LMFDB - Embedded newform 930.2.bo.a.179.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(179,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 15, 13]))

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

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

chi := DirichletCharacter("930.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bo (of order $30$, degree $8$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			179.20
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.a.239.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(0.608421 - 1.62167i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.879797 - 2.05571i) q^{5} +(1.73032 + 0.0775177i) q^{6} +(-1.34591 + 3.02296i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.25965 - 1.97332i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(0.608421 - 1.62167i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.879797 - 2.05571i) q^{5} +(1.73032 + 0.0775177i) q^{6} +(-1.34591 + 3.02296i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.25965 - 1.97332i) q^{9} +(2.22697 + 0.201486i) q^{10} +(-0.120688 - 1.14827i) q^{11} +(0.460973 + 1.66958i) q^{12} +(-4.21467 - 4.68087i) q^{13} +(-3.29092 - 0.345889i) q^{14} +(-2.79841 - 2.67748i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-3.08976 - 0.324747i) q^{17} +(1.17847 - 2.75884i) q^{18} +(2.82222 - 3.13439i) q^{19} +(0.496548 + 2.18024i) q^{20} +(4.08338 + 4.02186i) q^{21} +(1.05477 - 0.469615i) q^{22} +(3.96193 - 5.45313i) q^{23} +(-1.44542 + 0.954341i) q^{24} +(-3.45192 - 3.61722i) q^{25} +(3.14936 - 5.45486i) q^{26} +(-4.57490 + 2.46380i) q^{27} +(-0.687989 - 3.23673i) q^{28} +(1.70589 + 5.25019i) q^{29} +(1.68168 - 3.48883i) q^{30} +(-5.21092 + 1.96120i) q^{31} +1.00000 q^{32} +(-1.93554 - 0.502914i) q^{33} +(-0.645936 - 3.03889i) q^{34} +(5.03022 + 5.42639i) q^{35} +(2.98798 + 0.268260i) q^{36} +(-0.0241547 - 0.0418371i) q^{37} +(3.85310 + 1.71551i) q^{38} +(-10.1551 + 3.98688i) q^{39} +(-1.92009 + 1.14598i) q^{40} +(-0.141204 + 0.664315i) q^{41} +(-2.56318 + 5.12634i) q^{42} +(1.07932 - 1.19870i) q^{43} +(0.772574 + 0.858030i) q^{44} +(-6.04461 + 2.90907i) q^{45} +(6.41054 + 2.08291i) q^{46} +(3.17476 - 9.77091i) q^{47} +(-1.35429 - 1.07977i) q^{48} +(-2.64291 - 2.93525i) q^{49} +(2.37348 - 4.40075i) q^{50} +(-2.40651 + 4.81300i) q^{51} +(6.16108 + 1.30958i) q^{52} +(-3.83443 - 8.61227i) q^{53} +(-3.75694 - 3.58963i) q^{54} +(-2.46669 - 0.762143i) q^{55} +(2.86572 - 1.65452i) q^{56} +(-3.36587 - 6.48375i) q^{57} +(-4.46608 + 3.24480i) q^{58} +(1.32774 + 6.24654i) q^{59} +(3.83774 + 0.521264i) q^{60} +6.48797i q^{61} +(-3.47548 - 4.34983i) q^{62} +(9.00655 - 4.17492i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-13.3306 + 4.54594i) q^{65} +(-0.119817 - 1.99622i) q^{66} +(-3.45989 - 1.99757i) q^{67} +(2.69055 - 1.55339i) q^{68} +(-6.43268 - 9.74276i) q^{69} +(-3.60639 + 6.46087i) q^{70} +(-3.11955 - 7.00663i) q^{71} +(0.668207 + 2.92464i) q^{72} +(-1.14143 - 10.8600i) q^{73} +(0.0323253 - 0.0359008i) q^{74} +(-7.96617 + 3.39709i) q^{75} +(-0.440874 + 4.19464i) q^{76} +(3.63360 + 1.18063i) q^{77} +(-6.92986 - 8.42608i) q^{78} +(10.5402 + 1.10782i) q^{79} +(-1.68323 - 1.47199i) q^{80} +(1.21203 + 8.91801i) q^{81} +(-0.675435 + 0.0709911i) q^{82} +(-1.04037 + 4.89454i) q^{83} +(-5.66751 - 0.853601i) q^{84} +(-3.38595 + 6.06595i) q^{85} +(1.47356 + 0.656071i) q^{86} +(9.55199 + 0.427927i) q^{87} +(-0.577297 + 0.999907i) q^{88} +(9.81568 - 7.13151i) q^{89} +(-4.63458 - 4.84981i) q^{90} +(19.8226 - 6.44076i) q^{91} +6.74044i q^{92} +(0.0100028 + 9.64365i) q^{93} +10.2737 q^{94} +(-3.96044 - 8.55931i) q^{95} +(0.608421 - 1.62167i) q^{96} +(10.2337 + 14.0855i) q^{97} +(1.97488 - 3.42060i) q^{98} +(-1.99319 + 2.83284i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9}+O(q^{10}) $ 256 * q - 64 * q^2 - 64 * q^4 - 2 * q^5 - 64 * q^8 + 4 * q^9	$ 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9} - 2 q^{10} + 20 q^{15} - 64 q^{16} - 6 q^{17} - 6 q^{18} - 4 q^{19} + 3 q^{20} + 20 q^{23} - 2 q^{25} + 42 q^{31} + 256 q^{32} + 8 q^{33} + 14 q^{34} - 16 q^{35} + 4 q^{36} + 36 q^{38} + 8 q^{39} + 3 q^{40} - 79 q^{45} - 10 q^{46} - 6 q^{47} - 40 q^{49} - 7 q^{50} + 68 q^{51} - 34 q^{53} - 6 q^{57} - 20 q^{60} + 2 q^{62} - 72 q^{63} - 64 q^{64} + 8 q^{66} - 6 q^{68} + 10 q^{69} - 16 q^{70} - 6 q^{72} - 2 q^{75} - 24 q^{76} + 100 q^{77} + 8 q^{78} + 40 q^{79} - 2 q^{80} + 12 q^{81} - 26 q^{83} - 30 q^{85} + 16 q^{87} - 49 q^{90} - 20 q^{91} - 22 q^{93} + 4 q^{94} + 56 q^{95} + 130 q^{98} + 102 q^{99}+O(q^{100}) $ 256 * q - 64 * q^2 - 64 * q^4 - 2 * q^5 - 64 * q^8 + 4 * q^9 - 2 * q^10 + 20 * q^15 - 64 * q^16 - 6 * q^17 - 6 * q^18 - 4 * q^19 + 3 * q^20 + 20 * q^23 - 2 * q^25 + 42 * q^31 + 256 * q^32 + 8 * q^33 + 14 * q^34 - 16 * q^35 + 4 * q^36 + 36 * q^38 + 8 * q^39 + 3 * q^40 - 79 * q^45 - 10 * q^46 - 6 * q^47 - 40 * q^49 - 7 * q^50 + 68 * q^51 - 34 * q^53 - 6 * q^57 - 20 * q^60 + 2 * q^62 - 72 * q^63 - 64 * q^64 + 8 * q^66 - 6 * q^68 + 10 * q^69 - 16 * q^70 - 6 * q^72 - 2 * q^75 - 24 * q^76 + 100 * q^77 + 8 * q^78 + 40 * q^79 - 2 * q^80 + 12 * q^81 - 26 * q^83 - 30 * q^85 + 16 * q^87 - 49 * q^90 - 20 * q^91 - 22 * q^93 + 4 * q^94 + 56 * q^95 + 130 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{30}\right)$

Coefficient data

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

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

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

$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$3$	0.608421	−	1.62167i	0.351272	−	0.936274i
$3$	0.608421	−	1.62167i	0.351272	−	0.936274i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	0.879797	−	2.05571i	0.393457	−	0.919343i
$5$	0.879797	−	2.05571i	0.393457	−	0.919343i
$6$	1.73032	+	0.0775177i	0.706398	+	0.0316465i
$7$	−1.34591	+	3.02296i	−0.508706	+	1.14257i	0.458527	+	0.888680i	$0.348377\pi$
$7$	−1.34591	+	3.02296i	−0.508706	+	1.14257i	−0.967233	+	0.253891i	$0.918289\pi$
$8$	−0.809017	−	0.587785i	−0.286031	−	0.207813i
$9$	−2.25965	−	1.97332i	−0.753216	−	0.657773i
$10$	2.22697	+	0.201486i	0.704230	+	0.0637155i
$11$	−0.120688	−	1.14827i	−0.0363888	−	0.346216i	−0.997535	−	0.0701751i	$-0.977644\pi$
$11$	−0.120688	−	1.14827i	−0.0363888	−	0.346216i	0.961146	−	0.276041i	$-0.0890225\pi$
$12$	0.460973	+	1.66958i	0.133071	+	0.481967i
$13$	−4.21467	−	4.68087i	−1.16894	−	1.29824i	−0.946282	−	0.323342i	$-0.895194\pi$
$13$	−4.21467	−	4.68087i	−1.16894	−	1.29824i	−0.222657	−	0.974897i	$-0.571473\pi$
$14$	−3.29092	−	0.345889i	−0.879534	−	0.0924428i
$15$	−2.79841	−	2.67748i	−0.722546	−	0.691323i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−3.08976	−	0.324747i	−0.749377	−	0.0787627i	−0.277862	−	0.960621i	$-0.589626\pi$
$17$	−3.08976	−	0.324747i	−0.749377	−	0.0787627i	−0.471515	+	0.881858i	$0.656293\pi$
$18$	1.17847	−	2.75884i	0.277767	−	0.650266i
$19$	2.82222	−	3.13439i	0.647462	−	0.719079i	−0.326650	−	0.945145i	$-0.605920\pi$
$19$	2.82222	−	3.13439i	0.647462	−	0.719079i	0.974112	+	0.226066i	$0.0725865\pi$
$20$	0.496548	+	2.18024i	0.111031	+	0.487516i
$21$	4.08338	+	4.02186i	0.891066	+	0.877641i
$22$	1.05477	−	0.469615i	0.224878	−	0.100122i
$23$	3.96193	−	5.45313i	0.826120	−	1.13706i	−0.162513	−	0.986706i	$-0.551960\pi$
$23$	3.96193	−	5.45313i	0.826120	−	1.13706i	0.988633	−	0.150350i	$-0.0480402\pi$
$24$	−1.44542	+	0.954341i	−0.295045	+	0.194804i
$25$	−3.45192	−	3.61722i	−0.690383	−	0.723444i
$26$	3.14936	−	5.45486i	0.617641	−	1.06979i
$27$	−4.57490	+	2.46380i	−0.880439	+	0.474159i
$28$	−0.687989	−	3.23673i	−0.130018	−	0.611685i
$29$	1.70589	+	5.25019i	0.316776	+	0.974936i	0.975017	+	0.222129i	$0.0713006\pi$
$29$	1.70589	+	5.25019i	0.316776	+	0.974936i	−0.658241	+	0.752807i	$0.728699\pi$
$30$	1.68168	−	3.48883i	0.307031	−	0.636971i
$31$	−5.21092	+	1.96120i	−0.935909	+	0.352243i
$31$	−5.21092	+	1.96120i	−0.935909	+	0.352243i
$32$	1.00000			0.176777
$33$	−1.93554	−	0.502914i	−0.336935	−	0.0875460i
$34$	−0.645936	−	3.03889i	−0.110777	−	0.521165i
$35$	5.03022	+	5.42639i	0.850262	+	0.917228i
$36$	2.98798	+	0.268260i	0.497997	+	0.0447100i
$37$	−0.0241547	−	0.0418371i	−0.00397100	−	0.00687798i	0.864033	−	0.503435i	$-0.167931\pi$
$37$	−0.0241547	−	0.0418371i	−0.00397100	−	0.00687798i	−0.868004	+	0.496557i	$0.834597\pi$
$38$	3.85310	+	1.71551i	0.625056	+	0.278293i
$39$	−10.1551	+	3.98688i	−1.62612	+	0.638412i
$40$	−1.92009	+	1.14598i	−0.303593	+	0.181195i
$41$	−0.141204	+	0.664315i	−0.0220524	+	0.103749i	−0.987797	−	0.155745i	$-0.950222\pi$
$41$	−0.141204	+	0.664315i	−0.0220524	+	0.103749i	0.965745	+	0.259493i	$0.0835556\pi$
$42$	−2.56318	+	5.12634i	−0.395507	+	0.791012i
$43$	1.07932	−	1.19870i	0.164594	−	0.182800i	−0.655206	−	0.755451i	$-0.727418\pi$
$43$	1.07932	−	1.19870i	0.164594	−	0.182800i	0.819800	+	0.572650i	$0.194085\pi$
$44$	0.772574	+	0.858030i	0.116470	+	0.129353i
$45$	−6.04461	+	2.90907i	−0.901077	+	0.433659i
$46$	6.41054	+	2.08291i	0.945183	+	0.307109i
$47$	3.17476	−	9.77091i	0.463087	−	1.42523i	−0.398286	−	0.917261i	$-0.630395\pi$
$47$	3.17476	−	9.77091i	0.463087	−	1.42523i	0.861373	−	0.507973i	$-0.169605\pi$
$48$	−1.35429	−	1.07977i	−0.195475	−	0.155851i
$49$	−2.64291	−	2.93525i	−0.377558	−	0.419321i
$50$	2.37348	−	4.40075i	0.335661	−	0.622360i
$51$	−2.40651	+	4.81300i	−0.336978	+	0.673955i
$52$	6.16108	+	1.30958i	0.854389	+	0.181606i
$53$	−3.83443	−	8.61227i	−0.526700	−	1.18299i	−0.959554	−	0.281523i	$-0.909160\pi$
$53$	−3.83443	−	8.61227i	−0.526700	−	1.18299i	0.432855	−	0.901464i	$-0.357506\pi$
$54$	−3.75694	−	3.58963i	−0.511255	−	0.488486i
$55$	−2.46669	−	0.762143i	−0.332609	−	0.102767i
$56$	2.86572	−	1.65452i	0.382947	−	0.221095i
$57$	−3.36587	−	6.48375i	−0.445820	−	0.858794i
$58$	−4.46608	+	3.24480i	−0.586425	+	0.426063i
$59$	1.32774	+	6.24654i	0.172858	+	0.813231i	0.976056	+	0.217519i	$0.0697965\pi$
$59$	1.32774	+	6.24654i	0.172858	+	0.813231i	−0.803199	+	0.595711i	$0.796870\pi$
$60$	3.83774	+	0.521264i	0.495451	+	0.0672949i
$61$			6.48797i			0.830700i	0.909662	+	0.415350i	$0.136341\pi$
$61$			6.48797i			0.830700i	−0.909662	+	0.415350i	$0.863659\pi$
$62$	−3.47548	−	4.34983i	−0.441386	−	0.552429i
$63$	9.00655	−	4.17492i	1.13472	−	0.525991i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−13.3306	+	4.54594i	−1.65345	+	0.563855i
$66$	−0.119817	−	1.99622i	−0.0147484	−	0.245718i
$67$	−3.45989	−	1.99757i	−0.422693	−	0.244042i	0.273536	−	0.961862i	$-0.411807\pi$
$67$	−3.45989	−	1.99757i	−0.422693	−	0.244042i	−0.696229	+	0.717820i	$0.745140\pi$
$68$	2.69055	−	1.55339i	0.326277	−	0.188376i
$69$	−6.43268	−	9.74276i	−0.774404	−	1.17289i
$70$	−3.60639	+	6.46087i	−0.431046	+	0.772221i
$71$	−3.11955	−	7.00663i	−0.370223	−	0.831534i	−0.998563	−	0.0535950i	$-0.982932\pi$
$71$	−3.11955	−	7.00663i	−0.370223	−	0.831534i	0.628340	−	0.777939i	$-0.283735\pi$
$72$	0.668207	+	2.92464i	0.0787489	+	0.344672i
$73$	−1.14143	−	10.8600i	−0.133594	−	1.27106i	−0.831764	−	0.555130i	$-0.812669\pi$
$73$	−1.14143	−	10.8600i	−0.133594	−	1.27106i	0.698170	−	0.715932i	$-0.253998\pi$
$74$	0.0323253	−	0.0359008i	0.00375774	−	0.00417339i
$75$	−7.96617	+	3.39709i	−0.919854	+	0.392262i
$76$	−0.440874	+	4.19464i	−0.0505718	+	0.481158i
$77$	3.63360	+	1.18063i	0.414088	+	0.134545i
$78$	−6.92986	−	8.42608i	−0.784652	−	0.954066i
$79$	10.5402	+	1.10782i	1.18587	+	0.124640i	0.676854	−	0.736117i	$-0.263343\pi$
$79$	10.5402	+	1.10782i	1.18587	+	0.124640i	0.509016	+	0.860757i	$0.330010\pi$
$80$	−1.68323	−	1.47199i	−0.188191	−	0.164573i
$81$	1.21203	+	8.91801i	0.134670	+	0.990891i
$82$	−0.675435	+	0.0709911i	−0.0745894	+	0.00783966i
$83$	−1.04037	+	4.89454i	−0.114195	+	0.537245i	0.883442	+	0.468541i	$0.155220\pi$
$83$	−1.04037	+	4.89454i	−0.114195	+	0.537245i	−0.997637	+	0.0687049i	$0.978113\pi$
$84$	−5.66751	−	0.853601i	−0.618376	−	0.0931355i
$85$	−3.38595	+	6.06595i	−0.367258	+	0.657945i
$86$	1.47356	+	0.656071i	0.158898	+	0.0707460i
$87$	9.55199	+	0.427927i	1.02408	+	0.0458786i
$88$	−0.577297	+	0.999907i	−0.0615400	+	0.106590i
$89$	9.81568	−	7.13151i	1.04046	−	0.755938i	0.0700845	−	0.997541i	$-0.477673\pi$
$89$	9.81568	−	7.13151i	1.04046	−	0.755938i	0.970375	+	0.241603i	$0.0776731\pi$
$90$	−4.63458	−	4.84981i	−0.488527	−	0.511215i
$91$	19.8226	−	6.44076i	2.07798	−	0.675176i
$92$			6.74044i			0.702740i
$93$	0.0100028	+	9.64365i	0.00103724	+	0.999999i
$94$	10.2737			1.05966
$95$	−3.96044	−	8.55931i	−0.406332	−	0.878167i
$96$	0.608421	−	1.62167i	0.0620967	−	0.165511i
$97$	10.2337	+	14.0855i	1.03908	+	1.43017i	0.897909	+	0.440182i	$0.145086\pi$
$97$	10.2337	+	14.0855i	1.03908	+	1.43017i	0.141168	+	0.989986i	$0.454914\pi$
$98$	1.97488	−	3.42060i	0.199493	−	0.345532i
$99$	−1.99319	+	2.83284i	−0.200323	+	0.284711i
$100$	4.91881	+	0.897407i	0.491881	+	0.0897407i
$101$	−6.81289	+	9.37713i	−0.677907	+	0.933060i	−0.999906	−	0.0136804i	$-0.995645\pi$
$101$	−6.81289	+	9.37713i	−0.677907	+	0.933060i	0.321999	+	0.946740i	$0.395645\pi$
$102$	−5.32109	−	0.801426i	−0.526866	−	0.0793530i
$103$	−2.60060	+	12.2349i	−0.256245	+	1.20554i	0.642230	+	0.766512i	$0.278009\pi$
$103$	−2.60060	+	12.2349i	−0.256245	+	1.20554i	−0.898475	+	0.439025i	$0.855324\pi$
$104$	0.658396	+	6.26422i	0.0645611	+	0.614257i
$105$	11.8603	−	4.85584i	1.15745	−	0.473881i
$106$	7.00586	−	6.30810i	0.680469	−	0.612697i
$107$	0.497913	−	4.73733i	0.0481351	−	0.457975i	−0.943733	−	0.330707i	$-0.892713\pi$
$107$	0.497913	−	4.73733i	0.0481351	−	0.457975i	0.991868	−	0.127267i	$-0.0406206\pi$
$108$	2.25298	−	4.68232i	0.216793	−	0.450556i
$109$	−2.14786	+	6.61043i	−0.205728	+	0.633164i	0.793955	+	0.607976i	$0.208018\pi$
$109$	−2.14786	+	6.61043i	−0.205728	+	0.633164i	−0.999683	+	0.0251880i	$0.991982\pi$
$110$	−0.0374084	−	2.58148i	−0.00356676	−	0.246134i
$111$	−0.0825424	+	0.0137164i	−0.00783457	+	0.00130191i
$112$	2.45910	+	2.21418i	0.232363	+	0.209221i
$113$	−0.118024	−	1.12293i	−0.0111028	−	0.105636i	0.987567	−	0.157199i	$-0.0502464\pi$
$113$	−0.118024	−	1.12293i	−0.0111028	−	0.105636i	−0.998670	+	0.0515629i	$0.983580\pi$
$114$	5.12630	−	5.20472i	0.480122	−	0.487467i
$115$	−7.72438	−	12.9422i	−0.720303	−	1.20687i
$116$	−4.46608	−	3.24480i	−0.414665	−	0.301272i
$117$	0.286836	+	18.8940i	0.0265180	+	1.74675i
$118$	−5.53052	+	3.19305i	−0.509126	+	0.293944i
$119$	5.14023	−	8.90315i	0.471205	−	0.816150i
$120$	0.690177	+	3.81099i	0.0630042	+	0.347894i
$121$	9.45567	−	2.00986i	0.859606	−	0.182715i
$122$	−6.17043	+	2.00489i	−0.558644	+	0.181515i
$123$	0.991390	+	0.633170i	0.0893906	+	0.0570910i
$124$	3.06296	−	4.64955i	0.275061	−	0.417542i
$125$	−10.4730	+	3.91373i	−0.936729	+	0.350055i
$126$	6.75376	+	7.27561i	0.601673	+	0.648163i
$127$	0.310131	−	0.0659204i	0.0275197	−	0.00584949i	−0.194131	−	0.980976i	$-0.562189\pi$
$127$	0.310131	−	0.0659204i	0.0275197	−	0.00584949i	0.221651	+	0.975126i	$0.428855\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	−1.28723	−	2.47961i	−0.113334	−	0.218318i
$130$	−8.44282	−	11.2734i	−0.740485	−	0.988738i
$131$	9.13985	−	20.5284i	0.798552	−	1.79358i	0.225107	−	0.974334i	$-0.427727\pi$
$131$	9.13985	−	20.5284i	0.798552	−	1.79358i	0.573445	−	0.819244i	$-0.305606\pi$
$132$	1.86149	−	0.730819i	0.162022	−	0.0636096i
$133$	5.67670	+	12.7501i	0.492232	+	1.10557i
$134$	0.830636	−	3.90784i	0.0717561	−	0.337586i
$135$	1.03990	+	11.5723i	0.0895003	+	0.995987i
$136$	2.30879	+	2.07884i	0.197977	+	0.178259i
$137$	6.91143	−	6.22308i	0.590483	−	0.531674i	−0.318816	−	0.947817i	$-0.603285\pi$
$137$	6.91143	−	6.22308i	0.590483	−	0.531674i	0.909299	+	0.416143i	$0.136618\pi$
$138$	7.27811	−	9.12852i	0.619554	−	0.777071i
$139$	−3.50689	−	1.13946i	−0.297450	−	0.0966474i	0.156490	−	0.987680i	$-0.449982\pi$
$139$	−3.50689	−	1.13946i	−0.297450	−	0.0966474i	−0.453940	+	0.891032i	$0.649982\pi$
$140$	−7.25908	−	1.43336i	−0.613505	−	0.121141i
$141$	−13.9136	−	11.0933i	−1.17174	−	0.934220i
$142$	5.69971	−	5.13204i	0.478309	−	0.430671i
$143$	−4.86623	+	5.40450i	−0.406935	+	0.451947i
$144$	−2.57501	+	1.53926i	−0.214584	+	0.128272i
$145$	12.2937	+	1.11228i	1.02094	+	0.0923697i
$146$	9.97571	−	4.44147i	0.825596	−	0.367579i
$147$	−6.36801	+	2.50007i	−0.525225	+	0.206202i
$148$	0.0441328	+	0.0196492i	0.00362769	+	0.00161515i
$149$	4.71645	−	2.72304i	0.386387	−	0.223080i	−0.294207	−	0.955742i	$-0.595055\pi$
$149$	4.71645	−	2.72304i	0.386387	−	0.223080i	0.680593	+	0.732661i	$0.261722\pi$
$150$	−5.69250	−	6.52652i	−0.464791	−	0.532888i
$151$	8.76763	+	12.0676i	0.713500	+	0.982048i	0.999715	+	0.0238827i	$0.00760283\pi$
$151$	8.76763	+	12.0676i	0.713500	+	0.982048i	−0.286215	+	0.958165i	$0.592397\pi$
$152$	−4.12558	+	0.876918i	−0.334628	+	0.0711275i
$153$	6.34095	+	6.83090i	0.512635	+	0.552245i
$154$			3.82060i			0.307873i
$155$	−0.552875	+	12.4376i	−0.0444080	+	0.999013i
$156$	5.87224	−	9.19449i	0.470155	−	0.736148i
$157$	−10.1200	+	3.28818i	−0.807663	+	0.262426i	−0.683608	−	0.729850i	$-0.739590\pi$
$157$	−10.1200	+	3.28818i	−0.807663	+	0.262426i	−0.124055	+	0.992275i	$0.539590\pi$
$158$	2.20351	+	10.3667i	0.175302	+	0.824730i
$159$	−16.2992	+	0.978311i	−1.29261	+	0.0775851i
$160$	0.879797	−	2.05571i	0.0695540	−	0.162518i
$161$	11.1522	+	19.3162i	0.878917	+	1.52233i
$162$	−8.10700	+	3.90852i	−0.636946	+	0.307083i
$163$	5.10403	−	7.02510i	0.399779	−	0.550248i	−0.560910	−	0.827877i	$-0.689549\pi$
$163$	5.10403	−	7.02510i	0.399779	−	0.550248i	0.960688	+	0.277629i	$0.0895485\pi$
$164$	−0.276238	−	0.620440i	−0.0215705	−	0.0484482i
$165$	−2.73673	+	3.53646i	−0.213054	+	0.275313i
$166$	−4.97647	+	0.523049i	−0.386249	+	0.0405964i
$167$	−2.33054	−	2.09843i	−0.180343	−	0.162381i	0.574015	−	0.818845i	$-0.305385\pi$
$167$	−2.33054	−	2.09843i	−0.180343	−	0.162381i	−0.754358	+	0.656463i	$0.772052\pi$
$168$	−0.939533	−	5.65390i	−0.0724866	−	0.436208i
$169$	−2.78819	+	26.5278i	−0.214476	+	2.04060i
$170$	−6.81538	−	1.34575i	−0.522716	−	0.103214i
$171$	−12.5624	+	1.51349i	−0.960670	+	0.115739i
$172$	−0.168606	+	1.60418i	−0.0128561	+	0.122317i
$173$	10.7041	+	11.8881i	0.813815	+	0.903833i	0.996853	−	0.0792727i	$-0.0252598\pi$
$173$	10.7041	+	11.8881i	0.813815	+	0.903833i	−0.183038	+	0.983106i	$0.558593\pi$
$174$	2.54475	+	9.21672i	0.192917	+	0.698718i
$175$	15.5807	−	5.56656i	1.17779	−	0.420792i
$176$	−1.12936	−	0.240053i	−0.0851289	−	0.0180947i
$177$	10.9377	+	1.64736i	0.822126	+	0.123823i
$178$	9.81568	+	7.13151i	0.735716	+	0.534529i
$179$	−2.96614	−	1.32061i	−0.221700	−	0.0987071i	0.292881	−	0.956149i	$-0.405386\pi$
$179$	−2.96614	−	1.32061i	−0.221700	−	0.0987071i	−0.514581	+	0.857442i	$0.672053\pi$
$180$	3.18028	−	5.90642i	0.237044	−	0.440239i
$181$	11.2104	+	6.47232i	0.833261	+	0.481084i	0.854968	−	0.518681i	$-0.173577\pi$
$181$	11.2104	+	6.47232i	0.833261	+	0.481084i	−0.0217067	+	0.999764i	$0.506910\pi$
$182$	12.2511	+	16.8621i	0.908109	+	1.24991i
$183$	10.5214	+	3.94741i	0.777762	+	0.291801i
$184$	−6.41054	+	2.08291i	−0.472592	+	0.153554i
$185$	−0.107256	+	0.0128469i	−0.00788564	+	0.000944525i
$186$	−9.16856	+	2.98956i	−0.672272	+	0.219205i
$187$			3.58707i			0.262312i
$188$	3.17476	+	9.77091i	0.231543	+	0.712617i
$189$	−1.29059	−	17.1458i	−0.0938769	−	1.24717i
$190$	6.91654	−	6.41157i	0.501779	−	0.465144i
$191$	−10.6932	−	6.17375i	−0.773736	−	0.446717i	0.0604697	−	0.998170i	$-0.480740\pi$
$191$	−10.6932	−	6.17375i	−0.773736	−	0.446717i	−0.834206	+	0.551453i	$0.814073\pi$
$192$	1.73032	+	0.0775177i	0.124875	+	0.00559436i
$193$	9.55204	−	21.4542i	0.687571	−	1.54431i	−0.144418	−	0.989517i	$-0.546131\pi$
$193$	9.55204	−	21.4542i	0.687571	−	1.54431i	0.831989	−	0.554792i	$-0.187202\pi$
$194$	−10.2337	+	14.0855i	−0.734739	+	1.01128i
$195$	−0.738557	+	24.3837i	−0.0528891	+	1.74615i
$196$	3.86345	+	0.821202i	0.275961	+	0.0586573i
$197$	6.14620	−	0.645992i	0.437899	−	0.0460250i	0.116986	−	0.993134i	$-0.462677\pi$
$197$	6.14620	−	0.645992i	0.437899	−	0.0460250i	0.320913	+	0.947109i	$0.396010\pi$
$198$	−3.31012	−	1.02024i	−0.235240	−	0.0725052i
$199$	11.4742	−	10.3314i	0.813384	−	0.732374i	−0.153346	−	0.988173i	$-0.549005\pi$
$199$	11.4742	−	10.3314i	0.813384	−	0.732374i	0.966730	+	0.255798i	$0.0823383\pi$
$200$	0.666510	+	4.95538i	0.0471294	+	0.350398i
$201$	−5.34448	+	4.39545i	−0.376970	+	0.310031i
$202$	−11.0235	−	3.58175i	−0.775609	−	0.252011i
$203$	−18.1671	−	1.90944i	−1.27508	−	0.134016i
$204$	−0.882105	−	5.30831i	−0.0617597	−	0.371656i
$205$	1.24141	+	0.874738i	0.0867038	+	0.0610943i
$206$	−12.4397	+	1.30746i	−0.866713	+	0.0910952i
$207$	−19.7133	+	4.50401i	−1.37017	+	0.313050i
$208$	−5.75417	+	2.56192i	−0.398980	+	0.177637i
$209$	−3.93973	−	2.86238i	−0.272517	−	0.197995i
$210$	8.28322	+	9.77930i	0.571596	+	0.674836i
$211$	−1.75522	−	3.04014i	−0.120835	−	0.209292i	0.799262	−	0.600982i	$-0.205224\pi$
$211$	−1.75522	−	3.04014i	−0.120835	−	0.209292i	−0.920097	+	0.391690i	$0.871890\pi$
$212$	8.16429	+	4.71365i	0.560726	+	0.323735i
$213$	−13.2605	+	0.795918i	−0.908592	+	0.0545354i
$214$	4.65933	−	0.990371i	0.318505	−	0.0677004i
$215$	−1.51461	−	3.27338i	−0.103295	−	0.223243i
$216$	5.14936	+	0.695796i	0.350369	+	0.0473429i
$217$	1.08478	−	18.3920i	0.0736395	−	1.24853i
$218$	−6.95062			−0.470755
$219$	−18.3058	−	4.75640i	−1.23699	−	0.321408i
$220$	2.44357	−	0.833298i	0.164746	−	0.0561809i
$221$	11.5022	+	15.8315i	0.773724	+	1.06494i
$222$	−0.0385521	−	0.0742638i	−0.00258745	−	0.00498426i
$223$	−7.44447	−	12.8942i	−0.498519	−	0.863460i	0.501480	−	0.865169i	$-0.332789\pi$
$223$	−7.44447	−	12.8942i	−0.498519	−	0.863460i	−0.999999	+	0.00170952i	$0.999456\pi$
$224$	−1.34591	+	3.02296i	−0.0899273	+	0.201980i
$225$	0.662190	+	14.9854i	0.0441460	+	0.999025i
$226$	1.03149	−	0.459251i	0.0686140	−	0.0305489i
$227$	−22.2315	−	4.72546i	−1.47556	−	0.313640i	−0.601270	−	0.799046i	$-0.705338\pi$
$227$	−22.2315	−	4.72546i	−1.47556	−	0.313640i	−0.874289	+	0.485406i	$0.838672\pi$
$228$	6.53410	+	3.26706i	0.432731	+	0.216366i
$229$	2.30371	+	2.07427i	0.152233	+	0.137072i	0.741728	−	0.670701i	$-0.234006\pi$
$229$	2.30371	+	2.07427i	0.152233	+	0.137072i	−0.589495	+	0.807772i	$0.700673\pi$
$230$	9.92184	−	11.3457i	0.654227	−	0.748113i
$231$	4.12536	−	5.17420i	0.271428	−	0.340437i
$232$	1.70589	−	5.25019i	0.111997	−	0.344692i
$233$	−4.00533	+	12.3271i	−0.262398	+	0.807577i	0.729884	+	0.683571i	$0.239574\pi$
$233$	−4.00533	+	12.3271i	−0.262398	+	0.807577i	−0.992281	+	0.124006i	$0.960426\pi$
$234$	−17.8806	+	6.11136i	−1.16889	+	0.399512i
$235$	−17.2931	−	15.1228i	−1.12807	−	0.986504i
$236$	−4.74579	−	4.27313i	−0.308925	−	0.278157i
$237$	8.20943	−	16.4188i	0.533259	−	1.06652i
$238$	10.0558	+	2.13743i	0.651822	+	0.138549i
$239$	12.6574	−	5.63544i	0.818739	−	0.364526i	0.0457561	−	0.998953i	$-0.485430\pi$
$239$	12.6574	−	5.63544i	0.818739	−	0.364526i	0.772983	+	0.634426i	$0.218764\pi$
$240$	−3.41119	+	1.83406i	−0.220191	+	0.118388i
$241$	−7.69173	+	17.2759i	−0.495468	+	1.11284i	0.476809	+	0.879007i	$0.341793\pi$
$241$	−7.69173	+	17.2759i	−0.495468	+	1.11284i	−0.972277	+	0.233832i	$0.924873\pi$
$242$	4.83346	+	8.37179i	0.310706	+	0.538159i
$243$	15.1995	+	3.46039i	0.975050	+	0.221984i
$244$	−3.81353	−	5.24888i	−0.244136	−	0.336025i
$245$	−8.35925	+	2.85064i	−0.534053	+	0.182121i
$246$	−0.295824	+	1.13853i	−0.0188611	+	0.0725899i
$247$	−26.5664			−1.69038
$248$	5.36849	+	1.47625i	0.340899	+	0.0937422i
$249$	7.30436	+	4.66507i	0.462895	+	0.295637i
$250$	−6.95850	−	8.75096i	−0.440094	−	0.553459i
$251$	−9.49239	+	2.01767i	−0.599154	+	0.127354i	−0.497498	−	0.867465i	$-0.665748\pi$
$251$	−9.49239	+	2.01767i	−0.599154	+	0.127354i	−0.101657	+	0.994820i	$0.532414\pi$
$252$	−4.83249	+	8.67150i	−0.304418	+	0.546253i
$253$	−6.73982	−	3.89124i	−0.423729	−	0.244640i
$254$	0.158530	+	0.274582i	0.00994704	+	0.0172288i
$255$	7.77691	+	9.18155i	0.487009	+	0.574971i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	5.52277	−	2.45890i	0.344501	−	0.153382i	−0.227191	−	0.973850i	$-0.572954\pi$
$257$	5.52277	−	2.45890i	0.344501	−	0.153382i	0.571692	+	0.820469i	$0.306287\pi$
$258$	1.96048	−	1.99047i	0.122054	−	0.123921i
$259$	0.158982	−	0.0167097i	0.00987866	−	0.00103829i
$260$	8.11262	−	11.5133i	0.503123	−	0.714022i
$261$	6.50559	−	15.2299i	0.402686	−	0.942704i
$262$	22.3481	+	2.34888i	1.38067	+	0.145114i
$263$	9.92977	+	3.22638i	0.612296	+	0.198947i	0.598717	−	0.800961i	$-0.295677\pi$
$263$	9.92977	+	3.22638i	0.612296	+	0.198947i	0.0135792	+	0.999908i	$0.495677\pi$
$264$	1.27028	+	1.54455i	0.0781805	+	0.0950605i
$265$	−21.0779	+	0.305442i	−1.29480	+	0.0187631i
$266$	−10.3718	+	9.33885i	−0.635939	+	0.572602i
$267$	−5.59292	−	20.2568i	−0.342281	−	1.23969i
$268$	3.97325	−	0.417606i	0.242705	−	0.0255093i
$269$	−18.0465	−	3.83589i	−1.10031	−	0.233879i	−0.378248	−	0.925704i	$-0.623473\pi$
$269$	−18.0465	−	3.83589i	−1.10031	−	0.233879i	−0.722064	+	0.691826i	$0.756807\pi$
$270$	−10.6846	+	4.56505i	−0.650243	+	0.277820i
$271$	7.32147	−	10.0771i	0.444748	−	0.612143i	−0.526511	−	0.850168i	$-0.676500\pi$
$271$	7.32147	−	10.0771i	0.444748	−	0.612143i	0.971259	+	0.238026i	$0.0765002\pi$
$272$	−1.26364	+	2.83819i	−0.0766195	+	0.172090i
$273$	1.61568	−	36.0645i	0.0977855	−	2.18272i
$274$	8.05425	+	4.65012i	0.486575	+	0.280924i
$275$	−3.73693	+	4.40028i	−0.225346	+	0.265347i
$276$	10.9308	+	4.10102i	0.657957	+	0.246853i
$277$	−2.36029	−	7.26421i	−0.141816	−	0.436464i	0.854772	−	0.519004i	$-0.173697\pi$
$277$	−2.36029	−	7.26421i	−0.141816	−	0.436464i	−0.996588	+	0.0825396i	$0.973697\pi$
$278$		−	3.68736i		−	0.221153i
$279$	15.6449	+	5.85117i	0.936637	+	0.350300i
$280$	−0.879975	−	7.34673i	−0.0525886	−	0.439051i
$281$	22.7634	−	7.39627i	1.35795	−	0.441224i	0.462591	−	0.886572i	$-0.346920\pi$
$281$	22.7634	−	7.39627i	1.35795	−	0.441224i	0.895358	+	0.445348i	$0.146920\pi$
$282$	6.25076	−	16.6607i	0.372227	−	0.992128i
$283$	6.91653	+	9.51978i	0.411145	+	0.565892i	0.963497	−	0.267718i	$-0.0862697\pi$
$283$	6.91653	+	9.51978i	0.411145	+	0.565892i	−0.552352	+	0.833611i	$0.686270\pi$
$284$	6.64216	+	3.83485i	0.394140	+	0.227557i
$285$	−16.2900	+	1.21487i	−0.964937	+	0.0719629i
$286$	−6.64373	−	2.95798i	−0.392852	−	0.174909i
$287$	−1.81815	−	1.32096i	−0.107322	−	0.0779740i
$288$	−2.25965	−	1.97332i	−0.133151	−	0.116279i
$289$	−7.18735	−	1.52772i	−0.422785	−	0.0898657i
$290$	2.74113	+	12.0357i	0.160965	+	0.706763i
$291$	29.0685	−	8.02584i	1.70403	−	0.470483i
$292$	7.30676	+	8.11498i	0.427596	+	0.474893i
$293$	−2.66428	+	25.3489i	−0.155649	+	1.48090i	0.586108	+	0.810233i	$0.300659\pi$
$293$	−2.66428	+	25.3489i	−0.155649	+	1.48090i	−0.741757	+	0.670668i	$0.766007\pi$
$294$	−4.34553	−	5.28377i	−0.253436	−	0.308156i
$295$	14.0092	+	2.76623i	0.815650	+	0.161056i
$296$	−0.00504970	+	0.0480447i	−0.000293508	+	0.00279254i
$297$	3.38124	+	4.95586i	0.196200	+	0.287568i
$298$	4.04723	+	3.64414i	0.234450	+	0.211100i
$299$	−42.2236	+	4.43788i	−2.44186	+	0.256649i
$300$	4.44800	−	7.43070i	0.256806	−	0.429011i
$301$	2.17097	+	4.87607i	0.125133	+	0.281052i
$302$	−8.76763	+	12.0676i	−0.504520	+	0.694413i
$303$	11.0615	+	16.7535i	0.635469	+	0.962464i
$304$	−2.10887	−	3.65267i	−0.120952	−	0.209495i
$305$	13.3374	+	5.70810i	0.763698	+	0.326845i
$306$	−4.53711	+	8.14146i	−0.259369	+	0.465416i
$307$	6.25505	+	29.4277i	0.356994	+	1.67953i	0.680065	+	0.733152i	$0.261951\pi$
$307$	6.25505	+	29.4277i	0.356994	+	1.67953i	−0.323071	+	0.946375i	$0.604715\pi$
$308$	−3.63360	+	1.18063i	−0.207044	+	0.0672726i
$309$	18.2587	+	11.6613i	1.03870	+	0.663386i
$310$	−11.9997	+	3.31762i	−0.681539	+	0.188428i
$311$		−	13.9704i		−	0.792191i	−0.918209	−	0.396095i	$-0.870365\pi$
$311$		−	13.9704i		−	0.792191i	0.918209	−	0.396095i	$-0.129635\pi$
$312$	10.5591	+	2.74358i	0.597791	+	0.155324i
$313$	−11.3543	+	2.41343i	−0.641782	+	0.136415i	−0.517296	−	0.855806i	$-0.673061\pi$
$313$	−11.3543	+	2.41343i	−0.641782	+	0.136415i	−0.124486	+	0.992221i	$0.539728\pi$
$314$	−6.25449	−	8.60857i	−0.352962	−	0.485810i
$315$	−0.658515	−	22.1880i	−0.0371031	−	1.25015i
$316$	−9.17839	+	5.29915i	−0.516325	+	0.298100i
$317$	2.48454	+	1.10619i	0.139546	+	0.0621298i	0.475322	−	0.879812i	$-0.342332\pi$
$317$	2.48454	+	1.10619i	0.139546	+	0.0621298i	−0.335776	+	0.941942i	$0.608998\pi$
$318$	−5.96717	−	15.1992i	−0.334622	−	0.852328i
$319$	5.82275	−	2.59245i	0.326011	−	0.145150i
$320$	2.22697	+	0.201486i	0.124492	+	0.0112634i
$321$	−7.37946	−	3.68974i	−0.411881	−	0.205941i
$322$	−14.9246	+	16.5754i	−0.831714	+	0.923712i
$323$	−9.73788	+	8.76802i	−0.541830	+	0.487866i
$324$	−6.22243	−	6.50241i	−0.345690	−	0.361245i
$325$	−2.38303	+	31.4033i	−0.132187	+	1.74194i
$326$	8.25850	+	2.68335i	0.457396	+	0.148617i
$327$	9.41316	+	7.50505i	0.520549	+	0.415030i
$328$	0.504711	−	0.454444i	0.0278680	−	0.0250925i
$329$	25.2641	+	22.7479i	1.39286	+	1.25413i
$330$	−4.20907	−	1.50996i	−0.231702	−	0.0831205i
$331$	5.61810	−	26.4311i	0.308799	−	1.45278i	−0.500679	−	0.865633i	$-0.666916\pi$
$331$	5.61810	−	26.4311i	0.308799	−	1.45278i	0.809478	−	0.587151i	$-0.199750\pi$
$332$	−2.03526	−	4.57128i	−0.111700	−	0.250881i
$333$	−0.0279769	+	0.142202i	−0.00153312	+	0.00779263i
$334$	1.27555	−	2.86493i	0.0697949	−	0.156762i
$335$	−7.15043	+	5.35509i	−0.390670	+	0.292580i
$336$	5.08685	−	2.64070i	0.277510	−	0.144062i
$337$	24.9707	−	18.1423i	1.36024	−	0.988273i	0.361811	−	0.932252i	$-0.382159\pi$
$337$	24.9707	−	18.1423i	1.36024	−	0.988273i	0.998430	−	0.0560210i	$-0.0178414\pi$
$338$	−26.0911	+	5.54583i	−1.41917	+	0.301653i
$339$	−1.89283	−	0.491815i	−0.102804	−	0.0267117i
$340$	−0.826187	−	6.89767i	−0.0448063	−	0.374079i
$341$	2.88088	+	5.74684i	0.156009	+	0.311209i
$342$	−5.32141	−	11.4798i	−0.287749	−	0.620759i
$343$	−9.59936	+	3.11902i	−0.518317	+	0.168411i
$344$	−1.57776	+	0.335364i	−0.0850674	+	0.0180816i
$345$	−25.6878	+	4.65210i	−1.38298	+	0.250461i
$346$	−7.99849	+	13.8538i	−0.430001	+	0.744784i
$347$	27.2650	−	15.7414i	1.46366	−	0.845044i	0.464482	−	0.885583i	$-0.346241\pi$
$347$	27.2650	−	15.7414i	1.46366	−	0.845044i	0.999178	+	0.0405382i	$0.0129072\pi$
$348$	−7.97925	+	5.26832i	−0.427733	+	0.282412i
$349$	−21.2558	−	15.4432i	−1.13779	−	0.826656i	−0.150984	−	0.988536i	$-0.548244\pi$
$349$	−21.2558	−	15.4432i	−1.13779	−	0.826656i	−0.986810	+	0.161880i	$0.948244\pi$
$350$	10.1088	+	13.0979i	0.540338	+	0.700115i
$351$	30.8144	+	11.0303i	1.64475	+	0.588756i
$352$	−0.120688	−	1.14827i	−0.00643268	−	0.0612029i
$353$	5.59968	+	5.04198i	0.298041	+	0.268357i	0.804560	−	0.593871i	$-0.202401\pi$
$353$	5.59968	+	5.04198i	0.298041	+	0.268357i	−0.506519	+	0.862229i	$0.669068\pi$
$354$	1.81320	+	10.9114i	0.0963704	+	0.579935i
$355$	−17.1482	+	0.248496i	−0.910132	+	0.0131888i
$356$	−3.74926	+	11.5390i	−0.198710	+	0.611567i
$357$	−11.3106	−	13.7526i	−0.598619	−	0.727867i
$358$	0.339388	−	3.22906i	0.0179372	−	0.170661i
$359$	−12.4871	+	11.2435i	−0.659045	+	0.593407i	−0.929275	−	0.369389i	$-0.879567\pi$
$359$	−12.4871	+	11.2435i	−0.659045	+	0.593407i	0.270230	+	0.962796i	$0.412900\pi$
$360$	6.60010	+	1.19944i	0.347856	+	0.0632163i
$361$	0.126546	+	1.20400i	0.00666031	+	0.0633686i
$362$	−2.69134	+	12.6618i	−0.141454	+	0.665488i
$363$	2.49368	−	16.5568i	0.130884	−	0.869009i
$364$	−12.2511	+	16.8621i	−0.642130	+	0.883816i
$365$	−23.3292	−	7.20811i	−1.22111	−	0.377290i
$366$	−0.502932	+	11.2262i	−0.0262887	+	0.586805i
$367$	18.0575	−	31.2765i	0.942593	−	1.63262i	0.182093	−	0.983281i	$-0.441713\pi$
$367$	18.0575	−	31.2765i	0.942593	−	1.63262i	0.760500	−	0.649338i	$-0.224954\pi$
$368$	−3.96193	−	5.45313i	−0.206530	−	0.284264i
$369$	1.62998	−	1.22248i	0.0848532	−	0.0636396i
$370$	−0.0453622	−	0.0980369i	−0.00235827	−	0.00509670i
$371$	31.1954			1.61958
$372$	−5.67649	−	7.79599i	−0.294312	−	0.404203i
$373$			23.4844i			1.21598i	0.793946	+	0.607989i	$0.208023\pi$
$373$			23.4844i			1.21598i	−0.793946	+	0.607989i	$0.791977\pi$
$374$	−3.41150	+	1.10846i	−0.176405	+	0.0573173i
$375$	−0.0251656	+	19.3649i	−0.00129955	+	0.999999i
$376$	−8.31164	+	6.03876i	−0.428640	+	0.311425i
$377$	17.3857	−	30.1129i	0.895408	−	1.55089i
$378$	15.9078	−	6.52577i	0.818209	−	0.335649i
$379$	32.4944	+	14.4674i	1.66913	+	0.743143i	1.00000		6.32710e-6i	$-2.01398e-6\pi$
$379$	32.4944	+	14.4674i	1.66913	+	0.743143i	0.669126	+	0.743149i	$0.266669\pi$
$380$	8.23510	+	4.59674i	0.422451	+	0.235808i
$381$	0.0817888	−	0.543039i	0.00419017	−	0.0278207i
$382$	2.56719	−	12.0777i	0.131349	−	0.617948i
$383$	−18.8515	+	1.98137i	−0.963265	+	0.101243i	−0.573085	−	0.819496i	$-0.694254\pi$
$383$	−18.8515	+	1.98137i	−0.963265	+	0.101243i	−0.390179	+	0.920739i	$0.627587\pi$
$384$	0.460973	+	1.66958i	0.0235239	+	0.0852005i
$385$	5.62387	−	6.43094i	0.286619	−	0.327751i
$386$	23.3559	+	2.45481i	1.18879	+	0.124946i
$387$	−4.80430	+	0.578811i	−0.244216	+	0.0294226i
$388$	−16.5585	−	5.38019i	−0.840631	−	0.273138i
$389$	−0.674238	+	6.41495i	−0.0341852	+	0.325251i	0.964043	+	0.265747i	$0.0856185\pi$
$389$	−0.674238	+	6.41495i	−0.0341852	+	0.325251i	−0.998228	+	0.0595038i	$0.981048\pi$
$390$	−23.4185	+	6.83256i	−1.18584	+	0.345980i
$391$	−14.0123	+	15.5623i	−0.708633	+	0.787017i
$392$	0.412863	+	3.92813i	0.0208527	+	0.198400i
$393$	−27.7295	−	27.3118i	−1.39877	−	1.37770i
$394$	2.51366	+	5.64576i	0.126636	+	0.284429i
$395$	11.5506	−	20.6930i	0.581176	−	1.04118i
$396$	−0.0525787	−	3.46338i	−0.00264218	−	0.174041i
$397$	−28.8260	+	16.6427i	−1.44673	+	0.835272i	−0.998285	−	0.0585366i	$-0.981357\pi$
$397$	−28.8260	+	16.6427i	−1.44673	+	0.835272i	−0.448448	+	0.893809i	$0.648023\pi$
$398$	13.3715	+	7.72002i	0.670251	+	0.386970i
$399$	24.1303	−	1.44834i	1.20802	−	0.0725079i
$400$	−4.50688	+	2.16518i	−0.225344	+	0.108259i
$401$	−10.5200	−	32.3773i	−0.525345	−	1.61685i	−0.763633	−	0.645651i	$-0.776586\pi$
$401$	−10.5200	−	32.3773i	−0.525345	−	1.61685i	0.238288	−	0.971195i	$-0.423414\pi$
$402$	−5.83186	−	3.72463i	−0.290867	−	0.185768i
$403$	31.1424	+	16.1258i	1.55132	+	0.803282i
$404$		−	11.5908i		−	0.576663i
$405$	19.3992	+	5.35446i	0.963955	+	0.266065i
$406$	−3.79796	−	17.8680i	−0.188489	−	0.886773i
$407$	−0.0451251	+	0.0327853i	−0.00223677	+	0.00162511i
$408$	4.77592	−	2.47929i	0.236443	−	0.122743i
$409$	−7.69209	+	4.44103i	−0.380349	+	0.219595i	−0.677970	−	0.735089i	$-0.737140\pi$
$409$	−7.69209	+	4.44103i	−0.380349	+	0.219595i	0.297621	+	0.954684i	$0.403807\pi$
$410$	−0.448308	+	1.45096i	−0.0221404	+	0.0716578i
$411$	−5.88675	−	14.9943i	−0.290372	−	0.739616i
$412$	−5.08754	−	11.4268i	−0.250645	−	0.562958i
$413$	−20.6701	−	4.39356i	−1.01711	−	0.216193i
$414$	−10.3753	−	17.3567i	−0.509920	−	0.853035i
$415$	9.14646	+	6.44489i	0.448982	+	0.316367i
$416$	−4.21467	−	4.68087i	−0.206641	−	0.229498i
$417$	−3.98149	+	4.99376i	−0.194974	+	0.244545i
$418$	1.50484	−	4.63143i	0.0736043	−	0.226531i
$419$	−13.9622	−	4.53660i	−0.682099	−	0.221627i	−0.0525849	−	0.998616i	$-0.516746\pi$
$419$	−13.9622	−	4.53660i	−0.682099	−	0.221627i	−0.629514	+	0.776989i	$0.716746\pi$
$420$	−6.74102	+	10.8998i	−0.328928	+	0.531855i
$421$	17.9956	+	19.9861i	0.877050	+	0.974063i	0.999831	−	0.0183712i	$-0.00584805\pi$
$421$	17.9956	+	19.9861i	0.877050	+	0.974063i	−0.122781	+	0.992434i	$0.539181\pi$
$422$	2.34895	−	2.60877i	0.114345	−	0.126993i
$423$	−26.4550	+	15.8140i	−1.28628	+	0.768904i
$424$	−1.96005	+	9.22130i	−0.0951883	+	0.447826i
$425$	9.49091	+	12.2973i	0.460377	+	0.596509i
$426$	−4.85467	−	12.3655i	−0.235210	−	0.599110i
$427$	−19.6129	−	8.73222i	−0.949134	−	0.422582i
$428$	2.38171	+	4.12524i	0.115124	+	0.199401i
$429$	5.80361	+	11.1796i	0.280201	+	0.539758i
$430$	2.64513	−	2.45201i	0.127559	−	0.118246i
$431$	−3.27516	−	15.4084i	−0.157759	−	0.742198i	−0.983898	−	0.178731i	$-0.942801\pi$
$431$	−3.27516	−	15.4084i	−0.157759	−	0.742198i	0.826139	−	0.563466i	$-0.190533\pi$
$432$	0.929497	+	5.11234i	0.0447205	+	0.245968i
$433$	15.2909			0.734836			0.367418	−	0.930056i	$-0.380242\pi$
$433$	15.2909			0.734836			0.367418	+	0.930056i	$0.380242\pi$
$434$	17.8271	−	4.65176i	0.855726	−	0.223291i
$435$	9.28351	−	19.2597i	0.445110	−	0.923431i
$436$	−2.14786	−	6.61043i	−0.102864	−	0.316582i
$437$	−5.91082	−	27.8082i	−0.282753	−	1.33025i
$438$	−1.13319	−	18.8796i	−0.0541460	−	0.902104i
$439$	0.0237595	−	0.0411526i	0.00113398	−	0.00196411i	−0.865458	−	0.500982i	$-0.832972\pi$
$439$	0.0237595	−	0.0411526i	0.00113398	−	0.00196411i	0.866592	+	0.499018i	$0.166306\pi$
$440$	1.54762	+	2.06647i	0.0737798	+	0.0985152i
$441$	0.179867	+	11.8479i	0.00856510	+	0.564187i
$442$	−11.5022	+	15.8315i	−0.547105	+	0.753026i
$443$	−22.1522	+	9.86281i	−1.05248	+	0.468596i	−0.858716	−	0.512451i	$-0.828737\pi$
$443$	−22.1522	+	9.86281i	−1.05248	+	0.468596i	−0.193768	+	0.981047i	$0.562071\pi$
$444$	0.0587159	−	0.0596140i	0.00278653	−	0.00282916i
$445$	−6.02453	−	26.4525i	−0.285590	−	1.25397i
$446$	9.96265	−	11.0646i	0.471745	−	0.523926i
$447$	−1.54630	−	9.30530i	−0.0731376	−	0.440125i
$448$	−3.29092	−	0.345889i	−0.155481	−	0.0163417i
$449$	5.55304	−	17.0905i	0.262064	−	0.806550i	−0.730291	−	0.683136i	$-0.760616\pi$
$449$	5.55304	−	17.0905i	0.262064	−	0.806550i	0.992355	−	0.123414i	$-0.0393844\pi$
$450$	−14.0473	+	5.26052i	−0.662197	+	0.247983i
$451$	0.779853	+	0.0819659i	0.0367218	+	0.00385962i
$452$	0.755523	+	0.839094i	0.0355368	+	0.0394676i
$453$	24.9041	−	6.87605i	1.17010	−	0.323065i
$454$	−2.37574	−	22.6037i	−0.111499	−	1.06084i
$455$	4.19952	−	46.4162i	0.196877	−	2.17603i
$456$	−1.08801	+	7.22387i	−0.0509507	+	0.338289i
$457$	−28.2046	−	20.4919i	−1.31936	−	0.958569i	−0.999940	−	0.0109544i	$-0.996513\pi$
$457$	−28.2046	−	20.4919i	−1.31936	−	0.958569i	−0.319417	−	0.947614i	$-0.603487\pi$
$458$	−1.26086	+	2.83194i	−0.0589162	+	0.132328i
$459$	14.9354	−	6.12689i	0.697127	−	0.285979i
$460$	13.8564	+	5.93022i	0.646059	+	0.276498i
$461$	−13.4885	+	9.79998i	−0.628223	+	0.456431i	−0.855784	−	0.517333i	$-0.826925\pi$
$461$	−13.4885	+	9.79998i	−0.628223	+	0.456431i	0.227561	+	0.973764i	$0.426925\pi$
$462$	6.19576	+	2.32453i	0.288253	+	0.108147i
$463$	−2.14520	−	6.60225i	−0.0996960	−	0.306833i	0.888753	−	0.458386i	$-0.151572\pi$
$463$	−2.14520	−	6.60225i	−0.0996960	−	0.306833i	−0.988449	+	0.151554i	$0.951572\pi$
$464$	5.52038			0.256277
$465$	19.8334	+	8.46388i	0.919751	+	0.392503i
$466$	−12.9615			−0.600430
$467$	−10.5356	−	32.4252i	−0.487529	−	1.50046i	−0.828285	−	0.560307i	$-0.810683\pi$
$467$	−10.5356	−	32.4252i	−0.487529	−	1.50046i	0.340756	−	0.940152i	$-0.389317\pi$
$468$	−11.3377	−	15.1170i	−0.524084	−	0.698782i
$469$	10.6953	−	7.77057i	0.493862	−	0.358812i
$470$	9.03881	−	21.1199i	0.416929	−	0.974187i
$471$	−0.824849	+	18.4119i	−0.0380070	+	0.848376i
$472$	2.59746	−	5.83399i	0.119558	−	0.268531i
$473$	−1.50669	−	1.09468i	−0.0692778	−	0.0503332i
$474$	18.1521	+	2.73394i	0.833752	+	0.125574i
$475$	−21.0799	+	0.611069i	−0.967211	+	0.0280378i
$476$	1.07460	+	10.2242i	0.0492543	+	0.468623i
$477$	−8.33029	+	27.0273i	−0.381418	+	1.23749i
$478$	9.27097	+	10.2965i	0.424044	+	0.470949i
$479$	7.84789	+	0.824846i	0.358579	+	0.0376882i	0.282105	−	0.959383i	$-0.408967\pi$
$479$	7.84789	+	0.824846i	0.358579	+	0.0376882i	0.0764738	+	0.997072i	$0.475634\pi$
$480$	−2.79841	−	2.67748i	−0.127729	−	0.122210i
$481$	−0.0940300	+	0.289395i	−0.00428740	+	0.0131953i
$482$	−18.8072	−	1.97672i	−0.856646	−	0.0900371i
$483$	38.1098	−	6.33287i	1.73406	−	0.288156i
$484$	−6.46843	+	7.18392i	−0.294019	+	0.326542i
$485$	37.9594	−	8.64522i	1.72365	−	0.392559i
$486$	1.40588	+	15.5249i	0.0637722	+	0.704225i
$487$	6.01462	−	2.67788i	0.272548	−	0.121346i	−0.265912	−	0.963997i	$-0.585673\pi$
$487$	6.01462	−	2.67788i	0.272548	−	0.121346i	0.538460	+	0.842651i	$0.319006\pi$
$488$	3.81353	−	5.24888i	0.172631	−	0.237606i
$489$	−8.28702	−	12.5513i	−0.374752	−	0.567589i
$490$	−5.29427	−	7.06922i	−0.239171	−	0.319355i
$491$	14.6876	−	25.4396i	0.662840	−	1.14807i	−0.317026	−	0.948417i	$-0.602684\pi$
$491$	14.6876	−	25.4396i	0.662840	−	1.14807i	0.979866	−	0.199656i	$-0.0639823\pi$
$492$	−1.17422	+	0.0704788i	−0.0529379	+	0.00317743i
$493$	−3.56581	−	16.7758i	−0.160596	−	0.755545i
$494$	−8.20947	−	25.2662i	−0.369362	−	1.13678i
$495$	4.06991	+	6.58974i	0.182929	+	0.296187i
$496$	0.254954	+	5.56192i	0.0114478	+	0.249738i
$497$	25.3794			1.13842
$498$	−2.17958	+	8.38845i	−0.0976691	+	0.375895i
$499$	−3.33657	−	15.6973i	−0.149365	−	0.702708i	−0.987548	−	0.157319i	$-0.949715\pi$
$499$	−3.33657	−	15.6973i	−0.149365	−	0.702708i	0.838183	−	0.545390i	$-0.183618\pi$
$500$	6.17236	−	9.32212i	0.276036	−	0.416898i
$501$	−4.82092	+	2.50265i	−0.215383	+	0.111810i
$502$	−4.85223	−	8.40431i	−0.216566	−	0.375103i
$503$	−24.9632	−	11.1143i	−1.11305	−	0.495563i	−0.233975	−	0.972243i	$-0.575173\pi$
$503$	−24.9632	−	11.1143i	−1.11305	−	0.495563i	−0.879077	+	0.476680i	$0.841840\pi$
$504$	−9.74041	−	1.91633i	−0.433872	−	0.0853602i
$505$	13.2827	+	22.2553i	0.591074	+	0.990348i
$506$	1.61807	−	7.61240i	0.0719318	−	0.338413i
$507$	41.3231	+	20.6616i	1.83522	+	0.917614i
$508$	−0.212154	+	0.235621i	−0.00941282	+	0.0104540i
$509$	3.92159	+	4.35537i	0.173821	+	0.193048i	0.823760	−	0.566938i	$-0.191872\pi$
$509$	3.92159	+	4.35537i	0.173821	+	0.193048i	−0.649939	+	0.759986i	$0.725206\pi$
$510$	−6.32898	+	10.2335i	−0.280252	+	0.453149i
$511$	34.3655	+	11.1660i	1.52024	+	0.493956i
$512$	0.309017	−	0.951057i	0.0136568	−	0.0420312i
$513$	−5.18883	+	21.2929i	−0.229092	+	0.940106i
$514$	4.04518	+	4.49263i	0.178425	+	0.198161i
$515$	22.8634	+	16.1103i	1.00748	+	0.709904i
$516$	2.49887	+	1.24944i	0.110006	+	0.0550034i
$517$	−11.6028	−	2.46625i	−0.510290	−	0.108465i
$518$	0.0650200	+	0.146037i	0.00285681	+	0.00641651i
$519$	25.7911	−	10.1256i	1.13211	−	0.444462i
$520$	13.4567	+	4.15777i	0.590115	+	0.182330i
$521$	−6.32997	+	3.65461i	−0.277321	+	0.160111i	−0.632210	−	0.774797i	$-0.717852\pi$
$521$	−6.32997	+	3.65461i	−0.277321	+	0.160111i	0.354889	+	0.934908i	$0.384519\pi$
$522$	16.4948	+	1.48090i	0.721957	+	0.0648171i
$523$	1.13017	−	0.821119i	0.0494191	−	0.0359050i	−0.562802	−	0.826592i	$-0.690276\pi$
$523$	1.13017	−	0.821119i	0.0494191	−	0.0359050i	0.612221	+	0.790687i	$0.290276\pi$
$524$	4.67202	+	21.9801i	0.204098	+	0.960206i
$525$	0.452467	−	28.6536i	0.0197473	−	1.25054i
$526$			10.4408i			0.455240i
$527$	16.7374	−	4.36742i	0.729092	−	0.190248i
$528$	−1.07642	+	1.68540i	−0.0468450	+	0.0733478i
$529$	−6.93236	−	21.3356i	−0.301407	−	0.927635i
$530$	−6.80392	−	19.9519i	−0.295543	−	0.866654i
$531$	9.32619	−	16.7351i	0.404722	−	0.726240i
$532$	−12.0869	−	6.97835i	−0.524032	−	0.302550i
$533$	3.70470	−	2.13891i	0.160468	−	0.0926464i
$534$	17.5370	−	11.5789i	0.758902	−	0.501067i
$535$	−9.30052	−	5.19145i	−0.402097	−	0.224446i
$536$	1.62497	+	3.64974i	0.0701880	+	0.157645i
$537$	−3.94626	+	4.00662i	−0.170294	+	0.172899i
$538$	−1.92851	−	18.3486i	−0.0831440	−	0.791062i
$539$	−3.05148	+	3.38902i	−0.131437	+	0.145975i
$540$	−7.64334	−	8.75097i	−0.328917	−	0.376582i
$541$	−0.509607	+	4.84859i	−0.0219097	+	0.208457i	0.978090	+	0.208181i	$0.0667544\pi$
$541$	−0.509607	+	4.84859i	−0.0219097	+	0.208457i	−1.00000		0.000275682i	$0.999912\pi$
$542$	11.8464	+	3.84913i	0.508846	+	0.165334i
$543$	17.3166	−	14.2417i	0.743127	−	0.611169i
$544$	−3.08976	−	0.324747i	−0.132472	−	0.0139234i
$545$	11.6995	+	10.2312i	0.501150	+	0.438257i
$546$	34.7987	−	9.60795i	1.48925	−	0.411182i
$547$	5.80365	−	0.609988i	0.248146	−	0.0260812i	0.0203612	−	0.999793i	$-0.493518\pi$
$547$	5.80365	−	0.609988i	0.248146	−	0.0260812i	0.227785	+	0.973711i	$0.426852\pi$
$548$	−1.93363	+	9.09701i	−0.0826006	+	0.388605i
$549$	12.8028	−	14.6605i	0.546412	−	0.625697i
$550$	−5.33969	−	2.19427i	−0.227685	−	0.0935642i
$551$	21.2706	+	9.47027i	0.906157	+	0.403447i
$552$	−0.522504	+	11.6631i	−0.0222392	+	0.496414i
$553$	−17.5351	+	30.3717i	−0.745669	+	1.29154i
$554$	6.17931	−	4.48953i	0.262534	−	0.190742i
$555$	−0.0444234	+	0.181751i	−0.00188567	+	0.00771490i
$556$	3.50689	−	1.13946i	0.148725	−	0.0483237i
$557$			12.2616i			0.519540i	0.965671	+	0.259770i	$0.0836467\pi$
$557$			12.2616i			0.519540i	−0.965671	+	0.259770i	$0.916353\pi$
$558$	−0.730245	+	16.6873i	−0.0309137	+	0.706431i
$559$	−10.1599			−0.429719
$560$	6.71523	−	3.10717i	0.283770	−	0.131302i
$561$	5.81705	+	2.18245i	0.245596	+	0.0921429i
$562$	14.0685	+	19.3637i	0.593445	+	0.816807i
$563$	−1.76916	+	3.06428i	−0.0745614	+	0.129144i	−0.900895	−	0.434036i	$-0.857089\pi$
$563$	−1.76916	+	3.06428i	−0.0745614	+	0.129144i	0.826334	+	0.563180i	$0.190422\pi$
$564$	17.7768	+	0.796397i	0.748539	+	0.0335344i
$565$	−2.41225	−	0.745323i	−0.101484	−	0.0313560i
$566$	−6.91653	+	9.51978i	−0.290723	+	0.400146i
$567$	−28.5901	−	8.33893i	−1.20067	−	0.350202i
$568$	−1.59462	+	7.50211i	−0.0669089	+	0.314781i
$569$	−4.65163	−	44.2573i	−0.195006	−	1.85536i	−0.455948	−	0.890006i	$-0.650700\pi$
$569$	−4.65163	−	44.2573i	−0.195006	−	1.85536i	0.260942	−	0.965355i	$-0.415967\pi$
$570$	−6.18931	−	15.1173i	−0.259241	−	0.633194i
$571$	8.90729	−	8.02016i	0.372758	−	0.335633i	−0.461366	−	0.887210i	$-0.652640\pi$
$571$	8.90729	−	8.02016i	0.372758	−	0.335633i	0.834124	+	0.551577i	$0.185974\pi$
$572$	0.760180	−	7.23263i	0.0317847	−	0.302411i
$573$	−16.5178	+	13.5847i	−0.690041	+	0.567510i
$574$	0.694471	−	2.13736i	0.0289867	−	0.0892118i
$575$	−33.4014	+	4.49257i	−1.39294	+	0.187353i
$576$	1.17847	−	2.75884i	0.0491028	−	0.114952i
$577$	−32.6424	−	29.3914i	−1.35892	−	1.22358i	−0.950476	−	0.310797i	$-0.899404\pi$
$577$	−32.6424	−	29.3914i	−1.35892	−	1.22358i	−0.408447	−	0.912782i	$-0.633929\pi$
$578$	−0.768066	−	7.30766i	−0.0319473	−	0.303959i
$579$	−28.9801	−	28.5435i	−1.20437	−	1.18623i
$580$	−10.5996	+	6.32622i	−0.440125	+	0.262682i
$581$	−13.3958	−	9.73259i	−0.555750	−	0.403776i
$582$	16.6157	+	25.1657i	0.688743	+	1.04315i
$583$	−9.42643	+	5.44235i	−0.390403	+	0.225399i
$584$	−5.45989	+	9.45680i	−0.225932	+	0.391325i
$585$	39.0930	+	16.0332i	1.61630	+	0.662892i
$586$	−24.9316	+	5.29937i	−1.02991	+	0.218915i
$587$	−15.3261	+	4.97976i	−0.632577	+	0.205537i	−0.607716	−	0.794154i	$-0.707914\pi$
$587$	−15.3261	+	4.97976i	−0.632577	+	0.205537i	−0.0248606	+	0.999691i	$0.507914\pi$
$588$	3.68232	−	5.76562i	0.151857	−	0.237770i
$589$	−8.55918	+	21.8680i	−0.352675	+	0.901056i
$590$	1.69826	+	14.1784i	0.0699161	+	0.583715i
$591$	2.69189	−	10.3602i	0.110729	−	0.426160i
$592$	−0.0472537	+	0.0100441i	−0.00194211	+	0.000412809i
$593$	21.0365	−	15.2839i	0.863865	−	0.627634i	−0.0650690	−	0.997881i	$-0.520727\pi$
$593$	21.0365	−	15.2839i	0.863865	−	0.627634i	0.928934	+	0.370246i	$0.120727\pi$
$594$	−3.66844	+	4.74720i	−0.150518	+	0.194780i
$595$	−13.7800	−	18.3998i	−0.564923	−	0.754319i
$596$	−2.21512	+	4.97525i	−0.0907350	+	0.203794i
$597$	−9.77304	−	24.8932i	−0.399984	−	1.01881i
$598$	−17.2685	−	38.7857i	−0.706161	−	1.58606i
$599$	3.61424	−	17.0037i	0.147674	−	0.694752i	−0.840550	−	0.541735i	$-0.817768\pi$
$599$	3.61424	−	17.0037i	0.147674	−	0.694752i	0.988224	−	0.153017i	$-0.0488989\pi$
$600$	8.44152	+	1.93409i	0.344624	+	0.0789590i
$601$	−16.7950	−	15.1223i	−0.685081	−	0.616850i	0.251269	−	0.967917i	$-0.419152\pi$
$601$	−16.7950	−	15.1223i	−0.685081	−	0.616850i	−0.936350	+	0.351068i	$0.885819\pi$
$602$	−3.96656	+	3.57150i	−0.161665	+	0.145564i
$603$	3.87630	+	11.3413i	0.157855	+	0.461853i
$604$	−14.1863	−	4.60942i	−0.577233	−	0.187555i
$605$	4.18736	−	21.2064i	0.170240	−	0.862164i
$606$	−12.5153	+	15.6973i	−0.508401	+	0.637658i
$607$	29.9700	−	26.9851i	1.21644	−	1.09529i	0.223749	−	0.974647i	$-0.428170\pi$
$607$	29.9700	−	26.9851i	1.21644	−	1.09529i	0.992696	−	0.120645i	$-0.0384963\pi$
$608$	2.82222	−	3.13439i	0.114456	−	0.127116i
$609$	−14.1497	+	28.2994i	−0.573376	+	1.14675i
$610$	−1.30724	+	14.4485i	−0.0529284	+	0.585004i
$611$	−59.1169	+	26.3205i	−2.39161	+	1.06482i
$612$	−9.14503	−	1.79920i	−0.369666	−	0.0727282i
$613$	7.92029	+	3.52634i	0.319897	+	0.142428i	0.560403	−	0.828220i	$-0.310646\pi$
$613$	7.92029	+	3.52634i	0.319897	+	0.142428i	−0.240505	+	0.970648i	$0.577313\pi$
$614$	−26.0545	+	15.0426i	−1.05147	+	0.607068i
$615$	2.17384	−	1.48095i	0.0876576	−	0.0597178i
$616$	−2.24569	−	3.09093i	−0.0904815	−	0.124537i
$617$	−18.0107	+	3.82830i	−0.725084	+	0.154121i	−0.555645	−	0.831419i	$-0.687529\pi$
$617$	−18.0107	+	3.82830i	−0.725084	+	0.154121i	−0.169439	+	0.985541i	$0.554195\pi$
$618$	−5.44827	+	20.9686i	−0.219162	+	0.843480i
$619$		−	1.43990i		−	0.0578746i	−0.999581	−	0.0289373i	$-0.990788\pi$
$619$		−	1.43990i		−	0.0578746i	0.999581	−	0.0289373i	$-0.00921232\pi$
$620$	−6.86336	−	10.3872i	−0.275639	−	0.417161i
$621$	−4.68997	+	34.7089i	−0.188202	+	1.39282i
$622$	13.2867	−	4.31710i	0.532747	−	0.173100i
$623$	8.34726	+	39.2708i	0.334426	+	1.57335i
$624$	0.653645	+	10.8901i	0.0261667	+	0.435953i
$625$	−1.16856	+	24.9727i	−0.0467424	+	0.998907i
$626$	−5.80397	−	10.0528i	−0.231973	−	0.401790i
$627$	−7.03887	+	4.64743i	−0.281105	+	0.185600i
$628$	6.25449	−	8.60857i	0.249582	−	0.343519i
$629$	0.0610457	+	0.137111i	0.00243405	+	0.00546697i
$630$	20.8985	−	7.48274i	0.832617	−	0.298120i
$631$	−3.88089	+	0.407898i	−0.154496	+	0.0162382i	−0.181461	−	0.983398i	$-0.558082\pi$
$631$	−3.88089	+	0.407898i	−0.154496	+	0.0162382i	0.0269647	+	0.999636i	$0.491416\pi$
$632$	−7.87607	−	7.09164i	−0.313293	−	0.282090i
$633$	−5.99802	+	0.996718i	−0.238400	+	0.0396160i
$634$	−0.284283	+	2.70477i	−0.0112903	+	0.107420i
$635$	0.137339	−	0.695537i	0.00545013	−	0.0276016i
$636$	12.6113	−	10.3719i	0.500072	−	0.411274i
$637$	−2.60051	+	24.7422i	−0.103036	+	0.980321i
$638$	4.26490	+	4.73665i	0.168849	+	0.187526i
$639$	−6.77722	+	21.9884i	−0.268103	+	0.869847i
$640$	0.496548	+	2.18024i	0.0196278	+	0.0861815i
$641$	3.67126	+	0.780350i	0.145006	+	0.0308220i	0.279843	−	0.960046i	$-0.409718\pi$
$641$	3.67126	+	0.780350i	0.145006	+	0.0308220i	−0.134837	+	0.990868i	$0.543051\pi$
$642$	1.22877	−	8.15847i	0.0484958	−	0.321989i
$643$	33.1490	+	24.0842i	1.30727	+	0.949787i	0.999998	−	0.00183542i	$-0.000584233\pi$
$643$	33.1490	+	24.0842i	1.30727	+	0.949787i	0.307271	+	0.951622i	$0.400584\pi$
$644$	−20.3761	−	9.07202i	−0.802931	−	0.357488i
$645$	−6.22987	+	0.464610i	−0.245301	+	0.0182940i
$646$	−11.3481	−	6.55180i	−0.446483	−	0.257777i
$647$	16.2713	+	22.3955i	0.639690	+	0.880457i	0.998599	−	0.0529151i	$-0.0168513\pi$
$647$	16.2713	+	22.3955i	0.639690	+	0.880457i	−0.358909	+	0.933372i	$0.616851\pi$
$648$	4.26133	−	7.92724i	0.167401	−	0.311411i
$649$	7.01246	−	2.27849i	0.275263	−	0.0894385i
$650$	−30.6028	+	7.43777i	−1.20034	+	0.291733i
$651$	−29.1658	−	12.9492i	−1.14310	−	0.507520i
$652$			8.68350i			0.340072i
$653$	−10.7758	−	33.1645i	−0.421690	−	1.29783i	−0.906129	−	0.423002i	$-0.860976\pi$
$653$	−10.7758	−	33.1645i	−0.421690	−	1.29783i	0.484439	−	0.874825i	$-0.339024\pi$
$654$	−4.22890	+	11.2716i	−0.165363	+	0.440756i
$655$	−34.1594	−	36.8498i	−1.33472	−	1.43984i
$656$	0.588166	+	0.339578i	0.0229640	+	0.0132583i
$657$	−18.8509	+	26.7921i	−0.735445	+	1.04526i
$658$	−13.8275	+	31.0571i	−0.539053	+	1.21073i
$659$	−14.6831	+	20.2096i	−0.571973	+	0.787254i	−0.992787	−	0.119894i	$-0.961745\pi$
$659$	−14.6831	+	20.2096i	−0.571973	+	0.787254i	0.420813	+	0.907147i	$0.361745\pi$
$660$	0.135382	−	4.46967i	0.00526973	−	0.173982i
$661$	−39.0378	−	8.29775i	−1.51840	−	0.322745i	−0.628102	−	0.778131i	$-0.716168\pi$
$661$	−39.0378	−	8.29775i	−1.51840	−	0.322745i	−0.890294	+	0.455386i	$0.849501\pi$
$662$	26.8735	−	2.82452i	1.04447	−	0.109778i
$663$	32.6716	−	9.02067i	1.26886	−	0.350334i
$664$	3.71861	−	3.34825i	0.144310	−	0.129937i
$665$	31.2048	−	0.452192i	1.21007	−	0.0175353i
$666$	−0.143888	+	0.0173353i	−0.00557553	+	0.000671728i
$667$	35.3886	+	11.4985i	1.37025	+	0.445222i
$668$	3.11887	+	0.327807i	0.120673	+	0.0126832i
$669$	−25.4396	+	4.22740i	−0.983550	+	0.163441i
$670$	−7.30260	−	5.14565i	−0.282124	−	0.198794i
$671$	7.44993	−	0.783019i	0.287601	−	0.0302281i
$672$	4.08338	+	4.02186i	0.157520	+	0.155146i
$673$	−24.5130	+	10.9139i	−0.944908	+	0.420700i	−0.820574	−	0.571540i	$-0.806346\pi$
$673$	−24.5130	+	10.9139i	−0.944908	+	0.420700i	−0.124334	+	0.992240i	$0.539679\pi$
$674$	24.9707	+	18.1423i	0.961835	+	0.698814i
$675$	24.7043	+	8.04356i	0.950868	+	0.309597i
$676$	−13.3370	−	23.1003i	−0.512961	−	0.888474i
$677$	−17.0575	−	9.84817i	−0.655574	−	0.378496i	0.135014	−	0.990844i	$-0.456892\pi$
$677$	−17.0575	−	9.84817i	−0.655574	−	0.378496i	−0.790589	+	0.612348i	$0.790225\pi$
$678$	−0.117173	−	1.95217i	−0.00449999	−	0.0749725i
$679$	−56.3536	+	11.9783i	−2.16265	+	0.459686i
$680$	6.30477	−	2.91725i	0.241777	−	0.111871i
$681$	−21.1893	+	33.1772i	−0.811975	+	1.27135i
$682$	−4.57533	+	4.51575i	−0.175198	+	0.172917i
$683$	42.7712			1.63659			0.818297	−	0.574796i	$-0.194919\pi$
$683$	42.7712			1.63659			0.818297	+	0.574796i	$0.194919\pi$
$684$	9.27358	−	8.60843i	0.354584	−	0.329151i
$685$	−6.71222	−	19.6830i	−0.256461	−	0.752048i
$686$	−5.93273	−	8.16570i	−0.226513	−	0.311768i
$687$	4.76541	−	2.47384i	0.181812	−	0.0943827i
$688$	−0.806506	−	1.39691i	−0.0307478	−	0.0532567i
$689$	−24.1520	+	54.2464i	−0.920119	+	2.06662i
$690$	−12.3624	−	22.9929i	−0.470627	−	0.875327i
$691$	28.5153	−	12.6958i	1.08477	−	0.482972i	0.215096	−	0.976593i	$-0.430993\pi$
$691$	28.5153	−	12.6958i	1.08477	−	0.482972i	0.869677	+	0.493621i	$0.164327\pi$
$692$	−15.6474	−	3.32596i	−0.594825	−	0.126434i
$693$	−5.88091	−	9.83807i	−0.223397	−	0.373717i
$694$	23.3963	+	21.0661i	0.888113	+	0.799660i
$695$	−5.42774	+	6.20666i	−0.205886	+	0.235432i
$696$	−7.47620	−	5.96072i	−0.283384	−	0.225941i
$697$	0.652022	−	2.00672i	0.0246971	−	0.0760099i
$698$	8.11898	−	24.9876i	0.307308	−	0.945796i
$699$	17.5537	+	13.9954i	0.663940	+	0.529355i
$700$	−9.33309	+	13.6615i	−0.352758	+	0.516357i
$701$	2.74845	+	2.47472i	0.103808	+	0.0934689i	0.719400	−	0.694596i	$-0.244417\pi$
$701$	2.74845	+	2.47472i	0.103808	+	0.0934689i	−0.615593	+	0.788064i	$0.711083\pi$
$702$	−0.968302	+	32.7148i	−0.0365462	+	1.23474i
$703$	−0.199304	−	0.0423634i	−0.00751689	−	0.00159776i
$704$	1.05477	−	0.469615i	0.0397533	−	0.0176993i
$705$	−35.0457	+	18.8426i	−1.31990	+	0.709655i
$706$	−3.06481	+	6.88367i	−0.115346	+	0.259070i
$707$	−19.1772	−	33.2159i	−0.721232	−	1.24921i
$708$	−9.81706	+	5.09627i	−0.368948	+	0.191529i
$709$	−5.32291	−	7.32636i	−0.199906	−	0.275147i	0.697281	−	0.716798i	$-0.254393\pi$
$709$	−5.32291	−	7.32636i	−0.199906	−	0.275147i	−0.897187	+	0.441651i	$0.854393\pi$
$710$	−5.53542	−	16.2321i	−0.207740	−	0.609180i
$711$	−21.6311	−	23.3025i	−0.811231	−	0.873914i
$712$	−12.1328			−0.454698
$713$	−9.95061	+	36.1860i	−0.372653	+	1.35518i
$714$	9.58438	−	15.0068i	0.358686	−	0.561615i
$715$	6.82880	+	14.7584i	0.255383	+	0.551934i
$716$	3.17589	−	0.675057i	0.118689	−	0.0252281i
$717$	−1.43782	−	23.9549i	−0.0536963	−	0.894612i
$718$	−14.5519	−	8.40154i	−0.543072	−	0.313543i
$719$	13.8905	+	24.0590i	0.518028	+	0.897251i	0.999781	+	0.0209434i	$0.00666699\pi$
$719$	13.8905	+	24.0590i	0.518028	+	0.897251i	−0.481753	+	0.876307i	$0.660000\pi$
$720$	0.898804	+	6.64772i	0.0334965	+	0.247746i
$721$	−33.4853	−	24.3285i	−1.24706	−	0.906041i
$722$	−1.10597	+	0.492410i	−0.0411600	+	0.0183256i
$723$	23.3361	+	22.9845i	0.867877	+	0.854802i
$724$	−12.8737	+	1.35308i	−0.478448	+	0.0502869i
$725$	13.1025	−	24.2938i	0.486615	−	0.902249i
$726$	16.5171	−	2.74472i	0.613007	−	0.101866i
$727$	15.7923	+	1.65984i	0.585704	+	0.0615599i	0.392746	−	0.919647i	$-0.371525\pi$
$727$	15.7923	+	1.65984i	0.585704	+	0.0615599i	0.192958	+	0.981207i	$0.438192\pi$
$728$	−19.8226	−	6.44076i	−0.734676	−	0.238711i
$729$	14.8593	−	22.5433i	0.550346	−	0.834937i
$730$	−0.353797	−	24.4148i	−0.0130946	−	0.903632i
$731$	−3.72410	+	3.35320i	−0.137741	+	0.124023i
$732$	−10.8322	+	2.99078i	−0.400370	+	0.110542i
$733$	−4.78548	+	0.502975i	−0.176756	+	0.0185778i	−0.192493	−	0.981298i	$-0.561657\pi$
$733$	−4.78548	+	0.502975i	−0.176756	+	0.0185778i	0.0157370	+	0.999876i	$0.494991\pi$
$734$	35.3258	+	7.50872i	1.30390	+	0.277152i
$735$	−0.463129	+	15.2904i	−0.0170828	+	0.563993i
$736$	3.96193	−	5.45313i	0.146039	−	0.201005i
$737$	−1.87618	+	4.21397i	−0.0691100	+	0.155223i
$738$	1.66634	+	1.17243i	0.0613386	+	0.0431579i
$739$	12.6219	+	7.28726i	0.464304	+	0.268066i	0.713852	−	0.700296i	$-0.246949\pi$
$739$	12.6219	+	7.28726i	0.464304	+	0.268066i	−0.249548	+	0.968362i	$0.580282\pi$
$740$	0.0792210	−	0.0734371i	0.00291222	−	0.00269960i
$741$	−16.1636	+	43.0820i	−0.593783	+	1.58266i
$742$	9.63990	+	29.6686i	0.353892	+	1.08917i
$743$			36.6545i			1.34472i	0.740223	+	0.672362i	$0.234720\pi$
$743$			36.6545i			1.34472i	−0.740223	+	0.672362i	$0.765280\pi$
$744$	5.66030	−	7.80775i	0.207517	−	0.286246i
$745$	−1.44828	−	12.0914i	−0.0530609	−	0.442994i
$746$	−22.3350	+	7.25709i	−0.817743	+	0.265701i
$747$	12.0093	−	9.00697i	0.439399	−	0.329548i
$748$	−2.10843	−	2.90200i	−0.0770917	−	0.106108i
$749$	13.6506	+	7.88118i	0.498782	+	0.287972i
$750$	−18.4249	+	5.96015i	−0.672782	+	0.217634i
$751$	−40.5867	−	18.0704i	−1.48103	−	0.659397i	−0.502328	−	0.864677i	$-0.667523\pi$
$751$	−40.5867	−	18.0704i	−1.48103	−	0.659397i	−0.978703	+	0.205280i	$0.934190\pi$
$752$	−8.31164	−	6.03876i	−0.303094	−	0.220211i
$753$	−2.50336	+	16.6212i	−0.0912277	+	0.605708i
$754$	34.0115	+	7.22937i	1.23863	+	0.263278i
$755$	32.5213	−	7.40669i	1.18357	−	0.269557i
$756$	11.1222	+	13.1126i	0.404509	+	0.476902i
$757$	32.2245	+	35.7889i	1.17122	+	1.30077i	0.945141	+	0.326662i	$0.105924\pi$
$757$	32.2245	+	35.7889i	1.17122	+	1.30077i	0.226078	+	0.974109i	$0.427409\pi$
$758$	−3.71803	+	35.3747i	−0.135045	+	1.28487i
$759$	−10.4110	+	8.56227i	−0.377894	+	0.310791i
$760$	−1.82698	+	9.25251i	−0.0662714	+	0.335624i
$761$	−4.33291	+	41.2249i	−0.157068	+	1.49440i	0.577793	+	0.816184i	$0.303914\pi$
$761$	−4.33291	+	41.2249i	−0.157068	+	1.49440i	−0.734861	+	0.678218i	$0.762752\pi$
$762$	0.541735	−	0.0900224i	0.0196250	−	0.00326117i
$763$	−17.0922	−	15.3899i	−0.618781	−	0.557153i
$764$	12.2799	−	1.29066i	0.444270	−	0.0466946i
$765$	19.6211	−	7.02537i	0.709403	−	0.254003i
$766$	−7.70981	−	17.3165i	−0.278567	−	0.625672i
$767$	23.6432	−	32.5421i	0.853707	−	1.17503i
$768$	−1.44542	+	0.954341i	−0.0521570	+	0.0344368i
$769$	−4.26448	−	7.38630i	−0.153781	−	0.266357i	0.778833	−	0.627231i	$-0.215812\pi$
$769$	−4.26448	−	7.38630i	−0.153781	−	0.266357i	−0.932615	+	0.360874i	$0.882478\pi$
$770$	7.85405	+	3.36135i	0.283040	+	0.121135i
$771$	−0.627359	−	10.4522i	−0.0225938	−	0.376426i
$772$	4.88272	+	22.9714i	0.175733	+	0.826758i
$773$	−34.9241	+	11.3475i	−1.25613	+	0.408142i	−0.860114	−	0.510102i	$-0.829608\pi$
$773$	−34.9241	+	11.3475i	−1.25613	+	0.408142i	−0.396017	+	0.918243i	$0.629608\pi$
$774$	−2.03509	−	4.39030i	−0.0731498	−	0.157806i
$775$	25.0818	+	12.0791i	0.900963	+	0.433895i
$776$		−	17.4107i		−	0.625006i
$777$	0.0696303	−	0.267983i	0.00249797	−	0.00961385i
$778$	−6.30933	+	1.34109i	−0.226200	+	0.0480804i
$779$	1.68371	+	2.31743i	0.0603253	+	0.0830307i
$780$	−13.7349	−	20.1609i	−0.491787	−	0.721877i
$781$	−7.66900	+	4.42770i	−0.274418	+	0.158435i
$782$	−19.1306	−	8.51750i	−0.684110	−	0.304585i
$783$	−20.7397	−	19.8161i	−0.741177	−	0.708169i
$784$	−3.60829	+	1.60651i	−0.128867	+	0.0573755i
$785$	−2.14397	+	23.6967i	−0.0765215	+	0.845772i
$786$	17.4061	−	34.8122i	0.620856	−	1.24171i
$787$	13.1787	−	14.6365i	0.469772	−	0.521734i	−0.460968	−	0.887417i	$-0.652498\pi$
$787$	13.1787	−	14.6365i	0.469772	−	0.521734i	0.930740	+	0.365683i	$0.119164\pi$
$788$	−4.59268	+	4.13527i	−0.163607	+	0.147313i
$789$	11.2736	−	14.1399i	0.401351	−	0.503392i
$790$	23.2496	+	4.59080i	0.827184	+	0.163333i
$791$	3.55341	+	1.15457i	0.126345	+	0.0410519i
$792$	3.27762	−	1.12025i	0.116465	−	0.0398063i
$793$	30.3693	−	27.3447i	1.07845	−	0.971037i
$794$	−24.7358	−	22.2723i	−0.877842	−	0.790413i
$795$	−12.3289	+	34.3673i	−0.437261	+	1.21888i
$796$	−3.21017	+	15.1026i	−0.113781	+	0.535299i
$797$	13.4552	+	30.2209i	0.476607	+	1.07048i	0.978631	+	0.205624i	$0.0659223\pi$
$797$	13.4552	+	30.2209i	0.476607	+	1.07048i	−0.502024	+	0.864854i	$0.667411\pi$
$798$	8.83412	+	22.5017i	0.312725	+	0.796551i
$799$	−12.9823	+	29.1588i	−0.459282	+	1.03156i
$800$	−3.45192	−	3.61722i	−0.122044	−	0.127888i
$801$	−36.2527	−	3.25476i	−1.28093	−	0.115001i
$802$	27.5418	−	20.0103i	0.972534	−	0.706587i
$803$	−12.3324	+	2.62133i	−0.435200	+	0.0925047i
$804$	1.74019	−	6.69740i	0.0613717	−	0.236199i
$805$	49.5202	−	5.93142i	1.74536	−	0.209055i
$806$	−5.71299	+	34.6014i	−0.201231	+	1.21878i
$807$	−17.2004	+	26.9316i	−0.605483	+	0.948038i
$808$	11.0235	−	3.58175i	0.387805	−	0.126005i
$809$	15.5358	−	3.30224i	0.546210	−	0.116101i	0.0734618	−	0.997298i	$-0.476595\pi$
$809$	15.5358	−	3.30224i	0.546210	−	0.116101i	0.472748	+	0.881197i	$0.343262\pi$
$810$	0.902294	+	20.1044i	0.0317034	+	0.706396i
$811$	6.31085	−	10.9307i	0.221604	−	0.383829i	−0.733691	−	0.679483i	$-0.762204\pi$
$811$	6.31085	−	10.9307i	0.221604	−	0.383829i	0.955295	+	0.295654i	$0.0955375\pi$
$812$	15.8198	−	9.13358i	0.555167	−	0.320526i
$813$	−11.8873	−	18.0042i	−0.416906	−	0.631434i
$814$	−0.0451251	−	0.0327853i	−0.00158163	−	0.00114912i
$815$	−9.95108	−	16.6731i	−0.348571	−	0.584033i
$816$	3.83378	+	3.77602i	0.134209	+	0.132187i
$817$	−0.711136	−	6.76601i	−0.0248795	−	0.236713i
$818$	−6.60066	−	5.94326i	−0.230787	−	0.207801i
$819$	−57.5019	−	24.5625i	−2.00928	−	0.858284i
$820$	−1.51848	+	0.0220044i	−0.0530276	+	0.000768428i
$821$	−0.107746	+	0.331609i	−0.00376037	+	0.0115732i	−0.952919	−	0.303225i	$-0.901937\pi$
$821$	−0.107746	+	0.331609i	−0.00376037	+	0.0115732i	0.949159	+	0.314798i	$0.101937\pi$
$822$	12.4414	−	10.2321i	0.433942	−	0.356887i
$823$	−3.33136	+	31.6957i	−0.116124	+	1.10484i	0.768923	+	0.639342i	$0.220793\pi$
$823$	−3.33136	+	31.6957i	−0.116124	+	1.10484i	−0.885047	+	0.465503i	$0.845874\pi$
$824$	9.29540	−	8.36961i	0.323821	−	0.291569i
$825$	4.86219	+	8.73731i	0.169280	+	0.304194i
$826$	−2.20888	−	21.0161i	−0.0768568	−	0.731244i
$827$	−7.49689	+	35.2701i	−0.260692	+	1.22646i	0.631705	+	0.775209i	$0.282356\pi$
$827$	−7.49689	+	35.2701i	−0.260692	+	1.22646i	−0.892397	+	0.451251i	$0.850978\pi$
$828$	13.3010	−	15.2310i	0.462243	−	0.529315i
$829$	0.122303	−	0.168335i	0.00424774	−	0.00584652i	−0.806888	−	0.590705i	$-0.798850\pi$
$829$	0.122303	−	0.168335i	0.00424774	−	0.00584652i	0.811136	+	0.584858i	$0.198850\pi$
$830$	−3.30305	+	10.6904i	−0.114650	+	0.371069i
$831$	−13.2162	−	0.592083i	−0.458466	−	0.0205391i
$832$	3.14936	−	5.45486i	0.109185	−	0.189113i
$833$	7.21274	+	9.92749i	0.249907	+	0.343967i
$834$	−5.97969	−	2.24346i	−0.207060	−	0.0776848i
$835$	−6.36417	+	2.94474i	−0.220241	+	0.101907i
$836$	4.86978			0.168425
$837$	19.0074	−	21.8110i	0.656991	−	0.753898i
$838$		−	14.6807i		−	0.507138i
$839$	31.8569	−	10.3509i	1.09982	−	0.357354i	0.297788	−	0.954632i	$-0.403751\pi$
$839$	31.8569	−	10.3509i	1.09982	−	0.357354i	0.802034	+	0.597278i	$0.203751\pi$
$840$	−12.4494	−	3.04287i	−0.429545	−	0.104989i
$841$	−1.19295	+	0.866728i	−0.0411362	+	0.0298872i
$842$	−13.4470	+	23.2908i	−0.463413	+	0.802655i
$843$	1.85537	−	41.4148i	0.0639024	−	1.42640i
$844$	3.20695	+	1.42783i	0.110388	+	0.0491479i
$845$	52.0806	+	29.0708i	1.79163	+	1.00007i
$846$	−23.2151	−	20.2734i	−0.798150	−	0.697013i
$847$	−6.65073	+	31.2892i	−0.228522	+	1.07511i
$848$	−9.37566	+	0.985422i	−0.321962	+	0.0338395i
$849$	19.6461	−	5.42432i	0.674253	−	0.186162i
$850$	−8.76262	+	12.8265i	−0.300555	+	0.439945i
$851$	−0.323843	−	0.0340372i	−0.0111012	−	0.00116678i
$852$	10.2601	−	8.43822i	0.351506	−	0.289088i
$853$	−28.9043	−	9.39156i	−0.989663	−	0.321561i	−0.230935	−	0.972969i	$-0.574179\pi$
$853$	−28.9043	−	9.39156i	−0.989663	−	0.321561i	−0.758728	+	0.651408i	$0.774179\pi$
$854$	2.24412	−	21.3514i	0.0767922	−	0.730629i
$855$	−7.94105	+	27.1562i	−0.271578	+	0.928724i
$856$	−3.18735	+	3.53991i	−0.108941	+	0.120992i
$857$	2.01370	+	19.1591i	0.0687867	+	0.654462i	0.973539	+	0.228523i	$0.0733895\pi$
$857$	2.01370	+	19.1591i	0.0687867	+	0.654462i	−0.904752	+	0.425939i	$0.859944\pi$
$858$	−8.83906	+	8.97426i	−0.301760	+	0.306376i
$859$	−1.79311	−	4.02739i	−0.0611801	−	0.137413i	0.880368	−	0.474291i	$-0.157296\pi$
$859$	−1.79311	−	4.02739i	−0.0611801	−	0.137413i	−0.941548	+	0.336878i	$0.890629\pi$
$860$	3.14939	+	1.75795i	0.107393	+	0.0599457i
$861$	−3.24837	+	2.14474i	−0.110704	+	0.0730927i
$862$	13.6422	−	7.87633i	0.464655	−	0.268269i
$863$	37.4151	+	21.6016i	1.27363	+	0.735328i	0.975668	−	0.219251i	$-0.0703614\pi$
$863$	37.4151	+	21.6016i	1.27363	+	0.735328i	0.297957	+	0.954579i	$0.403695\pi$
$864$	−4.57490	+	2.46380i	−0.155641	+	0.0838203i
$865$	33.8559	−	11.5454i	1.15113	−	0.392556i
$866$	4.72516	+	14.5425i	0.160567	+	0.494176i
$867$	−6.85039	+	10.7260i	−0.232651	+	0.364275i
$868$	9.93295	+	15.5171i	0.337146	+	0.526683i
$869$		−	12.2367i		−	0.415102i
$870$	21.1858	+	2.87757i	0.718266	+	0.0975589i
$871$	5.23195	+	24.6144i	0.177278	+	0.834027i
$872$	5.62317	−	4.08547i	0.190424	−	0.138351i
$873$	4.67058	−	52.0227i	0.158075	−	1.76070i
$874$	24.6206	−	14.2147i	0.832806	−	0.480821i
$875$	2.26458	−	36.9268i	0.0765569	−	1.24836i
$876$	17.6054	−	6.91186i	0.594832	−	0.233530i
$877$	6.10294	+	13.7074i	0.206082	+	0.462867i	0.986785	−	0.162035i	$-0.0518057\pi$
$877$	6.10294	+	13.7074i	0.206082	+	0.462867i	−0.780704	+	0.624902i	$0.785139\pi$
$878$	0.0464806	+	0.00987975i	0.00156864	+	0.000333425i
$879$	39.4867	+	19.7434i	1.33185	+	0.665929i
$880$	−1.48709	+	2.11045i	−0.0501298	+	0.0711432i
$881$	−34.4498	−	38.2604i	−1.16064	−	1.28902i	−0.950279	−	0.311401i	$-0.899202\pi$
$881$	−34.4498	−	38.2604i	−1.16064	−	1.28902i	−0.210364	−	0.977623i	$-0.567465\pi$
$882$	−11.2125	+	3.83227i	−0.377543	+	0.129039i
$883$	12.6252	−	38.8564i	0.424873	−	1.30762i	−0.478244	−	0.878227i	$-0.658726\pi$
$883$	12.6252	−	38.8564i	0.424873	−	1.30762i	0.903116	−	0.429396i	$-0.141274\pi$
$884$	−18.6110	−	6.04708i	−0.625955	−	0.203385i
$885$	13.0094	−	21.0354i	0.437307	−	0.707097i
$886$	−16.2255	−	18.0202i	−0.545106	−	0.605402i
$887$	5.98942	−	6.65193i	0.201105	−	0.223350i	−0.634153	−	0.773207i	$-0.718651\pi$
$887$	5.98942	−	6.65193i	0.201105	−	0.223350i	0.835259	+	0.549857i	$0.185318\pi$
$888$	0.0748405	+	0.0374204i	0.00251148	+	0.00125574i
$889$	−0.218133	+	1.02624i	−0.00731596	+	0.0344189i
$890$	23.2961	−	13.9039i	0.780888	−	0.466061i
$891$	10.0940	−	2.46803i	0.338162	−	0.0826820i
$892$	13.6017	+	6.05588i	0.455420	+	0.202766i
$893$	−21.6660	−	37.5266i	−0.725026	−	1.25578i
$894$	8.37203	−	4.34612i	0.280003	−	0.145356i
$895$	−5.32440	+	4.93567i	−0.177975	+	0.164981i
$896$	−0.687989	−	3.23673i	−0.0229841	−	0.108132i
$897$	−18.4929	+	71.1730i	−0.617461	+	2.37640i
$898$	17.9700			0.599667
$899$	−19.1860	−	24.0127i	−0.639887	−	0.800869i
$900$	−9.34391	−	11.7342i	−0.311464	−	0.391140i
$901$	9.05067	+	27.8551i	0.301521	+	0.927988i
$902$	0.163034	+	0.767013i	0.00542843	+	0.0255387i
$903$	9.22826	−	0.553898i	0.307097	−	0.0184326i
$904$	−0.564556	+	0.977840i	−0.0187769	+	0.0325225i
$905$	23.1681	−	17.3510i	0.770133	−	0.576767i
$906$	14.2353	+	21.5604i	0.472937	+	0.716297i
$907$	−30.6667	+	42.2091i	−1.01827	+	1.40153i	−0.104862	+	0.994487i	$0.533440\pi$
$907$	−30.6667	+	42.2091i	−1.01827	+	1.40153i	−0.913409	+	0.407043i	$0.866560\pi$
$908$	20.7632	−	9.24439i	0.689052	−	0.306786i
$909$	33.8988	−	7.74503i	1.12435	−	0.256887i
$910$	45.4422	−	10.3494i	1.50639	−	0.343080i
$911$	1.82670	−	2.02875i	0.0605211	−	0.0672155i	−0.712124	−	0.702054i	$-0.752267\pi$
$911$	1.82670	−	2.02875i	0.0605211	−	0.0672155i	0.772645	+	0.634838i	$0.218933\pi$
$912$	−7.20652	+	1.19754i	−0.238632	+	0.0396545i
$913$	5.74580	+	0.603908i	0.190158	+	0.0199864i
$914$	10.7732	−	33.1565i	0.356346	−	1.09672i
$915$	17.3714	−	18.1560i	0.574281	−	0.600219i
$916$	−3.08296	−	0.324033i	−0.101864	−	0.0107063i
$917$	49.7553	+	55.2588i	1.64306	+	1.82481i
$918$	10.4423	+	12.3111i	0.344648	+	0.406328i
$919$	−0.941849	−	8.96110i	−0.0310687	−	0.295599i	−0.999012	−	0.0444319i	$-0.985852\pi$
$919$	−0.941849	−	8.96110i	−0.0310687	−	0.295599i	0.967944	−	0.251167i	$-0.0808145\pi$
$920$	−1.35811	+	15.0108i	−0.0447754	+	0.494891i
$921$	51.5278	+	7.76076i	1.69790	+	0.255726i
$922$	−13.4885	−	9.79998i	−0.444221	−	0.322745i
$923$	−19.6492	+	44.1328i	−0.646761	+	1.45265i
$924$	−0.296164	+	6.61084i	−0.00974308	+	0.217481i
$925$	−0.0679542	+	0.231791i	−0.00223432	+	0.00762124i
$926$	5.61621	−	4.08042i	0.184560	−	0.134091i
$927$	30.0197	−	22.5147i	0.985977	−	0.739479i
$928$	1.70589	+	5.25019i	0.0559986	+	0.172346i
$929$	−48.2224			−1.58213			−0.791063	−	0.611735i	$-0.790472\pi$
$929$	−48.2224			−1.58213			−0.791063	+	0.611735i	$0.790472\pi$
$930$	−1.92078	+	21.4781i	−0.0629850	+	0.704296i
$931$	−16.6591			−0.545980
$932$	−4.00533	−	12.3271i	−0.131199	−	0.403789i
$933$	−22.6555	−	8.49990i	−0.741707	−	0.278274i
$934$	27.5825	−	20.0399i	0.902528	−	0.655725i
$935$	7.37398	+	3.15589i	0.241155	+	0.103209i
$936$	10.8736	−	15.4542i	0.355413	−	0.505135i
$937$	3.83731	−	8.61873i	0.125359	−	0.281562i	−0.839953	−	0.542659i	$-0.817418\pi$
$937$	3.83731	−	8.61873i	0.125359	−	0.281562i	0.965313	+	0.261097i	$0.0840843\pi$
$938$	10.6953	+	7.77057i	0.349213	+	0.253718i
$939$	−2.99439	+	19.8813i	−0.0977181	+	0.648802i
$940$	22.8793	+	2.07002i	0.746242	+	0.0675165i
$941$	2.29808	+	21.8648i	0.0749154	+	0.712772i	0.965931	+	0.258800i	$0.0833269\pi$
$941$	2.29808	+	21.8648i	0.0749154	+	0.712772i	−0.891016	+	0.453973i	$0.850006\pi$
$942$	−17.7657	+	4.90511i	−0.578836	+	0.159817i
$943$	3.06315	+	3.40198i	0.0997500	+	0.110784i
$944$	6.35111	+	0.667529i	0.206711	+	0.0217262i
$945$	−36.3823	−	12.4317i	−1.18352	−	0.404404i
$946$	0.575505	−	1.77122i	0.0187113	−	0.0575874i
$947$	−54.8232	−	5.76215i	−1.78151	−	0.187245i	−0.844270	−	0.535918i	$-0.819966\pi$
$947$	−54.8232	−	5.76215i	−1.78151	−	0.187245i	−0.937244	+	0.348673i	$0.886632\pi$
$948$	3.00916	+	18.1085i	0.0977331	+	0.588136i
$949$	−46.0233	+	51.1140i	−1.49398	+	1.65923i
$950$	−7.09520	−	19.8593i	−0.230199	−	0.644321i
$951$	3.30553	−	3.35609i	0.107189	−	0.108829i
$952$	−9.39168	+	4.18144i	−0.304386	+	0.135521i
$953$	7.05987	−	9.71708i	0.228692	−	0.314767i	−0.679215	−	0.733939i	$-0.737680\pi$
$953$	7.05987	−	9.71708i	0.228692	−	0.314767i	0.907907	+	0.419172i	$0.137680\pi$
$954$	−28.2787	+	0.429307i	−0.915556	+	0.0138993i
$955$	−22.0993	+	16.5506i	−0.715118	+	0.535565i
$956$	−6.92763	+	11.9990i	−0.224055	+	0.388075i
$957$	−0.661435	−	11.0199i	−0.0213812	−	0.356223i
$958$	1.64066	+	7.71868i	0.0530072	+	0.249379i
$959$	9.50997	+	29.2687i	0.307093	+	0.945135i
$960$	1.68168	−	3.48883i	0.0542760	−	0.112602i
$961$	23.3074	−	20.4394i	0.751850	−	0.659334i
$962$	−0.304287			−0.00981062
$963$	−10.4734	+	9.72215i	−0.337499	+	0.313292i
$964$	−3.93178	−	18.4976i	−0.126634	−	0.595767i
$965$	−35.6999	−	38.5116i	−1.14922	−	1.23973i
$966$	17.7995	+	34.2876i	0.572689	+	1.10319i
$967$	21.6563	+	37.5098i	0.696420	+	1.20623i	0.969700	+	0.244300i	$0.0785580\pi$
$967$	21.6563	+	37.5098i	0.696420	+	1.20623i	−0.273280	+	0.961934i	$0.588109\pi$
$968$	−8.83117	−	3.93189i	−0.283844	−	0.126376i
$969$	8.29415	+	21.1263i	0.266446	+	0.678674i
$970$	19.9522	+	33.4300i	0.640626	+	1.07337i
$971$	−2.19074	+	10.3066i	−0.0703043	+	0.330756i	−0.999218	−	0.0395406i	$-0.987411\pi$
$971$	−2.19074	+	10.3066i	−0.0703043	+	0.330756i	0.928914	+	0.370296i	$0.120744\pi$
$972$	−14.3306	+	6.13454i	−0.459656	+	0.196766i
$973$	8.16448	−	9.06758i	0.261741	−	0.290693i
$974$	4.40544	+	4.89273i	0.141159	+	0.156773i
$975$	49.4761	+	22.9709i	1.58450	+	0.735659i
$976$	6.17043	+	2.00489i	0.197511	+	0.0641751i
$977$	−4.28609	+	13.1912i	−0.137124	+	0.422025i	−0.995914	−	0.0903026i	$-0.971217\pi$
$977$	−4.28609	+	13.1912i	−0.137124	+	0.422025i	0.858790	+	0.512327i	$0.171217\pi$
$978$	9.37616	−	11.7600i	0.299816	−	0.376043i
$979$	−9.37352	−	10.4103i	−0.299579	−	0.332716i
$980$	5.08721	−	7.21966i	0.162505	−	0.230624i
$981$	17.8979	−	10.6988i	0.571436	−	0.341588i
$982$	28.7332	+	6.10743i	0.916913	+	0.194896i
$983$	5.89934	+	13.2501i	0.188160	+	0.422613i	0.982851	−	0.184400i	$-0.0590342\pi$
$983$	5.89934	+	13.2501i	0.188160	+	0.422613i	−0.794692	+	0.607013i	$0.792367\pi$
$984$	−0.429883	−	1.09497i	−0.0137042	−	0.0349064i
$985$	4.07943	−	13.2032i	0.129982	−	0.420688i
$986$	14.8529	−	8.57530i	0.473011	−	0.273093i
$987$	52.2610	−	27.1299i	1.66348	−	0.863554i
$988$	21.4927	−	15.6153i	0.683773	−	0.496790i
$989$	−2.26050	−	10.6348i	−0.0718798	−	0.338168i
$990$	−5.00955	+	5.90705i	−0.159214	+	0.187738i
$991$			8.41958i			0.267457i	0.991018	+	0.133728i	$0.0426950\pi$
$991$			8.41958i			0.267457i	−0.991018	+	0.133728i	$0.957305\pi$
$992$	−5.21092	+	1.96120i	−0.165447	+	0.0622683i
$993$	−39.4444	−	25.1919i	−1.25173	−	0.799442i
$994$	7.84266	+	24.1372i	0.248754	+	0.765587i
$995$	−11.1435	−	32.6772i	−0.353271	−	1.03594i
$996$	−8.65141	+	0.519274i	−0.274131	+	0.0164538i
$997$	14.6844	+	8.47805i	0.465060	+	0.268502i	0.714169	−	0.699973i	$-0.246805\pi$
$997$	14.6844	+	8.47805i	0.465060	+	0.268502i	−0.249110	+	0.968475i	$0.580138\pi$
$998$	13.8980	−	8.02400i	0.439933	−	0.253995i
$999$	0.213584	+	0.131888i	0.00675749	+	0.00417275i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.a.179.20	yes	256
3.2	odd	2		930.2.bo.b.179.24	yes	256
5.4	even	2		930.2.bo.b.179.13	yes	256
15.14	odd	2	inner	930.2.bo.a.179.9	✓	256
31.22	odd	30	inner	930.2.bo.a.239.9	yes	256
93.53	even	30		930.2.bo.b.239.13	yes	256
155.84	odd	30		930.2.bo.b.239.24	yes	256
465.239	even	30	inner	930.2.bo.a.239.20	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.9	✓	256	15.14	odd	2	inner
930.2.bo.a.179.20	yes	256	1.1	even	1	trivial
930.2.bo.a.239.9	yes	256	31.22	odd	30	inner
930.2.bo.a.239.20	yes	256	465.239	even	30	inner
930.2.bo.b.179.13	yes	256	5.4	even	2
930.2.bo.b.179.24	yes	256	3.2	odd	2
930.2.bo.b.239.13	yes	256	93.53	even	30
930.2.bo.b.239.24	yes	256	155.84	odd	30

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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(0.608421 - 1.62167i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.879797 - 2.05571i) q^{5} +(1.73032 + 0.0775177i) q^{6} +(-1.34591 + 3.02296i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.25965 - 1.97332i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(0.608421 - 1.62167i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.879797 - 2.05571i) q^{5} +(1.73032 + 0.0775177i) q^{6} +(-1.34591 + 3.02296i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.25965 - 1.97332i) q^{9} +(2.22697 + 0.201486i) q^{10} +(-0.120688 - 1.14827i) q^{11} +(0.460973 + 1.66958i) q^{12} +(-4.21467 - 4.68087i) q^{13} +(-3.29092 - 0.345889i) q^{14} +(-2.79841 - 2.67748i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-3.08976 - 0.324747i) q^{17} +(1.17847 - 2.75884i) q^{18} +(2.82222 - 3.13439i) q^{19} +(0.496548 + 2.18024i) q^{20} +(4.08338 + 4.02186i) q^{21} +(1.05477 - 0.469615i) q^{22} +(3.96193 - 5.45313i) q^{23} +(-1.44542 + 0.954341i) q^{24} +(-3.45192 - 3.61722i) q^{25} +(3.14936 - 5.45486i) q^{26} +(-4.57490 + 2.46380i) q^{27} +(-0.687989 - 3.23673i) q^{28} +(1.70589 + 5.25019i) q^{29} +(1.68168 - 3.48883i) q^{30} +(-5.21092 + 1.96120i) q^{31} +1.00000 q^{32} +(-1.93554 - 0.502914i) q^{33} +(-0.645936 - 3.03889i) q^{34} +(5.03022 + 5.42639i) q^{35} +(2.98798 + 0.268260i) q^{36} +(-0.0241547 - 0.0418371i) q^{37} +(3.85310 + 1.71551i) q^{38} +(-10.1551 + 3.98688i) q^{39} +(-1.92009 + 1.14598i) q^{40} +(-0.141204 + 0.664315i) q^{41} +(-2.56318 + 5.12634i) q^{42} +(1.07932 - 1.19870i) q^{43} +(0.772574 + 0.858030i) q^{44} +(-6.04461 + 2.90907i) q^{45} +(6.41054 + 2.08291i) q^{46} +(3.17476 - 9.77091i) q^{47} +(-1.35429 - 1.07977i) q^{48} +(-2.64291 - 2.93525i) q^{49} +(2.37348 - 4.40075i) q^{50} +(-2.40651 + 4.81300i) q^{51} +(6.16108 + 1.30958i) q^{52} +(-3.83443 - 8.61227i) q^{53} +(-3.75694 - 3.58963i) q^{54} +(-2.46669 - 0.762143i) q^{55} +(2.86572 - 1.65452i) q^{56} +(-3.36587 - 6.48375i) q^{57} +(-4.46608 + 3.24480i) q^{58} +(1.32774 + 6.24654i) q^{59} +(3.83774 + 0.521264i) q^{60} +6.48797i q^{61} +(-3.47548 - 4.34983i) q^{62} +(9.00655 - 4.17492i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-13.3306 + 4.54594i) q^{65} +(-0.119817 - 1.99622i) q^{66} +(-3.45989 - 1.99757i) q^{67} +(2.69055 - 1.55339i) q^{68} +(-6.43268 - 9.74276i) q^{69} +(-3.60639 + 6.46087i) q^{70} +(-3.11955 - 7.00663i) q^{71} +(0.668207 + 2.92464i) q^{72} +(-1.14143 - 10.8600i) q^{73} +(0.0323253 - 0.0359008i) q^{74} +(-7.96617 + 3.39709i) q^{75} +(-0.440874 + 4.19464i) q^{76} +(3.63360 + 1.18063i) q^{77} +(-6.92986 - 8.42608i) q^{78} +(10.5402 + 1.10782i) q^{79} +(-1.68323 - 1.47199i) q^{80} +(1.21203 + 8.91801i) q^{81} +(-0.675435 + 0.0709911i) q^{82} +(-1.04037 + 4.89454i) q^{83} +(-5.66751 - 0.853601i) q^{84} +(-3.38595 + 6.06595i) q^{85} +(1.47356 + 0.656071i) q^{86} +(9.55199 + 0.427927i) q^{87} +(-0.577297 + 0.999907i) q^{88} +(9.81568 - 7.13151i) q^{89} +(-4.63458 - 4.84981i) q^{90} +(19.8226 - 6.44076i) q^{91} +6.74044i q^{92} +(0.0100028 + 9.64365i) q^{93} +10.2737 q^{94} +(-3.96044 - 8.55931i) q^{95} +(0.608421 - 1.62167i) q^{96} +(10.2337 + 14.0855i) q^{97} +(1.97488 - 3.42060i) q^{98} +(-1.99319 + 2.83284i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9}+O(q^{10}) \) 256 * q - 64 * q^2 - 64 * q^4 - 2 * q^5 - 64 * q^8 + 4 * q^9	\( 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9} - 2 q^{10} + 20 q^{15} - 64 q^{16} - 6 q^{17} - 6 q^{18} - 4 q^{19} + 3 q^{20} + 20 q^{23} - 2 q^{25} + 42 q^{31} + 256 q^{32} + 8 q^{33} + 14 q^{34} - 16 q^{35} + 4 q^{36} + 36 q^{38} + 8 q^{39} + 3 q^{40} - 79 q^{45} - 10 q^{46} - 6 q^{47} - 40 q^{49} - 7 q^{50} + 68 q^{51} - 34 q^{53} - 6 q^{57} - 20 q^{60} + 2 q^{62} - 72 q^{63} - 64 q^{64} + 8 q^{66} - 6 q^{68} + 10 q^{69} - 16 q^{70} - 6 q^{72} - 2 q^{75} - 24 q^{76} + 100 q^{77} + 8 q^{78} + 40 q^{79} - 2 q^{80} + 12 q^{81} - 26 q^{83} - 30 q^{85} + 16 q^{87} - 49 q^{90} - 20 q^{91} - 22 q^{93} + 4 q^{94} + 56 q^{95} + 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q - 64 * q^2 - 64 * q^4 - 2 * q^5 - 64 * q^8 + 4 * q^9 - 2 * q^10 + 20 * q^15 - 64 * q^16 - 6 * q^17 - 6 * q^18 - 4 * q^19 + 3 * q^20 + 20 * q^23 - 2 * q^25 + 42 * q^31 + 256 * q^32 + 8 * q^33 + 14 * q^34 - 16 * q^35 + 4 * q^36 + 36 * q^38 + 8 * q^39 + 3 * q^40 - 79 * q^45 - 10 * q^46 - 6 * q^47 - 40 * q^49 - 7 * q^50 + 68 * q^51 - 34 * q^53 - 6 * q^57 - 20 * q^60 + 2 * q^62 - 72 * q^63 - 64 * q^64 + 8 * q^66 - 6 * q^68 + 10 * q^69 - 16 * q^70 - 6 * q^72 - 2 * q^75 - 24 * q^76 + 100 * q^77 + 8 * q^78 + 40 * q^79 - 2 * q^80 + 12 * q^81 - 26 * q^83 - 30 * q^85 + 16 * q^87 - 49 * q^90 - 20 * q^91 - 22 * q^93 + 4 * q^94 + 56 * q^95 + 130 * q^98 + 102 * q^99

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