LMFDB - Embedded newform 460.2.o.b.19.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [460,2,Mod(19,460)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(460, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 15]))

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

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

chi := DirichletCharacter("460.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 460 = 2^{2} \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	460.o (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:	$3.67311849298$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$64$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			19.20
Character	$\chi$	$=$	460.19
Dual form			460.2.o.b.339.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.921514 - 1.07276i) q^{2} +(-2.25339 + 0.661656i) q^{3} +(-0.301623 + 1.97713i) q^{4} +(0.592624 - 2.15611i) q^{5} +(2.78633 + 1.80762i) q^{6} +(-0.146802 + 0.0211070i) q^{7} +(2.39893 - 1.49838i) q^{8} +(2.11623 - 1.36002i) q^{9} +O(q^{10})$	\(q+(-0.921514 - 1.07276i) q^{2} +(-2.25339 + 0.661656i) q^{3} +(-0.301623 + 1.97713i) q^{4} +(0.592624 - 2.15611i) q^{5} +(2.78633 + 1.80762i) q^{6} +(-0.146802 + 0.0211070i) q^{7} +(2.39893 - 1.49838i) q^{8} +(2.11623 - 1.36002i) q^{9} +(-2.85909 + 1.35114i) q^{10} +(-2.24820 + 4.92286i) q^{11} +(-0.628500 - 4.65481i) q^{12} +(2.35450 + 0.338526i) q^{13} +(0.157923 + 0.138033i) q^{14} +(0.0911852 + 5.25067i) q^{15} +(-3.81805 - 1.19269i) q^{16} +(1.33257 + 1.53787i) q^{17} +(-3.40910 - 1.01693i) q^{18} +(5.66127 - 6.53345i) q^{19} +(4.08414 + 1.82202i) q^{20} +(0.316837 - 0.144695i) q^{21} +(7.35279 - 2.12472i) q^{22} +(-4.51069 - 1.62900i) q^{23} +(-4.41432 + 4.96370i) q^{24} +(-4.29759 - 2.55552i) q^{25} +(-1.80655 - 2.83777i) q^{26} +(0.745040 - 0.859822i) q^{27} +(0.00254787 - 0.296612i) q^{28} +(-3.25290 - 3.75405i) q^{29} +(5.54867 - 4.93638i) q^{30} +(1.70408 - 5.80355i) q^{31} +(2.23891 + 5.19493i) q^{32} +(1.80883 - 12.5807i) q^{33} +(0.421780 - 2.84669i) q^{34} +(-0.0414896 + 0.329029i) q^{35} +(2.05062 + 4.59426i) q^{36} +(8.39355 - 5.39421i) q^{37} +(-12.2258 - 0.0525080i) q^{38} +(-5.52960 + 0.795036i) q^{39} +(-1.80900 - 6.06032i) q^{40} +(-1.10856 - 0.712428i) q^{41} +(-0.447192 - 0.206552i) q^{42} +(-2.34756 - 7.99506i) q^{43} +(-9.05501 - 5.92982i) q^{44} +(-1.67821 - 5.36879i) q^{45} +(2.40914 + 6.34003i) q^{46} +5.53769 q^{47} +(9.39271 + 0.161377i) q^{48} +(-6.69535 + 1.96593i) q^{49} +(1.21883 + 6.96523i) q^{50} +(-4.02034 - 2.58372i) q^{51} +(-1.37948 + 4.55303i) q^{52} +(0.591826 + 4.11624i) q^{53} +(-1.60895 - 0.00691021i) q^{54} +(9.28188 + 7.76476i) q^{55} +(-0.320541 + 0.270599i) q^{56} +(-8.43416 + 18.4682i) q^{57} +(-1.02959 + 6.94899i) q^{58} +(-0.0433699 - 0.00623565i) q^{59} +(-10.4087 - 1.40344i) q^{60} +(1.97470 - 6.72522i) q^{61} +(-7.79614 + 3.51999i) q^{62} +(-0.281961 + 0.244320i) q^{63} +(3.50972 - 7.18901i) q^{64} +(2.12523 - 4.87593i) q^{65} +(-15.1629 + 9.65283i) q^{66} +(7.14358 - 3.26237i) q^{67} +(-3.44249 + 2.17080i) q^{68} +(11.2422 + 0.686250i) q^{69} +(0.391203 - 0.258697i) q^{70} +(5.11304 - 2.33505i) q^{71} +(3.03886 - 6.43350i) q^{72} +(1.18782 + 1.02925i) q^{73} +(-13.5215 - 4.03342i) q^{74} +(11.3750 + 2.91507i) q^{75} +(11.2099 + 13.1637i) q^{76} +(0.226133 - 0.770139i) q^{77} +(5.94849 + 5.19929i) q^{78} +(-1.28736 + 8.95375i) q^{79} +(-4.83424 + 7.52530i) q^{80} +(-4.24497 + 9.29519i) q^{81} +(0.257290 + 1.84573i) q^{82} +(-7.44328 - 11.5820i) q^{83} +(0.190514 + 0.670070i) q^{84} +(4.10552 - 1.96179i) q^{85} +(-6.41346 + 9.88593i) q^{86} +(9.81395 + 6.30704i) q^{87} +(1.98305 + 15.1782i) q^{88} +(2.32767 + 7.92731i) q^{89} +(-4.21292 + 6.74774i) q^{90} -0.352791 q^{91} +(4.58127 - 8.42686i) q^{92} +14.2052i q^{93} +(-5.10306 - 5.94061i) q^{94} +(-10.7318 - 16.0782i) q^{95} +(-8.48240 - 10.2248i) q^{96} +(-6.73935 - 4.33112i) q^{97} +(8.27883 + 5.37086i) q^{98} +(1.93748 + 13.4755i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 6 q^{4} - 22 q^{5} + 2 q^{6} - 100 q^{9}+O(q^{10}) $ 640 * q - 6 * q^4 - 22 * q^5 + 2 * q^6 - 100 * q^9	$ 640 q - 6 q^{4} - 22 q^{5} + 2 q^{6} - 100 q^{9} - 11 q^{10} - 22 q^{14} + 2 q^{16} - 11 q^{20} - 44 q^{21} - 8 q^{24} - 38 q^{25} - 46 q^{26} - 52 q^{29} - 11 q^{30} - 44 q^{34} + 18 q^{36} - 11 q^{40} - 76 q^{41} - 154 q^{44} - 30 q^{46} - 100 q^{49} + 21 q^{50} + 178 q^{54} + 242 q^{56} - 11 q^{60} - 44 q^{61} + 6 q^{64} - 22 q^{65} + 44 q^{66} - 12 q^{69} + 22 q^{70} - 22 q^{74} + 88 q^{76} - 110 q^{80} - 252 q^{81} - 374 q^{84} + 94 q^{85} - 198 q^{86} - 44 q^{89} - 242 q^{90} - 62 q^{94} + 372 q^{96}+O(q^{100}) $ 640 * q - 6 * q^4 - 22 * q^5 + 2 * q^6 - 100 * q^9 - 11 * q^10 - 22 * q^14 + 2 * q^16 - 11 * q^20 - 44 * q^21 - 8 * q^24 - 38 * q^25 - 46 * q^26 - 52 * q^29 - 11 * q^30 - 44 * q^34 + 18 * q^36 - 11 * q^40 - 76 * q^41 - 154 * q^44 - 30 * q^46 - 100 * q^49 + 21 * q^50 + 178 * q^54 + 242 * q^56 - 11 * q^60 - 44 * q^61 + 6 * q^64 - 22 * q^65 + 44 * q^66 - 12 * q^69 + 22 * q^70 - 22 * q^74 + 88 * q^76 - 110 * q^80 - 252 * q^81 - 374 * q^84 + 94 * q^85 - 198 * q^86 - 44 * q^89 - 242 * q^90 - 62 * q^94 + 372 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/460\mathbb{Z}\right)^\times$.

$n$	$231$	$277$	$281$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{15}{22}\right)$

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 $

$2$	−0.921514	−	1.07276i	−0.651609	−	0.758555i
$2$	−0.921514	−	1.07276i	−0.651609	−	0.758555i
$3$	−2.25339	+	0.661656i	−1.30100	+	0.382007i	−0.857599	−	0.514318i	$-0.828045\pi$
$3$	−2.25339	+	0.661656i	−1.30100	+	0.382007i	−0.443397	+	0.896325i	$0.646227\pi$
$4$	−0.301623	+	1.97713i	−0.150812	+	0.988563i
$5$	0.592624	−	2.15611i	0.265030	−	0.964240i
$5$	0.592624	−	2.15611i	0.265030	−	0.964240i
$6$	2.78633	+	1.80762i	1.13751	+	0.737958i
$7$	−0.146802	+	0.0211070i	−0.0554860	+	0.00797768i	−0.170002	−	0.985444i	$-0.554377\pi$
$7$	−0.146802	+	0.0211070i	−0.0554860	+	0.00797768i	0.114516	+	0.993421i	$0.463468\pi$
$8$	2.39893	−	1.49838i	0.848149	−	0.529757i
$9$	2.11623	−	1.36002i	0.705409	−	0.453339i
$10$	−2.85909	+	1.35114i	−0.904125	+	0.427268i
$11$	−2.24820	+	4.92286i	−0.677857	+	1.48430i	0.187042	+	0.982352i	$0.440110\pi$
$11$	−2.24820	+	4.92286i	−0.677857	+	1.48430i	−0.864898	+	0.501947i	$0.832617\pi$
$12$	−0.628500	−	4.65481i	−0.181432	−	1.34373i
$13$	2.35450	+	0.338526i	0.653021	+	0.0938902i	0.460859	−	0.887473i	$-0.347541\pi$
$13$	2.35450	+	0.338526i	0.653021	+	0.0938902i	0.192161	+	0.981363i	$0.438450\pi$
$14$	0.157923	+	0.138033i	0.0422067	+	0.0368908i
$15$	0.0911852	+	5.25067i	0.0235439	+	1.35572i
$16$	−3.81805	−	1.19269i	−0.954512	−	0.298174i
$17$	1.33257	+	1.53787i	0.323196	+	0.372988i	0.893976	−	0.448115i	$-0.147905\pi$
$17$	1.33257	+	1.53787i	0.323196	+	0.372988i	−0.570780	+	0.821103i	$0.693359\pi$
$18$	−3.40910	−	1.01693i	−0.803534	−	0.239692i
$19$	5.66127	−	6.53345i	1.29878	−	1.49888i	0.551925	−	0.833894i	$-0.313893\pi$
$19$	5.66127	−	6.53345i	1.29878	−	1.49888i	0.746859	−	0.664983i	$-0.231561\pi$
$20$	4.08414	+	1.82202i	0.913242	+	0.407417i
$21$	0.316837	−	0.144695i	0.0691395	−	0.0315750i
$22$	7.35279	−	2.12472i	1.56762	−	0.452991i
$23$	−4.51069	−	1.62900i	−0.940545	−	0.339670i
$23$	−4.51069	−	1.62900i	−0.940545	−	0.339670i
$24$	−4.41432	+	4.96370i	−0.901069	+	1.01321i
$25$	−4.29759	−	2.55552i	−0.859519	−	0.511105i
$26$	−1.80655	−	2.83777i	−0.354293	−	0.556532i
$27$	0.745040	−	0.859822i	0.143383	−	0.165473i
$28$	0.00254787	−	0.296612i	0.000481502	−	0.0560545i
$29$	−3.25290	−	3.75405i	−0.604049	−	0.697109i	0.368548	−	0.929609i	$-0.379855\pi$
$29$	−3.25290	−	3.75405i	−0.604049	−	0.697109i	−0.972597	+	0.232500i	$0.925310\pi$
$30$	5.54867	−	4.93638i	1.01304	−	0.901256i
$31$	1.70408	−	5.80355i	0.306061	−	1.04235i	−0.652577	−	0.757722i	$-0.726312\pi$
$31$	1.70408	−	5.80355i	0.306061	−	1.04235i	0.958638	−	0.284627i	$-0.0918696\pi$
$32$	2.23891	+	5.19493i	0.395787	+	0.918342i
$33$	1.80883	−	12.5807i	0.314876	−	2.19001i
$34$	0.421780	−	2.84669i	0.0723346	−	0.488204i
$35$	−0.0414896	+	0.329029i	−0.00701303	+	0.0556161i
$36$	2.05062	+	4.59426i	0.341770	+	0.765710i
$37$	8.39355	−	5.39421i	1.37989	−	0.886802i	0.380611	−	0.924735i	$-0.375714\pi$
$37$	8.39355	−	5.39421i	1.37989	−	0.886802i	0.999280	+	0.0379334i	$0.0120775\pi$
$38$	−12.2258	−	0.0525080i	−1.98328	−	0.00851792i
$39$	−5.52960	+	0.795036i	−0.885445	+	0.127308i
$40$	−1.80900	−	6.06032i	−0.286028	−	0.958221i
$41$	−1.10856	−	0.712428i	−0.173128	−	0.111263i	0.451207	−	0.892419i	$-0.350994\pi$
$41$	−1.10856	−	0.712428i	−0.173128	−	0.111263i	−0.624335	+	0.781157i	$0.714630\pi$
$42$	−0.447192	−	0.206552i	−0.0690033	−	0.0318716i
$43$	−2.34756	−	7.99506i	−0.358000	−	1.21924i	−0.919941	−	0.392058i	$-0.871763\pi$
$43$	−2.34756	−	7.99506i	−0.358000	−	1.21924i	0.561941	−	0.827177i	$-0.310055\pi$
$44$	−9.05501	−	5.92982i	−1.36509	−	0.893953i
$45$	−1.67821	−	5.36879i	−0.250173	−	0.800332i
$46$	2.40914	+	6.34003i	0.355209	+	0.934787i
$47$	5.53769			0.807756			0.403878	−	0.914813i	$-0.367662\pi$
$47$	5.53769			0.807756			0.403878	+	0.914813i	$0.367662\pi$
$48$	9.39271	+	0.161377i	1.35572	+	0.0232927i
$49$	−6.69535	+	1.96593i	−0.956478	+	0.280847i
$50$	1.21883	+	6.96523i	0.172369	+	0.985032i
$51$	−4.02034	−	2.58372i	−0.562961	−	0.361793i
$52$	−1.37948	+	4.55303i	−0.191300	+	0.631392i
$53$	0.591826	+	4.11624i	0.0812935	+	0.565409i	0.989238	+	0.146318i	$0.0467422\pi$
$53$	0.591826	+	4.11624i	0.0812935	+	0.565409i	−0.907944	+	0.419091i	$0.862349\pi$
$54$	−1.60895	−	0.00691021i	−0.218950	−	0.000940360i
$55$	9.28188	+	7.76476i	1.25157	+	1.04700i
$56$	−0.320541	+	0.270599i	−0.0428342	+	0.0361603i
$57$	−8.43416	+	18.4682i	−1.11713	+	2.44618i
$58$	−1.02959	+	6.94899i	−0.135192	+	0.912447i
$59$	−0.0433699	−	0.00623565i	−0.00564628	−	0.000811812i	0.139491	−	0.990223i	$-0.455453\pi$
$59$	−0.0433699	−	0.00623565i	−0.00564628	−	0.000811812i	−0.145137	+	0.989412i	$0.546362\pi$
$60$	−10.4087	−	1.40344i	−1.34376	−	0.181183i
$61$	1.97470	−	6.72522i	0.252835	−	0.861076i	−0.731058	−	0.682315i	$-0.760973\pi$
$61$	1.97470	−	6.72522i	0.252835	−	0.861076i	0.983893	−	0.178760i	$-0.0572087\pi$
$62$	−7.79614	+	3.51999i	−0.990111	+	0.447039i
$63$	−0.281961	+	0.244320i	−0.0355237	+	0.0307815i
$64$	3.50972	−	7.18901i	0.438715	−	0.898626i
$65$	2.12523	−	4.87593i	0.263603	−	0.604785i
$66$	−15.1629	+	9.65283i	−1.86642	+	1.18818i
$67$	7.14358	−	3.26237i	0.872728	−	0.398561i	0.0718685	−	0.997414i	$-0.477104\pi$
$67$	7.14358	−	3.26237i	0.872728	−	0.398561i	0.800859	+	0.598853i	$0.204377\pi$
$68$	−3.44249	+	2.17080i	−0.417464	+	0.263248i
$69$	11.2422	+	0.686250i	1.35340	+	0.0826148i
$70$	0.391203	−	0.258697i	0.0467576	−	0.0309202i
$71$	5.11304	−	2.33505i	0.606806	−	0.277119i	−0.0882228	−	0.996101i	$-0.528119\pi$
$71$	5.11304	−	2.33505i	0.606806	−	0.277119i	0.695029	+	0.718982i	$0.255391\pi$
$72$	3.03886	−	6.43350i	0.358133	−	0.758195i
$73$	1.18782	+	1.02925i	0.139024	+	0.120465i	0.721597	−	0.692314i	$-0.243408\pi$
$73$	1.18782	+	1.02925i	0.139024	+	0.120465i	−0.582573	+	0.812778i	$0.697954\pi$
$74$	−13.5215	−	4.03342i	−1.57184	−	0.468875i
$75$	11.3750	+	2.91507i	1.31348	+	0.336603i
$76$	11.2099	+	13.1637i	1.28586	+	1.50998i
$77$	0.226133	−	0.770139i	0.0257703	−	0.0877655i
$78$	5.94849	+	5.19929i	0.673533	+	0.588704i
$79$	−1.28736	+	8.95375i	−0.144839	+	1.00738i	0.779663	+	0.626199i	$0.215390\pi$
$79$	−1.28736	+	8.95375i	−0.144839	+	1.00738i	−0.924502	+	0.381177i	$0.875519\pi$
$80$	−4.83424	+	7.52530i	−0.540485	+	0.841354i
$81$	−4.24497	+	9.29519i	−0.471663	+	1.03280i
$82$	0.257290	+	1.84573i	0.0284129	+	0.203827i
$83$	−7.44328	−	11.5820i	−0.817006	−	1.27129i	−0.959561	−	0.281500i	$-0.909168\pi$
$83$	−7.44328	−	11.5820i	−0.817006	−	1.27129i	0.142555	−	0.989787i	$-0.454468\pi$
$84$	0.190514	+	0.670070i	0.0207868	+	0.0731106i
$85$	4.10552	−	1.96179i	0.445306	−	0.212786i
$86$	−6.41346	+	9.88593i	−0.691581	+	1.06603i
$87$	9.81395	+	6.30704i	1.05217	+	0.676186i
$88$	1.98305	+	15.1782i	0.211394	+	1.61801i
$89$	2.32767	+	7.92731i	0.246732	+	0.840294i	0.985981	+	0.166860i	$0.0533629\pi$
$89$	2.32767	+	7.92731i	0.246732	+	0.840294i	−0.739248	+	0.673433i	$0.764819\pi$
$90$	−4.21292	+	6.74774i	−0.444081	+	0.711274i
$91$	−0.352791			−0.0369825
$92$	4.58127	−	8.42686i	0.477630	−	0.878561i
$93$			14.2052i			1.47301i
$94$	−5.10306	−	5.94061i	−0.526341	−	0.612727i
$95$	−10.7318	−	16.0782i	−1.10106	−	1.64959i
$96$	−8.48240	−	10.2248i	−0.865731	−	1.04357i
$97$	−6.73935	−	4.33112i	−0.684277	−	0.439758i	0.151770	−	0.988416i	$-0.451503\pi$
$97$	−6.73935	−	4.33112i	−0.684277	−	0.439758i	−0.836047	+	0.548658i	$0.815139\pi$
$98$	8.27883	+	5.37086i	0.836288	+	0.542539i
$99$	1.93748	+	13.4755i	0.194724	+	1.35434i
$100$	6.34884	−	7.72607i	0.634884	−	0.772607i
$101$	7.04880	−	4.52999i	0.701382	−	0.450751i	−0.140734	−	0.990047i	$-0.544946\pi$
$101$	7.04880	−	4.52999i	0.701382	−	0.450751i	0.842116	+	0.539297i	$0.181310\pi$
$102$	0.933097	+	6.69379i	0.0923904	+	0.662784i
$103$	6.22209	+	2.84153i	0.613081	+	0.279985i	0.697656	−	0.716432i	$-0.254226\pi$
$103$	6.22209	+	2.84153i	0.613081	+	0.279985i	−0.0845757	+	0.996417i	$0.526953\pi$
$104$	6.15552	−	2.71583i	0.603598	−	0.266309i
$105$	−0.124212	−	0.768884i	−0.0121218	−	0.0750354i
$106$	3.87036	−	4.42806i	0.375922	−	0.430091i
$107$	0.0970937	−	0.330671i	0.00938640	−	0.0319672i	−0.954667	−	0.297677i	$-0.903788\pi$
$107$	0.0970937	−	0.330671i	0.00938640	−	0.0319672i	0.964053	+	0.265710i	$0.0856063\pi$
$108$	1.47525	+	1.73238i	0.141956	+	0.166698i
$109$	9.74433	−	8.44351i	0.933337	−	0.808742i	−0.0484302	−	0.998827i	$-0.515422\pi$
$109$	9.74433	−	8.44351i	0.933337	−	0.808742i	0.981768	+	0.190085i	$0.0608764\pi$
$110$	−0.223671	−	17.1126i	−0.0213262	−	1.63162i
$111$	−15.3449	+	17.7089i	−1.45647	+	1.68085i
$112$	0.585671	+	0.0945027i	0.0553407	+	0.00892967i
$113$	−4.10657	−	8.99214i	−0.386314	−	0.845909i	−0.998477	−	0.0551775i	$-0.982428\pi$
$113$	−4.10657	−	8.99214i	−0.386314	−	0.845909i	0.612163	−	0.790732i	$-0.290300\pi$
$114$	27.5842	−	7.97092i	2.58349	−	0.746545i
$115$	−6.18544	+	8.76015i	−0.576796	+	0.816888i
$116$	8.40337	−	5.29908i	0.780234	−	0.492007i
$117$	5.44306	−	2.48576i	0.503211	−	0.229809i
$118$	0.0332766	+	0.0522717i	0.00306336	+	0.00481200i
$119$	−0.228084	−	0.197636i	−0.0209084	−	0.0181172i
$120$	8.08624	+	12.4593i	0.738169	+	1.13738i
$121$	−11.9767	−	13.8219i	−1.08879	−	1.25653i
$122$	−9.03425	+	4.07900i	−0.817923	+	0.369296i
$123$	2.96940	+	0.871895i	0.267742	+	0.0786161i
$124$	10.9604	+	5.11966i	0.984269	+	0.459759i
$125$	−8.05684	+	7.75160i	−0.720625	+	0.693325i
$126$	0.521928	+	0.0773313i	0.0464970	+	0.00688922i
$127$	−2.74649	+	6.01398i	−0.243712	+	0.533654i	−0.991473	−	0.130314i	$-0.958402\pi$
$127$	−2.74649	+	6.01398i	−0.243712	+	0.533654i	0.747761	+	0.663968i	$0.231129\pi$
$128$	−10.9463	+	2.85969i	−0.967528	+	0.252764i
$129$	10.5800	+	16.4627i	0.931513	+	1.44946i
$130$	−7.18913	+	2.21338i	−0.630529	+	0.194126i
$131$	10.9884	−	1.57989i	0.960057	−	0.138035i	0.355569	−	0.934650i	$-0.384287\pi$
$131$	10.9884	−	1.57989i	0.960057	−	0.138035i	0.604487	+	0.796615i	$0.293378\pi$
$132$	24.3280	+	7.37090i	2.11748	+	0.641555i
$133$	−0.693185	+	1.07862i	−0.0601067	+	0.0935279i
$134$	−10.0826	−	4.65703i	−0.871008	−	0.402306i
$135$	−1.41234	−	2.11594i	−0.121555	−	0.182111i
$136$	5.50105	+	1.69254i	0.471711	+	0.145134i
$137$	8.85027			0.756130			0.378065	−	0.925779i	$-0.376590\pi$
$137$	8.85027			0.756130			0.378065	+	0.925779i	$0.376590\pi$
$138$	−9.62367	−	12.6926i	−0.819221	−	1.08046i
$139$			1.72687i			0.146471i	0.997315	+	0.0732355i	$0.0233325\pi$
$139$			1.72687i			0.146471i	−0.997315	+	0.0732355i	$0.976668\pi$
$140$	−0.638018	−	0.181273i	−0.0539224	−	0.0153204i
$141$	−12.4786	+	3.66405i	−1.05089	+	0.308568i
$142$	−7.21668	−	3.33328i	−0.605610	−	0.279723i
$143$	−6.95989	+	10.8298i	−0.582016	+	0.905634i
$144$	−9.70194	+	2.66860i	−0.808495	+	0.222383i
$145$	−10.0219	+	4.78886i	−0.832272	+	0.397693i
$146$	0.00954627	−	2.22272i	0.000790055	−	0.183953i
$147$	13.7865	−	8.86003i	1.13709	−	0.730763i
$148$	8.13333	+	18.2221i	0.668555	+	1.49785i
$149$	15.6336	+	7.13962i	1.28075	+	0.584901i	0.935406	−	0.353574i	$-0.115034\pi$
$149$	15.6336	+	7.13962i	1.28075	+	0.584901i	0.345347	+	0.938475i	$0.387761\pi$
$150$	−7.35509	−	14.8890i	−0.600541	−	1.21568i
$151$	9.17786	+	1.31958i	0.746884	+	0.107386i	0.505239	−	0.862979i	$-0.331404\pi$
$151$	9.17786	+	1.31958i	0.746884	+	0.107386i	0.241644	+	0.970365i	$0.422313\pi$
$152$	3.79139	−	24.1560i	0.307522	−	1.95931i
$153$	4.91155	+	1.44216i	0.397075	+	0.116592i
$154$	−1.03456	+	0.467108i	−0.0833671	+	0.0376406i
$155$	−11.5032	−	7.11350i	−0.923960	−	0.571370i
$156$	0.0959707	−	11.1725i	0.00768380	−	0.894517i
$157$	−8.30510	+	9.58459i	−0.662819	+	0.764934i	−0.983235	−	0.182343i	$-0.941632\pi$
$157$	−8.30510	+	9.58459i	−0.662819	+	0.764934i	0.320416	+	0.947277i	$0.396177\pi$
$158$	10.7915	−	6.86999i	0.858528	−	0.546547i
$159$	−4.05715	−	8.88391i	−0.321753	−	0.704540i
$160$	12.5277	−	1.74869i	0.990398	−	0.138246i
$161$	0.696562	+	0.143934i	0.0548968	+	0.0113436i
$162$	13.8833	−	4.01182i	1.09078	−	0.315198i
$163$	1.11044	+	2.43153i	0.0869764	+	0.190452i	0.948122	−	0.317907i	$-0.102980\pi$
$163$	1.11044	+	2.43153i	0.0869764	+	0.190452i	−0.861146	+	0.508358i	$0.830253\pi$
$164$	1.74293	−	1.97688i	0.136100	−	0.154368i
$165$	−26.0533	−	11.3556i	−2.02825	−	0.884035i
$166$	−5.56558	+	18.6578i	−0.431972	+	1.44813i
$167$	−0.108338	−	0.125028i	−0.00838343	−	0.00967499i	0.751542	−	0.659685i	$-0.229310\pi$
$167$	−0.108338	−	0.125028i	−0.00838343	−	0.00967499i	−0.759926	+	0.650010i	$0.774765\pi$
$168$	0.543262	−	0.821854i	0.0419136	−	0.0634074i
$169$	−7.04434	−	2.06840i	−0.541872	−	0.159108i
$170$	−5.88782	−	2.59642i	−0.451575	−	0.199136i
$171$	3.09493	−	21.5257i	0.236675	−	1.64611i
$172$	16.5153	−	2.22992i	1.25928	−	0.170030i
$173$	−20.2435	−	9.24489i	−1.53908	−	0.702876i	−0.548044	−	0.836449i	$-0.684627\pi$
$173$	−20.2435	−	9.24489i	−1.53908	−	0.702876i	−0.991039	+	0.133574i	$0.957355\pi$
$174$	−2.27776	−	16.3400i	−0.172676	−	1.23873i
$175$	0.684835	+	0.284447i	0.0517686	+	0.0215022i
$176$	14.4552	−	16.1143i	1.08960	−	1.21466i
$177$	0.101855	−	0.0146446i	0.00765591	−	0.00110075i
$178$	6.35912	−	9.80216i	0.476636	−	0.734703i
$179$	−7.19559	+	11.1966i	−0.537823	+	0.836870i	−0.998720	−	0.0505843i	$-0.983892\pi$
$179$	−7.19559	+	11.1966i	−0.537823	+	0.836870i	0.460896	+	0.887454i	$0.347528\pi$
$180$	11.1210	−	1.69868i	0.828908	−	0.126613i
$181$	0.873143	+	2.97365i	0.0649002	+	0.221030i	0.985557	−	0.169343i	$-0.0541644\pi$
$181$	0.873143	+	2.97365i	0.0649002	+	0.221030i	−0.920657	+	0.390372i	$0.872346\pi$
$182$	0.325102	+	0.378459i	0.0240981	+	0.0280533i
$183$			16.4611i			1.21684i
$184$	−13.2617	+	2.85088i	−0.977665	+	0.210169i
$185$	−6.65626	−	21.2941i	−0.489378	−	1.56558i
$186$	15.2387	−	13.0903i	1.11736	−	0.959826i
$187$	−10.5666	+	3.10263i	−0.772706	+	0.226887i
$188$	−1.67030	+	10.9487i	−0.121819	+	0.798517i
$189$	−0.0912251	+	0.141949i	−0.00663565	+	0.0103253i
$190$	−7.35849	+	26.3289i	−0.533841	+	1.91010i
$191$	−1.05842	−	7.36144i	−0.0765843	−	0.532655i	−0.991611	−	0.129261i	$-0.958739\pi$
$191$	−1.05842	−	7.36144i	−0.0765843	−	0.532655i	0.915026	−	0.403394i	$-0.132170\pi$
$192$	−3.15212	+	18.5219i	−0.227485	+	1.33670i
$193$	7.95885	+	12.3842i	0.572891	+	0.891435i	0.999918	−	0.0128034i	$-0.00407557\pi$
$193$	7.95885	+	12.3842i	0.572891	+	0.891435i	−0.427027	+	0.904239i	$0.640439\pi$
$194$	1.56416	+	11.2209i	0.112300	+	0.805612i
$195$	−1.56279	+	12.3936i	−0.111914	+	0.887522i
$196$	−1.86742	−	13.8305i	−0.133387	−	0.987893i
$197$	8.20768	+	1.18009i	0.584773	+	0.0840777i	0.428351	−	0.903613i	$-0.359095\pi$
$197$	8.20768	+	1.18009i	0.584773	+	0.0840777i	0.156423	+	0.987690i	$0.450004\pi$
$198$	12.6705	−	14.4963i	0.900455	−	1.03021i
$199$	−2.52006	−	0.739956i	−0.178642	−	0.0524541i	0.191188	−	0.981553i	$-0.438766\pi$
$199$	−2.52006	−	0.739956i	−0.178642	−	0.0524541i	−0.369830	+	0.929099i	$0.620584\pi$
$200$	−14.1388	+	0.308907i	−0.999761	+	0.0218430i
$201$	−13.9387	+	12.0780i	−0.983163	+	0.851915i
$202$	−11.3551	−	3.38721i	−0.798946	−	0.238323i
$203$	0.556769	+	0.482443i	0.0390775	+	0.0338609i
$204$	6.32096	−	7.16941i	0.442556	−	0.501959i
$205$	−2.19303	+	1.96797i	−0.153168	+	0.137449i
$206$	−2.68546	−	9.29332i	−0.187105	−	0.647496i
$207$	−11.7611	+	2.68729i	−0.817455	+	0.186779i
$208$	−8.58583	−	4.10071i	−0.595320	−	0.284333i
$209$	19.4356	+	42.5581i	1.34439	+	2.94381i
$210$	−0.710365	+	0.841787i	−0.0490198	+	0.0580888i
$211$	−16.1828	−	14.0225i	−1.11407	−	0.965346i	−0.114463	−	0.993428i	$-0.536515\pi$
$211$	−16.1828	−	14.0225i	−1.11407	−	0.965346i	−0.999606	+	0.0280816i	$0.991060\pi$
$212$	−8.31683	−	0.0714406i	−0.571202	−	0.00490656i
$213$	−9.97669	+	8.64485i	−0.683591	+	0.592335i
$214$	−0.444203	+	0.200560i	−0.0303651	+	0.0137100i
$215$	−18.6294	+	0.323526i	−1.27052	+	0.0220643i
$216$	0.498958	−	3.17900i	0.0339498	−	0.216304i
$217$	−0.127667	+	0.887942i	−0.00866658	+	0.0602774i
$218$	−18.0374	−	2.67250i	−1.22165	−	0.181005i
$219$	−3.35764	−	1.53338i	−0.226888	−	0.103616i
$220$	−18.1515	+	16.0094i	−1.22378	+	1.07935i
$221$	2.61693	+	4.07202i	0.176034	+	0.273914i
$222$	33.1379	+	0.142323i	2.22407	+	0.00955208i
$223$	−0.313282	−	2.17892i	−0.0209789	−	0.145911i	0.976640	−	0.214883i	$-0.0689372\pi$
$223$	−0.313282	−	2.17892i	−0.0209789	−	0.145911i	−0.997619	+	0.0689720i	$0.978028\pi$
$224$	−0.438326	−	0.715370i	−0.0292869	−	0.0477976i
$225$	−12.5702	+	0.436731i	−0.838016	+	0.0291154i
$226$	−5.86213	+	12.6917i	−0.389943	+	0.844242i
$227$	−5.10862	−	17.3984i	−0.339071	−	1.15477i	−0.935860	−	0.352372i	$-0.885375\pi$
$227$	−5.10862	−	17.3984i	−0.339071	−	1.15477i	0.596789	−	0.802398i	$-0.296443\pi$
$228$	−33.9701	−	22.2458i	−2.24972	−	1.47327i
$229$		−	0.0452463i		−	0.00298996i	−0.999999	−	0.00149498i	$-0.999524\pi$
$229$		−	0.0452463i		−	0.00298996i	0.999999	−	0.00149498i	$-0.000475867\pi$
$230$	15.0975	−	1.43711i	0.995500	−	0.0947604i
$231$			1.88505i			0.124027i
$232$	−13.4285	−	4.13161i	−0.881622	−	0.271254i
$233$	−4.36178	−	14.8549i	−0.285750	−	0.973175i	−0.969833	−	0.243771i	$-0.921616\pi$
$233$	−4.36178	−	14.8549i	−0.285750	−	0.973175i	0.684083	−	0.729404i	$-0.260203\pi$
$234$	−7.68248	−	3.54843i	−0.502219	−	0.231968i
$235$	3.28177	−	11.9399i	0.214079	−	0.778870i
$236$	0.0254100	−	0.0838669i	0.00165405	−	0.00545927i
$237$	−3.02338	−	21.0281i	−0.196390	−	1.36592i
$238$	−0.00183306	+	0.426803i	−0.000118820	+	0.0276655i
$239$	−3.12765	−	4.86672i	−0.202311	−	0.314802i	0.725242	−	0.688494i	$-0.241728\pi$
$239$	−3.12765	−	4.86672i	−0.202311	−	0.314802i	−0.927553	+	0.373692i	$0.878092\pi$
$240$	5.91429	−	20.1560i	0.381766	−	1.30107i
$241$	9.67114	+	4.41666i	0.622973	+	0.284502i	0.701787	−	0.712387i	$-0.252386\pi$
$241$	9.67114	+	4.41666i	0.622973	+	0.284502i	−0.0788139	+	0.996889i	$0.525113\pi$
$242$	−3.79082	+	25.5852i	−0.243683	+	1.64468i
$243$	2.92963	−	20.3760i	0.187936	−	1.30712i
$244$	12.7010	+	5.93271i	0.813097	+	0.379803i
$245$	0.270932	+	15.6009i	0.0173092	+	0.996707i
$246$	−1.80101	−	3.98892i	−0.114828	−	0.254324i
$247$	15.5412	−	13.4665i	0.988863	−	0.856854i
$248$	−4.60797	−	16.4757i	−0.292606	−	1.04621i
$249$	24.4359	+	21.1738i	1.54856	+	1.34184i
$250$	15.7401	+	1.49983i	0.995491	+	0.0948577i
$251$	9.86009	+	21.5906i	0.622363	+	1.36279i	0.913788	+	0.406192i	$0.133143\pi$
$251$	9.86009	+	21.5906i	0.622363	+	1.36279i	−0.291425	+	0.956594i	$0.594129\pi$
$252$	−0.398006	−	0.631165i	−0.0250720	−	0.0397596i
$253$	18.1603	−	18.5432i	1.14173	−	1.16580i
$254$	8.98248	−	2.59564i	0.563611	−	0.162865i
$255$	−7.95333	+	7.13712i	−0.498057	+	0.446944i
$256$	13.1550	+	9.10753i	0.822185	+	0.569220i
$257$	5.97983	+	5.18155i	0.373011	+	0.323216i	0.821112	−	0.570767i	$-0.193354\pi$
$257$	5.97983	+	5.18155i	0.373011	+	0.323216i	−0.448101	+	0.893983i	$0.647899\pi$
$258$	7.91096	−	26.5204i	0.492515	−	1.65109i
$259$	−1.11834	+	0.969043i	−0.0694900	+	0.0602134i
$260$	8.99931	+	5.67255i	0.558114	+	0.351796i
$261$	−11.9894	−	3.52042i	−0.742128	−	0.217909i
$262$	−11.8208	−	10.3320i	−0.730289	−	0.638311i
$263$	−15.4221	−	2.21736i	−0.950966	−	0.136728i	−0.350664	−	0.936501i	$-0.614044\pi$
$263$	−15.4221	−	2.21736i	−0.950966	−	0.136728i	−0.600302	+	0.799773i	$0.704953\pi$
$264$	−14.5114	−	32.8904i	−0.893113	−	2.02427i
$265$	9.22578	+	1.16334i	0.566735	+	0.0714636i
$266$	1.79587	−	0.250340i	0.110112	−	0.0153493i
$267$	−10.4903	−	16.3232i	−0.641996	−	0.998966i
$268$	4.29543	+	15.1078i	0.262385	+	0.922854i
$269$	−1.25460	−	8.72594i	−0.0764944	−	0.532030i	−0.991653	−	0.128936i	$-0.958844\pi$
$269$	−1.25460	−	8.72594i	−0.0764944	−	0.532030i	0.915159	−	0.403094i	$-0.132065\pi$
$270$	−0.968400	+	3.46496i	−0.0589349	+	0.210871i
$271$	2.98277	−	4.64128i	0.181190	−	0.281938i	−0.738763	−	0.673965i	$-0.764590\pi$
$271$	2.98277	−	4.64128i	0.181190	−	0.281938i	0.919954	+	0.392027i	$0.128226\pi$
$272$	−3.25361	−	7.46100i	−0.197279	−	0.452390i
$273$	0.794976	−	0.233426i	0.0481141	−	0.0141276i
$274$	−8.15565	−	9.49421i	−0.492701	−	0.573566i
$275$	22.2423	−	15.4111i	1.34126	−	0.929327i
$276$	−4.74771	+	22.0202i	−0.285779	+	1.32546i
$277$			5.50370i			0.330685i	0.986236	+	0.165343i	$0.0528730\pi$
$277$			5.50370i			0.330685i	−0.986236	+	0.165343i	$0.947127\pi$
$278$	1.85251	−	1.59133i	0.111106	−	0.0954417i
$279$	−4.28672	−	14.5992i	−0.256639	−	0.874032i
$280$	0.393480	+	0.851485i	0.0235149	+	0.0508860i
$281$	7.74208	−	12.0469i	0.461854	−	0.718658i	−0.529724	−	0.848170i	$-0.677705\pi$
$281$	7.74208	−	12.0469i	0.461854	−	0.718658i	0.991578	+	0.129512i	$0.0413409\pi$
$282$	15.4298	+	10.0101i	0.918834	+	0.596090i
$283$	15.5590	−	2.23704i	0.924885	−	0.132978i	0.336615	−	0.941642i	$-0.390718\pi$
$283$	15.5590	−	2.23704i	0.924885	−	0.132978i	0.588271	+	0.808664i	$0.299809\pi$
$284$	3.07447	+	10.8134i	0.182436	+	0.641659i
$285$	34.8212	+	29.1297i	2.06263	+	1.72549i
$286$	18.0314	−	2.51353i	1.06622	−	0.148628i
$287$	0.177776	+	0.0811876i	0.0104938	+	0.00479235i
$288$	11.8032	+	7.94870i	0.695512	+	0.468381i
$289$	1.83006	−	12.7283i	0.107650	−	0.748725i
$290$	14.3726	+	6.33805i	0.843988	+	0.372183i
$291$	18.0521	+	5.30058i	1.05823	+	0.310725i
$292$	−2.39324	+	2.03802i	−0.140054	+	0.119266i
$293$	3.84524	+	4.43765i	0.224641	+	0.259250i	0.856871	−	0.515531i	$-0.172405\pi$
$293$	3.84524	+	4.43765i	0.224641	+	0.259250i	−0.632229	+	0.774781i	$0.717860\pi$
$294$	−22.2091	−	6.62492i	−1.29526	−	0.386373i
$295$	−0.0391468	+	0.0898147i	−0.00227921	+	0.00522922i
$296$	12.0530	−	25.5170i	0.700564	−	1.48315i
$297$	2.55779	+	5.60077i	0.148418	+	0.324990i
$298$	−6.74748	−	23.3503i	−0.390871	−	1.35265i
$299$	−10.0690	−	5.36247i	−0.582304	−	0.310119i
$300$	−9.19443	+	21.6106i	−0.530841	+	1.24769i
$301$	0.513378	+	1.12414i	0.0295906	+	0.0647944i
$302$	−7.04194	−	11.0616i	−0.405218	−	0.636526i
$303$	−12.8864	+	14.8717i	−0.740305	+	0.854358i
$304$	−29.4074	+	18.1929i	−1.68663	+	1.04343i
$305$	−13.3300	−	8.24319i	−0.763275	−	0.472004i
$306$	−2.97897	−	6.59788i	−0.170296	−	0.377176i
$307$	10.2315	+	3.00424i	0.583942	+	0.171461i	0.560343	−	0.828261i	$-0.310669\pi$
$307$	10.2315	+	3.00424i	0.583942	+	0.171461i	0.0235990	+	0.999722i	$0.492488\pi$
$308$	1.45445	+	0.679386i	0.0828752	+	0.0387116i
$309$	−15.9009	−	2.28621i	−0.904572	−	0.130058i
$310$	2.96929	+	18.8954i	0.168645	+	1.07318i
$311$	−2.40521	−	1.09842i	−0.136387	−	0.0622857i	0.346053	−	0.938215i	$-0.387522\pi$
$311$	−2.40521	−	1.09842i	−0.136387	−	0.0622857i	−0.482439	+	0.875929i	$0.660249\pi$
$312$	−12.0738	+	10.1927i	−0.683547	+	0.577047i
$313$	−7.96780	+	5.12060i	−0.450367	+	0.289433i	−0.746096	−	0.665839i	$-0.768074\pi$
$313$	−7.96780	+	5.12060i	−0.450367	+	0.289433i	0.295729	+	0.955272i	$0.404438\pi$
$314$	17.9352	+	0.0770294i	1.01214	+	0.00434702i
$315$	0.359684	+	0.752728i	0.0202659	+	0.0424114i
$316$	−17.3144	−	5.24592i	−0.974011	−	0.295106i
$317$	−2.57004	+	3.99905i	−0.144348	+	0.224609i	−0.905897	−	0.423497i	$-0.860802\pi$
$317$	−2.57004	+	3.99905i	−0.144348	+	0.224609i	0.761550	+	0.648106i	$0.224439\pi$
$318$	−5.79158	+	12.5390i	−0.324776	+	0.703152i
$319$	25.7938	−	7.57375i	1.44418	−	0.424049i
$320$	−13.4203	−	11.8277i	−0.750219	−	0.661189i
$321$			0.809374i			0.0451748i
$322$	−0.487486	−	0.879880i	−0.0271665	−	0.0490338i
$323$	17.5916			0.978824
$324$	−17.0974	−	11.1965i	−0.949854	−	0.622027i
$325$	−9.25357	−	7.47182i	−0.513296	−	0.414462i
$326$	1.58515	−	3.43192i	0.0877936	−	0.190076i
$327$	−16.3711	+	25.4739i	−0.905324	+	1.40871i
$328$	−3.72684	−	0.0480212i	−0.205780	−	0.00265153i
$329$	−0.812945	+	0.116884i	−0.0448191	+	0.00644401i
$330$	11.8266	+	38.4133i	0.651035	+	2.11458i
$331$	14.2336	+	22.1480i	0.782351	+	1.21736i	0.971878	+	0.235486i	$0.0756682\pi$
$331$	14.2336	+	22.1480i	0.782351	+	1.21736i	−0.189527	+	0.981876i	$0.560695\pi$
$332$	25.1441	−	11.2229i	1.37996	−	0.615937i
$333$	10.4265	−	22.8307i	0.571366	−	1.25112i
$334$	−0.0342906	+	0.231436i	−0.00187630	+	0.0126636i
$335$	−2.80055	−	17.3357i	−0.153010	−	0.947150i
$336$	−1.38228	+	0.174561i	−0.0754093	+	0.00952309i
$337$	−29.1458	−	8.55797i	−1.58767	−	0.466183i	−0.635590	−	0.772027i	$-0.719243\pi$
$337$	−29.1458	−	8.55797i	−1.58767	−	0.466183i	−0.952082	+	0.305844i	$0.901061\pi$
$338$	4.27256	+	9.46294i	0.232397	+	0.514716i
$339$	15.2034	+	17.5457i	0.825736	+	0.952951i
$340$	2.64037	+	8.70885i	0.143194	+	0.472304i
$341$	24.7390	+	21.4365i	1.33969	+	1.16085i
$342$	−25.9439	+	16.5161i	−1.40289	+	0.893089i
$343$	1.88576	−	0.861197i	0.101821	−	0.0465003i
$344$	−17.6113	−	15.6620i	−0.949536	−	0.844441i
$345$	8.14203	−	23.8327i	0.438352	−	1.28311i
$346$	8.73712	+	30.2357i	0.469710	+	1.62548i
$347$	−6.98906	−	15.3039i	−0.375192	−	0.821557i	−0.999194	−	0.0401341i	$-0.987222\pi$
$347$	−6.98906	−	15.3039i	−0.375192	−	0.821557i	0.624002	−	0.781423i	$-0.285506\pi$
$348$	−15.4299	+	17.5011i	−0.827131	+	0.938155i
$349$	−1.20094	+	1.38596i	−0.0642848	+	0.0741886i	−0.786981	−	0.616977i	$-0.788357\pi$
$349$	−1.20094	+	1.38596i	−0.0642848	+	0.0741886i	0.722696	+	0.691166i	$0.242903\pi$
$350$	−0.325942	−	0.996785i	−0.0174223	−	0.0532804i
$351$	2.04527	−	1.77223i	0.109168	−	0.0945949i
$352$	−30.6074	−	0.657371i	−1.63138	−	0.0350380i
$353$	−4.72505	+	16.0921i	−0.251489	+	0.856493i	0.732877	+	0.680361i	$0.238177\pi$
$353$	−4.72505	+	16.0921i	−0.251489	+	0.856493i	−0.984366	+	0.176133i	$0.943641\pi$
$354$	−0.109571	−	0.0957709i	−0.00582364	−	0.00509017i
$355$	−2.00450	−	12.4081i	−0.106388	−	0.658552i
$356$	−16.3754	+	2.21103i	−0.867893	+	0.117184i
$357$	0.644729	+	0.294438i	0.0341227	+	0.0155833i
$358$	18.6420	−	2.59865i	0.985262	−	0.137343i
$359$	−18.7950	+	12.0788i	−0.991964	+	0.637497i	−0.932665	−	0.360744i	$-0.882523\pi$
$359$	−18.7950	+	12.0788i	−0.991964	+	0.637497i	−0.0592992	+	0.998240i	$0.518887\pi$
$360$	−12.0704	−	10.3648i	−0.636166	−	0.546270i
$361$	−7.93205	−	55.1686i	−0.417476	−	2.90361i
$362$	2.38540	−	3.67694i	0.125374	−	0.193255i
$363$	36.1336	+	23.2216i	1.89652	+	1.21882i
$364$	0.106410	−	0.697511i	0.00557740	−	0.0365595i
$365$	2.92311	−	1.95111i	0.153003	−	0.102126i
$366$	17.6588	−	15.1692i	0.923041	−	0.792905i
$367$			10.0718i			0.525743i	0.964831	+	0.262872i	$0.0846696\pi$
$367$			10.0718i			0.525743i	−0.964831	+	0.262872i	$0.915330\pi$
$368$	15.2791	+	11.5995i	0.796480	+	0.604665i
$369$	−3.31488			−0.172566
$370$	−16.7096	+	26.7634i	−0.868692	+	1.39136i
$371$	−0.173762	−	0.591781i	−0.00902130	−	0.0307237i
$372$	−28.0854	−	4.28462i	−1.45616	−	0.222147i
$373$	17.0909	+	10.9837i	0.884936	+	0.568714i	0.902287	−	0.431136i	$-0.141887\pi$
$373$	17.0909	+	10.9837i	0.884936	+	0.568714i	−0.0173515	+	0.999849i	$0.505523\pi$
$374$	13.0656	+	8.47629i	0.675608	+	0.438299i
$375$	13.0263	−	22.7983i	0.672676	−	1.17730i
$376$	13.2845	−	8.29756i	0.685097	−	0.427914i
$377$	−6.38811	−	9.94010i	−0.329005	−	0.511941i
$378$	0.236342	−	0.0329455i	0.0121561	−	0.00169453i
$379$	−4.84658	+	10.6125i	−0.248952	+	0.545129i	−0.992312	−	0.123763i	$-0.960504\pi$
$379$	−4.84658	+	10.6125i	−0.248952	+	0.545129i	0.743360	+	0.668892i	$0.233231\pi$
$380$	35.0255	−	16.3686i	1.79677	−	0.839690i
$381$	2.20974	−	15.3691i	0.113208	−	0.787382i
$382$	−6.92171	+	7.91910i	−0.354145	+	0.405176i
$383$	−9.23811	+	31.4621i	−0.472045	+	1.60764i	0.287906	+	0.957659i	$0.407041\pi$
$383$	−9.23811	+	31.4621i	−0.472045	+	1.60764i	−0.759951	+	0.649980i	$0.774777\pi$
$384$	22.7742	−	13.6867i	1.16219	−	0.698447i
$385$	−1.52649	−	0.943970i	−0.0777971	−	0.0481092i
$386$	5.95108	−	19.9502i	0.302902	−	1.01544i
$387$	−15.8414	−	13.7266i	−0.805263	−	0.697765i
$388$	10.5959	−	12.0182i	0.537925	−	0.610130i
$389$	−27.5920	+	12.6008i	−1.39897	+	0.638888i	−0.965050	−	0.262064i	$-0.915597\pi$
$389$	−27.5920	+	12.6008i	−1.39897	+	0.638888i	−0.433919	+	0.900952i	$0.642869\pi$
$390$	14.7354	−	9.74435i	0.746158	−	0.493424i
$391$	−3.50563	−	9.10761i	−0.177287	−	0.460592i
$392$	−13.1159	+	14.7483i	−0.662455	+	0.744901i
$393$	−23.7157	+	10.8306i	−1.19630	+	0.546332i
$394$	−6.29755	−	9.89233i	−0.317266	−	0.498369i
$395$	18.5423	+	8.08189i	0.932966	+	0.406644i
$396$	−27.2271	−	0.233878i	−1.36821	−	0.0117528i
$397$	27.8604	−	24.1412i	1.39828	−	1.21161i	0.450459	−	0.892797i	$-0.351260\pi$
$397$	27.8604	−	24.1412i	1.39828	−	1.21161i	0.947817	−	0.318815i	$-0.103285\pi$
$398$	1.52848	+	3.38530i	0.0766156	+	0.169690i
$399$	0.848344	−	2.88919i	0.0424703	−	0.144641i
$400$	13.3605	+	14.8828i	0.668023	+	0.744141i
$401$	−5.57749	−	0.801922i	−0.278526	−	0.0400461i	0.00163601	−	0.999999i	$-0.499479\pi$
$401$	−5.57749	−	0.801922i	−0.278526	−	0.0400461i	−0.280162	+	0.959953i	$0.590388\pi$
$402$	25.8015	+	3.82287i	1.28686	+	0.190667i
$403$	5.97690	−	13.0876i	0.297731	−	0.651939i
$404$	6.83027	+	15.3027i	0.339819	+	0.761338i
$405$	17.5257	+	14.6612i	0.870862	+	0.728519i
$406$	0.00447464	−	1.04186i	0.000222073	−	0.0517065i
$407$	7.68459	+	53.4475i	0.380911	+	2.64930i
$408$	−13.5159	−	0.174156i	−0.669137	−	0.00862199i
$409$	−1.22885	−	0.789736i	−0.0607629	−	0.0390499i	0.509907	−	0.860230i	$-0.329680\pi$
$409$	−1.22885	−	0.789736i	−0.0607629	−	0.0390499i	−0.570670	+	0.821180i	$0.693316\pi$
$410$	4.13207	+	0.539080i	0.204068	+	0.0266233i
$411$	−19.9431	+	5.85583i	−0.983722	+	0.288847i
$412$	−7.49480	+	11.4448i	−0.369242	+	0.563844i
$413$	0.00649841			0.000319766
$414$	13.7209	+	10.1405i	0.674343	+	0.498377i
$415$	−29.3830	+	9.18475i	−1.44236	+	0.450862i
$416$	3.51290	+	12.9894i	0.172234	+	0.636857i
$417$	−1.14259	−	3.89131i	−0.0559529	−	0.190558i
$418$	27.7444	−	60.0677i	1.35702	−	2.93801i
$419$	−7.18352	−	4.61657i	−0.350938	−	0.225534i	0.353280	−	0.935517i	$-0.385066\pi$
$419$	−7.18352	−	4.61657i	−0.350938	−	0.225534i	−0.704219	+	0.709983i	$0.748703\pi$
$420$	1.55765	−	0.0136686i	0.0760053	−	0.000666961i
$421$	−32.9030	+	4.73073i	−1.60359	+	0.230562i	−0.885246	−	0.465123i	$-0.846010\pi$
$421$	−32.9030	+	4.73073i	−1.60359	+	0.230562i	−0.718347	+	0.695685i	$0.755101\pi$
$422$	−0.130058	+	30.2821i	−0.00633111	+	1.47411i
$423$	11.7190	−	7.53136i	0.569798	−	0.366187i
$424$	7.58743	+	8.98778i	0.368478	+	0.436485i
$425$	−1.79679	−	10.0145i	−0.0871570	−	0.485777i
$426$	18.4675	+	2.73623i	0.894753	+	0.132571i
$427$	−0.147941	+	1.02896i	−0.00715939	+	0.0497946i
$428$	0.624492	+	0.291704i	0.0301860	+	0.0141001i
$429$	8.51777	−	29.0089i	0.411242	−	1.40056i
$430$	17.5143	+	19.6867i	0.844617	+	0.949379i
$431$	−3.10256	−	3.58055i	−0.149445	−	0.172469i	0.676091	−	0.736818i	$-0.263673\pi$
$431$	−3.10256	−	3.58055i	−0.149445	−	0.172469i	−0.825536	+	0.564349i	$0.809127\pi$
$432$	−3.87010	+	2.39423i	−0.186200	+	0.115193i
$433$	−22.6075	+	26.0904i	−1.08645	+	1.25382i	−0.121158	+	0.992633i	$0.538661\pi$
$433$	−22.6075	+	26.0904i	−1.08645	+	1.25382i	−0.965287	+	0.261191i	$0.915885\pi$
$434$	1.07019	−	0.681295i	0.0513710	−	0.0327032i
$435$	19.4146	−	17.4222i	0.930861	−	0.835331i
$436$	13.7548	+	21.8125i	0.658733	+	1.04463i
$437$	−36.1792	+	20.2482i	−1.73069	+	0.968602i
$438$	1.44916	+	5.01497i	0.0692436	+	0.239624i
$439$	−27.7749	+	12.6844i	−1.32562	+	0.605392i	−0.947320	−	0.320289i	$-0.896220\pi$
$439$	−27.7749	+	12.6844i	−1.32562	+	0.605392i	−0.378305	+	0.925681i	$0.623493\pi$
$440$	33.9011	+	4.71932i	1.61617	+	0.224985i
$441$	−11.4952	+	13.2661i	−0.547389	+	0.631721i
$442$	1.95676	−	6.55976i	0.0930736	−	0.312016i
$443$	6.49232	+	7.49254i	0.308460	+	0.355981i	0.888721	−	0.458449i	$-0.151595\pi$
$443$	6.49232	+	7.49254i	0.308460	+	0.355981i	−0.580261	+	0.814431i	$0.697049\pi$
$444$	−30.3843	−	35.6801i	−1.44198	−	1.69330i
$445$	18.4716	−	0.320785i	0.875636	−	0.0152066i
$446$	−2.04876	+	2.34398i	−0.0970118	+	0.110991i
$447$	−39.9526	−	5.74432i	−1.88969	−	0.271697i
$448$	−0.363496	+	1.12944i	−0.0171736	+	0.0533611i
$449$	3.92868	−	8.60262i	0.185406	−	0.405983i	−0.793990	−	0.607931i	$-0.792000\pi$
$449$	3.92868	−	8.60262i	0.185406	−	0.405983i	0.979396	+	0.201948i	$0.0647272\pi$
$450$	12.0522	+	13.0824i	0.568144	+	0.616710i
$451$	5.99944	−	3.85561i	0.282503	−	0.181554i
$452$	19.0172	−	5.40697i	0.894495	−	0.254322i
$453$	−21.5544	+	3.09906i	−1.01272	+	0.145606i
$454$	−13.9566	+	21.5131i	−0.655015	+	1.00966i
$455$	−0.209072	+	0.760654i	−0.00980146	+	0.0356600i
$456$	7.43947	+	56.9416i	0.348385	+	2.66653i
$457$	33.6986	−	9.89481i	1.57636	−	0.462860i	0.627512	−	0.778607i	$-0.284073\pi$
$457$	33.6986	−	9.89481i	1.57636	−	0.462860i	0.948843	+	0.315747i	$0.102255\pi$
$458$	−0.0485384	+	0.0416951i	−0.00226805	+	0.00194828i
$459$	2.31511			0.108060
$460$	−15.4542	−	14.8717i	−0.720558	−	0.693395i
$461$	18.3097			0.852766			0.426383	−	0.904543i	$-0.359788\pi$
$461$	18.3097			0.852766			0.426383	+	0.904543i	$0.359788\pi$
$462$	2.02220	−	1.73710i	0.0940813	−	0.0808171i
$463$	29.4898	−	8.65900i	1.37051	−	0.402418i	0.488054	−	0.872814i	$-0.337707\pi$
$463$	29.4898	−	8.65900i	1.37051	−	0.402418i	0.882456	+	0.470396i	$0.155889\pi$
$464$	7.94229	+	18.2128i	0.368712	+	0.845510i
$465$	30.6279	+	8.41834i	1.42034	+	0.390391i
$466$	−11.9163	+	18.3681i	−0.552010	+	0.850887i
$467$	2.10280	−	0.302337i	0.0973060	−	0.0139905i	−0.0934898	−	0.995620i	$-0.529802\pi$
$467$	2.10280	−	0.302337i	0.0973060	−	0.0139905i	0.190796	+	0.981630i	$0.438893\pi$
$468$	3.27291	+	11.5114i	0.151290	+	0.532113i
$469$	−0.979834	+	0.629701i	−0.0452445	+	0.0290769i
$470$	−15.8328	+	7.48220i	−0.730312	+	0.345128i
$471$	12.3729	−	27.0930i	0.570115	−	1.24838i
$472$	−0.113385	+	0.0500257i	−0.00521895	+	0.00230262i
$473$	44.6364	+	6.41774i	2.05238	+	0.295088i
$474$	−19.7720	+	22.6211i	−0.908158	+	1.03902i
$475$	−41.0262	+	13.6106i	−1.88241	+	0.624498i
$476$	0.459546	−	0.391339i	0.0210633	−	0.0179370i
$477$	6.85059	+	7.90601i	0.313667	+	0.361991i
$478$	−2.33864	+	7.83996i	−0.106967	+	0.358591i
$479$	−19.5456	+	22.5568i	−0.893060	+	1.03065i	0.106280	+	0.994336i	$0.466106\pi$
$479$	−19.5456	+	22.5568i	−0.893060	+	1.03065i	−0.999341	+	0.0363101i	$0.988440\pi$
$480$	−27.0727	+	12.2295i	−1.23569	+	0.558197i
$481$	21.5887	−	9.85922i	0.984359	−	0.449542i
$482$	−4.17408	−	14.4448i	−0.190124	−	0.657943i
$483$	−1.66486	+	0.136546i	−0.0757539	+	0.00621304i
$484$	30.9400	−	19.5105i	1.40637	−	0.886840i
$485$	−13.3322	+	11.9640i	−0.605386	+	0.543259i
$486$	−24.5583	+	15.6340i	−1.11399	+	0.709174i
$487$	−16.4162	+	18.9453i	−0.743888	+	0.858493i	−0.993961	−	0.109734i	$-0.965000\pi$
$487$	−16.4162	+	18.9453i	−0.743888	+	0.858493i	0.250073	+	0.968227i	$0.419546\pi$
$488$	−5.33976	−	19.0922i	−0.241719	−	0.864262i
$489$	−4.11109	−	4.74445i	−0.185910	−	0.214552i
$490$	16.4864	−	14.6671i	0.744779	−	0.662593i
$491$	−0.883397	+	3.00857i	−0.0398672	+	0.135775i	−0.977022	−	0.213139i	$-0.931631\pi$
$491$	−0.883397	+	3.00857i	−0.0398672	+	0.135775i	0.937155	+	0.348914i	$0.113449\pi$
$492$	−2.61949	+	5.60789i	−0.118096	+	0.252823i
$493$	1.43851	−	10.0051i	0.0647873	−	0.450606i
$494$	−28.7678	−	4.26237i	−1.29432	−	0.191773i
$495$	30.2028	+	3.80848i	1.35751	+	0.171179i
$496$	−13.4281	+	20.1258i	−0.602940	+	0.903675i
$497$	−0.701319	+	0.450710i	−0.0314585	+	0.0202171i
$498$	0.196386	−	45.7258i	0.00880028	−	2.04902i
$499$	38.7213	−	5.56728i	1.73340	−	0.249226i	0.797961	−	0.602709i	$-0.205912\pi$
$499$	38.7213	−	5.56728i	1.73340	−	0.249226i	0.935441	+	0.353483i	$0.115003\pi$
$500$	−12.8958	−	18.2674i	−0.576716	−	0.816945i
$501$	0.326853	+	0.210056i	0.0146027	+	0.00938460i
$502$	14.0753	−	30.4735i	0.628210	−	1.36010i
$503$	6.17407	+	21.0270i	0.275288	+	0.937546i	0.974829	+	0.222953i	$0.0715698\pi$
$503$	6.17407	+	21.0270i	0.275288	+	0.937546i	−0.699541	+	0.714593i	$0.746612\pi$
$504$	−0.310319	+	1.00859i	−0.0138227	+	0.0449262i
$505$	−5.58985	−	17.8825i	−0.248745	−	0.795763i
$506$	−36.6273	−	2.39375i	−1.62828	−	0.106415i
$507$	17.2422			0.765754
$508$	−11.0620	−	7.24412i	−0.490796	−	0.321406i
$509$	−18.6408	+	5.47344i	−0.826240	+	0.242606i	−0.667401	−	0.744699i	$-0.732593\pi$
$509$	−18.6408	+	5.47344i	−0.826240	+	0.242606i	−0.158839	+	0.987305i	$0.550775\pi$
$510$	14.9855	+	1.95505i	0.663569	+	0.0865710i
$511$	−0.196099	−	0.126025i	−0.00867491	−	0.00557502i
$512$	−2.35230	−	22.5048i	−0.103958	−	0.994582i
$513$	−1.39973	−	9.73536i	−0.0617997	−	0.429827i
$514$	0.0480586	−	11.1898i	0.00211978	−	0.493560i
$515$	9.81401	−	11.7315i	0.432457	−	0.516953i
$516$	−35.7400	+	15.9523i	−1.57337	+	0.702263i
$517$	−12.4498	+	27.2613i	−0.547542	+	1.19895i
$518$	2.07011	+	0.306717i	0.0909555	+	0.0134764i
$519$	51.7334	+	7.43814i	2.27085	+	0.326498i
$520$	−2.20772	−	14.8814i	−0.0968149	−	0.652594i
$521$	5.35853	−	18.2495i	0.234761	−	0.799524i	−0.754868	−	0.655877i	$-0.772299\pi$
$521$	5.35853	−	18.2495i	0.234761	−	0.799524i	0.989629	−	0.143647i	$-0.0458829\pi$
$522$	7.27189	+	16.1059i	0.318282	+	0.704936i
$523$	−24.9495	+	21.6188i	−1.09096	+	0.945325i	−0.998729	−	0.0504118i	$-0.983947\pi$
$523$	−24.9495	+	21.6188i	−1.09096	+	0.945325i	−0.0922352	+	0.995737i	$0.529401\pi$
$524$	−0.190712	+	22.2019i	−0.00833128	+	0.969893i
$525$	−1.73141	−	0.187846i	−0.0755648	−	0.00819826i
$526$	11.8330	+	18.5875i	0.515942	+	0.810453i
$527$	11.1959	−	5.11300i	0.487701	−	0.222726i
$528$	−21.9111	+	45.8762i	−0.953558	+	1.99651i
$529$	17.6927	+	14.6958i	0.769249	+	0.638950i
$530$	−7.25370	−	10.9691i	−0.315081	−	0.476466i
$531$	−0.100261	+	0.0457877i	−0.00435096	+	0.00198702i
$532$	−1.92348	−	1.69585i	−0.0833934	−	0.0735244i
$533$	−2.36893	−	2.05269i	−0.102610	−	0.0889118i
$534$	−7.84393	+	26.2957i	−0.339440	+	1.13792i
$535$	−0.655421	−	0.405308i	−0.0283363	−	0.0175230i
$536$	12.2487	−	18.5300i	0.529063	−	0.800373i
$537$	8.80622	−	29.9912i	0.380016	−	1.29422i
$538$	−8.20470	+	9.38696i	−0.353730	+	0.404701i
$539$	5.37444	−	37.3801i	0.231494	−	1.61007i
$540$	4.60946	−	2.15415i	0.198360	−	0.0927000i
$541$	−4.17815	+	9.14887i	−0.179633	+	0.393341i	−0.977933	−	0.208919i	$-0.933006\pi$
$541$	−4.17815	+	9.14887i	−0.179633	+	0.393341i	0.798300	+	0.602260i	$0.205733\pi$
$542$	−7.72764	+	1.07721i	−0.331931	+	0.0462703i
$543$	−3.93507	−	6.12309i	−0.168870	−	0.262767i
$544$	−5.00561	+	10.3658i	−0.214614	+	0.444428i
$545$	−12.4304	−	26.0136i	−0.532459	−	1.11430i
$546$	−0.982991	−	0.637712i	−0.0420681	−	0.0272916i
$547$	11.2173	+	7.20895i	0.479619	+	0.308232i	0.758019	−	0.652233i	$-0.226168\pi$
$547$	11.2173	+	7.20895i	0.479619	+	0.308232i	−0.278400	+	0.960465i	$0.589804\pi$
$548$	−2.66945	+	17.4981i	−0.114033	+	0.747482i
$549$	−4.96749	−	16.9177i	−0.212007	−	0.722031i
$550$	−37.0291	−	9.65906i	−1.57892	−	0.411864i
$551$	−42.9424			−1.82941
$552$	27.9975	−	15.1988i	1.19165	−	0.646905i
$553$		−	1.34160i		−	0.0570507i
$554$	5.90414	−	5.07174i	0.250843	−	0.215477i
$555$	29.0886	+	43.5799i	1.23474	+	1.84986i
$556$	−3.41423	−	0.520863i	−0.144796	−	0.0220895i
$557$	−25.5605	−	16.4268i	−1.08303	−	0.696024i	−0.127778	−	0.991803i	$-0.540784\pi$
$557$	−25.5605	−	16.4268i	−1.08303	−	0.696024i	−0.955256	+	0.295779i	$0.904421\pi$
$558$	−11.7112	+	18.0520i	−0.495773	+	0.764202i
$559$	−2.82080	−	19.6191i	−0.119307	−	0.829799i
$560$	0.550841	−	1.20677i	0.0232773	−	0.0509951i
$561$	21.7578	−	13.9829i	0.918616	−	0.590358i
$562$	−20.0579	+	2.79601i	−0.846090	+	0.117943i
$563$	−15.4673	−	7.06366i	−0.651867	−	0.297698i	0.0618985	−	0.998082i	$-0.480285\pi$
$563$	−15.4673	−	7.06366i	−0.651867	−	0.297698i	−0.713766	+	0.700385i	$0.753012\pi$
$564$	−3.48044	−	25.7769i	−0.146553	−	1.08540i
$565$	−21.8217	+	3.52525i	−0.918044	+	0.148308i
$566$	−16.7376	−	14.6296i	−0.703535	−	0.614927i
$567$	0.426977	−	1.45415i	0.0179314	−	0.0610686i
$568$	8.76703	−	13.2629i	0.367857	−	0.556498i
$569$	23.2343	−	20.1326i	0.974031	−	0.844002i	−0.0137416	−	0.999906i	$-0.504374\pi$
$569$	23.2343	−	20.1326i	0.974031	−	0.844002i	0.987772	+	0.155903i	$0.0498288\pi$
$570$	−0.839105	−	64.1982i	−0.0351463	−	2.68897i
$571$	−2.82430	+	3.25941i	−0.118193	+	0.136402i	−0.811763	−	0.583988i	$-0.801492\pi$
$571$	−2.82430	+	3.25941i	−0.118193	+	0.136402i	0.693569	+	0.720390i	$0.256037\pi$
$572$	−19.3126	−	17.0271i	−0.807501	−	0.711939i
$573$	7.25577	+	15.8879i	0.303114	+	0.663727i
$574$	−0.0767284	−	0.265526i	−0.00320258	−	0.0110829i
$575$	15.2222	+	18.5280i	0.634809	+	0.772669i
$576$	−2.34981	−	19.9869i	−0.0979089	−	0.832786i
$577$	27.0651	−	12.3602i	1.12674	−	0.514563i	0.237215	−	0.971457i	$-0.423765\pi$
$577$	27.0651	−	12.3602i	1.12674	−	0.514563i	0.889521	+	0.456894i	$0.151038\pi$
$578$	−15.3409	+	9.76612i	−0.638095	+	0.406217i
$579$	−26.1285	−	22.6405i	−1.08586	−	0.940906i
$580$	−6.44534	−	21.2589i	−0.267628	−	0.882729i
$581$	1.33715	+	1.54315i	0.0554743	+	0.0640208i
$582$	−10.9490	−	24.2501i	−0.453852	−	1.00520i
$583$	−21.5942	−	6.34063i	−0.894341	−	0.262602i
$584$	4.39171	+	0.689298i	0.181730	+	0.0285233i
$585$	−2.13388	−	13.2089i	−0.0882250	−	0.546123i
$586$	1.21708	−	8.21437i	0.0502771	−	0.339333i
$587$	−4.69341	+	10.2771i	−0.193718	+	0.424183i	−0.981420	−	0.191874i	$-0.938544\pi$
$587$	−4.69341	+	10.2771i	−0.193718	+	0.424183i	0.787702	+	0.616057i	$0.211271\pi$
$588$	13.3591	+	29.9300i	0.550918	+	1.23429i
$589$	−28.2700	−	43.9890i	−1.16484	−	1.81253i
$590$	0.132424	−	0.0407705i	0.00545180	−	0.00167849i
$591$	−19.2759	+	2.77146i	−0.792906	+	0.114003i
$592$	−38.4806	+	10.5844i	−1.58154	+	0.435016i
$593$	−5.35626	+	8.33450i	−0.219955	+	0.342257i	−0.933642	−	0.358208i	$-0.883388\pi$
$593$	−5.35626	+	8.33450i	−0.219955	+	0.342257i	0.713687	+	0.700465i	$0.247024\pi$
$594$	3.65124	−	7.90508i	0.149812	−	0.324350i
$595$	−0.561292	+	0.374649i	−0.0230107	+	0.0153591i
$596$	−18.8314	+	28.7561i	−0.771364	+	1.17790i
$597$	6.16828			0.252451
$598$	3.52606	+	15.7432i	0.144191	+	0.643786i
$599$			15.6089i			0.637764i	0.947794	+	0.318882i	$0.103307\pi$
$599$			15.6089i			0.637764i	−0.947794	+	0.318882i	$0.896693\pi$
$600$	31.6558	−	10.0511i	1.29234	−	0.410334i
$601$	−26.2016	+	7.69348i	−1.06879	+	0.313824i	−0.768384	−	0.639989i	$-0.778939\pi$
$601$	−26.2016	+	7.69348i	−1.06879	+	0.313824i	−0.300402	+	0.953813i	$0.597121\pi$
$602$	0.732847	−	1.58664i	0.0298686	−	0.0646667i
$603$	10.6806	−	16.6193i	0.434947	−	0.676790i
$604$	−5.37723	+	17.7478i	−0.218796	+	0.722146i
$605$	−36.8991	+	17.6319i	−1.50016	+	0.716839i
$606$	27.8288	+	0.119521i	1.13047	+	0.00485520i
$607$	−7.19753	+	4.62557i	−0.292139	+	0.187746i	−0.678498	−	0.734602i	$-0.737369\pi$
$607$	−7.19753	+	4.62557i	−0.292139	+	0.187746i	0.386359	+	0.922348i	$0.373732\pi$
$608$	46.6159	+	14.7821i	1.89052	+	0.599492i
$609$	−1.57383	−	0.718744i	−0.0637748	−	0.0291250i
$610$	3.44085	+	21.8961i	0.139316	+	0.886548i
$611$	13.0385	+	1.87465i	0.527481	+	0.0758403i
$612$	−4.33277	+	9.27576i	−0.175142	+	0.374950i
$613$	−0.263320	−	0.0773177i	−0.0106354	−	0.00312283i	0.276411	−	0.961040i	$-0.410855\pi$
$613$	−0.263320	−	0.0773177i	−0.0106354	−	0.00312283i	−0.287046	+	0.957917i	$0.592673\pi$
$614$	−6.20564	−	13.7444i	−0.250439	−	0.554678i
$615$	3.63964	−	5.88564i	0.146764	−	0.237332i
$616$	−0.611483	−	2.18634i	−0.0246373	−	0.0880902i
$617$	−1.57200	+	1.81418i	−0.0632862	+	0.0730361i	−0.786510	−	0.617578i	$-0.788114\pi$
$617$	−1.57200	+	1.81418i	−0.0632862	+	0.0730361i	0.723224	+	0.690614i	$0.242660\pi$
$618$	12.2004	+	19.1646i	0.490771	+	0.770915i
$619$	−11.1292	−	24.3695i	−0.447319	−	0.979492i	−0.990197	−	0.139680i	$-0.955393\pi$
$619$	−11.1292	−	24.3695i	−0.447319	−	0.979492i	0.542878	−	0.839812i	$-0.317335\pi$
$620$	17.5339	−	20.5977i	0.704179	−	0.827222i
$621$	−4.76129	+	2.66472i	−0.191064	+	0.106932i
$622$	1.03809	+	3.59242i	0.0416236	+	0.144043i
$623$	−0.509028	−	1.11462i	−0.0203938	−	0.0446562i
$624$	22.0605	+	3.55964i	0.883127	+	0.142500i
$625$	11.9386	+	21.9652i	0.477544	+	0.878608i
$626$	12.8356	+	3.82883i	0.513014	+	0.153031i
$627$	−71.9550	−	83.0404i	−2.87360	−	3.31632i
$628$	−16.4449	−	19.3112i	−0.656224	−	0.770599i
$629$	19.4806	+	5.72001i	0.776741	+	0.228072i
$630$	0.476042	−	1.07950i	0.0189660	−	0.0430085i
$631$	−2.89710	+	20.1498i	−0.115332	+	0.802149i	0.847257	+	0.531183i	$0.178252\pi$
$631$	−2.89710	+	20.1498i	−0.115332	+	0.802149i	−0.962589	+	0.270966i	$0.912657\pi$
$632$	10.3278	+	23.4084i	0.410820	+	0.931135i
$633$	45.7442	+	20.8907i	1.81817	+	0.830330i
$634$	6.65834	−	0.928156i	0.264437	−	0.0368618i
$635$	11.3391	+	9.48576i	0.449980	+	0.376431i
$636$	18.7883	−	5.34189i	0.745006	−	0.211820i
$637$	−16.4297	+	2.36224i	−0.650969	+	0.0935952i
$638$	−31.8942	−	20.6912i	−1.26270	−	0.819174i
$639$	7.64465	−	11.8953i	0.302418	−	0.470571i
$640$	−0.321259	+	25.2962i	−0.0126989	+	0.999919i
$641$	3.69629	+	12.5884i	0.145995	+	0.497212i	0.999724	−	0.0235054i	$-0.00748268\pi$
$641$	3.69629	+	12.5884i	0.145995	+	0.497212i	−0.853729	+	0.520717i	$0.825665\pi$
$642$	0.868263	−	0.745849i	0.0342676	−	0.0294363i
$643$		−	14.9205i		−	0.588407i	−0.955743	−	0.294203i	$-0.904946\pi$
$643$		−	14.9205i		−	0.588407i	0.955743	−	0.294203i	$-0.0950543\pi$
$644$	−0.494674	+	1.33378i	−0.0194929	+	0.0525582i
$645$	41.7653	−	13.0553i	1.64451	−	0.514052i
$646$	−16.2109	−	18.8716i	−0.637811	−	0.742492i
$647$	45.7817	−	13.4427i	1.79986	−	0.528487i	0.802215	−	0.597035i	$-0.203655\pi$
$647$	45.7817	−	13.4427i	1.79986	−	0.528487i	0.997648	+	0.0685481i	$0.0218367\pi$
$648$	3.74434	+	28.6591i	0.147091	+	1.12583i
$649$	0.128201	−	0.199485i	0.00503234	−	0.00783047i
$650$	0.511829	+	16.8122i	0.0200756	+	0.659430i
$651$	−0.299828	−	2.08535i	−0.0117512	−	0.0817314i
$652$	−5.14237	+	1.46207i	−0.201391	+	0.0572593i
$653$	−12.4420	−	19.3601i	−0.486892	−	0.757618i	0.507694	−	0.861537i	$-0.330498\pi$
$653$	−12.4420	−	19.3601i	−0.486892	−	0.757618i	−0.994586	+	0.103919i	$0.966862\pi$
$654$	42.4136	−	5.91234i	1.65850	−	0.231191i
$655$	3.10556	−	24.6283i	0.121344	−	0.962309i
$656$	3.38282	+	4.04226i	0.132077	+	0.157824i
$657$	3.91350	+	0.562677i	0.152680	+	0.0219521i
$658$	0.874528	+	0.764384i	0.0340927	+	0.0297988i
$659$	24.1316	+	7.08568i	0.940034	+	0.276019i	0.715632	−	0.698478i	$-0.246139\pi$
$659$	24.1316	+	7.08568i	0.940034	+	0.276019i	0.224402	+	0.974497i	$0.427957\pi$
$660$	30.3098	−	48.0855i	1.17981	−	1.87173i
$661$	−7.45535	+	6.46009i	−0.289979	+	0.251269i	−0.787686	−	0.616077i	$-0.788721\pi$
$661$	−7.45535	+	6.46009i	−0.289979	+	0.251269i	0.497707	+	0.867345i	$0.334176\pi$
$662$	10.6429	−	35.6789i	0.413649	−	1.38670i
$663$	−8.59124	−	7.44436i	−0.333656	−	0.289115i
$664$	−35.2101	−	16.6315i	−1.36642	−	0.645426i
$665$	1.91481	+	2.13379i	0.0742533	+	0.0827450i
$666$	−34.1000	+	9.85378i	−1.32135	+	0.381826i
$667$	8.55750	+	22.2323i	0.331348	+	0.860839i
$668$	0.279874	−	0.176486i	0.0108287	−	0.00682844i
$669$	2.14764	+	4.70268i	0.0830327	+	0.181816i
$670$	−16.0163	+	18.9794i	−0.618762	+	0.733238i
$671$	28.6678	+	24.8408i	1.10671	+	0.958968i
$672$	1.46105	+	1.32199i	0.0563612	+	0.0509968i
$673$	25.7174	−	22.2843i	0.991333	−	0.858995i	0.00132421	−	0.999999i	$-0.499578\pi$
$673$	25.7174	−	22.2843i	0.991333	−	0.858995i	0.990009	+	0.141004i	$0.0450330\pi$
$674$	17.6776	+	39.1527i	0.680916	+	1.50811i
$675$	−5.39917	+	1.79120i	−0.207814	+	0.0689432i
$676$	6.21423	−	13.3037i	0.239009	−	0.511679i
$677$	3.45606	−	24.0374i	0.132827	−	0.923833i	−0.809018	−	0.587785i	$-0.800000\pi$
$677$	3.45606	−	24.0374i	0.132827	−	0.923833i	0.941845	−	0.336049i	$-0.109091\pi$
$678$	4.81212	−	32.4782i	0.184808	−	1.24732i
$679$	1.08077	+	0.493570i	0.0414760	+	0.0189415i
$680$	6.90936	−	10.8578i	0.264962	−	0.416378i
$681$	23.0234	+	35.8252i	0.882260	+	1.37282i
$682$	0.198822	−	46.2930i	0.00761330	−	1.77265i
$683$	−2.77849	−	19.3248i	−0.106316	−	0.739443i	−0.971337	−	0.237707i	$-0.923604\pi$
$683$	−2.77849	−	19.3248i	−0.106316	−	0.739443i	0.865021	−	0.501736i	$-0.167305\pi$
$684$	41.6255	+	12.6117i	1.59159	+	0.482221i
$685$	5.24489	−	19.0821i	0.200397	−	0.729091i
$686$	−2.66161	−	1.22936i	−0.101621	−	0.0469372i
$687$	0.0299375	+	0.101958i	0.00114219	+	0.00388993i
$688$	−0.572566	+	33.3254i	−0.0218289	+	1.27052i
$689$			9.89203i			0.376856i
$690$	−33.0697	+	13.2277i	−1.25894	+	0.503571i
$691$			2.38895i			0.0908801i	0.998967	+	0.0454400i	$0.0144690\pi$
$691$			2.38895i			0.0908801i	−0.998967	+	0.0454400i	$0.985531\pi$
$692$	24.3842	−	37.2354i	0.926948	−	1.41548i
$693$	−0.568853	−	1.93733i	−0.0216089	−	0.0735933i
$694$	−9.97689	+	21.6003i	−0.378717	+	0.819938i
$695$	3.72331	+	1.02338i	0.141233	+	0.0388191i
$696$	32.9933	+	0.425126i	1.25061	+	0.0161144i
$697$	−0.381613	−	2.65418i	−0.0144546	−	0.100534i
$698$	2.59348	+	0.0111387i	0.0981647	+	0.000421604i
$699$	19.6576	+	30.5879i	0.743519	+	1.15694i
$700$	−0.768949	+	1.26821i	−0.0290636	+	0.0479338i
$701$	13.8874	+	6.34218i	0.524521	+	0.239541i	0.660035	−	0.751235i	$-0.270541\pi$
$701$	13.8874	+	6.34218i	0.524521	+	0.239541i	−0.135514	+	0.990775i	$0.543269\pi$
$702$	−3.78592	−	0.560940i	−0.142890	−	0.0211713i
$703$	12.2753	−	85.3769i	0.462973	−	3.22005i
$704$	27.5000	+	33.4402i	1.03644	+	1.26032i
$705$	0.504955	+	29.0766i	0.0190177	+	1.09509i
$706$	21.6171	−	9.76021i	0.813570	−	0.367330i
$707$	−0.939164	+	0.813790i	−0.0353209	+	0.0306057i
$708$	−0.00176778	+	0.205798i	−6.64372e−5	+	0.00773435i
$709$	−9.78469	−	8.47848i	−0.367472	−	0.318416i	0.451477	−	0.892283i	$-0.350897\pi$
$709$	−9.78469	−	8.47848i	−0.367472	−	0.318416i	−0.818949	+	0.573867i	$0.805443\pi$
$710$	−11.4637	+	13.5846i	−0.430225	+	0.509819i
$711$	9.45292	+	20.6990i	0.354512	+	0.776273i
$712$	17.4620	+	15.5293i	0.654418	+	0.581986i
$713$	−17.1406	+	23.4021i	−0.641919	+	0.876416i
$714$	−0.278266	−	0.962968i	−0.0104138	−	0.0360382i
$715$	19.2256	+	21.4243i	0.718997	+	0.801223i
$716$	−19.9666	−	17.6037i	−0.746188	−	0.657882i
$717$	10.2679	+	8.89719i	0.383462	+	0.332272i
$718$	30.2776	+	9.03173i	1.12995	+	0.337061i
$719$	17.0573	−	14.7802i	0.636130	−	0.551210i	−0.275976	−	0.961165i	$-0.589001\pi$
$719$	17.0573	−	14.7802i	0.636130	−	0.551210i	0.912106	+	0.409955i	$0.134456\pi$
$720$	0.00416891	+	22.4999i	0.000155366	+	0.838522i
$721$	−0.973392	−	0.285814i	−0.0362510	−	0.0106443i
$722$	−51.8731	+	59.3478i	−1.93052	+	2.20870i
$723$	−24.7152	−	3.55351i	−0.919167	−	0.132156i
$724$	−6.14264	+	0.829390i	−0.228290	+	0.0308240i
$725$	4.38609	+	24.4462i	0.162895	+	0.907910i
$726$	−8.38638	−	60.1617i	−0.311248	−	2.23281i
$727$	24.9434	+	38.8127i	0.925100	+	1.43948i	0.898072	+	0.439849i	$0.144968\pi$
$727$	24.9434	+	38.8127i	0.925100	+	1.43948i	0.0270281	+	0.999635i	$0.491396\pi$
$728$	−0.846320	+	0.528614i	−0.0313667	+	0.0195917i
$729$	2.51752	+	17.5098i	0.0932417	+	0.648510i
$730$	−4.78676	−	1.33782i	−0.177166	−	0.0495149i
$731$	9.16706	−	14.2642i	0.339056	−	0.527581i
$732$	−32.5457	−	4.96506i	−1.20292	−	0.183514i
$733$	−15.8769	+	4.66189i	−0.586428	+	0.172191i	−0.561469	−	0.827498i	$-0.689764\pi$
$733$	−15.8769	+	4.66189i	−0.586428	+	0.172191i	−0.0249589	+	0.999688i	$0.507945\pi$
$734$	10.8046	−	9.28130i	0.398805	−	0.342579i
$735$	−10.9330	−	34.9758i	−0.403269	−	1.29010i
$736$	−1.63650	−	27.0799i	−0.0603222	−	0.998179i
$737$			42.5013i			1.56556i
$738$	3.05471	+	3.55607i	0.112445	+	0.130901i
$739$	−5.65369	−	19.2547i	−0.207974	−	0.708295i	−0.995730	−	0.0923083i	$-0.970575\pi$
$739$	−5.65369	−	19.2547i	−0.207974	−	0.708295i	0.787756	−	0.615987i	$-0.211243\pi$
$740$	44.1088	−	6.73746i	1.62147	−	0.247674i
$741$	−26.1102	+	40.6283i	−0.959183	+	1.49252i
$742$	−0.474713	+	0.731739i	−0.0174273	+	0.0268630i
$743$	−4.38446	+	0.630391i	−0.160850	+	0.0231268i	−0.222269	−	0.974985i	$-0.571346\pi$
$743$	−4.38446	+	0.630391i	−0.160850	+	0.0231268i	0.0614191	+	0.998112i	$0.480437\pi$
$744$	21.2848	+	34.0773i	0.780338	+	1.24933i
$745$	24.6586	−	29.4766i	0.903423	−	1.07994i
$746$	−3.96670	−	28.4561i	−0.145231	−	1.04185i
$747$	−31.5034	−	14.3871i	−1.15265	−	0.526397i
$748$	−2.94716	−	21.8273i	−0.107759	−	0.798085i
$749$	−0.00727411	+	0.0505925i	−0.000265790	+	0.00184861i
$750$	−36.4610	+	7.03481i	−1.33137	+	0.256875i
$751$	−29.3706	−	8.62398i	−1.07175	−	0.314694i	−0.302175	−	0.953253i	$-0.597713\pi$
$751$	−29.3706	−	8.62398i	−1.07175	−	0.314694i	−0.769573	+	0.638559i	$0.779531\pi$
$752$	−21.1432	−	6.60478i	−0.771012	−	0.240851i
$753$	−36.5042	−	42.1281i	−1.33029	−	1.53523i
$754$	−4.77659	+	16.0128i	−0.173953	+	0.583153i
$755$	8.28417	−	19.0064i	0.301492	−	0.691715i
$756$	−0.253135	−	0.223179i	−0.00920645	−	0.00811693i
$757$	−12.6064	−	27.6042i	−0.458188	−	1.00329i	−0.987897	−	0.155113i	$-0.950426\pi$
$757$	−12.6064	−	27.6042i	−0.458188	−	1.00329i	0.529708	−	0.848180i	$-0.322301\pi$
$758$	15.8509	−	4.58038i	0.575730	−	0.166367i
$759$	−28.6530	+	53.8010i	−1.04004	+	1.95285i
$760$	−49.8361	−	22.4901i	−1.80774	−	0.815801i
$761$	−9.18296	−	20.1079i	−0.332882	−	0.728910i	0.666988	−	0.745069i	$-0.267583\pi$
$761$	−9.18296	−	20.1079i	−0.332882	−	0.728910i	−0.999869	+	0.0161592i	$0.994856\pi$
$762$	−18.5236	+	11.7923i	−0.671041	+	0.427190i
$763$	−1.25227	+	1.44520i	−0.0453353	+	0.0523197i
$764$	14.8737	+	0.127764i	0.538113	+	0.00462233i
$765$	6.02016	−	9.73517i	0.217659	−	0.351976i
$766$	42.2643	−	19.0825i	1.52707	−	0.689479i
$767$	−0.100003	−	0.0293637i	−0.00361092	−	0.00106026i
$768$	−35.6693	−	11.8188i	−1.28711	−	0.426473i
$769$	−15.2050	−	2.18614i	−0.548305	−	0.0788343i	−0.137405	−	0.990515i	$-0.543876\pi$
$769$	−15.2050	−	2.18614i	−0.548305	−	0.0788343i	−0.410900	+	0.911681i	$0.634785\pi$
$770$	0.394029	+	2.50744i	0.0141998	+	0.0903618i
$771$	−16.9033	−	7.71948i	−0.608757	−	0.278010i
$772$	−26.8857	+	12.0003i	−0.967638	+	0.431899i
$773$	26.7294	−	17.1780i	0.961390	−	0.617848i	0.0370078	−	0.999315i	$-0.488217\pi$
$773$	26.7294	−	17.1780i	0.961390	−	0.617848i	0.924382	+	0.381467i	$0.124581\pi$
$774$	−0.127314	+	29.6433i	−0.00457621	+	1.06551i
$775$	−22.1545	+	20.5865i	−0.795815	+	0.739489i
$776$	−22.6569	−	0.291939i	−0.813334	−	0.0104800i
$777$	1.87887	−	2.92359i	0.0674043	−	0.104883i
$778$	38.9441	+	17.9877i	1.39621	+	0.644890i
$779$	−10.9305	+	3.20947i	−0.391625	+	0.114991i
$780$	−24.0323	−	6.82803i	−0.860493	−	0.244483i
$781$			30.4204i			1.08853i
$782$	−6.53978	+	12.1535i	−0.233862	+	0.434608i
$783$	−5.65135			−0.201963
$784$	27.9079	+	0.479487i	0.996711	+	0.0171245i
$785$	15.7436	+	23.5867i	0.561913	+	0.841847i
$786$	33.4730	+	15.4607i	1.19394	+	0.551465i
$787$	−5.49666	+	8.55298i	−0.195935	+	0.304881i	−0.925294	−	0.379250i	$-0.876182\pi$
$787$	−5.49666	+	8.55298i	−0.195935	+	0.304881i	0.729359	+	0.684131i	$0.239818\pi$
$788$	−4.80881	+	15.8717i	−0.171307	+	0.565405i
$789$	36.2191	−	5.20752i	1.28943	−	0.185393i
$790$	−8.41710	−	27.3390i	−0.299467	−	0.972679i
$791$	0.792650	+	1.23339i	0.0281834	+	0.0438542i
$792$	24.8393	+	29.4236i	0.882625	+	1.04552i
$793$	6.92609	−	15.1660i	0.245953	−	0.538562i
$794$	−51.5715	−	7.64107i	−1.83020	−	0.271171i
$795$	−21.5590	+	3.48282i	−0.764620	+	0.123523i
$796$	2.22309	−	4.75928i	0.0787955	−	0.168688i
$797$	26.6840	+	7.83513i	0.945196	+	0.277535i	0.717786	−	0.696264i	$-0.245156\pi$
$797$	26.6840	+	7.83513i	0.945196	+	0.277535i	0.227411	+	0.973799i	$0.426974\pi$
$798$	−3.88117	+	1.75237i	−0.137392	+	0.0620331i
$799$	7.37937	+	8.51624i	0.261063	+	0.301283i
$800$	3.65383	−	28.0473i	0.129183	−	0.991621i
$801$	15.7072	+	13.6103i	0.554985	+	0.480898i
$802$	4.27946	+	6.72228i	0.151113	+	0.237372i
$803$	−7.73732	+	3.53352i	−0.273044	+	0.124695i
$804$	−19.6754	−	31.2016i	−0.693899	−	1.10040i
$805$	0.723136	−	1.41656i	0.0254872	−	0.0499273i
$806$	−19.5476	+	5.64862i	−0.688536	+	0.198964i
$807$	8.60068	+	18.8329i	0.302758	+	0.662948i
$808$	10.1219	−	21.4289i	0.356088	−	0.753866i
$809$	17.7797	−	20.5188i	0.625100	−	0.721404i	−0.351567	−	0.936163i	$-0.614351\pi$
$809$	17.7797	−	20.5188i	0.625100	−	0.721404i	0.976667	+	0.214759i	$0.0688966\pi$
$810$	−0.422328	−	32.3114i	−0.0148391	−	1.13531i
$811$	22.9996	−	19.9292i	0.807623	−	0.699810i	−0.149731	−	0.988727i	$-0.547841\pi$
$811$	22.9996	−	19.9292i	0.807623	−	0.699810i	0.957354	+	0.288917i	$0.0932952\pi$
$812$	−1.12179	+	0.955286i	−0.0393669	+	0.0335240i
$813$	−3.65042	+	12.4322i	−0.128026	+	0.436016i
$814$	50.2548	−	57.4964i	1.76143	−	2.01525i
$815$	5.90070	−	0.953247i	0.206693	−	0.0333908i
$816$	12.2683	+	14.6598i	0.429475	+	0.513196i
$817$	−65.5255	−	29.9245i	−2.29245	−	1.04693i
$818$	0.285209	+	2.04602i	0.00997210	+	0.0715372i
$819$	−0.746586	+	0.479801i	−0.0260878	+	0.0167656i
$820$	−3.22945	−	4.92948i	−0.112777	−	0.172145i
$821$	5.16076	+	35.8938i	0.180112	+	1.25270i	0.856495	+	0.516155i	$0.172637\pi$
$821$	5.16076	+	35.8938i	0.180112	+	1.25270i	−0.676384	+	0.736549i	$0.736454\pi$
$822$	24.6598	+	15.9979i	0.860108	+	0.557992i
$823$	−2.05832	−	1.32280i	−0.0717485	−	0.0461100i	0.504275	−	0.863543i	$-0.331760\pi$
$823$	−2.05832	−	1.32280i	−0.0717485	−	0.0461100i	−0.576023	+	0.817433i	$0.695396\pi$
$824$	19.1840	−	2.50642i	0.668308	−	0.0873151i
$825$	−39.9238	+	49.4441i	−1.38997	+	1.72142i
$826$	−0.00598837	−	0.00697122i	−0.000208362	−	0.000242560i
$827$			19.1557i			0.666109i	0.942908	+	0.333055i	$0.108079\pi$
$827$			19.1557i			0.666109i	−0.942908	+	0.333055i	$0.891921\pi$
$828$	−1.76567	−	24.0638i	−0.0613612	−	0.836274i
$829$	−20.1726			−0.700624			−0.350312	−	0.936633i	$-0.613924\pi$
$829$	−20.1726			−0.700624			−0.350312	+	0.936633i	$0.613924\pi$
$830$	36.9299	+	23.0570i	1.28186	+	0.800322i
$831$	−3.64155	−	12.4020i	−0.126324	−	0.430220i
$832$	10.6973	−	15.7384i	0.370862	−	0.545631i
$833$	−11.9454	−	7.67682i	−0.413882	−	0.265986i
$834$	−3.12152	+	4.81162i	−0.108089	+	0.166613i
$835$	−0.333778	+	0.159493i	−0.0115509	+	0.00551948i
$836$	−90.0050	+	25.5902i	−3.11289	+	0.885054i
$837$	−3.72042	−	5.78908i	−0.128596	−	0.200100i
$838$	1.66725	+	11.9604i	0.0575943	+	0.413166i
$839$	13.1194	−	28.7274i	0.452931	−	0.991781i	−0.536111	−	0.844148i	$-0.680107\pi$
$839$	13.1194	−	28.7274i	0.452931	−	0.991781i	0.989042	−	0.147634i	$-0.0471657\pi$
$840$	−1.45006	−	1.65838i	−0.0500317	−	0.0572196i
$841$	0.615620	−	4.28173i	0.0212283	−	0.147646i
$842$	35.3955	+	30.9375i	1.21981	+	1.06618i
$843$	−9.47504	+	32.2690i	−0.326338	+	1.11140i
$844$	32.6053	−	27.7659i	1.12232	−	0.955741i
$845$	−8.63435	+	13.9626i	−0.297031	+	0.480327i
$846$	−18.8786	−	5.63143i	−0.649059	−	0.193613i
$847$	2.04995	+	1.77629i	0.0704370	+	0.0610340i
$848$	2.64980	−	16.4219i	0.0909944	−	0.563929i
$849$	−33.5803	+	15.3356i	−1.15247	+	0.526317i
$850$	−9.08743	+	11.1561i	−0.311696	+	0.382650i
$851$	−46.6479	+	10.6585i	−1.59907	+	0.365369i
$852$	−14.0827	−	22.3326i	−0.482467	−	0.765104i
$853$	−23.3345	+	10.6565i	−0.798959	+	0.364873i	−0.772691	−	0.634782i	$-0.781090\pi$
$853$	−23.3345	+	10.6565i	−0.798959	+	0.364873i	−0.0262684	+	0.999655i	$0.508362\pi$
$854$	1.24015	−	0.789492i	0.0424371	−	0.0270158i
$855$	−44.5776	−	19.4296i	−1.52452	−	0.664480i
$856$	−0.262549	−	0.938739i	−0.00897375	−	0.0320854i
$857$	−14.1271	+	12.2412i	−0.482572	+	0.418151i	−0.861874	−	0.507122i	$-0.830709\pi$
$857$	−14.1271	+	12.2412i	−0.482572	+	0.418151i	0.379303	+	0.925273i	$0.376164\pi$
$858$	−38.9688	+	17.5946i	−1.33037	+	0.600668i
$859$	−8.97570	+	30.5684i	−0.306247	+	1.04298i	0.652280	+	0.757978i	$0.273813\pi$
$859$	−8.97570	+	30.5684i	−0.306247	+	1.04298i	−0.958527	+	0.285003i	$0.908005\pi$
$860$	4.97942	−	36.9303i	0.169797	−	1.25931i
$861$	−0.454317	−	0.0653210i	−0.0154831	−	0.00222613i
$862$	−0.982010	+	6.62783i	−0.0334474	+	0.225745i
$863$	16.6599	−	36.4802i	0.567111	−	1.24180i	−0.381210	−	0.924488i	$-0.624493\pi$
$863$	16.6599	−	36.4802i	0.567111	−	1.24180i	0.948321	−	0.317312i	$-0.102780\pi$
$864$	6.13479	+	1.94536i	0.208710	+	0.0661826i
$865$	−31.9297	+	38.1684i	−1.08564	+	1.29776i
$866$	48.8218	+	0.209683i	1.65903	+	0.00712532i
$867$	4.29793	+	29.8928i	0.145965	+	1.01521i
$868$	−1.71706	−	0.520237i	−0.0582810	−	0.0176580i
$869$	−41.1839	−	26.4673i	−1.39707	−	0.897840i
$870$	−36.5807	−	4.77241i	−1.24020	−	0.161800i
$871$	17.9240	−	5.26295i	0.607330	−	0.178328i
$872$	10.7244	−	34.8561i	0.363173	−	1.18038i
$873$	−20.1524			−0.682055
$874$	55.0611	+	20.1526i	1.86247	+	0.681672i
$875$	1.01915	−	1.30801i	0.0344535	−	0.0442187i
$876$	4.04443	−	6.17596i	0.136649	−	0.208667i
$877$	13.1650	+	44.8357i	0.444549	+	1.51399i	0.811835	+	0.583886i	$0.198469\pi$
$877$	13.1650	+	44.8357i	0.444549	+	1.51399i	−0.367286	+	0.930108i	$0.619713\pi$
$878$	39.2023	+	18.1070i	1.32301	+	0.611080i
$879$	−11.6010	−	7.45553i	−0.391293	−	0.251469i
$880$	−26.1777	−	40.7167i	−0.882449	−	1.37256i
$881$	14.5432	−	2.09100i	0.489974	−	0.0704476i	0.107100	−	0.994248i	$-0.465844\pi$
$881$	14.5432	−	2.09100i	0.489974	−	0.0704476i	0.382874	+	0.923801i	$0.374934\pi$
$882$	24.8243	+	0.106617i	0.835879	+	0.00358999i
$883$	−35.5234	+	22.8295i	−1.19546	+	0.768273i	−0.978164	−	0.207834i	$-0.933359\pi$
$883$	−35.5234	+	22.8295i	−1.19546	+	0.768273i	−0.217292	+	0.976107i	$0.569722\pi$
$884$	−8.84022	+	3.94578i	−0.297329	+	0.132711i
$885$	0.0287866	−	0.228289i	0.000967652	−	0.00767387i
$886$	2.05492	−	13.8692i	0.0690364	−	0.465944i
$887$	−4.13344	+	28.7487i	−0.138787	+	0.965288i	0.794783	+	0.606894i	$0.207585\pi$
$887$	−4.13344	+	28.7487i	−0.138787	+	0.965288i	−0.933570	+	0.358394i	$0.883324\pi$
$888$	−10.2766	+	65.4748i	−0.344859	+	2.19719i
$889$	0.276254	−	0.940835i	0.00926526	−	0.0315546i
$890$	−17.3659	−	19.5199i	−0.582108	−	0.654310i
$891$	−36.2154	−	41.7948i	−1.21326	−	1.40018i
$892$	4.40249	+	0.0378170i	0.147406	+	0.00126621i
$893$	31.3504	−	36.1802i	1.04910	−	1.21073i
$894$	30.6546	+	48.1530i	1.02524	+	1.61048i
$895$	19.8767	+	22.1498i	0.664404	+	0.740386i
$896$	1.54658	−	0.650852i	0.0516678	−	0.0217435i
$897$	26.2374	+	5.42155i	0.876043	+	0.181020i
$898$	−12.8489	+	3.71290i	−0.428772	+	0.123901i
$899$	−27.3300	+	12.4812i	−0.911507	+	0.416271i
$900$	2.92801	−	24.9847i	0.0976003	−	0.832822i
$901$	−5.54158	+	6.39533i	−0.184617	+	0.213059i
$902$	−9.66471	−	2.88296i	−0.321800	−	0.0959920i
$903$	−1.90064	−	2.19345i	−0.0632492	−	0.0729935i
$904$	−23.3250	−	15.4183i	−0.775778	−	0.512805i
$905$	6.92896	−	0.120331i	0.230326	−	0.00399994i
$906$	23.1872	+	20.2669i	0.770345	+	0.673322i
$907$	−21.2933	−	3.06151i	−0.707031	−	0.101656i	−0.220587	−	0.975367i	$-0.570797\pi$
$907$	−21.2933	−	3.06151i	−0.707031	−	0.101656i	−0.486444	+	0.873712i	$0.661706\pi$
$908$	35.9396	−	4.85262i	1.19270	−	0.161040i
$909$	8.75600	−	19.1730i	0.290418	−	0.635927i
$910$	1.00866	−	0.476670i	0.0334368	−	0.0158014i
$911$	9.27098	−	5.95810i	0.307161	−	0.197401i	−0.377974	−	0.925816i	$-0.623379\pi$
$911$	9.27098	−	5.95810i	0.307161	−	0.197401i	0.685136	+	0.728415i	$0.259743\pi$
$912$	54.2290	−	60.4532i	1.79570	−	2.00181i
$913$	73.7504	−	10.6037i	2.44078	−	0.350932i
$914$	−41.6685	−	27.0323i	−1.37827	−	0.894149i
$915$	35.4919	+	9.75526i	1.17333	+	0.322499i
$916$	0.0894576	+	0.0136473i	0.00295576	+	0.000450921i
$917$	−1.57977	+	0.463861i	−0.0521685	+	0.0153180i
$918$	−2.13341	−	2.48356i	−0.0704129	−	0.0819695i
$919$	38.8224			1.28063			0.640317	−	0.768111i	$-0.278803\pi$
$919$	38.8224			1.28063			0.640317	+	0.768111i	$0.278803\pi$
$920$	−1.71241	+	30.2831i	−0.0564565	+	0.998405i
$921$	−25.0433			−0.825206
$922$	−16.8726	−	19.6419i	−0.555670	−	0.646870i
$923$	12.8291	−	3.76697i	0.422276	−	0.123991i
$924$	−3.72697	−	0.568575i	−0.122608	−	0.0187047i
$925$	−49.8571	+	1.73220i	−1.63929	+	0.0569543i
$926$	−36.4643	−	23.6561i	−1.19829	−	0.777388i
$927$	17.0319	−	2.44882i	0.559401	−	0.0804297i
$928$	12.2191	−	25.3036i	0.401110	−	0.830630i
$929$	−48.4279	+	31.1227i	−1.58887	+	1.02110i	−0.616585	+	0.787288i	$0.711484\pi$
$929$	−48.4279	+	31.1227i	−1.58887	+	1.02110i	−0.972281	+	0.233814i	$0.924879\pi$
$930$	−19.1932	−	40.6140i	−0.629370	−	1.33179i
$931$	−25.0598	+	54.8734i	−0.821303	+	1.79840i
$932$	30.6856	−	4.14321i	1.00514	−	0.135715i
$933$	6.14665	+	0.883754i	0.201232	+	0.0289328i
$934$	−2.26210	−	1.97719i	−0.0740180	−	0.0646956i
$935$	0.427585	+	24.6214i	0.0139835	+	0.805206i
$936$	9.33290	−	14.1189i	0.305055	−	0.461492i
$937$	10.0211	+	11.5649i	0.327374	+	0.377810i	0.895447	−	0.445168i	$-0.146856\pi$
$937$	10.0211	+	11.5649i	0.327374	+	0.377810i	−0.568073	+	0.822978i	$0.692311\pi$
$938$	1.57845	+	0.470847i	0.0515382	+	0.0153737i
$939$	14.5665	−	16.8107i	0.475360	−	0.548595i
$940$	22.6167	+	10.0898i	0.737676	+	0.329093i
$941$	35.4772	−	16.2019i	1.15652	−	0.528166i	0.257590	−	0.966254i	$-0.417072\pi$
$941$	35.4772	−	16.2019i	1.15652	−	0.528166i	0.898932	+	0.438088i	$0.144344\pi$
$942$	−40.4661	+	11.6934i	−1.31846	+	0.380990i
$943$	3.83983	+	5.01939i	0.125042	+	0.163454i
$944$	0.158151	+	0.0755350i	0.00514738	+	0.00245846i
$945$	0.251995	+	0.280814i	0.00819740	+	0.00913487i
$946$	−34.2483	−	53.7981i	−1.11351	−	1.74913i
$947$	39.0308	−	45.0439i	1.26833	−	1.46373i	0.445670	−	0.895197i	$-0.352965\pi$
$947$	39.0308	−	45.0439i	1.26833	−	1.46373i	0.822660	−	0.568534i	$-0.192489\pi$
$948$	42.4871	+	0.364960i	1.37992	+	0.0118533i
$949$	2.44830	+	2.82548i	0.0794750	+	0.0917191i
$950$	52.4071	+	31.4689i	1.70031	+	1.02098i
$951$	3.14530	−	10.7119i	0.101993	−	0.347358i
$952$	−0.843290	−	0.132358i	−0.0273312	−	0.00428975i
$953$	−5.66554	+	39.4047i	−0.183525	+	1.27644i	0.664822	+	0.747002i	$0.268507\pi$
$953$	−5.66554	+	39.4047i	−0.183525	+	1.27644i	−0.848347	+	0.529441i	$0.822402\pi$
$954$	2.16832	−	14.6345i	0.0702020	−	0.473810i
$955$	−16.4993	−	2.08051i	−0.533905	−	0.0673238i
$956$	10.5655	−	4.71584i	0.341712	−	0.152521i
$957$	−53.1124	+	34.1333i	−1.71688	+	1.10337i
$958$	42.2095	+	0.181284i	1.36373	+	0.00585703i
$959$	−1.29924	+	0.186802i	−0.0419546	+	0.00603216i
$960$	38.0671	+	17.7728i	1.22861	+	0.573616i
$961$	−4.69849	−	3.01954i	−0.151564	−	0.0974045i
$962$	−30.4709	−	14.0740i	−0.982420	−	0.453765i
$963$	−0.244246	−	0.831824i	−0.00787070	−	0.0268052i
$964$	−11.6493	+	17.7889i	−0.375200	+	0.572941i
$965$	31.4183	−	9.82095i	1.01139	−	0.316147i
$966$	1.68068	+	1.66017i	0.0540748	+	0.0534150i
$967$	53.8788			1.73263			0.866313	−	0.499501i	$-0.166483\pi$
$967$	53.8788			1.73263			0.866313	+	0.499501i	$0.166483\pi$
$968$	−49.4417	−	15.2120i	−1.58912	−	0.488933i
$969$	−39.6408	+	11.6396i	−1.27345	+	0.373918i
$970$	25.1204	+	3.27727i	0.806567	+	0.105227i
$971$	−24.2370	−	15.5762i	−0.777804	−	0.499864i	0.0905004	−	0.995896i	$-0.471153\pi$
$971$	−24.2370	−	15.5762i	−0.777804	−	0.499864i	−0.868304	+	0.496032i	$0.834790\pi$
$972$	39.4023	+	11.9381i	1.26383	+	0.382916i
$973$	−0.0364489	−	0.253508i	−0.00116850	−	0.00812708i
$974$	35.4515	+	0.152259i	1.13594	+	0.00487870i
$975$	25.7957	+	10.7143i	0.826124	+	0.343131i
$976$	−15.5606	+	23.3220i	−0.498084	+	0.746518i
$977$	10.1708	−	22.2708i	0.325391	−	0.712507i	−0.674271	−	0.738484i	$-0.735542\pi$
$977$	10.1708	−	22.2708i	0.325391	−	0.712507i	0.999663	+	0.0259763i	$0.00826945\pi$
$978$	−1.30122	+	8.78229i	−0.0416086	+	0.280827i
$979$	−44.2581	−	6.36336i	−1.41450	−	0.203374i
$980$	−30.9267	−	4.16994i	−0.987918	−	0.133204i
$981$	9.13791	−	31.1208i	0.291751	−	0.993612i
$982$	4.04154	−	1.82477i	0.128971	−	0.0582308i
$983$	−14.5028	+	12.5668i	−0.462568	+	0.400817i	−0.854725	−	0.519081i	$-0.826274\pi$
$983$	−14.5028	+	12.5668i	−0.462568	+	0.400817i	0.392157	+	0.919898i	$0.371729\pi$
$984$	8.42981	−	2.35768i	0.268733	−	0.0751600i
$985$	7.40847	−	16.9973i	0.236053	−	0.541579i
$986$	−12.0586	+	7.67664i	−0.384025	+	0.244474i
$987$	1.75455	−	0.801275i	0.0558478	−	0.0255049i
$988$	21.9374	+	34.7887i	0.697922	+	1.10678i
$989$	−2.43482	+	39.8874i	−0.0774228	+	1.26835i
$990$	−23.7467	−	35.9099i	−0.754720	−	1.14129i
$991$	17.3996	−	7.94613i	0.552717	−	0.252417i	−0.119421	−	0.992844i	$-0.538104\pi$
$991$	17.3996	−	7.94613i	0.552717	−	0.252417i	0.672137	+	0.740427i	$0.265376\pi$
$992$	33.9643	−	4.14108i	1.07837	−	0.131479i
$993$	−46.7283	−	40.4903i	−1.48288	−	1.28492i
$994$	1.12978	+	0.337010i	0.0358344	+	0.0106893i
$995$	−3.08887	+	4.99500i	−0.0979239	+	0.158352i
$996$	−49.2338	+	41.9263i	−1.56003	+	1.32849i
$997$	−14.8959	+	50.7309i	−0.471759	+	1.60666i	0.288796	+	0.957391i	$0.406745\pi$
$997$	−14.8959	+	50.7309i	−0.471759	+	1.60666i	−0.760555	+	0.649273i	$0.775073\pi$
$998$	−41.6545	−	36.4083i	−1.31855	−	1.15248i
$999$	1.61547	−	11.2359i	0.0511113	−	0.355487i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	460.2.o.b.19.20	✓	640
4.3	odd	2	inner	460.2.o.b.19.35	yes	640
5.4	even	2	inner	460.2.o.b.19.45	yes	640
20.19	odd	2	inner	460.2.o.b.19.30	yes	640
23.17	odd	22	inner	460.2.o.b.339.30	yes	640
92.63	even	22	inner	460.2.o.b.339.45	yes	640
115.109	odd	22	inner	460.2.o.b.339.35	yes	640
460.339	even	22	inner	460.2.o.b.339.20	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
460.2.o.b.19.20	✓	640	1.1	even	1	trivial
460.2.o.b.19.30	yes	640	20.19	odd	2	inner
460.2.o.b.19.35	yes	640	4.3	odd	2	inner
460.2.o.b.19.45	yes	640	5.4	even	2	inner
460.2.o.b.339.20	yes	640	460.339	even	22	inner
460.2.o.b.339.30	yes	640	23.17	odd	22	inner
460.2.o.b.339.35	yes	640	115.109	odd	22	inner
460.2.o.b.339.45	yes	640	92.63	even	22	inner

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:	\( N \)	\(=\)	\( 460 = 2^{2} \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	460.o (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.921514 - 1.07276i) q^{2} +(-2.25339 + 0.661656i) q^{3} +(-0.301623 + 1.97713i) q^{4} +(0.592624 - 2.15611i) q^{5} +(2.78633 + 1.80762i) q^{6} +(-0.146802 + 0.0211070i) q^{7} +(2.39893 - 1.49838i) q^{8} +(2.11623 - 1.36002i) q^{9} +O(q^{10})\)	\(q+(-0.921514 - 1.07276i) q^{2} +(-2.25339 + 0.661656i) q^{3} +(-0.301623 + 1.97713i) q^{4} +(0.592624 - 2.15611i) q^{5} +(2.78633 + 1.80762i) q^{6} +(-0.146802 + 0.0211070i) q^{7} +(2.39893 - 1.49838i) q^{8} +(2.11623 - 1.36002i) q^{9} +(-2.85909 + 1.35114i) q^{10} +(-2.24820 + 4.92286i) q^{11} +(-0.628500 - 4.65481i) q^{12} +(2.35450 + 0.338526i) q^{13} +(0.157923 + 0.138033i) q^{14} +(0.0911852 + 5.25067i) q^{15} +(-3.81805 - 1.19269i) q^{16} +(1.33257 + 1.53787i) q^{17} +(-3.40910 - 1.01693i) q^{18} +(5.66127 - 6.53345i) q^{19} +(4.08414 + 1.82202i) q^{20} +(0.316837 - 0.144695i) q^{21} +(7.35279 - 2.12472i) q^{22} +(-4.51069 - 1.62900i) q^{23} +(-4.41432 + 4.96370i) q^{24} +(-4.29759 - 2.55552i) q^{25} +(-1.80655 - 2.83777i) q^{26} +(0.745040 - 0.859822i) q^{27} +(0.00254787 - 0.296612i) q^{28} +(-3.25290 - 3.75405i) q^{29} +(5.54867 - 4.93638i) q^{30} +(1.70408 - 5.80355i) q^{31} +(2.23891 + 5.19493i) q^{32} +(1.80883 - 12.5807i) q^{33} +(0.421780 - 2.84669i) q^{34} +(-0.0414896 + 0.329029i) q^{35} +(2.05062 + 4.59426i) q^{36} +(8.39355 - 5.39421i) q^{37} +(-12.2258 - 0.0525080i) q^{38} +(-5.52960 + 0.795036i) q^{39} +(-1.80900 - 6.06032i) q^{40} +(-1.10856 - 0.712428i) q^{41} +(-0.447192 - 0.206552i) q^{42} +(-2.34756 - 7.99506i) q^{43} +(-9.05501 - 5.92982i) q^{44} +(-1.67821 - 5.36879i) q^{45} +(2.40914 + 6.34003i) q^{46} +5.53769 q^{47} +(9.39271 + 0.161377i) q^{48} +(-6.69535 + 1.96593i) q^{49} +(1.21883 + 6.96523i) q^{50} +(-4.02034 - 2.58372i) q^{51} +(-1.37948 + 4.55303i) q^{52} +(0.591826 + 4.11624i) q^{53} +(-1.60895 - 0.00691021i) q^{54} +(9.28188 + 7.76476i) q^{55} +(-0.320541 + 0.270599i) q^{56} +(-8.43416 + 18.4682i) q^{57} +(-1.02959 + 6.94899i) q^{58} +(-0.0433699 - 0.00623565i) q^{59} +(-10.4087 - 1.40344i) q^{60} +(1.97470 - 6.72522i) q^{61} +(-7.79614 + 3.51999i) q^{62} +(-0.281961 + 0.244320i) q^{63} +(3.50972 - 7.18901i) q^{64} +(2.12523 - 4.87593i) q^{65} +(-15.1629 + 9.65283i) q^{66} +(7.14358 - 3.26237i) q^{67} +(-3.44249 + 2.17080i) q^{68} +(11.2422 + 0.686250i) q^{69} +(0.391203 - 0.258697i) q^{70} +(5.11304 - 2.33505i) q^{71} +(3.03886 - 6.43350i) q^{72} +(1.18782 + 1.02925i) q^{73} +(-13.5215 - 4.03342i) q^{74} +(11.3750 + 2.91507i) q^{75} +(11.2099 + 13.1637i) q^{76} +(0.226133 - 0.770139i) q^{77} +(5.94849 + 5.19929i) q^{78} +(-1.28736 + 8.95375i) q^{79} +(-4.83424 + 7.52530i) q^{80} +(-4.24497 + 9.29519i) q^{81} +(0.257290 + 1.84573i) q^{82} +(-7.44328 - 11.5820i) q^{83} +(0.190514 + 0.670070i) q^{84} +(4.10552 - 1.96179i) q^{85} +(-6.41346 + 9.88593i) q^{86} +(9.81395 + 6.30704i) q^{87} +(1.98305 + 15.1782i) q^{88} +(2.32767 + 7.92731i) q^{89} +(-4.21292 + 6.74774i) q^{90} -0.352791 q^{91} +(4.58127 - 8.42686i) q^{92} +14.2052i q^{93} +(-5.10306 - 5.94061i) q^{94} +(-10.7318 - 16.0782i) q^{95} +(-8.48240 - 10.2248i) q^{96} +(-6.73935 - 4.33112i) q^{97} +(8.27883 + 5.37086i) q^{98} +(1.93748 + 13.4755i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 6 q^{4} - 22 q^{5} + 2 q^{6} - 100 q^{9}+O(q^{10}) \) 640 * q - 6 * q^4 - 22 * q^5 + 2 * q^6 - 100 * q^9	\( 640 q - 6 q^{4} - 22 q^{5} + 2 q^{6} - 100 q^{9} - 11 q^{10} - 22 q^{14} + 2 q^{16} - 11 q^{20} - 44 q^{21} - 8 q^{24} - 38 q^{25} - 46 q^{26} - 52 q^{29} - 11 q^{30} - 44 q^{34} + 18 q^{36} - 11 q^{40} - 76 q^{41} - 154 q^{44} - 30 q^{46} - 100 q^{49} + 21 q^{50} + 178 q^{54} + 242 q^{56} - 11 q^{60} - 44 q^{61} + 6 q^{64} - 22 q^{65} + 44 q^{66} - 12 q^{69} + 22 q^{70} - 22 q^{74} + 88 q^{76} - 110 q^{80} - 252 q^{81} - 374 q^{84} + 94 q^{85} - 198 q^{86} - 44 q^{89} - 242 q^{90} - 62 q^{94} + 372 q^{96}+O(q^{100}) \) 640 * q - 6 * q^4 - 22 * q^5 + 2 * q^6 - 100 * q^9 - 11 * q^10 - 22 * q^14 + 2 * q^16 - 11 * q^20 - 44 * q^21 - 8 * q^24 - 38 * q^25 - 46 * q^26 - 52 * q^29 - 11 * q^30 - 44 * q^34 + 18 * q^36 - 11 * q^40 - 76 * q^41 - 154 * q^44 - 30 * q^46 - 100 * q^49 + 21 * q^50 + 178 * q^54 + 242 * q^56 - 11 * q^60 - 44 * q^61 + 6 * q^64 - 22 * q^65 + 44 * q^66 - 12 * q^69 + 22 * q^70 - 22 * q^74 + 88 * q^76 - 110 * q^80 - 252 * q^81 - 374 * q^84 + 94 * q^85 - 198 * q^86 - 44 * q^89 - 242 * q^90 - 62 * q^94 + 372 * q^96

Introduction

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