LMFDB - Embedded newform 264.2.z.b.139.8

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [264,2,Mod(19,264)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(264, base_ring=CyclotomicField(10)) chi = DirichletCharacter(H, H._module([5, 5, 0, 3])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("264.19"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 264 = 2^{3} \cdot 3 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	264.z (of order $10$, degree $4$, minimal)

Newform invariants

comment:select newform

sage:traces = [48,0,12] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(3)] == traces)

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

Self dual:	no
Analytic conductor:	$2.10805061336$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			139.8
Character	$\chi$	$=$	264.139
Dual form			264.2.z.b.19.8

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.445083 - 1.34235i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-1.60380 - 1.19491i) q^{4} +(1.48262 + 2.04066i) q^{5} +(1.13911 + 0.838108i) q^{6} +(1.07225 + 3.30005i) q^{7} +(-2.31782 + 1.62103i) q^{8} +(-0.809017 - 0.587785i) q^{9} +(3.39916 - 1.08194i) q^{10} +(2.55602 + 2.11348i) q^{11} +(1.63203 - 1.15606i) q^{12} +(-1.89429 - 1.37628i) q^{13} +(4.90706 + 0.0294599i) q^{14} +(-2.39893 + 0.779461i) q^{15} +(1.14437 + 3.83281i) q^{16} +(-2.12874 - 2.92996i) q^{17} +(-1.14909 + 0.824370i) q^{18} +(6.47486 + 2.10381i) q^{19} +(0.0605712 - 5.04441i) q^{20} -3.46988 q^{21} +(3.97466 - 2.49039i) q^{22} -7.17148i q^{23} +(-0.825445 - 2.70530i) q^{24} +(-0.421018 + 1.29576i) q^{25} +(-2.69056 + 1.93024i) q^{26} +(0.809017 - 0.587785i) q^{27} +(2.22359 - 6.57388i) q^{28} +(-0.252424 - 0.776881i) q^{29} +(-0.0214155 + 3.56713i) q^{30} +(-3.49999 + 4.81732i) q^{31} +(5.65431 + 0.169779i) q^{32} +(-2.79989 + 1.77781i) q^{33} +(-4.88050 + 1.55344i) q^{34} +(-5.14452 + 7.08083i) q^{35} +(0.595151 + 1.90940i) q^{36} +(1.96758 - 0.639306i) q^{37} +(5.70590 - 7.75516i) q^{38} +(1.89429 - 1.37628i) q^{39} +(-6.74440 - 2.32649i) q^{40} +(-4.24917 - 1.38064i) q^{41} +(-1.54438 + 4.65779i) q^{42} +5.90629i q^{43} +(-1.57392 - 6.44382i) q^{44} -2.52239i q^{45} +(-9.62663 - 3.19190i) q^{46} +(-6.31309 - 2.05125i) q^{47} +(-3.99885 - 0.0960467i) q^{48} +(-4.07750 + 2.96248i) q^{49} +(1.55197 + 1.14187i) q^{50} +(3.44438 - 1.11915i) q^{51} +(1.39353 + 4.47079i) q^{52} +(8.16553 - 11.2389i) q^{53} +(-0.428934 - 1.34760i) q^{54} +(-0.523272 + 8.34943i) q^{55} +(-7.83476 - 5.91076i) q^{56} +(-4.00169 + 5.50785i) q^{57} +(-1.15520 - 0.00693530i) q^{58} +(-2.47252 - 7.60962i) q^{59} +(4.77880 + 1.61642i) q^{60} +(-7.77810 + 5.65112i) q^{61} +(4.90875 + 6.84232i) q^{62} +(1.07225 - 3.30005i) q^{63} +(2.74454 - 7.51449i) q^{64} -5.90609i q^{65} +(1.14027 + 4.54970i) q^{66} +9.83888 q^{67} +(-0.0869678 + 7.24274i) q^{68} +(6.82048 + 2.21611i) q^{69} +(7.21521 + 10.0573i) q^{70} +(3.94907 + 5.43543i) q^{71} +(2.82797 + 0.0509386i) q^{72} +(4.23299 - 1.37538i) q^{73} +(0.0175648 - 2.92573i) q^{74} +(-1.10224 - 0.800824i) q^{75} +(-7.87053 - 11.1110i) q^{76} +(-4.23389 + 10.7012i) q^{77} +(-1.00433 - 3.15535i) q^{78} +(-10.7142 - 7.78432i) q^{79} +(-6.12478 + 8.01787i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-3.74453 + 5.08937i) q^{82} +(2.34985 + 3.23429i) q^{83} +(5.56500 + 4.14621i) q^{84} +(2.82292 - 8.68806i) q^{85} +(7.92830 + 2.62879i) q^{86} +0.816862 q^{87} +(-9.35038 - 0.755279i) q^{88} +2.99301 q^{89} +(-3.38593 - 1.12267i) q^{90} +(2.51064 - 7.72697i) q^{91} +(-8.56930 + 11.5016i) q^{92} +(-3.49999 - 4.81732i) q^{93} +(-5.56334 + 7.56140i) q^{94} +(5.30663 + 16.3321i) q^{95} +(-1.90875 + 5.32510i) q^{96} +(-5.74003 - 4.17037i) q^{97} +(2.16185 + 6.79198i) q^{98} +(-0.825589 - 3.21223i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 12 q^{3} + 4 q^{4} - 12 q^{9} + 4 q^{11} + 6 q^{12} - 16 q^{14} + 20 q^{16} - 5 q^{18} + 25 q^{20} + 3 q^{22} + 20 q^{24} - 4 q^{25} + 4 q^{26} + 12 q^{27} - 25 q^{28} - 10 q^{30} - 4 q^{33} + 4 q^{36}+ \cdots - 16 q^{99}+O(q^{100}) $ 48 * q + 12 * q^3 + 4 * q^4 - 12 * q^9 + 4 * q^11 + 6 * q^12 - 16 * q^14 + 20 * q^16 - 5 * q^18 + 25 * q^20 + 3 * q^22 + 20 * q^24 - 4 * q^25 + 4 * q^26 + 12 * q^27 - 25 * q^28 - 10 * q^30 - 4 * q^33 + 4 * q^36 + 26 * q^38 - 65 * q^40 - 60 * q^41 - 4 * q^42 - 43 * q^44 - 5 * q^46 + 5 * q^48 - 12 * q^49 - 80 * q^50 - 15 * q^52 - 14 * q^56 + 73 * q^58 - 8 * q^59 - 25 * q^60 - 45 * q^62 - 38 * q^64 - 13 * q^66 + 8 * q^67 - 55 * q^68 - 40 * q^70 + 20 * q^72 + 60 * q^74 - 36 * q^75 + 46 * q^78 - 12 * q^81 - 35 * q^82 - 100 * q^83 + 45 * q^84 + 81 * q^86 - 18 * q^88 + 96 * q^89 + 10 * q^90 - 20 * q^91 + 59 * q^92 + 35 * q^94 - 40 * q^97 - 16 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/264\mathbb{Z}\right)^\times$.

$n$	$89$	$133$	$145$	$199$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{10}\right)$	$-1$

Coefficient data

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

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

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

$2$	0.445083	−	1.34235i	0.314721	−	0.949184i
$2$	0.445083	−	1.34235i	0.314721	−	0.949184i
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$4$	−1.60380	−	1.19491i	−0.801901	−	0.597457i
$5$	1.48262	+	2.04066i	0.663049	+	0.912609i	0.999578	−	0.0290646i	$-0.00925285\pi$
$5$	1.48262	+	2.04066i	0.663049	+	0.912609i	−0.336529	+	0.941673i	$0.609253\pi$
$6$	1.13911	+	0.838108i	0.465040	+	0.342156i
$7$	1.07225	+	3.30005i	0.405273	+	1.24730i	0.920667	+	0.390349i	$0.127646\pi$
$7$	1.07225	+	3.30005i	0.405273	+	1.24730i	−0.515394	+	0.856953i	$0.672354\pi$
$8$	−2.31782	+	1.62103i	−0.819472	+	0.573120i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	3.39916	−	1.08194i	1.07491	−	0.342138i
$11$	2.55602	+	2.11348i	0.770668	+	0.637237i
$11$	2.55602	+	2.11348i	0.770668	+	0.637237i
$12$	1.63203	−	1.15606i	0.471127	−	0.333725i
$13$	−1.89429	−	1.37628i	−0.525381	−	0.381712i	0.293246	−	0.956037i	$-0.405264\pi$
$13$	−1.89429	−	1.37628i	−0.525381	−	0.381712i	−0.818627	+	0.574325i	$0.805264\pi$
$14$	4.90706	+	0.0294599i	1.31147	+	0.00787349i
$15$	−2.39893	+	0.779461i	−0.619402	+	0.201256i
$16$	1.14437	+	3.83281i	0.286091	+	0.958202i
$17$	−2.12874	−	2.92996i	−0.516296	−	0.710620i	0.468669	−	0.883374i	$-0.344734\pi$
$17$	−2.12874	−	2.92996i	−0.516296	−	0.710620i	−0.984965	+	0.172753i	$0.944734\pi$
$18$	−1.14909	+	0.824370i	−0.270844	+	0.194306i
$19$	6.47486	+	2.10381i	1.48544	+	0.482647i	0.935732	−	0.352712i	$-0.114741\pi$
$19$	6.47486	+	2.10381i	1.48544	+	0.482647i	0.549704	+	0.835360i	$0.314741\pi$
$20$	0.0605712	−	5.04441i	0.0135441	−	1.12797i
$21$	−3.46988			−0.757190
$22$	3.97466	−	2.49039i	0.847401	−	0.530953i
$23$		−	7.17148i		−	1.49536i	−0.664061	−	0.747679i	$-0.731168\pi$
$23$		−	7.17148i		−	1.49536i	0.664061	−	0.747679i	$-0.268832\pi$
$24$	−0.825445	−	2.70530i	−0.168493	−	0.552217i
$25$	−0.421018	+	1.29576i	−0.0842036	+	0.259152i
$26$	−2.69056	+	1.93024i	−0.527663	+	0.378551i
$27$	0.809017	−	0.587785i	0.155695	−	0.113119i
$28$	2.22359	−	6.57388i	0.420220	−	1.24235i
$29$	−0.252424	−	0.776881i	−0.0468740	−	0.144263i	0.924880	−	0.380259i	$-0.124165\pi$
$29$	−0.252424	−	0.776881i	−0.0468740	−	0.144263i	−0.971754	+	0.235995i	$0.924165\pi$
$30$	−0.0214155	+	3.56713i	−0.00390992	+	0.651266i
$31$	−3.49999	+	4.81732i	−0.628617	+	0.865217i	−0.997945	−	0.0640823i	$-0.979588\pi$
$31$	−3.49999	+	4.81732i	−0.628617	+	0.865217i	0.369328	+	0.929299i	$0.379588\pi$
$32$	5.65431	+	0.169779i	0.999550	+	0.0300130i
$33$	−2.79989	+	1.77781i	−0.487398	+	0.309478i
$34$	−4.88050	+	1.55344i	−0.836999	+	0.266413i
$35$	−5.14452	+	7.08083i	−0.869583	+	1.19688i
$36$	0.595151	+	1.90940i	0.0991919	+	0.318233i
$37$	1.96758	−	0.639306i	0.323469	−	0.105101i	−0.142782	−	0.989754i	$-0.545605\pi$
$37$	1.96758	−	0.639306i	0.323469	−	0.105101i	0.466250	+	0.884653i	$0.345605\pi$
$38$	5.70590	−	7.75516i	0.925619	−	1.25805i
$39$	1.89429	−	1.37628i	0.303329	−	0.220381i
$40$	−6.74440	−	2.32649i	−1.06638	−	0.367850i
$41$	−4.24917	−	1.38064i	−0.663609	−	0.215620i	−0.0422040	−	0.999109i	$-0.513438\pi$
$41$	−4.24917	−	1.38064i	−0.663609	−	0.215620i	−0.621405	+	0.783489i	$0.713438\pi$
$42$	−1.54438	+	4.65779i	−0.238304	+	0.718713i
$43$			5.90629i			0.900700i	0.892852	+	0.450350i	$0.148701\pi$
$43$			5.90629i			0.900700i	−0.892852	+	0.450350i	$0.851299\pi$
$44$	−1.57392	−	6.44382i	−0.237278	−	0.971442i
$45$		−	2.52239i		−	0.376015i
$46$	−9.62663	−	3.19190i	−1.41937	−	0.470620i
$47$	−6.31309	−	2.05125i	−0.920859	−	0.299205i	−0.190040	−	0.981776i	$-0.560862\pi$
$47$	−6.31309	−	2.05125i	−0.920859	−	0.299205i	−0.730819	+	0.682571i	$0.760862\pi$
$48$	−3.99885	−	0.0960467i	−0.577184	−	0.0138632i
$49$	−4.07750	+	2.96248i	−0.582500	+	0.423211i
$50$	1.55197	+	1.14187i	0.219482	+	0.161485i
$51$	3.44438	−	1.11915i	0.482309	−	0.156712i
$52$	1.39353	+	4.47079i	0.193248	+	0.619987i
$53$	8.16553	−	11.2389i	1.12162	−	1.54378i	0.318540	−	0.947909i	$-0.396808\pi$
$53$	8.16553	−	11.2389i	1.12162	−	1.54378i	0.803081	−	0.595870i	$-0.203192\pi$
$54$	−0.428934	−	1.34760i	−0.0583705	−	0.183385i
$55$	−0.523272	+	8.34943i	−0.0705580	+	1.12584i
$56$	−7.83476	−	5.91076i	−1.04696	−	0.789859i
$57$	−4.00169	+	5.50785i	−0.530036	+	0.729532i
$58$	−1.15520	−	0.00693530i	−0.151685	−	0.000910649i
$59$	−2.47252	−	7.60962i	−0.321894	−	0.990689i	−0.972823	−	0.231550i	$-0.925620\pi$
$59$	−2.47252	−	7.60962i	−0.321894	−	0.990689i	0.650929	−	0.759139i	$-0.274380\pi$
$60$	4.77880	+	1.61642i	0.616941	+	0.208678i
$61$	−7.77810	+	5.65112i	−0.995883	+	0.723552i	−0.961202	−	0.275847i	$-0.911042\pi$
$61$	−7.77810	+	5.65112i	−0.995883	+	0.723552i	−0.0346817	+	0.999398i	$0.511042\pi$
$62$	4.90875	+	6.84232i	0.623411	+	0.868975i
$63$	1.07225	−	3.30005i	0.135091	−	0.415768i
$64$	2.74454	−	7.51449i	0.343067	−	0.939311i
$65$		−	5.90609i		−	0.732561i
$66$	1.14027	+	4.54970i	0.140357	+	0.560030i
$67$	9.83888			1.20201			0.601006	−	0.799245i	$-0.294767\pi$
$67$	9.83888			1.20201			0.601006	+	0.799245i	$0.294767\pi$
$68$	−0.0869678	+	7.24274i	−0.0105464	+	0.878312i
$69$	6.82048	+	2.21611i	0.821090	+	0.266788i
$70$	7.21521	+	10.0573i	0.862382	+	1.20208i
$71$	3.94907	+	5.43543i	0.468669	+	0.645067i	0.976278	−	0.216520i	$-0.0694707\pi$
$71$	3.94907	+	5.43543i	0.468669	+	0.645067i	−0.507609	+	0.861587i	$0.669471\pi$
$72$	2.82797	+	0.0509386i	0.333279	+	0.00600317i
$73$	4.23299	−	1.37538i	0.495434	−	0.160976i	−0.0506336	−	0.998717i	$-0.516124\pi$
$73$	4.23299	−	1.37538i	0.495434	−	0.160976i	0.546068	+	0.837741i	$0.316124\pi$
$74$	0.0175648	−	2.92573i	0.00204187	−	0.340109i
$75$	−1.10224	−	0.800824i	−0.127276	−	0.0924712i
$76$	−7.87053	−	11.1110i	−0.902812	−	1.27452i
$77$	−4.23389	+	10.7012i	−0.482497	+	1.21951i
$78$	−1.00433	−	3.15535i	−0.113718	−	0.357274i
$79$	−10.7142	−	7.78432i	−1.20544	−	0.875804i	−0.210632	−	0.977565i	$-0.567552\pi$
$79$	−10.7142	−	7.78432i	−1.20544	−	0.875804i	−0.994809	+	0.101761i	$0.967552\pi$
$80$	−6.12478	+	8.01787i	−0.684771	+	0.896425i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	−3.74453	+	5.08937i	−0.413515	+	0.562027i
$83$	2.34985	+	3.23429i	0.257929	+	0.355009i	0.918269	−	0.395958i	$-0.129588\pi$
$83$	2.34985	+	3.23429i	0.257929	+	0.355009i	−0.660339	+	0.750967i	$0.729588\pi$
$84$	5.56500	+	4.14621i	0.607192	+	0.452388i
$85$	2.82292	−	8.68806i	0.306189	−	0.942352i
$86$	7.92830	+	2.62879i	0.854930	+	0.283469i
$87$	0.816862			0.0875767
$88$	−9.35038	−	0.755279i	−0.996754	−	0.0805130i
$89$	2.99301			0.317259			0.158629	−	0.987338i	$-0.449292\pi$
$89$	2.99301			0.317259			0.158629	+	0.987338i	$0.449292\pi$
$90$	−3.38593	−	1.12267i	−0.356908	−	0.118340i
$91$	2.51064	−	7.72697i	0.263187	−	0.810006i
$92$	−8.56930	+	11.5016i	−0.893411	+	1.19913i
$93$	−3.49999	−	4.81732i	−0.362932	−	0.499533i
$94$	−5.56334	+	7.56140i	−0.573815	+	0.779899i
$95$	5.30663	+	16.3321i	0.544449	+	1.67564i
$96$	−1.90875	+	5.32510i	−0.194811	+	0.543491i
$97$	−5.74003	−	4.17037i	−0.582811	−	0.423437i	0.256925	−	0.966431i	$-0.417291\pi$
$97$	−5.74003	−	4.17037i	−0.582811	−	0.423437i	−0.839737	+	0.542994i	$0.817291\pi$
$98$	2.16185	+	6.79198i	0.218380	+	0.686094i
$99$	−0.825589	−	3.21223i	−0.0829748	−	0.322841i
$100$	2.22355	−	1.57506i	0.222355	−	0.157506i
$101$	−5.16038	−	3.74924i	−0.513477	−	0.373063i	0.300664	−	0.953730i	$-0.402792\pi$
$101$	−5.16038	−	3.74924i	−0.513477	−	0.373063i	−0.814141	+	0.580667i	$0.802792\pi$
$102$	0.0307483	−	5.12167i	0.00304454	−	0.507121i
$103$	10.1308	−	3.29171i	0.998220	−	0.324341i	0.236066	−	0.971737i	$-0.424142\pi$
$103$	10.1308	−	3.29171i	0.998220	−	0.324341i	0.762154	+	0.647396i	$0.224142\pi$
$104$	6.62160	+	0.119271i	0.649301	+	0.0116955i
$105$	−5.14452	−	7.08083i	−0.502054	−	0.691018i
$106$	−11.4522	−	15.9632i	−1.11233	−	1.55048i
$107$	−11.5148	−	3.74138i	−1.11318	−	0.361693i	−0.306016	−	0.952026i	$-0.598996\pi$
$107$	−11.5148	−	3.74138i	−1.11318	−	0.361693i	−0.807159	+	0.590334i	$0.798996\pi$
$108$	−1.99986	−	0.0240134i	−0.192436	−	0.00231069i
$109$	3.51815			0.336977			0.168489	−	0.985704i	$-0.446111\pi$
$109$	3.51815			0.336977			0.168489	+	0.985704i	$0.446111\pi$
$110$	10.9750	+	4.41860i	1.04642	+	0.421297i
$111$			2.06884i			0.196365i
$112$	−11.4214	+	7.88620i	−1.07922	+	0.745176i
$113$	5.13684	−	15.8096i	0.483233	−	1.48724i	−0.351290	−	0.936267i	$-0.614257\pi$
$113$	5.13684	−	15.8096i	0.483233	−	1.48724i	0.834523	−	0.550973i	$-0.185743\pi$
$114$	5.61237	+	7.82311i	0.525647	+	0.732701i
$115$	14.6345	−	10.6326i	1.36468	−	0.991495i
$116$	−0.523467	+	1.54759i	−0.0486027	+	0.143690i
$117$	0.723554	+	2.22687i	0.0668926	+	0.205874i
$118$	−11.3152	−	0.0679319i	−1.04165	−	0.00625364i
$119$	7.38648	−	10.1666i	0.677118	−	0.931972i
$120$	4.29676	−	5.69539i	0.392239	−	0.519915i
$121$	2.06643	+	10.8042i	0.187857	+	0.982196i
$122$	4.12388	+	12.9561i	0.373358	+	1.17299i
$123$	2.62613	−	3.61456i	0.236790	−	0.325914i
$124$	11.3696	−	3.54385i	1.02102	−	0.318247i
$125$	8.72626	−	2.83533i	0.780500	−	0.253600i
$126$	−3.95258	−	2.90813i	−0.352124	−	0.259077i
$127$	16.1834	−	11.7579i	1.43605	−	1.04335i	0.447195	−	0.894436i	$-0.352423\pi$
$127$	16.1834	−	11.7579i	1.43605	−	1.04335i	0.988850	−	0.148912i	$-0.0475771\pi$
$128$	−8.86552	−	7.02870i	−0.783609	−	0.621255i
$129$	−5.61721	−	1.82514i	−0.494568	−	0.160695i
$130$	−7.92804	−	2.62870i	−0.695335	−	0.230552i
$131$			15.4240i			1.34760i	0.738914	+	0.673800i	$0.235339\pi$
$131$			15.4240i			1.34760i	−0.738914	+	0.673800i	$0.764661\pi$
$132$	6.61480	+	0.494360i	0.575745	+	0.0430285i
$133$			23.6232i			2.04839i
$134$	4.37912	−	13.2072i	0.378298	−	1.14093i
$135$	2.39893	+	0.779461i	0.206467	+	0.0670853i
$136$	9.68358	+	3.34036i	0.830360	+	0.286434i
$137$	−1.08264	+	0.786586i	−0.0924965	+	0.0672026i	−0.633072	−	0.774093i	$-0.718206\pi$
$137$	−1.08264	+	0.786586i	−0.0924965	+	0.0672026i	0.540576	+	0.841295i	$0.318206\pi$
$138$	6.01047	−	8.16912i	0.511645	−	0.695402i
$139$	−3.79325	+	1.23250i	−0.321740	+	0.104540i	−0.465434	−	0.885083i	$-0.654102\pi$
$139$	−3.79325	+	1.23250i	−0.321740	+	0.104540i	0.143694	+	0.989622i	$0.454102\pi$
$140$	16.7118	−	5.20899i	1.41240	−	0.440240i
$141$	3.90171	−	5.37024i	0.328583	−	0.452256i
$142$	9.05391	−	2.88182i	0.759787	−	0.241837i
$143$	−1.93309	−	7.52133i	−0.161653	−	0.628965i
$144$	1.32706	−	3.77345i	0.110588	−	0.314454i
$145$	1.21110	−	1.66693i	0.100576	−	0.138431i
$146$	0.0377883	−	6.29431i	0.00312739	−	0.520921i
$147$	−1.55747	−	4.79339i	−0.128458	−	0.395352i
$148$	−3.91953	−	1.32577i	−0.322183	−	0.108978i
$149$	−3.78076	+	2.74688i	−0.309732	+	0.225033i	−0.731781	−	0.681539i	$-0.761311\pi$
$149$	−3.78076	+	2.74688i	−0.309732	+	0.225033i	0.422050	+	0.906573i	$0.361311\pi$
$150$	−1.56557	+	1.12316i	−0.127828	+	0.0917054i
$151$	−0.220305	+	0.678030i	−0.0179282	+	0.0551773i	−0.959620	−	0.281298i	$-0.909235\pi$
$151$	−0.220305	+	0.678030i	−0.0179282	+	0.0551773i	0.941692	+	0.336476i	$0.109235\pi$
$152$	−18.4179	+	5.61969i	−1.49389	+	0.455817i
$153$			3.62163i			0.292792i
$154$	12.4803	+	10.4463i	1.00569	+	0.841784i
$155$	−15.0197			−1.20641
$156$	−4.68260	−	0.0562267i	−0.374908	−	0.00450174i
$157$	10.9722	+	3.56508i	0.875676	+	0.284524i	0.712161	−	0.702016i	$-0.247717\pi$
$157$	10.9722	+	3.56508i	0.875676	+	0.284524i	0.163515	+	0.986541i	$0.447717\pi$
$158$	−15.2180	+	10.9175i	−1.21068	+	0.868551i
$159$	8.16553	+	11.2389i	0.647568	+	0.891301i
$160$	8.03674	+	11.7902i	0.635360	+	0.932098i
$161$	23.6663	−	7.68963i	1.86516	−	0.606028i
$162$	1.41419	+	0.00849018i	0.111109	+	0.000667051i
$163$	−11.0431	−	8.02330i	−0.864964	−	0.628433i	0.0642670	−	0.997933i	$-0.479529\pi$
$163$	−11.0431	−	8.02330i	−0.864964	−	0.628433i	−0.929231	+	0.369500i	$0.879529\pi$
$164$	5.16509	+	7.29167i	0.403326	+	0.569383i
$165$	−7.77908	−	3.07778i	−0.605601	−	0.239605i
$166$	5.38742	−	1.71479i	0.418145	−	0.133094i
$167$	−9.54231	−	6.93290i	−0.738406	−	0.536484i	0.153805	−	0.988101i	$-0.450847\pi$
$167$	−9.54231	−	6.93290i	−0.738406	−	0.536484i	−0.892212	+	0.451618i	$0.850847\pi$
$168$	8.04254	−	5.62477i	0.620496	−	0.433961i
$169$	−2.32304	−	7.14959i	−0.178696	−	0.549968i
$170$	−10.4060	−	7.65625i	−0.798102	−	0.587208i
$171$	−4.00169	−	5.50785i	−0.306017	−	0.421196i
$172$	7.05750	−	9.47252i	0.538129	−	0.722273i
$173$	−1.50776	+	4.64040i	−0.114633	+	0.352803i	−0.991870	−	0.127253i	$-0.959384\pi$
$173$	−1.50776	+	4.64040i	−0.114633	+	0.352803i	0.877238	+	0.480057i	$0.159384\pi$
$174$	0.363571	−	1.09651i	0.0275622	−	0.0831265i
$175$	−4.72751			−0.357366
$176$	−5.17554	+	12.2153i	−0.390121	+	0.920764i
$177$	8.00123			0.601409
$178$	1.33214	−	4.01767i	0.0998481	−	0.301137i
$179$	−4.50804	+	13.8743i	−0.336946	+	1.03701i	0.628809	+	0.777560i	$0.283543\pi$
$179$	−4.50804	+	13.8743i	−0.336946	+	1.03701i	−0.965755	+	0.259455i	$0.916457\pi$
$180$	−3.01403	+	4.04541i	−0.224653	+	0.301527i
$181$	−4.01377	−	5.52448i	−0.298341	−	0.410631i	0.633360	−	0.773857i	$-0.281675\pi$
$181$	−4.01377	−	5.52448i	−0.298341	−	0.410631i	−0.931701	+	0.363226i	$0.881675\pi$
$182$	−9.25485	−	6.80930i	−0.686015	−	0.504739i
$183$	−2.97097	−	9.14370i	−0.219620	−	0.675922i
$184$	11.6252	+	16.6222i	0.857019	+	1.22540i
$185$	4.22179	+	3.06731i	0.310392	+	0.225513i
$186$	−8.02432	+	2.55410i	−0.588371	+	0.187276i
$187$	0.751312	−	11.9881i	0.0549414	−	0.876655i
$188$	7.67389	+	10.8334i	0.559676	+	0.790107i
$189$	2.80719	+	2.03954i	0.204193	+	0.148355i
$190$	24.2853	+	0.145798i	1.76184	+	0.0105773i
$191$	−11.3228	+	3.67901i	−0.819291	+	0.266204i	−0.688528	−	0.725210i	$-0.741743\pi$
$191$	−11.3228	+	3.67901i	−0.819291	+	0.266204i	−0.130763	+	0.991414i	$0.541743\pi$
$192$	6.29859	+	4.93231i	0.454562	+	0.355959i
$193$	6.94660	+	9.56117i	0.500027	+	0.688228i	0.982198	−	0.187849i	$-0.0601516\pi$
$193$	6.94660	+	9.56117i	0.500027	+	0.688228i	−0.482171	+	0.876077i	$0.660152\pi$
$194$	−8.15288	+	5.84896i	−0.585343	+	0.419931i
$195$	5.61703	+	1.82508i	0.402244	+	0.130697i
$196$	10.0794	+	0.121029i	0.719958	+	0.00864495i
$197$	7.10914			0.506505			0.253253	−	0.967400i	$-0.418500\pi$
$197$	7.10914			0.506505			0.253253	+	0.967400i	$0.418500\pi$
$198$	−4.67939	−	0.321478i	−0.332549	−	0.0228465i
$199$			24.2455i			1.71872i	0.511370	+	0.859361i	$0.329138\pi$
$199$			24.2455i			1.71872i	−0.511370	+	0.859361i	$0.670862\pi$
$200$	−1.12462	−	3.68581i	−0.0795227	−	0.260626i
$201$	−3.04038	+	9.35733i	−0.214452	+	0.660016i
$202$	−7.32959	+	5.25832i	−0.515708	+	0.369974i
$203$	2.29309	−	1.66603i	0.160943	−	0.116932i
$204$	−6.86138	−	2.32084i	−0.480393	−	0.162491i
$205$	−3.48251	−	10.7181i	−0.243229	−	0.748582i
$206$	0.0904389	−	15.0642i	0.00630118	−	1.04957i
$207$	−4.21529	+	5.80185i	−0.292983	+	0.403256i
$208$	3.10726	−	8.83541i	0.215450	−	0.612626i
$209$	12.1035	+	19.0619i	0.837216	+	1.31854i
$210$	−11.7947	+	3.75419i	−0.813910	+	0.259064i
$211$	−15.0538	+	20.7198i	−1.03635	+	1.42641i	−0.136276	+	0.990671i	$0.543513\pi$
$211$	−15.0538	+	20.7198i	−1.03635	+	1.42641i	−0.900072	+	0.435741i	$0.856487\pi$
$212$	−26.5254	+	8.26785i	−1.82177	+	0.567839i
$213$	−6.38973	+	2.07615i	−0.437817	+	0.142255i
$214$	−10.1473	+	13.7916i	−0.693652	+	0.942776i
$215$	−12.0527	+	8.75679i	−0.821987	+	0.597208i
$216$	−0.922336	+	2.67382i	−0.0627570	+	0.181930i
$217$	−19.6503	−	6.38477i	−1.33395	−	0.433426i
$218$	1.56587	−	4.72258i	0.106054	−	0.319854i
$219$			4.45083i			0.300759i
$220$	10.8161	−	12.7656i	0.729220	−	0.860655i
$221$			8.47994i			0.570422i
$222$	2.77710	+	0.920804i	0.186387	+	0.0618004i
$223$	0.321670	+	0.104517i	0.0215406	+	0.00699897i	0.319767	−	0.947496i	$-0.396395\pi$
$223$	0.321670	+	0.104517i	0.0215406	+	0.00699897i	−0.298227	+	0.954495i	$0.596395\pi$
$224$	5.50256	+	18.8416i	0.367655	+	1.25890i
$225$	1.10224	−	0.800824i	0.0734826	−	0.0533883i
$226$	−18.9356	−	13.9320i	−1.25958	−	0.926743i
$227$	6.94794	−	2.25752i	0.461151	−	0.149837i	−0.0692224	−	0.997601i	$-0.522052\pi$
$227$	6.94794	−	2.25752i	0.461151	−	0.149837i	0.530373	+	0.847764i	$0.322052\pi$
$228$	12.9993	−	4.05183i	0.860901	−	0.268339i
$229$	−5.47704	+	7.53850i	−0.361933	+	0.498158i	−0.950686	−	0.310155i	$-0.899619\pi$
$229$	−5.47704	+	7.53850i	−0.361933	+	0.498158i	0.588753	+	0.808313i	$0.299619\pi$
$230$	−7.75909	−	24.3770i	−0.511619	−	1.60737i
$231$	−8.86907	−	7.33351i	−0.583542	−	0.482510i
$232$	1.84442	+	1.39148i	0.121092	+	0.0913552i
$233$	−0.710006	+	0.977239i	−0.0465140	+	0.0640211i	−0.831640	−	0.555314i	$-0.812598\pi$
$233$	−0.710006	+	0.977239i	−0.0465140	+	0.0640211i	0.785126	+	0.619335i	$0.212598\pi$
$234$	3.31128	+	0.0198795i	0.216465	+	0.00129956i
$235$	−5.17405	−	15.9241i	−0.337518	−	1.03877i
$236$	−5.12741	+	15.1588i	−0.333766	+	0.986752i
$237$	10.7142	−	7.78432i	0.695962	−	0.505646i
$238$	−10.3596	−	14.4402i	−0.671510	−	0.936021i
$239$	5.06492	−	15.5882i	0.327623	−	1.00832i	−0.642620	−	0.766185i	$-0.722153\pi$
$239$	5.06492	−	15.5882i	0.327623	−	1.00832i	0.970243	−	0.242134i	$-0.0778474\pi$
$240$	−5.73278	−	8.30267i	−0.370050	−	0.535935i
$241$			10.8639i			0.699808i	0.936786	+	0.349904i	$0.113786\pi$
$241$			10.8639i			0.699808i	−0.936786	+	0.349904i	$0.886214\pi$
$242$	15.4227	+	2.03488i	0.991408	+	0.130807i
$243$	−1.00000			−0.0641500
$244$	19.2271	+	0.230871i	1.23089	+	0.0147800i
$245$	−12.0908	−	3.92854i	−0.772452	−	0.250985i
$246$	−3.68316	−	5.13397i	−0.234830	−	0.327330i
$247$	−9.36982	−	12.8965i	−0.596188	−	0.820582i
$248$	0.303316	−	16.8392i	0.0192606	−	1.06929i
$249$	−3.80213	+	1.23539i	−0.240950	+	0.0782895i
$250$	0.0779002	−	12.9756i	0.00492684	−	0.820652i
$251$	−4.78591	−	3.47716i	−0.302084	−	0.219477i	0.426409	−	0.904531i	$-0.359779\pi$
$251$	−4.78591	−	3.47716i	−0.302084	−	0.219477i	−0.728492	+	0.685054i	$0.759779\pi$
$252$	−5.66296	+	4.01138i	−0.356733	+	0.252693i
$253$	15.1568	−	18.3304i	0.952897	−	1.15242i
$254$	−8.58030	−	26.9570i	−0.538376	−	1.69144i
$255$	7.39050	+	5.36951i	0.462811	+	0.336252i
$256$	−13.3809	+	8.77227i	−0.836303	+	0.548267i
$257$	5.17047	+	15.9131i	0.322525	+	0.992630i	0.972545	+	0.232713i	$0.0747603\pi$
$257$	5.17047	+	15.9131i	0.322525	+	0.992630i	−0.650021	+	0.759917i	$0.725240\pi$
$258$	−4.95010	+	6.72792i	−0.308180	+	0.418862i
$259$	4.21949	+	5.80763i	0.262186	+	0.360868i
$260$	−7.05727	+	9.47221i	−0.437673	+	0.587441i
$261$	−0.252424	+	0.776881i	−0.0156247	+	0.0480878i
$262$	20.7044	+	6.86495i	1.27912	+	0.424118i
$263$	−16.8522			−1.03915			−0.519576	−	0.854424i	$-0.673910\pi$
$263$	−16.8522			−1.03915			−0.519576	+	0.854424i	$0.673910\pi$
$264$	3.60774	−	8.65934i	0.222041	−	0.532946i
$265$	35.0411			2.15256
$266$	31.7106	+	10.5143i	1.94430	+	0.644672i
$267$	−0.924892	+	2.84653i	−0.0566025	+	0.174205i
$268$	−15.7796	−	11.7566i	−0.963894	−	0.718149i
$269$	−1.03833	−	1.42914i	−0.0633083	−	0.0871365i	0.776189	−	0.630501i	$-0.217150\pi$
$269$	−1.03833	−	1.42914i	−0.0633083	−	0.0871365i	−0.839497	+	0.543364i	$0.817150\pi$
$270$	2.11403	−	2.87328i	0.128656	−	0.174862i
$271$	−1.12583	−	3.46495i	−0.0683893	−	0.210480i	0.911021	−	0.412359i	$-0.135295\pi$
$271$	−1.12583	−	3.46495i	−0.0683893	−	0.210480i	−0.979410	+	0.201879i	$0.935295\pi$
$272$	8.79393	−	11.5120i	0.533210	−	0.698018i
$273$	6.57295	+	4.77553i	0.397813	+	0.289028i
$274$	0.574008	+	1.80338i	0.0346771	+	0.108946i
$275$	−3.81469	+	2.42217i	−0.230034	+	0.146062i
$276$	−8.29065	−	11.7041i	−0.499039	−	0.704503i
$277$	−14.8332	−	10.7770i	−0.891242	−	0.647525i	0.0449597	−	0.998989i	$-0.485684\pi$
$277$	−14.8332	−	10.7770i	−0.891242	−	0.647525i	−0.936201	+	0.351464i	$0.885684\pi$
$278$	−0.0338628	+	5.64044i	−0.00203095	+	0.338291i
$279$	5.66310	−	1.84005i	0.339041	−	0.110161i
$280$	0.445834	−	24.7515i	0.0266437	−	1.47918i
$281$	8.29184	+	11.4127i	0.494650	+	0.680827i	0.981237	−	0.192805i	$-0.0617584\pi$
$281$	8.29184	+	11.4127i	0.494650	+	0.680827i	−0.486587	+	0.873632i	$0.661758\pi$
$282$	−5.47215	−	7.62765i	−0.325862	−	0.454220i
$283$	−27.2402	−	8.85089i	−1.61926	−	0.526131i	−0.647496	−	0.762068i	$-0.724184\pi$
$283$	−27.2402	−	8.85089i	−1.61926	−	0.526131i	−0.971768	+	0.235937i	$0.924184\pi$
$284$	0.161336	−	13.4362i	0.00957351	−	0.797289i
$285$	−17.1726			−1.01722
$286$	−10.9566	−	0.752732i	−0.647879	−	0.0445100i
$287$		−	15.5029i		−	0.915106i
$288$	−4.47464	−	3.46087i	−0.263670	−	0.203934i
$289$	1.20015	−	3.69369i	0.0705973	−	0.217276i
$290$	−1.69857	−	2.36764i	−0.0997433	−	0.139033i
$291$	5.74003	−	4.17037i	0.336486	−	0.244472i
$292$	−8.43234	−	2.85221i	−0.493466	−	0.166913i
$293$	5.28447	+	16.2639i	0.308722	+	0.950149i	0.978262	+	0.207373i	$0.0664914\pi$
$293$	5.28447	+	16.2639i	0.308722	+	0.950149i	−0.669540	+	0.742776i	$0.733509\pi$
$294$	−7.12761	−	0.0427911i	−0.415690	−	0.00249563i
$295$	11.8628	−	16.3278i	0.690679	−	0.950639i
$296$	−3.52416	+	4.67130i	−0.204838	+	0.271514i
$297$	3.31013	+	0.207451i	0.192073	+	0.0120375i
$298$	2.00452	+	6.29769i	0.116119	+	0.364815i
$299$	−9.86997	+	13.5848i	−0.570795	+	0.785632i
$300$	0.810860	+	2.60144i	0.0468150	+	0.150194i
$301$	−19.4911	+	6.33303i	−1.12345	+	0.365030i
$302$	0.812100	+	0.597507i	0.0467311	+	0.0343826i
$303$	5.16038	−	3.74924i	0.296456	−	0.215388i
$304$	−0.653893	+	27.2244i	−0.0375034	+	1.56143i
$305$	−23.0640	−	7.49394i	−1.32064	−	0.429102i
$306$	4.86150	+	1.61193i	0.277913	+	0.0921477i
$307$			20.4466i			1.16695i	0.812131	+	0.583476i	$0.198308\pi$
$307$			20.4466i			1.16695i	−0.812131	+	0.583476i	$0.801692\pi$
$308$	19.5773	−	12.1034i	1.11552	−	0.689656i
$309$			10.6522i			0.605982i
$310$	−6.68499	+	20.1616i	−0.379682	+	1.14510i
$311$	17.0796	+	5.54949i	0.968494	+	0.314683i	0.750208	−	0.661202i	$-0.229953\pi$
$311$	17.0796	+	5.54949i	0.968494	+	0.314683i	0.218286	+	0.975885i	$0.429953\pi$
$312$	−2.15962	+	6.26066i	−0.122264	+	0.354440i
$313$	−19.0162	+	13.8161i	−1.07486	+	0.780931i	−0.976779	−	0.214248i	$-0.931270\pi$
$313$	−19.0162	+	13.8161i	−1.07486	+	0.780931i	−0.0980794	+	0.995179i	$0.531270\pi$
$314$	9.66912	−	13.1418i	0.545660	−	0.741632i
$315$	8.32401	−	2.70464i	0.469005	−	0.152389i
$316$	7.88187	+	25.2870i	0.443390	+	1.42251i
$317$	−19.0205	+	26.1795i	−1.06830	+	1.47039i	−0.196515	+	0.980501i	$0.562962\pi$
$317$	−19.0205	+	26.1795i	−1.06830	+	1.47039i	−0.871785	+	0.489888i	$0.837038\pi$
$318$	18.7208	−	5.95875i	1.04981	−	0.334150i
$319$	0.996722	−	2.51921i	0.0558057	−	0.141049i
$320$	19.4036	−	5.54050i	1.08469	−	0.309723i
$321$	7.11652	−	9.79505i	0.397205	−	0.546706i
$322$	0.211271	−	35.1909i	0.0117737	−	1.96111i
$323$	−7.61923	−	23.4496i	−0.423945	−	1.30477i
$324$	0.640828	−	1.89456i	0.0356015	−	0.105253i
$325$	2.58086	−	1.87510i	0.143160	−	0.104012i
$326$	−15.6852	+	11.2527i	−0.868721	+	0.623229i
$327$	−1.08717	+	3.34596i	−0.0601205	+	0.185032i
$328$	12.0869	−	3.68796i	0.667385	−	0.203633i
$329$		−	23.0330i		−	1.26985i
$330$	−7.59379	+	9.07238i	−0.418024	+	0.499418i
$331$	4.86677			0.267502			0.133751	−	0.991015i	$-0.457298\pi$
$331$	4.86677			0.267502			0.133751	+	0.991015i	$0.457298\pi$
$332$	0.0960008	−	7.99502i	0.00526873	−	0.438784i
$333$	−1.96758	−	0.639306i	−0.107823	−	0.0350338i
$334$	−13.5535	+	9.72340i	−0.741614	+	0.532041i
$335$	14.5874	+	20.0778i	0.796992	+	1.09697i
$336$	−3.97081	−	13.2994i	−0.216626	−	0.725541i
$337$	−22.9644	+	7.46157i	−1.25095	+	0.406458i	−0.858261	−	0.513214i	$-0.828455\pi$
$337$	−22.9644	+	7.46157i	−1.25095	+	0.406458i	−0.392688	+	0.919672i	$0.628455\pi$
$338$	−10.6312	−	0.0638251i	−0.578261	−	0.00347163i
$339$	13.4484	+	9.77085i	0.730418	+	0.530680i
$340$	−14.9089	+	10.5608i	−0.808548	+	0.572739i
$341$	−19.1273	+	4.91600i	−1.03580	+	0.266216i
$342$	−9.17454	+	2.92021i	−0.496102	+	0.157907i
$343$	5.50190	+	3.99737i	0.297075	+	0.215837i
$344$	−9.57425	−	13.6897i	−0.516209	−	0.738098i
$345$	5.58989	+	17.2039i	0.300949	+	0.926227i
$346$	5.55796	+	4.08930i	0.298798	+	0.219842i
$347$	−0.447412	−	0.615809i	−0.0240183	−	0.0330584i	0.796839	−	0.604192i	$-0.206504\pi$
$347$	−0.447412	−	0.615809i	−0.0240183	−	0.0330584i	−0.820857	+	0.571133i	$0.806504\pi$
$348$	−1.31008	−	0.976078i	−0.0702279	−	0.0523233i
$349$	6.30428	−	19.4026i	0.337460	−	1.03860i	−0.628037	−	0.778183i	$-0.716141\pi$
$349$	6.30428	−	19.4026i	0.337460	−	1.03860i	0.965497	−	0.260413i	$-0.0838586\pi$
$350$	−2.10413	+	6.34597i	−0.112471	+	0.339207i
$351$	−2.34147			−0.124978
$352$	14.0937	+	12.3842i	0.751195	+	0.660080i
$353$	8.47666			0.451167			0.225583	−	0.974224i	$-0.427571\pi$
$353$	8.47666			0.451167			0.225583	+	0.974224i	$0.427571\pi$
$354$	3.56121	−	10.7404i	0.189276	−	0.570848i
$355$	−5.23686	+	16.1174i	−0.277944	+	0.855422i
$356$	−4.80020	−	3.57639i	−0.254410	−	0.189548i
$357$	7.38648	+	10.1666i	0.390934	+	0.538074i
$358$	16.6177	+	12.2266i	0.878274	+	0.646194i
$359$	−0.249005	−	0.766359i	−0.0131420	−	0.0404469i	0.944270	−	0.329171i	$-0.106769\pi$
$359$	−0.249005	−	0.766359i	−0.0131420	−	0.0404469i	−0.957412	+	0.288724i	$0.906769\pi$
$360$	4.08886	+	5.84643i	0.215502	+	0.308134i
$361$	22.1265	+	16.0759i	1.16455	+	0.846098i
$362$	−9.20224	+	2.92903i	−0.483659	+	0.153946i
$363$	−10.9139	−	1.37338i	−0.572833	−	0.0720838i
$364$	−13.2596	+	9.39253i	−0.694994	+	0.492302i
$365$	9.08261	+	6.59890i	0.475406	+	0.345402i
$366$	−13.5964	−	0.0816267i	−0.710693	−	0.00426670i
$367$	18.2008	−	5.91378i	0.950072	−	0.308697i	0.207327	−	0.978272i	$-0.433524\pi$
$367$	18.2008	−	5.91378i	0.950072	−	0.308697i	0.742745	+	0.669575i	$0.233524\pi$
$368$	27.4869	−	8.20680i	1.43285	−	0.427809i
$369$	2.62613	+	3.61456i	0.136711	+	0.188167i
$370$	5.99644	−	4.30191i	0.311740	−	0.223645i
$371$	45.8444	+	14.8957i	2.38012	+	0.773349i
$372$	−0.142989	+	11.9082i	−0.00741363	+	0.617412i
$373$	−6.55679			−0.339498			−0.169749	−	0.985487i	$-0.554296\pi$
$373$	−6.55679			−0.339498			−0.169749	+	0.985487i	$0.554296\pi$
$374$	−15.7578	−	6.34421i	−0.814816	−	0.328051i
$375$			9.17533i			0.473812i
$376$	17.9577	−	5.47929i	0.926099	−	0.282573i
$377$	−0.591043	+	1.81904i	−0.0304403	+	0.0936855i
$378$	3.98721	−	2.86047i	0.205080	−	0.147126i
$379$	13.9245	−	10.1167i	0.715254	−	0.519662i	−0.169610	−	0.985511i	$-0.554251\pi$
$379$	13.9245	−	10.1167i	0.715254	−	0.519662i	0.884864	+	0.465849i	$0.154251\pi$
$380$	11.0047	−	32.5345i	0.564528	−	1.66898i
$381$	6.18151	+	19.0247i	0.316689	+	0.974667i
$382$	−0.101080	+	16.8367i	−0.00517171	+	0.861438i
$383$	1.18431	−	1.63006i	0.0605154	−	0.0832923i	−0.777687	−	0.628652i	$-0.783607\pi$
$383$	1.18431	−	1.63006i	0.0605154	−	0.0832923i	0.838202	+	0.545360i	$0.183607\pi$
$384$	9.42428	−	6.25962i	0.480931	−	0.319435i
$385$	−28.1147	+	7.22587i	−1.43286	+	0.368265i
$386$	15.9262	−	5.06925i	0.810624	−	0.258018i
$387$	3.47163	−	4.77829i	0.176473	−	0.242894i
$388$	4.22264	+	13.5473i	0.214372	+	0.687759i
$389$	19.3927	−	6.30107i	0.983249	−	0.319477i	0.227097	−	0.973872i	$-0.427077\pi$
$389$	19.3927	−	6.30107i	0.983249	−	0.319477i	0.756153	+	0.654395i	$0.227077\pi$
$390$	4.94994	−	6.72770i	0.250650	−	0.340670i
$391$	−21.0122	+	15.2662i	−1.06263	+	0.772047i
$392$	4.64864	−	13.4762i	0.234792	−	0.680652i
$393$	−14.6691	−	4.76627i	−0.739957	−	0.240427i
$394$	3.16416	−	9.54295i	0.159408	−	0.480767i
$395$		−	33.4052i		−	1.68080i
$396$	−2.51425	+	6.13829i	−0.126346	+	0.308460i
$397$		−	16.0438i		−	0.805217i	−0.915372	−	0.402608i	$-0.868104\pi$
$397$		−	16.0438i		−	0.805217i	0.915372	−	0.402608i	$-0.131896\pi$
$398$	32.5460	+	10.7913i	1.63138	+	0.540918i
$399$	−22.4670	−	7.29997i	−1.12476	−	0.365456i
$400$	−5.44820	−	0.130858i	−0.272410	−	0.00654291i
$401$	10.2918	−	7.47745i	0.513949	−	0.373406i	−0.300370	−	0.953823i	$-0.597110\pi$
$401$	10.2918	−	7.47745i	0.513949	−	0.373406i	0.814320	+	0.580417i	$0.197110\pi$
$402$	11.2076	+	8.24604i	0.558984	+	0.411275i
$403$	13.2600	−	4.30843i	0.660527	−	0.214618i
$404$	3.79622	+	12.1792i	0.188869	+	0.605940i
$405$	−1.48262	+	2.04066i	−0.0736721	+	0.101401i
$406$	−1.21577	−	3.81964i	−0.0603379	−	0.189566i
$407$	6.38033	+	2.52436i	0.316261	+	0.125128i
$408$	−6.16926	+	8.17741i	−0.305424	+	0.404842i
$409$	18.7338	−	25.7849i	0.926329	−	1.27498i	−0.0349457	−	0.999389i	$-0.511126\pi$
$409$	18.7338	−	25.7849i	0.926329	−	1.27498i	0.961274	−	0.275593i	$-0.0888742\pi$
$410$	−15.9374	−	0.0956812i	−0.787091	−	0.00472536i
$411$	−0.413533	−	1.27272i	−0.0203981	−	0.0627788i
$412$	−20.1812	−	6.82621i	−0.994254	−	0.336303i
$413$	22.4610	−	16.3189i	1.10523	−	0.802999i
$414$	5.91195	+	8.24070i	0.290557	+	0.405008i
$415$	−3.11613	+	9.59045i	−0.152965	+	0.470777i
$416$	−10.4772	−	8.10352i	−0.513688	−	0.397308i
$417$		−	3.98846i		−	0.195316i
$418$	30.9747	−	7.76301i	1.51502	−	0.379701i
$419$	−14.2948			−0.698346			−0.349173	−	0.937058i	$-0.613537\pi$
$419$	−14.2948			−0.698346			−0.349173	+	0.937058i	$0.613537\pi$
$420$	−0.210175	+	17.5035i	−0.0102555	+	0.854084i
$421$	7.03822	+	2.28685i	0.343022	+	0.111454i	0.475461	−	0.879737i	$-0.342281\pi$
$421$	7.03822	+	2.28685i	0.343022	+	0.111454i	−0.132440	+	0.991191i	$0.542281\pi$
$422$	21.1130	+	29.4295i	1.02777	+	1.43261i
$423$	3.90171	+	5.37024i	0.189707	+	0.261110i
$424$	−0.707640	+	39.2862i	−0.0343661	+	1.90791i
$425$	4.69277	−	1.52477i	0.227633	−	0.0739623i
$426$	−0.0570418	+	9.50131i	−0.00276368	+	0.460340i
$427$	−26.9891	−	19.6087i	−1.30609	−	0.948932i
$428$	13.9968	+	19.7596i	0.676561	+	0.955115i
$429$	7.75057	+	0.485740i	0.374201	+	0.0234518i
$430$	6.39023	+	20.0764i	0.308164	+	0.968171i
$431$	7.95812	+	5.78191i	0.383329	+	0.278505i	0.762716	−	0.646733i	$-0.223865\pi$
$431$	7.95812	+	5.78191i	0.383329	+	0.278505i	−0.379387	+	0.925238i	$0.623865\pi$
$432$	3.17868	+	2.42817i	0.152934	+	0.116825i
$433$	−8.69388	−	26.7570i	−0.417801	−	1.28586i	−0.909721	−	0.415220i	$-0.863705\pi$
$433$	−8.69388	−	26.7570i	−0.417801	−	1.28586i	0.491920	−	0.870640i	$-0.336295\pi$
$434$	−17.3166	+	23.5358i	−0.831223	+	1.12975i
$435$	1.21110	+	1.66693i	0.0580677	+	0.0799233i
$436$	−5.64241	−	4.20388i	−0.270223	−	0.201329i
$437$	15.0874	−	46.4344i	0.721730	−	2.22126i
$438$	5.97457	+	1.98099i	0.285476	+	0.0946553i
$439$	−32.6121			−1.55649			−0.778245	−	0.627960i	$-0.783890\pi$
$439$	−32.6121			−1.55649			−0.778245	+	0.627960i	$0.783890\pi$
$440$	−12.3218	−	20.2007i	−0.587420	−	0.963030i
$441$	5.04007			0.240003
$442$	11.3830	+	3.77428i	0.541436	+	0.179524i
$443$	−5.00926	+	15.4169i	−0.237997	+	0.732479i	0.758713	+	0.651425i	$0.225829\pi$
$443$	−5.00926	+	15.4169i	−0.237997	+	0.732479i	−0.996710	+	0.0810540i	$0.974171\pi$
$444$	2.47208	−	3.31801i	0.117320	−	0.157466i
$445$	4.43751	+	6.10771i	0.210358	+	0.289533i
$446$	0.283468	−	0.385275i	0.0134226	−	0.0182433i
$447$	−1.44412	−	4.44455i	−0.0683046	−	0.210220i
$448$	27.7410	+	0.999692i	1.31064	+	0.0472310i
$449$	−22.1505	−	16.0933i	−1.04535	−	0.759490i	−0.0740259	−	0.997256i	$-0.523585\pi$
$449$	−22.1505	−	16.0933i	−1.04535	−	0.759490i	−0.971322	+	0.237766i	$0.923585\pi$
$450$	−0.584397	−	1.83602i	−0.0275488	−	0.0865510i
$451$	−7.94300	−	12.5095i	−0.374021	−	0.589048i
$452$	−27.1295	+	19.2174i	−1.27607	+	0.903908i
$453$	−0.576767	−	0.419046i	−0.0270989	−	0.0196885i
$454$	0.0620249	−	10.3313i	0.00291097	−	0.484874i
$455$	19.4904	−	6.33282i	0.913725	−	0.296887i
$456$	0.346794	−	19.2530i	0.0162401	−	0.901605i
$457$	−2.48389	−	3.41878i	−0.116191	−	0.159924i	0.746960	−	0.664869i	$-0.231513\pi$
$457$	−2.48389	−	3.41878i	−0.116191	−	0.159924i	−0.863151	+	0.504945i	$0.831513\pi$
$458$	7.68156	+	10.7074i	0.358936	+	0.500322i
$459$	−3.44438	−	1.11915i	−0.160770	−	0.0522373i
$460$	−36.1759	−	0.434385i	−1.68671	−	0.0202533i
$461$	15.4388			0.719059			0.359529	−	0.933134i	$-0.382937\pi$
$461$	15.4388			0.719059			0.359529	+	0.933134i	$0.382937\pi$
$462$	−13.7916	+	8.64136i	−0.641644	+	0.402033i
$463$		−	2.29618i		−	0.106712i	−0.998576	−	0.0533562i	$-0.983008\pi$
$463$		−	2.29618i		−	0.106712i	0.998576	−	0.0533562i	$-0.0169919\pi$
$464$	2.68877	−	1.85653i	0.124823	−	0.0861872i
$465$	4.64133	−	14.2845i	0.215237	−	0.662430i
$466$	0.995785	+	1.38803i	0.0461288	+	0.0642992i
$467$	29.1415	−	21.1725i	1.34851	−	0.979748i	0.349422	−	0.936965i	$-0.386378\pi$
$467$	29.1415	−	21.1725i	1.34851	−	0.979748i	0.999084	−	0.0427822i	$-0.0136222\pi$
$468$	1.50048	−	4.43604i	0.0693596	−	0.205056i
$469$	10.5498	+	32.4688i	0.487143	+	1.49927i
$470$	−23.6785	−	0.142156i	−1.09221	−	0.00655716i
$471$	−6.78119	+	9.33350i	−0.312461	+	0.430065i
$472$	18.0662	+	13.6297i	0.831566	+	0.627357i
$473$	−12.4828	+	15.0966i	−0.573960	+	0.694140i
$474$	−5.68057	−	17.8469i	−0.260917	−	0.819733i
$475$	−5.45207	+	7.50413i	−0.250158	+	0.344313i
$476$	−23.9947	+	7.47905i	−1.09979	+	0.342802i
$477$	−13.2121	+	4.29287i	−0.604940	+	0.196557i
$478$	−18.6705	−	13.7370i	−0.853971	−	0.628314i
$479$	−9.19805	+	6.68277i	−0.420270	+	0.305344i	−0.777746	−	0.628578i	$-0.783637\pi$
$479$	−9.19805	+	6.68277i	−0.420270	+	0.305344i	0.357477	+	0.933922i	$0.383637\pi$
$480$	−13.6966	+	4.00002i	−0.625163	+	0.182575i
$481$	−4.60703	−	1.49692i	−0.210063	−	0.0682535i
$482$	14.5832	+	4.83535i	0.664246	+	0.220244i
$483$			24.8842i			1.13227i
$484$	9.59589	−	19.7969i	0.436177	−	0.899861i
$485$		−	17.8965i		−	0.812638i
$486$	−0.445083	+	1.34235i	−0.0201894	+	0.0608902i
$487$	−6.15510	−	1.99991i	−0.278914	−	0.0906247i	0.166220	−	0.986089i	$-0.446844\pi$
$487$	−6.15510	−	1.99991i	−0.278914	−	0.0906247i	−0.445134	+	0.895464i	$0.646844\pi$
$488$	8.86757	−	25.7068i	0.401416	−	1.16369i
$489$	11.0431	−	8.02330i	0.499387	−	0.362826i
$490$	−10.6549	+	14.4815i	−0.481338	+	0.654209i
$491$	15.3305	−	4.98117i	0.691854	−	0.224797i	0.0580762	−	0.998312i	$-0.481503\pi$
$491$	15.3305	−	4.98117i	0.691854	−	0.224797i	0.633778	+	0.773515i	$0.281503\pi$
$492$	−8.53089	+	2.65904i	−0.384602	+	0.119879i
$493$	−1.73889	+	2.39337i	−0.0783156	+	0.107792i
$494$	−21.4819	+	6.83758i	−0.966516	+	0.307637i
$495$	5.33101	−	6.44726i	0.239611	−	0.289783i
$496$	−22.4692	−	7.90202i	−1.00889	−	0.354811i
$497$	−13.7028	+	18.8603i	−0.614655	+	0.846000i
$498$	−0.0339420	+	5.65364i	−0.00152098	+	0.253346i
$499$	5.50777	+	16.9512i	0.246562	+	0.758839i	0.995376	+	0.0960588i	$0.0306237\pi$
$499$	5.50777	+	16.9512i	0.246562	+	0.758839i	−0.748814	+	0.662780i	$0.769376\pi$
$500$	−17.3832	−	5.87981i	−0.777399	−	0.262953i
$501$	9.54231	−	6.93290i	0.426319	−	0.309739i
$502$	−6.79769	+	4.87673i	−0.303396	+	0.217659i
$503$	−9.28405	+	28.5734i	−0.413955	+	1.27402i	0.499227	+	0.866471i	$0.333618\pi$
$503$	−9.28405	+	28.5734i	−0.413955	+	1.27402i	−0.913182	+	0.407552i	$0.866382\pi$
$504$	2.86419	+	9.38706i	0.127581	+	0.418133i
$505$		−	16.0893i		−	0.715963i
$506$	−17.8598	−	28.5042i	−0.793965	−	1.26717i
$507$	7.51752			0.333865
$508$	−40.0047	−	0.480360i	−1.77492	−	0.0213125i
$509$	−11.9982	−	3.89847i	−0.531813	−	0.172797i	0.0307867	−	0.999526i	$-0.490199\pi$
$509$	−11.9982	−	3.89847i	−0.531813	−	0.172797i	−0.562600	+	0.826729i	$0.690199\pi$
$510$	10.4971	−	7.53076i	0.464822	−	0.333468i
$511$	9.07767	+	12.4943i	0.401572	+	0.552717i
$512$	5.81986	+	21.8662i	0.257204	+	0.966357i
$513$	6.47486	−	2.10381i	0.285872	−	0.0928855i
$514$	23.6622	+	0.142058i	1.04369	+	0.00626589i
$515$	21.7374	+	15.7932i	0.957866	+	0.695930i
$516$	6.82801	+	9.63925i	0.300586	+	0.424344i
$517$	−11.8011	−	18.5856i	−0.519012	−	0.817394i
$518$	9.67389	−	3.07915i	0.425046	−	0.135290i
$519$	−3.94736	−	2.86793i	−0.173270	−	0.125888i
$520$	9.57394	+	13.6892i	0.419845	+	0.600313i
$521$	−7.21311	−	22.1997i	−0.316012	−	0.972585i	−0.975336	−	0.220726i	$-0.929157\pi$
$521$	−7.21311	−	22.1997i	−0.316012	−	0.972585i	0.659324	−	0.751859i	$-0.270843\pi$
$522$	0.930497	+	0.684618i	0.0407267	+	0.0299649i
$523$	0.325225	+	0.447634i	0.0142211	+	0.0195737i	0.816068	−	0.577955i	$-0.196149\pi$
$523$	0.325225	+	0.447634i	0.0142211	+	0.0195737i	−0.801847	+	0.597529i	$0.796149\pi$
$524$	18.4303	−	24.7370i	0.805132	−	1.08064i
$525$	1.46088	−	4.49613i	0.0637581	−	0.196227i
$526$	−7.50063	+	22.6216i	−0.327043	+	0.986347i
$527$	21.5652			0.939393
$528$	−10.0181	−	8.69697i	−0.435983	−	0.378487i
$529$	−28.4301			−1.23609
$530$	15.5962	−	47.0374i	0.677455	−	2.04317i
$531$	−2.47252	+	7.60962i	−0.107298	+	0.330230i
$532$	28.2277	−	37.8870i	1.22382	−	1.64261i
$533$	6.14901	+	8.46338i	0.266343	+	0.366590i
$534$	3.40938	+	2.50847i	0.147538	+	0.108552i
$535$	−9.43720	−	29.0447i	−0.408006	−	1.25571i
$536$	−22.8047	+	15.9491i	−0.985014	+	0.688896i
$537$	−11.8022	−	8.57479i	−0.509302	−	0.370030i
$538$	−2.38055	+	0.757719i	−0.102633	+	0.0326676i
$539$	−16.6833	−	1.04557i	−0.718600	−	0.0450358i
$540$	−2.91603	−	4.11662i	−0.125486	−	0.177151i
$541$	25.0174	+	18.1762i	1.07558	+	0.781457i	0.976908	−	0.213662i	$-0.0685392\pi$
$541$	25.0174	+	18.1762i	1.07558	+	0.781457i	0.0986763	+	0.995120i	$0.468539\pi$
$542$	−5.15225	−	0.0309319i	−0.221308	−	0.00132864i
$543$	6.49441	−	2.11016i	0.278702	−	0.0905557i
$544$	−11.5391	−	16.9283i	−0.494735	−	0.725796i
$545$	5.21608	+	7.17932i	0.223433	+	0.307528i
$546$	9.33594	−	6.69769i	0.399541	−	0.286635i
$547$	23.4570	+	7.62163i	1.00295	+	0.325878i	0.764043	−	0.645165i	$-0.223212\pi$
$547$	23.4570	+	7.62163i	1.00295	+	0.325878i	0.238905	+	0.971043i	$0.423212\pi$
$548$	2.67625	+	0.0321353i	0.114324	+	0.00137275i
$549$	9.61426			0.410326
$550$	1.55355	+	6.19871i	0.0662434	+	0.264314i
$551$		−	5.56125i		−	0.236917i
$552$	−19.4010	+	5.91966i	−0.825761	+	0.251958i
$553$	14.2003	−	43.7041i	0.603860	−	1.85849i
$554$	−21.0685	+	15.1147i	−0.895113	+	0.642163i
$555$	−4.22179	+	3.06731i	−0.179205	+	0.130200i
$556$	7.55636	+	2.55592i	0.320461	+	0.108395i
$557$	−10.6572	−	32.7996i	−0.451562	−	1.38976i	−0.875125	−	0.483898i	$-0.839221\pi$
$557$	−10.6572	−	32.7996i	−0.451562	−	1.38976i	0.423563	−	0.905867i	$-0.360779\pi$
$558$	0.0505551	−	8.42084i	0.00214017	−	0.356483i
$559$	8.12871	−	11.1882i	0.343808	−	0.473211i
$560$	−33.0267	−	11.6149i	−1.39563	−	0.490820i
$561$	11.1692	+	4.41906i	0.471563	+	0.186573i
$562$	19.0104	−	6.05093i	0.801907	−	0.255243i
$563$	1.49049	−	2.05149i	0.0628168	−	0.0864600i	−0.776453	−	0.630175i	$-0.782983\pi$
$563$	1.49049	−	2.05149i	0.0628168	−	0.0864600i	0.839270	+	0.543716i	$0.182983\pi$
$564$	−12.6745	+	3.95060i	−0.533694	+	0.166350i
$565$	39.8779	−	12.9571i	1.67767	−	0.545110i
$566$	−24.0052	+	32.6265i	−1.00901	+	1.37140i
$567$	−2.80719	+	2.03954i	−0.117891	+	0.0856528i
$568$	−17.9642	−	6.19677i	−0.753761	−	0.260011i
$569$	−15.2106	−	4.94221i	−0.637660	−	0.207188i	−0.0276946	−	0.999616i	$-0.508817\pi$
$569$	−15.2106	−	4.94221i	−0.637660	−	0.207188i	−0.609965	+	0.792428i	$0.708817\pi$
$570$	−7.64323	+	23.0516i	−0.320140	+	0.965527i
$571$			8.45680i			0.353906i	0.984219	+	0.176953i	$0.0566241\pi$
$571$			8.45680i			0.353906i	−0.984219	+	0.176953i	$0.943376\pi$
$572$	−5.88704	+	14.3726i	−0.246149	+	0.600949i
$573$		−	11.9055i		−	0.497361i
$574$	−20.8103	−	6.90007i	−0.868604	−	0.288003i
$575$	9.29252	+	3.01932i	0.387525	+	0.125914i
$576$	−6.63728	+	4.46615i	−0.276553	+	0.186090i
$577$	−38.8626	+	28.2353i	−1.61787	+	1.17545i	−0.800625	+	0.599166i	$0.795499\pi$
$577$	−38.8626	+	28.2353i	−1.61787	+	1.17545i	−0.817247	+	0.576287i	$0.804501\pi$
$578$	−4.42406	−	3.25502i	−0.184017	−	0.135391i
$579$	−11.2398	+	3.65204i	−0.467111	+	0.151774i
$580$	−3.93420	+	1.22627i	−0.163359	+	0.0509183i
$581$	−8.15369	+	11.2226i	−0.338272	+	0.465591i
$582$	−3.04331	−	9.56128i	−0.126149	−	0.396328i
$583$	44.6243	−	11.4691i	1.84815	−	0.475001i
$584$	−7.58176	+	10.0497i	−0.313735	+	0.415859i
$585$	−3.47151	+	4.77813i	−0.143529	+	0.197551i
$586$	24.1839	+	0.145190i	0.999028	+	0.00599774i
$587$	−9.41855	−	28.9873i	−0.388745	−	1.19644i	−0.933727	−	0.357987i	$-0.883463\pi$
$587$	−9.41855	−	28.9873i	−0.388745	−	1.19644i	0.544981	−	0.838448i	$-0.316537\pi$
$588$	−3.22982	+	9.54869i	−0.133195	+	0.393781i
$589$	−32.7967	+	23.8282i	−1.35136	+	0.981824i
$590$	−16.6376	−	23.1912i	−0.684960	−	0.954768i
$591$	−2.19685	+	6.76120i	−0.0903662	+	0.278118i
$592$	4.70197	+	6.80977i	0.193250	+	0.279880i
$593$			8.98372i			0.368917i	0.982840	+	0.184459i	$0.0590532\pi$
$593$			8.98372i			0.368917i	−0.982840	+	0.184459i	$0.940947\pi$
$594$	1.75175	−	4.35102i	0.0718753	−	0.178524i
$595$	31.6979			1.29949
$596$	9.34587	+	0.112221i	0.382822	+	0.00459676i
$597$	−23.0589	−	7.49229i	−0.943737	−	0.306639i
$598$	13.8427	+	19.2953i	0.566068	+	0.789045i
$599$	−21.8522	−	30.0770i	−0.892857	−	1.22891i	−0.972691	−	0.232104i	$-0.925439\pi$
$599$	−21.8522	−	30.0770i	−0.892857	−	1.22891i	0.0798345	−	0.996808i	$-0.474561\pi$
$600$	3.85295	+	0.0694009i	0.157296	+	0.00283328i
$601$	11.6000	−	3.76907i	0.473175	−	0.153744i	−0.0627156	−	0.998031i	$-0.519976\pi$
$601$	11.6000	−	3.76907i	0.473175	−	0.153744i	0.535890	+	0.844288i	$0.319976\pi$
$602$	−0.173999	+	28.9825i	−0.00709165	+	1.18124i
$603$	−7.95982	−	5.78315i	−0.324149	−	0.235508i
$604$	1.16351	−	0.824181i	0.0473427	−	0.0335355i
$605$	−18.9838	+	20.2354i	−0.771803	+	0.822684i
$606$	−2.73599	−	8.59576i	−0.111142	−	0.349179i
$607$	−1.25260	−	0.910065i	−0.0508414	−	0.0369384i	0.562074	−	0.827087i	$-0.310003\pi$
$607$	−1.25260	−	0.910065i	−0.0508414	−	0.0369384i	−0.612916	+	0.790148i	$0.710003\pi$
$608$	36.2537	+	12.9949i	1.47028	+	0.527012i
$609$	0.875881	+	2.69569i	0.0354925	+	0.109235i
$610$	−20.3249	+	27.6245i	−0.822929	+	1.11848i
$611$	9.13573	+	12.5742i	0.369592	+	0.508700i
$612$	4.32754	−	5.80838i	0.174930	−	0.234790i
$613$	−7.12202	+	21.9193i	−0.287656	+	0.885314i	0.697934	+	0.716162i	$0.254103\pi$
$613$	−7.12202	+	21.9193i	−0.287656	+	0.885314i	−0.985590	+	0.169152i	$0.945897\pi$
$614$	27.4465	+	9.10045i	1.10765	+	0.367264i
$615$	11.2696			0.454436
$616$	−7.53350	−	31.6666i	−0.303533	−	1.27588i
$617$	−42.0365			−1.69233			−0.846163	−	0.532925i	$-0.821093\pi$
$617$	−42.0365			−1.69233			−0.846163	+	0.532925i	$0.821093\pi$
$618$	14.2990	+	4.74110i	0.575188	+	0.190715i
$619$	−9.13452	+	28.1132i	−0.367147	+	1.12996i	0.581478	+	0.813562i	$0.302475\pi$
$619$	−9.13452	+	28.1132i	−0.367147	+	1.12996i	−0.948625	+	0.316401i	$0.897525\pi$
$620$	24.0886	+	17.9472i	0.967420	+	0.720776i
$621$	−4.21529	−	5.80185i	−0.169154	−	0.232820i
$622$	15.0512	−	20.4568i	0.603497	−	0.820242i
$623$	3.20927	+	9.87710i	0.128577	+	0.395718i
$624$	7.44278	+	5.68548i	0.297950	+	0.227601i
$625$	24.2349	+	17.6077i	0.969395	+	0.704307i
$626$	10.0822	+	31.6757i	0.402966	+	1.26601i
$627$	−21.8691	+	5.62067i	−0.873367	+	0.224468i
$628$	−13.3373	−	18.8285i	−0.532215	−	0.751339i
$629$	−6.06162	−	4.40402i	−0.241693	−	0.175600i
$630$	0.0743093	−	12.3775i	0.00296055	−	0.493132i
$631$	4.94570	−	1.60696i	0.196885	−	0.0639719i	−0.208915	−	0.977934i	$-0.566993\pi$
$631$	4.94570	−	1.60696i	0.196885	−	0.0639719i	0.405800	+	0.913962i	$0.366993\pi$
$632$	37.4521	+	0.674604i	1.48977	+	0.0268343i
$633$	−15.0538	−	20.7198i	−0.598336	−	0.823539i
$634$	26.6764	+	37.1843i	1.05945	+	1.47678i
$635$	47.9878	+	15.5922i	1.90434	+	0.618757i
$636$	0.333595	−	27.7820i	0.0132279	−	1.10163i
$637$	11.8012			0.467579
$638$	−2.93804	−	2.45921i	−0.116318	−	0.0973609i
$639$		−	6.71856i		−	0.265782i
$640$	1.19892	−	28.5124i	0.0473916	−	1.12705i
$641$	11.3041	−	34.7903i	0.446484	−	1.37414i	−0.434365	−	0.900737i	$-0.643027\pi$
$641$	11.3041	−	34.7903i	0.446484	−	1.37414i	0.880848	−	0.473398i	$-0.156973\pi$
$642$	−9.98094	−	13.9125i	−0.393916	−	0.549081i
$643$	−3.35634	+	2.43852i	−0.132361	+	0.0961660i	−0.651996	−	0.758223i	$-0.726068\pi$
$643$	−3.35634	+	2.43852i	−0.132361	+	0.0961660i	0.519635	+	0.854389i	$0.326068\pi$
$644$	−47.1445	−	15.9465i	−1.85775	−	0.628379i
$645$	−4.60372	−	14.1688i	−0.181271	−	0.557895i
$646$	−34.8687	−	0.209337i	−1.37189	−	0.00823624i
$647$	−9.87192	+	13.5875i	−0.388105	+	0.534181i	−0.957709	−	0.287738i	$-0.907097\pi$
$647$	−9.87192	+	13.5875i	−0.388105	+	0.534181i	0.569604	+	0.821919i	$0.307097\pi$
$648$	−2.25793	−	1.70345i	−0.0887000	−	0.0669178i
$649$	9.76298	−	24.6759i	0.383230	−	0.968615i
$650$	−1.36835	−	4.29899i	−0.0536710	−	0.168620i
$651$	12.1445	−	16.7155i	0.475982	−	0.655134i
$652$	8.12384	+	26.0633i	0.318154	+	1.02072i
$653$	−14.1761	+	4.60608i	−0.554752	+	0.180250i	−0.572958	−	0.819584i	$-0.694204\pi$
$653$	−14.1761	+	4.60608i	−0.554752	+	0.180250i	0.0182065	+	0.999834i	$0.494204\pi$
$654$	4.00756	+	2.94859i	0.156708	+	0.115299i
$655$	−31.4750	+	22.8679i	−1.22983	+	0.893524i
$656$	0.429122	−	17.8662i	0.0167544	−	0.697559i
$657$	−4.23299	−	1.37538i	−0.165145	−	0.0536588i
$658$	−30.9183	−	10.2516i	−1.20532	−	0.399649i
$659$			6.39469i			0.249102i	0.992213	+	0.124551i	$0.0397490\pi$
$659$			6.39469i			0.249102i	−0.992213	+	0.124551i	$0.960251\pi$
$660$	8.79844	+	14.2315i	0.342479	+	0.553960i
$661$		−	4.15586i		−	0.161644i	−0.996729	−	0.0808221i	$-0.974245\pi$
$661$		−	4.15586i		−	0.161644i	0.996729	−	0.0808221i	$-0.0257546\pi$
$662$	2.16612	−	6.53291i	0.0841885	−	0.253909i
$663$	−8.06490	−	2.62045i	−0.313215	−	0.101770i
$664$	−10.6894	−	3.68731i	−0.414828	−	0.143095i
$665$	−48.2068	+	35.0243i	−1.86938	+	1.35818i
$666$	−1.73391	+	2.35664i	−0.0671876	+	0.0913179i
$667$	−5.57139	+	1.81025i	−0.215725	+	0.0700933i
$668$	7.01978	+	22.5212i	0.271603	+	0.871372i
$669$	−0.198803	+	0.273629i	−0.00768616	+	0.0105791i
$670$	33.4440	−	10.6451i	1.29205	−	0.411254i
$671$	−31.8244	−	1.99449i	−1.22857	−	0.0769964i
$672$	−19.6198	−	0.589113i	−0.756849	−	0.0227255i
$673$	26.3682	−	36.2928i	1.01642	−	1.39898i	0.101739	−	0.994811i	$-0.467559\pi$
$673$	26.3682	−	36.2928i	1.01642	−	1.39898i	0.914683	−	0.404173i	$-0.132441\pi$
$674$	−0.205005	+	34.1472i	−0.00789650	+	1.31530i
$675$	0.421018	+	1.29576i	0.0162050	+	0.0498738i
$676$	−4.81744	+	14.2424i	−0.185286	+	0.547783i
$677$	−21.4231	+	15.5648i	−0.823357	+	0.598204i	−0.917672	−	0.397339i	$-0.869934\pi$
$677$	−21.4231	+	15.5648i	−0.823357	+	0.598204i	0.0943152	+	0.995542i	$0.469934\pi$
$678$	19.1016	−	13.7036i	0.733591	−	0.526285i
$679$	7.60769	−	23.4141i	0.291957	−	0.898550i
$680$	7.54057	+	24.7133i	0.289168	+	0.947714i
$681$			7.30549i			0.279947i
$682$	−1.91426	+	27.8636i	−0.0733007	+	1.06695i
$683$	−21.1898			−0.810805			−0.405402	−	0.914138i	$-0.632869\pi$
$683$	−21.1898			−0.810805			−0.405402	+	0.914138i	$0.632869\pi$
$684$	−0.163485	+	13.6152i	−0.00625101	+	0.520589i
$685$	−3.21030	−	1.04309i	−0.122659	−	0.0398544i
$686$	7.81466	−	5.60631i	0.298365	−	0.214050i
$687$	−5.47704	−	7.53850i	−0.208962	−	0.287612i
$688$	−22.6377	+	6.75895i	−0.863053	+	0.257683i
$689$	−30.9357	+	10.0516i	−1.17856	+	0.382936i
$690$	25.5816	+	0.153581i	0.973875	+	0.00584673i
$691$	14.6736	+	10.6610i	0.558210	+	0.405564i	0.830804	−	0.556566i	$-0.187881\pi$
$691$	14.6736	+	10.6610i	0.558210	+	0.405564i	−0.272593	+	0.962129i	$0.587881\pi$
$692$	7.96302	−	5.64065i	0.302709	−	0.214425i
$693$	9.71528	−	6.16880i	0.369053	−	0.234333i
$694$	−1.02577	+	0.326497i	−0.0389376	+	0.0123936i
$695$	−8.13908	−	5.91338i	−0.308733	−	0.224307i
$696$	−1.89333	+	1.32416i	−0.0717666	+	0.0501920i
$697$	5.00017	+	15.3889i	0.189395	+	0.582898i
$698$	−23.2391	−	17.0983i	−0.879613	−	0.647180i
$699$	−0.710006	−	0.977239i	−0.0268549	−	0.0369626i
$700$	7.58200	+	5.64897i	0.286573	+	0.213511i
$701$	−12.5199	+	38.5324i	−0.472871	+	1.45535i	0.375937	+	0.926645i	$0.377321\pi$
$701$	−12.5199	+	38.5324i	−0.472871	+	1.45535i	−0.848808	+	0.528702i	$0.822679\pi$
$702$	−1.04215	+	3.14307i	−0.0393333	+	0.118627i
$703$	14.0848			0.531219
$704$	22.8968	−	13.4066i	0.862955	−	0.505281i
$705$	16.7436			0.630599
$706$	3.77281	−	11.3786i	0.141992	−	0.428241i
$707$	6.83945	−	21.0497i	0.257224	−	0.791654i
$708$	−12.8324	−	9.56078i	−0.482271	−	0.359316i
$709$	−21.0524	−	28.9761i	−0.790638	−	1.08822i	−0.994028	−	0.109122i	$-0.965196\pi$
$709$	−21.0524	−	28.9761i	−0.790638	−	1.08822i	0.203390	−	0.979098i	$-0.434804\pi$
$710$	19.3043	+	14.2033i	0.724479	+	0.533039i
$711$	4.09246	+	12.5953i	0.153479	+	0.472360i
$712$	−6.93726	+	4.85176i	−0.259985	+	0.181827i
$713$	34.5473	+	25.1001i	1.29381	+	0.940007i
$714$	16.9347	−	5.39025i	0.633767	−	0.201725i
$715$	12.4824	−	15.0961i	0.466815	−	0.564561i
$716$	23.8086	−	16.8649i	0.889769	−	0.630272i
$717$	13.2601	+	9.63406i	0.495209	+	0.359790i
$718$	−1.13955	−	0.00684137i	−0.0425276	−	0.000255318i
$719$	1.96438	−	0.638267i	0.0732592	−	0.0238034i	−0.272158	−	0.962253i	$-0.587737\pi$
$719$	1.96438	−	0.638267i	0.0732592	−	0.0238034i	0.345417	+	0.938449i	$0.387737\pi$
$720$	9.66783	−	2.88653i	0.360299	−	0.107575i
$721$	21.7256	+	29.9027i	0.809104	+	1.11364i
$722$	31.4275	−	22.5464i	1.16961	−	0.839091i
$723$	−10.3322	−	3.35714i	−0.384259	−	0.124853i
$724$	−0.163979	+	13.6563i	−0.00609422	+	0.507531i
$725$	1.11293			0.0413331
$726$	−6.70116	+	14.0390i	−0.248703	+	0.521037i
$727$			48.1161i			1.78453i	0.451514	+	0.892264i	$0.350884\pi$
$727$			48.1161i			1.78453i	−0.451514	+	0.892264i	$0.649116\pi$
$728$	6.70642	+	21.9795i	0.248557	+	0.814615i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	12.9005	−	9.25498i	0.477471	−	0.342542i
$731$	17.3052	−	12.5730i	0.640056	−	0.465028i
$732$	−6.16108	+	18.2147i	−0.227720	+	0.673236i
$733$	−5.26347	−	16.1993i	−0.194411	−	0.598335i	−0.999983	−	0.00583726i	$-0.998142\pi$
$733$	−5.26347	−	16.1993i	−0.194411	−	0.598335i	0.805572	−	0.592498i	$-0.201858\pi$
$734$	0.162480	−	27.0639i	0.00599724	−	0.998946i
$735$	7.47252	−	10.2850i	0.275628	−	0.379370i
$736$	1.21757	−	40.5497i	0.0448801	−	1.49468i
$737$	25.1483	+	20.7943i	0.926351	+	0.765966i
$738$	6.02085	−	1.91641i	0.221631	−	0.0705440i
$739$	−21.1621	+	29.1272i	−0.778462	+	1.07146i	0.216988	+	0.976174i	$0.430377\pi$
$739$	−21.1621	+	29.1272i	−0.778462	+	1.07146i	−0.995450	+	0.0952870i	$0.969623\pi$
$740$	−3.10575	−	9.96402i	−0.114170	−	0.366285i
$741$	15.1607	−	4.92601i	0.556942	−	0.180961i
$742$	40.3998	−	54.9093i	1.48312	−	2.01579i
$743$	−22.7550	+	16.5325i	−0.834801	+	0.606519i	−0.920914	−	0.389767i	$-0.872556\pi$
$743$	−22.7550	+	16.5325i	−0.834801	+	0.606519i	0.0861124	+	0.996285i	$0.472556\pi$
$744$	15.9213	+	5.49209i	0.583705	+	0.201350i
$745$	−11.2109	−	3.64263i	−0.410735	−	0.133456i
$746$	−2.91831	+	8.80150i	−0.106847	+	0.322246i
$747$		−	3.99780i		−	0.146272i
$748$	−15.5297	+	18.3288i	−0.567821	+	0.670166i
$749$		−	42.0110i		−	1.53505i
$750$	12.3165	+	4.08378i	0.449735	+	0.149119i
$751$	−11.6316	−	3.77933i	−0.424443	−	0.137910i	0.0890039	−	0.996031i	$-0.471632\pi$
$751$	−11.6316	−	3.77933i	−0.424443	−	0.137910i	−0.513447	+	0.858121i	$0.671632\pi$
$752$	0.637556	−	26.5443i	0.0232493	−	0.967970i
$753$	4.78591	−	3.47716i	0.174408	−	0.126715i
$754$	2.17873	+	1.60301i	0.0793446	+	0.0583782i
$755$	−1.71026	+	0.555696i	−0.0622426	+	0.0202238i
$756$	−2.06510	−	6.62538i	−0.0751071	−	0.240963i
$757$	16.0896	−	22.1455i	0.584788	−	0.804891i	−0.409423	−	0.912345i	$-0.634270\pi$
$757$	16.0896	−	22.1455i	0.584788	−	0.804891i	0.994210	+	0.107454i	$0.0342698\pi$
$758$	−7.38265	−	23.1943i	−0.268150	−	0.842456i
$759$	12.7496	+	20.0793i	0.462780	+	0.728834i
$760$	−38.7746	−	29.2527i	−1.40650	−	1.06111i
$761$	−19.5189	+	26.8654i	−0.707559	+	0.973871i	0.292287	+	0.956331i	$0.405584\pi$
$761$	−19.5189	+	26.8654i	−0.707559	+	0.973871i	−0.999846	+	0.0175405i	$0.994416\pi$
$762$	28.2891	+	0.169836i	1.02481	+	0.00615250i
$763$	3.77234	+	11.6101i	0.136568	+	0.420313i
$764$	22.5557	+	7.62939i	0.816036	+	0.276022i
$765$	−7.39050	+	5.36951i	−0.267204	+	0.194135i
$766$	−1.66100	−	2.31527i	−0.0600143	−	0.0836541i
$767$	−5.78932	+	17.8177i	−0.209040	+	0.643360i
$768$	−4.20801	−	15.4367i	−0.151844	−	0.557025i
$769$			0.555847i			0.0200443i	0.999950	+	0.0100222i	$0.00319021\pi$
$769$			0.555847i			0.0200443i	−0.999950	+	0.0100222i	$0.996810\pi$
$770$	−2.81370	+	40.9558i	−0.101399	+	1.47594i
$771$	−16.7320			−0.602588
$772$	0.283797	−	23.6348i	0.0102141	−	0.850636i
$773$	45.7223	+	14.8561i	1.64452	+	0.534336i	0.977541	−	0.210743i	$-0.0675884\pi$
$773$	45.7223	+	14.8561i	1.64452	+	0.534336i	0.666976	+	0.745079i	$0.267588\pi$
$774$	−4.86897	−	6.78687i	−0.175011	−	0.243949i
$775$	−4.76854	−	6.56333i	−0.171291	−	0.235762i
$776$	20.0646	+	0.361413i	0.720278	+	0.0129740i
$777$	−6.82728	+	2.21832i	−0.244927	+	0.0795817i
$778$	0.173121	−	28.8363i	0.00620668	−	1.03383i
$779$	−24.6082	−	17.8789i	−0.881681	−	0.640578i
$780$	−6.82779	−	9.63893i	−0.244474	−	0.345129i
$781$	−1.39377	+	22.2393i	−0.0498731	+	0.795786i
$782$	11.1405	+	35.0004i	0.398382	+	1.25161i
$783$	−0.660855	−	0.480139i	−0.0236170	−	0.0171588i
$784$	−16.0208	−	12.2381i	−0.572170	−	0.437076i
$785$	8.99252	+	27.6761i	0.320957	+	0.987803i
$786$	−12.9270	+	17.5696i	−0.461089	+	0.626688i
$787$	−16.6523	−	22.9199i	−0.593589	−	0.817005i	0.401513	−	0.915853i	$-0.368484\pi$
$787$	−16.6523	−	22.9199i	−0.593589	−	0.817005i	−0.995103	+	0.0988478i	$0.968484\pi$
$788$	−11.4017	−	8.49481i	−0.406167	−	0.302615i
$789$	5.20762	−	16.0274i	0.185396	−	0.570591i
$790$	−44.8414	−	14.8681i	−1.59539	−	0.528982i
$791$	57.6804			2.05088
$792$	7.12067	+	6.10705i	0.253022	+	0.217004i
$793$	22.5115			0.799406
$794$	−21.5364	−	7.14083i	−0.764299	−	0.253419i
$795$	−10.8283	+	33.3260i	−0.384040	+	1.18195i
$796$	28.9713	−	38.8851i	1.02686	−	1.37824i
$797$	−8.84278	−	12.1710i	−0.313227	−	0.431121i	0.623157	−	0.782097i	$-0.285850\pi$
$797$	−8.84278	−	12.1710i	−0.313227	−	0.431121i	−0.936384	+	0.350976i	$0.885850\pi$
$798$	−19.7988	+	26.9095i	−0.700869	+	0.952585i
$799$	7.42887	+	22.8637i	0.262815	+	0.808860i
$800$	−2.60056	+	7.25514i	−0.0919436	+	0.256508i
$801$	−2.42140	−	1.75925i	−0.0855559	−	0.0621600i
$802$	−5.45663	−	17.1433i	−0.192680	−	0.605351i
$803$	13.7264	+	5.43083i	0.484395	+	0.191650i
$804$	16.0574	−	11.3743i	0.566300	−	0.401142i
$805$	50.7800	+	36.8938i	1.78976	+	1.30034i
$806$	0.118373	−	19.7171i	0.00416952	−	0.694506i
$807$	1.68006	−	0.545884i	0.0591409	−	0.0192160i
$808$	18.0384	+	0.324916i	0.634590	+	0.0114305i
$809$	−9.96096	−	13.7101i	−0.350209	−	0.482021i	0.597179	−	0.802108i	$-0.296288\pi$
$809$	−9.96096	−	13.7101i	−0.350209	−	0.482021i	−0.947388	+	0.320087i	$0.896288\pi$
$810$	2.07938	+	2.89846i	0.0730620	+	0.101841i
$811$	33.3596	+	10.8392i	1.17141	+	0.380616i	0.829171	−	0.558996i	$-0.188813\pi$
$811$	33.3596	+	10.8392i	1.17141	+	0.380616i	0.342244	+	0.939611i	$0.388813\pi$
$812$	−5.66841	−	0.0680639i	−0.198922	−	0.00238857i
$813$	3.64326			0.127775
$814$	6.22835	−	7.44108i	0.218304	−	0.260810i
$815$		−	34.4307i		−	1.20606i
$816$	8.23110	+	11.9209i	0.288146	+	0.417316i
$817$	−12.4257	+	38.2424i	−0.434720	+	1.33793i
$818$	−26.2743	−	36.6238i	−0.918658	−	1.28052i
$819$	−6.57295	+	4.77553i	−0.229678	+	0.166871i
$820$	−7.22189	+	21.3510i	−0.252199	+	0.745608i
$821$	11.1149	+	34.2081i	0.387913	+	1.19387i	0.934345	+	0.356369i	$0.115985\pi$
$821$	11.1149	+	34.2081i	0.387913	+	1.19387i	−0.546433	+	0.837503i	$0.684015\pi$
$822$	−1.89250	−	0.0113617i	−0.0660084	−	0.000396286i
$823$	−0.919281	+	1.26528i	−0.0320441	+	0.0441050i	−0.824738	−	0.565514i	$-0.808678\pi$
$823$	−0.919281	+	1.26528i	−0.0320441	+	0.0441050i	0.792694	+	0.609619i	$0.208678\pi$
$824$	−18.1454	+	24.0519i	−0.632127	+	0.837888i
$825$	−1.12482	−	4.37648i	−0.0391611	−	0.152369i
$826$	−11.9086	−	37.4137i	−0.414354	−	1.30179i
$827$	9.04149	−	12.4445i	0.314403	−	0.432739i	−0.622345	−	0.782743i	$-0.713820\pi$
$827$	9.04149	−	12.4445i	0.314403	−	0.432739i	0.936748	+	0.350004i	$0.113820\pi$
$828$	13.6932	−	4.26812i	0.475872	−	0.148327i
$829$	−13.5176	+	4.39213i	−0.469485	+	0.152545i	−0.534199	−	0.845359i	$-0.679387\pi$
$829$	−13.5176	+	4.39213i	−0.469485	+	0.152545i	0.0647137	+	0.997904i	$0.479387\pi$
$830$	11.4868	+	8.45148i	0.398713	+	0.293355i
$831$	14.8332	−	10.7770i	0.514559	−	0.373849i
$832$	−15.5410	+	10.4573i	−0.538787	+	0.362543i
$833$	17.3599	+	5.64057i	0.601485	+	0.195434i
$834$	−5.35391	−	1.77520i	−0.185391	−	0.0614700i
$835$		−	29.7514i		−	1.02959i
$836$	3.36564	−	45.0341i	0.116403	−	1.55754i
$837$			5.95454i			0.205819i
$838$	−6.36237	+	19.1886i	−0.219784	+	0.662859i
$839$	−6.85229	−	2.22644i	−0.236567	−	0.0768653i	0.188334	−	0.982105i	$-0.439691\pi$
$839$	−6.85229	−	2.22644i	−0.236567	−	0.0768653i	−0.424901	+	0.905240i	$0.639691\pi$
$840$	23.4023	+	8.07264i	0.807455	+	0.278532i
$841$	22.9217	−	16.6536i	0.790402	−	0.574261i
$842$	6.20235	−	8.42990i	0.213747	−	0.290514i
$843$	−13.4165	+	4.35928i	−0.462088	+	0.150142i
$844$	48.9018	−	15.2425i	1.68327	−	0.524668i
$845$	11.1457	−	15.3407i	0.383422	−	0.527735i
$846$	8.94532	−	2.84725i	0.307546	−	0.0978906i
$847$	−33.4386	+	18.4041i	−1.14896	+	0.632372i
$848$	52.4208	+	18.4355i	1.80014	+	0.633078i
$849$	16.8354	−	23.1719i	0.577789	−	0.795259i
$850$	0.0418928	−	6.97798i	0.00143691	−	0.239343i
$851$	−4.58477	−	14.1105i	−0.157164	−	0.483701i
$852$	12.7287	+	4.30544i	0.436078	+	0.147502i
$853$	−8.69578	+	6.31785i	−0.297738	+	0.216319i	−0.726617	−	0.687043i	$-0.758909\pi$
$853$	−8.69578	+	6.31785i	−0.297738	+	0.216319i	0.428879	+	0.903362i	$0.358909\pi$
$854$	−38.3341	+	27.5013i	−1.31177	+	0.941074i
$855$	5.30663	−	16.3321i	0.181483	−	0.558547i
$856$	32.7540	−	9.99395i	1.11951	−	0.341586i
$857$			27.6087i			0.943094i	0.881841	+	0.471547i	$0.156304\pi$
$857$			27.6087i			0.943094i	−0.881841	+	0.471547i	$0.843696\pi$
$858$	4.10168	−	10.1878i	0.140029	−	0.347805i
$859$	−19.0214			−0.649002			−0.324501	−	0.945885i	$-0.605196\pi$
$859$	−19.0214			−0.649002			−0.324501	+	0.945885i	$0.605196\pi$
$860$	29.7937	+	0.357751i	1.01596	+	0.0121992i
$861$	14.7441	+	4.79065i	0.502478	+	0.163265i
$862$	11.3034	−	8.10914i	0.384994	−	0.276198i
$863$	−22.7170	−	31.2673i	−0.773297	−	1.06435i	−0.995990	−	0.0894633i	$-0.971485\pi$
$863$	−22.7170	−	31.2673i	−0.773297	−	1.06435i	0.222693	−	0.974889i	$-0.428515\pi$
$864$	4.67422	−	3.18616i	0.159020	−	0.108395i
$865$	−11.7049	+	3.80315i	−0.397978	+	0.129311i
$866$	−39.7868	−	0.238863i	−1.35201	−	0.00811688i
$867$	3.14204	+	2.28283i	0.106709	+	0.0775289i
$868$	23.8859	+	33.7203i	0.810742	+	1.14454i
$869$	−10.9337	−	42.5410i	−0.370899	−	1.44311i
$870$	2.77664	−	0.883793i	0.0941371	−	0.0299634i
$871$	−18.6377	−	13.5411i	−0.631514	−	0.458822i
$872$	−8.15442	+	5.70301i	−0.276143	+	0.193128i
$873$	2.19249	+	6.74780i	0.0742047	+	0.228379i
$874$	−55.6160	−	40.9197i	−1.88124	−	1.38413i
$875$	18.7135	+	25.7569i	0.632632	+	0.870743i
$876$	5.31836	−	7.13825i	0.179691	−	0.241179i
$877$	−10.2280	+	31.4786i	−0.345376	+	1.06296i	0.616007	+	0.787741i	$0.288749\pi$
$877$	−10.2280	+	31.4786i	−0.345376	+	1.06296i	−0.961382	+	0.275216i	$0.911251\pi$
$878$	−14.5151	+	43.7768i	−0.489860	+	1.47740i
$879$	−17.1009			−0.576800
$880$	−32.6006	+	7.54920i	−1.09897	+	0.254484i
$881$	−28.7554			−0.968795			−0.484397	−	0.874848i	$-0.660961\pi$
$881$	−28.7554			−0.968795			−0.484397	+	0.874848i	$0.660961\pi$
$882$	2.24325	−	6.76553i	0.0755341	−	0.227807i
$883$	6.72055	−	20.6837i	0.226164	−	0.696063i	−0.772007	−	0.635614i	$-0.780747\pi$
$883$	6.72055	−	20.6837i	0.226164	−	0.696063i	0.998171	−	0.0604484i	$-0.0192531\pi$
$884$	10.1328	−	13.6001i	0.340803	−	0.457423i
$885$	11.8628	+	16.3278i	0.398764	+	0.548851i
$886$	18.4653	+	13.5860i	0.620355	+	0.456430i
$887$	11.9681	+	36.8340i	0.401849	+	1.23677i	0.923497	+	0.383605i	$0.125317\pi$
$887$	11.9681	+	36.8340i	0.401849	+	1.23677i	−0.521648	+	0.853161i	$0.674683\pi$
$888$	−3.35365	−	4.79519i	−0.112541	−	0.160916i
$889$	56.1545	+	40.7986i	1.88336	+	1.36834i
$890$	10.1737	−	3.23825i	0.341025	−	0.108546i
$891$	−1.22018	+	3.08402i	−0.0408777	+	0.103318i
$892$	−0.391006	−	0.551992i	−0.0130919	−	0.0184821i
$893$	−36.5610	−	26.5631i	−1.22347	−	0.888901i
$894$	−6.60889	−	0.0396769i	−0.221034	−	0.00132699i
$895$	−34.9964	+	11.3710i	−1.16980	+	0.380091i
$896$	13.6890	−	36.7932i	0.457317	−	1.22917i
$897$	−9.86997	−	13.5848i	−0.329549	−	0.453585i
$898$	−31.4617	+	22.5709i	−1.04989	+	0.753201i
$899$	4.62597	+	1.50307i	0.154285	+	0.0501302i
$900$	−2.72469	−	0.0327169i	−0.0908230	−	0.00109056i
$901$	−50.3118			−1.67613
$902$	−20.3274	+	5.09453i	−0.676827	+	0.169629i
$903$		−	20.4941i		−	0.682001i
$904$	13.7215	+	44.9706i	0.456371	+	1.49570i
$905$	5.32265	−	16.3814i	0.176931	−	0.544537i
$906$	−0.819215	+	0.587713i	−0.0272166	+	0.0195255i
$907$	6.08306	−	4.41960i	0.201985	−	0.146751i	−0.482195	−	0.876064i	$-0.660160\pi$
$907$	6.08306	−	4.41960i	0.201985	−	0.146751i	0.684180	+	0.729313i	$0.260160\pi$
$908$	−13.8407	−	4.68156i	−0.459319	−	0.155363i
$909$	1.97109	+	6.06640i	0.0653770	+	0.201210i
$910$	0.173993	−	28.9816i	0.00576781	−	0.960730i
$911$	−23.6851	+	32.5998i	−0.784723	+	1.08008i	0.210022	+	0.977697i	$0.432646\pi$
$911$	−23.6851	+	32.5998i	−0.784723	+	1.08008i	−0.994745	+	0.102382i	$0.967354\pi$
$912$	−25.6899	−	9.03471i	−0.850678	−	0.299169i
$913$	−0.829348	+	13.2332i	−0.0274474	+	0.437956i
$914$	−5.69473	+	1.81261i	−0.188365	+	0.0599557i
$915$	14.2543	−	19.6194i	0.471233	−	0.648597i
$916$	17.7919	−	5.54568i	0.587862	−	0.183234i
$917$	−50.8999	+	16.5384i	−1.68086	+	0.546146i
$918$	−3.03532	+	4.12544i	−0.100180	+	0.136160i
$919$	33.3429	−	24.2250i	1.09988	−	0.799109i	0.118839	−	0.992913i	$-0.462083\pi$
$919$	33.3429	−	24.2250i	1.09988	−	0.799109i	0.981040	+	0.193804i	$0.0620826\pi$
$920$	−16.6844	+	48.3674i	−0.550067	+	1.59462i
$921$	−19.4459	−	6.31836i	−0.640764	−	0.208197i
$922$	6.87156	−	20.7243i	0.226303	−	0.682519i
$923$		−	15.7313i		−	0.517802i
$924$	5.46132	+	22.3593i	0.179664	+	0.735566i
$925$			2.81867i			0.0926774i
$926$	−3.08227	−	1.02199i	−0.101290	−	0.0335846i
$927$	−10.1308	−	3.29171i	−0.332740	−	0.108114i
$928$	−1.29538	−	4.43558i	−0.0425231	−	0.145605i
$929$	19.2013	−	13.9506i	0.629975	−	0.457704i	−0.226417	−	0.974031i	$-0.572701\pi$
$929$	19.2013	−	13.9506i	0.629975	−	0.457704i	0.856392	+	0.516327i	$0.172701\pi$
$930$	−17.1091	−	12.5881i	−0.561029	−	0.412780i
$931$	−32.6338	+	10.6034i	−1.06953	+	0.347511i
$932$	2.30642	−	0.718904i	0.0755495	−	0.0235485i
$933$	−10.5558	+	14.5288i	−0.345580	+	0.475650i
$934$	−15.4505	−	48.5416i	−0.505557	−	1.58833i
$935$	25.5774	−	16.2406i	0.836472	−	0.531125i
$936$	−5.28688	−	3.98857i	−0.172807	−	0.130371i
$937$	29.5054	−	40.6107i	0.963900	−	1.32669i	0.0188316	−	0.999823i	$-0.494005\pi$
$937$	29.5054	−	40.6107i	0.963900	−	1.32669i	0.945069	−	0.326872i	$-0.105995\pi$
$938$	48.2800	+	0.289853i	1.57640	+	0.00946402i
$939$	−7.26354	−	22.3549i	−0.237037	−	0.729524i
$940$	−10.7297	+	31.7216i	−0.349965	+	1.03464i
$941$	20.7682	−	15.0890i	0.677024	−	0.491886i	−0.195345	−	0.980735i	$-0.562583\pi$
$941$	20.7682	−	15.0890i	0.677024	−	0.491886i	0.872369	+	0.488848i	$0.162583\pi$
$942$	9.51063	+	13.2569i	0.309873	+	0.431933i
$943$	−9.90123	+	30.4729i	−0.322428	+	0.992333i
$944$	26.3368	−	18.1849i	0.857189	−	0.591867i
$945$			8.75239i			0.284715i
$946$	14.7090	+	23.4755i	0.478230	+	0.763254i
$947$	−35.3065			−1.14731			−0.573653	−	0.819098i	$-0.694474\pi$
$947$	−35.3065			−1.14731			−0.573653	+	0.819098i	$0.694474\pi$
$948$	−26.4850	−	0.318021i	−0.860194	−	0.0103288i
$949$	−9.91142	−	3.22041i	−0.321738	−	0.104539i
$950$	7.64654	+	10.6585i	0.248086	+	0.345809i
$951$	−19.0205	−	26.1795i	−0.616783	−	0.848930i
$952$	−0.640127	+	35.5380i	−0.0207466	+	1.15179i
$953$	8.87462	−	2.88354i	0.287477	−	0.0934070i	−0.161729	−	0.986835i	$-0.551707\pi$
$953$	8.87462	−	2.88354i	0.287477	−	0.0934070i	0.449206	+	0.893428i	$0.351707\pi$
$954$	−0.117946	+	19.6459i	−0.00381863	+	0.636060i
$955$	−24.2951	−	17.6514i	−0.786170	−	0.571186i
$956$	−26.7497	+	18.9483i	−0.865148	+	0.612832i
$957$	2.08791	+	1.72642i	0.0674926	+	0.0558072i
$958$	4.87672	+	15.3214i	0.157560	+	0.495011i
$959$	−3.75664	−	2.72936i	−0.121308	−	0.0881357i
$960$	−0.726714	+	20.1660i	−0.0234546	+	0.650855i
$961$	−1.37715	−	4.23842i	−0.0444241	−	0.136723i
$962$	−4.05989	+	5.51800i	−0.130896	+	0.177907i
$963$	7.11652	+	9.79505i	0.229327	+	0.315641i
$964$	12.9815	−	17.4236i	0.418105	−	0.561177i
$965$	−9.21187	+	28.3512i	−0.296541	+	0.912658i
$966$	33.4033	+	11.0755i	1.07473	+	0.356349i
$967$	27.3926			0.880886			0.440443	−	0.897781i	$-0.354821\pi$
$967$	27.3926			0.880886			0.440443	+	0.897781i	$0.354821\pi$
$968$	−22.3034	−	21.6923i	−0.716860	−	0.697217i
$969$	24.6563			0.792076
$970$	−24.0234	−	7.96542i	−0.771343	−	0.255754i
$971$	−3.77734	+	11.6255i	−0.121221	+	0.373079i	−0.993194	−	0.116475i	$-0.962840\pi$
$971$	−3.77734	+	11.6255i	−0.121221	+	0.373079i	0.871973	+	0.489554i	$0.162840\pi$
$972$	1.60380	+	1.19491i	0.0514420	+	0.0383269i
$973$	−8.13465	−	11.1964i	−0.260785	−	0.358939i
$974$	−5.42411	+	7.37217i	−0.173800	+	0.236219i
$975$	0.985800	+	3.03398i	0.0315709	+	0.0971652i
$976$	−30.5606	−	23.3450i	−0.978222	−	0.747256i
$977$	2.22237	+	1.61464i	0.0710998	+	0.0516570i	0.622767	−	0.782407i	$-0.286008\pi$
$977$	2.22237	+	1.61464i	0.0710998	+	0.0516570i	−0.551668	+	0.834064i	$0.686008\pi$
$978$	−5.85496	−	18.3948i	−0.187221	−	0.588199i
$979$	7.65019	+	6.32567i	0.244501	+	0.202169i
$980$	14.6970	+	20.7480i	0.469478	+	0.662772i
$981$	−2.84624	−	2.06791i	−0.0908735	−	0.0660234i
$982$	0.136857	−	22.7959i	0.00436727	−	0.727445i
$983$	38.0558	−	12.3651i	1.21379	−	0.394385i	0.368974	−	0.929440i	$-0.379709\pi$
$983$	38.0558	−	12.3651i	1.21379	−	0.394385i	0.844817	+	0.535055i	$0.179709\pi$
$984$	−0.227586	+	12.6349i	−0.00725517	+	0.402787i
$985$	10.5402	+	14.5073i	0.335838	+	0.462241i
$986$	2.43879	+	3.39944i	0.0776670	+	0.108260i
$987$	21.9057	+	7.11759i	0.697266	+	0.226555i
$988$	−0.382795	+	31.8795i	−0.0121783	+	1.01422i
$989$	42.3568			1.34687
$990$	−6.28174	−	10.0256i	−0.199647	−	0.318636i
$991$		−	47.0492i		−	1.49457i	−0.664505	−	0.747284i	$-0.731357\pi$
$991$		−	47.0492i		−	1.49457i	0.664505	−	0.747284i	$-0.268643\pi$
$992$	−20.6079	+	26.6444i	−0.654301	+	0.845960i
$993$	−1.50391	+	4.62857i	−0.0477253	+	0.146883i
$994$	19.2182	+	26.7883i	0.609565	+	0.849675i
$995$	−49.4768	+	35.9470i	−1.56852	+	1.13960i
$996$	7.57405	+	2.56190i	0.239993	+	0.0811769i
$997$	−16.7250	−	51.4741i	−0.529685	−	1.63020i	−0.754862	−	0.655884i	$-0.772296\pi$
$997$	−16.7250	−	51.4741i	−0.529685	−	1.63020i	0.225177	−	0.974318i	$-0.427704\pi$
$998$	25.2058	+	0.151325i	0.797876	+	0.00479011i
$999$	1.21603	−	1.67373i	0.0384736	−	0.0529543i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	264.2.z.b.139.8	yes	48
3.2	odd	2		792.2.bp.d.667.5		48
4.3	odd	2		1056.2.bp.a.271.10		48
8.3	odd	2	inner	264.2.z.b.139.10	yes	48
8.5	even	2		1056.2.bp.a.271.3		48
11.8	odd	10	inner	264.2.z.b.19.10	yes	48
24.11	even	2		792.2.bp.d.667.3		48
33.8	even	10		792.2.bp.d.19.3		48
44.19	even	10		1056.2.bp.a.943.3		48
88.19	even	10	inner	264.2.z.b.19.8	✓	48
88.85	odd	10		1056.2.bp.a.943.10		48
264.107	odd	10		792.2.bp.d.19.5		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
264.2.z.b.19.8	✓	48	88.19	even	10	inner
264.2.z.b.19.10	yes	48	11.8	odd	10	inner
264.2.z.b.139.8	yes	48	1.1	even	1	trivial
264.2.z.b.139.10	yes	48	8.3	odd	2	inner
792.2.bp.d.19.3		48	33.8	even	10
792.2.bp.d.19.5		48	264.107	odd	10
792.2.bp.d.667.3		48	24.11	even	2
792.2.bp.d.667.5		48	3.2	odd	2
1056.2.bp.a.271.3		48	8.5	even	2
1056.2.bp.a.271.10		48	4.3	odd	2
1056.2.bp.a.943.3		48	44.19	even	10
1056.2.bp.a.943.10		48	88.85	odd	10

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:	\( N \)	\(=\)	\( 264 = 2^{3} \cdot 3 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	264.z (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.445083 - 1.34235i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-1.60380 - 1.19491i) q^{4} +(1.48262 + 2.04066i) q^{5} +(1.13911 + 0.838108i) q^{6} +(1.07225 + 3.30005i) q^{7} +(-2.31782 + 1.62103i) q^{8} +(-0.809017 - 0.587785i) q^{9} +(3.39916 - 1.08194i) q^{10} +(2.55602 + 2.11348i) q^{11} +(1.63203 - 1.15606i) q^{12} +(-1.89429 - 1.37628i) q^{13} +(4.90706 + 0.0294599i) q^{14} +(-2.39893 + 0.779461i) q^{15} +(1.14437 + 3.83281i) q^{16} +(-2.12874 - 2.92996i) q^{17} +(-1.14909 + 0.824370i) q^{18} +(6.47486 + 2.10381i) q^{19} +(0.0605712 - 5.04441i) q^{20} -3.46988 q^{21} +(3.97466 - 2.49039i) q^{22} -7.17148i q^{23} +(-0.825445 - 2.70530i) q^{24} +(-0.421018 + 1.29576i) q^{25} +(-2.69056 + 1.93024i) q^{26} +(0.809017 - 0.587785i) q^{27} +(2.22359 - 6.57388i) q^{28} +(-0.252424 - 0.776881i) q^{29} +(-0.0214155 + 3.56713i) q^{30} +(-3.49999 + 4.81732i) q^{31} +(5.65431 + 0.169779i) q^{32} +(-2.79989 + 1.77781i) q^{33} +(-4.88050 + 1.55344i) q^{34} +(-5.14452 + 7.08083i) q^{35} +(0.595151 + 1.90940i) q^{36} +(1.96758 - 0.639306i) q^{37} +(5.70590 - 7.75516i) q^{38} +(1.89429 - 1.37628i) q^{39} +(-6.74440 - 2.32649i) q^{40} +(-4.24917 - 1.38064i) q^{41} +(-1.54438 + 4.65779i) q^{42} +5.90629i q^{43} +(-1.57392 - 6.44382i) q^{44} -2.52239i q^{45} +(-9.62663 - 3.19190i) q^{46} +(-6.31309 - 2.05125i) q^{47} +(-3.99885 - 0.0960467i) q^{48} +(-4.07750 + 2.96248i) q^{49} +(1.55197 + 1.14187i) q^{50} +(3.44438 - 1.11915i) q^{51} +(1.39353 + 4.47079i) q^{52} +(8.16553 - 11.2389i) q^{53} +(-0.428934 - 1.34760i) q^{54} +(-0.523272 + 8.34943i) q^{55} +(-7.83476 - 5.91076i) q^{56} +(-4.00169 + 5.50785i) q^{57} +(-1.15520 - 0.00693530i) q^{58} +(-2.47252 - 7.60962i) q^{59} +(4.77880 + 1.61642i) q^{60} +(-7.77810 + 5.65112i) q^{61} +(4.90875 + 6.84232i) q^{62} +(1.07225 - 3.30005i) q^{63} +(2.74454 - 7.51449i) q^{64} -5.90609i q^{65} +(1.14027 + 4.54970i) q^{66} +9.83888 q^{67} +(-0.0869678 + 7.24274i) q^{68} +(6.82048 + 2.21611i) q^{69} +(7.21521 + 10.0573i) q^{70} +(3.94907 + 5.43543i) q^{71} +(2.82797 + 0.0509386i) q^{72} +(4.23299 - 1.37538i) q^{73} +(0.0175648 - 2.92573i) q^{74} +(-1.10224 - 0.800824i) q^{75} +(-7.87053 - 11.1110i) q^{76} +(-4.23389 + 10.7012i) q^{77} +(-1.00433 - 3.15535i) q^{78} +(-10.7142 - 7.78432i) q^{79} +(-6.12478 + 8.01787i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-3.74453 + 5.08937i) q^{82} +(2.34985 + 3.23429i) q^{83} +(5.56500 + 4.14621i) q^{84} +(2.82292 - 8.68806i) q^{85} +(7.92830 + 2.62879i) q^{86} +0.816862 q^{87} +(-9.35038 - 0.755279i) q^{88} +2.99301 q^{89} +(-3.38593 - 1.12267i) q^{90} +(2.51064 - 7.72697i) q^{91} +(-8.56930 + 11.5016i) q^{92} +(-3.49999 - 4.81732i) q^{93} +(-5.56334 + 7.56140i) q^{94} +(5.30663 + 16.3321i) q^{95} +(-1.90875 + 5.32510i) q^{96} +(-5.74003 - 4.17037i) q^{97} +(2.16185 + 6.79198i) q^{98} +(-0.825589 - 3.21223i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 12 q^{3} + 4 q^{4} - 12 q^{9} + 4 q^{11} + 6 q^{12} - 16 q^{14} + 20 q^{16} - 5 q^{18} + 25 q^{20} + 3 q^{22} + 20 q^{24} - 4 q^{25} + 4 q^{26} + 12 q^{27} - 25 q^{28} - 10 q^{30} - 4 q^{33} + 4 q^{36}+ \cdots - 16 q^{99}+O(q^{100}) \) 48 * q + 12 * q^3 + 4 * q^4 - 12 * q^9 + 4 * q^11 + 6 * q^12 - 16 * q^14 + 20 * q^16 - 5 * q^18 + 25 * q^20 + 3 * q^22 + 20 * q^24 - 4 * q^25 + 4 * q^26 + 12 * q^27 - 25 * q^28 - 10 * q^30 - 4 * q^33 + 4 * q^36 + 26 * q^38 - 65 * q^40 - 60 * q^41 - 4 * q^42 - 43 * q^44 - 5 * q^46 + 5 * q^48 - 12 * q^49 - 80 * q^50 - 15 * q^52 - 14 * q^56 + 73 * q^58 - 8 * q^59 - 25 * q^60 - 45 * q^62 - 38 * q^64 - 13 * q^66 + 8 * q^67 - 55 * q^68 - 40 * q^70 + 20 * q^72 + 60 * q^74 - 36 * q^75 + 46 * q^78 - 12 * q^81 - 35 * q^82 - 100 * q^83 + 45 * q^84 + 81 * q^86 - 18 * q^88 + 96 * q^89 + 10 * q^90 - 20 * q^91 + 59 * q^92 + 35 * q^94 - 40 * q^97 - 16 * q^99

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