LMFDB - Embedded newform 552.2.bf.a.5.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [552,2,Mod(5,552)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(552, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 11, 1]))

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

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

chi := DirichletCharacter("552.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 552 = 2^{3} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	552.bf (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.40774219157$
Analytic rank:	$0$
Dimension:	$920$
Relative dimension:	$92$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			5.9
Character	$\chi$	$=$	552.5
Dual form			552.2.bf.a.221.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.34520 + 0.436397i) q^{2} +(1.59574 + 0.673497i) q^{3} +(1.61912 - 1.17408i) q^{4} +(1.00923 + 0.145106i) q^{5} +(-2.44050 - 0.209609i) q^{6} +(0.340247 - 0.155386i) q^{7} +(-1.66567 + 2.28595i) q^{8} +(2.09280 + 2.14946i) q^{9} +O(q^{10})$	\(q+(-1.34520 + 0.436397i) q^{2} +(1.59574 + 0.673497i) q^{3} +(1.61912 - 1.17408i) q^{4} +(1.00923 + 0.145106i) q^{5} +(-2.44050 - 0.209609i) q^{6} +(0.340247 - 0.155386i) q^{7} +(-1.66567 + 2.28595i) q^{8} +(2.09280 + 2.14946i) q^{9} +(-1.42094 + 0.245230i) q^{10} +(-0.490082 - 1.66907i) q^{11} +(3.37444 - 0.783063i) q^{12} +(2.50146 + 1.14238i) q^{13} +(-0.389890 + 0.357507i) q^{14} +(1.51275 + 0.911269i) q^{15} +(1.24307 - 3.80194i) q^{16} +(-5.62679 + 3.61612i) q^{17} +(-3.75325 - 1.97816i) q^{18} +(6.29221 + 4.04376i) q^{19} +(1.80443 - 0.949979i) q^{20} +(0.647599 - 0.0188004i) q^{21} +(1.38763 + 2.03135i) q^{22} +(4.72012 - 0.848790i) q^{23} +(-4.19756 + 2.52597i) q^{24} +(-3.79997 - 1.11577i) q^{25} +(-3.86350 - 0.445097i) q^{26} +(1.89193 + 4.83949i) q^{27} +(0.368464 - 0.651065i) q^{28} +(5.42127 - 3.48404i) q^{29} +(-2.43263 - 0.565677i) q^{30} +(-3.63444 - 4.19436i) q^{31} +(-0.0130204 + 5.65684i) q^{32} +(0.342065 - 2.99347i) q^{33} +(5.99108 - 7.31991i) q^{34} +(0.365936 - 0.107449i) q^{35} +(5.91213 + 1.02310i) q^{36} +(-1.25843 - 8.75254i) q^{37} +(-10.2290 - 2.69376i) q^{38} +(3.22231 + 3.50768i) q^{39} +(-2.01275 + 2.06536i) q^{40} +(8.28773 + 1.19160i) q^{41} +(-0.862945 + 0.307901i) q^{42} +(-2.67338 + 3.08524i) q^{43} +(-2.75312 - 2.12701i) q^{44} +(1.80023 + 2.47299i) q^{45} +(-5.97909 + 3.20164i) q^{46} +4.63021i q^{47} +(4.54422 - 5.22973i) q^{48} +(-4.49240 + 5.18451i) q^{49} +(5.59863 - 0.157361i) q^{50} +(-11.4144 + 1.98077i) q^{51} +(5.39141 - 1.08727i) q^{52} +(-3.00942 + 1.37435i) q^{53} +(-4.65695 - 5.68444i) q^{54} +(-0.252416 - 1.75559i) q^{55} +(-0.211535 + 1.03661i) q^{56} +(7.31730 + 10.6906i) q^{57} +(-5.77226 + 7.05255i) q^{58} +(0.322521 - 0.706223i) q^{59} +(3.51922 - 0.300643i) q^{60} +(-4.29281 - 4.95417i) q^{61} +(6.71944 + 4.05619i) q^{62} +(1.04607 + 0.406156i) q^{63} +(-2.45111 - 7.61525i) q^{64} +(2.35880 + 1.51591i) q^{65} +(0.846196 + 4.17609i) q^{66} +(6.09375 + 1.78929i) q^{67} +(-4.86481 + 12.4612i) q^{68} +(8.10377 + 1.82454i) q^{69} +(-0.445367 + 0.304233i) q^{70} +(-1.84675 + 6.28944i) q^{71} +(-8.39946 + 1.20376i) q^{72} +(-3.22431 - 2.07214i) q^{73} +(5.51241 + 11.2247i) q^{74} +(-5.31231 - 4.33975i) q^{75} +(14.9355 - 0.840248i) q^{76} +(-0.426098 - 0.491743i) q^{77} +(-5.86538 - 3.31231i) q^{78} +(12.9418 + 5.91031i) q^{79} +(1.80623 - 3.65668i) q^{80} +(-0.240349 + 8.99679i) q^{81} +(-11.6686 + 2.01381i) q^{82} +(-1.40330 + 0.201764i) q^{83} +(1.02647 - 0.790774i) q^{84} +(-6.20347 + 2.83303i) q^{85} +(2.24983 - 5.31691i) q^{86} +(10.9975 - 1.90843i) q^{87} +(4.63171 + 1.65980i) q^{88} +(1.05437 - 1.21680i) q^{89} +(-3.50087 - 2.54104i) q^{90} +1.02863 q^{91} +(6.64588 - 6.91609i) q^{92} +(-2.97474 - 9.14092i) q^{93} +(-2.02061 - 6.22855i) q^{94} +(5.76354 + 4.99414i) q^{95} +(-3.83064 + 9.01810i) q^{96} +(-14.5302 - 2.08913i) q^{97} +(3.78067 - 8.93466i) q^{98} +(2.56194 - 4.54644i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 920 q - 22 q^{4} - 2 q^{6} - 44 q^{7} - 18 q^{9}+O(q^{10}) $ 920 * q - 22 * q^4 - 2 * q^6 - 44 * q^7 - 18 * q^9	$ 920 q - 22 q^{4} - 2 q^{6} - 44 q^{7} - 18 q^{9} - 22 q^{10} - 12 q^{12} - 22 q^{15} - 30 q^{16} - 10 q^{18} - 14 q^{24} + 40 q^{25} - 22 q^{28} - 11 q^{30} - 20 q^{31} - 22 q^{33} - 18 q^{36} - 42 q^{39} - 176 q^{40} - 11 q^{42} + 90 q^{46} - 64 q^{48} + 32 q^{49} - 90 q^{52} + 21 q^{54} - 76 q^{55} - 22 q^{57} + 76 q^{58} - 11 q^{60} - 22 q^{63} - 28 q^{64} - 44 q^{66} - 116 q^{70} - 79 q^{72} - 36 q^{73} - 22 q^{76} - 134 q^{78} - 44 q^{79} - 34 q^{81} - 40 q^{82} - 165 q^{84} - 18 q^{87} - 22 q^{88} - 198 q^{90} + 88 q^{94} - 231 q^{96} - 44 q^{97}+O(q^{100}) $ 920 * q - 22 * q^4 - 2 * q^6 - 44 * q^7 - 18 * q^9 - 22 * q^10 - 12 * q^12 - 22 * q^15 - 30 * q^16 - 10 * q^18 - 14 * q^24 + 40 * q^25 - 22 * q^28 - 11 * q^30 - 20 * q^31 - 22 * q^33 - 18 * q^36 - 42 * q^39 - 176 * q^40 - 11 * q^42 + 90 * q^46 - 64 * q^48 + 32 * q^49 - 90 * q^52 + 21 * q^54 - 76 * q^55 - 22 * q^57 + 76 * q^58 - 11 * q^60 - 22 * q^63 - 28 * q^64 - 44 * q^66 - 116 * q^70 - 79 * q^72 - 36 * q^73 - 22 * q^76 - 134 * q^78 - 44 * q^79 - 34 * q^81 - 40 * q^82 - 165 * q^84 - 18 * q^87 - 22 * q^88 - 198 * q^90 + 88 * q^94 - 231 * q^96 - 44 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/552\mathbb{Z}\right)^\times$.

$n$	$97$	$185$	$277$	$415$
$\chi(n)$	$e\left(\frac{1}{22}\right)$	$-1$	$-1$	$1$

Coefficient data

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

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

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

$2$	−1.34520	+	0.436397i	−0.951199	+	0.308579i
$2$	−1.34520	+	0.436397i	−0.951199	+	0.308579i
$3$	1.59574	+	0.673497i	0.921304	+	0.388844i
$3$	1.59574	+	0.673497i	0.921304	+	0.388844i
$4$	1.61912	−	1.17408i	0.809558	−	0.587040i
$5$	1.00923	+	0.145106i	0.451343	+	0.0648934i	0.364238	−	0.931306i	$-0.381329\pi$
$5$	1.00923	+	0.145106i	0.451343	+	0.0648934i	0.0871050	+	0.996199i	$0.472238\pi$
$6$	−2.44050	−	0.209609i	−0.996332	−	0.0855725i
$7$	0.340247	−	0.155386i	0.128601	−	0.0587303i	−0.350075	−	0.936722i	$-0.613844\pi$
$7$	0.340247	−	0.155386i	0.128601	−	0.0587303i	0.478676	+	0.877991i	$0.341117\pi$
$8$	−1.66567	+	2.28595i	−0.588902	+	0.808204i
$9$	2.09280	+	2.14946i	0.697601	+	0.716486i
$10$	−1.42094	+	0.245230i	−0.449342	+	0.0775487i
$11$	−0.490082	−	1.66907i	−0.147765	−	0.503242i	0.852030	−	0.523493i	$-0.175372\pi$
$11$	−0.490082	−	1.66907i	−0.147765	−	0.503242i	−0.999795	+	0.0202513i	$0.993553\pi$
$12$	3.37444	−	0.783063i	0.974116	−	0.226051i
$13$	2.50146	+	1.14238i	0.693781	+	0.316839i	0.730913	−	0.682471i	$-0.239095\pi$
$13$	2.50146	+	1.14238i	0.693781	+	0.316839i	−0.0371313	+	0.999310i	$0.511822\pi$
$14$	−0.389890	+	0.357507i	−0.104202	+	0.0955478i
$15$	1.51275	+	0.911269i	0.390591	+	0.235289i
$16$	1.24307	−	3.80194i	0.310768	−	0.950486i
$17$	−5.62679	+	3.61612i	−1.36470	+	0.877037i	−0.998566	−	0.0535264i	$-0.982954\pi$
$17$	−5.62679	+	3.61612i	−1.36470	+	0.877037i	−0.366130	+	0.930564i	$0.619318\pi$
$18$	−3.75325	−	1.97816i	−0.884650	−	0.466256i
$19$	6.29221	+	4.04376i	1.44353	+	0.927702i	0.999498	+	0.0316921i	$0.0100896\pi$
$19$	6.29221	+	4.04376i	1.44353	+	0.927702i	0.444035	+	0.896010i	$0.353547\pi$
$20$	1.80443	−	0.949979i	0.403484	−	0.212422i
$21$	0.647599	−	0.0188004i	0.141318	−	0.00410258i
$22$	1.38763	+	2.03135i	0.295844	+	0.433086i
$23$	4.72012	−	0.848790i	0.984214	−	0.176985i
$23$	4.72012	−	0.848790i	0.984214	−	0.176985i
$24$	−4.19756	+	2.52597i	−0.856823	+	0.515611i
$25$	−3.79997	−	1.11577i	−0.759993	−	0.223154i
$26$	−3.86350	−	0.445097i	−0.757694	−	0.0872907i
$27$	1.89193	+	4.83949i	0.364101	+	0.931359i
$28$	0.368464	−	0.651065i	0.0696332	−	0.123040i
$29$	5.42127	−	3.48404i	1.00670	−	0.646970i	0.0701665	−	0.997535i	$-0.477647\pi$
$29$	5.42127	−	3.48404i	1.00670	−	0.646970i	0.936538	+	0.350565i	$0.114011\pi$
$30$	−2.43263	−	0.565677i	−0.444135	−	0.103278i
$31$	−3.63444	−	4.19436i	−0.652764	−	0.753330i	0.328813	−	0.944395i	$-0.393351\pi$
$31$	−3.63444	−	4.19436i	−0.652764	−	0.753330i	−0.981577	+	0.191065i	$0.938806\pi$
$32$	−0.0130204	+	5.65684i	−0.00230171	+	0.999997i
$33$	0.342065	−	2.99347i	0.0595459	−	0.521097i
$34$	5.99108	−	7.31991i	1.02746	−	1.25535i
$35$	0.365936	−	0.107449i	0.0618546	−	0.0181621i
$36$	5.91213	+	1.02310i	0.985355	+	0.170517i
$37$	−1.25843	−	8.75254i	−0.206884	−	1.43891i	−0.783245	−	0.621713i	$-0.786437\pi$
$37$	−1.25843	−	8.75254i	−0.206884	−	1.43891i	0.576361	−	0.817195i	$-0.304472\pi$
$38$	−10.2290	−	2.69376i	−1.65936	−	0.436985i
$39$	3.22231	+	3.50768i	0.515982	+	0.561678i
$40$	−2.01275	+	2.06536i	−0.318244	+	0.326562i
$41$	8.28773	+	1.19160i	1.29433	+	0.186096i	0.754846	−	0.655902i	$-0.227712\pi$
$41$	8.28773	+	1.19160i	1.29433	+	0.186096i	0.539480	+	0.841998i	$0.318621\pi$
$42$	−0.862945	+	0.307901i	−0.133155	+	0.0475101i
$43$	−2.67338	+	3.08524i	−0.407686	+	0.470495i	−0.922046	−	0.387079i	$-0.873484\pi$
$43$	−2.67338	+	3.08524i	−0.407686	+	0.470495i	0.514360	+	0.857574i	$0.328029\pi$
$44$	−2.75312	−	2.12701i	−0.415048	−	0.320660i
$45$	1.80023	+	2.47299i	0.268362	+	0.368651i
$46$	−5.97909	+	3.20164i	−0.881569	+	0.472056i
$47$			4.63021i			0.675386i	0.941256	+	0.337693i	$0.109647\pi$
$47$			4.63021i			0.675386i	−0.941256	+	0.337693i	$0.890353\pi$
$48$	4.54422	−	5.22973i	0.655902	−	0.754846i
$49$	−4.49240	+	5.18451i	−0.641772	+	0.740644i
$50$	5.59863	−	0.157361i	0.791765	−	0.0222541i
$51$	−11.4144	+	1.98077i	−1.59833	+	0.277364i
$52$	5.39141	−	1.08727i	0.747653	−	0.150778i
$53$	−3.00942	+	1.37435i	−0.413375	+	0.188782i	−0.611237	−	0.791448i	$-0.709328\pi$
$53$	−3.00942	+	1.37435i	−0.413375	+	0.188782i	0.197862	+	0.980230i	$0.436600\pi$
$54$	−4.65695	−	5.68444i	−0.633731	−	0.773554i
$55$	−0.252416	−	1.75559i	−0.0340358	−	0.236724i
$56$	−0.211535	+	1.03661i	−0.0282675	+	0.138523i
$57$	7.31730	+	10.6906i	0.969201	+	1.41600i
$58$	−5.77226	+	7.05255i	−0.757935	+	0.926045i
$59$	0.322521	−	0.706223i	0.0419887	−	0.0919425i	−0.887475	−	0.460855i	$-0.847543\pi$
$59$	0.322521	−	0.706223i	0.0419887	−	0.0919425i	0.929464	+	0.368913i	$0.120270\pi$
$60$	3.51922	−	0.300643i	0.454330	−	0.0388129i
$61$	−4.29281	−	4.95417i	−0.549638	−	0.634316i	0.411161	−	0.911563i	$-0.365124\pi$
$61$	−4.29281	−	4.95417i	−0.549638	−	0.634316i	−0.960799	+	0.277247i	$0.910578\pi$
$62$	6.71944	+	4.05619i	0.853370	+	0.515137i
$63$	1.04607	+	0.406156i	0.131792	+	0.0511708i
$64$	−2.45111	−	7.61525i	−0.306389	−	0.951906i
$65$	2.35880	+	1.51591i	0.292573	+	0.188025i
$66$	0.846196	+	4.17609i	0.104160	+	0.514041i
$67$	6.09375	+	1.78929i	0.744471	+	0.218596i	0.631903	−	0.775048i	$-0.282274\pi$
$67$	6.09375	+	1.78929i	0.744471	+	0.218596i	0.112568	+	0.993644i	$0.464092\pi$
$68$	−4.86481	+	12.4612i	−0.589945	+	1.51114i
$69$	8.10377	+	1.82454i	0.975579	+	0.219648i
$70$	−0.445367	+	0.304233i	−0.0532315	+	0.0363628i
$71$	−1.84675	+	6.28944i	−0.219168	+	0.746419i	0.774351	+	0.632756i	$0.218077\pi$
$71$	−1.84675	+	6.28944i	−0.219168	+	0.746419i	−0.993519	+	0.113663i	$0.963742\pi$
$72$	−8.39946	+	1.20376i	−0.989886	+	0.141864i
$73$	−3.22431	−	2.07214i	−0.377377	−	0.242525i	0.338178	−	0.941082i	$-0.390190\pi$
$73$	−3.22431	−	2.07214i	−0.377377	−	0.242525i	−0.715555	+	0.698557i	$0.753826\pi$
$74$	5.51241	+	11.2247i	0.640805	+	1.30485i
$75$	−5.31231	−	4.33975i	−0.613413	−	0.501111i
$76$	14.9355	−	0.840248i	1.71322	−	0.0963831i
$77$	−0.426098	−	0.491743i	−0.0485584	−	0.0560393i
$78$	−5.86538	−	3.31231i	−0.664124	−	0.375046i
$79$	12.9418	+	5.91031i	1.45606	+	0.664962i	0.977082	−	0.212864i	$-0.0682791\pi$
$79$	12.9418	+	5.91031i	1.45606	+	0.664962i	0.478981	+	0.877825i	$0.341006\pi$
$80$	1.80623	−	3.65668i	0.201943	−	0.408829i
$81$	−0.240349	+	8.99679i	−0.0267054	+	0.999643i
$82$	−11.6686	+	2.01381i	−1.28859	+	0.222388i
$83$	−1.40330	+	0.201764i	−0.154032	+	0.0221465i	−0.218900	−	0.975747i	$-0.570247\pi$
$83$	−1.40330	+	0.201764i	−0.154032	+	0.0221465i	0.0648672	+	0.997894i	$0.479338\pi$
$84$	1.02647	−	0.790774i	0.111997	−	0.0862805i
$85$	−6.20347	+	2.83303i	−0.672861	+	0.307285i
$86$	2.24983	−	5.31691i	0.242606	−	0.573337i
$87$	10.9975	−	1.90843i	1.17905	−	0.204605i
$88$	4.63171	+	1.65980i	0.493742	+	0.176936i
$89$	1.05437	−	1.21680i	0.111763	−	0.128981i	−0.697112	−	0.716963i	$-0.745532\pi$
$89$	1.05437	−	1.21680i	0.111763	−	0.128981i	0.808874	+	0.587982i	$0.200077\pi$
$90$	−3.50087	−	2.54104i	−0.369024	−	0.267849i
$91$	1.02863			0.107829
$92$	6.64588	−	6.91609i	0.692880	−	0.721052i
$93$	−2.97474	−	9.14092i	−0.308466	−	0.947869i
$94$	−2.02061	−	6.22855i	−0.208410	−	0.642426i
$95$	5.76354	+	4.99414i	0.591327	+	0.512388i
$96$	−3.83064	+	9.01810i	−0.390963	+	0.920406i
$97$	−14.5302	−	2.08913i	−1.47532	−	0.212119i	−0.642765	−	0.766063i	$-0.722213\pi$
$97$	−14.5302	−	2.08913i	−1.47532	−	0.212119i	−0.832554	+	0.553945i	$0.813122\pi$
$98$	3.78067	−	8.93466i	0.381905	−	0.902537i
$99$	2.56194	−	4.54644i	0.257485	−	0.456934i
$100$	−7.46259	+	2.65490i	−0.746259	+	0.265490i
$101$	−2.68914	−	18.7034i	−0.267579	−	1.86106i	−0.471227	−	0.882012i	$-0.656189\pi$
$101$	−2.68914	−	18.7034i	−0.267579	−	1.86106i	0.203648	−	0.979044i	$-0.434720\pi$
$102$	14.4902	−	7.64573i	1.43474	−	0.757040i
$103$	−3.32991	−	11.3406i	−0.328105	−	1.11742i	−0.944096	−	0.329671i	$-0.893062\pi$
$103$	−3.32991	−	11.3406i	−0.328105	−	1.11742i	0.615991	−	0.787754i	$-0.288756\pi$
$104$	−6.77803	+	3.81539i	−0.664640	+	0.374130i
$105$	0.656308	+	0.0749965i	0.0640491	+	0.00731891i
$106$	3.44850	−	3.16208i	0.334948	−	0.307128i
$107$	−2.41638	+	2.09381i	−0.233600	+	0.202416i	−0.763793	−	0.645461i	$-0.776665\pi$
$107$	−2.41638	+	2.09381i	−0.233600	+	0.202416i	0.530193	+	0.847877i	$0.322120\pi$
$108$	8.74519	+	5.61441i	0.841506	+	0.540247i
$109$	−11.9445	+	7.67628i	−1.14408	+	0.735255i	−0.968452	−	0.249202i	$-0.919832\pi$
$109$	−11.9445	+	7.67628i	−1.14408	+	0.735255i	−0.175627	+	0.984457i	$0.556195\pi$
$110$	1.10568	+	2.25147i	0.105423	+	0.214669i
$111$	3.88668	−	14.8144i	0.368908	−	1.40612i
$112$	−0.167816	−	1.48676i	−0.0158571	−	0.140485i
$113$	−18.9092	−	5.55223i	−1.77883	−	0.522310i	−0.783719	−	0.621116i	$-0.786680\pi$
$113$	−18.9092	−	5.55223i	−1.77883	−	0.522310i	−0.995107	+	0.0988057i	$0.968498\pi$
$114$	−14.5086	−	11.1877i	−1.35885	−	1.04783i
$115$	4.88687	−	0.171710i	0.455703	−	0.0160121i
$116$	4.68712	−	12.0061i	0.435188	−	1.11474i
$117$	2.77957	+	7.76757i	0.256972	+	0.718112i
$118$	−0.125662	+	1.09076i	−0.0115681	+	0.100412i
$119$	−1.35261	+	2.10470i	−0.123993	+	0.192937i
$120$	−4.60285	+	1.94020i	−0.420181	+	0.177115i
$121$	6.70819	−	4.31109i	0.609835	−	0.391917i
$122$	7.93666	+	4.79097i	0.718552	+	0.433754i
$123$	12.4226	+	7.48324i	1.12011	+	0.674741i
$124$	−10.8091	−	2.52404i	−0.970685	−	0.226665i
$125$	−8.31051	−	3.79528i	−0.743315	−	0.339461i
$126$	−1.58441	−	0.0898602i	−0.141150	−	0.00800538i
$127$	6.89314	−	2.02401i	0.611667	−	0.179602i	0.0387961	−	0.999247i	$-0.487648\pi$
$127$	6.89314	−	2.02401i	0.611667	−	0.179602i	0.572871	+	0.819645i	$0.305830\pi$
$128$	6.62050	+	9.17436i	0.585175	+	0.810907i
$129$	−6.34393	+	3.12275i	−0.558552	+	0.274942i
$130$	−3.83459	−	1.00982i	−0.336315	−	0.0885674i
$131$	−3.35635	−	7.34939i	−0.293246	−	0.642119i	0.704465	−	0.709739i	$-0.251187\pi$
$131$	−3.35635	−	7.34939i	−0.293246	−	0.642119i	−0.997711	+	0.0676194i	$0.978460\pi$
$132$	−2.96073	−	5.24839i	−0.257699	−	0.456814i
$133$	2.76925	+	0.398158i	0.240124	+	0.0345247i
$134$	−8.97815	+	0.252349i	−0.775594	+	0.0217996i
$135$	1.20716	+	5.15870i	0.103896	+	0.443991i
$136$	1.10610	−	18.8858i	0.0948471	−	1.61944i
$137$	1.05143			0.0898300			0.0449150	−	0.998991i	$-0.485698\pi$
$137$	1.05143			0.0898300			0.0449150	+	0.998991i	$0.485698\pi$
$138$	−11.6974	+	1.08210i	−0.995748	+	0.0921142i
$139$		−	6.76275i		−	0.573609i	−0.957989	−	0.286805i	$-0.907407\pi$
$139$		−	6.76275i		−	0.573609i	0.957989	−	0.286805i	$-0.0925931\pi$
$140$	0.466340	−	0.603611i	0.0394129	−	0.0510144i
$141$	−3.11843	+	7.38864i	−0.262619	+	0.622235i
$142$	−0.260452	−	9.26645i	−0.0218567	−	0.777624i
$143$	0.680785	−	4.73497i	0.0569301	−	0.395958i
$144$	10.7736	−	5.28479i	0.897802	−	0.440399i
$145$	5.97689	−	2.72955i	0.496354	−	0.226677i
$146$	5.24161	+	1.38036i	0.433799	+	0.114239i
$147$	−10.6605	+	5.24753i	−0.879261	+	0.432809i
$148$	−12.3137	−	12.6939i	−1.01218	−	1.04343i
$149$	−0.627667	−	2.13764i	−0.0514205	−	0.175122i	0.929779	−	0.368118i	$-0.119998\pi$
$149$	−0.627667	−	2.13764i	−0.0514205	−	0.175122i	−0.981200	+	0.192996i	$0.938180\pi$
$150$	9.03996	+	3.51955i	0.738110	+	0.287370i
$151$	−1.14839	+	2.51462i	−0.0934546	+	0.204637i	−0.950586	−	0.310460i	$-0.899517\pi$
$151$	−1.14839	+	2.51462i	−0.0934546	+	0.204637i	0.857132	+	0.515097i	$0.172244\pi$
$152$	−19.7245	+	7.64811i	−1.59987	+	0.620344i
$153$	−19.5485	−	4.52673i	−1.58040	−	0.365964i
$154$	0.787781	+	0.475544i	0.0634812	+	0.0383204i
$155$	−3.05937	−	4.76047i	−0.245735	−	0.382371i
$156$	9.33558	+	1.89608i	0.747445	+	0.151808i
$157$	−13.0731	−	8.40157i	−1.04335	−	0.670518i	−0.0975343	−	0.995232i	$-0.531096\pi$
$157$	−13.0731	−	8.40157i	−1.04335	−	0.670518i	−0.945812	+	0.324714i	$0.894732\pi$
$158$	−19.9885	−	2.30279i	−1.59020	−	0.183200i
$159$	−5.72788	+	0.166286i	−0.454251	+	0.0131873i
$160$	−0.833982	+	5.70719i	−0.0659321	+	0.451193i
$161$	1.47412	−	1.02224i	0.116177	−	0.0805636i
$162$	−3.60285	−	12.2074i	−0.283067	−	0.959100i
$163$	0.282765	−	0.963010i	0.0221479	−	0.0754288i	−0.947678	−	0.319229i	$-0.896576\pi$
$163$	0.282765	−	0.963010i	0.0221479	−	0.0754288i	0.969825	+	0.243800i	$0.0783942\pi$
$164$	14.8178	−	7.80113i	1.15708	−	0.609166i
$165$	0.779595	−	2.97148i	0.0606914	−	0.231329i
$166$	1.79967	−	0.883810i	0.139681	−	0.0685969i
$167$	−9.31073	−	14.4878i	−0.720486	−	1.12110i	−0.987533	−	0.157415i	$-0.949684\pi$
$167$	−9.31073	−	14.4878i	−0.720486	−	1.12110i	0.267047	−	0.963684i	$-0.413952\pi$
$168$	−1.03571	+	1.51169i	−0.0799066	+	0.116630i
$169$	−3.56090	−	4.10950i	−0.273915	−	0.316115i
$170$	7.10857	−	6.51816i	0.545202	−	0.499920i
$171$	4.47647	+	21.9876i	0.342324	+	1.68144i
$172$	−0.706185	+	8.13412i	−0.0538461	+	0.620221i
$173$	22.2564	−	6.53508i	1.69212	−	0.496853i	0.713180	−	0.700981i	$-0.247254\pi$
$173$	22.2564	−	6.53508i	1.69212	−	0.496853i	0.978944	+	0.204128i	$0.0654359\pi$
$174$	−13.9609	+	7.36647i	−1.05837	+	0.558450i
$175$	−1.46630	+	0.210822i	−0.110842	+	0.0159367i
$176$	−6.95490	−	0.211503i	−0.524245	−	0.0159427i
$177$	0.990301	−	0.909735i	0.0744356	−	0.0683799i
$178$	−0.887322	+	2.09696i	−0.0665076	+	0.157174i
$179$	2.10565	−	14.6451i	0.157383	−	1.09463i	−0.746048	−	0.665893i	$-0.768051\pi$
$179$	2.10565	−	14.6451i	0.157383	−	1.09463i	0.903431	−	0.428733i	$-0.141040\pi$
$180$	5.81826	+	1.89044i	0.433668	+	0.140905i
$181$	1.65515	−	1.91015i	0.123027	−	0.141980i	−0.690895	−	0.722955i	$-0.742783\pi$
$181$	1.65515	−	1.91015i	0.123027	−	0.141980i	0.813921	+	0.580975i	$0.197329\pi$
$182$	−1.38370	+	0.448889i	−0.102567	+	0.0332739i
$183$	−3.51361	−	10.7968i	−0.259734	−	0.798121i
$184$	−5.92186	+	12.2038i	−0.436565	+	0.899673i
$185$		−	9.01597i		−	0.662867i
$186$	7.99068	+	10.9982i	0.585905	+	0.806425i
$187$	8.79312	+	7.61929i	0.643017	+	0.557177i
$188$	5.43624	+	7.49685i	0.396479	+	0.546764i
$189$	1.39571	+	1.35264i	0.101523	+	0.0983903i
$190$	−9.93253	−	4.20291i	−0.720582	−	0.304911i
$191$	−0.633980	−	1.38822i	−0.0458732	−	0.100448i	0.885308	−	0.465005i	$-0.153948\pi$
$191$	−0.633980	−	1.38822i	−0.0458732	−	0.100448i	−0.931181	+	0.364557i	$0.881220\pi$
$192$	1.21750	−	13.8028i	0.0878656	−	0.996132i
$193$	1.81358	+	12.6137i	0.130544	+	0.907955i	0.944846	+	0.327514i	$0.106211\pi$
$193$	1.81358	+	12.6137i	0.130544	+	0.907955i	−0.814302	+	0.580441i	$0.802880\pi$
$194$	20.4577	−	3.53064i	1.46878	−	0.253485i
$195$	2.74308	+	4.00764i	0.196436	+	0.286993i
$196$	−1.18669	+	13.6688i	−0.0847635	+	0.976340i
$197$	−4.59739	+	10.0669i	−0.327550	+	0.717235i	−0.999732	−	0.0231510i	$-0.992630\pi$
$197$	−4.59739	+	10.0669i	−0.327550	+	0.717235i	0.672182	+	0.740386i	$0.265357\pi$
$198$	−1.46227	+	7.23388i	−0.103919	+	0.514090i
$199$	−1.23604	+	1.07103i	−0.0876206	+	0.0759237i	−0.697570	−	0.716517i	$-0.745735\pi$
$199$	−1.23604	+	1.07103i	−0.0876206	+	0.0759237i	0.609949	+	0.792441i	$0.291190\pi$
$200$	8.88007	−	6.82802i	0.627916	−	0.482814i
$201$	8.51900	+	6.95937i	0.600884	+	0.490876i
$202$	11.7795	+	23.9862i	0.828804	+	1.68766i
$203$	1.30320	−	2.02782i	0.0914669	−	0.142325i
$204$	−16.1556	+	16.6085i	−1.13112	+	1.16283i
$205$	8.19135	+	2.40520i	0.572109	+	0.167986i
$206$	9.42839	+	13.8022i	0.656907	+	0.961646i
$207$	11.7027	+	8.36936i	0.813396	+	0.581711i
$208$	7.45276	−	8.09036i	0.516756	−	0.560966i
$209$	3.66560	−	12.4839i	0.253555	−	0.863528i
$210$	−0.915592	+	0.185525i	−0.0631818	+	0.0128025i
$211$	11.7236	−	18.2423i	0.807088	−	1.25585i	−0.156291	−	0.987711i	$-0.549954\pi$
$211$	11.7236	−	18.2423i	0.807088	−	1.25585i	0.963379	−	0.268143i	$-0.0864100\pi$
$212$	−3.25899	+	5.75854i	−0.223828	+	0.395498i
$213$	−7.18285	+	8.79256i	−0.492161	+	0.602456i
$214$	2.33678	−	3.87108i	0.159739	−	0.264622i
$215$	−3.14575	+	2.72581i	−0.214538	+	0.185899i
$216$	−14.2141	−	3.73612i	−0.967149	−	0.254211i
$217$	−1.88835	−	0.862381i	−0.128190	−	0.0585422i
$218$	12.7179	−	15.5387i	0.861362	−	1.05241i
$219$	−3.74960	−	5.47817i	−0.253374	−	0.370180i
$220$	−2.46990	−	2.54615i	−0.166520	−	0.171661i
$221$	−18.2062	+	2.61765i	−1.22468	+	0.176083i
$222$	1.23658	+	21.6244i	0.0829939	+	1.45133i
$223$	5.66359	+	12.4015i	0.379262	+	0.830468i	0.998959	+	0.0456266i	$0.0145284\pi$
$223$	5.66359	+	12.4015i	0.379262	+	0.830468i	−0.619696	+	0.784842i	$0.712744\pi$
$224$	0.874562	+	1.92675i	0.0584341	+	0.128736i
$225$	−5.55428	−	10.5030i	−0.370285	−	0.700197i
$226$	27.8596	−	0.783048i	1.85319	−	0.0520876i
$227$	3.80885	+	3.30039i	0.252802	+	0.219054i	0.772037	−	0.635577i	$-0.219238\pi$
$227$	3.80885	+	3.30039i	0.252802	+	0.219054i	−0.519235	+	0.854631i	$0.673783\pi$
$228$	24.3992	+	8.71820i	1.61587	+	0.577377i
$229$	−12.4495			−0.822685			−0.411343	−	0.911481i	$-0.634940\pi$
$229$	−12.4495			−0.822685			−0.411343	+	0.911481i	$0.634940\pi$
$230$	−6.49888	+	2.36360i	−0.428523	+	0.155851i
$231$	−0.348756	−	1.07167i	−0.0229464	−	0.0705108i
$232$	−1.06570	+	18.1960i	−0.0699665	+	1.19463i
$233$	−7.27304	−	6.30213i	−0.476473	−	0.412866i	0.383236	−	0.923650i	$-0.374810\pi$
$233$	−7.27304	−	6.30213i	−0.476473	−	0.412866i	−0.859709	+	0.510784i	$0.829355\pi$
$234$	−7.12882	−	9.23593i	−0.466025	−	0.603771i
$235$	−0.671871	+	4.67297i	−0.0438281	+	0.304831i
$236$	−0.306964	−	1.52212i	−0.0199816	−	0.0990818i
$237$	16.6712	+	18.1476i	1.08291	+	1.17881i
$238$	0.901040	−	3.42151i	0.0584058	−	0.221783i
$239$	−19.4887	+	2.80206i	−1.26062	+	0.181250i	−0.740041	−	0.672562i	$-0.765194\pi$
$239$	−19.4887	+	2.80206i	−1.26062	+	0.181250i	−0.520581	+	0.853812i	$0.674285\pi$
$240$	5.34505	−	4.61863i	0.345021	−	0.298131i
$241$	−4.21331	−	14.3492i	−0.271403	−	0.924313i	−0.976557	−	0.215259i	$-0.930940\pi$
$241$	−4.21331	−	14.3492i	−0.271403	−	0.924313i	0.705154	−	0.709054i	$-0.250878\pi$
$242$	−7.14250	+	8.72670i	−0.459137	+	0.560974i
$243$	−6.44285	+	14.1947i	−0.413309	+	0.910591i
$244$	−12.7671	−	2.98127i	−0.817333	−	0.190856i
$245$	−5.28619	+	4.58051i	−0.337722	+	0.292638i
$246$	−19.9765	−	4.64528i	−1.27365	−	0.296172i
$247$	11.1202	+	17.3034i	0.707563	+	1.10099i
$248$	15.6419	−	1.32172i	0.993259	−	0.0839294i
$249$	−2.37520	−	0.623155i	−0.150522	−	0.0394909i
$250$	12.8355	+	1.47873i	0.811791	+	0.0935229i
$251$	−0.264957	+	0.902361i	−0.0167240	+	0.0569565i	−0.967432	−	0.253130i	$-0.918540\pi$
$251$	−0.264957	+	0.902361i	−0.0167240	+	0.0569565i	0.950708	+	0.310087i	$0.100358\pi$
$252$	2.17056	−	0.570552i	0.136732	−	0.0359414i
$253$	−3.72993	−	7.46222i	−0.234499	−	0.469146i
$254$	−8.38937	+	5.73084i	−0.526396	+	0.359585i
$255$	−11.8072	+	0.342774i	−0.739395	+	0.0214653i
$256$	−12.9095	−	9.45217i	−0.806847	−	0.590761i
$257$	−1.13564	+	1.76709i	−0.0708391	+	0.110228i	−0.874866	−	0.484365i	$-0.839051\pi$
$257$	−1.13564	+	1.76709i	−0.0708391	+	0.110228i	0.804027	+	0.594593i	$0.202687\pi$
$258$	7.17108	−	6.96918i	0.446452	−	0.433882i
$259$	−1.78819	−	2.78249i	−0.111113	−	0.172895i
$260$	5.59896	−	0.314989i	0.347233	−	0.0195348i
$261$	18.8345	+	4.36139i	1.16582	+	0.269963i
$262$	7.72221	+	8.42168i	0.477080	+	0.520293i
$263$	3.12541	−	6.84369i	0.192721	−	0.422000i	−0.788461	−	0.615085i	$-0.789122\pi$
$263$	3.12541	−	6.84369i	0.192721	−	0.422000i	0.981182	+	0.193084i	$0.0618491\pi$
$264$	6.27315	+	5.76807i	0.386086	+	0.355000i
$265$	−3.23663	+	0.950361i	−0.198825	+	0.0583802i
$266$	−3.89894	+	0.672890i	−0.239060	+	0.0412575i
$267$	2.50201	−	1.23160i	0.153121	−	0.0753724i
$268$	11.9673	−	4.25749i	0.731017	−	0.260068i
$269$	3.38385	+	7.40959i	0.206317	+	0.451771i	0.984298	−	0.176517i	$-0.0564832\pi$
$269$	3.38385	+	7.40959i	0.206317	+	0.451771i	−0.777981	+	0.628288i	$0.783756\pi$
$270$	−3.87511	−	6.41268i	−0.235832	−	0.390263i
$271$	−0.829901	+	5.77209i	−0.0504129	+	0.350629i	0.948966	+	0.315379i	$0.102132\pi$
$271$	−0.829901	+	5.77209i	−0.0504129	+	0.350629i	−0.999379	+	0.0352498i	$0.988777\pi$
$272$	6.75378	+	25.8878i	0.409508	+	1.56968i
$273$	1.64142	+	0.692776i	0.0993435	+	0.0419287i
$274$	−1.41439	+	0.458842i	−0.0854461	+	0.0277197i
$275$			6.88921i			0.415435i
$276$	15.2631	−	6.56034i	0.918730	−	0.394886i
$277$			23.7306i			1.42583i	0.701248	+	0.712917i	$0.252627\pi$
$277$			23.7306i			1.42583i	−0.701248	+	0.712917i	$0.747373\pi$
$278$	2.95124	+	9.09724i	0.177004	+	0.545616i
$279$	1.40945	−	16.5901i	0.0843817	−	0.993220i
$280$	−0.363906	+	1.01549i	−0.0217475	+	0.0606868i
$281$	−2.60129	+	18.0924i	−0.155180	+	1.07930i	0.752184	+	0.658954i	$0.229001\pi$
$281$	−2.60129	+	18.0924i	−0.155180	+	1.07930i	−0.907364	+	0.420347i	$0.861908\pi$
$282$	0.970534	−	11.3001i	0.0577945	−	0.672908i
$283$	12.0181	+	26.3159i	0.714401	+	1.56432i	0.821589	+	0.570080i	$0.193088\pi$
$283$	12.0181	+	26.3159i	0.714401	+	1.56432i	−0.107188	+	0.994239i	$0.534185\pi$
$284$	4.39421	+	12.3516i	0.260748	+	0.732930i
$285$	5.83361	+	11.8511i	0.345553	+	0.701998i
$286$	1.15053	+	6.66656i	0.0680325	+	0.394202i
$287$	3.00503	−	0.882357i	0.177381	−	0.0520839i
$288$	−12.1864	+	11.8107i	−0.718090	+	0.695950i
$289$	11.5224	−	25.2305i	0.677787	−	1.48415i
$290$	−6.84893	+	6.28008i	−0.402183	+	0.368779i
$291$	−21.7795	−	13.1198i	−1.27674	−	0.769094i
$292$	−7.65339	+	0.430568i	−0.447881	+	0.0251971i
$293$	−4.43826	−	6.90607i	−0.259286	−	0.403457i	0.687066	−	0.726595i	$-0.258898\pi$
$293$	−4.43826	−	6.90607i	−0.259286	−	0.403457i	−0.946352	+	0.323139i	$0.895262\pi$
$294$	12.0504	−	11.7112i	0.702796	−	0.683009i
$295$	0.427977	−	0.665945i	0.0249178	−	0.0387728i
$296$	22.1040	+	11.7021i	1.28477	+	0.680172i
$297$	7.15022	−	5.52949i	0.414898	−	0.320854i
$298$	1.77719	+	2.60163i	0.102950	+	0.150709i
$299$	12.7769	+	3.26896i	0.738905	+	0.189049i
$300$	−13.6965	−	0.789484i	−0.790765	−	0.0455809i
$301$	−0.430206	+	1.46515i	−0.0247967	+	0.0844498i
$302$	0.447438	−	3.88382i	0.0257472	−	0.223489i
$303$	8.30549	−	31.6570i	0.477138	−	1.81864i
$304$	23.1958	−	18.8960i	1.33037	−	1.08376i
$305$	−3.61357	−	5.62283i	−0.206913	−	0.321962i
$306$	28.2720	−	2.44154i	1.61620	−	0.139573i
$307$	−2.39167	+	2.07239i	−0.136500	+	0.118278i	−0.720435	−	0.693523i	$-0.756058\pi$
$307$	−2.39167	+	2.07239i	−0.136500	+	0.118278i	0.583935	+	0.811800i	$0.301512\pi$
$308$	−1.26725	−	0.295916i	−0.0722081	−	0.0168614i
$309$	2.32419	−	20.3394i	0.132219	−	1.15707i
$310$	6.19292	+	5.06868i	0.351734	+	0.287882i
$311$	2.14585	+	7.30810i	0.121680	+	0.414404i	0.997693	−	0.0678829i	$-0.0216244\pi$
$311$	2.14585	+	7.30810i	0.121680	+	0.414404i	−0.876013	+	0.482287i	$0.839806\pi$
$312$	−13.3857	+	1.52341i	−0.757813	+	0.0862461i
$313$	15.2994	−	2.19972i	0.864773	−	0.124336i	0.304368	−	0.952554i	$-0.401555\pi$
$313$	15.2994	−	2.19972i	0.864773	−	0.124336i	0.560405	+	0.828219i	$0.310646\pi$
$314$	21.2523	+	5.59672i	1.19934	+	0.315841i
$315$	0.996790	+	0.561697i	0.0561627	+	0.0316480i
$316$	27.8934	−	5.62520i	1.56913	−	0.316442i
$317$	−2.02134	+	14.0587i	−0.113530	+	0.789617i	0.850909	+	0.525312i	$0.176052\pi$
$317$	−2.02134	+	14.0587i	−0.113530	+	0.789617i	−0.964439	+	0.264305i	$0.914858\pi$
$318$	7.63257	−	2.72332i	0.428013	−	0.152716i
$319$	−8.47196	−	7.34099i	−0.474338	−	0.411017i
$320$	−1.36873	−	8.04124i	−0.0765142	−	0.449519i
$321$	−5.26610	+	1.71375i	−0.293925	+	0.0956524i
$322$	−1.53688	+	2.01841i	−0.0856470	+	0.112482i
$323$	−50.0276			−2.78361
$324$	10.1738	+	14.8490i	0.565211	+	0.824946i
$325$	−8.23084	−	7.13207i	−0.456565	−	0.395616i
$326$	0.0398792	+	1.41884i	0.00220871	+	0.0785821i
$327$	−24.2304	+	4.20478i	−1.33994	+	0.232525i
$328$	−16.5285	+	16.9605i	−0.912635	+	0.936488i
$329$	0.719468	+	1.57542i	0.0396656	+	0.0868555i
$330$	0.248035	+	4.33744i	0.0136539	+	0.238768i
$331$	23.6766	−	3.40418i	1.30138	−	0.187111i	0.543450	−	0.839442i	$-0.317118\pi$
$331$	23.6766	−	3.40418i	1.30138	−	0.187111i	0.757934	+	0.652331i	$0.226209\pi$
$332$	−2.03522	+	1.97427i	−0.111697	+	0.108352i
$333$	16.1796	−	21.0223i	0.886636	−	1.15201i
$334$	18.8472	+	15.4258i	1.03127	+	0.844060i
$335$	5.89039	+	2.69005i	0.321826	+	0.146973i
$336$	0.733534	−	2.48551i	0.0400176	−	0.135596i
$337$	−7.34385	+	6.36348i	−0.400045	+	0.346641i	−0.831531	−	0.555479i	$-0.812535\pi$
$337$	−7.34385	+	6.36348i	−0.400045	+	0.346641i	0.431486	+	0.902120i	$0.357990\pi$
$338$	6.58349	+	3.97412i	0.358095	+	0.216164i
$339$	−26.4348	−	21.5952i	−1.43574	−	1.17289i
$340$	−6.71793	+	11.8704i	−0.364331	+	0.643761i
$341$	−5.21950	+	8.12170i	−0.282652	+	0.439814i
$342$	−15.6171	−	27.6242i	−0.844474	−	1.49375i
$343$	−1.46060	+	4.97435i	−0.0788651	+	0.268590i
$344$	−2.59975	−	11.2502i	−0.140169	−	0.606569i
$345$	7.91385	+	3.01729i	0.426067	+	0.162445i
$346$	−27.0874	+	18.5036i	−1.45623	+	0.994760i
$347$	18.2152	+	5.34847i	0.977844	+	0.287121i	0.731334	−	0.682019i	$-0.238898\pi$
$347$	18.2152	+	5.34847i	0.977844	+	0.287121i	0.246510	+	0.969140i	$0.420716\pi$
$348$	15.5655	−	16.0019i	0.834399	−	0.857790i
$349$	8.45621	−	13.1581i	0.452650	−	0.704338i	−0.537667	−	0.843157i	$-0.680694\pi$
$349$	8.45621	−	13.1581i	0.452650	−	0.704338i	0.990318	+	0.138819i	$0.0443308\pi$
$350$	1.88047	−	0.923488i	0.100515	−	0.0493625i
$351$	−0.795949	+	14.2671i	−0.0424846	+	0.761521i
$352$	9.44802	−	2.75058i	0.503581	−	0.146607i
$353$	−16.6212	+	14.4024i	−0.884659	+	0.766562i	−0.973308	−	0.229501i	$-0.926290\pi$
$353$	−16.6212	+	14.4024i	−0.884659	+	0.766562i	0.0886492	+	0.996063i	$0.471745\pi$
$354$	−0.935146	+	1.65594i	−0.0497024	+	0.0880121i
$355$	−2.77643	+	6.07954i	−0.147358	+	0.322669i
$356$	0.278516	−	3.20806i	0.0147613	−	0.170027i
$357$	−3.57592	+	2.44758i	−0.189258	+	0.129540i
$358$	3.55856	+	20.6195i	0.188076	+	1.08977i
$359$	−1.58743	−	11.0408i	−0.0837812	−	0.582711i	−0.987860	−	0.155346i	$-0.950351\pi$
$359$	−1.58743	−	11.0408i	−0.0837812	−	0.582711i	0.904079	−	0.427365i	$-0.140558\pi$
$360$	−8.65170	−	0.00393964i	−0.455985	−	0.000207637i
$361$	15.3471	+	33.6054i	0.807740	+	1.76870i
$362$	−1.39293	+	3.29184i	−0.0732106	+	0.173015i
$363$	13.6081	−	2.36146i	0.714238	−	0.123944i
$364$	1.66546	−	1.20769i	0.0872940	−	0.0633001i
$365$	−2.95341	−	2.55914i	−0.154588	−	0.133952i
$366$	9.43819	+	12.9905i	0.493342	+	0.679023i
$367$		−	6.43777i		−	0.336049i	−0.985783	−	0.168024i	$-0.946261\pi$
$367$		−	6.43777i		−	0.336049i	0.985783	−	0.168024i	$-0.0537388\pi$
$368$	2.64039	−	19.0007i	0.137640	−	0.990482i
$369$	14.7833	+	20.3079i	0.769588	+	1.05719i
$370$	3.93454	+	12.1283i	0.204547	+	0.630518i
$371$	−0.810390	+	0.935240i	−0.0420734	+	0.0485553i
$372$	−15.5486	−	11.3076i	−0.806159	−	0.586273i
$373$	0.277240	−	1.92825i	0.0143550	−	0.0998409i	−0.981384	−	0.192054i	$-0.938485\pi$
$373$	0.277240	−	1.92825i	0.0143550	−	0.0998409i	0.995739	+	0.0922133i	$0.0293942\pi$
$374$	−15.1535	−	6.41216i	−0.783570	−	0.331565i
$375$	−10.7053	−	11.6534i	−0.552822	−	0.601780i
$376$	−10.5844	−	7.71239i	−0.545850	−	0.397736i
$377$	17.5412	−	2.52205i	0.903418	−	0.129892i
$378$	−2.46779	−	1.21049i	−0.126930	−	0.0622609i
$379$	−15.4066	+	4.52379i	−0.791385	+	0.232372i	−0.652352	−	0.757916i	$-0.726218\pi$
$379$	−15.4066	+	4.52379i	−0.791385	+	0.232372i	−0.139033	+	0.990288i	$0.544399\pi$
$380$	15.1954	+	1.31923i	0.779505	+	0.0676748i
$381$	12.3629	+	1.41271i	0.633368	+	0.0723753i
$382$	1.45865	+	1.59077i	0.0746308	+	0.0813908i
$383$	−16.6501	−	19.2152i	−0.850779	−	0.981852i	0.149196	−	0.988808i	$-0.452331\pi$
$383$	−16.6501	−	19.2152i	−0.850779	−	0.981852i	−0.999976	+	0.00695571i	$0.997786\pi$
$384$	4.38572	+	19.0988i	0.223808	+	0.974633i
$385$	−0.358678	−	0.558113i	−0.0182799	−	0.0284441i
$386$	−7.94421	−	16.1765i	−0.404350	−	0.823363i
$387$	−12.2264	+	0.710489i	−0.621505	+	0.0361162i
$388$	−25.9789	+	13.6771i	−1.31888	+	0.694349i
$389$	7.93260	−	27.0160i	0.402199	−	1.36976i	−0.470885	−	0.882195i	$-0.656065\pi$
$389$	7.93260	−	27.0160i	0.402199	−	1.36976i	0.873084	−	0.487570i	$-0.162116\pi$
$390$	−5.43891	−	4.19400i	−0.275410	−	0.212372i
$391$	−23.4898	+	21.8445i	−1.18793	+	1.10472i
$392$	−4.36867	−	18.9051i	−0.220651	−	0.954849i
$393$	−0.406092	−	13.9882i	−0.0204846	−	0.705614i
$394$	1.79125	−	15.5482i	0.0902416	−	0.783309i
$395$	12.2037	+	7.84281i	0.614033	+	0.394615i
$396$	−1.18980	−	10.3691i	−0.0597897	−	0.521069i
$397$	−8.21389	−	12.7811i	−0.412243	−	0.641463i	0.571592	−	0.820538i	$-0.306326\pi$
$397$	−8.21389	−	12.7811i	−0.412243	−	0.641463i	−0.983835	+	0.179075i	$0.942690\pi$
$398$	1.19532	−	1.98016i	0.0599161	−	0.0992564i
$399$	4.15086	+	2.50044i	0.207803	+	0.125179i
$400$	−8.96573	+	13.0603i	−0.448286	+	0.653014i
$401$	−9.88976	+	21.6556i	−0.493871	+	1.08143i	0.484542	+	0.874768i	$0.338986\pi$
$401$	−9.88976	+	21.6556i	−0.493871	+	1.08143i	−0.978413	+	0.206659i	$0.933741\pi$
$402$	−14.4968	−	5.64407i	−0.723034	−	0.281501i
$403$	−4.29985	−	14.6440i	−0.214191	−	0.729468i
$404$	−26.3133	−	27.1257i	−1.30914	−	1.34955i
$405$	−1.54806	+	9.04499i	−0.0769235	+	0.449449i
$406$	−0.868130	+	3.29654i	−0.0430846	+	0.163604i
$407$	−13.9918	+	6.38986i	−0.693549	+	0.316733i
$408$	14.4846	−	29.3919i	0.717093	−	1.45512i
$409$	0.770204	−	5.35689i	0.0380842	−	0.264881i	−0.961879	−	0.273476i	$-0.911827\pi$
$409$	0.770204	−	5.35689i	0.0380842	−	0.264881i	0.999963	+	0.00859458i	$0.00273577\pi$
$410$	−12.0686	+	0.339212i	−0.596026	+	0.0167525i
$411$	1.67782	+	0.708137i	0.0827607	+	0.0349298i
$412$	−18.7063	−	14.4522i	−0.921593	−	0.712009i
$413$		−	0.290406i		−	0.0142899i
$414$	−19.3948	−	6.15141i	−0.953205	−	0.302325i
$415$	−1.44554			−0.0709587
$416$	−6.49483	+	14.1355i	−0.318435	+	0.693050i
$417$	4.55469	−	10.7916i	0.223044	−	0.528468i
$418$	0.516971	+	18.3930i	0.0252859	+	0.899629i
$419$	−5.37227	−	0.772416i	−0.262453	−	0.0377350i	0.00983231	−	0.999952i	$-0.496870\pi$
$419$	−5.37227	−	0.772416i	−0.262453	−	0.0377350i	−0.272285	+	0.962217i	$0.587779\pi$
$420$	1.15069	−	0.649130i	0.0561479	−	0.0316743i
$421$	5.87299	+	12.8600i	0.286232	+	0.626760i	0.997062	−	0.0766038i	$-0.0244077\pi$
$421$	5.87299	+	12.8600i	0.286232	+	0.626760i	−0.710830	+	0.703364i	$0.751680\pi$
$422$	−7.80972	+	29.6557i	−0.380171	+	1.44362i
$423$	−9.95245	+	9.69012i	−0.483905	+	0.471150i
$424$	1.87098	−	9.16858i	0.0908629	−	0.445266i
$425$	25.4164	−	7.46292i	1.23287	−	0.362005i
$426$	5.82531	−	14.9623i	0.282237	−	0.724926i
$427$	−2.23042	−	1.01860i	−0.107938	−	0.0492935i
$428$	−1.45410	+	6.22714i	−0.0702867	+	0.301000i
$429$	4.27535	−	7.09729i	0.206416	−	0.342660i
$430$	3.04212	−	5.03955i	0.146704	−	0.243029i
$431$	2.85980	−	1.83788i	0.137752	−	0.0885275i	−0.469950	−	0.882693i	$-0.655728\pi$
$431$	2.85980	−	1.83788i	0.137752	−	0.0885275i	0.607702	+	0.794166i	$0.292092\pi$
$432$	20.7512	−	1.17717i	0.998395	−	0.0566367i
$433$	13.3721	−	20.8074i	0.642621	−	0.999938i	−0.355253	−	0.934770i	$-0.615605\pi$
$433$	13.3721	−	20.8074i	0.642621	−	0.999938i	0.997874	−	0.0651680i	$-0.0207583\pi$
$434$	2.91655	+	0.336003i	0.139999	+	0.0161287i
$435$	11.3759	−	0.330254i	0.545434	−	0.0158345i
$436$	−10.3270	+	26.4526i	−0.494574	+	1.26685i
$437$	33.1323	+	13.7463i	1.58493	+	0.657573i
$438$	7.43461	+	5.73291i	0.355239	+	0.273929i
$439$	−16.9438	−	4.97516i	−0.808685	−	0.237451i	−0.148848	−	0.988860i	$-0.547556\pi$
$439$	−16.9438	−	4.97516i	−0.808685	−	0.237451i	−0.659837	+	0.751409i	$0.729375\pi$
$440$	4.43363	+	2.34722i	0.211365	+	0.111899i
$441$	−20.5456	+	1.19392i	−0.978362	+	0.0568534i
$442$	23.3486	−	11.4664i	1.11058	−	0.545400i
$443$	24.8040	−	15.9406i	1.17847	−	0.757359i	0.203369	−	0.979102i	$-0.434811\pi$
$443$	24.8040	−	15.9406i	1.17847	−	0.757359i	0.975105	+	0.221743i	$0.0711746\pi$
$444$	−11.1003	−	28.5495i	−0.526795	−	1.35490i
$445$	1.24067	−	1.07505i	0.0588133	−	0.0509620i
$446$	−13.0306	−	14.2109i	−0.617019	−	0.672908i
$447$	0.438096	−	3.83386i	0.0207212	−	0.181335i
$448$	−2.01728	−	2.21020i	−0.0953077	−	0.104422i
$449$	−1.68895	−	5.75203i	−0.0797064	−	0.271455i	0.909991	−	0.414627i	$-0.136088\pi$
$449$	−1.68895	−	5.75203i	−0.0797064	−	0.271455i	−0.989698	+	0.143172i	$0.954270\pi$
$450$	12.0551	+	11.7047i	0.568281	+	0.551765i
$451$	−2.07281	−	14.4167i	−0.0976050	−	0.678858i
$452$	−37.1349	+	13.2112i	−1.74668	+	0.621402i
$453$	−3.52613	+	3.23926i	−0.165672	+	0.152194i
$454$	−6.56393	−	2.77750i	−0.308061	−	0.130355i
$455$	1.03812	+	0.149260i	0.0486680	+	0.00699740i
$456$	−36.6263	−	1.07999i	−1.71518	−	0.0505751i
$457$	15.9092	+	13.7854i	0.744203	+	0.644855i	0.942086	−	0.335370i	$-0.108861\pi$
$457$	15.9092	+	13.7854i	0.744203	+	0.644855i	−0.197884	+	0.980225i	$0.563407\pi$
$458$	16.7470	−	5.43292i	0.782537	−	0.253863i
$459$	−28.1456	−	20.3893i	−1.31372	−	0.951693i
$460$	7.71081	−	6.01560i	0.359519	−	0.280479i
$461$	6.85382			0.319214			0.159607	−	0.987181i	$-0.448977\pi$
$461$	6.85382			0.319214			0.159607	+	0.987181i	$0.448977\pi$
$462$	0.936820	+	1.28942i	0.0435848	+	0.0599890i
$463$	−27.6689	+	31.9316i	−1.28588	+	1.48399i	−0.499410	+	0.866366i	$0.666450\pi$
$463$	−27.6689	+	31.9316i	−1.28588	+	1.48399i	−0.786474	+	0.617623i	$0.788096\pi$
$464$	−6.50710	−	24.9423i	−0.302084	−	1.15792i
$465$	−1.67581	−	9.65698i	−0.0777138	−	0.447832i
$466$	12.5339	+	5.30368i	0.580622	+	0.245688i
$467$	−17.1323	+	7.82406i	−0.792788	+	0.362054i	−0.770291	−	0.637693i	$-0.779889\pi$
$467$	−17.1323	+	7.82406i	−0.792788	+	0.362054i	−0.0224974	+	0.999747i	$0.507162\pi$
$468$	13.6202	+	9.31316i	0.629594	+	0.430501i
$469$	2.35141	−	0.338082i	0.108578	−	0.0156112i
$470$	−1.13547	−	6.57927i	−0.0523752	−	0.303479i
$471$	−15.2029	−	22.2114i	−0.700512	−	1.02345i
$472$	1.07718	+	1.91360i	0.0495811	+	0.0880806i
$473$	6.45964	+	2.95002i	0.297015	+	0.135642i
$474$	−30.3456	−	17.1368i	−1.39382	−	0.787121i
$475$	−19.3983	−	22.3868i	−0.890054	−	1.02718i
$476$	0.281057	+	4.99581i	0.0128822	+	0.228983i
$477$	−9.25224	−	3.59236i	−0.423631	−	0.164483i
$478$	24.9934	−	12.2741i	1.14317	−	0.561407i
$479$	3.24207	+	2.08355i	0.148134	+	0.0951998i	0.612608	−	0.790387i	$-0.290120\pi$
$479$	3.24207	+	2.08355i	0.148134	+	0.0951998i	−0.464474	+	0.885587i	$0.653757\pi$
$480$	−5.17460	+	8.54553i	−0.236187	+	0.390048i
$481$	6.85082	−	23.3318i	0.312371	−	1.06384i
$482$	11.9297	+	17.4638i	0.543382	+	0.795456i
$483$	3.04079	−	0.638416i	0.138361	−	0.0290489i
$484$	5.79977	−	14.8561i	0.263626	−	0.675278i
$485$	−14.3612	−	4.21684i	−0.652110	−	0.191477i
$486$	2.47238	−	21.9063i	0.112149	−	0.993691i
$487$	27.9538	+	17.9648i	1.26671	+	0.814063i	0.989187	−	0.146657i	$-0.0468513\pi$
$487$	27.9538	+	17.9648i	1.26671	+	0.814063i	0.277519	+	0.960720i	$0.410488\pi$
$488$	18.4754	−	1.56115i	0.836340	−	0.0706699i
$489$	1.09981	−	1.34628i	0.0497349	−	0.0608808i
$490$	5.11205	−	8.46857i	0.230939	−	0.382571i
$491$	5.68619	+	6.56222i	0.256614	+	0.296149i	0.869409	−	0.494094i	$-0.164500\pi$
$491$	5.68619	+	6.56222i	0.256614	+	0.296149i	−0.612794	+	0.790242i	$0.709955\pi$
$492$	28.8995	−	2.46885i	1.30289	−	0.111304i
$493$	−17.9056	+	39.2079i	−0.806430	+	1.76584i
$494$	−22.5101	−	18.4237i	−1.01278	−	0.828921i
$495$	3.24532	−	4.21667i	0.145866	−	0.189525i
$496$	−20.4646	+	8.60403i	−0.918888	+	0.386332i
$497$	0.348939	+	2.42692i	0.0156520	+	0.108862i
$498$	3.46706	−	0.198262i	0.155363	−	0.00888434i
$499$	−18.7013	+	8.54058i	−0.837184	+	0.382329i	−0.787409	−	0.616431i	$-0.788578\pi$
$499$	−18.7013	+	8.54058i	−0.837184	+	0.382329i	−0.0497751	+	0.998760i	$0.515850\pi$
$500$	−17.9116	+	3.61221i	−0.801033	+	0.161543i
$501$	−5.10007	−	29.3896i	−0.227854	−	1.31303i
$502$	−0.0373677	−	1.32948i	−0.00166780	−	0.0593377i
$503$	−17.3677	+	20.0434i	−0.774386	+	0.893689i	−0.996691	−	0.0812880i	$-0.974097\pi$
$503$	−17.3677	+	20.0434i	−0.774386	+	0.893689i	0.222305	+	0.974977i	$0.428642\pi$
$504$	−2.67085	+	1.71473i	−0.118969	+	0.0763802i
$505$		−	19.2663i		−	0.857339i
$506$	8.27399	+	8.41043i	0.367824	+	0.373889i
$507$	−2.91455	−	8.95597i	−0.129440	−	0.397749i
$508$	8.78444	−	11.3702i	0.389747	−	0.504471i
$509$	−7.46730	+	8.61773i	−0.330982	+	0.381974i	−0.896710	−	0.442618i	$-0.854050\pi$
$509$	−7.46730	+	8.61773i	−0.330982	+	0.381974i	0.565728	+	0.824592i	$0.308595\pi$
$510$	15.7334	−	5.61372i	0.696688	−	0.248580i
$511$	−1.41904	−	0.204028i	−0.0627748	−	0.00902565i
$512$	21.4908	+	7.08135i	0.949768	+	0.312955i
$513$	−7.66531	+	38.1016i	−0.338432	+	1.68222i
$514$	0.756507	−	2.87267i	0.0333681	−	0.126708i
$515$	−1.71506	−	11.9285i	−0.0755747	−	0.525634i
$516$	−6.60520	+	12.5044i	−0.290778	+	0.550474i
$517$	7.72813	−	2.26918i	0.339883	−	0.0997985i
$518$	3.61974	+	2.96263i	0.159042	+	0.130171i
$519$	39.9169	+	4.56132i	1.75216	+	0.200220i
$520$	−7.39425	+	2.86709i	−0.324259	+	0.125730i
$521$	16.0652	+	18.5402i	0.703828	+	0.812261i	0.989264	−	0.146137i	$-0.0466840\pi$
$521$	16.0652	+	18.5402i	0.703828	+	0.812261i	−0.285437	+	0.958398i	$0.592139\pi$
$522$	−27.2394	+	2.35236i	−1.19223	+	0.102960i
$523$	−5.71679	+	3.67396i	−0.249978	+	0.160651i	−0.659629	−	0.751591i	$-0.729287\pi$
$523$	−5.71679	+	3.67396i	−0.249978	+	0.160651i	0.409652	+	0.912242i	$0.365650\pi$
$524$	−14.0631	−	7.95888i	−0.614349	−	0.347685i
$525$	−2.48183	−	0.651132i	−0.108316	−	0.0284177i
$526$	−1.21773	+	10.5700i	−0.0530955	+	0.460876i
$527$	35.6175	+	10.4582i	1.55152	+	0.455568i
$528$	−10.9558	−	5.02161i	−0.476790	−	0.218538i
$529$	21.5591	−	8.01279i	0.937353	−	0.348382i
$530$	3.93918	−	2.69088i	0.171107	−	0.116884i
$531$	2.19297	−	0.784740i	0.0951669	−	0.0340548i
$532$	4.95120	−	2.60666i	0.214662	−	0.113013i
$533$	19.3702	+	12.4485i	0.839016	+	0.539203i
$534$	−2.82824	+	2.74861i	−0.122390	+	0.118944i
$535$	−2.74252	+	1.76251i	−0.118569	+	0.0761999i
$536$	−14.2404	+	10.9496i	−0.615091	+	0.472953i
$537$	13.2235	−	21.9517i	0.570637	−	0.947286i
$538$	−7.78547	−	8.49067i	−0.335655	−	0.366059i
$539$	10.8549	+	4.95728i	0.467555	+	0.213525i
$540$	8.01126	+	6.93524i	0.344750	+	0.298445i
$541$	8.60065	+	29.2911i	0.369771	+	1.25932i	0.908869	+	0.417081i	$0.136947\pi$
$541$	8.60065	+	29.2911i	0.369771	+	1.25932i	−0.539098	+	0.842243i	$0.681235\pi$
$542$	−1.40254	−	8.12677i	−0.0602442	−	0.349074i
$543$	3.92769	−	1.93337i	0.168553	−	0.0829689i
$544$	−20.3825	−	31.8769i	−0.873894	−	1.36671i
$545$	−13.1687	+	6.01395i	−0.564085	+	0.257609i
$546$	−2.51037	−	0.215609i	−0.107434	−	0.00922722i
$547$	18.9686	+	2.72727i	0.811039	+	0.116610i	0.535343	−	0.844635i	$-0.320183\pi$
$547$	18.9686	+	2.72727i	0.811039	+	0.116610i	0.275696	+	0.961245i	$0.411092\pi$
$548$	1.70239	−	1.23447i	0.0727226	−	0.0527338i
$549$	1.66477	−	19.5953i	0.0710508	−	0.836308i
$550$	−3.00643	−	9.26736i	−0.128195	−	0.395161i
$551$	48.2004			2.05341
$552$	−17.6690	+	15.4857i	−0.752041	+	0.659116i
$553$	5.32178			0.226305
$554$	−10.3560	−	31.9224i	−0.439983	−	1.35625i
$555$	6.07223	−	14.3872i	0.257752	−	0.610702i
$556$	−7.94002	−	10.9497i	−0.336732	−	0.464370i
$557$	−10.1524	−	1.45970i	−0.430171	−	0.0618493i	−0.0761713	−	0.997095i	$-0.524270\pi$
$557$	−10.1524	−	1.45970i	−0.430171	−	0.0618493i	−0.354000	+	0.935245i	$0.615179\pi$
$558$	5.34385	+	22.9320i	0.226223	+	0.970788i
$559$	−10.2119	+	4.66361i	−0.431916	+	0.197249i
$560$	0.0463713	−	1.52484i	0.00195954	−	0.0644361i
$561$	8.90002	+	18.0806i	0.375759	+	0.763363i
$562$	−4.39620	−	25.4730i	−0.185443	−	1.07451i
$563$	−3.19608	−	10.8848i	−0.134699	−	0.458741i	0.864324	−	0.502935i	$-0.167746\pi$
$563$	−3.19608	−	10.8848i	−0.134699	−	0.458741i	−0.999023	+	0.0441935i	$0.985928\pi$
$564$	3.62575	+	15.6243i	0.152671	+	0.657904i
$565$	−18.2781	−	8.34734i	−0.768967	−	0.351175i
$566$	−27.6509	−	30.1555i	−1.16225	−	1.26753i
$567$	1.31619	+	3.09848i	0.0552750	+	0.130124i
$568$	−11.3013	−	14.6977i	−0.474190	−	0.616700i
$569$	5.85128	−	3.76039i	0.245298	−	0.157644i	−0.412215	−	0.911087i	$-0.635245\pi$
$569$	5.85128	−	3.76039i	0.245298	−	0.157644i	0.657513	+	0.753443i	$0.271608\pi$
$570$	−13.0191	−	13.3963i	−0.545312	−	0.561110i
$571$	−2.60600	−	1.67477i	−0.109058	−	0.0700871i	0.484975	−	0.874528i	$-0.338829\pi$
$571$	−2.60600	−	1.67477i	−0.109058	−	0.0700871i	−0.594033	+	0.804441i	$0.702465\pi$
$572$	−4.45696	−	8.46576i	−0.186355	−	0.353971i
$573$	−0.0767065	−	2.64223i	−0.00320446	−	0.110381i
$574$	−3.65731	+	2.49833i	−0.152653	+	0.104278i
$575$	−18.8834	−	2.04120i	−0.787491	−	0.0851239i
$576$	11.2390	−	21.2058i	0.468291	−	0.883574i
$577$	−9.20513	−	2.70287i	−0.383214	−	0.112522i	0.0844506	−	0.996428i	$-0.473086\pi$
$577$	−9.20513	−	2.70287i	−0.383214	−	0.112522i	−0.467665	+	0.883906i	$0.654905\pi$
$578$	−4.48938	+	38.9684i	−0.186734	+	1.62087i
$579$	−5.60129	+	21.3497i	−0.232782	+	0.887264i
$580$	6.47256	−	11.4368i	0.268758	−	0.474888i
$581$	−0.446118	+	0.286703i	−0.0185081	+	0.0118944i
$582$	35.0231	+	8.14419i	1.45176	+	0.337587i
$583$	3.76875	+	4.34937i	0.156086	+	0.180132i
$584$	10.1074	−	3.91911i	0.418248	−	0.162174i
$585$	1.67812	+	8.24263i	0.0693817	+	0.340791i
$586$	8.98412	+	7.35318i	0.371131	+	0.303757i
$587$	39.3818	−	11.5636i	1.62546	−	0.477279i	0.662983	−	0.748634i	$-0.269290\pi$
$587$	39.3818	−	11.5636i	1.62546	−	0.477279i	0.962479	+	0.271356i	$0.0874719\pi$
$588$	−11.0995	+	21.0126i	−0.457737	+	0.866546i
$589$	−5.90765	−	41.0886i	−0.243420	−	1.69303i
$590$	−0.285097	+	1.08260i	−0.0117373	+	0.0445698i
$591$	−14.1163	+	12.9678i	−0.580666	+	0.533426i
$592$	−34.8410	−	6.09557i	−1.43196	−	0.250526i
$593$	28.2388	+	4.06013i	1.15963	+	0.166730i	0.695157	−	0.718858i	$-0.255335\pi$
$593$	28.2388	+	4.06013i	1.15963	+	0.166730i	0.464473	+	0.885587i	$0.346244\pi$
$594$	−7.20541	+	10.5586i	−0.295642	+	0.433224i
$595$	−1.67050	+	1.92786i	−0.0684838	+	0.0790346i
$596$	−3.52602	−	2.72415i	−0.144432	−	0.111586i
$597$	−2.69374	+	0.876629i	−0.110248	+	0.0358780i
$598$	−18.6140	+	1.17839i	−0.761182	+	0.0481878i
$599$		−	27.4497i		−	1.12156i	−0.827964	−	0.560781i	$-0.810501\pi$
$599$		−	27.4497i		−	1.12156i	0.827964	−	0.560781i	$-0.189499\pi$
$600$	18.7690	−	4.91508i	0.766240	−	0.200657i
$601$	11.0606	−	12.7647i	0.451173	−	0.520681i	−0.483906	−	0.875120i	$-0.660782\pi$
$601$	11.0606	−	12.7647i	0.451173	−	0.520681i	0.935079	+	0.354438i	$0.115328\pi$
$602$	−0.0606733	−	2.15866i	−0.00247286	−	0.0879802i
$603$	8.90703	+	16.8429i	0.362722	+	0.685896i
$604$	1.09299	+	5.41977i	0.0444733	+	0.220527i
$605$	7.39570	−	3.37750i	0.300678	−	0.137315i
$606$	2.64246	+	46.2094i	0.107343	+	1.87713i
$607$	4.39911	+	30.5965i	0.178555	+	1.24187i	0.860110	+	0.510108i	$0.170395\pi$
$607$	4.39911	+	30.5965i	0.178555	+	1.24187i	−0.681556	+	0.731766i	$0.738696\pi$
$608$	−22.9568	+	35.5414i	−0.931022	+	1.44139i
$609$	3.44531	−	2.35818i	0.139611	−	0.0955584i
$610$	7.31476	+	5.98687i	0.296166	+	0.242401i
$611$	−5.28946	+	11.5823i	−0.213989	+	0.468570i
$612$	−36.9660	+	15.6222i	−1.49426	+	0.631488i
$613$	28.3270	+	32.6910i	1.14411	+	1.32038i	0.939899	+	0.341453i	$0.110919\pi$
$613$	28.3270	+	32.6910i	1.14411	+	1.32038i	0.204216	+	0.978926i	$0.434535\pi$
$614$	2.31288	−	3.83150i	0.0933404	−	0.154627i
$615$	11.4514	+	9.35494i	0.461766	+	0.377227i
$616$	1.83384	−	0.154957i	0.0738873	−	0.00624341i
$617$	15.5383	+	9.98587i	0.625549	+	0.402016i	0.814659	−	0.579940i	$-0.196924\pi$
$617$	15.5383	+	9.98587i	0.625549	+	0.402016i	−0.189110	+	0.981956i	$0.560560\pi$
$618$	5.74956	+	28.3748i	0.231281	+	1.14140i
$619$	−9.40360	−	2.76115i	−0.377963	−	0.110980i	0.0872326	−	0.996188i	$-0.472198\pi$
$619$	−9.40360	−	2.76115i	−0.377963	−	0.110980i	−0.465195	+	0.885208i	$0.654016\pi$
$620$	−10.5427	−	4.11581i	−0.423403	−	0.165295i
$621$	13.0378	+	21.2371i	0.523190	+	0.852216i
$622$	−6.07582	−	8.89440i	−0.243618	−	0.356633i
$623$	0.169671	−	0.577847i	0.00679774	−	0.0231510i
$624$	17.3415	−	7.89074i	0.694217	−	0.315883i
$625$	8.82192	+	5.66951i	0.352877	+	0.226780i
$626$	−19.6208	+	9.63567i	−0.784204	+	0.385119i
$627$	14.2572	−	17.4523i	0.569379	−	0.696979i
$628$	−31.0310	+	1.74575i	−1.23827	+	0.0696631i
$629$	38.7311	+	44.6981i	1.54431	+	1.78223i
$630$	−1.58600	−	0.320597i	−0.0631878	−	0.0127729i
$631$	−16.0595	−	7.33411i	−0.639317	−	0.291966i	0.0692613	−	0.997599i	$-0.477936\pi$
$631$	−16.0595	−	7.33411i	−0.639317	−	0.291966i	−0.708578	+	0.705632i	$0.750663\pi$
$632$	−35.0673	+	19.7396i	−1.39490	+	0.785199i
$633$	30.9941	−	21.2143i	1.23190	−	0.843192i
$634$	−3.41608	−	19.7939i	−0.135670	−	0.786116i
$635$	7.25049	−	1.04246i	0.287727	−	0.0413689i
$636$	−9.07888	+	6.99423i	−0.360001	+	0.277339i
$637$	−17.1603	+	7.83683i	−0.679914	+	0.310506i
$638$	14.6000	+	6.17795i	0.578021	+	0.244588i
$639$	−17.3838	+	9.19305i	−0.687691	+	0.363672i
$640$	5.35038	+	10.2198i	0.211492	+	0.403971i
$641$	13.1678	−	15.1965i	0.520098	−	0.600225i	−0.433558	−	0.901126i	$-0.642742\pi$
$641$	13.1678	−	15.1965i	0.520098	−	0.600225i	0.953655	+	0.300901i	$0.0972874\pi$
$642$	6.33607	−	4.60345i	0.250065	−	0.181684i
$643$	16.7880			0.662055			0.331028	−	0.943621i	$-0.392605\pi$
$643$	16.7880			0.662055			0.331028	+	0.943621i	$0.392605\pi$
$644$	1.18658	−	3.38585i	0.0467577	−	0.133421i
$645$	−6.85564	+	2.23104i	−0.269940	+	0.0878471i
$646$	67.2971	−	21.8319i	2.64777	−	0.858965i
$647$	35.0608	+	30.3803i	1.37838	+	1.19437i	0.957910	+	0.287068i	$0.0926805\pi$
$647$	35.0608	+	30.3803i	1.37838	+	1.19437i	0.420471	+	0.907306i	$0.361865\pi$
$648$	−20.1658	−	15.5351i	−0.792189	−	0.610275i
$649$	−1.33680	−	0.192202i	−0.0524738	−	0.00754459i
$650$	14.1845	+	6.00213i	0.556363	+	0.235423i
$651$	−2.43251	−	2.64794i	−0.0953378	−	0.103781i
$652$	−0.672822	−	1.89121i	−0.0263497	−	0.0740657i
$653$	3.50650	+	24.3883i	0.137220	+	0.954386i	0.935808	+	0.352509i	$0.114671\pi$
$653$	3.50650	+	24.3883i	0.137220	+	0.954386i	−0.798588	+	0.601878i	$0.794420\pi$
$654$	30.7597	−	16.2303i	1.20280	−	0.634656i
$655$	−2.32091	−	7.90428i	−0.0906853	−	0.308846i
$656$	14.8326	−	30.0282i	0.579116	−	1.17241i
$657$	−2.29387	−	11.2671i	−0.0894924	−	0.439572i
$658$	−1.65533	−	1.80527i	−0.0645316	−	0.0703769i
$659$	−33.5399	+	29.0625i	−1.30653	+	1.13211i	−0.323988	+	0.946061i	$0.605024\pi$
$659$	−33.5399	+	29.0625i	−1.30653	+	1.13211i	−0.982540	+	0.186052i	$0.940431\pi$
$660$	−2.22650	−	5.72647i	−0.0866664	−	0.222903i
$661$	1.10529	−	0.710329i	0.0429909	−	0.0276286i	−0.518969	−	0.854793i	$-0.673684\pi$
$661$	1.10529	−	0.710329i	0.0429909	−	0.0276286i	0.561960	+	0.827165i	$0.310048\pi$
$662$	−30.3641	+	14.9117i	−1.18014	+	0.579559i
$663$	−30.8154	−	8.08471i	−1.19677	−	0.313984i
$664$	1.87621	−	3.54395i	0.0728111	−	0.137532i
$665$	2.73705	+	0.803669i	0.106138	+	0.0311650i
$666$	−12.5907	+	35.3398i	−0.487880	+	1.36939i
$667$	22.6318	−	21.0466i	0.876308	−	0.814928i
$668$	−32.0850	−	12.5258i	−1.24140	−	0.484640i
$669$	0.685249	+	23.6041i	0.0264932	+	0.912587i
$670$	−9.09767	−	1.04810i	−0.351474	−	0.0404918i
$671$	−6.16500	+	9.59293i	−0.237997	+	0.370331i
$672$	0.0979188	+	3.66361i	0.00377730	+	0.141327i
$673$	−35.9391	+	23.0966i	−1.38535	+	0.890310i	−0.999480	−	0.0322428i	$-0.989735\pi$
$673$	−35.9391	+	23.0966i	−1.38535	+	0.890310i	−0.385870	+	0.922553i	$0.626099\pi$
$674$	7.10193	−	11.7650i	0.273556	−	0.453170i
$675$	−1.78950	−	20.5008i	−0.0688778	−	0.789078i
$676$	−10.5904	−	2.47297i	−0.407323	−	0.0951142i
$677$	−35.4794	−	16.2029i	−1.36359	−	0.622729i	−0.406798	−	0.913518i	$-0.633355\pi$
$677$	−35.4794	−	16.2029i	−1.36359	−	0.622729i	−0.956787	+	0.290790i	$0.906082\pi$
$678$	44.9841	+	17.5138i	1.72761	+	0.672613i
$679$	−5.26848	+	1.54697i	−0.202186	+	0.0593671i
$680$	3.85675	−	18.8997i	0.147900	−	0.724770i
$681$	3.85515	+	7.83182i	0.147730	+	0.300116i
$682$	3.47697	−	13.2031i	0.133140	−	0.505571i
$683$	7.90798	+	17.3161i	0.302591	+	0.662581i	0.998453	−	0.0555937i	$-0.0177052\pi$
$683$	7.90798	+	17.3161i	0.302591	+	0.662581i	−0.695863	+	0.718175i	$0.744978\pi$
$684$	33.0632	+	30.3448i	1.26420	+	1.16026i
$685$	1.06114	+	0.152569i	0.0405442	+	0.00582937i
$686$	−0.205993	−	7.32889i	−0.00786485	−	0.279818i
$687$	−19.8662	−	8.38469i	−0.757943	−	0.319896i
$688$	8.40671	+	13.9992i	0.320503	+	0.533714i
$689$	−9.09798			−0.346606
$690$	−11.9624	−	0.605273i	−0.455402	−	0.0230424i
$691$		−	33.9638i		−	1.29204i	−0.763319	−	0.646022i	$-0.776432\pi$
$691$		−	33.9638i		−	1.29204i	0.763319	−	0.646022i	$-0.223568\pi$
$692$	28.3630	−	36.7119i	1.07820	−	1.39558i
$693$	0.165243	−	1.94500i	0.00627705	−	0.0738845i
$694$	−26.8371	+	0.754311i	−1.01872	+	0.0286333i
$695$	0.981316	−	6.82520i	0.0372234	−	0.258895i
$696$	−13.9555	+	28.3184i	−0.528983	+	1.07341i
$697$	−50.9422	+	23.2645i	−1.92958	+	0.881207i
$698$	−5.63311	+	21.3905i	−0.213216	+	0.809643i
$699$	−7.36145	−	14.9550i	−0.278436	−	0.565648i
$700$	−2.12659	+	2.06290i	−0.0803776	+	0.0779704i
$701$	−13.7711	−	46.9001i	−0.520128	−	1.77139i	−0.629073	−	0.777346i	$-0.716565\pi$
$701$	−13.7711	−	46.9001i	−0.520128	−	1.77139i	0.108945	−	0.994048i	$-0.465253\pi$
$702$	−5.15541	−	19.5394i	−0.194578	−	0.737468i
$703$	27.4749	−	60.1616i	1.03623	−	2.26904i
$704$	−11.5091	+	7.82316i	−0.433766	+	0.294847i
$705$	−4.21937	+	7.00436i	−0.158911	+	0.263800i
$706$	16.0737	−	26.6275i	0.604942	−	1.00214i
$707$	−3.82121	−	5.94592i	−0.143711	−	0.223619i
$708$	0.535310	−	2.63566i	0.0201182	−	0.0990542i
$709$	−1.46347	−	0.940512i	−0.0549616	−	0.0353217i	0.512871	−	0.858465i	$-0.328582\pi$
$709$	−1.46347	−	0.940512i	−0.0549616	−	0.0353217i	−0.567833	+	0.823144i	$0.692218\pi$
$710$	1.08176	−	9.38982i	0.0405978	−	0.352394i
$711$	14.3806	+	40.1869i	0.539315	+	1.50713i
$712$	1.02533	+	4.43702i	0.0384257	+	0.166284i
$713$	−20.7151	−	16.7130i	−0.775787	−	0.625908i
$714$	3.74220	−	4.85300i	0.140048	−	0.181619i
$715$	1.37414	−	4.67991i	0.0513901	−	0.175019i
$716$	−13.7852	−	26.1843i	−0.515178	−	0.978554i
$717$	−32.9862	−	8.65424i	−1.23189	−	0.323199i
$718$	6.95357	+	14.1593i	0.259505	+	0.528421i
$719$	21.9485	+	34.1525i	0.818539	+	1.27367i	0.958949	+	0.283579i	$0.0915217\pi$
$719$	21.9485	+	34.1525i	0.818539	+	1.27367i	−0.140410	+	0.990093i	$0.544842\pi$
$720$	11.6400	−	3.77027i	0.433796	−	0.140510i
$721$	−2.89516	−	3.34119i	−0.107821	−	0.124433i
$722$	−35.3101	−	38.5085i	−1.31411	−	1.43314i
$723$	2.94078	−	25.7353i	0.109369	−	0.957107i
$724$	0.437217	−	5.03604i	0.0162490	−	0.187163i
$725$	−24.4880	+	7.19034i	−0.909463	+	0.267042i
$726$	−17.2750	+	9.11514i	−0.641136	+	0.338295i
$727$	26.5195	−	3.81293i	0.983555	−	0.141414i	0.368270	−	0.929719i	$-0.379950\pi$
$727$	26.5195	−	3.81293i	0.983555	−	0.141414i	0.615285	+	0.788305i	$0.289041\pi$
$728$	−1.71335	+	2.35138i	−0.0635009	+	0.0871481i
$729$	−19.8412	+	18.3119i	−0.734861	+	0.678218i
$730$	5.08972	+	2.15369i	0.188379	+	0.0797118i
$731$	3.88593	−	27.0272i	0.143726	−	0.999638i
$732$	−18.3652	−	13.3560i	−0.678799	−	0.493651i
$733$	9.53260	−	11.0012i	0.352095	−	0.406339i	−0.551881	−	0.833923i	$-0.686090\pi$
$733$	9.53260	−	11.0012i	0.352095	−	0.406339i	0.903976	+	0.427584i	$0.140635\pi$
$734$	2.80942	+	8.66008i	0.103698	+	0.319649i
$735$	−11.5204	+	3.74909i	−0.424935	+	0.138287i
$736$	4.74001	+	26.7120i	0.174719	+	0.984618i
$737$		−	11.0478i		−	0.406950i
$738$	−28.7488	−	20.8668i	−1.05826	−	0.768117i
$739$	18.1052	+	15.6882i	0.666009	+	0.577100i	0.920866	−	0.389879i	$-0.127483\pi$
$739$	18.1052	+	15.6882i	0.666009	+	0.577100i	−0.254857	+	0.966979i	$0.582029\pi$
$740$	−10.5855	−	14.5979i	−0.389130	−	0.536629i
$741$	6.09125	+	35.1013i	0.223768	+	1.28948i
$742$	0.682000	−	1.61174i	0.0250370	−	0.0591687i
$743$	−12.8203	−	28.0726i	−0.470333	−	1.02989i	−0.985009	−	0.172501i	$-0.944815\pi$
$743$	−12.8203	−	28.0726i	−0.470333	−	1.02989i	0.514676	−	0.857384i	$-0.327912\pi$
$744$	25.8506	+	8.42561i	0.947728	+	0.308898i
$745$	−0.323279	−	2.24846i	−0.0118440	−	0.0823770i
$746$	0.468538	+	2.71486i	0.0171544	+	0.0993982i
$747$	−3.37052	−	2.59409i	−0.123321	−	0.0949127i
$748$	23.1827	+	2.01267i	0.847645	+	0.0735905i
$749$	−0.496819	+	1.08788i	−0.0181534	+	0.0397503i
$750$	19.4863	+	11.0044i	0.711540	+	0.401823i
$751$	−36.0492	+	31.2368i	−1.31545	+	1.13985i	−0.335192	+	0.942150i	$0.608801\pi$
$751$	−36.0492	+	31.2368i	−1.31545	+	1.13985i	−0.980263	+	0.197698i	$0.936653\pi$
$752$	17.6038	+	5.75568i	0.641945	+	0.209888i
$753$	−1.03054	+	1.26149i	−0.0375550	+	0.0459713i
$754$	−22.4958	+	11.0476i	−0.819248	+	0.402329i
$755$	−1.52388	+	2.37121i	−0.0554597	+	0.0862970i
$756$	3.84793	+	0.551411i	0.139948	+	0.0200546i
$757$	9.75364	+	2.86393i	0.354502	+	0.104091i	0.454135	−	0.890933i	$-0.349949\pi$
$757$	9.75364	+	2.86393i	0.354502	+	0.104091i	−0.0996324	+	0.995024i	$0.531767\pi$
$758$	18.7508	−	12.8088i	0.681060	−	0.465237i
$759$	−0.926240	−	14.4199i	−0.0336204	−	0.523409i
$760$	−21.0165	+	4.85659i	−0.762348	+	0.176167i
$761$	1.19759	−	4.07862i	0.0434127	−	0.147850i	−0.934935	−	0.354820i	$-0.884542\pi$
$761$	1.19759	−	4.07862i	0.0434127	−	0.147850i	0.978347	+	0.206970i	$0.0663603\pi$
$762$	−17.2470	+	3.49474i	−0.624793	+	0.126601i
$763$	−2.87131	+	4.46784i	−0.103948	+	0.161747i
$764$	−2.65637	−	1.50335i	−0.0961042	−	0.0543893i
$765$	−19.0721	−	7.40513i	−0.689554	−	0.267733i
$766$	30.7831	+	18.5822i	1.11224	+	0.671403i
$767$	1.61355	−	1.39815i	0.0582620	−	0.0504843i
$768$	−14.2343	−	23.7778i	−0.513637	−	0.858007i
$769$	2.28255	+	1.04241i	0.0823109	+	0.0375901i	0.456145	−	0.889905i	$-0.349230\pi$
$769$	2.28255	+	1.04241i	0.0823109	+	0.0375901i	−0.373834	+	0.927496i	$0.621957\pi$
$770$	0.726051	+	0.594247i	0.0261651	+	0.0214152i
$771$	−3.00232	+	2.05497i	−0.108126	+	0.0740080i
$772$	17.7459	+	18.2938i	0.638689	+	0.658408i
$773$	−48.0962	+	6.91520i	−1.72990	+	0.248722i	−0.934145	−	0.356894i	$-0.883836\pi$
$773$	−48.0962	+	6.91520i	−1.72990	+	0.248722i	−0.795757	+	0.605616i	$0.792927\pi$
$774$	16.1369	−	6.29133i	0.580030	−	0.226137i
$775$	9.13079	+	19.9936i	0.327988	+	0.718193i
$776$	28.9781	−	29.7355i	1.04025	−	1.06744i
$777$	−0.979507	−	5.64448i	−0.0351396	−	0.202495i
$778$	1.11876	+	39.8036i	0.0401095	+	1.42703i
$779$	47.3296	+	41.0113i	1.69576	+	1.46938i
$780$	9.14666	+	3.26824i	0.327503	+	0.117022i
$781$	11.4025			0.408015
$782$	22.0656	−	39.6360i	0.789063	−	1.41738i
$783$	27.1176	+	19.6446i	0.969104	+	0.702041i
$784$	14.1268	+	23.5246i	0.504530	+	0.840163i
$785$	−11.9747	−	10.3761i	−0.427395	−	0.370340i
$786$	6.65070	+	18.6397i	0.237223	+	0.664858i
$787$	0.877089	−	6.10028i	0.0312648	−	0.217452i	−0.968199	−	0.250180i	$-0.919510\pi$
$787$	0.877089	−	6.10028i	0.0312648	−	0.217452i	0.999464	+	0.0327278i	$0.0104195\pi$
$788$	4.37562	+	21.6971i	0.155875	+	0.772929i
$789$	9.59656	−	8.81583i	0.341647	−	0.313852i
$790$	−19.8389	−	5.22450i	−0.705837	−	0.185879i
$791$	−7.29653	+	1.04908i	−0.259435	+	0.0373011i
$792$	6.12557	+	13.4293i	0.217663	+	0.477190i
$793$	−5.07877	−	17.2967i	−0.180352	−	0.614224i
$794$	16.6269	+	13.6085i	0.590067	+	0.482949i
$795$	−5.80491	−	0.663329i	−0.205879	−	0.0235259i
$796$	−0.743811	+	3.18534i	−0.0263637	+	0.112901i
$797$	31.4537	−	27.2548i	1.11415	−	0.965414i	0.114539	−	0.993419i	$-0.463461\pi$
$797$	31.4537	−	27.2548i	1.11415	−	0.965414i	0.999608	+	0.0280050i	$0.00891544\pi$
$798$	−6.67491	−	1.55217i	−0.236289	−	0.0549461i
$799$	−16.7434	−	26.0532i	−0.592338	−	0.921697i
$800$	6.36121	−	21.4813i	0.224903	−	0.759478i
$801$	4.82205	−	0.280213i	0.170379	−	0.00990085i
$802$	3.85327	−	33.4469i	0.136064	−	1.18105i
$803$	−1.87836	+	6.39710i	−0.0662858	+	0.225749i
$804$	21.9641	+	1.26604i	0.774614	+	0.0446499i
$805$	1.63606	−	0.817774i	0.0576637	−	0.0288227i
$806$	12.1747	+	17.8226i	0.428837	+	0.627774i
$807$	0.409418	+	14.1028i	0.0144122	+	0.496443i
$808$	47.2342	+	25.0064i	1.66169	+	0.879721i
$809$	−25.4233	+	39.5595i	−0.893837	+	1.39084i	0.0264736	+	0.999650i	$0.491572\pi$
$809$	−25.4233	+	39.5595i	−0.893837	+	1.39084i	−0.920311	+	0.391188i	$0.872064\pi$
$810$	−1.86476	−	12.8429i	−0.0655211	−	0.451253i
$811$	27.5532	+	42.8736i	0.967522	+	1.50549i	0.859366	+	0.511360i	$0.170858\pi$
$811$	27.5532	+	42.8736i	0.967522	+	1.50549i	0.108156	+	0.994134i	$0.465505\pi$
$812$	−0.270791	−	4.81334i	−0.00950290	−	0.168915i
$813$	−5.21179	+	8.65184i	−0.182786	+	0.303433i
$814$	16.0333	−	14.7016i	0.561966	−	0.515291i
$815$	0.425115	−	0.930872i	0.0148911	−	0.0326070i
$816$	−6.65807	+	45.8590i	−0.233079	+	1.60539i
$817$	−29.2974	+	8.60250i	−1.02499	+	0.300963i
$818$	1.30165	+	7.54219i	0.0455112	+	0.263707i
$819$	2.15271	+	2.21099i	0.0752218	+	0.0772582i
$820$	16.0866	−	5.72301i	0.561770	−	0.199856i
$821$	11.6129	+	25.4288i	0.405294	+	0.887471i	0.996706	+	0.0811009i	$0.0258436\pi$
$821$	11.6129	+	25.4288i	0.405294	+	0.887471i	−0.591412	+	0.806370i	$0.701429\pi$
$822$	−2.56603	−	0.220390i	−0.0895005	−	0.00768698i
$823$	7.05869	−	49.0942i	0.246050	−	1.71132i	−0.374563	−	0.927201i	$-0.622207\pi$
$823$	7.05869	−	49.0942i	0.246050	−	1.71132i	0.620614	−	0.784117i	$-0.286884\pi$
$824$	31.4706	+	11.2777i	1.09633	+	0.392877i
$825$	−4.63986	+	10.9934i	−0.161539	+	0.382742i
$826$	0.126732	+	0.390653i	0.00440957	+	0.0135926i
$827$			56.2473i			1.95591i	0.208819	+	0.977954i	$0.433038\pi$
$827$			56.2473i			1.95591i	−0.208819	+	0.977954i	$0.566962\pi$
$828$	28.7744	−	0.188982i	0.999978	−	0.00656758i
$829$		−	24.1422i		−	0.838492i	−0.907873	−	0.419246i	$-0.862295\pi$
$829$		−	24.1422i		−	0.838492i	0.907873	−	0.419246i	$-0.137705\pi$
$830$	1.94453	−	0.630828i	0.0674958	−	0.0218964i
$831$	−15.9825	+	37.8680i	−0.554427	+	1.31363i
$832$	2.56815	−	21.8494i	0.0890344	−	0.757491i
$833$	6.53000	−	45.4172i	0.226251	−	1.57361i
$834$	−1.41753	+	16.5045i	−0.0490852	+	0.571505i
$835$	−7.29445	−	15.9726i	−0.252435	−	0.552755i
$836$	−8.72205	−	24.5166i	−0.301659	−	0.847923i
$837$	13.4225	−	25.5242i	0.463949	−	0.882246i
$838$	7.56385	−	1.30539i	0.261289	−	0.0450939i
$839$	9.57309	−	2.81091i	0.330500	−	0.0970435i	−0.112273	−	0.993677i	$-0.535813\pi$
$839$	9.57309	−	2.81091i	0.330500	−	0.0970435i	0.442773	+	0.896634i	$0.353995\pi$
$840$	−1.26463	+	1.37537i	−0.0436338	+	0.0474546i
$841$	5.20461	−	11.3965i	0.179469	−	0.392983i
$842$	−13.5124	−	14.7364i	−0.465668	−	0.507848i
$843$	−16.3362	+	27.1188i	−0.562647	+	0.934023i
$844$	−2.43604	−	43.3009i	−0.0838521	−	1.49048i
$845$	−2.99747	−	4.66416i	−0.103116	−	0.160452i
$846$	9.15928	−	17.3783i	0.314902	−	0.597480i
$847$	1.61256	−	2.50919i	0.0554082	−	0.0862169i
$848$	1.48430	+	13.1501i	0.0509711	+	0.451575i
$849$	1.45409	+	50.0876i	0.0499042	+	1.71900i
$850$	−30.9333	+	21.1307i	−1.06100	+	0.724778i
$851$	−13.3690	−	40.2449i	−0.458283	−	1.37958i
$852$	−1.30670	+	22.6694i	−0.0447667	+	0.776641i
$853$	5.27366	−	17.9605i	0.180567	−	0.614954i	−0.818609	−	0.574352i	$-0.805254\pi$
$853$	5.27366	−	17.9605i	0.180567	−	0.614954i	0.999175	−	0.0406023i	$-0.0129277\pi$
$854$	3.44487	+	0.396869i	0.117881	+	0.0135806i
$855$	1.32727	+	22.8402i	0.0453915	+	0.781120i
$856$	−0.761446	−	9.01130i	−0.0260257	−	0.308000i
$857$	0.950712	+	1.47934i	0.0324757	+	0.0505332i	0.857112	−	0.515130i	$-0.172256\pi$
$857$	0.950712	+	1.47934i	0.0324757	+	0.0505332i	−0.824636	+	0.565664i	$0.808620\pi$
$858$	−2.65395	+	11.4130i	−0.0906044	+	0.389634i
$859$	−13.7721	+	11.9336i	−0.469897	+	0.407168i	−0.857360	−	0.514717i	$-0.827897\pi$
$859$	−13.7721	+	11.9336i	−0.469897	+	0.407168i	0.387463	+	0.921885i	$0.373351\pi$
$860$	−1.89302	+	8.10676i	−0.0645513	+	0.276438i
$861$	5.38953	+	0.615864i	0.183675	+	0.0209886i
$862$	−3.04495	+	3.72032i	−0.103711	+	0.126715i
$863$	−6.14313	−	20.9216i	−0.209115	−	0.712179i	−0.995527	−	0.0944774i	$-0.969882\pi$
$863$	−6.14313	−	20.9216i	−0.209115	−	0.712179i	0.786412	−	0.617702i	$-0.211936\pi$
$864$	−27.4008	+	10.6393i	−0.932195	+	0.361957i
$865$	23.4102	−	3.36588i	0.795972	−	0.114443i
$866$	−8.90783	+	33.8256i	−0.302700	+	1.14944i
$867$	35.3795	−	32.5012i	1.20155	−	1.10380i
$868$	−4.06996	+	0.820781i	−0.138144	+	0.0278591i
$869$	3.52216	−	24.4972i	0.119481	−	0.831010i
$870$	−15.1588	+	5.40868i	−0.513930	+	0.183371i
$871$	13.1993	+	11.4372i	0.447240	+	0.387535i
$872$	2.34802	−	40.0907i	0.0795140	−	1.35764i
$873$	−25.9184	−	35.6042i	−0.877204	−	1.20502i
$874$	−50.5683	−	4.03262i	−1.71050	−	0.136405i
$875$	−3.41736			−0.115528
$876$	−12.5028	−	4.46746i	−0.422432	−	0.150941i
$877$	16.4165	+	14.2250i	0.554346	+	0.480344i	0.886402	−	0.462916i	$-0.153197\pi$
$877$	16.4165	+	14.2250i	0.554346	+	0.480344i	−0.332056	+	0.943260i	$0.607742\pi$
$878$	24.9639	−	0.701661i	0.842492	−	0.0236799i
$879$	−2.43111	−	14.0095i	−0.0819994	−	0.472528i
$880$	−6.98843	−	1.22265i	−0.235580	−	0.0412157i
$881$	−3.70250	−	8.10734i	−0.124740	−	0.273143i	0.836951	−	0.547278i	$-0.184336\pi$
$881$	−3.70250	−	8.10734i	−0.124740	−	0.273143i	−0.961691	+	0.274135i	$0.911609\pi$
$882$	27.1169	−	10.5721i	0.913073	−	0.355981i
$883$	1.74674	−	0.251143i	0.0587824	−	0.00845163i	−0.112861	−	0.993611i	$-0.536001\pi$
$883$	1.74674	−	0.251143i	0.0587824	−	0.00845163i	0.171643	+	0.985159i	$0.445092\pi$
$884$	−26.4046	+	25.6138i	−0.888082	+	0.861486i
$885$	1.13145	−	0.774437i	0.0380334	−	0.0260324i
$886$	−26.4099	+	32.2676i	−0.887258	+	1.08405i
$887$	−24.8085	−	11.3297i	−0.832989	−	0.380413i	−0.0471830	−	0.998886i	$-0.515024\pi$
$887$	−24.8085	−	11.3297i	−0.832989	−	0.380413i	−0.785806	+	0.618473i	$0.787752\pi$
$888$	27.3909	+	33.5605i	0.919180	+	1.12622i
$889$	2.03087	−	1.75976i	0.0681132	−	0.0590204i
$890$	−1.19980	+	1.98757i	−0.0402173	+	0.0666236i
$891$	15.1340	−	4.00801i	0.507009	−	0.134273i
$892$	23.7304	+	13.4300i	0.794553	+	0.449670i
$893$	−18.7235	+	29.1343i	−0.626557	+	0.974941i
$894$	1.08376	+	5.34848i	0.0362462	+	0.178880i
$895$	4.25018	−	14.4748i	0.142068	−	0.483839i
$896$	3.67817	+	2.09282i	0.122879	+	0.0699162i
$897$	18.1870	+	13.8216i	0.607245	+	0.461490i
$898$	4.78214	+	7.00057i	0.159582	+	0.233612i
$899$	−34.3166	−	10.0763i	−1.14452	−	0.336062i
$900$	−21.3243	−	10.4843i	−0.710811	−	0.349478i
$901$	11.9635	−	18.6156i	0.398563	−	0.620176i
$902$	9.07977	+	18.4888i	0.302323	+	0.615610i
$903$	−1.67327	+	2.04826i	−0.0556830	+	0.0681618i
$904$	44.1885	−	33.9772i	1.46969	−	1.13007i
$905$	1.94761	−	1.68762i	0.0647409	−	0.0560983i
$906$	3.32974	−	5.89624i	0.110623	−	0.195889i
$907$	−5.80163	+	12.7038i	−0.192640	+	0.421822i	−0.981163	−	0.193183i	$-0.938119\pi$
$907$	−5.80163	+	12.7038i	−0.192640	+	0.421822i	0.788523	+	0.615005i	$0.210846\pi$
$908$	10.0419	+	0.871812i	0.333252	+	0.0289321i
$909$	34.5743	−	44.9227i	1.14676	−	1.48999i
$910$	−1.46162	+	0.252250i	−0.0484522	+	0.00836201i
$911$	−5.96334	−	41.4759i	−0.197574	−	1.37416i	−0.811296	−	0.584636i	$-0.801237\pi$
$911$	−5.96334	−	41.4759i	−0.197574	−	1.37416i	0.613721	−	0.789523i	$-0.289672\pi$
$912$	49.7410	−	14.5308i	1.64709	−	0.481163i
$913$	1.02449	+	2.24332i	0.0339057	+	0.0742431i
$914$	−27.4170	−	11.6014i	−0.906873	−	0.383740i
$915$	−1.97938	−	11.4063i	−0.0654363	−	0.377082i
$916$	−20.1572	+	14.6167i	−0.666011	+	0.482949i
$917$	−2.28398	−	1.97908i	−0.0754236	−	0.0653550i
$918$	46.7593	+	15.1450i	1.54329	+	0.499861i
$919$		−	21.1077i		−	0.696280i	−0.937443	−	0.348140i	$-0.886813\pi$
$919$		−	21.1077i		−	0.696280i	0.937443	−	0.348140i	$-0.113187\pi$
$920$	−7.74738	+	11.4571i	−0.255424	+	0.377731i
$921$	−5.21225	+	1.69623i	−0.171749	+	0.0558927i
$922$	−9.21975	+	2.99099i	−0.303636	+	0.0985029i
$923$	−11.8045	+	13.6231i	−0.388550	+	0.448410i
$924$	−1.82291	−	1.32569i	−0.0599692	−	0.0436121i
$925$	−4.98385	+	34.6635i	−0.163868	+	1.13973i
$926$	23.2853	−	55.0290i	0.765203	−	1.80837i
$927$	17.4074	−	30.8912i	0.571733	−	1.01460i
$928$	19.6381	+	30.7126i	0.644651	+	1.00819i
$929$	41.2335	−	5.92849i	1.35283	−	0.194507i	0.572514	−	0.819895i	$-0.305968\pi$
$929$	41.2335	−	5.92849i	1.35283	−	0.194507i	0.780314	+	0.625388i	$0.215059\pi$
$930$	6.46857	+	12.2592i	0.212113	+	0.401996i
$931$	−49.2320	+	14.4558i	−1.61351	+	0.473771i
$932$	−19.1751	−	1.66474i	−0.628101	−	0.0545302i
$933$	−1.49775	+	13.1071i	−0.0490342	+	0.429107i
$934$	19.6319	−	18.0014i	0.642377	−	0.589024i
$935$	7.76872	+	8.96558i	0.254064	+	0.293206i
$936$	−22.3861	−	6.58423i	−0.731713	−	0.215212i
$937$	−12.5294	−	19.4961i	−0.409317	−	0.636910i	0.573990	−	0.818862i	$-0.305395\pi$
$937$	−12.5294	−	19.4961i	−0.409317	−	0.636910i	−0.983307	+	0.181952i	$0.941758\pi$
$938$	−3.01558	+	1.48094i	−0.0984621	+	0.0483543i
$939$	25.8954	+	6.79391i	0.845066	+	0.221711i
$940$	4.39860	+	8.35491i	0.143467	+	0.272507i
$941$	−5.69466	+	19.3942i	−0.185641	+	0.632234i	0.813103	+	0.582120i	$0.197777\pi$
$941$	−5.69466	+	19.3942i	−0.185641	+	0.632234i	−0.998744	+	0.0501139i	$0.984042\pi$
$942$	30.1439	+	23.2443i	0.982142	+	0.757340i
$943$	40.1305	−	1.41007i	1.30683	−	0.0459181i
$944$	−2.28410	−	2.10409i	−0.0743413	−	0.0684824i
$945$	1.21232	+	1.56766i	0.0394368	+	0.0509960i
$946$	−9.97688	−	1.14939i	−0.324376	−	0.0373700i
$947$	−8.44560	−	5.42766i	−0.274445	−	0.176375i	0.396177	−	0.918174i	$-0.370337\pi$
$947$	−8.44560	−	5.42766i	−0.274445	−	0.176375i	−0.670622	+	0.741799i	$0.733973\pi$
$948$	48.2993	+	9.80973i	1.56869	+	0.318605i
$949$	−5.69833	−	8.86677i	−0.184975	−	0.287827i
$950$	35.8641	+	21.6493i	1.16358	+	0.702398i
$951$	−12.6941	+	21.0728i	−0.411633	+	0.683332i
$952$	−2.55823	−	6.59771i	−0.0829128	−	0.213833i
$953$	−12.8241	+	28.0810i	−0.415415	+	0.909632i	0.580057	+	0.814576i	$0.303030\pi$
$953$	−12.8241	+	28.0810i	−0.415415	+	0.909632i	−0.995472	+	0.0950558i	$0.969697\pi$
$954$	14.0138	+	0.794795i	0.453713	+	0.0257324i
$955$	−0.438395	−	1.49304i	−0.0141861	−	0.0483135i
$956$	−28.2647	+	27.4182i	−0.914145	+	0.886768i
$957$	−8.57494	−	17.4202i	−0.277189	−	0.563115i
$958$	−5.27048	−	1.38796i	−0.170281	−	0.0448429i
$959$	0.357747	−	0.163378i	0.0115523	−	0.00527574i
$960$	3.23161	−	13.7536i	0.104300	−	0.443896i
$961$	0.0282039	−	0.196162i	0.000909803	−	0.00632782i
$962$	0.966192	+	34.3755i	0.0311513	+	1.10831i
$963$	−9.55756	−	0.811988i	−0.307988	−	0.0261659i
$964$	−23.6689	−	18.2863i	−0.762325	−	0.588961i
$965$			12.9934i			0.418271i
$966$	−3.81186	+	2.18579i	−0.122645	+	0.0703266i
$967$	30.0342			0.965836			0.482918	−	0.875666i	$-0.339577\pi$
$967$	30.0342			0.965836			0.482918	+	0.875666i	$0.339577\pi$
$968$	−1.31868	+	22.5154i	−0.0423839	+	0.723673i
$969$	−79.8314	−	33.6935i	−2.56455	−	1.08239i
$970$	21.1589	−	0.594714i	0.679372	−	0.0190951i
$971$	−31.5612	−	4.53781i	−1.01285	−	0.145625i	−0.384145	−	0.923273i	$-0.625504\pi$
$971$	−31.5612	−	4.53781i	−1.01285	−	0.145625i	−0.628701	+	0.777647i	$0.716413\pi$
$972$	6.23401	+	30.5473i	0.199956	+	0.979805i
$973$	−1.05083	−	2.30101i	−0.0336882	−	0.0737669i
$974$	−45.4432	−	11.9673i	−1.45609	−	0.383456i
$975$	−8.33090	−	16.9244i	−0.266802	−	0.542015i
$976$	−24.1717	+	10.1626i	−0.773718	+	0.325298i
$977$	21.8178	−	6.40627i	0.698012	−	0.204955i	0.0865720	−	0.996246i	$-0.472409\pi$
$977$	21.8178	−	6.40627i	0.698012	−	0.204955i	0.611440	+	0.791291i	$0.290591\pi$
$978$	−0.891946	+	2.29096i	−0.0285213	+	0.0732569i
$979$	−2.54765	−	1.16347i	−0.0814233	−	0.0371848i
$980$	−3.18107	+	13.6228i	−0.101615	+	0.435164i
$981$	−41.4974	−	9.60933i	−1.32491	−	0.306802i
$982$	−10.5128	−	6.34604i	−0.335476	−	0.202510i
$983$	−45.0943	+	28.9804i	−1.43829	+	0.924330i	−0.438615	+	0.898675i	$0.644531\pi$
$983$	−45.0943	+	28.9804i	−1.43829	+	0.924330i	−0.999671	+	0.0256550i	$0.991833\pi$
$984$	−37.7982	+	15.9327i	−1.20496	+	0.507917i
$985$	−6.10061	+	9.49273i	−0.194382	+	0.302464i
$986$	6.97644	−	60.5564i	0.222175	−	1.92851i
$987$	0.0870498	+	2.99852i	0.00277083	+	0.0954440i
$988$	38.3205	+	14.9602i	1.21914	+	0.475947i
$989$	−9.99994	+	16.8318i	−0.317980	+	0.535222i
$990$	−2.52545	+	7.08850i	−0.0802642	+	0.225287i
$991$	−42.9718	−	12.6177i	−1.36504	−	0.400813i	−0.484505	−	0.874788i	$-0.661000\pi$
$991$	−42.9718	−	12.6177i	−1.36504	−	0.400813i	−0.880538	+	0.473975i	$0.842819\pi$
$992$	23.7742	−	20.5048i	0.754830	−	0.651028i
$993$	40.0745	+	10.5139i	1.27173	+	0.333649i
$994$	−1.52849	−	3.11241i	−0.0484808	−	0.0987198i
$995$	−1.40287	+	0.901568i	−0.0444739	+	0.0285816i
$996$	−4.57736	+	1.77971i	−0.145039	+	0.0563924i
$997$	−32.3747	+	28.0529i	−1.02532	+	0.888443i	−0.993814	−	0.111060i	$-0.964575\pi$
$997$	−32.3747	+	28.0529i	−1.02532	+	0.888443i	−0.0315045	+	0.999504i	$0.510030\pi$
$998$	21.4298	−	19.6499i	0.678349	−	0.622008i
$999$	39.9769	−	22.6493i	1.26481	−	0.716592i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	552.2.bf.a.5.9	✓	920
3.2	odd	2	inner	552.2.bf.a.5.84	yes	920
8.5	even	2	inner	552.2.bf.a.5.67	yes	920
23.14	odd	22	inner	552.2.bf.a.221.26	yes	920
24.5	odd	2	inner	552.2.bf.a.5.26	yes	920
69.14	even	22	inner	552.2.bf.a.221.67	yes	920
184.37	odd	22	inner	552.2.bf.a.221.84	yes	920
552.221	even	22	inner	552.2.bf.a.221.9	yes	920

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
552.2.bf.a.5.9	✓	920	1.1	even	1	trivial
552.2.bf.a.5.26	yes	920	24.5	odd	2	inner
552.2.bf.a.5.67	yes	920	8.5	even	2	inner
552.2.bf.a.5.84	yes	920	3.2	odd	2	inner
552.2.bf.a.221.9	yes	920	552.221	even	22	inner
552.2.bf.a.221.26	yes	920	23.14	odd	22	inner
552.2.bf.a.221.67	yes	920	69.14	even	22	inner
552.2.bf.a.221.84	yes	920	184.37	odd	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	552.bf (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.34520 + 0.436397i) q^{2} +(1.59574 + 0.673497i) q^{3} +(1.61912 - 1.17408i) q^{4} +(1.00923 + 0.145106i) q^{5} +(-2.44050 - 0.209609i) q^{6} +(0.340247 - 0.155386i) q^{7} +(-1.66567 + 2.28595i) q^{8} +(2.09280 + 2.14946i) q^{9} +O(q^{10})\)	\(q+(-1.34520 + 0.436397i) q^{2} +(1.59574 + 0.673497i) q^{3} +(1.61912 - 1.17408i) q^{4} +(1.00923 + 0.145106i) q^{5} +(-2.44050 - 0.209609i) q^{6} +(0.340247 - 0.155386i) q^{7} +(-1.66567 + 2.28595i) q^{8} +(2.09280 + 2.14946i) q^{9} +(-1.42094 + 0.245230i) q^{10} +(-0.490082 - 1.66907i) q^{11} +(3.37444 - 0.783063i) q^{12} +(2.50146 + 1.14238i) q^{13} +(-0.389890 + 0.357507i) q^{14} +(1.51275 + 0.911269i) q^{15} +(1.24307 - 3.80194i) q^{16} +(-5.62679 + 3.61612i) q^{17} +(-3.75325 - 1.97816i) q^{18} +(6.29221 + 4.04376i) q^{19} +(1.80443 - 0.949979i) q^{20} +(0.647599 - 0.0188004i) q^{21} +(1.38763 + 2.03135i) q^{22} +(4.72012 - 0.848790i) q^{23} +(-4.19756 + 2.52597i) q^{24} +(-3.79997 - 1.11577i) q^{25} +(-3.86350 - 0.445097i) q^{26} +(1.89193 + 4.83949i) q^{27} +(0.368464 - 0.651065i) q^{28} +(5.42127 - 3.48404i) q^{29} +(-2.43263 - 0.565677i) q^{30} +(-3.63444 - 4.19436i) q^{31} +(-0.0130204 + 5.65684i) q^{32} +(0.342065 - 2.99347i) q^{33} +(5.99108 - 7.31991i) q^{34} +(0.365936 - 0.107449i) q^{35} +(5.91213 + 1.02310i) q^{36} +(-1.25843 - 8.75254i) q^{37} +(-10.2290 - 2.69376i) q^{38} +(3.22231 + 3.50768i) q^{39} +(-2.01275 + 2.06536i) q^{40} +(8.28773 + 1.19160i) q^{41} +(-0.862945 + 0.307901i) q^{42} +(-2.67338 + 3.08524i) q^{43} +(-2.75312 - 2.12701i) q^{44} +(1.80023 + 2.47299i) q^{45} +(-5.97909 + 3.20164i) q^{46} +4.63021i q^{47} +(4.54422 - 5.22973i) q^{48} +(-4.49240 + 5.18451i) q^{49} +(5.59863 - 0.157361i) q^{50} +(-11.4144 + 1.98077i) q^{51} +(5.39141 - 1.08727i) q^{52} +(-3.00942 + 1.37435i) q^{53} +(-4.65695 - 5.68444i) q^{54} +(-0.252416 - 1.75559i) q^{55} +(-0.211535 + 1.03661i) q^{56} +(7.31730 + 10.6906i) q^{57} +(-5.77226 + 7.05255i) q^{58} +(0.322521 - 0.706223i) q^{59} +(3.51922 - 0.300643i) q^{60} +(-4.29281 - 4.95417i) q^{61} +(6.71944 + 4.05619i) q^{62} +(1.04607 + 0.406156i) q^{63} +(-2.45111 - 7.61525i) q^{64} +(2.35880 + 1.51591i) q^{65} +(0.846196 + 4.17609i) q^{66} +(6.09375 + 1.78929i) q^{67} +(-4.86481 + 12.4612i) q^{68} +(8.10377 + 1.82454i) q^{69} +(-0.445367 + 0.304233i) q^{70} +(-1.84675 + 6.28944i) q^{71} +(-8.39946 + 1.20376i) q^{72} +(-3.22431 - 2.07214i) q^{73} +(5.51241 + 11.2247i) q^{74} +(-5.31231 - 4.33975i) q^{75} +(14.9355 - 0.840248i) q^{76} +(-0.426098 - 0.491743i) q^{77} +(-5.86538 - 3.31231i) q^{78} +(12.9418 + 5.91031i) q^{79} +(1.80623 - 3.65668i) q^{80} +(-0.240349 + 8.99679i) q^{81} +(-11.6686 + 2.01381i) q^{82} +(-1.40330 + 0.201764i) q^{83} +(1.02647 - 0.790774i) q^{84} +(-6.20347 + 2.83303i) q^{85} +(2.24983 - 5.31691i) q^{86} +(10.9975 - 1.90843i) q^{87} +(4.63171 + 1.65980i) q^{88} +(1.05437 - 1.21680i) q^{89} +(-3.50087 - 2.54104i) q^{90} +1.02863 q^{91} +(6.64588 - 6.91609i) q^{92} +(-2.97474 - 9.14092i) q^{93} +(-2.02061 - 6.22855i) q^{94} +(5.76354 + 4.99414i) q^{95} +(-3.83064 + 9.01810i) q^{96} +(-14.5302 - 2.08913i) q^{97} +(3.78067 - 8.93466i) q^{98} +(2.56194 - 4.54644i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 920 q - 22 q^{4} - 2 q^{6} - 44 q^{7} - 18 q^{9}+O(q^{10}) \) 920 * q - 22 * q^4 - 2 * q^6 - 44 * q^7 - 18 * q^9	\( 920 q - 22 q^{4} - 2 q^{6} - 44 q^{7} - 18 q^{9} - 22 q^{10} - 12 q^{12} - 22 q^{15} - 30 q^{16} - 10 q^{18} - 14 q^{24} + 40 q^{25} - 22 q^{28} - 11 q^{30} - 20 q^{31} - 22 q^{33} - 18 q^{36} - 42 q^{39} - 176 q^{40} - 11 q^{42} + 90 q^{46} - 64 q^{48} + 32 q^{49} - 90 q^{52} + 21 q^{54} - 76 q^{55} - 22 q^{57} + 76 q^{58} - 11 q^{60} - 22 q^{63} - 28 q^{64} - 44 q^{66} - 116 q^{70} - 79 q^{72} - 36 q^{73} - 22 q^{76} - 134 q^{78} - 44 q^{79} - 34 q^{81} - 40 q^{82} - 165 q^{84} - 18 q^{87} - 22 q^{88} - 198 q^{90} + 88 q^{94} - 231 q^{96} - 44 q^{97}+O(q^{100}) \) 920 * q - 22 * q^4 - 2 * q^6 - 44 * q^7 - 18 * q^9 - 22 * q^10 - 12 * q^12 - 22 * q^15 - 30 * q^16 - 10 * q^18 - 14 * q^24 + 40 * q^25 - 22 * q^28 - 11 * q^30 - 20 * q^31 - 22 * q^33 - 18 * q^36 - 42 * q^39 - 176 * q^40 - 11 * q^42 + 90 * q^46 - 64 * q^48 + 32 * q^49 - 90 * q^52 + 21 * q^54 - 76 * q^55 - 22 * q^57 + 76 * q^58 - 11 * q^60 - 22 * q^63 - 28 * q^64 - 44 * q^66 - 116 * q^70 - 79 * q^72 - 36 * q^73 - 22 * q^76 - 134 * q^78 - 44 * q^79 - 34 * q^81 - 40 * q^82 - 165 * q^84 - 18 * q^87 - 22 * q^88 - 198 * q^90 + 88 * q^94 - 231 * q^96 - 44 * q^97

Introduction

L-functions

Modular forms

Varieties

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Database

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