LMFDB - Embedded newform 663.2.cf.a.110.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [663,2,Mod(110,663)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(663, base_ring=CyclotomicField(24))

chi = DirichletCharacter(H, H._module([12, 10, 15]))

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

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

chi := DirichletCharacter("663.110");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 663 = 3 \cdot 13 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	663.cf (of order $24$, 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:	$5.29408165401$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$80$ over $\Q(\zeta_{24})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			110.4
Character	$\chi$	$=$	663.110
Dual form			663.2.cf.a.440.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.31688 + 2.28090i) q^{2} +(1.56064 + 0.751258i) q^{3} +(-2.46834 - 4.27530i) q^{4} +(0.0697335 + 0.168352i) q^{5} +(-3.76873 + 2.57036i) q^{6} +(-0.518512 - 3.93849i) q^{7} +7.73453 q^{8} +(1.87122 + 2.34489i) q^{9} +O(q^{10})$	\(q+(-1.31688 + 2.28090i) q^{2} +(1.56064 + 0.751258i) q^{3} +(-2.46834 - 4.27530i) q^{4} +(0.0697335 + 0.168352i) q^{5} +(-3.76873 + 2.57036i) q^{6} +(-0.518512 - 3.93849i) q^{7} +7.73453 q^{8} +(1.87122 + 2.34489i) q^{9} +(-0.475824 - 0.0626434i) q^{10} +(-1.05182 + 0.807087i) q^{11} +(-0.640355 - 8.52658i) q^{12} +(-3.15150 - 1.75158i) q^{13} +(9.66614 + 4.00384i) q^{14} +(-0.0176463 + 0.315125i) q^{15} +(-5.24875 + 9.09111i) q^{16} +(1.64992 - 3.77859i) q^{17} +(-7.81265 + 1.18013i) q^{18} +(5.24893 - 3.03047i) q^{19} +(0.547627 - 0.713681i) q^{20} +(2.14961 - 6.53612i) q^{21} +(-0.455771 - 3.46193i) q^{22} +(0.829769 + 0.109241i) q^{23} +(12.0708 + 5.81063i) q^{24} +(3.51205 - 3.51205i) q^{25} +(8.14533 - 4.88165i) q^{26} +(1.15869 + 5.06532i) q^{27} +(-15.5584 + 11.9383i) q^{28} +(4.66570 + 6.08045i) q^{29} +(-0.695531 - 0.455231i) q^{30} +(1.85172 + 4.47044i) q^{31} +(-6.08943 - 10.5472i) q^{32} +(-2.24784 + 0.469390i) q^{33} +(6.44586 + 8.73925i) q^{34} +(0.626894 - 0.361937i) q^{35} +(5.40630 - 13.7880i) q^{36} +(0.653919 - 4.96701i) q^{37} +15.9631i q^{38} +(-3.60249 - 5.10118i) q^{39} +(0.539356 + 1.30212i) q^{40} +(3.00383 - 2.30492i) q^{41} +(12.0775 + 13.5103i) q^{42} +(8.74960 + 2.34445i) q^{43} +(6.04678 + 2.50466i) q^{44} +(-0.264280 + 0.478541i) q^{45} +(-1.34187 + 1.74876i) q^{46} +(-2.02188 - 2.02188i) q^{47} +(-15.0212 + 10.2448i) q^{48} +(-8.48139 + 2.27258i) q^{49} +(3.38570 + 12.6356i) q^{50} +(5.41363 - 4.65753i) q^{51} +(0.290477 + 17.7971i) q^{52} +(-3.65296 - 3.65296i) q^{53} +(-13.0794 - 4.02755i) q^{54} +(-0.209221 - 0.120794i) q^{55} +(-4.01045 - 30.4624i) q^{56} +(10.4684 - 0.786186i) q^{57} +(-20.0131 + 2.63477i) q^{58} +(-4.19695 - 7.26933i) q^{59} +(1.39081 - 0.702393i) q^{60} +(4.62532 + 3.54913i) q^{61} +(-12.6351 - 1.66344i) q^{62} +(8.26510 - 8.58565i) q^{63} +11.0812 q^{64} +(0.0751156 - 0.652704i) q^{65} +(1.88950 - 5.74524i) q^{66} +(-2.55776 - 9.54569i) q^{67} +(-20.2272 + 2.27298i) q^{68} +(1.21291 + 0.793858i) q^{69} +1.90651i q^{70} +(-7.74367 - 5.94192i) q^{71} +(14.4730 + 18.1366i) q^{72} +(-0.923397 - 2.22928i) q^{73} +(10.4681 + 8.03248i) q^{74} +(8.11953 - 2.84261i) q^{75} +(-25.9123 - 14.9605i) q^{76} +(3.72409 + 3.72409i) q^{77} +(16.3793 - 1.49928i) q^{78} +(-1.35753 - 3.27737i) q^{79} +(-1.89652 - 0.249681i) q^{80} +(-1.99705 + 8.77564i) q^{81} +(1.30161 + 9.88674i) q^{82} -2.42471 q^{83} +(-33.2498 + 6.94317i) q^{84} +(0.751187 + 0.0142716i) q^{85} +(-16.8696 + 16.8696i) q^{86} +(2.71350 + 12.9946i) q^{87} +(-8.13530 + 6.24244i) q^{88} +(-14.9146 + 3.99637i) q^{89} +(-0.743480 - 1.23298i) q^{90} +(-5.26448 + 13.3204i) q^{91} +(-1.58112 - 3.81715i) q^{92} +(-0.468583 + 8.36788i) q^{93} +(7.27430 - 1.94914i) q^{94} +(0.876210 + 0.672340i) q^{95} +(-1.57976 - 21.0352i) q^{96} +(10.1212 + 7.76626i) q^{97} +(5.98543 - 22.3379i) q^{98} +(-3.86072 - 0.956158i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 4 q^{3} - 304 q^{4} - 16 q^{7} - 4 q^{9}+O(q^{10}) $ 640 * q - 4 * q^3 - 304 * q^4 - 16 * q^7 - 4 * q^9	$ 640 q - 4 q^{3} - 304 q^{4} - 16 q^{7} - 4 q^{9} - 88 q^{10} + 16 q^{12} - 36 q^{15} - 288 q^{16} - 24 q^{19} + 32 q^{21} - 8 q^{22} - 8 q^{24} + 32 q^{25} - 64 q^{27} + 8 q^{28} + 32 q^{30} - 32 q^{31} - 48 q^{33} + 32 q^{34} - 20 q^{36} - 112 q^{37} - 12 q^{39} + 32 q^{40} + 44 q^{42} - 40 q^{43} + 56 q^{45} + 32 q^{46} - 68 q^{48} - 40 q^{49} - 64 q^{51} + 32 q^{52} + 104 q^{54} - 4 q^{57} - 48 q^{58} - 8 q^{61} + 16 q^{63} + 480 q^{64} - 120 q^{66} - 64 q^{67} - 24 q^{69} - 208 q^{72} - 96 q^{73} - 56 q^{75} - 72 q^{76} + 164 q^{78} - 64 q^{79} - 48 q^{81} + 8 q^{82} - 32 q^{84} - 8 q^{85} + 68 q^{87} - 104 q^{88} + 16 q^{90} + 96 q^{91} - 28 q^{93} - 56 q^{94} + 40 q^{96} + 64 q^{97} + 52 q^{99}+O(q^{100}) $ 640 * q - 4 * q^3 - 304 * q^4 - 16 * q^7 - 4 * q^9 - 88 * q^10 + 16 * q^12 - 36 * q^15 - 288 * q^16 - 24 * q^19 + 32 * q^21 - 8 * q^22 - 8 * q^24 + 32 * q^25 - 64 * q^27 + 8 * q^28 + 32 * q^30 - 32 * q^31 - 48 * q^33 + 32 * q^34 - 20 * q^36 - 112 * q^37 - 12 * q^39 + 32 * q^40 + 44 * q^42 - 40 * q^43 + 56 * q^45 + 32 * q^46 - 68 * q^48 - 40 * q^49 - 64 * q^51 + 32 * q^52 + 104 * q^54 - 4 * q^57 - 48 * q^58 - 8 * q^61 + 16 * q^63 + 480 * q^64 - 120 * q^66 - 64 * q^67 - 24 * q^69 - 208 * q^72 - 96 * q^73 - 56 * q^75 - 72 * q^76 + 164 * q^78 - 64 * q^79 - 48 * q^81 + 8 * q^82 - 32 * q^84 - 8 * q^85 + 68 * q^87 - 104 * q^88 + 16 * q^90 + 96 * q^91 - 28 * q^93 - 56 * q^94 + 40 * q^96 + 64 * q^97 + 52 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/663\mathbb{Z}\right)^\times$.

$n$	$443$	$547$	$613$
$\chi(n)$	$-1$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{5}{12}\right)$

Coefficient data

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

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

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

$2$	−1.31688	+	2.28090i	−0.931174	+	1.61284i	−0.149857	+	0.988708i	$0.547881\pi$
$2$	−1.31688	+	2.28090i	−0.931174	+	1.61284i	−0.781317	+	0.624134i	$0.785452\pi$
$3$	1.56064	+	0.751258i	0.901039	+	0.433739i
$3$	1.56064	+	0.751258i	0.901039	+	0.433739i
$4$	−2.46834	−	4.27530i	−1.23417	−	2.13765i
$5$	0.0697335	+	0.168352i	0.0311858	+	0.0752891i	0.938705	−	0.344721i	$-0.112027\pi$
$5$	0.0697335	+	0.168352i	0.0311858	+	0.0752891i	−0.907519	+	0.420010i	$0.862027\pi$
$6$	−3.76873	+	2.57036i	−1.53858	+	1.04935i
$7$	−0.518512	−	3.93849i	−0.195979	−	1.48861i	−0.752950	−	0.658078i	$-0.771370\pi$
$7$	−0.518512	−	3.93849i	−0.195979	−	1.48861i	0.556970	−	0.830532i	$-0.311964\pi$
$8$	7.73453			2.73457
$9$	1.87122	+	2.34489i	0.623741	+	0.781631i
$10$	−0.475824	−	0.0626434i	−0.150469	−	0.0198096i
$11$	−1.05182	+	0.807087i	−0.317135	+	0.243346i	−0.755045	−	0.655672i	$-0.772385\pi$
$11$	−1.05182	+	0.807087i	−0.317135	+	0.243346i	0.437911	+	0.899018i	$0.355719\pi$
$12$	−0.640355	−	8.52658i	−0.184855	−	2.46141i
$13$	−3.15150	−	1.75158i	−0.874070	−	0.485800i
$13$	−3.15150	−	1.75158i	−0.874070	−	0.485800i
$14$	9.66614	+	4.00384i	2.58338	+	1.07007i
$15$	−0.0176463	+	0.315125i	−0.00455625	+	0.0813649i
$16$	−5.24875	+	9.09111i	−1.31219	+	2.27278i
$17$	1.64992	−	3.77859i	0.400164	−	0.916444i
$17$	1.64992	−	3.77859i	0.400164	−	0.916444i
$18$	−7.81265	+	1.18013i	−1.84146	+	0.278160i
$19$	5.24893	−	3.03047i	1.20419	−	0.695237i	0.242703	−	0.970101i	$-0.421966\pi$
$19$	5.24893	−	3.03047i	1.20419	−	0.695237i	0.961483	+	0.274863i	$0.0886326\pi$
$20$	0.547627	−	0.713681i	0.122453	−	0.159584i
$21$	2.14961	−	6.53612i	0.469084	−	1.42630i
$22$	−0.455771	−	3.46193i	−0.0971708	−	0.738085i
$23$	0.829769	+	0.109241i	0.173019	+	0.0227784i	0.216538	−	0.976274i	$-0.430524\pi$
$23$	0.829769	+	0.109241i	0.173019	+	0.0227784i	−0.0435189	+	0.999053i	$0.513857\pi$
$24$	12.0708	+	5.81063i	2.46395	+	1.18609i
$25$	3.51205	−	3.51205i	0.702411	−	0.702411i
$26$	8.14533	−	4.88165i	1.59743	−	0.957371i
$27$	1.15869	+	5.06532i	0.222990	+	0.974821i
$28$	−15.5584	+	11.9383i	−2.94025	+	2.25614i
$29$	4.66570	+	6.08045i	0.866398	+	1.12911i	0.990591	+	0.136854i	$0.0436990\pi$
$29$	4.66570	+	6.08045i	0.866398	+	1.12911i	−0.124193	+	0.992258i	$0.539634\pi$
$30$	−0.695531	−	0.455231i	−0.126986	−	0.0831134i
$31$	1.85172	+	4.47044i	0.332578	+	0.802914i	0.998386	+	0.0567911i	$0.0180869\pi$
$31$	1.85172	+	4.47044i	0.332578	+	0.802914i	−0.665808	+	0.746123i	$0.731913\pi$
$32$	−6.08943	−	10.5472i	−1.07647	−	1.86450i
$33$	−2.24784	+	0.469390i	−0.391299	+	0.0817104i
$34$	6.44586	+	8.73925i	1.10546	+	1.49877i
$35$	0.626894	−	0.361937i	0.105964	−	0.0611786i
$36$	5.40630	−	13.7880i	0.901050	−	2.29801i
$37$	0.653919	−	4.96701i	0.107504	−	0.816572i	−0.849722	−	0.527230i	$-0.823230\pi$
$37$	0.653919	−	4.96701i	0.107504	−	0.816572i	0.957226	−	0.289341i	$-0.0934362\pi$
$38$			15.9631i			2.58955i
$39$	−3.60249	−	5.10118i	−0.576860	−	0.816843i
$40$	0.539356	+	1.30212i	0.0852796	+	0.205883i
$41$	3.00383	−	2.30492i	0.469119	−	0.359968i	−0.346987	−	0.937870i	$-0.612795\pi$
$41$	3.00383	−	2.30492i	0.469119	−	0.359968i	0.816106	+	0.577902i	$0.196128\pi$
$42$	12.0775	+	13.5103i	1.86360	+	2.08469i
$43$	8.74960	+	2.34445i	1.33430	+	0.357525i	0.854317	−	0.519752i	$-0.173976\pi$
$43$	8.74960	+	2.34445i	1.33430	+	0.357525i	0.479985	+	0.877277i	$0.340642\pi$
$44$	6.04678	+	2.50466i	0.911586	+	0.377591i
$45$	−0.264280	+	0.478541i	−0.0393965	+	0.0713366i
$46$	−1.34187	+	1.74876i	−0.197849	+	0.257841i
$47$	−2.02188	−	2.02188i	−0.294922	−	0.294922i	0.544099	−	0.839021i	$-0.316872\pi$
$47$	−2.02188	−	2.02188i	−0.294922	−	0.294922i	−0.839021	+	0.544099i	$0.816872\pi$
$48$	−15.0212	+	10.2448i	−2.16812	+	1.47871i
$49$	−8.48139	+	2.27258i	−1.21163	+	0.324655i
$50$	3.38570	+	12.6356i	0.478810	+	1.78694i
$51$	5.41363	−	4.65753i	0.758060	−	0.652184i
$52$	0.290477	+	17.7971i	0.0402819	+	2.46802i
$53$	−3.65296	−	3.65296i	−0.501772	−	0.501772i	0.410216	−	0.911988i	$-0.365453\pi$
$53$	−3.65296	−	3.65296i	−0.501772	−	0.501772i	−0.911988	+	0.410216i	$0.865453\pi$
$54$	−13.0794	−	4.02755i	−1.77987	−	0.548080i
$55$	−0.209221	−	0.120794i	−0.0282114	−	0.0162878i
$56$	−4.01045	−	30.4624i	−0.535919	−	4.07071i
$57$	10.4684	−	0.786186i	1.38657	−	0.104133i
$58$	−20.0131	+	2.63477i	−2.62785	+	0.345962i
$59$	−4.19695	−	7.26933i	−0.546396	−	0.946386i	−0.998518	−	0.0544297i	$-0.982666\pi$
$59$	−4.19695	−	7.26933i	−0.546396	−	0.946386i	0.452121	−	0.891956i	$-0.350667\pi$
$60$	1.39081	−	0.702393i	0.179553	−	0.0906786i
$61$	4.62532	+	3.54913i	0.592211	+	0.454420i	0.860877	−	0.508814i	$-0.169916\pi$
$61$	4.62532	+	3.54913i	0.592211	+	0.454420i	−0.268665	+	0.963234i	$0.586582\pi$
$62$	−12.6351	−	1.66344i	−1.60466	−	0.211258i
$63$	8.26510	−	8.58565i	1.04130	−	1.08169i
$64$	11.0812			1.38514
$65$	0.0751156	−	0.652704i	0.00931694	−	0.0809580i
$66$	1.88950	−	5.74524i	0.232582	−	0.707190i
$67$	−2.55776	−	9.54569i	−0.312480	−	1.16619i	−0.926313	−	0.376756i	$-0.877040\pi$
$67$	−2.55776	−	9.54569i	−0.312480	−	1.16619i	0.613832	−	0.789436i	$-0.289627\pi$
$68$	−20.2272	+	2.27298i	−2.45291	+	0.275640i
$69$	1.21291	+	0.793858i	0.146017	+	0.0955692i
$70$			1.90651i			0.227872i
$71$	−7.74367	−	5.94192i	−0.919004	−	0.705177i	0.0367560	−	0.999324i	$-0.488298\pi$
$71$	−7.74367	−	5.94192i	−0.919004	−	0.705177i	−0.955760	+	0.294148i	$0.904964\pi$
$72$	14.4730	+	18.1366i	1.70566	+	2.13742i
$73$	−0.923397	−	2.22928i	−0.108075	−	0.260917i	0.860585	−	0.509308i	$-0.170098\pi$
$73$	−0.923397	−	2.22928i	−0.108075	−	0.260917i	−0.968660	+	0.248390i	$0.920098\pi$
$74$	10.4681	+	8.03248i	1.21690	+	0.933757i
$75$	8.11953	−	2.84261i	0.937562	−	0.328236i
$76$	−25.9123	−	14.9605i	−2.97235	−	1.71608i
$77$	3.72409	+	3.72409i	0.424399	+	0.424399i
$78$	16.3793	−	1.49928i	1.85460	−	0.169760i
$79$	−1.35753	−	3.27737i	−0.152734	−	0.368733i	0.828930	−	0.559353i	$-0.188950\pi$
$79$	−1.35753	−	3.27737i	−0.152734	−	0.368733i	−0.981664	+	0.190620i	$0.938950\pi$
$80$	−1.89652	−	0.249681i	−0.212037	−	0.0279152i
$81$	−1.99705	+	8.77564i	−0.221895	+	0.975071i
$82$	1.30161	+	9.88674i	0.143739	+	1.09181i
$83$	−2.42471			−0.266147			−0.133073	−	0.991106i	$-0.542485\pi$
$83$	−2.42471			−0.266147			−0.133073	+	0.991106i	$0.542485\pi$
$84$	−33.2498	+	6.94317i	−3.62786	+	0.757562i
$85$	0.751187	+	0.0142716i	0.0814776	+	0.00154797i
$86$	−16.8696	+	16.8696i	−1.81910	+	1.81910i
$87$	2.71350	+	12.9946i	0.290918	+	1.39316i
$88$	−8.13530	+	6.24244i	−0.867226	+	0.665446i
$89$	−14.9146	+	3.99637i	−1.58095	+	0.423614i	−0.939220	−	0.343317i	$-0.888450\pi$
$89$	−14.9146	+	3.99637i	−1.58095	+	0.423614i	−0.641730	+	0.766931i	$0.721783\pi$
$90$	−0.743480	−	1.23298i	−0.0783697	−	0.129967i
$91$	−5.26448	+	13.3204i	−0.551868	+	1.39636i
$92$	−1.58112	−	3.81715i	−0.164843	−	0.397966i
$93$	−0.468583	+	8.36788i	−0.0485897	+	0.867708i
$94$	7.27430	−	1.94914i	0.750287	−	0.201039i
$95$	0.876210	+	0.672340i	0.0898973	+	0.0689806i
$96$	−1.57976	−	21.0352i	−0.161234	−	2.14689i
$97$	10.1212	+	7.76626i	1.02765	+	0.788544i	0.977657	−	0.210205i	$-0.0674132\pi$
$97$	10.1212	+	7.76626i	1.02765	+	0.788544i	0.0499937	+	0.998750i	$0.484080\pi$
$98$	5.98543	−	22.3379i	0.604620	−	2.25647i
$99$	−3.86072	−	0.956158i	−0.388017	−	0.0960975i
$100$	−23.6840	−	6.34612i	−2.36840	−	0.634612i
$101$	−4.92070	+	8.52290i	−0.489628	+	0.848060i	−0.999929	−	0.0119358i	$-0.996201\pi$
$101$	−4.92070	+	8.52290i	−0.489628	+	0.848060i	0.510301	+	0.859996i	$0.329534\pi$
$102$	3.49426	+	18.4814i	0.345984	+	1.82993i
$103$		−	14.4932i		−	1.42806i	−0.700115	−	0.714030i	$-0.746868\pi$
$103$		−	14.4932i		−	1.42806i	0.700115	−	0.714030i	$-0.253132\pi$
$104$	−24.3754	−	13.5476i	−2.39020	−	1.32845i
$105$	1.25027	−	0.0938963i	0.122014	−	0.00916334i
$106$	13.1425	−	3.52153i	1.27652	−	0.342041i
$107$	8.50490	+	11.0838i	0.822199	+	1.07151i	0.996228	+	0.0867706i	$0.0276547\pi$
$107$	8.50490	+	11.0838i	0.822199	+	1.07151i	−0.174029	+	0.984741i	$0.555679\pi$
$108$	18.7957	−	17.4567i	1.80862	−	1.67977i
$109$	−1.51273	+	3.65205i	−0.144893	+	0.349803i	−0.979620	−	0.200862i	$-0.935626\pi$
$109$	−1.51273	+	3.65205i	−0.144893	+	0.349803i	0.834726	+	0.550665i	$0.185626\pi$
$110$	0.551038	−	0.318142i	0.0525394	−	0.0303337i
$111$	4.75204	−	7.26048i	0.451044	−	0.689134i
$112$	38.5268	+	15.9583i	3.64044	+	1.50792i
$113$	−2.92464	−	2.24415i	−0.275127	−	0.211112i	0.461977	−	0.886892i	$-0.347140\pi$
$113$	−2.92464	−	2.24415i	−0.275127	−	0.211112i	−0.737104	+	0.675780i	$0.763807\pi$
$114$	−11.9924	+	24.9127i	−1.12319	+	2.33328i
$115$	0.0394718	+	0.147311i	0.00368076	+	0.0137368i
$116$	14.4792	−	34.9559i	1.34436	−	3.24557i
$117$	−1.78990	−	10.6675i	−0.165476	−	0.986214i
$118$	22.1075			2.03516
$119$	−15.7375	−	4.53894i	−1.44265	−	0.416084i
$120$	−0.136486	+	2.43734i	−0.0124594	+	0.222498i
$121$	−2.39208	+	8.92737i	−0.217462	+	0.811579i
$122$	−14.1862	+	5.87612i	−1.28436	+	0.531999i
$123$	6.41950	−	1.34051i	0.578827	−	0.120870i
$124$	14.5418	−	18.9512i	1.30589	−	1.70187i
$125$	1.67793	+	0.695019i	0.150078	+	0.0621644i
$126$	8.69890	+	30.1581i	0.774959	+	2.68670i
$127$	3.97558	+	14.8371i	0.352776	+	1.31658i	0.883261	+	0.468883i	$0.155343\pi$
$127$	3.97558	+	14.8371i	0.352776	+	1.31658i	−0.530485	+	0.847694i	$0.677990\pi$
$128$	−2.41369	+	4.18063i	−0.213342	+	0.369519i
$129$	11.8937	+	10.2321i	1.04719	+	0.900883i
$130$	1.38984	+	1.03086i	0.121897	+	0.0904127i
$131$	5.93533	−	14.3292i	0.518573	−	1.25194i	−0.420208	−	0.907428i	$-0.638043\pi$
$131$	5.93533	−	14.3292i	0.518573	−	1.25194i	0.938780	−	0.344517i	$-0.111957\pi$
$132$	7.55523	+	8.45157i	0.657598	+	0.735615i
$133$	−14.6571	−	19.1015i	−1.27093	−	1.65631i
$134$	25.1411	+	6.73653i	2.17186	+	0.581947i
$135$	−0.771954	+	0.548290i	−0.0664392	+	0.0471893i
$136$	12.7613	−	29.2256i	1.09428	−	2.50608i
$137$	14.5003	+	3.88535i	1.23885	+	0.331948i	0.818018	−	0.575193i	$-0.195073\pi$
$137$	14.5003	+	3.88535i	1.23885	+	0.331948i	0.420828	+	0.907140i	$0.361740\pi$
$138$	−3.40796	+	1.72111i	−0.290105	+	0.146510i
$139$	1.39667	−	0.183875i	0.118464	−	0.0155960i	−0.0710612	−	0.997472i	$-0.522639\pi$
$139$	1.39667	−	0.183875i	0.118464	−	0.0155960i	0.189525	+	0.981876i	$0.439305\pi$
$140$	−3.09478	−	1.78677i	−0.261556	−	0.151010i
$141$	−1.63649	−	4.67440i	−0.137817	−	0.393655i
$142$	23.7504	−	9.83775i	1.99309	−	0.825565i
$143$	4.72848	−	0.701199i	0.395415	−	0.0586372i
$144$	−31.1393	+	4.70371i	−2.59494	+	0.391976i
$145$	−0.698298	+	1.20949i	−0.0579905	+	0.100443i
$146$	6.30077	+	0.829512i	0.521455	+	0.0686509i
$147$	−14.9437	−	2.82502i	−1.23254	−	0.233004i
$148$	−22.8495	+	9.46459i	−1.87822	+	0.777985i
$149$	−17.2634	−	4.62571i	−1.41427	−	0.378953i	−0.530823	−	0.847483i	$-0.678117\pi$
$149$	−17.2634	−	4.62571i	−1.41427	−	0.378953i	−0.883448	+	0.468530i	$0.844784\pi$
$150$	−4.20873	+	22.2632i	−0.343641	+	1.81778i
$151$	−20.3377			−1.65506			−0.827530	−	0.561421i	$-0.810255\pi$
$151$	−20.3377			−1.65506			−0.827530	+	0.561421i	$0.810255\pi$
$152$	40.5980	−	23.4393i	3.29293	−	1.90117i
$153$	11.9478	−	3.20171i	0.965919	−	0.258843i
$154$	−13.3985	+	3.59010i	−1.07968	+	0.289299i
$155$	−0.623478	+	0.623478i	−0.0500790	+	0.0500790i
$156$	−12.9169	+	27.9932i	−1.03418	+	2.24125i
$157$		−	13.1336i		−	1.04817i	−0.851665	−	0.524087i	$-0.824407\pi$
$157$		−	13.1336i		−	1.04817i	0.851665	−	0.524087i	$-0.175593\pi$
$158$	9.26307	+	1.21951i	0.736930	+	0.0970187i
$159$	−2.95665	−	8.44528i	−0.234478	−	0.669754i
$160$	1.35100	−	1.76066i	0.106806	−	0.139192i
$161$		−	3.32468i		−	0.262022i
$162$	−17.3865	−	16.1115i	−1.36601	−	1.26584i
$163$	1.32341	+	10.0523i	0.103657	+	0.787355i	0.961763	+	0.273883i	$0.0883080\pi$
$163$	1.32341	+	10.0523i	0.103657	+	0.787355i	−0.858106	+	0.513473i	$0.828359\pi$
$164$	−17.2687	−	7.15293i	−1.34846	−	0.558550i
$165$	−0.235772	−	0.345695i	−0.0183549	−	0.0269124i
$166$	3.19306	−	5.53054i	0.247829	−	0.429253i
$167$	8.79540	+	1.15794i	0.680608	+	0.0896038i	0.462901	−	0.886410i	$-0.346809\pi$
$167$	8.79540	+	1.15794i	0.680608	+	0.0896038i	0.217708	+	0.976014i	$0.430142\pi$
$168$	16.6262	−	50.5538i	1.28274	−	3.90031i
$169$	6.86395	+	11.0402i	0.527996	+	0.849247i
$170$	−1.02177	+	1.69459i	−0.0783665	+	0.129969i
$171$	16.9280	+	6.63750i	1.29452	+	0.507582i
$172$	−11.5738	−	43.1941i	−0.882495	−	3.29352i
$173$	−9.41348	+	1.23931i	−0.715693	+	0.0942228i	−0.479574	−	0.877501i	$-0.659209\pi$
$173$	−9.41348	+	1.23931i	−0.715693	+	0.0942228i	−0.236119	+	0.971724i	$0.575876\pi$
$174$	−33.2127	−	10.9230i	−2.51785	−	0.828074i
$175$	−15.6532	−	12.0112i	−1.18327	−	0.907958i
$176$	−1.81659	−	13.7984i	−0.136931	−	1.04009i
$177$	−1.08880	−	14.4978i	−0.0818394	−	1.08972i
$178$	10.5255	−	39.2816i	0.788917	−	2.94428i
$179$	16.6060	−	4.44956i	1.24119	−	0.332575i	0.422262	−	0.906474i	$-0.361236\pi$
$179$	16.6060	−	4.44956i	1.24119	−	0.332575i	0.818926	+	0.573899i	$0.194570\pi$
$180$	2.69824	−	0.0513293i	0.201115	−	0.00382586i
$181$	8.08598	−	3.34932i	0.601026	−	0.248953i	−0.0613601	−	0.998116i	$-0.519544\pi$
$181$	8.08598	−	3.34932i	0.601026	−	0.248953i	0.662386	+	0.749163i	$0.269544\pi$
$182$	−23.4498	−	29.5491i	−1.73822	−	2.19033i
$183$	4.55216	+	9.01374i	0.336506	+	0.666315i
$184$	6.41787	+	0.844929i	0.473132	+	0.0622890i
$185$	0.881804	−	0.236279i	0.0648315	−	0.0173716i
$186$	−18.4692	−	12.0883i	−1.35423	−	0.886355i
$187$	1.31424	+	5.30601i	0.0961071	+	0.388014i
$188$	−3.65345	+	13.6349i	−0.266455	+	0.994424i
$189$	19.3489	−	7.18993i	1.40743	−	0.522990i
$190$	−2.68740	+	1.11316i	−0.194965	+	0.0807571i
$191$	11.7866	+	20.4150i	0.852848	+	1.47718i	0.878627	+	0.477508i	$0.158460\pi$
$191$	11.7866	+	20.4150i	0.852848	+	1.47718i	−0.0257795	+	0.999668i	$0.508207\pi$
$192$	17.2937	+	8.32480i	1.24807	+	0.600791i
$193$	−5.80324	−	7.56293i	−0.417726	−	0.544391i	0.536334	−	0.844006i	$-0.319809\pi$
$193$	−5.80324	−	7.56293i	−0.417726	−	0.544391i	−0.954060	+	0.299614i	$0.903142\pi$
$194$	−31.0425	+	12.8582i	−2.22872	+	0.923166i
$195$	0.607578	−	0.962208i	0.0435096	−	0.0689051i
$196$	30.6509	+	30.6509i	2.18935	+	2.18935i
$197$	−12.8393	+	9.85193i	−0.914761	+	0.701921i	−0.954791	−	0.297277i	$-0.903921\pi$
$197$	−12.8393	+	9.85193i	−0.914761	+	0.701921i	0.0400297	+	0.999198i	$0.487255\pi$
$198$	7.26500	−	7.54677i	0.516301	−	0.536326i
$199$	−8.46862	+	1.11491i	−0.600324	+	0.0790342i	−0.424563	−	0.905399i	$-0.639572\pi$
$199$	−8.46862	+	1.11491i	−0.600324	+	0.0790342i	−0.175762	+	0.984433i	$0.556239\pi$
$200$	27.1641	−	27.1641i	1.92079	−	1.92079i
$201$	3.17953	−	16.8190i	0.224266	−	1.18632i
$202$	−12.9599	−	22.4473i	−0.911858	−	1.57938i
$203$	21.5286	−	21.5286i	1.51101	−	1.51101i
$204$	−33.2750	−	11.6485i	−2.32972	−	0.815559i
$205$	0.597504	+	0.344969i	0.0417315	+	0.0240937i
$206$	33.0576	+	19.0858i	2.30323	+	1.32977i
$207$	1.29652	+	2.15014i	0.0901146	+	0.149445i
$208$	32.4653	−	19.4571i	2.25106	−	1.34910i
$209$	−3.07505	+	7.42384i	−0.212706	+	0.513518i
$210$	−1.43228	+	2.97539i	−0.0988368	+	0.205321i
$211$	0.686744	−	5.21634i	0.0472774	−	0.359107i	−0.951412	−	0.307922i	$-0.900367\pi$
$211$	0.686744	−	5.21634i	0.0472774	−	0.359107i	0.998689	−	0.0511859i	$-0.0163001\pi$
$212$	−6.60072	+	24.6342i	−0.453339	+	1.69189i
$213$	−7.62119	−	15.0907i	−0.522195	−	1.03400i
$214$	−36.4810	+	4.80281i	−2.49379	+	0.328314i
$215$	0.215449	+	1.63650i	0.0146935	+	0.111608i
$216$	8.96193	+	39.1778i	0.609782	+	2.66571i
$217$	16.6466	−	9.61094i	1.13005	−	0.652433i
$218$	−6.33789	−	8.25970i	−0.429256	−	0.559417i
$219$	0.233669	−	4.17282i	0.0157899	−	0.281973i
$220$			1.19264i			0.0804080i
$221$	−11.8182	+	9.01829i	−0.794980	+	0.606636i
$222$	10.3026	+	20.4001i	0.691463	+	1.36917i
$223$	14.5283	+	8.38795i	0.972890	+	0.561698i	0.900116	−	0.435650i	$-0.143481\pi$
$223$	14.5283	+	8.38795i	0.972890	+	0.561698i	0.0727741	+	0.997348i	$0.476815\pi$
$224$	−38.3826	+	29.4520i	−2.56455	+	1.96785i
$225$	14.8072	+	1.66356i	0.987149	+	0.110904i
$226$	8.97009	−	3.71553i	0.596682	−	0.247154i
$227$	20.3168	−	2.67475i	1.34847	−	0.177530i	0.578539	−	0.815655i	$-0.303623\pi$
$227$	20.3168	−	2.67475i	1.34847	−	0.177530i	0.769933	+	0.638125i	$0.220290\pi$
$228$	−29.2007	−	42.8148i	−1.93387	−	2.83548i
$229$			12.5667i			0.830431i	0.909723	+	0.415215i	$0.136294\pi$
$229$			12.5667i			0.830431i	−0.909723	+	0.415215i	$0.863706\pi$
$230$	−0.387981	−	0.103959i	−0.0255827	−	0.00685486i
$231$	3.01422	+	8.60973i	0.198321	+	0.566478i
$232$	36.0869	+	47.0294i	2.36922	+	3.08763i
$233$	−5.16362	−	2.13884i	−0.338280	−	0.140120i	0.207076	−	0.978325i	$-0.433605\pi$
$233$	−5.16362	−	2.13884i	−0.338280	−	0.140120i	−0.545356	+	0.838205i	$0.683605\pi$
$234$	26.6887	+	9.96527i	1.74469	+	0.651450i
$235$	0.199394	−	0.481380i	0.0130070	−	0.0314018i
$236$	−20.7190	+	35.8864i	−1.34869	+	2.33601i
$237$	0.343528	−	6.13467i	0.0223145	−	0.398489i
$238$	31.0772	−	29.9184i	2.01444	−	1.93932i
$239$	10.1727	+	10.1727i	0.658015	+	0.658015i	0.954910	−	0.296895i	$-0.0959513\pi$
$239$	10.1727	+	10.1727i	0.658015	+	0.658015i	−0.296895	+	0.954910i	$0.595951\pi$
$240$	−2.77221	−	1.81444i	−0.178946	−	0.117121i
$241$	−6.37175	−	4.88922i	−0.410441	−	0.314942i	0.382822	−	0.923822i	$-0.374952\pi$
$241$	−6.37175	−	4.88922i	−0.410441	−	0.314942i	−0.793262	+	0.608880i	$0.791619\pi$
$242$	−17.2124	−	17.2124i	−1.10645	−	1.10645i
$243$	−9.70946	+	12.1953i	−0.622862	+	0.782332i
$244$	3.75672	−	28.5351i	0.240499	−	1.82677i
$245$	−0.974030	−	1.26938i	−0.0622285	−	0.0810977i
$246$	−5.39614	+	16.4075i	−0.344045	+	1.04611i
$247$	−21.8501	+	0.356628i	−1.39029	+	0.0226917i
$248$	14.3221	+	34.5767i	0.909457	+	2.19562i
$249$	−3.78412	−	1.82159i	−0.239809	−	0.115438i
$250$	−3.79490	+	2.91193i	−0.240010	+	0.184166i
$251$	−2.52233	+	1.45627i	−0.159208	+	0.0919188i	−0.577487	−	0.816400i	$-0.695967\pi$
$251$	−2.52233	+	1.45627i	−0.159208	+	0.0919188i	0.418279	+	0.908318i	$0.362633\pi$
$252$	−57.1073	−	14.1434i	−3.59742	−	0.890950i
$253$	−0.960932	+	0.554794i	−0.0604133	+	0.0348796i
$254$	−39.0773	−	10.4707i	−2.45193	−	0.656992i
$255$	1.16161	+	0.586608i	0.0727431	+	0.0367348i
$256$	4.72408	+	8.18234i	0.295255	+	0.511397i
$257$	2.56985	+	9.59082i	0.160303	+	0.598259i	0.998593	+	0.0530338i	$0.0168891\pi$
$257$	2.56985	+	9.59082i	0.160303	+	0.598259i	−0.838290	+	0.545225i	$0.816444\pi$
$258$	−39.0010	+	13.6541i	−2.42809	+	0.850064i
$259$	−19.9016			−1.23663
$260$	−2.97591	+	1.28996i	−0.184558	+	0.0799997i
$261$	−5.52746	+	22.3184i	−0.342141	+	1.38148i
$262$	24.8673	+	32.4077i	1.53631	+	2.00215i
$263$	2.72924	+	10.1856i	0.168292	+	0.628074i	0.997597	+	0.0692784i	$0.0220697\pi$
$263$	2.72924	+	10.1856i	0.168292	+	0.628074i	−0.829305	+	0.558796i	$0.811264\pi$
$264$	−17.3860	+	3.63051i	−1.07003	+	0.223443i
$265$	0.360247	−	0.869714i	0.0221298	−	0.0534261i
$266$	62.8704	−	8.27704i	3.85483	−	0.507498i
$267$	−26.2788	−	4.96784i	−1.60823	−	0.304027i
$268$	−34.4972	+	34.4972i	−2.10725	+	2.10725i
$269$	−1.56214	−	11.8656i	−0.0952453	−	0.723460i	−0.970723	−	0.240201i	$-0.922787\pi$
$269$	−1.56214	−	11.8656i	−0.0952453	−	0.723460i	0.875478	−	0.483258i	$-0.160547\pi$
$270$	−0.234025	−	2.48278i	−0.0142423	−	0.151097i
$271$	−3.12922	+	0.838472i	−0.190087	+	0.0509336i	−0.352606	−	0.935772i	$-0.614705\pi$
$271$	−3.12922	+	0.838472i	−0.190087	+	0.0509336i	0.162520	+	0.986705i	$0.448038\pi$
$272$	25.6916	+	34.8325i	1.55778	+	2.11203i
$273$	−18.2230	+	16.8334i	−1.10291	+	1.01880i
$274$	−27.9573	+	27.9573i	−1.68896	+	1.68896i
$275$	−0.859502	+	6.52857i	−0.0518300	+	0.393688i
$276$	0.400107	−	7.14505i	0.0240836	−	0.430081i
$277$	−2.05774	+	0.270907i	−0.123638	+	0.0162772i	−0.192091	−	0.981377i	$-0.561527\pi$
$277$	−2.05774	+	0.270907i	−0.123638	+	0.0162772i	0.0684533	+	0.997654i	$0.478194\pi$
$278$	−1.41984	+	3.42780i	−0.0851564	+	0.205586i
$279$	−7.01773	+	12.7073i	−0.420140	+	0.760763i
$280$	4.84873	−	2.79941i	0.289767	−	0.167297i
$281$	−14.6687			−0.875061			−0.437530	−	0.899204i	$-0.644147\pi$
$281$	−14.6687			−0.875061			−0.437530	+	0.899204i	$0.644147\pi$
$282$	12.8169	+	2.42296i	0.763235	+	0.144285i
$283$	−1.99760	+	15.1733i	−0.118745	+	0.901959i	0.823566	+	0.567220i	$0.191981\pi$
$283$	−1.99760	+	15.1733i	−0.118745	+	0.901959i	−0.942311	+	0.334738i	$0.891352\pi$
$284$	−6.28946	+	47.7732i	−0.373211	+	2.83482i
$285$	0.862352	+	1.70754i	0.0510813	+	0.101146i
$286$	−4.62747	+	11.7086i	−0.273628	+	0.692344i
$287$	−10.6354	−	10.6354i	−0.627790	−	0.627790i
$288$	13.3374	−	34.0152i	0.785913	−	2.00437i
$289$	−11.5555	−	12.4687i	−0.679738	−	0.733455i
$290$	−1.83915	−	3.18550i	−0.107999	−	0.187059i
$291$	9.96111	+	19.7240i	0.583931	+	1.15624i
$292$	−7.25156	+	9.45042i	−0.424366	+	0.553044i
$293$	−3.07829	+	11.4883i	−0.179836	+	0.671156i	0.815842	+	0.578275i	$0.196274\pi$
$293$	−3.07829	+	11.4883i	−0.179836	+	0.671156i	−0.995677	+	0.0928804i	$0.970393\pi$
$294$	26.1227	−	30.3650i	1.52351	−	1.77092i
$295$	0.931135	−	1.21348i	0.0542128	−	0.0706515i
$296$	5.05776	−	38.4175i	0.293976	−	2.23297i
$297$	−5.30688	−	4.39262i	−0.307937	−	0.254886i
$298$	33.2846	−	33.2846i	1.92812	−	1.92812i
$299$	−2.42368	−	1.79768i	−0.140165	−	0.103962i
$300$	−32.1948	−	27.6969i	−1.85877	−	1.59908i
$301$	4.69682	−	35.6759i	0.270720	−	2.05632i
$302$	26.7823	−	46.3884i	1.54115	−	2.66935i
$303$	−14.0824	+	9.60450i	−0.809010	+	0.551764i
$304$			63.6248i			3.64913i
$305$	−0.274962	+	1.02617i	−0.0157443	+	0.0587585i
$306$	−8.43098	+	31.4679i	−0.481967	+	1.79890i
$307$	−0.174869	−	0.174869i	−0.00998031	−	0.00998031i	0.702099	−	0.712079i	$-0.252246\pi$
$307$	−0.174869	−	0.174869i	−0.00998031	−	0.00998031i	−0.712079	+	0.702099i	$0.752246\pi$
$308$	6.72925	−	25.1139i	0.383435	−	1.43100i
$309$	10.8882	−	22.6188i	0.619405	−	1.28674i
$310$	−0.601047	−	2.24314i	−0.0341372	−	0.127402i
$311$	−9.87709	−	4.09123i	−0.560079	−	0.231992i	0.0846407	−	0.996412i	$-0.473026\pi$
$311$	−9.87709	−	4.09123i	−0.560079	−	0.231992i	−0.644719	+	0.764419i	$0.723026\pi$
$312$	−27.8635	−	39.4552i	−1.57746	−	2.23371i
$313$	−26.5765	+	11.0083i	−1.50219	+	0.622228i	−0.973929	−	0.226854i	$-0.927156\pi$
$313$	−26.5765	+	11.0083i	−1.50219	+	0.622228i	−0.528262	+	0.849081i	$0.677156\pi$
$314$	29.9564	+	17.2953i	1.69054	+	0.976032i
$315$	2.02176	+	0.792734i	0.113913	+	0.0446655i
$316$	−10.6609	+	13.8935i	−0.599721	+	0.781572i
$317$	10.0447	−	24.2500i	0.564166	−	1.36202i	−0.342242	−	0.939612i	$-0.611186\pi$
$317$	10.0447	−	24.2500i	0.564166	−	1.36202i	0.906407	−	0.422405i	$-0.138814\pi$
$318$	23.1564	+	4.37758i	1.29855	+	0.245482i
$319$	−9.81491	−	2.62990i	−0.549529	−	0.147246i
$320$	0.772727	+	1.86553i	0.0431968	+	0.104286i
$321$	4.94633	+	23.6872i	0.276077	+	1.32209i
$322$	7.58328	+	4.37821i	0.422600	+	0.243988i
$323$	−2.79062	−	24.8336i	−0.155274	−	1.38178i
$324$	42.4479	−	13.1233i	2.35821	−	0.729071i
$325$	−17.2199	+	4.91661i	−0.955188	+	0.272725i
$326$	−24.6710	−	10.2191i	−1.36640	−	0.565983i
$327$	−5.10446	+	4.56310i	−0.282278	+	0.252340i
$328$	23.2332	−	17.8275i	1.28284	−	0.984357i
$329$	−6.91480	+	9.01155i	−0.381226	+	0.496823i
$330$	1.09898	−	0.0825347i	0.0604969	−	0.00454338i
$331$	11.9892	+	20.7660i	0.658988	+	1.14140i	0.980878	+	0.194623i	$0.0623484\pi$
$331$	11.9892	+	20.7660i	0.658988	+	1.14140i	−0.321890	+	0.946777i	$0.604318\pi$
$332$	5.98503	+	10.3664i	0.328471	+	0.568929i
$333$	12.8707	−	7.76101i	0.705312	−	0.425301i
$334$	−14.2236	+	18.5366i	−0.778282	+	1.01428i
$335$	1.42867	−	1.09626i	0.0780566	−	0.0598949i
$336$	48.1378	+	53.8489i	2.62613	+	2.93770i
$337$	17.1994	+	7.12422i	0.936910	+	0.388081i	0.798296	−	0.602266i	$-0.205735\pi$
$337$	17.1994	+	7.12422i	0.936910	+	0.388081i	0.138614	+	0.990346i	$0.455735\pi$
$338$	−34.2206	+	1.11737i	−1.86136	+	0.0607768i
$339$	−2.87838	−	5.69948i	−0.156332	−	0.309553i
$340$	−1.79317	−	3.24677i	−0.0972484	−	0.176081i
$341$	−5.55569	−	3.20758i	−0.300858	−	0.173700i
$342$	−37.4317	+	29.8704i	−2.02407	+	1.61521i
$343$	2.70684	+	6.53490i	0.146156	+	0.352851i
$344$	67.6741	+	18.1332i	3.64874	+	0.977677i
$345$	−0.0490669	+	0.259553i	−0.00264168	+	0.0139739i
$346$	9.56968	−	23.1032i	0.514469	−	1.24204i
$347$	2.85158	−	3.71625i	0.153081	−	0.199499i	−0.710517	−	0.703680i	$-0.751539\pi$
$347$	2.85158	−	3.71625i	0.153081	−	0.199499i	0.863598	+	0.504181i	$0.168206\pi$
$348$	48.8578	−	43.6761i	2.61905	−	2.34128i
$349$	10.7691	+	6.21754i	0.576456	+	0.332817i	0.759724	−	0.650246i	$-0.225334\pi$
$349$	10.7691	+	6.21754i	0.576456	+	0.332817i	−0.183268	+	0.983063i	$0.558667\pi$
$350$	48.0097	−	19.8863i	2.56623	−	1.06297i
$351$	5.22068	−	17.9929i	0.278659	−	0.960390i
$352$	14.9175	+	6.17902i	0.795103	+	0.329343i
$353$	−0.959077	−	3.57932i	−0.0510465	−	0.190508i	0.935694	−	0.352812i	$-0.114774\pi$
$353$	−0.959077	−	3.57932i	−0.0510465	−	0.190508i	−0.986741	+	0.162303i	$0.948108\pi$
$354$	34.5020	+	16.6084i	1.83376	+	0.882729i
$355$	0.460339	−	1.71801i	0.0244323	−	0.0911824i
$356$	53.9001	+	53.9001i	2.85670	+	2.85670i
$357$	−21.1507	−	18.9066i	−1.11941	−	1.00064i
$358$	−11.7191	+	43.7361i	−0.619371	+	2.31153i
$359$			31.5100i			1.66303i	0.555499	+	0.831517i	$0.312527\pi$
$359$			31.5100i			1.66303i	−0.555499	+	0.831517i	$0.687473\pi$
$360$	−2.04408	+	3.70129i	−0.107732	+	0.195075i
$361$	8.86749	−	15.3589i	0.466710	−	0.808366i
$362$	−3.00878	+	22.8540i	−0.158138	+	1.20118i
$363$	−10.4399	+	12.1354i	−0.547955	+	0.636942i
$364$	69.9432	−	10.3721i	3.66602	−	0.543644i
$365$	0.310911	−	0.310911i	0.0162738	−	0.0162738i
$366$	−26.5541	−	1.48697i	−1.38801	−	0.0777253i
$367$	0.977891	−	7.42782i	0.0510455	−	0.387729i	−0.946783	−	0.321871i	$-0.895688\pi$
$367$	0.977891	−	7.42782i	0.0510455	−	0.387729i	0.997829	−	0.0658581i	$-0.0209785\pi$
$368$	−5.34838	+	6.97014i	−0.278803	+	0.363344i
$369$	11.0256	+	2.73064i	0.573971	+	0.142152i
$370$	−0.622301	+	2.32246i	−0.0323519	+	0.120739i
$371$	−12.4930	+	16.2812i	−0.648606	+	0.845280i
$372$	36.9318	−	18.6515i	1.91482	−	0.967034i
$373$	1.02659	+	1.77810i	0.0531547	+	0.0920666i	0.891378	−	0.453260i	$-0.149739\pi$
$373$	1.02659	+	1.77810i	0.0531547	+	0.0920666i	−0.838224	+	0.545326i	$0.816406\pi$
$374$	−13.8332	−	3.98972i	−0.715298	−	0.206303i
$375$	2.09651	+	2.34523i	0.108263	+	0.121107i
$376$	−15.6383	−	15.6383i	−0.806485	−	0.806485i
$377$	−4.05357	−	27.3349i	−0.208769	−	1.40782i
$378$	−9.08067	+	53.6013i	−0.467059	+	2.75695i
$379$	−0.875343	+	6.64889i	−0.0449633	+	0.341530i	0.954146	+	0.299341i	$0.0967667\pi$
$379$	−0.875343	+	6.64889i	−0.0449633	+	0.341530i	−0.999110	+	0.0421897i	$0.986567\pi$
$380$	0.711664	−	5.40562i	0.0365076	−	0.277303i
$381$	−4.94200	+	26.1421i	−0.253186	+	1.33930i
$382$	−62.0861			−3.17660
$383$	−27.4337	+	15.8389i	−1.40180	+	0.809328i	−0.994577	−	0.104002i	$-0.966835\pi$
$383$	−27.4337	+	15.8389i	−1.40180	+	0.809328i	−0.407220	+	0.913330i	$0.633502\pi$
$384$	−6.90764	+	4.71117i	−0.352504	+	0.240416i
$385$	−0.367262	+	0.886649i	−0.0187174	+	0.0451878i
$386$	24.8925	−	3.27716i	1.26699	−	0.166803i
$387$	10.8750	+	24.9039i	0.552806	+	1.26594i
$388$	8.22050	−	62.4409i	0.417333	−	3.16996i
$389$	−4.92013	+	4.92013i	−0.249460	+	0.249460i	−0.820749	−	0.571289i	$-0.806444\pi$
$389$	−4.92013	+	4.92013i	−0.249460	+	0.249460i	0.571289	+	0.820749i	$0.306444\pi$
$390$	1.39460	+	2.65294i	0.0706181	+	0.134337i
$391$	1.78183	−	2.95512i	0.0901109	−	0.149447i
$392$	−65.5995	+	17.5773i	−3.31328	+	0.887790i
$393$	20.0278	−	17.9038i	1.01027	−	0.903125i
$394$	−5.56350	−	42.2590i	−0.280285	−	2.12898i
$395$	0.457085	−	0.457085i	0.0229984	−	0.0229984i
$396$	5.44171	+	18.8658i	0.273456	+	0.948044i
$397$	−25.9249	+	3.41308i	−1.30114	+	0.171298i	−0.749063	−	0.662498i	$-0.769496\pi$
$397$	−25.9249	+	3.41308i	−1.30114	+	0.171298i	−0.552072	+	0.833796i	$0.686163\pi$
$398$	8.60914	−	20.7843i	0.431537	−	1.04182i
$399$	−8.52437	−	40.8220i	−0.426752	−	2.04365i
$400$	13.4946	+	50.3624i	0.674728	+	2.51812i
$401$	−9.93910	−	12.9529i	−0.496335	−	0.646836i	0.476270	−	0.879299i	$-0.341988\pi$
$401$	−9.93910	−	12.9529i	−0.496335	−	0.646836i	−0.972605	+	0.232463i	$0.925322\pi$
$402$	34.1754	+	29.4008i	1.70451	+	1.46638i
$403$	1.99463	−	17.3320i	0.0993597	−	0.863369i
$404$	48.5839			2.41714
$405$	−1.61665	+	0.275748i	−0.0803321	+	0.0137021i
$406$	20.7541	+	77.4552i	1.03001	+	3.84404i
$407$	3.32101	+	5.75215i	0.164616	+	0.285124i
$408$	41.8719	−	36.0238i	2.07297	−	1.78344i
$409$	4.84903	+	1.29929i	0.239769	+	0.0642459i	0.376702	−	0.926334i	$-0.377058\pi$
$409$	4.84903	+	1.29929i	0.239769	+	0.0642459i	−0.136933	+	0.990580i	$0.543725\pi$
$410$	−1.57368	+	0.908566i	−0.0777186	+	0.0448709i
$411$	19.7109	+	16.9571i	0.972269	+	0.836434i
$412$	−61.9628	+	35.7743i	−3.05269	+	1.76247i
$413$	−26.4540	+	20.2989i	−1.30172	+	0.998843i
$414$	−6.61161	+	0.125775i	−0.324943	+	0.00618148i
$415$	−0.169084	−	0.408204i	−0.00830000	−	0.0200380i
$416$	0.716609	+	43.9056i	0.0351347	+	2.15265i
$417$	2.31784	+	0.762294i	0.113505	+	0.0373297i
$418$	−12.8836	−	16.7902i	−0.630156	−	0.821236i
$419$	3.09213	−	23.4871i	0.151060	−	1.14742i	−0.733062	−	0.680162i	$-0.761909\pi$
$419$	3.09213	−	23.4871i	0.151060	−	1.14742i	0.884122	−	0.467256i	$-0.154757\pi$
$420$	−3.48752	−	5.11349i	−0.170174	−	0.249513i
$421$	−6.42988	−	6.42988i	−0.313373	−	0.313373i	0.532842	−	0.846215i	$-0.321124\pi$
$421$	−6.42988	−	6.42988i	−0.313373	−	0.313373i	−0.846215	+	0.532842i	$0.821124\pi$
$422$	10.9936	+	8.43568i	0.535160	+	0.410643i
$423$	0.957709	−	8.52450i	0.0465654	−	0.414475i
$424$	−28.2539	−	28.2539i	−1.37213	−	1.37213i
$425$	−7.47603	−	19.0652i	−0.362641	−	0.924799i
$426$	44.4567	+	2.48947i	2.15393	+	0.120615i
$427$	11.5799	−	20.0571i	0.560393	−	0.970629i
$428$	26.3935	−	63.7196i	1.27578	−	3.08000i
$429$	7.90626	+	2.45799i	0.381718	+	0.118673i
$430$	−4.01641	−	1.66365i	−0.193688	−	0.0802284i
$431$	4.51450	+	5.88341i	0.217456	+	0.283394i	0.889325	−	0.457276i	$-0.151175\pi$
$431$	4.51450	+	5.88341i	0.217456	+	0.283394i	−0.671869	+	0.740670i	$0.734508\pi$
$432$	−52.1310	−	16.0528i	−2.50816	−	0.772341i
$433$	10.2324	+	2.74177i	0.491739	+	0.131761i	0.496163	−	0.868229i	$-0.334742\pi$
$433$	10.2324	+	2.74177i	0.491739	+	0.131761i	−0.00442441	+	0.999990i	$0.501408\pi$
$434$			50.6258i			2.43012i
$435$	−1.99843	+	1.36298i	−0.0958175	+	0.0653498i
$436$	19.3475	−	2.54715i	0.926579	−	0.121986i
$437$	4.68645	−	1.94119i	0.224183	−	0.0928598i
$438$	9.21008	+	6.02808i	0.440075	+	0.288033i
$439$	−4.71299	+	3.61640i	−0.224939	+	0.172601i	−0.715083	−	0.699040i	$-0.753611\pi$
$439$	−4.71299	+	3.61640i	−0.224939	+	0.172601i	0.490144	+	0.871642i	$0.336944\pi$
$440$	−1.61823	−	0.934284i	−0.0771459	−	0.0445402i
$441$	−21.1995	−	15.6355i	−1.00950	−	0.744545i
$442$	−5.00667	−	38.8322i	−0.238143	−	1.84706i
$443$		−	12.4902i		−	0.593430i	−0.954966	−	0.296715i	$-0.904109\pi$
$443$		−	12.4902i		−	0.593430i	0.954966	−	0.296715i	$-0.0958911\pi$
$444$	−42.7704	−	2.39505i	−2.02979	−	0.113664i
$445$	−1.71285	−	2.23222i	−0.0811966	−	0.105818i
$446$	−38.2642	+	22.0918i	−1.81186	+	1.04608i
$447$	−23.4669	−	20.1883i	−1.10995	−	0.954876i
$448$	−5.74571	−	43.6430i	−0.271459	−	2.06194i
$449$	26.0575	−	3.43053i	1.22973	−	0.161897i	0.512470	−	0.858705i	$-0.328731\pi$
$449$	26.0575	−	3.43053i	1.22973	−	0.161897i	0.717257	+	0.696809i	$0.245397\pi$
$450$	−23.2938	+	31.5831i	−1.09808	+	1.48884i
$451$	−1.29921	+	4.84870i	−0.0611772	+	0.228317i
$452$	−2.37541	+	18.0430i	−0.111730	+	0.848673i
$453$	−31.7400	−	15.2789i	−1.49127	−	0.717865i
$454$	−20.6539	+	49.8629i	−0.969335	+	2.34018i
$455$	−2.60962	+	0.0425931i	−0.122341	+	0.00199680i
$456$	80.9679	−	6.08078i	3.79167	−	0.284758i
$457$	31.0427	+	17.9225i	1.45212	+	0.838381i	0.998602	−	0.0528672i	$-0.0168360\pi$
$457$	31.0427	+	17.9225i	1.45212	+	0.838381i	0.453516	+	0.891248i	$0.350169\pi$
$458$	−28.6634	−	16.5488i	−1.33935	−	0.773276i
$459$	21.0515	+	3.97913i	0.982601	+	0.185730i
$460$	0.532367	−	0.532367i	0.0248217	−	0.0248217i
$461$	−11.4384	−	19.8119i	−0.532740	−	0.922733i	−0.999269	−	0.0382273i	$-0.987829\pi$
$461$	−11.4384	−	19.8119i	−0.532740	−	0.922733i	0.466529	−	0.884506i	$-0.345504\pi$
$462$	−23.6073	−	4.46282i	−1.09831	−	0.207629i
$463$	3.00996	−	3.00996i	0.139885	−	0.139885i	−0.633697	−	0.773581i	$-0.718463\pi$
$463$	3.00996	−	3.00996i	0.139885	−	0.139885i	0.773581	+	0.633697i	$0.218463\pi$
$464$	−79.7671	+	10.5015i	−3.70310	+	0.487522i
$465$	−1.44142	+	0.504635i	−0.0668443	+	0.0234019i
$466$	11.6784	−	8.96111i	0.540989	−	0.415116i
$467$	1.71866	+	1.71866i	0.0795302	+	0.0795302i	0.745753	−	0.666223i	$-0.232090\pi$
$467$	1.71866	+	1.71866i	0.0795302	+	0.0795302i	−0.666223	+	0.745753i	$0.732090\pi$
$468$	−41.1888	+	33.9835i	−1.90395	+	1.57089i
$469$	−36.2694	+	15.0233i	−1.67477	+	0.693711i
$470$	0.835403	+	1.08872i	0.0385343	+	0.0502189i
$471$	9.86670	−	20.4968i	0.454634	−	0.944444i
$472$	−32.4614	−	56.2248i	−1.49416	−	2.58796i
$473$	−11.0952	+	4.59576i	−0.510156	+	0.211313i
$474$	13.5402	+	8.86217i	0.621922	+	0.407053i
$475$	7.79134	−	29.0777i	0.357491	−	1.33418i
$476$	19.4402	+	78.4860i	0.891039	+	3.59740i
$477$	1.73030	−	15.4013i	0.0792251	−	0.705176i
$478$	−36.5990	+	9.80667i	−1.67400	+	0.448547i
$479$	31.6161	+	4.16234i	1.44458	+	0.190182i	0.811702	−	0.584071i	$-0.198541\pi$
$479$	31.6161	+	4.16234i	1.44458	+	0.190182i	0.632876	+	0.774253i	$0.281874\pi$
$480$	3.43114	−	1.73281i	0.156609	−	0.0790916i
$481$	−10.7609	+	14.5082i	−0.490656	+	0.661515i
$482$	19.5427	−	8.09483i	0.890144	−	0.368710i
$483$	2.49770	−	5.18865i	0.113649	−	0.236092i
$484$	44.0716	−	11.8090i	2.00326	−	0.536771i
$485$	−0.601676	+	2.24549i	−0.0273207	+	0.101962i
$486$	−15.0302	−	38.2061i	−0.681784	−	1.73307i
$487$	−1.01300	−	7.69448i	−0.0459033	−	0.348670i	−0.998949	−	0.0458427i	$-0.985403\pi$
$487$	−1.01300	−	7.69448i	−0.0459033	−	0.348670i	0.953045	−	0.302828i	$-0.0979306\pi$
$488$	35.7747	+	27.4509i	1.61944	+	1.24264i
$489$	−5.48649	+	16.6823i	−0.248108	+	0.754398i
$490$	4.17801	−	0.550046i	0.188743	−	0.0248485i
$491$	−1.17913	−	4.40058i	−0.0532135	−	0.198596i	0.934202	−	0.356746i	$-0.116114\pi$
$491$	−1.17913	−	4.40058i	−0.0532135	−	0.198596i	−0.987415	+	0.158150i	$0.949447\pi$
$492$	−21.5766	−	24.1364i	−0.972748	−	1.08815i
$493$	30.6736	−	7.59752i	1.38147	−	0.342175i
$494$	27.9605	−	50.3076i	1.25800	−	2.26345i
$495$	−0.108250	−	0.716634i	−0.00486550	−	0.0322103i
$496$	−50.3604	−	6.63007i	−2.26125	−	0.297699i
$497$	−19.3870	+	33.5793i	−0.869627	+	1.50624i
$498$	9.13809	−	6.23239i	0.409488	−	0.279280i
$499$	22.3131	+	9.24237i	0.998869	+	0.413745i	0.821382	−	0.570378i	$-0.193203\pi$
$499$	22.3131	+	9.24237i	0.998869	+	0.413745i	0.177487	+	0.984123i	$0.443203\pi$
$500$	−1.17028	−	8.88917i	−0.0523366	−	0.397536i
$501$	12.8566	+	8.41474i	0.574390	+	0.375943i
$502$		−	7.67091i		−	0.342370i
$503$	−16.4251	+	21.4056i	−0.732359	+	0.954429i	−0.999959	−	0.00910159i	$-0.997103\pi$
$503$	−16.4251	+	21.4056i	−0.732359	+	0.954429i	0.267600	+	0.963530i	$0.413770\pi$
$504$	63.9266	−	66.4060i	2.84752	−	2.95796i
$505$	−1.77798	−	0.234076i	−0.0791191	−	0.0104162i
$506$		−	2.92239i		−	0.129916i
$507$	2.41813	+	22.3864i	0.107393	+	0.994217i
$508$	53.6198	−	53.6198i	2.37899	−	2.37899i
$509$	−24.2601	+	6.50047i	−1.07531	+	0.288128i	−0.752673	−	0.658395i	$-0.771236\pi$
$509$	−24.2601	+	6.50047i	−1.07531	+	0.288128i	−0.322636	+	0.946523i	$0.604569\pi$
$510$	−2.86770	+	1.87704i	−0.126984	+	0.0831165i
$511$	−8.30120	+	4.79270i	−0.367224	+	0.212017i
$512$	−34.5389			−1.52642
$513$	21.4322	+	23.0761i	0.946254	+	1.01883i
$514$	−25.2599	−	6.76837i	−1.11417	−	0.298540i
$515$	2.43996	−	1.01066i	0.107517	−	0.0445351i
$516$	14.3873	−	76.1055i	0.633365	−	3.35036i
$517$	3.75849	+	0.494814i	0.165298	+	0.0217619i
$518$	26.2080	−	45.3936i	1.15151	−	1.99448i
$519$	−15.6221	−	5.13783i	−0.685735	−	0.225526i
$520$	0.580983	−	5.04836i	0.0254778	−	0.221385i
$521$	−36.0735	+	14.9421i	−1.58041	+	0.654626i	−0.988478	−	0.151364i	$-0.951633\pi$
$521$	−36.0735	+	14.9421i	−1.58041	+	0.654626i	−0.591929	+	0.805990i	$0.701633\pi$
$522$	−43.6272	−	41.9983i	−1.90951	−	1.83822i
$523$	14.5572	+	8.40463i	0.636544	+	0.367509i	0.783282	−	0.621667i	$-0.213544\pi$
$523$	14.5572	+	8.40463i	0.636544	+	0.367509i	−0.146738	+	0.989175i	$0.546877\pi$
$524$	−75.9119	+	9.99399i	−3.31623	+	0.436589i
$525$	−15.4057	−	30.5048i	−0.672359	−	1.33134i
$526$	−26.8265	−	7.18815i	−1.16969	−	0.313418i
$527$	19.9471	+	0.378970i	0.868911	+	0.0165082i
$528$	7.53109	−	22.8991i	0.327749	−	0.996555i
$529$	−21.5397	−	5.77155i	−0.936509	−	0.250937i
$530$	1.50933	+	1.96700i	0.0655611	+	0.0854409i
$531$	9.19238	−	23.4439i	0.398915	−	1.01738i
$532$	−45.4859	+	109.813i	−1.97206	+	4.76098i
$533$	−13.5038	+	2.00252i	−0.584916	+	0.0867387i
$534$	45.9371	−	53.3973i	1.98789	−	2.31073i
$535$	−1.27290	+	2.20472i	−0.0550322	+	0.0953185i
$536$	−19.7831	−	73.8314i	−0.854499	−	3.18903i
$537$	29.2588	+	5.53119i	1.26261	+	0.238689i
$538$	29.1215	+	12.0625i	1.25552	+	0.520052i
$539$	7.08669	−	9.23556i	0.305245	−	0.397804i
$540$	4.24955	+	1.94697i	0.182871	+	0.0837841i
$541$	2.68086	−	1.11045i	0.115259	−	0.0477418i	−0.324309	−	0.945951i	$-0.605132\pi$
$541$	2.68086	−	1.11045i	0.115259	−	0.0477418i	0.439568	+	0.898209i	$0.355132\pi$
$542$	2.20833	−	8.24162i	0.0948561	−	0.354008i
$543$	15.1355	+	0.847557i	0.649528	+	0.0363721i
$544$	−49.9006	+	5.60747i	−2.13947	+	0.240418i
$545$	−0.720316			−0.0308549
$546$	−14.3978	−	63.7325i	−0.616169	−	2.72750i
$547$	−9.84321	+	23.7636i	−0.420865	+	1.01606i	0.561228	+	0.827661i	$0.310329\pi$
$547$	−9.84321	+	23.7636i	−0.420865	+	1.01606i	−0.982093	+	0.188397i	$0.939671\pi$
$548$	−19.1808	−	71.5835i	−0.819361	−	3.05790i
$549$	0.332662	+	17.4871i	0.0141977	+	0.746331i
$550$	−13.7592	−	10.5578i	−0.586693	−	0.450185i
$551$	42.9165	+	17.7766i	1.82831	+	0.757309i
$552$	9.38126	+	6.14011i	0.399293	+	0.261341i
$553$	−12.2040	+	7.04599i	−0.518967	+	0.299626i
$554$	2.09189	−	5.05026i	0.0888758	−	0.214565i
$555$	1.55369	+	0.293715i	0.0659504	+	0.0124675i
$556$	−4.23357	−	5.51730i	−0.179543	−	0.233986i
$557$	27.9648	−	7.49314i	1.18491	−	0.317495i	0.388036	−	0.921644i	$-0.373154\pi$
$557$	27.9648	−	7.49314i	1.18491	−	0.317495i	0.796871	+	0.604150i	$0.206487\pi$
$558$	−19.7425	−	32.7407i	−0.835767	−	1.38602i
$559$	−23.4679	−	22.7142i	−0.992587	−	0.960707i
$560$			7.59888i			0.321111i
$561$	−1.93512	+	9.26814i	−0.0817008	+	0.391301i
$562$	19.3169	−	33.4579i	0.814834	−	1.41133i
$563$	10.6088	+	2.84262i	0.447107	+	0.119802i	0.475345	−	0.879799i	$-0.342323\pi$
$563$	10.6088	+	2.84262i	0.447107	+	0.119802i	−0.0282384	+	0.999601i	$0.508990\pi$
$564$	−15.9450	+	18.5345i	−0.671407	+	0.780443i
$565$	0.173861	−	0.648860i	0.00731441	−	0.0272977i
$566$	−31.9782	−	24.5377i	−1.34414	−	1.03140i
$567$	35.5983	+	3.31511i	1.49499	+	0.139221i
$568$	−59.8936	−	45.9580i	−2.51308	−	1.92835i
$569$	−38.9740	+	10.4430i	−1.63387	+	0.437795i	−0.955035	−	0.296492i	$-0.904183\pi$
$569$	−38.9740	+	10.4430i	−1.63387	+	0.437795i	−0.678839	+	0.734287i	$0.737516\pi$
$570$	−5.03035	−	0.281689i	−0.210698	−	0.0117986i
$571$	17.8070	+	42.9898i	0.745198	+	1.79907i	0.583293	+	0.812262i	$0.301764\pi$
$571$	17.8070	+	42.9898i	0.745198	+	1.79907i	0.161905	+	0.986806i	$0.448236\pi$
$572$	−14.6693	−	18.4848i	−0.613356	−	0.772890i
$573$	3.05776	+	40.7153i	0.127740	+	1.70091i
$574$	38.2640	−	10.2528i	1.59711	−	0.427944i
$575$	3.29786	−	2.53053i	0.137530	−	0.105531i
$576$	20.7353	+	25.9841i	0.863971	+	1.08267i
$577$	−12.3704	+	12.3704i	−0.514985	+	0.514985i	−0.916050	−	0.401065i	$-0.868640\pi$
$577$	−12.3704	+	12.3704i	−0.514985	+	0.514985i	0.401065	+	0.916050i	$0.368640\pi$
$578$	43.6572	−	9.93725i	1.81590	−	0.413335i
$579$	−3.37508	−	16.1628i	−0.140264	−	0.671702i
$580$	6.89456			0.286281
$581$	1.25724	+	9.54972i	0.0521593	+	0.396189i
$582$	−58.1061	−	3.25381i	−2.40858	−	0.134875i
$583$	6.79049	+	0.893985i	0.281233	+	0.0370251i
$584$	−7.14204	−	17.2424i	−0.295540	−	0.713496i
$585$	1.67108	−	1.04522i	0.0690906	−	0.0432144i
$586$	−22.1500	−	22.1500i	−0.915010	−	0.915010i
$587$	8.80651	+	5.08444i	0.363483	+	0.209857i	0.670608	−	0.741812i	$-0.266033\pi$
$587$	8.80651	+	5.08444i	0.363483	+	0.209857i	−0.307124	+	0.951669i	$0.599367\pi$
$588$	24.8085	+	70.8620i	1.02308	+	2.92230i
$589$	23.2670	+	17.8534i	0.958702	+	0.735638i
$590$	1.54163	+	3.72183i	0.0634681	+	0.153225i
$591$	−27.4389	+	5.72974i	−1.12869	+	0.235690i
$592$	41.7234	+	32.0155i	1.71482	+	1.31583i
$593$			37.4518i			1.53796i	0.639273	+	0.768980i	$0.279235\pi$
$593$			37.4518i			1.53796i	−0.639273	+	0.768980i	$0.720765\pi$
$594$	17.0077	−	6.31993i	0.697833	−	0.259310i
$595$	−0.333291	−	2.96594i	−0.0136636	−	0.121592i
$596$	22.8357	+	85.2239i	0.935386	+	3.49091i
$597$	−14.0541	−	4.62213i	−0.575196	−	0.189171i
$598$	7.29202	−	3.16084i	0.298193	−	0.129256i
$599$	−26.2698			−1.07335			−0.536677	−	0.843788i	$-0.680321\pi$
$599$	−26.2698			−1.07335			−0.536677	+	0.843788i	$0.680321\pi$
$600$	62.8007	−	21.9862i	2.56383	−	0.897584i
$601$	−26.9286	−	3.54522i	−1.09844	−	0.144612i	−0.440551	−	0.897728i	$-0.645217\pi$
$601$	−26.9286	−	3.54522i	−1.09844	−	0.144612i	−0.657889	+	0.753115i	$0.728550\pi$
$602$	75.1881	+	57.6938i	3.06444	+	2.35142i
$603$	17.5975	−	23.8598i	0.716626	−	0.971646i
$604$	50.2005	+	86.9498i	2.04263	+	3.53794i
$605$	−1.66974	+	0.219826i	−0.0678848	+	0.00893720i
$606$	−3.36216	−	44.7684i	−0.136578	−	1.81859i
$607$	−1.29861	−	9.86393i	−0.0527090	−	0.400365i	−0.997380	−	0.0723444i	$-0.976952\pi$
$607$	−1.29861	−	9.86393i	−0.0527090	−	0.400365i	0.944671	−	0.328020i	$-0.106381\pi$
$608$	−63.9259	−	36.9076i	−2.59254	−	1.49680i
$609$	49.7720	−	17.4250i	2.01686	−	0.706095i
$610$	−1.97851	−	1.97851i	−0.0801075	−	0.0801075i
$611$	2.83049	+	9.91346i	0.114509	+	0.401056i
$612$	−43.1794	−	43.1773i	−1.74543	−	1.74534i
$613$	3.03491	+	11.3264i	0.122579	+	0.457470i	0.999742	−	0.0227227i	$-0.00723348\pi$
$613$	3.03491	+	11.3264i	0.122579	+	0.457470i	−0.877163	+	0.480192i	$0.840567\pi$
$614$	0.629141	−	0.168578i	0.0253901	−	0.00680325i
$615$	0.673331	+	0.987254i	0.0271513	+	0.0398099i
$616$	28.8040	+	28.8040i	1.16055	+	1.16055i
$617$	13.0449	−	17.0005i	0.525170	−	0.684415i	−0.453169	−	0.891425i	$-0.649707\pi$
$617$	13.0449	−	17.0005i	0.525170	−	0.684415i	0.978339	+	0.207010i	$0.0663732\pi$
$618$	37.2528	+	54.6210i	1.49853	+	2.19718i
$619$	38.7931	+	16.0686i	1.55923	+	0.645853i	0.984955	−	0.172812i	$-0.0552854\pi$
$619$	38.7931	+	16.0686i	1.55923	+	0.645853i	0.574271	+	0.818665i	$0.305285\pi$
$620$	4.20451	+	1.12660i	0.168857	+	0.0452452i
$621$	0.408106	+	4.32962i	0.0163767	+	0.173742i
$622$	22.3386	−	17.1410i	0.895697	−	0.687293i
$623$	23.4731	+	56.6691i	0.940430	+	2.27040i
$624$	65.2840	−	5.97576i	2.61345	−	0.239222i
$625$		−	24.5030i		−	0.980121i
$626$	9.88907	−	75.1150i	0.395247	−	3.00220i
$627$	−10.3763	+	9.27581i	−0.414389	+	0.370440i
$628$	−56.1499	+	32.4182i	−2.24063	+	1.29363i
$629$	−17.6894	−	10.6661i	−0.705323	−	0.425283i
$630$	−4.47057	+	3.56751i	−0.178112	+	0.142133i
$631$	10.1603	+	17.5982i	0.404477	+	0.700575i	0.994260	−	0.106987i	$-0.0341203\pi$
$631$	10.1603	+	17.5982i	0.404477	+	0.700575i	−0.589784	+	0.807561i	$0.700787\pi$
$632$	−10.4999	−	25.3489i	−0.417662	−	1.00833i
$633$	4.99058	−	7.62493i	0.198358	−	0.303064i
$634$	42.0843	+	54.8453i	1.67138	+	2.17818i
$635$	−2.22061	+	1.70394i	−0.0881223	+	0.0676186i
$636$	−28.8080	+	33.4864i	−1.14231	+	1.32782i
$637$	30.7097	+	7.69377i	1.21676	+	0.304838i
$638$	18.9236	−	18.9236i	0.749192	−	0.749192i
$639$	−0.556939	−	29.2767i	−0.0220322	−	1.15817i
$640$	−0.872130	−	0.114818i	−0.0344740	−	0.00453858i
$641$	−1.29339	−	9.82427i	−0.0510858	−	0.388035i	−0.997819	−	0.0660151i	$-0.978971\pi$
$641$	−1.29339	−	9.82427i	−0.0510858	−	0.388035i	0.946733	−	0.322020i	$-0.104362\pi$
$642$	−60.5420	−	19.9112i	−2.38940	−	0.785831i
$643$	−0.290458	+	0.378532i	−0.0114545	+	0.0149279i	−0.799046	−	0.601271i	$-0.794661\pi$
$643$	−0.290458	+	0.378532i	−0.0114545	+	0.0149279i	0.787591	+	0.616198i	$0.211328\pi$
$644$	−14.2140	+	8.20646i	−0.560110	+	0.323380i
$645$	−0.893192	+	2.71585i	−0.0351694	+	0.106936i
$646$	60.3179	+	26.3377i	2.37318	+	1.03624i
$647$	11.1111	−	19.2451i	0.436824	−	0.756602i	−0.560618	−	0.828074i	$-0.689437\pi$
$647$	11.1111	−	19.2451i	0.436824	−	0.756602i	0.997443	+	0.0714726i	$0.0227698\pi$
$648$	−15.4463	+	67.8754i	−0.606787	+	2.66640i
$649$	10.2814	+	4.25870i	0.403580	+	0.167168i
$650$	11.4622	−	45.7515i	0.449585	−	1.79452i
$651$	33.1998	−	2.49334i	1.30120	−	0.0977217i
$652$	39.7099	−	30.4704i	1.55516	−	1.19331i
$653$	−19.3683	−	2.54989i	−0.757942	−	0.0997850i	−0.258357	−	0.966050i	$-0.583181\pi$
$653$	−19.3683	−	2.54989i	−0.757942	−	0.0997850i	−0.499585	+	0.866265i	$0.666514\pi$
$654$	−3.68603	−	17.6518i	−0.144135	−	0.690242i
$655$	2.82623			0.110430
$656$	5.18791	+	39.4061i	0.202554	+	1.53855i
$657$	3.49954	−	6.33674i	0.136530	−	0.247220i
$658$	−11.4485	−	27.6391i	−0.446309	−	1.07748i
$659$	−2.75075	−	4.76444i	−0.107154	−	0.185596i	0.807462	−	0.589919i	$-0.200840\pi$
$659$	−2.75075	−	4.76444i	−0.107154	−	0.185596i	−0.914616	+	0.404323i	$0.867507\pi$
$660$	−0.895983	+	1.86129i	−0.0348761	+	0.0724507i
$661$	12.9394	−	22.4116i	0.503283	−	0.871711i	−0.496710	−	0.867917i	$-0.665459\pi$
$661$	12.9394	−	22.4116i	0.503283	−	0.871711i	0.999993	−	0.00379484i	$-0.00120794\pi$
$662$	−63.1535			−2.45453
$663$	−25.2191	+	5.19581i	−0.979429	+	0.201789i
$664$	−18.7540			−0.727797
$665$	2.19368	−	3.79956i	0.0850672	−	0.147341i
$666$	0.752888	+	39.5772i	0.0291738	+	1.53359i
$667$	3.20721	+	5.55506i	0.124184	+	0.215093i
$668$	−16.7595	−	40.4611i	−0.648446	−	1.56549i
$669$	16.3721	+	24.0051i	0.632981	+	0.928092i
$670$	0.619069	+	4.70230i	0.0239167	+	0.181666i
$671$	−7.72945			−0.298392
$672$	−82.0277	+	17.1289i	−3.16429	+	0.660761i
$673$	−45.5152	−	5.99219i	−1.75448	−	0.230982i	−0.816422	−	0.577455i	$-0.804046\pi$
$673$	−45.5152	−	5.99219i	−1.75448	−	0.230982i	−0.938060	+	0.346473i	$0.887379\pi$
$674$	−38.8992	+	29.8484i	−1.49834	+	1.14972i
$675$	21.8591	+	13.7203i	0.841355	+	0.528094i
$676$	30.2576	−	56.5964i	1.16375	−	2.17679i
$677$	25.8314	+	10.6997i	0.992781	+	0.411223i	0.819145	−	0.573587i	$-0.194448\pi$
$677$	25.8314	+	10.6997i	0.992781	+	0.411223i	0.173636	+	0.984810i	$0.444448\pi$
$678$	16.7904	+	0.940228i	0.644833	+	0.0361092i
$679$	25.3394	−	43.8891i	0.972437	−	1.68431i
$680$	5.81007	+	0.110384i	0.222806	+	0.00423303i
$681$	33.7167	+	11.0888i	1.29203	+	0.424924i
$682$	14.6324	−	8.44800i	0.560302	−	0.323491i
$683$	22.6511	−	29.5195i	0.866721	−	1.12953i	−0.123818	−	0.992305i	$-0.539514\pi$
$683$	22.6511	−	29.5195i	0.866721	−	1.12953i	0.990539	−	0.137228i	$-0.0438193\pi$
$684$	−13.4070	−	88.7560i	−0.512628	−	3.39367i
$685$	0.357053	+	2.71209i	0.0136423	+	0.103624i
$686$	−18.4700	−	2.43163i	−0.705190	−	0.0928400i
$687$	−9.44084	+	19.6122i	−0.360190	+	0.748250i
$688$	−67.2382	+	67.2382i	−2.56343	+	2.56343i
$689$	5.11386	+	17.9107i	0.194823	+	0.682345i
$690$	−0.527400	−	0.453717i	−0.0200778	−	0.0172727i
$691$	−8.38718	+	6.43571i	−0.319063	+	0.244826i	−0.755858	−	0.654735i	$-0.772780\pi$
$691$	−8.38718	+	6.43571i	−0.319063	+	0.244826i	0.436795	+	0.899561i	$0.356114\pi$
$692$	28.5341	+	37.1864i	1.08470	+	1.41361i
$693$	−1.76399	+	15.7012i	−0.0670086	+	0.596439i
$694$	4.72122	+	11.3980i	0.179215	+	0.432663i
$695$	0.128350	+	0.222309i	0.00486859	+	0.00843265i
$696$	20.9877	+	100.507i	0.795535	+	3.80970i
$697$	−3.75328	−	15.1532i	−0.142166	−	0.573968i
$698$	−28.3632	+	16.3755i	−1.07356	+	0.619822i
$699$	−6.45175	−	7.21718i	−0.244028	−	0.272979i
$700$	−12.7137	+	96.5699i	−0.480532	+	3.65000i
$701$			32.6291i			1.23238i	0.787596	+	0.616192i	$0.211325\pi$
$701$			32.6291i			1.23238i	−0.787596	+	0.616192i	$0.788675\pi$
$702$	34.1651	+	35.6023i	1.28948	+	1.34372i
$703$	−11.6200	−	28.0532i	−0.438257	−	1.05805i
$704$	−11.6553	+	8.94345i	−0.439277	+	0.337069i
$705$	0.672824	−	0.601467i	0.0253400	−	0.0226526i
$706$	9.42708	+	2.52598i	0.354793	+	0.0950664i
$707$	36.1188	+	14.9609i	1.35839	+	0.562663i
$708$	−59.2950	+	40.4406i	−2.22844	+	1.51985i
$709$	−7.84357	+	10.2219i	−0.294571	+	0.383893i	−0.917069	−	0.398729i	$-0.869451\pi$
$709$	−7.84357	+	10.2219i	−0.294571	+	0.383893i	0.622497	+	0.782622i	$0.286118\pi$
$710$	3.31240	+	3.31240i	0.124312	+	0.124312i
$711$	5.14484	−	9.31596i	0.192947	−	0.349376i
$712$	−115.358	+	30.9100i	−4.32321	+	1.15840i
$713$	1.04814	+	3.91171i	0.0392532	+	0.146495i
$714$	70.9769	−	23.3449i	2.65625	−	0.873663i
$715$	0.447781	+	0.747150i	0.0167461	+	0.0279418i
$716$	−60.0124	−	60.0124i	−2.24277	−	2.24277i
$717$	8.23361	+	23.5182i	0.307490	+	0.878303i
$718$	−71.8713	−	41.4949i	−2.68221	−	1.54858i
$719$	−4.73298	−	35.9506i	−0.176511	−	1.34073i	−0.818716	−	0.574198i	$-0.805314\pi$
$719$	−4.73298	−	35.9506i	−0.176511	−	1.34073i	0.642206	−	0.766532i	$-0.278019\pi$
$720$	−2.96333	−	4.91434i	−0.110437	−	0.183147i
$721$	−57.0815	+	7.51492i	−2.12582	+	0.279870i
$722$	23.3548	+	40.4518i	0.869177	+	1.50546i
$723$	−6.27098	−	12.4172i	−0.233220	−	0.461799i
$724$	−34.2783	−	26.3027i	−1.27394	−	0.977531i
$725$	37.7411	+	4.96870i	1.40167	+	0.184533i
$726$	−13.9315	−	39.7933i	−0.517045	−	1.47687i
$727$	28.3584			1.05176			0.525878	−	0.850560i	$-0.323737\pi$
$727$	28.3584			1.05176			0.525878	+	0.850560i	$0.323737\pi$
$728$	−40.7183	+	103.027i	−1.50912	+	3.81843i
$729$	−24.3149	+	11.7383i	−0.900551	+	0.434751i
$730$	0.299725	+	1.11859i	0.0110933	+	0.0414008i
$731$	23.2948	−	29.1931i	0.861591	−	1.07974i
$732$	27.3001	−	41.7109i	1.00904	−	1.54168i
$733$		−	26.7368i		−	0.987546i	−0.869591	−	0.493773i	$-0.835617\pi$
$733$		−	26.7368i		−	0.987546i	0.869591	−	0.493773i	$-0.164383\pi$
$734$	15.6544	+	12.0120i	0.577814	+	0.443372i
$735$	−0.566482	−	2.71280i	−0.0208950	−	0.100063i
$736$	−3.90063	−	9.41695i	−0.143779	−	0.347114i
$737$	10.3945	+	7.97598i	0.382886	+	0.293799i
$738$	−20.7478	+	21.5524i	−0.763735	+	0.793356i
$739$	−12.7544	−	7.36375i	−0.469178	−	0.270880i	0.246718	−	0.969087i	$-0.420648\pi$
$739$	−12.7544	−	7.36375i	−0.469178	−	0.270880i	−0.715895	+	0.698208i	$0.753981\pi$
$740$	−3.18676	−	3.18676i	−0.117148	−	0.117148i
$741$	−34.3682	−	15.8585i	−1.26255	−	0.582577i
$742$	−20.6841	−	49.9358i	−0.759337	−	1.83320i
$743$	−14.8446	−	1.95433i	−0.544597	−	0.0716976i	−0.146792	−	0.989167i	$-0.546895\pi$
$743$	−14.8446	−	1.95433i	−0.544597	−	0.0716976i	−0.397805	+	0.917470i	$0.630228\pi$
$744$	−3.62426	+	64.7216i	−0.132872	+	2.37281i
$745$	−0.425090	−	3.22888i	−0.0155741	−	0.118297i
$746$	−5.40757			−0.197985
$747$	−4.53718	−	5.68570i	−0.166007	−	0.208029i
$748$	19.4408	−	18.7158i	0.710825	−	0.684319i
$749$	39.2436	−	39.2436i	1.43393	−	1.43393i
$750$	−8.11009	+	1.69354i	−0.296139	+	0.0618392i
$751$	23.3601	−	17.9248i	0.852420	−	0.654085i	−0.0872424	−	0.996187i	$-0.527805\pi$
$751$	23.3601	−	17.9248i	0.852420	−	0.654085i	0.939663	+	0.342102i	$0.111139\pi$
$752$	28.9935	−	7.76880i	1.05729	−	0.283299i
$753$	−5.03049	+	0.377795i	−0.183321	+	0.0137676i
$754$	67.6863	+	26.7510i	2.46499	+	0.974213i
$755$	−1.41822	−	3.42389i	−0.0516143	−	0.124608i
$756$	−78.4989	−	64.9751i	−2.85498	−	2.36312i
$757$	5.59125	−	1.49817i	0.203217	−	0.0544519i	−0.155774	−	0.987793i	$-0.549787\pi$
$757$	5.59125	−	1.49817i	0.203217	−	0.0544519i	0.358992	+	0.933341i	$0.383121\pi$
$758$	−14.0127	−	10.7524i	−0.508966	−	0.390543i
$759$	−1.91647	+	0.143929i	−0.0695633	+	0.00522428i
$760$	6.77707	+	5.20023i	0.245830	+	0.188632i
$761$	−7.90878	+	29.5160i	−0.286693	+	1.06995i	0.660900	+	0.750474i	$0.270175\pi$
$761$	−7.90878	+	29.5160i	−0.286693	+	1.06995i	−0.947593	+	0.319479i	$0.896492\pi$
$762$	−53.1195	−	45.6982i	−1.92432	−	1.65547i
$763$	15.1679	+	4.06424i	0.549116	+	0.147135i
$764$	58.1867	−	100.782i	2.10512	−	3.64618i
$765$	1.37217	+	1.78816i	0.0496110	+	0.0646510i
$766$		−	83.4315i		−	3.01450i
$767$	0.493901	+	30.2606i	0.0178337	+	1.09265i
$768$	1.22555	+	16.3187i	0.0442234	+	0.588852i
$769$	−27.5360	+	7.37824i	−0.992972	+	0.266066i	−0.718499	−	0.695528i	$-0.755170\pi$
$769$	−27.5360	+	7.37824i	−0.992972	+	0.266066i	−0.274474	+	0.961595i	$0.588504\pi$
$770$	−1.53872	−	2.00530i	−0.0554516	−	0.0722660i
$771$	−3.19456	+	16.8985i	−0.115049	+	0.608584i
$772$	−18.0094	+	43.4785i	−0.648171	+	1.56482i
$773$	−29.7207	+	17.1593i	−1.06898	+	0.617176i	−0.927903	−	0.372822i	$-0.878390\pi$
$773$	−29.7207	+	17.1593i	−1.06898	+	0.617176i	−0.141078	+	0.989998i	$0.545057\pi$
$774$	−71.1243	−	7.99067i	−2.55651	−	0.287219i
$775$	22.2037	+	9.19709i	0.797582	+	0.330369i
$776$	78.2826	+	60.0684i	2.81018	+	2.15633i
$777$	−31.0593	−	14.9512i	−1.11425	−	0.536373i
$778$	−4.74311	−	17.7015i	−0.170049	−	0.634631i
$779$	8.78189	−	21.2014i	0.314644	−	0.759618i
$780$	−5.61344	−	0.222516i	−0.200993	−	0.00796737i
$781$	12.9406			0.463050
$782$	4.39389	+	7.95572i	0.157125	+	0.284496i
$783$	−25.3933	+	30.6786i	−0.907483	+	1.09636i
$784$	23.8564	−	89.0335i	0.852016	−	3.17977i
$785$	2.21106	−	0.915850i	0.0789160	−	0.0326881i
$786$	14.4625	+	69.2587i	0.515859	+	2.47037i
$787$	16.2470	−	21.1735i	0.579142	−	0.754753i	−0.408280	−	0.912857i	$-0.633871\pi$
$787$	16.2470	−	21.1735i	0.579142	−	0.754753i	0.987423	+	0.158104i	$0.0505380\pi$
$788$	73.8117	+	30.5738i	2.62943	+	1.08915i
$789$	−3.39268	+	17.9465i	−0.120783	+	0.638914i
$790$	0.440640	+	1.64449i	0.0156773	+	0.0585084i
$791$	−7.32212	+	12.6823i	−0.260345	+	0.450930i
$792$	−29.8608	−	7.39543i	−1.06106	−	0.262785i
$793$	−8.36013	−	19.2867i	−0.296877	−	0.684891i
$794$	26.3551	−	63.6269i	0.935308	−	2.25803i
$795$	1.21560	−	1.08668i	0.0431128	−	0.0385404i
$796$	25.6700	+	33.4539i	0.909851	+	1.18574i
$797$	−21.2195	−	5.68575i	−0.751633	−	0.201400i	−0.137391	−	0.990517i	$-0.543872\pi$
$797$	−21.2195	−	5.68575i	−0.751633	−	0.201400i	−0.614242	+	0.789117i	$0.710538\pi$
$798$	104.337	+	34.3144i	3.69347	+	1.21472i
$799$	−10.9758	+	4.30394i	−0.388297	+	0.152262i
$800$	−58.4287	−	15.6559i	−2.06577	−	0.553521i
$801$	−37.2797	−	27.4952i	−1.31721	−	0.971494i
$802$	42.6329	−	5.61272i	1.50542	−	0.198192i
$803$	2.77047	+	1.59953i	0.0977676	+	0.0564462i
$804$	−79.7543	+	27.9216i	−2.81272	+	0.984719i
$805$	0.559715	−	0.231842i	0.0197274	−	0.00817135i
$806$	36.9059	+	27.3737i	1.29996	+	0.964199i
$807$	6.47620	−	19.6916i	0.227973	−	0.693177i
$808$	−38.0593	+	65.9206i	−1.33892	+	2.31908i
$809$	−10.1547	−	1.33689i	−0.357020	−	0.0470026i	−0.0501170	−	0.998743i	$-0.515959\pi$
$809$	−10.1547	−	1.33689i	−0.357020	−	0.0470026i	−0.306903	+	0.951741i	$0.599293\pi$
$810$	1.49998	−	4.05056i	0.0527040	−	0.142322i
$811$	17.7597	−	7.35631i	0.623628	−	0.258315i	−0.0484152	−	0.998827i	$-0.515417\pi$
$811$	17.7597	−	7.35631i	0.623628	−	0.258315i	0.672043	+	0.740512i	$0.265417\pi$
$812$	−145.181	−	38.9012i	−5.09486	−	1.36516i
$813$	−5.51351	−	1.04230i	−0.193367	−	0.0365549i
$814$	−17.4935			−0.613146
$815$	−1.60003	+	0.923778i	−0.0560466	+	0.0323585i
$816$	13.9273	+	73.6622i	0.487552	+	2.57869i
$817$	53.0308	−	14.2096i	1.85531	−	0.497130i
$818$	−9.34915	+	9.34915i	−0.326885	+	0.326885i
$819$	−41.0859	+	12.5808i	−1.43566	+	0.439607i
$820$		−	3.40601i		−	0.118943i
$821$	9.24417	+	1.21702i	0.322624	+	0.0424742i	0.290099	−	0.956997i	$-0.406312\pi$
$821$	9.24417	+	1.21702i	0.322624	+	0.0424742i	0.0325249	+	0.999471i	$0.489645\pi$
$822$	−64.6345	+	22.6282i	−2.25439	+	0.789250i
$823$	2.14187	−	2.79134i	0.0746608	−	0.0972999i	−0.754530	−	0.656266i	$-0.772135\pi$
$823$	2.14187	−	2.79134i	0.0746608	−	0.0972999i	0.829191	+	0.558966i	$0.188802\pi$
$824$		−	112.098i		−	3.90513i
$825$	−6.24602	+	9.54307i	−0.217458	+	0.332247i
$826$	−11.4630	−	87.0703i	−0.398849	−	3.02956i
$827$	−30.6498	−	12.6955i	−1.06580	−	0.441467i	−0.220291	−	0.975434i	$-0.570701\pi$
$827$	−30.6498	−	12.6955i	−1.06580	−	0.441467i	−0.845505	+	0.533967i	$0.820701\pi$
$828$	5.99220	−	10.8503i	0.208243	−	0.377074i
$829$	−5.31621	+	9.20794i	−0.184639	+	0.319805i	−0.943455	−	0.331501i	$-0.892445\pi$
$829$	−5.31621	+	9.20794i	−0.184639	+	0.319805i	0.758816	+	0.651306i	$0.225778\pi$
$830$	1.15374	+	0.151892i	0.0400468	+	0.00527226i
$831$	−3.41493	−	1.12311i	−0.118462	−	0.0389601i
$832$	−34.9223	−	19.4095i	−1.21071	−	0.672903i
$833$	−5.40643	+	35.7973i	−0.187322	+	1.24030i
$834$	−4.79103	+	4.28291i	−0.165900	+	0.148305i
$835$	0.418394	+	1.56147i	0.0144791	+	0.0540368i
$836$	39.3294	−	5.17781i	1.36024	−	0.179078i
$837$	−20.4986	+	14.5594i	−0.708535	+	0.503246i
$838$	49.4997	+	37.9825i	1.70994	+	1.31208i
$839$	−5.62679	−	42.7397i	−0.194258	−	1.47554i	−0.759443	−	0.650574i	$-0.774528\pi$
$839$	−5.62679	−	42.7397i	−0.194258	−	1.47554i	0.565184	−	0.824965i	$-0.308805\pi$
$840$	9.67022	−	0.726244i	0.333654	−	0.0250578i
$841$	−7.69744	+	28.7272i	−0.265429	+	0.990594i
$842$	23.1333	−	6.19856i	0.797227	−	0.213616i
$843$	−22.8926	−	11.0200i	−0.788463	−	0.379548i
$844$	−23.9965	+	9.93968i	−0.825994	+	0.342138i
$845$	−1.37999	+	1.92543i	−0.0474731	+	0.0662367i
$846$	18.1824	+	13.4102i	0.625122	+	0.461051i
$847$	36.4007	+	4.79224i	1.25074	+	0.164663i
$848$	52.3829	−	14.0360i	1.79884	−	0.481997i
$849$	−14.5166	+	22.1794i	−0.498209	+	0.761195i
$850$	53.3310	+	8.05452i	1.82924	+	0.276268i
$851$	1.08520	−	4.05004i	0.0372003	−	0.138833i
$852$	−45.7056	+	69.8319i	−1.56585	+	2.39240i
$853$	10.9940	−	4.55386i	0.376427	−	0.155921i	−0.186445	−	0.982465i	$-0.559696\pi$
$853$	10.9940	−	4.55386i	0.376427	−	0.155921i	0.562872	+	0.826544i	$0.309696\pi$
$854$	30.4988	+	52.8255i	1.04365	+	1.80765i
$855$	0.0630187	+	3.31272i	0.00215520	+	0.113293i
$856$	65.7814	+	85.7279i	2.24836	+	2.93012i
$857$	−23.6979	+	9.81598i	−0.809504	+	0.335307i	−0.748756	−	0.662846i	$-0.769349\pi$
$857$	−23.6979	+	9.81598i	−0.809504	+	0.335307i	−0.0607477	+	0.998153i	$0.519349\pi$
$858$	−16.0180	+	14.7965i	−0.546846	+	0.505145i
$859$	10.0420	+	10.0420i	0.342630	+	0.342630i	0.857355	−	0.514725i	$-0.172106\pi$
$859$	10.0420	+	10.0420i	0.342630	+	0.342630i	−0.514725	+	0.857355i	$0.672106\pi$
$860$	6.46470	−	4.96054i	0.220445	−	0.169153i
$861$	−8.60817	−	24.5881i	−0.293366	−	0.837960i
$862$	−19.3645	+	2.54939i	−0.659559	+	0.0868326i
$863$	−22.4334	+	22.4334i	−0.763641	+	0.763641i	−0.976979	−	0.213338i	$-0.931567\pi$
$863$	−22.4334	+	22.4334i	−0.763641	+	0.763641i	0.213338	+	0.976979i	$0.431567\pi$
$864$	46.3691	−	43.0658i	1.57751	−	1.46513i
$865$	−0.865074	−	1.49835i	−0.0294134	−	0.0509455i
$866$	−19.7286	+	19.7286i	−0.670405	+	0.670405i
$867$	−8.66686	−	28.1405i	−0.294342	−	0.955700i
$868$	−82.1793	−	47.4462i	−2.78935	−	1.61043i
$869$	4.07300	+	2.35155i	0.138167	+	0.0797707i
$870$	−0.477125	−	6.35311i	−0.0161761	−	0.215391i
$871$	−8.65924	+	34.5634i	−0.293407	+	1.17114i
$872$	−11.7002	+	28.2469i	−0.396220	+	0.956560i
$873$	0.727935	+	38.2655i	0.0246369	+	1.29509i
$874$	−1.74382	+	13.2457i	−0.0589857	+	0.448041i
$875$	1.86730	−	6.96887i	0.0631264	−	0.235591i
$876$	−18.4168	+	9.30095i	−0.622247	+	0.314250i
$877$	49.1681	−	6.47310i	1.66029	−	0.218581i	0.758781	−	0.651346i	$-0.225795\pi$
$877$	49.1681	−	6.47310i	1.66029	−	0.218581i	0.901507	+	0.432765i	$0.142462\pi$
$878$	−2.04222	−	15.5122i	−0.0689217	−	0.523512i
$879$	−13.4348	+	15.6166i	−0.453145	+	0.526735i
$880$	2.19630	−	1.26803i	0.0740373	−	0.0427454i
$881$	32.5008	+	42.3558i	1.09498	+	1.42700i	0.894367	+	0.447334i	$0.147627\pi$
$881$	32.5008	+	42.3558i	1.09498	+	1.42700i	0.200612	+	0.979671i	$0.435707\pi$
$882$	63.5802	−	27.7640i	2.14086	−	0.934864i
$883$			31.0553i			1.04509i	0.852610	+	0.522547i	$0.175018\pi$
$883$			31.0553i			1.04509i	−0.852610	+	0.522547i	$0.824982\pi$
$884$	67.7273	+	28.2662i	2.27792	+	0.950694i
$885$	2.36481	−	1.19429i	0.0794921	−	0.0401455i
$886$	28.4890	+	16.4482i	0.957108	+	0.552587i
$887$	43.8775	−	33.6684i	1.47326	−	1.13047i	0.510584	−	0.859828i	$-0.329429\pi$
$887$	43.8775	−	33.6684i	1.47326	−	1.13047i	0.962679	−	0.270647i	$-0.0872375\pi$
$888$	36.7548	−	56.1563i	1.23341	−	1.88448i
$889$	56.3743	−	23.3510i	1.89073	−	0.783167i
$890$	7.34709	−	0.967263i	0.246275	−	0.0324227i
$891$	−4.98217	−	10.8422i	−0.166909	−	0.363226i
$892$		−	82.8173i		−	2.77293i
$893$	−16.7400	−	4.48546i	−0.560182	−	0.150100i
$894$	76.9507	−	26.9401i	2.57362	−	0.901011i
$895$	1.90708	+	2.48536i	0.0637467	+	0.0830763i
$896$	17.7169	+	7.33858i	0.591880	+	0.245165i
$897$	−2.43197	−	4.62634i	−0.0812013	−	0.154469i
$898$	−26.4898	+	63.9521i	−0.883977	+	2.13411i
$899$	−18.5427	+	32.1170i	−0.618435	+	1.07116i
$900$	−29.4371	−	67.4115i	−0.981237	−	2.24705i
$901$	−19.8301	+	7.77596i	−0.660637	+	0.259055i
$902$	−9.34852	−	9.34852i	−0.311272	−	0.311272i
$903$	34.1319	−	52.1488i	1.13584	−	1.73540i
$904$	−22.6207	−	17.3575i	−0.752353	−	0.577301i
$905$	1.12773	+	1.12773i	0.0374869	+	0.0374869i
$906$	76.6474	−	52.2753i	2.54644	−	1.73673i
$907$	5.32220	−	40.4261i	0.176721	−	1.34233i	−0.641367	−	0.767234i	$-0.721632\pi$
$907$	5.32220	−	40.4261i	0.176721	−	1.34233i	0.818088	−	0.575094i	$-0.195034\pi$
$908$	−61.5842	−	80.2580i	−2.04374	−	2.66346i
$909$	−29.1930	+	4.40972i	−0.968271	+	0.146261i
$910$	3.33940	−	6.00838i	0.110700	−	0.199176i
$911$	3.50037	+	8.45064i	0.115972	+	0.279982i	0.971198	−	0.238274i	$-0.0765815\pi$
$911$	3.50037	+	8.45064i	0.115972	+	0.279982i	−0.855226	+	0.518256i	$0.826582\pi$
$912$	−47.7986	+	99.2956i	−1.58277	+	3.28801i
$913$	2.55035	−	1.95696i	0.0844044	−	0.0647658i
$914$	−81.7591	+	47.2036i	−2.70435	+	1.56136i
$915$	−1.20004	+	1.39492i	−0.0396721	+	0.0461148i
$916$	53.7264	−	31.0189i	1.77517	−	1.02489i
$917$	−59.5129	−	15.9464i	−1.96529	−	0.526597i
$918$	−36.7983	+	42.7764i	−1.21453	+	1.41183i
$919$	16.8674	+	29.2151i	0.556403	+	0.963719i	0.997793	+	0.0664031i	$0.0211523\pi$
$919$	16.8674	+	29.2151i	0.556403	+	0.963719i	−0.441390	+	0.897316i	$0.645514\pi$
$920$	0.305296	+	1.13938i	0.0100653	+	0.0375642i
$921$	−0.141537	−	0.404280i	−0.00466379	−	0.0133215i
$922$	60.2521			1.98430
$923$	13.9964	+	32.2896i	0.460699	+	1.06283i
$924$	29.3690	−	34.1385i	0.966169	−	1.12307i
$925$	−15.1478	−	19.7410i	−0.498057	−	0.649080i
$926$	2.90167	+	10.8292i	0.0953547	+	0.355869i
$927$	33.9851	−	27.1200i	1.11622	−	0.890739i
$928$	35.7203	−	86.2365i	1.17258	−	2.83085i
$929$	−34.3058	+	4.51645i	−1.12554	+	0.148180i	−0.670230	−	0.742154i	$-0.733804\pi$
$929$	−34.3058	+	4.51645i	−1.12554	+	0.148180i	−0.455309	+	0.890334i	$0.650471\pi$
$930$	0.747155	−	3.95228i	0.0245002	−	0.129600i
$931$	−37.6312	+	37.6312i	−1.23331	+	1.23331i
$932$	3.60141	+	27.3554i	0.117968	+	0.896056i
$933$	−12.3411	−	13.8052i	−0.404028	−	0.451962i
$934$	−6.18337	+	1.65683i	−0.202326	+	0.0542131i
$935$	−0.801629	+	0.591262i	−0.0262161	+	0.0193363i
$936$	−13.8440	−	82.5083i	−0.452506	−	2.69687i
$937$	4.06041	−	4.06041i	0.132648	−	0.132648i	−0.637665	−	0.770313i	$-0.720100\pi$
$937$	4.06041	−	4.06041i	0.132648	−	0.132648i	0.770313	+	0.637665i	$0.220100\pi$
$938$	13.4958	−	102.511i	0.440654	−	3.34710i
$939$	−49.7465	−	2.78569i	−1.62342	−	0.0909077i
$940$	−2.55022	+	0.335742i	−0.0831789	+	0.0109507i
$941$	−7.99989	+	19.3134i	−0.260789	+	0.629600i	−0.998988	−	0.0449831i	$-0.985677\pi$
$941$	−7.99989	+	19.3134i	−0.260789	+	0.629600i	0.738199	+	0.674583i	$0.235677\pi$
$942$	33.7580	+	49.4969i	1.09990	+	1.61269i
$943$	2.74428	−	1.58441i	0.0893660	−	0.0515955i
$944$	88.1150			2.86790
$945$	2.55970	+	2.75604i	0.0832671	+	0.0896540i
$946$	4.12849	−	31.3590i	0.134229	−	1.01957i
$947$	−4.29690	+	32.6382i	−0.139631	+	1.06060i	0.767887	+	0.640586i	$0.221308\pi$
$947$	−4.29690	+	32.6382i	−0.139631	+	1.06060i	−0.907517	+	0.420014i	$0.862025\pi$
$948$	−27.0755	+	13.6738i	−0.879370	+	0.444104i
$949$	−0.994665	+	8.64298i	−0.0322882	+	0.280563i
$950$	56.0631	+	56.0631i	1.81893	+	1.81893i
$951$	33.8942	−	30.2995i	1.09909	−	0.982529i
$952$	−121.722	−	35.1066i	−3.94503	−	1.13781i
$953$	0.451538	+	0.782087i	0.0146268	+	0.0253343i	0.873246	−	0.487279i	$-0.162011\pi$
$953$	0.451538	+	0.782087i	0.0146268	+	0.0253343i	−0.858619	+	0.512614i	$0.828677\pi$
$954$	32.8502	+	24.2283i	1.06357	+	0.784420i
$955$	−2.61497	+	3.40790i	−0.0846185	+	0.110277i
$956$	18.3815	−	68.6007i	0.594501	−	2.21871i
$957$	−13.3419	−	11.4779i	−0.431281	−	0.371027i
$958$	−51.1285	+	66.6320i	−1.65189	+	2.15278i
$959$	7.78382	−	59.1240i	0.251353	−	1.90921i
$960$	−0.195541	+	3.49194i	−0.00631106	+	0.112702i
$961$	5.36436	−	5.36436i	0.173044	−	0.173044i
$962$	−18.9208	−	43.6501i	−0.610032	−	1.40734i
$963$	−10.0758	+	40.6833i	−0.324687	+	1.31100i
$964$	−5.17518	+	39.3094i	−0.166681	+	1.26607i
$965$	0.868550	−	1.50437i	0.0279596	−	0.0484275i
$966$	8.54564	+	12.5298i	0.274951	+	0.403140i
$967$			48.4893i			1.55931i	0.626209	+	0.779655i	$0.284606\pi$
$967$			48.4893i			1.55931i	−0.626209	+	0.779655i	$0.715394\pi$
$968$	−18.5016	+	69.0490i	−0.594665	+	2.21932i
$969$	14.3013	−	40.8529i	0.459423	−	1.31238i
$970$	−4.32940	−	4.32940i	−0.139009	−	0.139009i
$971$	−0.210627	+	0.786069i	−0.00675933	+	0.0252262i	−0.969223	−	0.246184i	$-0.920823\pi$
$971$	−0.210627	+	0.786069i	−0.00675933	+	0.0252262i	0.962464	+	0.271410i	$0.0874899\pi$
$972$	76.1050	+	11.4085i	2.44107	+	0.365929i
$973$	−1.44838	−	5.40542i	−0.0464329	−	0.173290i
$974$	18.8844	+	7.82216i	0.605094	+	0.250638i
$975$	−30.5678	−	5.26350i	−0.978952	−	0.168567i
$976$	−56.5427	+	23.4208i	−1.80989	+	0.749680i
$977$	31.7769	+	18.3464i	1.01663	+	0.586953i	0.913127	−	0.407676i	$-0.133661\pi$
$977$	31.7769	+	18.3464i	1.01663	+	0.586953i	0.103505	+	0.994629i	$0.466994\pi$
$978$	−30.8256	−	34.4827i	−0.985693	−	1.10263i
$979$	12.4621	−	16.2409i	0.398289	−	0.519060i
$980$	−3.02274	+	7.29753i	−0.0965578	+	0.233111i
$981$	−11.3943	+	3.28661i	−0.363793	+	0.104933i
$982$	11.5901	+	3.10555i	0.369854	+	0.0991021i
$983$	−3.06738	−	7.40532i	−0.0978343	−	0.236193i	0.867383	−	0.497641i	$-0.165800\pi$
$983$	−3.06738	−	7.40532i	−0.0978343	−	0.236193i	−0.965218	+	0.261448i	$0.915800\pi$
$984$	49.6518	−	10.3682i	1.58284	−	0.330526i
$985$	−2.55392	−	1.47450i	−0.0813745	−	0.0469816i
$986$	−23.0642	+	79.9684i	−0.734513	+	2.54671i
$987$	−17.5616	+	8.86902i	−0.558990	+	0.282304i
$988$	55.4583	+	92.5355i	1.76436	+	2.94394i
$989$	7.00404	+	2.90117i	0.222716	+	0.0922518i
$990$	1.77712	+	0.696812i	0.0564807	+	0.0221461i
$991$	−29.6655	+	22.7631i	−0.942355	+	0.723094i	−0.960947	−	0.276733i	$-0.910748\pi$
$991$	−29.6655	+	22.7631i	−0.942355	+	0.723094i	0.0185920	+	0.999827i	$0.494082\pi$
$992$	35.8747	−	46.7528i	1.13902	−	1.48440i
$993$	3.11033	+	41.4153i	0.0987034	+	1.31427i
$994$	−51.0608	−	88.4399i	−1.61955	−	2.80514i
$995$	−0.778244	−	1.34796i	−0.0246720	−	0.0427331i
$996$	1.55268	+	20.6745i	0.0491985	+	0.655097i
$997$	30.8372	−	40.1878i	0.976623	−	1.27276i	0.0145710	−	0.999894i	$-0.495362\pi$
$997$	30.8372	−	40.1878i	0.976623	−	1.27276i	0.962052	−	0.272866i	$-0.0879716\pi$
$998$	−50.4645	+	38.7228i	−1.59743	+	1.22575i
$999$	25.9172	−	2.44293i	0.819983	−	0.0772908i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	663.2.cf.a.110.4	✓	640
3.2	odd	2	inner	663.2.cf.a.110.77	yes	640
13.11	odd	12		663.2.ck.a.518.77	yes	640
17.15	even	8		663.2.ck.a.32.4	yes	640
39.11	even	12		663.2.ck.a.518.4	yes	640
51.32	odd	8		663.2.ck.a.32.77	yes	640
221.219	odd	24	inner	663.2.cf.a.440.77	yes	640
663.440	even	24	inner	663.2.cf.a.440.4	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
663.2.cf.a.110.4	✓	640	1.1	even	1	trivial
663.2.cf.a.110.77	yes	640	3.2	odd	2	inner
663.2.cf.a.440.4	yes	640	663.440	even	24	inner
663.2.cf.a.440.77	yes	640	221.219	odd	24	inner
663.2.ck.a.32.4	yes	640	17.15	even	8
663.2.ck.a.32.77	yes	640	51.32	odd	8
663.2.ck.a.518.4	yes	640	39.11	even	12
663.2.ck.a.518.77	yes	640	13.11	odd	12

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:	\( N \)	\(=\)	\( 663 = 3 \cdot 13 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	663.cf (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.31688 + 2.28090i) q^{2} +(1.56064 + 0.751258i) q^{3} +(-2.46834 - 4.27530i) q^{4} +(0.0697335 + 0.168352i) q^{5} +(-3.76873 + 2.57036i) q^{6} +(-0.518512 - 3.93849i) q^{7} +7.73453 q^{8} +(1.87122 + 2.34489i) q^{9} +O(q^{10})\)	\(q+(-1.31688 + 2.28090i) q^{2} +(1.56064 + 0.751258i) q^{3} +(-2.46834 - 4.27530i) q^{4} +(0.0697335 + 0.168352i) q^{5} +(-3.76873 + 2.57036i) q^{6} +(-0.518512 - 3.93849i) q^{7} +7.73453 q^{8} +(1.87122 + 2.34489i) q^{9} +(-0.475824 - 0.0626434i) q^{10} +(-1.05182 + 0.807087i) q^{11} +(-0.640355 - 8.52658i) q^{12} +(-3.15150 - 1.75158i) q^{13} +(9.66614 + 4.00384i) q^{14} +(-0.0176463 + 0.315125i) q^{15} +(-5.24875 + 9.09111i) q^{16} +(1.64992 - 3.77859i) q^{17} +(-7.81265 + 1.18013i) q^{18} +(5.24893 - 3.03047i) q^{19} +(0.547627 - 0.713681i) q^{20} +(2.14961 - 6.53612i) q^{21} +(-0.455771 - 3.46193i) q^{22} +(0.829769 + 0.109241i) q^{23} +(12.0708 + 5.81063i) q^{24} +(3.51205 - 3.51205i) q^{25} +(8.14533 - 4.88165i) q^{26} +(1.15869 + 5.06532i) q^{27} +(-15.5584 + 11.9383i) q^{28} +(4.66570 + 6.08045i) q^{29} +(-0.695531 - 0.455231i) q^{30} +(1.85172 + 4.47044i) q^{31} +(-6.08943 - 10.5472i) q^{32} +(-2.24784 + 0.469390i) q^{33} +(6.44586 + 8.73925i) q^{34} +(0.626894 - 0.361937i) q^{35} +(5.40630 - 13.7880i) q^{36} +(0.653919 - 4.96701i) q^{37} +15.9631i q^{38} +(-3.60249 - 5.10118i) q^{39} +(0.539356 + 1.30212i) q^{40} +(3.00383 - 2.30492i) q^{41} +(12.0775 + 13.5103i) q^{42} +(8.74960 + 2.34445i) q^{43} +(6.04678 + 2.50466i) q^{44} +(-0.264280 + 0.478541i) q^{45} +(-1.34187 + 1.74876i) q^{46} +(-2.02188 - 2.02188i) q^{47} +(-15.0212 + 10.2448i) q^{48} +(-8.48139 + 2.27258i) q^{49} +(3.38570 + 12.6356i) q^{50} +(5.41363 - 4.65753i) q^{51} +(0.290477 + 17.7971i) q^{52} +(-3.65296 - 3.65296i) q^{53} +(-13.0794 - 4.02755i) q^{54} +(-0.209221 - 0.120794i) q^{55} +(-4.01045 - 30.4624i) q^{56} +(10.4684 - 0.786186i) q^{57} +(-20.0131 + 2.63477i) q^{58} +(-4.19695 - 7.26933i) q^{59} +(1.39081 - 0.702393i) q^{60} +(4.62532 + 3.54913i) q^{61} +(-12.6351 - 1.66344i) q^{62} +(8.26510 - 8.58565i) q^{63} +11.0812 q^{64} +(0.0751156 - 0.652704i) q^{65} +(1.88950 - 5.74524i) q^{66} +(-2.55776 - 9.54569i) q^{67} +(-20.2272 + 2.27298i) q^{68} +(1.21291 + 0.793858i) q^{69} +1.90651i q^{70} +(-7.74367 - 5.94192i) q^{71} +(14.4730 + 18.1366i) q^{72} +(-0.923397 - 2.22928i) q^{73} +(10.4681 + 8.03248i) q^{74} +(8.11953 - 2.84261i) q^{75} +(-25.9123 - 14.9605i) q^{76} +(3.72409 + 3.72409i) q^{77} +(16.3793 - 1.49928i) q^{78} +(-1.35753 - 3.27737i) q^{79} +(-1.89652 - 0.249681i) q^{80} +(-1.99705 + 8.77564i) q^{81} +(1.30161 + 9.88674i) q^{82} -2.42471 q^{83} +(-33.2498 + 6.94317i) q^{84} +(0.751187 + 0.0142716i) q^{85} +(-16.8696 + 16.8696i) q^{86} +(2.71350 + 12.9946i) q^{87} +(-8.13530 + 6.24244i) q^{88} +(-14.9146 + 3.99637i) q^{89} +(-0.743480 - 1.23298i) q^{90} +(-5.26448 + 13.3204i) q^{91} +(-1.58112 - 3.81715i) q^{92} +(-0.468583 + 8.36788i) q^{93} +(7.27430 - 1.94914i) q^{94} +(0.876210 + 0.672340i) q^{95} +(-1.57976 - 21.0352i) q^{96} +(10.1212 + 7.76626i) q^{97} +(5.98543 - 22.3379i) q^{98} +(-3.86072 - 0.956158i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 4 q^{3} - 304 q^{4} - 16 q^{7} - 4 q^{9}+O(q^{10}) \) 640 * q - 4 * q^3 - 304 * q^4 - 16 * q^7 - 4 * q^9	\( 640 q - 4 q^{3} - 304 q^{4} - 16 q^{7} - 4 q^{9} - 88 q^{10} + 16 q^{12} - 36 q^{15} - 288 q^{16} - 24 q^{19} + 32 q^{21} - 8 q^{22} - 8 q^{24} + 32 q^{25} - 64 q^{27} + 8 q^{28} + 32 q^{30} - 32 q^{31} - 48 q^{33} + 32 q^{34} - 20 q^{36} - 112 q^{37} - 12 q^{39} + 32 q^{40} + 44 q^{42} - 40 q^{43} + 56 q^{45} + 32 q^{46} - 68 q^{48} - 40 q^{49} - 64 q^{51} + 32 q^{52} + 104 q^{54} - 4 q^{57} - 48 q^{58} - 8 q^{61} + 16 q^{63} + 480 q^{64} - 120 q^{66} - 64 q^{67} - 24 q^{69} - 208 q^{72} - 96 q^{73} - 56 q^{75} - 72 q^{76} + 164 q^{78} - 64 q^{79} - 48 q^{81} + 8 q^{82} - 32 q^{84} - 8 q^{85} + 68 q^{87} - 104 q^{88} + 16 q^{90} + 96 q^{91} - 28 q^{93} - 56 q^{94} + 40 q^{96} + 64 q^{97} + 52 q^{99}+O(q^{100}) \) 640 * q - 4 * q^3 - 304 * q^4 - 16 * q^7 - 4 * q^9 - 88 * q^10 + 16 * q^12 - 36 * q^15 - 288 * q^16 - 24 * q^19 + 32 * q^21 - 8 * q^22 - 8 * q^24 + 32 * q^25 - 64 * q^27 + 8 * q^28 + 32 * q^30 - 32 * q^31 - 48 * q^33 + 32 * q^34 - 20 * q^36 - 112 * q^37 - 12 * q^39 + 32 * q^40 + 44 * q^42 - 40 * q^43 + 56 * q^45 + 32 * q^46 - 68 * q^48 - 40 * q^49 - 64 * q^51 + 32 * q^52 + 104 * q^54 - 4 * q^57 - 48 * q^58 - 8 * q^61 + 16 * q^63 + 480 * q^64 - 120 * q^66 - 64 * q^67 - 24 * q^69 - 208 * q^72 - 96 * q^73 - 56 * q^75 - 72 * q^76 + 164 * q^78 - 64 * q^79 - 48 * q^81 + 8 * q^82 - 32 * q^84 - 8 * q^85 + 68 * q^87 - 104 * q^88 + 16 * q^90 + 96 * q^91 - 28 * q^93 - 56 * q^94 + 40 * q^96 + 64 * q^97 + 52 * q^99

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