LMFDB - Embedded newform 588.2.ba.a.103.7

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			103.7
Character	$\chi$	$=$	588.103
Dual form			588.2.ba.a.451.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.08950 - 0.901663i) q^{2} +(-0.826239 - 0.563320i) q^{3} +(0.374008 + 1.96472i) q^{4} +(2.88553 + 0.216241i) q^{5} +(0.392260 + 1.35872i) q^{6} +(0.232552 + 2.63551i) q^{7} +(1.36403 - 2.47778i) q^{8} +(0.365341 + 0.930874i) q^{9} +O(q^{10})$	\(q+(-1.08950 - 0.901663i) q^{2} +(-0.826239 - 0.563320i) q^{3} +(0.374008 + 1.96472i) q^{4} +(2.88553 + 0.216241i) q^{5} +(0.392260 + 1.35872i) q^{6} +(0.232552 + 2.63551i) q^{7} +(1.36403 - 2.47778i) q^{8} +(0.365341 + 0.930874i) q^{9} +(-2.94880 - 2.83737i) q^{10} +(0.662019 + 0.259823i) q^{11} +(0.797745 - 1.83401i) q^{12} +(-0.815816 + 0.650592i) q^{13} +(2.12298 - 3.08107i) q^{14} +(-2.26233 - 1.80415i) q^{15} +(-3.72024 + 1.46964i) q^{16} +(2.08730 + 2.24958i) q^{17} +(0.441296 - 1.34360i) q^{18} +(-2.77920 + 4.81371i) q^{19} +(0.654361 + 5.75014i) q^{20} +(1.29249 - 2.30856i) q^{21} +(-0.486995 - 0.879995i) q^{22} +(-5.95146 + 6.41415i) q^{23} +(-2.52280 + 1.27886i) q^{24} +(3.33539 + 0.502729i) q^{25} +(1.47544 + 0.0267732i) q^{26} +(0.222521 - 0.974928i) q^{27} +(-5.09106 + 1.44260i) q^{28} +(0.518353 + 2.27105i) q^{29} +(0.838068 + 4.00547i) q^{30} +(-2.60996 - 4.52059i) q^{31} +(5.37831 + 1.75323i) q^{32} +(-0.400622 - 0.587605i) q^{33} +(-0.245751 - 4.33296i) q^{34} +(0.101133 + 7.65514i) q^{35} +(-1.69226 + 1.06595i) q^{36} +(2.37063 + 0.731244i) q^{37} +(7.36828 - 2.73863i) q^{38} +(1.04055 - 0.0779785i) q^{39} +(4.47176 - 6.85477i) q^{40} +(0.177582 + 0.368753i) q^{41} +(-3.48971 + 1.34978i) q^{42} +(2.48665 - 5.16357i) q^{43} +(-0.262879 + 1.39786i) q^{44} +(0.852911 + 2.76507i) q^{45} +(12.2675 - 1.62199i) q^{46} +(9.99959 - 1.50720i) q^{47} +(3.90168 + 0.881408i) q^{48} +(-6.89184 + 1.22579i) q^{49} +(-3.18060 - 3.55512i) q^{50} +(-0.457379 - 3.03451i) q^{51} +(-1.58335 - 1.35952i) q^{52} +(10.1896 - 3.14308i) q^{53} +(-1.12149 + 0.861542i) q^{54} +(1.85409 + 0.892884i) q^{55} +(6.84744 + 3.01871i) q^{56} +(5.00794 - 2.41170i) q^{57} +(1.48298 - 2.94169i) q^{58} +(0.336241 + 4.48682i) q^{59} +(2.69851 - 5.11960i) q^{60} +(-2.10768 + 6.83293i) q^{61} +(-1.23250 + 7.27847i) q^{62} +(-2.36837 + 1.17934i) q^{63} +(-4.27883 - 6.75956i) q^{64} +(-2.49475 + 1.70089i) q^{65} +(-0.0933446 + 1.00142i) q^{66} +(4.13512 - 2.38742i) q^{67} +(-3.63912 + 4.94233i) q^{68} +(8.53055 - 1.94704i) q^{69} +(6.79217 - 8.43144i) q^{70} +(2.48545 + 0.567288i) q^{71} +(2.80484 + 0.364505i) q^{72} +(-1.13792 + 7.54962i) q^{73} +(-1.92346 - 2.93420i) q^{74} +(-2.47263 - 2.29426i) q^{75} +(-10.4970 - 3.65997i) q^{76} +(-0.530813 + 1.80518i) q^{77} +(-1.20399 - 0.853268i) q^{78} +(0.410495 + 0.236999i) q^{79} +(-11.0527 + 3.43624i) q^{80} +(-0.733052 + 0.680173i) q^{81} +(0.139016 - 0.561874i) q^{82} +(9.63374 - 12.0803i) q^{83} +(5.01908 + 1.67596i) q^{84} +(5.53654 + 6.94260i) q^{85} +(-7.36500 + 3.38358i) q^{86} +(0.851046 - 2.16843i) q^{87} +(1.54680 - 1.28593i) q^{88} +(-1.86448 + 0.731753i) q^{89} +(1.56392 - 3.78157i) q^{90} +(-1.90436 - 1.99880i) q^{91} +(-14.8279 - 9.29400i) q^{92} +(-0.390085 + 5.20533i) q^{93} +(-12.2535 - 7.37417i) q^{94} +(-9.06039 + 13.2892i) q^{95} +(-3.45614 - 4.47829i) q^{96} -18.5711i q^{97} +(8.61389 + 4.87862i) q^{98} +0.711180i 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 $

$2$	−1.08950	−	0.901663i	−0.770391	−	0.637572i
$2$	−1.08950	−	0.901663i	−0.770391	−	0.637572i
$3$	−0.826239	−	0.563320i	−0.477029	−	0.325233i
$3$	−0.826239	−	0.563320i	−0.477029	−	0.325233i
$4$	0.374008	+	1.96472i	0.187004	+	0.982359i
$5$	2.88553	+	0.216241i	1.29045	+	0.0967058i	0.702204	−	0.711976i	$-0.252200\pi$
$5$	2.88553	+	0.216241i	1.29045	+	0.0967058i	0.588246	+	0.808682i	$0.299819\pi$
$6$	0.392260	+	1.35872i	0.160140	+	0.554697i
$7$	0.232552	+	2.63551i	0.0878966	+	0.996130i
$7$	0.232552	+	2.63551i	0.0878966	+	0.996130i
$8$	1.36403	−	2.47778i	0.482258	−	0.876029i
$9$	0.365341	+	0.930874i	0.121780	+	0.310291i
$10$	−2.94880	−	2.83737i	−0.932494	−	0.897256i
$11$	0.662019	+	0.259823i	0.199606	+	0.0783397i	0.463038	−	0.886338i	$-0.346759\pi$
$11$	0.662019	+	0.259823i	0.199606	+	0.0783397i	−0.263432	+	0.964678i	$0.584854\pi$
$12$	0.797745	−	1.83401i	0.230289	−	0.529434i
$13$	−0.815816	+	0.650592i	−0.226267	+	0.180442i	−0.730061	−	0.683382i	$-0.760508\pi$
$13$	−0.815816	+	0.650592i	−0.226267	+	0.180442i	0.503794	+	0.863824i	$0.331937\pi$
$14$	2.12298	−	3.08107i	0.567390	−	0.823450i
$15$	−2.26233	−	1.80415i	−0.584130	−	0.465828i
$16$	−3.72024	+	1.46964i	−0.930059	+	0.367411i
$17$	2.08730	+	2.24958i	0.506246	+	0.545603i	0.933523	−	0.358517i	$-0.116718\pi$
$17$	2.08730	+	2.24958i	0.506246	+	0.545603i	−0.427277	+	0.904121i	$0.640527\pi$
$18$	0.441296	−	1.34360i	0.104015	−	0.316689i
$19$	−2.77920	+	4.81371i	−0.637592	+	1.10434i	0.348368	+	0.937358i	$0.386736\pi$
$19$	−2.77920	+	4.81371i	−0.637592	+	1.10434i	−0.985960	+	0.166984i	$0.946597\pi$
$20$	0.654361	+	5.75014i	0.146320	+	1.28577i
$21$	1.29249	−	2.30856i	0.282045	−	0.503770i
$22$	−0.486995	−	0.879995i	−0.103828	−	0.187615i
$23$	−5.95146	+	6.41415i	−1.24097	+	1.33744i	−0.320188	+	0.947354i	$0.603746\pi$
$23$	−5.95146	+	6.41415i	−1.24097	+	1.33744i	−0.920777	+	0.390089i	$0.872444\pi$
$24$	−2.52280	+	1.27886i	−0.514965	+	0.261045i
$25$	3.33539	+	0.502729i	0.667077	+	0.100546i
$26$	1.47544	+	0.0267732i	0.289358	+	0.00525067i
$27$	0.222521	−	0.974928i	0.0428242	−	0.187625i
$28$	−5.09106	+	1.44260i	−0.962120	+	0.272626i
$29$	0.518353	+	2.27105i	0.0962557	+	0.421724i	0.999980	−	0.00639198i	$-0.00203464\pi$
$29$	0.518353	+	2.27105i	0.0962557	+	0.421724i	−0.903724	+	0.428116i	$0.859178\pi$
$30$	0.838068	+	4.00547i	0.153010	+	0.731295i
$31$	−2.60996	−	4.52059i	−0.468763	−	0.811921i	0.530600	−	0.847623i	$-0.321967\pi$
$31$	−2.60996	−	4.52059i	−0.468763	−	0.811921i	−0.999363	+	0.0357014i	$0.988633\pi$
$32$	5.37831	+	1.75323i	0.950760	+	0.309930i
$33$	−0.400622	−	0.587605i	−0.0697393	−	0.102289i
$34$	−0.245751	−	4.33296i	−0.0421459	−	0.743096i
$35$	0.101133	+	7.65514i	0.0170946	+	1.29396i
$36$	−1.69226	+	1.06595i	−0.282044	+	0.177658i
$37$	2.37063	+	0.731244i	0.389730	+	0.120216i	0.483426	−	0.875385i	$-0.339392\pi$
$37$	2.37063	+	0.731244i	0.389730	+	0.120216i	−0.0936964	+	0.995601i	$0.529868\pi$
$38$	7.36828	−	2.73863i	1.19529	−	0.444264i
$39$	1.04055	−	0.0779785i	0.166621	−	0.0124866i
$40$	4.47176	−	6.85477i	0.707047	−	1.08383i
$41$	0.177582	+	0.368753i	0.0277336	+	0.0575895i	0.914375	−	0.404867i	$-0.132682\pi$
$41$	0.177582	+	0.368753i	0.0277336	+	0.0575895i	−0.886642	+	0.462457i	$0.846968\pi$
$42$	−3.48971	+	1.34978i	−0.538474	+	0.208276i
$43$	2.48665	−	5.16357i	0.379210	−	0.787437i	−0.620784	−	0.783982i	$-0.713186\pi$
$43$	2.48665	−	5.16357i	0.379210	−	0.787437i	0.999994	−	0.00345594i	$-0.00110006\pi$
$44$	−0.262879	+	1.39786i	−0.0396305	+	0.210735i
$45$	0.852911	+	2.76507i	0.127144	+	0.412192i
$46$	12.2675	−	1.62199i	1.80874	−	0.239149i
$47$	9.99959	−	1.50720i	1.45859	−	0.219847i	0.628645	−	0.777693i	$-0.283610\pi$
$47$	9.99959	−	1.50720i	1.45859	−	0.219847i	0.829945	+	0.557846i	$0.188372\pi$
$48$	3.90168	+	0.881408i	0.563159	+	0.127220i
$49$	−6.89184	+	1.22579i	−0.984548	+	0.175113i
$50$	−3.18060	−	3.55512i	−0.449805	−	0.502769i
$51$	−0.457379	−	3.03451i	−0.0640459	−	0.424916i
$52$	−1.58335	−	1.35952i	−0.219571	−	0.188532i
$53$	10.1896	−	3.14308i	1.39965	−	0.431736i	0.499123	−	0.866531i	$-0.333655\pi$
$53$	10.1896	−	3.14308i	1.39965	−	0.431736i	0.900529	+	0.434795i	$0.143179\pi$
$54$	−1.12149	+	0.861542i	−0.152616	+	0.117241i
$55$	1.85409	+	0.892884i	0.250006	+	0.120396i
$56$	6.84744	+	3.01871i	0.915027	+	0.403392i
$57$	5.00794	−	2.41170i	0.663318	−	0.319437i
$58$	1.48298	−	2.94169i	0.194725	−	0.386262i
$59$	0.336241	+	4.48682i	0.0437748	+	0.584135i	0.975361	+	0.220614i	$0.0708062\pi$
$59$	0.336241	+	4.48682i	0.0437748	+	0.584135i	−0.931586	+	0.363520i	$0.881575\pi$
$60$	2.69851	−	5.11960i	0.348376	−	0.660937i
$61$	−2.10768	+	6.83293i	−0.269861	+	0.874867i	0.714641	+	0.699491i	$0.246590\pi$
$61$	−2.10768	+	6.83293i	−0.269861	+	0.874867i	−0.984502	+	0.175375i	$0.943886\pi$
$62$	−1.23250	+	7.27847i	−0.156527	+	0.924367i
$63$	−2.36837	+	1.17934i	−0.298386	+	0.148583i
$64$	−4.27883	−	6.75956i	−0.534854	−	0.844944i
$65$	−2.49475	+	1.70089i	−0.309436	+	0.210970i
$66$	−0.0933446	+	1.00142i	−0.0114899	+	0.123266i
$67$	4.13512	−	2.38742i	0.505186	−	0.291669i	−0.225667	−	0.974205i	$-0.572456\pi$
$67$	4.13512	−	2.38742i	0.505186	−	0.291669i	0.730853	+	0.682535i	$0.239123\pi$
$68$	−3.63912	+	4.94233i	−0.441308	+	0.599345i
$69$	8.53055	−	1.94704i	1.02696	−	0.234396i
$70$	6.79217	−	8.43144i	0.811820	−	1.00775i
$71$	2.48545	+	0.567288i	0.294969	+	0.0673248i	0.367445	−	0.930045i	$-0.380233\pi$
$71$	2.48545	+	0.567288i	0.294969	+	0.0673248i	−0.0724755	+	0.997370i	$0.523090\pi$
$72$	2.80484	+	0.364505i	0.330554	+	0.0429574i
$73$	−1.13792	+	7.54962i	−0.133184	+	0.883617i	0.818050	+	0.575147i	$0.195055\pi$
$73$	−1.13792	+	7.54962i	−0.133184	+	0.883617i	−0.951234	+	0.308470i	$0.900183\pi$
$74$	−1.92346	−	2.93420i	−0.223598	−	0.341094i
$75$	−2.47263	−	2.29426i	−0.285515	−	0.264919i
$76$	−10.4970	−	3.65997i	−1.20409	−	0.419828i
$77$	−0.530813	+	1.80518i	−0.0604918	+	0.205719i
$78$	−1.20399	−	0.853268i	−0.136325	−	0.0966136i
$79$	0.410495	+	0.236999i	0.0461843	+	0.0266645i	0.522914	−	0.852385i	$-0.324845\pi$
$79$	0.410495	+	0.236999i	0.0461843	+	0.0266645i	−0.476730	+	0.879050i	$0.658178\pi$
$80$	−11.0527	+	3.43624i	−1.23572	+	0.384183i
$81$	−0.733052	+	0.680173i	−0.0814502	+	0.0755747i
$82$	0.139016	−	0.561874i	0.0153517	−	0.0620486i
$83$	9.63374	−	12.0803i	1.05744	−	1.32599i	0.114354	−	0.993440i	$-0.463520\pi$
$83$	9.63374	−	12.0803i	1.05744	−	1.32599i	0.943086	−	0.332549i	$-0.107909\pi$
$84$	5.01908	+	1.67596i	0.547626	+	0.182862i
$85$	5.53654	+	6.94260i	0.600522	+	0.753030i
$86$	−7.36500	+	3.38358i	−0.794188	+	0.364861i
$87$	0.851046	−	2.16843i	0.0912417	−	0.232480i
$88$	1.54680	−	1.28593i	0.164890	−	0.137081i
$89$	−1.86448	+	0.731753i	−0.197634	+	0.0775657i	−0.462094	−	0.886831i	$-0.652902\pi$
$89$	−1.86448	+	0.731753i	−0.197634	+	0.0775657i	0.264460	+	0.964397i	$0.414806\pi$
$90$	1.56392	−	3.78157i	0.164851	−	0.398613i
$91$	−1.90436	−	1.99880i	−0.199631	−	0.209531i
$92$	−14.8279	−	9.29400i	−1.54591	−	0.968966i
$93$	−0.390085	+	5.20533i	−0.0404500	+	0.539767i
$94$	−12.2535	−	7.37417i	−1.26385	−	0.760588i
$95$	−9.06039	+	13.2892i	−0.929577	+	1.36344i
$96$	−3.45614	−	4.47829i	−0.352741	−	0.457064i
$97$		−	18.5711i		−	1.88561i	−0.333344	−	0.942805i	$-0.608177\pi$
$97$		−	18.5711i		−	1.88561i	0.333344	−	0.942805i	$-0.391823\pi$
$98$	8.61389	+	4.87862i	0.870134	+	0.492815i
$99$			0.711180i			0.0714763i
$100$	0.259743	+	6.74112i	0.0259743	+	0.674112i
$101$	2.36094	−	3.46286i	0.234922	−	0.344567i	−0.690616	−	0.723221i	$-0.742661\pi$
$101$	2.36094	−	3.46286i	0.234922	−	0.344567i	0.925538	+	0.378654i	$0.123613\pi$
$102$	−2.23779	+	3.71849i	−0.221574	+	0.368186i
$103$	−0.117167	+	1.56348i	−0.0115448	+	0.154055i	0.988452	+	0.151534i	$0.0484213\pi$
$103$	−0.117167	+	1.56348i	−0.0115448	+	0.154055i	−0.999997	+	0.00252045i	$0.999198\pi$
$104$	0.499227	+	2.90885i	0.0489532	+	0.285236i
$105$	4.22874	−	6.38195i	0.412682	−	0.622814i
$106$	−13.9356	−	5.76323i	−1.35354	−	0.559774i
$107$	−2.56680	+	1.00740i	−0.248142	+	0.0973887i	−0.486153	−	0.873874i	$-0.661600\pi$
$107$	−2.56680	+	1.00740i	−0.248142	+	0.0973887i	0.238010	+	0.971263i	$0.423505\pi$
$108$	1.99868	+	0.0725597i	0.192323	+	0.00698206i
$109$	−4.74447	+	12.0887i	−0.454438	+	1.15789i	0.501718	+	0.865031i	$0.332702\pi$
$109$	−4.74447	+	12.0887i	−0.454438	+	1.15789i	−0.956156	+	0.292858i	$0.905394\pi$
$110$	−1.21495	−	2.64456i	−0.115841	−	0.252149i
$111$	−1.54679	−	1.93961i	−0.146814	−	0.184099i
$112$	−4.73841	−	9.46295i	−0.447738	−	0.894165i
$113$	−1.23145	+	1.54419i	−0.115845	+	0.145266i	−0.836373	−	0.548161i	$-0.815328\pi$
$113$	−1.23145	+	1.54419i	−0.115845	+	0.145266i	0.720528	+	0.693426i	$0.243900\pi$
$114$	−7.63068	−	1.88794i	−0.714679	−	0.176822i
$115$	−18.5601	+	17.2213i	−1.73074	+	1.60589i
$116$	−4.26811	+	1.86781i	−0.396284	+	0.173422i
$117$	−0.903670	−	0.521734i	−0.0835443	−	0.0482343i
$118$	3.67927	−	5.19156i	0.338704	−	0.477922i
$119$	−5.44338	+	6.02426i	−0.498994	+	0.552243i
$120$	−7.55617	+	3.14465i	−0.689781	+	0.287066i
$121$	−7.69281	−	7.13788i	−0.699346	−	0.648899i
$122$	8.45730	−	5.54404i	0.765688	−	0.501934i
$123$	0.0610007	−	0.404713i	0.00550025	−	0.0364918i
$124$	7.90553	−	6.81858i	0.709938	−	0.612326i
$125$	−4.58972	−	1.04757i	−0.410517	−	0.0936978i
$126$	3.64369	+	0.850584i	0.324606	+	0.0757760i
$127$	18.1628	−	4.14554i	1.61169	−	0.367857i	0.680602	−	0.732654i	$-0.261718\pi$
$127$	18.1628	−	4.14554i	1.61169	−	0.367857i	0.931087	+	0.364796i	$0.118861\pi$
$128$	−1.43306	+	11.2226i	−0.126666	+	0.991945i
$129$	−4.96331	+	2.86557i	−0.436995	+	0.252299i
$130$	4.25165	+	0.396306i	0.372895	+	0.0347584i
$131$	−7.53936	+	5.14025i	−0.658717	+	0.449106i	−0.845988	−	0.533203i	$-0.820988\pi$
$131$	−7.53936	+	5.14025i	−0.658717	+	0.449106i	0.187270	+	0.982308i	$0.440036\pi$
$132$	1.00464	−	1.00688i	0.0874428	−	0.0876375i
$133$	−13.3329	−	6.20517i	−1.15611	−	0.538057i
$134$	−6.65785	−	1.12741i	−0.575151	−	0.0973930i
$135$	0.852911	−	2.76507i	0.0734069	−	0.237979i
$136$	8.42112	−	2.10339i	0.722105	−	0.180364i
$137$	−0.411964	−	5.49727i	−0.0351964	−	0.469664i	−0.986757	−	0.162203i	$-0.948140\pi$
$137$	−0.411964	−	5.49727i	−0.0351964	−	0.469664i	0.951561	−	0.307460i	$-0.0994791\pi$
$138$	−11.0496	−	5.57038i	−0.940603	−	0.474182i
$139$	−2.31875	+	1.11665i	−0.196673	+	0.0947129i	−0.529628	−	0.848230i	$-0.677669\pi$
$139$	−2.31875	+	1.11665i	−0.196673	+	0.0947129i	0.332955	+	0.942943i	$0.391954\pi$
$140$	−15.0024	+	3.06179i	−1.26793	+	0.258768i
$141$	−9.11108	−	4.38766i	−0.767291	−	0.369508i
$142$	−2.19639	−	2.85910i	−0.184317	−	0.239930i
$143$	−0.709125	+	0.218736i	−0.0593000	+	0.0182916i
$144$	−2.72721	−	2.92615i	−0.227267	−	0.243846i
$145$	1.00463	+	6.66529i	0.0834300	+	0.553522i
$146$	8.04698	−	7.19927i	0.665973	−	0.595816i
$147$	6.38482	+	2.86952i	0.526611	+	0.236674i
$148$	−0.550051	+	4.93112i	−0.0452139	+	0.405336i
$149$	23.5581	−	3.55081i	1.92995	−	0.290894i	0.932436	−	0.361334i	$-0.117679\pi$
$149$	23.5581	−	3.55081i	1.92995	−	0.290894i	0.997516	+	0.0704407i	$0.0224406\pi$
$150$	0.625270	+	4.72907i	0.0510530	+	0.386127i
$151$	4.19303	+	13.5935i	0.341224	+	1.10622i	0.949835	+	0.312751i	$0.101251\pi$
$151$	4.19303	+	13.5935i	0.341224	+	1.10622i	−0.608611	+	0.793468i	$0.708273\pi$
$152$	8.13643	+	13.4523i	0.659952	+	1.09113i
$153$	−1.33150	+	2.76488i	−0.107645	+	0.223527i
$154$	2.20598	−	1.48813i	0.177763	−	0.119917i
$155$	−6.55360	−	13.6087i	−0.526397	−	1.09308i
$156$	0.542381	+	2.01522i	0.0434252	+	0.161347i
$157$	−7.13142	+	0.534426i	−0.569149	+	0.0426519i	−0.356197	−	0.934411i	$-0.615927\pi$
$157$	−7.13142	+	0.534426i	−0.569149	+	0.0426519i	−0.212952	+	0.977063i	$0.568308\pi$
$158$	−0.233540	−	0.628338i	−0.0185794	−	0.0499879i
$159$	−10.1896	−	3.14308i	−0.808090	−	0.249263i
$160$	15.1402	+	6.22200i	1.19694	+	0.491892i
$161$	−18.2886	−	14.1935i	−1.44134	−	1.11861i
$162$	1.41194	−	0.0800807i	0.110933	−	0.00629174i
$163$	7.21640	+	10.5845i	0.565232	+	0.829043i	0.997348	−	0.0727749i	$-0.0231855\pi$
$163$	7.21640	+	10.5845i	0.565232	+	0.829043i	−0.432117	+	0.901818i	$0.642233\pi$
$164$	−0.658078	+	0.486815i	−0.0513873	+	0.0380139i
$165$	−1.02894	−	1.78218i	−0.0801032	−	0.138743i
$166$	−21.3883	+	4.47510i	−1.66006	+	0.347335i
$167$	−4.44148	−	19.4594i	−0.343692	−	1.50581i	−0.791214	−	0.611539i	$-0.790551\pi$
$167$	−4.44148	−	19.4594i	−0.343692	−	1.50581i	0.447522	−	0.894273i	$-0.352306\pi$
$168$	−3.95712	−	6.35147i	−0.305298	−	0.490027i
$169$	−2.65049	+	11.6125i	−0.203883	+	0.893272i
$170$	0.227840	−	12.5560i	0.0174746	−	0.963003i
$171$	−5.49632	−	0.828436i	−0.420314	−	0.0633521i
$172$	11.0750	+	2.95434i	0.844460	+	0.225266i
$173$	11.5797	−	12.4800i	0.880390	−	0.948835i	−0.118637	−	0.992938i	$-0.537852\pi$
$173$	11.5797	−	12.4800i	0.880390	−	0.948835i	0.999027	+	0.0441028i	$0.0140429\pi$
$174$	−2.88241	+	1.59514i	−0.218515	+	0.120927i
$175$	−0.549295	+	8.90736i	−0.0415228	+	0.673333i
$176$	−2.84471	+	0.00632734i	−0.214428	+	0.000476941i
$177$	2.24970	−	3.89660i	0.169098	−	0.292886i
$178$	2.69114	+	0.883886i	0.201709	+	0.0662501i
$179$	3.80456	+	4.10034i	0.284366	+	0.306474i	0.859040	−	0.511909i	$-0.171061\pi$
$179$	3.80456	+	4.10034i	0.284366	+	0.306474i	−0.574673	+	0.818383i	$0.694871\pi$
$180$	−5.11358	+	2.70989i	−0.381144	+	0.201983i
$181$	−11.6700	−	9.30651i	−0.867424	−	0.691747i	0.0850470	−	0.996377i	$-0.472896\pi$
$181$	−11.6700	−	9.30651i	−0.867424	−	0.691747i	−0.952471	+	0.304629i	$0.901467\pi$
$182$	0.272557	+	3.89478i	0.0202033	+	0.288700i
$183$	5.59057	−	4.45833i	0.413267	−	0.329569i
$184$	7.77490	+	23.4955i	0.573173	+	1.73211i
$185$	6.68242	+	2.62266i	0.491301	+	0.192822i
$186$	5.11845	−	5.31946i	0.375303	−	0.390042i
$187$	0.797342	+	2.03159i	0.0583074	+	0.148565i
$188$	6.70114	+	19.0827i	0.488731	+	1.39175i
$189$	2.62118	+	0.359735i	0.190663	+	0.0261668i
$190$	21.8536	−	6.30908i	1.58543	−	0.457709i
$191$	3.04630	+	0.228289i	0.220422	+	0.0165184i	0.184484	−	0.982836i	$-0.440939\pi$
$191$	3.04630	+	0.228289i	0.220422	+	0.0165184i	0.0359389	+	0.999354i	$0.488558\pi$
$192$	−0.272456	+	7.99536i	−0.0196628	+	0.577015i
$193$	−9.20003	−	6.27247i	−0.662233	−	0.451503i	0.184990	−	0.982740i	$-0.440775\pi$
$193$	−9.20003	−	6.27247i	−0.662233	−	0.451503i	−0.847223	+	0.531238i	$0.821727\pi$
$194$	−16.7449	+	20.2332i	−1.20221	+	1.45266i
$195$	3.01941			0.216224
$196$	−4.98594	−	13.0821i	−0.356138	−	0.934433i
$197$	−17.9781			−1.28088			−0.640442	−	0.768006i	$-0.721249\pi$
$197$	−17.9781			−1.28088			−0.640442	+	0.768006i	$0.721249\pi$
$198$	0.641245	−	0.774829i	0.0455713	−	0.0550647i
$199$	−10.7298	−	7.31542i	−0.760612	−	0.518577i	0.119793	−	0.992799i	$-0.461777\pi$
$199$	−10.7298	−	7.31542i	−0.760612	−	0.518577i	−0.880405	+	0.474222i	$0.842729\pi$
$200$	5.79523	−	7.57863i	0.409785	−	0.535890i
$201$	−4.76148	−	0.356824i	−0.335849	−	0.0251684i
$202$	−5.69457	+	1.64401i	−0.400668	+	0.115672i
$203$	−5.86484	+	1.89426i	−0.411631	+	0.132951i
$204$	5.79089	−	2.03355i	0.405444	−	0.142377i
$205$	0.432679	+	1.10245i	0.0302196	+	0.0769984i
$206$	1.53739	−	1.59777i	0.107115	−	0.111322i
$207$	−8.14508	−	3.19671i	−0.566122	−	0.222187i
$208$	2.07889	−	3.61931i	0.144145	−	0.250954i
$209$	−3.09060	+	2.46467i	−0.213781	+	0.170485i
$210$	−10.3616	+	3.14022i	−0.715015	+	0.216696i
$211$	18.0261	+	14.3753i	1.24097	+	0.989640i	0.999817	+	0.0191522i	$0.00609670\pi$
$211$	18.0261	+	14.3753i	1.24097	+	0.989640i	0.241152	+	0.970487i	$0.422475\pi$
$212$	9.98628	+	18.8442i	0.685861	+	1.29423i
$213$	−1.73401	−	1.86882i	−0.118813	−	0.128050i
$214$	3.70486	+	1.21684i	0.253259	+	0.0831812i
$215$	8.29187	−	14.3619i	0.565501	−	0.979477i
$216$	−2.11214	−	1.88119i	−0.143713	−	0.127999i
$217$	11.3071	−	7.92986i	0.767576	−	0.538314i
$218$	16.0690	−	8.89271i	1.08833	−	0.602291i
$219$	5.19305	−	5.59678i	0.350914	−	0.378195i
$220$	−1.06082	+	3.97672i	−0.0715204	+	0.268110i
$221$	−3.16642	−	0.477260i	−0.212996	−	0.0321040i
$222$	−0.0636535	+	3.50788i	−0.00427215	+	0.235433i
$223$	2.74790	−	12.0394i	0.184013	−	0.806215i	−0.795681	−	0.605716i	$-0.792887\pi$
$223$	2.74790	−	12.0394i	0.184013	−	0.806215i	0.979694	−	0.200499i	$-0.0642562\pi$
$224$	−3.36991	+	14.5823i	−0.225162	+	0.974321i
$225$	0.750577	+	3.28849i	0.0500384	+	0.219233i
$226$	2.73401	−	0.572039i	0.181864	−	0.0380515i
$227$	−7.67278	−	13.2896i	−0.509260	−	0.882064i	−0.999942	−	0.0107258i	$-0.996586\pi$
$227$	−7.67278	−	13.2896i	−0.509260	−	0.882064i	0.490682	−	0.871338i	$-0.336748\pi$
$228$	6.61132	+	8.93720i	0.437846	+	0.591881i
$229$	12.1572	+	17.8314i	0.803372	+	1.17833i	0.980957	+	0.194225i	$0.0622192\pi$
$229$	12.1572	+	17.8314i	0.803372	+	1.17833i	−0.177585	+	0.984105i	$0.556828\pi$
$230$	35.7490	−	2.02756i	2.35722	−	0.133694i
$231$	1.45547	−	1.19249i	0.0957631	−	0.0784603i
$232$	6.33423	+	1.81342i	0.415863	+	0.119057i
$233$	10.4141	+	3.21232i	0.682250	+	0.210446i	0.616459	−	0.787387i	$-0.288567\pi$
$233$	10.4141	+	3.21232i	0.682250	+	0.210446i	0.0657911	+	0.997833i	$0.479043\pi$
$234$	0.514118	+	1.38323i	0.0336089	+	0.0904248i
$235$	29.1801	−	2.18674i	1.90350	−	0.142647i
$236$	−8.68959	+	2.33873i	−0.565644	+	0.152238i
$237$	−0.205660	−	0.427058i	−0.0133591	−	0.0277404i
$238$	11.3624	−	1.65532i	0.736515	−	0.107298i
$239$	11.6256	−	24.1408i	0.751997	−	1.56154i	−0.0736073	−	0.997287i	$-0.523451\pi$
$239$	11.6256	−	24.1408i	0.751997	−	1.56154i	0.825604	−	0.564250i	$-0.190835\pi$
$240$	11.0678	+	3.38703i	0.714426	+	0.218632i
$241$	−6.60436	−	21.4108i	−0.425424	−	1.37919i	−0.874208	−	0.485551i	$-0.838619\pi$
$241$	−6.60436	−	21.4108i	−0.425424	−	1.37919i	0.448784	−	0.893640i	$-0.351857\pi$
$242$	1.94533	+	14.7130i	0.125051	+	0.945789i
$243$	0.988831	−	0.149042i	0.0634335	−	0.00956107i
$244$	−14.2131	−	1.58542i	−0.909898	−	0.101496i
$245$	−20.1517	+	2.04676i	−1.28744	+	0.130763i
$246$	−0.431375	+	0.385932i	−0.0275035	+	0.0246061i
$247$	−0.864447	−	5.73523i	−0.0550035	−	0.364924i
$248$	−14.7611	+	0.300698i	−0.937331	+	0.0190943i
$249$	−14.7649	+	4.55436i	−0.935685	+	0.288621i
$250$	4.05593	+	5.27970i	0.256519	+	0.333918i
$251$	−17.1996	−	8.28289i	−1.08563	−	0.522812i	−0.196517	−	0.980500i	$-0.562963\pi$
$251$	−17.1996	−	8.28289i	−1.08563	−	0.522812i	−0.889112	+	0.457689i	$0.848677\pi$
$252$	−3.20285	−	4.21209i	−0.201761	−	0.265337i
$253$	−5.60653	+	2.69996i	−0.352479	+	0.169745i
$254$	−23.5262	−	11.8602i	−1.47617	−	0.744173i
$255$	−0.663597	−	8.85508i	−0.0415560	−	0.554527i
$256$	11.6803	−	10.9348i	0.730019	−	0.683427i
$257$	−5.16998	+	16.7607i	−0.322495	+	1.04550i	0.638659	+	0.769489i	$0.279489\pi$
$257$	−5.16998	+	16.7607i	−0.322495	+	1.04550i	−0.961154	+	0.276012i	$0.910987\pi$
$258$	7.99128	+	1.35320i	0.497516	+	0.0842467i
$259$	−1.37590	+	6.41789i	−0.0854946	+	0.398788i
$260$	−4.27483	−	4.26533i	−0.265114	−	0.264525i
$261$	−1.92469	+	1.31223i	−0.119135	+	0.0812250i
$262$	12.8489	+	1.19767i	0.793807	+	0.0739926i
$263$	22.9925	−	13.2747i	1.41778	−	0.818553i	0.421673	−	0.906748i	$-0.361443\pi$
$263$	22.9925	−	13.2747i	1.41778	−	0.818553i	0.996103	+	0.0881946i	$0.0281097\pi$
$264$	−2.00242	+	0.191144i	−0.123240	+	0.0117641i
$265$	30.0822	−	6.86606i	1.84793	−	0.421779i
$266$	8.93120	+	18.7823i	0.547607	+	1.15162i
$267$	1.95271	+	0.445694i	0.119504	+	0.0272760i
$268$	6.23717	+	7.23144i	0.380996	+	0.441731i
$269$	4.75587	−	31.5531i	0.289971	−	1.92383i	−0.0841590	−	0.996452i	$-0.526820\pi$
$269$	4.75587	−	31.5531i	0.289971	−	1.92383i	0.374130	−	0.927376i	$-0.377942\pi$
$270$	−3.42240	+	2.24350i	−0.208281	+	0.136535i
$271$	−18.5571	−	17.2185i	−1.12727	−	1.04595i	−0.998526	−	0.0542708i	$-0.982717\pi$
$271$	−18.5571	−	17.2185i	−1.12727	−	1.04595i	−0.128739	−	0.991679i	$-0.541093\pi$
$272$	−11.0713	−	5.30137i	−0.671299	−	0.321443i
$273$	0.447496	+	2.72425i	0.0270837	+	0.164879i
$274$	−4.50785	+	6.36072i	−0.272329	+	0.384265i
$275$	2.07747	+	1.19943i	0.125276	+	0.0723282i
$276$	7.01589	+	16.0319i	0.422307	+	0.965008i
$277$	−22.3665	+	20.7531i	−1.34387	+	1.24693i	−0.400043	+	0.916497i	$0.631005\pi$
$277$	−22.3665	+	20.7531i	−1.34387	+	1.24693i	−0.943829	+	0.330434i	$0.892805\pi$
$278$	3.53311	+	0.874141i	0.211902	+	0.0524275i
$279$	3.25457	−	4.08110i	0.194846	−	0.244329i
$280$	19.1057	+	10.1913i	1.14179	+	0.609045i
$281$	−8.16548	−	10.2392i	−0.487112	−	0.610819i	0.476156	−	0.879361i	$-0.342030\pi$
$281$	−8.16548	−	10.2392i	−0.487112	−	0.610819i	−0.963268	+	0.268542i	$0.913458\pi$
$282$	5.97030	+	12.9955i	0.355526	+	0.773869i
$283$	3.34030	−	8.51094i	0.198560	−	0.505923i	−0.796564	−	0.604554i	$-0.793351\pi$
$283$	3.34030	−	8.51094i	0.198560	−	0.505923i	0.995124	+	0.0986315i	$0.0314465\pi$
$284$	−0.184982	+	5.09539i	−0.0109766	+	0.302356i
$285$	14.9721	−	5.87612i	0.886870	−	0.348071i
$286$	0.969816	+	0.401079i	0.0573464	+	0.0237163i
$287$	−0.930555	+	0.553774i	−0.0549289	+	0.0326882i
$288$	0.332884	+	5.64705i	0.0196154	+	0.332756i
$289$	0.566645	−	7.56135i	0.0333320	−	0.444785i
$290$	4.91530	−	8.16765i	0.288636	−	0.479621i
$291$	−10.4615	+	15.3442i	−0.613263	+	0.899491i
$292$	−15.2585	+	0.587926i	−0.892935	+	0.0344057i
$293$			10.5641i			0.617162i	0.951198	+	0.308581i	$0.0998540\pi$
$293$			10.5641i			0.617162i	−0.951198	+	0.308581i	$0.900146\pi$
$294$	−4.36890	−	8.88328i	−0.254800	−	0.518083i
$295$			13.0196i			0.758030i
$296$	5.04549	−	4.87648i	0.293263	−	0.283440i
$297$	0.400622	−	0.587605i	0.0232464	−	0.0340963i
$298$	−28.8681	−	17.3728i	−1.67228	−	1.00638i
$299$	0.682306	−	9.10474i	0.0394588	−	0.526541i
$300$	3.58280	−	5.71609i	0.206853	−	0.330019i
$301$	14.1869	+	5.35278i	0.817721	+	0.308529i
$302$	7.68842	−	18.5907i	0.442419	−	1.06978i
$303$	−3.90140	+	1.53119i	−0.224129	+	0.0879643i
$304$	3.26484	−	21.9926i	0.187251	−	1.26136i
$305$	−7.55933	+	19.2609i	−0.432846	+	1.10287i
$306$	3.94365	−	1.81177i	0.225444	−	0.103572i
$307$	17.8842	+	22.4261i	1.02071	+	1.27992i	0.959473	+	0.281801i	$0.0909316\pi$
$307$	17.8842	+	22.4261i	1.02071	+	1.27992i	0.0612324	+	0.998124i	$0.480497\pi$
$308$	−3.74520	−	0.367745i	−0.213403	−	0.0209542i
$309$	0.977549	−	1.22581i	0.0556108	−	0.0697338i
$310$	−5.13032	+	20.7358i	−0.291382	+	1.17771i
$311$	−7.97663	+	7.40123i	−0.452313	+	0.419685i	−0.873150	−	0.487451i	$-0.837927\pi$
$311$	−7.97663	+	7.40123i	−0.452313	+	0.419685i	0.420837	+	0.907136i	$0.361736\pi$
$312$	1.22613	−	2.68463i	0.0694160	−	0.151987i
$313$	−3.98976	−	2.30349i	−0.225515	−	0.130201i	0.382986	−	0.923754i	$-0.374896\pi$
$313$	−3.98976	−	2.30349i	−0.225515	−	0.130201i	−0.608501	+	0.793553i	$0.708229\pi$
$314$	8.25154	+	5.84788i	0.465661	+	0.330015i
$315$	−7.08902	+	2.89088i	−0.399421	+	0.162883i
$316$	−0.312108	+	0.895147i	−0.0175575	+	0.0503559i
$317$	17.1894	+	15.9494i	0.965454	+	0.895810i	0.994602	−	0.103765i	$-0.0330890\pi$
$317$	17.1894	+	15.9494i	0.965454	+	0.895810i	−0.0291483	+	0.999575i	$0.509280\pi$
$318$	8.26757	+	12.6120i	0.463622	+	0.707245i
$319$	−0.246913	+	1.63816i	−0.0138245	+	0.0917194i
$320$	−10.8850	−	20.4302i	−0.608491	−	1.14208i
$321$	2.68828	+	0.613582i	0.150045	+	0.0342468i
$322$	7.12760	+	31.9539i	0.397206	+	1.78072i
$323$	−16.6299	+	3.79566i	−0.925311	+	0.211196i
$324$	−1.61052	−	1.18585i	−0.0894731	−	0.0658806i
$325$	−3.04813	+	1.75984i	−0.169080	+	0.0976184i
$326$	1.68141	−	18.0386i	0.0931249	−	0.999063i
$327$	10.7299	−	7.31551i	0.593364	−	0.404549i
$328$	1.15592	+	0.0629808i	0.0638249	+	0.00347753i
$329$	6.29766	+	26.0035i	0.347201	+	1.43362i
$330$	−0.485897	+	2.86944i	−0.0267477	+	0.157958i
$331$	0.522817	−	1.69493i	0.0287366	−	0.0931619i	−0.940068	−	0.340986i	$-0.889239\pi$
$331$	0.522817	−	1.69493i	0.0287366	−	0.0931619i	0.968805	+	0.247824i	$0.0797154\pi$
$332$	27.3375	+	14.4094i	1.50034	+	0.790821i
$333$	0.185394	+	2.47391i	0.0101595	+	0.135570i
$334$	−12.7068	+	25.2057i	−0.695286	+	1.37919i
$335$	12.4483	−	5.99478i	0.680123	−	0.327530i
$336$	−1.41561	+	10.4879i	−0.0772281	+	0.572162i
$337$	22.0381	+	10.6130i	1.20049	+	0.578126i	0.923816	−	0.382838i	$-0.125053\pi$
$337$	22.0381	+	10.6130i	1.20049	+	0.578126i	0.276675	+	0.960964i	$0.410767\pi$
$338$	13.3583	−	10.2620i	0.726595	−	0.558178i
$339$	1.88735	−	0.582171i	0.102507	−	0.0316192i
$340$	−11.5695	+	13.4743i	−0.627446	+	0.730748i
$341$	−0.553290	−	3.67084i	−0.0299624	−	0.198787i
$342$	5.24125	+	5.85840i	0.283414	+	0.316786i
$343$	−4.83330	−	17.8785i	−0.260973	−	0.965346i
$344$	−9.40236	−	13.2047i	−0.506941	−	0.711947i
$345$	25.0362	−	3.77360i	1.34790	−	0.203164i
$346$	−23.8688	+	3.15589i	−1.28319	+	0.169662i
$347$	7.18180	+	23.2828i	0.385539	+	1.24989i	0.915656	+	0.401963i	$0.131672\pi$
$347$	7.18180	+	23.2828i	0.385539	+	1.24989i	−0.530117	+	0.847925i	$0.677852\pi$
$348$	4.57865	+	0.861055i	0.245442	+	0.0461574i
$349$	5.54923	−	11.5231i	0.297044	−	0.616818i	−0.698018	−	0.716081i	$-0.745934\pi$
$349$	5.54923	−	11.5231i	0.297044	−	0.616818i	0.995061	+	0.0992631i	$0.0316485\pi$
$350$	8.62989	−	9.20927i	0.461287	−	0.492256i
$351$	0.452744	+	0.940133i	0.0241657	+	0.0501806i
$352$	3.10501	+	2.55808i	0.165498	+	0.136346i
$353$	25.2007	−	1.88853i	1.34130	−	0.100517i	0.615345	−	0.788258i	$-0.289017\pi$
$353$	25.2007	−	1.88853i	1.34130	−	0.100517i	0.725956	+	0.687742i	$0.241398\pi$
$354$	−5.96446	+	2.21686i	−0.317008	+	0.117825i
$355$	7.04919	+	2.17439i	0.374132	+	0.115404i
$356$	−2.13502	−	3.38949i	−0.113156	−	0.179643i
$357$	7.89112	−	1.91111i	0.417642	−	0.101147i
$358$	−0.447933	−	7.89775i	−0.0236740	−	0.417409i
$359$	−1.33853	−	1.96327i	−0.0706451	−	0.103617i	0.789290	−	0.614020i	$-0.210449\pi$
$359$	−1.33853	−	1.96327i	−0.0706451	−	0.103617i	−0.859935	+	0.510403i	$0.829496\pi$
$360$	8.01464	+	1.65831i	0.422409	+	0.0874008i
$361$	−5.94790	−	10.3021i	−0.313047	−	0.542214i
$362$	4.32309	+	20.6618i	0.227217	+	1.08596i
$363$	2.33518	+	10.2311i	0.122565	+	0.536994i
$364$	3.21482	−	4.48910i	0.168503	−	0.235293i
$365$	−4.91605	+	21.5386i	−0.257318	+	1.12738i
$366$	−10.1108	−	0.183470i	−0.528501	−	0.00959012i
$367$	−24.4430	−	3.68419i	−1.27591	−	0.192313i	−0.524082	−	0.851668i	$-0.675591\pi$
$367$	−24.4430	−	3.68419i	−1.27591	−	0.192313i	−0.751832	+	0.659355i	$0.770829\pi$
$368$	12.7143	−	32.6087i	0.662780	−	1.69984i
$369$	−0.278384	+	0.300027i	−0.0144921	+	0.0156188i
$370$	−4.91573	−	8.88267i	−0.255556	−	0.461788i
$371$	10.6533	+	26.1239i	0.553089	+	1.35629i
$372$	−10.3729	+	1.18043i	−0.537810	+	0.0612024i
$373$	−10.8826	+	18.8491i	−0.563477	+	0.975971i	0.433712	+	0.901051i	$0.357203\pi$
$373$	−10.8826	+	18.8491i	−0.563477	+	0.975971i	−0.997190	+	0.0749200i	$0.976130\pi$
$374$	0.963111	−	2.93235i	0.0498013	−	0.151628i
$375$	3.20208	+	3.45102i	0.165355	+	0.178210i
$376$	9.90525	−	26.8327i	0.510824	−	1.38379i
$377$	−1.90041	−	1.51553i	−0.0978761	−	0.0780536i
$378$	−2.53141	−	2.75535i	−0.130202	−	0.141720i
$379$	−13.6243	+	10.8650i	−0.699833	+	0.558098i	−0.907475	−	0.420107i	$-0.861993\pi$
$379$	−13.6243	+	10.8650i	−0.699833	+	0.558098i	0.207642	+	0.978205i	$0.433421\pi$
$380$	−29.4981	−	12.8309i	−1.51322	−	0.658209i
$381$	−17.3421	−	6.80627i	−0.888462	−	0.348696i
$382$	−3.11310	−	2.99545i	−0.159280	−	0.153261i
$383$	−8.18883	−	20.8648i	−0.418429	−	1.06614i	−0.972341	−	0.233565i	$-0.924961\pi$
$383$	−8.18883	−	20.8648i	−0.418429	−	1.06614i	0.553912	−	0.832575i	$-0.313135\pi$
$384$	7.50596	−	8.46526i	0.383037	−	0.431991i
$385$	−1.92203	+	5.09413i	−0.0979558	+	0.259621i
$386$	4.36775	+	15.1292i	0.222313	+	0.770054i
$387$	5.71511	+	0.428288i	0.290515	+	0.0217711i
$388$	36.4870	−	6.94575i	1.85235	−	0.352617i
$389$	2.09052	+	1.42529i	0.105993	+	0.0722651i	0.615157	−	0.788405i	$-0.289093\pi$
$389$	2.09052	+	1.42529i	0.105993	+	0.0722651i	−0.509163	+	0.860670i	$0.670045\pi$
$390$	−3.28963	−	2.72249i	−0.166577	−	0.137858i
$391$	−26.8517			−1.35795
$392$	−6.36345	+	18.7485i	−0.321403	+	0.946943i
$393$	9.12492			0.460291
$394$	19.5871	+	16.2102i	0.986782	+	0.816656i
$395$	1.13325	+	0.772635i	0.0570199	+	0.0388755i
$396$	−1.39727	+	0.265987i	−0.0702154	+	0.0133664i
$397$	−23.2108	−	1.73941i	−1.16492	−	0.0872983i	−0.521800	−	0.853068i	$-0.674739\pi$
$397$	−23.2108	−	1.73941i	−1.16492	−	0.0872983i	−0.643115	+	0.765770i	$0.722358\pi$
$398$	5.09399	+	17.6448i	0.255339	+	0.884452i
$399$	7.52067	+	12.6376i	0.376504	+	0.632674i
$400$	−13.1473	+	3.03156i	−0.657363	+	0.151578i
$401$	−10.4291	−	26.5730i	−0.520806	−	1.32699i	−0.913318	−	0.407246i	$-0.866489\pi$
$401$	−10.4291	−	26.5730i	−0.520806	−	1.32699i	0.392512	−	0.919747i	$-0.371606\pi$
$402$	4.86588	+	4.68201i	0.242688	+	0.233517i
$403$	5.07031	+	1.98995i	0.252570	+	0.0991264i
$404$	7.68655	+	3.34344i	0.382420	+	0.166342i
$405$	−2.26233	+	1.80415i	−0.112416	+	0.0896487i
$406$	8.09772	+	3.22431i	0.401883	+	0.160020i
$407$	1.37941	+	1.10004i	0.0683749	+	0.0545271i
$408$	−8.14274	−	3.00588i	−0.403126	−	0.148813i
$409$	12.9436	+	13.9498i	0.640018	+	0.689775i	0.966861	−	0.255303i	$-0.0821753\pi$
$409$	12.9436	+	13.9498i	0.640018	+	0.689775i	−0.326843	+	0.945079i	$0.605985\pi$
$410$	0.522634	−	1.59125i	0.0258111	−	0.0785860i
$411$	−2.75634	+	4.77413i	−0.135960	+	0.235490i
$412$	−3.11562	+	0.354556i	−0.153496	+	0.0174677i
$413$	−11.7469	+	1.92959i	−0.578026	+	0.0949489i
$414$	5.99169	+	10.8269i	0.294475	+	0.532114i
$415$	30.4107	−	32.7750i	1.49280	−	1.60886i
$416$	−5.52835	+	2.06877i	−0.271050	+	0.101430i
$417$	2.54487	+	0.383577i	0.124623	+	0.0187839i
$418$	5.58950	+	0.101426i	0.273391	+	0.00496093i
$419$	−5.51922	+	24.1813i	−0.269632	+	1.18133i	0.640811	+	0.767699i	$0.278598\pi$
$419$	−5.51922	+	24.1813i	−0.269632	+	1.18133i	−0.910443	+	0.413635i	$0.864259\pi$
$420$	14.1203	+	5.92137i	0.689000	+	0.288933i
$421$	−5.05323	−	22.1396i	−0.246279	−	1.07902i	−0.935182	−	0.354167i	$-0.884765\pi$
$421$	−5.05323	−	22.1396i	−0.246279	−	1.07902i	0.688903	−	0.724854i	$-0.258093\pi$
$422$	−6.67769	−	31.9154i	−0.325065	−	1.55362i
$423$	5.05627	+	8.75771i	0.245844	+	0.425815i
$424$	6.11109	−	29.5350i	0.296781	−	1.43434i
$425$	5.83104	+	8.55257i	0.282847	+	0.414860i
$426$	0.204155	+	3.59957i	0.00989137	+	0.174400i
$427$	−18.4984	−	3.96580i	−0.895200	−	0.191918i
$428$	−2.93926	−	4.66627i	−0.142074	−	0.225553i
$429$	0.709125	+	0.218736i	0.0342369	+	0.0105607i
$430$	−21.9836	+	8.17083i	−1.06014	+	0.394032i
$431$	17.6105	−	1.31973i	0.848269	−	0.0635689i	0.356500	−	0.934295i	$-0.383970\pi$
$431$	17.6105	−	1.31973i	0.848269	−	0.0635689i	0.491768	+	0.870726i	$0.336351\pi$
$432$	0.604965	+	3.95399i	0.0291064	+	0.190236i
$433$	−1.85202	−	3.84576i	−0.0890024	−	0.184815i	0.851716	−	0.524003i	$-0.175562\pi$
$433$	−1.85202	−	3.84576i	−0.0890024	−	0.184815i	−0.940719	+	0.339188i	$0.889848\pi$
$434$	−19.4691	−	1.55564i	−0.934547	−	0.0746730i
$435$	2.92463	−	6.07305i	0.140225	−	0.291180i
$436$	−25.5254	−	4.80027i	−1.22245	−	0.229891i
$437$	−14.3356	−	46.4748i	−0.685764	−	2.22319i
$438$	−10.7042	+	1.41529i	−0.511467	+	0.0676253i
$439$	24.9399	−	3.75909i	1.19032	−	0.179412i	0.476136	−	0.879371i	$-0.342037\pi$
$439$	24.9399	−	3.75909i	1.19032	−	0.179412i	0.714182	+	0.699960i	$0.246799\pi$
$440$	4.74142	−	3.37612i	0.226038	−	0.160950i
$441$	−3.65893	−	5.96760i	−0.174235	−	0.284171i
$442$	3.01947	+	3.37501i	0.143622	+	0.160533i
$443$	−2.96230	−	19.6536i	−0.140743	−	0.933769i	−0.942040	−	0.335502i	$-0.891094\pi$
$443$	−2.96230	−	19.6536i	−0.140743	−	0.933769i	0.801296	−	0.598267i	$-0.204144\pi$
$444$	3.23227	−	3.76443i	0.153397	−	0.178652i
$445$	−5.53824	+	1.70832i	−0.262538	+	0.0809822i
$446$	−13.8493	+	10.6392i	−0.655782	+	0.503779i
$447$	−21.4648	−	10.3369i	−1.01525	−	0.488919i
$448$	16.8198	−	12.8489i	0.794662	−	0.607052i
$449$	−15.7311	+	7.57571i	−0.742398	+	0.357520i	−0.766547	−	0.642188i	$-0.778027\pi$
$449$	−15.7311	+	7.57571i	−0.742398	+	0.357520i	0.0241490	+	0.999708i	$0.492312\pi$
$450$	2.14736	−	4.25957i	0.101227	−	0.200798i
$451$	0.0217521	+	0.290261i	0.00102427	+	0.0136679i
$452$	−3.49448	−	1.84192i	−0.164367	−	0.0866366i
$453$	4.19303	−	13.5935i	0.197006	−	0.638676i
$454$	−3.62330	+	21.3973i	−0.170050	+	1.00422i
$455$	−5.06288	−	6.17940i	−0.237351	−	0.289695i
$456$	0.855327	−	15.6982i	0.0400543	−	0.735138i
$457$	−18.7298	+	12.7698i	−0.876143	+	0.597344i	−0.915695	−	0.401873i	$-0.868359\pi$
$457$	−18.7298	+	12.7698i	−0.876143	+	0.597344i	0.0395521	+	0.999218i	$0.487407\pi$
$458$	2.83262	−	30.3890i	0.132360	−	1.41998i
$459$	2.65765	−	1.53439i	0.124048	−	0.0716193i
$460$	−40.7766	−	30.0245i	−1.90122	−	1.39990i
$461$	−6.05481	+	1.38197i	−0.282000	+	0.0643648i	−0.361182	−	0.932495i	$-0.617627\pi$
$461$	−6.05481	+	1.38197i	−0.282000	+	0.0643648i	0.0791812	+	0.996860i	$0.474769\pi$
$462$	−2.66096	−	0.0131282i	−0.123799	−	0.000610777i
$463$	10.3684	+	2.36652i	0.481860	+	0.109981i	0.456549	−	0.889698i	$-0.349085\pi$
$463$	10.3684	+	2.36652i	0.481860	+	0.109981i	0.0253110	+	0.999680i	$0.491942\pi$
$464$	−5.26603	−	7.68706i	−0.244469	−	0.356863i
$465$	−2.25121	+	14.9358i	−0.104397	+	0.692631i
$466$	−8.44969	−	12.8898i	−0.391424	−	0.597109i
$467$	9.29406	+	8.62363i	0.430078	+	0.399054i	0.865288	−	0.501275i	$-0.167136\pi$
$467$	9.29406	+	8.62363i	0.430078	+	0.399054i	−0.435210	+	0.900329i	$0.643326\pi$
$468$	0.687080	−	1.97059i	0.0317603	−	0.0910906i
$469$	7.25369	+	10.3430i	0.334944	+	0.477594i
$470$	−33.7633	−	23.9281i	−1.55738	−	1.10372i
$471$	6.19331	+	3.57571i	0.285373	+	0.164760i
$472$	11.5760	+	5.28704i	0.532830	+	0.243356i
$473$	2.98782	−	2.77229i	0.137380	−	0.127470i
$474$	−0.160996	+	0.650715i	−0.00739479	+	0.0298883i
$475$	−11.6897	+	14.6584i	−0.536360	+	0.672574i
$476$	−13.8718	−	8.44159i	−0.635815	−	0.386920i
$477$	6.64850	+	8.33696i	0.304414	+	0.381723i
$478$	−34.4329	+	15.8190i	−1.57492	+	0.723542i
$479$	−0.136432	+	0.347623i	−0.00623373	+	0.0158833i	−0.933957	−	0.357386i	$-0.883668\pi$
$479$	−0.136432	+	0.347623i	−0.00623373	+	0.0158833i	0.927723	+	0.373269i	$0.121763\pi$
$480$	−9.00441	−	13.6696i	−0.410993	−	0.623930i
$481$	−2.40974	+	0.945755i	−0.109875	+	0.0431227i
$482$	−12.1099	+	29.2819i	−0.551591	+	1.33376i
$483$	7.11525	+	22.0296i	0.323755	+	1.00238i
$484$	11.1468	−	17.7838i	0.506671	−	0.808356i
$485$	4.01583	−	53.5876i	0.182350	−	2.43329i
$486$	−1.21171	−	0.729211i	−0.0549645	−	0.0330777i
$487$	21.2501	−	31.1681i	0.962932	−	1.41236i	0.0525379	−	0.998619i	$-0.483269\pi$
$487$	21.2501	−	31.1681i	0.962932	−	1.41236i	0.910394	−	0.413743i	$-0.135779\pi$
$488$	14.0556	+	14.5427i	0.636266	+	0.658317i
$489$		−	12.8105i		−	0.579310i
$490$	23.8007	+	15.9401i	1.07521	+	0.720100i
$491$			30.1765i			1.36185i	0.732355	+	0.680923i	$0.238421\pi$
$491$			30.1765i			1.36185i	−0.732355	+	0.680923i	$0.761579\pi$
$492$	0.817962	−	0.0315170i	0.0368766	−	0.00142090i
$493$	−4.02695	+	5.90646i	−0.181365	+	0.266013i
$494$	−4.22943	+	7.02796i	−0.190291	+	0.316203i
$495$	−0.153786	+	2.05213i	−0.00691217	+	0.0922366i
$496$	16.3533	+	12.9819i	0.734286	+	0.582906i
$497$	−0.917097	+	6.68236i	−0.0411374	+	0.299745i
$498$	20.1928	+	8.35097i	0.904860	+	0.374216i
$499$	−18.3902	+	7.21762i	−0.823259	+	0.323105i	−0.739310	−	0.673365i	$-0.764848\pi$
$499$	−18.3902	+	7.21762i	−0.823259	+	0.323105i	−0.0839483	+	0.996470i	$0.526753\pi$
$500$	0.341593	−	9.40930i	0.0152765	−	0.420797i
$501$	−7.29214	+	18.5801i	−0.325789	+	0.830096i
$502$	11.2705	+	24.5324i	0.503029	+	1.09494i
$503$	−10.3950	−	13.0349i	−0.463491	−	0.581199i	0.494073	−	0.869420i	$-0.335507\pi$
$503$	−10.3950	−	13.0349i	−0.463491	−	0.581199i	−0.957564	+	0.288222i	$0.906936\pi$
$504$	−0.308385	+	7.47696i	−0.0137366	+	0.333050i
$505$	7.56137	−	9.48166i	0.336477	−	0.421928i
$506$	8.54275	+	2.11360i	0.379771	+	0.0939608i
$507$	8.73151	−	8.10166i	0.387780	−	0.359807i
$508$	14.9379	+	34.1343i	0.662761	+	1.51447i
$509$	20.6827	+	11.9412i	0.916744	+	0.529283i	0.882595	−	0.470134i	$-0.155794\pi$
$509$	20.6827	+	11.9412i	0.916744	+	0.529283i	0.0341493	+	0.999417i	$0.489128\pi$
$510$	−7.26131	+	10.2459i	−0.321536	+	0.453697i
$511$	−20.1617	−	1.24332i	−0.891903	−	0.0550014i
$512$	−22.5852	+	1.38177i	−0.998134	+	0.0610664i
$513$	4.07459	+	3.78067i	0.179898	+	0.166921i
$514$	20.7452	−	13.5991i	0.915029	−	0.599832i
$515$	−0.676178	+	4.48615i	−0.0297959	+	0.197683i
$516$	−7.48635	−	8.67975i	−0.329568	−	0.382105i
$517$	7.01152	+	1.60033i	0.308366	+	0.0703826i
$518$	7.28581	−	5.75167i	0.320120	−	0.252714i
$519$	−16.5978	+	3.78835i	−0.728564	+	0.166290i
$520$	0.811524	+	8.50152i	0.0355877	+	0.372816i
$521$	−24.6854	+	14.2521i	−1.08149	+	0.624397i	−0.931297	−	0.364260i	$-0.881322\pi$
$521$	−24.6854	+	14.2521i	−1.08149	+	0.624397i	−0.150190	+	0.988657i	$0.547989\pi$
$522$	3.28013	+	0.305748i	0.143567	+	0.0133822i
$523$	1.37065	−	0.934490i	0.0599341	−	0.0408624i	−0.532982	−	0.846126i	$-0.678929\pi$
$523$	1.37065	−	0.934490i	0.0599341	−	0.0408624i	0.592916	+	0.805264i	$0.297976\pi$
$524$	−12.9189	−	12.8902i	−0.564366	−	0.563112i
$525$	5.47154	−	7.05018i	0.238798	−	0.307695i
$526$	−37.0195	−	6.26869i	−1.61413	−	0.273328i
$527$	4.72163	−	15.3072i	0.205678	−	0.666790i
$528$	2.35398	+	1.59726i	0.102444	+	0.0695117i
$529$	−4.00263	−	53.4114i	−0.174028	−	2.32224i
$530$	−38.9653	−	19.6434i	−1.69254	−	0.853256i
$531$	−4.05382	+	1.95222i	−0.175921	+	0.0847191i
$532$	7.20479	−	28.5162i	0.312367	−	1.23633i
$533$	−0.384782	−	0.185301i	−0.0166668	−	0.00802629i
$534$	−1.72561	−	2.24627i	−0.0746745	−	0.0972057i
$535$	−7.62444	+	2.35183i	−0.329633	+	0.101678i
$536$	−0.275058	−	13.5025i	−0.0118807	−	0.583217i
$537$	−0.833672	−	5.53105i	−0.0359756	−	0.238682i
$538$	−33.6318	+	30.0889i	−1.44997	+	1.29722i
$539$	−4.88102	−	0.979165i	−0.210240	−	0.0421756i
$540$	5.75158	+	0.641570i	0.247508	+	0.0276088i
$541$	25.2691	−	3.80871i	1.08641	−	0.163749i	0.418663	−	0.908142i	$-0.362499\pi$
$541$	25.2691	−	3.80871i	1.08641	−	0.163749i	0.667742	+	0.744392i	$0.267261\pi$
$542$	4.69266	+	35.4918i	0.201567	+	1.52450i
$543$	4.39966	+	14.2633i	0.188807	+	0.612099i
$544$	7.28215	+	15.7585i	0.312219	+	0.675638i
$545$	−16.3044	+	33.8565i	−0.698404	+	1.45025i
$546$	1.96881	−	3.37155i	0.0842572	−	0.144289i
$547$	−1.89604	−	3.93718i	−0.0810690	−	0.168342i	0.856494	−	0.516157i	$-0.172638\pi$
$547$	−1.89604	−	3.93718i	−0.0810690	−	0.168342i	−0.937563	+	0.347815i	$0.886924\pi$
$548$	10.6465	−	2.86542i	0.454797	−	0.122405i
$549$	−7.13061	+	0.534366i	−0.304327	+	0.0228062i
$550$	−1.18192	−	3.17995i	−0.0503971	−	0.135593i
$551$	−12.3728	−	3.81651i	−0.527099	−	0.162589i
$552$	6.81159	−	23.7927i	0.289921	−	1.01268i
$553$	−0.529153	+	1.13698i	−0.0225019	+	0.0483493i
$554$	43.0805	−	2.44338i	1.83031	−	0.103809i
$555$	−4.04388	−	5.93128i	−0.171653	−	0.251769i
$556$	−3.06113	−	4.13805i	−0.129821	−	0.175492i
$557$	3.15442	+	5.46361i	0.133657	+	0.231501i	0.925084	−	0.379763i	$-0.123995\pi$
$557$	3.15442	+	5.46361i	0.133657	+	0.231501i	−0.791427	+	0.611264i	$0.790661\pi$
$558$	−7.22562	+	1.51182i	−0.305885	+	0.0640006i
$559$	1.33073	+	5.83032i	0.0562840	+	0.246596i
$560$	−11.6266	−	28.3303i	−0.491312	−	1.19717i
$561$	0.485643	−	2.12774i	0.0205039	−	0.0898333i
$562$	−0.336027	+	18.5181i	−0.0141744	+	0.781138i
$563$	−11.7178	−	1.76617i	−0.493845	−	0.0744351i	−0.102602	−	0.994723i	$-0.532717\pi$
$563$	−11.7178	−	1.76617i	−0.493845	−	0.0744351i	−0.391243	+	0.920287i	$0.627955\pi$
$564$	5.21290	−	19.5417i	0.219503	−	0.822855i
$565$	−3.88732	+	4.18953i	−0.163541	+	0.176255i
$566$	−11.3132	+	6.26082i	−0.475531	+	0.263162i
$567$	−1.96308	−	1.77379i	−0.0824414	−	0.0744922i
$568$	4.79586	−	5.38462i	0.201230	−	0.225934i
$569$	−17.3346	+	30.0245i	−0.726706	+	1.25869i	0.231562	+	0.972820i	$0.425616\pi$
$569$	−17.3346	+	30.0245i	−0.726706	+	1.25869i	−0.958268	+	0.285871i	$0.907717\pi$
$570$	−21.6103	−	7.09777i	−0.905157	−	0.297293i
$571$	−2.89707	−	3.12230i	−0.121239	−	0.130664i	0.669515	−	0.742798i	$-0.266502\pi$
$571$	−2.89707	−	3.12230i	−0.121239	−	0.130664i	−0.790754	+	0.612134i	$0.790311\pi$
$572$	−0.694973	−	1.31142i	−0.0290583	−	0.0548333i
$573$	−2.38837	−	1.90466i	−0.0997756	−	0.0795684i
$574$	1.51315	+	0.235712i	0.0631578	+	0.00983843i
$575$	−23.0750	+	18.4017i	−0.962294	+	0.767404i
$576$	4.72906	−	6.45260i	0.197044	−	0.268858i
$577$	0.648408	+	0.254481i	0.0269936	+	0.0105942i	0.378799	−	0.925479i	$-0.376337\pi$
$577$	0.648408	+	0.254481i	0.0269936	+	0.0105942i	−0.351806	+	0.936073i	$0.614432\pi$
$578$	−7.43514	+	7.72714i	−0.309261	+	0.321407i
$579$	4.06801	+	10.3651i	0.169061	+	0.430760i
$580$	−12.7197	+	4.46669i	−0.528156	+	0.185469i
$581$	34.0782	+	22.5805i	1.41380	+	0.936798i
$582$	25.2330	−	7.28471i	1.04594	−	0.301961i
$583$	7.56237	+	0.566721i	0.313201	+	0.0234712i
$584$	17.1542	+	13.1175i	0.709845	+	0.542804i
$585$	−2.49475	−	1.70089i	−0.103145	−	0.0703232i
$586$	9.52526	−	11.5096i	0.393485	−	0.475456i
$587$	−9.97692			−0.411792			−0.205896	−	0.978574i	$-0.566011\pi$
$587$	−9.97692			−0.411792			−0.205896	+	0.978574i	$0.566011\pi$
$588$	−3.24982	+	13.6176i	−0.134020	+	0.561580i
$589$	29.0144			1.19552
$590$	11.7393	−	14.1848i	0.483298	−	0.583979i
$591$	14.8542	+	10.1274i	0.611019	+	0.416586i
$592$	−9.89399	+	0.763586i	−0.406640	+	0.0313832i
$593$	17.9883	+	1.34803i	0.738689	+	0.0553571i	0.438760	−	0.898604i	$-0.355418\pi$
$593$	17.9883	+	1.34803i	0.738689	+	0.0553571i	0.299929	+	0.953961i	$0.403037\pi$
$594$	−0.966298	+	0.278968i	−0.0396477	+	0.0114462i
$595$	−17.0098	+	16.2061i	−0.697332	+	0.664386i
$596$	15.7873	+	44.9569i	0.646671	+	1.84151i
$597$	4.74442	+	12.0886i	0.194176	+	0.494752i
$598$	−8.95278	+	9.30438i	−0.366106	+	0.380484i
$599$	−40.6565	−	15.9565i	−1.66118	−	0.651965i	−0.665636	−	0.746277i	$-0.731840\pi$
$599$	−40.6565	−	15.9565i	−1.66118	−	0.651965i	−0.995543	+	0.0943122i	$0.969935\pi$
$600$	−9.05744	+	2.99719i	−0.369768	+	0.122360i
$601$	−4.90363	+	3.91052i	−0.200023	+	0.159513i	−0.718379	−	0.695652i	$-0.755116\pi$
$601$	−4.90363	+	3.91052i	−0.200023	+	0.159513i	0.518356	+	0.855165i	$0.326544\pi$
$602$	−10.6302	−	18.6237i	−0.433255	−	0.759044i
$603$	3.73311	+	2.97706i	0.152024	+	0.121235i
$604$	−25.1391	+	13.3222i	−1.02289	+	0.542072i
$605$	−20.6544	−	22.2601i	−0.839719	−	0.905002i
$606$	5.63117	+	1.84952i	0.228751	+	0.0751317i
$607$	−20.8089	+	36.0421i	−0.844609	+	1.46291i	0.0413515	+	0.999145i	$0.486834\pi$
$607$	−20.8089	+	36.0421i	−0.844609	+	1.46291i	−0.885960	+	0.463761i	$0.846500\pi$
$608$	−23.3869	+	21.0171i	−0.948465	+	0.852355i
$609$	5.91284	+	1.73867i	0.239600	+	0.0704544i
$610$	25.6027	−	14.1687i	1.03662	−	0.573674i
$611$	−7.17726	+	7.73524i	−0.290361	+	0.312934i
$612$	−5.93020	−	1.58193i	−0.239714	−	0.0639456i
$613$	1.10760	+	0.166944i	0.0447357	+	0.00674282i	0.171372	−	0.985206i	$-0.445180\pi$
$613$	1.10760	+	0.166944i	0.0447357	+	0.00674282i	−0.126636	+	0.991949i	$0.540418\pi$
$614$	0.735973	−	40.5587i	0.0297015	−	1.63681i
$615$	0.263535	−	1.15462i	0.0106268	−	0.0465589i
$616$	3.74880	+	3.77757i	0.151044	+	0.152202i
$617$	−0.969200	−	4.24634i	−0.0390185	−	0.170951i	0.951664	−	0.307140i	$-0.0993719\pi$
$617$	−0.969200	−	4.24634i	−0.0390185	−	0.170951i	−0.990683	+	0.136188i	$0.956515\pi$
$618$	−2.17030	+	0.454095i	−0.0873024	+	0.0182664i
$619$	13.8574	+	24.0017i	0.556976	+	0.964711i	0.997747	+	0.0670913i	$0.0213719\pi$
$619$	13.8574	+	24.0017i	0.556976	+	0.964711i	−0.440771	+	0.897620i	$0.645295\pi$
$620$	24.2861	−	17.9657i	0.975354	−	0.721521i
$621$	4.92901	+	7.22953i	0.197794	+	0.290111i
$622$	15.3639	−	0.871390i	0.616037	−	0.0349396i
$623$	−2.36213	−	4.74368i	−0.0946368	−	0.190051i
$624$	−3.75649	+	1.81934i	−0.150380	+	0.0728317i
$625$	−29.1333	−	8.98643i	−1.16533	−	0.359457i
$626$	2.26986	+	6.10707i	0.0907220	+	0.244087i
$627$	3.94197	−	0.295410i	0.157427	−	0.0117975i
$628$	−3.71721	−	13.8114i	−0.148333	−	0.551133i
$629$	3.30325	+	6.85926i	0.131709	+	0.273497i
$630$	10.3301	+	3.24230i	0.411560	+	0.129176i
$631$	9.10105	−	18.8985i	0.362307	−	0.752338i	−0.637529	−	0.770426i	$-0.720044\pi$
$631$	9.10105	−	18.8985i	0.362307	−	0.752338i	0.999836	+	0.0180878i	$0.00575785\pi$
$632$	1.14716	−	0.693843i	0.0456316	−	0.0275996i
$633$	−6.79595	−	22.0319i	−0.270115	−	0.875691i
$634$	−4.34680	−	32.8759i	−0.172633	−	1.30567i
$635$	53.3058	−	8.03456i	2.11538	−	0.318842i
$636$	2.36427	−	21.1953i	0.0937493	−	0.840448i
$637$	4.82499	−	5.48379i	0.191173	−	0.217276i
$638$	1.74608	−	1.56214i	0.0691279	−	0.0618457i
$639$	0.379964	+	2.52090i	0.0150311	+	0.0997251i
$640$	−6.56193	+	32.0732i	−0.259383	+	1.26781i
$641$	38.9285	−	12.0079i	1.53758	−	0.474282i	0.593736	−	0.804660i	$-0.297653\pi$
$641$	38.9285	−	12.0079i	1.53758	−	0.474282i	0.943849	+	0.330378i	$0.107176\pi$
$642$	−2.37563	−	3.09242i	−0.0937586	−	0.122048i
$643$	−22.1662	−	10.6747i	−0.874149	−	0.420968i	−0.0576651	−	0.998336i	$-0.518366\pi$
$643$	−22.1662	−	10.6747i	−0.874149	−	0.420968i	−0.816484	+	0.577368i	$0.804080\pi$
$644$	21.0462	−	41.2404i	0.829335	−	1.62510i
$645$	−14.9414	+	7.19542i	−0.588319	+	0.283319i
$646$	21.5406	+	10.8592i	0.847504	+	0.427249i
$647$	−0.328917	−	4.38909i	−0.0129311	−	0.172553i	−0.999930	−	0.0118266i	$-0.996235\pi$
$647$	−0.328917	−	4.38909i	−0.0129311	−	0.172553i	0.986999	−	0.160726i	$-0.0513837\pi$
$648$	0.685415	+	2.74412i	0.0269257	+	0.107799i
$649$	−0.943183	+	3.05773i	−0.0370232	+	0.120026i
$650$	4.90772	+	0.831047i	0.192497	+	0.0325964i
$651$	−13.8094	+	0.182437i	−0.541234	+	0.00715028i
$652$	−18.0966	+	18.1369i	−0.708717	+	0.710295i
$653$	22.9061	−	15.6171i	0.896383	−	0.611144i	−0.0250475	−	0.999686i	$-0.507974\pi$
$653$	22.9061	−	15.6171i	0.896383	−	0.611144i	0.921431	+	0.388542i	$0.127021\pi$
$654$	−18.2863	−	1.70451i	−0.715051	−	0.0666516i
$655$	−22.8666	+	13.2020i	−0.893473	+	0.515847i
$656$	−1.20258	−	1.11087i	−0.0469529	−	0.0433720i
$657$	−7.44348	+	1.69892i	−0.290398	+	0.0662814i
$658$	16.5851	−	34.0091i	0.646555	−	1.32581i
$659$	40.6687	+	9.28236i	1.58423	+	0.361589i	0.921839	−	0.387572i	$-0.126686\pi$
$659$	40.6687	+	9.28236i	1.58423	+	0.361589i	0.662388	+	0.749161i	$0.269543\pi$
$660$	3.11665	−	2.68814i	0.121316	−	0.104636i
$661$	1.19824	−	7.94983i	0.0466063	−	0.309213i	−0.953366	−	0.301816i	$-0.902407\pi$
$661$	1.19824	−	7.94983i	0.0466063	−	0.309213i	0.999973	−	0.00739709i	$-0.00235459\pi$
$662$	−2.09787	+	1.37522i	−0.0815359	+	0.0534494i
$663$	2.34737	+	2.17804i	0.0911641	+	0.0845879i
$664$	−16.7917	−	40.3483i	−0.651645	−	1.56582i
$665$	−37.1307	−	20.7883i	−1.43987	−	0.806137i
$666$	2.02865	−	2.86249i	0.0786086	−	0.110919i
$667$	−17.6518	−	10.1913i	−0.683482	−	0.394608i
$668$	36.5710	−	16.0042i	1.41498	−	0.619222i
$669$	−9.05244	+	8.39943i	−0.349987	+	0.324741i
$670$	−18.9677	−	4.69286i	−0.732784	−	0.181301i
$671$	−3.17068	+	3.97590i	−0.122403	+	0.153488i
$672$	10.9989	−	10.1501i	0.424290	−	0.391550i
$673$	20.5390	+	25.7551i	0.791720	+	0.992786i	0.999892	+	0.0146933i	$0.00467720\pi$
$673$	20.5390	+	25.7551i	0.791720	+	0.992786i	−0.208172	+	0.978092i	$0.566751\pi$
$674$	−14.4411	−	31.4337i	−0.556250	−	1.21078i
$675$	1.23232	−	3.13989i	0.0474319	−	0.120855i
$676$	−23.8067	−	0.864271i	−0.915641	−	0.0332412i
$677$	43.3480	−	17.0128i	1.66600	−	0.653857i	0.669929	−	0.742425i	$-0.266324\pi$
$677$	43.3480	−	17.0128i	1.66600	−	0.653857i	0.996070	+	0.0885685i	$0.0282292\pi$
$678$	−2.58119	−	1.06748i	−0.0991298	−	0.0409964i
$679$	48.9444	−	4.31876i	1.87831	−	0.165739i
$680$	24.7543	−	4.24842i	0.949283	−	0.162919i
$681$	−1.14677	+	15.3026i	−0.0439445	+	0.586399i
$682$	−2.70705	+	4.49825i	−0.103658	+	0.172247i
$683$	−10.0993	+	14.8129i	−0.386438	+	0.566801i	−0.969334	−	0.245746i	$-0.920967\pi$
$683$	−10.0993	+	14.8129i	−0.386438	+	0.566801i	0.582896	+	0.812547i	$0.301920\pi$
$684$	−0.428025	−	11.1086i	−0.0163659	−	0.424746i
$685$		−	15.9516i		−	0.609481i
$686$	−10.8545	+	23.8365i	−0.414426	+	0.910083i
$687$		−	21.5814i		−	0.823381i
$688$	−1.66230	+	22.8642i	−0.0633746	+	0.871689i
$689$	−6.26800	+	9.19347i	−0.238792	+	0.350243i
$690$	−30.6794	−	18.4629i	−1.16794	−	0.702870i
$691$	0.536451	−	7.15845i	0.0204076	−	0.272320i	−0.977660	−	0.210190i	$-0.932592\pi$
$691$	0.536451	−	7.15845i	0.0204076	−	0.272320i	0.998068	−	0.0621299i	$-0.0197893\pi$
$692$	28.8505	+	18.0833i	1.09673	+	0.687423i
$693$	−1.87432	+	0.165387i	−0.0711997	+	0.00628252i
$694$	13.1687	−	31.8421i	0.499877	−	1.20871i
$695$	−6.93228	+	2.72072i	−0.262956	+	0.103203i
$696$	−4.21205	−	5.06652i	−0.159657	−	0.192046i
$697$	−0.458871	+	1.16918i	−0.0173810	+	0.0442860i
$698$	−16.4358	+	7.55085i	−0.622105	+	0.285804i
$699$	−6.79496	−	8.52061i	−0.257009	−	0.322279i
$700$	−17.7059	+	2.25222i	−0.669220	+	0.0851259i
$701$	10.9754	−	13.7627i	0.414535	−	0.519810i	−0.530100	−	0.847935i	$-0.677845\pi$
$701$	10.9754	−	13.7627i	0.414535	−	0.519810i	0.944634	+	0.328125i	$0.106417\pi$
$702$	0.354419	−	1.43249i	0.0133767	−	0.0540660i
$703$	−10.1085	+	9.37929i	−0.381248	+	0.353746i
$704$	−1.07638	−	5.58669i	−0.0405675	−	0.210556i
$705$	−25.3415	−	14.6309i	−0.954417	−	0.551033i
$706$	−29.1590	−	20.6650i	−1.09741	−	0.777738i
$707$	9.67545	+	5.41698i	0.363883	+	0.203727i
$708$	8.49713	+	2.96267i	0.319342	+	0.111344i
$709$	24.2924	+	22.5400i	0.912318	+	0.846508i	0.988598	−	0.150579i	$-0.0481137\pi$
$709$	24.2924	+	22.5400i	0.912318	+	0.846508i	−0.0762796	+	0.997086i	$0.524304\pi$
$710$	−5.71951	−	8.72498i	−0.214649	−	0.327443i
$711$	−0.0706458	+	0.468705i	−0.00264943	+	0.0175778i
$712$	−0.730079	+	5.61791i	−0.0273609	+	0.210540i
$713$	44.5288	+	10.1634i	1.66762	+	0.380623i
$714$	−10.3205	−	5.03298i	−0.386236	−	0.188355i
$715$	−2.09350	+	0.477828i	−0.0782926	+	0.0178698i
$716$	−6.63308	+	9.00846i	−0.247890	+	0.336662i
$717$	−23.2045	+	13.3971i	−0.866588	+	0.500325i
$718$	−0.311877	+	3.34588i	−0.0116392	+	0.124867i
$719$	−12.4923	+	8.51714i	−0.465886	+	0.317636i	−0.773412	−	0.633904i	$-0.781451\pi$
$719$	−12.4923	+	8.51714i	−0.465886	+	0.317636i	0.307526	+	0.951540i	$0.400499\pi$
$720$	−7.23669	−	9.03323i	−0.269696	−	0.336649i
$721$	−4.14782	+	0.0547973i	−0.154473	+	0.00204076i
$722$	−2.80877	+	16.5871i	−0.104532	+	0.617307i
$723$	−6.60436	+	21.4108i	−0.245619	+	0.796277i
$724$	13.9200	−	26.4090i	0.517333	−	0.981481i
$725$	0.587184	+	7.83543i	0.0218075	+	0.291001i
$726$	6.68083	−	13.2523i	0.247949	−	0.491840i
$727$	16.8482	−	8.11367i	0.624866	−	0.300919i	−0.0945279	−	0.995522i	$-0.530134\pi$
$727$	16.8482	−	8.11367i	0.624866	−	0.300919i	0.719393	+	0.694603i	$0.244420\pi$
$728$	−7.55020	+	1.99218i	−0.279829	+	0.0738350i
$729$	−0.900969	−	0.433884i	−0.0333692	−	0.0160698i
$730$	24.7766	−	19.0337i	0.917023	−	0.704467i
$731$	16.8063	−	5.18404i	0.621602	−	0.191739i
$732$	10.8503	+	9.31644i	0.401038	+	0.344346i
$733$	−0.476072	−	3.15853i	−0.0175841	−	0.116663i	0.978317	−	0.207114i	$-0.0664072\pi$
$733$	−0.476072	−	3.15853i	−0.0175841	−	0.116663i	−0.995901	+	0.0904513i	$0.971169\pi$
$734$	23.3087	+	26.0532i	0.860339	+	0.961643i
$735$	17.8031	+	9.66074i	0.656677	+	0.356342i
$736$	−43.2543	+	24.0630i	−1.59437	+	0.886974i
$737$	3.35784	−	0.506112i	0.123688	−	0.0186429i
$738$	0.573822	−	0.0758697i	0.0211227	−	0.00279280i
$739$	4.31995	+	14.0049i	0.158912	+	0.515180i	0.999655	−	0.0262537i	$-0.00835779\pi$
$739$	4.31995	+	14.0049i	0.158912	+	0.515180i	−0.840743	+	0.541434i	$0.817882\pi$
$740$	−2.65350	+	14.1100i	−0.0975446	+	0.518693i
$741$	−2.51653	+	5.22563i	−0.0924471	+	0.191968i
$742$	11.9483	−	38.0676i	0.438636	−	1.39751i
$743$	12.6636	+	26.2961i	0.464581	+	0.964712i	0.993262	+	0.115891i	$0.0369724\pi$
$743$	12.6636	+	26.2961i	0.464581	+	0.964712i	−0.528681	+	0.848820i	$0.677313\pi$
$744$	12.3656	+	8.06678i	0.453345	+	0.295743i
$745$	68.7454	−	5.15176i	2.51864	−	0.188746i
$746$	28.8521	−	10.7237i	1.05635	−	0.392622i
$747$	14.7649	+	4.55436i	0.540218	+	0.166635i
$748$	−3.69330	+	2.32639i	−0.135040	+	0.0850611i
$749$	−3.25192	−	6.53057i	−0.118823	−	0.238622i
$750$	−0.377000	−	6.64708i	−0.0137661	−	0.242717i
$751$	−16.8207	−	24.6714i	−0.613796	−	0.900273i	0.385957	−	0.922517i	$-0.373871\pi$
$751$	−16.8207	−	24.6714i	−0.613796	−	0.900273i	−0.999753	+	0.0222436i	$0.992919\pi$
$752$	−34.9858	+	20.3029i	−1.27580	+	0.740372i
$753$	9.54506	+	16.5325i	0.347841	+	0.602479i
$754$	0.703998	+	3.36469i	0.0256381	+	0.122535i
$755$	9.15966	+	40.1311i	0.333354	+	1.46052i
$756$	0.273567	+	5.28443i	0.00994953	+	0.192193i
$757$	−5.52150	+	24.1913i	−0.200682	+	0.879247i	0.769840	+	0.638237i	$0.220336\pi$
$757$	−5.52150	+	24.1913i	−0.200682	+	0.879247i	−0.970523	+	0.241010i	$0.922521\pi$
$758$	24.6402	+	0.447118i	0.894972	+	0.0162401i
$759$	6.15327	+	0.927456i	0.223350	+	0.0336645i
$760$	20.5690	+	40.5765i	0.746116	+	1.47187i
$761$	−15.7855	+	17.0127i	−0.572223	+	0.616710i	−0.951155	−	0.308715i	$-0.900101\pi$
$761$	−15.7855	+	17.0127i	−0.572223	+	0.616710i	0.378932	+	0.925425i	$0.376292\pi$
$762$	12.7572	+	23.0521i	0.462145	+	0.835090i
$763$	−32.9633	−	9.69285i	−1.19335	−	0.350905i
$764$	0.690819	+	6.07050i	0.0249929	+	0.219623i
$765$	−4.43996	+	7.69023i	−0.160527	+	0.278041i
$766$	−9.89130	+	30.1157i	−0.357387	+	1.08812i
$767$	−3.19340	−	3.44167i	−0.115307	−	0.124271i
$768$	−15.8105	+	2.45503i	−0.570513	+	0.0885884i
$769$	22.8211	+	18.1992i	0.822950	+	0.656281i	0.941629	−	0.336652i	$-0.109295\pi$
$769$	22.8211	+	18.1992i	0.822950	+	0.656281i	−0.118679	+	0.992933i	$0.537866\pi$
$770$	6.68723	−	3.81701i	0.240991	−	0.137556i
$771$	13.7133	−	10.9360i	0.493871	−	0.393849i
$772$	8.88275	−	20.4214i	0.319697	−	0.734983i
$773$	18.7959	+	7.37684i	0.676041	+	0.265327i	0.678424	−	0.734670i	$-0.262663\pi$
$773$	18.7959	+	7.37684i	0.676041	+	0.265327i	−0.00238279	+	0.999997i	$0.500758\pi$
$774$	−5.84042	−	5.61972i	−0.209930	−	0.201997i
$775$	−6.43260	−	16.3900i	−0.231066	−	0.588746i
$776$	−46.0152	−	25.3316i	−1.65185	−	0.909351i
$777$	4.75215	−	4.52763i	0.170482	−	0.162428i
$778$	−0.992481	−	3.43779i	−0.0355822	−	0.123251i
$779$	−2.26861	−	0.170009i	−0.0812813	−	0.00609119i
$780$	1.12928	+	5.93228i	0.0404348	+	0.212410i
$781$	1.49802	+	1.02133i	0.0536035	+	0.0365462i
$782$	29.2548	+	24.2111i	1.04615	+	0.865789i
$783$	2.32946			0.0832480
$784$	23.8378	−	14.6888i	0.851350	−	0.524599i
$785$	−20.6935			−0.738583
$786$	−9.94158	−	8.22760i	−0.354604	−	0.293469i
$787$	21.1260	+	14.4035i	0.753061	+	0.513428i	0.877956	−	0.478742i	$-0.158907\pi$
$787$	21.1260	+	14.4035i	0.753061	+	0.513428i	−0.124895	+	0.992170i	$0.539859\pi$
$788$	−6.72395	−	35.3219i	−0.239531	−	1.25829i
$789$	−26.4752	−	1.98404i	−0.942541	−	0.0706337i
$790$	−0.538014	−	1.86359i	−0.0191417	−	0.0663036i
$791$	−4.35612	−	2.88641i	−0.154886	−	0.102629i
$792$	1.76215	+	0.970073i	0.0626153	+	0.0344700i
$793$	−2.72597	−	6.94565i	−0.0968019	−	0.246647i
$794$	23.7197	+	22.8234i	0.841781	+	0.809971i
$795$	−28.7228	−	11.2729i	−1.01869	−	0.399808i
$796$	10.3597	−	23.8170i	0.367191	−	0.844170i
$797$	3.22548	−	2.57224i	0.114252	−	0.0911133i	−0.564697	−	0.825298i	$-0.691007\pi$
$797$	3.22548	−	2.57224i	0.114252	−	0.0911133i	0.678949	+	0.734185i	$0.262436\pi$
$798$	3.20115	−	20.5498i	0.113319	−	0.727455i
$799$	24.2627	+	19.3489i	0.858354	+	0.684514i
$800$	17.0573	+	8.55152i	0.603068	+	0.302342i
$801$	−1.36234	−	1.46825i	−0.0481359	−	0.0518782i
$802$	−12.5974	+	38.3548i	−0.444829	+	1.35435i
$803$	−2.71489	+	4.70233i	−0.0958065	+	0.165942i
$804$	−1.07978	−	9.48842i	−0.0380808	−	0.334631i
$805$	−49.7031	−	44.9106i	−1.75180	−	1.58289i
$806$	−3.72982	−	6.73975i	−0.131377	−	0.237398i
$807$	−21.7040	+	23.3913i	−0.764017	+	0.823414i
$808$	−5.35982	−	10.5733i	−0.188558	−	0.371969i
$809$	15.5789	+	2.34814i	0.547725	+	0.0825563i	0.417075	−	0.908872i	$-0.363055\pi$
$809$	15.5789	+	2.34814i	0.547725	+	0.0825563i	0.130651	+	0.991428i	$0.458293\pi$
$810$	4.09153	+	0.0742444i	0.143762	+	0.00260868i
$811$	6.79000	−	29.7490i	0.238429	−	1.04463i	−0.703994	−	0.710206i	$-0.748602\pi$
$811$	6.79000	−	29.7490i	0.238429	−	1.04463i	0.942424	−	0.334421i	$-0.108541\pi$
$812$	−5.91520	−	10.8143i	−0.207583	−	0.379507i
$813$	5.63309	+	24.6802i	0.197561	+	0.865572i
$814$	−0.510996	−	2.44226i	−0.0179104	−	0.0856011i
$815$	18.5344	+	32.1024i	0.649230	+	1.12450i
$816$	6.16120	+	10.6169i	0.215685	+	0.371666i
$817$	17.9451	+	26.3206i	0.627819	+	0.920841i
$818$	−1.52392	−	26.8690i	−0.0532827	−	0.939454i
$819$	1.16489	−	2.50296i	0.0407044	−	0.0874606i
$820$	−2.00418	+	1.26242i	−0.0699889	+	0.0440856i
$821$	−34.1640	−	10.5382i	−1.19233	−	0.367786i	−0.365810	−	0.930689i	$-0.619208\pi$
$821$	−34.1640	−	10.5382i	−1.19233	−	0.367786i	−0.826523	+	0.562903i	$0.809684\pi$
$822$	7.30768	−	2.71611i	0.254885	−	0.0947351i
$823$	−32.0457	+	2.40149i	−1.11704	+	0.0837107i	−0.620430	−	0.784262i	$-0.713042\pi$
$823$	−32.0457	+	2.40149i	−1.11704	+	0.0837107i	−0.496612	+	0.867973i	$0.665423\pi$
$824$	3.71415	+	2.42295i	0.129389	+	0.0844076i
$825$	−1.04082	−	2.16129i	−0.0362368	−	0.0752466i
$826$	14.5380	+	8.48944i	0.505843	+	0.295386i
$827$	14.9672	−	31.0796i	0.520459	−	1.08074i	−0.460703	−	0.887555i	$-0.652402\pi$
$827$	14.9672	−	31.0796i	0.520459	−	1.08074i	0.981161	−	0.193190i	$-0.0618832\pi$
$828$	3.23430	−	17.1984i	0.112400	−	0.597685i
$829$	2.65898	+	8.62019i	0.0923501	+	0.299392i	0.989950	−	0.141420i	$-0.0451668\pi$
$829$	2.65898	+	8.62019i	0.0923501	+	0.299392i	−0.897600	+	0.440812i	$0.854691\pi$
$830$	−62.6844	+	8.28802i	−2.17581	+	0.287681i
$831$	30.1707	−	4.54750i	1.04661	−	0.157751i
$832$	7.88845	+	2.73078i	0.273483	+	0.0946729i
$833$	−17.1429	−	12.9451i	−0.593966	−	0.448523i
$834$	−2.42677	−	2.71252i	−0.0840322	−	0.0939269i
$835$	−8.60811	−	57.1111i	−0.297896	−	1.97641i
$836$	−5.99829	−	5.15035i	−0.207455	−	0.178128i
$837$	−4.98802	+	1.53860i	−0.172411	+	0.0531818i
$838$	27.8166	−	21.3690i	0.960907	−	0.738179i
$839$	−14.5846	−	7.02359i	−0.503518	−	0.242481i	0.164841	−	0.986320i	$-0.447289\pi$
$839$	−14.5846	−	7.02359i	−0.503518	−	0.242481i	−0.668359	+	0.743839i	$0.733003\pi$
$840$	−10.0450	−	19.1831i	−0.346584	−	0.661879i
$841$	21.2391	−	10.2282i	0.732383	−	0.352697i
$842$	−14.4570	+	28.6774i	−0.498222	+	0.988288i
$843$	0.978696	+	13.0598i	0.0337081	+	0.449803i
$844$	−21.5016	+	40.7927i	−0.740115	+	1.40414i
$845$	−10.1592	+	32.9352i	−0.349486	+	1.13301i
$846$	2.38771	−	14.1006i	0.0820913	−	0.484787i
$847$	17.0230	−	21.9344i	0.584917	−	0.753676i
$848$	−33.2886	+	26.6681i	−1.14314	+	0.915787i
$849$	−7.55427	+	5.15041i	−0.259262	+	0.176762i
$850$	1.35863	−	14.5756i	0.0466005	−	0.499940i
$851$	−18.7990	+	10.8536i	−0.644423	+	0.372058i
$852$	3.02317	−	4.10580i	0.103572	−	0.140662i
$853$	27.8368	−	6.35358i	0.953116	−	0.217542i	0.282433	−	0.959287i	$-0.408858\pi$
$853$	27.8368	−	6.35358i	0.953116	−	0.217542i	0.670682	+	0.741745i	$0.266001\pi$
$854$	16.5781	+	21.0000i	0.567292	+	0.718607i
$855$	−15.6807	−	3.57901i	−0.536267	−	0.122400i
$856$	−1.00509	+	7.73411i	−0.0343533	+	0.264346i
$857$	−3.32701	+	22.0733i	−0.113649	+	0.754009i	0.857317	+	0.514789i	$0.172130\pi$
$857$	−3.32701	+	22.0733i	−0.113649	+	0.754009i	−0.970965	+	0.239220i	$0.923108\pi$
$858$	−0.575363	−	0.877704i	−0.0196426	−	0.0299643i
$859$	−18.6336	−	17.2895i	−0.635770	−	0.589909i	0.295007	−	0.955495i	$-0.404678\pi$
$859$	−18.6336	−	17.2895i	−0.635770	−	0.589909i	−0.930777	+	0.365586i	$0.880868\pi$
$860$	31.3184	+	10.9197i	1.06795	+	0.372359i
$861$	1.08081	+	0.0666510i	0.0368340	+	0.00227146i
$862$	−20.3766	−	14.4409i	−0.694028	−	0.491859i
$863$	12.1120	+	6.99287i	0.412297	+	0.238040i	0.691776	−	0.722112i	$-0.256828\pi$
$863$	12.1120	+	6.99287i	0.412297	+	0.238040i	−0.279479	+	0.960152i	$0.590162\pi$
$864$	2.90606	−	4.85333i	0.0988660	−	0.165114i
$865$	36.1124	−	33.5074i	1.22786	−	1.13928i
$866$	−1.44981	+	5.85984i	−0.0492664	+	0.199125i
$867$	−4.72764	+	5.92828i	−0.160559	+	0.201335i
$868$	19.8089	+	19.2494i	0.672357	+	0.653368i
$869$	0.210177	+	0.263554i	0.00712978	+	0.00894046i
$870$	−8.66221	+	3.97954i	−0.293676	+	0.134919i
$871$	−1.82027	+	4.63797i	−0.0616775	+	0.157152i
$872$	23.4816	+	28.2452i	0.795188	+	0.956503i
$873$	17.2874	−	6.78479i	0.585089	−	0.229630i
$874$	−26.2860	+	63.5601i	−0.889139	+	2.14995i
$875$	1.69354	−	12.3399i	0.0572521	−	0.417164i
$876$	12.9383	+	8.10964i	0.437146	+	0.273999i
$877$	1.56012	−	20.8184i	0.0526815	−	0.702986i	−0.906862	−	0.421427i	$-0.861529\pi$
$877$	1.56012	−	20.8184i	0.0526815	−	0.702986i	0.959544	−	0.281559i	$-0.0908515\pi$
$878$	−30.5614	−	18.3919i	−1.03140	−	0.620697i
$879$	5.95097	−	8.72847i	0.200721	−	0.294404i
$880$	−8.20988	−	0.596885i	−0.276755	−	0.0201210i
$881$			8.17595i			0.275455i	0.990470	+	0.137727i	$0.0439798\pi$
$881$			8.17595i			0.275455i	−0.990470	+	0.137727i	$0.956020\pi$
$882$	−1.39437	+	9.80080i	−0.0469510	+	0.330010i
$883$			12.6431i			0.425473i	0.977110	+	0.212736i	$0.0682376\pi$
$883$			12.6431i			0.425473i	−0.977110	+	0.212736i	$0.931762\pi$
$884$	−0.246584	−	6.39961i	−0.00829352	−	0.215242i
$885$	7.33419	−	10.7573i	0.246536	−	0.361602i
$886$	−14.4935	+	24.0835i	−0.486918	+	0.809101i
$887$	0.691332	−	9.22519i	0.0232127	−	0.309751i	−0.973497	−	0.228699i	$-0.926553\pi$
$887$	0.691332	−	9.22519i	0.0232127	−	0.309751i	0.996710	−	0.0810524i	$-0.0258281\pi$
$888$	−6.91580	+	1.18691i	−0.232079	+	0.0398302i
$889$	15.1494	+	46.9042i	0.508096	+	1.57312i
$890$	7.57423	+	3.13242i	0.253889	+	0.104999i
$891$	−0.662019	+	0.259823i	−0.0221785	+	0.00870441i
$892$	24.6817	+	0.896037i	0.826404	+	0.0300015i
$893$	−20.5356	+	52.3239i	−0.687199	+	1.75095i
$894$	14.0655	+	30.6161i	0.470419	+	1.02396i
$895$	10.0915	+	12.6544i	0.337323	+	0.422989i
$896$	−29.9105	−	1.16702i	−0.999240	−	0.0389872i
$897$	−5.69263	+	7.13833i	−0.190071	+	0.238342i
$898$	23.9698	+	5.93046i	0.799881	+	0.197902i
$899$	8.91361	−	8.27062i	0.297285	−	0.275841i
$900$	−6.18024	+	2.70460i	−0.206008	+	0.0901532i
$901$	28.3395	+	16.3618i	0.944125	+	0.545091i
$902$	0.238019	−	0.335852i	0.00792516	−	0.0111826i
$903$	−8.70646	−	12.4145i	−0.289733	−	0.413127i
$904$	2.14644	+	5.15761i	0.0713895	+	0.171540i
$905$	−31.6617	−	29.3778i	−1.05247	−	0.976550i
$906$	−16.8250	+	11.0293i	−0.558973	+	0.366425i
$907$	2.33440	−	15.4877i	0.0775124	−	0.514261i	−0.916058	−	0.401046i	$-0.868647\pi$
$907$	2.33440	−	15.4877i	0.0775124	−	0.514261i	0.993570	−	0.113215i	$-0.0361150\pi$
$908$	23.2407	−	20.0453i	0.771270	−	0.665226i
$909$	4.08603	+	0.932610i	0.135525	+	0.0309327i
$910$	−0.0557373	+	11.2974i	−0.00184767	+	0.374507i
$911$	6.16787	−	1.40778i	0.204351	−	0.0466417i	−0.119120	−	0.992880i	$-0.538007\pi$
$911$	6.16787	−	1.40778i	0.204351	−	0.0466417i	0.323471	+	0.946238i	$0.395150\pi$
$912$	−15.0864	+	16.3320i	−0.499561	+	0.540806i
$913$	9.51647	−	5.49434i	0.314949	−	0.181836i
$914$	31.9201	+	2.97534i	1.05582	+	0.0984156i
$915$	17.0958	−	11.6558i	0.565171	−	0.385327i
$916$	−30.4867	+	30.5546i	−1.00731	+	1.00955i
$917$	−15.3005	−	18.6747i	−0.505267	−	0.616693i
$918$	−4.27900	−	0.724584i	−0.141228	−	0.0239148i
$919$	−0.199377	+	0.646364i	−0.00657683	+	0.0213216i	−0.958802	−	0.284076i	$-0.908313\pi$
$919$	−0.199377	+	0.646364i	−0.00657683	+	0.0213216i	0.952225	+	0.305398i	$0.0987894\pi$
$920$	17.3540	+	69.4784i	0.572145	+	2.29064i
$921$	−2.14356	−	28.6038i	−0.0706327	−	0.942528i
$922$	7.84276	+	3.95374i	0.258288	+	0.130210i
$923$	−2.39675	+	1.15421i	−0.0788899	+	0.0379914i
$924$	2.88727	+	2.41359i	0.0949843	+	0.0794013i
$925$	7.53937	+	3.63077i	0.247893	+	0.119379i
$926$	−9.16253	−	11.9271i	−0.301100	−	0.391949i
$927$	−1.49821	+	0.462137i	−0.0492077	+	0.0151786i
$928$	−1.19381	+	13.1232i	−0.0391887	+	0.430791i
$929$	4.73126	+	31.3898i	0.155228	+	1.02987i	0.921788	+	0.387695i	$0.126729\pi$
$929$	4.73126	+	31.3898i	0.155228	+	1.02987i	−0.766560	+	0.642173i	$0.778033\pi$
$930$	15.9197	−	14.2427i	0.522029	−	0.467036i
$931$	13.2532	−	36.5821i	0.434356	−	1.19893i
$932$	−2.41635	+	21.6622i	−0.0791501	+	0.709569i
$933$	10.7599	−	1.62179i	0.352262	−	0.0530950i
$934$	−2.35025	−	17.7755i	−0.0769025	−	0.581633i
$935$	1.86144	+	6.03465i	0.0608757	+	0.197354i
$936$	−2.52538	+	1.52744i	−0.0825446	+	0.0499259i
$937$	18.2416	−	37.8790i	0.595927	−	1.23745i	−0.356958	−	0.934121i	$-0.616186\pi$
$937$	18.2416	−	37.8790i	0.595927	−	1.23745i	0.952884	−	0.303334i	$-0.0980998\pi$
$938$	1.42299	−	17.8090i	0.0464623	−	0.581485i
$939$	1.99889	+	4.15075i	0.0652314	+	0.135454i
$940$	15.2099	+	56.5127i	0.496093	+	1.84324i
$941$	−11.7215	+	0.878405i	−0.382110	+	0.0286352i	−0.264401	−	0.964413i	$-0.585174\pi$
$941$	−11.7215	+	0.878405i	−0.382110	+	0.0286352i	−0.117709	+	0.993048i	$0.537555\pi$
$942$	−3.52351	−	9.48000i	−0.114802	−	0.308875i
$943$	−3.42211	−	1.05558i	−0.111439	−	0.0343744i
$944$	−7.84492	−	16.1979i	−0.255330	−	0.527196i
$945$	7.48572	+	1.60483i	0.243510	+	0.0522052i
$946$	−5.75490	+	0.326399i	−0.187108	+	0.0106121i
$947$	7.81862	+	11.4678i	0.254071	+	0.372654i	0.931991	−	0.362482i	$-0.118071\pi$
$947$	7.81862	+	11.4678i	0.254071	+	0.372654i	−0.677920	+	0.735136i	$0.737118\pi$
$948$	0.762130	−	0.563788i	0.0247528	−	0.0183110i
$949$	−3.98339	−	6.89943i	−0.129306	−	0.223965i
$950$	25.9528	−	5.43014i	0.842021	−	0.176177i
$951$	−5.21792	−	22.8612i	−0.169203	−	0.741325i
$952$	7.50187	+	21.7048i	0.243137	+	0.703457i
$953$	−6.50213	+	28.4877i	−0.210625	+	0.922807i	0.753519	+	0.657426i	$0.228355\pi$
$953$	−6.50213	+	28.4877i	−0.210625	+	0.922807i	−0.964144	+	0.265381i	$0.914502\pi$
$954$	0.273600	−	15.0778i	0.00885813	−	0.488162i
$955$	8.74083	+	1.31747i	0.282847	+	0.0426323i
$956$	51.7779	+	13.8121i	1.67462	+	0.446717i
$957$	1.12682	−	1.21442i	0.0364248	−	0.0392566i
$958$	0.462081	−	0.255719i	0.0149292	−	0.00826189i
$959$	14.3923	−	2.36414i	0.464752	−	0.0763420i
$960$	−2.51510	+	23.0120i	−0.0811746	+	0.742708i
$961$	1.87620	−	3.24967i	0.0605226	−	0.104828i
$962$	3.47816	+	1.14238i	0.112140	+	0.0368318i
$963$	−1.87552	−	2.02133i	−0.0604377	−	0.0651363i
$964$	39.5961	−	20.9835i	1.27531	−	0.675834i
$965$	−25.1906	−	20.0889i	−0.810915	−	0.646683i
$966$	12.1112	−	30.4167i	0.389671	−	0.978641i
$967$	−15.8498	+	12.6398i	−0.509696	+	0.406469i	−0.844284	−	0.535895i	$-0.819974\pi$
$967$	−15.8498	+	12.6398i	−0.509696	+	0.406469i	0.334588	+	0.942364i	$0.391403\pi$
$968$	−28.1794	+	9.32482i	−0.905720	+	0.299711i
$969$	15.8784	+	6.23182i	0.510088	+	0.200195i
$970$	−52.6931	+	54.7626i	−1.69188	+	1.75832i
$971$	13.4373	+	34.2378i	0.431225	+	1.09874i	0.967089	+	0.254439i	$0.0818908\pi$
$971$	13.4373	+	34.2378i	0.431225	+	1.09874i	−0.535864	+	0.844304i	$0.680014\pi$
$972$	0.662657	+	1.88703i	0.0212547	+	0.0605265i
$973$	−3.48217	−	5.85140i	−0.111633	−	0.187587i
$974$	−51.2550	+	14.7972i	−1.64232	+	0.474132i
$975$	3.50984	+	0.263026i	0.112405	+	0.00842358i
$976$	−2.20090	−	28.5176i	−0.0704490	−	0.912827i
$977$	−33.1124	−	22.5757i	−1.05936	−	0.722259i	−0.0973433	−	0.995251i	$-0.531034\pi$
$977$	−33.1124	−	22.5757i	−1.05936	−	0.722259i	−0.962016	+	0.272992i	$0.911987\pi$
$978$	−11.5507	+	13.9570i	−0.369352	+	0.446295i
$979$	−1.42445			−0.0455255
$980$	−11.5582	−	38.8269i	−0.369213	−	1.24028i
$981$	−12.9864			−0.414625
$982$	27.2090	−	32.8772i	0.868275	−	1.04915i
$983$	1.79748	+	1.22550i	0.0573306	+	0.0390873i	0.591646	−	0.806198i	$-0.298478\pi$
$983$	1.79748	+	1.22550i	0.0573306	+	0.0390873i	−0.534316	+	0.845285i	$0.679431\pi$
$984$	−0.919586	−	0.703189i	−0.0293153	−	0.0224168i
$985$	−51.8763	−	3.88759i	−1.65292	−	0.123869i
$986$	9.71299	−	2.80411i	0.309324	−	0.0893012i
$987$	9.44493	−	25.0327i	0.300636	−	0.796800i
$988$	10.9448	−	3.84342i	0.348201	−	0.122276i
$989$	18.3208	+	46.6805i	0.582566	+	1.48435i
$990$	2.01788	−	2.09713i	0.0641325	−	0.0666512i
$991$	10.2776	+	4.03368i	0.326480	+	0.128134i	0.522920	−	0.852382i	$-0.324843\pi$
$991$	10.2776	+	4.03368i	0.326480	+	0.128134i	−0.196440	+	0.980516i	$0.562938\pi$
$992$	−6.11157	−	28.8890i	−0.194042	−	0.917225i
$993$	−1.38676	+	1.10591i	−0.0440075	+	0.0350948i
$994$	7.02441	−	6.45350i	0.222801	−	0.204693i
$995$	−29.3792	−	23.4291i	−0.931382	−	0.742753i
$996$	−14.4702	−	27.3054i	−0.458506	−	0.865206i
$997$	2.48145	+	2.67437i	0.0785884	+	0.0846981i	0.771122	−	0.636688i	$-0.219696\pi$
$997$	2.48145	+	2.67437i	0.0785884	+	0.0846981i	−0.692533	+	0.721386i	$0.743505\pi$
$998$	26.5439	+	8.71818i	0.840234	+	0.275969i
$999$	1.24043	−	2.14848i	0.0392453	−	0.0679749i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.ba.a.103.7	✓	336
4.3	odd	2		588.2.ba.b.103.10	yes	336
49.10	odd	42		588.2.ba.b.451.10	yes	336
196.59	even	42	inner	588.2.ba.a.451.7	yes	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.ba.a.103.7	✓	336	1.1	even	1	trivial
588.2.ba.a.451.7	yes	336	196.59	even	42	inner
588.2.ba.b.103.10	yes	336	4.3	odd	2
588.2.ba.b.451.10	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)

\(f(q)\)	\(=\)	\(q+(-1.08950 - 0.901663i) q^{2} +(-0.826239 - 0.563320i) q^{3} +(0.374008 + 1.96472i) q^{4} +(2.88553 + 0.216241i) q^{5} +(0.392260 + 1.35872i) q^{6} +(0.232552 + 2.63551i) q^{7} +(1.36403 - 2.47778i) q^{8} +(0.365341 + 0.930874i) q^{9} +O(q^{10})\)	\(q+(-1.08950 - 0.901663i) q^{2} +(-0.826239 - 0.563320i) q^{3} +(0.374008 + 1.96472i) q^{4} +(2.88553 + 0.216241i) q^{5} +(0.392260 + 1.35872i) q^{6} +(0.232552 + 2.63551i) q^{7} +(1.36403 - 2.47778i) q^{8} +(0.365341 + 0.930874i) q^{9} +(-2.94880 - 2.83737i) q^{10} +(0.662019 + 0.259823i) q^{11} +(0.797745 - 1.83401i) q^{12} +(-0.815816 + 0.650592i) q^{13} +(2.12298 - 3.08107i) q^{14} +(-2.26233 - 1.80415i) q^{15} +(-3.72024 + 1.46964i) q^{16} +(2.08730 + 2.24958i) q^{17} +(0.441296 - 1.34360i) q^{18} +(-2.77920 + 4.81371i) q^{19} +(0.654361 + 5.75014i) q^{20} +(1.29249 - 2.30856i) q^{21} +(-0.486995 - 0.879995i) q^{22} +(-5.95146 + 6.41415i) q^{23} +(-2.52280 + 1.27886i) q^{24} +(3.33539 + 0.502729i) q^{25} +(1.47544 + 0.0267732i) q^{26} +(0.222521 - 0.974928i) q^{27} +(-5.09106 + 1.44260i) q^{28} +(0.518353 + 2.27105i) q^{29} +(0.838068 + 4.00547i) q^{30} +(-2.60996 - 4.52059i) q^{31} +(5.37831 + 1.75323i) q^{32} +(-0.400622 - 0.587605i) q^{33} +(-0.245751 - 4.33296i) q^{34} +(0.101133 + 7.65514i) q^{35} +(-1.69226 + 1.06595i) q^{36} +(2.37063 + 0.731244i) q^{37} +(7.36828 - 2.73863i) q^{38} +(1.04055 - 0.0779785i) q^{39} +(4.47176 - 6.85477i) q^{40} +(0.177582 + 0.368753i) q^{41} +(-3.48971 + 1.34978i) q^{42} +(2.48665 - 5.16357i) q^{43} +(-0.262879 + 1.39786i) q^{44} +(0.852911 + 2.76507i) q^{45} +(12.2675 - 1.62199i) q^{46} +(9.99959 - 1.50720i) q^{47} +(3.90168 + 0.881408i) q^{48} +(-6.89184 + 1.22579i) q^{49} +(-3.18060 - 3.55512i) q^{50} +(-0.457379 - 3.03451i) q^{51} +(-1.58335 - 1.35952i) q^{52} +(10.1896 - 3.14308i) q^{53} +(-1.12149 + 0.861542i) q^{54} +(1.85409 + 0.892884i) q^{55} +(6.84744 + 3.01871i) q^{56} +(5.00794 - 2.41170i) q^{57} +(1.48298 - 2.94169i) q^{58} +(0.336241 + 4.48682i) q^{59} +(2.69851 - 5.11960i) q^{60} +(-2.10768 + 6.83293i) q^{61} +(-1.23250 + 7.27847i) q^{62} +(-2.36837 + 1.17934i) q^{63} +(-4.27883 - 6.75956i) q^{64} +(-2.49475 + 1.70089i) q^{65} +(-0.0933446 + 1.00142i) q^{66} +(4.13512 - 2.38742i) q^{67} +(-3.63912 + 4.94233i) q^{68} +(8.53055 - 1.94704i) q^{69} +(6.79217 - 8.43144i) q^{70} +(2.48545 + 0.567288i) q^{71} +(2.80484 + 0.364505i) q^{72} +(-1.13792 + 7.54962i) q^{73} +(-1.92346 - 2.93420i) q^{74} +(-2.47263 - 2.29426i) q^{75} +(-10.4970 - 3.65997i) q^{76} +(-0.530813 + 1.80518i) q^{77} +(-1.20399 - 0.853268i) q^{78} +(0.410495 + 0.236999i) q^{79} +(-11.0527 + 3.43624i) q^{80} +(-0.733052 + 0.680173i) q^{81} +(0.139016 - 0.561874i) q^{82} +(9.63374 - 12.0803i) q^{83} +(5.01908 + 1.67596i) q^{84} +(5.53654 + 6.94260i) q^{85} +(-7.36500 + 3.38358i) q^{86} +(0.851046 - 2.16843i) q^{87} +(1.54680 - 1.28593i) q^{88} +(-1.86448 + 0.731753i) q^{89} +(1.56392 - 3.78157i) q^{90} +(-1.90436 - 1.99880i) q^{91} +(-14.8279 - 9.29400i) q^{92} +(-0.390085 + 5.20533i) q^{93} +(-12.2535 - 7.37417i) q^{94} +(-9.06039 + 13.2892i) q^{95} +(-3.45614 - 4.47829i) q^{96} -18.5711i q^{97} +(8.61389 + 4.87862i) q^{98} +0.711180i 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

Introduction

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