97396 + 6.23714i) q^{83} +(3.50954 - 3.96019i) q^{84} +(11.3970 + 14.2914i) q^{85} +(9.08760 + 4.59904i) q^{86} +(-3.22829 + 8.22555i) q^{87} +(-5.70705 + 12.3429i) q^{88} +(14.1952 - 5.57119i) q^{89} +(5.80957 - 1.66742i) q^{90} +(0.547132 + 0.824531i) q^{91} +(1.94363 - 1.93588i) q^{92} +(-0.310135 + 4.13846i) q^{93} +(1.08501 + 8.30562i) q^{94} +(-2.16281 + 3.17226i) q^{95} +(-3.63080 + 4.33789i) q^{96} -2.63385i q^{97} +(-1.91225 + 9.71305i) q^{98} +4.80777i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9}+O(q^{10}) \) 336 * q - 28 * q^3 + 2 * q^7 - 6 * q^8 + 28 * q^9	\( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9} + 41 q^{10} + 6 q^{11} + 52 q^{14} + 20 q^{16} - 6 q^{19} - 25 q^{20} + 4 q^{21} + 6 q^{22} + 9 q^{24} - 26 q^{25} - 18 q^{26} + 56 q^{27} + 5 q^{30} + 2 q^{31} + 15 q^{32} + 6 q^{33} + 44 q^{34} - 12 q^{35} + 16 q^{37} - 100 q^{38} + 8 q^{39} - 7 q^{40} - 7 q^{42} - 53 q^{44} - 10 q^{46} + 4 q^{47} + 8 q^{48} - 4 q^{49} - 114 q^{50} - 28 q^{52} - 4 q^{53} + q^{56} - 12 q^{57} + 27 q^{58} - 10 q^{59} - 7 q^{60} + 2 q^{61} - 16 q^{62} - 12 q^{63} - 84 q^{64} - 4 q^{65} + 21 q^{66} + 42 q^{67} + 26 q^{68} - 70 q^{70} + 28 q^{71} + 15 q^{72} + 18 q^{73} + 20 q^{74} + 54 q^{75} + 49 q^{76} - 8 q^{77} - 6 q^{78} - 6 q^{79} - 40 q^{80} + 28 q^{81} - 99 q^{82} + 10 q^{83} + 54 q^{84} + 24 q^{85} - 314 q^{86} - 40 q^{88} + 20 q^{90} - 34 q^{91} + 14 q^{92} - 2 q^{93} - 152 q^{94} - 24 q^{95} - 10 q^{96} - 156 q^{98}+O(q^{100}) \) 336 * q - 28 * q^3 + 2 * q^7 - 6 * q^8 + 28 * q^9 + 41 * q^10 + 6 * q^11 + 52 * q^14 + 20 * q^16 - 6 * q^19 - 25 * q^20 + 4 * q^21 + 6 * q^22 + 9 * q^24 - 26 * q^25 - 18 * q^26 + 56 * q^27 + 5 * q^30 + 2 * q^31 + 15 * q^32 + 6 * q^33 + 44 * q^34 - 12 * q^35 + 16 * q^37 - 100 * q^38 + 8 * q^39 - 7 * q^40 - 7 * q^42 - 53 * q^44 - 10 * q^46 + 4 * q^47 + 8 * q^48 - 4 * q^49 - 114 * q^50 - 28 * q^52 - 4 * q^53 + q^56 - 12 * q^57 + 27 * q^58 - 10 * q^59 - 7 * q^60 + 2 * q^61 - 16 * q^62 - 12 * q^63 - 84 * q^64 - 4 * q^65 + 21 * q^66 + 42 * q^67 + 26 * q^68 - 70 * q^70 + 28 * q^71 + 15 * q^72 + 18 * q^73 + 20 * q^74 + 54 * q^75 + 49 * q^76 - 8 * q^77 - 6 * q^78 - 6 * q^79 - 40 * q^80 + 28 * q^81 - 99 * q^82 + 10 * q^83 + 54 * q^84 + 24 * q^85 - 314 * q^86 - 40 * q^88 + 20 * q^90 - 34 * q^91 + 14 * q^92 - 2 * q^93 - 152 * q^94 - 24 * q^95 - 10 * q^96 - 156 * q^98

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