LMFDB - Embedded newform 99.2.p.a.95.6

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			95.6
Character	$\chi$	$=$	99.95
Dual form			99.2.p.a.74.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.0386735 - 0.367954i) q^{2} +(0.199018 + 1.72058i) q^{3} +(1.82240 + 0.387363i) q^{4} +(-2.36345 + 0.248408i) q^{5} +(0.640791 - 0.00668863i) q^{6} +(1.17198 + 1.05526i) q^{7} +(0.441671 - 1.35932i) q^{8} +(-2.92078 + 0.684852i) q^{9} +0.879247i q^{10} +(3.26686 - 0.572386i) q^{11} +(-0.303798 + 3.21268i) q^{12} +(-2.49300 - 5.59938i) q^{13} +(0.433611 - 0.390425i) q^{14} +(-0.897775 - 4.01706i) q^{15} +(2.92099 + 1.30051i) q^{16} +(0.887473 - 0.644787i) q^{17} +(0.139037 + 1.10120i) q^{18} +(-0.534855 - 0.173785i) q^{19} +(-4.40337 - 0.462813i) q^{20} +(-1.58241 + 2.22650i) q^{21} +(-0.0842709 - 1.22419i) q^{22} +(-4.81854 - 2.78199i) q^{23} +(2.42673 + 0.489400i) q^{24} +(0.633436 - 0.134641i) q^{25} +(-2.15673 + 0.700764i) q^{26} +(-1.75963 - 4.88914i) q^{27} +(1.72705 + 2.37708i) q^{28} +(-0.496707 + 0.551649i) q^{29} +(-1.51281 + 0.174986i) q^{30} +(-5.78029 + 2.57355i) q^{31} +(2.02077 - 3.50008i) q^{32} +(1.63500 + 5.50698i) q^{33} +(-0.202930 - 0.351486i) q^{34} +(-3.03205 - 2.20291i) q^{35} +(-5.58812 + 0.116671i) q^{36} +(1.32443 + 4.07617i) q^{37} +(-0.0846296 + 0.190081i) q^{38} +(9.13802 - 5.40379i) q^{39} +(-0.706199 + 3.32241i) q^{40} +(8.13175 + 9.03123i) q^{41} +(0.758053 + 0.668360i) 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} +(-0.160007 - 0.752776i) q^{47} +(-1.65630 + 5.28462i) q^{48} +(-0.471726 - 4.48817i) q^{49} +(-0.0250445 - 0.238282i) q^{50} +(1.28603 + 1.39864i) q^{51} +(-2.37426 - 11.1700i) 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} +(0.192565 - 0.954846i) q^{57} +(0.183772 + 0.204100i) q^{58} +(0.00233571 - 0.0109886i) q^{59} +(-0.0800440 - 7.66846i) q^{60} +(-2.33096 + 5.23542i) q^{61} +(0.723404 + 2.22641i) q^{62} +(-4.14580 - 2.27954i) q^{63} +(3.96382 + 2.87988i) q^{64} +(7.28302 + 12.6146i) q^{65} +(2.08955 - 0.388631i) q^{66} +(-0.738332 + 1.27883i) q^{67} +(1.86710 - 0.831285i) q^{68} +(3.82765 - 8.84435i) q^{69} +(-0.927831 + 1.03046i) q^{70} +(4.89992 + 6.74417i) q^{71} +(-0.359090 + 4.27277i) q^{72} +(-14.9894 + 4.87035i) q^{73} +(1.55106 - 0.329689i) q^{74} +(0.357725 + 1.06308i) q^{75} +(-0.907402 - 0.523889i) q^{76} +(4.43271 + 2.77655i) q^{77} +(-1.63495 - 3.57136i) q^{78} +(-3.16382 - 0.332531i) q^{79} +(-7.22666 - 2.34809i) q^{80} +(8.06195 - 4.00061i) q^{81} +(3.63756 - 2.64284i) q^{82} +(-9.48546 - 4.22320i) q^{83} +(-3.74625 + 3.44461i) q^{84} +(-1.93732 + 1.74437i) q^{85} +(-1.27799 - 2.87041i) q^{86} +(-1.04801 - 0.744836i) q^{87} +(0.664820 - 4.69353i) q^{88} +9.01115i q^{89} +(-0.602154 - 2.56809i) q^{90} +(2.98703 - 9.19313i) q^{91} +(-7.70368 - 6.93642i) q^{92} +(-5.57838 - 9.43326i) q^{93} +(-0.283175 + 0.0297629i) q^{94} +(1.30727 + 0.277869i) q^{95} +(6.42433 + 2.78032i) q^{96} +(-0.579063 + 5.50942i) q^{97} -1.66968 q^{98} +(-9.14979 + 3.90913i) 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 $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.0386735	−	0.367954i	0.0273463	−	0.260183i	−0.972304	−	0.233722i	$-0.924910\pi$
$2$	0.0386735	−	0.367954i	0.0273463	−	0.260183i	0.999650	−	0.0264611i	$-0.00842382\pi$
$3$	0.199018	+	1.72058i	0.114903	+	0.993377i
$3$	0.199018	+	1.72058i	0.114903	+	0.993377i
$4$	1.82240	+	0.387363i	0.911200	+	0.193682i
$5$	−2.36345	+	0.248408i	−1.05697	+	0.111092i	−0.617031	−	0.786939i	$-0.711665\pi$
$5$	−2.36345	+	0.248408i	−1.05697	+	0.111092i	−0.439934	+	0.898030i	$0.644998\pi$
$6$	0.640791	−	0.00668863i	0.261602	−	0.00273062i
$7$	1.17198	+	1.05526i	0.442967	+	0.398850i	0.860205	−	0.509948i	$-0.170335\pi$
$7$	1.17198	+	1.05526i	0.442967	+	0.398850i	−0.417238	+	0.908797i	$0.637002\pi$
$8$	0.441671	−	1.35932i	0.156154	−	0.480594i
$9$	−2.92078	+	0.684852i	−0.973595	+	0.228284i
$10$			0.879247i			0.278042i
$11$	3.26686	−	0.572386i	0.984995	−	0.172581i
$11$	3.26686	−	0.572386i	0.984995	−	0.172581i
$12$	−0.303798	+	3.21268i	−0.0876990	+	0.927420i
$13$	−2.49300	−	5.59938i	−0.691435	−	1.55299i	−0.826989	−	0.562219i	$-0.809948\pi$
$13$	−2.49300	−	5.59938i	−0.691435	−	1.55299i	0.135553	−	0.990770i	$-0.456719\pi$
$14$	0.433611	−	0.390425i	0.115887	−	0.104345i
$15$	−0.897775	−	4.01706i	−0.231804	−	1.03720i
$16$	2.92099	+	1.30051i	0.730248	+	0.325127i
$17$	0.887473	−	0.644787i	0.215244	−	0.156384i	−0.474939	−	0.880019i	$-0.657530\pi$
$17$	0.887473	−	0.644787i	0.215244	−	0.156384i	0.690183	+	0.723635i	$0.257530\pi$
$18$	0.139037	+	1.10120i	0.0327714	+	0.259555i
$19$	−0.534855	−	0.173785i	−0.122704	−	0.0398690i	0.247021	−	0.969010i	$-0.420548\pi$
$19$	−0.534855	−	0.173785i	−0.122704	−	0.0398690i	−0.369725	+	0.929141i	$0.620548\pi$
$20$	−4.40337	−	0.462813i	−0.984624	−	0.103488i
$21$	−1.58241	+	2.22650i	−0.345310	+	0.485863i
$22$	−0.0842709	−	1.22419i	−0.0179666	−	0.260998i
$23$	−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	$0.863647\pi$
$24$	2.42673	+	0.489400i	0.495353	+	0.0998984i
$25$	0.633436	−	0.134641i	0.126687	−	0.0269282i
$26$	−2.15673	+	0.700764i	−0.422969	+	0.137431i
$27$	−1.75963	−	4.88914i	−0.338641	−	0.940916i
$28$	1.72705	+	2.37708i	0.326382	+	0.449227i
$29$	−0.496707	+	0.551649i	−0.0922363	+	0.102439i	−0.787496	−	0.616320i	$-0.788623\pi$
$29$	−0.496707	+	0.551649i	−0.0922363	+	0.102439i	0.695260	+	0.718759i	$0.255289\pi$
$30$	−1.51281	+	0.174986i	−0.276201	+	0.0319479i
$31$	−5.78029	+	2.57355i	−1.03817	+	0.462223i	−0.853782	−	0.520630i	$-0.825697\pi$
$31$	−5.78029	+	2.57355i	−1.03817	+	0.462223i	−0.184388	+	0.982854i	$0.559030\pi$
$32$	2.02077	−	3.50008i	0.357225	−	0.618732i
$33$	1.63500	+	5.50698i	0.284617	+	0.958641i
$34$	−0.202930	−	0.351486i	−0.0348023	−	0.0602793i
$35$	−3.03205	−	2.20291i	−0.512510	−	0.372360i
$36$	−5.58812	+	0.116671i	−0.931354	+	0.0194452i
$37$	1.32443	+	4.07617i	0.217735	+	0.670118i	0.998948	+	0.0458543i	$0.0146010\pi$
$37$	1.32443	+	4.07617i	0.217735	+	0.670118i	−0.781214	+	0.624264i	$0.785399\pi$
$38$	−0.0846296	+	0.190081i	−0.0137287	+	0.0308352i
$39$	9.13802	−	5.40379i	1.46325	−	0.865299i
$40$	−0.706199	+	3.32241i	−0.111660	+	0.525319i
$41$	8.13175	+	9.03123i	1.26997	+	1.41044i	0.869352	+	0.494194i	$0.164537\pi$
$41$	8.13175	+	9.03123i	1.26997	+	1.41044i	0.400614	+	0.916247i	$0.368797\pi$
$42$	0.758053	+	0.668360i	0.116970	+	0.103130i
$43$	7.35471	−	4.24624i	1.12158	−	0.647546i	0.179778	−	0.983707i	$-0.442462\pi$
$43$	7.35471	−	4.24624i	1.12158	−	0.647546i	0.941804	+	0.336162i	$0.109129\pi$
$44$	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
$47$	−0.160007	−	0.752776i	−0.0233395	−	0.109804i	0.964936	−	0.262486i	$-0.0845423\pi$
$47$	−0.160007	−	0.752776i	−0.0233395	−	0.109804i	−0.988275	+	0.152682i	$0.951209\pi$
$48$	−1.65630	+	5.28462i	−0.239066	+	0.762769i
$49$	−0.471726	−	4.48817i	−0.0673894	−	0.641167i
$50$	−0.0250445	−	0.238282i	−0.00354183	−	0.0336982i
$51$	1.28603	+	1.39864i	0.180080	+	0.195849i
$52$	−2.37426	−	11.1700i	−0.329251	−	1.54900i
$53$	−2.66042	+	3.66175i	−0.365437	+	0.502981i	−0.951653	−	0.307174i	$-0.900617\pi$
$53$	−2.66042	+	3.66175i	−0.365437	+	0.502981i	0.586217	+	0.810154i	$0.300617\pi$
$54$	−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
$57$	0.192565	−	0.954846i	0.0255058	−	0.126472i
$58$	0.183772	+	0.204100i	0.0241305	+	0.0267996i
$59$	0.00233571	−	0.0109886i	0.000304083	−	0.00143060i	−0.977995	−	0.208627i	$-0.933101\pi$
$59$	0.00233571	−	0.0109886i	0.000304083	−	0.00143060i	0.978299	+	0.207196i	$0.0664339\pi$
$60$	−0.0800440	−	7.66846i	−0.0103336	−	0.989993i
$61$	−2.33096	+	5.23542i	−0.298449	+	0.670327i	−0.999066	−	0.0432102i	$-0.986241\pi$
$61$	−2.33096	+	5.23542i	−0.298449	+	0.670327i	0.700617	+	0.713537i	$0.252908\pi$
$62$	0.723404	+	2.22641i	0.0918724	+	0.282754i
$63$	−4.14580	−	2.27954i	−0.522322	−	0.287195i
$64$	3.96382	+	2.87988i	0.495477	+	0.359985i
$65$	7.28302	+	12.6146i	0.903347	+	1.56464i
$66$	2.08955	−	0.388631i	0.257205	−	0.0478371i
$67$	−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	$0.195418\pi$
$68$	1.86710	−	0.831285i	0.226419	−	0.100808i
$69$	3.82765	−	8.84435i	0.460795	−	1.06473i
$70$	−0.927831	+	1.03046i	−0.110897	+	0.123164i
$71$	4.89992	+	6.74417i	0.581514	+	0.800385i	0.993860	−	0.110642i	$-0.0352906\pi$
$71$	4.89992	+	6.74417i	0.581514	+	0.800385i	−0.412346	+	0.911027i	$0.635291\pi$
$72$	−0.359090	+	4.27277i	−0.0423191	+	0.503551i
$73$	−14.9894	+	4.87035i	−1.75438	+	0.570031i	−0.996593	−	0.0824752i	$-0.973717\pi$
$73$	−14.9894	+	4.87035i	−1.75438	+	0.570031i	−0.757783	+	0.652507i	$0.773717\pi$
$74$	1.55106	−	0.329689i	0.180308	−	0.0383256i
$75$	0.357725	+	1.06308i	0.0413066	+	0.122754i
$76$	−0.907402	−	0.523889i	−0.104086	−	0.0600941i
$77$	4.43271	+	2.77655i	0.505155	+	0.316417i
$78$	−1.63495	−	3.57136i	−0.185121	−	0.404377i
$79$	−3.16382	−	0.332531i	−0.355957	−	0.0374126i	−0.0751377	−	0.997173i	$-0.523940\pi$
$79$	−3.16382	−	0.332531i	−0.355957	−	0.0374126i	−0.280820	+	0.959761i	$0.590606\pi$
$80$	−7.22666	−	2.34809i	−0.807965	−	0.262524i
$81$	8.06195	−	4.00061i	0.895773	−	0.444512i
$82$	3.63756	−	2.64284i	0.401701	−	0.291853i
$83$	−9.48546	−	4.22320i	−1.04116	−	0.463556i	−0.186346	−	0.982484i	$-0.559665\pi$
$83$	−9.48546	−	4.22320i	−1.04116	−	0.463556i	−0.854818	+	0.518928i	$0.826331\pi$
$84$	−3.74625	+	3.44461i	−0.408749	+	0.375838i
$85$	−1.93732	+	1.74437i	−0.210132	+	0.189204i
$86$	−1.27799	−	2.87041i	−0.137809	−	0.309524i
$87$	−1.04801	−	0.744836i	−0.112358	−	0.0798548i
$88$	0.664820	−	4.69353i	0.0708700	−	0.500332i
$89$			9.01115i			0.955180i	0.878583	+	0.477590i	$0.158489\pi$
$89$			9.01115i			0.955180i	−0.878583	+	0.477590i	$0.841511\pi$
$90$	−0.602154	−	2.56809i	−0.0634726	−	0.270700i
$91$	2.98703	−	9.19313i	0.313126	−	0.963702i
$92$	−7.70368	−	6.93642i	−0.803164	−	0.723172i
$93$	−5.57838	−	9.43326i	−0.578451	−	0.978183i
$94$	−0.283175	+	0.0297629i	−0.0292073	+	0.00306981i
$95$	1.30727	+	0.277869i	0.134123	+	0.0285087i
$96$	6.42433	+	2.78032i	0.655681	+	0.283765i
$97$	−0.579063	+	5.50942i	−0.0587950	+	0.559397i	0.924983	+	0.380008i	$0.124079\pi$
$97$	−0.579063	+	5.50942i	−0.0587950	+	0.559397i	−0.983778	+	0.179389i	$0.942588\pi$
$98$	−1.66968			−0.168664
$99$	−9.14979	+	3.90913i	−0.919589	+	0.392883i
$100$	1.20653			0.120653
$101$	1.01759	−	9.68168i	0.101254	−	0.963363i	−0.819463	−	0.573132i	$-0.805728\pi$
$101$	1.01759	−	9.68168i	0.101254	−	0.963363i	0.920717	−	0.390231i	$-0.127605\pi$
$102$	0.564372	−	0.419109i	0.0558811	−	0.0414980i
$103$	−1.85159	−	0.393567i	−0.182442	−	0.0387793i	0.115785	−	0.993274i	$-0.463062\pi$
$103$	−1.85159	−	0.393567i	−0.182442	−	0.0387793i	−0.298227	+	0.954495i	$0.596395\pi$
$104$	−8.71247	+	0.915717i	−0.854328	+	0.0897934i
$105$	3.18685	−	5.65530i	0.311005	−	0.551901i
$106$	1.24447	+	1.12053i	0.120874	+	0.108835i
$107$	3.79203	−	11.6707i	0.366590	−	1.12825i	−0.582390	−	0.812910i	$-0.697882\pi$
$107$	3.79203	−	11.6707i	0.366590	−	1.12825i	0.948980	−	0.315337i	$-0.102118\pi$
$108$	−1.31288	−	9.59159i	−0.126332	−	0.922951i
$109$		−	8.79322i		−	0.842238i	−0.907005	−	0.421119i	$-0.861638\pi$
$109$		−	8.79322i		−	0.842238i	0.907005	−	0.421119i	$-0.138362\pi$
$110$	0.503269	+	2.87238i	0.0479848	+	0.273870i
$111$	−6.74979	+	3.09001i	−0.640661	+	0.293291i
$112$	2.05098	+	4.60657i	0.193799	+	0.435280i
$113$	0.0344743	−	0.0310408i	0.00324307	−	0.00292007i	−0.667507	−	0.744603i	$-0.732639\pi$
$113$	0.0344743	−	0.0310408i	0.00324307	−	0.00292007i	0.670751	+	0.741683i	$0.265972\pi$
$114$	−0.343892	−	0.107782i	−0.0322085	−	0.0100947i
$115$	12.0794	+	5.37811i	1.12641	+	0.501512i
$116$	−1.11889	+	0.812920i	−0.103886	+	0.0754777i
$117$	11.1163	+	14.6472i	1.02770	+	1.35414i
$118$	−0.00395298	−	0.00128440i	−0.000363902	−	0.000118239i
$119$	1.72052	+	0.180834i	0.157720	+	0.0165770i
$120$	−5.85701	−	0.553853i	−0.534669	−	0.0505596i
$121$	10.3447	−	3.73981i	0.940432	−	0.339983i
$122$	1.83625	+	1.06016i	0.166246	+	0.0959823i
$123$	−13.9206	+	15.7887i	−1.25518	+	1.42362i
$124$	−11.5309	+	2.45097i	−1.03551	+	0.220103i
$125$	9.83712	−	3.19627i	0.879859	−	0.285883i
$126$	−0.999100	+	1.43731i	−0.0890069	+	0.128045i
$127$	3.88014	+	5.34055i	0.344307	+	0.473898i	0.945693	−	0.325061i	$-0.105385\pi$
$127$	3.88014	+	5.34055i	0.344307	+	0.473898i	−0.601386	+	0.798958i	$0.705385\pi$
$128$	6.62160	−	7.35403i	0.585272	−	0.650011i
$129$	8.76971	+	11.8093i	0.772130	+	1.03975i
$130$	4.92324	−	2.19197i	0.431797	−	0.192248i
$131$	−3.94169	+	6.82720i	−0.344387	+	0.596495i	−0.985242	−	0.171166i	$-0.945246\pi$
$131$	−3.94169	+	6.82720i	−0.344387	+	0.596495i	0.640855	+	0.767662i	$0.278580\pi$
$132$	0.846425	+	10.6693i	0.0736718	+	0.928639i
$133$	−0.443452	−	0.768082i	−0.0384522	−	0.0666011i
$134$	0.441997	+	0.321129i	0.0381827	+	0.0277414i
$135$	5.37330	+	11.1181i	0.462460	+	0.956895i
$136$	−0.484503	−	1.49115i	−0.0415458	−	0.127865i
$137$	−7.18217	+	16.1314i	−0.613614	+	1.37820i	0.292948	+	0.956128i	$0.405364\pi$
$137$	−7.18217	+	16.1314i	−0.613614	+	1.37820i	−0.906562	+	0.422072i	$0.861303\pi$
$138$	−3.10629	−	1.75044i	−0.264425	−	0.149008i
$139$	2.92780	−	13.7742i	0.248333	−	1.16831i	−0.660393	−	0.750920i	$-0.729610\pi$
$139$	2.92780	−	13.7742i	0.248333	−	1.16831i	0.908726	−	0.417393i	$-0.137056\pi$
$140$	−4.67228	−	5.18910i	−0.394880	−	0.438559i
$141$	1.26337	−	0.425122i	0.106395	−	0.0358017i
$142$	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
$146$	1.21237	+	5.70376i	0.100337	+	0.472047i
$147$	7.62837	−	1.70487i	0.629177	−	0.140615i
$148$	0.834680	+	7.94145i	0.0686103	+	0.652783i
$149$	−1.48901	−	14.1670i	−0.121985	−	1.16061i	−0.868657	−	0.495415i	$-0.835016\pi$
$149$	−1.48901	−	14.1670i	−0.121985	−	1.16061i	0.746672	−	0.665193i	$-0.231651\pi$
$150$	0.404999	−	0.0905135i	0.0330681	−	0.00739040i
$151$	0.535628	+	2.51993i	0.0435888	+	0.205069i	0.994553	−	0.104232i	$-0.0332383\pi$
$151$	0.535628	+	2.51993i	0.0435888	+	0.205069i	−0.950964	+	0.309301i	$0.899905\pi$
$152$	−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
$156$	18.7464	−	6.30813i	1.50091	−	0.505055i
$157$	3.80983	+	4.23125i	0.304058	+	0.337690i	0.875738	−	0.482786i	$-0.160375\pi$
$157$	3.80983	+	4.23125i	0.304058	+	0.337690i	−0.571681	+	0.820476i	$0.693708\pi$
$158$	−0.244712	+	1.15128i	−0.0194683	+	0.0915909i
$159$	−6.82981	−	3.84871i	−0.541639	−	0.305222i
$160$	−3.90654	+	8.77423i	−0.308839	+	0.693663i
$161$	−2.71153	−	8.34524i	−0.213699	−	0.657697i
$162$	−1.16026	−	3.12115i	−0.0911584	−	0.245221i
$163$	6.92500	+	5.03131i	0.542408	+	0.394083i	0.824979	−	0.565164i	$-0.191187\pi$
$163$	6.92500	+	5.03131i	0.542408	+	0.394083i	−0.282570	+	0.959247i	$0.591187\pi$
$164$	11.3209	+	19.6085i	0.884017	+	1.53116i
$165$	−5.23221	−	12.6093i	−0.407327	−	0.981632i
$166$	−1.92078	+	3.32689i	−0.149081	+	0.258217i
$167$	−2.78662	+	1.24068i	−0.215635	+	0.0960071i	−0.511712	−	0.859157i	$-0.670988\pi$
$167$	−2.78662	+	1.24068i	−0.215635	+	0.0960071i	0.296076	+	0.955164i	$0.404322\pi$
$168$	2.32764	+	3.13439i	0.179581	+	0.241823i
$169$	−16.4393	+	18.2577i	−1.26456	+	1.40444i
$170$	0.566927	+	0.780308i	0.0434813	+	0.0598469i
$171$	1.68121	+	0.141291i	0.128565	+	0.0108048i
$172$	15.0481	−	4.88941i	1.14740	−	0.372814i
$173$	−11.1264	+	2.36499i	−0.845926	+	0.179807i	−0.610432	−	0.792069i	$-0.709004\pi$
$173$	−11.1264	+	2.36499i	−0.845926	+	0.179807i	−0.235494	+	0.971876i	$0.575671\pi$
$174$	−0.314596	+	0.356814i	−0.0238494	+	0.0270500i
$175$	0.884456	+	0.510641i	0.0668586	+	0.0386008i
$176$	10.2869	+	2.57665i	0.775401	+	0.194222i
$177$	0.0193717	+	0.00183183i	0.00145606	+	0.000137689i
$178$	3.31569	+	0.348493i	0.248521	+	0.0261207i
$179$	10.1952	+	3.31261i	0.762023	+	0.247596i	0.664147	−	0.747602i	$-0.268795\pi$
$179$	10.1952	+	3.31261i	0.762023	+	0.247596i	0.0978766	+	0.995199i	$0.468795\pi$
$180$	13.1783	−	1.66388i	0.982249	−	0.124019i
$181$	14.3857	−	10.4518i	1.06928	−	0.776879i	0.0934987	−	0.995619i	$-0.470195\pi$
$181$	14.3857	−	10.4518i	1.06928	−	0.776879i	0.975783	+	0.218741i	$0.0701949\pi$
$182$	−3.26713	−	1.45462i	−0.242176	−	0.107824i
$183$	−9.47186	−	2.96866i	−0.700180	−	0.219450i
$184$	−5.90984	+	5.32124i	−0.435679	+	0.392287i
$185$	−4.14277	−	9.30481i	−0.304582	−	0.684103i
$186$	−3.68674	+	1.68777i	−0.270325	+	0.123753i
$187$	2.53018	−	2.61441i	0.185025	−	0.191184i
$188$		−	1.43384i		−	0.104574i
$189$	3.09704	−	7.58685i	0.225277	−	0.551862i
$190$	0.152800	−	0.470269i	0.0110853	−	0.0341169i
$191$	−15.1944	−	13.6811i	−1.09943	−	0.989927i	−0.0994383	−	0.995044i	$-0.531705\pi$
$191$	−15.1944	−	13.6811i	−1.09943	−	0.989927i	−0.999987	+	0.00511682i	$0.998371\pi$
$192$	−4.16620	+	7.39321i	−0.300669	+	0.533559i
$193$	15.1954	−	1.59710i	1.09379	−	0.114962i	0.459589	−	0.888132i	$-0.347997\pi$
$193$	15.1954	−	1.59710i	1.09379	−	0.114962i	0.634199	+	0.773170i	$0.281330\pi$
$194$	2.00482	+	0.426138i	0.143938	+	0.0305949i
$195$	−20.2549	+	15.0415i	−1.45048	+	1.07715i
$196$	0.878879	−	8.36197i	0.0627770	−	0.597284i
$197$	−13.1024			−0.933507			−0.466754	−	0.884387i	$-0.654576\pi$
$197$	−13.1024			−0.933507			−0.466754	+	0.884387i	$0.654576\pi$
$198$	1.08453	+	3.51788i	0.0770740	+	0.250005i
$199$	−4.72311			−0.334812			−0.167406	−	0.985888i	$-0.553539\pi$
$199$	−4.72311			−0.334812			−0.167406	+	0.985888i	$0.553539\pi$
$200$	0.0967497	−	0.920512i	0.00684124	−	0.0650900i
$201$	−2.34727	−	1.01585i	−0.165564	−	0.0716525i
$202$	−3.52306	−	0.748850i	−0.247882	−	0.0526889i
$203$	−1.16426	+	0.122369i	−0.0817153	+	0.00858862i
$204$	1.80188	+	3.04705i	0.126157	+	0.213336i
$205$	−21.4624	−	19.3248i	−1.49900	−	1.34970i
$206$	−0.216422	+	0.666078i	−0.0150788	+	0.0464078i
$207$	15.9792	+	4.82559i	1.11063	+	0.335402i
$208$		−	19.5979i		−	1.35887i
$209$	−1.84677	−	0.261587i	−0.127744	−	0.0180944i
$210$	−1.95765	−	1.39133i	−0.135090	−	0.0960107i
$211$	7.94634	+	17.8478i	0.547049	+	1.22869i	0.949649	+	0.313316i	$0.101440\pi$
$211$	7.94634	+	17.8478i	0.547049	+	1.22869i	−0.402600	+	0.915376i	$0.631893\pi$
$212$	−6.26678	+	5.64263i	−0.430404	+	0.387538i
$213$	−10.6287	+	9.77292i	−0.728266	+	0.669629i
$214$	−4.14762	−	1.84664i	−0.283526	−	0.126234i
$215$	−16.3277	+	11.8627i	−1.11354	+	0.809032i
$216$	−7.42311	+	0.232517i	−0.505079	+	0.0158208i
$217$	−9.49015	−	3.08354i	−0.644233	−	0.209324i
$218$	−3.23550	−	0.340065i	−0.219136	−	0.0230321i
$219$	−11.3630	−	24.8212i	−0.767839	−	1.67726i
$220$	−14.6501	+	1.00848i	−0.987710	+	0.0679920i
$221$	−5.82288	−	3.36184i	−0.391689	−	0.226142i
$222$	0.875945	+	2.60311i	0.0587896	+	0.174710i
$223$	16.0707	−	3.41593i	1.07617	−	0.228748i	0.364461	−	0.931219i	$-0.381253\pi$
$223$	16.0707	−	3.41593i	1.07617	−	0.228748i	0.711712	+	0.702471i	$0.247920\pi$
$224$	6.06179	−	1.96959i	0.405020	−	0.131599i
$225$	−1.75792	+	0.827067i	−0.117195	+	0.0551378i
$226$	−0.0100884	−	0.0138854i	−0.000671067	−	0.000923645i
$227$	18.1769	−	20.1875i	1.20645	−	1.33989i	0.281610	−	0.959529i	$-0.409131\pi$
$227$	18.1769	−	20.1875i	1.20645	−	1.33989i	0.924836	−	0.380366i	$-0.124202\pi$
$228$	0.720802	−	1.66552i	0.0477363	−	0.110302i
$229$	−3.96055	+	1.76335i	−0.261720	+	0.116525i	−0.533402	−	0.845862i	$-0.679087\pi$
$229$	−3.96055	+	1.76335i	−0.261720	+	0.116525i	0.271682	+	0.962387i	$0.412420\pi$
$230$	2.44605	−	4.23669i	0.161288	−	0.279359i
$231$	−3.89508	+	8.17942i	−0.256278	+	0.538166i
$232$	0.530489	+	0.918835i	0.0348283	+	0.0603244i
$233$	9.48697	+	6.89268i	0.621512	+	0.451555i	0.853449	−	0.521176i	$-0.174506\pi$
$233$	9.48697	+	6.89268i	0.621512	+	0.451555i	−0.231937	+	0.972731i	$0.574506\pi$
$234$	5.81942	−	3.52382i	0.380427	−	0.230359i
$235$	0.565165	+	1.73940i	0.0368673	+	0.113466i
$236$	0.00851319	−	0.0191209i	0.000554161	−	0.00124467i
$237$	−0.0575116	−	5.50978i	−0.00373578	−	0.357899i
$238$	0.133077	−	0.626078i	0.00862610	−	0.0405826i
$239$	12.0054	+	13.3334i	0.776566	+	0.862464i	0.993513	−	0.113719i	$-0.0362764\pi$
$239$	12.0054	+	13.3334i	0.776566	+	0.862464i	−0.216947	+	0.976183i	$0.569610\pi$
$240$	2.60183	−	12.9014i	0.167947	−	0.832779i
$241$	2.31388	−	1.33592i	0.149050	−	0.0860541i	−0.423620	−	0.905840i	$-0.639241\pi$
$241$	2.31388	−	1.33592i	0.149050	−	0.0860541i	0.572670	+	0.819786i	$0.305908\pi$
$242$	−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
$245$	2.22980	+	10.4904i	0.142456	+	0.670205i
$246$	5.27116	+	5.73274i	0.336077	+	0.365506i
$247$	0.360308	+	3.42810i	0.0229258	+	0.218125i
$248$	0.945302	+	8.99395i	0.0600268	+	0.571116i
$249$	5.37857	−	17.1610i	0.340853	−	1.08753i
$250$	−0.795646	−	3.74322i	−0.0503211	−	0.236742i
$251$	7.98861	−	10.9954i	0.504237	−	0.694022i	−0.478697	−	0.877980i	$-0.658891\pi$
$251$	7.98861	−	10.9954i	0.504237	−	0.694022i	0.982934	+	0.183958i	$0.0588909\pi$
$252$	−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
$255$	−3.38690	−	2.98616i	−0.212096	−	0.187000i
$256$	4.10701	+	4.56130i	0.256688	+	0.285081i
$257$	−0.988609	+	4.65104i	−0.0616677	+	0.290124i	−0.998165	−	0.0605507i	$-0.980714\pi$
$257$	−0.988609	+	4.65104i	−0.0616677	+	0.290124i	0.936497	+	0.350675i	$0.114048\pi$
$258$	4.68443	−	2.77015i	0.291640	−	0.172462i
$259$	−2.74920	+	6.17481i	−0.170827	+	0.383684i
$260$	8.38616	+	25.8099i	0.520088	+	1.60066i
$261$	1.07298	−	1.95142i	0.0664156	−	0.120790i
$262$	2.35966	+	1.71439i	0.145780	+	0.105915i
$263$	−9.26116	−	16.0408i	−0.571067	−	0.989118i	−0.996457	−	0.0841073i	$-0.973196\pi$
$263$	−9.26116	−	16.0408i	−0.571067	−	0.989118i	0.425389	−	0.905010i	$-0.360137\pi$
$264$	8.20790	+	0.209778i	0.505161	+	0.0129109i
$265$	5.37815	−	9.31523i	0.330377	−	0.572230i
$266$	−0.299769	+	0.133466i	−0.0183800	+	0.00818330i
$267$	−15.5044	+	1.79338i	−0.948853	+	0.109753i
$268$	−1.84091	+	2.04454i	−0.112451	+	0.124890i
$269$	12.6954	+	17.4737i	0.774049	+	1.06539i	0.995914	+	0.0903100i	$0.0287858\pi$
$269$	12.6954	+	17.4737i	0.774049	+	1.06539i	−0.221864	+	0.975078i	$0.571214\pi$
$270$	4.29876	−	1.54715i	0.261614	−	0.0941566i
$271$	−0.869236	+	0.282432i	−0.0528023	+	0.0171565i	−0.335299	−	0.942112i	$-0.608837\pi$
$271$	−0.869236	+	0.282432i	−0.0528023	+	0.0171565i	0.282497	+	0.959268i	$0.408837\pi$
$272$	3.43085	−	0.729250i	0.208026	−	0.0442173i
$273$	16.4120	+	3.30982i	0.993298	+	0.200319i
$274$	5.65786	+	3.26657i	0.341804	+	0.197341i
$275$	1.99228	−	0.802423i	0.120139	−	0.0483879i
$276$	10.4015	−	14.6353i	0.626096	−	0.880939i
$277$	−14.7319	−	1.54838i	−0.885153	−	0.0930333i	−0.348969	−	0.937134i	$-0.613468\pi$
$277$	−14.7319	−	1.54838i	−0.885153	−	0.0930333i	−0.536184	+	0.844101i	$0.680135\pi$
$278$	−4.95505	−	1.60999i	−0.297184	−	0.0965610i
$279$	15.1205	−	11.4754i	0.905239	−	0.687016i
$280$	−4.33365	+	3.14858i	−0.258985	+	0.188164i
$281$	−1.67870	−	0.747406i	−0.100143	−	0.0445865i	0.356054	−	0.934465i	$-0.384122\pi$
$281$	−1.67870	−	0.747406i	−0.100143	−	0.0445865i	−0.456197	+	0.889879i	$0.650789\pi$
$282$	−0.107566	−	0.481302i	−0.00640549	−	0.0286611i
$283$	8.96978	−	8.07643i	0.533198	−	0.480094i	−0.357991	−	0.933725i	$-0.616538\pi$
$283$	8.96978	−	8.07643i	0.533198	−	0.480094i	0.891190	+	0.453631i	$0.149872\pi$
$284$	6.31718	+	14.1886i	0.374856	+	0.841940i
$285$	−0.217925	+	2.30456i	−0.0129088	+	0.136510i
$286$	−6.64462	+	3.52378i	−0.392905	+	0.208365i
$287$			19.1655i			1.13130i
$288$	−3.50520	+	11.6069i	−0.206546	+	0.683943i
$289$	−4.88143	+	15.0235i	−0.287143	+	0.883735i
$290$	−0.485036	−	0.436728i	−0.0284823	−	0.0256456i
$291$	−9.59464	+	0.100150i	−0.562448	+	0.00587088i
$292$	−29.2033	+	3.06939i	−1.70899	+	0.179622i
$293$	−16.7085	−	3.55150i	−0.976120	−	0.207481i	−0.307879	−	0.951426i	$-0.599619\pi$
$293$	−16.7085	−	3.55150i	−0.976120	−	0.207481i	−0.668241	+	0.743945i	$0.732952\pi$
$294$	−0.332297	−	2.87282i	−0.0193800	−	0.167546i
$295$	−0.00279065	+	0.0265513i	−0.000162478	+	0.00154587i
$296$	6.12580			0.356055
$297$	−8.54695	−	14.9649i	−0.495944	−	0.868354i
$298$	−5.27040			−0.305306
$299$	−3.56475	+	33.9164i	−0.206155	+	1.96143i
$300$	0.240121	+	2.07593i	0.0138634	+	0.119854i
$301$	13.1005	+	2.78459i	0.755098	+	0.160501i
$302$	0.947934	−	0.0996319i	0.0545475	−	0.00573317i
$303$	16.8606	−	0.175993i	0.968617	−	0.0101105i
$304$	−1.33630	−	1.20321i	−0.0766419	−	0.0690087i
$305$	4.20858	−	12.9527i	0.240983	−	0.741668i
$306$	0.833431	+	0.887636i	0.0476441	+	0.0507428i
$307$			16.6906i			0.952585i	0.879287	+	0.476293i	$0.158020\pi$
$307$			16.6906i			0.952585i	−0.879287	+	0.476293i	$0.841980\pi$
$308$	7.00265	+	6.77706i	0.399013	+	0.386159i
$309$	0.308664	−	3.26413i	0.0175593	−	0.185690i
$310$	−2.26279	−	5.08230i	−0.128518	−	0.288655i
$311$	21.9566	−	19.7698i	1.24504	−	1.12104i	0.257074	−	0.966392i	$-0.417242\pi$
$311$	21.9566	−	19.7698i	1.24504	−	1.12104i	0.987969	−	0.154650i	$-0.0494250\pi$
$312$	−3.30950	−	14.8082i	−0.187364	−	0.838352i
$313$	14.7478	+	6.56615i	0.833596	+	0.371141i	0.778735	−	0.627353i	$-0.215862\pi$
$313$	14.7478	+	6.56615i	0.833596	+	0.371141i	0.0548610	+	0.998494i	$0.482528\pi$
$314$	1.70424	−	1.23821i	0.0961761	−	0.0698760i
$315$	10.3646	+	4.35773i	0.583981	+	0.245530i
$316$	−5.63693	−	1.83155i	−0.317102	−	0.103033i
$317$	8.33839	+	0.876400i	0.468331	+	0.0492235i	0.335755	−	0.941949i	$-0.391009\pi$
$317$	8.33839	+	0.876400i	0.468331	+	0.0492235i	0.132576	+	0.991173i	$0.457675\pi$
$318$	−1.68028	+	2.36421i	−0.0942255	+	0.132579i
$319$	−1.30692	+	2.08647i	−0.0731733	+	0.116820i
$320$	−10.0837	−	5.82181i	−0.563694	−	0.325449i
$321$	20.8350	+	4.20182i	1.16290	+	0.234523i
$322$	−3.17553	+	0.674980i	−0.176965	+	0.0376152i
$323$	−0.586723	+	0.190638i	−0.0326462	+	0.0106074i
$324$	16.2418	−	4.16781i	0.902322	−	0.231545i
$325$	−2.33306	−	3.21119i	−0.129415	−	0.178125i
$326$	2.11911	−	2.35351i	0.117366	−	0.130349i
$327$	15.1294	−	1.75001i	0.836659	−	0.0967757i
$328$	15.8679	−	7.06486i	0.876160	−	0.390092i
$329$	0.606846	−	1.05109i	0.0334565	−	0.0579484i
$330$	−4.84199	+	1.43757i	−0.266543	+	0.0791355i
$331$	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
$333$	−6.65994	−	10.9986i	−0.364963	−	0.602718i
$334$	0.348746	+	1.07333i	0.0190826	+	0.0587301i
$335$	1.42734	−	3.20585i	0.0779838	−	0.175154i
$336$	−7.51778	+	4.44566i	−0.410129	+	0.242530i
$337$	−4.61956	+	21.7333i	−0.251644	+	1.18389i	0.652878	+	0.757463i	$0.273561\pi$
$337$	−4.61956	+	21.7333i	−0.251644	+	1.18389i	−0.904522	+	0.426427i	$0.859772\pi$
$338$	6.08223	+	6.75500i	0.330829	+	0.367423i
$339$	0.0602692	+	0.0531381i	0.00327337	+	0.00288607i
$340$	−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
$344$	−2.52366	−	11.8729i	−0.136067	−	0.640143i
$345$	−6.84944	+	21.8540i	−0.368762	+	1.17658i
$346$	0.439911	+	4.18547i	0.0236498	+	0.225012i
$347$	−1.25369	−	11.9281i	−0.0673017	−	0.640333i	−0.975228	−	0.221203i	$-0.929002\pi$
$347$	−1.25369	−	11.9281i	−0.0673017	−	0.640333i	0.907926	−	0.419130i	$-0.137665\pi$
$348$	−1.62137	−	1.76335i	−0.0869147	−	0.0945255i
$349$	2.11394	+	9.94531i	0.113157	+	0.532360i	0.997812	+	0.0661146i	$0.0210603\pi$
$349$	2.11394	+	9.94531i	0.113157	+	0.532360i	−0.884655	+	0.466245i	$0.845606\pi$
$350$	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	$0.372527\pi$
$354$	0.00142320	−	0.00705704i	7.56423e−5	−	0.000375078i
$355$	−13.2560	−	14.7223i	−0.703556	−	0.781378i
$356$	−3.49059	+	16.4219i	−0.185001	+	0.870360i
$357$	0.0312754	+	2.99628i	0.00165527	+	0.158580i
$358$	1.61317	−	3.62325i	0.0852589	−	0.191495i
$359$	−2.51158	−	7.72985i	−0.132556	−	0.407966i	0.862646	−	0.505809i	$-0.168806\pi$
$359$	−2.51158	−	7.72985i	−0.132556	−	0.407966i	−0.995202	+	0.0978426i	$0.968806\pi$
$360$	−0.212703	−	10.1877i	−0.0112104	−	0.536938i
$361$	−15.1155	−	10.9820i	−0.795550	−	0.578001i
$362$	−3.28945	−	5.69749i	−0.172890	−	0.299454i
$363$	8.49343	+	17.0547i	0.445790	+	0.895138i
$364$	9.00465	−	15.5965i	0.471972	−	0.817479i
$365$	34.2168	−	15.2343i	1.79099	−	0.797400i
$366$	−1.45864	+	3.37040i	−0.0762444	+	0.176174i
$367$	25.3961	−	28.2052i	1.32567	−	1.47230i	0.561111	−	0.827740i	$-0.310374\pi$
$367$	25.3961	−	28.2052i	1.32567	−	1.47230i	0.764554	−	0.644560i	$-0.222959\pi$
$368$	−10.4569	−	14.3927i	−0.545105	−	0.750272i
$369$	−29.9361	−	20.8092i	−1.55841	−	1.08328i
$370$	−3.58396	+	1.16450i	−0.186321	+	0.0605394i
$371$	−6.98206	+	1.48408i	−0.362490	+	0.0770497i
$372$	−6.51194	−	19.3520i	−0.337628	−	1.00336i
$373$	−5.61495	−	3.24179i	−0.290731	−	0.167854i	0.347540	−	0.937665i	$-0.387017\pi$
$373$	−5.61495	−	3.24179i	−0.290731	−	0.167854i	−0.638272	+	0.769811i	$0.720350\pi$
$374$	−0.864130	−	1.03210i	−0.0446831	−	0.0533686i
$375$	7.45720	+	16.2894i	0.385088	+	0.841182i
$376$	−1.09394	−	0.114978i	−0.0564155	−	0.00592951i
$377$	4.32719	+	1.40599i	0.222862	+	0.0724121i
$378$	−2.67184	−	1.43298i	−0.137425	−	0.0737046i
$379$	−10.0492	+	7.30119i	−0.516194	+	0.375037i	−0.815168	−	0.579224i	$-0.803356\pi$
$379$	−10.0492	+	7.30119i	−0.516194	+	0.375037i	0.298974	+	0.954261i	$0.403356\pi$
$380$	2.27473	+	1.01278i	0.116691	+	0.0519544i
$381$	−8.41663	+	7.73895i	−0.431197	+	0.396479i
$382$	−5.62162	+	5.06173i	−0.287627	+	0.258981i
$383$	5.80437	+	13.0368i	0.296590	+	0.666151i	0.998957	−	0.0456636i	$-0.0145402\pi$
$383$	5.80437	+	13.0368i	0.296590	+	0.666151i	−0.702367	+	0.711815i	$0.747874\pi$
$384$	13.9710	+	9.92940i	0.712955	+	0.506708i
$385$	−11.1662	−	5.46111i	−0.569082	−	0.278324i
$386$		−	5.65297i		−	0.287729i
$387$	−18.5735	+	17.4392i	−0.944142	+	0.886486i
$388$	−3.18943	+	9.81606i	−0.161919	+	0.498335i
$389$	−8.00313	−	7.20605i	−0.405775	−	0.365361i	0.440823	−	0.897594i	$-0.354687\pi$
$389$	−8.00313	−	7.20605i	−0.405775	−	0.365361i	−0.846598	+	0.532233i	$0.821353\pi$
$390$	4.75127	+	8.03458i	0.240590	+	0.406847i
$391$	−6.07012	+	0.637995i	−0.306979	+	0.0322648i
$392$	−6.30923	−	1.34107i	−0.318664	−	0.0677342i
$393$	−12.5312	−	5.42325i	−0.632116	−	0.273567i
$394$	−0.506716	+	4.82108i	−0.0255280	+	0.242883i
$395$	7.56012			0.380391
$396$	−18.1888	+	3.57971i	−0.914024	+	0.179887i
$397$	13.8356			0.694387			0.347193	−	0.937794i	$-0.387135\pi$
$397$	13.8356			0.694387			0.347193	+	0.937794i	$0.387135\pi$
$398$	−0.182659	+	1.73789i	−0.00915589	+	0.0871125i
$399$	1.23329	−	0.915857i	0.0617417	−	0.0458502i
$400$	2.02536	+	0.430504i	0.101268	+	0.0215252i
$401$	−35.6592	+	3.74793i	−1.78073	+	0.187163i	−0.936936	−	0.349500i	$-0.886351\pi$
$401$	−35.6592	+	3.74793i	−1.78073	+	0.187163i	−0.843797	+	0.536663i	$0.819685\pi$
$402$	−0.464563	+	0.824401i	−0.0231703	+	0.0411174i
$403$	28.8206	+	25.9502i	1.43565	+	1.29267i
$404$	5.60477	−	17.2497i	0.278848	−	0.858206i
$405$	−18.0602	+	11.4579i	−0.897419	+	0.569347i
$406$			0.433128i			0.0214958i
$407$	6.65986	+	12.5582i	0.330117	+	0.622487i
$408$	2.46921	−	1.13039i	0.122244	−	0.0559627i
$409$	−6.39194	−	14.3565i	−0.316061	−	0.709885i	0.683742	−	0.729724i	$-0.260351\pi$
$409$	−6.39194	−	14.3565i	−0.316061	−	0.709885i	−0.999803	+	0.0198391i	$0.993685\pi$
$410$	−7.94068	+	7.14982i	−0.392162	+	0.353104i
$411$	−29.1848	−	9.14705i	−1.43958	−	0.451191i
$412$	−3.22188	−	1.43447i	−0.158730	−	0.0706714i
$413$	0.0143332	−	0.0104137i	0.000705293	−	0.000512425i
$414$	2.39357	−	5.69298i	0.117637	−	0.279795i
$415$	23.4675	+	7.62504i	1.15197	+	0.374298i
$416$	−24.6361	−	2.58935i	−1.20788	−	0.126954i
$417$	24.2823	+	2.29619i	1.18911	+	0.112445i
$418$	−0.167673	+	0.669409i	−0.00820116	+	0.0327419i
$419$	−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	$0.787834\pi$
$420$	7.99838	−	9.07176i	0.390281	−	0.442656i
$421$	11.8761	−	2.52435i	0.578807	−	0.123029i	0.0908001	−	0.995869i	$-0.471058\pi$
$421$	11.8761	−	2.52435i	0.578807	−	0.123029i	0.488006	+	0.872840i	$0.337724\pi$
$422$	6.87448	−	2.23365i	0.334644	−	0.108733i
$423$	0.982888	+	2.08911i	0.0477896	+	0.101576i
$424$	3.80248	+	5.23367i	0.184665	+	0.254169i
$425$	0.475342	−	0.527921i	0.0230575	−	0.0256079i
$426$	3.18494	+	4.28883i	0.154311	+	0.207794i
$427$	−8.25656	+	3.67606i	−0.399563	+	0.177897i
$428$	11.4314	−	19.7998i	0.552557	−	0.957057i
$429$	26.7596	−	22.8839i	1.29197	−	1.10485i
$430$	3.73349	+	6.46660i	0.180045	+	0.311847i
$431$	−20.7468	−	15.0734i	−0.999336	−	0.726060i	−0.0373906	−	0.999301i	$-0.511905\pi$
$431$	−20.7468	−	15.0734i	−0.999336	−	0.726060i	−0.961946	+	0.273240i	$0.911905\pi$
$432$	1.21850	−	16.5696i	0.0586253	−	0.797203i
$433$	−0.399073	−	1.22822i	−0.0191782	−	0.0590245i	0.941009	−	0.338380i	$-0.109879\pi$
$433$	−0.399073	−	1.22822i	−0.0191782	−	0.0590245i	−0.960188	+	0.279356i	$0.909879\pi$
$434$	−1.50162	+	3.37269i	−0.0720799	+	0.161894i
$435$	2.66194	+	1.50005i	0.127630	+	0.0719217i
$436$	3.40617	−	16.0248i	0.163126	−	0.767447i
$437$	2.09375	+	2.32535i	0.100158	+	0.111237i
$438$	−9.57249	+	3.22113i	−0.457391	+	0.153912i
$439$	−7.78450	+	4.49438i	−0.371534	+	0.214505i	−0.674128	−	0.738614i	$-0.735481\pi$
$439$	−7.78450	+	4.49438i	−0.371534	+	0.214505i	0.302595	+	0.953119i	$0.402147\pi$
$440$	−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
$443$	−2.98230	−	14.0306i	−0.141693	−	0.666614i	−0.990455	−	0.137838i	$-0.955985\pi$
$443$	−2.98230	−	14.0306i	−0.141693	−	0.666614i	0.848762	−	0.528776i	$-0.177349\pi$
$444$	−13.4978	+	3.01662i	−0.640576	+	0.143163i
$445$	−2.23844	−	21.2974i	−0.106112	−	1.00959i
$446$	−0.635396	−	6.04538i	−0.0300869	−	0.286257i
$447$	24.0791	−	5.38146i	1.13890	−	0.254534i
$448$	1.60651	+	7.55802i	0.0759003	+	0.357083i
$449$	8.37515	−	11.5274i	0.395248	−	0.544012i	−0.564296	−	0.825573i	$-0.690852\pi$
$449$	8.37515	−	11.5274i	0.395248	−	0.544012i	0.959543	+	0.281561i	$0.0908522\pi$
$450$	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
$453$	−4.22914	+	1.42310i	−0.198702	+	0.0668632i
$454$	−6.72512	−	7.46901i	−0.315626	−	0.350538i
$455$	−4.77604	+	22.4695i	−0.223904	+	1.05339i
$456$	−1.21290	−	0.683486i	−0.0567990	−	0.0320072i
$457$	10.5654	−	23.7302i	0.494227	−	1.11005i	−0.478498	−	0.878089i	$-0.658818\pi$
$457$	10.5654	−	23.7302i	0.494227	−	1.11005i	0.972725	−	0.231963i	$-0.0745149\pi$
$458$	0.495664	+	1.52550i	0.0231608	+	0.0712817i
$459$	−4.71408	−	3.20439i	−0.220034	−	0.149568i
$460$	19.9303	+	14.4802i	0.929255	+	0.675143i
$461$	5.82733	+	10.0932i	0.271406	+	0.470089i	0.969222	−	0.246188i	$-0.0791781\pi$
$461$	5.82733	+	10.0932i	0.271406	+	0.470089i	−0.697816	+	0.716277i	$0.745845\pi$
$462$	2.85901	+	1.74954i	0.133013	+	0.0813959i
$463$	−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	$0.309463\pi$
$464$	−2.16830	+	0.965391i	−0.100661	+	0.0448171i
$465$	15.5275	+	20.9093i	0.720070	+	0.969645i
$466$	2.90309	−	3.22420i	0.134483	−	0.149358i
$467$	−1.77499	−	2.44307i	−0.0821369	−	0.113052i	0.765971	−	0.642875i	$-0.222258\pi$
$467$	−1.77499	−	2.44307i	−0.0821369	−	0.113052i	−0.848108	+	0.529823i	$0.822258\pi$
$468$	14.5845	+	30.9992i	0.674169	+	1.43294i
$469$	−2.21481	+	0.719634i	−0.102270	+	0.0332296i
$470$	0.661876	−	0.140686i	0.0305301	−	0.00648937i
$471$	−6.52197	+	7.39721i	−0.300517	+	0.340846i
$472$	−0.0139055	−	0.00802835i	−0.000640053	−	0.000369535i
$473$	21.5963	−	18.0816i	0.992999	−	0.831393i
$474$	−2.02957	−	0.191921i	−0.0932213	−	0.00881523i
$475$	−0.362195	−	0.0380682i	−0.0166186	−	0.00174669i
$476$	3.06542	+	0.996017i	0.140503	+	0.0456523i
$477$	5.26275	−	12.5172i	0.240965	−	0.573123i
$478$	5.37036	−	3.90180i	0.245635	−	0.178464i
$479$	35.3397	+	15.7343i	1.61471	+	0.718917i	0.997684	−	0.0680220i	$-0.0216688\pi$
$479$	35.3397	+	15.7343i	1.61471	+	0.718917i	0.617031	+	0.786939i	$0.288335\pi$
$480$	−15.8742	−	4.97528i	−0.724556	−	0.227089i
$481$	19.5222	−	17.5779i	0.890137	−	0.801483i
$482$	−0.402071	−	0.903067i	−0.0183138	−	0.0411336i
$483$	13.8190	−	6.32626i	0.628786	−	0.287855i
$484$	20.3009	−	2.80826i	0.922770	−	0.127648i
$485$		−	13.1651i		−	0.597795i
$486$	5.13927	−	2.61748i	0.233122	−	0.118731i
$487$	−3.79422	+	11.6774i	−0.171933	+	0.529154i	−0.999480	−	0.0322416i	$-0.989735\pi$
$487$	−3.79422	+	11.6774i	−0.171933	+	0.529154i	0.827548	+	0.561396i	$0.189735\pi$
$488$	6.08712	+	5.48087i	0.275551	+	0.248107i
$489$	−7.27857	+	12.9163i	−0.329148	+	0.584097i
$490$	3.94621	−	0.414763i	0.178272	−	0.0187371i
$491$	−35.6716	−	7.58222i	−1.60984	−	0.342181i	−0.686785	−	0.726861i	$-0.740979\pi$
$491$	−35.6716	−	7.58222i	−1.60984	−	0.342181i	−0.923050	+	0.384680i	$0.874312\pi$
$492$	−31.4848	+	23.3810i	−1.41945	+	1.05410i
$493$	−0.0851181	+	0.809844i	−0.00383352	+	0.0364736i
$494$	1.27532			0.0573793
$495$	20.6540	−	11.5119i	0.928327	−	0.517422i
$496$	−20.2311			−0.908403
$497$	−1.37421	+	13.0747i	−0.0616417	+	0.586481i
$498$	−6.10644	−	2.64274i	−0.273636	−	0.118424i
$499$	−23.7506	−	5.04835i	−1.06322	−	0.225995i	−0.357087	−	0.934071i	$-0.616230\pi$
$499$	−23.7506	−	5.04835i	−1.06322	−	0.225995i	−0.706136	+	0.708076i	$0.749563\pi$
$500$	19.1653	−	2.01435i	0.857098	−	0.0900846i
$501$	−2.68928	−	4.54769i	−0.120148	−	0.203176i
$502$	−3.73685	−	3.36467i	−0.166784	−	0.150173i
$503$	−6.87821	+	21.1689i	−0.306684	+	0.943876i	0.672359	+	0.740225i	$0.265281\pi$
$503$	−6.87821	+	21.1689i	−0.306684	+	0.943876i	−0.979043	+	0.203652i	$0.934719\pi$
$504$	−4.92972	+	4.62868i	−0.219587	+	0.206178i
$505$			23.1349i			1.02949i
$506$	−2.99962	+	6.13326i	−0.133349	+	0.272657i
$507$	−34.6855	−	24.6515i	−1.54044	−	1.09481i
$508$	5.00244	+	11.2357i	0.221947	+	0.498501i
$509$	−21.0596	+	18.9621i	−0.933448	+	0.840481i	−0.987429	−	0.158061i	$-0.949476\pi$
$509$	−21.0596	+	18.9621i	−0.933448	+	0.840481i	0.0539810	+	0.998542i	$0.482809\pi$
$510$	−1.22975	+	1.13074i	−0.0544544	+	0.0500699i
$511$	−22.7068	−	10.1097i	−1.00449	−	0.447227i
$512$	17.8490	−	12.9680i	0.788820	−	0.573111i
$513$	0.0914886	+	2.92078i	0.00403932	+	0.128955i
$514$	1.67314	+	0.543635i	0.0737989	+	0.0239787i
$515$	4.47389	+	0.470225i	0.197143	+	0.0207206i
$516$	11.4075	+	24.9183i	0.502185	+	1.09697i
$517$	−0.953601	−	2.36763i	−0.0419393	−	0.104128i
$518$	2.16573	+	1.25038i	0.0951565	+	0.0549386i
$519$	−6.28351	−	18.6732i	−0.275816	−	0.819663i
$520$	20.3640	−	4.32850i	0.893019	−	0.189817i
$521$	14.9548	−	4.85911i	0.655182	−	0.212882i	0.0374843	−	0.999297i	$-0.488066\pi$
$521$	14.9548	−	4.85911i	0.655182	−	0.212882i	0.617698	+	0.786416i	$0.288066\pi$
$522$	−0.676537	−	0.470274i	−0.0296112	−	0.0205834i
$523$	8.59617	+	11.8316i	0.375884	+	0.517360i	0.954488	−	0.298248i	$-0.0964023\pi$
$523$	8.59617	+	11.8316i	0.375884	+	0.517360i	−0.578604	+	0.815609i	$0.696402\pi$
$524$	−9.82794	+	10.9150i	−0.429335	+	0.476825i
$525$	−0.702575	+	1.62340i	−0.0306629	+	0.0708511i
$526$	−6.26044	+	2.78733i	−0.272968	+	0.121533i
$527$	−3.47046	+	6.01101i	−0.151175	+	0.261844i
$528$	−2.38605	+	18.2122i	−0.103840	+	0.792582i
$529$	3.97891	+	6.89168i	0.172996	+	0.299638i
$530$	−3.21959	−	2.33917i	−0.139850	−	0.101607i
$531$	0.000703501		0.0336950i	3.05293e−5		0.00146224i
$532$	−0.510621	−	1.57153i	−0.0221382	−	0.0681345i
$533$	30.2968	−	68.0477i	1.31230	−	2.94747i
$534$	0.0602723	+	5.77426i	0.00260824	+	0.249877i
$535$	−6.06318	+	28.5250i	−0.262134	+	1.23324i
$536$	1.41224	+	1.56846i	0.0609997	+	0.0677470i
$537$	−3.67059	+	18.2009i	−0.158398	+	0.785426i
$538$	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	−0.521497	−	0.853253i	$-0.674626\pi$
$541$	10.4934	−	14.4429i	0.451146	−	0.620950i	0.972643	+	0.232303i	$0.0746262\pi$
$542$	0.0703055	+	0.330762i	0.00301988	+	0.0142074i
$543$	20.8462	+	22.6717i	0.894597	+	0.972934i
$544$	−0.463425	−	4.40919i	−0.0198692	−	0.189043i
$545$	2.18431	+	20.7823i	0.0935655	+	0.890216i
$546$	1.85257	−	5.91085i	0.0792828	−	0.252961i
$547$	−0.938395	−	4.41480i	−0.0401229	−	0.188763i	0.953522	−	0.301323i	$-0.0974283\pi$
$547$	−0.938395	−	4.41480i	−0.0401229	−	0.188763i	−0.993645	+	0.112560i	$0.964095\pi$
$548$	−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
$552$	−10.3318	−	9.10932i	−0.439750	−	0.387718i
$553$	−3.35703	−	3.72836i	−0.142756	−	0.158546i
$554$	−1.13947	+	5.36077i	−0.0484113	+	0.227757i
$555$	15.1852	−	8.97979i	0.644575	−	0.381171i
$556$	10.6712	−	23.9680i	0.452561	−	1.01647i
$557$	8.48770	+	26.1225i	0.359635	+	1.10684i	0.953273	+	0.302111i	$0.0976914\pi$
$557$	8.48770	+	26.1225i	0.359635	+	1.10684i	−0.593637	+	0.804733i	$0.702309\pi$
$558$	−3.63767	−	6.00743i	−0.153995	−	0.254315i
$559$	−42.1116	−	30.5959i	−1.78113	−	1.29407i
$560$	−5.99168	−	10.3779i	−0.253195	−	0.438546i
$561$	5.00184	+	3.83306i	0.211178	+	0.161832i
$562$	−0.339933	+	0.588781i	−0.0143392	+	0.0248362i
$563$	9.56320	−	4.25781i	0.403041	−	0.179445i	−0.195197	−	0.980764i	$-0.562535\pi$
$563$	9.56320	−	4.25781i	0.403041	−	0.179445i	0.598238	+	0.801319i	$0.295868\pi$
$564$	2.46704	−	0.285360i	0.103881	−	0.0120158i
$565$	−0.0737674	+	0.0819270i	−0.00310342	+	0.00344670i
$566$	−2.62486	−	3.61281i	−0.110331	−	0.151858i
$567$	13.6701	+	3.81879i	0.574092	+	0.160374i
$568$	11.3317	−	3.68188i	0.475466	−	0.154488i
$569$	−36.2644	+	7.70823i	−1.52028	+	0.323146i	−0.890990	−	0.454023i	$-0.849988\pi$
$569$	−36.2644	+	7.70823i	−1.52028	+	0.323146i	−0.629292	+	0.777169i	$0.716655\pi$
$570$	0.839545	+	0.169312i	0.0351647	+	0.00709170i
$571$	−5.32451	−	3.07411i	−0.222824	−	0.128647i	0.384433	−	0.923153i	$-0.374397\pi$
$571$	−5.32451	−	3.07411i	−0.222824	−	0.128647i	−0.607257	+	0.794505i	$0.707730\pi$
$572$	−14.1499	−	35.1319i	−0.591639	−	1.46894i
$573$	20.5154	−	28.8659i	0.857043	−	1.20589i
$574$	7.05203	+	0.741198i	0.294346	+	0.0309370i
$575$	−3.42681	−	1.11344i	−0.142908	−	0.0464335i
$576$	−13.5498	−	5.69689i	−0.564573	−	0.237370i
$577$	−8.59300	+	6.24318i	−0.357731	+	0.259907i	−0.752105	−	0.659043i	$-0.770961\pi$
$577$	−8.59300	+	6.24318i	−0.357731	+	0.259907i	0.394374	+	0.918950i	$0.370961\pi$
$578$	5.33918	+	2.37715i	0.222080	+	0.0988766i
$579$	5.77209	+	25.8270i	0.239880	+	1.07333i
$580$	2.44250	−	2.19923i	0.101419	−	0.0913182i
$581$	−6.66022	−	14.9591i	−0.276313	−	0.620608i
$582$	−0.334208	+	3.53426i	−0.0138534	+	0.146500i
$583$	−6.59528	+	13.4852i	−0.273149	+	0.558501i
$584$			22.5266i			0.932155i
$585$	−29.9112	−	31.8566i	−1.23668	−	1.31711i
$586$	−1.95296	+	6.01061i	−0.0806762	+	0.248296i
$587$	−4.66856	−	4.20359i	−0.192692	−	0.173501i	0.567137	−	0.823623i	$-0.308051\pi$
$587$	−4.66856	−	4.20359i	−0.192692	−	0.173501i	−0.759829	+	0.650123i	$0.774718\pi$
$588$	14.5623	−	0.152003i	0.600541	−	0.00626850i
$589$	3.53886	−	0.371949i	0.145816	−	0.0153259i
$590$	0.00966173	+	0.00205366i	0.000397767	+	8.45480e-5i
$591$	−2.60761	−	22.5437i	−0.107263	−	0.927324i
$592$	−1.43245	+	13.6289i	−0.0588735	+	0.560144i
$593$	−13.2967			−0.546030			−0.273015	−	0.962010i	$-0.588021\pi$
$593$	−13.2967			−0.546030			−0.273015	+	0.962010i	$0.588021\pi$
$594$	−5.83696	+	2.56614i	−0.239493	+	0.105290i
$595$	−4.11127			−0.168546
$596$	2.77420	−	26.3948i	0.113636	−	1.08117i
$597$	−0.939984	−	8.12649i	−0.0384710	−	0.332595i
$598$	12.3418	+	2.62333i	0.504694	+	0.107276i
$599$	34.7982	−	3.65743i	1.42181	−	0.149439i	0.637810	−	0.770194i	$-0.279841\pi$
$599$	34.7982	−	3.65743i	1.42181	−	0.149439i	0.784004	+	0.620755i	$0.213174\pi$
$600$	1.60307	−	0.0167330i	0.0654450	−	0.000683121i
$601$	3.92068	+	3.53019i	0.159928	+	0.144000i	0.745210	−	0.666830i	$-0.232349\pi$
$601$	3.92068	+	3.53019i	0.159928	+	0.144000i	−0.585282	+	0.810830i	$0.699016\pi$
$602$	1.53124	−	4.71268i	0.0624087	−	0.192074i
$603$	1.28070	−	4.24083i	0.0521541	−	0.172700i
$604$			4.79981i			0.195301i
$605$	−23.5203	+	11.4086i	−0.956235	+	0.463824i
$606$	0.587302	−	6.21074i	0.0238575	−	0.252294i
$607$	−8.45971	−	19.0008i	−0.343369	−	0.771220i	−0.999857	−	0.0168835i	$-0.994626\pi$
$607$	−8.45971	−	19.0008i	−0.343369	−	0.771220i	0.656488	−	0.754336i	$-0.272041\pi$
$608$	−1.68908	+	1.52085i	−0.0685012	+	0.0616788i
$609$	−0.442255	−	1.97885i	−0.0179211	−	0.0801872i
$610$	−4.60323	−	2.04949i	−0.186379	−	0.0829814i
$611$	−3.81618	+	2.77262i	−0.154386	+	0.112168i
$612$	−4.88408	+	3.70669i	−0.197427	+	0.149834i
$613$	−25.6016	−	8.31845i	−1.03404	−	0.335979i	−0.257652	−	0.966238i	$-0.582949\pi$
$613$	−25.6016	−	8.31845i	−1.03404	−	0.335979i	−0.776385	+	0.630259i	$0.782949\pi$
$614$	6.14139	+	0.645486i	0.247846	+	0.0260497i
$615$	28.9785	−	40.7737i	1.16853	−	1.64416i
$616$	5.73204	−	4.79918i	0.230950	−	0.193364i
$617$	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	$0.430560\pi$
$618$	−1.18911	−	0.239809i	−0.0478331	−	0.00964655i
$619$	−36.4959	+	7.75745i	−1.46689	+	0.311798i	−0.871007	−	0.491270i	$-0.836533\pi$
$619$	−36.4959	+	7.75745i	−1.46689	+	0.311798i	−0.595887	+	0.803068i	$0.703200\pi$
$620$	26.6438	−	8.65710i	1.07004	−	0.347678i
$621$	−5.12267	+	28.4538i	−0.205566	+	1.14181i
$622$	−6.42524	−	8.84358i	−0.257629	−	0.354595i
$623$	−9.50908	+	10.5609i	−0.380973	+	0.423113i
$624$	33.7198	−	3.90034i	1.34987	−	0.156138i
$625$	−25.4135	+	11.3148i	−1.01654	+	0.452593i
$626$	2.98639	−	5.17258i	0.119360	−	0.206738i
$627$	0.0825414	−	3.22957i	0.00329639	−	0.128977i
$628$	5.30401	+	9.18682i	0.211653	+	0.366594i
$629$	3.80365	+	2.76352i	0.151662	+	0.110189i
$630$	2.00428	−	3.64518i	0.0798525	−	0.145228i
$631$	−5.33541	−	16.4207i	−0.212399	−	0.653698i	−0.999328	−	0.0366537i	$-0.988330\pi$
$631$	−5.33541	−	16.4207i	−0.212399	−	0.653698i	0.786929	−	0.617044i	$-0.211670\pi$
$632$	−1.84939	+	4.15379i	−0.0735646	+	0.165229i
$633$	−29.1271	+	17.2243i	−1.15770	+	0.684606i
$634$	0.644950	−	3.03425i	0.0256142	−	0.120506i
$635$	−10.4971	−	11.6583i	−0.416566	−	0.462644i
$636$	−10.9558	−	9.65950i	−0.434426	−	0.383024i
$637$	−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
$641$	1.96169	+	9.22901i	0.0774819	+	0.364524i	0.999758	−	0.0220085i	$-0.00700609\pi$
$641$	1.96169	+	9.22901i	0.0774819	+	0.364524i	−0.922276	+	0.386532i	$0.873673\pi$
$642$	2.35184	−	7.50383i	0.0928197	−	0.296152i
$643$	−0.853865	−	8.12398i	−0.0336732	−	0.320379i	−0.998373	−	0.0570257i	$-0.981838\pi$
$643$	−0.853865	−	8.12398i	−0.0336732	−	0.320379i	0.964700	−	0.263353i	$-0.0848284\pi$
$644$	−1.70886	−	16.2587i	−0.0673385	−	0.640683i
$645$	−23.6603	−	25.7321i	−0.931622	−	1.01320i
$646$	0.0474554	+	0.223260i	0.00186711	+	0.00878404i
$647$	−12.6621	+	17.4279i	−0.497799	+	0.685162i	−0.981803	−	0.189904i	$-0.939182\pi$
$647$	−12.6621	+	17.4279i	−0.497799	+	0.685162i	0.484003	+	0.875066i	$0.339182\pi$
$648$	−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
$651$	3.41676	−	16.9422i	0.133913	−	0.664018i
$652$	10.6712	+	11.8516i	0.417916	+	0.464143i
$653$	−9.50514	+	44.7182i	−0.371965	+	1.74996i	0.251264	+	0.967919i	$0.419154\pi$
$653$	−9.50514	+	44.7182i	−0.371965	+	1.74996i	−0.623229	+	0.782039i	$0.714180\pi$
$654$	−0.0588146	−	5.63462i	−0.00229983	−	0.220331i
$655$	7.62003	−	17.1149i	0.297739	−	0.668733i
$656$	12.0076	+	36.9555i	0.468817	+	1.44287i
$657$	40.4453	−	24.4908i	1.57792	−	0.955476i
$658$	−0.363284	−	0.263941i	−0.0141623	−	0.0102895i
$659$	−2.87636	−	4.98200i	−0.112047	−	0.194071i	0.804548	−	0.593887i	$-0.202407\pi$
$659$	−2.87636	−	4.98200i	−0.112047	−	0.194071i	−0.916595	+	0.399816i	$0.869074\pi$
$660$	−4.65081	−	25.0060i	−0.181033	−	0.973355i
$661$	−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	$0.968940\pi$
$662$	0.340388	−	0.151550i	0.0132296	−	0.00589018i
$663$	4.62546	−	10.6878i	0.179638	−	0.415079i
$664$	−9.93016	+	11.0286i	−0.385365	+	0.427991i
$665$	1.23887	+	1.70516i	0.0480415	+	0.0661234i
$666$	−4.30453	+	2.02520i	−0.166797	+	0.0784749i
$667$	3.92809	−	1.27631i	0.152096	−	0.0494190i
$668$	−5.55894	+	1.18159i	−0.215082	+	0.0457170i
$669$	9.07574	+	26.9711i	0.350888	+	1.04276i
$670$	−1.12441	−	0.649177i	−0.0434396	−	0.0250799i
$671$	−4.61824	+	18.4376i	−0.178285	+	0.711776i
$672$	4.59525	+	10.0378i	0.177266	+	0.387217i
$673$	1.28805	+	0.135380i	0.0496507	+	0.00521850i	0.129321	−	0.991603i	$-0.458720\pi$
$673$	1.28805	+	0.135380i	0.0496507	+	0.00521850i	−0.0796705	+	0.996821i	$0.525387\pi$
$674$	7.81821	+	2.54029i	0.301146	+	0.0978484i
$675$	−1.77289	−	2.86004i	−0.0682386	−	0.110083i
$676$	−37.0313	+	26.9048i	−1.42428	+	1.03480i
$677$	19.1385	+	8.52100i	0.735551	+	0.327489i	0.740096	−	0.672501i	$-0.234780\pi$
$677$	19.1385	+	8.52100i	0.735551	+	0.327489i	−0.00454475	+	0.999990i	$0.501447\pi$
$678$	0.0218832	−	0.0201213i	0.000840420	−	0.000772752i
$679$	−6.49251	+	5.84588i	−0.249160	+	0.224344i
$680$	1.51551	+	3.40389i	0.0581172	+	0.130533i
$681$	38.3518	+	27.2572i	1.46964	+	1.04450i
$682$	3.63763	+	6.85930i	0.139292	+	0.262656i
$683$		−	12.7750i		−	0.488822i	−0.969672	−	0.244411i	$-0.921405\pi$
$683$		−	12.7750i		−	0.488822i	0.969672	−	0.244411i	$-0.0785945\pi$
$684$	3.00911	+	0.908729i	0.115056	+	0.0347461i
$685$	12.9675	−	39.9099i	0.495463	−	1.52488i
$686$	−4.99212	−	4.49492i	−0.190600	−	0.171617i
$687$	−3.82220	−	6.46350i	−0.145826	−	0.246598i
$688$	27.0053	−	2.83837i	1.02957	−	0.108212i
$689$	27.1360	+	5.76793i	1.03380	+	0.219741i
$690$	7.77637	+	3.36545i	0.296041	+	0.128121i
$691$	3.01553	−	28.6908i	0.114716	−	1.09145i	−0.774061	−	0.633111i	$-0.781778\pi$
$691$	3.01553	−	28.6908i	0.114716	−	1.09145i	0.888777	−	0.458340i	$-0.151556\pi$
$692$	−21.1929			−0.805633
$693$	−14.8485	−	5.07395i	−0.564049	−	0.192743i
$694$	−4.43747			−0.168444
$695$	−3.49807	+	33.2819i	−0.132689	+	1.26245i
$696$	−1.47535	+	1.09561i	−0.0559230	+	0.0415291i
$697$	13.0399	+	2.77172i	0.493922	+	0.104986i
$698$	3.74117	−	0.393213i	0.141605	−	0.0148833i
$699$	−9.97133	+	17.6948i	−0.377150	+	0.669280i
$700$	1.41403	+	1.27320i	0.0534453	+	0.0481223i
$701$	1.64023	−	5.04812i	0.0619507	−	0.190665i	−0.915291	−	0.402793i	$-0.868039\pi$
$701$	1.64023	−	5.04812i	0.0619507	−	0.190665i	0.977242	+	0.212128i	$0.0680395\pi$
$702$	7.22118	+	9.31147i	0.272546	+	0.351439i
$703$		−	2.41032i		−	0.0909071i
$704$	14.5976	+	7.13934i	0.550170	+	0.269074i
$705$	−2.88030	+	1.31858i	−0.108478	+	0.0496607i
$706$	0.694504	+	1.55988i	0.0261380	+	0.0587069i
$707$	11.4093	−	10.2729i	0.429089	−	0.386353i
$708$	0.0345933	+	0.0108422i	0.00130010	+	0.000407475i
$709$	−26.3752	−	11.7430i	−0.990543	−	0.441018i	−0.153496	−	0.988149i	$-0.549053\pi$
$709$	−26.3752	−	11.7430i	−0.990543	−	0.441018i	−0.837047	+	0.547131i	$0.815720\pi$
$710$	−5.92979	+	4.30824i	−0.222541	+	0.161685i
$711$	9.46856	−	1.19550i	0.355099	−	0.0448347i
$712$	12.2491	+	3.97997i	0.459054	+	0.149156i
$713$	35.0121	+	3.67992i	1.31122	+	0.137814i
$714$	1.10370	+	0.104369i	0.0413050	+	0.00390590i
$715$	31.0130	+	37.0413i	1.15982	+	1.38527i
$716$	17.2965	+	9.98615i	0.646401	+	0.373200i
$717$	−20.5518	+	23.3099i	−0.767522	+	0.870523i
$718$	−2.94136	+	0.625206i	−0.109771	+	0.0233325i
$719$	35.5978	−	11.5664i	1.32757	−	0.431355i	0.442484	−	0.896776i	$-0.354097\pi$
$719$	35.5978	−	11.5664i	1.32757	−	0.431355i	0.885089	+	0.465422i	$0.154097\pi$
$720$	22.7156	+	1.90905i	0.846561	+	0.0711461i
$721$	−1.75471	−	2.41515i	−0.0653488	−	0.0899449i
$722$	−4.62545	+	5.13708i	−0.172141	+	0.191182i
$723$	2.75906	+	3.71534i	0.102611	+	0.138175i
$724$	30.2652	−	13.4749i	1.12480	−	0.500792i
$725$	−0.240358	+	0.416312i	−0.00892666	+	0.0154614i
$726$	6.60381	−	2.46563i	0.245090	−	0.0915081i
$727$	−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
$729$	−20.8074	+	17.2062i	−0.770644	+	0.637266i
$730$	−4.28224	−	13.1794i	−0.158493	−	0.487791i
$731$	3.78918	−	8.51064i	0.140148	−	0.314777i
$732$	−16.1116	−	9.07914i	−0.595501	−	0.335575i
$733$	1.10458	−	5.19663i	0.0407985	−	0.191942i	−0.953029	−	0.302880i	$-0.902052\pi$
$733$	1.10458	−	5.19663i	0.0407985	−	0.191942i	0.993827	+	0.110938i	$0.0353854\pi$
$734$	−9.39607	−	10.4354i	−0.346815	−	0.385177i
$735$	−17.6057	+	5.92431i	−0.649397	+	0.218522i
$736$	−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	−0.737140	−	0.675740i	$-0.763824\pi$
$739$	3.62411	−	4.98816i	0.133315	−	0.183492i	0.870455	+	0.492247i	$0.163824\pi$
$740$	−3.94544	−	18.5619i	−0.145037	−	0.682347i
$741$	−5.82661	+	1.30219i	−0.214046	+	0.0478372i
$742$	0.276053	+	2.62647i	0.0101342	+	0.0964208i
$743$	0.698365	+	6.64450i	0.0256205	+	0.243763i	0.999835	+	0.0181411i	$0.00577479\pi$
$743$	0.698365	+	6.64450i	0.0256205	+	0.243763i	−0.974215	+	0.225622i	$0.927559\pi$
$744$	−15.2867	+	3.41643i	−0.560436	+	0.125252i
$745$	7.03841	+	33.1131i	0.257867	+	1.21317i
$746$	−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
$750$	6.28216	−	2.11394i	0.229392	−	0.0771902i
$751$	−18.9643	−	21.0620i	−0.692017	−	0.768563i	0.290067	−	0.957006i	$-0.406323\pi$
$751$	−18.9643	−	21.0620i	−0.692017	−	0.768563i	−0.982084	+	0.188443i	$0.939656\pi$
$752$	0.511611	−	2.40694i	0.0186566	−	0.0877722i
$753$	20.5083	+	11.5568i	0.747364	+	0.421152i
$754$	0.684687	−	1.53783i	0.0249348	−	0.0560046i
$755$	−1.89190	−	5.82267i	−0.0688533	−	0.211909i
$756$	8.58292	−	12.6266i	0.312158	−	0.459225i
$757$	10.7918	+	7.84073i	0.392236	+	0.284976i	0.766371	−	0.642398i	$-0.222060\pi$
$757$	10.7918	+	7.84073i	0.392236	+	0.284976i	−0.374135	+	0.927374i	$0.622060\pi$
$758$	2.29786	+	3.98002i	0.0834621	+	0.144561i
$759$	7.44202	−	31.0842i	0.270128	−	1.12828i
$760$	0.955098	−	1.65428i	0.0346450	−	0.0600070i
$761$	−0.507993	+	0.226173i	−0.0184147	+	0.00819877i	−0.415923	−	0.909400i	$-0.636542\pi$
$761$	−0.507993	+	0.226173i	−0.0184147	+	0.00819877i	0.397509	+	0.917598i	$0.369875\pi$
$762$	2.52208	+	3.39623i	0.0913653	+	0.123032i
$763$	9.27911	−	10.3055i	0.335926	−	0.373084i
$764$	−22.3907	−	30.8181i	−0.810066	−	1.11496i
$765$	4.46387	−	6.42172i	0.161391	−	0.232178i
$766$	5.02143	−	1.63156i	0.181432	−	0.0589507i
$767$	−0.0673525	+	0.0143162i	−0.00243196	+	0.000516929i
$768$	−7.03071	+	7.97422i	−0.253699	+	0.287745i
$769$	28.3158	+	16.3481i	1.02109	+	0.589528i	0.914420	−	0.404766i	$-0.132647\pi$
$769$	28.3158	+	16.3481i	1.02109	+	0.589528i	0.106672	+	0.994294i	$0.465980\pi$
$770$	−2.44127	+	3.89745i	−0.0879774	+	0.140454i
$771$	−8.19923	−	0.775339i	−0.295288	−	0.0279231i
$772$	28.3108	+	2.97558i	1.01893	+	0.107093i
$773$	−1.30242	−	0.423182i	−0.0468448	−	0.0152208i	0.285501	−	0.958378i	$-0.407840\pi$
$773$	−1.30242	−	0.423182i	−0.0468448	−	0.0152208i	−0.332346	+	0.943158i	$0.607840\pi$
$774$	5.69854	+	7.50862i	0.204830	+	0.269892i
$775$	−3.31493	+	2.40844i	−0.119076	+	0.0865138i
$776$	7.23334	+	3.22049i	0.259662	+	0.115609i
$777$	−11.1714	−	3.50132i	−0.400771	−	0.125609i
$778$	−2.96101	+	2.66610i	−0.106157	+	0.0955844i
$779$	−2.77982	−	6.24357i	−0.0995972	−	0.223699i
$780$	−42.7390	+	19.5657i	−1.53030	+	0.700564i
$781$	19.8676	+	19.2276i	0.710920	+	0.688018i
$782$			2.25820i			0.0807530i
$783$	3.57111	+	1.45777i	0.127621	+	0.0520965i
$784$	4.45900	−	13.7234i	0.159250	−	0.490121i
$785$	−10.0554	−	9.05393i	−0.358893	−	0.323149i
$786$	−2.48013	+	4.40117i	−0.0884634	+	0.156985i
$787$	−8.61816	+	0.905805i	−0.307204	+	0.0322885i	−0.256876	−	0.966444i	$-0.582693\pi$
$787$	−8.61816	+	0.905805i	−0.307204	+	0.0322885i	−0.0503279	+	0.998733i	$0.516027\pi$
$788$	−23.8778	−	5.07539i	−0.850612	−	0.180803i
$789$	25.7563	−	19.1270i	0.916949	−	0.680938i
$790$	0.292377	−	2.78178i	0.0104023	−	0.0989712i
$791$	0.0731593			0.00260125
$792$	1.27258	+	14.1641i	0.0452192	+	0.503299i
$793$	35.1262			1.24737
$794$	0.535070	−	5.09085i	0.0189889	−	0.180668i
$795$	17.0979	+	7.39964i	0.606401	+	0.262438i
$796$	−8.60740	−	1.82956i	−0.305081	−	0.0648470i
$797$	−13.4164	+	1.41012i	−0.475233	+	0.0499490i	−0.339118	−	0.940744i	$-0.610129\pi$
$797$	−13.4164	+	1.41012i	−0.475233	+	0.0499490i	−0.136116	+	0.990693i	$0.543462\pi$
$798$	−0.289298	−	0.489214i	−0.0102410	−	0.0173180i
$799$	−0.627382	−	0.564898i	−0.0221952	−	0.0199846i
$800$	0.808775	−	2.48915i	0.0285945	−	0.0880049i
$801$	−6.17131	−	26.3196i	−0.218052	−	0.929958i
$802$			13.2659i			0.468435i
$803$	−46.1805	+	24.4905i	−1.62968	+	0.864250i
$804$	−3.88416	−	2.76053i	−0.136984	−	0.0973564i
$805$	8.48159	+	19.0500i	0.298937	+	0.671423i
$806$	10.6631	−	9.60106i	0.375590	−	0.338183i
$807$	−27.5382	+	25.3209i	−0.969390	+	0.891339i
$808$	−12.7111	−	5.65935i	−0.447175	−	0.199095i
$809$	−35.6994	+	25.9371i	−1.25512	+	0.911900i	−0.998508	−	0.0546139i	$-0.982607\pi$
$809$	−35.6994	+	25.9371i	−1.25512	+	0.911900i	−0.256615	+	0.966514i	$0.582607\pi$
$810$	3.51753	+	7.08845i	0.123593	+	0.249063i
$811$	39.0505	+	12.6883i	1.37125	+	0.445546i	0.899782	−	0.436339i	$-0.143725\pi$
$811$	39.0505	+	12.6883i	1.37125	+	0.445546i	0.471466	+	0.881884i	$0.343725\pi$
$812$	−2.16916	−	0.227988i	−0.0761225	−	0.00800079i
$813$	−0.658940	−	1.43938i	−0.0231100	−	0.0504813i
$814$	4.87840	−	1.96486i	0.170988	−	0.0688681i
$815$	−17.6167	−	10.1710i	−0.617086	−	0.356275i
$816$	1.93753	+	5.75792i	0.0678272	+	0.201567i
$817$	−4.67163	+	0.992986i	−0.163440	+	0.0347402i
$818$	−5.52974	+	1.79672i	−0.193343	+	0.0628209i
$819$	−2.42853	+	28.8968i	−0.0848596	+	1.00974i
$820$	−31.6274	−	43.5313i	−1.10447	−	1.52018i
$821$	10.5169	−	11.6802i	0.367042	−	0.407641i	−0.531127	−	0.847292i	$-0.678231\pi$
$821$	10.5169	−	11.6802i	0.367042	−	0.407641i	0.898169	+	0.439651i	$0.144898\pi$
$822$	−4.49437	+	10.3849i	−0.156759	+	0.362215i
$823$	−5.19304	+	2.31209i	−0.181018	+	0.0805944i	−0.495245	−	0.868754i	$-0.664922\pi$
$823$	−5.19304	+	2.31209i	−0.181018	+	0.0805944i	0.314226	+	0.949348i	$0.398255\pi$
$824$	−1.35278	+	2.34308i	−0.0471262	+	0.0816250i
$825$	1.77713	+	3.26818i	0.0618718	+	0.113783i
$826$	−0.00327745	−	0.00567671i	−0.000114037	−	0.000197518i
$827$	11.5227	+	8.37170i	0.400682	+	0.291113i	0.769819	−	0.638263i	$-0.220347\pi$
$827$	11.5227	+	8.37170i	0.400682	+	0.291113i	−0.369137	+	0.929375i	$0.620347\pi$
$828$	27.2512	+	14.9839i	0.947045	+	0.520727i
$829$	−1.17567	−	3.61833i	−0.0408326	−	0.125670i	0.928562	−	0.371177i	$-0.121046\pi$
$829$	−1.17567	−	3.61833i	−0.0408326	−	0.125670i	−0.969395	+	0.245507i	$0.921046\pi$
$830$	3.71323	−	8.34006i	0.128888	−	0.289488i
$831$	−0.267795	−	25.6555i	−0.00928969	−	0.889980i
$832$	6.24374	−	29.3745i	0.216463	−	1.01838i
$833$	−3.31256	−	3.67897i	−0.114773	−	0.127469i
$834$	1.78398	−	8.84597i	0.0617740	−	0.306311i
$835$	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
$839$	0.810360	+	3.81245i	0.0279768	+	0.131620i	0.989920	−	0.141630i	$-0.0452345\pi$
$839$	0.810360	+	3.81245i	0.0279768	+	0.131620i	−0.961943	+	0.273251i	$0.911901\pi$
$840$	−6.27985	−	6.82976i	−0.216675	−	0.235649i
$841$	2.97373	+	28.2931i	0.102542	+	0.975625i
$842$	−0.469552	−	4.46749i	−0.0161818	−	0.153960i
$843$	0.951880	−	3.03709i	0.0327845	−	0.104603i
$844$	7.56785	+	35.6039i	0.260496	+	1.22554i
$845$	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
$849$	15.6813	+	13.8259i	0.538180	+	0.474503i
$850$	−0.175868	−	0.195321i	−0.00603221	−	0.00669945i
$851$	4.95804	−	23.3257i	0.169959	−	0.799596i
$852$	−23.1554	+	13.6930i	−0.793291	+	0.469115i
$853$	−12.8962	+	28.9653i	−0.441556	+	0.991752i	0.546472	+	0.837478i	$0.315971\pi$
$853$	−12.8962	+	28.9653i	−0.441556	+	0.991752i	−0.988028	+	0.154274i	$0.950696\pi$
$854$	1.03331	+	3.18020i	0.0353592	+	0.108824i
$855$	−4.00855	+	0.0836924i	−0.137090	+	0.00286222i
$856$	−14.1894	−	10.3092i	−0.484984	−	0.352362i
$857$	−19.7818	−	34.2630i	−0.675733	−	1.17040i	−0.976254	−	0.216628i	$-0.930494\pi$
$857$	−19.7818	−	34.2630i	−0.675733	−	1.17040i	0.300522	−	0.953775i	$-0.402839\pi$
$858$	−7.38534	−	10.7313i	−0.252131	−	0.366361i
$859$	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	$-0.0601181\pi$
$860$	−34.3507	+	15.2939i	−1.17135	+	0.521518i
$861$	−32.9758	+	3.81428i	−1.12381	+	0.129990i
$862$	−6.34867	+	7.05092i	−0.216237	+	0.240155i
$863$	27.4819	+	37.8256i	0.935495	+	1.28760i	0.957677	+	0.287844i	$0.0929385\pi$
$863$	27.4819	+	37.8256i	0.935495	+	1.28760i	−0.0221825	+	0.999754i	$0.507061\pi$
$864$	−20.6682	−	3.72099i	−0.703146	−	0.126591i
$865$	25.7092	−	8.35343i	0.874139	−	0.284025i
$866$	−0.467362	+	0.0993409i	−0.0158816	+	0.00337574i
$867$	−26.8206	−	5.40894i	−0.910876	−	0.183697i
$868$	−16.1004	−	9.29557i	−0.546483	−	0.315512i
$869$	−10.5261	+	0.724595i	−0.357073	+	0.0245802i
$870$	0.654895	−	0.921460i	0.0222030	−	0.0312404i
$871$	9.00132	+	0.946077i	0.304998	+	0.0320566i
$872$	−11.9528	−	3.88371i	−0.404774	−	0.131519i
$873$	−2.08182	−	16.4884i	−0.0704590	−	0.558048i
$874$	0.936595	−	0.680476i	0.0316808	−	0.0230174i
$875$	14.9018	+	6.63471i	0.503773	+	0.224294i
$876$	−11.0931	−	49.6357i	−0.374801	−	1.67703i
$877$	−23.4231	+	21.0902i	−0.790941	+	0.712166i	−0.961987	−	0.273097i	$-0.911952\pi$
$877$	−23.4231	+	21.0902i	−0.790941	+	0.712166i	0.171046	+	0.985263i	$0.445285\pi$
$878$	1.35267	+	3.03815i	0.0456505	+	0.102533i
$879$	2.78534	−	29.4551i	0.0939473	−	0.993495i
$880$	−24.9525	−	3.53442i	−0.841149	−	0.119145i
$881$		−	42.0051i		−	1.41519i	−0.706619	−	0.707595i	$-0.749780\pi$
$881$		−	42.0051i		−	1.41519i	0.706619	−	0.707595i	$-0.250220\pi$
$882$	4.87679	−	1.14349i	0.164210	−	0.0385032i
$883$	0.787007	−	2.42216i	0.0264849	−	0.0815122i	−0.936940	−	0.349489i	$-0.886355\pi$
$883$	0.787007	−	2.42216i	0.0264849	−	0.0815122i	0.963425	+	0.267977i	$0.0863551\pi$
$884$	−9.30937	−	8.38219i	−0.313108	−	0.281924i
$885$	−0.0462389		0.000482646i	−0.00155430		1.62240e-5i
$886$	−5.27795	+	0.554735i	−0.177316	+	0.0186367i
$887$	−13.6187	−	2.89475i	−0.457272	−	0.0971962i	−0.0264838	−	0.999649i	$-0.508431\pi$
$887$	−13.6187	−	2.89475i	−0.457272	−	0.0971962i	−0.430788	+	0.902453i	$0.641764\pi$
$888$	1.21914	+	10.5399i	0.0409118	+	0.353697i
$889$	−1.08820	+	10.3536i	−0.0364972	+	0.347248i
$890$	−7.92302			−0.265580
$891$	24.0474	−	17.6840i	0.805618	−	0.592436i
$892$	30.6104			1.02491
$893$	−0.0452403	+	0.430433i	−0.00151391	+	0.0144039i
$894$	−1.04890	−	9.06814i	−0.0350806	−	0.303284i
$895$	−24.9186	−	5.29662i	−0.832938	−	0.177047i
$896$	15.5208	−	1.63130i	0.518513	−	0.0544979i
$897$	−59.0652	+	0.616528i	−1.97213	+	0.0205853i
$898$	−3.91766	−	3.52748i	−0.130734	−	0.117713i
$899$	1.45141	−	4.46699i	0.0484074	−	0.148983i
$900$	−3.52401	+	0.826294i	−0.117467	+	0.0275431i
$901$			4.96511i			0.165412i
$902$	10.3707	−	10.7159i	0.345306	−	0.356800i
$903$	−2.18388	+	23.0945i	−0.0726748	+	0.768538i
$904$	−0.0269682	−	0.0605716i	−0.000896950	−	0.00201458i
$905$	−31.4035	+	28.2759i	−1.04389	+	0.939922i
$906$	0.360081	+	1.61117i	0.0119629	+	0.0535274i
$907$	−30.4352	−	13.5506i	−1.01059	−	0.449941i	−0.166437	−	0.986052i	$-0.553226\pi$
$907$	−30.4352	−	13.5506i	−1.01059	−	0.449941i	−0.844148	+	0.536111i	$0.819893\pi$
$908$	40.9456	−	29.7487i	1.35883	−	0.987246i
$909$	3.65837	+	28.9750i	0.121341	+	0.961040i
$910$	8.08303	+	2.62634i	0.267950	+	0.0870622i
$911$	6.55267	+	0.688713i	0.217100	+	0.0228181i	0.212454	−	0.977171i	$-0.431854\pi$
$911$	6.55267	+	0.688713i	0.217100	+	0.0228181i	0.00464588	+	0.999989i	$0.498521\pi$
$912$	1.80427	−	2.53866i	0.0597452	−	0.0840636i
$913$	−33.4050	−	8.36725i	−1.10554	−	0.276916i
$914$	−8.32303	−	4.80530i	−0.275301	−	0.158945i
$915$	23.1237	+	4.66338i	0.764445	+	0.154166i
$916$	−7.90076	+	1.67936i	−0.261049	+	0.0554876i
$917$	−11.8240	+	3.84186i	−0.390464	+	0.126869i
$918$	−1.36138	+	1.61064i	−0.0449322	+	0.0531590i
$919$	−19.1361	−	26.3386i	−0.631241	−	0.868829i	0.366869	−	0.930273i	$-0.380430\pi$
$919$	−19.1361	−	26.3386i	−0.631241	−	0.868829i	−0.998111	+	0.0614433i	$0.980430\pi$
$920$	12.6457	−	14.0445i	0.416918	−	0.463034i
$921$	−28.7176	+	3.32174i	−0.946276	+	0.109455i
$922$	3.93921	−	1.75385i	0.129731	−	0.0577600i
$923$	25.5476	−	44.2498i	0.840910	−	1.45650i
$924$	−10.2668	+	13.3974i	−0.337753	+	0.440741i
$925$	1.38776	+	2.40367i	0.0456292	+	0.0790322i
$926$	5.58674	+	4.05901i	0.183592	+	0.133387i
$927$	5.67762	−	0.118540i	0.186477	−	0.00389336i
$928$	0.927084	+	2.85327i	0.0304330	+	0.0936633i
$929$	5.70632	−	12.8166i	0.187218	−	0.420499i	−0.795413	−	0.606068i	$-0.792746\pi$
$929$	5.70632	−	12.8166i	0.187218	−	0.420499i	0.982631	+	0.185568i	$0.0594126\pi$
$930$	8.29416	−	4.90477i	0.271976	−	0.160834i
$931$	−0.527671	+	2.48250i	−0.0172937	+	0.0813606i
$932$	14.6191	+	16.2361i	0.478864	+	0.531832i
$933$	38.3852	+	33.8435i	1.25668	+	1.10799i
$934$	−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	0.0975008	−	0.995235i	$-0.468915\pi$
$937$	31.0358	−	42.7172i	1.01390	−	1.39551i	0.916396	−	0.400273i	$-0.131085\pi$
$938$	0.179138	+	0.842778i	0.00584906	+	0.0275177i
$939$	−8.36250	+	26.6816i	−0.272900	+	0.870720i
$940$	0.356178	+	3.38881i	0.0116172	+	0.110531i
$941$	−0.232464	−	2.21175i	−0.00757812	−	0.0721010i	0.990079	−	0.140510i	$-0.0448743\pi$
$941$	−0.232464	−	2.21175i	−0.00757812	−	0.0721010i	−0.997657	+	0.0684093i	$0.978208\pi$
$942$	2.46961	+	2.68586i	0.0804642	+	0.0875101i
$943$	−14.0584	−	66.1398i	−0.457806	−	2.15381i
$944$	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	$0.449234\pi$
$948$	2.02948	−	10.0633i	0.0659143	−	0.326841i
$949$	64.6396	+	71.7895i	2.09829	+	2.33039i
$950$	−0.0280147	+	0.131799i	−0.000908917	+	0.00427612i
$951$	0.151574	+	14.5213i	0.00491514	+	0.470885i
$952$	1.00572	−	2.25887i	0.0325954	−	0.0732105i
$953$	−6.64425	−	20.4489i	−0.215228	−	0.662404i	−0.999137	−	0.0415288i	$-0.986777\pi$
$953$	−6.64425	−	20.4489i	−0.215228	−	0.662404i	0.783909	−	0.620876i	$-0.213223\pi$
$954$	−4.40222	−	2.42054i	−0.142527	−	0.0783677i
$955$	39.3095	+	28.5601i	1.27203	+	0.924182i
$956$	16.7138	+	28.9492i	0.540564	+	0.936284i
$957$	−3.85004	−	1.83341i	−0.124454	−	0.0592657i
$958$	7.15620	−	12.3949i	0.231206	−	0.400461i
$959$	−25.4402	+	11.3267i	−0.821506	+	0.365758i
$960$	8.01005	−	18.5084i	0.258523	−	0.597355i
$961$	6.04551	−	6.71422i	0.195016	−	0.216588i
$962$	−5.71286	−	7.86308i	−0.184190	−	0.253516i
$963$	−3.08302	+	36.6845i	−0.0993488	+	1.18214i
$964$	4.73430	−	1.53827i	0.152482	−	0.0495443i
$965$	−35.5168	+	7.54932i	−1.14333	+	0.243021i
$966$	−1.79334	−	5.32942i	−0.0576999	−	0.171471i
$967$	13.6754	+	7.89548i	0.439770	+	0.253901i	0.703500	−	0.710695i	$-0.251619\pi$
$967$	13.6754	+	7.89548i	0.439770	+	0.253901i	−0.263730	+	0.964597i	$0.584953\pi$
$968$	−0.514639	−	15.7136i	−0.0165411	−	0.505056i
$969$	−0.444776	−	0.971563i	−0.0142883	−	0.0312111i
$970$	−4.84414	−	0.509140i	−0.155536	−	0.0163475i
$971$	−7.29530	−	2.37039i	−0.234117	−	0.0760693i	0.189609	−	0.981860i	$-0.439278\pi$
$971$	−7.29530	−	2.37039i	−0.234117	−	0.0760693i	−0.423726	+	0.905790i	$0.639278\pi$
$972$	10.4035	+	27.1158i	0.333691	+	0.869741i
$973$	17.9667	−	13.0535i	0.575984	−	0.418477i
$974$	4.15002	+	1.84771i	0.132975	+	0.0592043i
$975$	5.06078	−	4.65331i	0.162075	−	0.149025i
$976$	−13.6174	+	12.2612i	−0.435883	+	0.392471i
$977$	−3.03997	−	6.82789i	−0.0972573	−	0.218444i	0.858364	−	0.513041i	$-0.171481\pi$
$977$	−3.03997	−	6.82789i	−0.0972573	−	0.218444i	−0.955621	+	0.294597i	$0.904814\pi$
$978$	4.47113	+	3.17770i	0.142971	+	0.101612i
$979$	5.15786	+	29.4382i	0.164846	+	0.940848i
$980$			19.9814i			0.638282i
$981$	6.02206	+	25.6831i	0.192270	+	0.819998i
$982$	−4.16946	+	12.8323i	−0.133053	+	0.409494i
$983$	37.1304	+	33.4323i	1.18427	+	1.06633i	0.996455	+	0.0841219i	$0.0268085\pi$
$983$	37.1304	+	33.4323i	1.18427	+	1.06633i	0.187819	+	0.982204i	$0.439858\pi$
$984$	15.3137	+	25.8960i	0.488181	+	0.825534i
$985$	30.9668	−	3.25474i	0.986685	−	0.103705i
$986$	0.294694	+	0.0626391i	0.00938496	+	0.00199484i
$987$	1.92925	+	0.834941i	0.0614088	+	0.0265765i
$988$	−0.671295	+	6.38694i	−0.0213567	+	0.203196i
$989$	−47.2520			−1.50252
$990$	−3.43709	−	8.04493i	−0.109238	−	0.255685i
$991$	−32.0166			−1.01704			−0.508520	−	0.861050i	$-0.669807\pi$
$991$	−32.0166			−1.01704			−0.508520	+	0.861050i	$0.669807\pi$
$992$	−2.67301	+	25.4320i	−0.0848682	+	0.807467i
$993$	−1.40040	+	1.03996i	−0.0444404	+	0.0330020i
$994$	4.75775	+	1.01129i	0.150907	+	0.0320762i
$995$	11.1628	−	1.17326i	0.353885	−	0.0371948i
$996$	16.4494	−	29.1907i	0.521220	−	0.924943i
$997$	14.0664	+	12.6655i	0.445488	+	0.401119i	0.861110	−	0.508418i	$-0.169770\pi$
$997$	14.0664	+	12.6655i	0.445488	+	0.401119i	−0.415623	+	0.909537i	$0.636436\pi$
$998$	−2.77608	+	8.54390i	−0.0878753	+	0.270452i
$999$	17.5985	−	13.6479i	0.556791	−	0.431800i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.p.a.29.6	✓	80	9.2	odd	6	inner
99.2.p.a.41.6	yes	80	11.8	odd	10	inner
99.2.p.a.74.6	yes	80	99.74	even	30	inner
99.2.p.a.95.6	yes	80	1.1	even	1	trivial
297.2.t.a.8.5		80	99.52	odd	30
297.2.t.a.62.5		80	9.7	even	3
297.2.t.a.206.5		80	33.8	even	10
297.2.t.a.260.5		80	3.2	odd	2
891.2.k.a.161.10		80	9.5	odd	6
891.2.k.a.161.11		80	9.4	even	3
891.2.k.a.404.10		80	99.85	odd	30
891.2.k.a.404.11		80	99.41	even	30

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+(0.0386735 - 0.367954i) q^{2} +(0.199018 + 1.72058i) q^{3} +(1.82240 + 0.387363i) q^{4} +(-2.36345 + 0.248408i) q^{5} +(0.640791 - 0.00668863i) q^{6} +(1.17198 + 1.05526i) q^{7} +(0.441671 - 1.35932i) q^{8} +(-2.92078 + 0.684852i) q^{9} +0.879247i q^{10} +(3.26686 - 0.572386i) q^{11} +(-0.303798 + 3.21268i) q^{12} +(-2.49300 - 5.59938i) q^{13} +(0.433611 - 0.390425i) q^{14} +(-0.897775 - 4.01706i) q^{15} +(2.92099 + 1.30051i) q^{16} +(0.887473 - 0.644787i) q^{17} +(0.139037 + 1.10120i) q^{18} +(-0.534855 - 0.173785i) q^{19} +(-4.40337 - 0.462813i) q^{20} +(-1.58241 + 2.22650i) q^{21} +(-0.0842709 - 1.22419i) q^{22} +(-4.81854 - 2.78199i) q^{23} +(2.42673 + 0.489400i) q^{24} +(0.633436 - 0.134641i) q^{25} +(-2.15673 + 0.700764i) q^{26} +(-1.75963 - 4.88914i) q^{27} +(1.72705 + 2.37708i) q^{28} +(-0.496707 + 0.551649i) q^{29} +(-1.51281 + 0.174986i) q^{30} +(-5.78029 + 2.57355i) q^{31} +(2.02077 - 3.50008i) q^{32} +(1.63500 + 5.50698i) q^{33} +(-0.202930 - 0.351486i) q^{34} +(-3.03205 - 2.20291i) q^{35} +(-5.58812 + 0.116671i) q^{36} +(1.32443 + 4.07617i) q^{37} +(-0.0846296 + 0.190081i) q^{38} +(9.13802 - 5.40379i) q^{39} +(-0.706199 + 3.32241i) q^{40} +(8.13175 + 9.03123i) q^{41} +(0.758053 + 0.668360i) 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} +(-0.160007 - 0.752776i) q^{47} +(-1.65630 + 5.28462i) q^{48} +(-0.471726 - 4.48817i) q^{49} +(-0.0250445 - 0.238282i) q^{50} +(1.28603 + 1.39864i) q^{51} +(-2.37426 - 11.1700i) 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} +(0.192565 - 0.954846i) q^{57} +(0.183772 + 0.204100i) q^{58} +(0.00233571 - 0.0109886i) q^{59} +(-0.0800440 - 7.66846i) q^{60} +(-2.33096 + 5.23542i) q^{61} +(0.723404 + 2.22641i) q^{62} +(-4.14580 - 2.27954i) q^{63} +(3.96382 + 2.87988i) q^{64} +(7.28302 + 12.6146i) q^{65} +(2.08955 - 0.388631i) q^{66} +(-0.738332 + 1.27883i) q^{67} +(1.86710 - 0.831285i) q^{68} +(3.82765 - 8.84435i) q^{69} +(-0.927831 + 1.03046i) q^{70} +(4.89992 + 6.74417i) q^{71} +(-0.359090 + 4.27277i) q^{72} +(-14.9894 + 4.87035i) q^{73} +(1.55106 - 0.329689i) q^{74} +(0.357725 + 1.06308i) q^{75} +(-0.907402 - 0.523889i) q^{76} +(4.43271 + 2.77655i) q^{77} +(-1.63495 - 3.57136i) q^{78} +(-3.16382 - 0.332531i) q^{79} +(-7.22666 - 2.34809i) q^{80} +(8.06195 - 4.00061i) q^{81} +(3.63756 - 2.64284i) q^{82} +(-9.48546 - 4.22320i) q^{83} +(-3.74625 + 3.44461i) q^{84} +(-1.93732 + 1.74437i) q^{85} +(-1.27799 - 2.87041i) q^{86} +(-1.04801 - 0.744836i) q^{87} +(0.664820 - 4.69353i) q^{88} +9.01115i q^{89} +(-0.602154 - 2.56809i) q^{90} +(2.98703 - 9.19313i) q^{91} +(-7.70368 - 6.93642i) q^{92} +(-5.57838 - 9.43326i) q^{93} +(-0.283175 + 0.0297629i) q^{94} +(1.30727 + 0.277869i) q^{95} +(6.42433 + 2.78032i) q^{96} +(-0.579063 + 5.50942i) q^{97} -1.66968 q^{98} +(-9.14979 + 3.90913i) 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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