LMFDB - Embedded newform 350.2.r.a.13.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(13,350)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([19, 10]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("350.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.r (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$20$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			13.15
Character	$\chi$	$=$	350.13
Dual form			350.2.r.a.27.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.987688 - 0.156434i) q^{2} +(-0.435431 - 0.221863i) q^{3} +(0.951057 - 0.309017i) q^{4} +(-1.65984 - 1.49831i) q^{5} +(-0.464777 - 0.151015i) q^{6} +(2.58630 - 0.557723i) q^{7} +(0.891007 - 0.453990i) q^{8} +(-1.62298 - 2.23384i) q^{9} +O(q^{10})$	\(q+(0.987688 - 0.156434i) q^{2} +(-0.435431 - 0.221863i) q^{3} +(0.951057 - 0.309017i) q^{4} +(-1.65984 - 1.49831i) q^{5} +(-0.464777 - 0.151015i) q^{6} +(2.58630 - 0.557723i) q^{7} +(0.891007 - 0.453990i) q^{8} +(-1.62298 - 2.23384i) q^{9} +(-1.87379 - 1.22021i) q^{10} +(1.14606 + 0.832664i) q^{11} +(-0.482679 - 0.0764488i) q^{12} +(0.440041 - 2.77831i) q^{13} +(2.46721 - 0.955443i) q^{14} +(0.390324 + 1.02067i) q^{15} +(0.809017 - 0.587785i) q^{16} +(0.0713737 - 0.0363667i) q^{17} +(-1.95245 - 1.95245i) q^{18} +(0.973453 - 2.99598i) q^{19} +(-2.04160 - 0.912061i) q^{20} +(-1.24989 - 0.330955i) q^{21} +(1.26221 + 0.643129i) q^{22} +(-0.0141886 - 0.0895832i) q^{23} -0.488696 q^{24} +(0.510122 + 4.97391i) q^{25} -2.81294i q^{26} +(0.440435 + 2.78080i) q^{27} +(2.28737 - 1.32964i) q^{28} +(-0.959797 + 0.311857i) q^{29} +(0.545187 + 0.947042i) q^{30} +(4.43807 + 1.44202i) q^{31} +(0.707107 - 0.707107i) q^{32} +(-0.314294 - 0.616837i) q^{33} +(0.0648060 - 0.0470843i) q^{34} +(-5.12848 - 2.94935i) q^{35} +(-2.23384 - 1.62298i) q^{36} +(-0.503449 + 3.17865i) q^{37} +(0.492794 - 3.11138i) q^{38} +(-0.808012 + 1.11213i) q^{39} +(-2.15915 - 0.581455i) q^{40} +(4.34902 + 5.98592i) q^{41} +(-1.28628 - 0.131354i) q^{42} +(-2.78123 - 2.78123i) q^{43} +(1.34728 + 0.437757i) q^{44} +(-0.653106 + 6.13954i) q^{45} +(-0.0280278 - 0.0862607i) q^{46} +(-5.09874 + 10.0068i) q^{47} +(-0.482679 + 0.0764488i) q^{48} +(6.37789 - 2.88488i) q^{49} +(1.28193 + 4.83287i) q^{50} -0.0391467 q^{51} +(-0.440041 - 2.77831i) q^{52} +(-6.28773 + 12.3404i) q^{53} +(0.870025 + 2.67766i) q^{54} +(-0.654689 - 3.09925i) q^{55} +(2.05121 - 1.67109i) q^{56} +(-1.08857 + 1.08857i) q^{57} +(-0.899195 + 0.458163i) q^{58} +(-0.310400 + 0.225519i) q^{59} +(0.686624 + 0.850096i) q^{60} +(4.18553 - 5.76089i) q^{61} +(4.60901 + 0.729996i) q^{62} +(-5.44337 - 4.87220i) q^{63} +(0.587785 - 0.809017i) q^{64} +(-4.89317 + 3.95223i) q^{65} +(-0.406919 - 0.560076i) q^{66} +(3.72465 + 7.31004i) q^{67} +(0.0566425 - 0.0566425i) q^{68} +(-0.0136971 + 0.0421552i) q^{69} +(-5.52672 - 2.11077i) q^{70} +(-2.89789 - 8.91880i) q^{71} +(-2.46023 - 1.25355i) q^{72} +(3.48321 - 0.551686i) q^{73} +3.21827i q^{74} +(0.881404 - 2.27897i) q^{75} -3.15016i q^{76} +(3.42846 + 1.51433i) q^{77} +(-0.624088 + 1.22484i) q^{78} +(3.02619 - 0.983268i) q^{79} +(-2.22352 - 0.236532i) q^{80} +(-2.13457 + 6.56954i) q^{81} +(5.23188 + 5.23188i) q^{82} +(-5.73923 - 11.2639i) q^{83} +(-1.29099 + 0.0714816i) q^{84} +(-0.172957 - 0.0465772i) q^{85} +(-3.18206 - 2.31191i) q^{86} +(0.487115 + 0.0771514i) q^{87} +(1.39917 + 0.221607i) q^{88} +(10.9860 + 7.98182i) q^{89} +(0.315370 + 6.16612i) q^{90} +(-0.411450 - 7.43096i) q^{91} +(-0.0411769 - 0.0808142i) q^{92} +(-1.61254 - 1.61254i) q^{93} +(-3.47055 + 10.6812i) q^{94} +(-6.10469 + 3.51431i) q^{95} +(-0.464777 + 0.151015i) q^{96} +(-6.31109 + 12.3862i) q^{97} +(5.84807 - 3.84708i) q^{98} -3.91152i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q + 8 q^{7}+O(q^{10}) $ 160 * q + 8 * q^7	$ 160 q + 8 q^{7} + 16 q^{15} + 40 q^{16} - 8 q^{18} - 24 q^{22} - 32 q^{23} + 12 q^{28} - 40 q^{29} - 56 q^{30} + 28 q^{35} + 40 q^{36} - 32 q^{37} + 40 q^{39} - 112 q^{43} - 32 q^{50} + 112 q^{53} - 152 q^{57} + 16 q^{58} + 8 q^{60} - 100 q^{63} - 8 q^{65} - 16 q^{67} - 56 q^{70} - 8 q^{72} - 144 q^{77} + 40 q^{78} + 40 q^{81} - 60 q^{84} + 48 q^{85} - 16 q^{88} + 8 q^{92} + 56 q^{93} - 104 q^{95} - 32 q^{98}+O(q^{100}) $ 160 * q + 8 * q^7 + 16 * q^15 + 40 * q^16 - 8 * q^18 - 24 * q^22 - 32 * q^23 + 12 * q^28 - 40 * q^29 - 56 * q^30 + 28 * q^35 + 40 * q^36 - 32 * q^37 + 40 * q^39 - 112 * q^43 - 32 * q^50 + 112 * q^53 - 152 * q^57 + 16 * q^58 + 8 * q^60 - 100 * q^63 - 8 * q^65 - 16 * q^67 - 56 * q^70 - 8 * q^72 - 144 * q^77 + 40 * q^78 + 40 * q^81 - 60 * q^84 + 48 * q^85 - 16 * q^88 + 8 * q^92 + 56 * q^93 - 104 * q^95 - 32 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$101$	$127$
$\chi(n)$	$-1$	$e\left(\frac{19}{20}\right)$

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 $

$2$	0.987688	−	0.156434i	0.698401	−	0.110616i
$2$	0.987688	−	0.156434i	0.698401	−	0.110616i
$3$	−0.435431	−	0.221863i	−0.251396	−	0.128093i	0.323752	−	0.946142i	$-0.395056\pi$
$3$	−0.435431	−	0.221863i	−0.251396	−	0.128093i	−0.575148	+	0.818049i	$0.695056\pi$
$4$	0.951057	−	0.309017i	0.475528	−	0.154508i
$5$	−1.65984	−	1.49831i	−0.742302	−	0.670066i
$5$	−1.65984	−	1.49831i	−0.742302	−	0.670066i
$6$	−0.464777	−	0.151015i	−0.189744	−	0.0616517i
$7$	2.58630	−	0.557723i	0.977529	−	0.210800i
$7$	2.58630	−	0.557723i	0.977529	−	0.210800i
$8$	0.891007	−	0.453990i	0.315018	−	0.160510i
$9$	−1.62298	−	2.23384i	−0.540993	−	0.744613i
$10$	−1.87379	−	1.22021i	−0.592544	−	0.385864i
$11$	1.14606	+	0.832664i	0.345551	+	0.251058i	0.747000	−	0.664824i	$-0.231493\pi$
$11$	1.14606	+	0.832664i	0.345551	+	0.251058i	−0.401449	+	0.915881i	$0.631493\pi$
$12$	−0.482679	−	0.0764488i	−0.139337	−	0.0220689i
$13$	0.440041	−	2.77831i	0.122045	−	0.770565i	−0.848420	−	0.529324i	$-0.822446\pi$
$13$	0.440041	−	2.77831i	0.122045	−	0.770565i	0.970465	−	0.241241i	$-0.0775544\pi$
$14$	2.46721	−	0.955443i	0.659390	−	0.255353i
$15$	0.390324	+	1.02067i	0.100781	+	0.263535i
$16$	0.809017	−	0.587785i	0.202254	−	0.146946i
$17$	0.0713737	−	0.0363667i	0.0173107	−	0.00882022i	−0.445314	−	0.895375i	$-0.646908\pi$
$17$	0.0713737	−	0.0363667i	0.0173107	−	0.00882022i	0.462624	+	0.886554i	$0.346908\pi$
$18$	−1.95245	−	1.95245i	−0.460196	−	0.460196i
$19$	0.973453	−	2.99598i	0.223326	−	0.687325i	−0.775132	−	0.631800i	$-0.782317\pi$
$19$	0.973453	−	2.99598i	0.223326	−	0.687325i	0.998457	−	0.0555256i	$-0.0176835\pi$
$20$	−2.04160	−	0.912061i	−0.456516	−	0.203943i
$21$	−1.24989	−	0.330955i	−0.272749	−	0.0722202i
$22$	1.26221	+	0.643129i	0.269104	+	0.137115i
$23$	−0.0141886	−	0.0895832i	−0.00295853	−	0.0186794i	0.986165	−	0.165767i	$-0.0530100\pi$
$23$	−0.0141886	−	0.0895832i	−0.00295853	−	0.0186794i	−0.989123	+	0.147088i	$0.953010\pi$
$24$	−0.488696			−0.0997546
$25$	0.510122	+	4.97391i	0.102024	+	0.994782i
$26$		−	2.81294i		−	0.551663i
$27$	0.440435	+	2.78080i	0.0847618	+	0.535165i
$28$	2.28737	−	1.32964i	0.432272	−	0.251278i
$29$	−0.959797	+	0.311857i	−0.178230	+	0.0579104i	−0.396772	−	0.917917i	$-0.629870\pi$
$29$	−0.959797	+	0.311857i	−0.178230	+	0.0579104i	0.218543	+	0.975827i	$0.429870\pi$
$30$	0.545187	+	0.947042i	0.0995370	+	0.172905i
$31$	4.43807	+	1.44202i	0.797101	+	0.258994i	0.679125	−	0.734023i	$-0.262359\pi$
$31$	4.43807	+	1.44202i	0.797101	+	0.258994i	0.117976	+	0.993016i	$0.462359\pi$
$32$	0.707107	−	0.707107i	0.125000	−	0.125000i
$33$	−0.314294	−	0.616837i	−0.0547116	−	0.107378i
$34$	0.0648060	−	0.0470843i	0.0111141	−	0.00807489i
$35$	−5.12848	−	2.94935i	−0.866871	−	0.498532i
$36$	−2.23384	−	1.62298i	−0.372306	−	0.270496i
$37$	−0.503449	+	3.17865i	−0.0827665	+	0.522567i	0.911118	+	0.412145i	$0.135220\pi$
$37$	−0.503449	+	3.17865i	−0.0827665	+	0.522567i	−0.993885	+	0.110422i	$0.964780\pi$
$38$	0.492794	−	3.11138i	0.0799417	−	0.504732i
$39$	−0.808012	+	1.11213i	−0.129386	+	0.178084i
$40$	−2.15915	−	0.581455i	−0.341391	−	0.0919362i
$41$	4.34902	+	5.98592i	0.679203	+	0.934843i	0.999924	−	0.0123308i	$-0.00392513\pi$
$41$	4.34902	+	5.98592i	0.679203	+	0.934843i	−0.320721	+	0.947174i	$0.603925\pi$
$42$	−1.28628	−	0.131354i	−0.198477	−	0.0202683i
$43$	−2.78123	−	2.78123i	−0.424133	−	0.424133i	0.462491	−	0.886624i	$-0.346956\pi$
$43$	−2.78123	−	2.78123i	−0.424133	−	0.424133i	−0.886624	+	0.462491i	$0.846956\pi$
$44$	1.34728	+	0.437757i	0.203110	+	0.0659944i
$45$	−0.653106	+	6.13954i	−0.0973593	+	0.915228i
$46$	−0.0280278	−	0.0862607i	−0.00413248	−	0.0127185i
$47$	−5.09874	+	10.0068i	−0.743727	+	1.45965i	0.139263	+	0.990255i	$0.455527\pi$
$47$	−5.09874	+	10.0068i	−0.743727	+	1.45965i	−0.882990	+	0.469391i	$0.844473\pi$
$48$	−0.482679	+	0.0764488i	−0.0696687	+	0.0110344i
$49$	6.37789	−	2.88488i	0.911127	−	0.412125i
$50$	1.28193	+	4.83287i	0.181293	+	0.683471i
$51$	−0.0391467			−0.00548164
$52$	−0.440041	−	2.77831i	−0.0610227	−	0.385282i
$53$	−6.28773	+	12.3404i	−0.863686	+	1.69508i	−0.156943	+	0.987608i	$0.550164\pi$
$53$	−6.28773	+	12.3404i	−0.863686	+	1.69508i	−0.706743	+	0.707471i	$0.749836\pi$
$54$	0.870025	+	2.67766i	0.118395	+	0.364384i
$55$	−0.654689	−	3.09925i	−0.0882783	−	0.417903i
$56$	2.05121	−	1.67109i	0.274104	−	0.223309i
$57$	−1.08857	+	1.08857i	−0.144185	+	0.144185i
$58$	−0.899195	+	0.458163i	−0.118070	+	0.0601597i
$59$	−0.310400	+	0.225519i	−0.0404106	+	0.0293600i	−0.607807	−	0.794085i	$-0.707951\pi$
$59$	−0.310400	+	0.225519i	−0.0404106	+	0.0293600i	0.567397	+	0.823445i	$0.307951\pi$
$60$	0.686624	+	0.850096i	0.0886428	+	0.109747i
$61$	4.18553	−	5.76089i	0.535903	−	0.737607i	−0.452113	−	0.891961i	$-0.649330\pi$
$61$	4.18553	−	5.76089i	0.535903	−	0.737607i	0.988016	+	0.154354i	$0.0493297\pi$
$62$	4.60901	+	0.729996i	0.585345	+	0.0927096i
$63$	−5.44337	−	4.87220i	−0.685801	−	0.613840i
$64$	0.587785	−	0.809017i	0.0734732	−	0.101127i
$65$	−4.89317	+	3.95223i	−0.606923	+	0.490213i
$66$	−0.406919	−	0.560076i	−0.0500883	−	0.0689406i
$67$	3.72465	+	7.31004i	0.455038	+	0.893063i	0.998559	+	0.0536672i	$0.0170910\pi$
$67$	3.72465	+	7.31004i	0.455038	+	0.893063i	−0.543521	+	0.839396i	$0.682909\pi$
$68$	0.0566425	−	0.0566425i	0.00686891	−	0.00686891i
$69$	−0.0136971	+	0.0421552i	−0.00164893	+	0.00507489i
$70$	−5.52672	−	2.11077i	−0.660569	−	0.252285i
$71$	−2.89789	−	8.91880i	−0.343917	−	1.05847i	−0.962161	−	0.272481i	$-0.912156\pi$
$71$	−2.89789	−	8.91880i	−0.343917	−	1.05847i	0.618244	−	0.785986i	$-0.287844\pi$
$72$	−2.46023	−	1.25355i	−0.289940	−	0.147732i
$73$	3.48321	−	0.551686i	0.407679	−	0.0645700i	0.0507727	−	0.998710i	$-0.483832\pi$
$73$	3.48321	−	0.551686i	0.407679	−	0.0645700i	0.356906	+	0.934140i	$0.383832\pi$
$74$			3.21827i			0.374117i
$75$	0.881404	−	2.27897i	0.101776	−	0.263153i
$76$		−	3.15016i		−	0.361348i
$77$	3.42846	+	1.51433i	0.390709	+	0.172574i
$78$	−0.624088	+	1.22484i	−0.0706641	+	0.138686i
$79$	3.02619	−	0.983268i	0.340473	−	0.110626i	−0.133790	−	0.991010i	$-0.542715\pi$
$79$	3.02619	−	0.983268i	0.340473	−	0.110626i	0.474263	+	0.880383i	$0.342715\pi$
$80$	−2.22352	−	0.236532i	−0.248597	−	0.0264451i
$81$	−2.13457	+	6.56954i	−0.237175	+	0.729949i
$82$	5.23188	+	5.23188i	0.577765	+	0.577765i
$83$	−5.73923	−	11.2639i	−0.629962	−	1.23637i	−0.956651	−	0.291238i	$-0.905933\pi$
$83$	−5.73923	−	11.2639i	−0.629962	−	1.23637i	0.326689	−	0.945132i	$-0.394067\pi$
$84$	−1.29099	+	0.0714816i	−0.140859	+	0.00779929i
$85$	−0.172957	−	0.0465772i	−0.0187599	−	0.00505201i
$86$	−3.18206	−	2.31191i	−0.343131	−	0.249299i
$87$	0.487115	+	0.0771514i	0.0522242	+	0.00827150i
$88$	1.39917	+	0.221607i	0.149152	+	0.0236234i
$89$	10.9860	+	7.98182i	1.16452	+	0.846071i	0.990342	−	0.138644i	$-0.0442744\pi$
$89$	10.9860	+	7.98182i	1.16452	+	0.846071i	0.174174	+	0.984715i	$0.444274\pi$
$90$	0.315370	+	6.16612i	0.0332429	+	0.649966i
$91$	−0.411450	−	7.43096i	−0.0431317	−	0.778977i
$92$	−0.0411769	−	0.0808142i	−0.00429299	−	0.00842546i
$93$	−1.61254	−	1.61254i	−0.167213	−	0.167213i
$94$	−3.47055	+	10.6812i	−0.357960	+	1.10169i
$95$	−6.10469	+	3.51431i	−0.626328	+	0.360560i
$96$	−0.464777	+	0.151015i	−0.0474361	+	0.0154129i
$97$	−6.31109	+	12.3862i	−0.640794	+	1.25763i	0.310859	+	0.950456i	$0.399383\pi$
$97$	−6.31109	+	12.3862i	−0.640794	+	1.25763i	−0.951654	+	0.307174i	$0.900617\pi$
$98$	5.84807	−	3.84708i	0.590745	−	0.388614i
$99$		−	3.91152i		−	0.393122i
$100$	2.02218	+	4.57283i	0.202218	+	0.457283i
$101$			1.17207i			0.116625i	0.998298	+	0.0583125i	$0.0185720\pi$
$101$			1.17207i			0.116625i	−0.998298	+	0.0583125i	$0.981428\pi$
$102$	−0.0386648	+	0.00612390i	−0.00382838	+	0.000606357i
$103$	−5.13953	−	2.61872i	−0.506413	−	0.258030i	0.182066	−	0.983286i	$-0.441721\pi$
$103$	−5.13953	−	2.61872i	−0.506413	−	0.258030i	−0.688479	+	0.725256i	$0.741721\pi$
$104$	−0.869247	−	2.67527i	−0.0852367	−	0.262332i
$105$	1.57875	+	2.42206i	0.154070	+	0.236369i
$106$	−4.27986	+	13.1720i	−0.415696	+	1.27938i
$107$	6.87046	−	6.87046i	0.664193	−	0.664193i	−0.292173	−	0.956365i	$-0.594378\pi$
$107$	6.87046	−	6.87046i	0.664193	−	0.664193i	0.956365	+	0.292173i	$0.0943783\pi$
$108$	1.27819	+	2.50859i	0.122994	+	0.241390i
$109$	2.72286	+	3.74770i	0.260803	+	0.358965i	0.919258	−	0.393656i	$-0.128790\pi$
$109$	2.72286	+	3.74770i	0.260803	+	0.358965i	−0.658455	+	0.752620i	$0.728790\pi$
$110$	−1.13146	−	2.95868i	−0.107880	−	0.282099i
$111$	0.924443	−	1.27239i	0.0877442	−	0.120770i
$112$	1.76454	−	1.97140i	0.166733	−	0.186279i
$113$	−0.785835	−	0.124464i	−0.0739251	−	0.0117086i	0.119362	−	0.992851i	$-0.461915\pi$
$113$	−0.785835	−	0.124464i	−0.0739251	−	0.0117086i	−0.193287	+	0.981142i	$0.561915\pi$
$114$	−0.904878	+	1.24546i	−0.0847496	+	0.116648i
$115$	−0.110673	+	0.169953i	−0.0103203	+	0.0158482i
$116$	−0.816452	+	0.593187i	−0.0758057	+	0.0550760i
$117$	−6.92048	+	3.52616i	−0.639798	+	0.325993i
$118$	−0.271299	+	0.271299i	−0.0249751	+	0.0249751i
$119$	0.164311	−	0.133862i	0.0150624	−	0.0122711i
$120$	0.811155	+	0.732219i	0.0740480	+	0.0668421i
$121$	−2.77905	−	8.55305i	−0.252641	−	0.777550i
$122$	3.23280	−	6.34473i	0.292684	−	0.574425i
$123$	−0.565645	−	3.57134i	−0.0510025	−	0.322017i
$124$	4.66646			0.419061
$125$	6.60575	−	9.02020i	0.590836	−	0.806792i
$126$	−6.13854	−	3.96069i	−0.546864	−	0.352846i
$127$	17.5314	−	2.77671i	1.55566	−	0.246393i	0.681424	−	0.731888i	$-0.261361\pi$
$127$	17.5314	−	2.77671i	1.55566	−	0.246393i	0.874239	+	0.485496i	$0.161361\pi$
$128$	0.453990	−	0.891007i	0.0401275	−	0.0787546i
$129$	0.593980	+	1.82808i	0.0522971	+	0.160954i
$130$	−4.21467	+	4.66903i	−0.369651	+	0.409501i
$131$	9.23628	+	3.00105i	0.806978	+	0.262203i	0.683317	−	0.730122i	$-0.260537\pi$
$131$	9.23628	+	3.00105i	0.806978	+	0.262203i	0.123660	+	0.992325i	$0.460537\pi$
$132$	−0.489525	−	0.489525i	−0.0426076	−	0.0426076i
$133$	0.846714	−	8.29142i	0.0734194	−	0.718958i
$134$	4.82233	+	6.63737i	0.416586	+	0.573382i
$135$	3.43545	−	5.27558i	0.295677	−	0.454050i
$136$	0.0470843	−	0.0648060i	0.00403744	−	0.00555706i
$137$	−2.40495	+	15.1842i	−0.205469	+	1.29728i	0.642112	+	0.766611i	$0.278058\pi$
$137$	−2.40495	+	15.1842i	−0.205469	+	1.29728i	−0.847581	+	0.530666i	$0.821942\pi$
$138$	−0.00693390	+	0.0437789i	−0.000590253	+	0.00372671i
$139$	−11.7336	−	8.52499i	−0.995235	−	0.723080i	−0.0341735	−	0.999416i	$-0.510880\pi$
$139$	−11.7336	−	8.52499i	−0.995235	−	0.723080i	−0.961061	+	0.276336i	$0.910880\pi$
$140$	−5.78888	−	1.22021i	−0.489249	−	0.103127i
$141$	4.44029	−	3.22606i	0.373940	−	0.271683i
$142$	−4.25742	−	8.35567i	−0.357275	−	0.701192i
$143$	2.81771	−	2.81771i	0.235629	−	0.235629i
$144$	−2.62604	−	0.853250i	−0.218836	−	0.0711042i
$145$	2.06037	+	0.920443i	0.171104	+	0.0764387i
$146$	3.35402	−	1.08979i	0.277581	−	0.0901915i
$147$	−3.41718	−	0.158854i	−0.281844	−	0.0131020i
$148$	0.503449	+	3.17865i	0.0413832	+	0.261284i
$149$		−	16.6368i		−	1.36294i	−0.731845	−	0.681471i	$-0.761340\pi$
$149$		−	16.6368i		−	1.36294i	0.731845	−	0.681471i	$-0.238660\pi$
$150$	0.514043	−	2.38880i	0.0419715	−	0.195044i
$151$	−2.23094			−0.181551			−0.0907756	−	0.995871i	$-0.528935\pi$
$151$	−2.23094			−0.181551			−0.0907756	+	0.995871i	$0.528935\pi$
$152$	−0.492794	−	3.11138i	−0.0399709	−	0.252366i
$153$	−0.197075	−	0.100415i	−0.0159326	−	0.00811806i
$154$	3.62314	+	0.959359i	0.291961	+	0.0773074i
$155$	−5.20589	−	9.04313i	−0.418147	−	0.726362i
$156$	−0.424797	+	1.30739i	−0.0340110	+	0.104675i
$157$	−10.9329	−	10.9329i	−0.872543	−	0.872543i	0.120206	−	0.992749i	$-0.461645\pi$
$157$	−10.9329	−	10.9329i	−0.872543	−	0.872543i	−0.992749	+	0.120206i	$0.961645\pi$
$158$	2.83511	−	1.44456i	0.225549	−	0.114923i
$159$	5.47574	−	3.97836i	0.434255	−	0.315504i
$160$	−2.23315	+	0.114216i	−0.176546	+	0.00902955i
$161$	−0.0866586	−	0.223776i	−0.00682965	−	0.0176360i
$162$	−1.08059	+	6.82258i	−0.0848992	+	0.536033i
$163$	2.76262	+	0.437556i	0.216385	+	0.0342721i	0.263686	−	0.964609i	$-0.415062\pi$
$163$	2.76262	+	0.437556i	0.216385	+	0.0342721i	−0.0473005	+	0.998881i	$0.515062\pi$
$164$	5.98592	+	4.34902i	0.467421	+	0.339602i
$165$	−0.402537	+	1.49476i	−0.0313375	+	0.116367i
$166$	−7.43062	−	10.2274i	−0.576728	−	0.793798i
$167$	−4.49718	+	2.29143i	−0.348002	+	0.177316i	−0.619251	−	0.785193i	$-0.712564\pi$
$167$	−4.49718	+	2.29143i	−0.348002	+	0.177316i	0.271248	+	0.962509i	$0.412564\pi$
$168$	−1.26391	+	0.272557i	−0.0975130	+	0.0210282i
$169$	4.83836	+	1.57208i	0.372182	+	0.120929i
$170$	−0.178114	−	0.0189473i	−0.0136607	−	0.00145319i
$171$	−8.27243	+	2.68788i	−0.632609	+	0.205547i
$172$	−3.50455	−	1.78566i	−0.267219	−	0.136155i
$173$	−20.2147	+	3.20170i	−1.53690	+	0.243421i	−0.866726	−	0.498785i	$-0.833780\pi$
$173$	−20.2147	+	3.20170i	−1.53690	+	0.243421i	−0.670172	+	0.742206i	$0.733780\pi$
$174$	0.493187			0.0373884
$175$	4.09339	+	12.5795i	0.309431	+	0.950922i
$176$	1.41661			0.106781
$177$	0.185192	−	0.0293315i	0.0139199	−	0.00220469i
$178$	12.0994	+	6.16495i	0.906888	+	0.462083i
$179$	−4.35444	+	1.41484i	−0.325466	+	0.105750i	−0.467193	−	0.884155i	$-0.654735\pi$
$179$	−4.35444	+	1.41484i	−0.325466	+	0.105750i	0.141727	+	0.989906i	$0.454735\pi$
$180$	1.27608	+	6.04087i	0.0951134	+	0.450260i
$181$	18.2139	+	5.91805i	1.35383	+	0.439885i	0.893978	−	0.448112i	$-0.147903\pi$
$181$	18.2139	+	5.91805i	1.35383	+	0.439885i	0.459850	+	0.887997i	$0.347903\pi$
$182$	−1.56884	−	7.27511i	−0.116290	−	0.539267i
$183$	−3.10064	+	1.57985i	−0.229206	+	0.116786i
$184$	−0.0533121	−	0.0733778i	−0.00393022	−	0.00540948i
$185$	5.59825	−	4.52172i	0.411592	−	0.332444i
$186$	−1.84495	−	1.34043i	−0.135278	−	0.0982853i
$187$	0.112080	+	0.0177517i	0.00819611	+	0.00129814i
$188$	−1.75690	+	11.0927i	−0.128135	+	0.809015i
$189$	2.69001	+	6.94634i	0.195670	+	0.505272i
$190$	−5.47977	+	4.42602i	−0.397544	+	0.321097i
$191$	17.3913	−	12.6355i	1.25839	−	0.914272i	0.259710	−	0.965687i	$-0.416373\pi$
$191$	17.3913	−	12.6355i	1.25839	−	0.914272i	0.998677	+	0.0514149i	$0.0163731\pi$
$192$	−0.435431	+	0.221863i	−0.0314245	+	0.0160116i
$193$	15.3393	+	15.3393i	1.10415	+	1.10415i	0.993905	+	0.110244i	$0.0351632\pi$
$193$	15.3393	+	15.3393i	1.10415	+	1.10415i	0.110244	+	0.993905i	$0.464837\pi$
$194$	−4.29576	+	13.2210i	−0.308418	+	0.949212i
$195$	3.00749	−	0.635306i	0.215371	−	0.0454952i
$196$	5.17426	−	4.71456i	0.369590	−	0.336754i
$197$	−14.2686	−	7.27019i	−1.01659	−	0.517980i	−0.135427	−	0.990787i	$-0.543241\pi$
$197$	−14.2686	−	7.27019i	−1.01659	−	0.517980i	−0.881166	+	0.472807i	$0.843241\pi$
$198$	−0.611896	−	3.86336i	−0.0434856	−	0.274557i
$199$	−4.78181			−0.338973			−0.169487	−	0.985532i	$-0.554211\pi$
$199$	−4.78181			−0.338973			−0.169487	+	0.985532i	$0.554211\pi$
$200$	2.71263	+	4.20020i	0.191812	+	0.296999i
$201$		−	4.00938i		−	0.282800i
$202$	0.183352	+	1.15764i	0.0129006	+	0.0814510i
$203$	−2.30839	+	1.34186i	−0.162017	+	0.0941798i
$204$	−0.0372308	+	0.0120970i	−0.00260668	+	0.000846960i
$205$	1.75010	−	16.4518i	0.122232	−	1.14905i
$206$	−5.48591	−	1.78248i	−0.382222	−	0.124191i
$207$	−0.177087	+	0.177087i	−0.0123084	+	0.0123084i
$208$	−1.27705	−	2.50635i	−0.0885474	−	0.173784i
$209$	3.61029	−	2.62303i	0.249729	−	0.181438i
$210$	1.93820	+	2.14527i	0.133749	+	0.148038i
$211$	−2.58980	−	1.88160i	−0.178289	−	0.129535i	0.495061	−	0.868858i	$-0.335146\pi$
$211$	−2.58980	−	1.88160i	−0.178289	−	0.129535i	−0.673351	+	0.739323i	$0.735146\pi$
$212$	−2.16660	+	13.6794i	−0.148803	+	0.939504i
$213$	−0.716921	+	4.52646i	−0.0491226	+	0.310148i
$214$	5.71110	−	7.86065i	0.390403	−	0.537343i
$215$	0.449239	+	8.78353i	0.0306378	+	0.599032i
$216$	1.65489	+	2.27776i	0.112601	+	0.154982i
$217$	12.2824	+	1.25427i	0.833785	+	0.0851455i
$218$	3.27561	+	3.27561i	0.221852	+	0.221852i
$219$	−1.63910	−	0.532575i	−0.110760	−	0.0359881i
$220$	−1.58037	−	2.74525i	−0.106548	−	0.185085i
$221$	−0.0696307	−	0.214301i	−0.00468387	−	0.0144155i
$222$	0.714016	−	1.40134i	0.0479216	−	0.0940515i
$223$	−16.9558	+	2.68554i	−1.13545	+	0.179837i	−0.695733	−	0.718301i	$-0.744920\pi$
$223$	−16.9558	+	2.68554i	−1.13545	+	0.179837i	−0.439714	+	0.898138i	$0.644920\pi$
$224$	1.43442	−	2.22316i	0.0958412	−	0.148541i
$225$	10.2830	−	9.21208i	0.685533	−	0.614139i
$226$	−0.795630			−0.0529245
$227$	−4.01014	−	25.3190i	−0.266162	−	1.68048i	−0.652237	−	0.758015i	$-0.726169\pi$
$227$	−4.01014	−	25.3190i	−0.266162	−	1.68048i	0.386075	−	0.922467i	$-0.373831\pi$
$228$	−0.698905	+	1.37168i	−0.0462861	+	0.0908416i
$229$	−3.76573	−	11.5897i	−0.248846	−	0.765870i	−0.994980	−	0.100074i	$-0.968092\pi$
$229$	−3.76573	−	11.5897i	−0.248846	−	0.765870i	0.746134	−	0.665796i	$-0.231908\pi$
$230$	−0.0827239	+	0.185173i	−0.00545465	+	0.0122100i
$231$	−1.15688	−	1.42004i	−0.0761173	−	0.0934315i
$232$	−0.713605	+	0.713605i	−0.0468505	+	0.0468505i
$233$	2.38031	−	1.21283i	0.155939	−	0.0794551i	−0.374279	−	0.927316i	$-0.622110\pi$
$233$	2.38031	−	1.21283i	0.155939	−	0.0794551i	0.530219	+	0.847861i	$0.322110\pi$
$234$	−6.28366	+	4.56535i	−0.410776	+	0.298446i
$235$	23.4564	−	8.97022i	1.53013	−	0.585153i
$236$	−0.225519	+	0.310400i	−0.0146800	+	0.0202053i
$237$	−1.53585	−	0.243254i	−0.0997639	−	0.0158011i
$238$	0.141348	−	0.157918i	0.00916221	−	0.0102363i
$239$	2.51230	−	3.45789i	0.162507	−	0.223672i	−0.719996	−	0.693978i	$-0.755856\pi$
$239$	2.51230	−	3.45789i	0.162507	−	0.223672i	0.882503	+	0.470306i	$0.155856\pi$
$240$	0.915713	+	0.596311i	0.0591090	+	0.0384917i
$241$	−14.0605	−	19.3526i	−0.905713	−	1.24661i	−0.968609	−	0.248588i	$-0.920034\pi$
$241$	−14.0605	−	19.3526i	−0.905713	−	1.24661i	0.0628959	−	0.998020i	$-0.479966\pi$
$242$	−4.08283	−	8.01301i	−0.262454	−	0.515096i
$243$	8.35950	−	8.35950i	0.536262	−	0.536262i
$244$	2.20046	−	6.77233i	0.140870	−	0.433554i
$245$	−14.9087	−	4.76764i	−0.952482	−	0.304593i
$246$	−1.11736	−	3.43889i	−0.0712404	−	0.219255i
$247$	−7.89541	−	4.02291i	−0.502373	−	0.255972i
$248$	4.60901	−	0.729996i	0.292673	−	0.0463548i
$249$			6.17796i			0.391512i
$250$	5.11335	−	9.94252i	0.323397	−	0.628820i
$251$			29.6014i			1.86842i	0.356720	+	0.934212i	$0.383895\pi$
$251$			29.6014i			1.86842i	−0.356720	+	0.934212i	$0.616105\pi$
$252$	−6.68255	−	2.95165i	−0.420961	−	0.185936i
$253$	0.0583317	−	0.114482i	0.00366728	−	0.00719745i
$254$	16.8812	−	5.48504i	1.05922	−	0.344162i
$255$	0.0649772	+	0.0586540i	0.00406903	+	0.00367306i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−8.07929	−	8.07929i	−0.503972	−	0.503972i	0.408698	−	0.912670i	$-0.365983\pi$
$257$	−8.07929	−	8.07929i	−0.503972	−	0.503972i	−0.912670	+	0.408698i	$0.865983\pi$
$258$	0.872643	+	1.71266i	0.0543284	+	0.106625i
$259$	0.470738	+	8.50173i	0.0292502	+	0.528272i
$260$	−3.43238	+	5.27086i	−0.212867	+	0.326885i
$261$	2.25437	+	1.63789i	0.139542	+	0.101383i
$262$	9.59203	+	1.51923i	0.592598	+	0.0938583i
$263$	−12.7054	−	2.01233i	−0.783446	−	0.124086i	−0.248118	−	0.968730i	$-0.579812\pi$
$263$	−12.7054	−	2.01233i	−0.783446	−	0.124086i	−0.535328	+	0.844644i	$0.679812\pi$
$264$	−0.560076	−	0.406919i	−0.0344703	−	0.0250441i
$265$	28.9263	−	11.0620i	1.77693	−	0.679534i
$266$	−0.460775	−	8.32180i	−0.0282519	−	0.510242i
$267$	−3.01279	−	5.91292i	−0.184379	−	0.361865i
$268$	5.80128	+	5.80128i	0.354369	+	0.354369i
$269$	0.0678666	−	0.208872i	0.00413790	−	0.0127351i	−0.948966	−	0.315378i	$-0.897869\pi$
$269$	0.0678666	−	0.208872i	0.00413790	−	0.0127351i	0.953104	+	0.302642i	$0.0978688\pi$
$270$	2.56787	−	5.74806i	0.156276	−	0.349816i
$271$	11.0547	−	3.59190i	0.671526	−	0.218192i	0.0466447	−	0.998912i	$-0.485147\pi$
$271$	11.0547	−	3.59190i	0.671526	−	0.218192i	0.624882	+	0.780719i	$0.285147\pi$
$272$	0.0363667	−	0.0713737i	0.00220506	−	0.00432767i
$273$	−1.46950	+	3.32696i	−0.0889381	+	0.201357i
$274$			15.3735i			0.928748i
$275$	−3.55696	+	6.12518i	−0.214493	+	0.369362i
$276$			0.0443246i			0.00266803i
$277$	4.64337	−	0.735438i	0.278993	−	0.0441882i	−0.0153698	−	0.999882i	$-0.504893\pi$
$277$	4.64337	−	0.735438i	0.278993	−	0.0441882i	0.294363	+	0.955694i	$0.404893\pi$
$278$	−12.9228	−	6.58449i	−0.775057	−	0.394911i
$279$	−3.98166	−	12.2543i	−0.238376	−	0.733646i
$280$	−5.90849	−	0.299612i	−0.353100	−	0.0179053i
$281$	−10.0070	+	30.7984i	−0.596968	+	1.83728i	−0.0522945	+	0.998632i	$0.516653\pi$
$281$	−10.0070	+	30.7984i	−0.596968	+	1.83728i	−0.544674	+	0.838648i	$0.683347\pi$
$282$	3.88096	−	3.88096i	0.231108	−	0.231108i
$283$	9.63172	+	18.9033i	0.572546	+	1.12369i	0.977812	+	0.209486i	$0.0671791\pi$
$283$	9.63172	+	18.9033i	0.572546	+	1.12369i	−0.405265	+	0.914199i	$0.632821\pi$
$284$	−5.51212	−	7.58679i	−0.327084	−	0.450193i
$285$	3.43787	−	0.175832i	0.203642	−	0.0104154i
$286$	2.34224	−	3.22381i	0.138499	−	0.190628i
$287$	14.5864	+	13.0558i	0.861005	+	0.770661i
$288$	−2.72718	−	0.431943i	−0.160701	−	0.0254525i
$289$	−9.98858	+	13.7481i	−0.587563	+	0.808712i
$290$	2.17899	+	0.586799i	0.127955	+	0.0344580i
$291$	5.49609	−	3.99314i	0.322186	−	0.234082i
$292$	3.14225	−	1.60106i	0.183886	−	0.0936947i
$293$	−14.9438	+	14.9438i	−0.873027	+	0.873027i	−0.992801	−	0.119774i	$-0.961783\pi$
$293$	−14.9438	+	14.9438i	−0.873027	+	0.873027i	0.119774	+	0.992801i	$0.461783\pi$
$294$	−3.39996	+	0.377667i	−0.198290	+	0.0220260i
$295$	0.853111	+	0.0907515i	0.0496700	+	0.00528375i
$296$	0.994501	+	3.06076i	0.0578042	+	0.177903i
$297$	−1.81070	+	3.55371i	−0.105068	+	0.206207i
$298$	−2.60257	−	16.4320i	−0.150763	−	0.951881i
$299$	−0.255134			−0.0147548
$300$	0.134025	−	2.43980i	0.00773791	−	0.140862i
$301$	−8.74424	−	5.64193i	−0.504010	−	0.325195i
$302$	−2.20347	+	0.348995i	−0.126795	+	0.0200824i
$303$	0.260038	−	0.510354i	0.0149388	−	0.0293191i
$304$	−0.973453	−	2.99598i	−0.0558314	−	0.171831i
$305$	−15.5789	+	3.29091i	−0.892046	+	0.188437i
$306$	−0.210357	−	0.0683493i	−0.0120253	−	0.00390727i
$307$	15.7294	+	15.7294i	0.897727	+	0.897727i	0.995235	−	0.0975080i	$-0.0310871\pi$
$307$	15.7294	+	15.7294i	0.897727	+	0.897727i	−0.0975080	+	0.995235i	$0.531087\pi$
$308$	3.72861	+	0.380763i	0.212457	+	0.0216960i
$309$	1.65691	+	2.28055i	0.0942585	+	0.129736i
$310$	−6.55645	−	8.11741i	−0.372381	−	0.461038i
$311$	−19.3367	+	26.6147i	−1.09649	+	1.50918i	−0.256524	+	0.966538i	$0.582577\pi$
$311$	−19.3367	+	26.6147i	−1.09649	+	1.50918i	−0.839962	+	0.542645i	$0.817423\pi$
$312$	−0.215046	+	1.35775i	−0.0121746	+	0.0768674i
$313$	−2.19999	+	13.8902i	−0.124351	+	0.785120i	0.844150	+	0.536108i	$0.180106\pi$
$313$	−2.19999	+	13.8902i	−0.124351	+	0.785120i	−0.968500	+	0.249012i	$0.919894\pi$
$314$	−12.5086	−	9.08805i	−0.705902	−	0.512868i
$315$	1.73503	+	16.2429i	0.0977581	+	0.915186i
$316$	2.57423	−	1.87029i	0.144812	−	0.105212i
$317$	−3.42977	−	6.73131i	−0.192635	−	0.378068i	0.774406	−	0.632690i	$-0.218049\pi$
$317$	−3.42977	−	6.73131i	−0.192635	−	0.378068i	−0.967041	+	0.254622i	$0.918049\pi$
$318$	4.78597	−	4.78597i	0.268384	−	0.268384i
$319$	−1.35966	−	0.441780i	−0.0761264	−	0.0247350i
$320$	−2.18779	+	0.462151i	−0.122301	+	0.0258350i
$321$	−4.51591	+	1.46731i	−0.252054	+	0.0818972i
$322$	−0.120598	−	0.207464i	−0.00672066	−	0.0115615i
$323$	−0.0394750	−	0.249236i	−0.00219645	−	0.0138678i
$324$			6.90763i			0.383757i
$325$	14.0435	+	0.771448i	0.778995	+	0.0427923i
$326$	2.79706			0.154915
$327$	−0.354143	−	2.23597i	−0.0195841	−	0.123649i
$328$	6.59256	+	3.35907i	0.364013	+	0.185474i
$329$	−7.60582	+	28.7243i	−0.419322	+	1.58362i
$330$	−0.163749	+	1.53933i	−0.00901410	+	0.0847372i
$331$	−6.38144	+	19.6401i	−0.350756	+	1.07952i	0.607674	+	0.794187i	$0.292103\pi$
$331$	−6.38144	+	19.6401i	−0.350756	+	1.07952i	−0.958430	+	0.285329i	$0.907897\pi$
$332$	−8.93905	−	8.93905i	−0.490594	−	0.490594i
$333$	7.91768	−	4.03426i	0.433886	−	0.221076i
$334$	−4.08335	+	2.96673i	−0.223431	+	0.162332i
$335$	4.77040	−	17.7142i	0.260635	−	0.967828i
$336$	−1.20572	+	0.466921i	−0.0657771	+	0.0254726i
$337$	−3.00717	+	18.9865i	−0.163811	+	1.03426i	0.759584	+	0.650409i	$0.225403\pi$
$337$	−3.00717	+	18.9865i	−0.163811	+	1.03426i	−0.923395	+	0.383852i	$0.874597\pi$
$338$	5.02472	+	0.795837i	0.273309	+	0.0432878i
$339$	0.314563	+	0.228543i	0.0170847	+	0.0124128i
$340$	−0.178885	+	0.00914921i	−0.00970143	+	0.000496185i
$341$	3.88560	+	5.34806i	0.210417	+	0.289614i
$342$	−7.75011	+	3.94888i	−0.419078	+	0.213531i
$343$	14.8862	−	11.0183i	0.803778	−	0.594930i
$344$	−3.74074	−	1.21544i	−0.201687	−	0.0655322i
$345$	0.0858966	−	0.0494484i	0.00462452	−	0.00266221i
$346$	−19.4650	+	6.32456i	−1.04644	+	0.340011i
$347$	−25.6451	−	13.0668i	−1.37670	−	0.701465i	−0.400091	−	0.916476i	$-0.631021\pi$
$347$	−25.6451	−	13.0668i	−1.37670	−	0.701465i	−0.976612	+	0.215011i	$0.931021\pi$
$348$	0.487115	−	0.0771514i	0.0261121	−	0.00413575i
$349$	−22.8551			−1.22341			−0.611704	−	0.791087i	$-0.709515\pi$
$349$	−22.8551			−1.22341			−0.611704	+	0.791087i	$0.709515\pi$
$350$	6.01086	+	11.7843i	0.321294	+	0.629897i
$351$	7.91973			0.422724
$352$	1.39917	−	0.221607i	0.0745761	−	0.0118117i
$353$	29.3928	+	14.9764i	1.56442	+	0.797111i	0.999605	−	0.0281069i	$-0.00894789\pi$
$353$	29.3928	+	14.9764i	1.56442	+	0.797111i	0.564814	+	0.825218i	$0.308948\pi$
$354$	0.178324	−	0.0579408i	0.00947779	−	0.00307952i
$355$	−8.55311	+	19.1457i	−0.453952	+	1.01615i
$356$	12.9148	+	4.19629i	0.684486	+	0.222403i
$357$	−0.101245	+	0.0218330i	−0.00535847	+	0.00115553i
$358$	−4.07950	+	2.07861i	−0.215608	+	0.109858i
$359$	−7.24074	−	9.96602i	−0.382151	−	0.525986i	0.574001	−	0.818854i	$-0.305390\pi$
$359$	−7.24074	−	9.96602i	−0.382151	−	0.525986i	−0.956153	+	0.292868i	$0.905390\pi$
$360$	2.20537	+	5.76687i	0.116233	+	0.303941i
$361$	7.34303	+	5.33502i	0.386475	+	0.280791i
$362$	18.9154	+	2.99591i	0.994173	+	0.157461i
$363$	−0.687520	+	4.34083i	−0.0360855	+	0.227835i
$364$	−2.68761	−	6.94012i	−0.140869	−	0.363761i
$365$	−6.60816	−	4.30323i	−0.345887	−	0.225241i
$366$	−2.81532	+	2.04545i	−0.147159	+	0.106917i
$367$	20.9687	−	10.6841i	1.09456	−	0.557705i	0.189021	−	0.981973i	$-0.439469\pi$
$367$	20.9687	−	10.6841i	1.09456	−	0.557705i	0.905536	+	0.424268i	$0.139469\pi$
$368$	−0.0641345	−	0.0641345i	−0.00334324	−	0.00334324i
$369$	6.31320	−	19.4300i	0.328652	−	1.01149i
$370$	4.82198	−	5.34181i	0.250683	−	0.277708i
$371$	−9.37944	+	35.4227i	−0.486956	+	1.83905i
$372$	−2.03192	−	1.03532i	−0.105350	−	0.0536787i
$373$	−0.294374	−	1.85861i	−0.0152421	−	0.0962350i	0.978895	−	0.204366i	$-0.0655133\pi$
$373$	−0.294374	−	1.85861i	−0.0152421	−	0.0962350i	−0.994137	+	0.108131i	$0.965513\pi$
$374$	0.113477			0.00586776
$375$	−4.87760	+	2.46210i	−0.251878	+	0.127142i
$376$			11.2309i			0.579191i
$377$	0.444085	+	2.80384i	0.0228716	+	0.144405i
$378$	3.74354	+	6.44001i	0.192547	+	0.331238i
$379$	−32.1320	+	10.4403i	−1.65051	+	0.536284i	−0.978851	−	0.204575i	$-0.934419\pi$
$379$	−32.1320	+	10.4403i	−1.65051	+	0.536284i	−0.671661	+	0.740859i	$0.734419\pi$
$380$	−4.71992	+	5.22876i	−0.242127	+	0.268230i
$381$	−8.24978	−	2.68052i	−0.422649	−	0.137327i
$382$	15.2005	−	15.2005i	0.777726	−	0.777726i
$383$	5.63488	+	11.0591i	0.287929	+	0.565092i	0.988985	−	0.148014i	$-0.0472880\pi$
$383$	5.63488	+	11.0591i	0.287929	+	0.565092i	−0.701057	+	0.713106i	$0.747288\pi$
$384$	−0.395363	+	0.287248i	−0.0201758	+	0.0146586i
$385$	−3.42174	−	7.65045i	−0.174388	−	0.389903i
$386$	17.5501	+	12.7509i	0.893275	+	0.649002i
$387$	−1.69894	+	10.7267i	−0.0863620	+	0.545268i
$388$	−2.17465	+	13.7302i	−0.110401	+	0.697047i
$389$	−3.47153	+	4.77815i	−0.176013	+	0.242262i	−0.887904	−	0.460029i	$-0.847839\pi$
$389$	−3.47153	+	4.77815i	−0.176013	+	0.242262i	0.711891	+	0.702290i	$0.247839\pi$
$390$	2.87108	−	1.09796i	0.145383	−	0.0555974i
$391$	−0.00427054	−	0.00587789i	−0.000215970	−	0.000297258i
$392$	4.37303	−	5.46595i	0.220872	−	0.276072i
$393$	−3.35594	−	3.35594i	−0.169285	−	0.169285i
$394$	−15.2302	−	4.94859i	−0.767286	−	0.249306i
$395$	−6.49622	−	2.90211i	−0.326860	−	0.146021i
$396$	−1.20873	−	3.72007i	−0.0607407	−	0.186941i
$397$	−5.72680	+	11.2395i	−0.287420	+	0.564093i	−0.988898	−	0.148598i	$-0.952524\pi$
$397$	−5.72680	+	11.2395i	−0.287420	+	0.564093i	0.701478	+	0.712691i	$0.252524\pi$
$398$	−4.72293	+	0.748039i	−0.236739	+	0.0374958i
$399$	−2.20825	+	3.42249i	−0.110551	+	0.171339i
$400$	3.33629	+	3.72414i	0.166814	+	0.186207i
$401$	−6.66340			−0.332755			−0.166377	−	0.986062i	$-0.553207\pi$
$401$	−6.66340			−0.332755			−0.166377	+	0.986062i	$0.553207\pi$
$402$	−0.627205	−	3.96002i	−0.0312821	−	0.197508i
$403$	5.95930	−	11.6958i	0.296854	−	0.582609i
$404$	0.362189	+	1.11470i	0.0180196	+	0.0554585i
$405$	13.3863	−	7.70612i	0.665169	−	0.382920i
$406$	−2.07006	+	1.68645i	−0.102735	+	0.0836970i
$407$	−3.22373	+	3.22373i	−0.159795	+	0.159795i
$408$	−0.0348800	+	0.0177723i	−0.00172682	+	0.000879858i
$409$	−6.80060	+	4.94092i	−0.336268	+	0.244313i	−0.743086	−	0.669196i	$-0.766638\pi$
$409$	−6.80060	+	4.94092i	−0.336268	+	0.244313i	0.406818	+	0.913509i	$0.366638\pi$
$410$	−0.845082	−	16.5231i	−0.0417356	−	0.816016i
$411$	4.41601	−	6.07812i	0.217826	−	0.299811i
$412$	−5.69721	−	0.902350i	−0.280682	−	0.0444556i
$413$	−0.677010	+	0.756376i	−0.0333135	+	0.0372188i
$414$	−0.147204	+	0.202609i	−0.00723468	+	0.00995769i
$415$	−7.35060	+	27.2953i	−0.360827	+	1.33988i
$416$	−1.65341	−	2.27572i	−0.0810649	−	0.111576i
$417$	3.21781	+	6.31531i	0.157577	+	0.309262i
$418$	3.15551	−	3.15551i	0.154341	−	0.154341i
$419$	11.4477	−	35.2324i	0.559257	−	1.72121i	−0.125172	−	0.992135i	$-0.539948\pi$
$419$	11.4477	−	35.2324i	0.559257	−	1.72121i	0.684429	−	0.729080i	$-0.260052\pi$
$420$	2.24993	+	1.81566i	0.109786	+	0.0885950i
$421$	−8.36013	−	25.7298i	−0.407448	−	1.25400i	−0.918834	−	0.394644i	$-0.870868\pi$
$421$	−8.36013	−	25.7298i	−0.407448	−	1.25400i	0.511386	−	0.859351i	$-0.329132\pi$
$422$	−2.85226	−	1.45330i	−0.138846	−	0.0707456i
$423$	30.6288	−	4.85112i	1.48922	−	0.235870i
$424$			13.8499i			0.672611i
$425$	0.217294	+	0.336455i	0.0105403	+	0.0163205i
$426$			4.58288i			0.222041i
$427$	7.61206	−	17.2338i	0.368373	−	0.834000i
$428$	4.41111	−	8.65729i	0.213219	−	0.418466i
$429$	−1.85207	+	0.601773i	−0.0894187	+	0.0290539i
$430$	1.81775	+	8.60511i	0.0876599	+	0.414975i
$431$	0.942418	−	2.90046i	0.0453947	−	0.139710i	−0.925790	−	0.378038i	$-0.876599\pi$
$431$	0.942418	−	2.90046i	0.0453947	−	0.139710i	0.971185	+	0.238327i	$0.0765990\pi$
$432$	1.99083	+	1.99083i	0.0957839	+	0.0957839i
$433$	0.640747	+	1.25754i	0.0307923	+	0.0604333i	0.905890	−	0.423513i	$-0.139203\pi$
$433$	0.640747	+	1.25754i	0.0307923	+	0.0604333i	−0.875098	+	0.483946i	$0.839203\pi$
$434$	12.3274	−	0.682565i	0.591735	−	0.0327642i
$435$	−0.692935	−	0.857909i	−0.0332237	−	0.0411336i
$436$	3.74770	+	2.72286i	0.179482	+	0.130402i
$437$	−0.282202	−	0.0446963i	−0.0134995	−	0.00213812i
$438$	−1.70223	−	0.269607i	−0.0813357	−	0.0128823i
$439$	−28.0310	−	20.3657i	−1.33785	−	0.972002i	−0.999520	−	0.0309725i	$-0.990140\pi$
$439$	−28.0310	−	20.3657i	−1.33785	−	0.972002i	−0.338325	−	0.941029i	$-0.609860\pi$
$440$	−1.99036	−	2.46423i	−0.0948868	−	0.117477i
$441$	−16.7955	−	9.56508i	−0.799787	−	0.455480i
$442$	−0.102297	−	0.200770i	−0.00486579	−	0.00954966i
$443$	−1.91633	−	1.91633i	−0.0910477	−	0.0910477i	0.660116	−	0.751164i	$-0.270507\pi$
$443$	−1.91633	−	1.91633i	−0.0910477	−	0.0910477i	−0.751164	+	0.660116i	$0.770507\pi$
$444$	0.486008	−	1.49578i	0.0230649	−	0.0709866i
$445$	−6.27577	−	29.7090i	−0.297500	−	1.40834i
$446$	−16.3270	+	5.30495i	−0.773104	+	0.251197i
$447$	−3.69110	+	7.24419i	−0.174583	+	0.342639i
$448$	1.06898	−	2.42018i	0.0505046	−	0.114343i
$449$		−	23.6299i		−	1.11516i	−0.830122	−	0.557582i	$-0.811729\pi$
$449$		−	23.6299i		−	1.11516i	0.830122	−	0.557582i	$-0.188271\pi$
$450$	8.71531	−	10.7073i	0.410844	−	0.504746i
$451$			10.4815i			0.493555i
$452$	−0.785835	+	0.124464i	−0.0369626	+	0.00585429i
$453$	0.971419	+	0.494963i	0.0456413	+	0.0232554i
$454$	−7.92154	−	24.3800i	−0.371776	−	1.14421i
$455$	−10.4510	+	12.9507i	−0.489949	+	0.607137i
$456$	−0.475722	+	1.46412i	−0.0222777	+	0.0685638i
$457$	−0.0639068	+	0.0639068i	−0.00298943	+	0.00298943i	−0.708600	−	0.705610i	$-0.750673\pi$
$457$	−0.0639068	+	0.0639068i	−0.00298943	+	0.00298943i	0.705610	+	0.708600i	$0.250673\pi$
$458$	−5.53240	−	10.8579i	−0.258512	−	0.507358i
$459$	0.132564	+	0.182459i	0.00618756	+	0.00851644i
$460$	−0.0527379	+	0.195834i	−0.00245892	+	0.00913082i
$461$	−8.36493	+	11.5133i	−0.389594	+	0.536230i	−0.958094	−	0.286453i	$-0.907524\pi$
$461$	−8.36493	+	11.5133i	−0.389594	+	0.536230i	0.568501	+	0.822683i	$0.307524\pi$
$462$	−1.36478	−	1.22158i	−0.0634954	−	0.0568329i
$463$	7.03643	+	1.11446i	0.327011	+	0.0517934i	0.317781	−	0.948164i	$-0.397062\pi$
$463$	7.03643	+	1.11446i	0.327011	+	0.0517934i	0.00922937	+	0.999957i	$0.497062\pi$
$464$	−0.593187	+	0.816452i	−0.0275380	+	0.0379028i
$465$	0.260467	+	5.09265i	0.0120789	+	0.236166i
$466$	2.16128	−	1.57026i	0.100119	−	0.0727409i
$467$	7.87699	−	4.01353i	0.364504	−	0.185724i	−0.262140	−	0.965030i	$-0.584428\pi$
$467$	7.87699	−	4.01353i	0.364504	−	0.185724i	0.626644	+	0.779306i	$0.284428\pi$
$468$	−5.49212	+	5.49212i	−0.253873	+	0.253873i
$469$	13.7100	+	16.8286i	0.633071	+	0.777073i
$470$	21.7644	−	12.5292i	1.00392	−	0.577928i
$471$	2.33492	+	7.18615i	0.107588	+	0.331121i
$472$	−0.174185	+	0.341857i	−0.00801751	+	0.0157353i
$473$	−0.871635	−	5.50329i	−0.0400778	−	0.253042i
$474$	−1.55499			−0.0714231
$475$	15.3983	+	3.31355i	0.706523	+	0.152036i
$476$	0.114904	−	0.178085i	0.00526660	−	0.00816252i
$477$	37.7712	−	5.98237i	1.72943	−	0.273914i
$478$	1.94044	−	3.80833i	0.0887536	−	0.174189i
$479$	4.09177	+	12.5932i	0.186958	+	0.575397i	0.999977	−	0.00684028i	$-0.00217734\pi$
$479$	4.09177	+	12.5932i	0.186958	+	0.575397i	−0.813019	+	0.582238i	$0.802177\pi$
$480$	0.997723	+	0.445720i	0.0455396	+	0.0203443i
$481$	8.60974	+	2.79747i	0.392570	+	0.127554i
$482$	−16.9148	−	16.9148i	−0.770446	−	0.770446i
$483$	−0.0119138	+	0.116665i	−0.000542095	+	0.00530845i
$484$	−5.28608	−	7.27566i	−0.240276	−	0.330712i
$485$	29.0338	−	11.1031i	1.31836	−	0.504167i
$486$	6.94886	−	9.56429i	0.315207	−	0.433845i
$487$	4.17003	−	26.3285i	0.188962	−	1.19306i	−0.692717	−	0.721209i	$-0.743587\pi$
$487$	4.17003	−	26.3285i	0.188962	−	1.19306i	0.881679	−	0.471849i	$-0.156413\pi$
$488$	1.11395	−	7.03318i	0.0504260	−	0.318377i
$489$	−1.10585	−	0.803450i	−0.0500084	−	0.0363332i
$490$	−15.4710	−	2.37671i	−0.698908	−	0.107369i
$491$	18.8896	−	13.7241i	0.852473	−	0.619358i	−0.0733534	−	0.997306i	$-0.523370\pi$
$491$	18.8896	−	13.7241i	0.852473	−	0.619358i	0.925827	+	0.377948i	$0.123370\pi$
$492$	−1.64157	−	3.22175i	−0.0740075	−	0.145248i
$493$	−0.0571630	+	0.0571630i	−0.00257449	+	0.00257449i
$494$	−8.42752	−	2.73827i	−0.379172	−	0.123201i
$495$	−5.86067	+	6.49248i	−0.263418	+	0.291815i
$496$	4.43807	−	1.44202i	0.199275	−	0.0647485i
$497$	−12.4690	−	21.4505i	−0.559313	−	0.962185i
$498$	0.966446	+	6.10190i	0.0433075	+	0.273433i
$499$			37.8964i			1.69647i	0.529616	+	0.848237i	$0.322336\pi$
$499$			37.8964i			1.69647i	−0.529616	+	0.848237i	$0.677664\pi$
$500$	3.49505	−	10.6200i	0.156303	−	0.474941i
$501$	2.46659			0.110199
$502$	4.63068	+	29.2369i	0.206677	+	1.30491i
$503$	−29.3003	−	14.9292i	−1.30644	−	0.665662i	−0.344460	−	0.938801i	$-0.611938\pi$
$503$	−29.3003	−	14.9292i	−1.30644	−	0.665662i	−0.961975	+	0.273139i	$0.911938\pi$
$504$	−7.06201	−	1.86993i	−0.314567	−	0.0832931i
$505$	1.75612	−	1.94544i	0.0781464	−	0.0865710i
$506$	0.0397045	−	0.122198i	0.00176508	−	0.00543237i
$507$	−1.75799	−	1.75799i	−0.0780749	−	0.0780749i
$508$	15.8153	−	8.05832i	0.701692	−	0.357530i
$509$	5.26966	−	3.82863i	0.233574	−	0.169701i	−0.464842	−	0.885394i	$-0.653889\pi$
$509$	5.26966	−	3.82863i	0.233574	−	0.169701i	0.698415	+	0.715693i	$0.253889\pi$
$510$	0.0733528	+	0.0477672i	0.00324812	+	0.00211517i
$511$	8.70094	−	3.36949i	0.384907	−	0.149058i
$512$	0.156434	−	0.987688i	0.00691349	−	0.0436501i
$513$	8.75996	+	1.38744i	0.386762	+	0.0612571i
$514$	−9.24369	−	6.71594i	−0.407722	−	0.296227i
$515$	4.60712	+	12.0473i	0.203014	+	0.530866i
$516$	1.12982	+	1.55506i	0.0497375	+	0.0684577i
$517$	−14.1758	+	7.22293i	−0.623451	+	0.317664i
$518$	1.79491	+	8.32342i	0.0788636	+	0.365710i
$519$	9.51246	+	3.09079i	0.417551	+	0.135670i
$520$	−2.56558	+	5.74291i	−0.112508	+	0.251843i
$521$	−15.9916	+	5.19599i	−0.700605	+	0.227640i	−0.637594	−	0.770373i	$-0.720070\pi$
$521$	−15.9916	+	5.19599i	−0.700605	+	0.227640i	−0.0630108	+	0.998013i	$0.520070\pi$
$522$	2.48284	+	1.26507i	0.108671	+	0.0553705i
$523$	15.0864	−	2.38945i	0.659682	−	0.104483i	0.182387	−	0.983227i	$-0.441617\pi$
$523$	15.0864	−	2.38945i	0.659682	−	0.104483i	0.477295	+	0.878743i	$0.341617\pi$
$524$	9.71160			0.424253
$525$	1.00854	−	6.38568i	0.0440163	−	0.278694i
$526$	−12.8637			−0.560885
$527$	0.369203	−	0.0584760i	0.0160827	−	0.00254725i
$528$	−0.616837	−	0.314294i	−0.0268444	−	0.0136779i
$529$	21.8665	−	7.10485i	0.950716	−	0.308906i
$530$	26.8397	−	15.4509i	1.16584	−	0.671144i
$531$	1.00754	+	0.327371i	0.0437237	+	0.0142067i
$532$	−1.75692	−	8.14726i	−0.0761720	−	0.353229i
$533$	18.5445	−	9.44889i	0.803251	−	0.409277i
$534$	−3.90068	−	5.36882i	−0.168799	−	0.232332i
$535$	−21.6979	+	1.10975i	−0.938084	+	0.0479789i
$536$	6.63737	+	4.82233i	0.286691	+	0.208293i
$537$	2.20996	+	0.350023i	0.0953669	+	0.0151046i
$538$	0.0343563	−	0.216917i	0.00148121	−	0.00935196i
$539$	9.71160	+	2.00439i	0.418308	+	0.0863350i
$540$	1.63707	−	6.07899i	0.0704481	−	0.261598i
$541$	5.34831	−	3.88577i	0.229942	−	0.167062i	−0.466849	−	0.884337i	$-0.654611\pi$
$541$	5.34831	−	3.88577i	0.229942	−	0.167062i	0.696790	+	0.717275i	$0.254611\pi$
$542$	10.3567	−	5.27701i	0.444859	−	0.226667i
$543$	−6.61789	−	6.61789i	−0.284001	−	0.284001i
$544$	0.0247537	−	0.0761840i	0.00106130	−	0.00326636i
$545$	1.09571	−	10.3003i	0.0469352	−	0.441215i
$546$	−0.930956	+	3.51588i	−0.0398413	+	0.150466i
$547$	−32.3445	−	16.4803i	−1.38295	−	0.704648i	−0.405161	−	0.914245i	$-0.632785\pi$
$547$	−32.3445	−	16.4803i	−1.38295	−	0.704648i	−0.977788	+	0.209598i	$0.932785\pi$
$548$	2.40495	+	15.1842i	0.102734	+	0.648639i
$549$	−19.6619			−0.839151
$550$	−2.55498	+	6.60620i	−0.108945	+	0.281689i
$551$			3.17911i			0.135435i
$552$	0.00693390	+	0.0437789i	0.000295126	+	0.00186336i
$553$	7.27823	−	4.23080i	0.309502	−	0.179912i
$554$	4.47116	−	1.45277i	0.189961	−	0.0617221i
$555$	−3.44086	+	0.726851i	−0.146056	+	0.0308531i
$556$	−13.7937	−	4.48185i	−0.584984	−	0.190073i
$557$	10.7686	−	10.7686i	0.456280	−	0.456280i	−0.441152	−	0.897432i	$-0.645430\pi$
$557$	10.7686	−	10.7686i	0.456280	−	0.456280i	0.897432	+	0.441152i	$0.145430\pi$
$558$	−5.84964	−	11.4806i	−0.247635	−	0.486011i
$559$	−8.95096	+	6.50326i	−0.378585	+	0.275058i
$560$	−5.88261	+	0.628368i	−0.248586	+	0.0265534i
$561$	−0.0448647	−	0.0325961i	−0.00189419	−	0.00137621i
$562$	−5.06588	+	31.9847i	−0.213691	+	1.34919i
$563$	2.64825	−	16.7204i	0.111610	−	0.704681i	−0.866900	−	0.498483i	$-0.833891\pi$
$563$	2.64825	−	16.7204i	0.111610	−	0.704681i	0.978510	−	0.206198i	$-0.0661092\pi$
$564$	3.22606	−	4.44029i	0.135842	−	0.186970i
$565$	1.11787	+	1.38402i	0.0470292	+	0.0582260i
$566$	12.4703	+	17.1638i	0.524164	+	0.721450i
$567$	−1.85666	+	18.1813i	−0.0779724	+	0.763543i
$568$	−6.63109	−	6.63109i	−0.278234	−	0.278234i
$569$	28.7228	+	9.33262i	1.20412	+	0.391244i	0.841277	−	0.540605i	$-0.181805\pi$
$569$	28.7228	+	9.33262i	1.20412	+	0.391244i	0.362848	+	0.931848i	$0.381805\pi$
$570$	3.36803	−	0.711468i	0.141071	−	0.0298001i
$571$	−7.92097	−	24.3782i	−0.331482	−	1.02020i	−0.968429	−	0.249290i	$-0.919803\pi$
$571$	−7.92097	−	24.3782i	−0.331482	−	1.02020i	0.636946	−	0.770908i	$-0.280197\pi$
$572$	1.80908	−	3.55053i	0.0756416	−	0.148455i
$573$	−10.3760	+	1.64340i	−0.433465	+	0.0686542i
$574$	16.4492	+	10.6133i	0.686574	+	0.442989i
$575$	0.438341	−	0.116271i	0.0182801	−	0.00484884i
$576$	−2.76118			−0.115049
$577$	−5.52548	−	34.8865i	−0.230029	−	1.45234i	−0.784493	−	0.620137i	$-0.787077\pi$
$577$	−5.52548	−	34.8865i	−0.230029	−	1.45234i	0.554464	−	0.832207i	$-0.312923\pi$
$578$	−7.71493	+	15.1414i	−0.320899	+	0.629799i
$579$	−3.27599	−	10.0824i	−0.136145	−	0.419012i
$580$	2.24396	+	0.238706i	0.0931752	+	0.00991171i
$581$	−21.1255	−	25.9308i	−0.876432	−	1.07579i
$582$	4.80376	−	4.80376i	0.199122	−	0.199122i
$583$	−17.4815	+	8.90727i	−0.724010	+	0.368902i
$584$	2.85310	−	2.07290i	0.118062	−	0.0857772i
$585$	16.7702	+	4.51618i	0.693360	+	0.186721i
$586$	−12.4221	+	17.0976i	−0.513153	+	0.706294i
$587$	44.1534	+	6.99321i	1.82240	+	0.288641i	0.971563	−	0.236782i	$-0.0760926\pi$
$587$	44.1534	+	6.99321i	1.82240	+	0.288641i	0.850842	+	0.525422i	$0.176093\pi$
$588$	−3.29902	+	0.904888i	−0.136049	+	0.0373169i
$589$	8.64051	−	11.8926i	0.356026	−	0.490028i
$590$	0.856804	−	0.0438218i	0.0352741	−	0.00180411i
$591$	4.59998	+	6.33134i	0.189218	+	0.260436i
$592$	1.46107	+	2.86750i	0.0600494	+	0.117854i
$593$	−12.6150	+	12.6150i	−0.518038	+	0.518038i	−0.916977	−	0.398940i	$-0.869378\pi$
$593$	−12.6150	+	12.6150i	−0.518038	+	0.518038i	0.398940	+	0.916977i	$0.369378\pi$
$594$	−1.23249	+	3.79321i	−0.0505696	+	0.155637i
$595$	−0.473297	−	0.0240003i	−0.0194033	−	0.000983917i
$596$	−5.14106	−	15.8226i	−0.210586	−	0.648118i
$597$	2.08215	+	1.06091i	0.0852166	+	0.0434200i
$598$	−0.251992	+	0.0399117i	−0.0103047	+	0.00163211i
$599$		−	41.8129i		−	1.70843i	−0.519921	−	0.854214i	$-0.674039\pi$
$599$		−	41.8129i		−	1.70843i	0.519921	−	0.854214i	$-0.325961\pi$
$600$	−0.249294	−	2.43073i	−0.0101774	−	0.0992340i
$601$		−	15.9786i		−	0.651780i	−0.945408	−	0.325890i	$-0.894336\pi$
$601$		−	15.9786i		−	0.651780i	0.945408	−	0.325890i	$-0.105664\pi$
$602$	−9.51917	−	4.20457i	−0.387973	−	0.171365i
$603$	10.2844	−	20.1843i	0.418814	−	0.821968i
$604$	−2.12175	+	0.689398i	−0.0863327	+	0.0280512i
$605$	−8.20236	+	18.3606i	−0.333473	+	0.746463i
$606$	0.177000	−	0.544750i	0.00719013	−	0.0221289i
$607$	6.42252	+	6.42252i	0.260682	+	0.260682i	0.825331	−	0.564649i	$-0.190988\pi$
$607$	6.42252	+	6.42252i	0.260682	+	0.260682i	−0.564649	+	0.825331i	$0.690988\pi$
$608$	−1.43014	−	2.80681i	−0.0580000	−	0.113831i
$609$	1.30285	−	0.0721386i	0.0527943	−	0.00292320i
$610$	−14.8723	+	5.68747i	−0.602162	+	0.230279i
$611$	25.5584	+	18.5693i	1.03398	+	0.751233i
$612$	−0.218460	−	0.0346006i	−0.00883071	−	0.00139865i
$613$	5.70466	+	0.903530i	0.230409	+	0.0364932i	0.270571	−	0.962700i	$-0.412787\pi$
$613$	5.70466	+	0.903530i	0.230409	+	0.0364932i	−0.0401620	+	0.999193i	$0.512787\pi$
$614$	17.9964	+	13.0752i	0.726276	+	0.527671i
$615$	−4.41210	+	6.77536i	−0.177913	+	0.273209i
$616$	3.74227	−	0.207208i	0.150780	−	0.00834866i
$617$	−8.04968	−	15.7984i	−0.324068	−	0.636019i	0.670290	−	0.742100i	$-0.266170\pi$
$617$	−8.04968	−	15.7984i	−0.324068	−	0.636019i	−0.994358	+	0.106081i	$0.966170\pi$
$618$	1.99327	+	1.99327i	0.0801811	+	0.0801811i
$619$	−5.99359	+	18.4464i	−0.240903	+	0.741423i	0.755381	+	0.655286i	$0.227452\pi$
$619$	−5.99359	+	18.4464i	−0.240903	+	0.741423i	−0.996283	+	0.0861363i	$0.972548\pi$
$620$	−7.74557	−	6.99182i	−0.311070	−	0.280798i
$621$	0.242864	−	0.0789112i	0.00974579	−	0.00316660i
$622$	−14.9352	+	29.3120i	−0.598847	+	1.17530i
$623$	32.8648	+	14.5162i	1.31670	+	0.581579i
$624$			1.37467i			0.0550310i
$625$	−24.4796	+	5.07460i	−0.979182	+	0.202984i
$626$			14.0633i			0.562084i
$627$	−2.15398	+	0.341157i	−0.0860218	+	0.0136245i
$628$	−13.7763	−	7.01938i	−0.549734	−	0.280104i
$629$	0.0796641	+	0.245181i	0.00317642	+	0.00977600i
$630$	4.25463	+	15.7715i	0.169508	+	0.628353i
$631$	−0.608994	+	1.87429i	−0.0242437	+	0.0746143i	−0.962446	−	0.271472i	$-0.912490\pi$
$631$	−0.608994	+	1.87429i	−0.0242437	+	0.0746143i	0.938203	+	0.346086i	$0.112490\pi$
$632$	2.24996	−	2.24996i	0.0894985	−	0.0894985i
$633$	0.710222	+	1.39389i	0.0282288	+	0.0554021i
$634$	−4.44055	−	6.11190i	−0.176357	−	0.242735i
$635$	−33.2597	−	21.6587i	−1.31987	−	0.859499i
$636$	3.97836	−	5.47574i	0.157752	−	0.217127i
$637$	−5.20855	−	18.9892i	−0.206370	−	0.752380i
$638$	−1.41203	−	0.223644i	−0.0559028	−	0.00885414i
$639$	−15.2199	+	20.9485i	−0.602092	+	0.828708i
$640$	−2.08856	+	0.798707i	−0.0825574	+	0.0315717i
$641$	−20.8940	+	15.1803i	−0.825262	+	0.599588i	−0.918215	−	0.396083i	$-0.870369\pi$
$641$	−20.8940	+	15.1803i	−0.825262	+	0.599588i	0.0929531	+	0.995670i	$0.470369\pi$
$642$	−4.23078	+	2.15569i	−0.166975	+	0.0850782i
$643$	−10.8941	+	10.8941i	−0.429623	+	0.429623i	−0.888500	−	0.458877i	$-0.848252\pi$
$643$	−10.8941	+	10.8941i	−0.429623	+	0.429623i	0.458877	+	0.888500i	$0.348252\pi$
$644$	−0.151568	−	0.186044i	−0.00597260	−	0.00733118i
$645$	1.75313	−	3.92429i	0.0690294	−	0.154519i
$646$	−0.0779781	−	0.239992i	−0.00306801	−	0.00944235i
$647$	15.0363	−	29.5104i	0.591137	−	1.16017i	−0.380740	−	0.924682i	$-0.624331\pi$
$647$	15.0363	−	29.5104i	0.591137	−	1.16017i	0.971877	−	0.235490i	$-0.0756694\pi$
$648$	1.08059	+	6.82258i	0.0424496	+	0.268016i
$649$	−0.543519			−0.0213350
$650$	13.9913	−	1.43494i	0.548785	−	0.0562831i
$651$	−5.06987	−	3.27117i	−0.198704	−	0.128207i
$652$	2.76262	−	0.437556i	0.108193	−	0.0171360i
$653$	−3.59623	+	7.05800i	−0.140731	+	0.276201i	−0.950605	−	0.310404i	$-0.899536\pi$
$653$	−3.59623	+	7.05800i	−0.140731	+	0.276201i	0.809873	+	0.586605i	$0.199536\pi$
$654$	−0.699565	−	2.15304i	−0.0273552	−	0.0841905i
$655$	−10.8342	−	18.8201i	−0.423328	−	0.735362i
$656$	7.03687	+	2.28642i	0.274743	+	0.0892696i
$657$	−6.88555	−	6.88555i	−0.268631	−	0.268631i
$658$	−3.01870	+	29.5605i	−0.117681	+	1.15239i
$659$	9.50361	+	13.0806i	0.370208	+	0.509548i	0.952957	−	0.303104i	$-0.0980231\pi$
$659$	9.50361	+	13.0806i	0.370208	+	0.509548i	−0.582749	+	0.812652i	$0.698023\pi$
$660$	0.0790707	+	1.54599i	0.00307782	+	0.0601777i
$661$	25.8259	−	35.5462i	1.00451	−	1.38259i	0.0819919	−	0.996633i	$-0.473872\pi$
$661$	25.8259	−	35.5462i	1.00451	−	1.38259i	0.922517	−	0.385955i	$-0.126128\pi$
$662$	−3.23049	+	20.3965i	−0.125557	+	0.792734i
$663$	−0.0172262	+	0.108762i	−0.000669009	+	0.00422396i
$664$	−10.2274	−	7.43062i	−0.396899	−	0.288364i
$665$	−13.8285	+	12.4938i	−0.536248	+	0.484488i
$666$	7.18910	−	5.22319i	0.278572	−	0.202394i
$667$	0.0415553	+	0.0815569i	0.00160903	+	0.00315790i
$668$	−3.56898	+	3.56898i	−0.138088	+	0.138088i
$669$	7.97892	+	2.59251i	0.308483	+	0.100232i
$670$	1.94057	−	18.2423i	0.0749706	−	0.704763i
$671$	9.59377	−	3.11721i	0.370364	−	0.120338i
$672$	−1.11783	+	0.649788i	−0.0431212	+	0.0250661i
$673$	0.437558	+	2.76263i	0.0168666	+	0.106492i	0.994685	−	0.102961i	$-0.0328317\pi$
$673$	0.437558	+	2.76263i	0.0168666	+	0.106492i	−0.977819	+	0.209453i	$0.932832\pi$
$674$			19.2232i			0.740449i
$675$	−13.6068	+	3.60923i	−0.523725	+	0.138919i
$676$	5.08735			0.195667
$677$	−3.47258	−	21.9250i	−0.133462	−	0.842647i	−0.960048	−	0.279836i	$-0.909720\pi$
$677$	−3.47258	−	21.9250i	−0.133462	−	0.842647i	0.826586	−	0.562811i	$-0.190280\pi$
$678$	0.346442	+	0.176521i	0.0133050	+	0.00677925i
$679$	−9.41429	+	35.5543i	−0.361287	+	1.36445i
$680$	−0.175252	+	0.0370204i	−0.00672060	+	0.00141967i
$681$	−3.87122	+	11.9144i	−0.148345	+	0.456560i
$682$	4.67438	+	4.67438i	0.178991	+	0.178991i
$683$	−0.983760	+	0.501251i	−0.0376425	+	0.0191798i	−0.472710	−	0.881218i	$-0.656724\pi$
$683$	−0.983760	+	0.501251i	−0.0376425	+	0.0191798i	0.435068	+	0.900398i	$0.356724\pi$
$684$	−7.03695	+	5.11265i	−0.269065	+	0.195487i
$685$	26.7426	−	21.6000i	1.02178	−	0.825294i
$686$	12.9793	−	13.2113i	0.495551	−	0.504410i
$687$	−0.931617	+	5.88200i	−0.0355434	+	0.224412i
$688$	−3.88482	−	0.615296i	−0.148107	−	0.0234579i
$689$	31.5185	+	22.8995i	1.20076	+	0.872402i
$690$	0.0771037	−	0.0622768i	0.00293529	−	0.00237084i
$691$	7.01623	+	9.65702i	0.266910	+	0.367370i	0.921344	−	0.388749i	$-0.127093\pi$
$691$	7.01623	+	9.65702i	0.266910	+	0.367370i	−0.654433	+	0.756120i	$0.727093\pi$
$692$	−18.2360	+	9.29169i	−0.693228	+	0.353217i
$693$	−2.18154	−	10.1164i	−0.0828700	−	0.384289i
$694$	−27.3735	−	8.89419i	−1.03908	−	0.337619i
$695$	6.70285	+	31.7308i	0.254253	+	1.20362i
$696$	0.469048	−	0.152403i	0.0177792	−	0.00577682i
$697$	0.528094	+	0.269077i	0.0200030	+	0.0101920i
$698$	−22.5737	+	3.57533i	−0.854429	+	0.135328i
$699$	−1.30554			−0.0493802
$700$	7.78033	+	10.6989i	0.294069	+	0.404380i
$701$	−2.99485			−0.113114			−0.0565570	−	0.998399i	$-0.518012\pi$
$701$	−2.99485			−0.113114			−0.0565570	+	0.998399i	$0.518012\pi$
$702$	7.82223	−	1.23892i	0.295231	−	0.0467600i
$703$	9.03310	+	4.60259i	0.340690	+	0.173590i
$704$	1.34728	−	0.437757i	0.0507775	−	0.0164986i
$705$	−12.2038	−	1.29821i	−0.459622	−	0.0488933i
$706$	31.3737	+	10.1939i	1.18077	+	0.383654i
$707$	0.653689	+	3.03132i	0.0245845	+	0.114004i
$708$	0.167064	−	0.0851234i	0.00627865	−	0.00319913i
$709$	−20.8015	−	28.6308i	−0.781216	−	1.07525i	−0.995147	−	0.0984030i	$-0.968627\pi$
$709$	−20.8015	−	28.6308i	−0.781216	−	1.07525i	0.213930	−	0.976849i	$-0.431373\pi$
$710$	−5.45276	+	20.2480i	−0.204638	+	0.759894i
$711$	−7.10790	−	5.16419i	−0.266567	−	0.193672i
$712$	13.4123	+	2.12430i	0.502647	+	0.0796114i
$713$	0.0662105	−	0.418037i	0.00247960	−	0.0156556i
$714$	−0.0965833	+	0.0374025i	−0.00361454	+	0.00139975i
$715$	−8.89876	+	0.455133i	−0.332795	+	0.0170210i
$716$	−3.70411	+	2.69119i	−0.138429	+	0.100575i
$717$	−1.86111	+	0.948284i	−0.0695045	+	0.0354143i
$718$	−8.71062	−	8.71062i	−0.325077	−	0.325077i
$719$	9.98976	−	30.7453i	0.372555	−	1.14661i	−0.572558	−	0.819864i	$-0.694049\pi$
$719$	9.98976	−	30.7453i	0.372555	−	1.14661i	0.945113	−	0.326743i	$-0.105951\pi$
$720$	3.08036	+	5.35088i	0.114798	+	0.199415i
$721$	−14.7529	−	3.90636i	−0.549426	−	0.145481i
$722$	8.08721	+	4.12064i	0.300975	+	0.153354i
$723$	1.82874	+	11.5462i	0.0680115	+	0.429408i
$724$	19.1512			0.711749
$725$	−2.04076	−	4.61486i	−0.0757920	−	0.171392i
$726$			4.39494i			0.163112i
$727$	4.91150	+	31.0100i	0.182157	+	1.15010i	0.894103	+	0.447862i	$0.147814\pi$
$727$	4.91150	+	31.0100i	0.182157	+	1.15010i	−0.711946	+	0.702235i	$0.752186\pi$
$728$	−3.74019	−	6.43424i	−0.138621	−	0.238469i
$729$	14.2140	−	4.61840i	0.526444	−	0.171052i
$730$	−7.19998	−	3.21650i	−0.266483	−	0.119048i
$731$	−0.299650	−	0.0973623i	−0.0110830	−	0.00360108i
$732$	−2.46068	+	2.46068i	−0.0909494	+	0.0909494i
$733$	5.61927	+	11.0284i	0.207552	+	0.407345i	0.971192	−	0.238298i	$-0.0765896\pi$
$733$	5.61927	+	11.0284i	0.207552	+	0.407345i	−0.763640	+	0.645643i	$0.776590\pi$
$734$	19.0392	−	13.8328i	0.702749	−	0.510577i
$735$	5.43395	+	5.38367i	0.200434	+	0.198580i
$736$	−0.0733778	−	0.0533121i	−0.00270474	−	0.00196511i
$737$	−1.81812	+	11.4791i	−0.0669713	+	0.422840i
$738$	3.19595	−	20.1784i	0.117644	−	0.742778i
$739$	−10.3594	+	14.2584i	−0.381075	+	0.524505i	−0.955869	−	0.293793i	$-0.905082\pi$
$739$	−10.3594	+	14.2584i	−0.381075	+	0.524505i	0.574794	+	0.818298i	$0.305082\pi$
$740$	3.92697	−	6.03037i	0.144358	−	0.221681i
$741$	2.54537	+	3.50340i	0.0935065	+	0.128701i
$742$	−3.72264	+	36.4538i	−0.136662	+	1.33826i
$743$	4.33031	+	4.33031i	0.158864	+	0.158864i	0.782063	−	0.623199i	$-0.214168\pi$
$743$	4.33031	+	4.33031i	0.158864	+	0.158864i	−0.623199	+	0.782063i	$0.714168\pi$
$744$	−2.16887	−	0.704707i	−0.0795145	−	0.0258358i
$745$	−24.9272	+	27.6144i	−0.913261	+	1.01171i
$746$	−0.581500	−	1.78967i	−0.0212902	−	0.0655246i
$747$	−15.8470	+	31.1015i	−0.579812	+	1.13795i
$748$	0.112080	−	0.0177517i	0.00409805	−	0.000649068i
$749$	13.9373	−	21.6009i	0.509256	−	0.789279i
$750$	−4.43239	+	3.19482i	−0.161848	+	0.116658i
$751$	−51.9424			−1.89540			−0.947702	−	0.319155i	$-0.896601\pi$
$751$	−51.9424			−1.89540			−0.947702	+	0.319155i	$0.896601\pi$
$752$	1.75690	+	11.0927i	0.0640677	+	0.404508i
$753$	6.56746	−	12.8894i	0.239331	−	0.469714i
$754$	0.877236	+	2.69985i	0.0319470	+	0.0983229i
$755$	3.70299	+	3.34264i	0.134766	+	0.121651i
$756$	4.70489	+	5.77510i	0.171115	+	0.210038i
$757$	−32.7549	+	32.7549i	−1.19050	+	1.19050i	−0.213571	+	0.976927i	$0.568510\pi$
$757$	−32.7549	+	32.7549i	−1.19050	+	1.19050i	−0.976927	+	0.213571i	$0.931490\pi$
$758$	−30.1032	+	15.3383i	−1.09340	+	0.557114i
$759$	−0.0507989	+	0.0369075i	−0.00184388	+	0.00133966i
$760$	−3.84386	+	5.90274i	−0.139431	+	0.214115i
$761$	18.9714	−	26.1120i	0.687715	−	0.946558i	−0.312280	−	0.949990i	$-0.601093\pi$
$761$	18.9714	−	26.1120i	0.687715	−	0.946558i	0.999994	+	0.00343242i	$0.00109257\pi$
$762$	−8.56754	−	1.35696i	−0.310369	−	0.0491576i
$763$	9.13232	+	8.17407i	0.330612	+	0.295921i
$764$	12.6355	−	17.3913i	0.457136	−	0.629194i
$765$	0.176660	+	0.461953i	0.00638716	+	0.0167019i
$766$	7.29552	+	10.0414i	0.263598	+	0.362811i
$767$	0.489972	+	0.961625i	0.0176919	+	0.0347223i
$768$	−0.345560	+	0.345560i	−0.0124693	+	0.0124693i
$769$	−10.3970	+	31.9987i	−0.374926	+	1.15390i	0.568603	+	0.822612i	$0.307484\pi$
$769$	−10.3970	+	31.9987i	−0.374926	+	1.15390i	−0.943529	+	0.331291i	$0.892516\pi$
$770$	−4.57641	−	7.02098i	−0.164922	−	0.253019i
$771$	1.72548	+	5.31047i	0.0621415	+	0.191252i
$772$	19.3287	+	9.84845i	0.695654	+	0.354453i
$773$	−16.3978	+	2.59716i	−0.589788	+	0.0934133i	−0.444193	−	0.895931i	$-0.646510\pi$
$773$	−16.3978	+	2.59716i	−0.589788	+	0.0934133i	−0.145595	+	0.989344i	$0.546510\pi$
$774$			10.8604i			0.390369i
$775$	−4.90850	+	22.8102i	−0.176319	+	0.819365i
$776$			13.9014i			0.499030i
$777$	1.68125	−	3.80636i	0.0603144	−	0.136552i
$778$	−2.68132	+	5.26239i	−0.0961300	+	0.188666i
$779$	22.1673	−	7.20258i	0.794225	−	0.258059i
$780$	2.66397	−	1.53358i	0.0953856	−	0.0549109i
$781$	4.10519	−	12.6345i	0.146895	−	0.452097i
$782$	−0.00513747	−	0.00513747i	−0.000183715	−	0.000183715i
$783$	−1.28994	−	2.53165i	−0.0460987	−	0.0904738i
$784$	3.46413	−	6.08274i	0.123719	−	0.217241i
$785$	1.76595	+	34.5278i	0.0630294	+	1.23235i
$786$	−3.83961	−	2.78964i	−0.136954	−	0.0995031i
$787$	0.521497	+	0.0825970i	0.0185893	+	0.00294426i	0.165722	−	0.986172i	$-0.447004\pi$
$787$	0.521497	+	0.0825970i	0.0185893	+	0.00294426i	−0.147133	+	0.989117i	$0.547004\pi$
$788$	−15.8168	−	2.50514i	−0.563451	−	0.0892419i
$789$	5.08584	+	3.69508i	0.181061	+	0.131548i
$790$	−6.87023	−	1.85015i	−0.244432	−	0.0658252i
$791$	−2.10182	+	0.116377i	−0.0747321	+	0.00413789i
$792$	−1.77579	−	3.48519i	−0.0631000	−	0.123841i
$793$	−14.1637	−	14.1637i	−0.502969	−	0.502969i
$794$	−3.89805	+	11.9970i	−0.138337	+	0.425756i
$795$	−15.0497	−	1.60094i	−0.533757	−	0.0567795i
$796$	−4.54777	+	1.47766i	−0.161191	+	0.0523742i
$797$	−12.7563	+	25.0357i	−0.451852	+	0.886809i	0.546916	+	0.837187i	$0.315802\pi$
$797$	−12.7563	+	25.0357i	−0.451852	+	0.886809i	−0.998768	+	0.0496217i	$0.984198\pi$
$798$	−1.64566	+	3.72580i	−0.0582559	+	0.131892i
$799$			0.899649i			0.0318273i
$800$	3.87780	+	3.15637i	0.137101	+	0.111595i
$801$		−	37.4953i		−	1.32483i
$802$	−6.58137	+	1.04239i	−0.232396	+	0.0368079i
$803$	4.45135	+	2.26808i	0.157085	+	0.0800387i
$804$	−1.23897	−	3.81315i	−0.0436950	−	0.134479i
$805$	−0.191447	+	0.501273i	−0.00674761	+	0.0176676i
$806$	4.05631	−	12.4840i	0.142877	−	0.439732i
$807$	−0.0758922	+	0.0758922i	−0.00267153	+	0.00267153i
$808$	0.532107	+	1.04432i	0.0187195	+	0.0367390i
$809$	2.08910	+	2.87540i	0.0734488	+	0.101094i	0.844161	−	0.536090i	$-0.180099\pi$
$809$	2.08910	+	2.87540i	0.0734488	+	0.101094i	−0.770712	+	0.637184i	$0.780099\pi$
$810$	12.0160	−	9.70532i	0.422198	−	0.341010i
$811$	14.2195	−	19.5714i	0.499313	−	0.687245i	−0.482759	−	0.875753i	$-0.660365\pi$
$811$	14.2195	−	19.5714i	0.499313	−	0.687245i	0.982072	+	0.188508i	$0.0603653\pi$
$812$	−1.78076	+	1.98951i	−0.0624923	+	0.0698182i
$813$	−5.61048	−	0.888612i	−0.196768	−	0.0311650i
$814$	−2.67974	+	3.68835i	−0.0939249	+	0.129276i
$815$	−3.92991	−	4.86554i	−0.137659	−	0.170433i
$816$	−0.0316704	+	0.0230099i	−0.00110869	+	0.000805507i
$817$	−11.0399	+	5.62511i	−0.386237	+	0.196798i
$818$	−5.94394	+	5.94394i	−0.207825	+	0.207825i
$819$	−15.9318	+	12.9794i	−0.556702	+	0.453537i
$820$	−3.41945	−	16.1874i	−0.119413	−	0.565290i
$821$	−4.04505	−	12.4494i	−0.141173	−	0.434487i	0.855326	−	0.518091i	$-0.173357\pi$
$821$	−4.04505	−	12.4494i	−0.141173	−	0.434487i	−0.996499	+	0.0836038i	$0.973357\pi$
$822$	3.41082	−	6.69410i	0.118966	−	0.233484i
$823$	−2.86534	−	18.0911i	−0.0998796	−	0.630615i	−0.985947	−	0.167059i	$-0.946573\pi$
$823$	−2.86534	−	18.0911i	−0.0998796	−	0.630615i	0.886067	−	0.463557i	$-0.153427\pi$
$824$	−5.76823			−0.200946
$825$	2.90776	−	1.87793i	0.101235	−	0.0653812i
$826$	−0.550352	+	0.852972i	−0.0191492	+	0.0296787i
$827$	43.7315	−	6.92639i	1.52069	−	0.240854i	0.660502	−	0.750824i	$-0.270343\pi$
$827$	43.7315	−	6.92639i	1.52069	−	0.240854i	0.860192	+	0.509970i	$0.170343\pi$
$828$	−0.113697	+	0.223142i	−0.00395123	+	0.00775473i
$829$	7.29937	+	22.4651i	0.253517	+	0.780247i	0.994118	+	0.108301i	$0.0345411\pi$
$829$	7.29937	+	22.4651i	0.253517	+	0.780247i	−0.740601	+	0.671945i	$0.765459\pi$
$830$	−2.99017	+	28.1092i	−0.103790	+	0.975684i
$831$	−2.18503	−	0.709961i	−0.0757980	−	0.0246283i
$832$	−1.98905	−	1.98905i	−0.0689579	−	0.0689579i
$833$	0.350300	−	0.437847i	0.0121372	−	0.0151705i
$834$	4.16613	+	5.73418i	0.144261	+	0.198558i
$835$	10.8979	+	2.93478i	0.377136	+	0.101562i
$836$	2.62303	−	3.61029i	0.0907192	−	0.124864i
$837$	−2.05528	+	12.9765i	−0.0710407	+	0.448533i
$838$	5.79520	−	36.5894i	0.200192	−	1.26396i
$839$	10.1014	+	7.33907i	0.348738	+	0.253373i	0.748339	−	0.663316i	$-0.230852\pi$
$839$	10.1014	+	7.33907i	0.348738	+	0.253373i	−0.399602	+	0.916689i	$0.630852\pi$
$840$	2.50627	+	1.44134i	0.0864744	+	0.0497308i
$841$	−22.6375	+	16.4471i	−0.780605	+	0.567143i
$842$	−12.2822	−	24.1052i	−0.423274	−	0.830722i
$843$	11.1904	−	11.1904i	0.385418	−	0.385418i
$844$	−3.04449	−	0.989216i	−0.104796	−	0.0340502i
$845$	−5.67543	−	9.85877i	−0.195241	−	0.339152i
$846$	29.4928	−	9.58280i	1.01398	−	0.329463i
$847$	−11.9577	−	20.5708i	−0.410871	−	0.706821i
$848$	2.16660	+	13.6794i	0.0744014	+	0.469752i
$849$		−	10.3680i		−	0.355829i
$850$	0.267252	+	0.298320i	0.00916666	+	0.0102323i
$851$	0.291897			0.0100061
$852$	0.716921	+	4.52646i	0.0245613	+	0.155074i
$853$	−40.7913	−	20.7842i	−1.39667	−	0.711638i	−0.416376	−	0.909192i	$-0.636700\pi$
$853$	−40.7913	−	20.7842i	−1.39667	−	0.711638i	−0.980292	+	0.197555i	$0.936700\pi$
$854$	4.82239	−	18.2124i	0.165019	−	0.623214i
$855$	17.7582	+	7.93325i	0.607317	+	0.271311i
$856$	3.00250	−	9.24075i	0.102623	−	0.315842i
$857$	−2.03499	−	2.03499i	−0.0695140	−	0.0695140i	0.671495	−	0.741009i	$-0.265652\pi$
$857$	−2.03499	−	2.03499i	−0.0695140	−	0.0695140i	−0.741009	+	0.671495i	$0.765652\pi$
$858$	−1.73513	+	0.884091i	−0.0592363	+	0.0301824i
$859$	−7.28661	+	5.29403i	−0.248616	+	0.180630i	−0.705113	−	0.709095i	$-0.749104\pi$
$859$	−7.28661	+	5.29403i	−0.248616	+	0.180630i	0.456497	+	0.889725i	$0.349104\pi$
$860$	3.14151	+	8.21481i	0.107125	+	0.280123i
$861$	−3.45475	−	8.92108i	−0.117737	−	0.304030i
$862$	0.477083	−	3.01218i	0.0162495	−	0.102595i
$863$	19.5168	+	3.09116i	0.664360	+	0.105224i	0.479502	−	0.877541i	$-0.340817\pi$
$863$	19.5168	+	3.09116i	0.664360	+	0.105224i	0.184858	+	0.982765i	$0.440817\pi$
$864$	2.27776	+	1.65489i	0.0774908	+	0.0563004i
$865$	38.3503	+	24.9737i	1.30395	+	0.849131i
$866$	0.829580	+	1.14182i	0.0281903	+	0.0388006i
$867$	7.39953	−	3.77025i	0.251301	−	0.128044i
$868$	12.0689	−	2.60259i	0.409644	−	0.0883378i
$869$	4.28693	+	1.39291i	0.145424	+	0.0472512i
$870$	−0.818610	−	0.738948i	−0.0277535	−	0.0250527i
$871$	21.9486	−	7.13152i	0.743698	−	0.241642i
$872$	4.12751	+	2.10307i	0.139775	+	0.0712190i
$873$	37.9116	−	6.00460i	1.28311	−	0.203225i
$874$	−0.285719			−0.00966460
$875$	12.0537	−	27.0131i	0.407488	−	0.913210i
$876$	−1.72345			−0.0582299
$877$	−12.7400	+	2.01782i	−0.430200	+	0.0681370i	−0.367780	−	0.929913i	$-0.619882\pi$
$877$	−12.7400	+	2.01782i	−0.430200	+	0.0681370i	−0.0624204	+	0.998050i	$0.519882\pi$
$878$	−30.8718	−	15.7300i	−1.04187	−	0.530860i
$879$	9.82249	−	3.19152i	0.331304	−	0.107647i
$880$	−2.35135	−	2.12253i	−0.0792639	−	0.0715504i
$881$	−0.304161	−	0.0988278i	−0.0102474	−	0.00332959i	0.303889	−	0.952708i	$-0.401715\pi$
$881$	−0.304161	−	0.0988278i	−0.0102474	−	0.00332959i	−0.314136	+	0.949378i	$0.601715\pi$
$882$	−18.0851	−	6.81992i	−0.608956	−	0.229639i
$883$	−50.1342	+	25.5447i	−1.68715	+	0.859646i	−0.697427	+	0.716656i	$0.745672\pi$
$883$	−50.1342	+	25.5447i	−1.68715	+	0.859646i	−0.989724	+	0.142990i	$0.954328\pi$
$884$	−0.132445	−	0.182295i	−0.00445462	−	0.00613126i
$885$	−0.351336	−	0.228790i	−0.0118100	−	0.00769069i
$886$	−2.19252	−	1.59296i	−0.0736591	−	0.0535165i
$887$	−22.3727	−	3.54349i	−0.751202	−	0.118979i	−0.230920	−	0.972973i	$-0.574173\pi$
$887$	−22.3727	−	3.54349i	−0.751202	−	0.118979i	−0.520283	+	0.853994i	$0.674173\pi$
$888$	0.246033	−	1.55339i	0.00825633	−	0.0521284i
$889$	43.7929	−	16.9591i	1.46877	−	0.568789i
$890$	−10.8460	−	28.3615i	−0.363559	−	0.950680i
$891$	−7.91658	+	5.75173i	−0.265215	+	0.192690i
$892$	−15.2961	+	7.79374i	−0.512151	+	0.260954i
$893$	25.0169	+	25.0169i	0.837159	+	0.837159i
$894$	−2.51242	+	7.73242i	−0.0840277	+	0.258611i
$895$	9.34755	+	4.17590i	0.312454	+	0.139585i
$896$	0.677220	−	2.55761i	0.0226243	−	0.0854438i
$897$	0.111093	+	0.0566047i	0.00370929	+	0.00188998i
$898$	−3.69653	−	23.3390i	−0.123355	−	0.778831i
$899$	−4.70935			−0.157066
$900$	6.93302	−	11.9388i	0.231101	−	0.397961i
$901$			1.10944i			0.0369608i
$902$	1.63967	+	10.3525i	0.0545950	+	0.344700i
$903$	2.55578	+	4.39670i	0.0850509	+	0.146313i
$904$	−0.756689	+	0.245863i	−0.0251671	+	0.00817729i
$905$	−21.3650	−	37.1131i	−0.710197	−	1.23368i
$906$	1.03689	+	0.336906i	0.0344483	+	0.0111929i
$907$	18.2626	−	18.2626i	0.606399	−	0.606399i	−0.335604	−	0.942003i	$-0.608941\pi$
$907$	18.2626	−	18.2626i	0.606399	−	0.606399i	0.942003	+	0.335604i	$0.108941\pi$
$908$	−11.6379	−	22.8406i	−0.386217	−	0.757993i
$909$	2.61821	−	1.90224i	0.0868405	−	0.0630933i
$910$	−8.29636	+	14.4261i	−0.275022	+	0.478221i
$911$	31.2909	+	22.7342i	1.03671	+	0.753216i	0.969641	−	0.244532i	$-0.0786343\pi$
$911$	31.2909	+	22.7342i	1.03671	+	0.753216i	0.0670720	+	0.997748i	$0.478634\pi$
$912$	−0.240826	+	1.52052i	−0.00797455	+	0.0503493i
$913$	2.80150	−	17.6880i	0.0927160	−	0.585386i
$914$	−0.0531228	+	0.0731172i	−0.00175714	+	0.00241850i
$915$	7.51367	+	2.02342i	0.248394	+	0.0668923i
$916$	−7.16284	−	9.85880i	−0.236667	−	0.325744i
$917$	25.5615	+	2.61033i	0.844117	+	0.0862005i
$918$	0.159475	+	0.159475i	0.00526345	+	0.00526345i
$919$	25.9967	+	8.44683i	0.857551	+	0.278635i	0.704605	−	0.709599i	$-0.251124\pi$
$919$	25.9967	+	8.44683i	0.857551	+	0.278635i	0.152946	+	0.988235i	$0.451124\pi$
$920$	−0.0214534	+	0.201673i	−0.000707298	+	0.00664897i
$921$	−3.35930	−	10.3389i	−0.110693	−	0.340677i
$922$	−6.46086	+	12.6802i	−0.212777	+	0.417599i
$923$	−26.0544	+	4.12661i	−0.857591	+	0.135829i
$924$	−1.53908	−	0.993038i	−0.0506319	−	0.0326686i
$925$	−16.0671	−	0.882610i	−0.528284	−	0.0290200i
$926$	7.12414			0.234114
$927$	2.49155	+	15.7310i	0.0818332	+	0.516674i
$928$	−0.458163	+	0.899195i	−0.0150399	+	0.0295175i
$929$	12.0730	+	37.1567i	0.396101	+	1.21907i	0.928101	+	0.372328i	$0.121440\pi$
$929$	12.0730	+	37.1567i	0.396101	+	1.21907i	−0.532000	+	0.846744i	$0.678560\pi$
$930$	1.05393	+	4.98921i	0.0345596	+	0.163603i
$931$	−2.43446	−	21.9163i	−0.0797863	−	0.718279i
$932$	1.88903	−	1.88903i	0.0618771	−	0.0618771i
$933$	14.3246	−	7.29877i	0.468968	−	0.238951i
$934$	7.15216	−	5.19635i	0.234026	−	0.170030i
$935$	−0.159437	−	0.197396i	−0.00521415	−	0.00645554i
$936$	−4.56535	+	6.28366i	−0.149223	+	0.205388i
$937$	−22.9868	−	3.64075i	−0.750946	−	0.118938i	−0.230783	−	0.973005i	$-0.574129\pi$
$937$	−22.9868	−	3.64075i	−0.750946	−	0.118938i	−0.520163	+	0.854067i	$0.674129\pi$
$938$	16.1738	+	14.4767i	0.528094	+	0.472681i
$939$	4.03966	−	5.56012i	0.131829	−	0.181448i
$940$	19.5364	−	15.7796i	0.637208	−	0.514674i
$941$	−14.5182	−	19.9826i	−0.473279	−	0.651413i	0.503917	−	0.863752i	$-0.331892\pi$
$941$	−14.5182	−	19.9826i	−0.473279	−	0.651413i	−0.977196	+	0.212339i	$0.931892\pi$
$942$	3.43034	+	6.73242i	0.111766	+	0.219354i
$943$	0.474531	−	0.474531i	0.0154529	−	0.0154529i
$944$	−0.118562	+	0.364897i	−0.00385887	+	0.0118764i
$945$	5.94280	−	15.5603i	0.193319	−	0.506176i
$946$	−1.72181	−	5.29918i	−0.0559808	−	0.172291i
$947$	36.2510	+	18.4708i	1.17800	+	0.600221i	0.929648	−	0.368449i	$-0.120111\pi$
$947$	36.2510	+	18.4708i	1.17800	+	0.600221i	0.248352	+	0.968670i	$0.420111\pi$
$948$	−1.53585	+	0.243254i	−0.0498820	+	0.00790053i
$949$		−	9.92020i		−	0.322023i
$950$	15.7271	+	0.863931i	0.510254	+	0.0280296i
$951$			3.69196i			0.119720i
$952$	0.0856303	−	0.193868i	0.00277529	−	0.00628329i
$953$	−15.1120	+	29.6591i	−0.489527	+	0.960751i	0.505658	+	0.862734i	$0.331250\pi$
$953$	−15.1120	+	29.6591i	−0.489527	+	0.960751i	−0.995185	+	0.0980170i	$0.968750\pi$
$954$	36.3703	−	11.8174i	1.17753	−	0.382604i
$955$	−47.7986	−	5.08467i	−1.54673	−	0.164536i
$956$	1.32080	−	4.06499i	0.0427176	−	0.131471i
$957$	0.494023	+	0.494023i	0.0159695	+	0.0159695i
$958$	6.01141	+	11.7980i	0.194220	+	0.381178i
$959$	2.24869	+	40.6123i	0.0726139	+	1.31144i
$960$	1.05516	+	0.284155i	0.0340553	+	0.00917105i
$961$	−7.46247	−	5.42180i	−0.240725	−	0.174897i
$962$	8.94136	+	1.41617i	0.288281	+	0.0456592i
$963$	−26.4981	−	4.19689i	−0.853890	−	0.135243i
$964$	−19.3526	−	14.0605i	−0.623304	−	0.452857i
$965$	−2.47769	−	48.4439i	−0.0797597	−	1.55946i
$966$	0.00648338	+	0.117093i	0.000208599	+	0.00376739i
$967$	−2.71851	−	5.33538i	−0.0874214	−	0.171574i	0.843156	−	0.537668i	$-0.180695\pi$
$967$	−2.71851	−	5.33538i	−0.0874214	−	0.171574i	−0.930578	+	0.366094i	$0.880695\pi$
$968$	−6.35916	−	6.35916i	−0.204391	−	0.204391i
$969$	−0.0381075	+	0.117283i	−0.00122419	+	0.00376767i
$970$	26.9394	−	15.5083i	0.864973	−	0.497942i
$971$	36.6510	−	11.9086i	1.17619	−	0.382166i	0.345238	−	0.938515i	$-0.387798\pi$
$971$	36.6510	−	11.9086i	1.17619	−	0.382166i	0.830949	+	0.556349i	$0.187798\pi$
$972$	5.36713	−	10.5336i	0.172151	−	0.337865i
$973$	−35.1013	−	15.5041i	−1.12530	−	0.497037i
$974$		−	26.6567i		−	0.854136i
$975$	−5.94384	−	3.45166i	−0.190355	−	0.110541i
$976$		−	7.12085i		−	0.227933i
$977$	−29.6469	+	4.69561i	−0.948488	+	0.150226i	−0.611466	−	0.791271i	$-0.709420\pi$
$977$	−29.6469	+	4.69561i	−0.948488	+	0.150226i	−0.337022	+	0.941497i	$0.609420\pi$
$978$	−1.21793	−	0.620564i	−0.0389450	−	0.0198435i
$979$	5.94452	+	18.2953i	0.189988	+	0.584722i
$980$	−15.6523	+	0.0727490i	−0.499995	+	0.00232388i
$981$	3.95261	−	12.1649i	0.126197	−	0.388395i
$982$	16.5101	−	16.5101i	0.526858	−	0.526858i
$983$	−10.9946	−	21.5781i	−0.350672	−	0.688233i	0.646538	−	0.762882i	$-0.276216\pi$
$983$	−10.9946	−	21.5781i	−0.350672	−	0.688233i	−0.997210	+	0.0746490i	$0.976216\pi$
$984$	−2.12535	−	2.92529i	−0.0677536	−	0.0932549i
$985$	12.7905	+	33.4461i	0.407538	+	1.06568i
$986$	−0.0475170	+	0.0654015i	−0.00151325	+	0.00208281i
$987$	9.68468	−	10.8200i	0.308267	−	0.344405i
$988$	−8.75213	−	1.38620i	−0.278442	−	0.0441009i
$989$	−0.209690	+	0.288613i	−0.00666774	+	0.00917736i
$990$	−4.77287	+	7.32936i	−0.151692	+	0.232942i
$991$	−6.51512	+	4.73351i	−0.206960	+	0.150365i	−0.686437	−	0.727189i	$-0.740826\pi$
$991$	−6.51512	+	4.73351i	−0.206960	+	0.150365i	0.479477	+	0.877554i	$0.340826\pi$
$992$	4.15785	−	2.11853i	0.132012	−	0.0672634i
$993$	7.13608	−	7.13608i	0.226457	−	0.226457i
$994$	−15.6711	−	19.2358i	−0.497058	−	0.610122i
$995$	7.93702	+	7.16464i	0.251621	+	0.227134i
$996$	1.90909	+	5.87559i	0.0604920	+	0.186175i
$997$	−11.6107	+	22.7872i	−0.367713	+	0.721677i	−0.998527	−	0.0542567i	$-0.982721\pi$
$997$	−11.6107	+	22.7872i	−0.367713	+	0.721677i	0.630814	+	0.775934i	$0.282721\pi$
$998$	5.92830	+	37.4298i	0.187657	+	1.18482i
$999$	−9.06093			−0.286675

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.r.a.13.15	✓	160
7.6	odd	2	inner	350.2.r.a.13.16	yes	160
25.2	odd	20	inner	350.2.r.a.27.16	yes	160
175.27	even	20	inner	350.2.r.a.27.15	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.r.a.13.15	✓	160	1.1	even	1	trivial
350.2.r.a.13.16	yes	160	7.6	odd	2	inner
350.2.r.a.27.15	yes	160	175.27	even	20	inner
350.2.r.a.27.16	yes	160	25.2	odd	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.r (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.987688 - 0.156434i) q^{2} +(-0.435431 - 0.221863i) q^{3} +(0.951057 - 0.309017i) q^{4} +(-1.65984 - 1.49831i) q^{5} +(-0.464777 - 0.151015i) q^{6} +(2.58630 - 0.557723i) q^{7} +(0.891007 - 0.453990i) q^{8} +(-1.62298 - 2.23384i) q^{9} +O(q^{10})\)	\(q+(0.987688 - 0.156434i) q^{2} +(-0.435431 - 0.221863i) q^{3} +(0.951057 - 0.309017i) q^{4} +(-1.65984 - 1.49831i) q^{5} +(-0.464777 - 0.151015i) q^{6} +(2.58630 - 0.557723i) q^{7} +(0.891007 - 0.453990i) q^{8} +(-1.62298 - 2.23384i) q^{9} +(-1.87379 - 1.22021i) q^{10} +(1.14606 + 0.832664i) q^{11} +(-0.482679 - 0.0764488i) q^{12} +(0.440041 - 2.77831i) q^{13} +(2.46721 - 0.955443i) q^{14} +(0.390324 + 1.02067i) q^{15} +(0.809017 - 0.587785i) q^{16} +(0.0713737 - 0.0363667i) q^{17} +(-1.95245 - 1.95245i) q^{18} +(0.973453 - 2.99598i) q^{19} +(-2.04160 - 0.912061i) q^{20} +(-1.24989 - 0.330955i) q^{21} +(1.26221 + 0.643129i) q^{22} +(-0.0141886 - 0.0895832i) q^{23} -0.488696 q^{24} +(0.510122 + 4.97391i) q^{25} -2.81294i q^{26} +(0.440435 + 2.78080i) q^{27} +(2.28737 - 1.32964i) q^{28} +(-0.959797 + 0.311857i) q^{29} +(0.545187 + 0.947042i) q^{30} +(4.43807 + 1.44202i) q^{31} +(0.707107 - 0.707107i) q^{32} +(-0.314294 - 0.616837i) q^{33} +(0.0648060 - 0.0470843i) q^{34} +(-5.12848 - 2.94935i) q^{35} +(-2.23384 - 1.62298i) q^{36} +(-0.503449 + 3.17865i) q^{37} +(0.492794 - 3.11138i) q^{38} +(-0.808012 + 1.11213i) q^{39} +(-2.15915 - 0.581455i) q^{40} +(4.34902 + 5.98592i) q^{41} +(-1.28628 - 0.131354i) q^{42} +(-2.78123 - 2.78123i) q^{43} +(1.34728 + 0.437757i) q^{44} +(-0.653106 + 6.13954i) q^{45} +(-0.0280278 - 0.0862607i) q^{46} +(-5.09874 + 10.0068i) q^{47} +(-0.482679 + 0.0764488i) q^{48} +(6.37789 - 2.88488i) q^{49} +(1.28193 + 4.83287i) q^{50} -0.0391467 q^{51} +(-0.440041 - 2.77831i) q^{52} +(-6.28773 + 12.3404i) q^{53} +(0.870025 + 2.67766i) q^{54} +(-0.654689 - 3.09925i) q^{55} +(2.05121 - 1.67109i) q^{56} +(-1.08857 + 1.08857i) q^{57} +(-0.899195 + 0.458163i) q^{58} +(-0.310400 + 0.225519i) q^{59} +(0.686624 + 0.850096i) q^{60} +(4.18553 - 5.76089i) q^{61} +(4.60901 + 0.729996i) q^{62} +(-5.44337 - 4.87220i) q^{63} +(0.587785 - 0.809017i) q^{64} +(-4.89317 + 3.95223i) q^{65} +(-0.406919 - 0.560076i) q^{66} +(3.72465 + 7.31004i) q^{67} +(0.0566425 - 0.0566425i) q^{68} +(-0.0136971 + 0.0421552i) q^{69} +(-5.52672 - 2.11077i) q^{70} +(-2.89789 - 8.91880i) q^{71} +(-2.46023 - 1.25355i) q^{72} +(3.48321 - 0.551686i) q^{73} +3.21827i q^{74} +(0.881404 - 2.27897i) q^{75} -3.15016i q^{76} +(3.42846 + 1.51433i) q^{77} +(-0.624088 + 1.22484i) q^{78} +(3.02619 - 0.983268i) q^{79} +(-2.22352 - 0.236532i) q^{80} +(-2.13457 + 6.56954i) q^{81} +(5.23188 + 5.23188i) q^{82} +(-5.73923 - 11.2639i) q^{83} +(-1.29099 + 0.0714816i) q^{84} +(-0.172957 - 0.0465772i) q^{85} +(-3.18206 - 2.31191i) q^{86} +(0.487115 + 0.0771514i) q^{87} +(1.39917 + 0.221607i) q^{88} +(10.9860 + 7.98182i) q^{89} +(0.315370 + 6.16612i) q^{90} +(-0.411450 - 7.43096i) q^{91} +(-0.0411769 - 0.0808142i) q^{92} +(-1.61254 - 1.61254i) q^{93} +(-3.47055 + 10.6812i) q^{94} +(-6.10469 + 3.51431i) q^{95} +(-0.464777 + 0.151015i) q^{96} +(-6.31109 + 12.3862i) q^{97} +(5.84807 - 3.84708i) q^{98} -3.91152i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q + 8 q^{7}+O(q^{10}) \) 160 * q + 8 * q^7	\( 160 q + 8 q^{7} + 16 q^{15} + 40 q^{16} - 8 q^{18} - 24 q^{22} - 32 q^{23} + 12 q^{28} - 40 q^{29} - 56 q^{30} + 28 q^{35} + 40 q^{36} - 32 q^{37} + 40 q^{39} - 112 q^{43} - 32 q^{50} + 112 q^{53} - 152 q^{57} + 16 q^{58} + 8 q^{60} - 100 q^{63} - 8 q^{65} - 16 q^{67} - 56 q^{70} - 8 q^{72} - 144 q^{77} + 40 q^{78} + 40 q^{81} - 60 q^{84} + 48 q^{85} - 16 q^{88} + 8 q^{92} + 56 q^{93} - 104 q^{95} - 32 q^{98}+O(q^{100}) \) 160 * q + 8 * q^7 + 16 * q^15 + 40 * q^16 - 8 * q^18 - 24 * q^22 - 32 * q^23 + 12 * q^28 - 40 * q^29 - 56 * q^30 + 28 * q^35 + 40 * q^36 - 32 * q^37 + 40 * q^39 - 112 * q^43 - 32 * q^50 + 112 * q^53 - 152 * q^57 + 16 * q^58 + 8 * q^60 - 100 * q^63 - 8 * q^65 - 16 * q^67 - 56 * q^70 - 8 * q^72 - 144 * q^77 + 40 * q^78 + 40 * q^81 - 60 * q^84 + 48 * q^85 - 16 * q^88 + 8 * q^92 + 56 * q^93 - 104 * q^95 - 32 * q^98

Introduction

L-functions

Modular forms

Varieties

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Database

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