LMFDB - Embedded newform 300.2.w.a.223.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(67,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 0, 13]))

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

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

chi := DirichletCharacter("300.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.w (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			223.18
Character	$\chi$	$=$	300.223
Dual form			300.2.w.a.187.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.210253 + 1.39850i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.91159 + 0.588077i) q^{4} +(-0.590092 + 2.15680i) q^{5} +(-1.15062 + 0.822241i) q^{6} +(1.77479 + 1.77479i) q^{7} +(-1.22434 - 2.54970i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})$	\(q+(0.210253 + 1.39850i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.91159 + 0.588077i) q^{4} +(-0.590092 + 2.15680i) q^{5} +(-1.15062 + 0.822241i) q^{6} +(1.77479 + 1.77479i) q^{7} +(-1.22434 - 2.54970i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-3.14035 - 0.371768i) q^{10} +(0.582275 + 0.801432i) q^{11} +(-1.39182 - 1.43626i) q^{12} +(-0.710606 - 4.48659i) q^{13} +(-2.10889 + 2.85520i) q^{14} +(-2.18962 + 0.453391i) q^{15} +(3.30833 - 2.24832i) q^{16} +(-3.22163 - 1.64150i) q^{17} +(-1.25499 - 0.651917i) q^{18} +(0.911162 + 2.80427i) q^{19} +(-0.140352 - 4.46993i) q^{20} +(-0.775613 + 2.38709i) q^{21} +(-0.998375 + 0.982813i) q^{22} +(-1.25105 + 7.89882i) q^{23} +(1.71596 - 2.24844i) q^{24} +(-4.30358 - 2.54542i) q^{25} +(6.12507 - 1.93710i) q^{26} +(-0.987688 - 0.156434i) q^{27} +(-4.43639 - 2.34896i) q^{28} +(0.616890 + 0.200440i) q^{29} +(-1.09444 - 2.96685i) q^{30} +(6.41357 - 2.08390i) q^{31} +(3.83986 + 4.15397i) q^{32} +(-0.449734 + 0.882653i) q^{33} +(1.61828 - 4.85057i) q^{34} +(-4.87517 + 2.78058i) q^{35} +(0.647838 - 1.89217i) q^{36} +(4.16075 - 0.658998i) q^{37} +(-3.73019 + 1.86386i) q^{38} +(3.67497 - 2.67002i) q^{39} +(6.22168 - 1.13610i) q^{40} +(9.50896 + 6.90867i) q^{41} +(-3.50142 - 0.582799i) q^{42} +(1.10111 - 1.10111i) q^{43} +(-1.58437 - 1.18959i) q^{44} +(-1.39804 - 1.74513i) q^{45} +(-11.3095 - 0.0888373i) q^{46} +(8.43980 - 4.30030i) q^{47} +(3.50522 + 1.92703i) q^{48} -0.700218i q^{49} +(2.65492 - 6.55373i) q^{50} -3.61572i q^{51} +(3.99684 + 8.15861i) q^{52} +(-5.38846 + 2.74556i) q^{53} +(0.0111084 - 1.41417i) q^{54} +(-2.07213 + 0.782931i) q^{55} +(2.35224 - 6.69815i) q^{56} +(-2.08496 + 2.08496i) q^{57} +(-0.150611 + 0.904861i) q^{58} +(-5.91350 - 4.29641i) q^{59} +(3.91902 - 2.15436i) q^{60} +(1.00189 - 0.727914i) q^{61} +(4.26280 + 8.53121i) q^{62} +(-2.47904 + 0.392641i) q^{63} +(-5.00198 + 6.24341i) q^{64} +(10.0960 + 1.11487i) q^{65} +(-1.32895 - 0.443371i) q^{66} +(-2.66543 + 5.23120i) q^{67} +(7.12376 + 1.24331i) q^{68} +(-7.60587 + 2.47130i) q^{69} +(-4.91366 - 6.23328i) q^{70} +(11.9160 + 3.87174i) q^{71} +(2.78240 + 0.508165i) q^{72} +(-8.37438 - 1.32637i) q^{73} +(1.79642 + 5.68024i) q^{74} +(0.314203 - 4.99012i) q^{75} +(-3.39089 - 4.82477i) q^{76} +(-0.388959 + 2.45579i) q^{77} +(4.50669 + 4.57805i) q^{78} +(2.78730 - 8.57843i) q^{79} +(2.89696 + 8.46213i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-7.66246 + 14.7508i) q^{82} +(3.13531 + 1.59752i) q^{83} +(0.0788583 - 5.01925i) q^{84} +(5.44146 - 5.97978i) q^{85} +(1.77141 + 1.30839i) q^{86} +(0.101469 + 0.640650i) q^{87} +(1.33051 - 2.46585i) q^{88} +(3.29356 + 4.53320i) q^{89} +(2.14662 - 2.32208i) q^{90} +(6.70159 - 9.22394i) q^{91} +(-2.25362 - 15.8350i) q^{92} +(4.76846 + 4.76846i) q^{93} +(7.78845 + 10.8989i) q^{94} +(-6.58592 + 0.310418i) q^{95} +(-1.95796 + 5.30720i) q^{96} +(3.83895 + 7.53437i) q^{97} +(0.979253 - 0.147223i) q^{98} -0.990625 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 12 q^{8}+O(q^{10}) $ 240 * q + 12 * q^8	$ 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) $ 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{11}{20}\right)$

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 $

$2$	0.210253	+	1.39850i	0.148671	+	0.988887i
$2$	0.210253	+	1.39850i	0.148671	+	0.988887i
$3$	0.453990	+	0.891007i	0.262112	+	0.514423i
$3$	0.453990	+	0.891007i	0.262112	+	0.514423i
$4$	−1.91159	+	0.588077i	−0.955794	+	0.294039i
$5$	−0.590092	+	2.15680i	−0.263897	+	0.964551i
$5$	−0.590092	+	2.15680i	−0.263897	+	0.964551i
$6$	−1.15062	+	0.822241i	−0.469737	+	0.335679i
$7$	1.77479	+	1.77479i	0.670809	+	0.670809i	0.957903	−	0.287094i	$-0.0926891\pi$
$7$	1.77479	+	1.77479i	0.670809	+	0.670809i	−0.287094	+	0.957903i	$0.592689\pi$
$8$	−1.22434	−	2.54970i	−0.432870	−	0.901456i
$9$	−0.587785	+	0.809017i	−0.195928	+	0.269672i
$10$	−3.14035	−	0.371768i	−0.993065	−	0.117563i
$11$	0.582275	+	0.801432i	0.175562	+	0.241641i	0.887726	−	0.460373i	$-0.152284\pi$
$11$	0.582275	+	0.801432i	0.175562	+	0.241641i	−0.712163	+	0.702014i	$0.752284\pi$
$12$	−1.39182	−	1.43626i	−0.401785	−	0.414611i
$13$	−0.710606	−	4.48659i	−0.197087	−	1.24436i	−0.865631	−	0.500683i	$-0.833082\pi$
$13$	−0.710606	−	4.48659i	−0.197087	−	1.24436i	0.668544	−	0.743673i	$-0.266918\pi$
$14$	−2.10889	+	2.85520i	−0.563624	+	0.763084i
$15$	−2.18962	+	0.453391i	−0.565357	+	0.117065i
$16$	3.30833	−	2.24832i	0.827083	−	0.562080i
$17$	−3.22163	−	1.64150i	−0.781361	−	0.398123i	0.0173417	−	0.999850i	$-0.494480\pi$
$17$	−3.22163	−	1.64150i	−0.781361	−	0.398123i	−0.798702	+	0.601727i	$0.794480\pi$
$18$	−1.25499	−	0.651917i	−0.295804	−	0.153658i
$19$	0.911162	+	2.80427i	0.209035	+	0.643343i	0.999524	+	0.0308666i	$0.00982672\pi$
$19$	0.911162	+	2.80427i	0.209035	+	0.643343i	−0.790489	+	0.612477i	$0.790173\pi$
$20$	−0.140352	−	4.46993i	−0.0313837	−	0.999507i
$21$	−0.775613	+	2.38709i	−0.169253	+	0.520906i
$22$	−0.998375	+	0.982813i	−0.212854	+	0.209536i
$23$	−1.25105	+	7.89882i	−0.260862	+	1.64702i	0.414877	+	0.909877i	$0.363825\pi$
$23$	−1.25105	+	7.89882i	−0.260862	+	1.64702i	−0.675739	+	0.737141i	$0.736175\pi$
$24$	1.71596	−	2.24844i	0.350270	−	0.458960i
$25$	−4.30358	−	2.54542i	−0.860716	−	0.509085i
$26$	6.12507	−	1.93710i	1.20123	−	0.379896i
$27$	−0.987688	−	0.156434i	−0.190081	−	0.0301058i
$28$	−4.43639	−	2.34896i	−0.838398	−	0.443911i
$29$	0.616890	+	0.200440i	0.114554	+	0.0372207i	0.365733	−	0.930720i	$-0.380818\pi$
$29$	0.616890	+	0.200440i	0.114554	+	0.0372207i	−0.251179	+	0.967941i	$0.580818\pi$
$30$	−1.09444	−	2.96685i	−0.199817	−	0.541670i
$31$	6.41357	−	2.08390i	1.15191	−	0.374279i	0.330048	−	0.943964i	$-0.392935\pi$
$31$	6.41357	−	2.08390i	1.15191	−	0.374279i	0.821863	+	0.569685i	$0.192935\pi$
$32$	3.83986	+	4.15397i	0.678797	+	0.734326i
$33$	−0.449734	+	0.882653i	−0.0782887	+	0.153650i
$34$	1.61828	−	4.85057i	0.277533	−	0.831867i
$35$	−4.87517	+	2.78058i	−0.824054	+	0.470005i
$36$	0.647838	−	1.89217i	0.107973	−	0.315362i
$37$	4.16075	−	0.658998i	0.684023	−	0.108339i	0.195255	−	0.980752i	$-0.437447\pi$
$37$	4.16075	−	0.658998i	0.684023	−	0.108339i	0.488768	+	0.872414i	$0.337447\pi$
$38$	−3.73019	+	1.86386i	−0.605116	+	0.302359i
$39$	3.67497	−	2.67002i	0.588466	−	0.427546i
$40$	6.22168	−	1.13610i	0.983734	−	0.179633i
$41$	9.50896	+	6.90867i	1.48505	+	1.07895i	0.975885	+	0.218283i	$0.0700457\pi$
$41$	9.50896	+	6.90867i	1.48505	+	1.07895i	0.509165	+	0.860669i	$0.329954\pi$
$42$	−3.50142	−	0.582799i	−0.540280	−	0.0899278i
$43$	1.10111	−	1.10111i	0.167918	−	0.167918i	−0.618146	−	0.786063i	$-0.712116\pi$
$43$	1.10111	−	1.10111i	0.167918	−	0.167918i	0.786063	+	0.618146i	$0.212116\pi$
$44$	−1.58437	−	1.18959i	−0.238853	−	0.179337i
$45$	−1.39804	−	1.74513i	−0.208408	−	0.260149i
$46$	−11.3095	−	0.0888373i	−1.66750	−	0.0130983i
$47$	8.43980	−	4.30030i	1.23107	−	0.627262i	0.287294	−	0.957842i	$-0.407244\pi$
$47$	8.43980	−	4.30030i	1.23107	−	0.627262i	0.943778	+	0.330580i	$0.107244\pi$
$48$	3.50522	+	1.92703i	0.505935	+	0.278143i
$49$		−	0.700218i		−	0.100031i
$50$	2.65492	−	6.55373i	0.375463	−	0.926837i
$51$		−	3.61572i		−	0.506302i
$52$	3.99684	+	8.15861i	0.554263	+	1.13140i
$53$	−5.38846	+	2.74556i	−0.740162	+	0.377131i	−0.783058	−	0.621948i	$-0.786341\pi$
$53$	−5.38846	+	2.74556i	−0.740162	+	0.377131i	0.0428967	+	0.999080i	$0.486341\pi$
$54$	0.0111084	−	1.41417i	0.00151167	−	0.192444i
$55$	−2.07213	+	0.782931i	−0.279405	+	0.105570i
$56$	2.35224	−	6.69815i	0.314332	−	0.895078i
$57$	−2.08496	+	2.08496i	−0.276160	+	0.276160i
$58$	−0.150611	+	0.904861i	−0.0197762	+	0.118814i
$59$	−5.91350	−	4.29641i	−0.769872	−	0.559345i	0.132051	−	0.991243i	$-0.457844\pi$
$59$	−5.91350	−	4.29641i	−0.769872	−	0.559345i	−0.901922	+	0.431898i	$0.857844\pi$
$60$	3.91902	−	2.15436i	0.505943	−	0.278127i
$61$	1.00189	−	0.727914i	0.128279	−	0.0931999i	−0.521796	−	0.853070i	$-0.674738\pi$
$61$	1.00189	−	0.727914i	0.128279	−	0.0931999i	0.650074	+	0.759871i	$0.274738\pi$
$62$	4.26280	+	8.53121i	0.541376	+	1.08347i
$63$	−2.47904	+	0.392641i	−0.312329	+	0.0494681i
$64$	−5.00198	+	6.24341i	−0.625247	+	0.780427i
$65$	10.0960	+	1.11487i	1.25225	+	0.138282i
$66$	−1.32895	−	0.443371i	−0.163582	−	0.0545752i
$67$	−2.66543	+	5.23120i	−0.325634	+	0.639093i	−0.994552	−	0.104244i	$-0.966758\pi$
$67$	−2.66543	+	5.23120i	−0.325634	+	0.639093i	0.668918	+	0.743336i	$0.266758\pi$
$68$	7.12376	+	1.24331i	0.863883	+	0.150773i
$69$	−7.60587	+	2.47130i	−0.915639	+	0.297509i
$70$	−4.91366	−	6.23328i	−0.587295	−	0.745019i
$71$	11.9160	+	3.87174i	1.41417	+	0.459491i	0.913744	−	0.406291i	$-0.133178\pi$
$71$	11.9160	+	3.87174i	1.41417	+	0.459491i	0.500423	+	0.865781i	$0.333178\pi$
$72$	2.78240	+	0.508165i	0.327909	+	0.0598878i
$73$	−8.37438	−	1.32637i	−0.980147	−	0.155240i	−0.354254	−	0.935149i	$-0.615265\pi$
$73$	−8.37438	−	1.32637i	−0.980147	−	0.155240i	−0.625893	+	0.779909i	$0.715265\pi$
$74$	1.79642	+	5.68024i	0.208829	+	0.660314i
$75$	0.314203	−	4.99012i	0.0362811	−	0.576209i
$76$	−3.39089	−	4.82477i	−0.388962	−	0.553439i
$77$	−0.388959	+	2.45579i	−0.0443260	+	0.279864i
$78$	4.50669	+	4.57805i	0.510283	+	0.518363i
$79$	2.78730	−	8.57843i	0.313596	−	0.965149i	−0.662732	−	0.748856i	$-0.730603\pi$
$79$	2.78730	−	8.57843i	0.313596	−	0.965149i	0.976328	−	0.216293i	$-0.0693967\pi$
$80$	2.89696	+	8.46213i	0.323890	+	0.946095i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	−7.66246	+	14.7508i	−0.846177	+	1.62896i
$83$	3.13531	+	1.59752i	0.344145	+	0.175351i	0.617516	−	0.786558i	$-0.288139\pi$
$83$	3.13531	+	1.59752i	0.344145	+	0.175351i	−0.273372	+	0.961908i	$0.588139\pi$
$84$	0.0788583	−	5.01925i	0.00860414	−	0.547646i
$85$	5.44146	−	5.97978i	0.590209	−	0.648598i
$86$	1.77141	+	1.30839i	0.191016	+	0.141087i
$87$	0.101469	+	0.640650i	0.0108786	+	0.0686849i
$88$	1.33051	−	2.46585i	0.141833	−	0.262861i
$89$	3.29356	+	4.53320i	0.349117	+	0.480518i	0.947076	−	0.321008i	$-0.104022\pi$
$89$	3.29356	+	4.53320i	0.349117	+	0.480518i	−0.597960	+	0.801526i	$0.704022\pi$
$90$	2.14662	−	2.32208i	0.226273	−	0.244768i
$91$	6.70159	−	9.22394i	0.702517	−	0.966932i
$92$	−2.25362	−	15.8350i	−0.234956	−	1.65091i
$93$	4.76846	+	4.76846i	0.494467	+	0.494467i
$94$	7.78845	+	10.8989i	0.803317	+	1.12413i
$95$	−6.58592	+	0.310418i	−0.675701	+	0.0318482i
$96$	−1.95796	+	5.30720i	−0.199833	+	0.541664i
$97$	3.83895	+	7.53437i	0.389786	+	0.764999i	0.999621	−	0.0275298i	$-0.00876413\pi$
$97$	3.83895	+	7.53437i	0.389786	+	0.764999i	−0.609835	+	0.792529i	$0.708764\pi$
$98$	0.979253	−	0.147223i	0.0989194	−	0.0148718i
$99$	−0.990625			−0.0995615
$100$	9.72358	+	2.33496i	0.972358	+	0.233496i
$101$	−6.21954			−0.618867			−0.309434	−	0.950921i	$-0.600139\pi$
$101$	−6.21954			−0.618867			−0.309434	+	0.950921i	$0.600139\pi$
$102$	5.05658	−	0.760217i	0.500676	−	0.0752727i
$103$	6.88277	+	13.5082i	0.678180	+	1.33100i	0.931543	+	0.363632i	$0.118463\pi$
$103$	6.88277	+	13.5082i	0.678180	+	1.33100i	−0.253363	+	0.967371i	$0.581537\pi$
$104$	−10.5694	+	7.30495i	−1.03642	+	0.716309i
$105$	−4.69080	−	3.08145i	−0.457775	−	0.300718i
$106$	−4.97259	−	6.95848i	−0.482981	−	0.675867i
$107$	−12.1376	−	12.1376i	−1.17338	−	1.17338i	−0.981398	−	0.191983i	$-0.938508\pi$
$107$	−12.1376	−	12.1376i	−1.17338	−	1.17338i	−0.191983	−	0.981398i	$-0.561492\pi$
$108$	1.98005	−	0.281799i	0.190530	−	0.0271161i
$109$	9.77725	−	13.4572i	0.936490	−	1.28897i	−0.0207832	−	0.999784i	$-0.506616\pi$
$109$	9.77725	−	13.4572i	0.936490	−	1.28897i	0.957273	−	0.289184i	$-0.0933840\pi$
$110$	−1.53060	−	2.73325i	−0.145937	−	0.260605i
$111$	2.47611	+	3.40808i	0.235022	+	0.323480i
$112$	9.86191	+	1.88130i	0.931863	+	0.177766i
$113$	−1.31076	−	8.27580i	−0.123306	−	0.778522i	−0.969400	−	0.245488i	$-0.921052\pi$
$113$	−1.31076	−	8.27580i	−0.123306	−	0.778522i	0.846094	−	0.533034i	$-0.178948\pi$
$114$	−3.35418	−	2.47744i	−0.314148	−	0.232034i
$115$	−16.2980	−	7.35930i	−1.51979	−	0.686258i
$116$	−1.29711	−	0.0203791i	−0.120434	−	0.00189215i
$117$	4.04741	+	2.06226i	0.374183	+	0.190656i
$118$	4.76518	−	9.17334i	0.438670	−	0.844474i
$119$	−2.80440	−	8.63106i	−0.257079	−	0.791208i
$120$	3.83686	+	5.02778i	0.350255	+	0.458971i
$121$	3.09594	−	9.52831i	0.281449	−	0.866210i
$122$	1.22864	+	1.24809i	0.111235	+	0.112997i
$123$	−1.83869	+	11.6090i	−0.165789	+	1.04675i
$124$	−11.0346	+	7.75522i	−0.990937	+	0.696439i
$125$	8.02948	−	7.77994i	0.718179	−	0.695859i
$126$	−1.07033	−	3.38437i	−0.0953527	−	0.301504i
$127$	−16.4029	−	2.59797i	−1.45552	−	0.230532i	−0.622001	−	0.783017i	$-0.713680\pi$
$127$	−16.4029	−	2.59797i	−1.45552	−	0.230532i	−0.833523	+	0.552484i	$0.813680\pi$
$128$	−9.78308	−	5.68255i	−0.864710	−	0.502271i
$129$	1.48099	+	0.481202i	0.130394	+	0.0423675i
$130$	0.563581	+	14.3536i	0.0494293	+	1.25890i
$131$	−14.3823	+	4.67308i	−1.25658	+	0.408289i	−0.860276	−	0.509829i	$-0.829709\pi$
$131$	−14.3823	+	4.67308i	−1.25658	+	0.408289i	−0.396308	+	0.918118i	$0.629709\pi$
$132$	0.340638	−	1.95175i	0.0296487	−	0.169878i
$133$	−3.35987	+	6.59412i	−0.291338	+	0.571783i
$134$	−7.87623	−	2.62772i	−0.680403	−	0.227000i
$135$	0.920225	−	2.03794i	0.0792004	−	0.175398i
$136$	−0.240970	+	10.2240i	−0.0206630	+	0.876698i
$137$	−8.05142	+	1.27522i	−0.687880	+	0.108949i	−0.490583	−	0.871394i	$-0.663216\pi$
$137$	−8.05142	+	1.27522i	−0.687880	+	0.108949i	−0.197296	+	0.980344i	$0.563216\pi$
$138$	−5.05526	−	10.1172i	−0.430332	−	0.861232i
$139$	−1.71761	+	1.24792i	−0.145686	+	0.105847i	−0.658241	−	0.752807i	$-0.728699\pi$
$139$	−1.71761	+	1.24792i	−0.145686	+	0.105847i	0.512555	+	0.858654i	$0.328699\pi$
$140$	7.68411	−	8.18230i	0.649426	−	0.691531i
$141$	7.66318	+	5.56763i	0.645356	+	0.468879i
$142$	−2.90924	+	17.4785i	−0.244138	+	1.46676i
$143$	3.18193	−	3.18193i	0.266086	−	0.266086i
$144$	−0.125658	+	3.99803i	−0.0104715	+	0.333169i
$145$	−0.796330	+	1.21223i	−0.0661316	+	0.100670i
$146$	0.0941859	−	11.9904i	0.00779488	−	0.992334i
$147$	0.623899	−	0.317892i	0.0514583	−	0.0262193i
$148$	−7.56609	+	3.70657i	−0.621929	+	0.304678i
$149$		−	6.70318i		−	0.549146i	−0.961566	−	0.274573i	$-0.911463\pi$
$149$		−	6.70318i		−	0.549146i	0.961566	−	0.274573i	$-0.0885365\pi$
$150$	7.04473	−	0.609776i	0.575200	−	0.0497880i
$151$			3.66896i			0.298576i	0.988794	+	0.149288i	$0.0476982\pi$
$151$			3.66896i			0.298576i	−0.988794	+	0.149288i	$0.952302\pi$
$152$	6.03448	−	5.75658i	0.489461	−	0.466920i
$153$	3.22163	−	1.64150i	0.260454	−	0.132708i
$154$	−3.51620	−	0.0276201i	−0.283343	−	0.00222569i
$155$	0.709950	+	15.0625i	0.0570245	+	1.20985i
$156$	−5.45485	+	7.26515i	−0.436737	+	0.581677i
$157$	12.4337	−	12.4337i	0.992319	−	0.992319i	−0.00765190	−	0.999971i	$-0.502436\pi$
$157$	12.4337	−	12.4337i	0.992319	−	0.992319i	0.999971	+	0.00765190i	$0.00243570\pi$
$158$	12.5830	+	2.09439i	1.00105	+	0.166621i
$159$	−4.89262	−	3.55469i	−0.388010	−	0.281906i
$160$	−11.2252	+	5.83058i	−0.887427	+	0.460948i
$161$	−16.2391	+	11.7984i	−1.27982	+	0.929846i
$162$	1.26508	−	0.632122i	0.0993939	−	0.0496642i
$163$	−9.09281	+	1.44016i	−0.712204	+	0.112802i	−0.502015	−	0.864859i	$-0.667408\pi$
$163$	−9.09281	+	1.44016i	−0.712204	+	0.112802i	−0.210189	+	0.977661i	$0.567408\pi$
$164$	−22.2400	−	7.61451i	−1.73666	−	0.594594i
$165$	−1.63832	−	1.49083i	−0.127543	−	0.116061i
$166$	−1.57492	+	4.72060i	−0.122237	+	0.366390i
$167$	7.73498	−	15.1807i	0.598550	−	1.17472i	−0.370725	−	0.928743i	$-0.620891\pi$
$167$	7.73498	−	15.1807i	0.598550	−	1.17472i	0.969275	−	0.245979i	$-0.0791093\pi$
$168$	7.03599	−	0.945031i	0.542839	−	0.0729108i
$169$	−7.26078	+	2.35917i	−0.558521	+	0.181475i
$170$	9.50679	+	6.35259i	0.729137	+	0.487222i
$171$	−2.80427	−	0.911162i	−0.214448	−	0.0696783i
$172$	−1.45733	+	2.75240i	−0.111120	+	0.209869i
$173$	−14.7932	−	2.34301i	−1.12470	−	0.178136i	−0.433749	−	0.901034i	$-0.642810\pi$
$173$	−14.7932	−	2.34301i	−1.12470	−	0.178136i	−0.690955	+	0.722898i	$0.742810\pi$
$174$	−0.874613	+	0.276603i	−0.0663043	+	0.0209692i
$175$	−3.12037	−	12.1556i	−0.235878	−	0.918875i
$176$	3.72823	+	1.34226i	0.281026	+	0.101177i
$177$	1.14346	−	7.21949i	0.0859474	−	0.542650i
$178$	−5.64718	+	5.55916i	−0.423274	+	0.416676i
$179$	−0.284605	+	0.875924i	−0.0212724	+	0.0654696i	−0.961129	−	0.276099i	$-0.910958\pi$
$179$	−0.284605	+	0.875924i	−0.0212724	+	0.0654696i	0.939857	+	0.341569i	$0.110958\pi$
$180$	3.69875	+	2.51381i	0.275688	+	0.187369i
$181$	−3.55067	−	10.9278i	−0.263919	−	0.812259i	−0.991940	−	0.126705i	$-0.959560\pi$
$181$	−3.55067	−	10.9278i	−0.263919	−	0.812259i	0.728022	−	0.685554i	$-0.240440\pi$
$182$	14.3087	+	7.43279i	1.06063	+	0.550955i
$183$	1.10342	+	0.562223i	0.0815675	+	0.0415607i
$184$	21.6714	−	6.48105i	1.59763	−	0.477789i
$185$	−1.03390	+	9.36278i	−0.0760137	+	0.688365i
$186$	−5.66610	+	7.67127i	−0.415458	+	0.562485i
$187$	−0.560321	−	3.53772i	−0.0409747	−	0.258704i
$188$	−13.6045	+	13.1836i	−0.992211	+	0.961516i
$189$	−1.47530	−	2.03058i	−0.107313	−	0.147703i
$190$	−1.81883	−	9.14512i	−0.131952	−	0.663457i
$191$	12.4464	−	17.1310i	0.900587	−	1.23955i	−0.0696930	−	0.997568i	$-0.522202\pi$
$191$	12.4464	−	17.1310i	0.900587	−	1.23955i	0.970280	−	0.241984i	$-0.0777980\pi$
$192$	−7.83377	−	1.62234i	−0.565354	−	0.117083i
$193$	10.4449	+	10.4449i	0.751839	+	0.751839i	0.974822	−	0.222983i	$-0.0715794\pi$
$193$	10.4449	+	10.4449i	0.751839	+	0.751839i	−0.222983	+	0.974822i	$0.571579\pi$
$194$	−9.72963	+	6.95289i	−0.698547	+	0.499188i
$195$	3.59014	+	9.50174i	0.257095	+	0.680434i
$196$	0.411782	+	1.33853i	0.0294130	+	0.0956091i
$197$	−9.78412	−	19.2024i	−0.697090	−	1.36812i	−0.919472	−	0.393156i	$-0.871383\pi$
$197$	−9.78412	−	19.2024i	−0.697090	−	1.36812i	0.222382	−	0.974960i	$-0.428617\pi$
$198$	−0.208282	−	1.38539i	−0.0148020	−	0.0984551i
$199$	10.7861			0.764606			0.382303	−	0.924037i	$-0.375131\pi$
$199$	10.7861			0.764606			0.382303	+	0.924037i	$0.375131\pi$
$200$	−1.22102	+	14.0893i	−0.0863393	+	0.996266i
$201$	−5.87111			−0.414116
$202$	−1.30768	−	8.69801i	−0.0920080	−	0.611990i
$203$	0.739113	+	1.45059i	0.0518755	+	0.101811i
$204$	2.12632	+	6.91177i	0.148872	+	0.483921i
$205$	−20.5118	+	16.4322i	−1.43261	+	1.14767i
$206$	−17.4441	+	12.4657i	−1.21539	+	0.868525i
$207$	−5.65493	−	5.65493i	−0.393045	−	0.393045i
$208$	−12.4382	−	13.2454i	−0.862435	−	0.918407i
$209$	−1.71688	+	2.36309i	−0.118759	+	0.163458i
$210$	3.32314	−	7.20795i	0.229318	−	0.497396i
$211$	13.2828	+	18.2822i	0.914424	+	1.25860i	0.965633	+	0.259909i	$0.0836925\pi$
$211$	13.2828	+	18.2822i	0.914424	+	1.25860i	−0.0512093	+	0.998688i	$0.516308\pi$
$212$	8.68591	−	8.41720i	0.596551	−	0.578096i
$213$	1.96000	+	12.3749i	0.134297	+	0.847917i
$214$	14.4224	−	19.5263i	0.985893	−	1.33479i
$215$	1.72512	+	3.02463i	0.117652	+	0.206278i
$216$	0.810406	+	2.70984i	0.0551412	+	0.184381i
$217$	15.0812	+	7.68428i	1.02378	+	0.521643i
$218$	20.8756	+	10.8440i	1.41387	+	0.734450i
$219$	−2.62008	−	8.06379i	−0.177049	−	0.544900i
$220$	3.50062	−	2.71521i	0.236012	−	0.183059i
$221$	−5.07544	+	15.6206i	−0.341411	+	1.05076i
$222$	−4.24557	+	4.17939i	−0.284944	+	0.280503i
$223$	−0.0533298	+	0.336711i	−0.00357123	+	0.0225478i	−0.989410	−	0.145150i	$-0.953633\pi$
$223$	−0.0533298	+	0.336711i	−0.00357123	+	0.0225478i	0.985838	+	0.167698i	$0.0536334\pi$
$224$	−0.557492	+	14.1874i	−0.0372490	+	0.947935i
$225$	4.58887	−	1.98551i	0.305925	−	0.132367i
$226$	11.2981	−	3.57310i	0.751538	−	0.237679i
$227$	−14.9903	−	2.37422i	−0.994939	−	0.157583i	−0.362326	−	0.932051i	$-0.618017\pi$
$227$	−14.9903	−	2.37422i	−0.994939	−	0.157583i	−0.632612	+	0.774469i	$0.718017\pi$
$228$	2.75947	−	5.21171i	0.182750	−	0.345154i
$229$	17.8213	+	5.79049i	1.17766	+	0.382646i	0.831498	−	0.555527i	$-0.187484\pi$
$229$	17.8213	+	5.79049i	1.17766	+	0.382646i	0.346166	+	0.938173i	$0.387484\pi$
$230$	6.86526	−	24.3400i	0.452682	−	1.60493i
$231$	−2.36471	+	0.768341i	−0.155587	+	0.0505532i
$232$	−0.244222	−	1.81829i	−0.0160340	−	0.119377i
$233$	8.78825	−	17.2479i	0.575737	−	1.12995i	−0.401114	−	0.916028i	$-0.631377\pi$
$233$	8.78825	−	17.2479i	0.575737	−	1.12995i	0.976851	−	0.213920i	$-0.0686232\pi$
$234$	−2.03308	+	6.09389i	−0.132907	+	0.398370i
$235$	4.29462	+	20.7406i	0.280150	+	1.35296i
$236$	13.8308	+	4.73536i	0.900307	+	0.308246i
$237$	8.90885	−	1.41102i	0.578692	−	0.0916558i
$238$	11.4809	−	5.73665i	0.744195	−	0.371852i
$239$	−0.648942	+	0.471484i	−0.0419765	+	0.0304977i	−0.608576	−	0.793496i	$-0.708259\pi$
$239$	−0.648942	+	0.471484i	−0.0419765	+	0.0304977i	0.566599	+	0.823994i	$0.308259\pi$
$240$	−6.22462	+	6.42294i	−0.401797	+	0.414599i
$241$	−10.2685	−	7.46048i	−0.661451	−	0.480572i	0.205702	−	0.978615i	$-0.434052\pi$
$241$	−10.2685	−	7.46048i	−0.661451	−	0.480572i	−0.867152	+	0.498043i	$0.834052\pi$
$242$	13.9762	+	2.32630i	0.898427	+	0.149540i
$243$	0.707107	−	0.707107i	0.0453609	−	0.0453609i
$244$	−1.48713	+	1.98066i	−0.0952035	+	0.126799i
$245$	1.51023	+	0.413193i	0.0964851	+	0.0263979i
$246$	−16.6218	−	0.130565i	−1.05976	−	0.00832455i
$247$	11.9341	−	6.08074i	0.759350	−	0.386908i
$248$	−13.1657	−	13.8013i	−0.836024	−	0.876384i
$249$			3.51884i			0.222997i
$250$	12.5684	+	9.59345i	0.794898	+	0.606743i
$251$			5.05741i			0.319221i	0.987180	+	0.159610i	$0.0510238\pi$
$251$			5.05741i			0.319221i	−0.987180	+	0.159610i	$0.948976\pi$
$252$	4.50799	−	2.20843i	0.283977	−	0.139118i
$253$	−7.05882	+	3.59665i	−0.443784	+	0.226119i
$254$	0.184482	−	23.4857i	0.0115754	−	1.47362i
$255$	7.79839	+	2.13361i	0.488354	+	0.133612i
$256$	5.89011	−	14.8764i	0.368132	−	0.929774i
$257$	−5.59294	+	5.59294i	−0.348878	+	0.348878i	−0.859692	−	0.510814i	$-0.829344\pi$
$257$	−5.59294	+	5.59294i	−0.348878	+	0.348878i	0.510814	+	0.859692i	$0.329344\pi$
$258$	−0.361577	+	2.17233i	−0.0225108	+	0.135244i
$259$	8.55406	+	6.21489i	0.531523	+	0.386174i
$260$	−19.9550	+	3.80606i	−1.23756	+	0.236042i
$261$	−0.524758	+	0.381259i	−0.0324817	+	0.0235993i
$262$	−9.55921	−	19.1310i	−0.590570	−	1.18192i
$263$	−5.26506	+	0.833904i	−0.324658	+	0.0514207i	−0.316636	−	0.948547i	$-0.602553\pi$
$263$	−5.26506	+	0.833904i	−0.324658	+	0.0514207i	−0.00802154	+	0.999968i	$0.502553\pi$
$264$	2.80113	+	0.0660203i	0.172398	+	0.00406327i
$265$	−2.74193	−	13.2420i	−0.168436	−	0.813447i
$266$	−9.92828	−	3.31234i	−0.608742	−	0.203092i
$267$	−2.54386	+	4.99262i	−0.155682	+	0.305543i
$268$	2.01885	−	11.5674i	0.123321	−	0.706590i
$269$	14.5139	−	4.71586i	0.884929	−	0.287531i	0.168926	−	0.985629i	$-0.445970\pi$
$269$	14.5139	−	4.71586i	0.884929	−	0.287531i	0.716002	+	0.698098i	$0.245970\pi$
$270$	3.04353	+	0.858449i	0.185223	+	0.0522436i
$271$	15.8393	+	5.14649i	0.962167	+	0.312627i	0.747650	−	0.664093i	$-0.231182\pi$
$271$	15.8393	+	5.14649i	0.962167	+	0.312627i	0.214517	+	0.976720i	$0.431182\pi$
$272$	−14.3489	+	1.81263i	−0.870027	+	0.109907i
$273$	11.2611	+	1.78358i	0.681550	+	0.107947i
$274$	−3.47623	−	10.9918i	−0.210007	−	0.664037i
$275$	−0.465882	−	4.93116i	−0.0280938	−	0.297360i
$276$	13.0860	−	9.19693i	0.787682	−	0.553590i
$277$	−2.26929	+	14.3277i	−0.136349	+	0.860871i	0.820788	+	0.571233i	$0.193535\pi$
$277$	−2.26929	+	14.3277i	−0.136349	+	0.860871i	−0.957136	+	0.289638i	$0.906465\pi$
$278$	−2.10634	−	2.13970i	−0.126330	−	0.128330i
$279$	−2.08390	+	6.41357i	−0.124760	+	0.383970i
$280$	13.0585	+	9.02585i	0.780397	+	0.539398i
$281$	0.523806	+	1.61211i	0.0312476	+	0.0961703i	0.965464	−	0.260537i	$-0.0838995\pi$
$281$	0.523806	+	1.61211i	0.0312476	+	0.0961703i	−0.934216	+	0.356707i	$0.883899\pi$
$282$	−6.17510	+	11.8875i	−0.367722	+	0.707893i
$283$	1.89544	+	0.965777i	0.112672	+	0.0574095i	0.509418	−	0.860519i	$-0.329861\pi$
$283$	1.89544	+	0.965777i	0.112672	+	0.0574095i	−0.396746	+	0.917928i	$0.629861\pi$
$284$	−25.0553	−	0.393648i	−1.48676	−	0.0233587i
$285$	−3.26653	−	5.72717i	−0.193493	−	0.339248i
$286$	5.11893	+	3.78091i	0.302689	+	0.223570i
$287$	4.61499	+	29.1379i	0.272414	+	1.71996i
$288$	−5.61765	+	0.664865i	−0.331023	+	0.0391776i
$289$	−2.30797	−	3.17665i	−0.135763	−	0.186862i
$290$	−1.86273	−	0.858790i	−0.109383	−	0.0504299i
$291$	−4.97032	+	6.84106i	−0.291365	+	0.401030i
$292$	16.7884	−	2.38931i	0.982465	−	0.139824i
$293$	12.5122	+	12.5122i	0.730972	+	0.730972i	0.970812	−	0.239840i	$-0.0770951\pi$
$293$	12.5122	+	12.5122i	0.730972	+	0.730972i	−0.239840	+	0.970812i	$0.577095\pi$
$294$	0.575748	+	0.805683i	0.0335783	+	0.0469884i
$295$	12.7560	−	10.2190i	0.742683	−	0.594971i
$296$	−6.77443	−	9.80184i	−0.393756	−	0.569720i
$297$	−0.449734	−	0.882653i	−0.0260962	−	0.0512167i
$298$	9.37438	−	1.40937i	0.543043	−	0.0816424i
$299$	36.3278			2.10089
$300$	2.33395	+	9.72382i	0.134750	+	0.561405i
$301$	3.90848			0.225281
$302$	−5.13104	+	0.771412i	−0.295258	+	0.0443898i
$303$	−2.82361	−	5.54165i	−0.162212	−	0.318360i
$304$	9.31932	+	7.22886i	0.534500	+	0.414604i
$305$	0.978760	+	2.59041i	0.0560436	+	0.148326i
$306$	2.97300	+	4.16031i	0.169955	+	0.237829i
$307$	−18.9220	−	18.9220i	−1.07994	−	1.07994i	−0.996514	−	0.0834227i	$-0.973415\pi$
$307$	−18.9220	−	18.9220i	−1.07994	−	1.07994i	−0.0834227	−	0.996514i	$-0.526585\pi$
$308$	−0.700666	−	4.92320i	−0.0399241	−	0.280525i
$309$	−8.91119	+	12.2652i	−0.506940	+	0.697743i
$310$	−20.9156	+	4.15980i	−1.18792	+	0.236261i
$311$	1.35781	+	1.86887i	0.0769945	+	0.105974i	0.845777	−	0.533536i	$-0.179137\pi$
$311$	1.35781	+	1.86887i	0.0769945	+	0.105974i	−0.768783	+	0.639510i	$0.779137\pi$
$312$	−11.3072	−	6.10107i	−0.640143	−	0.345405i
$313$	−1.02291	−	6.45842i	−0.0578185	−	0.365052i	−0.999586	−	0.0287858i	$-0.990836\pi$
$313$	−1.02291	−	6.45842i	−0.0578185	−	0.365052i	0.941767	−	0.336266i	$-0.109164\pi$
$314$	20.0027	+	14.7743i	1.12882	+	0.833761i
$315$	0.616012	−	5.57848i	0.0347083	−	0.314312i
$316$	−0.283391	+	18.0376i	−0.0159420	+	1.01469i
$317$	−17.7707	−	9.05465i	−0.998105	−	0.508560i	−0.122955	−	0.992412i	$-0.539237\pi$
$317$	−17.7707	−	9.05465i	−0.998105	−	0.508560i	−0.875150	+	0.483853i	$0.839237\pi$
$318$	3.94254	−	7.58970i	0.221087	−	0.425609i
$319$	0.198560	+	0.611106i	0.0111172	+	0.0342154i
$320$	−10.5142	−	14.4725i	−0.587760	−	0.809035i
$321$	5.30431	−	16.3250i	0.296057	−	0.911171i
$322$	−19.9144	−	20.2297i	−1.10979	−	1.12736i
$323$	1.66779	−	10.5300i	0.0927982	−	0.585905i
$324$	1.15001	+	1.63630i	0.0638893	+	0.0909056i
$325$	−8.36212	+	21.1172i	−0.463847	+	1.17137i
$326$	−3.92585	−	12.4135i	−0.217433	−	0.687518i
$327$	16.4293	+	2.60214i	0.908540	+	0.143899i
$328$	5.97283	−	32.7036i	0.329795	−	1.80575i
$329$	22.6110	+	7.34677i	1.24659	+	0.405041i
$330$	1.74046	−	2.60464i	0.0958094	−	0.143381i
$331$	−29.5081	+	9.58775i	−1.62191	+	0.526990i	−0.972392	−	0.233355i	$-0.925029\pi$
$331$	−29.5081	+	9.58775i	−1.62191	+	0.526990i	−0.649518	+	0.760346i	$0.725029\pi$
$332$	−6.93288	−	1.20999i	−0.380491	−	0.0664071i
$333$	−1.91249	+	3.75347i	−0.104804	+	0.205689i
$334$	22.8565	+	7.62554i	1.25065	+	0.417251i
$335$	−9.70981	−	8.83569i	−0.530503	−	0.482745i
$336$	2.80096	+	9.64112i	0.152805	+	0.525966i
$337$	−19.6994	+	3.12009i	−1.07310	+	0.169962i	−0.667888	−	0.744262i	$-0.732801\pi$
$337$	−19.6994	+	3.12009i	−1.07310	+	0.169962i	−0.405209	+	0.914224i	$0.632801\pi$
$338$	−4.82589	−	9.65815i	−0.262494	−	0.525334i
$339$	6.77872	−	4.92503i	0.368169	−	0.267491i
$340$	−6.88525	+	14.6309i	−0.373405	+	0.793470i
$341$	5.40456	+	3.92664i	0.292673	+	0.212640i
$342$	0.684651	−	4.11334i	0.0370217	−	0.222424i
$343$	13.6663	−	13.6663i	0.737911	−	0.737911i
$344$	−4.15564	−	1.45937i	−0.224057	−	0.0786839i
$345$	−0.841931	−	17.8626i	−0.0453280	−	0.961692i
$346$	0.166377	−	21.1808i	0.00894451	−	1.13869i
$347$	3.24564	−	1.65374i	0.174235	−	0.0887772i	−0.364698	−	0.931126i	$-0.618828\pi$
$347$	3.24564	−	1.65374i	0.174235	−	0.0887772i	0.538933	+	0.842349i	$0.318828\pi$
$348$	−0.570719	−	1.16499i	−0.0305937	−	0.0624499i
$349$			24.4825i			1.31052i	0.755405	+	0.655258i	$0.227440\pi$
$349$			24.4825i			1.31052i	−0.755405	+	0.655258i	$0.772560\pi$
$350$	16.3435	−	6.91957i	0.873595	−	0.369867i
$351$			4.54251i			0.242461i
$352$	−1.09328	+	5.49614i	−0.0582719	+	0.292945i
$353$	14.7437	−	7.51230i	0.784729	−	0.399839i	−0.0152379	−	0.999884i	$-0.504851\pi$
$353$	14.7437	−	7.51230i	0.784729	−	0.399839i	0.799966	+	0.600045i	$0.204851\pi$
$354$	10.3369	+	0.0811969i	0.549397	+	0.00431557i
$355$	−15.3821	+	23.4157i	−0.816397	+	1.24278i
$356$	−8.96180	−	6.72874i	−0.474975	−	0.356622i
$357$	6.41716	−	6.41716i	0.339632	−	0.339632i
$358$	−1.28482	−	0.213853i	−0.0679046	−	0.0113025i
$359$	6.02704	+	4.37890i	0.318095	+	0.231109i	0.735362	−	0.677674i	$-0.237012\pi$
$359$	6.02704	+	4.37890i	0.318095	+	0.231109i	−0.417267	+	0.908784i	$0.637012\pi$
$360$	−2.73789	+	5.70123i	−0.144299	+	0.300481i
$361$	8.33761	−	6.05763i	0.438822	−	0.318823i
$362$	14.5360	−	7.26321i	0.763995	−	0.381746i
$363$	9.89532	−	1.56726i	0.519369	−	0.0822600i
$364$	−7.38628	+	21.5734i	−0.387146	+	1.13075i
$365$	7.80238	−	17.2792i	0.408395	−	0.904434i
$366$	−0.554268	+	1.66134i	−0.0289721	+	0.0868399i
$367$	−12.3376	+	24.2139i	−0.644018	+	1.26396i	0.306080	+	0.952006i	$0.400982\pi$
$367$	−12.3376	+	24.2139i	−0.644018	+	1.26396i	−0.950098	+	0.311951i	$0.899018\pi$
$368$	13.6202	+	28.9447i	0.710002	+	1.50885i
$369$	−11.1785	+	3.63210i	−0.581927	+	0.189080i
$370$	−13.3112	+	0.522651i	−0.692016	+	0.0271713i
$371$	−14.4362	−	4.69060i	−0.749490	−	0.243524i
$372$	−11.9196	−	6.31111i	−0.618000	−	0.327216i
$373$	1.04989	+	0.166286i	0.0543613	+	0.00860998i	0.183556	−	0.983009i	$-0.441239\pi$
$373$	1.04989	+	0.166286i	0.0543613	+	0.00860998i	−0.129195	+	0.991619i	$0.541239\pi$
$374$	4.82969	−	1.52742i	0.249737	−	0.0789813i
$375$	10.5773	+	3.62230i	0.546209	+	0.187055i
$376$	−21.2977	−	16.2540i	−1.09834	−	0.838235i
$377$	0.460925	−	2.91016i	0.0237388	−	0.149881i
$378$	2.52957	−	2.49014i	0.130107	−	0.128079i
$379$	5.91385	−	18.2010i	0.303774	−	0.934921i	−0.676358	−	0.736573i	$-0.736443\pi$
$379$	5.91385	−	18.2010i	0.303774	−	0.934921i	0.980132	−	0.198347i	$-0.0635574\pi$
$380$	12.4070	−	4.46642i	0.636466	−	0.229123i
$381$	−5.13196	−	15.7946i	−0.262919	−	0.809180i
$382$	26.5745	+	13.8044i	1.35967	+	0.706293i
$383$	18.3322	+	9.34072i	0.936731	+	0.477289i	0.854573	−	0.519331i	$-0.173819\pi$
$383$	18.3322	+	9.34072i	0.936731	+	0.477289i	0.0821581	+	0.996619i	$0.473819\pi$
$384$	0.621765	−	11.2966i	0.0317293	−	0.576478i
$385$	−5.06714	−	2.28805i	−0.258245	−	0.116610i
$386$	−12.4111	+	16.8032i	−0.631707	+	0.855261i
$387$	0.243600	+	1.53803i	0.0123829	+	0.0781826i
$388$	−11.7693	−	12.1450i	−0.597494	−	0.616569i
$389$	−7.78730	−	10.7183i	−0.394832	−	0.543439i	0.564606	−	0.825361i	$-0.309028\pi$
$389$	−7.78730	−	10.7183i	−0.394832	−	0.543439i	−0.959438	+	0.281921i	$0.909028\pi$
$390$	−12.5333	+	7.01857i	−0.634649	+	0.355399i
$391$	16.9964	−	23.3935i	0.859543	−	1.18306i
$392$	−1.78535	+	0.857306i	−0.0901737	+	0.0433005i
$393$	−10.6932	−	10.6932i	−0.539398	−	0.539398i
$394$	24.7974	−	17.7204i	1.24927	−	0.892742i
$395$	16.8572	+	11.0737i	0.848178	+	0.557180i
$396$	1.89367	−	0.582564i	0.0951603	−	0.0292749i
$397$	5.75681	+	11.2984i	0.288926	+	0.567049i	0.989156	−	0.146868i	$-0.0469193\pi$
$397$	5.75681	+	11.2984i	0.288926	+	0.567049i	−0.700230	+	0.713917i	$0.746919\pi$
$398$	2.26781	+	15.0843i	0.113675	+	0.756109i
$399$	−7.40076			−0.370501
$400$	−19.9606	+	1.25473i	−0.998030	+	0.0627366i
$401$	15.1445			0.756281			0.378141	−	0.925748i	$-0.376564\pi$
$401$	15.1445			0.756281			0.378141	+	0.925748i	$0.376564\pi$
$402$	−1.23442	−	8.21073i	−0.0615673	−	0.409514i
$403$	−13.9071	−	27.2942i	−0.692762	−	1.35962i
$404$	11.8892	−	3.65757i	0.591510	−	0.181971i
$405$	2.23359	−	0.105277i	0.110988	−	0.00523126i
$406$	−1.87325	+	1.33864i	−0.0929676	+	0.0664355i
$407$	2.95084	+	2.95084i	0.146268	+	0.146268i
$408$	−9.21902	+	4.42688i	−0.456409	+	0.219163i
$409$	−15.2785	+	21.0290i	−0.755471	+	1.03982i	0.242106	+	0.970250i	$0.422162\pi$
$409$	−15.2785	+	21.0290i	−0.755471	+	1.03982i	−0.997577	+	0.0695670i	$0.977838\pi$
$410$	−27.2930	−	25.2307i	−1.34791	−	1.24606i
$411$	−4.79150	−	6.59493i	−0.236347	−	0.325304i
$412$	−21.1009	−	21.7745i	−1.03957	−	1.07275i
$413$	−2.87000	−	18.1205i	−0.141223	−	0.891650i
$414$	6.71944	−	9.09737i	0.330242	−	0.447111i
$415$	−5.29565	+	5.81955i	−0.259953	+	0.285671i
$416$	15.9085	−	20.1797i	0.779981	−	0.989391i
$417$	−1.89168	−	0.963860i	−0.0926361	−	0.0472004i
$418$	−3.66575	−	1.90421i	−0.179298	−	0.0931380i
$419$	7.45434	+	22.9421i	0.364168	+	1.12079i	0.950500	+	0.310724i	$0.100571\pi$
$419$	7.45434	+	22.9421i	0.364168	+	1.12079i	−0.586332	+	0.810071i	$0.699429\pi$
$420$	10.7790	+	3.13190i	0.525961	+	0.152821i
$421$	−5.40899	+	16.6472i	−0.263618	+	0.811334i	0.728390	+	0.685162i	$0.240269\pi$
$421$	−5.40899	+	16.6472i	−0.263618	+	0.811334i	−0.992009	+	0.126171i	$0.959731\pi$
$422$	−22.7748	+	22.4198i	−1.10866	+	1.09138i
$423$	−1.48178	+	9.35560i	−0.0720466	+	0.454885i
$424$	13.5977	+	10.3775i	0.660361	+	0.503975i
$425$	9.68624	+	15.2648i	0.469851	+	0.740450i
$426$	−16.8942	+	5.34293i	−0.818528	+	0.258866i
$427$	3.07004	+	0.486247i	0.148570	+	0.0235311i
$428$	30.3398	+	16.0642i	1.46653	+	0.776491i
$429$	4.27968	+	1.39055i	0.206625	+	0.0671366i
$430$	−3.86722	+	3.04851i	−0.186494	+	0.147012i
$431$	−34.6020	+	11.2429i	−1.66672	+	0.541550i	−0.982264	−	0.187505i	$-0.939960\pi$
$431$	−34.6020	+	11.2429i	−1.66672	+	0.541550i	−0.684455	+	0.729055i	$0.739960\pi$
$432$	−3.61931	+	1.70310i	−0.174134	+	0.0819406i
$433$	−16.2768	+	31.9450i	−0.782213	+	1.53518i	0.0613291	+	0.998118i	$0.480466\pi$
$433$	−16.2768	+	31.9450i	−0.782213	+	1.53518i	−0.843542	+	0.537062i	$0.819534\pi$
$434$	−7.57556	+	22.7067i	−0.363638	+	1.08996i
$435$	−1.44163	−	0.159194i	−0.0691209	−	0.00763278i
$436$	−10.7762	+	31.4744i	−0.516085	+	1.50735i
$437$	−23.2903	+	3.68883i	−1.11413	+	0.176460i
$438$	10.7263	−	5.35962i	0.512523	−	0.256092i
$439$	−13.0760	+	9.50025i	−0.624082	+	0.453422i	−0.854345	−	0.519706i	$-0.826041\pi$
$439$	−13.0760	+	9.50025i	−0.624082	+	0.453422i	0.230263	+	0.973128i	$0.426041\pi$
$440$	4.53323	+	4.32473i	0.216113	+	0.206173i
$441$	0.566488	+	0.411578i	0.0269756	+	0.0195989i
$442$	−22.9125	−	3.81371i	−1.08984	−	0.181399i
$443$	−3.16889	+	3.16889i	−0.150559	+	0.150559i	−0.778367	−	0.627809i	$-0.783952\pi$
$443$	−3.16889	+	3.16889i	−0.150559	+	0.150559i	0.627809	+	0.778367i	$0.283952\pi$
$444$	−6.73752	−	5.05869i	−0.319748	−	0.240075i
$445$	−11.7207	+	4.42855i	−0.555615	+	0.209934i
$446$	−0.482102	−	0.00378696i	−0.0228282	−	0.000179318i
$447$	5.97258	−	3.04318i	0.282493	−	0.143938i
$448$	−19.9582	+	2.20330i	−0.942938	+	0.104096i
$449$		−	32.0207i		−	1.51115i	−0.655062	−	0.755575i	$-0.727358\pi$
$449$		−	32.0207i		−	1.51115i	0.655062	−	0.755575i	$-0.272642\pi$
$450$	3.74155	+	6.00006i	0.176379	+	0.282846i
$451$			11.6435i			0.548272i
$452$	7.37243	+	15.0491i	0.346770	+	0.707849i
$453$	−3.26907	+	1.66567i	−0.153594	+	0.0782602i
$454$	0.168594	−	21.4630i	0.00791251	−	1.00731i
$455$	15.9397	+	19.8970i	0.747263	+	0.932784i
$456$	7.86874	+	2.76333i	0.368488	+	0.129405i
$457$	16.1908	−	16.1908i	0.757374	−	0.757374i	−0.218469	−	0.975844i	$-0.570106\pi$
$457$	16.1908	−	16.1908i	0.757374	−	0.757374i	0.975844	+	0.218469i	$0.0701064\pi$
$458$	−4.35100	+	26.1405i	−0.203309	+	1.22146i
$459$	2.92518	+	2.12527i	0.136536	+	0.0991990i
$460$	35.4828	+	4.48349i	1.65439	+	0.209044i
$461$	−9.97154	+	7.24475i	−0.464421	+	0.337421i	−0.795263	−	0.606265i	$-0.792667\pi$
$461$	−9.97154	+	7.24475i	−0.464421	+	0.337421i	0.330842	+	0.943686i	$0.392667\pi$
$462$	−1.57171	−	3.14550i	−0.0731226	−	0.146342i
$463$	−32.1267	+	5.08837i	−1.49306	+	0.236477i	−0.848955	−	0.528464i	$-0.822768\pi$
$463$	−32.1267	+	5.08837i	−1.49306	+	0.236477i	−0.644100	+	0.764941i	$0.722768\pi$
$464$	2.49153	−	0.723845i	0.115666	−	0.0336037i
$465$	−13.0985	+	7.47080i	−0.607427	+	0.346450i
$466$	25.9689	+	8.66391i	1.20299	+	0.401348i
$467$	0.752525	−	1.47691i	0.0348227	−	0.0683434i	−0.872940	−	0.487828i	$-0.837789\pi$
$467$	0.752525	−	1.47691i	0.0348227	−	0.0683434i	0.907762	+	0.419485i	$0.137789\pi$
$468$	−8.94974	−	1.56200i	−0.413702	−	0.0722034i
$469$	−14.0149	+	4.55371i	−0.647147	+	0.210271i
$470$	−28.1026	+	10.3668i	−1.29628	+	0.478184i
$471$	16.7233	+	5.43373i	0.770570	+	0.250373i
$472$	−3.71443	+	20.3379i	−0.170970	+	0.936129i
$473$	1.52361	+	0.241317i	0.0700558	+	0.0110957i
$474$	3.84643	+	12.1623i	0.176672	+	0.558634i
$475$	3.21679	−	14.3877i	0.147596	−	0.660153i
$476$	10.4366	+	14.8498i	0.478360	+	0.680640i
$477$	0.946054	−	5.97315i	0.0433168	−	0.273492i
$478$	−0.795811	−	0.808412i	−0.0363995	−	0.0369759i
$479$	−0.416357	+	1.28141i	−0.0190238	+	0.0585493i	−0.960118	−	0.279596i	$-0.909800\pi$
$479$	−0.416357	+	1.28141i	−0.0190238	+	0.0585493i	0.941094	+	0.338145i	$0.109800\pi$
$480$	−10.2912	−	7.35467i	−0.469727	−	0.335693i
$481$	−5.91331	−	18.1993i	−0.269624	−	0.829816i
$482$	8.27448	−	15.9290i	0.376892	−	0.725547i
$483$	−17.8849	−	9.11280i	−0.813790	−	0.414647i
$484$	−0.314771	+	20.0349i	−0.0143078	+	0.910675i
$485$	−18.5155	+	3.83388i	−0.840744	+	0.174088i
$486$	1.13756	+	0.840215i	0.0516007	+	0.0381129i
$487$	5.18153	+	32.7149i	0.234798	+	1.48245i	0.770171	+	0.637838i	$0.220171\pi$
$487$	5.18153	+	32.7149i	0.234798	+	1.48245i	−0.535373	+	0.844616i	$0.679829\pi$
$488$	−3.08262	−	1.66330i	−0.139544	−	0.0752941i
$489$	−5.41124	−	7.44793i	−0.244705	−	0.336807i
$490$	−0.260318	+	2.19893i	−0.0117600	+	0.0993374i
$491$	−1.80230	+	2.48065i	−0.0813366	+	0.111950i	−0.847747	−	0.530402i	$-0.822041\pi$
$491$	−1.80230	+	2.48065i	−0.0813366	+	0.111950i	0.766410	+	0.642352i	$0.222041\pi$
$492$	−3.31218	−	23.2729i	−0.149325	−	1.04922i
$493$	−1.65837	−	1.65837i	−0.0746892	−	0.0746892i
$494$	11.0131	+	15.4113i	0.495502	+	0.693389i
$495$	0.584560	−	2.13658i	0.0262740	−	0.0960321i
$496$	16.5329	−	21.3140i	0.742351	−	0.957026i
$497$	14.2769	+	28.0199i	0.640405	+	1.25687i
$498$	−4.92109	+	0.739847i	−0.220519	+	0.0331533i
$499$	−38.2306			−1.71144			−0.855718	−	0.517443i	$-0.826884\pi$
$499$	−38.2306			−1.71144			−0.855718	+	0.517443i	$0.826884\pi$
$500$	−10.7739	+	19.5940i	−0.481821	+	0.876269i
$501$	17.0378			0.761191
$502$	−7.07277	+	1.06334i	−0.315673	+	0.0474590i
$503$	−14.4347	−	28.3298i	−0.643613	−	1.26316i	−0.950295	−	0.311350i	$-0.899219\pi$
$503$	−14.4347	−	28.3298i	−0.643613	−	1.26316i	0.306682	−	0.951812i	$-0.400781\pi$
$504$	4.03630	+	5.84008i	0.179791	+	0.260138i
$505$	3.67010	−	13.4143i	0.163317	−	0.596929i
$506$	−6.51404	−	9.11554i	−0.289585	−	0.405235i
$507$	−5.39836	−	5.39836i	−0.239750	−	0.239750i
$508$	32.8834	−	4.67994i	1.45897	−	0.207639i
$509$	0.131687	−	0.181251i	0.00583691	−	0.00803381i	−0.806089	−	0.591795i	$-0.798420\pi$
$509$	0.131687	−	0.181251i	0.00583691	−	0.00803381i	0.811925	+	0.583761i	$0.198420\pi$
$510$	−1.34421	+	11.3546i	−0.0595226	+	0.502791i
$511$	−12.5088	−	17.2168i	−0.553355	−	0.761628i
$512$	22.0430	+	5.10949i	0.974171	+	0.225810i
$513$	−0.461260	−	2.91228i	−0.0203651	−	0.128580i
$514$	−8.99764	−	6.64577i	−0.396869	−	0.293133i
$515$	−33.1960	+	6.87369i	−1.46279	+	0.302891i
$516$	−3.11402	−	0.0489249i	−0.137087	−	0.00215380i
$517$	8.36068	+	4.25998i	0.367702	+	0.187354i
$518$	−6.89298	+	13.2695i	−0.302860	+	0.583029i
$519$	−4.62833	−	14.2445i	−0.203161	−	0.625265i
$520$	−9.51837	−	27.1068i	−0.417408	−	1.18871i
$521$	−2.36876	+	7.29029i	−0.103777	+	0.319393i	−0.989441	−	0.144933i	$-0.953703\pi$
$521$	−2.36876	+	7.29029i	−0.103777	+	0.319393i	0.885664	+	0.464326i	$0.153703\pi$
$522$	−0.643521	−	0.653711i	−0.0281662	−	0.0286122i
$523$	2.40963	−	15.2138i	0.105366	−	0.665253i	−0.877311	−	0.479923i	$-0.840665\pi$
$523$	2.40963	−	15.2138i	0.105366	−	0.665253i	0.982676	−	0.185330i	$-0.0593353\pi$
$524$	24.7448	−	17.3909i	1.08098	−	0.759724i
$525$	9.41407	−	8.29878i	0.410864	−	0.362189i
$526$	−2.27321	−	7.18784i	−0.0991166	−	0.313405i
$527$	−24.0829	−	3.81435i	−1.04907	−	0.166156i
$528$	0.496618	+	3.93125i	0.0216125	+	0.171086i
$529$	−38.9519	−	12.6563i	−1.69356	−	0.550272i
$530$	17.9423	−	6.61875i	0.779366	−	0.287500i
$531$	6.95173	−	2.25875i	0.301679	−	0.0980216i
$532$	2.54484	−	14.5811i	0.110333	−	0.632171i
$533$	24.2392	−	47.5721i	1.04992	−	2.06058i
$534$	−7.51701	−	2.50787i	−0.325293	−	0.108526i
$535$	33.3406	−	19.0160i	1.44144	−	0.822134i
$536$	16.6014	+	0.391281i	0.717071	+	0.0169008i
$537$	−0.909662	+	0.144076i	−0.0392548	+	0.00621735i
$538$	9.64671	+	19.3061i	0.415899	+	0.832347i
$539$	0.561177	−	0.407719i	0.0241716	−	0.0175617i
$540$	−0.560627	+	4.43686i	−0.0241256	+	0.190932i
$541$	−0.252310	−	0.183314i	−0.0108476	−	0.00788127i	0.582348	−	0.812939i	$-0.302134\pi$
$541$	−0.252310	−	0.183314i	−0.0108476	−	0.00788127i	−0.593196	+	0.805058i	$0.702134\pi$
$542$	−3.86709	+	23.2332i	−0.166106	+	0.997953i
$543$	8.12480	−	8.12480i	0.348668	−	0.348668i
$544$	−5.55184	−	19.6857i	−0.238033	−	0.844018i
$545$	23.2551	+	29.0286i	0.996138	+	1.24345i
$546$	−0.126652	+	16.1235i	−0.00542020	+	0.690024i
$547$	34.1386	−	17.3945i	1.45966	−	0.743735i	0.469405	−	0.882983i	$-0.344468\pi$
$547$	34.1386	−	17.3945i	1.45966	−	0.743735i	0.990258	+	0.139248i	$0.0444684\pi$
$548$	14.6411	−	7.17255i	0.625436	−	0.306396i
$549$			1.23840i			0.0528537i
$550$	6.79826	−	1.68833i	0.289879	−	0.0719905i
$551$			1.91256i			0.0814777i
$552$	15.6132	+	16.3670i	0.664544	+	0.696626i
$553$	20.1718	−	10.2781i	0.857794	−	0.437068i
$554$	−20.5144	−	0.161143i	−0.871575	−	0.00684630i
$555$	−8.81168	+	3.32940i	−0.374035	+	0.141325i
$556$	2.54949	−	3.39559i	0.108123	−	0.144005i
$557$	10.7978	−	10.7978i	0.457518	−	0.457518i	−0.440322	−	0.897840i	$-0.645136\pi$
$557$	10.7978	−	10.7978i	0.457518	−	0.457518i	0.897840	+	0.440322i	$0.145136\pi$
$558$	−9.40750	−	1.56585i	−0.398251	−	0.0662876i
$559$	−5.72268	−	4.15777i	−0.242044	−	0.175855i
$560$	−9.87702	+	20.1600i	−0.417380	+	0.851917i
$561$	2.89776	−	2.10534i	0.122343	−	0.0888876i
$562$	−2.14440	+	1.07149i	−0.0904559	+	0.0451982i
$563$	19.0254	−	3.01333i	0.801826	−	0.126997i	0.257946	−	0.966159i	$-0.416954\pi$
$563$	19.0254	−	3.01333i	0.801826	−	0.126997i	0.543881	+	0.839163i	$0.316954\pi$
$564$	−17.9230	−	6.13646i	−0.754696	−	0.258392i
$565$	18.6227	+	2.05644i	0.783464	+	0.0865151i
$566$	−0.952112	+	2.85383i	−0.0400203	+	0.119955i
$567$	1.13949	−	2.23637i	0.0478540	−	0.0939187i
$568$	−4.71745	−	35.1225i	−0.197940	−	1.47371i
$569$	15.7909	−	5.13076i	0.661987	−	0.215093i	0.0412948	−	0.999147i	$-0.486852\pi$
$569$	15.7909	−	5.13076i	0.661987	−	0.215093i	0.620692	+	0.784054i	$0.286852\pi$
$570$	7.32263	−	5.77239i	0.306711	−	0.241779i
$571$	−18.7027	−	6.07687i	−0.782683	−	0.254309i	−0.109698	−	0.993965i	$-0.534988\pi$
$571$	−18.7027	−	6.07687i	−0.782683	−	0.254309i	−0.672985	+	0.739656i	$0.734988\pi$
$572$	−4.21131	+	7.95375i	−0.176084	+	0.332563i
$573$	20.9143	+	3.31250i	0.873708	+	0.138382i
$574$	−39.7789	+	12.5804i	−1.66034	+	0.525095i
$575$	25.4898	−	30.8088i	1.06300	−	1.28481i
$576$	−2.11094	−	7.71647i	−0.0879559	−	0.321520i
$577$	1.60647	−	10.1429i	0.0668783	−	0.422253i	−0.931420	−	0.363945i	$-0.881430\pi$
$577$	1.60647	−	10.1429i	0.0668783	−	0.422253i	0.998299	−	0.0583078i	$-0.0185705\pi$
$578$	3.95728	−	3.89559i	0.164601	−	0.162035i
$579$	−4.56458	+	14.0483i	−0.189698	+	0.583829i
$580$	0.809370	−	2.78559i	0.0336072	−	0.115665i
$581$	2.72926	+	8.39979i	0.113229	+	0.348482i
$582$	−10.6122	−	5.51262i	−0.439891	−	0.228506i
$583$	−5.33794	−	2.71982i	−0.221075	−	0.112643i
$584$	6.87125	+	22.9761i	0.284334	+	0.950759i
$585$	−6.83623	+	7.51253i	−0.282643	+	0.310605i
$586$	−14.8676	+	20.1290i	−0.614174	+	0.831523i
$587$	0.441412	+	2.78696i	0.0182190	+	0.115030i	0.995122	−	0.0986539i	$-0.0314537\pi$
$587$	0.441412	+	2.78696i	0.0182190	+	0.115030i	−0.976903	+	0.213684i	$0.931454\pi$
$588$	−1.00569	+	0.974579i	−0.0414740	+	0.0401910i
$589$	11.6876	+	16.0866i	0.481579	+	0.662837i
$590$	16.9732	+	15.6907i	0.698775	+	0.645974i
$591$	12.6676	−	17.4354i	0.521075	−	0.717198i
$592$	12.2835	−	11.5349i	0.504849	−	0.474081i
$593$	−25.1359	−	25.1359i	−1.03221	−	1.03221i	−0.999464	−	0.0327451i	$-0.989575\pi$
$593$	−25.1359	−	25.1359i	−1.03221	−	1.03221i	−0.0327451	−	0.999464i	$-0.510425\pi$
$594$	1.13983	−	0.814532i	0.0467678	−	0.0334207i
$595$	20.2703	−	0.955414i	0.831003	−	0.0391682i
$596$	3.94199	+	12.8137i	0.161470	+	0.524870i
$597$	4.89679	+	9.61048i	0.200412	+	0.393331i
$598$	7.63803	+	50.8043i	0.312342	+	2.07754i
$599$	−37.4833			−1.53153			−0.765763	−	0.643123i	$-0.777638\pi$
$599$	−37.4833			−1.53153			−0.765763	+	0.643123i	$0.777638\pi$
$600$	−13.1080	+	5.30848i	−0.535132	+	0.216718i
$601$	6.04452			0.246561			0.123280	−	0.992372i	$-0.460659\pi$
$601$	6.04452			0.246561			0.123280	+	0.992372i	$0.460659\pi$
$602$	0.821771	+	5.46600i	0.0334929	+	0.222778i
$603$	−2.66543	−	5.23120i	−0.108545	−	0.213031i
$604$	−2.15763	−	7.01355i	−0.0877929	−	0.285377i
$605$	18.7238	+	12.2999i	0.761230	+	0.500062i
$606$	7.15631	−	5.11396i	0.290705	−	0.207741i
$607$	15.4953	+	15.4953i	0.628933	+	0.628933i	0.947800	−	0.318866i	$-0.103302\pi$
$607$	15.4953	+	15.4953i	0.628933	+	0.628933i	−0.318866	+	0.947800i	$0.603302\pi$
$608$	−8.15013	+	14.5529i	−0.330531	+	0.590200i
$609$	−0.956935	+	1.31711i	−0.0387770	+	0.0533719i
$610$	−3.41689	+	1.91343i	−0.138346	+	0.0774727i
$611$	−25.2910	−	34.8101i	−1.02317	−	1.40827i
$612$	−5.19310	+	5.03244i	−0.209919	+	0.203425i
$613$	−1.58245	−	9.99119i	−0.0639145	−	0.403540i	−0.998817	−	0.0486348i	$-0.984513\pi$
$613$	−1.58245	−	9.99119i	−0.0639145	−	0.403540i	0.934902	−	0.354906i	$-0.115487\pi$
$614$	22.4840	−	30.4408i	0.907379	−	1.22849i
$615$	−23.9533	−	10.8161i	−0.965892	−	0.436146i
$616$	6.73776	−	2.01500i	0.271472	−	0.0811866i
$617$	4.47285	+	2.27903i	0.180070	+	0.0917504i	0.541702	−	0.840571i	$-0.317780\pi$
$617$	4.47285	+	2.27903i	0.180070	+	0.0917504i	−0.361632	+	0.932321i	$0.617780\pi$
$618$	−19.0264	−	9.88347i	−0.765356	−	0.397571i
$619$	6.25004	+	19.2356i	0.251210	+	0.773146i	0.994553	+	0.104235i	$0.0332393\pi$
$619$	6.25004	+	19.2356i	0.251210	+	0.773146i	−0.743342	+	0.668911i	$0.766761\pi$
$620$	−10.2150	−	28.3758i	−0.410246	−	1.13960i
$621$	2.47130	−	7.60587i	0.0991697	−	0.305213i
$622$	−2.32812	+	2.29183i	−0.0933492	+	0.0918941i
$623$	−2.20010	+	13.8909i	−0.0881452	+	0.556527i
$624$	6.15495	−	17.0958i	0.246395	−	0.684381i
$625$	12.0416	+	21.9089i	0.481666	+	0.876355i
$626$	8.81702	−	2.78845i	0.352399	−	0.111449i
$627$	−2.88498	−	0.456936i	−0.115215	−	0.0182482i
$628$	−16.4562	+	31.0801i	−0.656672	+	1.24023i
$629$	−14.4862	−	4.70684i	−0.577601	−	0.187674i
$630$	7.93101	−	0.311403i	0.315979	−	0.0124066i
$631$	−29.5030	+	9.58611i	−1.17450	+	0.381617i	−0.830319	−	0.557288i	$-0.811842\pi$
$631$	−29.5030	+	9.58611i	−1.17450	+	0.381617i	−0.344177	+	0.938905i	$0.611842\pi$
$632$	−25.2851	+	3.39614i	−1.00579	+	0.135091i
$633$	−10.2593	+	20.1350i	−0.407770	+	0.800293i
$634$	8.92654	−	26.7561i	0.354518	−	1.06262i
$635$	15.2825	−	33.8448i	0.606469	−	1.34309i
$636$	11.4431	+	3.91787i	0.453748	+	0.155354i
$637$	−3.14159	+	0.497579i	−0.124474	+	0.0197148i
$638$	−0.812882	+	0.406173i	−0.0321823	+	0.0160805i
$639$	−10.1363	+	7.36448i	−0.400987	+	0.291334i
$640$	18.0291	−	17.7469i	0.712661	−	0.701509i
$641$	7.01361	+	5.09569i	0.277021	+	0.201267i	0.717617	−	0.696438i	$-0.245233\pi$
$641$	7.01361	+	5.09569i	0.277021	+	0.201267i	−0.440596	+	0.897705i	$0.645233\pi$
$642$	23.9457	+	3.98568i	0.945060	+	0.157302i
$643$	19.1482	−	19.1482i	0.755130	−	0.755130i	−0.220302	−	0.975432i	$-0.570704\pi$
$643$	19.1482	−	19.1482i	0.755130	−	0.755130i	0.975432	+	0.220302i	$0.0707043\pi$
$644$	24.1041	−	32.1036i	0.949836	−	1.26506i
$645$	−1.91178	+	2.91024i	−0.0752762	+	0.114591i
$646$	15.0768	+	0.118430i	0.593190	+	0.00465956i
$647$	40.2378	−	20.5022i	1.58191	−	0.806023i	0.581936	−	0.813235i	$-0.302295\pi$
$647$	40.2378	−	20.5022i	1.58191	−	0.806023i	0.999974	+	0.00721134i	$0.00229546\pi$
$648$	−2.04657	+	1.95232i	−0.0803969	+	0.0766944i
$649$		−	7.24095i		−	0.284232i
$650$	−31.2905	−	7.25443i	−1.22731	−	0.284542i
$651$			16.9261i			0.663385i
$652$	16.5348	−	8.10026i	0.647552	−	0.317231i
$653$	−15.4764	+	7.88563i	−0.605639	+	0.308588i	−0.729786	−	0.683675i	$-0.760380\pi$
$653$	−15.4764	+	7.88563i	−0.605639	+	0.308588i	0.124147	+	0.992264i	$0.460380\pi$
$654$	−0.184778	+	23.5234i	−0.00722540	+	0.919836i
$655$	−1.59204	−	33.7772i	−0.0622063	−	1.31979i
$656$	46.9917	+	1.47695i	1.83472	+	0.0576653i
$657$	5.99540	−	5.99540i	0.233903	−	0.233903i
$658$	−5.52039	+	33.1662i	−0.215207	+	1.29295i
$659$	−6.41486	−	4.66067i	−0.249888	−	0.181554i	0.455789	−	0.890088i	$-0.349357\pi$
$659$	−6.41486	−	4.66067i	−0.249888	−	0.181554i	−0.705677	+	0.708534i	$0.749357\pi$
$660$	4.00852	+	1.88640i	0.156031	+	0.0734280i
$661$	37.5286	−	27.2661i	1.45969	−	1.06053i	0.476248	−	0.879311i	$-0.341996\pi$
$661$	37.5286	−	27.2661i	1.45969	−	1.06053i	0.983443	−	0.181217i	$-0.0580037\pi$
$662$	−19.6126	−	39.2511i	−0.762266	−	1.52554i
$663$	−16.2223	+	2.56935i	−0.630020	+	0.0997854i
$664$	0.234513	−	9.95002i	0.00910089	−	0.386136i
$665$	−12.2396	−	11.1377i	−0.474630	−	0.431902i
$666$	−5.65132	−	1.88543i	−0.218984	−	0.0730589i
$667$	−2.35500	+	4.62194i	−0.0911858	+	0.178962i
$668$	−5.85863	+	33.5681i	−0.226677	+	1.29879i
$669$	−0.324223	+	0.105346i	−0.0125352	+	0.00407293i
$670$	10.3152	−	15.4369i	0.398510	−	0.596378i
$671$	1.16675	+	0.379099i	0.0450418	+	0.0146350i
$672$	−12.8942	+	5.94421i	−0.497403	+	0.229303i
$673$	21.4521	+	3.39769i	0.826919	+	0.130971i	0.555528	−	0.831498i	$-0.312516\pi$
$673$	21.4521	+	3.39769i	0.826919	+	0.130971i	0.271391	+	0.962469i	$0.412516\pi$
$674$	−8.50530	−	26.8936i	−0.327612	−	1.03590i
$675$	3.85241	+	3.18731i	0.148279	+	0.122680i
$676$	12.4922	−	8.77965i	0.480471	−	0.337679i
$677$	0.733481	−	4.63102i	0.0281900	−	0.177984i	−0.969576	−	0.244790i	$-0.921281\pi$
$677$	0.733481	−	4.63102i	0.0281900	−	0.177984i	0.997766	+	0.0668060i	$0.0212808\pi$
$678$	8.31288	+	8.44451i	0.319254	+	0.324310i
$679$	−6.55860	+	20.1853i	−0.251696	+	0.774640i
$680$	−21.9089	−	6.55281i	−0.840167	−	0.251289i
$681$	−4.68999	−	14.4343i	−0.179721	−	0.553123i
$682$	−4.35507	+	8.38385i	−0.166764	+	0.321034i
$683$	26.7626	+	13.6362i	1.02404	+	0.521775i	0.883565	−	0.468309i	$-0.155137\pi$
$683$	26.7626	+	13.6362i	1.02404	+	0.521775i	0.140476	+	0.990084i	$0.455137\pi$
$684$	5.89644	+	0.0926398i	0.225456	+	0.00354217i
$685$	2.00069	−	18.1178i	0.0764423	−	0.692246i
$686$	21.9857	+	16.2389i	0.839416	+	0.620004i
$687$	2.93133	+	18.5077i	0.111837	+	0.706113i
$688$	1.16719	−	6.11848i	0.0444986	−	0.233265i
$689$	16.1472	+	22.2248i	0.615161	+	0.846697i
$690$	24.8038	−	4.93311i	0.944265	−	0.187800i
$691$	3.45831	−	4.75996i	0.131560	−	0.181077i	−0.738155	−	0.674632i	$-0.764303\pi$
$691$	3.45831	−	4.75996i	0.131560	−	0.181077i	0.869715	+	0.493554i	$0.164303\pi$
$692$	29.6563	−	4.22066i	1.12736	−	0.160445i
$693$	−1.75815	−	1.75815i	−0.0667867	−	0.0667867i
$694$	2.99515	+	4.19131i	0.113694	+	0.159100i
$695$	−1.67796	−	4.44093i	−0.0636487	−	0.168454i
$696$	1.50924	−	1.04309i	0.0572074	−	0.0395383i
$697$	−19.2938	−	37.8662i	−0.730804	−	1.43428i
$698$	−34.2386	+	5.14752i	−1.29595	+	0.194836i
$699$	19.3578			0.732179
$700$	13.1133	+	21.4014i	0.495635	+	0.808897i
$701$	−32.3819			−1.22305			−0.611524	−	0.791226i	$-0.709443\pi$
$701$	−32.3819			−1.22305			−0.611524	+	0.791226i	$0.709443\pi$
$702$	−6.35269	+	0.955078i	−0.239767	+	0.0360471i
$703$	5.63913	+	11.0674i	0.212684	+	0.417415i
$704$	−7.91620	−	0.373364i	−0.298353	−	0.0140717i
$705$	−16.5302	+	13.2425i	−0.622565	+	0.498743i
$706$	13.6058	+	19.0395i	0.512062	+	0.716563i
$707$	−11.0384	−	11.0384i	−0.415142	−	0.415142i
$708$	2.05980	+	14.4731i	0.0774121	+	0.543933i
$709$	16.8589	−	23.2043i	0.633149	−	0.871454i	−0.365078	−	0.930977i	$-0.618958\pi$
$709$	16.8589	−	23.2043i	0.633149	−	0.871454i	0.998227	+	0.0595224i	$0.0189578\pi$
$710$	−35.9809	−	16.5886i	−1.35034	−	0.622558i
$711$	5.30176	+	7.29725i	0.198832	+	0.273668i
$712$	7.52587	−	13.9478i	0.282044	−	0.522716i
$713$	8.43662	+	53.2667i	0.315954	+	1.99485i
$714$	10.3236	+	7.62515i	0.386351	+	0.285364i
$715$	4.98515	+	8.74042i	0.186434	+	0.326873i
$716$	0.0289364	−	1.84177i	0.00108140	−	0.0688303i
$717$	−0.714708	−	0.364162i	−0.0266913	−	0.0135999i
$718$	−4.85667	+	9.34947i	−0.181249	+	0.348919i
$719$	3.24857	+	9.99806i	0.121151	+	0.372865i	0.993180	−	0.116589i	$-0.0371961\pi$
$719$	3.24857	+	9.99806i	0.121151	+	0.372865i	−0.872029	+	0.489454i	$0.837196\pi$
$720$	−8.54880	−	2.63022i	−0.318595	−	0.0980227i
$721$	−11.7588	+	36.1898i	−0.437920	+	1.34778i
$722$	10.2246	+	10.3865i	0.380520	+	0.386545i
$723$	1.98555	−	12.5363i	0.0738434	−	0.466229i
$724$	13.2138	+	18.8014i	0.491087	+	0.698749i
$725$	−2.14463	−	2.43285i	−0.0796496	−	0.0903539i
$726$	4.27234	+	13.5090i	0.158561	+	0.501368i
$727$	19.0292	+	3.01393i	0.705755	+	0.111781i	0.498987	−	0.866609i	$-0.333706\pi$
$727$	19.0292	+	3.01393i	0.705755	+	0.111781i	0.206768	+	0.978390i	$0.433706\pi$
$728$	−31.7234	−	5.79381i	−1.17575	−	0.214733i
$729$	0.951057	+	0.309017i	0.0352243	+	0.0114451i
$730$	25.8054	+	7.27860i	0.955100	+	0.269393i
$731$	−5.35484	+	1.73989i	−0.198056	+	0.0643523i
$732$	−2.43992	−	0.425839i	−0.0901821	−	0.0157395i
$733$	−16.7661	+	32.9054i	−0.619271	+	1.21539i	0.341979	+	0.939708i	$0.388903\pi$
$733$	−16.7661	+	32.9054i	−0.619271	+	1.21539i	−0.961250	+	0.275680i	$0.911097\pi$
$734$	−36.4571	−	12.1631i	−1.34566	−	0.448946i
$735$	0.317473	+	1.53321i	0.0117102	+	0.0565533i
$736$	−37.6153	+	25.1335i	−1.38652	+	0.926434i
$737$	−5.74446	+	0.909833i	−0.211600	+	0.0335141i
$738$	−7.42979	−	14.8694i	−0.273494	−	0.547349i
$739$	−0.146989	+	0.106794i	−0.00540707	+	0.00392846i	−0.590486	−	0.807048i	$-0.701064\pi$
$739$	−0.146989	+	0.106794i	−0.00540707	+	0.00392846i	0.585078	+	0.810977i	$0.301064\pi$
$740$	−3.52965	−	18.5058i	−0.129752	−	0.680286i
$741$	10.8360	+	7.87278i	0.398069	+	0.289214i
$742$	3.52454	−	21.1752i	0.129390	−	0.777366i
$743$	−14.3370	+	14.3370i	−0.525973	+	0.525973i	−0.919369	−	0.393396i	$-0.871300\pi$
$743$	−14.3370	+	14.3370i	−0.525973	+	0.525973i	0.393396	+	0.919369i	$0.371300\pi$
$744$	6.31994	−	17.9964i	0.231700	−	0.659780i
$745$	14.4574	+	3.95550i	0.529679	+	0.144918i
$746$	−0.0118080	+	1.50323i	−0.000432322	+	0.0550372i
$747$	−3.13531	+	1.59752i	−0.114715	+	0.0584502i
$748$	3.15156	+	6.43316i	0.115232	+	0.235220i
$749$		−	43.0833i		−	1.57423i
$750$	−2.84187	+	15.5539i	−0.103771	+	0.567948i
$751$		−	12.5620i		−	0.458394i	−0.973380	−	0.229197i	$-0.926390\pi$
$751$		−	12.5620i		−	0.458394i	0.973380	−	0.229197i	$-0.0736101\pi$
$752$	18.2532	−	33.2022i	0.665626	−	1.21076i
$753$	−4.50618	+	2.29601i	−0.164214	+	0.0836714i
$754$	4.16677	+	0.0327303i	0.151745	+	0.00119197i
$755$	−7.91323	−	2.16503i	−0.287992	−	0.0787934i
$756$	4.01431	+	3.01404i	0.145999	+	0.109620i
$757$	−30.6304	+	30.6304i	−1.11328	+	1.11328i	−0.120579	+	0.992704i	$0.538475\pi$
$757$	−30.6304	+	30.6304i	−1.11328	+	1.11328i	−0.992704	+	0.120579i	$0.961525\pi$
$758$	26.6974	+	4.44369i	0.969693	+	0.161402i
$759$	−6.40928	−	4.65661i	−0.232642	−	0.169024i
$760$	8.85489	+	16.4121i	0.321201	+	0.595329i
$761$	−26.3840	+	19.1691i	−0.956420	+	0.694880i	−0.952317	−	0.305112i	$-0.901306\pi$
$761$	−26.3840	+	19.1691i	−0.956420	+	0.694880i	−0.00410353	+	0.999992i	$0.501306\pi$
$762$	21.0096	−	10.4979i	0.761099	−	0.380299i
$763$	41.2364	−	6.53120i	1.49286	−	0.236445i
$764$	−13.7180	+	40.0667i	−0.496300	+	1.44956i
$765$	1.63934	+	7.91706i	0.0592703	+	0.286242i
$766$	−9.20856	+	27.6014i	−0.332719	+	0.997280i
$767$	−15.0740	+	29.5845i	−0.544292	+	1.06823i
$768$	15.9290	−	1.50561i	0.574788	−	0.0543291i
$769$	12.4755	−	4.05354i	0.449879	−	0.146175i	−0.0753100	−	0.997160i	$-0.523995\pi$
$769$	12.4755	−	4.05354i	0.449879	−	0.146175i	0.525189	+	0.850986i	$0.323995\pi$
$770$	2.13445	−	7.56744i	0.0769203	−	0.272712i
$771$	−7.52249	−	2.44420i	−0.270916	−	0.0880259i
$772$	−26.1087	−	13.8239i	−0.939673	−	0.497533i
$773$	−45.2454	−	7.16616i	−1.62736	−	0.257749i	−0.725007	−	0.688742i	$-0.758163\pi$
$773$	−45.2454	−	7.16616i	−1.62736	−	0.257749i	−0.902355	+	0.430993i	$0.858163\pi$
$774$	−2.09972	+	0.664051i	−0.0754727	+	0.0238688i
$775$	−32.9057	−	7.35704i	−1.18201	−	0.264273i
$776$	14.5102	−	19.0128i	0.520886	−	0.682521i
$777$	−1.65404	+	10.4432i	−0.0593385	+	0.374648i
$778$	13.3522	−	13.1441i	0.478700	−	0.471238i
$779$	−10.7095	+	32.9606i	−0.383709	+	1.18094i
$780$	−12.4506	−	16.0521i	−0.445803	−	0.574758i
$781$	3.83544	+	11.8043i	0.137243	+	0.422390i
$782$	36.2893	+	18.8508i	1.29770	+	0.674104i
$783$	−0.577939	−	0.294475i	−0.0206539	−	0.0105237i
$784$	−1.57431	−	2.31655i	−0.0562255	−	0.0827340i
$785$	19.4800	+	34.1541i	0.695272	+	1.21901i
$786$	12.7061	−	17.2026i	0.453211	−	0.613597i
$787$	1.69779	+	10.7194i	0.0605197	+	0.382107i	0.999294	+	0.0375734i	$0.0119628\pi$
$787$	1.69779	+	10.7194i	0.0605197	+	0.382107i	−0.938774	+	0.344533i	$0.888037\pi$
$788$	29.9957	+	30.9533i	1.06855	+	1.10266i
$789$	−3.13330	−	4.31262i	−0.111548	−	0.153533i
$790$	−11.9423	+	25.9030i	−0.424887	+	0.921589i
$791$	12.3615	−	17.0142i	0.439525	−	0.604954i
$792$	1.21286	+	2.52580i	0.0430972	+	0.0897504i
$793$	−3.97780	−	3.97780i	−0.141256	−	0.141256i
$794$	−14.5904	+	10.4264i	−0.517792	+	0.370019i
$795$	10.5539	−	8.45480i	0.374307	−	0.299861i
$796$	−20.6186	+	6.34306i	−0.730806	+	0.224824i
$797$	13.5415	+	26.5768i	0.479666	+	0.941397i	0.996361	+	0.0852282i	$0.0271619\pi$
$797$	13.5415	+	26.5768i	0.479666	+	0.941397i	−0.516696	+	0.856169i	$0.672838\pi$
$798$	−1.55603	−	10.3499i	−0.0550830	−	0.366384i
$799$	−34.2489			−1.21164
$800$	−5.95152	−	27.6510i	−0.210418	−	0.977612i
$801$	−5.60334			−0.197984
$802$	3.18418	+	21.1796i	0.112437	+	0.747876i
$803$	−3.81319	−	7.48381i	−0.134565	−	0.264098i
$804$	11.2231	−	3.45267i	0.395810	−	0.121766i
$805$	−15.8643	−	41.9867i	−0.559142	−	1.47984i
$806$	35.2469	−	25.1877i	1.24152	−	0.887200i
$807$	10.7910	+	10.7910i	0.379862	+	0.379862i
$808$	7.61484	+	15.8580i	0.267889	+	0.557882i
$809$	4.38125	−	6.03028i	0.154037	−	0.212013i	−0.725023	−	0.688724i	$-0.758171\pi$
$809$	4.38125	−	6.03028i	0.154037	−	0.212013i	0.879060	+	0.476711i	$0.158171\pi$
$810$	0.616849	+	3.10153i	0.0216739	+	0.108977i
$811$	−0.930193	−	1.28030i	−0.0326635	−	0.0449575i	0.792373	−	0.610037i	$-0.208845\pi$
$811$	−0.930193	−	1.28030i	−0.0326635	−	0.0449575i	−0.825036	+	0.565080i	$0.808845\pi$
$812$	−2.26594	−	2.33828i	−0.0795188	−	0.0820574i
$813$	2.60532	+	16.4493i	0.0913726	+	0.576904i
$814$	−3.50632	+	4.74717i	−0.122896	+	0.166388i
$815$	2.25946	−	20.4612i	0.0791454	−	0.716725i
$816$	−8.12930	−	11.9620i	−0.284583	−	0.418754i
$817$	4.09110	+	2.08452i	0.143129	+	0.0729281i
$818$	−32.6213	−	16.9455i	−1.14058	−	0.592484i
$819$	3.52323	+	10.8434i	0.123112	+	0.378899i
$820$	29.5467	−	43.4741i	1.03181	−	1.51818i
$821$	9.93549	−	30.5783i	0.346751	−	1.06719i	−0.613888	−	0.789393i	$-0.710396\pi$
$821$	9.93549	−	30.5783i	0.346751	−	1.06719i	0.960640	−	0.277798i	$-0.0896044\pi$
$822$	8.21556	−	8.08750i	0.286551	−	0.282084i
$823$	−4.78704	+	30.2242i	−0.166866	+	1.05355i	0.752053	+	0.659103i	$0.229064\pi$
$823$	−4.78704	+	30.2242i	−0.166866	+	1.05355i	−0.918919	+	0.394447i	$0.870936\pi$
$824$	26.0151	−	34.0877i	0.906277	−	1.18750i
$825$	4.18219	−	2.65381i	0.145605	−	0.0923937i
$826$	24.7380	−	7.82357i	0.860745	−	0.272217i
$827$	50.7210	+	8.03342i	1.76374	+	0.279349i	0.952318	−	0.305107i	$-0.0986923\pi$
$827$	50.7210	+	8.03342i	1.76374	+	0.279349i	0.811425	+	0.584457i	$0.198692\pi$
$828$	14.1354	+	7.48436i	0.491240	+	0.260099i
$829$	−25.8242	−	8.39079i	−0.896912	−	0.291424i	−0.175950	−	0.984399i	$-0.556300\pi$
$829$	−25.8242	−	8.39079i	−0.896912	−	0.291424i	−0.720962	+	0.692975i	$0.756300\pi$
$830$	−9.25205	−	6.18237i	−0.321144	−	0.214593i
$831$	−13.7964	+	4.48271i	−0.478590	+	0.155503i
$832$	31.5661	+	18.0052i	1.09436	+	0.624218i
$833$	−1.14941	+	2.25584i	−0.0398247	+	0.0781604i
$834$	0.950223	−	2.84817i	0.0329035	−	0.0986239i
$835$	28.1775	+	25.6408i	0.975123	+	0.887338i
$836$	1.89230	−	5.52691i	0.0654464	−	0.191152i
$837$	−6.66060	+	1.05494i	−0.230224	+	0.0364639i
$838$	−30.5171	+	15.2485i	−1.05420	+	0.526751i
$839$	−12.9256	+	9.39100i	−0.446241	+	0.324213i	−0.788110	−	0.615535i	$-0.788940\pi$
$839$	−12.9256	+	9.39100i	−0.446241	+	0.324213i	0.341869	+	0.939748i	$0.388940\pi$
$840$	−2.11364	+	15.7329i	−0.0729275	+	0.542836i
$841$	−23.1211	−	16.7985i	−0.797280	−	0.579258i
$842$	−24.4183	−	4.06434i	−0.841509	−	0.140066i
$843$	−1.19860	+	1.19860i	−0.0412819	+	0.0412819i
$844$	−36.1425	−	27.1367i	−1.24408	−	0.934083i
$845$	−0.803731	−	17.0522i	−0.0276492	−	0.586613i
$846$	−13.3953	−	0.105221i	−0.460541	−	0.00361759i
$847$	22.4054	−	11.4161i	0.769860	−	0.392263i
$848$	−11.6539	+	21.1982i	−0.400197	+	0.727949i
$849$			2.12731i			0.0730089i
$850$	−19.3112	+	16.7556i	−0.662367	+	0.574714i
$851$			33.6895i			1.15486i
$852$	−11.0241	−	22.5032i	−0.377680	−	0.770945i
$853$	45.1378	−	22.9989i	1.54549	−	0.787466i	0.546732	−	0.837308i	$-0.315872\pi$
$853$	45.1378	−	22.9989i	1.54549	−	0.787466i	0.998757	+	0.0498414i	$0.0158716\pi$
$854$	−0.0345285	+	4.39568i	−0.00118154	+	0.150417i
$855$	3.61997	−	5.51058i	0.123800	−	0.188458i
$856$	−16.0867	+	45.8077i	−0.549831	+	1.56567i
$857$	−33.6931	+	33.6931i	−1.15093	+	1.15093i	−0.164569	+	0.986366i	$0.552623\pi$
$857$	−33.6931	+	33.6931i	−1.15093	+	1.15093i	−0.986366	+	0.164569i	$0.947377\pi$
$858$	−1.04487	+	6.27749i	−0.0356712	+	0.214310i
$859$	28.7062	+	20.8562i	0.979441	+	0.711606i	0.957584	−	0.288155i	$-0.0930420\pi$
$859$	28.7062	+	20.8562i	0.979441	+	0.711606i	0.0218576	+	0.999761i	$0.493042\pi$
$860$	−5.07643	−	4.76734i	−0.173105	−	0.162565i
$861$	−23.8669	+	17.3403i	−0.813382	+	0.590956i
$862$	−22.9983	−	46.0269i	−0.783325	−	1.56768i
$863$	−31.6541	+	5.01352i	−1.07752	+	0.170662i	−0.669871	−	0.742477i	$-0.733651\pi$
$863$	−31.6541	+	5.01352i	−1.07752	+	0.170662i	−0.407647	+	0.913140i	$0.633651\pi$
$864$	−3.14276	−	4.70352i	−0.106919	−	0.160017i
$865$	13.7827	−	30.5233i	0.468627	−	1.03782i
$866$	−48.0973	−	16.0465i	−1.63441	−	0.545283i
$867$	1.78262	−	3.49859i	0.0605409	−	0.118818i
$868$	−33.3481	−	5.82023i	−1.13191	−	0.197552i
$869$	8.49801	−	2.76117i	0.288275	−	0.0936663i
$870$	−0.0804750	−	2.04959i	−0.00272836	−	0.0694876i
$871$	25.3643	+	8.24136i	0.859437	+	0.279248i
$872$	−46.2826	−	8.45284i	−1.56733	−	0.286249i
$873$	−8.35191	−	1.32281i	−0.282669	−	0.0447704i
$874$	−10.0557	−	31.7959i	−0.340138	−	1.07551i
$875$	28.0584	+	0.442893i	0.948549	+	0.0149725i
$876$	9.75065	+	13.8738i	0.329444	+	0.468753i
$877$	3.21039	−	20.2696i	0.108407	−	0.684457i	−0.872299	−	0.488972i	$-0.837372\pi$
$877$	3.21039	−	20.2696i	0.108407	−	0.684457i	0.980707	−	0.195485i	$-0.0626280\pi$
$878$	−16.0353	−	16.2892i	−0.541166	−	0.549735i
$879$	−5.46804	+	16.8289i	−0.184432	+	0.567625i
$880$	−5.09500	+	7.24900i	−0.171752	+	0.244364i
$881$	−10.4735	−	32.2341i	−0.352861	−	1.08599i	−0.957239	−	0.289297i	$-0.906579\pi$
$881$	−10.4735	−	32.2341i	−0.352861	−	1.08599i	0.604379	−	0.796697i	$-0.293421\pi$
$882$	−0.456484	+	0.878767i	−0.0153706	+	0.0295896i
$883$	−18.4629	−	9.40734i	−0.621327	−	0.316582i	0.114838	−	0.993384i	$-0.463365\pi$
$883$	−18.4629	−	9.40734i	−0.621327	−	0.316582i	−0.736165	+	0.676802i	$0.763365\pi$
$884$	0.516031	−	32.8449i	0.0173560	−	1.10469i
$885$	14.8963	+	6.72637i	0.500732	+	0.226105i
$886$	−5.09795	−	3.76541i	−0.171269	−	0.126502i
$887$	4.49497	+	28.3801i	0.150926	+	0.952911i	0.940633	+	0.339426i	$0.110233\pi$
$887$	4.49497	+	28.3801i	0.150926	+	0.952911i	−0.789706	+	0.613485i	$0.789767\pi$
$888$	5.65798	−	10.4860i	0.189869	−	0.351887i
$889$	−24.5009	−	33.7227i	−0.821735	−	1.13102i
$890$	−8.65764	−	15.4603i	−0.290205	−	0.518229i
$891$	0.582275	−	0.801432i	0.0195069	−	0.0268490i
$892$	−0.0960675	−	0.675014i	−0.00321658	−	0.0226012i
$893$	19.7492	+	19.7492i	0.660882	+	0.660882i
$894$	5.51163	+	7.71280i	0.184337	+	0.257955i
$895$	−1.72125	−	1.13071i	−0.0575351	−	0.0377955i
$896$	−7.27759	−	27.4483i	−0.243127	−	0.916983i
$897$	16.4925	+	32.3683i	0.550667	+	1.08075i
$898$	44.7808	−	6.73245i	1.49436	−	0.224665i
$899$	4.37416			0.145886
$900$	−7.60440	+	6.49408i	−0.253480	+	0.216469i
$901$	21.8665			0.728478
$902$	−16.2834	+	2.44809i	−0.542179	+	0.0815125i
$903$	1.77441	+	3.48248i	0.0590488	+	0.115890i
$904$	−19.4960	+	13.4744i	−0.648428	+	0.448153i
$905$	25.6644	−	1.20965i	0.853112	−	0.0402103i
$906$	−3.01677	−	4.22157i	−0.100226	−	0.140252i
$907$	−1.04173	−	1.04173i	−0.0345900	−	0.0345900i	0.689600	−	0.724190i	$-0.257786\pi$
$907$	−1.04173	−	1.04173i	−0.0345900	−	0.0345900i	−0.724190	+	0.689600i	$0.757786\pi$
$908$	30.0514	−	4.27689i	0.997291	−	0.141934i
$909$	3.65575	−	5.03171i	0.121254	−	0.166891i
$910$	−24.4745	+	26.4750i	−0.811321	+	0.877637i
$911$	1.07000	+	1.47273i	0.0354508	+	0.0487938i	0.826374	−	0.563121i	$-0.190400\pi$
$911$	1.07000	+	1.47273i	0.0354508	+	0.0487938i	−0.790924	+	0.611915i	$0.790400\pi$
$912$	−2.21008	+	11.5854i	−0.0731831	+	0.383631i
$913$	0.545307	+	3.44293i	0.0180470	+	0.113944i
$914$	26.0470	+	19.2386i	0.861557	+	0.636357i
$915$	−1.86372	+	2.04810i	−0.0616128	+	0.0677082i
$916$	−37.4722	−	0.588731i	−1.23812	−	0.0194522i
$917$	−33.8193	−	17.2318i	−1.11681	−	0.569044i
$918$	−2.35715	+	4.53770i	−0.0777976	+	0.149766i
$919$	−11.4266	−	35.1676i	−0.376930	−	1.16007i	−0.942167	−	0.335144i	$-0.891215\pi$
$919$	−11.4266	−	35.1676i	−0.376930	−	1.16007i	0.565237	−	0.824929i	$-0.308785\pi$
$920$	1.19022	+	50.5652i	0.0392404	+	1.66709i
$921$	8.26923	−	25.4501i	0.272480	−	0.838608i
$922$	−12.2283	−	12.4219i	−0.402718	−	0.409095i
$923$	8.90332	−	56.2134i	0.293056	−	1.85029i
$924$	4.06851	−	2.85938i	0.133844	−	0.0940668i
$925$	−19.5836	−	7.75482i	−0.643903	−	0.254977i
$926$	−13.8708	−	43.8593i	−0.455824	−	1.44131i
$927$	−14.9740	−	2.37164i	−0.491809	−	0.0778950i
$928$	1.53615	+	3.33220i	0.0504265	+	0.109385i
$929$	−36.8445	−	11.9715i	−1.20883	−	0.392772i	−0.365827	−	0.930683i	$-0.619214\pi$
$929$	−36.8445	−	11.9715i	−1.20883	−	0.392772i	−0.843002	+	0.537911i	$0.819214\pi$
$930$	−13.2019	−	16.7474i	−0.432907	−	0.549169i
$931$	1.96360	−	0.638012i	0.0643544	−	0.0209100i
$932$	−6.65641	+	38.1391i	−0.218038	+	1.24929i
$933$	−1.04874	+	2.05827i	−0.0343342	+	0.0673847i
$934$	2.22368	+	0.741878i	0.0727610	+	0.0242750i
$935$	7.96081	+	0.879084i	0.260346	+	0.0287491i
$936$	0.302736	−	12.8446i	0.00989525	−	0.419839i
$937$	14.1890	−	2.24732i	0.463536	−	0.0734168i	0.0797013	−	0.996819i	$-0.474603\pi$
$937$	14.1890	−	2.24732i	0.463536	−	0.0734168i	0.383834	+	0.923402i	$0.374603\pi$
$938$	−9.31503	−	18.6423i	−0.304146	−	0.608694i
$939$	5.29010	−	3.84349i	0.172636	−	0.125427i
$940$	−20.4066	−	37.1218i	−0.665589	−	1.21078i
$941$	28.0766	+	20.3988i	0.915270	+	0.664982i	0.942342	−	0.334651i	$-0.108618\pi$
$941$	28.0766	+	20.3988i	0.915270	+	0.664982i	−0.0270725	+	0.999633i	$0.508618\pi$
$942$	−4.08293	+	24.5300i	−0.133029	+	0.799229i
$943$	−66.4665	+	66.4665i	−2.16445	+	2.16445i
$944$	−29.2235	−	0.918497i	−0.951144	−	0.0298945i
$945$	5.25013	−	1.98371i	0.170787	−	0.0645300i
$946$	−0.0171359	+	2.18150i	−0.000557137	+	0.0709268i
$947$	2.50903	−	1.27841i	0.0815325	−	0.0415429i	−0.412749	−	0.910845i	$-0.635431\pi$
$947$	2.50903	−	1.27841i	0.0815325	−	0.0415429i	0.494281	+	0.869302i	$0.335431\pi$
$948$	−16.2003	+	7.93638i	−0.526160	+	0.257762i
$949$			38.5149i			1.25025i
$950$	20.7975	+	1.47361i	0.674760	+	0.0478103i
$951$		−	19.9446i		−	0.646747i
$952$	−18.5731	+	17.7178i	−0.601958	+	0.574236i
$953$	−25.2286	+	12.8546i	−0.817234	+	0.416401i	−0.812052	−	0.583585i	$-0.801649\pi$
$953$	−25.2286	+	12.8546i	−0.817234	+	0.416401i	−0.00518178	+	0.999987i	$0.501649\pi$
$954$	8.55234	+	0.0671795i	0.276892	+	0.00217502i
$955$	29.6036	+	36.9532i	0.957948	+	1.19578i
$956$	0.963240	−	1.28291i	0.0311534	−	0.0414923i
$957$	−0.454355	+	0.454355i	−0.0146872	+	0.0146872i
$958$	−1.87960	−	0.312852i	−0.0607270	−	0.0101078i
$959$	−16.5529	−	12.0264i	−0.534520	−	0.388351i
$960$	8.12172	−	15.9386i	0.262127	−	0.514415i
$961$	11.7117	−	8.50908i	0.377798	−	0.274486i
$962$	24.2083	−	12.0962i	0.780508	−	0.389997i
$963$	16.9538	−	2.68521i	0.546327	−	0.0865297i
$964$	24.0164	+	8.22271i	0.773517	+	0.264836i
$965$	−28.6910	+	16.3641i	−0.923596	+	0.526779i
$966$	8.98387	−	26.9279i	0.289051	−	0.866392i
$967$	11.2935	−	22.1648i	0.363175	−	0.712771i	−0.635041	−	0.772479i	$-0.719017\pi$
$967$	11.2935	−	22.1648i	0.363175	−	0.712771i	0.998216	+	0.0597073i	$0.0190167\pi$
$968$	−28.0849	+	3.77219i	−0.902682	+	0.121243i
$969$	10.1395	−	3.29451i	0.325726	−	0.105835i
$970$	−9.25461	−	25.0877i	−0.297148	−	0.805519i
$971$	13.7509	+	4.46795i	0.441289	+	0.143383i	0.521230	−	0.853416i	$-0.325473\pi$
$971$	13.7509	+	4.46795i	0.441289	+	0.143383i	−0.0799415	+	0.996800i	$0.525473\pi$
$972$	−0.935863	+	1.76753i	−0.0300178	+	0.0566935i
$973$	−5.26320	−	0.833609i	−0.168730	−	0.0267243i
$974$	−44.6622	+	14.1248i	−1.43107	+	0.452587i
$975$	−22.6119	+	2.13631i	−0.724160	+	0.0684165i
$976$	1.67799	−	4.66075i	0.0537112	−	0.149187i
$977$	0.0404109	−	0.255144i	0.00129286	−	0.00816278i	−0.987033	−	0.160515i	$-0.948685\pi$
$977$	0.0404109	−	0.255144i	0.00129286	−	0.00816278i	0.988326	+	0.152352i	$0.0486847\pi$
$978$	9.27818	−	9.13355i	0.296683	−	0.292059i
$979$	−1.71529	+	5.27913i	−0.0548211	+	0.168722i
$980$	−3.12993	+	0.0982772i	−0.0999819	+	0.00313935i
$981$	5.14020	+	15.8199i	0.164114	+	0.505091i
$982$	−3.84812	−	1.99894i	−0.122799	−	0.0637889i
$983$	10.9161	+	5.56205i	0.348171	+	0.177402i	0.619326	−	0.785134i	$-0.287406\pi$
$983$	10.9161	+	5.56205i	0.348171	+	0.177402i	−0.271156	+	0.962536i	$0.587406\pi$
$984$	31.8507	−	9.52529i	1.01536	−	0.303655i
$985$	47.1893	−	9.77120i	1.50358	−	0.311336i
$986$	1.97055	−	2.66790i	0.0627550	−	0.0849633i
$987$	3.71918	+	23.4820i	0.118383	+	0.747439i
$988$	−19.2372	+	18.6420i	−0.612016	+	0.593083i
$989$	7.31992	+	10.0750i	0.232760	+	0.320367i
$990$	3.11091	+	0.368282i	0.0988711	+	0.0117048i
$991$	−9.47852	+	13.0461i	−0.301095	+	0.414422i	−0.932578	−	0.360968i	$-0.882447\pi$
$991$	−9.47852	+	13.0461i	−0.301095	+	0.414422i	0.631483	+	0.775390i	$0.282447\pi$
$992$	33.2836	+	18.6399i	1.05676	+	0.591819i
$993$	−21.9391	−	21.9391i	−0.696217	−	0.696217i
$994$	−36.1840	+	25.8574i	−1.14769	+	0.820148i
$995$	−6.36479	+	23.2635i	−0.201778	+	0.737502i
$996$	−2.06935	−	6.72657i	−0.0655698	−	0.213139i
$997$	15.2660	+	29.9612i	0.483479	+	0.948881i	0.995927	+	0.0901629i	$0.0287388\pi$
$997$	15.2660	+	29.9612i	0.483479	+	0.948881i	−0.512448	+	0.858718i	$0.671261\pi$
$998$	−8.03810	−	53.4653i	−0.254442	−	1.69242i
$999$	−4.21261			−0.133281

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.223.18	yes	240
3.2	odd	2		900.2.bj.f.523.13		240
4.3	odd	2	inner	300.2.w.a.223.11	yes	240
12.11	even	2		900.2.bj.f.523.20		240
25.12	odd	20	inner	300.2.w.a.187.11	✓	240
75.62	even	20		900.2.bj.f.487.20		240
100.87	even	20	inner	300.2.w.a.187.18	yes	240
300.287	odd	20		900.2.bj.f.487.13		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.187.11	✓	240	25.12	odd	20	inner
300.2.w.a.187.18	yes	240	100.87	even	20	inner
300.2.w.a.223.11	yes	240	4.3	odd	2	inner
300.2.w.a.223.18	yes	240	1.1	even	1	trivial
900.2.bj.f.487.13		240	300.287	odd	20
900.2.bj.f.487.20		240	75.62	even	20
900.2.bj.f.523.13		240	3.2	odd	2
900.2.bj.f.523.20		240	12.11	even	2

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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.210253 + 1.39850i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.91159 + 0.588077i) q^{4} +(-0.590092 + 2.15680i) q^{5} +(-1.15062 + 0.822241i) q^{6} +(1.77479 + 1.77479i) q^{7} +(-1.22434 - 2.54970i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})\)	\(q+(0.210253 + 1.39850i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.91159 + 0.588077i) q^{4} +(-0.590092 + 2.15680i) q^{5} +(-1.15062 + 0.822241i) q^{6} +(1.77479 + 1.77479i) q^{7} +(-1.22434 - 2.54970i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-3.14035 - 0.371768i) q^{10} +(0.582275 + 0.801432i) q^{11} +(-1.39182 - 1.43626i) q^{12} +(-0.710606 - 4.48659i) q^{13} +(-2.10889 + 2.85520i) q^{14} +(-2.18962 + 0.453391i) q^{15} +(3.30833 - 2.24832i) q^{16} +(-3.22163 - 1.64150i) q^{17} +(-1.25499 - 0.651917i) q^{18} +(0.911162 + 2.80427i) q^{19} +(-0.140352 - 4.46993i) q^{20} +(-0.775613 + 2.38709i) q^{21} +(-0.998375 + 0.982813i) q^{22} +(-1.25105 + 7.89882i) q^{23} +(1.71596 - 2.24844i) q^{24} +(-4.30358 - 2.54542i) q^{25} +(6.12507 - 1.93710i) q^{26} +(-0.987688 - 0.156434i) q^{27} +(-4.43639 - 2.34896i) q^{28} +(0.616890 + 0.200440i) q^{29} +(-1.09444 - 2.96685i) q^{30} +(6.41357 - 2.08390i) q^{31} +(3.83986 + 4.15397i) q^{32} +(-0.449734 + 0.882653i) q^{33} +(1.61828 - 4.85057i) q^{34} +(-4.87517 + 2.78058i) q^{35} +(0.647838 - 1.89217i) q^{36} +(4.16075 - 0.658998i) q^{37} +(-3.73019 + 1.86386i) q^{38} +(3.67497 - 2.67002i) q^{39} +(6.22168 - 1.13610i) q^{40} +(9.50896 + 6.90867i) q^{41} +(-3.50142 - 0.582799i) q^{42} +(1.10111 - 1.10111i) q^{43} +(-1.58437 - 1.18959i) q^{44} +(-1.39804 - 1.74513i) q^{45} +(-11.3095 - 0.0888373i) q^{46} +(8.43980 - 4.30030i) q^{47} +(3.50522 + 1.92703i) q^{48} -0.700218i q^{49} +(2.65492 - 6.55373i) q^{50} -3.61572i q^{51} +(3.99684 + 8.15861i) q^{52} +(-5.38846 + 2.74556i) q^{53} +(0.0111084 - 1.41417i) q^{54} +(-2.07213 + 0.782931i) q^{55} +(2.35224 - 6.69815i) q^{56} +(-2.08496 + 2.08496i) q^{57} +(-0.150611 + 0.904861i) q^{58} +(-5.91350 - 4.29641i) q^{59} +(3.91902 - 2.15436i) q^{60} +(1.00189 - 0.727914i) q^{61} +(4.26280 + 8.53121i) q^{62} +(-2.47904 + 0.392641i) q^{63} +(-5.00198 + 6.24341i) q^{64} +(10.0960 + 1.11487i) q^{65} +(-1.32895 - 0.443371i) q^{66} +(-2.66543 + 5.23120i) q^{67} +(7.12376 + 1.24331i) q^{68} +(-7.60587 + 2.47130i) q^{69} +(-4.91366 - 6.23328i) q^{70} +(11.9160 + 3.87174i) q^{71} +(2.78240 + 0.508165i) q^{72} +(-8.37438 - 1.32637i) q^{73} +(1.79642 + 5.68024i) q^{74} +(0.314203 - 4.99012i) q^{75} +(-3.39089 - 4.82477i) q^{76} +(-0.388959 + 2.45579i) q^{77} +(4.50669 + 4.57805i) q^{78} +(2.78730 - 8.57843i) q^{79} +(2.89696 + 8.46213i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-7.66246 + 14.7508i) q^{82} +(3.13531 + 1.59752i) q^{83} +(0.0788583 - 5.01925i) q^{84} +(5.44146 - 5.97978i) q^{85} +(1.77141 + 1.30839i) q^{86} +(0.101469 + 0.640650i) q^{87} +(1.33051 - 2.46585i) q^{88} +(3.29356 + 4.53320i) q^{89} +(2.14662 - 2.32208i) q^{90} +(6.70159 - 9.22394i) q^{91} +(-2.25362 - 15.8350i) q^{92} +(4.76846 + 4.76846i) q^{93} +(7.78845 + 10.8989i) q^{94} +(-6.58592 + 0.310418i) q^{95} +(-1.95796 + 5.30720i) q^{96} +(3.83895 + 7.53437i) q^{97} +(0.979253 - 0.147223i) q^{98} -0.990625 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 12 q^{8}+O(q^{10}) \) 240 * q + 12 * q^8	\( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) \) 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Introduction

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