LMFDB - Embedded newform 280.2.br.a.107.36

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			107.36
Character	$\chi$	$=$	280.107
Dual form			280.2.br.a.123.36

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.08330 + 0.909105i) q^{2} +(-3.11790 - 0.835437i) q^{3} +(0.347058 + 1.96966i) q^{4} +(1.40425 - 1.74014i) q^{5} +(-2.61810 - 3.73952i) q^{6} +(-0.0485395 + 2.64531i) q^{7} +(-1.41466 + 2.44923i) q^{8} +(6.42524 + 3.70961i) q^{9} +O(q^{10})$	\(q+(1.08330 + 0.909105i) q^{2} +(-3.11790 - 0.835437i) q^{3} +(0.347058 + 1.96966i) q^{4} +(1.40425 - 1.74014i) q^{5} +(-2.61810 - 3.73952i) q^{6} +(-0.0485395 + 2.64531i) q^{7} +(-1.41466 + 2.44923i) q^{8} +(6.42524 + 3.70961i) q^{9} +(3.10319 - 0.608470i) q^{10} +(1.23882 + 2.14570i) q^{11} +(0.563436 - 6.43113i) 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} +(-1.64707 + 6.14695i) q^{17} +(3.58800 + 9.85982i) q^{18} +(0.588582 + 0.339818i) q^{19} +(3.91483 + 2.16197i) q^{20} +(2.36133 - 8.20723i) q^{21} +(-0.608659 + 3.45065i) q^{22} +(2.50284 - 0.670633i) q^{23} +(6.45694 - 6.45459i) q^{24} +(-1.05615 - 4.88718i) q^{25} +(0.145911 + 1.66893i) q^{26} +(-10.0867 - 10.0867i) q^{27} +(-5.22719 + 0.822468i) q^{28} +3.80356 q^{29} +(-10.1837 - 0.695373i) q^{30} +(4.91145 - 2.83563i) q^{31} +(-5.31512 - 1.93637i) q^{32} +(-2.06992 - 7.72504i) q^{33} +(-7.37248 + 5.16160i) q^{34} +(4.53503 + 3.79914i) q^{35} +(-5.07674 + 13.9430i) q^{36} +(-1.04870 - 3.91379i) q^{37} +(0.328678 + 0.903206i) q^{38} +(-1.91190 - 3.31151i) q^{39} +(2.27546 + 5.90104i) q^{40} +0.957683 q^{41} +(10.0193 - 6.74416i) q^{42} +(-4.19558 + 4.19558i) q^{43} +(-3.79636 + 3.18474i) q^{44} +(15.4779 - 5.97156i) q^{45} +(3.32099 + 1.54885i) q^{46} +(-0.232786 - 0.868770i) q^{47} +(12.8627 - 1.12220i) q^{48} +(-6.99529 - 0.256804i) q^{49} +(3.29884 - 6.25441i) q^{50} +(10.2708 - 17.7895i) q^{51} +(-1.35917 + 1.94060i) q^{52} +(0.712842 - 2.66036i) 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} +(4.12038 + 3.45783i) q^{58} +(-8.10063 + 4.67690i) q^{59} +(-10.3998 - 10.0114i) q^{60} +(-1.10707 - 0.639170i) q^{61} +(7.89844 + 1.39320i) q^{62} +(-10.1249 + 16.8167i) q^{63} +(-3.99748 - 6.92966i) q^{64} +(2.63390 - 0.281354i) q^{65} +(4.78054 - 10.2503i) q^{66} +(1.72481 - 6.43707i) q^{67} +(-12.6790 - 1.11082i) q^{68} -8.36385 q^{69} +(1.45896 + 8.23841i) q^{70} +0.973953i q^{71} +(-18.1752 + 10.4891i) q^{72} +(1.64138 + 0.439806i) q^{73} +(2.42200 - 5.19317i) q^{74} +(-0.789968 + 16.1201i) q^{75} +(-0.465053 + 1.27724i) q^{76} +(-5.73618 + 3.17291i) q^{77} +(0.939355 - 5.32546i) q^{78} +(7.01405 - 12.1487i) q^{79} +(-2.89967 + 8.46120i) q^{80} +(11.8936 + 20.6003i) q^{81} +(1.03745 + 0.870634i) 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} +(-11.8591 - 3.17763i) q^{87} +(-7.00784 - 0.00127357i) q^{88} +(3.10863 + 1.79477i) q^{89} +(22.1959 + 7.60206i) q^{90} +(-2.25650 + 2.17518i) q^{91} +(2.18955 + 4.69698i) q^{92} +(-17.6824 + 4.73798i) q^{93} +(0.537627 - 1.15276i) q^{94} +(1.41785 - 0.547023i) q^{95} +(14.9543 + 10.4778i) q^{96} +(-1.33941 - 1.33941i) q^{97} +(-7.34450 - 6.63764i) 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 $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

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

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 $

$2$	1.08330	+	0.909105i	0.766006	+	0.642834i
$2$	1.08330	+	0.909105i	0.766006	+	0.642834i
$3$	−3.11790	−	0.835437i	−1.80012	−	0.482340i	−0.806121	−	0.591751i	$-0.798437\pi$
$3$	−3.11790	−	0.835437i	−1.80012	−	0.482340i	−0.993997	+	0.109411i	$0.965104\pi$
$4$	0.347058	+	1.96966i	0.173529	+	0.984829i
$5$	1.40425	−	1.74014i	0.628001	−	0.778213i
$5$	1.40425	−	1.74014i	0.628001	−	0.778213i
$6$	−2.61810	−	3.73952i	−1.06884	−	1.52665i
$7$	−0.0485395	+	2.64531i	−0.0183462	+	0.999832i
$7$	−0.0485395	+	2.64531i	−0.0183462	+	0.999832i
$8$	−1.41466	+	2.44923i	−0.500157	+	0.865935i
$9$	6.42524	+	3.70961i	2.14175	+	1.23654i
$10$	3.10319	−	0.608470i	0.981314	−	0.192415i
$11$	1.23882	+	2.14570i	0.373519	+	0.646954i	0.990104	−	0.140334i	$-0.0448177\pi$
$11$	1.23882	+	2.14570i	0.373519	+	0.646954i	−0.616585	+	0.787288i	$0.711484\pi$
$12$	0.563436	−	6.43113i	0.162650	−	1.85651i
$13$	0.837650	+	0.837650i	0.232322	+	0.232322i	0.813661	−	0.581339i	$-0.197471\pi$
$13$	0.837650	+	0.837650i	0.232322	+	0.232322i	−0.581339	+	0.813661i	$0.697471\pi$
$14$	−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
$17$	−1.64707	+	6.14695i	−0.399473	+	1.49085i	0.414553	+	0.910025i	$0.363938\pi$
$17$	−1.64707	+	6.14695i	−0.399473	+	1.49085i	−0.814026	+	0.580828i	$0.802729\pi$
$18$	3.58800	+	9.85982i	0.845701	+	2.32398i
$19$	0.588582	+	0.339818i	0.135030	+	0.0779596i	0.565993	−	0.824410i	$-0.308493\pi$
$19$	0.588582	+	0.339818i	0.135030	+	0.0779596i	−0.430963	+	0.902369i	$0.641826\pi$
$20$	3.91483	+	2.16197i	0.875383	+	0.483431i
$21$	2.36133	−	8.20723i	0.515284	−	1.79097i
$22$	−0.608659	+	3.45065i	−0.129766	+	0.735681i
$23$	2.50284	−	0.670633i	0.521877	−	0.139837i	0.0117425	−	0.999931i	$-0.496262\pi$
$23$	2.50284	−	0.670633i	0.521877	−	0.139837i	0.510135	+	0.860094i	$0.329596\pi$
$24$	6.45694	−	6.45459i	1.31802	−	1.31754i
$25$	−1.05615	−	4.88718i	−0.211230	−	0.977436i
$26$	0.145911	+	1.66893i	0.0286155	+	0.327305i
$27$	−10.0867	−	10.0867i	−1.94119	−	1.94119i
$28$	−5.22719	+	0.822468i	−0.987847	+	0.155432i
$29$	3.80356			0.706303			0.353152	−	0.935566i	$-0.385110\pi$
$29$	3.80356			0.706303			0.353152	+	0.935566i	$0.385110\pi$
$30$	−10.1837	−	0.695373i	−1.85929	−	0.126957i
$31$	4.91145	−	2.83563i	0.882123	−	0.509294i	0.0107651	−	0.999942i	$-0.496573\pi$
$31$	4.91145	−	2.83563i	0.882123	−	0.509294i	0.871358	+	0.490648i	$0.163240\pi$
$32$	−5.31512	−	1.93637i	−0.939589	−	0.342305i
$33$	−2.06992	−	7.72504i	−0.360327	−	1.34476i
$34$	−7.37248	+	5.16160i	−1.26437	+	0.885207i
$35$	4.53503	+	3.79914i	0.766560	+	0.642172i
$36$	−5.07674	+	13.9430i	−0.846123	+	2.32383i
$37$	−1.04870	−	3.91379i	−0.172405	−	0.643423i	−0.996979	−	0.0776697i	$-0.975252\pi$
$37$	−1.04870	−	3.91379i	−0.172405	−	0.643423i	0.824574	−	0.565753i	$-0.191415\pi$
$38$	0.328678	+	0.903206i	0.0533186	+	0.146519i
$39$	−1.91190	−	3.31151i	−0.306149	−	0.530266i
$40$	2.27546	+	5.90104i	0.359782	+	0.933036i
$41$	0.957683			0.149565			0.0747825	−	0.997200i	$-0.476174\pi$
$41$	0.957683			0.149565			0.0747825	+	0.997200i	$0.476174\pi$
$42$	10.0193	−	6.74416i	1.54600	−	1.04065i
$43$	−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
$45$	15.4779	−	5.97156i	2.30731	−	0.890187i
$46$	3.32099	+	1.54885i	0.489653	+	0.228365i
$47$	−0.232786	−	0.868770i	−0.0339554	−	0.126723i	0.946868	−	0.321623i	$-0.104228\pi$
$47$	−0.232786	−	0.868770i	−0.0339554	−	0.126723i	−0.980823	+	0.194900i	$0.937562\pi$
$48$	12.8627	−	1.12220i	1.85657	−	0.161975i
$49$	−6.99529	−	0.256804i	−0.999327	−	0.0366863i
$50$	3.29884	−	6.25441i	0.466526	−	0.884508i
$51$	10.2708	−	17.7895i	1.43820	−	2.49103i
$52$	−1.35917	+	1.94060i	−0.188483	+	0.269112i
$53$	0.712842	−	2.66036i	0.0979164	−	0.365429i	−0.899529	−	0.436861i	$-0.856090\pi$
$53$	0.712842	−	2.66036i	0.0979164	−	0.365429i	0.997445	+	0.0714319i	$0.0227569\pi$
$54$	−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
$58$	4.12038	+	3.45783i	0.541032	+	0.454036i
$59$	−8.10063	+	4.67690i	−1.05461	+	0.608881i	−0.923937	−	0.382544i	$-0.875048\pi$
$59$	−8.10063	+	4.67690i	−1.05461	+	0.608881i	−0.130675	+	0.991425i	$0.541715\pi$
$60$	−10.3998	−	10.0114i	−1.34261	−	1.29246i
$61$	−1.10707	−	0.639170i	−0.141746	−	0.0818373i	0.427450	−	0.904039i	$-0.359412\pi$
$61$	−1.10707	−	0.639170i	−0.141746	−	0.0818373i	−0.569196	+	0.822202i	$0.692745\pi$
$62$	7.89844	+	1.39320i	1.00310	+	0.176937i
$63$	−10.1249	+	16.8167i	−1.27562	+	2.11870i
$64$	−3.99748	−	6.92966i	−0.499685	−	0.866207i
$65$	2.63390	−	0.281354i	0.326695	−	0.0348976i
$66$	4.78054	−	10.2503i	0.588443	−	1.26172i
$67$	1.72481	−	6.43707i	0.210719	−	0.786413i	−0.776911	−	0.629610i	$-0.783215\pi$
$67$	1.72481	−	6.43707i	0.210719	−	0.786413i	0.987630	−	0.156803i	$-0.0501188\pi$
$68$	−12.6790	−	1.11082i	−1.53756	−	0.134706i
$69$	−8.36385			−1.00689
$70$	1.45896	+	8.23841i	0.174379	+	0.984679i
$71$			0.973953i			0.115587i	0.998329	+	0.0577935i	$0.0184065\pi$
$71$			0.973953i			0.115587i	−0.998329	+	0.0577935i	$0.981593\pi$
$72$	−18.1752	+	10.4891i	−2.14197	+	1.23615i
$73$	1.64138	+	0.439806i	0.192109	+	0.0514754i	0.353591	−	0.935400i	$-0.384961\pi$
$73$	1.64138	+	0.439806i	0.192109	+	0.0514754i	−0.161482	+	0.986876i	$0.551627\pi$
$74$	2.42200	−	5.19317i	0.281551	−	0.603693i
$75$	−0.789968	+	16.1201i	−0.0912176	+	1.86139i
$76$	−0.465053	+	1.27724i	−0.0533453	+	0.146510i
$77$	−5.73618	+	3.17291i	−0.653698	+	0.361587i
$78$	0.939355	−	5.32546i	0.106361	−	0.602990i
$79$	7.01405	−	12.1487i	0.789142	−	1.36683i	−0.137351	−	0.990522i	$-0.543859\pi$
$79$	7.01405	−	12.1487i	0.789142	−	1.36683i	0.926493	−	0.376312i	$-0.122808\pi$
$80$	−2.89967	+	8.46120i	−0.324192	+	0.945991i
$81$	11.8936	+	20.6003i	1.32151	+	2.28893i
$82$	1.03745	+	0.870634i	0.114568	+	0.0961455i
$83$	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
$87$	−11.8591	−	3.17763i	−1.27143	−	0.340678i
$88$	−7.00784	−	0.00127357i	−0.747038	−	0.000135763i
$89$	3.10863	+	1.79477i	0.329514	+	0.190245i	0.655625	−	0.755086i	$-0.272405\pi$
$89$	3.10863	+	1.79477i	0.329514	+	0.190245i	−0.326111	+	0.945331i	$0.605738\pi$
$90$	22.1959	+	7.60206i	2.33965	+	0.801327i
$91$	−2.25650	+	2.17518i	−0.236546	+	0.228021i
$92$	2.18955	+	4.69698i	0.228276	+	0.489694i
$93$	−17.6824	+	4.73798i	−1.83358	+	0.491306i
$94$	0.537627	−	1.15276i	0.0554520	−	0.118898i
$95$	1.41785	−	0.547023i	0.145468	−	0.0561234i
$96$	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	$0.780657\pi$
$98$	−7.34450	−	6.63764i	−0.741907	−	0.670503i
$99$			18.3822i			1.84748i
$100$	9.25953	−	3.77639i	0.925953	−	0.377639i
$101$	−13.6226	+	7.86501i	−1.35550	+	0.782598i	−0.989013	−	0.147826i	$-0.952773\pi$
$101$	−13.6226	+	7.86501i	−1.35550	+	0.782598i	−0.366486	+	0.930424i	$0.619439\pi$
$102$	27.2988	−	9.93408i	2.70299	−	0.983621i
$103$	11.7053	−	3.13644i	1.15336	−	0.309042i	0.369050	−	0.929409i	$-0.379683\pi$
$103$	11.7053	−	3.13644i	1.15336	−	0.309042i	0.784312	+	0.620367i	$0.213016\pi$
$104$	−3.23659	+	0.866611i	−0.317374	+	0.0849782i
$105$	−10.9658	−	15.6341i	−1.07015	−	1.52573i
$106$	3.19077	−	2.23391i	0.309915	−	0.216977i
$107$	−6.86020	+	1.83818i	−0.663201	+	0.177704i	−0.574690	−	0.818371i	$-0.694877\pi$
$107$	−6.86020	+	1.83818i	−0.663201	+	0.177704i	−0.0885105	+	0.996075i	$0.528211\pi$
$108$	16.3667	−	23.3680i	1.57488	−	2.24859i
$109$	9.19843	+	15.9322i	0.881050	+	1.52602i	0.850175	+	0.526500i	$0.176496\pi$
$109$	9.19843	+	15.9322i	0.881050	+	1.52602i	0.0308749	+	0.999523i	$0.490171\pi$
$110$	5.14990	+	5.90473i	0.491023	+	0.562994i
$111$			13.0789i			1.24140i
$112$	−3.43412	−	10.0103i	−0.324494	−	0.945888i
$113$	−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
$115$	2.34762	−	5.29701i	0.218917	−	0.493949i
$116$	1.32005	+	7.49171i	0.122564	+	0.695588i
$117$	2.27474	+	8.48946i	0.210300	+	0.784851i
$118$	−13.0272	−	2.29786i	−1.19925	−	0.211535i
$119$	−16.1806	−	4.65537i	−1.48327	−	0.426757i
$120$	−2.16470	−	20.2998i	−0.197609	−	1.85311i
$121$	2.43063	−	4.20998i	0.220967	−	0.382726i
$122$	−0.618217	−	1.69886i	−0.0559707	−	0.153807i
$123$	−2.98596	−	0.800084i	−0.269235	−	0.0721412i
$124$	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	−0.408987	−	0.912540i	$-0.634118\pi$
$127$	5.67476	−	5.67476i	0.503554	−	0.503554i	0.912540	+	0.408987i	$0.134118\pi$
$128$	1.96933	−	11.1410i	0.174066	−	0.984734i
$129$	16.5865	−	9.57623i	1.46036	−	0.843140i
$130$	3.10907	+	2.08970i	0.272683	+	0.183279i
$131$	−2.36463	+	4.09566i	−0.206599	+	0.357839i	−0.950641	−	0.310293i	$-0.899573\pi$
$131$	−2.36463	+	4.09566i	−0.206599	+	0.357839i	0.744042	+	0.668133i	$0.232906\pi$
$132$	14.4973	−	6.75807i	1.26183	−	0.588214i
$133$	−0.927492	+	1.54049i	−0.0804238	+	0.133577i
$134$	7.72045	−	5.40522i	0.666945	−	0.466940i
$135$	−31.7165	+	3.38796i	−2.72972	+	0.291589i
$136$	−12.7253	−	12.7299i	−1.09118	−	1.09158i
$137$	0.135690	−	0.506402i	0.0115928	−	0.0432648i	−0.959887	−	0.280387i	$-0.909537\pi$
$137$	0.135690	−	0.506402i	0.0115928	−	0.0432648i	0.971480	+	0.237122i	$0.0762040\pi$
$138$	−9.06052	−	7.60361i	−0.771283	−	0.647263i
$139$		−	11.7750i		−	0.998744i	−0.866388	−	0.499372i	$-0.833564\pi$
$139$		−	11.7750i		−	0.998744i	0.866388	−	0.499372i	$-0.166436\pi$
$140$	−5.90909	+	10.2510i	−0.499409	+	0.866366i
$141$			2.90321i			0.244495i
$142$	−0.885426	+	1.05508i	−0.0743033	+	0.0885403i
$143$	−0.759649	+	2.83505i	−0.0635251	+	0.237079i
$144$	−29.2248	−	5.16042i	−2.43540	−	0.430035i
$145$	5.34116	−	6.61871i	0.443559	−	0.549654i
$146$	1.37827	+	1.96862i	0.114066	+	0.162924i
$147$	21.5960	+	6.64481i	1.78121	+	0.548055i
$148$	7.34487	−	3.42389i	0.603744	−	0.281442i
$149$	2.98171	−	5.16447i	0.244271	−	0.423090i	−0.717655	−	0.696398i	$-0.754785\pi$
$149$	2.98171	−	5.16447i	0.244271	−	0.423090i	0.961926	+	0.273309i	$0.0881180\pi$
$150$	−15.5106	+	16.7446i	−1.26643	+	1.36719i
$151$	9.64976	−	5.57129i	0.785286	−	0.453385i	−0.0530143	−	0.998594i	$-0.516883\pi$
$151$	9.64976	−	5.57129i	0.785286	−	0.453385i	0.838300	+	0.545209i	$0.183550\pi$
$152$	−1.66494	+	0.960848i	−0.135044	+	0.0779351i
$153$	−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
$157$	−2.84809	−	0.763144i	−0.227302	−	0.0609055i	0.143370	−	0.989669i	$-0.454206\pi$
$157$	−2.84809	−	0.763144i	−0.227302	−	0.0609055i	−0.370672	+	0.928764i	$0.620873\pi$
$158$	18.6427	−	6.78412i	1.48313	−	0.539715i
$159$	−4.44513	+	7.69920i	−0.352522	+	0.610586i
$160$	−10.8333	+	6.52988i	−0.856448	+	0.516232i
$161$	1.65254	+	6.65332i	0.130239	+	0.524355i
$162$	−5.84357	+	33.1288i	−0.459114	+	2.60284i
$163$	3.26273	+	12.1767i	0.255557	+	0.953750i	0.967780	+	0.251797i	$0.0810217\pi$
$163$	3.26273	+	12.1767i	0.255557	+	0.953750i	−0.712223	+	0.701953i	$0.752312\pi$
$164$	0.332371	+	1.88631i	0.0259538	+	0.147296i
$165$	−16.3493	−	7.24597i	−1.27279	−	0.564098i
$166$	20.4009	−	1.78360i	1.58341	−	0.138434i
$167$	5.02961	−	5.02961i	0.389203	−	0.389203i	−0.485200	−	0.874403i	$-0.661253\pi$
$167$	5.02961	−	5.02961i	0.389203	−	0.389203i	0.874403	+	0.485200i	$0.161253\pi$
$168$	16.7610	+	17.3939i	1.29314	+	1.34197i
$169$		−	11.5967i		−	0.892053i
$170$	−1.37093	+	20.0773i	−0.105146	+	1.53986i
$171$	2.52119	+	4.36682i	0.192800	+	0.333939i
$172$	−9.71997	−	6.80775i	−0.741140	−	0.519086i
$173$	12.3872	−	3.31913i	0.941780	−	0.252349i	0.244909	−	0.969546i	$-0.421242\pi$
$173$	12.3872	−	3.31913i	0.941780	−	0.252349i	0.696871	+	0.717197i	$0.254575\pi$
$174$	−9.95810	−	14.2235i	−0.754922	−	1.07828i
$175$	12.9794	−	2.55662i	0.981147	−	0.193262i
$176$	−7.59040	−	6.37224i	−0.572148	−	0.480326i
$177$	29.1642	−	7.81452i	2.19211	−	0.587375i
$178$	1.73593	+	4.77033i	0.130114	+	0.357552i
$179$	−10.1656	+	5.86914i	−0.759816	+	0.438680i	−0.829230	−	0.558908i	$-0.811220\pi$
$179$	−10.1656	+	5.86914i	−0.759816	+	0.438680i	0.0694139	+	0.997588i	$0.477887\pi$
$180$	17.1336	+	28.4137i	1.27707	+	2.11783i
$181$		−	23.5539i		−	1.75074i	−0.483449	−	0.875372i	$-0.660616\pi$
$181$		−	23.5539i		−	1.75074i	0.483449	−	0.875372i	$-0.339384\pi$
$182$	−4.42192	+	0.304970i	−0.327775	+	0.0226059i
$183$	2.91776	+	2.91776i	0.215687	+	0.215687i
$184$	−1.89812	+	7.07874i	−0.139931	+	0.521852i
$185$	−8.28316	−	3.67107i	−0.608990	−	0.269903i
$186$	−23.4626	−	10.9425i	−1.72036	−	0.802343i
$187$	−15.2300	+	4.08086i	−1.11372	+	0.298422i
$188$	1.63039	−	0.760023i	0.118908	−	0.0554304i
$189$	27.1720	−	26.1928i	1.97647	−	1.90525i
$190$	2.03325	+	0.696384i	0.147507	+	0.0505210i
$191$	−0.802829	−	0.463513i	−0.0580906	−	0.0335386i	0.470673	−	0.882308i	$-0.344011\pi$
$191$	−0.802829	−	0.463513i	−0.0580906	−	0.0335386i	−0.528764	+	0.848769i	$0.677344\pi$
$192$	6.67443	+	24.9456i	0.481686	+	1.80029i
$193$	17.0247	+	4.56175i	1.22546	+	0.328362i	0.812811	−	0.582527i	$-0.197936\pi$
$193$	17.0247	+	4.56175i	1.22546	+	0.328362i	0.412652	+	0.910889i	$0.364603\pi$
$194$	−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	−0.00677298	−	0.999977i	$-0.502156\pi$
$197$	13.9403	−	13.9403i	0.993204	−	0.993204i	0.999977	+	0.00677298i	$0.00215592\pi$
$198$	−16.7114	+	19.9134i	−1.18762	+	1.41518i
$199$	11.7819	+	20.4068i	0.835197	+	1.44660i	0.893870	+	0.448326i	$0.147980\pi$
$199$	11.7819	+	20.4068i	0.835197	+	1.44660i	−0.0586737	+	0.998277i	$0.518687\pi$
$200$	13.4639	+	4.32694i	0.952044	+	0.305961i
$201$	−10.7555	+	18.6291i	−0.758637	+	1.31400i
$202$	−21.9074	−	3.86424i	−1.54140	−	0.271887i
$203$	−0.184623	+	10.0616i	−0.0129580	+	0.706184i
$204$	38.6038	+	14.0559i	2.70281	+	0.984112i
$205$	1.34483	−	1.66650i	0.0939269	−	0.116393i
$206$	15.5317	+	7.24369i	1.08214	+	0.504692i
$207$	18.5691	+	4.97558i	1.29064	+	0.345826i
$208$	−4.29402	−	2.00360i	−0.297737	−	0.138925i
$209$			1.68390i			0.116478i
$210$	2.33379	−	26.9054i	0.161047	−	1.85665i
$211$	15.8848			1.09356			0.546778	−	0.837277i	$-0.315854\pi$
$211$	15.8848			1.09356			0.546778	+	0.837277i	$0.315854\pi$
$212$	5.48740	+	0.480755i	0.376876	+	0.0330184i
$213$	0.813677	−	3.03668i	0.0557522	−	0.208070i
$214$	−9.10273	−	4.24534i	−0.622249	−	0.290206i
$215$	1.40923	+	13.1925i	0.0961087	+	0.899724i
$216$	38.9739	−	10.4354i	2.65184	−	0.710041i
$217$	7.26271	+	13.1299i	0.493025	+	0.891318i
$218$	−4.51937	+	25.6216i	−0.306091	+	1.73531i
$219$	−4.75021	−	2.74254i	−0.320990	−	0.185323i
$220$	0.210836	+	11.0784i	0.0142146	+	0.746903i
$221$	−6.52866	+	3.76932i	−0.439165	+	0.253552i
$222$	−11.8901	+	14.1683i	−0.798011	+	0.950915i
$223$	−10.5242	−	10.5242i	−0.704754	−	0.704754i	0.260673	−	0.965427i	$-0.416055\pi$
$223$	−10.5242	−	10.5242i	−0.704754	−	0.704754i	−0.965427	+	0.260673i	$0.916055\pi$
$224$	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
$227$	−1.05614	+	3.94156i	−0.0700984	+	0.261611i	−0.992077	−	0.125630i	$-0.959905\pi$
$227$	−1.05614	+	3.94156i	−0.0700984	+	0.261611i	0.921979	+	0.387240i	$0.126572\pi$
$228$	2.51704	−	3.59378i	0.166695	−	0.238004i
$229$	−7.79525	+	13.5018i	−0.515124	+	0.892222i	0.484722	+	0.874669i	$0.338921\pi$
$229$	−7.79525	+	13.5018i	−0.515124	+	0.892222i	−0.999846	+	0.0175530i	$0.994412\pi$
$230$	7.35870	−	3.60400i	0.485219	−	0.237641i
$231$	20.5356	−	5.10060i	1.35114	−	0.335595i
$232$	−5.38074	+	9.31580i	−0.353263	+	0.611612i
$233$	−2.07293	−	7.73629i	−0.135802	−	0.506821i	−0.999993	−	0.00365716i	$-0.998836\pi$
$233$	−2.07293	−	7.73629i	−0.135802	−	0.506821i	0.864191	−	0.503164i	$-0.167831\pi$
$234$	−5.25359	+	11.2646i	−0.343438	+	0.736388i
$235$	−1.83867	−	0.814893i	−0.119942	−	0.0531577i
$236$	−12.0233	−	14.3323i	−0.782649	−	0.932954i
$237$	−32.0185	+	32.0185i	−2.07983	+	2.07983i
$238$	−13.2962	−	19.7530i	−0.861862	−	1.28040i
$239$	−20.1233			−1.30166			−0.650832	−	0.759221i	$-0.725580\pi$
$239$	−20.1233			−1.30166			−0.650832	+	0.759221i	$0.725580\pi$
$240$	16.1097	−	23.9587i	1.03987	−	1.54652i
$241$	−13.0242	−	22.5586i	−0.838962	−	1.45313i	−0.890763	−	0.454468i	$-0.849829\pi$
$241$	−13.0242	−	22.5586i	−0.838962	−	1.45313i	0.0518006	−	0.998657i	$-0.483504\pi$
$242$	6.46041	−	2.35095i	0.415291	−	0.151125i
$243$	−8.79678	−	32.8300i	−0.564314	−	2.10605i
$244$	0.874727	−	2.40239i	0.0559987	−	0.153797i
$245$	−10.2700	+	11.8121i	−0.656128	+	0.754650i
$246$	−2.50731	−	3.58127i	−0.159860	−	0.228334i
$247$	0.208377	+	0.777675i	0.0132587	+	0.0494823i
$248$	−0.00291517	+	16.0407i	−0.000185114	+	1.01859i
$249$	−40.4795	+	23.3709i	−2.56529	+	1.48107i
$250$	−6.25113	−	14.5232i	−0.395356	−	0.918528i
$251$	6.32744			0.399385			0.199692	−	0.979859i	$-0.436006\pi$
$251$	6.32744			0.399385			0.199692	+	0.979859i	$0.436006\pi$
$252$	−36.6370	−	14.1063i	−2.30791	−	0.888614i
$253$	4.53955	+	4.53955i	0.285399	+	0.285399i
$254$	11.3064	−	0.988492i	0.709427	−	0.0620235i
$255$	−16.5334	−	42.8535i	−1.03536	−	2.68359i
$256$	12.2617	−	10.2787i	0.766356	−	0.642416i
$257$	4.90245	−	1.31361i	0.305807	−	0.0819406i	−0.102652	−	0.994717i	$-0.532733\pi$
$257$	4.90245	−	1.31361i	0.305807	−	0.0819406i	0.408459	+	0.912777i	$0.366066\pi$
$258$	26.6739	+	4.70500i	1.66064	+	0.292920i
$259$	10.4041	−	2.58415i	0.646478	−	0.160571i
$260$	1.46828	+	5.09023i	0.0910592	+	0.315683i
$261$	24.4388	+	14.1097i	1.51272	+	0.873370i
$262$	−6.28497	+	2.28711i	−0.388287	+	0.141298i
$263$	3.12146	−	11.6494i	0.192477	−	0.718335i	−0.800428	−	0.599429i	$-0.795395\pi$
$263$	3.12146	−	11.6494i	0.192477	−	0.718335i	0.992905	−	0.118906i	$-0.0379388\pi$
$264$	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
$268$	13.2774	+	1.16325i	0.811048	+	0.0710565i
$269$	5.01963	+	8.69425i	0.306052	+	0.530098i	0.977495	−	0.210958i	$-0.0676585\pi$
$269$	5.01963	+	8.69425i	0.306052	+	0.530098i	−0.671443	+	0.741056i	$0.734325\pi$
$270$	−37.4383	−	25.1634i	−2.27842	−	1.53140i
$271$	−12.6819	−	7.32189i	−0.770370	−	0.444773i	0.0626365	−	0.998036i	$-0.480049\pi$
$271$	−12.6819	−	7.32189i	−0.770370	−	0.444773i	−0.833007	+	0.553263i	$0.813382\pi$
$272$	−2.21242	−	25.3588i	−0.134148	−	1.53760i
$273$	8.85276	−	4.89682i	0.535793	−	0.296369i
$274$	0.607364	−	0.425226i	0.0366922	−	0.0256889i
$275$	9.17806	−	8.32054i	0.553458	−	0.501748i
$276$	−2.90274	−	16.4739i	−0.174724	−	0.991613i
$277$	−9.74008	−	2.60985i	−0.585225	−	0.156810i	−0.0459549	−	0.998944i	$-0.514633\pi$
$277$	−9.74008	−	2.60985i	−0.585225	−	0.156810i	−0.539270	+	0.842133i	$0.681300\pi$
$278$	10.7047	−	12.7558i	0.642027	−	0.765043i
$279$	42.0763			2.51904
$280$	−15.7205	+	5.73286i	−0.939480	+	0.342604i
$281$	−26.8015			−1.59884			−0.799420	−	0.600772i	$-0.794860\pi$
$281$	−26.8015			−1.59884			−0.799420	+	0.600772i	$0.794860\pi$
$282$	−2.63932	+	3.14504i	−0.157169	+	0.187284i
$283$	−0.403110	−	0.108013i	−0.0239624	−	0.00642071i	0.246818	−	0.969062i	$-0.420615\pi$
$283$	−0.403110	−	0.108013i	−0.0239624	−	0.00642071i	−0.270780	+	0.962641i	$0.587282\pi$
$284$	−1.91835	+	0.338018i	−0.113833	+	0.0200577i
$285$	−4.87770	+	0.521037i	−0.288930	+	0.0308636i
$286$	−3.40028	+	2.38060i	−0.201063	+	0.140768i
$287$	−0.0464855	+	2.53336i	−0.00274395	+	0.149540i
$288$	−26.9677	−	32.1587i	−1.58909	−	1.89497i
$289$	−20.3497	−	11.7489i	−1.19704	−	0.691111i
$290$	11.8031	−	2.31435i	0.693105	−	0.135903i
$291$	3.05716	+	5.29515i	0.179214	+	0.310407i
$292$	−0.296614	+	3.38559i	−0.0173580	+	0.198127i
$293$	19.1952	+	19.1952i	1.12139	+	1.12139i	0.991532	+	0.129862i	$0.0414535\pi$
$293$	19.1952	+	19.1952i	1.12139	+	1.12139i	0.129862	+	0.991532i	$0.458547\pi$
$294$	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
$297$	9.14744	−	34.1387i	0.530788	−	1.98093i
$298$	7.92511	−	2.88396i	0.459090	−	0.167063i
$299$	2.65826	+	1.53475i	0.153731	+	0.0887566i
$300$	−32.0252	+	4.03863i	−1.84897	+	0.233170i
$301$	−10.8949	−	11.3022i	−0.627974	−	0.651451i
$302$	15.5184	+	2.73729i	0.892985	+	0.157513i
$303$	49.0446	−	13.1414i	2.81754	−	0.754957i
$304$	−2.67713	−	0.472719i	−0.153544	−	0.0271123i
$305$	−2.66686	+	1.02891i	−0.152704	+	0.0589150i
$306$	−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	$0.739140\pi$
$308$	−8.24034	−	10.1971i	−0.469537	−	0.581035i
$309$	−39.1163			−2.22525
$310$	13.5158	−	11.7880i	0.767643	−	0.669511i
$311$	−9.37338	+	5.41173i	−0.531516	+	0.306871i	−0.741634	−	0.670805i	$-0.765949\pi$
$311$	−9.37338	+	5.41173i	−0.531516	+	0.306871i	0.210118	+	0.977676i	$0.432615\pi$
$312$	10.8153	+	0.00196553i	0.612298	+	0.000111276i
$313$	2.14097	+	7.99023i	0.121015	+	0.451634i	0.999666	−	0.0258297i	$-0.00822277\pi$
$313$	2.14097	+	7.99023i	0.121015	+	0.451634i	−0.878651	+	0.477464i	$0.841556\pi$
$314$	−2.39155	−	3.41592i	−0.134963	−	0.192772i
$315$	15.0453	+	41.2336i	0.847707	+	2.32325i
$316$	26.3630	+	9.59898i	1.48304	+	0.539985i
$317$	1.64727	+	6.14770i	0.0925199	+	0.345289i	0.996632	−	0.0820068i	$-0.0261329\pi$
$317$	1.64727	+	6.14770i	0.0925199	+	0.345289i	−0.904112	+	0.427296i	$0.859466\pi$
$318$	−11.8148	+	4.29941i	−0.662539	+	0.241099i
$319$	4.71194	+	8.16131i	0.263818	+	0.456946i
$320$	−17.6720	−	2.77482i	−0.987896	−	0.155117i
$321$	22.9251			1.27955
$322$	−4.25837	+	8.70984i	−0.237310	+	0.485381i
$323$	−3.05828	+	3.05828i	−0.170167	+	0.170167i
$324$	−36.4479	+	30.5759i	−2.02488	+	1.69866i
$325$	3.20906	−	4.97843i	0.178007	−	0.276154i
$326$	−7.53537	+	16.1571i	−0.417345	+	0.894859i
$327$	−15.3694	−	57.3595i	−0.849931	−	3.17199i
$328$	−1.35479	+	2.34559i	−0.0748060	+	0.129513i
$329$	2.30946	−	0.573621i	0.127325	−	0.0316248i
$330$	−11.1238	−	22.7128i	−0.612345	−	1.25030i
$331$	6.11818	−	10.5970i	0.336285	−	0.582464i	−0.647445	−	0.762112i	$-0.724163\pi$
$331$	6.11818	−	10.5970i	0.336285	−	0.582464i	0.983731	+	0.179648i	$0.0574960\pi$
$332$	23.7216	+	16.6144i	1.30189	+	0.911831i
$333$	7.78052	−	29.0373i	0.426370	−	1.59123i
$334$	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	$0.831713\pi$
$338$	10.5426	−	12.5626i	0.573442	−	0.683317i
$339$	26.5593	−	15.3340i	1.44251	−	0.832831i
$340$	−19.7375	+	20.5033i	−1.07042	+	1.11195i
$341$	12.1688	+	7.02568i	0.658980	+	0.380462i
$342$	−1.23871	+	7.02258i	−0.0669817	+	0.379738i
$343$	1.01887	−	18.4922i	0.0550139	−	0.998486i
$344$	−4.34064	−	16.2113i	−0.234032	−	0.874053i
$345$	−11.7450	+	14.5542i	−0.632327	+	0.783574i
$346$	16.4364	+	7.66564i	0.883627	+	0.412107i
$347$	0.151819	−	0.566595i	0.00815005	−	0.0304164i	−0.961731	−	0.273995i	$-0.911655\pi$
$347$	0.151819	−	0.566595i	0.00815005	−	0.0304164i	0.969881	+	0.243579i	$0.0783214\pi$
$348$	2.14306	−	24.4612i	0.114880	−	1.31126i
$349$	−12.1672			−0.651293			−0.325647	−	0.945492i	$-0.605582\pi$
$349$	−12.1672			−0.651293			−0.325647	+	0.945492i	$0.605582\pi$
$350$	16.3847	+	9.03002i	0.875800	+	0.482675i
$351$		−	16.8982i		−	0.901961i
$352$	−2.42962	−	13.8035i	−0.129499	−	0.735729i
$353$	25.1345	+	6.73476i	1.33777	+	0.358455i	0.855607	−	0.517626i	$-0.173184\pi$
$353$	25.1345	+	6.73476i	1.33777	+	0.358455i	0.482165	+	0.876081i	$0.339851\pi$
$354$	38.6976	+	18.0479i	2.05676	+	0.959233i
$355$	1.69481	+	1.36768i	0.0899513	+	0.0725887i
$356$	−2.45620	+	6.74582i	−0.130179	+	0.357528i
$357$	46.5602	+	28.0328i	2.46423	+	1.48366i
$358$	−16.3480	−	2.88362i	−0.864021	−	0.152404i
$359$	−16.4719	+	28.5301i	−0.869352	+	1.50576i	−0.00669297	+	0.999978i	$0.502130\pi$
$359$	−16.4719	+	28.5301i	−0.869352	+	1.50576i	−0.862660	+	0.505785i	$0.831203\pi$
$360$	−7.27019	+	46.3567i	−0.383173	+	2.44321i
$361$	−9.26905	−	16.0545i	−0.487845	−	0.844972i
$362$	21.4129	−	25.5158i	1.12544	−	1.34108i
$363$	−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
$367$	23.6589	+	6.33938i	1.23498	+	0.330913i	0.816518	−	0.577320i	$-0.195902\pi$
$367$	23.6589	+	6.33938i	1.23498	+	0.330913i	0.418465	+	0.908233i	$0.362568\pi$
$368$	−8.49154	+	5.94278i	−0.442652	+	0.309789i
$369$	6.15334	+	3.55263i	0.320330	+	0.184943i
$370$	−5.63572	−	11.5071i	−0.292987	−	0.598227i
$371$	7.00287	+	2.01482i	0.363571	+	0.104604i
$372$	−15.4690	−	33.1839i	−0.802031	−	1.72050i
$373$	−25.6699	+	6.87822i	−1.32914	+	0.356141i	−0.852393	−	0.522902i	$-0.824849\pi$
$373$	−25.6699	+	6.87822i	−1.32914	+	0.356141i	−0.476743	+	0.879043i	$0.658183\pi$
$374$	−20.2085	−	9.42485i	−1.04496	−	0.487348i
$375$	26.9418	+	24.0113i	1.39127	+	1.23994i
$376$	2.45713	+	0.658866i	0.126717	+	0.0339784i
$377$	3.18605	+	3.18605i	0.164090	+	0.164090i
$378$	53.2473	−	3.67234i	2.73874	−	0.188885i
$379$			27.8207i			1.42905i	0.699608	+	0.714527i	$0.253358\pi$
$379$			27.8207i			1.42905i	−0.699608	+	0.714527i	$0.746642\pi$
$380$	1.56952	+	2.60283i	0.0805148	+	0.133522i
$381$	−22.4342	+	12.9524i	−1.14934	+	0.663572i
$382$	−0.448318	−	1.23198i	−0.0229380	−	0.0630334i
$383$	−16.7829	+	4.49695i	−0.857564	+	0.229784i	−0.660703	−	0.750648i	$-0.729742\pi$
$383$	−16.7829	+	4.49695i	−0.857564	+	0.229784i	−0.196861	+	0.980431i	$0.563075\pi$
$384$	−15.4478	+	33.0912i	−0.788315	+	1.68868i
$385$	−2.53374	+	14.4373i	−0.129131	+	0.735793i
$386$	14.2956	+	20.4189i	0.727629	+	1.03930i
$387$	−42.5216	+	11.3936i	−2.16149	+	0.579170i
$388$	2.17333	−	3.10304i	0.110334	−	0.157533i
$389$	−11.9011	−	20.6132i	−0.603408	−	1.04513i	−0.992301	−	0.123850i	$-0.960476\pi$
$389$	−11.9011	−	20.6132i	−0.603408	−	1.04513i	0.388893	−	0.921283i	$-0.372857\pi$
$390$	−7.94794	−	9.11290i	−0.402460	−	0.461450i
$391$			16.4894i			0.833904i
$392$	10.5249	−	16.7698i	0.531589	−	0.847003i
$393$	10.7943	−	10.7943i	0.544502	−	0.544502i
$394$	27.7746	−	2.42827i	1.39927	−	0.122334i
$395$	−11.2909	−	29.2652i	−0.568106	−	1.47249i
$396$	−36.2067	+	6.37969i	−1.81945	+	0.320591i
$397$	1.93211	+	7.21071i	0.0969696	+	0.361895i	0.997311	−	0.0732894i	$-0.0233497\pi$
$397$	1.93211	+	7.21071i	0.0969696	+	0.361895i	−0.900341	+	0.435185i	$0.856683\pi$
$398$	−5.78868	+	32.8176i	−0.290160	+	1.64500i
$399$	4.17880	−	4.02821i	0.209202	−	0.201663i
$400$	10.6518	+	16.9275i	0.532589	+	0.846374i
$401$	−6.05602	+	10.4893i	−0.302423	+	0.523813i	−0.976684	−	0.214681i	$-0.931129\pi$
$401$	−6.05602	+	10.4893i	−0.302423	+	0.523813i	0.674261	+	0.738493i	$0.264462\pi$
$402$	−28.5873	+	10.4030i	−1.42580	+	0.518852i
$403$	6.48934	+	1.73881i	0.323257	+	0.0866165i
$404$	−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
$408$	29.0410	+	50.3216i	1.43774	+	2.49129i
$409$	−4.03201	+	2.32788i	−0.199370	+	0.115106i	−0.596362	−	0.802716i	$-0.703388\pi$
$409$	−4.03201	+	2.32788i	−0.199370	+	0.115106i	0.396991	+	0.917822i	$0.370054\pi$
$410$	2.97187	−	0.582721i	0.146770	−	0.0287785i
$411$	−0.846134	+	1.46555i	−0.0417367	+	0.0722901i
$412$	10.2401	+	21.9670i	0.504495	+	1.08224i
$413$	−11.9786	−	21.6557i	−0.589430	−	1.06561i
$414$	15.5925	+	22.2713i	0.766330	+	1.09457i
$415$	−3.43924	−	32.1965i	−0.168825	−	1.58046i
$416$	−2.83021	−	6.07421i	−0.138762	−	0.297813i
$417$	−9.83729	+	36.7133i	−0.481734	+	1.79786i
$418$	−1.53084	+	1.82416i	−0.0748758	+	0.0892225i
$419$			29.5695i			1.44456i	0.691599	+	0.722282i	$0.256907\pi$
$419$			29.5695i			1.44456i	−0.691599	+	0.722282i	$0.743093\pi$
$420$	26.9880	−	27.0248i	1.31688	−	1.31868i
$421$		−	19.5111i		−	0.950915i	−0.879739	−	0.475457i	$-0.842283\pi$
$421$		−	19.5111i		−	0.950915i	0.879739	−	0.475457i	$-0.157717\pi$
$422$	17.2080	+	14.4410i	0.837670	+	0.702975i
$423$	1.72709	−	6.44560i	0.0839742	−	0.313396i
$424$	5.50742	+	5.50942i	0.267464	+	0.267561i
$425$	31.7808	+	1.55743i	1.54160	+	0.0755462i
$426$	3.64212	−	2.54991i	0.176461	−	0.123543i
$427$	1.74454	−	2.89753i	0.0844241	−	0.140221i
$428$	−6.00148	−	12.8743i	−0.290092	−	0.622302i
$429$	4.73701	−	8.20475i	0.228705	−	0.396129i
$430$	−10.4668	+	15.5726i	−0.504753	+	0.750975i
$431$	−25.4008	+	14.6652i	−1.22351	+	0.706396i	−0.965665	−	0.259790i	$-0.916347\pi$
$431$	−25.4008	+	14.6652i	−1.22351	+	0.706396i	−0.257848	+	0.966185i	$0.583013\pi$
$432$	51.7071	+	24.1267i	2.48776	+	1.16080i
$433$	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
$437$	1.70102	+	0.455786i	0.0813707	+	0.0218032i
$438$	−2.65263	−	7.28942i	−0.126748	−	0.348302i
$439$	2.91490	−	5.04875i	0.139121	−	0.240964i	−0.788043	−	0.615620i	$-0.788906\pi$
$439$	2.91490	−	5.04875i	0.139121	−	0.240964i	0.927164	+	0.374656i	$0.122239\pi$
$440$	−9.84299	+	12.1928i	−0.469246	+	0.581270i
$441$	−43.9937	−	27.5998i	−2.09494	−	1.31428i
$442$	−10.4992	−	1.85194i	−0.499395	−	0.0880880i
$443$	−5.09607	−	19.0188i	−0.242121	−	0.903610i	−0.974808	−	0.223044i	$-0.928401\pi$
$443$	−5.09607	−	19.0188i	−0.242121	−	0.903610i	0.732687	−	0.680566i	$-0.238266\pi$
$444$	−25.7610	+	4.53914i	−1.22256	+	0.215418i
$445$	7.48844	−	2.88913i	0.354986	−	0.136958i
$446$	−1.83322	−	20.9685i	−0.0868056	−	0.992885i
$447$	−13.6112	+	13.6112i	−0.643790	+	0.643790i
$448$	18.5251	−	10.2382i	0.875229	−	0.483709i
$449$			15.7430i			0.742959i	0.928441	+	0.371480i	$0.121149\pi$
$449$			15.7430i			0.742959i	−0.928441	+	0.371480i	$0.878851\pi$
$450$	44.3973	−	27.9487i	2.09291	−	1.31751i
$451$	1.18640	+	2.05491i	0.0558654	+	0.0967617i
$452$	−15.5642	−	10.9010i	−0.732078	−	0.512739i
$453$	−34.7414	+	9.30893i	−1.63229	+	0.437372i
$454$	−4.72740	+	3.30974i	−0.221868	+	0.155334i
$455$	0.616418	+	6.98112i	0.0288981	+	0.327280i
$456$	5.99383	−	1.60487i	0.280687	−	0.0751551i
$457$	−2.28368	+	0.611909i	−0.106826	+	0.0286239i	−0.311836	−	0.950136i	$-0.600944\pi$
$457$	−2.28368	+	0.611909i	−0.106826	+	0.0286239i	0.205010	+	0.978760i	$0.434277\pi$
$458$	−20.7191	+	7.53970i	−0.968138	+	0.352307i
$459$	78.6159	−	45.3889i	3.66947	−	2.11857i
$460$	11.2481	+	2.78564i	0.524444	+	0.129881i
$461$		−	14.0164i		−	0.652807i	−0.945231	−	0.326404i	$-0.894163\pi$
$461$		−	14.0164i		−	0.652807i	0.945231	−	0.326404i	$-0.105837\pi$
$462$	26.8831	+	13.1435i	1.25071	+	0.611492i
$463$	6.78988	+	6.78988i	0.315553	+	0.315553i	0.847056	−	0.531503i	$-0.178373\pi$
$463$	6.78988	+	6.78988i	0.315553	+	0.315553i	−0.531503	+	0.847056i	$0.678373\pi$
$464$	−14.2980	+	5.20011i	−0.663766	+	0.241409i
$465$	−16.5858	+	37.4231i	−0.769148	+	1.73545i
$466$	4.78750	−	10.2652i	0.221776	−	0.475526i
$467$	−30.2460	+	8.10439i	−1.39962	+	0.375026i	−0.878208	−	0.478280i	$-0.841261\pi$
$467$	−30.2460	+	8.10439i	−1.39962	+	0.375026i	−0.521410	+	0.853306i	$0.674594\pi$
$468$	−15.9319	+	7.42680i	−0.736451	+	0.343304i
$469$	16.9443	+	4.87510i	0.782415	+	0.225111i
$470$	−1.25100	−	2.55431i	−0.0577043	−	0.117822i
$471$	8.24249	+	4.75880i	0.379794	+	0.219274i
$472$	0.00480809	−	26.4566i	0.000221310	−	1.21776i
$473$	−14.2001	−	3.80489i	−0.652919	−	0.174949i
$474$	−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
$478$	−21.7994	−	18.2941i	−0.997083	−	0.836754i
$479$	−0.389918	−	0.675358i	−0.0178158	−	0.0308579i	0.856980	−	0.515350i	$-0.172338\pi$
$479$	−0.389918	−	0.675358i	−0.0178158	−	0.0308579i	−0.874796	+	0.484492i	$0.839005\pi$
$480$	39.2324	−	11.3089i	1.79071	−	0.516180i
$481$	2.39995	−	4.15683i	0.109428	−	0.189535i
$482$	6.39905	−	36.2780i	0.291469	−	1.65242i
$483$	0.405977	−	22.1249i	0.0184726	−	1.00672i
$484$	9.13579	+	3.32641i	0.415263	+	0.151200i
$485$	−4.21164	+	0.449888i	−0.191241	+	0.0204284i
$486$	20.3164	−	43.5618i	0.921572	−	1.97600i
$487$	−35.4937	−	9.51051i	−1.60837	−	0.430962i	−0.660816	−	0.750548i	$-0.729790\pi$
$487$	−35.4937	−	9.51051i	−1.60837	−	0.430962i	−0.947557	+	0.319586i	$0.896456\pi$
$488$	3.13161	−	1.80728i	0.141761	−	0.0818116i
$489$		−	40.6914i		−	1.84013i
$490$	−21.8639	+	3.45951i	−0.987712	+	0.156285i
$491$	16.9396			0.764474			0.382237	−	0.924064i	$-0.375154\pi$
$491$	16.9396			0.764474			0.382237	+	0.924064i	$0.375154\pi$
$492$	0.539593	−	6.15899i	0.0243267	−	0.277668i
$493$	−6.26472	+	23.3803i	−0.282149	+	1.05299i
$494$	−0.481253	+	1.03189i	−0.0216526	+	0.0464268i
$495$	31.9876	+	25.8133i	1.43773	+	1.16022i
$496$	−14.5859	+	17.3742i	−0.654925	+	0.780125i
$497$	−2.57640	−	0.0472752i	−0.115568	−	0.00212058i
$498$	−65.0979	−	11.4826i	−2.91710	−	0.514547i
$499$	12.7875	+	7.38287i	0.572448	+	0.330503i	0.758126	−	0.652108i	$-0.226115\pi$
$499$	12.7875	+	7.38287i	0.572448	+	0.330503i	−0.185679	+	0.982611i	$0.559448\pi$
$500$	6.43128	−	21.4158i	0.287616	−	0.957746i
$501$	−19.8837	+	11.4799i	−0.888338	+	0.512882i
$502$	6.85449	+	5.75231i	0.305931	+	0.256738i
$503$	−20.5187	−	20.5187i	−0.914884	−	0.914884i	0.0817674	−	0.996651i	$-0.473944\pi$
$503$	−20.5187	−	20.5187i	−0.914884	−	0.914884i	−0.996651	+	0.0817674i	$0.973944\pi$
$504$	−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
$507$	−9.68830	+	36.1572i	−0.430273	+	1.60580i
$508$	13.1468	+	9.20787i	0.583295	+	0.408533i
$509$	12.8957	−	22.3361i	0.571593	−	0.990029i	−0.424809	−	0.905283i	$-0.639659\pi$
$509$	12.8957	−	22.3361i	0.571593	−	0.990029i	0.996403	−	0.0847457i	$-0.0270078\pi$
$510$	21.0478	−	61.4536i	0.932011	−	2.72121i
$511$	−1.24309	+	4.32060i	−0.0549912	+	0.191132i
$512$	22.6274	+	0.0123366i	1.00000	+	0.000545206i
$513$	−2.50921	−	9.36449i	−0.110784	−	0.413452i
$514$	6.50501	+	3.03382i	0.286924	+	0.133816i
$515$	10.9794	−	24.7732i	0.483811	−	1.09164i
$516$	24.6184	+	29.3463i	1.08376	+	1.29190i
$517$	1.57574	−	1.57574i	0.0693011	−	0.0693011i
$518$	13.6200	+	6.65899i	0.598426	+	0.292579i
$519$	−41.3948			−1.81703
$520$	−3.03697	+	6.84905i	−0.133180	+	0.300351i
$521$	12.1953	+	21.1229i	0.534286	+	0.925410i	0.999198	+	0.0400529i	$0.0127526\pi$
$521$	12.1953	+	21.1229i	0.534286	+	0.925410i	−0.464912	+	0.885357i	$0.653914\pi$
$522$	13.6472	+	37.5024i	0.597321	+	1.64144i
$523$	−2.51528	−	9.38717i	−0.109986	−	0.410472i	0.888877	−	0.458145i	$-0.151486\pi$
$523$	−2.51528	−	9.38717i	−0.109986	−	0.410472i	−0.998863	+	0.0476732i	$0.984819\pi$
$524$	−8.88771	−	3.23608i	−0.388261	−	0.141369i
$525$	−42.6042	−	2.87217i	−1.85940	−	0.125352i
$526$	13.9720	−	9.78205i	0.609209	−	0.426518i
$527$	9.34095	+	34.8609i	0.406898	+	1.51857i
$528$	18.3425	+	26.2093i	0.798254	+	1.14061i
$529$	−14.1041	+	8.14303i	−0.613224	+	0.354045i
$530$	0.593332	−	8.68935i	0.0257727	−	0.377441i
$531$	−69.3980			−3.01162
$532$	−3.35612	−	1.29221i	−0.145506	−	0.0560242i
$533$	0.802203	+	0.802203i	0.0347473	+	0.0347473i
$534$	−1.42714	−	16.3237i	−0.0617583	−	0.706394i
$535$	−6.43476	+	14.5190i	−0.278199	+	0.627709i
$536$	13.3259	+	13.3307i	0.575590	+	0.575799i
$537$	36.5987	−	9.80659i	1.57935	−	0.423186i
$538$	−2.46624	+	13.9818i	−0.106327	+	0.602799i
$539$	−8.11490	−	15.3280i	−0.349533	−	0.660222i
$540$	−17.6806	−	61.2948i	−0.760851	−	2.63771i
$541$	16.3797	+	9.45685i	0.704220	+	0.406582i	0.808917	−	0.587922i	$-0.200054\pi$
$541$	16.3797	+	9.45685i	0.704220	+	0.406582i	−0.104697	+	0.994504i	$0.533387\pi$
$542$	−7.08187	−	19.4609i	−0.304192	−	0.835919i
$543$	−19.6778	+	73.4385i	−0.844454	+	3.15155i
$544$	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	$0.700985\pi$
$548$	1.04453	+	0.0915121i	0.0446201	+	0.00390920i
$549$	−4.74215	−	8.21364i	−0.202390	−	0.350549i
$550$	17.5068	−	0.669784i	0.746492	−	0.0285597i
$551$	2.23871	+	1.29252i	0.0953721	+	0.0550631i
$552$	11.8320	−	20.4850i	0.503603	−	0.871900i
$553$	31.7965	+	19.1440i	1.35213	+	0.814086i
$554$	−8.17876	−	11.6820i	−0.347482	−	0.496320i
$555$	22.7591	+	18.3661i	0.966069	+	0.779597i
$556$	23.1928	−	4.08661i	0.983592	−	0.173311i
$557$	9.77177	+	2.61834i	0.414043	+	0.110943i	0.459826	−	0.888009i	$-0.347912\pi$
$557$	9.77177	+	2.61834i	0.414043	+	0.110943i	−0.0457831	+	0.998951i	$0.514578\pi$
$558$	45.5811	+	38.2518i	1.92960	+	1.61933i
$559$	−7.02886			−0.297289
$560$	−22.2417	−	8.08121i	−0.939884	−	0.341493i
$561$	50.8947			2.14878
$562$	−29.0339	−	24.3653i	−1.22472	−	1.02779i
$563$	9.35456	+	2.50655i	0.394248	+	0.105638i	0.450496	−	0.892778i	$-0.351247\pi$
$563$	9.35456	+	2.50655i	0.394248	+	0.105638i	−0.0562482	+	0.998417i	$0.517914\pi$
$564$	−5.71834	+	1.00758i	−0.240785	+	0.0424269i
$565$	2.25654	+	21.1247i	0.0949335	+	0.888722i
$566$	−0.338492	−	0.483480i	−0.0142279	−	0.0203222i
$567$	−55.0715	+	30.4623i	−2.31279	+	1.27930i
$568$	−2.38544	−	1.37781i	−0.100091	−	0.0578117i
$569$	31.5070	+	18.1906i	1.32084	+	0.762588i	0.983863	−	0.178924i	$-0.0572615\pi$
$569$	31.5070	+	18.1906i	1.32084	+	0.762588i	0.336979	+	0.941512i	$0.390595\pi$
$570$	−5.75767	−	3.86991i	−0.241162	−	0.162093i
$571$	3.18300	+	5.51312i	0.133204	+	0.230717i	0.924910	−	0.380186i	$-0.124140\pi$
$571$	3.18300	+	5.51312i	0.133204	+	0.230717i	−0.791706	+	0.610903i	$0.790807\pi$
$572$	−5.84772	−	0.512323i	−0.244505	−	0.0214213i
$573$	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
$577$	−1.35525	+	5.05788i	−0.0564200	+	0.210562i	−0.988381	−	0.151996i	$-0.951430\pi$
$577$	−1.35525	+	5.05788i	−0.0564200	+	0.210562i	0.931961	+	0.362558i	$0.118097\pi$
$578$	−11.3637	−	31.2275i	−0.472669	−	1.29889i
$579$	−49.2701	−	28.4461i	−2.04760	−	1.18218i
$580$	14.8903	+	8.22317i	0.618285	+	0.341449i
$581$	26.5892	+	27.5832i	1.10311	+	1.14434i
$582$	−1.50204	+	8.51548i	−0.0622616	+	0.352978i
$583$	6.59144	−	1.76617i	0.272990	−	0.0731473i
$584$	−3.39918	+	3.39794i	−0.140659	+	0.140608i
$585$	17.9671	+	7.96298i	0.742850	+	0.329229i
$586$	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	$0.738066\pi$
$588$	−5.59294	+	44.8429i	−0.230649	+	1.84929i
$589$	3.85439			0.158817
$590$	−22.2920	+	19.4423i	−0.917748	+	0.800426i
$591$	−55.1106	+	31.8181i	−2.26695	+	1.30882i
$592$	9.29297	+	13.2786i	0.381939	+	0.545747i
$593$	5.78316	+	21.5831i	0.237486	+	0.886310i	0.977012	+	0.213182i	$0.0683829\pi$
$593$	5.78316	+	21.5831i	0.237486	+	0.886310i	−0.739526	+	0.673128i	$0.764950\pi$
$594$	40.9450	−	28.6663i	1.67999	−	1.17619i
$595$	−30.8226	+	21.6191i	−1.26361	+	0.886299i
$596$	11.2071	+	4.08058i	0.459059	+	0.167147i
$597$	−19.6861	−	73.4694i	−0.805698	−	3.00690i
$598$	1.48443	+	4.07922i	0.0607030	+	0.166812i
$599$	3.39981	+	5.88865i	0.138913	+	0.240604i	0.927085	−	0.374851i	$-0.122306\pi$
$599$	3.39981	+	5.88865i	0.138913	+	0.240604i	−0.788173	+	0.615454i	$0.788973\pi$
$600$	−38.3643	−	24.7392i	−1.56621	−	1.00997i
$601$	7.47373			0.304860			0.152430	−	0.988314i	$-0.451290\pi$
$601$	7.47373			0.304860			0.152430	+	0.988314i	$0.451290\pi$
$602$	−1.52752	−	22.1483i	−0.0622570	−	0.902698i
$603$	34.9613	−	34.9613i	1.42374	−	1.42374i
$604$	14.3226	+	17.0732i	0.582776	+	0.694697i
$605$	−3.91272	−	10.1415i	−0.159075	−	0.412311i
$606$	65.0767	+	30.3506i	2.64356	+	1.23291i
$607$	2.28295	+	8.52009i	0.0926622	+	0.345820i	0.996655	−	0.0817285i	$-0.0260440\pi$
$607$	2.28295	+	8.52009i	0.0926622	+	0.345820i	−0.903992	+	0.427548i	$0.859377\pi$
$608$	−2.47037	−	2.94589i	−0.100187	−	0.119471i
$609$	8.98145	−	31.2167i	0.363947	−	1.26496i
$610$	−3.82437	−	1.30984i	−0.154844	−	0.0530339i
$611$	0.532732	−	0.922719i	0.0215520	−	0.0373292i
$612$	−77.3449	−	54.1715i	−3.12648	−	2.18975i
$613$	8.67598	−	32.3792i	0.350420	−	1.30778i	−0.535732	−	0.844388i	$-0.679964\pi$
$613$	8.67598	−	32.3792i	0.350420	−	1.30778i	0.886151	−	0.463396i	$-0.153369\pi$
$614$	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	$0.959797\pi$
$618$	−42.3745	−	35.5608i	−1.70455	−	1.43047i
$619$	−36.6246	+	21.1452i	−1.47207	+	0.849898i	−0.999507	−	0.0314006i	$-0.990003\pi$
$619$	−36.6246	+	21.1452i	−1.47207	+	0.849898i	−0.472560	+	0.881299i	$0.656670\pi$
$620$	25.3580	−	0.482598i	1.01840	−	0.0193816i
$621$	−32.0098	−	18.4809i	−1.28451	−	0.741612i
$622$	−15.0740	−	2.65889i	−0.604411	−	0.106612i
$623$	−4.89860	+	8.13616i	−0.196258	+	0.325968i
$624$	11.7144	+	9.83441i	0.468952	+	0.393691i
$625$	−22.7691	+	10.3232i	−0.910764	+	0.412928i
$626$	−4.94464	+	10.6021i	−0.197628	+	0.423747i
$627$	1.40679	−	5.25022i	0.0561818	−	0.209674i
$628$	0.514680	−	5.87462i	0.0205380	−	0.234423i
$629$	25.7851			1.02812
$630$	−21.1871	+	58.3459i	−0.844116	+	2.32456i
$631$			21.0485i			0.837927i	0.908003	+	0.418964i	$0.137607\pi$
$631$			21.0485i			0.837927i	−0.908003	+	0.418964i	$0.862393\pi$
$632$	19.8325	+	34.3653i	0.788894	+	1.36698i
$633$	−49.5272	−	13.2708i	−1.96853	−	0.527466i
$634$	−3.80442	+	8.15731i	−0.151093	+	0.323968i
$635$	−1.90606	−	17.8437i	−0.0756398	−	0.708104i
$636$	−16.7075	−	6.08333i	−0.662496	−	0.241220i
$637$	−5.64449	−	6.07472i	−0.223643	−	0.240689i
$638$	−2.31507	+	13.1248i	−0.0916544	+	0.519614i
$639$	−3.61299	+	6.25788i	−0.142928	+	0.247558i
$640$	−16.6214	−	19.0717i	−0.657019	−	0.753874i
$641$	−22.9707	−	39.7864i	−0.907287	−	1.57147i	−0.817817	−	0.575478i	$-0.804816\pi$
$641$	−22.9707	−	39.7864i	−0.907287	−	1.57147i	−0.0894699	−	0.995990i	$-0.528517\pi$
$642$	24.8346	+	20.8413i	0.980144	+	0.822540i
$643$	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
$647$	7.46379	+	1.99992i	0.293432	+	0.0786248i	0.402532	−	0.915406i	$-0.368130\pi$
$647$	7.46379	+	1.99992i	0.293432	+	0.0786248i	−0.109100	+	0.994031i	$0.534797\pi$
$648$	−67.2804	−	0.0122272i	−2.64303	−	0.000480331i
$649$	−20.0705	−	11.5877i	−0.787836	−	0.454857i
$650$	8.00228	−	2.47574i	0.313875	−	0.0971065i
$651$	−11.6751	−	47.0053i	−0.457584	−	1.84228i
$652$	−22.8515	+	10.6525i	−0.894934	+	0.417183i
$653$	31.0593	−	8.32230i	1.21544	−	0.325677i	0.406547	−	0.913630i	$-0.366733\pi$
$653$	31.0593	−	8.32230i	1.21544	−	0.325677i	0.808895	+	0.587953i	$0.200066\pi$
$654$	35.4961	−	76.1097i	1.38801	−	2.97612i
$655$	3.80647	+	9.86612i	0.148731	+	0.385501i
$656$	−3.60003	+	1.30932i	−0.140557	+	0.0511202i
$657$	8.91473	+	8.91473i	0.347797	+	0.347797i
$658$	3.02331	+	1.47814i	0.117861	+	0.0576240i
$659$		−	26.5566i		−	1.03450i	−0.855835	−	0.517250i	$-0.826956\pi$
$659$		−	26.5566i		−	1.03450i	0.855835	−	0.517250i	$-0.173044\pi$
$660$	8.59792	−	34.7173i	0.334673	−	1.35137i
$661$	24.3850	−	14.0787i	0.948465	−	0.547596i	0.0558611	−	0.998439i	$-0.482210\pi$
$661$	24.3850	−	14.0787i	0.948465	−	0.547596i	0.892604	+	0.450842i	$0.148876\pi$
$662$	16.2616	−	5.91761i	0.632024	−	0.229995i
$663$	23.5047	−	6.29807i	0.912847	−	0.244597i
$664$	10.5934	+	39.5637i	0.411102	+	1.53537i
$665$	1.37822	+	3.77719i	0.0534452	+	0.146473i
$666$	34.8265	−	24.3827i	1.34950	−	0.944809i
$667$	9.51968	−	2.55079i	0.368603	−	0.0987670i
$668$	11.6522	+	8.16104i	0.450836	+	0.315760i
$669$	24.0211	+	41.6057i	0.928709	+	1.60857i
$670$	1.43564	−	21.0249i	0.0554635	−	0.812264i
$671$		−	3.16727i		−	0.122271i
$672$	−28.4430	+	39.0500i	−1.09721	+	1.50639i
$673$	−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
$675$	−38.6424	+	59.9486i	−1.48735	+	2.30742i
$676$	22.8415	−	4.02472i	0.878519	−	0.154797i
$677$	7.02820	+	26.2296i	0.270116	+	1.00808i	0.959044	+	0.283256i	$0.0914146\pi$
$677$	7.02820	+	26.2296i	0.270116	+	1.00808i	−0.688929	+	0.724829i	$0.741919\pi$
$678$	42.7119	+	7.53392i	1.64034	+	0.289338i
$679$	3.60817	−	3.47815i	0.138469	−	0.133479i
$680$	−40.0212	+	4.26772i	−1.53474	+	0.163660i
$681$	6.58586	−	11.4070i	0.252371	−	0.437119i
$682$	6.79537	+	18.6736i	0.260208	+	0.715051i
$683$	−26.1414	−	7.00457i	−1.00027	−	0.268022i	−0.278713	−	0.960374i	$-0.589908\pi$
$683$	−26.1414	−	7.00457i	−1.00027	−	0.268022i	−0.721560	+	0.692352i	$0.756575\pi$
$684$	−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
$688$	10.0355	−	21.5077i	0.382602	−	0.819973i
$689$	2.82557	−	1.63134i	0.107646	−	0.0621492i
$690$	−25.9546	+	5.08915i	−0.988074	+	0.193741i
$691$	−18.4600	+	31.9737i	−0.702252	+	1.21634i	0.265422	+	0.964132i	$0.414489\pi$
$691$	−18.4600	+	31.9737i	−0.702252	+	1.21634i	−0.967674	+	0.252204i	$0.918845\pi$
$692$	10.8366	+	23.2466i	0.411947	+	0.883702i
$693$	−48.6266	−	0.892264i	−1.84717	−	0.0338943i
$694$	0.679558	−	0.475770i	0.0257957	−	0.0180600i
$695$	−20.4901	−	16.5351i	−0.777235	−	0.627212i
$696$	24.5593	−	24.5504i	0.930919	−	0.930581i
$697$	−1.57737	+	5.88683i	−0.0597472	+	0.222979i
$698$	−13.1806	−	11.0612i	−0.498894	−	0.418673i
$699$			25.8527i			0.977840i
$700$	9.54025	+	24.6776i	0.360588	+	0.932725i
$701$		−	32.7053i		−	1.23526i	−0.786468	−	0.617631i	$-0.788093\pi$
$701$		−	32.7053i		−	1.23526i	0.786468	−	0.617631i	$-0.211907\pi$
$702$	15.3623	−	18.3058i	0.579812	−	0.690907i
$703$	0.712732	−	2.65995i	0.0268812	−	0.100322i
$704$	9.91682	−	17.1620i	0.373754	−	0.646818i
$705$	5.05199	+	4.07684i	0.190269	+	0.153543i
$706$	21.1054	+	30.1456i	0.794314	+	1.13454i
$707$	−20.1441	−	36.4177i	−0.757598	−	1.36963i
$708$	25.5136	+	54.7314i	0.958859	+	2.05693i
$709$	5.19917	−	9.00523i	0.195259	−	0.338199i	−0.751726	−	0.659475i	$-0.770779\pi$
$709$	5.19917	−	9.00523i	0.195259	−	0.338199i	0.946985	+	0.321277i	$0.104112\pi$
$710$	0.592621	+	3.02236i	0.0222407	+	0.113427i
$711$	90.1339	−	52.0388i	3.38028	−	1.95161i
$712$	−8.79345	+	5.07477i	−0.329549	+	0.190185i
$713$	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
$717$	62.7422	+	16.8117i	2.34315	+	0.627845i
$718$	−43.7808	+	15.9319i	−1.63388	+	0.594573i
$719$	23.3347	−	40.4169i	0.870239	−	1.50730i	0.00848907	−	0.999964i	$-0.497298\pi$
$719$	23.3347	−	40.4169i	0.870239	−	1.50730i	0.861750	−	0.507334i	$-0.169369\pi$
$720$	−50.0188	+	43.6086i	−1.86409	+	1.62520i
$721$	7.72867	+	31.1165i	0.287831	+	1.15884i
$722$	4.55407	−	25.8183i	0.169485	−	0.960856i
$723$	21.7618	+	81.2162i	0.809330	+	3.02046i
$724$	46.3930	−	8.17455i	1.72418	−	0.303805i
$725$	−4.01713	−	18.5887i	−0.149192	−	0.690366i
$726$	−22.1070	+	1.93276i	−0.820466	+	0.0717314i
$727$	−10.4956	+	10.4956i	−0.389261	+	0.389261i	−0.874424	−	0.485163i	$-0.838760\pi$
$727$	−10.4956	+	10.4956i	−0.389261	+	0.389261i	0.485163	+	0.874424i	$0.338760\pi$
$728$	−2.13535	−	8.60383i	−0.0791413	−	0.318879i
$729$			38.3481i			1.42030i
$730$	5.36111	+	0.366071i	0.198424	+	0.0135489i
$731$	−18.8796	−	32.7004i	−0.698287	−	1.20947i
$732$	−4.73435	+	6.75961i	−0.174987	+	0.249842i
$733$	15.8289	−	4.24134i	0.584654	−	0.156658i	0.0456452	−	0.998958i	$-0.485466\pi$
$733$	15.8289	−	4.24134i	0.584654	−	0.156658i	0.539009	+	0.842300i	$0.318799\pi$
$734$	19.8664	+	28.3758i	0.733282	+	1.04737i
$735$	41.8892	−	28.2490i	1.54510	−	1.04198i
$736$	−14.6015	−	1.28192i	−0.538217	−	0.0472521i
$737$	15.9488	−	4.27346i	0.587481	−	0.157415i
$738$	3.43617	+	9.44258i	0.126487	+	0.347586i
$739$	17.4130	−	10.0534i	0.640548	−	0.369820i	−0.144278	−	0.989537i	$-0.546086\pi$
$739$	17.4130	−	10.0534i	0.640548	−	0.369820i	0.784825	+	0.619717i	$0.212753\pi$
$740$	4.35602	−	17.5891i	0.160131	−	0.646587i
$741$		−	2.59879i		−	0.0954691i
$742$	5.75450	+	8.54899i	0.211254	+	0.313843i
$743$	13.0655	+	13.0655i	0.479326	+	0.479326i	0.904916	−	0.425590i	$-0.139934\pi$
$743$	13.0655	+	13.0655i	0.479326	+	0.479326i	−0.425590	+	0.904916i	$0.639934\pi$
$744$	13.4101	−	50.0109i	0.491639	−	1.83349i
$745$	−4.79981	−	12.4408i	−0.175852	−	0.455796i
$746$	−34.0611	−	15.8855i	−1.24707	−	0.581608i
$747$	103.774	−	27.8062i	3.79690	−	1.01738i
$748$	−13.3236	−	28.5815i	−0.487158	−	1.04504i
$749$	−4.52957	−	18.2366i	−0.165507	−	0.666349i
$750$	7.35716	+	50.5042i	0.268645	+	1.84415i
$751$	−2.69156	−	1.55397i	−0.0982165	−	0.0567053i	0.450087	−	0.892985i	$-0.351393\pi$
$751$	−2.69156	−	1.55397i	−0.0982165	−	0.0567053i	−0.548304	+	0.836279i	$0.684726\pi$
$752$	2.06282	+	2.94754i	0.0752234	+	0.107486i
$753$	−19.7283	−	5.28618i	−0.718939	−	0.192639i
$754$	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	$0.580169\pi$
$757$	−33.5021	+	33.5021i	−1.21766	+	1.21766i	−0.968451	+	0.249204i	$0.919831\pi$
$758$	−25.2919	+	30.1380i	−0.918644	+	1.09466i
$759$	−10.3613	−	17.9464i	−0.376092	−	0.651411i
$760$	−0.665984	+	4.24649i	−0.0241578	+	0.154036i
$761$	−8.47733	+	14.6832i	−0.307303	+	0.532264i	−0.977771	−	0.209674i	$-0.932760\pi$
$761$	−8.47733	+	14.6832i	−0.307303	+	0.532264i	0.670469	+	0.741938i	$0.266093\pi$
$762$	−36.0780	−	6.36378i	−1.30697	−	0.230535i
$763$	−42.5919	+	23.5593i	−1.54193	+	0.852905i
$764$	0.634335	−	1.74216i	0.0229494	−	0.0630292i
$765$	11.2137	+	104.977i	0.405432	+	3.79546i
$766$	−22.2690	−	10.3858i	−0.804611	−	0.375256i
$767$	−10.7031	−	2.86789i	−0.386467	−	0.103553i
$768$	−46.8179	+	21.8039i	−1.68939	+	0.786781i
$769$		−	40.7180i		−	1.46833i	−0.678972	−	0.734164i	$-0.737574\pi$
$769$		−	40.7180i		−	1.46833i	0.678972	−	0.734164i	$-0.262426\pi$
$770$	−15.8698	+	13.3364i	−0.571908	+	0.480612i
$771$	−16.3828			−0.590011
$772$	−3.07654	+	35.1160i	−0.110727	+	1.26385i
$773$	−8.77656	+	32.7546i	−0.315671	+	1.17810i	0.607692	+	0.794172i	$0.292095\pi$
$773$	−8.77656	+	32.7546i	−0.315671	+	1.17810i	−0.923363	+	0.383927i	$0.874571\pi$
$774$	−56.4214	−	26.3139i	−2.02803	−	0.945834i
$775$	−19.0455	−	21.0083i	−0.684133	−	0.754641i
$776$	5.17535	−	1.38572i	0.185784	−	0.0497446i
$777$	−34.5977	−	0.634844i	−1.24119	−	0.0227749i
$778$	5.84723	−	33.1495i	0.209633	−	1.18847i
$779$	0.563675	+	0.325438i	0.0201958	+	0.0116600i
$780$	−0.325388	−	17.0975i	−0.0116508	−	0.612188i
$781$	−2.08982	+	1.20656i	−0.0747795	+	0.0431740i
$782$	−14.9906	+	17.8629i	−0.536062	+	0.638775i
$783$	−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
$787$	7.97322	−	29.7565i	0.284215	−	1.06070i	−0.665196	−	0.746668i	$-0.731652\pi$
$787$	7.97322	−	29.7565i	0.284215	−	1.06070i	0.949411	−	0.314036i	$-0.101681\pi$
$788$	32.2957	+	22.6195i	1.15049	+	0.805786i
$789$	−19.4647	+	33.7139i	−0.692963	+	1.20025i
$790$	14.3738	−	41.9675i	0.511397	−	1.49314i
$791$	−17.4456	−	18.0978i	−0.620295	−	0.643485i
$792$	−45.0223	−	26.0046i	−1.59980	−	0.924032i
$793$	−0.391941	−	1.46274i	−0.0139182	−	0.0519435i
$794$	−4.46225	+	9.56782i	−0.158359	+	0.339549i
$795$	7.15557	+	18.5468i	0.253782	+	0.657786i
$796$	−36.1055	+	30.2887i	−1.27973	+	1.07355i
$797$	−5.09246	+	5.09246i	−0.180384	+	0.180384i	−0.791523	−	0.611139i	$-0.790712\pi$
$797$	−5.09246	+	5.09246i	−0.180384	+	0.180384i	0.611139	+	0.791523i	$0.290712\pi$
$798$	8.18894	−	0.564772i	0.289885	−	0.0199927i
$799$	5.72370			0.202490
$800$	−3.84982	+	28.0210i	−0.136112	+	0.990694i
$801$	13.3158	+	23.0636i	0.470490	+	0.814913i
$802$	−16.0964	+	5.85749i	−0.568382	+	0.206835i
$803$	1.08968	+	4.06675i	0.0384541	+	0.143513i
$804$	−40.4258	−	14.7193i	−1.42571	−	0.519111i
$805$	13.8983	+	6.46729i	0.489850	+	0.227942i
$806$	5.44911	+	7.78314i	0.191937	+	0.274149i
$807$	−8.38717	−	31.3013i	−0.295242	−	1.10186i
$808$	0.00808563	−	44.4912i	0.000284452	−	1.56520i
$809$	6.85811	−	3.95953i	0.241118	−	0.139210i	−0.374572	−	0.927198i	$-0.622210\pi$
$809$	6.85811	−	3.95953i	0.241118	−	0.139210i	0.615691	+	0.787988i	$0.288877\pi$
$810$	49.4428	+	56.6898i	1.73724	+	1.99188i
$811$	40.2831			1.41453			0.707266	−	0.706948i	$-0.249928\pi$
$811$	40.2831			1.41453			0.707266	+	0.706948i	$0.249928\pi$
$812$	−19.8819	+	3.12830i	−0.697719	+	0.109782i
$813$	33.4238	+	33.4238i	1.17222	+	1.17222i
$814$	14.1434	−	1.23653i	0.495727	−	0.0433402i
$815$	25.7708	+	11.4215i	0.902711	+	0.400079i
$816$	−14.2876	+	80.9145i	−0.500167	+	2.83257i
$817$	−3.89518	+	1.04371i	−0.136275	+	0.0365148i
$818$	−6.48415	−	1.14374i	−0.226713	−	0.0399898i
$819$	−22.5676	+	5.60532i	−0.788577	+	0.195866i
$820$	3.74917	+	2.07048i	0.130927	+	0.0723043i
$821$	13.6970	+	7.90794i	0.478027	+	0.275989i	0.719594	−	0.694395i	$-0.244328\pi$
$821$	13.6970	+	7.90794i	0.478027	+	0.275989i	−0.241567	+	0.970384i	$0.577661\pi$
$822$	−2.24895	+	0.818396i	−0.0784411	+	0.0285448i
$823$	2.65275	−	9.90021i	0.0924691	−	0.345099i	−0.904154	−	0.427206i	$-0.859498\pi$
$823$	2.65275	−	9.90021i	0.0924691	−	0.345099i	0.996624	+	0.0821062i	$0.0261647\pi$
$824$	−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	$0.598640\pi$
$828$	−3.35563	+	38.3016i	−0.116616	+	1.33107i
$829$	−16.4972	−	28.5740i	−0.572972	−	0.992416i	−0.996259	−	0.0864204i	$-0.972457\pi$
$829$	−16.4972	−	28.5740i	−0.572972	−	0.992416i	0.423287	−	0.905996i	$-0.360876\pi$
$830$	25.5443	−	38.0049i	0.886654	−	1.31917i
$831$	28.1882	+	16.2745i	0.977837	+	0.564555i
$832$	2.45614	−	9.15312i	0.0851512	−	0.317327i
$833$	13.1003	−	42.5767i	0.453898	−	1.47519i
$834$	−44.0329	+	30.8282i	−1.52473	+	1.06749i
$835$	−1.68937	−	15.8150i	−0.0584629	−	0.547302i
$836$	−3.31670	+	0.584410i	−0.114711	+	0.0202122i
$837$	−78.1424	−	20.9382i	−2.70100	−	0.723730i
$838$	−26.8817	+	32.0325i	−0.928615	+	1.10654i
$839$	46.3593			1.60050			0.800251	−	0.599666i	$-0.204700\pi$
$839$	46.3593			1.60050			0.800251	+	0.599666i	$0.204700\pi$
$840$	53.8043	−	4.74095i	1.85643	−	0.163578i
$841$	−14.5329			−0.501136
$842$	17.7377	−	21.1363i	0.611280	−	0.728406i
$843$	83.5641	+	22.3909i	2.87810	+	0.771185i
$844$	5.51295	+	31.2877i	0.189764	+	1.07697i
$845$	−20.1798	−	16.2847i	−0.694207	−	0.560210i
$846$	7.73068	−	5.41238i	0.265786	−	0.186082i
$847$	11.0187	+	6.63412i	0.378607	+	0.227951i
$848$	0.957522	+	10.9752i	0.0328814	+	0.376888i
$849$	1.16662	+	0.673547i	0.0400382	+	0.0231161i
$850$	33.0121	+	30.5792i	1.13231	+	1.04886i
$851$	−5.24943	−	9.09228i	−0.179948	−	0.311679i
$852$	6.26362	+	0.548761i	0.214588	+	0.0188002i
$853$	−12.1510	−	12.1510i	−0.416041	−	0.416041i	0.467795	−	0.883837i	$-0.345048\pi$
$853$	−12.1510	−	12.1510i	−0.416041	−	0.416041i	−0.883837	+	0.467795i	$0.845048\pi$
$854$	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
$857$	−11.8235	+	44.1259i	−0.403883	+	1.50731i	0.402225	+	0.915541i	$0.368237\pi$
$857$	−11.8235	+	44.1259i	−0.403883	+	1.50731i	−0.806107	+	0.591769i	$0.798430\pi$
$858$	12.5906	−	4.58173i	0.429835	−	0.156418i
$859$	−16.6199	−	9.59551i	−0.567064	−	0.327395i	0.188912	−	0.981994i	$-0.439504\pi$
$859$	−16.6199	−	9.59551i	−0.567064	−	0.327395i	−0.755976	+	0.654599i	$0.772837\pi$
$860$	−25.4957	+	7.35427i	−0.869396	+	0.250779i
$861$	2.26140	−	7.85993i	0.0770685	−	0.267866i
$862$	−40.8487	−	7.20528i	−1.39131	−	0.245413i
$863$	−50.5786	+	13.5525i	−1.72171	+	0.461332i	−0.978247	−	0.207441i	$-0.933486\pi$
$863$	−50.5786	+	13.5525i	−1.72171	+	0.461332i	−0.743466	+	0.668773i	$0.766820\pi$
$864$	34.0804	+	73.1435i	1.15944	+	2.48839i
$865$	11.6190	−	26.2163i	0.395057	−	0.891380i
$866$	27.1724	−	2.37562i	0.923356	−	0.0807268i
$867$	53.6327	+	53.6327i	1.82146	+	1.82146i
$868$	−23.3409	+	18.8619i	−0.792242	+	0.640214i
$869$	34.7567			1.17904
$870$	−38.7345	−	2.64489i	−1.31322	−	0.0896703i
$871$	6.83680	−	3.94723i	0.231656	−	0.133747i
$872$	−52.0342	−	0.00945646i	−1.76210	−	0.000320236i
$873$	−3.63735	−	13.5748i	−0.123106	−	0.459436i
$874$	1.42835	+	2.04015i	0.0483146	+	0.0690092i
$875$	13.7774	−	26.1760i	0.465762	−	0.884910i
$876$	3.75326	−	10.3081i	0.126811	−	0.348279i
$877$	−4.17969	−	15.5988i	−0.141138	−	0.526735i	−0.999897	−	0.0143549i	$-0.995431\pi$
$877$	−4.17969	−	15.5988i	−0.141138	−	0.526735i	0.858759	−	0.512380i	$-0.171236\pi$
$878$	7.74754	−	2.81934i	0.261467	−	0.0951482i
$879$	−43.8122	−	75.8849i	−1.47775	−	2.55953i
$880$	−21.7474	+	4.26011i	−0.733105	+	0.143608i
$881$	−49.7235			−1.67523			−0.837613	−	0.546264i	$-0.816050\pi$
$881$	−49.7235			−1.67523			−0.837613	+	0.546264i	$0.816050\pi$
$882$	−22.5671	−	69.8937i	−0.759873	−	2.35344i
$883$	−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
$885$	27.3555	−	61.7232i	0.919546	−	2.07480i
$886$	11.7695	−	25.2358i	0.395405	−	0.847814i
$887$	−3.33589	−	12.4497i	−0.112008	−	0.418020i	0.887038	−	0.461697i	$-0.152759\pi$
$887$	−3.33589	−	12.4497i	−0.112008	−	0.418020i	−0.999046	+	0.0436773i	$0.986093\pi$
$888$	−32.0333	−	18.5022i	−1.07497	−	0.620893i
$889$	14.7360	+	15.2869i	0.494231	+	0.512707i
$890$	10.7387	+	3.67799i	0.359963	+	0.123287i
$891$	−29.4682	+	51.0404i	−0.987221	+	1.70992i
$892$	17.0766	−	24.3816i	0.571767	−	0.816357i
$893$	0.158210	−	0.590448i	0.00529430	−	0.0197586i
$894$	−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
$898$	−14.3121	+	17.0543i	−0.477599	+	0.569111i
$899$	18.6810	−	10.7855i	0.623046	−	0.359716i
$900$	73.5036	+	10.0851i	2.45012	+	0.336169i
$901$	15.1790	+	8.76361i	0.505686	+	0.291958i
$902$	−0.582902	+	3.30463i	−0.0194085	+	0.110032i
$903$	24.5270	+	44.3413i	0.816206	+	1.47558i
$904$	−6.95049	−	25.9585i	−0.231170	−	0.863365i
$905$	−40.9869	−	33.0756i	−1.36245	−	1.09947i
$906$	−46.0980	−	21.4992i	−1.53150	−	0.714264i
$907$	6.51953	−	24.3312i	0.216477	−	0.807905i	−0.769164	−	0.639052i	$-0.779327\pi$
$907$	6.51953	−	24.3312i	0.216477	−	0.807905i	0.985641	−	0.168853i	$-0.0540063\pi$
$908$	−8.13007	−	0.712282i	−0.269806	−	0.0236379i
$909$	−116.705			−3.87085
$910$	−5.67881	+	8.12301i	−0.188251	+	0.269275i
$911$			53.5648i			1.77468i	0.461116	+	0.887340i	$0.347449\pi$
$911$			53.5648i			1.77468i	−0.461116	+	0.887340i	$0.652551\pi$
$912$	7.95208	+	3.71046i	0.263320	+	0.122866i
$913$	34.6553	+	9.28587i	1.14692	+	0.307318i
$914$	−3.03018	−	1.41322i	−0.100230	−	0.0467452i
$915$	9.17456	−	0.980028i	0.303302	−	0.0323987i
$916$	−29.2992	−	10.6681i	−0.968074	−	0.352483i
$917$	−10.7195	−	6.45397i	−0.353989	−	0.213129i
$918$	126.427	+	22.3005i	4.17273	+	0.736025i
$919$	−5.91387	+	10.2431i	−0.195081	+	0.337890i	−0.946927	−	0.321449i	$-0.895830\pi$
$919$	−5.91387	+	10.2431i	−0.195081	+	0.337890i	0.751846	+	0.659338i	$0.229164\pi$
$920$	9.65254	+	13.2433i	0.318235	+	0.436620i
$921$	−1.92921	−	3.34149i	−0.0635697	−	0.110106i
$922$	12.7423	−	15.1839i	0.419647	−	0.500054i
$923$	−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
$927$	86.8446	+	23.2699i	2.85235	+	0.764285i
$928$	−20.2164	−	7.36509i	−0.663635	−	0.241771i
$929$	47.3135	+	27.3165i	1.55231	+	0.896224i	0.997954	+	0.0639427i	$0.0203675\pi$
$929$	47.3135	+	27.3165i	1.55231	+	0.896224i	0.554353	+	0.832282i	$0.312966\pi$
$930$	−51.9888	+	25.4620i	−1.70478	+	0.834933i
$931$	−4.03004	−	2.52828i	−0.132079	−	0.0828609i
$932$	14.5184	−	6.76790i	0.475566	−	0.221690i
$933$	33.7464	−	9.04232i	1.10481	−	0.296032i
$934$	−40.1331	−	18.7173i	−1.31319	−	0.612450i
$935$	−14.2855	+	32.2328i	−0.467185	+	1.05412i
$936$	−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	$0.435901\pi$
$938$	13.9237	+	20.6853i	0.454625	+	0.675399i
$939$		−	26.7013i		−	0.871365i
$940$	0.966935	−	3.90436i	0.0315379	−	0.127346i
$941$	38.0916	−	21.9922i	1.24175	−	0.716924i	0.272299	−	0.962213i	$-0.412216\pi$
$941$	38.0916	−	21.9922i	1.24175	−	0.716924i	0.969450	+	0.245288i	$0.0788827\pi$
$942$	4.60280	+	12.6485i	0.149967	+	0.412110i
$943$	2.39692	−	0.642254i	0.0780546	−	0.0209147i
$944$	24.0570	−	28.6559i	0.782988	−	0.932670i
$945$	−7.42269	−	84.0643i	−0.241460	−	2.73461i
$946$	−11.9238	−	17.0312i	−0.387677	−	0.553731i
$947$	−13.5157	+	3.62153i	−0.439203	+	0.117684i	−0.471643	−	0.881790i	$-0.656339\pi$
$947$	−13.5157	+	3.62153i	−0.439203	+	0.117684i	0.0324401	+	0.999474i	$0.489672\pi$
$948$	−74.1778	−	51.9533i	−2.40918	−	1.68736i
$949$	1.00650	+	1.74330i	0.0326723	+	0.0565900i
$950$	4.06700	−	2.56023i	0.131951	−	0.0830649i
$951$		−	20.5441i		−	0.666187i
$952$	34.2921	−	33.0443i	1.11141	−	1.07097i
$953$	−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
$955$	−1.93395	+	0.746142i	−0.0625812	+	0.0241446i
$956$	−6.98393	−	39.6359i	−0.225876	−	1.28192i
$957$	−7.87306	−	29.3826i	−0.254500	−	0.949806i
$958$	0.191575	−	1.08609i	0.00618949	−	0.0350899i
$959$	1.33300	+	0.383522i	0.0430448	+	0.0123846i
$960$	52.7813	+	23.4155i	1.70351	+	0.755731i
$961$	0.581578	−	1.00732i	0.0187606	−	0.0324943i
$962$	6.37884	−	2.32127i	0.205662	−	0.0748408i
$963$	−50.8974	−	13.6379i	−1.64014	−	0.439475i
$964$	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	−0.738116	−	0.674674i	$-0.764284\pi$
$967$	−1.97282	+	1.97282i	−0.0634417	+	0.0634417i	0.674674	+	0.738116i	$0.264284\pi$
$968$	6.87271	+	11.9089i	0.220897	+	0.382766i
$969$	12.0904	−	6.98039i	0.388399	−	0.224243i
$970$	−4.97144	−	3.34146i	−0.159623	−	0.107288i
$971$	−10.2184	+	17.6987i	−0.327923	+	0.567979i	−0.982099	−	0.188363i	$-0.939682\pi$
$971$	−10.2184	+	17.6987i	−0.327923	+	0.567979i	0.654177	+	0.756342i	$0.273015\pi$
$972$	61.6109	−	28.7206i	1.97617	−	0.921213i
$973$	31.1485	+	0.571554i	0.998576	+	0.0183232i
$974$	−29.8041	−	42.5702i	−0.954985	−	1.36404i
$975$	−14.1647	+	12.8413i	−0.453633	+	0.411250i
$976$	5.03546	+	0.889146i	0.161181	+	0.0284609i
$977$	1.08598	−	4.05294i	0.0347437	−	0.129665i	−0.946376	−	0.323068i	$-0.895286\pi$
$977$	1.08598	−	4.05294i	0.0347437	−	0.129665i	0.981119	+	0.193403i	$0.0619524\pi$
$978$	36.9927	−	44.0808i	1.18290	−	1.40955i
$979$			8.89360i			0.284241i
$980$	−26.8302	−	16.1289i	−0.857058	−	0.515220i
$981$			136.490i			4.35781i
$982$	18.3506	+	15.3999i	0.585591	+	0.491430i
$983$	4.58467	−	17.1102i	0.146228	−	0.545731i	−0.853469	−	0.521143i	$-0.825506\pi$
$983$	4.58467	−	17.1102i	0.146228	−	0.545731i	0.999698	−	0.0245883i	$-0.00782749\pi$
$984$	6.18370	−	6.18145i	0.197129	−	0.197058i
$985$	−4.68232	−	43.8337i	−0.149191	−	1.39666i
$986$	−28.0417	+	19.6324i	−0.893028	+	0.625224i
$987$	−7.67989	−	0.140921i	−0.244454	−	0.00448555i
$988$	−1.45943	+	0.680330i	−0.0464308	+	0.0216442i
$989$	−7.68715	+	13.3145i	−0.244437	+	0.423378i
$990$	11.1850	+	57.0434i	0.355483	+	1.81296i
$991$	−8.43961	+	4.87261i	−0.268093	+	0.154784i	−0.628021	−	0.778197i	$-0.716135\pi$
$991$	−8.43961	+	4.87261i	−0.268093	+	0.154784i	0.359928	+	0.932980i	$0.382801\pi$
$992$	−31.5958	+	5.56132i	−1.00317	+	0.176572i
$993$	−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
$997$	−59.5220	−	15.9489i	−1.88508	−	0.505105i	−0.999147	−	0.0412903i	$-0.986853\pi$
$997$	−59.5220	−	15.9489i	−1.88508	−	0.505105i	−0.885932	−	0.463815i	$-0.846480\pi$
$998$	7.14085	+	19.6230i	0.226040	+	0.621156i
$999$	−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.107.36	yes	176
5.3	odd	4	inner	280.2.br.a.163.33	yes	176
7.4	even	3	inner	280.2.br.a.67.5	✓	176
8.3	odd	2	inner	280.2.br.a.107.28	yes	176
35.18	odd	12	inner	280.2.br.a.123.28	yes	176
40.3	even	4	inner	280.2.br.a.163.5	yes	176
56.11	odd	6	inner	280.2.br.a.67.33	yes	176
280.123	even	12	inner	280.2.br.a.123.36	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.5	✓	176	7.4	even	3	inner
280.2.br.a.67.33	yes	176	56.11	odd	6	inner
280.2.br.a.107.28	yes	176	8.3	odd	2	inner
280.2.br.a.107.36	yes	176	1.1	even	1	trivial
280.2.br.a.123.28	yes	176	35.18	odd	12	inner
280.2.br.a.123.36	yes	176	280.123	even	12	inner
280.2.br.a.163.5	yes	176	40.3	even	4	inner
280.2.br.a.163.33	yes	176	5.3	odd	4	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)

\(f(q)\)	\(=\)	\(q+(1.08330 + 0.909105i) q^{2} +(-3.11790 - 0.835437i) q^{3} +(0.347058 + 1.96966i) q^{4} +(1.40425 - 1.74014i) q^{5} +(-2.61810 - 3.73952i) q^{6} +(-0.0485395 + 2.64531i) q^{7} +(-1.41466 + 2.44923i) q^{8} +(6.42524 + 3.70961i) q^{9} +O(q^{10})\)	\(q+(1.08330 + 0.909105i) q^{2} +(-3.11790 - 0.835437i) q^{3} +(0.347058 + 1.96966i) q^{4} +(1.40425 - 1.74014i) q^{5} +(-2.61810 - 3.73952i) q^{6} +(-0.0485395 + 2.64531i) q^{7} +(-1.41466 + 2.44923i) q^{8} +(6.42524 + 3.70961i) q^{9} +(3.10319 - 0.608470i) q^{10} +(1.23882 + 2.14570i) q^{11} +(0.563436 - 6.43113i) 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} +(-1.64707 + 6.14695i) q^{17} +(3.58800 + 9.85982i) q^{18} +(0.588582 + 0.339818i) q^{19} +(3.91483 + 2.16197i) q^{20} +(2.36133 - 8.20723i) q^{21} +(-0.608659 + 3.45065i) q^{22} +(2.50284 - 0.670633i) q^{23} +(6.45694 - 6.45459i) q^{24} +(-1.05615 - 4.88718i) q^{25} +(0.145911 + 1.66893i) q^{26} +(-10.0867 - 10.0867i) q^{27} +(-5.22719 + 0.822468i) q^{28} +3.80356 q^{29} +(-10.1837 - 0.695373i) q^{30} +(4.91145 - 2.83563i) q^{31} +(-5.31512 - 1.93637i) q^{32} +(-2.06992 - 7.72504i) q^{33} +(-7.37248 + 5.16160i) q^{34} +(4.53503 + 3.79914i) q^{35} +(-5.07674 + 13.9430i) q^{36} +(-1.04870 - 3.91379i) q^{37} +(0.328678 + 0.903206i) q^{38} +(-1.91190 - 3.31151i) q^{39} +(2.27546 + 5.90104i) q^{40} +0.957683 q^{41} +(10.0193 - 6.74416i) q^{42} +(-4.19558 + 4.19558i) q^{43} +(-3.79636 + 3.18474i) q^{44} +(15.4779 - 5.97156i) q^{45} +(3.32099 + 1.54885i) q^{46} +(-0.232786 - 0.868770i) q^{47} +(12.8627 - 1.12220i) q^{48} +(-6.99529 - 0.256804i) q^{49} +(3.29884 - 6.25441i) q^{50} +(10.2708 - 17.7895i) q^{51} +(-1.35917 + 1.94060i) q^{52} +(0.712842 - 2.66036i) 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} +(4.12038 + 3.45783i) q^{58} +(-8.10063 + 4.67690i) q^{59} +(-10.3998 - 10.0114i) q^{60} +(-1.10707 - 0.639170i) q^{61} +(7.89844 + 1.39320i) q^{62} +(-10.1249 + 16.8167i) q^{63} +(-3.99748 - 6.92966i) q^{64} +(2.63390 - 0.281354i) q^{65} +(4.78054 - 10.2503i) q^{66} +(1.72481 - 6.43707i) q^{67} +(-12.6790 - 1.11082i) q^{68} -8.36385 q^{69} +(1.45896 + 8.23841i) q^{70} +0.973953i q^{71} +(-18.1752 + 10.4891i) q^{72} +(1.64138 + 0.439806i) q^{73} +(2.42200 - 5.19317i) q^{74} +(-0.789968 + 16.1201i) q^{75} +(-0.465053 + 1.27724i) q^{76} +(-5.73618 + 3.17291i) q^{77} +(0.939355 - 5.32546i) q^{78} +(7.01405 - 12.1487i) q^{79} +(-2.89967 + 8.46120i) q^{80} +(11.8936 + 20.6003i) q^{81} +(1.03745 + 0.870634i) 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} +(-11.8591 - 3.17763i) q^{87} +(-7.00784 - 0.00127357i) q^{88} +(3.10863 + 1.79477i) q^{89} +(22.1959 + 7.60206i) q^{90} +(-2.25650 + 2.17518i) q^{91} +(2.18955 + 4.69698i) q^{92} +(-17.6824 + 4.73798i) q^{93} +(0.537627 - 1.15276i) q^{94} +(1.41785 - 0.547023i) q^{95} +(14.9543 + 10.4778i) q^{96} +(-1.33941 - 1.33941i) q^{97} +(-7.34450 - 6.63764i) 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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