LMFDB - Embedded newform 99.2.p.a.41.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [99,2,Mod(2,99)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(99, base_ring=CyclotomicField(30))

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

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

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

chi := DirichletCharacter("99.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.p (of order $30$, degree $8$, 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:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			41.6
Character	$\chi$	$=$	99.41
Dual form			99.2.p.a.29.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.337994 + 0.150485i) q^{2} +(-1.17234 - 1.27500i) q^{3} +(-1.24667 - 1.38456i) q^{4} +(-0.966595 - 2.17101i) q^{5} +(-0.204377 - 0.607361i) q^{6} +(0.327889 + 1.54259i) q^{7} +(-0.441671 - 1.35932i) q^{8} +(-0.251238 + 2.98946i) q^{9} -0.879247i q^{10} +(2.12913 - 2.54299i) q^{11} +(-0.303798 + 3.21268i) q^{12} +(6.09571 - 0.640685i) q^{13} +(-0.121313 + 0.570731i) q^{14} +(-1.63485 + 3.77757i) q^{15} +(-0.334222 + 3.17991i) q^{16} +(-0.887473 - 0.644787i) q^{17} +(-0.534786 + 0.972614i) q^{18} +(-0.534855 + 0.173785i) q^{19} +(-1.80088 + 4.04484i) q^{20} +(1.58241 - 2.22650i) q^{21} +(1.10232 - 0.539115i) q^{22} +(-4.81854 - 2.78199i) q^{23} +(-1.21535 + 2.15672i) q^{24} +(-0.433320 + 0.481251i) q^{25} +(2.15673 + 0.700764i) q^{26} +(4.10609 - 3.18434i) q^{27} +(1.72705 - 2.37708i) q^{28} +(-0.726096 + 0.154337i) q^{29} +(-1.12104 + 1.03078i) q^{30} +(0.661384 + 6.29265i) q^{31} +(-2.02077 + 3.50008i) q^{32} +(-5.73837 + 0.266612i) q^{33} +(-0.202930 - 0.351486i) q^{34} +(3.03205 - 2.20291i) q^{35} +(4.45231 - 3.37901i) q^{36} +(1.32443 - 4.07617i) q^{37} +(-0.206930 - 0.0217492i) q^{38} +(-7.96311 - 7.02091i) q^{39} +(-2.52419 + 2.27279i) q^{40} +(11.8871 + 2.52669i) q^{41} +(0.869900 - 0.514417i) q^{42} +(-7.35471 + 4.24624i) q^{43} +(-6.17525 + 0.222344i) q^{44} +(6.73299 - 2.34416i) q^{45} +(-1.20999 - 1.66541i) q^{46} +(0.571919 + 0.514959i) q^{47} +(4.44619 - 3.30180i) q^{48} +(4.12273 - 1.83556i) q^{49} +(-0.218881 + 0.0974520i) q^{50} +(0.218318 + 1.88744i) q^{51} +(-8.48639 - 7.64118i) q^{52} +(2.66042 + 3.66175i) q^{53} +(1.86703 - 0.458383i) q^{54} +(-7.57886 - 2.16432i) q^{55} +(1.95207 - 1.12703i) q^{56} +(0.848607 + 0.478204i) q^{57} +(-0.268642 - 0.0571016i) q^{58} +(-0.00834859 + 0.00751710i) q^{59} +(7.26840 - 2.44581i) q^{60} +(5.69949 + 0.599041i) q^{61} +(-0.723404 + 2.22641i) q^{62} +(-4.69390 + 0.592651i) q^{63} +(3.96382 - 2.87988i) q^{64} +(-7.28302 - 12.6146i) q^{65} +(-1.97966 - 0.773425i) q^{66} +(-0.738332 + 1.27883i) q^{67} +(0.213635 + 2.03260i) q^{68} +(2.10194 + 9.40507i) q^{69} +(1.35632 - 0.288295i) q^{70} +(-4.89992 + 6.74417i) q^{71} +(4.17461 - 0.978845i) q^{72} +(-14.9894 - 4.87035i) q^{73} +(1.06105 - 1.17842i) q^{74} +(1.12159 - 0.0117073i) q^{75} +(0.907402 + 0.523889i) q^{76} +(4.62092 + 2.45057i) q^{77} +(-1.63495 - 3.57136i) q^{78} +(1.29393 - 2.90621i) q^{79} +(7.22666 - 2.34809i) q^{80} +(-8.87376 - 1.50213i) q^{81} +(3.63756 + 2.64284i) q^{82} +(-1.08533 + 10.3262i) q^{83} +(-5.05547 + 0.584762i) q^{84} +(-0.542011 + 2.54996i) q^{85} +(-3.12484 + 0.328434i) q^{86} +(1.04801 + 0.744836i) q^{87} +(-4.39713 - 1.77101i) q^{88} +9.01115i q^{89} +(2.62847 + 0.220901i) q^{90} +(2.98703 + 9.19313i) q^{91} +(2.15528 + 10.1398i) q^{92} +(7.24775 - 8.22039i) q^{93} +(0.115812 + 0.260118i) q^{94} +(0.894277 + 0.993195i) q^{95} +(6.83162 - 1.52680i) q^{96} +(5.06083 + 2.25323i) q^{97} +1.66968 q^{98} +(7.06725 + 7.00385i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) $ 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.337994	+	0.150485i	0.238998	+	0.106409i	0.522741	−	0.852492i	$-0.324910\pi$
$2$	0.337994	+	0.150485i	0.238998	+	0.106409i	−0.283743	+	0.958900i	$0.591576\pi$
$3$	−1.17234	−	1.27500i	−0.676851	−	0.736120i
$3$	−1.17234	−	1.27500i	−0.676851	−	0.736120i
$4$	−1.24667	−	1.38456i	−0.623333	−	0.692282i
$5$	−0.966595	−	2.17101i	−0.432275	−	0.970905i	−0.990024	−	0.140896i	$-0.955002\pi$
$5$	−0.966595	−	2.17101i	−0.432275	−	0.970905i	0.557750	−	0.830009i	$-0.311665\pi$
$6$	−0.204377	−	0.607361i	−0.0834364	−	0.247954i
$7$	0.327889	+	1.54259i	0.123930	+	0.583046i	0.995661	+	0.0930598i	$0.0296648\pi$
$7$	0.327889	+	1.54259i	0.123930	+	0.583046i	−0.871730	+	0.489986i	$0.837002\pi$
$8$	−0.441671	−	1.35932i	−0.156154	−	0.480594i
$9$	−0.251238	+	2.98946i	−0.0837461	+	0.996487i
$10$		−	0.879247i		−	0.278042i
$11$	2.12913	−	2.54299i	0.641957	−	0.766741i
$11$	2.12913	−	2.54299i	0.641957	−	0.766741i
$12$	−0.303798	+	3.21268i	−0.0876990	+	0.927420i
$13$	6.09571	−	0.640685i	1.69065	−	0.177694i	0.790255	−	0.612778i	$-0.209948\pi$
$13$	6.09571	−	0.640685i	1.69065	−	0.177694i	0.900390	+	0.435084i	$0.143281\pi$
$14$	−0.121313	+	0.570731i	−0.0324221	+	0.152534i
$15$	−1.63485	+	3.77757i	−0.422117	+	0.975364i
$16$	−0.334222	+	3.17991i	−0.0835554	+	0.794977i
$17$	−0.887473	−	0.644787i	−0.215244	−	0.156384i	0.474939	−	0.880019i	$-0.342470\pi$
$17$	−0.887473	−	0.644787i	−0.215244	−	0.156384i	−0.690183	+	0.723635i	$0.742470\pi$
$18$	−0.534786	+	0.972614i	−0.126050	+	0.229247i
$19$	−0.534855	+	0.173785i	−0.122704	+	0.0398690i	−0.369725	−	0.929141i	$-0.620548\pi$
$19$	−0.534855	+	0.173785i	−0.122704	+	0.0398690i	0.247021	+	0.969010i	$0.420548\pi$
$20$	−1.80088	+	4.04484i	−0.402688	+	0.904453i
$21$	1.58241	−	2.22650i	0.345310	−	0.485863i
$22$	1.10232	−	0.539115i	0.235015	−	0.114940i
$23$	−4.81854	−	2.78199i	−1.00474	−	0.580085i	−0.0950898	−	0.995469i	$-0.530314\pi$
$23$	−4.81854	−	2.78199i	−1.00474	−	0.580085i	−0.909646	+	0.415384i	$0.863647\pi$
$24$	−1.21535	+	2.15672i	−0.248082	+	0.440239i
$25$	−0.433320	+	0.481251i	−0.0866641	+	0.0962502i
$26$	2.15673	+	0.700764i	0.422969	+	0.137431i
$27$	4.10609	−	3.18434i	0.790218	−	0.612826i
$28$	1.72705	−	2.37708i	0.326382	−	0.449227i
$29$	−0.726096	+	0.154337i	−0.134833	+	0.0286596i	−0.274834	−	0.961492i	$-0.588623\pi$
$29$	−0.726096	+	0.154337i	−0.134833	+	0.0286596i	0.140001	+	0.990151i	$0.455289\pi$
$30$	−1.12104	+	1.03078i	−0.204673	+	0.188193i
$31$	0.661384	+	6.29265i	0.118788	+	1.13019i	0.877770	+	0.479082i	$0.159030\pi$
$31$	0.661384	+	6.29265i	0.118788	+	1.13019i	−0.758982	+	0.651111i	$0.774303\pi$
$32$	−2.02077	+	3.50008i	−0.357225	+	0.618732i
$33$	−5.73837	+	0.266612i	−0.998922	+	0.0464112i
$34$	−0.202930	−	0.351486i	−0.0348023	−	0.0602793i
$35$	3.03205	−	2.20291i	0.512510	−	0.372360i
$36$	4.45231	−	3.37901i	0.742052	−	0.563168i
$37$	1.32443	−	4.07617i	0.217735	−	0.670118i	−0.781214	−	0.624264i	$-0.785399\pi$
$37$	1.32443	−	4.07617i	0.217735	−	0.670118i	0.998948	−	0.0458543i	$-0.0146010\pi$
$38$	−0.206930	−	0.0217492i	−0.0335685	−	0.00352819i
$39$	−7.96311	−	7.02091i	−1.27512	−	1.12425i
$40$	−2.52419	+	2.27279i	−0.399109	+	0.359360i
$41$	11.8871	+	2.52669i	1.85646	+	0.394603i	0.993800	−	0.111181i	$-0.0354634\pi$
$41$	11.8871	+	2.52669i	1.85646	+	0.394603i	0.862660	+	0.505784i	$0.168797\pi$
$42$	0.869900	−	0.514417i	0.134228	−	0.0793763i
$43$	−7.35471	+	4.24624i	−1.12158	+	0.647546i	−0.941804	−	0.336162i	$-0.890871\pi$
$43$	−7.35471	+	4.24624i	−1.12158	+	0.647546i	−0.179778	+	0.983707i	$0.557538\pi$
$44$	−6.17525	+	0.222344i	−0.930954	+	0.0335197i
$45$	6.73299	−	2.34416i	1.00370	−	0.349447i
$46$	−1.20999	−	1.66541i	−0.178404	−	0.245552i
$47$	0.571919	+	0.514959i	0.0834230	+	0.0751144i	0.709787	−	0.704416i	$-0.248791\pi$
$47$	0.571919	+	0.514959i	0.0834230	+	0.0751144i	−0.626364	+	0.779531i	$0.715458\pi$
$48$	4.44619	−	3.30180i	0.641753	−	0.476574i
$49$	4.12273	−	1.83556i	0.588962	−	0.262223i
$50$	−0.218881	+	0.0974520i	−0.0309544	+	0.0137818i
$51$	0.218318	+	1.88744i	0.0305707	+	0.264294i
$52$	−8.48639	−	7.64118i	−1.17685	−	1.05964i
$53$	2.66042	+	3.66175i	0.365437	+	0.502981i	0.951653	−	0.307174i	$-0.0993833\pi$
$53$	2.66042	+	3.66175i	0.365437	+	0.502981i	−0.586217	+	0.810154i	$0.699383\pi$
$54$	1.86703	−	0.458383i	0.254071	−	0.0623781i
$55$	−7.57886	−	2.16432i	−1.02193	−	0.291837i
$56$	1.95207	−	1.12703i	0.260856	−	0.150605i
$57$	0.848607	+	0.478204i	0.112401	+	0.0633396i
$58$	−0.268642	−	0.0571016i	−0.0352744	−	0.00749780i
$59$	−0.00834859	+	0.00751710i	−0.00108689	+	0.000978643i	−0.669674	−	0.742655i	$-0.733566\pi$
$59$	−0.00834859	+	0.00751710i	−0.00108689	+	0.000978643i	0.668587	+	0.743634i	$0.266899\pi$
$60$	7.26840	−	2.44581i	0.938346	−	0.315753i
$61$	5.69949	+	0.599041i	0.729745	+	0.0766993i	0.462112	−	0.886822i	$-0.347092\pi$
$61$	5.69949	+	0.599041i	0.729745	+	0.0766993i	0.267633	+	0.963521i	$0.413759\pi$
$62$	−0.723404	+	2.22641i	−0.0918724	+	0.282754i
$63$	−4.69390	+	0.592651i	−0.591376	+	0.0746670i
$64$	3.96382	−	2.87988i	0.495477	−	0.359985i
$65$	−7.28302	−	12.6146i	−0.903347	−	1.56464i
$66$	−1.97966	−	0.773425i	−0.243679	−	0.0952020i
$67$	−0.738332	+	1.27883i	−0.0902017	+	0.156234i	−0.907596	−	0.419845i	$-0.862084\pi$
$67$	−0.738332	+	1.27883i	−0.0902017	+	0.156234i	0.817394	+	0.576079i	$0.195418\pi$
$68$	0.213635	+	2.03260i	0.0259070	+	0.246489i
$69$	2.10194	+	9.40507i	0.253044	+	1.13224i
$70$	1.35632	−	0.288295i	0.162111	−	0.0344578i
$71$	−4.89992	+	6.74417i	−0.581514	+	0.800385i	−0.993860	−	0.110642i	$-0.964709\pi$
$71$	−4.89992	+	6.74417i	−0.581514	+	0.800385i	0.412346	+	0.911027i	$0.364709\pi$
$72$	4.17461	−	0.978845i	0.491983	−	0.115358i
$73$	−14.9894	−	4.87035i	−1.75438	−	0.570031i	−0.757783	−	0.652507i	$-0.773717\pi$
$73$	−14.9894	−	4.87035i	−1.75438	−	0.570031i	−0.996593	+	0.0824752i	$0.973717\pi$
$74$	1.06105	−	1.17842i	0.123345	−	0.136988i
$75$	1.12159	−	0.0117073i	0.129510	−	0.00135184i
$76$	0.907402	+	0.523889i	0.104086	+	0.0600941i
$77$	4.62092	+	2.45057i	0.526603	+	0.279268i
$78$	−1.63495	−	3.57136i	−0.185121	−	0.404377i
$79$	1.29393	−	2.90621i	0.145578	−	0.326974i	−0.826008	−	0.563658i	$-0.809394\pi$
$79$	1.29393	−	2.90621i	0.145578	−	0.326974i	0.971587	+	0.236683i	$0.0760604\pi$
$80$	7.22666	−	2.34809i	0.807965	−	0.262524i
$81$	−8.87376	−	1.50213i	−0.985973	−	0.166904i
$82$	3.63756	+	2.64284i	0.401701	+	0.291853i
$83$	−1.08533	+	10.3262i	−0.119131	+	1.13345i	0.757683	+	0.652623i	$0.226331\pi$
$83$	−1.08533	+	10.3262i	−0.119131	+	1.13345i	−0.876814	+	0.480830i	$0.840335\pi$
$84$	−5.05547	+	0.584762i	−0.551597	+	0.0638028i
$85$	−0.542011	+	2.54996i	−0.0587893	+	0.276582i
$86$	−3.12484	+	0.328434i	−0.336961	+	0.0354160i
$87$	1.04801	+	0.744836i	0.112358	+	0.0798548i
$88$	−4.39713	−	1.77101i	−0.468735	−	0.188791i
$89$			9.01115i			0.955180i	0.878583	+	0.477590i	$0.158489\pi$
$89$			9.01115i			0.955180i	−0.878583	+	0.477590i	$0.841511\pi$
$90$	2.62847	+	0.220901i	0.277066	+	0.0232850i
$91$	2.98703	+	9.19313i	0.313126	+	0.963702i
$92$	2.15528	+	10.1398i	0.224703	+	1.05715i
$93$	7.24775	−	8.22039i	0.751556	−	0.852414i
$94$	0.115812	+	0.260118i	0.0119451	+	0.0268292i
$95$	0.894277	+	0.993195i	0.0917508	+	0.101900i
$96$	6.83162	−	1.52680i	0.697250	−	0.155829i
$97$	5.06083	+	2.25323i	0.513849	+	0.228781i	0.647245	−	0.762282i	$-0.275921\pi$
$97$	5.06083	+	2.25323i	0.513849	+	0.228781i	−0.133395	+	0.991063i	$0.542588\pi$
$98$	1.66968			0.168664
$99$	7.06725	+	7.00385i	0.710286	+	0.703914i
$100$	1.20653			0.120653
$101$	8.89337	+	3.95958i	0.884924	+	0.393993i	0.798309	−	0.602248i	$-0.205728\pi$
$101$	8.89337	+	3.95958i	0.884924	+	0.393993i	0.0866149	+	0.996242i	$0.472395\pi$
$102$	−0.210240	+	0.670796i	−0.0208169	+	0.0664187i
$103$	1.26663	+	1.40674i	0.124805	+	0.138610i	0.802309	−	0.596910i	$-0.203605\pi$
$103$	1.26663	+	1.40674i	0.124805	+	0.138610i	−0.677504	+	0.735519i	$0.736938\pi$
$104$	−3.56320	−	8.00308i	−0.349400	−	0.784766i
$105$	−6.36330	−	1.28329i	−0.620995	−	0.125237i
$106$	0.348169	+	1.63801i	0.0338171	+	0.159097i
$107$	−3.79203	−	11.6707i	−0.366590	−	1.12825i	−0.948980	−	0.315337i	$-0.897882\pi$
$107$	−3.79203	−	11.6707i	−0.366590	−	1.12825i	0.582390	−	0.812910i	$-0.302118\pi$
$108$	−9.52785	−	1.71534i	−0.916817	−	0.165059i
$109$			8.79322i			0.842238i	0.907005	+	0.421119i	$0.138362\pi$
$109$			8.79322i			0.842238i	−0.907005	+	0.421119i	$0.861638\pi$
$110$	−2.23592	−	1.87203i	−0.213186	−	0.178491i
$111$	−6.74979	+	3.09001i	−0.640661	+	0.293291i
$112$	−5.01489	+	0.527087i	−0.473863	+	0.0498050i
$113$	−0.00964498	+	0.0453760i	−0.000907323	+	0.00426862i	−0.978599	−	0.205777i	$-0.934028\pi$
$113$	−0.00964498	+	0.0453760i	−0.000907323	+	0.00426862i	0.977692	+	0.210046i	$0.0673612\pi$
$114$	0.214862	+	0.289333i	0.0201237	+	0.0270985i
$115$	−1.38214	+	13.1502i	−0.128885	+	1.22626i
$116$	1.11889	+	0.812920i	0.103886	+	0.0754777i
$117$	0.383826	+	18.3838i	0.0354848	+	1.69959i
$118$	−0.00395298	+	0.00128440i	−0.000363902	+	0.000118239i
$119$	0.703652	−	1.58043i	0.0645037	−	0.144878i
$120$	5.85701	+	0.553853i	0.534669	+	0.0505596i
$121$	−1.93360	−	10.8287i	−0.175782	−	0.984429i
$122$	1.83625	+	1.06016i	0.166246	+	0.0959823i
$123$	−10.7143	−	18.1182i	−0.966071	−	1.63367i
$124$	7.88805	−	8.76056i	0.708368	−	0.786722i
$125$	−9.83712	−	3.19627i	−0.879859	−	0.285883i
$126$	−1.67570	−	0.506049i	−0.149283	−	0.0450824i
$127$	3.88014	−	5.34055i	0.344307	−	0.473898i	−0.601386	−	0.798958i	$-0.705385\pi$
$127$	3.88014	−	5.34055i	0.344307	−	0.473898i	0.945693	+	0.325061i	$0.105385\pi$
$128$	9.67958	−	2.05746i	0.855562	−	0.181855i
$129$	14.0362	+	4.39919i	1.23582	+	0.387327i
$130$	−0.563320	−	5.35963i	−0.0494064	−	0.470071i
$131$	3.94169	−	6.82720i	0.344387	−	0.596495i	−0.640855	−	0.767662i	$-0.721420\pi$
$131$	3.94169	−	6.82720i	0.344387	−	0.596495i	0.985242	+	0.171166i	$0.0547536\pi$
$132$	7.52298	+	7.61277i	0.654791	+	0.662606i
$133$	−0.443452	−	0.768082i	−0.0384522	−	0.0666011i
$134$	−0.441997	+	0.321129i	−0.0381827	+	0.0277414i
$135$	−10.8822	−	5.83640i	−0.936587	−	0.502317i
$136$	−0.484503	+	1.49115i	−0.0415458	+	0.127865i
$137$	−17.5613	−	1.84577i	−1.50036	−	0.157695i	−0.681558	−	0.731764i	$-0.738697\pi$
$137$	−17.5613	−	1.84577i	−1.50036	−	0.157695i	−0.818806	+	0.574070i	$0.805364\pi$
$138$	−0.704875	+	3.49517i	−0.0600029	+	0.297529i
$139$	10.4649	−	9.42265i	0.887622	−	0.799219i	−0.0928899	−	0.995676i	$-0.529610\pi$
$139$	10.4649	−	9.42265i	0.887622	−	0.799219i	0.980512	+	0.196458i	$0.0629438\pi$
$140$	−6.83003	−	1.45177i	−0.577243	−	0.122697i
$141$	−0.0139130	−	1.33290i	−0.00117168	−	0.112251i
$142$	−2.67104	+	1.54213i	−0.224149	+	0.129412i
$143$	11.3493	−	16.8654i	0.949077	−	1.41036i
$144$	−9.42224	−	1.79806i	−0.785187	−	0.149838i
$145$	1.03691	+	1.42718i	0.0861105	+	0.118521i
$146$	−4.33342	−	3.90183i	−0.358636	−	0.322918i
$147$	−7.17358	−	3.10458i	−0.591667	−	0.256061i
$148$	−7.29484	+	3.24787i	−0.599632	+	0.266973i
$149$	−13.0135	+	5.79399i	−1.06611	+	0.474662i	−0.863370	−	0.504571i	$-0.831651\pi$
$149$	−13.0135	+	5.79399i	−1.06611	+	0.474662i	−0.202738	+	0.979233i	$0.564984\pi$
$150$	0.380854	+	0.164826i	0.0310966	+	0.0134580i
$151$	1.91451	+	1.72383i	0.155801	+	0.140284i	0.743345	−	0.668909i	$-0.233238\pi$
$151$	1.91451	+	1.72383i	0.155801	+	0.140284i	−0.587544	+	0.809192i	$0.699905\pi$
$152$	0.472460	+	0.650285i	0.0383216	+	0.0527451i
$153$	2.15053	−	2.49107i	0.173860	−	0.201391i
$154$	1.19307	+	1.52366i	0.0961405	+	0.122780i
$155$	13.0221	−	7.51832i	1.04596	−	0.603886i
$156$	0.206446	+	19.7782i	0.0165289	+	1.58352i
$157$	−5.56928	−	1.18379i	−0.444477	−	0.0944766i	−0.0197644	−	0.999805i	$-0.506292\pi$
$157$	−5.56928	−	1.18379i	−0.444477	−	0.0944766i	−0.424713	+	0.905328i	$0.639625\pi$
$158$	0.874682	−	0.787567i	0.0695859	−	0.0626555i
$159$	1.54981	−	7.68485i	0.122908	−	0.609448i
$160$	9.55197	+	1.00395i	0.755150	+	0.0793694i
$161$	2.71153	−	8.34524i	0.213699	−	0.657697i
$162$	−2.77323	−	1.84308i	−0.217886	−	0.144806i
$163$	6.92500	−	5.03131i	0.542408	−	0.394083i	−0.282570	−	0.959247i	$-0.591187\pi$
$163$	6.92500	−	5.03131i	0.542408	−	0.394083i	0.824979	+	0.565164i	$0.191187\pi$
$164$	−11.3209	−	19.6085i	−0.884017	−	1.53116i
$165$	6.12550	+	12.2004i	0.476870	+	0.949796i
$166$	−1.92078	+	3.32689i	−0.149081	+	0.258217i
$167$	−0.318847	−	3.03363i	−0.0246731	−	0.234749i	−0.999908	−	0.0135767i	$-0.995678\pi$
$167$	−0.318847	−	3.03363i	−0.0246731	−	0.234749i	0.975235	−	0.221173i	$-0.0709884\pi$
$168$	−3.72544	−	1.16762i	−0.287424	−	0.0900841i
$169$	24.0313	−	5.10800i	1.84856	−	0.392923i
$170$	−0.566927	+	0.780308i	−0.0434813	+	0.0598469i
$171$	−0.385147	−	1.64259i	−0.0294529	−	0.125612i
$172$	15.0481	+	4.88941i	1.14740	+	0.372814i
$173$	−7.61135	+	8.45326i	−0.578680	+	0.642690i	−0.959416	−	0.281994i	$-0.909004\pi$
$173$	−7.61135	+	8.45326i	−0.578680	+	0.642690i	0.380736	+	0.924684i	$0.375671\pi$
$174$	0.242135	+	0.409460i	0.0183562	+	0.0310411i
$175$	−0.884456	−	0.510641i	−0.0668586	−	0.0386008i
$176$	7.37487	+	7.62036i	0.555902	+	0.574406i
$177$	0.0193717	+	0.00183183i	0.00145606	+	0.000137689i
$178$	−1.35604	+	3.04572i	−0.101640	+	0.228286i
$179$	−10.1952	+	3.31261i	−0.762023	+	0.247596i	−0.664147	−	0.747602i	$-0.731205\pi$
$179$	−10.1952	+	3.31261i	−0.762023	+	0.247596i	−0.0978766	+	0.995199i	$0.531205\pi$
$180$	−11.6394	−	6.39987i	−0.867552	−	0.477018i
$181$	14.3857	+	10.4518i	1.06928	+	0.776879i	0.975783	−	0.218741i	$-0.0701949\pi$
$181$	14.3857	+	10.4518i	1.06928	+	0.776879i	0.0934987	+	0.995619i	$0.470195\pi$
$182$	−0.373827	+	3.55673i	−0.0277099	+	0.263642i
$183$	−5.91796	−	7.96912i	−0.437469	−	0.589094i
$184$	−1.65341	+	7.77869i	−0.121891	+	0.573453i
$185$	−10.1296	+	1.06466i	−0.744742	+	0.0782756i
$186$	3.68674	−	1.68777i	0.270325	−	0.123753i
$187$	−3.52923	+	0.884000i	−0.258083	+	0.0646445i
$188$		−	1.43384i		−	0.104574i
$189$	6.25848	+	5.28993i	0.455237	+	0.384786i
$190$	0.152800	+	0.470269i	0.0110853	+	0.0341169i
$191$	4.25097	+	19.9992i	0.307589	+	1.44709i	0.812014	+	0.583638i	$0.198371\pi$
$191$	4.25097	+	19.9992i	0.307589	+	1.44709i	−0.504425	+	0.863456i	$0.668295\pi$
$192$	−8.31879	−	1.67766i	−0.600357	−	0.121075i
$193$	−6.21457	−	13.9581i	−0.447334	−	1.00473i	−0.986684	−	0.162648i	$-0.947997\pi$
$193$	−6.21457	−	13.9581i	−0.447334	−	1.00473i	0.539350	−	0.842082i	$-0.318670\pi$
$194$	1.37146	+	1.52316i	0.0984648	+	0.109356i
$195$	−7.54536	+	24.0744i	−0.540334	+	1.72400i
$196$	−7.68112	−	3.41985i	−0.548651	−	0.244275i
$197$	13.1024			0.933507			0.466754	−	0.884387i	$-0.345424\pi$
$197$	13.1024			0.933507			0.466754	+	0.884387i	$0.345424\pi$
$198$	1.33472	+	3.43078i	0.0948543	+	0.243815i
$199$	−4.72311			−0.334812			−0.167406	−	0.985888i	$-0.553539\pi$
$199$	−4.72311			−0.334812			−0.167406	+	0.985888i	$0.553539\pi$
$200$	0.845562	+	0.376468i	0.0597902	+	0.0266203i
$201$	2.49608	−	0.557850i	0.176060	−	0.0393477i
$202$	2.41005	+	2.67663i	0.169571	+	0.188327i
$203$	−0.476157	−	1.06947i	−0.0334197	−	0.0750618i
$204$	2.34110	−	2.65528i	0.163910	−	0.185907i
$205$	−6.00459	−	28.2494i	−0.419379	−	1.97302i
$206$	0.216422	+	0.666078i	0.0150788	+	0.0464078i
$207$	9.52725	−	13.7059i	0.662189	−	0.952627i
$208$			19.5979i			1.35887i
$209$	−0.696843	+	1.73014i	−0.0482016	+	0.119676i
$210$	−1.95765	−	1.39133i	−0.135090	−	0.0960107i
$211$	−19.4298	+	2.04215i	−1.33760	+	0.140588i	−0.746164	−	0.665762i	$-0.768107\pi$
$211$	−19.4298	+	2.04215i	−1.33760	+	0.140588i	−0.591439	+	0.806350i	$0.701440\pi$
$212$	1.75327	−	8.24851i	0.120415	−	0.566510i
$213$	14.3432	−	1.65906i	0.982778	−	0.113677i
$214$	0.474574	−	4.51527i	0.0324412	−	0.308657i
$215$	16.3277	+	11.8627i	1.11354	+	0.809032i
$216$	−6.14209	−	4.17508i	−0.417916	−	0.284078i
$217$	−9.49015	+	3.08354i	−0.644233	+	0.209324i
$218$	−1.32325	+	2.97206i	−0.0896215	+	0.201293i
$219$	11.3630	+	24.8212i	0.767839	+	1.67726i
$220$	6.45168	+	13.1916i	0.434972	+	0.889378i
$221$	−5.82288	−	3.36184i	−0.391689	−	0.226142i
$222$	−2.74639	+	0.0286671i	−0.184326	+	0.00192401i
$223$	−10.9936	+	12.2097i	−0.736188	+	0.817620i	−0.988689	−	0.149977i	$-0.952080\pi$
$223$	−10.9936	+	12.2097i	−0.736188	+	0.817620i	0.252502	+	0.967596i	$0.418747\pi$
$224$	−6.06179	−	1.96959i	−0.405020	−	0.131599i
$225$	−1.32981	−	1.41630i	−0.0886543	−	0.0944202i
$226$	−0.0100884	+	0.0138854i	−0.000671067	+	0.000923645i
$227$	26.5714	−	5.64793i	1.76361	−	0.374866i	0.791824	−	0.610749i	$-0.209131\pi$
$227$	26.5714	−	5.64793i	1.76361	−	0.374866i	0.971781	+	0.235883i	$0.0757982\pi$
$228$	−0.395826	−	1.77111i	−0.0262142	−	0.117295i
$229$	0.453169	+	4.31161i	0.0299462	+	0.284919i	0.999239	+	0.0390091i	$0.0124201\pi$
$229$	0.453169	+	4.31161i	0.0299462	+	0.284919i	−0.969293	+	0.245910i	$0.920913\pi$
$230$	−2.44605	+	4.23669i	−0.161288	+	0.279359i
$231$	−2.29282	−	8.76456i	−0.150857	−	0.576666i
$232$	0.530489	+	0.918835i	0.0348283	+	0.0603244i
$233$	−9.48697	+	6.89268i	−0.621512	+	0.451555i	−0.853449	−	0.521176i	$-0.825494\pi$
$233$	−9.48697	+	6.89268i	−0.621512	+	0.451555i	0.231937	+	0.972731i	$0.425494\pi$
$234$	−2.63676	+	6.27140i	−0.172370	+	0.409974i
$235$	0.565165	−	1.73940i	0.0368673	−	0.113466i
$236$	0.0208158	+	0.00218783i	0.00135499	+	0.000142416i
$237$	−5.22234	+	1.75731i	−0.339227	+	0.114150i
$238$	0.475661	−	0.428287i	0.0308325	−	0.0277617i
$239$	17.5498	+	3.73031i	1.13520	+	0.241294i	0.736926	−	0.675973i	$-0.236276\pi$
$239$	17.5498	+	3.73031i	1.13520	+	0.241294i	0.398273	+	0.917267i	$0.369610\pi$
$240$	−11.4659	−	6.46122i	−0.740121	−	0.417070i
$241$	−2.31388	+	1.33592i	−0.149050	+	0.0860541i	−0.572670	−	0.819786i	$-0.694092\pi$
$241$	−2.31388	+	1.33592i	−0.149050	+	0.0860541i	0.423620	+	0.905840i	$0.360759\pi$
$242$	0.976011	−	3.95102i	0.0627404	−	0.253982i
$243$	8.48784	+	13.0750i	0.544495	+	0.838764i
$244$	−6.27595	−	8.63811i	−0.401777	−	0.552998i
$245$	−7.97003	−	7.17625i	−0.509186	−	0.458474i
$246$	−0.894839	−	7.73619i	−0.0570529	−	0.493242i
$247$	−3.14898	+	1.40201i	−0.200365	+	0.0892081i
$248$	8.26164	−	3.67832i	0.524615	−	0.233574i
$249$	14.4383	−	10.7221i	0.914992	−	0.679484i
$250$	−2.84390	−	2.56066i	−0.179864	−	0.161950i
$251$	−7.98861	−	10.9954i	−0.504237	−	0.694022i	0.478697	−	0.877980i	$-0.341109\pi$
$251$	−7.98861	−	10.9954i	−0.504237	−	0.694022i	−0.982934	+	0.183958i	$0.941109\pi$
$252$	6.67230	+	5.76017i	0.420315	+	0.362857i
$253$	−17.3339	+	6.33030i	−1.08977	+	0.397982i
$254$	2.11514	−	1.22118i	0.132716	−	0.0766234i
$255$	3.88661	−	2.29836i	0.243389	−	0.143929i
$256$	−6.00371	−	1.27613i	−0.375232	−	0.0797580i
$257$	3.53361	−	3.18168i	0.220421	−	0.198468i	−0.551521	−	0.834161i	$-0.685952\pi$
$257$	3.53361	−	3.18168i	0.220421	−	0.198468i	0.771942	+	0.635693i	$0.219286\pi$
$258$	4.08213	+	3.59913i	0.254142	+	0.224072i
$259$	6.72214	+	0.706526i	0.417694	+	0.0439014i
$260$	−8.38616	+	25.8099i	−0.520088	+	1.60066i
$261$	−0.278960	−	2.20941i	−0.0172672	−	0.136759i
$262$	2.35966	−	1.71439i	0.145780	−	0.105915i
$263$	9.26116	+	16.0408i	0.571067	+	0.989118i	0.996457	+	0.0841073i	$0.0268039\pi$
$263$	9.26116	+	16.0408i	0.571067	+	0.989118i	−0.425389	+	0.905010i	$0.639863\pi$
$264$	2.89689	+	7.68256i	0.178291	+	0.472829i
$265$	5.37815	−	9.31523i	0.330377	−	0.572230i
$266$	−0.0342997	−	0.326340i	−0.00210305	−	0.0200092i
$267$	11.4892	−	10.5641i	0.703127	−	0.646514i
$268$	2.69108	−	0.572006i	0.164384	−	0.0349408i
$269$	−12.6954	+	17.4737i	−0.774049	+	1.06539i	0.221864	+	0.975078i	$0.428786\pi$
$269$	−12.6954	+	17.4737i	−0.774049	+	1.06539i	−0.995914	+	0.0903100i	$0.971214\pi$
$270$	−2.79982	−	3.61027i	−0.170391	−	0.219714i
$271$	−0.869236	−	0.282432i	−0.0528023	−	0.0171565i	0.282497	−	0.959268i	$-0.408837\pi$
$271$	−0.869236	−	0.282432i	−0.0528023	−	0.0171565i	−0.335299	+	0.942112i	$0.608837\pi$
$272$	2.34697	−	2.60658i	0.142306	−	0.158047i
$273$	8.21941	−	14.5859i	0.497461	−	0.882781i
$274$	−5.65786	−	3.26657i	−0.341804	−	0.197341i
$275$	0.301221	+	2.12658i	0.0181643	+	0.128237i
$276$	10.4015	−	14.6353i	0.626096	−	0.880939i
$277$	6.02500	−	13.5324i	0.362007	−	0.813081i	−0.637098	−	0.770783i	$-0.719865\pi$
$277$	6.02500	−	13.5324i	0.362007	−	0.813081i	0.999105	−	0.0422984i	$-0.0134680\pi$
$278$	4.95505	−	1.60999i	0.297184	−	0.0965610i
$279$	−18.9778	+	0.396227i	−1.13617	+	0.0237215i
$280$	−4.33365	−	3.14858i	−0.258985	−	0.188164i
$281$	−0.192078	+	1.82750i	−0.0114584	+	0.109020i	−0.998756	−	0.0498615i	$-0.984122\pi$
$281$	−0.192078	+	1.82750i	−0.0114584	+	0.109020i	0.987298	+	0.158881i	$0.0507887\pi$
$282$	0.195879	−	0.452607i	0.0116644	−	0.0269524i
$283$	2.50950	−	11.8063i	0.149174	−	0.701810i	−0.838451	−	0.544977i	$-0.816538\pi$
$283$	2.50950	−	11.8063i	0.149174	−	0.701810i	0.987625	−	0.156833i	$-0.0501284\pi$
$284$	15.4463	−	1.62347i	0.916569	−	0.0963353i
$285$	0.217925	−	2.30456i	0.0129088	−	0.136510i
$286$	6.37399	−	3.99252i	0.376902	−	0.236083i
$287$			19.1655i			1.13130i
$288$	−9.95565	−	6.92037i	−0.586643	−	0.407787i
$289$	−4.88143	−	15.0235i	−0.287143	−	0.883735i
$290$	0.135700	+	0.638418i	0.00796857	+	0.0374892i
$291$	−3.06015	−	9.09409i	−0.179389	−	0.533105i
$292$	11.9435	+	26.8255i	0.698939	+	1.56984i
$293$	−11.4299	−	12.6942i	−0.667743	−	0.741604i	0.310155	−	0.950686i	$-0.399619\pi$
$293$	−11.4299	−	12.6942i	−0.667743	−	0.741604i	−0.977898	+	0.209082i	$0.932952\pi$
$294$	−1.95744	−	2.12884i	−0.114160	−	0.124157i
$295$	0.0243894	+	0.0108589i	0.00142001	+	0.000632227i
$296$	−6.12580			−0.356055
$297$	0.644673	−	17.2216i	0.0374077	−	0.999300i
$298$	−5.27040			−0.305306
$299$	−31.1548	−	13.8710i	−1.80173	−	0.802182i
$300$	−1.41446	−	1.53832i	−0.0816640	−	0.0888150i
$301$	−8.96175	−	9.95303i	−0.516547	−	0.573683i
$302$	0.387683	+	0.870751i	0.0223087	+	0.0501061i
$303$	−5.37759	−	15.9810i	−0.308935	−	0.918085i
$304$	−0.373859	−	1.75887i	−0.0214423	−	0.100878i
$305$	−4.20858	−	12.9527i	−0.240983	−	0.741668i
$306$	1.10174	−	0.518346i	0.0629821	−	0.0296318i
$307$		−	16.6906i		−	0.952585i	−0.879287	−	0.476293i	$-0.841980\pi$
$307$		−	16.6906i		−	0.952585i	0.879287	−	0.476293i	$-0.158020\pi$
$308$	−2.36778	−	9.45300i	−0.134917	−	0.538635i
$309$	0.308664	−	3.26413i	0.0175593	−	0.185690i
$310$	5.53279	−	0.581520i	0.314242	−	0.0330281i
$311$	−6.14285	+	28.8998i	−0.348329	+	1.63876i	0.360054	+	0.932932i	$0.382758\pi$
$311$	−6.14285	+	28.8998i	−0.348329	+	1.63876i	−0.708383	+	0.705828i	$0.750575\pi$
$312$	−6.02662	+	13.9254i	−0.341190	+	0.788370i
$313$	−1.68745	+	16.0551i	−0.0953806	+	0.907486i	0.837291	+	0.546758i	$0.184138\pi$
$313$	−1.68745	+	16.0551i	−0.0953806	+	0.907486i	−0.932671	+	0.360728i	$0.882528\pi$
$314$	−1.70424	−	1.23821i	−0.0961761	−	0.0698760i
$315$	5.82376	+	9.61765i	0.328132	+	0.541893i
$316$	−5.63693	+	1.83155i	−0.317102	+	0.103033i
$317$	3.41021	−	7.65946i	0.191536	−	0.430198i	−0.792093	−	0.610400i	$-0.791009\pi$
$317$	3.41021	−	7.65946i	0.191536	−	0.430198i	0.983630	+	0.180202i	$0.0576753\pi$
$318$	1.68028	−	2.36421i	0.0942255	−	0.132579i
$319$	−1.15348	+	2.17506i	−0.0645823	+	0.121780i
$320$	−10.0837	−	5.82181i	−0.563694	−	0.325449i
$321$	−10.4345	+	18.5168i	−0.582399	+	1.03351i
$322$	2.17232	−	2.41260i	0.121058	−	0.134449i
$323$	0.586723	+	0.190638i	0.0326462	+	0.0106074i
$324$	8.98282	+	14.1589i	0.499045	+	0.786608i
$325$	−2.33306	+	3.21119i	−0.129415	+	0.178125i
$326$	3.09775	−	0.658447i	0.171568	−	0.0364680i
$327$	11.2113	−	10.3086i	0.619988	−	0.570069i
$328$	−1.81562	−	17.2745i	−0.100251	−	0.953822i
$329$	−0.606846	+	1.05109i	−0.0334565	+	0.0579484i
$330$	0.234418	+	5.04545i	0.0129043	+	0.277743i
$331$	0.503541	+	0.872158i	0.0276771	+	0.0479381i	0.879532	−	0.475839i	$-0.157856\pi$
$331$	0.503541	+	0.872158i	0.0276771	+	0.0479381i	−0.851855	+	0.523778i	$0.824522\pi$
$332$	15.6504	−	11.3707i	0.858927	−	0.624047i
$333$	11.8528	+	4.98342i	0.649530	+	0.273090i
$334$	0.348746	−	1.07333i	0.0190826	−	0.0587301i
$335$	3.49002	+	0.366816i	0.190680	+	0.0200413i
$336$	6.55119	+	5.77605i	0.357397	+	0.315110i
$337$	−16.5118	+	14.8673i	−0.899457	+	0.809875i	−0.982421	−	0.186678i	$-0.940228\pi$
$337$	−16.5118	+	14.8673i	−0.899457	+	0.809875i	0.0829642	+	0.996553i	$0.473561\pi$
$338$	8.89111	+	1.88986i	0.483613	+	0.102795i
$339$	0.0691615	−	0.0408988i	0.00375634	−	0.00222132i
$340$	4.20629	−	2.42850i	0.228118	−	0.131704i
$341$	17.4103	+	11.7160i	0.942822	+	0.634456i
$342$	0.117007	−	0.613145i	0.00632702	−	0.0331551i
$343$	10.6721	+	14.6889i	0.576240	+	0.793126i
$344$	9.02038	+	8.12199i	0.486346	+	0.437908i
$345$	18.3868	−	13.6542i	0.989910	−	0.735119i
$346$	−3.84468	+	1.71176i	−0.206691	+	0.0920249i
$347$	−10.9569	+	4.87831i	−0.588195	+	0.261881i	−0.679181	−	0.733971i	$-0.737665\pi$
$347$	−10.9569	+	4.87831i	−0.588195	+	0.261881i	0.0909858	+	0.995852i	$0.470998\pi$
$348$	−0.275246	−	2.37960i	−0.0147548	−	0.127560i
$349$	7.55592	+	6.80338i	0.404459	+	0.364176i	0.846108	−	0.533011i	$-0.178940\pi$
$349$	7.55592	+	6.80338i	0.404459	+	0.364176i	−0.441649	+	0.897188i	$0.645606\pi$
$350$	−0.222097	−	0.305691i	−0.0118716	−	0.0163399i
$351$	22.9894	−	22.0415i	1.22708	−	1.17649i
$352$	4.59818	+	12.5909i	0.245084	+	0.671099i
$353$	−3.99680	+	2.30756i	−0.212728	+	0.122819i	−0.602579	−	0.798059i	$-0.705860\pi$
$353$	−3.99680	+	2.30756i	−0.212728	+	0.122819i	0.389850	+	0.920878i	$0.372527\pi$
$354$	0.00627185	+	0.00353429i	0.000333345	+	0.000187845i
$355$	19.3779	+	4.11890i	1.02847	+	0.218608i
$356$	12.4765	−	11.2339i	0.661254	−	0.595395i
$357$	−2.83996	+	0.955645i	−0.150307	+	0.0505781i
$358$	−3.94441	−	0.414574i	−0.208469	−	0.0219109i
$359$	2.51158	−	7.72985i	0.132556	−	0.407966i	−0.862646	−	0.505809i	$-0.831194\pi$
$359$	2.51158	−	7.72985i	0.132556	−	0.407966i	0.995202	+	0.0978426i	$0.0311942\pi$
$360$	−6.16024	−	8.11698i	−0.324673	−	0.427802i
$361$	−15.1155	+	10.9820i	−0.795550	+	0.578001i
$362$	3.28945	+	5.69749i	0.172890	+	0.299454i
$363$	−11.5398	+	15.1603i	−0.605680	+	0.795708i
$364$	9.00465	−	15.5965i	0.471972	−	0.817479i
$365$	3.91511	+	37.2498i	0.204926	+	1.94974i
$366$	−0.801008	−	3.58408i	−0.0418694	−	0.187343i
$367$	−37.1245	+	7.89105i	−1.93788	+	0.411910i	−0.940482	+	0.339843i	$0.889626\pi$
$367$	−37.1245	+	7.89105i	−1.93788	+	0.411910i	−0.997400	+	0.0720664i	$0.977041\pi$
$368$	10.4569	−	14.3927i	0.545105	−	0.750272i
$369$	−10.5400	+	34.9014i	−0.548688	+	1.81689i
$370$	−3.58396	−	1.16450i	−0.186321	−	0.0605394i
$371$	−4.77628	+	5.30460i	−0.247972	+	0.275401i
$372$	−20.4172	+	0.213116i	−1.05858	+	0.0110496i
$373$	5.61495	+	3.24179i	0.290731	+	0.167854i	0.638272	−	0.769811i	$-0.279650\pi$
$373$	5.61495	+	3.24179i	0.290731	+	0.167854i	−0.347540	+	0.937665i	$0.612983\pi$
$374$	−1.32589	−	0.232309i	−0.0685601	−	0.0120124i
$375$	7.45720	+	16.2894i	0.385088	+	0.841182i
$376$	0.447395	−	1.00487i	0.0230727	−	0.0518220i
$377$	−4.32719	+	1.40599i	−0.222862	+	0.0724121i
$378$	1.31928	+	2.72977i	0.0678563	+	0.140404i
$379$	−10.0492	−	7.30119i	−0.516194	−	0.375037i	0.298974	−	0.954261i	$-0.403356\pi$
$379$	−10.0492	−	7.30119i	−0.516194	−	0.375037i	−0.815168	+	0.579224i	$0.803356\pi$
$380$	0.260277	−	2.47637i	0.0133519	−	0.127035i
$381$	−11.3580	+	1.31378i	−0.581890	+	0.0673068i
$382$	−1.57278	+	7.39934i	−0.0804703	+	0.378583i
$383$	14.1924	−	1.49168i	0.725199	−	0.0762214i	0.265266	−	0.964175i	$-0.414540\pi$
$383$	14.1924	−	1.49168i	0.725199	−	0.0762214i	0.459933	+	0.887954i	$0.347874\pi$
$384$	−13.9710	−	9.92940i	−0.712955	−	0.506708i
$385$	0.853644	−	12.4008i	0.0435057	−	0.632002i
$386$		−	5.65297i		−	0.287729i
$387$	−10.8462	−	23.0534i	−0.551343	−	1.17187i
$388$	−3.18943	−	9.81606i	−0.161919	−	0.498335i
$389$	2.23906	+	10.5339i	0.113525	+	0.534092i	0.997751	+	0.0670327i	$0.0213532\pi$
$389$	2.23906	+	10.5339i	0.113525	+	0.534092i	−0.884226	+	0.467059i	$0.845313\pi$
$390$	−6.17312	+	7.00154i	−0.312588	+	0.354537i
$391$	2.48254	+	5.57587i	0.125547	+	0.281984i
$392$	−4.31601	−	4.79342i	−0.217992	−	0.242104i
$393$	−13.3257	+	2.97816i	−0.672191	+	0.150228i
$394$	4.42854	+	1.97171i	0.223106	+	0.0993334i
$395$	−7.56012			−0.380391
$396$	0.886770	−	18.5165i	0.0445619	−	0.930491i
$397$	13.8356			0.694387			0.347193	−	0.937794i	$-0.387135\pi$
$397$	13.8356			0.694387			0.347193	+	0.937794i	$0.387135\pi$
$398$	−1.59639	−	0.710757i	−0.0800196	−	0.0356270i
$399$	−0.459426	+	1.46585i	−0.0230001	+	0.0733845i
$400$	−1.38551	−	1.53876i	−0.0692754	−	0.0769381i
$401$	−14.5838	−	32.7557i	−0.728279	−	1.63574i	−0.771144	−	0.636661i	$-0.780315\pi$
$401$	−14.5838	−	32.7557i	−0.728279	−	1.63574i	0.0428651	−	0.999081i	$-0.486351\pi$
$402$	0.927610	+	0.187072i	0.0462650	+	0.00933030i
$403$	8.06321	+	37.9344i	0.401657	+	1.88965i
$404$	−5.60477	−	17.2497i	−0.278848	−	0.858206i
$405$	5.31619	+	20.7170i	0.264163	+	1.02943i
$406$		−	0.433128i		−	0.0214958i
$407$	−7.54578	−	12.0467i	−0.374031	−	0.597133i
$408$	2.46921	−	1.13039i	0.122244	−	0.0559627i
$409$	15.6291	−	1.64268i	0.772809	−	0.0812255i	0.290088	−	0.957000i	$-0.406315\pi$
$409$	15.6291	−	1.64268i	0.772809	−	0.0812255i	0.482720	+	0.875774i	$0.339649\pi$
$410$	2.22159	−	10.4517i	0.109716	−	0.516174i
$411$	18.2345	+	24.5545i	0.899440	+	1.21118i
$412$	0.368649	−	3.50746i	0.0181620	−	0.172800i
$413$	−0.0143332	−	0.0104137i	−0.000705293	−	0.000512425i
$414$	5.28269	−	3.19881i	0.259630	−	0.157213i
$415$	23.4675	−	7.62504i	1.15197	−	0.374298i
$416$	−10.0756	+	22.6301i	−0.493996	+	1.10953i
$417$	−24.2823	−	2.29619i	−1.18911	−	0.112445i
$418$	−0.495889	+	0.479914i	−0.0242547	+	0.0234734i
$419$	−13.1723	−	7.60505i	−0.643510	−	0.371531i	0.142455	−	0.989801i	$-0.454500\pi$
$419$	−13.1723	−	7.60505i	−0.643510	−	0.371531i	−0.785965	+	0.618270i	$0.787834\pi$
$420$	6.15612	+	10.4102i	0.300388	+	0.507968i
$421$	−8.12421	+	9.02285i	−0.395950	+	0.439747i	−0.907848	−	0.419299i	$-0.862276\pi$
$421$	−8.12421	+	9.02285i	−0.395950	+	0.439747i	0.511898	+	0.859046i	$0.328942\pi$
$422$	−6.87448	−	2.23365i	−0.334644	−	0.108733i
$423$	−1.68314	+	1.58035i	−0.0818369	+	0.0768394i
$424$	3.80248	−	5.23367i	0.184665	−	0.254169i
$425$	0.694864	−	0.147698i	0.0337059	−	0.00716440i
$426$	5.09758	+	1.59768i	0.246978	+	0.0774076i
$427$	0.944721	+	8.98842i	0.0457183	+	0.434980i
$428$	−11.4314	+	19.7998i	−0.552557	+	0.957057i
$429$	−34.8086	+	5.30168i	−1.68058	+	0.255967i
$430$	3.73349	+	6.46660i	0.180045	+	0.311847i
$431$	20.7468	−	15.0734i	0.999336	−	0.726060i	0.0373906	−	0.999301i	$-0.488095\pi$
$431$	20.7468	−	15.0734i	0.999336	−	0.726060i	0.961946	+	0.273240i	$0.0880954\pi$
$432$	8.75355	+	14.1213i	0.421155	+	0.679410i
$433$	−0.399073	+	1.22822i	−0.0191782	+	0.0590245i	−0.960188	−	0.279356i	$-0.909879\pi$
$433$	−0.399073	+	1.22822i	−0.0191782	+	0.0590245i	0.941009	+	0.338380i	$0.109879\pi$
$434$	−3.67164	−	0.385905i	−0.176244	−	0.0185240i
$435$	0.604044	−	2.99519i	0.0289617	−	0.143609i
$436$	12.1748	−	10.9622i	0.583066	−	0.524995i
$437$	3.06069	+	0.650569i	0.146413	+	0.0311210i
$438$	0.105418	+	10.0994i	0.00503707	+	0.482566i
$439$	7.78450	−	4.49438i	0.371534	−	0.214505i	−0.302595	−	0.953119i	$-0.597853\pi$
$439$	7.78450	−	4.49438i	0.371534	−	0.214505i	0.674128	+	0.738614i	$0.264519\pi$
$440$	0.405354	+	11.2581i	0.0193245	+	0.536707i
$441$	4.45154	+	12.7859i	0.211978	+	0.608853i
$442$	−1.46220	−	2.01254i	−0.0695495	−	0.0957267i
$443$	10.6597	+	9.59804i	0.506458	+	0.456017i	0.882314	−	0.470661i	$-0.155985\pi$
$443$	10.6597	+	9.59804i	0.506458	+	0.456017i	−0.375856	+	0.926678i	$0.622651\pi$
$444$	12.6931	+	5.49329i	0.602386	+	0.260700i
$445$	19.5633	−	8.71013i	0.927388	−	0.412900i
$446$	−5.55315	+	2.47242i	−0.262949	+	0.117073i
$447$	22.6436	+	9.79967i	1.07100	+	0.463508i
$448$	5.74218	+	5.17028i	0.271293	+	0.244273i
$449$	−8.37515	−	11.5274i	−0.395248	−	0.544012i	0.564296	−	0.825573i	$-0.309148\pi$
$449$	−8.37515	−	11.5274i	−0.395248	−	0.544012i	−0.959543	+	0.281561i	$0.909148\pi$
$450$	−0.236338	−	0.678819i	−0.0111411	−	0.0319999i
$451$	31.7346	−	24.8492i	1.49433	−	1.17011i
$452$	0.0748501	−	0.0432147i	0.00352065	−	0.00203265i
$453$	−0.0465739	−	4.46192i	−0.00218823	−	0.209639i
$454$	9.83091	+	2.08963i	0.461388	+	0.0980710i
$455$	17.0711	−	15.3709i	0.800307	−	0.720599i
$456$	0.275229	−	1.36474i	0.0128888	−	0.0639099i
$457$	−25.8336	−	2.71522i	−1.20845	−	0.127013i	−0.521198	−	0.853436i	$-0.674515\pi$
$457$	−25.8336	−	2.71522i	−1.20845	−	0.127013i	−0.687248	+	0.726423i	$0.741182\pi$
$458$	−0.495664	+	1.52550i	−0.0231608	+	0.0712817i
$459$	−5.69726	+	0.178458i	−0.265926	+	0.00832969i
$460$	19.9303	−	14.4802i	0.929255	−	0.675143i
$461$	−5.82733	−	10.0932i	−0.271406	−	0.470089i	0.697816	−	0.716277i	$-0.254155\pi$
$461$	−5.82733	−	10.0932i	−0.271406	−	0.470089i	−0.969222	+	0.246188i	$0.920822\pi$
$462$	0.543973	−	3.30741i	0.0253079	−	0.153875i
$463$	−9.33236	+	16.1641i	−0.433712	+	0.751211i	−0.997190	−	0.0749205i	$-0.976130\pi$
$463$	−9.33236	+	16.1641i	−0.433712	+	0.751211i	0.563478	+	0.826131i	$0.309463\pi$
$464$	−0.248099	−	2.36050i	−0.0115177	−	0.109583i
$465$	−24.8522	−	7.78913i	−1.15249	−	0.361212i
$466$	−4.24379	+	0.902044i	−0.196590	+	0.0417864i
$467$	1.77499	−	2.44307i	0.0821369	−	0.113052i	−0.765971	−	0.642875i	$-0.777742\pi$
$467$	1.77499	−	2.44307i	0.0821369	−	0.113052i	0.848108	+	0.529823i	$0.177742\pi$
$468$	24.9751	−	23.4500i	1.15447	−	1.08397i
$469$	−2.21481	−	0.719634i	−0.102270	−	0.0332296i
$470$	0.452776	−	0.502858i	0.0208850	−	0.0231951i
$471$	5.01977	+	8.48863i	0.231299	+	0.391135i
$472$	0.0139055	+	0.00802835i	0.000640053	+	0.000369535i
$473$	−4.86098	+	27.7437i	−0.223508	+	1.27566i
$474$	−2.02957	−	0.191921i	−0.0932213	−	0.00881523i
$475$	0.148129	−	0.332704i	0.00679664	−	0.0152655i
$476$	−3.06542	+	0.996017i	−0.140503	+	0.0456523i
$477$	−11.6151	+	7.03325i	−0.531818	+	0.322030i
$478$	5.37036	+	3.90180i	0.245635	+	0.178464i
$479$	4.04360	−	38.4723i	0.184757	−	1.75784i	−0.372994	−	0.927834i	$-0.621669\pi$
$479$	4.04360	−	38.4723i	0.184757	−	1.75784i	0.557751	−	0.830009i	$-0.311665\pi$
$480$	−9.91812	−	13.3557i	−0.452698	−	0.609602i
$481$	5.46179	−	25.6957i	0.249036	−	1.17162i
$482$	−0.983114	+	0.103329i	−0.0447796	+	0.00470653i
$483$	−13.8190	+	6.32626i	−0.628786	+	0.287855i
$484$	−12.5825	+	16.1770i	−0.571932	+	0.735318i
$485$		−	13.1651i		−	0.597795i
$486$	0.901249	+	5.69658i	0.0408815	+	0.258402i
$487$	−3.79422	−	11.6774i	−0.171933	−	0.529154i	0.827548	−	0.561396i	$-0.189735\pi$
$487$	−3.79422	−	11.6774i	−0.171933	−	0.529154i	−0.999480	+	0.0322416i	$0.989735\pi$
$488$	−1.70301	−	8.01204i	−0.0770917	−	0.362688i
$489$	−14.5334	−	2.93096i	−0.657222	−	0.132543i
$490$	−1.61391	−	3.62490i	−0.0729090	−	0.163756i
$491$	−24.4022	−	27.1014i	−1.10125	−	1.22307i	−0.972872	−	0.231343i	$-0.925688\pi$
$491$	−24.4022	−	27.1014i	−1.10125	−	1.22307i	−0.128383	−	0.991725i	$-0.540979\pi$
$492$	−11.7287	+	37.4219i	−0.528772	+	1.68711i
$493$	0.743905	+	0.331208i	0.0335038	+	0.0149168i
$494$	−1.27532			−0.0573793
$495$	8.37425	−	22.1130i	0.376395	−	0.993904i
$496$	−20.2311			−0.908403
$497$	−12.0101	−	5.34726i	−0.538729	−	0.239857i
$498$	6.49358	−	1.45125i	0.290984	−	0.0650322i
$499$	16.2473	+	18.0445i	0.727329	+	0.807781i	0.987473	−	0.157789i	$-0.0504366\pi$
$499$	16.2473	+	18.0445i	0.727329	+	0.807781i	−0.260144	+	0.965570i	$0.583770\pi$
$500$	7.83816	+	17.6048i	0.350533	+	0.787311i
$501$	−3.49407	+	3.96297i	−0.156104	+	0.177053i
$502$	−1.04547	−	4.91854i	−0.0466616	−	0.219525i
$503$	6.87821	+	21.1689i	0.306684	+	0.943876i	0.979043	+	0.203652i	$0.0652810\pi$
$503$	6.87821	+	21.1689i	0.306684	+	0.943876i	−0.672359	+	0.740225i	$0.734719\pi$
$504$	2.87877	+	6.11878i	0.128231	+	0.272552i
$505$		−	23.1349i		−	1.02949i
$506$	−6.81137	−	0.468881i	−0.302802	−	0.0208443i
$507$	−34.6855	−	24.6515i	−1.54044	−	1.09481i
$508$	−12.2316	+	1.28559i	−0.542689	+	0.0570389i
$509$	5.89189	−	27.7192i	0.261153	−	1.22863i	−0.630600	−	0.776108i	$-0.717191\pi$
$509$	5.89189	−	27.7192i	0.261153	−	1.22863i	0.891753	−	0.452522i	$-0.149476\pi$
$510$	1.65952	−	0.191956i	0.0734848	−	0.00849994i
$511$	2.59812	−	24.7195i	0.114934	−	1.09353i
$512$	−17.8490	−	12.9680i	−0.788820	−	0.573111i
$513$	−1.64277	+	2.41673i	−0.0725302	+	0.106701i
$514$	1.67314	−	0.543635i	0.0737989	−	0.0239787i
$515$	1.82972	−	4.10961i	0.0806270	−	0.181091i
$516$	−11.4075	−	24.9183i	−0.502185	−	1.09697i
$517$	2.52723	−	0.357971i	0.111147	−	0.0157436i
$518$	2.16573	+	1.25038i	0.0951565	+	0.0549386i
$519$	19.7010	−	0.205641i	0.864777	−	0.00902662i
$520$	−13.9306	+	15.4715i	−0.610896	+	0.678469i
$521$	−14.9548	−	4.85911i	−0.655182	−	0.212882i	−0.0374843	−	0.999297i	$-0.511934\pi$
$521$	−14.9548	−	4.85911i	−0.655182	−	0.212882i	−0.617698	+	0.786416i	$0.711934\pi$
$522$	0.238196	−	0.788748i	0.0104256	−	0.0345226i
$523$	8.59617	−	11.8316i	0.375884	−	0.517360i	−0.578604	−	0.815609i	$-0.696402\pi$
$523$	8.59617	−	11.8316i	0.375884	−	0.517360i	0.954488	+	0.298248i	$0.0964023\pi$
$524$	−14.3667	+	3.05373i	−0.627610	+	0.133403i
$525$	0.385817	+	1.72632i	0.0168384	+	0.0753429i
$526$	0.716324	+	6.81536i	0.0312332	+	0.297164i
$527$	3.47046	−	6.01101i	0.151175	−	0.261844i
$528$	1.07009	−	18.3366i	0.0465696	−	0.797998i
$529$	3.97891	+	6.89168i	0.172996	+	0.299638i
$530$	3.21959	−	2.33917i	0.139850	−	0.101607i
$531$	−0.0203746	−	0.0268464i	−0.000884182	−	0.00116503i
$532$	−0.510621	+	1.57153i	−0.0221382	+	0.0681345i
$533$	74.0794	+	7.78606i	3.20873	+	0.337252i
$534$	5.47302	−	1.84167i	0.236841	−	0.0796967i
$535$	−21.6718	+	19.5134i	−0.936953	+	0.843636i
$536$	2.06444	+	0.438811i	0.0891704	+	0.0189538i
$537$	16.1758	+	9.11532i	0.698037	+	0.393355i
$538$	−6.92048	+	3.99554i	−0.298363	+	0.172260i
$539$	4.11003	−	14.3922i	0.177031	−	0.619916i
$540$	5.48555	+	22.3431i	0.236061	+	0.961493i
$541$	10.4934	+	14.4429i	0.451146	+	0.620950i	0.972643	−	0.232303i	$-0.0746262\pi$
$541$	10.4934	+	14.4429i	0.451146	+	0.620950i	−0.521497	+	0.853253i	$0.674626\pi$
$542$	−0.251295	−	0.226267i	−0.0107941	−	0.00971901i
$543$	−3.53888	−	30.5949i	−0.151868	−	1.31295i
$544$	4.05018	−	1.80326i	0.173650	−	0.0773141i
$545$	19.0902	−	8.49949i	0.817733	−	0.364078i
$546$	4.97308	−	3.69307i	0.212828	−	0.158049i
$547$	−3.35413	−	3.02008i	−0.143412	−	0.129129i	0.594302	−	0.804242i	$-0.297428\pi$
$547$	−3.35413	−	3.02008i	−0.143412	−	0.129129i	−0.737715	+	0.675113i	$0.764095\pi$
$548$	19.3375	+	26.6158i	0.826058	+	1.13697i
$549$	−3.22274	+	16.8879i	−0.137543	+	0.720758i
$550$	−0.218206	+	0.764100i	−0.00930435	+	0.0325813i
$551$	0.361535	−	0.208732i	0.0154019	−	0.00889229i
$552$	11.8562	−	7.01117i	0.504632	−	0.298415i
$553$	4.90737	+	1.04309i	0.208683	+	0.0443569i
$554$	4.07283	−	3.66719i	0.173038	−	0.155804i
$555$	13.2328	+	11.6671i	0.561700	+	0.495239i
$556$	−26.0925	−	2.74243i	−1.10657	−	0.116305i
$557$	−8.48770	+	26.1225i	−0.359635	+	1.10684i	0.593637	+	0.804733i	$0.297691\pi$
$557$	−8.48770	+	26.1225i	−0.359635	+	1.10684i	−0.953273	+	0.302111i	$0.902309\pi$
$558$	−6.47402	−	2.72195i	−0.274067	−	0.115229i
$559$	−42.1116	+	30.5959i	−1.78113	+	1.29407i
$560$	5.99168	+	10.3779i	0.253195	+	0.438546i
$561$	5.26456	+	3.46342i	0.222270	+	0.146226i
$562$	−0.339933	+	0.588781i	−0.0143392	+	0.0248362i
$563$	1.09423	+	10.4109i	0.0461162	+	0.438766i	0.993081	+	0.117430i	$0.0374654\pi$
$563$	1.09423	+	10.4109i	0.0461162	+	0.438766i	−0.946965	+	0.321337i	$0.895868\pi$
$564$	−1.82814	+	1.68095i	−0.0769787	+	0.0707807i
$565$	0.107835	−	0.0229210i	0.00453664	−	0.000964292i
$566$	2.62486	−	3.61281i	0.110331	−	0.151858i
$567$	−0.592419	−	14.1811i	−0.0248793	−	0.595552i
$568$	11.3317	+	3.68188i	0.475466	+	0.154488i
$569$	−24.8077	+	27.5518i	−1.03999	+	1.15503i	−0.0522995	+	0.998631i	$0.516655\pi$
$569$	−24.8077	+	27.5518i	−1.03999	+	1.15503i	−0.987694	+	0.156398i	$0.950012\pi$
$570$	0.420459	−	0.746135i	0.0176111	−	0.0312522i
$571$	5.32451	+	3.07411i	0.222824	+	0.128647i	0.607257	−	0.794505i	$-0.292270\pi$
$571$	5.32451	+	3.07411i	0.222824	+	0.128647i	−0.384433	+	0.923153i	$0.625603\pi$
$572$	−37.5001	+	5.31173i	−1.56796	+	0.222095i
$573$	20.5154	−	28.8659i	0.857043	−	1.20589i
$574$	−2.88412	+	6.47784i	−0.120381	+	0.270380i
$575$	3.42681	−	1.11344i	0.142908	−	0.0464335i
$576$	7.61344	+	12.5732i	0.317227	+	0.523884i
$577$	−8.59300	−	6.24318i	−0.357731	−	0.259907i	0.394374	−	0.918950i	$-0.370961\pi$
$577$	−8.59300	−	6.24318i	−0.357731	−	0.259907i	−0.752105	+	0.659043i	$0.770961\pi$
$578$	0.610912	−	5.81244i	0.0254106	−	0.241766i
$579$	−10.5110	+	24.2873i	−0.436823	+	1.00934i
$580$	0.683344	−	3.21488i	0.0283743	−	0.133491i
$581$	−16.2851	+	1.71163i	−0.675619	+	0.0710104i
$582$	0.334208	−	3.53426i	0.0138534	−	0.146500i
$583$	14.9762	+	1.03093i	0.620250	+	0.0426968i
$584$			22.5266i			0.932155i
$585$	39.5405	−	18.6030i	1.63480	−	0.769141i
$586$	−1.95296	−	6.01061i	−0.0806762	−	0.248296i
$587$	1.30614	+	6.14489i	0.0539100	+	0.253627i	0.996847	−	0.0793437i	$-0.0252825\pi$
$587$	1.30614	+	6.14489i	0.0539100	+	0.253627i	−0.942937	+	0.332970i	$0.891949\pi$
$588$	4.64458	+	13.8026i	0.191539	+	0.569211i
$589$	−1.44731	−	3.25071i	−0.0596354	−	0.133943i
$590$	0.00660939	+	0.00734047i	0.000272104	+	0.000302202i
$591$	−15.3605	−	16.7055i	−0.631845	−	0.687173i
$592$	12.5192	+	5.57390i	0.514535	+	0.229086i
$593$	13.2967			0.546030			0.273015	−	0.962010i	$-0.411979\pi$
$593$	13.2967			0.546030			0.273015	+	0.962010i	$0.411979\pi$
$594$	2.80949	−	5.72380i	0.115275	−	0.234850i
$595$	−4.11127			−0.168546
$596$	24.2456	+	10.7949i	0.993140	+	0.442175i
$597$	5.53709	+	6.02196i	0.226618	+	0.246462i
$598$	−8.44278	−	9.37665i	−0.345251	−	0.383440i
$599$	14.2316	+	31.9648i	0.581489	+	1.30605i	0.929592	+	0.368590i	$0.120159\pi$
$599$	14.2316	+	31.9648i	0.581489	+	1.30605i	−0.348103	+	0.937456i	$0.613174\pi$
$600$	−0.511289	−	1.51944i	−0.0208733	−	0.0620308i
$601$	1.09690	+	5.16050i	0.0447434	+	0.210501i	0.994840	−	0.101454i	$-0.0323494\pi$
$601$	1.09690	+	5.16050i	0.0447434	+	0.210501i	−0.950097	+	0.311955i	$0.899016\pi$
$602$	−1.53124	−	4.71268i	−0.0624087	−	0.192074i
$603$	−3.63751	−	2.52851i	−0.148131	−	0.102969i
$604$		−	4.79981i		−	0.195301i
$605$	−21.6402	+	14.6649i	−0.879801	+	0.596211i
$606$	0.587302	−	6.21074i	0.0238575	−	0.252294i
$607$	20.6851	−	2.17409i	0.839580	−	0.0882435i	0.325030	−	0.945704i	$-0.394626\pi$
$607$	20.6851	−	2.17409i	0.839580	−	0.0882435i	0.514550	+	0.857460i	$0.327959\pi$
$608$	0.472559	−	2.22321i	0.0191648	−	0.0901632i
$609$	−0.805349	+	1.86088i	−0.0326344	+	0.0754066i
$610$	0.526705	−	5.01126i	0.0213256	−	0.202900i
$611$	3.81618	+	2.77262i	0.154386	+	0.112168i
$612$	−6.13004	+	0.127986i	−0.247792	+	0.00517352i
$613$	−25.6016	+	8.31845i	−1.03404	+	0.335979i	−0.776385	−	0.630259i	$-0.782949\pi$
$613$	−25.6016	+	8.31845i	−1.03404	+	0.335979i	−0.257652	+	0.966238i	$0.582949\pi$
$614$	2.51169	−	5.64134i	0.101363	−	0.227666i
$615$	−28.9785	+	40.7737i	−1.16853	+	1.64416i
$616$	1.29019	−	7.36368i	0.0519832	−	0.296691i
$617$	29.0656	+	16.7811i	1.17014	+	0.675580i	0.953713	−	0.300719i	$-0.0972268\pi$
$617$	29.0656	+	16.7811i	1.17014	+	0.675580i	0.216426	+	0.976299i	$0.430560\pi$
$618$	0.595528	−	1.05681i	0.0239556	−	0.0425110i
$619$	24.9661	−	27.7277i	1.00347	−	1.11447i	0.0100515	−	0.999949i	$-0.496800\pi$
$619$	24.9661	−	27.7277i	1.00347	−	1.11447i	0.993421	−	0.114520i	$-0.0365329\pi$
$620$	−26.6438	−	8.65710i	−1.07004	−	0.347678i
$621$	−28.6442	+	3.92076i	−1.14945	+	0.157335i
$622$	−6.42524	+	8.84358i	−0.257629	+	0.354595i
$623$	−13.9005	+	2.95465i	−0.556914	+	0.118376i
$624$	24.9873	−	22.9754i	1.00029	−	0.919753i
$625$	2.90783	+	27.6662i	0.116313	+	1.10665i
$626$	−2.98639	+	5.17258i	−0.119360	+	0.206738i
$627$	3.02286	−	1.13984i	0.120721	−	0.0455209i
$628$	5.30401	+	9.18682i	0.211653	+	0.366594i
$629$	−3.80365	+	2.76352i	−0.151662	+	0.110189i
$630$	0.521087	+	4.12710i	0.0207606	+	0.164428i
$631$	−5.33541	+	16.4207i	−0.212399	+	0.653698i	0.786929	+	0.617044i	$0.211670\pi$
$631$	−5.33541	+	16.4207i	−0.212399	+	0.653698i	−0.999328	+	0.0366537i	$0.988330\pi$
$632$	−4.52198	−	0.475279i	−0.179875	−	0.0189056i
$633$	25.3821	+	22.3789i	1.00885	+	0.889480i
$634$	2.30526	−	2.07567i	0.0915537	−	0.0824354i
$635$	−15.3449	−	3.26166i	−0.608944	−	0.129435i
$636$	−12.5723	+	7.43463i	−0.498523	+	0.294802i
$637$	23.9550	−	13.8304i	0.949130	−	0.547980i
$638$	−0.717182	+	0.561577i	−0.0283935	+	0.0222330i
$639$	−18.9304	−	16.3425i	−0.748874	−	0.646500i
$640$	−13.8230	−	19.0257i	−0.546402	−	0.752058i
$641$	−7.01171	−	6.31337i	−0.276946	−	0.249363i	0.518939	−	0.854811i	$-0.326327\pi$
$641$	−7.01171	−	6.31337i	−0.276946	−	0.249363i	−0.795885	+	0.605448i	$0.792994\pi$
$642$	−6.31332	+	4.68835i	−0.249167	+	0.185034i
$643$	7.46251	−	3.32252i	0.294293	−	0.131028i	−0.254279	−	0.967131i	$-0.581838\pi$
$643$	7.46251	−	3.32252i	0.294293	−	0.131028i	0.548572	+	0.836103i	$0.315172\pi$
$644$	−14.9349	+	6.64944i	−0.588517	+	0.262025i
$645$	−4.01660	−	34.7249i	−0.158153	−	1.36729i
$646$	0.169621	+	0.152727i	0.00667365	+	0.00600898i
$647$	12.6621	+	17.4279i	0.497799	+	0.685162i	0.981803	−	0.189904i	$-0.0608178\pi$
$647$	12.6621	+	17.4279i	0.497799	+	0.685162i	−0.484003	+	0.875066i	$0.660818\pi$
$648$	1.87740	+	12.7258i	0.0737511	+	0.499915i
$649$	0.00134068	+	0.0372353i	5.26264e−5	+	0.00146161i
$650$	−1.27180	+	0.734273i	−0.0498840	+	0.0288005i
$651$	15.0572	+	8.48496i	0.590137	+	0.332552i
$652$	−15.5993	−	3.31574i	−0.610917	−	0.129854i
$653$	33.9745	−	30.5908i	1.32953	−	1.19711i	0.365651	−	0.930752i	$-0.380846\pi$
$653$	33.9745	−	30.5908i	1.32953	−	1.19711i	0.963874	−	0.266358i	$-0.0858204\pi$
$654$	5.34066	−	1.79713i	0.208836	−	0.0702733i
$655$	−18.6319	−	1.95829i	−0.728010	−	0.0765169i
$656$	−12.0076	+	36.9555i	−0.468817	+	1.44287i
$657$	18.3256	−	43.5866i	0.714951	−	1.70048i
$658$	−0.363284	+	0.263941i	−0.0141623	+	0.0102895i
$659$	2.87636	+	4.98200i	0.112047	+	0.194071i	0.916595	−	0.399816i	$-0.130926\pi$
$659$	2.87636	+	4.98200i	0.112047	+	0.194071i	−0.804548	+	0.593887i	$0.797593\pi$
$660$	9.25570	−	23.6909i	0.360278	−	0.922168i
$661$	−14.9630	+	25.9166i	−0.581991	+	1.00804i	0.413252	+	0.910617i	$0.364393\pi$
$661$	−14.9630	+	25.9166i	−0.581991	+	1.00804i	−0.995243	+	0.0974218i	$0.968940\pi$
$662$	0.0389474	+	0.370560i	0.00151373	+	0.0144022i
$663$	2.54005	+	11.3654i	0.0986476	+	0.441395i
$664$	14.5161	−	3.08549i	0.563333	−	0.119740i
$665$	−1.23887	+	1.70516i	−0.0480415	+	0.0661234i
$666$	3.25625	+	3.46803i	0.126177	+	0.134384i
$667$	3.92809	+	1.27631i	0.152096	+	0.0494190i
$668$	−3.80276	+	4.22339i	−0.147133	+	0.163408i
$669$	28.4556	−	0.297022i	1.10016	−	0.0114835i
$670$	1.12441	+	0.649177i	0.0434396	+	0.0250799i
$671$	13.6583	−	13.2183i	0.527273	−	0.510287i
$672$	4.59525	+	10.0378i	0.177266	+	0.387217i
$673$	−0.526783	+	1.18317i	−0.0203060	+	0.0456080i	−0.923414	−	0.383806i	$-0.874613\pi$
$673$	−0.526783	+	1.18317i	−0.0203060	+	0.0456080i	0.903108	+	0.429414i	$0.141280\pi$
$674$	−7.81821	+	2.54029i	−0.301146	+	0.0978484i
$675$	−0.246789	+	3.35590i	−0.00949890	+	0.129169i
$676$	−37.0313	−	26.9048i	−1.42428	−	1.03480i
$677$	2.18984	−	20.8349i	0.0841623	−	0.800750i	−0.868289	−	0.496059i	$-0.834780\pi$
$677$	2.18984	−	20.8349i	0.0841623	−	0.800750i	0.952451	−	0.304691i	$-0.0985534\pi$
$678$	0.0295309	−	0.00341581i	0.00113413	−	0.000131184i
$679$	−1.81643	+	8.54562i	−0.0697081	+	0.327951i
$680$	3.70561	−	0.389476i	0.142104	−	0.0149357i
$681$	−38.3518	−	27.2572i	−1.46964	−	1.04450i
$682$	4.12151	+	6.57993i	0.157821	+	0.251958i
$683$		−	12.7750i		−	0.488822i	−0.969672	−	0.244411i	$-0.921405\pi$
$683$		−	12.7750i		−	0.488822i	0.969672	−	0.244411i	$-0.0785945\pi$
$684$	−1.79412	+	2.58102i	−0.0685998	+	0.0986878i
$685$	12.9675	+	39.9099i	0.495463	+	1.52488i
$686$	1.39666	+	6.57076i	0.0533246	+	0.250873i
$687$	4.96603	−	5.63246i	0.189466	−	0.214892i
$688$	−11.0445	−	24.8065i	−0.421069	−	0.945737i
$689$	18.5632	+	20.6165i	0.707201	+	0.785426i
$690$	8.26938	−	1.84813i	0.314810	−	0.0703570i
$691$	−26.3548	−	11.7339i	−1.00258	−	0.446378i	−0.161260	−	0.986912i	$-0.551556\pi$
$691$	−26.3548	−	11.7339i	−1.00258	−	0.446378i	−0.841322	+	0.540534i	$0.818222\pi$
$692$	21.1929			0.805633
$693$	−8.48683	+	13.1984i	−0.322388	+	0.501365i
$694$	−4.43747			−0.168444
$695$	−30.5720	−	13.6115i	−1.15966	−	0.516315i
$696$	0.549598	−	1.75356i	0.0208325	−	0.0664685i
$697$	−8.92034	−	9.90704i	−0.337882	−	0.375256i
$698$	1.53005	+	3.43655i	0.0579134	+	0.130076i
$699$	19.9101	+	4.01529i	0.753069	+	0.151872i
$700$	0.395607	+	1.86118i	0.0149525	+	0.0703461i
$701$	−1.64023	−	5.04812i	−0.0619507	−	0.190665i	0.915291	−	0.402793i	$-0.131961\pi$
$701$	−1.64023	−	5.04812i	−0.0619507	−	0.190665i	−0.977242	+	0.212128i	$0.931961\pi$
$702$	11.0872	−	3.99035i	0.418459	−	0.150606i
$703$			2.41032i			0.0909071i
$704$	1.11597	−	16.2116i	0.0420599	−	0.610998i
$705$	−2.88030	+	1.31858i	−0.108478	+	0.0496607i
$706$	−1.69815	+	0.178483i	−0.0639107	+	0.00671728i
$707$	−3.19200	+	15.0172i	−0.120047	+	0.564779i
$708$	−0.0216137	−	0.0291050i	−0.000812293	−	0.00109383i
$709$	3.01787	−	28.7131i	0.113339	−	1.07834i	−0.779014	−	0.627006i	$-0.784280\pi$
$709$	3.01787	−	28.7131i	0.113339	−	1.07834i	0.892353	−	0.451338i	$-0.149053\pi$
$710$	5.92979	+	4.30824i	0.222541	+	0.161685i
$711$	8.36293	+	4.59830i	0.313634	+	0.172450i
$712$	12.2491	−	3.97997i	0.459054	−	0.149156i
$713$	14.3192	−	32.1614i	0.536257	−	1.20445i
$714$	−1.10370	−	0.104369i	−0.0413050	−	0.00390590i
$715$	−47.5852	−	8.33740i	−1.77959	−	0.311801i
$716$	17.2965	+	9.98615i	0.646401	+	0.373200i
$717$	−15.8181	−	26.7491i	−0.590739	−	0.998963i
$718$	2.01213	−	2.23469i	0.0750919	−	0.0833980i
$719$	−35.5978	−	11.5664i	−1.32757	−	0.431355i	−0.442484	−	0.896776i	$-0.645903\pi$
$719$	−35.5978	−	11.5664i	−1.32757	−	0.431355i	−0.885089	+	0.465422i	$0.845903\pi$
$720$	5.20389	+	22.1938i	0.193938	+	0.827113i
$721$	−1.75471	+	2.41515i	−0.0653488	+	0.0899449i
$722$	−6.76157	+	1.43722i	−0.251639	+	0.0534876i
$723$	4.41595	+	1.38404i	0.164231	+	0.0514730i
$724$	−3.46296	−	32.9479i	−0.128700	−	1.22450i
$725$	0.240358	−	0.416312i	0.00892666	−	0.0154614i
$726$	−6.18176	+	3.38753i	−0.229427	+	0.125723i
$727$	−21.8970	−	37.9268i	−0.812116	−	1.40663i	−0.911380	−	0.411565i	$-0.864982\pi$
$727$	−21.8970	−	37.9268i	−0.812116	−	1.40663i	0.0992641	−	0.995061i	$-0.468351\pi$
$728$	11.1772	−	8.12069i	0.414253	−	0.300973i
$729$	6.72000	−	26.1504i	0.248889	−	0.968532i
$730$	−4.28224	+	13.1794i	−0.158493	+	0.487791i
$731$	9.26502	+	0.973793i	0.342679	+	0.0360170i
$732$	−3.65602	+	18.1286i	−0.135130	+	0.670053i
$733$	3.94813	−	3.55491i	0.145827	−	0.131304i	−0.592988	−	0.805211i	$-0.702052\pi$
$733$	3.94813	−	3.55491i	0.145827	−	0.131304i	0.738816	+	0.673907i	$0.235385\pi$
$734$	−13.7354	−	2.91954i	−0.506981	−	0.107762i
$735$	0.193885	+	18.5748i	0.00715156	+	0.685141i
$736$	19.4744	−	11.2435i	0.717834	−	0.414442i
$737$	1.68004	+	4.60037i	0.0618852	+	0.169457i
$738$	−8.81457	+	10.2104i	−0.324469	+	0.375849i
$739$	3.62411	+	4.98816i	0.133315	+	0.183492i	0.870455	−	0.492247i	$-0.163824\pi$
$739$	3.62411	+	4.98816i	0.133315	+	0.183492i	−0.737140	+	0.675740i	$0.763824\pi$
$740$	14.1023	+	12.6978i	0.518411	+	0.466780i
$741$	5.47924	+	2.37130i	0.201285	+	0.0871119i
$742$	−2.41262	+	1.07417i	−0.0885700	+	0.0394339i
$743$	6.10349	−	2.71745i	0.223915	−	0.0996935i	−0.291713	−	0.956506i	$-0.594225\pi$
$743$	6.10349	−	2.71745i	0.223915	−	0.0996935i	0.515628	+	0.856812i	$0.327559\pi$
$744$	−14.3753	−	6.22133i	−0.527024	−	0.228085i
$745$	25.1576	+	22.6520i	0.921703	+	0.829905i
$746$	1.40998	+	1.94067i	0.0516231	+	0.0710531i
$747$	−30.5972	−	5.83891i	−1.11949	−	0.213635i
$748$	5.62373	+	3.78439i	0.205624	+	0.138371i
$749$	16.7598	−	9.67625i	0.612388	−	0.353563i
$750$	0.0691829	+	6.62793i	0.00252620	+	0.242018i
$751$	27.7224	+	5.89257i	1.01160	+	0.215023i	0.683759	−	0.729708i	$-0.260344\pi$
$751$	27.7224	+	5.89257i	1.01160	+	0.215023i	0.327845	+	0.944731i	$0.393677\pi$
$752$	−1.82867	+	1.64654i	−0.0666847	+	0.0600431i
$753$	−4.65372	+	23.0758i	−0.169591	+	0.840929i
$754$	−1.67415	−	0.175960i	−0.0609688	−	0.00640808i
$755$	1.89190	−	5.82267i	0.0688533	−	0.211909i
$756$	−0.477996	−	15.2600i	−0.0173845	−	0.555002i
$757$	10.7918	−	7.84073i	0.392236	−	0.284976i	−0.374135	−	0.927374i	$-0.622060\pi$
$757$	10.7918	−	7.84073i	0.392236	−	0.284976i	0.766371	+	0.642398i	$0.222060\pi$
$758$	−2.29786	−	3.98002i	−0.0834621	−	0.144561i
$759$	28.3923	+	14.6794i	1.03058	+	0.532828i
$760$	0.955098	−	1.65428i	0.0346450	−	0.0600070i
$761$	−0.0581249	−	0.553022i	−0.00210703	−	0.0200470i	0.993418	−	0.114547i	$-0.0365415\pi$
$761$	−0.0581249	−	0.553022i	−0.00210703	−	0.0200470i	−0.995525	+	0.0944996i	$0.969875\pi$
$762$	−4.03666	−	1.26516i	−0.146233	−	0.0458320i
$763$	−13.5644	+	2.88320i	−0.491063	+	0.104379i
$764$	22.3907	−	30.8181i	0.810066	−	1.11496i
$765$	−7.48683	−	2.26097i	−0.270687	−	0.0817455i
$766$	5.02143	+	1.63156i	0.181432	+	0.0589507i
$767$	−0.0460744	+	0.0511709i	−0.00166365	+	0.00184767i
$768$	5.41133	+	9.15077i	0.195264	+	0.330200i
$769$	−28.3158	−	16.3481i	−1.02109	−	0.589528i	−0.106672	−	0.994294i	$-0.534020\pi$
$769$	−28.3158	−	16.3481i	−1.02109	−	0.589528i	−0.914420	+	0.404766i	$0.867353\pi$
$770$	2.15465	−	4.06293i	0.0776484	−	0.146418i
$771$	−8.19923	−	0.775339i	−0.295288	−	0.0279231i
$772$	−11.5784	+	26.0056i	−0.416717	+	0.935963i
$773$	1.30242	−	0.423182i	0.0468448	−	0.0152208i	−0.285501	−	0.958378i	$-0.592160\pi$
$773$	1.30242	−	0.423182i	0.0468448	−	0.0152208i	0.332346	+	0.943158i	$0.392160\pi$
$774$	−0.196761	−	9.42412i	−0.00707243	−	0.338743i
$775$	−3.31493	−	2.40844i	−0.119076	−	0.0865138i
$776$	0.827643	−	7.87450i	0.0297107	−	0.282678i
$777$	−6.97982	−	9.39900i	−0.250400	−	0.337187i
$778$	−0.828409	+	3.89736i	−0.0296999	+	0.139727i
$779$	−6.79700	+	0.714393i	−0.243528	+	0.0255958i
$780$	42.7390	−	19.5657i	1.53030	−	0.700564i
$781$	6.71777	+	26.8197i	0.240381	+	0.959683i
$782$			2.25820i			0.0807530i
$783$	−2.48996	+	2.94585i	−0.0889839	+	0.105276i
$784$	4.45900	+	13.7234i	0.159250	+	0.490121i
$785$	2.81323	+	13.2352i	0.100409	+	0.472385i
$786$	−4.95217	−	0.998708i	−0.176638	−	0.0356228i
$787$	3.52463	+	7.91645i	0.125640	+	0.282191i	0.965403	−	0.260761i	$-0.0839734\pi$
$787$	3.52463	+	7.91645i	0.125640	+	0.282191i	−0.839764	+	0.542952i	$0.817307\pi$
$788$	−16.3343	−	18.1411i	−0.581886	−	0.646250i
$789$	9.59475	−	30.6132i	0.341582	−	1.08986i
$790$	−2.55528	−	1.13768i	−0.0909127	−	0.0404770i
$791$	−0.0731593			−0.00260125
$792$	6.39911	−	12.7001i	0.227382	−	0.451278i
$793$	35.1262			1.24737
$794$	4.67634	+	2.08204i	0.165957	+	0.0738889i
$795$	−18.1819	+	4.06349i	−0.644846	+	0.144117i
$796$	5.88815	+	6.53945i	0.208700	+	0.231785i
$797$	−5.48700	−	12.3240i	−0.194360	−	0.436539i	0.789907	−	0.613226i	$-0.210129\pi$
$797$	−5.48700	−	12.3240i	−0.194360	−	0.436539i	−0.984267	+	0.176687i	$0.943462\pi$
$798$	−0.375872	+	0.426314i	−0.0133057	+	0.0150913i
$799$	−0.175524	−	0.825778i	−0.00620961	−	0.0292139i
$800$	−0.808775	−	2.48915i	−0.0285945	−	0.0880049i
$801$	−26.9385	−	2.26395i	−0.951824	−	0.0799926i
$802$		−	13.2659i		−	0.468435i
$803$	−44.2996	+	27.7483i	−1.56330	+	0.979216i
$804$	−3.88416	−	2.76053i	−0.136984	−	0.0973564i
$805$	−20.7385	+	2.17971i	−0.730938	+	0.0768247i
$806$	−2.98323	+	14.0350i	−0.105080	+	0.494362i
$807$	37.1621	−	4.29852i	1.30817	−	0.151315i
$808$	1.45441	−	13.8378i	0.0511661	−	0.486813i
$809$	35.6994	+	25.9371i	1.25512	+	0.911900i	0.998508	−	0.0546139i	$-0.0173928\pi$
$809$	35.6994	+	25.9371i	1.25512	+	0.911900i	0.256615	+	0.966514i	$0.417393\pi$
$810$	−1.32075	+	7.80222i	−0.0464063	+	0.274142i
$811$	39.0505	−	12.6883i	1.37125	−	0.445546i	0.471466	−	0.881884i	$-0.343725\pi$
$811$	39.0505	−	12.6883i	1.37125	−	0.445546i	0.899782	+	0.436339i	$0.143725\pi$
$812$	−0.887135	+	1.99254i	−0.0311323	+	0.0699244i
$813$	0.658940	+	1.43938i	0.0231100	+	0.0504813i
$814$	−0.737586	−	5.20725i	−0.0258524	−	0.182514i
$815$	−17.6167	−	10.1710i	−0.617086	−	0.356275i
$816$	−6.07483	+	0.0634097i	−0.212662	+	0.00221978i
$817$	3.19577	−	3.54926i	0.111806	−	0.124173i
$818$	5.52974	+	1.79672i	0.193343	+	0.0628209i
$819$	−28.2330	+	6.61994i	−0.986540	+	0.231319i
$820$	−31.6274	+	43.5313i	−1.10447	+	1.52018i
$821$	15.3738	−	3.26780i	0.536548	−	0.114047i	0.0683351	−	0.997662i	$-0.478231\pi$
$821$	15.3738	−	3.26780i	0.536548	−	0.114047i	0.468213	+	0.883616i	$0.344898\pi$
$822$	2.46807	+	11.0433i	0.0860839	+	0.385179i
$823$	0.594191	+	5.65335i	0.0207122	+	0.197063i	0.999985	−	0.00548245i	$-0.00174513\pi$
$823$	0.594191	+	5.65335i	0.0207122	+	0.197063i	−0.979273	+	0.202546i	$0.935078\pi$
$824$	1.35278	−	2.34308i	0.0471262	−	0.0816250i
$825$	2.35825	−	2.87713i	0.0821036	−	0.100169i
$826$	−0.00327745	−	0.00567671i	−0.000114037	−	0.000197518i
$827$	−11.5227	+	8.37170i	−0.400682	+	0.291113i	−0.769819	−	0.638263i	$-0.779653\pi$
$827$	−11.5227	+	8.37170i	−0.400682	+	0.291113i	0.369137	+	0.929375i	$0.379653\pi$
$828$	−30.8540	+	3.89562i	−1.07225	+	0.135382i
$829$	−1.17567	+	3.61833i	−0.0408326	+	0.125670i	−0.969395	−	0.245507i	$-0.921046\pi$
$829$	−1.17567	+	3.61833i	−0.0408326	+	0.125670i	0.928562	+	0.371177i	$0.121046\pi$
$830$	9.07932	+	0.954275i	0.315148	+	0.0331234i
$831$	−24.3171	+	8.18268i	−0.843550	+	0.283854i
$832$	22.3172	−	20.0945i	0.773709	−	0.696651i
$833$	−4.84236	−	1.02927i	−0.167778	−	0.0356623i
$834$	−7.86174	−	4.43022i	−0.272230	−	0.153406i
$835$	−6.27784	+	3.62451i	−0.217254	+	0.125431i
$836$	3.26422	−	1.19209i	0.112895	−	0.0412292i
$837$	22.7536	+	23.7321i	0.786480	+	0.820303i
$838$	−3.30773	−	4.55270i	−0.114264	−	0.157270i
$839$	−2.89650	−	2.60802i	−0.0999981	−	0.0900387i	0.617615	−	0.786480i	$-0.288099\pi$
$839$	−2.89650	−	2.60802i	−0.0999981	−	0.0900387i	−0.717613	+	0.696442i	$0.754766\pi$
$840$	1.06608	+	9.21659i	0.0367831	+	0.318003i
$841$	−25.9894	+	11.5712i	−0.896187	+	0.399008i
$842$	−4.10374	+	1.82710i	−0.141424	+	0.0629661i
$843$	2.55524	−	1.89755i	0.0880072	−	0.0653552i
$844$	27.0500	+	24.3559i	0.931099	+	0.838365i
$845$	−34.3180	−	47.2347i	−1.18058	−	1.62492i
$846$	−0.806710	+	0.280864i	−0.0277353	+	0.00965631i
$847$	16.0703	−	6.53338i	0.552183	−	0.224489i
$848$	−12.5332	+	7.23605i	−0.430392	+	0.248487i
$849$	−17.9950	+	10.6414i	−0.617586	+	0.365211i
$850$	0.257087	+	0.0546454i	0.00881800	+	0.00187432i
$851$	−17.7217	+	15.9567i	−0.607491	+	0.546987i
$852$	−20.1782	−	17.7907i	−0.691295	−	0.609501i
$853$	31.5327	+	3.31423i	1.07966	+	0.113477i	0.627620	−	0.778520i	$-0.284029\pi$
$853$	31.5327	+	3.31423i	1.07966	+	0.113477i	0.452041	+	0.891997i	$0.350696\pi$
$854$	−1.03331	+	3.18020i	−0.0353592	+	0.108824i
$855$	−3.19379	+	2.42388i	−0.109225	+	0.0828948i
$856$	−14.1894	+	10.3092i	−0.484984	+	0.352362i
$857$	19.7818	+	34.2630i	0.675733	+	1.17040i	0.976254	+	0.216628i	$0.0695059\pi$
$857$	19.7818	+	34.2630i	0.675733	+	1.17040i	−0.300522	+	0.953775i	$0.597161\pi$
$858$	−12.5629	−	3.44623i	−0.428892	−	0.117652i
$859$	19.1591	−	33.1846i	0.653701	−	1.13224i	−0.328516	−	0.944498i	$-0.606549\pi$
$859$	19.1591	−	33.1846i	0.653701	−	1.13224i	0.982218	−	0.187746i	$-0.0601181\pi$
$860$	−3.93043	−	37.3955i	−0.134027	−	1.27518i
$861$	24.4360	−	22.4685i	0.832776	−	0.765724i
$862$	9.28061	−	1.97265i	0.316099	−	0.0671889i
$863$	−27.4819	+	37.8256i	−0.935495	+	1.28760i	0.0221825	+	0.999754i	$0.492939\pi$
$863$	−27.4819	+	37.8256i	−0.935495	+	1.28760i	−0.957677	+	0.287844i	$0.907061\pi$
$864$	2.84795	+	20.8065i	0.0968893	+	0.707850i
$865$	25.7092	+	8.35343i	0.874139	+	0.284025i
$866$	−0.319713	+	0.355077i	−0.0108643	+	0.0120660i
$867$	−13.4322	+	23.8365i	−0.456182	+	0.809529i
$868$	16.1004	+	9.29557i	0.546483	+	0.315512i
$869$	−4.63553	−	9.47816i	−0.157249	−	0.321524i
$870$	0.654895	−	0.921460i	0.0222030	−	0.0312404i
$871$	−3.68133	+	8.26841i	−0.124737	+	0.280164i
$872$	11.9528	−	3.88371i	0.404774	−	0.131519i
$873$	−8.00741	+	14.5631i	−0.271010	+	0.492885i
$874$	0.936595	+	0.680476i	0.0316808	+	0.0230174i
$875$	1.70507	−	16.2227i	0.0576421	−	0.548427i
$876$	20.2006	−	46.6765i	0.682515	−	1.57705i
$877$	−6.55314	+	30.8301i	−0.221284	+	1.04106i	0.717502	+	0.696556i	$0.245285\pi$
$877$	−6.55314	+	30.8301i	−0.221284	+	1.04106i	−0.938786	+	0.344501i	$0.888048\pi$
$878$	3.30745	−	0.347627i	0.111621	−	0.0117319i
$879$	−2.78534	+	29.4551i	−0.0939473	+	0.993495i
$880$	9.41535	−	23.3767i	0.317392	−	0.788029i
$881$		−	42.0051i		−	1.41519i	−0.706619	−	0.707595i	$-0.749780\pi$
$881$		−	42.0051i		−	1.41519i	0.706619	−	0.707595i	$-0.250220\pi$
$882$	−0.419489	+	4.99146i	−0.0141249	+	0.168071i
$883$	0.787007	+	2.42216i	0.0264849	+	0.0815122i	0.963425	−	0.267977i	$-0.0863551\pi$
$883$	0.787007	+	2.42216i	0.0264849	+	0.0815122i	−0.936940	+	0.349489i	$0.886355\pi$
$884$	2.60451	+	12.2532i	0.0875991	+	0.412121i
$885$	−0.0147476	−	0.0438267i	−0.000495737	−	0.00147322i
$886$	2.15856	+	4.84821i	0.0725183	+	0.162879i
$887$	−9.31629	−	10.3468i	−0.312810	−	0.347411i	0.566153	−	0.824300i	$-0.308431\pi$
$887$	−9.31629	−	10.3468i	−0.312810	−	0.347411i	−0.878964	+	0.476889i	$0.841764\pi$
$888$	7.18152	+	7.81038i	0.240996	+	0.262099i
$889$	9.51056	+	4.23438i	0.318974	+	0.142016i
$890$	7.92302			0.265580
$891$	−22.7133	+	19.3676i	−0.760925	+	0.648840i
$892$	30.6104			1.02491
$893$	−0.395386	−	0.176037i	−0.0132311	−	0.00589086i
$894$	6.17870	+	6.71975i	0.206647	+	0.224742i
$895$	17.0463	+	18.9319i	0.569796	+	0.632822i
$896$	6.34765	+	14.2570i	0.212060	+	0.476294i
$897$	18.8385	+	55.9839i	0.629000	+	1.86925i
$898$	−1.09605	−	5.15653i	−0.0365758	−	0.172076i
$899$	−1.45141	−	4.46699i	−0.0484074	−	0.148983i
$900$	−0.303126	+	3.60687i	−0.0101042	+	0.120229i
$901$		−	4.96511i		−	0.165412i
$902$	14.4656	−	3.62332i	0.481651	−	0.120644i
$903$	−2.18388	+	23.0945i	−0.0726748	+	0.768538i
$904$	0.0659407	−	0.00693065i	0.00219315	−	0.000230510i
$905$	8.78586	−	41.3342i	0.292052	−	1.37400i
$906$	0.655709	−	1.51511i	0.0217845	−	0.0503362i
$907$	3.48242	−	33.1330i	0.115632	−	1.10016i	−0.770727	−	0.637165i	$-0.780107\pi$
$907$	3.48242	−	33.1330i	0.115632	−	1.10016i	0.886359	−	0.462998i	$-0.153226\pi$
$908$	−40.9456	−	29.7487i	−1.35883	−	0.987246i
$909$	−14.0714	+	25.5916i	−0.466718	+	0.848820i
$910$	8.08303	−	2.62634i	0.267950	−	0.0870622i
$911$	2.67989	−	6.01914i	0.0887888	−	0.199423i	−0.863693	−	0.504018i	$-0.831854\pi$
$911$	2.67989	−	6.01914i	0.0887888	−	0.199423i	0.952482	+	0.304595i	$0.0985212\pi$
$912$	−1.80427	+	2.53866i	−0.0597452	+	0.0840636i
$913$	23.9487	+	24.7459i	0.792588	+	0.818971i
$914$	−8.32303	−	4.80530i	−0.275301	−	0.158945i
$915$	−11.5807	+	20.5509i	−0.382848	+	0.679391i
$916$	5.40475	−	6.00258i	0.178578	−	0.198331i
$917$	11.8240	+	3.84186i	0.390464	+	0.126869i
$918$	−1.95250	−	0.797034i	−0.0644421	−	0.0263060i
$919$	−19.1361	+	26.3386i	−0.631241	+	0.868829i	−0.998111	−	0.0614433i	$-0.980430\pi$
$919$	−19.1361	+	26.3386i	−0.631241	+	0.868829i	0.366869	+	0.930273i	$0.380430\pi$
$920$	18.4858	−	3.92928i	0.609458	−	0.129544i
$921$	−21.2805	+	19.5671i	−0.701217	+	0.644758i
$922$	−0.450727	−	4.28838i	−0.0148439	−	0.141230i
$923$	−25.5476	+	44.2498i	−0.840910	+	1.45650i
$924$	−9.27671	+	14.1010i	−0.305181	+	0.463890i
$925$	1.38776	+	2.40367i	0.0456292	+	0.0790322i
$926$	−5.58674	+	4.05901i	−0.183592	+	0.133387i
$927$	−4.52361	+	3.43312i	−0.148575	+	0.112758i
$928$	0.927084	−	2.85327i	0.0304330	−	0.0936633i
$929$	13.9527	+	1.46649i	0.457772	+	0.0481138i	0.330609	−	0.943768i	$-0.392746\pi$
$929$	13.9527	+	1.46649i	0.457772	+	0.0481138i	0.127164	+	0.991882i	$0.459413\pi$
$930$	−7.22775	−	6.37256i	−0.237007	−	0.208964i
$931$	−1.88607	+	1.69823i	−0.0618135	+	0.0556571i
$932$	21.3704	+	4.54243i	0.700012	+	0.148792i
$933$	44.0487	−	26.0483i	1.44209	−	0.852784i
$934$	0.967583	−	0.558634i	0.0316603	−	0.0182791i
$935$	5.33051	+	6.80753i	0.174326	+	0.222630i
$936$	24.8201	−	8.64137i	0.811270	−	0.282452i
$937$	31.0358	+	42.7172i	1.01390	+	1.39551i	0.916396	+	0.400273i	$0.131085\pi$
$937$	31.0358	+	42.7172i	1.01390	+	1.39551i	0.0975008	+	0.995235i	$0.468915\pi$
$938$	−0.640298	−	0.576527i	−0.0209065	−	0.0188243i
$939$	22.4484	−	16.6705i	0.732577	−	0.544021i
$940$	−3.11288	+	1.38594i	−0.101531	+	0.0452045i
$941$	−2.03166	+	0.904555i	−0.0662303	+	0.0294876i	−0.439584	−	0.898201i	$-0.644874\pi$
$941$	−2.03166	+	0.904555i	−0.0662303	+	0.0294876i	0.373354	+	0.927689i	$0.378208\pi$
$942$	0.419244	+	3.62451i	0.0136597	+	0.118093i
$943$	−50.2495	−	45.2449i	−1.63635	−	1.47338i
$944$	−0.0211134	−	0.0290601i	−0.000687183	−	0.000945826i
$945$	5.43506	−	18.7004i	0.176803	−	0.608325i
$946$	−5.81800	+	8.64573i	−0.189159	+	0.281097i
$947$	−18.9816	+	10.9590i	−0.616819	+	0.356121i	−0.775629	−	0.631189i	$-0.782567\pi$
$947$	−18.9816	+	10.9590i	−0.616819	+	0.356121i	0.158811	+	0.987309i	$0.449234\pi$
$948$	8.94363	+	5.03988i	0.290475	+	0.163688i
$949$	−94.4913	−	20.0848i	−3.06732	−	0.651979i
$950$	0.100134	−	0.0901608i	0.00324877	−	0.00292520i
$951$	−13.7637	+	4.63148i	−0.446319	+	0.150186i
$952$	−2.45910	−	0.258462i	−0.0796999	−	0.00837679i
$953$	6.64425	−	20.4489i	0.215228	−	0.662404i	−0.783909	−	0.620876i	$-0.786777\pi$
$953$	6.64425	−	20.4489i	0.215228	−	0.662404i	0.999137	−	0.0415288i	$-0.0132228\pi$
$954$	−4.98423	+	0.629307i	−0.161370	+	0.0203746i
$955$	39.3095	−	28.5601i	1.27203	−	0.924182i
$956$	−16.7138	−	28.9492i	−0.540564	−	0.936284i
$957$	4.12546	−	1.07923i	0.133357	−	0.0348864i
$958$	7.15620	−	12.3949i	0.231206	−	0.400461i
$959$	−2.91088	−	27.6952i	−0.0939972	−	0.894324i
$960$	4.39869	+	19.6818i	0.141967	+	0.635227i
$961$	−8.83744	+	1.87845i	−0.285079	+	0.0605953i
$962$	5.71286	−	7.86308i	0.184190	−	0.253516i
$963$	35.8417	−	8.40401i	1.15498	−	0.270816i
$964$	4.73430	+	1.53827i	0.152482	+	0.0495443i
$965$	−24.2963	+	26.9838i	−0.782125	+	0.868638i
$966$	−5.62275	+	0.0586908i	−0.180909	+	0.00188835i
$967$	−13.6754	−	7.89548i	−0.439770	−	0.253901i	0.263730	−	0.964597i	$-0.415047\pi$
$967$	−13.6754	−	7.89548i	−0.439770	−	0.253901i	−0.703500	+	0.710695i	$0.748381\pi$
$968$	−13.8657	+	7.41113i	−0.445661	+	0.238203i
$969$	−0.444776	−	0.971563i	−0.0142883	−	0.0312111i
$970$	1.98114	−	4.44972i	0.0636107	−	0.142872i
$971$	7.29530	−	2.37039i	0.234117	−	0.0760693i	−0.189609	−	0.981860i	$-0.560722\pi$
$971$	7.29530	−	2.37039i	0.234117	−	0.0760693i	0.423726	+	0.905790i	$0.360722\pi$
$972$	7.52171	−	28.0522i	0.241259	−	0.899774i
$973$	17.9667	+	13.0535i	0.575984	+	0.418477i
$974$	0.474848	−	4.51787i	0.0152151	−	0.144762i
$975$	6.82940	−	0.789951i	0.218716	−	0.0252987i
$976$	−3.80979	+	17.9236i	−0.121948	+	0.573722i
$977$	−7.43311	+	0.781252i	−0.237806	+	0.0249945i	−0.222682	−	0.974891i	$-0.571481\pi$
$977$	−7.43311	+	0.781252i	−0.237806	+	0.0249945i	−0.0151245	+	0.999886i	$0.504814\pi$
$978$	−4.47113	−	3.17770i	−0.142971	−	0.101612i
$979$	22.9153	+	19.1859i	0.732375	+	0.613184i
$980$			19.9814i			0.638282i
$981$	−26.2870	−	2.20919i	−0.839279	−	0.0705341i
$982$	−4.16946	−	12.8323i	−0.133053	−	0.409494i
$983$	−10.3881	−	48.8720i	−0.331328	−	1.55877i	−0.756704	−	0.653758i	$-0.773191\pi$
$983$	−10.3881	−	48.8720i	−0.331328	−	1.55877i	0.425376	−	0.905017i	$-0.360142\pi$
$984$	−19.8964	+	22.5664i	−0.634273	+	0.719392i
$985$	−12.6647	−	28.4454i	−0.403531	−	0.906346i
$986$	0.201594	+	0.223893i	0.00642006	+	0.00713020i
$987$	2.05157	−	0.458505i	0.0653021	−	0.0145944i
$988$	5.86690	+	2.61211i	0.186651	+	0.0831024i
$989$	47.2520			1.50252
$990$	6.15812	−	6.21386i	0.195718	−	0.197489i
$991$	−32.0166			−1.01704			−0.508520	−	0.861050i	$-0.669807\pi$
$991$	−32.0166			−1.01704			−0.508520	+	0.861050i	$0.669807\pi$
$992$	−23.3613	−	10.4011i	−0.741721	−	0.330236i
$993$	0.521679	−	1.66448i	0.0165550	−	0.0528206i
$994$	−3.25468	−	3.61469i	−0.103232	−	0.114651i
$995$	4.56534	+	10.2539i	0.144731	+	0.325071i
$996$	−32.8452	−	6.62392i	−1.04074	−	0.209887i
$997$	3.93540	+	18.5146i	0.124635	+	0.586363i	0.995494	+	0.0948290i	$0.0302304\pi$
$997$	3.93540	+	18.5146i	0.124635	+	0.586363i	−0.870858	+	0.491534i	$0.836436\pi$
$998$	2.77608	+	8.54390i	0.0878753	+	0.270452i
$999$	−7.54167	−	20.9546i	−0.238608	−	0.662973i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.p.a.41.6	yes	80
3.2	odd	2		297.2.t.a.206.5		80
9.2	odd	6	inner	99.2.p.a.74.6	yes	80
9.4	even	3		891.2.k.a.404.10		80
9.5	odd	6		891.2.k.a.404.11		80
9.7	even	3		297.2.t.a.8.5		80
11.7	odd	10	inner	99.2.p.a.95.6	yes	80
33.29	even	10		297.2.t.a.260.5		80
99.7	odd	30		297.2.t.a.62.5		80
99.29	even	30	inner	99.2.p.a.29.6	✓	80
99.40	odd	30		891.2.k.a.161.11		80
99.95	even	30		891.2.k.a.161.10		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.p.a.29.6	✓	80	99.29	even	30	inner
99.2.p.a.41.6	yes	80	1.1	even	1	trivial
99.2.p.a.74.6	yes	80	9.2	odd	6	inner
99.2.p.a.95.6	yes	80	11.7	odd	10	inner
297.2.t.a.8.5		80	9.7	even	3
297.2.t.a.62.5		80	99.7	odd	30
297.2.t.a.206.5		80	3.2	odd	2
297.2.t.a.260.5		80	33.29	even	10
891.2.k.a.161.10		80	99.95	even	30
891.2.k.a.161.11		80	99.40	odd	30
891.2.k.a.404.10		80	9.4	even	3
891.2.k.a.404.11		80	9.5	odd	6

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.p (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.337994 + 0.150485i) q^{2} +(-1.17234 - 1.27500i) q^{3} +(-1.24667 - 1.38456i) q^{4} +(-0.966595 - 2.17101i) q^{5} +(-0.204377 - 0.607361i) q^{6} +(0.327889 + 1.54259i) q^{7} +(-0.441671 - 1.35932i) q^{8} +(-0.251238 + 2.98946i) q^{9} -0.879247i q^{10} +(2.12913 - 2.54299i) q^{11} +(-0.303798 + 3.21268i) q^{12} +(6.09571 - 0.640685i) q^{13} +(-0.121313 + 0.570731i) q^{14} +(-1.63485 + 3.77757i) q^{15} +(-0.334222 + 3.17991i) q^{16} +(-0.887473 - 0.644787i) q^{17} +(-0.534786 + 0.972614i) q^{18} +(-0.534855 + 0.173785i) q^{19} +(-1.80088 + 4.04484i) q^{20} +(1.58241 - 2.22650i) q^{21} +(1.10232 - 0.539115i) q^{22} +(-4.81854 - 2.78199i) q^{23} +(-1.21535 + 2.15672i) q^{24} +(-0.433320 + 0.481251i) q^{25} +(2.15673 + 0.700764i) q^{26} +(4.10609 - 3.18434i) q^{27} +(1.72705 - 2.37708i) q^{28} +(-0.726096 + 0.154337i) q^{29} +(-1.12104 + 1.03078i) q^{30} +(0.661384 + 6.29265i) q^{31} +(-2.02077 + 3.50008i) q^{32} +(-5.73837 + 0.266612i) q^{33} +(-0.202930 - 0.351486i) q^{34} +(3.03205 - 2.20291i) q^{35} +(4.45231 - 3.37901i) q^{36} +(1.32443 - 4.07617i) q^{37} +(-0.206930 - 0.0217492i) q^{38} +(-7.96311 - 7.02091i) q^{39} +(-2.52419 + 2.27279i) q^{40} +(11.8871 + 2.52669i) q^{41} +(0.869900 - 0.514417i) q^{42} +(-7.35471 + 4.24624i) q^{43} +(-6.17525 + 0.222344i) q^{44} +(6.73299 - 2.34416i) q^{45} +(-1.20999 - 1.66541i) q^{46} +(0.571919 + 0.514959i) q^{47} +(4.44619 - 3.30180i) q^{48} +(4.12273 - 1.83556i) q^{49} +(-0.218881 + 0.0974520i) q^{50} +(0.218318 + 1.88744i) q^{51} +(-8.48639 - 7.64118i) q^{52} +(2.66042 + 3.66175i) q^{53} +(1.86703 - 0.458383i) q^{54} +(-7.57886 - 2.16432i) q^{55} +(1.95207 - 1.12703i) q^{56} +(0.848607 + 0.478204i) q^{57} +(-0.268642 - 0.0571016i) q^{58} +(-0.00834859 + 0.00751710i) q^{59} +(7.26840 - 2.44581i) q^{60} +(5.69949 + 0.599041i) q^{61} +(-0.723404 + 2.22641i) q^{62} +(-4.69390 + 0.592651i) q^{63} +(3.96382 - 2.87988i) q^{64} +(-7.28302 - 12.6146i) q^{65} +(-1.97966 - 0.773425i) q^{66} +(-0.738332 + 1.27883i) q^{67} +(0.213635 + 2.03260i) q^{68} +(2.10194 + 9.40507i) q^{69} +(1.35632 - 0.288295i) q^{70} +(-4.89992 + 6.74417i) q^{71} +(4.17461 - 0.978845i) q^{72} +(-14.9894 - 4.87035i) q^{73} +(1.06105 - 1.17842i) q^{74} +(1.12159 - 0.0117073i) q^{75} +(0.907402 + 0.523889i) q^{76} +(4.62092 + 2.45057i) q^{77} +(-1.63495 - 3.57136i) q^{78} +(1.29393 - 2.90621i) q^{79} +(7.22666 - 2.34809i) q^{80} +(-8.87376 - 1.50213i) q^{81} +(3.63756 + 2.64284i) q^{82} +(-1.08533 + 10.3262i) q^{83} +(-5.05547 + 0.584762i) q^{84} +(-0.542011 + 2.54996i) q^{85} +(-3.12484 + 0.328434i) q^{86} +(1.04801 + 0.744836i) q^{87} +(-4.39713 - 1.77101i) q^{88} +9.01115i q^{89} +(2.62847 + 0.220901i) q^{90} +(2.98703 + 9.19313i) q^{91} +(2.15528 + 10.1398i) q^{92} +(7.24775 - 8.22039i) q^{93} +(0.115812 + 0.260118i) q^{94} +(0.894277 + 0.993195i) q^{95} +(6.83162 - 1.52680i) q^{96} +(5.06083 + 2.25323i) q^{97} +1.66968 q^{98} +(7.06725 + 7.00385i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) \) 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Introduction

L-functions

Modular forms

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