LMFDB - Embedded newform 165.2.p.a.161.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(41,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 3]))

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

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

chi := DirichletCharacter("165.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.p (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:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - x^{14} + 15x^{12} - 59x^{10} + 104x^{8} - 59x^{6} + 15x^{4} - x^{2} + 1 $ x^16 - x^14 + 15x^12 - 59x^10 + 104x^8 - 59x^6 + 15*x^4 - x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			161.2
Root			$0.280526 - 0.386111i$ of defining polynomial
Character	$\chi$	$=$	165.161
Dual form			165.2.p.a.41.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.453901 - 0.329779i) q^{2} +(1.08779 - 1.34786i) q^{3} +(-0.520762 - 1.60274i) q^{4} +(-0.587785 - 0.809017i) q^{5} +(-0.938242 + 0.253067i) q^{6} +(-0.254663 + 0.0827449i) q^{7} +(-0.638924 + 1.96641i) q^{8} +(-0.633446 - 2.93236i) q^{9} +O(q^{10})$	\(q+(-0.453901 - 0.329779i) q^{2} +(1.08779 - 1.34786i) q^{3} +(-0.520762 - 1.60274i) q^{4} +(-0.587785 - 0.809017i) q^{5} +(-0.938242 + 0.253067i) q^{6} +(-0.254663 + 0.0827449i) q^{7} +(-0.638924 + 1.96641i) q^{8} +(-0.633446 - 2.93236i) q^{9} +0.561053i q^{10} +(-1.79264 + 2.79042i) q^{11} +(-2.72674 - 1.04152i) q^{12} +(1.44781 - 1.99274i) q^{13} +(0.142879 + 0.0464242i) q^{14} +(-1.72982 - 0.0877853i) q^{15} +(-1.78826 + 1.29924i) q^{16} +(3.05095 - 2.21665i) q^{17} +(-0.679508 + 1.53990i) q^{18} +(6.82402 + 2.21726i) q^{19} +(-0.990547 + 1.36337i) q^{20} +(-0.165490 + 0.433258i) q^{21} +(1.73390 - 0.675403i) q^{22} -6.58084i q^{23} +(1.95543 + 3.00021i) q^{24} +(-0.309017 + 0.951057i) q^{25} +(-1.31433 + 0.427051i) q^{26} +(-4.64146 - 2.33598i) q^{27} +(0.265237 + 0.365067i) q^{28} +(-0.678415 - 2.08795i) q^{29} +(0.756220 + 0.610305i) q^{30} +(5.54859 + 4.03129i) q^{31} +5.37536 q^{32} +(1.81109 + 5.45160i) q^{33} -2.11583 q^{34} +(0.216629 + 0.157390i) q^{35} +(-4.36994 + 2.54231i) q^{36} +(0.374036 + 1.15116i) q^{37} +(-2.36623 - 3.25683i) q^{38} +(-1.11103 - 4.11912i) q^{39} +(1.96641 - 0.638924i) q^{40} +(-3.83351 + 11.7983i) q^{41} +(0.217995 - 0.142081i) q^{42} -0.181260i q^{43} +(5.40586 + 1.41998i) q^{44} +(-2.00000 + 2.23607i) q^{45} +(-2.17022 + 2.98705i) q^{46} +(9.04803 + 2.93988i) q^{47} +(-0.194041 + 3.82361i) q^{48} +(-5.60511 + 4.07235i) q^{49} +(0.453901 - 0.329779i) q^{50} +(0.331054 - 6.52349i) q^{51} +(-3.94781 - 1.28272i) q^{52} +(1.15116 - 1.58444i) q^{53} +(1.33641 + 2.59096i) q^{54} +(3.31118 - 0.189896i) q^{55} -0.553638i q^{56} +(10.4116 - 6.78591i) q^{57} +(-0.380627 + 1.17145i) q^{58} +(-5.22194 + 1.69671i) q^{59} +(0.760129 + 2.81817i) q^{60} +(-0.499172 - 0.687052i) q^{61} +(-1.18908 - 3.65961i) q^{62} +(0.403953 + 0.694348i) q^{63} +(1.13663 + 0.825809i) q^{64} -2.46317 q^{65} +(0.975764 - 3.07175i) q^{66} -0.419155 q^{67} +(-5.14152 - 3.73554i) q^{68} +(-8.87005 - 7.15855i) q^{69} +(-0.0464242 - 0.142879i) q^{70} +(-1.47652 - 2.03225i) q^{71} +(6.17094 + 0.627944i) q^{72} +(-7.26034 + 2.35903i) q^{73} +(0.209854 - 0.645864i) q^{74} +(0.945746 + 1.45106i) q^{75} -12.0918i q^{76} +(0.225624 - 0.858947i) q^{77} +(-0.854102 + 2.23607i) q^{78} +(3.27183 - 4.50328i) q^{79} +(2.10222 + 0.683053i) q^{80} +(-8.19749 + 3.71499i) q^{81} +(5.63087 - 4.09106i) q^{82} +(2.09613 - 1.52293i) q^{83} +(0.780580 + 0.0396129i) q^{84} +(-3.58661 - 1.16536i) q^{85} +(-0.0597756 + 0.0822741i) q^{86} +(-3.55223 - 1.35683i) q^{87} +(-4.34175 - 5.30792i) q^{88} -7.27491i q^{89} +(1.64521 - 0.355397i) q^{90} +(-0.203814 + 0.627276i) q^{91} +(-10.5474 + 3.42705i) q^{92} +(11.4693 - 3.09354i) q^{93} +(-3.13740 - 4.31826i) q^{94} +(-2.21726 - 6.82402i) q^{95} +(5.84724 - 7.24523i) q^{96} +(-15.1281 - 10.9912i) q^{97} +3.88714 q^{98} +(9.31807 + 3.48907i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9}+O(q^{10}) $ 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9	$ 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9} + 4 q^{12} - 12 q^{15} - 16 q^{16} + 20 q^{18} + 40 q^{19} + 30 q^{22} - 70 q^{24} + 4 q^{25} - 4 q^{27} - 110 q^{28} - 10 q^{30} + 10 q^{31} + 12 q^{33} + 100 q^{34} + 40 q^{36} - 2 q^{37} - 10 q^{39} + 50 q^{40} - 10 q^{42} - 32 q^{45} - 40 q^{46} + 22 q^{48} + 42 q^{49} - 40 q^{52} + 6 q^{55} + 40 q^{57} - 20 q^{58} + 14 q^{60} - 50 q^{61} + 70 q^{63} + 42 q^{64} + 30 q^{66} - 108 q^{67} - 12 q^{69} + 40 q^{70} - 40 q^{72} - 50 q^{73} + 12 q^{75} + 40 q^{78} - 40 q^{79} - 4 q^{81} + 50 q^{82} - 150 q^{84} - 20 q^{85} + 70 q^{88} - 20 q^{90} + 10 q^{91} - 50 q^{94} + 40 q^{96} - 58 q^{97} + 12 q^{99}+O(q^{100}) $ 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9 + 4 * q^12 - 12 * q^15 - 16 * q^16 + 20 * q^18 + 40 * q^19 + 30 * q^22 - 70 * q^24 + 4 * q^25 - 4 * q^27 - 110 * q^28 - 10 * q^30 + 10 * q^31 + 12 * q^33 + 100 * q^34 + 40 * q^36 - 2 * q^37 - 10 * q^39 + 50 * q^40 - 10 * q^42 - 32 * q^45 - 40 * q^46 + 22 * q^48 + 42 * q^49 - 40 * q^52 + 6 * q^55 + 40 * q^57 - 20 * q^58 + 14 * q^60 - 50 * q^61 + 70 * q^63 + 42 * q^64 + 30 * q^66 - 108 * q^67 - 12 * q^69 + 40 * q^70 - 40 * q^72 - 50 * q^73 + 12 * q^75 + 40 * q^78 - 40 * q^79 - 4 * q^81 + 50 * q^82 - 150 * q^84 - 20 * q^85 + 70 * q^88 - 20 * q^90 + 10 * q^91 - 50 * q^94 + 40 * q^96 - 58 * q^97 + 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$-1$	$1$

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 $

$2$	−0.453901	−	0.329779i	−0.320957	−	0.233189i	0.415627	−	0.909535i	$-0.363562\pi$
$2$	−0.453901	−	0.329779i	−0.320957	−	0.233189i	−0.736584	+	0.676347i	$0.763562\pi$
$3$	1.08779	−	1.34786i	0.628033	−	0.778187i
$3$	1.08779	−	1.34786i	0.628033	−	0.778187i
$4$	−0.520762	−	1.60274i	−0.260381	−	0.801370i
$5$	−0.587785	−	0.809017i	−0.262866	−	0.361803i
$5$	−0.587785	−	0.809017i	−0.262866	−	0.361803i
$6$	−0.938242	+	0.253067i	−0.383036	+	0.103314i
$7$	−0.254663	+	0.0827449i	−0.0962534	+	0.0312746i	−0.356748	−	0.934201i	$-0.616114\pi$
$7$	−0.254663	+	0.0827449i	−0.0962534	+	0.0312746i	0.260494	+	0.965475i	$0.416114\pi$
$8$	−0.638924	+	1.96641i	−0.225894	+	0.695230i
$9$	−0.633446	−	2.93236i	−0.211149	−	0.977454i
$10$			0.561053i			0.177420i
$11$	−1.79264	+	2.79042i	−0.540500	+	0.841344i
$11$	−1.79264	+	2.79042i	−0.540500	+	0.841344i
$12$	−2.72674	−	1.04152i	−0.787143	−	0.300662i
$13$	1.44781	−	1.99274i	0.401551	−	0.552687i	−0.559581	−	0.828775i	$-0.689038\pi$
$13$	1.44781	−	1.99274i	0.401551	−	0.552687i	0.961132	+	0.276088i	$0.0890381\pi$
$14$	0.142879	+	0.0464242i	0.0381861	+	0.0124074i
$15$	−1.72982	−	0.0877853i	−0.446639	−	0.0226661i
$16$	−1.78826	+	1.29924i	−0.447064	+	0.324811i
$17$	3.05095	−	2.21665i	0.739964	−	0.537616i	−0.152736	−	0.988267i	$-0.548808\pi$
$17$	3.05095	−	2.21665i	0.739964	−	0.537616i	0.892700	+	0.450652i	$0.148808\pi$
$18$	−0.679508	+	1.53990i	−0.160162	+	0.362958i
$19$	6.82402	+	2.21726i	1.56554	+	0.508674i	0.958280	−	0.285832i	$-0.0922699\pi$
$19$	6.82402	+	2.21726i	1.56554	+	0.508674i	0.607257	+	0.794506i	$0.292270\pi$
$20$	−0.990547	+	1.36337i	−0.221493	+	0.304859i
$21$	−0.165490	+	0.433258i	−0.0361128	+	0.0945446i
$22$	1.73390	−	0.675403i	0.369669	−	0.143996i
$23$		−	6.58084i		−	1.37220i	−0.727507	−	0.686101i	$-0.759321\pi$
$23$		−	6.58084i		−	1.37220i	0.727507	−	0.686101i	$-0.240679\pi$
$24$	1.95543	+	3.00021i	0.399150	+	0.612415i
$25$	−0.309017	+	0.951057i	−0.0618034	+	0.190211i
$26$	−1.31433	+	0.427051i	−0.257761	+	0.0837516i
$27$	−4.64146	−	2.33598i	−0.893250	−	0.449560i
$28$	0.265237	+	0.365067i	0.0501251	+	0.0689912i
$29$	−0.678415	−	2.08795i	−0.125979	−	0.387722i	0.868100	−	0.496390i	$-0.165341\pi$
$29$	−0.678415	−	2.08795i	−0.125979	−	0.387722i	−0.994078	+	0.108668i	$0.965341\pi$
$30$	0.756220	+	0.610305i	0.138066	+	0.111426i
$31$	5.54859	+	4.03129i	0.996556	+	0.724041i	0.961347	−	0.275339i	$-0.0887902\pi$
$31$	5.54859	+	4.03129i	0.996556	+	0.724041i	0.0352093	+	0.999380i	$0.488790\pi$
$32$	5.37536			0.950238
$33$	1.81109	+	5.45160i	0.315271	+	0.949002i
$34$	−2.11583			−0.362862
$35$	0.216629	+	0.157390i	0.0366170	+	0.0266038i
$36$	−4.36994	+	2.54231i	−0.728323	+	0.423718i
$37$	0.374036	+	1.15116i	0.0614911	+	0.189250i	0.977083	−	0.212859i	$-0.0682774\pi$
$37$	0.374036	+	1.15116i	0.0614911	+	0.189250i	−0.915592	+	0.402109i	$0.868277\pi$
$38$	−2.36623	−	3.25683i	−0.383852	−	0.528328i
$39$	−1.11103	−	4.11912i	−0.177907	−	0.659588i
$40$	1.96641	−	0.638924i	0.310916	−	0.101023i
$41$	−3.83351	+	11.7983i	−0.598693	+	1.84259i	−0.0632828	+	0.997996i	$0.520157\pi$
$41$	−3.83351	+	11.7983i	−0.598693	+	1.84259i	−0.535410	+	0.844592i	$0.679843\pi$
$42$	0.217995	−	0.142081i	0.0336374	−	0.0219236i
$43$		−	0.181260i		−	0.0276419i	−0.999904	−	0.0138209i	$-0.995601\pi$
$43$		−	0.181260i		−	0.0276419i	0.999904	−	0.0138209i	$-0.00439948\pi$
$44$	5.40586	+	1.41998i	0.814963	+	0.214070i
$45$	−2.00000	+	2.23607i	−0.298142	+	0.333333i
$46$	−2.17022	+	2.98705i	−0.319982	+	0.440417i
$47$	9.04803	+	2.93988i	1.31979	+	0.428826i	0.882423	−	0.470457i	$-0.155911\pi$
$47$	9.04803	+	2.93988i	1.31979	+	0.428826i	0.437368	+	0.899283i	$0.355911\pi$
$48$	−0.194041	+	3.82361i	−0.0280074	+	0.551891i
$49$	−5.60511	+	4.07235i	−0.800730	+	0.581765i
$50$	0.453901	−	0.329779i	0.0641913	−	0.0466377i
$51$	0.331054	−	6.52349i	0.0463569	−	0.913471i
$52$	−3.94781	−	1.28272i	−0.547463	−	0.177882i
$53$	1.15116	−	1.58444i	0.158125	−	0.217640i	−0.722603	−	0.691264i	$-0.757054\pi$
$53$	1.15116	−	1.58444i	0.158125	−	0.217640i	0.880727	+	0.473624i	$0.157054\pi$
$54$	1.33641	+	2.59096i	0.181862	+	0.352585i
$55$	3.31118	−	0.189896i	0.446480	−	0.0256056i
$56$		−	0.553638i		−	0.0739830i
$57$	10.4116	−	6.78591i	1.37905	−	0.898816i
$58$	−0.380627	+	1.17145i	−0.0499787	+	0.153819i
$59$	−5.22194	+	1.69671i	−0.679839	+	0.220893i	−0.628525	−	0.777789i	$-0.716341\pi$
$59$	−5.22194	+	1.69671i	−0.679839	+	0.220893i	−0.0513141	+	0.998683i	$0.516341\pi$
$60$	0.760129	+	2.81817i	0.0981323	+	0.363825i
$61$	−0.499172	−	0.687052i	−0.0639125	−	0.0879680i	0.775864	−	0.630900i	$-0.217314\pi$
$61$	−0.499172	−	0.687052i	−0.0639125	−	0.0879680i	−0.839777	+	0.542932i	$0.817314\pi$
$62$	−1.18908	−	3.65961i	−0.151013	−	0.464771i
$63$	0.403953	+	0.694348i	0.0508933	+	0.0874797i
$64$	1.13663	+	0.825809i	0.142079	+	0.103226i
$65$	−2.46317			−0.305518
$66$	0.975764	−	3.07175i	0.120108	−	0.378106i
$67$	−0.419155			−0.0512080			−0.0256040	−	0.999672i	$-0.508151\pi$
$67$	−0.419155			−0.0512080			−0.0256040	+	0.999672i	$0.508151\pi$
$68$	−5.14152	−	3.73554i	−0.623501	−	0.453000i
$69$	−8.87005	−	7.15855i	−1.06783	−	0.861788i
$70$	−0.0464242	−	0.142879i	−0.00554876	−	0.0170773i
$71$	−1.47652	−	2.03225i	−0.175231	−	0.241184i	0.712364	−	0.701811i	$-0.247625\pi$
$71$	−1.47652	−	2.03225i	−0.175231	−	0.241184i	−0.887594	+	0.460627i	$0.847625\pi$
$72$	6.17094	+	0.627944i	0.727252	+	0.0740039i
$73$	−7.26034	+	2.35903i	−0.849758	+	0.276103i	−0.701345	−	0.712822i	$-0.747417\pi$
$73$	−7.26034	+	2.35903i	−0.849758	+	0.276103i	−0.148413	+	0.988925i	$0.547417\pi$
$74$	0.209854	−	0.645864i	0.0243950	−	0.0750801i
$75$	0.945746	+	1.45106i	0.109205	+	0.167554i
$76$		−	12.0918i		−	1.38702i
$77$	0.225624	−	0.858947i	0.0257122	−	0.0978862i
$78$	−0.854102	+	2.23607i	−0.0967080	+	0.253185i
$79$	3.27183	−	4.50328i	0.368109	−	0.506659i	−0.584276	−	0.811555i	$-0.698622\pi$
$79$	3.27183	−	4.50328i	0.368109	−	0.506659i	0.952386	+	0.304896i	$0.0986216\pi$
$80$	2.10222	+	0.683053i	0.235035	+	0.0763676i
$81$	−8.19749	+	3.71499i	−0.910832	+	0.412777i
$82$	5.63087	−	4.09106i	0.621825	−	0.451782i
$83$	2.09613	−	1.52293i	0.230080	−	0.167163i	−0.466772	−	0.884378i	$-0.654583\pi$
$83$	2.09613	−	1.52293i	0.230080	−	0.167163i	0.696853	+	0.717214i	$0.254583\pi$
$84$	0.780580	+	0.0396129i	0.0851683	+	0.00432212i
$85$	−3.58661	−	1.16536i	−0.389022	−	0.126401i
$86$	−0.0597756	+	0.0822741i	−0.00644577	+	0.00887184i
$87$	−3.55223	−	1.35683i	−0.380839	−	0.145467i
$88$	−4.34175	−	5.30792i	−0.462832	−	0.565826i
$89$		−	7.27491i		−	0.771139i	−0.922679	−	0.385570i	$-0.874005\pi$
$89$		−	7.27491i		−	0.771139i	0.922679	−	0.385570i	$-0.125995\pi$
$90$	1.64521	−	0.355397i	0.173420	−	0.0374621i
$91$	−0.203814	+	0.627276i	−0.0213655	+	0.0657564i
$92$	−10.5474	+	3.42705i	−1.09964	+	0.357295i
$93$	11.4693	−	3.09354i	1.18931	−	0.320785i
$94$	−3.13740	−	4.31826i	−0.323598	−	0.445395i
$95$	−2.21726	−	6.82402i	−0.227486	−	0.700129i
$96$	5.84724	−	7.24523i	0.596781	−	0.739463i
$97$	−15.1281	−	10.9912i	−1.53603	−	1.11599i	−0.952767	−	0.303701i	$-0.901778\pi$
$97$	−15.1281	−	10.9912i	−1.53603	−	1.11599i	−0.583258	−	0.812287i	$-0.698222\pi$
$98$	3.88714			0.392661
$99$	9.31807	+	3.48907i	0.936501	+	0.350665i
$100$	1.68522			0.168522
$101$	8.53811	+	6.20330i	0.849574	+	0.617252i	0.925029	−	0.379898i	$-0.124041\pi$
$101$	8.53811	+	6.20330i	0.849574	+	0.617252i	−0.0754545	+	0.997149i	$0.524041\pi$
$102$	−2.30157	+	2.85184i	−0.227890	+	0.282375i
$103$	0.626792	+	1.92907i	0.0617596	+	0.190077i	0.977176	−	0.212432i	$-0.0681384\pi$
$103$	0.626792	+	1.92907i	0.0617596	+	0.190077i	−0.915416	+	0.402509i	$0.868138\pi$
$104$	2.99350	+	4.12020i	0.293537	+	0.404019i
$105$	0.447785	−	0.120779i	0.0436994	−	0.0117868i
$106$	−1.04503	+	0.339551i	−0.101502	+	0.0329801i
$107$	−4.18861	+	12.8912i	−0.404928	+	1.24624i	0.516028	+	0.856572i	$0.327410\pi$
$107$	−4.18861	+	12.8912i	−0.404928	+	1.24624i	−0.920956	+	0.389668i	$0.872590\pi$
$108$	−1.32688	+	8.65555i	−0.127679	+	0.832880i
$109$			7.75667i			0.742954i	0.928442	+	0.371477i	$0.121149\pi$
$109$			7.75667i			0.742954i	−0.928442	+	0.371477i	$0.878851\pi$
$110$	−1.56557	−	1.00576i	−0.149272	−	0.0958958i
$111$	1.95848	+	0.748072i	0.185890	+	0.0710038i
$112$	0.347896	−	0.478838i	0.0328731	−	0.0452459i
$113$	−2.78927	−	0.906289i	−0.262393	−	0.0852565i	0.174866	−	0.984592i	$-0.444051\pi$
$113$	−2.78927	−	0.906289i	−0.262393	−	0.0852565i	−0.437259	+	0.899336i	$0.644051\pi$
$114$	−6.96369	−	0.353394i	−0.652209	−	0.0330984i
$115$	−5.32402	+	3.86812i	−0.496467	+	0.360704i
$116$	−2.99314	+	2.17465i	−0.277906	+	0.201911i
$117$	−6.76056	−	2.98321i	−0.625014	−	0.275798i
$118$	2.92979	+	0.951945i	0.269709	+	0.0876336i
$119$	−0.593547	+	0.816947i	−0.0544104	+	0.0748894i
$120$	1.27785	−	3.34545i	0.116651	−	0.305397i
$121$	−4.57291	−	10.0044i	−0.415720	−	0.909493i
$122$			0.476470i			0.0431376i
$123$	11.7324	+	18.0011i	1.05788	+	1.62310i
$124$	3.57161	−	10.9923i	0.320740	−	0.987136i
$125$	0.951057	−	0.309017i	0.0850651	−	0.0276393i
$126$	0.0456264	−	0.448381i	0.00406472	−	0.0399449i
$127$	11.9844	+	16.4951i	1.06344	+	1.46370i	0.876542	+	0.481326i	$0.159845\pi$
$127$	11.9844	+	16.4951i	1.06344	+	1.46370i	0.186902	+	0.982379i	$0.440155\pi$
$128$	−3.56574	−	10.9742i	−0.315170	−	0.969993i
$129$	−0.244313	−	0.197172i	−0.0215105	−	0.0173600i
$130$	1.11803	+	0.812299i	0.0980581	+	0.0712434i
$131$	14.5776			1.27365			0.636825	−	0.771009i	$-0.280247\pi$
$131$	14.5776			1.27365			0.636825	+	0.771009i	$0.280247\pi$
$132$	7.79435	−	5.74169i	0.678411	−	0.499750i
$133$	−1.92129			−0.166597
$134$	0.190255	+	0.138228i	0.0164355	+	0.0119411i
$135$	0.838333	+	5.12808i	0.0721522	+	0.441355i
$136$	2.40950	+	7.41568i	0.206613	+	0.635889i
$137$	−2.15358	−	2.96415i	−0.183993	−	0.253244i	0.707050	−	0.707163i	$-0.250026\pi$
$137$	−2.15358	−	2.96415i	−0.183993	−	0.253244i	−0.891043	+	0.453919i	$0.850026\pi$
$138$	1.66539	+	6.17442i	0.141768	+	0.525602i
$139$	−10.6100	+	3.44740i	−0.899930	+	0.292405i	−0.722208	−	0.691676i	$-0.756873\pi$
$139$	−10.6100	+	3.44740i	−0.899930	+	0.292405i	−0.177722	+	0.984081i	$0.556873\pi$
$140$	0.139443	−	0.429162i	0.0117851	−	0.0362708i
$141$	13.8049	−	8.99750i	1.16258	−	0.757726i
$142$			1.40937i			0.118271i
$143$	2.96519	+	7.61227i	0.247962	+	0.636570i
$144$	4.94262	+	4.42081i	0.411885	+	0.368401i
$145$	−1.29042	+	1.77611i	−0.107164	+	0.147498i
$146$	4.07343	+	1.32354i	0.337120	+	0.109537i
$147$	−0.608203	+	11.9847i	−0.0501637	+	0.988485i
$148$	1.65023	−	1.19896i	0.135648	−	0.0985542i
$149$	−9.27921	+	6.74174i	−0.760183	+	0.552305i	−0.898966	−	0.438018i	$-0.855681\pi$
$149$	−9.27921	+	6.74174i	−0.760183	+	0.552305i	0.138784	+	0.990323i	$0.455681\pi$
$150$	0.0492522	−	0.970523i	0.00402142	−	0.0792429i
$151$	−8.20244	−	2.66513i	−0.667505	−	0.216886i	−0.0443883	−	0.999014i	$-0.514134\pi$
$151$	−8.20244	−	2.66513i	−0.667505	−	0.216886i	−0.623117	+	0.782129i	$0.714134\pi$
$152$	−8.72006	+	12.0021i	−0.707290	+	0.973502i
$153$	−8.43262	−	7.54237i	−0.681737	−	0.609764i
$154$	−0.385673	+	0.315471i	−0.0310785	+	0.0254214i
$155$		−	6.85844i		−	0.550883i
$156$	−6.02330	+	3.92577i	−0.482250	+	0.314313i
$157$	−1.95358	+	6.01249i	−0.155912	+	0.479849i	−0.998252	−	0.0590979i	$-0.981178\pi$
$157$	−1.95358	+	6.01249i	−0.155912	+	0.479849i	0.842340	+	0.538947i	$0.181178\pi$
$158$	−2.97017	+	0.965068i	−0.236294	+	0.0767767i
$159$	−0.883384	−	3.27514i	−0.0700569	−	0.259735i
$160$	−3.15956	−	4.34876i	−0.249785	−	0.343799i
$161$	0.544531	+	1.67589i	0.0429151	+	0.132079i
$162$	4.94597	+	1.01712i	0.388592	+	0.0799124i
$163$	6.76250	+	4.91325i	0.529680	+	0.384835i	0.820238	−	0.572022i	$-0.193841\pi$
$163$	6.76250	+	4.91325i	0.529680	+	0.384835i	−0.290558	+	0.956857i	$0.593841\pi$
$164$	20.9060			1.63248
$165$	3.34590	−	4.66957i	0.260478	−	0.363526i
$166$	−1.45367			−0.112826
$167$	−16.8415	−	12.2361i	−1.30323	−	0.946855i	−0.303253	−	0.952910i	$-0.598073\pi$
$167$	−16.8415	−	12.2361i	−1.30323	−	0.946855i	−0.999982	+	0.00605473i	$0.998073\pi$
$168$	−0.746226	−	0.602239i	−0.0575726	−	0.0464638i
$169$	2.14236	+	6.59350i	0.164797	+	0.507192i
$170$	1.24366	+	1.71174i	0.0953840	+	0.131285i
$171$	2.17915	−	21.4150i	0.166644	−	1.63765i
$172$	−0.290512	+	0.0943932i	−0.0221514	+	0.00719741i
$173$	1.24954	−	3.84569i	0.0950009	−	0.292383i	−0.892253	−	0.451536i	$-0.850876\pi$
$173$	1.24954	−	3.84569i	0.0950009	−	0.292383i	0.987254	+	0.159153i	$0.0508763\pi$
$174$	1.16491	+	1.78732i	0.0883114	+	0.135496i
$175$		−	0.267768i		−	0.0202414i
$176$	−0.419748	−	7.31906i	−0.0316397	−	0.551695i
$177$	−3.39342	+	8.88410i	−0.255065	+	0.667770i
$178$	−2.39911	+	3.30209i	−0.179821	+	0.247502i
$179$	1.67348	+	0.543746i	0.125082	+	0.0406415i	0.370889	−	0.928677i	$-0.379053\pi$
$179$	1.67348	+	0.543746i	0.125082	+	0.0406415i	−0.245807	+	0.969319i	$0.579053\pi$
$180$	4.62536	+	2.04102i	0.344754	+	0.152129i
$181$	−3.06801	+	2.22904i	−0.228044	+	0.165683i	−0.695940	−	0.718100i	$-0.745012\pi$
$181$	−3.06801	+	2.22904i	−0.228044	+	0.165683i	0.467896	+	0.883783i	$0.345012\pi$
$182$	0.299374	−	0.217508i	0.0221911	−	0.0161227i
$183$	−1.46904	−	0.0745510i	−0.108595	−	0.00551097i
$184$	12.9406	+	4.20466i	0.953995	+	0.309972i
$185$	0.711458	−	0.979238i	0.0523075	−	0.0719950i
$186$	−6.22611	−	2.37816i	−0.456520	−	0.174375i
$187$	0.716134	+	12.4871i	0.0523689	+	0.913146i
$188$		−	16.0326i		−	1.16930i
$189$	1.37530	+	0.210830i	0.100038	+	0.0153356i
$190$	−1.24400	+	3.82863i	−0.0902491	+	0.277758i
$191$	13.1500	−	4.27269i	0.951500	−	0.309161i	0.208175	−	0.978092i	$-0.433248\pi$
$191$	13.1500	−	4.27269i	0.951500	−	0.309161i	0.743325	+	0.668931i	$0.233248\pi$
$192$	2.34948	−	0.633712i	0.169559	−	0.0457342i
$193$	−4.42871	−	6.09559i	−0.318785	−	0.438770i	0.619311	−	0.785146i	$-0.287412\pi$
$193$	−4.42871	−	6.09559i	−0.318785	−	0.438770i	−0.938096	+	0.346376i	$0.887412\pi$
$194$	3.24200	+	9.97784i	0.232762	+	0.716367i
$195$	−2.67940	+	3.32000i	−0.191875	+	0.237750i
$196$	9.44585	+	6.86281i	0.674703	+	0.490201i
$197$	1.44184			0.102727			0.0513633	−	0.998680i	$-0.483643\pi$
$197$	1.44184			0.102727			0.0513633	+	0.998680i	$0.483643\pi$
$198$	−3.07886	−	4.65659i	−0.218805	−	0.330930i
$199$	3.24040			0.229706			0.114853	−	0.993382i	$-0.463360\pi$
$199$	3.24040			0.229706			0.114853	+	0.993382i	$0.463360\pi$
$200$	−1.67273	−	1.21531i	−0.118280	−	0.0859351i
$201$	−0.455951	+	0.564962i	−0.0321603	+	0.0398493i
$202$	−1.82974	−	5.63137i	−0.128740	−	0.396222i
$203$	0.345534	+	0.475587i	0.0242517	+	0.0333796i
$204$	−10.6278	+	2.86659i	−0.744098	+	0.200701i
$205$	11.7983	−	3.83351i	0.824030	−	0.267744i
$206$	0.351663	−	1.08231i	0.0245015	−	0.0754080i
$207$	−19.2974	+	4.16861i	−1.34126	+	0.289739i
$208$			5.44459i			0.377515i
$209$	−18.4201	+	15.0672i	−1.27414	+	1.04222i
$210$	−0.243080	−	0.0928485i	−0.0167741	−	0.00640715i
$211$	−9.85407	+	13.5630i	−0.678382	+	0.933713i	−0.999913	−	0.0131863i	$-0.995803\pi$
$211$	−9.85407	+	13.5630i	−0.678382	+	0.933713i	0.321531	+	0.946899i	$0.395803\pi$
$212$	−3.13893	−	1.01990i	−0.215582	−	0.0700470i
$213$	−4.34533	−	0.220517i	−0.297737	−	0.0151096i
$214$	6.15245	−	4.47002i	0.420573	−	0.305564i
$215$	−0.146642	+	0.106542i	−0.0100009	+	0.00726610i
$216$	7.55904	−	7.63449i	0.514327	−	0.519461i
$217$	−1.74659	−	0.567500i	−0.118566	−	0.0385244i
$218$	2.55798	−	3.52076i	0.173248	−	0.238456i
$219$	−4.71805	+	12.3520i	−0.318816	+	0.834672i
$220$	−2.02869	−	5.20807i	−0.136774	−	0.351128i
$221$		−	9.28905i		−	0.624849i
$222$	−0.642257	−	0.985414i	−0.0431055	−	0.0661367i
$223$	7.03190	−	21.6420i	0.470891	−	1.44925i	−0.380529	−	0.924769i	$-0.624258\pi$
$223$	7.03190	−	21.6420i	0.470891	−	1.44925i	0.851420	−	0.524485i	$-0.175742\pi$
$224$	−1.36890	+	0.444783i	−0.0914637	+	0.0297183i
$225$	2.98459	+	0.303706i	0.198972	+	0.0202471i
$226$	0.967179	+	1.33121i	0.0643358	+	0.0885506i
$227$	7.36480	+	22.6665i	0.488819	+	1.50443i	0.826372	+	0.563124i	$0.190401\pi$
$227$	7.36480	+	22.6665i	0.488819	+	1.50443i	−0.337553	+	0.941307i	$0.609599\pi$
$228$	−16.2980	−	13.1533i	−1.07936	−	0.871096i
$229$	−13.4107	−	9.74343i	−0.886203	−	0.643864i	0.0486825	−	0.998814i	$-0.484498\pi$
$229$	−13.4107	−	9.74343i	−0.886203	−	0.643864i	−0.934885	+	0.354950i	$0.884498\pi$
$230$	3.69220			0.243457
$231$	−0.912309	−	1.23846i	−0.0600256	−	0.0814847i
$232$	4.53921			0.298014
$233$	−1.98178	−	1.43985i	−0.129831	−	0.0943276i	0.520975	−	0.853572i	$-0.325569\pi$
$233$	−1.98178	−	1.43985i	−0.129831	−	0.0943276i	−0.650805	+	0.759245i	$0.725569\pi$
$234$	2.08482	+	3.58357i	0.136289	+	0.234265i
$235$	−2.93988	−	9.04803i	−0.191777	−	0.590228i
$236$	5.43877	+	7.48583i	0.354034	+	0.487286i
$237$	−2.51075	−	9.30857i	−0.163090	−	0.604657i
$238$	0.538823	−	0.175074i	0.0349267	−	0.0113484i
$239$	1.51541	−	4.66395i	0.0980236	−	0.301686i	−0.890006	−	0.455948i	$-0.849300\pi$
$239$	1.51541	−	4.66395i	0.0980236	−	0.301686i	0.988030	+	0.154263i	$0.0493002\pi$
$240$	3.20742	−	2.09048i	0.207038	−	0.134940i
$241$		−	16.9902i		−	1.09443i	−0.836991	−	0.547216i	$-0.815688\pi$
$241$		−	16.9902i		−	1.09443i	0.836991	−	0.547216i	$-0.184312\pi$
$242$	−1.22359	+	6.04907i	−0.0786555	+	0.388849i
$243$	−3.90983	+	15.0902i	−0.250816	+	0.968035i
$244$	−0.841215	+	1.15783i	−0.0538533	+	0.0741227i
$245$	6.58921	+	2.14096i	0.420969	+	0.136781i
$246$	0.610997	−	12.0398i	0.0389557	−	0.767630i
$247$	14.2983	−	10.3883i	0.909780	−	0.660994i
$248$	−11.4723	+	8.33510i	−0.728491	+	0.529279i
$249$	0.227448	−	4.48191i	0.0144139	−	0.284029i
$250$	−0.533593	−	0.173375i	−0.0337474	−	0.0109652i
$251$	9.10254	−	12.5286i	0.574547	−	0.790796i	−0.418537	−	0.908200i	$-0.637457\pi$
$251$	9.10254	−	12.5286i	0.574547	−	0.790796i	0.993084	+	0.117403i	$0.0374571\pi$
$252$	0.902496	−	1.00902i	0.0568519	−	0.0635624i
$253$	18.3633	+	11.7971i	1.15449	+	0.741675i
$254$		−	11.4393i		−	0.717769i
$255$	−5.47220	+	3.56658i	−0.342682	+	0.223348i
$256$	−1.13226	+	3.48474i	−0.0707663	+	0.217796i
$257$	21.9221	−	7.12294i	1.36747	−	0.444316i	0.468937	−	0.883232i	$-0.344637\pi$
$257$	21.9221	−	7.12294i	1.36747	−	0.444316i	0.898529	+	0.438915i	$0.144637\pi$
$258$	0.0458708	+	0.170066i	0.00285579	+	0.0105878i
$259$	−0.190506	−	0.262209i	−0.0118375	−	0.0162929i
$260$	1.28272	+	3.94781i	0.0795510	+	0.244833i
$261$	−5.69288	+	3.31196i	−0.352380	+	0.205005i
$262$	−6.61678	−	4.80738i	−0.408786	−	0.297001i
$263$	−21.7115			−1.33879			−0.669394	−	0.742908i	$-0.733446\pi$
$263$	−21.7115			−1.33879			−0.669394	+	0.742908i	$0.733446\pi$
$264$	−11.8772	+	0.0781852i	−0.730992	+	0.00481197i
$265$	−1.95848			−0.120308
$266$	0.872075	+	0.633599i	0.0534703	+	0.0388485i
$267$	−9.80555	−	7.91354i	−0.600090	−	0.484301i
$268$	0.218280	+	0.671796i	0.0133336	+	0.0410365i
$269$	−14.5298	−	19.9985i	−0.885897	−	1.21933i	−0.974753	−	0.223288i	$-0.928321\pi$
$269$	−14.5298	−	19.9985i	−0.885897	−	1.21933i	0.0888558	−	0.996044i	$-0.471679\pi$
$270$	1.31061	−	2.60411i	0.0797612	−	0.158481i
$271$	24.2430	−	7.87704i	1.47266	−	0.478496i	0.540749	−	0.841184i	$-0.318141\pi$
$271$	24.2430	−	7.87704i	1.47266	−	0.478496i	0.931911	+	0.362687i	$0.118141\pi$
$272$	−2.57592	+	7.92786i	−0.156188	+	0.480697i
$273$	0.623773	+	0.957055i	0.0377525	+	0.0579236i
$274$			2.05564i			0.124186i
$275$	−2.09989	−	2.56719i	−0.126628	−	0.154807i
$276$	−6.85410	+	17.9443i	−0.412568	+	1.08012i
$277$	16.2136	−	22.3161i	0.974182	−	1.34085i	0.0342760	−	0.999412i	$-0.489087\pi$
$277$	16.2136	−	22.3161i	0.974182	−	1.34085i	0.939906	−	0.341434i	$-0.110913\pi$
$278$	5.95278	+	1.93417i	0.357024	+	0.116004i
$279$	8.30646	−	18.8241i	0.497295	−	1.12697i
$280$	−0.447903	+	0.325420i	−0.0267673	+	0.0194476i
$281$	−15.6805	+	11.3925i	−0.935419	+	0.679622i	−0.947314	−	0.320307i	$-0.896214\pi$
$281$	−15.6805	+	11.3925i	−0.935419	+	0.679622i	0.0118943	+	0.999929i	$0.496214\pi$
$282$	−9.23322	−	0.468568i	−0.549831	−	0.0279028i
$283$	15.0760	+	4.89849i	0.896175	+	0.291185i	0.720657	−	0.693291i	$-0.243840\pi$
$283$	15.0760	+	4.89849i	0.896175	+	0.291185i	0.175518	+	0.984476i	$0.443840\pi$
$284$	−2.48826	+	3.42479i	−0.147651	+	0.203224i
$285$	−11.6097	−	4.43451i	−0.687700	−	0.262678i
$286$	1.16446	−	4.43308i	0.0688559	−	0.262133i
$287$		−	3.32179i		−	0.196079i
$288$	−3.40500	−	15.7625i	−0.200642	−	0.928814i
$289$	−0.858505	+	2.64221i	−0.0505003	+	0.155424i
$290$	1.17145	−	0.380627i	0.0687898	−	0.0223512i
$291$	−31.2707	+	8.43447i	−1.83312	+	0.494437i
$292$	7.56181	+	10.4079i	0.442521	+	0.609078i
$293$	6.46030	+	19.8828i	0.377415	+	1.16156i	0.941835	+	0.336076i	$0.109100\pi$
$293$	6.46030	+	19.8828i	0.377415	+	1.16156i	−0.564420	+	0.825488i	$0.690900\pi$
$294$	4.22838	−	5.23932i	0.246604	−	0.305563i
$295$	4.44205	+	3.22734i	0.258626	+	0.187903i
$296$	−2.50264			−0.145463
$297$	14.8388	−	8.76408i	0.861036	−	0.508543i
$298$	6.43513			0.372777
$299$	−13.1139	−	9.52783i	−0.758398	−	0.551009i
$300$	1.83316	−	2.27144i	0.105837	−	0.131142i
$301$	0.0149983	+	0.0461601i	0.000864489	+	0.00266062i
$302$	2.84419	+	3.91470i	0.163665	+	0.225265i
$303$	17.6488	−	4.76031i	1.01390	−	0.273473i
$304$	−15.0838	+	4.90104i	−0.865118	+	0.281094i
$305$	−0.262430	+	0.807678i	−0.0150267	+	0.0462475i
$306$	1.34027	+	6.20439i	0.0766180	+	0.354681i
$307$			22.3320i			1.27456i	0.770634	+	0.637278i	$0.219940\pi$
$307$			22.3320i			1.27456i	−0.770634	+	0.637278i	$0.780060\pi$
$308$	−1.49417	+	0.0856904i	−0.0851380	+	0.00488266i
$309$	3.28193	+	1.25358i	0.186702	+	0.0713139i
$310$	−2.26177	+	3.11305i	−0.128460	+	0.176810i
$311$	−1.22331	−	0.397476i	−0.0693673	−	0.0225388i	0.274128	−	0.961693i	$-0.411611\pi$
$311$	−1.22331	−	0.397476i	−0.0693673	−	0.0225388i	−0.343495	+	0.939154i	$0.611611\pi$
$312$	8.80974	+	0.447077i	0.498753	+	0.0253108i
$313$	−19.1931	+	13.9446i	−1.08486	+	0.788196i	−0.978524	−	0.206134i	$-0.933912\pi$
$313$	−19.1931	+	13.9446i	−1.08486	+	0.788196i	−0.106335	+	0.994330i	$0.533912\pi$
$314$	2.86952	−	2.08483i	0.161936	−	0.117654i
$315$	0.324302	−	0.734933i	0.0182723	−	0.0414088i
$316$	−8.92143	−	2.89875i	−0.501870	−	0.163067i
$317$	13.3718	−	18.4048i	0.751038	−	1.03371i	−0.246869	−	0.969049i	$-0.579402\pi$
$317$	13.3718	−	18.4048i	0.751038	−	1.03371i	0.997907	−	0.0646661i	$-0.0205982\pi$
$318$	−0.679101	+	1.77791i	−0.0380821	+	0.0997002i
$319$	7.04241	+	1.84986i	0.394299	+	0.103572i
$320$		−	1.40495i		−	0.0785391i
$321$	12.8192	+	19.6685i	0.715499	+	1.09779i
$322$	0.305511	−	0.940265i	0.0170254	−	0.0523989i
$323$	25.7346	−	8.36168i	1.43191	−	0.465256i
$324$	10.2231	+	11.2038i	0.567950	+	0.622434i
$325$	1.44781	+	1.99274i	0.0803102	+	0.110537i
$326$	−1.44923	−	4.46026i	−0.0802652	−	0.247031i
$327$	10.4549	+	8.43759i	0.578157	+	0.466600i
$328$	−20.7510	−	15.0765i	−1.14578	−	0.832459i
$329$	−2.54745			−0.140446
$330$	−3.05864	+	1.01612i	−0.168372	+	0.0559355i
$331$	16.1892			0.889838			0.444919	−	0.895571i	$-0.353232\pi$
$331$	16.1892			0.889838			0.444919	+	0.895571i	$0.353232\pi$
$332$	−3.53244	−	2.56647i	−0.193868	−	0.140853i
$333$	3.13870	−	1.82601i	0.172000	−	0.100065i
$334$	3.60919	+	11.1079i	0.197486	+	0.607799i
$335$	0.246373	+	0.339104i	0.0134608	+	0.0185272i
$336$	−0.266969	−	0.989787i	−0.0145644	−	0.0539973i
$337$	−17.9300	+	5.82582i	−0.976712	+	0.317353i	−0.753522	−	0.657422i	$-0.771647\pi$
$337$	−17.9300	+	5.82582i	−0.976712	+	0.317353i	−0.223189	+	0.974775i	$0.571647\pi$
$338$	1.20198	−	3.69930i	0.0653789	−	0.201215i
$339$	−4.25568	+	2.77370i	−0.231137	+	0.150647i
$340$			6.35527i			0.344663i
$341$	−21.1956	+	8.25628i	−1.14781	+	0.447103i
$342$	−8.05133	+	9.00166i	−0.435366	+	0.486754i
$343$	2.19218	−	3.01727i	0.118366	−	0.162917i
$344$	0.356431	+	0.115811i	0.0192175	+	0.00624413i
$345$	−0.577701	+	11.3837i	−0.0311024	+	0.612878i
$346$	−1.83540	+	1.33349i	−0.0986715	+	0.0716890i
$347$	9.54895	−	6.93772i	0.512614	−	0.372436i	−0.301200	−	0.953561i	$-0.597387\pi$
$347$	9.54895	−	6.93772i	0.512614	−	0.372436i	0.813814	+	0.581125i	$0.197387\pi$
$348$	−0.324782	+	6.39988i	−0.0174101	+	0.343070i
$349$	−13.5845	−	4.41387i	−0.727161	−	0.236269i	−0.0780361	−	0.996951i	$-0.524865\pi$
$349$	−13.5845	−	4.41387i	−0.727161	−	0.236269i	−0.649125	+	0.760681i	$0.724865\pi$
$350$	−0.0883042	+	0.121540i	−0.00472006	+	0.00649660i
$351$	−11.3750	+	5.86718i	−0.607152	+	0.313167i
$352$	−9.63606	+	14.9995i	−0.513604	+	0.799477i
$353$			3.37221i			0.179484i	0.995965	+	0.0897422i	$0.0286043\pi$
$353$			3.37221i			0.179484i	−0.995965	+	0.0897422i	$0.971396\pi$
$354$	4.47006	−	2.91342i	0.237581	−	0.154847i
$355$	−0.776252	+	2.38906i	−0.0411992	+	0.126798i
$356$	−11.6598	+	3.78849i	−0.617968	+	0.200790i
$357$	0.455478	+	1.68868i	0.0241064	+	0.0893744i
$358$	−0.580278	−	0.798684i	−0.0306686	−	0.0422117i
$359$	6.38318	+	19.6454i	0.336891	+	1.03684i	0.965783	+	0.259352i	$0.0835089\pi$
$359$	6.38318	+	19.6454i	0.336891	+	1.03684i	−0.628892	+	0.777493i	$0.716491\pi$
$360$	−3.11917	−	5.36149i	−0.164395	−	0.282575i
$361$	26.2796	+	19.0933i	1.38314	+	1.00491i
$362$	2.12767			0.111828
$363$	−18.4589	−	4.71902i	−0.968841	−	0.247684i
$364$	1.11150			0.0582584
$365$	6.17601	+	4.48713i	0.323267	+	0.234867i
$366$	0.642214	+	0.518297i	0.0335691	+	0.0270918i
$367$	−7.69229	−	23.6744i	−0.401534	−	1.23580i	−0.923755	−	0.382985i	$-0.874896\pi$
$367$	−7.69229	−	23.6744i	−0.401534	−	1.23580i	0.522221	−	0.852810i	$-0.325104\pi$
$368$	8.55012	+	11.7682i	0.445706	+	0.613461i
$369$	37.0253	+	3.76762i	1.92746	+	0.196135i
$370$	−0.645864	+	0.209854i	−0.0335769	+	0.0109098i
$371$	−0.162054	+	0.498751i	−0.00841342	+	0.0258938i
$372$	−10.9309	−	16.7713i	−0.566741	−	0.869550i
$373$			22.3371i			1.15657i	0.815834	+	0.578286i	$0.196278\pi$
$373$			22.3371i			1.15657i	−0.815834	+	0.578286i	$0.803722\pi$
$374$	3.79292	−	5.90407i	0.196127	−	0.305292i
$375$	0.618034	−	1.61803i	0.0319151	−	0.0835549i
$376$	−11.5620	+	15.9137i	−0.596265	+	0.820689i
$377$	−5.14296	−	1.67105i	−0.264876	−	0.0860634i
$378$	−0.554722	−	0.549240i	−0.0285318	−	0.0282498i
$379$	6.20372	−	4.50727i	0.318664	−	0.231523i	−0.416941	−	0.908933i	$-0.636898\pi$
$379$	6.20372	−	4.50727i	0.318664	−	0.231523i	0.735605	+	0.677411i	$0.236898\pi$
$380$	−9.78246	+	7.10737i	−0.501829	+	0.364600i
$381$	35.2695	+	1.78986i	1.80691	+	0.0916973i
$382$	−7.37784	−	2.39720i	−0.377483	−	0.122652i
$383$	−14.1228	+	19.4384i	−0.721641	+	0.993254i	0.277826	+	0.960631i	$0.410386\pi$
$383$	−14.1228	+	19.4384i	−0.721641	+	0.993254i	−0.999468	+	0.0326227i	$0.989614\pi$
$384$	−18.6704	−	7.13148i	−0.952772	−	0.363927i
$385$	−0.827522	+	0.322343i	−0.0421744	+	0.0164281i
$386$			4.22729i			0.215163i
$387$	−0.531520	+	0.114818i	−0.0270187	+	0.00583655i
$388$	−9.73791	+	29.9702i	−0.494367	+	1.52151i
$389$	25.0663	−	8.14452i	1.27091	−	0.412944i	0.405540	−	0.914077i	$-0.367083\pi$
$389$	25.0663	−	8.14452i	1.27091	−	0.412944i	0.865370	+	0.501133i	$0.167083\pi$
$390$	2.31105	−	0.623345i	0.117024	−	0.0315643i
$391$	−14.5874	−	20.0778i	−0.737717	−	1.01538i
$392$	−4.42666	−	13.6239i	−0.223580	−	0.688109i
$393$	15.8573	−	19.6485i	0.799894	−	0.991137i
$394$	−0.654451	−	0.475486i	−0.0329708	−	0.0239547i
$395$	−5.56637			−0.280074
$396$	0.739583	−	16.7514i	0.0371655	−	0.841790i
$397$	−1.65141			−0.0828819			−0.0414410	−	0.999141i	$-0.513195\pi$
$397$	−1.65141			−0.0828819			−0.0414410	+	0.999141i	$0.513195\pi$
$398$	−1.47082	−	1.06862i	−0.0737257	−	0.0535648i
$399$	−2.08995	+	2.58962i	−0.104628	+	0.129643i
$400$	−0.683053	−	2.10222i	−0.0341526	−	0.105111i
$401$	5.46506	+	7.52201i	0.272912	+	0.375631i	0.923370	−	0.383911i	$-0.125423\pi$
$401$	5.46506	+	7.52201i	0.272912	+	0.375631i	−0.650458	+	0.759542i	$0.725423\pi$
$402$	0.393269	−	0.106074i	0.0196145	−	0.00529050i
$403$	16.0666	−	5.22037i	0.800336	−	0.260045i
$404$	5.49596	−	16.9148i	0.273434	−	0.841543i
$405$	7.82385	+	4.44829i	0.388770	+	0.221038i
$406$		−	0.329819i		−	0.0163686i
$407$	−3.88274	−	1.01990i	−0.192460	−	0.0505545i
$408$	12.6163	+	4.81900i	0.624600	+	0.238576i
$409$	7.71962	−	10.6251i	0.381711	−	0.525380i	−0.574326	−	0.818627i	$-0.694736\pi$
$409$	7.71962	−	10.6251i	0.381711	−	0.525380i	0.956037	+	0.293247i	$0.0947358\pi$
$410$	−6.61948	−	2.15080i	−0.326913	−	0.106220i
$411$	−6.33789	−	0.321636i	−0.312625	−	0.0158651i
$412$	2.76538	−	2.00917i	0.136241	−	0.0989846i
$413$	1.18944	−	0.864178i	0.0585285	−	0.0425234i
$414$	10.1338	+	4.47174i	0.498051	+	0.219774i
$415$	−2.46415	−	0.800651i	−0.120960	−	0.0393024i
$416$	7.78251	−	10.7117i	0.381569	−	0.525185i
$417$	−6.89480	+	18.0508i	−0.337640	+	0.883953i
$418$	13.3297	−	0.764459i	0.651977	−	0.0373909i
$419$			36.8981i			1.80259i	0.433205	+	0.901296i	$0.357383\pi$
$419$			36.8981i			1.80259i	−0.433205	+	0.901296i	$0.642617\pi$
$420$	−0.426766	−	0.654786i	−0.0208240	−	0.0319503i
$421$	−9.07289	+	27.9235i	−0.442186	+	1.36091i	0.443355	+	0.896346i	$0.353788\pi$
$421$	−9.07289	+	27.9235i	−0.442186	+	1.36091i	−0.885541	+	0.464562i	$0.846212\pi$
$422$	8.94555	−	2.90658i	0.435462	−	0.141490i
$423$	2.88936	−	28.3943i	0.140485	−	1.38058i
$424$	2.38015	+	3.27599i	0.115590	+	0.159096i
$425$	1.16536	+	3.58661i	0.0565282	+	0.173976i
$426$	1.89963	+	1.53309i	0.0920372	+	0.0742784i
$427$	0.183970	+	0.133662i	0.00890296	+	0.00646838i
$428$	22.8425			1.10413
$429$	13.4858	+	4.28385i	0.651099	+	0.206826i
$430$	0.101696			0.00490424
$431$	−27.4746	−	19.9615i	−1.32341	−	0.961511i	−0.999883	−	0.0152912i	$-0.995132\pi$
$431$	−27.4746	−	19.9615i	−1.32341	−	0.961511i	−0.323524	−	0.946220i	$-0.604868\pi$
$432$	11.3351	−	1.85306i	0.545362	−	0.0891552i
$433$	−10.5560	−	32.4880i	−0.507288	−	1.56127i	−0.796890	−	0.604124i	$-0.793523\pi$
$433$	−10.5560	−	32.4880i	−0.507288	−	1.56127i	0.289602	−	0.957147i	$-0.406477\pi$
$434$	0.605628	+	0.833576i	0.0290711	+	0.0400129i
$435$	0.990248	+	3.67134i	0.0474788	+	0.176027i
$436$	12.4319	−	4.03937i	0.595381	−	0.193451i
$437$	14.5914	−	44.9078i	0.698002	−	2.14823i
$438$	6.21496	−	4.05069i	0.296962	−	0.193549i
$439$		−	33.7166i		−	1.60921i	−0.593812	−	0.804604i	$-0.702378\pi$
$439$		−	33.7166i		−	1.60921i	0.593812	−	0.804604i	$-0.297622\pi$
$440$	−1.74218	+	6.63247i	−0.0830553	+	0.316190i
$441$	15.4922	+	13.8566i	0.737721	+	0.659838i
$442$	−3.06333	+	4.21631i	−0.145708	+	0.200549i
$443$	−7.69930	−	2.50166i	−0.365805	−	0.118857i	0.120346	−	0.992732i	$-0.461600\pi$
$443$	−7.69930	−	2.50166i	−0.365805	−	0.118857i	−0.486151	+	0.873875i	$0.661600\pi$
$444$	0.179064	−	3.52849i	0.00849801	−	0.167455i
$445$	−5.88553	+	4.27609i	−0.279001	+	0.202706i
$446$	−10.3288	+	7.50435i	−0.489085	+	0.355341i
$447$	−1.00687	+	19.8406i	−0.0476235	+	0.938430i
$448$	−0.357788	−	0.116252i	−0.0169039	−	0.00549241i
$449$	1.77372	−	2.44131i	0.0837069	−	0.115213i	−0.765110	−	0.643900i	$-0.777315\pi$
$449$	1.77372	−	2.44131i	0.0837069	−	0.115213i	0.848817	+	0.528687i	$0.177315\pi$
$450$	−1.25455	−	1.12211i	−0.0591402	−	0.0528966i
$451$	−26.0502	−	31.8472i	−1.22666	−	1.49963i
$452$			4.94244i			0.232473i
$453$	−12.5147	+	8.15664i	−0.587993	+	0.383232i
$454$	4.13204	−	12.7171i	0.193926	−	0.596844i
$455$	0.627276	−	0.203814i	0.0294072	−	0.00955496i
$456$	6.69163	+	24.8092i	0.313364	+	1.16179i
$457$	−1.23392	−	1.69835i	−0.0577204	−	0.0794454i	0.779181	−	0.626799i	$-0.215635\pi$
$457$	−1.23392	−	1.69835i	−0.0577204	−	0.0794454i	−0.836901	+	0.547354i	$0.815635\pi$
$458$	2.87395	+	8.84511i	0.134291	+	0.413305i
$459$	−19.3389	+	3.16151i	−0.902664	+	0.147567i
$460$	8.97214	+	6.51864i	0.418328	+	0.303933i
$461$	−34.3921			−1.60180			−0.800899	−	0.598799i	$-0.795645\pi$
$461$	−34.3921			−1.60180			−0.800899	+	0.598799i	$0.795645\pi$
$462$	0.00568094	+	0.862998i	0.000264301	+	0.0401503i
$463$	−21.6267			−1.00508			−0.502539	−	0.864555i	$-0.667601\pi$
$463$	−21.6267			−1.00508			−0.502539	+	0.864555i	$0.667601\pi$
$464$	3.92593	+	2.85236i	0.182257	+	0.132417i
$465$	−9.24420	−	7.46051i	−0.428690	−	0.345973i
$466$	0.424702	+	1.30710i	0.0196739	+	0.0605501i
$467$	−9.24080	−	12.7189i	−0.427613	−	0.588559i	0.539790	−	0.841800i	$-0.318504\pi$
$467$	−9.24080	−	12.7189i	−0.427613	−	0.588559i	−0.967403	+	0.253241i	$0.918504\pi$
$468$	−1.26068	+	12.3890i	−0.0582748	+	0.572679i
$469$	0.106743	−	0.0346829i	0.00492894	−	0.00160151i
$470$	−1.64943	+	5.07642i	−0.0760825	+	0.234158i
$471$	5.97891	+	9.17344i	0.275494	+	0.422690i
$472$		−	11.3525i		−	0.522543i
$473$	0.505792	+	0.324933i	0.0232563	+	0.0149404i
$474$	−1.93014	+	5.05316i	−0.0886541	+	0.232099i
$475$	−4.21747	+	5.80485i	−0.193511	+	0.266345i
$476$	1.61845	+	0.525866i	0.0741815	+	0.0241030i
$477$	−5.37536	−	2.37197i	−0.246121	−	0.108605i
$478$	−2.22592	+	1.61722i	−0.101811	+	0.0739700i
$479$	8.54553	−	6.20869i	0.390455	−	0.283682i	−0.375187	−	0.926949i	$-0.622421\pi$
$479$	8.54553	−	6.20869i	0.390455	−	0.283682i	0.765642	+	0.643267i	$0.222421\pi$
$480$	−9.29843	−	0.471877i	−0.424413	−	0.0215382i
$481$	2.83551	+	0.921312i	0.129288	+	0.0420082i
$482$	−5.60299	+	7.71186i	−0.255209	+	0.351265i
$483$	2.85120	+	1.08906i	0.129734	+	0.0495541i
$484$	−13.6531	+	12.5391i	−0.620595	+	0.569959i
$485$			18.6994i			0.849094i
$486$	6.75109	−	5.56007i	0.306236	−	0.252210i
$487$	11.1213	−	34.2280i	0.503956	−	1.55102i	−0.298562	−	0.954390i	$-0.596507\pi$
$487$	11.1213	−	34.2280i	0.503956	−	1.55102i	0.802518	−	0.596628i	$-0.203493\pi$
$488$	1.66996	−	0.542602i	0.0755954	−	0.0245624i
$489$	13.9785	−	3.77034i	0.632130	−	0.170501i
$490$	−2.28480	−	3.14476i	−0.103217	−	0.142066i
$491$	2.51408	+	7.73755i	0.113459	+	0.349191i	0.991623	−	0.129170i	$-0.0412312\pi$
$491$	2.51408	+	7.73755i	0.113459	+	0.349191i	−0.878164	+	0.478361i	$0.841231\pi$
$492$	22.7412	−	28.1783i	1.02525	−	1.27038i
$493$	−6.69805	−	4.86642i	−0.301665	−	0.219172i
$494$	−9.91587			−0.446136
$495$	−2.65430	−	9.58930i	−0.119302	−	0.431007i
$496$	−15.1599			−0.680701
$497$	0.544173	+	0.395365i	0.0244095	+	0.0177345i
$498$	−1.58128	+	1.95934i	−0.0708587	+	0.0878000i
$499$	2.40273	+	7.39484i	0.107561	+	0.331038i	0.990323	−	0.138782i	$-0.0443187\pi$
$499$	2.40273	+	7.39484i	0.107561	+	0.331038i	−0.882762	+	0.469820i	$0.844319\pi$
$500$	−0.990547	−	1.36337i	−0.0442986	−	0.0609718i
$501$	−34.8124	+	9.38975i	−1.55530	+	0.419503i
$502$	−8.26331	+	2.68491i	−0.368809	+	0.119833i
$503$	−2.89733	+	8.91707i	−0.129186	+	0.397592i	−0.994640	−	0.103395i	$-0.967030\pi$
$503$	−2.89733	+	8.91707i	−0.129186	+	0.397592i	0.865455	+	0.500987i	$0.167030\pi$
$504$	−1.62347	+	0.350700i	−0.0723150	+	0.0156214i
$505$		−	10.5537i		−	0.469633i
$506$	−4.44472	−	11.4105i	−0.197592	−	0.507260i
$507$	11.2175	+	4.28471i	0.498188	+	0.190291i
$508$	20.1963	−	27.7979i	0.896068	−	1.23333i
$509$	10.5380	+	3.42400i	0.467088	+	0.151766i	0.533099	−	0.846053i	$-0.321027\pi$
$509$	10.5380	+	3.42400i	0.467088	+	0.151766i	−0.0660110	+	0.997819i	$0.521027\pi$
$510$	3.66002	+	0.185739i	0.162068	+	0.00822466i
$511$	1.65374	−	1.20151i	0.0731571	−	0.0531517i
$512$	−17.0073	+	12.3565i	−0.751624	+	0.546087i
$513$	−26.4939	−	26.2321i	−1.16974	−	1.15818i
$514$	−12.2995	−	3.99634i	−0.542507	−	0.176271i
$515$	1.19223	−	1.64096i	0.0525359	−	0.0723094i
$516$	−0.188786	+	0.494249i	−0.00831086	+	0.0217581i
$517$	−24.4233	+	19.9777i	−1.07414	+	0.878617i
$518$			0.181842i			0.00798966i
$519$	−3.82422	−	5.86750i	−0.167865	−	0.257554i
$520$	1.57378	−	4.84359i	0.0690147	−	0.212405i
$521$	12.1704	−	3.95440i	0.533195	−	0.173246i	−0.0300302	−	0.999549i	$-0.509560\pi$
$521$	12.1704	−	3.95440i	0.533195	−	0.173246i	0.563225	+	0.826303i	$0.309560\pi$
$522$	3.67622	+	0.374085i	0.160904	+	0.0163733i
$523$	−19.8308	−	27.2947i	−0.867139	−	1.19351i	−0.979820	−	0.199883i	$-0.935944\pi$
$523$	−19.8308	−	27.2947i	−0.867139	−	1.19351i	0.112681	−	0.993631i	$-0.464056\pi$
$524$	−7.59145	−	23.3641i	−0.331634	−	1.02066i
$525$	−0.360914	−	0.291274i	−0.0157516	−	0.0127122i
$526$	9.85487	+	7.15999i	0.429693	+	0.312190i
$527$	25.8644			1.12667
$528$	−10.3217	−	7.39580i	−0.449192	−	0.321861i
$529$	−20.3075			−0.882936
$530$	0.888955	+	0.645864i	0.0386137	+	0.0280545i
$531$	8.28319	+	14.2378i	0.359460	+	0.617870i
$532$	1.00053	+	3.07932i	0.0433786	+	0.133506i
$533$	17.9608	+	24.7209i	0.777969	+	1.07078i
$534$	1.84104	+	6.82563i	0.0796695	+	0.295374i
$535$	12.8912	−	4.18861i	0.557335	−	0.181089i
$536$	0.267808	−	0.824230i	0.0115676	−	0.0356013i
$537$	2.55328	−	1.66413i	0.110182	−	0.0718126i
$538$			13.8690i			0.597934i
$539$	−1.31566	−	22.9409i	−0.0566695	−	0.988134i
$540$	7.78240	−	4.01414i	0.334901	−	0.172741i
$541$	−10.9782	+	15.1102i	−0.471990	+	0.649639i	−0.976941	−	0.213509i	$-0.931511\pi$
$541$	−10.9782	+	15.1102i	−0.471990	+	0.649639i	0.504951	+	0.863148i	$0.331511\pi$
$542$	−13.6016	−	4.41944i	−0.584240	−	0.189831i
$543$	−0.332906	+	6.55997i	−0.0142863	+	0.281515i
$544$	16.4000	−	11.9153i	0.703142	−	0.510863i
$545$	6.27528	−	4.55926i	0.268803	−	0.195297i
$546$	0.0324846	−	0.640115i	0.00139021	−	0.0273944i
$547$	−2.07526	−	0.674293i	−0.0887318	−	0.0288307i	0.264315	−	0.964436i	$-0.414854\pi$
$547$	−2.07526	−	0.674293i	−0.0887318	−	0.0288307i	−0.353046	+	0.935606i	$0.614854\pi$
$548$	−3.62926	+	4.99524i	−0.155034	+	0.213386i
$549$	−1.69849	+	1.89896i	−0.0724896	+	0.0810458i
$550$	0.106542	+	1.85775i	0.00454296	+	0.0792147i
$551$		−	15.7524i		−	0.671075i
$552$	19.7439	−	12.8684i	0.840356	−	0.547714i
$553$	−0.460588	+	1.41754i	−0.0195862	+	0.0602801i
$554$	−14.7188	+	4.78242i	−0.625340	+	0.203185i
$555$	−0.545961	−	2.02415i	−0.0231748	−	0.0859202i
$556$	11.0506	+	15.2098i	0.468649	+	0.645040i
$557$	9.11439	+	28.0512i	0.386189	+	1.18857i	0.935614	+	0.353025i	$0.114847\pi$
$557$	9.11439	+	28.0512i	0.386189	+	1.18857i	−0.549425	+	0.835543i	$0.685153\pi$
$558$	−9.97809	+	5.80498i	−0.422406	+	0.245744i
$559$	−0.361204	−	0.262430i	−0.0152773	−	0.0110996i
$560$	−0.591876			−0.0250113
$561$	17.6098	+	12.6180i	0.743487	+	0.532733i
$562$	10.8744			0.458709
$563$	−20.5384	−	14.9220i	−0.865591	−	0.628888i	0.0638095	−	0.997962i	$-0.479675\pi$
$563$	−20.5384	−	14.9220i	−0.865591	−	0.628888i	−0.929400	+	0.369074i	$0.879675\pi$
$564$	−21.6097	−	17.4400i	−0.909932	−	0.734358i
$565$	0.906289	+	2.78927i	0.0381279	+	0.117346i
$566$	−5.22760	−	7.19517i	−0.219732	−	0.302436i
$567$	1.78020	−	1.62437i	0.0747613	−	0.0682171i
$568$	4.93962	−	1.60498i	0.207262	−	0.0673435i
$569$	−5.13410	+	15.8011i	−0.215233	+	0.662418i	0.783904	+	0.620882i	$0.213225\pi$
$569$	−5.13410	+	15.8011i	−0.215233	+	0.662418i	−0.999137	+	0.0415366i	$0.986775\pi$
$570$	3.80725	+	5.84146i	0.159468	+	0.244672i
$571$		−	16.4821i		−	0.689756i	−0.938648	−	0.344878i	$-0.887920\pi$
$571$		−	16.4821i		−	0.689756i	0.938648	−	0.344878i	$-0.112080\pi$
$572$	10.6563	−	8.71661i	0.445563	−	0.364460i
$573$	8.54538	−	22.3721i	0.356988	−	0.934608i
$574$	−1.09546	+	1.50777i	−0.0457234	+	0.0629329i
$575$	6.25876	+	2.03359i	0.261008	+	0.0848067i
$576$	1.70158	−	3.85611i	0.0708991	−	0.160671i
$577$	20.1803	−	14.6618i	0.840116	−	0.610380i	−0.0822869	−	0.996609i	$-0.526222\pi$
$577$	20.1803	−	14.6618i	0.840116	−	0.610380i	0.922403	+	0.386229i	$0.126222\pi$
$578$	1.26102	−	0.916184i	0.0524515	−	0.0381082i
$579$	−13.0335	−	0.661424i	−0.541653	−	0.0274878i
$580$	3.51865	+	1.14328i	0.146104	+	0.0474721i
$581$	−0.407792	+	0.561277i	−0.0169180	+	0.0232857i
$582$	16.9753	+	6.48400i	0.703650	+	0.268770i
$583$	2.35764	+	6.05256i	0.0976436	+	0.250671i
$584$		−	15.7840i		−	0.653147i
$585$	1.56028	+	7.22289i	0.0645098	+	0.298630i
$586$	3.62457	−	11.1553i	0.149730	−	0.460820i
$587$	−9.97820	+	3.24211i	−0.411844	+	0.133816i	−0.507609	−	0.861588i	$-0.669470\pi$
$587$	−9.97820	+	3.24211i	−0.411844	+	0.133816i	0.0957644	+	0.995404i	$0.469470\pi$
$588$	19.5252	−	5.26640i	0.805204	−	0.217183i
$589$	28.9253	+	39.8122i	1.19185	+	1.64043i
$590$	−0.951945	−	2.92979i	−0.0391910	−	0.120617i
$591$	1.56841	−	1.94339i	0.0645157	−	0.0799404i
$592$	−2.16451	−	1.57261i	−0.0889610	−	0.0646339i
$593$	5.90159			0.242349			0.121175	−	0.992631i	$-0.461334\pi$
$593$	5.90159			0.242349			0.121175	+	0.992631i	$0.461334\pi$
$594$	−9.62557	−	0.915504i	−0.394942	−	0.0375636i
$595$	1.00980			0.0413979
$596$	15.6375	+	11.3613i	0.640537	+	0.465378i
$597$	3.52486	−	4.36760i	0.144263	−	0.178754i
$598$	2.81036	+	8.64939i	0.114924	+	0.353700i
$599$	7.46551	+	10.2754i	0.305032	+	0.419841i	0.933824	−	0.357733i	$-0.116450\pi$
$599$	7.46551	+	10.2754i	0.305032	+	0.419841i	−0.628792	+	0.777574i	$0.716450\pi$
$600$	−3.45763	+	0.932606i	−0.141157	+	0.0380735i
$601$	−6.19862	+	2.01405i	−0.252847	+	0.0821549i	−0.432698	−	0.901539i	$-0.642438\pi$
$601$	−6.19862	+	2.01405i	−0.252847	+	0.0821549i	0.179851	+	0.983694i	$0.442438\pi$
$602$	0.00841486	−	0.0258983i	0.000342964	−	0.00105553i
$603$	0.265512	+	1.22911i	0.0108125	+	0.0500534i
$604$			14.5343i			0.591391i
$605$	−5.40586	+	9.58002i	−0.219779	+	0.389483i
$606$	−9.58066	−	3.65949i	−0.389188	−	0.148657i
$607$	−4.00608	+	5.51390i	−0.162602	+	0.223802i	−0.882542	−	0.470234i	$-0.844169\pi$
$607$	−4.00608	+	5.51390i	−0.162602	+	0.223802i	0.719940	+	0.694036i	$0.244169\pi$
$608$	36.6815	+	11.9186i	1.48763	+	0.483361i
$609$	1.01689	+	0.0516052i	0.0412065	+	0.00209115i
$610$	0.385472	−	0.280062i	0.0156073	−	0.0113394i
$611$	18.9583	−	13.7740i	0.766970	−	0.557236i
$612$	−7.69706	+	17.4431i	−0.311135	+	0.705094i
$613$	9.64609	+	3.13420i	0.389602	+	0.126589i	0.497266	−	0.867598i	$-0.334337\pi$
$613$	9.64609	+	3.13420i	0.389602	+	0.126589i	−0.107664	+	0.994187i	$0.534337\pi$
$614$	7.36463	−	10.1365i	0.297212	−	0.409077i
$615$	7.66701	−	20.0725i	0.309164	−	0.809401i
$616$	1.54488	+	0.992471i	0.0622451	+	0.0399878i
$617$		−	35.7937i		−	1.44100i	−0.693455	−	0.720500i	$-0.743913\pi$
$617$		−	35.7937i		−	1.44100i	0.693455	−	0.720500i	$-0.256087\pi$
$618$	−1.07626	−	1.65131i	−0.0432937	−	0.0664255i
$619$	−12.9402	+	39.8257i	−0.520109	+	1.60073i	0.253680	+	0.967288i	$0.418359\pi$
$619$	−12.9402	+	39.8257i	−0.520109	+	1.60073i	−0.773789	+	0.633443i	$0.781641\pi$
$620$	−10.9923	+	3.57161i	−0.441461	+	0.143439i
$621$	−15.3727	+	30.5447i	−0.616887	+	1.22572i
$622$	0.424181	+	0.583835i	0.0170081	+	0.0234096i
$623$	0.601962	+	1.85265i	0.0241171	+	0.0742248i
$624$	7.33854	+	5.92255i	0.293777	+	0.237092i
$625$	−0.809017	−	0.587785i	−0.0323607	−	0.0235114i
$626$	13.3104			0.531991
$627$	0.271326	+	41.2175i	0.0108357	+	1.64607i
$628$	10.6538			0.425133
$629$	3.69289	+	2.68304i	0.147245	+	0.106980i
$630$	−0.389566	+	0.226639i	−0.0155207	+	0.00902951i
$631$	4.53227	+	13.9489i	0.180427	+	0.555297i	0.999840	−	0.0179068i	$-0.00570023\pi$
$631$	4.53227	+	13.9489i	0.180427	+	0.555297i	−0.819413	+	0.573204i	$0.805700\pi$
$632$	6.76484	+	9.31100i	0.269091	+	0.370372i
$633$	7.56185	+	28.0355i	0.300556	+	1.11431i
$634$	−12.1390	+	3.94420i	−0.482101	+	0.156644i
$635$	6.30057	−	19.3912i	0.250031	−	0.769515i
$636$	−4.78916	+	3.12140i	−0.189903	+	0.123772i
$637$			17.0656i			0.676162i
$638$	−2.58651	−	3.16209i	−0.102401	−	0.125188i
$639$	−5.02401	+	5.61701i	−0.198747	+	0.222206i
$640$	−6.78244	+	9.33522i	−0.268099	+	0.369007i
$641$	6.53215	+	2.12242i	0.258004	+	0.0838307i	0.435163	−	0.900352i	$-0.356691\pi$
$641$	6.53215	+	2.12242i	0.258004	+	0.0838307i	−0.177159	+	0.984182i	$0.556691\pi$
$642$	0.667594	−	13.1551i	0.0263478	−	0.519189i
$643$	−33.0408	+	24.0055i	−1.30300	+	0.946686i	−0.999980	−	0.00629741i	$-0.997995\pi$
$643$	−33.0408	+	24.0055i	−1.30300	+	0.946686i	−0.303022	+	0.952984i	$0.597995\pi$
$644$	2.40245	−	1.74548i	0.0946698	−	0.0687817i
$645$	−0.0159119	+	0.313548i	−0.000626532	+	0.0123459i
$646$	−14.4385	−	4.69134i	−0.568074	−	0.184578i
$647$	−21.3260	+	29.3527i	−0.838412	+	1.15397i	0.147887	+	0.989004i	$0.452753\pi$
$647$	−21.3260	+	29.3527i	−0.838412	+	1.15397i	−0.986298	+	0.164971i	$0.947247\pi$
$648$	−2.06760	−	18.4932i	−0.0812231	−	0.726482i
$649$	4.62650	−	17.6130i	0.181606	−	0.691371i
$650$		−	1.38197i		−	0.0542052i
$651$	−2.66482	+	1.73683i	−0.104443	+	0.0680719i
$652$	4.35300	−	13.3972i	0.170477	−	0.524673i
$653$	−12.3737	+	4.02045i	−0.484219	+	0.157332i	−0.540946	−	0.841058i	$-0.681934\pi$
$653$	−12.3737	+	4.02045i	−0.484219	+	0.157332i	0.0567270	+	0.998390i	$0.481934\pi$
$654$	−1.96295	−	7.27763i	−0.0767575	−	0.284578i
$655$	−8.56849	−	11.7935i	−0.334799	−	0.460811i
$656$	−8.47360	−	26.0791i	−0.330839	−	1.01822i
$657$	11.5166	+	19.7956i	0.449303	+	0.772300i
$658$	1.15629	+	0.840096i	0.0450770	+	0.0327503i
$659$	−3.12428			−0.121705			−0.0608523	−	0.998147i	$-0.519382\pi$
$659$	−3.12428			−0.121705			−0.0608523	+	0.998147i	$0.519382\pi$
$660$	−9.22653	−	2.93088i	−0.359142	−	0.114084i
$661$	−3.26339			−0.126931			−0.0634655	−	0.997984i	$-0.520215\pi$
$661$	−3.26339			−0.126931			−0.0634655	+	0.997984i	$0.520215\pi$
$662$	−7.34829	−	5.33885i	−0.285599	−	0.207500i
$663$	−12.5203	−	10.1045i	−0.486249	−	0.392426i
$664$	1.65543	+	5.09488i	0.0642431	+	0.197720i
$665$	1.12930	+	1.55435i	0.0437926	+	0.0602753i
$666$	−2.02684	−	0.206247i	−0.0785383	−	0.00799192i
$667$	−13.7405	+	4.46455i	−0.532033	+	0.172868i
$668$	−10.8408	+	33.3646i	−0.419444	+	1.29092i
$669$	−21.5211	−	33.0198i	−0.832055	−	1.27662i
$670$		−	0.235168i		−	0.00908534i
$671$	2.81200	−	0.161268i	0.108556	−	0.00622569i
$672$	−0.889567	+	2.32892i	−0.0343158	+	0.0898399i
$673$	−5.17062	+	7.11675i	−0.199313	+	0.274331i	−0.896961	−	0.442110i	$-0.854230\pi$
$673$	−5.17062	+	7.11675i	−0.199313	+	0.274331i	0.697648	+	0.716441i	$0.254230\pi$
$674$	10.0597	+	3.26860i	0.387485	+	0.125902i
$675$	3.65594	−	3.69244i	0.140717	−	0.142122i
$676$	9.45200	−	6.86728i	0.363538	−	0.264126i
$677$	−20.6961	+	15.0366i	−0.795416	+	0.577904i	−0.909566	−	0.415560i	$-0.863586\pi$
$677$	−20.6961	+	15.0366i	−0.795416	+	0.577904i	0.114150	+	0.993464i	$0.463586\pi$
$678$	2.84636	+	0.144447i	0.109314	+	0.00554747i
$679$	4.76203	+	1.54728i	0.182750	+	0.0593790i
$680$	4.58314	−	6.30815i	0.175756	−	0.241907i
$681$	38.5626	+	14.7296i	1.47772	+	0.564440i
$682$	12.3435	+	3.24232i	0.472655	+	0.124155i
$683$			31.8661i			1.21932i	0.792662	+	0.609661i	$0.208694\pi$
$683$			31.8661i			1.21932i	−0.792662	+	0.609661i	$0.791306\pi$
$684$	−35.4575	+	7.65950i	−1.35575	+	0.292868i
$685$	−1.13220	+	3.48457i	−0.0432593	+	0.133138i
$686$	−1.99006	+	0.646611i	−0.0759810	+	0.0246877i
$687$	−27.7207	+	7.47694i	−1.05761	+	0.285263i
$688$	0.235501	+	0.324139i	0.00897838	+	0.0123577i
$689$	−1.49071	−	4.58795i	−0.0567917	−	0.174787i
$690$	4.01632	−	4.97657i	0.152899	−	0.189455i
$691$	23.0137	+	16.7204i	0.875482	+	0.636075i	0.932052	−	0.362324i	$-0.118017\pi$
$691$	23.0137	+	16.7204i	0.875482	+	0.636075i	−0.0565706	+	0.998399i	$0.518017\pi$
$692$	−6.81436			−0.259043
$693$	−2.66167	−	0.117514i	−0.101108	−	0.00446399i
$694$	−6.62219			−0.251375
$695$	9.02542	+	6.55735i	0.342354	+	0.248734i
$696$	4.93769	−	6.11821i	0.187163	−	0.231910i
$697$	14.4569	+	44.4936i	0.547592	+	1.68532i
$698$	4.71042	+	6.48334i	0.178292	+	0.245398i
$699$	−4.09646	+	1.10492i	−0.154942	+	0.0417917i
$700$	−0.429162	+	0.139443i	−0.0162208	+	0.00527046i
$701$	1.83233	−	5.63933i	0.0692061	−	0.212994i	−0.910472	−	0.413571i	$-0.864281\pi$
$701$	1.83233	−	5.63933i	0.0692061	−	0.212994i	0.979678	+	0.200576i	$0.0642814\pi$
$702$	7.09799	+	1.08811i	0.267896	+	0.0410679i
$703$			8.68489i			0.327557i
$704$	−4.34192	+	1.69130i	−0.163642	+	0.0637432i
$705$	−15.3934	−	5.87976i	−0.579750	−	0.221445i
$706$	1.11208	−	1.53065i	0.0418537	−	0.0576067i
$707$	−2.68763	−	0.873264i	−0.101079	−	0.0328425i
$708$	16.0061	+	0.812276i	0.601545	+	0.0305272i
$709$	18.2975	−	13.2939i	0.687177	−	0.499263i	−0.188554	−	0.982063i	$-0.560380\pi$
$709$	18.2975	−	13.2939i	0.687177	−	0.499263i	0.875731	+	0.482800i	$0.160380\pi$
$710$	1.14020	−	0.828405i	0.0427910	−	0.0310895i
$711$	−15.2778	−	6.74159i	−0.572962	−	0.252829i
$712$	14.3054	+	4.64812i	0.536119	+	0.174196i
$713$	26.5293	−	36.5144i	0.993529	−	1.36748i
$714$	0.350149	−	0.916701i	0.0131040	−	0.0343067i
$715$	4.41556	−	6.87327i	0.165133	−	0.257046i
$716$		−	2.96531i		−	0.110819i
$717$	−4.63790	−	7.11593i	−0.173206	−	0.265749i
$718$	3.58130	−	11.0221i	0.133653	−	0.411342i
$719$	−3.19887	+	1.03938i	−0.119298	+	0.0387622i	−0.368058	−	0.929803i	$-0.619977\pi$
$719$	−3.19887	+	1.03938i	−0.119298	+	0.0387622i	0.248760	+	0.968565i	$0.419977\pi$
$720$	0.671314	−	6.59715i	0.0250184	−	0.245861i
$721$	−0.319241	−	0.439397i	−0.0118892	−	0.0163640i
$722$	−5.63181	−	17.3329i	−0.209594	−	0.645064i
$723$	−22.9003	−	18.4816i	−0.851673	−	0.687340i
$724$	5.17028	+	3.75643i	0.192152	+	0.139606i
$725$	2.19540			0.0815350
$726$	6.82228	+	8.22932i	0.253199	+	0.305419i
$727$	20.2830			0.752254			0.376127	−	0.926568i	$-0.377256\pi$
$727$	20.2830			0.752254			0.376127	+	0.926568i	$0.377256\pi$
$728$	−1.10326	−	0.801564i	−0.0408895	−	0.0297079i
$729$	16.0864	+	21.6848i	0.595791	+	0.803139i
$730$	−1.32354	−	4.07343i	−0.0489863	−	0.150764i
$731$	−0.401789	−	0.553015i	−0.0148607	−	0.0204540i
$732$	0.645534	+	2.39331i	0.0238596	+	0.0884594i
$733$	32.0577	−	10.4162i	1.18408	−	0.384730i	0.350198	−	0.936676i	$-0.386114\pi$
$733$	32.0577	−	10.4162i	1.18408	−	0.384730i	0.833880	+	0.551945i	$0.186114\pi$
$734$	−4.31578	+	13.2826i	−0.159298	+	0.490270i
$735$	10.0534	−	6.55241i	0.370824	−	0.241689i
$736$		−	35.3744i		−	1.30392i
$737$	0.751392	−	1.16962i	0.0276779	−	0.0430835i
$738$	−15.5633	−	13.9203i	−0.572894	−	0.512412i
$739$	13.7763	−	18.9615i	0.506770	−	0.697509i	−0.476601	−	0.879120i	$-0.658131\pi$
$739$	13.7763	−	18.9615i	0.506770	−	0.697509i	0.983370	+	0.181611i	$0.0581313\pi$
$740$	−1.93996	−	0.630333i	−0.0713145	−	0.0231715i
$741$	1.55149	−	30.5724i	0.0569954	−	1.12310i
$742$	0.238034	−	0.172942i	0.00873849	−	0.00634889i
$743$	−7.73729	+	5.62147i	−0.283854	+	0.206232i	−0.720597	−	0.693355i	$-0.756132\pi$
$743$	−7.73729	+	5.62147i	−0.283854	+	0.206232i	0.436743	+	0.899586i	$0.356132\pi$
$744$	−1.24484	+	24.5298i	−0.0456381	+	0.899307i
$745$	10.9084	+	3.54434i	0.399652	+	0.129855i
$746$	7.36631	−	10.1389i	0.269700	−	0.371210i
$747$	−5.79356	−	5.18192i	−0.211975	−	0.189597i
$748$	19.6406	−	7.65057i	0.718131	−	0.279732i
$749$		−	3.62949i		−	0.132619i
$750$	−0.814119	+	0.530613i	−0.0297274	+	0.0193753i
$751$	0.0841462	−	0.258975i	0.00307054	−	0.00945014i	−0.949510	−	0.313738i	$-0.898419\pi$
$751$	0.0841462	−	0.258975i	0.00307054	−	0.00945014i	0.952580	+	0.304288i	$0.0984186\pi$
$752$	−19.9998	+	6.49833i	−0.729318	+	0.236970i
$753$	−6.98513	−	25.8973i	−0.254552	−	0.943751i
$754$	1.78332	+	2.45453i	0.0649447	+	0.0893887i
$755$	2.66513	+	8.20244i	0.0969942	+	0.298517i
$756$	−0.378296	−	2.31404i	−0.0137585	−	0.0841607i
$757$	−21.5853	−	15.6826i	−0.784531	−	0.569995i	0.121805	−	0.992554i	$-0.461132\pi$
$757$	−21.5853	−	15.6826i	−0.784531	−	0.569995i	−0.906335	+	0.422559i	$0.861132\pi$
$758$	−4.30228			−0.156266
$759$	35.8761	−	11.9185i	1.30222	−	0.432615i
$760$	14.8355			0.538138
$761$	−7.81465	−	5.67767i	−0.283281	−	0.205816i	0.437066	−	0.899429i	$-0.356017\pi$
$761$	−7.81465	−	5.67767i	−0.283281	−	0.205816i	−0.720347	+	0.693614i	$0.756017\pi$
$762$	−15.4186	−	12.4436i	−0.558558	−	0.450782i
$763$	−0.641825	−	1.97533i	−0.0232356	−	0.0715119i
$764$	−13.6960	−	18.8509i	−0.495504	−	0.682003i
$765$	−1.14533	+	11.2554i	−0.0414096	+	0.406941i
$766$	12.8207	−	4.16570i	0.463231	−	0.150513i
$767$	−4.17928	+	12.8625i	−0.150905	+	0.464438i
$768$	3.46528	+	5.31677i	0.125043	+	0.191853i
$769$		−	1.13921i		−	0.0410809i	−0.999789	−	0.0205405i	$-0.993461\pi$
$769$		−	1.13921i		−	0.0410809i	0.999789	−	0.0205405i	$-0.00653869\pi$
$770$	0.481915	+	0.126587i	0.0173670	+	0.00456188i
$771$	14.2459	−	37.2962i	0.513052	−	1.34319i
$772$	−7.46334	+	10.2724i	−0.268612	+	0.369712i
$773$	−34.5364	−	11.2215i	−1.24219	−	0.403611i	−0.387072	−	0.922050i	$-0.626514\pi$
$773$	−34.5364	−	11.2215i	−1.24219	−	0.403611i	−0.855115	+	0.518439i	$0.826514\pi$
$774$	0.279122	+	0.123168i	0.0100328	+	0.00442717i
$775$	−5.54859	+	4.03129i	−0.199311	+	0.144808i
$776$	31.2789	−	22.7254i	1.12285	−	0.815796i
$777$	−0.560650	−	0.0284519i	−0.0201132	−	0.00102071i
$778$	−14.0635	−	4.56951i	−0.504201	−	0.163825i
$779$	−52.3198	+	72.0120i	−1.87455	+	2.58010i
$780$	6.71642	+	2.56544i	0.240486	+	0.0918576i
$781$	8.31771	−	0.477021i	0.297631	−	0.0170691i
$782$			13.9240i			0.497920i
$783$	−1.72857	+	11.2759i	−0.0617741	+	0.402968i
$784$	4.73239	−	14.5648i	0.169014	−	0.520172i
$785$	6.01249	−	1.95358i	0.214595	−	0.0697261i
$786$	−13.6773	+	3.68910i	−0.487853	+	0.131586i
$787$	−7.74724	−	10.6632i	−0.276159	−	0.380101i	0.648298	−	0.761387i	$-0.275481\pi$
$787$	−7.74724	−	10.6632i	−0.276159	−	0.380101i	−0.924457	+	0.381286i	$0.875481\pi$
$788$	−0.750853	−	2.31089i	−0.0267480	−	0.0823219i
$789$	−23.6174	+	29.2640i	−0.840803	+	1.04183i
$790$	2.52658	+	1.83567i	0.0898917	+	0.0653101i
$791$	0.785314			0.0279225
$792$	−12.8145	+	16.0939i	−0.455343	+	0.571870i
$793$	−2.09183			−0.0742829
$794$	0.749577	+	0.544600i	0.0266015	+	0.0193271i
$795$	−2.13040	+	2.63975i	−0.0755576	+	0.0936223i
$796$	−1.68748	−	5.19352i	−0.0598110	−	0.184079i
$797$	−15.4667	−	21.2880i	−0.547857	−	0.754061i	0.441862	−	0.897083i	$-0.354318\pi$
$797$	−15.4667	−	21.2880i	−0.547857	−	0.754061i	−0.989720	+	0.143022i	$0.954318\pi$
$798$	1.80263	−	0.486214i	0.0638125	−	0.0172118i
$799$	34.1218	−	11.0868i	1.20714	−	0.392224i
$800$	−1.66108	+	5.11227i	−0.0587280	+	0.180746i
$801$	−21.3327	+	4.60827i	−0.753753	+	0.162825i
$802$		−	5.21651i		−	0.184201i
$803$	6.43246	−	24.4883i	0.226997	−	0.864173i
$804$	1.14293	+	0.436560i	0.0403080	+	0.0153963i
$805$	1.03576	−	1.42560i	0.0365057	−	0.0502458i
$806$	−9.01423	−	2.92890i	−0.317513	−	0.103166i
$807$	−42.7605	−	2.17001i	−1.50524	−	0.0763880i
$808$	−17.6534	+	12.8260i	−0.621045	+	0.451216i
$809$	25.8066	−	18.7496i	0.907312	−	0.659201i	−0.0330214	−	0.999455i	$-0.510513\pi$
$809$	25.8066	−	18.7496i	0.907312	−	0.659201i	0.940334	+	0.340254i	$0.110513\pi$
$810$	−2.08430	−	4.59923i	−0.0732350	−	0.161600i
$811$	−30.0560	−	9.76580i	−1.05541	−	0.342923i	−0.270621	−	0.962686i	$-0.587229\pi$
$811$	−30.0560	−	9.76580i	−1.05541	−	0.342923i	−0.784789	+	0.619763i	$0.787229\pi$
$812$	0.582301	−	0.801468i	0.0204347	−	0.0281260i
$813$	15.7541	−	41.2447i	0.552520	−	1.44652i
$814$	1.42604	+	1.74338i	0.0499827	+	0.0611054i
$815$		−	8.35891i		−	0.292800i
$816$	7.88359	+	12.0958i	0.275981	+	0.423437i
$817$	0.401900	−	1.23692i	0.0140607	−	0.0432744i
$818$	−7.00789	+	2.27700i	−0.245025	+	0.0796135i
$819$	1.96851	+	0.200312i	0.0687852	+	0.00699945i
$820$	−12.2882	−	16.9133i	−0.429123	−	0.590638i
$821$	−12.5257	−	38.5501i	−0.437149	−	1.34541i	−0.890868	−	0.454262i	$-0.849903\pi$
$821$	−12.5257	−	38.5501i	−0.437149	−	1.34541i	0.453719	−	0.891145i	$-0.350097\pi$
$822$	2.77071	+	2.23609i	0.0966395	+	0.0779926i
$823$	−2.68157	−	1.94827i	−0.0934736	−	0.0679125i	0.540067	−	0.841622i	$-0.318399\pi$
$823$	−2.68157	−	1.94827i	−0.0934736	−	0.0679125i	−0.633540	+	0.773710i	$0.718399\pi$
$824$	−4.19380			−0.146098
$825$	−5.74444	+	0.0378144i	−0.199996	+	0.00131653i
$826$	−0.824875			−0.0287011
$827$	32.3370	+	23.4942i	1.12447	+	0.816973i	0.984880	−	0.173237i	$-0.0554227\pi$
$827$	32.3370	+	23.4942i	1.12447	+	0.816973i	0.139586	+	0.990210i	$0.455423\pi$
$828$	16.7306	+	28.7579i	0.581427	+	0.999405i
$829$	−4.83903	−	14.8930i	−0.168067	−	0.517256i	0.831183	−	0.556000i	$-0.187664\pi$
$829$	−4.83903	−	14.8930i	−0.168067	−	0.517256i	−0.999249	+	0.0387437i	$0.987664\pi$
$830$	0.854443	+	1.17604i	0.0296582	+	0.0408210i
$831$	−12.4421	−	46.1288i	−0.431610	−	1.60019i
$832$	3.29125	−	1.06939i	0.114104	−	0.0370745i
$833$	−8.07396	+	24.8491i	−0.279746	+	0.860970i
$834$	9.08234	−	5.91954i	0.314496	−	0.204977i
$835$			20.8172i			0.720410i
$836$	33.7412	+	21.6762i	1.16696	+	0.749686i
$837$	−16.3366	−	31.6725i	−0.564674	−	1.09476i
$838$	12.1682	−	16.7481i	0.420344	−	0.578554i
$839$	22.4895	+	7.30729i	0.776425	+	0.252276i	0.670313	−	0.742078i	$-0.266160\pi$
$839$	22.4895	+	7.30729i	0.776425	+	0.252276i	0.106112	+	0.994354i	$0.466160\pi$
$840$	−0.0486012	+	0.957697i	−0.00167690	+	0.0330437i
$841$	19.5622	−	14.2128i	0.674559	−	0.490096i
$842$	13.3268	−	9.68246i	0.459271	−	0.333680i
$843$	−1.70147	+	33.5277i	−0.0586016	+	1.15476i
$844$	26.8695	+	8.73043i	0.924887	+	0.300514i
$845$	4.07501	−	5.60876i	0.140184	−	0.192947i
$846$	−10.6753	+	11.9354i	−0.367025	+	0.410347i
$847$	1.99236	+	2.16937i	0.0684585	+	0.0745403i
$848$			4.32903i			0.148659i
$849$	23.0019	−	14.9918i	0.789424	−	0.514518i
$850$	0.653828	−	2.01228i	0.0224261	−	0.0690205i
$851$	7.57563	−	2.46147i	0.259689	−	0.0843782i
$852$	1.90945	+	7.07926i	0.0654166	+	0.242532i
$853$	−13.3183	−	18.3310i	−0.456008	−	0.627642i	0.517667	−	0.855582i	$-0.326801\pi$
$853$	−13.3183	−	18.3310i	−0.456008	−	0.627642i	−0.973675	+	0.227941i	$0.926801\pi$
$854$	−0.0394254	−	0.121339i	−0.00134911	−	0.00415214i
$855$	−18.6060	+	10.8244i	−0.636311	+	0.370188i
$856$	−22.6731	−	16.4730i	−0.774952	−	0.563036i
$857$	−32.2688			−1.10228			−0.551140	−	0.834413i	$-0.685807\pi$
$857$	−32.2688			−1.10228			−0.551140	+	0.834413i	$0.685807\pi$
$858$	−4.70848	−	6.39176i	−0.160745	−	0.218211i
$859$	−5.71807			−0.195098			−0.0975491	−	0.995231i	$-0.531100\pi$
$859$	−5.71807			−0.195098			−0.0975491	+	0.995231i	$0.531100\pi$
$860$	0.247125	+	0.179547i	0.00842688	+	0.00612249i
$861$	−4.47731	−	3.61340i	−0.152586	−	0.123144i
$862$	5.88790	+	18.1211i	0.200543	+	0.617207i
$863$	−28.7130	−	39.5200i	−0.977401	−	1.34528i	−0.938218	−	0.346046i	$-0.887524\pi$
$863$	−28.7130	−	39.5200i	−0.977401	−	1.34528i	−0.0391838	−	0.999232i	$-0.512476\pi$
$864$	−24.9495	−	12.5568i	−0.848800	−	0.427189i
$865$	−3.84569	+	1.24954i	−0.130758	+	0.0424857i
$866$	−5.92246	+	18.2275i	−0.201253	+	0.619394i
$867$	2.62745	+	4.03130i	0.0892329	+	0.136910i
$868$			3.09486i			0.105046i
$869$	6.70087	+	17.2025i	0.227311	+	0.583556i
$870$	0.761253	−	1.99299i	0.0258089	−	0.0675686i
$871$	−0.606858	+	0.835268i	−0.0205626	+	0.0283020i
$872$	−15.2528	−	4.95593i	−0.516524	−	0.167829i
$873$	−22.6474	+	51.3234i	−0.766497	+	1.73703i
$874$	−21.4327	+	15.5718i	−0.724972	+	0.526723i
$875$	−0.216629	+	0.157390i	−0.00732339	+	0.00532076i
$876$	22.2540	+	1.12935i	0.751895	+	0.0381572i
$877$	21.9146	+	7.12047i	0.740002	+	0.240441i	0.654674	−	0.755912i	$-0.272806\pi$
$877$	21.9146	+	7.12047i	0.740002	+	0.240441i	0.0853283	+	0.996353i	$0.472806\pi$
$878$	−11.1190	+	15.3040i	−0.375249	+	0.516486i
$879$	33.8266	+	12.9206i	1.14094	+	0.435801i
$880$	−5.67452	+	4.64162i	−0.191288	+	0.156469i
$881$			21.7744i			0.733599i	0.930300	+	0.366800i	$0.119547\pi$
$881$			21.7744i			0.733599i	−0.930300	+	0.366800i	$0.880453\pi$
$882$	−2.46230	−	11.3985i	−0.0829098	−	0.383808i
$883$	−3.04912	+	9.38424i	−0.102611	+	0.315805i	−0.989162	−	0.146826i	$-0.953094\pi$
$883$	−3.04912	+	9.38424i	−0.102611	+	0.315805i	0.886551	+	0.462631i	$0.153094\pi$
$884$	−14.8879	+	4.83738i	−0.500735	+	0.162699i
$885$	9.18199	−	2.47660i	0.308649	−	0.0832502i
$886$	2.66973	+	3.67457i	0.0896914	+	0.123450i
$887$	−4.47768	−	13.7809i	−0.150346	−	0.462717i	0.847314	−	0.531093i	$-0.178218\pi$
$887$	−4.47768	−	13.7809i	−0.150346	−	0.462717i	−0.997660	+	0.0683756i	$0.978218\pi$
$888$	−2.72233	+	3.37320i	−0.0913555	+	0.113197i
$889$	−4.41686	−	3.20904i	−0.148137	−	0.107628i
$890$	4.08161			0.136816
$891$	4.32873	−	29.5341i	0.145018	−	0.989429i
$892$	−38.3484			−1.28400
$893$	55.2254	+	40.1236i	1.84805	+	1.34269i
$894$	7.00004	−	8.67364i	0.234116	−	0.290090i
$895$	−0.543746	−	1.67348i	−0.0181754	−	0.0559382i
$896$	1.81612	+	2.49967i	0.0606723	+	0.0835083i
$897$	−27.1073	+	7.31150i	−0.905087	+	0.244124i
$898$	−1.61018	+	0.523181i	−0.0537325	+	0.0174588i
$899$	4.65287	−	14.3201i	0.155182	−	0.477601i
$900$	−1.06750	−	4.94167i	−0.0355832	−	0.164722i
$901$		−	7.38577i		−	0.246056i
$902$	1.32170	+	23.0463i	0.0440079	+	0.767357i
$903$	0.0785323	+	0.0299967i	0.00261339	+	0.000998226i
$904$	3.56427	−	4.90579i	0.118546	−	0.163164i
$905$	3.60667	+	1.17188i	0.119890	+	0.0389545i
$906$	8.37033	+	0.424778i	0.278086	+	0.0141123i
$907$	19.1998	−	13.9494i	0.637518	−	0.463184i	−0.221479	−	0.975165i	$-0.571088\pi$
$907$	19.1998	−	13.9494i	0.637518	−	0.463184i	0.858996	+	0.511982i	$0.171088\pi$
$908$	32.4932	−	23.6077i	1.07833	−	0.783450i
$909$	12.7819	−	28.9663i	0.423949	−	0.960751i
$910$	−0.351935	−	0.114351i	−0.0116665	−	0.00379069i
$911$	9.88739	−	13.6088i	0.327584	−	0.450880i	−0.613180	−	0.789943i	$-0.710110\pi$
$911$	9.88739	−	13.6088i	0.327584	−	0.450880i	0.940764	+	0.339063i	$0.110110\pi$
$912$	−9.80207	+	25.6622i	−0.324579	+	0.849759i
$913$	0.492014	+	8.57915i	0.0162833	+	0.283928i
$914$			1.17780i			0.0389583i
$915$	0.803168	+	1.23230i	0.0265519	+	0.0407385i
$916$	−8.63241	+	26.5678i	−0.285223	+	0.877826i
$917$	−3.71237	+	1.20622i	−0.122593	+	0.0398329i
$918$	9.82056	+	4.94255i	0.324127	+	0.163128i
$919$	−5.09382	−	7.01104i	−0.168029	−	0.231273i	0.716695	−	0.697386i	$-0.245654\pi$
$919$	−5.09382	−	7.01104i	−0.168029	−	0.231273i	−0.884725	+	0.466114i	$0.845654\pi$
$920$	−4.20466	−	12.9406i	−0.138624	−	0.426640i
$921$	30.1004	+	24.2925i	0.991843	+	0.800464i
$922$	15.6106	+	11.3418i	0.514108	+	0.373521i
$923$	−6.18748			−0.203663
$924$	−1.50983	+	2.10714i	−0.0496698	+	0.0693197i
$925$	−1.21041			−0.0397979
$926$	9.81639	+	7.13202i	0.322586	+	0.234373i
$927$	5.25968	−	3.05994i	0.172751	−	0.100502i
$928$	−3.64673	−	11.2235i	−0.119710	−	0.368428i
$929$	−5.75783	−	7.92497i	−0.188908	−	0.260010i	0.704049	−	0.710151i	$-0.251374\pi$
$929$	−5.75783	−	7.92497i	−0.188908	−	0.260010i	−0.892957	+	0.450141i	$0.851374\pi$
$930$	1.73564	+	6.43487i	0.0569139	+	0.211008i
$931$	−47.2788	+	15.3618i	−1.54950	+	0.503463i
$932$	−1.27567	+	3.92610i	−0.0417858	+	0.128604i
$933$	−1.86643	+	1.21647i	−0.0611043	+	0.0398256i
$934$			8.82053i			0.288616i
$935$	9.68133	−	7.91909i	0.316613	−	0.258982i
$936$	10.1857	−	11.3880i	0.332930	−	0.372227i
$937$	3.60653	−	4.96396i	0.117820	−	0.162166i	−0.746033	−	0.665908i	$-0.768044\pi$
$937$	3.60653	−	4.96396i	0.117820	−	0.162166i	0.863854	+	0.503743i	$0.168044\pi$
$938$	−0.0598885	−	0.0194590i	−0.00195543	−	0.000635358i
$939$	−2.08262	+	41.0384i	−0.0679636	+	1.33924i
$940$	−12.9707	+	9.42373i	−0.423056	+	0.307368i
$941$	0.827605	−	0.601290i	0.0269792	−	0.0196015i	−0.574214	−	0.818705i	$-0.694692\pi$
$941$	0.827605	−	0.601290i	0.0269792	−	0.0196015i	0.601193	+	0.799104i	$0.294692\pi$
$942$	0.311367	−	6.13555i	0.0101449	−	0.199907i
$943$	77.6429	+	25.2277i	2.52840	+	0.821527i
$944$	7.13372	−	9.81873i	0.232183	−	0.319572i
$945$	−0.637814	−	1.23656i	−0.0207481	−	0.0402254i
$946$	−0.122424	−	0.314287i	−0.00398033	−	0.0102183i
$947$			21.6769i			0.704404i	0.935924	+	0.352202i	$0.114567\pi$
$947$			21.6769i			0.704404i	−0.935924	+	0.352202i	$0.885433\pi$
$948$	−13.6117	+	8.87162i	−0.442088	+	0.288137i
$949$	−5.81067	+	17.8834i	−0.188622	+	0.580520i
$950$	3.82863	−	1.24400i	0.124217	−	0.0403606i
$951$	−10.2613	−	38.0438i	−0.332746	−	1.23365i
$952$	−1.22722	−	1.68912i	−0.0397744	−	0.0547448i
$953$	−12.9538	−	39.8678i	−0.419616	−	1.29145i	−0.908056	−	0.418848i	$-0.862434\pi$
$953$	−12.9538	−	39.8678i	−0.419616	−	1.29145i	0.488440	−	0.872598i	$-0.337566\pi$
$954$	1.65766	+	2.84932i	0.0536686	+	0.0922500i
$955$	−11.1860	−	8.12714i	−0.361972	−	0.262988i
$956$	−8.26426			−0.267285
$957$	10.1540	−	7.47991i	0.328232	−	0.241791i
$958$	−5.92632			−0.191471
$959$	0.793705	+	0.576660i	0.0256301	+	0.0186213i
$960$	−1.89367	−	1.52828i	−0.0611181	−	0.0493252i
$961$	4.95606	+	15.2532i	0.159873	+	0.492038i
$962$	−0.983211	−	1.35327i	−0.0317000	−	0.0436313i
$963$	40.4549	+	4.11662i	1.30364	+	0.132656i
$964$	−27.2308	+	8.84782i	−0.877045	+	0.284969i
$965$	−2.32831	+	7.16580i	−0.0749509	+	0.230675i
$966$	−0.935015	−	1.43459i	−0.0300836	−	0.0461572i
$967$			1.51551i			0.0487355i	0.999703	+	0.0243678i	$0.00775727\pi$
$967$			1.51551i			0.0487355i	−0.999703	+	0.0243678i	$0.992243\pi$
$968$	22.5945	−	2.60014i	0.726215	−	0.0835718i
$969$	16.7234	−	43.7823i	0.537232	−	1.40649i
$970$	6.16665	−	8.48766i	0.197999	−	0.272522i
$971$	3.29270	+	1.06986i	0.105668	+	0.0343336i	0.361374	−	0.932421i	$-0.382308\pi$
$971$	3.29270	+	1.06986i	0.105668	+	0.0343336i	−0.255706	+	0.966755i	$0.582308\pi$
$972$	26.2217	−	1.59194i	0.841061	−	0.0510616i
$973$	2.41672	−	1.75585i	0.0774764	−	0.0562899i
$974$	−16.3356	+	11.8685i	−0.523428	+	0.380293i
$975$	4.26085	+	0.216230i	0.136456	+	0.00692489i
$976$	1.78530	+	0.580078i	0.0571459	+	0.0185678i
$977$	25.9758	−	35.7526i	0.831039	−	1.14383i	−0.156690	−	0.987648i	$-0.550082\pi$
$977$	25.9758	−	35.7526i	0.831039	−	1.14383i	0.987729	−	0.156179i	$-0.0499177\pi$
$978$	−7.58824	−	2.89845i	−0.242645	−	0.0926822i
$979$	20.3001	+	13.0413i	0.648793	+	0.416801i
$980$		−	11.6757i		−	0.372967i
$981$	22.7454	−	4.91343i	0.726203	−	0.156874i
$982$	1.41053	−	4.34118i	0.0450119	−	0.138532i
$983$	−25.7179	+	8.35625i	−0.820273	+	0.266523i	−0.688943	−	0.724816i	$-0.741925\pi$
$983$	−25.7179	+	8.35625i	−0.820273	+	0.266523i	−0.131330	+	0.991339i	$0.541925\pi$
$984$	−42.8936	+	11.5694i	−1.36740	+	0.368820i
$985$	−0.847490	−	1.16647i	−0.0270033	−	0.0371668i
$986$	1.43541	+	4.41775i	0.0457129	+	0.140690i
$987$	−2.77108	+	3.43361i	−0.0882045	+	0.109293i
$988$	−24.0958	−	17.5066i	−0.766590	−	0.556960i
$989$	−1.19284			−0.0379302
$990$	−1.95755	+	5.22793i	−0.0622152	+	0.166154i
$991$	−10.2731			−0.326335			−0.163168	−	0.986598i	$-0.552171\pi$
$991$	−10.2731			−0.326335			−0.163168	+	0.986598i	$0.552171\pi$
$992$	29.8257	+	21.6696i	0.946966	+	0.688011i
$993$	17.6104	−	21.8207i	0.558848	−	0.692460i
$994$	−0.116618	−	0.358913i	−0.00369889	−	0.0113840i
$995$	−1.90466	−	2.62154i	−0.0603818	−	0.0831084i
$996$	−7.30178	+	1.96947i	−0.231366	+	0.0624049i
$997$	−38.2873	+	12.4403i	−1.21257	+	0.393988i	−0.844372	−	0.535758i	$-0.820026\pi$
$997$	−38.2873	+	12.4403i	−1.21257	+	0.393988i	−0.368200	+	0.929747i	$0.620026\pi$
$998$	1.34806	−	4.14889i	0.0426720	−	0.131331i
$999$	0.953026	−	6.21683i	0.0301524	−	0.196692i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.p.a.161.2	yes	16
3.2	odd	2	inner	165.2.p.a.161.3	yes	16
5.2	odd	4		825.2.bs.f.524.3		16
5.3	odd	4		825.2.bs.e.524.2		16
5.4	even	2		825.2.bi.d.326.3		16
11.8	odd	10	inner	165.2.p.a.41.3	yes	16
15.2	even	4		825.2.bs.e.524.1		16
15.8	even	4		825.2.bs.f.524.4		16
15.14	odd	2		825.2.bi.d.326.2		16
33.8	even	10	inner	165.2.p.a.41.2	✓	16
55.8	even	20		825.2.bs.e.74.1		16
55.19	odd	10		825.2.bi.d.701.2		16
55.52	even	20		825.2.bs.f.74.4		16
165.8	odd	20		825.2.bs.f.74.3		16
165.74	even	10		825.2.bi.d.701.3		16
165.107	odd	20		825.2.bs.e.74.2		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.p.a.41.2	✓	16	33.8	even	10	inner
165.2.p.a.41.3	yes	16	11.8	odd	10	inner
165.2.p.a.161.2	yes	16	1.1	even	1	trivial
165.2.p.a.161.3	yes	16	3.2	odd	2	inner
825.2.bi.d.326.2		16	15.14	odd	2
825.2.bi.d.326.3		16	5.4	even	2
825.2.bi.d.701.2		16	55.19	odd	10
825.2.bi.d.701.3		16	165.74	even	10
825.2.bs.e.74.1		16	55.8	even	20
825.2.bs.e.74.2		16	165.107	odd	20
825.2.bs.e.524.1		16	15.2	even	4
825.2.bs.e.524.2		16	5.3	odd	4
825.2.bs.f.74.3		16	165.8	odd	20
825.2.bs.f.74.4		16	55.52	even	20
825.2.bs.f.524.3		16	5.2	odd	4
825.2.bs.f.524.4		16	15.8	even	4

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:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.p (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.453901 - 0.329779i) q^{2} +(1.08779 - 1.34786i) q^{3} +(-0.520762 - 1.60274i) q^{4} +(-0.587785 - 0.809017i) q^{5} +(-0.938242 + 0.253067i) q^{6} +(-0.254663 + 0.0827449i) q^{7} +(-0.638924 + 1.96641i) q^{8} +(-0.633446 - 2.93236i) q^{9} +O(q^{10})\)	\(q+(-0.453901 - 0.329779i) q^{2} +(1.08779 - 1.34786i) q^{3} +(-0.520762 - 1.60274i) q^{4} +(-0.587785 - 0.809017i) q^{5} +(-0.938242 + 0.253067i) q^{6} +(-0.254663 + 0.0827449i) q^{7} +(-0.638924 + 1.96641i) q^{8} +(-0.633446 - 2.93236i) q^{9} +0.561053i q^{10} +(-1.79264 + 2.79042i) q^{11} +(-2.72674 - 1.04152i) q^{12} +(1.44781 - 1.99274i) q^{13} +(0.142879 + 0.0464242i) q^{14} +(-1.72982 - 0.0877853i) q^{15} +(-1.78826 + 1.29924i) q^{16} +(3.05095 - 2.21665i) q^{17} +(-0.679508 + 1.53990i) q^{18} +(6.82402 + 2.21726i) q^{19} +(-0.990547 + 1.36337i) q^{20} +(-0.165490 + 0.433258i) q^{21} +(1.73390 - 0.675403i) q^{22} -6.58084i q^{23} +(1.95543 + 3.00021i) q^{24} +(-0.309017 + 0.951057i) q^{25} +(-1.31433 + 0.427051i) q^{26} +(-4.64146 - 2.33598i) q^{27} +(0.265237 + 0.365067i) q^{28} +(-0.678415 - 2.08795i) q^{29} +(0.756220 + 0.610305i) q^{30} +(5.54859 + 4.03129i) q^{31} +5.37536 q^{32} +(1.81109 + 5.45160i) q^{33} -2.11583 q^{34} +(0.216629 + 0.157390i) q^{35} +(-4.36994 + 2.54231i) q^{36} +(0.374036 + 1.15116i) q^{37} +(-2.36623 - 3.25683i) q^{38} +(-1.11103 - 4.11912i) q^{39} +(1.96641 - 0.638924i) q^{40} +(-3.83351 + 11.7983i) q^{41} +(0.217995 - 0.142081i) q^{42} -0.181260i q^{43} +(5.40586 + 1.41998i) q^{44} +(-2.00000 + 2.23607i) q^{45} +(-2.17022 + 2.98705i) q^{46} +(9.04803 + 2.93988i) q^{47} +(-0.194041 + 3.82361i) q^{48} +(-5.60511 + 4.07235i) q^{49} +(0.453901 - 0.329779i) q^{50} +(0.331054 - 6.52349i) q^{51} +(-3.94781 - 1.28272i) q^{52} +(1.15116 - 1.58444i) q^{53} +(1.33641 + 2.59096i) q^{54} +(3.31118 - 0.189896i) q^{55} -0.553638i q^{56} +(10.4116 - 6.78591i) q^{57} +(-0.380627 + 1.17145i) q^{58} +(-5.22194 + 1.69671i) q^{59} +(0.760129 + 2.81817i) q^{60} +(-0.499172 - 0.687052i) q^{61} +(-1.18908 - 3.65961i) q^{62} +(0.403953 + 0.694348i) q^{63} +(1.13663 + 0.825809i) q^{64} -2.46317 q^{65} +(0.975764 - 3.07175i) q^{66} -0.419155 q^{67} +(-5.14152 - 3.73554i) q^{68} +(-8.87005 - 7.15855i) q^{69} +(-0.0464242 - 0.142879i) q^{70} +(-1.47652 - 2.03225i) q^{71} +(6.17094 + 0.627944i) q^{72} +(-7.26034 + 2.35903i) q^{73} +(0.209854 - 0.645864i) q^{74} +(0.945746 + 1.45106i) q^{75} -12.0918i q^{76} +(0.225624 - 0.858947i) q^{77} +(-0.854102 + 2.23607i) q^{78} +(3.27183 - 4.50328i) q^{79} +(2.10222 + 0.683053i) q^{80} +(-8.19749 + 3.71499i) q^{81} +(5.63087 - 4.09106i) q^{82} +(2.09613 - 1.52293i) q^{83} +(0.780580 + 0.0396129i) q^{84} +(-3.58661 - 1.16536i) q^{85} +(-0.0597756 + 0.0822741i) q^{86} +(-3.55223 - 1.35683i) q^{87} +(-4.34175 - 5.30792i) q^{88} -7.27491i q^{89} +(1.64521 - 0.355397i) q^{90} +(-0.203814 + 0.627276i) q^{91} +(-10.5474 + 3.42705i) q^{92} +(11.4693 - 3.09354i) q^{93} +(-3.13740 - 4.31826i) q^{94} +(-2.21726 - 6.82402i) q^{95} +(5.84724 - 7.24523i) q^{96} +(-15.1281 - 10.9912i) q^{97} +3.88714 q^{98} +(9.31807 + 3.48907i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9}+O(q^{10}) \) 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9	\( 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9} + 4 q^{12} - 12 q^{15} - 16 q^{16} + 20 q^{18} + 40 q^{19} + 30 q^{22} - 70 q^{24} + 4 q^{25} - 4 q^{27} - 110 q^{28} - 10 q^{30} + 10 q^{31} + 12 q^{33} + 100 q^{34} + 40 q^{36} - 2 q^{37} - 10 q^{39} + 50 q^{40} - 10 q^{42} - 32 q^{45} - 40 q^{46} + 22 q^{48} + 42 q^{49} - 40 q^{52} + 6 q^{55} + 40 q^{57} - 20 q^{58} + 14 q^{60} - 50 q^{61} + 70 q^{63} + 42 q^{64} + 30 q^{66} - 108 q^{67} - 12 q^{69} + 40 q^{70} - 40 q^{72} - 50 q^{73} + 12 q^{75} + 40 q^{78} - 40 q^{79} - 4 q^{81} + 50 q^{82} - 150 q^{84} - 20 q^{85} + 70 q^{88} - 20 q^{90} + 10 q^{91} - 50 q^{94} + 40 q^{96} - 58 q^{97} + 12 q^{99}+O(q^{100}) \) 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9 + 4 * q^12 - 12 * q^15 - 16 * q^16 + 20 * q^18 + 40 * q^19 + 30 * q^22 - 70 * q^24 + 4 * q^25 - 4 * q^27 - 110 * q^28 - 10 * q^30 + 10 * q^31 + 12 * q^33 + 100 * q^34 + 40 * q^36 - 2 * q^37 - 10 * q^39 + 50 * q^40 - 10 * q^42 - 32 * q^45 - 40 * q^46 + 22 * q^48 + 42 * q^49 - 40 * q^52 + 6 * q^55 + 40 * q^57 - 20 * q^58 + 14 * q^60 - 50 * q^61 + 70 * q^63 + 42 * q^64 + 30 * q^66 - 108 * q^67 - 12 * q^69 + 40 * q^70 - 40 * q^72 - 50 * q^73 + 12 * q^75 + 40 * q^78 - 40 * q^79 - 4 * q^81 + 50 * q^82 - 150 * q^84 - 20 * q^85 + 70 * q^88 - 20 * q^90 + 10 * q^91 - 50 * q^94 + 40 * q^96 - 58 * q^97 + 12 * q^99

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