LMFDB - Embedded newform 165.2.p.a.161.3

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			161.3
Root			$-0.280526 + 0.386111i$ of defining polynomial
Character	$\chi$	$=$	165.161
Dual form			165.2.p.a.41.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.453901 + 0.329779i) q^{2} +(-0.0877853 - 1.72982i) q^{3} +(-0.520762 - 1.60274i) q^{4} +(0.587785 + 0.809017i) q^{5} +(0.530613 - 0.814119i) q^{6} +(-0.254663 + 0.0827449i) q^{7} +(0.638924 - 1.96641i) q^{8} +(-2.98459 + 0.303706i) q^{9} +O(q^{10})$	\(q+(0.453901 + 0.329779i) q^{2} +(-0.0877853 - 1.72982i) q^{3} +(-0.520762 - 1.60274i) q^{4} +(0.587785 + 0.809017i) q^{5} +(0.530613 - 0.814119i) q^{6} +(-0.254663 + 0.0827449i) q^{7} +(0.638924 - 1.96641i) q^{8} +(-2.98459 + 0.303706i) 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} +(1.34786 - 1.08779i) q^{15} +(-1.78826 + 1.29924i) q^{16} +(-3.05095 + 2.21665i) q^{17} +(-1.45486 - 0.846400i) 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} +(-3.45763 - 0.932606i) q^{24} +(-0.309017 + 0.951057i) q^{25} +(1.31433 - 0.427051i) q^{26} +(0.787361 + 5.13615i) q^{27} +(0.265237 + 0.365067i) q^{28} +(0.678415 + 2.08795i) q^{29} +(0.970523 - 0.0492522i) q^{30} +(5.54859 + 4.03129i) q^{31} -5.37536 q^{32} +(-4.98431 - 2.85599i) q^{33} -2.11583 q^{34} +(-0.216629 - 0.157390i) q^{35} +(2.04102 + 4.62536i) q^{36} +(0.374036 + 1.15116i) q^{37} +(2.36623 + 3.25683i) q^{38} +(-3.57419 - 2.32953i) q^{39} +(1.96641 - 0.638924i) q^{40} +(3.83351 - 11.7983i) q^{41} +(-0.0677631 + 0.251231i) 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} +(2.40445 + 2.97931i) q^{48} +(-5.60511 + 4.07235i) q^{49} +(-0.453901 + 0.329779i) q^{50} +(4.10224 + 5.08302i) 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} +(3.23642 - 11.9990i) q^{57} +(-0.380627 + 1.17145i) q^{58} +(5.22194 - 1.69671i) q^{59} +(-2.44535 - 1.59379i) q^{60} +(-0.499172 - 0.687052i) q^{61} +(1.18908 + 3.65961i) q^{62} +(0.734933 - 0.324302i) q^{63} +(1.13663 + 0.825809i) q^{64} +2.46317 q^{65} +(-1.32054 - 2.94005i) q^{66} -0.419155 q^{67} +(5.14152 + 3.73554i) q^{68} +(11.3837 - 0.577701i) q^{69} +(-0.0464242 - 0.142879i) q^{70} +(1.47652 + 2.03225i) q^{71} +(-1.30972 + 6.06296i) q^{72} +(-7.26034 + 2.35903i) q^{73} +(-0.209854 + 0.645864i) q^{74} +(1.67229 + 0.451057i) 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} +(8.81553 - 1.81288i) q^{81} +(5.63087 - 4.09106i) q^{82} +(-2.09613 + 1.52293i) q^{83} +(0.608219 - 0.490861i) 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} +(-0.170395 - 1.67451i) q^{90} +(-0.203814 + 0.627276i) q^{91} +(10.5474 - 3.42705i) q^{92} +(6.48634 - 9.95198i) q^{93} +(-3.13740 - 4.31826i) q^{94} +(2.21726 + 6.82402i) q^{95} +(0.471877 + 9.29843i) q^{96} +(-15.1281 - 10.9912i) q^{97} -3.88714 q^{98} +(-4.50281 + 8.87269i) 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	0.736584	−	0.676347i	$-0.236438\pi$
$2$	0.453901	+	0.329779i	0.320957	+	0.233189i	−0.415627	+	0.909535i	$0.636438\pi$
$3$	−0.0877853	−	1.72982i	−0.0506828	−	0.998715i
$3$	−0.0877853	−	1.72982i	−0.0506828	−	0.998715i
$4$	−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
$6$	0.530613	−	0.814119i	0.216622	−	0.332363i
$7$	−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
$9$	−2.98459	+	0.303706i	−0.994862	+	0.101235i
$10$			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
$15$	1.34786	−	1.08779i	0.348016	−	0.280865i
$16$	−1.78826	+	1.29924i	−0.447064	+	0.324811i
$17$	−3.05095	+	2.21665i	−0.739964	+	0.537616i	−0.892700	−	0.450652i	$-0.851192\pi$
$17$	−3.05095	+	2.21665i	−0.739964	+	0.537616i	0.152736	+	0.988267i	$0.451192\pi$
$18$	−1.45486	−	0.846400i	−0.342915	−	0.199498i
$19$	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	$0.240679\pi$
$23$			6.58084i			1.37220i	−0.727507	+	0.686101i	$0.759321\pi$
$24$	−3.45763	−	0.932606i	−0.705785	−	0.190367i
$25$	−0.309017	+	0.951057i	−0.0618034	+	0.190211i
$26$	1.31433	−	0.427051i	0.257761	−	0.0837516i
$27$	0.787361	+	5.13615i	0.151528	+	0.988453i
$28$	0.265237	+	0.365067i	0.0501251	+	0.0689912i
$29$	0.678415	+	2.08795i	0.125979	+	0.387722i	0.994078	−	0.108668i	$-0.0346586\pi$
$29$	0.678415	+	2.08795i	0.125979	+	0.387722i	−0.868100	+	0.496390i	$0.834659\pi$
$30$	0.970523	−	0.0492522i	0.177192	−	0.00899217i
$31$	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
$33$	−4.98431	−	2.85599i	−0.867657	−	0.497164i
$34$	−2.11583			−0.362862
$35$	−0.216629	−	0.157390i	−0.0366170	−	0.0266038i
$36$	2.04102	+	4.62536i	0.340170	+	0.770893i
$37$	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
$39$	−3.57419	−	2.32953i	−0.572329	−	0.373023i
$40$	1.96641	−	0.638924i	0.310916	−	0.101023i
$41$	3.83351	−	11.7983i	0.598693	−	1.84259i	0.0632828	−	0.997996i	$-0.479843\pi$
$41$	3.83351	−	11.7983i	0.598693	−	1.84259i	0.535410	−	0.844592i	$-0.320157\pi$
$42$	−0.0677631	+	0.251231i	−0.0104561	+	0.0387658i
$43$		−	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	−0.437368	−	0.899283i	$-0.644089\pi$
$47$	−9.04803	−	2.93988i	−1.31979	−	0.428826i	−0.882423	+	0.470457i	$0.844089\pi$
$48$	2.40445	+	2.97931i	0.347052	+	0.430027i
$49$	−5.60511	+	4.07235i	−0.800730	+	0.581765i
$50$	−0.453901	+	0.329779i	−0.0641913	+	0.0466377i
$51$	4.10224	+	5.08302i	0.574428	+	0.711765i
$52$	−3.94781	−	1.28272i	−0.547463	−	0.177882i
$53$	−1.15116	+	1.58444i	−0.158125	+	0.217640i	−0.880727	−	0.473624i	$-0.842946\pi$
$53$	−1.15116	+	1.58444i	−0.158125	+	0.217640i	0.722603	+	0.691264i	$0.242946\pi$
$54$	−1.33641	+	2.59096i	−0.181862	+	0.352585i
$55$	3.31118	−	0.189896i	0.446480	−	0.0256056i
$56$			0.553638i			0.0739830i
$57$	3.23642	−	11.9990i	0.428674	−	1.58931i
$58$	−0.380627	+	1.17145i	−0.0499787	+	0.153819i
$59$	5.22194	−	1.69671i	0.679839	−	0.220893i	0.0513141	−	0.998683i	$-0.483659\pi$
$59$	5.22194	−	1.69671i	0.679839	−	0.220893i	0.628525	+	0.777789i	$0.283659\pi$
$60$	−2.44535	−	1.59379i	−0.315693	−	0.205757i
$61$	−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
$63$	0.734933	−	0.324302i	0.0925928	−	0.0408582i
$64$	1.13663	+	0.825809i	0.142079	+	0.103226i
$65$	2.46317			0.305518
$66$	−1.32054	−	2.94005i	−0.162547	−	0.361896i
$67$	−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
$69$	11.3837	−	0.577701i	1.37044	−	0.0695470i
$70$	−0.0464242	−	0.142879i	−0.00554876	−	0.0170773i
$71$	1.47652	+	2.03225i	0.175231	+	0.241184i	0.887594	−	0.460627i	$-0.152375\pi$
$71$	1.47652	+	2.03225i	0.175231	+	0.241184i	−0.712364	+	0.701811i	$0.752375\pi$
$72$	−1.30972	+	6.06296i	−0.154351	+	0.714527i
$73$	−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
$75$	1.67229	+	0.451057i	0.193099	+	0.0520835i
$76$		−	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
$81$	8.81553	−	1.81288i	0.979503	−	0.201431i
$82$	5.63087	−	4.09106i	0.621825	−	0.451782i
$83$	−2.09613	+	1.52293i	−0.230080	+	0.167163i	−0.696853	−	0.717214i	$-0.745417\pi$
$83$	−2.09613	+	1.52293i	−0.230080	+	0.167163i	0.466772	+	0.884378i	$0.345417\pi$
$84$	0.608219	−	0.490861i	0.0663621	−	0.0535573i
$85$	−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	$0.874005\pi$
$90$	−0.170395	−	1.67451i	−0.0179612	−	0.176509i
$91$	−0.203814	+	0.627276i	−0.0213655	+	0.0657564i
$92$	10.5474	−	3.42705i	1.09964	−	0.357295i
$93$	6.48634	−	9.95198i	0.672602	−	1.03197i
$94$	−3.13740	−	4.31826i	−0.323598	−	0.445395i
$95$	2.21726	+	6.82402i	0.227486	+	0.700129i
$96$	0.471877	+	9.29843i	0.0481608	+	0.949017i
$97$	−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
$99$	−4.50281	+	8.87269i	−0.452549	+	0.891739i
$100$	1.68522			0.168522
$101$	−8.53811	−	6.20330i	−0.849574	−	0.617252i	0.0754545	−	0.997149i	$-0.475959\pi$
$101$	−8.53811	−	6.20330i	−0.849574	−	0.617252i	−0.925029	+	0.379898i	$0.875959\pi$
$102$	0.185739	+	3.66002i	0.0183909	+	0.362396i
$103$	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
$105$	−0.253240	+	0.388547i	−0.0247137	+	0.0379183i
$106$	−1.04503	+	0.339551i	−0.101502	+	0.0329801i
$107$	4.18861	−	12.8912i	0.404928	−	1.24624i	−0.516028	−	0.856572i	$-0.672590\pi$
$107$	4.18861	−	12.8912i	0.404928	−	1.24624i	0.920956	−	0.389668i	$-0.127410\pi$
$108$	7.82189	−	3.93665i	0.752661	−	0.378804i
$109$			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	0.437259	−	0.899336i	$-0.355949\pi$
$113$	2.78927	+	0.906289i	0.262393	+	0.0852565i	−0.174866	+	0.984592i	$0.555949\pi$
$114$	5.42602	−	4.37906i	0.508194	−	0.410136i
$115$	−5.32402	+	3.86812i	−0.496467	+	0.360704i
$116$	2.99314	−	2.17465i	0.277906	−	0.201911i
$117$	−3.71591	+	6.38723i	−0.343536	+	0.590499i
$118$	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
$123$	−20.7455	−	5.59558i	−1.87056	−	0.504536i
$124$	3.57161	−	10.9923i	0.320740	−	0.987136i
$125$	−0.951057	+	0.309017i	−0.0850651	+	0.0276393i
$126$	0.440535	+	0.0951639i	0.0392459	+	0.00847788i
$127$	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
$129$	−0.313548	+	0.0159119i	−0.0276064	+	0.00140097i
$130$	1.11803	+	0.812299i	0.0980581	+	0.0712434i
$131$	−14.5776			−1.27365			−0.636825	−	0.771009i	$-0.719753\pi$
$131$	−14.5776			−1.27365			−0.636825	+	0.771009i	$0.719753\pi$
$132$	−1.98177	+	9.47584i	−0.172491	+	0.824766i
$133$	−1.92129			−0.166597
$134$	−0.190255	−	0.138228i	−0.0164355	−	0.0119411i
$135$	−3.69244	+	3.65594i	−0.317794	+	0.314654i
$136$	2.40950	+	7.41568i	0.206613	+	0.635889i
$137$	2.15358	+	2.96415i	0.183993	+	0.253244i	0.891043	−	0.453919i	$-0.149974\pi$
$137$	2.15358	+	2.96415i	0.183993	+	0.253244i	−0.707050	+	0.707163i	$0.749974\pi$
$138$	5.35759	+	3.49188i	0.456069	+	0.297249i
$139$	−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
$141$	−4.29120	+	15.9096i	−0.361384	+	1.33983i
$142$			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
$147$	7.53650	+	9.33837i	0.621600	+	0.770216i
$148$	1.65023	−	1.19896i	0.135648	−	0.0985542i
$149$	9.27921	−	6.74174i	0.760183	−	0.552305i	−0.138784	−	0.990323i	$-0.544319\pi$
$149$	9.27921	−	6.74174i	0.760183	−	0.552305i	0.898966	+	0.438018i	$0.144319\pi$
$150$	0.610305	+	0.756220i	0.0498312	+	0.0617451i
$151$	−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
$156$	−1.87232	+	6.94163i	−0.149906	+	0.555775i
$157$	−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
$159$	2.84186	+	1.85222i	0.225374	+	0.146891i
$160$	−3.15956	−	4.34876i	−0.249785	−	0.343799i
$161$	−0.544531	−	1.67589i	−0.0429151	−	0.132079i
$162$	4.59923	+	2.08430i	0.361349	+	0.163758i
$163$	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
$165$	−0.619161	−	5.71110i	−0.0482016	−	0.444608i
$166$	−1.45367			−0.112826
$167$	16.8415	+	12.2361i	1.30323	+	0.946855i	0.999982	−	0.00605473i	$-0.00192729\pi$
$167$	16.8415	+	12.2361i	1.30323	+	0.946855i	0.303253	+	0.952910i	$0.401927\pi$
$168$	0.957697	−	0.0486012i	0.0738879	−	0.00374967i
$169$	2.14236	+	6.59350i	0.164797	+	0.507192i
$170$	−1.24366	−	1.71174i	−0.0953840	−	0.131285i
$171$	−21.0403	−	4.54510i	−1.60899	−	0.347573i
$172$	−0.290512	+	0.0943932i	−0.0221514	+	0.00719741i
$173$	−1.24954	+	3.84569i	−0.0950009	+	0.292383i	−0.987254	−	0.159153i	$-0.949124\pi$
$173$	−1.24954	+	3.84569i	−0.0950009	+	0.292383i	0.892253	+	0.451536i	$0.149124\pi$
$174$	2.05981	+	0.555582i	0.156154	+	0.0421185i
$175$		−	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	$-0.420947\pi$
$179$	−1.67348	−	0.543746i	−0.125082	−	0.0406415i	−0.370889	+	0.928677i	$0.620947\pi$
$180$	−2.54231	+	4.36994i	−0.189493	+	0.325716i
$181$	−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
$183$	−1.14466	+	0.923794i	−0.0846156	+	0.0682888i
$184$	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
$189$	−0.625502	−	1.24284i	−0.0454986	−	0.0904030i
$190$	−1.24400	+	3.82863i	−0.0902491	+	0.277758i
$191$	−13.1500	+	4.27269i	−0.951500	+	0.309161i	−0.743325	−	0.668931i	$-0.766752\pi$
$191$	−13.1500	+	4.27269i	−0.951500	+	0.309161i	−0.208175	+	0.978092i	$0.566752\pi$
$192$	1.32873	−	2.03866i	0.0958925	−	0.147128i
$193$	−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
$195$	−0.216230	−	4.26085i	−0.0154845	−	0.305125i
$196$	9.44585	+	6.86281i	0.674703	+	0.490201i
$197$	−1.44184			−0.102727			−0.0513633	−	0.998680i	$-0.516357\pi$
$197$	−1.44184			−0.102727			−0.0513633	+	0.998680i	$0.516357\pi$
$198$	−4.96986	+	2.54240i	−0.353192	+	0.180680i
$199$	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
$201$	0.0367956	+	0.725065i	0.00259536	+	0.0511421i
$202$	−1.82974	−	5.63137i	−0.128740	−	0.396222i
$203$	−0.345534	−	0.475587i	−0.0242517	−	0.0333796i
$204$	6.01047	−	9.22186i	0.420817	−	0.645659i
$205$	11.7983	−	3.83351i	0.824030	−	0.267744i
$206$	−0.351663	+	1.08231i	−0.0245015	+	0.0754080i
$207$	−1.99864	−	19.6411i	−0.138915	−	1.36515i
$208$			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
$213$	3.38583	−	2.73252i	0.231993	−	0.187229i
$214$	6.15245	−	4.47002i	0.420573	−	0.305564i
$215$	0.146642	−	0.106542i	0.0100009	−	0.00726610i
$216$	10.6028	+	1.73334i	0.721431	+	0.117939i
$217$	−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
$222$	1.13565	+	0.306313i	0.0762200	+	0.0205584i
$223$	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
$225$	0.633446	−	2.93236i	0.0422298	−	0.195491i
$226$	0.967179	+	1.33121i	0.0643358	+	0.0885506i
$227$	−7.36480	−	22.6665i	−0.488819	−	1.50443i	−0.826372	−	0.563124i	$-0.809599\pi$
$227$	−7.36480	−	22.6665i	−0.488819	−	1.50443i	0.337553	−	0.941307i	$-0.390401\pi$
$228$	−20.9167	+	1.06148i	−1.38524	+	0.0702982i
$229$	−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
$231$	1.50564	+	0.314887i	0.0990635	+	0.0207180i
$232$	4.53921			0.298014
$233$	1.98178	+	1.43985i	0.129831	+	0.0943276i	0.650805	−	0.759245i	$-0.274431\pi$
$233$	1.98178	+	1.43985i	0.129831	+	0.0943276i	−0.520975	+	0.853572i	$0.674431\pi$
$234$	−3.79303	+	1.67374i	−0.247958	+	0.109416i
$235$	−2.93988	−	9.04803i	−0.191777	−	0.590228i
$236$	−5.43877	−	7.48583i	−0.354034	−	0.487286i
$237$	−8.07711	−	5.26437i	−0.524665	−	0.341957i
$238$	0.538823	−	0.175074i	0.0349267	−	0.0113484i
$239$	−1.51541	+	4.66395i	−0.0980236	+	0.301686i	−0.988030	−	0.154263i	$-0.950700\pi$
$239$	−1.51541	+	4.66395i	−0.0980236	+	0.301686i	0.890006	+	0.455948i	$0.150700\pi$
$240$	−0.997018	+	3.69643i	−0.0643572	+	0.238604i
$241$		−	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
$246$	−7.57113	−	9.38128i	−0.482718	−	0.598128i
$247$	14.2983	−	10.3883i	0.909780	−	0.660994i
$248$	11.4723	−	8.33510i	0.728491	−	0.529279i
$249$	2.81841	+	3.49225i	0.178609	+	0.221312i
$250$	−0.533593	−	0.173375i	−0.0337474	−	0.0109652i
$251$	−9.10254	+	12.5286i	−0.574547	+	0.790796i	−0.993084	−	0.117403i	$-0.962543\pi$
$251$	−9.10254	+	12.5286i	−0.574547	+	0.790796i	0.418537	+	0.908200i	$0.362543\pi$
$252$	−0.902496	−	1.00902i	−0.0568519	−	0.0635624i
$253$	18.3633	+	11.7971i	1.15449	+	0.741675i
$254$			11.4393i			0.717769i
$255$	−1.70102	+	6.30650i	−0.106522	+	0.394929i
$256$	−1.13226	+	3.48474i	−0.0707663	+	0.217796i
$257$	−21.9221	+	7.12294i	−1.36747	+	0.444316i	−0.898529	−	0.438915i	$-0.855363\pi$
$257$	−21.9221	+	7.12294i	−1.36747	+	0.444316i	−0.468937	+	0.883232i	$0.655363\pi$
$258$	−0.147567	−	0.0961789i	−0.00918713	−	0.00598784i
$259$	−0.190506	−	0.262209i	−0.0118375	−	0.0162929i
$260$	−1.28272	−	3.94781i	−0.0795510	−	0.244833i
$261$	−2.65891	−	6.02562i	−0.164583	−	0.372977i
$262$	−6.61678	−	4.80738i	−0.408786	−	0.297001i
$263$	21.7115			1.33879			0.669394	−	0.742908i	$-0.266554\pi$
$263$	21.7115			1.33879			0.669394	+	0.742908i	$0.266554\pi$
$264$	−8.80063	+	7.97642i	−0.541641	+	0.490915i
$265$	−1.95848			−0.120308
$266$	−0.872075	−	0.633599i	−0.0534703	−	0.0388485i
$267$	12.5843	−	0.638630i	0.770148	−	0.0390835i
$268$	0.218280	+	0.671796i	0.0133336	+	0.0410365i
$269$	14.5298	+	19.9985i	0.885897	+	1.21933i	0.974753	+	0.223288i	$0.0716790\pi$
$269$	14.5298	+	19.9985i	0.885897	+	1.21933i	−0.0888558	+	0.996044i	$0.528321\pi$
$270$	−2.88165	+	0.441751i	−0.175372	+	0.0268841i
$271$	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
$273$	1.10297	+	0.297498i	0.0667548	+	0.0180054i
$274$			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
$279$	−17.7846	−	10.3466i	−1.06474	−	0.619434i
$280$	−0.447903	+	0.325420i	−0.0267673	+	0.0194476i
$281$	15.6805	−	11.3925i	0.935419	−	0.679622i	−0.0118943	−	0.999929i	$-0.503786\pi$
$281$	15.6805	−	11.3925i	0.935419	−	0.679622i	0.947314	+	0.320307i	$0.103786\pi$
$282$	−7.19442	+	5.80623i	−0.428421	+	0.345756i
$283$	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
$288$	16.0432	−	1.63253i	0.945356	−	0.0961978i
$289$	−0.858505	+	2.64221i	−0.0505003	+	0.155424i
$290$	−1.17145	+	0.380627i	−0.0687898	+	0.0223512i
$291$	−17.6848	+	27.1338i	−1.03670	+	1.59061i
$292$	7.56181	+	10.4079i	0.442521	+	0.609078i
$293$	−6.46030	−	19.8828i	−0.377415	−	1.16156i	−0.941835	−	0.336076i	$-0.890900\pi$
$293$	−6.46030	−	19.8828i	−0.377415	−	1.16156i	0.564420	−	0.825488i	$-0.309100\pi$
$294$	0.341234	+	6.72407i	0.0199012	+	0.392156i
$295$	4.44205	+	3.22734i	0.258626	+	0.187903i
$296$	2.50264			0.145463
$297$	15.7435	+	7.01018i	0.913530	+	0.406772i
$298$	6.43513			0.372777
$299$	13.1139	+	9.52783i	0.758398	+	0.551009i
$300$	−0.147937	−	2.91513i	−0.00854117	−	0.168305i
$301$	0.0149983	+	0.0461601i	0.000864489	+	0.00266062i
$302$	−2.84419	−	3.91470i	−0.163665	−	0.225265i
$303$	−9.98111	+	15.3140i	−0.573400	+	0.879766i
$304$	−15.0838	+	4.90104i	−0.865118	+	0.281094i
$305$	0.262430	−	0.807678i	0.0150267	−	0.0462475i
$306$	6.31489	−	0.642592i	0.360998	−	0.0367345i
$307$			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	0.343495	−	0.939154i	$-0.388389\pi$
$311$	1.22331	+	0.397476i	0.0693673	+	0.0225388i	−0.274128	+	0.961693i	$0.588389\pi$
$312$	−6.86444	+	5.53993i	−0.388622	+	0.313637i
$313$	−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
$315$	0.694348	+	0.403953i	0.0391221	+	0.0227602i
$316$	−8.92143	−	2.89875i	−0.501870	−	0.163067i
$317$	−13.3718	+	18.4048i	−0.751038	+	1.03371i	0.246869	+	0.969049i	$0.420598\pi$
$317$	−13.3718	+	18.4048i	−0.751038	+	1.03371i	−0.997907	+	0.0646661i	$0.979402\pi$
$318$	0.679101	+	1.77791i	0.0380821	+	0.0997002i
$319$	7.04241	+	1.84986i	0.394299	+	0.103572i
$320$			1.40495i			0.0785391i
$321$	−22.6672	−	6.11390i	−1.26516	−	0.341244i
$322$	0.305511	−	0.940265i	0.0170254	−	0.0523989i
$323$	−25.7346	+	8.36168i	−1.43191	+	0.465256i
$324$	−7.49635	−	13.1849i	−0.416464	−	0.732495i
$325$	1.44781	+	1.99274i	0.0803102	+	0.110537i
$326$	1.44923	+	4.46026i	0.0802652	+	0.247031i
$327$	13.4177	−	0.680921i	0.741999	−	0.0376550i
$328$	−20.7510	−	15.0765i	−1.14578	−	0.832459i
$329$	2.54745			0.140446
$330$	1.60236	−	2.79646i	0.0882070	−	0.153940i
$331$	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
$333$	−1.46596	−	3.32215i	−0.0803340	−	0.182053i
$334$	3.60919	+	11.1079i	0.197486	+	0.607799i
$335$	−0.246373	−	0.339104i	−0.0134608	−	0.0185272i
$336$	−0.858845	−	0.559764i	−0.0468539	−	0.0305376i
$337$	−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
$339$	1.32286	−	4.90451i	0.0718482	−	0.266376i
$340$			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
$345$	7.15855	+	8.87005i	0.385403	+	0.477547i
$346$	−1.83540	+	1.33349i	−0.0986715	+	0.0716890i
$347$	−9.54895	+	6.93772i	−0.512614	+	0.372436i	−0.813814	−	0.581125i	$-0.802613\pi$
$347$	−9.54895	+	6.93772i	−0.512614	+	0.372436i	0.301200	+	0.953561i	$0.402613\pi$
$348$	−4.02451	−	4.98671i	−0.215736	−	0.267316i
$349$	−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	$-0.971396\pi$
$353$		−	3.37221i		−	0.179484i	0.995965	−	0.0897422i	$-0.0286043\pi$
$354$	1.38951	−	5.15158i	0.0738514	−	0.273803i
$355$	−0.776252	+	2.38906i	−0.0411992	+	0.126798i
$356$	11.6598	−	3.78849i	0.617968	−	0.200790i
$357$	−1.46528	−	0.955016i	−0.0775509	−	0.0505448i
$358$	−0.580278	−	0.798684i	−0.0306686	−	0.0422117i
$359$	−6.38318	−	19.6454i	−0.336891	−	1.03684i	−0.965783	−	0.259352i	$-0.916491\pi$
$359$	−6.38318	−	19.6454i	−0.336891	−	1.03684i	0.628892	−	0.777493i	$-0.283509\pi$
$360$	−5.67487	+	2.50414i	−0.299092	+	0.131980i
$361$	26.2796	+	19.0933i	1.38314	+	1.00491i
$362$	−2.12767			−0.111828
$363$	−16.9045	+	8.78858i	−0.887254	+	0.461281i
$364$	1.11150			0.0582584
$365$	−6.17601	−	4.48713i	−0.323267	−	0.234867i
$366$	−0.824209	+	0.0418270i	−0.0430821	+	0.00218633i
$367$	−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
$369$	−7.85821	+	36.3774i	−0.409082	+	1.89373i
$370$	−0.645864	+	0.209854i	−0.0335769	+	0.0109098i
$371$	0.162054	−	0.498751i	0.00841342	−	0.0258938i
$372$	−19.3283	−	5.21330i	−1.00212	−	0.270297i
$373$			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
$378$	0.125944	−	0.770402i	0.00647789	−	0.0396252i
$379$	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
$381$	27.4816	−	22.1789i	1.40792	−	1.13626i
$382$	−7.37784	−	2.39720i	−0.377483	−	0.122652i
$383$	14.1228	−	19.4384i	0.721641	−	0.993254i	−0.277826	−	0.960631i	$-0.589614\pi$
$383$	14.1228	−	19.4384i	0.721641	−	0.993254i	0.999468	−	0.0326227i	$-0.0103860\pi$
$384$	18.6704	−	7.13148i	0.952772	−	0.363927i
$385$	−0.827522	+	0.322343i	−0.0421744	+	0.0164281i
$386$		−	4.22729i		−	0.215163i
$387$	0.0550498	+	0.540986i	0.00279834	+	0.0274999i
$388$	−9.73791	+	29.9702i	−0.494367	+	1.52151i
$389$	−25.0663	+	8.14452i	−1.27091	+	0.412944i	−0.865370	−	0.501133i	$-0.832917\pi$
$389$	−25.0663	+	8.14452i	−1.27091	+	0.412944i	−0.405540	+	0.914077i	$0.632917\pi$
$390$	1.30699	−	2.00531i	0.0661819	−	0.101543i
$391$	−14.5874	−	20.0778i	−0.737717	−	1.01538i
$392$	4.42666	+	13.6239i	0.223580	+	0.688109i
$393$	1.27970	+	25.2167i	0.0645522	+	1.27201i
$394$	−0.654451	−	0.475486i	−0.0329708	−	0.0239547i
$395$	5.56637			0.280074
$396$	16.5655	+	2.59627i	0.832448	+	0.130468i
$397$	−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
$399$	0.168661	+	3.32349i	0.00844360	+	0.166383i
$400$	−0.683053	−	2.10222i	−0.0341526	−	0.105111i
$401$	−5.46506	−	7.52201i	−0.272912	−	0.375631i	0.650458	−	0.759542i	$-0.274577\pi$
$401$	−5.46506	−	7.52201i	−0.272912	−	0.375631i	−0.923370	+	0.383911i	$0.874577\pi$
$402$	−0.222409	+	0.341242i	−0.0110928	+	0.0170196i
$403$	16.0666	−	5.22037i	0.800336	−	0.260045i
$404$	−5.49596	+	16.9148i	−0.273434	+	0.841543i
$405$	6.64828	+	6.06633i	0.330356	+	0.301438i
$406$		−	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
$411$	4.93841	−	3.98553i	0.243594	−	0.196592i
$412$	2.76538	−	2.00917i	0.136241	−	0.0989846i
$413$	−1.18944	+	0.864178i	−0.0585285	+	0.0425234i
$414$	5.57003	−	9.57423i	0.273752	−	0.470548i
$415$	−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	$-0.357383\pi$
$420$	0.754617	+	0.203538i	0.0368215	+	0.00993165i
$421$	−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
$423$	27.8975	+	6.02639i	1.35642	+	0.293013i
$424$	2.38015	+	3.27599i	0.115590	+	0.159096i
$425$	−1.16536	−	3.58661i	−0.0565282	−	0.173976i
$426$	2.43796	−	0.123722i	0.118119	−	0.00599433i
$427$	0.183970	+	0.133662i	0.00890296	+	0.00646838i
$428$	−22.8425			−1.10413
$429$	−12.9076	+	5.79751i	−0.623185	+	0.279907i
$430$	0.101696			0.00490424
$431$	27.4746	+	19.9615i	1.32341	+	0.961511i	0.999883	+	0.0152912i	$0.00486753\pi$
$431$	27.4746	+	19.9615i	1.32341	+	0.961511i	0.323524	+	0.946220i	$0.395132\pi$
$432$	−8.08112	−	8.16178i	−0.388803	−	0.392684i
$433$	−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
$435$	3.18565	+	2.07629i	0.152740	+	0.0995504i
$436$	12.4319	−	4.03937i	0.595381	−	0.193451i
$437$	−14.5914	+	44.9078i	−0.698002	+	2.14823i
$438$	−1.93190	+	7.16251i	−0.0923098	+	0.342238i
$439$		−	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	0.486151	−	0.873875i	$-0.338400\pi$
$443$	7.69930	+	2.50166i	0.365805	+	0.118857i	−0.120346	+	0.992732i	$0.538400\pi$
$444$	−2.21886	−	2.74936i	−0.105303	−	0.130479i
$445$	−5.88553	+	4.27609i	−0.279001	+	0.202706i
$446$	10.3288	−	7.50435i	0.489085	−	0.355341i
$447$	−12.4766	−	15.4596i	−0.590123	−	0.731213i
$448$	−0.357788	−	0.116252i	−0.0169039	−	0.00549241i
$449$	−1.77372	+	2.44131i	−0.0837069	+	0.115213i	−0.848817	−	0.528687i	$-0.822685\pi$
$449$	−1.77372	+	2.44131i	−0.0837069	+	0.115213i	0.765110	+	0.643900i	$0.222685\pi$
$450$	1.25455	−	1.12211i	0.0591402	−	0.0528966i
$451$	−26.0502	−	31.8472i	−1.22666	−	1.49963i
$452$		−	4.94244i		−	0.232473i
$453$	−3.89016	+	14.4227i	−0.182776	+	0.677640i
$454$	4.13204	−	12.7171i	0.193926	−	0.596844i
$455$	−0.627276	+	0.203814i	−0.0294072	+	0.00955496i
$456$	−21.5271	−	14.0306i	−1.00810	−	0.657041i
$457$	−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
$459$	−13.7872	−	13.9248i	−0.643533	−	0.649956i
$460$	8.97214	+	6.51864i	0.418328	+	0.303933i
$461$	34.3921			1.60180			0.800899	−	0.598799i	$-0.204355\pi$
$461$	34.3921			1.60180			0.800899	+	0.598799i	$0.204355\pi$
$462$	0.579567	+	0.639454i	0.0269639	+	0.0297501i
$463$	−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
$465$	11.8639	−	0.602070i	0.550175	−	0.0279203i
$466$	0.424702	+	1.30710i	0.0196739	+	0.0605501i
$467$	9.24080	+	12.7189i	0.427613	+	0.588559i	0.967403	−	0.253241i	$-0.0814964\pi$
$467$	9.24080	+	12.7189i	0.427613	+	0.588559i	−0.539790	+	0.841800i	$0.681496\pi$
$468$	12.1722	+	2.62942i	0.562658	+	0.121545i
$469$	0.106743	−	0.0346829i	0.00492894	−	0.00160151i
$470$	1.64943	−	5.07642i	0.0760825	−	0.234158i
$471$	10.5720	+	2.85154i	0.487134	+	0.131392i
$472$		−	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
$477$	2.95454	−	5.07852i	0.135279	−	0.232529i
$478$	−2.22592	+	1.61722i	−0.101811	+	0.0739700i
$479$	−8.54553	+	6.20869i	−0.390455	+	0.283682i	−0.765642	−	0.643267i	$-0.777579\pi$
$479$	−8.54553	+	6.20869i	−0.390455	+	0.283682i	0.375187	+	0.926949i	$0.377579\pi$
$480$	−7.24523	+	5.84724i	−0.330698	+	0.266889i
$481$	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
$486$	3.20174	−	8.13882i	0.145234	−	0.369185i
$487$	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
$489$	7.90541	−	12.1293i	0.357495	−	0.548504i
$490$	−2.28480	−	3.14476i	−0.103217	−	0.142066i
$491$	−2.51408	−	7.73755i	−0.113459	−	0.349191i	0.878164	−	0.478361i	$-0.158769\pi$
$491$	−2.51408	−	7.73755i	−0.113459	−	0.349191i	−0.991623	+	0.129170i	$0.958769\pi$
$492$	1.83524	+	36.1637i	0.0827388	+	1.63038i
$493$	−6.69805	−	4.86642i	−0.301665	−	0.219172i
$494$	9.91587			0.446136
$495$	−9.82485	+	1.57239i	−0.441594	+	0.0706737i
$496$	−15.1599			−0.680701
$497$	−0.544173	−	0.395365i	−0.0244095	−	0.0177345i
$498$	0.127610	+	2.51459i	0.00571836	+	0.112681i
$499$	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
$501$	19.6878	−	30.2070i	0.879587	−	1.34955i
$502$	−8.26331	+	2.68491i	−0.368809	+	0.119833i
$503$	2.89733	−	8.91707i	0.129186	−	0.397592i	−0.865455	−	0.500987i	$-0.832970\pi$
$503$	2.89733	−	8.91707i	0.129186	−	0.397592i	0.994640	+	0.103395i	$0.0329704\pi$
$504$	−0.168143	−	1.65238i	−0.00748970	−	0.0736029i
$505$		−	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	$-0.478973\pi$
$509$	−10.5380	−	3.42400i	−0.467088	−	0.151766i	−0.533099	+	0.846053i	$0.678973\pi$
$510$	−2.85184	+	2.30157i	−0.126282	+	0.101915i
$511$	1.65374	−	1.20151i	0.0731571	−	0.0531517i
$512$	17.0073	−	12.3565i	0.751624	−	0.546087i
$513$	−6.01520	+	36.7950i	−0.265578	+	1.62454i
$514$	−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
$519$	6.76207	+	1.82389i	0.296822	+	0.0800600i
$520$	1.57378	−	4.84359i	0.0690147	−	0.212405i
$521$	−12.1704	+	3.95440i	−0.533195	+	0.173246i	−0.563225	−	0.826303i	$-0.690440\pi$
$521$	−12.1704	+	3.95440i	−0.533195	+	0.173246i	0.0300302	+	0.999549i	$0.490440\pi$
$522$	0.780238	−	3.61189i	0.0341501	−	0.158088i
$523$	−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
$525$	−0.463192	+	0.0235061i	−0.0202153	+	0.00102589i
$526$	9.85487	+	7.15999i	0.429693	+	0.312190i
$527$	−25.8644			−1.12667
$528$	12.6238	−	1.36860i	0.549382	−	0.0595605i
$529$	−20.3075			−0.882936
$530$	−0.888955	−	0.645864i	−0.0386137	−	0.0280545i
$531$	−15.0700	+	6.64992i	−0.653984	+	0.288582i
$532$	1.00053	+	3.07932i	0.0433786	+	0.133506i
$533$	−17.9608	−	24.7209i	−0.777969	−	1.07078i
$534$	5.92265	+	3.86017i	0.256298	+	0.167046i
$535$	12.8912	−	4.18861i	0.557335	−	0.181089i
$536$	−0.267808	+	0.824230i	−0.0115676	+	0.0356013i
$537$	−0.793678	+	2.94256i	−0.0342497	+	0.126981i
$538$			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
$543$	4.12518	+	5.11145i	0.177028	+	0.219353i
$544$	16.4000	−	11.9153i	0.703142	−	0.510863i
$545$	−6.27528	+	4.55926i	−0.268803	+	0.195297i
$546$	0.402531	+	0.498770i	0.0172267	+	0.0213454i
$547$	−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
$552$	6.13733	−	22.7541i	0.261222	−	0.968479i
$553$	−0.460588	+	1.41754i	−0.0195862	+	0.0602801i
$554$	14.7188	−	4.78242i	0.625340	−	0.203185i
$555$	1.75637	+	1.14474i	0.0745536	+	0.0485913i
$556$	11.0506	+	15.2098i	0.468649	+	0.645040i
$557$	−9.11439	−	28.0512i	−0.386189	−	1.18857i	−0.935614	−	0.353025i	$-0.885153\pi$
$557$	−9.11439	−	28.0512i	−0.386189	−	1.18857i	0.549425	−	0.835543i	$-0.314847\pi$
$558$	−4.66036	−	10.5613i	−0.197289	−	0.447096i
$559$	−0.361204	−	0.262430i	−0.0152773	−	0.0110996i
$560$	0.591876			0.0250113
$561$	21.5376	−	2.33497i	0.909318	−	0.0985824i
$562$	10.8744			0.458709
$563$	20.5384	+	14.9220i	0.865591	+	0.628888i	0.929400	−	0.369074i	$-0.120325\pi$
$563$	20.5384	+	14.9220i	0.865591	+	0.628888i	−0.0638095	+	0.997962i	$0.520325\pi$
$564$	27.7336	−	1.40743i	1.16780	−	0.0592633i
$565$	0.906289	+	2.78927i	0.0381279	+	0.117346i
$566$	5.22760	+	7.19517i	0.219732	+	0.302436i
$567$	−2.09498	+	1.19111i	−0.0879808	+	0.0500220i
$568$	4.93962	−	1.60498i	0.207262	−	0.0673435i
$569$	5.13410	−	15.8011i	0.215233	−	0.662418i	−0.783904	−	0.620882i	$-0.786775\pi$
$569$	5.13410	−	15.8011i	0.215233	−	0.662418i	0.999137	−	0.0415366i	$-0.0132253\pi$
$570$	6.73207	+	1.81580i	0.281975	+	0.0760556i
$571$		−	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
$576$	−3.64317	−	2.11950i	−0.151799	−	0.0883124i
$577$	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
$579$	−10.1555	+	8.19599i	−0.422049	+	0.340614i
$580$	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
$585$	−7.35153	+	0.748079i	−0.303949	+	0.0309292i
$586$	3.62457	−	11.1553i	0.149730	−	0.460820i
$587$	9.97820	−	3.24211i	0.411844	−	0.133816i	−0.0957644	−	0.995404i	$-0.530530\pi$
$587$	9.97820	−	3.24211i	0.411844	−	0.133816i	0.507609	+	0.861588i	$0.330530\pi$
$588$	11.0423	−	16.9421i	0.455375	−	0.698681i
$589$	28.9253	+	39.8122i	1.19185	+	1.64043i
$590$	0.951945	+	2.92979i	0.0391910	+	0.120617i
$591$	0.126572	+	2.49412i	0.00520647	+	0.102595i
$592$	−2.16451	−	1.57261i	−0.0889610	−	0.0646339i
$593$	−5.90159			−0.242349			−0.121175	−	0.992631i	$-0.538666\pi$
$593$	−5.90159			−0.242349			−0.121175	+	0.992631i	$0.538666\pi$
$594$	4.83418	+	8.37379i	0.198349	+	0.343581i
$595$	1.00980			0.0413979
$596$	−15.6375	−	11.3613i	−0.640537	−	0.465378i
$597$	−0.284460	−	5.60533i	−0.0116422	−	0.229411i
$598$	2.81036	+	8.64939i	0.114924	+	0.353700i
$599$	−7.46551	−	10.2754i	−0.305032	−	0.419841i	0.628792	−	0.777574i	$-0.283550\pi$
$599$	−7.46551	−	10.2754i	−0.305032	−	0.419841i	−0.933824	+	0.357733i	$0.883550\pi$
$600$	1.95543	−	3.00021i	0.0798300	−	0.122483i
$601$	−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
$603$	1.25101	−	0.127300i	0.0509449	−	0.00518406i
$604$			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
$609$	−0.792349	+	0.639463i	−0.0321076	+	0.0259123i
$610$	0.385472	−	0.280062i	0.0156073	−	0.0113394i
$611$	−18.9583	+	13.7740i	−0.766970	+	0.557236i
$612$	−16.4798	−	9.58752i	−0.666158	−	0.387552i
$613$	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	$0.256087\pi$
$617$			35.7937i			1.44100i	−0.693455	+	0.720500i	$0.743913\pi$
$618$	1.90307	+	0.513305i	0.0765529	+	0.0206482i
$619$	−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
$621$	−33.8002	+	5.18150i	−1.35636	+	0.207927i
$622$	0.424181	+	0.583835i	0.0170081	+	0.0234096i
$623$	−0.601962	−	1.85265i	−0.0241171	−	0.0742248i
$624$	9.41819	−	0.477955i	0.377030	−	0.0191335i
$625$	−0.809017	−	0.587785i	−0.0323607	−	0.0235114i
$626$	−13.3104			−0.531991
$627$	−27.6805	−	30.5408i	−1.10545	−	1.21968i
$628$	10.6538			0.425133
$629$	−3.69289	−	2.68304i	−0.147245	−	0.106980i
$630$	0.181950	+	0.412336i	0.00724908	+	0.0164279i
$631$	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
$633$	24.3266	+	15.8552i	0.966895	+	0.630187i
$634$	−12.1390	+	3.94420i	−0.482101	+	0.156644i
$635$	−6.30057	+	19.3912i	−0.250031	+	0.769515i
$636$	1.48870	−	5.51933i	0.0590306	−	0.218856i
$637$			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	$-0.443309\pi$
$641$	−6.53215	−	2.12242i	−0.258004	−	0.0838307i	−0.435163	+	0.900352i	$0.643309\pi$
$642$	−8.27245	−	10.2503i	−0.326487	−	0.404546i
$643$	−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
$645$	−0.197172	−	0.244313i	−0.00776364	−	0.00961981i
$646$	−14.4385	−	4.69134i	−0.568074	−	0.184578i
$647$	21.3260	−	29.3527i	0.838412	−	1.15397i	−0.147887	−	0.989004i	$-0.547247\pi$
$647$	21.3260	−	29.3527i	0.838412	−	1.15397i	0.986298	−	0.164971i	$-0.0527529\pi$
$648$	2.06760	−	18.4932i	0.0812231	−	0.726482i
$649$	4.62650	−	17.6130i	0.181606	−	0.691371i
$650$			1.38197i			0.0542052i
$651$	−0.828352	+	3.07111i	−0.0324657	+	0.120366i
$652$	4.35300	−	13.3972i	0.170477	−	0.524673i
$653$	12.3737	−	4.02045i	0.484219	−	0.157332i	−0.0567270	−	0.998390i	$-0.518066\pi$
$653$	12.3737	−	4.02045i	0.484219	−	0.157332i	0.540946	+	0.841058i	$0.318066\pi$
$654$	6.31485	+	4.11579i	0.246930	+	0.160940i
$655$	−8.56849	−	11.7935i	−0.334799	−	0.460811i
$656$	8.47360	+	26.0791i	0.330839	+	1.01822i
$657$	20.9527	−	9.24573i	0.817441	−	0.360710i
$658$	1.15629	+	0.840096i	0.0450770	+	0.0327503i
$659$	3.12428			0.121705			0.0608523	−	0.998147i	$-0.480618\pi$
$659$	3.12428			0.121705			0.0608523	+	0.998147i	$0.480618\pi$
$660$	−8.83097	+	3.96647i	−0.343745	+	0.154395i
$661$	−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
$663$	16.0684	−	0.815441i	0.624046	−	0.0316691i
$664$	1.65543	+	5.09488i	0.0642431	+	0.197720i
$665$	−1.12930	−	1.55435i	−0.0437926	−	0.0602753i
$666$	0.430174	−	1.99137i	0.0166689	−	0.0771640i
$667$	−13.7405	+	4.46455i	−0.532033	+	0.172868i
$668$	10.8408	−	33.3646i	0.419444	−	1.29092i
$669$	−38.0541	−	10.2641i	−1.47126	−	0.396834i
$670$		−	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
$675$	−5.12808	−	0.838333i	−0.197380	−	0.0322675i
$676$	9.45200	−	6.86728i	0.363538	−	0.264126i
$677$	20.6961	−	15.0366i	0.795416	−	0.577904i	−0.114150	−	0.993464i	$-0.536414\pi$
$677$	20.6961	−	15.0366i	0.795416	−	0.577904i	0.909566	+	0.415560i	$0.136414\pi$
$678$	2.21785	−	1.78991i	0.0851761	−	0.0687411i
$679$	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	$-0.208694\pi$
$684$	3.67235	+	36.0890i	0.140416	+	1.37990i
$685$	−1.13220	+	3.48457i	−0.0432593	+	0.133138i
$686$	1.99006	−	0.646611i	0.0759810	−	0.0246877i
$687$	−15.6772	+	24.0535i	−0.598121	+	0.917697i
$688$	0.235501	+	0.324139i	0.00897838	+	0.0123577i
$689$	1.49071	+	4.58795i	0.0567917	+	0.174787i
$690$	0.324121	+	6.38686i	0.0123391	+	0.243144i
$691$	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
$693$	0.412527	−	2.63213i	0.0156706	−	0.0999863i
$694$	−6.62219			−0.251375
$695$	−9.02542	−	6.55735i	−0.342354	−	0.248734i
$696$	−0.398476	−	7.85204i	−0.0151042	−	0.297631i
$697$	14.4569	+	44.4936i	0.547592	+	1.68532i
$698$	−4.71042	−	6.48334i	−0.178292	−	0.245398i
$699$	2.31671	−	3.55453i	0.0876262	−	0.134445i
$700$	−0.429162	+	0.139443i	−0.0162208	+	0.00527046i
$701$	−1.83233	+	5.63933i	−0.0692061	+	0.212994i	−0.979678	−	0.200576i	$-0.935719\pi$
$701$	−1.83233	+	5.63933i	−0.0692061	+	0.212994i	0.910472	+	0.413571i	$0.135719\pi$
$702$	3.22825	+	6.41434i	0.121842	+	0.242094i
$703$			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
$708$	−12.4717	+	10.0653i	−0.468716	+	0.378276i
$709$	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
$711$	−8.39738	+	14.4341i	−0.314926	+	0.541322i
$712$	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
$717$	8.20084	+	2.21196i	0.306266	+	0.0826073i
$718$	3.58130	−	11.0221i	0.133653	−	0.411342i
$719$	3.19887	−	1.03938i	0.119298	−	0.0387622i	−0.248760	−	0.968565i	$-0.580023\pi$
$719$	3.19887	−	1.03938i	0.119298	−	0.0387622i	0.368058	+	0.929803i	$0.380023\pi$
$720$	6.48171	+	1.40017i	0.241559	+	0.0521814i
$721$	−0.319241	−	0.439397i	−0.0118892	−	0.0163640i
$722$	5.63181	+	17.3329i	0.209594	+	0.645064i
$723$	−29.3900	+	1.49149i	−1.09303	+	0.0554690i
$724$	5.17028	+	3.75643i	0.192152	+	0.139606i
$725$	−2.19540			−0.0815350
$726$	−10.5712	−	1.58558i	−0.392336	−	0.0588464i
$727$	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
$729$	−25.7601	+	8.08802i	−0.954079	+	0.299556i
$730$	−1.32354	−	4.07343i	−0.0489863	−	0.150764i
$731$	0.401789	+	0.553015i	0.0148607	+	0.0204540i
$732$	2.07669	+	1.35351i	0.0767568	+	0.0500273i
$733$	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
$735$	−3.12505	+	11.5861i	−0.115269	+	0.427360i
$736$		−	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
$741$	−19.2252	−	23.8216i	−0.706255	−	0.875110i
$742$	0.238034	−	0.172942i	0.00873849	−	0.00634889i
$743$	7.73729	−	5.62147i	0.283854	−	0.206232i	−0.436743	−	0.899586i	$-0.643868\pi$
$743$	7.73729	−	5.62147i	0.283854	−	0.206232i	0.720597	+	0.693355i	$0.243868\pi$
$744$	−15.4254	−	19.1133i	−0.565521	−	0.700729i
$745$	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
$750$	−0.253067	+	0.938242i	−0.00924068	+	0.0342598i
$751$	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
$753$	22.4713	+	14.6460i	0.818900	+	0.533729i
$754$	1.78332	+	2.45453i	0.0649447	+	0.0893887i
$755$	−2.66513	−	8.20244i	−0.0969942	−	0.298517i
$756$	−1.66620	+	1.64974i	−0.0605993	+	0.0600004i
$757$	−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
$759$	18.7948	−	32.8010i	0.682208	−	1.19060i
$760$	14.8355			0.538138
$761$	7.81465	+	5.67767i	0.283281	+	0.205816i	0.720347	−	0.693614i	$-0.243983\pi$
$761$	7.81465	+	5.67767i	0.283281	+	0.205816i	−0.437066	+	0.899429i	$0.643983\pi$
$762$	19.7881	−	1.00421i	0.716846	−	0.0363786i
$763$	−0.641825	−	1.97533i	−0.0232356	−	0.0715119i
$764$	13.6960	+	18.8509i	0.495504	+	0.682003i
$765$	11.0585	+	2.38884i	0.399820	+	0.0863688i
$766$	12.8207	−	4.16570i	0.463231	−	0.150513i
$767$	4.17928	−	12.8625i	0.150905	−	0.464438i
$768$	6.12738	+	1.65270i	0.221103	+	0.0596368i
$769$		−	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	0.855115	−	0.518439i	$-0.173486\pi$
$773$	34.5364	+	11.2215i	1.24219	+	0.403611i	0.387072	+	0.922050i	$0.373486\pi$
$774$	−0.153418	+	0.263708i	−0.00551451	+	0.00947881i
$775$	−5.54859	+	4.03129i	−0.199311	+	0.144808i
$776$	−31.2789	+	22.7254i	−1.12285	+	0.815796i
$777$	−0.436852	+	0.352560i	−0.0156720	+	0.0126480i
$778$	−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
$783$	−10.1899	+	5.12841i	−0.364156	+	0.183275i
$784$	4.73239	−	14.5648i	0.169014	−	0.520172i
$785$	−6.01249	+	1.95358i	−0.214595	+	0.0697261i
$786$	−7.73506	+	11.8679i	−0.275900	+	0.423314i
$787$	−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
$789$	−1.90595	−	37.5571i	−0.0678536	−	1.33707i
$790$	2.52658	+	1.83567i	0.0898917	+	0.0653101i
$791$	−0.785314			−0.0279225
$792$	14.5704	+	14.5233i	0.517736	+	0.516064i
$793$	−2.09183			−0.0742829
$794$	−0.749577	−	0.544600i	−0.0266015	−	0.0193271i
$795$	0.171925	+	3.38782i	0.00609757	+	0.120154i
$796$	−1.68748	−	5.19352i	−0.0598110	−	0.184079i
$797$	15.4667	+	21.2880i	0.547857	+	0.754061i	0.989720	−	0.143022i	$-0.0456819\pi$
$797$	15.4667	+	21.2880i	0.547857	+	0.754061i	−0.441862	+	0.897083i	$0.645682\pi$
$798$	−1.01946	+	1.56416i	−0.0360885	+	0.0553706i
$799$	34.1218	−	11.0868i	1.20714	−	0.392224i
$800$	1.66108	−	5.11227i	0.0587280	−	0.180746i
$801$	−2.20944	−	21.7126i	−0.0780666	−	0.767177i
$802$		−	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
$807$	33.3185	−	26.8896i	1.17287	−	0.946557i
$808$	−17.6534	+	12.8260i	−0.621045	+	0.451216i
$809$	−25.8066	+	18.7496i	−0.907312	+	0.659201i	−0.940334	−	0.340254i	$-0.889487\pi$
$809$	−25.8066	+	18.7496i	−0.907312	+	0.659201i	0.0330214	+	0.999455i	$0.489487\pi$
$810$	1.01712	+	4.94597i	0.0357379	+	0.173784i
$811$	−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
$816$	−13.9399	−	3.75994i	−0.487995	−	0.131624i
$817$	0.401900	−	1.23692i	0.0140607	−	0.0432744i
$818$	7.00789	−	2.27700i	0.245025	−	0.0796135i
$819$	0.417794	−	1.93406i	0.0145989	−	0.0675815i
$820$	−12.2882	−	16.9133i	−0.429123	−	0.590638i
$821$	12.5257	+	38.5501i	0.437149	+	1.34541i	0.890868	+	0.454262i	$0.150097\pi$
$821$	12.5257	+	38.5501i	0.437149	+	1.34541i	−0.453719	+	0.891145i	$0.649903\pi$
$822$	3.55589	−	0.180455i	0.124026	−	0.00629408i
$823$	−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
$825$	4.25644	−	3.85781i	0.148190	−	0.134312i
$826$	−0.824875			−0.0287011
$827$	−32.3370	−	23.4942i	−1.12447	−	0.816973i	−0.139586	−	0.990210i	$-0.544577\pi$
$827$	−32.3370	−	23.4942i	−1.12447	−	0.816973i	−0.984880	+	0.173237i	$0.944577\pi$
$828$	−30.4388	+	13.4316i	−1.05782	+	0.466782i
$829$	−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
$831$	−40.0263	−	26.0877i	−1.38850	−	0.904972i
$832$	3.29125	−	1.06939i	0.114104	−	0.0370745i
$833$	8.07396	−	24.8491i	0.279746	−	0.860970i
$834$	−2.82322	+	10.4671i	−0.0977600	+	0.362444i
$835$			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	$-0.533840\pi$
$839$	−22.4895	−	7.30729i	−0.776425	−	0.252276i	−0.670313	+	0.742078i	$0.733840\pi$
$840$	0.602239	+	0.746226i	0.0207792	+	0.0257472i
$841$	19.5622	−	14.2128i	0.674559	−	0.490096i
$842$	−13.3268	+	9.68246i	−0.459271	+	0.333680i
$843$	−21.0836	−	26.1244i	−0.726158	−	0.899772i
$844$	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
$849$	7.15008	−	26.5089i	0.245390	−	0.909781i
$850$	0.653828	−	2.01228i	0.0224261	−	0.0690205i
$851$	−7.57563	+	2.46147i	−0.259689	+	0.0843782i
$852$	−6.14273	−	4.00360i	−0.210446	−	0.137161i
$853$	−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
$855$	−8.69009	−	19.6935i	−0.297195	−	0.673503i
$856$	−22.6731	−	16.4730i	−0.774952	−	0.563036i
$857$	32.2688			1.10228			0.551140	−	0.834413i	$-0.314193\pi$
$857$	32.2688			1.10228			0.551140	+	0.834413i	$0.314193\pi$
$858$	−7.77067	−	1.62515i	−0.265286	−	0.0554817i
$859$	−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
$861$	5.74612	−	0.291604i	0.195827	−	0.00993785i
$862$	5.88790	+	18.1211i	0.200543	+	0.617207i
$863$	28.7130	+	39.5200i	0.977401	+	1.34528i	0.938218	+	0.346046i	$0.112476\pi$
$863$	28.7130	+	39.5200i	0.977401	+	1.34528i	0.0391838	+	0.999232i	$0.487524\pi$
$864$	−4.23235	−	27.6087i	−0.143987	−	0.939266i
$865$	−3.84569	+	1.24954i	−0.130758	+	0.0424857i
$866$	5.92246	−	18.2275i	0.201253	−	0.619394i
$867$	4.64592	+	1.25312i	0.157784	+	0.0425580i
$868$			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
$873$	48.4892	+	28.2097i	1.64111	+	0.954754i
$874$	−21.4327	+	15.5718i	−0.724972	+	0.526723i
$875$	0.216629	−	0.157390i	0.00732339	−	0.00532076i
$876$	17.3401	−	13.9943i	0.585867	−	0.472822i
$877$	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	$-0.880453\pi$
$881$		−	21.7744i		−	0.733599i	0.930300	−	0.366800i	$-0.119547\pi$
$882$	11.6015	−	1.18055i	0.390643	−	0.0397512i
$883$	−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
$885$	5.19278	−	7.96728i	0.174553	−	0.267817i
$886$	2.66973	+	3.67457i	0.0896914	+	0.123450i
$887$	4.47768	+	13.7809i	0.150346	+	0.462717i	0.997660	−	0.0683756i	$-0.0217816\pi$
$887$	4.47768	+	13.7809i	0.150346	+	0.462717i	−0.847314	+	0.531093i	$0.821782\pi$
$888$	−0.219695	−	4.32912i	−0.00737247	−	0.145276i
$889$	−4.41686	−	3.20904i	−0.148137	−	0.107628i
$890$	−4.08161			−0.136816
$891$	10.7443	−	27.8489i	0.359949	−	0.932972i
$892$	−38.3484			−1.28400
$893$	−55.2254	−	40.1236i	−1.84805	−	1.34269i
$894$	−0.564909	−	11.1316i	−0.0188934	−	0.372298i
$895$	−0.543746	−	1.67348i	−0.0181754	−	0.0559382i
$896$	−1.81612	−	2.49967i	−0.0606723	−	0.0835083i
$897$	15.3303	−	23.5212i	0.511863	−	0.785350i
$898$	−1.61018	+	0.523181i	−0.0537325	+	0.0174588i
$899$	−4.65287	+	14.3201i	−0.155182	+	0.477601i
$900$	−5.02969	+	0.511812i	−0.167656	+	0.0170604i
$901$		−	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
$906$	−6.52206	+	5.26361i	−0.216681	+	0.174872i
$907$	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
$909$	27.3667	+	15.9212i	0.907697	+	0.528074i
$910$	−0.351935	−	0.114351i	−0.0116665	−	0.00379069i
$911$	−9.88739	+	13.6088i	−0.327584	+	0.450880i	−0.940764	−	0.339063i	$-0.889890\pi$
$911$	−9.88739	+	13.6088i	−0.327584	+	0.450880i	0.613180	+	0.789943i	$0.289890\pi$
$912$	9.80207	+	25.6622i	0.324579	+	0.849759i
$913$	0.492014	+	8.57915i	0.0162833	+	0.283928i
$914$		−	1.17780i		−	0.0389583i
$915$	−1.42018	−	0.383056i	−0.0469497	−	0.0126635i
$916$	−8.63241	+	26.5678i	−0.285223	+	0.877826i
$917$	3.71237	−	1.20622i	0.122593	−	0.0398329i
$918$	−1.66592	−	10.8672i	−0.0549837	−	0.358672i
$919$	−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
$921$	38.6305	−	1.96042i	1.27292	−	0.0645981i
$922$	15.6106	+	11.3418i	0.514108	+	0.373521i
$923$	6.18748			0.203663
$924$	−0.279395	−	2.57712i	−0.00919142	−	0.0847811i
$925$	−1.21041			−0.0397979
$926$	−9.81639	−	7.13202i	−0.322586	−	0.234373i
$927$	−2.45658	−	5.56711i	−0.0806848	−	0.182848i
$928$	−3.64673	−	11.2235i	−0.119710	−	0.368428i
$929$	5.75783	+	7.92497i	0.188908	+	0.260010i	0.892957	−	0.450141i	$-0.148626\pi$
$929$	5.75783	+	7.92497i	0.188908	+	0.260010i	−0.704049	+	0.710151i	$0.748626\pi$
$930$	5.58358	+	3.63918i	0.183093	+	0.119333i
$931$	−47.2788	+	15.3618i	−1.54950	+	0.503463i
$932$	1.27567	−	3.92610i	0.0417858	−	0.128604i
$933$	0.580176	−	2.15100i	0.0189941	−	0.0704204i
$934$			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
$939$	25.8066	+	31.9766i	0.842167	+	1.04352i
$940$	−12.9707	+	9.42373i	−0.423056	+	0.307368i
$941$	−0.827605	+	0.601290i	−0.0269792	+	0.0196015i	−0.601193	−	0.799104i	$-0.705308\pi$
$941$	−0.827605	+	0.601290i	−0.0269792	+	0.0196015i	0.574214	+	0.818705i	$0.305308\pi$
$942$	3.85829	+	4.78075i	0.125710	+	0.155765i
$943$	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	$-0.114567\pi$
$948$	−4.23116	+	15.6870i	−0.137422	+	0.509490i
$949$	−5.81067	+	17.8834i	−0.188622	+	0.580520i
$950$	−3.82863	+	1.24400i	−0.124217	+	0.0403606i
$951$	33.0109	+	21.5153i	1.07045	+	0.697681i
$952$	−1.22722	−	1.68912i	−0.0397744	−	0.0547448i
$953$	12.9538	+	39.8678i	0.419616	+	1.29145i	0.908056	+	0.418848i	$0.137566\pi$
$953$	12.9538	+	39.8678i	0.419616	+	1.29145i	−0.488440	+	0.872598i	$0.662434\pi$
$954$	3.01586	−	1.33080i	0.0976420	−	0.0430863i
$955$	−11.1860	−	8.12714i	−0.361972	−	0.262988i
$956$	8.26426			0.267285
$957$	2.58172	−	12.3445i	0.0834552	−	0.399042i
$958$	−5.92632			−0.191471
$959$	−0.793705	−	0.576660i	−0.0256301	−	0.0186213i
$960$	2.43032	−	0.123334i	0.0784382	−	0.00398058i
$961$	4.95606	+	15.2532i	0.159873	+	0.492038i
$962$	0.983211	+	1.35327i	0.0317000	+	0.0436313i
$963$	−8.58612	+	39.7470i	−0.276684	+	1.28083i
$964$	−27.2308	+	8.84782i	−0.877045	+	0.284969i
$965$	2.32831	−	7.16580i	0.0749509	−	0.230675i
$966$	−1.65331	−	0.445939i	−0.0531945	−	0.0143478i
$967$			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	0.255706	−	0.966755i	$-0.417692\pi$
$971$	−3.29270	−	1.06986i	−0.105668	−	0.0343336i	−0.361374	+	0.932421i	$0.617692\pi$
$972$	−22.1495	+	14.1248i	−0.710446	+	0.453054i
$973$	2.41672	−	1.75585i	0.0774764	−	0.0562899i
$974$	16.3356	−	11.8685i	0.523428	−	0.380293i
$975$	3.32000	−	2.67940i	0.106325	−	0.0858093i
$976$	1.78530	+	0.580078i	0.0571459	+	0.0185678i
$977$	−25.9758	+	35.7526i	−0.831039	+	1.14383i	0.156690	+	0.987648i	$0.449918\pi$
$977$	−25.9758	+	35.7526i	−0.831039	+	1.14383i	−0.987729	+	0.156179i	$0.950082\pi$
$978$	7.58824	−	2.89845i	0.242645	−	0.0926822i
$979$	20.3001	+	13.0413i	0.648793	+	0.416801i
$980$			11.6757i			0.372967i
$981$	−2.35575	−	23.1505i	−0.0752133	−	0.739137i
$982$	1.41053	−	4.34118i	0.0450119	−	0.138532i
$983$	25.7179	−	8.35625i	0.820273	−	0.266523i	0.131330	−	0.991339i	$-0.458075\pi$
$983$	25.7179	−	8.35625i	0.820273	−	0.266523i	0.688943	+	0.724816i	$0.258075\pi$
$984$	−24.2580	+	37.2190i	−0.773317	+	1.18650i
$985$	−0.847490	−	1.16647i	−0.0270033	−	0.0371668i
$986$	−1.43541	−	4.41775i	−0.0457129	−	0.140690i
$987$	−0.223629	−	4.40665i	−0.00711819	−	0.140265i
$988$	−24.0958	−	17.5066i	−0.766590	−	0.556960i
$989$	1.19284			0.0379302
$990$	−4.97805	−	2.52631i	−0.158213	−	0.0802915i
$991$	−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
$993$	−1.42117	−	28.0045i	−0.0450995	−	0.888695i
$994$	−0.116618	−	0.358913i	−0.00369889	−	0.0113840i
$995$	1.90466	+	2.62154i	0.0603818	+	0.0831084i
$996$	4.12945	−	6.33580i	0.130846	−	0.200758i
$997$	−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
$999$	−5.61805	+	2.82749i	−0.177747	+	0.0894577i

Twists

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

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

\(f(q)\)	\(=\)	\(q+(0.453901 + 0.329779i) q^{2} +(-0.0877853 - 1.72982i) q^{3} +(-0.520762 - 1.60274i) q^{4} +(0.587785 + 0.809017i) q^{5} +(0.530613 - 0.814119i) q^{6} +(-0.254663 + 0.0827449i) q^{7} +(0.638924 - 1.96641i) q^{8} +(-2.98459 + 0.303706i) q^{9} +O(q^{10})\)	\(q+(0.453901 + 0.329779i) q^{2} +(-0.0877853 - 1.72982i) q^{3} +(-0.520762 - 1.60274i) q^{4} +(0.587785 + 0.809017i) q^{5} +(0.530613 - 0.814119i) q^{6} +(-0.254663 + 0.0827449i) q^{7} +(0.638924 - 1.96641i) q^{8} +(-2.98459 + 0.303706i) 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} +(1.34786 - 1.08779i) q^{15} +(-1.78826 + 1.29924i) q^{16} +(-3.05095 + 2.21665i) q^{17} +(-1.45486 - 0.846400i) 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} +(-3.45763 - 0.932606i) q^{24} +(-0.309017 + 0.951057i) q^{25} +(1.31433 - 0.427051i) q^{26} +(0.787361 + 5.13615i) q^{27} +(0.265237 + 0.365067i) q^{28} +(0.678415 + 2.08795i) q^{29} +(0.970523 - 0.0492522i) q^{30} +(5.54859 + 4.03129i) q^{31} -5.37536 q^{32} +(-4.98431 - 2.85599i) q^{33} -2.11583 q^{34} +(-0.216629 - 0.157390i) q^{35} +(2.04102 + 4.62536i) q^{36} +(0.374036 + 1.15116i) q^{37} +(2.36623 + 3.25683i) q^{38} +(-3.57419 - 2.32953i) q^{39} +(1.96641 - 0.638924i) q^{40} +(3.83351 - 11.7983i) q^{41} +(-0.0677631 + 0.251231i) 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} +(2.40445 + 2.97931i) q^{48} +(-5.60511 + 4.07235i) q^{49} +(-0.453901 + 0.329779i) q^{50} +(4.10224 + 5.08302i) 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} +(3.23642 - 11.9990i) q^{57} +(-0.380627 + 1.17145i) q^{58} +(5.22194 - 1.69671i) q^{59} +(-2.44535 - 1.59379i) q^{60} +(-0.499172 - 0.687052i) q^{61} +(1.18908 + 3.65961i) q^{62} +(0.734933 - 0.324302i) q^{63} +(1.13663 + 0.825809i) q^{64} +2.46317 q^{65} +(-1.32054 - 2.94005i) q^{66} -0.419155 q^{67} +(5.14152 + 3.73554i) q^{68} +(11.3837 - 0.577701i) q^{69} +(-0.0464242 - 0.142879i) q^{70} +(1.47652 + 2.03225i) q^{71} +(-1.30972 + 6.06296i) q^{72} +(-7.26034 + 2.35903i) q^{73} +(-0.209854 + 0.645864i) q^{74} +(1.67229 + 0.451057i) 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} +(8.81553 - 1.81288i) q^{81} +(5.63087 - 4.09106i) q^{82} +(-2.09613 + 1.52293i) q^{83} +(0.608219 - 0.490861i) 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} +(-0.170395 - 1.67451i) q^{90} +(-0.203814 + 0.627276i) q^{91} +(10.5474 - 3.42705i) q^{92} +(6.48634 - 9.95198i) q^{93} +(-3.13740 - 4.31826i) q^{94} +(2.21726 + 6.82402i) q^{95} +(0.471877 + 9.29843i) q^{96} +(-15.1281 - 10.9912i) q^{97} -3.88714 q^{98} +(-4.50281 + 8.87269i) 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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