LMFDB - Embedded newform 232.2.v.a.11.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [232,2,Mod(3,232)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(232, base_ring=CyclotomicField(28))

chi = DirichletCharacter(H, H._module([14, 14, 5]))

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

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

chi := DirichletCharacter("232.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 232 = 2^{3} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	232.v (of order $28$, 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:	$1.85252932689$
Analytic rank:	$0$
Dimension:	$336$
Relative dimension:	$28$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			11.13
Character	$\chi$	$=$	232.11
Dual form			232.2.v.a.211.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.411819 + 1.35292i) q^{2} +(0.338637 + 3.00549i) q^{3} +(-1.66081 - 1.11432i) q^{4} +(-1.55478 - 0.748742i) q^{5} +(-4.20565 - 0.779567i) q^{6} +(-2.09077 - 1.66734i) q^{7} +(2.19155 - 1.78805i) q^{8} +(-5.99349 + 1.36797i) q^{9} +O(q^{10})$	\(q+(-0.411819 + 1.35292i) q^{2} +(0.338637 + 3.00549i) q^{3} +(-1.66081 - 1.11432i) q^{4} +(-1.55478 - 0.748742i) q^{5} +(-4.20565 - 0.779567i) q^{6} +(-2.09077 - 1.66734i) q^{7} +(2.19155 - 1.78805i) q^{8} +(-5.99349 + 1.36797i) q^{9} +(1.65328 - 1.79515i) q^{10} +(-0.335866 - 0.534528i) q^{11} +(2.78667 - 5.36889i) q^{12} +(-1.04679 + 4.58629i) q^{13} +(3.11680 - 2.14202i) q^{14} +(1.72383 - 4.92642i) q^{15} +(1.51658 + 3.70135i) q^{16} +(-5.02678 + 5.02678i) q^{17} +(0.617468 - 8.67209i) q^{18} +(5.95600 + 0.671080i) q^{19} +(1.74785 + 2.97604i) q^{20} +(4.30314 - 6.84841i) q^{21} +(0.861493 - 0.234273i) q^{22} +(1.96392 + 4.07812i) q^{23} +(6.11610 + 5.98116i) q^{24} +(-1.26073 - 1.58090i) q^{25} +(-5.77381 - 3.30495i) q^{26} +(-3.14425 - 8.98575i) q^{27} +(1.61443 + 5.09892i) q^{28} +(-1.22650 + 5.24363i) q^{29} +(5.95517 + 4.36100i) q^{30} +(-2.48261 - 7.09490i) q^{31} +(-5.63220 + 0.527526i) q^{32} +(1.49278 - 1.19045i) q^{33} +(-4.73073 - 8.87099i) q^{34} +(2.00228 + 4.15779i) q^{35} +(11.4784 + 4.40672i) q^{36} +(-0.312326 - 0.196248i) q^{37} +(-3.36072 + 7.78166i) q^{38} +(-14.1385 - 1.59303i) q^{39} +(-4.74616 + 1.13912i) q^{40} +(0.0616666 + 0.0616666i) q^{41} +(7.49326 + 8.64213i) q^{42} +(-0.767020 + 2.19202i) q^{43} +(-0.0378261 + 1.26201i) q^{44} +(10.3428 + 2.36068i) q^{45} +(-6.32616 + 0.977584i) q^{46} +(4.14953 + 6.60395i) q^{47} +(-10.6108 + 5.81146i) q^{48} +(0.0336752 + 0.147541i) q^{49} +(2.65803 - 1.05462i) q^{50} +(-16.8102 - 13.4057i) q^{51} +(6.84912 - 6.45049i) q^{52} +(-0.00838779 + 0.0174174i) q^{53} +(13.4519 - 0.553427i) q^{54} +(0.121974 + 1.08255i) q^{55} +(-7.56330 + 0.0843650i) q^{56} +18.1279i q^{57} +(-6.58914 - 3.81880i) q^{58} +8.07541 q^{59} +(-8.35256 + 6.26094i) q^{60} +(2.62785 - 0.296088i) q^{61} +(10.6213 - 0.436970i) q^{62} +(14.8119 + 7.13303i) q^{63} +(1.60575 - 7.83719i) q^{64} +(5.06147 - 6.34689i) q^{65} +(0.995837 + 2.50987i) q^{66} +(-0.971742 + 0.221794i) q^{67} +(13.9500 - 2.74708i) q^{68} +(-11.5917 + 7.28353i) q^{69} +(-6.44975 + 0.996683i) q^{70} +(-1.61286 + 7.06639i) q^{71} +(-10.6890 + 13.7146i) q^{72} +(10.6093 + 3.71236i) q^{73} +(0.394130 - 0.341735i) q^{74} +(4.32445 - 4.32445i) q^{75} +(-9.14398 - 7.75143i) q^{76} +(-0.189018 + 1.67758i) q^{77} +(7.97776 - 18.4723i) q^{78} +(0.163807 - 0.260698i) q^{79} +(0.413416 - 6.89031i) q^{80} +(9.32536 - 4.49085i) q^{81} +(-0.108826 + 0.0580347i) q^{82} +(2.45499 + 3.07846i) q^{83} +(-14.7780 + 6.57882i) q^{84} +(11.5793 - 4.05177i) q^{85} +(-2.64976 - 1.94043i) q^{86} +(-16.1750 - 1.91055i) q^{87} +(-1.69183 - 0.570897i) q^{88} +(5.29774 - 1.85376i) q^{89} +(-7.45319 + 13.0209i) q^{90} +(9.83548 - 7.84353i) q^{91} +(1.28264 - 8.96141i) q^{92} +(20.4829 - 9.86405i) q^{93} +(-10.6435 + 2.89437i) q^{94} +(-8.75780 - 5.50289i) q^{95} +(-3.49274 - 16.7489i) q^{96} +(-0.0988673 + 0.877472i) q^{97} +(-0.213480 - 0.0152001i) q^{98} +(2.74423 + 2.74423i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9}+O(q^{10}) $ 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9	$ 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9} - 8 q^{10} - 32 q^{11} - 24 q^{12} - 14 q^{14} + 10 q^{16} - 28 q^{17} - 20 q^{18} - 24 q^{19} + 6 q^{20} - 14 q^{22} + 2 q^{24} - 52 q^{25} + 8 q^{26} - 60 q^{27} - 8 q^{30} - 4 q^{32} - 28 q^{33} - 14 q^{34} - 28 q^{35} - 38 q^{36} - 14 q^{38} - 20 q^{41} - 14 q^{42} - 16 q^{43} + 42 q^{44} - 56 q^{46} + 32 q^{48} + 12 q^{49} - 78 q^{50} - 28 q^{51} + 74 q^{52} - 124 q^{54} + 36 q^{56} - 158 q^{58} - 48 q^{59} + 200 q^{60} - 112 q^{62} + 112 q^{64} + 20 q^{65} - 136 q^{66} - 28 q^{67} + 60 q^{68} - 182 q^{70} + 48 q^{72} - 4 q^{73} - 16 q^{74} + 64 q^{75} - 10 q^{76} + 50 q^{78} - 14 q^{80} - 28 q^{81} + 10 q^{82} - 20 q^{83} - 36 q^{84} - 80 q^{88} - 28 q^{89} - 28 q^{90} - 28 q^{91} - 14 q^{92} - 106 q^{94} + 28 q^{96} - 32 q^{97} + 12 q^{98} - 32 q^{99}+O(q^{100}) $ 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9 - 8 * q^10 - 32 * q^11 - 24 * q^12 - 14 * q^14 + 10 * q^16 - 28 * q^17 - 20 * q^18 - 24 * q^19 + 6 * q^20 - 14 * q^22 + 2 * q^24 - 52 * q^25 + 8 * q^26 - 60 * q^27 - 8 * q^30 - 4 * q^32 - 28 * q^33 - 14 * q^34 - 28 * q^35 - 38 * q^36 - 14 * q^38 - 20 * q^41 - 14 * q^42 - 16 * q^43 + 42 * q^44 - 56 * q^46 + 32 * q^48 + 12 * q^49 - 78 * q^50 - 28 * q^51 + 74 * q^52 - 124 * q^54 + 36 * q^56 - 158 * q^58 - 48 * q^59 + 200 * q^60 - 112 * q^62 + 112 * q^64 + 20 * q^65 - 136 * q^66 - 28 * q^67 + 60 * q^68 - 182 * q^70 + 48 * q^72 - 4 * q^73 - 16 * q^74 + 64 * q^75 - 10 * q^76 + 50 * q^78 - 14 * q^80 - 28 * q^81 + 10 * q^82 - 20 * q^83 - 36 * q^84 - 80 * q^88 - 28 * q^89 - 28 * q^90 - 28 * q^91 - 14 * q^92 - 106 * q^94 + 28 * q^96 - 32 * q^97 + 12 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/232\mathbb{Z}\right)^\times$.

$n$	$89$	$117$	$175$
$\chi(n)$	$e\left(\frac{25}{28}\right)$	$-1$	$-1$

Coefficient data

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

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

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

$2$	−0.411819	+	1.35292i	−0.291200	+	0.956662i
$2$	−0.411819	+	1.35292i	−0.291200	+	0.956662i
$3$	0.338637	+	3.00549i	0.195512	+	1.73522i	0.582234	+	0.813021i	$0.302179\pi$
$3$	0.338637	+	3.00549i	0.195512	+	1.73522i	−0.386722	+	0.922197i	$0.626393\pi$
$4$	−1.66081	−	1.11432i	−0.830405	−	0.557161i
$5$	−1.55478	−	0.748742i	−0.695318	−	0.334848i	0.0526212	−	0.998615i	$-0.483242\pi$
$5$	−1.55478	−	0.748742i	−0.695318	−	0.334848i	−0.747940	+	0.663767i	$0.768957\pi$
$6$	−4.20565	−	0.779567i	−1.71695	−	0.318257i
$7$	−2.09077	−	1.66734i	−0.790238	−	0.630193i	0.142890	−	0.989739i	$-0.454360\pi$
$7$	−2.09077	−	1.66734i	−0.790238	−	0.630193i	−0.933128	+	0.359545i	$0.882932\pi$
$8$	2.19155	−	1.78805i	0.774829	−	0.632171i
$9$	−5.99349	+	1.36797i	−1.99783	+	0.455991i
$10$	1.65328	−	1.79515i	0.522813	−	0.567677i
$11$	−0.335866	−	0.534528i	−0.101268	−	0.161166i	0.792247	−	0.610200i	$-0.208911\pi$
$11$	−0.335866	−	0.534528i	−0.101268	−	0.161166i	−0.893515	+	0.449034i	$0.851768\pi$
$12$	2.78667	−	5.36889i	0.804441	−	1.54986i
$13$	−1.04679	+	4.58629i	−0.290327	+	1.27201i	0.593743	+	0.804654i	$0.297649\pi$
$13$	−1.04679	+	4.58629i	−0.290327	+	1.27201i	−0.884071	+	0.467353i	$0.845208\pi$
$14$	3.11680	−	2.14202i	0.833000	−	0.572478i
$15$	1.72383	−	4.92642i	0.445090	−	1.27200i
$16$	1.51658	+	3.70135i	0.379144	+	0.925338i
$17$	−5.02678	+	5.02678i	−1.21917	+	1.21917i	−0.251252	+	0.967922i	$0.580842\pi$
$17$	−5.02678	+	5.02678i	−1.21917	+	1.21917i	−0.967922	+	0.251252i	$0.919158\pi$
$18$	0.617468	−	8.67209i	0.145539	−	2.04403i
$19$	5.95600	+	0.671080i	1.36640	+	0.153956i	0.764504	−	0.644618i	$-0.222984\pi$
$19$	5.95600	+	0.671080i	1.36640	+	0.153956i	0.601896	+	0.798575i	$0.294412\pi$
$20$	1.74785	+	2.97604i	0.390832	+	0.665463i
$21$	4.30314	−	6.84841i	0.939022	−	1.49444i
$22$	0.861493	−	0.234273i	0.183671	−	0.0499471i
$23$	1.96392	+	4.07812i	0.409505	+	0.850346i	0.999090	+	0.0426401i	$0.0135769\pi$
$23$	1.96392	+	4.07812i	0.409505	+	0.850346i	−0.589585	+	0.807706i	$0.700709\pi$
$24$	6.11610	+	5.98116i	1.24844	+	1.22090i
$25$	−1.26073	−	1.58090i	−0.252145	−	0.316180i
$26$	−5.77381	−	3.30495i	−1.13234	−	0.648154i
$27$	−3.14425	−	8.98575i	−0.605111	−	1.72931i
$28$	1.61443	+	5.09892i	0.305098	+	0.963605i
$29$	−1.22650	+	5.24363i	−0.227756	+	0.973718i
$29$	−1.22650	+	5.24363i	−0.227756	+	0.973718i
$30$	5.95517	+	4.36100i	1.08726	+	0.796207i
$31$	−2.48261	−	7.09490i	−0.445891	−	1.27428i	−0.919341	−	0.393461i	$-0.871277\pi$
$31$	−2.48261	−	7.09490i	−0.445891	−	1.27428i	0.473451	−	0.880820i	$-0.343008\pi$
$32$	−5.63220	+	0.527526i	−0.995642	+	0.0932542i
$33$	1.49278	−	1.19045i	0.259860	−	0.207231i
$34$	−4.73073	−	8.87099i	−0.811314	−	1.52136i
$35$	2.00228	+	4.15779i	0.338448	+	0.702794i
$36$	11.4784	+	4.40672i	1.91307	+	0.734454i
$37$	−0.312326	−	0.196248i	−0.0513461	−	0.0322629i	0.506114	−	0.862466i	$-0.331081\pi$
$37$	−0.312326	−	0.196248i	−0.0513461	−	0.0322629i	−0.557461	+	0.830203i	$0.688224\pi$
$38$	−3.36072	+	7.78166i	−0.545180	+	1.26235i
$39$	−14.1385	−	1.59303i	−2.26397	−	0.255088i
$40$	−4.74616	+	1.13912i	−0.750434	+	0.180111i
$41$	0.0616666	+	0.0616666i	0.00963070	+	0.00963070i	0.711906	−	0.702275i	$-0.247832\pi$
$41$	0.0616666	+	0.0616666i	0.00963070	+	0.00963070i	−0.702275	+	0.711906i	$0.747832\pi$
$42$	7.49326	+	8.64213i	1.15624	+	1.33351i
$43$	−0.767020	+	2.19202i	−0.116969	+	0.334279i	−0.987452	−	0.157920i	$-0.949521\pi$
$43$	−0.767020	+	2.19202i	−0.116969	+	0.334279i	0.870482	+	0.492199i	$0.163807\pi$
$44$	−0.0378261	+	1.26201i	−0.00570250	+	0.190256i
$45$	10.3428	+	2.36068i	1.54181	+	0.351909i
$46$	−6.32616	+	0.977584i	−0.932742	+	0.144137i
$47$	4.14953	+	6.60395i	0.605272	+	0.963285i	0.999028	+	0.0440698i	$0.0140324\pi$
$47$	4.14953	+	6.60395i	0.605272	+	0.963285i	−0.393757	+	0.919215i	$0.628825\pi$
$48$	−10.6108	+	5.81146i	−1.53154	+	0.838812i
$49$	0.0336752	+	0.147541i	0.00481074	+	0.0210772i
$50$	2.65803	−	1.05462i	0.375902	−	0.149146i
$51$	−16.8102	−	13.4057i	−2.35390	−	1.87717i
$52$	6.84912	−	6.45049i	0.949802	−	0.894522i
$53$	−0.00838779	+	0.0174174i	−0.00115215	+	0.00239247i	−0.901544	−	0.432687i	$-0.857565\pi$
$53$	−0.00838779	+	0.0174174i	−0.00115215	+	0.00239247i	0.900392	+	0.435080i	$0.143280\pi$
$54$	13.4519	−	0.553427i	1.83057	−	0.0753118i
$55$	0.121974	+	1.08255i	0.0164470	+	0.145971i
$56$	−7.56330	+	0.0843650i	−1.01069	+	0.0112738i
$57$			18.1279i			2.40110i
$58$	−6.58914	−	3.81880i	−0.865197	−	0.501433i
$59$	8.07541			1.05133			0.525665	−	0.850692i	$-0.323817\pi$
$59$	8.07541			1.05133			0.525665	+	0.850692i	$0.323817\pi$
$60$	−8.35256	+	6.26094i	−1.07831	+	0.808284i
$61$	2.62785	−	0.296088i	0.336462	−	0.0379101i	0.0578826	−	0.998323i	$-0.481565\pi$
$61$	2.62785	−	0.296088i	0.336462	−	0.0379101i	0.278579	+	0.960413i	$0.410137\pi$
$62$	10.6213	−	0.436970i	1.34890	−	0.0554953i
$63$	14.8119	+	7.13303i	1.86612	+	0.898677i
$64$	1.60575	−	7.83719i	0.200719	−	0.979649i
$65$	5.06147	−	6.34689i	0.627799	−	0.787235i
$66$	0.995837	+	2.50987i	0.122579	+	0.308944i
$67$	−0.971742	+	0.221794i	−0.118717	+	0.0270964i	−0.281467	−	0.959571i	$-0.590821\pi$
$67$	−0.971742	+	0.221794i	−0.118717	+	0.0270964i	0.162750	+	0.986667i	$0.447964\pi$
$68$	13.9500	−	2.74708i	1.69168	−	0.333132i
$69$	−11.5917	+	7.28353i	−1.39547	+	0.876834i
$70$	−6.44975	+	0.996683i	−0.770893	+	0.119126i
$71$	−1.61286	+	7.06639i	−0.191411	+	0.838626i	0.784443	+	0.620201i	$0.212949\pi$
$71$	−1.61286	+	7.06639i	−0.191411	+	0.838626i	−0.975854	+	0.218425i	$0.929908\pi$
$72$	−10.6890	+	13.7146i	−1.25971	+	1.61629i
$73$	10.6093	+	3.71236i	1.24173	+	0.434499i	0.869634	−	0.493697i	$-0.164355\pi$
$73$	10.6093	+	3.71236i	1.24173	+	0.434499i	0.372092	+	0.928196i	$0.378641\pi$
$74$	0.394130	−	0.341735i	0.0458167	−	0.0397259i
$75$	4.32445	−	4.32445i	0.499344	−	0.499344i
$76$	−9.14398	−	7.75143i	−1.04889	−	0.889150i
$77$	−0.189018	+	1.67758i	−0.0215406	+	0.191178i
$78$	7.97776	−	18.4723i	0.903303	−	2.09158i
$79$	0.163807	−	0.260698i	0.0184298	−	0.0293308i	−0.837382	−	0.546618i	$-0.815915\pi$
$79$	0.163807	−	0.260698i	0.0184298	−	0.0293308i	0.855812	+	0.517287i	$0.173058\pi$
$80$	0.413416	−	6.89031i	0.0462213	−	0.770360i
$81$	9.32536	−	4.49085i	1.03615	−	0.498984i
$82$	−0.108826	+	0.0580347i	−0.0120178	+	0.00640886i
$83$	2.45499	+	3.07846i	0.269471	+	0.337905i	0.898093	−	0.439805i	$-0.144952\pi$
$83$	2.45499	+	3.07846i	0.269471	+	0.337905i	−0.628623	+	0.777710i	$0.716381\pi$
$84$	−14.7780	+	6.57882i	−1.61241	+	0.717808i
$85$	11.5793	−	4.05177i	1.25595	−	0.439476i
$86$	−2.64976	−	1.94043i	−0.285731	−	0.209242i
$87$	−16.1750	−	1.91055i	−1.73414	−	0.204833i
$88$	−1.69183	−	0.570897i	−0.180350	−	0.0608579i
$89$	5.29774	−	1.85376i	0.561559	−	0.196498i	−0.0345479	−	0.999403i	$-0.510999\pi$
$89$	5.29774	−	1.85376i	0.561559	−	0.196498i	0.596107	+	0.802905i	$0.296713\pi$
$90$	−7.45319	+	13.0209i	−0.785635	+	1.37252i
$91$	9.83548	−	7.84353i	1.03104	−	0.822226i
$92$	1.28264	−	8.96141i	0.133724	−	0.934292i
$93$	20.4829	−	9.86405i	2.12398	−	1.02285i
$94$	−10.6435	+	2.89437i	−1.09779	+	0.298532i
$95$	−8.75780	−	5.50289i	−0.898531	−	0.564585i
$96$	−3.49274	−	16.7489i	−0.356477	−	1.70942i
$97$	−0.0988673	+	0.877472i	−0.0100385	+	0.0890938i	−0.997732	−	0.0673050i	$-0.978560\pi$
$97$	−0.0988673	+	0.877472i	−0.0100385	+	0.0890938i	0.987694	+	0.156399i	$0.0499885\pi$
$98$	−0.213480	−	0.0152001i	−0.0215647	−	0.00153544i
$99$	2.74423	+	2.74423i	0.275806	+	0.275806i
$100$	0.332195	+	4.03043i	0.0332195	+	0.403043i
$101$	−7.92675	−	2.77369i	−0.788741	−	0.275992i	−0.0943015	−	0.995544i	$-0.530062\pi$
$101$	−7.92675	−	2.77369i	−0.788741	−	0.275992i	−0.694439	+	0.719551i	$0.744347\pi$
$102$	25.0596	−	17.2222i	2.48127	−	1.70525i
$103$	−12.0438	−	2.74893i	−1.18672	−	0.270860i	−0.416796	−	0.909000i	$-0.636847\pi$
$103$	−12.0438	−	2.74893i	−1.18672	−	0.270860i	−0.769920	+	0.638140i	$0.779704\pi$
$104$	5.90643	+	11.9228i	0.579173	+	1.16912i
$105$	−11.8181	+	7.42582i	−1.15333	+	0.724686i
$106$	−0.0201102	−	0.0185209i	−0.00195328	−	0.00179891i
$107$	2.06036	+	9.02701i	0.199182	+	0.872674i	0.971425	+	0.237347i	$0.0762778\pi$
$107$	2.06036	+	9.02701i	0.199182	+	0.872674i	−0.772243	+	0.635328i	$0.780865\pi$
$108$	−4.79101	+	18.4273i	−0.461016	+	1.77317i
$109$	−12.8081	+	16.0609i	−1.22679	+	1.53835i	−0.473291	+	0.880906i	$0.656934\pi$
$109$	−12.8081	+	16.0609i	−1.22679	+	1.53835i	−0.753503	+	0.657444i	$0.771638\pi$
$110$	−1.51484	−	0.280794i	−0.144434	−	0.0267726i
$111$	0.484054	−	1.00515i	0.0459444	−	0.0954045i
$112$	3.00058	−	10.2673i	0.283528	−	0.970171i
$113$	−12.7605	+	1.43776i	−1.20041	+	0.135253i	−0.689438	−	0.724345i	$-0.742142\pi$
$113$	−12.7605	+	1.43776i	−1.20041	+	0.135253i	−0.510970	+	0.859598i	$0.670714\pi$
$114$	−24.5257	−	7.46543i	−2.29704	−	0.699202i
$115$		−	7.81104i		−	0.728383i
$116$	7.88008	−	7.34196i	0.731647	−	0.681683i
$117$		−	28.9198i		−	2.67364i
$118$	−3.32561	+	10.9254i	−0.306147	+	1.00577i
$119$	18.8912	−	2.12853i	1.73175	−	0.195122i
$120$	−5.03084	−	13.8788i	−0.459250	−	1.26695i
$121$	4.59981	−	9.55160i	0.418164	−	0.868327i
$122$	−0.681616	+	3.67722i	−0.0617106	+	0.332920i
$123$	−0.164455	+	0.206221i	−0.0148284	+	0.0185943i
$124$	−3.78285	+	14.5497i	−0.339710	+	1.30660i
$125$	2.69646	+	11.8140i	0.241178	+	1.05667i
$126$	−15.7503	+	17.1018i	−1.40315	+	1.52355i
$127$	15.9538	−	10.0245i	1.41567	−	0.889527i	0.415873	−	0.909423i	$-0.363476\pi$
$127$	15.9538	−	10.0245i	1.41567	−	0.889527i	0.999802	+	0.0198956i	$0.00633338\pi$
$128$	9.94185	+	5.39996i	0.878744	+	0.477294i
$129$	−6.84782	−	1.56297i	−0.602917	−	0.137612i
$130$	6.50245	+	9.46156i	0.570302	+	0.829834i
$131$	0.910669	+	0.318657i	0.0795655	+	0.0278412i	0.369768	−	0.929124i	$-0.379437\pi$
$131$	0.910669	+	0.318657i	0.0795655	+	0.0278412i	−0.290203	+	0.956965i	$0.593723\pi$
$132$	−3.80577	+	0.313678i	−0.331250	+	0.0273022i
$133$	−11.3337	−	11.3337i	−0.982759	−	0.982759i
$134$	0.100112	−	1.40603i	0.00864836	−	0.121463i
$135$	−1.83940	+	16.3251i	−0.158310	+	1.40504i
$136$	−2.02828	+	20.0046i	−0.173924	+	1.71538i
$137$	−11.4832	−	7.21537i	−0.981076	−	0.616451i	−0.0568847	−	0.998381i	$-0.518117\pi$
$137$	−11.4832	−	7.21537i	−0.981076	−	0.616451i	−0.924191	+	0.381930i	$0.875260\pi$
$138$	−5.08039	−	18.6821i	−0.432471	−	1.59033i
$139$	4.02285	−	1.93730i	0.341214	−	0.164320i	−0.255427	−	0.966828i	$-0.582216\pi$
$139$	4.02285	−	1.93730i	0.341214	−	0.164320i	0.596641	+	0.802508i	$0.296502\pi$
$140$	1.30770	−	9.13648i	0.110521	−	0.772174i
$141$	−18.4429	+	14.7077i	−1.55317	+	1.23861i
$142$	−8.89608	−	5.09215i	−0.746543	−	0.427324i
$143$	2.80308	−	0.980841i	0.234406	−	0.0820221i
$144$	−14.1529	−	20.1094i	−1.17941	−	1.67578i
$145$	5.83307	−	7.23435i	0.484410	−	0.600780i
$146$	−9.39166	+	12.8248i	−0.777259	+	1.06139i
$147$	−0.432028	+	0.151173i	−0.0356331	+	0.0124685i
$148$	0.300032	+	0.673961i	0.0246624	+	0.0553993i
$149$	−6.75227	−	8.46708i	−0.553168	−	0.693650i	0.424111	−	0.905610i	$-0.360587\pi$
$149$	−6.75227	−	8.46708i	−0.553168	−	0.693650i	−0.977278	+	0.211960i	$0.932015\pi$
$150$	4.06976	+	7.63154i	0.332294	+	0.623113i
$151$	12.6986	−	6.11533i	1.03340	−	0.497659i	0.161258	−	0.986912i	$-0.448445\pi$
$151$	12.6986	−	6.11533i	1.03340	−	0.497659i	0.872142	+	0.489254i	$0.162731\pi$
$152$	14.2528	−	9.17893i	1.15605	−	0.744509i
$153$	23.2514	−	37.0045i	1.87977	−	2.99163i
$154$	−2.19180	−	0.946586i	−0.176620	−	0.0762781i
$155$	−1.45234	+	12.8898i	−0.116654	+	1.03534i
$156$	21.7062	+	18.4006i	1.73789	+	1.47322i
$157$	4.41306	−	4.41306i	0.352201	−	0.352201i	−0.508727	−	0.860928i	$-0.669884\pi$
$157$	4.41306	−	4.41306i	0.352201	−	0.352201i	0.860928	+	0.508727i	$0.169884\pi$
$158$	0.285246	+	0.328980i	0.0226929	+	0.0261722i
$159$	−0.0551883	−	0.0193112i	−0.00437671	−	0.00153148i
$160$	9.15181	+	3.39688i	0.723514	+	0.268547i
$161$	2.69348	−	11.8009i	0.212276	−	0.930043i
$162$	2.23542	+	14.4659i	0.175632	+	1.13655i
$163$	1.38659	−	0.871253i	0.108606	−	0.0682418i	−0.476634	−	0.879102i	$-0.658143\pi$
$163$	1.38659	−	0.871253i	0.108606	−	0.0682418i	0.585240	+	0.810860i	$0.301000\pi$
$164$	−0.0337001	−	0.171133i	−0.00263153	−	0.0133632i
$165$	−3.21229	+	0.733183i	−0.250076	+	0.0570783i
$166$	−5.17594	+	2.05365i	−0.401731	+	0.159394i
$167$	10.3443	−	12.9713i	0.800466	−	1.00375i	−0.199250	−	0.979949i	$-0.563851\pi$
$167$	10.3443	−	12.9713i	0.800466	−	1.00375i	0.999717	−	0.0238045i	$-0.00757793\pi$
$168$	−2.81477	−	22.7028i	−0.217164	−	1.75156i
$169$	−8.22567	−	3.96128i	−0.632744	−	0.304714i
$170$	0.713162	+	17.3345i	0.0546970	+	1.32950i
$171$	−36.6152	+	4.12554i	−2.80004	+	0.315488i
$172$	3.71648	−	2.78582i	0.283379	−	0.212416i
$173$	13.3942			1.01835			0.509173	−	0.860664i	$-0.329951\pi$
$173$	13.3942			1.01835			0.509173	+	0.860664i	$0.329951\pi$
$174$	9.24602	−	21.0968i	0.700939	−	1.59934i
$175$			5.40736i			0.408758i
$176$	1.46911	−	2.05381i	0.110738	−	0.154812i
$177$	2.73463	+	24.2705i	0.205548	+	1.82429i
$178$	0.326284	+	7.93085i	0.0244560	+	0.594442i
$179$	−9.61997	+	19.9761i	−0.719030	+	1.49308i	0.144887	+	0.989448i	$0.453718\pi$
$179$	−9.61997	+	19.9761i	−0.719030	+	1.49308i	−0.863917	+	0.503634i	$0.831996\pi$
$180$	−14.5469	−	15.4458i	−1.08426	−	1.15127i
$181$	10.2380	+	8.16453i	0.760984	+	0.606865i	0.925165	−	0.379565i	$-0.123927\pi$
$181$	10.2380	+	8.16453i	0.760984	+	0.606865i	−0.164180	+	0.986430i	$0.552498\pi$
$182$	6.56127	+	16.5368i	0.486353	+	1.22579i
$183$	1.77977	+	7.79770i	0.131565	+	0.576423i
$184$	11.5959	+	5.42580i	0.854861	+	0.399995i
$185$	0.338659	+	0.538973i	0.0248987	+	0.0396261i
$186$	4.91006	+	31.7741i	0.360023	+	2.32979i
$187$	4.37529	+	0.998631i	0.319953	+	0.0730271i
$188$	0.467331	−	15.5918i	0.0340836	−	1.13715i
$189$	−8.40835	+	24.0297i	−0.611618	+	1.74790i
$190$	11.0516	−	9.58244i	0.801769	−	0.695183i
$191$	10.5631	+	10.5631i	0.764316	+	0.764316i	0.977099	−	0.212783i	$-0.0682528\pi$
$191$	10.5631	+	10.5631i	0.764316	+	0.764316i	−0.212783	+	0.977099i	$0.568253\pi$
$192$	24.0983	+	2.17209i	1.73915	+	0.156757i
$193$	−21.2868	−	2.39845i	−1.53226	−	0.172644i	−0.694823	−	0.719181i	$-0.744517\pi$
$193$	−21.2868	−	2.39845i	−1.53226	−	0.172644i	−0.837435	+	0.546537i	$0.815946\pi$
$194$	−1.14644	−	0.495120i	−0.0823094	−	0.0355475i
$195$	20.7895	+	13.0629i	1.48877	+	0.935454i
$196$	0.108480	−	0.282562i	0.00774855	−	0.0201830i
$197$	8.32691	+	17.2910i	0.593268	+	1.23193i	0.954152	+	0.299322i	$0.0967606\pi$
$197$	8.32691	+	17.2910i	0.593268	+	1.23193i	−0.360884	+	0.932611i	$0.617525\pi$
$198$	−4.84287	+	2.58261i	−0.344168	+	0.183538i
$199$	−2.09025	+	1.66692i	−0.148174	+	0.118165i	−0.694771	−	0.719231i	$-0.744494\pi$
$199$	−2.09025	+	1.66692i	−0.148174	+	0.118165i	0.546597	+	0.837396i	$0.315923\pi$
$200$	−5.58967	−	1.21037i	−0.395249	−	0.0855864i
$201$	−0.995666	−	2.84545i	−0.0702289	−	0.200703i
$202$	7.01698	−	9.58203i	0.493713	−	0.674189i
$203$	11.3072	−	8.91825i	0.793612	−	0.625938i
$204$	12.9803	+	40.9962i	0.908802	+	2.87031i
$205$	−0.0497055	−	0.142050i	−0.00347159	−	0.00992122i
$206$	8.67899	−	15.1624i	0.604694	−	1.05641i
$207$	−17.3495	−	21.7555i	−1.20587	−	1.51211i
$208$	−18.5630	+	3.08092i	−1.28711	+	0.213623i
$209$	−1.64171	−	3.40904i	−0.113559	−	0.235809i
$210$	−5.17964	−	19.0471i	−0.357429	−	1.31438i
$211$	−0.340613	+	0.542082i	−0.0234488	+	0.0373185i	−0.858243	−	0.513244i	$-0.828444\pi$
$211$	−0.340613	+	0.542082i	−0.0234488	+	0.0373185i	0.834794	+	0.550562i	$0.185587\pi$
$212$	0.0333391	−	0.0195803i	0.00228974	−	0.00134478i
$213$	−21.7841	−	2.45448i	−1.49262	−	0.168178i
$214$	−13.0614	−	0.929992i	−0.892857	−	0.0635730i
$215$	2.83380	−	2.83380i	0.193264	−	0.193264i
$216$	−22.9578	−	14.0706i	−1.56208	−	0.957384i
$217$	−6.63900	+	18.9732i	−0.450685	+	1.28798i
$218$	−16.4545	−	23.9426i	−1.11444	−	1.62160i
$219$	−7.56473	+	33.1433i	−0.511177	+	2.23961i
$220$	1.00373	−	1.93383i	0.0676717	−	0.130379i
$221$	−17.7923	−	28.3163i	−1.19684	−	1.90476i
$222$	1.16055	+	1.06883i	0.0778908	+	0.0717351i
$223$	−3.28939	+	0.750781i	−0.220274	+	0.0502760i	−0.331233	−	0.943549i	$-0.607465\pi$
$223$	−3.28939	+	0.750781i	−0.220274	+	0.0502760i	0.110960	+	0.993825i	$0.464608\pi$
$224$	12.6552	+	8.28784i	0.845562	+	0.553754i
$225$	9.71877	+	7.75046i	0.647918	+	0.516698i
$226$	3.30984	−	17.8561i	0.220167	−	1.18777i
$227$	−14.7980	−	7.12634i	−0.982178	−	0.472992i	−0.127324	−	0.991861i	$-0.540639\pi$
$227$	−14.7980	−	7.12634i	−0.982178	−	0.472992i	−0.854854	+	0.518869i	$0.826353\pi$
$228$	20.2003	−	30.1070i	1.33780	−	1.99389i
$229$	2.24155	+	19.8943i	0.148126	+	1.31465i	0.819306	+	0.573357i	$0.194359\pi$
$229$	2.24155	+	19.8943i	0.148126	+	1.31465i	−0.671180	+	0.741294i	$0.734212\pi$
$230$	10.5677	+	3.21674i	0.696816	+	0.212105i
$231$	−5.10595			−0.335947
$232$	6.68794	+	13.6847i	0.439085	+	0.898446i
$233$	22.6023			1.48073			0.740363	−	0.672207i	$-0.234654\pi$
$233$	22.6023			1.48073			0.740363	+	0.672207i	$0.234654\pi$
$234$	39.1264	+	11.9097i	2.55777	+	0.778565i
$235$	−1.50696	−	13.3746i	−0.0983030	−	0.872463i
$236$	−13.4117	−	8.99860i	−0.873029	−	0.585759i
$237$	0.838996	+	0.404039i	0.0544986	+	0.0262452i
$238$	−4.90002	+	26.4349i	−0.317621	+	1.71352i
$239$	−21.9938	−	17.5395i	−1.42266	−	1.13453i	−0.970073	−	0.242814i	$-0.921929\pi$
$239$	−21.9938	−	17.5395i	−1.42266	−	1.13453i	−0.452588	−	0.891720i	$-0.649499\pi$
$240$	20.8487	−	1.09080i	1.34578	−	0.0704107i
$241$	1.61124	−	0.367755i	0.103789	−	0.0236892i	−0.170311	−	0.985390i	$-0.554477\pi$
$241$	1.61124	−	0.367755i	0.103789	−	0.0236892i	0.274100	+	0.961701i	$0.411620\pi$
$242$	11.0283	+	10.1567i	0.708926	+	0.652899i
$243$	1.46030	+	2.32405i	0.0936782	+	0.149088i
$244$	−4.69430	−	2.43652i	−0.300521	−	0.155982i
$245$	0.0581124	−	0.254607i	0.00371267	−	0.0162663i
$246$	−0.211275	−	0.307421i	−0.0134704	−	0.0196005i
$247$	−9.31245	+	26.6135i	−0.592537	+	1.69337i
$248$	−18.1268	−	11.1098i	−1.15105	−	0.705471i
$249$	−8.42093	+	8.42093i	−0.533655	+	0.533655i
$250$	−17.0938	−	1.21711i	−1.08111	−	0.0769769i
$251$	0.443497	+	0.0499701i	0.0279933	+	0.00315409i	0.125950	−	0.992037i	$-0.459802\pi$
$251$	0.443497	+	0.0499701i	0.0279933	+	0.00315409i	−0.0979567	+	0.995191i	$0.531231\pi$
$252$	−16.6512	−	28.3518i	−1.04893	−	1.78600i
$253$	1.52026	−	2.41947i	0.0955776	−	0.152111i
$254$	6.99224	+	25.7126i	0.438732	+	1.61335i
$255$	16.0987	+	33.4293i	1.00814	+	2.09343i
$256$	−11.4000	+	11.2268i	−0.712499	+	0.701673i
$257$	9.75014	+	12.2263i	0.608197	+	0.762655i	0.986630	−	0.162973i	$-0.0521085\pi$
$257$	9.75014	+	12.2263i	0.608197	+	0.762655i	−0.378433	+	0.925629i	$0.623537\pi$
$258$	4.93464	−	8.62092i	0.307217	−	0.536715i
$259$	0.325792	+	0.931061i	0.0202438	+	0.0578533i
$260$	−15.4786	+	4.90086i	−0.959943	+	0.303939i
$261$	0.177885	−	33.1055i	0.0110108	−	2.04918i
$262$	−0.806150	+	1.10084i	−0.0498041	+	0.0680099i
$263$	−1.14691	−	3.27768i	−0.0707214	−	0.202110i	0.903097	−	0.429436i	$-0.141288\pi$
$263$	−1.14691	−	3.27768i	−0.0707214	−	0.202110i	−0.973819	+	0.227326i	$0.927002\pi$
$264$	1.14291	−	5.27810i	0.0703411	−	0.324845i
$265$	0.0260823	−	0.0208000i	0.00160222	−	0.00127773i
$266$	20.0011	−	10.6662i	1.22635	−	0.653988i
$267$	7.36545	+	15.2945i	0.450758	+	0.936010i
$268$	1.86103	+	0.714476i	0.113680	+	0.0436435i
$269$	−5.55675	−	3.49154i	−0.338801	−	0.212883i	0.351875	−	0.936047i	$-0.385544\pi$
$269$	−5.55675	−	3.49154i	−0.338801	−	0.212883i	−0.690676	+	0.723164i	$0.742687\pi$
$270$	−21.3291	−	9.21156i	−1.29805	−	0.560597i
$271$	17.7035	+	1.99470i	1.07541	+	0.121170i	0.631862	−	0.775081i	$-0.282291\pi$
$271$	17.7035	+	1.99470i	1.07541	+	0.121170i	0.443548	+	0.896251i	$0.353720\pi$
$272$	−26.2294	−	10.9824i	−1.59039	−	0.665905i
$273$	26.9043	+	26.9043i	1.62832	+	1.62832i
$274$	14.4909	−	12.5645i	0.875425	−	0.759048i
$275$	−0.421601	+	1.20487i	−0.0254235	+	0.0726561i
$276$	27.3677	+	0.820289i	1.64734	+	0.0493756i
$277$	15.1801	+	3.46476i	0.912083	+	0.208177i	0.652717	−	0.757602i	$-0.273629\pi$
$277$	15.1801	+	3.46476i	0.912083	+	0.208177i	0.259366	+	0.965779i	$0.416486\pi$
$278$	0.964337	+	6.24044i	0.0578371	+	0.374276i
$279$	24.5851	+	39.1270i	1.47187	+	2.34247i
$280$	11.8224	+	5.53179i	0.706526	+	0.330588i
$281$	−3.98271	−	17.4494i	−0.237588	−	1.04094i	−0.943169	−	0.332313i	$-0.892171\pi$
$281$	−3.98271	−	17.4494i	−0.237588	−	1.04094i	0.705581	−	0.708630i	$-0.250686\pi$
$282$	−12.3033	−	31.0087i	−0.732650	−	1.84654i
$283$	−11.4907	−	9.16350i	−0.683049	−	0.544713i	0.219333	−	0.975650i	$-0.429612\pi$
$283$	−11.4907	−	9.16350i	−0.683049	−	0.544713i	−0.902382	+	0.430937i	$0.858183\pi$
$284$	10.5529	−	9.93868i	0.626198	−	0.589752i
$285$	13.5731	−	28.1849i	0.804004	−	1.66953i
$286$	0.172640	+	4.19629i	0.0102084	+	0.248132i
$287$	−0.0261119	−	0.231750i	−0.00154134	−	0.0136797i
$288$	33.0349	−	10.8664i	1.94660	−	0.640310i
$289$		−	33.5371i		−	1.97277i
$290$	7.38536	+	10.8710i	0.433683	+	0.638364i
$291$	−2.67071			−0.156560
$292$	−13.4833	−	17.9877i	−0.789049	−	1.05265i
$293$	−3.96082	+	0.446278i	−0.231394	+	0.0260718i	−0.226900	−	0.973918i	$-0.572859\pi$
$293$	−3.96082	+	0.446278i	−0.231394	+	0.0260718i	−0.00449390	+	0.999990i	$0.501430\pi$
$294$	−0.0266083	−	0.646757i	−0.00155183	−	0.0377196i
$295$	−12.5555	−	6.04640i	−0.731008	−	0.352035i
$296$	−1.03538	+	0.128370i	−0.0601801	+	0.00746133i
$297$	−3.74709	+	4.69871i	−0.217428	+	0.272647i
$298$	14.2360	−	5.64841i	0.824672	−	0.327203i
$299$	−20.7592	+	4.73816i	−1.20054	+	0.274015i
$300$	−12.0009	+	2.36326i	−0.692872	+	0.136443i
$301$	5.25849	−	3.30413i	0.303094	−	0.190447i
$302$	3.04405	+	19.6987i	0.175165	+	1.13353i
$303$	5.65199	−	24.7630i	0.324698	−	1.42260i
$304$	6.54883	+	23.0630i	0.375601	+	1.32275i
$305$	−4.30742	−	1.50723i	−0.246642	−	0.0863038i
$306$	40.4888	+	46.6966i	2.31459	+	2.66947i
$307$	16.0344	−	16.0344i	0.915133	−	0.915133i	−0.0815375	−	0.996670i	$-0.525983\pi$
$307$	16.0344	−	16.0344i	0.915133	−	0.915133i	0.996670	+	0.0815375i	$0.0259830\pi$
$308$	2.18328	−	2.57551i	0.124404	−	0.146753i
$309$	4.18338	−	37.1285i	0.237984	−	2.11217i
$310$	−16.8409	−	7.27319i	−0.956498	−	0.413089i
$311$	2.99909	−	4.77303i	0.170063	−	0.270654i	−0.750808	−	0.660520i	$-0.770336\pi$
$311$	2.99909	−	4.77303i	0.170063	−	0.270654i	0.920872	+	0.389866i	$0.127479\pi$
$312$	−33.8336	+	21.7892i	−1.91545	+	1.23357i
$313$	−27.7999	+	13.3877i	−1.57135	+	0.756720i	−0.998037	−	0.0626197i	$-0.980054\pi$
$313$	−27.7999	+	13.3877i	−1.57135	+	0.756720i	−0.573308	+	0.819340i	$0.694340\pi$
$314$	4.15316	+	7.78793i	0.234376	+	0.439498i
$315$	−17.6884	−	22.1806i	−0.996629	−	1.24973i
$316$	−0.562554	+	0.250436i	−0.0316462	+	0.0140881i
$317$	−15.8024	+	5.52949i	−0.887549	+	0.310567i	−0.735273	−	0.677771i	$-0.762946\pi$
$317$	−15.8024	+	5.52949i	−0.887549	+	0.310567i	−0.152276	+	0.988338i	$0.548660\pi$
$318$	0.0488542	−	0.0667128i	0.00273961	−	0.00374107i
$319$	3.21481	−	1.10556i	0.179995	−	0.0618994i
$320$	−8.36462	+	10.9828i	−0.467596	+	0.613958i
$321$	−26.4329	+	9.24925i	−1.47534	+	0.516243i
$322$	14.8565	+	8.50393i	0.827922	+	0.473905i
$323$	−33.3129	+	26.5661i	−1.85358	+	1.47818i
$324$	−20.4919	−	2.93299i	−1.13844	−	0.162944i
$325$	8.57018	−	4.12718i	0.475388	−	0.228935i
$326$	0.607714	+	2.23475i	0.0336582	+	0.123771i
$327$	−52.6080	−	33.0558i	−2.90923	−	1.82799i
$328$	0.245408	+	0.0248822i	0.0135504	+	0.00137389i
$329$	2.33526	−	20.7260i	0.128747	−	1.14266i
$330$	0.330940	−	4.64792i	0.0182177	−	0.255860i
$331$	0.710324	+	0.710324i	0.0390429	+	0.0390429i	0.726359	−	0.687316i	$-0.241211\pi$
$331$	0.710324	+	0.710324i	0.0390429	+	0.0390429i	−0.687316	+	0.726359i	$0.741211\pi$
$332$	−0.646878	−	7.84839i	−0.0355021	−	0.430737i
$333$	2.14038	+	0.748953i	0.117292	+	0.0410424i
$334$	13.2893	+	19.3369i	0.727157	+	1.05807i
$335$	1.67691	+	0.382744i	0.0916194	+	0.0209115i
$336$	31.8744	+	5.54129i	1.73889	+	0.302302i
$337$	11.6524	−	7.32166i	0.634744	−	0.398836i	−0.175873	−	0.984413i	$-0.556275\pi$
$337$	11.6524	−	7.32166i	0.634744	−	0.398836i	0.810617	+	0.585577i	$0.199132\pi$
$338$	8.74680	−	9.49739i	0.475763	−	0.516590i
$339$	−8.64236	−	37.8647i	−0.469389	−	2.05653i
$340$	−23.7460	−	6.17384i	−1.28781	−	0.334823i
$341$	−2.95860	+	3.70997i	−0.160217	+	0.200906i
$342$	9.49731	−	51.2366i	0.513556	−	2.77056i
$343$	−7.94644	+	16.5010i	−0.429068	+	0.890968i
$344$	2.23848	+	6.17538i	0.120691	+	0.332954i
$345$	23.4760	−	2.64511i	1.26390	−	0.142408i
$346$	−5.51601	+	18.1214i	−0.296543	+	0.974213i
$347$			0.724834i			0.0389111i	0.999811	+	0.0194556i	$0.00619329\pi$
$347$			0.724834i			0.0389111i	−0.999811	+	0.0194556i	$0.993807\pi$
$348$	24.7346	+	21.1972i	1.32592	+	1.13629i
$349$		−	13.2566i		−	0.709608i	−0.934941	−	0.354804i	$-0.884548\pi$
$349$		−	13.2566i		−	0.709608i	0.934941	−	0.354804i	$-0.115452\pi$
$350$	−7.31574	−	2.22685i	−0.391043	−	0.119030i
$351$	44.5026	−	5.01424i	2.37537	−	0.267640i
$352$	2.17365	+	2.83339i	0.115856	+	0.151020i
$353$	−4.59586	+	9.54341i	−0.244613	+	0.507944i	−0.986739	−	0.162317i	$-0.948103\pi$
$353$	−4.59586	+	9.54341i	−0.244613	+	0.507944i	0.742126	+	0.670261i	$0.233818\pi$
$354$	−33.9624	−	6.29533i	−1.80508	−	0.334593i
$355$	7.79854	−	9.77906i	0.413903	−	0.519019i
$356$	−10.8642	−	2.82464i	−0.575802	−	0.149706i
$357$	12.7945	+	56.0564i	0.677157	+	2.96682i
$358$	−23.0644	−	21.2416i	−1.21899	−	1.12266i
$359$	−2.59054	+	1.62774i	−0.136723	+	0.0859089i	−0.598657	−	0.801006i	$-0.704299\pi$
$359$	−2.59054	+	1.62774i	−0.136723	+	0.0859089i	0.461934	+	0.886915i	$0.347156\pi$
$360$	26.8877	−	13.3199i	1.41711	−	0.702022i
$361$	16.5000	+	3.76601i	0.868419	+	0.198211i
$362$	−15.2622	+	10.4889i	−0.802163	+	0.551286i
$363$	30.2649	+	10.5901i	1.58849	+	0.555838i
$364$	−25.0751	+	2.06673i	−1.31429	+	0.108326i
$365$	−13.7155	−	13.7155i	−0.717904	−	0.717904i
$366$	−11.2826	−	0.803344i	−0.589753	−	0.0419915i
$367$	−2.40884	+	21.3790i	−0.125740	+	1.11598i	0.759391	+	0.650634i	$0.225497\pi$
$367$	−2.40884	+	21.3790i	−0.125740	+	1.11598i	−0.885132	+	0.465341i	$0.845932\pi$
$368$	−12.1161	+	13.4539i	−0.631596	+	0.701334i
$369$	−0.453956	−	0.285239i	−0.0236320	−	0.0148490i
$370$	−0.868657	+	0.236221i	−0.0451593	+	0.0122805i
$371$	0.0465777	−	0.0224306i	0.00241819	−	0.00116454i
$372$	−45.0100	−	6.44224i	−2.33366	−	0.334014i
$373$	−16.6832	+	13.3044i	−0.863825	+	0.688877i	−0.951625	−	0.307261i	$-0.900588\pi$
$373$	−16.6832	+	13.3044i	−0.863825	+	0.688877i	0.0878006	+	0.996138i	$0.472016\pi$
$374$	−3.15290	+	5.50818i	−0.163033	+	0.284821i
$375$	−34.5935	+	12.1048i	−1.78640	+	0.625089i
$376$	20.9021	+	7.05327i	1.07794	+	0.363745i
$377$	−22.7649	−	11.1141i	−1.17245	−	0.572405i
$378$	−29.0476	−	21.2718i	−1.49405	−	1.09410i
$379$	−15.9838	+	5.59297i	−0.821032	+	0.287291i	−0.707922	−	0.706291i	$-0.750367\pi$
$379$	−15.9838	+	5.59297i	−0.821032	+	0.287291i	−0.113110	+	0.993582i	$0.536081\pi$
$380$	8.41305	+	18.8983i	0.431580	+	0.969460i
$381$	35.5309	+	44.5544i	1.82031	+	2.28259i
$382$	−18.6411	+	9.94095i	−0.953762	+	0.508623i
$383$	9.63200	−	4.63853i	0.492172	−	0.237018i	−0.171300	−	0.985219i	$-0.554797\pi$
$383$	9.63200	−	4.63853i	0.492172	−	0.237018i	0.663472	+	0.748201i	$0.269082\pi$
$384$	−12.8628	+	31.7087i	−0.656404	+	1.61813i
$385$	1.54995	−	2.46674i	0.0789930	−	0.125717i
$386$	12.0112	−	27.8117i	0.611356	−	1.41558i
$387$	1.59850	−	14.1871i	0.0812563	−	0.721170i
$388$	1.14199	−	1.34714i	0.0579755	−	0.0683909i
$389$	−5.53996	+	5.53996i	−0.280887	+	0.280887i	−0.833463	−	0.552576i	$-0.813645\pi$
$389$	−5.53996	+	5.53996i	−0.280887	+	0.280887i	0.552576	+	0.833463i	$0.313645\pi$
$390$	−26.2346	+	22.7470i	−1.32844	+	1.15184i
$391$	−30.3720	−	10.6276i	−1.53598	−	0.537462i
$392$	0.337611	+	0.263129i	0.0170519	+	0.0132900i
$393$	−0.649332	+	2.84491i	−0.0327545	+	0.143507i
$394$	−26.8226	+	4.14491i	−1.35130	+	0.208817i
$395$	−0.449880	+	0.282678i	−0.0226359	+	0.0142231i
$396$	−1.49969	−	7.61560i	−0.0753623	−	0.382698i
$397$	20.4067	−	4.65770i	1.02418	−	0.233763i	0.322739	−	0.946488i	$-0.395396\pi$
$397$	20.4067	−	4.65770i	1.02418	−	0.233763i	0.701444	+	0.712725i	$0.252539\pi$
$398$	−1.39441	−	3.51442i	−0.0698955	−	0.176162i
$399$	30.2253	−	37.9014i	1.51316	−	1.89744i
$400$	3.93948	−	7.06395i	0.196974	−	0.353197i
$401$	−10.1916	−	4.90801i	−0.508943	−	0.245094i	0.161746	−	0.986832i	$-0.448287\pi$
$401$	−10.1916	−	4.90801i	−0.508943	−	0.245094i	−0.670690	+	0.741738i	$0.734002\pi$
$402$	4.25971	−	0.175249i	0.212455	−	0.00874064i
$403$	35.1380	−	3.95911i	1.75035	−	0.197217i
$404$	10.0740	+	13.4395i	0.501202	+	0.668641i
$405$	−17.8614			−0.887538
$406$	7.40918	+	18.9705i	0.367711	+	0.941492i
$407$			0.232860i			0.0115425i
$408$	−60.8103	+	0.678310i	−3.01056	+	0.0335813i
$409$	2.23770	+	19.8601i	0.110647	+	0.982021i	0.919252	+	0.393669i	$0.128794\pi$
$409$	2.23770	+	19.8601i	0.110647	+	0.982021i	−0.808605	+	0.588352i	$0.799777\pi$
$410$	0.212653	−	0.00874878i	0.0105022	−	0.000432072i
$411$	17.7971	−	36.9560i	0.877864	−	1.82290i
$412$	16.9393	+	17.9862i	0.834542	+	0.886115i
$413$	−16.8838	−	13.4644i	−0.830800	−	0.662541i
$414$	36.5785	−	14.5132i	1.79773	−	0.713283i
$415$	−1.51200	−	6.62449i	−0.0742210	−	0.325183i
$416$	3.47635	−	26.3831i	0.170442	−	1.29354i
$417$	7.18483	+	11.4346i	0.351842	+	0.559954i
$418$	5.28827	−	0.817198i	0.258658	−	0.0399705i
$419$	6.88475	+	1.57140i	0.336342	+	0.0767678i	0.387356	−	0.921930i	$-0.373388\pi$
$419$	6.88475	+	1.57140i	0.336342	+	0.0767678i	−0.0510145	+	0.998698i	$0.516245\pi$
$420$	27.9024	+	0.836314i	1.36150	+	0.0408079i
$421$	0.968063	−	2.76656i	0.0471805	−	0.134834i	−0.917882	−	0.396853i	$-0.870102\pi$
$421$	0.968063	−	2.76656i	0.0471805	−	0.134834i	0.965063	+	0.262018i	$0.0843881\pi$
$422$	−0.593126	−	0.684064i	−0.0288729	−	0.0332997i
$423$	−33.9042	−	33.9042i	−1.64848	−	1.64848i
$424$	0.0127610	+	0.0531689i	0.000619730	+	0.00258211i
$425$	14.2842	+	1.60945i	0.692887	+	0.0780697i
$426$	12.2918	−	28.4614i	0.595542	−	1.37896i
$427$	−5.98791	−	3.76246i	−0.289775	−	0.182078i
$428$	6.63713	−	17.2881i	0.320818	−	0.835650i
$429$	3.89713	+	8.09248i	0.188155	+	0.390708i
$430$	2.66691	+	5.00093i	0.128610	+	0.241166i
$431$	−1.49644	+	1.19337i	−0.0720810	+	0.0574827i	−0.658867	−	0.752259i	$-0.728964\pi$
$431$	−1.49644	+	1.19337i	−0.0720810	+	0.0574827i	0.586786	+	0.809742i	$0.300393\pi$
$432$	28.4909	−	25.2656i	1.37077	−	1.21559i
$433$	1.12578	+	3.21729i	0.0541014	+	0.154613i	0.967763	−	0.251863i	$-0.0810432\pi$
$433$	1.12578	+	3.21729i	0.0541014	+	0.154613i	−0.913661	+	0.406476i	$0.866757\pi$
$434$	−22.9352	−	16.7956i	−1.10092	−	0.806214i
$435$	23.7180	+	15.0814i	1.13719	+	0.723098i
$436$	39.1688	−	12.4017i	1.87584	−	0.593933i
$437$	8.96035	+	25.6072i	0.428632	+	1.22496i
$438$	−41.7250	−	23.8836i	−1.99370	−	1.14120i
$439$	16.0460	+	20.1211i	0.765836	+	0.960327i	0.999929	−	0.0118865i	$-0.00378369\pi$
$439$	16.0460	+	20.1211i	0.765836	+	0.960327i	−0.234094	+	0.972214i	$0.575212\pi$
$440$	2.20297	+	2.15436i	0.105022	+	0.102705i
$441$	−0.403664	−	0.838216i	−0.0192221	−	0.0399151i
$442$	45.6370	−	12.4104i	2.17073	−	0.590304i
$443$	−4.81177	+	7.65788i	−0.228614	+	0.363837i	−0.941258	−	0.337689i	$-0.890355\pi$
$443$	−4.81177	+	7.65788i	−0.228614	+	0.363837i	0.712644	+	0.701526i	$0.247498\pi$
$444$	−1.92398	+	1.12997i	−0.0913080	+	0.0536259i
$445$	−9.62480	−	1.08445i	−0.456259	−	0.0514081i
$446$	0.338883	−	4.75948i	0.0160466	−	0.225368i
$447$	23.1611	−	23.1611i	1.09548	−	1.09548i
$448$	−16.4245	+	13.7085i	−0.775984	+	0.647664i
$449$	−0.719881	+	2.05730i	−0.0339733	+	0.0970901i	−0.959621	−	0.281297i	$-0.909235\pi$
$449$	−0.719881	+	2.05730i	−0.0339733	+	0.0970901i	0.925647	+	0.378387i	$0.123521\pi$
$450$	−14.4882	+	9.95698i	−0.682979	+	0.469376i
$451$	0.0122508	−	0.0536743i	0.000576868	−	0.00252742i
$452$	22.7949	+	11.8315i	1.07218	+	0.556505i
$453$	22.6798	+	36.0946i	1.06559	+	1.69587i
$454$	15.7355	−	17.0858i	0.738504	−	0.801877i
$455$	−21.1648	+	4.83072i	−0.992220	+	0.226468i
$456$	32.4137	+	39.7282i	1.51791	+	1.86044i
$457$	17.5989	+	14.0346i	0.823241	+	0.656513i	0.941703	−	0.336446i	$-0.109225\pi$
$457$	17.5989	+	14.0346i	0.823241	+	0.656513i	−0.118461	+	0.992959i	$0.537796\pi$
$458$	−27.8386	−	5.16021i	−1.30081	−	0.241121i
$459$	60.9749	+	29.3640i	2.84607	+	1.37059i
$460$	−8.70400	+	12.9726i	−0.405826	+	0.604853i
$461$	−2.75965	−	24.4926i	−0.128530	−	1.14073i	−0.877988	−	0.478682i	$-0.841115\pi$
$461$	−2.75965	−	24.4926i	−0.128530	−	1.14073i	0.749458	−	0.662052i	$-0.230314\pi$
$462$	2.10273	−	6.90796i	0.0978278	−	0.321388i
$463$	23.4864			1.09150			0.545752	−	0.837947i	$-0.316244\pi$
$463$	23.4864			1.09150			0.545752	+	0.837947i	$0.316244\pi$
$464$	−21.2686	+	3.41265i	−0.987371	+	0.158428i
$465$	−39.2320			−1.81934
$466$	−9.30807	+	30.5792i	−0.431188	+	1.41655i
$467$	−3.60661	−	32.0095i	−0.166894	−	1.48122i	−0.745986	−	0.665962i	$-0.768021\pi$
$467$	−3.60661	−	32.0095i	−0.166894	−	1.48122i	0.579092	−	0.815262i	$-0.303407\pi$
$468$	−32.2260	+	48.0303i	−1.48965	+	2.22020i
$469$	2.40150	+	1.15650i	0.110891	+	0.0534022i
$470$	18.7154	+	3.46912i	0.863278	+	0.160019i
$471$	14.7578	+	11.7690i	0.680005	+	0.542286i
$472$	17.6976	−	14.4392i	0.814600	−	0.664620i
$473$	1.42931	−	0.326231i	0.0657198	−	0.0150001i
$474$	−0.892149	+	0.968707i	−0.0409778	+	0.0444942i
$475$	−6.44797	−	10.2619i	−0.295853	−	0.470848i
$476$	−33.7465	−	17.5158i	−1.54677	−	0.802834i
$477$	0.0264455	−	0.115865i	0.00121086	−	0.00530511i
$478$	32.7871	−	22.5329i	1.49964	−	1.03063i
$479$	−1.55517	+	4.44442i	−0.0710575	+	0.203071i	−0.973935	−	0.226827i	$-0.927165\pi$
$479$	−1.55517	+	4.44442i	−0.0710575	+	0.203071i	0.902877	+	0.429898i	$0.141450\pi$
$480$	−7.11014	+	28.6560i	−0.324532	+	1.30796i
$481$	1.22699	−	1.22699i	0.0559458	−	0.0559458i
$482$	−0.165995	+	2.33133i	−0.00756086	+	0.106189i
$483$	36.3796	+	4.09900i	1.65533	+	0.186511i
$484$	−18.2830	+	10.7377i	−0.831043	+	0.488078i
$485$	0.810717	−	1.29025i	0.0368128	−	0.0585872i
$486$	−3.74565	+	1.01858i	−0.169906	+	0.0462039i
$487$	−3.90994	−	8.11907i	−0.177176	−	0.367910i	0.793401	−	0.608699i	$-0.208308\pi$
$487$	−3.90994	−	8.11907i	−0.177176	−	0.367910i	−0.970578	+	0.240789i	$0.922594\pi$
$488$	5.22964	−	5.34762i	0.236734	−	0.242075i
$489$	3.08809	+	3.87234i	0.139648	+	0.175113i
$490$	0.320533	+	0.183474i	0.0144802	+	0.00828851i
$491$	3.80026	+	10.8605i	0.171503	+	0.490128i	0.997266	−	0.0738887i	$-0.0235410\pi$
$491$	3.80026	+	10.8605i	0.171503	+	0.490128i	−0.825763	+	0.564017i	$0.809255\pi$
$492$	0.502925	−	0.159237i	0.0226736	−	0.00717896i
$493$	−20.1932	−	32.5240i	−0.909457	−	1.46481i
$494$	−32.1709	−	23.5590i	−1.44744	−	1.05997i
$495$	−2.21195	−	6.32140i	−0.0994199	−	0.284126i
$496$	22.4956	−	19.9490i	1.01008	−	0.895736i
$497$	15.1542	−	12.0850i	0.679757	−	0.542088i
$498$	−7.92498	−	14.8608i	−0.355127	−	0.665928i
$499$	13.9177	+	28.9004i	0.623042	+	1.29376i	0.938650	+	0.344871i	$0.112077\pi$
$499$	13.9177	+	28.9004i	0.623042	+	1.29376i	−0.315608	+	0.948890i	$0.602208\pi$
$500$	8.68623	−	22.6254i	0.388460	−	1.01184i
$501$	42.4882	+	26.6971i	1.89823	+	1.19274i
$502$	−0.250247	+	0.579439i	−0.0111690	+	0.0258616i
$503$	8.11832	+	0.914715i	0.361978	+	0.0407851i	0.291081	−	0.956699i	$-0.405985\pi$
$503$	8.11832	+	0.914715i	0.361978	+	0.0407851i	0.0708972	+	0.997484i	$0.477414\pi$
$504$	45.2151	−	10.8520i	2.01404	−	0.483388i
$505$	10.2476	+	10.2476i	0.456010	+	0.456010i
$506$	2.64729	+	3.05318i	0.117687	+	0.135730i
$507$	9.12004	−	26.0636i	0.405035	−	1.15752i
$508$	−37.6668	−	1.12898i	−1.67119	−	0.0500904i
$509$	12.8634	+	2.93600i	0.570162	+	0.130136i	0.497876	−	0.867248i	$-0.334113\pi$
$509$	12.8634	+	2.93600i	0.570162	+	0.130136i	0.0722860	+	0.997384i	$0.476971\pi$
$510$	−51.8571	+	8.01350i	−2.29627	+	0.354844i
$511$	−15.9919	−	25.4510i	−0.707440	−	1.12588i
$512$	−10.4942	−	20.0467i	−0.463784	−	0.885949i
$513$	−12.6970	−	55.6292i	−0.560586	−	2.45609i
$514$	−20.5566	+	8.15618i	−0.906711	+	0.359754i
$515$	16.6673	+	13.2917i	0.734448	+	0.585703i
$516$	9.63127	+	10.2265i	0.423993	+	0.450195i
$517$	2.13631	−	4.43609i	0.0939547	−	0.195099i
$518$	−1.39382	+	0.0573435i	−0.0612411	+	0.00251953i
$519$	4.53579	+	40.2562i	0.199099	+	1.76705i
$520$	−0.256104	−	22.9597i	−0.0112309	−	1.00685i
$521$			20.5761i			0.901456i	0.892661	+	0.450728i	$0.148836\pi$
$521$			20.5761i			0.901456i	−0.892661	+	0.450728i	$0.851164\pi$
$522$	44.7159	+	13.8741i	1.95716	+	0.607255i
$523$	−8.67547			−0.379352			−0.189676	−	0.981847i	$-0.560744\pi$
$523$	−8.67547			−0.379352			−0.189676	+	0.981847i	$0.560744\pi$
$524$	−1.15736	−	1.54401i	−0.0505596	−	0.0674502i
$525$	−16.2517	+	1.83113i	−0.709284	+	0.0799171i
$526$	4.90677	−	0.201870i	0.213945	−	0.00880195i
$527$	48.1441	+	23.1850i	2.09719	+	1.00995i
$528$	6.67020	+	3.71989i	0.290283	+	0.161888i
$529$	1.56620	−	1.96395i	0.0680957	−	0.0853893i
$530$	0.0173996	+	0.0438533i	0.000755789	+	0.00190486i
$531$	−48.3999	+	11.0470i	−2.10038	+	0.479397i
$532$	6.19375	+	31.4526i	0.268533	+	1.36364i
$533$	−0.347373	+	0.218269i	−0.0150464	+	0.00945427i
$534$	−23.7256	+	3.66632i	−1.02671	+	0.158657i
$535$	3.55551	−	15.5777i	0.153718	−	0.673482i
$536$	−1.73304	+	2.22360i	−0.0748559	+	0.0960447i
$537$	−63.2955	−	22.1480i	−2.73140	−	0.955759i
$538$	7.01216	−	6.07998i	0.302316	−	0.262127i
$539$	0.0675543	−	0.0675543i	0.00290977	−	0.00290977i
$540$	21.2463	−	25.0632i	0.914295	−	1.07855i
$541$	−0.418766	+	3.71665i	−0.0180042	+	0.159791i	−0.999497	−	0.0317063i	$-0.989906\pi$
$541$	−0.418766	+	3.71665i	−0.0180042	+	0.159791i	0.981493	+	0.191498i	$0.0613344\pi$
$542$	−9.98932	+	23.1300i	−0.429078	+	0.993519i
$543$	−21.0714	+	33.5350i	−0.904261	+	1.43912i
$544$	25.6601	−	30.9636i	1.10017	−	1.32755i
$545$	31.9392	−	15.3811i	1.36813	−	0.658854i
$546$	−47.4792	+	25.3198i	−2.03192	+	1.08359i
$547$	−27.2369	−	34.1541i	−1.16457	−	1.46032i	−0.861793	−	0.507260i	$-0.830658\pi$
$547$	−27.2369	−	34.1541i	−1.16457	−	1.46032i	−0.302775	−	0.953062i	$-0.597913\pi$
$548$	11.0312	+	24.7793i	0.471228	+	1.05852i
$549$	−15.3449	+	5.36943i	−0.654906	+	0.229162i
$550$	−1.45647	−	1.06658i	−0.0621040	−	0.0454792i
$551$	−10.8240	+	30.4080i	−0.461116	+	1.29542i
$552$	−12.3804	+	36.6887i	−0.526943	+	1.56157i
$553$	−0.777155	+	0.271938i	−0.0330480	+	0.0115640i
$554$	−10.9390	+	19.1107i	−0.464754	+	0.811934i
$555$	−1.50519	+	1.20035i	−0.0638919	+	0.0509521i
$556$	−8.83997	−	1.26526i	−0.374898	−	0.0536589i
$557$	1.69650	−	0.816992i	0.0718831	−	0.0346171i	−0.397597	−	0.917560i	$-0.630156\pi$
$557$	1.69650	−	0.816992i	0.0718831	−	0.0346171i	0.469480	+	0.882943i	$0.344441\pi$
$558$	−63.0606	+	17.1486i	−2.66957	+	0.725957i
$559$	−9.25031	−	5.81236i	−0.391246	−	0.245836i
$560$	−12.3528	+	13.7168i	−0.522001	+	0.579639i
$561$	−1.51974	+	13.4880i	−0.0641633	+	0.569465i
$562$	25.2479	+	1.79769i	1.06502	+	0.0758310i
$563$	15.8005	+	15.8005i	0.665911	+	0.665911i	0.956767	−	0.290856i	$-0.0939399\pi$
$563$	15.8005	+	15.8005i	0.665911	+	0.665911i	−0.290856	+	0.956767i	$0.593940\pi$
$564$	47.0192	−	3.87541i	1.97987	−	0.163184i
$565$	20.9163	+	7.31893i	0.879955	+	0.307910i
$566$	17.1296	−	11.7723i	0.720011	−	0.494826i
$567$	−26.9850	−	6.15914i	−1.13326	−	0.258660i
$568$	9.10041	+	18.3702i	0.381845	+	0.770796i
$569$	−0.668848	+	0.420265i	−0.0280396	+	0.0176184i	−0.545979	−	0.837799i	$-0.683842\pi$
$569$	−0.668848	+	0.420265i	−0.0280396	+	0.0176184i	0.517939	+	0.855417i	$0.326699\pi$
$570$	32.5424	+	29.9705i	1.36305	+	1.25533i
$571$	8.43236	+	36.9446i	0.352883	+	1.54608i	0.770488	+	0.637454i	$0.220012\pi$
$571$	8.43236	+	36.9446i	0.352883	+	1.54608i	−0.417605	+	0.908629i	$0.637130\pi$
$572$	−5.74836	−	1.49454i	−0.240351	−	0.0624900i
$573$	−28.1701	+	35.3242i	−1.17682	+	1.47569i
$574$	0.324293	+	0.0601116i	0.0135357	+	0.00250901i
$575$	3.97113	−	8.24615i	0.165608	−	0.343888i
$576$	1.09704	+	49.1687i	0.0457102	+	2.04870i
$577$	−20.6799	+	2.33006i	−0.860914	+	0.0970017i	−0.531371	−	0.847139i	$-0.678323\pi$
$577$	−20.6799	+	2.33006i	−0.860914	+	0.0970017i	−0.329543	+	0.944141i	$0.606895\pi$
$578$	45.3732	+	13.8112i	1.88727	+	0.574471i
$579$		−	64.7894i		−	2.69256i
$580$	−17.7490	+	5.51497i	−0.736988	+	0.228997i
$581$		−	10.5297i		−	0.436844i
$582$	1.09985	−	3.61327i	0.0455902	−	0.149775i
$583$	0.0121273	−	0.00136642i	0.000502261	−	5.65912e-5i
$584$	29.8887	−	10.8342i	1.23680	−	0.448322i
$585$	−21.6535	+	44.9639i	−0.895262	+	1.85903i
$586$	1.02736	−	5.54248i	0.0424400	−	0.228958i
$587$	22.4218	−	28.1160i	0.925446	−	1.16047i	−0.0612874	−	0.998120i	$-0.519521\pi$
$587$	22.4218	−	28.1160i	0.925446	−	1.16047i	0.986733	−	0.162352i	$-0.0519080\pi$
$588$	0.885971	+	0.230348i	0.0365368	+	0.00949939i
$589$	−10.0252	−	43.9233i	−0.413081	−	1.80983i
$590$	13.3509	−	14.4966i	0.549648	−	0.596815i
$591$	−49.1481	+	30.8818i	−2.02168	+	1.27031i
$592$	0.252714	−	1.45365i	0.0103865	−	0.0597448i
$593$	4.65013	+	1.06136i	0.190958	+	0.0435849i	0.316930	−	0.948449i	$-0.397348\pi$
$593$	4.65013	+	1.06136i	0.190958	+	0.0435849i	−0.125972	+	0.992034i	$0.540205\pi$
$594$	−4.81387	−	7.00455i	−0.197515	−	0.287400i
$595$	−30.9653	−	10.8352i	−1.26946	−	0.444202i
$596$	1.77919	+	21.5864i	0.0728785	+	0.884214i
$597$	−5.71774	−	5.71774i	−0.234012	−	0.234012i
$598$	2.13868	−	30.0369i	0.0874572	−	1.22830i
$599$	−2.44792	+	21.7259i	−0.100019	+	0.887695i	0.839070	+	0.544023i	$0.183099\pi$
$599$	−2.44792	+	21.7259i	−0.100019	+	0.887695i	−0.939090	+	0.343672i	$0.888329\pi$
$600$	1.74489	−	17.2096i	0.0712350	−	0.702577i
$601$	2.06052	+	1.29471i	0.0840503	+	0.0528123i	0.573402	−	0.819274i	$-0.305624\pi$
$601$	2.06052	+	1.29471i	0.0840503	+	0.0528123i	−0.489351	+	0.872087i	$0.662766\pi$
$602$	2.30469	+	8.47504i	0.0939321	+	0.345417i
$603$	5.52071	−	2.65864i	0.224821	−	0.108268i
$604$	−27.9044	−	3.99394i	−1.13542	−	0.162511i
$605$	−14.3034	+	11.4066i	−0.581515	+	0.463742i
$606$	31.1749	+	17.8446i	1.26639	+	0.724887i
$607$	14.4091	−	5.04196i	0.584847	−	0.204647i	−0.0216057	−	0.999767i	$-0.506878\pi$
$607$	14.4091	−	5.04196i	0.584847	−	0.204647i	0.606452	+	0.795120i	$0.292592\pi$
$608$	−33.8994	−	0.637717i	−1.37480	−	0.0258628i
$609$	30.6327	+	30.9637i	1.24130	+	1.25471i
$610$	3.81305	−	5.20691i	0.154386	−	0.210821i
$611$	−34.6313	+	12.1180i	−1.40103	+	0.490242i
$612$	−79.8511	+	35.5478i	−3.22779	+	1.43693i
$613$	27.2177	+	34.1300i	1.09931	+	1.37850i	0.918707	+	0.394941i	$0.129235\pi$
$613$	27.2177	+	34.1300i	1.09931	+	1.37850i	0.180608	+	0.983555i	$0.442194\pi$
$614$	15.0901	+	28.2966i	0.608986	+	1.14196i
$615$	0.410098	−	0.197493i	0.0165367	−	0.00796368i
$616$	2.58536	+	4.01447i	0.104167	+	0.161747i
$617$	−16.0537	+	25.5493i	−0.646296	+	1.02857i	0.349496	+	0.936938i	$0.386353\pi$
$617$	−16.0537	+	25.5493i	−0.646296	+	1.02857i	−0.995792	+	0.0916369i	$0.970790\pi$
$618$	48.5093	+	20.9500i	1.95133	+	0.842734i
$619$	4.34605	−	38.5723i	0.174683	−	1.55035i	−0.534404	−	0.845229i	$-0.679464\pi$
$619$	4.34605	−	38.5723i	0.174683	−	1.55035i	0.709087	−	0.705121i	$-0.249107\pi$
$620$	16.7755	−	19.7892i	0.673719	−	0.794753i
$621$	30.4699	−	30.4699i	1.22272	−	1.22272i
$622$	5.22247	+	6.02317i	0.209402	+	0.241507i
$623$	−14.1672	−	4.95732i	−0.567597	−	0.198611i
$624$	−15.5458	−	54.7475i	−0.622329	−	2.19165i
$625$	2.40347	−	10.5303i	0.0961387	−	0.421211i
$626$	−6.66405	−	43.1246i	−0.266349	−	1.72360i
$627$	9.68989	−	6.08856i	0.386977	−	0.243154i
$628$	−12.2468	+	2.41169i	−0.488702	+	0.0962368i
$629$	2.55649	−	0.583502i	0.101934	−	0.0232658i
$630$	37.2931	−	14.7967i	1.48579	−	0.589514i
$631$	0.507478	−	0.636357i	0.0202024	−	0.0253330i	−0.771628	−	0.636074i	$-0.780557\pi$
$631$	0.507478	−	0.636357i	0.0202024	−	0.0253330i	0.791830	+	0.610741i	$0.209129\pi$
$632$	−0.107150	−	0.864228i	−0.00426219	−	0.0343771i
$633$	−1.74456	−	0.840138i	−0.0693402	−	0.0333925i
$634$	−0.973257	−	23.6566i	−0.0386530	−	0.939522i
$635$	−32.3104	+	3.64051i	−1.28220	+	0.144469i
$636$	0.0701383	+	0.0935697i	0.00278116	+	0.00371028i
$637$	−0.711915			−0.0282071
$638$	0.171815	+	4.80469i	0.00680224	+	0.190219i
$639$		−	44.5586i		−	1.76271i
$640$	−11.4142	−	15.8396i	−0.451186	−	0.626116i
$641$	0.0565644	+	0.502023i	0.00223416	+	0.0198287i	0.994780	−	0.102045i	$-0.0325384\pi$
$641$	0.0565644	+	0.502023i	0.00223416	+	0.0198287i	−0.992546	+	0.121873i	$0.961110\pi$
$642$	−1.62798	−	39.5707i	−0.0642513	−	1.56173i
$643$	−3.91228	+	8.12393i	−0.154285	+	0.320377i	−0.963757	−	0.266783i	$-0.914039\pi$
$643$	−3.91228	+	8.12393i	−0.154285	+	0.320377i	0.809471	+	0.587159i	$0.199754\pi$
$644$	−17.6234	+	16.5977i	−0.694458	+	0.654040i
$645$	9.47658	+	7.55732i	0.373140	+	0.297569i
$646$	−22.2231	−	56.0103i	−0.874356	−	2.20370i
$647$	−9.68830	−	42.4472i	−0.380886	−	1.66877i	−0.694710	−	0.719290i	$-0.744467\pi$
$647$	−9.68830	−	42.4472i	−0.380886	−	1.66877i	0.313824	−	0.949481i	$-0.398390\pi$
$648$	12.4071	−	26.5161i	0.487396	−	1.04165i
$649$	−2.71226	−	4.31654i	−0.106466	−	0.169439i
$650$	2.05440	+	13.2945i	0.0805801	+	0.521452i
$651$	−59.2718	−	13.5284i	−2.32305	−	0.530220i
$652$	−3.27372	−	0.0981227i	−0.128209	−	0.00384278i
$653$	10.8770	−	31.0848i	0.425652	−	1.21644i	−0.508966	−	0.860787i	$-0.669972\pi$
$653$	10.8770	−	31.0848i	0.425652	−	1.21644i	0.934617	−	0.355655i	$-0.115742\pi$
$654$	66.3869	−	57.5616i	2.59593	−	2.25084i
$655$	−1.17730	−	1.17730i	−0.0460008	−	0.0460008i
$656$	−0.134728	+	0.321772i	−0.00526023	+	0.0125631i
$657$	−68.6652	−	7.73670i	−2.67888	−	0.301838i
$658$	27.0790	+	11.6948i	1.05565	+	0.455911i
$659$	8.97862	+	5.64164i	0.349757	+	0.219767i	0.695440	−	0.718585i	$-0.255210\pi$
$659$	8.97862	+	5.64164i	0.349757	+	0.219767i	−0.345682	+	0.938352i	$0.612353\pi$
$660$	6.15200	+	2.36184i	0.239466	+	0.0919345i
$661$	−10.3017	−	21.3917i	−0.400690	−	0.832041i	−0.999514	−	0.0311605i	$-0.990080\pi$
$661$	−10.3017	−	21.3917i	−0.400690	−	0.832041i	0.598825	−	0.800880i	$-0.295635\pi$
$662$	−1.25354	+	0.668489i	−0.0487202	+	0.0259816i
$663$	79.0790	−	63.0634i	3.07117	−	2.44918i
$664$	10.8847	+	2.35694i	0.422408	+	0.0914672i
$665$	9.13540	+	26.1075i	0.354256	+	1.01240i
$666$	−1.89473	+	2.58734i	−0.0734192	+	0.100258i
$667$	−23.7929	+	5.29623i	−0.921265	+	0.205071i
$668$	−31.6342	+	10.0161i	−1.22396	+	0.387533i
$669$	−3.37037	−	9.63196i	−0.130306	−	0.372393i
$670$	−1.20841	+	2.11111i	−0.0466849	+	0.0815594i
$671$	−1.04087	−	1.30521i	−0.0401825	−	0.0503873i
$672$	−20.6234	+	40.8416i	−0.795567	+	1.57550i
$673$	20.2716	+	42.0944i	0.781412	+	1.62262i	0.782525	+	0.622619i	$0.213931\pi$
$673$	20.2716	+	42.0944i	0.781412	+	1.62262i	−0.00111379	+	0.999999i	$0.500355\pi$
$674$	5.10699	+	18.7800i	0.196714	+	0.723377i
$675$	−10.2415	+	16.2993i	−0.394197	+	0.627361i
$676$	9.24714	+	15.7450i	0.355659	+	0.605576i
$677$	26.7659	+	3.01579i	1.02870	+	0.115906i	0.610147	−	0.792288i	$-0.291110\pi$
$677$	26.7659	+	3.01579i	1.02870	+	0.115906i	0.418549	+	0.908194i	$0.362539\pi$
$678$	54.7871	+	3.90094i	2.10409	+	0.149815i
$679$	1.66975	−	1.66975i	0.0640791	−	0.0640791i
$680$	18.1318	−	29.5840i	0.695323	−	1.13450i
$681$	16.4070	−	46.8884i	0.628716	−	1.79677i
$682$	−3.80090	−	5.53060i	−0.145544	−	0.211778i
$683$	1.02447	−	4.48850i	0.0392003	−	0.171748i	−0.951538	−	0.307530i	$-0.900498\pi$
$683$	1.02447	−	4.48850i	0.0392003	−	0.171748i	0.990739	+	0.135782i	$0.0433547\pi$
$684$	65.4081	+	33.9494i	2.50094	+	1.29809i
$685$	12.4514	+	19.8163i	0.475743	+	0.757141i
$686$	−19.0521	−	17.5464i	−0.727411	−	0.669923i
$687$	−59.0329	+	13.4739i	−2.25225	+	0.514060i
$688$	−9.27667	+	0.485352i	−0.353670	+	0.0185039i
$689$	−0.0711011	−	0.0567012i	−0.00270874	−	0.00216015i
$690$	−6.08923	+	32.8505i	−0.231813	+	1.25060i
$691$	6.55508	+	3.15676i	0.249367	+	0.120089i	0.554392	−	0.832255i	$-0.312951\pi$
$691$	6.55508	+	3.15676i	0.249367	+	0.120089i	−0.305026	+	0.952344i	$0.598665\pi$
$692$	−22.2453	−	14.9255i	−0.845639	−	0.567382i
$693$	−1.16201	−	10.3131i	−0.0441411	−	0.391763i
$694$	−0.980645	−	0.298501i	−0.0372248	−	0.0113309i
$695$	−7.70519			−0.292274
$696$	−38.8644	+	24.7347i	−1.47315	+	0.937565i
$697$	−0.619969			−0.0234830
$698$	17.9351	+	5.45931i	0.678855	+	0.206638i
$699$	7.65397	+	67.9309i	0.289500	+	2.56938i
$700$	6.02553	−	8.98059i	0.227744	−	0.339434i
$701$	−29.7275	−	14.3160i	−1.12279	−	0.540709i	−0.222039	−	0.975038i	$-0.571271\pi$
$701$	−29.7275	−	14.3160i	−1.12279	−	0.540709i	−0.900754	+	0.434329i	$0.856986\pi$
$702$	−11.5432	+	62.2737i	−0.435668	+	2.35037i
$703$	−1.72852	−	1.37845i	−0.0651923	−	0.0519891i
$704$	−4.72852	+	1.77393i	−0.178213	+	0.0668576i
$705$	39.6869	−	9.05827i	1.49469	−	0.341154i
$706$	−11.0188	−	10.1480i	−0.414700	−	0.381926i
$707$	11.9484	+	19.0157i	0.449364	+	0.715159i
$708$	22.5035	−	43.3560i	0.845732	−	1.62942i
$709$	−6.33783	+	27.7678i	−0.238022	+	1.04284i	0.704763	+	0.709442i	$0.251053\pi$
$709$	−6.33783	+	27.7678i	−0.238022	+	1.04284i	−0.942785	+	0.333400i	$0.891804\pi$
$710$	10.0187	+	14.5780i	0.375997	+	0.547104i
$711$	−0.625149	+	1.78657i	−0.0234449	+	0.0670018i
$712$	8.29562	−	13.5352i	0.310892	−	0.507254i
$713$	24.0582	−	24.0582i	0.900986	−	0.900986i
$714$	−81.1091	−	5.77511i	−3.03543	−	0.216128i
$715$	−5.09257	−	0.573795i	−0.190451	−	0.0214587i
$716$	38.2367	−	22.4567i	1.42897	−	0.839247i
$717$	45.2667	−	72.0416i	1.69052	−	2.69044i
$718$	−1.13538	−	4.17513i	−0.0423719	−	0.155815i
$719$	−6.14822	−	12.7669i	−0.229290	−	0.476126i	0.754303	−	0.656526i	$-0.227975\pi$
$719$	−6.14822	−	12.7669i	−0.229290	−	0.476126i	−0.983593	+	0.180401i	$0.942261\pi$
$720$	6.94796	+	41.8625i	0.258935	+	1.56012i
$721$	20.5976	+	25.8285i	0.767093	+	0.961904i
$722$	−11.8901	+	20.7723i	−0.442505	+	0.773064i
$723$	1.65091	+	4.71802i	0.0613978	+	0.175465i
$724$	−7.90545	−	24.9681i	−0.293804	−	0.927934i
$725$	9.83595	−	4.67180i	0.365298	−	0.173506i
$726$	−26.7913	+	36.5848i	−0.994318	+	1.35779i
$727$	9.09125	+	25.9813i	0.337176	+	0.963593i	0.980245	+	0.197785i	$0.0633749\pi$
$727$	9.09125	+	25.9813i	0.337176	+	0.963593i	−0.643070	+	0.765808i	$0.722339\pi$
$728$	7.53027	−	34.7758i	0.279090	−	1.28888i
$729$	17.7863	−	14.1841i	0.658753	−	0.525338i
$730$	24.2044	−	12.9078i	0.895845	−	0.477738i
$731$	−7.16315	−	14.8744i	−0.264939	−	0.550151i
$732$	5.73328	−	14.9337i	0.211908	−	0.551967i
$733$	−10.0956	−	6.34346i	−0.372888	−	0.234301i	0.332530	−	0.943093i	$-0.392098\pi$
$733$	−10.0956	−	6.34346i	−0.372888	−	0.234301i	−0.705418	+	0.708792i	$0.749241\pi$
$734$	−27.9322	−	12.0633i	−1.03100	−	0.445263i
$735$	0.784897	+	0.0884367i	0.0289514	+	0.00326204i
$736$	−13.2125	−	21.9328i	−0.487019	−	0.808453i
$737$	0.444931	+	0.444931i	0.0163892	+	0.0163892i
$738$	0.572855	−	0.496701i	0.0210871	−	0.0182838i
$739$	−1.51992	+	4.34369i	−0.0559112	+	0.159785i	−0.968452	−	0.249201i	$-0.919832\pi$
$739$	−1.51992	+	4.34369i	−0.0559112	+	0.159785i	0.912540	+	0.408986i	$0.134118\pi$
$740$	0.0381407	−	1.27251i	0.00140208	−	0.0467783i
$741$	−83.1399	−	18.9761i	−3.05422	−	0.697106i
$742$	0.0111654	+	0.0722534i	0.000409893	+	0.00265251i
$743$	8.21736	+	13.0779i	0.301466	+	0.479780i	0.962764	−	0.270343i	$-0.0871371\pi$
$743$	8.21736	+	13.0779i	0.301466	+	0.479780i	−0.661298	+	0.750123i	$0.729994\pi$
$744$	27.2518	−	58.2420i	0.999101	−	2.13526i
$745$	4.15863	+	18.2202i	0.152360	+	0.667535i
$746$	−11.1294	−	28.0502i	−0.407477	−	1.02699i
$747$	−18.9252	−	15.0924i	−0.692438	−	0.552201i
$748$	−6.15372	−	6.53401i	−0.225002	−	0.238907i
$749$	10.7433	−	22.3087i	0.392552	−	0.815144i
$750$	−2.13059	−	51.7874i	−0.0777983	−	1.89101i
$751$	−0.0226147	−	0.200711i	−0.000825222	−	0.00732404i	0.993293	−	0.115626i	$-0.0368873\pi$
$751$	−0.0226147	−	0.200711i	−0.000825222	−	0.00732404i	−0.994118	+	0.108302i	$0.965459\pi$
$752$	−18.1504	+	25.3743i	−0.661878	+	0.925304i
$753$			1.34985i			0.0491911i
$754$	24.4116	−	26.2222i	0.889017	−	0.954957i
$755$	−24.3224			−0.885181
$756$	40.7415	−	30.5391i	1.48175	−	1.11070i
$757$	6.57797	−	0.741159i	0.239080	−	0.0269379i	0.00838885	−	0.999965i	$-0.497330\pi$
$757$	6.57797	−	0.741159i	0.239080	−	0.0269379i	0.230692	+	0.973027i	$0.425901\pi$
$758$	−0.984431	−	23.9281i	−0.0357561	−	0.869109i
$759$	7.78650	+	3.74978i	0.282632	+	0.136108i
$760$	−29.0326	+	3.59955i	−1.05312	+	0.130569i
$761$	15.5349	−	19.4802i	0.563141	−	0.706157i	−0.415994	−	0.909368i	$-0.636566\pi$
$761$	15.5349	−	19.4802i	0.563141	−	0.706157i	0.979135	+	0.203211i	$0.0651376\pi$
$762$	−74.9111	+	29.7223i	−2.71374	+	1.07673i
$763$	53.5576	−	12.2242i	1.93892	−	0.442545i
$764$	−5.77259	−	29.3139i	−0.208845	−	1.06054i
$765$	−63.8577	+	40.1244i	−2.30878	+	1.45070i
$766$	2.30893	+	14.9416i	0.0834251	+	0.539862i
$767$	−8.45326	+	37.0362i	−0.305230	+	1.33730i
$768$	−37.6023	−	30.4607i	−1.35686	−	1.09916i
$769$	31.8829	+	11.1563i	1.14973	+	0.402307i	0.836821	−	0.547477i	$-0.184411\pi$
$769$	31.8829	+	11.1563i	1.14973	+	0.402307i	0.312907	+	0.949784i	$0.398697\pi$
$770$	2.69901	+	3.11282i	0.0972656	+	0.112178i
$771$	−33.4442	+	33.4442i	−1.20446	+	1.20446i
$772$	32.6807	+	27.7037i	1.17620	+	0.997078i
$773$	1.09901	−	9.75401i	0.0395287	−	0.350827i	−0.958343	−	0.285620i	$-0.907801\pi$
$773$	1.09901	−	9.75401i	0.0395287	−	0.350827i	0.997872	−	0.0652074i	$-0.0207709\pi$
$774$	18.5358	+	8.00517i	0.666254	+	0.287740i
$775$	−8.08644	+	12.8695i	−0.290473	+	0.462286i
$776$	1.35229	+	2.09980i	0.0485445	+	0.0753784i
$777$	−2.68797	+	1.29446i	−0.0964303	+	0.0464384i
$778$	−5.21368	−	9.77661i	−0.186920	−	0.350508i
$779$	0.325903	+	0.408669i	0.0116767	+	0.0146421i
$780$	−19.9711	−	44.8611i	−0.715080	−	1.60629i
$781$	4.31889	−	1.51125i	0.154542	−	0.0540766i
$782$	26.8861	−	36.7144i	0.961447	−	1.31290i
$783$	50.9744	−	5.46623i	1.82168	−	0.195347i
$784$	−0.495029	+	0.348400i	−0.0176796	+	0.0124429i
$785$	−10.1656	+	3.55709i	−0.362825	+	0.126958i
$786$	−3.58154	−	2.05009i	−0.127749	−	0.0731242i
$787$	−32.6797	+	26.0612i	−1.16491	+	0.928982i	−0.998371	−	0.0570533i	$-0.981830\pi$
$787$	−32.6797	+	26.0612i	−1.16491	+	0.928982i	−0.166536	+	0.986035i	$0.553258\pi$
$788$	5.43832	−	37.9959i	0.193732	−	1.35355i
$789$	9.46263	−	4.55696i	0.336878	−	0.162232i
$790$	−0.197173	−	0.725066i	−0.00701511	−	0.0257967i
$791$	29.0766	+	18.2700i	1.03384	+	0.649607i
$792$	10.9209	+	1.10728i	0.388059	+	0.0393456i
$793$	−1.39287	+	12.3620i	−0.0494621	+	0.438988i
$794$	−2.10236	+	29.5269i	−0.0746101	+	1.04787i
$795$	0.0713464	+	0.0713464i	0.00253040	+	0.00253040i
$796$	5.32900	−	0.439225i	0.188881	−	0.0155679i
$797$	−27.1880	−	9.51350i	−0.963049	−	0.336985i	−0.197457	−	0.980312i	$-0.563268\pi$
$797$	−27.1880	−	9.51350i	−0.963049	−	0.336985i	−0.765592	+	0.643326i	$0.777554\pi$
$798$	38.8303	+	56.5011i	1.37458	+	2.00012i
$799$	−54.0554	−	12.3378i	−1.91234	−	0.436480i
$800$	7.93463	+	8.23889i	0.280532	+	0.291289i
$801$	−29.2160	+	18.3576i	−1.03230	+	0.648635i
$802$	10.8373	−	11.7672i	0.382677	−	0.415515i
$803$	−1.57895	−	6.91783i	−0.0557200	−	0.244125i
$804$	−1.51713	+	5.83524i	−0.0535052	+	0.205793i
$805$	−13.0236	+	16.3311i	−0.459022	+	0.575596i
$806$	−9.11415	+	49.1695i	−0.321032	+	1.73192i
$807$	8.61204	−	17.8831i	0.303158	−	0.629515i
$808$	−22.3313	+	8.09476i	−0.785613	+	0.284773i
$809$	−16.8695	+	1.90074i	−0.593101	+	0.0668264i	−0.403413	−	0.915018i	$-0.632176\pi$
$809$	−16.8695	+	1.90074i	−0.593101	+	0.0668264i	−0.189688	+	0.981844i	$0.560748\pi$
$810$	7.35566	−	24.1651i	0.258451	−	0.849074i
$811$			46.2164i			1.62288i	0.584436	+	0.811439i	$0.301316\pi$
$811$			46.2164i			1.62288i	−0.584436	+	0.811439i	$0.698684\pi$
$812$	−28.7170	+	2.21162i	−1.00777	+	0.0776126i
$813$			53.8830i			1.88976i
$814$	−0.315042	−	0.0958964i	−0.0110422	−	0.00336117i
$815$	−2.80819	+	0.316407i	−0.0983665	+	0.0110832i
$816$	24.1252	−	82.5511i	0.844550	−	2.88987i
$817$	−6.03939	+	12.5409i	−0.211291	+	0.438751i
$818$	−27.7908	−	5.15135i	−0.971683	−	0.180113i
$819$	−48.2191	+	60.4648i	−1.68491	+	2.11281i
$820$	−0.0757382	+	0.291306i	−0.00264489	+	0.0101729i
$821$	−4.61216	−	20.2072i	−0.160965	−	0.705235i	−0.989408	−	0.145161i	$-0.953630\pi$
$821$	−4.61216	−	20.2072i	−0.160965	−	0.705235i	0.828443	−	0.560074i	$-0.189227\pi$
$822$	42.6695	+	39.2973i	1.48827	+	1.37065i
$823$	−16.6497	+	10.4617i	−0.580372	+	0.364672i	−0.789998	−	0.613110i	$-0.789918\pi$
$823$	−16.6497	+	10.4617i	−0.580372	+	0.364672i	0.209626	+	0.977782i	$0.432775\pi$
$824$	−31.3099	+	15.5106i	−1.09073	+	0.540338i
$825$	−3.76398	−	0.859103i	−0.131045	−	0.0299101i
$826$	25.1694	−	17.2977i	0.875757	−	0.601863i
$827$	28.4749	+	9.96379i	0.990168	+	0.346475i	0.776283	−	0.630384i	$-0.217103\pi$
$827$	28.4749	+	9.96379i	0.990168	+	0.346475i	0.213885	+	0.976859i	$0.431388\pi$
$828$	4.57150	+	55.4647i	0.158871	+	1.92753i
$829$	19.8347	+	19.8347i	0.688888	+	0.688888i	0.961986	−	0.273098i	$-0.0880485\pi$
$829$	19.8347	+	19.8347i	0.688888	+	0.688888i	−0.273098	+	0.961986i	$0.588048\pi$
$830$	9.58510	+	0.682476i	0.332704	+	0.0236891i
$831$	−5.27274	+	46.7968i	−0.182909	+	1.62336i
$832$	34.2627	+	15.5683i	1.18785	+	0.539734i
$833$	−0.910933	−	0.572377i	−0.0315620	−	0.0198317i
$834$	−18.4290	+	5.01154i	−0.638143	+	0.173536i
$835$	−25.7953	+	12.4224i	−0.892683	+	0.429894i
$836$	−1.07220	+	7.49117i	−0.0370830	+	0.259087i
$837$	−55.9471	+	44.6163i	−1.93381	+	1.54217i
$838$	−4.96126	+	8.66741i	−0.171384	+	0.299411i
$839$	22.9639	−	8.03540i	0.792801	−	0.277413i	0.0966591	−	0.995318i	$-0.469184\pi$
$839$	22.9639	−	8.03540i	0.792801	−	0.277413i	0.696141	+	0.717905i	$0.254899\pi$
$840$	−12.6222	+	37.4054i	−0.435508	+	1.29061i
$841$	−25.9914	−	12.8627i	−0.896254	−	0.443541i
$842$	3.34429	+	2.44904i	0.115252	+	0.0843995i
$843$	51.0952	−	17.8790i	1.75981	−	0.615785i
$844$	1.16975	−	0.520743i	0.0402644	−	0.0179247i
$845$	9.82313	+	12.3178i	0.337926	+	0.423746i
$846$	59.8322	−	31.9074i	2.05707	−	1.09700i
$847$	−25.5429	+	12.3008i	−0.877663	+	0.422660i
$848$	−0.0771888	−	0.00463129i	−0.00265067	−	0.000159039i
$849$	23.6496	−	37.6381i	0.811652	−	1.29174i
$850$	−8.05999	+	18.6627i	−0.276455	+	0.640125i
$851$	0.186938	−	1.65912i	0.00640814	−	0.0568738i
$852$	33.4442	+	28.3509i	1.14578	+	0.971286i
$853$	14.8090	−	14.8090i	0.507050	−	0.507050i	−0.406570	−	0.913620i	$-0.633275\pi$
$853$	14.8090	−	14.8090i	0.507050	−	0.507050i	0.913620	+	0.406570i	$0.133275\pi$
$854$	7.55626	−	6.55174i	0.258570	−	0.224196i
$855$	60.0175	+	21.0010i	2.05256	+	0.718221i
$856$	20.6561	+	16.0991i	0.706012	+	0.550256i
$857$	10.4855	−	45.9401i	0.358179	−	1.56928i	−0.399549	−	0.916712i	$-0.630833\pi$
$857$	10.4855	−	45.9401i	0.358179	−	1.56928i	0.757728	−	0.652571i	$-0.226310\pi$
$858$	−12.5534	+	1.93989i	−0.428567	+	0.0662266i
$859$	−0.397685	+	0.249882i	−0.0135689	+	0.00852587i	−0.538799	−	0.842434i	$-0.681122\pi$
$859$	−0.397685	+	0.249882i	−0.0135689	+	0.00852587i	0.525231	+	0.850960i	$0.323979\pi$
$860$	−7.86417	+	1.54864i	−0.268166	+	0.0528082i
$861$	0.687678	−	0.156958i	0.0234360	−	0.00534911i
$862$	−0.998278	−	2.51602i	−0.0340015	−	0.0856961i
$863$	−21.5906	+	27.0738i	−0.734954	+	0.921603i	−0.999080	−	0.0428848i	$-0.986345\pi$
$863$	−21.5906	+	27.0738i	−0.734954	+	0.921603i	0.264126	+	0.964488i	$0.414917\pi$
$864$	22.4493	+	48.9509i	0.763740	+	1.66534i
$865$	−20.8251	−	10.0288i	−0.708075	−	0.340991i
$866$	−4.81637	+	0.198151i	−0.163667	+	0.00673343i
$867$	100.795	−	11.3569i	3.42319	−	0.385701i
$868$	32.1683	−	24.1128i	1.09186	−	0.818443i
$869$	−0.194368			−0.00659348
$870$	−30.1715	+	25.8779i	−1.02291	+	0.877343i
$871$		−	4.68886i		−	0.158876i
$872$	0.648074	+	58.0996i	0.0219465	+	1.96750i
$873$	−0.607799	−	5.39436i	−0.0205709	−	0.182572i
$874$	−38.3347	+	1.57713i	−1.29669	+	0.0533473i
$875$	14.0601	−	29.1962i	0.475319	−	0.987011i
$876$	49.4958	−	46.6151i	1.67231	−	1.57498i
$877$	−26.3990	−	21.0525i	−0.891430	−	0.710892i	0.0665325	−	0.997784i	$-0.478806\pi$
$877$	−26.3990	−	21.0525i	−0.891430	−	0.710892i	−0.957963	+	0.286892i	$0.907378\pi$
$878$	−33.8304	+	13.4228i	−1.14172	+	0.452998i
$879$	−2.68256	−	11.7531i	−0.0904806	−	0.396421i
$880$	−3.82192	+	2.09324i	−0.128837	+	0.0705631i
$881$	−16.0374	−	25.5233i	−0.540313	−	0.859903i	0.459284	−	0.888289i	$-0.348106\pi$
$881$	−16.0374	−	25.5233i	−0.540313	−	0.859903i	−0.999597	+	0.0283864i	$0.990963\pi$
$882$	1.30028	−	0.200933i	0.0437827	−	0.00676576i
$883$	33.8905	+	7.73528i	1.14050	+	0.260313i	0.750737	−	0.660601i	$-0.229698\pi$
$883$	33.8905	+	7.73528i	1.14050	+	0.260313i	0.389767	+	0.920913i	$0.372555\pi$
$884$	−2.00381	+	66.8542i	−0.0673955	+	2.24855i
$885$	13.9206	−	39.7829i	0.467937	−	1.33729i
$886$	−8.37896	−	9.66362i	−0.281497	−	0.324656i
$887$	−4.50090	−	4.50090i	−0.151125	−	0.151125i	0.627495	−	0.778620i	$-0.284080\pi$
$887$	−4.50090	−	4.50090i	−0.151125	−	0.151125i	−0.778620	+	0.627495i	$0.784080\pi$
$888$	−0.736430	−	3.06834i	−0.0247130	−	0.102967i
$889$	−50.0700	−	5.64153i	−1.67929	−	0.189211i
$890$	5.43086	−	12.5750i	0.182043	−	0.421516i
$891$	−5.53256	−	3.47634i	−0.185348	−	0.116462i
$892$	6.29966	+	2.41853i	0.210928	+	0.0809784i
$893$	20.2829	+	42.1178i	0.678740	+	1.40942i
$894$	21.7971	+	40.8735i	0.729003	+	1.36701i
$895$	29.9139	−	23.8555i	0.999910	−	0.797402i
$896$	−11.7826	−	27.8665i	−0.393629	−	0.930954i
$897$	−21.2703	−	60.7870i	−0.710195	−	2.02962i
$898$	−2.48691	−	1.82118i	−0.0829894	−	0.0607736i
$899$	40.2480	−	4.31598i	1.34235	−	0.143946i
$900$	−7.50453	−	23.7019i	−0.250151	−	0.790063i
$901$	−0.0453900	−	0.129717i	−0.00151216	−	0.00432151i
$902$	0.0675721	+	0.0386785i	0.00224991	+	0.00128785i
$903$	11.7112	+	14.6854i	0.389725	+	0.488700i
$904$	−25.3945	+	25.9674i	−0.844607	+	0.863662i
$905$	−9.80470	−	20.3597i	−0.325919	−	0.676778i
$906$	−58.1733	+	15.8195i	−1.93268	+	0.525569i
$907$	−22.4581	+	35.7418i	−0.745708	+	1.18679i	0.231154	+	0.972917i	$0.425750\pi$
$907$	−22.4581	+	35.7418i	−0.745708	+	1.18679i	−0.976862	+	0.213870i	$0.931393\pi$
$908$	16.6356	+	28.3252i	0.552073	+	0.940006i
$909$	51.3032	+	5.78048i	1.70162	+	0.191726i
$910$	2.18046	−	30.6237i	0.0722817	−	1.01517i
$911$	25.3749	−	25.3749i	0.840709	−	0.840709i	−0.148242	−	0.988951i	$-0.547362\pi$
$911$	25.3749	−	25.3749i	0.840709	−	0.840709i	0.988951	+	0.148242i	$0.0473616\pi$
$912$	−67.0978	+	27.4924i	−2.22183	+	0.910364i
$913$	0.820977	−	2.34622i	0.0271704	−	0.0776484i
$914$	−26.2354	+	18.0302i	−0.867789	+	0.596387i
$915$	3.07131	−	13.4563i	0.101534	−	0.444851i
$916$	18.4458	−	35.5384i	0.609468	−	1.17422i
$917$	−1.37269	−	2.18463i	−0.0453303	−	0.0721428i
$918$	−64.8379	+	70.4018i	−2.13997	+	2.32361i
$919$	11.6032	−	2.64836i	0.382755	−	0.0873614i	−0.0268139	−	0.999640i	$-0.508536\pi$
$919$	11.6032	−	2.64836i	0.382755	−	0.0873614i	0.409569	+	0.912279i	$0.365679\pi$
$920$	−13.9665	−	17.1182i	−0.460463	−	0.564372i
$921$	53.6211	+	42.7614i	1.76687	+	1.40904i
$922$	34.2731	+	6.35293i	1.12873	+	0.209222i
$923$	−30.7202	−	14.7941i	−1.01117	−	0.486952i
$924$	8.48001	+	5.68967i	0.278972	+	0.187176i
$925$	0.0835099	+	0.741171i	0.00274579	+	0.0243696i
$926$	−9.67214	+	31.7753i	−0.317846	+	1.04420i
$927$	75.9451			2.49436
$928$	4.14177	−	30.1802i	0.135960	−	0.990714i
$929$	9.44203			0.309783			0.154892	−	0.987931i	$-0.450497\pi$
$929$	9.44203			0.309783			0.154892	+	0.987931i	$0.450497\pi$
$930$	16.1565	−	53.0780i	0.529793	−	1.74050i
$931$	0.101558	+	0.901351i	0.00332843	+	0.0295406i
$932$	−37.5381	−	25.1862i	−1.22960	−	0.825002i
$933$	15.3609	+	7.39741i	0.502893	+	0.242180i
$934$	44.7917	+	8.30268i	1.46563	+	0.271672i
$935$	−6.05489	−	4.82861i	−0.198016	−	0.157912i
$936$	−51.7101	−	63.3791i	−1.69020	−	2.07161i
$937$	11.6477	−	2.65852i	0.380515	−	0.0868500i	−0.0279852	−	0.999608i	$-0.508909\pi$
$937$	11.6477	−	2.65852i	0.380515	−	0.0868500i	0.408500	+	0.912758i	$0.366052\pi$
$938$	−2.55364	+	2.77277i	−0.0833793	+	0.0905343i
$939$	−49.6508	−	79.0187i	−1.62029	−	2.57868i
$940$	−12.4008	+	23.8919i	−0.404471	+	0.779268i
$941$	−0.725700	+	3.17950i	−0.0236571	+	0.103649i	−0.985378	−	0.170382i	$-0.945500\pi$
$941$	−0.725700	+	3.17950i	−0.0236571	+	0.103649i	0.961721	+	0.274031i	$0.0883570\pi$
$942$	−22.0001	+	15.1195i	−0.716802	+	0.492621i
$943$	−0.130375	+	0.372592i	−0.00424561	+	0.0121333i
$944$	12.2470	+	29.8899i	0.398605	+	0.972834i
$945$	31.0652	−	31.0652i	1.01055	−	1.01055i
$946$	−0.147252	+	2.06810i	−0.00478758	+	0.0672397i
$947$	27.8650	+	3.13963i	0.905491	+	0.102024i	0.552414	−	0.833570i	$-0.313707\pi$
$947$	27.8650	+	3.13963i	0.905491	+	0.102024i	0.353077	+	0.935594i	$0.385135\pi$
$948$	−0.943183	−	1.60594i	−0.0306331	−	0.0521586i
$949$	−28.1317	+	44.7713i	−0.913192	+	1.45334i
$950$	16.5390	−	4.49758i	0.536595	−	0.145921i
$951$	−21.9701	−	45.6213i	−0.712428	−	1.47937i
$952$	37.5950	−	38.4432i	1.21846	−	1.24595i
$953$	32.0632	+	40.2060i	1.03863	+	1.30240i	0.951980	+	0.306160i	$0.0990441\pi$
$953$	32.0632	+	40.2060i	1.03863	+	1.30240i	0.0866481	+	0.996239i	$0.472384\pi$
$954$	0.145866	+	0.0834944i	0.00472260	+	0.00270323i
$955$	−8.51422	−	24.3322i	−0.275514	−	0.787373i
$956$	16.9829	+	53.6379i	0.549267	+	1.73477i
$957$	4.41140	+	9.28769i	0.142600	+	0.300228i
$958$	−5.37252	−	3.93433i	−0.173578	−	0.127112i
$959$	11.9783	+	34.2320i	0.386800	+	1.10541i
$960$	−35.8412	−	21.4206i	−1.15677	−	0.691346i
$961$	−19.9375	+	15.8996i	−0.643144	+	0.512891i
$962$	1.15472	+	2.16532i	0.0372298	+	0.0698127i
$963$	−24.6974	−	51.2848i	−0.795864	−	1.65263i
$964$	−3.08576	−	1.18467i	−0.0993855	−	0.0381555i
$965$	31.3005	+	19.6674i	1.00760	+	0.633115i
$966$	−20.5275	+	47.5308i	−0.660460	+	1.52928i
$967$	−23.9778	−	2.70165i	−0.771074	−	0.0868792i	−0.282343	−	0.959314i	$-0.591112\pi$
$967$	−23.9778	−	2.70165i	−0.771074	−	0.0868792i	−0.488731	+	0.872434i	$0.662540\pi$
$968$	−6.99805	−	29.1575i	−0.224926	−	0.937156i
$969$	−91.1252	−	91.1252i	−2.92736	−	2.92736i
$970$	1.41174	+	1.62819i	0.0453282	+	0.0522780i
$971$	−12.5473	+	35.8582i	−0.402662	+	1.15074i	0.546909	+	0.837192i	$0.315804\pi$
$971$	−12.5473	+	35.8582i	−0.402662	+	1.15074i	−0.949571	+	0.313551i	$0.898481\pi$
$972$	0.164463	−	5.48705i	0.00527514	−	0.175997i
$973$	−11.6410	−	2.65698i	−0.373193	−	0.0851790i
$974$	12.5947	−	1.94626i	0.403559	−	0.0623622i
$975$	15.3064	+	24.3599i	0.490196	+	0.780142i
$976$	5.08126	+	9.27756i	0.162647	+	0.296967i
$977$	4.20205	+	18.4104i	0.134435	+	0.589000i	0.996601	+	0.0823742i	$0.0262503\pi$
$977$	4.20205	+	18.4104i	0.134435	+	0.589000i	−0.862166	+	0.506626i	$0.830893\pi$
$978$	−6.51072	+	2.58325i	−0.208190	+	0.0826031i
$979$	−2.77022	−	2.20918i	−0.0885366	−	0.0706056i
$980$	−0.380228	+	0.358098i	−0.0121459	+	0.0114390i
$981$	54.7943	−	113.782i	1.74945	−	3.63277i
$982$	−16.2585	+	0.668892i	−0.518829	+	0.0213452i
$983$	−5.34681	−	47.4543i	−0.170537	−	1.51356i	−0.729280	−	0.684215i	$-0.760145\pi$
$983$	−5.34681	−	47.4543i	−0.170537	−	1.51356i	0.558743	−	0.829341i	$-0.311284\pi$
$984$	0.00832124	+	0.745997i	0.000265271	+	0.0237815i
$985$		−	33.1184i		−	1.05524i
$986$	52.3185	−	13.9259i	1.66616	−	0.443491i
$987$	63.0825			2.00794
$988$	45.1221	−	33.8228i	1.43553	−	1.07605i
$989$	−10.4457	+	1.17694i	−0.332153	+	0.0374246i
$990$	9.46330	−	0.389331i	0.300763	−	0.0123737i
$991$	19.9035	+	9.58504i	0.632257	+	0.304479i	0.722427	−	0.691448i	$-0.243027\pi$
$991$	19.9035	+	9.58504i	0.632257	+	0.304479i	−0.0901699	+	0.995926i	$0.528741\pi$
$992$	17.7253	+	38.6503i	0.562780	+	1.22715i
$993$	−1.89433	+	2.37541i	−0.0601146	+	0.0753813i
$994$	10.1094	+	25.4793i	0.320650	+	0.808154i
$995$	4.49797	−	1.02663i	0.142595	−	0.0325465i
$996$	23.3692	−	4.60194i	0.740481	−	0.145818i
$997$	−15.0726	+	9.47075i	−0.477355	+	0.299942i	−0.749135	−	0.662418i	$-0.769530\pi$
$997$	−15.0726	+	9.47075i	−0.477355	+	0.299942i	0.271780	+	0.962359i	$0.412388\pi$
$998$	−44.8317	+	6.92786i	−1.41912	+	0.219298i
$999$	−0.781400	+	3.42354i	−0.0247224	+	0.108316i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.v.a.11.13	yes	336
4.3	odd	2		928.2.bn.a.591.3		336
8.3	odd	2	inner	232.2.v.a.11.6	✓	336
8.5	even	2		928.2.bn.a.591.4		336
29.8	odd	28	inner	232.2.v.a.211.6	yes	336
116.95	even	28		928.2.bn.a.559.4		336
232.37	odd	28		928.2.bn.a.559.3		336
232.211	even	28	inner	232.2.v.a.211.13	yes	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.v.a.11.6	✓	336	8.3	odd	2	inner
232.2.v.a.11.13	yes	336	1.1	even	1	trivial
232.2.v.a.211.6	yes	336	29.8	odd	28	inner
232.2.v.a.211.13	yes	336	232.211	even	28	inner
928.2.bn.a.559.3		336	232.37	odd	28
928.2.bn.a.559.4		336	116.95	even	28
928.2.bn.a.591.3		336	4.3	odd	2
928.2.bn.a.591.4		336	8.5	even	2

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:	\( N \)	\(=\)	\( 232 = 2^{3} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	232.v (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.411819 + 1.35292i) q^{2} +(0.338637 + 3.00549i) q^{3} +(-1.66081 - 1.11432i) q^{4} +(-1.55478 - 0.748742i) q^{5} +(-4.20565 - 0.779567i) q^{6} +(-2.09077 - 1.66734i) q^{7} +(2.19155 - 1.78805i) q^{8} +(-5.99349 + 1.36797i) q^{9} +O(q^{10})\)	\(q+(-0.411819 + 1.35292i) q^{2} +(0.338637 + 3.00549i) q^{3} +(-1.66081 - 1.11432i) q^{4} +(-1.55478 - 0.748742i) q^{5} +(-4.20565 - 0.779567i) q^{6} +(-2.09077 - 1.66734i) q^{7} +(2.19155 - 1.78805i) q^{8} +(-5.99349 + 1.36797i) q^{9} +(1.65328 - 1.79515i) q^{10} +(-0.335866 - 0.534528i) q^{11} +(2.78667 - 5.36889i) q^{12} +(-1.04679 + 4.58629i) q^{13} +(3.11680 - 2.14202i) q^{14} +(1.72383 - 4.92642i) q^{15} +(1.51658 + 3.70135i) q^{16} +(-5.02678 + 5.02678i) q^{17} +(0.617468 - 8.67209i) q^{18} +(5.95600 + 0.671080i) q^{19} +(1.74785 + 2.97604i) q^{20} +(4.30314 - 6.84841i) q^{21} +(0.861493 - 0.234273i) q^{22} +(1.96392 + 4.07812i) q^{23} +(6.11610 + 5.98116i) q^{24} +(-1.26073 - 1.58090i) q^{25} +(-5.77381 - 3.30495i) q^{26} +(-3.14425 - 8.98575i) q^{27} +(1.61443 + 5.09892i) q^{28} +(-1.22650 + 5.24363i) q^{29} +(5.95517 + 4.36100i) q^{30} +(-2.48261 - 7.09490i) q^{31} +(-5.63220 + 0.527526i) q^{32} +(1.49278 - 1.19045i) q^{33} +(-4.73073 - 8.87099i) q^{34} +(2.00228 + 4.15779i) q^{35} +(11.4784 + 4.40672i) q^{36} +(-0.312326 - 0.196248i) q^{37} +(-3.36072 + 7.78166i) q^{38} +(-14.1385 - 1.59303i) q^{39} +(-4.74616 + 1.13912i) q^{40} +(0.0616666 + 0.0616666i) q^{41} +(7.49326 + 8.64213i) q^{42} +(-0.767020 + 2.19202i) q^{43} +(-0.0378261 + 1.26201i) q^{44} +(10.3428 + 2.36068i) q^{45} +(-6.32616 + 0.977584i) q^{46} +(4.14953 + 6.60395i) q^{47} +(-10.6108 + 5.81146i) q^{48} +(0.0336752 + 0.147541i) q^{49} +(2.65803 - 1.05462i) q^{50} +(-16.8102 - 13.4057i) q^{51} +(6.84912 - 6.45049i) q^{52} +(-0.00838779 + 0.0174174i) q^{53} +(13.4519 - 0.553427i) q^{54} +(0.121974 + 1.08255i) q^{55} +(-7.56330 + 0.0843650i) q^{56} +18.1279i q^{57} +(-6.58914 - 3.81880i) q^{58} +8.07541 q^{59} +(-8.35256 + 6.26094i) q^{60} +(2.62785 - 0.296088i) q^{61} +(10.6213 - 0.436970i) q^{62} +(14.8119 + 7.13303i) q^{63} +(1.60575 - 7.83719i) q^{64} +(5.06147 - 6.34689i) q^{65} +(0.995837 + 2.50987i) q^{66} +(-0.971742 + 0.221794i) q^{67} +(13.9500 - 2.74708i) q^{68} +(-11.5917 + 7.28353i) q^{69} +(-6.44975 + 0.996683i) q^{70} +(-1.61286 + 7.06639i) q^{71} +(-10.6890 + 13.7146i) q^{72} +(10.6093 + 3.71236i) q^{73} +(0.394130 - 0.341735i) q^{74} +(4.32445 - 4.32445i) q^{75} +(-9.14398 - 7.75143i) q^{76} +(-0.189018 + 1.67758i) q^{77} +(7.97776 - 18.4723i) q^{78} +(0.163807 - 0.260698i) q^{79} +(0.413416 - 6.89031i) q^{80} +(9.32536 - 4.49085i) q^{81} +(-0.108826 + 0.0580347i) q^{82} +(2.45499 + 3.07846i) q^{83} +(-14.7780 + 6.57882i) q^{84} +(11.5793 - 4.05177i) q^{85} +(-2.64976 - 1.94043i) q^{86} +(-16.1750 - 1.91055i) q^{87} +(-1.69183 - 0.570897i) q^{88} +(5.29774 - 1.85376i) q^{89} +(-7.45319 + 13.0209i) q^{90} +(9.83548 - 7.84353i) q^{91} +(1.28264 - 8.96141i) q^{92} +(20.4829 - 9.86405i) q^{93} +(-10.6435 + 2.89437i) q^{94} +(-8.75780 - 5.50289i) q^{95} +(-3.49274 - 16.7489i) q^{96} +(-0.0988673 + 0.877472i) q^{97} +(-0.213480 - 0.0152001i) q^{98} +(2.74423 + 2.74423i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9}+O(q^{10}) \) 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9	\( 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9} - 8 q^{10} - 32 q^{11} - 24 q^{12} - 14 q^{14} + 10 q^{16} - 28 q^{17} - 20 q^{18} - 24 q^{19} + 6 q^{20} - 14 q^{22} + 2 q^{24} - 52 q^{25} + 8 q^{26} - 60 q^{27} - 8 q^{30} - 4 q^{32} - 28 q^{33} - 14 q^{34} - 28 q^{35} - 38 q^{36} - 14 q^{38} - 20 q^{41} - 14 q^{42} - 16 q^{43} + 42 q^{44} - 56 q^{46} + 32 q^{48} + 12 q^{49} - 78 q^{50} - 28 q^{51} + 74 q^{52} - 124 q^{54} + 36 q^{56} - 158 q^{58} - 48 q^{59} + 200 q^{60} - 112 q^{62} + 112 q^{64} + 20 q^{65} - 136 q^{66} - 28 q^{67} + 60 q^{68} - 182 q^{70} + 48 q^{72} - 4 q^{73} - 16 q^{74} + 64 q^{75} - 10 q^{76} + 50 q^{78} - 14 q^{80} - 28 q^{81} + 10 q^{82} - 20 q^{83} - 36 q^{84} - 80 q^{88} - 28 q^{89} - 28 q^{90} - 28 q^{91} - 14 q^{92} - 106 q^{94} + 28 q^{96} - 32 q^{97} + 12 q^{98} - 32 q^{99}+O(q^{100}) \) 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9 - 8 * q^10 - 32 * q^11 - 24 * q^12 - 14 * q^14 + 10 * q^16 - 28 * q^17 - 20 * q^18 - 24 * q^19 + 6 * q^20 - 14 * q^22 + 2 * q^24 - 52 * q^25 + 8 * q^26 - 60 * q^27 - 8 * q^30 - 4 * q^32 - 28 * q^33 - 14 * q^34 - 28 * q^35 - 38 * q^36 - 14 * q^38 - 20 * q^41 - 14 * q^42 - 16 * q^43 + 42 * q^44 - 56 * q^46 + 32 * q^48 + 12 * q^49 - 78 * q^50 - 28 * q^51 + 74 * q^52 - 124 * q^54 + 36 * q^56 - 158 * q^58 - 48 * q^59 + 200 * q^60 - 112 * q^62 + 112 * q^64 + 20 * q^65 - 136 * q^66 - 28 * q^67 + 60 * q^68 - 182 * q^70 + 48 * q^72 - 4 * q^73 - 16 * q^74 + 64 * q^75 - 10 * q^76 + 50 * q^78 - 14 * q^80 - 28 * q^81 + 10 * q^82 - 20 * q^83 - 36 * q^84 - 80 * q^88 - 28 * q^89 - 28 * q^90 - 28 * q^91 - 14 * q^92 - 106 * q^94 + 28 * q^96 - 32 * q^97 + 12 * q^98 - 32 * q^99

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