LMFDB - Embedded newform 165.2.w.a.7.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(7,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 14]))

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

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

chi := DirichletCharacter("165.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.w (of order $20$, 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:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$12$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			7.8
Character	$\chi$	$=$	165.7
Dual form			165.2.w.a.118.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.779339 - 0.123435i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.30998 + 0.425638i) q^{4} +(1.13825 + 1.92468i) q^{5} +(0.463794 + 0.638358i) q^{6} +(0.804274 + 0.409798i) q^{7} +(-2.37448 + 1.20986i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})$	\(q+(0.779339 - 0.123435i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.30998 + 0.425638i) q^{4} +(1.13825 + 1.92468i) q^{5} +(0.463794 + 0.638358i) q^{6} +(0.804274 + 0.409798i) q^{7} +(-2.37448 + 1.20986i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(1.12466 + 1.35948i) q^{10} +(2.56446 - 2.10322i) q^{11} +(-0.973965 - 0.973965i) q^{12} +(-0.100798 - 0.636414i) q^{13} +(0.677386 + 0.220096i) q^{14} +(-1.19814 + 1.88798i) q^{15} +(0.527482 - 0.383238i) q^{16} +(0.511838 - 3.23162i) q^{17} +(-0.358223 + 0.703052i) q^{18} +(-0.133908 + 0.412125i) q^{19} +(-2.31030 - 2.03680i) q^{20} +0.902658i q^{21} +(1.73897 - 1.95567i) q^{22} +(2.12647 - 2.12647i) q^{23} +(-2.15599 - 1.56642i) q^{24} +(-2.40876 + 4.38154i) q^{25} +(-0.157112 - 0.483540i) q^{26} +(-0.987688 - 0.156434i) q^{27} +(-1.22801 - 0.194497i) q^{28} +(-3.10305 - 9.55022i) q^{29} +(-0.700717 + 1.61927i) q^{30} +(-2.31994 - 1.68553i) q^{31} +(4.13258 - 4.13258i) q^{32} +(3.03822 + 1.33011i) q^{33} -2.58171i q^{34} +(0.126739 + 2.01442i) q^{35} +(0.425638 - 1.30998i) q^{36} +(-5.10171 + 10.0127i) q^{37} +(-0.0534887 + 0.337714i) q^{38} +(0.521287 - 0.378737i) q^{39} +(-5.03135 - 3.19299i) q^{40} +(2.59189 + 0.842157i) q^{41} +(0.111420 + 0.703477i) q^{42} +(4.43699 + 4.43699i) q^{43} +(-2.46418 + 3.84671i) q^{44} +(-2.22614 - 0.210430i) q^{45} +(1.39476 - 1.91973i) q^{46} +(4.01047 - 2.04343i) q^{47} +(0.580940 + 0.296004i) q^{48} +(-3.63557 - 5.00394i) q^{49} +(-1.33640 + 3.71203i) q^{50} +(3.11176 - 1.01107i) q^{51} +(0.402925 + 0.790786i) q^{52} +(3.04883 - 0.482887i) q^{53} -0.789054 q^{54} +(6.96703 + 2.54176i) q^{55} -2.40553 q^{56} +(-0.427999 + 0.0677884i) q^{57} +(-3.59716 - 7.05983i) q^{58} +(-8.23970 + 2.67724i) q^{59} +(0.765948 - 2.98319i) q^{60} +(-7.30647 - 10.0565i) q^{61} +(-2.01607 - 1.02724i) q^{62} +(-0.804274 + 0.409798i) q^{63} +(1.94410 - 2.67583i) q^{64} +(1.11016 - 0.918404i) q^{65} +(2.53199 + 0.661584i) q^{66} +(5.55019 + 5.55019i) q^{67} +(0.705003 + 4.45121i) q^{68} +(2.86010 + 0.929303i) q^{69} +(0.347423 + 1.55427i) q^{70} +(-4.31826 + 3.13740i) q^{71} +(0.416889 - 2.63214i) q^{72} +(-2.58875 + 5.08071i) q^{73} +(-2.74005 + 8.43299i) q^{74} +(-4.99753 - 0.157042i) q^{75} -0.596872i q^{76} +(2.92443 - 0.640653i) q^{77} +(0.359510 - 0.359510i) q^{78} +(11.6789 + 8.48522i) q^{79} +(1.33802 + 0.579010i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(2.12391 + 0.336395i) q^{82} +(6.69388 + 1.06021i) q^{83} +(-0.384206 - 1.18246i) q^{84} +(6.80242 - 2.69328i) q^{85} +(4.00560 + 2.91024i) q^{86} +(7.10055 - 7.10055i) q^{87} +(-3.54467 + 8.09670i) q^{88} -5.21798i q^{89} +(-1.76090 + 0.110788i) q^{90} +(0.179732 - 0.553158i) q^{91} +(-1.88053 + 3.69074i) q^{92} +(0.448591 - 2.83229i) q^{93} +(2.87328 - 2.08756i) q^{94} +(-0.945628 + 0.211374i) q^{95} +(5.55831 + 1.80601i) q^{96} +(1.15945 + 7.32050i) q^{97} +(-3.45101 - 3.45101i) q^{98} +(0.194187 + 3.31094i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 8 q^{5} - 20 q^{7}+O(q^{10}) $ 96 * q - 8 * q^5 - 20 * q^7	$ 96 q - 8 q^{5} - 20 q^{7} + 8 q^{11} - 16 q^{12} - 12 q^{15} + 8 q^{16} - 20 q^{17} - 60 q^{20} - 32 q^{22} + 32 q^{23} - 32 q^{25} - 60 q^{28} - 40 q^{30} + 16 q^{31} - 16 q^{33} + 24 q^{36} + 8 q^{37} + 56 q^{38} - 120 q^{41} + 12 q^{42} - 200 q^{46} + 60 q^{47} + 48 q^{48} + 80 q^{50} + 40 q^{51} + 40 q^{52} + 36 q^{53} + 80 q^{55} - 80 q^{56} + 40 q^{57} + 44 q^{58} + 48 q^{60} + 40 q^{61} + 80 q^{62} + 20 q^{63} + 56 q^{66} - 48 q^{67} + 80 q^{68} - 92 q^{70} + 32 q^{71} - 60 q^{73} - 24 q^{77} - 96 q^{78} - 80 q^{80} + 24 q^{81} + 32 q^{82} - 200 q^{83} - 80 q^{85} - 80 q^{86} - 144 q^{88} + 56 q^{91} + 20 q^{92} - 72 q^{93} + 60 q^{95} + 32 q^{97}+O(q^{100}) $ 96 * q - 8 * q^5 - 20 * q^7 + 8 * q^11 - 16 * q^12 - 12 * q^15 + 8 * q^16 - 20 * q^17 - 60 * q^20 - 32 * q^22 + 32 * q^23 - 32 * q^25 - 60 * q^28 - 40 * q^30 + 16 * q^31 - 16 * q^33 + 24 * q^36 + 8 * q^37 + 56 * q^38 - 120 * q^41 + 12 * q^42 - 200 * q^46 + 60 * q^47 + 48 * q^48 + 80 * q^50 + 40 * q^51 + 40 * q^52 + 36 * q^53 + 80 * q^55 - 80 * q^56 + 40 * q^57 + 44 * q^58 + 48 * q^60 + 40 * q^61 + 80 * q^62 + 20 * q^63 + 56 * q^66 - 48 * q^67 + 80 * q^68 - 92 * q^70 + 32 * q^71 - 60 * q^73 - 24 * q^77 - 96 * q^78 - 80 * q^80 + 24 * q^81 + 32 * q^82 - 200 * q^83 - 80 * q^85 - 80 * q^86 - 144 * q^88 + 56 * q^91 + 20 * q^92 - 72 * q^93 + 60 * q^95 + 32 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$1$	$e\left(\frac{1}{4}\right)$

Coefficient data

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

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

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

$2$	0.779339	−	0.123435i	0.551076	−	0.0872819i	0.125314	−	0.992117i	$-0.460006\pi$
$2$	0.779339	−	0.123435i	0.551076	−	0.0872819i	0.425762	+	0.904835i	$0.360006\pi$
$3$	0.453990	+	0.891007i	0.262112	+	0.514423i
$3$	0.453990	+	0.891007i	0.262112	+	0.514423i
$4$	−1.30998	+	0.425638i	−0.654990	+	0.212819i
$5$	1.13825	+	1.92468i	0.509042	+	0.860741i
$5$	1.13825	+	1.92468i	0.509042	+	0.860741i
$6$	0.463794	+	0.638358i	0.189343	+	0.260608i
$7$	0.804274	+	0.409798i	0.303987	+	0.154889i	0.599330	−	0.800502i	$-0.295434\pi$
$7$	0.804274	+	0.409798i	0.303987	+	0.154889i	−0.295343	+	0.955391i	$0.595434\pi$
$8$	−2.37448	+	1.20986i	−0.839507	+	0.427750i
$9$	−0.587785	+	0.809017i	−0.195928	+	0.269672i
$10$	1.12466	+	1.35948i	0.355648	+	0.429904i
$11$	2.56446	−	2.10322i	0.773215	−	0.634145i
$11$	2.56446	−	2.10322i	0.773215	−	0.634145i
$12$	−0.973965	−	0.973965i	−0.281159	−	0.281159i
$13$	−0.100798	−	0.636414i	−0.0279563	−	0.176509i	0.969759	−	0.244063i	$-0.0784805\pi$
$13$	−0.100798	−	0.636414i	−0.0279563	−	0.176509i	−0.997716	+	0.0675540i	$0.978481\pi$
$14$	0.677386	+	0.220096i	0.181039	+	0.0588231i
$15$	−1.19814	+	1.88798i	−0.309359	+	0.487473i
$16$	0.527482	−	0.383238i	0.131871	−	0.0958096i
$17$	0.511838	−	3.23162i	0.124139	−	0.783783i	−0.844545	−	0.535485i	$-0.820129\pi$
$17$	0.511838	−	3.23162i	0.124139	−	0.783783i	0.968684	−	0.248298i	$-0.0798711\pi$
$18$	−0.358223	+	0.703052i	−0.0844339	+	0.165711i
$19$	−0.133908	+	0.412125i	−0.0307205	+	0.0945480i	−0.965241	−	0.261361i	$-0.915829\pi$
$19$	−0.133908	+	0.412125i	−0.0307205	+	0.0945480i	0.934521	+	0.355909i	$0.115829\pi$
$20$	−2.31030	−	2.03680i	−0.516600	−	0.455443i
$21$			0.902658i			0.196976i
$22$	1.73897	−	1.95567i	0.370751	−	0.416949i
$23$	2.12647	−	2.12647i	0.443400	−	0.443400i	−0.449753	−	0.893153i	$-0.648488\pi$
$23$	2.12647	−	2.12647i	0.443400	−	0.443400i	0.893153	+	0.449753i	$0.148488\pi$
$24$	−2.15599	−	1.56642i	−0.440089	−	0.319743i
$25$	−2.40876	+	4.38154i	−0.481752	+	0.876308i
$26$	−0.157112	−	0.483540i	−0.0308121	−	0.0948300i
$27$	−0.987688	−	0.156434i	−0.190081	−	0.0301058i
$28$	−1.22801	−	0.194497i	−0.232072	−	0.0367566i
$29$	−3.10305	−	9.55022i	−0.576223	−	1.77343i	−0.631978	−	0.774986i	$-0.717757\pi$
$29$	−3.10305	−	9.55022i	−0.576223	−	1.77343i	0.0557553	−	0.998444i	$-0.482243\pi$
$30$	−0.700717	+	1.61927i	−0.127933	+	0.295636i
$31$	−2.31994	−	1.68553i	−0.416673	−	0.302731i	0.359625	−	0.933097i	$-0.382905\pi$
$31$	−2.31994	−	1.68553i	−0.416673	−	0.302731i	−0.776298	+	0.630366i	$0.782905\pi$
$32$	4.13258	−	4.13258i	0.730545	−	0.730545i
$33$	3.03822	+	1.33011i	0.528887	+	0.231543i
$34$		−	2.58171i		−	0.442759i
$35$	0.126739	+	2.01442i	0.0214228	+	0.340499i
$36$	0.425638	−	1.30998i	0.0709397	−	0.218330i
$37$	−5.10171	+	10.0127i	−0.838716	+	1.64607i	−0.0780310	+	0.996951i	$0.524863\pi$
$37$	−5.10171	+	10.0127i	−0.838716	+	1.64607i	−0.760685	+	0.649121i	$0.775137\pi$
$38$	−0.0534887	+	0.337714i	−0.00867701	+	0.0547845i
$39$	0.521287	−	0.378737i	0.0834728	−	0.0606465i
$40$	−5.03135	−	3.19299i	−0.795527	−	0.504855i
$41$	2.59189	+	0.842157i	0.404785	+	0.131523i	0.504331	−	0.863510i	$-0.331739\pi$
$41$	2.59189	+	0.842157i	0.404785	+	0.131523i	−0.0995459	+	0.995033i	$0.531739\pi$
$42$	0.111420	+	0.703477i	0.0171924	+	0.108549i
$43$	4.43699	+	4.43699i	0.676634	+	0.676634i	0.959237	−	0.282603i	$-0.0911979\pi$
$43$	4.43699	+	4.43699i	0.676634	+	0.676634i	−0.282603	+	0.959237i	$0.591198\pi$
$44$	−2.46418	+	3.84671i	−0.371490	+	0.579913i
$45$	−2.22614	−	0.210430i	−0.331854	−	0.0313691i
$46$	1.39476	−	1.91973i	0.205646	−	0.283048i
$47$	4.01047	−	2.04343i	0.584986	−	0.298066i	−0.136338	−	0.990662i	$-0.543533\pi$
$47$	4.01047	−	2.04343i	0.584986	−	0.298066i	0.721325	+	0.692597i	$0.243533\pi$
$48$	0.580940	+	0.296004i	0.0838514	+	0.0427244i
$49$	−3.63557	−	5.00394i	−0.519368	−	0.714848i
$50$	−1.33640	+	3.71203i	−0.188996	+	0.524960i
$51$	3.11176	−	1.01107i	0.435734	−	0.141579i
$52$	0.402925	+	0.790786i	0.0558757	+	0.109662i
$53$	3.04883	−	0.482887i	0.418789	−	0.0663296i	0.0565159	−	0.998402i	$-0.482001\pi$
$53$	3.04883	−	0.482887i	0.418789	−	0.0663296i	0.362273	+	0.932072i	$0.382001\pi$
$54$	−0.789054			−0.107377
$55$	6.96703	+	2.54176i	0.939433	+	0.342731i
$56$	−2.40553			−0.321453
$57$	−0.427999	+	0.0677884i	−0.0566899	+	0.00897879i
$58$	−3.59716	−	7.05983i	−0.472331	−	0.927001i
$59$	−8.23970	+	2.67724i	−1.07272	+	0.348547i	−0.791545	−	0.611110i	$-0.790723\pi$
$59$	−8.23970	+	2.67724i	−1.07272	+	0.348547i	−0.281172	+	0.959657i	$0.590723\pi$
$60$	0.765948	−	2.98319i	0.0988835	−	0.385128i
$61$	−7.30647	−	10.0565i	−0.935498	−	1.28760i	−0.957676	−	0.287849i	$-0.907060\pi$
$61$	−7.30647	−	10.0565i	−0.935498	−	1.28760i	0.0221777	−	0.999754i	$-0.492940\pi$
$62$	−2.01607	−	1.02724i	−0.256041	−	0.130460i
$63$	−0.804274	+	0.409798i	−0.101329	+	0.0516297i
$64$	1.94410	−	2.67583i	0.243013	−	0.334478i
$65$	1.11016	−	0.918404i	0.137698	−	0.113914i
$66$	2.53199	+	0.661584i	0.311666	+	0.0814353i
$67$	5.55019	+	5.55019i	0.678064	+	0.678064i	0.959562	−	0.281498i	$-0.0908313\pi$
$67$	5.55019	+	5.55019i	0.678064	+	0.678064i	−0.281498	+	0.959562i	$0.590831\pi$
$68$	0.705003	+	4.45121i	0.0854941	+	0.539789i
$69$	2.86010	+	0.929303i	0.344316	+	0.111875i
$70$	0.347423	+	1.55427i	0.0415250	+	0.185771i
$71$	−4.31826	+	3.13740i	−0.512483	+	0.372341i	−0.813765	−	0.581195i	$-0.802586\pi$
$71$	−4.31826	+	3.13740i	−0.512483	+	0.372341i	0.301282	+	0.953535i	$0.402586\pi$
$72$	0.416889	−	2.63214i	0.0491309	−	0.310200i
$73$	−2.58875	+	5.08071i	−0.302991	+	0.594653i	−0.991430	−	0.130642i	$-0.958296\pi$
$73$	−2.58875	+	5.08071i	−0.302991	+	0.594653i	0.688439	+	0.725294i	$0.258296\pi$
$74$	−2.74005	+	8.43299i	−0.318524	+	0.980316i
$75$	−4.99753	−	0.157042i	−0.577065	−	0.0181337i
$76$		−	0.596872i		−	0.0684659i
$77$	2.92443	−	0.640653i	0.333269	−	0.0730092i
$78$	0.359510	−	0.359510i	0.0407065	−	0.0407065i
$79$	11.6789	+	8.48522i	1.31398	+	0.954661i	0.999986	+	0.00523588i	$0.00166664\pi$
$79$	11.6789	+	8.48522i	1.31398	+	0.954661i	0.313992	+	0.949426i	$0.398333\pi$
$80$	1.33802	+	0.579010i	0.149595	+	0.0647353i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	2.12391	+	0.336395i	0.234547	+	0.0371486i
$83$	6.69388	+	1.06021i	0.734749	+	0.116373i	0.512585	−	0.858636i	$-0.328688\pi$
$83$	6.69388	+	1.06021i	0.734749	+	0.116373i	0.222164	+	0.975009i	$0.428688\pi$
$84$	−0.384206	−	1.18246i	−0.0419203	−	0.129017i
$85$	6.80242	−	2.69328i	0.737826	−	0.292127i
$86$	4.00560	+	2.91024i	0.431935	+	0.313819i
$87$	7.10055	−	7.10055i	0.761259	−	0.761259i
$88$	−3.54467	+	8.09670i	−0.377863	+	0.863111i
$89$		−	5.21798i		−	0.553105i	−0.960999	−	0.276553i	$-0.910808\pi$
$89$		−	5.21798i		−	0.553105i	0.960999	−	0.276553i	$-0.0891920\pi$
$90$	−1.76090	+	0.110788i	−0.185615	+	0.0116781i
$91$	0.179732	−	0.553158i	0.0188410	−	0.0579867i
$92$	−1.88053	+	3.69074i	−0.196059	+	0.384787i
$93$	0.448591	−	2.83229i	0.0465168	−	0.293695i
$94$	2.87328	−	2.08756i	0.296356	−	0.215315i
$95$	−0.945628	+	0.211374i	−0.0970194	+	0.0216865i
$96$	5.55831	+	1.80601i	0.567293	+	0.184325i
$97$	1.15945	+	7.32050i	0.117725	+	0.743284i	0.973964	+	0.226704i	$0.0727951\pi$
$97$	1.15945	+	7.32050i	0.117725	+	0.743284i	−0.856239	+	0.516580i	$0.827205\pi$
$98$	−3.45101	−	3.45101i	−0.348604	−	0.348604i
$99$	0.194187	+	3.31094i	0.0195165	+	0.332761i
$100$	1.29047	−	6.76499i	0.129047	−	0.676499i
$101$	−6.01322	+	8.27649i	−0.598338	+	0.823541i	−0.995555	−	0.0941833i	$-0.969976\pi$
$101$	−6.01322	+	8.27649i	−0.598338	+	0.823541i	0.397217	+	0.917725i	$0.369976\pi$
$102$	2.30032	−	1.17207i	0.227765	−	0.116052i
$103$	−8.59023	−	4.37694i	−0.846420	−	0.431273i	−0.0237000	−	0.999719i	$-0.507545\pi$
$103$	−8.59023	−	4.37694i	−0.846420	−	0.431273i	−0.822720	+	0.568446i	$0.807545\pi$
$104$	1.00931	+	1.38920i	0.0989715	+	0.136223i
$105$	−1.73732	+	1.02745i	−0.169546	+	0.100269i
$106$	2.31647	−	0.752666i	0.224995	−	0.0731053i
$107$	6.42340	+	12.6066i	0.620974	+	1.21873i	0.960538	+	0.278147i	$0.0897203\pi$
$107$	6.42340	+	12.6066i	0.620974	+	1.21873i	−0.339565	+	0.940583i	$0.610280\pi$
$108$	1.36044	−	0.215472i	0.130908	−	0.0207338i
$109$	−4.45188			−0.426413			−0.213206	−	0.977007i	$-0.568391\pi$
$109$	−4.45188			−0.426413			−0.213206	+	0.977007i	$0.568391\pi$
$110$	5.74342	+	1.12092i	0.547613	+	0.106875i
$111$	−11.2375			−1.06661
$112$	0.581291	−	0.0920674i	0.0549268	−	0.00869955i
$113$	−4.92584	−	9.66751i	−0.463384	−	0.909443i	−0.997930	−	0.0643037i	$-0.979517\pi$
$113$	−4.92584	−	9.66751i	−0.463384	−	0.909443i	0.534546	−	0.845139i	$-0.320483\pi$
$114$	−0.325189	+	0.105660i	−0.0304567	+	0.00989599i
$115$	6.51324	+	1.67231i	0.607363	+	0.155943i
$116$	8.12988	+	11.1898i	0.754840	+	1.03895i
$117$	0.574117	+	0.292527i	0.0530771	+	0.0270442i
$118$	−6.09105	+	3.10355i	−0.560727	+	0.285705i
$119$	1.73597	−	2.38936i	0.159136	−	0.219032i
$120$	0.560784	−	5.93255i	0.0511924	−	0.541566i
$121$	2.15294	−	10.7873i	0.195721	−	0.980660i
$122$	−6.93555	−	6.93555i	−0.627915	−	0.627915i
$123$	0.426327	+	2.69172i	0.0384406	+	0.242705i
$124$	3.75650	+	1.22056i	0.337343	+	0.109610i
$125$	−11.1748	+	0.351222i	−0.999506	+	0.0314142i
$126$	−0.576219	+	0.418647i	−0.0513337	+	0.0372961i
$127$	1.09988	−	6.94435i	0.0975983	−	0.616211i	−0.889603	−	0.456734i	$-0.849019\pi$
$127$	1.09988	−	6.94435i	0.0975983	−	0.616211i	0.987202	−	0.159477i	$-0.0509809\pi$
$128$	−4.12174	+	8.08937i	−0.364314	+	0.715006i
$129$	−1.93903	+	5.96773i	−0.170722	+	0.525430i
$130$	0.751825	−	0.852780i	0.0659394	−	0.0747938i
$131$			3.58746i			0.313438i	0.987643	+	0.156719i	$0.0500917\pi$
$131$			3.58746i			0.313438i	−0.987643	+	0.156719i	$0.949908\pi$
$132$	−4.54616	−	0.449234i	−0.395692	−	0.0391008i
$133$	−0.276587	+	0.276587i	−0.0239831	+	0.0239831i
$134$	5.01057	+	3.64039i	0.432847	+	0.314482i
$135$	−0.823154	−	2.07904i	−0.0708458	−	0.178935i
$136$	2.69445	+	8.29268i	0.231048	+	0.711091i
$137$	−21.4394	−	3.39566i	−1.83169	−	0.290111i	−0.857273	−	0.514862i	$-0.827843\pi$
$137$	−21.4394	−	3.39566i	−1.83169	−	0.290111i	−0.974416	+	0.224751i	$0.927843\pi$
$138$	2.34370	+	0.371205i	0.199509	+	0.0315991i
$139$	−5.18438	−	15.9559i	−0.439733	−	1.35336i	−0.888157	−	0.459539i	$-0.848015\pi$
$139$	−5.18438	−	15.9559i	−0.439733	−	1.35336i	0.448424	−	0.893821i	$-0.351985\pi$
$140$	−1.02344	−	2.58491i	−0.0864965	−	0.218465i
$141$	3.64143	+	2.64565i	0.306663	+	0.222804i
$142$	−2.97812	+	2.97812i	−0.249918	+	0.249918i
$143$	−1.59701	−	1.42006i	−0.133549	−	0.118751i
$144$			0.652004i			0.0543337i
$145$	14.8490	−	16.8429i	1.23314	−	1.39873i
$146$	−1.39038	+	4.27914i	−0.115068	+	0.354144i
$147$	2.80803	−	5.51106i	0.231602	−	0.454545i
$148$	2.42136	−	15.2879i	0.199035	−	1.25666i
$149$	3.93108	−	2.85610i	0.322046	−	0.233980i	−0.415002	−	0.909821i	$-0.636219\pi$
$149$	3.93108	−	2.85610i	0.322046	−	0.233980i	0.737048	+	0.675840i	$0.236219\pi$
$150$	−3.91416	+	0.494482i	−0.319590	+	0.0403743i
$151$	−15.8801	−	5.15977i	−1.29231	−	0.419896i	−0.419409	−	0.907797i	$-0.637763\pi$
$151$	−15.8801	−	5.15977i	−1.29231	−	0.419896i	−0.872899	+	0.487901i	$0.837763\pi$
$152$	−0.180652	−	1.14059i	−0.0146528	−	0.0925144i
$153$	2.31358	+	2.31358i	0.187042	+	0.187042i
$154$	2.20004	−	0.860263i	0.177284	−	0.0693220i
$155$	0.603429	−	6.38369i	0.0484686	−	0.512750i
$156$	−0.521671	+	0.718018i	−0.0417671	+	0.0574875i
$157$	−19.0196	+	9.69099i	−1.51793	+	0.773425i	−0.996791	−	0.0800453i	$-0.974493\pi$
$157$	−19.0196	+	9.69099i	−1.51793	+	0.773425i	−0.521141	+	0.853471i	$0.674493\pi$
$158$	10.1492	+	5.17127i	0.807427	+	0.411404i
$159$	1.81439	+	2.49730i	0.143891	+	0.198049i
$160$	12.6578	+	3.24996i	1.00069	+	0.256932i
$161$	2.58169	−	0.838843i	0.203466	−	0.0661101i
$162$	−0.358223	−	0.703052i	−0.0281446	−	0.0552370i
$163$	0.833138	−	0.131956i	0.0652564	−	0.0103356i	−0.123721	−	0.992317i	$-0.539483\pi$
$163$	0.833138	−	0.131956i	0.0652564	−	0.0103356i	0.188977	+	0.981981i	$0.439483\pi$
$164$	−3.75378			−0.293121
$165$	0.898235	+	7.36160i	0.0699275	+	0.573100i
$166$	5.34767			0.415060
$167$	−6.19448	+	0.981109i	−0.479343	+	0.0759205i	−0.391431	−	0.920208i	$-0.628020\pi$
$167$	−6.19448	+	0.981109i	−0.479343	+	0.0759205i	−0.0879127	+	0.996128i	$0.528020\pi$
$168$	−1.09209	−	2.14335i	−0.0842566	−	0.165363i
$169$	11.9689	−	3.88892i	0.920683	−	0.299148i
$170$	4.96895	−	2.93863i	0.381101	−	0.225383i
$171$	−0.254707	−	0.350575i	−0.0194780	−	0.0268091i
$172$	−7.70091	−	3.92381i	−0.587189	−	0.299188i
$173$	10.1032	−	5.14784i	0.768132	−	0.391383i	−0.0255827	−	0.999673i	$-0.508144\pi$
$173$	10.1032	−	5.14784i	0.768132	−	0.391383i	0.793715	+	0.608290i	$0.208144\pi$
$174$	4.65728	−	6.41019i	0.353067	−	0.485955i
$175$	−3.73285	+	2.53685i	−0.282177	+	0.191768i
$176$	0.546674	−	2.09221i	0.0412071	−	0.157706i
$177$	−6.12618	−	6.12618i	−0.460472	−	0.460472i
$178$	−0.644083	−	4.06658i	−0.0482760	−	0.304803i
$179$	13.6708	+	4.44190i	1.02180	+	0.332003i	0.771544	−	0.636176i	$-0.219485\pi$
$179$	13.6708	+	4.44190i	1.02180	+	0.332003i	0.250257	+	0.968179i	$0.419485\pi$
$180$	3.00577	−	0.671873i	0.224037	−	0.0500785i
$181$	−16.2811	+	11.8289i	−1.21016	+	0.879234i	−0.995246	−	0.0973978i	$-0.968948\pi$
$181$	−16.2811	+	11.8289i	−1.21016	+	0.879234i	−0.214917	+	0.976632i	$0.568948\pi$
$182$	0.0717930	−	0.453283i	0.00532165	−	0.0335996i
$183$	5.64334	−	11.0757i	0.417167	−	0.818737i
$184$	−2.47654	+	7.62201i	−0.182573	+	0.561902i
$185$	−25.0782	+	1.57781i	−1.84378	+	0.116003i
$186$		−	2.26269i		−	0.165908i
$187$	−5.48421	−	9.36387i	−0.401045	−	0.684754i
$188$	−4.38387	+	4.38387i	−0.319726	+	0.319726i
$189$	−0.730266	−	0.530569i	−0.0531190	−	0.0385932i
$190$	−0.710874	+	0.281456i	−0.0515722	+	0.0204190i
$191$	−5.31604	−	16.3611i	−0.384655	−	1.18385i	−0.936730	−	0.350052i	$-0.886164\pi$
$191$	−5.31604	−	16.3611i	−0.384655	−	1.18385i	0.552075	−	0.833794i	$-0.313836\pi$
$192$	3.26678	+	0.517408i	0.235760	+	0.0373407i
$193$	−10.0562	−	1.59274i	−0.723858	−	0.114648i	−0.216376	−	0.976310i	$-0.569424\pi$
$193$	−10.0562	−	1.59274i	−0.723858	−	0.114648i	−0.507482	+	0.861662i	$0.669424\pi$
$194$	1.80721	+	5.56203i	0.129750	+	0.399331i
$195$	1.32230	+	0.572210i	0.0946922	+	0.0409768i
$196$	6.89240	+	5.00762i	0.492314	+	0.357687i
$197$	10.0065	−	10.0065i	0.712934	−	0.712934i	−0.254214	−	0.967148i	$-0.581817\pi$
$197$	10.0065	−	10.0065i	0.712934	−	0.712934i	0.967148	+	0.254214i	$0.0818167\pi$
$198$	0.560023	+	2.55637i	0.0397991	+	0.181673i
$199$			9.90769i			0.702338i	0.936312	+	0.351169i	$0.114216\pi$
$199$			9.90769i			0.702338i	−0.936312	+	0.351169i	$0.885784\pi$
$200$	0.418509	−	13.3182i	0.0295930	−	0.941736i
$201$	−2.42552	+	7.46499i	−0.171083	+	0.526540i
$202$	−3.66473	+	7.19243i	−0.257849	+	0.506058i
$203$	1.41796	−	8.95262i	0.0995210	−	0.628351i
$204$	−3.64599	+	2.64897i	−0.255271	+	0.185465i
$205$	1.32935	+	5.94714i	0.0928459	+	0.415366i
$206$	−7.23497	−	2.35078i	−0.504084	−	0.163787i
$207$	0.470443	+	2.97026i	0.0326981	+	0.206447i
$208$	−0.297067	−	0.297067i	−0.0205979	−	0.0205979i
$209$	0.523389	+	1.33852i	0.0362036	+	0.0925871i
$210$	−1.22714	+	1.01518i	−0.0846808	+	0.0700542i
$211$	9.61989	−	13.2406i	0.662261	−	0.911523i	−0.337293	−	0.941400i	$-0.609511\pi$
$211$	9.61989	−	13.2406i	0.662261	−	0.911523i	0.999554	+	0.0298762i	$0.00951132\pi$
$212$	−3.78837	+	1.93027i	−0.260186	+	0.132572i
$213$	−4.75589	−	2.42325i	−0.325868	−	0.166038i
$214$	6.56211	+	9.03197i	0.448577	+	0.617413i
$215$	−3.48935	+	13.5902i	−0.237971	+	0.926842i
$216$	2.53451	−	0.823513i	0.172452	−	0.0560330i
$217$	−1.17514	−	2.30634i	−0.0797735	−	0.156564i
$218$	−3.46952	+	0.549519i	−0.234986	+	0.0372181i
$219$	−5.70222			−0.385320
$220$	−10.2085	−	0.364226i	−0.688259	−	0.0245561i
$221$	−2.10824			−0.141815
$222$	−8.75781	+	1.38710i	−0.587786	+	0.0930961i
$223$	10.2889	+	20.1932i	0.688997	+	1.35223i	0.924808	+	0.380435i	$0.124226\pi$
$223$	10.2889	+	20.1932i	0.688997	+	1.35223i	−0.235810	+	0.971799i	$0.575774\pi$
$224$	5.01726	−	1.63021i	0.335230	−	0.108923i
$225$	−2.12891	−	4.52413i	−0.141927	−	0.301609i
$226$	−5.03221	−	6.92625i	−0.334738	−	0.460727i
$227$	16.0869	+	8.19669i	1.06773	+	0.544033i	0.897338	−	0.441344i	$-0.145498\pi$
$227$	16.0869	+	8.19669i	1.06773	+	0.544033i	0.170387	+	0.985377i	$0.445498\pi$
$228$	0.531817	−	0.270974i	0.0352204	−	0.0179457i
$229$	1.51709	−	2.08809i	0.100252	−	0.137985i	−0.755944	−	0.654636i	$-0.772822\pi$
$229$	1.51709	−	2.08809i	0.100252	−	0.137985i	0.856196	+	0.516652i	$0.172822\pi$
$230$	5.28244	+	0.499332i	0.348314	+	0.0329250i
$231$	1.89849	+	2.31483i	0.124911	+	0.152305i
$232$	18.9226	+	18.9226i	1.24233	+	1.24233i
$233$	−1.81215	−	11.4415i	−0.118718	−	0.749557i	−0.973180	−	0.230043i	$-0.926113\pi$
$233$	−1.81215	−	11.4415i	−0.118718	−	0.749557i	0.854462	−	0.519514i	$-0.173887\pi$
$234$	0.483540	+	0.157112i	0.0316100	+	0.0102707i
$235$	8.49788	+	5.39290i	0.554340	+	0.351794i
$236$	9.65430	−	7.01426i	0.628442	−	0.456590i
$237$	−2.25827	+	14.2582i	−0.146691	+	0.926168i
$238$	1.05798	−	2.07640i	0.0685785	−	0.134593i
$239$	−1.66509	+	5.12463i	−0.107706	+	0.331485i	−0.990356	−	0.138546i	$-0.955757\pi$
$239$	−1.66509	+	5.12463i	−0.107706	+	0.331485i	0.882650	+	0.470031i	$0.155757\pi$
$240$	0.0915455	+	1.45505i	0.00590924	+	0.0939229i
$241$			24.2794i			1.56397i	0.623294	+	0.781987i	$0.285794\pi$
$241$			24.2794i			1.56397i	−0.623294	+	0.781987i	$0.714206\pi$
$242$	0.346340	−	8.67268i	0.0222636	−	0.557501i
$243$	0.707107	−	0.707107i	0.0453609	−	0.0453609i
$244$	13.8518	+	10.0639i	0.886768	+	0.644275i
$245$	5.49276	−	12.6931i	0.350919	−	0.810929i
$246$	0.664507	+	2.04514i	0.0423674	+	0.130393i
$247$	0.275780	+	0.0436792i	0.0175474	+	0.00277924i
$248$	7.54791	+	1.19547i	0.479293	+	0.0759125i
$249$	2.09431	+	6.44562i	0.132721	+	0.408474i
$250$	−8.66562	+	1.65309i	−0.548062	+	0.104550i
$251$	14.6118	+	10.6161i	0.922286	+	0.670080i	0.944092	−	0.329682i	$-0.106942\pi$
$251$	14.6118	+	10.6161i	0.922286	+	0.670080i	−0.0218059	+	0.999762i	$0.506942\pi$
$252$	0.879157	−	0.879157i	0.0553817	−	0.0553817i
$253$	0.980821	−	9.92570i	0.0616637	−	0.624023i
$254$		−	5.54777i		−	0.348098i
$255$	5.48796	+	4.83828i	0.343670	+	0.302985i
$256$	−4.25787	+	13.1044i	−0.266117	+	0.819024i
$257$	6.71320	−	13.1754i	0.418758	−	0.821859i	−0.581209	−	0.813754i	$-0.697420\pi$
$257$	6.71320	−	13.1754i	0.418758	−	0.821859i	0.999967	−	0.00810449i	$-0.00257977\pi$
$258$	−0.774537	+	4.89023i	−0.0482205	+	0.304453i
$259$	−8.20635	+	5.96226i	−0.509918	+	0.370477i
$260$	−1.06338	+	1.67562i	−0.0659477	+	0.103917i
$261$	9.55022	+	3.10305i	0.591144	+	0.192074i
$262$	0.442819	+	2.79585i	0.0273575	+	0.172728i
$263$	10.9966	+	10.9966i	0.678078	+	0.678078i	0.959565	−	0.281487i	$-0.0908276\pi$
$263$	10.9966	+	10.9966i	0.678078	+	0.678078i	−0.281487	+	0.959565i	$0.590828\pi$
$264$	−8.82346	+	0.517498i	−0.543046	+	0.0318498i
$265$	4.39974	+	5.31836i	0.270274	+	0.326704i
$266$	−0.181414	+	0.249695i	−0.0111232	+	0.0153098i
$267$	4.64926	−	2.36891i	0.284530	−	0.144975i
$268$	−9.63301	−	4.90826i	−0.588430	−	0.299820i
$269$	15.9235	+	21.9169i	0.970875	+	1.33629i	0.941604	+	0.336723i	$0.109319\pi$
$269$	15.9235	+	21.9169i	0.970875	+	1.33629i	0.0292708	+	0.999572i	$0.490681\pi$
$270$	−0.898143	−	1.51867i	−0.0546592	−	0.0924235i
$271$	1.67919	−	0.545602i	0.102003	−	0.0331429i	−0.257571	−	0.966259i	$-0.582922\pi$
$271$	1.67919	−	0.545602i	0.102003	−	0.0331429i	0.359574	+	0.933117i	$0.382922\pi$
$272$	−0.968494	−	1.90078i	−0.0587236	−	0.115252i
$273$	0.574464	−	0.0909862i	0.0347681	−	0.00550673i
$274$	−17.1277			−1.03472
$275$	3.03817	+	16.3024i	0.183208	+	0.983074i
$276$	−4.14222			−0.249332
$277$	−11.9431	+	1.89160i	−0.717589	+	0.113655i	−0.504542	−	0.863387i	$-0.668339\pi$
$277$	−11.9431	+	1.89160i	−0.717589	+	0.113655i	−0.213047	+	0.977042i	$0.568339\pi$
$278$	−6.00991	−	11.7951i	−0.360450	−	0.707423i
$279$	2.72725	−	0.886137i	0.163276	−	0.0530516i
$280$	−2.73811	−	4.62988i	−0.163633	−	0.276688i
$281$	−7.44238	−	10.2436i	−0.443975	−	0.611079i	0.527115	−	0.849794i	$-0.323274\pi$
$281$	−7.44238	−	10.2436i	−0.443975	−	0.611079i	−0.971090	+	0.238715i	$0.923274\pi$
$282$	3.16447	+	1.61238i	0.188442	+	0.0960158i
$283$	15.5399	−	7.91800i	0.923754	−	0.470676i	0.0736457	−	0.997284i	$-0.476537\pi$
$283$	15.5399	−	7.91800i	0.923754	−	0.470676i	0.850108	+	0.526608i	$0.176537\pi$
$284$	4.32143	−	5.94794i	0.256430	−	0.352946i
$285$	−0.617642	−	0.746599i	−0.0365860	−	0.0442247i
$286$	−1.41990	−	0.909580i	−0.0839603	−	0.0537846i
$287$	1.73948	+	1.73948i	0.102678	+	0.102678i
$288$	0.914259	+	5.77240i	0.0538732	+	0.340142i
$289$	5.98658	+	1.94516i	0.352152	+	0.114421i
$290$	9.49341	−	14.9593i	0.557472	−	0.878438i
$291$	−5.99623	+	4.35652i	−0.351505	+	0.255384i
$292$	1.22867	−	7.75751i	0.0719024	−	0.453974i
$293$	−10.0424	+	19.7093i	−0.586681	+	1.15143i	0.386694	+	0.922208i	$0.373617\pi$
$293$	−10.0424	+	19.7093i	−0.586681	+	1.15143i	−0.973375	+	0.229219i	$0.926383\pi$
$294$	1.50815	−	4.64159i	0.0879568	−	0.270703i
$295$	−14.5317	−	12.8114i	−0.846068	−	0.745907i
$296$		−	29.9473i		−	1.74065i
$297$	−2.86191	+	1.67616i	−0.166065	+	0.0972604i
$298$	2.71110	−	2.71110i	0.157050	−	0.157050i
$299$	−1.56766	−	1.13897i	−0.0906602	−	0.0658685i
$300$	6.61351	−	1.92142i	0.381831	−	0.110933i
$301$	1.75028	+	5.38682i	0.100885	+	0.310491i
$302$	−13.0129	−	2.06104i	−0.748809	−	0.118600i
$303$	−10.1044	−	1.60037i	−0.580480	−	0.0919390i
$304$	0.0873083	+	0.268707i	0.00500747	+	0.0154114i
$305$	11.0389	−	25.5094i	0.632085	−	1.46067i
$306$	2.08864	+	1.51749i	0.119400	+	0.0867490i
$307$	−0.994459	+	0.994459i	−0.0567568	+	0.0567568i	−0.734915	−	0.678159i	$-0.762778\pi$
$307$	−0.994459	+	0.994459i	−0.0567568	+	0.0567568i	0.678159	+	0.734915i	$0.262778\pi$
$308$	−3.55825	+	2.08399i	−0.202750	+	0.118746i
$309$		−	9.64104i		−	0.548459i
$310$	−0.317696	−	5.04954i	−0.0180439	−	0.286795i
$311$	2.28851	−	7.04330i	0.129769	−	0.399389i	−0.864971	−	0.501823i	$-0.832663\pi$
$311$	2.28851	−	7.04330i	0.129769	−	0.399389i	0.994740	+	0.102434i	$0.0326630\pi$
$312$	−0.779569	+	1.52999i	−0.0441344	+	0.0866187i
$313$	−0.990036	+	6.25084i	−0.0559602	+	0.353319i	0.943781	+	0.330571i	$0.107241\pi$
$313$	−0.990036	+	6.25084i	−0.0559602	+	0.353319i	−0.999741	+	0.0227474i	$0.992759\pi$
$314$	−13.6265	+	9.90026i	−0.768990	+	0.558704i
$315$	−1.70420	−	1.08151i	−0.0960206	−	0.0609364i
$316$	−18.9108	−	6.14448i	−1.06381	−	0.345654i
$317$	1.31214	+	8.28450i	0.0736969	+	0.465304i	0.996745	+	0.0806192i	$0.0256898\pi$
$317$	1.31214	+	8.28450i	0.0736969	+	0.465304i	−0.923048	+	0.384685i	$0.874310\pi$
$318$	1.72228	+	1.72228i	0.0965809	+	0.0965809i
$319$	−28.0439	−	17.9648i	−1.57016	−	1.00583i
$320$	7.36298	+	0.695998i	0.411603	+	0.0389075i
$321$	−8.31643	+	11.4466i	−0.464178	+	0.638886i
$322$	1.90847	−	0.972415i	0.106355	−	0.0541905i
$323$	1.26329	+	0.643680i	0.0702915	+	0.0358153i
$324$	0.809612	+	1.11434i	0.0449784	+	0.0619075i
$325$	3.03127	+	1.09132i	0.168145	+	0.0605353i
$326$	0.633009	−	0.205677i	0.0350591	−	0.0113914i
$327$	−2.02111	−	3.96665i	−0.111768	−	0.219357i
$328$	−7.17330	+	1.13614i	−0.396079	+	0.0627328i
$329$	4.06291			0.223995
$330$	1.60871	+	5.62631i	0.0885566	+	0.309718i
$331$	17.7262			0.974317			0.487159	−	0.873313i	$-0.338033\pi$
$331$	17.7262			0.974317			0.487159	+	0.873313i	$0.338033\pi$
$332$	−9.22012	+	1.46032i	−0.506020	+	0.0801456i
$333$	−5.10171	−	10.0127i	−0.279572	−	0.548691i
$334$	−4.70650	+	1.52923i	−0.257528	+	0.0836759i
$335$	−4.36480	+	16.9998i	−0.238474	+	0.928801i
$336$	0.345933	+	0.476136i	0.0188722	+	0.0259754i
$337$	22.4111	+	11.4190i	1.22081	+	0.622035i	0.941126	−	0.338057i	$-0.109770\pi$
$337$	22.4111	+	11.4190i	1.22081	+	0.622035i	0.279686	+	0.960092i	$0.409770\pi$
$338$	8.84778	−	4.50817i	0.481256	−	0.245212i
$339$	6.37753	−	8.77792i	0.346380	−	0.476751i
$340$	−7.76467	+	6.42351i	−0.421098	+	0.348364i
$341$	−9.49444	+	0.556851i	−0.514153	+	0.0301552i
$342$	−0.241777	−	0.241777i	−0.0130738	−	0.0130738i
$343$	−1.86184	−	11.7552i	−0.100530	−	0.634721i
$344$	−15.9037	−	5.16742i	−0.857469	−	0.278609i
$345$	1.46691	+	6.56255i	0.0789759	+	0.353316i
$346$	7.23840	−	5.25900i	0.389139	−	0.282726i
$347$	2.46727	−	15.5777i	0.132450	−	0.836256i	−0.828592	−	0.559853i	$-0.810858\pi$
$347$	2.46727	−	15.5777i	0.132450	−	0.836256i	0.961042	−	0.276403i	$-0.0891425\pi$
$348$	−6.27931	+	12.3238i	−0.336606	+	0.660627i
$349$	7.89180	−	24.2884i	0.422438	−	1.30013i	−0.482988	−	0.875627i	$-0.660449\pi$
$349$	7.89180	−	24.2884i	0.422438	−	1.30013i	0.905426	−	0.424504i	$-0.139551\pi$
$350$	−2.59602	+	2.43783i	−0.138763	+	0.130308i
$351$			0.644347i			0.0343927i
$352$	1.90613	−	19.2896i	0.101597	−	1.02814i
$353$	−13.4114	+	13.4114i	−0.713819	+	0.713819i	−0.967332	−	0.253513i	$-0.918414\pi$
$353$	−13.4114	+	13.4114i	−0.713819	+	0.713819i	0.253513	+	0.967332i	$0.418414\pi$
$354$	−5.53056	−	4.01819i	−0.293946	−	0.213564i
$355$	−10.9537	−	4.74010i	−0.581365	−	0.251578i
$356$	2.22097	+	6.83545i	0.117711	+	0.362278i
$357$	2.91705	+	0.462015i	0.154386	+	0.0244524i
$358$	11.2024	+	1.77429i	0.592068	+	0.0937743i
$359$	−10.0185	−	30.8337i	−0.528755	−	1.62734i	−0.756768	−	0.653683i	$-0.773223\pi$
$359$	−10.0185	−	30.8337i	−0.528755	−	1.62734i	0.228013	−	0.973658i	$-0.426777\pi$
$360$	5.54053	−	2.19366i	0.292012	−	0.115616i
$361$	15.2194	+	11.0575i	0.801021	+	0.581976i
$362$	−11.2284	+	11.2284i	−0.590150	+	0.590150i
$363$	10.5889	−	2.97903i	0.555775	−	0.156359i
$364$			0.801127i			0.0419904i
$365$	−12.7254	+	0.800628i	−0.666077	+	0.0419068i
$366$	3.03095	−	9.32829i	0.158430	−	0.487598i
$367$	12.2497	−	24.0414i	0.639430	−	1.25495i	−0.312872	−	0.949795i	$-0.601291\pi$
$367$	12.2497	−	24.0414i	0.639430	−	1.25495i	0.952302	−	0.305157i	$-0.0987089\pi$
$368$	0.306731	−	1.93662i	0.0159895	−	0.100953i
$369$	−2.20479	+	1.60188i	−0.114777	+	0.0833904i
$370$	−19.3497	+	4.32518i	−1.00594	+	0.224856i
$371$	2.64998	+	0.861031i	0.137580	+	0.0447025i
$372$	0.617887	+	3.90119i	0.0320360	+	0.202267i
$373$	15.9002	+	15.9002i	0.823279	+	0.823279i	0.986577	−	0.163298i	$-0.0522132\pi$
$373$	15.9002	+	15.9002i	0.823279	+	0.823279i	−0.163298	+	0.986577i	$0.552213\pi$
$374$	−5.42989	−	6.62069i	−0.280773	−	0.342348i
$375$	−5.38620	−	9.79739i	−0.278142	−	0.505935i
$376$	−7.05052	+	9.70420i	−0.363603	+	0.500456i
$377$	−5.76511	+	2.93747i	−0.296918	+	0.151287i
$378$	−0.634616	−	0.323353i	−0.0326411	−	0.0166315i
$379$	8.63810	+	11.8893i	0.443709	+	0.610713i	0.971031	−	0.238952i	$-0.0768039\pi$
$379$	8.63810	+	11.8893i	0.443709	+	0.610713i	−0.527322	+	0.849665i	$0.676804\pi$
$380$	1.14879	−	0.679391i	0.0589314	−	0.0348520i
$381$	6.68679	−	2.17267i	0.342575	−	0.111309i
$382$	−6.16253	−	12.0946i	−0.315303	−	0.618816i
$383$	−11.9054	+	1.88563i	−0.608337	+	0.0963510i	−0.453000	−	0.891511i	$-0.649646\pi$
$383$	−11.9054	+	1.88563i	−0.608337	+	0.0963510i	−0.155337	+	0.987862i	$0.549646\pi$
$384$	−9.07892			−0.463306
$385$	4.56179	+	4.89935i	0.232490	+	0.249694i
$386$	−8.03376			−0.408908
$387$	−6.19759	+	0.981602i	−0.315041	+	0.0498976i
$388$	−4.63474	−	9.09620i	−0.235293	−	0.461789i
$389$	2.61490	−	0.849633i	0.132581	−	0.0430781i	−0.241975	−	0.970282i	$-0.577795\pi$
$389$	2.61490	−	0.849633i	0.132581	−	0.0430781i	0.374556	+	0.927204i	$0.377795\pi$
$390$	1.10115	+	0.282727i	0.0557591	+	0.0143164i
$391$	−5.78354	−	7.96036i	−0.292486	−	0.402573i
$392$	14.6867	+	7.48324i	0.741789	+	0.377960i
$393$	−3.19645	+	1.62867i	−0.161240	+	0.0821557i
$394$	6.56331	−	9.03362i	0.330655	−	0.455107i
$395$	−3.03775	+	32.1364i	−0.152846	+	1.61696i
$396$	−1.66364	−	4.25460i	−0.0836011	−	0.213802i
$397$	6.84415	+	6.84415i	0.343498	+	0.343498i	0.857681	−	0.514183i	$-0.171905\pi$
$397$	6.84415	+	6.84415i	0.343498	+	0.343498i	−0.514183	+	0.857681i	$0.671905\pi$
$398$	1.22296	+	7.72145i	0.0613013	+	0.387041i
$399$	−0.372008	−	0.120873i	−0.0186237	−	0.00605121i
$400$	0.408596	+	3.23431i	0.0204298	+	0.161716i
$401$	14.0325	−	10.1952i	0.700750	−	0.509125i	−0.179426	−	0.983771i	$-0.557424\pi$
$401$	14.0325	−	10.1952i	0.700750	−	0.509125i	0.880176	+	0.474647i	$0.157424\pi$
$402$	−0.968862	+	6.11715i	−0.0483224	+	0.305096i
$403$	−0.838851	+	1.64634i	−0.0417862	+	0.0820099i
$404$	4.35441	−	13.4015i	0.216640	−	0.666749i
$405$	1.47874	−	1.67730i	0.0734790	−	0.0833458i
$406$		−	7.15215i		−	0.354955i
$407$	7.97570	+	36.4071i	0.395341	+	1.80463i
$408$	−6.16557	+	6.16557i	−0.305241	+	0.305241i
$409$	−7.38997	−	5.36913i	−0.365411	−	0.265486i	0.389895	−	0.920859i	$-0.372511\pi$
$409$	−7.38997	−	5.36913i	−0.365411	−	0.265486i	−0.755305	+	0.655373i	$0.772511\pi$
$410$	1.77010	+	4.47075i	0.0874191	+	0.220795i
$411$	−6.70771	−	20.6442i	−0.330867	−	1.01830i
$412$	13.1160	+	2.07737i	0.646180	+	0.102345i
$413$	−7.72411	−	1.22338i	−0.380078	−	0.0601985i
$414$	0.733270	+	2.25677i	0.0360382	+	0.110914i
$415$	5.57878	+	14.0903i	0.273852	+	0.691668i
$416$	−3.04659	−	2.21348i	−0.149371	−	0.108525i
$417$	11.8631	−	11.8631i	0.580940	−	0.580940i
$418$	0.573117	+	0.978554i	0.0280321	+	0.0478626i
$419$			3.78391i			0.184856i	0.995719	+	0.0924281i	$0.0294628\pi$
$419$			3.78391i			0.184856i	−0.995719	+	0.0924281i	$0.970537\pi$
$420$	1.83854	−	2.08542i	0.0897114	−	0.101758i
$421$	4.97931	−	15.3247i	0.242677	−	0.746883i	−0.753333	−	0.657639i	$-0.771555\pi$
$421$	4.97931	−	15.3247i	0.242677	−	0.746883i	0.996010	−	0.0892433i	$-0.0284449\pi$
$422$	5.86280	−	11.5064i	0.285396	−	0.560122i
$423$	−0.704119	+	4.44564i	−0.0342355	+	0.216154i
$424$	−6.65517	+	4.83526i	−0.323204	+	0.234821i
$425$	12.9266	+	10.0268i	0.627031	+	0.486372i
$426$	−4.00557	−	1.30149i	−0.194070	−	0.0630573i
$427$	−1.75527	−	11.0824i	−0.0849437	−	0.536313i
$428$	−13.7804	−	13.7804i	−0.666101	−	0.666101i
$429$	0.540254	−	2.06764i	0.0260837	−	0.0998266i
$430$	−1.04188	+	11.0221i	−0.0502439	+	0.531531i
$431$	−21.0360	+	28.9535i	−1.01327	+	1.39464i	−0.0964490	+	0.995338i	$0.530748\pi$
$431$	−21.0360	+	28.9535i	−1.01327	+	1.39464i	−0.916818	+	0.399305i	$0.869252\pi$
$432$	−0.580940	+	0.296004i	−0.0279505	+	0.0142415i
$433$	18.3258	+	9.33748i	0.880683	+	0.448731i	0.835016	−	0.550226i	$-0.185459\pi$
$433$	18.3258	+	9.33748i	0.880683	+	0.448731i	0.0456676	+	0.998957i	$0.485459\pi$
$434$	−1.20051	−	1.65237i	−0.0576265	−	0.0793161i
$435$	21.7485	+	5.58403i	1.04276	+	0.267734i
$436$	5.83187	−	1.89489i	0.279296	−	0.0907488i
$437$	0.591622	+	1.16112i	0.0283011	+	0.0555441i
$438$	−4.44396	+	0.703855i	−0.212341	+	0.0336315i
$439$	−41.5336			−1.98229			−0.991146	−	0.132779i	$-0.957610\pi$
$439$	−41.5336			−1.98229			−0.991146	+	0.132779i	$0.957610\pi$
$440$	−19.6183	+	2.39375i	−0.935264	+	0.114117i
$441$	6.18521			0.294534
$442$	−1.64303	+	0.260231i	−0.0781511	+	0.0123779i
$443$	6.73266	+	13.2136i	0.319878	+	0.627796i	0.993822	−	0.110986i	$-0.0354010\pi$
$443$	6.73266	+	13.2136i	0.319878	+	0.627796i	−0.673944	+	0.738783i	$0.735401\pi$
$444$	14.7209	−	4.78310i	0.698622	−	0.226996i
$445$	10.0429	−	5.93939i	0.476080	−	0.281554i
$446$	10.5111	+	14.4673i	0.497715	+	0.685047i
$447$	4.32947	+	2.20598i	0.204777	+	0.104339i
$448$	2.66014	−	1.35541i	0.125680	−	0.0640371i
$449$	17.7927	−	24.4895i	0.839689	−	1.15573i	−0.146353	−	0.989232i	$-0.546753\pi$
$449$	17.7927	−	24.4895i	0.839689	−	1.15573i	0.986041	−	0.166500i	$-0.0532465\pi$
$450$	−2.21758	−	3.26305i	−0.104538	−	0.153822i
$451$	8.41805	−	3.29164i	0.396390	−	0.154997i
$452$	10.5676	+	10.5676i	0.497059	+	0.497059i
$453$	−2.61204	−	16.4918i	−0.122725	−	0.774852i
$454$	13.5489	+	4.40231i	0.635882	+	0.206611i
$455$	1.26923	−	0.283708i	0.0595025	−	0.0133004i
$456$	0.934262	−	0.678781i	0.0437508	−	0.0317868i
$457$	0.472945	−	2.98606i	0.0221234	−	0.139682i	−0.974154	−	0.225884i	$-0.927473\pi$
$457$	0.472945	−	2.98606i	0.0221234	−	0.139682i	0.996278	+	0.0862020i	$0.0274730\pi$
$458$	0.924582	−	1.81459i	0.0432029	−	0.0847904i
$459$	−1.01107	+	3.11176i	−0.0471928	+	0.145245i
$460$	−9.24401	+	0.581594i	−0.431004	+	0.0271170i
$461$		−	10.2585i		−	0.477785i	−0.971046	−	0.238892i	$-0.923216\pi$
$461$		−	10.2585i		−	0.477785i	0.971046	−	0.238892i	$-0.0767843\pi$
$462$	1.76530	+	1.56970i	0.0821291	+	0.0730290i
$463$	−5.75544	+	5.75544i	−0.267478	+	0.267478i	−0.828083	−	0.560605i	$-0.810569\pi$
$463$	−5.75544	+	5.75544i	−0.267478	+	0.267478i	0.560605	+	0.828083i	$0.310569\pi$
$464$	−5.29681	−	3.84836i	−0.245898	−	0.178656i
$465$	5.96186	−	2.36048i	0.276475	−	0.109464i
$466$	−2.82456	−	8.69312i	−0.130845	−	0.402701i
$467$	−0.684219	−	0.108370i	−0.0316619	−	0.00501475i	0.140583	−	0.990069i	$-0.455102\pi$
$467$	−0.684219	−	0.108370i	−0.0316619	−	0.00501475i	−0.172245	+	0.985054i	$0.555102\pi$
$468$	−0.876593	−	0.138839i	−0.0405205	−	0.00641782i
$469$	2.18942	+	6.73833i	0.101098	+	0.311147i
$470$	7.28840	+	3.15396i	0.336189	+	0.145481i
$471$	−17.2695	−	12.5470i	−0.795735	−	0.578135i
$472$	16.3259	−	16.3259i	0.751463	−	0.751463i
$473$	20.7104	+	2.04653i	0.952267	+	0.0940995i
$474$			11.3907i			0.523193i
$475$	−1.48319	−	1.57943i	−0.0680535	−	0.0724693i
$476$	−1.25708	+	3.86890i	−0.0576183	+	0.177331i
$477$	−1.40139	+	2.75039i	−0.0641654	+	0.125932i
$478$	−0.665112	+	4.19935i	−0.0304215	+	0.192074i
$479$	−27.5231	+	19.9967i	−1.25756	+	0.913671i	−0.998635	−	0.0522263i	$-0.983368\pi$
$479$	−27.5231	+	19.9967i	−1.25756	+	0.913671i	−0.258925	+	0.965897i	$0.583368\pi$
$480$	2.85079	+	12.7536i	0.130120	+	0.582122i
$481$	6.88644	+	2.23754i	0.313995	+	0.102023i
$482$	2.99693	+	18.9219i	0.136507	+	0.861869i
$483$	1.91948	+	1.91948i	0.0873393	+	0.0873393i
$484$	1.77117	+	15.0475i	0.0805076	+	0.683975i
$485$	−12.7698	+	10.5642i	−0.579849	+	0.479694i
$486$	0.463794	−	0.638358i	0.0210381	−	0.0289565i
$487$	−3.90421	+	1.98930i	−0.176917	+	0.0901436i	−0.540206	−	0.841533i	$-0.681654\pi$
$487$	−3.90421	+	1.98930i	−0.176917	+	0.0901436i	0.363289	+	0.931676i	$0.381654\pi$
$488$	29.5161	+	15.0392i	1.33613	+	0.680792i
$489$	0.495811	+	0.682425i	0.0224213	+	0.0308603i
$490$	2.71395	−	10.5702i	0.122604	−	0.477513i
$491$	13.1452	−	4.27114i	0.593235	−	0.192754i	0.00301405	−	0.999995i	$-0.499041\pi$
$491$	13.1452	−	4.27114i	0.593235	−	0.192754i	0.590221	+	0.807242i	$0.299041\pi$
$492$	−1.70418	−	3.34464i	−0.0768304	−	0.150788i
$493$	−32.4509	+	5.13972i	−1.46152	+	0.231481i
$494$	0.220317			0.00991255
$495$	−6.15144	+	4.14243i	−0.276487	+	0.186188i
$496$	−1.86969			−0.0839514
$497$	−4.75876	+	0.753714i	−0.213460	+	0.0338087i
$498$	2.42779	+	4.76481i	0.108792	+	0.213516i
$499$	−4.57185	+	1.48549i	−0.204664	+	0.0664995i	−0.409555	−	0.912285i	$-0.634316\pi$
$499$	−4.57185	+	1.48549i	−0.204664	+	0.0664995i	0.204891	+	0.978785i	$0.434316\pi$
$500$	14.4893	−	5.21653i	0.647981	−	0.233290i
$501$	−3.68641	−	5.07391i	−0.164697	−	0.226685i
$502$	12.6979	+	6.46991i	0.566736	+	0.288766i
$503$	−33.2946	+	16.9644i	−1.48453	+	0.756407i	−0.993403	−	0.114680i	$-0.963416\pi$
$503$	−33.2946	+	16.9644i	−1.48453	+	0.756407i	−0.491130	+	0.871087i	$0.663416\pi$
$504$	1.41394	−	1.94612i	0.0629818	−	0.0866870i
$505$	−22.7741	−	2.15276i	−1.01344	−	0.0957967i
$506$	−0.460789	−	7.85655i	−0.0204846	−	0.349266i
$507$	8.89881	+	8.89881i	0.395210	+	0.395210i
$508$	1.51496	+	9.56511i	0.0672156	+	0.424383i
$509$	11.2152	+	3.64403i	0.497104	+	0.161519i	0.546830	−	0.837244i	$-0.315835\pi$
$509$	11.2152	+	3.64403i	0.497104	+	0.161519i	−0.0497252	+	0.998763i	$0.515835\pi$
$510$	4.87420	+	3.09325i	0.215833	+	0.136971i
$511$	−4.16414	+	3.02542i	−0.184211	+	0.133837i
$512$	1.13973	−	7.19595i	0.0503693	−	0.318019i
$513$	0.196730	−	0.386103i	0.00868582	−	0.0170469i
$514$	3.60555	−	11.0967i	0.159034	−	0.489456i
$515$	−1.35366	−	21.5155i	−0.0596496	−	0.948085i
$516$		−	8.64294i		−	0.380484i
$517$	5.98690	−	13.6752i	0.263303	−	0.601435i
$518$	−5.65957	+	5.65957i	−0.248667	+	0.248667i
$519$	9.17352	+	6.66495i	0.402673	+	0.292559i
$520$	−1.52491	+	3.52387i	−0.0668717	+	0.154532i
$521$	5.41417	+	16.6631i	0.237199	+	0.730024i	0.996822	+	0.0796603i	$0.0253835\pi$
$521$	5.41417	+	16.6631i	0.237199	+	0.730024i	−0.759623	+	0.650364i	$0.774616\pi$
$522$	7.82588	+	1.23950i	0.342530	+	0.0542514i
$523$	10.1235	+	1.60340i	0.442669	+	0.0701118i	0.373790	−	0.927513i	$-0.378058\pi$
$523$	10.1235	+	1.60340i	0.442669	+	0.0701118i	0.0688784	+	0.997625i	$0.478058\pi$
$524$	−1.52696	−	4.69950i	−0.0667056	−	0.205299i
$525$	−3.95503	−	2.17429i	−0.172612	−	0.0948936i
$526$	9.92743	+	7.21270i	0.432857	+	0.314489i
$527$	−6.63443	+	6.63443i	−0.289000	+	0.289000i
$528$	2.11236	−	0.462754i	0.0919286	−	0.0201388i
$529$			13.9562i			0.606792i
$530$	4.08536	+	3.60172i	0.177457	+	0.156449i
$531$	2.67724	−	8.23970i	0.116182	−	0.357572i
$532$	0.244597	−	0.480049i	0.0106046	−	0.0208127i
$533$	0.274702	−	1.73440i	0.0118987	−	0.0751253i
$534$	3.33094	−	2.42007i	0.144144	−	0.104727i
$535$	−16.9522	+	26.7125i	−0.732909	+	1.15488i
$536$	−19.8938	−	6.46388i	−0.859281	−	0.279197i
$537$	2.24863	+	14.1973i	0.0970357	+	0.612659i
$538$	15.1151	+	15.1151i	0.651660	+	0.651660i
$539$	−19.8477	−	5.18600i	−0.854900	−	0.223377i
$540$	1.96324	+	2.37314i	0.0844842	+	0.102124i
$541$	5.59433	−	7.69993i	0.240519	−	0.331046i	−0.671644	−	0.740874i	$-0.734411\pi$
$541$	5.59433	−	7.69993i	0.240519	−	0.331046i	0.912163	+	0.409828i	$0.134411\pi$
$542$	1.24131	−	0.632480i	0.0533189	−	0.0271673i
$543$	−17.9311	−	9.13634i	−0.769496	−	0.392078i
$544$	−11.2397	−	15.4701i	−0.481899	−	0.663277i
$545$	−5.06737	−	8.56843i	−0.217062	−	0.367031i
$546$	0.436471	−	0.141818i	0.0186792	−	0.00606926i
$547$	−19.8583	−	38.9740i	−0.849077	−	1.66641i	−0.740234	−	0.672350i	$-0.765285\pi$
$547$	−19.8583	−	38.9740i	−0.849077	−	1.66641i	−0.108844	−	0.994059i	$-0.534715\pi$
$548$	29.5305	−	4.67717i	1.26148	−	0.199799i
$549$	12.4305			0.530522
$550$	4.38006	+	12.3301i	0.186766	+	0.525758i
$551$	4.35141			0.185376
$552$	−7.91559	+	1.25371i	−0.336910	+	0.0533613i
$553$	5.91581	+	11.6104i	0.251566	+	0.493726i
$554$	−9.07421	+	2.94839i	−0.385526	+	0.125265i
$555$	−12.7911	−	21.6285i	−0.542952	−	0.918079i
$556$	13.5829	+	18.6952i	0.576042	+	0.792854i
$557$	14.2404	+	7.25586i	0.603386	+	0.307440i	0.728867	−	0.684656i	$-0.240047\pi$
$557$	14.2404	+	7.25586i	0.603386	+	0.307440i	−0.125481	+	0.992096i	$0.540047\pi$
$558$	2.01607	−	1.02724i	0.0853471	−	0.0434865i
$559$	2.37652	−	3.27100i	0.100516	−	0.138348i
$560$	0.838856	+	1.01400i	0.0354481	+	0.0428493i
$561$	5.85349	−	9.13758i	0.247135	−	0.385789i
$562$	−7.06455	−	7.06455i	−0.298000	−	0.298000i
$563$	−5.43648	−	34.3246i	−0.229120	−	1.44661i	−0.787136	−	0.616779i	$-0.788437\pi$
$563$	−5.43648	−	34.3246i	−0.229120	−	1.44661i	0.558016	−	0.829830i	$-0.311563\pi$
$564$	−5.89629	−	1.91582i	−0.248278	−	0.0806705i
$565$	13.0000	−	20.4847i	0.546913	−	0.861799i
$566$	11.1335	−	8.08898i	0.467977	−	0.340005i
$567$	0.141207	−	0.891545i	0.00593013	−	0.0374414i
$568$	6.45782	−	12.6742i	0.270964	−	0.531797i
$569$	−4.81248	+	14.8113i	−0.201750	+	0.620922i	0.798081	+	0.602550i	$0.205848\pi$
$569$	−4.81248	+	14.8113i	−0.201750	+	0.620922i	−0.999831	+	0.0183723i	$0.994152\pi$
$570$	−0.573509	−	0.505615i	−0.0240217	−	0.0211779i
$571$		−	7.18746i		−	0.300786i	−0.988626	−	0.150393i	$-0.951946\pi$
$571$		−	7.18746i		−	0.300786i	0.988626	−	0.150393i	$-0.0480539\pi$
$572$	2.69648	+	1.18050i	0.112746	+	0.0493592i
$573$	12.1644	−	12.1644i	0.508175	−	0.508175i
$574$	1.57036	+	1.14093i	0.0655454	+	0.0476215i
$575$	4.19507	+	14.4394i	0.174946	+	0.602164i
$576$	1.02207	+	3.14562i	0.0425864	+	0.131068i
$577$	−9.14978	−	1.44918i	−0.380910	−	0.0603303i	−0.0369566	−	0.999317i	$-0.511766\pi$
$577$	−9.14978	−	1.44918i	−0.380910	−	0.0603303i	−0.343954	+	0.938987i	$0.611766\pi$
$578$	4.90568	+	0.776983i	0.204049	+	0.0323182i
$579$	−3.14626	−	9.68320i	−0.130754	−	0.402420i
$580$	−12.2829	+	28.3842i	−0.510020	+	1.17859i
$581$	4.94925	+	3.59584i	0.205329	+	0.149181i
$582$	−4.13535	+	4.13535i	−0.171416	+	0.171416i
$583$	6.80299	−	7.65070i	0.281751	−	0.316860i
$584$		−	15.1961i		−	0.628819i
$585$	0.0904704	+	1.43796i	0.00374049	+	0.0594523i
$586$	−5.39359	+	16.5998i	−0.222807	+	0.685730i
$587$	−7.31204	+	14.3507i	−0.301800	+	0.592316i	−0.991247	−	0.132020i	$-0.957854\pi$
$587$	−7.31204	+	14.3507i	−0.301800	+	0.592316i	0.689447	+	0.724336i	$0.257854\pi$
$588$	−1.33274	+	8.41458i	−0.0549612	+	0.347012i
$589$	1.00531	−	0.730399i	0.0414230	−	0.0300956i
$590$	−12.9065	−	8.19068i	−0.531352	−	0.337205i
$591$	13.4587	+	4.37300i	0.553618	+	0.179881i
$592$	1.14618	+	7.23667i	0.0471076	+	0.297425i
$593$	−32.1426	−	32.1426i	−1.31994	−	1.31994i	−0.913821	−	0.406116i	$-0.866883\pi$
$593$	−32.1426	−	32.1426i	−1.31994	−	1.31994i	−0.406116	−	0.913821i	$-0.633117\pi$
$594$	−2.02350	+	1.65955i	−0.0830251	+	0.0680923i
$595$	6.57471	+	0.621486i	0.269537	+	0.0254784i
$596$	−3.93397	+	5.41465i	−0.161142	+	0.221793i
$597$	−8.82782	+	4.49800i	−0.361298	+	0.184091i
$598$	−1.36233	−	0.694141i	−0.0557098	−	0.0283855i
$599$	11.5194	+	15.8551i	0.470671	+	0.647823i	0.976679	−	0.214706i	$-0.0688793\pi$
$599$	11.5194	+	15.8551i	0.470671	+	0.647823i	−0.506008	+	0.862529i	$0.668879\pi$
$600$	12.0566	−	5.67342i	0.492207	−	0.231616i
$601$	4.10524	−	1.33387i	0.167456	−	0.0544099i	−0.224089	−	0.974569i	$-0.571941\pi$
$601$	4.10524	−	1.33387i	0.167456	−	0.0544099i	0.391545	+	0.920159i	$0.371941\pi$
$602$	2.02899	+	3.98211i	0.0826954	+	0.162299i
$603$	−7.75252	+	1.22788i	−0.315707	+	0.0500031i
$604$	22.9989			0.935810
$605$	23.2126	−	8.13493i	0.943725	−	0.330732i
$606$	−8.07226			−0.327913
$607$	−4.42865	+	0.701429i	−0.179753	+	0.0284701i	−0.245662	−	0.969356i	$-0.579005\pi$
$607$	−4.42865	+	0.701429i	−0.179753	+	0.0284701i	0.0659088	+	0.997826i	$0.479005\pi$
$608$	1.14976	+	2.25653i	0.0466288	+	0.0915142i
$609$	8.62058	−	2.80100i	0.349324	−	0.113502i
$610$	5.45427	−	21.2431i	0.220837	−	0.860108i
$611$	−1.70472	−	2.34634i	−0.0689655	−	0.0949228i
$612$	−4.01550	−	2.04600i	−0.162317	−	0.0827046i
$613$	9.06674	−	4.61974i	0.366202	−	0.186589i	−0.261200	−	0.965285i	$-0.584118\pi$
$613$	9.06674	−	4.61974i	0.366202	−	0.186589i	0.627402	+	0.778695i	$0.284118\pi$
$614$	−0.652269	+	0.897772i	−0.0263234	+	0.0362311i
$615$	−4.69543	+	3.88441i	−0.189338	+	0.156634i
$616$	−6.16890	+	5.05937i	−0.248552	+	0.203848i
$617$	−5.55182	−	5.55182i	−0.223508	−	0.223508i	0.586466	−	0.809974i	$-0.300519\pi$
$617$	−5.55182	−	5.55182i	−0.223508	−	0.223508i	−0.809974	+	0.586466i	$0.800519\pi$
$618$	−1.19004	−	7.51364i	−0.0478706	−	0.302243i
$619$	−13.3853	−	4.34914i	−0.537999	−	0.174807i	0.0273990	−	0.999625i	$-0.491278\pi$
$619$	−13.3853	−	4.34914i	−0.537999	−	0.174807i	−0.565398	+	0.824818i	$0.691278\pi$
$620$	1.92666	+	8.61935i	0.0773767	+	0.346161i
$621$	−2.43295	+	1.76764i	−0.0976308	+	0.0709329i
$622$	0.914131	−	5.77160i	0.0366533	−	0.231420i
$623$	2.13832	−	4.19669i	0.0856700	−	0.168137i
$624$	0.129823	−	0.399555i	0.00519708	−	0.0159950i
$625$	−13.3958	−	21.1081i	−0.535831	−	0.844325i
$626$			4.99373i			0.199590i
$627$	−0.955014	+	1.07402i	−0.0381396	+	0.0428921i
$628$	20.7905	−	20.7905i	0.829631	−	0.829631i
$629$	29.7459	+	21.6116i	1.18605	+	0.861712i
$630$	−1.46164	−	0.632508i	−0.0582333	−	0.0251997i
$631$	6.84586	+	21.0694i	0.272529	+	0.838759i	0.989863	+	0.142029i	$0.0453626\pi$
$631$	6.84586	+	21.0694i	0.272529	+	0.838759i	−0.717333	+	0.696730i	$0.754637\pi$
$632$	−37.9973	−	6.01818i	−1.51145	−	0.239390i
$633$	16.1648	+	2.56026i	0.642495	+	0.101761i
$634$	2.04520	+	6.29447i	0.0812252	+	0.249985i
$635$	14.6176	−	5.78752i	0.580080	−	0.229671i
$636$	−3.43977	−	2.49914i	−0.136396	−	0.0990972i
$637$	−2.81812	+	2.81812i	−0.111658	+	0.111658i
$638$	−24.0732	−	10.5390i	−0.953066	−	0.417245i
$639$		−	5.33766i		−	0.211155i
$640$	−20.2610	+	1.27474i	−0.800887	+	0.0503885i
$641$	−4.12615	+	12.6990i	−0.162973	+	0.501579i	−0.998881	−	0.0472899i	$-0.984942\pi$
$641$	−4.12615	+	12.6990i	−0.162973	+	0.501579i	0.835908	+	0.548869i	$0.184942\pi$
$642$	−5.06841	+	9.94731i	−0.200034	+	0.392589i
$643$	−3.63785	+	22.9685i	−0.143463	+	0.905788i	0.806002	+	0.591913i	$0.201627\pi$
$643$	−3.63785	+	22.9685i	−0.143463	+	0.905788i	−0.949464	+	0.313875i	$0.898373\pi$
$644$	−3.02492	+	2.19773i	−0.119199	+	0.0866028i
$645$	−13.6931	+	3.06078i	−0.539164	+	0.120518i
$646$	1.06399	+	0.345710i	0.0418620	+	0.0136018i
$647$	−5.31147	−	33.5353i	−0.208815	−	1.31841i	−0.839920	−	0.542711i	$-0.817398\pi$
$647$	−5.31147	−	33.5353i	−0.208815	−	1.31841i	0.631104	−	0.775698i	$-0.282602\pi$
$648$	1.88440	+	1.88440i	0.0740263	+	0.0740263i
$649$	−15.4996	+	24.1956i	−0.608411	+	0.949760i
$650$	2.49709	+	0.476340i	0.0979441	+	0.0186836i
$651$	1.52146	−	2.09411i	0.0596307	−	0.0820746i
$652$	−1.03523	+	0.527475i	−0.0405427	+	0.0206575i
$653$	−13.4352	−	6.84560i	−0.525762	−	0.267889i	0.170900	−	0.985288i	$-0.445332\pi$
$653$	−13.4352	−	6.84560i	−0.525762	−	0.267889i	−0.696662	+	0.717399i	$0.745332\pi$
$654$	−2.06476	−	2.84189i	−0.0807383	−	0.111127i
$655$	−6.90470	+	4.08344i	−0.269789	+	0.159553i
$656$	1.68992	−	0.549089i	0.0659804	−	0.0214383i
$657$	−2.58875	−	5.08071i	−0.100997	−	0.198218i
$658$	3.16638	−	0.501506i	0.123439	−	0.0195507i
$659$	−10.3353			−0.402605			−0.201303	−	0.979529i	$-0.564517\pi$
$659$	−10.3353			−0.402605			−0.201303	+	0.979529i	$0.564517\pi$
$660$	−4.31005	−	9.26123i	−0.167768	−	0.360493i
$661$	20.3369			0.791014			0.395507	−	0.918463i	$-0.370569\pi$
$661$	20.3369			0.791014			0.395507	+	0.918463i	$0.370569\pi$
$662$	13.8147	−	2.18803i	0.536923	−	0.0850402i
$663$	−0.957120	−	1.87845i	−0.0371715	−	0.0729531i
$664$	−17.1772	+	5.58122i	−0.666605	+	0.216593i
$665$	−0.847165	−	0.217514i	−0.0328517	−	0.00843483i
$666$	−5.21188	−	7.17353i	−0.201956	−	0.277969i
$667$	−26.9068	−	13.7097i	−1.04184	−	0.530842i
$668$	7.69705	−	3.92184i	0.297808	−	0.151741i
$669$	−13.3212	+	18.3350i	−0.515026	+	0.708872i
$670$	−1.30328	+	13.7874i	−0.0503500	+	0.532654i
$671$	−39.8882	−	10.4224i	−1.53987	−	0.402352i
$672$	3.73031	+	3.73031i	0.143900	+	0.143900i
$673$	−0.244324	−	1.54260i	−0.00941799	−	0.0594629i	0.982532	−	0.186095i	$-0.0595832\pi$
$673$	−0.244324	−	1.54260i	−0.00941799	−	0.0594629i	−0.991950	+	0.126632i	$0.959583\pi$
$674$	18.8754	+	6.13298i	0.727052	+	0.236234i
$675$	3.06453	−	3.95078i	0.117954	−	0.152066i
$676$	−14.0237	+	10.1888i	−0.539373	+	0.391878i
$677$	5.24789	−	33.1339i	0.201693	−	1.27344i	−0.654214	−	0.756309i	$-0.727001\pi$
$677$	5.24789	−	33.1339i	0.201693	−	1.27344i	0.855907	−	0.517130i	$-0.172999\pi$
$678$	3.88676	−	7.62819i	0.149270	−	0.292959i
$679$	−2.06741	+	6.36283i	−0.0793399	+	0.244183i
$680$	−12.8937	+	14.6251i	−0.494453	+	0.560848i
$681$			18.0548i			0.691860i
$682$	−7.33065	+	1.60592i	−0.280705	+	0.0614940i
$683$	12.9808	−	12.9808i	0.496696	−	0.496696i	−0.413712	−	0.910408i	$-0.635768\pi$
$683$	12.9808	−	12.9808i	0.496696	−	0.496696i	0.910408	+	0.413712i	$0.135768\pi$
$684$	0.482879	+	0.350832i	0.0184634	+	0.0134144i
$685$	−17.8679	−	45.1290i	−0.682697	−	1.72429i
$686$	−2.90201	−	8.93147i	−0.110799	−	0.341005i
$687$	2.54925	+	0.403761i	0.0972598	+	0.0154044i
$688$	4.04085	+	0.640008i	0.154056	+	0.0244001i
$689$	−0.614632	−	1.89164i	−0.0234156	−	0.0720658i
$690$	1.95327	+	4.93338i	0.0743597	+	0.187811i
$691$	21.2046	+	15.4060i	0.806660	+	0.586073i	0.912860	−	0.408272i	$-0.133868\pi$
$691$	21.2046	+	15.4060i	0.806660	+	0.586073i	−0.106200	+	0.994345i	$0.533868\pi$
$692$	−11.0439	+	11.0439i	−0.419825	+	0.419825i
$693$	−1.20064	+	2.74248i	−0.0456084	+	0.104178i
$694$		−	12.4449i		−	0.472401i
$695$	24.8088	−	28.1401i	0.941050	−	1.06741i
$696$	−8.26947	+	25.4508i	−0.313453	+	0.964710i
$697$	4.04816	−	7.94496i	0.153335	−	0.300937i
$698$	3.15234	−	19.9031i	0.119318	−	0.753342i
$699$	9.37174	−	6.80897i	0.354472	−	0.257539i
$700$	3.81017	−	4.91207i	0.144011	−	0.185659i
$701$	−14.3568	−	4.66482i	−0.542250	−	0.176188i	0.0250692	−	0.999686i	$-0.492019\pi$
$701$	−14.3568	−	4.66482i	−0.542250	−	0.176188i	−0.567319	+	0.823498i	$0.692019\pi$
$702$	0.0795351	+	0.502165i	0.00300186	+	0.0189530i
$703$	−3.44331	−	3.44331i	−0.129867	−	0.129867i
$704$	−0.642274	−	10.9509i	−0.0242066	−	0.412729i
$705$	−0.947156	+	10.0200i	−0.0356720	+	0.377375i
$706$	−8.79661	+	12.1075i	−0.331065	+	0.455672i
$707$	−8.22797	+	4.19236i	−0.309445	+	0.157670i
$708$	10.6327	+	5.41764i	0.399602	+	0.203607i
$709$	−0.206511	−	0.284238i	−0.00775567	−	0.0106748i	0.805122	−	0.593110i	$-0.202100\pi$
$709$	−0.206511	−	0.284238i	−0.00775567	−	0.0106748i	−0.812877	+	0.582435i	$0.802100\pi$
$710$	−9.12178	−	2.34206i	−0.342334	−	0.0878961i
$711$	−13.7294	+	4.46094i	−0.514892	+	0.167298i
$712$	6.31303	+	12.3900i	0.236591	+	0.464335i
$713$	−8.51752	+	1.34904i	−0.318984	+	0.0505221i
$714$	2.33040			0.0872129
$715$	0.915351	−	4.69012i	0.0342322	−	0.175400i
$716$	−19.7991			−0.739926
$717$	−5.32201	+	0.842924i	−0.198754	+	0.0314796i
$718$	−11.6138	−	22.7933i	−0.433422	−	0.850638i
$719$	0.630094	−	0.204730i	0.0234985	−	0.00763514i	−0.297244	−	0.954802i	$-0.596068\pi$
$719$	0.630094	−	0.204730i	0.0234985	−	0.00763514i	0.320743	+	0.947166i	$0.396068\pi$
$720$	−1.25490	+	0.742146i	−0.0467672	+	0.0276581i
$721$	−5.11524	−	7.04052i	−0.190501	−	0.262203i
$722$	13.2260	+	6.73897i	0.492220	+	0.250798i
$723$	−21.6331	+	11.0226i	−0.804544	+	0.409936i
$724$	16.2930	−	22.4255i	0.605526	−	0.833435i
$725$	49.3192	+	9.40801i	1.83167	+	0.349405i
$726$	7.88465	−	3.62872i	0.292627	−	0.134675i
$727$	−36.7082	−	36.7082i	−1.36143	−	1.36143i	−0.872095	−	0.489337i	$-0.837239\pi$
$727$	−36.7082	−	36.7082i	−1.36143	−	1.36143i	−0.489337	−	0.872095i	$-0.662761\pi$
$728$	0.242473	+	1.53092i	0.00898665	+	0.0567395i
$729$	0.951057	+	0.309017i	0.0352243	+	0.0114451i
$730$	−9.81857	+	2.19472i	−0.363401	+	0.0812303i
$731$	16.6097	−	12.0676i	0.614330	−	0.446337i
$732$	−2.67843	+	16.9109i	−0.0989975	+	0.625046i
$733$	−8.95543	+	17.5760i	−0.330776	+	0.649185i	−0.995167	−	0.0982007i	$-0.968691\pi$
$733$	−8.95543	+	17.5760i	−0.330776	+	0.649185i	0.664390	+	0.747386i	$0.268691\pi$
$734$	6.57913	−	20.2485i	0.242840	−	0.747385i
$735$	13.8033	−	0.868443i	0.509141	−	0.0320330i
$736$		−	17.5757i		−	0.647847i
$737$	25.9065	+	2.55999i	0.954279	+	0.0942983i
$738$	−1.52055	+	1.52055i	−0.0559724	+	0.0559724i
$739$	12.6432	+	9.18584i	0.465089	+	0.337907i	0.795524	−	0.605922i	$-0.207196\pi$
$739$	12.6432	+	9.18584i	0.465089	+	0.337907i	−0.330435	+	0.943829i	$0.607196\pi$
$740$	32.1803	−	12.7411i	1.18297	−	0.468374i
$741$	0.0862829	+	0.265552i	0.00316968	+	0.00975528i
$742$	2.17152	+	0.343934i	0.0797188	+	0.0126262i
$743$	12.8947	+	2.04232i	0.473061	+	0.0749255i	0.388413	−	0.921485i	$-0.373023\pi$
$743$	12.8947	+	2.04232i	0.473061	+	0.0749255i	0.0846480	+	0.996411i	$0.473023\pi$
$744$	2.36151	+	7.26797i	0.0865770	+	0.266457i
$745$	9.97162	+	4.31509i	0.365332	+	0.158093i
$746$	14.3543	+	10.4290i	0.525546	+	0.381832i
$747$	−4.79229	+	4.79229i	−0.175341	+	0.175341i
$748$	11.1698	+	9.93219i	0.408409	+	0.363157i
$749$			12.7715i			0.466660i
$750$	−5.40702	−	6.97064i	−0.197437	−	0.254532i
$751$	9.71776	−	29.9082i	0.354606	−	1.09137i	−0.601631	−	0.798774i	$-0.705482\pi$
$751$	9.71776	−	29.9082i	0.354606	−	1.09137i	0.956237	−	0.292592i	$-0.0945177\pi$
$752$	1.33233	−	2.61484i	0.0485850	−	0.0953534i
$753$	−2.82538	+	17.8388i	−0.102963	+	0.650081i
$754$	−4.13039	+	3.00090i	−0.150420	+	0.109286i
$755$	−8.14474	−	36.4373i	−0.296417	−	1.32609i
$756$	1.18246	+	0.384206i	0.0430058	+	0.0139734i
$757$	6.10100	+	38.5202i	0.221744	+	1.40004i	0.807651	+	0.589661i	$0.200739\pi$
$757$	6.10100	+	38.5202i	0.221744	+	1.40004i	−0.585906	+	0.810379i	$0.699261\pi$
$758$	8.19957	+	8.19957i	0.297822	+	0.297822i
$759$	9.28915	−	3.63226i	0.337175	−	0.131843i
$760$	1.98965	−	1.64598i	0.0721720	−	0.0597061i
$761$	1.20337	−	1.65629i	0.0436220	−	0.0600405i	−0.786649	−	0.617401i	$-0.788186\pi$
$761$	1.20337	−	1.65629i	0.0436220	−	0.0600405i	0.830271	+	0.557360i	$0.188186\pi$
$762$	4.94309	−	2.51863i	0.179069	−	0.0912404i
$763$	−3.58053	−	1.82437i	−0.129624	−	0.0660467i
$764$	13.9278	+	19.1700i	0.503890	+	0.693546i
$765$	−1.81945	+	7.08634i	−0.0657825	+	0.256207i
$766$	−9.04558	+	2.93909i	−0.326830	+	0.106193i
$767$	2.53438	+	4.97400i	0.0915111	+	0.179601i
$768$	−13.6091	+	2.15547i	−0.491077	+	0.0777789i
$769$	50.6400			1.82612			0.913062	−	0.407820i	$-0.133711\pi$
$769$	50.6400			1.82612			0.913062	+	0.407820i	$0.133711\pi$
$770$	4.15993	+	3.25517i	0.149914	+	0.117308i
$771$	14.7871			0.532544
$772$	13.8513	−	2.19383i	0.498519	−	0.0789577i
$773$	1.96740	+	3.86124i	0.0707624	+	0.138879i	0.923678	−	0.383170i	$-0.125168\pi$
$773$	1.96740	+	3.86124i	0.0707624	+	0.138879i	−0.852915	+	0.522049i	$0.825168\pi$
$774$	−4.70886	+	1.53000i	−0.169257	+	0.0549948i
$775$	12.9734	−	6.10485i	0.466018	−	0.219293i
$776$	−11.6099	−	15.9796i	−0.416770	−	0.573635i
$777$	−9.03802	−	4.60510i	−0.324237	−	0.165207i
$778$	1.93302	−	0.984923i	0.0693021	−	0.0353112i
$779$	−0.694148	+	0.955413i	−0.0248704	+	0.0342312i
$780$	−1.97575	−	0.186761i	−0.0707431	−	0.00668711i
$781$	−4.47537	+	17.1280i	−0.160141	+	0.612887i
$782$	−5.48993	−	5.48993i	−0.196319	−	0.196319i
$783$	1.57087	+	9.91806i	0.0561382	+	0.354443i
$784$	−3.83540	−	1.24620i	−0.136979	−	0.0445070i
$785$	−40.3012	−	25.5758i	−1.43841	−	0.912841i
$786$	−2.29008	+	1.66384i	−0.0816846	+	0.0593473i
$787$	−7.66622	+	48.4026i	−0.273271	+	1.72537i	0.344306	+	0.938857i	$0.388114\pi$
$787$	−7.66622	+	48.4026i	−0.273271	+	1.72537i	−0.617578	+	0.786510i	$0.711886\pi$
$788$	−8.84917	+	17.3675i	−0.315239	+	0.618691i
$789$	−4.80568	+	14.7904i	−0.171087	+	0.526551i
$790$	1.59933	+	25.4201i	0.0569016	+	0.904408i
$791$		−	9.79393i		−	0.348232i
$792$	−4.46686	−	7.62682i	−0.158723	−	0.271007i
$793$	−5.66362	+	5.66362i	−0.201121	+	0.201121i
$794$	6.17872	+	4.48910i	0.219275	+	0.159312i
$795$	−2.74125	+	6.33468i	−0.0972222	+	0.224668i
$796$	−4.21709	−	12.9789i	−0.149471	−	0.460024i
$797$	−21.2874	−	3.37159i	−0.754039	−	0.119428i	−0.232430	−	0.972613i	$-0.574668\pi$
$797$	−21.2874	−	3.37159i	−0.754039	−	0.119428i	−0.521608	+	0.853185i	$0.674668\pi$
$798$	−0.304840	−	0.0482820i	−0.0107912	−	0.00170916i
$799$	−4.55089	−	14.0062i	−0.160999	−	0.495504i
$800$	8.15268	+	28.0615i	0.288241	+	0.992123i
$801$	4.22144	+	3.06705i	0.149157	+	0.108369i
$802$	9.67764	−	9.67764i	0.341729	−	0.341729i
$803$	4.04710	+	18.4740i	0.142819	+	0.651934i
$804$		−	10.8114i		−	0.381288i
$805$	4.55312	+	4.01411i	0.160476	+	0.141479i
$806$	−0.450533	+	1.38660i	−0.0158694	+	0.0488409i
$807$	−12.2989	+	24.1380i	−0.432943	+	0.849698i
$808$	4.26490	−	26.9275i	0.150039	−	0.947308i
$809$	1.19850	−	0.870761i	0.0421370	−	0.0306143i	−0.566517	−	0.824050i	$-0.691710\pi$
$809$	1.19850	−	0.870761i	0.0421370	−	0.0306143i	0.608654	+	0.793435i	$0.291710\pi$
$810$	0.945399	−	1.48971i	0.0332179	−	0.0523432i
$811$	40.9520	+	13.3061i	1.43802	+	0.467241i	0.921279	−	0.388902i	$-0.127145\pi$
$811$	40.9520	+	13.3061i	1.43802	+	0.467241i	0.516740	+	0.856142i	$0.327145\pi$
$812$	1.95308	+	12.3313i	0.0685398	+	0.432743i
$813$	1.24847	+	1.24847i	0.0437858	+	0.0437858i
$814$	10.7097	+	27.3890i	0.375375	+	0.959984i
$815$	1.20230	+	1.45332i	0.0421146	+	0.0509076i
$816$	1.25392	−	1.72587i	0.0438959	−	0.0604175i
$817$	−2.42274	+	1.23445i	−0.0847609	+	0.0431878i
$818$	−6.42203	−	3.27219i	−0.224541	−	0.114409i
$819$	0.341870	+	0.470544i	0.0119459	+	0.0164421i
$820$	−4.27275	−	7.22481i	−0.149211	−	0.252301i
$821$	−8.61246	+	2.79836i	−0.300577	+	0.0976634i	−0.455423	−	0.890275i	$-0.650512\pi$
$821$	−8.61246	+	2.79836i	−0.300577	+	0.0976634i	0.154846	+	0.987939i	$0.450512\pi$
$822$	−7.77581	−	15.2609i	−0.271212	−	0.532284i
$823$	12.6333	−	2.00091i	0.440367	−	0.0697473i	0.0676860	−	0.997707i	$-0.478438\pi$
$823$	12.6333	−	2.00091i	0.440367	−	0.0697473i	0.372681	+	0.927959i	$0.378438\pi$
$824$	25.6928			0.895052
$825$	−13.1463	+	10.1082i	−0.457695	+	0.351922i
$826$	−6.17071			−0.214706
$827$	39.9385	−	6.32564i	1.38880	−	0.219964i	0.583153	−	0.812362i	$-0.301819\pi$
$827$	39.9385	−	6.32564i	1.38880	−	0.219964i	0.805645	+	0.592398i	$0.201819\pi$
$828$	−1.88053	−	3.69074i	−0.0653529	−	0.128262i
$829$	1.02763	−	0.333898i	0.0356911	−	0.0115968i	−0.291117	−	0.956687i	$-0.594027\pi$
$829$	1.02763	−	0.333898i	0.0356911	−	0.0115968i	0.326808	+	0.945091i	$0.394027\pi$
$830$	6.08701	+	10.2925i	0.211283	+	0.357259i
$831$	−7.10746	−	9.78258i	−0.246555	−	0.339354i
$832$	−1.89889	−	0.967535i	−0.0658323	−	0.0335432i
$833$	−18.0316	+	9.18758i	−0.624759	+	0.318331i
$834$	7.78108	−	10.7097i	0.269437	−	0.370848i
$835$	−8.93921	−	10.8056i	−0.309354	−	0.373944i
$836$	−1.25535	−	1.53066i	−0.0434173	−	0.0529388i
$837$	2.02770	+	2.02770i	0.0700875	+	0.0700875i
$838$	0.467068	+	2.94895i	0.0161346	+	0.101870i
$839$	−15.8416	−	5.14726i	−0.546914	−	0.177703i	0.0225106	−	0.999747i	$-0.492834\pi$
$839$	−15.8416	−	5.14726i	−0.546914	−	0.177703i	−0.569425	+	0.822043i	$0.692834\pi$
$840$	2.88217	−	4.54159i	0.0994445	−	0.156700i
$841$	−58.1162	+	42.2239i	−2.00401	+	1.45600i
$842$	1.98896	−	12.5578i	0.0685441	−	0.432770i
$843$	5.74830	−	11.2817i	0.197982	−	0.388562i
$844$	−6.96614	+	21.4396i	−0.239784	+	0.737980i
$845$	21.1085	+	18.6096i	0.726155	+	0.640191i
$846$			3.55157i			0.122106i
$847$	6.15215	−	7.79364i	0.211390	−	0.267793i
$848$	1.42314	−	1.42314i	0.0488709	−	0.0488709i
$849$	14.1100	+	10.2515i	0.484253	+	0.351830i
$850$	11.3118	+	6.21870i	0.387993	+	0.213300i
$851$	10.4430	+	32.1403i	0.357982	+	1.10176i
$852$	7.26155	+	1.15012i	0.248777	+	0.0394023i
$853$	−27.2640	−	4.31820i	−0.933503	−	0.147852i	−0.328887	−	0.944369i	$-0.606674\pi$
$853$	−27.2640	−	4.31820i	−0.933503	−	0.147852i	−0.604616	+	0.796517i	$0.706674\pi$
$854$	−2.73591	−	8.42026i	−0.0936208	−	0.288135i
$855$	0.384821	−	0.889272i	0.0131606	−	0.0304125i
$856$	−30.5045	−	22.1628i	−1.04262	−	0.757510i
$857$	−24.9120	+	24.9120i	−0.850977	+	0.850977i	−0.990253	−	0.139277i	$-0.955522\pi$
$857$	−24.9120	+	24.9120i	−0.850977	+	0.850977i	0.139277	+	0.990253i	$0.455522\pi$
$858$	0.165822	−	1.67808i	0.00566105	−	0.0572887i
$859$			26.6276i			0.908523i	0.890868	+	0.454262i	$0.150097\pi$
$859$			26.6276i			0.908523i	−0.890868	+	0.454262i	$0.849903\pi$
$860$	−1.21352	−	19.2881i	−0.0413808	−	0.657717i
$861$	−0.760180	+	2.33959i	−0.0259068	+	0.0797331i
$862$	−12.8203	+	25.1612i	−0.436660	+	0.856994i
$863$	2.71023	−	17.1117i	0.0922573	−	0.582489i	−0.897643	−	0.440723i	$-0.854722\pi$
$863$	2.71023	−	17.1117i	0.0922573	−	0.582489i	0.989900	−	0.141766i	$-0.0452780\pi$
$864$	−4.72818	+	3.43523i	−0.160856	+	0.116869i
$865$	21.4079	+	13.5859i	0.727892	+	0.461933i
$866$	15.4346	+	5.01501i	0.524489	+	0.170417i
$867$	0.984703	+	6.21717i	0.0334423	+	0.211146i
$868$	2.52107	+	2.52107i	0.0855707	+	0.0855707i
$869$	47.7964	−	2.80327i	1.62138	−	0.0950943i
$870$	17.6387	+	1.66733i	0.598008	+	0.0565277i
$871$	2.97277	−	4.09167i	0.100728	−	0.138641i
$872$	10.5709	−	5.38615i	0.357976	−	0.182398i
$873$	−6.60392	−	3.36486i	−0.223509	−	0.113883i
$874$	0.604398	+	0.831882i	0.0204441	+	0.0281388i
$875$	−9.13155	−	4.29694i	−0.308703	−	0.145263i
$876$	7.46979	−	2.42708i	0.252381	−	0.0820035i
$877$	18.5964	+	36.4974i	0.627955	+	1.23243i	0.957539	+	0.288304i	$0.0930914\pi$
$877$	18.5964	+	36.4974i	0.627955	+	1.23243i	−0.329584	+	0.944126i	$0.606909\pi$
$878$	−32.3688	+	5.12671i	−1.09239	+	0.173018i
$879$	−22.1202			−0.746096
$880$	4.64908	−	1.32930i	0.156721	−	0.0448105i
$881$	23.7400			0.799820			0.399910	−	0.916554i	$-0.369041\pi$
$881$	23.7400			0.799820			0.399910	+	0.916554i	$0.369041\pi$
$882$	4.82037	−	0.763472i	0.162310	−	0.0257075i
$883$	18.0364	+	35.3985i	0.606974	+	1.19125i	0.966149	+	0.257984i	$0.0830582\pi$
$883$	18.0364	+	35.3985i	0.606974	+	1.19125i	−0.359175	+	0.933270i	$0.616942\pi$
$884$	2.76175	−	0.897347i	0.0928877	−	0.0301810i
$885$	4.81777	−	18.7641i	0.161948	−	0.630747i
$886$	6.87805	+	9.46682i	0.231072	+	0.318044i
$887$	−6.98728	−	3.56020i	−0.234610	−	0.119540i	0.332734	−	0.943021i	$-0.392029\pi$
$887$	−6.98728	−	3.56020i	−0.234610	−	0.119540i	−0.567344	+	0.823481i	$0.692029\pi$
$888$	26.6832	−	13.5958i	0.895430	−	0.456244i
$889$	3.73038	−	5.13443i	0.125113	−	0.172203i
$890$	7.09372	−	5.86845i	0.237782	−	0.196711i
$891$	−2.79274	−	1.78902i	−0.0935604	−	0.0599344i
$892$	−22.0733	−	22.0733i	−0.739068	−	0.739068i
$893$	0.305119	+	1.92645i	0.0102104	+	0.0644660i
$894$	3.64642	+	1.18479i	0.121955	+	0.0396254i
$895$	7.01157	+	31.3678i	0.234371	+	1.04851i
$896$	−6.63002	+	4.81699i	−0.221493	+	0.160924i
$897$	0.303129	−	1.91388i	0.0101212	−	0.0639025i
$898$	10.8437	−	21.2819i	0.361858	−	0.710186i
$899$	−8.89832	+	27.3862i	−0.296775	+	0.913381i
$900$	4.71447	+	5.02038i	0.157149	+	0.167346i
$901$		−	10.0998i		−	0.336473i
$902$	6.15421	−	3.60439i	0.204913	−	0.120013i
$903$	−4.00508	+	4.00508i	−0.133281	+	0.133281i
$904$	23.3927	+	16.9958i	0.778029	+	0.565271i
$905$	−41.2988	−	17.8715i	−1.37282	−	0.594069i
$906$	−4.07134	−	12.5303i	−0.135261	−	0.416291i
$907$	26.6445	+	4.22007i	0.884716	+	0.140125i	0.582226	−	0.813027i	$-0.302182\pi$
$907$	26.6445	+	4.22007i	0.884716	+	0.140125i	0.302490	+	0.953152i	$0.402182\pi$
$908$	−24.5623	−	3.89029i	−0.815130	−	0.129104i
$909$	−3.16134	−	9.72960i	−0.104855	−	0.322710i
$910$	0.954141	−	0.377773i	0.0316295	−	0.0125230i
$911$	−4.24558	−	3.08459i	−0.140662	−	0.102197i	0.515229	−	0.857053i	$-0.327707\pi$
$911$	−4.24558	−	3.08459i	−0.140662	−	0.102197i	−0.655891	+	0.754856i	$0.727707\pi$
$912$	−0.199783	+	0.199783i	−0.00661547	+	0.00661547i
$913$	19.3961	−	11.3598i	0.641916	−	0.375956i
$914$		−	2.38553i		−	0.0789063i
$915$	27.7406	−	1.74532i	0.917077	−	0.0576987i
$916$	−1.09858	+	3.38109i	−0.0362982	+	0.111714i
$917$	−1.47014	+	2.88530i	−0.0485482	+	0.0952811i
$918$	−0.403868	+	2.54992i	−0.0133296	+	0.0841599i
$919$	8.64301	−	6.27952i	0.285107	−	0.207142i	−0.436035	−	0.899930i	$-0.643618\pi$
$919$	8.64301	−	6.27952i	0.285107	−	0.207142i	0.721142	+	0.692788i	$0.243618\pi$
$920$	−17.4888	+	3.90924i	−0.576590	+	0.128884i
$921$	−1.33754	−	0.434594i	−0.0440736	−	0.0143204i
$922$	−1.26626	−	7.99483i	−0.0417020	−	0.263296i
$923$	2.43196	+	2.43196i	0.0800488	+	0.0800488i
$924$	−3.47226	−	2.22432i	−0.114229	−	0.0731746i
$925$	−31.5821	−	46.4714i	−1.03841	−	1.52797i
$926$	−3.77502	+	5.19587i	−0.124055	+	0.170747i
$927$	8.59023	−	4.37694i	0.282140	−	0.143758i
$928$	−52.2907	−	26.6434i	−1.71653	−	0.874614i
$929$	−12.9572	−	17.8340i	−0.425112	−	0.585116i	0.541711	−	0.840565i	$-0.317777\pi$
$929$	−12.9572	−	17.8340i	−0.425112	−	0.585116i	−0.966823	+	0.255449i	$0.917777\pi$
$930$	4.35495	−	2.57551i	0.142804	−	0.0844545i
$931$	2.54908	−	0.828246i	0.0835427	−	0.0271447i
$932$	7.24382	+	14.2168i	0.237279	+	0.465687i
$933$	7.31458	−	1.15852i	0.239469	−	0.0379281i
$934$	−0.546615			−0.0178858
$935$	11.7800	−	21.2138i	0.385247	−	0.693765i
$936$	−1.71715			−0.0561268
$937$	−29.4054	+	4.65736i	−0.960633	+	0.152149i	−0.617007	−	0.786958i	$-0.711655\pi$
$937$	−29.4054	+	4.65736i	−0.960633	+	0.152149i	−0.343625	+	0.939107i	$0.611655\pi$
$938$	2.53805	+	4.98120i	0.0828701	+	0.162642i
$939$	−6.01901	+	1.95569i	−0.196423	+	0.0638217i
$940$	−13.4275	−	3.44757i	−0.437956	−	0.112447i
$941$	13.2929	+	18.2961i	0.433336	+	0.596436i	0.968715	−	0.248176i	$-0.0798311\pi$
$941$	13.2929	+	18.2961i	0.433336	+	0.596436i	−0.535379	+	0.844612i	$0.679831\pi$
$942$	−15.0075	−	7.64671i	−0.488971	−	0.249143i
$943$	7.30241	−	3.72076i	0.237799	−	0.121165i
$944$	−3.32027	+	4.56996i	−0.108066	+	0.148740i
$945$	0.189946	−	2.00945i	0.00617895	−	0.0653673i
$946$	16.3931	−	0.961457i	0.532985	−	0.0312597i
$947$	−23.8687	−	23.8687i	−0.775630	−	0.775630i	0.203455	−	0.979084i	$-0.434783\pi$
$947$	−23.8687	−	23.8687i	−0.775630	−	0.775630i	−0.979084	+	0.203455i	$0.934783\pi$
$948$	−3.11053	−	19.6391i	−0.101025	−	0.637850i
$949$	3.49438	+	1.13539i	0.113432	+	0.0368564i
$950$	−1.35087	−	1.04783i	−0.0438279	−	0.0339962i
$951$	−6.78584	+	4.93020i	−0.220046	+	0.159873i
$952$	−1.23124	+	7.77377i	−0.0399048	+	0.251949i
$953$	12.7933	−	25.1082i	0.414415	−	0.813336i	−0.585581	−	0.810614i	$-0.699134\pi$
$953$	12.7933	−	25.1082i	0.414415	−	0.813336i	0.999996	−	0.00272200i	$-0.000866441\pi$
$954$	−0.752666	+	2.31647i	−0.0243684	+	0.0749984i
$955$	25.4388	−	28.8547i	0.823180	−	0.933717i
$956$		−	7.42189i		−	0.240041i
$957$	3.27508	−	33.1431i	0.105868	−	1.07136i
$958$	−18.9815	+	18.9815i	−0.613264	+	0.613264i
$959$	−15.8516	−	11.5169i	−0.511875	−	0.371899i
$960$	2.72258	+	6.87644i	0.0878710	+	0.221936i
$961$	−7.03844	−	21.6621i	−0.227046	−	0.698777i
$962$	5.64306	+	0.893774i	0.181940	+	0.0288164i
$963$	−13.9746	−	2.21335i	−0.450324	−	0.0713243i
$964$	−10.3342	−	31.8055i	−0.332844	−	1.02439i
$965$	−8.38095	−	21.1678i	−0.269792	−	0.681416i
$966$	1.73286	+	1.25899i	0.0557537	+	0.0405074i
$967$	35.6407	−	35.6407i	1.14613	−	1.14613i	0.158819	−	0.987308i	$-0.449231\pi$
$967$	35.6407	−	35.6407i	1.14613	−	1.14613i	0.987308	−	0.158819i	$-0.0507687\pi$
$968$	7.93896	+	28.2189i	0.255168	+	0.906990i
$969$			1.41783i			0.0455471i
$970$	−8.64805	+	9.80931i	−0.277672	+	0.314958i
$971$	−2.66602	+	8.20517i	−0.0855567	+	0.263317i	−0.984678	−	0.174383i	$-0.944207\pi$
$971$	−2.66602	+	8.20517i	−0.0855567	+	0.263317i	0.899121	+	0.437700i	$0.144207\pi$
$972$	−0.625324	+	1.22727i	−0.0200573	+	0.0393646i
$973$	2.36903	−	14.9575i	0.0759475	−	0.479514i
$974$	−2.79716	+	2.03225i	−0.0896267	+	0.0651176i
$975$	0.403798	+	3.19633i	0.0129319	+	0.102364i
$976$	−7.70807	−	2.50450i	−0.246729	−	0.0801672i
$977$	2.48356	+	15.6806i	0.0794562	+	0.501667i	0.995035	+	0.0995276i	$0.0317332\pi$
$977$	2.48356	+	15.6806i	0.0794562	+	0.501667i	−0.915579	+	0.402139i	$0.868267\pi$
$978$	0.470640	+	0.470640i	0.0150494	+	0.0150494i
$979$	−10.9746	−	13.3813i	−0.350749	−	0.427669i
$980$	−1.79275	+	18.9656i	−0.0572674	+	0.605833i
$981$	2.61675	−	3.60165i	0.0835464	−	0.114992i
$982$	9.71737	−	4.95125i	0.310094	−	0.158001i
$983$	8.91798	+	4.54394i	0.284439	+	0.144929i	0.590390	−	0.807118i	$-0.298974\pi$
$983$	8.91798	+	4.54394i	0.284439	+	0.144929i	−0.305950	+	0.952047i	$0.598974\pi$
$984$	−4.26892	−	5.87566i	−0.136088	−	0.187309i
$985$	30.6492	+	7.86935i	0.976566	+	0.250738i
$986$	−24.6558	+	8.01117i	−0.785202	+	0.255128i
$987$	1.84452	+	3.62008i	0.0587118	+	0.115228i
$988$	−0.379857	+	0.0601635i	−0.0120849	+	0.00191406i
$989$	18.8703			0.600039
$990$	−4.28274	+	3.98766i	−0.136114	+	0.126736i
$991$	−48.8748			−1.55256			−0.776279	−	0.630389i	$-0.782895\pi$
$991$	−48.8748			−1.55256			−0.776279	+	0.630389i	$0.782895\pi$
$992$	−16.5529	+	2.62173i	−0.525556	+	0.0832400i
$993$	8.04750	+	15.7941i	0.255380	+	0.501211i
$994$	−3.61566	+	1.17480i	−0.114682	+	0.0372623i
$995$	−19.0691	+	11.2775i	−0.604531	+	0.357520i
$996$	−5.48700	−	7.55221i	−0.173862	−	0.239301i
$997$	−14.7782	−	7.52985i	−0.468029	−	0.238473i	0.204038	−	0.978963i	$-0.434593\pi$
$997$	−14.7782	−	7.52985i	−0.468029	−	0.238473i	−0.672067	+	0.740490i	$0.734593\pi$
$998$	−3.37966	+	1.72202i	−0.106981	+	0.0545097i
$999$	6.60522	−	9.09131i	0.208980	−	0.287636i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.w.a.7.8	✓	96
3.2	odd	2		495.2.bj.c.172.5		96
5.2	odd	4		825.2.cw.b.568.8		96
5.3	odd	4	inner	165.2.w.a.73.5	yes	96
5.4	even	2		825.2.cw.b.7.5		96
11.8	odd	10	inner	165.2.w.a.52.5	yes	96
15.8	even	4		495.2.bj.c.73.8		96
33.8	even	10		495.2.bj.c.217.8		96
55.8	even	20	inner	165.2.w.a.118.8	yes	96
55.19	odd	10		825.2.cw.b.382.8		96
55.52	even	20		825.2.cw.b.118.5		96
165.8	odd	20		495.2.bj.c.118.5		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.w.a.7.8	✓	96	1.1	even	1	trivial
165.2.w.a.52.5	yes	96	11.8	odd	10	inner
165.2.w.a.73.5	yes	96	5.3	odd	4	inner
165.2.w.a.118.8	yes	96	55.8	even	20	inner
495.2.bj.c.73.8		96	15.8	even	4
495.2.bj.c.118.5		96	165.8	odd	20
495.2.bj.c.172.5		96	3.2	odd	2
495.2.bj.c.217.8		96	33.8	even	10
825.2.cw.b.7.5		96	5.4	even	2
825.2.cw.b.118.5		96	55.52	even	20
825.2.cw.b.382.8		96	55.19	odd	10
825.2.cw.b.568.8		96	5.2	odd	4

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.779339 - 0.123435i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.30998 + 0.425638i) q^{4} +(1.13825 + 1.92468i) q^{5} +(0.463794 + 0.638358i) q^{6} +(0.804274 + 0.409798i) q^{7} +(-2.37448 + 1.20986i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})\)	\(q+(0.779339 - 0.123435i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.30998 + 0.425638i) q^{4} +(1.13825 + 1.92468i) q^{5} +(0.463794 + 0.638358i) q^{6} +(0.804274 + 0.409798i) q^{7} +(-2.37448 + 1.20986i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(1.12466 + 1.35948i) q^{10} +(2.56446 - 2.10322i) q^{11} +(-0.973965 - 0.973965i) q^{12} +(-0.100798 - 0.636414i) q^{13} +(0.677386 + 0.220096i) q^{14} +(-1.19814 + 1.88798i) q^{15} +(0.527482 - 0.383238i) q^{16} +(0.511838 - 3.23162i) q^{17} +(-0.358223 + 0.703052i) q^{18} +(-0.133908 + 0.412125i) q^{19} +(-2.31030 - 2.03680i) q^{20} +0.902658i q^{21} +(1.73897 - 1.95567i) q^{22} +(2.12647 - 2.12647i) q^{23} +(-2.15599 - 1.56642i) q^{24} +(-2.40876 + 4.38154i) q^{25} +(-0.157112 - 0.483540i) q^{26} +(-0.987688 - 0.156434i) q^{27} +(-1.22801 - 0.194497i) q^{28} +(-3.10305 - 9.55022i) q^{29} +(-0.700717 + 1.61927i) q^{30} +(-2.31994 - 1.68553i) q^{31} +(4.13258 - 4.13258i) q^{32} +(3.03822 + 1.33011i) q^{33} -2.58171i q^{34} +(0.126739 + 2.01442i) q^{35} +(0.425638 - 1.30998i) q^{36} +(-5.10171 + 10.0127i) q^{37} +(-0.0534887 + 0.337714i) q^{38} +(0.521287 - 0.378737i) q^{39} +(-5.03135 - 3.19299i) q^{40} +(2.59189 + 0.842157i) q^{41} +(0.111420 + 0.703477i) q^{42} +(4.43699 + 4.43699i) q^{43} +(-2.46418 + 3.84671i) q^{44} +(-2.22614 - 0.210430i) q^{45} +(1.39476 - 1.91973i) q^{46} +(4.01047 - 2.04343i) q^{47} +(0.580940 + 0.296004i) q^{48} +(-3.63557 - 5.00394i) q^{49} +(-1.33640 + 3.71203i) q^{50} +(3.11176 - 1.01107i) q^{51} +(0.402925 + 0.790786i) q^{52} +(3.04883 - 0.482887i) q^{53} -0.789054 q^{54} +(6.96703 + 2.54176i) q^{55} -2.40553 q^{56} +(-0.427999 + 0.0677884i) q^{57} +(-3.59716 - 7.05983i) q^{58} +(-8.23970 + 2.67724i) q^{59} +(0.765948 - 2.98319i) q^{60} +(-7.30647 - 10.0565i) q^{61} +(-2.01607 - 1.02724i) q^{62} +(-0.804274 + 0.409798i) q^{63} +(1.94410 - 2.67583i) q^{64} +(1.11016 - 0.918404i) q^{65} +(2.53199 + 0.661584i) q^{66} +(5.55019 + 5.55019i) q^{67} +(0.705003 + 4.45121i) q^{68} +(2.86010 + 0.929303i) q^{69} +(0.347423 + 1.55427i) q^{70} +(-4.31826 + 3.13740i) q^{71} +(0.416889 - 2.63214i) q^{72} +(-2.58875 + 5.08071i) q^{73} +(-2.74005 + 8.43299i) q^{74} +(-4.99753 - 0.157042i) q^{75} -0.596872i q^{76} +(2.92443 - 0.640653i) q^{77} +(0.359510 - 0.359510i) q^{78} +(11.6789 + 8.48522i) q^{79} +(1.33802 + 0.579010i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(2.12391 + 0.336395i) q^{82} +(6.69388 + 1.06021i) q^{83} +(-0.384206 - 1.18246i) q^{84} +(6.80242 - 2.69328i) q^{85} +(4.00560 + 2.91024i) q^{86} +(7.10055 - 7.10055i) q^{87} +(-3.54467 + 8.09670i) q^{88} -5.21798i q^{89} +(-1.76090 + 0.110788i) q^{90} +(0.179732 - 0.553158i) q^{91} +(-1.88053 + 3.69074i) q^{92} +(0.448591 - 2.83229i) q^{93} +(2.87328 - 2.08756i) q^{94} +(-0.945628 + 0.211374i) q^{95} +(5.55831 + 1.80601i) q^{96} +(1.15945 + 7.32050i) q^{97} +(-3.45101 - 3.45101i) q^{98} +(0.194187 + 3.31094i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 8 q^{5} - 20 q^{7}+O(q^{10}) \) 96 * q - 8 * q^5 - 20 * q^7	\( 96 q - 8 q^{5} - 20 q^{7} + 8 q^{11} - 16 q^{12} - 12 q^{15} + 8 q^{16} - 20 q^{17} - 60 q^{20} - 32 q^{22} + 32 q^{23} - 32 q^{25} - 60 q^{28} - 40 q^{30} + 16 q^{31} - 16 q^{33} + 24 q^{36} + 8 q^{37} + 56 q^{38} - 120 q^{41} + 12 q^{42} - 200 q^{46} + 60 q^{47} + 48 q^{48} + 80 q^{50} + 40 q^{51} + 40 q^{52} + 36 q^{53} + 80 q^{55} - 80 q^{56} + 40 q^{57} + 44 q^{58} + 48 q^{60} + 40 q^{61} + 80 q^{62} + 20 q^{63} + 56 q^{66} - 48 q^{67} + 80 q^{68} - 92 q^{70} + 32 q^{71} - 60 q^{73} - 24 q^{77} - 96 q^{78} - 80 q^{80} + 24 q^{81} + 32 q^{82} - 200 q^{83} - 80 q^{85} - 80 q^{86} - 144 q^{88} + 56 q^{91} + 20 q^{92} - 72 q^{93} + 60 q^{95} + 32 q^{97}+O(q^{100}) \) 96 * q - 8 * q^5 - 20 * q^7 + 8 * q^11 - 16 * q^12 - 12 * q^15 + 8 * q^16 - 20 * q^17 - 60 * q^20 - 32 * q^22 + 32 * q^23 - 32 * q^25 - 60 * q^28 - 40 * q^30 + 16 * q^31 - 16 * q^33 + 24 * q^36 + 8 * q^37 + 56 * q^38 - 120 * q^41 + 12 * q^42 - 200 * q^46 + 60 * q^47 + 48 * q^48 + 80 * q^50 + 40 * q^51 + 40 * q^52 + 36 * q^53 + 80 * q^55 - 80 * q^56 + 40 * q^57 + 44 * q^58 + 48 * q^60 + 40 * q^61 + 80 * q^62 + 20 * q^63 + 56 * q^66 - 48 * q^67 + 80 * q^68 - 92 * q^70 + 32 * q^71 - 60 * q^73 - 24 * q^77 - 96 * q^78 - 80 * q^80 + 24 * q^81 + 32 * q^82 - 200 * q^83 - 80 * q^85 - 80 * q^86 - 144 * q^88 + 56 * q^91 + 20 * q^92 - 72 * q^93 + 60 * q^95 + 32 * q^97

Introduction

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