LMFDB - Embedded newform 280.2.br.a.67.33

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (of order $12$, degree $4$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			67.33
Character	$\chi$	$=$	280.67
Dual form			280.2.br.a.163.33

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.909105 + 1.08330i) q^{2} +(0.835437 + 3.11790i) q^{3} +(-0.347058 + 1.96966i) q^{4} +(-0.804876 - 2.08619i) q^{5} +(-2.61810 + 3.73952i) q^{6} +(2.64531 - 0.0485395i) q^{7} +(-2.44923 + 1.41466i) q^{8} +(-6.42524 + 3.70961i) q^{9} +O(q^{10})$	\(q+(0.909105 + 1.08330i) q^{2} +(0.835437 + 3.11790i) q^{3} +(-0.347058 + 1.96966i) q^{4} +(-0.804876 - 2.08619i) q^{5} +(-2.61810 + 3.73952i) q^{6} +(2.64531 - 0.0485395i) q^{7} +(-2.44923 + 1.41466i) q^{8} +(-6.42524 + 3.70961i) q^{9} +(1.52824 - 2.76848i) q^{10} +(1.23882 - 2.14570i) q^{11} +(-6.43113 + 0.563436i) q^{12} +(-0.837650 - 0.837650i) q^{13} +(2.45744 + 2.82152i) q^{14} +(5.83209 - 4.25240i) q^{15} +(-3.75910 - 1.36717i) q^{16} +(6.14695 - 1.64707i) q^{17} +(-9.85982 - 3.58800i) q^{18} +(-0.588582 + 0.339818i) q^{19} +(4.38841 - 0.861304i) q^{20} +(2.36133 + 8.20723i) q^{21} +(3.45065 - 0.608659i) q^{22} +(0.670633 - 2.50284i) q^{23} +(-6.45694 - 6.45459i) q^{24} +(-3.70435 + 3.35824i) q^{25} +(0.145911 - 1.66893i) q^{26} +(-10.0867 - 10.0867i) q^{27} +(-0.822468 + 5.22719i) q^{28} -3.80356 q^{29} +(9.90858 + 2.45200i) q^{30} +(4.91145 + 2.83563i) q^{31} +(-1.93637 - 5.31512i) q^{32} +(7.72504 + 2.06992i) q^{33} +(7.37248 + 5.16160i) q^{34} +(-2.23041 - 5.47953i) q^{35} +(-5.07674 - 13.9430i) q^{36} +(-3.91379 - 1.04870i) q^{37} +(-0.903206 - 0.328678i) q^{38} +(1.91190 - 3.31151i) q^{39} +(4.92257 + 3.97093i) q^{40} +0.957683 q^{41} +(-6.74416 + 10.0193i) q^{42} +(-4.19558 + 4.19558i) q^{43} +(3.79636 + 3.18474i) q^{44} +(12.9105 + 10.4185i) q^{45} +(3.32099 - 1.54885i) q^{46} +(-0.868770 - 0.232786i) q^{47} +(1.12220 - 12.8627i) q^{48} +(6.99529 - 0.256804i) q^{49} +(-7.00561 - 0.959908i) q^{50} +(10.2708 + 17.7895i) q^{51} +(1.94060 - 1.35917i) q^{52} +(2.66036 - 0.712842i) q^{53} +(1.75701 - 20.0967i) q^{54} +(-5.47344 - 0.857389i) q^{55} +(-6.41030 + 3.86109i) q^{56} +(-1.55124 - 1.55124i) q^{57} +(-3.45783 - 4.12038i) q^{58} +(8.10063 + 4.67690i) q^{59} +(6.35170 + 12.9630i) q^{60} +(-1.10707 + 0.639170i) q^{61} +(1.39320 + 7.89844i) q^{62} +(-16.8167 + 10.1249i) q^{63} +(3.99748 - 6.92966i) q^{64} +(-1.07329 + 2.42170i) q^{65} +(4.78054 + 10.2503i) q^{66} +(-6.43707 + 1.72481i) q^{67} +(1.11082 + 12.6790i) q^{68} +8.36385 q^{69} +(3.90828 - 7.39766i) q^{70} -0.973953i q^{71} +(10.4891 - 18.1752i) q^{72} +(-0.439806 - 1.64138i) q^{73} +(-2.42200 - 5.19317i) q^{74} +(-13.5654 - 8.74417i) q^{75} +(-0.465053 - 1.27724i) q^{76} +(3.17291 - 5.73618i) q^{77} +(5.32546 - 0.939355i) q^{78} +(-7.01405 - 12.1487i) q^{79} +(0.173441 + 8.94259i) q^{80} +(11.8936 - 20.6003i) q^{81} +(0.870634 + 1.03745i) q^{82} +(10.2393 - 10.2393i) q^{83} +(-16.9850 + 1.80263i) q^{84} +(-8.38363 - 11.4980i) q^{85} +(-8.35927 - 0.730832i) q^{86} +(-3.17763 - 11.8591i) q^{87} +(0.00127357 + 7.00784i) q^{88} +(-3.10863 + 1.79477i) q^{89} +(0.450689 + 23.4573i) q^{90} +(-2.25650 - 2.17518i) q^{91} +(4.69698 + 2.18955i) q^{92} +(-4.73798 + 17.6824i) q^{93} +(-0.537627 - 1.15276i) q^{94} +(1.18266 + 0.954381i) q^{95} +(14.9543 - 10.4778i) q^{96} +(-1.33941 - 1.33941i) q^{97} +(6.63764 + 7.34450i) q^{98} +18.3822i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	0.909105	+	1.08330i	0.642834	+	0.766006i
$2$	0.909105	+	1.08330i	0.642834	+	0.766006i
$3$	0.835437	+	3.11790i	0.482340	+	1.80012i	0.591751	+	0.806121i	$0.298437\pi$
$3$	0.835437	+	3.11790i	0.482340	+	1.80012i	−0.109411	+	0.993997i	$0.534896\pi$
$4$	−0.347058	+	1.96966i	−0.173529	+	0.984829i
$5$	−0.804876	−	2.08619i	−0.359952	−	0.932971i
$5$	−0.804876	−	2.08619i	−0.359952	−	0.932971i
$6$	−2.61810	+	3.73952i	−1.06884	+	1.52665i
$7$	2.64531	−	0.0485395i	0.999832	−	0.0183462i
$7$	2.64531	−	0.0485395i	0.999832	−	0.0183462i
$8$	−2.44923	+	1.41466i	−0.865935	+	0.500157i
$9$	−6.42524	+	3.70961i	−2.14175	+	1.23654i
$10$	1.52824	−	2.76848i	0.483272	−	0.875470i
$11$	1.23882	−	2.14570i	0.373519	−	0.646954i	−0.616585	−	0.787288i	$-0.711484\pi$
$11$	1.23882	−	2.14570i	0.373519	−	0.646954i	0.990104	+	0.140334i	$0.0448177\pi$
$12$	−6.43113	+	0.563436i	−1.85651	+	0.162650i
$13$	−0.837650	−	0.837650i	−0.232322	−	0.232322i	0.581339	−	0.813661i	$-0.302529\pi$
$13$	−0.837650	−	0.837650i	−0.232322	−	0.232322i	−0.813661	+	0.581339i	$0.802529\pi$
$14$	2.45744	+	2.82152i	0.656779	+	0.754083i
$15$	5.83209	−	4.25240i	1.50584	−	1.09796i
$16$	−3.75910	−	1.36717i	−0.939775	−	0.341792i
$17$	6.14695	−	1.64707i	1.49085	−	0.399473i	0.580828	−	0.814026i	$-0.302729\pi$
$17$	6.14695	−	1.64707i	1.49085	−	0.399473i	0.910025	+	0.414553i	$0.136062\pi$
$18$	−9.85982	−	3.58800i	−2.32398	−	0.845701i
$19$	−0.588582	+	0.339818i	−0.135030	+	0.0779596i	−0.565993	−	0.824410i	$-0.691507\pi$
$19$	−0.588582	+	0.339818i	−0.135030	+	0.0779596i	0.430963	+	0.902369i	$0.358174\pi$
$20$	4.38841	−	0.861304i	0.981279	−	0.192593i
$21$	2.36133	+	8.20723i	0.515284	+	1.79097i
$22$	3.45065	−	0.608659i	0.735681	−	0.129766i
$23$	0.670633	−	2.50284i	0.139837	−	0.521877i	−0.860094	−	0.510135i	$-0.829596\pi$
$23$	0.670633	−	2.50284i	0.139837	−	0.521877i	0.999931	−	0.0117425i	$-0.00373783\pi$
$24$	−6.45694	−	6.45459i	−1.31802	−	1.31754i
$25$	−3.70435	+	3.35824i	−0.740870	+	0.671649i
$26$	0.145911	−	1.66893i	0.0286155	−	0.327305i
$27$	−10.0867	−	10.0867i	−1.94119	−	1.94119i
$28$	−0.822468	+	5.22719i	−0.155432	+	0.987847i
$29$	−3.80356			−0.706303			−0.353152	−	0.935566i	$-0.614890\pi$
$29$	−3.80356			−0.706303			−0.353152	+	0.935566i	$0.614890\pi$
$30$	9.90858	+	2.45200i	1.80905	+	0.447671i
$31$	4.91145	+	2.83563i	0.882123	+	0.509294i	0.871358	−	0.490648i	$-0.163240\pi$
$31$	4.91145	+	2.83563i	0.882123	+	0.509294i	0.0107651	+	0.999942i	$0.496573\pi$
$32$	−1.93637	−	5.31512i	−0.342305	−	0.939589i
$33$	7.72504	+	2.06992i	1.34476	+	0.360327i
$34$	7.37248	+	5.16160i	1.26437	+	0.885207i
$35$	−2.23041	−	5.47953i	−0.377008	−	0.926210i
$36$	−5.07674	−	13.9430i	−0.846123	−	2.32383i
$37$	−3.91379	−	1.04870i	−0.643423	−	0.172405i	−0.0776697	−	0.996979i	$-0.524748\pi$
$37$	−3.91379	−	1.04870i	−0.643423	−	0.172405i	−0.565753	+	0.824574i	$0.691415\pi$
$38$	−0.903206	−	0.328678i	−0.146519	−	0.0533186i
$39$	1.91190	−	3.31151i	0.306149	−	0.530266i
$40$	4.92257	+	3.97093i	0.778327	+	0.627859i
$41$	0.957683			0.149565			0.0747825	−	0.997200i	$-0.476174\pi$
$41$	0.957683			0.149565			0.0747825	+	0.997200i	$0.476174\pi$
$42$	−6.74416	+	10.0193i	−1.04065	+	1.54600i
$43$	−4.19558	+	4.19558i	−0.639820	+	0.639820i	−0.950511	−	0.310691i	$-0.899440\pi$
$43$	−4.19558	+	4.19558i	−0.639820	+	0.639820i	0.310691	+	0.950511i	$0.399440\pi$
$44$	3.79636	+	3.18474i	0.572323	+	0.480118i
$45$	12.9105	+	10.4185i	1.92458	+	1.55309i
$46$	3.32099	−	1.54885i	0.489653	−	0.228365i
$47$	−0.868770	−	0.232786i	−0.126723	−	0.0339554i	0.194900	−	0.980823i	$-0.437562\pi$
$47$	−0.868770	−	0.232786i	−0.126723	−	0.0339554i	−0.321623	+	0.946868i	$0.604228\pi$
$48$	1.12220	−	12.8627i	0.161975	−	1.85657i
$49$	6.99529	−	0.256804i	0.999327	−	0.0366863i
$50$	−7.00561	−	0.959908i	−0.990743	−	0.135751i
$51$	10.2708	+	17.7895i	1.43820	+	2.49103i
$52$	1.94060	−	1.35917i	0.269112	−	0.188483i
$53$	2.66036	−	0.712842i	0.365429	−	0.0979164i	−0.0714319	−	0.997445i	$-0.522757\pi$
$53$	2.66036	−	0.712842i	0.365429	−	0.0979164i	0.436861	+	0.899529i	$0.356090\pi$
$54$	1.75701	−	20.0967i	0.239099	−	2.73482i
$55$	−5.47344	−	0.857389i	−0.738038	−	0.115610i
$56$	−6.41030	+	3.86109i	−0.856613	+	0.515960i
$57$	−1.55124	−	1.55124i	−0.205467	−	0.205467i
$58$	−3.45783	−	4.12038i	−0.454036	−	0.541032i
$59$	8.10063	+	4.67690i	1.05461	+	0.608881i	0.923937	−	0.382544i	$-0.124952\pi$
$59$	8.10063	+	4.67690i	1.05461	+	0.608881i	0.130675	+	0.991425i	$0.458285\pi$
$60$	6.35170	+	12.9630i	0.820001	+	1.67352i
$61$	−1.10707	+	0.639170i	−0.141746	+	0.0818373i	−0.569196	−	0.822202i	$-0.692745\pi$
$61$	−1.10707	+	0.639170i	−0.141746	+	0.0818373i	0.427450	+	0.904039i	$0.359412\pi$
$62$	1.39320	+	7.89844i	0.176937	+	1.00310i
$63$	−16.8167	+	10.1249i	−2.11870	+	1.27562i
$64$	3.99748	−	6.92966i	0.499685	−	0.866207i
$65$	−1.07329	+	2.42170i	−0.133125	+	0.300375i
$66$	4.78054	+	10.2503i	0.588443	+	1.26172i
$67$	−6.43707	+	1.72481i	−0.786413	+	0.210719i	−0.629610	−	0.776911i	$-0.716785\pi$
$67$	−6.43707	+	1.72481i	−0.786413	+	0.210719i	−0.156803	+	0.987630i	$0.550119\pi$
$68$	1.11082	+	12.6790i	0.134706	+	1.53756i
$69$	8.36385			1.00689
$70$	3.90828	−	7.39766i	0.467129	−	0.884189i
$71$		−	0.973953i		−	0.115587i	−0.998329	−	0.0577935i	$-0.981593\pi$
$71$		−	0.973953i		−	0.115587i	0.998329	−	0.0577935i	$-0.0184065\pi$
$72$	10.4891	−	18.1752i	1.23615	−	2.14197i
$73$	−0.439806	−	1.64138i	−0.0514754	−	0.192109i	0.935400	−	0.353591i	$-0.115039\pi$
$73$	−0.439806	−	1.64138i	−0.0514754	−	0.192109i	−0.986876	+	0.161482i	$0.948373\pi$
$74$	−2.42200	−	5.19317i	−0.281551	−	0.603693i
$75$	−13.5654	−	8.74417i	−1.56640	−	1.00969i
$76$	−0.465053	−	1.27724i	−0.0533453	−	0.146510i
$77$	3.17291	−	5.73618i	0.361587	−	0.653698i
$78$	5.32546	−	0.939355i	0.602990	−	0.106361i
$79$	−7.01405	−	12.1487i	−0.789142	−	1.36683i	−0.926493	−	0.376312i	$-0.877192\pi$
$79$	−7.01405	−	12.1487i	−0.789142	−	1.36683i	0.137351	−	0.990522i	$-0.456141\pi$
$80$	0.173441	+	8.94259i	0.0193913	+	0.999812i
$81$	11.8936	−	20.6003i	1.32151	−	2.28893i
$82$	0.870634	+	1.03745i	0.0961455	+	0.114568i
$83$	10.2393	−	10.2393i	1.12391	−	1.12391i	0.132767	−	0.991147i	$-0.457614\pi$
$83$	10.2393	−	10.2393i	1.12391	−	1.12391i	0.991147	−	0.132767i	$-0.0423862\pi$
$84$	−16.9850	+	1.80263i	−1.85321	+	0.196683i
$85$	−8.38363	−	11.4980i	−0.909332	−	1.24713i
$86$	−8.35927	−	0.730832i	−0.901404	−	0.0788076i
$87$	−3.17763	−	11.8591i	−0.340678	−	1.27143i
$88$	0.00127357	+	7.00784i	0.000135763	+	0.747038i
$89$	−3.10863	+	1.79477i	−0.329514	+	0.190245i	−0.655625	−	0.755086i	$-0.727595\pi$
$89$	−3.10863	+	1.79477i	−0.329514	+	0.190245i	0.326111	+	0.945331i	$0.394262\pi$
$90$	0.450689	+	23.4573i	0.0475068	+	2.47262i
$91$	−2.25650	−	2.17518i	−0.236546	−	0.228021i
$92$	4.69698	+	2.18955i	0.489694	+	0.228276i
$93$	−4.73798	+	17.6824i	−0.491306	+	1.83358i
$94$	−0.537627	−	1.15276i	−0.0554520	−	0.118898i
$95$	1.18266	+	0.954381i	0.121338	+	0.0979174i
$96$	14.9543	−	10.4778i	1.52626	−	1.06939i
$97$	−1.33941	−	1.33941i	−0.135997	−	0.135997i	0.635831	−	0.771828i	$-0.280657\pi$
$97$	−1.33941	−	1.33941i	−0.135997	−	0.135997i	−0.771828	+	0.635831i	$0.780657\pi$
$98$	6.63764	+	7.34450i	0.670503	+	0.741907i
$99$			18.3822i			1.84748i
$100$	−5.32897	−	8.46180i	−0.532897	−	0.846180i
$101$	−13.6226	−	7.86501i	−1.35550	−	0.782598i	−0.366486	−	0.930424i	$-0.619439\pi$
$101$	−13.6226	−	7.86501i	−1.35550	−	0.782598i	−0.989013	+	0.147826i	$0.952773\pi$
$102$	−9.93408	+	27.2988i	−0.983621	+	2.70299i
$103$	3.13644	−	11.7053i	0.309042	−	1.15336i	−0.620367	−	0.784312i	$-0.713016\pi$
$103$	3.13644	−	11.7053i	0.309042	−	1.15336i	0.929409	−	0.369050i	$-0.120317\pi$
$104$	3.23659	+	0.866611i	0.317374	+	0.0849782i
$105$	15.2212	−	11.5320i	1.48544	−	1.12541i
$106$	3.19077	+	2.23391i	0.309915	+	0.216977i
$107$	1.83818	−	6.86020i	0.177704	−	0.663201i	−0.818371	−	0.574690i	$-0.805123\pi$
$107$	1.83818	−	6.86020i	0.177704	−	0.663201i	0.996075	−	0.0885105i	$-0.0282107\pi$
$108$	23.3680	−	16.3667i	2.24859	−	1.57488i
$109$	−9.19843	+	15.9322i	−0.881050	+	1.52602i	−0.0308749	+	0.999523i	$0.509829\pi$
$109$	−9.19843	+	15.9322i	−0.881050	+	1.52602i	−0.850175	+	0.526500i	$0.823504\pi$
$110$	−4.04712	−	6.70881i	−0.385878	−	0.639660i
$111$		−	13.0789i		−	1.24140i
$112$	−10.0103	−	3.43412i	−0.945888	−	0.324494i
$113$	−6.71821	+	6.71821i	−0.631996	+	0.631996i	−0.948568	−	0.316572i	$-0.897468\pi$
$113$	−6.71821	+	6.71821i	−0.631996	+	0.631996i	0.316572	+	0.948568i	$0.397468\pi$
$114$	0.270212	−	3.09069i	0.0253077	−	0.289470i
$115$	−5.76116	+	0.615408i	−0.537231	+	0.0573871i
$116$	1.32005	−	7.49171i	0.122564	−	0.695588i
$117$	8.48946	+	2.27474i	0.784851	+	0.210300i
$118$	2.29786	+	13.0272i	0.211535	+	1.19925i
$119$	16.1806	−	4.65537i	1.48327	−	0.426757i
$120$	−8.26845	+	18.6655i	−0.754802	+	1.70392i
$121$	2.43063	+	4.20998i	0.220967	+	0.382726i
$122$	−1.69886	−	0.618217i	−0.153807	−	0.0559707i
$123$	0.800084	+	2.98596i	0.0721412	+	0.269235i
$124$	−7.28977	+	8.68975i	−0.654641	+	0.780363i
$125$	9.98747	+	5.02499i	0.893306	+	0.449449i
$126$	−26.2564	−	9.01278i	−2.33911	−	0.802922i
$127$	−5.67476	+	5.67476i	−0.503554	+	0.503554i	−0.912540	−	0.408987i	$-0.865882\pi$
$127$	−5.67476	+	5.67476i	−0.503554	+	0.503554i	0.408987	+	0.912540i	$0.365882\pi$
$128$	11.1410	−	1.96933i	0.984734	−	0.174066i
$129$	−16.5865	−	9.57623i	−1.46036	−	0.843140i
$130$	−3.59915	+	1.03889i	−0.315666	+	0.0911165i
$131$	−2.36463	−	4.09566i	−0.206599	−	0.357839i	0.744042	−	0.668133i	$-0.232906\pi$
$131$	−2.36463	−	4.09566i	−0.206599	−	0.357839i	−0.950641	+	0.310293i	$0.899573\pi$
$132$	−6.75807	+	14.4973i	−0.588214	+	1.26183i
$133$	−1.54049	+	0.927492i	−0.133577	+	0.0804238i
$134$	−7.72045	−	5.40522i	−0.666945	−	0.466940i
$135$	−12.9242	+	29.1613i	−1.11234	+	2.50980i
$136$	−12.7253	+	12.7299i	−1.09118	+	1.09158i
$137$	−0.506402	+	0.135690i	−0.0432648	+	0.0115928i	−0.280387	−	0.959887i	$-0.590463\pi$
$137$	−0.506402	+	0.135690i	−0.0432648	+	0.0115928i	0.237122	+	0.971480i	$0.423796\pi$
$138$	7.60361	+	9.06052i	0.647263	+	0.771283i
$139$		−	11.7750i		−	0.998744i	−0.866388	−	0.499372i	$-0.833564\pi$
$139$		−	11.7750i		−	0.998744i	0.866388	−	0.499372i	$-0.166436\pi$
$140$	11.5669	−	2.49142i	0.977580	−	0.210564i
$141$		−	2.90321i		−	0.244495i
$142$	1.05508	−	0.885426i	0.0885403	−	0.0743033i
$143$	−2.83505	+	0.759649i	−0.237079	+	0.0635251i
$144$	29.2248	−	5.16042i	2.43540	−	0.430035i
$145$	3.06139	+	7.93493i	0.254235	+	0.658960i
$146$	1.37827	−	1.96862i	0.114066	−	0.162924i
$147$	6.64481	+	21.5960i	0.548055	+	1.78121i
$148$	3.42389	−	7.34487i	0.281442	−	0.603744i
$149$	−2.98171	−	5.16447i	−0.244271	−	0.423090i	0.717655	−	0.696398i	$-0.245215\pi$
$149$	−2.98171	−	5.16447i	−0.244271	−	0.423090i	−0.961926	+	0.273309i	$0.911882\pi$
$150$	−2.85986	−	22.6447i	−0.233506	−	1.84893i
$151$	9.64976	+	5.57129i	0.785286	+	0.453385i	0.838300	−	0.545209i	$-0.183550\pi$
$151$	9.64976	+	5.57129i	0.785286	+	0.453385i	−0.0530143	+	0.998594i	$0.516883\pi$
$152$	0.960848	−	1.66494i	0.0779351	−	0.135044i
$153$	−33.3856	+	33.3856i	−2.69907	+	2.69907i
$154$	9.09849	−	1.77758i	0.733177	−	0.143242i
$155$	1.96254	−	12.5285i	0.157635	−	1.00632i
$156$	5.85900	+	4.91508i	0.469095	+	0.393521i
$157$	−0.763144	−	2.84809i	−0.0609055	−	0.227302i	0.928764	−	0.370672i	$-0.120873\pi$
$157$	−0.763144	−	2.84809i	−0.0609055	−	0.227302i	−0.989669	+	0.143370i	$0.954206\pi$
$158$	6.78412	−	18.6427i	0.539715	−	1.48313i
$159$	4.44513	+	7.69920i	0.352522	+	0.610586i
$160$	−9.52979	+	8.31764i	−0.753396	+	0.657567i
$161$	1.65254	−	6.65332i	0.130239	−	0.524355i
$162$	33.1288	−	5.84357i	2.60284	−	0.459114i
$163$	−12.1767	−	3.26273i	−0.953750	−	0.255557i	−0.251797	−	0.967780i	$-0.581022\pi$
$163$	−12.1767	−	3.26273i	−0.953750	−	0.255557i	−0.701953	+	0.712223i	$0.747688\pi$
$164$	−0.332371	+	1.88631i	−0.0259538	+	0.147296i
$165$	−1.89947	−	17.7819i	−0.147873	−	1.38432i
$166$	20.4009	+	1.78360i	1.58341	+	0.138434i
$167$	−5.02961	+	5.02961i	−0.389203	+	0.389203i	−0.874403	−	0.485200i	$-0.838747\pi$
$167$	−5.02961	+	5.02961i	−0.389203	+	0.389203i	0.485200	+	0.874403i	$0.338747\pi$
$168$	−17.3939	−	16.7610i	−1.34197	−	1.29314i
$169$		−	11.5967i		−	0.892053i
$170$	4.83413	−	19.5348i	0.370761	−	1.49825i
$171$	2.52119	−	4.36682i	0.192800	−	0.333939i
$172$	−6.80775	−	9.71997i	−0.519086	−	0.741140i
$173$	3.31913	−	12.3872i	0.252349	−	0.941780i	−0.717197	−	0.696871i	$-0.754575\pi$
$173$	3.31913	−	12.3872i	0.252349	−	0.941780i	0.969546	−	0.244909i	$-0.0787581\pi$
$174$	9.95810	−	14.2235i	0.754922	−	1.07828i
$175$	−9.63613	+	9.06339i	−0.728423	+	0.685128i
$176$	−7.59040	+	6.37224i	−0.572148	+	0.480326i
$177$	−7.81452	+	29.1642i	−0.587375	+	2.19211i
$178$	−4.77033	−	1.73593i	−0.357552	−	0.130114i
$179$	10.1656	+	5.86914i	0.759816	+	0.438680i	0.829230	−	0.558908i	$-0.188780\pi$
$179$	10.1656	+	5.86914i	0.759816	+	0.438680i	−0.0694139	+	0.997588i	$0.522113\pi$
$180$	−25.0015	+	21.8134i	−1.86350	+	1.62587i
$181$			23.5539i			1.75074i	0.483449	+	0.875372i	$0.339384\pi$
$181$			23.5539i			1.75074i	−0.483449	+	0.875372i	$0.660616\pi$
$182$	0.304970	−	4.42192i	0.0226059	−	0.327775i
$183$	−2.91776	−	2.91776i	−0.215687	−	0.215687i
$184$	1.89812	+	7.07874i	0.139931	+	0.521852i
$185$	0.962340	+	9.00897i	0.0707526	+	0.662352i
$186$	−23.4626	+	10.9425i	−1.72036	+	0.802343i
$187$	4.08086	−	15.2300i	0.298422	−	1.11372i
$188$	0.760023	−	1.63039i	0.0554304	−	0.118908i
$189$	−27.1720	−	26.1928i	−1.97647	−	1.90525i
$190$	0.0412852	+	2.14880i	0.00299515	+	0.155890i
$191$	−0.802829	+	0.463513i	−0.0580906	+	0.0335386i	−0.528764	−	0.848769i	$-0.677344\pi$
$191$	−0.802829	+	0.463513i	−0.0580906	+	0.0335386i	0.470673	+	0.882308i	$0.344011\pi$
$192$	24.9456	+	6.67443i	1.80029	+	0.481686i
$193$	−4.56175	−	17.0247i	−0.328362	−	1.22546i	−0.910889	−	0.412652i	$-0.864603\pi$
$193$	−4.56175	−	17.0247i	−0.328362	−	1.22546i	0.582527	−	0.812811i	$-0.302064\pi$
$194$	0.233314	−	2.66865i	0.0167509	−	0.191598i
$195$	−8.44727	−	1.32323i	−0.604922	−	0.0947582i
$196$	−1.92195	+	13.8674i	−0.137282	+	0.990532i
$197$	−13.9403	+	13.9403i	−0.993204	+	0.993204i	−0.999977	−	0.00677298i	$-0.997844\pi$
$197$	−13.9403	+	13.9403i	−0.993204	+	0.993204i	0.00677298	+	0.999977i	$0.497844\pi$
$198$	−19.9134	+	16.7114i	−1.41518	+	1.18762i
$199$	−11.7819	+	20.4068i	−0.835197	+	1.44660i	0.0586737	+	0.998277i	$0.481313\pi$
$199$	−11.7819	+	20.4068i	−0.835197	+	1.44660i	−0.893870	+	0.448326i	$0.852020\pi$
$200$	4.32204	−	13.4655i	0.305614	−	0.952155i
$201$	−10.7555	−	18.6291i	−0.758637	−	1.31400i
$202$	−3.86424	−	21.9074i	−0.271887	−	1.54140i
$203$	−10.0616	+	0.184623i	−0.706184	+	0.0129580i
$204$	−38.6038	+	14.0559i	−2.70281	+	0.984112i
$205$	−0.770816	−	1.99791i	−0.0538362	−	0.139540i
$206$	15.5317	−	7.24369i	1.08214	−	0.504692i
$207$	4.97558	+	18.5691i	0.345826	+	1.29064i
$208$	2.00360	+	4.29402i	0.138925	+	0.297737i
$209$			1.68390i			0.116478i
$210$	26.3302	+	6.00533i	1.81696	+	0.414407i
$211$	15.8848			1.09356			0.546778	−	0.837277i	$-0.315854\pi$
$211$	15.8848			1.09356			0.546778	+	0.837277i	$0.315854\pi$
$212$	0.480755	+	5.48740i	0.0330184	+	0.376876i
$213$	3.03668	−	0.813677i	0.208070	−	0.0557522i
$214$	9.10273	−	4.24534i	0.622249	−	0.290206i
$215$	12.1297	+	5.37584i	0.827238	+	0.366629i
$216$	38.9739	+	10.4354i	2.65184	+	0.710041i
$217$	13.1299	+	7.26271i	0.891318	+	0.493025i
$218$	−25.6216	+	4.51937i	−1.73531	+	0.306091i
$219$	4.75021	−	2.74254i	0.320990	−	0.185323i
$220$	3.58836	−	10.4832i	0.241927	−	0.706780i
$221$	−6.52866	−	3.76932i	−0.439165	−	0.253552i
$222$	14.1683	−	11.8901i	0.950915	−	0.798011i
$223$	10.5242	+	10.5242i	0.704754	+	0.704754i	0.965427	−	0.260673i	$-0.0839445\pi$
$223$	10.5242	+	10.5242i	0.704754	+	0.704754i	−0.260673	+	0.965427i	$0.583945\pi$
$224$	−5.38028	−	13.9661i	−0.359485	−	0.933151i
$225$	11.3435	−	35.3192i	0.756235	−	2.35461i
$226$	−13.3854	−	1.17025i	−0.890382	−	0.0778439i
$227$	3.94156	−	1.05614i	0.261611	−	0.0700984i	−0.125630	−	0.992077i	$-0.540095\pi$
$227$	3.94156	−	1.05614i	0.261611	−	0.0700984i	0.387240	+	0.921979i	$0.373428\pi$
$228$	3.59378	−	2.51704i	0.238004	−	0.166695i
$229$	7.79525	+	13.5018i	0.515124	+	0.892222i	0.999846	+	0.0175530i	$0.00558760\pi$
$229$	7.79525	+	13.5018i	0.515124	+	0.892222i	−0.484722	+	0.874669i	$0.661079\pi$
$230$	−5.90416	−	5.68157i	−0.389309	−	0.374631i
$231$	20.5356	+	5.10060i	1.35114	+	0.335595i
$232$	9.31580	−	5.38074i	0.611612	−	0.353263i
$233$	7.73629	+	2.07293i	0.506821	+	0.135802i	0.503164	−	0.864191i	$-0.332169\pi$
$233$	7.73629	+	2.07293i	0.506821	+	0.135802i	0.00365716	+	0.999993i	$0.498836\pi$
$234$	5.25359	+	11.2646i	0.343438	+	0.736388i
$235$	0.213617	+	1.99978i	0.0139348	+	0.130451i
$236$	−12.0233	+	14.3323i	−0.782649	+	0.932954i
$237$	32.0185	−	32.0185i	2.07983	−	2.07983i
$238$	19.7530	+	13.2962i	1.28040	+	0.861862i
$239$	20.1233			1.30166			0.650832	−	0.759221i	$-0.274420\pi$
$239$	20.1233			1.30166			0.650832	+	0.759221i	$0.274420\pi$
$240$	−27.7372	+	8.01175i	−1.79043	+	0.517156i
$241$	−13.0242	+	22.5586i	−0.838962	+	1.45313i	0.0518006	+	0.998657i	$0.483504\pi$
$241$	−13.0242	+	22.5586i	−0.838962	+	1.45313i	−0.890763	+	0.454468i	$0.849829\pi$
$242$	−2.35095	+	6.46041i	−0.151125	+	0.415291i
$243$	32.8300	+	8.79678i	2.10605	+	0.564314i
$244$	−0.874727	−	2.40239i	−0.0559987	−	0.153797i
$245$	−6.16608	−	14.3868i	−0.393937	−	0.919138i
$246$	−2.50731	+	3.58127i	−0.159860	+	0.228334i
$247$	0.777675	+	0.208377i	0.0494823	+	0.0132587i
$248$	−16.0407	+	0.00291517i	−1.01859	+	0.000185114i
$249$	40.4795	+	23.3709i	2.56529	+	1.48107i
$250$	3.63610	+	15.3876i	0.229967	+	0.973198i
$251$	6.32744			0.399385			0.199692	−	0.979859i	$-0.436006\pi$
$251$	6.32744			0.399385			0.199692	+	0.979859i	$0.436006\pi$
$252$	−14.1063	−	36.6370i	−0.888614	−	2.30791i
$253$	−4.53955	−	4.53955i	−0.285399	−	0.285399i
$254$	−11.3064	−	0.988492i	−0.709427	−	0.0620235i
$255$	28.8455	−	35.7451i	1.80638	−	2.23845i
$256$	12.2617	+	10.2787i	0.766356	+	0.642416i
$257$	−1.31361	+	4.90245i	−0.0819406	+	0.305807i	−0.994717	−	0.102652i	$-0.967267\pi$
$257$	−1.31361	+	4.90245i	−0.0819406	+	0.305807i	0.912777	+	0.408459i	$0.133934\pi$
$258$	−4.70500	−	26.6739i	−0.292920	−	1.66064i
$259$	−10.4041	−	2.58415i	−0.646478	−	0.160571i
$260$	−4.39743	−	2.95448i	−0.272717	−	0.183229i
$261$	24.4388	−	14.1097i	1.51272	−	0.873370i
$262$	2.28711	−	6.28497i	0.141298	−	0.388287i
$263$	11.6494	−	3.12146i	0.718335	−	0.192477i	0.118906	−	0.992905i	$-0.462061\pi$
$263$	11.6494	−	3.12146i	0.718335	−	0.192477i	0.599429	+	0.800428i	$0.295395\pi$
$264$	−21.8487	+	5.85858i	−1.34469	+	0.360571i
$265$	−3.62839	−	4.97626i	−0.222890	−	0.305689i
$266$	−2.40521	−	0.825613i	−0.147473	−	0.0506216i
$267$	−8.19296	−	8.19296i	−0.501401	−	0.501401i
$268$	−1.16325	−	13.2774i	−0.0710565	−	0.811048i
$269$	−5.01963	+	8.69425i	−0.306052	+	0.530098i	−0.977495	−	0.210958i	$-0.932342\pi$
$269$	−5.01963	+	8.69425i	−0.306052	+	0.530098i	0.671443	+	0.741056i	$0.265675\pi$
$270$	−43.3397	+	12.5099i	−2.63757	+	0.761330i
$271$	−12.6819	+	7.32189i	−0.770370	+	0.444773i	−0.833007	−	0.553263i	$-0.813382\pi$
$271$	−12.6819	+	7.32189i	−0.770370	+	0.444773i	0.0626365	+	0.998036i	$0.480049\pi$
$272$	−25.3588	−	2.21242i	−1.53760	−	0.134148i
$273$	4.89682	−	8.85276i	0.296369	−	0.535793i
$274$	−0.607364	−	0.425226i	−0.0366922	−	0.0256889i
$275$	2.61677	+	12.1087i	0.157797	+	0.730183i
$276$	−2.90274	+	16.4739i	−0.174724	+	0.991613i
$277$	−2.60985	−	9.74008i	−0.156810	−	0.585225i	−0.998944	−	0.0459549i	$-0.985367\pi$
$277$	−2.60985	−	9.74008i	−0.156810	−	0.585225i	0.842133	−	0.539270i	$-0.181300\pi$
$278$	12.7558	−	10.7047i	0.765043	−	0.642027i
$279$	−42.0763			−2.51904
$280$	13.2145	+	10.2654i	0.789715	+	0.613474i
$281$	−26.8015			−1.59884			−0.799420	−	0.600772i	$-0.794860\pi$
$281$	−26.8015			−1.59884			−0.799420	+	0.600772i	$0.794860\pi$
$282$	3.14504	−	2.63932i	0.187284	−	0.157169i
$283$	0.108013	+	0.403110i	0.00642071	+	0.0239624i	0.969062	−	0.246818i	$-0.0793850\pi$
$283$	0.108013	+	0.403110i	0.00642071	+	0.0239624i	−0.962641	+	0.270780i	$0.912718\pi$
$284$	1.91835	+	0.338018i	0.113833	+	0.0200577i
$285$	−1.98762	+	4.48473i	−0.117736	+	0.265653i
$286$	−3.40028	−	2.38060i	−0.201063	−	0.140768i
$287$	2.53336	−	0.0464855i	0.149540	−	0.00274395i
$288$	32.1587	+	26.9677i	1.89497	+	1.58909i
$289$	20.3497	−	11.7489i	1.19704	−	0.691111i
$290$	−5.81275	+	10.5301i	−0.341336	+	0.618347i
$291$	3.05716	−	5.29515i	0.179214	−	0.310407i
$292$	3.38559	−	0.296614i	0.198127	−	0.0173580i
$293$	−19.1952	−	19.1952i	−1.12139	−	1.12139i	−0.991532	−	0.129862i	$-0.958547\pi$
$293$	−19.1952	−	19.1952i	−1.12139	−	1.12139i	−0.129862	−	0.991532i	$-0.541453\pi$
$294$	−17.3540	+	26.8313i	−1.01211	+	1.56484i
$295$	3.23688	−	20.6638i	0.188459	−	1.20309i
$296$	11.0693	−	2.96817i	0.643392	−	0.172522i
$297$	−34.1387	+	9.14744i	−1.98093	+	0.530788i
$298$	2.88396	−	7.92511i	0.167063	−	0.459090i
$299$	−2.65826	+	1.53475i	−0.153731	+	0.0887566i
$300$	21.9310	−	23.6845i	1.26619	−	1.36742i
$301$	−10.8949	+	11.3022i	−0.627974	+	0.651451i
$302$	2.73729	+	15.5184i	0.157513	+	0.892985i
$303$	13.1414	−	49.0446i	0.754957	−	2.81754i
$304$	2.67713	−	0.472719i	0.153544	−	0.0271123i
$305$	2.22449	+	1.79511i	0.127374	+	0.102788i
$306$	−66.5175	−	5.81546i	−3.80255	−	0.332448i
$307$	0.845235	+	0.845235i	0.0482401	+	0.0482401i	0.730815	−	0.682575i	$-0.239140\pi$
$307$	0.845235	+	0.845235i	0.0482401	+	0.0482401i	−0.682575	+	0.730815i	$0.739140\pi$
$308$	10.1971	+	8.24034i	0.581035	+	0.469537i
$309$	39.1163			2.22525
$310$	15.3563	−	9.26374i	0.872177	−	0.526145i
$311$	−9.37338	−	5.41173i	−0.531516	−	0.306871i	0.210118	−	0.977676i	$-0.432615\pi$
$311$	−9.37338	−	5.41173i	−0.531516	−	0.306871i	−0.741634	+	0.670805i	$0.765949\pi$
$312$	0.00196553	+	10.8153i	0.000111276	+	0.612298i
$313$	−7.99023	−	2.14097i	−0.451634	−	0.121015i	0.0258297	−	0.999666i	$-0.491777\pi$
$313$	−7.99023	−	2.14097i	−0.451634	−	0.121015i	−0.477464	+	0.878651i	$0.658444\pi$
$314$	2.39155	−	3.41592i	0.134963	−	0.192772i
$315$	34.6578	+	26.9334i	1.95275	+	1.51752i
$316$	26.3630	−	9.59898i	1.48304	−	0.539985i
$317$	6.14770	+	1.64727i	0.345289	+	0.0925199i	0.427296	−	0.904112i	$-0.359466\pi$
$317$	6.14770	+	1.64727i	0.345289	+	0.0925199i	−0.0820068	+	0.996632i	$0.526133\pi$
$318$	−4.29941	+	11.8148i	−0.241099	+	0.662539i
$319$	−4.71194	+	8.16131i	−0.263818	+	0.456946i
$320$	−17.6740	−	2.76198i	−0.988009	−	0.154399i
$321$	22.9251			1.27955
$322$	8.70984	−	4.25837i	0.485381	−	0.237310i
$323$	−3.05828	+	3.05828i	−0.170167	+	0.170167i
$324$	36.4479	+	30.5759i	2.02488	+	1.69866i
$325$	5.91598	+	0.289914i	0.328160	+	0.0160815i
$326$	−7.53537	−	16.1571i	−0.417345	−	0.894859i
$327$	−57.3595	−	15.3694i	−3.17199	−	0.849931i
$328$	−2.34559	+	1.35479i	−0.129513	+	0.0748060i
$329$	−2.30946	−	0.573621i	−0.127325	−	0.0316248i
$330$	17.5362	−	18.2233i	0.965338	−	1.00316i
$331$	6.11818	+	10.5970i	0.336285	+	0.582464i	0.983731	−	0.179648i	$-0.0574960\pi$
$331$	6.11818	+	10.5970i	0.336285	+	0.582464i	−0.647445	+	0.762112i	$0.724163\pi$
$332$	16.6144	+	23.7216i	0.911831	+	1.30189i
$333$	29.0373	−	7.78052i	1.59123	−	0.426370i
$334$	−10.0210	−	0.876111i	−0.548324	−	0.0479387i
$335$	8.77932	+	12.0407i	0.479665	+	0.657852i
$336$	2.34421	−	34.0802i	0.127887	−	1.85923i
$337$	−6.59159	−	6.59159i	−0.359067	−	0.359067i	0.504402	−	0.863469i	$-0.331713\pi$
$337$	−6.59159	−	6.59159i	−0.359067	−	0.359067i	−0.863469	+	0.504402i	$0.831713\pi$
$338$	12.5626	−	10.5426i	0.683317	−	0.573442i
$339$	−26.5593	−	15.3340i	−1.44251	−	0.832831i
$340$	25.5567	−	12.5224i	1.38601	−	0.679123i
$341$	12.1688	−	7.02568i	0.658980	−	0.380462i
$342$	7.02258	−	1.23871i	0.379738	−	0.0669817i
$343$	18.4922	−	1.01887i	0.998486	−	0.0550139i
$344$	4.34064	−	16.2113i	0.234032	−	0.874053i
$345$	−6.73186	−	17.4486i	−0.362431	−	0.939398i
$346$	16.4364	−	7.66564i	0.883627	−	0.412107i
$347$	−0.566595	+	0.151819i	−0.0304164	+	0.00815005i	−0.273995	−	0.961731i	$-0.588345\pi$
$347$	−0.566595	+	0.151819i	−0.0304164	+	0.00815005i	0.243579	+	0.969881i	$0.421679\pi$
$348$	24.4612	−	2.14306i	1.31126	−	0.114880i
$349$	12.1672			0.651293			0.325647	−	0.945492i	$-0.394418\pi$
$349$	12.1672			0.651293			0.325647	+	0.945492i	$0.394418\pi$
$350$	−18.5786	−	2.19920i	−0.993067	−	0.117552i
$351$			16.8982i			0.901961i
$352$	−13.8035	−	2.42962i	−0.735729	−	0.129499i
$353$	−6.73476	−	25.1345i	−0.358455	−	1.33777i	−0.876081	−	0.482165i	$-0.839851\pi$
$353$	−6.73476	−	25.1345i	−0.358455	−	1.33777i	0.517626	−	0.855607i	$-0.326816\pi$
$354$	−38.6976	+	18.0479i	−2.05676	+	0.959233i
$355$	−2.03185	+	0.783912i	−0.107839	+	0.0416057i
$356$	−2.45620	−	6.74582i	−0.130179	−	0.357528i
$357$	28.0328	+	46.5602i	1.48366	+	2.46423i
$358$	2.88362	+	16.3480i	0.152404	+	0.864021i
$359$	16.4719	+	28.5301i	0.869352	+	1.50576i	0.862660	+	0.505785i	$0.168797\pi$
$359$	16.4719	+	28.5301i	0.869352	+	1.50576i	0.00669297	+	0.999978i	$0.497870\pi$
$360$	−46.3593	−	7.25334i	−2.44335	−	0.382285i
$361$	−9.26905	+	16.0545i	−0.487845	+	0.844972i
$362$	−25.5158	+	21.4129i	−1.34108	+	1.12544i
$363$	−11.0956	+	11.0956i	−0.582370	+	0.582370i
$364$	5.06750	−	3.68962i	0.265609	−	0.193389i
$365$	−3.07023	+	2.23862i	−0.160703	+	0.117175i
$366$	0.508246	−	5.81334i	0.0265665	−	0.303868i
$367$	6.33938	+	23.6589i	0.330913	+	1.23498i	0.908233	+	0.418465i	$0.137432\pi$
$367$	6.33938	+	23.6589i	0.330913	+	1.23498i	−0.577320	+	0.816518i	$0.695902\pi$
$368$	−5.94278	+	8.49154i	−0.309789	+	0.442652i
$369$	−6.15334	+	3.55263i	−0.320330	+	0.184943i
$370$	−8.88451	+	9.23259i	−0.461883	+	0.479980i
$371$	7.00287	−	2.01482i	0.363571	−	0.104604i
$372$	−33.1839	−	15.4690i	−1.72050	−	0.802031i
$373$	−6.87822	+	25.6699i	−0.356141	+	1.32914i	0.522902	+	0.852393i	$0.324849\pi$
$373$	−6.87822	+	25.6699i	−0.356141	+	1.32914i	−0.879043	+	0.476743i	$0.841817\pi$
$374$	20.2085	−	9.42485i	1.04496	−	0.487348i
$375$	−7.32349	+	35.3379i	−0.378183	+	1.82484i
$376$	2.45713	−	0.658866i	0.126717	−	0.0339784i
$377$	3.18605	+	3.18605i	0.164090	+	0.164090i
$378$	3.67234	−	53.2473i	0.188885	−	2.73874i
$379$			27.8207i			1.42905i	0.699608	+	0.714527i	$0.253358\pi$
$379$			27.8207i			1.42905i	−0.699608	+	0.714527i	$0.746642\pi$
$380$	−2.29025	+	1.99821i	−0.117488	+	0.102506i
$381$	−22.4342	−	12.9524i	−1.14934	−	0.663572i
$382$	−1.23198	−	0.448318i	−0.0630334	−	0.0229380i
$383$	−4.49695	+	16.7829i	−0.229784	+	0.857564i	0.750648	+	0.660703i	$0.229742\pi$
$383$	−4.49695	+	16.7829i	−0.229784	+	0.857564i	−0.980431	+	0.196861i	$0.936925\pi$
$384$	15.4478	+	33.0912i	0.788315	+	1.68868i
$385$	−14.5205	−	2.00238i	−0.740035	−	0.102051i
$386$	14.2956	−	20.4189i	0.727629	−	1.03930i
$387$	11.3936	−	42.5216i	0.579170	−	2.16149i
$388$	3.10304	−	2.17333i	0.157533	−	0.110334i
$389$	11.9011	−	20.6132i	0.603408	−	1.04513i	−0.388893	−	0.921283i	$-0.627143\pi$
$389$	11.9011	−	20.6132i	0.603408	−	1.04513i	0.992301	−	0.123850i	$-0.0395241\pi$
$390$	−6.24601	−	10.3538i	−0.316279	−	0.524287i
$391$		−	16.4894i		−	0.833904i
$392$	−16.7698	+	10.5249i	−0.847003	+	0.531589i
$393$	10.7943	−	10.7943i	0.544502	−	0.544502i
$394$	−27.7746	−	2.42827i	−1.39927	−	0.122334i
$395$	−19.6990	+	24.4108i	−0.991164	+	1.22824i
$396$	−36.2067	−	6.37969i	−1.81945	−	0.320591i
$397$	7.21071	+	1.93211i	0.361895	+	0.0969696i	0.435185	−	0.900341i	$-0.356683\pi$
$397$	7.21071	+	1.93211i	0.361895	+	0.0969696i	−0.0732894	+	0.997311i	$0.523350\pi$
$398$	−32.8176	+	5.78868i	−1.64500	+	0.290160i
$399$	−4.17880	−	4.02821i	−0.209202	−	0.201663i
$400$	18.5163	−	7.55951i	0.925816	−	0.377975i
$401$	−6.05602	−	10.4893i	−0.302423	−	0.523813i	0.674261	−	0.738493i	$-0.264462\pi$
$401$	−6.05602	−	10.4893i	−0.302423	−	0.523813i	−0.976684	+	0.214681i	$0.931129\pi$
$402$	10.4030	−	28.5873i	0.518852	−	1.42580i
$403$	−1.73881	−	6.48934i	−0.0866165	−	0.323257i
$404$	20.2192	−	24.1022i	1.00594	−	1.19913i
$405$	−52.5490	−	8.23157i	−2.61118	−	0.409030i
$406$	−9.34703	−	10.7318i	−0.463885	−	0.532611i
$407$	−7.09869	+	7.09869i	−0.351869	+	0.351869i
$408$	−50.3216	−	29.0410i	−2.49129	−	1.43774i
$409$	4.03201	+	2.32788i	0.199370	+	0.115106i	0.596362	−	0.802716i	$-0.296612\pi$
$409$	4.03201	+	2.32788i	0.199370	+	0.115106i	−0.396991	+	0.917822i	$0.629946\pi$
$410$	1.46357	−	2.65133i	0.0722805	−	0.130940i
$411$	−0.846134	−	1.46555i	−0.0417367	−	0.0722901i
$412$	21.9670	+	10.2401i	1.08224	+	0.504495i
$413$	21.6557	+	11.9786i	1.06561	+	0.589430i
$414$	−15.5925	+	22.2713i	−0.766330	+	1.09457i
$415$	−29.6026	−	13.1198i	−1.45313	−	0.644025i
$416$	−2.83021	+	6.07421i	−0.138762	+	0.297813i
$417$	36.7133	−	9.83729i	1.79786	−	0.481734i
$418$	−1.82416	+	1.53084i	−0.0892225	+	0.0748758i
$419$			29.5695i			1.44456i	0.691599	+	0.722282i	$0.256907\pi$
$419$			29.5695i			1.44456i	−0.691599	+	0.722282i	$0.743093\pi$
$420$	17.4314	+	33.9829i	0.850565	+	1.65820i
$421$			19.5111i			0.950915i	0.879739	+	0.475457i	$0.157717\pi$
$421$			19.5111i			0.950915i	−0.879739	+	0.475457i	$0.842283\pi$
$422$	14.4410	+	17.2080i	0.702975	+	0.837670i
$423$	6.44560	−	1.72709i	0.313396	−	0.0839742i
$424$	−5.50742	+	5.50942i	−0.267464	+	0.267561i
$425$	−17.2392	+	26.7443i	−0.836223	+	1.29729i
$426$	3.64212	+	2.54991i	0.176461	+	0.123543i
$427$	−2.89753	+	1.74454i	−0.140221	+	0.0844241i
$428$	12.8743	+	6.00148i	0.622302	+	0.290092i
$429$	−4.73701	−	8.20475i	−0.228705	−	0.396129i
$430$	5.20353	+	18.0272i	0.250937	+	0.869350i
$431$	−25.4008	−	14.6652i	−1.22351	−	0.706396i	−0.257848	−	0.966185i	$-0.583013\pi$
$431$	−25.4008	−	14.6652i	−1.22351	−	0.706396i	−0.965665	+	0.259790i	$0.916347\pi$
$432$	24.1267	+	51.7071i	1.16080	+	2.48776i
$433$	13.6380	−	13.6380i	0.655402	−	0.655402i	−0.298887	−	0.954289i	$-0.596615\pi$
$433$	13.6380	−	13.6380i	0.655402	−	0.655402i	0.954289	+	0.298887i	$0.0966152\pi$
$434$	4.06883	+	20.8262i	0.195310	+	0.999688i
$435$	−22.1827	+	16.1742i	−1.06358	+	0.775496i
$436$	−28.1885	−	23.6471i	−1.34998	−	1.13249i
$437$	0.455786	+	1.70102i	0.0218032	+	0.0813707i
$438$	7.28942	+	2.65263i	0.348302	+	0.126748i
$439$	−2.91490	−	5.04875i	−0.139121	−	0.240964i	0.788043	−	0.615620i	$-0.211094\pi$
$439$	−2.91490	−	5.04875i	−0.139121	−	0.240964i	−0.927164	+	0.374656i	$0.877761\pi$
$440$	14.6186	−	5.64310i	0.696916	−	0.269024i
$441$	−43.9937	+	27.5998i	−2.09494	+	1.31428i
$442$	−1.85194	−	10.4992i	−0.0880880	−	0.499395i
$443$	19.0188	+	5.09607i	0.903610	+	0.242121i	0.680566	−	0.732687i	$-0.261734\pi$
$443$	19.0188	+	5.09607i	0.903610	+	0.242121i	0.223044	+	0.974808i	$0.428401\pi$
$444$	25.7610	+	4.53914i	1.22256	+	0.215418i
$445$	6.24628	+	5.04061i	0.296102	+	0.238948i
$446$	−1.83322	+	20.9685i	−0.0868056	+	0.992885i
$447$	13.6112	−	13.6112i	0.643790	−	0.643790i
$448$	10.2382	−	18.5251i	0.483709	−	0.875229i
$449$			15.7430i			0.742959i	0.928441	+	0.371480i	$0.121149\pi$
$449$			15.7430i			0.742959i	−0.928441	+	0.371480i	$0.878851\pi$
$450$	48.5736	−	19.8205i	2.28978	−	0.934346i
$451$	1.18640	−	2.05491i	0.0558654	−	0.0967617i
$452$	−10.9010	−	15.5642i	−0.512739	−	0.732078i
$453$	−9.30893	+	34.7414i	−0.437372	+	1.63229i
$454$	4.72740	+	3.30974i	0.221868	+	0.155334i
$455$	−2.72163	+	6.45823i	−0.127592	+	0.302767i
$456$	5.99383	+	1.60487i	0.280687	+	0.0751551i
$457$	0.611909	−	2.28368i	0.0286239	−	0.106826i	−0.950136	−	0.311836i	$-0.899056\pi$
$457$	0.611909	−	2.28368i	0.0286239	−	0.106826i	0.978760	+	0.205010i	$0.0657227\pi$
$458$	−7.53970	+	20.7191i	−0.352307	+	0.968138i
$459$	−78.6159	−	45.3889i	−3.66947	−	2.11857i
$460$	0.787311	−	11.5611i	0.0367086	−	0.539039i
$461$			14.0164i			0.652807i	0.945231	+	0.326404i	$0.105837\pi$
$461$			14.0164i			0.652807i	−0.945231	+	0.326404i	$0.894163\pi$
$462$	13.1435	+	26.8831i	0.611492	+	1.25071i
$463$	−6.78988	−	6.78988i	−0.315553	−	0.315553i	0.531503	−	0.847056i	$-0.321627\pi$
$463$	−6.78988	−	6.78988i	−0.315553	−	0.315553i	−0.847056	+	0.531503i	$0.821627\pi$
$464$	14.2980	+	5.20011i	0.663766	+	0.241409i
$465$	40.7022	−	4.34782i	1.88752	−	0.201625i
$466$	4.78750	+	10.2652i	0.221776	+	0.475526i
$467$	8.10439	−	30.2460i	0.375026	−	1.39962i	−0.478280	−	0.878208i	$-0.658739\pi$
$467$	8.10439	−	30.2460i	0.375026	−	1.39962i	0.853306	−	0.521410i	$-0.174594\pi$
$468$	−7.42680	+	15.9319i	−0.343304	+	0.736451i
$469$	−16.9443	+	4.87510i	−0.782415	+	0.225111i
$470$	−1.97215	+	2.04942i	−0.0909687	+	0.0945327i
$471$	8.24249	−	4.75880i	0.379794	−	0.219274i
$472$	−26.4566	+	0.00480809i	−1.21776	+	0.000221310i
$473$	3.80489	+	14.2001i	0.174949	+	0.652919i
$474$	63.7937	+	5.57733i	2.93014	+	0.256175i
$475$	1.03912	−	3.23541i	0.0476782	−	0.148451i
$476$	3.55388	+	33.4859i	0.162892	+	1.53483i
$477$	−14.4491	+	14.4491i	−0.661579	+	0.661579i
$478$	18.2941	+	21.7994i	0.836754	+	0.997083i
$479$	0.389918	−	0.675358i	0.0178158	−	0.0308579i	−0.856980	−	0.515350i	$-0.827662\pi$
$479$	0.389918	−	0.675358i	0.0178158	−	0.0308579i	0.874796	+	0.484492i	$0.160995\pi$
$480$	−33.8951	−	22.7640i	−1.54709	−	1.03903i
$481$	2.39995	+	4.15683i	0.109428	+	0.189535i
$482$	−36.2780	+	6.39905i	−1.65242	+	0.291469i
$483$	22.1249	−	0.405977i	1.00672	−	0.0184726i
$484$	−9.13579	+	3.32641i	−0.415263	+	0.151200i
$485$	−1.71620	+	3.87233i	−0.0779288	+	0.175833i
$486$	20.3164	+	43.5618i	0.921572	+	1.97600i
$487$	−9.51051	−	35.4937i	−0.430962	−	1.60837i	−0.750548	−	0.660816i	$-0.770210\pi$
$487$	−9.51051	−	35.4937i	−0.430962	−	1.60837i	0.319586	−	0.947557i	$-0.396456\pi$
$488$	1.80728	−	3.13161i	0.0818116	−	0.141761i
$489$		−	40.6914i		−	1.84013i
$490$	9.97952	−	19.7588i	0.450829	−	0.892610i
$491$	16.9396			0.764474			0.382237	−	0.924064i	$-0.375154\pi$
$491$	16.9396			0.764474			0.382237	+	0.924064i	$0.375154\pi$
$492$	−6.15899	+	0.539593i	−0.277668	+	0.0243267i
$493$	−23.3803	+	6.26472i	−1.05299	+	0.282149i
$494$	0.481253	+	1.03189i	0.0216526	+	0.0464268i
$495$	38.3487	−	14.7954i	1.72365	−	0.665004i
$496$	−14.5859	−	17.3742i	−0.654925	−	0.780125i
$497$	−0.0472752	−	2.57640i	−0.00212058	−	0.115568i
$498$	11.4826	+	65.0979i	0.514547	+	2.91710i
$499$	−12.7875	+	7.38287i	−0.572448	+	0.330503i	−0.758126	−	0.652108i	$-0.773885\pi$
$499$	−12.7875	+	7.38287i	−0.572448	+	0.330503i	0.185679	+	0.982611i	$0.440552\pi$
$500$	−13.3637	+	17.9279i	−0.597644	+	0.801761i
$501$	−19.8837	−	11.4799i	−0.888338	−	0.512882i
$502$	5.75231	+	6.85449i	0.256738	+	0.305931i
$503$	20.5187	+	20.5187i	0.914884	+	0.914884i	0.996651	−	0.0817674i	$-0.0260565\pi$
$503$	20.5187	+	20.5187i	0.914884	+	0.914884i	−0.0817674	+	0.996651i	$0.526056\pi$
$504$	26.8646	−	48.5882i	1.19664	−	2.16429i
$505$	−5.44337	+	34.7496i	−0.242227	+	1.54634i
$506$	0.790748	−	9.04460i	0.0351530	−	0.402082i
$507$	36.1572	−	9.68830i	1.60580	−	0.430273i
$508$	−9.20787	−	13.1468i	−0.408533	−	0.583295i
$509$	−12.8957	−	22.3361i	−0.571593	−	0.990029i	−0.996403	−	0.0847457i	$-0.972992\pi$
$509$	−12.8957	−	22.3361i	−0.571593	−	0.990029i	0.424809	−	0.905283i	$-0.360341\pi$
$510$	64.9461	−	1.24782i	2.87586	−	0.0552544i
$511$	−1.24309	−	4.32060i	−0.0549912	−	0.191132i
$512$	0.0123366	+	22.6274i	0.000545206	+	1.00000i
$513$	9.36449	+	2.50921i	0.413452	+	0.110784i
$514$	−6.50501	+	3.03382i	−0.286924	+	0.133816i
$515$	−26.9440	+	2.87816i	−1.18729	+	0.126827i
$516$	24.6184	−	29.3463i	1.08376	−	1.29190i
$517$	−1.57574	+	1.57574i	−0.0693011	+	0.0693011i
$518$	−6.65899	−	13.6200i	−0.292579	−	0.598426i
$519$	41.3948			1.81703
$520$	−0.797142	−	7.44964i	−0.0349570	−	0.326688i
$521$	12.1953	−	21.1229i	0.534286	−	0.925410i	−0.464912	−	0.885357i	$-0.653914\pi$
$521$	12.1953	−	21.1229i	0.534286	−	0.925410i	0.999198	−	0.0400529i	$-0.0127526\pi$
$522$	37.5024	+	13.6472i	1.64144	+	0.597321i
$523$	9.38717	+	2.51528i	0.410472	+	0.109986i	0.458145	−	0.888877i	$-0.348514\pi$
$523$	9.38717	+	2.51528i	0.410472	+	0.109986i	−0.0476732	+	0.998863i	$0.515181\pi$
$524$	8.88771	−	3.23608i	0.388261	−	0.141369i
$525$	−36.3091	−	22.4725i	−1.58466	−	0.980782i
$526$	13.9720	+	9.78205i	0.609209	+	0.426518i
$527$	34.8609	+	9.34095i	1.51857	+	0.406898i
$528$	−26.2093	−	18.3425i	−1.14061	−	0.798254i
$529$	14.1041	+	8.14303i	0.613224	+	0.354045i
$530$	2.09218	−	8.45456i	0.0908786	−	0.367243i
$531$	−69.3980			−3.01162
$532$	−1.29221	−	3.35612i	−0.0560242	−	0.145506i
$533$	−0.802203	−	0.802203i	−0.0347473	−	0.0347473i
$534$	1.42714	−	16.3237i	0.0617583	−	0.706394i
$535$	−15.7912	+	1.68682i	−0.682712	+	0.0729274i
$536$	13.3259	−	13.3307i	0.575590	−	0.575799i
$537$	−9.80659	+	36.5987i	−0.423186	+	1.57935i
$538$	−13.9818	+	2.46624i	−0.602799	+	0.106327i
$539$	8.11490	−	15.3280i	0.349533	−	0.660222i
$540$	−52.9523	−	35.5769i	−2.27870	−	1.53098i
$541$	16.3797	−	9.45685i	0.704220	−	0.406582i	−0.104697	−	0.994504i	$-0.533387\pi$
$541$	16.3797	−	9.45685i	0.704220	−	0.406582i	0.808917	+	0.587922i	$0.200054\pi$
$542$	−19.4609	−	7.08187i	−0.835919	−	0.304192i
$543$	−73.4385	+	19.6778i	−3.15155	+	0.844454i
$544$	−20.6571	−	29.4824i	−0.885667	−	1.26405i
$545$	40.6410	+	6.36623i	1.74087	+	0.272699i
$546$	14.0419	−	2.74338i	0.600937	−	0.117406i
$547$	5.07311	+	5.07311i	0.216910	+	0.216910i	0.807195	−	0.590285i	$-0.200985\pi$
$547$	5.07311	+	5.07311i	0.216910	+	0.216910i	−0.590285	+	0.807195i	$0.700985\pi$
$548$	−0.0915121	−	1.04453i	−0.00390920	−	0.0446201i
$549$	4.74215	−	8.21364i	0.202390	−	0.350549i
$550$	−10.7384	+	13.8428i	−0.457887	+	0.590260i
$551$	2.23871	−	1.29252i	0.0953721	−	0.0550631i
$552$	−20.4850	+	11.8320i	−0.871900	+	0.503603i
$553$	−19.1440	−	31.7965i	−0.814086	−	1.35213i
$554$	8.17876	−	11.6820i	0.347482	−	0.496320i
$555$	−27.2850	+	10.5269i	−1.15819	+	0.446842i
$556$	23.1928	+	4.08661i	0.983592	+	0.173311i
$557$	2.61834	+	9.77177i	0.110943	+	0.414043i	0.998951	−	0.0457831i	$-0.0145783\pi$
$557$	2.61834	+	9.77177i	0.110943	+	0.414043i	−0.888009	+	0.459826i	$0.847912\pi$
$558$	−38.2518	−	45.5811i	−1.61933	−	1.92960i
$559$	7.02886			0.297289
$560$	0.892874	+	23.6475i	0.0377308	+	0.999288i
$561$	50.8947			2.14878
$562$	−24.3653	−	29.0339i	−1.02779	−	1.22472i
$563$	−2.50655	−	9.35456i	−0.105638	−	0.394248i	0.892778	−	0.450496i	$-0.148753\pi$
$563$	−2.50655	−	9.35456i	−0.105638	−	0.394248i	−0.998417	+	0.0562482i	$0.982086\pi$
$564$	5.71834	+	1.00758i	0.240785	+	0.0424269i
$565$	19.4228	+	8.60812i	0.817123	+	0.362146i
$566$	−0.338492	+	0.483480i	−0.0142279	+	0.0203222i
$567$	30.4623	−	55.0715i	1.27930	−	2.31279i
$568$	1.37781	+	2.38544i	0.0578117	+	0.100091i
$569$	−31.5070	+	18.1906i	−1.32084	+	0.762588i	−0.983863	−	0.178924i	$-0.942738\pi$
$569$	−31.5070	+	18.1906i	−1.32084	+	0.762588i	−0.336979	+	0.941512i	$0.609405\pi$
$570$	−6.66525	+	1.92391i	−0.279176	+	0.0805838i
$571$	3.18300	−	5.51312i	0.133204	−	0.230717i	−0.791706	−	0.610903i	$-0.790807\pi$
$571$	3.18300	−	5.51312i	0.133204	−	0.230717i	0.924910	+	0.380186i	$0.124140\pi$
$572$	−0.512323	−	5.84772i	−0.0214213	−	0.244505i
$573$	−2.11590	−	2.11590i	−0.0883929	−	0.0883929i
$574$	2.35345	+	2.70212i	0.0982312	+	0.112784i
$575$	5.92088	+	11.5235i	0.246918	+	0.480564i
$576$	0.0215734	+	59.3538i	0.000898891	+	2.47307i
$577$	5.05788	−	1.35525i	0.210562	−	0.0564200i	−0.151996	−	0.988381i	$-0.548570\pi$
$577$	5.05788	−	1.35525i	0.210562	−	0.0564200i	0.362558	+	0.931961i	$0.381903\pi$
$578$	31.2275	+	11.3637i	1.29889	+	0.472669i
$579$	49.2701	−	28.4461i	2.04760	−	1.18218i
$580$	−16.6916	+	3.27602i	−0.693080	+	0.136029i
$581$	26.5892	−	27.5832i	1.10311	−	1.14434i
$582$	8.51548	−	1.50204i	0.352978	−	0.0622616i
$583$	1.76617	−	6.59144i	0.0731473	−	0.272990i
$584$	3.39918	+	3.39794i	0.140659	+	0.140608i
$585$	−2.08743	−	19.5415i	−0.0863044	−	0.807941i
$586$	3.34362	−	38.2445i	0.138124	−	1.57986i
$587$	1.28429	+	1.28429i	0.0530084	+	0.0530084i	0.733114	−	0.680106i	$-0.238066\pi$
$587$	1.28429	+	1.28429i	0.0530084	+	0.0530084i	−0.680106	+	0.733114i	$0.738066\pi$
$588$	−44.8429	+	5.59294i	−1.84929	+	0.230649i
$589$	−3.85439			−0.158817
$590$	25.3276	−	15.2790i	1.04272	−	0.629027i
$591$	−55.1106	−	31.8181i	−2.26695	−	1.30882i
$592$	13.2786	+	9.29297i	0.545747	+	0.381939i
$593$	−21.5831	−	5.78316i	−0.886310	−	0.237486i	−0.213182	−	0.977012i	$-0.568383\pi$
$593$	−21.5831	−	5.78316i	−0.886310	−	0.237486i	−0.673128	+	0.739526i	$0.735050\pi$
$594$	−40.9450	−	28.6663i	−1.67999	−	1.17619i
$595$	−22.7354	−	30.0088i	−0.932059	−	1.23024i
$596$	11.2071	−	4.08058i	0.459059	−	0.167147i
$597$	−73.4694	−	19.6861i	−3.00690	−	0.805698i
$598$	−4.07922	−	1.48443i	−0.166812	−	0.0607030i
$599$	−3.39981	+	5.88865i	−0.138913	+	0.240604i	−0.927085	−	0.374851i	$-0.877694\pi$
$599$	−3.39981	+	5.88865i	−0.138913	+	0.240604i	0.788173	+	0.615454i	$0.211027\pi$
$600$	45.5948	+	2.22608i	1.86140	+	0.0908793i
$601$	7.47373			0.304860			0.152430	−	0.988314i	$-0.451290\pi$
$601$	7.47373			0.304860			0.152430	+	0.988314i	$0.451290\pi$
$602$	−22.1483	−	1.52752i	−0.902698	−	0.0622570i
$603$	34.9613	−	34.9613i	1.42374	−	1.42374i
$604$	−14.3226	+	17.0732i	−0.582776	+	0.694697i
$605$	6.82645	−	8.45927i	0.277535	−	0.343918i
$606$	65.0767	−	30.3506i	2.64356	−	1.23291i
$607$	8.52009	+	2.28295i	0.345820	+	0.0926622i	0.427548	−	0.903992i	$-0.359377\pi$
$607$	8.52009	+	2.28295i	0.345820	+	0.0926622i	−0.0817285	+	0.996655i	$0.526044\pi$
$608$	2.94589	+	2.47037i	0.119471	+	0.100187i
$609$	−8.98145	−	31.2167i	−0.363947	−	1.26496i
$610$	0.0776542	+	4.04172i	0.00314412	+	0.163644i
$611$	0.532732	+	0.922719i	0.0215520	+	0.0373292i
$612$	−54.1715	−	77.3449i	−2.18975	−	3.12648i
$613$	32.3792	−	8.67598i	1.30778	−	0.350420i	0.463396	−	0.886151i	$-0.346631\pi$
$613$	32.3792	−	8.67598i	1.30778	−	0.350420i	0.844388	+	0.535732i	$0.179964\pi$
$614$	−0.147232	+	1.68405i	−0.00594180	+	0.0679625i
$615$	5.58529	−	4.07245i	0.225221	−	0.164217i
$616$	0.343526	+	18.5378i	0.0138411	+	0.746910i
$617$	−21.5127	−	21.5127i	−0.866069	−	0.866069i	0.125966	−	0.992035i	$-0.459797\pi$
$617$	−21.5127	−	21.5127i	−0.866069	−	0.866069i	−0.992035	+	0.125966i	$0.959797\pi$
$618$	35.5608	+	42.3745i	1.43047	+	1.70455i
$619$	36.6246	+	21.1452i	1.47207	+	0.849898i	0.999507	−	0.0314006i	$-0.00999677\pi$
$619$	36.6246	+	21.1452i	1.47207	+	0.849898i	0.472560	+	0.881299i	$0.343330\pi$
$620$	23.9958	+	8.21365i	0.963695	+	0.329868i
$621$	−32.0098	+	18.4809i	−1.28451	+	0.741612i
$622$	−2.65889	−	15.0740i	−0.106612	−	0.604411i
$623$	−8.13616	+	4.89860i	−0.325968	+	0.196258i
$624$	−11.7144	+	9.83441i	−0.468952	+	0.393691i
$625$	2.44439	−	24.8802i	0.0977756	−	0.995208i
$626$	−4.94464	−	10.6021i	−0.197628	−	0.423747i
$627$	−5.25022	+	1.40679i	−0.209674	+	0.0561818i
$628$	5.87462	−	0.514680i	0.234423	−	0.0205380i
$629$	−25.7851			−1.02812
$630$	2.33082	+	62.0299i	0.0928620	+	2.47133i
$631$		−	21.0485i		−	0.837927i	−0.908003	−	0.418964i	$-0.862393\pi$
$631$		−	21.0485i		−	0.837927i	0.908003	−	0.418964i	$-0.137607\pi$
$632$	34.3653	+	19.8325i	1.36698	+	0.788894i
$633$	13.2708	+	49.5272i	0.527466	+	1.96853i
$634$	3.80442	+	8.15731i	0.151093	+	0.323968i
$635$	16.4061	+	7.27113i	0.651056	+	0.288546i
$636$	−16.7075	+	6.08333i	−0.662496	+	0.241220i
$637$	−6.07472	−	5.64449i	−0.240689	−	0.223643i
$638$	−13.1248	+	2.31507i	−0.519614	+	0.0916544i
$639$	3.61299	+	6.25788i	0.142928	+	0.247558i
$640$	−13.0755	−	21.6571i	−0.516855	−	0.856073i
$641$	−22.9707	+	39.7864i	−0.907287	+	1.57147i	−0.0894699	+	0.995990i	$0.528517\pi$
$641$	−22.9707	+	39.7864i	−0.907287	+	1.57147i	−0.817817	+	0.575478i	$0.804816\pi$
$642$	20.8413	+	24.8346i	0.822540	+	0.980144i
$643$	24.1897	−	24.1897i	0.953950	−	0.953950i	−0.0450358	−	0.998985i	$-0.514340\pi$
$643$	24.1897	−	24.1897i	0.953950	−	0.953950i	0.998985	+	0.0450358i	$0.0143402\pi$
$644$	12.5312	+	5.56403i	0.493800	+	0.219253i
$645$	−6.62771	+	42.3103i	−0.260966	+	1.66597i
$646$	−6.09332	−	0.532724i	−0.239738	−	0.0209598i
$647$	1.99992	+	7.46379i	0.0786248	+	0.293432i	0.994031	−	0.109100i	$-0.0347969\pi$
$647$	1.99992	+	7.46379i	0.0786248	+	0.293432i	−0.915406	+	0.402532i	$0.868130\pi$
$648$	0.0122272	+	67.2804i	0.000480331	+	2.64303i
$649$	20.0705	−	11.5877i	0.787836	−	0.454857i
$650$	5.06418	+	6.67232i	0.198634	+	0.261710i
$651$	−11.6751	+	47.0053i	−0.457584	+	1.84228i
$652$	10.6525	−	22.8515i	0.417183	−	0.894934i
$653$	8.32230	−	31.0593i	0.325677	−	1.21544i	−0.587953	−	0.808895i	$-0.700066\pi$
$653$	8.32230	−	31.0593i	0.325677	−	1.21544i	0.913630	−	0.406547i	$-0.133267\pi$
$654$	−35.4961	−	76.1097i	−1.38801	−	2.97612i
$655$	−6.64107	+	8.22956i	−0.259488	+	0.321555i
$656$	−3.60003	−	1.30932i	−0.140557	−	0.0511202i
$657$	8.91473	+	8.91473i	0.347797	+	0.347797i
$658$	−1.47814	−	3.02331i	−0.0576240	−	0.117861i
$659$		−	26.5566i		−	1.03450i	−0.855835	−	0.517250i	$-0.826956\pi$
$659$		−	26.5566i		−	1.03450i	0.855835	−	0.517250i	$-0.173044\pi$
$660$	35.6835	+	2.43005i	1.38898	+	0.0945895i
$661$	24.3850	+	14.0787i	0.948465	+	0.547596i	0.892604	−	0.450842i	$-0.148876\pi$
$661$	24.3850	+	14.0787i	0.948465	+	0.547596i	0.0558611	+	0.998439i	$0.482210\pi$
$662$	−5.91761	+	16.2616i	−0.229995	+	0.632024i
$663$	6.29807	−	23.5047i	0.244597	−	0.912847i
$664$	−10.5934	+	39.5637i	−0.411102	+	1.53537i
$665$	3.17482	+	2.46722i	0.123114	+	0.0956748i
$666$	34.8265	+	24.3827i	1.34950	+	0.944809i
$667$	−2.55079	+	9.51968i	−0.0987670	+	0.368603i
$668$	−8.16104	−	11.6522i	−0.315760	−	0.450836i
$669$	−24.0211	+	41.6057i	−0.928709	+	1.60857i
$670$	−5.06229	+	20.4568i	−0.195573	+	0.790316i
$671$			3.16727i			0.122271i
$672$	39.0500	−	28.4430i	1.50639	−	1.09721i
$673$	−0.208368	+	0.208368i	−0.00803201	+	0.00803201i	−0.711111	−	0.703079i	$-0.751808\pi$
$673$	−0.208368	+	0.208368i	−0.00803201	+	0.00803201i	0.703079	+	0.711111i	$0.251808\pi$
$674$	1.14820	−	13.1331i	0.0442268	−	0.505868i
$675$	71.2382	+	3.49104i	2.74196	+	0.134370i
$676$	22.8415	+	4.02472i	0.878519	+	0.154797i
$677$	26.2296	+	7.02820i	1.00808	+	0.270116i	0.724829	−	0.688929i	$-0.241919\pi$
$677$	26.2296	+	7.02820i	1.00808	+	0.270116i	0.283256	+	0.959044i	$0.408585\pi$
$678$	−7.53392	−	42.7119i	−0.289338	−	1.64034i
$679$	−3.60817	−	3.47815i	−0.138469	−	0.133479i
$680$	36.7992	+	16.3013i	1.41118	+	0.625126i
$681$	6.58586	+	11.4070i	0.252371	+	0.437119i
$682$	18.6736	+	6.79537i	0.715051	+	0.260208i
$683$	7.00457	+	26.1414i	0.268022	+	1.00027i	0.960374	+	0.278713i	$0.0899079\pi$
$683$	7.00457	+	26.1414i	0.268022	+	1.00027i	−0.692352	+	0.721560i	$0.743425\pi$
$684$	7.72615	+	6.48142i	0.295417	+	0.247823i
$685$	0.690665	+	0.947235i	0.0263890	+	0.0361920i
$686$	17.9151	+	19.1063i	0.684001	+	0.729481i
$687$	−35.5846	+	35.5846i	−1.35764	+	1.35764i
$688$	21.5077	−	10.0355i	0.819973	−	0.382602i
$689$	−2.82557	−	1.63134i	−0.107646	−	0.0621492i
$690$	12.7820	−	23.1552i	0.486601	−	0.881502i
$691$	−18.4600	−	31.9737i	−0.702252	−	1.21634i	−0.967674	−	0.252204i	$-0.918845\pi$
$691$	−18.4600	−	31.9737i	−0.702252	−	1.21634i	0.265422	−	0.964132i	$-0.414489\pi$
$692$	23.2466	+	10.8366i	0.883702	+	0.411947i
$693$	0.892264	+	48.6266i	0.0338943	+	1.84717i
$694$	−0.679558	−	0.475770i	−0.0257957	−	0.0180600i
$695$	−24.5649	+	9.47743i	−0.931799	+	0.359500i
$696$	24.5593	+	24.5504i	0.930919	+	0.930581i
$697$	5.88683	−	1.57737i	0.222979	−	0.0597472i
$698$	11.0612	+	13.1806i	0.418673	+	0.498894i
$699$			25.8527i			0.977840i
$700$	−14.5075	−	22.1254i	−0.548331	−	0.836261i
$701$			32.7053i			1.23526i	0.786468	+	0.617631i	$0.211907\pi$
$701$			32.7053i			1.23526i	−0.786468	+	0.617631i	$0.788093\pi$
$702$	−18.3058	+	15.3623i	−0.690907	+	0.579812i
$703$	2.65995	−	0.712732i	0.100322	−	0.0268812i
$704$	−9.91682	−	17.1620i	−0.373754	−	0.646818i
$705$	−6.05664	+	2.33673i	−0.228106	+	0.0880062i
$706$	21.1054	−	30.1456i	0.794314	−	1.13454i
$707$	−36.4177	−	20.1441i	−1.36963	−	0.757598i
$708$	−54.7314	−	25.5136i	−2.05693	−	0.958859i
$709$	−5.19917	−	9.00523i	−0.195259	−	0.338199i	0.751726	−	0.659475i	$-0.229221\pi$
$709$	−5.19917	−	9.00523i	−0.195259	−	0.338199i	−0.946985	+	0.321277i	$0.895888\pi$
$710$	−2.69637	−	1.48843i	−0.101193	−	0.0558599i
$711$	90.1339	+	52.0388i	3.38028	+	1.95161i
$712$	5.07477	−	8.79345i	0.190185	−	0.329549i
$713$	10.3909	−	10.3909i	0.389142	−	0.389142i
$714$	−24.9536	+	72.6959i	−0.933866	+	2.72058i
$715$	3.86664	+	5.30302i	0.144604	+	0.198322i
$716$	−15.0883	+	17.9859i	−0.563874	+	0.672165i
$717$	16.8117	+	62.7422i	0.627845	+	2.34315i
$718$	−15.9319	+	43.7808i	−0.594573	+	1.63388i
$719$	−23.3347	−	40.4169i	−0.870239	−	1.50730i	−0.861750	−	0.507334i	$-0.830631\pi$
$719$	−23.3347	−	40.4169i	−0.870239	−	1.50730i	−0.00848907	−	0.999964i	$-0.502702\pi$
$720$	−34.2879	−	56.8149i	−1.27784	−	2.11737i
$721$	7.72867	−	31.1165i	0.287831	−	1.15884i
$722$	−25.8183	+	4.55407i	−0.960856	+	0.169485i
$723$	−81.2162	−	21.7618i	−3.02046	−	0.809330i
$724$	−46.3930	−	8.17455i	−1.72418	−	0.303805i
$725$	14.0897	−	12.7733i	0.523278	−	0.474388i
$726$	−22.1070	−	1.93276i	−0.820466	−	0.0717314i
$727$	10.4956	−	10.4956i	0.389261	−	0.389261i	−0.485163	−	0.874424i	$-0.661240\pi$
$727$	10.4956	−	10.4956i	0.389261	−	0.389261i	0.874424	+	0.485163i	$0.161240\pi$
$728$	8.60383	+	2.13535i	0.318879	+	0.0791413i
$729$			38.3481i			1.42030i
$730$	−5.21625	−	1.29082i	−0.193062	−	0.0477756i
$731$	−18.8796	+	32.7004i	−0.698287	+	1.20947i
$732$	6.75961	−	4.73435i	0.249842	−	0.174987i
$733$	4.24134	−	15.8289i	0.156658	−	0.584654i	−0.842300	−	0.539009i	$-0.818799\pi$
$733$	4.24134	−	15.8289i	0.156658	−	0.584654i	0.998958	−	0.0456452i	$-0.0145344\pi$
$734$	−19.8664	+	28.3758i	−0.733282	+	1.04737i
$735$	39.7051	−	31.2445i	1.46454	−	1.15247i
$736$	−14.6015	+	1.28192i	−0.538217	+	0.0472521i
$737$	−4.27346	+	15.9488i	−0.157415	+	0.587481i
$738$	−9.44258	−	3.43617i	−0.347586	−	0.126487i
$739$	−17.4130	−	10.0534i	−0.640548	−	0.369820i	0.144278	−	0.989537i	$-0.453914\pi$
$739$	−17.4130	−	10.0534i	−0.640548	−	0.369820i	−0.784825	+	0.619717i	$0.787247\pi$
$740$	−18.0786	−	1.23115i	−0.664581	−	0.0452580i
$741$			2.59879i			0.0954691i
$742$	8.54899	+	5.75450i	0.313843	+	0.211254i
$743$	−13.0655	−	13.0655i	−0.479326	−	0.479326i	0.425590	−	0.904916i	$-0.360066\pi$
$743$	−13.0655	−	13.0655i	−0.479326	−	0.479326i	−0.904916	+	0.425590i	$0.860066\pi$
$744$	−13.4101	−	50.0109i	−0.491639	−	1.83349i
$745$	−8.37414	+	10.3772i	−0.306805	+	0.380190i
$746$	−34.0611	+	15.8855i	−1.24707	+	0.581608i
$747$	−27.8062	+	103.774i	−1.01738	+	3.79690i
$748$	28.5815	+	13.3236i	1.04504	+	0.487158i
$749$	4.52957	−	18.2366i	0.165507	−	0.666349i
$750$	−44.9392	+	24.1924i	−1.64095	+	0.883381i
$751$	−2.69156	+	1.55397i	−0.0982165	+	0.0567053i	−0.548304	−	0.836279i	$-0.684726\pi$
$751$	−2.69156	+	1.55397i	−0.0982165	+	0.0567053i	0.450087	+	0.892985i	$0.351393\pi$
$752$	2.94754	+	2.06282i	0.107486	+	0.0752234i
$753$	5.28618	+	19.7283i	0.192639	+	0.718939i
$754$	−0.554981	+	6.34789i	−0.0202112	+	0.231176i
$755$	3.85589	−	24.6154i	0.140330	−	0.895846i
$756$	61.0211	−	44.4291i	2.21932	−	1.61587i
$757$	33.5021	−	33.5021i	1.21766	−	1.21766i	0.249204	−	0.968451i	$-0.419831\pi$
$757$	33.5021	−	33.5021i	1.21766	−	1.21766i	0.968451	−	0.249204i	$-0.0801691\pi$
$758$	−30.1380	+	25.2919i	−1.09466	+	0.918644i
$759$	10.3613	−	17.9464i	0.376092	−	0.651411i
$760$	−4.24673	−	0.664440i	−0.154045	−	0.0241018i
$761$	−8.47733	−	14.6832i	−0.307303	−	0.532264i	0.670469	−	0.741938i	$-0.266093\pi$
$761$	−8.47733	−	14.6832i	−0.307303	−	0.532264i	−0.977771	+	0.209674i	$0.932760\pi$
$762$	−6.36378	−	36.0780i	−0.230535	−	1.30697i
$763$	−23.5593	+	42.5919i	−0.852905	+	1.54193i
$764$	−0.634335	−	1.74216i	−0.0229494	−	0.0630292i
$765$	96.5199	+	42.7773i	3.48968	+	1.54662i
$766$	−22.2690	+	10.3858i	−0.804611	+	0.375256i
$767$	−2.86789	−	10.7031i	−0.103553	−	0.386467i
$768$	−21.8039	+	46.8179i	−0.786781	+	1.68939i
$769$		−	40.7180i		−	1.46833i	−0.678972	−	0.734164i	$-0.737574\pi$
$769$		−	40.7180i		−	1.46833i	0.678972	−	0.734164i	$-0.262426\pi$
$770$	−11.0315	−	17.5504i	−0.397548	−	0.632473i
$771$	−16.3828			−0.590011
$772$	35.1160	−	3.07654i	1.26385	−	0.110727i
$773$	−32.7546	+	8.77656i	−1.17810	+	0.315671i	−0.794172	−	0.607692i	$-0.792095\pi$
$773$	−32.7546	+	8.77656i	−1.17810	+	0.315671i	−0.383927	+	0.923363i	$0.625429\pi$
$774$	56.4214	−	26.3139i	2.02803	−	0.945834i
$775$	−27.7165	+	5.98970i	−0.995605	+	0.215156i
$776$	5.17535	+	1.38572i	0.185784	+	0.0497446i
$777$	−0.634844	−	34.5977i	−0.0227749	−	1.24119i
$778$	33.1495	−	5.84723i	1.18847	−	0.209633i
$779$	−0.563675	+	0.325438i	−0.0201958	+	0.0116600i
$780$	5.53799	−	16.1790i	0.198292	−	0.579301i
$781$	−2.08982	−	1.20656i	−0.0747795	−	0.0431740i
$782$	17.8629	−	14.9906i	0.638775	−	0.536062i
$783$	38.3653	+	38.3653i	1.37106	+	1.37106i
$784$	−26.6471	−	8.59839i	−0.951682	−	0.307086i
$785$	−5.32741	+	3.88442i	−0.190143	+	0.138641i
$786$	21.5066	+	1.88027i	0.767116	+	0.0670671i
$787$	−29.7565	+	7.97322i	−1.06070	+	0.284215i	−0.746668	−	0.665196i	$-0.768348\pi$
$787$	−29.7565	+	7.97322i	−1.06070	+	0.284215i	−0.314036	+	0.949411i	$0.601681\pi$
$788$	−22.6195	−	32.2957i	−0.805786	−	1.15049i
$789$	19.4647	+	33.7139i	0.692963	+	1.20025i
$790$	−44.3526	+	0.852152i	−1.57799	+	0.0303182i
$791$	−17.4456	+	18.0978i	−0.620295	+	0.643485i
$792$	−26.0046	−	45.0223i	−0.924032	−	1.59980i
$793$	1.46274	+	0.391941i	0.0519435	+	0.0139182i
$794$	4.46225	+	9.56782i	0.158359	+	0.339549i
$795$	12.4842	−	15.4703i	0.442768	−	0.548674i
$796$	−36.1055	−	30.2887i	−1.27973	−	1.07355i
$797$	5.09246	−	5.09246i	0.180384	−	0.180384i	−0.611139	−	0.791523i	$-0.709288\pi$
$797$	5.09246	−	5.09246i	0.180384	−	0.180384i	0.791523	+	0.611139i	$0.209288\pi$
$798$	0.564772	−	8.18894i	0.0199927	−	0.289885i
$799$	−5.72370			−0.202490
$800$	25.0224	+	13.1863i	0.884677	+	0.466204i
$801$	13.3158	−	23.0636i	0.470490	−	0.814913i
$802$	5.85749	−	16.0964i	0.206835	−	0.568382i
$803$	−4.06675	−	1.08968i	−0.143513	−	0.0384541i
$804$	40.4258	−	14.7193i	1.42571	−	0.519111i
$805$	−15.2102	+	1.90759i	−0.536087	+	0.0672336i
$806$	5.44911	−	7.78314i	0.191937	−	0.274149i
$807$	−31.3013	−	8.38717i	−1.10186	−	0.295242i
$808$	44.4912	−	0.00808563i	1.56520	−	0.000284452i
$809$	−6.85811	−	3.95953i	−0.241118	−	0.139210i	0.374572	−	0.927198i	$-0.377790\pi$
$809$	−6.85811	−	3.95953i	−0.241118	−	0.139210i	−0.615691	+	0.787988i	$0.711123\pi$
$810$	−38.8554	−	64.4095i	−1.36524	−	2.26312i
$811$	40.2831			1.41453			0.707266	−	0.706948i	$-0.249928\pi$
$811$	40.2831			1.41453			0.707266	+	0.706948i	$0.249928\pi$
$812$	3.12830	−	19.8819i	0.109782	−	0.697719i
$813$	−33.4238	−	33.4238i	−1.17222	−	1.17222i
$814$	−14.1434	−	1.23653i	−0.495727	−	0.0433402i
$815$	2.99405	+	28.0289i	0.104877	+	0.981810i
$816$	−14.2876	−	80.9145i	−0.500167	−	2.83257i
$817$	1.04371	−	3.89518i	0.0365148	−	0.136275i
$818$	1.14374	+	6.48415i	0.0399898	+	0.226713i
$819$	22.5676	+	5.60532i	0.788577	+	0.195866i
$820$	4.20271	−	0.824856i	0.146765	−	0.0288052i
$821$	13.6970	−	7.90794i	0.478027	−	0.275989i	−0.241567	−	0.970384i	$-0.577661\pi$
$821$	13.6970	−	7.90794i	0.478027	−	0.275989i	0.719594	+	0.694395i	$0.244328\pi$
$822$	0.818396	−	2.24895i	0.0285448	−	0.0784411i
$823$	9.90021	−	2.65275i	0.345099	−	0.0924691i	−0.0821062	−	0.996624i	$-0.526165\pi$
$823$	9.90021	−	2.65275i	0.345099	−	0.0924691i	0.427206	+	0.904154i	$0.359498\pi$
$824$	8.87720	+	33.1061i	0.309252	+	1.15331i
$825$	−35.5675	+	18.2749i	−1.23830	+	0.636250i
$826$	6.71086	+	34.3493i	0.233501	+	1.19517i
$827$	18.6181	+	18.6181i	0.647416	+	0.647416i	0.952368	−	0.304952i	$-0.0986403\pi$
$827$	18.6181	+	18.6181i	0.647416	+	0.647416i	−0.304952	+	0.952368i	$0.598640\pi$
$828$	−38.3016	+	3.35563i	−1.33107	+	0.116616i
$829$	16.4972	−	28.5740i	0.572972	−	0.992416i	−0.423287	−	0.905996i	$-0.639124\pi$
$829$	16.4972	−	28.5740i	0.572972	−	0.992416i	0.996259	−	0.0864204i	$-0.0275428\pi$
$830$	−12.6993	−	43.9956i	−0.440798	−	1.52711i
$831$	28.1882	−	16.2745i	0.977837	−	0.564555i
$832$	−9.15312	+	2.45614i	−0.317327	+	0.0851512i
$833$	42.5767	−	13.1003i	1.47519	−	0.453898i
$834$	44.0329	+	30.8282i	1.52473	+	1.06749i
$835$	14.5409	+	6.44449i	0.503209	+	0.223021i
$836$	−3.31670	−	0.584410i	−0.114711	−	0.0202122i
$837$	−20.9382	−	78.1424i	−0.723730	−	2.70100i
$838$	−32.0325	+	26.8817i	−1.10654	+	0.928615i
$839$	−46.3593			−1.60050			−0.800251	−	0.599666i	$-0.795300\pi$
$839$	−46.3593			−1.60050			−0.800251	+	0.599666i	$0.795300\pi$
$840$	−20.9666	+	49.7774i	−0.723415	+	1.71748i
$841$	−14.5329			−0.501136
$842$	−21.1363	+	17.7377i	−0.728406	+	0.611280i
$843$	−22.3909	−	83.5641i	−0.771185	−	2.87810i
$844$	−5.51295	+	31.2877i	−0.189764	+	1.07697i
$845$	−24.1928	+	9.33390i	−0.832259	+	0.321096i
$846$	7.73068	+	5.41238i	0.265786	+	0.186082i
$847$	6.63412	+	11.0187i	0.227951	+	0.378607i
$848$	−10.9752	−	0.957522i	−0.376888	−	0.0328814i
$849$	−1.16662	+	0.673547i	−0.0400382	+	0.0231161i
$850$	−44.6441	+	5.63822i	−1.53128	+	0.193389i
$851$	−5.24943	+	9.09228i	−0.179948	+	0.311679i
$852$	0.548761	+	6.26362i	0.0188002	+	0.214588i
$853$	12.1510	+	12.1510i	0.416041	+	0.416041i	0.883837	−	0.467795i	$-0.154952\pi$
$853$	12.1510	+	12.1510i	0.416041	+	0.416041i	−0.467795	+	0.883837i	$0.654952\pi$
$854$	−4.52400	−	1.55291i	−0.154808	−	0.0531395i
$855$	−11.1393	−	1.74491i	−0.380954	−	0.0596748i
$856$	5.20270	+	19.4026i	0.177825	+	0.663168i
$857$	44.1259	−	11.8235i	1.50731	−	0.403883i	0.591769	−	0.806107i	$-0.298430\pi$
$857$	44.1259	−	11.8235i	1.50731	−	0.403883i	0.915541	+	0.402225i	$0.131763\pi$
$858$	4.58173	−	12.5906i	0.156418	−	0.429835i
$859$	16.6199	−	9.59551i	0.567064	−	0.327395i	−0.188912	−	0.981994i	$-0.560496\pi$
$859$	16.6199	−	9.59551i	0.567064	−	0.327395i	0.755976	+	0.654599i	$0.227163\pi$
$860$	−14.7983	+	22.0256i	−0.504617	+	0.751067i
$861$	2.26140	+	7.85993i	0.0770685	+	0.267866i
$862$	−7.20528	−	40.8487i	−0.245413	−	1.39131i
$863$	−13.5525	+	50.5786i	−0.461332	+	1.72171i	0.207441	+	0.978247i	$0.433486\pi$
$863$	−13.5525	+	50.5786i	−0.461332	+	1.72171i	−0.668773	+	0.743466i	$0.733180\pi$
$864$	−34.0804	+	73.1435i	−1.15944	+	2.48839i
$865$	−28.5135	+	3.04581i	−0.969487	+	0.103561i
$866$	27.1724	+	2.37562i	0.923356	+	0.0807268i
$867$	53.6327	+	53.6327i	1.82146	+	1.82146i
$868$	−18.8619	+	23.3409i	−0.640214	+	0.792242i
$869$	−34.7567			−1.17904
$870$	−37.6879	−	9.32632i	−1.27774	−	0.316192i
$871$	6.83680	+	3.94723i	0.231656	+	0.133747i
$872$	−0.00945646	−	52.0342i	−0.000320236	−	1.76210i
$873$	13.5748	+	3.63735i	0.459436	+	0.123106i
$874$	−1.42835	+	2.04015i	−0.0483146	+	0.0690092i
$875$	26.6638	+	12.8078i	0.901401	+	0.432984i
$876$	3.75326	+	10.3081i	0.126811	+	0.348279i
$877$	−15.5988	−	4.17969i	−0.526735	−	0.141138i	−0.0143549	−	0.999897i	$-0.504569\pi$
$877$	−15.5988	−	4.17969i	−0.526735	−	0.141138i	−0.512380	+	0.858759i	$0.671236\pi$
$878$	2.81934	−	7.74754i	0.0951482	−	0.261467i
$879$	43.8122	−	75.8849i	1.47775	−	2.55953i
$880$	19.4030	+	10.7061i	0.654076	+	0.360904i
$881$	−49.7235			−1.67523			−0.837613	−	0.546264i	$-0.816050\pi$
$881$	−49.7235			−1.67523			−0.837613	+	0.546264i	$0.816050\pi$
$882$	−69.8937	−	22.5671i	−2.35344	−	0.759873i
$883$	−39.0926	+	39.0926i	−1.31557	+	1.31557i	−0.398330	+	0.917242i	$0.630410\pi$
$883$	−39.0926	+	39.0926i	−1.31557	+	1.31557i	−0.917242	+	0.398330i	$0.869590\pi$
$884$	9.69010	−	11.5511i	0.325913	−	0.388504i
$885$	67.1316	−	7.17102i	2.25661	−	0.241051i
$886$	11.7695	+	25.2358i	0.395405	+	0.847814i
$887$	−12.4497	−	3.33589i	−0.418020	−	0.112008i	0.0436773	−	0.999046i	$-0.486093\pi$
$887$	−12.4497	−	3.33589i	−0.418020	−	0.112008i	−0.461697	+	0.887038i	$0.652759\pi$
$888$	18.5022	+	32.0333i	0.620893	+	1.07497i
$889$	−14.7360	+	15.2869i	−0.494231	+	0.512707i
$890$	0.218050	+	11.3490i	0.00730906	+	0.380420i
$891$	−29.4682	−	51.0404i	−0.987221	−	1.70992i
$892$	−24.3816	+	17.0766i	−0.816357	+	0.571767i
$893$	0.590448	−	0.158210i	0.0197586	−	0.00529430i
$894$	27.1190	+	2.37095i	0.906997	+	0.0792966i
$895$	4.06203	−	25.9314i	0.135779	−	0.866789i
$896$	29.3757	−	5.75026i	0.981375	−	0.192103i
$897$	−7.00598	−	7.00598i	−0.233923	−	0.233923i
$898$	−17.0543	+	14.3121i	−0.569111	+	0.477599i
$899$	−18.6810	−	10.7855i	−0.623046	−	0.359716i
$900$	65.6299	+	34.6007i	2.18766	+	1.15336i
$901$	15.1790	−	8.76361i	0.505686	−	0.291958i
$902$	3.30463	−	0.582902i	0.110032	−	0.0194085i
$903$	−44.3413	−	24.5270i	−1.47558	−	0.816206i
$904$	6.95049	−	25.9585i	0.231170	−	0.863365i
$905$	49.1378	−	18.9579i	1.63339	−	0.630184i
$906$	−46.0980	+	21.4992i	−1.53150	+	0.714264i
$907$	−24.3312	+	6.51953i	−0.807905	+	0.216477i	−0.639052	−	0.769164i	$-0.720673\pi$
$907$	−24.3312	+	6.51953i	−0.807905	+	0.216477i	−0.168853	+	0.985641i	$0.554006\pi$
$908$	0.712282	+	8.13007i	0.0236379	+	0.269806i
$909$	116.705			3.87085
$910$	−9.47042	+	2.92288i	−0.313941	+	0.0968925i
$911$		−	53.5648i		−	1.77468i	−0.461116	−	0.887340i	$-0.652551\pi$
$911$		−	53.5648i		−	1.77468i	0.461116	−	0.887340i	$-0.347449\pi$
$912$	3.71046	+	7.95208i	0.122866	+	0.263320i
$913$	−9.28587	−	34.6553i	−0.307318	−	1.14692i
$914$	3.03018	−	1.41322i	0.100230	−	0.0467452i
$915$	−3.73855	+	8.43542i	−0.123593	+	0.278866i
$916$	−29.2992	+	10.6681i	−0.968074	+	0.352483i
$917$	−6.45397	−	10.7195i	−0.213129	−	0.353989i
$918$	−22.3005	−	126.427i	−0.736025	−	4.17273i
$919$	5.91387	+	10.2431i	0.195081	+	0.337890i	0.946927	−	0.321449i	$-0.104170\pi$
$919$	5.91387	+	10.2431i	0.195081	+	0.337890i	−0.751846	+	0.659338i	$0.770836\pi$
$920$	13.2398	−	9.65735i	0.436504	−	0.318393i
$921$	−1.92921	+	3.34149i	−0.0635697	+	0.110106i
$922$	−15.1839	+	12.7423i	−0.500054	+	0.419647i
$923$	−0.815832	+	0.815832i	−0.0268534	+	0.0268534i
$924$	−17.1735	+	38.6778i	−0.564965	+	1.27241i
$925$	18.0198	−	9.25873i	0.592488	−	0.304425i
$926$	1.18274	−	13.5282i	0.0388671	−	0.444563i
$927$	23.2699	+	86.8446i	0.764285	+	2.85235i
$928$	7.36509	+	20.2164i	0.241771	+	0.663635i
$929$	−47.3135	+	27.3165i	−1.55231	+	0.896224i	−0.554353	+	0.832282i	$0.687034\pi$
$929$	−47.3135	+	27.3165i	−1.55231	+	0.896224i	−0.997954	+	0.0639427i	$0.979633\pi$
$930$	41.7126	+	40.1399i	1.36781	+	1.31624i
$931$	−4.03004	+	2.52828i	−0.132079	+	0.0828609i
$932$	−6.76790	+	14.5184i	−0.221690	+	0.475566i
$933$	9.04232	−	33.7464i	0.296032	−	1.10481i
$934$	40.1331	−	18.7173i	1.31319	−	0.612450i
$935$	−35.0571	+	3.74481i	−1.14649	+	0.122468i
$936$	−24.0106	+	6.43831i	−0.784813	+	0.210443i
$937$	36.1144	+	36.1144i	1.17981	+	1.17981i	0.979793	+	0.200015i	$0.0640990\pi$
$937$	36.1144	+	36.1144i	1.17981	+	1.17981i	0.200015	+	0.979793i	$0.435901\pi$
$938$	−20.6853	−	13.9237i	−0.675399	−	0.454625i
$939$		−	26.7013i		−	0.871365i
$940$	−4.01302	−	0.273287i	−0.130890	−	0.00891364i
$941$	38.0916	+	21.9922i	1.24175	+	0.716924i	0.969450	−	0.245288i	$-0.0788827\pi$
$941$	38.0916	+	21.9922i	1.24175	+	0.716924i	0.272299	+	0.962213i	$0.412216\pi$
$942$	12.6485	+	4.60280i	0.412110	+	0.149967i
$943$	0.642254	−	2.39692i	0.0209147	−	0.0780546i
$944$	−24.0570	−	28.6559i	−0.782988	−	0.932670i
$945$	−32.7729	+	77.7678i	−1.06610	+	2.52979i
$946$	−11.9238	+	17.0312i	−0.387677	+	0.553731i
$947$	3.62153	−	13.5157i	0.117684	−	0.439203i	−0.881790	−	0.471643i	$-0.843661\pi$
$947$	3.62153	−	13.5157i	0.117684	−	0.439203i	0.999474	+	0.0324401i	$0.0103278\pi$
$948$	51.9533	+	74.1778i	1.68736	+	2.40918i
$949$	−1.00650	+	1.74330i	−0.0326723	+	0.0565900i
$950$	4.44957	−	1.81565i	0.144363	−	0.0589074i
$951$			20.5441i			0.666187i
$952$	−33.0443	+	34.2921i	−1.07097	+	1.11141i
$953$	−7.62036	+	7.62036i	−0.246848	+	0.246848i	−0.819676	−	0.572828i	$-0.805846\pi$
$953$	−7.62036	+	7.62036i	−0.246848	+	0.246848i	0.572828	+	0.819676i	$0.305846\pi$
$954$	−28.7884	−	2.51690i	−0.932058	−	0.0814876i
$955$	1.61315	+	1.30178i	0.0522004	+	0.0421246i
$956$	−6.98393	+	39.6359i	−0.225876	+	1.28192i
$957$	−29.3826	−	7.87306i	−0.949806	−	0.254500i
$958$	1.08609	−	0.191575i	0.0350899	−	0.00618949i
$959$	−1.33300	+	0.383522i	−0.0430448	+	0.0123846i
$960$	−6.15400	−	57.4132i	−0.198620	−	1.85300i
$961$	0.581578	+	1.00732i	0.0187606	+	0.0324943i
$962$	−2.32127	+	6.37884i	−0.0748408	+	0.205662i
$963$	13.6379	+	50.8974i	0.439475	+	1.64014i
$964$	−39.9125	−	33.4823i	−1.28550	−	1.07839i
$965$	−31.8450	+	23.2194i	−1.02513	+	0.747460i
$966$	20.5537	+	23.5988i	0.661304	+	0.759278i
$967$	1.97282	−	1.97282i	0.0634417	−	0.0634417i	−0.674674	−	0.738116i	$-0.735716\pi$
$967$	1.97282	−	1.97282i	0.0634417	−	0.0634417i	0.738116	+	0.674674i	$0.235716\pi$
$968$	−11.9089	−	6.87271i	−0.382766	−	0.220897i
$969$	−12.0904	−	6.98039i	−0.388399	−	0.224243i
$970$	−5.75509	+	1.66120i	−0.184785	+	0.0533378i
$971$	−10.2184	−	17.6987i	−0.327923	−	0.567979i	0.654177	−	0.756342i	$-0.273015\pi$
$971$	−10.2184	−	17.6987i	−0.327923	−	0.567979i	−0.982099	+	0.188363i	$0.939682\pi$
$972$	−28.7206	+	61.6109i	−0.921213	+	1.97617i
$973$	−0.571554	−	31.1485i	−0.0183232	−	0.998576i
$974$	29.8041	−	42.5702i	0.954985	−	1.36404i
$975$	4.03851	+	18.6876i	0.129336	+	0.598483i
$976$	5.03546	−	0.889146i	0.161181	−	0.0284609i
$977$	−4.05294	+	1.08598i	−0.129665	+	0.0347437i	−0.323068	−	0.946376i	$-0.604714\pi$
$977$	−4.05294	+	1.08598i	−0.129665	+	0.0347437i	0.193403	+	0.981119i	$0.438048\pi$
$978$	44.0808	−	36.9927i	1.40955	−	1.18290i
$979$			8.89360i			0.284241i
$980$	30.4770	−	7.15203i	0.973553	−	0.228463i
$981$		−	136.490i		−	4.35781i
$982$	15.3999	+	18.3506i	0.491430	+	0.585591i
$983$	17.1102	−	4.58467i	0.545731	−	0.146228i	0.0245883	−	0.999698i	$-0.492173\pi$
$983$	17.1102	−	4.58467i	0.545731	−	0.146228i	0.521143	+	0.853469i	$0.325506\pi$
$984$	−6.18370	−	6.18145i	−0.197129	−	0.197058i
$985$	40.3022	+	17.8618i	1.28414	+	0.569125i
$986$	−28.0417	−	19.6324i	−0.893028	−	0.625224i
$987$	−0.140921	−	7.67989i	−0.00448555	−	0.244454i
$988$	−0.680330	+	1.45943i	−0.0216442	+	0.0464308i
$989$	7.68715	+	13.3145i	0.244437	+	0.423378i
$990$	50.8908	+	28.0924i	1.61742	+	0.892836i
$991$	−8.43961	−	4.87261i	−0.268093	−	0.154784i	0.359928	−	0.932980i	$-0.382801\pi$
$991$	−8.43961	−	4.87261i	−0.268093	−	0.154784i	−0.628021	+	0.778197i	$0.716135\pi$
$992$	5.56132	−	31.5958i	0.176572	−	1.00317i
$993$	−27.9290	+	27.9290i	−0.886299	+	0.886299i
$994$	2.74803	−	2.39343i	0.0871622	−	0.0759151i
$995$	52.0555	+	8.15425i	1.65027	+	0.258507i
$996$	−60.0814	+	71.6198i	−1.90375	+	2.26936i
$997$	−15.9489	−	59.5220i	−0.505105	−	1.88508i	−0.463815	−	0.885932i	$-0.653520\pi$
$997$	−15.9489	−	59.5220i	−0.505105	−	1.88508i	−0.0412903	−	0.999147i	$-0.513147\pi$
$998$	−19.6230	−	7.14085i	−0.621156	−	0.226040i
$999$	28.8993	+	50.0551i	0.914334	+	1.58367i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.67.33	yes	176
5.3	odd	4	inner	280.2.br.a.123.36	yes	176
7.2	even	3	inner	280.2.br.a.107.28	yes	176
8.3	odd	2	inner	280.2.br.a.67.5	✓	176
35.23	odd	12	inner	280.2.br.a.163.5	yes	176
40.3	even	4	inner	280.2.br.a.123.28	yes	176
56.51	odd	6	inner	280.2.br.a.107.36	yes	176
280.163	even	12	inner	280.2.br.a.163.33	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.5	✓	176	8.3	odd	2	inner
280.2.br.a.67.33	yes	176	1.1	even	1	trivial
280.2.br.a.107.28	yes	176	7.2	even	3	inner
280.2.br.a.107.36	yes	176	56.51	odd	6	inner
280.2.br.a.123.28	yes	176	40.3	even	4	inner
280.2.br.a.123.36	yes	176	5.3	odd	4	inner
280.2.br.a.163.5	yes	176	35.23	odd	12	inner
280.2.br.a.163.33	yes	176	280.163	even	12	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.909105 + 1.08330i) q^{2} +(0.835437 + 3.11790i) q^{3} +(-0.347058 + 1.96966i) q^{4} +(-0.804876 - 2.08619i) q^{5} +(-2.61810 + 3.73952i) q^{6} +(2.64531 - 0.0485395i) q^{7} +(-2.44923 + 1.41466i) q^{8} +(-6.42524 + 3.70961i) q^{9} +O(q^{10})\)	\(q+(0.909105 + 1.08330i) q^{2} +(0.835437 + 3.11790i) q^{3} +(-0.347058 + 1.96966i) q^{4} +(-0.804876 - 2.08619i) q^{5} +(-2.61810 + 3.73952i) q^{6} +(2.64531 - 0.0485395i) q^{7} +(-2.44923 + 1.41466i) q^{8} +(-6.42524 + 3.70961i) q^{9} +(1.52824 - 2.76848i) q^{10} +(1.23882 - 2.14570i) q^{11} +(-6.43113 + 0.563436i) q^{12} +(-0.837650 - 0.837650i) q^{13} +(2.45744 + 2.82152i) q^{14} +(5.83209 - 4.25240i) q^{15} +(-3.75910 - 1.36717i) q^{16} +(6.14695 - 1.64707i) q^{17} +(-9.85982 - 3.58800i) q^{18} +(-0.588582 + 0.339818i) q^{19} +(4.38841 - 0.861304i) q^{20} +(2.36133 + 8.20723i) q^{21} +(3.45065 - 0.608659i) q^{22} +(0.670633 - 2.50284i) q^{23} +(-6.45694 - 6.45459i) q^{24} +(-3.70435 + 3.35824i) q^{25} +(0.145911 - 1.66893i) q^{26} +(-10.0867 - 10.0867i) q^{27} +(-0.822468 + 5.22719i) q^{28} -3.80356 q^{29} +(9.90858 + 2.45200i) q^{30} +(4.91145 + 2.83563i) q^{31} +(-1.93637 - 5.31512i) q^{32} +(7.72504 + 2.06992i) q^{33} +(7.37248 + 5.16160i) q^{34} +(-2.23041 - 5.47953i) q^{35} +(-5.07674 - 13.9430i) q^{36} +(-3.91379 - 1.04870i) q^{37} +(-0.903206 - 0.328678i) q^{38} +(1.91190 - 3.31151i) q^{39} +(4.92257 + 3.97093i) q^{40} +0.957683 q^{41} +(-6.74416 + 10.0193i) q^{42} +(-4.19558 + 4.19558i) q^{43} +(3.79636 + 3.18474i) q^{44} +(12.9105 + 10.4185i) q^{45} +(3.32099 - 1.54885i) q^{46} +(-0.868770 - 0.232786i) q^{47} +(1.12220 - 12.8627i) q^{48} +(6.99529 - 0.256804i) q^{49} +(-7.00561 - 0.959908i) q^{50} +(10.2708 + 17.7895i) q^{51} +(1.94060 - 1.35917i) q^{52} +(2.66036 - 0.712842i) q^{53} +(1.75701 - 20.0967i) q^{54} +(-5.47344 - 0.857389i) q^{55} +(-6.41030 + 3.86109i) q^{56} +(-1.55124 - 1.55124i) q^{57} +(-3.45783 - 4.12038i) q^{58} +(8.10063 + 4.67690i) q^{59} +(6.35170 + 12.9630i) q^{60} +(-1.10707 + 0.639170i) q^{61} +(1.39320 + 7.89844i) q^{62} +(-16.8167 + 10.1249i) q^{63} +(3.99748 - 6.92966i) q^{64} +(-1.07329 + 2.42170i) q^{65} +(4.78054 + 10.2503i) q^{66} +(-6.43707 + 1.72481i) q^{67} +(1.11082 + 12.6790i) q^{68} +8.36385 q^{69} +(3.90828 - 7.39766i) q^{70} -0.973953i q^{71} +(10.4891 - 18.1752i) q^{72} +(-0.439806 - 1.64138i) q^{73} +(-2.42200 - 5.19317i) q^{74} +(-13.5654 - 8.74417i) q^{75} +(-0.465053 - 1.27724i) q^{76} +(3.17291 - 5.73618i) q^{77} +(5.32546 - 0.939355i) q^{78} +(-7.01405 - 12.1487i) q^{79} +(0.173441 + 8.94259i) q^{80} +(11.8936 - 20.6003i) q^{81} +(0.870634 + 1.03745i) q^{82} +(10.2393 - 10.2393i) q^{83} +(-16.9850 + 1.80263i) q^{84} +(-8.38363 - 11.4980i) q^{85} +(-8.35927 - 0.730832i) q^{86} +(-3.17763 - 11.8591i) q^{87} +(0.00127357 + 7.00784i) q^{88} +(-3.10863 + 1.79477i) q^{89} +(0.450689 + 23.4573i) q^{90} +(-2.25650 - 2.17518i) q^{91} +(4.69698 + 2.18955i) q^{92} +(-4.73798 + 17.6824i) q^{93} +(-0.537627 - 1.15276i) q^{94} +(1.18266 + 0.954381i) q^{95} +(14.9543 - 10.4778i) q^{96} +(-1.33941 - 1.33941i) q^{97} +(6.63764 + 7.34450i) q^{98} +18.3822i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

L-functions

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