LMFDB - Embedded newform 504.2.cz.b.283.43

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(187,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 4, 5]))

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

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

chi := DirichletCharacter("504.187");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.cz (of order $6$, degree $2$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$90$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			283.43
Character	$\chi$	$=$	504.283
Dual form			504.2.cz.b.187.43

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.149593 - 1.40628i) q^{2} +(0.512728 - 1.65442i) q^{3} +(-1.95524 + 0.420738i) q^{4} +3.15287 q^{5} +(-2.40328 - 0.473549i) q^{6} +(2.64453 + 0.0803577i) q^{7} +(0.884165 + 2.68668i) q^{8} +(-2.47422 - 1.69654i) q^{9} +O(q^{10})$	\(q+(-0.149593 - 1.40628i) q^{2} +(0.512728 - 1.65442i) q^{3} +(-1.95524 + 0.420738i) q^{4} +3.15287 q^{5} +(-2.40328 - 0.473549i) q^{6} +(2.64453 + 0.0803577i) q^{7} +(0.884165 + 2.68668i) q^{8} +(-2.47422 - 1.69654i) q^{9} +(-0.471646 - 4.43382i) q^{10} +1.62924 q^{11} +(-0.306430 + 3.45052i) q^{12} +(0.0400258 - 0.0693267i) q^{13} +(-0.282597 - 3.73097i) q^{14} +(1.61656 - 5.21618i) q^{15} +(3.64596 - 1.64529i) q^{16} +(-1.13969 - 0.658003i) q^{17} +(-2.01568 + 3.73323i) q^{18} +(3.49599 - 2.01841i) q^{19} +(-6.16463 + 1.32653i) q^{20} +(1.48887 - 4.33397i) q^{21} +(-0.243722 - 2.29117i) q^{22} +4.24876i q^{23} +(4.89824 - 0.0852469i) q^{24} +4.94060 q^{25} +(-0.103480 - 0.0459167i) q^{26} +(-4.07539 + 3.22354i) q^{27} +(-5.20451 + 0.955536i) q^{28} +(-3.48772 + 2.01364i) q^{29} +(-7.57723 - 1.49304i) q^{30} +(-1.98774 - 3.44287i) q^{31} +(-2.85915 - 4.88111i) q^{32} +(0.835356 - 2.69545i) q^{33} +(-0.754846 + 1.70116i) q^{34} +(8.33787 + 0.253358i) q^{35} +(5.55150 + 2.27614i) q^{36} +(-9.45599 + 5.45942i) q^{37} +(-3.36143 - 4.61441i) q^{38} +(-0.0941733 - 0.101765i) q^{39} +(2.78766 + 8.47076i) q^{40} +(-10.5992 - 6.11948i) q^{41} +(-6.31749 - 1.44544i) q^{42} +(5.79819 + 10.0428i) q^{43} +(-3.18556 + 0.685483i) q^{44} +(-7.80090 - 5.34896i) q^{45} +(5.97494 - 0.635583i) q^{46} +(-0.424453 + 0.735174i) q^{47} +(-0.852621 - 6.87554i) q^{48} +(6.98709 + 0.425017i) q^{49} +(-0.739077 - 6.94786i) q^{50} +(-1.67297 + 1.54816i) q^{51} +(-0.0490918 + 0.152391i) q^{52} +(-4.62915 - 2.67264i) q^{53} +(5.14285 + 5.24891i) q^{54} +5.13678 q^{55} +(2.12231 + 7.17606i) q^{56} +(-1.54681 - 6.81875i) q^{57} +(3.35347 + 4.60348i) q^{58} +(-3.75725 + 2.16925i) q^{59} +(-0.966133 + 10.8791i) q^{60} +(-2.63830 + 4.56967i) q^{61} +(-4.54429 + 3.31035i) q^{62} +(-6.40682 - 4.68536i) q^{63} +(-6.43650 + 4.75094i) q^{64} +(0.126196 - 0.218578i) q^{65} +(-3.91552 - 0.771525i) q^{66} +(-3.10666 - 5.38090i) q^{67} +(2.50523 + 0.807043i) q^{68} +(7.02924 + 2.17846i) q^{69} +(-0.890992 - 11.7633i) q^{70} -4.99349i q^{71} +(2.37043 - 8.14746i) q^{72} +(7.72355 + 4.45919i) q^{73} +(9.09202 + 12.4811i) q^{74} +(2.53318 - 8.17383i) q^{75} +(-5.98630 + 5.41739i) q^{76} +(4.30857 + 0.130922i) q^{77} +(-0.129023 + 0.147657i) q^{78} +(12.5916 + 7.26978i) q^{79} +(11.4952 - 5.18739i) q^{80} +(3.24353 + 8.39521i) q^{81} +(-7.02012 + 15.8209i) q^{82} +(2.34461 - 1.35366i) q^{83} +(-1.08764 + 9.10039i) q^{84} +(-3.59331 - 2.07460i) q^{85} +(13.2556 - 9.65619i) q^{86} +(1.54315 + 6.80260i) q^{87} +(1.44052 + 4.37724i) q^{88} +(-5.04396 + 2.91213i) q^{89} +(-6.35517 + 11.7704i) q^{90} +(0.111420 - 0.180120i) q^{91} +(-1.78762 - 8.30736i) q^{92} +(-6.71513 + 1.52331i) q^{93} +(1.09736 + 0.486923i) q^{94} +(11.0224 - 6.36380i) q^{95} +(-9.54138 + 2.22755i) q^{96} +(15.1154 - 8.72685i) q^{97} +(-0.447524 - 9.88937i) q^{98} +(-4.03110 - 2.76406i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9}+O(q^{10}) $ 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9	$ 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9} + 16 q^{11} - 3 q^{12} + 7 q^{14} - 7 q^{16} - 18 q^{17} - 13 q^{18} - 6 q^{19} - 36 q^{20} - 16 q^{22} - 24 q^{24} + 156 q^{25} - 6 q^{26} + 16 q^{28} - 8 q^{30} + 13 q^{32} - 36 q^{33} + 12 q^{34} - 12 q^{35} + 2 q^{36} + 42 q^{41} + 31 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} + 9 q^{48} + 20 q^{49} + 15 q^{50} - 42 q^{51} - 12 q^{54} - 40 q^{56} - 26 q^{57} - 38 q^{58} + 18 q^{59} - 38 q^{60} - 8 q^{64} - 12 q^{65} - 21 q^{66} - 14 q^{67} - 42 q^{70} + 5 q^{72} + 18 q^{73} - 98 q^{74} - 48 q^{75} + 12 q^{76} - 33 q^{78} - 63 q^{80} + 8 q^{81} - 54 q^{82} - 6 q^{83} - 77 q^{84} + 26 q^{86} - 58 q^{88} - 66 q^{89} + 51 q^{90} + 2 q^{91} - 60 q^{92} + 9 q^{94} - 30 q^{96} + 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) $ 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9 + 16 * q^11 - 3 * q^12 + 7 * q^14 - 7 * q^16 - 18 * q^17 - 13 * q^18 - 6 * q^19 - 36 * q^20 - 16 * q^22 - 24 * q^24 + 156 * q^25 - 6 * q^26 + 16 * q^28 - 8 * q^30 + 13 * q^32 - 36 * q^33 + 12 * q^34 - 12 * q^35 + 2 * q^36 + 42 * q^41 + 31 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 + 9 * q^48 + 20 * q^49 + 15 * q^50 - 42 * q^51 - 12 * q^54 - 40 * q^56 - 26 * q^57 - 38 * q^58 + 18 * q^59 - 38 * q^60 - 8 * q^64 - 12 * q^65 - 21 * q^66 - 14 * q^67 - 42 * q^70 + 5 * q^72 + 18 * q^73 - 98 * q^74 - 48 * q^75 + 12 * q^76 - 33 * q^78 - 63 * q^80 + 8 * q^81 - 54 * q^82 - 6 * q^83 - 77 * q^84 + 26 * q^86 - 58 * q^88 - 66 * q^89 + 51 * q^90 + 2 * q^91 - 60 * q^92 + 9 * q^94 - 30 * q^96 + 6 * q^97 + 31 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$-1$	$-1$	$e\left(\frac{1}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.149593	−	1.40628i	−0.105778	−	0.994390i
$2$	−0.149593	−	1.40628i	−0.105778	−	0.994390i
$3$	0.512728	−	1.65442i	0.296023	−	0.955181i
$3$	0.512728	−	1.65442i	0.296023	−	0.955181i
$4$	−1.95524	+	0.420738i	−0.977622	+	0.210369i
$5$	3.15287			1.41001			0.705003	−	0.709204i	$-0.250945\pi$
$5$	3.15287			1.41001			0.705003	+	0.709204i	$0.250945\pi$
$6$	−2.40328	−	0.473549i	−0.981135	−	0.193326i
$7$	2.64453	+	0.0803577i	0.999539	+	0.0303724i
$7$	2.64453	+	0.0803577i	0.999539	+	0.0303724i
$8$	0.884165	+	2.68668i	0.312600	+	0.949885i
$9$	−2.47422	−	1.69654i	−0.824740	−	0.565512i
$10$	−0.471646	−	4.43382i	−0.149148	−	1.40210i
$11$	1.62924			0.491234			0.245617	−	0.969367i	$-0.421009\pi$
$11$	1.62924			0.491234			0.245617	+	0.969367i	$0.421009\pi$
$12$	−0.306430	+	3.45052i	−0.0884586	+	0.996080i
$13$	0.0400258	−	0.0693267i	0.0111012	−	0.0192278i	−0.860421	−	0.509583i	$-0.829800\pi$
$13$	0.0400258	−	0.0693267i	0.0111012	−	0.0192278i	0.871523	+	0.490355i	$0.163133\pi$
$14$	−0.282597	−	3.73097i	−0.0755272	−	0.997144i
$15$	1.61656	−	5.21618i	0.417395	−	1.34681i
$16$	3.64596	−	1.64529i	0.911490	−	0.411323i
$17$	−1.13969	−	0.658003i	−0.276416	−	0.159589i	0.355384	−	0.934721i	$-0.384350\pi$
$17$	−1.13969	−	0.658003i	−0.276416	−	0.159589i	−0.631800	+	0.775131i	$0.717684\pi$
$18$	−2.01568	+	3.73323i	−0.475100	+	0.879932i
$19$	3.49599	−	2.01841i	0.802036	−	0.463056i	−0.0421465	−	0.999111i	$-0.513420\pi$
$19$	3.49599	−	2.01841i	0.802036	−	0.463056i	0.844183	+	0.536056i	$0.180086\pi$
$20$	−6.16463	+	1.32653i	−1.37845	+	0.296622i
$21$	1.48887	−	4.33397i	0.324898	−	0.945749i
$22$	−0.243722	−	2.29117i	−0.0519617	−	0.488478i
$23$			4.24876i			0.885928i	0.896539	+	0.442964i	$0.146073\pi$
$23$			4.24876i			0.885928i	−0.896539	+	0.442964i	$0.853927\pi$
$24$	4.89824	−	0.0852469i	0.999849	−	0.0174009i
$25$	4.94060			0.988120
$26$	−0.103480	−	0.0459167i	−0.0202942	−	0.00900501i
$27$	−4.07539	+	3.22354i	−0.784308	+	0.620371i
$28$	−5.20451	+	0.955536i	−0.983560	+	0.180579i
$29$	−3.48772	+	2.01364i	−0.647653	+	0.373923i	−0.787556	−	0.616242i	$-0.788654\pi$
$29$	−3.48772	+	2.01364i	−0.647653	+	0.373923i	0.139903	+	0.990165i	$0.455321\pi$
$30$	−7.57723	−	1.49304i	−1.38341	−	0.272591i
$31$	−1.98774	−	3.44287i	−0.357009	−	0.618358i	0.630450	−	0.776230i	$-0.282870\pi$
$31$	−1.98774	−	3.44287i	−0.357009	−	0.618358i	−0.987460	+	0.157871i	$0.949537\pi$
$32$	−2.85915	−	4.88111i	−0.505431	−	0.862867i
$33$	0.835356	−	2.69545i	0.145417	−	0.469217i
$34$	−0.754846	+	1.70116i	−0.129455	+	0.291747i
$35$	8.33787	+	0.253358i	1.40936	+	0.0428252i
$36$	5.55150	+	2.27614i	0.925250	+	0.379357i
$37$	−9.45599	+	5.45942i	−1.55456	+	0.897523i	−0.556794	+	0.830650i	$0.687969\pi$
$37$	−9.45599	+	5.45942i	−1.55456	+	0.897523i	−0.997762	+	0.0668728i	$0.978698\pi$
$38$	−3.36143	−	4.61441i	−0.545296	−	0.748556i
$39$	−0.0941733	−	0.101765i	−0.0150798	−	0.0162955i
$40$	2.78766	+	8.47076i	0.440768	+	1.33934i
$41$	−10.5992	−	6.11948i	−1.65532	−	0.955701i	−0.974831	−	0.222947i	$-0.928432\pi$
$41$	−10.5992	−	6.11948i	−1.65532	−	0.955701i	−0.680493	−	0.732755i	$-0.738234\pi$
$42$	−6.31749	−	1.44544i	−0.974810	−	0.223036i
$43$	5.79819	+	10.0428i	0.884215	+	1.53151i	0.846610	+	0.532213i	$0.178639\pi$
$43$	5.79819	+	10.0428i	0.884215	+	1.53151i	0.0376048	+	0.999293i	$0.488027\pi$
$44$	−3.18556	+	0.685483i	−0.480241	+	0.103340i
$45$	−7.80090	−	5.34896i	−1.16289	−	0.797376i
$46$	5.97494	−	0.635583i	0.880957	−	0.0937116i
$47$	−0.424453	+	0.735174i	−0.0619128	+	0.107236i	−0.895320	−	0.445423i	$-0.853053\pi$
$47$	−0.424453	+	0.735174i	−0.0619128	+	0.107236i	0.833408	+	0.552659i	$0.186387\pi$
$48$	−0.852621	−	6.87554i	−0.123065	−	0.992399i
$49$	6.98709	+	0.425017i	0.998155	+	0.0607167i
$50$	−0.739077	−	6.94786i	−0.104521	−	0.982576i
$51$	−1.67297	+	1.54816i	−0.234262	+	0.216785i
$52$	−0.0490918	+	0.152391i	−0.00680781	+	0.0211328i
$53$	−4.62915	−	2.67264i	−0.635862	−	0.367115i	0.147157	−	0.989113i	$-0.452988\pi$
$53$	−4.62915	−	2.67264i	−0.635862	−	0.367115i	−0.783019	+	0.621998i	$0.786321\pi$
$54$	5.14285	+	5.24891i	0.699853	+	0.714287i
$55$	5.13678			0.692643
$56$	2.12231	+	7.17606i	0.283605	+	0.958941i
$57$	−1.54681	−	6.81875i	−0.204880	−	0.903165i
$58$	3.35347	+	4.60348i	0.440332	+	0.604467i
$59$	−3.75725	+	2.16925i	−0.489153	+	0.282412i	−0.724223	−	0.689566i	$-0.757801\pi$
$59$	−3.75725	+	2.16925i	−0.489153	+	0.282412i	0.235070	+	0.971978i	$0.424468\pi$
$60$	−0.966133	+	10.8791i	−0.124727	+	1.40448i
$61$	−2.63830	+	4.56967i	−0.337800	+	0.585087i	−0.984019	−	0.178066i	$-0.943016\pi$
$61$	−2.63830	+	4.56967i	−0.337800	+	0.585087i	0.646219	+	0.763152i	$0.276349\pi$
$62$	−4.54429	+	3.31035i	−0.577125	+	0.420415i
$63$	−6.40682	−	4.68536i	−0.807184	−	0.590300i
$64$	−6.43650	+	4.75094i	−0.804563	+	0.593868i
$65$	0.126196	−	0.218578i	0.0156527	−	0.0271113i
$66$	−3.91552	−	0.771525i	−0.481967	−	0.0949681i
$67$	−3.10666	−	5.38090i	−0.379539	−	0.657381i	0.611456	−	0.791279i	$-0.290584\pi$
$67$	−3.10666	−	5.38090i	−0.379539	−	0.657381i	−0.990995	+	0.133897i	$0.957251\pi$
$68$	2.50523	+	0.807043i	0.303803	+	0.0978683i
$69$	7.02924	+	2.17846i	0.846221	+	0.262255i
$70$	−0.890992	−	11.7633i	−0.106494	−	1.40598i
$71$		−	4.99349i		−	0.592619i	−0.955092	−	0.296309i	$-0.904244\pi$
$71$		−	4.99349i		−	0.592619i	0.955092	−	0.296309i	$-0.0957559\pi$
$72$	2.37043	−	8.14746i	0.279358	−	0.960187i
$73$	7.72355	+	4.45919i	0.903973	+	0.521909i	0.878487	−	0.477766i	$-0.158553\pi$
$73$	7.72355	+	4.45919i	0.903973	+	0.521909i	0.0254859	+	0.999675i	$0.491887\pi$
$74$	9.09202	+	12.4811i	1.05693	+	1.45090i
$75$	2.53318	−	8.17383i	0.292507	−	0.943833i
$76$	−5.98630	+	5.41739i	−0.686676	+	0.621417i
$77$	4.30857	+	0.130922i	0.491007	+	0.0149199i
$78$	−0.129023	+	0.147657i	−0.0146090	+	0.0167189i
$79$	12.5916	+	7.26978i	1.41667	+	0.817914i	0.996005	−	0.0893020i	$-0.0284636\pi$
$79$	12.5916	+	7.26978i	1.41667	+	0.817914i	0.420664	+	0.907216i	$0.361797\pi$
$80$	11.4952	−	5.18739i	1.28521	−	0.579968i
$81$	3.24353	+	8.39521i	0.360393	+	0.932801i
$82$	−7.02012	+	15.8209i	−0.775243	+	1.74713i
$83$	2.34461	−	1.35366i	0.257355	−	0.148584i	−0.365773	−	0.930704i	$-0.619195\pi$
$83$	2.34461	−	1.35366i	0.257355	−	0.148584i	0.623127	+	0.782120i	$0.285862\pi$
$84$	−1.08764	+	9.10039i	−0.118671	+	0.992934i
$85$	−3.59331	−	2.07460i	−0.389749	−	0.225022i
$86$	13.2556	−	9.65619i	1.42938	−	1.04125i
$87$	1.54315	+	6.80260i	0.165443	+	0.729316i
$88$	1.44052	+	4.37724i	0.153560	+	0.466616i
$89$	−5.04396	+	2.91213i	−0.534659	+	0.308685i	−0.742912	−	0.669390i	$-0.766556\pi$
$89$	−5.04396	+	2.91213i	−0.534659	+	0.308685i	0.208253	+	0.978075i	$0.433222\pi$
$90$	−6.35517	+	11.7704i	−0.669894	+	1.24071i
$91$	0.111420	−	0.180120i	0.0116800	−	0.0188817i
$92$	−1.78762	−	8.30736i	−0.186372	−	0.866102i
$93$	−6.71513	+	1.52331i	−0.696327	+	0.157960i
$94$	1.09736	+	0.486923i	0.113184	+	0.0502223i
$95$	11.0224	−	6.36380i	1.13088	−	0.652912i
$96$	−9.54138	+	2.22755i	−0.973813	+	0.227349i
$97$	15.1154	−	8.72685i	1.53473	−	0.886078i	0.535598	−	0.844473i	$-0.320086\pi$
$97$	15.1154	−	8.72685i	1.53473	−	0.886078i	0.999134	−	0.0416045i	$-0.0132470\pi$
$98$	−0.447524	−	9.88937i	−0.0452067	−	0.998978i
$99$	−4.03110	−	2.76406i	−0.405140	−	0.277799i
$100$	−9.66008	+	2.07870i	−0.966008	+	0.207870i
$101$	6.20642			0.617562			0.308781	−	0.951133i	$-0.400079\pi$
$101$	6.20642			0.617562			0.308781	+	0.951133i	$0.400079\pi$
$102$	2.42741	+	2.12107i	0.240349	+	0.210017i
$103$	4.88811			0.481640			0.240820	−	0.970570i	$-0.422584\pi$
$103$	4.88811			0.481640			0.240820	+	0.970570i	$0.422584\pi$
$104$	0.221648	+	0.0462402i	0.0217344	+	0.00453423i
$105$	4.69421	−	13.6644i	0.458108	−	1.33351i
$106$	−3.06599	+	6.90968i	−0.297795	+	0.671128i
$107$	−6.31512	−	10.9381i	−0.610505	−	1.05743i	−0.991155	−	0.132707i	$-0.957633\pi$
$107$	−6.31512	−	10.9381i	−0.610505	−	1.05743i	0.380650	−	0.924719i	$-0.375700\pi$
$108$	6.61211	−	8.01748i	0.636250	−	0.771483i
$109$	−9.99835	−	5.77255i	−0.957668	−	0.552910i	−0.0622137	−	0.998063i	$-0.519816\pi$
$109$	−9.99835	−	5.77255i	−0.957668	−	0.552910i	−0.895455	+	0.445153i	$0.853149\pi$
$110$	−0.768425	−	7.22375i	−0.0732664	−	0.688758i
$111$	4.18383	+	18.4434i	0.397112	+	1.75057i
$112$	9.77406	−	4.05804i	0.923562	−	0.383449i
$113$	2.58894	−	4.48417i	0.243547	−	0.421835i	−0.718175	−	0.695862i	$-0.755022\pi$
$113$	2.58894	−	4.48417i	0.243547	−	0.421835i	0.961722	+	0.274027i	$0.0883558\pi$
$114$	−9.35767	+	3.19529i	−0.876426	+	0.299266i
$115$			13.3958i			1.24916i
$116$	5.97213	−	5.40456i	0.554498	−	0.501801i
$117$	−0.216648	+	0.103624i	−0.0200291	+	0.00958008i
$118$	3.61263	+	4.95924i	0.332570	+	0.456535i
$119$	−2.96108	−	1.83169i	−0.271442	−	0.167911i
$120$	15.4435	−	0.268772i	1.40979	−	0.0245355i
$121$	−8.34558			−0.758689
$122$	6.82091	+	3.02660i	0.617536	+	0.274016i
$123$	−15.5587	+	14.3980i	−1.40288	+	1.29822i
$124$	5.33507	+	5.89534i	0.479104	+	0.529417i
$125$	−0.187286			−0.0167514
$126$	−5.63052	+	9.71068i	−0.501606	+	0.865096i
$127$		−	19.1471i		−	1.69903i	−0.527562	−	0.849516i	$-0.676894\pi$
$127$		−	19.1471i		−	1.69903i	0.527562	−	0.849516i	$-0.323106\pi$
$128$	7.64400	+	8.34082i	0.675641	+	0.737231i
$129$	19.5878	−	4.44345i	1.72461	−	0.391224i
$130$	−0.326260	−	0.144769i	−0.0286149	−	0.0126971i
$131$			18.7225i			1.63579i	0.575369	+	0.817894i	$0.304859\pi$
$131$			18.7225i			1.63579i	−0.575369	+	0.817894i	$0.695141\pi$
$132$	−0.499247	+	5.62172i	−0.0434539	+	0.489308i
$133$	9.40746	−	5.05683i	0.815730	−	0.438482i
$134$	−7.10231	+	5.17378i	−0.613546	+	0.446947i
$135$	−12.8492	+	10.1634i	−1.10588	+	0.874728i
$136$	0.760165	−	3.64378i	0.0651836	−	0.312451i
$137$	6.95238			0.593982			0.296991	−	0.954880i	$-0.404017\pi$
$137$	6.95238			0.593982			0.296991	+	0.954880i	$0.404017\pi$
$138$	2.01200	−	10.2110i	0.171273	−	0.869214i
$139$	11.7683	+	6.79440i	0.998170	+	0.576294i	0.907706	−	0.419606i	$-0.137832\pi$
$139$	11.7683	+	6.79440i	0.998170	+	0.576294i	0.0904638	+	0.995900i	$0.471165\pi$
$140$	−16.4092	+	3.01268i	−1.38683	+	0.254618i
$141$	0.998659	+	1.07917i	0.0841023	+	0.0908824i
$142$	−7.02225	+	0.746990i	−0.589294	+	0.0626860i
$143$	0.0652116	−	0.112950i	0.00545327	−	0.00944534i
$144$	−11.8122	−	2.11468i	−0.984350	−	0.176224i
$145$	−10.9963	+	6.34873i	−0.913195	+	0.527234i
$146$	5.11549	−	11.5285i	0.423361	−	0.954108i
$147$	4.28563	−	11.3417i	0.353473	−	0.935445i
$148$	16.1918	−	14.6530i	1.33096	−	1.20447i
$149$			0.302852i			0.0248106i	0.999923	+	0.0124053i	$0.00394883\pi$
$149$			0.302852i			0.0248106i	−0.999923	+	0.0124053i	$0.996051\pi$
$150$	−11.8736	−	2.33962i	−0.969478	−	0.191029i
$151$			3.04606i			0.247885i	0.992289	+	0.123943i	$0.0395538\pi$
$151$			3.04606i			0.247885i	−0.992289	+	0.123943i	$0.960446\pi$
$152$	8.51387	+	7.60801i	0.690566	+	0.617091i
$153$	1.70353	+	3.56157i	0.137722	+	0.287936i
$154$	−0.460418	−	6.07864i	−0.0371015	−	0.489831i
$155$	−6.26710	−	10.8549i	−0.503386	−	0.871889i
$156$	0.226948	+	0.159354i	0.0181704	+	0.0127585i
$157$	−6.07320	−	10.5191i	−0.484694	−	0.839514i	0.515152	−	0.857099i	$-0.327736\pi$
$157$	−6.07320	−	10.5191i	−0.484694	−	0.839514i	−0.999845	+	0.0175848i	$0.994402\pi$
$158$	8.33973	−	18.7949i	0.663473	−	1.49524i
$159$	−6.79516	+	6.28822i	−0.538892	+	0.498689i
$160$	−9.01453	−	15.3895i	−0.712661	−	1.21665i
$161$	−0.341421	+	11.2360i	−0.0269077	+	0.885519i
$162$	11.3208	−	5.81718i	0.889446	−	0.457041i
$163$	7.33302	+	12.7012i	0.574367	+	0.994832i	0.996110	+	0.0881170i	$0.0280849\pi$
$163$	7.33302	+	12.7012i	0.574367	+	0.994832i	−0.421743	+	0.906715i	$0.638582\pi$
$164$	23.2988	+	7.50556i	1.81933	+	0.586086i
$165$	2.63377	−	8.49840i	0.205039	−	0.661600i
$166$	−2.25437	−	3.09468i	−0.174973	−	0.240194i
$167$	−0.0238525	+	0.0413137i	−0.00184576	+	0.00319695i	−0.866947	−	0.498401i	$-0.833921\pi$
$167$	−0.0238525	+	0.0413137i	−0.00184576	+	0.00319695i	0.865101	+	0.501598i	$0.167254\pi$
$168$	12.9604	+	0.168173i	0.999916	+	0.0129748i
$169$	6.49680	+	11.2528i	0.499754	+	0.865599i
$170$	−2.37993	+	5.36354i	−0.182532	+	0.411365i
$171$	−12.0742	−	0.937079i	−0.923335	−	0.0716602i
$172$	−15.5622	−	17.1965i	−1.18661	−	1.31122i
$173$	−10.7598	+	18.6365i	−0.818053	+	1.41691i	0.0890613	+	0.996026i	$0.471613\pi$
$173$	−10.7598	+	18.6365i	−0.818053	+	1.41691i	−0.907115	+	0.420884i	$0.861720\pi$
$174$	9.33552	−	3.18772i	0.707724	−	0.241661i
$175$	13.0656	+	0.397015i	0.987664	+	0.0300115i
$176$	5.94014	−	2.68057i	0.447755	−	0.202056i
$177$	1.66241	+	7.32832i	0.124954	+	0.550830i
$178$	4.84981	+	6.65759i	0.363509	+	0.499007i
$179$	−8.05382	+	13.9496i	−0.601971	+	1.04264i	0.390551	+	0.920581i	$0.372284\pi$
$179$	−8.05382	+	13.9496i	−0.601971	+	1.04264i	−0.992522	+	0.122063i	$0.961049\pi$
$180$	17.5032	+	7.17638i	1.30461	+	0.534896i
$181$	17.3344			1.28846			0.644230	−	0.764832i	$-0.277178\pi$
$181$	17.3344			1.28846			0.644230	+	0.764832i	$0.277178\pi$
$182$	−0.269967	−	0.129744i	−0.0200113	−	0.00961723i
$183$	6.20743	+	6.70786i	0.458867	+	0.495859i
$184$	−11.4151	+	3.75661i	−0.841529	+	0.276941i
$185$	−29.8135	+	17.2129i	−2.19193	+	1.26551i
$186$	3.14673	+	9.21548i	0.230730	+	0.675712i
$187$	−1.85683	−	1.07204i	−0.135785	−	0.0783956i
$188$	0.520594	−	1.61603i	0.0379682	−	0.117861i
$189$	−11.0365	+	8.19727i	−0.802789	+	0.596264i
$190$	−10.5982	−	14.5486i	−0.768871	−	1.05547i
$191$	−1.98156	−	1.14405i	−0.143380	−	0.0827807i	0.426594	−	0.904443i	$-0.359713\pi$
$191$	−1.98156	−	1.14405i	−0.143380	−	0.0827807i	−0.569974	+	0.821663i	$0.693047\pi$
$192$	4.55988	+	13.0846i	0.329081	+	0.944302i
$193$	−11.4301	−	19.7975i	−0.822758	−	1.42506i	−0.903621	−	0.428333i	$-0.859101\pi$
$193$	−11.4301	−	19.7975i	−0.822758	−	1.42506i	0.0808629	−	0.996725i	$-0.474232\pi$
$194$	−14.5335	−	19.9509i	−1.04345	−	1.43239i
$195$	−0.296916	−	0.320853i	−0.0212626	−	0.0229767i
$196$	−13.8403	+	2.10872i	−0.988591	+	0.150623i
$197$			10.0173i			0.713700i	0.934162	+	0.356850i	$0.116149\pi$
$197$			10.0173i			0.713700i	−0.934162	+	0.356850i	$0.883851\pi$
$198$	−3.28402	+	6.08233i	−0.233385	+	0.432253i
$199$	−4.29226	+	7.43441i	−0.304270	+	0.527011i	−0.977099	−	0.212787i	$-0.931746\pi$
$199$	−4.29226	+	7.43441i	−0.304270	+	0.527011i	0.672829	+	0.739798i	$0.265079\pi$
$200$	4.36831	+	13.2738i	0.308886	+	0.938600i
$201$	−10.4951	+	2.38079i	−0.740271	+	0.167928i
$202$	−0.928435	−	8.72797i	−0.0653245	−	0.614098i
$203$	−9.38519	+	5.04486i	−0.658711	+	0.354079i
$204$	2.61969	−	3.73091i	0.183415	−	0.261216i
$205$	−33.4180	−	19.2939i	−2.33402	−	1.34755i
$206$	−0.731226	−	6.87405i	−0.0509469	−	0.478938i
$207$	7.20817	−	10.5124i	0.501003	−	0.730660i
$208$	0.0318698	−	0.318616i	0.00220977	−	0.0220921i
$209$	5.69581	−	3.28848i	0.393987	−	0.227469i
$210$	−19.9182	−	4.55728i	−1.37449	−	0.314482i
$211$	−2.83896	+	4.91723i	−0.195442	+	0.338516i	−0.947045	−	0.321100i	$-0.895948\pi$
$211$	−2.83896	+	4.91723i	−0.195442	+	0.338516i	0.751603	+	0.659616i	$0.229281\pi$
$212$	10.1756	+	3.27800i	0.698863	+	0.225134i
$213$	−8.26134	−	2.56030i	−0.566058	−	0.175429i
$214$	−14.4373	+	10.5171i	−0.986916	+	0.718933i
$215$	18.2809	+	31.6635i	1.24675	+	2.15943i
$216$	−12.2639	−	8.09911i	−0.834456	−	0.551075i
$217$	−4.97999	−	9.26451i	−0.338064	−	0.628916i
$218$	−6.62214	+	14.9240i	−0.448508	+	1.01078i
$219$	11.3375	−	10.4917i	0.766115	−	0.708960i
$220$	−10.0437	+	2.16124i	−0.677143	+	0.145711i
$221$	−0.0912343	+	0.0526742i	−0.00613709	+	0.00354325i
$222$	25.3107	−	8.64263i	1.69874	−	0.580056i
$223$	6.85163	+	11.8674i	0.458819	+	0.794698i	0.998899	−	0.0469158i	$-0.0149393\pi$
$223$	6.85163	+	11.8674i	0.458819	+	0.794698i	−0.540080	+	0.841614i	$0.681606\pi$
$224$	−7.16887	−	13.1380i	−0.478990	−	0.877820i
$225$	−12.2241	−	8.38190i	−0.814942	−	0.558793i
$226$	−6.69328	−	2.96997i	−0.445230	−	0.197559i
$227$		−	13.1680i		−	0.873992i	−0.899463	−	0.436996i	$-0.856042\pi$
$227$		−	13.1680i		−	0.873992i	0.899463	−	0.436996i	$-0.143958\pi$
$228$	5.89330	+	12.6815i	0.390294	+	0.839853i
$229$	4.88176			0.322596			0.161298	−	0.986906i	$-0.448432\pi$
$229$	4.88176			0.322596			0.161298	+	0.986906i	$0.448432\pi$
$230$	18.8382	−	2.00391i	1.24216	−	0.132134i
$231$	2.42572	−	7.06107i	0.159601	−	0.464584i
$232$	−8.49372	−	7.59000i	−0.557640	−	0.498308i
$233$	1.93359	+	3.34907i	0.126674	+	0.219405i	0.922386	−	0.386270i	$-0.126237\pi$
$233$	1.93359	+	3.34907i	0.126674	+	0.219405i	−0.795712	+	0.605675i	$0.792903\pi$
$234$	0.178134	+	0.289166i	0.0116450	+	0.0189034i
$235$	−1.33825	+	2.31791i	−0.0872975	+	0.151204i
$236$	6.43366	−	5.82224i	0.418796	−	0.378995i
$237$	18.4834	−	17.1044i	1.20062	−	1.11105i
$238$	−2.13291	+	4.43811i	−0.138256	+	0.287680i
$239$	−21.4576	−	12.3886i	−1.38798	−	0.801350i	−0.394892	−	0.918727i	$-0.629218\pi$
$239$	−21.4576	−	12.3886i	−1.38798	−	0.801350i	−0.993087	+	0.117377i	$0.962551\pi$
$240$	−2.68821	−	21.6777i	−0.173523	−	1.39929i
$241$		−	0.869751i		−	0.0560256i	−0.999608	−	0.0280128i	$-0.991082\pi$
$241$		−	0.869751i		−	0.0560256i	0.999608	−	0.0280128i	$-0.00891792\pi$
$242$	1.24844	+	11.7362i	0.0802526	+	0.754433i
$243$	15.5523	−	1.06172i	0.997678	−	0.0681093i
$244$	3.23589	−	10.0449i	0.207157	−	0.643056i
$245$	22.0294	+	1.34002i	1.40741	+	0.0856110i
$246$	22.5751	+	19.7261i	1.43933	+	1.25769i
$247$		−	0.323154i		−	0.0205618i
$248$	7.49241	−	8.38450i	0.475768	−	0.532416i
$249$	−1.03738	−	4.57304i	−0.0657414	−	0.289805i
$250$	0.0280166	+	0.263376i	0.00177192	+	0.0166574i
$251$		−	6.29865i		−	0.397567i	−0.980043	−	0.198784i	$-0.936301\pi$
$251$		−	6.29865i		−	0.397567i	0.980043	−	0.198784i	$-0.0636991\pi$
$252$	14.4982	+	6.46543i	0.913302	+	0.407284i
$253$			6.92225i			0.435198i
$254$	−26.9262	+	2.86427i	−1.68950	+	0.179720i
$255$	−5.27465	+	4.88114i	−0.330311	+	0.305669i
$256$	10.5860	−	11.9973i	0.661627	−	0.749833i
$257$			7.60011i			0.474082i	0.971500	+	0.237041i	$0.0761775\pi$
$257$			7.60011i			0.474082i	−0.971500	+	0.237041i	$0.923822\pi$
$258$	−9.17892	−	26.8813i	−0.571455	−	1.67355i
$259$	−25.4454	+	13.6777i	−1.58110	+	0.849894i
$260$	−0.154780	+	0.480469i	−0.00959906	+	0.0297974i
$261$	12.0456	+	0.934860i	0.745603	+	0.0578664i
$262$	26.3290	−	2.80074i	1.62661	−	0.173030i
$263$		−	26.6768i		−	1.64496i	−0.568794	−	0.822480i	$-0.692590\pi$
$263$		−	26.6768i		−	1.64496i	0.568794	−	0.822480i	$-0.307410\pi$
$264$	7.98040	−	0.138888i	0.491160	−	0.00854794i
$265$	−14.5951	−	8.42649i	−0.896570	−	0.517635i
$266$	−8.51860	−	12.4731i	−0.522309	−	0.764772i
$267$	2.23172	+	9.83797i	0.136579	+	0.602074i
$268$	8.33823	+	9.21388i	0.509339	+	0.562827i
$269$	3.84940	−	6.66735i	0.234702	−	0.406516i	−0.724484	−	0.689292i	$-0.757922\pi$
$269$	3.84940	−	6.66735i	0.234702	−	0.406516i	0.959186	+	0.282776i	$0.0912552\pi$
$270$	16.2147	+	16.5491i	0.986798	+	1.00715i
$271$	−3.10958	−	5.38595i	−0.188894	−	0.327173i	0.755988	−	0.654585i	$-0.227157\pi$
$271$	−3.10958	−	5.38595i	−0.188894	−	0.327173i	−0.944882	+	0.327412i	$0.893823\pi$
$272$	−5.23788	−	0.523922i	−0.317593	−	0.0317674i
$273$	−0.240867	−	0.276689i	−0.0145779	−	0.0167460i
$274$	−1.04003	−	9.77699i	−0.0628302	−	0.590650i
$275$	8.04942			0.485398
$276$	−14.6604	−	1.30195i	−0.882455	−	0.0783680i
$277$		−	3.56259i		−	0.214055i	−0.994256	−	0.107028i	$-0.965867\pi$
$277$		−	3.56259i		−	0.214055i	0.994256	−	0.107028i	$-0.0341333\pi$
$278$	7.79439	−	17.5658i	0.467476	−	1.05353i
$279$	−0.922840	+	11.8907i	−0.0552490	+	0.711878i
$280$	6.69136	+	22.6252i	0.399885	+	1.35211i
$281$	−6.37653	−	11.0445i	−0.380392	−	0.658858i	0.610726	−	0.791842i	$-0.290878\pi$
$281$	−6.37653	−	11.0445i	−0.380392	−	0.658858i	−0.991118	+	0.132983i	$0.957544\pi$
$282$	1.36822	−	1.56583i	0.0814763	−	0.0932438i
$283$	23.2365	−	13.4156i	1.38127	−	0.797475i	0.388958	−	0.921256i	$-0.372835\pi$
$283$	23.2365	−	13.4156i	1.38127	−	0.797475i	0.992310	+	0.123780i	$0.0395018\pi$
$284$	2.10095	+	9.76350i	0.124669	+	0.579357i
$285$	−4.87690	−	21.4986i	−0.288883	−	1.27347i
$286$	−0.168594	−	0.0748093i	−0.00996918	−	0.00442357i
$287$	−27.5383	−	17.0349i	−1.62553	−	1.00554i
$288$	−1.20682	+	16.9276i	−0.0711125	+	0.997468i
$289$	−7.63407	−	13.2226i	−0.449063	−	0.777799i
$290$	10.5731	+	14.5142i	0.620872	+	0.852302i
$291$	−6.68783	−	29.4817i	−0.392048	−	1.72825i
$292$	−16.9776	−	5.46922i	−0.993537	−	0.320062i
$293$	−16.2805	+	28.1986i	−0.951116	+	1.64738i	−0.208100	+	0.978108i	$0.566728\pi$
$293$	−16.2805	+	28.1986i	−0.951116	+	1.64738i	−0.743016	+	0.669274i	$0.766605\pi$
$294$	−16.5907	−	4.33016i	−0.967586	−	0.252540i
$295$	−11.8461	+	6.83937i	−0.689709	+	0.398204i
$296$	−23.0284	−	20.5782i	−1.33850	−	1.19608i
$297$	−6.63978	+	5.25192i	−0.385279	+	0.304747i
$298$	0.425894	−	0.0453044i	0.0246714	−	0.00262441i
$299$	0.294553	+	0.170060i	0.0170344	+	0.00983483i
$300$	−1.51395	+	17.0476i	−0.0874077	+	0.984246i
$301$	14.5265	+	27.0243i	0.837292	+	1.55765i
$302$	4.28361	−	0.455668i	0.246494	−	0.0262208i
$303$	3.18221	−	10.2680i	0.182813	−	0.589884i
$304$	9.42537	−	13.1110i	0.540582	−	0.751966i
$305$	−8.31823	+	14.4076i	−0.476300	+	0.824976i
$306$	4.75373	−	2.92842i	0.271753	−	0.167407i
$307$			8.23130i			0.469785i	0.972021	+	0.234892i	$0.0754738\pi$
$307$			8.23130i			0.469785i	−0.972021	+	0.234892i	$0.924526\pi$
$308$	−8.47939	+	1.55680i	−0.483158	+	0.0887067i
$309$	2.50627	−	8.08700i	0.142577	−	0.460053i
$310$	−14.3276	+	10.4371i	−0.813751	+	0.592788i
$311$	−2.48987	−	4.31259i	−0.141188	−	0.244545i	0.786756	−	0.617264i	$-0.211759\pi$
$311$	−2.48987	−	4.31259i	−0.141188	−	0.244545i	−0.927944	+	0.372719i	$0.878425\pi$
$312$	0.190146	−	0.342991i	0.0107649	−	0.0194180i
$313$	−13.0748	−	7.54876i	−0.739033	−	0.426681i	0.0826844	−	0.996576i	$-0.473651\pi$
$313$	−13.0748	−	7.54876i	−0.739033	−	0.426681i	−0.821718	+	0.569895i	$0.806984\pi$
$314$	−13.8843	+	10.1142i	−0.783535	+	0.570777i
$315$	−20.1999	−	14.7723i	−1.13813	−	0.832327i
$316$	−27.6784	−	8.91642i	−1.55703	−	0.501588i
$317$	21.5066	+	12.4168i	1.20793	+	0.697399i	0.962307	−	0.271966i	$-0.0876740\pi$
$317$	21.5066	+	12.4168i	1.20793	+	0.697399i	0.245624	+	0.969365i	$0.421007\pi$
$318$	9.85951	+	8.61523i	0.552894	+	0.483118i
$319$	−5.68233	+	3.28069i	−0.318149	+	0.183684i
$320$	−20.2935	+	14.9791i	−1.13444	+	0.837357i
$321$	−21.3342	+	4.83959i	−1.19076	+	0.270120i
$322$	15.8520	−	1.20069i	0.883397	−	0.0669116i
$323$	−5.31249			−0.295595
$324$	−9.87409	−	15.0500i	−0.548560	−	0.836111i
$325$	0.197751	−	0.342515i	0.0109693	−	0.0189993i
$326$	16.7644	−	12.2123i	0.928496	−	0.676376i
$327$	−14.6767	+	13.5817i	−0.811621	+	0.751072i
$328$	7.06959	−	33.8874i	0.390353	−	1.87112i
$329$	−1.18156	+	1.91008i	−0.0651413	+	0.105306i
$330$	−12.3451	−	2.43252i	−0.679576	−	0.133906i
$331$	0.383679	−	0.664552i	0.0210889	−	0.0365271i	−0.855288	−	0.518152i	$-0.826620\pi$
$331$	0.383679	−	0.664552i	0.0210889	−	0.0365271i	0.876377	+	0.481625i	$0.159953\pi$
$332$	−4.01475	+	3.63321i	−0.220338	+	0.199398i
$333$	32.6583	+	2.53462i	1.78966	+	0.138896i
$334$	0.0616668	+	0.0273630i	0.00337426	+	0.00149724i
$335$	−9.79491	−	16.9653i	−0.535153	−	0.926912i
$336$	−1.70228	−	18.2511i	−0.0928670	−	0.995679i
$337$	−0.253412	+	0.438922i	−0.0138042	+	0.0239096i	−0.872845	−	0.487998i	$-0.837727\pi$
$337$	−0.253412	+	0.438922i	−0.0138042	+	0.0239096i	0.859041	+	0.511907i	$0.171061\pi$
$338$	14.8527	−	10.8196i	0.807879	−	0.588511i
$339$	−6.09129	−	6.58235i	−0.330833	−	0.357504i
$340$	7.89866	+	2.54450i	0.428365	+	0.137995i
$341$	−3.23851	−	5.60926i	−0.175375	−	0.303759i
$342$	0.488413	+	17.1198i	0.0264103	+	0.925735i
$343$	18.4434	+	1.68544i	0.995850	+	0.0910050i
$344$	−21.8551	+	24.4573i	−1.17835	+	1.31865i
$345$	22.1623	+	6.86840i	1.19318	+	0.369782i
$346$	27.8178	+	12.3434i	1.49549	+	0.663586i
$347$	−8.16345	−	14.1395i	−0.438237	−	0.759048i	0.559317	−	0.828954i	$-0.311064\pi$
$347$	−8.16345	−	14.1395i	−0.438237	−	0.759048i	−0.997554	+	0.0699056i	$0.977730\pi$
$348$	−5.87935	−	12.6515i	−0.315166	−	0.678191i
$349$	−6.28314	−	10.8827i	−0.336329	−	0.582538i	0.647411	−	0.762141i	$-0.275852\pi$
$349$	−6.28314	−	10.8827i	−0.336329	−	0.582538i	−0.983739	+	0.179603i	$0.942519\pi$
$350$	−1.39620	−	18.4332i	−0.0746299	−	0.985297i
$351$	0.0603571	+	0.411558i	0.00322162	+	0.0219673i
$352$	−4.65824	−	7.95250i	−0.248285	−	0.423870i
$353$			15.7103i			0.836172i	0.908407	+	0.418086i	$0.137299\pi$
$353$			15.7103i			0.836172i	−0.908407	+	0.418086i	$0.862701\pi$
$354$	10.0570	−	3.43407i	0.534522	−	0.182519i
$355$		−	15.7438i		−	0.835596i
$356$	8.63693	−	7.81612i	0.457756	−	0.414253i
$357$	−4.54862	+	3.95972i	−0.240738	+	0.209570i
$358$	20.8219	+	9.23916i	1.10047	+	0.488305i
$359$	19.6776	−	11.3609i	1.03854	−	0.599604i	0.119123	−	0.992879i	$-0.461992\pi$
$359$	19.6776	−	11.3609i	1.03854	−	0.599604i	0.919421	+	0.393276i	$0.128658\pi$
$360$	7.47365	−	25.6879i	0.393896	−	1.35387i
$361$	−1.35201	+	2.34176i	−0.0711586	+	0.123250i
$362$	−2.59311	−	24.3771i	−0.136291	−	1.28123i
$363$	−4.27901	+	13.8071i	−0.224590	+	0.724685i
$364$	−0.142071	+	0.399058i	−0.00744652	+	0.0209163i
$365$	24.3514	+	14.0593i	1.27461	+	0.735895i
$366$	8.50454	−	9.73283i	0.444539	−	0.508743i
$367$	−7.53746			−0.393452			−0.196726	−	0.980459i	$-0.563031\pi$
$367$	−7.53746			−0.393452			−0.196726	+	0.980459i	$0.563031\pi$
$368$	6.99045	+	15.4908i	0.364402	+	0.807514i
$369$	15.8430	+	33.1229i	0.824751	+	1.72431i
$370$	28.6660	+	39.3512i	1.49027	+	2.04577i
$371$	−12.0272	−	7.43986i	−0.624419	−	0.386259i
$372$	12.4888	−	5.80375i	0.647515	−	0.300911i
$373$			28.6268i			1.48224i	0.671373	+	0.741120i	$0.265705\pi$
$373$			28.6268i			1.48224i	−0.671373	+	0.741120i	$0.734295\pi$
$374$	−1.22982	+	2.77160i	−0.0635927	+	0.143316i
$375$	−0.0960267	+	0.309850i	−0.00495880	+	0.0160006i
$376$	−2.35047	−	0.490354i	−0.121216	−	0.0252881i
$377$			0.322389i			0.0166039i
$378$	13.1786	+	14.2942i	0.677836	+	0.735213i
$379$	−15.0610			−0.773630			−0.386815	−	0.922157i	$-0.626425\pi$
$379$	−15.0610			−0.773630			−0.386815	+	0.922157i	$0.626425\pi$
$380$	−18.8740	+	17.0803i	−0.968217	+	0.876203i
$381$	−31.6774	−	9.81726i	−1.62288	−	0.502954i
$382$	−1.31243	+	2.95776i	−0.0671498	+	0.151332i
$383$	8.95097			0.457373			0.228687	−	0.973500i	$-0.426557\pi$
$383$	8.95097			0.457373			0.228687	+	0.973500i	$0.426557\pi$
$384$	17.7185	−	8.36984i	0.904194	−	0.427121i
$385$	13.5844	+	0.412780i	0.692324	+	0.0210372i
$386$	−26.1310	+	19.0355i	−1.33003	+	0.968882i
$387$	2.69190	−	34.6848i	0.136837	−	1.76313i
$388$	−25.8825	+	23.4227i	−1.31398	+	1.18911i
$389$		−	3.56320i		−	0.180662i	−0.995912	−	0.0903308i	$-0.971208\pi$
$389$		−	3.56320i		−	0.180662i	0.995912	−	0.0903308i	$-0.0287924\pi$
$390$	−0.406792	+	0.465544i	−0.0205987	+	0.0235738i
$391$	2.79570	−	4.84229i	0.141384	−	0.244885i
$392$	5.03586	+	19.1479i	0.254349	+	0.967112i
$393$	30.9748	+	9.59952i	1.56247	+	0.484232i
$394$	14.0871	−	1.49851i	0.709696	−	0.0754937i
$395$	39.6998	+	22.9207i	1.99751	+	1.15326i
$396$	9.04472	+	3.70838i	0.454514	+	0.186353i
$397$	5.23487	+	9.06706i	0.262731	+	0.455063i	0.966967	−	0.254903i	$-0.0820436\pi$
$397$	5.23487	+	9.06706i	0.262731	+	0.455063i	−0.704236	+	0.709966i	$0.748710\pi$
$398$	11.0969	+	4.92398i	0.556239	+	0.246817i
$399$	−3.54266	−	18.1567i	−0.177355	−	0.908971i
$400$	18.0132	−	8.12872i	0.900661	−	0.406436i
$401$	7.66950			0.382996			0.191498	−	0.981493i	$-0.438665\pi$
$401$	7.66950			0.382996			0.191498	+	0.981493i	$0.438665\pi$
$402$	4.91806	+	14.4030i	0.245290	+	0.718354i
$403$	−0.318244			−0.0158529
$404$	−12.1351	+	2.61128i	−0.603743	+	0.129916i
$405$	10.2264	+	26.4690i	0.508156	+	1.31526i
$406$	8.49843	+	12.4435i	0.421770	+	0.617562i
$407$	−15.4061	+	8.89470i	−0.763651	+	0.440894i
$408$	−5.63858	−	3.12590i	−0.279152	−	0.154755i
$409$	11.2030	−	6.46803i	0.553951	−	0.319824i	−0.196763	−	0.980451i	$-0.563043\pi$
$409$	11.2030	−	6.46803i	0.553951	−	0.319824i	0.750714	+	0.660627i	$0.229710\pi$
$410$	−22.1335	+	49.8813i	−1.09310	+	2.46346i
$411$	3.56468	−	11.5022i	0.175833	−	0.567360i
$412$	−9.55745	+	2.05662i	−0.470862	+	0.101322i
$413$	−10.1105	+	5.43473i	−0.497505	+	0.267425i
$414$	−15.8616	−	8.56413i	−0.779556	−	0.420904i
$415$	7.39226	−	4.26793i	0.362872	−	0.209504i
$416$	−0.452831	+	0.00284488i	−0.0222019	+	0.000139482i
$417$	17.2747	−	15.9860i	0.845946	−	0.782836i
$418$	−5.47657	−	7.51797i	−0.267868	−	0.367716i
$419$	26.7404	+	15.4386i	1.30636	+	0.754225i	0.981486	−	0.191534i	$-0.0613462\pi$
$419$	26.7404	+	15.4386i	1.30636	+	0.754225i	0.324870	+	0.945759i	$0.394680\pi$
$420$	−3.42919	+	28.6923i	−0.167327	+	1.40004i
$421$	−0.0295116	+	0.0170385i	−0.00143831	+	0.000830406i	−0.500719	−	0.865610i	$-0.666931\pi$
$421$	−0.0295116	+	0.0170385i	−0.00143831	+	0.000830406i	0.499281	+	0.866440i	$0.333598\pi$
$422$	7.33969	+	3.25680i	0.357291	+	0.158538i
$423$	2.29744	−	1.09888i	0.111705	−	0.0534296i
$424$	3.08760	−	14.8001i	0.149947	−	0.718756i
$425$	−5.63077	−	3.25093i	−0.273132	−	0.157693i
$426$	−2.36466	+	12.0008i	−0.114568	+	0.581439i
$427$	−7.34428	+	11.8726i	−0.355415	+	0.574557i
$428$	16.9497	+	18.7296i	0.819293	+	0.905332i
$429$	−0.153431	−	0.165800i	−0.00740771	−	0.00800490i
$430$	41.7931	−	30.4447i	2.01544	−	1.46818i
$431$	0.136132	+	0.0785960i	0.00655726	+	0.00378584i	0.503275	−	0.864126i	$-0.332128\pi$
$431$	0.136132	+	0.0785960i	0.00655726	+	0.00378584i	−0.496718	+	0.867912i	$0.665462\pi$
$432$	−9.55502	+	18.4581i	−0.459716	+	0.888066i
$433$			20.9730i			1.00790i	0.863734	+	0.503949i	$0.168120\pi$
$433$			20.9730i			1.00790i	−0.863734	+	0.503949i	$0.831880\pi$
$434$	−12.2835	+	8.38916i	−0.589628	+	0.402692i
$435$	4.86536	+	21.4477i	0.233276	+	1.02834i
$436$	21.9779	+	7.08006i	1.05255	+	0.339073i
$437$	8.57576	+	14.8536i	0.410234	+	0.710546i
$438$	−16.4502	−	14.3742i	−0.786021	−	0.686824i
$439$	9.01961	−	15.6224i	0.430483	−	0.745618i	−0.566432	−	0.824108i	$-0.691677\pi$
$439$	9.01961	−	15.6224i	0.430483	−	0.745618i	0.996915	+	0.0784906i	$0.0250101\pi$
$440$	4.54176	+	13.8009i	0.216520	+	0.657932i
$441$	−16.5665	−	12.9054i	−0.788883	−	0.614544i
$442$	0.0877226	+	0.120421i	0.00417254	+	0.00572786i
$443$	10.6500	−	18.4463i	0.505995	−	0.876410i	−0.493981	−	0.869473i	$-0.664459\pi$
$443$	10.6500	−	18.4463i	0.505995	−	0.876410i	0.999976	−	0.00693680i	$-0.00220807\pi$
$444$	−15.9403	−	34.3010i	−0.756491	−	1.62786i
$445$	−15.9030	+	9.18158i	−0.753873	+	0.435249i
$446$	15.6639	−	11.4106i	0.741707	−	0.540307i
$447$	0.501045	+	0.155281i	0.0236986	+	0.00734452i
$448$	−17.4033	+	12.0468i	−0.822229	+	0.569157i
$449$	34.8408			1.64424			0.822120	−	0.569315i	$-0.192791\pi$
$449$	34.8408			1.64424			0.822120	+	0.569315i	$0.192791\pi$
$450$	−9.95865	+	18.4444i	−0.469455	+	0.869478i
$451$	−17.2687	−	9.97009i	−0.813151	−	0.469473i
$452$	−3.17534	+	9.85691i	−0.149355	+	0.463630i
$453$	5.03947	+	1.56180i	0.236775	+	0.0733798i
$454$	−18.5179	+	1.96984i	−0.869089	+	0.0924491i
$455$	0.351294	−	0.567896i	0.0164689	−	0.0266234i
$456$	16.9522	−	10.1847i	0.793857	−	0.476942i
$457$	1.97838	−	3.42666i	0.0925448	−	0.160292i	−0.816036	−	0.578000i	$-0.803833\pi$
$457$	1.97838	−	3.42666i	0.0925448	−	0.160292i	0.908581	+	0.417708i	$0.137167\pi$
$458$	−0.730275	−	6.86511i	−0.0341235	−	0.320786i
$459$	6.76579	−	0.992238i	0.315800	−	0.0463137i
$460$	−5.63612	−	26.1920i	−0.262786	−	1.22121i
$461$	−12.1460	−	21.0375i	−0.565696	−	0.979815i	−0.996985	−	0.0776004i	$-0.975274\pi$
$461$	−12.1460	−	21.0375i	−0.565696	−	0.979815i	0.431288	−	0.902214i	$-0.358059\pi$
$462$	−10.2927	−	2.35496i	−0.478860	−	0.109563i
$463$	−8.76610	−	5.06111i	−0.407395	−	0.235210i	0.282275	−	0.959334i	$-0.408911\pi$
$463$	−8.76610	−	5.06111i	−0.407395	−	0.235210i	−0.689670	+	0.724124i	$0.742244\pi$
$464$	−9.40306	+	13.0799i	−0.436526	+	0.607221i
$465$	−21.1720	+	4.80280i	−0.981826	+	0.222724i
$466$	4.42048	−	3.22016i	0.204775	−	0.149171i
$467$	2.47270	−	1.42762i	0.114423	−	0.0660622i	−0.441696	−	0.897165i	$-0.645623\pi$
$467$	2.47270	−	1.42762i	0.114423	−	0.0660622i	0.556119	+	0.831102i	$0.312290\pi$
$468$	0.380001	−	0.293763i	0.0175655	−	0.0135792i
$469$	−7.78327	−	14.4796i	−0.359398	−	0.668606i
$470$	3.45982	+	1.53521i	0.159590	+	0.0708138i
$471$	−20.5169	+	4.65420i	−0.945369	+	0.214454i
$472$	−9.15012	−	8.17656i	−0.421168	−	0.376357i
$473$	9.44663	+	16.3620i	0.434357	+	0.752328i
$474$	−26.8186	−	23.4341i	−1.23182	−	1.07636i
$475$	17.2723	−	9.97217i	0.792508	−	0.457555i
$476$	6.56030	+	2.33556i	0.300691	+	0.107050i
$477$	6.91930	+	14.4662i	0.316813	+	0.662362i
$478$	−14.2119	+	32.0287i	−0.650037	+	1.46496i
$479$	−33.9203			−1.54986			−0.774930	−	0.632047i	$-0.782215\pi$
$479$	−33.9203			−1.54986			−0.774930	+	0.632047i	$0.782215\pi$
$480$	−30.0828	+	7.02319i	−1.37308	+	0.320563i
$481$			0.874071i			0.0398542i
$482$	−1.22311	+	0.130108i	−0.0557113	+	0.00592627i
$483$	18.4140	+	6.32585i	0.837865	+	0.287836i
$484$	16.3176	−	3.51130i	0.741711	−	0.159605i
$485$	47.6568	−	27.5147i	2.16398	−	1.24938i
$486$	−3.81958	−	21.7120i	−0.173260	−	0.984876i
$487$	−27.3521	−	15.7917i	−1.23944	−	0.715591i	−0.270460	−	0.962731i	$-0.587176\pi$
$487$	−27.3521	−	15.7917i	−1.23944	−	0.715591i	−0.968980	+	0.247140i	$0.920509\pi$
$488$	−14.6099	−	3.04793i	−0.661361	−	0.137973i
$489$	24.7729	−	5.61967i	1.12027	−	0.254130i
$490$	−1.41099	−	31.1799i	−0.0637418	−	1.40857i
$491$	−13.9244	+	24.1177i	−0.628397	+	1.08842i	0.359476	+	0.933154i	$0.382955\pi$
$491$	−13.9244	+	24.1177i	−0.628397	+	1.08842i	−0.987873	+	0.155262i	$0.950378\pi$
$492$	24.3633	−	34.6977i	1.09838	−	1.56429i
$493$	5.29991			0.238696
$494$	−0.454446	+	0.0483415i	−0.0204465	+	0.00217499i
$495$	−12.7095	−	8.71473i	−0.571251	−	0.391698i
$496$	−12.9118	−	9.28216i	−0.579755	−	0.416781i
$497$	0.401266	−	13.2054i	0.0179992	−	0.592345i
$498$	−6.27579	+	2.14294i	−0.281225	+	0.0960275i
$499$	−10.3389			−0.462833			−0.231416	−	0.972855i	$-0.574336\pi$
$499$	−10.3389			−0.462833			−0.231416	+	0.972855i	$0.574336\pi$
$500$	0.366190	−	0.0787983i	0.0163765	−	0.00352397i
$501$	0.0561205	+	0.0606448i	0.00250728	+	0.00270941i
$502$	−8.85766	+	0.942232i	−0.395337	+	0.0420539i
$503$	−22.8800			−1.02017			−0.510085	−	0.860124i	$-0.670386\pi$
$503$	−22.8800			−1.02017			−0.510085	+	0.860124i	$0.670386\pi$
$504$	6.92338	−	21.3557i	0.308392	−	0.951259i
$505$	19.5681			0.870767
$506$	9.73461	−	1.03552i	0.432756	−	0.0460343i
$507$	21.9479	−	4.97883i	0.974742	−	0.221117i
$508$	8.05593	+	37.4373i	0.357424	+	1.66101i
$509$	−31.3761			−1.39072			−0.695361	−	0.718661i	$-0.744755\pi$
$509$	−31.3761			−1.39072			−0.695361	+	0.718661i	$0.744755\pi$
$510$	7.65330	+	6.68745i	0.338894	+	0.296125i
$511$	20.0668	+	12.4131i	0.887704	+	0.549124i
$512$	−18.4552	−	13.0922i	−0.815612	−	0.578599i
$513$	−7.74109	+	19.4953i	−0.341777	+	0.860739i
$514$	10.6879	−	1.13692i	0.471422	−	0.0501474i
$515$	15.4116			0.679116
$516$	−36.4295	+	16.9294i	−1.60372	+	0.745274i
$517$	−0.691535	+	1.19777i	−0.0304137	+	0.0526781i
$518$	23.0412	+	33.7372i	1.01237	+	1.48233i
$519$	25.3158	+	27.3567i	1.11124	+	1.20083i
$520$	0.698828	+	0.145790i	0.0306456	+	0.00639329i
$521$	−0.825290	−	0.476481i	−0.0361566	−	0.0208750i	0.481813	−	0.876274i	$-0.339979\pi$
$521$	−0.825290	−	0.476481i	−0.0361566	−	0.0208750i	−0.517969	+	0.855399i	$0.673312\pi$
$522$	−0.487256	−	17.0793i	−0.0213266	−	0.747541i
$523$	28.2674	−	16.3202i	1.23605	−	0.713633i	0.267765	−	0.963484i	$-0.413715\pi$
$523$	28.2674	−	16.3202i	1.23605	−	0.713633i	0.968284	+	0.249851i	$0.0803817\pi$
$524$	−7.87725	−	36.6070i	−0.344119	−	1.59918i
$525$	7.35591	−	21.4124i	0.321038	−	0.934513i
$526$	−37.5150	+	3.99065i	−1.63573	+	0.174001i
$527$			5.23176i			0.227899i
$528$	−1.38912	−	11.2019i	−0.0604539	−	0.487500i
$529$	4.94804			0.215132
$530$	−9.66668	+	21.7853i	−0.419894	+	0.946295i
$531$	12.9765	+	1.00711i	0.563132	+	0.0437047i
$532$	−16.2663	+	13.8454i	−0.705233	+	0.600275i
$533$	−0.848486	+	0.489874i	−0.0367520	+	0.0212188i
$534$	13.5011	−	4.61010i	0.584249	−	0.199499i
$535$	−19.9107	−	34.4864i	−0.860817	−	1.49098i
$536$	11.7100	−	13.1042i	0.505793	−	0.566016i
$537$	18.9491	+	20.4768i	0.817716	+	0.883638i
$538$	−9.95201	−	4.41594i	−0.429061	−	0.190385i
$539$	11.3836	+	0.692454i	0.490328	+	0.0298261i
$540$	20.8471	−	25.2781i	0.897117	−	1.08780i
$541$	9.95401	−	5.74695i	0.427956	−	0.247081i	−0.270519	−	0.962715i	$-0.587195\pi$
$541$	9.95401	−	5.74695i	0.427956	−	0.247081i	0.698476	+	0.715634i	$0.253862\pi$
$542$	−7.10898	+	5.17864i	−0.305357	+	0.222442i
$543$	8.88785	−	28.6785i	0.381414	−	1.23071i
$544$	0.0467683	+	7.44430i	0.00200517	+	0.319172i
$545$	−31.5235	−	18.2001i	−1.35032	−	0.779607i
$546$	−0.353070	+	0.380116i	−0.0151100	+	0.0162675i
$547$	−15.9795	−	27.6773i	−0.683235	−	1.18340i	−0.973988	−	0.226599i	$-0.927239\pi$
$547$	−15.9795	−	27.6773i	−0.683235	−	1.18340i	0.290753	−	0.956798i	$-0.406094\pi$
$548$	−13.5936	+	2.92513i	−0.580690	+	0.124955i
$549$	14.2804	−	6.83041i	0.609471	−	0.291515i
$550$	−1.20413	−	11.3197i	−0.0513444	−	0.482675i
$551$	−8.12870	+	14.0793i	−0.346294	+	0.599799i
$552$	0.362193	+	20.8114i	0.0154160	+	0.885794i
$553$	32.7148	+	20.2370i	1.39117	+	0.860565i
$554$	−5.00999	+	0.532937i	−0.212854	+	0.0226423i
$555$	13.1911	+	58.1497i	0.559930	+	2.46832i
$556$	−25.8685	−	8.33337i	−1.09707	−	0.353413i
$557$	−23.0692	−	13.3190i	−0.977473	−	0.564344i	−0.0759668	−	0.997110i	$-0.524204\pi$
$557$	−23.0692	−	13.3190i	−0.977473	−	0.564344i	−0.901506	+	0.432766i	$0.857538\pi$
$558$	16.8597	−	0.480991i	0.713728	−	0.0203620i
$559$	0.928308			0.0392633
$560$	30.8164	−	12.7945i	1.30223	−	0.540666i
$561$	−2.72566	+	2.52232i	−0.115078	+	0.106492i
$562$	−14.5777	+	10.6194i	−0.614925	+	0.447951i
$563$	20.5152	−	11.8445i	0.864615	−	0.499185i	−0.000940328	−	1.00000i	$-0.500299\pi$
$563$	20.5152	−	11.8445i	0.864615	−	0.499185i	0.865555	+	0.500814i	$0.166966\pi$
$564$	−2.40667	−	1.68986i	−0.101339	−	0.0711561i
$565$	8.16258	−	14.1380i	0.343402	−	0.594790i
$566$	−22.3421	−	30.6702i	−0.939109	−	1.28916i
$567$	7.90301	+	22.4620i	0.331895	+	0.943316i
$568$	13.4159	−	4.41507i	0.562919	−	0.185252i
$569$	−17.0577	+	29.5447i	−0.715094	+	1.23858i	0.247829	+	0.968804i	$0.420283\pi$
$569$	−17.0577	+	29.5447i	−0.715094	+	1.23858i	−0.962923	+	0.269776i	$0.913050\pi$
$570$	−29.5035	+	10.0743i	−1.23577	+	0.421967i
$571$	8.46574	+	14.6631i	0.354280	+	0.613631i	0.986994	−	0.160754i	$-0.0513926\pi$
$571$	8.46574	+	14.6631i	0.354280	+	0.613631i	−0.632714	+	0.774385i	$0.718059\pi$
$572$	−0.0799823	+	0.248281i	−0.00334423	+	0.0103812i
$573$	−2.90874	+	2.69174i	−0.121514	+	0.112449i
$574$	−19.8363	+	41.2748i	−0.827950	+	1.72278i
$575$			20.9914i			0.875403i
$576$	23.9855	−	0.835119i	0.999394	−	0.0347966i
$577$	−33.2402	−	19.1913i	−1.38381	−	0.798943i	−0.391201	−	0.920305i	$-0.627940\pi$
$577$	−33.2402	−	19.1913i	−1.38381	−	0.798943i	−0.992608	+	0.121363i	$0.961274\pi$
$578$	−17.4527	+	12.7136i	−0.725935	+	0.528817i
$579$	−38.6140	+	8.75948i	−1.60474	+	0.364032i
$580$	18.8294	−	17.0399i	0.781846	−	0.707543i
$581$	6.30918	−	3.39140i	0.261749	−	0.140699i
$582$	−40.4590	+	13.8152i	−1.67708	+	0.572659i
$583$	−7.54199	−	4.35437i	−0.312357	−	0.180340i
$584$	−5.15153	+	24.6934i	−0.213172	+	1.02182i
$585$	−0.683063	+	0.326714i	−0.0282412	+	0.0135080i
$586$	42.0906	+	18.6766i	1.73875	+	0.771523i
$587$	20.2432	−	11.6874i	0.835526	−	0.482391i	−0.0202148	−	0.999796i	$-0.506435\pi$
$587$	20.2432	−	11.6874i	0.835526	−	0.482391i	0.855741	+	0.517404i	$0.173102\pi$
$588$	−3.60758	+	23.9789i	−0.148774	+	0.988871i
$589$	−13.8983	−	8.02418i	−0.572669	−	0.330630i
$590$	11.3902	+	15.6359i	0.468926	+	0.643718i
$591$	16.5728	+	5.13613i	0.681712	+	0.211272i
$592$	−25.4938	+	35.4627i	−1.04779	+	1.45751i
$593$	36.4016	−	21.0165i	1.49483	−	0.863042i	0.494851	−	0.868978i	$-0.335223\pi$
$593$	36.4016	−	21.0165i	1.49483	−	0.863042i	0.999982	+	0.00593582i	$0.00188944\pi$
$594$	8.37893	+	8.55173i	0.343792	+	0.350882i
$595$	−9.33590	−	5.77509i	−0.382735	−	0.236755i
$596$	−0.127421	−	0.592149i	−0.00521938	−	0.0242554i
$597$	10.0989	+	10.9130i	0.413320	+	0.446640i
$598$	0.195089	−	0.439663i	0.00797778	−	0.0179792i
$599$	8.88722	−	5.13104i	0.363122	−	0.209649i	−0.307327	−	0.951604i	$-0.599435\pi$
$599$	8.88722	−	5.13104i	0.363122	−	0.209649i	0.670449	+	0.741955i	$0.266101\pi$
$600$	24.2002	−	0.421171i	0.987970	−	0.0171942i
$601$	−8.71209	+	5.02993i	−0.355374	+	0.205175i	−0.667049	−	0.745013i	$-0.732443\pi$
$601$	−8.71209	+	5.02993i	−0.355374	+	0.205175i	0.311676	+	0.950188i	$0.399110\pi$
$602$	35.8307	−	24.4709i	1.46035	−	0.997360i
$603$	−1.44232	+	18.5841i	−0.0587356	+	0.756803i
$604$	−1.28159	−	5.95580i	−0.0521473	−	0.242338i
$605$	−26.3125			−1.06976
$606$	−14.9158	−	2.93905i	−0.605912	−	0.119391i
$607$	29.7153			1.20611			0.603053	−	0.797701i	$-0.293951\pi$
$607$	29.7153			1.20611			0.603053	+	0.797701i	$0.293951\pi$
$608$	−19.8477	−	11.2934i	−0.804929	−	0.458008i
$609$	3.53427	+	18.1137i	0.143216	+	0.734004i
$610$	21.5054	+	9.54248i	0.870730	+	0.386364i
$611$	0.0339781	+	0.0588519i	0.00137461	+	0.00238089i
$612$	−4.82931	−	6.24701i	−0.195213	−	0.252520i
$613$	15.1167	+	8.72763i	0.610558	+	0.352506i	0.773184	−	0.634182i	$-0.218663\pi$
$613$	15.1167	+	8.72763i	0.610558	+	0.352506i	−0.162626	+	0.986688i	$0.551996\pi$
$614$	11.5755	−	1.23134i	0.467149	−	0.0496929i
$615$	−49.0546	+	45.3950i	−1.97807	+	1.83050i
$616$	3.45775	+	11.6915i	0.139317	+	0.471065i
$617$	2.93147	−	5.07745i	0.118017	−	0.204411i	−0.800965	−	0.598711i	$-0.795680\pi$
$617$	2.93147	−	5.07745i	0.118017	−	0.204411i	0.918982	+	0.394301i	$0.129013\pi$
$618$	−11.7475	−	2.31476i	−0.472554	−	0.0931134i
$619$			12.3048i			0.494573i	0.968942	+	0.247286i	$0.0795389\pi$
$619$			12.3048i			0.494573i	−0.968942	+	0.247286i	$0.920461\pi$
$620$	16.8208	+	18.5872i	0.675539	+	0.746482i
$621$	−13.6961	−	17.3153i	−0.549604	−	0.694841i
$622$	−5.69224	+	4.14659i	−0.228238	+	0.166263i
$623$	−13.5729	+	7.29590i	−0.543788	+	0.292304i
$624$	−0.510785	−	0.216090i	−0.0204478	−	0.00865050i
$625$	−25.2935			−1.01174
$626$	−8.65977	+	19.5161i	−0.346114	+	0.780021i
$627$	−2.52013	−	11.1094i	−0.100644	−	0.443665i
$628$	16.3004	+	18.0122i	0.650455	+	0.718763i
$629$	14.3693			0.572940
$630$	−17.7523	+	30.6165i	−0.707268	+	1.21979i
$631$			27.5446i			1.09653i	0.836304	+	0.548266i	$0.184712\pi$
$631$			27.5446i			1.09653i	−0.836304	+	0.548266i	$0.815288\pi$
$632$	−8.39849	+	40.2574i	−0.334074	+	1.60135i
$633$	6.67956	+	7.21805i	0.265489	+	0.286892i
$634$	14.2443	−	32.1017i	0.565714	−	1.27492i
$635$		−	60.3684i		−	2.39565i
$636$	10.6405	−	15.1540i	0.421924	−	0.600895i
$637$	0.309129	−	0.467380i	0.0122481	−	0.0185183i
$638$	5.46361	+	7.50017i	0.216306	+	0.296935i
$639$	−8.47164	+	12.3550i	−0.335133	+	0.488756i
$640$	24.1006	+	26.2975i	0.952658	+	1.03950i
$641$	−32.8403			−1.29711			−0.648556	−	0.761167i	$-0.724627\pi$
$641$	−32.8403			−1.29711			−0.648556	+	0.761167i	$0.724627\pi$
$642$	9.99726	+	29.2778i	0.394560	+	1.15550i
$643$	4.33664	+	2.50376i	0.171021	+	0.0987388i	0.583067	−	0.812424i	$-0.301853\pi$
$643$	4.33664	+	2.50376i	0.171021	+	0.0987388i	−0.412046	+	0.911163i	$0.635186\pi$
$644$	−4.05984	−	22.1127i	−0.159980	−	0.871363i
$645$	61.7579	−	14.0096i	2.43172	−	0.551628i
$646$	0.794709	+	7.47084i	0.0312674	+	0.293936i
$647$	21.3640	−	37.0035i	0.839905	−	1.45476i	−0.0500677	−	0.998746i	$-0.515944\pi$
$647$	21.3640	−	37.0035i	0.839905	−	1.45476i	0.889973	−	0.456013i	$-0.150723\pi$
$648$	−19.6874	+	16.1371i	−0.773395	+	0.633925i
$649$	−6.12146	+	3.53423i	−0.240288	+	0.138731i
$650$	−0.511255	−	0.226856i	−0.0200531	−	0.00889802i
$651$	−17.8808	+	3.48883i	−0.700803	+	0.136738i
$652$	−19.6817	−	21.7486i	−0.770795	−	0.851741i
$653$		−	36.5027i		−	1.42846i	−0.699910	−	0.714231i	$-0.746776\pi$
$653$		−	36.5027i		−	1.42846i	0.699910	−	0.714231i	$-0.253224\pi$
$654$	21.2952	+	18.6078i	0.832710	+	0.727621i
$655$			59.0295i			2.30647i
$656$	−48.7127	−	4.87251i	−1.90191	−	0.190240i
$657$	−11.5446	−	24.1363i	−0.450397	−	0.941647i
$658$	2.86286	+	1.37586i	0.111606	+	0.0536368i
$659$	4.57831	+	7.92986i	0.178346	+	0.308903i	0.941314	−	0.337532i	$-0.109592\pi$
$659$	4.57831	+	7.92986i	0.178346	+	0.308903i	−0.762968	+	0.646436i	$0.776259\pi$
$660$	−1.57406	+	17.7246i	−0.0612703	+	0.689928i
$661$	2.92442	+	5.06524i	0.113747	+	0.197015i	0.917278	−	0.398247i	$-0.130381\pi$
$661$	2.92442	+	5.06524i	0.113747	+	0.197015i	−0.803531	+	0.595262i	$0.797048\pi$
$662$	−0.991941	−	0.440148i	−0.0385529	−	0.0171068i
$663$	0.0403669	+	0.177948i	0.00156772	+	0.00691091i
$664$	5.70989	+	5.10236i	0.221587	+	0.198010i
$665$	29.6605	−	15.9435i	1.15019	−	0.618263i
$666$	−1.32106	−	46.3059i	−0.0511901	−	1.79432i
$667$	−8.55545	−	14.8185i	−0.331269	−	0.573774i
$668$	0.0292552	−	0.0908141i	0.00113192	−	0.00351370i
$669$	23.1467	−	5.25075i	0.894901	−	0.203006i
$670$	−22.3927	+	16.3123i	−0.865105	+	0.630198i
$671$	−4.29842	+	7.44509i	−0.165939	+	0.287414i
$672$	−25.4115	+	5.12411i	−0.980269	+	0.197667i
$673$	−12.9937	−	22.5058i	−0.500872	−	0.867536i	−0.999999	−	0.00100715i	$-0.999679\pi$
$673$	−12.9937	−	22.5058i	−0.500872	−	0.867536i	0.499128	−	0.866529i	$-0.333654\pi$
$674$	0.655155	+	0.290708i	0.0252356	+	0.0111977i
$675$	−20.1348	+	15.9262i	−0.774991	+	0.613001i
$676$	−17.4373	−	19.2685i	−0.670665	−	0.741095i
$677$	2.47182	−	4.28132i	0.0949998	−	0.164545i	−0.814609	−	0.580011i	$-0.803048\pi$
$677$	2.47182	−	4.28132i	0.0949998	−	0.164545i	0.909609	+	0.415466i	$0.136382\pi$
$678$	−8.34541	+	9.55072i	−0.320504	+	0.366793i
$679$	40.6743	−	21.8638i	1.56094	−	0.839056i
$680$	2.39670	−	11.4884i	0.0919093	−	0.440558i
$681$	−21.7854	−	6.75161i	−0.834820	−	0.258722i
$682$	−7.40373	+	5.39335i	−0.283504	+	0.206522i
$683$	12.1201	−	20.9926i	0.463762	−	0.803260i	−0.535382	−	0.844610i	$-0.679832\pi$
$683$	12.1201	−	20.9926i	0.463762	−	0.803260i	0.999145	+	0.0413497i	$0.0131658\pi$
$684$	24.0022	−	3.24785i	0.917748	−	0.124185i
$685$	21.9200			0.837519
$686$	−0.388803	−	26.1887i	−0.0148446	−	0.999890i
$687$	2.50301	−	8.07648i	0.0954959	−	0.308137i
$688$	37.6632	+	27.0758i	1.43590	+	1.03225i
$689$	−0.370571	+	0.213949i	−0.0141176	+	0.00815081i
$690$	6.34357	−	32.1938i	0.241496	−	1.22560i
$691$	−23.0375	−	13.3007i	−0.876388	−	0.505983i	−0.00692212	−	0.999976i	$-0.502203\pi$
$691$	−23.0375	−	13.3007i	−0.876388	−	0.505983i	−0.869466	+	0.493993i	$0.835537\pi$
$692$	13.1970	−	40.9660i	0.501673	−	1.55730i
$693$	−10.4382	−	7.63358i	−0.396516	−	0.289976i
$694$	−18.6629	+	13.5953i	−0.708434	+	0.516069i
$695$	37.1038	+	21.4219i	1.40743	+	0.812578i
$696$	−16.9120	+	10.1606i	−0.641048	+	0.385136i
$697$	8.05326	+	13.9487i	0.305039	+	0.528343i
$698$	−14.3642	+	10.4638i	−0.543694	+	0.396061i
$699$	6.53218	−	1.48181i	0.247070	−	0.0560471i
$700$	−25.7134	+	4.72092i	−0.971875	+	0.178434i
$701$			5.20314i			0.196520i	0.995161	+	0.0982600i	$0.0313277\pi$
$701$			5.20314i			0.196520i	−0.995161	+	0.0982600i	$0.968672\pi$
$702$	0.569737	−	0.146445i	0.0215033	−	0.00552721i
$703$	−22.0387	+	38.1722i	−0.831207	+	1.43969i
$704$	−10.4866	+	7.74042i	−0.395229	+	0.291728i
$705$	3.14864	+	3.40248i	0.118585	+	0.128145i
$706$	22.0930	−	2.35014i	0.831481	−	0.0884486i
$707$	16.4131	+	0.498734i	0.617277	+	0.0187568i
$708$	−6.33372	−	13.6292i	−0.238036	−	0.512217i
$709$	−18.8972	−	10.9103i	−0.709699	−	0.409745i	0.101250	−	0.994861i	$-0.467716\pi$
$709$	−18.8972	−	10.9103i	−0.709699	−	0.409745i	−0.810950	+	0.585116i	$0.801049\pi$
$710$	−22.1402	+	2.35516i	−0.830908	+	0.0883877i
$711$	−18.8210	−	39.3492i	−0.705844	−	1.47571i
$712$	−12.2837	−	10.9767i	−0.460350	−	0.411369i
$713$	14.6279	−	8.44545i	0.547821	−	0.316284i
$714$	6.24891	+	5.80428i	0.233859	+	0.217220i
$715$	0.205604	−	0.356116i	0.00768915	−	0.0133180i
$716$	9.87805	−	30.6635i	0.369160	−	1.14595i
$717$	−31.4979	+	29.1480i	−1.17631	+	1.08855i
$718$	−18.9202	−	25.9727i	−0.706095	−	0.969293i
$719$	−1.57964	−	2.73601i	−0.0589105	−	0.102036i	0.835066	−	0.550150i	$-0.185429\pi$
$719$	−1.57964	−	2.73601i	−0.0589105	−	0.102036i	−0.893977	+	0.448114i	$0.852096\pi$
$720$	−37.2424	−	6.66733i	−1.38794	−	0.248477i
$721$	12.9268	+	0.392798i	0.481418	+	0.0146285i
$722$	3.49542	+	1.55100i	0.130086	+	0.0577222i
$723$	−1.43894	−	0.445946i	−0.0535146	−	0.0165849i
$724$	−33.8931	+	7.29326i	−1.25963	+	0.271052i
$725$	−17.2314	+	9.94856i	−0.639959	+	0.369480i
$726$	20.0568	+	3.95204i	0.744376	+	0.146674i
$727$	1.42958	+	2.47610i	0.0530201	+	0.0918335i	0.891317	−	0.453380i	$-0.149782\pi$
$727$	1.42958	+	2.47610i	0.0530201	+	0.0918335i	−0.838297	+	0.545213i	$0.816449\pi$
$728$	0.582440	+	0.140095i	0.0215866	+	0.00519226i
$729$	6.21754	−	26.2744i	0.230279	−	0.973125i
$730$	16.1285	−	36.3480i	0.596941	−	1.34530i
$731$		−	15.2609i		−	0.564444i
$732$	−14.9593	−	10.5038i	−0.552912	−	0.388232i
$733$	−30.4648			−1.12524			−0.562622	−	0.826714i	$-0.690207\pi$
$733$	−30.4648			−1.12524			−0.562622	+	0.826714i	$0.690207\pi$
$734$	1.12755	+	10.5998i	0.0416186	+	0.391245i
$735$	13.5120	−	35.7588i	0.498399	−	1.31898i
$736$	20.7387	−	12.1478i	0.764438	−	0.447775i
$737$	−5.06150	−	8.76677i	−0.186443	−	0.322928i
$738$	44.2101	−	27.2346i	1.62740	−	1.00252i
$739$	14.2279	−	24.6434i	0.523380	−	0.906521i	−0.476250	−	0.879310i	$-0.658004\pi$
$739$	14.2279	−	24.6434i	0.523380	−	0.906521i	0.999630	−	0.0272108i	$-0.00866253\pi$
$740$	51.0506	−	46.1990i	1.87666	−	1.69831i
$741$	−0.534634	−	0.165690i	−0.0196403	−	0.00608678i
$742$	−8.66336	+	18.0265i	−0.318042	+	0.661773i
$743$	−24.3731	−	14.0718i	−0.894164	−	0.516246i	−0.0188617	−	0.999822i	$-0.506004\pi$
$743$	−24.3731	−	14.0718i	−0.894164	−	0.516246i	−0.875302	+	0.483576i	$0.839338\pi$
$744$	−10.0299	−	16.6946i	−0.367715	−	0.612052i
$745$			0.954853i			0.0349831i
$746$	40.2573	−	4.28236i	1.47392	−	0.156788i
$747$	−8.09763	−	0.628458i	−0.296277	−	0.0229941i
$748$	4.08161	+	1.31487i	0.149239	+	0.0480763i
$749$	−15.8216	−	29.4336i	−0.578107	−	1.07548i
$750$	0.450100	+	0.0886891i	0.0164353	+	0.00323847i
$751$		−	20.1395i		−	0.734902i	−0.930043	−	0.367451i	$-0.880231\pi$
$751$		−	20.1395i		−	0.734902i	0.930043	−	0.367451i	$-0.119769\pi$
$752$	−0.337963	+	3.37876i	−0.0123242	+	0.123211i
$753$	−10.4206	−	3.22949i	−0.379749	−	0.117689i
$754$	0.453370	−	0.0482271i	0.0165108	−	0.00175633i
$755$			9.60384i			0.349520i
$756$	18.1302	−	20.6711i	0.659389	−	0.751802i
$757$		−	14.6951i		−	0.534104i	−0.963682	−	0.267052i	$-0.913950\pi$
$757$		−	14.6951i		−	0.534104i	0.963682	−	0.267052i	$-0.0860496\pi$
$758$	2.25301	+	21.1799i	0.0818330	+	0.769290i
$759$	11.4523	+	3.54923i	0.415693	+	0.128829i
$760$	26.8431	+	23.9871i	0.973703	+	0.870103i
$761$		−	37.8191i		−	1.37094i	−0.728101	−	0.685470i	$-0.759597\pi$
$761$		−	37.8191i		−	1.37094i	0.728101	−	0.685470i	$-0.240403\pi$
$762$	−9.06711	+	46.0159i	−0.328467	+	1.66698i
$763$	−25.9771	−	16.0691i	−0.940433	−	0.581742i
$764$	4.35577	+	1.40318i	0.157586	+	0.0507654i
$765$	5.37101	+	11.2292i	0.194189	+	0.405992i
$766$	−1.33900	−	12.5876i	−0.0483800	−	0.454807i
$767$			0.347304i			0.0125404i
$768$	−14.4209	−	23.6651i	−0.520369	−	0.853942i
$769$	−30.8752	−	17.8258i	−1.11339	−	0.642815i	−0.173683	−	0.984802i	$-0.555567\pi$
$769$	−30.8752	−	17.8258i	−1.11339	−	0.642815i	−0.939705	+	0.341987i	$0.888900\pi$
$770$	−1.45164	−	19.1652i	−0.0523134	−	0.690665i
$771$	12.5738	+	3.89679i	0.452834	+	0.140339i
$772$	30.6783	+	33.8999i	1.10413	+	1.22009i
$773$	9.35820	−	16.2089i	0.336591	−	0.582993i	−0.647198	−	0.762322i	$-0.724059\pi$
$773$	9.35820	−	16.2089i	0.336591	−	0.582993i	0.983789	+	0.179329i	$0.0573926\pi$
$774$	−49.1792	+	1.40304i	−1.76771	+	0.0504311i
$775$	−9.82064	−	17.0099i	−0.352768	−	0.611012i
$776$	36.8107	+	32.8941i	1.32143	+	1.18083i
$777$	9.58220	+	49.1103i	0.343760	+	1.76182i
$778$	−5.01086	+	0.533029i	−0.179648	+	0.0191100i
$779$	−49.4065			−1.77017
$780$	0.715539	+	0.502422i	0.0256204	+	0.0179896i
$781$		−	8.13559i		−	0.291114i
$782$	−7.22782	−	3.20716i	−0.258466	−	0.114688i
$783$	7.72276	−	19.4492i	0.275989	−	0.695056i
$784$	26.1739	−	9.94620i	0.934782	−	0.355221i
$785$	−19.1480	−	33.1653i	−0.683422	−	1.18372i
$786$	8.86600	−	44.9953i	0.316240	−	1.60493i
$787$	−36.6506	+	21.1602i	−1.30645	+	0.754280i	−0.981502	−	0.191451i	$-0.938681\pi$
$787$	−36.6506	+	21.1602i	−1.30645	+	0.754280i	−0.324950	+	0.945731i	$0.605347\pi$
$788$	−4.21464	−	19.5862i	−0.150140	−	0.697729i
$789$	−44.1346	−	13.6779i	−1.57123	−	0.486947i
$790$	26.2941	−	59.2578i	0.935502	−	2.10830i
$791$	7.20686	−	11.6505i	0.256246	−	0.414243i
$792$	3.86199	−	13.2742i	0.137230	−	0.471677i
$793$	0.211200	+	0.365810i	0.00749994	+	0.0129903i
$794$	11.9677	−	8.71806i	0.424719	−	0.309392i
$795$	−21.4243	+	19.8260i	−0.759841	+	0.703154i
$796$	5.26447	−	16.3420i	0.186594	−	0.579227i
$797$	1.88556	−	3.26589i	0.0667901	−	0.115684i	−0.830697	−	0.556725i	$-0.812058\pi$
$797$	1.88556	−	3.26589i	0.0667901	−	0.115684i	0.897487	+	0.441042i	$0.145391\pi$
$798$	−25.0034	+	7.69807i	−0.885111	+	0.272509i
$799$	0.967493	−	0.558582i	0.0342274	−	0.0197612i
$800$	−14.1259	−	24.1156i	−0.499426	−	0.852616i
$801$	17.4204	+	1.35200i	0.615520	+	0.0477706i
$802$	−1.14730	−	10.7855i	−0.0405126	−	0.380848i
$803$	12.5835	+	7.26509i	0.444062	+	0.256379i
$804$	19.5189	−	9.07074i	0.688378	−	0.319900i
$805$	−1.07646	+	35.4256i	−0.0379401	+	1.24859i
$806$	0.0476070	+	0.447540i	0.00167688	+	0.0157639i
$807$	−9.05692	−	9.78707i	−0.318819	−	0.344521i
$808$	5.48751	+	16.6747i	0.193050	+	0.586613i
$809$	−4.06036	+	7.03274i	−0.142755	+	0.247258i	−0.928533	−	0.371250i	$-0.878929\pi$
$809$	−4.06036	+	7.03274i	−0.142755	+	0.247258i	0.785778	+	0.618508i	$0.212263\pi$
$810$	35.6930	−	18.3408i	1.25412	−	0.644430i
$811$			18.0366i			0.633350i	0.948534	+	0.316675i	$0.102566\pi$
$811$			18.0366i			0.633350i	−0.948534	+	0.316675i	$0.897434\pi$
$812$	16.2278	−	13.8126i	0.569483	−	0.484728i
$813$	−10.5050	+	2.38303i	−0.368426	+	0.0835765i
$814$	14.8131	+	20.3347i	0.519198	+	0.712730i
$815$	23.1201	+	40.0451i	0.809861	+	1.40272i
$816$	−3.55240	+	8.39704i	−0.124359	+	0.293955i
$817$	40.5409	+	23.4063i	1.41835	+	0.818882i
$818$	−10.7717	−	14.7869i	−0.376625	−	0.517013i
$819$	−0.581259	+	0.256629i	−0.0203108	+	0.00896733i
$820$	73.4581	+	23.6641i	2.56527	+	0.826385i
$821$	43.2568	+	24.9743i	1.50967	+	0.871609i	0.999936	+	0.0112774i	$0.00358979\pi$
$821$	43.2568	+	24.9743i	1.50967	+	0.871609i	0.509735	+	0.860332i	$0.329744\pi$
$822$	−16.7085	−	3.29230i	−0.582777	−	0.114832i
$823$	12.1363	−	7.00691i	0.423046	−	0.244246i	−0.273334	−	0.961919i	$-0.588126\pi$
$823$	12.1363	−	7.00691i	0.423046	−	0.244246i	0.696380	+	0.717674i	$0.254793\pi$
$824$	4.32190	+	13.1328i	0.150561	+	0.457503i
$825$	4.12716	−	13.3171i	0.143689	−	0.463643i
$826$	9.15520	+	13.4052i	0.318550	+	0.466426i
$827$	−35.7576			−1.24341			−0.621707	−	0.783250i	$-0.713561\pi$
$827$	−35.7576			−1.24341			−0.621707	+	0.783250i	$0.713561\pi$
$828$	−9.67078	+	23.5870i	−0.336083	+	0.819705i
$829$	−22.6167	+	39.1733i	−0.785512	+	1.36055i	0.143181	+	0.989697i	$0.454267\pi$
$829$	−22.6167	+	39.1733i	−0.785512	+	1.36055i	−0.928693	+	0.370850i	$0.879066\pi$
$830$	−7.10772	−	9.75714i	−0.246713	−	0.338675i
$831$	−5.89402	−	1.82664i	−0.204461	−	0.0633653i
$832$	0.0717409	+	0.636382i	0.00248717	+	0.0220626i
$833$	−7.68348	−	5.08191i	−0.266217	−	0.176078i
$834$	−25.0649	−	21.9017i	−0.867927	−	0.758394i
$835$	−0.0752038	+	0.130257i	−0.00260254	+	0.00450773i
$836$	−9.75311	+	8.82622i	−0.337318	+	0.305261i
$837$	19.1991	+	7.62346i	0.663617	+	0.263505i
$838$	17.7108	−	39.9140i	0.611810	−	1.37881i
$839$	10.0994	+	17.4927i	0.348671	+	0.603915i	0.986014	−	0.166665i	$-0.0532999\pi$
$839$	10.0994	+	17.4927i	0.348671	+	0.603915i	−0.637343	+	0.770580i	$0.719967\pi$
$840$	40.8624	+	0.530229i	1.40989	+	0.0182946i
$841$	−6.39054	+	11.0687i	−0.220364	+	0.381681i
$842$	0.0283756	+	0.0389527i	0.000977888	+	0.00134240i
$843$	−21.5416	+	4.88666i	−0.741934	+	0.168306i
$844$	3.48200	−	10.8088i	0.119855	−	0.372056i
$845$	20.4836	+	35.4786i	0.704656	+	1.22050i
$846$	−1.88902	−	3.06646i	−0.0649458	−	0.105427i
$847$	−22.0701	−	0.670632i	−0.758339	−	0.0230432i
$848$	−21.2750	−	2.12804i	−0.730585	−	0.0730771i
$849$	−10.2811	−	45.3215i	−0.352845	−	1.55543i
$850$	−3.72939	+	8.40475i	−0.127917	+	0.288281i
$851$	−23.1958	−	40.1762i	−0.795141	−	1.37722i
$852$	17.2302	+	1.53015i	0.590295	+	0.0524222i
$853$	−2.30945	−	4.00008i	−0.0790740	−	0.136960i	0.823777	−	0.566915i	$-0.191863\pi$
$853$	−2.30945	−	4.00008i	−0.0790740	−	0.136960i	−0.902851	+	0.429954i	$0.858530\pi$
$854$	17.7949	+	8.55205i	0.608929	+	0.292645i
$855$	−38.0683	−	2.95449i	−1.30191	−	0.101041i
$856$	23.8036	−	26.6378i	0.813589	−	0.910461i
$857$		−	21.5081i		−	0.734701i	−0.930082	−	0.367351i	$-0.880265\pi$
$857$		−	21.5081i		−	0.734701i	0.930082	−	0.367351i	$-0.119735\pi$
$858$	−0.210209	+	0.240569i	−0.00717642	+	0.00821289i
$859$			28.3829i			0.968411i	0.874954	+	0.484205i	$0.160891\pi$
$859$			28.3829i			0.968411i	−0.874954	+	0.484205i	$0.839109\pi$
$860$	−49.0657	−	54.2184i	−1.67313	−	1.84883i
$861$	−42.3025	+	36.8257i	−1.44167	+	1.25502i
$862$	0.0901636	−	0.203197i	0.00307098	−	0.00692093i
$863$	20.2470	−	11.6896i	0.689216	−	0.397919i	−0.114102	−	0.993469i	$-0.536399\pi$
$863$	20.2470	−	11.6896i	0.689216	−	0.397919i	0.803318	+	0.595550i	$0.203066\pi$
$864$	27.3866	+	10.6758i	0.931711	+	0.363199i
$865$	−33.9243	+	58.7586i	−1.15346	+	1.99785i
$866$	29.4939	−	3.13740i	1.00224	−	0.106613i
$867$	−25.7899	+	5.85037i	−0.875872	+	0.198689i
$868$	13.6350	+	16.0191i	0.462803	+	0.543724i
$869$	20.5148	+	11.8442i	0.695916	+	0.401787i
$870$	29.4337	−	10.0505i	0.997895	−	0.340743i
$871$	−0.497387			−0.0168533
$872$	6.66880	−	31.9663i	0.225834	−	1.08251i
$873$	−52.2041	−	4.05157i	−1.76684	−	0.137125i
$874$	19.6055	−	14.2819i	0.663166	−	0.483093i
$875$	−0.495283	−	0.0150499i	−0.0167436	−	0.000508778i
$876$	−17.7533	+	25.2838i	−0.599827	+	0.854262i
$877$		−	43.3472i		−	1.46373i	−0.681450	−	0.731865i	$-0.738650\pi$
$877$		−	43.3472i		−	1.46373i	0.681450	−	0.731865i	$-0.261350\pi$
$878$	−23.3188	−	10.3471i	−0.786970	−	0.349198i
$879$	38.3050	+	41.3930i	1.29199	+	1.39615i
$880$	18.7285	−	8.45150i	0.631337	−	0.284900i
$881$			25.2180i			0.849616i	0.905284	+	0.424808i	$0.139658\pi$
$881$			25.2180i			0.849616i	−0.905284	+	0.424808i	$0.860342\pi$
$882$	−15.6704	+	25.2277i	−0.527650	+	0.849462i
$883$	0.109495			0.00368482			0.00184241	−	0.999998i	$-0.499414\pi$
$883$	0.109495			0.00368482			0.00184241	+	0.999998i	$0.499414\pi$
$884$	0.156223	−	0.141377i	0.00525436	−	0.00475501i
$885$	5.24136	+	23.1052i	0.176186	+	0.776674i
$886$	−27.5338	−	12.2174i	−0.925016	−	0.410452i
$887$	21.3925			0.718288			0.359144	−	0.933282i	$-0.383069\pi$
$887$	21.3925			0.718288			0.359144	+	0.933282i	$0.383069\pi$
$888$	−45.8523	+	27.5476i	−1.53870	+	0.924438i
$889$	1.53862	−	50.6352i	0.0516036	−	1.69825i
$890$	15.2908	+	20.9905i	0.512550	+	0.703604i
$891$	5.28449	+	13.6778i	0.177037	+	0.458223i
$892$	−18.3897	−	20.3209i	−0.615732	−	0.680393i
$893$			3.42689i			0.114676i
$894$	0.143415	−	0.727838i	0.00479652	−	0.0243425i
$895$	−25.3927	+	43.9814i	−0.848783	+	1.47014i
$896$	19.5446	+	22.6718i	0.652938	+	0.757412i
$897$	0.432376	−	0.400120i	0.0144366	−	0.0133596i
$898$	−5.21193	−	48.9959i	−0.173924	−	1.63501i
$899$	13.8654	+	8.00518i	0.462436	+	0.266988i
$900$	27.4277	+	11.2455i	0.914258	+	0.374850i
$901$	3.51721	+	6.09198i	0.117175	+	0.202953i
$902$	−11.4375	+	25.7761i	−0.380826	+	0.858249i
$903$	52.1577	−	10.1768i	1.73570	−	0.338663i
$904$	14.3366	+	2.99090i	0.476827	+	0.0994757i
$905$	54.6533			1.81674
$906$	1.44246	−	7.32054i	0.0479225	−	0.243209i
$907$	43.6590			1.44967			0.724836	−	0.688921i	$-0.241916\pi$
$907$	43.6590			1.44967			0.724836	+	0.688921i	$0.241916\pi$
$908$	5.54029	+	25.7467i	0.183861	+	0.854434i
$909$	−15.3561	−	10.5294i	−0.509328	−	0.349239i
$910$	−0.851172	−	0.409065i	−0.0282161	−	0.0135604i
$911$	40.4047	−	23.3277i	1.33867	−	0.772880i	0.352057	−	0.935978i	$-0.385482\pi$
$911$	40.4047	−	23.3277i	1.33867	−	0.772880i	0.986610	+	0.163099i	$0.0521489\pi$
$912$	−16.8584	−	22.3159i	−0.558239	−	0.738954i
$913$	3.81994	−	2.20544i	0.126421	−	0.0729894i
$914$	−5.11479	−	2.26956i	−0.169182	−	0.0750702i
$915$	19.5712	+	21.1490i	0.647005	+	0.699165i
$916$	−9.54503	+	2.05394i	−0.315377	+	0.0678641i
$917$	−1.50449	+	49.5121i	−0.0496828	+	1.63503i
$918$	−2.40748	−	9.36616i	−0.0794586	−	0.309129i
$919$	−26.1413	+	15.0927i	−0.862323	+	0.497862i	−0.864789	−	0.502135i	$-0.832548\pi$
$919$	−26.1413	+	15.0927i	−0.862323	+	0.497862i	0.00246672	+	0.999997i	$0.499215\pi$
$920$	−35.9902	+	11.8441i	−1.18656	+	0.390488i
$921$	13.6180	+	4.22041i	0.448729	+	0.139067i
$922$	−27.7677	+	20.2277i	−0.914479	+	0.666165i
$923$	−0.346183	−	0.199869i	−0.0113947	−	0.00657875i
$924$	−1.77202	+	14.8267i	−0.0582953	+	0.487763i
$925$	−46.7183	+	26.9728i	−1.53609	+	0.886860i
$926$	−5.80599	+	13.0847i	−0.190797	+	0.429990i
$927$	−12.0943	−	8.29286i	−0.397228	−	0.272373i
$928$	19.8007	+	11.2667i	0.649989	+	0.369847i
$929$	35.4052	+	20.4412i	1.16161	+	0.670653i	0.951688	−	0.307066i	$-0.0993472\pi$
$929$	35.4052	+	20.4412i	1.16161	+	0.670653i	0.209917	+	0.977719i	$0.432680\pi$
$930$	9.92125	+	29.0552i	0.325330	+	0.952758i
$931$	25.2847	−	12.6170i	0.828672	−	0.413505i
$932$	−5.18972	−	5.73472i	−0.169995	−	0.187847i
$933$	−8.41147	+	1.90812i	−0.275379	+	0.0624690i
$934$	−2.37753	−	3.26375i	−0.0777950	−	0.106793i
$935$	−5.85436	−	3.38002i	−0.191458	−	0.110538i
$936$	−0.469958	−	0.490443i	−0.0153611	−	0.0160306i
$937$		−	2.09716i		−	0.0685113i	−0.999413	−	0.0342556i	$-0.989094\pi$
$937$		−	2.09716i		−	0.0685113i	0.999413	−	0.0342556i	$-0.0109060\pi$
$938$	−19.1980	+	13.1115i	−0.626838	+	0.428105i
$939$	−19.1927	+	17.7608i	−0.626329	+	0.579603i
$940$	1.64136	−	5.09513i	0.0535354	−	0.166185i
$941$	−17.9995	−	31.1761i	−0.586768	−	1.01631i	−0.994653	−	0.103278i	$-0.967067\pi$
$941$	−17.9995	−	31.1761i	−0.586768	−	1.01631i	0.407885	−	0.913033i	$-0.366266\pi$
$942$	9.61428	+	28.1563i	0.313250	+	0.917380i
$943$	26.0002	−	45.0336i	0.846682	−	1.46650i
$944$	−10.1297	+	14.0908i	−0.329695	+	0.458616i
$945$	−34.7967	+	25.8449i	−1.13194	+	0.840736i
$946$	21.5965	−	15.7322i	0.702162	−	0.511499i
$947$	−12.5489	+	21.7353i	−0.407784	+	0.706303i	−0.994641	−	0.103388i	$-0.967032\pi$
$947$	−12.5489	+	21.7353i	−0.407784	+	0.706303i	0.586857	+	0.809691i	$0.300365\pi$
$948$	−28.9430	+	41.2200i	−0.940025	+	1.33876i
$949$	0.618282	−	0.356966i	0.0200703	−	0.0115876i
$950$	−16.6075	−	22.7979i	−0.538817	−	0.739662i
$951$	31.5697	−	29.2145i	1.02372	−	0.947345i
$952$	2.30308	−	9.57499i	0.0746434	−	0.310327i
$953$	15.8364			0.512990			0.256495	−	0.966546i	$-0.417432\pi$
$953$	15.8364			0.512990			0.256495	+	0.966546i	$0.417432\pi$
$954$	19.3085	−	11.8945i	0.625134	−	0.385099i
$955$	−6.24759	−	3.60705i	−0.202167	−	0.116721i
$956$	47.1673	+	15.1946i	1.52550	+	0.491430i
$957$	2.51416	+	11.0831i	0.0812713	+	0.358265i
$958$	5.07423	+	47.7015i	0.163941	+	1.54116i
$959$	18.3858	+	0.558678i	0.593708	+	0.0180406i
$960$	14.3767	+	41.2541i	0.464007	+	1.33147i
$961$	7.59775	−	13.1597i	0.245089	−	0.424506i
$962$	1.22919	−	0.130755i	0.0396306	−	0.00421570i
$963$	−2.93189	+	37.7771i	−0.0944787	+	1.21735i
$964$	0.365938	+	1.70058i	0.0117861	+	0.0547719i
$965$	−36.0377	−	62.4191i	−1.16009	−	2.00934i
$966$	6.14132	−	26.8415i	0.197594	−	0.863611i
$967$	−43.8994	−	25.3454i	−1.41171	−	0.815052i	−0.416161	−	0.909291i	$-0.636625\pi$
$967$	−43.8994	−	25.3454i	−1.41171	−	0.815052i	−0.995550	+	0.0942394i	$0.969958\pi$
$968$	−7.37887	−	22.4219i	−0.237166	−	0.720667i
$969$	−2.72386	+	8.78909i	−0.0875029	+	0.282346i
$970$	−45.8224	−	62.9028i	−1.47127	−	2.01969i
$971$	−12.7651	+	7.36992i	−0.409651	+	0.236512i	−0.690640	−	0.723199i	$-0.742671\pi$
$971$	−12.7651	+	7.36992i	−0.409651	+	0.236512i	0.280989	+	0.959711i	$0.409338\pi$
$972$	−29.9618	+	8.61935i	−0.961024	+	0.276466i
$973$	30.5755	+	18.9137i	0.980206	+	0.606345i
$974$	−18.1159	+	40.8270i	−0.580471	+	1.30818i
$975$	−0.465272	−	0.502781i	−0.0149006	−	0.0161019i
$976$	−2.10070	+	21.0016i	−0.0672417	+	0.672245i
$977$	15.7664	+	27.3082i	0.504412	+	0.873668i	0.999987	+	0.00510261i	$0.00162422\pi$
$977$	15.7664	+	27.3082i	0.504412	+	0.873668i	−0.495575	+	0.868565i	$0.665042\pi$
$978$	−11.6087	−	33.9970i	−0.371204	−	1.08710i
$979$	−8.21782	+	4.74456i	−0.262643	+	0.151637i
$980$	−43.6366	+	6.64853i	−1.39392	+	0.212379i
$981$	14.9448	+	31.2451i	0.477150	+	0.997580i
$982$	35.9992	+	15.9737i	1.14878	+	0.509741i
$983$	49.0065			1.56306			0.781532	−	0.623865i	$-0.214438\pi$
$983$	49.0065			1.56306			0.781532	+	0.623865i	$0.214438\pi$
$984$	−52.4393	−	29.0711i	−1.67170	−	0.926753i
$985$			31.5831i			1.00632i
$986$	−0.792827	−	7.45315i	−0.0252488	−	0.237357i
$987$	2.55427	+	2.93414i	0.0813032	+	0.0933948i
$988$	0.135963	+	0.631846i	0.00432557	+	0.0201017i
$989$	−42.6693	+	24.6351i	−1.35680	+	0.783351i
$990$	−10.3541	+	19.1768i	−0.329075	+	0.609479i
$991$	1.40027	+	0.808447i	0.0444811	+	0.0256812i	0.522076	−	0.852899i	$-0.325158\pi$
$991$	1.40027	+	0.808447i	0.0444811	+	0.0256812i	−0.477595	+	0.878580i	$0.658491\pi$
$992$	−11.1218	+	19.5461i	−0.353118	+	0.620589i
$993$	−0.902726	−	0.975501i	−0.0286471	−	0.0309566i
$994$	−18.6306	+	1.41115i	−0.590926	+	0.0447588i
$995$	−13.5329	+	23.4397i	−0.429023	+	0.743089i
$996$	3.95238	+	8.50494i	0.125236	+	0.269489i
$997$	44.0015			1.39354			0.696771	−	0.717294i	$-0.254619\pi$
$997$	44.0015			1.39354			0.696771	+	0.717294i	$0.254619\pi$
$998$	1.54662	+	14.5394i	0.0489575	+	0.460236i
$999$	20.9381	−	52.7310i	0.662454	−	1.66834i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cz.b.283.43	yes	180
7.5	odd	6		504.2.bf.b.355.20	yes	180
8.3	odd	2	inner	504.2.cz.b.283.78	yes	180
9.7	even	3		504.2.bf.b.115.20	yes	180
56.19	even	6		504.2.bf.b.355.19	yes	180
63.61	odd	6	inner	504.2.cz.b.187.78	yes	180
72.43	odd	6		504.2.bf.b.115.19	✓	180
504.187	even	6	inner	504.2.cz.b.187.43	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bf.b.115.19	✓	180	72.43	odd	6
504.2.bf.b.115.20	yes	180	9.7	even	3
504.2.bf.b.355.19	yes	180	56.19	even	6
504.2.bf.b.355.20	yes	180	7.5	odd	6
504.2.cz.b.187.43	yes	180	504.187	even	6	inner
504.2.cz.b.187.78	yes	180	63.61	odd	6	inner
504.2.cz.b.283.43	yes	180	1.1	even	1	trivial
504.2.cz.b.283.78	yes	180	8.3	odd	2	inner

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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.cz (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.149593 - 1.40628i) q^{2} +(0.512728 - 1.65442i) q^{3} +(-1.95524 + 0.420738i) q^{4} +3.15287 q^{5} +(-2.40328 - 0.473549i) q^{6} +(2.64453 + 0.0803577i) q^{7} +(0.884165 + 2.68668i) q^{8} +(-2.47422 - 1.69654i) q^{9} +O(q^{10})\)	\(q+(-0.149593 - 1.40628i) q^{2} +(0.512728 - 1.65442i) q^{3} +(-1.95524 + 0.420738i) q^{4} +3.15287 q^{5} +(-2.40328 - 0.473549i) q^{6} +(2.64453 + 0.0803577i) q^{7} +(0.884165 + 2.68668i) q^{8} +(-2.47422 - 1.69654i) q^{9} +(-0.471646 - 4.43382i) q^{10} +1.62924 q^{11} +(-0.306430 + 3.45052i) q^{12} +(0.0400258 - 0.0693267i) q^{13} +(-0.282597 - 3.73097i) q^{14} +(1.61656 - 5.21618i) q^{15} +(3.64596 - 1.64529i) q^{16} +(-1.13969 - 0.658003i) q^{17} +(-2.01568 + 3.73323i) q^{18} +(3.49599 - 2.01841i) q^{19} +(-6.16463 + 1.32653i) q^{20} +(1.48887 - 4.33397i) q^{21} +(-0.243722 - 2.29117i) q^{22} +4.24876i q^{23} +(4.89824 - 0.0852469i) q^{24} +4.94060 q^{25} +(-0.103480 - 0.0459167i) q^{26} +(-4.07539 + 3.22354i) q^{27} +(-5.20451 + 0.955536i) q^{28} +(-3.48772 + 2.01364i) q^{29} +(-7.57723 - 1.49304i) q^{30} +(-1.98774 - 3.44287i) q^{31} +(-2.85915 - 4.88111i) q^{32} +(0.835356 - 2.69545i) q^{33} +(-0.754846 + 1.70116i) q^{34} +(8.33787 + 0.253358i) q^{35} +(5.55150 + 2.27614i) q^{36} +(-9.45599 + 5.45942i) q^{37} +(-3.36143 - 4.61441i) q^{38} +(-0.0941733 - 0.101765i) q^{39} +(2.78766 + 8.47076i) q^{40} +(-10.5992 - 6.11948i) q^{41} +(-6.31749 - 1.44544i) q^{42} +(5.79819 + 10.0428i) q^{43} +(-3.18556 + 0.685483i) q^{44} +(-7.80090 - 5.34896i) q^{45} +(5.97494 - 0.635583i) q^{46} +(-0.424453 + 0.735174i) q^{47} +(-0.852621 - 6.87554i) q^{48} +(6.98709 + 0.425017i) q^{49} +(-0.739077 - 6.94786i) q^{50} +(-1.67297 + 1.54816i) q^{51} +(-0.0490918 + 0.152391i) q^{52} +(-4.62915 - 2.67264i) q^{53} +(5.14285 + 5.24891i) q^{54} +5.13678 q^{55} +(2.12231 + 7.17606i) q^{56} +(-1.54681 - 6.81875i) q^{57} +(3.35347 + 4.60348i) q^{58} +(-3.75725 + 2.16925i) q^{59} +(-0.966133 + 10.8791i) q^{60} +(-2.63830 + 4.56967i) q^{61} +(-4.54429 + 3.31035i) q^{62} +(-6.40682 - 4.68536i) q^{63} +(-6.43650 + 4.75094i) q^{64} +(0.126196 - 0.218578i) q^{65} +(-3.91552 - 0.771525i) q^{66} +(-3.10666 - 5.38090i) q^{67} +(2.50523 + 0.807043i) q^{68} +(7.02924 + 2.17846i) q^{69} +(-0.890992 - 11.7633i) q^{70} -4.99349i q^{71} +(2.37043 - 8.14746i) q^{72} +(7.72355 + 4.45919i) q^{73} +(9.09202 + 12.4811i) q^{74} +(2.53318 - 8.17383i) q^{75} +(-5.98630 + 5.41739i) q^{76} +(4.30857 + 0.130922i) q^{77} +(-0.129023 + 0.147657i) q^{78} +(12.5916 + 7.26978i) q^{79} +(11.4952 - 5.18739i) q^{80} +(3.24353 + 8.39521i) q^{81} +(-7.02012 + 15.8209i) q^{82} +(2.34461 - 1.35366i) q^{83} +(-1.08764 + 9.10039i) q^{84} +(-3.59331 - 2.07460i) q^{85} +(13.2556 - 9.65619i) q^{86} +(1.54315 + 6.80260i) q^{87} +(1.44052 + 4.37724i) q^{88} +(-5.04396 + 2.91213i) q^{89} +(-6.35517 + 11.7704i) q^{90} +(0.111420 - 0.180120i) q^{91} +(-1.78762 - 8.30736i) q^{92} +(-6.71513 + 1.52331i) q^{93} +(1.09736 + 0.486923i) q^{94} +(11.0224 - 6.36380i) q^{95} +(-9.54138 + 2.22755i) q^{96} +(15.1154 - 8.72685i) q^{97} +(-0.447524 - 9.88937i) q^{98} +(-4.03110 - 2.76406i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9}+O(q^{10}) \) 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9	\( 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9} + 16 q^{11} - 3 q^{12} + 7 q^{14} - 7 q^{16} - 18 q^{17} - 13 q^{18} - 6 q^{19} - 36 q^{20} - 16 q^{22} - 24 q^{24} + 156 q^{25} - 6 q^{26} + 16 q^{28} - 8 q^{30} + 13 q^{32} - 36 q^{33} + 12 q^{34} - 12 q^{35} + 2 q^{36} + 42 q^{41} + 31 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} + 9 q^{48} + 20 q^{49} + 15 q^{50} - 42 q^{51} - 12 q^{54} - 40 q^{56} - 26 q^{57} - 38 q^{58} + 18 q^{59} - 38 q^{60} - 8 q^{64} - 12 q^{65} - 21 q^{66} - 14 q^{67} - 42 q^{70} + 5 q^{72} + 18 q^{73} - 98 q^{74} - 48 q^{75} + 12 q^{76} - 33 q^{78} - 63 q^{80} + 8 q^{81} - 54 q^{82} - 6 q^{83} - 77 q^{84} + 26 q^{86} - 58 q^{88} - 66 q^{89} + 51 q^{90} + 2 q^{91} - 60 q^{92} + 9 q^{94} - 30 q^{96} + 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) \) 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9 + 16 * q^11 - 3 * q^12 + 7 * q^14 - 7 * q^16 - 18 * q^17 - 13 * q^18 - 6 * q^19 - 36 * q^20 - 16 * q^22 - 24 * q^24 + 156 * q^25 - 6 * q^26 + 16 * q^28 - 8 * q^30 + 13 * q^32 - 36 * q^33 + 12 * q^34 - 12 * q^35 + 2 * q^36 + 42 * q^41 + 31 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 + 9 * q^48 + 20 * q^49 + 15 * q^50 - 42 * q^51 - 12 * q^54 - 40 * q^56 - 26 * q^57 - 38 * q^58 + 18 * q^59 - 38 * q^60 - 8 * q^64 - 12 * q^65 - 21 * q^66 - 14 * q^67 - 42 * q^70 + 5 * q^72 + 18 * q^73 - 98 * q^74 - 48 * q^75 + 12 * q^76 - 33 * q^78 - 63 * q^80 + 8 * q^81 - 54 * q^82 - 6 * q^83 - 77 * q^84 + 26 * q^86 - 58 * q^88 - 66 * q^89 + 51 * q^90 + 2 * q^91 - 60 * q^92 + 9 * q^94 - 30 * q^96 + 6 * q^97 + 31 * q^98 + 4 * q^99

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