LMFDB - Embedded newform 350.2.x.a.103.14

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [350,2,Mod(3,350)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(350, base_ring=CyclotomicField(60)) chi = DirichletCharacter(H, H._module([21, 10])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("350.3"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.x (of order $60$, degree $16$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$20$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			103.14
Character	$\chi$	$=$	350.103
Dual form			350.2.x.a.17.14

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.998630 + 0.0523360i) q^{2} +(-0.658820 - 0.813575i) q^{3} +(0.994522 + 0.104528i) q^{4} +(-0.0376149 + 2.23575i) q^{5} +(-0.615338 - 0.846940i) q^{6} +(-0.124862 - 2.64280i) q^{7} +(0.987688 + 0.156434i) q^{8} +(0.395875 - 1.86244i) q^{9} +(-0.154574 + 2.23072i) q^{10} +(3.95729 - 0.841148i) q^{11} +(-0.570169 - 0.877984i) q^{12} +(3.93711 + 2.00606i) q^{13} +(0.0136227 - 2.64572i) q^{14} +(1.84373 - 1.44236i) q^{15} +(0.978148 + 0.207912i) q^{16} +(-0.193274 - 0.503496i) q^{17} +(0.492805 - 1.83917i) q^{18} +(0.577832 + 5.49771i) q^{19} +(-0.271108 + 2.21957i) q^{20} +(-2.06786 + 1.84272i) q^{21} +(3.99589 - 0.632887i) q^{22} +(0.317067 - 6.05000i) q^{23} +(-0.523438 - 0.906621i) q^{24} +(-4.99717 - 0.168195i) q^{25} +(3.82672 + 2.20936i) q^{26} +(-4.57437 + 2.33076i) q^{27} +(0.152070 - 2.64138i) q^{28} +(-3.41042 + 4.69404i) q^{29} +(1.91669 - 1.34389i) q^{30} +(1.85723 - 4.17140i) q^{31} +(0.965926 + 0.258819i) q^{32} +(-3.29148 - 2.66539i) q^{33} +(-0.166658 - 0.512922i) q^{34} +(5.91335 - 0.179752i) q^{35} +(0.588384 - 1.81086i) q^{36} +(-9.82260 + 6.37887i) q^{37} +(0.289313 + 5.52041i) q^{38} +(-0.961768 - 4.52476i) q^{39} +(-0.386900 + 2.20234i) q^{40} +(5.21170 - 1.69338i) q^{41} +(-2.16146 + 1.73197i) q^{42} +(-5.62101 - 5.62101i) q^{43} +(4.02353 - 0.422891i) q^{44} +(4.14907 + 0.955133i) q^{45} +(0.633265 - 6.02511i) q^{46} +(-4.20235 - 1.61313i) q^{47} +(-0.475272 - 0.932773i) q^{48} +(-6.96882 + 0.659972i) q^{49} +(-4.98152 - 0.429496i) q^{50} +(-0.282299 + 0.488957i) q^{51} +(3.70585 + 2.40661i) q^{52} +(5.29334 - 4.28646i) q^{53} +(-4.69008 + 2.08816i) q^{54} +(1.73174 + 8.87916i) q^{55} +(0.290101 - 2.62980i) q^{56} +(4.09211 - 4.09211i) q^{57} +(-3.65141 + 4.50912i) q^{58} +(-4.81396 + 5.34644i) q^{59} +(1.98440 - 1.24173i) q^{60} +(-7.57057 + 6.81657i) q^{61} +(2.07300 - 4.06849i) q^{62} +(-4.97150 - 0.813670i) q^{63} +(0.951057 + 0.309017i) q^{64} +(-4.63314 + 8.72694i) q^{65} +(-3.14747 - 2.83400i) q^{66} +(3.93913 - 1.51209i) q^{67} +(-0.139586 - 0.520941i) q^{68} +(-5.13102 + 3.72790i) q^{69} +(5.91465 + 0.129975i) q^{70} +(11.9995 + 8.71814i) q^{71} +(0.682351 - 1.77759i) q^{72} +(-6.01559 + 9.26320i) q^{73} +(-10.1430 + 5.85605i) q^{74} +(3.15540 + 4.17638i) q^{75} +5.52799i q^{76} +(-2.71710 - 10.3533i) q^{77} +(-0.723642 - 4.56890i) q^{78} +(4.65724 + 10.4603i) q^{79} +(-0.501632 + 2.17907i) q^{80} +(-0.308382 - 0.137300i) q^{81} +(5.29319 - 1.41830i) q^{82} +(-0.0505361 + 0.319072i) q^{83} +(-2.24915 + 1.61647i) q^{84} +(1.13296 - 0.413174i) q^{85} +(-5.31912 - 5.90748i) q^{86} +(6.06581 - 0.317896i) q^{87} +(4.04015 - 0.211735i) q^{88} +(-12.0900 - 13.4273i) q^{89} +(4.09340 + 1.17097i) q^{90} +(4.81002 - 10.6555i) q^{91} +(0.947727 - 5.98371i) q^{92} +(-4.61733 + 1.23721i) q^{93} +(-4.11217 - 1.83086i) q^{94} +(-12.3132 + 1.08509i) q^{95} +(-0.425803 - 0.956368i) q^{96} +(0.275934 + 1.74218i) q^{97} +(-6.99381 + 0.294347i) q^{98} -7.70322i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) $ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{20}\right)$

Coefficient data

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

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

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

$2$	0.998630	+	0.0523360i	0.706138	+	0.0370071i
$2$	0.998630	+	0.0523360i	0.706138	+	0.0370071i
$3$	−0.658820	−	0.813575i	−0.380370	−	0.469718i	0.550623	−	0.834754i	$-0.314390\pi$
$3$	−0.658820	−	0.813575i	−0.380370	−	0.469718i	−0.930993	+	0.365036i	$0.881057\pi$
$4$	0.994522	+	0.104528i	0.497261	+	0.0522642i
$5$	−0.0376149	+	2.23575i	−0.0168219	+	0.999859i
$5$	−0.0376149	+	2.23575i	−0.0168219	+	0.999859i
$6$	−0.615338	−	0.846940i	−0.251211	−	0.345762i
$7$	−0.124862	−	2.64280i	−0.0471934	−	0.998886i
$7$	−0.124862	−	2.64280i	−0.0471934	−	0.998886i
$8$	0.987688	+	0.156434i	0.349201	+	0.0553079i
$9$	0.395875	−	1.86244i	0.131958	−	0.620814i
$10$	−0.154574	+	2.23072i	−0.0488804	+	0.705415i
$11$	3.95729	−	0.841148i	1.19317	−	0.253616i	0.431820	−	0.901960i	$-0.357872\pi$
$11$	3.95729	−	0.841148i	1.19317	−	0.253616i	0.761347	+	0.648344i	$0.224538\pi$
$12$	−0.570169	−	0.877984i	−0.164594	−	0.253452i
$13$	3.93711	+	2.00606i	1.09196	+	0.556380i	0.904751	−	0.425941i	$-0.140057\pi$
$13$	3.93711	+	2.00606i	1.09196	+	0.556380i	0.187206	+	0.982321i	$0.440057\pi$
$14$	0.0136227	−	2.64572i	0.00364082	−	0.707097i
$15$	1.84373	−	1.44236i	0.476050	−	0.372415i
$16$	0.978148	+	0.207912i	0.244537	+	0.0519779i
$17$	−0.193274	−	0.503496i	−0.0468759	−	0.122116i	0.908144	−	0.418659i	$-0.137500\pi$
$17$	−0.193274	−	0.503496i	−0.0468759	−	0.122116i	−0.955020	+	0.296543i	$0.904166\pi$
$18$	0.492805	−	1.83917i	0.116155	−	0.433497i
$19$	0.577832	+	5.49771i	0.132564	+	1.26126i	0.835294	+	0.549804i	$0.185298\pi$
$19$	0.577832	+	5.49771i	0.132564	+	1.26126i	−0.702730	+	0.711457i	$0.748036\pi$
$20$	−0.271108	+	2.21957i	−0.0606217	+	0.496311i
$21$	−2.06786	+	1.84272i	−0.451244	+	0.402114i
$22$	3.99589	−	0.632887i	0.851926	−	0.134932i
$23$	0.317067	−	6.05000i	0.0661130	−	1.26151i	−0.741158	−	0.671331i	$-0.765723\pi$
$23$	0.317067	−	6.05000i	0.0661130	−	1.26151i	0.807271	−	0.590181i	$-0.200944\pi$
$24$	−0.523438	−	0.906621i	−0.106846	−	0.185063i
$25$	−4.99717	−	0.168195i	−0.999434	−	0.0336390i
$26$	3.82672	+	2.20936i	0.750482	+	0.433291i
$27$	−4.57437	+	2.33076i	−0.880337	+	0.448554i
$28$	0.152070	−	2.64138i	0.0287386	−	0.499173i
$29$	−3.41042	+	4.69404i	−0.633299	+	0.871661i	−0.998236	−	0.0593708i	$-0.981091\pi$
$29$	−3.41042	+	4.69404i	−0.633299	+	0.871661i	0.364937	+	0.931032i	$0.381091\pi$
$30$	1.91669	−	1.34389i	0.349939	−	0.245359i
$31$	1.85723	−	4.17140i	0.333568	−	0.749206i	−0.666425	−	0.745572i	$-0.732177\pi$
$31$	1.85723	−	4.17140i	0.333568	−	0.749206i	0.999993	−	0.00363419i	$-0.00115680\pi$
$32$	0.965926	+	0.258819i	0.170753	+	0.0457532i
$33$	−3.29148	−	2.66539i	−0.572973	−	0.463984i
$34$	−0.166658	−	0.512922i	−0.0285817	−	0.0879653i
$35$	5.91335	−	0.179752i	0.999538	−	0.0303836i
$36$	0.588384	−	1.81086i	0.0980640	−	0.301810i
$37$	−9.82260	+	6.37887i	−1.61483	+	1.04868i	−0.660106	+	0.751172i	$0.729489\pi$
$37$	−9.82260	+	6.37887i	−1.61483	+	1.04868i	−0.954719	+	0.297508i	$0.903844\pi$
$38$	0.289313	+	5.52041i	0.0469327	+	0.895529i
$39$	−0.961768	−	4.52476i	−0.154006	−	0.724542i
$40$	−0.386900	+	2.20234i	−0.0611743	+	0.348221i
$41$	5.21170	−	1.69338i	0.813931	−	0.264462i	0.127669	−	0.991817i	$-0.459250\pi$
$41$	5.21170	−	1.69338i	0.813931	−	0.264462i	0.686262	+	0.727355i	$0.259250\pi$
$42$	−2.16146	+	1.73197i	−0.333521	+	0.267248i
$43$	−5.62101	−	5.62101i	−0.857196	−	0.857196i	0.133811	−	0.991007i	$-0.457278\pi$
$43$	−5.62101	−	5.62101i	−0.857196	−	0.857196i	−0.991007	+	0.133811i	$0.957278\pi$
$44$	4.02353	−	0.422891i	0.606571	−	0.0637531i
$45$	4.14907	+	0.955133i	0.618507	+	0.142383i
$46$	0.633265	−	6.02511i	0.0933698	−	0.888354i
$47$	−4.20235	−	1.61313i	−0.612976	−	0.235299i	0.0320177	−	0.999487i	$-0.489807\pi$
$47$	−4.20235	−	1.61313i	−0.612976	−	0.235299i	−0.644994	+	0.764188i	$0.723140\pi$
$48$	−0.475272	−	0.932773i	−0.0685995	−	0.134634i
$49$	−6.96882	+	0.659972i	−0.995546	+	0.0942817i
$50$	−4.98152	−	0.429496i	−0.704493	−	0.0607399i
$51$	−0.282299	+	0.488957i	−0.0395298	+	0.0684676i
$52$	3.70585	+	2.40661i	0.513909	+	0.333736i
$53$	5.29334	−	4.28646i	0.727096	−	0.588790i	−0.192668	−	0.981264i	$-0.561714\pi$
$53$	5.29334	−	4.28646i	0.727096	−	0.588790i	0.919763	+	0.392474i	$0.128381\pi$
$54$	−4.69008	+	2.08816i	−0.638239	+	0.284162i
$55$	1.73174	+	8.87916i	0.233508	+	1.19727i
$56$	0.290101	−	2.62980i	0.0387663	−	0.351422i
$57$	4.09211	−	4.09211i	0.542013	−	0.542013i
$58$	−3.65141	+	4.50912i	−0.479454	+	0.592076i
$59$	−4.81396	+	5.34644i	−0.626724	+	0.696047i	−0.969977	−	0.243196i	$-0.921804\pi$
$59$	−4.81396	+	5.34644i	−0.626724	+	0.696047i	0.343254	+	0.939243i	$0.388471\pi$
$60$	1.98440	−	1.24173i	0.256185	−	0.160307i
$61$	−7.57057	+	6.81657i	−0.969312	+	0.872773i	−0.991906	−	0.126972i	$-0.959474\pi$
$61$	−7.57057	+	6.81657i	−0.969312	+	0.872773i	0.0225942	+	0.999745i	$0.492807\pi$
$62$	2.07300	−	4.06849i	0.263271	−	0.516698i
$63$	−4.97150	−	0.813670i	−0.626350	−	0.102513i
$64$	0.951057	+	0.309017i	0.118882	+	0.0386271i
$65$	−4.63314	+	8.72694i	−0.574670	+	1.08244i
$66$	−3.14747	−	2.83400i	−0.387427	−	0.348841i
$67$	3.93913	−	1.51209i	0.481241	−	0.184731i	−0.105640	−	0.994404i	$-0.533689\pi$
$67$	3.93913	−	1.51209i	0.481241	−	0.184731i	0.586881	+	0.809673i	$0.300356\pi$
$68$	−0.139586	−	0.520941i	−0.0169273	−	0.0631734i
$69$	−5.13102	+	3.72790i	−0.617702	+	0.448787i
$70$	5.91465	+	0.129975i	0.706936	+	0.0155350i
$71$	11.9995	+	8.71814i	1.42408	+	1.03465i	0.991081	+	0.133258i	$0.0425438\pi$
$71$	11.9995	+	8.71814i	1.42408	+	1.03465i	0.432997	+	0.901395i	$0.357456\pi$
$72$	0.682351	−	1.77759i	0.0804158	−	0.209490i
$73$	−6.01559	+	9.26320i	−0.704072	+	1.08418i	0.287893	+	0.957663i	$0.407045\pi$
$73$	−6.01559	+	9.26320i	−0.704072	+	1.08418i	−0.991965	+	0.126513i	$0.959622\pi$
$74$	−10.1430	+	5.85605i	−1.17910	+	0.680753i
$75$	3.15540	+	4.17638i	0.364354	+	0.482247i
$76$			5.52799i			0.634104i
$77$	−2.71710	−	10.3533i	−0.309643	−	1.17987i
$78$	−0.723642	−	4.56890i	−0.0819364	−	0.517326i
$79$	4.65724	+	10.4603i	0.523980	+	1.17688i	0.960778	+	0.277319i	$0.0894458\pi$
$79$	4.65724	+	10.4603i	0.523980	+	1.17688i	−0.436798	+	0.899560i	$0.643888\pi$
$80$	−0.501632	+	2.17907i	−0.0560841	+	0.243628i
$81$	−0.308382	−	0.137300i	−0.0342646	−	0.0152556i
$82$	5.29319	−	1.41830i	0.584535	−	0.156626i
$83$	−0.0505361	+	0.319072i	−0.00554705	+	0.0350227i	−0.990307	−	0.138899i	$-0.955644\pi$
$83$	−0.0505361	+	0.319072i	−0.00554705	+	0.0350227i	0.984760	+	0.173921i	$0.0556438\pi$
$84$	−2.24915	+	1.61647i	−0.245402	+	0.176372i
$85$	1.13296	−	0.413174i	0.122887	−	0.0448150i
$86$	−5.31912	−	5.90748i	−0.573576	−	0.637020i
$87$	6.06581	−	0.317896i	0.650323	−	0.0340820i
$88$	4.04015	−	0.211735i	0.430682	−	0.0225711i
$89$	−12.0900	−	13.4273i	−1.28154	−	1.42329i	−0.854835	−	0.518900i	$-0.826342\pi$
$89$	−12.0900	−	13.4273i	−1.28154	−	1.42329i	−0.426703	−	0.904392i	$-0.640325\pi$
$90$	4.09340	+	1.17097i	0.431482	+	0.123431i
$91$	4.81002	−	10.6555i	0.504227	−	1.11700i
$92$	0.947727	−	5.98371i	0.0988073	−	0.623845i
$93$	−4.61733	+	1.23721i	−0.478795	+	0.128293i
$94$	−4.11217	−	1.83086i	−0.424138	−	0.188838i
$95$	−12.3132	+	1.08509i	−1.26331	+	0.111328i
$96$	−0.425803	−	0.956368i	−0.0434583	−	0.0976090i
$97$	0.275934	+	1.74218i	0.0280168	+	0.176891i	0.997729	−	0.0673604i	$-0.0214577\pi$
$97$	0.275934	+	1.74218i	0.0280168	+	0.176891i	−0.969712	+	0.244252i	$0.921458\pi$
$98$	−6.99381	+	0.294347i	−0.706481	+	0.0297336i
$99$		−	7.70322i		−	0.774202i
$100$	−4.95221	−	0.689620i	−0.495221	−	0.0689620i
$101$	1.80570	−	1.04252i	0.179674	−	0.103735i	−0.407465	−	0.913221i	$-0.633587\pi$
$101$	1.80570	−	1.04252i	0.179674	−	0.103735i	0.587140	+	0.809486i	$0.300254\pi$
$102$	−0.307502	+	0.473512i	−0.0304473	+	0.0468847i
$103$	0.104102	−	0.271196i	0.0102575	−	0.0267217i	−0.928356	−	0.371692i	$-0.878778\pi$
$103$	0.104102	−	0.271196i	0.0102575	−	0.0267217i	0.938614	+	0.344970i	$0.112111\pi$
$104$	3.57482	+	2.59726i	0.350540	+	0.254682i
$105$	−4.04207	−	4.69253i	−0.394466	−	0.457944i
$106$	5.51042	−	4.00355i	0.535219	−	0.388859i
$107$	−0.463350	−	1.72925i	−0.0447937	−	0.167172i	0.939906	−	0.341434i	$-0.110913\pi$
$107$	−0.463350	−	1.72925i	−0.0447937	−	0.167172i	−0.984699	+	0.174262i	$0.944246\pi$
$108$	−4.79294	+	1.83984i	−0.461201	+	0.177038i
$109$	6.01813	+	5.41875i	0.576432	+	0.519022i	0.904974	−	0.425468i	$-0.139890\pi$
$109$	6.01813	+	5.41875i	0.576432	+	0.519022i	−0.328542	+	0.944490i	$0.606557\pi$
$110$	1.26467	+	8.95762i	0.120582	+	0.854075i
$111$	11.6610	+	3.78890i	1.10682	+	0.359626i
$112$	0.427336	−	2.61101i	0.0403795	−	0.246717i
$113$	4.39008	−	8.61601i	0.412984	−	0.810526i	−0.587016	−	0.809576i	$-0.699697\pi$
$113$	4.39008	−	8.61601i	0.412984	−	0.810526i	1.00000		0.000950921i	$-0.000302688\pi$
$114$	4.30067	−	3.87234i	0.402794	−	0.362678i
$115$	13.5144	+	0.936452i	1.26022	+	0.0873246i
$116$	−3.88240	+	4.31184i	−0.360472	+	0.400344i
$117$	5.29477	−	6.53849i	0.489502	−	0.604484i
$118$	−5.08717	+	5.08717i	−0.468312	+	0.468312i
$119$	−1.30651	+	0.573653i	−0.119768	+	0.0525867i
$120$	2.04667	−	1.13617i	0.186834	−	0.103718i
$121$	4.90361	−	2.18323i	0.445783	−	0.198475i
$122$	−7.91695	+	6.41102i	−0.716767	+	0.580426i
$123$	−4.81127	−	3.12448i	−0.433818	−	0.281725i
$124$	2.28308	−	3.95442i	0.205027	−	0.355117i
$125$	0.564010	−	11.1661i	0.0504466	−	0.998727i
$126$	−4.92210	−	1.07274i	−0.438496	−	0.0955676i
$127$	−4.73260	−	9.28825i	−0.419950	−	0.824199i	−0.999954	−	0.00958503i	$-0.996949\pi$
$127$	−4.73260	−	9.28825i	−0.419950	−	0.824199i	0.580004	−	0.814614i	$-0.303051\pi$
$128$	0.933580	+	0.358368i	0.0825176	+	0.0316756i
$129$	−0.869879	+	8.27634i	−0.0765886	+	0.728691i
$130$	−5.08352	+	8.47250i	−0.445854	+	0.743087i
$131$	−3.96877	+	0.417134i	−0.346753	+	0.0364452i	−0.276304	−	0.961070i	$-0.589110\pi$
$131$	−3.96877	+	0.417134i	−0.346753	+	0.0364452i	−0.0704486	+	0.997515i	$0.522443\pi$
$132$	−2.99484	−	2.99484i	−0.260667	−	0.260667i
$133$	14.4572	−	2.21355i	1.25360	−	0.191939i
$134$	4.01287	−	1.30386i	0.346659	−	0.112636i
$135$	−5.03893	−	10.3148i	−0.433682	−	0.887758i
$136$	−0.112130	−	0.527532i	−0.00961511	−	0.0452355i
$137$	−0.287799	−	5.49153i	−0.0245883	−	0.469173i	−0.982980	−	0.183715i	$-0.941188\pi$
$137$	−0.287799	−	5.49153i	−0.0245883	−	0.469173i	0.958391	−	0.285458i	$-0.0921456\pi$
$138$	−5.31909	+	3.45426i	−0.452791	+	0.294046i
$139$	2.45482	−	7.55516i	0.208215	−	0.640821i	−0.791351	−	0.611362i	$-0.790622\pi$
$139$	2.45482	−	7.55516i	0.208215	−	0.640821i	0.999566	−	0.0294583i	$-0.00937822\pi$
$140$	5.89974	+	0.439346i	0.498619	+	0.0371315i
$141$	1.45619	+	4.48169i	0.122633	+	0.377427i
$142$	11.5268	+	9.33420i	0.967306	+	0.783309i
$143$	17.2677	+	4.62686i	1.44399	+	0.386917i
$144$	0.774447	−	1.73944i	0.0645373	−	0.144953i
$145$	−10.3664	−	7.80142i	−0.860885	−	0.647873i
$146$	−6.49215	+	8.93567i	−0.537294	+	0.739521i
$147$	5.12814	+	5.23486i	0.422961	+	0.431764i
$148$	−10.4356	+	5.31719i	−0.857798	+	0.437070i
$149$	8.59141	+	4.96025i	0.703835	+	0.406360i	0.808774	−	0.588119i	$-0.200131\pi$
$149$	8.59141	+	4.96025i	0.703835	+	0.406360i	−0.104939	+	0.994479i	$0.533465\pi$
$150$	2.93250	+	4.33580i	0.239437	+	0.354017i
$151$	10.0768	+	17.4536i	0.820041	+	1.42035i	0.905651	+	0.424024i	$0.139383\pi$
$151$	10.0768	+	17.4536i	0.820041	+	1.42035i	−0.0856094	+	0.996329i	$0.527284\pi$
$152$	−0.289313	+	5.52041i	−0.0234664	+	0.447765i
$153$	−1.01425	+	0.160641i	−0.0819969	+	0.0129870i
$154$	−2.17153	−	10.4813i	−0.174987	−	0.844609i
$155$	9.25636	+	4.30921i	0.743489	+	0.346124i
$156$	−0.483533	−	4.60051i	−0.0387136	−	0.368336i
$157$	−1.72371	+	6.43298i	−0.137567	+	0.513407i	0.862407	+	0.506216i	$0.168956\pi$
$157$	−1.72371	+	6.43298i	−0.137567	+	0.513407i	−0.999974	+	0.00719199i	$0.997711\pi$
$158$	4.10340	+	10.6897i	0.326449	+	0.850429i
$159$	−6.97471	−	1.48252i	−0.553131	−	0.117572i
$160$	−0.614988	+	2.14983i	−0.0486191	+	0.169959i
$161$	−16.0285	−	0.0825304i	−1.26323	−	0.00650431i
$162$	−0.300773	−	0.153252i	−0.0236310	−	0.0120406i
$163$	1.56245	+	2.40597i	0.122381	+	0.188450i	0.894551	−	0.446966i	$-0.147495\pi$
$163$	1.56245	+	2.40597i	0.122381	+	0.188450i	−0.772170	+	0.635416i	$0.780829\pi$
$164$	5.36016	−	1.13934i	0.418558	−	0.0889673i
$165$	6.08295	−	7.25867i	0.473557	−	0.565087i
$166$	−0.0671658	+	0.315990i	−0.00521307	+	0.0245256i
$167$	0.911187	+	0.144318i	0.0705098	+	0.0111677i	0.191590	−	0.981475i	$-0.438636\pi$
$167$	0.911187	+	0.144318i	0.0705098	+	0.0111677i	−0.121080	+	0.992643i	$0.538636\pi$
$168$	−2.33066	+	1.49655i	−0.179815	+	0.115461i
$169$	3.83535	+	5.27891i	0.295027	+	0.406070i
$170$	1.15303	−	0.353313i	0.0884337	−	0.0270979i
$171$	10.4679	+	1.10022i	0.800502	+	0.0841361i
$172$	−5.00266	−	6.17777i	−0.381449	−	0.471051i
$173$	−20.1570	−	1.05639i	−1.53251	−	0.0803155i	−0.732694	−	0.680559i	$-0.761737\pi$
$173$	−20.1570	−	1.05639i	−1.53251	−	0.0803155i	−0.799818	+	0.600243i	$0.795071\pi$
$174$	6.07413			0.460479
$175$	0.179451	+	13.2275i	0.0135652	+	0.999908i
$176$	4.04570			0.304956
$177$	7.52126	+	0.394173i	0.565333	+	0.0296278i
$178$	−11.3707	−	14.0416i	−0.852270	−	1.05247i
$179$	−15.6407	−	1.64391i	−1.16904	−	0.122872i	−0.499954	−	0.866052i	$-0.666650\pi$
$179$	−15.6407	−	1.64391i	−1.16904	−	0.122872i	−0.669091	+	0.743181i	$0.733316\pi$
$180$	4.02650	+	1.38360i	0.300118	+	0.103127i
$181$	8.16798	+	11.2423i	0.607121	+	0.835631i	0.996337	−	0.0855158i	$-0.0272538\pi$
$181$	8.16798	+	11.2423i	0.607121	+	0.835631i	−0.389215	+	0.921147i	$0.627254\pi$
$182$	5.36109	−	10.3891i	0.397391	−	0.770095i
$183$	10.5334	+	1.66833i	0.778654	+	0.123327i
$184$	1.25959	−	5.92591i	0.0928583	−	0.436864i
$185$	−13.8921	−	22.2008i	−1.02137	−	1.63224i
$186$	−4.67575	+	0.993861i	−0.342843	+	0.0728735i
$187$	−1.18836	−	1.82991i	−0.0869012	−	0.133816i
$188$	−4.01071	−	2.04356i	−0.292511	−	0.149042i
$189$	6.73090	+	11.7981i	0.489601	+	0.858188i
$190$	−12.3532	+	0.439181i	−0.896192	+	0.0318616i
$191$	−13.0952	−	2.78347i	−0.947536	−	0.201405i	−0.291871	−	0.956458i	$-0.594278\pi$
$191$	−13.0952	−	2.78347i	−0.947536	−	0.201405i	−0.655664	+	0.755053i	$0.727611\pi$
$192$	−0.375167	−	0.977343i	−0.0270753	−	0.0705336i
$193$	−0.539376	+	2.01298i	−0.0388251	+	0.144897i	−0.982618	−	0.185641i	$-0.940564\pi$
$193$	−0.539376	+	2.01298i	−0.0388251	+	0.144897i	0.943792	+	0.330539i	$0.107230\pi$
$194$	0.184377	+	1.75423i	0.0132375	+	0.125946i
$195$	10.1524	−	1.98008i	0.727030	−	0.141796i
$196$	−6.99963	−	0.0720837i	−0.499973	−	0.00514883i
$197$	20.3161	−	3.21775i	1.44746	−	0.229255i	0.617276	−	0.786746i	$-0.288236\pi$
$197$	20.3161	−	3.21775i	1.44746	−	0.229255i	0.830183	+	0.557491i	$0.188236\pi$
$198$	0.403155	−	7.69266i	0.0286510	−	0.546693i
$199$	−2.07479	−	3.59364i	−0.147078	−	0.254747i	0.783068	−	0.621936i	$-0.213654\pi$
$199$	−2.07479	−	3.59364i	−0.147078	−	0.254747i	−0.930146	+	0.367189i	$0.880320\pi$
$200$	−4.90934	−	0.947854i	−0.347142	−	0.0670234i
$201$	−3.82538	−	2.20858i	−0.269821	−	0.155781i
$202$	1.85779	−	0.946592i	0.130714	−	0.0666020i
$203$	12.8313	+	8.42696i	0.900578	+	0.591457i
$204$	−0.331863	+	0.456770i	−0.0232350	+	0.0319803i
$205$	3.58995	+	11.7158i	0.250733	+	0.818265i
$206$	0.118153	−	0.265376i	0.00823211	−	0.0184896i
$207$	−11.1423	−	2.98556i	−0.774440	−	0.207511i
$208$	3.43399	+	2.78079i	0.238104	+	0.192813i
$209$	6.91103	+	21.2700i	0.478046	+	1.47127i
$210$	−3.79095	−	4.89764i	−0.261600	−	0.337970i
$211$	3.65164	−	11.2386i	0.251389	−	0.773696i	−0.743131	−	0.669146i	$-0.766660\pi$
$211$	3.65164	−	11.2386i	0.251389	−	0.773696i	0.994520	−	0.104549i	$-0.0333400\pi$
$212$	5.71240	−	3.70967i	0.392329	−	0.254781i
$213$	−0.812645	−	15.5062i	−0.0556815	−	1.06247i
$214$	−0.372213	−	1.75113i	−0.0254440	−	0.119704i
$215$	12.7786	−	12.3557i	0.871494	−	0.842655i
$216$	−4.88266	+	1.58647i	−0.332223	+	0.107946i
$217$	−11.2561	−	4.38744i	−0.764113	−	0.297839i
$218$	5.72628	+	5.72628i	0.387833	+	0.387833i
$219$	11.4995	−	1.20865i	0.777064	−	0.0816727i
$220$	0.794133	+	9.01153i	0.0535405	+	0.607557i
$221$	0.249101	−	2.37004i	0.0167564	−	0.159426i
$222$	11.4467	+	4.39399i	0.768255	+	0.294906i
$223$	−8.81614	−	17.3027i	−0.590373	−	1.15867i	−0.972137	−	0.234412i	$-0.924683\pi$
$223$	−8.81614	−	17.3027i	−0.590373	−	1.15867i	0.381765	−	0.924260i	$-0.375317\pi$
$224$	0.563400	−	2.58507i	0.0376438	−	0.172722i
$225$	−2.29151	+	9.24036i	−0.152767	+	0.616024i
$226$	4.83499	−	8.37445i	0.321619	−	0.557060i
$227$	−2.76367	−	1.79475i	−0.183431	−	0.119122i	0.449657	−	0.893201i	$-0.351546\pi$
$227$	−2.76367	−	1.79475i	−0.183431	−	0.119122i	−0.633088	+	0.774080i	$0.718213\pi$
$228$	4.49743	−	3.64195i	0.297850	−	0.241194i
$229$	10.4763	−	4.66433i	0.692290	−	0.308227i	−0.0302638	−	0.999542i	$-0.509635\pi$
$229$	10.4763	−	4.66433i	0.692290	−	0.308227i	0.722554	+	0.691315i	$0.242968\pi$
$230$	13.4468	+	1.64246i	0.886658	+	0.108300i
$231$	−6.63311	+	9.03154i	−0.436427	+	0.594232i
$232$	−4.10274	+	4.10274i	−0.269358	+	0.269358i
$233$	−4.02098	+	4.96550i	−0.263423	+	0.325301i	−0.891646	−	0.452733i	$-0.850449\pi$
$233$	−4.02098	+	4.96550i	−0.263423	+	0.325301i	0.628223	+	0.778033i	$0.283783\pi$
$234$	5.62971	−	6.25243i	0.368026	−	0.408734i
$235$	3.76463	−	9.33474i	0.245578	−	0.608931i
$236$	−5.34644	+	4.81396i	−0.348024	+	0.313362i
$237$	5.44198	−	10.6805i	0.353494	−	0.693772i
$238$	−1.33474	+	0.504490i	−0.0865184	+	0.0327012i
$239$	−2.66259	−	0.865128i	−0.172229	−	0.0559605i	0.221633	−	0.975130i	$-0.428861\pi$
$239$	−2.66259	−	0.865128i	−0.172229	−	0.0559605i	−0.393862	+	0.919170i	$0.628861\pi$
$240$	2.10333	−	1.02750i	0.135769	−	0.0663250i
$241$	6.27478	+	5.64984i	0.404194	+	0.363938i	0.846009	−	0.533168i	$-0.178999\pi$
$241$	6.27478	+	5.64984i	0.404194	+	0.363938i	−0.441815	+	0.897106i	$0.645665\pi$
$242$	5.01115	−	1.92360i	0.322129	−	0.123654i
$243$	4.07774	+	15.2183i	0.261587	+	0.976257i
$244$	−8.24162	+	5.98789i	−0.527616	+	0.383335i
$245$	−1.21340	−	15.6054i	−0.0775214	−	0.996991i
$246$	−4.64115	−	3.37200i	−0.295909	−	0.214991i
$247$	−8.75372	+	22.8042i	−0.556986	+	1.45100i
$248$	2.48691	−	3.82951i	0.157919	−	0.243174i
$249$	0.292883	−	0.169096i	0.0185607	−	0.0107160i
$250$	1.14763	−	11.1213i	0.0725822	−	0.703372i
$251$		−	16.6688i		−	1.05212i	−0.850447	−	0.526061i	$-0.823668\pi$
$251$		−	16.6688i		−	1.05212i	0.850447	−	0.526061i	$-0.176332\pi$
$252$	−4.85921	−	1.32888i	−0.306102	−	0.0837113i
$253$	−3.83422	−	24.2083i	−0.241055	−	1.52196i
$254$	−4.24000	−	9.52320i	−0.266042	−	0.597539i
$255$	−1.08257	−	0.649543i	−0.0677930	−	0.0406760i
$256$	0.913545	+	0.406737i	0.0570966	+	0.0254210i
$257$	11.2918	−	3.02563i	0.704365	−	0.188734i	0.111180	−	0.993800i	$-0.464537\pi$
$257$	11.2918	−	3.02563i	0.704365	−	0.188734i	0.593185	+	0.805066i	$0.297870\pi$
$258$	−1.30184	+	8.21948i	−0.0810488	+	0.511722i
$259$	18.0846	+	25.1627i	1.12372	+	1.56354i
$260$	−5.51997	+	8.19484i	−0.342334	+	0.508222i
$261$	7.39229	+	8.20997i	0.457571	+	0.508184i
$262$	−3.98516	+	0.208853i	−0.246204	+	0.0129030i
$263$	19.0809	−	0.999990i	1.17658	−	0.0616620i	0.546000	−	0.837785i	$-0.316150\pi$
$263$	19.0809	−	0.999990i	1.17658	−	0.0616620i	0.630581	+	0.776123i	$0.282817\pi$
$264$	−2.83400	−	3.14747i	−0.174420	−	0.193714i
$265$	9.38435	+	11.9958i	0.576476	+	0.736897i
$266$	14.5532	−	1.45389i	0.892317	−	0.0891435i
$267$	−2.95899	+	18.6823i	−0.181087	+	1.14334i
$268$	4.07561	−	1.09206i	0.248957	−	0.0667079i
$269$	−6.18972	−	2.75584i	−0.377394	−	0.168027i	0.209268	−	0.977858i	$-0.432892\pi$
$269$	−6.18972	−	2.75584i	−0.377394	−	0.168027i	−0.586662	+	0.809832i	$0.699558\pi$
$270$	−4.49219	−	10.5644i	−0.273386	−	0.642929i
$271$	−2.10047	−	4.71774i	−0.127595	−	0.286582i	0.838440	−	0.544993i	$-0.183468\pi$
$271$	−2.10047	−	4.71774i	−0.127595	−	0.286582i	−0.966035	+	0.258411i	$0.916801\pi$
$272$	−0.0843679	−	0.532678i	−0.00511555	−	0.0322983i
$273$	−11.8380	+	3.10674i	−0.716467	+	0.188028i
$274$		−	5.49906i		−	0.332210i
$275$	−19.9167	+	3.53776i	−1.20102	+	0.213335i
$276$	−5.49258	+	3.17114i	−0.330614	+	0.190880i
$277$	−14.1527	+	21.7932i	−0.850352	+	1.30943i	0.0989594	+	0.995091i	$0.468449\pi$
$277$	−14.1527	+	21.7932i	−0.850352	+	1.30943i	−0.949312	+	0.314336i	$0.898218\pi$
$278$	2.84686	−	7.41633i	0.170744	−	0.444802i
$279$	−7.03377	−	5.11033i	−0.421101	−	0.305948i
$280$	5.86866	+	0.747513i	0.350720	+	0.0446724i
$281$	−10.6245	+	7.71912i	−0.633802	+	0.460484i	−0.857715	−	0.514125i	$-0.828117\pi$
$281$	−10.6245	+	7.71912i	−0.633802	+	0.460484i	0.223913	+	0.974609i	$0.428117\pi$
$282$	1.21964	+	4.55176i	0.0726286	+	0.271053i
$283$	0.562826	−	0.216049i	0.0334565	−	0.0128428i	−0.341582	−	0.939852i	$-0.610963\pi$
$283$	0.562826	−	0.216049i	0.0334565	−	0.0128428i	0.375039	+	0.927009i	$0.377629\pi$
$284$	11.0225	+	9.92467i	0.654063	+	0.588921i
$285$	8.99502	+	9.30287i	0.532819	+	0.551054i
$286$	17.0019	+	5.52424i	1.00534	+	0.326655i
$287$	−5.12603	−	13.5621i	−0.302580	−	0.800543i
$288$	0.864421	−	1.69652i	0.0509365	−	0.0999685i
$289$	12.4173	−	11.1806i	0.730430	−	0.657682i
$290$	−9.94392	−	8.33326i	−0.583927	−	0.489346i
$291$	1.23560	−	1.37227i	0.0724322	−	0.0804441i
$292$	−6.95091	+	8.58365i	−0.406771	+	0.502320i
$293$	6.70588	−	6.70588i	0.391762	−	0.391762i	−0.483553	−	0.875315i	$-0.660654\pi$
$293$	6.70588	−	6.70588i	0.391762	−	0.391762i	0.875315	+	0.483553i	$0.160654\pi$
$294$	4.84714	+	5.49607i	0.282691	+	0.320537i
$295$	−11.7722	−	10.9639i	−0.685406	−	0.638344i
$296$	−10.6995	+	4.76374i	−0.621898	+	0.276887i
$297$	−16.1416	+	13.0712i	−0.936630	+	0.758468i
$298$	8.32003	+	5.40309i	0.481967	+	0.312993i
$299$	13.3850	−	23.1834i	0.774072	−	1.34073i
$300$	2.70156	+	4.48333i	0.155975	+	0.258845i
$301$	−14.1534	+	15.5571i	−0.815786	+	0.896694i
$302$	9.14958	+	17.9571i	0.526499	+	1.03331i
$303$	−2.03781	−	0.782240i	−0.117069	−	0.0449385i
$304$	−0.577832	+	5.49771i	−0.0331410	+	0.315315i
$305$	−14.9554	−	17.1823i	−0.856343	−	0.983857i
$306$	−1.02126	+	0.107339i	−0.0583817	+	0.00613617i
$307$	−18.5616	−	18.5616i	−1.05937	−	1.05937i	−0.998123	−	0.0612434i	$-0.980493\pi$
$307$	−18.5616	−	18.5616i	−1.05937	−	1.05937i	−0.0612434	−	0.998123i	$-0.519507\pi$
$308$	−1.62000	−	10.5806i	−0.0923083	−	0.602886i
$309$	−0.289223	+	0.0939742i	−0.0164533	+	0.00534601i
$310$	9.01815	+	4.78774i	0.512196	+	0.271925i
$311$	−4.22324	−	19.8688i	−0.239478	−	1.12666i	−0.919386	−	0.393358i	$-0.871313\pi$
$311$	−4.22324	−	19.8688i	−0.239478	−	1.12666i	0.679908	−	0.733298i	$-0.262020\pi$
$312$	−0.242098	−	4.61951i	−0.0137061	−	0.261528i
$313$	−27.5039	+	17.8613i	−1.55461	+	1.00958i	−0.572809	+	0.819689i	$0.694146\pi$
$313$	−27.5039	+	17.8613i	−1.55461	+	1.00958i	−0.981806	+	0.189889i	$0.939187\pi$
$314$	−2.05802	+	6.33395i	−0.116141	+	0.357445i
$315$	2.00617	−	11.0844i	0.113035	−	0.624537i
$316$	3.53832	+	10.8898i	0.199046	+	0.612601i
$317$	3.55415	+	2.87809i	0.199621	+	0.161650i	0.723919	−	0.689885i	$-0.242339\pi$
$317$	3.55415	+	2.87809i	0.199621	+	0.161650i	−0.524298	+	0.851535i	$0.675672\pi$
$318$	−6.88757	−	1.84552i	−0.386236	−	0.103491i
$319$	−9.54764	+	21.4443i	−0.534565	+	1.20065i
$320$	−0.726659	+	2.11470i	−0.0406215	+	0.118215i
$321$	−1.10161	+	1.51623i	−0.0614857	+	0.0846278i
$322$	−16.0023	−	0.921286i	−0.891771	−	0.0513413i
$323$	2.65640	−	1.35350i	0.147806	−	0.0753108i
$324$	−0.292341	−	0.168783i	−0.0162411	−	0.00937683i
$325$	−19.3370	−	10.6868i	−1.07262	−	0.592798i
$326$	1.43439	+	2.48444i	0.0794438	+	0.137601i
$327$	0.443694	−	8.46618i	0.0245363	−	0.468181i
$328$	5.41244	−	0.857247i	0.298852	−	0.0473335i
$329$	−3.73848	+	11.3074i	−0.206109	+	0.623398i
$330$	6.45450	−	6.93037i	0.355309	−	0.381504i
$331$	−1.60170	−	15.2391i	−0.0880372	−	0.837618i	−0.946057	−	0.324001i	$-0.894972\pi$
$331$	−1.60170	−	15.2391i	−0.0880372	−	0.837618i	0.858020	−	0.513617i	$-0.171695\pi$
$332$	−0.0836113	+	0.312042i	−0.00458877	+	0.0171255i
$333$	7.99177	+	20.8193i	0.437946	+	1.14089i
$334$	0.902385	+	0.191808i	0.0493763	+	0.0104953i
$335$	3.23249	+	8.86379i	0.176610	+	0.484281i
$336$	−2.40579	+	1.37252i	−0.131247	+	0.0748770i
$337$	14.1520	+	7.21082i	0.770910	+	0.392798i	0.794765	−	0.606917i	$-0.207594\pi$
$337$	14.1520	+	7.21082i	0.770910	+	0.392798i	−0.0238553	+	0.999715i	$0.507594\pi$
$338$	3.55382	+	5.47240i	0.193302	+	0.297659i
$339$	−9.90205	+	2.10475i	−0.537805	+	0.114314i
$340$	1.16994	−	0.292484i	0.0634492	−	0.0158622i
$341$	3.84082	−	18.0696i	0.207992	−	0.978526i
$342$	10.3960	+	1.64656i	0.562151	+	0.0890359i
$343$	2.61432	+	18.3348i	0.141160	+	0.989987i
$344$	−4.67248	−	6.43112i	−0.251923	−	0.346743i
$345$	−8.14166	−	11.6119i	−0.438332	−	0.625164i
$346$	−20.0741	−	2.10988i	−1.07919	−	0.113428i
$347$	−5.27526	−	6.51440i	−0.283191	−	0.349711i	0.615624	−	0.788040i	$-0.288904\pi$
$347$	−5.27526	−	6.51440i	−0.283191	−	0.349711i	−0.898815	+	0.438329i	$0.855571\pi$
$348$	6.06581	+	0.317896i	0.325161	+	0.0170410i
$349$	−3.15472			−0.168868			−0.0844342	−	0.996429i	$-0.526908\pi$
$349$	−3.15472			−0.168868			−0.0844342	+	0.996429i	$0.526908\pi$
$350$	−0.513071	+	13.2188i	−0.0274248	+	0.706575i
$351$	−22.6854			−1.21086
$352$	4.04015	+	0.211735i	0.215341	+	0.0112855i
$353$	15.5611	+	19.2163i	0.828233	+	1.02278i	0.999296	+	0.0375222i	$0.0119465\pi$
$353$	15.5611	+	19.2163i	0.828233	+	1.02278i	−0.171063	+	0.985260i	$0.554720\pi$
$354$	7.49033	+	0.787265i	0.398106	+	0.0418427i
$355$	−19.9430	+	26.5000i	−1.05846	+	1.40647i
$356$	−10.6202	−	14.6175i	−0.562871	−	0.774726i
$357$	1.32746	+	0.685009i	0.0702569	+	0.0362545i
$358$	−15.5333	−	2.46023i	−0.820959	−	0.130027i
$359$	1.83555	−	8.63559i	0.0968767	−	0.455769i	−0.902793	−	0.430075i	$-0.858487\pi$
$359$	1.83555	−	8.63559i	0.0968767	−	0.455769i	0.999670	−	0.0256940i	$-0.00817955\pi$
$360$	3.94857	+	1.59243i	0.208108	+	0.0839285i
$361$	−11.3061	+	2.40318i	−0.595057	+	0.126483i
$362$	7.56842	+	11.6543i	0.397787	+	0.612538i
$363$	−5.00682	−	2.55110i	−0.262790	−	0.133898i
$364$	5.89747	−	10.0943i	0.309111	−	0.529087i
$365$	−20.4839	−	13.7978i	−1.07218	−	0.722210i
$366$	10.4317	+	2.21732i	0.545273	+	0.115901i
$367$	4.82909	+	12.5802i	0.252077	+	0.656682i	0.999975	−	0.00713165i	$-0.00227009\pi$
$367$	4.82909	+	12.5802i	0.252077	+	0.656682i	−0.747898	+	0.663814i	$0.768937\pi$
$368$	1.56800	−	5.85187i	0.0817378	−	0.305050i
$369$	−1.09065	−	10.3769i	−0.0567771	−	0.540198i
$370$	−12.7112	−	22.8975i	−0.660822	−	1.19038i
$371$	−11.9892	−	13.4540i	−0.622449	−	0.698498i
$372$	−4.72136	+	0.747790i	−0.244791	+	0.0387711i
$373$	0.203995	−	3.89247i	0.0105625	−	0.201544i	−0.988251	−	0.152841i	$-0.951158\pi$
$373$	0.203995	−	3.89247i	0.0105625	−	0.201544i	0.998813	−	0.0487033i	$-0.0155089\pi$
$374$	−1.09096	−	1.88959i	−0.0564121	−	0.0977086i
$375$	−9.45605	+	6.89759i	−0.488308	+	0.356190i
$376$	−3.89826	−	2.25066i	−0.201038	−	0.116069i
$377$	−22.8437	+	11.6395i	−1.17651	+	0.599462i
$378$	6.10420	+	12.1342i	0.313966	+	0.624117i
$379$	−0.400656	+	0.551455i	−0.0205803	+	0.0283264i	−0.819183	−	0.573532i	$-0.805573\pi$
$379$	−0.400656	+	0.551455i	−0.0205803	+	0.0283264i	0.798603	+	0.601858i	$0.205573\pi$
$380$	−12.3592	−	0.207935i	−0.634014	−	0.0106668i
$381$	−4.43876	+	9.96961i	−0.227404	+	0.510759i
$382$	−12.9316	−	3.46501i	−0.661637	−	0.177285i
$383$	28.6410	+	23.1930i	1.46348	+	1.18511i	0.943697	+	0.330811i	$0.107322\pi$
$383$	28.6410	+	23.1930i	1.46348	+	1.18511i	0.519787	+	0.854296i	$0.326011\pi$
$384$	−0.323502	−	0.995638i	−0.0165087	−	0.0508084i
$385$	23.2496	−	5.68533i	1.18491	−	0.289751i
$386$	−0.643988	+	1.98199i	−0.0327781	+	0.100881i
$387$	−12.6940	+	8.24359i	−0.645273	+	0.419045i
$388$	0.0923150	+	1.76147i	0.00468658	+	0.0894253i
$389$	−1.04569	−	4.91958i	−0.0530185	−	0.249433i	0.943655	−	0.330931i	$-0.107363\pi$
$389$	−1.04569	−	4.91958i	−0.0530185	−	0.249433i	−0.996673	+	0.0814985i	$0.974029\pi$
$390$	10.2421	−	1.44603i	0.518631	−	0.0732224i
$391$	−3.10743	+	1.00967i	−0.157150	+	0.0510610i
$392$	−6.98626	−	0.438317i	−0.352860	−	0.0221384i
$393$	2.95407	+	2.95407i	0.149013	+	0.149013i
$394$	20.4566	−	2.15008i	1.03059	−	0.108319i
$395$	−23.5619	+	10.0190i	−1.18553	+	0.504109i
$396$	0.805205	−	7.66102i	0.0404631	−	0.384981i
$397$	11.1460	+	4.27856i	0.559403	+	0.214735i	0.621608	−	0.783329i	$-0.286480\pi$
$397$	11.1460	+	4.27856i	0.559403	+	0.214735i	−0.0622046	+	0.998063i	$0.519813\pi$
$398$	−1.88387	−	3.69731i	−0.0944299	−	0.185329i
$399$	−11.3256	−	10.3037i	−0.566989	−	0.515830i
$400$	−4.85300	−	1.20349i	−0.242650	−	0.0601745i
$401$	−0.0272096	+	0.0471284i	−0.00135878	+	0.00235348i	−0.866704	−	0.498823i	$-0.833766\pi$
$401$	−0.0272096	+	0.0471284i	−0.00135878	+	0.00235348i	0.865345	+	0.501176i	$0.167099\pi$
$402$	−3.70455	−	2.40576i	−0.184766	−	0.119988i
$403$	15.6802	−	12.6976i	0.781085	−	0.632510i
$404$	1.90479	−	0.848065i	0.0947666	−	0.0421928i
$405$	0.318569	−	0.684300i	0.0158298	−	0.0340032i
$406$	12.3726	+	9.08695i	0.614044	+	0.450978i
$407$	−33.5053	+	33.5053i	−1.66080	+	1.66080i
$408$	−0.355313	+	0.438775i	−0.0175906	+	0.0217226i
$409$	21.2566	−	23.6079i	1.05107	−	1.16734i	0.0655408	−	0.997850i	$-0.479123\pi$
$409$	21.2566	−	23.6079i	1.05107	−	1.16734i	0.985533	−	0.169485i	$-0.0542106\pi$
$410$	2.97187	+	11.8876i	0.146770	+	0.587087i
$411$	−4.27816	+	3.85207i	−0.211026	+	0.190009i
$412$	0.131880	−	0.258829i	0.00649725	−	0.0127516i
$413$	14.7307	+	12.0548i	0.724849	+	0.593177i
$414$	−10.9707	−	3.56461i	−0.539182	−	0.175191i
$415$	−0.711465	−	0.124988i	−0.0349245	−	0.00613542i
$416$	3.28375	+	2.95670i	0.160999	+	0.144964i
$417$	−7.76398	+	2.98031i	−0.380204	+	0.145947i
$418$	5.78838	+	21.6025i	0.283119	+	1.05661i
$419$	−8.70896	+	6.32743i	−0.425460	+	0.309115i	−0.779831	−	0.625990i	$-0.784695\pi$
$419$	−8.70896	+	6.32743i	−0.425460	+	0.309115i	0.354371	+	0.935105i	$0.384695\pi$
$420$	−3.52943	−	5.08934i	−0.172219	−	0.248334i
$421$	14.0848	+	10.2332i	0.686450	+	0.498735i	0.875491	−	0.483234i	$-0.160538\pi$
$421$	14.0848	+	10.2332i	0.686450	+	0.498735i	−0.189041	+	0.981969i	$0.560538\pi$
$422$	4.23481	−	11.0321i	0.206147	−	0.537033i
$423$	−4.66797	+	7.18804i	−0.226964	+	0.349495i
$424$	5.89872	−	3.40563i	0.286467	−	0.165392i
$425$	0.881138	+	2.54857i	0.0427415	+	0.123624i
$426$		−	15.5275i		−	0.752308i
$427$	18.9601	+	19.1564i	0.917545	+	0.927043i
$428$	−0.280056	−	1.76821i	−0.0135370	−	0.0854694i
$429$	−7.61199	−	17.0968i	−0.367510	−	0.825442i
$430$	13.4077	−	11.6700i	0.646579	−	0.562779i
$431$	22.8386	+	10.1684i	1.10010	+	0.489795i	0.874795	−	0.484493i	$-0.160996\pi$
$431$	22.8386	+	10.1684i	1.10010	+	0.489795i	0.225304	+	0.974289i	$0.427663\pi$
$432$	−4.95900	+	1.32876i	−0.238590	+	0.0639300i
$433$	−0.558264	+	3.52474i	−0.0268285	+	0.169388i	−0.997465	−	0.0711641i	$-0.977329\pi$
$433$	−0.558264	+	3.52474i	−0.0268285	+	0.169388i	0.970636	+	0.240552i	$0.0773286\pi$
$434$	−11.0110	−	4.97052i	−0.528547	−	0.238593i
$435$	0.482571	+	13.5736i	0.0231375	+	0.650804i
$436$	5.41875	+	6.01813i	0.259511	+	0.288216i
$437$	33.4443	−	1.75274i	1.59986	−	0.0838450i
$438$	11.5470	−	0.605152i	0.551737	−	0.0289153i
$439$	−15.1358	−	16.8101i	−0.722394	−	0.802300i	0.264377	−	0.964419i	$-0.414834\pi$
$439$	−15.1358	−	16.8101i	−0.722394	−	0.802300i	−0.986771	+	0.162119i	$0.948167\pi$
$440$	0.321418	+	9.04074i	0.0153230	+	0.431000i
$441$	−1.52962	+	13.2403i	−0.0728390	+	0.630490i
$442$	0.372798	−	2.35375i	0.0177322	−	0.111957i
$443$	−32.9420	+	8.82680i	−1.56512	+	0.419374i	−0.934281	−	0.356537i	$-0.883957\pi$
$443$	−32.9420	+	8.82680i	−1.56512	+	0.419374i	−0.630843	+	0.775911i	$0.717291\pi$
$444$	11.2011	+	4.98705i	0.531580	+	0.236675i
$445$	30.4749	−	26.5252i	1.44465	−	1.25741i
$446$	−7.89851	−	17.7403i	−0.374005	−	0.840030i
$447$	−1.62466	−	10.2577i	−0.0768436	−	0.485171i
$448$	0.697920	−	2.55204i	0.0329736	−	0.120573i
$449$		−	0.878256i		−	0.0414474i	−0.999785	−	0.0207237i	$-0.993403\pi$
$449$		−	0.878256i		−	0.0414474i	0.999785	−	0.0207237i	$-0.00659704\pi$
$450$	−2.77197	+	9.10777i	−0.130672	+	0.429344i
$451$	19.1998	−	11.0850i	0.904085	−	0.521973i
$452$	5.26665	−	8.10993i	0.247722	−	0.381459i
$453$	7.56099	−	19.6970i	0.355246	−	0.925448i
$454$	−2.66596	−	1.93693i	−0.125119	−	0.0909046i
$455$	23.6421	+	11.1548i	1.10836	+	0.522946i
$456$	4.68188	−	3.40158i	0.219249	−	0.159294i
$457$	6.11880	+	22.8357i	0.286225	+	1.06821i	0.947939	+	0.318451i	$0.103163\pi$
$457$	6.11880	+	22.8357i	0.286225	+	1.06821i	−0.661714	+	0.749756i	$0.730171\pi$
$458$	10.7060	−	4.10965i	0.500259	−	0.192031i
$459$	2.05763	+	1.85270i	0.0960422	+	0.0864767i
$460$	13.3424	+	2.34396i	0.622095	+	0.109288i
$461$	−3.37883	−	1.09785i	−0.157368	−	0.0511319i	0.229274	−	0.973362i	$-0.426365\pi$
$461$	−3.37883	−	1.09785i	−0.157368	−	0.0511319i	−0.386641	+	0.922230i	$0.626365\pi$
$462$	−7.09670	+	8.67201i	−0.330168	+	0.403458i
$463$	11.0700	−	21.7260i	0.514464	−	1.00969i	−0.476949	−	0.878931i	$-0.658257\pi$
$463$	11.0700	−	21.7260i	0.514464	−	1.00969i	0.991414	−	0.130762i	$-0.0417425\pi$
$464$	−4.31184	+	3.88240i	−0.200172	+	0.180236i
$465$	−2.59241	−	10.3697i	−0.120220	−	0.480885i
$466$	−4.27534	+	4.74825i	−0.198052	+	0.219959i
$467$	16.7260	−	20.6549i	0.773987	−	0.955795i	−0.225844	−	0.974164i	$-0.572514\pi$
$467$	16.7260	−	20.6549i	0.773987	−	0.955795i	0.999831	+	0.0183686i	$0.00584723\pi$
$468$	5.94922	−	5.94922i	0.275003	−	0.275003i
$469$	−4.48801	−	10.2215i	−0.207237	−	0.471987i
$470$	4.24802	−	9.12492i	0.195946	−	0.420901i
$471$	6.36933	−	2.83581i	0.293483	−	0.130667i
$472$	−5.59106	+	4.52755i	−0.257349	+	0.208397i
$473$	−26.9720	−	17.5159i	−1.24018	−	0.805380i
$474$	5.99349	−	10.3810i	0.275290	−	0.476817i
$475$	−1.96284	−	27.5702i	−0.0900612	−	1.26501i
$476$	−1.35932	+	0.433943i	−0.0623041	+	0.0198898i
$477$	−5.88779	−	11.5554i	−0.269583	−	0.529087i
$478$	−2.61366	−	1.00329i	−0.119546	−	0.0458895i
$479$	0.989975	−	9.41898i	0.0452331	−	0.430364i	−0.948347	−	0.317235i	$-0.897246\pi$
$479$	0.989975	−	9.41898i	0.0452331	−	0.430364i	0.993580	−	0.113130i	$-0.0360876\pi$
$480$	2.15422	−	0.916015i	0.0983262	−	0.0418102i
$481$	−51.4690	+	5.40961i	−2.34679	+	0.246657i
$482$	5.97049	+	5.97049i	0.271948	+	0.271948i
$483$	10.4928	+	13.0948i	0.477438	+	0.595834i
$484$	5.10495	−	1.65870i	0.232043	−	0.0753955i
$485$	−3.90545	+	0.551387i	−0.177337	+	0.0250372i
$486$	3.27569	+	15.4109i	0.148588	+	0.699052i
$487$	1.76907	+	33.7558i	0.0801641	+	1.52962i	0.682207	+	0.731159i	$0.261020\pi$
$487$	1.76907	+	33.7558i	0.0801641	+	1.52962i	−0.602043	+	0.798464i	$0.705646\pi$
$488$	−8.54371	+	5.54835i	−0.386756	+	0.251162i
$489$	0.928060	−	2.85628i	0.0419683	−	0.129165i
$490$	−0.395016	−	15.6475i	−0.0178450	−	0.706882i
$491$	−4.95490	−	15.2496i	−0.223611	−	0.688205i	−0.998430	−	0.0560210i	$-0.982159\pi$
$491$	−4.95490	−	15.2496i	−0.223611	−	0.688205i	0.774818	−	0.632184i	$-0.217841\pi$
$492$	−4.45832	−	3.61027i	−0.200996	−	0.162764i
$493$	3.02258	+	0.809898i	0.136130	+	0.0364760i
$494$	−9.93521	+	22.3148i	−0.447006	+	1.00399i
$495$	17.2225	+	0.289755i	0.774093	+	0.0130235i
$496$	2.68393	−	3.69411i	0.120512	−	0.165870i
$497$	21.5421	−	32.8009i	0.966293	−	1.47132i
$498$	0.301332	−	0.153536i	0.0135030	−	0.00688012i
$499$	−11.0279	−	6.36698i	−0.493678	−	0.285025i	0.232421	−	0.972615i	$-0.425335\pi$
$499$	−11.0279	−	6.36698i	−0.493678	−	0.285025i	−0.726099	+	0.687590i	$0.758669\pi$
$500$	1.72810	−	11.0460i	0.0772828	−	0.493991i
$501$	−0.482895	−	0.836399i	−0.0215742	−	0.0373675i
$502$	0.872375	−	16.6459i	0.0389360	−	0.742943i
$503$	5.72052	−	0.906041i	0.255065	−	0.0403984i	−0.0275923	−	0.999619i	$-0.508784\pi$
$503$	5.72052	−	0.906041i	0.255065	−	0.0403984i	0.282657	+	0.959221i	$0.408784\pi$
$504$	−4.78301	−	1.58137i	−0.213052	−	0.0704397i
$505$	2.26290	+	4.07632i	0.100698	+	0.181394i
$506$	−2.56200	−	24.3758i	−0.113895	−	1.08364i
$507$	1.76798	−	6.59820i	0.0785188	−	0.293036i
$508$	−3.73579	−	9.73206i	−0.165749	−	0.431790i
$509$	43.3682	+	9.21819i	1.92226	+	0.408589i	0.999744	+	0.0226346i	$0.00720545\pi$
$509$	43.3682	+	9.21819i	1.92226	+	0.408589i	0.922518	+	0.385955i	$0.126128\pi$
$510$	−1.04709	−	0.705310i	−0.0463659	−	0.0312317i
$511$	25.2319	+	14.7414i	1.11619	+	0.652121i
$512$	0.891007	+	0.453990i	0.0393773	+	0.0200637i
$513$	−15.4570	−	23.8017i	−0.682445	−	1.05087i
$514$	11.4347	−	2.43052i	0.504363	−	0.107206i
$515$	0.602411	+	0.242948i	0.0265454	+	0.0107056i
$516$	−1.73023	+	8.14008i	−0.0761690	+	0.358347i
$517$	−17.9868	−	2.84883i	−0.791059	−	0.125291i
$518$	16.7429	+	26.0747i	0.735640	+	1.14566i
$519$	12.4204	+	17.0952i	0.545196	+	0.750398i
$520$	−5.94129	+	7.89471i	−0.260543	+	0.346206i
$521$	25.1858	+	2.64714i	1.10341	+	0.115973i	0.638675	−	0.769476i	$-0.279483\pi$
$521$	25.1858	+	2.64714i	1.10341	+	0.115973i	0.464736	+	0.885449i	$0.346149\pi$
$522$	6.95248	+	8.58560i	0.304302	+	0.375781i
$523$	20.5675	+	1.07790i	0.899355	+	0.0471332i	0.496407	−	0.868090i	$-0.334652\pi$
$523$	20.5675	+	1.07790i	0.899355	+	0.0471332i	0.402948	+	0.915223i	$0.367986\pi$
$524$	−3.99063			−0.174331
$525$	10.6434	−	8.86057i	0.464515	−	0.386707i
$526$	19.1071			0.833110
$527$	−2.45924	−	0.128883i	−0.107126	−	0.00561424i
$528$	−2.66539	−	3.29148i	−0.115996	−	0.143243i
$529$	−13.6279	−	1.43235i	−0.592518	−	0.0622761i
$530$	8.74368	+	12.4705i	0.379801	+	0.541685i
$531$	8.05172	+	11.0822i	0.349415	+	0.480928i
$532$	14.6094	−	0.690236i	0.633397	−	0.0299255i
$533$	23.9161	+	3.78793i	1.03592	+	0.164074i
$534$	−3.93269	+	18.5018i	−0.170184	+	0.800653i
$535$	3.88359	−	0.970890i	0.167902	−	0.0419752i
$536$	4.12718	−	0.877258i	0.178267	−	0.0378918i
$537$	8.96700	+	13.8080i	0.386954	+	0.595858i
$538$	−6.03701	−	3.07601i	−0.260274	−	0.132616i
$539$	−27.0225	+	8.47351i	−1.16394	+	0.364980i
$540$	−3.93313	−	10.7850i	−0.169255	−	0.464114i
$541$	−23.2506	−	4.94206i	−0.999620	−	0.212476i	−0.321090	−	0.947049i	$-0.604049\pi$
$541$	−23.2506	−	4.94206i	−0.999620	−	0.212476i	−0.678530	+	0.734573i	$0.737383\pi$
$542$	−1.85069	−	4.82120i	−0.0794937	−	0.207088i
$543$	3.76520	−	14.0519i	0.161580	−	0.603025i
$544$	−0.0563740	−	0.536363i	−0.00241702	−	0.0229964i
$545$	−12.3413	+	13.2512i	−0.528645	+	0.567620i
$546$	−11.9843	+	2.48293i	−0.512883	+	0.106259i
$547$	−24.6287	+	3.90080i	−1.05305	+	0.166786i	−0.658876	−	0.752251i	$-0.728968\pi$
$547$	−24.6287	+	3.90080i	−1.05305	+	0.166786i	−0.394170	+	0.919037i	$0.628968\pi$
$548$	0.287799	−	5.49153i	0.0122942	−	0.234586i
$549$	9.69848	+	16.7983i	0.413921	+	0.716932i
$550$	−20.0746	+	2.49055i	−0.855983	+	0.106198i
$551$	−27.7771	−	16.0371i	−1.18334	−	0.683204i
$552$	−5.65102	+	2.87934i	−0.240523	+	0.122553i
$553$	27.0631	−	13.6143i	1.15084	−	0.578937i
$554$	−15.2739	+	21.0227i	−0.648924	+	0.893167i
$555$	−8.90966	+	25.9286i	−0.378194	+	1.10061i
$556$	3.23110	−	7.25718i	0.137029	−	0.307773i
$557$	1.65861	+	0.444423i	0.0702775	+	0.0188308i	0.293786	−	0.955871i	$-0.405085\pi$
$557$	1.65861	+	0.444423i	0.0702775	+	0.0188308i	−0.223509	+	0.974702i	$0.571751\pi$
$558$	−6.75668	−	5.47145i	−0.286033	−	0.231625i
$559$	−10.8545	−	33.4066i	−0.459094	−	1.41295i
$560$	5.82150	+	1.05363i	0.246003	+	0.0445240i
$561$	−0.705855	+	2.17240i	−0.0298012	+	0.0917187i
$562$	−11.0139	+	7.15250i	−0.464593	+	0.301710i
$563$	1.23184	+	23.5048i	0.0519157	+	0.990611i	0.893099	+	0.449861i	$0.148526\pi$
$563$	1.23184	+	23.5048i	0.0519157	+	0.990611i	−0.841183	+	0.540750i	$0.818140\pi$
$564$	0.979749	+	4.60936i	0.0412549	+	0.194089i
$565$	19.0981	+	10.1392i	0.803465	+	0.426560i
$566$	0.573362	−	0.186297i	0.0241002	−	0.00783063i
$567$	−0.324353	+	0.832136i	−0.0136215	+	0.0349464i
$568$	10.4879	+	10.4879i	0.440064	+	0.440064i
$569$	21.1878	−	2.22693i	0.888239	−	0.0933577i	0.350592	−	0.936528i	$-0.385980\pi$
$569$	21.1878	−	2.22693i	0.888239	−	0.0933577i	0.537646	+	0.843170i	$0.319314\pi$
$570$	8.49582	+	9.76088i	0.355851	+	0.408838i
$571$	2.96447	−	28.2051i	0.124059	−	1.18035i	−0.738451	−	0.674307i	$-0.764443\pi$
$571$	2.96447	−	28.2051i	0.124059	−	1.18035i	0.862511	−	0.506039i	$-0.168891\pi$
$572$	16.6894	+	6.40647i	0.697820	+	0.267868i
$573$	6.36282	+	12.4877i	0.265811	+	0.521683i
$574$	−4.40922	−	13.8118i	−0.184037	−	0.576492i
$575$	−2.60202	+	30.1795i	−0.108512	+	1.25857i
$576$	0.952026	−	1.64896i	0.0396677	−	0.0687065i
$577$	12.1972	+	7.92095i	0.507776	+	0.329753i	0.772971	−	0.634441i	$-0.218770\pi$
$577$	12.1972	+	7.92095i	0.507776	+	0.329753i	−0.265195	+	0.964195i	$0.585436\pi$
$578$	12.9854	−	10.5154i	0.540123	−	0.437383i
$579$	1.99306	−	0.887368i	0.0828288	−	0.0368777i
$580$	−9.49417	−	8.84227i	−0.394224	−	0.367155i
$581$	0.849555	+	0.0937169i	0.0352455	+	0.00388803i
$582$	1.30573	−	1.30573i	0.0541241	−	0.0541241i
$583$	17.3417	−	21.4152i	0.718221	−	0.886928i
$584$	−7.39061	+	8.20811i	−0.305826	+	0.339654i
$585$	14.4193	+	12.0837i	0.596164	+	0.499601i
$586$	7.04765	−	6.34573i	0.291136	−	0.262140i
$587$	10.0946	−	19.8117i	0.416648	−	0.817718i	−0.583337	−	0.812230i	$-0.698253\pi$
$587$	10.0946	−	19.8117i	0.416648	−	0.817718i	0.999985	−	0.00548735i	$-0.00174669\pi$
$588$	4.55285	+	5.74221i	0.187756	+	0.236805i
$589$	24.0063	+	7.80012i	0.989163	+	0.321398i
$590$	−11.1823	−	11.5650i	−0.460368	−	0.476124i
$591$	−16.0025	−	14.4087i	−0.658255	−	0.592696i
$592$	−10.9342	+	4.19724i	−0.449393	+	0.172506i
$593$	2.01227	+	7.50991i	0.0826342	+	0.308395i	0.994856	−	0.101302i	$-0.0323010\pi$
$593$	2.01227	+	7.50991i	0.0826342	+	0.308395i	−0.912221	+	0.409697i	$0.865634\pi$
$594$	−16.8036	+	12.2085i	−0.689458	+	0.500921i
$595$	−1.23340	−	2.94261i	−0.0505645	−	0.120635i
$596$	8.02585	+	5.83112i	0.328752	+	0.238852i
$597$	−1.55679	+	4.05556i	−0.0637150	+	0.165983i
$598$	14.5799	−	22.4511i	0.596218	−	0.918096i
$599$	39.0207	−	22.5286i	1.59434	−	0.920494i	0.601793	−	0.798652i	$-0.294453\pi$
$599$	39.0207	−	22.5286i	1.59434	−	0.920494i	0.992549	−	0.121843i	$-0.0388803\pi$
$600$	2.46322	+	4.61858i	0.100560	+	0.188553i
$601$		−	29.8338i		−	1.21695i	−0.793574	−	0.608474i	$-0.791782\pi$
$601$		−	29.8338i		−	1.21695i	0.793574	−	0.608474i	$-0.208218\pi$
$602$	−14.9482	+	14.7950i	−0.609242	+	0.603000i
$603$	−1.25678	−	7.93501i	−0.0511801	−	0.323138i
$604$	8.19724	+	18.4113i	0.333541	+	0.749145i
$605$	4.69670	+	11.0454i	0.190948	+	0.449058i
$606$	−1.99407	−	0.887819i	−0.0810037	−	0.0360652i
$607$	5.39352	−	1.44519i	0.218916	−	0.0586585i	−0.147694	−	0.989033i	$-0.547185\pi$
$607$	5.39352	−	1.44519i	0.218916	−	0.0586585i	0.366610	+	0.930375i	$0.380518\pi$
$608$	−0.864768	+	5.45993i	−0.0350710	+	0.221429i
$609$	−1.59752	−	15.9910i	−0.0647350	−	0.647990i
$610$	−14.0356	−	17.9415i	−0.568287	−	0.726429i
$611$	−13.3091	−	14.7812i	−0.538428	−	0.597985i
$612$	−1.02548	+	0.0537432i	−0.0414526	+	0.00217244i
$613$	−8.13375	+	0.426272i	−0.328519	+	0.0172170i	−0.215883	−	0.976419i	$-0.569263\pi$
$613$	−8.13375	+	0.426272i	−0.328519	+	0.0172170i	−0.112636	+	0.993636i	$0.535930\pi$
$614$	−17.5647	−	19.5076i	−0.708854	−	0.787263i
$615$	7.16653	−	10.6393i	0.288982	−	0.429017i
$616$	−1.06404	−	10.6509i	−0.0428713	−	0.429137i
$617$	1.12480	−	7.10172i	0.0452828	−	0.285904i	−0.954647	−	0.297739i	$-0.903767\pi$
$617$	1.12480	−	7.10172i	0.0452828	−	0.285904i	0.999930	+	0.0118351i	$0.00376732\pi$
$618$	−0.293745	+	0.0787087i	−0.0118161	+	0.00316613i
$619$	−10.7070	−	4.76705i	−0.430349	−	0.191604i	0.180118	−	0.983645i	$-0.442352\pi$
$619$	−10.7070	−	4.76705i	−0.430349	−	0.191604i	−0.610468	+	0.792041i	$0.709019\pi$
$620$	8.75522	+	5.25315i	0.351618	+	0.210972i
$621$	12.6507	+	28.4139i	0.507655	+	1.14021i
$622$	−3.17760	−	20.0626i	−0.127410	−	0.804436i
$623$	−33.9762	+	33.6281i	−1.36123	+	1.34728i
$624$		−	4.62585i		−	0.185182i
$625$	24.9434	+	1.68100i	0.997737	+	0.0672399i
$626$	−28.4010	+	16.3973i	−1.13513	+	0.655370i
$627$	12.7516	−	19.6357i	0.509250	−	0.784176i
$628$	−2.38670	+	6.21756i	−0.0952396	+	0.248108i
$629$	5.11019	+	3.71277i	0.203757	+	0.148038i
$630$	2.58353	−	10.9642i	0.102930	−	0.436826i
$631$	−31.2236	+	22.6852i	−1.24299	+	0.903085i	−0.997794	−	0.0663879i	$-0.978853\pi$
$631$	−31.2236	+	22.6852i	−1.24299	+	0.903085i	−0.245197	+	0.969473i	$0.578853\pi$
$632$	2.96354	+	11.0601i	0.117883	+	0.439947i
$633$	−11.5492	+	4.43332i	−0.459039	+	0.176209i
$634$	3.39865	+	3.06016i	0.134978	+	0.121534i
$635$	20.9442	−	10.2315i	0.831147	−	0.406026i
$636$	−6.78154	−	2.20346i	−0.268906	−	0.0873727i
$637$	−28.7609	−	11.3815i	−1.13955	−	0.450950i
$638$	−10.6569	+	20.9153i	−0.421909	+	0.828043i
$639$	20.9873	−	18.8971i	0.830246	−	0.747557i
$640$	−0.836338	+	2.07377i	−0.0330592	+	0.0819731i
$641$	−17.3400	+	19.2580i	−0.684888	+	0.760645i	−0.980894	−	0.194541i	$-0.937678\pi$
$641$	−17.3400	+	19.2580i	−0.684888	+	0.760645i	0.296006	+	0.955186i	$0.404345\pi$
$642$	−1.17945	+	1.45650i	−0.0465492	+	0.0574835i
$643$	−24.0750	+	24.0750i	−0.949426	+	0.949426i	−0.998781	−	0.0493553i	$-0.984283\pi$
$643$	−24.0750	+	24.0750i	−0.949426	+	0.949426i	0.0493553	+	0.998781i	$0.484283\pi$
$644$	−15.9321	−	1.75752i	−0.627813	−	0.0692559i
$645$	−18.4711	−	2.25615i	−0.727300	−	0.0888357i
$646$	2.72359	−	1.21262i	0.107158	−	0.0477099i
$647$	20.1719	−	16.3349i	0.793041	−	0.642192i	−0.144721	−	0.989473i	$-0.546228\pi$
$647$	20.1719	−	16.3349i	0.793041	−	0.642192i	0.937761	+	0.347281i	$0.112895\pi$
$648$	−0.283106	−	0.183851i	−0.0111215	−	0.00722237i
$649$	−14.5531	+	25.2067i	−0.571258	+	0.989448i
$650$	−18.7512	−	11.6842i	−0.735482	−	0.458291i
$651$	3.84623	+	12.0482i	0.150746	+	0.472207i
$652$	1.30240	+	2.55611i	0.0510060	+	0.100105i
$653$	15.0681	+	5.78410i	0.589661	+	0.226349i	0.634858	−	0.772629i	$-0.281058\pi$
$653$	15.0681	+	5.78410i	0.589661	+	0.226349i	−0.0451978	+	0.998978i	$0.514392\pi$
$654$	0.886171	−	8.43135i	0.0346520	−	0.329692i
$655$	−0.783324	−	8.88887i	−0.0306070	−	0.347317i
$656$	5.44989	−	0.572806i	0.212782	−	0.0223643i
$657$	14.8708	+	14.8708i	0.580164	+	0.580164i
$658$	−4.32514	+	11.0963i	−0.168611	+	0.432577i
$659$	−43.0670	+	13.9933i	−1.67765	+	0.545102i	−0.984454	−	0.175644i	$-0.943799\pi$
$659$	−43.0670	+	13.9933i	−1.67765	+	0.545102i	−0.693199	+	0.720747i	$0.743799\pi$
$660$	6.80837	−	6.58307i	0.265015	−	0.256245i
$661$	−8.35134	−	39.2900i	−0.324829	−	1.52820i	−0.773088	−	0.634299i	$-0.781289\pi$
$661$	−8.35134	−	39.2900i	−0.324829	−	1.52820i	0.448259	−	0.893904i	$-0.352044\pi$
$662$	−0.801947	−	15.3021i	−0.0311686	−	0.594732i
$663$	−2.09232	+	1.35877i	−0.0812589	+	0.0527701i
$664$	−0.0998278	+	0.307238i	−0.00387407	+	0.0119232i
$665$	4.40515	+	32.4060i	0.170824	+	1.25665i
$666$	6.89122	+	21.2090i	0.267029	+	0.821832i
$667$	27.3176	+	22.1214i	1.05774	+	0.856542i
$668$	0.891110	+	0.238772i	0.0344781	+	0.00923838i
$669$	−8.26876	+	18.5719i	−0.319689	+	0.718033i
$670$	2.76416	+	9.02082i	0.106789	+	0.348505i
$671$	−24.2252	+	33.3431i	−0.935203	+	1.28720i
$672$	−2.47433	+	1.24473i	−0.0954492	+	0.0480164i
$673$	−21.3983	+	10.9030i	−0.824843	+	0.420279i	−0.814850	−	0.579671i	$-0.803181\pi$
$673$	−21.3983	+	10.9030i	−0.824843	+	0.420279i	−0.00999310	+	0.999950i	$0.503181\pi$
$674$	13.7552	+	7.94159i	0.529832	+	0.305899i
$675$	23.2509	−	10.8778i	0.894928	−	0.418687i
$676$	3.26254	+	5.65089i	0.125482	+	0.217342i
$677$	1.11652	−	21.3044i	0.0429112	−	0.818794i	−0.889398	−	0.457133i	$-0.848876\pi$
$677$	1.11652	−	21.3044i	0.0429112	−	0.818794i	0.932310	−	0.361661i	$-0.117790\pi$
$678$	−9.99863	+	1.58363i	−0.383995	+	0.0608189i
$679$	4.56977	−	0.946770i	0.175372	−	0.0363337i
$680$	1.18365	−	0.230853i	0.0453909	−	0.00885280i
$681$	0.360599	+	3.43087i	0.0138182	+	0.131471i
$682$	4.78125	−	17.8439i	0.183084	−	0.683277i
$683$	0.965151	+	2.51430i	0.0369305	+	0.0962072i	0.950806	−	0.309788i	$-0.100258\pi$
$683$	0.965151	+	2.51430i	0.0369305	+	0.0962072i	−0.913875	+	0.405996i	$0.866925\pi$
$684$	10.2956	+	2.18839i	0.393661	+	0.0836752i
$685$	12.2885	−	0.436883i	0.469520	−	0.0166925i
$686$	1.65116	+	18.4465i	0.0630417	+	0.704291i
$687$	−10.6967	−	5.45026i	−0.408106	−	0.207941i
$688$	−4.32950	−	6.66685i	−0.165061	−	0.254171i
$689$	29.4393	−	6.25752i	1.12155	−	0.238393i
$690$	−7.52278	−	12.0221i	−0.286387	−	0.457673i
$691$	−2.06240	+	9.70283i	−0.0784574	+	0.369113i	−0.999807	−	0.0196208i	$-0.993754\pi$
$691$	−2.06240	+	9.70283i	−0.0784574	+	0.369113i	0.921350	+	0.388734i	$0.127087\pi$
$692$	−19.9362	−	3.15758i	−0.757860	−	0.120033i
$693$	−20.3581	+	0.961839i	−0.773340	+	0.0365373i
$694$	−4.92709	−	6.78156i	−0.187030	−	0.257424i
$695$	16.7991	+	5.77256i	0.637227	+	0.218966i
$696$	6.04086	+	0.634920i	0.228978	+	0.0240666i
$697$	−1.85990	−	2.29679i	−0.0704488	−	0.0869970i
$698$	−3.15040	−	0.165105i	−0.119244	−	0.00624933i
$699$	6.68891			0.252998
$700$	−1.20419	+	13.1738i	−0.0455140	+	0.497924i
$701$	32.6138			1.23181			0.615903	−	0.787822i	$-0.288791\pi$
$701$	32.6138			1.23181			0.615903	+	0.787822i	$0.288791\pi$
$702$	−22.6543	−	1.18726i	−0.855032	−	0.0448103i
$703$	−40.7450	−	50.3159i	−1.53673	−	1.89770i
$704$	4.02353	+	0.422891i	0.151643	+	0.0159383i
$705$	−10.0747	+	3.08710i	−0.379436	+	0.116267i
$706$	14.5340	+	20.0044i	0.546996	+	0.752876i
$707$	−2.98065	−	4.64195i	−0.112099	−	0.174578i
$708$	7.43886	+	1.17820i	0.279569	+	0.0442794i
$709$	3.68085	−	17.3170i	0.138237	−	0.650355i	−0.853396	−	0.521264i	$-0.825461\pi$
$709$	3.68085	−	17.3170i	0.138237	−	0.650355i	0.991633	−	0.129091i	$-0.0412059\pi$
$710$	−21.3025	+	25.4199i	−0.799470	+	0.953992i
$711$	21.3254	−	4.53286i	0.799766	−	0.169996i
$712$	−9.84066	−	15.1533i	−0.368794	−	0.567894i
$713$	−24.6481	−	12.5588i	−0.923078	−	0.470332i
$714$	1.28979	+	0.753545i	0.0482694	+	0.0282007i
$715$	−10.9940	+	38.4322i	−0.411153	+	1.43728i
$716$	−15.3832	−	3.26981i	−0.574898	−	0.122198i
$717$	1.05032	+	2.73618i	0.0392250	+	0.102185i
$718$	2.28499	−	8.52769i	0.0852750	−	0.318251i
$719$	−2.63108	−	25.0331i	−0.0981229	−	0.933577i	−0.927231	−	0.374489i	$-0.877818\pi$
$719$	−2.63108	−	25.0331i	−0.0981229	−	0.933577i	0.829108	−	0.559088i	$-0.188849\pi$
$720$	3.85982	+	1.79690i	0.143847	+	0.0669665i
$721$	−0.729716	−	0.241260i	−0.0271760	−	0.00898499i
$722$	−11.4164	+	1.80817i	−0.424873	+	0.0672933i
$723$	0.462616	−	8.82723i	0.0172049	−	0.328288i
$724$	6.94810	+	12.0345i	0.258224	+	0.447257i
$725$	17.8320	−	22.8833i	0.662263	−	0.849865i
$726$	−4.86644	−	2.80964i	−0.180610	−	0.104276i
$727$	6.56458	−	3.34482i	0.243467	−	0.124053i	−0.328000	−	0.944678i	$-0.606375\pi$
$727$	6.56458	−	3.34482i	0.243467	−	0.124053i	0.571467	+	0.820625i	$0.306375\pi$
$728$	6.41768	−	9.77184i	0.237855	−	0.362169i
$729$	9.09952	−	12.5244i	0.337019	−	0.463867i
$730$	−19.7337	−	14.8509i	−0.730379	−	0.549658i
$731$	−1.74376	+	3.91655i	−0.0644953	+	0.144859i
$732$	10.3013	+	2.76024i	0.380749	+	0.102021i
$733$	−28.7033	−	23.2435i	−1.06018	−	0.858516i	−0.0698925	−	0.997555i	$-0.522266\pi$
$733$	−28.7033	−	23.2435i	−1.06018	−	0.858516i	−0.990287	+	0.139038i	$0.955599\pi$
$734$	4.16408	+	12.8157i	0.153699	+	0.473037i
$735$	−11.8967	+	11.2683i	−0.438818	+	0.415639i
$736$	1.87212	−	5.76178i	0.0690072	−	0.212382i
$737$	14.3164	−	9.29717i	0.527351	−	0.342466i
$738$	−0.546075	−	10.4197i	−0.0201013	−	0.383555i
$739$	−1.41356	−	6.65030i	−0.0519988	−	0.244635i	0.944470	−	0.328597i	$-0.106576\pi$
$739$	−1.41356	−	6.65030i	−0.0519988	−	0.244635i	−0.996469	+	0.0839621i	$0.973243\pi$
$740$	−11.4954	−	23.5313i	−0.422578	−	0.865029i
$741$	24.3201	−	7.90208i	0.893421	−	0.290290i
$742$	−11.2686	−	14.0631i	−0.413685	−	0.516271i
$743$	2.24428	+	2.24428i	0.0823347	+	0.0823347i	0.747075	−	0.664740i	$-0.231458\pi$
$743$	2.24428	+	2.24428i	0.0823347	+	0.0823347i	−0.664740	+	0.747075i	$0.731458\pi$
$744$	−4.75402	+	0.499668i	−0.174291	+	0.0183187i
$745$	−11.4131	+	19.0217i	−0.418142	+	0.696900i
$746$	0.407432	−	3.87645i	0.0149171	−	0.141927i
$747$	0.574248	+	0.220433i	0.0210106	+	0.00806523i
$748$	−0.990569	−	1.94410i	−0.0362188	−	0.0710834i
$749$	−4.51220	+	1.44046i	−0.164872	+	0.0526332i
$750$	−9.80408	+	6.39325i	−0.357994	+	0.233448i
$751$	13.7655	−	23.8425i	0.502310	−	0.870027i	−0.497686	−	0.867357i	$-0.665817\pi$
$751$	13.7655	−	23.8425i	0.502310	−	0.870027i	0.999996	−	0.00266953i	$-0.000849737\pi$
$752$	−3.77513	−	2.45160i	−0.137665	−	0.0894006i
$753$	−13.5613	+	10.9817i	−0.494201	+	0.400196i
$754$	−23.4216	+	10.4280i	−0.852963	+	0.379764i
$755$	−39.4009	+	21.8728i	−1.43395	+	0.796032i
$756$	5.46078	+	12.4371i	0.198607	+	0.452332i
$757$	15.8288	−	15.8288i	0.575309	−	0.575309i	−0.358298	−	0.933607i	$-0.616643\pi$
$757$	15.8288	−	15.8288i	0.575309	−	0.575309i	0.933607	+	0.358298i	$0.116643\pi$
$758$	−0.428968	+	0.529731i	−0.0155808	+	0.0192407i
$759$	−17.1692	+	19.0683i	−0.623202	+	0.692136i
$760$	−12.3314	−	0.854481i	−0.447307	−	0.0309953i
$761$	22.8542	−	20.5780i	0.828464	−	0.745952i	−0.141308	−	0.989966i	$-0.545131\pi$
$761$	22.8542	−	20.5780i	0.828464	−	0.745952i	0.969772	+	0.244013i	$0.0784641\pi$
$762$	−4.95444	+	9.72364i	−0.179481	+	0.352250i
$763$	13.5692	−	16.5813i	0.491240	−	0.600284i
$764$	−12.7325	−	4.13704i	−0.460646	−	0.149673i
$765$	−0.321002	−	2.27364i	−0.0116059	−	0.0822038i
$766$	27.3879	+	24.6602i	0.989564	+	0.891008i
$767$	−29.6783	+	11.3924i	−1.07162	+	0.411357i
$768$	−0.270951	−	1.01120i	−0.00977711	−	0.0364887i
$769$	−5.36550	+	3.89826i	−0.193485	+	0.140575i	−0.680310	−	0.732924i	$-0.738155\pi$
$769$	−5.36550	+	3.89826i	−0.193485	+	0.140575i	0.486825	+	0.873499i	$0.338155\pi$
$770$	23.5153	−	4.46075i	0.847433	−	0.160754i
$771$	−9.90086	−	7.19340i	−0.356571	−	0.259064i
$772$	−0.746835	+	1.94557i	−0.0268792	+	0.0700226i
$773$	−23.0671	+	35.5202i	−0.829666	+	1.27757i	0.128600	+	0.991697i	$0.458952\pi$
$773$	−23.0671	+	35.5202i	−0.829666	+	1.27757i	−0.958266	+	0.285877i	$0.907715\pi$
$774$	−13.1081	+	7.56794i	−0.471159	+	0.272024i
$775$	−9.98249	+	20.5328i	−0.358582	+	0.737561i
$776$			1.76389i			0.0633200i
$777$	8.55729	−	31.2909i	0.306991	−	1.12255i
$778$	−0.786785	−	4.96757i	−0.0282076	−	0.178096i
$779$	12.3212	+	27.6739i	0.441454	+	0.991521i
$780$	10.3038	−	0.908012i	0.368935	−	0.0325121i
$781$	54.8187	+	24.4069i	1.96157	+	0.873346i
$782$	−3.15602	+	0.845652i	−0.112859	+	0.0302404i
$783$	4.65985	−	29.4211i	0.166529	−	1.05143i
$784$	−6.95375	−	0.803349i	−0.248348	−	0.0286910i
$785$	−14.3177	−	4.09577i	−0.511021	−	0.146184i
$786$	2.79542	+	3.10463i	0.0997094	+	0.110739i
$787$	−39.5933	+	2.07500i	−1.41135	+	0.0739656i	−0.742705	−	0.669618i	$-0.766458\pi$
$787$	−39.5933	+	2.07500i	−1.41135	+	0.0739656i	−0.668643	+	0.743584i	$0.733124\pi$
$788$	20.5411	−	1.07651i	0.731747	−	0.0383492i
$789$	−13.3845	−	14.8650i	−0.476500	−	0.529207i
$790$	−24.0539	+	8.77210i	−0.855800	+	0.312097i
$791$	−23.3186	−	10.5263i	−0.829113	−	0.374272i
$792$	1.20505	−	7.60838i	0.0428195	−	0.270352i
$793$	−43.4806	+	11.6506i	−1.54404	+	0.413725i
$794$	10.9068	+	4.85603i	0.387069	+	0.172334i
$795$	3.57690	−	15.5380i	0.126860	−	0.551075i
$796$	−1.68779	−	3.79083i	−0.0598220	−	0.134363i
$797$	0.825637	+	5.21287i	0.0292456	+	0.184649i	0.997987	−	0.0634250i	$-0.0202023\pi$
$797$	0.825637	+	5.21287i	0.0292456	+	0.184649i	−0.968741	+	0.248074i	$0.920202\pi$
$798$	−10.7708	−	10.8823i	−0.381283	−	0.385230i
$799$			2.42765i			0.0858839i
$800$	−4.78336	−	1.45583i	−0.169117	−	0.0514712i
$801$	−29.7937	+	17.2014i	−1.05271	+	0.607782i
$802$	−0.0296388	+	0.0456398i	−0.00104658	+	0.00161160i
$803$	−16.0137	+	41.7172i	−0.565112	+	1.47217i
$804$	−3.57356	−	2.59634i	−0.126030	−	0.0915660i
$805$	0.787429	−	35.8327i	0.0277532	−	1.26294i
$806$	16.3232	−	11.8595i	0.574961	−	0.417734i
$807$	1.83583	+	6.85141i	0.0646242	+	0.241181i
$808$	1.94656	−	0.747214i	0.0684797	−	0.0262869i
$809$	3.40329	+	3.06434i	0.119653	+	0.107736i	0.726785	−	0.686865i	$-0.241013\pi$
$809$	3.40329	+	3.06434i	0.119653	+	0.107736i	−0.607132	+	0.794601i	$0.707680\pi$
$810$	0.353946	−	0.666690i	0.0124364	−	0.0234251i
$811$	−18.9461	−	6.15597i	−0.665289	−	0.216165i	−0.0431454	−	0.999069i	$-0.513738\pi$
$811$	−18.9461	−	6.15597i	−0.665289	−	0.216165i	−0.622143	+	0.782903i	$0.713738\pi$
$812$	11.8801	+	9.72203i	0.416910	+	0.341176i
$813$	−2.45440	+	4.81703i	−0.0860796	+	0.168941i
$814$	−35.2129	+	31.7059i	−1.23421	+	1.11129i
$815$	−5.43792	+	3.40276i	−0.190482	+	0.119193i
$816$	−0.377790	+	0.419578i	−0.0132253	+	0.0146882i
$817$	27.6546	−	34.1506i	0.967514	−	1.19478i
$818$	22.4631	−	22.4631i	0.785402	−	0.785402i
$819$	−17.9411	−	13.1766i	−0.626912	−	0.460428i
$820$	2.34565	+	12.0268i	0.0819138	+	0.419996i
$821$	21.9942	−	9.79247i	0.767604	−	0.341759i	0.0147022	−	0.999892i	$-0.495320\pi$
$821$	21.9942	−	9.79247i	0.767604	−	0.341759i	0.752902	+	0.658132i	$0.228653\pi$
$822$	−4.47390	+	3.62289i	−0.156045	+	0.126363i
$823$	−19.8077	−	12.8633i	−0.690453	−	0.448386i	0.151129	−	0.988514i	$-0.451709\pi$
$823$	−19.8077	−	12.8633i	−0.690453	−	0.448386i	−0.841583	+	0.540128i	$0.818376\pi$
$824$	0.145245	−	0.251572i	0.00505985	−	0.00876392i
$825$	15.9998	+	13.8730i	0.557041	+	0.482996i
$826$	14.0796	+	12.8092i	0.489891	+	0.445689i
$827$	5.05880	+	9.92845i	0.175912	+	0.345246i	0.962081	−	0.272766i	$-0.0879384\pi$
$827$	5.05880	+	9.92845i	0.175912	+	0.345246i	−0.786169	+	0.618012i	$0.787938\pi$
$828$	−10.7691	−	4.13389i	−0.374254	−	0.143662i
$829$	−0.00134191	+	0.0127674i	−4.66065e−5	+	0.000443431i	−0.994545	−	0.104307i	$-0.966738\pi$
$829$	−0.00134191	+	0.0127674i	−4.66065e−5	+	0.000443431i	0.994499	+	0.104750i	$0.0334043\pi$
$830$	−0.703949	−	0.162052i	−0.0244344	−	0.00562490i
$831$	27.0545	−	2.84354i	0.938510	−	0.0986414i
$832$	3.12451	+	3.12451i	0.108323	+	0.108323i
$833$	1.67919	+	3.38122i	0.0581803	+	0.117152i
$834$	−7.90932	+	2.56989i	−0.273877	+	0.0889881i
$835$	−0.356933	+	2.03176i	−0.0123522	+	0.0703119i
$836$	4.64986	+	21.8759i	0.160819	+	0.756592i
$837$	1.22688	+	23.4103i	0.0424072	+	0.809177i
$838$	−9.02818	+	5.86297i	−0.311873	+	0.202533i
$839$	−9.88272	+	30.4159i	−0.341189	+	1.05007i	0.622403	+	0.782697i	$0.286156\pi$
$839$	−9.88272	+	30.4159i	−0.341189	+	1.05007i	−0.963592	+	0.267376i	$0.913844\pi$
$840$	−3.25824	−	5.26708i	−0.112420	−	0.181731i
$841$	−1.44156	−	4.43666i	−0.0497089	−	0.152988i
$842$	13.5299	+	10.9563i	0.466272	+	0.377579i
$843$	13.2797	+	3.55828i	0.457377	+	0.122554i
$844$	4.80638	−	10.7953i	0.165443	−	0.371590i
$845$	−11.9466	+	8.37633i	−0.410975	+	0.288154i
$846$	−5.03777	+	6.93389i	−0.173202	+	0.238392i
$847$	−6.38211	−	12.6867i	−0.219292	−	0.435919i
$848$	6.06887	−	3.09224i	0.208406	−	0.106188i
$849$	−0.546573	−	0.315564i	−0.0187583	−	0.0108301i
$850$	0.746549	+	2.59119i	0.0256064	+	0.0888770i
$851$	35.4777	+	61.4492i	1.21616	+	2.10645i
$852$	0.812645	−	15.5062i	0.0278407	−	0.531233i
$853$	50.1547	−	7.94372i	1.71726	−	0.271988i	0.781318	−	0.624133i	$-0.214548\pi$
$853$	50.1547	−	7.94372i	1.71726	−	0.271988i	0.935945	+	0.352145i	$0.114548\pi$
$854$	17.9316	+	20.1224i	0.613606	+	0.688576i
$855$	−2.85357	+	23.3623i	−0.0975901	+	0.798973i
$856$	−0.187132	−	1.78044i	−0.00639603	−	0.0608542i
$857$	2.72910	−	10.1852i	0.0932244	−	0.347918i	−0.903520	−	0.428546i	$-0.859026\pi$
$857$	2.72910	−	10.1852i	0.0932244	−	0.347918i	0.996744	+	0.0806280i	$0.0256926\pi$
$858$	−6.70678	−	17.4718i	−0.228966	−	0.596476i
$859$	17.8274	+	3.78934i	0.608264	+	0.129291i	0.501738	−	0.865019i	$-0.332694\pi$
$859$	17.8274	+	3.78934i	0.608264	+	0.129291i	0.106526	+	0.994310i	$0.466027\pi$
$860$	14.0001	−	10.9523i	0.477401	−	0.373471i
$861$	−7.65663	+	13.1054i	−0.260937	+	0.446630i
$862$	22.2752	+	11.3498i	0.758695	+	0.386575i
$863$	−3.89856	−	6.00326i	−0.132709	−	0.204353i	0.766069	−	0.642759i	$-0.222210\pi$
$863$	−3.89856	−	6.00326i	−0.132709	−	0.204353i	−0.898777	+	0.438405i	$0.855543\pi$
$864$	−5.02174	+	1.06740i	−0.170843	+	0.0363138i
$865$	3.12002	−	45.0264i	0.106084	−	1.53094i
$866$	−0.741970	+	3.49069i	−0.0252132	+	0.118619i
$867$	−17.2770	−	2.73641i	−0.586759	−	0.0929334i
$868$	−10.7358	−	5.53998i	−0.364397	−	0.188039i
$869$	27.2287	+	37.4771i	0.923671	+	1.27132i
$870$	−0.228478	+	13.5803i	−0.00774612	+	0.460414i
$871$	18.5421	+	1.94886i	0.628276	+	0.0660345i
$872$	5.09635	+	6.29347i	0.172584	+	0.213124i
$873$	3.35394	+	0.175772i	0.113514	+	0.00594900i
$874$	33.4902			1.13282
$875$	−29.5802	−	0.0963453i	−0.999995	−	0.00325706i
$876$	11.5628			0.390672
$877$	56.8272	+	2.97819i	1.91892	+	0.100566i	0.973973	−	0.226663i	$-0.0727817\pi$
$877$	56.8272	+	2.97819i	1.91892	+	0.100566i	0.944945	+	0.327230i	$0.106115\pi$
$878$	−14.2353	−	17.5792i	−0.480419	−	0.593268i
$879$	−9.87371	−	1.03777i	−0.333032	−	0.0350031i
$880$	−0.152178	+	9.04517i	−0.00512993	+	0.304913i
$881$	−13.1084	−	18.0422i	−0.441633	−	0.607856i	0.528941	−	0.848659i	$-0.322589\pi$
$881$	−13.1084	−	18.0422i	−0.441633	−	0.607856i	−0.970574	+	0.240803i	$0.922589\pi$
$882$	−2.22047	+	13.1421i	−0.0747670	+	0.442517i
$883$	−29.3466	−	4.64804i	−0.987591	−	0.156419i	−0.358315	−	0.933601i	$-0.616649\pi$
$883$	−29.3466	−	4.64804i	−0.987591	−	0.156419i	−0.629276	+	0.777182i	$0.716649\pi$
$884$	0.495473	−	2.33102i	0.0166646	−	0.0784006i
$885$	−1.16418	+	16.8008i	−0.0391336	+	0.564754i
$886$	−33.3589	+	7.09064i	−1.12071	+	0.238215i
$887$	5.52567	+	8.50879i	0.185534	+	0.285697i	0.919182	−	0.393832i	$-0.128851\pi$
$887$	5.52567	+	8.50879i	0.185534	+	0.285697i	−0.733649	+	0.679529i	$0.762184\pi$
$888$	10.9247	+	5.56643i	0.366610	+	0.186797i
$889$	−23.9561	+	13.6671i	−0.803462	+	0.458379i
$890$	31.8213	−	24.8939i	1.06665	−	0.834445i
$891$	−1.33585	−	0.283943i	−0.0447525	−	0.00951244i
$892$	−6.95923	−	18.1294i	−0.233012	−	0.607018i
$893$	6.44027	−	24.0354i	0.215515	−	0.804315i
$894$	−1.08558	−	10.3286i	−0.0363074	−	0.345441i
$895$	4.26370	−	34.9070i	0.142520	−	1.16681i
$896$	0.830527	−	2.51202i	0.0277460	−	0.0839206i
$897$	−27.6798	+	4.38404i	−0.924200	+	0.146379i
$898$	0.0459643	−	0.877052i	0.00153385	−	0.0292676i
$899$	13.2468	+	22.9441i	0.441806	+	0.765230i
$900$	−3.24483	+	8.95021i	−0.108161	+	0.298340i
$901$	−3.18128	−	1.83671i	−0.105984	−	0.0611898i
$902$	19.7537	−	10.0650i	0.657725	−	0.335128i
$903$	21.9814	+	1.26552i	0.731494	+	0.0421138i
$904$	5.68387	−	7.82318i	0.189043	−	0.260195i
$905$	−25.4422	+	17.8387i	−0.845726	+	0.592979i
$906$	8.58149	−	19.2743i	0.285101	−	0.640347i
$907$	−3.17486	−	0.850701i	−0.105419	−	0.0282471i	0.205724	−	0.978610i	$-0.434045\pi$
$907$	−3.17486	−	0.850701i	−0.105419	−	0.0282471i	−0.311143	+	0.950363i	$0.600712\pi$
$908$	−2.56093	−	2.07380i	−0.0849875	−	0.0688215i
$909$	−1.22681	−	3.77573i	−0.0406907	−	0.125233i
$910$	23.0259	+	12.3769i	0.763301	+	0.410289i
$911$	10.2782	−	31.6329i	0.340531	−	1.04805i	−0.623403	−	0.781901i	$-0.714250\pi$
$911$	10.2782	−	31.6329i	0.340531	−	1.04805i	0.963933	−	0.266144i	$-0.0857498\pi$
$912$	4.85349	−	3.15189i	0.160715	−	0.104370i
$913$	0.0684010	+	1.30517i	0.00226374	+	0.0431948i
$914$	4.91528	+	23.1246i	0.162583	+	0.764894i
$915$	−4.12619	+	23.4874i	−0.136408	+	0.776469i
$916$	10.9064	−	3.54371i	0.360358	−	0.117087i
$917$	1.59795	+	10.4366i	0.0527690	+	0.344647i
$918$	1.95785	+	1.95785i	0.0646187	+	0.0646187i
$919$	24.0714	−	2.53001i	0.794043	−	0.0834573i	0.301184	−	0.953566i	$-0.402618\pi$
$919$	24.0714	−	2.53001i	0.794043	−	0.0834573i	0.492860	+	0.870109i	$0.335952\pi$
$920$	13.2015	+	3.03903i	0.435240	+	0.100194i
$921$	−2.87250	+	27.3300i	−0.0946521	+	0.900554i
$922$	−3.31674	−	1.27318i	−0.109231	−	0.0419299i
$923$	29.7542	+	58.3960i	0.979372	+	1.92213i
$924$	−7.54083	+	8.28871i	−0.248075	+	0.272679i
$925$	50.1581	−	30.2242i	1.64919	−	0.993765i
$926$	12.1918	−	21.1169i	0.400649	−	0.693944i
$927$	−0.463875	−	0.301244i	−0.0152357	−	0.00989416i
$928$	−4.50912	+	3.65141i	−0.148019	+	0.119864i
$929$	−34.3009	+	15.2718i	−1.12538	+	0.501050i	−0.883113	−	0.469160i	$-0.844557\pi$
$929$	−34.3009	+	15.2718i	−1.12538	+	0.501050i	−0.242264	+	0.970210i	$0.577890\pi$
$930$	−2.04615	−	10.4912i	−0.0670959	−	0.344020i
$931$	−7.65514	−	37.9312i	−0.250887	−	1.24314i
$932$	−4.51799	+	4.51799i	−0.147992	+	0.147992i
$933$	−13.3824	+	16.5259i	−0.438120	+	0.541033i
$934$	17.7841	−	19.7512i	0.581913	−	0.646280i
$935$	4.13592	−	2.58804i	0.135259	−	0.0846379i
$936$	6.25243	−	5.62971i	0.204367	−	0.184013i
$937$	1.27961	−	2.51138i	0.0418030	−	0.0820431i	−0.869160	−	0.494531i	$-0.835340\pi$
$937$	1.27961	−	2.51138i	0.0418030	−	0.0820431i	0.910963	+	0.412488i	$0.135340\pi$
$938$	−3.94690	−	10.4424i	−0.128871	−	0.340957i
$939$	32.6516	+	10.6092i	1.06555	+	0.346217i
$940$	4.71976	−	8.89009i	0.153941	−	0.289963i
$941$	−10.0473	−	9.04665i	−0.327533	−	0.294912i	0.488914	−	0.872332i	$-0.337393\pi$
$941$	−10.0473	−	9.04665i	−0.327533	−	0.294912i	−0.816448	+	0.577420i	$0.804060\pi$
$942$	6.50901	−	2.49858i	0.212075	−	0.0814080i
$943$	−8.59251	−	32.0677i	−0.279811	−	1.04427i
$944$	−5.82035	+	4.22873i	−0.189436	+	0.137633i
$945$	−26.6309	+	14.6048i	−0.866302	+	0.475095i
$946$	−26.0184	−	18.9035i	−0.845930	−	0.614604i
$947$	2.86098	−	7.45312i	0.0929695	−	0.242194i	−0.879208	−	0.476437i	$-0.841928\pi$
$947$	2.86098	−	7.45312i	0.0929695	−	0.242194i	0.972178	+	0.234243i	$0.0752613\pi$
$948$	6.52858	−	10.0531i	0.212038	−	0.326511i
$949$	−42.2665	+	24.4026i	−1.37203	+	0.792142i
$950$	−0.517238	−	27.6351i	−0.0167814	−	0.896601i
$951$		−	4.78771i		−	0.155252i
$952$	−1.38016	+	0.362207i	−0.0447313	+	0.0117392i
$953$	−8.52131	−	53.8014i	−0.276032	−	1.74280i	−0.602979	−	0.797757i	$-0.706020\pi$
$953$	−8.52131	−	53.8014i	−0.276032	−	1.74280i	0.326947	−	0.945043i	$-0.393980\pi$
$954$	−5.27496	−	11.8477i	−0.170783	−	0.383585i
$955$	6.71572	−	29.1729i	0.217316	−	0.944013i
$956$	−2.55757	−	1.13871i	−0.0827179	−	0.0368284i
$957$	23.7368	−	6.36025i	0.767301	−	0.205598i
$958$	1.48157	−	9.35426i	0.0478673	−	0.302222i
$959$	−14.4771	+	1.44628i	−0.467490	+	0.0467028i
$960$	2.19921	−	0.802017i	0.0709791	−	0.0258850i
$961$	6.79175	+	7.54300i	0.219089	+	0.243323i
$962$	−51.6816	+	2.70852i	−1.66628	+	0.0873261i
$963$	−3.40405	+	0.178399i	−0.109694	+	0.00574882i
$964$	5.64984	+	6.27478i	0.181969	+	0.202097i
$965$	−4.48023	−	1.28163i	−0.144224	−	0.0412571i
$966$	9.79307	+	13.6260i	0.315087	+	0.438409i
$967$	6.86712	−	43.3573i	0.220832	−	1.39428i	−0.589246	−	0.807954i	$-0.700575\pi$
$967$	6.86712	−	43.3573i	0.220832	−	1.39428i	0.810077	−	0.586323i	$-0.199425\pi$
$968$	5.18477	−	1.38925i	0.166645	−	0.0446523i
$969$	−2.85126	−	1.26946i	−0.0915957	−	0.0407810i
$970$	−3.92896	+	0.346236i	−0.126151	+	0.0111170i
$971$	13.4015	+	30.1002i	0.430074	+	0.965962i	0.990469	+	0.137736i	$0.0439827\pi$
$971$	13.4015	+	30.1002i	0.430074	+	0.965962i	−0.560395	+	0.828225i	$0.689351\pi$
$972$	2.46465	+	15.5612i	0.0790538	+	0.499126i
$973$	−20.2733	−	5.54426i	−0.649933	−	0.177741i
$974$			33.8022i			1.08309i
$975$	4.04508	+	22.7728i	0.129546	+	0.729313i
$976$	−8.82238	+	5.09360i	−0.282397	+	0.163042i
$977$	17.1504	−	26.4093i	0.548690	−	0.844909i	−0.450155	−	0.892950i	$-0.648631\pi$
$977$	17.1504	−	26.4093i	0.548690	−	0.844909i	0.998845	+	0.0480413i	$0.0152979\pi$
$978$	1.07627	−	2.80379i	0.0344154	−	0.0896553i
$979$	−59.1380	−	42.9663i	−1.89006	−	1.37321i
$980$	0.424451	−	15.6467i	0.0135586	−	0.499816i
$981$	12.4745	−	9.06328i	0.398281	−	0.289368i
$982$	−4.15000	−	15.4880i	−0.132432	−	0.494243i
$983$	−1.75356	+	0.673127i	−0.0559297	+	0.0214694i	−0.386172	−	0.922427i	$-0.626203\pi$
$983$	−1.75356	+	0.673127i	−0.0559297	+	0.0214694i	0.330242	+	0.943896i	$0.392870\pi$
$984$	−4.26326	−	3.83866i	−0.135908	−	0.122372i
$985$	6.42990	+	45.5427i	0.204874	+	1.45111i
$986$	2.97605	+	0.966977i	0.0947767	+	0.0307948i
$987$	11.6624	−	4.40802i	0.371219	−	0.140309i
$988$	−11.0895	+	21.7643i	−0.352803	+	0.692414i
$989$	−35.7893	+	32.2248i	−1.13803	+	1.02469i
$990$	17.1837	+	1.19071i	0.546134	+	0.0378433i
$991$	−11.8495	+	13.1603i	−0.376413	+	0.418049i	−0.901350	−	0.433092i	$-0.857422\pi$
$991$	−11.8495	+	13.1603i	−0.376413	+	0.418049i	0.524936	+	0.851141i	$0.324089\pi$
$992$	2.87358	−	3.54858i	0.0912363	−	0.112667i
$993$	−11.3429	+	11.3429i	−0.359957	+	0.359957i
$994$	23.2292	−	31.6285i	0.736786	−	1.00319i
$995$	8.11254	−	4.50354i	0.257185	−	0.142772i
$996$	0.308954	−	0.137555i	0.00978959	−	0.00435861i
$997$	32.4733	−	26.2964i	1.02844	−	0.832815i	0.0423637	−	0.999102i	$-0.486511\pi$
$997$	32.4733	−	26.2964i	1.02844	−	0.832815i	0.986077	+	0.166287i	$0.0531778\pi$
$998$	−10.6796	−	6.93541i	−0.338057	−	0.219537i
$999$	30.0646	−	52.0734i	0.951201	−	1.64753i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.103.14	yes	320
7.3	odd	6	inner	350.2.x.a.3.7	✓	320
25.17	odd	20	inner	350.2.x.a.117.7	yes	320
175.17	even	60	inner	350.2.x.a.17.14	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.3.7	✓	320	7.3	odd	6	inner
350.2.x.a.17.14	yes	320	175.17	even	60	inner
350.2.x.a.103.14	yes	320	1.1	even	1	trivial
350.2.x.a.117.7	yes	320	25.17	odd	20	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(0.998630 + 0.0523360i) q^{2} +(-0.658820 - 0.813575i) q^{3} +(0.994522 + 0.104528i) q^{4} +(-0.0376149 + 2.23575i) q^{5} +(-0.615338 - 0.846940i) q^{6} +(-0.124862 - 2.64280i) q^{7} +(0.987688 + 0.156434i) q^{8} +(0.395875 - 1.86244i) q^{9} +(-0.154574 + 2.23072i) q^{10} +(3.95729 - 0.841148i) q^{11} +(-0.570169 - 0.877984i) q^{12} +(3.93711 + 2.00606i) q^{13} +(0.0136227 - 2.64572i) q^{14} +(1.84373 - 1.44236i) q^{15} +(0.978148 + 0.207912i) q^{16} +(-0.193274 - 0.503496i) q^{17} +(0.492805 - 1.83917i) q^{18} +(0.577832 + 5.49771i) q^{19} +(-0.271108 + 2.21957i) q^{20} +(-2.06786 + 1.84272i) q^{21} +(3.99589 - 0.632887i) q^{22} +(0.317067 - 6.05000i) q^{23} +(-0.523438 - 0.906621i) q^{24} +(-4.99717 - 0.168195i) q^{25} +(3.82672 + 2.20936i) q^{26} +(-4.57437 + 2.33076i) q^{27} +(0.152070 - 2.64138i) q^{28} +(-3.41042 + 4.69404i) q^{29} +(1.91669 - 1.34389i) q^{30} +(1.85723 - 4.17140i) q^{31} +(0.965926 + 0.258819i) q^{32} +(-3.29148 - 2.66539i) q^{33} +(-0.166658 - 0.512922i) q^{34} +(5.91335 - 0.179752i) q^{35} +(0.588384 - 1.81086i) q^{36} +(-9.82260 + 6.37887i) q^{37} +(0.289313 + 5.52041i) q^{38} +(-0.961768 - 4.52476i) q^{39} +(-0.386900 + 2.20234i) q^{40} +(5.21170 - 1.69338i) q^{41} +(-2.16146 + 1.73197i) q^{42} +(-5.62101 - 5.62101i) q^{43} +(4.02353 - 0.422891i) q^{44} +(4.14907 + 0.955133i) q^{45} +(0.633265 - 6.02511i) q^{46} +(-4.20235 - 1.61313i) q^{47} +(-0.475272 - 0.932773i) q^{48} +(-6.96882 + 0.659972i) q^{49} +(-4.98152 - 0.429496i) q^{50} +(-0.282299 + 0.488957i) q^{51} +(3.70585 + 2.40661i) q^{52} +(5.29334 - 4.28646i) q^{53} +(-4.69008 + 2.08816i) q^{54} +(1.73174 + 8.87916i) q^{55} +(0.290101 - 2.62980i) q^{56} +(4.09211 - 4.09211i) q^{57} +(-3.65141 + 4.50912i) q^{58} +(-4.81396 + 5.34644i) q^{59} +(1.98440 - 1.24173i) q^{60} +(-7.57057 + 6.81657i) q^{61} +(2.07300 - 4.06849i) q^{62} +(-4.97150 - 0.813670i) q^{63} +(0.951057 + 0.309017i) q^{64} +(-4.63314 + 8.72694i) q^{65} +(-3.14747 - 2.83400i) q^{66} +(3.93913 - 1.51209i) q^{67} +(-0.139586 - 0.520941i) q^{68} +(-5.13102 + 3.72790i) q^{69} +(5.91465 + 0.129975i) q^{70} +(11.9995 + 8.71814i) q^{71} +(0.682351 - 1.77759i) q^{72} +(-6.01559 + 9.26320i) q^{73} +(-10.1430 + 5.85605i) q^{74} +(3.15540 + 4.17638i) q^{75} +5.52799i q^{76} +(-2.71710 - 10.3533i) q^{77} +(-0.723642 - 4.56890i) q^{78} +(4.65724 + 10.4603i) q^{79} +(-0.501632 + 2.17907i) q^{80} +(-0.308382 - 0.137300i) q^{81} +(5.29319 - 1.41830i) q^{82} +(-0.0505361 + 0.319072i) q^{83} +(-2.24915 + 1.61647i) q^{84} +(1.13296 - 0.413174i) q^{85} +(-5.31912 - 5.90748i) q^{86} +(6.06581 - 0.317896i) q^{87} +(4.04015 - 0.211735i) q^{88} +(-12.0900 - 13.4273i) q^{89} +(4.09340 + 1.17097i) q^{90} +(4.81002 - 10.6555i) q^{91} +(0.947727 - 5.98371i) q^{92} +(-4.61733 + 1.23721i) q^{93} +(-4.11217 - 1.83086i) q^{94} +(-12.3132 + 1.08509i) q^{95} +(-0.425803 - 0.956368i) q^{96} +(0.275934 + 1.74218i) q^{97} +(-6.99381 + 0.294347i) q^{98} -7.70322i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) \) 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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