LMFDB - Embedded newform 300.2.w.a.187.11

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			187.11
Character	$\chi$	$=$	300.187
Dual form			300.2.w.a.223.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.632122 - 1.26508i) q^{2} +(-0.453990 + 0.891007i) q^{3} +(-1.20084 + 1.59937i) q^{4} +(-0.590092 - 2.15680i) q^{5} +(1.41417 + 0.0111084i) q^{6} +(-1.77479 + 1.77479i) q^{7} +(2.78240 + 0.508165i) q^{8} +(-0.587785 - 0.809017i) q^{9} +O(q^{10})$	\(q+(-0.632122 - 1.26508i) q^{2} +(-0.453990 + 0.891007i) q^{3} +(-1.20084 + 1.59937i) q^{4} +(-0.590092 - 2.15680i) q^{5} +(1.41417 + 0.0111084i) q^{6} +(-1.77479 + 1.77479i) q^{7} +(2.78240 + 0.508165i) q^{8} +(-0.587785 - 0.809017i) q^{9} +(-2.35551 + 2.10987i) q^{10} +(-0.582275 + 0.801432i) q^{11} +(-0.879875 - 1.79606i) q^{12} +(-0.710606 + 4.48659i) q^{13} +(3.36714 + 1.12337i) q^{14} +(2.18962 + 0.453391i) q^{15} +(-1.11595 - 3.84118i) q^{16} +(-3.22163 + 1.64150i) q^{17} +(-0.651917 + 1.25499i) q^{18} +(-0.911162 + 2.80427i) q^{19} +(4.15813 + 1.64621i) q^{20} +(-0.775613 - 2.38709i) q^{21} +(1.38194 + 0.230020i) 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} +(-0.707297 - 4.96979i) q^{28} +(0.616890 - 0.200440i) q^{29} +(-0.810532 - 3.05664i) q^{30} +(-6.41357 - 2.08390i) q^{31} +(-4.15397 + 3.83986i) q^{32} +(-0.449734 - 0.882653i) q^{33} +(4.11309 + 3.03798i) q^{34} +(4.87517 + 2.78058i) q^{35} +(1.99975 + 0.0314184i) q^{36} +(4.16075 + 0.658998i) q^{37} +(4.12358 - 0.619949i) q^{38} +(-3.67497 - 2.67002i) q^{39} +(-0.545863 - 6.30095i) q^{40} +(9.50896 - 6.90867i) q^{41} +(-2.52957 + 2.49014i) q^{42} +(-1.10111 - 1.10111i) q^{43} +(-0.582564 - 1.89367i) q^{44} +(-1.39804 + 1.74513i) q^{45} +(9.20181 - 6.57569i) q^{46} +(-8.43980 - 4.30030i) q^{47} +(3.92915 + 0.749540i) q^{48} +0.700218i q^{49} +(5.94055 + 3.83535i) q^{50} -3.61572i q^{51} +(-6.32237 - 6.52421i) q^{52} +(-5.38846 - 2.74556i) q^{53} +(-0.822241 - 1.15062i) q^{54} +(2.07213 + 0.782931i) q^{55} +(-5.84008 + 4.03630i) q^{56} +(-2.08496 - 2.08496i) q^{57} +(-0.643521 - 0.653711i) q^{58} +(5.91350 - 4.29641i) q^{59} +(-3.35453 + 2.95755i) q^{60} +(1.00189 + 0.727914i) q^{61} +(1.41787 + 9.43094i) q^{62} +(2.47904 + 0.392641i) q^{63} +(7.48354 + 2.82784i) q^{64} +(10.0960 - 1.11487i) q^{65} +(-0.832338 + 1.12689i) q^{66} +(2.66543 + 5.23120i) q^{67} +(1.24331 - 7.12376i) q^{68} +(-7.60587 - 2.47130i) q^{69} +(0.435954 - 7.92514i) q^{70} +(-11.9160 + 3.87174i) q^{71} +(-1.22434 - 2.54970i) 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} +(-1.05476 + 6.33690i) q^{78} +(-2.78730 - 8.57843i) q^{79} +(-7.62615 + 4.67353i) q^{80} +(-0.309017 + 0.951057i) q^{81} +(-14.7508 - 7.66246i) q^{82} +(-3.13531 + 1.59752i) q^{83} +(4.74923 + 1.62603i) q^{84} +(5.44146 + 5.97978i) q^{85} +(-0.696954 + 2.08902i) q^{86} +(-0.101469 + 0.640650i) q^{87} +(-2.02738 + 1.93402i) q^{88} +(3.29356 - 4.53320i) q^{89} +(3.09146 + 0.665495i) q^{90} +(-6.70159 - 9.22394i) q^{91} +(-14.1354 - 7.48436i) q^{92} +(4.76846 - 4.76846i) q^{93} +(-0.105221 + 13.3953i) q^{94} +(6.58592 + 0.310418i) q^{95} +(-1.53547 - 5.44448i) q^{96} +(3.83895 - 7.53437i) q^{97} +(0.885830 - 0.442623i) 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 $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{20}\right)$

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 $

$2$	−0.632122	−	1.26508i	−0.446978	−	0.894545i
$2$	−0.632122	−	1.26508i	−0.446978	−	0.894545i
$3$	−0.453990	+	0.891007i	−0.262112	+	0.514423i
$3$	−0.453990	+	0.891007i	−0.262112	+	0.514423i
$4$	−1.20084	+	1.59937i	−0.600422	+	0.799684i
$5$	−0.590092	−	2.15680i	−0.263897	−	0.964551i
$5$	−0.590092	−	2.15680i	−0.263897	−	0.964551i
$6$	1.41417	+	0.0111084i	0.577332	+	0.00453500i
$7$	−1.77479	+	1.77479i	−0.670809	+	0.670809i	−0.957903	−	0.287094i	$-0.907311\pi$
$7$	−1.77479	+	1.77479i	−0.670809	+	0.670809i	0.287094	+	0.957903i	$0.407311\pi$
$8$	2.78240	+	0.508165i	0.983728	+	0.179664i
$9$	−0.587785	−	0.809017i	−0.195928	−	0.269672i
$10$	−2.35551	+	2.10987i	−0.744878	+	0.667201i
$11$	−0.582275	+	0.801432i	−0.175562	+	0.241641i	−0.887726	−	0.460373i	$-0.847716\pi$
$11$	−0.582275	+	0.801432i	−0.175562	+	0.241641i	0.712163	+	0.702014i	$0.247716\pi$
$12$	−0.879875	−	1.79606i	−0.253998	−	0.518477i
$13$	−0.710606	+	4.48659i	−0.197087	+	1.24436i	0.668544	+	0.743673i	$0.266918\pi$
$13$	−0.710606	+	4.48659i	−0.197087	+	1.24436i	−0.865631	+	0.500683i	$0.833082\pi$
$14$	3.36714	+	1.12337i	0.899905	+	0.300232i
$15$	2.18962	+	0.453391i	0.565357	+	0.117065i
$16$	−1.11595	−	3.84118i	−0.278987	−	0.960295i
$17$	−3.22163	+	1.64150i	−0.781361	+	0.398123i	−0.798702	−	0.601727i	$-0.794480\pi$
$17$	−3.22163	+	1.64150i	−0.781361	+	0.398123i	0.0173417	+	0.999850i	$0.494480\pi$
$18$	−0.651917	+	1.25499i	−0.153658	+	0.295804i
$19$	−0.911162	+	2.80427i	−0.209035	+	0.643343i	0.790489	+	0.612477i	$0.209827\pi$
$19$	−0.911162	+	2.80427i	−0.209035	+	0.643343i	−0.999524	+	0.0308666i	$0.990173\pi$
$20$	4.15813	+	1.64621i	0.929785	+	0.368103i
$21$	−0.775613	−	2.38709i	−0.169253	−	0.520906i
$22$	1.38194	+	0.230020i	0.294631	+	0.0490404i
$23$	1.25105	+	7.89882i	0.260862	+	1.64702i	0.675739	+	0.737141i	$0.263825\pi$
$23$	1.25105	+	7.89882i	0.260862	+	1.64702i	−0.414877	+	0.909877i	$0.636175\pi$
$24$	−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
$28$	−0.707297	−	4.96979i	−0.133667	−	0.939203i
$29$	0.616890	−	0.200440i	0.114554	−	0.0372207i	−0.251179	−	0.967941i	$-0.580818\pi$
$29$	0.616890	−	0.200440i	0.114554	−	0.0372207i	0.365733	+	0.930720i	$0.380818\pi$
$30$	−0.810532	−	3.05664i	−0.147982	−	0.558063i
$31$	−6.41357	−	2.08390i	−1.15191	−	0.374279i	−0.330048	−	0.943964i	$-0.607065\pi$
$31$	−6.41357	−	2.08390i	−1.15191	−	0.374279i	−0.821863	+	0.569685i	$0.807065\pi$
$32$	−4.15397	+	3.83986i	−0.734326	+	0.678797i
$33$	−0.449734	−	0.882653i	−0.0782887	−	0.153650i
$34$	4.11309	+	3.03798i	0.705390	+	0.521010i
$35$	4.87517	+	2.78058i	0.824054	+	0.470005i
$36$	1.99975	+	0.0314184i	0.333292	+	0.00523640i
$37$	4.16075	+	0.658998i	0.684023	+	0.108339i	0.488768	−	0.872414i	$-0.337447\pi$
$37$	4.16075	+	0.658998i	0.684023	+	0.108339i	0.195255	+	0.980752i	$0.437447\pi$
$38$	4.12358	−	0.619949i	0.668934	−	0.100569i
$39$	−3.67497	−	2.67002i	−0.588466	−	0.427546i
$40$	−0.545863	−	6.30095i	−0.0863086	−	0.996268i
$41$	9.50896	−	6.90867i	1.48505	−	1.07895i	0.509165	−	0.860669i	$-0.329954\pi$
$41$	9.50896	−	6.90867i	1.48505	−	1.07895i	0.975885	−	0.218283i	$-0.0700457\pi$
$42$	−2.52957	+	2.49014i	−0.390322	+	0.384238i
$43$	−1.10111	−	1.10111i	−0.167918	−	0.167918i	0.618146	−	0.786063i	$-0.287884\pi$
$43$	−1.10111	−	1.10111i	−0.167918	−	0.167918i	−0.786063	+	0.618146i	$0.787884\pi$
$44$	−0.582564	−	1.89367i	−0.0878248	−	0.285481i
$45$	−1.39804	+	1.74513i	−0.208408	+	0.260149i
$46$	9.20181	−	6.57569i	1.35673	−	0.969533i
$47$	−8.43980	−	4.30030i	−1.23107	−	0.627262i	−0.287294	−	0.957842i	$-0.592756\pi$
$47$	−8.43980	−	4.30030i	−1.23107	−	0.627262i	−0.943778	+	0.330580i	$0.892756\pi$
$48$	3.92915	+	0.749540i	0.567123	+	0.108187i
$49$			0.700218i			0.100031i
$50$	5.94055	+	3.83535i	0.840120	+	0.542400i
$51$		−	3.61572i		−	0.506302i
$52$	−6.32237	−	6.52421i	−0.876756	−	0.904745i
$53$	−5.38846	−	2.74556i	−0.740162	−	0.377131i	0.0428967	−	0.999080i	$-0.486341\pi$
$53$	−5.38846	−	2.74556i	−0.740162	−	0.377131i	−0.783058	+	0.621948i	$0.786341\pi$
$54$	−0.822241	−	1.15062i	−0.111893	−	0.156579i
$55$	2.07213	+	0.782931i	0.279405	+	0.105570i
$56$	−5.84008	+	4.03630i	−0.780413	+	0.539374i
$57$	−2.08496	−	2.08496i	−0.276160	−	0.276160i
$58$	−0.643521	−	0.653711i	−0.0844985	−	0.0858365i
$59$	5.91350	−	4.29641i	0.769872	−	0.559345i	−0.132051	−	0.991243i	$-0.542156\pi$
$59$	5.91350	−	4.29641i	0.769872	−	0.559345i	0.901922	+	0.431898i	$0.142156\pi$
$60$	−3.35453	+	2.95755i	−0.433068	+	0.381819i
$61$	1.00189	+	0.727914i	0.128279	+	0.0931999i	0.650074	−	0.759871i	$-0.274738\pi$
$61$	1.00189	+	0.727914i	0.128279	+	0.0931999i	−0.521796	+	0.853070i	$0.674738\pi$
$62$	1.41787	+	9.43094i	0.180070	+	1.19773i
$63$	2.47904	+	0.392641i	0.312329	+	0.0494681i
$64$	7.48354	+	2.82784i	0.935442	+	0.353480i
$65$	10.0960	−	1.11487i	1.25225	−	0.138282i
$66$	−0.832338	+	1.12689i	−0.102454	+	0.138711i
$67$	2.66543	+	5.23120i	0.325634	+	0.639093i	0.994552	−	0.104244i	$-0.0332422\pi$
$67$	2.66543	+	5.23120i	0.325634	+	0.639093i	−0.668918	+	0.743336i	$0.733242\pi$
$68$	1.24331	−	7.12376i	0.150773	−	0.863883i
$69$	−7.60587	−	2.47130i	−0.915639	−	0.297509i
$70$	0.435954	−	7.92514i	0.0521065	−	0.947235i
$71$	−11.9160	+	3.87174i	−1.41417	+	0.459491i	−0.913744	−	0.406291i	$-0.866822\pi$
$71$	−11.9160	+	3.87174i	−1.41417	+	0.459491i	−0.500423	+	0.865781i	$0.666822\pi$
$72$	−1.22434	−	2.54970i	−0.144290	−	0.300485i
$73$	−8.37438	+	1.32637i	−0.980147	+	0.155240i	−0.625893	−	0.779909i	$-0.715265\pi$
$73$	−8.37438	+	1.32637i	−0.980147	+	0.155240i	−0.354254	+	0.935149i	$0.615265\pi$
$74$	−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
$78$	−1.05476	+	6.33690i	−0.119428	+	0.717513i
$79$	−2.78730	−	8.57843i	−0.313596	−	0.965149i	−0.976328	−	0.216293i	$-0.930603\pi$
$79$	−2.78730	−	8.57843i	−0.313596	−	0.965149i	0.662732	−	0.748856i	$-0.269397\pi$
$80$	−7.62615	+	4.67353i	−0.852629	+	0.522517i
$81$	−0.309017	+	0.951057i	−0.0343352	+	0.105673i
$82$	−14.7508	−	7.66246i	−1.62896	−	0.846177i
$83$	−3.13531	+	1.59752i	−0.344145	+	0.175351i	−0.617516	−	0.786558i	$-0.711861\pi$
$83$	−3.13531	+	1.59752i	−0.344145	+	0.175351i	0.273372	+	0.961908i	$0.411861\pi$
$84$	4.74923	+	1.62603i	0.518183	+	0.177415i
$85$	5.44146	+	5.97978i	0.590209	+	0.648598i
$86$	−0.696954	+	2.08902i	−0.0751544	+	0.225265i
$87$	−0.101469	+	0.640650i	−0.0108786	+	0.0686849i
$88$	−2.02738	+	1.93402i	−0.216120	+	0.206167i
$89$	3.29356	−	4.53320i	0.349117	−	0.480518i	−0.597960	−	0.801526i	$-0.704022\pi$
$89$	3.29356	−	4.53320i	0.349117	−	0.480518i	0.947076	+	0.321008i	$0.104022\pi$
$90$	3.09146	+	0.665495i	0.325868	+	0.0701494i
$91$	−6.70159	−	9.22394i	−0.702517	−	0.966932i
$92$	−14.1354	−	7.48436i	−1.47372	−	0.780298i
$93$	4.76846	−	4.76846i	0.494467	−	0.494467i
$94$	−0.105221	+	13.3953i	−0.0108528	+	1.38162i
$95$	6.58592	+	0.310418i	0.675701	+	0.0318482i
$96$	−1.53547	−	5.44448i	−0.156714	−	0.555675i
$97$	3.83895	−	7.53437i	0.389786	−	0.764999i	−0.609835	−	0.792529i	$-0.708764\pi$
$97$	3.83895	−	7.53437i	0.389786	−	0.764999i	0.999621	+	0.0275298i	$0.00876413\pi$
$98$	0.885830	−	0.442623i	0.0894823	−	0.0447117i
$99$	0.990625			0.0995615
$100$	1.09686	−	9.93966i	0.109686	−	0.993966i
$101$	−6.21954			−0.618867			−0.309434	−	0.950921i	$-0.600139\pi$
$101$	−6.21954			−0.618867			−0.309434	+	0.950921i	$0.600139\pi$
$102$	−4.57417	+	2.28558i	−0.452910	+	0.226306i
$103$	−6.88277	+	13.5082i	−0.678180	+	1.33100i	0.253363	+	0.967371i	$0.418463\pi$
$103$	−6.88277	+	13.5082i	−0.678180	+	1.33100i	−0.931543	+	0.363632i	$0.881537\pi$
$104$	−4.25712	+	12.1224i	−0.417445	+	1.18870i
$105$	−4.69080	+	3.08145i	−0.457775	+	0.300718i
$106$	−0.0671795	+	8.55234i	−0.00652505	+	0.830677i
$107$	12.1376	−	12.1376i	1.17338	−	1.17338i	0.191983	−	0.981398i	$-0.438508\pi$
$107$	12.1376	−	12.1376i	1.17338	−	1.17338i	0.981398	−	0.191983i	$-0.0614920\pi$
$108$	−0.935863	+	1.76753i	−0.0900535	+	0.170081i
$109$	9.77725	+	13.4572i	0.936490	+	1.28897i	0.957273	+	0.289184i	$0.0933840\pi$
$109$	9.77725	+	13.4572i	0.936490	+	1.28897i	−0.0207832	+	0.999784i	$0.506616\pi$
$110$	−0.319367	−	3.11631i	−0.0304504	−	0.297128i
$111$	−2.47611	+	3.40808i	−0.235022	+	0.323480i
$112$	8.79788	+	4.83672i	0.831321	+	0.457027i
$113$	−1.31076	+	8.27580i	−0.123306	+	0.778522i	0.846094	+	0.533034i	$0.178948\pi$
$113$	−1.31076	+	8.27580i	−0.123306	+	0.778522i	−0.969400	+	0.245488i	$0.921052\pi$
$114$	−1.31969	+	3.95559i	−0.123600	+	0.370475i
$115$	16.2980	−	7.35930i	1.51979	−	0.686258i
$116$	−0.420211	+	1.22733i	−0.0390157	+	0.113955i
$117$	4.04741	−	2.06226i	0.374183	−	0.190656i
$118$	−9.17334	−	4.76518i	−0.844474	−	0.438670i
$119$	2.80440	−	8.63106i	0.257079	−	0.791208i
$120$	5.86201	+	2.37421i	0.535126	+	0.216734i
$121$	3.09594	+	9.52831i	0.281449	+	0.866210i
$122$	0.287553	−	1.72760i	0.0260338	−	0.156409i
$123$	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	$-0.286320\pi$
$127$	16.4029	−	2.59797i	1.45552	−	0.230532i	0.833523	+	0.552484i	$0.186320\pi$
$128$	−1.15307	−	11.2548i	−0.101918	−	0.994793i
$129$	1.48099	−	0.481202i	0.130394	−	0.0423675i
$130$	−7.79230	−	12.0675i	−0.683430	−	1.05839i
$131$	14.3823	+	4.67308i	1.25658	+	0.408289i	0.860276	−	0.509829i	$-0.170291\pi$
$131$	14.3823	+	4.67308i	1.25658	+	0.408289i	0.396308	+	0.918118i	$0.370291\pi$
$132$	1.95175	+	0.340638i	0.169878	+	0.0296487i
$133$	−3.35987	−	6.59412i	−0.291338	−	0.571783i
$134$	4.93300	−	6.67873i	0.426146	−	0.576955i
$135$	−0.920225	−	2.03794i	−0.0792004	−	0.175398i
$136$	−9.79803	+	2.93020i	−0.840175	+	0.251263i
$137$	−8.05142	−	1.27522i	−0.687880	−	0.108949i	−0.197296	−	0.980344i	$-0.563216\pi$
$137$	−8.05142	−	1.27522i	−0.687880	−	0.108949i	−0.490583	+	0.871394i	$0.663216\pi$
$138$	1.68145	+	11.1842i	0.143135	+	0.952060i
$139$	1.71761	+	1.24792i	0.145686	+	0.105847i	0.658241	−	0.752807i	$-0.271301\pi$
$139$	1.71761	+	1.24792i	0.145686	+	0.105847i	−0.512555	+	0.858654i	$0.671301\pi$
$140$	−10.3015	+	4.45814i	−0.870635	+	0.376781i
$141$	7.66318	−	5.56763i	0.645356	−	0.468879i
$142$	12.4304	+	12.6272i	1.04314	+	1.05965i
$143$	−3.18193	−	3.18193i	−0.266086	−	0.266086i
$144$	−2.45164	+	3.16061i	−0.204303	+	0.263384i
$145$	−0.796330	−	1.21223i	−0.0661316	−	0.100670i
$146$	6.97160	+	9.75582i	0.576973	+	0.807397i
$147$	−0.623899	−	0.317892i	−0.0514583	−	0.0262193i
$148$	−6.05039	+	5.86321i	−0.497339	+	0.481953i
$149$			6.70318i			0.549146i	0.961566	+	0.274573i	$0.0885365\pi$
$149$			6.70318i			0.549146i	−0.961566	+	0.274573i	$0.911463\pi$
$150$	−6.11427	+	3.55186i	−0.499228	+	0.290008i
$151$			3.66896i			0.298576i	0.988794	+	0.149288i	$0.0476982\pi$
$151$			3.66896i			0.298576i	−0.988794	+	0.149288i	$0.952302\pi$
$152$	−3.96025	+	7.33959i	−0.321219	+	0.595319i
$153$	3.22163	+	1.64150i	0.260454	+	0.132708i
$154$	−2.86090	+	2.04442i	−0.230538	+	0.164744i
$155$	−0.709950	+	15.0625i	−0.0570245	+	1.20985i
$156$	8.68341	−	2.67135i	0.695229	−	0.213879i
$157$	12.4337	+	12.4337i	0.992319	+	0.992319i	0.999971	−	0.00765190i	$-0.00243570\pi$
$157$	12.4337	+	12.4337i	0.992319	+	0.992319i	−0.00765190	+	0.999971i	$0.502436\pi$
$158$	−9.09047	+	8.94877i	−0.723199	+	0.711926i
$159$	4.89262	−	3.55469i	0.388010	−	0.281906i
$160$	10.7330	+	6.69342i	0.848521	+	0.529162i
$161$	−16.2391	−	11.7984i	−1.27982	−	0.929846i
$162$	1.39850	−	0.210253i	0.109876	−	0.0165191i
$163$	9.09281	+	1.44016i	0.712204	+	0.112802i	0.502015	−	0.864859i	$-0.332592\pi$
$163$	9.09281	+	1.44016i	0.712204	+	0.112802i	0.210189	+	0.977661i	$0.432592\pi$
$164$	−0.369284	+	23.5045i	−0.0288362	+	1.83540i
$165$	−1.63832	+	1.49083i	−0.127543	+	0.116061i
$166$	4.00288	+	2.95658i	0.310684	+	0.229475i
$167$	−7.73498	−	15.1807i	−0.598550	−	1.17472i	−0.969275	−	0.245979i	$-0.920891\pi$
$167$	−7.73498	−	15.1807i	−0.598550	−	1.17472i	0.370725	−	0.928743i	$-0.379109\pi$
$168$	−0.945031	−	7.03599i	−0.0729108	−	0.542839i
$169$	−7.26078	−	2.35917i	−0.558521	−	0.181475i
$170$	4.12522	−	10.6638i	0.316390	−	0.817877i
$171$	2.80427	−	0.911162i	0.214448	−	0.0696783i
$172$	3.08334	−	0.438818i	0.235102	−	0.0334596i
$173$	−14.7932	+	2.34301i	−1.12470	+	0.178136i	−0.690955	−	0.722898i	$-0.742810\pi$
$173$	−14.7932	+	2.34301i	−1.12470	+	0.178136i	−0.433749	+	0.901034i	$0.642810\pi$
$174$	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
$178$	−7.81678	−	1.30108i	−0.585893	−	0.0975199i
$179$	0.284605	+	0.875924i	0.0212724	+	0.0654696i	0.961129	−	0.276099i	$-0.0890418\pi$
$179$	0.284605	+	0.875924i	0.0212724	+	0.0654696i	−0.939857	+	0.341569i	$0.889042\pi$
$180$	−1.11228	−	4.33161i	−0.0829041	−	0.322859i
$181$	−3.55067	+	10.9278i	−0.263919	+	0.812259i	0.728022	+	0.685554i	$0.240440\pi$
$181$	−3.55067	+	10.9278i	−0.263919	+	0.812259i	−0.991940	+	0.126705i	$0.959560\pi$
$182$	−7.43279	+	14.3087i	−0.550955	+	1.06063i
$183$	−1.10342	+	0.562223i	−0.0815675	+	0.0415607i
$184$	−0.532980	+	22.6134i	−0.0392918	+	1.66709i
$185$	−1.03390	−	9.36278i	−0.0760137	−	0.688365i
$186$	−9.04673	−	3.01823i	−0.663338	−	0.221307i
$187$	0.560321	−	3.53772i	0.0409747	−	0.258704i
$188$	17.0126	−	8.33436i	1.24077	−	0.607846i
$189$	−1.47530	+	2.03058i	−0.107313	+	0.147703i
$190$	−3.77040	−	8.52792i	−0.273534	−	0.618681i
$191$	−12.4464	−	17.1310i	−0.900587	−	1.23955i	−0.970280	−	0.241984i	$-0.922202\pi$
$191$	−12.4464	−	17.1310i	−0.900587	−	1.23955i	0.0696930	−	0.997568i	$-0.477798\pi$
$192$	−5.91708	+	5.38407i	−0.427028	+	0.388562i
$193$	10.4449	−	10.4449i	0.751839	−	0.751839i	−0.222983	−	0.974822i	$-0.571579\pi$
$193$	10.4449	−	10.4449i	0.751839	−	0.751839i	0.974822	+	0.222983i	$0.0715794\pi$
$194$	−11.9582	−	0.0939331i	−0.858552	−	0.00674400i
$195$	−3.59014	+	9.50174i	−0.257095	+	0.680434i
$196$	−1.11991	−	0.840852i	−0.0799932	−	0.0600609i
$197$	−9.78412	+	19.2024i	−0.697090	+	1.36812i	0.222382	+	0.974960i	$0.428617\pi$
$197$	−9.78412	+	19.2024i	−0.697090	+	1.36812i	−0.919472	+	0.393156i	$0.871383\pi$
$198$	−0.626196	−	1.25322i	−0.0445018	−	0.0890623i
$199$	−10.7861			−0.764606			−0.382303	−	0.924037i	$-0.624869\pi$
$199$	−10.7861			−0.764606			−0.382303	+	0.924037i	$0.624869\pi$
$200$	−13.2678	+	4.89546i	−0.938175	+	0.346162i
$201$	−5.87111			−0.414116
$202$	3.93151	+	7.86820i	0.276620	+	0.553605i
$203$	−0.739113	+	1.45059i	−0.0518755	+	0.101811i
$204$	5.78287	+	4.34192i	0.404882	+	0.303995i
$205$	−20.5118	−	16.4322i	−1.43261	−	1.14767i
$206$	21.4397	+	0.168411i	1.49377	+	0.0117337i
$207$	5.65493	−	5.65493i	0.393045	−	0.393045i
$208$	18.0268	−	2.27724i	1.24993	−	0.157898i
$209$	−1.71688	−	2.36309i	−0.118759	−	0.163458i
$210$	6.86343	+	3.98637i	0.473622	+	0.275086i
$211$	−13.2828	+	18.2822i	−0.914424	+	1.25860i	0.0512093	+	0.998688i	$0.483692\pi$
$211$	−13.2828	+	18.2822i	−0.914424	+	1.25860i	−0.965633	+	0.259909i	$0.916308\pi$
$212$	10.8618	−	5.32114i	0.745995	−	0.365457i
$213$	1.96000	−	12.3749i	0.134297	−	0.847917i
$214$	−23.0274	−	7.68253i	−1.57412	−	0.525167i
$215$	−1.72512	+	3.02463i	−0.117652	+	0.206278i
$216$	2.82764	+	0.0666451i	0.192397	+	0.00453463i
$217$	15.0812	−	7.68428i	1.02378	−	0.521643i
$218$	10.8440	−	20.8756i	0.734450	−	1.41387i
$219$	2.62008	−	8.06379i	0.177049	−	0.544900i
$220$	−3.74049	+	2.37391i	−0.252184	+	0.160049i
$221$	−5.07544	−	15.6206i	−0.341411	−	1.05076i
$222$	5.87669	+	0.978155i	0.394417	+	0.0656494i
$223$	0.0533298	+	0.336711i	0.00357123	+	0.0225478i	0.989410	−	0.145150i	$-0.0463666\pi$
$223$	0.0533298	+	0.336711i	0.00357123	+	0.0225478i	−0.985838	+	0.167698i	$0.946367\pi$
$224$	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	$-0.381983\pi$
$227$	14.9903	−	2.37422i	0.994939	−	0.157583i	0.632612	+	0.774469i	$0.281983\pi$
$228$	5.83834	−	0.830907i	0.386653	−	0.0550282i
$229$	17.8213	−	5.79049i	1.17766	−	0.382646i	0.346166	−	0.938173i	$-0.387484\pi$
$229$	17.8213	−	5.79049i	1.17766	−	0.382646i	0.831498	+	0.555527i	$0.187484\pi$
$230$	−19.6124	−	15.9662i	−1.29320	−	1.05278i
$231$	2.36471	+	0.768341i	0.155587	+	0.0505532i
$232$	1.81829	−	0.244222i	0.119377	−	0.0160340i
$233$	8.78825	+	17.2479i	0.575737	+	1.12995i	0.976851	+	0.213920i	$0.0686232\pi$
$233$	8.78825	+	17.2479i	0.575737	+	1.12995i	−0.401114	+	0.916028i	$0.631377\pi$
$234$	−5.16737	−	3.81669i	−0.337802	−	0.249505i
$235$	−4.29462	+	20.7406i	−0.280150	+	1.35296i
$236$	−0.229652	+	14.6172i	−0.0149491	+	0.951496i
$237$	8.90885	+	1.41102i	0.578692	+	0.0916558i
$238$	−12.6917	+	1.90810i	−0.822680	+	0.123684i
$239$	0.648942	+	0.471484i	0.0419765	+	0.0304977i	0.608576	−	0.793496i	$-0.291741\pi$
$239$	0.648942	+	0.471484i	0.0419765	+	0.0304977i	−0.566599	+	0.823994i	$0.691741\pi$
$240$	−0.701950	−	8.91668i	−0.0453107	−	0.575570i
$241$	−10.2685	+	7.46048i	−0.661451	+	0.480572i	−0.867152	−	0.498043i	$-0.834052\pi$
$241$	−10.2685	+	7.46048i	−0.661451	+	0.480572i	0.205702	+	0.978615i	$0.434052\pi$
$242$	10.0970	−	9.93966i	0.649063	−	0.638945i
$243$	−0.707107	−	0.707107i	−0.0453609	−	0.0453609i
$244$	−2.36731	+	0.728276i	−0.151552	+	0.0466231i
$245$	1.51023	−	0.413193i	0.0964851	−	0.0263979i
$246$	13.5240	−	9.66440i	0.862261	−	0.616179i
$247$	−11.9341	−	6.08074i	−0.759350	−	0.386908i
$248$	−16.7862	−	9.05739i	−1.06592	−	0.575145i
$249$		−	3.51884i		−	0.222997i
$250$	4.76661	−	15.0758i	0.301467	−	0.953477i
$251$			5.05741i			0.319221i	0.987180	+	0.159610i	$0.0510238\pi$
$251$			5.05741i			0.319221i	−0.987180	+	0.159610i	$0.948976\pi$
$252$	−3.60491	+	3.49339i	−0.227088	+	0.220063i
$253$	−7.05882	−	3.59665i	−0.443784	−	0.226119i
$254$	−13.6553	−	19.1087i	−0.856808	−	1.19899i
$255$	−7.79839	+	2.13361i	−0.488354	+	0.133612i
$256$	−13.5093	+	8.57313i	−0.844332	+	0.535820i
$257$	−5.59294	−	5.59294i	−0.348878	−	0.348878i	0.510814	−	0.859692i	$-0.329344\pi$
$257$	−5.59294	−	5.59294i	−0.348878	−	0.348878i	−0.859692	+	0.510814i	$0.829344\pi$
$258$	−1.54492	−	1.56939i	−0.0961828	−	0.0977058i
$259$	−8.55406	+	6.21489i	−0.531523	+	0.386174i
$260$	−10.3406	+	17.4860i	−0.641299	+	1.08444i
$261$	−0.524758	−	0.381259i	−0.0324817	−	0.0235993i
$262$	−3.17953	−	21.1486i	−0.196432	−	1.30657i
$263$	5.26506	+	0.833904i	0.324658	+	0.0514207i	0.316636	−	0.948547i	$-0.397447\pi$
$263$	5.26506	+	0.833904i	0.324658	+	0.0514207i	0.00802154	+	0.999968i	$0.497447\pi$
$264$	−0.802808	−	2.68444i	−0.0494094	−	0.165216i
$265$	−2.74193	+	13.2420i	−0.168436	+	0.813447i
$266$	−6.21823	+	8.41879i	−0.381264	+	0.516189i
$267$	2.54386	+	4.99262i	0.155682	+	0.305543i
$268$	−11.5674	−	2.01885i	−0.706590	−	0.123321i
$269$	14.5139	+	4.71586i	0.884929	+	0.287531i	0.716002	−	0.698098i	$-0.245970\pi$
$269$	14.5139	+	4.71586i	0.884929	+	0.287531i	0.168926	+	0.985629i	$0.445970\pi$
$270$	−1.99645	+	2.45238i	−0.121500	+	0.149247i
$271$	−15.8393	+	5.14649i	−0.962167	+	0.312627i	−0.747650	−	0.664093i	$-0.768818\pi$
$271$	−15.8393	+	5.14649i	−0.962167	+	0.312627i	−0.214517	+	0.976720i	$0.568818\pi$
$272$	9.90049	+	10.5430i	0.600305	+	0.639265i
$273$	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	−0.957136	−	0.289638i	$-0.906465\pi$
$277$	−2.26929	−	14.3277i	−0.136349	−	0.860871i	0.820788	−	0.571233i	$-0.193535\pi$
$278$	0.492973	−	2.96175i	0.0295665	−	0.177634i
$279$	2.08390	+	6.41357i	0.124760	+	0.383970i
$280$	12.1517	+	10.2141i	0.726202	+	0.610409i
$281$	0.523806	−	1.61211i	0.0312476	−	0.0961703i	−0.934216	−	0.356707i	$-0.883899\pi$
$281$	0.523806	−	1.61211i	0.0312476	−	0.0961703i	0.965464	+	0.260537i	$0.0838995\pi$
$282$	−11.8875	−	6.17510i	−0.707893	−	0.367722i
$283$	−1.89544	+	0.965777i	−0.112672	+	0.0574095i	−0.509418	−	0.860519i	$-0.670139\pi$
$283$	−1.89544	+	0.965777i	−0.112672	+	0.0574095i	0.396746	+	0.917928i	$0.370139\pi$
$284$	8.11690	−	23.7074i	0.481649	−	1.40677i
$285$	−3.26653	+	5.72717i	−0.193493	+	0.339248i
$286$	−2.01402	+	6.03675i	−0.119091	+	0.356961i
$287$	−4.61499	+	29.1379i	−0.272414	+	1.71996i
$288$	5.54815	+	1.10362i	0.326928	+	0.0650317i
$289$	−2.30797	+	3.17665i	−0.135763	+	0.186862i
$290$	−1.03019	+	1.77370i	−0.0604947	+	0.104155i
$291$	4.97032	+	6.84106i	0.291365	+	0.401030i
$292$	7.93497	−	14.9865i	0.464359	−	0.877017i
$293$	12.5122	−	12.5122i	0.730972	−	0.730972i	−0.239840	−	0.970812i	$-0.577095\pi$
$293$	12.5122	−	12.5122i	0.730972	−	0.730972i	0.970812	+	0.239840i	$0.0770951\pi$
$294$	−0.00777832	+	0.990227i	−0.000453641	+	0.0577512i
$295$	−12.7560	−	10.2190i	−0.742683	−	0.594971i
$296$	11.2420	+	3.94795i	0.653428	+	0.229470i
$297$	−0.449734	+	0.882653i	−0.0260962	+	0.0512167i
$298$	8.48005	−	4.23723i	0.491236	−	0.245456i
$299$	−36.3278			−2.10089
$300$	8.35834	+	5.48982i	0.482569	+	0.316955i
$301$	3.90848			0.225281
$302$	4.64153	−	2.31923i	0.267090	−	0.133457i
$303$	2.82361	−	5.54165i	0.162212	−	0.318360i
$304$	11.7885	+	0.370514i	0.676117	+	0.0212504i
$305$	0.978760	−	2.59041i	0.0560436	−	0.148326i
$306$	0.0401650	−	5.11325i	0.00229608	−	0.292305i
$307$	18.9220	−	18.9220i	1.07994	−	1.07994i	0.0834227	−	0.996514i	$-0.473415\pi$
$307$	18.9220	−	18.9220i	1.07994	−	1.07994i	0.996514	−	0.0834227i	$-0.0265852\pi$
$308$	4.39479	+	2.32693i	0.250417	+	0.132589i
$309$	−8.91119	−	12.2652i	−0.506940	−	0.697743i
$310$	19.5040	−	8.62319i	1.10775	−	0.489764i
$311$	−1.35781	+	1.86887i	−0.0769945	+	0.105974i	−0.845777	−	0.533536i	$-0.820863\pi$
$311$	−1.35781	+	1.86887i	−0.0769945	+	0.105974i	0.768783	+	0.639510i	$0.220863\pi$
$312$	−8.86844	−	9.29657i	−0.502076	−	0.526315i
$313$	−1.02291	+	6.45842i	−0.0578185	+	0.365052i	0.941767	+	0.336266i	$0.109164\pi$
$313$	−1.02291	+	6.45842i	−0.0578185	+	0.365052i	−0.999586	+	0.0287858i	$0.990836\pi$
$314$	7.86999	−	23.5892i	0.444129	−	1.33122i
$315$	−0.616012	−	5.57848i	−0.0347083	−	0.314312i
$316$	17.0672	+	5.84344i	0.960104	+	0.328719i
$317$	−17.7707	+	9.05465i	−0.998105	+	0.508560i	−0.875150	−	0.483853i	$-0.839237\pi$
$317$	−17.7707	+	9.05465i	−0.998105	+	0.508560i	−0.122955	+	0.992412i	$0.539237\pi$
$318$	−7.58970	−	3.94254i	−0.425609	−	0.221087i
$319$	−0.198560	+	0.611106i	−0.0111172	+	0.0342154i
$320$	1.68311	−	17.8092i	0.0940890	−	0.995564i
$321$	5.30431	+	16.3250i	0.296057	+	0.911171i
$322$	−4.66081	+	28.0018i	−0.259737	+	1.56048i
$323$	−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
$328$	29.9685	−	14.3906i	1.65473	−	0.794586i
$329$	22.6110	−	7.34677i	1.24659	−	0.405041i
$330$	2.92164	+	1.13022i	0.160831	+	0.0622164i
$331$	29.5081	+	9.58775i	1.62191	+	0.526990i	0.972392	−	0.233355i	$-0.0749705\pi$
$331$	29.5081	+	9.58775i	1.62191	+	0.526990i	0.649518	+	0.760346i	$0.274971\pi$
$332$	1.20999	−	6.93288i	0.0664071	−	0.380491i
$333$	−1.91249	−	3.75347i	−0.104804	−	0.205689i
$334$	−14.3154	+	19.3814i	−0.783303	+	1.06050i
$335$	9.70981	−	8.83569i	0.530503	−	0.482745i
$336$	−8.30370	+	5.64314i	−0.453004	+	0.307859i
$337$	−19.6994	−	3.12009i	−1.07310	−	0.169962i	−0.405209	−	0.914224i	$-0.632801\pi$
$337$	−19.6994	−	3.12009i	−1.07310	−	0.169962i	−0.667888	+	0.744262i	$0.732801\pi$
$338$	1.60516	+	10.6767i	0.0873094	+	0.580738i
$339$	−6.77872	−	4.92503i	−0.368169	−	0.267491i
$340$	−16.0982	+	1.52211i	−0.873048	+	0.0825478i
$341$	5.40456	−	3.92664i	0.292673	−	0.212640i
$342$	−2.92533	−	2.97165i	−0.158184	−	0.160689i
$343$	−13.6663	−	13.6663i	−0.737911	−	0.737911i
$344$	−2.50419	−	3.62328i	−0.135017	−	0.195354i
$345$	−0.841931	+	17.8626i	−0.0453280	+	0.961692i
$346$	12.3152	+	17.2335i	0.662068	+	0.926476i
$347$	−3.24564	−	1.65374i	−0.174235	−	0.0887772i	0.364698	−	0.931126i	$-0.381172\pi$
$347$	−3.24564	−	1.65374i	−0.174235	−	0.0887772i	−0.538933	+	0.842349i	$0.681172\pi$
$348$	−0.902787	−	0.931607i	−0.0483944	−	0.0499394i
$349$		−	24.4825i		−	1.31052i	−0.755405	−	0.655258i	$-0.772560\pi$
$349$		−	24.4825i		−	1.31052i	0.755405	−	0.655258i	$-0.227440\pi$
$350$	−17.3502	+	3.73629i	−0.927407	+	0.199713i
$351$			4.54251i			0.242461i
$352$	−0.658632	−	5.56498i	−0.0351052	−	0.296614i
$353$	14.7437	+	7.51230i	0.784729	+	0.399839i	0.799966	−	0.600045i	$-0.204851\pi$
$353$	14.7437	+	7.51230i	0.784729	+	0.399839i	−0.0152379	+	0.999884i	$0.504851\pi$
$354$	8.41042	−	6.01016i	0.447009	−	0.319436i
$355$	15.3821	+	23.4157i	0.816397	+	1.24278i
$356$	3.29520	+	10.7113i	0.174645	+	0.567697i
$357$	6.41716	+	6.41716i	0.339632	+	0.339632i
$358$	0.928207	−	0.913738i	0.0490573	−	0.0482926i
$359$	−6.02704	+	4.37890i	−0.318095	+	0.231109i	−0.735362	−	0.677674i	$-0.762988\pi$
$359$	−6.02704	+	4.37890i	−0.318095	+	0.231109i	0.417267	+	0.908784i	$0.362988\pi$
$360$	−4.77673	+	4.14522i	−0.251756	+	0.218472i
$361$	8.33761	+	6.05763i	0.438822	+	0.318823i
$362$	16.0690	−	2.41585i	0.844568	−	0.126974i
$363$	−9.89532	−	1.56726i	−0.519369	−	0.0822600i
$364$	22.8000	+	0.358215i	1.19505	+	0.0187756i
$365$	7.80238	+	17.2792i	0.408395	+	0.904434i
$366$	1.40875	+	1.04052i	0.0736368	+	0.0543891i
$367$	12.3376	+	24.2139i	0.644018	+	1.26396i	0.950098	+	0.311951i	$0.100982\pi$
$367$	12.3376	+	24.2139i	0.644018	+	1.26396i	−0.306080	+	0.952006i	$0.599018\pi$
$368$	28.9447	−	13.6202i	1.50885	−	0.710002i
$369$	−11.1785	−	3.63210i	−0.581927	−	0.189080i
$370$	−11.1911	+	7.22638i	−0.581797	+	0.375682i
$371$	14.4362	−	4.69060i	0.749490	−	0.243524i
$372$	1.90035	+	13.3527i	0.0985283	+	0.692306i
$373$	1.04989	−	0.166286i	0.0543613	−	0.00860998i	−0.129195	−	0.991619i	$-0.541239\pi$
$373$	1.04989	−	0.166286i	0.0543613	−	0.00860998i	0.183556	+	0.983009i	$0.441239\pi$
$374$	−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
$378$	3.50142	+	0.582799i	0.180093	+	0.0299759i
$379$	−5.91385	−	18.2010i	−0.303774	−	0.934921i	−0.980132	−	0.198347i	$-0.936443\pi$
$379$	−5.91385	−	18.2010i	−0.303774	−	0.934921i	0.676358	−	0.736573i	$-0.263557\pi$
$380$	−8.40513	+	10.1605i	−0.431174	+	0.521225i
$381$	−5.13196	+	15.7946i	−0.262919	+	0.809180i
$382$	−13.8044	+	26.5745i	−0.706293	+	1.35967i
$383$	−18.3322	+	9.34072i	−0.936731	+	0.477289i	−0.854573	−	0.519331i	$-0.826181\pi$
$383$	−18.3322	+	9.34072i	−0.936731	+	0.477289i	−0.0821581	+	0.996619i	$0.526181\pi$
$384$	10.5516	+	4.08218i	0.538458	+	0.208318i
$385$	−5.06714	+	2.28805i	−0.258245	+	0.116610i
$386$	−19.8160	−	6.61115i	−1.00861	−	0.336499i
$387$	−0.243600	+	1.53803i	−0.0123829	+	0.0781826i
$388$	7.44024	+	15.1875i	0.377721	+	0.771028i
$389$	−7.78730	+	10.7183i	−0.394832	+	0.543439i	−0.959438	−	0.281921i	$-0.909028\pi$
$389$	−7.78730	+	10.7183i	−0.394832	+	0.543439i	0.564606	+	0.825361i	$0.309028\pi$
$390$	14.2898	−	1.46446i	0.723594	−	0.0741558i
$391$	−16.9964	−	23.3935i	−0.859543	−	1.18306i
$392$	−0.355826	+	1.94829i	−0.0179719	+	0.0984034i
$393$	−10.6932	+	10.6932i	−0.539398	+	0.539398i
$394$	30.4773	+	0.239402i	1.53542	+	0.0120609i
$395$	−16.8572	+	11.0737i	−0.848178	+	0.557180i
$396$	−1.18959	+	1.58437i	−0.0597789	+	0.0796177i
$397$	5.75681	−	11.2984i	0.288926	−	0.567049i	−0.700230	−	0.713917i	$-0.746919\pi$
$397$	5.75681	−	11.2984i	0.288926	−	0.567049i	0.989156	+	0.146868i	$0.0469193\pi$
$398$	6.81813	+	13.6453i	0.341762	+	0.683975i
$399$	7.40076			0.370501
$400$	14.5800	+	13.6903i	0.729000	+	0.684513i
$401$	15.1445			0.756281			0.378141	−	0.925748i	$-0.376564\pi$
$401$	15.1445			0.756281			0.378141	+	0.925748i	$0.376564\pi$
$402$	3.71126	+	7.42741i	0.185101	+	0.370446i
$403$	13.9071	−	27.2942i	0.692762	−	1.35962i
$404$	7.46870	−	9.94733i	0.371581	−	0.494898i
$405$	2.23359	+	0.105277i	0.110988	+	0.00523126i
$406$	2.30232	+	0.0180849i	0.114262	+	0.000897540i
$407$	−2.95084	+	2.95084i	−0.146268	+	0.146268i
$408$	1.83738	−	10.0604i	0.0909641	−	0.498064i
$409$	−15.2785	−	21.0290i	−0.755471	−	1.03982i	−0.997577	−	0.0695670i	$-0.977838\pi$
$409$	−15.2785	−	21.0290i	−0.755471	−	1.03982i	0.242106	−	0.970250i	$-0.422162\pi$
$410$	−7.82205	+	36.3361i	−0.386303	+	1.79451i
$411$	4.79150	−	6.59493i	0.236347	−	0.325304i
$412$	−13.3394	−	27.2293i	−0.657187	−	1.34149i
$413$	−2.87000	+	18.1205i	−0.141223	+	0.891650i
$414$	−10.7285	−	3.57932i	−0.527279	−	0.175914i
$415$	5.29565	+	5.81955i	0.259953	+	0.285671i
$416$	−14.2760	−	21.3658i	−0.699939	−	1.04754i
$417$	−1.89168	+	0.963860i	−0.0926361	+	0.0472004i
$418$	−1.90421	+	3.66575i	−0.0931380	+	0.179298i
$419$	−7.45434	+	22.9421i	−0.364168	+	1.12079i	0.586332	+	0.810071i	$0.300571\pi$
$419$	−7.45434	+	22.9421i	−0.364168	+	1.12079i	−0.950500	+	0.310724i	$0.899429\pi$
$420$	0.704549	−	11.2026i	0.0343785	−	0.546633i
$421$	−5.40899	−	16.6472i	−0.263618	−	0.811334i	−0.992009	−	0.126171i	$-0.959731\pi$
$421$	−5.40899	−	16.6472i	−0.263618	−	0.811334i	0.728390	−	0.685162i	$-0.240269\pi$
$422$	31.5247	+	5.24718i	1.53460	+	0.255429i
$423$	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
$428$	4.83710	+	33.9877i	0.233810	+	1.64286i
$429$	4.27968	−	1.39055i	0.206625	−	0.0671366i
$430$	4.91688	+	0.270473i	0.237113	+	0.0130434i
$431$	34.6020	+	11.2429i	1.66672	+	0.541550i	0.982264	−	0.187505i	$-0.0600400\pi$
$431$	34.6020	+	11.2429i	1.66672	+	0.541550i	0.684455	+	0.729055i	$0.260040\pi$
$432$	−1.70310	−	3.61931i	−0.0819406	−	0.174134i
$433$	−16.2768	−	31.9450i	−0.782213	−	1.53518i	−0.843542	−	0.537062i	$-0.819534\pi$
$433$	−16.2768	−	31.9450i	−0.782213	−	1.53518i	0.0613291	−	0.998118i	$-0.480466\pi$
$434$	−19.2544	−	14.2215i	−0.924241	−	0.682656i
$435$	1.44163	−	0.159194i	0.0691209	−	0.00763278i
$436$	−33.2640	−	0.522616i	−1.59306	−	0.0250287i
$437$	−23.2903	−	3.68883i	−1.11413	−	0.176460i
$438$	−11.8575	+	1.78269i	−0.566575	+	0.0851802i
$439$	13.0760	+	9.50025i	0.624082	+	0.453422i	0.854345	−	0.519706i	$-0.173959\pi$
$439$	13.0760	+	9.50025i	0.624082	+	0.453422i	−0.230263	+	0.973128i	$0.573959\pi$
$440$	5.36763	+	3.23141i	0.255892	+	0.154052i
$441$	0.566488	−	0.411578i	0.0269756	−	0.0195989i
$442$	−16.5530	+	16.2949i	−0.787345	+	0.775072i
$443$	3.16889	+	3.16889i	0.150559	+	0.150559i	0.778367	−	0.627809i	$-0.216048\pi$
$443$	3.16889	+	3.16889i	0.150559	+	0.150559i	−0.627809	+	0.778367i	$0.716048\pi$
$444$	−2.47734	−	8.05278i	−0.117569	−	0.382168i
$445$	−11.7207	−	4.42855i	−0.555615	−	0.209934i
$446$	0.392255	−	0.280309i	0.0185738	−	0.0132730i
$447$	−5.97258	−	3.04318i	−0.282493	−	0.143938i
$448$	−18.3006	+	8.26290i	−0.864620	+	0.390385i
$449$			32.0207i			1.51115i	0.655062	+	0.755575i	$0.272642\pi$
$449$			32.0207i			1.51115i	−0.655062	+	0.755575i	$0.727358\pi$
$450$	−0.388905	−	7.06036i	−0.0183331	−	0.332829i
$451$			11.6435i			0.548272i
$452$	−11.6620	−	12.0343i	−0.548536	−	0.566047i
$453$	−3.26907	−	1.66567i	−0.153594	−	0.0782602i
$454$	−12.4793	−	17.4630i	−0.585680	−	0.819581i
$455$	−15.9397	+	19.8970i	−0.747263	+	0.932784i
$456$	−4.74170	−	6.86071i	−0.222051	−	0.321282i
$457$	16.1908	+	16.1908i	0.757374	+	0.757374i	0.975844	−	0.218469i	$-0.0701064\pi$
$457$	16.1908	+	16.1908i	0.757374	+	0.757374i	−0.218469	+	0.975844i	$0.570106\pi$
$458$	−18.5906	−	18.8850i	−0.868684	−	0.882439i
$459$	−2.92518	+	2.12527i	−0.136536	+	0.0991990i
$460$	−7.80107	+	34.9038i	−0.363727	+	1.62740i
$461$	−9.97154	−	7.24475i	−0.464421	−	0.337421i	0.330842	−	0.943686i	$-0.392667\pi$
$461$	−9.97154	−	7.24475i	−0.464421	−	0.337421i	−0.795263	+	0.606265i	$0.792667\pi$
$462$	−0.522775	−	3.47723i	−0.0243217	−	0.161775i
$463$	32.1267	+	5.08837i	1.49306	+	0.236477i	0.848955	−	0.528464i	$-0.177232\pi$
$463$	32.1267	+	5.08837i	1.49306	+	0.236477i	0.644100	+	0.764941i	$0.277232\pi$
$464$	−1.45834	−	2.14590i	−0.0677018	−	0.0996211i
$465$	−13.0985	−	7.47080i	−0.607427	−	0.346450i
$466$	16.2647	−	22.0206i	0.753448	−	1.02008i
$467$	−0.752525	−	1.47691i	−0.0348227	−	0.0683434i	0.872940	−	0.487828i	$-0.162211\pi$
$467$	−0.752525	−	1.47691i	−0.0348227	−	0.0683434i	−0.907762	+	0.419485i	$0.862211\pi$
$468$	−1.56200	+	8.94974i	−0.0722034	+	0.413702i
$469$	−14.0149	−	4.55371i	−0.647147	−	0.210271i
$470$	28.9531	−	7.67753i	1.33551	−	0.354138i
$471$	−16.7233	+	5.43373i	−0.770570	+	0.250373i
$472$	18.6370	−	8.94930i	0.857838	−	0.411925i
$473$	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
$478$	0.186253	−	1.11900i	0.00851903	−	0.0511817i
$479$	0.416357	+	1.28141i	0.0190238	+	0.0585493i	0.960118	−	0.279596i	$-0.0902005\pi$
$479$	0.416357	+	1.28141i	0.0190238	+	0.0585493i	−0.941094	+	0.338145i	$0.890200\pi$
$480$	−10.8366	+	6.52445i	−0.494620	+	0.297799i
$481$	−5.91331	+	18.1993i	−0.269624	+	0.829816i
$482$	15.9290	+	8.27448i	0.725547	+	0.376892i
$483$	17.8849	−	9.11280i	0.813790	−	0.414647i
$484$	−18.9570	−	6.49047i	−0.861682	−	0.295022i
$485$	−18.5155	−	3.83388i	−0.840744	−	0.174088i
$486$	−0.447567	+	1.34152i	−0.0203021	+	0.0608527i
$487$	−5.18153	+	32.7149i	−0.234798	+	1.48245i	0.535373	+	0.844616i	$0.320171\pi$
$487$	−5.18153	+	32.7149i	−0.234798	+	1.48245i	−0.770171	+	0.637838i	$0.779829\pi$
$488$	2.41776	+	2.53448i	0.109447	+	0.114730i
$489$	−5.41124	+	7.44793i	−0.244705	+	0.336807i
$490$	−1.47737	−	1.64937i	−0.0667408	−	0.0745110i
$491$	1.80230	+	2.48065i	0.0813366	+	0.111950i	0.847747	−	0.530402i	$-0.177959\pi$
$491$	1.80230	+	2.48065i	0.0813366	+	0.111950i	−0.766410	+	0.642352i	$0.777959\pi$
$492$	−20.7751	−	10.9999i	−0.936612	−	0.495913i
$493$	−1.65837	+	1.65837i	−0.0746892	+	0.0746892i
$494$	−0.148786	+	18.9414i	−0.00669421	+	0.852212i
$495$	−0.584560	−	2.13658i	−0.0262740	−	0.0960321i
$496$	−0.847392	+	26.9612i	−0.0380490	+	1.21059i
$497$	14.2769	−	28.0199i	0.640405	−	1.25687i
$498$	−4.45160	+	2.22434i	−0.199481	+	0.0996749i
$499$	38.2306			1.71144			0.855718	−	0.517443i	$-0.173116\pi$
$499$	38.2306			1.71144			0.855718	+	0.517443i	$0.173116\pi$
$500$	−22.0851	+	3.49960i	−0.987677	+	0.156507i
$501$	17.0378			0.761191
$502$	6.39801	−	3.19690i	0.285557	−	0.142685i
$503$	14.4347	−	28.3298i	0.643613	−	1.26316i	−0.306682	−	0.951812i	$-0.599219\pi$
$503$	14.4347	−	28.3298i	0.643613	−	1.26316i	0.950295	−	0.311350i	$-0.100781\pi$
$504$	6.69815	+	2.35224i	0.298359	+	0.104777i
$505$	3.67010	+	13.4143i	0.163317	+	0.596929i
$506$	−0.0880044	+	11.2035i	−0.00391227	+	0.498056i
$507$	5.39836	−	5.39836i	0.239750	−	0.239750i
$508$	−15.5422	+	29.3540i	−0.689575	+	1.30238i
$509$	0.131687	+	0.181251i	0.00583691	+	0.00803381i	0.811925	−	0.583761i	$-0.198420\pi$
$509$	0.131687	+	0.181251i	0.00583691	+	0.00803381i	−0.806089	+	0.591795i	$0.798420\pi$
$510$	7.62872	+	8.51687i	0.337805	+	0.377133i
$511$	12.5088	−	17.2168i	0.553355	−	0.761628i
$512$	19.3852	+	11.6711i	0.856713	+	0.515793i
$513$	−0.461260	+	2.91228i	−0.0203651	+	0.128580i
$514$	−3.54008	+	10.6109i	−0.156146	+	0.468028i
$515$	33.1960	+	6.87369i	1.46279	+	0.302891i
$516$	−1.00882	+	2.94649i	−0.0444107	+	0.129712i
$517$	8.36068	−	4.25998i	0.367702	−	0.187354i
$518$	13.2695	+	6.89298i	0.583029	+	0.302860i
$519$	4.62833	−	14.2445i	0.203161	−	0.625265i
$520$	28.6577	+	2.02843i	1.25672	+	0.0889526i
$521$	−2.36876	−	7.29029i	−0.103777	−	0.319393i	0.885664	−	0.464326i	$-0.153703\pi$
$521$	−2.36876	−	7.29029i	−0.103777	−	0.319393i	−0.989441	+	0.144933i	$0.953703\pi$
$522$	−0.150611	+	0.904861i	−0.00659207	+	0.0396047i
$523$	−2.40963	−	15.2138i	−0.105366	−	0.665253i	−0.982676	−	0.185330i	$-0.940665\pi$
$523$	−2.40963	−	15.2138i	−0.105366	−	0.665253i	0.877311	−	0.479923i	$-0.159335\pi$
$524$	−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
$528$	−2.88855	+	2.71251i	−0.125708	+	0.118047i
$529$	−38.9519	+	12.6563i	−1.69356	+	0.550272i
$530$	18.4853	−	4.90178i	0.802952	−	0.212920i
$531$	−6.95173	−	2.25875i	−0.301679	−	0.0980216i
$532$	14.5811	+	2.54484i	0.632171	+	0.110333i
$533$	24.2392	+	47.5721i	1.04992	+	2.06058i
$534$	4.70801	−	6.37413i	0.203736	−	0.275836i
$535$	−33.3406	−	19.0160i	−1.44144	−	0.822134i
$536$	4.75799	+	15.9098i	0.205514	+	0.687198i
$537$	−0.909662	−	0.144076i	−0.0392548	−	0.00621735i
$538$	−3.20864	−	21.3422i	−0.138334	−	0.920129i
$539$	−0.561177	−	0.407719i	−0.0241716	−	0.0175617i
$540$	4.36446	+	0.975465i	0.187816	+	0.0419773i
$541$	−0.252310	+	0.183314i	−0.0108476	+	0.00788127i	−0.593196	−	0.805058i	$-0.702134\pi$
$541$	−0.252310	+	0.183314i	−0.0108476	+	0.00788127i	0.582348	+	0.812939i	$0.302134\pi$
$542$	16.5231	+	16.7847i	0.709726	+	0.720964i
$543$	−8.12480	−	8.12480i	−0.348668	−	0.348668i
$544$	7.07944	−	19.1894i	0.303528	−	0.822737i
$545$	23.2551	−	29.0286i	0.996138	−	1.24345i
$546$	−9.37472	−	13.1187i	−0.401201	−	0.561427i
$547$	−34.1386	−	17.3945i	−1.45966	−	0.743735i	−0.469405	−	0.882983i	$-0.655532\pi$
$547$	−34.1386	−	17.3945i	−1.45966	−	0.743735i	−0.990258	+	0.139248i	$0.955532\pi$
$548$	11.7080	−	11.3458i	0.500143	−	0.484670i
$549$		−	1.23840i		−	0.0528537i
$550$	−6.53280	+	2.52772i	−0.278560	+	0.107782i
$551$			1.91256i			0.0814777i
$552$	−19.9068	−	10.7412i	−0.847288	−	0.457175i
$553$	20.1718	+	10.2781i	0.857794	+	0.437068i
$554$	−16.6912	+	11.9277i	−0.709143	+	0.506760i
$555$	8.81168	+	3.32940i	0.374035	+	0.141325i
$556$	−4.05846	+	1.24854i	−0.172117	+	0.0529498i
$557$	10.7978	+	10.7978i	0.457518	+	0.457518i	0.897840	−	0.440322i	$-0.145136\pi$
$557$	10.7978	+	10.7978i	0.457518	+	0.457518i	−0.440322	+	0.897840i	$0.645136\pi$
$558$	6.79639	−	6.69045i	0.287714	−	0.283229i
$559$	5.72268	−	4.15777i	0.242044	−	0.175855i
$560$	5.24028	−	21.8294i	0.221442	−	0.922460i
$561$	2.89776	+	2.10534i	0.122343	+	0.0888876i
$562$	−2.37055	+	0.356394i	−0.0999957	+	0.0150336i
$563$	−19.0254	−	3.01333i	−0.801826	−	0.126997i	−0.257946	−	0.966159i	$-0.583046\pi$
$563$	−19.0254	−	3.01333i	−0.801826	−	0.126997i	−0.543881	+	0.839163i	$0.683046\pi$
$564$	−0.297602	+	18.9421i	−0.0125313	+	0.797606i
$565$	18.6227	−	2.05644i	0.783464	−	0.0865151i
$566$	2.41993	+	1.78739i	0.101717	+	0.0751298i
$567$	−1.13949	−	2.23637i	−0.0478540	−	0.0939187i
$568$	−35.1225	+	4.71745i	−1.47371	+	0.197940i
$569$	15.7909	+	5.13076i	0.661987	+	0.215093i	0.620692	−	0.784054i	$-0.286852\pi$
$569$	15.7909	+	5.13076i	0.661987	+	0.215093i	0.0412948	+	0.999147i	$0.486852\pi$
$570$	9.31016	+	0.512143i	0.389960	+	0.0214513i
$571$	18.7027	−	6.07687i	0.782683	−	0.254309i	0.109698	−	0.993965i	$-0.465012\pi$
$571$	18.7027	−	6.07687i	0.782683	−	0.254309i	0.672985	+	0.739656i	$0.265012\pi$
$572$	8.91007	−	1.26807i	0.372549	−	0.0530208i
$573$	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	0.998299	+	0.0583078i	$0.0185705\pi$
$577$	1.60647	+	10.1429i	0.0668783	+	0.422253i	−0.931420	+	0.363945i	$0.881430\pi$
$578$	5.47763	+	0.911732i	0.227839	+	0.0379231i
$579$	4.56458	+	14.0483i	0.189698	+	0.583829i
$580$	2.89507	+	0.182075i	0.120211	+	0.00756024i
$581$	2.72926	−	8.39979i	0.113229	−	0.348482i
$582$	5.51262	−	10.6122i	0.228506	−	0.439891i
$583$	5.33794	−	2.71982i	0.221075	−	0.112643i
$584$	−23.9749	−	0.565069i	−0.992089	−	0.0233827i
$585$	−6.83623	−	7.51253i	−0.282643	−	0.310605i
$586$	−23.7382	−	7.91968i	−0.980616	−	0.327159i
$587$	−0.441412	+	2.78696i	−0.0182190	+	0.115030i	−0.995122	−	0.0986539i	$-0.968546\pi$
$587$	−0.441412	+	2.78696i	−0.0182190	+	0.115030i	0.976903	+	0.213684i	$0.0685463\pi$
$588$	1.25763	−	0.616104i	0.0518638	−	0.0254077i
$589$	11.6876	−	16.0866i	0.481579	−	0.662837i
$590$	−4.86443	+	22.5970i	−0.200265	+	0.930302i
$591$	−12.6676	−	17.4354i	−0.521075	−	0.717198i
$592$	−2.11186	−	16.7176i	−0.0867969	−	0.687089i
$593$	−25.1359	+	25.1359i	−1.03221	+	1.03221i	−0.0327451	+	0.999464i	$0.510425\pi$
$593$	−25.1359	+	25.1359i	−1.03221	+	1.03221i	−0.999464	+	0.0327451i	$0.989575\pi$
$594$	1.40091	+	0.0110043i	0.0574801	+	0.000451511i
$595$	−20.2703	−	0.955414i	−0.831003	−	0.0391682i
$596$	−10.7209	−	8.04947i	−0.439143	−	0.329719i
$597$	4.89679	−	9.61048i	0.200412	−	0.393331i
$598$	22.9636	+	45.9574i	0.939051	+	1.87934i
$599$	37.4833			1.53153			0.765763	−	0.643123i	$-0.222362\pi$
$599$	37.4833			1.53153			0.765763	+	0.643123i	$0.222362\pi$
$600$	1.66156	−	14.0442i	0.0678331	−	0.573352i
$601$	6.04452			0.246561			0.123280	−	0.992372i	$-0.460659\pi$
$601$	6.04452			0.246561			0.123280	+	0.992372i	$0.460659\pi$
$602$	−2.47064	−	4.94454i	−0.100696	−	0.201524i
$603$	2.66543	−	5.23120i	0.108545	−	0.213031i
$604$	−5.86802	−	4.40585i	−0.238766	−	0.179272i
$605$	18.7238	−	12.2999i	0.761230	−	0.500062i
$606$	−8.79549	−	0.0690894i	−0.357292	−	0.00280656i
$607$	−15.4953	+	15.4953i	−0.628933	+	0.628933i	−0.947800	−	0.318866i	$-0.896698\pi$
$607$	−15.4953	+	15.4953i	−0.628933	+	0.628933i	0.318866	+	0.947800i	$0.396698\pi$
$608$	−6.98305	−	15.1476i	−0.283200	−	0.614316i
$609$	−0.956935	−	1.31711i	−0.0387770	−	0.0533719i
$610$	−3.89577	+	0.399248i	−0.157735	+	0.0161651i
$611$	25.2910	−	34.8101i	1.02317	−	1.40827i
$612$	−6.49404	+	3.18138i	−0.262506	+	0.128600i
$613$	−1.58245	+	9.99119i	−0.0639145	+	0.403540i	0.934902	+	0.354906i	$0.115487\pi$
$613$	−1.58245	+	9.99119i	−0.0639145	+	0.403540i	−0.998817	+	0.0486348i	$0.984513\pi$
$614$	−35.8989	−	11.9768i	−1.44876	−	0.483344i
$615$	23.9533	−	10.8161i	0.965892	−	0.436146i
$616$	0.165707	−	7.03066i	0.00667652	−	0.283273i
$617$	4.47285	−	2.27903i	0.180070	−	0.0917504i	−0.361632	−	0.932321i	$-0.617780\pi$
$617$	4.47285	−	2.27903i	0.180070	−	0.0917504i	0.541702	+	0.840571i	$0.317780\pi$
$618$	−9.88347	+	19.0264i	−0.397571	+	0.765356i
$619$	−6.25004	+	19.2356i	−0.251210	+	0.773146i	0.743342	+	0.668911i	$0.233239\pi$
$619$	−6.25004	+	19.2356i	−0.251210	+	0.773146i	−0.994553	+	0.104235i	$0.966761\pi$
$620$	−23.2379	−	19.2232i	−0.933257	−	0.772021i
$621$	2.47130	+	7.60587i	0.0991697	+	0.305213i
$622$	3.22257	+	0.536385i	0.129213	+	0.0215071i
$623$	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
$628$	−34.8170	+	4.95513i	−1.38935	+	0.197731i
$629$	−14.4862	+	4.70684i	−0.577601	+	0.187674i
$630$	−6.66782	+	4.30558i	−0.265652	+	0.171539i
$631$	29.5030	+	9.58611i	1.17450	+	0.381617i	0.830319	−	0.557288i	$-0.188158\pi$
$631$	29.5030	+	9.58611i	1.17450	+	0.381617i	0.344177	+	0.938905i	$0.388158\pi$
$632$	−3.39614	−	25.2851i	−0.135091	−	1.00579i
$633$	−10.2593	−	20.1350i	−0.407770	−	0.800293i
$634$	22.6881	+	16.7577i	0.901060	+	0.665535i
$635$	−15.2825	−	33.8448i	−0.606469	−	1.34309i
$636$	−0.190006	+	12.0937i	−0.00753424	+	0.479547i
$637$	−3.14159	−	0.497579i	−0.124474	−	0.0197148i
$638$	0.898611	−	0.135099i	0.0355764	−	0.00534863i
$639$	10.1363	+	7.36448i	0.400987	+	0.291334i
$640$	−23.5939	+	9.12831i	−0.932632	+	0.360828i
$641$	7.01361	−	5.09569i	0.277021	−	0.201267i	−0.440596	−	0.897705i	$-0.645233\pi$
$641$	7.01361	−	5.09569i	0.277021	−	0.201267i	0.717617	+	0.696438i	$0.245233\pi$
$642$	17.2994	−	17.0297i	0.682753	−	0.672110i
$643$	−19.1482	−	19.1482i	−0.755130	−	0.755130i	0.220302	−	0.975432i	$-0.429296\pi$
$643$	−19.1482	−	19.1482i	−0.755130	−	0.755130i	−0.975432	+	0.220302i	$0.929296\pi$
$644$	38.3707	−	11.8043i	1.51202	−	0.465154i
$645$	−1.91178	−	2.91024i	−0.0752762	−	0.114591i
$646$	−12.2670	+	8.76613i	−0.482640	+	0.344899i
$647$	−40.2378	−	20.5022i	−1.58191	−	0.806023i	−0.581936	−	0.813235i	$-0.697705\pi$
$647$	−40.2378	−	20.5022i	−1.58191	−	0.806023i	−0.999974	+	0.00721134i	$0.997705\pi$
$648$	−1.34310	+	2.48919i	−0.0527621	+	0.0977847i
$649$			7.24095i			0.284232i
$650$	−21.4290	+	23.9274i	−0.840515	+	0.938509i
$651$			16.9261i			0.663385i
$652$	−13.2224	+	12.8133i	−0.517828	+	0.501809i
$653$	−15.4764	−	7.88563i	−0.605639	−	0.308588i	0.124147	−	0.992264i	$-0.460380\pi$
$653$	−15.4764	−	7.88563i	−0.605639	−	0.308588i	−0.729786	+	0.683675i	$0.760380\pi$
$654$	13.6772	+	19.1394i	0.534821	+	0.748410i
$655$	1.59204	−	33.7772i	0.0622063	−	1.31979i
$656$	−37.1489	−	28.8159i	−1.45042	−	1.12507i
$657$	5.99540	+	5.99540i	0.233903	+	0.233903i
$658$	−23.5872	−	23.9607i	−0.919524	−	0.934084i
$659$	6.41486	−	4.66067i	0.249888	−	0.181554i	−0.455789	−	0.890088i	$-0.650643\pi$
$659$	6.41486	−	4.66067i	0.249888	−	0.181554i	0.705677	+	0.708534i	$0.250643\pi$
$660$	−0.417022	−	4.41054i	−0.0162326	−	0.171680i
$661$	37.5286	+	27.2661i	1.45969	+	1.06053i	0.983443	+	0.181217i	$0.0580037\pi$
$661$	37.5286	+	27.2661i	1.45969	+	1.06053i	0.476248	+	0.879311i	$0.341996\pi$
$662$	−6.52345	−	43.3906i	−0.253541	−	1.68642i
$663$	16.2223	+	2.56935i	0.630020	+	0.0997854i
$664$	−9.53550	+	2.85169i	−0.370049	+	0.110667i
$665$	−12.2396	+	11.1377i	−0.474630	+	0.431902i
$666$	−3.53950	+	4.79209i	−0.137153	+	0.185690i
$667$	2.35500	+	4.62194i	0.0911858	+	0.178962i
$668$	33.5681	+	5.85863i	1.29879	+	0.226677i
$669$	−0.324223	−	0.105346i	−0.0125352	−	0.00407293i
$670$	−17.3156	−	6.69843i	−0.668961	−	0.258783i
$671$	−1.16675	+	0.379099i	−0.0450418	+	0.0146350i
$672$	12.3880	+	6.93767i	0.477876	+	0.267627i
$673$	21.4521	−	3.39769i	0.826919	−	0.130971i	0.271391	−	0.962469i	$-0.412516\pi$
$673$	21.4521	−	3.39769i	0.826919	−	0.130971i	0.555528	+	0.831498i	$0.312516\pi$
$674$	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	0.997766	−	0.0668060i	$-0.0212808\pi$
$677$	0.733481	+	4.63102i	0.0281900	+	0.177984i	−0.969576	+	0.244790i	$0.921281\pi$
$678$	−1.94557	+	11.6888i	−0.0747190	+	0.448907i
$679$	6.55860	+	20.1853i	0.251696	+	0.774640i
$680$	12.1016	+	19.4033i	0.464076	+	0.744083i
$681$	−4.68999	+	14.4343i	−0.179721	+	0.553123i
$682$	−8.38385	−	4.35507i	−0.321034	−	0.166764i
$683$	−26.7626	+	13.6362i	−1.02404	+	0.521775i	−0.883565	−	0.468309i	$-0.844863\pi$
$683$	−26.7626	+	13.6362i	−1.02404	+	0.521775i	−0.140476	+	0.990084i	$0.544863\pi$
$684$	−1.91021	+	5.57922i	−0.0730385	+	0.213327i
$685$	2.00069	+	18.1178i	0.0764423	+	0.692246i
$686$	−8.65016	+	25.9277i	−0.330265	+	0.989924i
$687$	−2.93133	+	18.5077i	−0.111837	+	0.706113i
$688$	−3.00078	+	5.45834i	−0.114403	+	0.208097i
$689$	16.1472	−	22.2248i	0.615161	−	0.846697i
$690$	23.1298	−	10.2263i	0.880537	−	0.389307i
$691$	−3.45831	−	4.75996i	−0.131560	−	0.181077i	0.738155	−	0.674632i	$-0.235697\pi$
$691$	−3.45831	−	4.75996i	−0.131560	−	0.181077i	−0.869715	+	0.493554i	$0.835697\pi$
$692$	14.0170	−	26.4733i	0.532845	−	1.00636i
$693$	−1.75815	+	1.75815i	−0.0667867	+	0.0667867i
$694$	−0.0404643	+	5.15135i	−0.00153600	+	0.195543i
$695$	1.67796	−	4.44093i	0.0636487	−	0.168454i
$696$	−0.607884	+	1.73098i	−0.0230418	+	0.0656128i
$697$	−19.2938	+	37.8662i	−0.730804	+	1.43428i
$698$	−30.9722	+	15.4759i	−1.17232	+	0.585772i
$699$	−19.3578			−0.732179
$700$	15.6941	+	19.5876i	0.593183	+	0.740340i
$701$	−32.3819			−1.22305			−0.611524	−	0.791226i	$-0.709443\pi$
$701$	−32.3819			−1.22305			−0.611524	+	0.791226i	$0.709443\pi$
$702$	5.74663	−	2.87142i	0.216893	−	0.108375i
$703$	−5.63913	+	11.0674i	−0.212684	+	0.417415i
$704$	−6.62380	+	4.35097i	−0.249644	+	0.163983i
$705$	−16.5302	−	13.2425i	−0.622565	−	0.498743i
$706$	0.183814	−	23.4006i	0.00691793	−	0.880694i
$707$	11.0384	−	11.0384i	0.415142	−	0.415142i
$708$	−12.9197	−	6.84068i	−0.485553	−	0.257088i
$709$	16.8589	+	23.2043i	0.633149	+	0.871454i	0.998227	−	0.0595224i	$-0.0189578\pi$
$709$	16.8589	+	23.2043i	0.633149	+	0.871454i	−0.365078	+	0.930977i	$0.618958\pi$
$710$	19.8993	−	34.2611i	0.746809	−	1.28580i
$711$	−5.30176	+	7.29725i	−0.198832	+	0.273668i
$712$	11.4676	−	10.9395i	0.429768	−	0.409976i
$713$	8.43662	−	53.2667i	0.315954	−	1.99485i
$714$	4.06178	−	12.1746i	0.152008	−	0.455624i
$715$	−4.98515	+	8.74042i	−0.186434	+	0.326873i
$716$	−1.74269	−	0.596660i	−0.0651274	−	0.0222982i
$717$	−0.714708	+	0.364162i	−0.0266913	+	0.0135999i
$718$	9.34947	+	4.85667i	0.348919	+	0.181249i
$719$	−3.24857	+	9.99806i	−0.121151	+	0.372865i	−0.993180	−	0.116589i	$-0.962804\pi$
$719$	−3.24857	+	9.99806i	−0.121151	+	0.372865i	0.872029	+	0.489454i	$0.162804\pi$
$720$	8.26350	+	3.42265i	0.307963	+	0.127555i
$721$	−11.7588	−	36.1898i	−0.437920	−	1.34778i
$722$	2.39299	−	14.3769i	0.0890577	−	0.535053i
$723$	−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	$-0.666294\pi$
$727$	−19.0292	+	3.01393i	−0.705755	+	0.111781i	−0.206768	+	0.978390i	$0.566294\pi$
$728$	−13.9592	−	29.0702i	−0.517364	−	1.07742i
$729$	0.951057	−	0.309017i	0.0352243	−	0.0114451i
$730$	16.9275	−	20.7932i	0.626514	−	0.769590i
$731$	5.35484	+	1.73989i	0.198056	+	0.0643523i
$732$	0.425839	−	2.43992i	0.0157395	−	0.0901821i
$733$	−16.7661	−	32.9054i	−0.619271	−	1.21539i	−0.961250	−	0.275680i	$-0.911097\pi$
$733$	−16.7661	−	32.9054i	−0.619271	−	1.21539i	0.341979	−	0.939708i	$-0.388903\pi$
$734$	22.8336	−	30.9142i	0.842804	−	1.14106i
$735$	−0.317473	+	1.53321i	−0.0117102	+	0.0565533i
$736$	−35.5272	−	28.0076i	−1.30955	−	1.03238i
$737$	−5.74446	−	0.909833i	−0.211600	−	0.0335141i
$738$	2.47126	+	16.4375i	0.0909683	+	0.605074i
$739$	0.146989	+	0.106794i	0.00540707	+	0.00392846i	0.590486	−	0.807048i	$-0.298936\pi$
$739$	0.146989	+	0.106794i	0.00540707	+	0.00392846i	−0.585078	+	0.810977i	$0.698936\pi$
$740$	16.2161	+	9.58965i	0.596115	+	0.352523i
$741$	10.8360	−	7.87278i	0.398069	−	0.289214i
$742$	−15.0594	−	15.2979i	−0.552848	−	0.561603i
$743$	14.3370	+	14.3370i	0.525973	+	0.525973i	0.919369	−	0.393396i	$-0.128700\pi$
$743$	14.3370	+	14.3370i	0.525973	+	0.525973i	−0.393396	+	0.919369i	$0.628700\pi$
$744$	15.6910	−	10.8446i	0.575259	−	0.397583i
$745$	14.4574	−	3.95550i	0.529679	−	0.144918i
$746$	−0.874024	−	1.22308i	−0.0320003	−	0.0447801i
$747$	3.13531	+	1.59752i	0.114715	+	0.0584502i
$748$	4.98526	+	5.14441i	0.182279	+	0.188098i
$749$			43.0833i			1.57423i
$750$	11.2686	+	11.0913i	0.411472	+	0.404999i
$751$		−	12.5620i		−	0.458394i	−0.973380	−	0.229197i	$-0.926390\pi$
$751$		−	12.5620i		−	0.458394i	0.973380	−	0.229197i	$-0.0736101\pi$
$752$	−7.09980	+	37.2177i	−0.258903	+	1.35719i
$753$	−4.50618	−	2.29601i	−0.164214	−	0.0836714i
$754$	3.39022	−	2.42268i	0.123465	−	0.0882289i
$755$	7.91323	−	2.16503i	0.287992	−	0.0787934i
$756$	−1.47604	−	4.79796i	−0.0536829	−	0.174500i
$757$	−30.6304	−	30.6304i	−1.11328	−	1.11328i	−0.992704	−	0.120579i	$-0.961525\pi$
$757$	−30.6304	−	30.6304i	−1.11328	−	1.11328i	−0.120579	−	0.992704i	$-0.538475\pi$
$758$	−19.2874	+	18.9867i	−0.700548	+	0.689629i
$759$	6.40928	−	4.65661i	0.232642	−	0.169024i
$760$	18.1669	+	4.21044i	0.658984	+	0.152729i
$761$	−26.3840	−	19.1691i	−0.956420	−	0.694880i	−0.00410353	−	0.999992i	$-0.501306\pi$
$761$	−26.3840	−	19.1691i	−0.956420	−	0.694880i	−0.952317	+	0.305112i	$0.901306\pi$
$762$	23.2254	−	3.49176i	0.841367	−	0.126493i
$763$	−41.2364	−	6.53120i	−1.49286	−	0.236445i
$764$	42.3448	+	0.665286i	1.53198	+	0.0240692i
$765$	1.63934	−	7.91706i	0.0592703	−	0.286242i
$766$	23.4049	+	17.2872i	0.845654	+	0.624611i
$767$	15.0740	+	29.5845i	0.544292	+	1.06823i
$768$	−1.50561	−	15.9290i	−0.0543291	−	0.574788i
$769$	12.4755	+	4.05354i	0.449879	+	0.146175i	0.525189	−	0.850986i	$-0.323995\pi$
$769$	12.4755	+	4.05354i	0.449879	+	0.146175i	−0.0753100	+	0.997160i	$0.523995\pi$
$770$	6.09761	+	4.96399i	0.219743	+	0.178890i
$771$	7.52249	−	2.44420i	0.270916	−	0.0880259i
$772$	4.16253	+	29.2479i	0.149813	+	1.05265i
$773$	−45.2454	+	7.16616i	−1.62736	+	0.257749i	−0.902355	−	0.430993i	$-0.858163\pi$
$773$	−45.2454	+	7.16616i	−1.62736	+	0.257749i	−0.725007	+	0.688742i	$0.758163\pi$
$774$	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
$778$	18.4820	+	3.07627i	0.662612	+	0.110290i
$779$	10.7095	+	32.9606i	0.383709	+	1.18094i
$780$	−10.8856	−	17.1520i	−0.389766	−	0.614142i
$781$	3.83544	−	11.8043i	0.137243	−	0.422390i
$782$	−18.8508	+	36.2893i	−0.674104	+	1.29770i
$783$	0.577939	−	0.294475i	0.0206539	−	0.0105237i
$784$	2.68966	−	0.781408i	0.0960594	−	0.0279074i
$785$	19.4800	−	34.1541i	0.695272	−	1.21901i
$786$	20.2871	+	6.76829i	0.723615	+	0.241417i
$787$	−1.69779	+	10.7194i	−0.0605197	+	0.382107i	0.938774	+	0.344533i	$0.111963\pi$
$787$	−1.69779	+	10.7194i	−0.0605197	+	0.382107i	−0.999294	+	0.0375734i	$0.988037\pi$
$788$	−18.9625	−	38.7075i	−0.675512	−	1.37890i
$789$	−3.13330	+	4.31262i	−0.111548	+	0.153533i
$790$	24.6649	+	14.3257i	0.877539	+	0.509687i
$791$	−12.3615	−	17.0142i	−0.439525	−	0.604954i
$792$	2.75632	+	0.503401i	0.0979415	+	0.0178876i
$793$	−3.97780	+	3.97780i	−0.141256	+	0.141256i
$794$	−17.9323	−	0.140860i	−0.636395	−	0.00499894i
$795$	−10.5539	−	8.45480i	−0.374307	−	0.299861i
$796$	12.9524	−	17.2509i	0.459086	−	0.611443i
$797$	13.5415	−	26.5768i	0.479666	−	0.941397i	−0.516696	−	0.856169i	$-0.672838\pi$
$797$	13.5415	−	26.5768i	0.479666	−	0.941397i	0.996361	−	0.0852282i	$-0.0271619\pi$
$798$	−4.67818	−	9.36253i	−0.165606	−	0.331430i
$799$	34.2489			1.21164
$800$	8.10290	−	27.0988i	0.286481	−	0.958086i
$801$	−5.60334			−0.197984
$802$	−9.57318	−	19.1590i	−0.338041	−	0.676527i
$803$	3.81319	−	7.48381i	0.134565	−	0.264098i
$804$	7.05029	−	9.39006i	0.248644	−	0.331162i
$805$	−15.8643	+	41.9867i	−0.559142	+	1.47984i
$806$	−43.3203	−	0.340285i	−1.52589	−	0.0119860i
$807$	−10.7910	+	10.7910i	−0.379862	+	0.379862i
$808$	−17.3053	−	3.16055i	−0.608797	−	0.111188i
$809$	4.38125	+	6.03028i	0.154037	+	0.212013i	0.879060	−	0.476711i	$-0.158171\pi$
$809$	4.38125	+	6.03028i	0.154037	+	0.212013i	−0.725023	+	0.688724i	$0.758171\pi$
$810$	−1.27872	−	2.89221i	−0.0449295	−	0.101622i
$811$	0.930193	−	1.28030i	0.0326635	−	0.0449575i	−0.792373	−	0.610037i	$-0.791155\pi$
$811$	0.930193	−	1.28030i	0.0326635	−	0.0449575i	0.825036	+	0.565080i	$0.191155\pi$
$812$	−1.43247	−	2.92404i	−0.0502698	−	0.102614i
$813$	2.60532	−	16.4493i	0.0913726	−	0.576904i
$814$	5.59833	+	1.86775i	0.196222	+	0.0654647i
$815$	−2.25946	−	20.4612i	−0.0791454	−	0.716725i
$816$	−13.8886	+	4.03496i	−0.486199	+	0.141252i
$817$	4.09110	−	2.08452i	0.143129	−	0.0729281i
$818$	−16.9455	+	32.6213i	−0.592484	+	1.14058i
$819$	−3.52323	+	10.8434i	−0.123112	+	0.378899i
$820$	50.9125	−	13.0734i	1.77794	−	0.456542i
$821$	9.93549	+	30.5783i	0.346751	+	1.06719i	0.960640	+	0.277798i	$0.0896044\pi$
$821$	9.93549	+	30.5783i	0.346751	+	1.06719i	−0.613888	+	0.789393i	$0.710396\pi$
$822$	−11.3719	−	1.89282i	−0.396641	−	0.0660196i
$823$	4.78704	+	30.2242i	0.166866	+	1.05355i	0.918919	+	0.394447i	$0.129064\pi$
$823$	4.78704	+	30.2242i	0.166866	+	1.05355i	−0.752053	+	0.659103i	$0.770936\pi$
$824$	−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	$-0.901308\pi$
$827$	−50.7210	+	8.03342i	−1.76374	+	0.279349i	−0.811425	+	0.584457i	$0.801308\pi$
$828$	2.25362	+	15.8350i	0.0783188	+	0.550304i
$829$	−25.8242	+	8.39079i	−0.896912	+	0.291424i	−0.720962	−	0.692975i	$-0.756300\pi$
$829$	−25.8242	+	8.39079i	−0.896912	+	0.291424i	−0.175950	+	0.984399i	$0.556300\pi$
$830$	4.01469	−	10.3781i	0.139352	−	0.360228i
$831$	13.7964	+	4.48271i	0.478590	+	0.155503i
$832$	−18.0052	+	31.5661i	−0.624218	+	1.09436i
$833$	−1.14941	−	2.25584i	−0.0398247	−	0.0781604i
$834$	2.41513	+	1.78385i	0.0836292	+	0.0617696i
$835$	−28.1775	+	25.6408i	−0.975123	+	0.887338i
$836$	5.84116	+	0.0917713i	0.202021	+	0.00317398i
$837$	−6.66060	−	1.05494i	−0.230224	−	0.0364639i
$838$	33.7356	−	5.07188i	1.16538	−	0.175205i
$839$	12.9256	+	9.39100i	0.446241	+	0.324213i	0.788110	−	0.615535i	$-0.211060\pi$
$839$	12.9256	+	9.39100i	0.446241	+	0.324213i	−0.341869	+	0.939748i	$0.611060\pi$
$840$	−14.6176	+	6.19013i	−0.504354	+	0.213580i
$841$	−23.1211	+	16.7985i	−0.797280	+	0.579258i
$842$	−17.6408	+	17.3658i	−0.607943	+	0.598466i
$843$	1.19860	+	1.19860i	0.0412819	+	0.0412819i
$844$	−13.2894	−	43.1981i	−0.457439	−	1.48694i
$845$	−0.803731	+	17.0522i	−0.0276492	+	0.586613i
$846$	10.8989	−	7.78845i	0.374712	−	0.267772i
$847$	−22.4054	−	11.4161i	−0.769860	−	0.392263i
$848$	−4.53292	+	23.7619i	−0.155661	+	0.815988i
$849$		−	2.12731i		−	0.0730089i
$850$	−25.4340	−	2.60465i	−0.872379	−	0.0893388i
$851$			33.6895i			1.15486i
$852$	17.4384	+	17.9951i	0.597431	+	0.616503i
$853$	45.1378	+	22.9989i	1.54549	+	0.787466i	0.998757	−	0.0498414i	$-0.0158716\pi$
$853$	45.1378	+	22.9989i	1.54549	+	0.787466i	0.546732	+	0.837308i	$0.315872\pi$
$854$	2.55578	+	3.57647i	0.0874570	+	0.122384i
$855$	−3.61997	−	5.51058i	−0.123800	−	0.188458i
$856$	39.9394	−	27.6037i	1.36510	−	0.943475i
$857$	−33.6931	−	33.6931i	−1.15093	−	1.15093i	−0.986366	−	0.164569i	$-0.947377\pi$
$857$	−33.6931	−	33.6931i	−1.15093	−	1.15093i	−0.164569	−	0.986366i	$-0.552623\pi$
$858$	−4.46444	−	4.53513i	−0.152413	−	0.154827i
$859$	−28.7062	+	20.8562i	−0.979441	+	0.711606i	−0.957584	−	0.288155i	$-0.906958\pi$
$859$	−28.7062	+	20.8562i	−0.979441	+	0.711606i	−0.0218576	+	0.999761i	$0.506958\pi$
$860$	−2.76590	−	6.39120i	−0.0943163	−	0.217938i
$861$	−23.8669	−	17.3403i	−0.813382	−	0.590956i
$862$	−7.64958	−	50.8811i	−0.260546	−	1.73302i
$863$	31.6541	+	5.01352i	1.07752	+	0.170662i	0.669871	−	0.742477i	$-0.266349\pi$
$863$	31.6541	+	5.01352i	1.07752	+	0.170662i	0.407647	+	0.913140i	$0.366349\pi$
$864$	−3.50215	+	4.44241i	−0.119145	+	0.151134i
$865$	13.7827	+	30.5233i	0.468627	+	1.03782i
$866$	−30.1240	+	40.7846i	−1.02366	+	1.38592i
$867$	−1.78262	−	3.49859i	−0.0605409	−	0.118818i
$868$	−5.82023	+	33.3481i	−0.197552	+	1.13191i
$869$	8.49801	+	2.76117i	0.288275	+	0.0936663i
$870$	−1.11268	−	1.72315i	−0.0377234	−	0.0584201i
$871$	−25.3643	+	8.24136i	−0.859437	+	0.279248i
$872$	20.3657	+	42.4119i	0.689671	+	1.43625i
$873$	−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	0.980707	+	0.195485i	$0.0626280\pi$
$877$	3.21039	+	20.2696i	0.108407	+	0.684457i	−0.872299	+	0.488972i	$0.837372\pi$
$878$	3.75294	−	22.5474i	0.126656	−	0.760939i
$879$	5.46804	+	16.8289i	0.184432	+	0.567625i
$880$	0.694992	−	8.83312i	0.0234282	−	0.297764i
$881$	−10.4735	+	32.2341i	−0.352861	+	1.08599i	0.604379	+	0.796697i	$0.293421\pi$
$881$	−10.4735	+	32.2341i	−0.352861	+	1.08599i	−0.957239	+	0.289297i	$0.906579\pi$
$882$	−0.878767	−	0.456484i	−0.0295896	−	0.0153706i
$883$	18.4629	−	9.40734i	0.621327	−	0.316582i	−0.114838	−	0.993384i	$-0.536635\pi$
$883$	18.4629	−	9.40734i	0.621327	−	0.316582i	0.736165	+	0.676802i	$0.236635\pi$
$884$	31.0779	+	10.6404i	1.04526	+	0.357875i
$885$	14.8963	−	6.72637i	0.500732	−	0.226105i
$886$	2.00577	−	6.01202i	0.0673851	−	0.201978i
$887$	−4.49497	+	28.3801i	−0.150926	+	0.952911i	0.789706	+	0.613485i	$0.210233\pi$
$887$	−4.49497	+	28.3801i	−0.150926	+	0.952911i	−0.940633	+	0.339426i	$0.889767\pi$
$888$	−8.62141	+	8.22437i	−0.289316	+	0.275992i
$889$	−24.5009	+	33.7227i	−0.821735	+	1.13102i
$890$	1.80646	+	17.6270i	0.0605527	+	0.590859i
$891$	−0.582275	−	0.801432i	−0.0195069	−	0.0268490i
$892$	−0.602565	−	0.319043i	−0.0201754	−	0.0106824i
$893$	19.7492	−	19.7492i	0.660882	−	0.660882i
$894$	−0.0744619	+	9.47944i	−0.00249038	+	0.317040i
$895$	1.72125	−	1.13071i	0.0575351	−	0.0377955i
$896$	22.0214	+	17.9285i	0.735683	+	0.598948i
$897$	16.4925	−	32.3683i	0.550667	−	1.08075i
$898$	40.5087	−	20.2410i	1.35179	−	0.675450i
$899$	−4.37416			−0.145886
$900$	−8.68608	+	4.95501i	−0.289536	+	0.165167i
$901$	21.8665			0.728478
$902$	14.7300	−	7.36013i	0.490454	−	0.245066i
$903$	−1.77441	+	3.48248i	−0.0590488	+	0.115890i
$904$	−7.85253	+	22.3605i	−0.261171	+	0.743700i
$905$	25.6644	+	1.20965i	0.853112	+	0.0402103i
$906$	−0.0407565	+	5.18854i	−0.00135404	+	0.172378i
$907$	1.04173	−	1.04173i	0.0345900	−	0.0345900i	−0.689600	−	0.724190i	$-0.742214\pi$
$907$	1.04173	−	1.04173i	0.0345900	−	0.0345900i	0.724190	+	0.689600i	$0.242214\pi$
$908$	−14.2037	+	26.8260i	−0.471366	+	0.890252i
$909$	3.65575	+	5.03171i	0.121254	+	0.166891i
$910$	35.2470	+	7.58759i	1.16843	+	0.251526i
$911$	−1.07000	+	1.47273i	−0.0354508	+	0.0487938i	−0.826374	−	0.563121i	$-0.809600\pi$
$911$	−1.07000	+	1.47273i	−0.0354508	+	0.0487938i	0.790924	+	0.611915i	$0.209600\pi$
$912$	−5.68200	+	10.3354i	−0.188150	+	0.342240i
$913$	0.545307	−	3.44293i	0.0180470	−	0.113944i
$914$	10.2481	−	30.7172i	0.338976	−	1.01604i
$915$	1.86372	+	2.04810i	0.0616128	+	0.0677082i
$916$	−12.1395	+	35.4563i	−0.401099	+	1.17151i
$917$	−33.8193	+	17.2318i	−1.11681	+	0.569044i
$918$	4.53770	+	2.35715i	0.149766	+	0.0777976i
$919$	11.4266	−	35.1676i	0.376930	−	1.16007i	−0.565237	−	0.824929i	$-0.691215\pi$
$919$	11.4266	−	35.1676i	0.376930	−	1.16007i	0.942167	−	0.335144i	$-0.108785\pi$
$920$	49.0872	−	12.1945i	1.61836	−	0.402040i
$921$	8.26923	+	25.4501i	0.272480	+	0.838608i
$922$	−2.86194	+	17.1943i	−0.0942529	+	0.566265i
$923$	−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
$928$	−1.79288	+	3.20139i	−0.0588543	+	0.105091i
$929$	−36.8445	+	11.9715i	−1.20883	+	0.392772i	−0.843002	−	0.537911i	$-0.819214\pi$
$929$	−36.8445	+	11.9715i	−1.20883	+	0.392772i	−0.365827	+	0.930683i	$0.619214\pi$
$930$	−1.17131	+	21.2930i	−0.0384088	+	0.698226i
$931$	−1.96360	−	0.638012i	−0.0643544	−	0.0209100i
$932$	−38.1391	−	6.65641i	−1.24929	−	0.218038i
$933$	−1.04874	−	2.05827i	−0.0343342	−	0.0673847i
$934$	−1.39272	+	1.88559i	−0.0455713	+	0.0616985i
$935$	−7.96081	+	0.879084i	−0.260346	+	0.0287491i
$936$	12.3095	−	3.68128i	0.402348	−	0.120326i
$937$	14.1890	+	2.24732i	0.463536	+	0.0734168i	0.383834	−	0.923402i	$-0.374603\pi$
$937$	14.1890	+	2.24732i	0.463536	+	0.0734168i	0.0797013	+	0.996819i	$0.474603\pi$
$938$	3.09832	+	20.6084i	0.101164	+	0.672889i
$939$	−5.29010	−	3.84349i	−0.172636	−	0.125427i
$940$	−28.0146	−	31.7748i	−0.913735	−	1.03638i
$941$	28.0766	−	20.3988i	0.915270	−	0.664982i	−0.0270725	−	0.999633i	$-0.508618\pi$
$941$	28.0766	−	20.3988i	0.915270	−	0.664982i	0.942342	+	0.334651i	$0.108618\pi$
$942$	17.4453	+	17.7215i	0.568398	+	0.577398i
$943$	66.4665	+	66.4665i	2.16445	+	2.16445i
$944$	−23.1024	−	17.9202i	−0.751920	−	0.583254i
$945$	5.25013	+	1.98371i	0.170787	+	0.0645300i
$946$	−1.26839	−	1.77495i	−0.0412390	−	0.0577085i
$947$	−2.50903	−	1.27841i	−0.0815325	−	0.0415429i	0.412749	−	0.910845i	$-0.364569\pi$
$947$	−2.50903	−	1.27841i	−0.0815325	−	0.0415429i	−0.494281	+	0.869302i	$0.664569\pi$
$948$	−12.9549	+	12.5541i	−0.420755	+	0.407738i
$949$		−	38.5149i		−	1.25025i
$950$	−16.1682	+	13.1643i	−0.524564	+	0.427105i
$951$		−	19.9446i		−	0.646747i
$952$	12.1890	−	22.5900i	0.395047	−	0.732146i
$953$	−25.2286	−	12.8546i	−0.817234	−	0.416401i	−0.00518178	−	0.999987i	$-0.501649\pi$
$953$	−25.2286	−	12.8546i	−0.817234	−	0.416401i	−0.812052	+	0.583585i	$0.801649\pi$
$954$	6.95848	−	4.97259i	0.225289	−	0.160994i
$955$	−29.6036	+	36.9532i	−0.957948	+	1.19578i
$956$	−1.53335	+	0.471718i	−0.0495922	+	0.0152564i
$957$	−0.454355	−	0.454355i	−0.0146872	−	0.0146872i
$958$	1.35790	−	1.33673i	0.0438718	−	0.0431879i
$959$	16.5529	−	12.0264i	0.534520	−	0.388351i
$960$	15.1040	+	9.58487i	0.487479	+	0.309350i
$961$	11.7117	+	8.50908i	0.377798	+	0.274486i
$962$	26.7614	−	4.02338i	0.862823	−	0.129719i
$963$	−16.9538	−	2.68521i	−0.546327	−	0.0865297i
$964$	0.398779	−	25.3819i	0.0128438	−	0.817497i
$965$	−28.6910	−	16.3641i	−0.923596	−	0.526779i
$966$	−22.8338	−	16.8654i	−0.734666	−	0.542634i
$967$	−11.2935	−	22.1648i	−0.363175	−	0.712771i	0.635041	−	0.772479i	$-0.280983\pi$
$967$	−11.2935	−	22.1648i	−0.363175	−	0.712771i	−0.998216	+	0.0597073i	$0.980983\pi$
$968$	3.77219	+	28.0849i	0.121243	+	0.902682i
$969$	10.1395	+	3.29451i	0.325726	+	0.105835i
$970$	6.85387	+	25.8470i	0.220065	+	0.829897i
$971$	−13.7509	+	4.46795i	−0.441289	+	0.143383i	−0.521230	−	0.853416i	$-0.674527\pi$
$971$	−13.7509	+	4.46795i	−0.441289	+	0.143383i	0.0799415	+	0.996800i	$0.474527\pi$
$972$	1.98005	−	0.281799i	0.0635101	−	0.00903870i
$973$	−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	0.988326	−	0.152352i	$-0.0486847\pi$
$977$	0.0404109	+	0.255144i	0.00129286	+	0.00816278i	−0.987033	+	0.160515i	$0.948685\pi$
$978$	12.8428	+	2.13764i	0.410667	+	0.0683541i
$979$	1.71529	+	5.27913i	0.0548211	+	0.168722i
$980$	−1.15270	+	2.91159i	−0.0368218	+	0.0930074i
$981$	5.14020	−	15.8199i	0.164114	−	0.505091i
$982$	1.99894	−	3.84812i	0.0637889	−	0.122799i
$983$	−10.9161	+	5.56205i	−0.348171	+	0.177402i	−0.619326	−	0.785134i	$-0.712594\pi$
$983$	−10.9161	+	5.56205i	−0.348171	+	0.177402i	0.271156	+	0.962536i	$0.412594\pi$
$984$	−0.783328	+	33.2353i	−0.0249716	+	1.05950i
$985$	47.1893	+	9.77120i	1.50358	+	0.311336i
$986$	3.14626	+	1.04967i	0.100197	+	0.0334284i
$987$	−3.71918	+	23.4820i	−0.118383	+	0.747439i
$988$	24.0563	−	11.7850i	0.765334	−	0.374932i
$989$	7.31992	−	10.0750i	0.232760	−	0.320367i
$990$	−2.33343	+	2.09009i	−0.0741612	+	0.0664275i
$991$	9.47852	+	13.0461i	0.301095	+	0.414422i	0.932578	−	0.360968i	$-0.117553\pi$
$991$	9.47852	+	13.0461i	0.301095	+	0.414422i	−0.631483	+	0.775390i	$0.717553\pi$
$992$	34.6437	−	15.9707i	1.09994	−	0.507072i
$993$	−21.9391	+	21.9391i	−0.696217	+	0.696217i
$994$	−44.4721	−	0.349333i	−1.41057	−	0.0110802i
$995$	6.36479	+	23.2635i	0.201778	+	0.737502i
$996$	5.62791	+	4.22557i	0.178327	+	0.133892i
$997$	15.2660	−	29.9612i	0.483479	−	0.948881i	−0.512448	−	0.858718i	$-0.671261\pi$
$997$	15.2660	−	29.9612i	0.483479	−	0.948881i	0.995927	−	0.0901629i	$-0.0287388\pi$
$998$	−24.1664	−	48.3646i	−0.764973	−	1.53096i
$999$	4.21261			0.133281

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.187.11	✓	240	1.1	even	1	trivial
300.2.w.a.187.18	yes	240	4.3	odd	2	inner
300.2.w.a.223.11	yes	240	100.23	even	20	inner
300.2.w.a.223.18	yes	240	25.23	odd	20	inner
900.2.bj.f.487.13		240	12.11	even	2
900.2.bj.f.487.20		240	3.2	odd	2
900.2.bj.f.523.13		240	75.23	even	20
900.2.bj.f.523.20		240	300.23	odd	20

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)

\(f(q)\)	\(=\)	\(q+(-0.632122 - 1.26508i) q^{2} +(-0.453990 + 0.891007i) q^{3} +(-1.20084 + 1.59937i) q^{4} +(-0.590092 - 2.15680i) q^{5} +(1.41417 + 0.0111084i) q^{6} +(-1.77479 + 1.77479i) q^{7} +(2.78240 + 0.508165i) q^{8} +(-0.587785 - 0.809017i) q^{9} +O(q^{10})\)	\(q+(-0.632122 - 1.26508i) q^{2} +(-0.453990 + 0.891007i) q^{3} +(-1.20084 + 1.59937i) q^{4} +(-0.590092 - 2.15680i) q^{5} +(1.41417 + 0.0111084i) q^{6} +(-1.77479 + 1.77479i) q^{7} +(2.78240 + 0.508165i) q^{8} +(-0.587785 - 0.809017i) q^{9} +(-2.35551 + 2.10987i) q^{10} +(-0.582275 + 0.801432i) q^{11} +(-0.879875 - 1.79606i) q^{12} +(-0.710606 + 4.48659i) q^{13} +(3.36714 + 1.12337i) q^{14} +(2.18962 + 0.453391i) q^{15} +(-1.11595 - 3.84118i) q^{16} +(-3.22163 + 1.64150i) q^{17} +(-0.651917 + 1.25499i) q^{18} +(-0.911162 + 2.80427i) q^{19} +(4.15813 + 1.64621i) q^{20} +(-0.775613 - 2.38709i) q^{21} +(1.38194 + 0.230020i) 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} +(-0.707297 - 4.96979i) q^{28} +(0.616890 - 0.200440i) q^{29} +(-0.810532 - 3.05664i) q^{30} +(-6.41357 - 2.08390i) q^{31} +(-4.15397 + 3.83986i) q^{32} +(-0.449734 - 0.882653i) q^{33} +(4.11309 + 3.03798i) q^{34} +(4.87517 + 2.78058i) q^{35} +(1.99975 + 0.0314184i) q^{36} +(4.16075 + 0.658998i) q^{37} +(4.12358 - 0.619949i) q^{38} +(-3.67497 - 2.67002i) q^{39} +(-0.545863 - 6.30095i) q^{40} +(9.50896 - 6.90867i) q^{41} +(-2.52957 + 2.49014i) q^{42} +(-1.10111 - 1.10111i) q^{43} +(-0.582564 - 1.89367i) q^{44} +(-1.39804 + 1.74513i) q^{45} +(9.20181 - 6.57569i) q^{46} +(-8.43980 - 4.30030i) q^{47} +(3.92915 + 0.749540i) q^{48} +0.700218i q^{49} +(5.94055 + 3.83535i) q^{50} -3.61572i q^{51} +(-6.32237 - 6.52421i) q^{52} +(-5.38846 - 2.74556i) q^{53} +(-0.822241 - 1.15062i) q^{54} +(2.07213 + 0.782931i) q^{55} +(-5.84008 + 4.03630i) q^{56} +(-2.08496 - 2.08496i) q^{57} +(-0.643521 - 0.653711i) q^{58} +(5.91350 - 4.29641i) q^{59} +(-3.35453 + 2.95755i) q^{60} +(1.00189 + 0.727914i) q^{61} +(1.41787 + 9.43094i) q^{62} +(2.47904 + 0.392641i) q^{63} +(7.48354 + 2.82784i) q^{64} +(10.0960 - 1.11487i) q^{65} +(-0.832338 + 1.12689i) q^{66} +(2.66543 + 5.23120i) q^{67} +(1.24331 - 7.12376i) q^{68} +(-7.60587 - 2.47130i) q^{69} +(0.435954 - 7.92514i) q^{70} +(-11.9160 + 3.87174i) q^{71} +(-1.22434 - 2.54970i) 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} +(-1.05476 + 6.33690i) q^{78} +(-2.78730 - 8.57843i) q^{79} +(-7.62615 + 4.67353i) q^{80} +(-0.309017 + 0.951057i) q^{81} +(-14.7508 - 7.66246i) q^{82} +(-3.13531 + 1.59752i) q^{83} +(4.74923 + 1.62603i) q^{84} +(5.44146 + 5.97978i) q^{85} +(-0.696954 + 2.08902i) q^{86} +(-0.101469 + 0.640650i) q^{87} +(-2.02738 + 1.93402i) q^{88} +(3.29356 - 4.53320i) q^{89} +(3.09146 + 0.665495i) q^{90} +(-6.70159 - 9.22394i) q^{91} +(-14.1354 - 7.48436i) q^{92} +(4.76846 - 4.76846i) q^{93} +(-0.105221 + 13.3953i) q^{94} +(6.58592 + 0.310418i) q^{95} +(-1.53547 - 5.44448i) q^{96} +(3.83895 - 7.53437i) q^{97} +(0.885830 - 0.442623i) 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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