LMFDB - Embedded newform 462.2.w.b.239.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(29,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 7]))

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

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

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.w (of order $10$, degree $4$, 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:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			239.3
Character	$\chi$	$=$	462.239
Dual form			462.2.w.b.29.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 - 0.587785i) q^{2} +(-1.35082 - 1.08410i) q^{3} +(0.309017 - 0.951057i) q^{4} +(1.96876 - 2.70976i) q^{5} +(-1.73006 - 0.0830614i) q^{6} +(0.951057 + 0.309017i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(0.649451 + 2.92886i) q^{9} +O(q^{10})$	\(q+(0.809017 - 0.587785i) q^{2} +(-1.35082 - 1.08410i) q^{3} +(0.309017 - 0.951057i) q^{4} +(1.96876 - 2.70976i) q^{5} +(-1.73006 - 0.0830614i) q^{6} +(0.951057 + 0.309017i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(0.649451 + 2.92886i) q^{9} -3.34945i q^{10} +(3.09211 - 1.19953i) q^{11} +(-1.44847 + 0.949704i) q^{12} +(-1.74405 - 2.40048i) q^{13} +(0.951057 - 0.309017i) q^{14} +(-5.59711 + 1.52608i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(1.58988 + 1.15511i) q^{17} +(2.24696 + 1.98776i) q^{18} +(-5.05108 + 1.64119i) q^{19} +(-1.96876 - 2.70976i) q^{20} +(-0.949704 - 1.44847i) q^{21} +(1.79650 - 2.78794i) q^{22} +3.29064i q^{23} +(-0.613613 + 1.61972i) q^{24} +(-1.92173 - 5.91447i) q^{25} +(-2.82194 - 0.916903i) q^{26} +(2.29788 - 4.66044i) q^{27} +(0.587785 - 0.809017i) q^{28} +(0.984118 - 3.02880i) q^{29} +(-3.63114 + 4.52452i) q^{30} +(-5.28711 + 3.84131i) q^{31} -1.00000 q^{32} +(-5.47730 - 1.73180i) q^{33} +1.96520 q^{34} +(2.70976 - 1.96876i) q^{35} +(2.98620 + 0.287402i) q^{36} +(-0.250519 + 0.771018i) q^{37} +(-3.12174 + 4.29670i) q^{38} +(-0.246457 + 5.13336i) q^{39} +(-3.18552 - 1.03504i) q^{40} +(-2.61320 - 8.04261i) q^{41} +(-1.61972 - 0.613613i) q^{42} +6.94527i q^{43} +(-0.185308 - 3.31144i) q^{44} +(9.21513 + 4.00636i) q^{45} +(1.93419 + 2.66218i) q^{46} +(4.03556 - 1.31123i) q^{47} +(0.455621 + 1.67105i) q^{48} +(0.809017 + 0.587785i) q^{49} +(-5.03115 - 3.65534i) q^{50} +(-0.895385 - 3.28394i) q^{51} +(-2.82194 + 0.916903i) q^{52} +(7.18083 + 9.88356i) q^{53} +(-0.880313 - 5.12104i) q^{54} +(2.83717 - 10.7405i) q^{55} -1.00000i q^{56} +(8.60233 + 3.25891i) q^{57} +(-0.984118 - 3.02880i) q^{58} +(6.46724 + 2.10133i) q^{59} +(-0.278210 + 5.79475i) q^{60} +(9.05317 - 12.4606i) q^{61} +(-2.01950 + 6.21537i) q^{62} +(-0.287402 + 2.98620i) q^{63} +(-0.809017 + 0.587785i) q^{64} -9.93837 q^{65} +(-5.44916 + 1.81842i) q^{66} -0.291541 q^{67} +(1.58988 - 1.15511i) q^{68} +(3.56738 - 4.44507i) q^{69} +(1.03504 - 3.18552i) q^{70} +(-5.37987 + 7.40476i) q^{71} +(2.58482 - 1.52273i) q^{72} +(12.3912 + 4.02614i) q^{73} +(0.250519 + 0.771018i) q^{74} +(-3.81596 + 10.0727i) q^{75} +5.31102i q^{76} +(3.31144 - 0.185308i) q^{77} +(2.81793 + 4.29784i) q^{78} +(0.656580 + 0.903705i) q^{79} +(-3.18552 + 1.03504i) q^{80} +(-8.15643 + 3.80430i) q^{81} +(-6.84145 - 4.97060i) q^{82} +(0.505739 + 0.367441i) q^{83} +(-1.67105 + 0.455621i) q^{84} +(6.26017 - 2.03405i) q^{85} +(4.08233 + 5.61884i) q^{86} +(-4.61290 + 3.02450i) q^{87} +(-2.09634 - 2.57009i) q^{88} +8.89950i q^{89} +(9.81008 - 2.17531i) q^{90} +(-0.916903 - 2.82194i) q^{91} +(3.12958 + 1.01686i) q^{92} +(11.3063 + 0.542826i) q^{93} +(2.49411 - 3.43285i) q^{94} +(-5.49710 + 16.9183i) q^{95} +(1.35082 + 1.08410i) q^{96} +(-7.11192 + 5.16711i) q^{97} +1.00000 q^{98} +(5.52143 + 8.27731i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{3}{10}\right)$

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 $

$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$3$	−1.35082	−	1.08410i	−0.779899	−	0.625906i
$3$	−1.35082	−	1.08410i	−0.779899	−	0.625906i
$4$	0.309017	−	0.951057i	0.154508	−	0.475528i
$5$	1.96876	−	2.70976i	0.880456	−	1.21184i	−0.0958385	−	0.995397i	$-0.530553\pi$
$5$	1.96876	−	2.70976i	0.880456	−	1.21184i	0.976294	−	0.216447i	$-0.0694468\pi$
$6$	−1.73006	−	0.0830614i	−0.706293	−	0.0339097i
$7$	0.951057	+	0.309017i	0.359466	+	0.116797i
$7$	0.951057	+	0.309017i	0.359466	+	0.116797i
$8$	−0.309017	−	0.951057i	−0.109254	−	0.336249i
$9$	0.649451	+	2.92886i	0.216484	+	0.976286i
$10$		−	3.34945i		−	1.05919i
$11$	3.09211	−	1.19953i	0.932305	−	0.361672i
$11$	3.09211	−	1.19953i	0.932305	−	0.361672i
$12$	−1.44847	+	0.949704i	−0.418137	+	0.274156i
$13$	−1.74405	−	2.40048i	−0.483714	−	0.665775i	0.495500	−	0.868608i	$-0.334985\pi$
$13$	−1.74405	−	2.40048i	−0.483714	−	0.665775i	−0.979213	+	0.202834i	$0.934985\pi$
$14$	0.951057	−	0.309017i	0.254181	−	0.0825883i
$15$	−5.59711	+	1.52608i	−1.44517	+	0.394033i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	1.58988	+	1.15511i	0.385602	+	0.280156i	0.763651	−	0.645629i	$-0.223405\pi$
$17$	1.58988	+	1.15511i	0.385602	+	0.280156i	−0.378049	+	0.925786i	$0.623405\pi$
$18$	2.24696	+	1.98776i	0.529613	+	0.468519i
$19$	−5.05108	+	1.64119i	−1.15880	+	0.376516i	−0.824450	−	0.565935i	$-0.808515\pi$
$19$	−5.05108	+	1.64119i	−1.15880	+	0.376516i	−0.334346	+	0.942450i	$0.608515\pi$
$20$	−1.96876	−	2.70976i	−0.440228	−	0.605922i
$21$	−0.949704	−	1.44847i	−0.207243	−	0.316082i
$22$	1.79650	−	2.78794i	0.383015	−	0.594390i
$23$			3.29064i			0.686145i	0.939309	+	0.343073i	$0.111468\pi$
$23$			3.29064i			0.686145i	−0.939309	+	0.343073i	$0.888532\pi$
$24$	−0.613613	+	1.61972i	−0.125253	+	0.330623i
$25$	−1.92173	−	5.91447i	−0.384345	−	1.18289i
$26$	−2.82194	−	0.916903i	−0.553428	−	0.179820i
$27$	2.29788	−	4.66044i	0.442228	−	0.896903i
$28$	0.587785	−	0.809017i	0.111081	−	0.152890i
$29$	0.984118	−	3.02880i	0.182746	−	0.562435i	−0.817156	−	0.576416i	$-0.804451\pi$
$29$	0.984118	−	3.02880i	0.182746	−	0.562435i	0.999902	+	0.0139816i	$0.00445061\pi$
$30$	−3.63114	+	4.52452i	−0.662953	+	0.826061i
$31$	−5.28711	+	3.84131i	−0.949593	+	0.689920i	−0.950711	−	0.310079i	$-0.899644\pi$
$31$	−5.28711	+	3.84131i	−0.949593	+	0.689920i	0.00111724	+	0.999999i	$0.499644\pi$
$32$	−1.00000			−0.176777
$33$	−5.47730	−	1.73180i	−0.953476	−	0.301468i
$34$	1.96520			0.337029
$35$	2.70976	−	1.96876i	0.458034	−	0.332781i
$36$	2.98620	+	0.287402i	0.497700	+	0.0479004i
$37$	−0.250519	+	0.771018i	−0.0411851	+	0.126755i	−0.969535	−	0.244953i	$-0.921228\pi$
$37$	−0.250519	+	0.771018i	−0.0411851	+	0.126755i	0.928350	+	0.371707i	$0.121228\pi$
$38$	−3.12174	+	4.29670i	−0.506413	+	0.697017i
$39$	−0.246457	+	5.13336i	−0.0394647	+	0.821996i
$40$	−3.18552	−	1.03504i	−0.503675	−	0.163654i
$41$	−2.61320	−	8.04261i	−0.408113	−	1.25604i	−0.918267	−	0.395961i	$-0.870412\pi$
$41$	−2.61320	−	8.04261i	−0.408113	−	1.25604i	0.510154	−	0.860083i	$-0.329588\pi$
$42$	−1.61972	−	0.613613i	−0.249928	−	0.0946826i
$43$			6.94527i			1.05914i	0.848265	+	0.529572i	$0.177647\pi$
$43$			6.94527i			1.05914i	−0.848265	+	0.529572i	$0.822353\pi$
$44$	−0.185308	−	3.31144i	−0.0279362	−	0.499219i
$45$	9.21513	+	4.00636i	1.37371	+	0.597233i
$46$	1.93419	+	2.66218i	0.285181	+	0.392517i
$47$	4.03556	−	1.31123i	0.588646	−	0.191263i	0.000476052	−	1.00000i	$-0.499848\pi$
$47$	4.03556	−	1.31123i	0.588646	−	0.191263i	0.588170	+	0.808737i	$0.299848\pi$
$48$	0.455621	+	1.67105i	0.0657633	+	0.241195i
$49$	0.809017	+	0.587785i	0.115574	+	0.0839693i
$50$	−5.03115	−	3.65534i	−0.711511	−	0.516943i
$51$	−0.895385	−	3.28394i	−0.125379	−	0.459844i
$52$	−2.82194	+	0.916903i	−0.391332	+	0.127152i
$53$	7.18083	+	9.88356i	0.986363	+	1.35761i	0.933330	+	0.359019i	$0.116889\pi$
$53$	7.18083	+	9.88356i	0.986363	+	1.35761i	0.0530322	+	0.998593i	$0.483111\pi$
$54$	−0.880313	−	5.12104i	−0.119795	−	0.696885i
$55$	2.83717	−	10.7405i	0.382564	−	1.44824i
$56$		−	1.00000i		−	0.133631i
$57$	8.60233	+	3.25891i	1.13941	+	0.431653i
$58$	−0.984118	−	3.02880i	−0.129221	−	0.397702i
$59$	6.46724	+	2.10133i	0.841962	+	0.273570i	0.698076	−	0.716024i	$-0.254040\pi$
$59$	6.46724	+	2.10133i	0.841962	+	0.273570i	0.143887	+	0.989594i	$0.454040\pi$
$60$	−0.278210	+	5.79475i	−0.0359168	+	0.748099i
$61$	9.05317	−	12.4606i	1.15914	−	1.59542i	0.444779	−	0.895640i	$-0.353282\pi$
$61$	9.05317	−	12.4606i	1.15914	−	1.59542i	0.714361	−	0.699778i	$-0.246718\pi$
$62$	−2.01950	+	6.21537i	−0.256476	+	0.789353i
$63$	−0.287402	+	2.98620i	−0.0362093	+	0.376226i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	−9.93837			−1.23270
$66$	−5.44916	+	1.81842i	−0.670745	+	0.223832i
$67$	−0.291541			−0.0356175			−0.0178087	−	0.999841i	$-0.505669\pi$
$67$	−0.291541			−0.0356175			−0.0178087	+	0.999841i	$0.505669\pi$
$68$	1.58988	−	1.15511i	0.192801	−	0.140078i
$69$	3.56738	−	4.44507i	0.429462	−	0.535124i
$70$	1.03504	−	3.18552i	0.123711	−	0.380742i
$71$	−5.37987	+	7.40476i	−0.638473	+	0.878783i	−0.998533	−	0.0541460i	$-0.982756\pi$
$71$	−5.37987	+	7.40476i	−0.638473	+	0.878783i	0.360060	+	0.932929i	$0.382756\pi$
$72$	2.58482	−	1.52273i	0.304624	−	0.179456i
$73$	12.3912	+	4.02614i	1.45028	+	0.471224i	0.925086	−	0.379759i	$-0.123993\pi$
$73$	12.3912	+	4.02614i	1.45028	+	0.471224i	0.525193	+	0.850983i	$0.323993\pi$
$74$	0.250519	+	0.771018i	0.0291222	+	0.0896290i
$75$	−3.81596	+	10.0727i	−0.440629	+	1.16310i
$76$			5.31102i			0.609215i
$77$	3.31144	−	0.185308i	0.377374	−	0.0211178i
$78$	2.81793	+	4.29784i	0.319067	+	0.486635i
$79$	0.656580	+	0.903705i	0.0738710	+	0.101675i	0.844354	−	0.535786i	$-0.179985\pi$
$79$	0.656580	+	0.903705i	0.0738710	+	0.101675i	−0.770483	+	0.637461i	$0.779985\pi$
$80$	−3.18552	+	1.03504i	−0.356152	+	0.115721i
$81$	−8.15643	+	3.80430i	−0.906270	+	0.422700i
$82$	−6.84145	−	4.97060i	−0.755512	−	0.548911i
$83$	0.505739	+	0.367441i	0.0555120	+	0.0403319i	0.615195	−	0.788375i	$-0.289077\pi$
$83$	0.505739	+	0.367441i	0.0555120	+	0.0403319i	−0.559683	+	0.828707i	$0.689077\pi$
$84$	−1.67105	+	0.455621i	−0.182327	+	0.0497123i
$85$	6.26017	−	2.03405i	0.679011	−	0.220624i
$86$	4.08233	+	5.61884i	0.440209	+	0.605896i
$87$	−4.61290	+	3.02450i	−0.494555	+	0.324260i
$88$	−2.09634	−	2.57009i	−0.223470	−	0.273973i
$89$			8.89950i			0.943345i	0.881774	+	0.471672i	$0.156350\pi$
$89$			8.89950i			0.943345i	−0.881774	+	0.471672i	$0.843650\pi$
$90$	9.81008	−	2.17531i	1.03407	−	0.229297i
$91$	−0.916903	−	2.82194i	−0.0961176	−	0.295820i
$92$	3.12958	+	1.01686i	0.326282	+	0.106015i
$93$	11.3063	+	0.542826i	1.17241	+	0.0562884i
$94$	2.49411	−	3.43285i	0.257248	−	0.354071i
$95$	−5.49710	+	16.9183i	−0.563991	+	1.73579i
$96$	1.35082	+	1.08410i	0.137868	+	0.110646i
$97$	−7.11192	+	5.16711i	−0.722106	+	0.524641i	−0.887056	−	0.461661i	$-0.847254\pi$
$97$	−7.11192	+	5.16711i	−0.722106	+	0.524641i	0.164950	+	0.986302i	$0.447254\pi$
$98$	1.00000			0.101015
$99$	5.52143	+	8.27731i	0.554924	+	0.831901i
$100$	−6.21884			−0.621884
$101$	13.3152	−	9.67404i	1.32491	−	0.962603i	0.325052	−	0.945696i	$-0.394618\pi$
$101$	13.3152	−	9.67404i	1.32491	−	0.962603i	0.999857	−	0.0169069i	$-0.00538188\pi$
$102$	−2.65464	−	2.13047i	−0.262848	−	0.210948i
$103$	−3.29384	+	10.1374i	−0.324552	+	0.998867i	0.647091	+	0.762413i	$0.275985\pi$
$103$	−3.29384	+	10.1374i	−0.324552	+	0.998867i	−0.971643	+	0.236454i	$0.924015\pi$
$104$	−1.74405	+	2.40048i	−0.171019	+	0.235387i
$105$	−5.79475	−	0.278210i	−0.565510	−	0.0271506i
$106$	11.6188	+	3.77518i	1.12852	+	0.366678i
$107$	0.120130	+	0.369723i	0.0116134	+	0.0357425i	0.956695	−	0.291091i	$-0.0940183\pi$
$107$	0.120130	+	0.369723i	0.0116134	+	0.0357425i	−0.945082	+	0.326834i	$0.894018\pi$
$108$	−3.72226	−	3.62557i	−0.358175	−	0.348871i
$109$		−	0.316649i		−	0.0303294i	−0.999885	−	0.0151647i	$-0.995173\pi$
$109$		−	0.316649i		−	0.0303294i	0.999885	−	0.0151647i	$-0.00482726\pi$
$110$	−4.01777	−	10.3569i	−0.383080	−	0.987489i
$111$	1.17427	−	0.769922i	0.111457	−	0.0730778i
$112$	−0.587785	−	0.809017i	−0.0555405	−	0.0764449i
$113$	−17.7799	+	5.77704i	−1.67259	+	0.543458i	−0.983452	−	0.181170i	$-0.942012\pi$
$113$	−17.7799	+	5.77704i	−1.67259	+	0.543458i	−0.689140	+	0.724628i	$0.742012\pi$
$114$	8.87497	−	2.41981i	0.831217	−	0.226636i
$115$	8.91685	+	6.47847i	0.831501	+	0.604121i
$116$	−2.57646	−	1.87190i	−0.239218	−	0.173802i
$117$	5.89800	−	6.66709i	0.545270	−	0.616372i
$118$	6.46724	−	2.10133i	0.595357	−	0.193443i
$119$	1.15511	+	1.58988i	0.105889	+	0.145744i
$120$	3.18099	+	4.85158i	0.290383	+	0.442886i
$121$	8.12225	−	7.41816i	0.738387	−	0.674378i
$122$		−	15.4022i		−	1.39445i
$123$	−5.18902	+	13.6971i	−0.467878	+	1.23503i
$124$	2.01950	+	6.21537i	0.181356	+	0.558157i
$125$	−3.88263	−	1.26154i	−0.347273	−	0.112836i
$126$	1.52273	+	2.58482i	0.135656	+	0.230274i
$127$	8.33877	−	11.4773i	0.739946	−	1.01845i	−0.258676	−	0.965964i	$-0.583286\pi$
$127$	8.33877	−	11.4773i	0.739946	−	1.01845i	0.998622	−	0.0524841i	$-0.0167139\pi$
$128$	−0.309017	+	0.951057i	−0.0273135	+	0.0840623i
$129$	7.52938	−	9.38184i	0.662925	−	0.826025i
$130$	−8.04031	+	5.84163i	−0.705182	+	0.512345i
$131$	−7.35577			−0.642677			−0.321339	−	0.946964i	$-0.604133\pi$
$131$	−7.35577			−0.642677			−0.321339	+	0.946964i	$0.604133\pi$
$132$	−3.33962	+	4.67407i	−0.290677	+	0.406826i
$133$	−5.31102			−0.460523
$134$	−0.235862	+	0.171364i	−0.0203754	+	0.0148036i
$135$	−8.10473	−	15.4020i	−0.697544	−	1.32559i
$136$	0.607279	−	1.86901i	0.0520738	−	0.160267i
$137$	9.75835	−	13.4312i	0.833713	−	1.14751i	−0.153508	−	0.988147i	$-0.549057\pi$
$137$	9.75835	−	13.4312i	0.833713	−	1.14751i	0.987221	−	0.159359i	$-0.0509429\pi$
$138$	0.273325	−	5.69299i	0.0232670	−	0.484620i
$139$	−15.3443	−	4.98567i	−1.30149	−	0.422879i	−0.425390	−	0.905010i	$-0.639863\pi$
$139$	−15.3443	−	4.98567i	−1.30149	−	0.422879i	−0.876099	+	0.482131i	$0.839863\pi$
$140$	−1.03504	−	3.18552i	−0.0874767	−	0.269226i
$141$	−6.87283	−	2.60371i	−0.578797	−	0.219272i
$142$			9.15279i			0.768085i
$143$	−8.27226	−	5.33051i	−0.691761	−	0.445759i
$144$	1.19612	−	2.75123i	0.0996769	−	0.229270i
$145$	−6.26986	−	8.62972i	−0.520683	−	0.716659i
$146$	12.3912	−	4.02614i	1.02550	−	0.333206i
$147$	−0.455621	−	1.67105i	−0.0375790	−	0.137826i
$148$	0.655867	+	0.476515i	0.0539119	+	0.0391693i
$149$	−8.85496	−	6.43351i	−0.725427	−	0.527053i	0.162687	−	0.986678i	$-0.447984\pi$
$149$	−8.85496	−	6.43351i	−0.725427	−	0.527053i	−0.888113	+	0.459624i	$0.847984\pi$
$150$	2.83343	+	10.3920i	0.231349	+	0.848503i
$151$	13.5674	−	4.40833i	1.10410	−	0.358745i	0.300422	−	0.953806i	$-0.402872\pi$
$151$	13.5674	−	4.40833i	1.10410	−	0.358745i	0.803680	+	0.595062i	$0.202872\pi$
$152$	3.12174	+	4.29670i	0.253206	+	0.348509i
$153$	−2.35062	+	5.40672i	−0.190036	+	0.437107i
$154$	2.57009	−	2.09634i	0.207104	−	0.168928i
$155$			21.8894i			1.75820i
$156$	4.80596	+	1.82069i	0.384785	+	0.145772i
$157$	6.23366	+	19.1852i	0.497500	+	1.53115i	0.813024	+	0.582230i	$0.197820\pi$
$157$	6.23366	+	19.1852i	0.497500	+	1.53115i	−0.315524	+	0.948918i	$0.602180\pi$
$158$	1.06237	+	0.345184i	0.0845175	+	0.0274614i
$159$	1.01474	−	21.1357i	0.0804742	−	1.67617i
$160$	−1.96876	+	2.70976i	−0.155644	+	0.214226i
$161$	−1.01686	+	3.12958i	−0.0801400	+	0.246646i
$162$	−4.36257	+	7.87197i	−0.342756	+	0.618481i
$163$	4.79493	−	3.48372i	0.375568	−	0.272866i	−0.383948	−	0.923355i	$-0.625436\pi$
$163$	4.79493	−	3.48372i	0.375568	−	0.272866i	0.759516	+	0.650488i	$0.225436\pi$
$164$	−8.45650			−0.660341
$165$	−15.4763	+	11.4327i	−1.20483	+	0.890035i
$166$	0.625127			0.0485193
$167$	3.55491	−	2.58279i	0.275087	−	0.199862i	−0.441685	−	0.897170i	$-0.645619\pi$
$167$	3.55491	−	2.58279i	0.275087	−	0.199862i	0.716772	+	0.697308i	$0.245619\pi$
$168$	−1.08410	+	1.35082i	−0.0836402	+	0.104218i
$169$	1.29662	−	3.99059i	0.0997400	−	0.306968i
$170$	3.86900	−	5.32522i	0.296739	−	0.408426i
$171$	−8.08725	−	13.7280i	−0.618448	−	1.04981i
$172$	6.60535	+	2.14621i	0.503653	+	0.163647i
$173$	−0.709968	−	2.18506i	−0.0539779	−	0.166127i	0.920433	−	0.390900i	$-0.127836\pi$
$173$	−0.709968	−	2.18506i	−0.0539779	−	0.166127i	−0.974411	+	0.224773i	$0.927836\pi$
$174$	−1.95416	+	5.15827i	−0.148144	+	0.391047i
$175$		−	6.21884i		−	0.470100i
$176$	−3.20663	−	0.847054i	−0.241709	−	0.0638491i
$177$	−6.45804	−	9.84967i	−0.485416	−	0.740346i
$178$	5.23099	+	7.19984i	0.392080	+	0.539651i
$179$	12.5257	−	4.06984i	0.936214	−	0.304194i	0.199113	−	0.979977i	$-0.436194\pi$
$179$	12.5257	−	4.06984i	0.936214	−	0.304194i	0.737101	+	0.675782i	$0.236194\pi$
$180$	6.65790	−	7.52608i	0.496251	−	0.560961i
$181$	−21.1736	−	15.3835i	−1.57382	−	1.14345i	−0.923374	−	0.383901i	$-0.874580\pi$
$181$	−21.1736	−	15.3835i	−1.57382	−	1.14345i	−0.650450	−	0.759549i	$-0.725420\pi$
$182$	−2.40048	−	1.74405i	−0.177936	−	0.129278i
$183$	−25.7378	+	7.01755i	−1.90259	+	0.518753i
$184$	3.12958	−	1.01686i	0.230716	−	0.0749641i
$185$	1.59607	+	2.19680i	0.117345	+	0.161512i
$186$	9.46608	−	6.20654i	0.694086	−	0.455085i
$187$	6.30167	+	1.66463i	0.460824	+	0.121730i
$188$		−	4.24323i		−	0.309470i
$189$	3.62557	−	3.72226i	0.263722	−	0.270755i
$190$	5.49710	+	16.9183i	0.398802	+	1.22739i
$191$	10.3485	+	3.36244i	0.748794	+	0.243298i	0.658462	−	0.752614i	$-0.271207\pi$
$191$	10.3485	+	3.36244i	0.748794	+	0.243298i	0.0903319	+	0.995912i	$0.471207\pi$
$192$	1.73006	+	0.0830614i	0.124856	+	0.00599444i
$193$	−6.32425	+	8.70458i	−0.455229	+	0.626569i	−0.973511	−	0.228641i	$-0.926572\pi$
$193$	−6.32425	+	8.70458i	−0.455229	+	0.626569i	0.518282	+	0.855210i	$0.326572\pi$
$194$	−2.71651	+	8.36056i	−0.195034	+	0.600253i
$195$	13.4250	+	10.7742i	0.961383	+	0.771556i
$196$	0.809017	−	0.587785i	0.0577869	−	0.0419847i
$197$	−5.82706			−0.415161			−0.207581	−	0.978218i	$-0.566559\pi$
$197$	−5.82706			−0.415161			−0.207581	+	0.978218i	$0.566559\pi$
$198$	9.33221	+	3.45107i	0.663211	+	0.245257i
$199$	−21.0983			−1.49562			−0.747811	−	0.663912i	$-0.768895\pi$
$199$	−21.0983			−1.49562			−0.747811	+	0.663912i	$0.768895\pi$
$200$	−5.03115	+	3.65534i	−0.355756	+	0.258472i
$201$	0.393821	+	0.316060i	0.0277780	+	0.0222932i
$202$	5.08594	−	15.6529i	0.357846	−	1.10134i
$203$	1.87190	−	2.57646i	0.131382	−	0.180832i
$204$	−3.39990	−	0.163232i	−0.238041	−	0.0114285i
$205$	−26.9383	−	8.75280i	−1.88146	−	0.611322i
$206$	3.29384	+	10.1374i	0.229493	+	0.706306i
$207$	−9.63781	+	2.13711i	−0.669874	+	0.148539i
$208$			2.96716i			0.205736i
$209$	−13.6498	+	11.1337i	−0.944177	+	0.770132i
$210$	−4.85158	+	3.18099i	−0.334791	+	0.219509i
$211$	10.9320	+	15.0466i	0.752591	+	1.03585i	0.997794	+	0.0663810i	$0.0211453\pi$
$211$	10.9320	+	15.0466i	0.752591	+	1.03585i	−0.245203	+	0.969472i	$0.578855\pi$
$212$	11.6188	−	3.77518i	0.797984	−	0.259281i
$213$	15.2948	−	4.17020i	1.04798	−	0.285738i
$214$	0.314505	+	0.228502i	0.0214991	+	0.0156200i
$215$	18.8201	+	13.6736i	1.28352	+	0.932530i
$216$	−5.14243	−	0.745261i	−0.349898	−	0.0507086i
$217$	−6.21537	+	2.01950i	−0.421927	+	0.137092i
$218$	−0.186121	−	0.256174i	−0.0126057	−	0.0173503i
$219$	−12.3736	−	18.8719i	−0.836129	−	1.27525i
$220$	−9.33806	−	6.01730i	−0.629572	−	0.405686i
$221$		−	5.83106i		−	0.392239i
$222$	0.497454	−	1.31310i	0.0333869	−	0.0881293i
$223$	−0.294783	−	0.907249i	−0.0197401	−	0.0607539i	0.940701	−	0.339236i	$-0.110169\pi$
$223$	−0.294783	−	0.907249i	−0.0197401	−	0.0607539i	−0.960441	+	0.278482i	$0.910169\pi$
$224$	−0.951057	−	0.309017i	−0.0635451	−	0.0206471i
$225$	16.0746	−	9.46962i	1.07164	−	0.631308i
$226$	−10.9886	+	15.1245i	−0.730950	+	1.00607i
$227$	0.729476	−	2.24510i	0.0484170	−	0.149012i	−0.923925	−	0.382573i	$-0.875038\pi$
$227$	0.729476	−	2.24510i	0.0484170	−	0.149012i	0.972342	+	0.233561i	$0.0750379\pi$
$228$	5.75768	−	7.17425i	0.381311	−	0.475126i
$229$	−8.10652	+	5.88973i	−0.535694	+	0.389204i	−0.822483	−	0.568789i	$-0.807412\pi$
$229$	−8.10652	+	5.88973i	−0.535694	+	0.389204i	0.286789	+	0.957994i	$0.407412\pi$
$230$	11.0218			0.726758
$231$	−4.67407	−	3.33962i	−0.307531	−	0.219731i
$232$	−3.18467			−0.209084
$233$	0.248510	−	0.180553i	0.0162804	−	0.0118284i	−0.579615	−	0.814890i	$-0.696797\pi$
$233$	0.248510	−	0.180553i	0.0162804	−	0.0118284i	0.595896	+	0.803062i	$0.296797\pi$
$234$	0.852769	−	8.86054i	0.0557472	−	0.579232i
$235$	4.39191	−	13.5169i	0.286497	−	0.881746i
$236$	3.99697	−	5.50136i	0.260181	−	0.358108i
$237$	0.0927830	−	1.93254i	0.00602690	−	0.125532i
$238$	1.86901	+	0.607279i	0.121150	+	0.0393641i
$239$	5.13577	+	15.8063i	0.332205	+	1.02242i	0.968082	+	0.250632i	$0.0806386\pi$
$239$	5.13577	+	15.8063i	0.332205	+	1.02242i	−0.635877	+	0.771790i	$0.719361\pi$
$240$	5.42516	+	2.05527i	0.350193	+	0.132667i
$241$			21.0956i			1.35889i	0.733727	+	0.679445i	$0.237779\pi$
$241$			21.0956i			1.35889i	−0.733727	+	0.679445i	$0.762221\pi$
$242$	2.21076	−	10.7756i	0.142113	−	0.692679i
$243$	15.1421	+	3.70344i	0.971369	+	0.237576i
$244$	−9.05317	−	12.4606i	−0.579570	−	0.797709i
$245$	3.18552	−	1.03504i	0.203515	−	0.0661262i
$246$	3.85296	+	14.1312i	0.245656	+	0.900975i
$247$	12.7490	+	9.26270i	0.811200	+	0.589371i
$248$	5.28711	+	3.84131i	0.335732	+	0.243924i
$249$	−0.284821	−	1.04462i	−0.0180498	−	0.0662001i
$250$	−3.88263	+	1.26154i	−0.245559	+	0.0797870i
$251$	1.03236	+	1.42092i	0.0651620	+	0.0896878i	0.840354	−	0.542038i	$-0.182347\pi$
$251$	1.03236	+	1.42092i	0.0651620	+	0.0896878i	−0.775192	+	0.631725i	$0.782347\pi$
$252$	2.75123	+	1.19612i	0.173311	+	0.0753487i
$253$	3.94722	+	10.1750i	0.248160	+	0.639697i
$254$		−	14.1868i		−	0.890156i
$255$	−10.6615	−	4.03901i	−0.667650	−	0.252933i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	−0.329839	−	0.107171i	−0.0205748	−	0.00668515i	0.298712	−	0.954343i	$-0.403443\pi$
$257$	−0.329839	−	0.107171i	−0.0205748	−	0.00668515i	−0.319286	+	0.947658i	$0.603443\pi$
$258$	0.576884	−	12.0157i	0.0359153	−	0.748066i
$259$	−0.476515	+	0.655867i	−0.0296092	+	0.0407536i
$260$	−3.07113	+	9.45195i	−0.190463	+	0.586185i
$261$	9.51008	+	0.915282i	0.588659	+	0.0566546i
$262$	−5.95095	+	4.32362i	−0.367651	+	0.267114i
$263$	−21.9124			−1.35118			−0.675589	−	0.737279i	$-0.736111\pi$
$263$	−21.9124			−1.35118			−0.675589	+	0.737279i	$0.736111\pi$
$264$	0.0455402	+	5.74438i	0.00280281	+	0.353542i
$265$	40.9194			2.51366
$266$	−4.29670	+	3.12174i	−0.263448	+	0.191406i
$267$	9.64795	−	12.0217i	0.590445	−	0.735713i
$268$	−0.0900912	+	0.277272i	−0.00550320	+	0.0169371i
$269$	−17.4600	+	24.0316i	−1.06456	+	1.46523i	−0.189087	+	0.981960i	$0.560553\pi$
$269$	−17.4600	+	24.0316i	−1.06456	+	1.46523i	−0.875469	+	0.483275i	$0.839447\pi$
$270$	−15.6099	−	7.69665i	−0.949991	−	0.468403i
$271$	−27.9268	−	9.07396i	−1.69643	−	0.551204i	−0.708448	−	0.705763i	$-0.750604\pi$
$271$	−27.9268	−	9.07396i	−1.69643	−	0.551204i	−0.987984	+	0.154559i	$0.950604\pi$
$272$	−0.607279	−	1.86901i	−0.0368217	−	0.113326i
$273$	−1.82069	+	4.80596i	−0.110193	+	0.290870i
$274$		−	16.6019i		−	1.00296i
$275$	−13.0368	−	15.9830i	−0.786147	−	0.963811i
$276$	−3.12513	−	4.76639i	−0.188111	−	0.286903i
$277$	6.12398	+	8.42893i	0.367954	+	0.506445i	0.952343	−	0.305028i	$-0.0986658\pi$
$277$	6.12398	+	8.42893i	0.367954	+	0.506445i	−0.584389	+	0.811474i	$0.698666\pi$
$278$	−15.3443	+	4.98567i	−0.920291	+	0.299021i
$279$	−14.6844	−	12.9905i	−0.879131	−	0.777719i
$280$	−2.70976	−	1.96876i	−0.161939	−	0.117656i
$281$	−6.91785	−	5.02611i	−0.412684	−	0.299833i	0.362003	−	0.932177i	$-0.382093\pi$
$281$	−6.91785	−	5.02611i	−0.412684	−	0.299833i	−0.774688	+	0.632344i	$0.782093\pi$
$282$	−7.09066	+	1.93331i	−0.422243	+	0.115127i
$283$	−25.1001	+	8.15553i	−1.49205	+	0.484796i	−0.937687	−	0.347480i	$-0.887037\pi$
$283$	−25.1001	+	8.15553i	−1.49205	+	0.484796i	−0.554361	+	0.832276i	$0.687037\pi$
$284$	5.37987	+	7.40476i	0.319237	+	0.439392i
$285$	25.7668	−	16.8943i	1.52629	−	1.00073i
$286$	−9.82559	+	0.549839i	−0.580999	+	0.0325126i
$287$		−	8.45650i		−	0.499171i
$288$	−0.649451	−	2.92886i	−0.0382693	−	0.172585i
$289$	−4.05987	−	12.4950i	−0.238816	−	0.734999i
$290$	−10.1448	−	3.29626i	−0.595726	−	0.193563i
$291$	15.2086	+	0.730178i	0.891545	+	0.0428038i
$292$	7.65818	−	10.5406i	0.448161	−	0.616841i
$293$	5.03408	−	15.4933i	0.294094	−	0.905129i	−0.689430	−	0.724352i	$-0.742139\pi$
$293$	5.03408	−	15.4933i	0.294094	−	0.905129i	0.983524	−	0.180777i	$-0.0578611\pi$
$294$	−1.35082	−	1.08410i	−0.0787817	−	0.0632260i
$295$	18.4265	−	13.3877i	1.07284	−	0.779460i
$296$	0.810696			0.0471208
$297$	1.51496	−	17.1670i	0.0879067	−	0.996129i
$298$	−10.9453			−0.634046
$299$	7.89912	−	5.73905i	0.456818	−	0.331898i
$300$	8.40056	+	6.74185i	0.485006	+	0.389241i
$301$	−2.14621	+	6.60535i	−0.123705	+	0.380726i
$302$	8.38514	−	11.5412i	0.482510	−	0.664119i
$303$	−28.4741	−	1.36706i	−1.63579	−	0.0785357i
$304$	5.05108	+	1.64119i	0.289699	+	0.0941289i
$305$	−15.9418	−	49.0639i	−0.912826	−	2.80939i
$306$	1.27630	+	5.75578i	0.0729612	+	0.329036i
$307$			17.8977i			1.02147i	0.859737	+	0.510737i	$0.170627\pi$
$307$			17.8977i			1.02147i	−0.859737	+	0.510737i	$0.829373\pi$
$308$	0.847054	−	3.20663i	0.0482654	−	0.182715i
$309$	15.4394	−	10.1230i	0.878314	−	0.575876i
$310$	12.8663	+	17.7089i	0.730756	+	1.00580i
$311$	19.1897	−	6.23510i	1.08815	−	0.353560i	0.290617	−	0.956840i	$-0.406140\pi$
$311$	19.1897	−	6.23510i	1.08815	−	0.353560i	0.797530	+	0.603279i	$0.206140\pi$
$312$	4.95828	−	1.35190i	0.280707	−	0.0765364i
$313$	5.43352	+	3.94769i	0.307121	+	0.223136i	0.730660	−	0.682741i	$-0.239212\pi$
$313$	5.43352	+	3.94769i	0.307121	+	0.223136i	−0.423539	+	0.905878i	$0.639212\pi$
$314$	16.3199	+	11.8571i	0.920987	+	0.669136i
$315$	7.52608	+	6.65790i	0.424046	+	0.375130i
$316$	1.06237	−	0.345184i	0.0597629	−	0.0194181i
$317$	10.4071	+	14.3242i	0.584522	+	0.804525i	0.994182	−	0.107713i	$-0.0343527\pi$
$317$	10.4071	+	14.3242i	0.584522	+	0.804525i	−0.409660	+	0.912238i	$0.634353\pi$
$318$	−11.6023	−	17.6956i	−0.650625	−	0.992319i
$319$	−0.590145	−	10.5459i	−0.0330418	−	0.590455i
$320$			3.34945i			0.187240i
$321$	0.238542	−	0.629664i	0.0133141	−	0.0351444i
$322$	1.01686	+	3.12958i	0.0566676	+	0.174405i
$323$	−9.92636	−	3.22527i	−0.552317	−	0.179459i
$324$	1.09763	+	8.93282i	0.0609796	+	0.496268i
$325$	−10.8460	+	14.9282i	−0.601627	+	0.828069i
$326$	1.83150	−	5.63678i	0.101437	−	0.312192i
$327$	−0.343279	+	0.427737i	−0.0189834	+	0.0236539i
$328$	−6.84145	+	4.97060i	−0.377756	+	0.274456i
$329$	4.24323			0.233937
$330$	−5.80058	+	18.3460i	−0.319312	+	1.00991i
$331$	−20.9688			−1.15255			−0.576275	−	0.817256i	$-0.695494\pi$
$331$	−20.9688			−1.15255			−0.576275	+	0.817256i	$0.695494\pi$
$332$	0.505739	−	0.367441i	0.0277560	−	0.0201659i
$333$	−2.42090	−	0.232996i	−0.132665	−	0.0127681i
$334$	1.35785	−	4.17904i	0.0742984	−	0.228667i
$335$	−0.573975	+	0.790009i	−0.0313596	+	0.0431628i
$336$	−0.0830614	+	1.73006i	−0.00453137	+	0.0943824i
$337$	−15.4283	−	5.01296i	−0.840433	−	0.273073i	−0.143000	−	0.989723i	$-0.545675\pi$
$337$	−15.4283	−	5.01296i	−0.840433	−	0.273073i	−0.697434	+	0.716649i	$0.745675\pi$
$338$	−1.29662	−	3.99059i	−0.0705268	−	0.217059i
$339$	30.2804	+	11.4714i	1.64461	+	0.623043i
$340$		−	6.58234i		−	0.356977i
$341$	−11.7405	+	18.2198i	−0.635786	+	0.986658i
$342$	−14.6118	−	6.35263i	−0.790118	−	0.343511i
$343$	0.587785	+	0.809017i	0.0317374	+	0.0436828i
$344$	6.60535	−	2.14621i	0.356136	−	0.115716i
$345$	−5.02178	−	18.4180i	−0.270364	−	0.991594i
$346$	−1.85872	−	1.35044i	−0.0999254	−	0.0726001i
$347$	−11.7989	−	8.57242i	−0.633400	−	0.460192i	0.224177	−	0.974549i	$-0.428031\pi$
$347$	−11.7989	−	8.57242i	−0.633400	−	0.460192i	−0.857576	+	0.514357i	$0.828031\pi$
$348$	1.45100	+	5.32175i	0.0777820	+	0.285276i
$349$	4.61564	−	1.49971i	0.247070	−	0.0802778i	−0.182864	−	0.983138i	$-0.558537\pi$
$349$	4.61564	−	1.49971i	0.247070	−	0.0802778i	0.429934	+	0.902860i	$0.358537\pi$
$350$	−3.65534	−	5.03115i	−0.195386	−	0.268926i
$351$	−15.1950	+	2.61203i	−0.811047	+	0.139420i
$352$	−3.09211	+	1.19953i	−0.164810	+	0.0639352i
$353$			26.4448i			1.40751i	0.710441	+	0.703757i	$0.248496\pi$
$353$			26.4448i			1.40751i	−0.710441	+	0.703757i	$0.751504\pi$
$354$	−11.0142	−	4.17260i	−0.585396	−	0.221771i
$355$	9.47348	+	29.1564i	0.502800	+	1.54746i
$356$	8.46392	+	2.75010i	0.448587	+	0.145755i
$357$	0.163232	−	3.39990i	0.00863916	−	0.179942i
$358$	7.74130	−	10.6550i	0.409141	−	0.563134i
$359$	3.58878	−	11.0451i	0.189409	−	0.582940i	−0.810588	−	0.585617i	$-0.800852\pi$
$359$	3.58878	−	11.0451i	0.189409	−	0.582940i	0.999996	+	0.00267727i	$0.000852202\pi$
$360$	0.962640	−	10.0021i	0.0507356	−	0.527159i
$361$	7.44853	−	5.41167i	0.392028	−	0.284825i
$362$	−26.1721			−1.37557
$363$	−19.0138	+	1.21528i	−0.997964	+	0.0637858i
$364$	−2.96716			−0.155522
$365$	35.3052	−	25.6507i	1.84796	−	1.34262i
$366$	−16.6975	+	20.8056i	−0.872792	+	1.08753i
$367$	−5.23853	+	16.1225i	−0.273449	+	0.841590i	0.716176	+	0.697919i	$0.245891\pi$
$367$	−5.23853	+	16.1225i	−0.273449	+	0.841590i	−0.989626	+	0.143671i	$0.954109\pi$
$368$	1.93419	−	2.66218i	0.100827	−	0.138776i
$369$	21.8585	−	12.8770i	1.13791	−	0.670349i
$370$	2.58249	+	0.839102i	0.134257	+	0.0436228i
$371$	3.77518	+	11.6188i	0.195998	+	0.603219i
$372$	4.01011	−	10.5852i	0.207914	−	0.548818i
$373$			17.5384i			0.908102i	0.890976	+	0.454051i	$0.150022\pi$
$373$			17.5384i			0.908102i	−0.890976	+	0.454051i	$0.849978\pi$
$374$	6.07660	−	2.35731i	0.314213	−	0.121894i
$375$	3.87711	+	5.91329i	0.200213	+	0.305361i
$376$	−2.49411	−	3.43285i	−0.128624	−	0.177036i
$377$	−8.98695	+	2.92004i	−0.462852	+	0.150390i
$378$	0.745261	−	5.14243i	0.0383321	−	0.264498i
$379$	−12.9746	−	9.42659i	−0.666460	−	0.484211i	0.202378	−	0.979307i	$-0.435133\pi$
$379$	−12.9746	−	9.42659i	−0.666460	−	0.484211i	−0.868838	+	0.495096i	$0.835133\pi$
$380$	14.3916	+	10.4561i	0.738274	+	0.536387i
$381$	−23.7068	+	6.46379i	−1.21454	+	0.331150i
$382$	10.3485	−	3.36244i	0.529477	−	0.172038i
$383$	−3.59741	−	4.95141i	−0.183819	−	0.253005i	0.707156	−	0.707058i	$-0.249978\pi$
$383$	−3.59741	−	4.95141i	−0.183819	−	0.253005i	−0.890975	+	0.454053i	$0.849978\pi$
$384$	1.44847	−	0.949704i	0.0739169	−	0.0484644i
$385$	6.01730	−	9.33806i	0.306670	−	0.475912i
$386$			10.7595i			0.547642i
$387$	−20.3417	+	4.51062i	−1.03403	+	0.229288i
$388$	2.71651	+	8.36056i	0.137910	+	0.424443i
$389$	16.9391	+	5.50385i	0.858847	+	0.279056i	0.705147	−	0.709061i	$-0.250881\pi$
$389$	16.9391	+	5.50385i	0.858847	+	0.279056i	0.153700	+	0.988118i	$0.450881\pi$
$390$	17.1940	+	0.825495i	0.870650	+	0.0418006i
$391$	−3.80106	+	5.23171i	−0.192228	+	0.264579i
$392$	0.309017	−	0.951057i	0.0156077	−	0.0480356i
$393$	9.93636	+	7.97440i	0.501223	+	0.402255i
$394$	−4.71419	+	3.42506i	−0.237498	+	0.172552i
$395$	3.74147			0.188254
$396$	9.57840	−	2.69336i	0.481333	−	0.135347i
$397$	28.9597			1.45344			0.726722	−	0.686932i	$-0.241043\pi$
$397$	28.9597			1.45344			0.726722	+	0.686932i	$0.241043\pi$
$398$	−17.0689	+	12.4013i	−0.855588	+	0.621621i
$399$	7.17425	+	5.75768i	0.359162	+	0.288244i
$400$	−1.92173	+	5.91447i	−0.0960863	+	0.295723i
$401$	−6.32086	+	8.69991i	−0.315648	+	0.434453i	−0.937132	−	0.348974i	$-0.886530\pi$
$401$	−6.32086	+	8.69991i	−0.315648	+	0.434453i	0.621484	+	0.783427i	$0.286530\pi$
$402$	0.504384	+	0.0242158i	0.0251564	+	0.00120778i
$403$	18.4420	+	5.99218i	0.918662	+	0.298492i
$404$	−5.08594	−	15.6529i	−0.253035	−	0.778762i
$405$	−5.74928	+	29.5918i	−0.285684	+	1.47043i
$406$		−	3.18467i		−	0.158053i
$407$	0.150228	+	2.68458i	0.00744655	+	0.133069i
$408$	−2.84653	+	1.86636i	−0.140924	+	0.0923984i
$409$	8.35912	+	11.5053i	0.413332	+	0.568902i	0.964027	−	0.265804i	$-0.0856374\pi$
$409$	8.35912	+	11.5053i	0.413332	+	0.568902i	−0.550695	+	0.834706i	$0.685637\pi$
$410$	−26.9383	+	8.75280i	−1.33039	+	0.432270i
$411$	−27.7426	+	7.56418i	−1.36844	+	0.373113i
$412$	8.62338	+	6.26525i	0.424843	+	0.308667i
$413$	5.50136	+	3.99697i	0.270704	+	0.196678i
$414$	−6.54099	+	7.39392i	−0.321472	+	0.363391i
$415$	1.99136	−	0.647031i	0.0977518	−	0.0317615i
$416$	1.74405	+	2.40048i	0.0855093	+	0.117693i
$417$	15.3225	+	23.3696i	0.750347	+	1.14441i
$418$	−4.49872	+	17.0305i	−0.220039	+	0.832988i
$419$		−	30.4311i		−	1.48666i	−0.668926	−	0.743329i	$-0.733246\pi$
$419$		−	30.4311i		−	1.48666i	0.668926	−	0.743329i	$-0.266754\pi$
$420$	−2.05527	+	5.42516i	−0.100287	+	0.264721i
$421$	11.1666	+	34.3673i	0.544228	+	1.67496i	0.722819	+	0.691038i	$0.242846\pi$
$421$	11.1666	+	34.3673i	0.544228	+	1.67496i	−0.178591	+	0.983923i	$0.557154\pi$
$422$	17.6884	+	5.74730i	0.861057	+	0.279774i
$423$	6.46131	+	10.9680i	0.314160	+	0.533282i
$424$	7.18083	−	9.88356i	0.348732	−	0.479988i
$425$	3.77657	−	11.6231i	0.183191	−	0.563803i
$426$	9.92254	−	12.3638i	0.480749	−	0.599028i
$427$	12.4606	−	9.05317i	0.603011	−	0.438113i
$428$	0.388750			0.0187909
$429$	5.39556	+	16.1685i	0.260500	+	0.780624i
$430$	23.2629			1.12184
$431$	21.4925	−	15.6152i	1.03526	−	0.752157i	0.0659013	−	0.997826i	$-0.479008\pi$
$431$	21.4925	−	15.6152i	1.03526	−	0.752157i	0.969354	+	0.245669i	$0.0790077\pi$
$432$	−4.59837	+	2.41972i	−0.221239	+	0.116419i
$433$	−0.366960	+	1.12939i	−0.0176350	+	0.0542748i	−0.959487	−	0.281754i	$-0.909084\pi$
$433$	−0.366960	+	1.12939i	−0.0176350	+	0.0542748i	0.941852	+	0.336029i	$0.109084\pi$
$434$	−3.84131	+	5.28711i	−0.184389	+	0.253790i
$435$	−0.886009	+	18.4544i	−0.0424809	+	0.884820i
$436$	−0.301151	−	0.0978498i	−0.0144225	−	0.00468616i
$437$	−5.40058	−	16.6213i	−0.258345	−	0.795103i
$438$	−21.1031	−	7.99469i	−1.00834	−	0.382001i
$439$		−	25.9468i		−	1.23837i	−0.785244	−	0.619187i	$-0.787462\pi$
$439$		−	25.9468i		−	1.23837i	0.785244	−	0.619187i	$-0.212538\pi$
$440$	−11.0915	+	0.620680i	−0.528768	+	0.0295898i
$441$	−1.19612	+	2.75123i	−0.0569582	+	0.131011i
$442$	−3.42741	−	4.71742i	−0.163025	−	0.224385i
$443$	35.0160	−	11.3774i	1.66366	−	0.540556i	0.682027	−	0.731327i	$-0.261099\pi$
$443$	35.0160	−	11.3774i	1.66366	−	0.540556i	0.981635	+	0.190771i	$0.0610987\pi$
$444$	−0.369370	−	1.35471i	−0.0175295	−	0.0642919i
$445$	24.1155	+	17.5210i	1.14319	+	0.830574i
$446$	−0.771752	−	0.560711i	−0.0365435	−	0.0265504i
$447$	4.98693	+	18.2902i	0.235874	+	0.865097i
$448$	−0.951057	+	0.309017i	−0.0449332	+	0.0145997i
$449$	−3.72139	−	5.12205i	−0.175623	−	0.241725i	0.712126	−	0.702051i	$-0.247732\pi$
$449$	−3.72139	−	5.12205i	−0.175623	−	0.241725i	−0.887750	+	0.460327i	$0.847732\pi$
$450$	7.43849	−	17.1095i	0.350654	−	0.806549i
$451$	−17.7277	−	21.7340i	−0.834763	−	1.02341i
$452$			18.6949i			0.879334i
$453$	−23.1063	−	8.75359i	−1.08563	−	0.411280i
$454$	−0.729476	−	2.24510i	−0.0342360	−	0.105368i
$455$	−9.45195	−	3.07113i	−0.443114	−	0.143977i
$456$	0.441141	−	9.18836i	0.0206583	−	0.430285i
$457$	−2.52221	+	3.47152i	−0.117984	+	0.162391i	−0.863924	−	0.503622i	$-0.832000\pi$
$457$	−2.52221	+	3.47152i	−0.117984	+	0.162391i	0.745940	+	0.666013i	$0.232000\pi$
$458$	−3.09641	+	9.52978i	−0.144686	+	0.445298i
$459$	9.03670	−	4.75522i	0.421797	−	0.221955i
$460$	8.91685	−	6.47847i	0.415750	−	0.302060i
$461$	−0.793091			−0.0369380			−0.0184690	−	0.999829i	$-0.505879\pi$
$461$	−0.793091			−0.0369380			−0.0184690	+	0.999829i	$0.505879\pi$
$462$	−5.74438	+	0.0455402i	−0.267253	+	0.00211872i
$463$	−27.5831			−1.28189			−0.640947	−	0.767585i	$-0.721458\pi$
$463$	−27.5831			−1.28189			−0.640947	+	0.767585i	$0.721458\pi$
$464$	−2.57646	+	1.87190i	−0.119609	+	0.0869010i
$465$	23.7304	−	29.5688i	1.10047	−	1.37122i
$466$	0.0949223	−	0.292141i	0.00439719	−	0.0135332i
$467$	−1.32163	+	1.81906i	−0.0611575	+	0.0841761i	−0.838500	−	0.544901i	$-0.816567\pi$
$467$	−1.32163	+	1.81906i	−0.0611575	+	0.0841761i	0.777343	+	0.629077i	$0.216567\pi$
$468$	−4.51819	−	7.66958i	−0.208854	−	0.354526i
$469$	−0.277272	−	0.0900912i	−0.0128032	−	0.00416003i
$470$	−4.39191	−	13.5169i	−0.202584	−	0.623488i
$471$	12.3781	−	32.6738i	0.570355	−	1.50553i
$472$		−	6.80005i		−	0.312998i
$473$	8.33107	+	21.4755i	0.383063	+	0.987446i
$474$	−1.06086	−	1.61800i	−0.0487268	−	0.0743171i
$475$	19.4136	+	26.7205i	0.890756	+	1.22602i
$476$	1.86901	−	0.607279i	0.0856661	−	0.0278346i
$477$	−24.2840	+	27.4505i	−1.11189	+	1.25687i
$478$	13.4456	+	9.76881i	0.614988	+	0.446815i
$479$	12.0673	+	8.76742i	0.551370	+	0.400594i	0.828290	−	0.560299i	$-0.189314\pi$
$479$	12.0673	+	8.76742i	0.551370	+	0.400594i	−0.276921	+	0.960893i	$0.589314\pi$
$480$	5.59711	−	1.52608i	0.255472	−	0.0696558i
$481$	2.28774	−	0.743330i	0.104312	−	0.0338929i
$482$	12.3997	+	17.0667i	0.564791	+	0.777368i
$483$	4.76639	−	3.12513i	0.216878	−	0.142198i
$484$	−4.54517	−	10.0171i	−0.206599	−	0.455321i
$485$			29.4444i			1.33700i
$486$	14.4271	−	5.90418i	0.654426	−	0.267819i
$487$	−7.48024	−	23.0218i	−0.338962	−	1.04322i	−0.964737	−	0.263214i	$-0.915217\pi$
$487$	−7.48024	−	23.0218i	−0.338962	−	1.04322i	0.625776	−	0.780003i	$-0.284783\pi$
$488$	−14.6483	−	4.75953i	−0.663099	−	0.215454i
$489$	−10.2538	−	0.492294i	−0.463694	−	0.0222623i
$490$	1.96876	−	2.70976i	0.0889395	−	0.122415i
$491$	2.61492	−	8.04788i	0.118010	−	0.363196i	−0.874553	−	0.484929i	$-0.838845\pi$
$491$	2.61492	−	8.04788i	0.118010	−	0.363196i	0.992563	+	0.121733i	$0.0388453\pi$
$492$	11.4232	+	9.16769i	0.514999	+	0.413312i
$493$	5.06324	−	3.67866i	0.228037	−	0.165679i
$494$	15.7586			0.709015
$495$	33.2999	+	1.33425i	1.49672	+	0.0599702i
$496$	6.53523			0.293441
$497$	−7.40476	+	5.37987i	−0.332149	+	0.241320i
$498$	−0.844437	−	0.677701i	−0.0378401	−	0.0303685i
$499$	−1.67031	+	5.14067i	−0.0747731	+	0.230128i	−0.981457	−	0.191683i	$-0.938605\pi$
$499$	−1.67031	+	5.14067i	−0.0747731	+	0.230128i	0.906684	+	0.421811i	$0.138605\pi$
$500$	−2.39960	+	3.30276i	−0.107313	+	0.147704i
$501$	−7.60206	−	0.364981i	−0.339635	−	0.0163061i
$502$	1.67039	+	0.542744i	0.0745534	+	0.0242239i
$503$	8.06902	+	24.8339i	0.359780	+	1.10729i	0.953186	+	0.302385i	$0.0977829\pi$
$503$	8.06902	+	24.8339i	0.359780	+	1.10729i	−0.593406	+	0.804903i	$0.702217\pi$
$504$	2.92886	−	0.649451i	0.130462	−	0.0289289i
$505$		−	55.1268i		−	2.45311i
$506$	9.17409	+	5.91163i	0.407838	+	0.262804i
$507$	−6.07770	+	3.98491i	−0.269920	+	0.176976i
$508$	−8.33877	−	11.4773i	−0.369973	−	0.509224i
$509$	−16.7967	+	5.45758i	−0.744501	+	0.241903i	−0.656613	−	0.754227i	$-0.728012\pi$
$509$	−16.7967	+	5.45758i	−0.744501	+	0.241903i	−0.0878877	+	0.996130i	$0.528012\pi$
$510$	−10.9994	+	2.99905i	−0.487062	+	0.132800i
$511$	10.5406	+	7.65818i	0.466288	+	0.338778i
$512$	0.809017	+	0.587785i	0.0357538	+	0.0259767i
$513$	−3.95809	+	27.3115i	−0.174754	+	1.20583i
$514$	−0.329839	+	0.107171i	−0.0145486	+	0.00472711i
$515$	20.9852	+	28.8836i	0.924717	+	1.27276i
$516$	−6.59596	−	10.0600i	−0.290371	−	0.442867i
$517$	10.9055	−	8.89524i	0.479624	−	0.391212i
$518$			0.810696i			0.0356200i
$519$	−1.40978	+	3.72130i	−0.0618825	+	0.163347i
$520$	3.07113	+	9.45195i	0.134678	+	0.414495i
$521$	−24.2568	−	7.88151i	−1.06271	−	0.345295i	−0.275065	−	0.961426i	$-0.588699\pi$
$521$	−24.2568	−	7.88151i	−1.06271	−	0.345295i	−0.787644	+	0.616130i	$0.788699\pi$
$522$	8.23180	−	4.84940i	0.360296	−	0.212253i
$523$	−15.9861	+	22.0030i	−0.699023	+	0.962123i	0.300941	+	0.953643i	$0.402699\pi$
$523$	−15.9861	+	22.0030i	−0.699023	+	0.962123i	−0.999964	+	0.00847986i	$0.997301\pi$
$524$	−2.27306	+	6.99576i	−0.0992991	+	0.305611i
$525$	−6.74185	+	8.40056i	−0.294238	+	0.366630i
$526$	−17.7275	+	12.8798i	−0.772957	+	0.561586i
$527$	−12.8430			−0.559451
$528$	3.41331	+	4.62053i	0.148545	+	0.201083i
$529$	12.1717			0.529204
$530$	33.1045	−	24.0518i	1.43797	−	1.04475i
$531$	−1.95435	+	20.3063i	−0.0848116	+	0.881220i
$532$	−1.64119	+	5.05108i	−0.0711548	+	0.218992i
$533$	−14.7486	+	20.2997i	−0.638832	+	0.879277i
$534$	0.739205	−	15.3966i	0.0319885	−	0.666278i
$535$	1.23837	+	0.402371i	0.0535394	+	0.0173960i
$536$	0.0900912	+	0.277272i	0.00389135	+	0.0119763i
$537$	−21.3321	−	8.08147i	−0.920549	−	0.348741i
$538$			29.7047i			1.28066i
$539$	3.20663	+	0.847054i	0.138119	+	0.0364852i
$540$	−17.1527	+	2.94857i	−0.738134	+	0.126886i
$541$	−6.00348	−	8.26308i	−0.258110	−	0.355258i	0.660221	−	0.751071i	$-0.270463\pi$
$541$	−6.00348	−	8.26308i	−0.258110	−	0.355258i	−0.918331	+	0.395814i	$0.870463\pi$
$542$	−27.9268	+	9.07396i	−1.19956	+	0.389760i
$543$	11.9245	+	43.7348i	0.511731	+	1.87684i
$544$	−1.58988	−	1.15511i	−0.0681654	−	0.0495251i
$545$	−0.858043	−	0.623405i	−0.0367545	−	0.0267037i
$546$	1.35190	+	4.95828i	0.0578561	+	0.212195i
$547$	−28.4799	+	9.25370i	−1.21771	+	0.395659i	−0.846249	−	0.532787i	$-0.821145\pi$
$547$	−28.4799	+	9.25370i	−1.21771	+	0.395659i	−0.371466	+	0.928447i	$0.621145\pi$
$548$	−9.75835	−	13.4312i	−0.416856	−	0.573753i
$549$	42.3750	+	18.4229i	1.80852	+	0.786270i
$550$	−19.9415	−	5.26769i	−0.850310	−	0.224615i
$551$			16.9139i			0.720554i
$552$	−5.32990	−	2.01918i	−0.226855	−	0.0859420i
$553$	0.345184	+	1.06237i	0.0146787	+	0.0451765i
$554$	9.90880	+	3.21957i	0.420985	+	0.136786i
$555$	0.225544	−	4.69778i	0.00957382	−	0.199410i
$556$	−9.48331	+	13.0527i	−0.402182	+	0.553556i
$557$	−3.84988	+	11.8487i	−0.163124	+	0.502046i	−0.998893	−	0.0470361i	$-0.985022\pi$
$557$	−3.84988	+	11.8487i	−0.163124	+	0.502046i	0.835769	+	0.549082i	$0.185022\pi$
$558$	−19.5155	−	1.87824i	−0.826158	−	0.0795122i
$559$	16.6720	−	12.1129i	0.705151	−	0.512322i
$560$	−3.34945			−0.141540
$561$	−6.70782	−	9.08026i	−0.283204	−	0.383369i
$562$	−8.55093			−0.360699
$563$	6.90825	−	5.01914i	0.291148	−	0.211531i	−0.432617	−	0.901578i	$-0.642410\pi$
$563$	6.90825	−	5.01914i	0.291148	−	0.211531i	0.723765	+	0.690046i	$0.242410\pi$
$564$	−4.60009	+	5.73186i	−0.193699	+	0.241355i
$565$	−19.3499	+	59.5529i	−0.814057	+	2.50541i
$566$	−15.5127	+	21.3515i	−0.652049	+	0.897469i
$567$	−8.93282	+	1.09763i	−0.375143	+	0.0460962i
$568$	8.70482	+	2.82837i	0.365246	+	0.118676i
$569$	−4.53295	−	13.9510i	−0.190031	−	0.584856i	0.809967	−	0.586475i	$-0.199485\pi$
$569$	−4.53295	−	13.9510i	−0.190031	−	0.584856i	−0.999999	+	0.00161883i	$0.999485\pi$
$570$	10.9156	−	28.8131i	0.457203	−	1.20685i
$571$		−	43.0612i		−	1.80206i	−0.433762	−	0.901028i	$-0.642814\pi$
$571$		−	43.0612i		−	1.80206i	0.433762	−	0.901028i	$-0.357186\pi$
$572$	−7.62588	+	6.22017i	−0.318854	+	0.260078i
$573$	−10.3338	−	15.7609i	−0.431702	−	0.658422i
$574$	−4.97060	−	6.84145i	−0.207469	−	0.285557i
$575$	19.4624	−	6.32371i	0.811637	−	0.263717i
$576$	−2.24696	−	1.98776i	−0.0936232	−	0.0828233i
$577$	−17.7269	−	12.8794i	−0.737982	−	0.536176i	0.154096	−	0.988056i	$-0.450753\pi$
$577$	−17.7269	−	12.8794i	−0.737982	−	0.536176i	−0.892079	+	0.451880i	$0.850753\pi$
$578$	−10.6289	−	7.72232i	−0.442103	−	0.321206i
$579$	17.9796	−	4.90223i	0.747206	−	0.203730i
$580$	−10.1448	+	3.29626i	−0.421242	+	0.136870i
$581$	0.367441	+	0.505739i	0.0152440	+	0.0209816i
$582$	12.7332	−	8.34868i	0.527809	−	0.346064i
$583$	34.0595	+	21.9474i	1.41060	+	0.908969i
$584$		−	13.0289i		−	0.539138i
$585$	−6.45449	−	29.1081i	−0.266860	−	1.20347i
$586$	−5.03408	−	15.4933i	−0.207956	−	0.640023i
$587$	−13.0033	−	4.22501i	−0.536702	−	0.174385i	0.0281098	−	0.999605i	$-0.491051\pi$
$587$	−13.0033	−	4.22501i	−0.536702	−	0.174385i	−0.564812	+	0.825220i	$0.691051\pi$
$588$	−1.73006	−	0.0830614i	−0.0713464	−	0.00342540i
$589$	20.4013	−	28.0799i	0.840620	−	1.15701i
$590$	7.03831	−	21.6617i	0.289763	−	0.891798i
$591$	7.87134	+	6.31712i	0.323783	+	0.259852i
$592$	0.655867	−	0.476515i	0.0269560	−	0.0195847i
$593$	−25.6012			−1.05132			−0.525659	−	0.850696i	$-0.676181\pi$
$593$	−25.6012			−1.05132			−0.525659	+	0.850696i	$0.676181\pi$
$594$	−8.86487	−	14.7788i	−0.363730	−	0.606383i
$595$	6.58234			0.269849
$596$	−8.85496	+	6.43351i	−0.362713	+	0.263527i
$597$	28.5002	+	22.8727i	1.16643	+	0.936119i
$598$	3.01720	−	9.28598i	0.123382	−	0.379732i
$599$	−12.9678	+	17.8486i	−0.529848	+	0.729273i	−0.987107	−	0.160060i	$-0.948831\pi$
$599$	−12.9678	+	17.8486i	−0.529848	+	0.729273i	0.457259	+	0.889333i	$0.348831\pi$
$600$	10.7590	+	0.516546i	0.439232	+	0.0210879i
$601$	−12.9783	−	4.21689i	−0.529394	−	0.172011i	0.0321101	−	0.999484i	$-0.489777\pi$
$601$	−12.9783	−	4.21689i	−0.529394	−	0.172011i	−0.561505	+	0.827474i	$0.689777\pi$
$602$	2.14621	+	6.60535i	0.0874729	+	0.269214i
$603$	−0.189342	−	0.853884i	−0.00771060	−	0.0347728i
$604$		−	14.2656i		−	0.580461i
$605$	−4.11070	−	36.6140i	−0.167124	−	1.48857i
$606$	−23.8396	+	15.6307i	−0.968416	+	0.634953i
$607$	1.91867	+	2.64082i	0.0778764	+	0.107188i	0.846178	−	0.532900i	$-0.178898\pi$
$607$	1.91867	+	2.64082i	0.0778764	+	0.107188i	−0.768302	+	0.640088i	$0.778898\pi$
$608$	5.05108	−	1.64119i	0.204848	−	0.0665592i
$609$	−5.32175	+	1.45100i	−0.215648	+	0.0587977i
$610$	−41.7363	−	30.3232i	−1.68985	−	1.22775i
$611$	−10.1858	−	7.40043i	−0.412074	−	0.299389i
$612$	4.41571	+	3.90634i	0.178495	+	0.157904i
$613$	−31.9471	+	10.3802i	−1.29033	+	0.419254i	−0.872208	−	0.489136i	$-0.837312\pi$
$613$	−31.9471	+	10.3802i	−1.29033	+	0.419254i	−0.418124	+	0.908390i	$0.637312\pi$
$614$	10.5200	+	14.4795i	0.424552	+	0.584345i
$615$	26.9000	+	41.0274i	1.08471	+	1.65438i
$616$	−1.19953	−	3.09211i	−0.0483305	−	0.124585i
$617$		−	43.6916i		−	1.75896i	−0.475940	−	0.879478i	$-0.657892\pi$
$617$		−	43.6916i		−	1.75896i	0.475940	−	0.879478i	$-0.342108\pi$
$618$	6.54056	−	17.2647i	0.263100	−	0.694488i
$619$	−1.99688	−	6.14575i	−0.0802612	−	0.247019i	0.902872	−	0.429909i	$-0.141455\pi$
$619$	−1.99688	−	6.14575i	−0.0802612	−	0.247019i	−0.983133	+	0.182891i	$0.941455\pi$
$620$	20.8181	+	6.76421i	0.836075	+	0.271657i
$621$	15.3358	+	7.56150i	0.615406	+	0.303433i
$622$	11.8599	−	16.3237i	0.475538	−	0.654521i
$623$	−2.75010	+	8.46392i	−0.110180	+	0.339100i
$624$	3.21670	−	4.00811i	0.128771	−	0.160453i
$625$	14.0933	−	10.2394i	0.563731	−	0.409574i
$626$	6.71621			0.268434
$627$	30.5085	−	0.241865i	1.21839	−	0.00965915i
$628$	20.1725			0.804972
$629$	−1.28891	+	0.936447i	−0.0513921	+	0.0373386i
$630$	10.0021	+	0.962640i	0.398495	+	0.0383525i
$631$	13.4126	−	41.2797i	0.533946	−	1.64332i	−0.211969	−	0.977276i	$-0.567988\pi$
$631$	13.4126	−	41.2797i	0.533946	−	1.64332i	0.745915	−	0.666041i	$-0.232012\pi$
$632$	0.656580	−	0.903705i	0.0261173	−	0.0359474i
$633$	1.54483	−	32.1768i	0.0614015	−	1.27891i
$634$	16.8391	+	5.47134i	0.668765	+	0.217295i
$635$	−14.6838	−	45.1922i	−0.582710	−	1.79340i
$636$	−19.7877	−	7.49636i	−0.784632	−	0.297250i
$637$		−	2.96716i		−	0.117563i
$638$	−6.67614	−	8.18491i	−0.264311	−	0.324044i
$639$	−25.1815	−	10.9479i	−0.996163	−	0.433091i
$640$	1.96876	+	2.70976i	0.0778220	+	0.107113i
$641$	−15.2776	+	4.96400i	−0.603429	+	0.196066i	−0.594769	−	0.803896i	$-0.702757\pi$
$641$	−15.2776	+	4.96400i	−0.603429	+	0.196066i	−0.00866002	+	0.999963i	$0.502757\pi$
$642$	−0.177123	−	0.649621i	−0.00699048	−	0.0256385i
$643$	−5.78826	−	4.20542i	−0.228267	−	0.165846i	0.467773	−	0.883849i	$-0.345056\pi$
$643$	−5.78826	−	4.20542i	−0.228267	−	0.165846i	−0.696040	+	0.718003i	$0.745056\pi$
$644$	2.66218	+	1.93419i	0.104905	+	0.0762177i
$645$	−10.5991	−	38.8734i	−0.417337	−	1.53064i
$646$	−9.92636	+	3.22527i	−0.390547	+	0.126897i
$647$	−0.103256	−	0.142120i	−0.00405941	−	0.00558730i	0.806982	−	0.590575i	$-0.201099\pi$
$647$	−0.103256	−	0.142120i	−0.00405941	−	0.00558730i	−0.811042	+	0.584988i	$0.801099\pi$
$648$	6.13858	+	6.58163i	0.241146	+	0.258551i
$649$	22.5180	−	1.26010i	0.883909	−	0.0494634i
$650$			18.4523i			0.723759i
$651$	10.5852	+	4.01011i	0.414867	+	0.157168i
$652$	−1.83150	−	5.63678i	−0.0717271	−	0.220753i
$653$	12.1656	+	3.95285i	0.476077	+	0.154687i	0.537220	−	0.843442i	$-0.319474\pi$
$653$	12.1656	+	3.95285i	0.476077	+	0.154687i	−0.0611426	+	0.998129i	$0.519474\pi$
$654$	−0.0263013	+	0.547820i	−0.00102846	+	0.0214215i
$655$	−14.4817	+	19.9324i	−0.565849	+	0.778824i
$656$	−2.61320	+	8.04261i	−0.102028	+	0.314011i
$657$	−3.74453	+	38.9068i	−0.146088	+	1.51790i
$658$	3.43285	−	2.49411i	0.133826	−	0.0972306i
$659$	−9.68624			−0.377322			−0.188661	−	0.982042i	$-0.560415\pi$
$659$	−9.68624			−0.377322			−0.188661	+	0.982042i	$0.560415\pi$
$660$	6.09072	+	18.2517i	0.237081	+	0.710447i
$661$	7.90856			0.307607			0.153804	−	0.988101i	$-0.450848\pi$
$661$	7.90856			0.307607			0.153804	+	0.988101i	$0.450848\pi$
$662$	−16.9641	+	12.3252i	−0.659330	+	0.479031i
$663$	−6.32145	+	7.87673i	−0.245505	+	0.305907i
$664$	0.193175	−	0.594531i	0.00749664	−	0.0230723i
$665$	−10.4561	+	14.3916i	−0.405471	+	0.558082i
$666$	−2.09550	+	1.23447i	−0.0811991	+	0.0478349i
$667$	9.96670	+	3.23838i	0.385912	+	0.125390i
$668$	−1.35785	−	4.17904i	−0.0525369	−	0.161692i
$669$	−0.585349	+	1.54511i	−0.0226309	+	0.0597374i
$670$			0.976504i			0.0377257i
$671$	13.0465	−	49.3891i	0.503653	−	1.90665i
$672$	0.949704	+	1.44847i	0.0366356	+	0.0558759i
$673$	−17.6357	−	24.2735i	−0.679808	−	0.935675i	0.320124	−	0.947376i	$-0.396276\pi$
$673$	−17.6357	−	24.2735i	−0.679808	−	0.935675i	−0.999932	+	0.0117004i	$0.996276\pi$
$674$	−15.4283	+	5.01296i	−0.594276	+	0.193092i
$675$	−31.9799	−	4.63466i	−1.23091	−	0.178388i
$676$	−3.39460	−	2.46632i	−0.130561	−	0.0948584i
$677$	6.31637	+	4.58911i	0.242758	+	0.176374i	0.702511	−	0.711673i	$-0.252062\pi$
$677$	6.31637	+	4.58911i	0.242758	+	0.176374i	−0.459753	+	0.888047i	$0.652062\pi$
$678$	31.2401	−	8.51779i	1.19977	−	0.327124i
$679$	−8.36056	+	2.71651i	−0.320849	+	0.104250i
$680$	−3.86900	−	5.32522i	−0.148369	−	0.204213i
$681$	−3.41930	+	2.24190i	−0.131028	+	0.0859100i
$682$	1.21103	+	21.6410i	0.0463727	+	0.828679i
$683$		−	47.5654i		−	1.82004i	−0.414567	−	0.910019i	$-0.636067\pi$
$683$		−	47.5654i		−	1.82004i	0.414567	−	0.910019i	$-0.363933\pi$
$684$	−15.5552	+	3.44925i	−0.594768	+	0.131885i
$685$	−17.1836	−	52.8857i	−0.656552	−	2.02066i
$686$	0.951057	+	0.309017i	0.0363115	+	0.0117983i
$687$	17.3355	+	0.832293i	0.661392	+	0.0317540i
$688$	4.08233	−	5.61884i	0.155637	−	0.214216i
$689$	11.2016	−	34.4749i	0.426746	−	1.31339i
$690$	−14.8886	−	11.9488i	−0.566798	−	0.454882i
$691$	13.4565	−	9.77672i	0.511909	−	0.371924i	−0.301638	−	0.953423i	$-0.597533\pi$
$691$	13.4565	−	9.77672i	0.511909	−	0.371924i	0.813547	+	0.581499i	$0.197533\pi$
$692$	−2.29751			−0.0873380
$693$	2.69336	+	9.57840i	0.102312	+	0.363853i
$694$	−14.5843			−0.553612
$695$	−43.7193	+	31.7639i	−1.65837	+	1.20487i
$696$	4.30193	+	3.45251i	0.163064	+	0.130867i
$697$	5.13546	−	15.8053i	0.194519	−	0.598669i
$698$	2.85262	−	3.92630i	0.107973	−	0.148613i
$699$	−0.531431	−	0.0255144i	−0.0201006	−	0.000965043i
$700$	−5.91447	−	1.92173i	−0.223546	−	0.0726344i
$701$	4.83599	+	14.8836i	0.182653	+	0.562147i	0.999900	−	0.0141399i	$-0.00450101\pi$
$701$	4.83599	+	14.8836i	0.182653	+	0.562147i	−0.817247	+	0.576287i	$0.804501\pi$
$702$	−10.7577	+	11.0445i	−0.406022	+	0.416850i
$703$		−	4.30562i		−	0.162390i
$704$	−1.79650	+	2.78794i	−0.0677082	+	0.105074i
$705$	−20.5864	+	13.4977i	−0.775328	+	0.508352i
$706$	15.5439	+	21.3943i	0.585001	+	0.805185i
$707$	15.6529	−	5.08594i	0.588689	−	0.191277i
$708$	−11.3632	+	3.09825i	−0.427056	+	0.116439i
$709$	−18.0240	−	13.0952i	−0.676907	−	0.491802i	0.195423	−	0.980719i	$-0.437392\pi$
$709$	−18.0240	−	13.0952i	−0.676907	−	0.491802i	−0.872330	+	0.488917i	$0.837392\pi$
$710$	24.8019	+	18.0196i	0.930799	+	0.676265i
$711$	−2.22041	+	2.50994i	−0.0832718	+	0.0941302i
$712$	8.46392	−	2.75010i	0.317199	−	0.103064i
$713$	−12.6404	−	17.3980i	−0.473385	−	0.651559i
$714$	−1.86636	−	2.84653i	−0.0698466	−	0.106529i
$715$	−30.7305	+	11.9214i	−1.14926	+	0.445834i
$716$		−	13.1703i		−	0.492197i
$717$	10.1981	−	26.9192i	0.380854	−	1.00532i
$718$	−3.58878	−	11.0451i	−0.133932	−	0.412201i
$719$	23.5096	+	7.63874i	0.876761	+	0.284877i	0.712612	−	0.701559i	$-0.247512\pi$
$719$	23.5096	+	7.63874i	0.876761	+	0.284877i	0.164149	+	0.986436i	$0.447512\pi$
$720$	−5.10032	−	8.65773i	−0.190078	−	0.322655i
$721$	−6.26525	+	8.62338i	−0.233330	+	0.321151i
$722$	2.84508	−	8.75627i	0.105883	−	0.325875i
$723$	22.8698	−	28.4965i	0.850537	−	1.05980i
$724$	−21.1736	+	15.3835i	−0.786912	+	0.571725i
$725$	−19.8050			−0.735538
$726$	−14.6681	+	12.1592i	−0.544385	+	0.451270i
$727$	36.8818			1.36787			0.683935	−	0.729543i	$-0.260267\pi$
$727$	36.8818			1.36787			0.683935	+	0.729543i	$0.260267\pi$
$728$	−2.40048	+	1.74405i	−0.0889679	+	0.0646389i
$729$	−16.4395	−	21.4183i	−0.608869	−	0.793271i
$730$	13.4854	−	41.5037i	0.499116	−	1.53612i
$731$	−8.02258	+	11.0421i	−0.296726	+	0.408408i
$732$	−1.27933	+	26.6466i	−0.0472853	+	0.984888i
$733$	−24.3745	−	7.91975i	−0.900292	−	0.292523i	−0.177934	−	0.984042i	$-0.556941\pi$
$733$	−24.3745	−	7.91975i	−0.900292	−	0.292523i	−0.722357	+	0.691520i	$0.756941\pi$
$734$	5.23853	+	16.1225i	0.193358	+	0.595094i
$735$	−5.42516	−	2.05527i	−0.200110	−	0.0758098i
$736$		−	3.29064i		−	0.121295i
$737$	−0.901477	+	0.349713i	−0.0332063	+	0.0128818i
$738$	10.1150	−	23.2658i	0.372339	−	0.856426i
$739$	−15.6277	−	21.5096i	−0.574873	−	0.791244i	0.418249	−	0.908332i	$-0.362644\pi$
$739$	−15.6277	−	21.5096i	−0.574873	−	0.791244i	−0.993122	+	0.117088i	$0.962644\pi$
$740$	2.58249	−	0.839102i	0.0949342	−	0.0308460i
$741$	−7.17997	−	26.3335i	−0.263763	−	0.967385i
$742$	9.88356	+	7.18083i	0.362837	+	0.263616i
$743$	11.0261	+	8.01096i	0.404510	+	0.293894i	0.771375	−	0.636380i	$-0.219569\pi$
$743$	11.0261	+	8.01096i	0.404510	+	0.293894i	−0.366866	+	0.930274i	$0.619569\pi$
$744$	−2.97759	−	10.9207i	−0.109164	−	0.400372i
$745$	−34.8666	+	11.3288i	−1.27741	+	0.415057i
$746$	10.3088	+	14.1888i	0.377432	+	0.519490i
$747$	−0.747729	+	1.71987i	−0.0273580	+	0.0629268i
$748$	3.53048	−	5.47884i	0.129087	−	0.200326i
$749$			0.388750i			0.0142046i
$750$	6.61239	+	2.50504i	0.241450	+	0.0914712i
$751$	12.3775	+	38.0942i	0.451663	+	1.39008i	0.875009	+	0.484107i	$0.160856\pi$
$751$	12.3775	+	38.0942i	0.451663	+	1.39008i	−0.423346	+	0.905968i	$0.639144\pi$
$752$	−4.03556	−	1.31123i	−0.147162	−	0.0478157i
$753$	0.145886	−	3.03860i	0.00531637	−	0.110733i
$754$	−5.55424	+	7.64476i	−0.202274	+	0.278406i
$755$	14.7655	−	45.4435i	0.537371	−	1.65386i
$756$	−2.41972	−	4.59837i	−0.0880042	−	0.167241i
$757$	20.4083	−	14.8275i	0.741751	−	0.538913i	−0.151508	−	0.988456i	$-0.548413\pi$
$757$	20.4083	−	14.8275i	0.741751	−	0.538913i	0.893259	+	0.449543i	$0.148413\pi$
$758$	−16.0375			−0.582507
$759$	5.69873	−	18.0238i	0.206851	−	0.654223i
$760$	17.7890			0.645275
$761$	−31.2556	+	22.7085i	−1.13301	+	0.823183i	−0.986131	−	0.165971i	$-0.946924\pi$
$761$	−31.2556	+	22.7085i	−1.13301	+	0.823183i	−0.146883	+	0.989154i	$0.546924\pi$
$762$	−15.3799	+	19.1638i	−0.557154	+	0.694232i
$763$	0.0978498	−	0.301151i	0.00354240	−	0.0109024i
$764$	6.39575	−	8.80299i	0.231390	−	0.318481i
$765$	10.0231	+	17.0141i	0.362387	+	0.615148i
$766$	−5.82073	−	1.89127i	−0.210311	−	0.0683343i
$767$	−6.23499	−	19.1893i	−0.225133	−	0.692887i
$768$	0.613613	−	1.61972i	0.0221419	−	0.0584465i
$769$		−	22.9318i		−	0.826942i	−0.910517	−	0.413471i	$-0.864316\pi$
$769$		−	22.9318i		−	0.826942i	0.910517	−	0.413471i	$-0.135684\pi$
$770$	−0.620680	−	11.0915i	−0.0223678	−	0.399711i
$771$	0.329370	+	0.502347i	0.0118620	+	0.0180916i
$772$	6.32425	+	8.70458i	0.227615	+	0.313285i
$773$	5.72599	−	1.86049i	0.205949	−	0.0669170i	−0.204226	−	0.978924i	$-0.565468\pi$
$773$	5.72599	−	1.86049i	0.205949	−	0.0669170i	0.410175	+	0.912007i	$0.365468\pi$
$774$	−13.8055	+	15.6057i	−0.496229	+	0.560936i
$775$	32.8797	+	23.8885i	1.18107	+	0.858100i
$776$	7.11192	+	5.16711i	0.255303	+	0.185489i
$777$	1.35471	−	0.369370i	0.0486001	−	0.0132511i
$778$	16.9391	−	5.50385i	0.607296	−	0.197323i
$779$	26.3990	+	36.3350i	0.945841	+	1.30184i
$780$	14.3954	−	9.43851i	0.515439	−	0.337953i
$781$	−7.75291	+	29.3496i	−0.277421	+	1.05021i
$782$			6.46675i			0.231251i
$783$	−11.8542	−	11.5463i	−0.423634	−	0.412630i
$784$	−0.309017	−	0.951057i	−0.0110363	−	0.0339663i
$785$	64.2600	+	20.8793i	2.29354	+	0.745216i
$786$	12.7259	+	0.610981i	0.453918	+	0.0217930i
$787$	21.3866	−	29.4361i	0.762350	−	1.04929i	−0.234665	−	0.972076i	$-0.575399\pi$
$787$	21.3866	−	29.4361i	0.762350	−	1.04929i	0.997015	−	0.0772087i	$-0.0246008\pi$
$788$	−1.80066	+	5.54187i	−0.0641459	+	0.197421i
$789$	29.5998	+	23.7553i	1.05378	+	0.845710i
$790$	3.02692	−	2.19918i	0.107693	−	0.0782434i
$791$	−18.6949			−0.664714
$792$	6.16597	−	7.80902i	0.219098	−	0.277481i
$793$	−45.7007			−1.62288
$794$	23.4288	−	17.0221i	0.831459	−	0.604090i
$795$	−55.2750	−	44.3608i	−1.96040	−	1.57332i
$796$	−6.51975	+	20.0657i	−0.231086	+	0.711211i
$797$	−31.1246	+	42.8393i	−1.10249	+	1.51745i	−0.270448	+	0.962734i	$0.587172\pi$
$797$	−31.1246	+	42.8393i	−1.10249	+	1.51745i	−0.832042	+	0.554713i	$0.812828\pi$
$798$	9.18836	+	0.441141i	0.325265	+	0.0156162i
$799$	7.93066	+	2.57683i	0.280567	+	0.0911616i
$800$	1.92173	+	5.91447i	0.0679433	+	0.209108i
$801$	−26.0654	+	5.77979i	−0.920975	+	0.204219i
$802$			10.7537i			0.379726i
$803$	43.1444	−	2.41435i	1.52253	−	0.0852007i
$804$	0.422289	−	0.276878i	0.0148930	−	0.00976474i
$805$	6.47847	+	8.91685i	0.228336	+	0.314278i
$806$	18.4420	−	5.99218i	0.649592	−	0.211065i
$807$	49.6381	−	13.5341i	1.74734	−	0.476423i
$808$	−13.3152	−	9.67404i	−0.468426	−	0.340332i
$809$	18.0212	+	13.0932i	0.633592	+	0.460331i	0.857643	−	0.514246i	$-0.171928\pi$
$809$	18.0212	+	13.0932i	0.633592	+	0.460331i	−0.224051	+	0.974577i	$0.571928\pi$
$810$	12.7423	+	27.3196i	0.447720	+	0.959912i
$811$	4.56271	−	1.48251i	0.160218	−	0.0520581i	−0.227810	−	0.973706i	$-0.573156\pi$
$811$	4.56271	−	1.48251i	0.160218	−	0.0520581i	0.388028	+	0.921648i	$0.373156\pi$
$812$	−1.87190	−	2.57646i	−0.0656910	−	0.0904159i
$813$	27.8871	+	42.5328i	0.978043	+	1.49169i
$814$	1.69949	+	2.08357i	0.0595671	+	0.0730289i
$815$		−	19.8518i		−	0.695377i
$816$	−1.20587	+	3.18306i	−0.0422139	+	0.111429i
$817$	−11.3985	−	35.0811i	−0.398784	−	1.22733i
$818$	13.5253	+	4.39465i	0.472902	+	0.153655i
$819$	7.66958	−	4.51819i	0.267997	−	0.157878i
$820$	−16.6488	+	22.9151i	−0.581402	+	0.800231i
$821$	−5.49098	+	16.8995i	−0.191636	+	0.589796i	0.808363	+	0.588684i	$0.200354\pi$
$821$	−5.49098	+	16.8995i	−0.191636	+	0.589796i	−0.999999	+	0.00111177i	$0.999646\pi$
$822$	−17.9981	+	22.4263i	−0.627757	+	0.782205i
$823$	−36.8421	+	26.7674i	−1.28424	+	0.933052i	−0.999672	−	0.0256052i	$-0.991849\pi$
$823$	−36.8421	+	26.7674i	−1.28424	+	0.933052i	−0.284564	+	0.958657i	$0.591849\pi$
$824$	10.6591			0.371327
$825$	0.283207	+	35.7234i	0.00986001	+	1.24373i
$826$	6.80005			0.236604
$827$	−22.6418	+	16.4502i	−0.787333	+	0.572031i	−0.907171	−	0.420762i	$-0.861763\pi$
$827$	−22.6418	+	16.4502i	−0.787333	+	0.572031i	0.119838	+	0.992794i	$0.461763\pi$
$828$	−0.945737	+	9.82651i	−0.0328666	+	0.341495i
$829$	−3.50843	+	10.7978i	−0.121853	+	0.375024i	−0.993315	−	0.115439i	$-0.963173\pi$
$829$	−3.50843	+	10.7978i	−0.121853	+	0.375024i	0.871462	+	0.490464i	$0.163173\pi$
$830$	1.23073	−	1.69395i	0.0427191	−	0.0587978i
$831$	0.865395	−	18.0250i	0.0300202	−	0.625281i
$832$	2.82194	+	0.916903i	0.0978331	+	0.0317879i
$833$	0.607279	+	1.86901i	0.0210410	+	0.0647575i
$834$	26.1325	+	9.90003i	0.904893	+	0.342810i
$835$		−	14.7178i		−	0.509332i
$836$	6.37073	+	16.4222i	0.220336	+	0.567975i
$837$	5.75305	+	33.4672i	0.198854	+	1.15679i
$838$	−17.8870	−	24.6193i	−0.617895	−	0.850460i
$839$	−11.9547	+	3.88433i	−0.412724	+	0.134102i	−0.508017	−	0.861347i	$-0.669621\pi$
$839$	−11.9547	+	3.88433i	−0.412724	+	0.134102i	0.0952931	+	0.995449i	$0.469621\pi$
$840$	1.52608	+	5.59711i	0.0526548	+	0.193118i
$841$	15.2563	+	11.0844i	0.526080	+	0.382220i
$842$	29.2346	+	21.2402i	1.00749	+	0.731985i
$843$	3.89599	+	14.2890i	0.134185	+	0.492141i
$844$	17.6884	−	5.74730i	0.608859	−	0.197830i
$845$	−8.26082	−	11.3700i	−0.284181	−	0.391141i
$846$	11.6741	+	5.07543i	0.401365	+	0.174497i
$847$	10.0171	−	4.54517i	0.344190	−	0.156174i
$848$		−	12.2168i		−	0.419525i
$849$	42.7473	+	16.1944i	1.46708	+	0.555790i
$850$	−3.77657	−	11.6231i	−0.129535	−	0.398669i
$851$	−2.53714	−	0.824367i	−0.0869721	−	0.0282589i
$852$	0.760244	−	15.8349i	0.0260455	−	0.542493i
$853$	−9.04093	+	12.4438i	−0.309556	+	0.426067i	−0.935243	−	0.354007i	$-0.884819\pi$
$853$	−9.04093	+	12.4438i	−0.309556	+	0.426067i	0.625687	+	0.780074i	$0.284819\pi$
$854$	4.75953	−	14.6483i	0.162868	−	0.501256i
$855$	−53.1215	−	5.11260i	−1.81672	−	0.174847i
$856$	0.314505	−	0.228502i	0.0107496	−	0.00781002i
$857$	18.5694			0.634320			0.317160	−	0.948372i	$-0.397271\pi$
$857$	18.5694			0.634320			0.317160	+	0.948372i	$0.397271\pi$
$858$	13.8687	+	9.90919i	0.473470	+	0.338294i
$859$	−38.4864			−1.31314			−0.656570	−	0.754265i	$-0.727993\pi$
$859$	−38.4864			−1.31314			−0.656570	+	0.754265i	$0.727993\pi$
$860$	18.8201	−	13.6736i	0.641759	−	0.466265i
$861$	−9.16769	+	11.4232i	−0.312434	+	0.389303i
$862$	8.20939	−	25.2659i	0.279613	−	0.860560i
$863$	18.3519	−	25.2593i	0.624707	−	0.859836i	−0.372978	−	0.927840i	$-0.621663\pi$
$863$	18.3519	−	25.2593i	0.624707	−	0.859836i	0.997685	+	0.0680043i	$0.0216632\pi$
$864$	−2.29788	+	4.66044i	−0.0781756	+	0.158552i
$865$	−7.31875	−	2.37801i	−0.248845	−	0.0808546i
$866$	0.366960	+	1.12939i	0.0124698	+	0.0383781i
$867$	−8.06165	+	21.2798i	−0.273788	+	0.722701i
$868$			6.53523i			0.221820i
$869$	3.11424	+	2.00676i	0.105643	+	0.0680748i
$870$	10.1304	+	15.4507i	0.343453	+	0.523828i
$871$	0.508464	+	0.699841i	0.0172286	+	0.0237132i
$872$	−0.301151	+	0.0978498i	−0.0101983	+	0.00331361i
$873$	−19.7526	−	17.4740i	−0.668524	−	0.591406i
$874$	−14.1389	−	10.2725i	−0.478255	−	0.347473i
$875$	−3.30276	−	2.39960i	−0.111654	−	0.0811212i
$876$	−21.7719	+	5.93623i	−0.735604	+	0.200567i
$877$	8.44949	−	2.74541i	0.285319	−	0.0927058i	−0.162861	−	0.986649i	$-0.552072\pi$
$877$	8.44949	−	2.74541i	0.285319	−	0.0927058i	0.448180	+	0.893943i	$0.352072\pi$
$878$	−15.2512	−	20.9914i	−0.514701	−	0.708426i
$879$	−23.5965	+	15.4713i	−0.795889	+	0.521834i
$880$	−8.60841	+	7.02158i	−0.290189	+	0.236697i
$881$		−	16.7076i		−	0.562893i	−0.959577	−	0.281446i	$-0.909186\pi$
$881$		−	16.7076i		−	0.562893i	0.959577	−	0.281446i	$-0.0908142\pi$
$882$	0.649451	+	2.92886i	0.0218682	+	0.0986198i
$883$	−2.68601	−	8.26670i	−0.0903916	−	0.278197i	0.895634	−	0.444792i	$-0.146723\pi$
$883$	−2.68601	−	8.26670i	−0.0903916	−	0.278197i	−0.986025	+	0.166596i	$0.946723\pi$
$884$	−5.54567	−	1.80190i	−0.186521	−	0.0606043i
$885$	−39.4046	−	1.89185i	−1.32457	−	0.0635937i
$886$	21.6411	−	29.7864i	0.727047	−	1.00069i
$887$	−4.92600	+	15.1607i	−0.165399	+	0.509046i	−0.999065	−	0.0432224i	$-0.986238\pi$
$887$	−4.92600	+	15.1607i	−0.165399	+	0.509046i	0.833666	+	0.552268i	$0.186238\pi$
$888$	−1.09511	−	0.878876i	−0.0367494	−	0.0294932i
$889$	11.4773	−	8.33877i	0.384937	−	0.279673i
$890$	29.8085			0.999182
$891$	−20.6572	+	21.5472i	−0.692041	+	0.721858i
$892$	−0.953938			−0.0319402
$893$	−18.2319	+	13.2463i	−0.610108	+	0.443269i
$894$	14.7852	+	11.8658i	0.494492	+	0.396853i
$895$	13.6318	−	41.9542i	0.455659	−	1.40237i
$896$	−0.587785	+	0.809017i	−0.0196365	+	0.0270274i
$897$	−16.8920	−	0.811000i	−0.564009	−	0.0270785i
$898$	−6.02133	−	1.95645i	−0.200934	−	0.0652876i
$899$	6.43144	+	19.7939i	0.214501	+	0.660165i
$900$	−4.03883	−	18.2141i	−0.134628	−	0.607137i
$901$			24.0083i			0.799833i
$902$	−27.1169	−	7.16311i	−0.902894	−	0.238506i
$903$	10.0600	−	6.59596i	0.334776	−	0.219500i
$904$	10.9886	+	15.1245i	0.365475	+	0.503033i
$905$	−83.3716	+	27.0891i	−2.77137	+	0.900471i
$906$	−23.8386	+	6.49973i	−0.791985	+	0.215939i
$907$	−8.54347	−	6.20720i	−0.283681	−	0.206107i	0.436840	−	0.899539i	$-0.356098\pi$
$907$	−8.54347	−	6.20720i	−0.283681	−	0.206107i	−0.720522	+	0.693433i	$0.756098\pi$
$908$	−1.90979	−	1.38755i	−0.0633787	−	0.0460473i
$909$	36.9815	+	32.7154i	1.22660	+	1.08510i
$910$	−9.45195	+	3.07113i	−0.313329	+	0.101807i
$911$	−25.2711	−	34.7828i	−0.837271	−	1.15240i	−0.986526	−	0.163605i	$-0.947688\pi$
$911$	−25.2711	−	34.7828i	−0.837271	−	1.15240i	0.149255	−	0.988799i	$-0.452312\pi$
$912$	−5.04390	−	7.69284i	−0.167020	−	0.254735i
$913$	2.00455	+	0.529517i	0.0663411	+	0.0175244i
$914$			4.29104i			0.141935i
$915$	−31.6556	+	83.5593i	−1.04650	+	2.76238i
$916$	3.09641	+	9.52978i	0.102308	+	0.314873i
$917$	−6.99576	−	2.27306i	−0.231020	−	0.0750630i
$918$	4.51579	−	9.15869i	0.149043	−	0.302282i
$919$	−14.3381	+	19.7347i	−0.472969	+	0.650986i	−0.977135	−	0.212621i	$-0.931800\pi$
$919$	−14.3381	+	19.7347i	−0.472969	+	0.650986i	0.504166	+	0.863607i	$0.331800\pi$
$920$	3.40594	−	10.4824i	0.112290	−	0.345594i
$921$	19.4029	−	24.1766i	0.639346	−	0.796646i
$922$	−0.641624	+	0.466167i	−0.0211308	+	0.0153524i
$923$	27.1578			0.893910
$924$	−4.62053	+	3.41331i	−0.152004	+	0.112290i
$925$	5.04159			0.165766
$926$	−22.3152	+	16.2129i	−0.733322	+	0.532790i
$927$	−31.8302	−	3.06344i	−1.04544	−	0.100617i
$928$	−0.984118	+	3.02880i	−0.0323053	+	0.0994254i
$929$	−8.39883	+	11.5600i	−0.275557	+	0.379271i	−0.924256	−	0.381774i	$-0.875313\pi$
$929$	−8.39883	+	11.5600i	−0.275557	+	0.379271i	0.648699	+	0.761045i	$0.275313\pi$
$930$	1.81817	−	37.8700i	0.0596201	−	1.24181i
$931$	−5.05108	−	1.64119i	−0.165542	−	0.0537880i
$932$	−0.0949223	−	0.292141i	−0.00310928	−	0.00956939i
$933$	−32.6814	−	12.3810i	−1.06994	−	0.405336i
$934$			2.24848i			0.0735726i
$935$	16.9172	−	13.7988i	0.553252	−	0.451268i
$936$	−8.16336	−	3.54909i	−0.266828	−	0.116006i
$937$	32.1674	+	44.2746i	1.05086	+	1.44639i	0.888059	+	0.459729i	$0.152053\pi$
$937$	32.1674	+	44.2746i	1.05086	+	1.44639i	0.162803	+	0.986659i	$0.447947\pi$
$938$	−0.277272	+	0.0900912i	−0.00905326	+	0.00294158i
$939$	−3.06005	−	11.2231i	−0.0998608	−	0.366253i
$940$	−11.4982	−	8.35391i	−0.375029	−	0.272474i
$941$	1.77805	+	1.29183i	0.0579629	+	0.0421125i	0.616389	−	0.787441i	$-0.288595\pi$
$941$	1.77805	+	1.29183i	0.0579629	+	0.0421125i	−0.558427	+	0.829554i	$0.688595\pi$
$942$	−9.19104	−	33.7093i	−0.299460	−	1.09831i
$943$	26.4653	−	8.59910i	0.861829	−	0.280025i
$944$	−3.99697	−	5.50136i	−0.130090	−	0.179054i
$945$	−2.94857	−	17.1527i	−0.0959169	−	0.557977i
$946$	19.3630	+	12.4772i	0.629545	+	0.405668i
$947$		−	13.1313i		−	0.426709i	−0.976975	−	0.213354i	$-0.931561\pi$
$947$		−	13.1313i		−	0.426709i	0.976975	−	0.213354i	$-0.0684389\pi$
$948$	−1.80929	−	0.685431i	−0.0587629	−	0.0222618i
$949$	−11.9462	−	36.7667i	−0.387791	−	1.19350i
$950$	31.4118	+	10.2063i	1.01913	+	0.331137i
$951$	1.47066	−	30.6318i	0.0476893	−	0.993304i
$952$	1.15511	−	1.58988i	0.0374375	−	0.0515282i
$953$	17.7408	−	54.6007i	0.574682	−	1.76869i	−0.0625783	−	0.998040i	$-0.519932\pi$
$953$	17.7408	−	54.6007i	0.574682	−	1.76869i	0.637260	−	0.770649i	$-0.280068\pi$
$954$	−3.51112	+	36.4817i	−0.113677	+	1.18114i
$955$	29.4852	−	21.4223i	0.954119	−	0.693208i
$956$	16.6197			0.537519
$957$	−10.6356	+	14.8854i	−0.343800	+	0.481176i
$958$	14.9160			0.481915
$959$	13.4312	−	9.75835i	0.433717	−	0.315114i
$960$	3.63114	−	4.52452i	0.117195	−	0.146028i
$961$	3.61835	−	11.1361i	0.116721	−	0.359231i
$962$	1.41390	−	1.94606i	0.0455859	−	0.0627436i
$963$	−1.00485	+	0.591962i	−0.0323808	+	0.0190757i
$964$	20.0631	+	6.51891i	0.646190	+	0.209960i
$965$	11.1364	+	34.2744i	0.358495	+	1.10333i
$966$	2.01918	−	5.32990i	0.0649660	−	0.171487i
$967$			6.11095i			0.196515i	0.995161	+	0.0982575i	$0.0313269\pi$
$967$			6.11095i			0.196515i	−0.995161	+	0.0982575i	$0.968673\pi$
$968$	−9.56500	−	5.43238i	−0.307431	−	0.174603i
$969$	9.91225	+	15.1179i	0.318427	+	0.485658i
$970$	17.3070	+	23.8210i	0.555694	+	0.764848i
$971$	−0.953745	+	0.309890i	−0.0306071	+	0.00994486i	−0.324281	−	0.945961i	$-0.605122\pi$
$971$	−0.953745	+	0.309890i	−0.0306071	+	0.00994486i	0.293673	+	0.955906i	$0.405122\pi$
$972$	8.20136	−	13.2566i	0.263059	−	0.425206i
$973$	−13.0527	−	9.48331i	−0.418449	−	0.304021i
$974$	−19.5835	−	14.2283i	−0.627496	−	0.455903i
$975$	30.8347	−	8.40726i	0.987501	−	0.269248i
$976$	−14.6483	+	4.75953i	−0.468882	+	0.152349i
$977$	22.0343	+	30.3277i	0.704941	+	0.970268i	0.999891	+	0.0147556i	$0.00469704\pi$
$977$	22.0343	+	30.3277i	0.704941	+	0.970268i	−0.294950	+	0.955513i	$0.595303\pi$
$978$	−8.58488	+	5.62877i	−0.274514	+	0.179988i
$979$	10.6752	+	27.5182i	0.341182	+	0.879485i
$980$		−	3.34945i		−	0.106994i
$981$	0.927419	−	0.205648i	0.0296102	−	0.00656583i
$982$	−2.61492	−	8.04788i	−0.0834453	−	0.256818i
$983$	2.43633	+	0.791611i	0.0777068	+	0.0252485i	0.347612	−	0.937638i	$-0.386992\pi$
$983$	2.43633	+	0.791611i	0.0777068	+	0.0252485i	−0.269906	+	0.962887i	$0.586992\pi$
$984$	14.6302	+	0.702409i	0.466395	+	0.0223920i
$985$	−11.4721	+	15.7900i	−0.365531	+	0.503110i
$986$	1.93399	−	5.95220i	0.0615907	−	0.189557i
$987$	−5.73186	−	4.60009i	−0.182447	−	0.146423i
$988$	12.7490	−	9.26270i	0.405600	−	0.294686i
$989$	−22.8544			−0.726727
$990$	27.7245	−	18.4938i	0.881141	−	0.587771i
$991$	4.09723			0.130153			0.0650765	−	0.997880i	$-0.479271\pi$
$991$	4.09723			0.130153			0.0650765	+	0.997880i	$0.479271\pi$
$992$	5.28711	−	3.84131i	0.167866	−	0.121962i
$993$	28.3252	+	22.7323i	0.898872	+	0.721388i
$994$	−2.82837	+	8.70482i	−0.0897103	+	0.276100i
$995$	−41.5376	+	57.1716i	−1.31683	+	1.81246i
$996$	−1.08151	−	0.0519240i	−0.0342688	−	0.00164527i
$997$	19.7978	+	6.43271i	0.627004	+	0.203726i	0.605247	−	0.796037i	$-0.293074\pi$
$997$	19.7978	+	6.43271i	0.627004	+	0.203726i	0.0217563	+	0.999763i	$0.493074\pi$
$998$	1.67031	+	5.14067i	0.0528726	+	0.162725i
$999$	3.01762	+	2.93924i	0.0954734	+	0.0929934i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.b.239.3	yes	48
3.2	odd	2		462.2.w.a.239.8	yes	48
11.7	odd	10		462.2.w.a.29.8	✓	48
33.29	even	10	inner	462.2.w.b.29.3	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.29.8	✓	48	11.7	odd	10
462.2.w.a.239.8	yes	48	3.2	odd	2
462.2.w.b.29.3	yes	48	33.29	even	10	inner
462.2.w.b.239.3	yes	48	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:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 - 0.587785i) q^{2} +(-1.35082 - 1.08410i) q^{3} +(0.309017 - 0.951057i) q^{4} +(1.96876 - 2.70976i) q^{5} +(-1.73006 - 0.0830614i) q^{6} +(0.951057 + 0.309017i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(0.649451 + 2.92886i) q^{9} +O(q^{10})\)	\(q+(0.809017 - 0.587785i) q^{2} +(-1.35082 - 1.08410i) q^{3} +(0.309017 - 0.951057i) q^{4} +(1.96876 - 2.70976i) q^{5} +(-1.73006 - 0.0830614i) q^{6} +(0.951057 + 0.309017i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(0.649451 + 2.92886i) q^{9} -3.34945i q^{10} +(3.09211 - 1.19953i) q^{11} +(-1.44847 + 0.949704i) q^{12} +(-1.74405 - 2.40048i) q^{13} +(0.951057 - 0.309017i) q^{14} +(-5.59711 + 1.52608i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(1.58988 + 1.15511i) q^{17} +(2.24696 + 1.98776i) q^{18} +(-5.05108 + 1.64119i) q^{19} +(-1.96876 - 2.70976i) q^{20} +(-0.949704 - 1.44847i) q^{21} +(1.79650 - 2.78794i) q^{22} +3.29064i q^{23} +(-0.613613 + 1.61972i) q^{24} +(-1.92173 - 5.91447i) q^{25} +(-2.82194 - 0.916903i) q^{26} +(2.29788 - 4.66044i) q^{27} +(0.587785 - 0.809017i) q^{28} +(0.984118 - 3.02880i) q^{29} +(-3.63114 + 4.52452i) q^{30} +(-5.28711 + 3.84131i) q^{31} -1.00000 q^{32} +(-5.47730 - 1.73180i) q^{33} +1.96520 q^{34} +(2.70976 - 1.96876i) q^{35} +(2.98620 + 0.287402i) q^{36} +(-0.250519 + 0.771018i) q^{37} +(-3.12174 + 4.29670i) q^{38} +(-0.246457 + 5.13336i) q^{39} +(-3.18552 - 1.03504i) q^{40} +(-2.61320 - 8.04261i) q^{41} +(-1.61972 - 0.613613i) q^{42} +6.94527i q^{43} +(-0.185308 - 3.31144i) q^{44} +(9.21513 + 4.00636i) q^{45} +(1.93419 + 2.66218i) q^{46} +(4.03556 - 1.31123i) q^{47} +(0.455621 + 1.67105i) q^{48} +(0.809017 + 0.587785i) q^{49} +(-5.03115 - 3.65534i) q^{50} +(-0.895385 - 3.28394i) q^{51} +(-2.82194 + 0.916903i) q^{52} +(7.18083 + 9.88356i) q^{53} +(-0.880313 - 5.12104i) q^{54} +(2.83717 - 10.7405i) q^{55} -1.00000i q^{56} +(8.60233 + 3.25891i) q^{57} +(-0.984118 - 3.02880i) q^{58} +(6.46724 + 2.10133i) q^{59} +(-0.278210 + 5.79475i) q^{60} +(9.05317 - 12.4606i) q^{61} +(-2.01950 + 6.21537i) q^{62} +(-0.287402 + 2.98620i) q^{63} +(-0.809017 + 0.587785i) q^{64} -9.93837 q^{65} +(-5.44916 + 1.81842i) q^{66} -0.291541 q^{67} +(1.58988 - 1.15511i) q^{68} +(3.56738 - 4.44507i) q^{69} +(1.03504 - 3.18552i) q^{70} +(-5.37987 + 7.40476i) q^{71} +(2.58482 - 1.52273i) q^{72} +(12.3912 + 4.02614i) q^{73} +(0.250519 + 0.771018i) q^{74} +(-3.81596 + 10.0727i) q^{75} +5.31102i q^{76} +(3.31144 - 0.185308i) q^{77} +(2.81793 + 4.29784i) q^{78} +(0.656580 + 0.903705i) q^{79} +(-3.18552 + 1.03504i) q^{80} +(-8.15643 + 3.80430i) q^{81} +(-6.84145 - 4.97060i) q^{82} +(0.505739 + 0.367441i) q^{83} +(-1.67105 + 0.455621i) q^{84} +(6.26017 - 2.03405i) q^{85} +(4.08233 + 5.61884i) q^{86} +(-4.61290 + 3.02450i) q^{87} +(-2.09634 - 2.57009i) q^{88} +8.89950i q^{89} +(9.81008 - 2.17531i) q^{90} +(-0.916903 - 2.82194i) q^{91} +(3.12958 + 1.01686i) q^{92} +(11.3063 + 0.542826i) q^{93} +(2.49411 - 3.43285i) q^{94} +(-5.49710 + 16.9183i) q^{95} +(1.35082 + 1.08410i) q^{96} +(-7.11192 + 5.16711i) q^{97} +1.00000 q^{98} +(5.52143 + 8.27731i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

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