LMFDB - Embedded newform 115.2.j.a.9.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [115,2,Mod(4,115)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(115, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 4]))

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

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

chi := DirichletCharacter("115.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 115 = 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	115.j (of order $22$, degree $10$, 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:	$0.918279623245$
Analytic rank:	$0$
Dimension:	$100$
Relative dimension:	$10$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			9.4
Character	$\chi$	$=$	115.9
Dual form			115.2.j.a.64.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.320885 - 1.09283i) q^{2} +(1.24484 - 1.07866i) q^{3} +(0.591189 - 0.379934i) q^{4} +(0.429235 + 2.19448i) q^{5} +(-1.57825 - 1.01428i) q^{6} +(1.40950 + 0.643697i) q^{7} +(-2.32646 - 2.01589i) q^{8} +(-0.0408222 + 0.283925i) q^{9} +O(q^{10})$	\(q+(-0.320885 - 1.09283i) q^{2} +(1.24484 - 1.07866i) q^{3} +(0.591189 - 0.379934i) q^{4} +(0.429235 + 2.19448i) q^{5} +(-1.57825 - 1.01428i) q^{6} +(1.40950 + 0.643697i) q^{7} +(-2.32646 - 2.01589i) q^{8} +(-0.0408222 + 0.283925i) q^{9} +(2.26047 - 1.17326i) q^{10} +(-4.00579 - 1.17621i) q^{11} +(0.326117 - 1.11065i) q^{12} +(-5.39026 + 2.46165i) q^{13} +(0.251167 - 1.74690i) q^{14} +(2.90144 + 2.26879i) q^{15} +(-0.872642 + 1.91082i) q^{16} +(0.798760 - 1.24289i) q^{17} +(0.323382 - 0.0464953i) q^{18} +(6.07675 - 3.90529i) q^{19} +(1.08752 + 1.13427i) q^{20} +(2.44894 - 0.719074i) q^{21} +4.75509i q^{22} +(-3.89631 + 2.79621i) q^{23} -5.07055 q^{24} +(-4.63151 + 1.88390i) q^{25} +(4.41983 + 5.10075i) q^{26} +(2.92702 + 4.55453i) q^{27} +(1.07784 - 0.154970i) q^{28} +(2.24279 + 1.44135i) q^{29} +(1.54838 - 3.89881i) q^{30} +(0.638526 - 0.736898i) q^{31} +(-3.72580 - 0.535690i) q^{32} +(-6.25531 + 2.85671i) q^{33} +(-1.61459 - 0.474086i) q^{34} +(-0.807576 + 3.36942i) q^{35} +(0.0837390 + 0.183363i) q^{36} +(6.34545 + 0.912338i) q^{37} +(-6.21777 - 5.38773i) q^{38} +(-4.05474 + 8.87865i) q^{39} +(3.42524 - 5.97067i) q^{40} +(-0.434006 - 3.01857i) q^{41} +(-1.57166 - 2.44555i) q^{42} +(7.10485 - 6.15639i) q^{43} +(-2.81506 + 0.826575i) q^{44} +(-0.640591 + 0.0322868i) q^{45} +(4.30606 + 3.36076i) q^{46} -3.03002i q^{47} +(0.974829 + 3.31996i) q^{48} +(-3.01168 - 3.47566i) q^{49} +(3.54497 + 4.45696i) q^{50} +(-0.346334 - 2.40881i) q^{51} +(-2.25140 + 3.50324i) q^{52} +(1.91146 + 0.872932i) q^{53} +(4.03811 - 4.66022i) q^{54} +(0.861738 - 9.29550i) q^{55} +(-1.98152 - 4.33893i) q^{56} +(3.35212 - 11.4163i) q^{57} +(0.855482 - 2.91350i) q^{58} +(-1.42947 - 3.13011i) q^{59} +(2.57729 + 0.238927i) q^{60} +(-1.61183 + 1.86015i) q^{61} +(-1.01020 - 0.461343i) q^{62} +(-0.240301 + 0.373915i) q^{63} +(1.20804 + 8.40212i) q^{64} +(-7.71574 - 10.7722i) q^{65} +(5.12914 + 5.91934i) q^{66} +(1.00941 + 3.43775i) q^{67} -1.03826i q^{68} +(-1.83413 + 7.68365i) q^{69} +(3.94136 - 0.198651i) q^{70} +(-6.31720 + 1.85490i) q^{71} +(0.667332 - 0.578247i) q^{72} +(-4.77788 - 7.43453i) q^{73} +(-1.03913 - 7.22728i) q^{74} +(-3.73342 + 7.34101i) q^{75} +(2.10875 - 4.61753i) q^{76} +(-4.88904 - 4.23637i) q^{77} +(11.0040 + 1.58214i) q^{78} +(2.53011 + 5.54018i) q^{79} +(-4.56783 - 1.09481i) q^{80} +(7.73081 + 2.26997i) q^{81} +(-3.15953 + 1.44291i) q^{82} +(4.51112 + 0.648601i) q^{83} +(1.17459 - 1.35554i) q^{84} +(3.07037 + 1.21937i) q^{85} +(-9.00775 - 5.78893i) q^{86} +(4.34666 - 0.624955i) q^{87} +(6.94820 + 10.8116i) q^{88} +(5.73812 + 6.62215i) q^{89} +(0.240840 + 0.689699i) q^{90} -9.18213 q^{91} +(-1.24108 + 3.13343i) q^{92} -1.60608i q^{93} +(-3.31131 + 0.972287i) q^{94} +(11.1785 + 11.6590i) q^{95} +(-5.21588 + 3.35204i) q^{96} +(-13.8065 + 1.98507i) q^{97} +(-2.83192 + 4.40655i) q^{98} +(0.497479 - 1.08933i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9}+O(q^{10}) $ 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9	$ 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9} - 13 q^{10} - 26 q^{11} - 26 q^{14} - 10 q^{15} - 18 q^{16} - 14 q^{19} + 49 q^{20} - 22 q^{21} - 68 q^{24} + 21 q^{25} - 42 q^{26} - 24 q^{29} + 19 q^{30} - 12 q^{31} + 8 q^{34} - 37 q^{35} - 10 q^{36} + 14 q^{39} - q^{40} + 8 q^{41} + 166 q^{44} - 42 q^{45} - 18 q^{46} + 32 q^{49} - 23 q^{50} - 22 q^{51} + 116 q^{54} + 27 q^{55} - 116 q^{56} + 50 q^{59} + 123 q^{60} - 38 q^{61} + 10 q^{64} + 76 q^{65} - 28 q^{66} + 80 q^{69} + 102 q^{70} - 110 q^{71} + 22 q^{74} + 6 q^{75} + 4 q^{76} + 42 q^{79} + 18 q^{80} + 204 q^{81} + 56 q^{84} - 121 q^{85} + 132 q^{86} - 66 q^{89} - 198 q^{90} + 76 q^{91} - 70 q^{94} - 74 q^{95} + 236 q^{96} - 60 q^{99}+O(q^{100}) $ 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9 - 13 * q^10 - 26 * q^11 - 26 * q^14 - 10 * q^15 - 18 * q^16 - 14 * q^19 + 49 * q^20 - 22 * q^21 - 68 * q^24 + 21 * q^25 - 42 * q^26 - 24 * q^29 + 19 * q^30 - 12 * q^31 + 8 * q^34 - 37 * q^35 - 10 * q^36 + 14 * q^39 - q^40 + 8 * q^41 + 166 * q^44 - 42 * q^45 - 18 * q^46 + 32 * q^49 - 23 * q^50 - 22 * q^51 + 116 * q^54 + 27 * q^55 - 116 * q^56 + 50 * q^59 + 123 * q^60 - 38 * q^61 + 10 * q^64 + 76 * q^65 - 28 * q^66 + 80 * q^69 + 102 * q^70 - 110 * q^71 + 22 * q^74 + 6 * q^75 + 4 * q^76 + 42 * q^79 + 18 * q^80 + 204 * q^81 + 56 * q^84 - 121 * q^85 + 132 * q^86 - 66 * q^89 - 198 * q^90 + 76 * q^91 - 70 * q^94 - 74 * q^95 + 236 * q^96 - 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/115\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{5}{11}\right)$

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 $

$2$	−0.320885	−	1.09283i	−0.226900	−	0.772750i	−0.991710	−	0.128495i	$-0.958986\pi$
$2$	−0.320885	−	1.09283i	−0.226900	−	0.772750i	0.764810	−	0.644256i	$-0.222833\pi$
$3$	1.24484	−	1.07866i	0.718712	−	0.622767i	−0.216737	−	0.976230i	$-0.569541\pi$
$3$	1.24484	−	1.07866i	0.718712	−	0.622767i	0.935449	+	0.353463i	$0.114996\pi$
$4$	0.591189	−	0.379934i	0.295594	−	0.189967i
$5$	0.429235	+	2.19448i	0.191960	+	0.981403i
$5$	0.429235	+	2.19448i	0.191960	+	0.981403i
$6$	−1.57825	−	1.01428i	−0.644319	−	0.414079i
$7$	1.40950	+	0.643697i	0.532741	+	0.243295i	0.663575	−	0.748110i	$-0.269038\pi$
$7$	1.40950	+	0.643697i	0.532741	+	0.243295i	−0.130834	+	0.991404i	$0.541766\pi$
$8$	−2.32646	−	2.01589i	−0.822528	−	0.712725i
$9$	−0.0408222	+	0.283925i	−0.0136074	+	0.0946416i
$10$	2.26047	−	1.17326i	0.714823	−	0.371017i
$11$	−4.00579	−	1.17621i	−1.20779	−	0.354639i	−0.384964	−	0.922932i	$-0.625786\pi$
$11$	−4.00579	−	1.17621i	−1.20779	−	0.354639i	−0.822827	+	0.568293i	$0.807604\pi$
$12$	0.326117	−	1.11065i	0.0941419	−	0.320618i
$13$	−5.39026	+	2.46165i	−1.49499	+	0.682739i	−0.984215	−	0.176976i	$-0.943368\pi$
$13$	−5.39026	+	2.46165i	−1.49499	+	0.682739i	−0.510774	+	0.859715i	$0.670641\pi$
$14$	0.251167	−	1.74690i	0.0671271	−	0.466879i
$15$	2.90144	+	2.26879i	0.749149	+	0.585799i
$16$	−0.872642	+	1.91082i	−0.218161	+	0.477705i
$17$	0.798760	−	1.24289i	0.193728	−	0.301446i	−0.730777	−	0.682616i	$-0.760842\pi$
$17$	0.798760	−	1.24289i	0.193728	−	0.301446i	0.924505	+	0.381170i	$0.124479\pi$
$18$	0.323382	−	0.0464953i	0.0762218	−	0.0109590i
$19$	6.07675	−	3.90529i	1.39410	−	0.895935i	0.394367	−	0.918953i	$-0.370964\pi$
$19$	6.07675	−	3.90529i	1.39410	−	0.895935i	0.999735	+	0.0230176i	$0.00732739\pi$
$20$	1.08752	+	1.13427i	0.243176	+	0.253631i
$21$	2.44894	−	0.719074i	0.534403	−	0.156915i
$22$			4.75509i			1.01379i
$23$	−3.89631	+	2.79621i	−0.812437	+	0.583049i
$23$	−3.89631	+	2.79621i	−0.812437	+	0.583049i
$24$	−5.07055			−1.03502
$25$	−4.63151	+	1.88390i	−0.926303	+	0.376780i
$26$	4.41983	+	5.10075i	0.866799	+	1.00034i
$27$	2.92702	+	4.55453i	0.563305	+	0.876519i
$28$	1.07784	−	0.154970i	0.203693	−	0.0292867i
$29$	2.24279	+	1.44135i	0.416475	+	0.267653i	0.732054	−	0.681247i	$-0.238562\pi$
$29$	2.24279	+	1.44135i	0.416475	+	0.267653i	−0.315578	+	0.948900i	$0.602198\pi$
$30$	1.54838	−	3.89881i	0.282695	−	0.711823i
$31$	0.638526	−	0.736898i	0.114683	−	0.132351i	−0.695505	−	0.718521i	$-0.744819\pi$
$31$	0.638526	−	0.736898i	0.114683	−	0.132351i	0.810188	+	0.586170i	$0.199365\pi$
$32$	−3.72580	−	0.535690i	−0.658635	−	0.0946975i
$33$	−6.25531	+	2.85671i	−1.08891	+	0.497289i
$34$	−1.61459	−	0.474086i	−0.276899	−	0.0813050i
$35$	−0.807576	+	3.36942i	−0.136505	+	0.569536i
$36$	0.0837390	+	0.183363i	0.0139565	+	0.0305605i
$37$	6.34545	+	0.912338i	1.04319	+	0.149987i	0.642545	−	0.766248i	$-0.277878\pi$
$37$	6.34545	+	0.912338i	1.04319	+	0.149987i	0.400641	+	0.916235i	$0.368788\pi$
$38$	−6.21777	−	5.38773i	−1.00866	−	0.874005i
$39$	−4.05474	+	8.87865i	−0.649279	+	1.42172i
$40$	3.42524	−	5.97067i	0.541578	−	0.944046i
$41$	−0.434006	−	3.01857i	−0.0677803	−	0.471422i	−0.995236	−	0.0974903i	$-0.968918\pi$
$41$	−0.434006	−	3.01857i	−0.0677803	−	0.471422i	0.927456	−	0.373932i	$-0.121991\pi$
$42$	−1.57166	−	2.44555i	−0.242512	−	0.377356i
$43$	7.10485	−	6.15639i	1.08348	−	0.938841i	0.0851361	−	0.996369i	$-0.472868\pi$
$43$	7.10485	−	6.15639i	1.08348	−	0.938841i	0.998344	+	0.0575286i	$0.0183220\pi$
$44$	−2.81506	+	0.826575i	−0.424386	+	0.124611i
$45$	−0.640591	+	0.0322868i	−0.0954936	+	0.00481303i
$46$	4.30606	+	3.36076i	0.634893	+	0.495517i
$47$		−	3.03002i		−	0.441974i	−0.975277	−	0.220987i	$-0.929072\pi$
$47$		−	3.03002i		−	0.441974i	0.975277	−	0.220987i	$-0.0709278\pi$
$48$	0.974829	+	3.31996i	0.140704	+	0.479195i
$49$	−3.01168	−	3.47566i	−0.430240	−	0.496524i
$50$	3.54497	+	4.45696i	0.501335	+	0.630309i
$51$	−0.346334	−	2.40881i	−0.0484964	−	0.337300i
$52$	−2.25140	+	3.50324i	−0.312213	+	0.485812i
$53$	1.91146	+	0.872932i	0.262559	+	0.119906i	0.542345	−	0.840156i	$-0.317536\pi$
$53$	1.91146	+	0.872932i	0.262559	+	0.119906i	−0.279787	+	0.960062i	$0.590264\pi$
$54$	4.03811	−	4.66022i	0.549517	−	0.634176i
$55$	0.861738	−	9.29550i	0.116197	−	1.25341i
$56$	−1.98152	−	4.33893i	−0.264792	−	0.579814i
$57$	3.35212	−	11.4163i	0.443999	−	1.51212i
$58$	0.855482	−	2.91350i	0.112330	−	0.382562i
$59$	−1.42947	−	3.13011i	−0.186102	−	0.407506i	0.793468	−	0.608612i	$-0.208274\pi$
$59$	−1.42947	−	3.13011i	−0.186102	−	0.407506i	−0.979569	+	0.201106i	$0.935546\pi$
$60$	2.57729	+	0.238927i	0.332727	+	0.0308454i
$61$	−1.61183	+	1.86015i	−0.206374	+	0.238168i	−0.849495	−	0.527596i	$-0.823093\pi$
$61$	−1.61183	+	1.86015i	−0.206374	+	0.238168i	0.643122	+	0.765764i	$0.277639\pi$
$62$	−1.01020	−	0.461343i	−0.128296	−	0.0585906i
$63$	−0.240301	+	0.373915i	−0.0302750	+	0.0471088i
$64$	1.20804	+	8.40212i	0.151005	+	1.05026i
$65$	−7.71574	−	10.7722i	−0.957019	−	1.33613i
$66$	5.12914	+	5.91934i	0.631354	+	0.728621i
$67$	1.00941	+	3.43775i	0.123320	+	0.419988i	0.997891	−	0.0649084i	$-0.0206755\pi$
$67$	1.00941	+	3.43775i	0.123320	+	0.419988i	−0.874572	+	0.484896i	$0.838857\pi$
$68$		−	1.03826i		−	0.125908i
$69$	−1.83413	+	7.68365i	−0.220804	+	0.925003i
$70$	3.94136	−	0.198651i	0.471082	−	0.0237433i
$71$	−6.31720	+	1.85490i	−0.749714	+	0.220136i	−0.634199	−	0.773170i	$-0.718670\pi$
$71$	−6.31720	+	1.85490i	−0.749714	+	0.220136i	−0.115515	+	0.993306i	$0.536852\pi$
$72$	0.667332	−	0.578247i	0.0786459	−	0.0681470i
$73$	−4.77788	−	7.43453i	−0.559209	−	0.870146i	0.440409	−	0.897797i	$-0.354833\pi$
$73$	−4.77788	−	7.43453i	−0.559209	−	0.870146i	−0.999618	+	0.0276515i	$0.991197\pi$
$74$	−1.03913	−	7.22728i	−0.120796	−	0.840154i
$75$	−3.73342	+	7.34101i	−0.431099	+	0.847667i
$76$	2.10875	−	4.61753i	0.241891	−	0.529667i
$77$	−4.88904	−	4.23637i	−0.557157	−	0.482780i
$78$	11.0040	+	1.58214i	1.24596	+	0.179142i
$79$	2.53011	+	5.54018i	0.284660	+	0.623319i	0.996905	−	0.0786121i	$-0.0250489\pi$
$79$	2.53011	+	5.54018i	0.284660	+	0.623319i	−0.712245	+	0.701931i	$0.752322\pi$
$80$	−4.56783	−	1.09481i	−0.510699	−	0.122403i
$81$	7.73081	+	2.26997i	0.858979	+	0.252219i
$82$	−3.15953	+	1.44291i	−0.348912	+	0.159343i
$83$	4.51112	+	0.648601i	0.495159	+	0.0711932i	0.385371	−	0.922762i	$-0.374074\pi$
$83$	4.51112	+	0.648601i	0.495159	+	0.0711932i	0.109789	+	0.993955i	$0.464983\pi$
$84$	1.17459	−	1.35554i	0.128158	−	0.147902i
$85$	3.07037	+	1.21937i	0.333028	+	0.132259i
$86$	−9.00775	−	5.78893i	−0.971331	−	0.624236i
$87$	4.34666	−	0.624955i	0.466011	−	0.0670023i
$88$	6.94820	+	10.8116i	0.740681	+	1.15252i
$89$	5.73812	+	6.62215i	0.608240	+	0.701946i	0.973429	−	0.228987i	$-0.0735413\pi$
$89$	5.73812	+	6.62215i	0.608240	+	0.701946i	−0.365190	+	0.930933i	$0.618996\pi$
$90$	0.240840	+	0.689699i	0.0253868	+	0.0727006i
$91$	−9.18213			−0.962548
$92$	−1.24108	+	3.13343i	−0.129392	+	0.326682i
$93$		−	1.60608i		−	0.166543i
$94$	−3.31131	+	0.972287i	−0.341535	+	0.100284i
$95$	11.1785	+	11.6590i	1.14688	+	1.19619i
$96$	−5.21588	+	3.35204i	−0.532343	+	0.342116i
$97$	−13.8065	+	1.98507i	−1.40183	+	0.201553i	−0.801403	−	0.598124i	$-0.795913\pi$
$97$	−13.8065	+	1.98507i	−1.40183	+	0.201553i	−0.600430	+	0.799678i	$0.705004\pi$
$98$	−2.83192	+	4.40655i	−0.286067	+	0.445129i
$99$	0.497479	−	1.08933i	0.0499985	−	0.109481i
$100$	−2.02234	+	2.87341i	−0.202234	+	0.287341i
$101$	2.14777	−	14.9381i	0.213711	−	1.48639i	−0.546906	−	0.837194i	$-0.684194\pi$
$101$	2.14777	−	14.9381i	0.213711	−	1.48639i	0.760617	−	0.649201i	$-0.224897\pi$
$102$	−2.52129	+	1.15143i	−0.249645	+	0.114009i
$103$	−2.92096	+	9.94787i	−0.287811	+	0.980193i	0.680978	+	0.732304i	$0.261555\pi$
$103$	−2.92096	+	9.94787i	−0.287811	+	0.980193i	−0.968788	+	0.247889i	$0.920263\pi$
$104$	17.5026	+	5.13924i	1.71627	+	0.503944i
$105$	2.62917	+	5.06551i	0.256581	+	0.494343i
$106$	0.340613	−	2.36901i	0.0330832	−	0.230099i
$107$	9.65352	+	8.36482i	0.933241	+	0.808658i	0.981752	−	0.190165i	$-0.0609022\pi$
$107$	9.65352	+	8.36482i	0.933241	+	0.808658i	−0.0485111	+	0.998823i	$0.515448\pi$
$108$	3.46084	+	1.58051i	0.333019	+	0.152085i
$109$	−12.4371	−	7.99285i	−1.19126	−	0.765576i	−0.213836	−	0.976869i	$-0.568596\pi$
$109$	−12.4371	−	7.99285i	−1.19126	−	0.765576i	−0.977423	+	0.211294i	$0.932232\pi$
$110$	−10.4350	+	2.04105i	−0.994934	+	0.194606i
$111$	8.88321	−	5.70889i	0.843157	−	0.541864i
$112$	−2.45998	+	2.13158i	−0.232446	+	0.201416i
$113$	0.338944	+	1.15434i	0.0318852	+	0.108591i	0.973898	−	0.226986i	$-0.0728870\pi$
$113$	0.338944	+	1.15434i	0.0318852	+	0.108591i	−0.942013	+	0.335577i	$0.891069\pi$
$114$	−13.5517			−1.26923
$115$	−7.80866	−	7.35016i	−0.728162	−	0.685406i
$116$	1.87353			0.173953
$117$	−0.478881	−	1.63092i	−0.0442726	−	0.150778i
$118$	−2.96200	+	2.56658i	−0.272674	+	0.236273i
$119$	1.92590	−	1.23770i	0.176547	−	0.113460i
$120$	−2.17646	−	11.1272i	−0.198683	−	1.01577i
$121$	5.40908	+	3.47621i	0.491735	+	0.316019i
$122$	2.55005	+	1.16457i	0.230870	+	0.105435i
$123$	−3.79630	−	3.28951i	−0.342301	−	0.296605i
$124$	0.0975167	−	0.678244i	0.00875726	−	0.0609081i
$125$	−6.12219	−	9.35515i	−0.547586	−	0.836750i
$126$	0.485736	+	0.142625i	0.0432728	+	0.0127060i
$127$	0.972123	−	3.31075i	0.0862620	−	0.293781i	−0.905051	−	0.425302i	$-0.860168\pi$
$127$	0.972123	−	3.31075i	0.0862620	−	0.293781i	0.991313	+	0.131521i	$0.0419860\pi$
$128$	1.94655	−	0.888961i	0.172053	−	0.0785738i
$129$	2.20376	−	15.3275i	0.194030	−	1.34951i
$130$	−9.29637	+	11.8887i	−0.815346	+	1.04270i
$131$	−4.46085	+	9.76790i	−0.389746	+	0.853426i	0.608461	+	0.793583i	$0.291787\pi$
$131$	−4.46085	+	9.76790i	−0.389746	+	0.853426i	−0.998208	+	0.0598422i	$0.980940\pi$
$132$	−2.61271	+	4.06546i	−0.227407	+	0.353853i
$133$	11.0790	−	1.59292i	0.960672	−	0.138124i
$134$	3.43298	−	2.20624i	0.296565	−	0.190590i
$135$	−8.73846	+	8.37825i	−0.752087	+	0.721085i
$136$	−4.36382	+	1.28133i	−0.374195	+	0.109873i
$137$		−	6.58672i		−	0.562741i	−0.959599	−	0.281371i	$-0.909211\pi$
$137$		−	6.58672i		−	0.562741i	0.959599	−	0.281371i	$-0.0907890\pi$
$138$	8.98550	−	0.461167i	0.764897	−	0.0392572i
$139$	−2.99730			−0.254228			−0.127114	−	0.991888i	$-0.540571\pi$
$139$	−2.99730			−0.254228			−0.127114	+	0.991888i	$0.540571\pi$
$140$	0.802728	+	2.29879i	0.0678429	+	0.194283i
$141$	−3.26837	−	3.77190i	−0.275247	−	0.317652i
$142$	4.05419	+	6.30844i	0.340220	+	0.529393i
$143$	24.4876	−	3.52079i	2.04776	−	0.294423i
$144$	−0.506906	−	0.325769i	−0.0422422	−	0.0271474i
$145$	−2.20034	+	5.54044i	−0.182728	+	0.460109i
$146$	−6.59155	+	7.60706i	−0.545521	+	0.629565i
$147$	−7.49815	−	1.07807i	−0.618437	−	0.0889178i
$148$	4.09799	−	1.87149i	0.336853	−	0.153835i
$149$	4.38329	+	1.28705i	0.359093	+	0.105439i	0.456303	−	0.889825i	$-0.349173\pi$
$149$	4.38329	+	1.28705i	0.359093	+	0.105439i	−0.0972094	+	0.995264i	$0.530992\pi$
$150$	9.22050	+	1.72439i	0.752851	+	0.140796i
$151$	4.52490	+	9.90816i	0.368232	+	0.806315i	0.999526	+	0.0307717i	$0.00979649\pi$
$151$	4.52490	+	9.90816i	0.368232	+	0.806315i	−0.631295	+	0.775543i	$0.717476\pi$
$152$	−22.0100	−	3.16455i	−1.78524	−	0.256679i
$153$	0.320282	+	0.277526i	0.0258932	+	0.0224366i
$154$	−3.06083	+	6.70229i	−0.246649	+	0.540086i
$155$	1.89119	+	1.08493i	0.151904	+	0.0871438i
$156$	0.976182	+	6.78949i	0.0781571	+	0.543595i
$157$	6.10514	+	9.49978i	0.487243	+	0.758165i	0.994624	−	0.103557i	$-0.0330224\pi$
$157$	6.10514	+	9.49978i	0.487243	+	0.758165i	−0.507380	+	0.861722i	$0.669386\pi$
$158$	5.24262	−	4.54275i	0.417080	−	0.361402i
$159$	3.32107	−	0.975153i	0.263378	−	0.0773347i
$160$	−0.423684	−	8.40615i	−0.0334951	−	0.664565i
$161$	−7.29176	+	1.43321i	−0.574671	+	0.112953i
$162$		−	9.17689i		−	0.721005i
$163$	−2.33448	−	7.95050i	−0.182850	−	0.622731i	−0.998992	−	0.0448798i	$-0.985710\pi$
$163$	−2.33448	−	7.95050i	−0.182850	−	0.622731i	0.816142	−	0.577851i	$-0.196109\pi$
$164$	−1.40344	−	1.61965i	−0.109590	−	0.126474i
$165$	−8.95399	−	12.5010i	−0.697068	−	0.973200i
$166$	−0.738737	−	5.13803i	−0.0573371	−	0.398788i
$167$	13.1914	−	20.5261i	1.02078	−	1.58836i	0.232927	−	0.972494i	$-0.425170\pi$
$167$	13.1914	−	20.5261i	1.02078	−	1.58836i	0.787851	−	0.615866i	$-0.211194\pi$
$168$	−7.14694	−	3.26390i	−0.551398	−	0.251815i
$169$	14.4820	−	16.7131i	1.11400	−	1.28562i
$170$	0.347336	−	3.74668i	0.0266394	−	0.287357i
$171$	0.860743	+	1.88476i	0.0658226	+	0.144131i
$172$	1.86129	−	6.33896i	0.141922	−	0.483341i
$173$	−3.02613	+	10.3061i	−0.230073	+	0.783555i	0.760827	+	0.648954i	$0.224793\pi$
$173$	−3.02613	+	10.3061i	−0.230073	+	0.783555i	−0.990900	+	0.134601i	$0.957025\pi$
$174$	−2.07775	−	4.54964i	−0.157514	−	0.344907i
$175$	−7.74078	−	0.325938i	−0.585148	−	0.0246386i
$176$	5.74313	−	6.62793i	0.432905	−	0.499599i
$177$	−5.15582	−	2.35458i	−0.387535	−	0.176981i
$178$	5.39563	−	8.39576i	0.404419	−	0.629289i
$179$	−1.30715	−	9.09145i	−0.0977012	−	0.679527i	−0.978532	−	0.206095i	$-0.933924\pi$
$179$	−1.30715	−	9.09145i	−0.0977012	−	0.679527i	0.880831	−	0.473431i	$-0.156985\pi$
$180$	−0.366443	+	0.262470i	−0.0273131	+	0.0195633i
$181$	12.6057	+	14.5477i	0.936972	+	1.08132i	0.996541	+	0.0830995i	$0.0264819\pi$
$181$	12.6057	+	14.5477i	0.936972	+	1.08132i	−0.0595689	+	0.998224i	$0.518973\pi$
$182$	2.94641	+	10.0345i	0.218402	+	0.743809i
$183$			4.05422i			0.299697i
$184$	14.7015	+	1.34926i	1.08381	+	0.0994690i
$185$	0.721579	+	14.3166i	0.0530516	+	1.05258i
$186$	−1.75518	+	0.515367i	−0.128696	+	0.0377885i
$187$	−4.66156	+	4.03927i	−0.340887	+	0.295380i
$188$	−1.15121	−	1.79131i	−0.0839604	−	0.130645i
$189$	1.19389	+	8.30372i	0.0868431	+	0.604007i
$190$	9.15440	−	15.9574i	0.664130	−	1.15767i
$191$	−0.519824	+	1.13826i	−0.0376132	+	0.0823614i	−0.927506	−	0.373808i	$-0.878052\pi$
$191$	−0.519824	+	1.13826i	−0.0376132	+	0.0823614i	0.889893	+	0.456170i	$0.150779\pi$
$192$	10.5669	+	9.15626i	0.762600	+	0.660796i
$193$	−13.9290	−	2.00269i	−1.00263	−	0.144157i	−0.378605	−	0.925558i	$-0.623596\pi$
$193$	−13.9290	−	2.00269i	−1.00263	−	0.144157i	−0.624029	+	0.781401i	$0.714505\pi$
$194$	6.59963	+	14.4512i	0.473826	+	1.03753i
$195$	−21.2245	−	5.08704i	−1.51992	−	0.364291i
$196$	−3.10099	−	0.910534i	−0.221500	−	0.0650382i
$197$	20.4960	−	9.36020i	1.46028	−	0.666886i	0.482378	−	0.875963i	$-0.339773\pi$
$197$	20.4960	−	9.36020i	1.46028	−	0.666886i	0.977899	+	0.209077i	$0.0670459\pi$
$198$	−1.35009	−	0.194113i	−0.0959465	−	0.0137950i
$199$	−0.972483	+	1.12230i	−0.0689375	+	0.0795581i	−0.789171	−	0.614174i	$-0.789489\pi$
$199$	−0.972483	+	1.12230i	−0.0689375	+	0.0795581i	0.720233	+	0.693732i	$0.244035\pi$
$200$	14.5728	+	4.95381i	1.03045	+	0.350287i
$201$	4.96474	+	3.19065i	0.350186	+	0.225051i
$202$	−17.0140	+	2.44625i	−1.19710	+	0.172117i
$203$	2.23342	+	3.47526i	0.156755	+	0.243916i
$204$	−1.11994	−	1.29247i	−0.0784112	−	0.0904913i
$205$	6.43792	−	2.24810i	0.449644	−	0.157014i
$206$	11.8087			0.822748
$207$	−0.634857	−	1.22041i	−0.0441256	−	0.0848241i
$208$		−	12.4480i		−	0.863110i
$209$	−28.9356	+	8.49626i	−2.00152	+	0.587698i
$210$	4.69210	−	4.49869i	0.323786	−	0.310439i
$211$	10.4138	−	6.69256i	0.716917	−	0.460734i	−0.130646	−	0.991429i	$-0.541705\pi$
$211$	10.4138	−	6.69256i	0.716917	−	0.460734i	0.847563	+	0.530695i	$0.178069\pi$
$212$	1.46169	−	0.210159i	0.100389	−	0.0144338i
$213$	−5.86312	+	9.12320i	−0.401735	+	0.625111i
$214$	6.04369	−	13.2338i	0.413138	−	0.904647i
$215$	16.5597	+	12.9489i	1.12937	+	0.883111i
$216$	2.37183	−	16.4965i	0.161383	−	1.12244i
$217$	1.37434	−	0.627641i	0.0932964	−	0.0426070i
$218$	−4.74397	+	16.1565i	−0.321302	+	1.09425i
$219$	−13.9671	−	4.10111i	−0.943808	−	0.277127i
$220$	−3.02223	−	5.82280i	−0.203758	−	0.392573i
$221$	−1.24595	+	8.66579i	−0.0838119	+	0.582924i
$222$	−9.08936	−	7.87597i	−0.610038	−	0.528601i
$223$	−5.08124	−	2.32052i	−0.340265	−	0.155394i	0.237952	−	0.971277i	$-0.423524\pi$
$223$	−5.08124	−	2.32052i	−0.340265	−	0.155394i	−0.578217	+	0.815883i	$0.696251\pi$
$224$	−4.90670	−	3.15334i	−0.327843	−	0.210692i
$225$	−0.345817	−	1.39191i	−0.0230545	−	0.0927938i
$226$	1.15274	−	0.740819i	0.0766789	−	0.0492786i
$227$	−0.239218	+	0.207283i	−0.0158774	+	0.0137579i	−0.662763	−	0.748829i	$-0.730616\pi$
$227$	−0.239218	+	0.207283i	−0.0158774	+	0.0137579i	0.646886	+	0.762587i	$0.276071\pi$
$228$	−2.35569	−	8.02274i	−0.156009	−	0.531319i
$229$	−11.8915			−0.785810			−0.392905	−	0.919579i	$-0.628530\pi$
$229$	−11.8915			−0.785810			−0.392905	+	0.919579i	$0.628530\pi$
$230$	−5.52682	+	10.8921i	−0.364427	+	0.718205i
$231$	−10.6557			−0.701095
$232$	−2.31215	−	7.87447i	−0.151800	−	0.516984i
$233$	−21.5625	+	18.6840i	−1.41261	+	1.22403i	−0.473326	+	0.880887i	$0.656947\pi$
$233$	−21.5625	+	18.6840i	−1.41261	+	1.22403i	−0.939282	+	0.343145i	$0.888508\pi$
$234$	−1.62866	+	1.04667i	−0.106469	+	0.0684232i
$235$	6.64933	−	1.30059i	0.433754	−	0.0848412i
$236$	−2.03433	−	1.30738i	−0.132423	−	0.0851033i
$237$	9.12559	+	4.16752i	0.592771	+	0.270709i
$238$	−1.97059	−	1.70753i	−0.127735	−	0.110683i
$239$	−2.64917	+	18.4254i	−0.171361	+	1.19184i	0.704653	+	0.709552i	$0.251103\pi$
$239$	−2.64917	+	18.4254i	−0.171361	+	1.19184i	−0.876014	+	0.482287i	$0.839806\pi$
$240$	−6.86717	+	3.56429i	−0.443274	+	0.230074i
$241$	−25.8171	−	7.58060i	−1.66303	−	0.488309i	−0.690937	−	0.722915i	$-0.742802\pi$
$241$	−25.8171	−	7.58060i	−1.66303	−	0.488309i	−0.972091	+	0.234605i	$0.924620\pi$
$242$	2.06322	−	7.02669i	0.132629	−	0.451693i
$243$	−2.70198	+	1.23395i	−0.173332	+	0.0791581i
$244$	−0.246161	+	1.71209i	−0.0157589	+	0.109605i
$245$	6.33457	−	8.10096i	0.404701	−	0.517551i
$246$	−2.37671	+	5.20428i	−0.151534	+	0.331813i
$247$	−23.1418	+	36.0094i	−1.47248	+	2.29122i
$248$	−2.97101	+	0.427167i	−0.188659	+	0.0271251i
$249$	6.31526	−	4.05857i	0.400214	−	0.257202i
$250$	−8.25910	+	9.69246i	−0.522351	+	0.613005i
$251$	11.5799	−	3.40017i	0.730918	−	0.214617i	0.104963	−	0.994476i	$-0.466528\pi$
$251$	11.5799	−	3.40017i	0.730918	−	0.214617i	0.625955	+	0.779859i	$0.284709\pi$
$252$			0.312353i			0.0196764i
$253$	18.8967	−	6.61815i	1.18803	−	0.416080i
$254$	−3.93004			−0.246592
$255$	5.13742	−	1.79397i	0.321718	−	0.112343i
$256$	9.52149	+	10.9884i	0.595093	+	0.686774i
$257$	3.64168	+	5.66657i	0.227162	+	0.353471i	0.936060	−	0.351840i	$-0.114444\pi$
$257$	3.64168	+	5.66657i	0.227162	+	0.353471i	−0.708898	+	0.705311i	$0.750808\pi$
$258$	−17.4576	+	2.51002i	−1.08686	+	0.156267i
$259$	8.35665	+	5.37049i	0.519257	+	0.333706i
$260$	−8.65418	−	3.43694i	−0.536710	−	0.213150i
$261$	−0.500792	+	0.577944i	−0.0309982	+	0.0357739i
$262$	12.1061	+	1.74060i	0.747918	+	0.107534i
$263$	15.5088	−	7.08264i	0.956315	−	0.436734i	0.124766	−	0.992186i	$-0.460182\pi$
$263$	15.5088	−	7.08264i	0.956315	−	0.436734i	0.831549	+	0.555452i	$0.187455\pi$
$264$	20.3115	+	5.96401i	1.25009	+	0.367059i
$265$	−1.09517	+	4.56935i	−0.0672759	+	0.280693i
$266$	−5.29588	−	11.5964i	−0.324711	−	0.711019i
$267$	14.2861	+	2.05404i	0.874298	+	0.125705i
$268$	1.90287	+	1.64885i	0.116236	+	0.100719i
$269$	−5.60123	+	12.2650i	−0.341513	+	0.747810i	−0.999989	−	0.00479268i	$-0.998474\pi$
$269$	−5.60123	+	12.2650i	−0.341513	+	0.747810i	0.658475	+	0.752602i	$0.271202\pi$
$270$	11.9601	+	6.86123i	0.727867	+	0.417561i
$271$	−2.61458	−	18.1848i	−0.158825	−	1.10465i	−0.900804	−	0.434226i	$-0.857022\pi$
$271$	−2.61458	−	18.1848i	−0.158825	−	1.10465i	0.741979	−	0.670423i	$-0.233887\pi$
$272$	1.67792	+	2.61089i	0.101739	+	0.158308i
$273$	−11.4303	+	9.90443i	−0.691795	+	0.599444i
$274$	−7.19819	+	2.11358i	−0.434858	+	0.127686i
$275$	20.7687	−	2.09888i	1.25240	−	0.126567i
$276$	1.83496	+	5.23934i	0.110452	+	0.315371i
$277$			22.0544i			1.32512i	0.749008	+	0.662561i	$0.230531\pi$
$277$			22.0544i			1.32512i	−0.749008	+	0.662561i	$0.769469\pi$
$278$	0.961790	+	3.27555i	0.0576843	+	0.196455i
$279$	0.183158	+	0.211375i	0.0109654	+	0.0126547i
$280$	8.67117	−	6.21084i	0.518202	−	0.371169i
$281$	0.477468	+	3.32086i	0.0284834	+	0.198106i	0.999094	−	0.0425474i	$-0.0135474\pi$
$281$	0.477468	+	3.32086i	0.0284834	+	0.198106i	−0.970611	+	0.240653i	$0.922638\pi$
$282$	−3.07329	+	4.78213i	−0.183012	+	0.284772i
$283$	−8.53060	−	3.89580i	−0.507092	−	0.231581i	0.145406	−	0.989372i	$-0.453551\pi$
$283$	−8.53060	−	3.89580i	−0.507092	−	0.231581i	−0.652497	+	0.757791i	$0.726279\pi$
$284$	−3.02992	+	3.49671i	−0.179793	+	0.207492i
$285$	26.4916	+	2.45590i	1.56923	+	0.145475i
$286$	−11.7054	−	25.6311i	−0.692152	−	1.51560i
$287$	1.33132	−	4.53405i	0.0785852	−	0.267636i
$288$	0.304191	−	1.03598i	0.0179246	−	0.0610457i
$289$	6.15529	+	13.4782i	0.362076	+	0.792835i
$290$	6.76084	+	0.626763i	0.397010	+	0.0368048i
$291$	−15.0457	+	17.3636i	−0.881993	+	1.01787i
$292$	−5.64926	−	2.57993i	−0.330598	−	0.150979i
$293$	−2.19925	+	3.42210i	−0.128482	+	0.199921i	−0.899534	−	0.436850i	$-0.856094\pi$
$293$	−2.19925	+	3.42210i	−0.128482	+	0.199921i	0.771053	+	0.636771i	$0.219730\pi$
$294$	1.22789	+	8.54017i	0.0716121	+	0.498073i
$295$	6.25540	−	4.48051i	0.364203	−	0.260866i
$296$	−12.9233	−	14.9142i	−0.751150	−	0.866873i
$297$	−6.36795	−	21.6872i	−0.369506	−	1.25842i
$298$		−	5.20320i		−	0.301413i
$299$	14.1188	−	24.6636i	0.816513	−	1.42633i
$300$	0.581941	+	5.75838i	0.0335984	+	0.332460i
$301$	13.9771	−	4.10406i	0.805629	−	0.236554i
$302$	9.37600	−	8.12435i	0.539528	−	0.467504i
$303$	−13.4395	−	20.9123i	−0.772081	−	1.20138i
$304$	2.15948	+	15.0195i	0.123855	+	0.861427i
$305$	−4.77392	−	2.73869i	−0.273354	−	0.156817i
$306$	0.200516	−	0.439068i	0.0114627	−	0.0250999i
$307$	−13.0772	−	11.3315i	−0.746356	−	0.646721i	0.196278	−	0.980548i	$-0.437114\pi$
$307$	−13.0772	−	11.3315i	−0.746356	−	0.646721i	−0.942634	+	0.333827i	$0.891660\pi$
$308$	−4.49989	−	0.646986i	−0.256405	−	0.0368654i
$309$	7.09427	+	15.5343i	0.403579	+	0.883715i
$310$	0.578796	−	2.41489i	0.0328734	−	0.137157i
$311$	5.99870	+	1.76138i	0.340155	+	0.0998785i	0.447349	−	0.894360i	$-0.352368\pi$
$311$	5.99870	+	1.76138i	0.340155	+	0.0998785i	−0.107194	+	0.994238i	$0.534186\pi$
$312$	27.3316	−	12.4819i	1.54735	−	0.706649i
$313$	−15.0905	−	2.16968i	−0.852964	−	0.122638i	−0.298055	−	0.954549i	$-0.596338\pi$
$313$	−15.0905	−	2.16968i	−0.852964	−	0.122638i	−0.554909	+	0.831911i	$0.687247\pi$
$314$	8.42264	−	9.72024i	0.475317	−	0.548545i
$315$	−0.923695	−	0.366838i	−0.0520443	−	0.0206690i
$316$	3.60068	+	2.31401i	0.202554	+	0.130173i
$317$	17.3212	−	2.49041i	0.972856	−	0.139876i	0.362483	−	0.931990i	$-0.381929\pi$
$317$	17.3212	−	2.49041i	0.972856	−	0.139876i	0.610372	+	0.792115i	$0.291020\pi$
$318$	−2.13136	−	3.31646i	−0.119521	−	0.185978i
$319$	−7.28881	−	8.41173i	−0.408095	−	0.470967i
$320$	−17.9198	+	6.25751i	−1.00175	+	0.349806i
$321$	21.0400			1.17434
$322$	3.90608	+	7.50878i	0.217677	+	0.418448i
$323$		−	10.6722i		−	0.593815i
$324$	5.43281	−	1.59522i	0.301823	−	0.0886232i
$325$	20.3276	−	21.5559i	1.12757	−	1.19570i
$326$	−7.93947	+	5.10239i	−0.439727	+	0.282595i
$327$	−24.1039	+	3.46561i	−1.33295	+	0.191649i
$328$	−5.07542	+	7.89750i	−0.280243	+	0.436067i
$329$	1.95041	−	4.27081i	0.107530	−	0.235457i
$330$	−10.7883	+	13.7966i	−0.593876	+	0.759478i
$331$	−3.74185	+	26.0252i	−0.205671	+	1.43047i	0.581404	+	0.813615i	$0.302503\pi$
$331$	−3.74185	+	26.0252i	−0.205671	+	1.43047i	−0.787075	+	0.616857i	$0.788406\pi$
$332$	2.91335	−	1.33048i	0.159891	−	0.0730196i
$333$	−0.518071	+	1.76439i	−0.0283901	+	0.0966879i
$334$	−26.6646	−	7.82942i	−1.45902	−	0.428407i
$335$	−7.11081	+	3.69075i	−0.388505	+	0.201647i
$336$	−0.763029	+	5.30698i	−0.0416266	+	0.289520i
$337$	3.75313	+	3.25210i	0.204446	+	0.177153i	0.751066	−	0.660228i	$-0.229540\pi$
$337$	3.75313	+	3.25210i	0.204446	+	0.177153i	−0.546620	+	0.837381i	$0.684086\pi$
$338$	−22.9117	−	10.4634i	−1.24623	−	0.569135i
$339$	1.66708	+	1.07136i	0.0905431	+	0.0581885i
$340$	2.27845	−	0.445658i	0.123566	−	0.0241692i
$341$	−3.42454	+	2.20082i	−0.185449	+	0.119181i
$342$	1.78353	−	1.54544i	0.0964424	−	0.0835679i
$343$	−5.06356	−	17.2449i	−0.273406	−	0.931136i
$344$	−28.9398			−1.56033
$345$	−17.6489	−	0.726879i	−0.950186	−	0.0391338i
$346$	12.2338			0.657696
$347$	3.71262	+	12.6440i	0.199304	+	0.678767i	0.997118	+	0.0758639i	$0.0241714\pi$
$347$	3.71262	+	12.6440i	0.199304	+	0.678767i	−0.797814	+	0.602904i	$0.794010\pi$
$348$	2.33225	−	2.02091i	0.125022	−	0.108332i
$349$	−1.54418	+	0.992384i	−0.0826580	+	0.0531211i	−0.581317	−	0.813677i	$-0.697462\pi$
$349$	−1.54418	+	0.992384i	−0.0826580	+	0.0531211i	0.498659	+	0.866798i	$0.333826\pi$
$350$	2.12770	+	8.56397i	0.113731	+	0.457764i
$351$	−26.9890	−	17.3448i	−1.44057	−	0.925797i
$352$	14.2947	+	6.52817i	0.761910	+	0.347953i
$353$	24.1390	+	20.9166i	1.28479	+	1.11328i	0.987353	+	0.158537i	$0.0506776\pi$
$353$	24.1390	+	20.9166i	1.28479	+	1.11328i	0.297438	+	0.954741i	$0.403868\pi$
$354$	−0.918743	+	6.39000i	−0.0488306	+	0.339625i
$355$	−6.78211	−	13.0668i	−0.359957	−	0.693514i
$356$	5.90829	+	1.73483i	0.313139	+	0.0919459i
$357$	1.06238	−	3.61815i	0.0562273	−	0.191493i
$358$	−9.51599	+	4.34581i	−0.502936	+	0.229683i
$359$	3.10723	−	21.6113i	0.163993	−	1.14060i	−0.727018	−	0.686618i	$-0.759095\pi$
$359$	3.10723	−	21.6113i	0.163993	−	1.14060i	0.891012	−	0.453980i	$-0.149996\pi$
$360$	1.55540	+	1.21625i	0.0819765	+	0.0641018i
$361$	13.7827	−	30.1800i	0.725407	−	1.58842i
$362$	11.8533	−	18.4440i	0.622994	−	0.969398i
$363$	10.4831	−	1.50725i	0.550221	−	0.0791099i
$364$	−5.42837	+	3.48860i	−0.284524	+	0.182852i
$365$	14.2641	−	13.6761i	0.746618	−	0.715842i
$366$	4.43059	−	1.30094i	0.231591	−	0.0680011i
$367$		−	4.69179i		−	0.244909i	−0.992474	−	0.122455i	$-0.960923\pi$
$367$		−	4.69179i		−	0.244909i	0.992474	−	0.122455i	$-0.0390766\pi$
$368$	−1.94296	−	9.88523i	−0.101284	−	0.515303i
$369$	0.874765			0.0455385
$370$	15.4141	−	5.38255i	0.801342	−	0.279825i
$371$	2.13229	+	2.46080i	0.110703	+	0.127758i
$372$	−0.610204	−	0.949496i	−0.0316376	−	0.0492291i
$373$	7.16970	−	1.03085i	0.371233	−	0.0533752i	0.0458263	−	0.998949i	$-0.485408\pi$
$373$	7.16970	−	1.03085i	0.371233	−	0.0533752i	0.325407	+	0.945574i	$0.394499\pi$
$374$	5.91007	+	3.79817i	0.305603	+	0.196399i
$375$	−17.7122	−	5.04192i	−0.914656	−	0.260363i
$376$	−6.10818	+	7.04922i	−0.315005	+	0.363536i
$377$	−15.6373	−	2.24831i	−0.805363	−	0.115794i
$378$	8.69148	−	3.96927i	0.447042	−	0.204157i
$379$	15.6248	+	4.58785i	0.802592	+	0.235662i	0.657204	−	0.753713i	$-0.271739\pi$
$379$	15.6248	+	4.58785i	0.802592	+	0.235662i	0.145388	+	0.989375i	$0.453557\pi$
$380$	11.0382	+	2.64562i	0.566250	+	0.135718i
$381$	−2.36104	−	5.16996i	−0.120960	−	0.264865i
$382$	1.41073	+	0.202832i	0.0721792	+	0.0103778i
$383$	−20.0821	−	17.4013i	−1.02615	−	0.889163i	−0.0322519	−	0.999480i	$-0.510268\pi$
$383$	−20.0821	−	17.4013i	−1.02615	−	0.889163i	−0.993896	+	0.110317i	$0.964813\pi$
$384$	1.46427	−	3.20629i	0.0747230	−	0.163621i
$385$	7.19811	−	12.5473i	0.366850	−	0.639470i
$386$	2.28101	+	15.8648i	0.116100	+	0.807495i
$387$	1.45792	+	2.26856i	0.0741100	+	0.115317i
$388$	−7.40802	+	6.41909i	−0.376085	+	0.325880i
$389$	15.4843	−	4.54660i	0.785086	−	0.230522i	0.135467	−	0.990782i	$-0.456747\pi$
$389$	15.4843	−	4.54660i	0.785086	−	0.230522i	0.649619	+	0.760260i	$0.274928\pi$
$390$	1.25133	+	24.8272i	0.0633636	+	1.25717i
$391$	0.363175	+	7.07620i	0.0183666	+	0.357859i
$392$			14.1572i			0.715047i
$393$	4.98322	+	16.9713i	0.251370	+	0.856088i
$394$	−16.8060	−	19.3951i	−0.846673	−	0.977113i
$395$	−11.0718	+	7.93033i	−0.557083	+	0.399018i
$396$	−0.119768	−	0.833007i	−0.00601858	−	0.0418602i
$397$	4.38744	−	6.82699i	0.220199	−	0.342637i	−0.713525	−	0.700630i	$-0.752903\pi$
$397$	4.38744	−	6.82699i	0.220199	−	0.342637i	0.933724	+	0.357993i	$0.116539\pi$
$398$	1.53855	+	0.702631i	0.0771204	+	0.0352197i
$399$	12.0734	−	13.9335i	0.604427	−	0.697546i
$400$	0.441864	−	10.4940i	0.0220932	−	0.524698i
$401$	11.1440	+	24.4020i	0.556506	+	1.21858i	0.953677	+	0.300833i	$0.0972646\pi$
$401$	11.1440	+	24.4020i	0.556506	+	1.21858i	−0.397171	+	0.917744i	$0.630008\pi$
$402$	1.89373	−	6.44947i	0.0944509	−	0.321670i
$403$	−1.62784	+	5.54390i	−0.0810883	+	0.276161i
$404$	−4.40575	−	9.64724i	−0.219194	−	0.479968i
$405$	−1.66308	+	17.9395i	−0.0826391	+	0.891421i
$406$	3.08122	−	3.55591i	0.152918	−	0.176477i
$407$	−24.3454	−	11.1182i	−1.20676	−	0.551108i
$408$	−4.05015	+	6.30216i	−0.200512	+	0.312003i
$409$	5.50570	+	38.2930i	0.272239	+	1.89347i	0.424984	+	0.905201i	$0.360280\pi$
$409$	5.50570	+	38.2930i	0.272239	+	1.89347i	−0.152744	+	0.988266i	$0.548811\pi$
$410$	−4.52263	−	6.31420i	−0.223357	−	0.311836i
$411$	−7.10486	−	8.19944i	−0.350457	−	0.404449i
$412$	2.05270	+	6.99084i	0.101129	+	0.344414i
$413$		−	5.33204i		−	0.262373i
$414$	−1.12999	+	1.08540i	−0.0555357	+	0.0533446i
$415$	0.512986	+	10.1780i	0.0251815	+	0.499617i
$416$	21.4017	−	6.28412i	1.04931	−	0.308104i
$417$	−3.73118	+	3.23308i	−0.182717	+	0.158325i
$418$	18.5700	+	28.8955i	0.908288	+	1.41332i
$419$	0.00995759	+	0.0692566i	0.000486460	+	0.00338340i	0.990063	−	0.140623i	$-0.0449105\pi$
$419$	0.00995759	+	0.0692566i	0.000486460	+	0.00338340i	−0.989577	+	0.144006i	$0.954001\pi$
$420$	3.47889	+	1.99576i	0.169753	+	0.0973832i
$421$	−10.6053	+	23.2223i	−0.516869	+	1.13179i	0.453742	+	0.891133i	$0.350089\pi$
$421$	−10.6053	+	23.2223i	−0.516869	+	1.13179i	−0.970611	+	0.240653i	$0.922639\pi$
$422$	−10.6555	−	9.23303i	−0.518701	−	0.449457i
$423$	0.860297	+	0.123692i	0.0418291	+	0.00601412i
$424$	−2.68719	−	5.88412i	−0.130501	−	0.285758i
$425$	−1.35798	+	7.26127i	−0.0658718	+	0.352223i
$426$	11.8515	+	3.47992i	0.574208	+	0.168603i
$427$	−3.46925	+	1.58435i	−0.167889	+	0.0766722i
$428$	8.88513	+	1.27749i	0.429479	+	0.0617498i
$429$	26.6856	−	30.7968i	1.28839	−	1.48688i
$430$	8.83727	−	22.2522i	0.426171	−	1.07309i
$431$	−1.50664	−	0.968256i	−0.0725721	−	0.0466392i	0.503852	−	0.863790i	$-0.331916\pi$
$431$	−1.50664	−	0.968256i	−0.0725721	−	0.0466392i	−0.576424	+	0.817151i	$0.695552\pi$
$432$	−11.2571	+	1.61853i	−0.541608	+	0.0778715i
$433$	−8.11329	−	12.6245i	−0.389900	−	0.606696i	0.589708	−	0.807617i	$-0.299243\pi$
$433$	−8.11329	−	12.6245i	−0.389900	−	0.606696i	−0.979607	+	0.200921i	$0.935607\pi$
$434$	−1.12691	−	1.30053i	−0.0540935	−	0.0624273i
$435$	3.23719	+	9.27042i	0.155212	+	0.444483i
$436$	−10.3894			−0.497564
$437$	−12.7569	+	32.2081i	−0.610245	+	1.54072i
$438$			16.5797i			0.792208i
$439$	0.281430	−	0.0826353i	0.0134319	−	0.00394397i	−0.275010	−	0.961441i	$-0.588681\pi$
$439$	0.281430	−	0.0826353i	0.0134319	−	0.00394397i	0.288442	+	0.957497i	$0.406863\pi$
$440$	−20.7435	+	19.8884i	−0.988908	+	0.948144i
$441$	1.10977	−	0.713207i	0.0528462	−	0.0339622i
$442$	9.87008	−	1.41910i	0.469472	−	0.0674998i
$443$	9.40101	−	14.6283i	0.446656	−	0.695010i	−0.542797	−	0.839864i	$-0.682635\pi$
$443$	9.40101	−	14.6283i	0.446656	−	0.695010i	0.989453	+	0.144854i	$0.0462713\pi$
$444$	3.08265	−	6.75007i	0.146296	−	0.320344i
$445$	−12.0692	+	15.4347i	−0.572134	+	0.731674i
$446$	−0.905454	+	6.29757i	−0.0428745	+	0.298198i
$447$	6.84481	−	3.12592i	0.323749	−	0.147851i
$448$	−3.70568	+	12.6204i	−0.175077	+	0.596258i
$449$	−25.0112	−	7.34396i	−1.18035	−	0.346583i	−0.368042	−	0.929809i	$-0.619972\pi$
$449$	−25.0112	−	7.34396i	−1.18035	−	0.346583i	−0.812310	+	0.583226i	$0.801790\pi$
$450$	−1.41016	+	0.824562i	−0.0664754	+	0.0388702i
$451$	−1.81193	+	12.6022i	−0.0853204	+	0.593417i
$452$	0.638952	+	0.553655i	0.0300538	+	0.0260417i
$453$	16.3204	+	7.45327i	0.766798	+	0.350185i
$454$	0.303288	+	0.194911i	0.0142340	+	0.00914764i
$455$	−3.94129	−	20.1500i	−0.184771	−	0.944648i
$456$	−30.8125	+	19.8020i	−1.44293	+	0.927312i
$457$	8.34312	−	7.22935i	0.390274	−	0.338175i	−0.437518	−	0.899210i	$-0.644142\pi$
$457$	8.34312	−	7.22935i	0.390274	−	0.338175i	0.827792	+	0.561035i	$0.189597\pi$
$458$	3.81579	+	12.9954i	0.178300	+	0.607235i
$459$	7.99878			0.373351
$460$	−7.40897	−	1.37855i	−0.345445	−	0.0642754i
$461$	8.98684			0.418559			0.209279	−	0.977856i	$-0.432888\pi$
$461$	8.98684			0.418559			0.209279	+	0.977856i	$0.432888\pi$
$462$	3.41926	+	11.6449i	0.159078	+	0.541771i
$463$	23.5138	−	20.3749i	1.09278	−	0.946900i	0.0939666	−	0.995575i	$-0.470045\pi$
$463$	23.5138	−	20.3749i	1.09278	−	0.946900i	0.998815	+	0.0486750i	$0.0154999\pi$
$464$	−4.71132	+	3.02778i	−0.218717	+	0.140561i
$465$	3.52451	−	0.689386i	0.163445	−	0.0319695i
$466$	27.3376	+	17.5688i	1.26639	+	0.813861i
$467$	−19.6538	−	8.97557i	−0.909468	−	0.415340i	−0.0949522	−	0.995482i	$-0.530270\pi$
$467$	−19.6538	−	8.97557i	−0.909468	−	0.415340i	−0.814515	+	0.580142i	$0.802997\pi$
$468$	−0.902750	−	0.782237i	−0.0417296	−	0.0361589i
$469$	−0.790100	+	5.49527i	−0.0364834	+	0.253748i
$470$	−3.55500	−	6.84927i	−0.163980	−	0.315933i
$471$	17.8470	+	5.24036i	0.822348	+	0.241463i
$472$	−2.98435	+	10.1637i	−0.137366	+	0.467824i
$473$	−35.7017	+	16.3044i	−1.64157	+	0.749678i
$474$	1.62614	−	11.3100i	0.0746910	−	0.519488i
$475$	−20.7874	+	29.5354i	−0.953791	+	1.35518i
$476$	0.668326	−	1.46343i	0.0306327	−	0.0670762i
$477$	−0.325877	+	0.507075i	−0.0149209	+	0.0232173i
$478$	20.9860	−	3.01732i	0.959875	−	0.138009i
$479$	−32.8334	+	21.1007i	−1.50019	+	0.964117i	−0.505328	+	0.862928i	$0.668628\pi$
$479$	−32.8334	+	21.1007i	−1.50019	+	0.964117i	−0.994867	+	0.101189i	$0.967735\pi$
$480$	−9.59484	−	10.0073i	−0.437942	−	0.456771i
$481$	−36.4495	+	10.7025i	−1.66195	+	0.487994i
$482$			30.6463i			1.39590i
$483$	−7.53115	+	9.64948i	−0.342679	+	0.439067i
$484$	4.51852			0.205387
$485$	−10.2824	−	29.4460i	−0.466900	−	1.33707i
$486$	2.21553	+	2.55686i	0.100499	+	0.115981i
$487$	11.0187	+	17.1454i	0.499303	+	0.776930i	0.995843	−	0.0910833i	$-0.0290330\pi$
$487$	11.0187	+	17.1454i	0.499303	+	0.776930i	−0.496541	+	0.868014i	$0.665397\pi$
$488$	7.49971	−	1.07830i	0.339496	−	0.0488122i
$489$	−11.4820	−	7.37902i	−0.519233	−	0.333691i
$490$	−10.8857	−	4.32316i	−0.491764	−	0.195300i
$491$	11.2576	−	12.9920i	0.508050	−	0.586321i	−0.442548	−	0.896745i	$-0.645926\pi$
$491$	11.2576	−	12.9920i	0.508050	−	0.586321i	0.950598	+	0.310424i	$0.100471\pi$
$492$	−3.49413	−	0.502379i	−0.157527	−	0.0226490i
$493$	3.58290	−	1.63626i	0.161366	−	0.0736933i
$494$	46.7781	+	13.7353i	2.10465	+	0.617980i
$495$	2.60405	+	0.624132i	0.117043	+	0.0280526i
$496$	0.850875	+	1.86316i	0.0382054	+	0.0836582i
$497$	−10.0981	−	1.45189i	−0.452961	−	0.0651260i
$498$	−6.46182	−	5.59920i	−0.289561	−	0.250906i
$499$	4.07726	−	8.92796i	0.182523	−	0.399670i	−0.796148	−	0.605102i	$-0.793132\pi$
$499$	4.07726	−	8.92796i	0.182523	−	0.399670i	0.978672	+	0.205431i	$0.0658597\pi$
$500$	−7.17371	−	3.20463i	−0.320818	−	0.143315i
$501$	−5.71963	−	39.7809i	−0.255534	−	1.77728i
$502$	−7.43164	−	11.5639i	−0.331690	−	0.516120i
$503$	6.80028	−	5.89248i	0.303210	−	0.262733i	−0.489944	−	0.871754i	$-0.662983\pi$
$503$	6.80028	−	5.89248i	0.303210	−	0.262733i	0.793154	+	0.609021i	$0.208438\pi$
$504$	1.31282	−	0.385479i	0.0584777	−	0.0171706i
$505$	33.7033	−	1.69870i	1.49978	−	0.0755911i
$506$	−13.2962	−	18.5273i	−0.591088	−	0.823638i
$507$		−	36.4264i		−	1.61775i
$508$	−0.683157	−	2.32662i	−0.0303102	−	0.103227i
$509$	−23.1725	−	26.7425i	−1.02710	−	1.18534i	−0.982486	−	0.186334i	$-0.940339\pi$
$509$	−23.1725	−	26.7425i	−1.02710	−	1.18534i	−0.0446155	−	0.999004i	$-0.514206\pi$
$510$	−3.60903	−	5.03869i	−0.159811	−	0.223117i
$511$	−1.94884	−	13.5545i	−0.0862116	−	0.599615i
$512$	11.2670	−	17.5319i	0.497938	−	0.774806i
$513$	35.5735	+	16.2459i	1.57061	+	0.717273i
$514$	5.02405	−	5.79807i	0.221602	−	0.255742i
$515$	−23.0842	−	2.14002i	−1.01721	−	0.0943005i
$516$	−4.52060	−	9.89873i	−0.199008	−	0.435767i
$517$	−3.56392	+	12.1376i	−0.156741	+	0.533811i
$518$	3.18753	−	10.8557i	0.140052	−	0.476974i
$519$	7.34971	+	16.0936i	0.322617	+	0.706432i
$520$	−3.76523	+	40.6152i	−0.165116	+	1.78109i
$521$	1.01673	−	1.17337i	0.0445439	−	0.0514064i	−0.733040	−	0.680185i	$-0.761899\pi$
$521$	1.01673	−	1.17337i	0.0445439	−	0.0514064i	0.777584	+	0.628779i	$0.216445\pi$
$522$	0.792293	+	0.361828i	0.0346777	+	0.0158368i
$523$	9.50603	−	14.7917i	0.415670	−	0.646794i	−0.568774	−	0.822494i	$-0.692582\pi$
$523$	9.50603	−	14.7917i	0.415670	−	0.646794i	0.984444	+	0.175699i	$0.0562186\pi$
$524$	1.07395	+	7.46950i	0.0469158	+	0.326307i
$525$	−9.98765	+	7.94396i	−0.435897	+	0.346703i
$526$	−12.7167	−	14.6759i	−0.554474	−	0.639898i
$527$	−0.405858	−	1.38223i	−0.0176795	−	0.0602107i
$528$		−	14.4457i		−	0.628667i
$529$	7.36245	−	21.7898i	0.320107	−	0.947382i
$530$	5.34496	−	0.269395i	0.232170	−	0.0117018i
$531$	0.947071	−	0.278085i	0.0410994	−	0.0120679i
$532$	5.94458	−	5.15101i	0.257730	−	0.223324i
$533$	9.77007	+	15.2025i	0.423189	+	0.658495i
$534$	−2.33949	−	16.2715i	−0.101240	−	0.704136i
$535$	−14.2128	+	24.7750i	−0.614475	+	1.07112i
$536$	4.58176	−	10.0327i	0.197902	−	0.433345i
$537$	−11.4338	−	9.90746i	−0.493406	−	0.427538i
$538$	15.2009	+	2.18557i	0.655359	+	0.0942264i
$539$	7.97606	+	17.4651i	0.343553	+	0.752276i
$540$	−1.98289	+	8.27317i	−0.0853302	+	0.356020i
$541$	−33.3293	−	9.78638i	−1.43294	−	0.420749i	−0.529078	−	0.848573i	$-0.677462\pi$
$541$	−33.3293	−	9.78638i	−1.43294	−	0.420749i	−0.903862	+	0.427824i	$0.859280\pi$
$542$	−19.0340	+	8.69254i	−0.817580	+	0.373376i
$543$	31.3842	+	4.51237i	1.34683	+	0.193644i
$544$	−3.64183	+	4.20290i	−0.156142	+	0.180198i
$545$	12.2017	−	30.7238i	0.522664	−	1.31606i
$546$	14.4917	+	9.31326i	0.620188	+	0.398571i
$547$	−27.7339	+	3.98753i	−1.18582	+	0.170495i	−0.706866	−	0.707347i	$-0.749892\pi$
$547$	−27.7339	+	3.98753i	−1.18582	+	0.170495i	−0.478950	+	0.877842i	$0.658983\pi$
$548$	−2.50252	−	3.89399i	−0.106902	−	0.166343i
$549$	−0.462344	−	0.533574i	−0.0197324	−	0.0227724i
$550$	−8.95810	−	22.0232i	−0.381975	−	0.939074i
$551$	19.2578			0.820409
$552$	19.7564	−	14.1783i	0.840890	−	0.603469i
$553$			9.43751i			0.401324i
$554$	24.1018	−	7.07694i	1.02399	−	0.300670i
$555$	16.3411	+	17.0436i	0.693639	+	0.723461i
$556$	−1.77197	+	1.13878i	−0.0751484	+	0.0482949i
$557$	0.482297	−	0.0693439i	0.0204356	−	0.00293820i	−0.132089	−	0.991238i	$-0.542169\pi$
$557$	0.482297	−	0.0693439i	0.0204356	−	0.00293820i	0.152525	+	0.988300i	$0.451260\pi$
$558$	0.172225	−	0.267988i	0.00729088	−	0.0113448i
$559$	−23.1421	+	50.6742i	−0.978808	+	2.14329i
$560$	−5.73363	−	4.48343i	−0.242290	−	0.189460i
$561$	−1.44591	+	10.0565i	−0.0610463	+	0.424587i
$562$	3.47594	−	1.58741i	0.146624	−	0.0669608i
$563$	11.0071	−	37.4866i	0.463892	−	1.57987i	−0.312689	−	0.949856i	$-0.601230\pi$
$563$	11.0071	−	37.4866i	0.463892	−	1.57987i	0.776581	−	0.630017i	$-0.216952\pi$
$564$	−3.36530	−	0.988141i	−0.141705	−	0.0416082i
$565$	−2.38769	+	1.23929i	−0.100451	+	0.0521373i
$566$	−1.52011	+	10.5726i	−0.0638952	+	0.444401i
$567$	9.43541	+	8.17583i	0.396250	+	0.343353i
$568$	18.4360	+	8.41943i	0.773557	+	0.353272i
$569$	29.2483	+	18.7968i	1.22615	+	0.788001i	0.983288	−	0.182059i	$-0.0582761\pi$
$569$	29.2483	+	18.7968i	1.22615	+	0.788001i	0.242866	+	0.970060i	$0.421912\pi$
$570$	−5.81687	−	29.7390i	−0.243642	−	1.24563i
$571$	23.1655	−	14.8876i	0.969448	−	0.623026i	0.0428504	−	0.999082i	$-0.486356\pi$
$571$	23.1655	−	14.8876i	0.969448	−	0.623026i	0.926597	+	0.376055i	$0.122720\pi$
$572$	13.1391	−	11.3851i	0.549375	−	0.476036i
$573$	0.580696	+	1.97767i	0.0242589	+	0.0826183i
$574$	−5.38216			−0.224647
$575$	12.7780	−	20.2909i	0.532881	−	0.846190i
$576$	−2.43488			−0.101454
$577$	−9.50169	−	32.3598i	−0.395561	−	1.34716i	−0.881096	−	0.472938i	$-0.843193\pi$
$577$	−9.50169	−	32.3598i	−0.395561	−	1.34716i	0.485535	−	0.874217i	$-0.338625\pi$
$578$	12.7543	−	11.0517i	0.530508	−	0.459688i
$579$	−19.4997	+	12.5317i	−0.810381	+	0.520800i
$580$	0.804185	+	4.11143i	0.0333920	+	0.170718i
$581$	5.94092	+	3.81800i	0.246471	+	0.158397i
$582$	23.8035	+	10.8707i	0.986686	+	0.450605i
$583$	−6.63014	−	5.74504i	−0.274592	−	0.237935i
$584$	−3.87164	+	26.9278i	−0.160209	+	1.11428i
$585$	3.37347	−	1.75094i	0.139476	−	0.0723926i
$586$	4.44549	+	1.30532i	0.183642	+	0.0539221i
$587$	2.08113	−	7.08767i	0.0858974	−	0.292540i	−0.905330	−	0.424709i	$-0.860376\pi$
$587$	2.08113	−	7.08767i	0.0858974	−	0.292540i	0.991227	+	0.132170i	$0.0421944\pi$
$588$	−4.84242	+	2.21146i	−0.199698	+	0.0911990i
$589$	1.00236	−	6.97158i	0.0413016	−	0.287259i
$590$	−6.90372	−	5.39838i	−0.284222	−	0.222248i
$591$	15.4178	−	33.7603i	0.634203	−	1.38871i
$592$	−7.28062	+	11.3289i	−0.299232	+	0.465614i
$593$	−25.6470	+	3.68749i	−1.05320	+	0.151427i	−0.647102	−	0.762404i	$-0.724019\pi$
$593$	−25.6470	+	3.68749i	−1.05320	+	0.151427i	−0.406095	+	0.913831i	$0.633110\pi$
$594$	−21.6572	+	13.9182i	−0.888605	+	0.571071i
$595$	3.54278	+	3.69509i	0.145240	+	0.151484i
$596$	3.08035	−	0.904471i	0.126176	−	0.0370486i
$597$			2.44608i			0.100111i
$598$	−31.4838	−	7.51535i	−1.28747	−	0.307326i
$599$	−39.7801			−1.62537			−0.812686	−	0.582702i	$-0.801996\pi$
$599$	−39.7801			−1.62537			−0.812686	+	0.582702i	$0.801996\pi$
$600$	23.4843	−	9.55240i	0.958744	−	0.389975i
$601$	−19.8051	−	22.8563i	−0.807865	−	0.932326i	0.190920	−	0.981606i	$-0.438853\pi$
$601$	−19.8051	−	22.8563i	−0.807865	−	0.932326i	−0.998785	+	0.0492793i	$0.984308\pi$
$602$	−8.97011	−	13.9578i	−0.365594	−	0.568876i
$603$	−1.01727	+	0.146261i	−0.0414264	+	0.00595622i
$604$	6.43952	+	4.13843i	0.262020	+	0.168390i
$605$	−5.30671	+	13.3622i	−0.215748	+	0.543253i
$606$	−18.5411	+	21.3976i	−0.753183	+	0.869219i
$607$	19.0572	+	2.74002i	0.773509	+	0.111214i	0.517756	−	0.855528i	$-0.326767\pi$
$607$	19.0572	+	2.74002i	0.773509	+	0.111214i	0.255753	+	0.966742i	$0.417677\pi$
$608$	−24.7328	+	11.2951i	−1.00305	+	0.458077i
$609$	6.52890	+	1.91706i	0.264564	+	0.0776831i
$610$	−1.46105	+	6.09591i	−0.0591563	+	0.246816i
$611$	7.45884	+	16.3326i	0.301752	+	0.660746i
$612$	0.294788	+	0.0423841i	0.0119161	+	0.00171328i
$613$	16.5332	+	14.3261i	0.667770	+	0.578626i	0.921372	−	0.388683i	$-0.127070\pi$
$613$	16.5332	+	14.3261i	0.667770	+	0.578626i	−0.253602	+	0.967309i	$0.581615\pi$
$614$	−8.18713	+	17.9273i	−0.330406	+	0.723488i
$615$	5.58927	−	9.74289i	0.225381	−	0.392871i
$616$	2.83409	+	19.7115i	0.114189	+	0.794200i
$617$	2.80436	+	4.36367i	0.112899	+	0.175675i	0.893105	−	0.449848i	$-0.148522\pi$
$617$	2.80436	+	4.36367i	0.112899	+	0.175675i	−0.780206	+	0.625523i	$0.784886\pi$
$618$	14.7000	−	12.7376i	0.591319	−	0.512381i
$619$	42.6842	−	12.5332i	1.71562	−	0.503752i	0.731590	−	0.681745i	$-0.238779\pi$
$619$	42.6842	−	12.5332i	1.71562	−	0.503752i	0.984032	+	0.177993i	$0.0569603\pi$
$620$	1.53025	−	0.0771272i	0.0614564	−	0.00309750i
$621$	−24.1400	−	9.56130i	−0.968704	−	0.383682i
$622$		−	7.12078i		−	0.285517i
$623$	3.82523	+	13.0275i	0.153255	+	0.521937i
$624$	−13.4272	−	15.4958i	−0.537517	−	0.620327i
$625$	17.9019	−	17.4506i	0.716074	−	0.698024i
$626$	2.47120	+	17.1876i	0.0987691	+	0.686954i
$627$	−26.8557	+	41.7883i	−1.07251	+	1.66886i
$628$	7.21858	+	3.29662i	0.288053	+	0.131549i
$629$	6.20243	−	7.15799i	0.247307	−	0.285408i
$630$	−0.104493	+	1.12716i	−0.00416310	+	0.0449071i
$631$	−0.390162	−	0.854336i	−0.0155321	−	0.0340106i	0.901707	−	0.432348i	$-0.142315\pi$
$631$	−0.390162	−	0.854336i	−0.0155321	−	0.0340106i	−0.917239	+	0.398337i	$0.869587\pi$
$632$	5.28217	−	17.9894i	0.210114	−	0.715581i
$633$	5.74457	−	19.5642i	0.228326	−	0.777607i
$634$	−8.27972	−	18.1301i	−0.328830	−	0.720036i
$635$	7.68265	+	0.712219i	0.304877	+	0.0282636i
$636$	1.59288	−	1.83829i	0.0631619	−	0.0728928i
$637$	24.7896	+	11.3210i	0.982200	+	0.448556i
$638$	−6.85376	+	10.6647i	−0.271343	+	0.422218i
$639$	−0.268769	−	1.86933i	−0.0106323	−	0.0739496i
$640$	2.78634	+	3.89010i	0.110140	+	0.153770i
$641$	−0.287210	−	0.331458i	−0.0113441	−	0.0130918i	0.750049	−	0.661382i	$-0.230030\pi$
$641$	−0.287210	−	0.331458i	−0.0113441	−	0.0130918i	−0.761393	+	0.648290i	$0.775484\pi$
$642$	−6.75141	−	22.9932i	−0.266457	−	0.907469i
$643$			30.1871i			1.19046i	0.803554	+	0.595232i	$0.202940\pi$
$643$			30.1871i			1.19046i	−0.803554	+	0.595232i	$0.797060\pi$
$644$	−3.76628	+	3.61768i	−0.148412	+	0.142557i
$645$	34.5819	−	1.74298i	1.36166	−	0.0686299i
$646$	−11.6629	+	3.42453i	−0.458870	+	0.134736i
$647$	−18.3366	+	15.8888i	−0.720886	+	0.624651i	−0.936026	−	0.351932i	$-0.885525\pi$
$647$	−18.3366	+	15.8888i	−0.720886	+	0.624651i	0.215139	+	0.976583i	$0.430979\pi$
$648$	−13.4094	−	20.8655i	−0.526772	−	0.819673i
$649$	2.04452	+	14.2199i	0.0802543	+	0.558181i
$650$	−30.0798	−	15.2977i	−1.17983	−	0.600025i
$651$	1.03383	−	2.26377i	0.0405189	−	0.0887241i
$652$	−4.40078	−	3.81330i	−0.172348	−	0.149340i
$653$	−8.85705	−	1.27345i	−0.346603	−	0.0498340i	−0.0331850	−	0.999449i	$-0.510565\pi$
$653$	−8.85705	−	1.27345i	−0.346603	−	0.0498340i	−0.313418	+	0.949615i	$0.601474\pi$
$654$	11.5219	+	25.2295i	0.450542	+	0.986550i
$655$	−23.3503	−	5.59654i	−0.912370	−	0.218675i
$656$	6.14668	+	1.80483i	0.239988	+	0.0704667i
$657$	2.30589	−	1.05307i	0.0899614	−	0.0410840i
$658$	−5.29314	−	0.761039i	−0.206348	−	0.0296684i
$659$	10.3891	−	11.9896i	0.404700	−	0.467049i	−0.516415	−	0.856338i	$-0.672734\pi$
$659$	10.3891	−	11.9896i	0.404700	−	0.467049i	0.921115	+	0.389289i	$0.127279\pi$
$660$	−10.0430	−	3.98851i	−0.390925	−	0.155253i
$661$	11.6197	+	7.46752i	0.451954	+	0.290453i	0.746747	−	0.665108i	$-0.231615\pi$
$661$	11.6197	+	7.46752i	0.451954	+	0.290453i	−0.294794	+	0.955561i	$0.595251\pi$
$662$	29.6419	−	4.26186i	1.15206	−	0.165642i
$663$	7.79646	+	12.1315i	0.302790	+	0.471150i
$664$	−9.18743	−	10.6029i	−0.356541	−	0.411471i
$665$	8.25114	+	23.6290i	0.319965	+	0.916292i
$666$	2.09442			0.0811573
$667$	−12.7689	+	0.655346i	−0.494415	+	0.0253751i
$668$		−	17.1467i		−	0.663424i
$669$	−8.82842	+	2.59226i	−0.341326	+	0.100222i
$670$	6.31512	+	6.58663i	0.243974	+	0.254464i
$671$	8.64456	−	5.55552i	0.333720	−	0.214469i
$672$	−9.50948	+	1.36726i	−0.366836	+	0.0527431i
$673$	−4.39775	+	6.84303i	−0.169521	+	0.263779i	−0.915611	−	0.402065i	$-0.868292\pi$
$673$	−4.39775	+	6.84303i	−0.169521	+	0.263779i	0.746090	+	0.665845i	$0.231929\pi$
$674$	2.34969	−	5.14510i	0.0905066	−	0.198182i
$675$	−22.1368	−	15.5802i	−0.852046	−	0.599681i
$676$	2.21171	−	15.3828i	0.0850659	−	0.591646i
$677$	−23.5751	+	10.7664i	−0.906063	+	0.413785i	−0.813261	−	0.581899i	$-0.802310\pi$
$677$	−23.5751	+	10.7664i	−0.906063	+	0.413785i	−0.0928023	+	0.995685i	$0.529582\pi$
$678$	0.635884	−	2.16562i	0.0244210	−	0.0831702i
$679$	−20.7380	−	6.08922i	−0.795851	−	0.233683i
$680$	−4.68497	−	9.02634i	−0.179660	−	0.346144i
$681$	−0.0741999	+	0.516072i	−0.00284335	+	0.0197759i
$682$	3.50401	+	3.03625i	0.134176	+	0.116264i
$683$	36.8417	+	16.8250i	1.40971	+	0.643792i	0.967442	−	0.253091i	$-0.0814473\pi$
$683$	36.8417	+	16.8250i	1.40971	+	0.643792i	0.442266	+	0.896884i	$0.354175\pi$
$684$	1.22495	+	0.787225i	0.0468370	+	0.0301003i
$685$	14.4544	−	2.82725i	0.552276	−	0.108024i
$686$	−17.2210	+	11.0672i	−0.657500	+	0.422550i
$687$	−14.8030	+	12.8269i	−0.564771	+	0.489377i
$688$	5.56376	+	18.9484i	0.212116	+	0.722402i
$689$	−12.4521			−0.474387
$690$	4.86892	+	19.5206i	0.185356	+	0.743136i
$691$	25.6167			0.974504			0.487252	−	0.873261i	$-0.337999\pi$
$691$	25.6167			0.974504			0.487252	+	0.873261i	$0.337999\pi$
$692$	2.12661	+	7.24256i	0.0808414	+	0.275321i
$693$	1.40239	−	1.21518i	0.0532725	−	0.0461609i
$694$	12.6265	−	8.11456i	0.479296	−	0.308025i
$695$	−1.28655	−	6.57753i	−0.0488015	−	0.249500i
$696$	−11.3722	−	7.30845i	−0.431061	−	0.277026i
$697$	−4.09844	−	1.87169i	−0.155239	−	0.0708954i
$698$	1.58001	+	1.36909i	0.0598044	+	0.0518208i
$699$	−6.68820	+	46.5175i	−0.252971	+	1.75945i
$700$	−4.70010	+	2.74829i	−0.177647	+	0.103876i
$701$	−17.6347	−	5.17801i	−0.666053	−	0.195571i	−0.0688083	−	0.997630i	$-0.521920\pi$
$701$	−17.6347	−	5.17801i	−0.666053	−	0.195571i	−0.597245	+	0.802059i	$0.703738\pi$
$702$	−10.2946	+	35.0602i	−0.388545	+	1.32326i
$703$	42.1227	−	19.2368i	1.58869	−	0.725529i
$704$	5.04346	−	35.0780i	0.190082	−	1.32205i
$705$	6.87448	−	8.79142i	0.258908	−	0.331104i
$706$	15.1125	−	33.0918i	0.568767	−	1.24543i
$707$	12.6429	−	19.6727i	0.475485	−	0.739869i
$708$	−3.94265	+	0.566867i	−0.148174	+	0.0213042i
$709$	28.3837	−	18.2411i	1.06597	−	0.685058i	0.114696	−	0.993401i	$-0.463411\pi$
$709$	28.3837	−	18.2411i	1.06597	−	0.685058i	0.951275	+	0.308342i	$0.0997742\pi$
$710$	−12.1036	+	11.6047i	−0.454239	+	0.435515i
$711$	−1.67628	+	0.492200i	−0.0628654	+	0.0184589i
$712$		−	26.9736i		−	1.01088i
$713$	−0.427374	+	4.65663i	−0.0160053	+	0.174392i
$714$	−4.29493			−0.160734
$715$	18.2373	+	52.2265i	0.682035	+	1.95316i
$716$	−4.22692	−	4.87813i	−0.157967	−	0.182304i
$717$	16.5770	+	25.7943i	0.619079	+	0.963306i
$718$	−24.6146	+	3.53904i	−0.918608	+	0.132076i
$719$	−11.6164	−	7.46538i	−0.433217	−	0.278412i	0.305803	−	0.952095i	$-0.401075\pi$
$719$	−11.6164	−	7.46538i	−0.433217	−	0.278412i	−0.739020	+	0.673683i	$0.764711\pi$
$720$	0.497312	−	1.25223i	0.0185337	−	0.0466678i
$721$	−10.5205	+	12.1413i	−0.391804	+	0.452166i
$722$	−37.4043	−	5.37793i	−1.39205	−	0.200146i
$723$	−40.3153	+	18.4114i	−1.49934	+	0.684726i
$724$	12.9795	+	3.81113i	0.482380	+	0.141639i
$725$	−13.1029	−	2.45046i	−0.486628	−	0.0910078i
$726$	−5.01105	−	10.9727i	−0.185977	−	0.407234i
$727$	0.551840	+	0.0793427i	0.0204666	+	0.00294266i	0.152541	−	0.988297i	$-0.451255\pi$
$727$	0.551840	+	0.0793427i	0.0204666	+	0.00294266i	−0.132074	+	0.991240i	$0.542164\pi$
$728$	21.3619	+	18.5102i	0.791723	+	0.686032i
$729$	−12.0738	+	26.4378i	−0.447176	+	0.979179i
$730$	−19.5229	−	11.1998i	−0.722575	−	0.414525i
$731$	−1.97667	−	13.7481i	−0.0731099	−	0.508490i
$732$	1.54034	+	2.39681i	0.0569325	+	0.0885886i
$733$	−19.9053	+	17.2480i	−0.735218	+	0.637070i	−0.939779	−	0.341784i	$-0.888969\pi$
$733$	−19.9053	+	17.2480i	−0.735218	+	0.637070i	0.204560	+	0.978854i	$0.434424\pi$
$734$	−5.12735	+	1.50552i	−0.189254	+	0.0555699i
$735$	−0.852660	−	16.9173i	−0.0314508	−	0.624005i
$736$	16.0148	−	8.33091i	0.590313	−	0.307081i
$737$		−	14.9582i		−	0.550991i
$738$	−0.280699	−	0.955973i	−0.0103327	−	0.0351899i
$739$	−17.1655	−	19.8101i	−0.631444	−	0.728725i	0.346394	−	0.938089i	$-0.387406\pi$
$739$	−17.1655	−	19.8101i	−0.631444	−	0.728725i	−0.977838	+	0.209364i	$0.932861\pi$
$740$	5.86595	+	8.18966i	0.215637	+	0.301058i
$741$	10.0340	+	69.7883i	0.368610	+	2.56374i
$742$	2.00502	−	3.11987i	0.0736066	−	0.114534i
$743$	−37.2688	−	17.0201i	−1.36726	−	0.624407i	−0.409589	−	0.912270i	$-0.634328\pi$
$743$	−37.2688	−	17.0201i	−1.36726	−	0.624407i	−0.957672	+	0.287863i	$0.907055\pi$
$744$	−3.23768	+	3.73648i	−0.118699	+	0.136986i
$745$	−0.942948	+	10.1715i	−0.0345470	+	0.372655i
$746$	−3.42719	−	7.50450i	−0.125478	−	0.274759i
$747$	−0.368308	+	1.25434i	−0.0134757	+	0.0458939i
$748$	−1.22121	+	4.15905i	−0.0446518	+	0.152070i
$749$	8.22223	+	18.0042i	0.300434	+	0.657858i
$750$	0.173615	+	20.9744i	0.00633954	+	0.765877i
$751$	−7.01809	+	8.09931i	−0.256094	+	0.295548i	−0.869208	−	0.494446i	$-0.835371\pi$
$751$	−7.01809	+	8.09931i	−0.256094	+	0.295548i	0.613115	+	0.789994i	$0.289916\pi$
$752$	5.78982	+	2.64412i	0.211133	+	0.0964212i
$753$	10.7476	−	16.7235i	0.391663	−	0.609439i
$754$	2.56075	+	17.8104i	0.0932572	+	0.648618i
$755$	−19.8010	+	14.1828i	−0.720634	+	0.516163i
$756$	3.86068	+	4.45546i	0.140412	+	0.162044i
$757$	8.45047	+	28.7797i	0.307138	+	1.04601i	0.957988	+	0.286808i	$0.0925943\pi$
$757$	8.45047	+	28.7797i	0.307138	+	1.04601i	−0.650850	+	0.759206i	$0.725587\pi$
$758$		−	18.5475i		−	0.673675i
$759$	16.3847	−	28.6218i	0.594727	−	1.03890i
$760$	−2.50288	−	49.6588i	−0.0907891	−	1.80131i
$761$	5.62283	−	1.65101i	0.203827	−	0.0598491i	−0.178225	−	0.983990i	$-0.557036\pi$
$761$	5.62283	−	1.65101i	0.203827	−	0.0598491i	0.382052	+	0.924141i	$0.375217\pi$
$762$	−4.89229	+	4.23919i	−0.177229	+	0.153570i
$763$	−12.3851	−	19.2716i	−0.448372	−	0.697680i
$764$	0.125148	+	0.870423i	0.00452770	+	0.0314908i
$765$	−0.471549	+	0.821976i	−0.0170489	+	0.0297186i
$766$	−12.5726	+	27.5302i	−0.454268	+	0.994707i
$767$	15.4105	+	13.3533i	0.556440	+	0.482158i
$768$	23.7056	+	3.40834i	0.855401	+	0.122988i
$769$	−5.99078	−	13.1180i	−0.216033	−	0.473047i	0.770327	−	0.637649i	$-0.220093\pi$
$769$	−5.99078	−	13.1180i	−0.216033	−	0.473047i	−0.986360	+	0.164603i	$0.947366\pi$
$770$	−16.0219	−	3.84009i	−0.577389	−	0.138387i
$771$	10.6457	+	3.12584i	0.383394	+	0.112575i
$772$	−8.99558	+	4.10815i	−0.323758	+	0.147855i
$773$	−25.9394	−	3.72952i	−0.932976	−	0.134142i	−0.340969	−	0.940075i	$-0.610755\pi$
$773$	−25.9394	−	3.72952i	−0.932976	−	0.134142i	−0.592007	+	0.805933i	$0.701664\pi$
$774$	2.01134	−	2.32121i	0.0722960	−	0.0834341i
$775$	−1.56910	+	4.61587i	−0.0563638	+	0.165807i
$776$	36.1218	+	23.2141i	1.29670	+	0.833338i
$777$	16.1957	−	2.32859i	0.581017	−	0.0835376i
$778$	−9.93736	−	15.4628i	−0.356272	−	0.554370i
$779$	−14.4258	−	16.6482i	−0.516856	−	0.596484i
$780$	−14.4804	+	5.05650i	−0.518482	+	0.181052i
$781$	27.4871			0.983566
$782$	7.61657	−	2.66754i	0.272368	−	0.0953909i
$783$			14.4337i			0.515819i
$784$	9.26949	−	2.72177i	0.331053	−	0.0972060i
$785$	−18.2266	+	17.4753i	−0.650534	+	0.623719i
$786$	16.9478	−	10.8917i	0.604506	−	0.388493i
$787$	24.7357	−	3.55646i	0.881734	−	0.126774i	0.313448	−	0.949605i	$-0.398516\pi$
$787$	24.7357	−	3.55646i	0.881734	−	0.126774i	0.568286	+	0.822831i	$0.307607\pi$
$788$	8.56073	−	13.3208i	0.304963	−	0.474532i
$789$	11.6663	−	25.5456i	0.415331	−	0.909448i
$790$	12.2193	+	9.55493i	0.434744	+	0.339949i
$791$	−0.265302	+	1.84522i	−0.00943306	+	0.0656084i
$792$	−3.35333	+	1.53141i	−0.119155	+	0.0544164i
$793$	4.10914	−	13.9944i	0.145920	−	0.496957i
$794$	−8.86862	−	2.60406i	−0.314736	−	0.0924147i
$795$	3.56548	+	6.86946i	0.126454	+	0.243634i
$796$	−0.148519	+	1.03297i	−0.00526412	+	0.0366128i
$797$	−20.2629	−	17.5579i	−0.717747	−	0.621932i	0.217445	−	0.976073i	$-0.430228\pi$
$797$	−20.2629	−	17.5579i	−0.717747	−	0.621932i	−0.935192	+	0.354141i	$0.884773\pi$
$798$	−19.1011	−	8.72320i	−0.676173	−	0.308798i
$799$	−3.76599	−	2.42026i	−0.133231	−	0.0856226i
$800$	18.2653	−	4.53798i	0.645776	−	0.160442i
$801$	−2.11443	+	1.35886i	−0.0747099	+	0.0480131i
$802$	23.0914	−	20.0088i	0.815385	−	0.706535i
$803$	10.3946	+	35.4009i	0.366819	+	1.24927i
$804$	4.14733			0.146265
$805$	−6.27504	−	15.3865i	−0.221166	−	0.542301i
$806$	6.58091			0.231803
$807$	6.25714	+	21.3099i	0.220262	+	0.750143i
$808$	−35.1102	+	30.4232i	−1.23517	+	1.07028i
$809$	−6.24527	+	4.01359i	−0.219572	+	0.141110i	−0.645803	−	0.763504i	$-0.723477\pi$
$809$	−6.24527	+	4.01359i	−0.219572	+	0.141110i	0.426231	+	0.904614i	$0.359841\pi$
$810$	20.1385	−	3.93904i	0.707596	−	0.138404i
$811$	−0.537875	−	0.345671i	−0.0188874	−	0.0121382i	0.531163	−	0.847270i	$-0.321755\pi$
$811$	−0.537875	−	0.345671i	−0.0188874	−	0.0121382i	−0.550050	+	0.835131i	$0.685392\pi$
$812$	2.64074	+	1.20599i	0.0926719	+	0.0423218i
$813$	−22.8701	−	19.8170i	−0.802088	−	0.695013i
$814$	−4.33825	+	30.1732i	−0.152055	+	1.05757i
$815$	16.4452	−	8.53560i	0.576050	−	0.298989i
$816$	4.90502	+	1.44024i	0.171710	+	0.0504186i
$817$	19.1319	−	65.1574i	0.669342	−	2.27957i
$818$	40.0812	−	18.3045i	1.40141	−	0.640000i
$819$	0.374835	−	2.60703i	0.0130978	−	0.0910971i
$820$	2.95190	−	3.77503i	0.103085	−	0.131830i
$821$	−9.25485	+	20.2653i	−0.322997	+	0.707264i	−0.999576	−	0.0291056i	$-0.990734\pi$
$821$	−9.25485	+	20.2653i	−0.322997	+	0.707264i	0.676580	+	0.736369i	$0.263461\pi$
$822$	−6.68078	+	10.3955i	−0.233019	+	0.362585i
$823$	−49.7661	+	7.15529i	−1.73474	+	0.249418i	−0.935934	−	0.352175i	$-0.885442\pi$
$823$	−49.7661	+	7.15529i	−1.73474	+	0.249418i	−0.798803	+	0.601593i	$0.794533\pi$
$824$	26.8493	−	17.2550i	0.935340	−	0.601106i
$825$	23.5898	−	25.0153i	0.821293	−	0.870919i
$826$	−5.82704	+	1.71097i	−0.202749	+	0.0595323i
$827$		−	4.49737i		−	0.156389i	−0.996938	−	0.0781944i	$-0.975085\pi$
$827$		−	4.49737i		−	0.156389i	0.996938	−	0.0781944i	$-0.0249155\pi$
$828$	−0.838994	−	0.480287i	−0.0291571	−	0.0166911i
$829$	−30.5110			−1.05969			−0.529845	−	0.848094i	$-0.677750\pi$
$829$	−30.5110			−1.05969			−0.529845	+	0.848094i	$0.677750\pi$
$830$	10.9582	−	3.82657i	0.380365	−	0.132822i
$831$	23.7893	+	27.4544i	0.825243	+	0.952381i
$832$	−27.1947	−	42.3158i	−0.942808	−	1.46704i
$833$	−6.72550	+	0.966980i	−0.233025	+	0.0335039i
$834$	4.73050	+	3.04011i	0.163804	+	0.105270i
$835$	50.7065	+	20.1377i	1.75477	+	0.696892i
$836$	−13.8784	+	16.0165i	−0.479994	+	0.553942i
$837$	5.22520	+	0.751270i	0.180609	+	0.0259677i
$838$	0.0724907	−	0.0331054i	0.00250415	−	0.00114361i
$839$	38.0401	+	11.1696i	1.31329	+	0.385616i	0.862066	−	0.506795i	$-0.169170\pi$
$839$	38.0401	+	11.1696i	1.31329	+	0.385616i	0.451222	+	0.892412i	$0.350988\pi$
$840$	4.09485	−	17.0848i	0.141286	−	0.589482i
$841$	−9.09443	−	19.9140i	−0.313601	−	0.686691i
$842$	28.7812	+	4.13811i	0.991865	+	0.142609i
$843$	4.17647	+	3.61893i	0.143845	+	0.124643i
$844$	3.61380	−	7.91313i	0.124392	−	0.272381i
$845$	42.8928	+	24.6066i	1.47556	+	0.846494i
$846$	−0.140882	−	0.979853i	−0.00484361	−	0.0336880i
$847$	5.38648	+	8.38152i	0.185082	+	0.287993i
$848$	−3.33603	+	2.89069i	−0.114560	+	0.0992667i
$849$	−14.8215	+	4.35199i	−0.508674	+	0.149360i
$850$	8.37111	−	0.845984i	0.287127	−	0.0290170i
$851$	−27.2749	+	14.1884i	−0.934973	+	0.486374i
$852$			7.62113i			0.261096i
$853$	−13.5811	−	46.2530i	−0.465008	−	1.58367i	−0.774373	−	0.632729i	$-0.781935\pi$
$853$	−13.5811	−	46.2530i	−0.465008	−	1.58367i	0.309365	−	0.950943i	$-0.399883\pi$
$854$	2.84466	+	3.28291i	0.0973423	+	0.112339i
$855$	−3.76662	+	2.69789i	−0.128816	+	0.0922660i
$856$	−5.59598	−	38.9209i	−0.191266	−	1.33029i
$857$	−2.69716	+	4.19686i	−0.0921332	+	0.143362i	−0.884261	−	0.466994i	$-0.845337\pi$
$857$	−2.69716	+	4.19686i	−0.0921332	+	0.143362i	0.792128	+	0.610356i	$0.208973\pi$
$858$	−42.2187	−	19.2807i	−1.44132	−	0.658231i
$859$	17.9322	−	20.6949i	0.611840	−	0.706101i	−0.362296	−	0.932063i	$-0.618007\pi$
$859$	17.9322	−	20.6949i	0.611840	−	0.706101i	0.974136	+	0.225962i	$0.0725525\pi$
$860$	14.7097	+	1.36366i	0.501596	+	0.0465004i
$861$	−3.23343	−	7.08023i	−0.110195	−	0.241294i
$862$	−0.574686	+	1.95720i	−0.0195739	+	0.0666625i
$863$	−6.06681	+	20.6616i	−0.206516	+	0.703331i	0.789467	+	0.613793i	$0.210357\pi$
$863$	−6.06681	+	20.6616i	−0.206516	+	0.703331i	−0.995983	+	0.0895375i	$0.971461\pi$
$864$	−8.46568	−	18.5373i	−0.288008	−	0.630650i
$865$	−23.9154	−	2.21707i	−0.813148	−	0.0753828i
$866$	−11.1931	+	12.9175i	−0.380356	+	0.438954i
$867$	22.2008	+	10.1388i	0.753979	+	0.344331i
$868$	0.574033	−	0.893213i	0.0194840	−	0.0303176i
$869$	−3.61871	−	25.1687i	−0.122756	−	0.853790i
$870$	9.09226	−	6.51245i	0.308257	−	0.220793i
$871$	−13.9035	−	16.0455i	−0.471103	−	0.543682i
$872$	12.8218	+	43.6669i	0.434199	+	1.47875i
$873$		−	4.00103i		−	0.135414i
$874$	39.2916	+	3.60608i	1.32906	+	0.121978i
$875$	−2.60735	−	17.1269i	−0.0881445	−	0.578995i
$876$	−9.81533	+	2.88204i	−0.331629	+	0.0973751i
$877$	−2.43267	+	2.10792i	−0.0821454	+	0.0711794i	−0.694966	−	0.719043i	$-0.744580\pi$
$877$	−2.43267	+	2.10792i	−0.0821454	+	0.0711794i	0.612820	+	0.790222i	$0.290035\pi$
$878$	−0.180613	−	0.281040i	−0.00609540	−	0.00948463i
$879$	0.953572	+	6.63224i	0.0321632	+	0.223700i
$880$	17.0100	+	9.75827i	0.573408	+	0.328951i
$881$	19.5428	−	42.7927i	0.658413	−	1.44172i	−0.225581	−	0.974224i	$-0.572428\pi$
$881$	19.5428	−	42.7927i	0.658413	−	1.44172i	0.883994	−	0.467499i	$-0.154845\pi$
$882$	−1.13552	−	0.983938i	−0.0382351	−	0.0331309i
$883$	−6.99127	−	1.00519i	−0.235275	−	0.0338274i	0.0236687	−	0.999720i	$-0.492465\pi$
$883$	−6.99127	−	1.00519i	−0.235275	−	0.0338274i	−0.258944	+	0.965892i	$0.583374\pi$
$884$	2.55584	+	5.59650i	0.0859620	+	0.188231i
$885$	2.95403	−	12.3250i	0.0992988	−	0.414301i
$886$	−19.0029	−	5.57975i	−0.638415	−	0.187456i
$887$	4.30012	−	1.96380i	0.144384	−	0.0659379i	−0.341913	−	0.939732i	$-0.611075\pi$
$887$	4.30012	−	1.96380i	0.144384	−	0.0659379i	0.486297	+	0.873794i	$0.338347\pi$
$888$	−32.1749	−	4.62606i	−1.07972	−	0.155240i
$889$	3.50133	−	4.04075i	0.117431	−	0.135522i
$890$	20.7404	+	8.23686i	0.695218	+	0.276100i
$891$	−28.2980	−	18.1860i	−0.948020	−	0.609256i
$892$	−3.88562	+	0.558667i	−0.130100	+	0.0187056i
$893$	−11.8331	−	18.4127i	−0.395980	−	0.616157i
$894$	−5.61251	−	6.47718i	−0.187710	−	0.216629i
$895$	19.3899	−	6.77089i	0.648135	−	0.226326i
$896$	3.31589			0.110776
$897$	−9.02801	−	45.9319i	−0.301437	−	1.53362i
$898$			29.6897i			0.990757i
$899$	2.49421	−	0.732366i	0.0831866	−	0.0244258i
$900$	−0.733276	−	0.691492i	−0.0244425	−	0.0230497i
$901$	2.61176	−	1.67847i	0.0870102	−	0.0559181i
$902$	14.3536	−	2.06373i	0.477922	−	0.0687148i
$903$	12.9725	−	20.1856i	0.431697	−	0.671733i
$904$	1.53848	−	3.36880i	0.0511690	−	0.112044i
$905$	−26.5139	+	33.9073i	−0.881353	+	1.12712i
$906$	2.90822	−	20.2271i	0.0966191	−	0.672001i
$907$	17.6783	−	8.07339i	0.586997	−	0.268072i	−0.0996986	−	0.995018i	$-0.531788\pi$
$907$	17.6783	−	8.07339i	0.586997	−	0.268072i	0.686695	+	0.726945i	$0.259061\pi$
$908$	−0.0626689	+	0.213431i	−0.00207974	+	0.00708294i
$909$	4.15362	+	1.21961i	0.137767	+	0.0404520i
$910$	−20.7559	+	10.7730i	−0.688052	+	0.357122i
$911$	−5.48351	+	38.1386i	−0.181677	+	1.26359i	0.671121	+	0.741348i	$0.265813\pi$
$911$	−5.48351	+	38.1386i	−0.181677	+	1.26359i	−0.852798	+	0.522241i	$0.825096\pi$
$912$	18.8892	+	16.3676i	0.625484	+	0.541985i
$913$	−17.3077	−	7.90416i	−0.572801	−	0.261589i
$914$	−10.5777	−	6.79785i	−0.349878	−	0.224853i
$915$	−8.89692	+	1.74021i	−0.294123	+	0.0575297i
$916$	−7.03010	+	4.51797i	−0.232281	+	0.149278i
$917$	−12.5751	+	10.8964i	−0.415268	+	0.359832i
$918$	−2.56669	−	8.74134i	−0.0847134	−	0.288507i
$919$	−41.5199			−1.36961			−0.684807	−	0.728725i	$-0.740113\pi$
$919$	−41.5199			−1.36961			−0.684807	+	0.728725i	$0.740113\pi$
$920$	3.34944	+	32.8412i	0.110428	+	1.08274i
$921$	−28.5020			−0.939171
$922$	−2.88374	−	9.82112i	−0.0949710	−	0.323441i
$923$	29.4852	−	25.5491i	0.970519	−	0.840959i
$924$	−6.29954	+	4.04847i	−0.207240	+	0.133185i
$925$	−31.1078	+	7.72868i	−1.02282	+	0.254117i
$926$	−29.8116	−	19.1587i	−0.979669	−	0.629595i
$927$	−2.70521	−	1.23543i	−0.0888507	−	0.0405767i
$928$	−7.58407	−	6.57164i	−0.248959	−	0.215725i
$929$	5.26352	−	36.6086i	0.172690	−	1.20109i	−0.700480	−	0.713672i	$-0.747031\pi$
$929$	5.26352	−	36.6086i	0.172690	−	1.20109i	0.873170	−	0.487415i	$-0.162060\pi$
$930$	−1.88435	−	3.63049i	−0.0617902	−	0.119049i
$931$	−31.8747	−	9.35926i	−1.04465	−	0.306737i
$932$	−5.64883	+	19.2381i	−0.185033	+	0.630166i
$933$	9.36739	−	4.27794i	0.306674	−	0.140054i
$934$	−3.50221	+	24.3584i	−0.114596	+	0.797032i
$935$	−10.8650	−	8.49593i	−0.355324	−	0.277846i
$936$	−2.17365	+	4.75964i	−0.0710481	+	0.155574i
$937$	4.53579	−	7.05782i	0.148178	−	0.230569i	−0.759228	−	0.650825i	$-0.774423\pi$
$937$	4.53579	−	7.05782i	0.148178	−	0.230569i	0.907406	+	0.420256i	$0.138060\pi$
$938$	6.25894	−	0.899900i	0.204362	−	0.0293828i
$939$	−21.1256	+	13.5766i	−0.689409	+	0.443057i
$940$	3.43687	−	3.29520i	0.112098	−	0.107478i
$941$	−2.33024	+	0.684221i	−0.0759638	+	0.0223050i	−0.319494	−	0.947588i	$-0.603513\pi$
$941$	−2.33024	+	0.684221i	−0.0759638	+	0.0223050i	0.243530	+	0.969893i	$0.421695\pi$
$942$		−	21.1854i		−	0.690257i
$943$	10.1316	+	10.5477i	0.329930	+	0.343481i
$944$	7.22850			0.235268
$945$	−17.7099	+	6.18423i	−0.576104	+	0.201173i
$946$	29.2742	+	33.7842i	0.951785	+	1.09842i
$947$	4.93184	+	7.67410i	0.160263	+	0.249375i	0.912094	−	0.409982i	$-0.134465\pi$
$947$	4.93184	+	7.67410i	0.160263	+	0.249375i	−0.751830	+	0.659357i	$0.770829\pi$
$948$	6.97833	−	1.00333i	0.226646	−	0.0325867i
$949$	44.0552	+	28.3126i	1.43009	+	0.919065i
$950$	38.9476	+	13.2397i	1.26363	+	0.429553i
$951$	18.8759	−	21.7839i	0.612093	−	0.706393i
$952$	−6.97560	−	1.00294i	−0.226080	−	0.0325055i
$953$	6.81610	−	3.11281i	0.220795	−	0.100834i	−0.301947	−	0.953325i	$-0.597636\pi$
$953$	6.81610	−	3.11281i	0.220795	−	0.100834i	0.522742	+	0.852491i	$0.324909\pi$
$954$	0.658717	+	0.193417i	0.0213268	+	0.00626210i
$955$	−2.72101	−	0.652166i	−0.0880499	−	0.0211036i
$956$	5.43427	+	11.8994i	0.175757	+	0.384854i
$957$	−18.1469	−	2.60913i	−0.586605	−	0.0843411i
$958$	33.5953	+	29.1105i	1.08542	+	0.940518i
$959$	4.23985	−	9.28398i	0.136912	−	0.299795i
$960$	−15.5576	+	27.1191i	−0.502119	+	0.875264i
$961$	4.27646	+	29.7434i	0.137950	+	0.959465i
$962$	23.3922	+	36.3989i	0.754194	+	1.17355i
$963$	−2.76906	+	2.39940i	−0.0892317	+	0.0773197i
$964$	−18.1429	+	5.32724i	−0.584344	+	0.171579i
$965$	−1.58396	−	31.4267i	−0.0509893	−	1.01166i
$966$	12.9619	+	5.13393i	0.417043	+	0.165181i
$967$		−	23.9003i		−	0.768580i	−0.923212	−	0.384290i	$-0.874446\pi$
$967$		−	23.9003i		−	0.768580i	0.923212	−	0.384290i	$-0.125554\pi$
$968$	−5.57637	−	18.9914i	−0.179231	−	0.610406i
$969$	−11.5117	−	13.2852i	−0.369808	−	0.426781i
$970$	−28.8801	+	20.6857i	−0.927283	+	0.664179i
$971$	−6.15950	−	42.8403i	−0.197668	−	1.37481i	−0.811028	−	0.585007i	$-0.801092\pi$
$971$	−6.15950	−	42.8403i	−0.197668	−	1.37481i	0.613361	−	0.789803i	$-0.289817\pi$
$972$	−1.12856	+	1.75607i	−0.0361986	+	0.0563261i
$973$	−4.22470	−	1.92936i	−0.135438	−	0.0618523i
$974$	15.2013	−	17.5432i	0.487081	−	0.562122i
$975$	2.05313	−	48.7603i	0.0657528	−	1.56158i
$976$	−2.14786	−	4.70316i	−0.0687514	−	0.150544i
$977$	−12.2840	+	41.8355i	−0.393001	+	1.33844i	0.491085	+	0.871112i	$0.336601\pi$
$977$	−12.2840	+	41.8355i	−0.393001	+	1.33844i	−0.884085	+	0.467325i	$0.845218\pi$
$978$	−4.37965	+	14.9157i	−0.140046	+	0.476952i
$979$	−15.1967	−	33.2761i	−0.485688	−	1.06351i
$980$	0.667096	−	7.19591i	0.0213096	−	0.229865i
$981$	2.77708	−	3.20492i	0.0886653	−	0.102325i
$982$	−17.8105	−	8.13378i	−0.568356	−	0.259559i
$983$	−13.8777	+	21.5942i	−0.442631	+	0.688747i	−0.988853	−	0.148893i	$-0.952429\pi$
$983$	−13.8777	+	21.5942i	−0.442631	+	0.688747i	0.546222	+	0.837640i	$0.316065\pi$
$984$	2.20065	+	15.3058i	0.0701541	+	0.487932i
$985$	29.3384	+	40.9603i	0.934799	+	1.30510i
$986$	−2.93785	−	3.39046i	−0.0935603	−	0.107974i
$987$	−2.17881	−	7.42034i	−0.0693522	−	0.236192i
$988$			30.0807i			0.956994i
$989$	−10.4682	+	43.8538i	−0.332868	+	1.39447i
$990$	−0.153526	−	3.04606i	−0.00487939	−	0.0968102i
$991$	40.0096	−	11.7479i	1.27095	−	0.373184i	0.424390	−	0.905480i	$-0.360489\pi$
$991$	40.0096	−	11.7479i	1.27095	−	0.373184i	0.846559	+	0.532296i	$0.178670\pi$
$992$	−2.77377	+	2.40349i	−0.0880673	+	0.0763108i
$993$	23.4144	+	36.4335i	0.743033	+	1.15618i
$994$	1.65365	+	11.5014i	0.0524507	+	0.364803i
$995$	−2.88030	−	1.65236i	−0.0913117	−	0.0523835i
$996$	2.19152	−	4.79877i	0.0694411	−	0.152055i
$997$	15.8704	+	13.7518i	0.502622	+	0.435524i	0.868905	−	0.494979i	$-0.164824\pi$
$997$	15.8704	+	13.7518i	0.502622	+	0.435524i	−0.366283	+	0.930504i	$0.619370\pi$
$998$	−11.0651	−	1.59092i	−0.350260	−	0.0503598i
$999$	14.4180	+	31.5710i	0.456165	+	0.998861i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	115.2.j.a.9.4	✓	100
5.2	odd	4		575.2.k.g.101.7		100
5.3	odd	4		575.2.k.g.101.4		100
5.4	even	2	inner	115.2.j.a.9.7	yes	100
23.18	even	11	inner	115.2.j.a.64.7	yes	100
115.18	odd	44		575.2.k.g.501.4		100
115.64	even	22	inner	115.2.j.a.64.4	yes	100
115.87	odd	44		575.2.k.g.501.7		100

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
115.2.j.a.9.4	✓	100	1.1	even	1	trivial
115.2.j.a.9.7	yes	100	5.4	even	2	inner
115.2.j.a.64.4	yes	100	115.64	even	22	inner
115.2.j.a.64.7	yes	100	23.18	even	11	inner
575.2.k.g.101.4		100	5.3	odd	4
575.2.k.g.101.7		100	5.2	odd	4
575.2.k.g.501.4		100	115.18	odd	44
575.2.k.g.501.7		100	115.87	odd	44

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:	\( N \)	\(=\)	\( 115 = 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	115.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.320885 - 1.09283i) q^{2} +(1.24484 - 1.07866i) q^{3} +(0.591189 - 0.379934i) q^{4} +(0.429235 + 2.19448i) q^{5} +(-1.57825 - 1.01428i) q^{6} +(1.40950 + 0.643697i) q^{7} +(-2.32646 - 2.01589i) q^{8} +(-0.0408222 + 0.283925i) q^{9} +O(q^{10})\)	\(q+(-0.320885 - 1.09283i) q^{2} +(1.24484 - 1.07866i) q^{3} +(0.591189 - 0.379934i) q^{4} +(0.429235 + 2.19448i) q^{5} +(-1.57825 - 1.01428i) q^{6} +(1.40950 + 0.643697i) q^{7} +(-2.32646 - 2.01589i) q^{8} +(-0.0408222 + 0.283925i) q^{9} +(2.26047 - 1.17326i) q^{10} +(-4.00579 - 1.17621i) q^{11} +(0.326117 - 1.11065i) q^{12} +(-5.39026 + 2.46165i) q^{13} +(0.251167 - 1.74690i) q^{14} +(2.90144 + 2.26879i) q^{15} +(-0.872642 + 1.91082i) q^{16} +(0.798760 - 1.24289i) q^{17} +(0.323382 - 0.0464953i) q^{18} +(6.07675 - 3.90529i) q^{19} +(1.08752 + 1.13427i) q^{20} +(2.44894 - 0.719074i) q^{21} +4.75509i q^{22} +(-3.89631 + 2.79621i) q^{23} -5.07055 q^{24} +(-4.63151 + 1.88390i) q^{25} +(4.41983 + 5.10075i) q^{26} +(2.92702 + 4.55453i) q^{27} +(1.07784 - 0.154970i) q^{28} +(2.24279 + 1.44135i) q^{29} +(1.54838 - 3.89881i) q^{30} +(0.638526 - 0.736898i) q^{31} +(-3.72580 - 0.535690i) q^{32} +(-6.25531 + 2.85671i) q^{33} +(-1.61459 - 0.474086i) q^{34} +(-0.807576 + 3.36942i) q^{35} +(0.0837390 + 0.183363i) q^{36} +(6.34545 + 0.912338i) q^{37} +(-6.21777 - 5.38773i) q^{38} +(-4.05474 + 8.87865i) q^{39} +(3.42524 - 5.97067i) q^{40} +(-0.434006 - 3.01857i) q^{41} +(-1.57166 - 2.44555i) q^{42} +(7.10485 - 6.15639i) q^{43} +(-2.81506 + 0.826575i) q^{44} +(-0.640591 + 0.0322868i) q^{45} +(4.30606 + 3.36076i) q^{46} -3.03002i q^{47} +(0.974829 + 3.31996i) q^{48} +(-3.01168 - 3.47566i) q^{49} +(3.54497 + 4.45696i) q^{50} +(-0.346334 - 2.40881i) q^{51} +(-2.25140 + 3.50324i) q^{52} +(1.91146 + 0.872932i) q^{53} +(4.03811 - 4.66022i) q^{54} +(0.861738 - 9.29550i) q^{55} +(-1.98152 - 4.33893i) q^{56} +(3.35212 - 11.4163i) q^{57} +(0.855482 - 2.91350i) q^{58} +(-1.42947 - 3.13011i) q^{59} +(2.57729 + 0.238927i) q^{60} +(-1.61183 + 1.86015i) q^{61} +(-1.01020 - 0.461343i) q^{62} +(-0.240301 + 0.373915i) q^{63} +(1.20804 + 8.40212i) q^{64} +(-7.71574 - 10.7722i) q^{65} +(5.12914 + 5.91934i) q^{66} +(1.00941 + 3.43775i) q^{67} -1.03826i q^{68} +(-1.83413 + 7.68365i) q^{69} +(3.94136 - 0.198651i) q^{70} +(-6.31720 + 1.85490i) q^{71} +(0.667332 - 0.578247i) q^{72} +(-4.77788 - 7.43453i) q^{73} +(-1.03913 - 7.22728i) q^{74} +(-3.73342 + 7.34101i) q^{75} +(2.10875 - 4.61753i) q^{76} +(-4.88904 - 4.23637i) q^{77} +(11.0040 + 1.58214i) q^{78} +(2.53011 + 5.54018i) q^{79} +(-4.56783 - 1.09481i) q^{80} +(7.73081 + 2.26997i) q^{81} +(-3.15953 + 1.44291i) q^{82} +(4.51112 + 0.648601i) q^{83} +(1.17459 - 1.35554i) q^{84} +(3.07037 + 1.21937i) q^{85} +(-9.00775 - 5.78893i) q^{86} +(4.34666 - 0.624955i) q^{87} +(6.94820 + 10.8116i) q^{88} +(5.73812 + 6.62215i) q^{89} +(0.240840 + 0.689699i) q^{90} -9.18213 q^{91} +(-1.24108 + 3.13343i) q^{92} -1.60608i q^{93} +(-3.31131 + 0.972287i) q^{94} +(11.1785 + 11.6590i) q^{95} +(-5.21588 + 3.35204i) q^{96} +(-13.8065 + 1.98507i) q^{97} +(-2.83192 + 4.40655i) q^{98} +(0.497479 - 1.08933i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9}+O(q^{10}) \) 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9	\( 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9} - 13 q^{10} - 26 q^{11} - 26 q^{14} - 10 q^{15} - 18 q^{16} - 14 q^{19} + 49 q^{20} - 22 q^{21} - 68 q^{24} + 21 q^{25} - 42 q^{26} - 24 q^{29} + 19 q^{30} - 12 q^{31} + 8 q^{34} - 37 q^{35} - 10 q^{36} + 14 q^{39} - q^{40} + 8 q^{41} + 166 q^{44} - 42 q^{45} - 18 q^{46} + 32 q^{49} - 23 q^{50} - 22 q^{51} + 116 q^{54} + 27 q^{55} - 116 q^{56} + 50 q^{59} + 123 q^{60} - 38 q^{61} + 10 q^{64} + 76 q^{65} - 28 q^{66} + 80 q^{69} + 102 q^{70} - 110 q^{71} + 22 q^{74} + 6 q^{75} + 4 q^{76} + 42 q^{79} + 18 q^{80} + 204 q^{81} + 56 q^{84} - 121 q^{85} + 132 q^{86} - 66 q^{89} - 198 q^{90} + 76 q^{91} - 70 q^{94} - 74 q^{95} + 236 q^{96} - 60 q^{99}+O(q^{100}) \) 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9 - 13 * q^10 - 26 * q^11 - 26 * q^14 - 10 * q^15 - 18 * q^16 - 14 * q^19 + 49 * q^20 - 22 * q^21 - 68 * q^24 + 21 * q^25 - 42 * q^26 - 24 * q^29 + 19 * q^30 - 12 * q^31 + 8 * q^34 - 37 * q^35 - 10 * q^36 + 14 * q^39 - q^40 + 8 * q^41 + 166 * q^44 - 42 * q^45 - 18 * q^46 + 32 * q^49 - 23 * q^50 - 22 * q^51 + 116 * q^54 + 27 * q^55 - 116 * q^56 + 50 * q^59 + 123 * q^60 - 38 * q^61 + 10 * q^64 + 76 * q^65 - 28 * q^66 + 80 * q^69 + 102 * q^70 - 110 * q^71 + 22 * q^74 + 6 * q^75 + 4 * q^76 + 42 * q^79 + 18 * q^80 + 204 * q^81 + 56 * q^84 - 121 * q^85 + 132 * q^86 - 66 * q^89 - 198 * q^90 + 76 * q^91 - 70 * q^94 - 74 * q^95 + 236 * q^96 - 60 * q^99

Introduction

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