LMFDB - Embedded newform 95.2.r.a.32.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(2,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([9, 2]))

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

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

chi := DirichletCharacter("95.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.r (of order $36$, degree $12$, 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:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			32.1
Character	$\chi$	$=$	95.32
Dual form			95.2.r.a.3.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.230116 + 2.63024i) q^{2} +(0.901235 + 1.93270i) q^{3} +(-4.89558 - 0.863222i) q^{4} +(1.62989 - 1.53084i) q^{5} +(-5.29086 + 1.92571i) q^{6} +(1.39789 - 0.374564i) q^{7} +(2.03032 - 7.57725i) q^{8} +(-0.994759 + 1.18551i) q^{9} +O(q^{10})$	\(q+(-0.230116 + 2.63024i) q^{2} +(0.901235 + 1.93270i) q^{3} +(-4.89558 - 0.863222i) q^{4} +(1.62989 - 1.53084i) q^{5} +(-5.29086 + 1.92571i) q^{6} +(1.39789 - 0.374564i) q^{7} +(2.03032 - 7.57725i) q^{8} +(-0.994759 + 1.18551i) q^{9} +(3.65140 + 4.63926i) q^{10} +(-1.68860 - 2.92474i) q^{11} +(-2.74371 - 10.2397i) q^{12} +(0.684981 + 0.319412i) q^{13} +(0.663514 + 3.76298i) q^{14} +(4.42757 + 1.77045i) q^{15} +(10.1201 + 3.68343i) q^{16} +(-6.75209 - 0.590731i) q^{17} +(-2.88925 - 2.88925i) q^{18} +(-2.24171 + 3.73828i) q^{19} +(-9.30070 + 6.08737i) q^{20} +(1.98375 + 2.36414i) q^{21} +(8.08133 - 3.76839i) q^{22} +(2.57360 + 3.67548i) q^{23} +(16.4744 - 2.90488i) q^{24} +(0.313075 - 4.99019i) q^{25} +(-0.997754 + 1.72816i) q^{26} +(2.99177 + 0.801643i) q^{27} +(-7.16681 + 0.627015i) q^{28} +(-3.58414 - 3.00745i) q^{29} +(-5.67555 + 11.2381i) q^{30} +(1.72187 + 0.994122i) q^{31} +(-5.38660 + 11.5516i) q^{32} +(4.13083 - 5.89944i) q^{33} +(3.10753 - 17.6237i) q^{34} +(1.70501 - 2.75044i) q^{35} +(5.89327 - 4.94504i) q^{36} +(0.734749 - 0.734749i) q^{37} +(-9.31671 - 6.75646i) q^{38} +1.61173i q^{39} +(-8.29034 - 15.4582i) q^{40} +(1.16605 - 3.20371i) q^{41} +(-6.67474 + 4.67370i) q^{42} +(3.97517 + 2.78344i) q^{43} +(5.74197 + 15.7759i) q^{44} +(0.193472 + 3.45506i) q^{45} +(-10.2596 + 5.92339i) q^{46} +(-0.167214 - 1.91127i) q^{47} +(2.00164 + 22.8789i) q^{48} +(-4.24838 + 2.45280i) q^{49} +(13.0533 + 1.97178i) q^{50} +(-4.94351 - 13.5822i) q^{51} +(-3.07765 - 2.15500i) q^{52} +(-5.79760 + 4.05952i) q^{53} +(-2.79697 + 7.68460i) q^{54} +(-7.22953 - 2.18203i) q^{55} -11.3526i q^{56} +(-9.24530 - 0.963486i) q^{57} +(8.73507 - 8.73507i) q^{58} +(-2.22918 + 1.87050i) q^{59} +(-20.1472 - 12.4893i) q^{60} +(0.606854 - 3.44164i) q^{61} +(-3.01101 + 4.30016i) q^{62} +(-0.946516 + 2.02981i) q^{63} +(-10.4904 - 6.05662i) q^{64} +(1.60541 - 0.527988i) q^{65} +(14.5664 + 12.2226i) q^{66} +(9.29307 - 0.813038i) q^{67} +(32.5454 + 8.72052i) q^{68} +(-4.78420 + 8.28647i) q^{69} +(6.84196 + 5.11750i) q^{70} +(-5.95949 + 1.05082i) q^{71} +(6.96321 + 9.94449i) q^{72} +(3.49860 - 1.63142i) q^{73} +(1.76349 + 2.10164i) q^{74} +(9.92671 - 3.89225i) q^{75} +(14.2014 - 16.3660i) q^{76} +(-3.45598 - 3.45598i) q^{77} +(-4.23923 - 0.370885i) q^{78} +(1.57829 + 0.574450i) q^{79} +(22.1334 - 9.48871i) q^{80} +(1.95315 + 11.0769i) q^{81} +(8.15818 + 3.80422i) q^{82} +(-2.44090 - 9.10957i) q^{83} +(-7.67081 - 13.2862i) q^{84} +(-11.9095 + 9.37352i) q^{85} +(-8.23587 + 9.81513i) q^{86} +(2.58236 - 9.63749i) q^{87} +(-25.5899 + 6.85679i) q^{88} +(11.5392 - 4.19992i) q^{89} +(-9.13214 - 0.286186i) q^{90} +(1.07717 + 0.189934i) q^{91} +(-9.42649 - 20.2152i) q^{92} +(-0.369535 + 4.22380i) q^{93} +5.06557 q^{94} +(2.06897 + 9.52467i) q^{95} -27.1804 q^{96} +(-1.43923 + 16.4505i) q^{97} +(-5.47383 - 11.7387i) q^{98} +(5.14705 + 0.907563i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8}+O(q^{10}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26} - 18 q^{27} - 6 q^{30} - 36 q^{31} + 18 q^{32} + 90 q^{33} - 30 q^{35} + 24 q^{36} + 54 q^{38} + 54 q^{40} + 12 q^{41} + 24 q^{42} + 48 q^{43} + 12 q^{45} - 36 q^{46} - 24 q^{47} + 60 q^{48} + 126 q^{50} - 96 q^{51} - 30 q^{53} + 18 q^{55} - 66 q^{57} + 120 q^{58} + 84 q^{60} - 48 q^{61} + 60 q^{62} - 126 q^{63} + 72 q^{65} + 72 q^{66} + 108 q^{67} + 18 q^{68} + 36 q^{70} - 24 q^{71} + 48 q^{72} + 6 q^{73} + 60 q^{76} + 168 q^{77} - 138 q^{78} - 60 q^{80} - 120 q^{81} + 60 q^{82} - 36 q^{85} - 180 q^{86} - 6 q^{87} - 198 q^{88} - 270 q^{90} - 24 q^{91} - 72 q^{92} - 90 q^{93} - 24 q^{95} - 192 q^{96} - 72 q^{97} - 90 q^{98}+O(q^{100}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−0.230116	+	2.63024i	−0.162717	+	1.85986i	0.275903	+	0.961185i	$0.411023\pi$
$2$	−0.230116	+	2.63024i	−0.162717	+	1.85986i	−0.438620	+	0.898673i	$0.644532\pi$
$3$	0.901235	+	1.93270i	0.520328	+	1.11585i	0.974387	+	0.224876i	$0.0721976\pi$
$3$	0.901235	+	1.93270i	0.520328	+	1.11585i	−0.454059	+	0.890971i	$0.650025\pi$
$4$	−4.89558	−	0.863222i	−2.44779	−	0.431611i
$5$	1.62989	−	1.53084i	0.728908	−	0.684611i
$5$	1.62989	−	1.53084i	0.728908	−	0.684611i
$6$	−5.29086	+	1.92571i	−2.15998	+	0.786170i
$7$	1.39789	−	0.374564i	0.528353	−	0.141572i	0.0152253	−	0.999884i	$-0.495153\pi$
$7$	1.39789	−	0.374564i	0.528353	−	0.141572i	0.513128	+	0.858312i	$0.328487\pi$
$8$	2.03032	−	7.57725i	0.717826	−	2.67896i
$9$	−0.994759	+	1.18551i	−0.331586	+	0.395169i
$10$	3.65140	+	4.63926i	1.15467	+	1.46706i
$11$	−1.68860	−	2.92474i	−0.509132	−	0.881842i	−0.999944	−	0.0105768i	$-0.996633\pi$
$11$	−1.68860	−	2.92474i	−0.509132	−	0.881842i	0.490812	−	0.871265i	$-0.336700\pi$
$12$	−2.74371	−	10.2397i	−0.792041	−	2.95594i
$13$	0.684981	+	0.319412i	0.189979	+	0.0885889i	0.515280	−	0.857022i	$-0.327688\pi$
$13$	0.684981	+	0.319412i	0.189979	+	0.0885889i	−0.325301	+	0.945611i	$0.605466\pi$
$14$	0.663514	+	3.76298i	0.177332	+	1.00570i
$15$	4.42757	+	1.77045i	1.14319	+	0.457128i
$16$	10.1201	+	3.68343i	2.53004	+	0.920858i
$17$	−6.75209	−	0.590731i	−1.63762	−	0.143273i	−0.769169	−	0.639045i	$-0.779330\pi$
$17$	−6.75209	−	0.590731i	−1.63762	−	0.143273i	−0.868453	+	0.495772i	$0.834885\pi$
$18$	−2.88925	−	2.88925i	−0.681004	−	0.681004i
$19$	−2.24171	+	3.73828i	−0.514283	+	0.857621i
$19$	−2.24171	+	3.73828i	−0.514283	+	0.857621i
$20$	−9.30070	+	6.08737i	−2.07970	+	1.36118i
$21$	1.98375	+	2.36414i	0.432889	+	0.515897i
$22$	8.08133	−	3.76839i	1.72295	−	0.803423i
$23$	2.57360	+	3.67548i	0.536632	+	0.766390i	0.992313	−	0.123753i	$-0.0394931\pi$
$23$	2.57360	+	3.67548i	0.536632	+	0.766390i	−0.455681	+	0.890143i	$0.650604\pi$
$24$	16.4744	−	2.90488i	3.36282	−	0.592955i
$25$	0.313075	−	4.99019i	0.0626150	−	0.998038i
$26$	−0.997754	+	1.72816i	−0.195676	+	0.338920i
$27$	2.99177	+	0.801643i	0.575767	+	0.154276i
$28$	−7.16681	+	0.627015i	−1.35440	+	0.118495i
$29$	−3.58414	−	3.00745i	−0.665558	−	0.558469i	0.246189	−	0.969222i	$-0.420822\pi$
$29$	−3.58414	−	3.00745i	−0.665558	−	0.558469i	−0.911747	+	0.410753i	$0.865266\pi$
$30$	−5.67555	+	11.2381i	−1.03621	+	2.05179i
$31$	1.72187	+	0.994122i	0.309257	+	0.178550i	0.646594	−	0.762834i	$-0.276193\pi$
$31$	1.72187	+	0.994122i	0.309257	+	0.178550i	−0.337337	+	0.941384i	$0.609526\pi$
$32$	−5.38660	+	11.5516i	−0.952226	+	2.04206i
$33$	4.13083	−	5.89944i	0.719086	−	1.02696i
$34$	3.10753	−	17.6237i	0.532936	−	3.02243i
$35$	1.70501	−	2.75044i	0.288199	−	0.464909i
$36$	5.89327	−	4.94504i	0.982212	−	0.824174i
$37$	0.734749	−	0.734749i	0.120792	−	0.120792i	−0.644127	−	0.764919i	$-0.722779\pi$
$37$	0.734749	−	0.734749i	0.120792	−	0.120792i	0.764919	+	0.644127i	$0.222779\pi$
$38$	−9.31671	−	6.75646i	−1.51137	−	1.09604i
$39$			1.61173i			0.258083i
$40$	−8.29034	−	15.4582i	−1.31082	−	2.44415i
$41$	1.16605	−	3.20371i	0.182107	−	0.500335i	−0.814727	−	0.579845i	$-0.803113\pi$
$41$	1.16605	−	3.20371i	0.182107	−	0.500335i	0.996834	+	0.0795098i	$0.0253355\pi$
$42$	−6.67474	+	4.67370i	−1.02993	+	0.721168i
$43$	3.97517	+	2.78344i	0.606208	+	0.424471i	0.835970	−	0.548776i	$-0.184906\pi$
$43$	3.97517	+	2.78344i	0.606208	+	0.424471i	−0.229762	+	0.973247i	$0.573795\pi$
$44$	5.74197	+	15.7759i	0.865634	+	2.37831i
$45$	0.193472	+	3.45506i	0.0288412	+	0.515050i
$46$	−10.2596	+	5.92339i	−1.51270	+	0.873355i
$47$	−0.167214	−	1.91127i	−0.0243907	−	0.278787i	−0.998589	−	0.0530954i	$-0.983091\pi$
$47$	−0.167214	−	1.91127i	−0.0243907	−	0.278787i	0.974199	−	0.225692i	$-0.0724643\pi$
$48$	2.00164	+	22.8789i	0.288912	+	3.30228i
$49$	−4.24838	+	2.45280i	−0.606911	+	0.350400i
$50$	13.0533	+	1.97178i	1.84602	+	0.278852i
$51$	−4.94351	−	13.5822i	−0.692229	−	1.90188i
$52$	−3.07765	−	2.15500i	−0.426794	−	0.298844i
$53$	−5.79760	+	4.05952i	−0.796361	+	0.557618i	−0.899434	−	0.437056i	$-0.856021\pi$
$53$	−5.79760	+	4.05952i	−0.796361	+	0.557618i	0.103073	+	0.994674i	$0.467132\pi$
$54$	−2.79697	+	7.68460i	−0.380619	+	1.04574i
$55$	−7.22953	−	2.18203i	−0.974830	−	0.294225i
$56$		−	11.3526i		−	1.51706i
$57$	−9.24530	−	0.963486i	−1.22457	−	0.127617i
$58$	8.73507	−	8.73507i	1.14697	−	1.14697i
$59$	−2.22918	+	1.87050i	−0.290214	+	0.243519i	−0.776257	−	0.630416i	$-0.782884\pi$
$59$	−2.22918	+	1.87050i	−0.290214	+	0.243519i	0.486043	+	0.873935i	$0.338440\pi$
$60$	−20.1472	−	12.4893i	−2.60099	−	1.61237i
$61$	0.606854	−	3.44164i	0.0776996	−	0.440657i	−0.920995	−	0.389575i	$-0.872622\pi$
$61$	0.606854	−	3.44164i	0.0776996	−	0.440657i	0.998694	−	0.0510817i	$-0.0162669\pi$
$62$	−3.01101	+	4.30016i	−0.382398	+	0.546121i
$63$	−0.946516	+	2.02981i	−0.119250	+	0.255732i
$64$	−10.4904	−	6.05662i	−1.31130	−	0.757078i
$65$	1.60541	−	0.527988i	0.199127	−	0.0654889i
$66$	14.5664	+	12.2226i	1.79299	+	1.50450i
$67$	9.29307	−	0.813038i	1.13533	−	0.0993284i	0.496043	−	0.868298i	$-0.334786\pi$
$67$	9.29307	−	0.813038i	1.13533	−	0.0993284i	0.639286	+	0.768969i	$0.279230\pi$
$68$	32.5454	+	8.72052i	3.94671	+	1.05752i
$69$	−4.78420	+	8.28647i	−0.575950	+	0.997574i
$70$	6.84196	+	5.11750i	0.817770	+	0.611658i
$71$	−5.95949	+	1.05082i	−0.707262	+	0.124709i	−0.515698	−	0.856771i	$-0.672467\pi$
$71$	−5.95949	+	1.05082i	−0.707262	+	0.124709i	−0.191564	+	0.981480i	$0.561356\pi$
$72$	6.96321	+	9.94449i	0.820622	+	1.17197i
$73$	3.49860	−	1.63142i	0.409480	−	0.190944i	−0.206953	−	0.978351i	$-0.566355\pi$
$73$	3.49860	−	1.63142i	0.409480	−	0.190944i	0.616433	+	0.787407i	$0.288577\pi$
$74$	1.76349	+	2.10164i	0.205001	+	0.244311i
$75$	9.92671	−	3.89225i	1.14624	−	0.449438i
$76$	14.2014	−	16.3660i	1.62901	−	1.87730i
$77$	−3.45598	−	3.45598i	−0.393845	−	0.393845i
$78$	−4.23923	−	0.370885i	−0.479998	−	0.0419944i
$79$	1.57829	+	0.574450i	0.177571	+	0.0646306i	0.429276	−	0.903173i	$-0.358769\pi$
$79$	1.57829	+	0.574450i	0.177571	+	0.0646306i	−0.251704	+	0.967804i	$0.580991\pi$
$80$	22.1334	−	9.48871i	2.47459	−	1.06087i
$81$	1.95315	+	11.0769i	0.217017	+	1.23076i
$82$	8.15818	+	3.80422i	0.900920	+	0.420106i
$83$	−2.44090	−	9.10957i	−0.267924	−	0.999905i	−0.960436	−	0.278499i	$-0.910163\pi$
$83$	−2.44090	−	9.10957i	−0.267924	−	0.999905i	0.692513	−	0.721406i	$-0.256504\pi$
$84$	−7.67081	−	13.2862i	−0.836954	−	1.44965i
$85$	−11.9095	+	9.37352i	−1.29176	+	1.01670i
$86$	−8.23587	+	9.81513i	−0.888096	+	1.05839i
$87$	2.58236	−	9.63749i	0.276858	−	1.03325i
$88$	−25.5899	+	6.85679i	−2.72789	+	0.730936i
$89$	11.5392	−	4.19992i	1.22315	−	0.445190i	0.351904	−	0.936036i	$-0.385534\pi$
$89$	11.5392	−	4.19992i	1.22315	−	0.445190i	0.871246	+	0.490846i	$0.163312\pi$
$90$	−9.13214	−	0.286186i	−0.962612	−	0.0301666i
$91$	1.07717	+	0.189934i	0.112918	+	0.0199105i
$92$	−9.42649	−	20.2152i	−0.982780	−	2.10758i
$93$	−0.369535	+	4.22380i	−0.0383190	+	0.437988i
$94$	5.06557			0.522474
$95$	2.06897	+	9.52467i	0.212272	+	0.977211i
$96$	−27.1804			−2.77409
$97$	−1.43923	+	16.4505i	−0.146132	+	1.67029i	0.470011	+	0.882660i	$0.344250\pi$
$97$	−1.43923	+	16.4505i	−0.146132	+	1.67029i	−0.616143	+	0.787634i	$0.711306\pi$
$98$	−5.47383	−	11.7387i	−0.552940	−	1.18578i
$99$	5.14705	+	0.907563i	0.517298	+	0.0912136i
$100$	−5.84033	+	24.1596i	−0.584033	+	2.41596i
$101$	−13.2821	+	4.83427i	−1.32161	+	0.481028i	−0.903975	−	0.427585i	$-0.859365\pi$
$101$	−13.2821	+	4.83427i	−1.32161	+	0.481028i	−0.417639	+	0.908613i	$0.637142\pi$
$102$	36.8619	−	9.87712i	3.64987	−	0.977981i
$103$	−2.96069	+	11.0494i	−0.291725	+	1.08873i	0.652058	+	0.758169i	$0.273906\pi$
$103$	−2.96069	+	11.0494i	−0.291725	+	1.08873i	−0.943783	+	0.330565i	$0.892761\pi$
$104$	3.81099	−	4.54176i	0.373698	−	0.445356i
$105$	6.85240	+	0.816488i	0.668726	+	0.0796811i
$106$	−9.34338	−	16.1832i	−0.907509	−	1.57185i
$107$	−0.561916	−	2.09710i	−0.0543224	−	0.202734i	0.933431	−	0.358757i	$-0.116799\pi$
$107$	−0.561916	−	2.09710i	−0.0543224	−	0.202734i	−0.987753	+	0.156023i	$0.950133\pi$
$108$	−13.9545	−	6.50707i	−1.34277	−	0.626143i
$109$	−0.813995	−	4.61639i	−0.0779666	−	0.442170i	−0.998654	−	0.0518694i	$-0.983482\pi$
$109$	−0.813995	−	4.61639i	−0.0779666	−	0.442170i	0.920687	−	0.390301i	$-0.127629\pi$
$110$	7.40289	−	18.5133i	0.705837	−	1.76517i
$111$	2.08223	+	0.757871i	0.197637	+	0.0719340i
$112$	15.5265	+	1.35840i	1.46712	+	0.128356i
$113$	−0.468672	−	0.468672i	−0.0440890	−	0.0440890i	0.684719	−	0.728808i	$-0.259925\pi$
$113$	−0.468672	−	0.468672i	−0.0440890	−	0.0440890i	−0.728808	+	0.684719i	$0.759925\pi$
$114$	4.66169	−	24.0956i	0.436607	−	2.25676i
$115$	9.82124	+	2.05086i	0.915835	+	0.191244i
$116$	14.9503	+	17.8171i	1.38810	+	1.65428i
$117$	−1.06006	+	0.494312i	−0.0980021	+	0.0456992i
$118$	−4.40689	−	6.29370i	−0.405688	−	0.579382i
$119$	−9.65994	+	1.70331i	−0.885526	+	0.156142i
$120$	22.4045	−	29.9542i	2.04524	−	2.73443i
$121$	−0.202735	+	0.351147i	−0.0184305	+	0.0319225i
$122$	8.91267	+	2.38814i	0.806916	+	0.216212i
$123$	7.24270	−	0.633654i	0.653053	−	0.0571347i
$124$	−7.57140	−	6.35316i	−0.679932	−	0.570531i
$125$	−7.12889	−	8.61272i	−0.637627	−	0.770345i
$126$	−5.12107	−	2.95665i	−0.456221	−	0.263399i
$127$	−4.82408	+	10.3453i	−0.428068	+	0.917995i	0.567448	+	0.823409i	$0.307931\pi$
$127$	−4.82408	+	10.3453i	−0.428068	+	0.917995i	−0.995517	+	0.0945864i	$0.969847\pi$
$128$	3.72298	−	5.31697i	0.329068	−	0.469958i
$129$	−1.79701	+	10.1914i	−0.158218	+	0.897300i
$130$	1.01930	+	4.34411i	0.0893989	+	0.381003i
$131$	−2.23191	+	1.87280i	−0.195003	+	0.163627i	−0.735061	−	0.678001i	$-0.762847\pi$
$131$	−2.23191	+	1.87280i	−0.195003	+	0.163627i	0.540058	+	0.841628i	$0.318402\pi$
$132$	−25.3153	+	25.3153i	−2.20342	+	2.20342i
$133$	−1.73344	+	6.06537i	−0.150308	+	0.525934i
$134$			24.6301i			2.12771i
$135$	6.10344	−	3.27333i	0.525301	−	0.281723i
$136$	−18.1850	+	49.9629i	−1.55935	+	4.28428i
$137$	9.13141	−	6.39388i	0.780149	−	0.546266i	−0.114295	−	0.993447i	$-0.536461\pi$
$137$	9.13141	−	6.39388i	0.780149	−	0.546266i	0.894444	+	0.447181i	$0.147572\pi$
$138$	−20.6945	−	14.4904i	−1.76163	−	1.23351i
$139$	−2.70352	−	7.42785i	−0.229309	−	0.630022i	0.770665	−	0.637241i	$-0.219924\pi$
$139$	−2.70352	−	7.42785i	−0.229309	−	0.630022i	−0.999974	+	0.00721875i	$0.997702\pi$
$140$	−10.7212	+	11.9932i	−0.906111	+	1.01361i
$141$	3.54322	−	2.04568i	0.298393	−	0.172277i
$142$	−1.39253	−	15.9167i	−0.116859	−	1.33570i
$143$	−0.222462	−	2.54275i	−0.0186032	−	0.212635i
$144$	−14.4338	+	8.33338i	−1.20282	+	0.694448i
$145$	−10.4457	+	0.584924i	−0.867465	+	0.0485753i
$146$	3.48595	+	9.57757i	0.288499	+	0.792645i
$147$	−8.56933	−	6.00031i	−0.706786	−	0.494897i
$148$	−4.23127	+	2.96277i	−0.347809	+	0.243538i
$149$	2.80035	−	7.69390i	0.229414	−	0.630309i	−0.770561	−	0.637366i	$-0.780024\pi$
$149$	2.80035	−	7.69390i	0.229414	−	0.630309i	0.999975	+	0.00705691i	$0.00224630\pi$
$150$	7.95324	+	27.0053i	0.649380	+	2.20497i
$151$		−	0.0507801i		−	0.00413243i	−0.999998	−	0.00206621i	$-0.999342\pi$
$151$		−	0.0507801i		−	0.00413243i	0.999998	−	0.00206621i	$-0.000657696\pi$
$152$	23.7745	+	24.5759i	1.92837	+	1.99337i
$153$	7.41701	−	7.41701i	0.599630	−	0.599630i
$154$	9.88532	−	8.29477i	0.796581	−	0.668411i
$155$	4.32830	−	1.01559i	0.347657	−	0.0815745i
$156$	1.39128	−	7.89035i	0.111392	−	0.631733i
$157$	−0.703002	+	1.00399i	−0.0561056	+	0.0801271i	−0.846225	−	0.532826i	$-0.821130\pi$
$157$	−0.703002	+	1.00399i	−0.0561056	+	0.0801271i	0.790119	+	0.612954i	$0.210019\pi$
$158$	−1.87413	+	4.01908i	−0.149098	+	0.319741i
$159$	−13.0708	−	7.54646i	−1.03659	−	0.598473i
$160$	8.90407	+	27.0738i	0.703928	+	2.14038i
$161$	4.97431	+	4.17394i	0.392030	+	0.328953i
$162$	−29.5842	+	2.58828i	−2.32436	+	0.203355i
$163$	7.85262	+	2.10410i	0.615064	+	0.164806i	0.552883	−	0.833259i	$-0.313528\pi$
$163$	7.85262	+	2.10410i	0.615064	+	0.164806i	0.0621813	+	0.998065i	$0.480194\pi$
$164$	−8.47402	+	14.6774i	−0.661709	+	1.14611i
$165$	−2.29828	−	15.9391i	−0.178921	−	1.24085i
$166$	24.5220	−	4.32389i	1.90328	−	0.335599i
$167$	10.7539	+	15.3582i	0.832163	+	1.18845i	0.979913	+	0.199427i	$0.0639082\pi$
$167$	10.7539	+	15.3582i	0.832163	+	1.18845i	−0.147749	+	0.989025i	$0.547203\pi$
$168$	21.9413	−	10.2314i	1.69281	−	0.789370i
$169$	−7.98906	−	9.52100i	−0.614543	−	0.732384i
$170$	−21.9140	−	33.4817i	−1.68073	−	2.56793i
$171$	−2.20180	−	6.37625i	−0.168376	−	0.487604i
$172$	−17.0580	−	17.0580i	−1.30066	−	1.30066i
$173$	8.98525	+	0.786107i	0.683136	+	0.0597666i	0.423440	−	0.905924i	$-0.360822\pi$
$173$	8.98525	+	0.786107i	0.683136	+	0.0597666i	0.259695	+	0.965691i	$0.416378\pi$
$174$	24.7546	+	9.00996i	1.87665	+	0.683043i
$175$	−1.43150	−	7.09300i	−0.108211	−	0.536181i
$176$	−6.31579	−	35.8186i	−0.476070	−	2.69993i
$177$	−5.62414	−	2.62258i	−0.422736	−	0.197125i
$178$	8.39143	+	31.3172i	0.628964	+	2.34733i
$179$	−7.59469	−	13.1544i	−0.567654	−	0.983205i	−0.996797	−	0.0799691i	$-0.974518\pi$
$179$	−7.59469	−	13.1544i	−0.567654	−	0.983205i	0.429143	−	0.903236i	$-0.358815\pi$
$180$	2.03532	−	17.0815i	0.151704	−	1.27318i
$181$	8.32875	−	9.92582i	0.619071	−	0.737780i	−0.361839	−	0.932241i	$-0.617851\pi$
$181$	8.32875	−	9.92582i	0.619071	−	0.737780i	0.980910	+	0.194460i	$0.0622955\pi$
$182$	−0.747444	+	2.78950i	−0.0554043	+	0.206772i
$183$	7.19858	−	1.92885i	0.532135	−	0.142585i
$184$	33.0752	−	12.0384i	2.43834	−	0.887483i
$185$	0.0727782	−	2.32234i	0.00535076	−	0.170742i
$186$	−11.0246	−	1.94393i	−0.808361	−	0.142536i
$187$	9.67383	+	20.7456i	0.707421	+	1.51707i
$188$	−0.831240	+	9.50111i	−0.0606244	+	0.692940i
$189$	4.48244			0.326049
$190$	−25.5282	+	3.25010i	−1.85201	+	0.235787i
$191$	15.4992			1.12148			0.560742	−	0.827991i	$-0.310516\pi$
$191$	15.4992			1.12148			0.560742	+	0.827991i	$0.310516\pi$
$192$	2.25137	−	25.7332i	0.162478	−	1.85714i
$193$	−4.68222	−	10.0411i	−0.337034	−	0.722771i	0.662623	−	0.748953i	$-0.269443\pi$
$193$	−4.68222	−	10.0411i	−0.337034	−	0.722771i	−0.999657	+	0.0261815i	$0.991665\pi$
$194$	−42.9375	−	7.57104i	−3.08273	−	0.543569i
$195$	2.46730	+	2.62694i	0.176687	+	0.188119i
$196$	22.9156	−	8.34059i	1.63683	−	0.595756i
$197$	−23.0503	+	6.17631i	−1.64227	+	0.440044i	−0.957433	−	0.288657i	$-0.906791\pi$
$197$	−23.0503	+	6.17631i	−1.64227	+	0.440044i	−0.684832	+	0.728701i	$0.740125\pi$
$198$	−3.57152	+	13.3291i	−0.253817	+	0.947259i
$199$	12.0058	−	14.3080i	0.851072	−	1.01427i	−0.148606	−	0.988896i	$-0.547479\pi$
$199$	12.0058	−	14.3080i	0.851072	−	1.01427i	0.999678	−	0.0253717i	$-0.00807693\pi$
$200$	−37.1763	−	12.5039i	−2.62876	−	0.884161i
$201$	9.94660	+	17.2280i	0.701579	+	1.21517i
$202$	−9.65887	−	36.0474i	−0.679596	−	2.53629i
$203$	−6.13671	−	2.86160i	−0.430713	−	0.200845i
$204$	12.4769	+	70.7599i	0.873557	+	4.95419i
$205$	−3.00381	−	7.00672i	−0.209795	−	0.489371i
$206$	−28.3814	−	10.3300i	−1.97742	−	0.719723i
$207$	−6.91741	−	0.605195i	−0.480793	−	0.0420640i
$208$	5.75557	+	5.75557i	0.399077	+	0.399077i
$209$	14.7188	+	0.243947i	1.01812	+	0.0168742i
$210$	−3.72440	+	17.8356i	−0.257008	+	1.23077i
$211$	−12.1410	−	14.4691i	−0.835820	−	0.996091i	−0.999953	−	0.00965325i	$-0.996927\pi$
$211$	−12.1410	−	14.4691i	−0.835820	−	0.996091i	0.164133	−	0.986438i	$-0.447517\pi$
$212$	31.8869	−	14.8691i	2.19000	−	1.02121i
$213$	−7.40183	−	10.5709i	−0.507165	−	0.724306i
$214$	5.64517	−	0.995396i	0.385896	−	0.0680439i
$215$	10.7401	−	1.54863i	0.732468	−	0.105616i
$216$	12.1485	−	21.0418i	0.826601	−	1.43171i
$217$	2.77935	+	0.744724i	0.188674	+	0.0505552i
$218$	12.3295	−	1.07869i	0.835061	−	0.0730583i
$219$	6.30612	+	5.29146i	0.426128	+	0.357564i
$220$	33.5091	+	16.9230i	2.25919	+	1.14095i
$221$	−4.43636	−	2.56134i	−0.298422	−	0.172294i
$222$	−2.47254	+	5.30237i	−0.165946	+	0.355872i
$223$	−10.3581	+	14.7929i	−0.693629	+	0.990605i	0.305631	+	0.952150i	$0.401133\pi$
$223$	−10.3581	+	14.7929i	−0.693629	+	0.990605i	−0.999260	+	0.0384554i	$0.987756\pi$
$224$	−3.20307	+	18.1655i	−0.214014	+	1.21373i
$225$	5.60447	+	5.33519i	0.373631	+	0.355679i
$226$	1.34057	−	1.12487i	0.0891733	−	0.0748253i
$227$	4.45138	−	4.45138i	0.295449	−	0.295449i	−0.543779	−	0.839228i	$-0.683007\pi$
$227$	4.45138	−	4.45138i	0.295449	−	0.295449i	0.839228	+	0.543779i	$0.183007\pi$
$228$	44.4294	+	12.6976i	2.94241	+	0.840917i
$229$			12.3874i			0.818581i	0.912404	+	0.409290i	$0.134224\pi$
$229$			12.3874i			0.818581i	−0.912404	+	0.409290i	$0.865776\pi$
$230$	−7.65428	+	25.3602i	−0.504708	+	1.67220i
$231$	3.56474	−	9.79403i	0.234542	−	0.644400i
$232$	−30.0651	+	21.0518i	−1.97387	+	1.38212i
$233$	2.47441	+	1.73260i	0.162104	+	0.113506i	0.651814	−	0.758379i	$-0.274008\pi$
$233$	2.47441	+	1.73260i	0.162104	+	0.113506i	−0.489710	+	0.871885i	$0.662897\pi$
$234$	−1.05622	−	2.90195i	−0.0690474	−	0.189706i
$235$	−3.19838	−	2.85918i	−0.208640	−	0.186512i
$236$	12.5278	−	7.23291i	0.815488	−	0.470822i
$237$	0.312166	+	3.56808i	0.0202774	+	0.231772i
$238$	−2.25720	−	25.7999i	−0.146312	−	1.67236i
$239$	4.13417	−	2.38686i	0.267417	−	0.154393i	−0.360296	−	0.932838i	$-0.617324\pi$
$239$	4.13417	−	2.38686i	0.267417	−	0.154393i	0.627713	+	0.778445i	$0.283991\pi$
$240$	38.2863	+	34.2258i	2.47137	+	2.20927i
$241$	−0.156313	−	0.429467i	−0.0100690	−	0.0276644i	0.934556	−	0.355815i	$-0.115797\pi$
$241$	−0.156313	−	0.429467i	−0.0100690	−	0.0276644i	−0.944625	+	0.328151i	$0.893575\pi$
$242$	−0.876948	−	0.614046i	−0.0563724	−	0.0394724i
$243$	−12.0365	+	8.42807i	−0.772144	+	0.540661i
$244$	−5.94180	+	16.3250i	−0.380385	+	1.04510i
$245$	−3.16954	+	10.5014i	−0.202495	+	0.670908i
$246$			19.1958i			1.22388i
$247$	−2.72958	+	1.84462i	−0.173679	+	0.117371i
$248$	11.0287	−	11.0287i	0.700321	−	0.700321i
$249$	15.4063	−	12.9274i	0.976333	−	0.819241i
$250$	24.2940	−	16.7687i	1.53649	−	1.06055i
$251$	−4.34679	+	24.6519i	−0.274367	+	1.55601i	0.466598	+	0.884470i	$0.345479\pi$
$251$	−4.34679	+	24.6519i	−0.274367	+	1.55601i	−0.740965	+	0.671544i	$0.765632\pi$
$252$	6.38592	−	9.12004i	0.402275	−	0.574508i
$253$	6.40404	−	13.7335i	0.402619	−	0.863419i
$254$	−26.1004	−	15.0691i	−1.63769	−	0.945519i
$255$	−28.8495	−	14.5697i	−1.80662	−	0.912392i
$256$	−5.43039	−	4.55664i	−0.339400	−	0.284790i
$257$	24.3303	−	2.12862i	1.51768	−	0.132780i	0.702374	−	0.711808i	$-0.252124\pi$
$257$	24.3303	−	2.12862i	1.51768	−	0.132780i	0.815307	+	0.579028i	$0.196568\pi$
$258$	−26.3922	−	7.07176i	−1.64311	−	0.440269i
$259$	0.751889	−	1.30231i	0.0467201	−	0.0809216i
$260$	−8.31518	+	1.19898i	−0.515685	+	0.0743577i
$261$	7.13070	−	1.25734i	0.441379	−	0.0778271i
$262$	−4.41231	−	6.30143i	−0.272593	−	0.389303i
$263$	−25.3318	+	11.8124i	−1.56203	+	0.728385i	−0.995420	−	0.0956024i	$-0.969522\pi$
$263$	−25.3318	+	11.8124i	−1.56203	+	0.728385i	−0.566608	+	0.823988i	$0.691744\pi$
$264$	−36.3146	−	43.2781i	−2.23501	−	2.66358i
$265$	−3.23497	+	15.4917i	−0.198723	+	0.951650i
$266$	−15.5545	−	5.95508i	−0.953706	−	0.365130i
$267$	18.5167	+	18.5167i	1.13320	+	1.13320i
$268$	−46.1968	−	4.04169i	−2.82192	−	0.246886i
$269$	8.30662	+	3.02336i	0.506463	+	0.184338i	0.582599	−	0.812760i	$-0.302036\pi$
$269$	8.30662	+	3.02336i	0.506463	+	0.184338i	−0.0761354	+	0.997097i	$0.524258\pi$
$270$	7.20513	+	16.8068i	0.438490	+	1.02283i
$271$	4.62314	+	26.2191i	0.280836	+	1.59270i	0.719792	+	0.694190i	$0.244237\pi$
$271$	4.62314	+	26.2191i	0.280836	+	1.59270i	−0.438956	+	0.898509i	$0.644652\pi$
$272$	−66.1562	−	30.8491i	−4.01131	−	1.87050i
$273$	0.603695	+	2.25302i	0.0365373	+	0.136359i
$274$	14.7161	+	25.4891i	0.889034	+	1.53985i
$275$	−15.1237	+	7.51077i	−0.911991	+	0.452916i
$276$	30.5745	−	36.4372i	1.84037	−	2.19326i
$277$	7.71818	−	28.8046i	0.463740	−	1.73070i	−0.197292	−	0.980345i	$-0.563215\pi$
$277$	7.71818	−	28.8046i	0.463740	−	1.73070i	0.661032	−	0.750358i	$-0.270119\pi$
$278$	20.1591	−	5.40162i	1.20906	−	0.323968i
$279$	−2.89138	+	1.05238i	−0.173103	+	0.0630042i
$280$	−17.3791	−	18.5036i	−1.03860	−	1.10580i
$281$	29.7911	+	5.25297i	1.77719	+	0.313366i	0.963454	−	0.267872i	$-0.0863205\pi$
$281$	29.7911	+	5.25297i	1.77719	+	0.313366i	0.813733	+	0.581238i	$0.197432\pi$
$282$	4.56527	+	9.79025i	0.271858	+	0.583001i
$283$	−0.763095	+	8.72221i	−0.0453613	+	0.518482i	0.939192	+	0.343394i	$0.111577\pi$
$283$	−0.763095	+	8.72221i	−0.0453613	+	0.518482i	−0.984553	+	0.175088i	$0.943979\pi$
$284$	30.0823			1.78505
$285$	−16.5437	+	12.5827i	−0.979967	+	0.745333i
$286$	6.73922			0.398499
$287$	0.430023	−	4.91519i	0.0253835	−	0.290135i
$288$	−8.33614	−	17.8769i	−0.491212	−	1.05341i
$289$	28.5000	+	5.02532i	1.67647	+	0.295607i
$290$	0.865223	−	27.6092i	0.0508077	−	1.62127i
$291$	−33.0910	+	12.0441i	−1.93983	+	0.706041i
$292$	−18.5360	+	4.96669i	−1.08473	+	0.290654i
$293$	−4.78204	+	17.8468i	−0.279370	+	1.04262i	0.673486	+	0.739200i	$0.264796\pi$
$293$	−4.78204	+	17.8468i	−0.279370	+	1.04262i	−0.952856	+	0.303423i	$0.901870\pi$
$294$	17.7542	−	21.1586i	1.03544	−	1.23399i
$295$	−0.769878	+	6.46122i	−0.0448240	+	0.376187i
$296$	−4.07560	−	7.05915i	−0.236890	−	0.410305i
$297$	−2.70731	−	10.1038i	−0.157094	−	0.586283i
$298$	19.5924	+	9.13607i	1.13496	+	0.529239i
$299$	0.588874	+	3.33967i	0.0340554	+	0.193138i
$300$	−51.9569	+	10.4858i	−2.99973	+	0.605401i
$301$	6.59943	+	2.40200i	0.380385	+	0.138449i
$302$	0.133564	+	0.0116853i	0.00768573	+	0.000672414i
$303$	−21.3135	−	21.3135i	−1.22443	−	1.22443i
$304$	−36.4561	+	29.5748i	−2.09090	+	1.69623i
$305$	−4.27948	−	6.53848i	−0.245042	−	0.374392i
$306$	17.8017	+	21.2153i	1.01766	+	1.21280i
$307$	−23.4118	+	10.9171i	−1.33618	+	0.623072i	−0.953663	−	0.300876i	$-0.902721\pi$
$307$	−23.4118	+	10.9171i	−1.33618	+	0.623072i	−0.382518	+	0.923948i	$0.624943\pi$
$308$	13.9357	+	19.9023i	0.794062	+	1.13404i
$309$	−24.0236	+	4.23601i	−1.36665	+	0.240978i
$310$	1.67524	+	11.6182i	0.0951475	+	0.659867i
$311$	13.9457	−	24.1546i	0.790786	−	1.36968i	−0.134695	−	0.990887i	$-0.543006\pi$
$311$	13.9457	−	24.1546i	0.790786	−	1.36968i	0.925481	−	0.378794i	$-0.123661\pi$
$312$	12.2125	+	3.27232i	0.691396	+	0.185259i
$313$	22.2097	−	1.94309i	1.25536	−	0.109830i	0.560003	−	0.828490i	$-0.310800\pi$
$313$	22.2097	−	1.94309i	1.25536	−	0.109830i	0.695361	+	0.718660i	$0.255244\pi$
$314$	−2.47896	−	2.08009i	−0.139896	−	0.117387i
$315$	1.56459	+	4.75733i	0.0881548	+	0.268045i
$316$	−7.23075	−	4.17468i	−0.406762	−	0.234844i
$317$	3.00369	−	6.44143i	0.168704	−	0.361786i	−0.803720	−	0.595008i	$-0.797149\pi$
$317$	3.00369	−	6.44143i	0.168704	−	0.361786i	0.972424	+	0.233221i	$0.0749267\pi$
$318$	22.8568	−	32.6429i	1.28174	−	1.83052i
$319$	−2.74383	+	15.5610i	−0.153625	+	0.871251i
$320$	−26.3698	+	6.18744i	−1.47412	+	0.345888i
$321$	3.54665	−	2.97599i	0.197955	−	0.166104i
$322$	−12.1231	+	12.1231i	−0.675595	+	0.675595i
$323$	17.3445	−	23.9170i	0.965075	−	1.33078i
$324$		−	55.9136i		−	3.10631i
$325$	1.80838	−	3.31818i	0.100311	−	0.184060i
$326$	−7.34130	+	20.1701i	−0.406597	+	1.11712i
$327$	8.18852	−	5.73367i	0.452826	−	0.317072i
$328$	−21.9078	−	15.3400i	−1.20966	−	0.847011i
$329$	−0.949640	−	2.60911i	−0.0523553	−	0.143845i
$330$	42.4524	−	2.37720i	2.33693	−	0.130861i
$331$	−18.9619	+	10.9477i	−1.04224	+	0.601738i	−0.920467	−	0.390820i	$-0.872191\pi$
$331$	−18.9619	+	10.9477i	−1.04224	+	0.601738i	−0.121773	+	0.992558i	$0.538858\pi$
$332$	4.08604	+	46.7036i	0.224251	+	2.56320i
$333$	0.140152	+	1.60195i	0.00768030	+	0.0877863i
$334$	−42.8703	+	24.7512i	−2.34576	+	1.35432i
$335$	13.9020	−	15.5513i	0.759549	−	0.849660i
$336$	11.3677	+	31.2324i	0.620157	+	1.70387i
$337$	10.2655	+	7.18800i	0.559199	+	0.391555i	0.818729	−	0.574180i	$-0.194679\pi$
$337$	10.2655	+	7.18800i	0.559199	+	0.391555i	−0.259531	+	0.965735i	$0.583568\pi$
$338$	26.8809	−	18.8222i	1.46213	−	1.02379i
$339$	0.483421	−	1.32819i	0.0262558	−	0.0721373i
$340$	66.3951	−	35.6083i	3.60078	−	1.93113i
$341$		−	6.71470i		−	0.363621i
$342$	17.2777	−	4.32399i	0.934272	−	0.233814i
$343$	−12.1833	+	12.1833i	−0.657838	+	0.657838i
$344$	29.1617	−	24.4696i	1.57229	−	1.31931i
$345$	4.88753	+	20.8299i	0.263136	+	1.12144i
$346$	−4.13530	+	23.4524i	−0.222315	+	1.26081i
$347$	4.18532	−	5.97726i	0.224680	−	0.320876i	−0.690947	−	0.722905i	$-0.742806\pi$
$347$	4.18532	−	5.97726i	0.224680	−	0.320876i	0.915627	+	0.402030i	$0.131695\pi$
$348$	−20.9614	+	44.9519i	−1.12365	+	2.40968i
$349$	3.49333	+	2.01687i	0.186994	+	0.107961i	0.590574	−	0.806983i	$-0.298901\pi$
$349$	3.49333	+	2.01687i	0.186994	+	0.107961i	−0.403581	+	0.914944i	$0.632235\pi$
$350$	18.9857	−	2.13297i	1.01483	−	0.114012i
$351$	1.79325	+	1.50472i	0.0957168	+	0.0803159i
$352$	42.8813	−	3.75162i	2.28558	−	0.199962i
$353$	−6.98480	−	1.87157i	−0.371763	−	0.0996137i	0.0680998	−	0.997679i	$-0.478306\pi$
$353$	−6.98480	−	1.87157i	−0.371763	−	0.0996137i	−0.439863	+	0.898065i	$0.644973\pi$
$354$	8.19221	−	14.1893i	0.435411	−	0.754154i
$355$	−8.10468	+	10.8357i	−0.430152	+	0.575101i
$356$	−60.1164	+	10.6001i	−3.18616	+	0.561806i
$357$	−11.9979	−	17.1347i	−0.634995	−	0.906866i
$358$	36.3468	−	16.9488i	1.92099	−	0.895772i
$359$	14.9907	+	17.8652i	0.791180	+	0.942891i	0.999380	−	0.0351947i	$-0.0112051\pi$
$359$	14.9907	+	17.8652i	0.791180	+	0.942891i	−0.208201	+	0.978086i	$0.566761\pi$
$360$	26.5726	+	5.54888i	1.40050	+	0.292452i
$361$	−8.94950	−	16.7603i	−0.471027	−	0.882119i
$362$	24.1907	+	24.1907i	1.27143	+	1.27143i
$363$	−0.861376	−	0.0753606i	−0.0452105	−	0.00395541i
$364$	−5.10940	−	1.85967i	−0.267806	−	0.0974732i
$365$	3.20489	−	8.01483i	0.167751	−	0.419515i
$366$	3.41684	+	19.3778i	0.178601	+	1.01290i
$367$	−5.27590	−	2.46019i	−0.275400	−	0.128421i	0.280012	−	0.959997i	$-0.409662\pi$
$367$	−5.27590	−	2.46019i	−0.275400	−	0.128421i	−0.555412	+	0.831575i	$0.687439\pi$
$368$	12.5068	+	46.6760i	0.651962	+	2.43316i
$369$	2.63807	+	4.56928i	0.137333	+	0.237867i
$370$	6.09156	+	0.725831i	0.316685	+	0.0377342i
$371$	−6.58386	+	7.84633i	−0.341817	+	0.407361i
$372$	5.45517	−	20.3590i	0.282837	−	1.05556i
$373$	−13.9417	+	3.73566i	−0.721873	+	0.193425i	−0.601007	−	0.799244i	$-0.705234\pi$
$373$	−13.9417	+	3.73566i	−0.721873	+	0.193425i	−0.120866	+	0.992669i	$0.538567\pi$
$374$	−56.7920	+	20.6706i	−2.93664	+	1.06885i
$375$	10.2210	−	21.5401i	0.527812	−	1.11233i
$376$	−14.8217	−	2.61346i	−0.764369	−	0.134779i
$377$	−1.49445	−	3.20486i	−0.0769681	−	0.165059i
$378$	−1.03148	+	11.7899i	−0.0530536	+	0.606406i
$379$	−0.0105447			−0.000541646			−0.000270823	−	1.00000i	$-0.500086\pi$
$379$	−0.0105447			−0.000541646			−0.000270823		1.00000i	$0.500086\pi$
$380$	−1.90689	−	48.4147i	−0.0978212	−	2.48362i
$381$	−24.3420			−1.24708
$382$	−3.56662	+	40.7666i	−0.182484	+	2.08580i
$383$	−6.96140	−	14.9288i	−0.355711	−	0.762825i	0.644287	−	0.764784i	$-0.277154\pi$
$383$	−6.96140	−	14.9288i	−0.355711	−	0.762825i	−0.999998	+	0.00195900i	$0.999376\pi$
$384$	13.6314	+	2.40359i	0.695625	+	0.122657i
$385$	−10.9234	−	0.342320i	−0.556708	−	0.0174463i
$386$	27.4878	−	10.0047i	1.39909	−	0.509228i
$387$	−7.25413	+	1.94374i	−0.368748	+	0.0988057i
$388$	21.2463	−	79.2923i	1.07862	−	4.02546i
$389$	−24.0141	+	28.6189i	−1.21756	+	1.45104i	−0.362919	+	0.931821i	$0.618220\pi$
$389$	−24.0141	+	28.6189i	−1.21756	+	1.45104i	−0.854644	+	0.519214i	$0.826225\pi$
$390$	−7.47724	+	5.88507i	−0.378625	+	0.298002i
$391$	−15.2059	−	26.3375i	−0.768997	−	1.33194i
$392$	9.95994	+	37.1710i	0.503053	+	1.87742i
$393$	−5.63105	−	2.62580i	−0.284049	−	0.132454i
$394$	−10.9409	−	62.0490i	−0.551195	−	3.12598i
$395$	3.45182	−	1.47981i	0.173680	−	0.0744574i
$396$	−24.4143	−	8.88609i	−1.22687	−	0.446543i
$397$	−1.79220	−	0.156797i	−0.0899478	−	0.00786941i	0.0420930	−	0.999114i	$-0.486597\pi$
$397$	−1.79220	−	0.156797i	−0.0899478	−	0.00786941i	−0.132041	+	0.991244i	$0.542153\pi$
$398$	34.8707	+	34.8707i	1.74791	+	1.74791i
$399$	−13.2848	+	2.11610i	−0.665072	+	0.105938i
$400$	21.5494	−	49.3482i	1.07747	−	2.46741i
$401$	1.94212	+	2.31453i	0.0969848	+	0.115582i	0.812354	−	0.583165i	$-0.198186\pi$
$401$	1.94212	+	2.31453i	0.0969848	+	0.115582i	−0.715369	+	0.698747i	$0.753741\pi$
$402$	−47.6026	+	22.1975i	−2.37420	+	1.10711i
$403$	0.861914	+	1.23094i	0.0429350	+	0.0613175i
$404$	69.1964	−	12.2012i	3.44265	−	0.607032i
$405$	20.1403	+	15.0641i	1.00078	+	0.748541i
$406$	8.93883	−	15.4825i	0.443627	−	0.768384i
$407$	−3.38965	−	0.908253i	−0.168019	−	0.0450204i
$408$	−112.952	+	9.88206i	−5.59198	+	0.489235i
$409$	−7.00848	−	5.88081i	−0.346547	−	0.290788i	0.452855	−	0.891584i	$-0.350406\pi$
$409$	−7.00848	−	5.88081i	−0.346547	−	0.290788i	−0.799402	+	0.600797i	$0.794850\pi$
$410$	19.1206	−	6.28838i	0.944297	−	0.310561i
$411$	20.5870	+	11.8859i	1.01548	+	0.586289i
$412$	24.0324	−	51.5377i	1.18399	−	2.53908i
$413$	−2.41552	+	3.44973i	−0.118860	+	0.169750i
$414$	3.18361	−	18.0552i	0.156466	−	0.887363i
$415$	−17.9237	−	11.1110i	−0.879838	−	0.545416i
$416$	−7.37944	+	6.19208i	−0.361807	+	0.303592i
$417$	11.9193	−	11.9193i	0.583692	−	0.583692i
$418$	−4.02868	+	38.6579i	−0.197049	+	1.89082i
$419$		−	33.0880i		−	1.61645i	−0.588871	−	0.808227i	$-0.700427\pi$
$419$		−	33.0880i		−	1.61645i	0.588871	−	0.808227i	$-0.299573\pi$
$420$	−32.8416	−	9.91233i	−1.60251	−	0.483672i
$421$	11.5177	−	31.6445i	0.561337	−	1.54226i	−0.256343	−	0.966586i	$-0.582518\pi$
$421$	11.5177	−	31.6445i	0.561337	−	1.54226i	0.817679	−	0.575674i	$-0.195260\pi$
$422$	40.8509	−	28.6041i	1.98859	−	1.39243i
$423$	2.43216	+	1.70302i	0.118256	+	0.0828036i
$424$	18.9890	+	52.1720i	0.922189	+	2.53369i
$425$	−5.06177	+	33.5092i	−0.245532	+	1.62544i
$426$	29.5073	−	17.0360i	1.42963	−	0.825398i
$427$	−0.440797	−	5.03834i	−0.0213317	−	0.243822i
$428$	0.940640	+	10.7516i	0.0454675	+	0.519696i
$429$	4.71389	−	2.72157i	0.227589	−	0.131398i
$430$	1.60181	+	28.6053i	0.0772461	+	1.37947i
$431$	10.9717	+	30.1444i	0.528486	+	1.45200i	0.860853	+	0.508854i	$0.169931\pi$
$431$	10.9717	+	30.1444i	0.528486	+	1.45200i	−0.332367	+	0.943150i	$0.607847\pi$
$432$	27.3244	+	19.1327i	1.31464	+	0.920524i
$433$	14.4888	−	10.1452i	0.696287	−	0.487545i	−0.171053	−	0.985262i	$-0.554717\pi$
$433$	14.4888	−	10.1452i	0.696287	−	0.487545i	0.867340	+	0.497717i	$0.165828\pi$
$434$	−2.59837	+	7.13897i	−0.124726	+	0.342682i
$435$	−10.5445	−	19.6612i	−0.505569	−	0.942683i
$436$			23.3026i			1.11599i
$437$	−19.5092	+	1.38149i	−0.933253	+	0.0660856i
$438$	−15.3689	+	15.3689i	−0.734356	+	0.734356i
$439$	19.4670	−	16.3347i	0.929109	−	0.779615i	−0.0465484	−	0.998916i	$-0.514822\pi$
$439$	19.4670	−	16.3347i	0.929109	−	0.779615i	0.975657	+	0.219301i	$0.0703777\pi$
$440$	−31.2120	+	50.3497i	−1.48798	+	2.40033i
$441$	1.31830	−	7.47643i	0.0627760	−	0.356020i
$442$	7.75780	−	11.0793i	0.369001	−	0.526988i
$443$	10.3038	−	22.0965i	0.489546	−	1.04984i	−0.494047	−	0.869435i	$-0.664483\pi$
$443$	10.3038	−	22.0965i	0.489546	−	1.04984i	0.983593	−	0.180400i	$-0.0577393\pi$
$444$	−9.53953	−	5.50765i	−0.452726	−	0.261381i
$445$	12.3782	−	24.5100i	0.586782	−	1.16189i
$446$	−36.5253	−	30.6483i	−1.72952	−	1.45124i
$447$	17.3938	−	1.52176i	0.822699	−	0.0719768i
$448$	−16.9330	−	4.53718i	−0.800008	−	0.214362i
$449$	−10.4496	+	18.0992i	−0.493147	+	0.854155i	−0.999969	−	0.00789548i	$-0.997487\pi$
$449$	−10.4496	+	18.0992i	−0.493147	+	0.854155i	0.506822	+	0.862051i	$0.330820\pi$
$450$	−15.3225	+	13.5134i	−0.722309	+	0.637026i
$451$	−11.3390	+	1.99937i	−0.533933	+	0.0941468i
$452$	1.88985	+	2.69899i	0.0888912	+	0.126950i
$453$	0.0981429	−	0.0457648i	0.00461116	−	0.00215022i
$454$	10.6839	+	12.7325i	0.501418	+	0.597567i
$455$	2.04642	−	1.33940i	0.0959377	−	0.0627919i
$456$	−26.0715	+	68.0977i	−1.22091	+	3.18897i
$457$	−24.2044	−	24.2044i	−1.13224	−	1.13224i	−0.989805	−	0.142432i	$-0.954508\pi$
$457$	−24.2044	−	24.2044i	−1.13224	−	1.13224i	−0.142432	−	0.989805i	$-0.545492\pi$
$458$	−32.5817	−	2.85053i	−1.52244	−	0.133197i
$459$	−19.7272	−	7.18010i	−0.920785	−	0.335138i
$460$	−46.3103	−	18.5181i	−2.15923	−	0.863409i
$461$	−0.897410	−	5.08947i	−0.0417966	−	0.237040i	0.956752	−	0.290906i	$-0.0939567\pi$
$461$	−0.897410	−	5.08947i	−0.0417966	−	0.237040i	−0.998548	+	0.0538660i	$0.982846\pi$
$462$	24.9403	+	11.6299i	1.16033	+	0.541070i
$463$	0.187380	+	0.699311i	0.00870828	+	0.0324997i	0.970143	−	0.242533i	$-0.0779781\pi$
$463$	0.187380	+	0.699311i	0.00870828	+	0.0324997i	−0.961435	+	0.275032i	$0.911311\pi$
$464$	−25.1942	−	43.6377i	−1.16961	−	2.02583i
$465$	5.86366	+	7.45003i	0.271921	+	0.345487i
$466$	−5.12655	+	6.10958i	−0.237483	+	0.283021i
$467$	−8.71326	+	32.5183i	−0.403201	+	1.50477i	0.404147	+	0.914694i	$0.367568\pi$
$467$	−8.71326	+	32.5183i	−0.403201	+	1.50477i	−0.807349	+	0.590075i	$0.799098\pi$
$468$	5.61628	−	1.50488i	0.259613	−	0.0695630i
$469$	12.6862	−	4.61738i	0.585792	−	0.213211i
$470$	8.25632	−	7.75457i	0.380836	−	0.357691i
$471$	−2.57399	−	0.453863i	−0.118603	−	0.0209129i
$472$	9.64732	+	20.6888i	0.444054	+	0.952277i
$473$	1.42838	−	16.3265i	0.0656770	−	0.750691i
$474$	−9.45672			−0.434362
$475$	17.9529	+	12.3569i	0.823736	+	0.566974i
$476$	48.7613			2.23497
$477$	0.954618	−	10.9113i	0.0437090	−	0.499596i
$478$	5.32668	+	11.4231i	0.243636	+	0.522480i
$479$	3.93150	+	0.693229i	0.179635	+	0.0316745i	0.262742	−	0.964866i	$-0.415373\pi$
$479$	3.93150	+	0.693229i	0.179635	+	0.0316745i	−0.0831071	+	0.996541i	$0.526484\pi$
$480$	−44.3011	+	41.6088i	−2.02206	+	1.89917i
$481$	0.737977	−	0.268602i	0.0336488	−	0.0122472i
$482$	1.16557	−	0.312314i	0.0530903	−	0.0142255i
$483$	−3.58397	+	13.3756i	−0.163076	+	0.608609i
$484$	1.29562	−	1.54406i	0.0588920	−	0.0701847i
$485$	22.8372	+	29.0157i	1.03699	+	1.31754i
$486$	−19.3980	−	33.5984i	−0.879913	−	1.52405i
$487$	5.65564	+	21.1071i	0.256281	+	0.956455i	0.967373	+	0.253356i	$0.0815344\pi$
$487$	5.65564	+	21.1071i	0.256281	+	0.956455i	−0.711092	+	0.703099i	$0.751799\pi$
$488$	−24.8460	−	11.5859i	−1.12473	−	0.524469i
$489$	3.01044	+	17.0731i	0.136137	+	0.772071i
$490$	−26.8917	−	10.7532i	−1.21484	−	0.485779i
$491$	6.60075	+	2.40248i	0.297888	+	0.108422i	0.486640	−	0.873602i	$-0.338222\pi$
$491$	6.60075	+	2.40248i	0.297888	+	0.108422i	−0.188753	+	0.982025i	$0.560444\pi$
$492$	−36.0042	−	3.14996i	−1.62319	−	0.142011i
$493$	22.4238	+	22.4238i	1.00992	+	1.00992i
$494$	−4.22368	−	7.60391i	−0.190032	−	0.342116i
$495$	9.77845	−	6.40007i	0.439509	−	0.287662i
$496$	13.7638	+	16.4031i	0.618013	+	0.736519i
$497$	−7.93712	+	3.70114i	−0.356029	+	0.166019i
$498$	30.4569	+	43.4970i	1.36481	+	1.94915i
$499$	−19.7298	+	3.47889i	−0.883225	+	0.155736i	−0.596823	−	0.802373i	$-0.703571\pi$
$499$	−19.7298	+	3.47889i	−0.883225	+	0.155736i	−0.286402	+	0.958109i	$0.592459\pi$
$500$	27.4653	+	48.3181i	1.22829	+	2.16085i
$501$	−19.9910	+	34.6255i	−0.893133	+	1.54695i
$502$	−63.8400	−	17.1059i	−2.84932	−	0.763473i
$503$	−5.62821	+	0.492405i	−0.250950	+	0.0219552i	−0.211936	−	0.977283i	$-0.567977\pi$
$503$	−5.62821	+	0.492405i	−0.250950	+	0.0219552i	−0.0390131	+	0.999239i	$0.512421\pi$
$504$	13.4586	+	11.2931i	0.599496	+	0.503037i
$505$	−14.2478	+	28.2120i	−0.634018	+	1.25542i
$506$	34.6487	+	20.0044i	1.54032	+	0.889306i
$507$	11.2012	−	24.0212i	0.497465	−	1.06682i
$508$	32.5470	−	46.4819i	1.44404	−	2.06230i
$509$	−1.69828	+	9.63145i	−0.0752752	+	0.426907i	0.923759	+	0.382974i	$0.125100\pi$
$509$	−1.69828	+	9.63145i	−0.0752752	+	0.426907i	−0.999034	+	0.0439331i	$0.986011\pi$
$510$	44.9606	−	72.5282i	1.99089	−	3.21160i
$511$	4.27959	−	3.59100i	0.189318	−	0.158857i
$512$	22.4141	−	22.4141i	0.990571	−	0.990571i
$513$	−9.70345	+	9.38705i	−0.428418	+	0.414448i
$514$			64.4842i			2.84428i
$515$	12.0893	+	22.5417i	0.532719	+	0.993306i
$516$	17.5948	−	48.3414i	0.774569	−	2.12811i
$517$	−5.30761	+	3.71643i	−0.233428	+	0.163448i
$518$	3.25236	+	2.27733i	0.142901	+	0.100060i
$519$	6.57850	+	18.0743i	0.288764	+	0.793373i
$520$	−0.741207	−	13.2366i	−0.0325041	−	0.580462i
$521$	35.7352	−	20.6317i	1.56559	−	0.903891i	0.568912	−	0.822399i	$-0.307365\pi$
$521$	35.7352	−	20.6317i	1.56559	−	0.903891i	0.996674	−	0.0814925i	$-0.0259687\pi$
$522$	1.66620	+	19.0448i	0.0729277	+	0.833567i
$523$	−1.50654	−	17.2198i	−0.0658762	−	0.752969i	−0.955252	−	0.295792i	$-0.904416\pi$
$523$	−1.50654	−	17.2198i	−0.0658762	−	0.752969i	0.889376	−	0.457176i	$-0.151139\pi$
$524$	12.5432	−	7.24179i	0.547950	−	0.316359i
$525$	12.4186	−	9.15912i	0.541990	−	0.399737i
$526$	−25.2402	−	69.3469i	−1.10053	−	3.02367i
$527$	−11.0390	−	7.72956i	−0.480865	−	0.336705i
$528$	63.5348	−	44.4875i	2.76500	−	1.93607i
$529$	0.980728	−	2.69453i	0.0426403	−	0.117153i
$530$	−40.0025	−	12.0736i	−1.73760	−	0.524445i
$531$		−	4.50340i		−	0.195431i
$532$	13.7219	−	28.1971i	0.594921	−	1.22250i
$533$	1.82203	−	1.82203i	0.0789207	−	0.0789207i
$534$	−52.9643	+	44.4423i	−2.29199	+	1.92321i
$535$	−4.12618	−	2.55784i	−0.178390	−	0.110585i
$536$	12.7073	−	72.0666i	0.548871	−	3.11280i
$537$	18.5789	−	26.5335i	0.801741	−	1.14500i
$538$	−9.86364	+	21.1527i	−0.425252	+	0.911955i
$539$	14.3476	+	8.28360i	0.617996	+	0.356800i
$540$	−32.7055	+	10.7562i	−1.40742	+	0.462873i
$541$	−10.5001	−	8.81062i	−0.451434	−	0.378798i	0.388534	−	0.921435i	$-0.372982\pi$
$541$	−10.5001	−	8.81062i	−0.451434	−	0.378798i	−0.839968	+	0.542636i	$0.817426\pi$
$542$	−70.0264	+	6.12652i	−3.00789	+	0.263156i
$543$	26.6898	+	7.15152i	1.14537	+	0.306901i
$544$	43.1947	−	74.8154i	1.85196	−	3.20768i
$545$	−8.39367	−	6.27812i	−0.359545	−	0.268925i
$546$	−6.06490	+	1.06941i	−0.259554	+	0.0457663i
$547$	−6.51682	−	9.30698i	−0.278639	−	0.397938i	0.655301	−	0.755368i	$-0.272542\pi$
$547$	−6.51682	−	9.30698i	−0.278639	−	0.397938i	−0.933940	+	0.357430i	$0.883653\pi$
$548$	−50.2228	+	23.4193i	−2.14541	+	1.00042i
$549$	3.47641	+	4.14303i	0.148370	+	0.176820i
$550$	−16.2749	−	41.5072i	−0.693964	−	1.76987i
$551$	19.2773	−	6.65670i	0.821239	−	0.283585i
$552$	53.0752	+	53.0752i	2.25903	+	2.25903i
$553$	2.42144	+	0.211849i	0.102970	+	0.00900872i
$554$	73.9869	+	26.9290i	3.14340	+	1.14411i
$555$	4.55399	−	1.95232i	0.193306	−	0.0828712i
$556$	6.82339	+	38.6974i	0.289376	+	1.64113i
$557$	−11.7653	−	5.48623i	−0.498510	−	0.232459i	0.157066	−	0.987588i	$-0.449796\pi$
$557$	−11.7653	−	5.48623i	−0.498510	−	0.232459i	−0.655576	+	0.755129i	$0.727574\pi$
$558$	−2.10265	−	7.84720i	−0.0890123	−	0.332198i
$559$	1.83385	+	3.17632i	0.0775636	+	0.134344i
$560$	27.3860	−	21.5546i	1.15727	−	0.910846i
$561$	−31.3767	+	37.3933i	−1.32473	+	1.57875i
$562$	−20.6720	+	77.1488i	−0.871994	+	3.25433i
$563$	−14.3716	+	3.85086i	−0.605691	+	0.162295i	−0.548615	−	0.836075i	$-0.684845\pi$
$563$	−14.3716	+	3.85086i	−0.605691	+	0.162295i	−0.0570766	+	0.998370i	$0.518178\pi$
$564$	−19.1120	+	6.95619i	−0.804760	+	0.292909i
$565$	−1.48134	−	0.0464228i	−0.0623206	−	0.00195302i
$566$	−22.7659	−	4.01424i	−0.956922	−	0.168731i
$567$	6.87928	+	14.7527i	0.288902	+	0.619553i
$568$	−4.13735	+	47.2901i	−0.173599	+	1.98425i
$569$	−47.1858			−1.97813			−0.989066	−	0.147474i	$-0.952886\pi$
$569$	−47.1858			−1.97813			−0.989066	+	0.147474i	$0.952886\pi$
$570$	−29.2884	−	46.4094i	−1.22676	−	1.94388i
$571$	−17.2848			−0.723346			−0.361673	−	0.932305i	$-0.617794\pi$
$571$	−17.2848			−0.723346			−0.361673	+	0.932305i	$0.617794\pi$
$572$	−1.10588	+	12.6403i	−0.0462391	+	0.528516i
$573$	13.9684	+	29.9554i	0.583540	+	1.25141i
$574$	12.8292	+	2.26213i	0.535479	+	0.0944194i
$575$	19.1471	−	11.6920i	0.798488	−	0.487592i
$576$	17.6156	−	6.41154i	0.733982	−	0.267147i
$577$	34.7170	−	9.30240i	1.44529	−	0.387264i	0.550907	−	0.834567i	$-0.314282\pi$
$577$	34.7170	−	9.30240i	1.44529	−	0.387264i	0.894383	+	0.447303i	$0.147615\pi$
$578$	−19.7761	+	73.8053i	−0.822576	+	3.06990i
$579$	15.1866	−	18.0987i	0.631134	−	0.752156i
$580$	51.6424	+	6.15338i	2.14434	+	0.255505i
$581$	−6.82423	−	11.8199i	−0.283117	−	0.490372i
$582$	−24.0642	−	89.8088i	−0.997493	−	3.72269i
$583$	21.6629	+	10.1016i	0.897184	+	0.418364i
$584$	−5.25844	−	29.8221i	−0.217596	−	1.23405i
$585$	−0.971061	+	2.42845i	−0.0401484	+	0.100404i
$586$	−45.8410	−	16.6848i	−1.89367	−	0.689241i
$587$	12.0602	+	1.05513i	0.497779	+	0.0435500i	0.333281	−	0.942827i	$-0.391844\pi$
$587$	12.0602	+	1.05513i	0.497779	+	0.0435500i	0.164498	+	0.986377i	$0.447400\pi$
$588$	36.7722	+	36.7722i	1.51646	+	1.51646i
$589$	−7.57624	+	4.20831i	−0.312173	+	0.173400i
$590$	−16.8174	−	3.51179i	−0.692360	−	0.144578i
$591$	−32.7107	−	38.9831i	−1.34554	−	1.60355i
$592$	10.1422	−	4.72937i	0.416840	−	0.194376i
$593$	−1.76470	−	2.52025i	−0.0724676	−	0.103494i	0.781282	−	0.624178i	$-0.214566\pi$
$593$	−1.76470	−	2.52025i	−0.0724676	−	0.103494i	−0.853750	+	0.520684i	$0.825677\pi$
$594$	27.1984	−	4.79582i	1.11596	−	0.196775i
$595$	−13.1371	+	17.5640i	−0.538571	+	0.720054i
$596$	−20.3509	+	35.2488i	−0.833604	+	1.44385i
$597$	38.4732	+	10.3089i	1.57461	+	0.421914i
$598$	−8.91963	+	0.780366i	−0.364751	+	0.0319116i
$599$	−5.01607	−	4.20898i	−0.204951	−	0.171974i	0.534535	−	0.845146i	$-0.320487\pi$
$599$	−5.01607	−	4.20898i	−0.204951	−	0.171974i	−0.739486	+	0.673172i	$0.764931\pi$
$600$	−9.33816	−	83.1197i	−0.381229	−	3.39335i
$601$	13.8832	+	8.01547i	0.566308	+	0.326958i	0.755673	−	0.654949i	$-0.227310\pi$
$601$	13.8832	+	8.01547i	0.566308	+	0.326958i	−0.189366	+	0.981907i	$0.560643\pi$
$602$	−7.83645	+	16.8053i	−0.319390	+	0.684934i
$603$	−8.28050	+	11.8258i	−0.337208	+	0.481583i
$604$	−0.0438345	+	0.248598i	−0.00178360	+	0.0101153i
$605$	0.207114	+	0.882686i	0.00842038	+	0.0358863i
$606$	60.9641	−	51.1549i	2.47650	−	2.07803i
$607$	−2.01581	+	2.01581i	−0.0818191	+	0.0818191i	−0.746832	−	0.665013i	$-0.768426\pi$
$607$	−2.01581	+	2.01581i	−0.0818191	+	0.0818191i	0.665013	+	0.746832i	$0.268426\pi$
$608$	−31.1080	−	46.0320i	−1.26160	−	1.86684i
$609$		−	14.4394i		−	0.585115i
$610$	18.1825	−	9.75144i	0.736189	−	0.394824i
$611$	0.495944	−	1.36259i	0.0200637	−	0.0551246i
$612$	−42.7131	+	29.9080i	−1.72657	+	1.20896i
$613$	−14.5379	−	10.1795i	−0.587179	−	0.411147i	0.241882	−	0.970306i	$-0.422235\pi$
$613$	−14.5379	−	10.1795i	−0.587179	−	0.411147i	−0.829061	+	0.559159i	$0.811124\pi$
$614$	−23.3271	−	64.0907i	−0.941406	−	2.58649i
$615$	10.8348	−	12.1202i	0.436901	−	0.488733i
$616$	−33.2035	+	19.1701i	−1.33781	+	0.772384i
$617$	0.420380	+	4.80497i	0.0169239	+	0.193441i	0.999950	+	0.00997634i	$0.00317562\pi$
$617$	0.420380	+	4.80497i	0.0169239	+	0.193441i	−0.983026	+	0.183464i	$0.941269\pi$
$618$	−5.61349	−	64.1625i	−0.225808	−	2.58099i
$619$	16.2048	−	9.35584i	0.651325	−	0.376043i	−0.137638	−	0.990483i	$-0.543951\pi$
$619$	16.2048	−	9.35584i	0.651325	−	0.376043i	0.788964	+	0.614440i	$0.210618\pi$
$620$	−22.0662	+	1.23564i	−0.886200	+	0.0496244i
$621$	4.75320	+	13.0593i	0.190739	+	0.524052i
$622$	60.3232	+	42.2387i	2.41874	+	1.69362i
$623$	14.5574	−	10.1932i	0.583229	−	0.408381i
$624$	−5.93670	+	16.3109i	−0.237658	+	0.652960i
$625$	−24.8040	−	3.12461i	−0.992159	−	0.124984i
$626$			58.8638i			2.35267i
$627$	12.7937	+	28.6670i	0.510929	+	1.14485i
$628$	4.30826	−	4.30826i	0.171918	−	0.171918i
$629$	−5.39513	+	4.52705i	−0.215118	+	0.180505i
$630$	−12.8729	+	3.02051i	−0.512870	+	0.120340i
$631$	−2.16739	+	12.2919i	−0.0862824	+	0.489332i	0.910790	+	0.412870i	$0.135473\pi$
$631$	−2.16739	+	12.2919i	−0.0862824	+	0.489332i	−0.997072	+	0.0764620i	$0.975638\pi$
$632$	7.55717	−	10.7928i	0.300608	−	0.429313i
$633$	17.0225	−	36.5050i	0.676585	−	1.45094i
$634$	16.2513	+	9.38268i	0.645421	+	0.372634i
$635$	7.97422	+	24.2465i	0.316447	+	0.962195i
$636$	57.4751	+	48.2273i	2.27904	+	1.91234i
$637$	−3.69351	+	0.323140i	−0.146342	+	0.0128033i
$638$	−40.2978	−	10.7978i	−1.59541	−	0.427488i
$639$	4.68250	−	8.11033i	0.185237	−	0.320840i
$640$	−2.07137	−	14.3653i	−0.0818780	−	0.567840i
$641$	−1.23774	+	0.218246i	−0.0488877	+	0.00862022i	−0.198039	−	0.980194i	$-0.563457\pi$
$641$	−1.23774	+	0.218246i	−0.0488877	+	0.00862022i	0.149151	+	0.988814i	$0.452346\pi$
$642$	7.01143	+	10.0134i	0.276719	+	0.395196i
$643$	−16.6843	+	7.78003i	−0.657966	+	0.306814i	−0.722775	−	0.691083i	$-0.757134\pi$
$643$	−16.6843	+	7.78003i	−0.657966	+	0.306814i	0.0648096	+	0.997898i	$0.479356\pi$
$644$	−20.7491	−	24.7278i	−0.817628	−	0.974411i
$645$	12.6724	+	19.3617i	0.498975	+	0.762367i
$646$	58.9160	+	51.1239i	2.31802	+	2.01144i
$647$	−8.59937	−	8.59937i	−0.338076	−	0.338076i	0.517567	−	0.855643i	$-0.326838\pi$
$647$	−8.59937	−	8.59937i	−0.338076	−	0.338076i	−0.855643	+	0.517567i	$0.826838\pi$
$648$	87.8976	+	7.69005i	3.45295	+	0.302094i
$649$	9.23492	+	3.36124i	0.362502	+	0.131940i
$650$	8.31147	+	5.52002i	0.326003	+	0.216513i
$651$	1.06551	+	6.04283i	0.0417608	+	0.236837i
$652$	−36.6268	−	17.0793i	−1.43442	−	0.668879i
$653$	−10.4506	−	39.0021i	−0.408963	−	1.52627i	−0.796628	−	0.604470i	$-0.793385\pi$
$653$	−10.4506	−	39.0021i	−0.408963	−	1.52627i	0.387665	−	0.921800i	$-0.373282\pi$
$654$	13.1966	+	22.8572i	0.516028	+	0.893786i
$655$	−0.770823	+	6.46915i	−0.0301185	+	0.252771i
$656$	23.6013	−	28.1269i	0.921474	−	1.09817i
$657$	−1.54620	+	5.77049i	−0.0603229	+	0.225128i
$658$	7.08112	−	1.89738i	0.276051	−	0.0739675i
$659$	41.9954	−	15.2851i	1.63591	−	0.595421i	0.649590	−	0.760285i	$-0.274940\pi$
$659$	41.9954	−	15.2851i	1.63591	−	0.595421i	0.986316	+	0.164863i	$0.0527183\pi$
$660$	−2.50753	+	80.0148i	−0.0976053	+	3.11457i
$661$	16.9893	+	2.99568i	0.660808	+	0.116518i	0.493988	−	0.869469i	$-0.335539\pi$
$661$	16.9893	+	2.99568i	0.660808	+	0.116518i	0.166821	+	0.985987i	$0.446650\pi$
$662$	−24.4315	−	52.3935i	−0.949557	−	2.03633i
$663$	0.952099	−	10.8825i	0.0369765	−	0.422643i
$664$	−73.9813			−2.87103
$665$	6.45979	+	12.5395i	0.250500	+	0.486260i
$666$	−4.24576			−0.164520
$667$	1.82968	−	20.9134i	0.0708456	−	0.809769i
$668$	−39.3891	−	84.4702i	−1.52401	−	3.26825i
$669$	−37.9254	−	6.68727i	−1.46628	−	0.258545i
$670$	37.7046	+	40.1443i	1.45666	+	1.55091i
$671$	−11.0906	+	4.03666i	−0.428149	+	0.155833i
$672$	−37.9953	+	10.1808i	−1.46570	+	0.392733i
$673$	10.2259	−	38.1636i	0.394180	−	1.47110i	−0.428993	−	0.903308i	$-0.641131\pi$
$673$	10.2259	−	38.1636i	0.394180	−	1.47110i	0.823173	−	0.567791i	$-0.192202\pi$
$674$	−21.2684	+	25.3467i	−0.819228	+	0.976318i
$675$	4.93700	−	14.6785i	0.190025	−	0.564977i
$676$	30.8923	+	53.5071i	1.18817	+	2.05797i
$677$	1.10203	+	4.11284i	0.0423546	+	0.158069i	0.983864	−	0.178916i	$-0.0572592\pi$
$677$	1.10203	+	4.11284i	0.0423546	+	0.158069i	−0.941510	+	0.336986i	$0.890593\pi$
$678$	3.38221	+	1.57715i	0.129893	+	0.0605701i
$679$	4.14987	+	23.5351i	0.159257	+	0.903193i
$680$	46.8455	+	109.272i	1.79644	+	4.19040i
$681$	12.6150	+	4.59147i	0.483406	+	0.175945i
$682$	17.6612	+	1.54516i	0.676284	+	0.0591672i
$683$	−13.0568	−	13.0568i	−0.499605	−	0.499605i	0.411710	−	0.911315i	$-0.364932\pi$
$683$	−13.0568	−	13.0568i	−0.499605	−	0.499605i	−0.911315	+	0.411710i	$0.864932\pi$
$684$	5.27498	+	33.1161i	0.201694	+	1.26622i
$685$	5.09519	−	24.4000i	0.194677	−	0.932276i
$686$	−29.2415	−	34.8486i	−1.11644	−	1.33053i
$687$	−23.9411	+	11.1639i	−0.913411	+	0.425931i
$688$	29.9767	+	42.8111i	1.14285	+	1.63216i
$689$	−5.26790	+	0.928873i	−0.200691	+	0.0353872i
$690$	−55.9121	+	8.06208i	−2.12854	+	0.306918i
$691$	7.35888	−	12.7460i	0.279945	−	0.484879i	−0.691426	−	0.722447i	$-0.743017\pi$
$691$	7.35888	−	12.7460i	0.279945	−	0.484879i	0.971371	+	0.237569i	$0.0763504\pi$
$692$	−43.3094	−	11.6047i	−1.64638	−	0.441145i
$693$	7.53495	−	0.659223i	0.286229	−	0.0250418i
$694$	14.7585	+	12.3838i	0.560225	+	0.470084i
$695$	−15.7773	−	7.96793i	−0.598466	−	0.302241i
$696$	−67.7827	−	39.1344i	−2.56930	−	1.48338i
$697$	−9.76582	+	20.9429i	−0.369907	+	0.793268i
$698$	−6.10873	+	8.72417i	−0.231219	+	0.330215i
$699$	−1.11858	+	6.34378i	−0.0423086	+	0.239944i
$700$	0.885171	+	35.9600i	0.0334563	+	1.35916i
$701$	7.41794	−	6.22439i	0.280172	−	0.235092i	−0.491863	−	0.870673i	$-0.663684\pi$
$701$	7.41794	−	6.22439i	0.280172	−	0.235092i	0.772034	+	0.635581i	$0.219239\pi$
$702$	−4.37042	+	4.37042i	−0.164951	+	0.164951i
$703$	1.09961	+	4.39379i	0.0414725	+	0.165715i
$704$			40.9088i			1.54181i
$705$	2.64345	−	8.75832i	0.0995582	−	0.329858i
$706$	6.52999	−	17.9410i	0.245759	−	0.675218i
$707$	−16.7561	+	11.7328i	−0.630179	+	0.441256i
$708$	25.2695	+	17.6939i	0.949688	+	0.664978i
$709$	−2.19179	−	6.02189i	−0.0823143	−	0.226157i	0.891707	−	0.452613i	$-0.149508\pi$
$709$	−2.19179	−	6.02189i	−0.0823143	−	0.226157i	−0.974021	+	0.226456i	$0.927286\pi$
$710$	−26.6355	−	23.8107i	−0.999614	−	0.893600i
$711$	−2.25103	+	1.29963i	−0.0844202	+	0.0487400i
$712$	−8.39562	−	95.9624i	−0.314639	−	3.59634i
$713$	0.777527	+	8.88717i	0.0291186	+	0.332827i
$714$	47.8293	−	27.6143i	1.78997	−	1.03344i
$715$	−4.25512	−	3.80385i	−0.159133	−	0.142256i
$716$	25.8252	+	70.9542i	0.965134	+	2.65168i
$717$	8.33895	+	5.83900i	0.311424	+	0.218061i
$718$	−50.4394	+	35.3181i	−1.88238	+	1.31806i
$719$	−2.06200	+	5.66529i	−0.0768994	+	0.211280i	−0.972185	−	0.234212i	$-0.924749\pi$
$719$	−2.06200	+	5.66529i	−0.0768994	+	0.211280i	0.895286	+	0.445492i	$0.146971\pi$
$720$	−10.7685	+	35.6783i	−0.401318	+	1.32965i
$721$			16.5549i			0.616536i
$722$	46.1429	−	19.6825i	1.71726	−	0.732507i
$723$	0.689158	−	0.689158i	0.0256301	−	0.0256301i
$724$	−49.3422	+	41.4031i	−1.83379	+	1.53873i
$725$	−16.1298	+	16.9440i	−0.599047	+	0.629283i
$726$	0.396433	−	2.24828i	0.0147130	−	0.0834415i
$727$	28.5248	−	40.7376i	1.05793	−	1.51087i	0.212221	−	0.977222i	$-0.431930\pi$
$727$	28.5248	−	40.7376i	1.05793	−	1.51087i	0.845704	−	0.533652i	$-0.179181\pi$
$728$	3.62617	−	7.77634i	0.134395	−	0.288211i
$729$	2.08576	+	1.20421i	0.0772504	+	0.0446005i
$730$	20.3434	+	10.2739i	0.752943	+	0.380256i
$731$	−25.1964	−	21.1423i	−0.931924	−	0.781977i
$732$	−36.9063	+	3.22888i	−1.36409	+	0.119343i
$733$	13.1557	+	3.52505i	0.485916	+	0.130201i	0.493456	−	0.869771i	$-0.335733\pi$
$733$	13.1557	+	3.52505i	0.485916	+	0.130201i	−0.00754013	+	0.999972i	$0.502400\pi$
$734$	7.68496	−	13.3107i	0.283657	−	0.491308i
$735$	−23.1525	+	3.33841i	−0.853994	+	0.123139i
$736$	−56.3206	+	9.93085i	−2.07601	+	0.366056i
$737$	−18.0702	−	25.8069i	−0.665624	−	0.950610i
$738$	−12.6253	+	5.88730i	−0.464745	+	0.216714i
$739$	−6.65156	−	7.92702i	−0.244682	−	0.291600i	0.629701	−	0.776838i	$-0.283178\pi$
$739$	−6.65156	−	7.92702i	−0.244682	−	0.291600i	−0.874382	+	0.485238i	$0.838733\pi$
$740$	−2.36099	+	11.3064i	−0.0867916	+	0.415631i
$741$	−6.02510	−	3.61303i	−0.221338	−	0.132728i
$742$	−19.1227	−	19.1227i	−0.702015	−	0.702015i
$743$	−23.4242	−	2.04935i	−0.859350	−	0.0751834i	−0.351043	−	0.936359i	$-0.614173\pi$
$743$	−23.4242	−	2.04935i	−0.859350	−	0.0751834i	−0.508307	+	0.861176i	$0.669728\pi$
$744$	31.2545	+	11.3757i	1.14585	+	0.417054i
$745$	−7.21385	−	16.8271i	−0.264295	−	0.616497i
$746$	−6.61747	−	37.5296i	−0.242283	−	1.37405i
$747$	13.2276	+	6.16812i	0.483971	+	0.225680i
$748$	−29.4509	−	109.912i	−1.07683	−	4.01879i
$749$	−1.57099	−	2.72104i	−0.0574028	−	0.0994246i
$750$	54.3036	+	31.8405i	1.98289	+	1.16265i
$751$	−22.9917	+	27.4005i	−0.838981	+	0.999858i	0.160936	+	0.986965i	$0.448549\pi$
$751$	−22.9917	+	27.4005i	−0.838981	+	0.999858i	−0.999917	+	0.0128936i	$0.995896\pi$
$752$	5.34780	−	19.9582i	0.195014	−	0.727802i
$753$	−51.5623	+	13.8161i	−1.87903	+	0.503486i
$754$	8.77344	−	3.19327i	0.319510	−	0.116292i
$755$	−0.0777361	−	0.0827659i	−0.00282910	−	0.00301216i
$756$	−21.9441	−	3.86934i	−0.798100	−	0.140727i
$757$	−6.44214	−	13.8152i	−0.234143	−	0.502122i	0.753768	−	0.657140i	$-0.228234\pi$
$757$	−6.44214	−	13.8152i	−0.234143	−	0.502122i	−0.987912	+	0.155018i	$0.950456\pi$
$758$	0.00242651	−	0.0277351i	8.81348e−5	−	0.00100739i
$759$	32.3144			1.17294
$760$	76.3715	+	3.66102i	2.77028	+	0.132799i
$761$	−37.5367			−1.36070			−0.680352	−	0.732885i	$-0.738173\pi$
$761$	−37.5367			−1.36070			−0.680352	+	0.732885i	$0.738173\pi$
$762$	5.60148	−	64.0252i	0.202920	−	2.31939i
$763$	−2.86701	−	6.14832i	−0.103793	−	0.222584i
$764$	−75.8776	−	13.3793i	−2.74516	−	0.484045i
$765$	0.734667	−	23.4431i	0.0265620	−	0.847589i
$766$	40.8681	−	14.8748i	1.47663	−	0.537448i
$767$	−2.12440	+	0.569232i	−0.0767078	+	0.0205538i
$768$	3.91258	−	14.6019i	0.141183	−	0.526902i
$769$	13.5727	−	16.1753i	0.489444	−	0.583297i	−0.463632	−	0.886028i	$-0.653454\pi$
$769$	13.5727	−	16.1753i	0.489444	−	0.583297i	0.953076	+	0.302731i	$0.0978984\pi$
$770$	3.41403	−	28.6524i	0.123033	−	1.03256i
$771$	26.0413	+	45.1048i	0.937854	+	1.62441i
$772$	14.2545	+	53.1986i	0.513031	+	1.91466i
$773$	33.0593	+	15.4158i	1.18906	+	0.554468i	0.913509	−	0.406818i	$-0.133362\pi$
$773$	33.0593	+	15.4158i	1.18906	+	0.554468i	0.275552	+	0.961286i	$0.411139\pi$
$774$	−3.44320	−	19.5274i	−0.123763	−	0.701896i
$775$	5.49993	−	8.28122i	0.197563	−	0.297470i
$776$	121.727	+	44.3052i	4.36976	+	1.59046i
$777$	3.19461	+	0.279492i	0.114606	+	0.0100267i
$778$	−69.7484	−	69.7484i	−2.50060	−	2.50060i
$779$	9.36241	+	11.5408i	0.335443	+	0.413492i
$780$	−9.81121	−	14.9902i	−0.351297	−	0.536736i
$781$	13.1366	+	15.6556i	0.470063	+	0.560200i
$782$	72.7729	−	33.9345i	2.60235	−	1.21350i
$783$	−8.31203	−	11.8708i	−0.297048	−	0.424228i
$784$	−52.0289	+	9.17410i	−1.85818	+	0.327646i
$785$	0.391131	+	2.71257i	0.0139601	+	0.0968159i
$786$	8.20227	−	14.2067i	0.292565	−	0.506738i
$787$	13.2146	+	3.54084i	0.471049	+	0.126217i	0.486532	−	0.873663i	$-0.338262\pi$
$787$	13.2146	+	3.54084i	0.471049	+	0.126217i	−0.0154827	+	0.999880i	$0.504929\pi$
$788$	118.176	−	10.3391i	4.20985	−	0.368314i
$789$	−45.6598	−	38.3132i	−1.62553	−	1.36398i
$790$	3.09794	+	9.41964i	0.110220	+	0.335136i
$791$	−0.830700	−	0.479605i	−0.0295363	−	0.0170528i
$792$	17.3270	−	37.1578i	0.615687	−	1.32035i
$793$	1.51498	−	2.16362i	0.0537986	−	0.0768324i
$794$	0.824826	−	4.67782i	0.0292720	−	0.166010i
$795$	−32.8564	+	7.70945i	−1.16530	+	0.273426i
$796$	−71.1266	+	59.6823i	−2.52101	+	2.11538i
$797$	−33.0683	+	33.0683i	−1.17134	+	1.17134i	−0.189449	+	0.981891i	$0.560670\pi$
$797$	−33.0683	+	33.0683i	−1.17134	+	1.17134i	−0.981891	+	0.189449i	$0.939330\pi$
$798$	−2.50881	−	35.4291i	−0.0888110	−	1.25418i
$799$			13.0038i			0.460043i
$800$	55.9583	+	30.4967i	1.97842	+	1.07822i
$801$	−6.49966	+	17.8577i	−0.229654	+	0.630970i
$802$	−6.53467	+	4.57562i	−0.230747	+	0.161571i
$803$	−10.6792	−	7.47767i	−0.376862	−	0.263881i
$804$	−33.8227	−	92.9272i	−1.19284	−	3.27729i
$805$	14.4972	−	0.811797i	0.510959	−	0.0286121i
$806$	−3.43601	+	1.98378i	−0.121028	+	0.0698756i
$807$	1.64295	+	18.7790i	0.0578345	+	0.661052i
$808$	9.66370	+	110.457i	0.339968	+	3.88585i
$809$	0.733649	−	0.423572i	0.0257937	−	0.0148920i	−0.487048	−	0.873375i	$-0.661926\pi$
$809$	0.733649	−	0.423572i	0.0257937	−	0.0148920i	0.512841	+	0.858483i	$0.328593\pi$
$810$	−44.2567	+	49.5072i	−1.55502	+	1.73951i
$811$	−9.15057	−	25.1410i	−0.321320	−	0.882819i	−0.990226	−	0.139472i	$-0.955459\pi$
$811$	−9.15057	−	25.1410i	−0.321320	−	0.882819i	0.668906	−	0.743347i	$-0.266763\pi$
$812$	27.5726	+	19.3065i	0.967607	+	0.677526i
$813$	−46.5073	+	32.5648i	−1.63108	+	1.14210i
$814$	3.16893	−	8.70657i	0.111071	−	0.305165i
$815$	16.0199	−	8.59162i	0.561154	−	0.300951i
$816$		−	155.663i		−	5.44928i
$817$	−19.3165	+	8.62064i	−0.675798	+	0.301598i
$818$	17.0807	−	17.0807i	0.597213	−	0.597213i
$819$	−1.29669	+	1.08805i	−0.0453100	+	0.0380196i
$820$	8.65704	+	36.8949i	0.302317	+	1.28843i
$821$	5.85485	−	33.2045i	0.204336	−	1.15884i	−0.694146	−	0.719834i	$-0.744218\pi$
$821$	5.85485	−	33.2045i	0.204336	−	1.15884i	0.898482	−	0.439011i	$-0.144671\pi$
$822$	−36.0002	+	51.4136i	−1.25565	+	1.79326i
$823$	−1.45757	+	3.12577i	−0.0508076	+	0.108957i	−0.930073	−	0.367375i	$-0.880256\pi$
$823$	−1.45757	+	3.12577i	−0.0508076	+	0.108957i	0.879265	+	0.476333i	$0.158034\pi$
$824$	77.7133	+	44.8678i	2.70727	+	1.56304i
$825$	−28.1461	−	22.4606i	−0.979920	−	0.781978i
$826$	−8.51775	−	7.14724i	−0.296370	−	0.248684i
$827$	8.55439	−	0.748412i	0.297465	−	0.0260248i	0.0625537	−	0.998042i	$-0.480076\pi$
$827$	8.55439	−	0.748412i	0.297465	−	0.0260248i	0.234912	+	0.972017i	$0.424520\pi$
$828$	33.3423	+	8.93405i	1.15873	+	0.310480i
$829$	18.2242	−	31.5652i	0.632952	−	1.09630i	−0.353993	−	0.935248i	$-0.615176\pi$
$829$	18.2242	−	31.5652i	0.632952	−	1.09630i	0.986945	−	0.161057i	$-0.0514902\pi$
$830$	33.3490	−	44.5867i	1.15756	−	1.54763i
$831$	62.6267	−	11.0428i	2.17250	−	0.383070i
$832$	−5.25115	−	7.49942i	−0.182051	−	0.259996i
$833$	30.1344	−	14.0519i	1.04409	−	0.486869i
$834$	28.6079	+	34.0935i	0.990609	+	1.18056i
$835$	41.0386	+	8.56964i	1.42020	+	0.296565i
$836$	−71.8467	−	13.8999i	−2.48487	−	0.480738i
$837$	4.35452	+	4.35452i	0.150514	+	0.150514i
$838$	87.0292	+	7.61407i	3.00638	+	0.263024i
$839$	1.46618	+	0.533644i	0.0506180	+	0.0184235i	0.367205	−	0.930140i	$-0.380315\pi$
$839$	1.46618	+	0.533644i	0.0506180	+	0.0184235i	−0.316587	+	0.948563i	$0.602537\pi$
$840$	20.0993	−	50.2646i	0.693491	−	1.73429i
$841$	−1.23450	−	7.00121i	−0.0425691	−	0.241421i
$842$	80.5822	+	37.5761i	2.77705	+	1.29496i
$843$	16.6963	+	62.3115i	0.575052	+	2.14612i
$844$	46.9471	+	81.3148i	1.61599	+	2.79897i
$845$	−27.5964	−	3.28821i	−0.949344	−	0.113118i
$846$	−5.03902	+	6.00527i	−0.173245	+	0.206466i
$847$	−0.151874	+	0.566803i	−0.00521846	+	0.0194756i
$848$	−73.6255	+	19.7279i	−2.52831	+	0.677458i
$849$	−17.5452	+	6.38593i	−0.602149	+	0.219164i
$850$	−86.9725	−	21.0247i	−2.98313	−	0.721140i
$851$	4.59150	+	0.809606i	0.157395	+	0.0277529i
$852$	27.1112	+	58.1401i	0.928814	+	1.99185i
$853$	−3.39026	+	38.7508i	−0.116080	+	1.32680i	0.685131	+	0.728420i	$0.259745\pi$
$853$	−3.39026	+	38.7508i	−0.116080	+	1.32680i	−0.801211	+	0.598382i	$0.795811\pi$
$854$	13.3535			0.456946
$855$	−13.3497	−	7.02197i	−0.456550	−	0.240146i
$856$	−17.0311			−0.582111
$857$	0.0794718	−	0.908367i	0.00271471	−	0.0310292i	−0.994717	−	0.102660i	$-0.967265\pi$
$857$	0.0794718	−	0.908367i	0.00271471	−	0.0310292i	0.997431	+	0.0716306i	$0.0228203\pi$
$858$	6.07362	+	13.0249i	0.207350	+	0.444664i
$859$	20.0945	+	3.54321i	0.685617	+	0.120893i	0.505596	−	0.862770i	$-0.331272\pi$
$859$	20.0945	+	3.54321i	0.685617	+	0.120893i	0.180020	+	0.983663i	$0.442384\pi$
$860$	−53.9157	−	1.68963i	−1.83851	−	0.0576158i
$861$	9.88716	−	3.59863i	0.336954	−	0.122641i
$862$	−81.8116	+	21.9214i	−2.78652	+	0.746645i
$863$	−10.8204	+	40.3823i	−0.368331	+	1.37463i	0.494518	+	0.869168i	$0.335345\pi$
$863$	−10.8204	+	40.3823i	−0.368331	+	1.37463i	−0.862849	+	0.505462i	$0.831322\pi$
$864$	−25.3758	+	30.2417i	−0.863301	+	1.02884i
$865$	15.8484	−	12.4737i	0.538860	−	0.424118i
$866$	23.3501	+	40.4435i	0.793468	+	1.37433i
$867$	15.9727	+	59.6110i	0.542462	+	2.02450i
$868$	−12.9637	−	6.04505i	−0.440015	−	0.205182i
$869$	−0.984979	−	5.58610i	−0.0334131	−	0.189495i
$870$	54.1401	−	23.2101i	1.83552	−	0.786896i
$871$	6.62527	+	2.41140i	0.224489	+	0.0817072i
$872$	−36.6322	−	3.20491i	−1.24052	−	0.108532i
$873$	−18.0705	−	18.0705i	−0.611593	−	0.611593i
$874$	0.855736	−	51.6318i	0.0289457	−	1.74647i
$875$	−13.1914	−	9.36942i	−0.445951	−	0.316744i
$876$	−26.3044	−	31.3484i	−0.888743	−	1.05916i
$877$	−11.9902	+	5.59112i	−0.404880	+	0.188799i	−0.614380	−	0.789010i	$-0.710594\pi$
$877$	−11.9902	+	5.59112i	−0.404880	+	0.188799i	0.209501	+	0.977809i	$0.432816\pi$
$878$	38.4846	+	54.9617i	1.29879	+	1.85487i
$879$	−38.8024	+	6.84191i	−1.30877	+	0.230772i
$880$	−65.1265	−	48.7119i	−2.19541	−	1.64208i
$881$	−22.7571	+	39.4165i	−0.766707	+	1.32798i	0.172632	+	0.984986i	$0.444773\pi$
$881$	−22.7571	+	39.4165i	−0.766707	+	1.32798i	−0.939339	+	0.342989i	$0.888561\pi$
$882$	19.3614	+	5.18788i	0.651933	+	0.174685i
$883$	19.6825	−	1.72200i	0.662370	−	0.0579499i	0.248987	−	0.968507i	$-0.419903\pi$
$883$	19.6825	−	1.72200i	0.662370	−	0.0579499i	0.413383	+	0.910557i	$0.364347\pi$
$884$	19.5076	+	16.3688i	0.656110	+	0.550542i
$885$	−13.1815	+	4.33513i	−0.443090	+	0.145724i
$886$	55.7479	+	32.1861i	1.87289	+	1.08131i
$887$	−14.8800	+	31.9103i	−0.499622	+	1.07144i	0.481213	+	0.876604i	$0.340196\pi$
$887$	−14.8800	+	31.9103i	−0.499622	+	1.07144i	−0.980835	+	0.194839i	$0.937582\pi$
$888$	9.97018	−	14.2389i	0.334577	−	0.477826i
$889$	−2.86858	+	16.2685i	−0.0962089	+	0.545628i
$890$	61.6187	+	38.1977i	2.06546	+	1.28039i
$891$	29.0988	−	24.4168i	0.974848	−	0.817995i
$892$	63.4784	−	63.4784i	2.12541	−	2.12541i
$893$	7.51971	+	3.65941i	0.251638	+	0.122458i
$894$			46.1000i			1.54181i
$895$	−32.5157	−	9.81396i	−1.08688	−	0.328045i
$896$	3.21278	−	8.82703i	0.107331	−	0.294891i
$897$	−5.92388	+	4.14794i	−0.197793	+	0.138496i
$898$	−45.2006	−	31.6498i	−1.50836	−	1.05617i
$899$	−3.18165	−	8.74151i	−0.106114	−	0.291546i
$900$	−22.8317	−	30.9567i	−0.761055	−	1.03189i
$901$	41.5440	−	23.9854i	1.38403	−	0.799070i
$902$	−2.64954	−	30.2844i	−0.0882199	−	1.00836i
$903$	1.30529	+	14.9195i	0.0434373	+	0.496490i
$904$	−4.50280	+	2.59969i	−0.149761	+	0.0864645i
$905$	−1.61987	−	28.9279i	−0.0538465	−	0.961598i
$906$	0.0977880	+	0.268670i	0.00324879	+	0.00892597i
$907$	−21.5435	−	15.0849i	−0.715339	−	0.500886i	0.158343	−	0.987384i	$-0.449385\pi$
$907$	−21.5435	−	15.0849i	−0.715339	−	0.500886i	−0.873681	+	0.486499i	$0.838274\pi$
$908$	−25.6346	+	17.9496i	−0.850715	+	0.595677i
$909$	7.48137	−	20.5549i	0.248142	−	0.681763i
$910$	3.05202	+	5.69079i	0.101173	+	0.188648i
$911$		−	15.9394i		−	0.528097i	−0.964509	−	0.264048i	$-0.914942\pi$
$911$		−	15.9394i		−	0.528097i	0.964509	−	0.264048i	$-0.0850579\pi$
$912$	−90.0148	−	43.8050i	−2.98069	−	1.45053i
$913$	−22.5214	+	22.5214i	−0.745350	+	0.745350i
$914$	69.2333	−	58.0936i	2.29003	−	1.92157i
$915$	8.78013	−	14.1637i	0.290262	−	0.468237i
$916$	10.6931	−	60.6434i	0.353309	−	2.00371i
$917$	−2.41849	+	3.45396i	−0.0798656	+	0.114060i
$918$	23.4249	−	50.2349i	0.773137	−	1.65800i
$919$	−15.4982	−	8.94789i	−0.511238	−	0.295164i	0.222104	−	0.975023i	$-0.428708\pi$
$919$	−15.4982	−	8.94789i	−0.511238	−	0.295164i	−0.733343	+	0.679859i	$0.762041\pi$
$920$	35.4801	−	70.2541i	1.16975	−	2.31621i
$921$	−42.1990	−	35.4092i	−1.39051	−	1.16677i
$922$	13.5930	−	1.18923i	0.447662	−	0.0391653i
$923$	−4.41778	−	1.18374i	−0.145413	−	0.0389633i
$924$	−25.9059	+	44.8703i	−0.852240	+	1.47612i
$925$	−3.43651	−	3.89657i	−0.112992	−	0.128118i
$926$	−1.88247	+	0.331931i	−0.0618619	+	0.0109079i
$927$	−10.1540	−	14.5015i	−0.333502	−	0.476290i
$928$	54.0472	−	25.2026i	1.77419	−	0.827316i
$929$	15.8934	+	18.9410i	0.521445	+	0.621434i	0.960922	−	0.276820i	$-0.0892806\pi$
$929$	15.8934	+	18.9410i	0.521445	+	0.621434i	−0.439477	+	0.898254i	$0.644836\pi$
$930$	−20.9447	+	13.7084i	−0.686803	+	0.449517i
$931$	0.354350	−	21.3801i	0.0116133	−	0.700704i
$932$	−10.6180	−	10.6180i	−0.347805	−	0.347805i
$933$	59.2520	+	5.18388i	1.93982	+	0.169712i
$934$	−83.5258	−	30.4009i	−2.73305	−	0.994748i
$935$	47.5254	+	19.0040i	1.55425	+	0.621496i
$936$	1.59328	+	9.03591i	0.0520778	+	0.295348i
$937$	30.5161	+	14.2299i	0.996919	+	0.464871i	0.851418	−	0.524487i	$-0.175743\pi$
$937$	30.5161	+	14.2299i	0.996919	+	0.464871i	0.145501	+	0.989358i	$0.453521\pi$
$938$	9.22552	+	34.4301i	0.301224	+	1.12418i
$939$	23.7716	+	41.1735i	0.775755	+	1.34365i
$940$	13.1898	+	16.7583i	0.430205	+	0.546594i
$941$	0.609174	−	0.725985i	0.0198585	−	0.0236664i	−0.756024	−	0.654544i	$-0.772861\pi$
$941$	0.609174	−	0.725985i	0.0198585	−	0.0236664i	0.775882	+	0.630878i	$0.217305\pi$
$942$	1.78608	−	6.66575i	0.0581937	−	0.217182i
$943$	14.7761	−	3.95924i	0.481176	−	0.128931i
$944$	−29.4495	+	10.7187i	−0.958498	+	0.348865i
$945$	7.30588	−	6.86188i	0.237660	−	0.223217i
$946$	42.6138	+	7.51396i	1.38549	+	0.244300i
$947$	−25.8222	−	55.3760i	−0.839110	−	1.79948i	−0.528478	−	0.848947i	$-0.677237\pi$
$947$	−25.8222	−	55.3760i	−0.839110	−	1.79948i	−0.310632	−	0.950530i	$-0.600541\pi$
$948$	1.55181	−	17.7373i	0.0504004	−	0.576080i
$949$	2.91757			0.0947083
$950$	−36.6328	+	44.3769i	−1.18853	+	1.43978i
$951$	15.1564			0.491480
$952$	−6.70636	+	76.6541i	−0.217354	+	2.48437i
$953$	20.6528	+	44.2901i	0.669011	+	1.43470i	0.888404	+	0.459062i	$0.151814\pi$
$953$	20.6528	+	44.2901i	0.669011	+	1.43470i	−0.219394	+	0.975636i	$0.570408\pi$
$954$	28.4797	+	5.02174i	0.922065	+	0.162585i
$955$	25.2620	−	23.7268i	0.817459	−	0.767781i
$956$	−22.2995	+	8.11636i	−0.721218	+	0.262502i
$957$	−32.5477	+	8.72114i	−1.05212	+	0.281914i
$958$	−2.72806	+	10.1813i	−0.0881395	+	0.328941i
$959$	10.3698	−	12.3582i	0.334858	−	0.399068i
$960$	−35.7239	−	45.3888i	−1.15298	−	1.46492i
$961$	−13.5234	−	23.4233i	−0.436240	−	0.755590i
$962$	0.536666	+	2.00286i	0.0173028	+	0.0645749i
$963$	3.04510	+	1.41995i	0.0981268	+	0.0457573i
$964$	0.394518	+	2.23742i	0.0127066	+	0.0720625i
$965$	−23.0027	−	9.19809i	−0.740484	−	0.296097i
$966$	−34.3562	−	12.5046i	−1.10539	−	0.402330i
$967$	30.9024	+	2.70361i	0.993754	+	0.0869422i	0.572418	−	0.819962i	$-0.306006\pi$
$967$	30.9024	+	2.70361i	0.993754	+	0.0869422i	0.421337	+	0.906904i	$0.361561\pi$
$968$	2.24911	+	2.24911i	0.0722893	+	0.0722893i
$969$	61.8559	+	11.9670i	1.98710	+	0.384436i
$970$	−81.5734	+	53.3904i	−2.61916	+	1.71426i
$971$	−11.7941	−	14.0557i	−0.378491	−	0.451068i	0.542846	−	0.839832i	$-0.317347\pi$
$971$	−11.7941	−	14.0557i	−0.378491	−	0.451068i	−0.921337	+	0.388764i	$0.872902\pi$
$972$	66.2011	−	30.8701i	2.12340	−	0.990158i
$973$	−6.56142	−	9.37069i	−0.210350	−	0.300410i
$974$	−56.8182	+	10.0186i	−1.82057	+	0.321016i
$975$	8.04284	+	0.504593i	0.257577	+	0.0161599i
$976$	18.8185	−	32.5946i	0.602365	−	1.04333i
$977$	−27.9001	−	7.47581i	−0.892603	−	0.239172i	−0.216766	−	0.976224i	$-0.569551\pi$
$977$	−27.9001	−	7.47581i	−0.892603	−	0.239172i	−0.675837	+	0.737051i	$0.736218\pi$
$978$	−45.5990	+	3.98939i	−1.45809	+	0.127567i
$979$	−31.7687	−	26.6571i	−1.01533	−	0.851965i
$980$	24.5818	−	48.6742i	0.785236	−	1.55484i
$981$	6.28250	+	3.62720i	0.200585	+	0.115808i
$982$	−7.83802	+	16.8087i	−0.250121	+	0.536387i
$983$	−24.0443	+	34.3388i	−0.766895	+	1.09524i	0.225751	+	0.974185i	$0.427516\pi$
$983$	−24.0443	+	34.3388i	−0.766895	+	1.09524i	−0.992646	+	0.121054i	$0.961373\pi$
$984$	9.90363	−	56.1663i	0.315716	−	1.79052i
$985$	−28.1145	+	45.3529i	−0.895802	+	1.44506i
$986$	−64.1400	+	53.8199i	−2.04263	+	1.71397i
$987$	4.18680	−	4.18680i	0.133267	−	0.133267i
$988$	14.9552	−	6.67427i	0.475787	−	0.212337i
$989$			21.7741i			0.692377i
$990$	14.5835	+	27.1924i	0.463494	+	0.864231i
$991$	−12.0415	+	33.0837i	−0.382510	+	1.05094i	0.587786	+	0.809017i	$0.300000\pi$
$991$	−12.0415	+	33.0837i	−0.382510	+	1.05094i	−0.970296	+	0.241921i	$0.922222\pi$
$992$	−20.7587	+	14.5354i	−0.659091	+	0.461500i
$993$	−38.2477	−	26.7813i	−1.21375	−	0.849880i
$994$	−7.90842	−	21.7282i	−0.250840	−	0.689177i
$995$	−2.33504	−	41.6995i	−0.0740257	−	1.32196i
$996$	−86.5818	+	49.9880i	−2.74345	+	1.58393i
$997$	2.04353	+	23.3577i	0.0647192	+	0.739744i	0.957345	+	0.288946i	$0.0933049\pi$
$997$	2.04353	+	23.3577i	0.0647192	+	0.739744i	−0.892626	+	0.450798i	$0.851140\pi$
$998$	−4.61017	−	52.6945i	−0.145932	−	1.66801i
$999$	2.78721	−	1.60920i	0.0881835	−	0.0509127i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.r.a.32.1	yes	96
3.2	odd	2		855.2.dl.a.127.8		96
5.2	odd	4		475.2.bb.b.393.1		96
5.3	odd	4	inner	95.2.r.a.13.8	yes	96
5.4	even	2		475.2.bb.b.32.8		96
15.8	even	4		855.2.dl.a.298.1		96
19.3	odd	18	inner	95.2.r.a.22.8	yes	96
57.41	even	18		855.2.dl.a.307.1		96
95.3	even	36	inner	95.2.r.a.3.1	✓	96
95.22	even	36		475.2.bb.b.193.8		96
95.79	odd	18		475.2.bb.b.307.1		96
285.98	odd	36		855.2.dl.a.478.8		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.r.a.3.1	✓	96	95.3	even	36	inner
95.2.r.a.13.8	yes	96	5.3	odd	4	inner
95.2.r.a.22.8	yes	96	19.3	odd	18	inner
95.2.r.a.32.1	yes	96	1.1	even	1	trivial
475.2.bb.b.32.8		96	5.4	even	2
475.2.bb.b.193.8		96	95.22	even	36
475.2.bb.b.307.1		96	95.79	odd	18
475.2.bb.b.393.1		96	5.2	odd	4
855.2.dl.a.127.8		96	3.2	odd	2
855.2.dl.a.298.1		96	15.8	even	4
855.2.dl.a.307.1		96	57.41	even	18
855.2.dl.a.478.8		96	285.98	odd	36

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:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.r (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.230116 + 2.63024i) q^{2} +(0.901235 + 1.93270i) q^{3} +(-4.89558 - 0.863222i) q^{4} +(1.62989 - 1.53084i) q^{5} +(-5.29086 + 1.92571i) q^{6} +(1.39789 - 0.374564i) q^{7} +(2.03032 - 7.57725i) q^{8} +(-0.994759 + 1.18551i) q^{9} +O(q^{10})\)	\(q+(-0.230116 + 2.63024i) q^{2} +(0.901235 + 1.93270i) q^{3} +(-4.89558 - 0.863222i) q^{4} +(1.62989 - 1.53084i) q^{5} +(-5.29086 + 1.92571i) q^{6} +(1.39789 - 0.374564i) q^{7} +(2.03032 - 7.57725i) q^{8} +(-0.994759 + 1.18551i) q^{9} +(3.65140 + 4.63926i) q^{10} +(-1.68860 - 2.92474i) q^{11} +(-2.74371 - 10.2397i) q^{12} +(0.684981 + 0.319412i) q^{13} +(0.663514 + 3.76298i) q^{14} +(4.42757 + 1.77045i) q^{15} +(10.1201 + 3.68343i) q^{16} +(-6.75209 - 0.590731i) q^{17} +(-2.88925 - 2.88925i) q^{18} +(-2.24171 + 3.73828i) q^{19} +(-9.30070 + 6.08737i) q^{20} +(1.98375 + 2.36414i) q^{21} +(8.08133 - 3.76839i) q^{22} +(2.57360 + 3.67548i) q^{23} +(16.4744 - 2.90488i) q^{24} +(0.313075 - 4.99019i) q^{25} +(-0.997754 + 1.72816i) q^{26} +(2.99177 + 0.801643i) q^{27} +(-7.16681 + 0.627015i) q^{28} +(-3.58414 - 3.00745i) q^{29} +(-5.67555 + 11.2381i) q^{30} +(1.72187 + 0.994122i) q^{31} +(-5.38660 + 11.5516i) q^{32} +(4.13083 - 5.89944i) q^{33} +(3.10753 - 17.6237i) q^{34} +(1.70501 - 2.75044i) q^{35} +(5.89327 - 4.94504i) q^{36} +(0.734749 - 0.734749i) q^{37} +(-9.31671 - 6.75646i) q^{38} +1.61173i q^{39} +(-8.29034 - 15.4582i) q^{40} +(1.16605 - 3.20371i) q^{41} +(-6.67474 + 4.67370i) q^{42} +(3.97517 + 2.78344i) q^{43} +(5.74197 + 15.7759i) q^{44} +(0.193472 + 3.45506i) q^{45} +(-10.2596 + 5.92339i) q^{46} +(-0.167214 - 1.91127i) q^{47} +(2.00164 + 22.8789i) q^{48} +(-4.24838 + 2.45280i) q^{49} +(13.0533 + 1.97178i) q^{50} +(-4.94351 - 13.5822i) q^{51} +(-3.07765 - 2.15500i) q^{52} +(-5.79760 + 4.05952i) q^{53} +(-2.79697 + 7.68460i) q^{54} +(-7.22953 - 2.18203i) q^{55} -11.3526i q^{56} +(-9.24530 - 0.963486i) q^{57} +(8.73507 - 8.73507i) q^{58} +(-2.22918 + 1.87050i) q^{59} +(-20.1472 - 12.4893i) q^{60} +(0.606854 - 3.44164i) q^{61} +(-3.01101 + 4.30016i) q^{62} +(-0.946516 + 2.02981i) q^{63} +(-10.4904 - 6.05662i) q^{64} +(1.60541 - 0.527988i) q^{65} +(14.5664 + 12.2226i) q^{66} +(9.29307 - 0.813038i) q^{67} +(32.5454 + 8.72052i) q^{68} +(-4.78420 + 8.28647i) q^{69} +(6.84196 + 5.11750i) q^{70} +(-5.95949 + 1.05082i) q^{71} +(6.96321 + 9.94449i) q^{72} +(3.49860 - 1.63142i) q^{73} +(1.76349 + 2.10164i) q^{74} +(9.92671 - 3.89225i) q^{75} +(14.2014 - 16.3660i) q^{76} +(-3.45598 - 3.45598i) q^{77} +(-4.23923 - 0.370885i) q^{78} +(1.57829 + 0.574450i) q^{79} +(22.1334 - 9.48871i) q^{80} +(1.95315 + 11.0769i) q^{81} +(8.15818 + 3.80422i) q^{82} +(-2.44090 - 9.10957i) q^{83} +(-7.67081 - 13.2862i) q^{84} +(-11.9095 + 9.37352i) q^{85} +(-8.23587 + 9.81513i) q^{86} +(2.58236 - 9.63749i) q^{87} +(-25.5899 + 6.85679i) q^{88} +(11.5392 - 4.19992i) q^{89} +(-9.13214 - 0.286186i) q^{90} +(1.07717 + 0.189934i) q^{91} +(-9.42649 - 20.2152i) q^{92} +(-0.369535 + 4.22380i) q^{93} +5.06557 q^{94} +(2.06897 + 9.52467i) q^{95} -27.1804 q^{96} +(-1.43923 + 16.4505i) q^{97} +(-5.47383 - 11.7387i) q^{98} +(5.14705 + 0.907563i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8}+O(q^{10}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26} - 18 q^{27} - 6 q^{30} - 36 q^{31} + 18 q^{32} + 90 q^{33} - 30 q^{35} + 24 q^{36} + 54 q^{38} + 54 q^{40} + 12 q^{41} + 24 q^{42} + 48 q^{43} + 12 q^{45} - 36 q^{46} - 24 q^{47} + 60 q^{48} + 126 q^{50} - 96 q^{51} - 30 q^{53} + 18 q^{55} - 66 q^{57} + 120 q^{58} + 84 q^{60} - 48 q^{61} + 60 q^{62} - 126 q^{63} + 72 q^{65} + 72 q^{66} + 108 q^{67} + 18 q^{68} + 36 q^{70} - 24 q^{71} + 48 q^{72} + 6 q^{73} + 60 q^{76} + 168 q^{77} - 138 q^{78} - 60 q^{80} - 120 q^{81} + 60 q^{82} - 36 q^{85} - 180 q^{86} - 6 q^{87} - 198 q^{88} - 270 q^{90} - 24 q^{91} - 72 q^{92} - 90 q^{93} - 24 q^{95} - 192 q^{96} - 72 q^{97} - 90 q^{98}+O(q^{100}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Introduction

L-functions

Modular forms

Varieties

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