LMFDB - Embedded newform 165.2.p.a.41.2

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			41.2
Root			$0.280526 + 0.386111i$ of defining polynomial
Character	$\chi$	$=$	165.41
Dual form			165.2.p.a.161.2

$q$-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 $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$-1$	$1$

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	−0.736584	−	0.676347i	$-0.763562\pi$
$2$	−0.453901	+	0.329779i	−0.320957	+	0.233189i	0.415627	+	0.909535i	$0.363562\pi$
$3$	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	0.260494	−	0.965475i	$-0.416114\pi$
$7$	−0.254663	−	0.0827449i	−0.0962534	−	0.0312746i	−0.356748	+	0.934201i	$0.616114\pi$
$8$	−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	0.961132	−	0.276088i	$-0.0890381\pi$
$13$	1.44781	+	1.99274i	0.401551	+	0.552687i	−0.559581	+	0.828775i	$0.689038\pi$
$14$	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	0.892700	−	0.450652i	$-0.148808\pi$
$17$	3.05095	+	2.21665i	0.739964	+	0.537616i	−0.152736	+	0.988267i	$0.548808\pi$
$18$	−0.679508	−	1.53990i	−0.160162	−	0.362958i
$19$	6.82402	−	2.21726i	1.56554	−	0.508674i	0.607257	−	0.794506i	$-0.292270\pi$
$19$	6.82402	−	2.21726i	1.56554	−	0.508674i	0.958280	+	0.285832i	$0.0922699\pi$
$20$	−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	$0.240679\pi$
$23$			6.58084i			1.37220i	−0.727507	+	0.686101i	$0.759321\pi$
$24$	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	−0.994078	−	0.108668i	$-0.965341\pi$
$29$	−0.678415	+	2.08795i	−0.125979	+	0.387722i	0.868100	+	0.496390i	$0.165341\pi$
$30$	0.756220	−	0.610305i	0.138066	−	0.111426i
$31$	5.54859	−	4.03129i	0.996556	−	0.724041i	0.0352093	−	0.999380i	$-0.488790\pi$
$31$	5.54859	−	4.03129i	0.996556	−	0.724041i	0.961347	+	0.275339i	$0.0887902\pi$
$32$	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	−0.915592	−	0.402109i	$-0.868277\pi$
$37$	0.374036	−	1.15116i	0.0614911	−	0.189250i	0.977083	+	0.212859i	$0.0682774\pi$
$38$	−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	−0.535410	−	0.844592i	$-0.679843\pi$
$41$	−3.83351	−	11.7983i	−0.598693	−	1.84259i	−0.0632828	−	0.997996i	$-0.520157\pi$
$42$	0.217995	+	0.142081i	0.0336374	+	0.0219236i
$43$			0.181260i			0.0276419i	0.999904	+	0.0138209i	$0.00439948\pi$
$43$			0.181260i			0.0276419i	−0.999904	+	0.0138209i	$0.995601\pi$
$44$	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	0.437368	−	0.899283i	$-0.355911\pi$
$47$	9.04803	−	2.93988i	1.31979	−	0.428826i	0.882423	+	0.470457i	$0.155911\pi$
$48$	−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	0.880727	−	0.473624i	$-0.157054\pi$
$53$	1.15116	+	1.58444i	0.158125	+	0.217640i	−0.722603	+	0.691264i	$0.757054\pi$
$54$	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	−0.0513141	−	0.998683i	$-0.516341\pi$
$59$	−5.22194	−	1.69671i	−0.679839	−	0.220893i	−0.628525	+	0.777789i	$0.716341\pi$
$60$	0.760129	−	2.81817i	0.0981323	−	0.363825i
$61$	−0.499172	+	0.687052i	−0.0639125	+	0.0879680i	−0.839777	−	0.542932i	$-0.817314\pi$
$61$	−0.499172	+	0.687052i	−0.0639125	+	0.0879680i	0.775864	+	0.630900i	$0.217314\pi$
$62$	−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	−0.887594	−	0.460627i	$-0.847625\pi$
$71$	−1.47652	+	2.03225i	−0.175231	+	0.241184i	0.712364	+	0.701811i	$0.247625\pi$
$72$	6.17094	−	0.627944i	0.727252	−	0.0740039i
$73$	−7.26034	−	2.35903i	−0.849758	−	0.276103i	−0.148413	−	0.988925i	$-0.547417\pi$
$73$	−7.26034	−	2.35903i	−0.849758	−	0.276103i	−0.701345	+	0.712822i	$0.747417\pi$
$74$	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	0.952386	−	0.304896i	$-0.0986216\pi$
$79$	3.27183	+	4.50328i	0.368109	+	0.506659i	−0.584276	+	0.811555i	$0.698622\pi$
$80$	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	0.696853	−	0.717214i	$-0.254583\pi$
$83$	2.09613	+	1.52293i	0.230080	+	0.167163i	−0.466772	+	0.884378i	$0.654583\pi$
$84$	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	$0.125995\pi$
$89$			7.27491i			0.771139i	−0.922679	+	0.385570i	$0.874005\pi$
$90$	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	−0.583258	+	0.812287i	$0.698222\pi$
$97$	−15.1281	+	10.9912i	−1.53603	+	1.11599i	−0.952767	+	0.303701i	$0.901778\pi$
$98$	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	−0.0754545	−	0.997149i	$-0.524041\pi$
$101$	8.53811	−	6.20330i	0.849574	−	0.617252i	0.925029	+	0.379898i	$0.124041\pi$
$102$	−2.30157	−	2.85184i	−0.227890	−	0.282375i
$103$	0.626792	−	1.92907i	0.0617596	−	0.190077i	−0.915416	−	0.402509i	$-0.868138\pi$
$103$	0.626792	−	1.92907i	0.0617596	−	0.190077i	0.977176	+	0.212432i	$0.0681384\pi$
$104$	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	−0.920956	−	0.389668i	$-0.872590\pi$
$107$	−4.18861	−	12.8912i	−0.404928	−	1.24624i	0.516028	−	0.856572i	$-0.327410\pi$
$108$	−1.32688	−	8.65555i	−0.127679	−	0.832880i
$109$		−	7.75667i		−	0.742954i	−0.928442	−	0.371477i	$-0.878851\pi$
$109$		−	7.75667i		−	0.742954i	0.928442	−	0.371477i	$-0.121149\pi$
$110$	−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	−0.437259	−	0.899336i	$-0.644051\pi$
$113$	−2.78927	+	0.906289i	−0.262393	+	0.0852565i	0.174866	+	0.984592i	$0.444051\pi$
$114$	−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	0.186902	−	0.982379i	$-0.440155\pi$
$127$	11.9844	−	16.4951i	1.06344	−	1.46370i	0.876542	−	0.481326i	$-0.159845\pi$
$128$	−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	−0.891043	−	0.453919i	$-0.850026\pi$
$137$	−2.15358	+	2.96415i	−0.183993	+	0.253244i	0.707050	+	0.707163i	$0.250026\pi$
$138$	1.66539	−	6.17442i	0.141768	−	0.525602i
$139$	−10.6100	−	3.44740i	−0.899930	−	0.292405i	−0.177722	−	0.984081i	$-0.556873\pi$
$139$	−10.6100	−	3.44740i	−0.899930	−	0.292405i	−0.722208	+	0.691676i	$0.756873\pi$
$140$	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	0.138784	−	0.990323i	$-0.455681\pi$
$149$	−9.27921	−	6.74174i	−0.760183	−	0.552305i	−0.898966	+	0.438018i	$0.855681\pi$
$150$	0.0492522	+	0.970523i	0.00402142	+	0.0792429i
$151$	−8.20244	+	2.66513i	−0.667505	+	0.216886i	−0.623117	−	0.782129i	$-0.714134\pi$
$151$	−8.20244	+	2.66513i	−0.667505	+	0.216886i	−0.0443883	+	0.999014i	$0.514134\pi$
$152$	−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	0.842340	−	0.538947i	$-0.181178\pi$
$157$	−1.95358	−	6.01249i	−0.155912	−	0.479849i	−0.998252	+	0.0590979i	$0.981178\pi$
$158$	−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	−0.290558	−	0.956857i	$-0.593841\pi$
$163$	6.76250	−	4.91325i	0.529680	−	0.384835i	0.820238	+	0.572022i	$0.193841\pi$
$164$	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	−0.999982	−	0.00605473i	$-0.998073\pi$
$167$	−16.8415	+	12.2361i	−1.30323	+	0.946855i	−0.303253	+	0.952910i	$0.598073\pi$
$168$	−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	0.987254	−	0.159153i	$-0.0508763\pi$
$173$	1.24954	+	3.84569i	0.0950009	+	0.292383i	−0.892253	+	0.451536i	$0.850876\pi$
$174$	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	−0.245807	−	0.969319i	$-0.579053\pi$
$179$	1.67348	−	0.543746i	0.125082	−	0.0406415i	0.370889	+	0.928677i	$0.379053\pi$
$180$	4.62536	−	2.04102i	0.344754	−	0.152129i
$181$	−3.06801	−	2.22904i	−0.228044	−	0.165683i	0.467896	−	0.883783i	$-0.345012\pi$
$181$	−3.06801	−	2.22904i	−0.228044	−	0.165683i	−0.695940	+	0.718100i	$0.745012\pi$
$182$	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	0.743325	−	0.668931i	$-0.233248\pi$
$191$	13.1500	+	4.27269i	0.951500	+	0.309161i	0.208175	+	0.978092i	$0.433248\pi$
$192$	2.34948	+	0.633712i	0.169559	+	0.0457342i
$193$	−4.42871	+	6.09559i	−0.318785	+	0.438770i	−0.938096	−	0.346376i	$-0.887412\pi$
$193$	−4.42871	+	6.09559i	−0.318785	+	0.438770i	0.619311	+	0.785146i	$0.287412\pi$
$194$	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	0.321531	−	0.946899i	$-0.395803\pi$
$211$	−9.85407	−	13.5630i	−0.678382	−	0.933713i	−0.999913	+	0.0131863i	$0.995803\pi$
$212$	−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	0.851420	+	0.524485i	$0.175742\pi$
$223$	7.03190	+	21.6420i	0.470891	+	1.44925i	−0.380529	+	0.924769i	$0.624258\pi$
$224$	−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	−0.337553	−	0.941307i	$-0.609599\pi$
$227$	7.36480	−	22.6665i	0.488819	−	1.50443i	0.826372	−	0.563124i	$-0.190401\pi$
$228$	−16.2980	+	13.1533i	−1.07936	+	0.871096i
$229$	−13.4107	+	9.74343i	−0.886203	+	0.643864i	−0.934885	−	0.354950i	$-0.884498\pi$
$229$	−13.4107	+	9.74343i	−0.886203	+	0.643864i	0.0486825	+	0.998814i	$0.484498\pi$
$230$	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	−0.650805	−	0.759245i	$-0.725569\pi$
$233$	−1.98178	+	1.43985i	−0.129831	+	0.0943276i	0.520975	+	0.853572i	$0.325569\pi$
$234$	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	0.988030	−	0.154263i	$-0.0493002\pi$
$239$	1.51541	+	4.66395i	0.0980236	+	0.301686i	−0.890006	+	0.455948i	$0.849300\pi$
$240$	3.20742	+	2.09048i	0.207038	+	0.134940i
$241$			16.9902i			1.09443i	0.836991	+	0.547216i	$0.184312\pi$
$241$			16.9902i			1.09443i	−0.836991	+	0.547216i	$0.815688\pi$
$242$	−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	0.993084	−	0.117403i	$-0.0374571\pi$
$251$	9.10254	+	12.5286i	0.574547	+	0.790796i	−0.418537	+	0.908200i	$0.637457\pi$
$252$	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	0.898529	−	0.438915i	$-0.144637\pi$
$257$	21.9221	+	7.12294i	1.36747	+	0.444316i	0.468937	+	0.883232i	$0.344637\pi$
$258$	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	0.0888558	+	0.996044i	$0.471679\pi$
$269$	−14.5298	+	19.9985i	−0.885897	+	1.21933i	−0.974753	+	0.223288i	$0.928321\pi$
$270$	1.31061	+	2.60411i	0.0797612	+	0.158481i
$271$	24.2430	+	7.87704i	1.47266	+	0.478496i	0.931911	−	0.362687i	$-0.118141\pi$
$271$	24.2430	+	7.87704i	1.47266	+	0.478496i	0.540749	+	0.841184i	$0.318141\pi$
$272$	−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	0.939906	+	0.341434i	$0.110913\pi$
$277$	16.2136	+	22.3161i	0.974182	+	1.34085i	0.0342760	+	0.999412i	$0.489087\pi$
$278$	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	0.0118943	−	0.999929i	$-0.496214\pi$
$281$	−15.6805	−	11.3925i	−0.935419	−	0.679622i	−0.947314	+	0.320307i	$0.896214\pi$
$282$	−9.23322	+	0.468568i	−0.549831	+	0.0279028i
$283$	15.0760	−	4.89849i	0.896175	−	0.291185i	0.175518	−	0.984476i	$-0.443840\pi$
$283$	15.0760	−	4.89849i	0.896175	−	0.291185i	0.720657	+	0.693291i	$0.243840\pi$
$284$	−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	−0.564420	−	0.825488i	$-0.690900\pi$
$293$	6.46030	−	19.8828i	0.377415	−	1.16156i	0.941835	−	0.336076i	$-0.109100\pi$
$294$	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	$-0.780060\pi$
$307$		−	22.3320i		−	1.27456i	0.770634	−	0.637278i	$-0.219940\pi$
$308$	−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	−0.343495	−	0.939154i	$-0.611611\pi$
$311$	−1.22331	+	0.397476i	−0.0693673	+	0.0225388i	0.274128	+	0.961693i	$0.411611\pi$
$312$	8.80974	−	0.447077i	0.498753	−	0.0253108i
$313$	−19.1931	−	13.9446i	−1.08486	−	0.788196i	−0.106335	−	0.994330i	$-0.533912\pi$
$313$	−19.1931	−	13.9446i	−1.08486	−	0.788196i	−0.978524	+	0.206134i	$0.933912\pi$
$314$	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	0.997907	+	0.0646661i	$0.0205982\pi$
$317$	13.3718	+	18.4048i	0.751038	+	1.03371i	−0.246869	+	0.969049i	$0.579402\pi$
$318$	−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	−0.223189	−	0.974775i	$-0.571647\pi$
$337$	−17.9300	−	5.82582i	−0.976712	−	0.317353i	−0.753522	+	0.657422i	$0.771647\pi$
$338$	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	0.813814	−	0.581125i	$-0.197387\pi$
$347$	9.54895	+	6.93772i	0.512614	+	0.372436i	−0.301200	+	0.953561i	$0.597387\pi$
$348$	−0.324782	−	6.39988i	−0.0174101	−	0.343070i
$349$	−13.5845	+	4.41387i	−0.727161	+	0.236269i	−0.649125	−	0.760681i	$-0.724865\pi$
$349$	−13.5845	+	4.41387i	−0.727161	+	0.236269i	−0.0780361	+	0.996951i	$0.524865\pi$
$350$	−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	$-0.971396\pi$
$353$		−	3.37221i		−	0.179484i	0.995965	−	0.0897422i	$-0.0286043\pi$
$354$	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	−0.628892	−	0.777493i	$-0.716491\pi$
$359$	6.38318	−	19.6454i	0.336891	−	1.03684i	0.965783	−	0.259352i	$-0.0835089\pi$
$360$	−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	0.522221	+	0.852810i	$0.325104\pi$
$367$	−7.69229	+	23.6744i	−0.401534	+	1.23580i	−0.923755	+	0.382985i	$0.874896\pi$
$368$	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	$-0.803722\pi$
$373$		−	22.3371i		−	1.15657i	0.815834	−	0.578286i	$-0.196278\pi$
$374$	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	0.735605	−	0.677411i	$-0.236898\pi$
$379$	6.20372	+	4.50727i	0.318664	+	0.231523i	−0.416941	+	0.908933i	$0.636898\pi$
$380$	−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	−0.999468	−	0.0326227i	$-0.989614\pi$
$383$	−14.1228	−	19.4384i	−0.721641	−	0.993254i	0.277826	−	0.960631i	$-0.410386\pi$
$384$	−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	0.865370	−	0.501133i	$-0.167083\pi$
$389$	25.0663	+	8.14452i	1.27091	+	0.412944i	0.405540	+	0.914077i	$0.367083\pi$
$390$	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	−0.650458	−	0.759542i	$-0.725423\pi$
$401$	5.46506	−	7.52201i	0.272912	−	0.375631i	0.923370	+	0.383911i	$0.125423\pi$
$402$	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	0.956037	−	0.293247i	$-0.0947358\pi$
$409$	7.71962	+	10.6251i	0.381711	+	0.525380i	−0.574326	+	0.818627i	$0.694736\pi$
$410$	−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	$-0.642617\pi$
$419$		−	36.8981i		−	1.80259i	0.433205	−	0.901296i	$-0.357383\pi$
$420$	−0.426766	+	0.654786i	−0.0208240	+	0.0319503i
$421$	−9.07289	−	27.9235i	−0.442186	−	1.36091i	−0.885541	−	0.464562i	$-0.846212\pi$
$421$	−9.07289	−	27.9235i	−0.442186	−	1.36091i	0.443355	−	0.896346i	$-0.353788\pi$
$422$	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	−0.323524	+	0.946220i	$0.604868\pi$
$431$	−27.4746	+	19.9615i	−1.32341	+	0.961511i	−0.999883	+	0.0152912i	$0.995132\pi$
$432$	11.3351	+	1.85306i	0.545362	+	0.0891552i
$433$	−10.5560	+	32.4880i	−0.507288	+	1.56127i	0.289602	+	0.957147i	$0.406477\pi$
$433$	−10.5560	+	32.4880i	−0.507288	+	1.56127i	−0.796890	+	0.604124i	$0.793523\pi$
$434$	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	$0.297622\pi$
$439$			33.7166i			1.60921i	−0.593812	+	0.804604i	$0.702378\pi$
$440$	−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	−0.486151	−	0.873875i	$-0.661600\pi$
$443$	−7.69930	+	2.50166i	−0.365805	+	0.118857i	0.120346	+	0.992732i	$0.461600\pi$
$444$	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	0.848817	−	0.528687i	$-0.177315\pi$
$449$	1.77372	+	2.44131i	0.0837069	+	0.115213i	−0.765110	+	0.643900i	$0.777315\pi$
$450$	−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	−0.836901	−	0.547354i	$-0.815635\pi$
$457$	−1.23392	+	1.69835i	−0.0577204	+	0.0794454i	0.779181	+	0.626799i	$0.215635\pi$
$458$	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	−0.967403	−	0.253241i	$-0.918504\pi$
$467$	−9.24080	+	12.7189i	−0.427613	+	0.588559i	0.539790	+	0.841800i	$0.318504\pi$
$468$	−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	0.765642	−	0.643267i	$-0.222421\pi$
$479$	8.54553	+	6.20869i	0.390455	+	0.283682i	−0.375187	+	0.926949i	$0.622421\pi$
$480$	−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	0.802518	+	0.596628i	$0.203493\pi$
$487$	11.1213	+	34.2280i	0.503956	+	1.55102i	−0.298562	+	0.954390i	$0.596507\pi$
$488$	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	−0.878164	−	0.478361i	$-0.841231\pi$
$491$	2.51408	−	7.73755i	0.113459	−	0.349191i	0.991623	+	0.129170i	$0.0412312\pi$
$492$	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	−0.882762	−	0.469820i	$-0.844319\pi$
$499$	2.40273	−	7.39484i	0.107561	−	0.331038i	0.990323	+	0.138782i	$0.0443187\pi$
$500$	−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	0.865455	−	0.500987i	$-0.167030\pi$
$503$	−2.89733	−	8.91707i	−0.129186	−	0.397592i	−0.994640	+	0.103395i	$0.967030\pi$
$504$	−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	−0.0660110	−	0.997819i	$-0.521027\pi$
$509$	10.5380	−	3.42400i	0.467088	−	0.151766i	0.533099	+	0.846053i	$0.321027\pi$
$510$	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	0.563225	−	0.826303i	$-0.309560\pi$
$521$	12.1704	+	3.95440i	0.533195	+	0.173246i	−0.0300302	+	0.999549i	$0.509560\pi$
$522$	3.67622	−	0.374085i	0.160904	−	0.0163733i
$523$	−19.8308	+	27.2947i	−0.867139	+	1.19351i	0.112681	+	0.993631i	$0.464056\pi$
$523$	−19.8308	+	27.2947i	−0.867139	+	1.19351i	−0.979820	+	0.199883i	$0.935944\pi$
$524$	−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	0.504951	−	0.863148i	$-0.331511\pi$
$541$	−10.9782	−	15.1102i	−0.471990	−	0.649639i	−0.976941	+	0.213509i	$0.931511\pi$
$542$	−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	−0.353046	−	0.935606i	$-0.614854\pi$
$547$	−2.07526	+	0.674293i	−0.0887318	+	0.0288307i	0.264315	+	0.964436i	$0.414854\pi$
$548$	−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	−0.549425	−	0.835543i	$-0.685153\pi$
$557$	9.11439	−	28.0512i	0.386189	−	1.18857i	0.935614	−	0.353025i	$-0.114847\pi$
$558$	−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	−0.929400	−	0.369074i	$-0.879675\pi$
$563$	−20.5384	+	14.9220i	−0.865591	+	0.628888i	0.0638095	+	0.997962i	$0.479675\pi$
$564$	−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	−0.999137	−	0.0415366i	$-0.986775\pi$
$569$	−5.13410	−	15.8011i	−0.215233	−	0.662418i	0.783904	−	0.620882i	$-0.213225\pi$
$570$	3.80725	−	5.84146i	0.159468	−	0.244672i
$571$			16.4821i			0.689756i	0.938648	+	0.344878i	$0.112080\pi$
$571$			16.4821i			0.689756i	−0.938648	+	0.344878i	$0.887920\pi$
$572$	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	0.922403	−	0.386229i	$-0.126222\pi$
$577$	20.1803	+	14.6618i	0.840116	+	0.610380i	−0.0822869	+	0.996609i	$0.526222\pi$
$578$	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	0.0957644	−	0.995404i	$-0.469470\pi$
$587$	−9.97820	−	3.24211i	−0.411844	−	0.133816i	−0.507609	+	0.861588i	$0.669470\pi$
$588$	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	−0.628792	−	0.777574i	$-0.716450\pi$
$599$	7.46551	−	10.2754i	0.305032	−	0.419841i	0.933824	+	0.357733i	$0.116450\pi$
$600$	−3.45763	−	0.932606i	−0.141157	−	0.0380735i
$601$	−6.19862	−	2.01405i	−0.252847	−	0.0821549i	0.179851	−	0.983694i	$-0.442438\pi$
$601$	−6.19862	−	2.01405i	−0.252847	−	0.0821549i	−0.432698	+	0.901539i	$0.642438\pi$
$602$	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	0.719940	−	0.694036i	$-0.244169\pi$
$607$	−4.00608	−	5.51390i	−0.162602	−	0.223802i	−0.882542	+	0.470234i	$0.844169\pi$
$608$	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	−0.107664	−	0.994187i	$-0.534337\pi$
$613$	9.64609	−	3.13420i	0.389602	−	0.126589i	0.497266	+	0.867598i	$0.334337\pi$
$614$	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	$0.256087\pi$
$617$			35.7937i			1.44100i	−0.693455	+	0.720500i	$0.743913\pi$
$618$	−1.07626	+	1.65131i	−0.0432937	+	0.0664255i
$619$	−12.9402	−	39.8257i	−0.520109	−	1.60073i	−0.773789	−	0.633443i	$-0.781641\pi$
$619$	−12.9402	−	39.8257i	−0.520109	−	1.60073i	0.253680	−	0.967288i	$-0.418359\pi$
$620$	−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	−0.819413	−	0.573204i	$-0.805700\pi$
$631$	4.53227	−	13.9489i	0.180427	−	0.555297i	0.999840	+	0.0179068i	$0.00570023\pi$
$632$	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	−0.177159	−	0.984182i	$-0.556691\pi$
$641$	6.53215	−	2.12242i	0.258004	−	0.0838307i	0.435163	+	0.900352i	$0.356691\pi$
$642$	0.667594	+	13.1551i	0.0263478	+	0.519189i
$643$	−33.0408	−	24.0055i	−1.30300	−	0.946686i	−0.303022	−	0.952984i	$-0.597995\pi$
$643$	−33.0408	−	24.0055i	−1.30300	−	0.946686i	−0.999980	+	0.00629741i	$0.997995\pi$
$644$	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	−0.986298	−	0.164971i	$-0.947247\pi$
$647$	−21.3260	−	29.3527i	−0.838412	−	1.15397i	0.147887	−	0.989004i	$-0.452753\pi$
$648$	−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	0.0567270	−	0.998390i	$-0.481934\pi$
$653$	−12.3737	−	4.02045i	−0.484219	−	0.157332i	−0.540946	+	0.841058i	$0.681934\pi$
$654$	−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	0.697648	−	0.716441i	$-0.254230\pi$
$673$	−5.17062	−	7.11675i	−0.199313	−	0.274331i	−0.896961	+	0.442110i	$0.854230\pi$
$674$	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	0.114150	−	0.993464i	$-0.463586\pi$
$677$	−20.6961	−	15.0366i	−0.795416	−	0.577904i	−0.909566	+	0.415560i	$0.863586\pi$
$678$	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	$-0.791306\pi$
$683$		−	31.8661i		−	1.21932i	0.792662	−	0.609661i	$-0.208694\pi$
$684$	−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	−0.0565706	−	0.998399i	$-0.518017\pi$
$691$	23.0137	−	16.7204i	0.875482	−	0.636075i	0.932052	+	0.362324i	$0.118017\pi$
$692$	−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	0.979678	−	0.200576i	$-0.0642814\pi$
$701$	1.83233	+	5.63933i	0.0692061	+	0.212994i	−0.910472	+	0.413571i	$0.864281\pi$
$702$	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	0.875731	−	0.482800i	$-0.160380\pi$
$709$	18.2975	+	13.2939i	0.687177	+	0.499263i	−0.188554	+	0.982063i	$0.560380\pi$
$710$	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	0.248760	−	0.968565i	$-0.419977\pi$
$719$	−3.19887	−	1.03938i	−0.119298	−	0.0387622i	−0.368058	+	0.929803i	$0.619977\pi$
$720$	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	0.833880	−	0.551945i	$-0.186114\pi$
$733$	32.0577	+	10.4162i	1.18408	+	0.384730i	0.350198	+	0.936676i	$0.386114\pi$
$734$	−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	0.983370	−	0.181611i	$-0.0581313\pi$
$739$	13.7763	+	18.9615i	0.506770	+	0.697509i	−0.476601	+	0.879120i	$0.658131\pi$
$740$	−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	0.436743	−	0.899586i	$-0.356132\pi$
$743$	−7.73729	−	5.62147i	−0.283854	−	0.206232i	−0.720597	+	0.693355i	$0.756132\pi$
$744$	−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	0.952580	−	0.304288i	$-0.0984186\pi$
$751$	0.0841462	+	0.258975i	0.00307054	+	0.00945014i	−0.949510	+	0.313738i	$0.898419\pi$
$752$	−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	−0.906335	−	0.422559i	$-0.861132\pi$
$757$	−21.5853	+	15.6826i	−0.784531	+	0.569995i	0.121805	+	0.992554i	$0.461132\pi$
$758$	−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	−0.720347	−	0.693614i	$-0.756017\pi$
$761$	−7.81465	+	5.67767i	−0.283281	+	0.205816i	0.437066	+	0.899429i	$0.356017\pi$
$762$	−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	$0.00653869\pi$
$769$			1.13921i			0.0410809i	−0.999789	+	0.0205405i	$0.993461\pi$
$770$	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	−0.855115	−	0.518439i	$-0.826514\pi$
$773$	−34.5364	+	11.2215i	−1.24219	+	0.403611i	−0.387072	+	0.922050i	$0.626514\pi$
$774$	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	−0.924457	−	0.381286i	$-0.875481\pi$
$787$	−7.74724	+	10.6632i	−0.276159	+	0.380101i	0.648298	+	0.761387i	$0.275481\pi$
$788$	−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	−0.989720	−	0.143022i	$-0.954318\pi$
$797$	−15.4667	+	21.2880i	−0.547857	+	0.754061i	0.441862	+	0.897083i	$0.354318\pi$
$798$	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	0.940334	−	0.340254i	$-0.110513\pi$
$809$	25.8066	+	18.7496i	0.907312	+	0.659201i	−0.0330214	+	0.999455i	$0.510513\pi$
$810$	−2.08430	+	4.59923i	−0.0732350	+	0.161600i
$811$	−30.0560	+	9.76580i	−1.05541	+	0.342923i	−0.784789	−	0.619763i	$-0.787229\pi$
$811$	−30.0560	+	9.76580i	−1.05541	+	0.342923i	−0.270621	+	0.962686i	$0.587229\pi$
$812$	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	0.453719	+	0.891145i	$0.350097\pi$
$821$	−12.5257	+	38.5501i	−0.437149	+	1.34541i	−0.890868	+	0.454262i	$0.849903\pi$
$822$	2.77071	−	2.23609i	0.0966395	−	0.0779926i
$823$	−2.68157	+	1.94827i	−0.0934736	+	0.0679125i	−0.633540	−	0.773710i	$-0.718399\pi$
$823$	−2.68157	+	1.94827i	−0.0934736	+	0.0679125i	0.540067	+	0.841622i	$0.318399\pi$
$824$	−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	0.139586	−	0.990210i	$-0.455423\pi$
$827$	32.3370	−	23.4942i	1.12447	−	0.816973i	0.984880	+	0.173237i	$0.0554227\pi$
$828$	16.7306	−	28.7579i	0.581427	−	0.999405i
$829$	−4.83903	+	14.8930i	−0.168067	+	0.517256i	−0.999249	−	0.0387437i	$-0.987664\pi$
$829$	−4.83903	+	14.8930i	−0.168067	+	0.517256i	0.831183	+	0.556000i	$0.187664\pi$
$830$	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	0.106112	−	0.994354i	$-0.466160\pi$
$839$	22.4895	−	7.30729i	0.776425	−	0.252276i	0.670313	+	0.742078i	$0.266160\pi$
$840$	−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	−0.973675	−	0.227941i	$-0.926801\pi$
$853$	−13.3183	+	18.3310i	−0.456008	+	0.627642i	0.517667	+	0.855582i	$0.326801\pi$
$854$	−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	−0.0391838	+	0.999232i	$0.512476\pi$
$863$	−28.7130	+	39.5200i	−0.977401	+	1.34528i	−0.938218	+	0.346046i	$0.887524\pi$
$864$	−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	0.0853283	−	0.996353i	$-0.472806\pi$
$877$	21.9146	−	7.12047i	0.740002	−	0.240441i	0.654674	+	0.755912i	$0.272806\pi$
$878$	−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	$-0.880453\pi$
$881$		−	21.7744i		−	0.733599i	0.930300	−	0.366800i	$-0.119547\pi$
$882$	−2.46230	+	11.3985i	−0.0829098	+	0.383808i
$883$	−3.04912	−	9.38424i	−0.102611	−	0.315805i	0.886551	−	0.462631i	$-0.153094\pi$
$883$	−3.04912	−	9.38424i	−0.102611	−	0.315805i	−0.989162	+	0.146826i	$0.953094\pi$
$884$	−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	−0.997660	−	0.0683756i	$-0.978218\pi$
$887$	−4.47768	+	13.7809i	−0.150346	+	0.462717i	0.847314	+	0.531093i	$0.178218\pi$
$888$	−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	0.858996	−	0.511982i	$-0.171088\pi$
$907$	19.1998	+	13.9494i	0.637518	+	0.463184i	−0.221479	+	0.975165i	$0.571088\pi$
$908$	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	0.940764	−	0.339063i	$-0.110110\pi$
$911$	9.88739	+	13.6088i	0.327584	+	0.450880i	−0.613180	+	0.789943i	$0.710110\pi$
$912$	−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	−0.884725	−	0.466114i	$-0.845654\pi$
$919$	−5.09382	+	7.01104i	−0.168029	+	0.231273i	0.716695	+	0.697386i	$0.245654\pi$
$920$	−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	−0.892957	−	0.450141i	$-0.851374\pi$
$929$	−5.75783	+	7.92497i	−0.188908	+	0.260010i	0.704049	+	0.710151i	$0.251374\pi$
$930$	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	0.863854	−	0.503743i	$-0.168044\pi$
$937$	3.60653	+	4.96396i	0.117820	+	0.162166i	−0.746033	+	0.665908i	$0.768044\pi$
$938$	−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	0.601193	−	0.799104i	$-0.294692\pi$
$941$	0.827605	+	0.601290i	0.0269792	+	0.0196015i	−0.574214	+	0.818705i	$0.694692\pi$
$942$	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	$-0.885433\pi$
$947$		−	21.6769i		−	0.704404i	0.935924	−	0.352202i	$-0.114567\pi$
$948$	−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	0.488440	+	0.872598i	$0.337566\pi$
$953$	−12.9538	+	39.8678i	−0.419616	+	1.29145i	−0.908056	+	0.418848i	$0.862434\pi$
$954$	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	$-0.992243\pi$
$967$		−	1.51551i		−	0.0487355i	0.999703	−	0.0243678i	$-0.00775727\pi$
$968$	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	−0.255706	−	0.966755i	$-0.582308\pi$
$971$	3.29270	−	1.06986i	0.105668	−	0.0343336i	0.361374	+	0.932421i	$0.382308\pi$
$972$	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	0.987729	+	0.156179i	$0.0499177\pi$
$977$	25.9758	+	35.7526i	0.831039	+	1.14383i	−0.156690	+	0.987648i	$0.550082\pi$
$978$	−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	−0.131330	−	0.991339i	$-0.541925\pi$
$983$	−25.7179	−	8.35625i	−0.820273	−	0.266523i	−0.688943	+	0.724816i	$0.741925\pi$
$984$	−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	−0.368200	−	0.929747i	$-0.620026\pi$
$997$	−38.2873	−	12.4403i	−1.21257	−	0.393988i	−0.844372	+	0.535758i	$0.820026\pi$
$998$	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.41.2	✓	16
3.2	odd	2	inner	165.2.p.a.41.3	yes	16
5.2	odd	4		825.2.bs.e.74.2		16
5.3	odd	4		825.2.bs.f.74.3		16
5.4	even	2		825.2.bi.d.701.3		16
11.7	odd	10	inner	165.2.p.a.161.3	yes	16
15.2	even	4		825.2.bs.f.74.4		16
15.8	even	4		825.2.bs.e.74.1		16
15.14	odd	2		825.2.bi.d.701.2		16
33.29	even	10	inner	165.2.p.a.161.2	yes	16
55.7	even	20		825.2.bs.e.524.1		16
55.18	even	20		825.2.bs.f.524.4		16
55.29	odd	10		825.2.bi.d.326.2		16
165.29	even	10		825.2.bi.d.326.3		16
165.62	odd	20		825.2.bs.f.524.3		16
165.128	odd	20		825.2.bs.e.524.2		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.p.a.41.2	✓	16	1.1	even	1	trivial
165.2.p.a.41.3	yes	16	3.2	odd	2	inner
165.2.p.a.161.2	yes	16	33.29	even	10	inner
165.2.p.a.161.3	yes	16	11.7	odd	10	inner
825.2.bi.d.326.2		16	55.29	odd	10
825.2.bi.d.326.3		16	165.29	even	10
825.2.bi.d.701.2		16	15.14	odd	2
825.2.bi.d.701.3		16	5.4	even	2
825.2.bs.e.74.1		16	15.8	even	4
825.2.bs.e.74.2		16	5.2	odd	4
825.2.bs.e.524.1		16	55.7	even	20
825.2.bs.e.524.2		16	165.128	odd	20
825.2.bs.f.74.3		16	5.3	odd	4
825.2.bs.f.74.4		16	15.2	even	4
825.2.bs.f.524.3		16	165.62	odd	20
825.2.bs.f.524.4		16	55.18	even	20

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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