LMFDB - Embedded newform 522.2.x.a.317.9

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [522,2,Mod(11,522)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(522, base_ring=CyclotomicField(84)) chi = DirichletCharacter(H, H._module([14, 75])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("522.11"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 522 = 2 \cdot 3^{2} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	522.x (of order $84$, degree $24$, 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:	$4.16819098551$
Analytic rank:	$0$
Dimension:	$720$
Relative dimension:	$30$ over $\Q(\zeta_{84})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label			317.9
Character	$\chi$	$=$	522.317
Dual form			522.2.x.a.275.9

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.593820 + 0.804598i) q^{2} +(0.450735 + 1.67237i) q^{3} +(-0.294755 - 0.955573i) q^{4} +(0.243395 - 0.620161i) q^{5} +(-1.61324 - 0.630430i) q^{6} +(-0.271358 - 0.0837030i) q^{7} +(0.943883 + 0.330279i) q^{8} +(-2.59368 + 1.50760i) q^{9} +(0.354447 + 0.564099i) q^{10} +(-0.586788 + 3.10125i) q^{11} +(1.46522 - 0.923651i) q^{12} +(-4.46385 + 0.334520i) q^{13} +(0.228485 - 0.168630i) q^{14} +(1.14685 + 0.127520i) q^{15} +(-0.826239 + 0.563320i) q^{16} +(1.02539 - 1.02539i) q^{17} +(0.327169 - 2.98211i) q^{18} +(-4.57694 + 2.87588i) q^{19} +(-0.664351 - 0.0497862i) q^{20} +(0.0176721 - 0.491541i) q^{21} +(-2.14681 - 2.31371i) q^{22} +(-1.14918 + 7.62434i) q^{23} +(-0.126909 + 1.72740i) q^{24} +(3.33990 + 3.09898i) q^{25} +(2.38157 - 3.79025i) q^{26} +(-3.69033 - 3.65807i) q^{27} +0.283975i q^{28} +(4.91815 + 2.19359i) q^{29} +(-0.783624 + 0.847028i) q^{30} +(-6.94582 + 3.03043i) q^{31} +(0.0373912 - 0.999301i) q^{32} +(-5.45093 + 0.416512i) q^{33} +(0.216129 + 1.43392i) q^{34} +(-0.117957 + 0.147913i) q^{35} +(2.20512 + 2.03407i) q^{36} +(1.06483 - 3.04312i) q^{37} +(0.403951 - 5.39035i) q^{38} +(-2.57146 - 7.31446i) q^{39} +(0.434563 - 0.504971i) q^{40} +(0.802909 - 2.99650i) q^{41} +(0.384999 + 0.306106i) q^{42} +(2.38828 - 5.47400i) q^{43} +(3.13643 - 0.353390i) q^{44} +(0.303663 + 1.97544i) q^{45} +(-5.45212 - 5.45212i) q^{46} +(2.20929 + 0.418021i) q^{47} +(-1.31450 - 1.12787i) q^{48} +(-5.71704 - 3.89781i) q^{49} +(-4.47673 + 0.847043i) q^{50} +(2.17701 + 1.25266i) q^{51} +(1.63540 + 4.16693i) q^{52} +(2.95033 - 2.35281i) q^{53} +(5.13467 - 0.796990i) q^{54} +(1.78045 + 1.11873i) q^{55} +(-0.228485 - 0.168630i) q^{56} +(-6.87254 - 6.35810i) q^{57} +(-4.68545 + 2.65453i) q^{58} +(0.839346 - 0.484597i) q^{59} +(-0.216185 - 1.13348i) q^{60} +(-2.03520 - 3.85079i) q^{61} +(1.68629 - 7.38813i) q^{62} +(0.830006 - 0.192000i) q^{63} +(0.781831 + 0.623490i) q^{64} +(-0.879024 + 2.84973i) q^{65} +(2.90175 - 4.63314i) q^{66} +(-0.661007 + 0.969520i) q^{67} +(-1.28207 - 0.677595i) q^{68} +(-13.2687 + 1.51469i) q^{69} +(-0.0489654 - 0.182741i) q^{70} +(14.5046 + 6.98504i) q^{71} +(-2.94605 + 0.566357i) q^{72} +(1.43993 + 12.7797i) q^{73} +(1.81617 + 2.66383i) q^{74} +(-3.67724 + 6.98238i) q^{75} +(4.09719 + 3.52592i) q^{76} +(0.418813 - 0.792434i) q^{77} +(7.41218 + 2.27448i) q^{78} +(6.79192 - 5.84492i) q^{79} +(0.148246 + 0.649510i) q^{80} +(4.45431 - 7.82043i) q^{81} +(1.93419 + 2.42540i) q^{82} +(2.79624 - 3.01363i) q^{83} +(-0.474912 + 0.127997i) q^{84} +(-0.386331 - 0.885480i) q^{85} +(2.98616 + 5.17218i) q^{86} +(-1.45173 + 9.21371i) q^{87} +(-1.57814 + 2.73341i) q^{88} +(-8.11748 - 0.914620i) q^{89} +(-1.76975 - 0.928728i) q^{90} +(1.23930 + 0.282863i) q^{91} +(7.62434 - 1.14918i) q^{92} +(-8.19874 - 10.2501i) q^{93} +(-1.64826 + 1.52936i) q^{94} +(0.669504 + 3.53841i) q^{95} +(1.68806 - 0.387888i) q^{96} +(-15.8202 + 0.591949i) q^{97} +(6.53107 - 2.28532i) q^{98} +(-3.15349 - 8.92827i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 720 q + 24 q^{11} - 12 q^{14} - 20 q^{15} - 60 q^{16} + 84 q^{21} + 20 q^{24} + 60 q^{25} - 144 q^{27} - 12 q^{29} + 72 q^{30} + 84 q^{33} - 40 q^{36} + 40 q^{39} - 12 q^{41} - 104 q^{45} + 24 q^{46} - 24 q^{47}+ \cdots - 84 q^{99}+O(q^{100}) $ 720 * q + 24 * q^11 - 12 * q^14 - 20 * q^15 - 60 * q^16 + 84 * q^21 + 20 * q^24 + 60 * q^25 - 144 * q^27 - 12 * q^29 + 72 * q^30 + 84 * q^33 - 40 * q^36 + 40 * q^39 - 12 * q^41 - 104 * q^45 + 24 * q^46 - 24 * q^47 + 60 * q^49 + 16 * q^54 - 144 * q^55 + 12 * q^56 + 12 * q^58 + 120 * q^59 - 16 * q^60 - 12 * q^61 + 36 * q^65 - 48 * q^66 - 36 * q^68 + 52 * q^69 - 180 * q^74 - 184 * q^75 - 132 * q^77 - 68 * q^78 + 12 * q^79 - 216 * q^81 + 96 * q^82 - 432 * q^83 - 80 * q^84 - 48 * q^85 - 200 * q^87 - 112 * q^90 - 252 * q^92 - 112 * q^93 + 192 * q^95 + 24 * q^97 - 84 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/522\mathbb{Z}\right)^\times$.

$n$	$379$	$407$
$\chi(n)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.593820	+	0.804598i	−0.419894	+	0.568937i
$2$	−0.593820	+	0.804598i	−0.419894	+	0.568937i
$3$	0.450735	+	1.67237i	0.260232	+	0.965546i
$3$	0.450735	+	1.67237i	0.260232	+	0.965546i
$4$	−0.294755	−	0.955573i	−0.147378	−	0.477786i
$5$	0.243395	−	0.620161i	0.108850	−	0.277344i	−0.866062	−	0.499937i	$-0.833357\pi$
$5$	0.243395	−	0.620161i	0.108850	−	0.277344i	0.974912	+	0.222592i	$0.0714519\pi$
$6$	−1.61324	−	0.630430i	−0.658604	−	0.257372i
$7$	−0.271358	−	0.0837030i	−0.102564	−	0.0316367i	0.243049	−	0.970014i	$-0.421853\pi$
$7$	−0.271358	−	0.0837030i	−0.102564	−	0.0316367i	−0.345612	+	0.938377i	$0.612329\pi$
$8$	0.943883	+	0.330279i	0.333713	+	0.116771i
$9$	−2.59368	+	1.50760i	−0.864559	+	0.502532i
$10$	0.354447	+	0.564099i	0.112086	+	0.178384i
$11$	−0.586788	+	3.10125i	−0.176923	+	0.935061i	0.775744	+	0.631047i	$0.217375\pi$
$11$	−0.586788	+	3.10125i	−0.176923	+	0.935061i	−0.952668	+	0.304014i	$0.901673\pi$
$12$	1.46522	−	0.923651i	0.422972	−	0.266635i
$13$	−4.46385	+	0.334520i	−1.23805	+	0.0927790i	−0.677613	−	0.735418i	$-0.736986\pi$
$13$	−4.46385	+	0.334520i	−1.23805	+	0.0927790i	−0.560437	+	0.828197i	$0.689367\pi$
$14$	0.228485	−	0.168630i	0.0610653	−	0.0450682i
$15$	1.14685	+	0.127520i	0.296115	+	0.0329255i
$16$	−0.826239	+	0.563320i	−0.206560	+	0.140830i
$17$	1.02539	−	1.02539i	0.248693	−	0.248693i	−0.571741	−	0.820434i	$-0.693732\pi$
$17$	1.02539	−	1.02539i	0.248693	−	0.248693i	0.820434	+	0.571741i	$0.193732\pi$
$18$	0.327169	−	2.98211i	0.0771145	−	0.702889i
$19$	−4.57694	+	2.87588i	−1.05002	+	0.659772i	−0.942423	−	0.334422i	$-0.891459\pi$
$19$	−4.57694	+	2.87588i	−1.05002	+	0.659772i	−0.107598	+	0.994194i	$0.534316\pi$
$20$	−0.664351	−	0.0497862i	−0.148553	−	0.0111325i
$21$	0.0176721	−	0.491541i	0.00385636	−	0.107263i
$22$	−2.14681	−	2.31371i	−0.457702	−	0.493285i
$23$	−1.14918	+	7.62434i	−0.239621	+	1.58978i	0.468350	+	0.883543i	$0.344849\pi$
$23$	−1.14918	+	7.62434i	−0.239621	+	1.58978i	−0.707971	+	0.706241i	$0.750389\pi$
$24$	−0.126909	+	1.72740i	−0.0259052	+	0.352603i
$25$	3.33990	+	3.09898i	0.667980	+	0.619795i
$26$	2.38157	−	3.79025i	0.467065	−	0.743329i
$27$	−3.69033	−	3.65807i	−0.710203	−	0.703996i
$28$			0.283975i			0.0536661i
$29$	4.91815	+	2.19359i	0.913277	+	0.407339i
$29$	4.91815	+	2.19359i	0.913277	+	0.407339i
$30$	−0.783624	+	0.847028i	−0.143069	+	0.154645i
$31$	−6.94582	+	3.03043i	−1.24751	+	0.544282i	−0.916760	−	0.399438i	$-0.869205\pi$
$31$	−6.94582	+	3.03043i	−1.24751	+	0.544282i	−0.330747	+	0.943720i	$0.607301\pi$
$32$	0.0373912	−	0.999301i	0.00660989	−	0.176653i
$33$	−5.45093	+	0.416512i	−0.948886	+	0.0725053i
$34$	0.216129	+	1.43392i	0.0370658	+	0.245915i
$35$	−0.117957	+	0.147913i	−0.0199383	+	0.0250018i
$36$	2.20512	+	2.03407i	0.367519	+	0.339012i
$37$	1.06483	−	3.04312i	0.175058	−	0.500286i	−0.822605	−	0.568613i	$-0.807480\pi$
$37$	1.06483	−	3.04312i	0.175058	−	0.500286i	0.997663	+	0.0683265i	$0.0217660\pi$
$38$	0.403951	−	5.39035i	0.0655295	−	0.874431i
$39$	−2.57146	−	7.31446i	−0.411763	−	1.17125i
$40$	0.434563	−	0.504971i	0.0687104	−	0.0798429i
$41$	0.802909	−	2.99650i	0.125393	−	0.467974i	−0.874460	−	0.485098i	$-0.838784\pi$
$41$	0.802909	−	2.99650i	0.125393	−	0.467974i	0.999853	+	0.0171232i	$0.00545075\pi$
$42$	0.384999	+	0.306106i	0.0594066	+	0.0472331i
$43$	2.38828	−	5.47400i	0.364210	−	0.834778i	−0.633905	−	0.773411i	$-0.718549\pi$
$43$	2.38828	−	5.47400i	0.364210	−	0.834778i	0.998115	−	0.0613672i	$-0.0195461\pi$
$44$	3.13643	−	0.353390i	0.472834	−	0.0532756i
$45$	0.303663	+	1.97544i	0.0452675	+	0.294481i
$46$	−5.45212	−	5.45212i	−0.803871	−	0.803871i
$47$	2.20929	+	0.418021i	0.322259	+	0.0609746i	0.344524	−	0.938777i	$-0.388040\pi$
$47$	2.20929	+	0.418021i	0.322259	+	0.0609746i	−0.0222654	+	0.999752i	$0.507088\pi$
$48$	−1.31450	−	1.12787i	−0.189731	−	0.162794i
$49$	−5.71704	−	3.89781i	−0.816720	−	0.556830i
$50$	−4.47673	+	0.847043i	−0.633105	+	0.119790i
$51$	2.17701	+	1.25266i	0.304843	+	0.175407i
$52$	1.63540	+	4.16693i	0.226789	+	0.577850i
$53$	2.95033	−	2.35281i	0.405259	−	0.323183i	−0.399556	−	0.916709i	$-0.630836\pi$
$53$	2.95033	−	2.35281i	0.405259	−	0.323183i	0.804815	+	0.593525i	$0.202264\pi$
$54$	5.13467	−	0.796990i	0.698740	−	0.108457i
$55$	1.78045	+	1.11873i	0.240076	+	0.150850i
$56$	−0.228485	−	0.168630i	−0.0305326	−	0.0225341i
$57$	−6.87254	−	6.35810i	−0.910290	−	0.842151i
$58$	−4.68545	+	2.65453i	−0.615230	+	0.348557i
$59$	0.839346	−	0.484597i	0.109274	−	0.0630891i	−0.444367	−	0.895845i	$-0.646571\pi$
$59$	0.839346	−	0.484597i	0.109274	−	0.0630891i	0.553641	+	0.832756i	$0.313238\pi$
$60$	−0.216185	−	1.13348i	−0.0279093	−	0.146332i
$61$	−2.03520	−	3.85079i	−0.260581	−	0.493043i	0.718760	−	0.695258i	$-0.244710\pi$
$61$	−2.03520	−	3.85079i	−0.260581	−	0.493043i	−0.979341	+	0.202215i	$0.935186\pi$
$62$	1.68629	−	7.38813i	0.214159	−	0.938293i
$63$	0.830006	−	0.192000i	0.104571	−	0.0241898i
$64$	0.781831	+	0.623490i	0.0977289	+	0.0779362i
$65$	−0.879024	+	2.84973i	−0.109030	+	0.353465i
$66$	2.90175	−	4.63314i	0.357181	−	0.570300i
$67$	−0.661007	+	0.969520i	−0.0807549	+	0.118446i	−0.864491	−	0.502648i	$-0.832359\pi$
$67$	−0.661007	+	0.969520i	−0.0807549	+	0.118446i	0.783736	+	0.621094i	$0.213311\pi$
$68$	−1.28207	−	0.677595i	−0.155474	−	0.0821704i
$69$	−13.2687	+	1.51469i	−1.59737	+	0.182347i
$70$	−0.0489654	−	0.182741i	−0.00585248	−	0.0218418i
$71$	14.5046	+	6.98504i	1.72138	+	0.828972i	0.988972	+	0.148104i	$0.0473172\pi$
$71$	14.5046	+	6.98504i	1.72138	+	0.828972i	0.732407	+	0.680868i	$0.238397\pi$
$72$	−2.94605	+	0.566357i	−0.347196	+	0.0667459i
$73$	1.43993	+	12.7797i	0.168531	+	1.49576i	0.738591	+	0.674153i	$0.235491\pi$
$73$	1.43993	+	12.7797i	0.168531	+	1.49576i	−0.570060	+	0.821603i	$0.693080\pi$
$74$	1.81617	+	2.66383i	0.211125	+	0.309664i
$75$	−3.67724	+	6.98238i	−0.424611	+	0.806256i
$76$	4.09719	+	3.52592i	0.469980	+	0.404451i
$77$	0.418813	−	0.792434i	0.0477282	−	0.0903062i
$78$	7.41218	+	2.27448i	0.839264	+	0.257535i
$79$	6.79192	−	5.84492i	0.764151	−	0.657605i	−0.181279	−	0.983432i	$-0.558024\pi$
$79$	6.79192	−	5.84492i	0.764151	−	0.657605i	0.945430	+	0.325827i	$0.105643\pi$
$80$	0.148246	+	0.649510i	0.0165745	+	0.0726175i
$81$	4.45431	−	7.82043i	0.494923	−	0.868937i
$82$	1.93419	+	2.42540i	0.213596	+	0.267841i
$83$	2.79624	−	3.01363i	0.306927	−	0.330789i	−0.560686	−	0.828028i	$-0.689463\pi$
$83$	2.79624	−	3.01363i	0.306927	−	0.330789i	0.867613	+	0.497240i	$0.165653\pi$
$84$	−0.474912	+	0.127997i	−0.0518171	+	0.0139656i
$85$	−0.386331	−	0.885480i	−0.0419035	−	0.0960438i
$86$	2.98616	+	5.17218i	0.322006	+	0.557731i
$87$	−1.45173	+	9.21371i	−0.155641	+	0.987814i
$88$	−1.57814	+	2.73341i	−0.168230	+	0.291383i
$89$	−8.11748	−	0.914620i	−0.860451	−	0.0969496i	−0.329299	−	0.944226i	$-0.606812\pi$
$89$	−8.11748	−	0.914620i	−0.860451	−	0.0969496i	−0.531152	+	0.847276i	$0.678241\pi$
$90$	−1.76975	−	0.928728i	−0.186548	−	0.0978965i
$91$	1.23930	+	0.282863i	0.129914	+	0.0296521i
$92$	7.62434	−	1.14918i	0.794892	−	0.119811i
$93$	−8.19874	−	10.2501i	−0.850170	−	1.06289i
$94$	−1.64826	+	1.52936i	−0.170005	+	0.157742i
$95$	0.669504	+	3.53841i	0.0686897	+	0.363034i
$96$	1.68806	−	0.387888i	0.172287	−	0.0395886i
$97$	−15.8202	+	0.591949i	−1.60630	+	0.0601034i	−0.825397	−	0.564553i	$-0.809048\pi$
$97$	−15.8202	+	0.591949i	−1.60630	+	0.0601034i	−0.780899	+	0.624657i	$0.785239\pi$
$98$	6.53107	−	2.28532i	0.659737	−	0.230852i
$99$	−3.15349	−	8.92827i	−0.316938	−	0.897325i
$100$	1.97684	−	4.10496i	0.197684	−	0.410496i
$101$	16.1513	+	7.04675i	1.60712	+	0.701178i	0.995915	−	0.0902964i	$-0.0287814\pi$
$101$	16.1513	+	7.04675i	1.60712	+	0.701178i	0.611202	+	0.791474i	$0.290686\pi$
$102$	−2.30064	+	1.00777i	−0.227797	+	0.0997838i
$103$	0.861614	+	11.4974i	0.0848974	+	1.13288i	0.863157	+	0.504935i	$0.168483\pi$
$103$	0.861614	+	11.4974i	0.0848974	+	1.13288i	−0.778260	+	0.627942i	$0.783897\pi$
$104$	−4.32384	−	1.15857i	−0.423987	−	0.113607i
$105$	−0.300533	−	0.130598i	−0.0293290	−	0.0127451i
$106$	0.141100	+	3.77097i	0.0137048	+	0.366269i
$107$	6.49175	+	13.4803i	0.627581	+	1.30319i	0.936022	+	0.351943i	$0.114479\pi$
$107$	6.49175	+	13.4803i	0.627581	+	1.30319i	−0.308440	+	0.951244i	$0.599807\pi$
$108$	−2.40781	+	4.60461i	−0.231692	+	0.443079i
$109$	8.78750	−	2.00569i	0.841690	−	0.192110i	0.220124	−	0.975472i	$-0.429354\pi$
$109$	8.78750	−	2.00569i	0.841690	−	0.192110i	0.621566	+	0.783362i	$0.286497\pi$
$110$	−1.95740	+	0.768222i	−0.186630	+	0.0732471i
$111$	5.56920	+	0.409161i	0.528605	+	0.0388359i
$112$	0.271358	−	0.0837030i	0.0256410	−	0.00790919i
$113$	−9.72684	−	0.363953i	−0.915024	−	0.0342378i	−0.424270	−	0.905536i	$-0.639469\pi$
$113$	−9.72684	−	0.363953i	−0.915024	−	0.0342378i	−0.490754	+	0.871298i	$0.663279\pi$
$114$	9.19676	−	1.75406i	0.861356	−	0.164283i
$115$	4.44861	+	2.56841i	0.414835	+	0.239505i
$116$	0.646486	−	5.34622i	0.0600247	−	0.496384i
$117$	11.0735	−	7.59732i	1.02374	−	0.702372i
$118$	−0.108515	+	0.963099i	−0.00998963	+	0.0886604i
$119$	−0.364076	+	0.192420i	−0.0333748	+	0.0176391i
$120$	1.04037	+	0.499144i	0.0949727	+	0.0455654i
$121$	0.966193	+	0.379203i	0.0878358	+	0.0344730i
$122$	4.30688	+	0.649158i	0.389927	+	0.0587720i
$123$	5.37317	−	0.00786097i	0.484482	−	0.000708800i
$124$	4.94312	+	5.74400i	0.443905	+	0.515827i
$125$	5.73597	−	2.76230i	0.513041	−	0.247067i
$126$	−0.338391	+	0.781835i	−0.0301463	+	0.0696514i
$127$	3.66671	+	10.4789i	0.325368	+	0.929848i	0.984123	+	0.177490i	$0.0567978\pi$
$127$	3.66671	+	10.4789i	0.325368	+	0.929848i	−0.658755	+	0.752358i	$0.728917\pi$
$128$	−0.965926	+	0.258819i	−0.0853766	+	0.0228766i
$129$	10.2311	+	1.52678i	0.900795	+	0.134426i
$130$	−1.77090	−	2.39949i	−0.155318	−	0.210449i
$131$	−4.61697	−	6.25577i	−0.403386	−	0.546569i	0.555072	−	0.831803i	$-0.312691\pi$
$131$	−4.61697	−	6.25577i	−0.403386	−	0.546569i	−0.958458	+	0.285233i	$0.907929\pi$
$132$	2.00470	+	5.08600i	0.174487	+	0.442679i
$133$	1.48271	−	0.397291i	0.128567	−	0.0344495i
$134$	−0.387554	−	1.10757i	−0.0334796	−	0.0956791i
$135$	−3.16680	+	1.39824i	−0.272555	+	0.120341i
$136$	1.30651	−	0.629183i	0.112032	−	0.0539520i
$137$	−2.43287	−	2.82705i	−0.207854	−	0.241531i	0.644362	−	0.764720i	$-0.277123\pi$
$137$	−2.43287	−	2.82705i	−0.207854	−	0.241531i	−0.852216	+	0.523190i	$0.824742\pi$
$138$	6.66052	−	11.5754i	0.566981	−	0.985367i
$139$	6.20725	+	0.935592i	0.526492	+	0.0793559i	0.406910	−	0.913468i	$-0.366606\pi$
$139$	6.20725	+	0.935592i	0.526492	+	0.0793559i	0.119582	+	0.992824i	$0.461844\pi$
$140$	0.176110	+	0.0691180i	0.0148840	+	0.00584154i
$141$	0.296718	+	3.88319i	0.0249882	+	0.327023i
$142$	−14.2333	+	7.52250i	−1.19443	+	0.631274i
$143$	1.58191	−	14.0398i	0.132286	−	1.17407i
$144$	1.29374	−	2.70670i	0.107811	−	0.225559i
$145$	2.55743	−	2.51613i	0.212383	−	0.208953i
$146$	−11.1376	−	6.43031i	−0.921756	−	0.532176i
$147$	3.94174	−	11.3179i	0.325109	−	0.933486i
$148$	−3.22179	−	0.120551i	−0.264830	−	0.00990922i
$149$	−0.744524	+	0.229655i	−0.0609937	+	0.0188141i	−0.325102	−	0.945679i	$-0.605399\pi$
$149$	−0.744524	+	0.229655i	−0.0609937	+	0.0188141i	0.264108	+	0.964493i	$0.414922\pi$
$150$	−3.43439	−	7.10498i	−0.280417	−	0.580119i
$151$	12.9013	−	5.06338i	1.04989	−	0.412052i	0.223238	−	0.974764i	$-0.428337\pi$
$151$	12.9013	−	5.06338i	1.04989	−	0.412052i	0.826653	+	0.562712i	$0.190242\pi$
$152$	−5.26994	+	1.20283i	−0.427449	+	0.0975624i
$153$	−1.11365	+	4.20540i	−0.0900336	+	0.339986i
$154$	0.388891	+	0.807539i	0.0313377	+	0.0650734i
$155$	0.188775	+	5.04512i	0.0151628	+	0.405234i
$156$	−6.23154	+	4.61319i	−0.498923	+	0.369351i
$157$	15.2586	+	4.08852i	1.21777	+	0.326299i	0.809804	−	0.586700i	$-0.199573\pi$
$157$	15.2586	+	4.08852i	1.21777	+	0.326299i	0.407961	+	0.912999i	$0.366240\pi$
$158$	0.669631	+	8.93560i	0.0532729	+	0.710878i
$159$	5.26459	+	3.87356i	0.417510	+	0.307194i
$160$	−0.610626	−	0.266414i	−0.0482742	−	0.0210618i
$161$	0.950020	−	1.97274i	0.0748721	−	0.155474i
$162$	3.64724	+	8.22786i	0.286554	+	0.646442i
$163$	−1.02164	+	0.357487i	−0.0800209	+	0.0280005i	−0.369993	−	0.929035i	$-0.620640\pi$
$163$	−1.02164	+	0.357487i	−0.0800209	+	0.0280005i	0.289972	+	0.957035i	$0.406354\pi$
$164$	−3.10003	+	0.115995i	−0.242072	+	0.00905769i
$165$	−1.06843	+	3.48183i	−0.0831769	+	0.271060i
$166$	0.764296	+	4.03940i	0.0593209	+	0.313518i
$167$	−8.91255	+	8.26964i	−0.689674	+	0.639924i	−0.945053	−	0.326917i	$-0.893990\pi$
$167$	−8.91255	+	8.26964i	−0.689674	+	0.639924i	0.255379	+	0.966841i	$0.417800\pi$
$168$	0.179026	−	0.458120i	0.0138122	−	0.0353448i
$169$	6.95928	−	1.04894i	0.535329	−	0.0806878i
$170$	0.941866	+	0.214975i	0.0722379	+	0.0164878i
$171$	7.53543	−	14.3593i	0.576249	−	1.09808i
$172$	−5.93477	−	0.668688i	−0.452522	−	0.0509870i
$173$	−5.14940	+	8.91903i	−0.391502	+	0.678101i	−0.992648	−	0.121038i	$-0.961378\pi$
$173$	−5.14940	+	8.91903i	−0.391502	+	0.678101i	0.601146	+	0.799139i	$0.294711\pi$
$174$	−6.55127	−	6.63934i	−0.496650	−	0.503327i
$175$	−0.646917	−	1.12049i	−0.0489023	−	0.0847013i
$176$	−1.26217	−	2.89292i	−0.0951395	−	0.218062i
$177$	1.18875	+	1.18528i	0.0893519	+	0.0890908i
$178$	5.55623	−	5.98819i	0.416457	−	0.448834i
$179$	−6.25402	−	7.84229i	−0.467447	−	0.586160i	0.491097	−	0.871105i	$-0.336596\pi$
$179$	−6.25402	−	7.84229i	−0.467447	−	0.586160i	−0.958544	+	0.284945i	$0.908025\pi$
$180$	1.79817	−	0.872443i	0.134028	−	0.0650281i
$181$	−3.03815	−	13.3110i	−0.225824	−	0.989398i	−0.953005	−	0.302953i	$-0.902027\pi$
$181$	−3.03815	−	13.3110i	−0.225824	−	0.989398i	0.727182	−	0.686445i	$-0.240830\pi$
$182$	−0.963515	+	0.829171i	−0.0714205	+	0.0614623i
$183$	5.52263	−	5.13930i	0.408244	−	0.379908i
$184$	−3.60285	+	6.81693i	−0.265606	+	0.502551i
$185$	−1.62805	−	1.40105i	−0.119697	−	0.103007i
$186$	13.1158	−	0.509975i	0.961696	−	0.0373931i
$187$	2.57830	+	3.78167i	0.188544	+	0.276543i
$188$	−0.251751	−	2.23436i	−0.0183609	−	0.162957i
$189$	0.695209	+	1.30154i	0.0505690	+	0.0946731i
$190$	−3.24457	−	1.56250i	−0.235385	−	0.113356i
$191$	1.03524	+	3.86356i	0.0749073	+	0.279558i	0.993212	−	0.116316i	$-0.0371085\pi$
$191$	1.03524	+	3.86356i	0.0749073	+	0.279558i	−0.918305	+	0.395874i	$0.870442\pi$
$192$	−0.690310	+	1.58854i	−0.0498188	+	0.114643i
$193$	−23.5828	−	12.4639i	−1.69753	−	0.897169i	−0.979576	−	0.201076i	$-0.935556\pi$
$193$	−23.5828	−	12.4639i	−1.69753	−	0.897169i	−0.717952	−	0.696093i	$-0.754920\pi$
$194$	8.91806	−	13.0804i	0.640279	−	0.939118i
$195$	−5.16202	−	0.185587i	−0.369660	−	0.0132902i
$196$	−2.03952	+	6.61195i	−0.145680	+	0.472282i
$197$	13.3847	+	10.6739i	0.953619	+	0.760486i	0.970930	−	0.239364i	$-0.0769391\pi$
$197$	13.3847	+	10.6739i	0.953619	+	0.760486i	−0.0173108	+	0.999850i	$0.505510\pi$
$198$	9.05627	+	2.76450i	0.643601	+	0.196464i
$199$	2.78874	−	12.2183i	0.197688	−	0.866129i	−0.774620	−	0.632427i	$-0.782059\pi$
$199$	2.78874	−	12.2183i	0.197688	−	0.866129i	0.972308	−	0.233702i	$-0.0750841\pi$
$200$	2.12895	+	4.02817i	0.150540	+	0.284835i
$201$	−1.91934	−	0.668456i	−0.135380	−	0.0471492i
$202$	−15.2608	+	8.81082i	−1.07375	+	0.619927i
$203$	−1.15097	−	1.00691i	−0.0807823	−	0.0706714i
$204$	0.555318	−	2.44952i	0.0388800	−	0.171501i
$205$	−1.66289	−	1.22727i	−0.116141	−	0.0857160i
$206$	−9.76246	−	6.13416i	−0.680183	−	0.427387i
$207$	−8.51381	−	21.5076i	−0.591750	−	1.49488i
$208$	3.49977	−	2.79097i	0.242665	−	0.193519i
$209$	−6.23313	−	15.8818i	−0.431155	−	1.09856i
$210$	0.283542	−	0.164256i	0.0195662	−	0.0113348i
$211$	20.6865	−	3.91411i	1.42412	−	0.269458i	0.583954	−	0.811787i	$-0.301505\pi$
$211$	20.6865	−	3.91411i	1.42412	−	0.269458i	0.840167	+	0.542329i	$0.182457\pi$
$212$	−3.11790	−	2.12575i	−0.214139	−	0.145997i
$213$	−5.14389	+	27.4055i	−0.352453	+	1.87780i
$214$	−14.7011	−	2.78160i	−1.00495	−	0.190146i
$215$	−2.81347	−	2.81347i	−0.191877	−	0.191877i
$216$	−2.27505	−	4.67163i	−0.154798	−	0.317864i
$217$	2.13846	−	0.240947i	0.145168	−	0.0163565i
$218$	−3.60442	+	8.26142i	−0.244122	+	0.559534i
$219$	−20.7235	+	8.16838i	−1.40036	+	0.551968i
$220$	0.544232	−	2.03110i	0.0366921	−	0.136937i
$221$	−4.23417	+	4.92019i	−0.284821	+	0.330968i
$222$	−3.63631	+	4.23800i	−0.244053	+	0.284436i
$223$	−0.370984	+	4.95044i	−0.0248429	+	0.331506i	0.970910	+	0.239443i	$0.0769650\pi$
$223$	−0.370984	+	4.95044i	−0.0248429	+	0.331506i	−0.995753	+	0.0920624i	$0.970654\pi$
$224$	−0.0937909	+	0.268039i	−0.00626666	+	0.0179091i
$225$	−13.3346	−	3.00252i	−0.888975	−	0.200168i
$226$	6.06883	−	7.61007i	0.403693	−	0.506214i
$227$	4.36273	+	28.9448i	0.289564	+	1.92113i	0.379511	+	0.925187i	$0.376092\pi$
$227$	4.36273	+	28.9448i	0.289564	+	1.92113i	−0.0899472	+	0.995947i	$0.528670\pi$
$228$	−4.04991	+	8.44129i	−0.268212	+	0.559038i
$229$	0.291134	−	7.78073i	0.0192387	−	0.514165i	−0.956046	−	0.293215i	$-0.905275\pi$
$229$	0.291134	−	7.78073i	0.0192387	−	0.514165i	0.975285	−	0.220950i	$-0.0709157\pi$
$230$	−4.70821	+	2.05417i	−0.310450	+	0.135448i
$231$	1.51402	+	0.343236i	0.0996152	+	0.0225832i
$232$	3.91766	+	3.69485i	0.257207	+	0.242579i
$233$		−	10.0148i		−	0.656091i	−0.944662	−	0.328045i	$-0.893610\pi$
$233$		−	10.0148i		−	0.656091i	0.944662	−	0.328045i	$-0.106390\pi$
$234$	−0.462862	+	13.4211i	−0.0302582	+	0.877367i
$235$	0.796972	−	1.26837i	0.0519887	−	0.0827396i
$236$	−0.710469	−	0.659219i	−0.0462476	−	0.0429115i
$237$	12.8363	+	8.72413i	0.833805	+	0.566693i
$238$	0.0613751	−	0.407197i	0.00397836	−	0.0263947i
$239$	−18.7715	−	20.2309i	−1.21423	−	1.30863i	−0.937628	−	0.347640i	$-0.886983\pi$
$239$	−18.7715	−	20.2309i	−1.21423	−	1.30863i	−0.276599	−	0.960985i	$-0.589207\pi$
$240$	−1.01940	+	0.540681i	−0.0658023	+	0.0349008i
$241$	−15.0339	−	1.12664i	−0.968421	−	0.0725731i	−0.418882	−	0.908041i	$-0.637578\pi$
$241$	−15.0339	−	1.12664i	−0.968421	−	0.0725731i	−0.549539	+	0.835468i	$0.685197\pi$
$242$	−0.878851	+	0.552219i	−0.0564947	+	0.0354980i
$243$	15.0864	+	3.92434i	0.967793	+	0.251746i
$244$	−3.07982	+	3.07982i	−0.197165	+	0.197165i
$245$	−3.80877	+	2.59678i	−0.243333	+	0.165902i
$246$	−3.18437	+	4.32791i	−0.203028	+	0.275937i
$247$	19.4687	−	14.3686i	1.23877	−	0.914251i
$248$	−7.55694	+	0.566314i	−0.479866	+	0.0359610i
$249$	6.30028	+	3.31801i	0.399264	+	0.210271i
$250$	−1.18360	+	6.25545i	−0.0748572	+	0.395630i
$251$	3.16893	+	5.04332i	0.200021	+	0.318331i	0.931640	−	0.363382i	$-0.118378\pi$
$251$	3.16893	+	5.04332i	0.200021	+	0.318331i	−0.731619	+	0.681713i	$0.761235\pi$
$252$	−0.428119	−	0.736538i	−0.0269689	−	0.0463975i
$253$	−22.9706	−	8.03777i	−1.44415	−	0.505330i
$254$	−10.6086	−	3.27233i	−0.665645	−	0.205324i
$255$	1.30672	−	1.04521i	0.0818301	−	0.0654534i
$256$	0.365341	−	0.930874i	0.0228338	−	0.0581796i
$257$	−0.303951	−	0.985385i	−0.0189599	−	0.0614666i	0.945598	−	0.325336i	$-0.105477\pi$
$257$	−0.303951	−	0.985385i	−0.0189599	−	0.0614666i	−0.964558	+	0.263869i	$0.915001\pi$
$258$	−7.30386	+	7.32526i	−0.454718	+	0.456051i
$259$	−0.543670	+	0.736647i	−0.0337820	+	0.0457730i
$260$	2.98222			0.184949
$261$	−16.0631	+	1.72511i	−0.994282	+	0.106782i
$262$	7.77503			0.480343
$263$	−10.8389	+	14.6862i	−0.668355	+	0.905588i	−0.999275	−	0.0380703i	$-0.987879\pi$
$263$	−10.8389	+	14.6862i	−0.668355	+	0.905588i	0.330920	+	0.943659i	$0.392641\pi$
$264$	−5.28261	−	1.40719i	−0.325122	−	0.0866066i
$265$	−0.741024	−	2.40234i	−0.0455207	−	0.147575i
$266$	−0.560804	+	1.42891i	−0.0343851	+	0.0876118i
$267$	−2.12924	−	13.9877i	−0.130308	−	0.856035i
$268$	1.12128	+	0.345870i	0.0684932	+	0.0211274i
$269$	−11.4389	−	4.00264i	−0.697441	−	0.244045i	−0.0418089	−	0.999126i	$-0.513312\pi$
$269$	−11.4389	−	4.00264i	−0.697441	−	0.244045i	−0.655632	+	0.755080i	$0.727598\pi$
$270$	0.755491	−	3.37830i	0.0459777	−	0.205597i
$271$	9.20529	+	14.6501i	0.559181	+	0.889932i	0.999971	−	0.00767855i	$-0.00244418\pi$
$271$	9.20529	+	14.6501i	0.559181	+	0.889932i	−0.440789	+	0.897611i	$0.645301\pi$
$272$	−0.269594	+	1.42484i	−0.0163465	+	0.0863934i
$273$	0.0855445	+	2.20008i	0.00517739	+	0.133155i
$274$	3.71932	−	0.278725i	0.224692	−	0.0168384i
$275$	−11.5705	+	8.53942i	−0.697728	+	0.514946i
$276$	5.35842	+	12.2328i	0.322539	+	0.736326i
$277$	−9.40420	+	6.41168i	−0.565044	+	0.385240i	−0.811887	−	0.583815i	$-0.801559\pi$
$277$	−9.40420	+	6.41168i	−0.565044	+	0.385240i	0.246843	+	0.969056i	$0.420607\pi$
$278$	−4.43877	+	4.43877i	−0.266219	+	0.266219i
$279$	13.4466	−	18.3315i	0.805024	−	1.09748i
$280$	−0.160190	+	0.100654i	−0.00957317	+	0.00601522i
$281$	10.6256	+	0.796275i	0.633867	+	0.0475018i	0.387789	−	0.921748i	$-0.373239\pi$
$281$	10.6256	+	0.796275i	0.633867	+	0.0475018i	0.246078	+	0.969250i	$0.420858\pi$
$282$	−3.30060	−	2.06718i	−0.196548	−	0.123099i
$283$	0.701432	+	0.755964i	0.0416958	+	0.0449374i	0.753555	−	0.657384i	$-0.228337\pi$
$283$	0.701432	+	0.755964i	0.0416958	+	0.0449374i	−0.711860	+	0.702322i	$0.752147\pi$
$284$	2.39941	−	15.9191i	0.142379	−	0.944623i
$285$	−5.61579	+	2.71455i	−0.332650	+	0.160796i
$286$	10.3570	+	9.60992i	0.612424	+	0.568246i
$287$	−0.468692	+	0.745919i	−0.0276660	+	0.0440302i
$288$	1.40956	+	2.64823i	0.0830592	+	0.156049i
$289$			14.8972i			0.876303i
$290$	0.505820	+	3.55183i	0.0297028	+	0.208571i
$291$	−8.12067	−	26.1905i	−0.476042	−	1.53531i
$292$	11.7876	−	5.14286i	0.689814	−	0.300963i
$293$	−0.0209968	+	0.561151i	−0.00122664	+	0.0327828i	−0.999780	−	0.0209948i	$-0.993317\pi$
$293$	−0.0209968	+	0.561151i	−0.00122664	+	0.0327828i	0.998553	+	0.0537775i	$0.0171262\pi$
$294$	6.76569	+	9.89232i	0.394583	+	0.576932i
$295$	−0.0962351	−	0.638478i	−0.00560302	−	0.0371736i
$296$	2.01016	−	2.52066i	0.116838	−	0.146510i
$297$	13.5100	−	9.29810i	0.783931	−	0.539531i
$298$	0.257333	−	0.735416i	0.0149069	−	0.0426015i
$299$	2.57930	−	34.4183i	0.149165	−	1.99046i
$300$	7.75606	+	1.45578i	0.447796	+	0.0840493i
$301$	−1.10627	+	1.28551i	−0.0637644	+	0.0740956i
$302$	−3.58706	+	13.3871i	−0.206412	+	0.770340i
$303$	−4.50484	+	30.1873i	−0.258797	+	1.73421i
$304$	2.16160	−	4.95445i	0.123976	−	0.284157i
$305$	−2.88347	+	0.324889i	−0.165107	+	0.0186031i
$306$	−2.72234	−	3.39329i	−0.155626	−	0.193982i
$307$	0.561795	+	0.561795i	0.0320633	+	0.0320633i	0.722957	−	0.690893i	$-0.242783\pi$
$307$	0.561795	+	0.561795i	0.0320633	+	0.0320633i	−0.690893	+	0.722957i	$0.742783\pi$
$308$	−0.880675	−	0.166633i	−0.0501811	−	0.00949478i
$309$	−18.8397	+	6.62324i	−1.07175	+	0.376783i
$310$	−4.17139	−	2.84401i	−0.236919	−	0.161529i
$311$	5.19908	−	0.983720i	0.294813	−	0.0557816i	−0.0364011	−	0.999337i	$-0.511589\pi$
$311$	5.19908	−	0.983720i	0.294813	−	0.0557816i	0.331214	+	0.943556i	$0.392542\pi$
$312$	−0.0113431	−	7.75329i	−0.000642177	−	0.438944i
$313$	−0.748635	−	1.90749i	−0.0423154	−	0.107818i	0.908154	−	0.418637i	$-0.137492\pi$
$313$	−0.748635	−	1.90749i	−0.0423154	−	0.107818i	−0.950469	+	0.310819i	$0.899397\pi$
$314$	−12.3504	+	9.84915i	−0.696976	+	0.555820i
$315$	0.0829484	−	0.561469i	0.00467361	−	0.0316352i
$316$	−7.58720	−	4.76736i	−0.426813	−	0.268185i
$317$	7.34617	+	5.42172i	0.412602	+	0.304514i	0.780270	−	0.625443i	$-0.215082\pi$
$317$	7.34617	+	5.42172i	0.412602	+	0.304514i	−0.367668	+	0.929957i	$0.619844\pi$
$318$	−6.24288	+	1.93568i	−0.350083	+	0.108548i
$319$	−9.68877	+	13.9652i	−0.542467	+	0.781902i
$320$	0.576958	−	0.333107i	0.0322529	−	0.0186212i
$321$	−19.6180	+	16.9327i	−1.09497	+	0.945090i
$322$	1.02312	+	1.93584i	0.0570162	+	0.107880i
$323$	−1.74424	+	7.64203i	−0.0970524	+	0.425214i
$324$	−8.78592	−	1.95131i	−0.488107	−	0.108406i
$325$	−15.9455	−	12.7161i	−0.884497	−	0.705363i
$326$	0.319036	−	1.03429i	0.0176698	−	0.0572841i
$327$	7.31510	+	13.7920i	0.404526	+	0.762697i
$328$	1.74753	−	2.56316i	0.0964914	−	0.141527i
$329$	−0.564521	−	0.298358i	−0.0311231	−	0.0164490i
$330$	−2.16702	−	2.92724i	−0.119291	−	0.161139i
$331$	−3.15083	−	11.7591i	−0.173185	−	0.646337i	−0.996854	−	0.0792647i	$-0.974743\pi$
$331$	−3.15083	−	11.7591i	−0.173185	−	0.646337i	0.823668	−	0.567072i	$-0.191924\pi$
$332$	−3.70395	−	1.78373i	−0.203281	−	0.0978948i
$333$	1.82596	+	9.49822i	0.100062	+	0.520499i
$334$	−1.36128	−	12.0817i	−0.0744860	−	0.661081i
$335$	0.440372	+	0.645907i	0.0240601	+	0.0352897i
$336$	0.262293	+	0.416085i	0.0143093	+	0.0226993i
$337$	−10.1958	−	8.77419i	−0.555400	−	0.477960i	0.329233	−	0.944249i	$-0.393210\pi$
$337$	−10.1958	−	8.77419i	−0.555400	−	0.477960i	−0.884633	+	0.466288i	$0.845591\pi$
$338$	−3.28858	+	6.22230i	−0.178875	+	0.338449i
$339$	−3.77556	−	16.4310i	−0.205060	−	0.892408i
$340$	−0.732268	+	0.630167i	−0.0397128	+	0.0341756i
$341$	−5.32240	−	23.3189i	−0.288224	−	1.26279i
$342$	7.07875	+	14.5898i	0.382775	+	0.788927i
$343$	2.46450	+	3.09038i	0.133070	+	0.166865i
$344$	4.06221	−	4.37802i	0.219020	−	0.236047i
$345$	−2.29019	+	8.59741i	−0.123300	+	0.462869i
$346$	−4.11841	−	9.43950i	−0.221407	−	0.507471i
$347$	−3.78303	−	6.55240i	−0.203084	−	0.351751i	0.746437	−	0.665456i	$-0.231763\pi$
$347$	−3.78303	−	6.55240i	−0.203084	−	0.351751i	−0.949520	+	0.313705i	$0.898430\pi$
$348$	9.23228	−	1.32856i	0.494902	−	0.0712183i
$349$	14.8180	−	25.6655i	0.793190	−	1.37384i	−0.130793	−	0.991410i	$-0.541752\pi$
$349$	14.8180	−	25.6655i	0.793190	−	1.37384i	0.923982	−	0.382435i	$-0.124914\pi$
$350$	1.28570	+	0.144863i	0.0687234	+	0.00774327i
$351$	17.6968	+	15.0946i	0.944583	+	0.805691i
$352$	3.07714	+	0.702337i	0.164012	+	0.0374347i
$353$	−11.0033	+	1.65848i	−0.585648	+	0.0882722i	−0.435181	−	0.900343i	$-0.643316\pi$
$353$	−11.0033	+	1.65848i	−0.585648	+	0.0882722i	−0.150467	+	0.988615i	$0.548078\pi$
$354$	−1.65957	+	0.252624i	−0.0882054	+	0.0134268i
$355$	7.86220	−	7.29505i	0.417282	−	0.387181i
$356$	1.51868	+	8.02643i	0.0804900	+	0.425400i
$357$	−0.485899	−	0.522141i	−0.0257165	−	0.0276346i
$358$	10.0237	−	0.375059i	0.529766	−	0.0198225i
$359$	−21.7579	+	7.61343i	−1.14834	+	0.401822i	−0.836314	−	0.548252i	$-0.815294\pi$
$359$	−21.7579	+	7.61343i	−1.14834	+	0.401822i	−0.312027	+	0.950073i	$0.601008\pi$
$360$	−0.365823	+	1.96488i	−0.0192806	+	0.103558i
$361$	4.43389	−	9.20706i	0.233363	−	0.484582i
$362$	12.5141	+	5.45985i	0.657727	+	0.286963i
$363$	−0.198672	+	1.78676i	−0.0104276	+	0.0937805i
$364$	−0.0949950	−	1.26762i	−0.00497909	−	0.0664414i
$365$	8.27597	+	2.21754i	0.433184	+	0.116071i
$366$	0.855626	+	7.49532i	0.0447243	+	0.391786i
$367$	−0.948173	−	25.3404i	−0.0494942	−	1.32276i	−0.773865	−	0.633350i	$-0.781679\pi$
$367$	−0.948173	−	25.3404i	−0.0494942	−	1.32276i	0.724371	−	0.689410i	$-0.242130\pi$
$368$	−3.34544	−	6.94688i	−0.174393	−	0.362131i
$369$	2.43502	+	8.98241i	0.126762	+	0.467605i
$370$	2.09405	−	0.477953i	0.108865	−	0.0248476i
$371$	−0.997534	+	0.391503i	−0.0517894	+	0.0203258i
$372$	−7.37810	+	10.8558i	−0.382536	+	0.562845i
$373$	27.7446	−	8.55806i	1.43656	−	0.443120i	0.523878	−	0.851793i	$-0.324485\pi$
$373$	27.7446	−	8.55806i	1.43656	−	0.443120i	0.912681	+	0.408673i	$0.134008\pi$
$374$	−4.57377	−	0.171138i	−0.236504	−	0.00884935i
$375$	7.20500	+	8.34763i	0.372064	+	0.431070i
$376$	1.94725	+	1.12425i	0.100422	+	0.0579786i
$377$	−22.6877	−	8.14665i	−1.16847	−	0.419574i
$378$	−1.46005	−	0.213517i	−0.0750966	−	0.0109821i
$379$	0.306359	−	2.71901i	0.0157366	−	0.139666i	−0.983387	−	0.181521i	$-0.941898\pi$
$379$	0.306359	−	2.71901i	0.0157366	−	0.139666i	0.999124	+	0.0418546i	$0.0133266\pi$
$380$	3.18387	−	1.68273i	0.163329	−	0.0863220i
$381$	−15.8719	+	10.8553i	−0.813140	+	0.556134i
$382$	−3.72336	−	1.46131i	−0.190504	−	0.0747672i
$383$	11.0470	+	1.66506i	0.564474	+	0.0850807i	0.425079	−	0.905156i	$-0.360246\pi$
$383$	11.0470	+	1.66506i	0.564474	+	0.0850807i	0.139394	+	0.990237i	$0.455484\pi$
$384$	−0.868219	−	1.49873i	−0.0443061	−	0.0764818i
$385$	−0.389499	−	0.452606i	−0.0198507	−	0.0230669i
$386$	24.0323	−	11.5734i	1.22321	−	0.589069i
$387$	2.05815	+	17.7984i	0.104622	+	0.904741i
$388$	5.22873	+	14.9429i	0.265449	+	0.758608i
$389$	−9.91315	+	2.65622i	−0.502616	+	0.134676i	−0.501214	−	0.865323i	$-0.667113\pi$
$389$	−9.91315	+	2.65622i	−0.502616	+	0.134676i	−0.00140240	+	0.999999i	$0.500446\pi$
$390$	3.21463	−	4.04314i	0.162779	−	0.204733i
$391$	6.63955	+	8.99626i	0.335776	+	0.454961i
$392$	−4.10885	−	5.56730i	−0.207529	−	0.281191i
$393$	8.38097	−	10.5410i	0.422764	−	0.531723i
$394$	−16.5363	+	4.43089i	−0.833087	+	0.223225i
$395$	−1.97167	−	5.63471i	−0.0992055	−	0.283513i
$396$	−7.60211	+	5.64504i	−0.382020	+	0.283674i
$397$	−14.0274	+	6.75525i	−0.704016	+	0.339036i	−0.751406	−	0.659840i	$-0.770624\pi$
$397$	−14.0274	+	6.75525i	−0.704016	+	0.339036i	0.0473898	+	0.998876i	$0.484910\pi$
$398$	8.17477	+	9.49926i	0.409764	+	0.476155i
$399$	1.33273	+	2.30058i	0.0667199	+	0.115173i
$400$	−4.50527	−	0.679060i	−0.225264	−	0.0339530i
$401$	31.3118	+	12.2890i	1.56364	+	0.613682i	0.980118	−	0.198418i	$-0.0635802\pi$
$401$	31.3118	+	12.2890i	1.56364	+	0.613682i	0.583519	+	0.812100i	$0.301675\pi$
$402$	1.67758	−	1.14735i	0.0836701	−	0.0572248i
$403$	29.9914	−	15.8509i	1.49398	−	0.789590i
$404$	1.97300	−	17.5108i	0.0981603	−	0.871197i
$405$	−3.76577	−	4.66584i	−0.187122	−	0.231848i
$406$	1.49363	−	0.328143i	0.0741276	−	0.0162855i
$407$	8.81265	+	5.08798i	0.436827	+	0.252202i
$408$	1.64112	+	1.90138i	0.0812475	+	0.0941324i
$409$	35.9607	+	1.34555i	1.77814	+	0.0665334i	0.906142	−	0.422974i	$-0.139014\pi$
$409$	35.9607	+	1.34555i	1.77814	+	0.0665334i	0.871999	+	0.489507i	$0.162823\pi$
$410$	1.97491	−	0.609179i	0.0975339	−	0.0300852i
$411$	3.63130	−	5.34292i	0.179119	−	0.263547i
$412$	10.7327	−	4.21227i	0.528761	−	0.207523i
$413$	−0.268326	+	0.0612436i	−0.0132034	+	0.00301360i
$414$	22.3606	+	5.92144i	1.09896	+	0.291023i
$415$	−1.18834	−	2.46762i	−0.0583335	−	0.121131i
$416$	0.167377	+	4.47324i	0.00820632	+	0.219319i
$417$	1.23316	+	10.8026i	0.0603882	+	0.529003i
$418$	16.4798	+	4.41574i	0.806053	+	0.215981i
$419$	−1.97950	−	26.4146i	−0.0967048	−	1.29044i	−0.808687	−	0.588239i	$-0.799822\pi$
$419$	−1.97950	−	26.4146i	−0.0967048	−	1.29044i	0.711982	−	0.702197i	$-0.247798\pi$
$420$	−0.0362124	+	0.325676i	−0.00176698	+	0.0158913i
$421$	10.0124	+	4.36838i	0.487976	+	0.212902i	0.629451	−	0.777040i	$-0.283280\pi$
$421$	10.0124	+	4.36838i	0.487976	+	0.212902i	−0.141475	+	0.989942i	$0.545184\pi$
$422$	−9.13481	+	18.9686i	−0.444675	+	0.923378i
$423$	−6.36040	+	2.24651i	−0.309253	+	0.109229i
$424$	3.56185	−	1.24635i	0.172979	−	0.0605279i
$425$	6.60235	−	0.247042i	0.320261	−	0.0119833i
$426$	−18.9959	−	20.4127i	−0.920353	−	0.988999i
$427$	0.229946	+	1.21530i	0.0111279	+	0.0588123i
$428$	10.9679	−	10.1767i	0.530153	−	0.491910i
$429$	24.1928	−	3.68269i	1.16804	−	0.177802i
$430$	3.93440	−	0.593016i	0.189734	−	0.0285977i
$431$	6.60113	+	1.50666i	0.317965	+	0.0725734i	0.378525	−	0.925591i	$-0.376431\pi$
$431$	6.60113	+	1.50666i	0.317965	+	0.0725734i	−0.0605598	+	0.998165i	$0.519289\pi$
$432$	5.10976	+	0.943607i	0.245843	+	0.0453993i
$433$	−31.2630	−	3.52249i	−1.50240	−	0.169280i	−0.677907	−	0.735148i	$-0.737113\pi$
$433$	−31.2630	−	3.52249i	−1.50240	−	0.169280i	−0.824496	+	0.565867i	$0.808541\pi$
$434$	−1.07600	+	1.86368i	−0.0516495	+	0.0894596i
$435$	5.36064	+	3.14288i	0.257023	+	0.150689i
$436$	−4.50674	−	7.80591i	−0.215834	−	0.373835i
$437$	−16.6669	−	38.2010i	−0.797288	−	1.82740i
$438$	5.73377	−	21.5246i	0.273970	−	1.02849i
$439$	−4.74777	+	5.11688i	−0.226599	+	0.244215i	−0.836110	−	0.548562i	$-0.815175\pi$
$439$	−4.74777	+	5.11688i	−0.226599	+	0.244215i	0.609511	+	0.792778i	$0.291366\pi$
$440$	1.31104	+	1.64400i	0.0625016	+	0.0783745i
$441$	20.7045	+	1.49068i	0.985928	+	0.0709847i
$442$	−1.44444	−	6.32851i	−0.0687051	−	0.301017i
$443$	21.7406	−	18.7093i	1.03293	−	0.888907i	0.0390336	−	0.999238i	$-0.487572\pi$
$443$	21.7406	−	18.7093i	1.03293	−	0.888907i	0.993895	+	0.110331i	$0.0351911\pi$
$444$	−1.25057	−	5.44238i	−0.0593493	−	0.258284i
$445$	−2.54297	+	4.81153i	−0.120548	+	0.228088i
$446$	−3.76281	−	3.23816i	−0.178174	−	0.153331i
$447$	−0.719652	−	1.14161i	−0.0340384	−	0.0539962i
$448$	−0.159969	−	0.234631i	−0.00755780	−	0.0110853i
$449$	0.0570312	+	0.506166i	0.00269147	+	0.0238874i	0.994986	−	0.100013i	$-0.0318883\pi$
$449$	0.0570312	+	0.506166i	0.00269147	+	0.0238874i	−0.992295	+	0.123900i	$0.960460\pi$
$450$	10.3342	−	8.94605i	0.487158	−	0.421721i
$451$	8.82175	+	4.24833i	0.415400	+	0.200046i
$452$	2.51925	+	9.40198i	0.118496	+	0.442232i
$453$	14.2829	+	19.2935i	0.671070	+	0.906489i
$454$	−25.8796	−	13.6778i	−1.21459	−	0.641929i
$455$	0.477061	−	0.699720i	0.0223650	−	0.0328034i
$456$	−4.38693	−	8.27116i	−0.205437	−	0.387333i
$457$	−11.7220	+	38.0018i	−0.548332	+	1.77765i	0.0767037	+	0.997054i	$0.475560\pi$
$457$	−11.7220	+	38.0018i	−0.548332	+	1.77765i	−0.625036	+	0.780596i	$0.714916\pi$
$458$	6.08747	+	4.85460i	0.284449	+	0.226840i
$459$	−7.53496	+	0.0330713i	−0.351702	+	0.00154363i
$460$	1.14305	−	5.00802i	0.0532949	−	0.233500i
$461$	15.5636	+	29.4478i	0.724869	+	1.37152i	0.920461	+	0.390834i	$0.127813\pi$
$461$	15.5636	+	29.4478i	0.724869	+	1.37152i	−0.195592	+	0.980685i	$0.562663\pi$
$462$	−1.17522	+	1.01436i	−0.0546763	+	0.0471922i
$463$	11.2218	−	6.47893i	0.521523	−	0.301102i	−0.216034	−	0.976386i	$-0.569312\pi$
$463$	11.2218	−	6.47893i	0.521523	−	0.301102i	0.737558	+	0.675284i	$0.235979\pi$
$464$	−5.29926	+	0.958061i	−0.246012	+	0.0444769i
$465$	−8.35225	+	2.58971i	−0.387326	+	0.120095i
$466$	8.05788	+	5.94699i	0.373274	+	0.275489i
$467$	11.6727	+	7.33446i	0.540149	+	0.339398i	0.774317	−	0.632798i	$-0.218094\pi$
$467$	11.6727	+	7.33446i	0.540149	+	0.339398i	−0.234168	+	0.972196i	$0.575236\pi$
$468$	−10.5238	−	8.34216i	−0.486461	−	0.385616i
$469$	0.260522	−	0.207759i	0.0120298	−	0.00959342i
$470$	0.547273	+	1.39443i	0.0252438	+	0.0643202i
$471$	0.0400291	+	27.3609i	0.00184444	+	1.26072i
$472$	0.952297	−	0.180184i	0.0438330	−	0.00829365i
$473$	15.5748	+	10.6187i	0.716131	+	0.488250i
$474$	−14.6418	+	5.14746i	−0.672522	+	0.236431i
$475$	−24.1988	−	4.57866i	−1.11032	−	0.210083i
$476$	0.291184	+	0.291184i	0.0133464	+	0.0133464i
$477$	−4.10511	+	10.5503i	−0.187960	+	0.483066i
$478$	27.4246	−	3.09001i	1.25437	−	0.141334i
$479$	−5.09304	+	11.6734i	−0.232707	+	0.533370i	−0.993260	−	0.115905i	$-0.963023\pi$
$479$	−5.09304	+	11.6734i	−0.232707	+	0.533370i	0.760553	+	0.649276i	$0.224928\pi$
$480$	0.170313	−	1.14128i	0.00777368	−	0.0520920i
$481$	−3.73528	+	13.9403i	−0.170314	+	0.635621i
$482$	9.83395	−	11.4273i	0.447924	−	0.520497i
$483$	3.72736	+	0.699609i	0.169601	+	0.0318333i
$484$	0.0775655	−	1.03504i	0.00352571	−	0.0470473i
$485$	−3.48345	+	9.95513i	−0.158175	+	0.452039i
$486$	−12.1161	+	9.80814i	−0.549599	+	0.444906i
$487$	−16.3590	+	20.5135i	−0.741296	+	0.929556i	−0.999331	−	0.0365801i	$-0.988354\pi$
$487$	−16.3590	+	20.5135i	−0.741296	+	0.929556i	0.258035	+	0.966136i	$0.416925\pi$
$488$	−0.649158	−	4.30688i	−0.0293860	−	0.194963i
$489$	−1.05834	−	1.54743i	−0.0478598	−	0.0699772i
$490$	0.172365	−	4.60655i	0.00778665	−	0.208103i
$491$	−27.2342	+	11.8822i	−1.22906	+	0.536234i	−0.911224	−	0.411911i	$-0.864862\pi$
$491$	−27.2342	+	11.8822i	−1.22906	+	0.536234i	−0.317838	+	0.948145i	$0.602957\pi$
$492$	−1.59128	−	5.13214i	−0.0717405	−	0.231375i
$493$	7.29229	−	2.79373i	0.328428	−	0.125823i
$494$			24.1969i			1.08867i
$495$	−6.30451	−	0.217427i	−0.283367	−	0.00977262i
$496$	4.03181	−	6.41658i	0.181033	−	0.288113i
$497$	−3.35127	−	3.10953i	−0.150325	−	0.139481i
$498$	−6.41090	+	3.09889i	−0.287279	+	0.138865i
$499$	−4.16928	+	27.6613i	−0.186642	+	1.23829i	0.677681	+	0.735356i	$0.262985\pi$
$499$	−4.16928	+	27.6613i	−0.186642	+	1.23829i	−0.864324	+	0.502936i	$0.832253\pi$
$500$	−4.33028	−	4.66693i	−0.193656	−	0.208712i
$501$	−17.8471	−	11.1777i	−0.797351	−	0.499383i
$502$	−5.93962	−	0.445113i	−0.265098	−	0.0198664i
$503$	−8.45022	+	5.30963i	−0.376777	+	0.236745i	−0.707085	−	0.707129i	$-0.749990\pi$
$503$	−8.45022	+	5.30963i	−0.376777	+	0.236745i	0.330308	+	0.943873i	$0.392847\pi$
$504$	0.846842	+	0.0929077i	0.0377214	+	0.00413844i
$505$	8.30127	−	8.30127i	0.369402	−	0.369402i
$506$	20.1076	−	13.7091i	0.893892	−	0.609445i
$507$	4.89101	+	11.1657i	0.217217	+	0.495887i
$508$	8.93253	−	6.59250i	0.396317	−	0.292495i
$509$	8.94448	−	0.670296i	0.396457	−	0.0297104i	0.124990	−	0.992158i	$-0.460110\pi$
$509$	8.94448	−	0.670296i	0.396457	−	0.0297104i	0.271467	+	0.962448i	$0.412491\pi$
$510$	0.0650135	+	1.67205i	0.00287885	+	0.0740396i
$511$	0.678965	−	3.58842i	0.0300357	−	0.158742i
$512$	0.532032	+	0.846724i	0.0235127	+	0.0374203i
$513$	27.4106	+	6.12984i	1.21021	+	0.270639i
$514$	0.973331	+	0.340583i	0.0429318	+	0.0150225i
$515$	7.33998	+	2.26408i	0.323438	+	0.0997674i
$516$	−1.55671	−	10.2266i	−0.0685304	−	0.450199i
$517$	−2.59277	+	6.60628i	−0.114030	+	0.290544i
$518$	−0.269862	−	0.874872i	−0.0118571	−	0.0384397i
$519$	−17.2370	−	4.59162i	−0.756619	−	0.201550i
$520$	−1.77090	+	2.39949i	−0.0776592	+	0.105224i
$521$	0.187718			0.00822405			0.00411203	−	0.999992i	$-0.498691\pi$
$521$	0.187718			0.00822405			0.00411203	+	0.999992i	$0.498691\pi$
$522$	8.15059	−	13.9488i	0.356741	−	0.610521i
$523$	9.65513			0.422189			0.211095	−	0.977466i	$-0.432297\pi$
$523$	9.65513			0.422189			0.211095	+	0.977466i	$0.432297\pi$
$524$	−4.61697	+	6.25577i	−0.201693	+	0.273285i
$525$	1.58230	−	1.58693i	0.0690570	−	0.0692594i
$526$	−5.38011	−	17.4419i	−0.234584	−	0.760503i
$527$	−4.01480	+	10.2295i	−0.174887	+	0.445605i
$528$	4.26914	−	3.41476i	0.185791	−	0.148608i
$529$	−34.8317	−	10.7442i	−1.51442	−	0.467138i
$530$	2.37295	+	0.830332i	0.103074	+	0.0360673i
$531$	−1.44642	+	2.52228i	−0.0627691	+	0.109458i
$532$	−0.816677	−	1.29973i	−0.0354074	−	0.0563506i
$533$	−2.58168	+	13.6445i	−0.111825	+	0.591010i
$534$	12.5189	+	6.59301i	0.541745	+	0.285307i
$535$	9.93999	−	0.744900i	0.429743	−	0.0322048i
$536$	−0.944126	+	0.696797i	−0.0407800	+	0.0300970i
$537$	10.2963	−	13.9939i	0.444320	−	0.603879i
$538$	10.0132	−	6.82685i	0.431698	−	0.294327i
$539$	15.4428	−	15.4428i	0.665167	−	0.665167i
$540$	2.26955	+	2.61397i	0.0976658	+	0.112487i
$541$	6.53056	−	4.10342i	0.280771	−	0.176420i	−0.384283	−	0.923215i	$-0.625551\pi$
$541$	6.53056	−	4.10342i	0.280771	−	0.176420i	0.665054	+	0.746795i	$0.268409\pi$
$542$	−17.2538	−	1.29299i	−0.741112	−	0.0555387i
$543$	20.8916	−	11.0807i	0.896543	−	0.475516i
$544$	−0.986331	−	1.06301i	−0.0422886	−	0.0455762i
$545$	0.894985	−	5.93784i	0.0383370	−	0.254349i
$546$	−1.82098	−	1.23762i	−0.0779306	−	0.0529653i
$547$	−20.9083	−	19.4001i	−0.893975	−	0.829488i	0.0921065	−	0.995749i	$-0.470640\pi$
$547$	−20.9083	−	19.4001i	−0.893975	−	0.829488i	−0.986082	+	0.166261i	$0.946830\pi$
$548$	−1.98435	+	3.15807i	−0.0847671	+	0.134906i
$549$	11.0841	+	6.91944i	0.473057	+	0.295314i
$550$		−	14.3805i		−	0.613186i
$551$	−28.8186	+	4.10408i	−1.22771	+	0.174840i
$552$	−13.0244	−	2.95269i	−0.554355	−	0.125675i
$553$	−2.33228	+	1.01756i	−0.0991787	+	0.0432712i
$554$	0.425584	−	11.3740i	0.0180814	−	0.483234i
$555$	1.60926	−	3.35421i	0.0683094	−	0.142378i
$556$	−0.935592	−	6.20725i	−0.0396780	−	0.263246i
$557$	28.8459	−	36.1717i	1.22224	−	1.53264i	0.456163	−	0.889896i	$-0.349223\pi$
$557$	28.8459	−	36.1717i	1.22224	−	1.53264i	0.766079	−	0.642746i	$-0.222205\pi$
$558$	6.76461	+	21.7047i	0.286369	+	0.918831i
$559$	−8.82978	+	25.2341i	−0.373460	+	1.06729i
$560$	0.0141380	−	0.188659i	0.000597440	−	0.00797229i
$561$	−5.16224	+	6.01641i	−0.217950	+	0.254013i
$562$	−6.95035	+	8.07645i	−0.293183	+	0.340685i
$563$	0.0642276	−	0.239701i	0.00270687	−	0.0101022i	−0.964559	−	0.263867i	$-0.915002\pi$
$563$	0.0642276	−	0.239701i	0.00270687	−	0.0101022i	0.967266	+	0.253764i	$0.0816688\pi$
$564$	3.62321	−	1.42813i	0.152565	−	0.0601349i
$565$	−2.59318	+	5.94362i	−0.109096	+	0.250050i
$566$	−1.02477	+	0.115464i	−0.0430744	+	0.00485331i
$567$	−1.86331	+	1.74930i	−0.0782516	+	0.0734637i
$568$	11.3836	+	11.3836i	0.477646	+	0.477646i
$569$	−9.91503	−	1.87602i	−0.415660	−	0.0786470i	−0.0261246	−	0.999659i	$-0.508317\pi$
$569$	−9.91503	−	1.87602i	−0.415660	−	0.0786470i	−0.389535	+	0.921012i	$0.627364\pi$
$570$	1.15065	−	6.13040i	0.0481953	−	0.256774i
$571$	27.0495	+	18.4420i	1.13199	+	0.771775i	0.976384	−	0.216044i	$-0.0693156\pi$
$571$	27.0495	+	18.4420i	1.13199	+	0.771775i	0.155603	+	0.987820i	$0.450268\pi$
$572$	−13.8823	+	2.62668i	−0.580449	+	0.109827i
$573$	−5.99471	+	3.47275i	−0.250433	+	0.145076i
$574$	−0.321846	−	0.820050i	−0.0134336	−	0.0342282i
$575$	−27.4658	+	21.9032i	−1.14540	+	0.913428i
$576$	−2.96779	−	0.438445i	−0.123658	−	0.0182685i
$577$	−16.8781	−	10.6052i	−0.702643	−	0.441500i	0.132753	−	0.991149i	$-0.457618\pi$
$577$	−16.8781	−	10.6052i	−0.702643	−	0.441500i	−0.835395	+	0.549650i	$0.814761\pi$
$578$	−11.9862	−	8.84623i	−0.498561	−	0.367955i
$579$	10.2147	−	45.0572i	0.424508	−	1.87251i
$580$	−3.15816	−	1.70217i	−0.131136	−	0.0706787i
$581$	−1.01103	+	0.583720i	−0.0419447	+	0.0242168i
$582$	25.8950	+	9.01855i	1.07338	+	0.373831i
$583$	5.56543	+	10.5303i	0.230496	+	0.436120i
$584$	−2.86176	+	12.5382i	−0.118420	+	0.518833i
$585$	−2.01633	−	8.71648i	−0.0833650	−	0.360382i
$586$	−0.439032	−	0.350117i	−0.0181363	−	0.0144632i
$587$	3.61386	−	11.7158i	0.149160	−	0.483564i	−0.849899	−	0.526946i	$-0.823337\pi$
$587$	3.61386	−	11.7158i	0.149160	−	0.483564i	0.999059	+	0.0433817i	$0.0138132\pi$
$588$	−11.9769	−	0.430600i	−0.493921	−	0.0177576i
$589$	23.0755	−	33.8455i	0.950807	−	1.39458i
$590$	0.570864	+	0.301711i	0.0235021	+	0.0124212i
$591$	−11.8179	+	27.1953i	−0.486122	+	1.11867i
$592$	0.834444	+	3.11419i	0.0342955	+	0.127992i
$593$	19.5819	+	9.43012i	0.804130	+	0.387249i	0.790349	−	0.612656i	$-0.209899\pi$
$593$	19.5819	+	9.43012i	0.804130	+	0.387249i	0.0137809	+	0.999905i	$0.495613\pi$
$594$	−0.541296	+	16.3915i	−0.0222096	+	0.672553i
$595$	0.0307168	+	0.272619i	0.00125927	+	0.0111763i
$596$	0.438904	+	0.643754i	0.0179782	+	0.0263692i
$597$	21.6905	−	0.843380i	0.887733	−	0.0345173i
$598$	26.1613	+	22.5136i	1.06981	+	0.920650i
$599$	−17.4015	+	32.9252i	−0.711004	+	1.34529i	0.218267	+	0.975889i	$0.429960\pi$
$599$	−17.4015	+	32.9252i	−0.711004	+	1.34529i	−0.929272	+	0.369397i	$0.879564\pi$
$600$	−5.77702	+	5.37604i	−0.235846	+	0.219476i
$601$	12.9076	−	11.1079i	0.526512	−	0.453100i	−0.348425	−	0.937337i	$-0.613284\pi$
$601$	12.9076	−	11.1079i	0.526512	−	0.453100i	0.874937	+	0.484237i	$0.160903\pi$
$602$	−0.377393	−	1.65347i	−0.0153814	−	0.0673902i
$603$	0.252795	−	3.51115i	0.0102946	−	0.142985i
$604$	−8.64115	−	10.8357i	−0.351603	−	0.440897i
$605$	0.470334	−	0.506899i	0.0191218	−	0.0206084i
$606$	−21.6136	−	21.5504i	−0.877991	−	0.875426i
$607$	5.93506	+	13.6033i	0.240897	+	0.552141i	0.994446	−	0.105251i	$-0.0335645\pi$
$607$	5.93506	+	13.6033i	0.240897	+	0.552141i	−0.753549	+	0.657392i	$0.771660\pi$
$608$	2.70273	+	4.68127i	0.109610	+	0.189851i
$609$	1.16515	−	2.37870i	0.0472144	−	0.0963900i
$610$	1.45086	−	2.51296i	0.0587434	−	0.101747i
$611$	−10.0018	−	1.12693i	−0.404630	−	0.0455908i
$612$	4.34682	−	0.175384i	0.175710	−	0.00708950i
$613$	3.07140	+	0.701028i	0.124053	+	0.0283142i	0.284097	−	0.958796i	$-0.408306\pi$
$613$	3.07140	+	0.701028i	0.124053	+	0.0283142i	−0.160044	+	0.987110i	$0.551164\pi$
$614$	−0.785624	+	0.118414i	−0.0317052	+	0.00477879i
$615$	1.30293	−	3.33414i	0.0525391	−	0.134446i
$616$	0.657035	−	0.609640i	0.0264727	−	0.0245631i
$617$	−3.91109	−	20.6706i	−0.157454	−	0.832167i	−0.968846	−	0.247664i	$-0.920337\pi$
$617$	−3.91109	−	20.6706i	−0.157454	−	0.832167i	0.811392	−	0.584503i	$-0.198710\pi$
$618$	5.85834	−	19.0914i	0.235657	−	0.767968i
$619$	−35.3974	+	1.32448i	−1.42274	+	0.0532352i	−0.737631	−	0.675204i	$-0.764056\pi$
$619$	−35.3974	+	1.32448i	−1.42274	+	0.0532352i	−0.685110	+	0.728439i	$0.740246\pi$
$620$	4.76534	−	1.66746i	0.191381	−	0.0669670i
$621$	32.1312	−	23.9325i	1.28938	−	0.960378i
$622$	−2.29582	+	4.76732i	−0.0920541	+	0.191152i
$623$	2.12619	+	0.927647i	0.0851840	+	0.0371654i
$624$	6.24502	+	4.59493i	0.250001	+	0.183945i
$625$	1.38545	+	18.4875i	0.0554180	+	0.739502i
$626$	1.97932	+	0.530357i	0.0791094	+	0.0211973i
$627$	23.7508	−	17.5826i	0.948514	−	0.702181i
$628$	−0.590662	−	15.7858i	−0.0235700	−	0.629921i
$629$	−2.02851	−	4.21225i	−0.0808821	−	0.167953i
$630$	0.402500	+	0.400152i	0.0160360	+	0.0159424i
$631$	20.1443	−	4.59781i	0.801933	−	0.183036i	0.198136	−	0.980174i	$-0.436511\pi$
$631$	20.1443	−	4.59781i	0.801933	−	0.183036i	0.603796	+	0.797139i	$0.293654\pi$
$632$	8.34124	−	3.27369i	0.331797	−	0.130221i
$633$	15.8700	+	32.8314i	0.630776	+	1.30493i
$634$	−8.72460	+	2.69118i	−0.346498	+	0.106881i
$635$	7.39103	+	0.276553i	0.293304	+	0.0109747i
$636$	2.14971	−	6.17246i	0.0852414	−	0.244754i
$637$	26.8239	+	15.4868i	1.06280	+	0.613609i
$638$	−5.48299	−	16.0884i	−0.217074	−	0.636946i
$639$	−48.1508	+	3.75012i	−1.90482	+	0.148352i
$640$	−0.0745923	+	0.662025i	−0.00294852	+	0.0261688i
$641$	7.76830	−	4.10566i	0.306829	−	0.162164i	−0.306765	−	0.951785i	$-0.599247\pi$
$641$	7.76830	−	4.10566i	0.306829	−	0.162164i	0.613595	+	0.789621i	$0.289723\pi$
$642$	−1.97443	−	25.8396i	−0.0779244	−	1.01981i
$643$	−33.4114	−	13.1130i	−1.31762	−	0.517126i	−0.400701	−	0.916209i	$-0.631233\pi$
$643$	−33.4114	−	13.1130i	−1.31762	−	0.517126i	−0.916915	+	0.399083i	$0.869328\pi$
$644$	−2.16512	−	0.326339i	−0.0853176	−	0.0128596i
$645$	3.43704	−	5.97330i	0.135333	−	0.235198i
$646$	−5.11300	−	5.94141i	−0.201168	−	0.233762i
$647$	9.19166	−	4.42647i	0.361362	−	0.174023i	−0.244389	−	0.969677i	$-0.578587\pi$
$647$	9.19166	−	4.42647i	0.361362	−	0.174023i	0.605750	+	0.795655i	$0.292873\pi$
$648$	6.78727	−	5.91041i	0.266629	−	0.232183i
$649$	1.01034	+	2.88737i	0.0396592	+	0.113339i
$650$	19.7001	−	5.27863i	0.772702	−	0.207045i
$651$	1.36683	+	3.46771i	0.0535704	+	0.135910i
$652$	0.642738	+	0.870879i	0.0251715	+	0.0341062i
$653$	−1.73512	−	2.35100i	−0.0679005	−	0.0920019i	0.769331	−	0.638850i	$-0.220589\pi$
$653$	−1.73512	−	2.35100i	−0.0679005	−	0.0920019i	−0.837232	+	0.546848i	$0.815828\pi$
$654$	−15.4408	−	2.30423i	−0.603784	−	0.0901026i
$655$	−5.00333	+	1.34064i	−0.195496	+	0.0523831i
$656$	1.02459	+	2.92812i	0.0400036	+	0.114324i
$657$	−23.0014	−	30.9757i	−0.897370	−	1.20848i
$658$	0.575282	−	0.277041i	0.0224268	−	0.0108002i
$659$	−26.9907	−	31.3638i	−1.05141	−	1.22176i	−0.974422	−	0.224727i	$-0.927851\pi$
$659$	−26.9907	−	31.3638i	−1.05141	−	1.22176i	−0.0769872	−	0.997032i	$-0.524530\pi$
$660$	3.64207	−	0.00532837i	0.141767	−	0.000207406i
$661$	−35.7681	−	5.39118i	−1.39122	−	0.209693i	−0.589681	−	0.807636i	$-0.700747\pi$
$661$	−35.7681	−	5.39118i	−1.39122	−	0.209693i	−0.801538	+	0.597943i	$0.795985\pi$
$662$	11.3323	+	4.44762i	0.440444	+	0.172862i
$663$	−10.1369	−	4.86342i	−0.393684	−	0.188879i
$664$	3.63466	−	1.92098i	0.141052	−	0.0745483i
$665$	0.114500	−	1.01622i	0.00444013	−	0.0394072i
$666$	−8.72654	−	4.17107i	−0.338146	−	0.161626i
$667$	−22.3765	+	34.9768i	−0.866423	+	1.35431i
$668$	10.5293	+	6.07907i	0.407389	+	0.235206i
$669$	−8.44620	+	1.61091i	−0.326549	+	0.0622814i
$670$	−0.781197	−	0.0292303i	−0.0301803	−	0.00112927i
$671$	13.1365	−	4.05207i	0.507128	−	0.156428i
$672$	−0.490536	−	0.0360390i	−0.0189228	−	0.00139023i
$673$	6.12773	−	2.40496i	0.236207	−	0.0927043i	−0.244285	−	0.969703i	$-0.578553\pi$
$673$	6.12773	−	2.40496i	0.236207	−	0.0927043i	0.480492	+	0.876999i	$0.340458\pi$
$674$	13.1142	−	2.99322i	0.505138	−	0.115295i
$675$	−0.989044	−	23.6538i	−0.0380683	−	0.910436i
$676$	−3.05362	−	6.34091i	−0.117447	−	0.243881i
$677$	1.05480	+	28.1902i	0.0405393	+	1.08344i	0.859998	+	0.510298i	$0.170465\pi$
$677$	1.05480	+	28.1902i	0.0405393	+	1.08344i	−0.819458	+	0.573139i	$0.805726\pi$
$678$	15.4623	+	6.71923i	0.593827	+	0.258051i
$679$	4.34249	+	1.16357i	0.166649	+	0.0446536i
$680$	−0.0721959	−	0.963387i	−0.00276859	−	0.0369442i
$681$	−46.4401	+	20.3425i	−1.77959	+	0.779528i
$682$	21.9229	+	9.56487i	0.839472	+	0.366258i
$683$	4.52660	−	9.39958i	0.173205	−	0.359665i	−0.796237	−	0.604985i	$-0.793179\pi$
$683$	4.52660	−	9.39958i	0.173205	−	0.359665i	0.969442	+	0.245321i	$0.0788932\pi$
$684$	−15.9424	−	2.96818i	−0.609575	−	0.113491i
$685$	−2.34537	+	0.820681i	−0.0896120	+	0.0313566i
$686$	−3.94998	+	0.147798i	−0.150811	+	0.00564295i
$687$	13.1435	−	3.02016i	0.501456	−	0.115226i
$688$	1.11032	+	5.86820i	0.0423307	+	0.223723i
$689$	−12.3828	+	11.4895i	−0.471746	+	0.437716i
$690$	−5.55750	−	6.94800i	−0.211570	−	0.264506i
$691$	−34.4206	+	5.18808i	−1.30942	+	0.197364i	−0.766405	−	0.642357i	$-0.777956\pi$
$691$	−34.4206	+	5.18808i	−1.30942	+	0.197364i	−0.543018	+	0.839721i	$0.682718\pi$
$692$	10.0406	+	2.29170i	0.381686	+	0.0871174i
$693$	0.108403	+	2.68672i	0.00411789	+	0.102060i
$694$	7.51848	+	0.847130i	0.285398	+	0.0321566i
$695$	2.09103	−	3.62177i	0.0793174	−	0.137382i
$696$	−4.41336	+	8.21719i	−0.167288	+	0.311472i
$697$	−2.24928	−	3.89587i	−0.0851975	−	0.147566i
$698$	11.8512	+	27.1632i	0.448575	+	1.02814i
$699$	16.7485	−	4.51402i	0.633486	−	0.170736i
$700$	−0.880030	+	0.948447i	−0.0332620	+	0.0358479i
$701$	−12.6421	−	15.8527i	−0.477487	−	0.598750i	0.483500	−	0.875345i	$-0.339365\pi$
$701$	−12.6421	−	15.8527i	−0.477487	−	0.598750i	−0.960987	+	0.276595i	$0.910794\pi$
$702$	−22.6538	+	5.27529i	−0.855012	+	0.199103i
$703$	3.87798	+	16.9905i	0.146261	+	0.640810i
$704$	−2.39237	+	2.05880i	−0.0901657	+	0.0775938i
$705$	2.48042	+	0.761136i	0.0934180	+	0.0286660i
$706$	5.19958	−	9.83809i	0.195689	−	0.370261i
$707$	−3.79296	−	3.26411i	−0.142649	−	0.122759i
$708$	0.782228	−	1.48530i	0.0293979	−	0.0558211i
$709$	−11.2232	−	16.4615i	−0.421498	−	0.618223i	0.555489	−	0.831524i	$-0.312531\pi$
$709$	−11.2232	−	16.4615i	−0.421498	−	0.618223i	−0.976987	+	0.213300i	$0.931579\pi$
$710$	1.20085	+	10.6579i	0.0450672	+	0.399982i
$711$	−8.80427	+	25.3993i	−0.330186	+	0.952548i
$712$	−7.35987	−	3.54433i	−0.275823	−	0.132829i
$713$	−15.1230	−	56.4398i	−0.566361	−	2.11369i
$714$	0.708650	−	0.0808958i	0.0265206	−	0.00302745i
$715$	−8.32191	−	4.39826i	−0.311222	−	0.164485i
$716$	−5.65047	+	8.28772i	−0.211168	+	0.309727i
$717$	25.3726	−	40.5117i	0.947558	−	1.51294i
$718$	6.79456	−	22.0274i	0.253571	−	0.822056i
$719$	25.3168	+	20.1895i	0.944158	+	0.752941i	0.969080	−	0.246748i	$-0.0793621\pi$
$719$	25.3168	+	20.1895i	0.944158	+	0.752941i	−0.0249212	+	0.999689i	$0.507933\pi$
$720$	−1.36370	−	1.46112i	−0.0508222	−	0.0544529i
$721$	0.728564	−	3.19205i	0.0271331	−	0.118878i
$722$	4.77505	+	9.03484i	0.177709	+	0.336242i
$723$	−4.89216	−	25.6502i	−0.181941	−	0.953941i
$724$	−11.8241	+	6.82666i	−0.439440	+	0.253711i
$725$	9.62824	+	22.5676i	0.357584	+	0.838139i
$726$	−1.31965	−	1.22086i	−0.0489766	−	0.0453105i
$727$	14.3941	+	10.6234i	0.533849	+	0.393998i	0.827115	−	0.562032i	$-0.189980\pi$
$727$	14.3941	+	10.6234i	0.533849	+	0.393998i	−0.293266	+	0.956031i	$0.594742\pi$
$728$	1.07633	+	0.676306i	0.0398916	+	0.0250656i
$729$	0.237004	+	26.9990i	0.00877791	+	0.999961i
$730$	−6.69867	+	5.34201i	−0.247929	+	0.197717i
$731$	−3.16406	−	8.06190i	−0.117027	−	0.298180i
$732$	−6.53880	−	3.76243i	−0.241681	−	0.139064i
$733$	−27.7257	+	5.24598i	−1.02407	+	0.193765i	−0.670708	−	0.741722i	$-0.734009\pi$
$733$	−27.7257	+	5.24598i	−1.02407	+	0.193765i	−0.353363	+	0.935486i	$0.614962\pi$
$734$	20.9519	+	14.2848i	0.773349	+	0.527260i
$735$	−6.05953	−	5.19924i	−0.223509	−	0.191777i
$736$	7.57604	+	1.43346i	0.279256	+	0.0528382i
$737$	−2.61885	−	2.61885i	−0.0964666	−	0.0964666i
$738$	−8.67319	−	3.37472i	−0.319265	−	0.124225i
$739$	31.5916	−	3.55952i	1.16212	−	0.130939i	0.490230	−	0.871593i	$-0.336913\pi$
$739$	31.5916	−	3.55952i	1.16212	−	0.130939i	0.671886	+	0.740654i	$0.265484\pi$
$740$	−0.858929	+	1.96869i	−0.0315749	+	0.0723704i
$741$	32.8049	+	26.0826i	1.20512	+	0.958169i
$742$	0.277353	−	1.03510i	0.0101820	−	0.0379996i
$743$	−11.6622	+	13.5517i	−0.427843	+	0.497163i	−0.929972	−	0.367630i	$-0.880169\pi$
$743$	−11.6622	+	13.5517i	−0.427843	+	0.497163i	0.502129	+	0.864793i	$0.332550\pi$
$744$	−4.35326	−	12.3828i	−0.159598	−	0.453974i
$745$	−0.0387903	+	0.517621i	−0.00142117	+	0.0189642i
$746$	−9.58948	+	27.4052i	−0.351096	+	1.00337i
$747$	−2.70920	+	12.0320i	−0.0991246	+	0.440227i
$748$	2.85369	−	3.57842i	0.104341	−	0.130840i
$749$	−0.633253	−	4.20136i	−0.0231386	−	0.153514i
$750$	−10.9950	+	0.840136i	−0.401479	+	0.0306774i
$751$	0.536934	−	14.3499i	0.0195930	−	0.523634i	−0.954597	−	0.297902i	$-0.903713\pi$
$751$	0.536934	−	14.3499i	0.0195930	−	0.523634i	0.974189	−	0.225732i	$-0.0724773\pi$
$752$	−2.06088	+	0.899155i	−0.0751527	+	0.0327888i
$753$	−7.00597	+	7.57284i	−0.255312	+	0.275969i
$754$	20.0272	−	13.4168i	0.729347	−	0.488611i
$755$		−	9.23327i		−	0.336033i
$756$	1.03880	−	1.04796i	0.0377808	−	0.0381139i
$757$	−25.1819	+	40.0768i	−0.915253	+	1.45662i	−0.0257596	+	0.999668i	$0.508200\pi$
$757$	−25.1819	+	40.0768i	−0.915253	+	1.45662i	−0.889493	+	0.456948i	$0.848942\pi$
$758$	2.00579	+	1.86110i	0.0728534	+	0.0675981i
$759$	3.08850	−	42.0384i	0.112106	−	1.52590i
$760$	−0.536730	+	3.56097i	−0.0194693	+	0.129170i
$761$	24.5975	+	26.5098i	0.891659	+	0.960979i	0.999449	−	0.0331943i	$-0.0105680\pi$
$761$	24.5975	+	26.5098i	0.891659	+	0.960979i	−0.107790	+	0.994174i	$0.534378\pi$
$762$	0.690881	−	19.2166i	0.0250280	−	0.696142i
$763$	−2.55244	−	0.191279i	−0.0924047	−	0.00692477i
$764$	3.38678	−	2.12805i	0.122529	−	0.0769902i
$765$	2.33696	+	1.71422i	0.0844931	+	0.0619777i
$766$	−7.89962	+	7.89962i	−0.285425	+	0.285425i
$767$	−3.58461	+	2.44395i	−0.129433	+	0.0882457i
$768$	1.72144	+	0.191410i	0.0621172	+	0.00690691i
$769$	−26.4283	+	19.5050i	−0.953030	+	0.703368i	−0.954992	−	0.296630i	$-0.904137\pi$
$769$	−26.4283	+	19.5050i	−0.953030	+	0.703368i	0.00196259	+	0.999998i	$0.499375\pi$
$770$	0.595458	−	0.0446234i	0.0214588	−	0.00160812i
$771$	1.51093	−	0.952467i	0.0544149	−	0.0343023i
$772$	−4.95899	+	26.2089i	−0.178478	+	0.943278i
$773$	15.7574	+	25.0777i	0.566753	+	0.901982i	1.00000		0.000707038i	$0.000225057\pi$
$773$	15.7574	+	25.0777i	0.566753	+	0.901982i	−0.433247	+	0.901275i	$0.642632\pi$
$774$	−15.5427	−	8.91304i	−0.558670	−	0.320373i
$775$	−32.5896	−	11.4036i	−1.17065	−	0.409629i
$776$	−15.1279	−	4.66634i	−0.543060	−	0.167512i
$777$	−1.47700	−	0.577188i	−0.0529871	−	0.0207065i
$778$	3.74944	−	9.55341i	0.134424	−	0.342506i
$779$	4.94271	+	16.0239i	0.177091	+	0.574114i
$780$	1.34419	+	4.98739i	0.0481297	+	0.178577i
$781$	−30.1735	+	40.8836i	−1.07969	+	1.46293i
$782$	−11.1811			−0.399834
$783$	−10.1252	−	26.0860i	−0.361847	−	0.932238i
$784$	6.91936			0.247120
$785$	6.24940	−	8.46763i	0.223051	−	0.302223i
$786$	3.50448	+	13.0028i	0.125001	+	0.463793i
$787$	−5.53779	−	17.9531i	−0.197401	−	0.639958i	−0.999107	−	0.0422402i	$-0.986551\pi$
$787$	−5.53779	−	17.9531i	−0.197401	−	0.639958i	0.801707	−	0.597718i	$-0.203926\pi$
$788$	6.25451	−	15.9362i	0.222808	−	0.567705i
$789$	−29.4463	−	11.5071i	−1.04831	−	0.409664i
$790$	5.70449	+	1.75960i	0.202957	+	0.0626039i
$791$	2.60900	+	0.912927i	0.0927652	+	0.0324600i
$792$	−0.0277058	−	9.46878i	−0.000984483	−	0.336458i
$793$	10.3730	+	16.5085i	0.368356	+	0.586235i
$794$	2.89451	−	15.2978i	0.102722	−	0.542900i
$795$	3.68361	−	2.32209i	0.130644	−	0.0823560i
$796$	−12.4974	+	0.936553i	−0.442960	+	0.0331952i
$797$	43.9507	−	32.4371i	1.55681	−	1.14898i	0.628127	−	0.778111i	$-0.283822\pi$
$797$	43.9507	−	32.4371i	1.55681	−	1.14898i	0.928685	−	0.370869i	$-0.120940\pi$
$798$	−2.64244	−	0.293817i	−0.0935413	−	0.0104010i
$799$	2.69402	−	1.83675i	0.0953075	−	0.0649796i
$800$	3.22169	−	3.22169i	0.113904	−	0.113904i
$801$	22.4330	−	9.86565i	0.792631	−	0.348586i
$802$	−28.4813	+	17.8960i	−1.00571	+	0.631928i
$803$	−40.4781	−	3.03341i	−1.42844	−	0.107047i
$804$	−0.0730229	+	2.03110i	−0.00257532	+	0.0716314i
$805$	−0.992184	−	1.06932i	−0.0349699	−	0.0376886i
$806$	−5.05588	+	33.5436i	−0.178086	+	1.18152i
$807$	1.53801	−	20.9342i	0.0541405	−	0.736920i
$808$	12.9176	+	11.9858i	0.454439	+	0.421657i
$809$	24.0728	−	38.3116i	0.846355	−	1.34697i	−0.0900113	−	0.995941i	$-0.528690\pi$
$809$	24.0728	−	38.3116i	0.846355	−	1.34697i	0.936366	−	0.351025i	$-0.114167\pi$
$810$	5.99032	−	0.259254i	0.210478	−	0.00910927i
$811$			19.6471i			0.689902i	0.938621	+	0.344951i	$0.112104\pi$
$811$			19.6471i			0.689902i	−0.938621	+	0.344951i	$0.887896\pi$
$812$	−0.622924	+	1.39663i	−0.0218603	+	0.0490120i
$813$	−20.3514	+	21.9980i	−0.713754	+	0.771504i
$814$	−9.32691	+	4.06929i	−0.326908	+	0.142628i
$815$	−0.0269626	+	0.720590i	−0.000944458	+	0.0252412i
$816$	−2.50438	+	0.191362i	−0.0876707	+	0.00669901i
$817$	4.81156	+	31.9226i	0.168335	+	1.11683i
$818$	−22.4368	+	28.1349i	−0.784485	+	0.983713i
$819$	−3.64080	+	1.13471i	−0.127220	+	0.0396501i
$820$	−0.682598	+	1.95075i	−0.0238373	+	0.0681232i
$821$	4.01163	−	53.5314i	0.140007	−	1.86826i	−0.279019	−	0.960286i	$-0.590009\pi$
$821$	4.01163	−	53.5314i	0.140007	−	1.86826i	0.419026	−	0.907974i	$-0.362372\pi$
$822$	2.14256	+	6.09447i	0.0747304	+	0.212569i
$823$	−34.8646	+	40.5134i	−1.21530	+	1.41221i	−0.332086	+	0.943249i	$0.607752\pi$
$823$	−34.8646	+	40.5134i	−1.21530	+	1.41221i	−0.883219	+	0.468961i	$0.844629\pi$
$824$	−2.98410	+	11.1368i	−0.103956	+	0.387970i
$825$	−19.4963	−	15.5012i	−0.678776	−	0.539683i
$826$	0.110061	−	0.252262i	0.00382950	−	0.00877732i
$827$	−50.9143	+	5.73667i	−1.77047	+	0.199484i	−0.936101	−	0.351730i	$-0.885593\pi$
$827$	−50.9143	+	5.73667i	−1.77047	+	0.199484i	−0.834364	+	0.551214i	$0.814165\pi$
$828$	−18.0426	+	14.4750i	−0.627022	+	0.503042i
$829$	3.28068	+	3.28068i	0.113943	+	0.113943i	0.761779	−	0.647837i	$-0.224326\pi$
$829$	3.28068	+	3.28068i	0.113943	+	0.113943i	−0.647837	+	0.761779i	$0.724326\pi$
$830$	2.69110	+	0.509184i	0.0934096	+	0.0176741i
$831$	−14.9615	−	12.8374i	−0.519010	−	0.445324i
$832$	−3.69855	−	2.52163i	−0.128224	−	0.0874217i
$833$	−9.85896	+	1.86542i	−0.341593	+	0.0646328i
$834$	−9.42399	−	5.42257i	−0.326326	−	0.187768i
$835$	2.95923	+	7.54001i	0.102409	+	0.260933i
$836$	−13.3389	+	10.6374i	−0.461336	+	0.367904i
$837$	36.7179	+	14.2251i	1.26916	+	0.491690i
$838$	22.4286	+	14.0928i	0.774782	+	0.486828i
$839$	−25.6676	−	18.9435i	−0.886144	−	0.654004i	0.0526016	−	0.998616i	$-0.483249\pi$
$839$	−25.6676	−	18.9435i	−0.886144	−	0.654004i	−0.938745	+	0.344612i	$0.888011\pi$
$840$	−0.240534	−	0.222529i	−0.00829922	−	0.00767799i
$841$	19.3763	+	21.5768i	0.668149	+	0.744027i
$842$	−9.46038	+	5.46195i	−0.326026	+	0.188231i
$843$	3.45764	+	18.1288i	0.119087	+	0.624390i
$844$	−9.83768	−	18.6138i	−0.338627	−	0.640713i
$845$	1.04334	−	4.57118i	0.0358920	−	0.157253i
$846$	1.96940	−	6.45159i	0.0677093	−	0.221810i
$847$	−0.230444	−	0.183773i	−0.00791816	−	0.00631452i
$848$	−1.11229	+	3.60596i	−0.0381963	+	0.123829i
$849$	−0.948095	+	1.51380i	−0.0325385	+	0.0519534i
$850$	−3.72184	+	5.45893i	−0.127658	+	0.187240i
$851$	21.9781	+	11.6158i	0.753400	+	0.398183i
$852$	27.7042	−	3.16256i	0.949129	−	0.108348i
$853$	3.82009	+	14.2568i	0.130798	+	0.488143i	0.999980	−	0.00634876i	$-0.00202089\pi$
$853$	3.82009	+	14.2568i	0.130798	+	0.488143i	−0.869182	+	0.494492i	$0.835354\pi$
$854$	−1.11437	−	0.536653i	−0.0381330	−	0.0183639i
$855$	−7.07097	−	8.16816i	−0.241822	−	0.279345i
$856$	1.67521	+	14.8679i	0.0572574	+	0.508174i
$857$	−1.81965	−	2.66894i	−0.0621580	−	0.0911691i	0.793901	−	0.608047i	$-0.208047\pi$
$857$	−1.81965	−	2.66894i	−0.0621580	−	0.0911691i	−0.856059	+	0.516878i	$0.827094\pi$
$858$	−11.4031	+	21.6524i	−0.389296	+	0.739199i
$859$	30.6604	+	26.3854i	1.04612	+	0.900258i	0.995143	−	0.0984422i	$-0.0313860\pi$
$859$	30.6604	+	26.3854i	1.04612	+	0.900258i	0.0509756	+	0.998700i	$0.483767\pi$
$860$	−1.85919	+	3.51775i	−0.0633978	+	0.119954i
$861$	−1.45871	−	0.447617i	−0.0497128	−	0.0152547i
$862$	−5.13214	+	4.41656i	−0.174801	+	0.150429i
$863$	0.372975	+	1.63411i	0.0126962	+	0.0556257i	0.980879	−	0.194618i	$-0.0623466\pi$
$863$	0.372975	+	1.63411i	0.0126962	+	0.0556257i	−0.968183	+	0.250243i	$0.919489\pi$
$864$	−3.79350	+	3.55097i	−0.129058	+	0.120806i
$865$	4.27789	+	5.36431i	0.145453	+	0.182392i
$866$	21.3988	−	23.0624i	0.727160	−	0.783692i
$867$	−24.9136	+	6.71467i	−0.846111	+	0.228042i
$868$	−0.860566	−	1.97244i	−0.0292095	−	0.0669489i
$869$	14.1411	+	24.4932i	0.479705	+	0.830874i
$870$	−5.71201	+	2.44686i	−0.193655	+	0.0829562i
$871$	2.62632	−	4.54891i	0.0889893	−	0.154134i
$872$	8.95681	+	1.00919i	0.303316	+	0.0341755i
$873$	40.1400	−	25.3858i	1.35853	−	0.859178i
$874$	40.6336	+	9.27436i	1.37445	+	0.313710i
$875$	−1.78772	+	0.269455i	−0.0604358	+	0.00910923i
$876$	13.9138	+	17.3951i	0.470105	+	0.587727i
$877$	2.24541	−	2.08344i	0.0758221	−	0.0703526i	−0.641351	−	0.767247i	$-0.721626\pi$
$877$	2.24541	−	2.08344i	0.0758221	−	0.0703526i	0.717174	+	0.696895i	$0.245435\pi$
$878$	−1.29771	−	6.85855i	−0.0437955	−	0.231465i
$879$	−0.947918	+	0.217816i	−0.0319725	+	0.00734674i
$880$	−2.10128	+	0.0786244i	−0.0708342	+	0.00265043i
$881$	31.4794	−	11.0151i	1.06057	−	0.371109i	0.257055	−	0.966397i	$-0.417248\pi$
$881$	31.4794	−	11.0151i	1.06057	−	0.371109i	0.803512	+	0.595288i	$0.202962\pi$
$882$	−13.4941	+	15.7736i	−0.454371	+	0.531124i
$883$	12.0584	−	25.0396i	0.405799	−	0.842650i	−0.593486	−	0.804844i	$-0.702249\pi$
$883$	12.0584	−	25.0396i	0.405799	−	0.842650i	0.999285	−	0.0378060i	$-0.0120369\pi$
$884$	5.94965	+	2.59580i	0.200108	+	0.0873063i
$885$	1.02440	−	0.448725i	0.0344348	−	0.0150837i
$886$	2.14346	+	28.6024i	0.0720108	+	0.960918i
$887$	42.9381	+	11.5052i	1.44172	+	0.386307i	0.893135	−	0.449788i	$-0.148501\pi$
$887$	42.9381	+	11.5052i	1.44172	+	0.386307i	0.548584	+	0.836096i	$0.315167\pi$
$888$	5.12154	+	2.22559i	0.171868	+	0.0746859i
$889$	−0.117881	−	3.15044i	−0.00395361	−	0.105662i
$890$	−2.36128	−	4.90325i	−0.0791503	−	0.164357i
$891$	21.6394	+	18.4029i	0.724946	+	0.616519i
$892$	4.83985	−	1.10467i	0.162050	−	0.0369869i
$893$	−11.3140	+	4.44041i	−0.378608	+	0.148593i
$894$	1.34588	+	0.0988799i	0.0450130	+	0.00330704i
$895$	−6.38568	+	1.96972i	−0.213450	+	0.0658405i
$896$	0.283776	+	0.0106181i	0.00948029	+	0.000354727i
$897$	58.7230	−	11.2000i	1.96070	−	0.373957i
$898$	−0.441126	−	0.254684i	−0.0147206	−	0.00849893i
$899$	−40.8081	−	0.332184i	−1.36103	−	0.0110790i
$900$	1.06132	+	13.6272i	0.0353775	+	0.454240i
$901$	0.612690	−	5.43777i	0.0204117	−	0.181159i
$902$	−8.65673	+	4.57521i	−0.288237	+	0.152338i
$903$	−2.64849	−	1.27068i	−0.0881362	−	0.0422854i
$904$	−9.06080	−	3.55610i	−0.301358	−	0.118274i
$905$	−8.99443	−	1.35569i	−0.298985	−	0.0450647i
$906$	−24.0050	+	0.0351195i	−0.797514	+	0.00116677i
$907$	−27.6482	−	32.1278i	−0.918045	−	1.06679i	−0.997550	−	0.0699529i	$-0.977715\pi$
$907$	−27.6482	−	32.1278i	−0.918045	−	1.06679i	0.0795055	−	0.996834i	$-0.474666\pi$
$908$	26.3729	−	12.7005i	0.875216	−	0.421482i
$909$	−52.5150	+	6.07268i	−1.74181	+	0.201418i
$910$	0.279705	+	0.799350i	0.00927212	+	0.0264982i
$911$	−0.0408704	+	0.0109512i	−0.00135410	+	0.000362829i	−0.259496	−	0.965744i	$-0.583556\pi$
$911$	−0.0408704	+	0.0109512i	−0.00135410	+	0.000362829i	0.258142	+	0.966107i	$0.416890\pi$
$912$	9.26000	+	1.38187i	0.306629	+	0.0457582i
$913$	7.70521	+	10.4402i	0.255005	+	0.345520i
$914$	−23.6154	−	31.9977i	−0.781128	−	1.05839i
$915$	−1.84301	−	4.67580i	−0.0609282	−	0.154577i
$916$	−7.52086	+	2.01521i	−0.248496	+	0.0665844i
$917$	0.729227	+	2.08401i	0.0240812	+	0.0688201i
$918$	4.44780	−	6.08225i	0.146799	−	0.200744i
$919$	−7.00316	+	3.37254i	−0.231013	+	0.111250i	−0.545810	−	0.837909i	$-0.683778\pi$
$919$	−7.00316	+	3.37254i	−0.231013	+	0.111250i	0.314797	+	0.949159i	$0.398064\pi$
$920$	3.35068	+	3.89356i	0.110469	+	0.128367i
$921$	−0.686311	+	1.19275i	−0.0226147	+	0.0393025i
$922$	−32.9356	−	4.96424i	−1.08468	−	0.163489i
$923$	−67.0830	−	26.3281i	−2.20806	−	0.866601i
$924$	−0.118279	−	1.54793i	−0.00389108	−	0.0509231i
$925$	12.9870	−	6.86383i	0.427010	−	0.225681i
$926$	−1.45082	+	12.8764i	−0.0476769	+	0.423144i
$927$	−19.5682	−	28.5217i	−0.642706	−	0.936775i
$928$	2.37595	−	4.83269i	0.0779944	−	0.158641i
$929$	2.41841	+	1.39627i	0.0793455	+	0.0458101i	0.539148	−	0.842211i	$-0.318746\pi$
$929$	2.41841	+	1.39627i	0.0793455	+	0.0458101i	−0.459802	+	0.888021i	$0.652080\pi$
$930$	2.87605	−	8.25802i	0.0943095	−	0.270791i
$931$	37.3762	+	1.39852i	1.22496	+	0.0458346i
$932$	−9.56986	+	2.95191i	−0.313471	+	0.0966931i
$933$	3.98856	+	8.25142i	0.130580	+	0.270139i
$934$	−12.8328	+	5.03650i	−0.419902	+	0.164799i
$935$	2.97279	−	0.678519i	0.0972205	−	0.0221900i
$936$	12.9613	−	3.51365i	0.423653	−	0.114847i
$937$	−12.4779	−	25.9107i	−0.407636	−	0.846464i	−0.999192	−	0.0402003i	$-0.987200\pi$
$937$	−12.4779	−	25.9107i	−0.407636	−	0.846464i	0.591556	−	0.806264i	$-0.298514\pi$
$938$	0.0124595	+	0.332987i	0.000406816	+	0.0108724i
$939$	2.85260	−	2.11177i	0.0930912	−	0.0689150i
$940$	−1.44694	−	0.387705i	−0.0471938	−	0.0126455i
$941$	1.00689	+	13.4361i	0.0328238	+	0.438003i	0.989270	+	0.146096i	$0.0466708\pi$
$941$	1.00689	+	13.4361i	0.0328238	+	0.438003i	−0.956447	+	0.291907i	$0.905710\pi$
$942$	−22.0383	−	16.2152i	−0.718045	−	0.528321i
$943$	21.9236	+	9.56518i	0.713931	+	0.311485i
$944$	−0.420517	+	0.873213i	−0.0136867	+	0.0284207i
$945$	0.976375	−	0.114353i	0.0317615	−	0.00371990i
$946$	−17.7925	+	6.22585i	−0.578483	+	0.202420i
$947$	47.1254	−	1.76331i	1.53137	−	0.0572998i	0.741658	−	0.670779i	$-0.234040\pi$
$947$	47.1254	−	1.76331i	1.53137	−	0.0572998i	0.789711	+	0.613479i	$0.210230\pi$
$948$	4.55299	−	14.8375i	0.147874	−	0.481898i
$949$	−10.7027	−	56.5652i	−0.347425	−	1.83618i
$950$	18.0537	−	16.7514i	0.585740	−	0.543487i
$951$	−5.75597	+	14.7293i	−0.186650	+	0.477630i
$952$	−0.407197	+	0.0613751i	−0.0131973	+	0.00198918i
$953$	47.8223	+	10.9151i	1.54912	+	0.353576i	0.909693	−	0.415280i	$-0.136317\pi$
$953$	47.8223	+	10.9151i	1.54912	+	0.353576i	0.639422	+	0.768856i	$0.279174\pi$
$954$	−6.05107	−	9.56796i	−0.195911	−	0.309774i
$955$	2.64800	+	0.298358i	0.0856874	+	0.00965465i
$956$	−13.7991	+	23.9007i	−0.446294	+	0.773003i
$957$	−27.7221	−	9.90865i	−0.896130	−	0.320301i
$958$	−6.36802	−	11.0297i	−0.205741	−	0.356355i
$959$	0.423547	+	0.970781i	0.0136771	+	0.0313482i
$960$	0.817135	+	0.814747i	0.0263729	+	0.0262959i
$961$	17.9756	−	19.3731i	0.579858	−	0.624938i
$962$	−8.99822	−	11.2834i	−0.290114	−	0.363792i
$963$	−37.1603	−	25.1765i	−1.19747	−	0.811301i
$964$	3.35475	+	14.6981i	0.108049	+	0.473394i
$965$	−13.4695	+	11.5915i	−0.433600	+	0.373143i
$966$	−2.77629	+	2.58359i	−0.0893256	+	0.0831256i
$967$	−14.3299	+	27.1135i	−0.460818	+	0.871910i	0.538748	+	0.842467i	$0.318897\pi$
$967$	−14.3299	+	27.1135i	−0.460818	+	0.871910i	−0.999566	+	0.0294435i	$0.990626\pi$
$968$	0.786731	+	0.677037i	0.0252865	+	0.0217608i
$969$	−13.5665	+	0.527501i	−0.435820	+	0.0169458i
$970$	−5.94133	−	8.71434i	−0.190765	−	0.279800i
$971$	5.86624	+	52.0643i	0.188257	+	1.67082i	0.632228	+	0.774783i	$0.282141\pi$
$971$	5.86624	+	52.0643i	0.188257	+	1.67082i	−0.443971	+	0.896041i	$0.646431\pi$
$972$	−0.696805	−	15.5729i	−0.0223500	−	0.499500i
$973$	−1.60608	−	0.773446i	−0.0514885	−	0.0247955i
$974$	−6.79083	−	25.3437i	−0.217592	−	0.812065i
$975$	14.0789	−	32.3984i	0.450886	−	1.03758i
$976$	3.85079	+	2.03520i	0.123261	+	0.0651452i
$977$	−11.9842	+	17.5775i	−0.383408	+	0.562356i	−0.968627	−	0.248519i	$-0.920056\pi$
$977$	−11.9842	+	17.5775i	−0.383408	+	0.562356i	0.585219	+	0.810875i	$0.301008\pi$
$978$	1.87352	+	0.0673576i	0.0599086	+	0.00215386i
$979$	7.59970	−	24.6376i	0.242888	−	0.787422i
$980$	3.60406	+	2.87415i	0.115128	+	0.0918112i
$981$	−19.7682	+	18.4501i	−0.631149	+	0.589067i
$982$	6.61186	−	28.9684i	0.210993	−	0.924420i
$983$	−18.8204	−	35.6099i	−0.600278	−	1.13578i	−0.977753	−	0.209761i	$-0.932731\pi$
$983$	−18.8204	−	35.6099i	−0.600278	−	1.13578i	0.377475	−	0.926020i	$-0.376792\pi$
$984$	5.07424	+	1.76722i	0.161761	+	0.0563371i
$985$	9.87732	−	5.70267i	0.314717	−	0.181702i
$986$	−2.08248	+	7.52633i	−0.0663197	+	0.239687i
$987$	0.244517	−	1.07857i	0.00778307	−	0.0343313i
$988$	−19.4687	−	14.3686i	−0.619383	−	0.457126i
$989$	38.9911	+	24.4997i	1.23984	+	0.779046i
$990$	3.91869	−	4.94348i	0.124544	−	0.157114i
$991$	−33.3341	+	26.5831i	−1.05889	+	0.844440i	−0.988217	−	0.153060i	$-0.951087\pi$
$991$	−33.3341	+	26.5831i	−1.05889	+	0.844440i	−0.0706769	+	0.997499i	$0.522516\pi$
$992$	2.76860	+	7.05428i	0.0879031	+	0.223974i
$993$	18.2454	−	10.5696i	0.579000	−	0.335416i
$994$	4.49197	−	0.849927i	0.142477	−	0.0269580i
$995$	−6.89852	−	4.70333i	−0.218698	−	0.149106i
$996$	1.31356	−	6.99838i	0.0416218	−	0.221752i
$997$	−13.6580	−	2.58422i	−0.432552	−	0.0818432i	−0.0349239	−	0.999390i	$-0.511119\pi$
$997$	−13.6580	−	2.58422i	−0.432552	−	0.0818432i	−0.397628	+	0.917547i	$0.630166\pi$
$998$	−19.7805	−	19.7805i	−0.626139	−	0.626139i
$999$	−15.0616	+	7.33487i	−0.476526	+	0.232065i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	522.2.x.a.317.9	yes	720
9.5	odd	6	inner	522.2.x.a.491.16	yes	720
29.14	odd	28	inner	522.2.x.a.101.16	✓	720
261.14	even	84	inner	522.2.x.a.275.9	yes	720

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
522.2.x.a.101.16	✓	720	29.14	odd	28	inner
522.2.x.a.275.9	yes	720	261.14	even	84	inner
522.2.x.a.317.9	yes	720	1.1	even	1	trivial
522.2.x.a.491.16	yes	720	9.5	odd	6	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:	\( N \)	\(=\)	\( 522 = 2 \cdot 3^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	522.x (of order \(84\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.593820 + 0.804598i) q^{2} +(0.450735 + 1.67237i) q^{3} +(-0.294755 - 0.955573i) q^{4} +(0.243395 - 0.620161i) q^{5} +(-1.61324 - 0.630430i) q^{6} +(-0.271358 - 0.0837030i) q^{7} +(0.943883 + 0.330279i) q^{8} +(-2.59368 + 1.50760i) q^{9} +(0.354447 + 0.564099i) q^{10} +(-0.586788 + 3.10125i) q^{11} +(1.46522 - 0.923651i) q^{12} +(-4.46385 + 0.334520i) q^{13} +(0.228485 - 0.168630i) q^{14} +(1.14685 + 0.127520i) q^{15} +(-0.826239 + 0.563320i) q^{16} +(1.02539 - 1.02539i) q^{17} +(0.327169 - 2.98211i) q^{18} +(-4.57694 + 2.87588i) q^{19} +(-0.664351 - 0.0497862i) q^{20} +(0.0176721 - 0.491541i) q^{21} +(-2.14681 - 2.31371i) q^{22} +(-1.14918 + 7.62434i) q^{23} +(-0.126909 + 1.72740i) q^{24} +(3.33990 + 3.09898i) q^{25} +(2.38157 - 3.79025i) q^{26} +(-3.69033 - 3.65807i) q^{27} +0.283975i q^{28} +(4.91815 + 2.19359i) q^{29} +(-0.783624 + 0.847028i) q^{30} +(-6.94582 + 3.03043i) q^{31} +(0.0373912 - 0.999301i) q^{32} +(-5.45093 + 0.416512i) q^{33} +(0.216129 + 1.43392i) q^{34} +(-0.117957 + 0.147913i) q^{35} +(2.20512 + 2.03407i) q^{36} +(1.06483 - 3.04312i) q^{37} +(0.403951 - 5.39035i) q^{38} +(-2.57146 - 7.31446i) q^{39} +(0.434563 - 0.504971i) q^{40} +(0.802909 - 2.99650i) q^{41} +(0.384999 + 0.306106i) q^{42} +(2.38828 - 5.47400i) q^{43} +(3.13643 - 0.353390i) q^{44} +(0.303663 + 1.97544i) q^{45} +(-5.45212 - 5.45212i) q^{46} +(2.20929 + 0.418021i) q^{47} +(-1.31450 - 1.12787i) q^{48} +(-5.71704 - 3.89781i) q^{49} +(-4.47673 + 0.847043i) q^{50} +(2.17701 + 1.25266i) q^{51} +(1.63540 + 4.16693i) q^{52} +(2.95033 - 2.35281i) q^{53} +(5.13467 - 0.796990i) q^{54} +(1.78045 + 1.11873i) q^{55} +(-0.228485 - 0.168630i) q^{56} +(-6.87254 - 6.35810i) q^{57} +(-4.68545 + 2.65453i) q^{58} +(0.839346 - 0.484597i) q^{59} +(-0.216185 - 1.13348i) q^{60} +(-2.03520 - 3.85079i) q^{61} +(1.68629 - 7.38813i) q^{62} +(0.830006 - 0.192000i) q^{63} +(0.781831 + 0.623490i) q^{64} +(-0.879024 + 2.84973i) q^{65} +(2.90175 - 4.63314i) q^{66} +(-0.661007 + 0.969520i) q^{67} +(-1.28207 - 0.677595i) q^{68} +(-13.2687 + 1.51469i) q^{69} +(-0.0489654 - 0.182741i) q^{70} +(14.5046 + 6.98504i) q^{71} +(-2.94605 + 0.566357i) q^{72} +(1.43993 + 12.7797i) q^{73} +(1.81617 + 2.66383i) q^{74} +(-3.67724 + 6.98238i) q^{75} +(4.09719 + 3.52592i) q^{76} +(0.418813 - 0.792434i) q^{77} +(7.41218 + 2.27448i) q^{78} +(6.79192 - 5.84492i) q^{79} +(0.148246 + 0.649510i) q^{80} +(4.45431 - 7.82043i) q^{81} +(1.93419 + 2.42540i) q^{82} +(2.79624 - 3.01363i) q^{83} +(-0.474912 + 0.127997i) q^{84} +(-0.386331 - 0.885480i) q^{85} +(2.98616 + 5.17218i) q^{86} +(-1.45173 + 9.21371i) q^{87} +(-1.57814 + 2.73341i) q^{88} +(-8.11748 - 0.914620i) q^{89} +(-1.76975 - 0.928728i) q^{90} +(1.23930 + 0.282863i) q^{91} +(7.62434 - 1.14918i) q^{92} +(-8.19874 - 10.2501i) q^{93} +(-1.64826 + 1.52936i) q^{94} +(0.669504 + 3.53841i) q^{95} +(1.68806 - 0.387888i) q^{96} +(-15.8202 + 0.591949i) q^{97} +(6.53107 - 2.28532i) q^{98} +(-3.15349 - 8.92827i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 720 q + 24 q^{11} - 12 q^{14} - 20 q^{15} - 60 q^{16} + 84 q^{21} + 20 q^{24} + 60 q^{25} - 144 q^{27} - 12 q^{29} + 72 q^{30} + 84 q^{33} - 40 q^{36} + 40 q^{39} - 12 q^{41} - 104 q^{45} + 24 q^{46} - 24 q^{47}+ \cdots - 84 q^{99}+O(q^{100}) \) 720 * q + 24 * q^11 - 12 * q^14 - 20 * q^15 - 60 * q^16 + 84 * q^21 + 20 * q^24 + 60 * q^25 - 144 * q^27 - 12 * q^29 + 72 * q^30 + 84 * q^33 - 40 * q^36 + 40 * q^39 - 12 * q^41 - 104 * q^45 + 24 * q^46 - 24 * q^47 + 60 * q^49 + 16 * q^54 - 144 * q^55 + 12 * q^56 + 12 * q^58 + 120 * q^59 - 16 * q^60 - 12 * q^61 + 36 * q^65 - 48 * q^66 - 36 * q^68 + 52 * q^69 - 180 * q^74 - 184 * q^75 - 132 * q^77 - 68 * q^78 + 12 * q^79 - 216 * q^81 + 96 * q^82 - 432 * q^83 - 80 * q^84 - 48 * q^85 - 200 * q^87 - 112 * q^90 - 252 * q^92 - 112 * q^93 + 192 * q^95 + 24 * q^97 - 84 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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