LMFDB - Embedded newform 350.2.r.a.27.16

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			27.16
Character	$\chi$	$=$	350.27
Dual form			350.2.r.a.13.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.987688 + 0.156434i) q^{2} +(0.435431 - 0.221863i) q^{3} +(0.951057 + 0.309017i) q^{4} +(1.65984 - 1.49831i) q^{5} +(0.464777 - 0.151015i) q^{6} +(0.557723 + 2.58630i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-1.62298 + 2.23384i) q^{9} +O(q^{10})$	\(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} +(0.557723 + 2.58630i) 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} +(0.146270 + 2.64170i) 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} +(0.816654 + 1.00242i) 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} +(-0.268784 + 2.63206i) 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} +(4.80081 + 3.45719i) 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} +(0.649788 + 1.11783i) 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} +(-0.677220 + 2.55761i) 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} +(-6.68255 - 2.95165i) 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} +(4.20088 + 4.16564i) 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} +(2.79270 + 2.49967i) 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} +(0.466921 + 1.20572i) 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} +(6.94012 - 2.68761i) 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} +(-6.75066 + 1.85164i) 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 $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

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

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	$-0.604944\pi$
$3$	0.435431	−	0.221863i	0.251396	−	0.128093i	0.575148	+	0.818049i	$0.304944\pi$
$4$	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
$7$	0.557723	+	2.58630i	0.210800	+	0.977529i
$7$	0.557723	+	2.58630i	0.210800	+	0.977529i
$8$	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	−0.401449	−	0.915881i	$-0.631493\pi$
$11$	1.14606	−	0.832664i	0.345551	−	0.251058i	0.747000	+	0.664824i	$0.231493\pi$
$12$	0.482679	−	0.0764488i	0.139337	−	0.0220689i
$13$	−0.440041	−	2.77831i	−0.122045	−	0.770565i	−0.970465	−	0.241241i	$-0.922446\pi$
$13$	−0.440041	−	2.77831i	−0.122045	−	0.770565i	0.848420	−	0.529324i	$-0.177554\pi$
$14$	0.146270	+	2.64170i	0.0390924	+	0.706025i
$15$	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	$-0.353092\pi$
$17$	−0.0713737	−	0.0363667i	−0.0173107	−	0.00882022i	−0.462624	+	0.886554i	$0.653092\pi$
$18$	−1.95245	+	1.95245i	−0.460196	+	0.460196i
$19$	−0.973453	−	2.99598i	−0.223326	−	0.687325i	−0.998457	−	0.0555256i	$-0.982317\pi$
$19$	−0.973453	−	2.99598i	−0.223326	−	0.687325i	0.775132	−	0.631800i	$-0.217683\pi$
$20$	2.04160	−	0.912061i	0.456516	−	0.203943i
$21$	0.816654	+	1.00242i	0.178209	+	0.218745i
$22$	1.26221	−	0.643129i	0.269104	−	0.137115i
$23$	−0.0141886	+	0.0895832i	−0.00295853	+	0.0186794i	−0.989123	−	0.147088i	$-0.953010\pi$
$23$	−0.0141886	+	0.0895832i	−0.00295853	+	0.0186794i	0.986165	+	0.165767i	$0.0530100\pi$
$24$	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
$28$	−0.268784	+	2.63206i	−0.0507955	+	0.497413i
$29$	−0.959797	−	0.311857i	−0.178230	−	0.0579104i	0.218543	−	0.975827i	$-0.429870\pi$
$29$	−0.959797	−	0.311857i	−0.178230	−	0.0579104i	−0.396772	+	0.917917i	$0.629870\pi$
$30$	0.545187	−	0.947042i	0.0995370	−	0.172905i
$31$	−4.43807	+	1.44202i	−0.797101	+	0.258994i	−0.679125	−	0.734023i	$-0.737641\pi$
$31$	−4.43807	+	1.44202i	−0.797101	+	0.258994i	−0.117976	+	0.993016i	$0.537641\pi$
$32$	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
$35$	4.80081	+	3.45719i	0.811486	+	0.584372i
$36$	−2.23384	+	1.62298i	−0.372306	+	0.270496i
$37$	−0.503449	−	3.17865i	−0.0827665	−	0.522567i	−0.993885	−	0.110422i	$-0.964780\pi$
$37$	−0.503449	−	3.17865i	−0.0827665	−	0.522567i	0.911118	−	0.412145i	$-0.135220\pi$
$38$	−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	$-0.996075\pi$
$41$	−4.34902	+	5.98592i	−0.679203	+	0.934843i	0.320721	+	0.947174i	$0.396075\pi$
$42$	0.649788	+	1.11783i	0.100264	+	0.172485i
$43$	−2.78123	+	2.78123i	−0.424133	+	0.424133i	−0.886624	−	0.462491i	$-0.846956\pi$
$43$	−2.78123	+	2.78123i	−0.424133	+	0.424133i	0.462491	+	0.886624i	$0.346956\pi$
$44$	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	0.882990	+	0.469391i	$0.155527\pi$
$47$	5.09874	+	10.0068i	0.743727	+	1.45965i	−0.139263	+	0.990255i	$0.544473\pi$
$48$	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	−0.706743	−	0.707471i	$-0.749836\pi$
$53$	−6.28773	−	12.3404i	−0.863686	−	1.69508i	−0.156943	−	0.987608i	$-0.550164\pi$
$54$	−0.870025	+	2.67766i	−0.118395	+	0.364384i
$55$	0.654689	−	3.09925i	0.0882783	−	0.417903i
$56$	−0.677220	+	2.55761i	−0.0904974	+	0.341775i
$57$	−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	$-0.292049\pi$
$59$	0.310400	+	0.225519i	0.0404106	+	0.0293600i	−0.567397	+	0.823445i	$0.692049\pi$
$60$	0.686624	−	0.850096i	0.0886428	−	0.109747i
$61$	−4.18553	−	5.76089i	−0.535903	−	0.737607i	0.452113	−	0.891961i	$-0.350670\pi$
$61$	−4.18553	−	5.76089i	−0.535903	−	0.737607i	−0.988016	+	0.154354i	$0.950670\pi$
$62$	−4.60901	+	0.729996i	−0.585345	+	0.0927096i
$63$	−6.68255	−	2.95165i	−0.841922	−	0.371872i
$64$	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	−0.543521	−	0.839396i	$-0.682909\pi$
$67$	3.72465	−	7.31004i	0.455038	−	0.893063i	0.998559	−	0.0536672i	$-0.0170910\pi$
$68$	−0.0566425	−	0.0566425i	−0.00686891	−	0.00686891i
$69$	0.0136971	+	0.0421552i	0.00164893	+	0.00507489i
$70$	4.20088	+	4.16564i	0.502102	+	0.497890i
$71$	−2.89789	+	8.91880i	−0.343917	+	1.05847i	0.618244	+	0.785986i	$0.287844\pi$
$71$	−2.89789	+	8.91880i	−0.343917	+	1.05847i	−0.962161	+	0.272481i	$0.912156\pi$
$72$	−2.46023	+	1.25355i	−0.289940	+	0.147732i
$73$	−3.48321	−	0.551686i	−0.407679	−	0.0645700i	−0.0507727	−	0.998710i	$-0.516168\pi$
$73$	−3.48321	−	0.551686i	−0.407679	−	0.0645700i	−0.356906	+	0.934140i	$0.616168\pi$
$74$		−	3.21827i		−	0.374117i
$75$	−0.881404	−	2.27897i	−0.101776	−	0.263153i
$76$		−	3.15016i		−	0.361348i
$77$	2.79270	+	2.49967i	0.318258	+	0.284864i
$78$	−0.624088	−	1.22484i	−0.0706641	−	0.138686i
$79$	3.02619	+	0.983268i	0.340473	+	0.110626i	0.474263	−	0.880383i	$-0.342715\pi$
$79$	3.02619	+	0.983268i	0.340473	+	0.110626i	−0.133790	+	0.991010i	$0.542715\pi$
$80$	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	−0.326689	−	0.945132i	$-0.605933\pi$
$83$	5.73923	−	11.2639i	0.629962	−	1.23637i	0.956651	−	0.291238i	$-0.0940671\pi$
$84$	0.466921	+	1.20572i	0.0509452	+	0.131554i
$85$	−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	$-0.955726\pi$
$89$	−10.9860	+	7.98182i	−1.16452	+	0.846071i	−0.174174	+	0.984715i	$0.555726\pi$
$90$	−0.315370	+	6.16612i	−0.0332429	+	0.649966i
$91$	6.94012	−	2.68761i	0.727523	−	0.281738i
$92$	−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	0.951654	+	0.307174i	$0.0993832\pi$
$97$	6.31109	+	12.3862i	0.640794	+	1.25763i	−0.310859	+	0.950456i	$0.600617\pi$
$98$	−6.75066	+	1.85164i	−0.681920	+	0.187044i
$99$			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	$-0.558279\pi$
$103$	5.13953	−	2.61872i	0.506413	−	0.258030i	0.688479	+	0.725256i	$0.258279\pi$
$104$	0.869247	−	2.67527i	0.0852367	−	0.262332i
$105$	2.85745	+	0.440246i	0.278858	+	0.0429636i
$106$	−4.27986	−	13.1720i	−0.415696	−	1.27938i
$107$	6.87046	+	6.87046i	0.664193	+	0.664193i	0.956365	−	0.292173i	$-0.0943783\pi$
$107$	6.87046	+	6.87046i	0.664193	+	0.664193i	−0.292173	+	0.956365i	$0.594378\pi$
$108$	−1.27819	+	2.50859i	−0.122994	+	0.241390i
$109$	2.72286	−	3.74770i	0.260803	−	0.358965i	−0.658455	−	0.752620i	$-0.728790\pi$
$109$	2.72286	−	3.74770i	0.260803	−	0.358965i	0.919258	+	0.393656i	$0.128790\pi$
$110$	1.13146	−	2.95868i	0.107880	−	0.282099i
$111$	−0.924443	−	1.27239i	−0.0877442	−	0.120770i
$112$	−1.06898	+	2.42018i	−0.101009	+	0.228686i
$113$	−0.785835	+	0.124464i	−0.0739251	+	0.0117086i	−0.193287	−	0.981142i	$-0.561915\pi$
$113$	−0.785835	+	0.124464i	−0.0739251	+	0.0117086i	0.119362	+	0.992851i	$0.461915\pi$
$114$	−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
$119$	0.0542484	−	0.204876i	0.00497295	−	0.0187810i
$120$	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	0.874239	−	0.485496i	$-0.161361\pi$
$127$	17.5314	+	2.77671i	1.55566	+	0.246393i	0.681424	+	0.731888i	$0.261361\pi$
$128$	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	$-0.739463\pi$
$131$	−9.23628	+	3.00105i	−0.806978	+	0.262203i	−0.123660	+	0.992325i	$0.539463\pi$
$132$	0.489525	−	0.489525i	0.0426076	−	0.0426076i
$133$	7.20559	−	4.18857i	0.624804	−	0.363195i
$134$	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	−0.847581	−	0.530666i	$-0.821942\pi$
$137$	−2.40495	−	15.1842i	−0.205469	−	1.29728i	0.642112	−	0.766611i	$-0.278058\pi$
$138$	0.00693390	+	0.0437789i	0.000590253	+	0.00372671i
$139$	11.7336	−	8.52499i	0.995235	−	0.723080i	0.0341735	−	0.999416i	$-0.489120\pi$
$139$	11.7336	−	8.52499i	0.995235	−	0.723080i	0.961061	+	0.276336i	$0.0891201\pi$
$140$	3.49751	+	4.77152i	0.295594	+	0.403267i
$141$	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
$147$	−2.13708	+	2.67118i	−0.176264	+	0.220316i
$148$	0.503449	−	3.17865i	0.0413832	−	0.261284i
$149$			16.6368i			1.36294i	0.731845	+	0.681471i	$0.238660\pi$
$149$			16.6368i			1.36294i	−0.731845	+	0.681471i	$0.761340\pi$
$150$	−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
$154$	2.36729	+	2.90577i	0.190761	+	0.234153i
$155$	−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	$-0.538355\pi$
$157$	10.9329	−	10.9329i	0.872543	−	0.872543i	0.992749	+	0.120206i	$0.0383554\pi$
$158$	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
$161$	−0.239602	+	0.0132667i	−0.0188833	+	0.00104556i
$162$	−1.08059	−	6.82258i	−0.0848992	−	0.536033i
$163$	2.76262	−	0.437556i	0.216385	−	0.0342721i	−0.0473005	−	0.998881i	$-0.515062\pi$
$163$	2.76262	−	0.437556i	0.216385	−	0.0342721i	0.263686	+	0.964609i	$0.415062\pi$
$164$	−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	$-0.287436\pi$
$167$	4.49718	+	2.29143i	0.348002	+	0.177316i	−0.271248	+	0.962509i	$0.587436\pi$
$168$	0.272557	+	1.26391i	0.0210282	+	0.0975130i
$169$	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	$-0.166220\pi$
$173$	20.2147	+	3.20170i	1.53690	+	0.243421i	0.670172	+	0.742206i	$0.266220\pi$
$174$	−0.493187			−0.0373884
$175$	13.1485	−	1.45474i	0.993935	−	0.109968i
$176$	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	0.141727	−	0.989906i	$-0.454735\pi$
$179$	−4.35444	−	1.41484i	−0.325466	−	0.105750i	−0.467193	+	0.884155i	$0.654735\pi$
$180$	−1.27608	+	6.04087i	−0.0951134	+	0.450260i
$181$	−18.2139	+	5.91805i	−1.35383	+	0.439885i	−0.893978	−	0.448112i	$-0.852097\pi$
$181$	−18.2139	+	5.91805i	−1.35383	+	0.439885i	−0.459850	+	0.887997i	$0.652097\pi$
$182$	7.27511	−	1.56884i	0.539267	−	0.116290i
$183$	−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
$189$	−7.43762	+	0.411818i	−0.541007	+	0.0299554i
$190$	−5.47977	−	4.42602i	−0.397544	−	0.321097i
$191$	17.3913	+	12.6355i	1.25839	+	0.914272i	0.998677	−	0.0514149i	$-0.0163731\pi$
$191$	17.3913	+	12.6355i	1.25839	+	0.914272i	0.259710	+	0.965687i	$0.416373\pi$
$192$	0.435431	+	0.221863i	0.0314245	+	0.0160116i
$193$	15.3393	−	15.3393i	1.10415	−	1.10415i	0.110244	−	0.993905i	$-0.464837\pi$
$193$	15.3393	−	15.3393i	1.10415	−	1.10415i	0.993905	−	0.110244i	$-0.0351632\pi$
$194$	4.29576	+	13.2210i	0.308418	+	0.949212i
$195$	−3.00749	−	0.635306i	−0.215371	−	0.0454952i
$196$	−6.95721	+	0.772806i	−0.496944	+	0.0552004i
$197$	−14.2686	+	7.27019i	−1.01659	+	0.517980i	−0.881166	−	0.472807i	$-0.843241\pi$
$197$	−14.2686	+	7.27019i	−1.01659	+	0.517980i	−0.135427	+	0.990787i	$0.543241\pi$
$198$	−0.611896	+	3.86336i	−0.0434856	+	0.274557i
$199$	4.78181			0.338973			0.169487	−	0.985532i	$-0.445789\pi$
$199$	4.78181			0.338973			0.169487	+	0.985532i	$0.445789\pi$
$200$	2.71263	−	4.20020i	0.191812	−	0.296999i
$201$		−	4.00938i		−	0.282800i
$202$	−0.183352	+	1.15764i	−0.0129006	+	0.0814510i
$203$	0.271254	−	2.65625i	0.0190383	−	0.186432i
$204$	−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
$210$	2.75340	+	0.881829i	0.190002	+	0.0608520i
$211$	−2.58980	+	1.88160i	−0.178289	+	0.129535i	−0.673351	−	0.739323i	$-0.735146\pi$
$211$	−2.58980	+	1.88160i	−0.178289	+	0.129535i	0.495061	+	0.868858i	$0.335146\pi$
$212$	−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
$217$	−6.20470	−	10.6739i	−0.421203	−	0.724594i
$218$	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	$-0.255080\pi$
$223$	16.9558	+	2.68554i	1.13545	+	0.179837i	0.439714	+	0.898138i	$0.355080\pi$
$224$	−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	−0.386075	−	0.922467i	$-0.626169\pi$
$227$	4.01014	−	25.3190i	0.266162	−	1.68048i	0.652237	−	0.758015i	$-0.273831\pi$
$228$	−0.698905	−	1.37168i	−0.0462861	−	0.0908416i
$229$	3.76573	−	11.5897i	0.248846	−	0.765870i	−0.746134	−	0.665796i	$-0.768092\pi$
$229$	3.76573	−	11.5897i	0.248846	−	0.765870i	0.994980	−	0.100074i	$-0.0319080\pi$
$230$	0.0827239	+	0.185173i	0.00545465	+	0.0122100i
$231$	1.77061	+	0.468835i	0.116498	+	0.0308470i
$232$	−0.713605	−	0.713605i	−0.0468505	−	0.0468505i
$233$	2.38031	+	1.21283i	0.155939	+	0.0794551i	0.530219	−	0.847861i	$-0.322110\pi$
$233$	2.38031	+	1.21283i	0.155939	+	0.0794551i	−0.374279	+	0.927316i	$0.622110\pi$
$234$	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
$238$	0.0856303	−	0.193868i	0.00555059	−	0.0125666i
$239$	2.51230	+	3.45789i	0.162507	+	0.223672i	0.882503	−	0.470306i	$-0.155856\pi$
$239$	2.51230	+	3.45789i	0.162507	+	0.223672i	−0.719996	+	0.693978i	$0.755856\pi$
$240$	0.915713	−	0.596311i	0.0591090	−	0.0384917i
$241$	14.0605	−	19.3526i	0.905713	−	1.24661i	−0.0628959	−	0.998020i	$-0.520034\pi$
$241$	14.0605	−	19.3526i	0.905713	−	1.24661i	0.968609	−	0.248588i	$-0.0799664\pi$
$242$	−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
$245$	−6.26381	+	14.3445i	−0.400180	+	0.916436i
$246$	−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	$0.616105\pi$
$252$	−5.44337	−	4.87220i	−0.342900	−	0.306920i
$253$	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	$-0.634017\pi$
$257$	8.07929	−	8.07929i	0.503972	−	0.503972i	0.912670	+	0.408698i	$0.134017\pi$
$258$	−0.872643	+	1.71266i	−0.0543284	+	0.106625i
$259$	7.94016	−	3.07488i	0.493377	−	0.191064i
$260$	−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	−0.535328	−	0.844644i	$-0.679812\pi$
$263$	−12.7054	+	2.01233i	−0.783446	+	0.124086i	−0.248118	+	0.968730i	$0.579812\pi$
$264$	0.560076	−	0.406919i	0.0344703	−	0.0250441i
$265$	−28.9263	−	11.0620i	−1.77693	−	0.679534i
$266$	7.77211	−	3.00980i	0.476539	−	0.184543i
$267$	−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	$-0.102131\pi$
$269$	−0.0678666	−	0.208872i	−0.00413790	−	0.0127351i	−0.953104	+	0.302642i	$0.902131\pi$
$270$	2.56787	+	5.74806i	0.156276	+	0.349816i
$271$	−11.0547	−	3.59190i	−0.671526	−	0.218192i	−0.0466447	−	0.998912i	$-0.514853\pi$
$271$	−11.0547	−	3.59190i	−0.671526	−	0.218192i	−0.624882	+	0.780719i	$0.714853\pi$
$272$	−0.0363667	−	0.0713737i	−0.00220506	−	0.00432767i
$273$	2.42566	−	2.71002i	0.146808	−	0.164018i
$274$		−	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	0.294363	−	0.955694i	$-0.404893\pi$
$277$	4.64337	+	0.735438i	0.278993	+	0.0441882i	−0.0153698	+	0.999882i	$0.504893\pi$
$278$	12.9228	−	6.58449i	0.775057	−	0.394911i
$279$	3.98166	−	12.2543i	0.238376	−	0.733646i
$280$	2.70802	+	5.25991i	0.161835	+	0.314340i
$281$	−10.0070	−	30.7984i	−0.596968	−	1.83728i	−0.544674	−	0.838648i	$-0.683347\pi$
$281$	−10.0070	−	30.7984i	−0.596968	−	1.83728i	−0.0522945	−	0.998632i	$-0.516653\pi$
$282$	3.88096	+	3.88096i	0.231108	+	0.231108i
$283$	−9.63172	+	18.9033i	−0.572546	+	1.12369i	0.405265	+	0.914199i	$0.367179\pi$
$283$	−9.63172	+	18.9033i	−0.572546	+	1.12369i	−0.977812	+	0.209486i	$0.932821\pi$
$284$	−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
$287$	−17.9069	−	7.90939i	−1.05701	−	0.466877i
$288$	−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	$-0.0382169\pi$
$293$	14.9438	+	14.9438i	0.873027	+	0.873027i	−0.119774	+	0.992801i	$0.538217\pi$
$294$	−2.52864	+	2.30398i	−0.147473	+	0.134371i
$295$	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	$-0.968913\pi$
$307$	−15.7294	+	15.7294i	−0.897727	+	0.897727i	0.0975080	+	0.995235i	$0.468913\pi$
$308$	1.88358	+	3.24032i	0.107327	+	0.184634i
$309$	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	0.839962	+	0.542645i	$0.182577\pi$
$311$	19.3367	+	26.6147i	1.09649	+	1.50918i	0.256524	+	0.966538i	$0.417423\pi$
$312$	−0.215046	−	1.35775i	−0.0121746	−	0.0768674i
$313$	2.19999	+	13.8902i	0.124351	+	0.785120i	0.968500	+	0.249012i	$0.0801059\pi$
$313$	2.19999	+	13.8902i	0.124351	+	0.785120i	−0.844150	+	0.536108i	$0.819894\pi$
$314$	12.5086	−	9.08805i	0.705902	−	0.512868i
$315$	−15.5144	+	5.11329i	−0.874139	+	0.288101i
$316$	2.57423	+	1.87029i	0.144812	+	0.105212i
$317$	−3.42977	+	6.73131i	−0.192635	+	0.378068i	−0.967041	−	0.254622i	$-0.918049\pi$
$317$	−3.42977	+	6.73131i	−0.192635	+	0.378068i	0.774406	+	0.632690i	$0.218049\pi$
$318$	−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
$322$	−0.238728	−	0.0243787i	−0.0133038	−	0.00135857i
$323$	−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
$329$	−23.0370	+	18.7679i	−1.27007	+	1.03471i
$330$	−0.163749	−	1.53933i	−0.00901410	−	0.0847372i
$331$	−6.38144	−	19.6401i	−0.350756	−	1.07952i	−0.958430	−	0.285329i	$-0.907897\pi$
$331$	−6.38144	−	19.6401i	−0.350756	−	1.07952i	0.607674	−	0.794187i	$-0.292103\pi$
$332$	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
$336$	0.0714816	+	1.29099i	0.00389964	+	0.0704293i
$337$	−3.00717	−	18.9865i	−0.163811	−	1.03426i	−0.923395	−	0.383852i	$-0.874597\pi$
$337$	−3.00717	−	18.9865i	−0.163811	−	1.03426i	0.759584	−	0.650409i	$-0.225403\pi$
$338$	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
$343$	−11.0183	−	14.8862i	−0.594930	−	0.803778i
$344$	−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	−0.976612	−	0.215011i	$-0.931021\pi$
$347$	−25.6451	+	13.0668i	−1.37670	+	0.701465i	−0.400091	+	0.916476i	$0.631021\pi$
$348$	−0.487115	−	0.0771514i	−0.0261121	−	0.00413575i
$349$	22.8551			1.22341			0.611704	−	0.791087i	$-0.290485\pi$
$349$	22.8551			1.22341			0.611704	+	0.791087i	$0.290485\pi$
$350$	13.2142	+	0.620056i	0.706330	+	0.0331434i
$351$	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	$-0.991052\pi$
$353$	−29.3928	+	14.9764i	−1.56442	+	0.797111i	−0.564814	+	0.825218i	$0.691052\pi$
$354$	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
$357$	−0.0218330	−	0.101245i	−0.00115553	−	0.00535847i
$358$	−4.07950	−	2.07861i	−0.215608	−	0.109858i
$359$	−7.24074	+	9.96602i	−0.382151	+	0.525986i	−0.956153	−	0.292868i	$-0.905390\pi$
$359$	−7.24074	+	9.96602i	−0.382151	+	0.525986i	0.574001	+	0.818854i	$0.305390\pi$
$360$	−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
$364$	7.43096	−	0.411450i	0.389488	−	0.0215658i
$365$	−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	$-0.560531\pi$
$367$	−20.9687	−	10.6841i	−1.09456	−	0.557705i	−0.905536	+	0.424268i	$0.860531\pi$
$368$	−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
$371$	28.4090	−	23.1444i	1.47492	−	1.20160i
$372$	−2.03192	+	1.03532i	−0.105350	+	0.0536787i
$373$	−0.294374	+	1.85861i	−0.0152421	+	0.0962350i	−0.994137	−	0.108131i	$-0.965513\pi$
$373$	−0.294374	+	1.85861i	−0.0152421	+	0.0962350i	0.978895	+	0.204366i	$0.0655133\pi$
$374$	−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
$378$	−7.41047	−	0.756752i	−0.381154	−	0.0389231i
$379$	−32.1320	−	10.4403i	−1.65051	−	0.536284i	−0.671661	−	0.740859i	$-0.734419\pi$
$379$	−32.1320	−	10.4403i	−1.65051	−	0.536284i	−0.978851	+	0.204575i	$0.934419\pi$
$380$	−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	$-0.952712\pi$
$383$	−5.63488	+	11.0591i	−0.287929	+	0.565092i	0.701057	+	0.713106i	$0.252712\pi$
$384$	0.395363	+	0.287248i	0.0201758	+	0.0146586i
$385$	8.38072	−	0.0353005i	0.427121	−	0.00179908i
$386$	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	0.711891	−	0.702290i	$-0.247839\pi$
$389$	−3.47153	−	4.77815i	−0.176013	−	0.242262i	−0.887904	+	0.460029i	$0.847839\pi$
$390$	−2.87108	−	1.09796i	−0.145383	−	0.0555974i
$391$	0.00427054	−	0.00587789i	0.000215970	−	0.000297258i
$392$	−6.99245	−	0.325056i	−0.353172	−	0.0164178i
$393$	−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	$-0.0474761\pi$
$397$	5.72680	+	11.2395i	0.287420	+	0.564093i	−0.701478	+	0.712691i	$0.747476\pi$
$398$	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
$406$	0.683444	−	2.58112i	0.0339188	−	0.128099i
$407$	−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	$-0.233362\pi$
$409$	6.80060	+	4.94092i	0.336268	+	0.244313i	−0.406818	+	0.913509i	$0.633362\pi$
$410$	−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
$413$	−0.410142	+	0.928564i	−0.0201818	+	0.0456917i
$414$	−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	−0.684429	−	0.729080i	$-0.739948\pi$
$419$	−11.4477	−	35.2324i	−0.559257	−	1.72121i	0.125172	−	0.992135i	$-0.460052\pi$
$420$	2.58155	+	1.30170i	0.125967	+	0.0635164i
$421$	−8.36013	+	25.7298i	−0.407448	+	1.25400i	0.511386	+	0.859351i	$0.329132\pi$
$421$	−8.36013	+	25.7298i	−0.407448	+	1.25400i	−0.918834	+	0.394644i	$0.870868\pi$
$422$	−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
$427$	12.5650	−	14.0380i	0.608064	−	0.679348i
$428$	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	0.971185	−	0.238327i	$-0.0765990\pi$
$431$	0.942418	+	2.90046i	0.0453947	+	0.139710i	−0.925790	+	0.378038i	$0.876599\pi$
$432$	−1.99083	+	1.99083i	−0.0957839	+	0.0957839i
$433$	−0.640747	+	1.25754i	−0.0307923	+	0.0604333i	−0.905890	−	0.423513i	$-0.860797\pi$
$433$	−0.640747	+	1.25754i	−0.0307923	+	0.0604333i	0.875098	+	0.483946i	$0.160797\pi$
$434$	−4.45854	−	11.5131i	−0.214017	−	0.552649i
$435$	−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	0.338325	−	0.941029i	$-0.390140\pi$
$439$	28.0310	−	20.3657i	1.33785	−	0.972002i	0.999520	−	0.0309725i	$-0.00986043\pi$
$440$	1.99036	−	2.46423i	0.0948868	−	0.117477i
$441$	3.90683	−	18.9293i	0.186039	−	0.901394i
$442$	−0.102297	+	0.200770i	−0.00486579	+	0.00954966i
$443$	−1.91633	+	1.91633i	−0.0910477	+	0.0910477i	−0.751164	−	0.660116i	$-0.770507\pi$
$443$	−1.91633	+	1.91633i	−0.0910477	+	0.0910477i	0.660116	+	0.751164i	$0.270507\pi$
$444$	−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
$448$	−1.76454	+	1.97140i	−0.0833666	+	0.0931397i
$449$			23.6299i			1.11516i	0.830122	+	0.557582i	$0.188271\pi$
$449$			23.6299i			1.11516i	−0.830122	+	0.557582i	$0.811729\pi$
$450$	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
$455$	7.49260	−	14.8595i	0.351259	−	0.696622i
$456$	−0.475722	−	1.46412i	−0.0222777	−	0.0685638i
$457$	−0.0639068	−	0.0639068i	−0.00298943	−	0.00298943i	0.705610	−	0.708600i	$-0.250673\pi$
$457$	−0.0639068	−	0.0639068i	−0.00298943	−	0.00298943i	−0.708600	+	0.705610i	$0.750673\pi$
$458$	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	$-0.0924763\pi$
$461$	8.36493	+	11.5133i	0.389594	+	0.536230i	−0.568501	+	0.822683i	$0.692476\pi$
$462$	1.67547	+	0.740048i	0.0779501	+	0.0344301i
$463$	7.03643	−	1.11446i	0.327011	−	0.0517934i	0.00922937	−	0.999957i	$-0.497062\pi$
$463$	7.03643	−	1.11446i	0.327011	−	0.0517934i	0.317781	+	0.948164i	$0.397062\pi$
$464$	−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	$-0.415572\pi$
$467$	−7.87699	−	4.01353i	−0.364504	−	0.185724i	−0.626644	+	0.779306i	$0.715572\pi$
$468$	5.49212	+	5.49212i	0.253873	+	0.253873i
$469$	20.9833	+	5.55608i	0.968917	+	0.256556i
$470$	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	$-0.997823\pi$
$479$	−4.09177	+	12.5932i	−0.186958	+	0.575397i	0.813019	+	0.582238i	$0.197823\pi$
$480$	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
$483$	−0.101387	+	0.0589357i	−0.00461326	+	0.00268167i
$484$	−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	0.881679	+	0.471849i	$0.156413\pi$
$487$	4.17003	+	26.3285i	0.188962	+	1.19306i	−0.692717	+	0.721209i	$0.743587\pi$
$488$	−1.11395	−	7.03318i	−0.0504260	−	0.318377i
$489$	1.10585	−	0.803450i	0.0500084	−	0.0363332i
$490$	−8.43067	+	13.1880i	−0.380859	+	0.595774i
$491$	18.8896	+	13.7241i	0.852473	+	0.619358i	0.925827	−	0.377948i	$-0.123370\pi$
$491$	18.8896	+	13.7241i	0.852473	+	0.619358i	−0.0733534	+	0.997306i	$0.523370\pi$
$492$	−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
$497$	−24.6829	−	2.52060i	−1.10718	−	0.113064i
$498$	0.966446	−	6.10190i	0.0433075	−	0.273433i
$499$		−	37.8964i		−	1.69647i	−0.529616	−	0.848237i	$-0.677664\pi$
$499$		−	37.8964i		−	1.69647i	0.529616	−	0.848237i	$-0.322336\pi$
$500$	−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	$-0.388062\pi$
$503$	29.3003	−	14.9292i	1.30644	−	0.665662i	0.961975	+	0.273139i	$0.0880619\pi$
$504$	−4.61418	−	5.66375i	−0.205532	−	0.252283i
$505$	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	$-0.346111\pi$
$509$	−5.26966	−	3.82863i	−0.233574	−	0.169701i	−0.698415	+	0.715693i	$0.746111\pi$
$510$	−0.0733528	+	0.0477672i	−0.00324812	+	0.00211517i
$511$	−0.515841	−	9.31631i	−0.0228195	−	0.412129i
$512$	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
$518$	8.32342	−	1.79491i	0.365710	−	0.0788636i
$519$	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	$-0.279930\pi$
$521$	15.9916	+	5.19599i	0.700605	+	0.227640i	0.0630108	+	0.998013i	$0.479930\pi$
$522$	2.48284	−	1.26507i	0.108671	−	0.0553705i
$523$	−15.0864	−	2.38945i	−0.659682	−	0.104483i	−0.182387	−	0.983227i	$-0.558383\pi$
$523$	−15.0864	−	2.38945i	−0.659682	−	0.104483i	−0.477295	+	0.878743i	$0.658383\pi$
$524$	−9.71160			−0.424253
$525$	5.40252	−	3.55061i	0.235785	−	0.154961i
$526$	−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
$532$	8.14726	−	1.75692i	0.353229	−	0.0761720i
$533$	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
$539$	−4.90733	+	8.61689i	−0.211374	+	0.371156i
$540$	1.63707	+	6.07899i	0.0704481	+	0.261598i
$541$	5.34831	+	3.88577i	0.229942	+	0.167062i	0.696790	−	0.717275i	$-0.254611\pi$
$541$	5.34831	+	3.88577i	0.229942	+	0.167062i	−0.466849	+	0.884337i	$0.654611\pi$
$542$	−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
$546$	2.81974	−	2.29720i	0.120674	−	0.0983112i
$547$	−32.3445	+	16.4803i	−1.38295	+	0.704648i	−0.977788	−	0.209598i	$-0.932785\pi$
$547$	−32.3445	+	16.4803i	−1.38295	+	0.704648i	−0.405161	+	0.914245i	$0.632785\pi$
$548$	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
$553$	−0.855250	+	8.37502i	−0.0363689	+	0.356142i
$554$	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	0.897432	−	0.441152i	$-0.145430\pi$
$557$	10.7686	+	10.7686i	0.456280	+	0.456280i	−0.441152	+	0.897432i	$0.645430\pi$
$558$	5.84964	−	11.4806i	0.247635	−	0.486011i
$559$	8.95096	+	6.50326i	0.378585	+	0.275058i
$560$	1.85185	+	5.61878i	0.0782550	+	0.237437i
$561$	−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	−0.978510	−	0.206198i	$-0.933891\pi$
$563$	−2.64825	−	16.7204i	−0.111610	−	0.704681i	0.866900	−	0.498483i	$-0.166109\pi$
$564$	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
$567$	15.8003	−	9.18463i	0.663550	−	0.385718i
$568$	−6.63109	+	6.63109i	−0.278234	+	0.278234i
$569$	28.7228	−	9.33262i	1.20412	−	0.391244i	0.362848	−	0.931848i	$-0.381805\pi$
$569$	28.7228	−	9.33262i	1.20412	−	0.391244i	0.841277	+	0.540605i	$0.181805\pi$
$570$	−3.36803	−	0.711468i	−0.141071	−	0.0298001i
$571$	−7.92097	+	24.3782i	−0.331482	+	1.02020i	0.636946	+	0.770908i	$0.280197\pi$
$571$	−7.92097	+	24.3782i	−0.331482	+	1.02020i	−0.968429	+	0.249290i	$0.919803\pi$
$572$	−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	−0.554464	−	0.832207i	$-0.687077\pi$
$577$	5.52548	−	34.8865i	0.230029	−	1.45234i	0.784493	−	0.620137i	$-0.212923\pi$
$578$	−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
$581$	32.3326	+	8.56124i	1.34138	+	0.355180i
$582$	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	$-0.923907\pi$
$587$	−44.1534	+	6.99321i	−1.82240	+	0.288641i	−0.850842	+	0.525422i	$0.823907\pi$
$588$	−2.85793	+	1.88005i	−0.117859	+	0.0775320i
$589$	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	$-0.130622\pi$
$593$	12.6150	+	12.6150i	0.518038	+	0.518038i	−0.398940	+	0.916977i	$0.630622\pi$
$594$	1.23249	+	3.79321i	0.0505696	+	0.155637i
$595$	−0.216925	−	0.421342i	−0.00889306	−	0.0172734i
$596$	−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	$0.325961\pi$
$599$			41.8129i			1.70843i	−0.519921	+	0.854214i	$0.674039\pi$
$600$	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	$-0.105664\pi$
$602$	−7.75399	−	6.94037i	−0.316029	−	0.282868i
$603$	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	$-0.809012\pi$
$607$	−6.42252	+	6.42252i	−0.260682	+	0.260682i	0.564649	+	0.825331i	$0.309012\pi$
$608$	1.43014	−	2.80681i	0.0580000	−	0.113831i
$609$	−0.471212	−	1.21680i	−0.0190945	−	0.0493070i
$610$	−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	−0.0401620	−	0.999193i	$-0.512787\pi$
$613$	5.70466	−	0.903530i	0.230409	−	0.0364932i	0.270571	+	0.962700i	$0.412787\pi$
$614$	−17.9964	+	13.0752i	−0.726276	+	0.527671i
$615$	4.41210	+	6.77536i	0.177913	+	0.273209i
$616$	1.35349	+	3.49508i	0.0545338	+	0.140821i
$617$	−8.04968	+	15.7984i	−0.324068	+	0.636019i	−0.994358	−	0.106081i	$-0.966170\pi$
$617$	−8.04968	+	15.7984i	−0.324068	+	0.636019i	0.670290	+	0.742100i	$0.266170\pi$
$618$	1.99327	−	1.99327i	0.0801811	−	0.0801811i
$619$	5.99359	+	18.4464i	0.240903	+	0.741423i	0.996283	+	0.0861363i	$0.0274521\pi$
$619$	5.99359	+	18.4464i	0.240903	+	0.741423i	−0.755381	+	0.655286i	$0.772548\pi$
$620$	−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
$623$	−26.7705	−	23.9615i	−1.07254	−	0.959998i
$624$		−	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
$630$	−16.1233	+	2.62335i	−0.642368	+	0.104517i
$631$	−0.608994	−	1.87429i	−0.0242437	−	0.0746143i	0.938203	−	0.346086i	$-0.112490\pi$
$631$	−0.608994	−	1.87429i	−0.0242437	−	0.0746143i	−0.962446	+	0.271472i	$0.912490\pi$
$632$	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
$637$	10.8216	+	16.4503i	0.428768	+	0.651784i
$638$	−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	0.0929531	−	0.995670i	$-0.470369\pi$
$641$	−20.8940	−	15.1803i	−0.825262	−	0.599588i	−0.918215	+	0.396083i	$0.870369\pi$
$642$	4.23078	+	2.15569i	0.166975	+	0.0850782i
$643$	10.8941	+	10.8941i	0.429623	+	0.429623i	0.888500	−	0.458877i	$-0.151748\pi$
$643$	10.8941	+	10.8941i	0.429623	+	0.429623i	−0.458877	+	0.888500i	$0.651748\pi$
$644$	−0.231975	−	0.0614238i	−0.00914110	−	0.00242044i
$645$	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	−0.971877	−	0.235490i	$-0.924331\pi$
$647$	−15.0363	−	29.5104i	−0.591137	−	1.16017i	0.380740	−	0.924682i	$-0.375669\pi$
$648$	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	0.809873	−	0.586605i	$-0.199536\pi$
$653$	−3.59623	−	7.05800i	−0.140731	−	0.276201i	−0.950605	+	0.310404i	$0.899536\pi$
$654$	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
$658$	−25.6893	+	14.9331i	−1.00147	+	0.582151i
$659$	9.50361	−	13.0806i	0.370208	−	0.509548i	−0.582749	−	0.812652i	$-0.698023\pi$
$659$	9.50361	−	13.0806i	0.370208	−	0.509548i	0.952957	+	0.303104i	$0.0980231\pi$
$660$	0.0790707	−	1.54599i	0.00307782	−	0.0601777i
$661$	−25.8259	−	35.5462i	−1.00451	−	1.38259i	−0.922517	−	0.385955i	$-0.873872\pi$
$661$	−25.8259	−	35.5462i	−1.00451	−	1.38259i	−0.0819919	−	0.996633i	$-0.526128\pi$
$662$	−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
$665$	5.68432	−	17.7486i	0.220428	−	0.688260i
$666$	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
$672$	−0.131354	+	1.28628i	−0.00506708	+	0.0496192i
$673$	0.437558	−	2.76263i	0.0168666	−	0.106492i	−0.977819	−	0.209453i	$-0.932832\pi$
$673$	0.437558	−	2.76263i	0.0168666	−	0.106492i	0.994685	+	0.102961i	$0.0328317\pi$
$674$		−	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	−0.826586	−	0.562811i	$-0.809720\pi$
$677$	3.47258	−	21.9250i	0.133462	−	0.842647i	0.960048	−	0.279836i	$-0.0902801\pi$
$678$	−0.346442	+	0.176521i	−0.0133050	+	0.00677925i
$679$	−28.5146	+	23.2304i	−1.09429	+	0.891503i
$680$	−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	0.435068	−	0.900398i	$-0.356724\pi$
$683$	−0.983760	−	0.501251i	−0.0376425	−	0.0191798i	−0.472710	+	0.881218i	$0.656724\pi$
$684$	7.03695	+	5.11265i	0.269065	+	0.195487i
$685$	−26.7426	−	21.6000i	−1.02178	−	0.825294i
$686$	−8.55389	−	16.4265i	−0.326589	−	0.627168i
$687$	−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	$-0.872907\pi$
$691$	−7.01623	+	9.65702i	−0.266910	+	0.367370i	0.654433	+	0.756120i	$0.272907\pi$
$692$	18.2360	+	9.29169i	0.693228	+	0.353217i
$693$	−10.1164	+	2.18154i	−0.384289	+	0.0828700i
$694$	−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
$700$	12.9545	+	2.67958i	0.489635	+	0.101279i
$701$	−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
$707$	−3.03132	+	0.653689i	−0.114004	+	0.0245845i
$708$	0.167064	+	0.0851234i	0.00627865	+	0.00319913i
$709$	−20.8015	+	28.6308i	−0.781216	+	1.07525i	0.213930	+	0.976849i	$0.431373\pi$
$709$	−20.8015	+	28.6308i	−0.781216	+	1.07525i	−0.995147	+	0.0984030i	$0.968627\pi$
$710$	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
$714$	−0.00572601	−	0.103414i	−0.000214290	−	0.00387018i
$715$	−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	−0.945113	−	0.326743i	$-0.894049\pi$
$719$	−9.98976	−	30.7453i	−0.372555	−	1.14661i	0.572558	−	0.819864i	$-0.305951\pi$
$720$	−3.08036	+	5.35088i	−0.114798	+	0.199415i
$721$	9.63923	+	11.8318i	0.358984	+	0.440641i
$722$	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	0.711946	+	0.702235i	$0.247814\pi$
$727$	−4.91150	+	31.0100i	−0.182157	+	1.15010i	−0.894103	+	0.447862i	$0.852186\pi$
$728$	7.40384	+	0.756075i	0.274405	+	0.0280220i
$729$	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	$-0.923410\pi$
$733$	−5.61927	+	11.0284i	−0.207552	+	0.407345i	0.763640	+	0.645643i	$0.223410\pi$
$734$	−19.0392	−	13.8328i	−0.702749	−	0.510577i
$735$	0.455057	+	7.63575i	0.0167850	+	0.281649i
$736$	−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	0.574794	−	0.818298i	$-0.305082\pi$
$739$	−10.3594	−	14.2584i	−0.381075	−	0.524505i	−0.955869	+	0.293793i	$0.905082\pi$
$740$	−3.92697	−	6.03037i	−0.144358	−	0.221681i
$741$	−2.54537	+	3.50340i	−0.0935065	+	0.128701i
$742$	31.6799	−	18.4153i	1.16300	−	0.676049i
$743$	4.33031	−	4.33031i	0.158864	−	0.158864i	−0.623199	−	0.782063i	$-0.714168\pi$
$743$	4.33031	−	4.33031i	0.158864	−	0.158864i	0.782063	+	0.623199i	$0.214168\pi$
$744$	−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
$756$	−7.20085	−	1.90669i	−0.261893	−	0.0693456i
$757$	−32.7549	−	32.7549i	−1.19050	−	1.19050i	−0.976927	−	0.213571i	$-0.931490\pi$
$757$	−32.7549	−	32.7549i	−1.19050	−	1.19050i	−0.213571	−	0.976927i	$-0.568510\pi$
$758$	−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	$-0.398907\pi$
$761$	−18.9714	−	26.1120i	−0.687715	−	0.946558i	−0.999994	+	0.00343242i	$0.998907\pi$
$762$	8.56754	−	1.35696i	0.310369	−	0.0491576i
$763$	11.2113	+	4.95196i	0.405876	+	0.179273i
$764$	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	0.943529	+	0.331291i	$0.107484\pi$
$769$	10.3970	+	31.9987i	0.374926	+	1.15390i	−0.568603	+	0.822612i	$0.692516\pi$
$770$	8.28306	+	1.27617i	0.298501	+	0.0459899i
$771$	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	$-0.353490\pi$
$773$	16.3978	+	2.59716i	0.589788	+	0.0934133i	0.145595	+	0.989344i	$0.453490\pi$
$774$		−	10.8604i		−	0.390369i
$775$	4.90850	+	22.8102i	0.176319	+	0.819365i
$776$			13.9014i			0.499030i
$777$	2.77519	−	3.10053i	0.0995593	−	0.111231i
$778$	−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
$784$	−6.85551	−	1.41491i	−0.244840	−	0.0505326i
$785$	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	$-0.552996\pi$
$787$	−0.521497	+	0.0825970i	−0.0185893	+	0.00294426i	0.147133	+	0.989117i	$0.452996\pi$
$788$	−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
$791$	−0.760179	−	1.96299i	−0.0270289	−	0.0697958i
$792$	−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	0.998768	+	0.0496217i	$0.0158016\pi$
$797$	12.7563	+	25.0357i	0.451852	+	0.886809i	−0.546916	+	0.837187i	$0.684198\pi$
$798$	2.71645	−	3.03491i	0.0961614	−	0.107434i
$799$		−	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
$805$	−0.377823	+	0.381020i	−0.0133165	+	0.0134292i
$806$	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	−0.770712	−	0.637184i	$-0.780099\pi$
$809$	2.08910	−	2.87540i	0.0734488	−	0.101094i	0.844161	+	0.536090i	$0.180099\pi$
$810$	−12.0160	−	9.70532i	−0.422198	−	0.341010i
$811$	−14.2195	−	19.5714i	−0.499313	−	0.687245i	0.482759	−	0.875753i	$-0.339635\pi$
$811$	−14.2195	−	19.5714i	−0.499313	−	0.687245i	−0.982072	+	0.188508i	$0.939635\pi$
$812$	1.07881	−	2.44242i	0.0378586	−	0.0857123i
$813$	−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
$819$	−5.25999	+	19.8650i	−0.183799	+	0.694141i
$820$	−3.41945	+	16.1874i	−0.119413	+	0.565290i
$821$	−4.04505	+	12.4494i	−0.141173	+	0.434487i	−0.996499	−	0.0836038i	$-0.973357\pi$
$821$	−4.04505	+	12.4494i	−0.141173	+	0.434487i	0.855326	+	0.518091i	$0.173357\pi$
$822$	−3.41082	−	6.69410i	−0.118966	−	0.233484i
$823$	−2.86534	+	18.0911i	−0.0998796	+	0.630615i	0.886067	+	0.463557i	$0.153427\pi$
$823$	−2.86534	+	18.0911i	−0.0998796	+	0.630615i	−0.985947	+	0.167059i	$0.946573\pi$
$824$	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	0.860192	−	0.509970i	$-0.170343\pi$
$827$	43.7315	+	6.92639i	1.52069	+	0.240854i	0.660502	+	0.750824i	$0.270343\pi$
$828$	−0.113697	−	0.223142i	−0.00395123	−	0.00775473i
$829$	−7.29937	+	22.4651i	−0.253517	+	0.780247i	0.740601	+	0.671945i	$0.234541\pi$
$829$	−7.29937	+	22.4651i	−0.253517	+	0.780247i	−0.994118	+	0.108301i	$0.965459\pi$
$830$	−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
$833$	0.560127	+	0.0260385i	0.0194073	+	0.000902180i
$834$	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	$-0.769148\pi$
$839$	−10.1014	+	7.33907i	−0.348738	+	0.253373i	0.399602	+	0.916689i	$0.369148\pi$
$840$	2.34614	+	1.68952i	0.0809494	+	0.0582938i
$841$	−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
$847$	−23.6707	−	2.41723i	−0.813335	−	0.0830571i
$848$	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	$-0.363300\pi$
$853$	40.7913	−	20.7842i	1.39667	−	0.711638i	0.980292	+	0.197555i	$0.0633000\pi$
$854$	14.6064	−	11.8996i	0.499819	−	0.407196i
$855$	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	$-0.734348\pi$
$857$	2.03499	−	2.03499i	0.0695140	−	0.0695140i	0.741009	+	0.671495i	$0.234348\pi$
$858$	−1.73513	−	0.884091i	−0.0592363	−	0.0301824i
$859$	7.28661	+	5.29403i	0.248616	+	0.180630i	0.705113	−	0.709095i	$-0.250896\pi$
$859$	7.28661	+	5.29403i	0.248616	+	0.180630i	−0.456497	+	0.889725i	$0.650896\pi$
$860$	−3.14151	+	8.21481i	−0.107125	+	0.280123i
$861$	−9.55203	+	0.528893i	−0.325532	+	0.0180246i
$862$	0.477083	+	3.01218i	0.0162495	+	0.102595i
$863$	19.5168	−	3.09116i	0.664360	−	0.105224i	0.184858	−	0.982765i	$-0.440817\pi$
$863$	19.5168	−	3.09116i	0.664360	−	0.105224i	0.479502	+	0.877541i	$0.340817\pi$
$864$	−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
$868$	−2.60259	−	12.0689i	−0.0883378	−	0.409644i
$869$	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
$875$	19.6448	−	22.1152i	0.664114	−	0.747631i
$876$	−1.72345			−0.0582299
$877$	−12.7400	−	2.01782i	−0.430200	−	0.0681370i	−0.0624204	−	0.998050i	$-0.519882\pi$
$877$	−12.7400	−	2.01782i	−0.430200	−	0.0681370i	−0.367780	+	0.929913i	$0.619882\pi$
$878$	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	$-0.598285\pi$
$881$	0.304161	−	0.0988278i	0.0102474	−	0.00332959i	0.314136	+	0.949378i	$0.398285\pi$
$882$	6.81992	−	18.0851i	0.229639	−	0.608956i
$883$	−50.1342	−	25.5447i	−1.68715	−	0.859646i	−0.989724	−	0.142990i	$-0.954328\pi$
$883$	−50.1342	−	25.5447i	−1.68715	−	0.859646i	−0.697427	−	0.716656i	$-0.745672\pi$
$884$	−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	$-0.425827\pi$
$887$	22.3727	−	3.54349i	0.751202	−	0.118979i	0.520283	+	0.853994i	$0.325827\pi$
$888$	−0.246033	−	1.55339i	−0.00825633	−	0.0521284i
$889$	2.59629	+	46.8902i	0.0870769	+	1.57265i
$890$	−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
$896$	−2.05121	+	1.67109i	−0.0685261	+	0.0558272i
$897$	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
$903$	−5.05925	−	0.516647i	−0.168361	−	0.0171929i
$904$	−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	0.942003	−	0.335604i	$-0.108941\pi$
$907$	18.2626	+	18.2626i	0.606399	+	0.606399i	−0.335604	+	0.942003i	$0.608941\pi$
$908$	11.6379	−	22.8406i	0.386217	−	0.757993i
$909$	−2.61821	−	1.90224i	−0.0868405	−	0.0630933i
$910$	9.72489	−	13.5044i	0.322377	−	0.447667i
$911$	31.2909	−	22.7342i	1.03671	−	0.753216i	0.0670720	−	0.997748i	$-0.478634\pi$
$911$	31.2909	−	22.7342i	1.03671	−	0.753216i	0.969641	+	0.244532i	$0.0786343\pi$
$912$	−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
$917$	−12.9129	−	22.2140i	−0.426422	−	0.733572i
$918$	0.159475	−	0.159475i	0.00526345	−	0.00526345i
$919$	25.9967	−	8.44683i	0.857551	−	0.278635i	0.152946	−	0.988235i	$-0.451124\pi$
$919$	25.9967	−	8.44683i	0.857551	−	0.278635i	0.704605	+	0.709599i	$0.251124\pi$
$920$	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	0.532000	+	0.846744i	$0.321440\pi$
$929$	−12.0730	+	37.1567i	−0.396101	+	1.21907i	−0.928101	+	0.372328i	$0.878560\pi$
$930$	−1.05393	+	4.98921i	−0.0345596	+	0.163603i
$931$	14.8516	+	16.2997i	0.486742	+	0.534203i
$932$	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	$-0.425871\pi$
$937$	22.9868	−	3.64075i	0.750946	−	0.118938i	0.520163	+	0.854067i	$0.325871\pi$
$938$	19.8558	+	8.77018i	0.648314	+	0.286357i
$939$	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	$-0.668108\pi$
$941$	14.5182	−	19.9826i	0.473279	−	0.651413i	0.977196	+	0.212339i	$0.0681082\pi$
$942$	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
$945$	−11.7282	+	11.8274i	−0.381519	+	0.384746i
$946$	−1.72181	+	5.29918i	−0.0559808	+	0.172291i
$947$	36.2510	−	18.4708i	1.17800	−	0.600221i	0.248352	−	0.968670i	$-0.420111\pi$
$947$	36.2510	−	18.4708i	1.17800	−	0.600221i	0.929648	+	0.368449i	$0.120111\pi$
$948$	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
$952$	0.141348	−	0.157918i	0.00458110	−	0.00511815i
$953$	−15.1120	−	29.6591i	−0.489527	−	0.960751i	−0.995185	−	0.0980170i	$-0.968750\pi$
$953$	−15.1120	−	29.6591i	−0.489527	−	0.960751i	0.505658	−	0.862734i	$-0.331250\pi$
$954$	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
$959$	37.9297	−	14.6885i	1.22481	−	0.474317i
$960$	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
$966$	−0.109358	+	0.0423497i	−0.00351854	+	0.00136258i
$967$	−2.71851	+	5.33538i	−0.0874214	+	0.171574i	−0.930578	−	0.366094i	$-0.880695\pi$
$967$	−2.71851	+	5.33538i	−0.0874214	+	0.171574i	0.843156	+	0.537668i	$0.180695\pi$
$968$	−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	$-0.612202\pi$
$971$	−36.6510	−	11.9086i	−1.17619	−	0.382166i	−0.830949	+	0.556349i	$0.812202\pi$
$972$	−5.36713	−	10.5336i	−0.172151	−	0.337865i
$973$	28.5923	+	25.5921i	0.916627	+	0.820446i
$974$			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	−0.337022	−	0.941497i	$-0.609420\pi$
$977$	−29.6469	−	4.69561i	−0.948488	−	0.150226i	−0.611466	+	0.791271i	$0.709420\pi$
$978$	1.21793	−	0.620564i	0.0389450	−	0.0198435i
$979$	−5.94452	+	18.2953i	−0.189988	+	0.584722i
$980$	−10.3899	+	11.7068i	−0.331894	+	0.373960i
$981$	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	$-0.723784\pi$
$983$	10.9946	−	21.5781i	0.350672	−	0.688233i	0.997210	+	0.0746490i	$0.0237836\pi$
$984$	−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
$987$	−5.86711	+	13.2832i	−0.186752	+	0.422808i
$988$	−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	0.479477	−	0.877554i	$-0.340826\pi$
$991$	−6.51512	−	4.73351i	−0.206960	−	0.150365i	−0.686437	+	0.727189i	$0.740826\pi$
$992$	−4.15785	−	2.11853i	−0.132012	−	0.0672634i
$993$	−7.13608	−	7.13608i	−0.226457	−	0.226457i
$994$	−23.9847	−	6.35083i	−0.760749	−	0.201436i
$995$	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	$-0.0172789\pi$
$997$	11.6107	+	22.7872i	0.367713	+	0.721677i	−0.630814	+	0.775934i	$0.717279\pi$
$998$	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.27.16	yes	160
7.6	odd	2	inner	350.2.r.a.27.15	yes	160
25.13	odd	20	inner	350.2.r.a.13.15	✓	160
175.13	even	20	inner	350.2.r.a.13.16	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.r.a.13.15	✓	160	25.13	odd	20	inner
350.2.r.a.13.16	yes	160	175.13	even	20	inner
350.2.r.a.27.15	yes	160	7.6	odd	2	inner
350.2.r.a.27.16	yes	160	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 $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(0.987688 + 0.156434i) q^{2} +(0.435431 - 0.221863i) q^{3} +(0.951057 + 0.309017i) q^{4} +(1.65984 - 1.49831i) q^{5} +(0.464777 - 0.151015i) q^{6} +(0.557723 + 2.58630i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-1.62298 + 2.23384i) q^{9} +O(q^{10})\)	\(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} +(0.557723 + 2.58630i) 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} +(0.146270 + 2.64170i) 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} +(0.816654 + 1.00242i) 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} +(-0.268784 + 2.63206i) 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} +(4.80081 + 3.45719i) 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} +(0.649788 + 1.11783i) 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} +(-0.677220 + 2.55761i) 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} +(-6.68255 - 2.95165i) 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} +(4.20088 + 4.16564i) 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} +(2.79270 + 2.49967i) 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} +(0.466921 + 1.20572i) 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} +(6.94012 - 2.68761i) 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} +(-6.75066 + 1.85164i) 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

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