LMFDB - Embedded newform 350.2.x.a.297.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

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

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

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

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

Newform invariants

comment:select newform

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

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

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

Embedding invariants

Embedding label			297.3
Character	$\chi$	$=$	350.297
Dual form			350.2.x.a.33.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.838671 - 0.544639i) q^{2} +(-1.73458 - 0.665841i) q^{3} +(0.406737 + 0.913545i) q^{4} +(1.48328 + 1.67329i) q^{5} +(1.09209 + 1.50314i) q^{6} +(-1.76858 - 1.96777i) q^{7} +(0.156434 - 0.987688i) q^{8} +(0.335974 + 0.302512i) q^{9} +(-0.332644 - 2.21119i) q^{10} +(2.05858 + 2.28629i) q^{11} +(-0.0972393 - 1.85544i) q^{12} +(-2.58168 + 5.06684i) q^{13} +(0.411537 + 2.61355i) q^{14} +(-1.45871 - 3.89007i) q^{15} +(-0.669131 + 0.743145i) q^{16} +(1.69713 + 1.37431i) q^{17} +(-0.117011 - 0.436693i) q^{18} +(4.24320 + 1.88920i) q^{19} +(-0.925320 + 2.03563i) q^{20} +(1.75752 + 4.59084i) q^{21} +(-0.481271 - 3.03862i) q^{22} +(3.27234 - 5.03897i) q^{23} +(-0.928991 + 1.60906i) q^{24} +(-0.599774 + 4.96390i) q^{25} +(4.92478 - 2.84332i) q^{26} +(2.14917 + 4.21799i) q^{27} +(1.07830 - 2.41605i) q^{28} +(-3.82999 + 5.27153i) q^{29} +(-0.895303 + 4.05696i) q^{30} +(10.2408 - 1.07635i) q^{31} +(0.965926 - 0.258819i) q^{32} +(-2.04846 - 5.33642i) q^{33} +(-0.674830 - 2.07691i) q^{34} +(0.669337 - 5.87809i) q^{35} +(-0.139706 + 0.429970i) q^{36} +(6.22259 - 0.326112i) q^{37} +(-2.52972 - 3.89543i) q^{38} +(7.85184 - 7.06983i) q^{39} +(1.88472 - 1.20326i) q^{40} +(1.03712 - 0.336981i) q^{41} +(1.02637 - 4.80742i) q^{42} +(-5.79763 + 5.79763i) q^{43} +(-1.25133 + 2.81052i) q^{44} +(-0.00784698 + 1.01089i) q^{45} +(-5.48883 + 2.44379i) q^{46} +(2.48807 + 3.07251i) q^{47} +(1.65547 - 0.843506i) q^{48} +(-0.744219 + 6.96033i) q^{49} +(3.20654 - 3.83641i) q^{50} +(-2.02873 - 3.51386i) q^{51} +(-5.67886 - 0.297616i) q^{52} +(0.584290 - 1.52213i) q^{53} +(0.494833 - 4.70802i) q^{54} +(-0.772163 + 6.83579i) q^{55} +(-2.22021 + 1.43898i) q^{56} +(-6.10225 - 6.10225i) q^{57} +(6.08318 - 2.33511i) q^{58} +(-13.6729 - 2.90627i) q^{59} +(2.96044 - 2.91484i) q^{60} +(1.92805 + 9.07076i) q^{61} +(-9.17484 - 4.67482i) q^{62} +(0.00107564 - 1.19614i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(-12.3076 + 3.19564i) q^{65} +(-1.18844 + 5.59117i) q^{66} +(0.258769 - 0.319553i) q^{67} +(-0.565208 + 2.10938i) q^{68} +(-9.03128 + 6.56161i) q^{69} +(-3.76279 + 4.56524i) q^{70} +(-9.97005 - 7.24366i) q^{71} +(0.351346 - 0.284514i) q^{72} +(-0.108048 + 2.06168i) q^{73} +(-5.39631 - 3.11556i) q^{74} +(4.34552 - 8.21090i) q^{75} +4.64476i q^{76} +(0.858105 - 8.09430i) q^{77} +(-10.4356 + 1.65284i) q^{78} +(-2.69915 - 0.283693i) q^{79} +(-2.23600 - 0.0173568i) q^{80} +(-1.06116 - 10.0963i) q^{81} +(-1.05334 - 0.282241i) q^{82} +(-4.04628 - 0.640868i) q^{83} +(-3.47909 + 3.47284i) q^{84} +(0.217703 + 4.87826i) q^{85} +(8.01991 - 1.70468i) q^{86} +(10.1534 - 6.59370i) q^{87} +(2.58017 - 1.67558i) q^{88} +(-2.59678 + 0.551962i) q^{89} +(0.557151 - 0.843530i) q^{90} +(14.5363 - 3.88098i) q^{91} +(5.93431 + 0.939902i) q^{92} +(-18.4800 - 4.95171i) q^{93} +(-0.413262 - 3.93193i) q^{94} +(3.13268 + 9.90229i) q^{95} +(-1.84780 - 0.194212i) q^{96} +(16.0022 - 2.53451i) q^{97} +(4.41502 - 5.43209i) q^{98} +1.39088i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) $ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

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

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{17}{20}\right)$

Coefficient data

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

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

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

$2$	−0.838671	−	0.544639i	−0.593030	−	0.385118i
$2$	−0.838671	−	0.544639i	−0.593030	−	0.385118i
$3$	−1.73458	−	0.665841i	−1.00146	−	0.384424i	−0.198269	−	0.980148i	$-0.563532\pi$
$3$	−1.73458	−	0.665841i	−1.00146	−	0.384424i	−0.803189	+	0.595724i	$0.796865\pi$
$4$	0.406737	+	0.913545i	0.203368	+	0.456773i
$5$	1.48328	+	1.67329i	0.663342	+	0.748316i
$5$	1.48328	+	1.67329i	0.663342	+	0.748316i
$6$	1.09209	+	1.50314i	0.445846	+	0.613654i
$7$	−1.76858	−	1.96777i	−0.668462	−	0.743746i
$7$	−1.76858	−	1.96777i	−0.668462	−	0.743746i
$8$	0.156434	−	0.987688i	0.0553079	−	0.349201i
$9$	0.335974	+	0.302512i	0.111991	+	0.100837i
$10$	−0.332644	−	2.21119i	−0.105191	−	0.699239i
$11$	2.05858	+	2.28629i	0.620685	+	0.689341i	0.968724	−	0.248139i	$-0.0798190\pi$
$11$	2.05858	+	2.28629i	0.620685	+	0.689341i	−0.348039	+	0.937480i	$0.613152\pi$
$12$	−0.0972393	−	1.85544i	−0.0280706	−	0.535618i
$13$	−2.58168	+	5.06684i	−0.716031	+	1.40529i	0.189875	+	0.981808i	$0.439192\pi$
$13$	−2.58168	+	5.06684i	−0.716031	+	1.40529i	−0.905905	+	0.423481i	$0.860808\pi$
$14$	0.411537	+	2.61355i	0.109988	+	0.698500i
$15$	−1.45871	−	3.89007i	−0.376639	−	1.00441i
$16$	−0.669131	+	0.743145i	−0.167283	+	0.185786i
$17$	1.69713	+	1.37431i	0.411614	+	0.333318i	0.812658	−	0.582740i	$-0.198019\pi$
$17$	1.69713	+	1.37431i	0.411614	+	0.333318i	−0.401045	+	0.916058i	$0.631353\pi$
$18$	−0.117011	−	0.436693i	−0.0275799	−	0.102929i
$19$	4.24320	+	1.88920i	0.973457	+	0.433411i	0.830928	−	0.556379i	$-0.187810\pi$
$19$	4.24320	+	1.88920i	0.973457	+	0.433411i	0.142529	+	0.989791i	$0.454477\pi$
$20$	−0.925320	+	2.03563i	−0.206908	+	0.455180i
$21$	1.75752	+	4.59084i	0.383523	+	1.00180i
$22$	−0.481271	−	3.03862i	−0.102607	−	0.647837i
$23$	3.27234	−	5.03897i	0.682331	−	1.05070i	−0.312576	−	0.949893i	$-0.601192\pi$
$23$	3.27234	−	5.03897i	0.682331	−	1.05070i	0.994906	−	0.100804i	$-0.0321415\pi$
$24$	−0.928991	+	1.60906i	−0.189630	+	0.328448i
$25$	−0.599774	+	4.96390i	−0.119955	+	0.992779i
$26$	4.92478	−	2.84332i	0.965829	−	0.557622i
$27$	2.14917	+	4.21799i	0.413608	+	0.811752i
$28$	1.07830	−	2.41605i	0.203779	−	0.456590i
$29$	−3.82999	+	5.27153i	−0.711211	+	0.978898i	0.288559	+	0.957462i	$0.406824\pi$
$29$	−3.82999	+	5.27153i	−0.711211	+	0.978898i	−0.999770	+	0.0214363i	$0.993176\pi$
$30$	−0.895303	+	4.05696i	−0.163459	+	0.740696i
$31$	10.2408	−	1.07635i	1.83929	−	0.193318i	0.879857	−	0.475239i	$-0.157638\pi$
$31$	10.2408	−	1.07635i	1.83929	−	0.193318i	0.959437	+	0.281922i	$0.0909718\pi$
$32$	0.965926	−	0.258819i	0.170753	−	0.0457532i
$33$	−2.04846	−	5.33642i	−0.356591	−	0.928952i
$34$	−0.674830	−	2.07691i	−0.115732	−	0.356187i
$35$	0.669337	−	5.87809i	0.113139	−	0.993579i
$36$	−0.139706	+	0.429970i	−0.0232843	+	0.0716617i
$37$	6.22259	−	0.326112i	1.02299	−	0.0536125i	0.466544	−	0.884498i	$-0.345499\pi$
$37$	6.22259	−	0.326112i	1.02299	−	0.0536125i	0.556443	+	0.830886i	$0.312166\pi$
$38$	−2.52972	−	3.89543i	−0.410375	−	0.631922i
$39$	7.85184	−	7.06983i	1.25730	−	1.13208i
$40$	1.88472	−	1.20326i	0.298001	−	0.190252i
$41$	1.03712	−	0.336981i	0.161971	−	0.0526277i	−0.226909	−	0.973916i	$-0.572862\pi$
$41$	1.03712	−	0.336981i	0.161971	−	0.0526277i	0.388880	+	0.921288i	$0.372862\pi$
$42$	1.02637	−	4.80742i	0.158372	−	0.741800i
$43$	−5.79763	+	5.79763i	−0.884130	+	0.884130i	−0.993951	−	0.109822i	$-0.964972\pi$
$43$	−5.79763	+	5.79763i	−0.884130	+	0.884130i	0.109822	+	0.993951i	$0.464972\pi$
$44$	−1.25133	+	2.81052i	−0.188644	+	0.423702i
$45$	−0.00784698	+	1.01089i	−0.00116976	+	0.150695i
$46$	−5.48883	+	2.44379i	−0.809284	+	0.360317i
$47$	2.48807	+	3.07251i	0.362922	+	0.448172i	0.925599	−	0.378505i	$-0.123562\pi$
$47$	2.48807	+	3.07251i	0.362922	+	0.448172i	−0.562677	+	0.826677i	$0.690228\pi$
$48$	1.65547	−	0.843506i	0.238947	−	0.121750i
$49$	−0.744219	+	6.96033i	−0.106317	+	0.994332i
$50$	3.20654	−	3.83641i	0.453474	−	0.542551i
$51$	−2.02873	−	3.51386i	−0.284078	−	0.492038i
$52$	−5.67886	−	0.297616i	−0.787516	−	0.0412719i
$53$	0.584290	−	1.52213i	0.0802584	−	0.209080i	−0.887580	−	0.460654i	$-0.847615\pi$
$53$	0.584290	−	1.52213i	0.0802584	−	0.209080i	0.967838	+	0.251574i	$0.0809482\pi$
$54$	0.494833	−	4.70802i	0.0673383	−	0.640681i
$55$	−0.772163	+	6.83579i	−0.104118	+	0.921738i
$56$	−2.22021	+	1.43898i	−0.296688	+	0.192292i
$57$	−6.10225	−	6.10225i	−0.808263	−	0.808263i
$58$	6.08318	−	2.33511i	0.798761	−	0.306616i
$59$	−13.6729	−	2.90627i	−1.78006	−	0.378364i	−0.803790	−	0.594913i	$-0.797186\pi$
$59$	−13.6729	−	2.90627i	−1.78006	−	0.378364i	−0.976272	+	0.216550i	$0.930520\pi$
$60$	2.96044	−	2.91484i	0.382191	−	0.376304i
$61$	1.92805	+	9.07076i	0.246861	+	1.16139i	0.910555	+	0.413387i	$0.135654\pi$
$61$	1.92805	+	9.07076i	0.246861	+	1.16139i	−0.663694	+	0.748004i	$0.731012\pi$
$62$	−9.17484	−	4.67482i	−1.16521	−	0.593702i
$63$	0.00107564	−	1.19614i	0.000135518	−	0.150699i
$64$	−0.951057	−	0.309017i	−0.118882	−	0.0386271i
$65$	−12.3076	+	3.19564i	−1.52657	+	0.396370i
$66$	−1.18844	+	5.59117i	−0.146287	+	0.688226i
$67$	0.258769	−	0.319553i	0.0316137	−	0.0390396i	−0.761094	−	0.648642i	$-0.775337\pi$
$67$	0.258769	−	0.319553i	0.0316137	−	0.0390396i	0.792708	+	0.609602i	$0.208671\pi$
$68$	−0.565208	+	2.10938i	−0.0685415	+	0.255800i
$69$	−9.03128	+	6.56161i	−1.08724	+	0.789925i
$70$	−3.76279	+	4.56524i	−0.449740	+	0.545650i
$71$	−9.97005	−	7.24366i	−1.18323	−	0.859665i	−0.190695	−	0.981649i	$-0.561074\pi$
$71$	−9.97005	−	7.24366i	−1.18323	−	0.859665i	−0.992532	+	0.121984i	$0.961074\pi$
$72$	0.351346	−	0.284514i	0.0414065	−	0.0335303i
$73$	−0.108048	+	2.06168i	−0.0126461	+	0.241302i	0.984991	+	0.172604i	$0.0552179\pi$
$73$	−0.108048	+	2.06168i	−0.0126461	+	0.241302i	−0.997637	+	0.0686984i	$0.978115\pi$
$74$	−5.39631	−	3.11556i	−0.627309	−	0.362177i
$75$	4.34552	−	8.21090i	0.501777	−	0.948113i
$76$			4.64476i			0.532791i
$77$	0.858105	−	8.09430i	0.0977901	−	0.922431i
$78$	−10.4356	+	1.65284i	−1.18160	+	0.187147i
$79$	−2.69915	−	0.283693i	−0.303679	−	0.0319179i	−0.0485363	−	0.998821i	$-0.515456\pi$
$79$	−2.69915	−	0.283693i	−0.303679	−	0.0319179i	−0.255142	+	0.966904i	$0.582122\pi$
$80$	−2.23600	−	0.0173568i	−0.249992	−	0.00194055i
$81$	−1.06116	−	10.0963i	−0.117907	−	1.12181i
$82$	−1.05334	−	0.282241i	−0.116322	−	0.0311683i
$83$	−4.04628	−	0.640868i	−0.444137	−	0.0703444i	−0.0696393	−	0.997572i	$-0.522185\pi$
$83$	−4.04628	−	0.640868i	−0.444137	−	0.0703444i	−0.374498	+	0.927228i	$0.622185\pi$
$84$	−3.47909	+	3.47284i	−0.379600	+	0.378918i
$85$	0.217703	+	4.87826i	0.0236132	+	0.529121i
$86$	8.01991	−	1.70468i	0.864809	−	0.183821i
$87$	10.1534	−	6.59370i	1.08856	−	0.706919i
$88$	2.58017	−	1.67558i	0.275047	−	0.178618i
$89$	−2.59678	+	0.551962i	−0.275258	+	0.0585078i	−0.343472	−	0.939163i	$-0.611603\pi$
$89$	−2.59678	+	0.551962i	−0.275258	+	0.0585078i	0.0682145	+	0.997671i	$0.478270\pi$
$90$	0.557151	−	0.843530i	0.0587289	−	0.0889159i
$91$	14.5363	−	3.88098i	1.52382	−	0.406837i
$92$	5.93431	+	0.939902i	0.618694	+	0.0979915i
$93$	−18.4800	−	4.95171i	−1.91629	−	0.513469i
$94$	−0.413262	−	3.93193i	−0.0426247	−	0.405547i
$95$	3.13268	+	9.90229i	0.321407	+	1.01595i
$96$	−1.84780	−	0.194212i	−0.188591	−	0.0198217i
$97$	16.0022	−	2.53451i	1.62478	−	0.257340i	0.723420	−	0.690408i	$-0.242569\pi$
$97$	16.0022	−	2.53451i	1.62478	−	0.257340i	0.901361	+	0.433068i	$0.142569\pi$
$98$	4.41502	−	5.43209i	0.445984	−	0.548724i
$99$			1.39088i			0.139788i
$100$	−4.77870	+	1.47108i	−0.477870	+	0.147108i
$101$	9.37519	+	5.41277i	0.932866	+	0.538591i	0.887717	−	0.460390i	$-0.152290\pi$
$101$	9.37519	+	5.41277i	0.932866	+	0.538591i	0.0451493	+	0.998980i	$0.485624\pi$
$102$	−0.212351	+	4.05189i	−0.0210258	+	0.401197i
$103$	−5.50712	+	4.45958i	−0.542633	+	0.439415i	−0.861039	−	0.508539i	$-0.830186\pi$
$103$	−5.50712	+	4.45958i	−0.542633	+	0.439415i	0.318406	+	0.947954i	$0.396852\pi$
$104$	4.60060	+	3.34253i	0.451126	+	0.327762i
$105$	−5.07489	+	9.75033i	−0.495259	+	0.951534i
$106$	−1.31904	+	0.958336i	−0.128116	+	0.0930818i
$107$	−0.338602	+	1.26368i	−0.0327339	+	0.122164i	−0.980359	−	0.197219i	$-0.936809\pi$
$107$	−0.338602	+	1.26368i	−0.0327339	+	0.122164i	0.947626	+	0.319383i	$0.103476\pi$
$108$	−2.97918	+	3.67898i	−0.286671	+	0.354010i
$109$	3.23035	−	15.1976i	0.309411	−	1.45567i	−0.498771	−	0.866734i	$-0.666215\pi$
$109$	3.23035	−	15.1976i	0.309411	−	1.45567i	0.808183	−	0.588932i	$-0.200451\pi$
$110$	4.37063	−	5.31243i	0.416723	−	0.506520i
$111$	−11.0107	−	3.57759i	−1.04509	−	0.339570i
$112$	2.64575	+	0.00237922i	0.250000	+	0.000224815i
$113$	−1.48942	−	0.758898i	−0.140113	−	0.0713911i	0.382529	−	0.923944i	$-0.375053\pi$
$113$	−1.48942	−	0.758898i	−0.140113	−	0.0713911i	−0.522642	+	0.852553i	$0.675053\pi$
$114$	1.79425	+	8.44130i	0.168047	+	0.790600i
$115$	13.2854	−	1.99862i	1.23887	−	0.186372i
$116$	−6.37358	−	1.35475i	−0.591772	−	0.125785i
$117$	−2.40016	+	0.921335i	−0.221895	+	0.0851775i
$118$	9.88420	+	9.88420i	0.909915	+	0.909915i
$119$	−0.297197	−	5.77013i	−0.0272440	−	0.528947i
$120$	−4.07037	+	0.832215i	−0.371572	+	0.0759704i
$121$	0.160466	−	1.52674i	0.0145879	−	0.138794i
$122$	3.32329	−	8.65747i	0.300877	−	0.783810i
$123$	−2.02334	−	0.106039i	−0.182439	−	0.00956121i
$124$	5.14858	+	8.91761i	0.462356	+	0.800825i
$125$	−9.19565	+	6.35924i	−0.822484	+	0.568788i
$126$	−0.652365	+	1.00258i	−0.0581173	+	0.0893168i
$127$	−8.38393	+	4.27183i	−0.743954	+	0.379063i	−0.784512	−	0.620114i	$-0.787086\pi$
$127$	−8.38393	+	4.27183i	−0.743954	+	0.379063i	0.0405582	+	0.999177i	$0.487086\pi$
$128$	0.629320	+	0.777146i	0.0556246	+	0.0686906i
$129$	13.9167	−	6.19612i	1.22530	−	0.545538i
$130$	12.0625	+	4.02313i	1.05795	+	0.352852i
$131$	7.83729	−	17.6028i	0.684747	−	1.53797i	−0.150809	−	0.988563i	$-0.548188\pi$
$131$	7.83729	−	17.6028i	0.684747	−	1.53797i	0.835556	−	0.549405i	$-0.185146\pi$
$132$	4.04188	−	4.04188i	0.351801	−	0.351801i
$133$	−3.78696	−	11.6908i	−0.328371	−	1.01372i
$134$	−0.391063	+	0.127064i	−0.0337827	+	0.0109767i
$135$	−3.87008	+	9.85263i	−0.333084	+	0.847979i
$136$	1.62288	−	1.46124i	0.139160	−	0.125301i
$137$	−6.94198	−	10.6897i	−0.593094	−	0.913284i	0.406906	−	0.913470i	$-0.366608\pi$
$137$	−6.94198	−	10.6897i	−0.593094	−	0.913284i	−1.00000		0.000185595i	$0.999941\pi$
$138$	11.1480	−	0.584240i	0.948978	−	0.0497339i
$139$	−3.79302	+	11.6737i	−0.321720	+	0.990153i	0.651179	+	0.758924i	$0.274275\pi$
$139$	−3.79302	+	11.6737i	−0.321720	+	0.990153i	−0.972899	+	0.231229i	$0.925725\pi$
$140$	5.64215	−	1.77937i	0.476849	−	0.150384i
$141$	−2.26994	−	6.98616i	−0.191164	−	0.588341i
$142$	4.41640	+	11.5051i	0.370616	+	0.965489i
$143$	−16.8989	+	4.52803i	−1.41315	+	0.378653i
$144$	−0.449621	+	0.0472571i	−0.0374684	+	0.00393809i
$145$	−14.5017	+	1.41047i	−1.20430	+	0.117133i
$146$	1.21349	−	1.67023i	0.100429	−	0.138229i
$147$	5.92538	−	11.5777i	0.488717	−	0.954911i
$148$	2.82887	+	5.55197i	0.232532	+	0.456370i
$149$	7.51593	−	4.33933i	0.615729	−	0.355491i	−0.159475	−	0.987202i	$-0.550980\pi$
$149$	7.51593	−	4.33933i	0.615729	−	0.355491i	0.775204	+	0.631711i	$0.217647\pi$
$150$	−8.11644	+	4.51950i	−0.662704	+	0.369016i
$151$	−4.05949	+	7.03124i	−0.330356	+	0.572194i	−0.982582	−	0.185831i	$-0.940502\pi$
$151$	−4.05949	+	7.03124i	−0.330356	+	0.572194i	0.652225	+	0.758025i	$0.273836\pi$
$152$	2.52972	−	3.89543i	0.205187	−	0.315961i
$153$	0.154446	+	0.975133i	0.0124862	+	0.0788348i
$154$	−5.12814	+	6.32109i	−0.413237	+	0.509368i
$155$	16.9909	+	15.5392i	1.36474	+	1.24814i
$156$	9.65224	+	4.29745i	0.772798	+	0.344072i
$157$	4.46013	+	16.6454i	0.355957	+	1.32845i	0.879275	+	0.476314i	$0.158027\pi$
$157$	4.46013	+	16.6454i	0.355957	+	1.32845i	−0.523318	+	0.852138i	$0.675306\pi$
$158$	2.10919	+	1.70799i	0.167798	+	0.135880i
$159$	−2.02699	+	2.25120i	−0.160751	+	0.178532i
$160$	1.86581	+	1.23237i	0.147506	+	0.0974274i
$161$	−15.7029	+	2.47263i	−1.23756	+	0.194870i
$162$	−4.60887	+	9.04541i	−0.362107	+	0.710674i
$163$	−0.225379	−	4.30050i	−0.0176531	−	0.336841i	−0.993151	−	0.116834i	$-0.962725\pi$
$163$	−0.225379	−	4.30050i	−0.0176531	−	0.336841i	0.975498	−	0.220007i	$-0.0706079\pi$
$164$	0.729683	+	0.810396i	0.0569787	+	0.0632813i
$165$	5.89093	−	11.3431i	0.458608	−	0.883056i
$166$	3.04445	+	2.74124i	0.236295	+	0.212761i
$167$	0.255329	−	1.61208i	0.0197579	−	0.124747i	−0.975838	−	0.218496i	$-0.929885\pi$
$167$	0.255329	−	1.61208i	0.0197579	−	0.124747i	0.995596	+	0.0937489i	$0.0298851\pi$
$168$	4.80925	−	1.01772i	0.371042	−	0.0785187i
$169$	−11.3666	−	15.6448i	−0.874353	−	1.20344i
$170$	2.47431	−	4.20982i	0.189771	−	0.322878i
$171$	0.854100	+	1.91834i	0.0653147	+	0.146699i
$172$	−7.65450	−	2.93829i	−0.583650	−	0.224042i
$173$	4.77414	+	3.10037i	0.362972	+	0.235716i	0.713220	−	0.700940i	$-0.247236\pi$
$173$	4.77414	+	3.10037i	0.362972	+	0.235716i	−0.350248	+	0.936657i	$0.613903\pi$
$174$	−12.1066			−0.917795
$175$	10.8285	−	7.59885i	0.818561	−	0.574419i
$176$	−3.07650			−0.231900
$177$	21.7816	+	14.1451i	1.63720	+	1.06321i
$178$	2.47846	+	0.951391i	0.185768	+	0.0713098i
$179$	1.46972	+	3.30105i	0.109852	+	0.246732i	0.960103	−	0.279645i	$-0.0902168\pi$
$179$	1.46972	+	3.30105i	0.109852	+	0.246732i	−0.850251	+	0.526377i	$0.823550\pi$
$180$	−0.926686	+	0.403998i	−0.0690711	+	0.0301122i
$181$	−0.364133	−	0.501185i	−0.0270658	−	0.0372528i	0.795270	−	0.606256i	$-0.207329\pi$
$181$	−0.364133	−	0.501185i	−0.0270658	−	0.0372528i	−0.822335	+	0.569003i	$0.807329\pi$
$182$	−14.3049	−	4.66217i	−1.06035	−	0.345583i
$183$	2.69534	−	17.0177i	0.199245	−	1.25798i
$184$	−4.46502	−	4.02032i	−0.329166	−	0.296382i
$185$	9.77550	+	9.92846i	0.718709	+	0.729955i
$186$	12.8018	+	14.2178i	0.938671	+	1.04250i
$187$	0.351616	+	6.70924i	0.0257127	+	0.490628i
$188$	−1.79489	+	3.52267i	−0.130906	+	0.256917i
$189$	4.49903	−	11.6889i	0.327256	−	0.850245i
$190$	2.76589	−	10.0109i	0.200659	−	0.726270i
$191$	5.34646	−	5.93784i	0.386856	−	0.429647i	−0.517990	−	0.855387i	$-0.673319\pi$
$191$	5.34646	−	5.93784i	0.386856	−	0.429647i	0.904846	+	0.425740i	$0.139986\pi$
$192$	1.44392	+	1.16927i	0.104206	+	0.0843845i
$193$	1.76295	+	6.57942i	0.126900	+	0.473597i	0.999900	−	0.0141224i	$-0.00449546\pi$
$193$	1.76295	+	6.57942i	0.126900	+	0.473597i	−0.873000	+	0.487720i	$0.837829\pi$
$194$	−14.8010	−	6.58983i	−1.06265	−	0.473122i
$195$	23.4763	+	2.65186i	1.68117	+	0.189903i
$196$	−6.66128	+	2.15114i	−0.475805	+	0.153653i
$197$	1.47413	+	9.30728i	0.105027	+	0.663116i	0.982889	+	0.184201i	$0.0589698\pi$
$197$	1.47413	+	9.30728i	0.105027	+	0.663116i	−0.877861	+	0.478915i	$0.841030\pi$
$198$	0.757526	−	1.16649i	0.0538351	−	0.0828987i
$199$	−2.07817	+	3.59949i	−0.147317	+	0.255161i	−0.930235	−	0.366964i	$-0.880397\pi$
$199$	−2.07817	+	3.59949i	−0.147317	+	0.255161i	0.782918	+	0.622125i	$0.213730\pi$
$200$	4.80896	+	1.36891i	0.340045	+	0.0967969i
$201$	−0.661626	+	0.381990i	−0.0466675	+	0.0269435i
$202$	−4.91469	−	9.64562i	−0.345796	−	0.678664i
$203$	17.1468	−	1.78661i	1.20347	−	0.125396i
$204$	2.38491	−	3.28255i	0.166977	−	0.229824i
$205$	2.10221	+	1.23557i	0.146824	+	0.0862956i
$206$	7.04752	−	0.740724i	0.491024	−	0.0516087i
$207$	2.62377	−	0.703037i	0.182365	−	0.0488645i
$208$	−2.03791	−	5.30894i	−0.141304	−	0.368109i
$209$	4.41573	+	13.5902i	0.305443	+	0.940056i
$210$	9.56657	−	5.41333i	0.660156	−	0.373555i
$211$	3.44456	−	10.6013i	0.237133	−	0.729821i	−0.759698	−	0.650276i	$-0.774653\pi$
$211$	3.44456	−	10.6013i	0.237133	−	0.729821i	0.996831	−	0.0795449i	$-0.0253467\pi$
$212$	1.62818	−	0.0853295i	0.111824	−	0.00586045i
$213$	12.4707	+	19.2032i	0.854477	+	1.31578i
$214$	0.972224	−	0.875395i	0.0664599	−	0.0598407i
$215$	−18.3006	−	1.10160i	−1.24809	−	0.0751284i
$216$	4.50226	−	1.46287i	0.306340	−	0.0995359i
$217$	−20.2296	−	18.2478i	−1.37328	−	1.23874i
$218$	−10.9864	+	10.9864i	−0.744093	+	0.744093i
$219$	1.56017	−	3.50420i	0.105427	−	0.236792i
$220$	−6.55887	+	2.07496i	−0.442199	+	0.139894i
$221$	−11.3448	+	5.05105i	−0.763137	+	0.339770i
$222$	7.28584	+	8.99727i	0.488994	+	0.603857i
$223$	−1.97144	+	1.00450i	−0.132018	+	0.0672663i	−0.518752	−	0.854925i	$-0.673603\pi$
$223$	−1.97144	+	1.00450i	−0.132018	+	0.0672663i	0.386734	+	0.922191i	$0.373603\pi$
$224$	−2.21762	−	1.44297i	−0.148171	−	0.0964128i
$225$	−1.70315	+	1.48630i	−0.113543	+	0.0990867i
$226$	0.835808	+	1.44766i	0.0555971	+	0.0962971i
$227$	−6.91147	−	0.362215i	−0.458730	−	0.0240410i	−0.178428	−	0.983953i	$-0.557101\pi$
$227$	−6.91147	−	0.362215i	−0.458730	−	0.0240410i	−0.280302	+	0.959912i	$0.590435\pi$
$228$	3.09267	−	8.05669i	0.204817	−	0.533568i
$229$	−0.965169	+	9.18297i	−0.0637802	+	0.606828i	0.915218	+	0.402959i	$0.132018\pi$
$229$	−0.965169	+	9.18297i	−0.0637802	+	0.606828i	−0.978998	+	0.203869i	$0.934648\pi$
$230$	−12.2306	−	5.55958i	−0.806463	−	0.366588i
$231$	−6.87796	+	13.4688i	−0.452537	+	0.886183i
$232$	4.60749	+	4.60749i	0.302496	+	0.302496i
$233$	16.3269	−	6.26730i	1.06961	−	0.410585i	0.241066	−	0.970509i	$-0.422503\pi$
$233$	16.3269	−	6.26730i	1.06961	−	0.410585i	0.828544	+	0.559924i	$0.189170\pi$
$234$	2.51474	+	0.534524i	0.164394	+	0.0349429i
$235$	−1.45069	+	8.72064i	−0.0946327	+	0.568872i
$236$	−2.90627	−	13.6729i	−0.189182	−	0.890031i
$237$	4.49299	+	2.28929i	0.291851	+	0.148706i
$238$	−2.89339	+	5.00110i	−0.187550	+	0.324173i
$239$	25.6175	+	8.32363i	1.65706	+	0.538411i	0.980252	−	0.197752i	$-0.0633639\pi$
$239$	25.6175	+	8.32363i	1.65706	+	0.538411i	0.676805	+	0.736162i	$0.263364\pi$
$240$	3.86696	+	1.51893i	0.249611	+	0.0980464i
$241$	−0.807468	+	3.79884i	−0.0520136	+	0.244705i	−0.996472	−	0.0839264i	$-0.973254\pi$
$241$	−0.807468	+	3.79884i	−0.0520136	+	0.244705i	0.944458	+	0.328631i	$0.106587\pi$
$242$	−0.966098	+	1.19303i	−0.0621032	+	0.0766910i
$243$	−1.20614	+	4.50139i	−0.0773741	+	0.288764i
$244$	−7.50234	+	5.45077i	−0.480288	+	0.348950i
$245$	−12.7505	+	9.07881i	−0.814600	+	0.580024i
$246$	1.63917	+	1.19092i	0.104509	+	0.0759305i
$247$	−20.5269	+	16.6223i	−1.30609	+	1.05765i
$248$	0.538912	−	10.2831i	0.0342209	−	0.652975i
$249$	6.59186	+	3.80581i	0.417742	+	0.241184i
$250$	11.1756	−	0.325000i	0.706808	−	0.0205548i
$251$		−	26.0919i		−	1.64690i	−0.567386	−	0.823452i	$-0.692045\pi$
$251$		−	26.0919i		−	1.64690i	0.567386	−	0.823452i	$-0.307955\pi$
$252$	1.09316	−	0.485530i	0.0688628	−	0.0305855i
$253$	18.2569	−	2.89161i	1.14780	−	0.181794i
$254$	9.35796	+	0.983561i	0.587171	+	0.0617141i
$255$	2.87052	−	8.60666i	0.179759	−	0.538970i
$256$	−0.104528	−	0.994522i	−0.00653303	−	0.0621576i
$257$	−9.31784	−	2.49671i	−0.581231	−	0.155740i	−0.0437885	−	0.999041i	$-0.513943\pi$
$257$	−9.31784	−	2.49671i	−0.581231	−	0.155740i	−0.537442	+	0.843300i	$0.680609\pi$
$258$	−15.0462	−	2.38308i	−0.936735	−	0.148364i
$259$	−11.6469	−	11.6678i	−0.723702	−	0.725005i
$260$	−7.92532	−	9.94380i	−0.491508	−	0.616688i
$261$	−2.88148	+	0.612477i	−0.178359	+	0.0379114i
$262$	−16.1601	+	10.4945i	−0.998375	+	0.648352i
$263$	13.9628	−	9.06757i	0.860985	−	0.559130i	−0.0369206	−	0.999318i	$-0.511755\pi$
$263$	13.9628	−	9.06757i	0.860985	−	0.559130i	0.897906	+	0.440188i	$0.145088\pi$
$264$	−5.59117	+	1.18844i	−0.344113	+	0.0731435i
$265$	3.41362	−	1.28005i	0.209697	−	0.0786330i
$266$	−3.19127	+	11.8673i	−0.195669	+	0.727630i
$267$	4.87182	+	0.771621i	0.298151	+	0.0472224i
$268$	0.397177	+	0.106423i	0.0242615	+	0.00650084i
$269$	−2.33949	−	22.2588i	−0.142641	−	1.35714i	−0.798381	−	0.602153i	$-0.794310\pi$
$269$	−2.33949	−	22.2588i	−0.142641	−	1.35714i	0.655739	−	0.754987i	$-0.272357\pi$
$270$	8.61185	−	6.15531i	0.524100	−	0.374600i
$271$	7.45259	+	0.783298i	0.452712	+	0.0475820i	0.328141	−	0.944629i	$-0.393578\pi$
$271$	7.45259	+	0.783298i	0.452712	+	0.0475820i	0.124571	+	0.992211i	$0.460244\pi$
$272$	−2.15691	+	0.341621i	−0.130782	+	0.0207138i
$273$	−27.7984	−	2.94701i	−1.68244	−	0.178361i
$274$			12.7460i			0.770016i
$275$	−12.5836	+	8.84733i	−0.758818	+	0.533514i
$276$	−9.66768	−	5.58164i	−0.581926	−	0.335975i
$277$	−0.919668	+	17.5483i	−0.0552575	+	1.05438i	0.820507	+	0.571637i	$0.193691\pi$
$277$	−0.919668	+	17.5483i	−0.0552575	+	1.05438i	−0.875764	+	0.482739i	$0.839642\pi$
$278$	9.53907	−	7.72458i	0.572115	−	0.463290i
$279$	3.76623	+	2.73633i	0.225479	+	0.163820i
$280$	−5.70102	−	1.58063i	−0.340701	−	0.0944609i
$281$	−5.03047	+	3.65485i	−0.300092	+	0.218030i	−0.727634	−	0.685966i	$-0.759380\pi$
$281$	−5.03047	+	3.65485i	−0.300092	+	0.218030i	0.427541	+	0.903996i	$0.359380\pi$
$282$	−1.90120	+	7.09539i	−0.113215	+	0.422524i
$283$	5.23349	−	6.46282i	0.311099	−	0.384175i	−0.597483	−	0.801881i	$-0.703833\pi$
$283$	5.23349	−	6.46282i	0.311099	−	0.384175i	0.908582	+	0.417706i	$0.137166\pi$
$284$	2.56223	−	12.0544i	0.152041	−	0.715295i
$285$	1.15948	−	19.2621i	0.0686816	−	1.14099i
$286$	16.6387	+	5.40625i	0.983868	+	0.319678i
$287$	−2.49734	−	1.44484i	−0.147413	−	0.0852859i
$288$	0.402822	+	0.205248i	0.0237365	+	0.0120944i
$289$	−2.54298	−	11.9638i	−0.149587	−	0.703751i
$290$	12.9304	+	6.71528i	0.759297	+	0.394335i
$291$	−29.4447	−	6.25866i	−1.72608	−	0.366889i
$292$	−1.92739	+	0.739855i	−0.112792	+	0.0432968i
$293$	7.02245	+	7.02245i	0.410256	+	0.410256i	0.881828	−	0.471572i	$-0.156313\pi$
$293$	7.02245	+	7.02245i	0.410256	+	0.410256i	−0.471572	+	0.881828i	$0.656313\pi$
$294$	−11.2751	+	6.48267i	−0.657577	+	0.378077i
$295$	−15.4177	−	27.1895i	−0.897654	−	1.58303i
$296$	0.651330	−	6.19699i	0.0378578	−	0.360193i
$297$	−5.21928	+	13.5967i	−0.302853	+	0.788960i
$298$	−8.66676	−	0.454205i	−0.502052	−	0.0263114i
$299$	17.0835	+	29.5895i	0.987963	+	1.71120i
$300$	9.26851	+	0.630156i	0.535118	+	0.0363821i
$301$	21.6620	+	1.15479i	1.24858	+	0.0665610i
$302$	7.23406	−	3.68594i	0.416273	−	0.212102i
$303$	−12.6579	−	15.6312i	−0.727179	−	0.897992i
$304$	−4.24320	+	1.88920i	−0.243364	+	0.108353i
$305$	−12.3181	+	16.6806i	−0.705335	+	0.955130i
$306$	0.401566	−	0.901932i	0.0229560	−	0.0515600i
$307$	3.17449	−	3.17449i	0.181178	−	0.181178i	−0.610691	−	0.791869i	$-0.709108\pi$
$307$	3.17449	−	3.17449i	0.181178	−	0.181178i	0.791869	+	0.610691i	$0.209108\pi$
$308$	7.74353	−	2.50833i	0.441229	−	0.142925i
$309$	12.5219	−	4.06861i	0.712345	−	0.231455i
$310$	−5.78653	−	22.2862i	−0.328653	−	1.26577i
$311$	−16.8006	+	15.1274i	−0.952676	+	0.857794i	−0.989937	−	0.141512i	$-0.954804\pi$
$311$	−16.8006	+	15.1274i	−0.952676	+	0.857794i	0.0372602	+	0.999306i	$0.488137\pi$
$312$	−5.75449	−	8.86114i	−0.325784	−	0.501663i
$313$	21.1288	−	1.10731i	1.19427	−	0.0625891i	0.555187	−	0.831726i	$-0.312647\pi$
$313$	21.1288	−	1.10731i	1.19427	−	0.0625891i	0.639085	+	0.769136i	$0.279313\pi$
$314$	5.32518	−	16.3892i	0.300517	−	0.924897i
$315$	2.00308	−	1.77240i	0.112860	−	0.0998636i
$316$	−0.838679	−	2.58119i	−0.0471794	−	0.145203i
$317$	−4.24808	−	11.0666i	−0.238596	−	0.621564i	0.761035	−	0.648710i	$-0.224691\pi$
$317$	−4.24808	−	11.0666i	−0.238596	−	0.621564i	−0.999631	+	0.0271464i	$0.991358\pi$
$318$	2.92607	−	0.784038i	0.164086	−	0.0439666i
$319$	−19.9366	+	2.09542i	−1.11623	+	0.117321i
$320$	−0.893607	−	2.04975i	−0.0499542	−	0.114584i
$321$	1.42874	−	1.96649i	0.0797445	−	0.109759i
$322$	14.5163	+	6.47871i	0.808960	+	0.361044i
$323$	4.60492	+	9.03766i	0.256225	+	0.502869i
$324$	8.79180	−	5.07595i	0.488434	−	0.281997i
$325$	−23.6029	−	15.8542i	−1.30925	−	0.879432i
$326$	−2.15320	+	3.72945i	−0.119255	+	0.206555i
$327$	−15.7225	+	24.2105i	−0.869454	+	1.33884i
$328$	−0.170591	−	1.07707i	−0.00941931	−	0.0594712i
$329$	1.64563	−	10.3299i	0.0907263	−	0.569508i
$330$	−11.1184	+	6.30466i	−0.612049	+	0.347060i
$331$	−32.4926	−	14.4666i	−1.78596	−	0.795159i	−0.978799	−	0.204822i	$-0.934339\pi$
$331$	−32.4926	−	14.4666i	−1.78596	−	0.795159i	−0.807157	−	0.590337i	$-0.798995\pi$
$332$	−1.06031	−	3.95713i	−0.0581920	−	0.217175i
$333$	2.18928	+	1.77284i	0.119972	+	0.0971512i
$334$	−1.09214	+	1.21294i	−0.0597592	+	0.0663694i
$335$	0.918531	−	0.0409914i	0.0501847	−	0.00223960i
$336$	−4.58767	−	1.76578i	−0.250278	−	0.0963310i
$337$	−10.5938	+	20.7915i	−0.577080	+	1.13258i	0.399360	+	0.916794i	$0.369232\pi$
$337$	−10.5938	+	20.7915i	−0.577080	+	1.13258i	−0.976440	+	0.215789i	$0.930768\pi$
$338$	1.01207	+	19.3115i	0.0550495	+	1.05041i
$339$	2.07821	+	2.30808i	0.112873	+	0.125358i
$340$	−4.36796	+	2.18305i	−0.236886	+	0.118392i
$341$	23.5423	+	21.1975i	1.27488	+	1.14791i
$342$	0.328494	−	2.07403i	0.0177629	−	0.112151i
$343$	15.0125	−	10.8455i	0.810600	−	0.585601i
$344$	4.81930	+	6.63320i	0.259839	+	0.357638i
$345$	−24.3753	−	5.37923i	−1.31232	−	0.289608i
$346$	−2.31535	−	5.20037i	−0.124474	−	0.279574i
$347$	11.9415	+	4.58392i	0.641055	+	0.246078i	0.657112	−	0.753793i	$-0.271778\pi$
$347$	11.9415	+	4.58392i	0.641055	+	0.246078i	−0.0160570	+	0.999871i	$0.505111\pi$
$348$	10.1534	+	6.59370i	0.544280	+	0.353459i
$349$	2.92425			0.156532			0.0782659	−	0.996933i	$-0.475062\pi$
$349$	2.92425			0.156532			0.0782659	+	0.996933i	$0.475062\pi$
$350$	−13.2202	+	0.475287i	−0.706650	+	0.0254051i
$351$	−26.9204			−1.43690
$352$	2.58017	+	1.67558i	0.137524	+	0.0893088i
$353$	−19.9923	−	7.67434i	−1.06408	−	0.408464i	−0.237565	−	0.971372i	$-0.576349\pi$
$353$	−19.9923	−	7.67434i	−1.06408	−	0.408464i	−0.826520	+	0.562908i	$0.809683\pi$
$354$	−10.5636	−	23.7262i	−0.561448	−	1.26103i
$355$	−2.66763	−	27.4271i	−0.141583	−	1.45568i
$356$	−1.56045	−	2.14777i	−0.0827035	−	0.113832i
$357$	−3.32648	+	10.2066i	−0.176056	+	0.540191i
$358$	0.565267	−	3.56896i	0.0298753	−	0.188625i
$359$	16.4011	+	14.7676i	0.865617	+	0.779405i	0.976746	−	0.214401i	$-0.0687799\pi$
$359$	16.4011	+	14.7676i	0.865617	+	0.779405i	−0.111129	+	0.993806i	$0.535447\pi$
$360$	0.997217	+	0.165888i	0.0525579	+	0.00874309i
$361$	1.72223	+	1.91273i	0.0906434	+	0.100670i
$362$	0.0324221	+	0.618650i	0.00170407	+	0.0325155i
$363$	−1.29490	+	2.54139i	−0.0679649	+	0.133389i
$364$	9.45790	+	11.7010i	0.495728	+	0.613301i
$365$	−3.61005	+	2.87725i	−0.188959	+	0.150602i
$366$	−11.5290	+	12.8042i	−0.602630	+	0.669289i
$367$	9.56190	+	7.74308i	0.499127	+	0.404185i	0.845553	−	0.533892i	$-0.179271\pi$
$367$	9.56190	+	7.74308i	0.499127	+	0.404185i	−0.346425	+	0.938078i	$0.612605\pi$
$368$	1.55506	+	5.80355i	0.0810629	+	0.302531i
$369$	0.450387	+	0.200525i	0.0234462	+	0.0104389i
$370$	−2.79100	−	13.6508i	−0.145097	−	0.709673i
$371$	−4.02856	+	1.54226i	−0.209152	+	0.0800703i
$372$	−2.99290	−	18.8964i	−0.155174	−	0.979733i
$373$	1.21500	−	1.87094i	0.0629104	−	0.0968735i	−0.805816	−	0.592167i	$-0.798273\pi$
$373$	1.21500	−	1.87094i	0.0629104	−	0.0968735i	0.868726	+	0.495293i	$0.164939\pi$
$374$	3.35922	−	5.81834i	0.173701	−	0.300859i
$375$	20.1848	−	4.90775i	1.04234	−	0.253435i
$376$	3.42390	−	1.97679i	0.176574	−	0.101945i
$377$	−16.8222	−	33.0154i	−0.866386	−	1.70038i
$378$	−10.1395	+	7.35282i	−0.521517	+	0.378188i
$379$	15.0437	−	20.7059i	0.772745	−	1.06359i	−0.223300	−	0.974750i	$-0.571683\pi$
$379$	15.0437	−	20.7059i	0.772745	−	1.06359i	0.996046	−	0.0888432i	$-0.0283170\pi$
$380$	−7.77202	+	6.88947i	−0.398696	+	0.353423i
$381$	17.3869	−	1.82744i	0.890759	−	0.0936225i
$382$	−7.71789	+	2.06800i	−0.394882	+	0.105808i
$383$	−9.36348	−	24.3927i	−0.478452	−	1.24641i	−0.934343	−	0.356374i	$-0.884013\pi$
$383$	−9.36348	−	24.3927i	−0.478452	−	1.24641i	0.455892	−	0.890035i	$-0.349320\pi$
$384$	−0.574148	−	1.76705i	−0.0292994	−	0.0901742i
$385$	14.8169	−	10.5702i	0.755138	−	0.538709i
$386$	2.10488	−	6.47814i	0.107135	−	0.329729i
$387$	−3.70170	+	0.193998i	−0.188168	+	0.00986148i
$388$	8.82408	+	13.5879i	0.447975	+	0.689821i
$389$	1.19969	−	1.08021i	0.0608269	−	0.0547688i	−0.638157	−	0.769907i	$-0.720303\pi$
$389$	1.19969	−	1.08021i	0.0608269	−	0.0547688i	0.698983	+	0.715138i	$0.253636\pi$
$390$	−18.2446	−	15.0101i	−0.923850	−	0.760068i
$391$	12.4787	−	4.05456i	0.631073	−	0.205048i
$392$	6.75821	+	1.82389i	0.341341	+	0.0921204i
$393$	−25.3151	+	25.3151i	−1.27698	+	1.27698i
$394$	3.83280	−	8.60861i	0.193094	−	0.433696i
$395$	−3.52890	−	4.93725i	−0.177558	−	0.248420i
$396$	−1.27063	+	0.565721i	−0.0638516	+	0.0284286i
$397$	−19.7539	−	24.3940i	−0.991419	−	1.22430i	−0.974487	−	0.224444i	$-0.927943\pi$
$397$	−19.7539	−	24.3940i	−0.991419	−	1.22430i	−0.0169320	−	0.999857i	$-0.505390\pi$
$398$	3.70332	−	1.88693i	0.185631	−	0.0945835i
$399$	−1.21547	+	22.8002i	−0.0608494	+	1.14144i
$400$	−3.28757	−	3.76721i	−0.164378	−	0.188361i
$401$	2.44736	+	4.23895i	0.122215	+	0.211683i	0.920641	−	0.390410i	$-0.127667\pi$
$401$	2.44736	+	4.23895i	0.122215	+	0.211683i	−0.798426	+	0.602093i	$0.794334\pi$
$402$	0.762933	+	0.0399836i	0.0380517	+	0.00199420i
$403$	−20.9847	+	54.6671i	−1.04532	+	2.72316i
$404$	−1.13158	+	10.7662i	−0.0562980	+	0.535640i
$405$	15.3200	−	16.7512i	0.761256	−	0.832375i
$406$	−15.3536	−	7.84044i	−0.761985	−	0.389114i
$407$	13.5553	+	13.5553i	0.671910	+	0.671910i
$408$	−3.78796	+	1.45406i	−0.187532	+	0.0719867i
$409$	4.27463	+	0.908600i	0.211367	+	0.0449274i	0.312378	−	0.949958i	$-0.398874\pi$
$409$	4.27463	+	0.908600i	0.211367	+	0.0449274i	−0.101011	+	0.994885i	$0.532208\pi$
$410$	−1.09012	−	2.18118i	−0.0538373	−	0.107721i
$411$	4.92374	+	23.1644i	0.242870	+	1.14261i
$412$	−6.31398	−	3.21713i	−0.311067	−	0.158497i
$413$	18.4628	+	32.0451i	0.908497	+	1.57684i
$414$	−2.58338	−	0.839391i	−0.126966	−	0.0412538i
$415$	−4.92940	−	7.72117i	−0.241975	−	0.379017i
$416$	−1.18232	+	5.56238i	−0.0579681	+	0.272718i
$417$	14.3521	−	17.7234i	0.702827	−	0.867919i
$418$	3.69842	−	13.8027i	0.180896	−	0.675113i
$419$	−5.72993	+	4.16304i	−0.279925	+	0.203378i	−0.718885	−	0.695129i	$-0.755347\pi$
$419$	−5.72993	+	4.16304i	−0.279925	+	0.203378i	0.438959	+	0.898507i	$0.355347\pi$
$420$	−10.9715	−	0.670330i	−0.535355	−	0.0327087i
$421$	25.6377	+	18.6269i	1.24950	+	0.907818i	0.998193	−	0.0600879i	$-0.0191381\pi$
$421$	25.6377	+	18.6269i	1.24950	+	0.907818i	0.251312	+	0.967906i	$0.419138\pi$
$422$	−8.66271	+	7.01492i	−0.421694	+	0.341481i
$423$	−0.0935456	+	1.78496i	−0.00454834	+	0.0867875i
$424$	−1.41198	−	0.815209i	−0.0685720	−	0.0395901i
$425$	−7.83981	+	7.60009i	−0.380286	+	0.368659i
$426$		−	22.8971i		−	1.10937i
$427$	14.4392	−	19.8364i	0.698763	−	0.959948i
$428$	−1.29215	+	0.204656i	−0.0624584	+	0.00989244i
$429$	32.3273	+	3.39774i	1.56078	+	0.164044i
$430$	14.7482	+	10.8911i	0.711220	+	0.525215i
$431$	1.90464	+	18.1214i	0.0917431	+	0.872878i	0.939513	+	0.342513i	$0.111278\pi$
$431$	1.90464	+	18.1214i	0.0917431	+	0.872878i	−0.847770	+	0.530364i	$0.822055\pi$
$432$	−4.57265	−	1.22524i	−0.220002	−	0.0589493i
$433$	12.7631	+	2.02148i	0.613355	+	0.0971459i	0.455380	−	0.890297i	$-0.349503\pi$
$433$	12.7631	+	2.02148i	0.613355	+	0.0971459i	0.157975	+	0.987443i	$0.449503\pi$
$434$	7.02753	+	26.3218i	0.337332	+	1.26348i
$435$	26.0935	+	7.20927i	1.25109	+	0.345658i
$436$	15.1976	−	3.23035i	0.727833	−	0.154706i
$437$	23.4048	−	15.1993i	1.11960	−	0.727079i
$438$	−3.21700	+	2.08914i	−0.153714	+	0.0998231i
$439$	9.15358	−	1.94565i	0.436876	−	0.0928609i	0.0157772	−	0.999876i	$-0.494978\pi$
$439$	9.15358	−	1.94565i	0.436876	−	0.0928609i	0.421099	+	0.907015i	$0.361644\pi$
$440$	6.63084	+	1.83201i	0.316113	+	0.0873376i
$441$	−2.35562	+	2.11335i	−0.112172	+	0.100636i
$442$	12.2656	+	1.94268i	0.583414	+	0.0924037i
$443$	5.99484	+	1.60631i	0.284823	+	0.0763182i	0.398402	−	0.917211i	$-0.369565\pi$
$443$	5.99484	+	1.60631i	0.284823	+	0.0763182i	−0.113579	+	0.993529i	$0.536231\pi$
$444$	−1.21016	−	11.5139i	−0.0574316	−	0.546426i
$445$	−4.77533	−	3.52644i	−0.226372	−	0.167169i
$446$	2.20048	+	0.231280i	0.104196	+	0.0109514i
$447$	−15.9263	+	2.52247i	−0.753286	+	0.119309i
$448$	1.07395	+	2.41798i	0.0507394	+	0.114239i
$449$		−	28.5155i		−	1.34573i	−0.739766	−	0.672865i	$-0.765064\pi$
$449$		−	28.5155i		−	1.34573i	0.739766	−	0.672865i	$-0.234936\pi$
$450$	2.23788	−	0.318916i	0.105495	−	0.0150338i
$451$	2.90544	+	1.67745i	0.136812	+	0.0789882i
$452$	0.0874857	−	1.66933i	0.00411498	−	0.0785185i
$453$	11.7232	−	9.49324i	0.550803	−	0.446031i
$454$	5.59917	+	4.06803i	0.262782	+	0.190922i
$455$	28.0554	+	18.5668i	1.31526	+	0.870425i
$456$	−6.98173	+	5.07252i	−0.326949	+	0.237543i
$457$	5.36406	−	20.0190i	0.250920	−	0.936447i	−0.719394	−	0.694602i	$-0.755581\pi$
$457$	5.36406	−	20.0190i	0.250920	−	0.936447i	0.970315	−	0.241846i	$-0.0777527\pi$
$458$	5.81086	−	7.17582i	0.271524	−	0.335304i
$459$	−2.14939	+	10.1121i	−0.100325	+	0.471991i
$460$	7.22950	+	11.3239i	0.337077	+	0.527981i
$461$	−21.5734	−	7.00962i	−1.00477	−	0.326471i	−0.240002	−	0.970772i	$-0.577148\pi$
$461$	−21.5734	−	7.00962i	−1.00477	−	0.326471i	−0.764771	+	0.644302i	$0.777148\pi$
$462$	13.1040	−	7.54989i	0.609653	−	0.351252i
$463$	18.2695	+	9.30880i	0.849058	+	0.432617i	0.823676	−	0.567061i	$-0.191920\pi$
$463$	18.2695	+	9.30880i	0.849058	+	0.432617i	0.0253822	+	0.999678i	$0.491920\pi$
$464$	−1.35475	−	6.37358i	−0.0628925	−	0.295886i
$465$	−19.1254	−	38.2672i	−0.886919	−	1.77460i
$466$	−17.1063	−	3.63605i	−0.792434	−	0.168437i
$467$	3.54840	−	1.36210i	0.164200	−	0.0630306i	−0.274879	−	0.961479i	$-0.588638\pi$
$467$	3.54840	−	1.36210i	0.164200	−	0.0630306i	0.439080	+	0.898448i	$0.355305\pi$
$468$	−1.81791	−	1.81791i	−0.0840331	−	0.0840331i
$469$	−1.08646	+	0.0559594i	−0.0501681	+	0.00258396i
$470$	5.96626	−	6.52364i	0.275203	−	0.300913i
$471$	3.34679	−	31.8425i	0.154212	−	1.46723i
$472$	−5.00940	+	13.0499i	−0.230576	+	0.600672i
$473$	−25.1899	−	1.32015i	−1.15823	−	0.0607004i
$474$	−2.52130	−	4.36702i	−0.115807	−	0.200584i
$475$	−11.9227	+	19.9297i	−0.547053	+	0.914439i
$476$	5.15039	−	2.61843i	0.236068	−	0.120015i
$477$	0.656768	−	0.334640i	0.0300713	−	0.0153221i
$478$	−16.9513	−	20.9331i	−0.775333	−	0.957456i
$479$	1.67745	−	0.746847i	0.0766444	−	0.0341243i	−0.368056	−	0.929803i	$-0.619977\pi$
$479$	1.67745	−	0.746847i	0.0766444	−	0.0341243i	0.444701	+	0.895679i	$0.353310\pi$
$480$	−2.41583	−	3.37998i	−0.110267	−	0.154274i
$481$	−14.4124	+	32.3708i	−0.657149	+	1.47598i
$482$	2.74620	−	2.74620i	0.125086	−	0.125086i
$483$	28.8843	+	6.16670i	1.31428	+	0.280595i
$484$	1.46001	−	0.474386i	0.0663641	−	0.0215630i
$485$	27.9767	+	23.0169i	1.27036	+	1.04515i
$486$	3.46319	−	3.11827i	0.157093	−	0.141447i
$487$	−2.19622	−	3.38189i	−0.0995204	−	0.153248i	0.785403	−	0.618985i	$-0.212456\pi$
$487$	−2.19622	−	3.38189i	−0.0995204	−	0.153248i	−0.884923	+	0.465737i	$0.845789\pi$
$488$	9.26069	−	0.485332i	0.419212	−	0.0219700i
$489$	−2.47251	+	7.60960i	−0.111811	+	0.344118i
$490$	15.6381	−	0.669707i	0.706459	−	0.0302543i
$491$	−7.44881	−	22.9251i	−0.336160	−	1.03459i	−0.966148	−	0.257989i	$-0.916940\pi$
$491$	−7.44881	−	22.9251i	−0.336160	−	1.03459i	0.629988	−	0.776605i	$-0.283060\pi$
$492$	−0.726096	−	1.89155i	−0.0327350	−	0.0852775i
$493$	−13.7447	+	3.68287i	−0.619029	+	0.165868i
$494$	26.2684	−	2.76093i	1.18187	−	0.124220i
$495$	−2.32734	+	2.06306i	−0.104606	+	0.0927276i
$496$	−6.05252	+	8.33058i	−0.271766	+	0.374054i
$497$	3.37902	+	32.4298i	0.151570	+	1.45467i
$498$	−3.45561	−	6.78201i	−0.154849	−	0.303909i
$499$	−8.37163	+	4.83336i	−0.374766	+	0.216371i	−0.675538	−	0.737325i	$-0.736089\pi$
$499$	−8.37163	+	4.83336i	−0.374766	+	0.216371i	0.300773	+	0.953696i	$0.402755\pi$
$500$	−9.54967	−	5.81411i	−0.427074	−	0.260015i
$501$	−1.51628	+	2.62627i	−0.0677423	+	0.117333i
$502$	−14.2106	+	21.8825i	−0.634252	+	0.976663i
$503$	1.17933	+	7.44597i	0.0525835	+	0.331999i	0.999930	+	0.0117904i	$0.00375310\pi$
$503$	1.17933	+	7.44597i	0.0525835	+	0.331999i	−0.947347	+	0.320209i	$0.896247\pi$
$504$	−1.18124	−	0.188179i	−0.0526167	−	0.00838218i
$505$	4.84890	+	23.7160i	0.215773	+	1.05535i
$506$	−16.8864	−	7.51831i	−0.750692	−	0.334230i
$507$	9.29927	+	34.7054i	0.412995	+	1.54132i
$508$	−7.31256	−	5.92159i	−0.324442	−	0.262728i
$509$	−19.0550	+	21.1627i	−0.844596	+	0.938019i	−0.998748	−	0.0500282i	$-0.984069\pi$
$509$	−19.0550	+	21.1627i	−0.844596	+	0.938019i	0.154152	+	0.988047i	$0.450736\pi$
$510$	−7.09495	+	5.65476i	−0.314170	+	0.250397i
$511$	4.24801	−	3.43365i	0.187921	−	0.151896i
$512$	−0.453990	+	0.891007i	−0.0200637	+	0.0393773i
$513$	1.15077	+	21.9580i	0.0508077	+	0.969468i
$514$	6.45479	+	7.16877i	0.284709	+	0.316201i
$515$	−15.6307	−	2.60020i	−0.688773	−	0.114578i
$516$	11.3209	+	10.1934i	0.498374	+	0.448738i
$517$	−1.90274	+	12.0135i	−0.0836826	+	0.528351i
$518$	3.41313	+	16.1288i	0.149964	+	0.708660i
$519$	−6.21676	−	8.55664i	−0.272886	−	0.375595i
$520$	1.23095	+	12.6560i	0.0539809	+	0.555003i
$521$	−16.7136	−	37.5394i	−0.732237	−	1.64463i	−0.764066	−	0.645138i	$-0.776800\pi$
$521$	−16.7136	−	37.5394i	−0.732237	−	1.64463i	0.0318284	−	0.999493i	$-0.489867\pi$
$522$	2.75019	+	1.05570i	0.120373	+	0.0462067i
$523$	−9.00009	−	5.84473i	−0.393547	−	0.255572i	0.332663	−	0.943046i	$-0.392053\pi$
$523$	−9.00009	−	5.84473i	−0.393547	−	0.255572i	−0.726209	+	0.687474i	$0.758720\pi$
$524$	19.2687			0.841758
$525$	−23.8426	+	5.97070i	−1.04057	+	0.260583i
$526$	−16.6488			−0.725921
$527$	18.8591	+	12.2472i	0.821515	+	0.533498i
$528$	5.33642	+	2.04846i	0.232238	+	0.0891478i
$529$	−5.32800	−	11.9669i	−0.231652	−	0.520300i
$530$	−3.56007	−	0.785647i	−0.154639	−	0.0341263i
$531$	−3.71456	−	5.11265i	−0.161198	−	0.221870i
$532$	9.13981	−	8.21466i	0.396261	−	0.356150i
$533$	−0.970091	+	6.12491i	−0.0420193	+	0.265299i
$534$	−3.66560	−	3.30052i	−0.158626	−	0.142827i
$535$	−2.61674	+	1.30781i	−0.113131	+	0.0565415i
$536$	−0.275139	−	0.305572i	−0.0118842	−	0.0131987i
$537$	−0.351369	−	6.70452i	−0.0151627	−	0.289321i
$538$	−10.1609	+	19.9419i	−0.438069	+	0.859758i
$539$	−17.4453	+	12.6269i	−0.751423	+	0.543879i
$540$	−10.5749	+	0.471929i	−0.455072	+	0.0203086i
$541$	14.5027	−	16.1069i	0.623520	−	0.692489i	−0.345795	−	0.938310i	$-0.612391\pi$
$541$	14.5027	−	16.1069i	0.623520	−	0.692489i	0.969315	+	0.245821i	$0.0790576\pi$
$542$	−5.82365	−	4.71590i	−0.250147	−	0.202565i
$543$	0.297906	+	1.11180i	0.0127844	+	0.0477118i
$544$	1.99500	+	0.888229i	0.0855347	+	0.0380825i
$545$	30.2214	−	17.1370i	1.29454	−	0.734067i
$546$	21.7087	+	17.6117i	0.929045	+	0.753710i
$547$	−1.44873	−	9.14693i	−0.0619433	−	0.391094i	−0.999109	−	0.0422094i	$-0.986560\pi$
$547$	−1.44873	−	9.14693i	−0.0619433	−	0.391094i	0.937166	−	0.348885i	$-0.113440\pi$
$548$	6.94198	−	10.6897i	0.296547	−	0.456642i
$549$	−2.09624	+	3.63080i	−0.0894654	+	0.154959i
$550$	15.3721	−	0.566491i	0.655467	−	0.0241553i
$551$	−26.2104	+	15.1326i	−1.11660	+	0.644669i
$552$	5.06802	+	9.94655i	0.215709	+	0.423353i
$553$	4.21544	+	5.81304i	0.179259	+	0.247196i
$554$	10.3288	−	14.2164i	0.438828	−	0.603995i
$555$	−10.3456	−	23.7306i	−0.439145	−	1.00731i
$556$	−12.2072	+	1.28303i	−0.517703	+	0.0544127i
$557$	21.7628	−	5.83133i	0.922121	−	0.247082i	0.233629	−	0.972326i	$-0.424940\pi$
$557$	21.7628	−	5.83133i	0.922121	−	0.247082i	0.688492	+	0.725244i	$0.258273\pi$
$558$	−1.66832	−	4.34612i	−0.0706255	−	0.183986i
$559$	−14.4080	−	44.3433i	−0.609394	−	1.87552i
$560$	3.92040	+	4.43063i	0.165667	+	0.187228i
$561$	3.85738	−	11.8718i	0.162859	−	0.501228i
$562$	6.20948	−	0.325425i	0.261931	−	0.0137272i
$563$	−22.2840	−	34.3143i	−0.939158	−	1.44618i	−0.894446	−	0.447176i	$-0.852430\pi$
$563$	−22.2840	−	34.3143i	−0.939158	−	1.44618i	−0.0447116	−	0.999000i	$-0.514237\pi$
$564$	5.45891	−	4.91523i	0.229862	−	0.206968i
$565$	−0.939372	−	3.61789i	−0.0395197	−	0.152206i
$566$	−7.90908	+	2.56982i	−0.332443	+	0.108017i
$567$	−17.9904	+	19.9443i	−0.755525	+	0.837580i
$568$	−8.71414	+	8.71414i	−0.365637	+	0.365637i
$569$	5.08048	−	11.4109i	0.212985	−	0.478372i	−0.775185	−	0.631734i	$-0.782343\pi$
$569$	5.08048	−	11.4109i	0.212985	−	0.478372i	0.988170	+	0.153362i	$0.0490101\pi$
$570$	−11.4633	+	15.5231i	−0.480146	+	0.650191i
$571$	17.2834	−	7.69508i	0.723289	−	0.322029i	−0.0118644	−	0.999930i	$-0.503777\pi$
$571$	17.2834	−	7.69508i	0.723289	−	0.322029i	0.735154	+	0.677900i	$0.237110\pi$
$572$	−11.0099	−	13.5962i	−0.460349	−	0.568484i
$573$	−13.2275	+	6.73974i	−0.552586	+	0.281557i
$574$	1.30753	+	2.57189i	0.0545753	+	0.107349i
$575$	23.0502	+	19.2658i	0.961261	+	0.803440i
$576$	−0.226049	−	0.391528i	−0.00941870	−	0.0163137i
$577$	32.3076	+	1.69317i	1.34498	+	0.0704876i	0.711182	−	0.703008i	$-0.248160\pi$
$577$	32.3076	+	1.69317i	1.34498	+	0.0704876i	0.633802	+	0.773496i	$0.281493\pi$
$578$	−4.38321	+	11.4187i	−0.182318	+	0.474954i
$579$	1.32288	−	12.5864i	0.0549770	−	0.523071i
$580$	−7.18691	−	12.6743i	−0.298420	−	0.526271i
$581$	5.89511	+	9.09557i	0.244570	+	0.377348i
$582$	21.2857	+	21.2857i	0.882319	+	0.882319i
$583$	4.68282	−	1.79757i	0.193943	−	0.0744476i
$584$	2.01940	+	0.429236i	0.0835633	+	0.0177619i
$585$	−5.10176	−	2.64956i	−0.210932	−	0.109546i
$586$	−2.06482	−	9.71422i	−0.0852970	−	0.401291i
$587$	4.14660	+	2.11280i	0.171148	+	0.0872045i	0.537466	−	0.843285i	$-0.319382\pi$
$587$	4.14660	+	2.11280i	0.171148	+	0.0872045i	−0.366318	+	0.930490i	$0.619382\pi$
$588$	12.9868	+	0.704033i	0.535567	+	0.0290338i
$589$	45.4870	+	14.7796i	1.87426	+	0.608984i
$590$	−1.87808	+	31.2001i	−0.0773194	+	1.28449i
$591$	3.64018	−	17.1257i	0.149737	−	0.704458i
$592$	−3.92138	+	4.84250i	−0.161168	+	0.199025i
$593$	−4.37458	+	16.3261i	−0.179642	+	0.670434i	0.816072	+	0.577950i	$0.196147\pi$
$593$	−4.37458	+	16.3261i	−0.179642	+	0.670434i	−0.995714	+	0.0924837i	$0.970519\pi$
$594$	11.7825	−	8.56052i	0.483444	−	0.351242i
$595$	9.21425	−	9.05600i	0.377747	−	0.371260i
$596$	7.02118	+	5.10118i	0.287599	+	0.208953i
$597$	6.00142	−	4.85986i	0.245622	−	0.198901i
$598$	1.78816	−	34.1201i	0.0731233	−	1.39528i
$599$	−8.61794	−	4.97557i	−0.352119	−	0.203296i	0.313499	−	0.949589i	$-0.398499\pi$
$599$	−8.61794	−	4.97557i	−0.352119	−	0.203296i	−0.665618	+	0.746292i	$0.731832\pi$
$600$	−7.43002	−	5.57649i	−0.303329	−	0.227659i
$601$			48.7724i			1.98947i	0.102492	+	0.994734i	$0.467318\pi$
$601$			48.7724i			1.98947i	−0.102492	+	0.994734i	$0.532682\pi$
$602$	−17.5383	−	12.7664i	−0.714808	−	0.520321i
$603$	0.183608	−	0.0290807i	0.00747711	−	0.00118426i
$604$	−8.07450	−	0.848664i	−0.328547	−	0.0345316i
$605$	2.79268	−	1.99607i	0.113539	−	0.0811517i
$606$	2.10245	+	20.0035i	0.0854062	+	0.812585i
$607$	−41.7010	−	11.1737i	−1.69259	−	0.453528i	−0.721534	−	0.692379i	$-0.756563\pi$
$607$	−41.7010	−	11.1737i	−1.69259	−	0.453528i	−0.971056	+	0.238851i	$0.923229\pi$
$608$	4.58758	+	0.726601i	0.186051	+	0.0294676i
$609$	−30.9320	−	8.31803i	−1.25343	−	0.337064i
$610$	19.4158	−	7.28061i	0.786122	−	0.294783i
$611$	−21.9913	+	4.67441i	−0.889675	+	0.189106i
$612$	−0.828009	+	0.537716i	−0.0334703	+	0.0217359i
$613$	33.8674	−	21.9938i	1.36789	−	0.888319i	0.368742	−	0.929532i	$-0.379789\pi$
$613$	33.8674	−	21.9938i	1.36789	−	0.888319i	0.999150	+	0.0412124i	$0.0131220\pi$
$614$	−4.39131	+	0.933401i	−0.177219	+	0.0376690i
$615$	−2.82375	−	3.54292i	−0.113864	−	0.142864i
$616$	−7.86041	−	2.11377i	−0.316705	−	0.0851661i
$617$	−0.273851	−	0.0433738i	−0.0110248	−	0.00174616i	0.150920	−	0.988546i	$-0.451777\pi$
$617$	−0.273851	−	0.0433738i	−0.0110248	−	0.00174616i	−0.161944	+	0.986800i	$0.551777\pi$
$618$	−12.7177	−	3.40769i	−0.511579	−	0.137077i
$619$	2.01860	+	19.2057i	0.0811342	+	0.771940i	0.957137	+	0.289635i	$0.0935338\pi$
$619$	2.01860	+	19.2057i	0.0811342	+	0.771940i	−0.876003	+	0.482306i	$0.839799\pi$
$620$	−7.28493	+	21.8423i	−0.292570	+	0.877210i
$621$	28.2871	+	2.97310i	1.13512	+	0.119306i
$622$	22.3291	−	3.53659i	0.895317	−	0.141804i
$623$	5.67875	+	4.13366i	0.227514	+	0.165612i
$624$			10.5657i			0.422966i
$625$	−24.2805	−	5.95443i	−0.971222	−	0.238177i
$626$	−18.3232	−	10.5789i	−0.732343	−	0.422818i
$627$	1.38951	−	26.5135i	0.0554918	−	1.05885i
$628$	−13.3923	+	10.8448i	−0.534410	+	0.432757i
$629$	11.0087	+	7.99829i	0.438946	+	0.318913i
$630$	−2.64524	+	0.395510i	−0.105389	+	0.0157575i
$631$	−2.12526	+	1.54409i	−0.0846053	+	0.0614694i	−0.629284	−	0.777176i	$-0.716652\pi$
$631$	−2.12526	+	1.54409i	−0.0846053	+	0.0614694i	0.544678	+	0.838645i	$0.316652\pi$
$632$	−0.702441	+	2.62154i	−0.0279416	+	0.104279i
$633$	−13.0336	+	16.0952i	−0.518039	+	0.639725i
$634$	−2.46458	+	11.5949i	−0.0978809	+	0.460493i
$635$	−19.5837	−	7.69241i	−0.777155	−	0.305264i
$636$	−2.88102	−	0.936102i	−0.114240	−	0.0371188i
$637$	−33.3455	−	21.7402i	−1.32120	−	0.861378i
$638$	17.8615	+	9.10087i	0.707142	+	0.360307i
$639$	−1.15838	−	5.44974i	−0.0458248	−	0.215589i
$640$	−0.366931	+	2.20576i	−0.0145042	+	0.0871902i
$641$	−40.6298	−	8.63613i	−1.60478	−	0.341107i	−0.683483	−	0.729966i	$-0.739536\pi$
$641$	−40.6298	−	8.63613i	−1.60478	−	0.341107i	−0.921297	+	0.388860i	$0.872869\pi$
$642$	−2.26927	+	0.871091i	−0.0895610	+	0.0343792i
$643$	−28.0452	−	28.0452i	−1.10599	−	1.10599i	−0.993672	−	0.112323i	$-0.964171\pi$
$643$	−28.0452	−	28.0452i	−1.10599	−	1.10599i	−0.112323	−	0.993672i	$-0.535829\pi$
$644$	−8.64581	−	13.3396i	−0.340693	−	0.525655i
$645$	31.0102	+	14.0961i	1.22103	+	0.555033i
$646$	1.06025	−	10.0876i	0.0417151	−	0.396893i
$647$	−10.0660	+	26.2229i	−0.395736	+	1.03093i	0.580508	+	0.814254i	$0.302854\pi$
$647$	−10.0660	+	26.2229i	−0.395736	+	1.03093i	−0.976244	+	0.216673i	$0.930479\pi$
$648$	−10.1380	−	0.531309i	−0.398258	−	0.0208718i
$649$	−21.5022	−	37.2430i	−0.844037	−	1.46191i
$650$	11.1602	+	26.1515i	0.437740	+	1.02574i
$651$	22.9397	+	45.1220i	0.899078	+	1.76847i
$652$	3.83703	−	1.95506i	0.150270	−	0.0765662i
$653$	−9.72206	−	12.0057i	−0.380453	−	0.469821i	0.550565	−	0.834792i	$-0.314412\pi$
$653$	−9.72206	−	12.0057i	−0.380453	−	0.469821i	−0.931019	+	0.364971i	$0.881079\pi$
$654$	26.3719	−	11.7415i	1.03122	−	0.459131i
$655$	41.0795	−	12.9959i	1.60511	−	0.507791i
$656$	−0.443544	+	0.996217i	−0.0173175	+	0.0388957i
$657$	−0.659986	+	0.659986i	−0.0257485	+	0.0257485i
$658$	−7.00623	+	7.76715i	−0.273131	+	0.302795i
$659$	−16.0301	+	5.20850i	−0.624445	+	0.202895i	−0.604113	−	0.796899i	$-0.706472\pi$
$659$	−16.0301	+	5.20850i	−0.624445	+	0.202895i	−0.0203322	+	0.999793i	$0.506472\pi$
$660$	12.7585	+	0.767992i	0.496622	+	0.0298940i
$661$	21.3944	−	19.2636i	0.832146	−	0.749268i	−0.138350	−	0.990383i	$-0.544180\pi$
$661$	21.3944	−	19.2636i	0.832146	−	0.749268i	0.970496	+	0.241115i	$0.0775132\pi$
$662$	19.3715	+	29.8295i	0.752895	+	1.15936i
$663$	23.0417	−	1.20756i	0.894865	−	0.0468979i
$664$	−1.26596	+	3.89621i	−0.0491286	+	0.151202i
$665$	13.9450	−	23.6774i	0.540764	−	0.918172i
$666$	−0.870525	−	2.67920i	−0.0337321	−	0.103817i
$667$	14.0300	+	36.5494i	0.543244	+	1.41520i
$668$	1.57656	−	0.422439i	0.0609990	−	0.0163446i
$669$	4.08845	−	0.429714i	0.158069	−	0.0166137i
$670$	−0.792670	−	0.465889i	−0.0306235	−	0.0179989i
$671$	−16.7693	+	23.0810i	−0.647371	+	0.891030i
$672$	2.88583	+	3.97953i	0.111323	+	0.153514i
$673$	−1.66724	−	3.27214i	−0.0642674	−	0.126132i	0.856638	−	0.515918i	$-0.172549\pi$
$673$	−1.66724	−	3.27214i	−0.0642674	−	0.126132i	−0.920906	+	0.389786i	$0.872549\pi$
$674$	20.2085	−	11.6674i	0.778404	−	0.449412i
$675$	−22.2267	+	8.13843i	−0.855505	+	0.313248i
$676$	9.66899	−	16.7472i	0.371884	−	0.644123i
$677$	−1.09135	+	1.68053i	−0.0419439	+	0.0645880i	−0.859021	−	0.511941i	$-0.828927\pi$
$677$	−1.09135	+	1.68053i	−0.0419439	+	0.0645880i	0.817077	+	0.576529i	$0.195593\pi$
$678$	−0.485859	−	3.06760i	−0.0186593	−	0.117810i
$679$	−33.2886	−	27.0062i	−1.27750	−	1.03640i
$680$	4.85225	+	0.548105i	0.186075	+	0.0210189i
$681$	11.7473	+	5.23023i	0.450157	+	0.200423i
$682$	−8.19919	−	30.5998i	−0.313963	−	1.17173i
$683$	38.6874	+	31.3284i	1.48033	+	1.19875i	0.931984	+	0.362500i	$0.118077\pi$
$683$	38.6874	+	31.3284i	1.48033	+	1.19875i	0.548349	+	0.836250i	$0.315257\pi$
$684$	−1.40510	+	1.56052i	−0.0537253	+	0.0596679i
$685$	7.59007	−	27.4718i	0.290002	−	1.04964i
$686$	−18.4974	+	0.919377i	−0.706235	+	0.0351020i
$687$	7.78856	−	15.2859i	0.297152	−	0.583194i
$688$	−0.429107	−	8.18784i	−0.0163595	−	0.312159i
$689$	6.20392	+	6.89016i	0.236351	+	0.262494i
$690$	17.5131	+	17.7872i	0.666714	+	0.677146i
$691$	13.0399	+	11.7412i	0.496063	+	0.446657i	0.878793	−	0.477203i	$-0.158349\pi$
$691$	13.0399	+	11.7412i	0.496063	+	0.446657i	−0.382730	+	0.923860i	$0.625016\pi$
$692$	−0.890506	+	5.62243i	−0.0338519	+	0.213733i
$693$	2.73692	−	2.45989i	0.103967	−	0.0934433i
$694$	−7.51842	−	10.3482i	−0.285395	−	0.392813i
$695$	−25.1596	+	10.9686i	−0.954358	+	0.416062i
$696$	−4.92418	−	11.0599i	−0.186651	−	0.419224i
$697$	2.22324	+	0.853423i	0.0842114	+	0.0323257i
$698$	−2.45249	−	1.59266i	−0.0928280	−	0.0602832i
$699$	−32.4932			−1.22901
$700$	11.3463	+	6.80164i	0.428849	+	0.257078i
$701$	0.247247			0.00933838			0.00466919	−	0.999989i	$-0.498514\pi$
$701$	0.247247			0.00933838			0.00466919	+	0.999989i	$0.498514\pi$
$702$	22.5773	+	14.6619i	0.852126	+	0.553377i
$703$	27.0198	+	10.3719i	1.01907	+	0.391185i
$704$	−1.25133	−	2.81052i	−0.0471611	−	0.105926i
$705$	8.32290	−	14.1607i	0.313458	−	0.533322i
$706$	12.5872	+	17.3249i	0.473727	+	0.652029i
$707$	−5.92974	−	28.0211i	−0.223011	−	1.05384i
$708$	−4.06285	+	25.6518i	−0.152691	+	0.964054i
$709$	14.9342	+	13.4468i	0.560866	+	0.505006i	0.900093	−	0.435698i	$-0.143499\pi$
$709$	14.9342	+	13.4468i	0.560866	+	0.505006i	−0.339226	+	0.940705i	$0.610165\pi$
$710$	−12.7006	+	24.4552i	−0.476646	+	0.917788i
$711$	−0.821025	−	0.911841i	−0.0307908	−	0.0341967i
$712$	0.138941	+	2.65115i	0.00520703	+	0.0993561i
$713$	28.0876	−	55.1250i	1.05189	−	2.06445i
$714$	8.34874	−	6.74825i	0.312444	−	0.252547i
$715$	−32.6424	−	21.5603i	−1.22076	−	0.806309i
$716$	−2.41787	+	2.68531i	−0.0903599	+	0.100355i
$717$	−38.8933	−	31.4951i	−1.45250	−	1.17621i
$718$	−5.71210	−	21.3178i	−0.213174	−	0.795575i
$719$	32.8846	+	14.6412i	1.22639	+	0.546024i	0.914690	−	0.404157i	$-0.132435\pi$
$719$	32.8846	+	14.6412i	1.22639	+	0.546024i	0.311700	+	0.950181i	$0.399102\pi$
$720$	−0.745987	−	0.682249i	−0.0278013	−	0.0254259i
$721$	18.5152	+	2.94959i	0.689543	+	0.109849i
$722$	−0.402635	−	2.54214i	−0.0149845	−	0.0946086i
$723$	3.93004	−	6.05173i	0.146160	−	0.225066i
$724$	0.309750	−	0.536502i	0.0115118	−	0.0199389i
$725$	−23.8702	−	22.1734i	−0.886517	−	0.823499i
$726$	2.47014	−	1.42614i	0.0916755	−	0.0529289i
$727$	−11.5048	−	22.5795i	−0.426690	−	0.837427i	−0.999838	−	0.0179750i	$-0.994278\pi$
$727$	−11.5048	−	22.5795i	−0.426690	−	0.837427i	0.573148	−	0.819452i	$-0.305722\pi$
$728$	−1.55922	−	14.9644i	−0.0577886	−	0.554619i
$729$	−12.8121	+	17.6343i	−0.474521	+	0.653122i
$730$	4.59471	−	0.446893i	0.170058	−	0.0165402i
$731$	−17.8070	+	1.87159i	−0.658616	+	0.0692234i
$732$	16.6427	−	4.45940i	0.615133	−	0.164824i
$733$	−15.3393	−	39.9602i	−0.566570	−	1.47596i	−0.855084	−	0.518489i	$-0.826495\pi$
$733$	−15.3393	−	39.9602i	−0.566570	−	1.47596i	0.288515	−	0.957475i	$-0.406839\pi$
$734$	−3.80211	−	11.7017i	−0.140338	−	0.431917i
$735$	28.1618	−	7.25807i	1.03876	−	0.267718i
$736$	1.85666	−	5.71421i	0.0684374	−	0.210629i
$737$	1.26329	−	0.0662061i	0.0465338	−	0.00243873i
$738$	−0.268512	−	0.413473i	−0.00988408	−	0.0152201i
$739$	−25.2257	+	22.7133i	−0.927942	+	0.835523i	−0.986667	−	0.162751i	$-0.947963\pi$
$739$	−25.2257	+	22.7133i	−0.927942	+	0.835523i	0.0587247	+	0.998274i	$0.481297\pi$
$740$	−5.09404	+	12.9686i	−0.187261	+	0.476736i
$741$	46.6732	−	15.1651i	1.71458	−	0.557102i
$742$	4.21861	+	0.900659i	0.154870	+	0.0330642i
$743$	31.9462	−	31.9462i	1.17199	−	1.17199i	0.190258	−	0.981734i	$-0.439067\pi$
$743$	31.9462	−	31.9462i	1.17199	−	1.17199i	0.981734	−	0.190258i	$-0.0609326\pi$
$744$	−7.78166	+	17.4779i	−0.285290	+	0.640771i
$745$	18.4091	+	6.13988i	0.674459	+	0.224948i
$746$	−2.03797	+	0.907363i	−0.0746154	+	0.0332209i
$747$	−1.16557	−	1.43936i	−0.0426461	−	0.0526636i
$748$	−5.98618	+	3.05011i	−0.218876	+	0.111523i
$749$	3.08547	−	1.56863i	0.112741	−	0.0573166i
$750$	−19.6013	−	6.87745i	−0.715740	−	0.251129i
$751$	19.7675	+	34.2384i	0.721327	+	1.24938i	0.960468	+	0.278391i	$0.0898009\pi$
$751$	19.7675	+	34.2384i	0.721327	+	1.24938i	−0.239141	+	0.970985i	$0.576866\pi$
$752$	−3.94817	−	0.206915i	−0.143975	−	0.00754540i
$753$	−17.3730	+	45.2583i	−0.633109	+	1.64930i
$754$	−3.87320	+	36.8510i	−0.141054	+	1.34204i
$755$	−17.7866	+	3.63659i	−0.647321	+	0.132349i
$756$	12.5083	−	0.644253i	0.454922	−	0.0234313i
$757$	−20.6424	−	20.6424i	−0.750260	−	0.750260i	0.224268	−	0.974528i	$-0.428001\pi$
$757$	−20.6424	−	20.6424i	−0.750260	−	0.750260i	−0.974528	+	0.224268i	$0.928001\pi$
$758$	−23.8940	+	9.17205i	−0.867870	+	0.333144i
$759$	−33.5933	−	7.14048i	−1.21936	−	0.259183i
$760$	10.2704	−	1.54505i	0.372548	−	0.0560450i
$761$	−7.84031	−	36.8857i	−0.284211	−	1.33711i	−0.856114	−	0.516786i	$-0.827128\pi$
$761$	−7.84031	−	36.8857i	−0.284211	−	1.33711i	0.571904	−	0.820321i	$-0.306205\pi$
$762$	−15.5772	−	7.93698i	−0.564302	−	0.287526i
$763$	−35.6185	+	20.5217i	−1.28948	+	0.742934i
$764$	7.59909	+	2.46909i	0.274925	+	0.0893286i
$765$	−1.40259	+	1.70482i	−0.0507108	+	0.0616381i
$766$	−5.43234	+	25.5572i	−0.196279	+	0.923418i
$767$	50.0247	−	61.7754i	1.80629	−	2.23058i
$768$	−0.480881	+	1.79467i	−0.0173523	+	0.0647597i
$769$	11.8009	−	8.57387i	0.425552	−	0.309181i	−0.354316	−	0.935126i	$-0.615286\pi$
$769$	11.8009	−	8.57387i	0.425552	−	0.309181i	0.779868	+	0.625944i	$0.215286\pi$
$770$	−18.1834	+	0.795092i	−0.655286	+	0.0286531i
$771$	14.5001	+	10.5349i	0.522208	+	0.379406i
$772$	−5.29355	+	4.28663i	−0.190519	+	0.154279i
$773$	0.0902859	−	1.72276i	0.00324736	−	0.0619633i	−0.996525	−	0.0832924i	$-0.973456\pi$
$773$	0.0902859	−	1.72276i	0.00324736	−	0.0619633i	0.999773	+	0.0213291i	$0.00678979\pi$
$774$	3.21017	+	1.85339i	0.115387	+	0.0666188i
$775$	−0.799264	+	51.4796i	−0.0287104	+	1.84920i
$776$		−	16.2017i		−	0.581607i
$777$	12.4335	+	27.9937i	0.446048	+	1.00427i
$778$	−1.59447	+	0.252540i	−0.0571646	+	0.00905398i
$779$	5.03734	+	0.529446i	0.180482	+	0.0189694i
$780$	7.12608	+	22.5253i	0.255155	+	0.806534i
$781$	−3.96307	−	37.7060i	−0.141810	−	1.34923i
$782$	−12.6738	−	3.39592i	−0.453213	−	0.121438i
$783$	−30.4665	−	4.82543i	−1.08879	−	0.172447i
$784$	−4.67455	−	5.21043i	−0.166948	−	0.186087i
$785$	−21.2370	+	32.1529i	−0.757980	+	1.14759i
$786$	35.0186	−	7.44343i	1.24907	−	0.265498i
$787$	−8.73240	+	5.67089i	−0.311276	+	0.202145i	−0.690817	−	0.723030i	$-0.742749\pi$
$787$	−8.73240	+	5.67089i	−0.311276	+	0.202145i	0.379540	+	0.925175i	$0.376082\pi$
$788$	−7.90304	+	5.13230i	−0.281534	+	0.182830i
$789$	−30.2571	+	6.43136i	−1.07718	+	0.228962i
$790$	0.270561	+	6.06270i	0.00962614	+	0.215701i
$791$	1.14083	+	4.27301i	0.0405633	+	0.151931i
$792$	1.37375	+	0.217581i	0.0488142	+	0.00773141i
$793$	−50.9377	−	13.6487i	−1.80885	−	0.484680i
$794$	3.28107	+	31.2173i	0.116441	+	1.10786i
$795$	−6.77349	−	0.0525789i	−0.240231	−	0.00186478i
$796$	−4.13356	−	0.434455i	−0.146510	−	0.0153988i
$797$	11.4319	−	1.81064i	0.404939	−	0.0641361i	0.0493573	−	0.998781i	$-0.484283\pi$
$797$	11.4319	−	1.81064i	0.404939	−	0.0641361i	0.355582	+	0.934645i	$0.384283\pi$
$798$	13.4372	−	18.4598i	0.475673	−	0.653471i
$799$			8.63381i			0.305442i
$800$	0.705414	+	4.94999i	0.0249401	+	0.175009i
$801$	−1.03942	−	0.600112i	−0.0367262	−	0.0212039i
$802$	0.256170	−	4.88801i	0.00904567	−	0.172602i
$803$	−4.93602	+	3.99711i	−0.174189	+	0.141055i
$804$	−0.618073	−	0.449056i	−0.0217978	−	0.0158370i
$805$	−27.4292	−	22.6079i	−0.966753	−	0.796824i
$806$	47.3731	−	34.4186i	1.66865	−	1.21234i
$807$	−10.7628	+	40.1672i	−0.378868	+	1.41395i
$808$	6.81273	−	8.41302i	0.239671	−	0.295969i
$809$	−0.865976	+	4.07410i	−0.0304461	+	0.143238i	−0.990745	−	0.135735i	$-0.956660\pi$
$809$	−0.865976	+	4.07410i	−0.0304461	+	0.143238i	0.960299	+	0.278972i	$0.0899938\pi$
$810$	−21.9718	+	5.70490i	−0.772010	+	0.200450i
$811$	−40.5295	−	13.1688i	−1.42318	−	0.462420i	−0.506570	−	0.862199i	$-0.669087\pi$
$811$	−40.5295	−	13.1688i	−1.42318	−	0.462420i	−0.916612	+	0.399779i	$0.869087\pi$
$812$	8.60639	+	14.9377i	0.302025	+	0.524211i
$813$	−12.4055	−	6.32093i	−0.435081	−	0.221685i
$814$	−3.98568	−	18.7512i	−0.139698	−	0.657228i
$815$	6.86166	−	6.75595i	0.240353	−	0.236651i
$816$	3.96879	+	0.843591i	0.138935	+	0.0295316i
$817$	−35.5533	+	13.6477i	−1.24385	+	0.477471i
$818$	−3.09014	−	3.09014i	−0.108044	−	0.108044i
$819$	6.05786	+	3.09350i	0.211679	+	0.108096i
$820$	−0.273701	+	2.42301i	−0.00955804	+	0.0846152i
$821$	−3.34172	+	31.7944i	−0.116627	+	1.10963i	0.767067	+	0.641567i	$0.221715\pi$
$821$	−3.34172	+	31.7944i	−0.116627	+	1.10963i	−0.883694	+	0.468065i	$0.844951\pi$
$822$	8.48683	−	22.1090i	0.296012	−	0.771138i
$823$	11.4446	+	0.599786i	0.398934	+	0.0209072i	0.250748	−	0.968052i	$-0.419323\pi$
$823$	11.4446	+	0.599786i	0.398934	+	0.0209072i	0.148186	+	0.988960i	$0.452657\pi$
$824$	3.54317	+	6.13695i	0.123432	+	0.213791i
$825$	27.7181	−	6.96770i	0.965019	−	0.242584i
$826$	1.96877	−	36.9309i	0.0685022	−	1.28499i
$827$	−41.5339	+	21.1626i	−1.44427	+	0.735894i	−0.988073	−	0.153983i	$-0.950790\pi$
$827$	−41.5339	+	21.1626i	−1.44427	+	0.735894i	−0.456200	+	0.889877i	$0.650790\pi$
$828$	1.70944	+	2.11098i	0.0594071	+	0.0733617i
$829$	−10.0623	+	4.48002i	−0.349477	+	0.155597i	−0.573966	−	0.818879i	$-0.694596\pi$
$829$	−10.0623	+	4.48002i	−0.349477	+	0.155597i	0.224488	+	0.974477i	$0.427929\pi$
$830$	−0.0711060	+	9.16026i	−0.00246813	+	0.317957i
$831$	13.2796	−	29.8265i	0.460665	−	1.03467i
$832$	4.02107	−	4.02107i	0.139405	−	0.139405i
$833$	−10.8287	+	10.7898i	−0.375191	+	0.373843i
$834$	−21.6896	+	7.04737i	−0.751049	+	0.244031i
$835$	3.07620	−	1.96393i	0.106456	−	0.0679645i
$836$	−10.6193	+	9.56162i	−0.367275	+	0.330696i
$837$	26.5492	+	40.8821i	0.917673	+	1.41309i
$838$	7.07288	−	0.370674i	0.244328	−	0.0128047i
$839$	2.73088	−	8.40477i	0.0942803	−	0.290165i	−0.892785	−	0.450483i	$-0.851252\pi$
$839$	2.73088	−	8.40477i	0.0942803	−	0.290165i	0.987065	+	0.160318i	$0.0512519\pi$
$840$	8.83640	+	6.53770i	0.304885	+	0.225572i
$841$	−4.15870	−	12.7992i	−0.143404	−	0.441351i
$842$	−11.3567	−	29.5851i	−0.391376	−	1.01957i
$843$	11.1593	−	2.99012i	0.384346	−	0.102985i
$844$	11.0858	−	1.16516i	0.381588	−	0.0401065i
$845$	9.31836	−	42.2251i	0.320561	−	1.45259i
$846$	1.05061	−	1.44604i	0.0361207	−	0.0497159i
$847$	−3.28806	+	2.38440i	−0.112979	+	0.0819290i
$848$	0.740194	+	1.45271i	0.0254184	+	0.0498864i
$849$	−13.3811	+	7.72558i	−0.459238	+	0.265141i
$850$	10.7143	−	2.10411i	0.367498	−	0.0721703i
$851$	18.7192	−	32.4226i	0.641685	−	1.11143i
$852$	−12.4707	+	19.2032i	−0.427238	+	0.657889i
$853$	0.723488	+	4.56792i	0.0247718	+	0.156403i	0.996974	−	0.0777420i	$-0.0247710\pi$
$853$	0.723488	+	4.56792i	0.0247718	+	0.156403i	−0.972202	+	0.234145i	$0.924771\pi$
$854$	−22.9134	+	8.77200i	−0.784081	+	0.300172i
$855$	−1.94307	+	4.27459i	−0.0664514	+	0.146188i
$856$	1.19515	+	0.532116i	0.0408495	+	0.0181874i
$857$	−11.1538	−	41.6267i	−0.381008	−	1.42194i	−0.844364	−	0.535770i	$-0.820021\pi$
$857$	−11.1538	−	41.6267i	−0.381008	−	1.42194i	0.463356	−	0.886172i	$-0.346645\pi$
$858$	−25.2614	−	20.4563i	−0.862410	−	0.698366i
$859$	−29.3851	+	32.6354i	−1.00261	+	1.11351i	−0.00907281	+	0.999959i	$0.502888\pi$
$859$	−29.3851	+	32.6354i	−1.00261	+	1.11351i	−0.993533	+	0.113547i	$0.963779\pi$
$860$	−6.43716	−	17.1665i	−0.219505	−	0.585372i
$861$	3.36979	+	4.16901i	0.114842	+	0.142079i
$862$	8.27227	−	16.2352i	0.281754	−	0.552974i
$863$	−0.466496	−	8.90128i	−0.0158797	−	0.303003i	−0.995010	−	0.0997713i	$-0.968189\pi$
$863$	−0.466496	−	8.90128i	−0.0158797	−	0.303003i	0.979131	−	0.203232i	$-0.0651445\pi$
$864$	3.16764	+	3.51802i	0.107765	+	0.119685i
$865$	1.89358	+	12.5872i	0.0643838	+	0.427978i
$866$	−9.60306	−	8.64663i	−0.326325	−	0.293824i
$867$	−3.55498	+	22.4453i	−0.120734	+	0.762281i
$868$	8.44207	−	25.9028i	0.286543	−	0.879197i
$869$	−4.90783	−	6.75504i	−0.166487	−	0.229149i
$870$	−17.9574	−	20.2577i	−0.608812	−	0.686801i
$871$	0.951065	+	2.13613i	0.0322256	+	0.0723799i
$872$	−14.5051	−	5.56800i	−0.491206	−	0.188556i
$873$	6.14305	+	3.98935i	0.207911	+	0.135019i
$874$	−27.9070			−0.943969
$875$	28.7768	+	6.84805i	0.972833	+	0.231506i
$876$	3.83583			0.129601
$877$	−33.4517	−	21.7238i	−1.12958	−	0.733559i	−0.162169	−	0.986763i	$-0.551849\pi$
$877$	−33.4517	−	21.7238i	−1.12958	−	0.733559i	−0.967413	+	0.253204i	$0.918516\pi$
$878$	−8.73651	−	3.35363i	−0.294843	−	0.113180i
$879$	−7.50513	−	16.8568i	−0.253142	−	0.568566i
$880$	−4.56330	−	5.14787i	−0.153829	−	0.173535i
$881$	17.4840	+	24.0647i	0.589052	+	0.810761i	0.994651	−	0.103290i	$-0.0329370\pi$
$881$	17.4840	+	24.0647i	0.589052	+	0.810761i	−0.405599	+	0.914051i	$0.632937\pi$
$882$	3.12661	−	0.489443i	0.105278	−	0.0164804i
$883$	3.19327	−	20.1615i	0.107462	−	0.678489i	−0.873869	−	0.486162i	$-0.838397\pi$
$883$	3.19327	−	20.1615i	0.107462	−	0.678489i	0.981331	−	0.192327i	$-0.0616034\pi$
$884$	−9.22872	−	8.30958i	−0.310396	−	0.279481i
$885$	8.63930	+	57.4280i	0.290407	+	1.93042i
$886$	−4.15284	−	4.61219i	−0.139517	−	0.154950i
$887$	0.0978531	+	1.86715i	0.00328558	+	0.0626927i	0.999780	−	0.0209638i	$-0.00667348\pi$
$887$	0.0978531	+	1.86715i	0.00328558	+	0.0626927i	−0.996495	+	0.0836565i	$0.973340\pi$
$888$	−5.25599	+	10.3155i	−0.176380	+	0.346164i
$889$	23.2337	+	8.94254i	0.779232	+	0.299923i
$890$	2.08429	+	5.55835i	0.0698657	+	0.186316i
$891$	20.8985	−	23.2101i	0.700126	−	0.777569i
$892$	−1.71951	−	1.39244i	−0.0575736	−	0.0466222i
$893$	4.75281	+	17.7377i	0.159047	+	0.593571i
$894$	14.7307	+	6.55854i	0.492669	+	0.219350i
$895$	−3.34359	+	7.35563i	−0.111764	+	0.245872i
$896$	0.416236	−	2.61280i	0.0139055	−	0.0872877i
$897$	−9.93071	−	62.7001i	−0.331577	−	2.09349i
$898$	−15.5306	+	23.9151i	−0.518264	+	0.798057i
$899$	−33.5480	+	58.1068i	−1.11889	+	1.93797i
$900$	−2.05054	−	0.951370i	−0.0683512	−	0.0317123i
$901$	3.08348	−	1.78025i	0.102726	−	0.0593087i
$902$	−1.52310	−	2.98924i	−0.0507136	−	0.0995310i
$903$	−36.8054	−	16.4265i	−1.22481	−	0.546640i
$904$	−0.982552	+	1.35237i	−0.0326792	+	0.0449790i
$905$	0.298517	−	1.35270i	0.00992304	−	0.0449651i
$906$	−15.0023	+	1.57680i	−0.498417	+	0.0523857i
$907$	14.8075	−	3.96767i	0.491677	−	0.131744i	−0.00445782	−	0.999990i	$-0.501419\pi$
$907$	14.8075	−	3.96767i	0.491677	−	0.131744i	0.496134	+	0.868246i	$0.334752\pi$
$908$	−2.48025	−	6.46126i	−0.0823099	−	0.214425i
$909$	1.51239	+	4.65466i	0.0501628	+	0.154385i
$910$	−13.4170	−	30.8515i	−0.444769	−	1.02272i
$911$	−8.34648	+	25.6878i	−0.276531	+	0.851076i	0.712279	+	0.701897i	$0.247663\pi$
$911$	−8.34648	+	25.6878i	−0.276531	+	0.851076i	−0.988810	+	0.149179i	$0.952337\pi$
$912$	8.61806	−	0.451653i	0.285372	−	0.0149557i
$913$	−6.86439	−	10.5702i	−0.227178	−	0.349824i
$914$	−15.4018	+	13.8678i	−0.509446	+	0.458707i
$915$	32.4734	−	20.7319i	1.07354	−	0.685375i
$916$	−8.78163	+	2.85332i	−0.290153	+	0.0942765i
$917$	−48.4992	+	15.7101i	−1.60159	+	0.518795i
$918$	7.31006	−	7.31006i	0.241268	−	0.241268i
$919$	−2.68307	+	6.02627i	−0.0885062	+	0.198788i	−0.952375	−	0.304928i	$-0.901368\pi$
$919$	−2.68307	+	6.02627i	−0.0885062	+	0.198788i	0.863869	+	0.503716i	$0.168034\pi$
$920$	0.104285	−	13.4345i	0.00343816	−	0.442923i
$921$	−7.62011	+	3.39269i	−0.251091	+	0.111793i
$922$	14.2753	+	17.6285i	0.470131	+	0.580563i
$923$	62.4420	−	31.8158i	2.05530	−	1.04723i
$924$	−15.1019	−	0.805075i	−0.496816	−	0.0264850i
$925$	−2.11336	+	31.0839i	−0.0694868	+	1.02203i
$926$	−10.2522	−	17.7573i	−0.336908	−	0.583542i
$927$	−3.19933	−	0.167670i	−0.105080	−	0.00550699i
$928$	−2.33511	+	6.08318i	−0.0766539	+	0.199690i
$929$	−0.0312141	+	0.296982i	−0.00102410	+	0.00974366i	−0.995022	−	0.0996554i	$-0.968226\pi$
$929$	−0.0312141	+	0.296982i	−0.00102410	+	0.00974366i	0.993998	+	0.109399i	$0.0348926\pi$
$930$	−4.80188	+	42.5100i	−0.157460	+	1.39396i
$931$	−16.3073	+	28.1281i	−0.534450	+	0.921861i
$932$	12.3662	+	12.3662i	0.405069	+	0.405069i
$933$	39.2144	−	15.0530i	1.28382	−	0.492813i
$934$	−3.71779	−	0.790241i	−0.121650	−	0.0258575i
$935$	−10.7049	+	10.5400i	−0.350089	+	0.344695i
$936$	0.534524	+	2.51474i	0.0174715	+	0.0821968i
$937$	13.1340	+	6.69212i	0.429070	+	0.218622i	0.655169	−	0.755482i	$-0.272597\pi$
$937$	13.1340	+	6.69212i	0.429070	+	0.218622i	−0.226099	+	0.974104i	$0.572597\pi$
$938$	0.941661	+	0.544798i	0.0307463	+	0.0177883i
$939$	−37.3868	−	12.1477i	−1.22007	−	0.396426i
$940$	−8.55675	+	2.22173i	−0.279091	+	0.0724649i
$941$	−8.49000	+	39.9423i	−0.276766	+	1.30208i	0.591629	+	0.806210i	$0.298485\pi$
$941$	−8.49000	+	39.9423i	−0.276766	+	1.30208i	−0.868396	+	0.495872i	$0.834848\pi$
$942$	−20.1495	+	24.8826i	−0.656507	+	0.810719i
$943$	1.69578	−	6.32874i	0.0552222	−	0.206092i
$944$	11.3087	−	8.21628i	0.368068	−	0.267417i
$945$	26.2322	−	9.80978i	0.853335	−	0.319112i
$946$	20.4070	+	14.8266i	0.663490	+	0.482054i
$947$	−10.1136	+	8.18984i	−0.328648	+	0.266134i	−0.779415	−	0.626508i	$-0.784484\pi$
$947$	−10.1136	+	8.18984i	−0.328648	+	0.266134i	0.450767	+	0.892641i	$0.351150\pi$
$948$	−0.263910	+	5.03569i	−0.00857138	+	0.163552i
$949$	−10.1673	−	5.87008i	−0.330044	−	0.190551i
$950$	20.8538	−	10.2209i	0.676585	−	0.331609i
$951$			22.0245i			0.714192i
$952$	−5.74558	−	0.609109i	−0.186215	−	0.0197413i
$953$	−4.15651	+	0.658326i	−0.134643	+	0.0213253i	−0.223392	−	0.974729i	$-0.571713\pi$
$953$	−4.15651	+	0.658326i	−0.134643	+	0.0213253i	0.0887494	+	0.996054i	$0.471713\pi$
$954$	−0.733070	−	0.0770488i	−0.0237340	−	0.00249455i
$955$	17.8660	+	0.138684i	0.578130	+	0.00448770i
$956$	2.81556	+	26.7883i	0.0910617	+	0.866394i
$957$	35.9767	+	9.63993i	1.16296	+	0.311615i
$958$	−1.81359	−	0.287244i	−0.0585943	−	0.00928042i
$959$	−8.75740	+	32.5659i	−0.282791	+	1.05161i
$960$	0.185223	+	4.15044i	0.00597803	+	0.133955i
$961$	73.3920	−	15.5999i	2.36748	−	0.503224i
$962$	29.7177	−	19.2989i	0.958136	−	0.622220i
$963$	−0.496040	+	0.322132i	−0.0159847	+	0.0103806i
$964$	−3.79884	+	0.807468i	−0.122352	+	0.0260068i
$965$	−8.39431	+	12.7090i	−0.270223	+	0.409118i
$966$	−20.8658	−	20.9033i	−0.671345	−	0.672554i
$967$	51.7268	+	8.19271i	1.66342	+	0.263460i	0.916084	−	0.400986i	$-0.131332\pi$
$967$	51.7268	+	8.19271i	1.66342	+	0.263460i	0.747336	+	0.664446i	$0.231332\pi$
$968$	−1.48284	−	0.397325i	−0.0476602	−	0.0127705i
$969$	−1.96993	−	18.7427i	−0.0632834	−	0.602101i
$970$	−10.9273	−	34.5408i	−0.350855	−	1.10904i
$971$	20.0919	+	2.11174i	0.644779	+	0.0677690i	0.421274	−	0.906934i	$-0.361583\pi$
$971$	20.0919	+	2.11174i	0.644779	+	0.0677690i	0.223506	+	0.974703i	$0.428250\pi$
$972$	−4.60280	+	0.729012i	−0.147635	+	0.0233831i
$973$	29.6795	−	13.1822i	0.951480	−	0.422601i
$974$			4.03244i			0.129208i
$975$	30.3846	+	43.2160i	0.973085	+	1.38402i
$976$	−8.03100	−	4.63670i	−0.257066	−	0.148417i
$977$	2.01245	−	38.3998i	0.0643840	−	1.22852i	−0.755174	−	0.655524i	$-0.772448\pi$
$977$	2.01245	−	38.3998i	0.0643840	−	1.22852i	0.819558	−	0.572996i	$-0.194219\pi$
$978$	6.21811	−	5.03532i	0.198833	−	0.161012i
$979$	−6.60761	−	4.80071i	−0.211180	−	0.153431i
$980$	−13.4800	−	7.95548i	−0.430603	−	0.254128i
$981$	5.68277	−	4.12877i	0.181437	−	0.131822i
$982$	−6.23879	+	23.2835i	−0.199088	+	0.743006i
$983$	26.8704	−	33.1822i	0.857034	−	1.05835i	−0.140632	−	0.990062i	$-0.544913\pi$
$983$	26.8704	−	33.1822i	0.857034	−	1.05835i	0.997666	−	0.0682866i	$-0.0217532\pi$
$984$	−0.421254	+	1.98184i	−0.0134291	+	0.0631789i
$985$	−13.3872	+	16.2719i	−0.426552	+	0.518467i
$986$	13.5331	+	4.39717i	0.430981	+	0.140034i
$987$	−9.73256	+	16.8223i	−0.309791	+	0.535461i
$988$	−23.5343	−	11.9913i	−0.748725	−	0.381495i
$989$	10.2422	+	48.1858i	0.325684	+	1.53222i
$990$	3.07549	−	0.462668i	0.0977455	−	0.0147045i
$991$	−16.5893	−	3.52616i	−0.526976	−	0.112012i	−0.0632615	−	0.997997i	$-0.520150\pi$
$991$	−16.5893	−	3.52616i	−0.526976	−	0.112012i	−0.463714	+	0.885985i	$0.653484\pi$
$992$	9.61323	−	3.69017i	0.305220	−	0.117163i
$993$	46.7284	+	46.7284i	1.48288	+	1.48288i
$994$	14.8286	−	29.0382i	0.470336	−	0.921037i
$995$	−9.10547	+	1.86168i	−0.288663	+	0.0590191i
$996$	−0.795632	+	7.56993i	−0.0252106	+	0.239862i
$997$	21.4529	−	55.8867i	0.679420	−	1.76995i	0.0424002	−	0.999101i	$-0.486500\pi$
$997$	21.4529	−	55.8867i	0.679420	−	1.76995i	0.637019	−	0.770848i	$-0.280167\pi$
$998$	9.65348	+	0.505917i	0.305576	+	0.0160145i
$999$	14.7489	+	25.5459i	0.466636	+	0.808237i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.297.3	yes	320
7.5	odd	6	inner	350.2.x.a.47.3	yes	320
25.8	odd	20	inner	350.2.x.a.283.3	yes	320
175.33	even	60	inner	350.2.x.a.33.3	✓	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.33.3	✓	320	175.33	even	60	inner
350.2.x.a.47.3	yes	320	7.5	odd	6	inner
350.2.x.a.283.3	yes	320	25.8	odd	20	inner
350.2.x.a.297.3	yes	320	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

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

\(f(q)\)	\(=\)	\(q+(-0.838671 - 0.544639i) q^{2} +(-1.73458 - 0.665841i) q^{3} +(0.406737 + 0.913545i) q^{4} +(1.48328 + 1.67329i) q^{5} +(1.09209 + 1.50314i) q^{6} +(-1.76858 - 1.96777i) q^{7} +(0.156434 - 0.987688i) q^{8} +(0.335974 + 0.302512i) q^{9} +(-0.332644 - 2.21119i) q^{10} +(2.05858 + 2.28629i) q^{11} +(-0.0972393 - 1.85544i) q^{12} +(-2.58168 + 5.06684i) q^{13} +(0.411537 + 2.61355i) q^{14} +(-1.45871 - 3.89007i) q^{15} +(-0.669131 + 0.743145i) q^{16} +(1.69713 + 1.37431i) q^{17} +(-0.117011 - 0.436693i) q^{18} +(4.24320 + 1.88920i) q^{19} +(-0.925320 + 2.03563i) q^{20} +(1.75752 + 4.59084i) q^{21} +(-0.481271 - 3.03862i) q^{22} +(3.27234 - 5.03897i) q^{23} +(-0.928991 + 1.60906i) q^{24} +(-0.599774 + 4.96390i) q^{25} +(4.92478 - 2.84332i) q^{26} +(2.14917 + 4.21799i) q^{27} +(1.07830 - 2.41605i) q^{28} +(-3.82999 + 5.27153i) q^{29} +(-0.895303 + 4.05696i) q^{30} +(10.2408 - 1.07635i) q^{31} +(0.965926 - 0.258819i) q^{32} +(-2.04846 - 5.33642i) q^{33} +(-0.674830 - 2.07691i) q^{34} +(0.669337 - 5.87809i) q^{35} +(-0.139706 + 0.429970i) q^{36} +(6.22259 - 0.326112i) q^{37} +(-2.52972 - 3.89543i) q^{38} +(7.85184 - 7.06983i) q^{39} +(1.88472 - 1.20326i) q^{40} +(1.03712 - 0.336981i) q^{41} +(1.02637 - 4.80742i) q^{42} +(-5.79763 + 5.79763i) q^{43} +(-1.25133 + 2.81052i) q^{44} +(-0.00784698 + 1.01089i) q^{45} +(-5.48883 + 2.44379i) q^{46} +(2.48807 + 3.07251i) q^{47} +(1.65547 - 0.843506i) q^{48} +(-0.744219 + 6.96033i) q^{49} +(3.20654 - 3.83641i) q^{50} +(-2.02873 - 3.51386i) q^{51} +(-5.67886 - 0.297616i) q^{52} +(0.584290 - 1.52213i) q^{53} +(0.494833 - 4.70802i) q^{54} +(-0.772163 + 6.83579i) q^{55} +(-2.22021 + 1.43898i) q^{56} +(-6.10225 - 6.10225i) q^{57} +(6.08318 - 2.33511i) q^{58} +(-13.6729 - 2.90627i) q^{59} +(2.96044 - 2.91484i) q^{60} +(1.92805 + 9.07076i) q^{61} +(-9.17484 - 4.67482i) q^{62} +(0.00107564 - 1.19614i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(-12.3076 + 3.19564i) q^{65} +(-1.18844 + 5.59117i) q^{66} +(0.258769 - 0.319553i) q^{67} +(-0.565208 + 2.10938i) q^{68} +(-9.03128 + 6.56161i) q^{69} +(-3.76279 + 4.56524i) q^{70} +(-9.97005 - 7.24366i) q^{71} +(0.351346 - 0.284514i) q^{72} +(-0.108048 + 2.06168i) q^{73} +(-5.39631 - 3.11556i) q^{74} +(4.34552 - 8.21090i) q^{75} +4.64476i q^{76} +(0.858105 - 8.09430i) q^{77} +(-10.4356 + 1.65284i) q^{78} +(-2.69915 - 0.283693i) q^{79} +(-2.23600 - 0.0173568i) q^{80} +(-1.06116 - 10.0963i) q^{81} +(-1.05334 - 0.282241i) q^{82} +(-4.04628 - 0.640868i) q^{83} +(-3.47909 + 3.47284i) q^{84} +(0.217703 + 4.87826i) q^{85} +(8.01991 - 1.70468i) q^{86} +(10.1534 - 6.59370i) q^{87} +(2.58017 - 1.67558i) q^{88} +(-2.59678 + 0.551962i) q^{89} +(0.557151 - 0.843530i) q^{90} +(14.5363 - 3.88098i) q^{91} +(5.93431 + 0.939902i) q^{92} +(-18.4800 - 4.95171i) q^{93} +(-0.413262 - 3.93193i) q^{94} +(3.13268 + 9.90229i) q^{95} +(-1.84780 - 0.194212i) q^{96} +(16.0022 - 2.53451i) q^{97} +(4.41502 - 5.43209i) q^{98} +1.39088i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) \) 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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