LMFDB - Embedded newform 583.2.q.b.21.13

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [583,2,Mod(21,583)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(583, base_ring=CyclotomicField(52)) chi = DirichletCharacter(H, H._module([26, 31])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("583.21"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 583 = 11 \cdot 53 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	583.q (of order $52$, degree $24$, minimal)

Newform invariants

comment:select newform

sage:traces = [1200] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$4.65527843784$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$50$ over $\Q(\zeta_{52})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{52}]$

Embedding invariants

Embedding label			21.13
Character	$\chi$	$=$	583.21
Dual form			583.2.q.b.472.13

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.57662 - 0.491293i) q^{2} +(-0.327795 - 0.147528i) q^{3} +(0.598379 + 0.413032i) q^{4} +(-1.74756 - 0.105708i) q^{5} +(0.444327 + 0.393639i) q^{6} +(-2.46902 + 1.29584i) q^{7} +(1.29639 + 1.65472i) q^{8} +(-1.90368 - 2.14881i) q^{9} +(2.70330 + 1.02523i) q^{10} +(-1.10145 - 3.12839i) q^{11} +(-0.135212 - 0.223668i) q^{12} +(-0.414753 + 0.286284i) q^{13} +(4.52934 - 0.830033i) q^{14} +(0.557247 + 0.292466i) q^{15} +(-1.74661 - 4.60544i) q^{16} +(0.0634675 + 0.522702i) q^{17} +(1.94568 + 4.32312i) q^{18} +(-0.567801 + 3.09839i) q^{19} +(-1.00204 - 0.785052i) q^{20} +(1.00051 - 0.0605195i) q^{21} +(0.199599 + 5.47340i) q^{22} +(6.73144 + 6.73144i) q^{23} +(-0.180832 - 0.733663i) q^{24} +(-1.92074 - 0.233220i) q^{25} +(0.794556 - 0.247594i) q^{26} +(0.627831 + 2.01478i) q^{27} +(-2.01264 - 0.244378i) q^{28} +(2.01688 - 0.497115i) q^{29} +(-0.734878 - 0.734878i) q^{30} +(3.39805 - 5.62106i) q^{31} +(0.237275 + 3.92262i) q^{32} +(-0.100478 + 1.18796i) q^{33} +(0.156736 - 0.855281i) q^{34} +(4.45176 - 2.00357i) q^{35} +(-0.251597 - 2.07209i) q^{36} +(-1.43966 + 0.545990i) q^{37} +(2.41742 - 4.60601i) q^{38} +(0.178189 - 0.0326544i) q^{39} +(-2.09061 - 3.02877i) q^{40} +(3.39277 + 5.61232i) q^{41} +(-1.60715 - 0.396126i) q^{42} +(2.23867 - 5.90290i) q^{43} +(0.633041 - 2.32690i) q^{44} +(3.09966 + 3.95642i) q^{45} +(-7.30578 - 13.9200i) q^{46} +(2.89264 + 2.56265i) q^{47} +(-0.106903 + 1.76731i) q^{48} +(0.440416 - 0.638053i) q^{49} +(2.91369 + 1.31135i) q^{50} +(0.0563091 - 0.180702i) q^{51} -0.366424 q^{52} +(6.92325 + 2.25137i) q^{53} -3.48498i q^{54} +(1.59415 + 5.58349i) q^{55} +(-5.34508 - 2.40563i) q^{56} +(0.643223 - 0.931869i) q^{57} +(-3.42407 - 0.207118i) q^{58} +(2.83471 - 3.19973i) q^{59} +(0.212648 + 0.405166i) q^{60} +(6.77876 + 8.65245i) q^{61} +(-8.11901 + 7.19282i) q^{62} +(7.48477 + 2.83860i) q^{63} +(-0.804441 + 3.26375i) q^{64} +(0.755070 - 0.456456i) q^{65} +(0.742055 - 1.82360i) q^{66} +(-0.975785 + 0.178819i) q^{67} +(-0.177915 + 0.338988i) q^{68} +(-1.21345 - 3.19961i) q^{69} +(-8.00305 + 0.971746i) q^{70} +(4.60323 - 2.07175i) q^{71} +(1.08777 - 5.93577i) q^{72} +(7.27822 - 9.28996i) q^{73} +(2.53803 - 0.153522i) q^{74} +(0.595203 + 0.359813i) q^{75} +(-1.61949 + 1.61949i) q^{76} +(6.77340 + 6.29677i) q^{77} +(-0.296978 - 0.0360597i) q^{78} +(-1.53373 - 4.92190i) q^{79} +(2.56548 + 8.23293i) q^{80} +(-0.946667 + 7.79651i) q^{81} +(-2.59179 - 10.5153i) q^{82} +(-1.53393 - 1.53393i) q^{83} +(0.623679 + 0.377027i) q^{84} +(-0.0556596 - 0.920163i) q^{85} +(-6.42958 + 8.20676i) q^{86} +(-0.734460 - 0.134595i) q^{87} +(3.74871 - 5.87820i) q^{88} +(0.979731 + 8.06881i) q^{89} +(-2.94321 - 7.76060i) q^{90} +(0.653057 - 1.24430i) q^{91} +(1.24766 + 6.80825i) q^{92} +(-1.94313 + 1.34125i) q^{93} +(-3.30156 - 5.46145i) q^{94} +(1.31979 - 5.35461i) q^{95} +(0.500921 - 1.32082i) q^{96} +(3.44824 - 3.05488i) q^{97} +(-1.00784 + 0.789590i) q^{98} +(-4.62552 + 8.32226i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 48 q^{3} - 52 q^{4} - 44 q^{5} - 52 q^{9} - 26 q^{11} - 64 q^{12} - 28 q^{14} - 28 q^{15} + 72 q^{16} - 52 q^{20} - 12 q^{22} - 68 q^{23} - 52 q^{25} - 80 q^{26} - 72 q^{27} - 56 q^{31} - 28 q^{33}+ \cdots - 258 q^{99}+O(q^{100}) $ 1200 * q - 48 * q^3 - 52 * q^4 - 44 * q^5 - 52 * q^9 - 26 * q^11 - 64 * q^12 - 28 * q^14 - 28 * q^15 + 72 * q^16 - 52 * q^20 - 12 * q^22 - 68 * q^23 - 52 * q^25 - 80 * q^26 - 72 * q^27 - 56 * q^31 - 28 * q^33 - 40 * q^34 - 144 * q^36 - 52 * q^37 - 52 * q^38 + 164 * q^42 - 150 * q^44 + 224 * q^45 - 36 * q^47 - 128 * q^48 - 180 * q^49 + 56 * q^53 - 124 * q^55 + 220 * q^56 - 104 * q^59 - 520 * q^60 + 156 * q^64 - 70 * q^66 + 12 * q^67 - 36 * q^69 - 52 * q^70 - 68 * q^71 + 8 * q^75 - 38 * q^77 - 52 * q^78 - 80 * q^80 + 40 * q^81 - 52 * q^82 - 48 * q^86 - 138 * q^88 - 12 * q^89 - 52 * q^91 - 144 * q^92 + 156 * q^93 + 36 * q^97 - 258 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/583\mathbb{Z}\right)^\times$.

$n$	$266$	$320$
$\chi(n)$	$-1$	$e\left(\frac{31}{52}\right)$

Coefficient data

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

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

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

$2$	−1.57662	−	0.491293i	−1.11484	−	0.347397i	−0.315887	−	0.948797i	$-0.602302\pi$
$2$	−1.57662	−	0.491293i	−1.11484	−	0.347397i	−0.798948	+	0.601400i	$0.794610\pi$
$3$	−0.327795	−	0.147528i	−0.189252	−	0.0851756i	0.313571	−	0.949565i	$-0.398475\pi$
$3$	−0.327795	−	0.147528i	−0.189252	−	0.0851756i	−0.502823	+	0.864389i	$0.667705\pi$
$4$	0.598379	+	0.413032i	0.299190	+	0.206516i
$5$	−1.74756	−	0.105708i	−0.781534	−	0.0472741i	−0.335208	−	0.942144i	$-0.608806\pi$
$5$	−1.74756	−	0.105708i	−0.781534	−	0.0472741i	−0.446326	+	0.894870i	$0.647268\pi$
$6$	0.444327	+	0.393639i	0.181396	+	0.160702i
$7$	−2.46902	+	1.29584i	−0.933203	+	0.489783i	−0.861565	−	0.507648i	$-0.830515\pi$
$7$	−2.46902	+	1.29584i	−0.933203	+	0.489783i	−0.0716387	+	0.997431i	$0.522823\pi$
$8$	1.29639	+	1.65472i	0.458343	+	0.585032i
$9$	−1.90368	−	2.14881i	−0.634561	−	0.716271i
$10$	2.70330	+	1.02523i	0.854859	+	0.324205i
$11$	−1.10145	−	3.12839i	−0.332098	−	0.943245i
$11$	−1.10145	−	3.12839i	−0.332098	−	0.943245i
$12$	−0.135212	−	0.223668i	−0.0390323	−	0.0645673i
$13$	−0.414753	+	0.286284i	−0.115032	+	0.0794008i	−0.624192	−	0.781271i	$-0.714572\pi$
$13$	−0.414753	+	0.286284i	−0.115032	+	0.0794008i	0.509160	+	0.860672i	$0.329956\pi$
$14$	4.52934	−	0.830033i	1.21052	−	0.221836i
$15$	0.557247	+	0.292466i	0.143881	+	0.0755144i
$16$	−1.74661	−	4.60544i	−0.436653	−	1.15136i
$17$	0.0634675	+	0.522702i	0.0153931	+	0.126774i	0.998380	−	0.0569038i	$-0.0181228\pi$
$17$	0.0634675	+	0.522702i	0.0153931	+	0.126774i	−0.982987	+	0.183678i	$0.941200\pi$
$18$	1.94568	+	4.32312i	0.458601	+	1.01897i
$19$	−0.567801	+	3.09839i	−0.130262	+	0.710819i	0.852034	+	0.523486i	$0.175369\pi$
$19$	−0.567801	+	3.09839i	−0.130262	+	0.710819i	−0.982297	+	0.187333i	$0.940016\pi$
$20$	−1.00204	−	0.785052i	−0.224064	−	0.175543i
$21$	1.00051	−	0.0605195i	0.218329	−	0.0132064i
$22$	0.199599	+	5.47340i	0.0425546	+	1.16693i
$23$	6.73144	+	6.73144i	1.40360	+	1.40360i	0.788259	+	0.615344i	$0.210983\pi$
$23$	6.73144	+	6.73144i	1.40360	+	1.40360i	0.615344	+	0.788259i	$0.289017\pi$
$24$	−0.180832	−	0.733663i	−0.0369121	−	0.149758i
$25$	−1.92074	−	0.233220i	−0.384148	−	0.0466441i
$26$	0.794556	−	0.247594i	0.155825	−	0.0485571i
$27$	0.627831	+	2.01478i	0.120826	+	0.387745i
$28$	−2.01264	−	0.244378i	−0.380353	−	0.0461832i
$29$	2.01688	−	0.497115i	0.374525	−	0.0923120i	−0.0475602	−	0.998868i	$-0.515145\pi$
$29$	2.01688	−	0.497115i	0.374525	−	0.0923120i	0.422085	+	0.906556i	$0.361298\pi$
$30$	−0.734878	−	0.734878i	−0.134170	−	0.134170i
$31$	3.39805	−	5.62106i	0.610308	−	1.00957i	−0.385897	−	0.922542i	$-0.626108\pi$
$31$	3.39805	−	5.62106i	0.610308	−	1.00957i	0.996206	−	0.0870313i	$-0.0277380\pi$
$32$	0.237275	+	3.92262i	0.0419447	+	0.693428i
$33$	−0.100478	+	1.18796i	−0.0174911	+	0.206798i
$34$	0.156736	−	0.855281i	0.0268800	−	0.146679i
$35$	4.45176	−	2.00357i	0.752484	−	0.338666i
$36$	−0.251597	−	2.07209i	−0.0419328	−	0.345348i
$37$	−1.43966	+	0.545990i	−0.236678	+	0.0897602i	−0.470092	−	0.882617i	$-0.655779\pi$
$37$	−1.43966	+	0.545990i	−0.236678	+	0.0897602i	0.233414	+	0.972377i	$0.425010\pi$
$38$	2.41742	−	4.60601i	0.392157	−	0.747193i
$39$	0.178189	−	0.0326544i	0.0285331	−	0.00522888i
$40$	−2.09061	−	3.02877i	−0.330554	−	0.478890i
$41$	3.39277	+	5.61232i	0.529861	+	0.876498i	0.999981	−	0.00610482i	$-0.00194324\pi$
$41$	3.39277	+	5.61232i	0.529861	+	0.876498i	−0.470120	+	0.882602i	$0.655789\pi$
$42$	−1.60715	−	0.396126i	−0.247988	−	0.0611236i
$43$	2.23867	−	5.90290i	0.341395	−	0.900184i	−0.648859	−	0.760909i	$-0.724754\pi$
$43$	2.23867	−	5.90290i	0.341395	−	0.900184i	0.990254	−	0.139275i	$-0.0444772\pi$
$44$	0.633041	−	2.32690i	0.0954346	−	0.350793i
$45$	3.09966	+	3.95642i	0.462070	+	0.589789i
$46$	−7.30578	−	13.9200i	−1.07718	−	2.05239i
$47$	2.89264	+	2.56265i	0.421934	+	0.373801i	0.847206	−	0.531265i	$-0.178283\pi$
$47$	2.89264	+	2.56265i	0.421934	+	0.373801i	−0.425272	+	0.905066i	$0.639821\pi$
$48$	−0.106903	+	1.76731i	−0.0154301	+	0.255090i
$49$	0.440416	−	0.638053i	0.0629166	−	0.0911504i
$50$	2.91369	+	1.31135i	0.412058	+	0.185452i
$51$	0.0563091	−	0.180702i	0.00788485	−	0.0253034i
$52$	−0.366424			−0.0508139
$53$	6.92325	+	2.25137i	0.950981	+	0.309249i
$53$	6.92325	+	2.25137i	0.950981	+	0.309249i
$54$		−	3.48498i		−	0.474246i
$55$	1.59415	+	5.58349i	0.214955	+	0.752877i
$56$	−5.34508	−	2.40563i	−0.714266	−	0.321465i
$57$	0.643223	−	0.931869i	0.0851969	−	0.123429i
$58$	−3.42407	−	0.207118i	−0.449602	−	0.0271959i
$59$	2.83471	−	3.19973i	0.369048	−	0.416569i	−0.534424	−	0.845217i	$-0.679471\pi$
$59$	2.83471	−	3.19973i	0.369048	−	0.416569i	0.903472	+	0.428647i	$0.141010\pi$
$60$	0.212648	+	0.405166i	0.0274527	+	0.0523067i
$61$	6.77876	+	8.65245i	0.867931	+	1.10783i	0.993282	+	0.115720i	$0.0369174\pi$
$61$	6.77876	+	8.65245i	0.867931	+	1.10783i	−0.125351	+	0.992112i	$0.540006\pi$
$62$	−8.11901	+	7.19282i	−1.03112	+	0.913489i
$63$	7.48477	+	2.83860i	0.942992	+	0.357630i
$64$	−0.804441	+	3.26375i	−0.100555	+	0.407968i
$65$	0.755070	−	0.456456i	0.0936550	−	0.0566164i
$66$	0.742055	−	1.82360i	0.0913406	−	0.224469i
$67$	−0.975785	+	0.178819i	−0.119211	+	0.0218463i	−0.239529	−	0.970889i	$-0.576993\pi$
$67$	−0.975785	+	0.178819i	−0.119211	+	0.0218463i	0.120318	+	0.992735i	$0.461609\pi$
$68$	−0.177915	+	0.338988i	−0.0215753	+	0.0411083i
$69$	−1.21345	−	3.19961i	−0.146082	−	0.385188i
$70$	−8.00305	+	0.971746i	−0.956547	+	0.116146i
$71$	4.60323	−	2.07175i	0.546303	−	0.245871i	−0.118416	−	0.992964i	$-0.537782\pi$
$71$	4.60323	−	2.07175i	0.546303	−	0.245871i	0.664720	+	0.747093i	$0.268551\pi$
$72$	1.08777	−	5.93577i	0.128195	−	0.699537i
$73$	7.27822	−	9.28996i	0.851851	−	1.08731i	−0.143371	−	0.989669i	$-0.545794\pi$
$73$	7.27822	−	9.28996i	0.851851	−	1.08731i	0.995222	−	0.0976384i	$-0.0311289\pi$
$74$	2.53803	−	0.153522i	0.295040	−	0.0178466i
$75$	0.595203	+	0.359813i	0.0687281	+	0.0415476i
$76$	−1.61949	+	1.61949i	−0.185768	+	0.185768i
$77$	6.77340	+	6.29677i	0.771900	+	0.717583i
$78$	−0.296978	−	0.0360597i	−0.0336262	−	0.00408296i
$79$	−1.53373	−	4.92190i	−0.172558	−	0.553757i	0.827412	−	0.561596i	$-0.189812\pi$
$79$	−1.53373	−	4.92190i	−0.172558	−	0.553757i	−0.999969	+	0.00783902i	$0.997505\pi$
$80$	2.56548	+	8.23293i	0.286830	+	0.920469i
$81$	−0.946667	+	7.79651i	−0.105185	+	0.866279i
$82$	−2.59179	−	10.5153i	−0.286216	−	1.16122i
$83$	−1.53393	−	1.53393i	−0.168371	−	0.168371i	0.617892	−	0.786263i	$-0.287987\pi$
$83$	−1.53393	−	1.53393i	−0.168371	−	0.168371i	−0.786263	+	0.617892i	$0.787987\pi$
$84$	0.623679	+	0.377027i	0.0680490	+	0.0411371i
$85$	−0.0556596	−	0.920163i	−0.00603713	−	0.0998057i
$86$	−6.42958	+	8.20676i	−0.693320	+	0.884957i
$87$	−0.734460	−	0.134595i	−0.0787424	−	0.0144301i
$88$	3.74871	−	5.87820i	0.399613	−	0.626618i
$89$	0.979731	+	8.06881i	0.103851	+	0.855292i	0.947799	+	0.318867i	$0.103302\pi$
$89$	0.979731	+	8.06881i	0.103851	+	0.855292i	−0.843948	+	0.536425i	$0.819775\pi$
$90$	−2.94321	−	7.76060i	−0.310241	−	0.818039i
$91$	0.653057	−	1.24430i	0.0684590	−	0.130438i
$92$	1.24766	+	6.80825i	0.130077	+	0.709810i
$93$	−1.94313	+	1.34125i	−0.201493	+	0.139081i
$94$	−3.30156	−	5.46145i	−0.340530	−	0.563305i
$95$	1.31979	−	5.35461i	0.135408	−	0.549371i
$96$	0.500921	−	1.32082i	0.0511250	−	0.134806i
$97$	3.44824	−	3.05488i	0.350116	−	0.310176i	−0.469674	−	0.882840i	$-0.655629\pi$
$97$	3.44824	−	3.05488i	0.350116	−	0.310176i	0.819790	+	0.572664i	$0.194090\pi$
$98$	−1.00784	+	0.789590i	−0.101807	+	0.0797607i
$99$	−4.62552	+	8.32226i	−0.464883	+	0.836419i
$100$	−1.05301	−	0.932881i	−0.105301	−	0.0932881i
$101$	−16.1650	−	0.977801i	−1.60848	−	0.0972949i	−0.768475	−	0.639880i	$-0.778984\pi$
$101$	−16.1650	−	0.977801i	−1.60848	−	0.0972949i	−0.840001	+	0.542585i	$0.817446\pi$
$102$	−0.177555	+	0.257234i	−0.0175806	+	0.0254699i
$103$	−3.38073	+	7.51168i	−0.333113	+	0.740148i	−0.999987	−	0.00502296i	$-0.998401\pi$
$103$	−3.38073	+	7.51168i	−0.333113	+	0.740148i	0.666874	+	0.745170i	$0.267632\pi$
$104$	−1.01140	−	0.315166i	−0.0991761	−	0.0309045i
$105$	−1.75485			−0.171255
$106$	−9.80921	−	6.95089i	−0.952755	−	0.675130i
$107$		−	0.378886i		−	0.0366283i	−0.999832	−	0.0183141i	$-0.994170\pi$
$107$		−	0.378886i		−	0.0366283i	0.999832	−	0.0183141i	$-0.00582989\pi$
$108$	−0.456486	+	1.46492i	−0.0439254	+	0.140962i
$109$	−0.300024	+	0.666625i	−0.0287370	+	0.0638511i	−0.925709	−	0.378236i	$-0.876531\pi$
$109$	−0.300024	+	0.666625i	−0.0287370	+	0.0638511i	0.896972	+	0.442087i	$0.145762\pi$
$110$	0.229771	−	9.58621i	0.0219078	−	0.914009i
$111$	0.552461	+	0.0334178i	0.0524373	+	0.00317187i
$112$	10.2804	+	9.10760i	0.971403	+	0.860588i
$113$	7.73717	+	14.7419i	0.727852	+	1.38681i	0.914584	+	0.404395i	$0.132518\pi$
$113$	7.73717	+	14.7419i	0.727852	+	1.38681i	−0.186733	+	0.982411i	$0.559790\pi$
$114$	−1.47194	+	1.15319i	−0.137859	+	0.108006i
$115$	−11.0521	−	12.4752i	−1.03061	−	1.16332i
$116$	1.41218	+	0.535570i	0.131118	+	0.0497264i
$117$	1.40473	+	0.346235i	0.129867	+	0.0320094i
$118$	−6.04126	+	3.65207i	−0.556143	+	0.336200i
$119$	−0.834043	−	1.20832i	−0.0764566	−	0.110766i
$120$	0.238461	+	1.30124i	0.0217684	+	0.118786i
$121$	−8.57364	+	6.89150i	−0.779422	+	0.626500i
$122$	−6.43661	−	16.9719i	−0.582743	−	1.53657i
$123$	−0.284154	−	2.34022i	−0.0256213	−	0.211011i
$124$	4.35500	−	1.96003i	0.391091	−	0.176016i
$125$	11.9424	+	2.18852i	1.06816	+	0.195747i
$126$	−10.4060	−	8.15259i	−0.927042	−	0.726291i
$127$	−19.6258	+	1.18714i	−1.74151	+	0.105342i	−0.900274	−	0.435324i	$-0.856634\pi$
$127$	−19.6258	+	1.18714i	−1.74151	+	0.105342i	−0.841237	+	0.540666i	$0.818172\pi$
$128$	6.93781	−	11.4765i	0.613221	−	1.01439i
$129$	−1.60467	+	1.60467i	−0.141283	+	0.141283i
$130$	−1.41471	+	0.348695i	−0.124078	+	0.0305825i
$131$	−1.56239	+	12.8675i	−0.136507	+	1.12424i	0.749973	+	0.661468i	$0.230066\pi$
$131$	−1.56239	+	12.8675i	−0.136507	+	1.12424i	−0.886480	+	0.462767i	$0.846857\pi$
$132$	−0.550791	+	0.669353i	−0.0479402	+	0.0582597i
$133$	−2.61311	−	8.38578i	−0.226586	−	0.727139i
$134$	1.62629	+	0.197467i	0.140490	+	0.0170586i
$135$	−0.884195	−	3.58732i	−0.0760994	−	0.308747i
$136$	−0.782647	+	0.782647i	−0.0671114	+	0.0671114i
$137$	5.50789	−	9.11117i	0.470571	−	0.778419i	−0.526868	−	0.849947i	$-0.676634\pi$
$137$	5.50789	−	9.11117i	0.470571	−	0.778419i	0.997439	+	0.0715279i	$0.0227875\pi$
$138$	0.341201	+	5.64072i	0.0290449	+	0.480170i
$139$	−4.99791	−	3.91561i	−0.423917	−	0.332118i	0.381983	−	0.924169i	$-0.375241\pi$
$139$	−4.99791	−	3.91561i	−0.423917	−	0.332118i	−0.805900	+	0.592051i	$0.798318\pi$
$140$	3.49138	+	0.639819i	0.295075	+	0.0540746i
$141$	−0.570127	−	1.26677i	−0.0480134	−	0.106681i
$142$	−8.27537	+	1.00481i	−0.694453	+	0.0843219i
$143$	1.35243	+	0.982185i	0.113096	+	0.0821344i
$144$	−6.57124	+	12.5204i	−0.547603	+	1.04337i
$145$	−3.57717	+	0.655540i	−0.297068	+	0.0544397i
$146$	−16.0390	+	11.0710i	−1.32740	+	0.916239i
$147$	−0.238497	+	0.144176i	−0.0196709	+	0.0118915i
$148$	−1.08697	−	0.267915i	−0.0893486	−	0.0220225i
$149$	2.05918	−	5.42961i	0.168695	−	0.444811i	−0.823833	−	0.566833i	$-0.808169\pi$
$149$	2.05918	−	5.42961i	0.168695	−	0.444811i	0.992527	+	0.122022i	$0.0389378\pi$
$150$	−0.761632	−	0.859705i	−0.0621870	−	0.0701946i
$151$	−4.48476	+	3.51359i	−0.364965	+	0.285932i	−0.782401	−	0.622774i	$-0.786005\pi$
$151$	−4.48476	+	3.51359i	−0.364965	+	0.285932i	0.417437	+	0.908706i	$0.362929\pi$
$152$	−5.86306	+	3.07717i	−0.475557	+	0.249591i
$153$	1.00237	−	1.13144i	0.0810366	−	0.0914714i
$154$	−7.58549	−	13.2553i	−0.611256	−	1.06814i
$155$	−6.53250	+	9.46396i	−0.524703	+	0.760164i
$156$	0.120112	+	0.0540580i	0.00961665	+	0.00432810i
$157$	−4.07129	−	1.26867i	−0.324925	−	0.101251i	0.130702	−	0.991422i	$-0.458277\pi$
$157$	−4.07129	−	1.26867i	−0.324925	−	0.101251i	−0.455626	+	0.890171i	$0.650585\pi$
$158$			8.51345i			0.677294i
$159$	−1.93726	−	1.75936i	−0.153635	−	0.139527i
$160$		−	6.88011i		−	0.543920i
$161$	−25.3430	−	7.89720i	−1.99731	−	0.622386i
$162$	5.32290	−	11.8270i	0.418207	−	0.929217i
$163$	1.16720	+	0.805663i	0.0914225	+	0.0631044i	0.612899	−	0.790161i	$-0.290003\pi$
$163$	1.16720	+	0.805663i	0.0914225	+	0.0631044i	−0.521477	+	0.853266i	$0.674619\pi$
$164$	−0.287904	+	4.75962i	−0.0224815	+	0.371664i
$165$	0.301170	−	2.06542i	0.0234460	−	0.160793i
$166$	1.66481	+	3.17203i	0.129214	+	0.246197i
$167$	5.29553	+	6.75924i	0.409780	+	0.523046i	0.947361	−	0.320166i	$-0.103739\pi$
$167$	5.29553	+	6.75924i	0.409780	+	0.523046i	−0.537581	+	0.843212i	$0.680662\pi$
$168$	1.39719	+	1.57710i	0.107796	+	0.121676i
$169$	−4.51980	+	11.9177i	−0.347677	+	0.916749i
$170$	−0.364316	+	1.47809i	−0.0279418	+	0.113364i
$171$	7.73877	−	4.67825i	0.591799	−	0.357755i
$172$	3.77766	−	2.60753i	0.288044	−	0.198822i
$173$	3.16384	+	17.2645i	0.240542	+	1.31260i	0.852925	+	0.522034i	$0.174827\pi$
$173$	3.16384	+	17.2645i	0.240542	+	1.31260i	−0.612383	+	0.790561i	$0.709789\pi$
$174$	1.09184	+	0.573040i	0.0827719	+	0.0434420i
$175$	5.04458	−	1.91316i	0.381334	−	0.144621i
$176$	−12.4838	+	10.5367i	−0.941002	+	0.794235i
$177$	−1.40126	+	0.630654i	−0.105325	+	0.0474029i
$178$	2.41949	−	13.2027i	0.181349	−	0.989587i
$179$	−1.37902	−	1.08039i	−0.103073	−	0.0807523i	0.563859	−	0.825871i	$-0.309316\pi$
$179$	−1.37902	−	1.08039i	−0.103073	−	0.0807523i	−0.666932	+	0.745119i	$0.732393\pi$
$180$	0.220645	+	3.64770i	0.0164459	+	0.271883i
$181$	−7.77576	−	4.70061i	−0.577968	−	0.349394i	0.197965	−	0.980209i	$-0.436567\pi$
$181$	−7.77576	−	4.70061i	−0.577968	−	0.349394i	−0.775933	+	0.630815i	$0.782720\pi$
$182$	−1.64094	+	1.64094i	−0.121634	+	0.121634i
$183$	−0.945560	−	3.83629i	−0.0698978	−	0.283586i
$184$	−2.41208	+	19.8652i	−0.177821	+	1.46448i
$185$	2.57361	−	0.801969i	0.189215	−	0.0589619i
$186$	3.72251	−	1.15998i	0.272948	−	0.0850540i
$187$	1.56531	−	0.774278i	0.114467	−	0.0566208i
$188$	0.672438	+	2.72819i	0.0490426	+	0.198974i
$189$	−4.16097	−	4.16097i	−0.302666	−	0.302666i
$190$	−4.71149	+	7.79375i	−0.341807	+	0.565418i
$191$	7.79123	−	0.471282i	0.563753	−	0.0341008i	0.223956	−	0.974599i	$-0.428103\pi$
$191$	7.79123	−	0.471282i	0.563753	−	0.0341008i	0.339798	+	0.940499i	$0.389641\pi$
$192$	0.745187	−	0.951161i	0.0537792	−	0.0686441i
$193$	3.83408	+	0.702621i	0.275983	+	0.0505757i	0.316464	−	0.948605i	$-0.397504\pi$
$193$	3.83408	+	0.702621i	0.275983	+	0.0505757i	−0.0404810	+	0.999180i	$0.512889\pi$
$194$	−6.93739	+	3.12227i	−0.498076	+	0.224166i
$195$	−0.314848	+	0.0382295i	−0.0225468	+	0.00273767i
$196$	0.527072	−	0.199892i	0.0376480	−	0.0142780i
$197$	4.46474	+	2.34327i	0.318099	+	0.166951i	0.616214	−	0.787579i	$-0.288666\pi$
$197$	4.46474	+	2.34327i	0.318099	+	0.166951i	−0.298115	+	0.954530i	$0.596358\pi$
$198$	11.3813	−	10.8485i	0.808837	−	0.770971i
$199$	12.0664	−	8.32883i	0.855364	−	0.590415i	−0.0576533	−	0.998337i	$-0.518362\pi$
$199$	12.0664	−	8.32883i	0.855364	−	0.590415i	0.913017	+	0.407922i	$0.133746\pi$
$200$	−2.10412	−	3.48064i	−0.148784	−	0.246118i
$201$	0.346238	+	0.0853401i	0.0244218	+	0.00601943i
$202$	25.0056	+	9.48336i	1.75939	+	0.667247i
$203$	−4.33553	+	3.84095i	−0.304295	+	0.269582i
$204$	0.108330	−	0.0848710i	0.00758461	−	0.00594216i
$205$	−5.33581	−	10.1665i	−0.372669	−	0.710061i
$206$	9.02055	−	10.1821i	0.628491	−	0.709420i
$207$	1.65008	−	27.2792i	0.114689	−	1.89603i
$208$	2.04288	+	1.41010i	0.141648	+	0.0977725i
$209$	10.3184	−	1.63640i	0.713736	−	0.113192i
$210$	2.76672	+	0.862144i	0.190922	+	0.0594936i
$211$	−4.23714			−0.291697			−0.145848	−	0.989307i	$-0.546591\pi$
$211$	−4.23714			−0.291697			−0.145848	+	0.989307i	$0.546591\pi$
$212$	3.21284	+	4.20669i	0.220659	+	0.288917i
$213$	−1.81456			−0.124331
$214$	−0.186144	+	0.597357i	−0.0127245	+	0.0408345i
$215$	−4.53621	+	10.0790i	−0.309367	+	0.687385i
$216$	−2.51998	+	3.65083i	−0.171463	+	0.248407i
$217$	−1.10585	+	18.2819i	−0.0750700	+	1.24106i
$218$	0.800530	−	0.903612i	0.0542187	−	0.0612003i
$219$	−3.75630	+	1.97146i	−0.253827	+	0.133219i
$220$	−1.35225	+	3.99948i	−0.0911687	+	0.269645i
$221$	−0.175964	−	0.198623i	−0.0118366	−	0.0133608i
$222$	−0.854601	−	0.324108i	−0.0573571	−	0.0217527i
$223$	−1.50712	+	6.11461i	−0.100924	+	0.409465i	−0.999574	−	0.0292025i	$-0.990703\pi$
$223$	−1.50712	+	6.11461i	−0.100924	+	0.409465i	0.898649	+	0.438667i	$0.144549\pi$
$224$	−5.66894	−	9.37757i	−0.378772	−	0.626566i
$225$	3.15534	+	4.57130i	0.210356	+	0.304753i
$226$	−4.95592	−	27.0436i	−0.329663	−	1.79891i
$227$	10.0096	−	19.0716i	0.664359	−	1.26583i	−0.287055	−	0.957914i	$-0.592676\pi$
$227$	10.0096	−	19.0716i	0.664359	−	1.26583i	0.951414	−	0.307915i	$-0.0996314\pi$
$228$	0.769782	−	0.291940i	0.0509801	−	0.0193342i
$229$	3.38262	−	0.410724i	0.223530	−	0.0271414i	−0.00800555	−	0.999968i	$-0.502548\pi$
$229$	3.38262	−	0.410724i	0.223530	−	0.0271414i	0.231535	+	0.972827i	$0.425625\pi$
$230$	11.2959	+	25.0984i	0.744827	+	1.65494i
$231$	−1.29133	−	3.06332i	−0.0849634	−	0.201551i
$232$	3.43725	+	2.69291i	0.225666	+	0.176798i
$233$	−13.5909	+	0.822098i	−0.890370	+	0.0538575i	−0.499226	−	0.866472i	$-0.666382\pi$
$233$	−13.5909	+	0.822098i	−0.890370	+	0.0538575i	−0.391144	+	0.920329i	$0.627921\pi$
$234$	−2.04462	−	1.23601i	−0.133661	−	0.0808007i
$235$	−4.78417	−	4.78417i	−0.312085	−	0.312085i
$236$	3.01782	−	0.743827i	0.196444	−	0.0484190i
$237$	−0.223373	+	1.83964i	−0.0145096	+	0.119498i
$238$	0.721325	+	2.31481i	0.0467566	+	0.150047i
$239$	18.3120	−	5.70625i	1.18451	−	0.369107i	0.358912	−	0.933372i	$-0.383148\pi$
$239$	18.3120	−	5.70625i	1.18451	−	0.369107i	0.825594	+	0.564265i	$0.190840\pi$
$240$	0.373639	−	3.07719i	0.0241183	−	0.198632i
$241$	−3.83664	+	0.945646i	−0.247139	+	0.0609144i	−0.360939	−	0.932589i	$-0.617544\pi$
$241$	−3.83664	+	0.945646i	−0.247139	+	0.0609144i	0.113800	+	0.993504i	$0.463698\pi$
$242$	16.9031	−	6.65307i	1.08657	−	0.427676i
$243$	4.73579	−	7.83395i	0.303801	−	0.502548i
$244$	0.482537	+	7.97729i	0.0308913	+	0.510693i
$245$	−0.837102	+	1.06848i	−0.0534805	+	0.0682628i
$246$	−0.701732	+	3.82923i	−0.0447408	+	0.244143i
$247$	−0.651521	−	1.44762i	−0.0414553	−	0.0921098i
$248$	13.7065	−	1.66427i	0.870363	−	0.105681i
$249$	0.276516	+	0.729114i	0.0175235	+	0.0462057i
$250$	−17.7533	−	9.31766i	−1.12282	−	0.589300i
$251$	−1.31828	−	7.19363i	−0.0832092	−	0.454058i	−0.998666	−	0.0516411i	$-0.983555\pi$
$251$	−1.31828	−	7.19363i	−0.0832092	−	0.454058i	0.915456	−	0.402417i	$-0.131830\pi$
$252$	3.30630	+	4.79000i	0.208277	+	0.301742i
$253$	13.6443	−	28.4729i	0.857807	−	1.79007i
$254$	31.5256	+	7.77037i	1.97809	+	0.487556i
$255$	−0.117505	+	0.309836i	−0.00735847	+	0.0194027i
$256$	−11.5445	+	10.2275i	−0.721530	+	0.639220i
$257$	12.7127	+	16.2266i	0.792996	+	1.01218i	0.999431	+	0.0337245i	$0.0107369\pi$
$257$	12.7127	+	16.2266i	0.792996	+	1.01218i	−0.206435	+	0.978460i	$0.566186\pi$
$258$	3.31831	−	1.74159i	0.206589	−	0.108426i
$259$	2.84703	−	3.21363i	0.176906	−	0.199686i
$260$	0.640349	+	0.0387340i	0.0397128	+	0.00240218i
$261$	−4.90770	−	3.38754i	−0.303779	−	0.209684i
$262$	8.78499	−	19.5194i	0.542739	−	1.20592i
$263$	5.36338	−	17.2117i	0.330720	−	1.06132i	−0.628297	−	0.777973i	$-0.716248\pi$
$263$	5.36338	−	17.2117i	0.330720	−	1.06132i	0.959018	−	0.283346i	$-0.0914444\pi$
$264$	−2.09601	+	1.37380i	−0.129000	+	0.0845517i
$265$	−11.8608	−	4.66625i	−0.728604	−	0.286646i
$266$			14.5049i			0.889356i
$267$	0.869228	−	2.78945i	0.0531959	−	0.170712i
$268$	−0.657748	−	0.296028i	−0.0401783	−	0.0180828i
$269$	16.4197	+	11.3337i	1.00113	+	0.691028i	0.951471	−	0.307738i	$-0.0995720\pi$
$269$	16.4197	+	11.3337i	1.00113	+	0.691028i	0.0496563	+	0.998766i	$0.484187\pi$
$270$	−0.368391	+	6.09023i	−0.0224195	+	0.370639i
$271$	20.8464	+	18.4683i	1.26633	+	1.12187i	0.986836	+	0.161723i	$0.0517053\pi$
$271$	20.8464	+	18.4683i	1.26633	+	1.12187i	0.279494	+	0.960147i	$0.409833\pi$
$272$	2.29642	−	1.20525i	0.139241	−	0.0730792i
$273$	−0.397638	+	0.311530i	−0.0240662	+	0.0188546i
$274$	−13.1601	+	11.6588i	−0.795030	+	0.704335i
$275$	1.38599	+	6.26571i	0.0835782	+	0.377836i
$276$	0.595435	−	2.41578i	0.0358410	−	0.145413i
$277$	12.1896	−	7.36889i	0.732404	−	0.442753i	−0.101378	−	0.994848i	$-0.532325\pi$
$277$	12.1896	−	7.36889i	0.732404	−	0.442753i	0.833782	+	0.552095i	$0.186171\pi$
$278$	5.95607	+	8.62885i	0.357221	+	0.517524i
$279$	−18.5474	+	3.39894i	−1.11041	+	0.203489i
$280$	9.08657	+	4.76900i	0.543026	+	0.285002i
$281$	−23.4639	+	8.89869i	−1.39974	+	0.530851i	−0.935016	−	0.354604i	$-0.884616\pi$
$281$	−23.4639	+	8.89869i	−1.39974	+	0.530851i	−0.464724	+	0.885456i	$0.653846\pi$
$282$	0.276515	+	2.27731i	0.0164662	+	0.135612i
$283$	11.0298	+	24.5073i	0.655655	+	1.45680i	0.876454	+	0.481486i	$0.159903\pi$
$283$	11.0298	+	24.5073i	0.655655	+	1.45680i	−0.220799	+	0.975319i	$0.570867\pi$
$284$	3.61018	+	0.661590i	0.214225	+	0.0392581i
$285$	−1.22258	+	1.56051i	−0.0724193	+	0.0924364i
$286$	−1.64973	−	2.21297i	−0.0975505	−	0.130856i
$287$	−15.6495	−	9.46046i	−0.923762	−	0.558434i
$288$	7.97729	−	7.97729i	0.470066	−	0.470066i
$289$	16.2368	−	4.00202i	0.955107	−	0.235413i
$290$	5.96188	+	0.723903i	0.350094	+	0.0425091i
$291$	−1.58100	+	0.492659i	−0.0926797	+	0.0288802i
$292$	8.19218	−	2.55279i	0.479411	−	0.149391i
$293$	27.6398	+	3.35608i	1.61473	+	0.196064i	0.877500	−	0.479576i	$-0.159209\pi$
$293$	27.6398	+	3.35608i	1.61473	+	0.196064i	0.737232	+	0.675640i	$0.236133\pi$
$294$	0.446851	−	0.110139i	0.0260609	−	0.00642343i
$295$	−5.29208	+	5.29208i	−0.308117	+	0.308117i
$296$	−2.76982	−	1.67441i	−0.160993	−	0.0973234i
$297$	5.61149	−	4.18327i	0.325612	−	0.242738i
$298$	−5.91406	+	7.54875i	−0.342593	+	0.437287i
$299$	−4.71899	−	0.864787i	−0.272906	−	0.0500119i
$300$	0.207543	+	0.461142i	0.0119825	+	0.0266240i
$301$	2.12189	+	17.4754i	0.122304	+	1.00726i
$302$	8.79694	−	3.33624i	0.506207	−	0.191979i
$303$	5.15454	+	2.70531i	0.296121	+	0.155416i
$304$	15.2612	−	2.79671i	0.875288	−	0.160402i
$305$	−10.9317	−	15.8373i	−0.625946	−	0.906839i
$306$	−2.13621	+	1.29139i	−0.122119	+	0.0738237i
$307$	4.35838	−	17.6826i	0.248746	−	1.00920i	−0.705149	−	0.709059i	$-0.749120\pi$
$307$	4.35838	−	17.6826i	0.248746	−	1.00920i	0.953895	−	0.300142i	$-0.0970340\pi$
$308$	1.45230	+	6.56548i	0.0827524	+	0.374103i
$309$	2.21637	−	1.96353i	0.126085	−	0.111702i
$310$	14.9488	−	11.7117i	0.849036	−	0.665177i
$311$	1.78149	−	0.934998i	0.101019	−	0.0530189i	−0.413457	−	0.910524i	$-0.635679\pi$
$311$	1.78149	−	0.934998i	0.101019	−	0.0530189i	0.514476	+	0.857505i	$0.327986\pi$
$312$	0.285036	+	0.252520i	0.0161370	+	0.0142961i
$313$	−0.167621	+	2.77110i	−0.00947448	+	0.156632i	0.990361	+	0.138508i	$0.0442308\pi$
$313$	−0.167621	+	2.77110i	−0.00947448	+	0.156632i	−0.999836	+	0.0181235i	$0.994231\pi$
$314$	5.79558	+	4.00040i	0.327063	+	0.225756i
$315$	−12.7800	−	5.75183i	−0.720074	−	0.324079i
$316$	1.11515	−	3.57864i	0.0627321	−	0.201314i
$317$			10.8500i			0.609399i	0.952448	+	0.304700i	$0.0985561\pi$
$317$			10.8500i			0.609399i	−0.952448	+	0.304700i	$0.901444\pi$
$318$	2.18996	+	3.72560i	0.122807	+	0.208921i
$319$	−3.77665	−	5.76203i	−0.211452	−	0.322612i
$320$	1.75082	−	5.61857i	0.0978736	−	0.314087i
$321$	−0.0558964	+	0.124197i	−0.00311983	+	0.00693199i
$322$	36.0763	+	24.9017i	2.01045	+	1.38772i
$323$	−1.65557	−	0.100144i	−0.0921184	−	0.00557213i
$324$	−3.78667	+	4.27427i	−0.210371	+	0.237459i
$325$	0.863402	−	0.453148i	0.0478929	−	0.0251361i
$326$	−1.44442	−	1.84366i	−0.0799988	−	0.102111i
$327$	0.196692	−	0.174254i	0.0108771	−	0.00963628i
$328$	−4.88847	+	12.8898i	−0.269921	+	0.711723i
$329$	−10.4628	−	2.57884i	−0.576832	−	0.142176i
$330$	−1.48956	+	3.10841i	−0.0819974	+	0.171112i
$331$	−11.7730	−	17.0561i	−0.647101	−	0.937487i	−0.999998	−	0.00182531i	$-0.999419\pi$
$331$	−11.7730	−	17.0561i	−0.647101	−	0.937487i	0.352898	−	0.935662i	$-0.385196\pi$
$332$	−0.284311	−	1.55144i	−0.0156036	−	0.0851461i
$333$	3.91388	+	2.05416i	0.214480	+	0.112568i
$334$	−5.02824	−	13.2584i	−0.275133	−	0.725467i
$335$	1.72415	−	0.209350i	0.0942003	−	0.0114380i
$336$	−2.02622	−	4.50207i	−0.110539	−	0.245608i
$337$	−4.84973	+	26.4641i	−0.264182	+	1.44159i	0.537207	+	0.843450i	$0.319479\pi$
$337$	−4.84973	+	26.4641i	−0.264182	+	1.44159i	−0.801389	+	0.598143i	$0.795905\pi$
$338$	12.9811	−	16.5691i	0.706078	−	0.901242i
$339$	−0.361348	−	5.97379i	−0.0196257	−	0.324452i
$340$	0.346751	−	0.573596i	0.0188052	−	0.0311076i
$341$	−21.3276	−	4.43914i	−1.15496	−	0.240393i
$342$	−14.4995	+	3.57380i	−0.784041	+	0.193249i
$343$	2.09217	−	17.2306i	0.112966	−	0.930362i
$344$	12.6698	−	3.94808i	0.683112	−	0.212866i
$345$	1.78236	+	5.71979i	0.0959590	+	0.307943i
$346$	3.49378	−	28.7738i	0.187827	−	1.54689i
$347$	−22.1947	+	5.47050i	−1.19147	+	0.293672i	−0.784711	−	0.619862i	$-0.787188\pi$
$347$	−22.1947	+	5.47050i	−1.19147	+	0.293672i	−0.406762	+	0.913534i	$0.633342\pi$
$348$	−0.383894	−	0.383894i	−0.0205789	−	0.0205789i
$349$	28.1353	+	17.0084i	1.50605	+	0.910439i	0.998817	+	0.0486299i	$0.0154855\pi$
$349$	28.1353	+	17.0084i	1.50605	+	0.910439i	0.507233	+	0.861809i	$0.330668\pi$
$350$	−8.89328	+	0.537944i	−0.475366	+	0.0287543i
$351$	−0.837194	−	0.655899i	−0.0446861	−	0.0350093i
$352$	12.0101	−	5.06284i	0.640143	−	0.269850i
$353$	9.15171	+	20.3343i	0.487096	+	1.08228i	0.977528	+	0.210804i	$0.0676083\pi$
$353$	9.15171	+	20.3343i	0.487096	+	1.08228i	−0.490432	+	0.871480i	$0.663161\pi$
$354$	2.51908	−	0.305871i	0.133887	−	0.0162569i
$355$	−8.26344	+	3.13391i	−0.438578	+	0.166331i
$356$	−2.74642	+	5.23287i	−0.145560	+	0.277341i
$357$	0.0951333	+	0.519126i	0.00503499	+	0.0274750i
$358$	1.64339	+	2.38086i	0.0868560	+	0.125833i
$359$	−4.40504	−	7.28682i	−0.232489	−	0.384584i	0.717653	−	0.696401i	$-0.245216\pi$
$359$	−4.40504	−	7.28682i	−0.232489	−	0.384584i	−0.950142	+	0.311817i	$0.899062\pi$
$360$	−2.52840	+	10.2581i	−0.133259	+	0.540651i
$361$	8.48770	+	3.21896i	0.446721	+	0.169419i
$362$	9.95000	+	11.2312i	0.522961	+	0.590300i
$363$	3.82709	−	0.994141i	0.200870	−	0.0521789i
$364$	0.904710	−	0.474828i	0.0474197	−	0.0248878i
$365$	−13.7012	+	15.4654i	−0.717152	+	0.809497i
$366$	−0.393958	+	6.51290i	−0.0205925	+	0.340435i
$367$	−5.62006	+	8.14206i	−0.293365	+	0.425012i	−0.941757	−	0.336294i	$-0.890826\pi$
$367$	−5.62006	+	8.14206i	−0.293365	+	0.425012i	0.648392	+	0.761306i	$0.275442\pi$
$368$	19.2440	−	42.7585i	1.00316	−	2.22894i
$369$	5.60108	−	17.9745i	0.291581	−	0.935716i
$370$	−4.45159			−0.231427
$371$	−20.0111	+	3.41276i	−1.03892	+	0.177182i
$372$	−1.71671			−0.0890071
$373$	−5.56200	−	1.73319i	−0.287990	−	0.0897412i	0.150105	−	0.988670i	$-0.452039\pi$
$373$	−5.56200	−	1.73319i	−0.287990	−	0.0897412i	−0.438095	+	0.898929i	$0.644347\pi$
$374$	−2.84829	+	0.451713i	−0.147281	+	0.0233575i
$375$	−3.59178	−	2.47922i	−0.185478	−	0.128027i
$376$	−0.490486	+	8.10870i	−0.0252949	+	0.418174i
$377$	−0.694191	+	0.783579i	−0.0357526	+	0.0403564i
$378$	4.51599	+	8.60450i	0.232278	+	0.442568i
$379$	−28.3908	+	22.2428i	−1.45834	+	1.14254i	−0.496801	+	0.867864i	$0.665492\pi$
$379$	−28.3908	+	22.2428i	−1.45834	+	1.14254i	−0.961538	+	0.274672i	$0.911431\pi$
$380$	3.00136	−	2.65897i	0.153966	−	0.136402i
$381$	6.60838	+	2.50623i	0.338558	+	0.128398i
$382$	−12.5153	−	3.08475i	−0.640339	−	0.157829i
$383$	−13.8164	−	22.8551i	−0.705985	−	1.16784i	−0.978610	−	0.205722i	$-0.934046\pi$
$383$	−13.8164	−	22.8551i	−0.705985	−	1.16784i	0.272625	−	0.962120i	$-0.412108\pi$
$384$	−3.96729	+	2.73843i	−0.202455	+	0.139745i
$385$	−11.1713	−	11.7200i	−0.569343	−	0.597307i
$386$	−5.69967	−	2.99142i	−0.290106	−	0.152259i
$387$	−16.9460	+	6.42675i	−0.861412	+	0.326690i
$388$	3.32512	−	0.403742i	0.168807	−	0.0204969i
$389$	18.3981	−	8.28030i	0.932819	−	0.419828i	0.113741	−	0.993510i	$-0.463716\pi$
$389$	18.3981	−	8.28030i	0.932819	−	0.419828i	0.819078	+	0.573683i	$0.194486\pi$
$390$	0.515177	+	0.0944096i	0.0260870	+	0.00478062i
$391$	−3.09131	+	3.94576i	−0.156334	+	0.199546i
$392$	1.62675	−	0.0984003i	0.0821633	−	0.00496996i
$393$	2.41046	−	3.98739i	0.121592	−	0.201137i
$394$	−5.88794	−	5.88794i	−0.296630	−	0.296630i
$395$	2.16000	+	8.76346i	0.108681	+	0.440937i
$396$	−6.20518	+	3.06938i	−0.311822	+	0.154242i
$397$	12.4608	−	3.88294i	0.625389	−	0.194879i	0.0316012	−	0.999501i	$-0.489939\pi$
$397$	12.4608	−	3.88294i	0.625389	−	0.194879i	0.593788	+	0.804621i	$0.297632\pi$
$398$	−23.1160	+	7.20322i	−1.15870	+	0.361065i
$399$	−0.380576	+	3.13432i	−0.0190526	+	0.156912i
$400$	2.28071	+	9.25321i	0.114036	+	0.462660i
$401$	5.72744	−	5.72744i	0.286015	−	0.286015i	−0.549487	−	0.835502i	$-0.685177\pi$
$401$	5.72744	−	5.72744i	0.286015	−	0.286015i	0.835502	+	0.549487i	$0.185177\pi$
$402$	−0.503958	−	0.304653i	−0.0251351	−	0.0151947i
$403$	0.199865	+	3.30416i	0.00995599	+	0.164592i
$404$	−9.26893	−	7.26174i	−0.461147	−	0.361285i
$405$	2.47851	−	13.5248i	0.123158	−	0.672054i
$406$	8.72250	−	3.92568i	0.432890	−	0.194828i
$407$	3.29377	+	3.90243i	0.163266	+	0.193436i
$408$	0.372010	−	0.141085i	0.0184172	−	0.00698474i
$409$	−3.84550	−	2.01827i	−0.190148	−	0.0997972i	0.366963	−	0.930236i	$-0.380398\pi$
$409$	−3.84550	−	2.01827i	−0.190148	−	0.0997972i	−0.557110	+	0.830438i	$0.688090\pi$
$410$	3.41777	+	18.6502i	0.168792	+	0.921066i
$411$	−3.14961	+	2.17402i	−0.155359	+	0.107237i
$412$	−5.12552	+	3.09848i	−0.252516	+	0.152651i
$413$	−2.85263	+	11.5736i	−0.140369	+	0.569497i
$414$	−16.0036	+	42.1981i	−0.786535	+	2.07392i
$415$	2.51849	+	2.84279i	0.123628	+	0.139547i
$416$	−1.22139	−	1.55899i	−0.0598837	−	0.0764359i
$417$	1.06062	+	2.02085i	0.0519390	+	0.0989615i
$418$	−17.0720	−	2.48937i	−0.835021	−	0.121759i
$419$	0.560082	−	9.25925i	0.0273618	−	0.452344i	−0.958533	−	0.284980i	$-0.908013\pi$
$419$	0.560082	−	9.25925i	0.0273618	−	0.452344i	0.985895	−	0.167364i	$-0.0535255\pi$
$420$	−1.05006	−	0.724807i	−0.0512379	−	0.0353670i
$421$	1.64078	−	3.64566i	0.0799667	−	0.177679i	−0.867579	−	0.497300i	$-0.834325\pi$
$421$	1.64078	−	3.64566i	0.0799667	−	0.177679i	0.947545	+	0.319621i	$0.103556\pi$
$422$	6.68034	+	2.08168i	0.325194	+	0.101334i
$423$		−	11.0942i		−	0.539419i
$424$	5.24985	+	14.3747i	0.254955	+	0.698097i
$425$		−	1.01878i		−	0.0494179i
$426$	2.86086	+	0.891480i	0.138609	+	0.0431924i
$427$	−27.9491	−	12.5789i	−1.35255	−	0.608735i
$428$	0.156492	−	0.226717i	0.00756431	−	0.0109588i
$429$	−0.298421	−	0.521478i	−0.0144079	−	0.0251772i
$430$	12.1036	−	13.6622i	0.583688	−	0.658848i
$431$	26.7825	−	14.0566i	1.29007	−	0.677080i	0.326667	−	0.945140i	$-0.394075\pi$
$431$	26.7825	−	14.0566i	1.29007	−	0.677080i	0.963402	+	0.268059i	$0.0863823\pi$
$432$	8.18237	−	6.41048i	0.393674	−	0.308424i
$433$	5.39294	+	6.08738i	0.259168	+	0.292541i	0.863664	−	0.504068i	$-0.168164\pi$
$433$	5.39294	+	6.08738i	0.259168	+	0.292541i	−0.604496	+	0.796608i	$0.706625\pi$
$434$	10.7253	−	28.2802i	0.514829	−	1.35749i
$435$	1.26929	+	0.312851i	0.0608577	+	0.0150001i
$436$	−0.454865	+	0.274975i	−0.0217841	+	0.0131689i
$437$	−24.6787	+	17.0345i	−1.18054	+	0.814871i
$438$	6.89080	−	1.26279i	0.329255	−	0.0603382i
$439$	3.55176	−	6.76732i	0.169516	−	0.322986i	−0.785846	−	0.618422i	$-0.787772\pi$
$439$	3.55176	−	6.76732i	0.169516	−	0.322986i	0.955363	+	0.295435i	$0.0954647\pi$
$440$	−7.17247	+	9.87625i	−0.341934	+	0.470832i
$441$	−2.20947	+	0.268278i	−0.105213	+	0.0127752i
$442$	0.179846	+	0.399602i	0.00855441	+	0.0190071i
$443$	37.8499	+	6.93626i	1.79831	+	0.329552i	0.972233	−	0.234013i	$-0.0751858\pi$
$443$	37.8499	+	6.93626i	1.79831	+	0.329552i	0.826072	+	0.563565i	$0.190570\pi$
$444$	0.316779	+	0.248180i	0.0150337	+	0.0117781i
$445$	−0.859203	−	14.2043i	−0.0407301	−	0.673349i
$446$	5.38021	−	8.89996i	0.254760	−	0.421425i
$447$	−1.47601	+	1.47601i	−0.0698129	+	0.0698129i
$448$	−2.24312	−	9.10070i	−0.105977	−	0.429968i
$449$	−14.1704	−	1.72060i	−0.668745	−	0.0812003i	−0.220879	−	0.975301i	$-0.570893\pi$
$449$	−14.1704	−	1.72060i	−0.668745	−	0.0812003i	−0.447866	+	0.894101i	$0.647816\pi$
$450$	−2.72891	−	8.75737i	−0.128642	−	0.412826i
$451$	13.8206	−	16.7956i	0.650786	−	0.790872i
$452$	−1.45912	+	12.0170i	−0.0686315	+	0.565231i
$453$	1.98843	−	0.490105i	0.0934248	−	0.0230271i
$454$	−25.1510	+	25.1510i	−1.18040	+	1.18040i
$455$	−1.27279	+	2.10545i	−0.0596694	+	0.0987052i
$456$	2.37585	−	0.143712i	0.111259	−	0.00672995i
$457$	31.5657	+	24.7302i	1.47658	+	1.15683i	0.952252	+	0.305313i	$0.0987609\pi$
$457$	31.5657	+	24.7302i	1.47658	+	1.15683i	0.524330	+	0.851515i	$0.324316\pi$
$458$	−5.53487	−	1.01430i	−0.258627	−	0.0473952i
$459$	−1.01328	+	0.456041i	−0.0472959	+	0.0212862i
$460$	−1.46067	−	12.0297i	−0.0681043	−	0.560890i
$461$	−14.2982	−	37.7013i	−0.665934	−	1.75592i	−0.654586	−	0.755988i	$-0.727157\pi$
$461$	−14.2982	−	37.7013i	−0.665934	−	1.75592i	−0.0113480	−	0.999936i	$-0.503612\pi$
$462$	0.530948	+	5.46410i	0.0247019	+	0.254213i
$463$	−3.20260	−	17.4760i	−0.148837	−	0.812180i	−0.970298	−	0.241914i	$-0.922225\pi$
$463$	−3.20260	−	17.4760i	−0.148837	−	0.812180i	0.821460	−	0.570266i	$-0.193160\pi$
$464$	−5.81214	−	8.42033i	−0.269822	−	0.390904i
$465$	3.53752	−	2.13851i	0.164049	−	0.0991709i
$466$	21.8315	+	5.38099i	1.01133	+	0.249269i
$467$	−26.9084	−	10.2050i	−1.24517	−	0.472232i	−0.358024	−	0.933713i	$-0.616549\pi$
$467$	−26.9084	−	10.2050i	−1.24517	−	0.472232i	−0.887150	+	0.461480i	$0.847318\pi$
$468$	0.697555	+	0.787377i	0.0322445	+	0.0363965i
$469$	2.17752	−	1.70597i	0.100548	−	0.0787746i
$470$	5.19237	+	9.89323i	0.239506	+	0.456341i
$471$	1.14738	+	1.01649i	0.0528687	+	0.0468376i
$472$	8.96955	+	0.542558i	0.412857	+	0.0249733i
$473$	−20.9323	−	0.501726i	−0.962470	−	0.0230694i
$474$	1.25598	−	2.79066i	0.0576889	−	0.128179i
$475$	1.81321	−	5.81878i	0.0831956	−	0.266984i
$476$		−	1.06752i		−	0.0489297i
$477$	−8.34190	−	19.1627i	−0.381949	−	0.877398i
$478$	−31.6744			−1.44876
$479$	−0.743305	−	0.231623i	−0.0339625	−	0.0105831i	0.280475	−	0.959861i	$-0.409508\pi$
$479$	−0.743305	−	0.231623i	−0.0339625	−	0.0105831i	−0.314437	+	0.949278i	$0.601816\pi$
$480$	−1.01501	+	2.25526i	−0.0463287	+	0.102938i
$481$	0.440795	−	0.638602i	0.0200985	−	0.0291177i
$482$	6.51349	+	0.393993i	0.296681	+	0.0179459i
$483$	7.14224	+	6.32747i	0.324983	+	0.287910i
$484$	−7.97669	+	0.582548i	−0.362577	+	0.0264795i
$485$	−6.34895	+	4.97408i	−0.288291	+	0.225861i
$486$	−11.3153	+	10.0245i	−0.513271	+	0.454719i
$487$	−6.98905	+	18.4286i	−0.316704	+	0.835080i	0.678258	+	0.734824i	$0.262735\pi$
$487$	−6.98905	+	18.4286i	−0.316704	+	0.835080i	−0.994962	+	0.100256i	$0.968034\pi$
$488$	−5.52946	+	22.4339i	−0.250307	+	1.01554i
$489$	−0.263745	−	0.436288i	−0.0119270	−	0.0197296i
$490$	1.84473	−	1.27332i	0.0833362	−	0.0575228i
$491$	1.28784	+	7.02749i	0.0581192	+	0.317146i	0.999813	−	0.0193240i	$-0.00615142\pi$
$491$	1.28784	+	7.02749i	0.0581192	+	0.317146i	−0.941694	+	0.336470i	$0.890767\pi$
$492$	0.796553	−	1.51770i	0.0359114	−	0.0684234i
$493$	0.387849	+	1.02267i	0.0174678	+	0.0460589i
$494$	0.315992	+	2.60243i	0.0142171	+	0.117089i
$495$	8.96313	−	14.0547i	0.402863	−	0.631713i
$496$	−31.8225	−	5.83170i	−1.42887	−	0.261851i
$497$	−8.68084	+	11.0803i	−0.389389	+	0.497018i
$498$	−0.0777513	−	1.28538i	−0.00348412	−	0.0575994i
$499$	2.06212	+	1.24660i	0.0923132	+	0.0558053i	0.562741	−	0.826633i	$-0.309747\pi$
$499$	2.06212	+	1.24660i	0.0923132	+	0.0558053i	−0.470428	+	0.882438i	$0.655901\pi$
$500$	6.24214	+	6.24214i	0.279157	+	0.279157i
$501$	−0.738666	−	2.99689i	−0.0330012	−	0.133891i
$502$	−1.45576	+	11.9893i	−0.0649737	+	0.535107i
$503$	−10.8312	−	34.7584i	−0.482938	−	1.54980i	−0.799161	−	0.601117i	$-0.794722\pi$
$503$	−10.8312	−	34.7584i	−0.482938	−	1.54980i	0.316223	−	0.948685i	$-0.397585\pi$
$504$	5.00610	+	16.0651i	0.222989	+	0.715598i
$505$	28.1460	+	3.41754i	1.25248	+	0.152078i
$506$	−35.5003	+	38.1875i	−1.57818	+	1.69764i
$507$	3.23977	−	3.23977i	0.143883	−	0.143883i
$508$	−12.2340	−	7.39573i	−0.542797	−	0.328132i
$509$	−35.9350	+	2.17366i	−1.59279	+	0.0963460i	−0.832794	−	0.553583i	$-0.813260\pi$
$509$	−35.9350	+	2.17366i	−1.59279	+	0.0963460i	−0.759995	+	0.649929i	$0.774799\pi$
$510$	0.337481	−	0.430763i	0.0149439	−	0.0190745i
$511$	−5.93176	+	32.3686i	−0.262406	+	1.43190i
$512$	−1.23233	+	0.554626i	−0.0544617	+	0.0245112i
$513$	−6.59905	+	0.801270i	−0.291355	+	0.0353769i
$514$	−12.0710	−	31.8287i	−0.532430	−	1.40390i
$515$	6.70209	−	12.7698i	0.295329	−	0.562703i
$516$	−1.62298	+	0.297423i	−0.0714478	+	0.0130933i
$517$	4.83089	−	11.8719i	0.212462	−	0.522126i
$518$	−6.06751	+	3.66794i	−0.266591	+	0.161160i
$519$	1.50992	−	6.12597i	0.0662779	−	0.268900i
$520$	1.73417	+	0.657685i	0.0760485	+	0.0288414i
$521$	−25.5567	+	22.6412i	−1.11966	+	0.991931i	−1.00000		0.000884457i	$-0.999718\pi$
$521$	−25.5567	+	22.6412i	−1.11966	+	0.991931i	−0.119659	+	0.992815i	$0.538180\pi$
$522$	6.07328	+	7.75197i	0.265820	+	0.339295i
$523$	11.1289	+	21.2044i	0.486634	+	0.927204i	0.997708	+	0.0676670i	$0.0215556\pi$
$523$	11.1289	+	21.2044i	0.486634	+	0.927204i	−0.511074	+	0.859537i	$0.670752\pi$
$524$	−6.24957	+	7.05431i	−0.273014	+	0.308169i
$525$	−1.93583	−	0.117096i	−0.0844866	−	0.00511050i
$526$	−16.9120	+	24.5012i	−0.737398	+	1.06830i
$527$	3.15381	+	1.41941i	0.137382	+	0.0618306i
$528$	5.64659	−	1.61217i	0.245736	−	0.0701605i
$529$			67.6246i			2.94020i
$530$	16.4075	+	13.1840i	0.712694	+	0.572677i
$531$	−12.2720			−0.532560
$532$	1.89996	−	6.09717i	0.0823736	−	0.264346i
$533$	−3.01388	−	1.35644i	−0.130546	−	0.0587538i
$534$	−2.74088	+	3.97085i	−0.118609	+	0.171835i
$535$	−0.0400513	+	0.662127i	−0.00173157	+	0.0286262i
$536$	−1.56090	−	1.38283i	−0.0674204	−	0.0597293i
$537$	0.292646	+	0.557591i	0.0126286	+	0.0240618i
$538$	−20.3194	−	25.9358i	−0.876031	−	1.11817i
$539$	−2.48117	−	0.675013i	−0.106872	−	0.0290749i
$540$	0.952592	−	2.51178i	0.0409931	−	0.108090i
$541$	36.2815	+	8.94260i	1.55987	+	0.384472i	0.922471	−	0.386066i	$-0.126166\pi$
$541$	36.2815	+	8.94260i	1.55987	+	0.384472i	0.637394	+	0.770538i	$0.280012\pi$
$542$	−23.7934	−	39.3592i	−1.02202	−	1.69062i
$543$	1.85538	+	2.68798i	0.0796220	+	0.115352i
$544$	−2.03530	+	0.372983i	−0.0872628	+	0.0159915i
$545$	0.594778	−	1.13325i	0.0254775	−	0.0485433i
$546$	0.779975	−	0.295805i	0.0333798	−	0.0126593i
$547$	−3.45351	−	28.4422i	−0.147661	−	1.21610i	−0.858525	−	0.512771i	$-0.828619\pi$
$547$	−3.45351	−	28.4422i	−0.147661	−	1.21610i	0.710864	−	0.703330i	$-0.248304\pi$
$548$	7.05901	−	3.17700i	0.301546	−	0.135715i
$549$	5.68789	−	31.0378i	0.242753	−	1.32466i
$550$	0.893130	−	10.5595i	0.0380832	−	0.450260i
$551$	0.395073	+	6.53133i	0.0168307	+	0.278244i
$552$	3.72135	−	6.15587i	0.158391	−	0.262011i
$553$	10.1648	+	10.1648i	0.432252	+	0.432252i
$554$	−22.8386	+	5.62922i	−0.970321	+	0.239163i
$555$	−0.961929	−	0.116799i	−0.0408316	−	0.00495785i
$556$	−1.37338	−	4.40732i	−0.0582441	−	0.186912i
$557$	−6.32483	+	1.97090i	−0.267992	+	0.0835096i	−0.428554	−	0.903516i	$-0.640977\pi$
$557$	−6.32483	+	1.97090i	−0.267992	+	0.0835096i	0.160562	+	0.987026i	$0.448669\pi$
$558$	30.9121	+	3.75340i	1.30861	+	0.158894i
$559$	0.761406	+	3.08914i	0.0322040	+	0.130657i
$560$	−17.0028	−	17.0028i	−0.718501	−	0.718501i
$561$	−0.627328	+	0.0228768i	−0.0264858	+	0.000965860i
$562$	41.3654	−	2.50215i	1.74490	−	0.105547i
$563$	31.3443	+	24.5567i	1.32101	+	1.03494i	0.996011	+	0.0892254i	$0.0284392\pi$
$563$	31.3443	+	24.5567i	1.32101	+	1.03494i	0.324994	+	0.945716i	$0.394638\pi$
$564$	0.182064	−	0.993490i	0.00766627	−	0.0418335i
$565$	−11.9629	−	26.5804i	−0.503281	−	1.11824i
$566$	−5.34953	−	44.0574i	−0.224858	−	1.85187i
$567$	−7.76571	−	20.4765i	−0.326129	−	0.859932i
$568$	9.39575	+	4.93127i	0.394237	+	0.206912i
$569$	−19.2502	+	3.52773i	−0.807011	+	0.147890i	−0.567895	−	0.823101i	$-0.692242\pi$
$569$	−19.2502	+	3.52773i	−0.807011	+	0.147890i	−0.239116	+	0.970991i	$0.576858\pi$
$570$	2.69420	−	1.85967i	0.112848	−	0.0778931i
$571$	−15.4499	−	25.5573i	−0.646560	−	1.06954i	−0.991398	−	0.130879i	$-0.958220\pi$
$571$	−15.4499	−	25.5573i	−0.646560	−	1.06954i	0.344838	−	0.938662i	$-0.387934\pi$
$572$	0.403596	+	1.14632i	0.0168752	+	0.0479299i
$573$	−2.62345	−	0.994944i	−0.109596	−	0.0415644i
$574$	20.0254	+	22.6040i	0.835845	+	0.943474i
$575$	−11.3595	−	14.4993i	−0.473722	−	0.604661i
$576$	8.54458	−	4.48454i	0.356024	−	0.186856i
$577$	13.0664	+	11.5759i	0.543963	+	0.481909i	0.889778	−	0.456393i	$-0.150859\pi$
$577$	13.0664	+	11.5759i	0.543963	+	0.481909i	−0.345815	+	0.938303i	$0.612397\pi$
$578$	−27.5654	−	1.66740i	−1.14657	−	0.0693546i
$579$	−1.15313	−	0.795951i	−0.0479226	−	0.0330786i
$580$	−2.41126	−	1.08522i	−0.100122	−	0.0450614i
$581$	5.77505	+	1.79958i	0.239590	+	0.0746591i
$582$	2.73466			0.113355
$583$	−0.582418	−	24.1384i	−0.0241213	−	0.999709i
$584$	24.8077			1.02655
$585$	−2.41825	−	0.753558i	−0.0999825	−	0.0311558i
$586$	−41.9285	−	18.8705i	−1.73205	−	0.779532i
$587$	18.0934	+	12.4890i	0.746795	+	0.515475i	0.879628	−	0.475663i	$-0.157792\pi$
$587$	18.0934	+	12.4890i	0.746795	+	0.515475i	−0.132832	+	0.991139i	$0.542407\pi$
$588$	−0.202261	−	0.0122345i	−0.00834111	−	0.000504544i
$589$	15.4868	+	13.7201i	0.638123	+	0.565328i
$590$	10.9435	−	5.74361i	0.450538	−	0.236461i
$591$	−1.11782	−	1.42679i	−0.0459809	−	0.0586902i
$592$	5.02905	+	5.67662i	0.206693	+	0.233308i
$593$	19.5058	+	7.39759i	0.801009	+	0.303782i	0.720932	−	0.693006i	$-0.243714\pi$
$593$	19.5058	+	7.39759i	0.801009	+	0.303782i	0.0800769	+	0.996789i	$0.474483\pi$
$594$	−10.9024	+	3.83852i	−0.447330	+	0.157496i
$595$	1.32981	+	2.19978i	0.0545170	+	0.0901821i
$596$	3.47477	−	2.39846i	0.142332	−	0.0982448i
$597$	−5.18404	+	0.950010i	−0.212169	+	0.0388813i
$598$	7.01517	+	3.68185i	0.286872	+	0.150562i
$599$	3.26062	+	8.59755i	0.133225	+	0.351286i	0.984983	−	0.172649i	$-0.0552326\pi$
$599$	3.26062	+	8.59755i	0.133225	+	0.351286i	−0.851758	+	0.523935i	$0.824463\pi$
$600$	0.176226	+	1.45135i	0.00719440	+	0.0592512i
$601$	−6.84149	−	15.2012i	−0.279070	−	0.620068i	0.718043	−	0.695999i	$-0.245038\pi$
$601$	−6.84149	−	15.2012i	−0.279070	−	0.620068i	−0.997113	+	0.0759304i	$0.975807\pi$
$602$	5.24012	−	28.5944i	0.213571	−	1.16542i
$603$	2.24184	+	1.75637i	0.0912946	+	0.0715248i
$604$	−4.13481	+	0.250110i	−0.168243	+	0.0101768i
$605$	15.7115	−	11.1370i	0.638762	−	0.452784i
$606$	−6.79763	−	6.79763i	−0.276135	−	0.276135i
$607$	0.0658050	+	0.266981i	0.00267094	+	0.0108364i	0.972262	−	0.233894i	$-0.0751468\pi$
$607$	0.0658050	+	0.266981i	0.00267094	+	0.0108364i	−0.969591	+	0.244730i	$0.921301\pi$
$608$	−12.2885	−	1.49210i	−0.498366	−	0.0605125i
$609$	1.98781	−	0.619428i	0.0805503	−	0.0251005i
$610$	9.45431	+	30.3399i	0.382794	+	1.22843i
$611$	−1.93338	−	0.234754i	−0.0782160	−	0.00949715i
$612$	1.06712	−	0.263020i	0.0431356	−	0.0106320i
$613$	−19.9640	−	19.9640i	−0.806340	−	0.806340i	0.177738	−	0.984078i	$-0.443122\pi$
$613$	−19.9640	−	19.9640i	−0.806340	−	0.806340i	−0.984078	+	0.177738i	$0.943122\pi$
$614$	−15.5588	+	25.7375i	−0.627904	+	1.03868i
$615$	0.249197	+	4.11972i	0.0100486	+	0.166123i
$616$	−1.63842	+	19.3712i	−0.0660138	+	0.780486i
$617$	−4.82061	+	26.3052i	−0.194071	+	1.05901i	0.731900	+	0.681413i	$0.238634\pi$
$617$	−4.82061	+	26.3052i	−0.194071	+	1.05901i	−0.925970	+	0.377597i	$0.876751\pi$
$618$	−4.45904	+	2.00685i	−0.179369	+	0.0807273i
$619$	−5.09474	−	41.9589i	−0.204775	−	1.68647i	−0.626242	−	0.779629i	$-0.715408\pi$
$619$	−5.09474	−	41.9589i	−0.204775	−	1.68647i	0.421467	−	0.906844i	$-0.361515\pi$
$620$	−7.81783	+	2.96491i	−0.313972	+	0.119074i
$621$	−9.33617	+	17.7886i	−0.374647	+	0.713831i
$622$	−3.26808	+	0.598899i	−0.131038	+	0.0240136i
$623$	−12.8749	−	18.6525i	−0.515822	−	0.747297i
$624$	−0.461615	−	0.763604i	−0.0184794	−	0.0305686i
$625$	−11.2456	−	2.77178i	−0.449822	−	0.110871i
$626$	1.62570	−	4.28661i	0.0649759	−	0.171327i
$627$	−3.62372	−	0.985848i	−0.144718	−	0.0393710i
$628$	−1.91218	−	2.44072i	−0.0763042	−	0.0973952i
$629$	−0.376761	−	0.717859i	−0.0150225	−	0.0286229i
$630$	17.3234	+	15.3472i	0.690180	+	0.611446i
$631$	−2.33544	+	38.6094i	−0.0929723	+	1.53702i	0.590499	+	0.807038i	$0.298931\pi$
$631$	−2.33544	+	38.6094i	−0.0929723	+	1.53702i	−0.683471	+	0.729977i	$0.739531\pi$
$632$	6.15606	−	8.91859i	0.244875	−	0.354763i
$633$	1.38891	+	0.625098i	0.0552043	+	0.0248454i
$634$	5.33056	−	17.1064i	0.211703	−	0.679380i
$635$	34.4229			1.36603
$636$	−0.432546	−	1.85292i	−0.0171516	−	0.0734729i
$637$			0.390719i			0.0154808i
$638$	3.12348	+	10.9399i	0.123660	+	0.433117i
$639$	−13.2149	−	5.94754i	−0.522773	−	0.235281i
$640$	−13.3374	+	19.3226i	−0.527208	+	0.763792i
$641$	−19.1378	−	1.15762i	−0.755896	−	0.0457233i	−0.322065	−	0.946718i	$-0.604377\pi$
$641$	−19.1378	−	1.15762i	−0.755896	−	0.0457233i	−0.433831	+	0.900994i	$0.642838\pi$
$642$	0.149144	−	0.168349i	0.00588625	−	0.00664420i
$643$	12.7066	+	24.2104i	0.501100	+	0.954766i	0.996296	+	0.0859849i	$0.0274037\pi$
$643$	12.7066	+	24.2104i	0.501100	+	0.954766i	−0.495197	+	0.868781i	$0.664904\pi$
$644$	−11.9029	−	15.1930i	−0.469041	−	0.598687i
$645$	2.97389	−	2.63464i	0.117097	−	0.103739i
$646$	2.56100	+	0.971258i	0.100761	+	0.0382136i
$647$	−0.437147	+	1.77358i	−0.0171860	+	0.0697265i	−0.978909	−	0.204298i	$-0.934509\pi$
$647$	−0.437147	+	1.77358i	−0.0171860	+	0.0697265i	0.961723	+	0.274025i	$0.0883550\pi$
$648$	−14.1283	+	8.54085i	−0.555012	+	0.335516i
$649$	−13.1323	−	5.34376i	−0.515487	−	0.209761i
$650$	−1.58388	+	0.290257i	−0.0621249	+	0.0113848i
$651$	3.05959	−	5.82956i	0.119915	−	0.228479i
$652$	0.365667	+	0.964184i	0.0143206	+	0.0377604i
$653$	−24.2745	+	2.94746i	−0.949934	+	0.115343i	−0.580812	−	0.814038i	$-0.697265\pi$
$653$	−24.2745	+	2.94746i	−0.949934	+	0.115343i	−0.369123	+	0.929381i	$0.620342\pi$
$654$	−0.395718	+	0.178098i	−0.0154738	+	0.00696419i
$655$	4.09057	−	22.3215i	0.159832	−	0.872175i
$656$	19.9214	−	25.4277i	0.777798	−	0.992786i
$657$	−33.8178	+	2.04560i	−1.31936	+	0.0798065i
$658$	15.2288	+	9.20614i	0.593681	+	0.358893i
$659$	−11.8082	+	11.8082i	−0.459983	+	0.459983i	−0.898650	−	0.438667i	$-0.855451\pi$
$659$	−11.8082	+	11.8082i	−0.459983	+	0.459983i	0.438667	+	0.898650i	$0.355451\pi$
$660$	1.03330	−	1.11151i	0.0402211	−	0.0432656i
$661$	−25.0684	−	3.04386i	−0.975048	−	0.118392i	−0.382524	−	0.923945i	$-0.624945\pi$
$661$	−25.0684	−	3.04386i	−0.975048	−	0.118392i	−0.592524	+	0.805553i	$0.701868\pi$
$662$	10.1819	+	32.6749i	0.395731	+	1.26994i
$663$	0.0283777	+	0.0910672i	0.00110210	+	0.00353676i
$664$	0.549653	−	4.52680i	0.0213307	−	0.175674i
$665$	3.68014	+	14.9309i	0.142710	+	0.578995i
$666$	−5.16149	−	5.16149i	−0.200004	−	0.200004i
$667$	16.9228	+	10.2302i	0.655253	+	0.396114i
$668$	0.376955	+	6.23181i	0.0145848	+	0.241116i
$669$	1.39610	−	1.78200i	0.0539765	−	0.0688960i
$670$	−2.82117	−	0.516999i	−0.108991	−	0.0199734i
$671$	19.6018	−	30.7368i	0.756719	−	1.18658i
$672$	0.474790	+	3.91025i	0.0183154	+	0.150841i
$673$	−0.826294	−	2.17876i	−0.0318513	−	0.0839850i	0.918147	−	0.396240i	$-0.129685\pi$
$673$	−0.826294	−	2.17876i	−0.0318513	−	0.0839850i	−0.949998	+	0.312255i	$0.898916\pi$
$674$	20.6478	−	39.3411i	0.795324	−	1.51536i
$675$	−0.736013	−	4.01630i	−0.0283292	−	0.154587i
$676$	−7.62696	+	5.26451i	−0.293344	+	0.202481i
$677$	17.4290	+	28.8312i	0.669853	+	1.10807i	0.987158	+	0.159748i	$0.0510683\pi$
$677$	17.4290	+	28.8312i	0.669853	+	1.10807i	−0.317305	+	0.948324i	$0.602778\pi$
$678$	−2.36517	+	9.59589i	−0.0908340	+	0.368528i
$679$	−4.55515	+	12.0109i	−0.174811	+	0.460938i
$680$	1.45046	−	1.28499i	0.0556225	−	0.0492772i
$681$	−6.09470	+	4.77489i	−0.233549	+	0.182974i
$682$	31.4446	+	17.4769i	1.20408	+	0.669226i
$683$	19.3925	+	17.1802i	0.742032	+	0.657383i	0.946944	−	0.321398i	$-0.104153\pi$
$683$	19.3925	+	17.1802i	0.742032	+	0.657383i	−0.204913	+	0.978780i	$0.565691\pi$
$684$	6.56299	+	0.396988i	0.250942	+	0.0151792i
$685$	−10.5885	+	15.3401i	−0.404566	+	0.586115i
$686$	−11.7638	+	26.1381i	−0.449144	+	0.997957i
$687$	−1.16940	−	0.364399i	−0.0446153	−	0.0139027i
$688$	−31.0955			−1.18551
$689$	−3.51597	+	1.04825i	−0.133948	+	0.0399351i
$690$		−	9.89358i		−	0.376642i
$691$	5.45214	−	17.4965i	0.207409	−	0.665599i	−0.791134	−	0.611643i	$-0.790509\pi$
$691$	5.45214	−	17.4965i	0.207409	−	0.665599i	0.998543	−	0.0539566i	$-0.0171833\pi$
$692$	−5.23761	+	11.6375i	−0.199104	+	0.442391i
$693$	0.636179	−	26.5418i	0.0241664	−	1.00824i
$694$	37.6801	+	2.27923i	1.43032	+	0.0865182i
$695$	8.32025	+	7.37110i	0.315605	+	0.279602i
$696$	−0.729431	−	1.38981i	−0.0276490	−	0.0526808i
$697$	−2.71824	+	2.12961i	−0.102961	+	0.0806646i
$698$	−36.0025	−	40.6384i	−1.36271	−	1.53819i
$699$	4.57631	+	1.73557i	0.173092	+	0.0656451i
$700$	3.80876	+	0.938776i	0.143958	+	0.0354824i
$701$	35.2329	−	21.2990i	1.33073	−	0.804453i	0.340014	−	0.940420i	$-0.389568\pi$
$701$	35.2329	−	21.2990i	1.33073	−	0.804453i	0.990713	+	0.135968i	$0.0434143\pi$
$702$	0.997693	+	1.44541i	0.0376555	+	0.0545534i
$703$	−0.874251	−	4.77063i	−0.0329730	−	0.179928i
$704$	11.0963	−	1.07823i	0.418208	−	0.0406374i
$705$	0.862425	+	2.27403i	0.0324808	+	0.0856448i
$706$	−4.43864	−	36.5555i	−0.167050	−	1.37578i
$707$	41.1788	−	18.5331i	1.54869	−	0.697008i
$708$	−1.09896	−	0.201392i	−0.0413015	−	0.00756879i
$709$	5.84414	+	4.57859i	0.219481	+	0.171953i	0.720437	−	0.693520i	$-0.243941\pi$
$709$	5.84414	+	4.57859i	0.219481	+	0.171953i	−0.500956	+	0.865473i	$0.667018\pi$
$710$	14.5679	−	0.881198i	0.546725	−	0.0330708i
$711$	−7.65652	+	12.6654i	−0.287142	+	0.474991i
$712$	−12.0815	+	12.0815i	−0.452774	+	0.452774i
$713$	60.7117	−	14.9641i	2.27367	−	0.560409i
$714$	0.105054	−	0.865200i	0.00393156	−	0.0323793i
$715$	−2.25964	−	1.85939i	−0.0845058	−	0.0695373i
$716$	−0.378940	−	1.21606i	−0.0141617	−	0.0454464i
$717$	−6.84442	−	0.831063i	−0.255609	−	0.0310366i
$718$	3.36508	+	13.6527i	0.125584	+	0.509514i
$719$	31.3721	−	31.3721i	1.16998	−	1.16998i	0.187769	−	0.982213i	$-0.439874\pi$
$719$	31.3721	−	31.3721i	1.16998	−	1.16998i	0.982213	−	0.187769i	$-0.0601256\pi$
$720$	12.8072	−	21.1856i	0.477295	−	0.789542i
$721$	−1.38685	−	22.9274i	−0.0516491	−	0.853861i
$722$	−11.8004	−	9.24501i	−0.439165	−	0.344064i
$723$	1.39714	+	0.256035i	0.0519601	+	0.00952205i
$724$	−2.71135	−	6.02438i	−0.100767	−	0.223894i
$725$	−3.98984	+	0.484454i	−0.148179	+	0.0179922i
$726$	−6.52226	−	0.312843i	−0.242064	−	0.0116107i
$727$	−10.3854	+	19.7877i	−0.385172	+	0.733883i	−0.998431	−	0.0559983i	$-0.982166\pi$
$727$	−10.3854	+	19.7877i	−0.385172	+	0.733883i	0.613259	+	0.789882i	$0.289858\pi$
$728$	2.90558	−	0.532468i	0.107688	−	0.0197346i
$729$	16.6825	−	11.5151i	0.617870	−	0.426485i
$730$	29.1995	−	17.6517i	1.08072	−	0.653320i
$731$	3.22754	+	0.795517i	0.119375	+	0.0294233i
$732$	1.01870	−	2.68610i	0.0376524	−	0.0992811i
$733$	16.7217	+	18.8749i	0.617630	+	0.697160i	0.971205	−	0.238246i	$-0.0765725\pi$
$733$	16.7217	+	18.8749i	0.617630	+	0.697160i	−0.353575	+	0.935406i	$0.615034\pi$
$734$	12.8608	−	10.0758i	0.474701	−	0.371904i
$735$	0.432029	−	0.226746i	0.0159356	−	0.00836367i
$736$	−24.8077	+	28.0021i	−0.914424	+	1.03217i
$737$	1.63419	+	2.85568i	0.0601962	+	0.105190i
$738$	−17.6615	+	25.5871i	−0.650129	+	0.941875i
$739$	27.1033	+	12.1982i	0.997012	+	0.448719i	0.842165	−	0.539220i	$-0.181281\pi$
$739$	27.1033	+	12.1982i	0.997012	+	0.448719i	0.154847	+	0.987938i	$0.450512\pi$
$740$	1.87123	+	0.583100i	0.0687879	+	0.0214352i
$741$			0.570640i			0.0209630i
$742$	33.2265	+	4.45070i	1.21978	+	0.163390i
$743$			45.4122i			1.66601i	0.553263	+	0.833007i	$0.313382\pi$
$743$			45.4122i			1.66601i	−0.553263	+	0.833007i	$0.686618\pi$
$744$	−4.73844	−	1.47656i	−0.173720	−	0.0541333i
$745$	−4.17250	+	9.27091i	−0.152869	+	0.339660i
$746$	7.91764	+	5.46515i	0.289885	+	0.200093i
$747$	−0.376014	+	6.21625i	−0.0137576	+	0.227441i
$748$	1.25645	+	0.183210i	0.0459403	+	0.00669880i
$749$	0.490977	+	0.935478i	0.0179399	+	0.0341816i
$750$	4.44482	+	5.67340i	0.162302	+	0.207163i
$751$	−8.57305	−	9.67698i	−0.312835	−	0.353118i	0.570972	−	0.820970i	$-0.306567\pi$
$751$	−8.57305	−	9.67698i	−0.312835	−	0.353118i	−0.883807	+	0.467852i	$0.845028\pi$
$752$	6.74982	−	17.7978i	0.246141	−	0.649020i
$753$	−0.629140	+	2.55252i	−0.0229271	+	0.0930190i
$754$	1.47944	−	0.894352i	0.0538780	−	0.0325704i
$755$	8.20882	−	5.66614i	0.298749	−	0.206212i
$756$	−0.771227	−	4.20845i	−0.0280493	−	0.153060i
$757$	−13.3170	−	6.98930i	−0.484015	−	0.254031i	0.205021	−	0.978757i	$-0.434274\pi$
$757$	−13.3170	−	6.98930i	−0.484015	−	0.254031i	−0.689036	+	0.724727i	$0.741966\pi$
$758$	55.6892	−	21.1201i	2.02272	−	0.767117i
$759$	−8.67308	+	7.32035i	−0.314813	+	0.265712i
$760$	10.5713	−	4.75778i	0.383463	−	0.172583i
$761$	−6.13164	+	33.4593i	−0.222272	+	1.21290i	0.663285	+	0.748367i	$0.269162\pi$
$761$	−6.13164	+	33.4593i	−0.222272	+	1.21290i	−0.885557	+	0.464531i	$0.846223\pi$
$762$	−9.18759	−	7.19801i	−0.332831	−	0.260757i
$763$	−0.123076	−	2.03470i	−0.00445567	−	0.0736610i
$764$	4.85676	+	2.93602i	0.175712	+	0.106221i
$765$	−1.87130	+	1.87130i	−0.0676570	+	0.0676570i
$766$	10.5546	+	42.8217i	0.381353	+	1.54721i
$767$	−0.259677	+	2.13863i	−0.00937639	+	0.0772215i
$768$	5.29307	−	1.64939i	0.190997	−	0.0595171i
$769$	0.650376	−	0.202665i	0.0234532	−	0.00730830i	−0.285754	−	0.958303i	$-0.592244\pi$
$769$	0.650376	−	0.202665i	0.0234532	−	0.00730830i	0.309207	+	0.950995i	$0.399936\pi$
$770$	11.8549	+	23.9663i	0.427222	+	0.863687i
$771$	−1.77328	−	7.19446i	−0.0638630	−	0.259102i
$772$	2.00403	+	2.00403i	0.0721265	+	0.0721265i
$773$	−18.4398	+	30.5031i	−0.663232	+	1.09712i	0.325227	+	0.945636i	$0.394559\pi$
$773$	−18.4398	+	30.5031i	−0.663232	+	1.09712i	−0.988460	+	0.151484i	$0.951595\pi$
$774$	29.8747	−	1.80709i	1.07382	−	0.0649543i
$775$	−7.83773	+	10.0041i	−0.281539	+	0.359359i
$776$	9.52523	+	1.74556i	0.341936	+	0.0626621i
$777$	−1.40734	+	0.633394i	−0.0504882	+	0.0227229i
$778$	−33.0747	+	4.01600i	−1.18579	+	0.143981i
$779$	−19.3156	+	7.32543i	−0.692052	+	0.262461i
$780$	−0.204189	−	0.107167i	−0.00731113	−	0.00383718i
$781$	−11.5514	−	12.1188i	−0.413343	−	0.433644i
$782$	6.81233	−	4.70221i	0.243608	−	0.168151i
$783$	2.26784	+	3.75146i	0.0810458	+	0.134066i
$784$	−3.70775	−	0.913878i	−0.132420	−	0.0326385i
$785$	6.98073	+	2.64744i	0.249153	+	0.0944913i
$786$	−5.75935	+	5.10234i	−0.205429	+	0.181994i
$787$	39.7418	−	31.1357i	1.41664	−	1.10987i	0.439267	−	0.898356i	$-0.355238\pi$
$787$	39.7418	−	31.1357i	1.41664	−	1.10987i	0.977375	−	0.211512i	$-0.0678388\pi$
$788$	1.70376	+	3.24624i	0.0606939	+	0.115643i
$789$	−4.29730	+	4.85065i	−0.152988	+	0.172688i
$790$	0.899941	−	14.8778i	0.0320184	−	0.529328i
$791$	−38.2065	−	26.3721i	−1.35847	−	0.937682i
$792$	−19.7675	+	3.13495i	−0.702408	+	0.111396i
$793$	−5.28857	−	1.64798i	−0.187803	−	0.0585216i
$794$	−21.5535			−0.764907
$795$	3.19951	+	3.27938i	0.113475	+	0.116308i
$796$	10.6603			0.377846
$797$	7.39220	−	23.7224i	0.261845	−	0.840291i	−0.726381	−	0.687292i	$-0.758799\pi$
$797$	7.39220	−	23.7224i	0.261845	−	0.840291i	0.988226	−	0.152999i	$-0.0488931\pi$
$798$	2.13989	−	4.75465i	0.0757514	−	0.168313i
$799$	−1.15591	+	1.67463i	−0.0408933	+	0.0592442i
$800$	0.459091	−	7.58968i	0.0162313	−	0.268336i
$801$	15.4733	−	17.4657i	0.546721	−	0.617121i
$802$	−11.8438	+	6.21612i	−0.418220	+	0.219499i
$803$	−37.0792	−	12.5367i	−1.30850	−	0.442411i
$804$	0.171934	+	0.194073i	0.00606364	+	0.00684443i
$805$	43.4537	+	16.4798i	1.53154	+	0.580837i
$806$	1.30820	−	5.30759i	0.0460795	−	0.186952i
$807$	−3.71025	−	6.13751i	−0.130607	−	0.216050i
$808$	−19.3381	−	28.0161i	−0.680314	−	0.985604i
$809$	5.41681	+	29.5586i	0.190445	+	1.03922i	0.930394	+	0.366562i	$0.119465\pi$
$809$	5.41681	+	29.5586i	0.190445	+	1.03922i	−0.739949	+	0.672663i	$0.765150\pi$
$810$	−10.5523	+	20.1058i	−0.370771	+	0.706444i
$811$	−2.95273	+	1.11982i	−0.103684	+	0.0393223i	−0.405902	−	0.913917i	$-0.633042\pi$
$811$	−2.95273	+	1.11982i	−0.103684	+	0.0393223i	0.302217	+	0.953239i	$0.402273\pi$
$812$	−4.18073	+	0.507632i	−0.146715	+	0.0178144i
$813$	−4.10875	−	9.12926i	−0.144100	−	0.320177i
$814$	−3.27578	−	7.77084i	−0.114816	−	0.272368i
$815$	−1.95460	−	1.53133i	−0.0684666	−	0.0536401i
$816$	−0.930563	+	0.0562887i	−0.0325762	+	0.00197050i
$817$	17.0184	+	10.2880i	0.595397	+	0.359930i
$818$	5.07131	+	5.07131i	0.177314	+	0.177314i
$819$	−3.91698	+	0.965448i	−0.136870	+	0.0337355i
$820$	1.00626	−	8.28730i	0.0351401	−	0.289405i
$821$	−0.804797	−	2.58268i	−0.0280876	−	0.0901363i	0.939613	−	0.342240i	$-0.111185\pi$
$821$	−0.804797	−	2.58268i	−0.0280876	−	0.0901363i	−0.967700	+	0.252103i	$0.918878\pi$
$822$	6.03381	−	1.88021i	0.210453	−	0.0655799i
$823$	−6.67652	+	54.9861i	−0.232729	+	1.91669i	0.142560	+	0.989786i	$0.454467\pi$
$823$	−6.67652	+	54.9861i	−0.232729	+	1.91669i	−0.375288	+	0.926908i	$0.622456\pi$
$824$	−16.8125	+	4.14390i	−0.585690	+	0.144360i
$825$	0.470051	−	2.25834i	0.0163651	−	0.0786253i
$826$	10.1835	−	16.8456i	0.354329	−	0.586132i
$827$	0.808654	+	13.3686i	0.0281196	+	0.464873i	0.984795	+	0.173718i	$0.0555781\pi$
$827$	0.808654	+	13.3686i	0.0281196	+	0.464873i	−0.956676	+	0.291155i	$0.905960\pi$
$828$	12.2545	−	15.6417i	0.425874	−	0.543588i
$829$	7.76418	−	42.3677i	0.269661	−	1.47149i	−0.517998	−	0.855382i	$-0.673323\pi$
$829$	7.76418	−	42.3677i	0.269661	−	1.47149i	0.787659	−	0.616111i	$-0.211293\pi$
$830$	−2.57405	−	5.71931i	−0.0893466	−	0.198520i
$831$	−5.08282	+	0.617166i	−0.176321	+	0.0214092i
$832$	−0.600712	−	1.58395i	−0.0208260	−	0.0549135i
$833$	0.361463	+	0.189711i	0.0125240	+	0.00657308i
$834$	−0.679367	−	3.70718i	−0.0235245	−	0.128369i
$835$	−8.53976	−	12.3720i	−0.295531	−	0.428150i
$836$	6.85018	+	3.28262i	0.236919	+	0.113532i
$837$	13.4586	+	3.31725i	0.465198	+	0.114661i
$838$	−5.43204	+	14.3231i	−0.187647	+	0.494784i
$839$	−1.91789	+	1.69910i	−0.0662128	+	0.0586594i	−0.695580	−	0.718449i	$-0.744853\pi$
$839$	−1.91789	+	1.69910i	−0.0662128	+	0.0586594i	0.629367	+	0.777108i	$0.283314\pi$
$840$	−2.27497	−	2.90378i	−0.0784938	−	0.100190i
$841$	−21.8576	+	11.4717i	−0.753709	+	0.395577i
$842$	−4.37797	+	4.94170i	−0.150875	+	0.170302i
$843$	9.00416	+	0.544651i	0.310120	+	0.0187588i
$844$	−2.53542	−	1.75007i	−0.0872726	−	0.0602399i
$845$	9.15844	−	20.3492i	0.315060	−	0.700034i
$846$	−5.45051	+	17.4913i	−0.187392	+	0.601364i
$847$	12.2382	−	28.1254i	0.420510	−	0.966399i
$848$	−1.72369	−	35.8169i	−0.0591917	−	1.22996i
$849$		−	9.66056i		−	0.331550i
$850$	−0.500518	+	1.60622i	−0.0171676	+	0.0550929i
$851$	−13.3663	−	6.01567i	−0.458190	−	0.206215i
$852$	−1.08579	−	0.749470i	−0.0371987	−	0.0256764i
$853$	−0.885304	+	14.6358i	−0.0303122	+	0.501121i	0.951060	+	0.309006i	$0.0999962\pi$
$853$	−0.885304	+	14.6358i	−0.0303122	+	0.501121i	−0.981372	+	0.192115i	$0.938465\pi$
$854$	37.8851	+	33.5633i	1.29640	+	1.14851i
$855$	−14.0185	+	7.35749i	−0.479423	+	0.251621i
$856$	0.626950	−	0.491184i	0.0214287	−	0.0167883i
$857$	−22.7156	+	20.1243i	−0.775951	+	0.687433i	−0.955065	−	0.296395i	$-0.904215\pi$
$857$	−22.7156	+	20.1243i	−0.775951	+	0.687433i	0.179114	+	0.983828i	$0.442677\pi$
$858$	0.214297	+	0.968782i	0.00731597	+	0.0330737i
$859$	2.62505	−	10.6503i	0.0895656	−	0.363382i	−0.909008	−	0.416779i	$-0.863159\pi$
$859$	2.62505	−	10.6503i	0.0895656	−	0.363382i	0.998573	+	0.0533973i	$0.0170050\pi$
$860$	−6.87734	+	4.15749i	−0.234515	+	0.141769i
$861$	3.73414	+	5.40984i	0.127259	+	0.184367i
$862$	−49.1316	+	9.00371i	−1.67343	+	0.306667i
$863$	−3.19426	−	1.67648i	−0.108734	−	0.0570679i	0.409479	−	0.912319i	$-0.365710\pi$
$863$	−3.19426	−	1.67648i	−0.108734	−	0.0570679i	−0.518213	+	0.855251i	$0.673403\pi$
$864$	−7.75425	+	2.94080i	−0.263805	+	0.100048i
$865$	−3.70401	−	30.5052i	−0.125940	−	1.03721i
$866$	−5.51191	−	12.2470i	−0.187302	−	0.416169i
$867$	−5.91276	−	1.08355i	−0.200808	−	0.0367994i
$868$	−8.21271	+	10.4828i	−0.278758	+	0.355808i
$869$	−13.7083	+	10.2193i	−0.465022	+	0.346666i
$870$	−1.84748	−	1.11684i	−0.0626353	−	0.0378644i
$871$	0.353517	−	0.353517i	0.0119785	−	0.0119785i
$872$	−1.49203	+	0.367751i	−0.0505264	+	0.0124536i
$873$	−13.1287	−	1.59412i	−0.444340	−	0.0539526i
$874$	47.2778	−	14.7324i	1.59920	−	0.498330i
$875$	−32.3220	+	10.0719i	−1.09268	+	0.340493i
$876$	−3.06196	−	0.371790i	−0.103454	−	0.0125616i
$877$	−22.9256	+	5.65066i	−0.774144	+	0.190809i	−0.606548	−	0.795046i	$-0.707446\pi$
$877$	−22.9256	+	5.65066i	−0.774144	+	0.190809i	−0.167595	+	0.985856i	$0.553600\pi$
$878$	−8.92450	+	8.92450i	−0.301187	+	0.301187i
$879$	−8.56505	−	5.17776i	−0.288892	−	0.174641i
$880$	22.9301	−	17.0939i	0.772972	−	0.576237i
$881$	−31.1976	+	39.8209i	−1.05108	+	1.34160i	−0.113608	+	0.993526i	$0.536241\pi$
$881$	−31.1976	+	39.8209i	−1.05108	+	1.34160i	−0.937467	+	0.348073i	$0.886836\pi$
$882$	3.61529	+	0.662526i	0.121733	+	0.0223084i
$883$	−14.4981	−	32.2135i	−0.487901	−	1.08407i	−0.977271	−	0.211995i	$-0.932004\pi$
$883$	−14.4981	−	32.2135i	−0.487901	−	1.08407i	0.489370	−	0.872076i	$-0.337227\pi$
$884$	−0.0232560	−	0.191531i	−0.000782184	−	0.00644187i
$885$	2.51545	−	0.953983i	0.0845558	−	0.0320678i
$886$	−56.2671	−	29.5312i	−1.89033	−	0.992121i
$887$	4.86777	−	0.892051i	0.163444	−	0.0299522i	−0.0979100	−	0.995195i	$-0.531216\pi$
$887$	4.86777	−	0.892051i	0.163444	−	0.0299522i	0.261354	+	0.965243i	$0.415831\pi$
$888$	0.660909	+	0.957492i	0.0221786	+	0.0321313i
$889$	46.9183	−	28.3631i	1.57359	−	0.951268i
$890$	−5.62385	+	22.8169i	−0.188512	+	0.764823i
$891$	25.4332	−	5.62588i	0.852045	−	0.188474i
$892$	−3.42736	+	3.03637i	−0.114756	+	0.101665i
$893$	−9.58253	+	7.50743i	−0.320667	+	0.251227i
$894$	3.05225	−	1.60195i	0.102083	−	0.0535771i
$895$	2.29572	+	2.03383i	0.0767373	+	0.0679833i
$896$	−2.25782	+	37.3262i	−0.0754284	+	1.24698i
$897$	1.41928	+	0.979658i	0.0473884	+	0.0327098i
$898$	21.4960	+	9.67457i	0.717332	+	0.322845i
$899$	4.05913	−	13.0262i	0.135380	−	0.434449i
$900$			4.03862i			0.134621i
$901$	−0.737393	+	3.76168i	−0.0245661	+	0.125320i
$902$	−30.0413	+	19.6902i	−1.00027	+	0.655611i
$903$	1.88257	−	6.04138i	0.0626480	−	0.201044i
$904$	−14.3634	+	31.9142i	−0.477720	+	1.06145i
$905$	13.0917	+	9.03657i	0.435184	+	0.300386i
$906$	−3.37578	−	0.204197i	−0.112153	−	0.00678400i
$907$	−18.8891	+	21.3214i	−0.627203	+	0.707966i	−0.973120	−	0.230299i	$-0.926029\pi$
$907$	−18.8891	+	21.3214i	−0.627203	+	0.707966i	0.345917	+	0.938265i	$0.387568\pi$
$908$	13.8667	−	7.27781i	0.460183	−	0.241523i
$909$	28.6719	+	36.5970i	0.950987	+	1.21384i
$910$	3.04110	−	2.69418i	0.100811	−	0.0893111i
$911$	−6.54541	+	17.2588i	−0.216859	+	0.571811i	−0.998662	−	0.0517152i	$-0.983531\pi$
$911$	−6.54541	+	17.2588i	−0.216859	+	0.571811i	0.781803	+	0.623526i	$0.214300\pi$
$912$	−5.41513	−	1.33471i	−0.179313	−	0.0441966i
$913$	−3.10919	+	6.48828i	−0.102899	+	0.214731i
$914$	−37.6172	−	54.4980i	−1.24427	−	1.80263i
$915$	1.24690	+	6.80411i	0.0412212	+	0.224937i
$916$	2.19373	+	1.15136i	0.0724829	+	0.0380419i
$917$	−12.8166	−	33.7947i	−0.423243	−	1.11600i
$918$	1.82161	−	0.221183i	0.0601220	−	0.00730013i
$919$	−2.22438	−	4.94237i	−0.0733756	−	0.163034i	0.871561	−	0.490287i	$-0.163108\pi$
$919$	−2.22438	−	4.94237i	−0.0733756	−	0.163034i	−0.944937	+	0.327253i	$0.893877\pi$
$920$	6.31517	−	34.4608i	0.208205	−	1.13614i
$921$	−4.03734	+	5.15329i	−0.133035	+	0.169807i
$922$	4.02039	+	66.4650i	0.132405	+	2.18891i
$923$	−1.31610	+	2.17710i	−0.0433200	+	0.0716600i
$924$	0.492540	−	2.36639i	0.0162034	−	0.0778484i
$925$	2.89255	−	0.712949i	0.0951064	−	0.0234416i
$926$	−3.53658	+	29.1264i	−0.116219	+	0.957152i
$927$	22.5770	−	7.03529i	0.741527	−	0.231069i
$928$	2.42855	+	7.79349i	0.0797210	+	0.255834i
$929$	2.42031	−	19.9330i	0.0794077	−	0.653981i	−0.897605	−	0.440800i	$-0.854695\pi$
$929$	2.42031	−	19.9330i	0.0794077	−	0.653981i	0.977013	−	0.213181i	$-0.0683823\pi$
$930$	−6.62795	+	1.63364i	−0.217339	+	0.0535693i
$931$	1.72687	+	1.72687i	0.0565958	+	0.0565958i
$932$	−8.47207	−	5.12155i	−0.277512	−	0.167762i
$933$	−0.721902	+	0.0436670i	−0.0236340	+	0.00142959i
$934$	37.4106	+	29.3093i	1.22411	+	0.959031i
$935$	−2.81732	+	1.18763i	−0.0921363	+	0.0388398i
$936$	1.24816	+	2.77329i	0.0407973	+	0.0906478i
$937$	−30.3274	+	3.68241i	−0.990753	+	0.120299i	−0.599833	−	0.800125i	$-0.704766\pi$
$937$	−30.3274	+	3.68241i	−0.990753	+	0.120299i	−0.390920	+	0.920424i	$0.627843\pi$
$938$	−4.27124	+	1.61987i	−0.139461	+	0.0528905i
$939$	0.463761	−	0.883623i	0.0151343	−	0.0288360i
$940$	−0.886736	−	4.83876i	−0.0289221	−	0.157823i
$941$	−18.5404	−	26.8603i	−0.604398	−	0.875622i	0.394668	−	0.918824i	$-0.370860\pi$
$941$	−18.5404	−	26.8603i	−0.604398	−	0.875622i	−0.999066	+	0.0432015i	$0.986244\pi$
$942$	−1.30959	−	2.16632i	−0.0426687	−	0.0705826i
$943$	−14.9408	+	60.6172i	−0.486540	+	1.97397i
$944$	−19.6873	−	7.46641i	−0.640767	−	0.243011i
$945$	6.83171	+	7.71140i	0.222235	+	0.250852i
$946$	32.7558	+	11.0749i	1.06498	+	0.360078i
$947$	33.0966	−	17.3705i	1.07550	−	0.564464i	0.168543	−	0.985694i	$-0.446094\pi$
$947$	33.0966	−	17.3705i	1.07550	−	0.564464i	0.906954	+	0.421230i	$0.138402\pi$
$948$	−0.893491	+	1.00854i	−0.0290193	+	0.0327560i
$949$	−0.359103	+	5.93668i	−0.0116570	+	0.192713i
$950$	−5.71746	+	8.28317i	−0.185499	+	0.268741i
$951$	1.60069	−	3.55659i	0.0519060	−	0.115330i
$952$	0.918186	−	2.94656i	0.0297586	−	0.0954986i
$953$	−42.1688			−1.36598			−0.682991	−	0.730427i	$-0.739321\pi$
$953$	−42.1688			−1.36598			−0.682991	+	0.730427i	$0.739321\pi$
$954$	3.73747	+	34.3105i	0.121005	+	1.11084i
$955$	−13.6655			−0.442204
$956$	13.3144	+	4.14893i	0.430618	+	0.134186i
$957$	0.387903	+	2.44593i	0.0125391	+	0.0790656i
$958$	1.05811	+	0.730361i	0.0341860	+	0.0235969i
$959$	−1.79247	+	29.6331i	−0.0578819	+	0.956901i
$960$	−1.40281	+	1.58344i	−0.0452754	+	0.0511054i
$961$	−5.64319	−	10.7522i	−0.182038	−	0.346845i
$962$	−1.00870	+	0.790270i	−0.0325220	+	0.0254793i
$963$	−0.814155	+	0.721278i	−0.0262358	+	0.0232429i
$964$	−2.68635	−	1.01880i	−0.0865214	−	0.0328132i
$965$	−6.62602	−	1.63317i	−0.213299	−	0.0525735i
$966$	−8.15192	−	13.4849i	−0.262284	−	0.433870i
$967$	−17.5290	+	12.0994i	−0.563695	+	0.389090i	−0.815561	−	0.578672i	$-0.803571\pi$
$967$	−17.5290	+	12.0994i	−0.563695	+	0.389090i	0.251866	+	0.967762i	$0.418956\pi$
$968$	−22.5183	−	5.25290i	−0.723765	−	0.168835i
$969$	0.527913	+	0.277070i	0.0169590	+	0.00890078i
$970$	12.4536	−	4.72302i	0.399860	−	0.151647i
$971$	48.2653	−	5.86047i	1.54891	−	0.188072i	0.699046	−	0.715077i	$-0.253608\pi$
$971$	48.2653	−	5.86047i	1.54891	−	0.188072i	0.849862	+	0.527005i	$0.176685\pi$
$972$	6.06946	−	2.73164i	0.194678	−	0.0876175i
$973$	17.4140	+	3.19123i	0.558267	+	0.102306i
$974$	20.0729	−	25.6211i	0.643177	−	0.820955i
$975$	−0.349871	+	0.0211633i	−0.0112048	+	0.000677768i
$976$	28.0084	−	46.3316i	0.896529	−	1.48304i
$977$	22.8151	+	22.8151i	0.729919	+	0.729919i	0.970603	−	0.240684i	$-0.0773718\pi$
$977$	22.8151	+	22.8151i	0.729919	+	0.729919i	−0.240684	+	0.970603i	$0.577372\pi$
$978$	0.201480	+	0.817435i	0.00644260	+	0.0261387i
$979$	24.1632	−	11.9523i	0.772261	−	0.381998i
$980$	−0.942221	+	0.293608i	−0.0300982	+	0.00937896i
$981$	2.00360	−	0.624348i	0.0639701	−	0.0199339i
$982$	1.42214	−	11.7124i	0.0453822	−	0.373756i
$983$	−4.33368	−	17.5824i	−0.138223	−	0.560793i	−0.998684	−	0.0512773i	$-0.983671\pi$
$983$	−4.33368	−	17.5824i	−0.138223	−	0.560793i	0.860461	−	0.509516i	$-0.170175\pi$
$984$	3.50404	−	3.50404i	0.111705	−	0.111705i
$985$	−7.55470	−	4.56698i	−0.240713	−	0.145516i
$986$	−0.109056	−	1.80291i	−0.00347305	−	0.0574164i
$987$	3.04919	+	2.38889i	0.0970569	+	0.0760392i
$988$	0.208056	−	1.13532i	0.00661914	−	0.0361195i
$989$	54.8045	−	24.6655i	1.74268	−	0.784318i
$990$	−21.0364	+	17.7554i	−0.668580	+	0.564303i
$991$	16.8639	−	6.39565i	0.535701	−	0.203164i	−0.0718933	−	0.997412i	$-0.522904\pi$
$991$	16.8639	−	6.39565i	0.535701	−	0.203164i	0.607594	+	0.794248i	$0.292135\pi$
$992$	22.8556	+	11.9955i	0.725665	+	0.380858i
$993$	1.34286	+	7.32774i	0.0426143	+	0.232539i
$994$	19.1300	−	13.2045i	0.606767	−	0.418821i
$995$	−21.9672	+	13.2796i	−0.696407	+	0.420993i
$996$	−0.135685	+	0.550496i	−0.00429935	+	0.0174431i
$997$	−12.7843	+	33.7095i	−0.404884	+	1.06759i	0.565228	+	0.824935i	$0.308788\pi$
$997$	−12.7843	+	33.7095i	−0.404884	+	1.06759i	−0.970112	+	0.242657i	$0.921981\pi$
$998$	−2.63873	−	2.97851i	−0.0835275	−	0.0942830i
$999$	−2.00391	−	2.55780i	−0.0634009	−	0.0809253i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	583.2.q.b.21.13	✓	1200
11.10	odd	2	inner	583.2.q.b.21.38	yes	1200
53.48	odd	52	inner	583.2.q.b.472.38	yes	1200
583.472	even	52	inner	583.2.q.b.472.13	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
583.2.q.b.21.13	✓	1200	1.1	even	1	trivial
583.2.q.b.21.38	yes	1200	11.10	odd	2	inner
583.2.q.b.472.13	yes	1200	583.472	even	52	inner
583.2.q.b.472.38	yes	1200	53.48	odd	52	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:	\( N \)	\(=\)	\( 583 = 11 \cdot 53 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	583.q (of order \(52\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.57662 - 0.491293i) q^{2} +(-0.327795 - 0.147528i) q^{3} +(0.598379 + 0.413032i) q^{4} +(-1.74756 - 0.105708i) q^{5} +(0.444327 + 0.393639i) q^{6} +(-2.46902 + 1.29584i) q^{7} +(1.29639 + 1.65472i) q^{8} +(-1.90368 - 2.14881i) q^{9} +(2.70330 + 1.02523i) q^{10} +(-1.10145 - 3.12839i) q^{11} +(-0.135212 - 0.223668i) q^{12} +(-0.414753 + 0.286284i) q^{13} +(4.52934 - 0.830033i) q^{14} +(0.557247 + 0.292466i) q^{15} +(-1.74661 - 4.60544i) q^{16} +(0.0634675 + 0.522702i) q^{17} +(1.94568 + 4.32312i) q^{18} +(-0.567801 + 3.09839i) q^{19} +(-1.00204 - 0.785052i) q^{20} +(1.00051 - 0.0605195i) q^{21} +(0.199599 + 5.47340i) q^{22} +(6.73144 + 6.73144i) q^{23} +(-0.180832 - 0.733663i) q^{24} +(-1.92074 - 0.233220i) q^{25} +(0.794556 - 0.247594i) q^{26} +(0.627831 + 2.01478i) q^{27} +(-2.01264 - 0.244378i) q^{28} +(2.01688 - 0.497115i) q^{29} +(-0.734878 - 0.734878i) q^{30} +(3.39805 - 5.62106i) q^{31} +(0.237275 + 3.92262i) q^{32} +(-0.100478 + 1.18796i) q^{33} +(0.156736 - 0.855281i) q^{34} +(4.45176 - 2.00357i) q^{35} +(-0.251597 - 2.07209i) q^{36} +(-1.43966 + 0.545990i) q^{37} +(2.41742 - 4.60601i) q^{38} +(0.178189 - 0.0326544i) q^{39} +(-2.09061 - 3.02877i) q^{40} +(3.39277 + 5.61232i) q^{41} +(-1.60715 - 0.396126i) q^{42} +(2.23867 - 5.90290i) q^{43} +(0.633041 - 2.32690i) q^{44} +(3.09966 + 3.95642i) q^{45} +(-7.30578 - 13.9200i) q^{46} +(2.89264 + 2.56265i) q^{47} +(-0.106903 + 1.76731i) q^{48} +(0.440416 - 0.638053i) q^{49} +(2.91369 + 1.31135i) q^{50} +(0.0563091 - 0.180702i) q^{51} -0.366424 q^{52} +(6.92325 + 2.25137i) q^{53} -3.48498i q^{54} +(1.59415 + 5.58349i) q^{55} +(-5.34508 - 2.40563i) q^{56} +(0.643223 - 0.931869i) q^{57} +(-3.42407 - 0.207118i) q^{58} +(2.83471 - 3.19973i) q^{59} +(0.212648 + 0.405166i) q^{60} +(6.77876 + 8.65245i) q^{61} +(-8.11901 + 7.19282i) q^{62} +(7.48477 + 2.83860i) q^{63} +(-0.804441 + 3.26375i) q^{64} +(0.755070 - 0.456456i) q^{65} +(0.742055 - 1.82360i) q^{66} +(-0.975785 + 0.178819i) q^{67} +(-0.177915 + 0.338988i) q^{68} +(-1.21345 - 3.19961i) q^{69} +(-8.00305 + 0.971746i) q^{70} +(4.60323 - 2.07175i) q^{71} +(1.08777 - 5.93577i) q^{72} +(7.27822 - 9.28996i) q^{73} +(2.53803 - 0.153522i) q^{74} +(0.595203 + 0.359813i) q^{75} +(-1.61949 + 1.61949i) q^{76} +(6.77340 + 6.29677i) q^{77} +(-0.296978 - 0.0360597i) q^{78} +(-1.53373 - 4.92190i) q^{79} +(2.56548 + 8.23293i) q^{80} +(-0.946667 + 7.79651i) q^{81} +(-2.59179 - 10.5153i) q^{82} +(-1.53393 - 1.53393i) q^{83} +(0.623679 + 0.377027i) q^{84} +(-0.0556596 - 0.920163i) q^{85} +(-6.42958 + 8.20676i) q^{86} +(-0.734460 - 0.134595i) q^{87} +(3.74871 - 5.87820i) q^{88} +(0.979731 + 8.06881i) q^{89} +(-2.94321 - 7.76060i) q^{90} +(0.653057 - 1.24430i) q^{91} +(1.24766 + 6.80825i) q^{92} +(-1.94313 + 1.34125i) q^{93} +(-3.30156 - 5.46145i) q^{94} +(1.31979 - 5.35461i) q^{95} +(0.500921 - 1.32082i) q^{96} +(3.44824 - 3.05488i) q^{97} +(-1.00784 + 0.789590i) q^{98} +(-4.62552 + 8.32226i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 48 q^{3} - 52 q^{4} - 44 q^{5} - 52 q^{9} - 26 q^{11} - 64 q^{12} - 28 q^{14} - 28 q^{15} + 72 q^{16} - 52 q^{20} - 12 q^{22} - 68 q^{23} - 52 q^{25} - 80 q^{26} - 72 q^{27} - 56 q^{31} - 28 q^{33}+ \cdots - 258 q^{99}+O(q^{100}) \) 1200 * q - 48 * q^3 - 52 * q^4 - 44 * q^5 - 52 * q^9 - 26 * q^11 - 64 * q^12 - 28 * q^14 - 28 * q^15 + 72 * q^16 - 52 * q^20 - 12 * q^22 - 68 * q^23 - 52 * q^25 - 80 * q^26 - 72 * q^27 - 56 * q^31 - 28 * q^33 - 40 * q^34 - 144 * q^36 - 52 * q^37 - 52 * q^38 + 164 * q^42 - 150 * q^44 + 224 * q^45 - 36 * q^47 - 128 * q^48 - 180 * q^49 + 56 * q^53 - 124 * q^55 + 220 * q^56 - 104 * q^59 - 520 * q^60 + 156 * q^64 - 70 * q^66 + 12 * q^67 - 36 * q^69 - 52 * q^70 - 68 * q^71 + 8 * q^75 - 38 * q^77 - 52 * q^78 - 80 * q^80 + 40 * q^81 - 52 * q^82 - 48 * q^86 - 138 * q^88 - 12 * q^89 - 52 * q^91 - 144 * q^92 + 156 * q^93 + 36 * q^97 - 258 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more