LMFDB - Embedded newform 155.2.u.a.9.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [155,2,Mod(9,155)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(155, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 2]))

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

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

chi := DirichletCharacter("155.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 155 = 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	155.u (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.23768123133$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			9.3
Character	$\chi$	$=$	155.9
Dual form			155.2.u.a.69.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.78210 - 0.579041i) q^{2} +(0.541453 - 2.54734i) q^{3} +(1.22257 + 0.888250i) q^{4} +(-2.14934 - 0.616727i) q^{5} +(-2.43994 + 4.22609i) q^{6} +(-0.941056 - 2.11365i) q^{7} +(0.538385 + 0.741023i) q^{8} +(-3.45511 - 1.53831i) q^{9} +O(q^{10})$	\(q+(-1.78210 - 0.579041i) q^{2} +(0.541453 - 2.54734i) q^{3} +(1.22257 + 0.888250i) q^{4} +(-2.14934 - 0.616727i) q^{5} +(-2.43994 + 4.22609i) q^{6} +(-0.941056 - 2.11365i) q^{7} +(0.538385 + 0.741023i) q^{8} +(-3.45511 - 1.53831i) q^{9} +(3.47323 + 2.34362i) q^{10} +(-0.0632389 + 0.601678i) q^{11} +(2.92464 - 2.63335i) q^{12} +(3.04805 + 2.74447i) q^{13} +(0.453172 + 4.31165i) q^{14} +(-2.73478 + 5.14115i) q^{15} +(-1.46434 - 4.50677i) q^{16} +(-5.41354 + 0.568986i) q^{17} +(5.26662 + 4.74209i) q^{18} +(-1.34344 - 1.49204i) q^{19} +(-2.07991 - 2.66314i) q^{20} +(-5.89370 + 1.25275i) q^{21} +(0.461094 - 1.03563i) q^{22} +(-2.97419 - 4.09363i) q^{23} +(2.17914 - 0.970218i) q^{24} +(4.23930 + 2.65111i) q^{25} +(-3.84277 - 6.65588i) q^{26} +(-1.19718 + 1.64777i) q^{27} +(0.726938 - 3.41998i) q^{28} +(0.285301 - 0.878067i) q^{29} +(7.85059 - 7.57852i) q^{30} +(2.81048 - 4.80637i) q^{31} +7.04752i q^{32} +(1.49844 + 0.486871i) q^{33} +(9.97696 + 2.12067i) q^{34} +(0.719103 + 5.12331i) q^{35} +(-2.85771 - 4.94970i) q^{36} +(-3.46170 - 1.99861i) q^{37} +(1.53020 + 3.43688i) q^{38} +(8.64147 - 6.27839i) q^{39} +(-0.700161 - 1.92474i) q^{40} +(-7.17376 + 1.52483i) q^{41} +(11.2286 + 1.18017i) q^{42} +(5.50700 - 4.95852i) q^{43} +(-0.611755 + 0.679423i) q^{44} +(6.47748 + 5.43722i) q^{45} +(2.92995 + 9.01745i) q^{46} +(12.1885 - 3.96028i) q^{47} +(-12.2731 + 1.28996i) q^{48} +(1.10200 - 1.22390i) q^{49} +(-6.01976 - 7.17927i) q^{50} +(-1.48178 + 14.0982i) q^{51} +(1.28868 + 6.06274i) q^{52} +(4.74989 - 10.6684i) q^{53} +(3.08762 - 2.24328i) q^{54} +(0.506993 - 1.25421i) q^{55} +(1.05961 - 1.83530i) q^{56} +(-4.52814 + 2.61432i) q^{57} +(-1.01687 + 1.39961i) q^{58} +(-9.94923 - 2.11477i) q^{59} +(-7.91009 + 3.85626i) q^{60} -4.03998 q^{61} +(-7.79165 + 6.93807i) q^{62} +8.75052i q^{63} +(1.15213 - 3.54589i) q^{64} +(-4.85868 - 7.77861i) q^{65} +(-2.38845 - 1.73531i) q^{66} +(-12.4759 + 7.20298i) q^{67} +(-7.12385 - 4.11295i) q^{68} +(-12.0382 + 5.35976i) q^{69} +(1.68509 - 9.54666i) q^{70} +(10.4750 + 4.66377i) q^{71} +(-0.720253 - 3.38852i) q^{72} +(0.0650801 + 0.00684020i) q^{73} +(5.01183 + 5.56620i) q^{74} +(9.04864 - 9.36346i) q^{75} +(-0.317146 - 3.01744i) q^{76} +(1.33125 - 0.432548i) q^{77} +(-19.0354 + 6.18499i) q^{78} +(0.597351 + 5.68341i) q^{79} +(0.367908 + 10.5897i) q^{80} +(-4.04293 - 4.49013i) q^{81} +(13.6673 + 1.43649i) q^{82} +(1.48583 + 6.99029i) q^{83} +(-8.31823 - 3.70351i) q^{84} +(11.9864 + 2.11574i) q^{85} +(-12.6852 + 5.64783i) q^{86} +(-2.08226 - 1.20219i) q^{87} +(-0.479904 + 0.277073i) q^{88} +(7.55544 + 5.48935i) q^{89} +(-8.39517 - 13.4404i) q^{90} +(2.93246 - 9.02519i) q^{91} -7.64658i q^{92} +(-10.7217 - 9.76165i) q^{93} -24.0143 q^{94} +(1.96732 + 4.03543i) q^{95} +(17.9524 + 3.81590i) q^{96} +(-1.33081 + 1.83171i) q^{97} +(-2.67257 + 1.54301i) q^{98} +(1.14407 - 1.98158i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q + 16 q^{4} - 5 q^{5} - 26 q^{6} - 32 q^{9}+O(q^{10}) $ 112 * q + 16 * q^4 - 5 * q^5 - 26 * q^6 - 32 * q^9	$ 112 q + 16 q^{4} - 5 q^{5} - 26 q^{6} - 32 q^{9} - 22 q^{10} - 10 q^{11} - 20 q^{14} - 18 q^{15} - 44 q^{16} - 46 q^{19} + 35 q^{20} + 26 q^{21} + 48 q^{24} + 19 q^{25} - 78 q^{26} + 16 q^{29} + 30 q^{30} - 26 q^{31} - 4 q^{34} - 27 q^{35} - 4 q^{36} - 63 q^{40} - 16 q^{41} - 86 q^{44} - 71 q^{45} + 4 q^{46} + 42 q^{49} - 10 q^{50} + 92 q^{51} + 32 q^{54} - 39 q^{55} - 34 q^{56} + 26 q^{59} - 71 q^{60} + 40 q^{61} + 24 q^{64} - 72 q^{65} + 252 q^{66} - 4 q^{69} - 26 q^{70} + 116 q^{71} - 18 q^{74} - 58 q^{75} + 224 q^{76} - 134 q^{79} + 158 q^{80} - 60 q^{81} - 20 q^{84} - 27 q^{85} - 126 q^{86} + 82 q^{89} + 129 q^{90} + 2 q^{91} - 244 q^{94} + 96 q^{95} + 208 q^{96} + 94 q^{99}+O(q^{100}) $ 112 * q + 16 * q^4 - 5 * q^5 - 26 * q^6 - 32 * q^9 - 22 * q^10 - 10 * q^11 - 20 * q^14 - 18 * q^15 - 44 * q^16 - 46 * q^19 + 35 * q^20 + 26 * q^21 + 48 * q^24 + 19 * q^25 - 78 * q^26 + 16 * q^29 + 30 * q^30 - 26 * q^31 - 4 * q^34 - 27 * q^35 - 4 * q^36 - 63 * q^40 - 16 * q^41 - 86 * q^44 - 71 * q^45 + 4 * q^46 + 42 * q^49 - 10 * q^50 + 92 * q^51 + 32 * q^54 - 39 * q^55 - 34 * q^56 + 26 * q^59 - 71 * q^60 + 40 * q^61 + 24 * q^64 - 72 * q^65 + 252 * q^66 - 4 * q^69 - 26 * q^70 + 116 * q^71 - 18 * q^74 - 58 * q^75 + 224 * q^76 - 134 * q^79 + 158 * q^80 - 60 * q^81 - 20 * q^84 - 27 * q^85 - 126 * q^86 + 82 * q^89 + 129 * q^90 + 2 * q^91 - 244 * q^94 + 96 * q^95 + 208 * q^96 + 94 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/155\mathbb{Z}\right)^\times$.

$n$	$32$	$96$
$\chi(n)$	$-1$	$e\left(\frac{1}{15}\right)$

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 $

$2$	−1.78210	−	0.579041i	−1.26014	−	0.409444i	−0.398594	−	0.917127i	$-0.630502\pi$
$2$	−1.78210	−	0.579041i	−1.26014	−	0.409444i	−0.861543	+	0.507684i	$0.830502\pi$
$3$	0.541453	−	2.54734i	0.312608	−	1.47071i	−0.488699	−	0.872452i	$-0.662529\pi$
$3$	0.541453	−	2.54734i	0.312608	−	1.47071i	0.801307	−	0.598253i	$-0.204138\pi$
$4$	1.22257	+	0.888250i	0.611286	+	0.444125i
$5$	−2.14934	−	0.616727i	−0.961213	−	0.275809i
$5$	−2.14934	−	0.616727i	−0.961213	−	0.275809i
$6$	−2.43994	+	4.22609i	−0.996100	+	1.72530i
$7$	−0.941056	−	2.11365i	−0.355686	−	0.798883i	−0.999434	−	0.0336456i	$-0.989288\pi$
$7$	−0.941056	−	2.11365i	−0.355686	−	0.798883i	0.643748	−	0.765237i	$-0.277378\pi$
$8$	0.538385	+	0.741023i	0.190348	+	0.261991i
$9$	−3.45511	−	1.53831i	−1.15170	−	0.512772i
$10$	3.47323	+	2.34362i	1.09833	+	0.741119i
$11$	−0.0632389	+	0.601678i	−0.0190673	+	0.181413i	−0.999910	−	0.0133864i	$-0.995739\pi$
$11$	−0.0632389	+	0.601678i	−0.0190673	+	0.181413i	0.980843	+	0.194799i	$0.0624055\pi$
$12$	2.92464	−	2.63335i	0.844270	−	0.760184i
$13$	3.04805	+	2.74447i	0.845376	+	0.761180i	0.973040	−	0.230638i	$-0.0740813\pi$
$13$	3.04805	+	2.74447i	0.845376	+	0.761180i	−0.127664	+	0.991817i	$0.540748\pi$
$14$	0.453172	+	4.31165i	0.121115	+	1.15234i
$15$	−2.73478	+	5.14115i	−0.706116	+	1.32744i
$16$	−1.46434	−	4.50677i	−0.366084	−	1.12669i
$17$	−5.41354	+	0.568986i	−1.31298	+	0.137999i	−0.735007	−	0.678059i	$-0.762821\pi$
$17$	−5.41354	+	0.568986i	−1.31298	+	0.137999i	−0.577969	+	0.816058i	$0.696155\pi$
$18$	5.26662	+	4.74209i	1.24135	+	1.11772i
$19$	−1.34344	−	1.49204i	−0.308206	−	0.342298i	0.569065	−	0.822292i	$-0.307305\pi$
$19$	−1.34344	−	1.49204i	−0.308206	−	0.342298i	−0.877271	+	0.479995i	$0.840639\pi$
$20$	−2.07991	−	2.66314i	−0.465082	−	0.595497i
$21$	−5.89370	+	1.25275i	−1.28611	+	0.273371i
$22$	0.461094	−	1.03563i	0.0983057	−	0.220798i
$23$	−2.97419	−	4.09363i	−0.620162	−	0.853580i	0.377202	−	0.926131i	$-0.376886\pi$
$23$	−2.97419	−	4.09363i	−0.620162	−	0.853580i	−0.997365	+	0.0725507i	$0.976886\pi$
$24$	2.17914	−	0.970218i	0.444816	−	0.198045i
$25$	4.23930	+	2.65111i	0.847859	+	0.530222i
$26$	−3.84277	−	6.65588i	−0.753630	−	1.30532i
$27$	−1.19718	+	1.64777i	−0.230396	+	0.317114i
$28$	0.726938	−	3.41998i	0.137378	−	0.646315i
$29$	0.285301	−	0.878067i	0.0529791	−	0.163053i	−0.921066	−	0.389406i	$-0.872680\pi$
$29$	0.285301	−	0.878067i	0.0529791	−	0.163053i	0.974045	+	0.226353i	$0.0726803\pi$
$30$	7.85059	−	7.57852i	1.43332	−	1.38364i
$31$	2.81048	−	4.80637i	0.504777	−	0.863250i
$31$	2.81048	−	4.80637i	0.504777	−	0.863250i
$32$			7.04752i			1.24584i
$33$	1.49844	+	0.486871i	0.260844	+	0.0847534i
$34$	9.97696	+	2.12067i	1.71103	+	0.363692i
$35$	0.719103	+	5.12331i	0.121551	+	0.865998i
$36$	−2.85771	−	4.94970i	−0.476286	−	0.824951i
$37$	−3.46170	−	1.99861i	−0.569099	−	0.328570i	0.187690	−	0.982228i	$-0.439900\pi$
$37$	−3.46170	−	1.99861i	−0.569099	−	0.328570i	−0.756790	+	0.653659i	$0.773233\pi$
$38$	1.53020	+	3.43688i	0.248231	+	0.557535i
$39$	8.64147	−	6.27839i	1.38374	−	1.00535i
$40$	−0.700161	−	1.92474i	−0.110705	−	0.304329i
$41$	−7.17376	+	1.52483i	−1.12035	+	0.238138i	−0.730616	−	0.682788i	$-0.760767\pi$
$41$	−7.17376	+	1.52483i	−1.12035	+	0.238138i	−0.389736	+	0.920927i	$0.627434\pi$
$42$	11.2286	+	1.18017i	1.73261	+	0.182104i
$43$	5.50700	−	4.95852i	0.839809	−	0.756168i	−0.132172	−	0.991227i	$-0.542195\pi$
$43$	5.50700	−	4.95852i	0.839809	−	0.756168i	0.971981	+	0.235059i	$0.0755283\pi$
$44$	−0.611755	+	0.679423i	−0.0922255	+	0.102427i
$45$	6.47748	+	5.43722i	0.965605	+	0.810533i
$46$	2.92995	+	9.01745i	0.431997	+	1.32955i
$47$	12.1885	−	3.96028i	1.77787	−	0.577666i	0.779086	−	0.626918i	$-0.215684\pi$
$47$	12.1885	−	3.96028i	1.77787	−	0.577666i	0.998786	+	0.0492519i	$0.0156837\pi$
$48$	−12.2731	+	1.28996i	−1.77147	+	0.186189i
$49$	1.10200	−	1.22390i	0.157429	−	0.174842i
$50$	−6.01976	−	7.17927i	−0.851323	−	1.01530i
$51$	−1.48178	+	14.0982i	−0.207491	+	1.97414i
$52$	1.28868	+	6.06274i	0.178707	+	0.840751i
$53$	4.74989	−	10.6684i	0.652447	−	1.46542i	−0.219396	−	0.975636i	$-0.570409\pi$
$53$	4.74989	−	10.6684i	0.652447	−	1.46542i	0.871843	−	0.489785i	$-0.162925\pi$
$54$	3.08762	−	2.24328i	0.420171	−	0.305272i
$55$	0.506993	−	1.25421i	0.0683629	−	0.169117i
$56$	1.05961	−	1.83530i	0.141596	−	0.245252i
$57$	−4.52814	+	2.61432i	−0.599767	+	0.346275i
$58$	−1.01687	+	1.39961i	−0.133522	+	0.183777i
$59$	−9.94923	−	2.11477i	−1.29528	−	0.275320i	−0.491829	−	0.870692i	$-0.663671\pi$
$59$	−9.94923	−	2.11477i	−1.29528	−	0.275320i	−0.803450	+	0.595372i	$0.797005\pi$
$60$	−7.91009	+	3.85626i	−1.02119	+	0.497841i
$61$	−4.03998			−0.517266			−0.258633	−	0.965976i	$-0.583272\pi$
$61$	−4.03998			−0.517266			−0.258633	+	0.965976i	$0.583272\pi$
$62$	−7.79165	+	6.93807i	−0.989540	+	0.881136i
$63$			8.75052i			1.10246i
$64$	1.15213	−	3.54589i	0.144016	−	0.443236i
$65$	−4.85868	−	7.77861i	−0.602646	−	0.964817i
$66$	−2.38845	−	1.73531i	−0.293998	−	0.213602i
$67$	−12.4759	+	7.20298i	−1.52418	+	0.879984i	−0.524586	+	0.851357i	$0.675780\pi$
$67$	−12.4759	+	7.20298i	−1.52418	+	0.879984i	−0.999590	+	0.0286263i	$0.990887\pi$
$68$	−7.12385	−	4.11295i	−0.863893	−	0.498769i
$69$	−12.0382	+	5.35976i	−1.44923	+	0.645240i
$70$	1.68509	−	9.54666i	0.201407	−	1.14104i
$71$	10.4750	+	4.66377i	1.24315	+	0.553488i	0.919650	−	0.392739i	$-0.128472\pi$
$71$	10.4750	+	4.66377i	1.24315	+	0.553488i	0.323504	+	0.946227i	$0.395139\pi$
$72$	−0.720253	−	3.38852i	−0.0848826	−	0.399341i
$73$	0.0650801	+	0.00684020i	0.00761705	+	0.000800585i	0.108336	−	0.994114i	$-0.465448\pi$
$73$	0.0650801	+	0.00684020i	0.00761705	+	0.000800585i	−0.100719	+	0.994915i	$0.532114\pi$
$74$	5.01183	+	5.56620i	0.582613	+	0.647057i
$75$	9.04864	−	9.36346i	1.04485	−	1.08120i
$76$	−0.317146	−	3.01744i	−0.0363791	−	0.346124i
$77$	1.33125	−	0.432548i	0.151710	−	0.0492934i
$78$	−19.0354	+	6.18499i	−2.15534	+	0.700312i
$79$	0.597351	+	5.68341i	0.0672072	+	0.639434i	0.975333	+	0.220737i	$0.0708463\pi$
$79$	0.597351	+	5.68341i	0.0672072	+	0.639434i	−0.908126	+	0.418697i	$0.862487\pi$
$80$	0.367908	+	10.5897i	0.0411334	+	1.18396i
$81$	−4.04293	−	4.49013i	−0.449214	−	0.498903i
$82$	13.6673	+	1.43649i	1.50930	+	0.158634i
$83$	1.48583	+	6.99029i	0.163091	+	0.767284i	0.981319	+	0.192389i	$0.0616237\pi$
$83$	1.48583	+	6.99029i	0.163091	+	0.767284i	−0.818227	+	0.574895i	$0.805043\pi$
$84$	−8.31823	−	3.70351i	−0.907593	−	0.404086i
$85$	11.9864	+	2.11574i	1.30011	+	0.229484i
$86$	−12.6852	+	5.64783i	−1.36788	+	0.609021i
$87$	−2.08226	−	1.20219i	−0.223241	−	0.128888i
$88$	−0.479904	+	0.277073i	−0.0511580	+	0.0295361i
$89$	7.55544	+	5.48935i	0.800875	+	0.581870i	0.911171	−	0.412029i	$-0.135180\pi$
$89$	7.55544	+	5.48935i	0.800875	+	0.581870i	−0.110295	+	0.993899i	$0.535180\pi$
$90$	−8.39517	−	13.4404i	−0.884928	−	1.41674i
$91$	2.93246	−	9.02519i	0.307406	−	0.946097i
$92$		−	7.64658i		−	0.797211i
$93$	−10.7217	−	9.76165i	−1.11179	−	1.01224i
$94$	−24.0143			−2.47688
$95$	1.96732	+	4.03543i	0.201843	+	0.414027i
$96$	17.9524	+	3.81590i	1.83226	+	0.389459i
$97$	−1.33081	+	1.83171i	−0.135124	+	0.185982i	−0.871217	−	0.490899i	$-0.836669\pi$
$97$	−1.33081	+	1.83171i	−0.135124	+	0.185982i	0.736093	+	0.676880i	$0.236669\pi$
$98$	−2.67257	+	1.54301i	−0.269970	+	0.155867i
$99$	1.14407	−	1.98158i	0.114983	−	0.199157i
$100$	2.82799	+	7.00673i	0.282799	+	0.700673i
$101$	15.4886	−	11.2531i	1.54117	−	1.11973i	0.591578	−	0.806248i	$-0.298505\pi$
$101$	15.4886	−	11.2531i	1.54117	−	1.11973i	0.949595	−	0.313480i	$-0.101495\pi$
$102$	10.8041	−	24.2664i	1.06977	−	2.40273i
$103$	−0.979292	−	4.60721i	−0.0964925	−	0.453962i	−0.999694	−	0.0247445i	$-0.992123\pi$
$103$	−0.979292	−	4.60721i	−0.0964925	−	0.453962i	0.903201	−	0.429217i	$-0.141211\pi$
$104$	−0.392696	+	3.73625i	−0.0385070	+	0.366370i
$105$	13.4402	+	0.942236i	1.31162	+	0.0919528i
$106$	−14.6422	+	16.2619i	−1.42218	+	1.57949i
$107$	6.66786	−	0.700821i	0.644607	−	0.0677509i	0.223416	−	0.974723i	$-0.428279\pi$
$107$	6.66786	−	0.700821i	0.644607	−	0.0677509i	0.421190	+	0.906972i	$0.361612\pi$
$108$	−2.92727	+	0.951126i	−0.281676	+	0.0915222i
$109$	2.34063	+	7.20371i	0.224192	+	0.689991i	0.998373	+	0.0570265i	$0.0181619\pi$
$109$	2.34063	+	7.20371i	0.224192	+	0.689991i	−0.774181	+	0.632964i	$0.781838\pi$
$110$	−1.62975	+	1.94156i	−0.155391	+	0.185120i
$111$	−6.96548	+	7.73595i	−0.661134	+	0.734264i
$112$	−8.14768	+	7.33621i	−0.769884	+	0.693206i
$113$	−8.84868	−	0.930034i	−0.832414	−	0.0874902i	−0.321272	−	0.946987i	$-0.604111\pi$
$113$	−8.84868	−	0.930034i	−0.832414	−	0.0874902i	−0.511142	+	0.859497i	$0.670777\pi$
$114$	9.58341	−	2.03702i	0.897569	−	0.190784i
$115$	3.86789	+	10.6328i	0.360683	+	0.991518i
$116$	1.12875	−	0.820081i	0.104801	−	0.0761426i
$117$	−6.30947	−	14.1713i	−0.583311	−	1.31014i
$118$	16.5060	+	9.52975i	1.51950	+	0.877285i
$119$	6.29708	+	10.9069i	0.577252	+	0.999830i
$120$	−5.28207	+	0.741387i	−0.482185	+	0.0676790i
$121$	10.4016	+	2.21093i	0.945601	+	0.200994i
$122$	7.19966	+	2.33931i	0.651827	+	0.211791i
$123$			19.0996i			1.72215i
$124$	7.70527	−	3.37973i	0.691954	−	0.303509i
$125$	−7.47666	−	8.31261i	−0.668733	−	0.743503i
$126$	5.06691	−	15.5943i	0.451396	−	1.38925i
$127$	−0.979762	+	4.60942i	−0.0869398	+	0.409020i	0.913060	+	0.407826i	$0.133713\pi$
$127$	−0.979762	+	4.60942i	−0.0869398	+	0.409020i	−0.999999	+	0.00119315i	$0.999620\pi$
$128$	4.17843	−	5.75112i	0.369325	−	0.508332i
$129$	−9.64925	−	16.7130i	−0.849569	−	1.47150i
$130$	4.15455	+	16.6757i	0.364378	+	1.46255i
$131$	6.72090	−	2.99234i	0.587208	−	0.261442i	−0.0915542	−	0.995800i	$-0.529183\pi$
$131$	6.72090	−	2.99234i	0.587208	−	0.261442i	0.678762	+	0.734358i	$0.262517\pi$
$132$	1.39948	+	1.92622i	0.121809	+	0.167656i
$133$	−1.88939	+	4.24365i	−0.163831	+	0.367971i
$134$	26.4042	−	5.61239i	2.28098	−	0.484836i
$135$	3.58936	−	2.80328i	0.308923	−	0.241268i
$136$	−3.33620	−	3.70523i	−0.286077	−	0.317721i
$137$	2.00957	+	1.80943i	0.171690	+	0.154590i	0.750496	−	0.660875i	$-0.229815\pi$
$137$	2.00957	+	1.80943i	0.171690	+	0.154590i	−0.578806	+	0.815465i	$0.696481\pi$
$138$	24.5569	−	2.58103i	2.09042	−	0.219712i
$139$	−4.52918	−	13.9394i	−0.384160	−	1.18232i	−0.937088	−	0.349094i	$-0.886489\pi$
$139$	−4.52918	−	13.9394i	−0.384160	−	1.18232i	0.552928	−	0.833229i	$-0.313511\pi$
$140$	−3.67163	+	6.90236i	−0.310309	+	0.583356i
$141$	−3.48867	−	33.1924i	−0.293799	−	2.79531i
$142$	−15.9670	−	14.3768i	−1.33992	−	1.20647i
$143$	−1.84404	+	1.66038i	−0.154207	+	0.138848i
$144$	−1.87338	+	17.8240i	−0.156115	+	1.48533i
$145$	−1.15474	+	1.71131i	−0.0958957	+	0.142116i
$146$	−0.112019	−	0.0498740i	−0.00927074	−	0.00412760i
$147$	−2.52099	−	3.46985i	−0.207928	−	0.286188i
$148$	−2.45691	−	5.51830i	−0.201956	−	0.453601i
$149$	−2.63652	+	4.56659i	−0.215992	+	0.374110i	−0.953579	−	0.301143i	$-0.902632\pi$
$149$	−2.63652	+	4.56659i	−0.215992	+	0.374110i	0.737587	+	0.675252i	$0.235965\pi$
$150$	−21.5474	+	11.4471i	−1.75934	+	0.934654i
$151$	9.36288	+	6.80253i	0.761941	+	0.553582i	0.899505	−	0.436911i	$-0.143927\pi$
$151$	9.36288	+	6.80253i	0.761941	+	0.553582i	−0.137564	+	0.990493i	$0.543927\pi$
$152$	0.382349	−	1.79881i	0.0310126	−	0.145903i
$153$	19.5797	+	6.36182i	1.58292	+	0.514323i
$154$	−2.62288			−0.211358
$155$	−9.00488	+	8.59721i	−0.723290	+	0.690545i
$156$	16.1416			1.29236
$157$	−4.97920	−	1.61784i	−0.397383	−	0.129118i	0.103506	−	0.994629i	$-0.466994\pi$
$157$	−4.97920	−	1.61784i	−0.397383	−	0.129118i	−0.500890	+	0.865511i	$0.666994\pi$
$158$	2.22639	−	10.4743i	0.177122	−	0.833292i
$159$	−24.6042	−	17.8760i	−1.95124	−	1.41766i
$160$	4.34640	−	15.1475i	0.343613	−	1.19752i
$161$	−5.85359	+	10.1387i	−0.461328	+	0.799043i
$162$	4.60495	+	10.3429i	0.361799	+	0.812614i
$163$	4.11084	+	5.65808i	0.321985	+	0.443175i	0.939072	−	0.343720i	$-0.111687\pi$
$163$	4.11084	+	5.65808i	0.321985	+	0.443175i	−0.617087	+	0.786895i	$0.711687\pi$
$164$	−10.1249	−	4.50788i	−0.790619	−	0.352006i
$165$	−2.92038	−	1.97058i	−0.227351	−	0.153409i
$166$	1.39976	−	13.3178i	0.108642	−	1.03366i
$167$	12.1388	−	10.9299i	0.939331	−	0.845777i	−0.0488912	−	0.998804i	$-0.515569\pi$
$167$	12.1388	−	10.9299i	0.939331	−	0.845777i	0.988222	+	0.153027i	$0.0489021\pi$
$168$	−4.10139	−	3.69291i	−0.316429	−	0.284914i
$169$	0.399582	+	3.80177i	0.0307371	+	0.292444i
$170$	−20.1360	−	10.7111i	−1.54436	−	0.821503i
$171$	2.34651	+	7.22180i	0.179442	+	0.552265i
$172$	11.1371	−	1.17056i	0.849197	−	0.0892542i
$173$	−10.4255	−	9.38715i	−0.792635	−	0.713692i	0.169719	−	0.985493i	$-0.445714\pi$
$173$	−10.4255	−	9.38715i	−0.792635	−	0.713692i	−0.962354	+	0.271801i	$0.912381\pi$
$174$	3.01468	+	3.34814i	0.228542	+	0.253822i
$175$	1.61409	−	11.4552i	0.122014	−	0.865932i
$176$	2.80423	−	0.596056i	0.211376	−	0.0449294i
$177$	−10.7741	+	24.1990i	−0.809829	+	1.81891i
$178$	−10.2860	−	14.1575i	−0.770970	−	1.06115i
$179$	0.109670	−	0.0488281i	0.00819709	−	0.00364958i	−0.402634	−	0.915361i	$-0.631905\pi$
$179$	0.109670	−	0.0488281i	0.00819709	−	0.00364958i	0.410831	+	0.911711i	$0.365239\pi$
$180$	3.08957	+	12.4010i	0.230283	+	0.924317i
$181$	−0.931656	−	1.61368i	−0.0692494	−	0.119944i	0.829322	−	0.558771i	$-0.188727\pi$
$181$	−0.931656	−	1.61368i	−0.0692494	−	0.119944i	−0.898571	+	0.438828i	$0.855394\pi$
$182$	−10.4519	+	14.3858i	−0.774747	+	1.06635i
$183$	−2.18746	+	10.2912i	−0.161702	+	0.760746i
$184$	1.43221	−	4.40789i	0.105584	−	0.324954i
$185$	6.20775	+	6.43061i	0.456403	+	0.472788i
$186$	13.4548	+	23.6046i	0.986553	+	1.73077i
$187$		−	3.29319i		−	0.240822i
$188$	18.4190	+	5.98470i	1.34334	+	0.436479i
$189$	4.60941	+	0.979761i	0.335285	+	0.0712671i
$190$	−1.16929	−	8.33072i	−0.0848293	−	0.604374i
$191$	7.89007	+	13.6660i	0.570905	+	0.988837i	0.996473	+	0.0839104i	$0.0267410\pi$
$191$	7.89007	+	13.6660i	0.570905	+	0.988837i	−0.425568	+	0.904926i	$0.639926\pi$
$192$	−8.40874	−	4.85479i	−0.606849	−	0.350364i
$193$	5.95835	+	13.3827i	0.428892	+	0.963306i	0.990703	+	0.136041i	$0.0434379\pi$
$193$	5.95835	+	13.3827i	0.428892	+	0.963306i	−0.561812	+	0.827265i	$0.689895\pi$
$194$	3.43228	−	2.49370i	0.246423	−	0.179037i
$195$	−22.4455	+	8.16495i	−1.60735	+	0.584704i
$196$	2.43440	−	0.517448i	0.173886	−	0.0369606i
$197$	14.0008	+	1.47154i	0.997516	+	0.104843i	0.589191	−	0.807993i	$-0.299446\pi$
$197$	14.0008	+	1.47154i	0.997516	+	0.104843i	0.408325	+	0.912837i	$0.366113\pi$
$198$	−3.18627	+	2.86893i	−0.226438	+	0.203886i
$199$	2.50473	−	2.78178i	0.177556	−	0.197196i	−0.647797	−	0.761813i	$-0.724310\pi$
$199$	2.50473	−	2.78178i	0.177556	−	0.197196i	0.825353	+	0.564617i	$0.190976\pi$
$200$	0.317839	+	4.56873i	0.0224746	+	0.323058i
$201$	11.5933	+	35.6804i	0.817727	+	2.51670i
$202$	−34.1183	+	11.0857i	−2.40056	+	0.779988i
$203$	−2.12441	+	0.223284i	−0.149104	+	0.0156715i
$204$	−14.3343	+	15.9199i	−1.00360	+	1.11461i
$205$	16.3592	+	1.14688i	1.14258	+	0.0801016i
$206$	−0.922560	+	8.77757i	−0.0642778	+	0.611563i
$207$	3.97889	+	18.7192i	0.276552	+	1.30107i
$208$	7.90533	−	17.7557i	0.548136	−	1.23113i
$209$	0.982686	−	0.713963i	0.0679738	−	0.0493859i
$210$	−23.4062	−	9.46156i	−1.61518	−	0.652909i
$211$	2.19423	−	3.80052i	0.151057	−	0.261639i	−0.780559	−	0.625082i	$-0.785066\pi$
$211$	2.19423	−	3.80052i	0.151057	−	0.261639i	0.931616	+	0.363443i	$0.118399\pi$
$212$	15.2833	−	8.82382i	1.04966	−	0.606023i
$213$	17.5519	−	24.1581i	1.20264	−	1.65529i
$214$	−12.2886	−	2.61203i	−0.840033	−	0.178555i
$215$	−14.8945	+	7.26122i	−1.01579	+	0.495211i
$216$	−1.86558			−0.126936
$217$	−12.8038	−	1.41729i	−0.869178	−	0.0962118i
$218$		−	14.1931i		−	0.961277i
$219$	0.0526621	−	0.162077i	0.00355858	−	0.0109522i
$220$	1.73389	−	1.08302i	0.116899	−	0.0730173i
$221$	−18.0623	−	13.1230i	−1.21500	−	0.882750i
$222$	16.8926	−	9.75297i	1.13376	−	0.654576i
$223$	12.7454	+	7.35858i	0.853497	+	0.492767i	0.861829	−	0.507198i	$-0.169319\pi$
$223$	12.7454	+	7.35858i	0.853497	+	0.492767i	−0.00833213	+	0.999965i	$0.502652\pi$
$224$	14.8960	−	6.63211i	0.995279	−	0.443127i
$225$	−10.5690	−	15.6812i	−0.704600	−	1.04542i
$226$	15.2307	+	6.78116i	1.01313	+	0.451076i
$227$	−1.08631	−	5.11068i	−0.0721008	−	0.339207i	0.927281	−	0.374366i	$-0.122140\pi$
$227$	−1.08631	−	5.11068i	−0.0721008	−	0.339207i	−0.999382	+	0.0351587i	$0.988806\pi$
$228$	−7.85815	−	0.825925i	−0.520419	−	0.0546982i
$229$	−18.8395	−	20.9234i	−1.24495	−	1.38266i	−0.895110	−	0.445846i	$-0.852903\pi$
$229$	−18.8395	−	20.9234i	−1.24495	−	1.38266i	−0.349839	−	0.936810i	$-0.613764\pi$
$230$	−0.736136	−	21.1885i	−0.0485393	−	1.39713i
$231$	−0.381038	−	3.62533i	−0.0250705	−	0.238530i
$232$	0.804270	−	0.261323i	0.0528029	−	0.0171567i
$233$	6.32757	−	2.05595i	0.414533	−	0.134690i	−0.0943230	−	0.995542i	$-0.530069\pi$
$233$	6.32757	−	2.05595i	0.414533	−	0.134690i	0.508856	+	0.860852i	$0.330069\pi$
$234$	3.03837	+	28.9082i	0.198625	+	1.88979i
$235$	−28.6395	+	0.995001i	−1.86824	+	0.0649067i
$236$	−10.2852	−	11.4229i	−0.669509	−	0.743565i
$237$	14.8010	+	1.55565i	0.961428	+	0.101050i
$238$	−4.90653	−	23.0834i	−0.318043	−	1.49628i
$239$	19.0465	+	8.48003i	1.23201	+	0.548527i	0.916363	−	0.400348i	$-0.131111\pi$
$239$	19.0465	+	8.48003i	1.23201	+	0.548527i	0.315650	+	0.948876i	$0.397778\pi$
$240$	27.1746	+	4.79661i	1.75411	+	0.309620i
$241$	8.75677	−	3.89876i	0.564073	−	0.251142i	−0.104831	−	0.994490i	$-0.533430\pi$
$241$	8.75677	−	3.89876i	0.564073	−	0.251142i	0.668904	+	0.743349i	$0.266764\pi$
$242$	−17.2565	−	9.96306i	−1.10929	−	0.640450i
$243$	−18.9186	+	10.9226i	−1.21363	+	0.700688i
$244$	−4.93916	−	3.58851i	−0.316198	−	0.229731i
$245$	−3.12338	+	1.95093i	−0.199546	+	0.124640i
$246$	11.0594	−	34.0374i	0.705124	−	2.17015i
$247$		−	8.23484i		−	0.523970i
$248$	5.07475	−	0.505050i	0.322247	−	0.0320707i
$249$	18.6111			1.17943
$250$	8.51085	+	19.1432i	0.538273	+	1.21072i
$251$	−0.926517	−	0.196937i	−0.0584812	−	0.0124306i	0.178578	−	0.983926i	$-0.442850\pi$
$251$	−0.926517	−	0.196937i	−0.0584812	−	0.0124306i	−0.237059	+	0.971495i	$0.576184\pi$
$252$	−7.77266	+	10.6981i	−0.489631	+	0.673920i
$253$	2.65113	−	1.53063i	0.166675	−	0.0962299i
$254$	4.41508	−	7.64714i	0.277026	−	0.479824i
$255$	11.8796	−	29.3879i	0.743928	−	1.84034i
$256$	−16.8092	+	12.2126i	−1.05057	+	0.763286i
$257$	3.32730	−	7.47324i	0.207551	−	0.466168i	−0.779535	−	0.626359i	$-0.784544\pi$
$257$	3.32730	−	7.47324i	0.207551	−	0.466168i	0.987086	+	0.160191i	$0.0512110\pi$
$258$	7.51846	+	35.3716i	0.468079	+	2.20214i
$259$	−0.966707	+	9.19761i	−0.0600683	+	0.571511i
$260$	0.969260	−	13.8256i	0.0601110	−	0.857429i
$261$	−2.33649	+	2.59494i	−0.144625	+	0.160623i
$262$	−13.7100	+	1.44098i	−0.847008	+	0.0890242i
$263$	−4.40551	+	1.43144i	−0.271656	+	0.0882662i	−0.441677	−	0.897174i	$-0.645616\pi$
$263$	−4.40551	+	1.43144i	−0.271656	+	0.0882662i	0.170021	+	0.985440i	$0.445616\pi$
$264$	0.445952	+	1.37250i	0.0274465	+	0.0844715i
$265$	−16.7886	+	20.0006i	−1.03132	+	1.22863i
$266$	5.82434	−	6.46859i	0.357113	−	0.396615i
$267$	18.0741	−	16.2740i	1.10612	−	0.995954i
$268$	−21.6508	−	2.27559i	−1.32253	−	0.139004i
$269$	−13.0011	+	2.76348i	−0.792693	+	0.168492i	−0.586425	−	0.810004i	$-0.699465\pi$
$269$	−13.0011	+	2.76348i	−0.792693	+	0.168492i	−0.206268	+	0.978496i	$0.566132\pi$
$270$	−8.01982	+	2.91736i	−0.488071	+	0.177545i
$271$	−4.99299	+	3.62762i	−0.303303	+	0.220362i	−0.729017	−	0.684495i	$-0.760023\pi$
$271$	−4.99299	+	3.62762i	−0.303303	+	0.220362i	0.425715	+	0.904857i	$0.360023\pi$
$272$	10.4915	+	23.5644i	0.636143	+	1.42880i
$273$	−21.4024	−	12.3567i	−1.29533	−	0.747860i
$274$	−2.53354	−	4.38822i	−0.153057	−	0.265102i
$275$	−1.86320	+	2.38304i	−0.112355	+	0.143703i
$276$	−19.4784	−	4.14026i	−1.17246	−	0.249215i
$277$	−12.0460	−	3.91399i	−0.723775	−	0.235169i	−0.0761159	−	0.997099i	$-0.524252\pi$
$277$	−12.0460	−	3.91399i	−0.723775	−	0.235169i	−0.647659	+	0.761930i	$0.724252\pi$
$278$			27.4640i			1.64718i
$279$	−17.1042	+	12.2832i	−1.02400	+	0.735373i
$280$	−3.40934	+	3.29118i	−0.203747	+	0.196686i
$281$	−0.145714	+	0.448460i	−0.00869255	+	0.0267529i	−0.955309	−	0.295610i	$-0.904477\pi$
$281$	−0.145714	+	0.448460i	−0.00869255	+	0.0267529i	0.946616	+	0.322363i	$0.104477\pi$
$282$	−13.0026	+	61.1725i	−0.774294	+	3.64277i
$283$	−7.94852	+	10.9402i	−0.472491	+	0.650328i	−0.977040	−	0.213055i	$-0.931659\pi$
$283$	−7.94852	+	10.9402i	−0.472491	+	0.650328i	0.504549	+	0.863383i	$0.331659\pi$
$284$	8.66384	+	15.0062i	0.514105	+	0.890455i
$285$	11.3448	−	2.82643i	0.672009	−	0.167423i
$286$	4.24771	−	1.89120i	0.251172	−	0.111829i
$287$	9.97385	+	13.7278i	0.588738	+	0.810328i
$288$	10.8413	−	24.3500i	0.638830	−	1.43484i
$289$	12.3542	−	2.62596i	0.726717	−	0.154468i
$290$	3.04878	−	2.38109i	0.179030	−	0.139822i
$291$	3.94540	+	4.38181i	0.231283	+	0.256866i
$292$	0.0734893	+	0.0661701i	0.00430064	+	0.00387231i
$293$	6.56168	−	0.689660i	0.383337	−	0.0402904i	0.0890997	−	0.996023i	$-0.471601\pi$
$293$	6.56168	−	0.689660i	0.383337	−	0.0402904i	0.294237	+	0.955732i	$0.404934\pi$
$294$	2.48349	+	7.64339i	0.144840	+	0.445772i
$295$	20.0800	+	10.6813i	1.16910	+	0.621890i
$296$	−0.382708	−	3.64122i	−0.0222444	−	0.211642i
$297$	−0.915719	−	0.824517i	−0.0531354	−	0.0478434i
$298$	7.34279	−	6.61148i	0.425357	−	0.382993i
$299$	2.16937	−	20.6402i	0.125458	−	1.19365i
$300$	19.3797	−	3.41004i	1.11889	−	0.196879i
$301$	−15.6630	−	6.97360i	−0.902798	−	0.401951i
$302$	−12.7467	−	17.5443i	−0.733489	−	1.00956i
$303$	−20.2791	−	45.5477i	−1.16501	−	2.61665i
$304$	−4.75703	+	8.23942i	−0.272834	+	0.472563i
$305$	8.68327	+	2.49156i	0.497203	+	0.142667i
$306$	−31.2093	−	22.6749i	−1.78411	−	1.29624i
$307$	1.17709	−	5.53778i	0.0671801	−	0.316058i	−0.931708	−	0.363209i	$-0.881681\pi$
$307$	1.17709	−	5.53778i	0.0671801	−	0.316058i	0.998888	+	0.0471516i	$0.0150144\pi$
$308$	2.01175	+	0.653659i	0.114630	+	0.0372457i
$309$	−12.2663			−0.697808
$310$	21.0258	−	10.1069i	1.19418	−	0.574035i
$311$	3.53305			0.200341			0.100170	−	0.994970i	$-0.468061\pi$
$311$	3.53305			0.200341			0.100170	+	0.994970i	$0.468061\pi$
$312$	9.30487	+	3.02333i	0.526784	+	0.171163i
$313$	−1.54727	+	7.27933i	−0.0874569	+	0.411452i	0.912540	+	0.408987i	$0.134118\pi$
$313$	−1.54727	+	7.27933i	−0.0874569	+	0.411452i	−0.999997	+	0.00246500i	$0.999215\pi$
$314$	7.93666	+	5.76632i	0.447891	+	0.325412i
$315$	5.39669	−	18.8078i	0.304069	−	1.05970i
$316$	−4.31799	+	7.47898i	−0.242906	+	0.420725i
$317$	3.87976	+	8.71409i	0.217909	+	0.489432i	0.989113	−	0.147156i	$-0.0470119\pi$
$317$	3.87976	+	8.71409i	0.217909	+	0.489432i	−0.771204	+	0.636588i	$0.780345\pi$
$318$	33.4963	+	46.1037i	1.87838	+	2.58537i
$319$	0.510272	+	0.227188i	0.0285697	+	0.0127201i
$320$	−4.66316	+	6.91076i	−0.260678	+	0.386323i
$321$	1.82511	−	17.3648i	0.101868	−	0.969206i
$322$	16.3024	−	14.6788i	0.908500	−	0.818017i
$323$	8.12172	+	7.31283i	0.451905	+	0.406897i
$324$	−0.954413	−	9.08063i	−0.0530229	−	0.504480i
$325$	5.64567	+	19.7153i	0.313165	+	1.09361i
$326$	−4.04968	−	12.4636i	−0.224291	−	0.690296i
$327$	19.6176	−	2.06189i	1.08486	−	0.114023i
$328$	−4.99217	−	4.49497i	−0.275647	−	0.248193i
$329$	−19.8407	−	22.0353i	−1.09385	−	1.21484i
$330$	4.06337	+	5.20279i	0.223681	+	0.286404i
$331$	−14.0720	+	2.99110i	−0.773467	+	0.164405i	−0.577705	−	0.816246i	$-0.696051\pi$
$331$	−14.0720	+	2.99110i	−0.773467	+	0.164405i	−0.195762	+	0.980651i	$0.562718\pi$
$332$	−4.39259	+	9.86592i	−0.241075	+	0.541463i
$333$	8.88606	+	12.2306i	0.486953	+	0.670233i
$334$	−27.9615	+	12.4493i	−1.52998	+	0.681193i
$335$	31.2572	−	7.78738i	1.70776	−	0.425470i
$336$	14.2762	+	24.7271i	0.778830	+	1.34897i
$337$	−2.63542	+	3.62734i	−0.143560	+	0.197594i	−0.874742	−	0.484589i	$-0.838969\pi$
$337$	−2.63542	+	3.62734i	−0.143560	+	0.197594i	0.731182	+	0.682183i	$0.238969\pi$
$338$	1.48928	−	7.00652i	0.0810062	−	0.381104i
$339$	−7.16025	+	22.0370i	−0.388892	+	1.19689i
$340$	12.7750	+	13.2336i	0.692820	+	0.717692i
$341$	2.71416	+	1.99495i	0.146980	+	0.108033i
$342$		−	14.2287i		−	0.769401i
$343$	−19.0270	−	6.18224i	−1.02736	−	0.333809i
$344$	6.63927	+	1.41122i	0.357965	+	0.0760879i
$345$	29.1797	−	4.09563i	1.57098	−	0.220502i
$346$	13.1438	+	22.7657i	0.706613	+	1.22389i
$347$	−11.7395	−	6.77778i	−0.630207	−	0.363850i	0.150625	−	0.988591i	$-0.451871\pi$
$347$	−11.7395	−	6.77778i	−0.630207	−	0.363850i	−0.780832	+	0.624741i	$0.785205\pi$
$348$	−1.47786	−	3.31933i	−0.0792216	−	0.177935i
$349$	0.817054	−	0.593624i	0.0437359	−	0.0317760i	−0.565703	−	0.824609i	$-0.691395\pi$
$349$	0.817054	−	0.593624i	0.0437359	−	0.0317760i	0.609438	+	0.792833i	$0.291395\pi$
$350$	−9.50951	+	19.4797i	−0.508305	+	1.04124i
$351$	−8.17130	+	1.73686i	−0.436152	+	0.0927070i
$352$	−4.24034	−	0.445678i	−0.226011	−	0.0237547i
$353$	−24.4452	+	22.0105i	−1.30109	+	1.17150i	−0.327076	+	0.944998i	$0.606063\pi$
$353$	−24.4452	+	22.0105i	−1.30109	+	1.17150i	−0.974010	+	0.226505i	$0.927270\pi$
$354$	33.2127	−	36.8864i	1.76524	−	1.96049i
$355$	−19.6380	−	16.4842i	−1.04228	−	0.874892i
$356$	4.36115	+	13.4222i	0.231141	+	0.711378i
$357$	31.1930	−	10.1352i	1.65091	−	0.536413i
$358$	−0.223716	+	0.0235135i	−0.0118238	+	0.00124273i
$359$	18.6532	−	20.7165i	0.984477	−	1.09337i	−0.0111484	−	0.999938i	$-0.503549\pi$
$359$	18.6532	−	20.7165i	0.984477	−	1.09337i	0.995625	−	0.0934347i	$-0.0297846\pi$
$360$	−0.541729	+	7.72728i	−0.0285516	+	0.407263i
$361$	1.56468	−	14.8870i	0.0823518	−	0.783525i
$362$	0.725924	+	3.41520i	0.0381537	+	0.179499i
$363$	11.2640	−	25.2993i	0.591205	−	1.32787i
$364$	11.6018	−	8.42918i	0.608098	−	0.441809i
$365$	−0.135661	−	0.0548386i	−0.00710080	−	0.00287038i
$366$	9.85729	−	17.0733i	0.515249	−	0.892437i
$367$	31.7322	−	18.3206i	1.65641	−	0.956326i	0.682053	−	0.731303i	$-0.261087\pi$
$367$	31.7322	−	18.3206i	1.65641	−	0.956326i	0.974353	−	0.225023i	$-0.0722459\pi$
$368$	−14.0938	+	19.3984i	−0.734690	+	1.01121i
$369$	27.1318	+	5.76704i	1.41242	+	0.300220i
$370$	−7.33928	−	15.0546i	−0.381551	−	0.782649i
$371$	−27.0192			−1.40277
$372$	−4.43726	−	21.4579i	−0.230061	−	1.11254i
$373$			30.7928i			1.59439i	0.603722	+	0.797195i	$0.293684\pi$
$373$			30.7928i			1.59439i	−0.603722	+	0.797195i	$0.706316\pi$
$374$	−1.90689	+	5.86881i	−0.0986030	+	0.303469i
$375$	−25.2233	+	14.5447i	−1.30252	+	0.751084i
$376$	9.49675	+	6.89979i	0.489757	+	0.355830i
$377$	3.27944	−	1.89339i	0.168900	−	0.0975144i
$378$	−7.64713	−	4.41507i	−0.393326	−	0.227087i
$379$	10.6570	−	4.74479i	0.547412	−	0.243724i	−0.114346	−	0.993441i	$-0.536477\pi$
$379$	10.6570	−	4.74479i	0.547412	−	0.243724i	0.661758	+	0.749717i	$0.269811\pi$
$380$	−1.17928	+	6.68108i	−0.0604960	+	0.342732i
$381$	11.2112	+	4.99156i	0.574369	+	0.255726i
$382$	−6.14775	−	28.9229i	−0.314546	−	1.47982i
$383$	−25.5357	−	2.68391i	−1.30481	−	0.137141i	−0.573513	−	0.819197i	$-0.694420\pi$
$383$	−25.5357	−	2.68391i	−1.30481	−	0.137141i	−0.731301	+	0.682055i	$0.761086\pi$
$384$	−12.3876	−	13.7578i	−0.632153	−	0.702077i
$385$	−3.12806	+	0.108676i	−0.159421	+	0.00553863i
$386$	−2.86929	−	27.2994i	−0.146043	−	1.38951i
$387$	−26.6551	+	8.66076i	−1.35495	+	0.440251i
$388$	−3.25403	+	1.05730i	−0.165198	+	0.0536762i
$389$	1.66938	+	15.8831i	0.0846410	+	0.805305i	0.951686	+	0.307074i	$0.0993500\pi$
$389$	1.66938	+	15.8831i	0.0846410	+	0.805305i	−0.867045	+	0.498231i	$0.833983\pi$
$390$	44.7280	−	1.55395i	2.26489	−	0.0786873i
$391$	18.4301	+	20.4687i	0.932052	+	1.03515i
$392$	1.50024	+	0.157681i	0.0757734	+	0.00796410i
$393$	−3.98344	−	18.7406i	−0.200938	−	0.945338i
$394$	−24.0988	−	10.7295i	−1.21408	−	0.540543i
$395$	2.22121	−	12.5840i	0.111761	−	0.633168i
$396$	3.15885	−	1.40641i	0.158738	−	0.0706747i
$397$	−8.13243	−	4.69526i	−0.408155	−	0.235648i	0.281842	−	0.959461i	$-0.409055\pi$
$397$	−8.13243	−	4.69526i	−0.408155	−	0.235648i	−0.689997	+	0.723813i	$0.742388\pi$
$398$	−6.07446	+	3.50709i	−0.304485	+	0.175794i
$399$	9.78698	+	7.11066i	0.489962	+	0.355978i
$400$	5.74017	−	22.9876i	0.287008	−	1.14938i
$401$	−7.55045	+	23.2379i	−0.377052	+	1.16045i	0.565032	+	0.825069i	$0.308864\pi$
$401$	−7.55045	+	23.2379i	−0.377052	+	1.16045i	−0.942084	+	0.335377i	$0.891136\pi$
$402$		−	70.2992i		−	3.50621i
$403$	21.7574	−	6.93677i	1.08381	−	0.345545i
$404$	28.9315			1.43940
$405$	5.92043	+	12.1442i	0.294189	+	0.603449i
$406$	3.91521	+	0.832203i	0.194308	+	0.0413015i
$407$	1.42143	−	1.95644i	0.0704579	−	0.0969770i
$408$	−11.2449	+	6.49222i	−0.556703	+	0.321413i
$409$	−17.9392	+	31.0716i	−0.887035	+	1.53639i	−0.0436721	+	0.999046i	$0.513906\pi$
$409$	−17.9392	+	31.0716i	−0.887035	+	1.53639i	−0.843363	+	0.537344i	$0.819428\pi$
$410$	−28.4897	−	11.5165i	−1.40701	−	0.568760i
$411$	5.69731	−	4.13934i	0.281028	−	0.204179i
$412$	2.89510	−	6.50250i	0.142631	−	0.320355i
$413$	4.89290	+	23.0193i	0.240764	+	1.13270i
$414$	3.74838	−	35.6635i	0.184223	−	1.75276i
$415$	1.11755	−	15.9408i	0.0548583	−	0.782505i
$416$	−19.3417	+	21.4812i	−0.948306	+	1.05320i
$417$	−37.9606	+	3.98982i	−1.85894	+	0.195383i
$418$	−2.16466	+	0.703341i	−0.105877	+	0.0344016i
$419$	3.98425	+	12.2623i	0.194643	+	0.599051i	0.999981	+	0.00623368i	$0.00198425\pi$
$419$	3.98425	+	12.2623i	0.194643	+	0.599051i	−0.805337	+	0.592817i	$0.798016\pi$
$420$	15.5946	+	13.0902i	0.760939	+	0.638735i
$421$	−0.695058	+	0.771940i	−0.0338750	+	0.0376220i	−0.759844	−	0.650105i	$-0.774725\pi$
$421$	−0.695058	+	0.771940i	−0.0338750	+	0.0376220i	0.725969	+	0.687727i	$0.241391\pi$
$422$	−6.11101	+	5.50237i	−0.297479	+	0.267851i
$423$	−48.2047	−	5.06652i	−2.34379	−	0.246343i
$424$	10.4628	−	2.22394i	0.508119	−	0.108004i
$425$	−24.4580	−	11.9398i	−1.18639	−	0.579165i
$426$	−45.2679	+	32.8890i	−2.19324	+	1.59348i
$427$	3.80185	+	8.53908i	0.183984	+	0.413235i
$428$	8.77445	+	5.06593i	0.424129	+	0.244871i
$429$	3.23109	+	5.59642i	0.155999	+	0.270198i
$430$	30.7480	−	4.31576i	1.48280	−	0.208124i
$431$	−26.1084	−	5.54951i	−1.25760	−	0.267310i	−0.469539	−	0.882912i	$-0.655580\pi$
$431$	−26.1084	−	5.54951i	−1.25760	−	0.267310i	−0.788058	+	0.615601i	$0.788913\pi$
$432$	9.17918	+	2.98250i	0.441634	+	0.143495i
$433$			16.6764i			0.801415i	0.916206	+	0.400708i	$0.131236\pi$
$433$			16.6764i			0.801415i	−0.916206	+	0.400708i	$0.868764\pi$
$434$	21.9970	+	9.93967i	1.05589	+	0.477119i
$435$	3.73404	+	3.86810i	0.179034	+	0.185461i
$436$	−3.53711	+	10.8861i	−0.169397	+	0.521351i
$437$	−2.11221	+	9.93716i	−0.101041	+	0.475359i
$438$	−0.187699	+	0.258345i	−0.00896859	+	0.0123442i
$439$	−2.67331	−	4.63031i	−0.127590	−	0.220993i	0.795152	−	0.606410i	$-0.207391\pi$
$439$	−2.67331	−	4.63031i	−0.127590	−	0.220993i	−0.922742	+	0.385417i	$0.874058\pi$
$440$	1.20235	−	0.299553i	0.0573200	−	0.0142806i
$441$	−5.69028	+	2.53347i	−0.270966	+	0.120642i
$442$	24.5901	+	33.8454i	1.16963	+	1.60986i
$443$	9.99848	−	22.4569i	0.475042	−	1.06696i	−0.504074	−	0.863660i	$-0.668166\pi$
$443$	9.99848	−	22.4569i	0.475042	−	1.06696i	0.979116	−	0.203301i	$-0.0651671\pi$
$444$	−15.3873	+	3.27066i	−0.730247	+	0.155219i
$445$	−12.8538	−	16.4581i	−0.609327	−	0.780189i
$446$	−18.4528	−	20.4939i	−0.873764	−	0.970413i
$447$	10.2051	+	9.18870i	0.482684	+	0.434611i
$448$	−8.57897	+	0.901686i	−0.405318	+	0.0426007i
$449$	−2.20102	−	6.77404i	−0.103873	−	0.319687i	0.885592	−	0.464465i	$-0.153753\pi$
$449$	−2.20102	−	6.77404i	−0.103873	−	0.319687i	−0.989464	+	0.144778i	$0.953753\pi$
$450$	9.75497	+	34.0655i	0.459854	+	1.60586i
$451$	−0.463796	−	4.41272i	−0.0218393	−	0.207787i
$452$	−9.99205	−	8.99688i	−0.469986	−	0.423178i
$453$	22.3979	−	20.1672i	1.05234	−	0.947536i
$454$	−1.02338	+	9.73677i	−0.0480294	+	0.456969i
$455$	−11.8689	+	17.5896i	−0.556424	+	0.824615i
$456$	−4.37515	−	1.94794i	−0.204885	−	0.0912209i
$457$	22.1276	+	30.4560i	1.03508	+	1.42467i	0.901061	+	0.433692i	$0.142790\pi$
$457$	22.1276	+	30.4560i	1.03508	+	1.42467i	0.134023	+	0.990978i	$0.457210\pi$
$458$	21.4584	+	48.1965i	1.00269	+	2.25207i
$459$	5.54340	−	9.60145i	0.258744	−	0.448157i
$460$	−4.71585	+	16.4351i	−0.219878	+	0.766289i
$461$	−19.3876	−	14.0859i	−0.902971	−	0.656047i	0.0362564	−	0.999343i	$-0.488457\pi$
$461$	−19.3876	−	14.0859i	−0.902971	−	0.656047i	−0.939227	+	0.343296i	$0.888457\pi$
$462$	−1.42017	+	6.68136i	−0.0660721	+	0.310845i
$463$	18.5081	+	6.01366i	0.860146	+	0.279478i	0.705689	−	0.708521i	$-0.250637\pi$
$463$	18.5081	+	6.01366i	0.860146	+	0.279478i	0.154456	+	0.988000i	$0.450637\pi$
$464$	−4.37502			−0.203105
$465$	17.0243	+	27.5934i	0.789482	+	1.27962i
$466$	−12.4669			−0.577516
$467$	−19.7559	−	6.41909i	−0.914195	−	0.297040i	−0.186112	−	0.982529i	$-0.559589\pi$
$467$	−19.7559	−	6.41909i	−0.914195	−	0.297040i	−0.728083	+	0.685489i	$0.759589\pi$
$468$	4.87389	−	22.9298i	0.225296	−	1.05993i
$469$	26.9651	+	19.5913i	1.24513	+	0.904641i
$470$	51.6148	+	14.8103i	2.38081	+	0.683147i
$471$	−6.81718	+	11.8077i	−0.314119	+	0.544071i
$472$	−3.78942	−	8.51117i	−0.174422	−	0.391758i
$473$	2.63518	+	3.62701i	0.121166	+	0.166770i
$474$	−25.4761	−	11.3427i	−1.17016	−	0.520988i
$475$	−1.73968	−	9.88681i	−0.0798218	−	0.453638i
$476$	−1.98939	+	18.9278i	−0.0911837	+	0.867555i
$477$	−32.8228	+	29.5538i	−1.50285	+	1.35317i
$478$	−29.0325	−	26.1410i	−1.32791	−	1.19566i
$479$	−1.13146	−	10.7651i	−0.0516977	−	0.491871i	−0.989482	−	0.144654i	$-0.953793\pi$
$479$	−1.13146	−	10.7651i	−0.0516977	−	0.491871i	0.937785	−	0.347217i	$-0.112873\pi$
$480$	−36.2324	−	19.2734i	−1.65378	−	0.879706i
$481$	−5.06627	−	15.5924i	−0.231002	−	0.710952i
$482$	−17.8630	+	1.87748i	−0.813638	+	0.0855168i
$483$	22.6573	+	20.4007i	1.03094	+	0.928265i
$484$	10.7529	+	11.9423i	0.488766	+	0.542830i
$485$	3.99003	−	3.11621i	0.181178	−	0.141500i
$486$	40.0395	−	8.51066i	1.81623	−	0.386051i
$487$	10.4484	−	23.4674i	0.473461	−	1.06341i	−0.506139	−	0.862452i	$-0.668928\pi$
$487$	10.4484	−	23.4674i	0.473461	−	1.06341i	0.979600	−	0.200958i	$-0.0644056\pi$
$488$	−2.17506	−	2.99372i	−0.0984605	−	0.135519i
$489$	16.6389	−	7.40809i	0.752435	−	0.335006i
$490$	6.69586	−	1.66820i	0.302488	−	0.0753615i
$491$	5.75805	+	9.97324i	0.259857	+	0.450086i	0.966203	−	0.257781i	$-0.0829912\pi$
$491$	5.75805	+	9.97324i	0.259857	+	0.450086i	−0.706346	+	0.707866i	$0.749658\pi$
$492$	−16.9652	+	23.3506i	−0.764851	+	1.05273i
$493$	−1.04488	+	4.91579i	−0.0470592	+	0.221396i
$494$	−4.76831	+	14.6753i	−0.214536	+	0.660275i
$495$	−3.68108	+	3.55351i	−0.165452	+	0.159719i
$496$	−25.7767	−	5.62801i	−1.15741	−	0.252705i
$497$		−	26.5293i		−	1.19000i
$498$	−33.1670	−	10.7766i	−1.48625	−	0.482911i
$499$	−34.2131	−	7.27223i	−1.53159	−	0.325550i	−0.636445	−	0.771322i	$-0.719596\pi$
$499$	−34.2131	−	7.27223i	−1.53159	−	0.325550i	−0.895146	+	0.445773i	$0.852929\pi$
$500$	−1.75707	−	16.8039i	−0.0785787	−	0.751494i
$501$	−21.2694	−	36.8397i	−0.950247	−	1.64588i
$502$	1.53711	+	0.887453i	0.0686048	+	0.0396090i
$503$	−7.46670	−	16.7705i	−0.332924	−	0.747759i	−0.999996	−	0.00276627i	$-0.999119\pi$
$503$	−7.46670	−	16.7705i	−0.332924	−	0.747759i	0.667072	−	0.744993i	$-0.267547\pi$
$504$	−6.48434	+	4.71115i	−0.288835	+	0.209851i
$505$	−40.2303	+	14.6345i	−1.79023	+	0.651227i
$506$	−5.61089	+	1.19263i	−0.249434	+	0.0530189i
$507$	9.90073	+	1.04061i	0.439707	+	0.0462151i
$508$	−5.29214	+	4.76507i	−0.234801	+	0.211416i
$509$	−2.41107	+	2.67776i	−0.106869	+	0.118690i	−0.794206	−	0.607649i	$-0.792113\pi$
$509$	−2.41107	+	2.67776i	−0.106869	+	0.118690i	0.687337	+	0.726338i	$0.258779\pi$
$510$	−38.1874	+	45.4935i	−1.69097	+	2.01449i
$511$	−0.0467863	−	0.143993i	−0.00206970	−	0.00636989i
$512$	23.5055	−	7.63741i	1.03881	−	0.337529i
$513$	4.06687	−	0.427446i	0.179557	−	0.0188722i
$514$	−10.2569	+	11.3915i	−0.452413	+	0.502455i
$515$	−0.736562	+	10.5064i	−0.0324568	+	0.462967i
$516$	3.04842	−	29.0038i	0.134199	−	1.27682i
$517$	1.61203	+	7.58398i	0.0708968	+	0.333543i
$518$	7.04856	−	15.8313i	0.309696	−	0.695588i
$519$	−29.5571	+	21.4745i	−1.29741	+	0.942626i
$520$	3.14829	−	7.78828i	0.138061	−	0.341539i
$521$	10.7984	−	18.7033i	0.473085	−	0.819408i	−0.526440	−	0.850212i	$-0.676474\pi$
$521$	10.7984	−	18.7033i	0.473085	−	0.819408i	0.999525	+	0.0308046i	$0.00980696\pi$
$522$	5.66645	−	3.27152i	0.248014	−	0.143191i
$523$	9.89624	−	13.6210i	0.432732	−	0.595605i	−0.535845	−	0.844316i	$-0.680007\pi$
$523$	9.89624	−	13.6210i	0.432732	−	0.595605i	0.968578	+	0.248711i	$0.0800070\pi$
$524$	10.8747	+	2.31149i	0.475065	+	0.100978i
$525$	−28.3063	−	10.3141i	−1.23539	−	0.450144i
$526$	8.67994			0.378463
$527$	−12.4799	+	27.6186i	−0.543632	+	1.20309i
$528$		−	7.46604i		−	0.324918i
$529$	−0.804558	+	2.47618i	−0.0349808	+	0.107660i
$530$	41.5002	−	25.9219i	1.80266	−	1.12598i
$531$	31.1225	+	22.6118i	1.35060	+	0.981270i
$532$	−6.07934	+	3.50991i	−0.263573	+	0.152174i
$533$	−26.0508	−	15.0404i	−1.12838	−	0.651473i
$534$	−41.6333	+	18.5363i	−1.80165	+	0.802146i
$535$	−14.7637	−	2.60595i	−0.638290	−	0.112665i
$536$	−12.0544	−	5.36697i	−0.520672	−	0.231818i
$537$	−0.0650005	−	0.305803i	−0.00280498	−	0.0131964i
$538$	24.7695	+	2.60338i	1.06789	+	0.112240i
$539$	0.666702	+	0.740448i	0.0287169	+	0.0318934i
$540$	6.87826	−	0.238966i	0.295993	−	0.0102835i
$541$	−2.76989	−	26.3537i	−0.119087	−	1.13304i	−0.876936	−	0.480606i	$-0.840417\pi$
$541$	−2.76989	−	26.3537i	−0.119087	−	1.13304i	0.757850	−	0.652429i	$-0.226250\pi$
$542$	10.9986	−	3.57365i	0.472429	−	0.153501i
$543$	−4.61502	+	1.49951i	−0.198050	+	0.0643502i
$544$	−4.00994	−	38.1521i	−0.171925	−	1.63576i
$545$	−0.588072	−	16.9267i	−0.0251902	−	0.725062i
$546$	30.9863	+	34.4137i	1.32609	+	1.47277i
$547$	27.0047	+	2.83830i	1.15464	+	0.121357i	0.662431	−	0.749123i	$-0.269525\pi$
$547$	27.0047	+	2.83830i	1.15464	+	0.121357i	0.492204	+	0.870480i	$0.336191\pi$
$548$	0.849623	+	3.99716i	0.0362941	+	0.170750i
$549$	13.9586	+	6.21476i	0.595738	+	0.265240i
$550$	4.70030	−	3.16795i	0.200421	−	0.135082i
$551$	−1.69340	+	0.753949i	−0.0721412	+	0.0321193i
$552$	−10.4529	−	6.03499i	−0.444905	−	0.256866i
$553$	11.4506	−	6.61100i	0.486928	−	0.281128i
$554$	19.2009	+	13.9503i	0.815768	+	0.592690i
$555$	19.7421	−	12.3314i	0.838007	−	0.523437i
$556$	6.84442	−	21.0649i	0.290268	−	0.893353i
$557$			39.5953i			1.67771i	0.544358	+	0.838853i	$0.316773\pi$
$557$			39.5953i			1.67771i	−0.544358	+	0.838853i	$0.683227\pi$
$558$	37.5940	−	11.9858i	1.59148	−	0.507400i
$559$	30.3941			1.28553
$560$	22.0366	−	10.7431i	0.931214	−	0.453978i
$561$	−8.38887	−	1.78311i	−0.354178	−	0.0752829i
$562$	0.519354	−	0.714829i	0.0219076	−	0.0301532i
$563$	31.2247	−	18.0276i	1.31596	−	0.759771i	0.332886	−	0.942967i	$-0.391978\pi$
$563$	31.2247	−	18.0276i	1.31596	−	0.759771i	0.983076	+	0.183196i	$0.0586442\pi$
$564$	25.2181	−	43.6790i	1.06187	−	1.83922i
$565$	18.4452	+	7.45618i	0.775996	+	0.313684i
$566$	20.4999	−	14.8941i	0.861676	−	0.626044i
$567$	−5.68592	+	12.7708i	−0.238786	+	0.536322i
$568$	2.18362	+	10.2731i	0.0916226	+	0.431051i
$569$	−4.40369	+	41.8983i	−0.184612	+	1.75647i	0.374362	+	0.927283i	$0.377862\pi$
$569$	−4.40369	+	41.8983i	−0.184612	+	1.75647i	−0.558974	+	0.829185i	$0.688805\pi$
$570$	−21.8543	−	1.53212i	−0.915374	−	0.0641733i
$571$	−0.433948	+	0.481948i	−0.0181602	+	0.0201689i	−0.752156	−	0.658985i	$-0.770986\pi$
$571$	−0.433948	+	0.481948i	−0.0181602	+	0.0201689i	0.733996	+	0.679153i	$0.237653\pi$
$572$	−3.72931	+	0.391967i	−0.155930	+	0.0163889i
$573$	39.0840	−	12.6992i	1.63276	−	0.530515i
$574$	−9.82547	−	30.2397i	−0.410107	−	1.26218i
$575$	−1.75584	−	25.2390i	−0.0732235	−	1.05254i
$576$	−9.43543	+	10.4791i	−0.393143	+	0.436629i
$577$	−3.18904	+	2.87143i	−0.132762	+	0.119539i	−0.732837	−	0.680405i	$-0.761804\pi$
$577$	−3.18904	+	2.87143i	−0.132762	+	0.119539i	0.600075	+	0.799944i	$0.295137\pi$
$578$	−23.5370	−	2.47384i	−0.979009	−	0.102898i
$579$	37.3163	−	7.93183i	1.55081	−	0.329636i
$580$	−2.93182	+	1.06650i	−0.121737	+	0.0442841i
$581$	13.3767	−	9.71878i	0.554961	−	0.403203i
$582$	−4.49387	−	10.0934i	−0.186277	−	0.418384i
$583$	6.11858	+	3.53256i	0.253406	+	0.146304i
$584$	0.0299694	+	0.0519085i	0.00124014	+	0.00214799i
$585$	4.82135	+	34.3501i	0.199338	+	1.42020i
$586$	−12.0929	−	2.57043i	−0.499554	−	0.106184i
$587$	−20.5741	−	6.68493i	−0.849184	−	0.275917i	−0.148080	−	0.988975i	$-0.547309\pi$
$587$	−20.5741	−	6.68493i	−0.849184	−	0.275917i	−0.701104	+	0.713059i	$0.747309\pi$
$588$		−	6.48141i		−	0.267289i
$589$	−10.9470	+	2.26373i	−0.451064	+	0.0932752i
$590$	−29.5997	−	30.6624i	−1.21860	−	1.26235i
$591$	11.3293	−	34.8680i	0.466025	−	1.43428i
$592$	−3.93818	+	18.5277i	−0.161858	+	0.761484i
$593$	6.00303	−	8.26246i	0.246515	−	0.339299i	−0.667772	−	0.744366i	$-0.732752\pi$
$593$	6.00303	−	8.26246i	0.246515	−	0.339299i	0.914287	+	0.405067i	$0.132752\pi$
$594$	1.15448	+	1.99961i	0.0473688	+	0.0820452i
$595$	−6.80799	−	27.3261i	−0.279100	−	1.12026i
$596$	−7.27961	+	3.24109i	−0.298184	+	0.132760i
$597$	−5.72995	−	7.88659i	−0.234511	−	0.322777i
$598$	−15.8175	+	35.5267i	−0.646827	+	1.45280i
$599$	−27.0299	+	5.74539i	−1.10441	+	0.234750i	−0.723818	−	0.689991i	$-0.757614\pi$
$599$	−27.0299	+	5.74539i	−1.10441	+	0.234750i	−0.380596	+	0.924742i	$0.624281\pi$
$600$	11.8102	+	1.66411i	0.482149	+	0.0679370i
$601$	20.7633	+	23.0600i	0.846952	+	0.940635i	0.998859	−	0.0477594i	$-0.0152081\pi$
$601$	20.7633	+	23.0600i	0.846952	+	0.940635i	−0.151907	+	0.988395i	$0.548541\pi$
$602$	23.8750	+	21.4972i	0.973073	+	0.876159i
$603$	54.1862	−	5.69519i	2.20663	−	0.231926i
$604$	5.40444	+	16.6332i	0.219904	+	0.676794i
$605$	−20.9930	−	11.1670i	−0.853487	−	0.454003i
$606$	9.76557	+	92.9132i	0.396699	+	3.77434i
$607$	7.19897	+	6.48198i	0.292197	+	0.263095i	0.802171	−	0.597095i	$-0.203678\pi$
$607$	7.19897	+	6.48198i	0.292197	+	0.263095i	−0.509974	+	0.860190i	$0.670345\pi$
$608$	10.5152	−	9.46792i	0.426447	−	0.383975i
$609$	−0.581487	+	5.53248i	−0.0235630	+	0.224187i
$610$	−14.0318	−	9.46820i	−0.568130	−	0.383356i
$611$	48.0199	+	21.3798i	1.94268	+	0.864936i
$612$	18.2867	+	25.1694i	0.739195	+	1.01741i
$613$	−0.701069	−	1.57463i	−0.0283159	−	0.0635985i	0.898834	−	0.438289i	$-0.144416\pi$
$613$	−0.701069	−	1.57463i	−0.0283159	−	0.0635985i	−0.927150	+	0.374691i	$0.877749\pi$
$614$	−5.30430	+	9.18731i	−0.214064	+	0.370770i
$615$	11.7792	−	41.0514i	0.474985	−	1.65535i
$616$	1.03725	+	0.753607i	0.0417920	+	0.0303637i
$617$	5.55684	−	26.1429i	0.223710	−	1.05247i	−0.712674	−	0.701495i	$-0.752516\pi$
$617$	5.55684	−	26.1429i	0.223710	−	1.05247i	0.936384	−	0.350977i	$-0.114151\pi$
$618$	21.8599	+	7.10271i	0.879334	+	0.285713i
$619$	27.2886			1.09682			0.548412	−	0.836209i	$-0.315233\pi$
$619$	27.2886			1.09682			0.548412	+	0.836209i	$0.315233\pi$
$620$	−18.6456	+	2.51212i	−0.748825	+	0.100889i
$621$	10.3060			0.413565
$622$	−6.29626	−	2.04578i	−0.252457	−	0.0820283i
$623$	4.49245	−	21.1353i	0.179986	−	0.846769i
$624$	−40.9493	−	29.7514i	−1.63928	−	1.19101i
$625$	10.9432	+	22.4777i	0.437730	+	0.899107i
$626$	6.97243	−	12.0766i	0.278674	−	0.482678i
$627$	−1.28663	−	2.88981i	−0.0513829	−	0.115408i
$628$	−4.65038	−	6.40070i	−0.185570	−	0.255416i
$629$	19.8772	+	8.84991i	0.792557	+	0.352869i
$630$	−20.5079	+	30.3926i	−0.817056	+	1.21087i
$631$	−1.28885	+	12.2626i	−0.0513084	+	0.488166i	0.938450	+	0.345415i	$0.112262\pi$
$631$	−1.28885	+	12.2626i	−0.0513084	+	0.488166i	−0.989759	+	0.142752i	$0.954405\pi$
$632$	−3.88994	+	3.50251i	−0.154733	+	0.139323i
$633$	−8.49313	−	7.64725i	−0.337572	−	0.303951i
$634$	−1.86833	−	17.7760i	−0.0742008	−	0.705974i
$635$	4.94859	−	9.30294i	0.196379	−	0.369176i
$636$	−14.2020	−	43.7094i	−0.563148	−	1.73319i
$637$	6.71790	−	0.706080i	0.266173	−	0.0279759i
$638$	−0.777806	−	0.700340i	−0.0307937	−	0.0277267i
$639$	−29.0180	−	32.2277i	−1.14793	−	1.27491i
$640$	−12.5277	+	9.78414i	−0.495202	+	0.386752i
$641$	12.4379	−	2.64376i	0.491268	−	0.104422i	0.0443846	−	0.999015i	$-0.485867\pi$
$641$	12.4379	−	2.64376i	0.491268	−	0.104422i	0.446883	+	0.894592i	$0.352534\pi$
$642$	−13.3074	+	29.8890i	−0.525202	+	1.17962i
$643$	1.69932	+	2.33891i	0.0670145	+	0.0922376i	0.841209	−	0.540711i	$-0.181845\pi$
$643$	1.69932	+	2.33891i	0.0670145	+	0.0922376i	−0.774194	+	0.632948i	$0.781845\pi$
$644$	−16.1622	+	7.19586i	−0.636878	+	0.283557i
$645$	10.4321	+	41.8728i	0.410765	+	1.64874i
$646$	−10.2393	−	17.7350i	−0.402861	−	0.697775i
$647$	1.16554	−	1.60423i	0.0458223	−	0.0630690i	−0.785491	−	0.618873i	$-0.787590\pi$
$647$	1.16554	−	1.60423i	0.0458223	−	0.0630690i	0.831313	+	0.555804i	$0.187590\pi$
$648$	1.15064	−	5.41332i	0.0452013	−	0.212655i
$649$	1.90159	−	5.85250i	0.0746440	−	0.229731i
$650$	1.35481	−	38.4038i	0.0531399	−	1.50632i
$651$	−10.5430	+	31.8481i	−0.413211	+	1.24823i
$652$			10.5689i			0.413908i
$653$	−2.81535	−	0.914764i	−0.110173	−	0.0357975i	0.253412	−	0.967359i	$-0.418447\pi$
$653$	−2.81535	−	0.914764i	−0.110173	−	0.0357975i	−0.363585	+	0.931561i	$0.618447\pi$
$654$	−36.1545	−	7.68489i	−1.41375	−	0.300503i
$655$	−16.2909	+	2.28658i	−0.636539	+	0.0893440i
$656$	17.3768	+	30.0976i	0.678452	+	1.17511i
$657$	−0.214337	−	0.123747i	−0.00836207	−	0.00482785i
$658$	22.5988	+	50.7577i	0.880992	+	1.97874i
$659$	−19.7383	+	14.3407i	−0.768897	+	0.558636i	−0.901626	−	0.432516i	$-0.857626\pi$
$659$	−19.7383	+	14.3407i	−0.768897	+	0.558636i	0.132730	+	0.991152i	$0.457626\pi$
$660$	−1.82000	−	5.00319i	−0.0708435	−	0.194749i
$661$	33.3839	−	7.09597i	1.29848	−	0.276001i	0.493733	−	0.869613i	$-0.335632\pi$
$661$	33.3839	−	7.09597i	1.29848	−	0.276001i	0.804751	+	0.593612i	$0.202299\pi$
$662$	26.8097	+	2.81782i	1.04199	+	0.109518i
$663$	−43.2086	+	38.9052i	−1.67808	+	1.51095i
$664$	−4.38002	+	4.86450i	−0.169978	+	0.188779i
$665$	6.67812	−	7.95579i	0.258966	−	0.308512i
$666$	−8.75386	−	26.9416i	−0.339205	−	1.04397i
$667$	−4.44302	+	1.44363i	−0.172034	+	0.0558974i
$668$	24.5490	−	2.58021i	0.949831	−	0.0998312i
$669$	25.6458	−	28.4826i	0.991525	−	1.10120i
$670$	−60.2128	−	4.22128i	−2.32622	−	0.163082i
$671$	0.255484	−	2.43077i	0.00986285	−	0.0938387i
$672$	−8.82875	−	41.5360i	−0.340576	−	1.60229i
$673$	−5.94403	+	13.3505i	−0.229126	+	0.514625i	−0.991122	−	0.132957i	$-0.957553\pi$
$673$	−5.94403	+	13.3505i	−0.229126	+	0.514625i	0.761996	+	0.647582i	$0.224219\pi$
$674$	6.79697	−	4.93829i	0.261809	−	0.190216i
$675$	−9.44360	+	3.81154i	−0.363484	+	0.146706i
$676$	−2.88840	+	5.00286i	−0.111092	+	0.192418i
$677$	20.5814	−	11.8827i	0.791006	−	0.456688i	−0.0493106	−	0.998783i	$-0.515702\pi$
$677$	20.5814	−	11.8827i	0.791006	−	0.456688i	0.840317	+	0.542096i	$0.182369\pi$
$678$	25.5206	−	35.1261i	0.980114	−	1.34901i
$679$	5.12395	+	1.08913i	0.196639	+	0.0417969i
$680$	4.88550	+	10.0213i	0.187351	+	0.384299i
$681$	−13.6068			−0.521413
$682$	−3.68175	−	5.12682i	−0.140982	−	0.196316i
$683$			28.6484i			1.09620i	0.836412	+	0.548101i	$0.184649\pi$
$683$			28.6484i			1.09620i	−0.836412	+	0.548101i	$0.815351\pi$
$684$	−3.54600	+	10.9135i	−0.135585	+	0.417286i
$685$	−3.20333	−	5.12843i	−0.122393	−	0.195947i
$686$	30.3283	+	22.0348i	1.15794	+	0.841292i
$687$	−63.4996	+	36.6615i	−2.42266	+	1.39872i
$688$	−30.4110	−	17.5578i	−1.15941	−	0.669385i
$689$	43.7571	−	19.4819i	1.66701	−	0.742201i
$690$	−54.3728	−	9.59739i	−2.06994	−	0.365366i
$691$	−9.00983	−	4.01144i	−0.342750	−	0.152602i	0.228141	−	0.973628i	$-0.426735\pi$
$691$	−9.00983	−	4.01144i	−0.342750	−	0.152602i	−0.570891	+	0.821026i	$0.693402\pi$
$692$	−4.40776	−	20.7369i	−0.167558	−	0.788299i
$693$	−5.26500	−	0.553374i	−0.200001	−	0.0210209i
$694$	16.9963	+	18.8763i	0.645171	+	0.716535i
$695$	1.13794	+	32.7537i	0.0431644	+	1.24242i
$696$	−0.230204	−	2.19024i	−0.00872584	−	0.0830208i
$697$	37.9678	−	12.3365i	1.43813	−	0.467278i
$698$	−1.79981	+	0.584793i	−0.0681237	+	0.0221347i
$699$	−1.81112	−	17.2316i	−0.0685028	−	0.651761i
$700$	12.1484	−	12.5711i	0.459168	−	0.475143i
$701$	0.368986	+	0.409801i	0.0139364	+	0.0154780i	0.750073	−	0.661355i	$-0.230018\pi$
$701$	0.368986	+	0.409801i	0.0139364	+	0.0154780i	−0.736136	+	0.676833i	$0.763352\pi$
$702$	15.5678	+	1.63624i	0.587570	+	0.0617561i
$703$	1.66857	+	7.85001i	0.0629313	+	0.296069i
$704$	2.06062	+	0.917449i	0.0776627	+	0.0345777i
$705$	−12.9724	+	73.4933i	−0.488568	+	2.76792i
$706$	56.3088	−	25.0703i	2.11921	−	0.943534i
$707$	−38.3608	−	22.1476i	−1.44270	−	0.832946i
$708$	−34.6668	+	20.0149i	−1.30286	+	0.752206i
$709$	26.7178	+	19.4117i	1.00341	+	0.729020i	0.962817	−	0.270156i	$-0.0870752\pi$
$709$	26.7178	+	19.4117i	1.00341	+	0.729020i	0.0405933	+	0.999176i	$0.487075\pi$
$710$	25.4520	+	40.7478i	0.955195	+	1.52924i
$711$	6.67897	−	20.5557i	0.250481	−	0.770901i
$712$			8.55414i			0.320580i
$713$	−28.0344	+	2.79004i	−1.04990	+	0.104488i
$714$	−61.4579			−2.30000
$715$	4.98748	−	2.43145i	0.186521	−	0.0909312i
$716$	0.177451	+	0.0377183i	0.00663164	+	0.00140960i
$717$	31.9142	−	43.9262i	1.19186	−	1.64045i
$718$	−45.2376	+	26.1179i	−1.68825	+	0.974712i
$719$	5.65189	−	9.78936i	0.210780	−	0.365082i	−0.741179	−	0.671308i	$-0.765733\pi$
$719$	5.65189	−	9.78936i	0.210780	−	0.365082i	0.951959	+	0.306226i	$0.0990663\pi$
$720$	15.0191	−	37.1544i	0.559727	−	1.38466i
$721$	−8.81644	+	6.40552i	−0.328341	+	0.238554i
$722$	−11.4086	+	25.6241i	−0.424584	+	0.953631i
$723$	−5.19008	−	24.4174i	−0.193021	−	0.908094i
$724$	0.294332	−	2.80038i	0.0109387	−	0.104075i
$725$	3.53733	−	2.96602i	0.131373	−	0.110155i
$726$	−34.7229	+	38.5636i	−1.28869	+	1.43123i
$727$	−3.93919	+	0.414025i	−0.146096	+	0.0153554i	−0.177294	−	0.984158i	$-0.556734\pi$
$727$	−3.93919	+	0.414025i	−0.146096	+	0.0153554i	0.0311979	+	0.999513i	$0.490068\pi$
$728$	8.26667	−	2.68600i	0.306383	−	0.0995499i
$729$	11.9788	+	36.8670i	0.443660	+	1.36544i
$730$	0.210007	+	0.176281i	0.00777272	+	0.00652445i
$731$	−26.9910	+	29.9766i	−0.998300	+	1.10872i
$732$	−11.8155	+	10.6387i	−0.436712	+	0.393218i
$733$	−22.8429	−	2.40089i	−0.843724	−	0.0886789i	−0.327203	−	0.944954i	$-0.606106\pi$
$733$	−22.8429	−	2.40089i	−0.843724	−	0.0886789i	−0.516520	+	0.856275i	$0.672773\pi$
$734$	−67.1584	+	14.2750i	−2.47886	+	0.526898i
$735$	3.27851	+	9.01264i	0.120930	+	0.332436i
$736$	28.8499	−	20.9607i	1.06342	−	0.772622i
$737$	−3.54491	−	7.96200i	−0.130578	−	0.293284i
$738$	−45.0123	−	25.9879i	−1.65693	−	0.956627i
$739$	−5.79856	−	10.0434i	−0.213304	−	0.369453i	0.739443	−	0.673219i	$-0.235089\pi$
$739$	−5.79856	−	10.0434i	−0.213304	−	0.369453i	−0.952746	+	0.303767i	$0.901756\pi$
$740$	1.87743	+	13.3759i	0.0690157	+	0.491709i
$741$	−20.9769	−	4.45878i	−0.770606	−	0.163797i
$742$	48.1510	+	15.6452i	1.76768	+	0.574353i
$743$			9.27936i			0.340427i	0.985407	+	0.170213i	$0.0544457\pi$
$743$			9.27936i			0.340427i	−0.985407	+	0.170213i	$0.945554\pi$
$744$	1.46121	−	13.2006i	0.0535705	−	0.483956i
$745$	8.48311	−	8.18912i	0.310797	−	0.300026i
$746$	17.8303	−	54.8760i	0.652813	−	2.00915i
$747$	5.61955	−	26.4379i	0.205609	−	0.967313i
$748$	2.92518	−	4.02616i	0.106955	−	0.147211i
$749$	−7.75612	−	13.4340i	−0.283402	−	0.490867i
$750$	53.3725	−	11.3148i	1.94889	−	0.413159i
$751$	−16.2866	+	7.25124i	−0.594305	+	0.264602i	−0.681771	−	0.731566i	$-0.738790\pi$
$751$	−16.2866	+	7.25124i	−0.594305	+	0.264602i	0.0874657	+	0.996168i	$0.472123\pi$
$752$	−35.6961	−	49.1314i	−1.30170	−	1.79164i
$753$	−1.00333	+	2.25352i	−0.0365634	+	0.0821227i
$754$	−6.94066	+	1.47528i	−0.252764	+	0.0537266i
$755$	−15.9287	−	20.3953i	−0.579704	−	0.742260i
$756$	4.76506	+	5.29214i	0.173304	+	0.192473i
$757$	−19.3247	−	17.4001i	−0.702370	−	0.632417i	0.238517	−	0.971138i	$-0.423339\pi$
$757$	−19.3247	−	17.4001i	−0.702370	−	0.632417i	−0.940887	+	0.338722i	$0.890005\pi$
$758$	−21.7393	+	2.28489i	−0.789606	+	0.0829910i
$759$	−2.46357	−	7.58208i	−0.0894219	−	0.275212i
$760$	−1.93117	+	3.63045i	−0.0700510	+	0.131690i
$761$	0.625039	+	5.94685i	0.0226577	+	0.215573i	0.999992	+	0.00387387i	$0.00123309\pi$
$761$	0.625039	+	5.94685i	0.0226577	+	0.215573i	−0.977335	+	0.211699i	$0.932100\pi$
$762$	−17.0893	−	15.3872i	−0.619079	−	0.557421i
$763$	13.0234	−	11.7264i	0.471480	−	0.424523i
$764$	−2.49265	+	23.7160i	−0.0901810	+	0.858015i
$765$	−38.1598	−	25.7490i	−1.37967	−	0.930958i
$766$	43.9532	+	19.5692i	1.58809	+	0.707064i
$767$	−24.5218	−	33.7513i	−0.885429	−	1.21869i
$768$	22.0081	+	49.4311i	0.794151	+	1.78369i
$769$	12.1783	−	21.0935i	0.439161	−	0.760650i	−0.558464	−	0.829529i	$-0.688609\pi$
$769$	12.1783	−	21.0935i	0.439161	−	0.760650i	0.997625	+	0.0688792i	$0.0219423\pi$
$770$	5.63745	+	1.61760i	0.203160	+	0.0582943i
$771$	−17.2353	−	12.5222i	−0.620713	−	0.450975i
$772$	−4.60265	+	21.6538i	−0.165653	+	0.779337i
$773$	46.9825	+	15.2656i	1.68984	+	0.549064i	0.986780	−	0.162063i	$-0.0518146\pi$
$773$	46.9825	+	15.2656i	1.68984	+	0.549064i	0.703064	+	0.711126i	$0.251815\pi$
$774$	52.5170			1.88769
$775$	24.6567	−	12.9248i	0.885693	−	0.464271i
$776$	−2.07383			−0.0744460
$777$	22.9060	+	7.44260i	0.821747	+	0.267002i
$778$	6.22195	−	29.2720i	0.223068	−	1.04945i
$779$	11.9126	+	8.65502i	0.426814	+	0.310098i
$780$	−34.6937	−	9.95496i	−1.24223	−	0.356445i
$781$	−3.46852	+	6.00765i	−0.124113	+	0.214971i
$782$	−20.9922	−	47.1492i	−0.750679	−	1.68605i
$783$	1.10530	+	1.52131i	0.0395001	+	0.0543672i
$784$	−7.12952	−	3.17426i	−0.254626	−	0.113367i
$785$	9.70421	+	6.54809i	0.346358	+	0.233711i
$786$	−3.75267	+	35.7043i	−0.133853	+	1.27353i
$787$	−0.858217	+	0.772742i	−0.0305921	+	0.0275453i	−0.684285	−	0.729215i	$-0.739886\pi$
$787$	−0.858217	+	0.772742i	−0.0305921	+	0.0275453i	0.653693	+	0.756760i	$0.273219\pi$
$788$	15.8099	+	14.2353i	0.563204	+	0.507111i
$789$	1.26097	+	11.9974i	0.0448919	+	0.427118i
$790$	−11.2451	+	21.1398i	−0.400081	+	0.752119i
$791$	6.36134	+	19.5782i	0.226183	+	0.696120i
$792$	2.08435	−	0.219074i	0.0740641	−	0.00778445i
$793$	−12.3140	−	11.0876i	−0.437284	−	0.393733i
$794$	11.7741	+	13.0764i	0.417847	+	0.464066i
$795$	41.8581	+	53.5956i	1.48455	+	1.90084i
$796$	5.53313	−	1.17610i	0.196117	−	0.0416859i
$797$	−4.85564	+	10.9059i	−0.171995	+	0.386308i	−0.978890	−	0.204387i	$-0.934480\pi$
$797$	−4.85564	+	10.9059i	−0.171995	+	0.386308i	0.806895	+	0.590695i	$0.201146\pi$
$798$	−13.3241	−	18.3390i	−0.471667	−	0.649193i
$799$	−63.7295	+	28.3742i	−2.25459	+	1.00381i
$800$	−18.6837	+	29.8765i	−0.660570	+	1.05629i
$801$	−17.6606	−	30.5890i	−0.624005	−	1.08081i
$802$	26.9114	−	37.0403i	0.950274	−	1.30794i
$803$	−0.00823119	+	0.0387247i	−0.000290473	+	0.00136657i
$804$	−17.5195	+	53.9196i	−0.617867	+	1.90160i
$805$	18.8342	−	18.1815i	0.663817	−	0.640812i
$806$	−42.7906	−	0.236393i	−1.50724	−	0.00832659i
$807$			34.6145i			1.21849i
$808$	16.6776	+	5.41890i	0.586718	+	0.190636i
$809$	12.9345	+	2.74932i	0.454754	+	0.0966609i	0.429593	−	0.903022i	$-0.358657\pi$
$809$	12.9345	+	2.74932i	0.454754	+	0.0966609i	0.0251606	+	0.999683i	$0.491990\pi$
$810$	−3.51885	−	25.0704i	−0.123640	−	0.880882i
$811$	−23.4085	−	40.5448i	−0.821985	−	1.42372i	−0.904202	−	0.427105i	$-0.859533\pi$
$811$	−23.4085	−	40.5448i	−0.821985	−	1.42372i	0.0822171	−	0.996614i	$-0.473800\pi$
$812$	−2.79557	−	1.61403i	−0.0981054	−	0.0566412i
$813$	6.53730	+	14.6830i	0.229273	+	0.514956i
$814$	−3.66600	+	2.66351i	−0.128493	+	0.0933558i
$815$	−5.34608	−	14.6964i	−0.187265	−	0.514792i
$816$	65.7070	−	13.9665i	2.30021	−	0.488924i
$817$	−14.7966	−	1.55519i	−0.517669	−	0.0544092i
$818$	49.9612	−	44.9852i	1.74685	−	1.57287i
$819$	−24.0156	+	26.6720i	−0.839172	+	0.931995i
$820$	18.9816	+	15.9332i	0.662866	+	0.556412i
$821$	−7.54812	−	23.2307i	−0.263431	−	0.810758i	−0.992051	−	0.125839i	$-0.959838\pi$
$821$	−7.54812	−	23.2307i	−0.263431	−	0.810758i	0.728619	−	0.684919i	$-0.240162\pi$
$822$	−12.5500	+	4.07776i	−0.437733	+	0.142228i
$823$	−8.27924	+	0.870183i	−0.288596	+	0.0303327i	−0.247720	−	0.968832i	$-0.579681\pi$
$823$	−8.27924	+	0.870183i	−0.288596	+	0.0303327i	−0.0408757	+	0.999164i	$0.513015\pi$
$824$	2.88681	−	3.20613i	0.100567	−	0.111691i
$825$	5.06156	+	6.03651i	0.176221	+	0.210164i
$826$	4.60944	−	43.8559i	0.160383	−	1.52594i
$827$	7.39987	+	34.8137i	0.257319	+	1.21059i	0.897028	+	0.441973i	$0.145721\pi$
$827$	7.39987	+	34.8137i	0.257319	+	1.21059i	−0.639709	+	0.768617i	$0.720945\pi$
$828$	−11.7628	+	26.4198i	−0.408787	+	0.918151i
$829$	−2.11762	+	1.53854i	−0.0735479	+	0.0534357i	−0.623952	−	0.781463i	$-0.714474\pi$
$829$	−2.11762	+	1.53854i	−0.0735479	+	0.0534357i	0.550404	+	0.834899i	$0.314474\pi$
$830$	−11.2220	+	27.7611i	−0.389521	+	0.963603i
$831$	−16.4926	+	28.5660i	−0.572122	+	0.990944i
$832$	13.2433	−	7.64604i	0.459130	−	0.265079i
$833$	−5.26935	+	7.25264i	−0.182572	+	0.251289i
$834$	69.9601	+	14.8705i	2.42252	+	0.514922i
$835$	−32.8312	+	16.0056i	−1.13617	+	0.553896i
$836$	1.83558			0.0634849
$837$	4.55517	+	10.3851i	0.157450	+	0.358961i
$838$		−	24.1597i		−	0.834582i
$839$	14.3107	−	44.0438i	0.494060	−	1.52056i	−0.324356	−	0.945935i	$-0.605147\pi$
$839$	14.3107	−	44.0438i	0.494060	−	1.52056i	0.818416	−	0.574626i	$-0.194853\pi$
$840$	6.53776	+	10.4667i	0.225574	+	0.361137i
$841$	22.7719	+	16.5447i	0.785237	+	0.570508i
$842$	1.68565	−	0.973210i	0.0580913	−	0.0335390i
$843$	1.06348	+	0.614002i	0.0366283	+	0.0211473i
$844$	6.05842	−	2.69738i	0.208539	−	0.0928477i
$845$	1.48582	−	8.41771i	0.0511137	−	0.289578i
$846$	82.9721	+	36.9415i	2.85264	+	1.27008i
$847$	−5.11537	−	24.0659i	−0.175766	−	0.826915i
$848$	−55.0355	−	5.78447i	−1.88993	−	0.198639i
$849$	23.5646	+	26.1712i	0.808736	+	0.898192i
$850$	36.6732	+	35.4401i	1.25788	+	1.21559i
$851$	2.11419	+	20.1152i	0.0724734	+	0.689539i
$852$	42.9169	−	13.9446i	1.47031	−	0.477733i
$853$	−48.2020	+	15.6618i	−1.65040	+	0.536249i	−0.978828	−	0.204686i	$-0.934383\pi$
$853$	−48.2020	+	15.6618i	−1.65040	+	0.536249i	−0.671577	+	0.740935i	$0.734383\pi$
$854$	−1.83081	−	17.4190i	−0.0626489	−	0.596064i
$855$	−0.589549	−	16.9692i	−0.0201621	−	0.580336i
$856$	4.10920	+	4.56373i	0.140450	+	0.155985i
$857$	10.8336	+	1.13866i	0.370069	+	0.0388958i	0.287738	−	0.957709i	$-0.407097\pi$
$857$	10.8336	+	1.13866i	0.370069	+	0.0388958i	0.0823312	+	0.996605i	$0.473763\pi$
$858$	−2.51759	−	11.8443i	−0.0859491	−	0.404359i
$859$	9.82781	+	4.37562i	0.335320	+	0.149294i	0.567488	−	0.823381i	$-0.307915\pi$
$859$	9.82781	+	4.37562i	0.335320	+	0.149294i	−0.232168	+	0.972676i	$0.574582\pi$
$860$	−24.6593	−	4.35264i	−0.840876	−	0.148424i
$861$	40.3698	−	17.9738i	1.37580	−	0.612545i
$862$	43.3145	+	25.0076i	1.47530	+	0.851763i
$863$	−26.8476	+	15.5005i	−0.913903	+	0.527642i	−0.881685	−	0.471838i	$-0.843591\pi$
$863$	−26.8476	+	15.5005i	−0.913903	+	0.527642i	−0.0322184	+	0.999481i	$0.510257\pi$
$864$	−11.6127	−	8.43712i	−0.395072	−	0.287037i
$865$	16.6186	+	26.6058i	0.565048	+	0.904625i
$866$	9.65629	−	29.7190i	0.328134	−	1.00989i
$867$		−	32.8921i		−	1.11707i
$868$	−14.3946	−	13.1057i	−0.488586	−	0.444837i
$869$	−3.45736			−0.117283
$870$	−4.41467	−	9.05551i	−0.149671	−	0.307011i
$871$	−57.7955	−	12.2848i	−1.95833	−	0.416255i
$872$	−4.07796	+	5.61283i	−0.138097	+	0.190074i
$873$	7.41585	−	4.28154i	0.250988	−	0.144908i
$874$	9.51819	−	16.4860i	0.321958	−	0.557647i
$875$	−10.5340	+	23.6256i	−0.356113	+	0.798693i
$876$	0.208348	−	0.151374i	0.00703944	−	0.00511445i
$877$	4.21414	−	9.46512i	0.142301	−	0.319614i	−0.828309	−	0.560272i	$-0.810697\pi$
$877$	4.21414	−	9.46512i	0.142301	−	0.319614i	0.970610	+	0.240658i	$0.0773632\pi$
$878$	2.08298	+	9.79965i	0.0702972	+	0.330722i
$879$	1.79604	−	17.0882i	0.0605790	−	0.576371i
$880$	−6.39483	−	0.448316i	−0.215570	−	0.0151127i
$881$	28.3904	−	31.5307i	0.956497	−	1.06230i	−0.0415068	−	0.999138i	$-0.513216\pi$
$881$	28.3904	−	31.5307i	0.956497	−	1.06230i	0.998003	−	0.0631590i	$-0.0201175\pi$
$882$	11.6076	−	1.22001i	0.390850	−	0.0410800i
$883$	23.1350	−	7.51702i	0.778555	−	0.252968i	0.107332	−	0.994223i	$-0.465769\pi$
$883$	23.1350	−	7.51702i	0.778555	−	0.252968i	0.671223	+	0.741256i	$0.265769\pi$
$884$	−10.4259	−	32.0877i	−0.350661	−	1.07922i
$885$	38.0813	−	45.3671i	1.28009	−	1.52500i
$886$	−30.8218	+	34.2311i	−1.03548	+	1.15002i
$887$	−11.0596	+	9.95806i	−0.371343	+	0.334359i	−0.833581	−	0.552397i	$-0.813713\pi$
$887$	−11.0596	+	9.95806i	−0.371343	+	0.334359i	0.462238	+	0.886756i	$0.347047\pi$
$888$	−9.48263	−	0.996664i	−0.318216	−	0.0334459i
$889$	10.6647	−	2.26685i	0.357682	−	0.0760277i
$890$	13.3768	+	36.7729i	0.448392	+	1.23263i
$891$	2.95728	−	2.14859i	0.0990727	−	0.0719805i
$892$	9.04594	+	20.3175i	0.302881	+	0.680281i
$893$	−22.2834	−	12.8653i	−0.745685	−	0.430521i
$894$	−12.8659	−	22.2844i	−0.430300	−	0.745301i
$895$	−0.265831	+	0.0373117i	−0.00888573	+	0.00124719i
$896$	−16.0880	−	3.41960i	−0.537462	−	0.114241i
$897$	−51.4028	−	16.7018i	−1.71629	−	0.557656i
$898$			13.3465i			0.445379i
$899$	−3.41849	−	3.83905i	−0.114013	−	0.128040i
$900$	1.00751	−	28.5594i	0.0335838	−	0.951979i
$901$	−19.6435	+	60.4566i	−0.654421	+	2.01410i
$902$	−1.72861	+	8.13248i	−0.0575565	+	0.270782i
$903$	−26.2448	+	36.1229i	−0.873374	+	1.20210i
$904$	−4.07482	−	7.05779i	−0.135526	−	0.234739i
$905$	1.00724	+	4.04291i	0.0334819	+	0.134391i
$906$	−51.5930	+	22.9707i	−1.71406	+	0.763149i
$907$	−8.55246	−	11.7714i	−0.283980	−	0.390865i	0.643067	−	0.765810i	$-0.277662\pi$
$907$	−8.55246	−	11.7714i	−0.283980	−	0.390865i	−0.927047	+	0.374945i	$0.877662\pi$
$908$	3.21147	−	7.21308i	0.106576	−	0.239374i
$909$	−70.8257	+	15.0545i	−2.34914	+	0.499325i
$910$	31.3368	−	24.4740i	1.03880	−	0.811304i
$911$	26.6268	+	29.5720i	0.882185	+	0.979765i	0.999912	−	0.0132805i	$-0.00422745\pi$
$911$	26.6268	+	29.5720i	0.882185	+	0.979765i	−0.117727	+	0.993046i	$0.537561\pi$
$912$	18.4129	+	16.5790i	0.609711	+	0.548986i
$913$	−4.29987	+	0.451934i	−0.142305	+	0.0149568i
$914$	−21.7984	−	67.0885i	−0.721026	−	2.21909i
$915$	11.0484	−	20.7702i	0.365250	−	0.686640i
$916$	−4.44743	−	42.3145i	−0.146947	−	1.39811i
$917$	−12.6495	−	11.3896i	−0.417723	−	0.376119i
$918$	−15.4385	+	13.9009i	−0.509548	+	0.458799i
$919$	3.27331	−	31.1435i	0.107977	−	1.02733i	−0.797612	−	0.603171i	$-0.793904\pi$
$919$	3.27331	−	31.1435i	0.107977	−	1.02733i	0.905588	−	0.424157i	$-0.139430\pi$
$920$	−5.79677	+	8.59076i	−0.191114	+	0.283229i
$921$	−13.4692	−	5.99689i	−0.443826	−	0.197604i
$922$	26.3944	+	36.3288i	0.869254	+	1.19642i
$923$	19.1287	+	42.9637i	0.629628	+	1.41417i
$924$	2.75436	−	4.77069i	0.0906117	−	0.156944i
$925$	−9.37662	−	17.6500i	−0.308301	−	0.580330i
$926$	−29.5013	−	21.4339i	−0.969472	−	0.704362i
$927$	−3.70377	+	17.4249i	−0.121648	+	0.572308i
$928$	6.18820	+	2.01067i	0.203138	+	0.0660034i
$929$	−37.8376			−1.24141			−0.620705	−	0.784044i	$-0.713154\pi$
$929$	−37.8376			−1.24141			−0.620705	+	0.784044i	$0.713154\pi$
$930$	−14.3613	−	59.0321i	−0.470925	−	1.93574i
$931$	−3.30658			−0.108369
$932$	9.56211	+	3.10692i	0.313217	+	0.101770i
$933$	1.91298	−	8.99986i	0.0626282	−	0.294642i
$934$	31.4902	+	22.8790i	1.03039	+	0.748622i
$935$	−2.03100	+	7.07818i	−0.0664208	+	0.231481i
$936$	7.10434	−	12.3051i	0.232213	−	0.402204i
$937$	17.3196	+	38.9004i	0.565806	+	1.27082i	0.939271	+	0.343177i	$0.111503\pi$
$937$	17.3196	+	38.9004i	0.565806	+	1.27082i	−0.373465	+	0.927644i	$0.621830\pi$
$938$	−36.7104	−	50.5276i	−1.19864	−	1.64978i
$939$	17.7051	+	7.88283i	0.577785	+	0.257247i
$940$	−35.8977	−	24.2226i	−1.17085	−	0.790055i
$941$	−4.18933	+	39.8588i	−0.136568	+	1.29936i	0.684703	+	0.728823i	$0.259932\pi$
$941$	−4.18933	+	39.8588i	−0.136568	+	1.29936i	−0.821271	+	0.570538i	$0.806735\pi$
$942$	18.9861	−	17.0951i	0.618600	−	0.556990i
$943$	27.5782	+	24.8315i	0.898070	+	0.808626i
$944$	5.03823	+	47.9356i	0.163980	+	1.56017i
$945$	−9.30293	−	4.94859i	−0.302624	−	0.160977i
$946$	−2.59597	−	7.98959i	−0.0844024	−	0.259764i
$947$	9.53570	−	1.00224i	0.309869	−	0.0325685i	0.0516821	−	0.998664i	$-0.483542\pi$
$947$	9.53570	−	1.00224i	0.309869	−	0.0325685i	0.258187	+	0.966095i	$0.416875\pi$
$948$	16.7135	+	15.0489i	0.542829	+	0.488765i
$949$	0.179594	+	0.199460i	0.00582988	+	0.00647474i
$950$	−2.62458	+	18.6267i	−0.0851527	+	0.604329i
$951$	24.2984	−	5.16479i	0.787931	−	0.167480i
$952$	−4.69199	+	10.5384i	−0.152068	+	0.341551i
$953$	−14.4453	−	19.8823i	−0.467930	−	0.644051i	0.508199	−	0.861239i	$-0.330311\pi$
$953$	−14.4453	−	19.8823i	−0.467930	−	0.644051i	−0.976130	+	0.217189i	$0.930311\pi$
$954$	75.6064	−	33.6622i	2.44785	−	1.08985i
$955$	−8.53022	−	34.2388i	−0.276031	−	1.10794i
$956$	15.7533	+	27.2855i	0.509497	+	0.882475i
$957$	0.855011	−	1.17682i	0.0276386	−	0.0380413i
$958$	−4.21706	+	19.8397i	−0.136247	+	0.640992i
$959$	1.93337	−	5.95030i	0.0624318	−	0.192145i
$960$	15.0791	+	15.6205i	0.486677	+	0.504149i
$961$	−15.2024	−	27.0164i	−0.490401	−	0.871497i
$962$			30.7208i			0.990479i
$963$	−24.1163	−	7.83586i	−0.777137	−	0.252507i
$964$	14.1689	+	3.01168i	0.456348	+	0.0969998i
$965$	−4.55304	−	32.4386i	−0.146568	−	1.04423i
$966$	−28.5648	−	49.4757i	−0.919057	−	1.59185i
$967$	10.0438	+	5.79878i	0.322986	+	0.186476i	0.652723	−	0.757597i	$-0.273627\pi$
$967$	10.0438	+	5.79878i	0.322986	+	0.186476i	−0.329737	+	0.944073i	$0.606960\pi$
$968$	3.96172	+	8.89816i	0.127334	+	0.285998i
$969$	23.0258	−	16.7292i	0.739694	−	0.537419i
$970$	−8.91505	+	3.24301i	−0.286245	+	0.104127i
$971$	49.9624	−	10.6198i	1.60337	−	0.340807i	0.682563	−	0.730827i	$-0.260865\pi$
$971$	49.9624	−	10.6198i	1.60337	−	0.340807i	0.920806	+	0.390020i	$0.127532\pi$
$972$	−32.8313	−	3.45071i	−1.05307	−	0.110682i
$973$	−25.2007	+	22.6908i	−0.807898	+	0.727434i
$974$	−32.2087	+	35.7713i	−1.03203	+	1.14619i
$975$	53.2784	−	3.70649i	1.70628	−	0.118703i
$976$	5.91589	+	18.2072i	0.189363	+	0.582799i
$977$	14.3643	−	4.66724i	0.459555	−	0.149318i	−0.0700851	−	0.997541i	$-0.522327\pi$
$977$	14.3643	−	4.66724i	0.459555	−	0.149318i	0.529640	+	0.848223i	$0.322327\pi$
$978$	−33.9417	+	3.56742i	−1.08534	+	0.114074i
$979$	−3.78062	+	4.19880i	−0.120829	+	0.134194i
$980$	−5.55147	−	0.389192i	−0.177335	−	0.0124323i
$981$	2.99445	−	28.4903i	0.0956053	−	0.909624i
$982$	−4.48653	−	21.1075i	−0.143171	−	0.673567i
$983$	22.6293	−	50.8263i	0.721763	−	1.62111i	−0.0605084	−	0.998168i	$-0.519272\pi$
$983$	22.6293	−	50.8263i	0.721763	−	1.62111i	0.782271	−	0.622938i	$-0.214061\pi$
$984$	−14.1532	+	10.2829i	−0.451189	+	0.327808i
$985$	−29.1849	−	11.7975i	−0.929909	−	0.375900i
$986$	4.70853	−	8.15541i	0.149950	−	0.259721i
$987$	−66.8740	+	38.6097i	−2.12862	+	1.22896i
$988$	7.31460	−	10.0677i	0.232708	−	0.320296i
$989$	−36.6772	−	7.79599i	−1.16627	−	0.247898i
$990$	8.61770	−	4.20123i	0.273889	−	0.133524i
$991$	25.5556			0.811800			0.405900	−	0.913917i	$-0.366958\pi$
$991$	25.5556			0.811800			0.405900	+	0.913917i	$0.366958\pi$
$992$	33.8730	+	19.8069i	1.07547	+	0.628870i
$993$			37.4656i			1.18894i
$994$	−15.3616	+	47.2780i	−0.487239	+	1.49957i
$995$	−7.09911	+	4.43426i	−0.225057	+	0.140575i
$996$	22.7534	+	16.5313i	0.720970	+	0.523815i
$997$	41.9856	−	24.2404i	1.32970	−	0.767701i	0.344445	−	0.938806i	$-0.388067\pi$
$997$	41.9856	−	24.2404i	1.32970	−	0.767701i	0.985253	+	0.171105i	$0.0547338\pi$
$998$	56.7605	+	32.7707i	1.79672	+	1.03734i
$999$	7.43751	−	3.31139i	0.235312	−	0.104768i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	155.2.u.a.9.3	✓	112
5.2	odd	4		775.2.bl.f.226.12		112
5.3	odd	4		775.2.bl.f.226.3		112
5.4	even	2	inner	155.2.u.a.9.12	yes	112
31.7	even	15	inner	155.2.u.a.69.12	yes	112
155.7	odd	60		775.2.bl.f.751.12		112
155.38	odd	60		775.2.bl.f.751.3		112
155.69	even	30	inner	155.2.u.a.69.3	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
155.2.u.a.9.3	✓	112	1.1	even	1	trivial
155.2.u.a.9.12	yes	112	5.4	even	2	inner
155.2.u.a.69.3	yes	112	155.69	even	30	inner
155.2.u.a.69.12	yes	112	31.7	even	15	inner
775.2.bl.f.226.3		112	5.3	odd	4
775.2.bl.f.226.12		112	5.2	odd	4
775.2.bl.f.751.3		112	155.38	odd	60
775.2.bl.f.751.12		112	155.7	odd	60

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:	\( N \)	\(=\)	\( 155 = 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	155.u (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.78210 - 0.579041i) q^{2} +(0.541453 - 2.54734i) q^{3} +(1.22257 + 0.888250i) q^{4} +(-2.14934 - 0.616727i) q^{5} +(-2.43994 + 4.22609i) q^{6} +(-0.941056 - 2.11365i) q^{7} +(0.538385 + 0.741023i) q^{8} +(-3.45511 - 1.53831i) q^{9} +O(q^{10})\)	\(q+(-1.78210 - 0.579041i) q^{2} +(0.541453 - 2.54734i) q^{3} +(1.22257 + 0.888250i) q^{4} +(-2.14934 - 0.616727i) q^{5} +(-2.43994 + 4.22609i) q^{6} +(-0.941056 - 2.11365i) q^{7} +(0.538385 + 0.741023i) q^{8} +(-3.45511 - 1.53831i) q^{9} +(3.47323 + 2.34362i) q^{10} +(-0.0632389 + 0.601678i) q^{11} +(2.92464 - 2.63335i) q^{12} +(3.04805 + 2.74447i) q^{13} +(0.453172 + 4.31165i) q^{14} +(-2.73478 + 5.14115i) q^{15} +(-1.46434 - 4.50677i) q^{16} +(-5.41354 + 0.568986i) q^{17} +(5.26662 + 4.74209i) q^{18} +(-1.34344 - 1.49204i) q^{19} +(-2.07991 - 2.66314i) q^{20} +(-5.89370 + 1.25275i) q^{21} +(0.461094 - 1.03563i) q^{22} +(-2.97419 - 4.09363i) q^{23} +(2.17914 - 0.970218i) q^{24} +(4.23930 + 2.65111i) q^{25} +(-3.84277 - 6.65588i) q^{26} +(-1.19718 + 1.64777i) q^{27} +(0.726938 - 3.41998i) q^{28} +(0.285301 - 0.878067i) q^{29} +(7.85059 - 7.57852i) q^{30} +(2.81048 - 4.80637i) q^{31} +7.04752i q^{32} +(1.49844 + 0.486871i) q^{33} +(9.97696 + 2.12067i) q^{34} +(0.719103 + 5.12331i) q^{35} +(-2.85771 - 4.94970i) q^{36} +(-3.46170 - 1.99861i) q^{37} +(1.53020 + 3.43688i) q^{38} +(8.64147 - 6.27839i) q^{39} +(-0.700161 - 1.92474i) q^{40} +(-7.17376 + 1.52483i) q^{41} +(11.2286 + 1.18017i) q^{42} +(5.50700 - 4.95852i) q^{43} +(-0.611755 + 0.679423i) q^{44} +(6.47748 + 5.43722i) q^{45} +(2.92995 + 9.01745i) q^{46} +(12.1885 - 3.96028i) q^{47} +(-12.2731 + 1.28996i) q^{48} +(1.10200 - 1.22390i) q^{49} +(-6.01976 - 7.17927i) q^{50} +(-1.48178 + 14.0982i) q^{51} +(1.28868 + 6.06274i) q^{52} +(4.74989 - 10.6684i) q^{53} +(3.08762 - 2.24328i) q^{54} +(0.506993 - 1.25421i) q^{55} +(1.05961 - 1.83530i) q^{56} +(-4.52814 + 2.61432i) q^{57} +(-1.01687 + 1.39961i) q^{58} +(-9.94923 - 2.11477i) q^{59} +(-7.91009 + 3.85626i) q^{60} -4.03998 q^{61} +(-7.79165 + 6.93807i) q^{62} +8.75052i q^{63} +(1.15213 - 3.54589i) q^{64} +(-4.85868 - 7.77861i) q^{65} +(-2.38845 - 1.73531i) q^{66} +(-12.4759 + 7.20298i) q^{67} +(-7.12385 - 4.11295i) q^{68} +(-12.0382 + 5.35976i) q^{69} +(1.68509 - 9.54666i) q^{70} +(10.4750 + 4.66377i) q^{71} +(-0.720253 - 3.38852i) q^{72} +(0.0650801 + 0.00684020i) q^{73} +(5.01183 + 5.56620i) q^{74} +(9.04864 - 9.36346i) q^{75} +(-0.317146 - 3.01744i) q^{76} +(1.33125 - 0.432548i) q^{77} +(-19.0354 + 6.18499i) q^{78} +(0.597351 + 5.68341i) q^{79} +(0.367908 + 10.5897i) q^{80} +(-4.04293 - 4.49013i) q^{81} +(13.6673 + 1.43649i) q^{82} +(1.48583 + 6.99029i) q^{83} +(-8.31823 - 3.70351i) q^{84} +(11.9864 + 2.11574i) q^{85} +(-12.6852 + 5.64783i) q^{86} +(-2.08226 - 1.20219i) q^{87} +(-0.479904 + 0.277073i) q^{88} +(7.55544 + 5.48935i) q^{89} +(-8.39517 - 13.4404i) q^{90} +(2.93246 - 9.02519i) q^{91} -7.64658i q^{92} +(-10.7217 - 9.76165i) q^{93} -24.0143 q^{94} +(1.96732 + 4.03543i) q^{95} +(17.9524 + 3.81590i) q^{96} +(-1.33081 + 1.83171i) q^{97} +(-2.67257 + 1.54301i) q^{98} +(1.14407 - 1.98158i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q + 16 q^{4} - 5 q^{5} - 26 q^{6} - 32 q^{9}+O(q^{10}) \) 112 * q + 16 * q^4 - 5 * q^5 - 26 * q^6 - 32 * q^9	\( 112 q + 16 q^{4} - 5 q^{5} - 26 q^{6} - 32 q^{9} - 22 q^{10} - 10 q^{11} - 20 q^{14} - 18 q^{15} - 44 q^{16} - 46 q^{19} + 35 q^{20} + 26 q^{21} + 48 q^{24} + 19 q^{25} - 78 q^{26} + 16 q^{29} + 30 q^{30} - 26 q^{31} - 4 q^{34} - 27 q^{35} - 4 q^{36} - 63 q^{40} - 16 q^{41} - 86 q^{44} - 71 q^{45} + 4 q^{46} + 42 q^{49} - 10 q^{50} + 92 q^{51} + 32 q^{54} - 39 q^{55} - 34 q^{56} + 26 q^{59} - 71 q^{60} + 40 q^{61} + 24 q^{64} - 72 q^{65} + 252 q^{66} - 4 q^{69} - 26 q^{70} + 116 q^{71} - 18 q^{74} - 58 q^{75} + 224 q^{76} - 134 q^{79} + 158 q^{80} - 60 q^{81} - 20 q^{84} - 27 q^{85} - 126 q^{86} + 82 q^{89} + 129 q^{90} + 2 q^{91} - 244 q^{94} + 96 q^{95} + 208 q^{96} + 94 q^{99}+O(q^{100}) \) 112 * q + 16 * q^4 - 5 * q^5 - 26 * q^6 - 32 * q^9 - 22 * q^10 - 10 * q^11 - 20 * q^14 - 18 * q^15 - 44 * q^16 - 46 * q^19 + 35 * q^20 + 26 * q^21 + 48 * q^24 + 19 * q^25 - 78 * q^26 + 16 * q^29 + 30 * q^30 - 26 * q^31 - 4 * q^34 - 27 * q^35 - 4 * q^36 - 63 * q^40 - 16 * q^41 - 86 * q^44 - 71 * q^45 + 4 * q^46 + 42 * q^49 - 10 * q^50 + 92 * q^51 + 32 * q^54 - 39 * q^55 - 34 * q^56 + 26 * q^59 - 71 * q^60 + 40 * q^61 + 24 * q^64 - 72 * q^65 + 252 * q^66 - 4 * q^69 - 26 * q^70 + 116 * q^71 - 18 * q^74 - 58 * q^75 + 224 * q^76 - 134 * q^79 + 158 * q^80 - 60 * q^81 - 20 * q^84 - 27 * q^85 - 126 * q^86 + 82 * q^89 + 129 * q^90 + 2 * q^91 - 244 * q^94 + 96 * q^95 + 208 * q^96 + 94 * q^99

Introduction

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