LMFDB - Embedded newform 99.2.p.a.29.2

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			29.2
Character	$\chi$	$=$	99.29
Dual form			99.2.p.a.41.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.79897 + 0.800953i) q^{2} +(0.666085 + 1.59885i) q^{3} +(1.25651 - 1.39549i) q^{4} +(-0.804185 + 1.80623i) q^{5} +(-2.47887 - 2.34279i) q^{6} +(0.0659410 - 0.310228i) q^{7} +(0.0743474 - 0.228818i) q^{8} +(-2.11266 + 2.12994i) q^{9} -3.89347i q^{10} +(-2.31445 + 2.37557i) q^{11} +(3.06813 + 1.07946i) q^{12} +(-1.91314 - 0.201079i) q^{13} +(0.129852 + 0.610907i) q^{14} +(-3.42355 - 0.0826717i) q^{15} +(0.442095 + 4.20626i) q^{16} +(2.02504 - 1.47127i) q^{17} +(2.09463 - 5.52385i) q^{18} +(4.44962 + 1.44577i) q^{19} +(1.51012 + 3.39178i) q^{20} +(0.539932 - 0.101208i) q^{21} +(2.26090 - 6.12735i) q^{22} +(4.68148 - 2.70286i) q^{23} +(0.415368 - 0.0335415i) q^{24} +(0.729903 + 0.810640i) q^{25} +(3.60274 - 1.17060i) q^{26} +(-4.81268 - 1.95911i) q^{27} +(-0.350066 - 0.481825i) q^{28} +(8.72180 + 1.85388i) q^{29} +(6.22508 - 2.59338i) q^{30} +(0.0348605 - 0.331676i) q^{31} +(-3.92374 - 6.79612i) q^{32} +(-5.33981 - 2.11813i) q^{33} +(-2.46456 + 4.26874i) q^{34} +(0.507314 + 0.368585i) q^{35} +(0.317746 + 5.62450i) q^{36} +(2.37275 + 7.30257i) q^{37} +(-9.16273 + 0.963042i) q^{38} +(-0.952818 - 3.19277i) q^{39} +(0.353508 + 0.318300i) q^{40} +(-9.78937 + 2.08079i) q^{41} +(-0.890258 + 0.614531i) q^{42} +(-7.95160 - 4.59086i) q^{43} +(0.406974 + 6.21472i) q^{44} +(-2.14820 - 5.52882i) q^{45} +(-6.25699 + 8.61201i) q^{46} +(6.33820 - 5.70694i) q^{47} +(-6.43071 + 3.50857i) q^{48} +(6.30292 + 2.80624i) q^{49} +(-1.96236 - 0.873699i) q^{50} +(3.70120 + 2.25774i) q^{51} +(-2.68448 + 2.41712i) q^{52} +(1.05383 - 1.45047i) q^{53} +(10.2270 - 0.330345i) q^{54} +(-2.42958 - 6.09082i) q^{55} +(-0.0660832 - 0.0381531i) q^{56} +(0.652252 + 8.07729i) q^{57} +(-17.1751 + 3.65069i) q^{58} +(5.77236 + 5.19746i) q^{59} +(-4.41709 + 4.67367i) q^{60} +(2.45876 - 0.258426i) q^{61} +(0.202944 + 0.624596i) q^{62} +(0.521457 + 0.795858i) q^{63} +(5.65871 + 4.11130i) q^{64} +(1.90171 - 3.29387i) q^{65} +(11.3027 - 0.466487i) q^{66} +(-5.40401 - 9.36002i) q^{67} +(0.491320 - 4.67459i) q^{68} +(7.43973 + 5.68467i) q^{69} +(-1.20786 - 0.256739i) q^{70} +(-6.99647 - 9.62982i) q^{71} +(0.330298 + 0.641770i) q^{72} +(0.116476 - 0.0378454i) q^{73} +(-10.1175 - 11.2367i) q^{74} +(-0.809916 + 1.70696i) q^{75} +(7.60855 - 4.39280i) q^{76} +(0.584352 + 0.874654i) q^{77} +(4.27135 + 4.98053i) q^{78} +(-5.07900 - 11.4076i) q^{79} +(-7.95299 - 2.58408i) q^{80} +(-0.0733198 - 8.99970i) q^{81} +(15.9442 - 11.5841i) q^{82} +(-0.0451069 - 0.429164i) q^{83} +(0.537193 - 0.880641i) q^{84} +(1.02896 + 4.84085i) q^{85} +(17.9818 + 1.88996i) q^{86} +(2.84538 + 15.1797i) q^{87} +(0.371500 + 0.706204i) q^{88} +8.15328i q^{89} +(8.29287 + 8.22558i) q^{90} +(-0.188535 + 0.580251i) q^{91} +(2.11051 - 9.92915i) q^{92} +(0.553521 - 0.165187i) q^{93} +(-6.83124 + 15.3432i) q^{94} +(-6.18971 + 6.87437i) q^{95} +(8.25245 - 10.8003i) q^{96} +(7.89676 - 3.51587i) q^{97} -13.5864 q^{98} +(-0.170190 - 9.94842i) 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 $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.79897	+	0.800953i	−1.27206	+	0.566360i	−0.927998	−	0.372586i	$-0.878471\pi$
$2$	−1.79897	+	0.800953i	−1.27206	+	0.566360i	−0.344067	+	0.938945i	$0.611805\pi$
$3$	0.666085	+	1.59885i	0.384564	+	0.923098i
$3$	0.666085	+	1.59885i	0.384564	+	0.923098i
$4$	1.25651	−	1.39549i	0.628254	−	0.697747i
$5$	−0.804185	+	1.80623i	−0.359642	+	0.807770i	0.639594	+	0.768712i	$0.279102\pi$
$5$	−0.804185	+	1.80623i	−0.359642	+	0.807770i	−0.999237	+	0.0390577i	$0.987564\pi$
$6$	−2.47887	−	2.34279i	−1.01200	−	0.956439i
$7$	0.0659410	−	0.310228i	0.0249234	−	0.117255i	−0.963927	−	0.266166i	$-0.914243\pi$
$7$	0.0659410	−	0.310228i	0.0249234	−	0.117255i	0.988851	+	0.148910i	$0.0475766\pi$
$8$	0.0743474	−	0.228818i	0.0262858	−	0.0808993i
$9$	−2.11266	+	2.12994i	−0.704221	+	0.709981i
$10$		−	3.89347i		−	1.23122i
$11$	−2.31445	+	2.37557i	−0.697832	+	0.716262i
$11$	−2.31445	+	2.37557i	−0.697832	+	0.716262i
$12$	3.06813	+	1.07946i	0.885693	+	0.311612i
$13$	−1.91314	−	0.201079i	−0.530610	−	0.0557694i	−0.164565	−	0.986366i	$-0.552622\pi$
$13$	−1.91314	−	0.201079i	−0.530610	−	0.0557694i	−0.366045	+	0.930597i	$0.619289\pi$
$14$	0.129852	+	0.610907i	0.0347045	+	0.163272i
$15$	−3.42355	−	0.0826717i	−0.883957	−	0.0213457i
$16$	0.442095	+	4.20626i	0.110524	+	1.05156i
$17$	2.02504	−	1.47127i	0.491143	−	0.356836i	−0.314481	−	0.949264i	$-0.601830\pi$
$17$	2.02504	−	1.47127i	0.491143	−	0.356836i	0.805624	+	0.592427i	$0.201830\pi$
$18$	2.09463	−	5.52385i	0.493709	−	1.30198i
$19$	4.44962	+	1.44577i	1.02081	+	0.331682i	0.771152	−	0.636651i	$-0.219681\pi$
$19$	4.44962	+	1.44577i	1.02081	+	0.331682i	0.249661	+	0.968333i	$0.419681\pi$
$20$	1.51012	+	3.39178i	0.337672	+	0.758425i
$21$	0.539932	−	0.101208i	0.117823	−	0.0220855i
$22$	2.26090	−	6.12735i	0.482025	−	1.30635i
$23$	4.68148	−	2.70286i	0.976157	−	0.563584i	0.0750491	−	0.997180i	$-0.476089\pi$
$23$	4.68148	−	2.70286i	0.976157	−	0.563584i	0.901108	+	0.433595i	$0.142755\pi$
$24$	0.415368	−	0.0335415i	0.0847866	−	0.00684663i
$25$	0.729903	+	0.810640i	0.145981	+	0.162128i
$26$	3.60274	−	1.17060i	0.706556	−	0.229574i
$27$	−4.81268	−	1.95911i	−0.926200	−	0.377031i
$28$	−0.350066	−	0.481825i	−0.0661563	−	0.0910563i
$29$	8.72180	+	1.85388i	1.61960	+	0.344256i	0.926414	−	0.376506i	$-0.122874\pi$
$29$	8.72180	+	1.85388i	1.61960	+	0.344256i	0.693183	+	0.720762i	$0.256208\pi$
$30$	6.22508	−	2.59338i	1.13654	−	0.473484i
$31$	0.0348605	−	0.331676i	0.00626113	−	0.0595707i	−0.990945	−	0.134267i	$-0.957132\pi$
$31$	0.0348605	−	0.331676i	0.00626113	−	0.0595707i	0.997206	+	0.0746962i	$0.0237987\pi$
$32$	−3.92374	−	6.79612i	−0.693626	−	1.20140i
$33$	−5.33981	−	2.11813i	−0.929541	−	0.368719i
$34$	−2.46456	+	4.26874i	−0.422668	+	0.732083i
$35$	0.507314	+	0.368585i	0.0857518	+	0.0623023i
$36$	0.317746	+	5.62450i	0.0529577	+	0.937417i
$37$	2.37275	+	7.30257i	0.390078	+	1.20054i	0.932729	+	0.360577i	$0.117420\pi$
$37$	2.37275	+	7.30257i	0.390078	+	1.20054i	−0.542652	+	0.839958i	$0.682580\pi$
$38$	−9.16273	+	0.963042i	−1.48639	+	0.156226i
$39$	−0.952818	−	3.19277i	−0.152573	−	0.511252i
$40$	0.353508	+	0.318300i	0.0558946	+	0.0503277i
$41$	−9.78937	+	2.08079i	−1.52884	+	0.324965i	−0.894139	−	0.447790i	$-0.852211\pi$
$41$	−9.78937	+	2.08079i	−1.52884	+	0.324965i	−0.634704	+	0.772756i	$0.718878\pi$
$42$	−0.890258	+	0.614531i	−0.137370	+	0.0948242i
$43$	−7.95160	−	4.59086i	−1.21261	−	0.700100i	−0.249281	−	0.968431i	$-0.580194\pi$
$43$	−7.95160	−	4.59086i	−1.21261	−	0.700100i	−0.963327	+	0.268331i	$0.913528\pi$
$44$	0.406974	+	6.21472i	0.0613536	+	0.936905i
$45$	−2.14820	−	5.52882i	−0.320234	−	0.824188i
$46$	−6.25699	+	8.61201i	−0.922543	+	1.26977i
$47$	6.33820	−	5.70694i	0.924521	−	0.832443i	−0.0616625	−	0.998097i	$-0.519640\pi$
$47$	6.33820	−	5.70694i	0.924521	−	0.832443i	0.986184	+	0.165654i	$0.0529736\pi$
$48$	−6.43071	+	3.50857i	−0.928194	+	0.506418i
$49$	6.30292	+	2.80624i	0.900418	+	0.400892i
$50$	−1.96236	−	0.873699i	−0.277519	−	0.123560i
$51$	3.70120	+	2.25774i	0.518271	+	0.316147i
$52$	−2.68448	+	2.41712i	−0.372271	+	0.335194i
$53$	1.05383	−	1.45047i	0.144754	−	0.199237i	−0.730483	−	0.682931i	$-0.760705\pi$
$53$	1.05383	−	1.45047i	0.144754	−	0.199237i	0.875238	+	0.483693i	$0.160705\pi$
$54$	10.2270	−	0.330345i	1.39172	−	0.0449543i
$55$	−2.42958	−	6.09082i	−0.327605	−	0.821286i
$56$	−0.0660832	−	0.0381531i	−0.00883074	−	0.00509843i
$57$	0.652252	+	8.07729i	0.0863929	+	1.06986i
$58$	−17.1751	+	3.65069i	−2.25520	+	0.479359i
$59$	5.77236	+	5.19746i	0.751498	+	0.676652i	0.953046	−	0.302827i	$-0.0979304\pi$
$59$	5.77236	+	5.19746i	0.751498	+	0.676652i	−0.201548	+	0.979479i	$0.564597\pi$
$60$	−4.41709	+	4.67367i	−0.570244	+	0.603368i
$61$	2.45876	−	0.258426i	0.314811	−	0.0330880i	0.0541948	−	0.998530i	$-0.482741\pi$
$61$	2.45876	−	0.258426i	0.314811	−	0.0330880i	0.260617	+	0.965442i	$0.416074\pi$
$62$	0.202944	+	0.624596i	0.0257739	+	0.0793238i
$63$	0.521457	+	0.795858i	0.0656975	+	0.100269i
$64$	5.65871	+	4.11130i	0.707339	+	0.513912i
$65$	1.90171	−	3.29387i	0.235879	−	0.408554i
$66$	11.3027	−	0.466487i	1.39126	−	0.0574206i
$67$	−5.40401	−	9.36002i	−0.660205	−	1.14351i	−0.980562	−	0.196211i	$-0.937136\pi$
$67$	−5.40401	−	9.36002i	−0.660205	−	1.14351i	0.320357	−	0.947297i	$-0.396197\pi$
$68$	0.491320	−	4.67459i	0.0595813	−	0.566878i
$69$	7.43973	+	5.68467i	0.895639	+	0.684354i
$70$	−1.20786	−	0.256739i	−0.144367	−	0.0306862i
$71$	−6.99647	−	9.62982i	−0.830329	−	1.14285i	−0.987862	−	0.155336i	$-0.950354\pi$
$71$	−6.99647	−	9.62982i	−0.830329	−	1.14285i	0.157533	−	0.987514i	$-0.449646\pi$
$72$	0.330298	+	0.641770i	0.0389260	+	0.0756334i
$73$	0.116476	−	0.0378454i	0.0136325	−	0.00442947i	−0.302193	−	0.953247i	$-0.597719\pi$
$73$	0.116476	−	0.0378454i	0.0136325	−	0.00442947i	0.315825	+	0.948817i	$0.397719\pi$
$74$	−10.1175	−	11.2367i	−1.17614	−	1.30623i
$75$	−0.809916	+	1.70696i	−0.0935211	+	0.197103i
$76$	7.60855	−	4.39280i	0.872761	−	0.503889i
$77$	0.584352	+	0.874654i	0.0665931	+	0.0996761i
$78$	4.27135	+	4.98053i	0.483635	+	0.563934i
$79$	−5.07900	−	11.4076i	−0.571433	−	1.28346i	−0.935908	−	0.352245i	$-0.885418\pi$
$79$	−5.07900	−	11.4076i	−0.571433	−	1.28346i	0.364475	−	0.931213i	$-0.381248\pi$
$80$	−7.95299	−	2.58408i	−0.889171	−	0.288909i
$81$	−0.0733198	−	8.99970i	−0.00814665	−	0.999967i
$82$	15.9442	−	11.5841i	1.76074	−	1.27925i
$83$	−0.0451069	−	0.429164i	−0.00495113	−	0.0471068i	0.991767	−	0.128053i	$-0.0408726\pi$
$83$	−0.0451069	−	0.429164i	−0.00495113	−	0.0471068i	−0.996719	+	0.0809457i	$0.974206\pi$
$84$	0.537193	−	0.880641i	0.0586126	−	0.0960858i
$85$	1.02896	+	4.84085i	0.111606	+	0.525064i
$86$	17.9818	+	1.88996i	1.93902	+	0.203800i
$87$	2.84538	+	15.1797i	0.305057	+	1.62744i
$88$	0.371500	+	0.706204i	0.0396020	+	0.0752816i
$89$			8.15328i			0.864246i	0.901815	+	0.432123i	$0.142235\pi$
$89$			8.15328i			0.864246i	−0.901815	+	0.432123i	$0.857765\pi$
$90$	8.29287	+	8.22558i	0.874145	+	0.867052i
$91$	−0.188535	+	0.580251i	−0.0197638	+	0.0608268i
$92$	2.11051	−	9.92915i	0.220035	−	1.03519i
$93$	0.553521	−	0.165187i	0.0573974	−	0.0171291i
$94$	−6.83124	+	15.3432i	−0.704589	+	1.58253i
$95$	−6.18971	+	6.87437i	−0.635051	+	0.705295i
$96$	8.25245	−	10.8003i	0.842262	−	1.10230i
$97$	7.89676	−	3.51587i	0.801795	−	0.356982i	0.0354174	−	0.999373i	$-0.488724\pi$
$97$	7.89676	−	3.51587i	0.801795	−	0.356982i	0.766377	+	0.642391i	$0.222057\pi$
$98$	−13.5864			−1.37244
$99$	−0.170190	−	9.94842i	−0.0171047	−	0.999854i
$100$	2.04837			0.204837
$101$	1.51058	−	0.672555i	0.150309	−	0.0669217i	−0.330204	−	0.943910i	$-0.607117\pi$
$101$	1.51058	−	0.672555i	0.150309	−	0.0669217i	0.480512	+	0.876988i	$0.340451\pi$
$102$	−8.46669	−	1.09712i	−0.838327	−	0.108631i
$103$	4.13083	−	4.58775i	0.407023	−	0.452045i	−0.504428	−	0.863454i	$-0.668297\pi$
$103$	4.13083	−	4.58775i	0.407023	−	0.452045i	0.911451	+	0.411409i	$0.134963\pi$
$104$	−0.188248	+	0.422811i	−0.0184592	+	0.0414600i
$105$	−0.251400	+	1.05663i	−0.0245341	+	0.103117i
$106$	−0.734048	+	3.45342i	−0.0712970	+	0.335426i
$107$	−3.66316	+	11.2740i	−0.354131	+	1.08990i	0.602381	+	0.798209i	$0.294219\pi$
$107$	−3.66316	+	11.2740i	−0.354131	+	1.08990i	−0.956512	+	0.291694i	$0.905781\pi$
$108$	−8.78110	+	4.25442i	−0.844962	+	0.409382i
$109$			3.30028i			0.316109i	0.987430	+	0.158055i	$0.0505222\pi$
$109$			3.30028i			0.316109i	−0.987430	+	0.158055i	$0.949478\pi$
$110$	9.24921	+	9.01122i	0.881878	+	0.859186i
$111$	−10.0953	+	8.65781i	−0.958202	+	0.821763i
$112$	1.33405	+	0.140215i	0.126056	+	0.0132490i
$113$	−1.07633	−	5.06373i	−0.101253	−	0.476356i	−0.999333	−	0.0365240i	$-0.988371\pi$
$113$	−1.07633	−	5.06373i	−0.101253	−	0.476356i	0.898080	−	0.439832i	$-0.144962\pi$
$114$	−7.64292	−	14.0084i	−0.715825	−	1.31201i
$115$	1.11720	+	10.6294i	0.104179	+	0.991199i
$116$	13.5461	−	9.84181i	1.25772	−	0.913789i
$117$	4.47011	−	3.65007i	0.413262	−	0.337449i
$118$	−14.5472	−	4.72668i	−1.33918	−	0.435127i
$119$	−0.322898	−	0.725240i	−0.0296000	−	0.0664827i
$120$	−0.273449	+	0.777223i	−0.0249623	+	0.0709504i
$121$	−0.286676	−	10.9963i	−0.0260615	−	0.999660i
$122$	−4.21624	+	2.43425i	−0.381721	+	0.220387i
$123$	−9.84743	−	14.2658i	−0.887913	−	1.28630i
$124$	−0.419049	−	0.465401i	−0.0376317	−	0.0417942i
$125$	−11.4532	+	3.72135i	−1.02440	+	0.332848i
$126$	−1.57553	−	1.01406i	−0.140360	−	0.0903398i
$127$	−2.22013	−	3.05575i	−0.197005	−	0.271154i	0.699073	−	0.715050i	$-0.253596\pi$
$127$	−2.22013	−	3.05575i	−0.197005	−	0.271154i	−0.896078	+	0.443896i	$0.853596\pi$
$128$	1.87917	+	0.399431i	0.166097	+	0.0353050i
$129$	2.04367	−	15.7713i	0.179935	−	1.38859i
$130$	−0.782896	+	7.44876i	−0.0686645	+	0.653299i
$131$	4.45993	+	7.72483i	0.389666	+	0.674921i	0.992405	−	0.123017i	$-0.0392571\pi$
$131$	4.45993	+	7.72483i	0.389666	+	0.674921i	−0.602738	+	0.797939i	$0.705924\pi$
$132$	−9.66535	+	4.79022i	−0.841261	+	0.416936i
$133$	0.741931	−	1.28506i	0.0643336	−	0.111429i
$134$	17.2186	+	12.5100i	1.48746	+	1.08070i
$135$	7.40889	−	7.11731i	0.637656	−	0.612561i
$136$	−0.186098	−	0.572750i	−0.0159577	−	0.0491129i
$137$	−4.79687	+	0.504171i	−0.409824	+	0.0430743i	−0.307198	−	0.951646i	$-0.599391\pi$
$137$	−4.79687	+	0.504171i	−0.409824	+	0.0430743i	−0.102626	+	0.994720i	$0.532725\pi$
$138$	−17.9370	−	4.26768i	−1.52690	−	0.363289i
$139$	−5.34940	−	4.81662i	−0.453730	−	0.408540i	0.410324	−	0.911940i	$-0.365416\pi$
$139$	−5.34940	−	4.81662i	−0.453730	−	0.408540i	−0.864054	+	0.503399i	$0.832082\pi$
$140$	1.15180	−	0.244823i	0.0973452	−	0.0206914i
$141$	13.3463	+	6.33254i	1.12396	+	0.533296i
$142$	20.2995	+	11.7199i	1.70350	+	0.983514i
$143$	4.90554	−	4.07942i	0.410222	−	0.341138i
$144$	−9.89309	−	7.94476i	−0.824424	−	0.662063i
$145$	−10.3625	+	14.2627i	−0.860556	+	1.18445i
$146$	−0.179225	+	0.161375i	−0.0148328	+	0.0133555i
$147$	−0.288487	+	11.9466i	−0.0237940	+	0.985343i
$148$	13.1721	+	5.86459i	1.08274	+	0.482066i
$149$	3.10216	+	1.38117i	0.254139	+	0.113150i	0.529852	−	0.848090i	$-0.322247\pi$
$149$	3.10216	+	1.38117i	0.254139	+	0.113150i	−0.275713	+	0.961240i	$0.588914\pi$
$150$	0.0898178	−	3.71948i	0.00733360	−	0.303694i
$151$	−6.31260	+	5.68389i	−0.513712	+	0.462549i	−0.884748	−	0.466070i	$-0.845670\pi$
$151$	−6.31260	+	5.68389i	−0.513712	+	0.462549i	0.371035	+	0.928619i	$0.379003\pi$
$152$	0.661635	−	0.910663i	0.0536657	−	0.0738645i
$153$	−1.14448	+	7.42152i	−0.0925260	+	0.599994i
$154$	−1.75179	−	1.10544i	−0.141163	−	0.0890788i
$155$	0.571048	+	0.329695i	0.0458677	+	0.0264817i
$156$	−5.65271	−	2.68209i	−0.452579	−	0.214739i
$157$	18.0930	−	3.84578i	1.44398	−	0.306927i	0.581717	−	0.813391i	$-0.302381\pi$
$157$	18.0930	−	3.84578i	1.44398	−	0.306927i	0.862261	+	0.506465i	$0.169048\pi$
$158$	18.2740	+	16.4539i	1.45380	+	1.30901i
$159$	3.02103	+	0.718780i	0.239583	+	0.0570030i
$160$	15.4308	−	1.62184i	1.21991	−	0.128218i
$161$	−0.529800	−	1.63056i	−0.0417541	−	0.128506i
$162$	7.34024	+	16.1315i	0.576704	+	1.26741i
$163$	−15.0169	−	10.9104i	−1.17622	−	0.854572i	−0.184478	−	0.982837i	$-0.559059\pi$
$163$	−15.0169	−	10.9104i	−1.17622	−	0.854572i	−0.991740	+	0.128265i	$0.959059\pi$
$164$	−9.39669	+	16.2755i	−0.733758	+	1.27091i
$165$	8.12002	−	7.94155i	0.632142	−	0.618249i
$166$	0.424886	+	0.735925i	0.0329776	+	0.0571188i
$167$	1.43137	−	13.6185i	0.110762	−	1.05383i	−0.788083	−	0.615569i	$-0.788926\pi$
$167$	1.43137	−	13.6185i	0.110762	−	1.05383i	0.898846	−	0.438265i	$-0.144407\pi$
$168$	0.0169843	−	0.131071i	0.00131036	−	0.0101123i
$169$	−9.09624	−	1.93347i	−0.699711	−	0.148728i
$170$	−5.72836	−	7.88441i	−0.439345	−	0.604707i
$171$	−12.4800	+	6.42302i	−0.954366	+	0.491181i
$172$	−16.3978	+	5.32796i	−1.25032	+	0.406253i
$173$	8.85187	+	9.83099i	0.672995	+	0.747437i	0.978836	−	0.204646i	$-0.0656043\pi$
$173$	8.85187	+	9.83099i	0.672995	+	0.747437i	−0.305841	+	0.952083i	$0.598938\pi$
$174$	−17.2770	−	25.0288i	−1.30977	−	1.89743i
$175$	0.299614	−	0.172982i	0.0226487	−	0.0130762i
$176$	−11.0155	−	8.68493i	−0.830322	−	0.654651i
$177$	−4.46509	+	12.6911i	−0.335617	+	0.953922i
$178$	−6.53040	−	14.6675i	−0.489474	−	1.09938i
$179$	5.38656	+	1.75020i	0.402611	+	0.130816i	0.503321	−	0.864100i	$-0.332111\pi$
$179$	5.38656	+	1.75020i	0.402611	+	0.130816i	−0.100710	+	0.994916i	$0.532111\pi$
$180$	−10.4147	−	3.94922i	−0.776263	−	0.294357i
$181$	8.30217	−	6.03188i	0.617096	−	0.448346i	−0.234810	−	0.972041i	$-0.575447\pi$
$181$	8.30217	−	6.03188i	0.617096	−	0.448346i	0.851906	+	0.523695i	$0.175447\pi$
$182$	−0.125585	−	1.19486i	−0.00930899	−	0.0885691i
$183$	2.05093	+	3.75906i	0.151609	+	0.277877i
$184$	−0.270405	−	1.27216i	−0.0199345	−	0.0937847i
$185$	−15.0982	−	1.58689i	−1.11004	−	0.116670i
$186$	−0.863460	+	0.740511i	−0.0633120	+	0.0542969i
$187$	−1.19172	+	8.21580i	−0.0871471	+	0.600799i
$188$		−	16.0157i		−	1.16807i
$189$	−0.925125	+	1.36384i	−0.0672929	+	0.0992050i
$190$	5.62906	−	17.3245i	0.408375	−	1.25685i
$191$	−1.17503	+	5.52810i	−0.0850225	+	0.400000i	−0.999994	−	0.00351939i	$-0.998880\pi$
$191$	−1.17503	+	5.52810i	−0.0850225	+	0.400000i	0.914971	+	0.403519i	$0.132213\pi$
$192$	−2.80417	+	11.7859i	−0.202374	+	0.850576i
$193$	−7.30850	+	16.4152i	−0.526078	+	1.18159i	0.433759	+	0.901029i	$0.357187\pi$
$193$	−7.30850	+	16.4152i	−0.526078	+	1.18159i	−0.959836	+	0.280561i	$0.909480\pi$
$194$	−11.3900	+	12.6499i	−0.817755	+	0.908208i
$195$	6.53311	+	0.846568i	0.467846	+	0.0606240i
$196$	11.8358	−	5.26963i	0.845413	−	0.376402i
$197$	−2.51065			−0.178877			−0.0894383	−	0.995992i	$-0.528507\pi$
$197$	−2.51065			−0.178877			−0.0894383	+	0.995992i	$0.528507\pi$
$198$	8.27439	+	17.7606i	0.588035	+	1.26219i
$199$	12.2300			0.866959			0.433479	−	0.901163i	$-0.357286\pi$
$199$	12.2300			0.866959			0.433479	+	0.901163i	$0.357286\pi$
$200$	0.239755	−	0.106746i	0.0169532	−	0.00754807i
$201$	11.3658	−	14.8748i	0.801679	−	1.04919i
$202$	−2.17881	+	2.41981i	−0.153300	+	0.170257i
$203$	1.15025	−	2.58350i	0.0807316	−	0.181326i
$204$	7.80125	−	2.32813i	0.546197	−	0.163002i
$205$	4.11407	−	19.3552i	0.287339	−	1.35182i
$206$	−3.75667	+	11.5618i	−0.261739	+	0.805551i
$207$	−4.13346	+	15.6815i	−0.287295	+	1.08994i
$208$		−	8.13606i		−	0.564134i
$209$	−13.7329	+	7.22423i	−0.949927	+	0.499711i
$210$	−0.394051	−	2.10221i	−0.0271921	−	0.145066i
$211$	25.1315	+	2.64142i	1.73012	+	0.181843i	0.916630	−	0.399736i	$-0.130898\pi$
$211$	25.1315	+	2.64142i	1.73012	+	0.181843i	0.813490	+	0.581579i	$0.197565\pi$
$212$	−0.699979	−	3.29314i	−0.0480747	−	0.226174i
$213$	10.7364	−	17.6006i	0.735648	−	1.20597i
$214$	−2.44007	−	23.2157i	−0.166800	−	1.58699i
$215$	14.6867	−	10.6705i	1.00162	−	0.727723i
$216$	−0.806090	+	0.955572i	−0.0548475	+	0.0650184i
$217$	−0.100596	−	0.0326858i	−0.00682893	−	0.00221885i
$218$	−2.64337	−	5.93711i	−0.179032	−	0.402112i
$219$	0.138092	+	0.161020i	0.00933141	+	0.0108807i
$220$	−11.5525	−	4.26270i	−0.778869	−	0.287391i
$221$	−4.17002	+	2.40756i	−0.280506	+	0.161950i
$222$	11.2266	−	23.6610i	0.753481	−	1.58802i
$223$	9.42718	+	10.4699i	0.631290	+	0.701119i	0.970910	−	0.239444i	$-0.0769651\pi$
$223$	9.42718	+	10.4699i	0.631290	+	0.701119i	−0.339620	+	0.940563i	$0.610298\pi$
$224$	−2.36708	+	0.769112i	−0.158157	+	0.0513884i
$225$	−3.26866	−	0.157955i	−0.217910	−	0.0105303i
$226$	5.99210	+	8.24741i	0.398588	+	0.548610i
$227$	−15.2425	−	3.23990i	−1.01168	−	0.215040i	−0.327890	−	0.944716i	$-0.606337\pi$
$227$	−15.2425	−	3.23990i	−1.01168	−	0.215040i	−0.683793	+	0.729676i	$0.739671\pi$
$228$	12.0914	+	9.23898i	0.800771	+	0.611866i
$229$	−2.15145	+	20.4697i	−0.142172	+	1.35268i	0.658051	+	0.752973i	$0.271381\pi$
$229$	−2.15145	+	20.4697i	−0.142172	+	1.35268i	−0.800223	+	0.599702i	$0.795286\pi$
$230$	−10.5235	−	18.2272i	−0.693898	−	1.20187i
$231$	−1.00922	+	1.51689i	−0.0664015	+	0.0998038i
$232$	1.07264	−	1.85787i	0.0704224	−	0.121975i
$233$	2.11851	+	1.53918i	0.138788	+	0.100835i	0.655013	−	0.755618i	$-0.272663\pi$
$233$	2.11851	+	1.53918i	0.138788	+	0.100835i	−0.516225	+	0.856453i	$0.672663\pi$
$234$	−5.11806	+	10.1467i	−0.334578	+	0.663312i
$235$	5.21096	+	16.0377i	0.339925	+	1.04618i
$236$	14.5061	−	1.52465i	0.944264	−	0.0992461i
$237$	14.8561	−	15.7190i	0.965006	−	1.02106i
$238$	1.16177	+	1.04606i	0.0753062	+	0.0678060i
$239$	21.7827	−	4.63006i	1.40901	−	0.299494i	0.560271	−	0.828310i	$-0.310697\pi$
$239$	21.7827	−	4.63006i	1.40901	−	0.299494i	0.848736	+	0.528816i	$0.177364\pi$
$240$	−1.16580	−	14.4369i	−0.0752519	−	0.931897i
$241$	−21.2923	−	12.2931i	−1.37156	−	0.791870i	−0.380434	−	0.924808i	$-0.624225\pi$
$241$	−21.2923	−	12.2931i	−1.37156	−	0.791870i	−0.991124	+	0.132938i	$0.957559\pi$
$242$	9.32322	+	19.5523i	0.599319	+	1.25687i
$243$	14.3404	−	6.11179i	0.919935	−	0.392072i
$244$	2.72882	−	3.75589i	0.174695	−	0.240447i
$245$	−10.1374	+	9.12779i	−0.647657	+	0.583153i
$246$	29.1415	+	17.7764i	1.85799	+	1.13338i
$247$	−8.22204	−	3.66069i	−0.523156	−	0.232924i
$248$	−0.0733015	−	0.0326359i	−0.00465465	−	0.00207238i
$249$	0.656125	−	0.357979i	0.0415802	−	0.0226860i
$250$	17.6233	−	15.8680i	1.11459	−	1.00358i
$251$	7.34629	−	10.1113i	0.463694	−	0.638220i	−0.511576	−	0.859238i	$-0.670938\pi$
$251$	7.34629	−	10.1113i	0.463694	−	0.638220i	0.975270	+	0.221018i	$0.0709381\pi$
$252$	1.76583	+	0.272312i	0.111237	+	0.0171540i
$253$	−4.41422	+	17.3768i	−0.277519	+	1.09247i
$254$	6.44147	+	3.71898i	0.404174	+	0.233350i
$255$	−7.05444	+	4.86957i	−0.441766	+	0.304944i
$256$	−17.3839	+	3.69506i	−1.08649	+	0.230942i
$257$	−9.11426	−	8.20652i	−0.568532	−	0.511908i	0.333976	−	0.942582i	$-0.391610\pi$
$257$	−9.11426	−	8.20652i	−0.568532	−	0.511908i	−0.902508	+	0.430673i	$0.858276\pi$
$258$	8.95562	+	30.0091i	0.557552	+	1.86828i
$259$	2.42192	−	0.254555i	0.150491	−	0.0158172i
$260$	−2.20705	−	6.79261i	−0.136876	−	0.421259i
$261$	−22.3749	+	14.6603i	−1.38497	+	0.907451i
$262$	−14.2105	−	10.3245i	−0.877929	−	0.637853i
$263$	4.64521	−	8.04575i	0.286436	−	0.496122i	−0.686520	−	0.727111i	$-0.740863\pi$
$263$	4.64521	−	8.04575i	0.286436	−	0.496122i	0.972956	+	0.230989i	$0.0741960\pi$
$264$	−0.881666	+	1.06437i	−0.0542628	+	0.0655072i
$265$	1.77241	+	3.06990i	0.108878	+	0.188583i
$266$	−0.305437	+	2.90604i	−0.0187276	+	0.178181i
$267$	−13.0359	+	5.43078i	−0.797784	+	0.332358i
$268$	−19.8520	−	4.21968i	−1.21266	−	0.257758i
$269$	−12.5983	−	17.3401i	−0.768131	−	1.05724i	−0.996494	−	0.0836659i	$-0.973337\pi$
$269$	−12.5983	−	17.3401i	−0.768131	−	1.05724i	0.228363	−	0.973576i	$-0.426663\pi$
$270$	−7.62774	+	18.7380i	−0.464210	+	1.14036i
$271$	−7.87807	+	2.55974i	−0.478559	+	0.155493i	−0.538356	−	0.842717i	$-0.680954\pi$
$271$	−7.87807	+	2.55974i	−0.478559	+	0.155493i	0.0597976	+	0.998211i	$0.480954\pi$
$272$	7.08382	+	7.86738i	0.429520	+	0.477030i
$273$	−1.05332	+	0.0850567i	−0.0637496	+	0.00514787i
$274$	8.22561	−	4.74906i	0.496927	−	0.286901i
$275$	−3.61505	−	0.142245i	−0.217996	−	0.00857769i
$276$	17.2810	−	3.23927i	1.04020	−	0.194981i
$277$	4.69723	+	10.5502i	0.282229	+	0.633898i	0.997916	−	0.0645238i	$-0.0205528\pi$
$277$	4.69723	+	10.5502i	0.282229	+	0.633898i	−0.715687	+	0.698421i	$0.753886\pi$
$278$	13.4813	+	4.38034i	0.808555	+	0.262715i
$279$	0.632802	+	0.774969i	0.0378849	+	0.0463962i
$280$	0.122056	−	0.0886792i	0.00729427	−	0.00529959i
$281$	−0.135394	−	1.28818i	−0.00807691	−	0.0768467i	0.989741	−	0.142874i	$-0.0456343\pi$
$281$	−0.135394	−	1.28818i	−0.00807691	−	0.0768467i	−0.997818	+	0.0660271i	$0.978968\pi$
$282$	−29.0817	−	0.702264i	−1.73179	−	0.0418192i
$283$	−1.37490	−	6.46839i	−0.0817293	−	0.384506i	0.918203	−	0.396109i	$-0.129640\pi$
$283$	−1.37490	−	6.46839i	−0.0817293	−	0.384506i	−0.999933	+	0.0116032i	$0.996307\pi$
$284$	−22.2295	−	2.33641i	−1.31908	−	0.138641i
$285$	−15.1140	−	5.31752i	−0.895275	−	0.314983i
$286$	−5.55750	+	11.2679i	−0.328622	+	0.666283i
$287$			3.17415i			0.187364i
$288$	22.7649	+	6.00055i	1.34143	+	0.353586i
$289$	−3.31717	+	10.2092i	−0.195128	+	0.600541i
$290$	7.21800	−	33.9580i	0.423856	−	1.99408i
$291$	10.8813	+	10.2839i	0.637871	+	0.602853i
$292$	0.0935403	−	0.210095i	0.00547403	−	0.0122949i
$293$	4.62215	−	5.13342i	0.270029	−	0.299897i	−0.592845	−	0.805316i	$-0.701995\pi$
$293$	4.62215	−	5.13342i	0.270029	−	0.299897i	0.862874	+	0.505419i	$0.168662\pi$
$294$	−9.04973	−	21.7227i	−0.527791	−	1.26690i
$295$	−14.0299	+	6.24649i	−0.816850	+	0.363685i
$296$	1.84737			0.107376
$297$	15.7927	−	6.89860i	0.916385	−	0.400297i
$298$	−6.68695			−0.387365
$299$	−9.49983	+	4.22960i	−0.549389	+	0.244604i
$300$	1.36439	+	3.27505i	0.0787731	+	0.189085i
$301$	−1.94855	+	2.16409i	−0.112313	+	0.124736i
$302$	6.80366	−	15.2813i	0.391506	−	0.879338i
$303$	2.08149	+	1.96722i	0.119579	+	0.113014i
$304$	−4.11412	+	19.3554i	−0.235961	+	1.11011i
$305$	−1.51052	+	4.64890i	−0.0864921	+	0.266195i
$306$	−3.88540	−	14.2678i	−0.222113	−	0.815634i
$307$		−	11.5549i		−	0.659473i	−0.944073	−	0.329737i	$-0.893040\pi$
$307$		−	11.5549i		−	0.659473i	0.944073	−	0.329737i	$-0.106960\pi$
$308$	1.95482	+	0.283550i	0.111386	+	0.0161568i
$309$	10.0866	+	3.54876i	0.573808	+	0.201882i
$310$	−1.29137	−	0.135728i	−0.0733448	−	0.00770885i
$311$	1.45143	+	6.82843i	0.0823029	+	0.387205i	0.999948	−	0.0101961i	$-0.00324558\pi$
$311$	1.45143	+	6.82843i	0.0823029	+	0.387205i	−0.917645	+	0.397401i	$0.869912\pi$
$312$	−0.801402	−	0.0193522i	−0.0453704	−	0.00109560i
$313$	2.99774	+	28.5216i	0.169442	+	1.61214i	0.667240	+	0.744843i	$0.267475\pi$
$313$	2.99774	+	28.5216i	0.169442	+	1.61214i	−0.497798	+	0.867293i	$0.665858\pi$
$314$	−29.4685	+	21.4101i	−1.66300	+	1.20824i
$315$	−1.85685	+	0.301855i	−0.104622	+	0.0170076i
$316$	−22.3011	−	7.24607i	−1.25453	−	0.407623i
$317$	−12.2046	−	27.4120i	−0.685478	−	1.53961i	−0.834639	−	0.550797i	$-0.814324\pi$
$317$	−12.2046	−	27.4120i	−0.685478	−	1.53961i	0.149161	−	0.988813i	$-0.452343\pi$
$318$	−6.01045	+	1.12664i	−0.337049	+	0.0631787i
$319$	−24.5901	+	16.4286i	−1.37678	+	0.919823i
$320$	−11.9766	+	6.91469i	−0.669512	+	0.386543i
$321$	−20.4655	+	1.65262i	−1.14227	+	0.0922401i
$322$	2.25910	+	2.50898i	0.125894	+	0.139820i
$323$	11.1378	−	3.61888i	0.619722	−	0.201360i
$324$	−12.6512	−	11.2059i	−0.702842	−	0.622549i
$325$	−1.23341	−	1.69764i	−0.0684170	−	0.0941679i
$326$	35.7538	+	7.59970i	1.98022	+	0.420909i
$327$	−5.27666	+	2.19827i	−0.291800	+	0.121564i
$328$	−0.251691	+	2.39468i	−0.0138973	+	0.132224i
$329$	−1.35251	−	2.34261i	−0.0745661	−	0.129152i
$330$	−8.24686	+	20.7904i	−0.453975	+	1.14447i
$331$	−4.26661	+	7.38998i	−0.234514	+	0.406190i	−0.959131	−	0.282961i	$-0.908683\pi$
$331$	−4.26661	+	7.38998i	−0.234514	+	0.406190i	0.724617	+	0.689151i	$0.242017\pi$
$332$	−0.655573	−	0.476302i	−0.0359792	−	0.0261404i
$333$	−20.5669	−	10.3740i	−1.12706	−	0.568494i
$334$	8.33283	+	25.6458i	0.455952	+	1.40328i
$335$	21.2522	−	2.23369i	1.16113	−	0.122040i
$336$	0.664409	+	2.22635i	0.0362465	+	0.121457i
$337$	−8.87505	−	7.99113i	−0.483455	−	0.435304i	0.391015	−	0.920384i	$-0.372124\pi$
$337$	−8.87505	−	7.99113i	−0.483455	−	0.435304i	−0.874470	+	0.485080i	$0.838791\pi$
$338$	17.9125	−	3.80742i	0.974311	−	0.207096i
$339$	7.37923	−	5.09377i	0.400785	−	0.276655i
$340$	8.04828	+	4.64667i	0.436479	+	0.252001i
$341$	0.707236	+	0.850459i	0.0382990	+	0.0460549i
$342$	17.3065	−	21.5507i	0.935830	−	1.16533i
$343$	2.59115	−	3.56641i	0.139909	−	0.192568i
$344$	−1.64165	+	1.47815i	−0.0885119	+	0.0796965i
$345$	−16.2507	+	8.86634i	−0.874911	+	0.477347i
$346$	−23.7984	−	10.5957i	−1.27941	−	0.569631i
$347$	13.1923	+	5.87358i	0.708199	+	0.315310i	0.729039	−	0.684472i	$-0.239967\pi$
$347$	13.1923	+	5.87358i	0.708199	+	0.315310i	−0.0208399	+	0.999783i	$0.506634\pi$
$348$	24.7585	+	15.1027i	1.32719	+	0.809591i
$349$	23.9844	−	21.5956i	1.28385	−	1.15599i	0.304793	−	0.952419i	$-0.401413\pi$
$349$	23.9844	−	21.5956i	1.28385	−	1.15599i	0.979061	−	0.203568i	$-0.0652539\pi$
$350$	−0.400446	+	0.551167i	−0.0214047	+	0.0294611i
$351$	8.81340	+	4.71579i	0.470424	+	0.251710i
$352$	25.2259	+	6.40813i	1.34455	+	0.341554i
$353$	5.61311	+	3.24073i	0.298756	+	0.172487i	0.641884	−	0.766802i	$-0.278153\pi$
$353$	5.61311	+	3.24073i	0.298756	+	0.172487i	−0.343128	+	0.939289i	$0.611487\pi$
$354$	−2.13242	−	26.4073i	−0.113337	−	1.40353i
$355$	23.0201	−	4.89308i	1.22178	−	0.259698i
$356$	11.3779	+	10.2447i	0.603026	+	0.542967i
$357$	0.944475	−	0.999338i	0.0499869	−	0.0528906i
$358$	−11.0921	+	1.16583i	−0.586236	+	0.0616159i
$359$	2.95299	+	9.08837i	0.155853	+	0.479666i	0.998246	−	0.0591972i	$-0.0188541\pi$
$359$	2.95299	+	9.08837i	0.155853	+	0.479666i	−0.842393	+	0.538863i	$0.818854\pi$
$360$	−1.42481	+	0.0804918i	−0.0750938	+	0.00424229i
$361$	2.33755	+	1.69833i	0.123029	+	0.0893858i
$362$	−10.1041	+	17.5008i	−0.531060	+	0.919824i
$363$	17.3905	−	7.78280i	0.912762	−	0.408491i
$364$	0.572841	+	0.992190i	0.0300250	+	0.0520049i
$365$	−0.0253109	+	0.240817i	−0.00132483	+	0.0126050i
$366$	−6.70038	−	5.11974i	−0.350235	−	0.267613i
$367$	7.89325	+	1.67776i	0.412024	+	0.0875785i	0.409260	−	0.912418i	$-0.365787\pi$
$367$	7.89325	+	1.67776i	0.412024	+	0.0875785i	0.00276405	+	0.999996i	$0.499120\pi$
$368$	13.4386	+	18.4966i	0.700534	+	0.964202i
$369$	16.2496	−	25.2468i	0.845923	−	1.31430i
$370$	28.4323	−	9.23822i	1.47813	−	0.480272i
$371$	−0.380486	−	0.422573i	−0.0197539	−	0.0219389i
$372$	0.464986	−	0.979994i	0.0241084	−	0.0508103i
$373$	−0.603037	+	0.348164i	−0.0312241	+	0.0180272i	−0.515531	−	0.856871i	$-0.672405\pi$
$373$	−0.603037	+	0.348164i	−0.0312241	+	0.0180272i	0.484307	+	0.874898i	$0.339072\pi$
$374$	−4.43661	−	15.7345i	−0.229411	−	0.813612i
$375$	−13.5787	−	15.8332i	−0.701199	−	0.817621i
$376$	−0.834621	−	1.87459i	−0.0430423	−	0.0966745i
$377$	−16.3133	−	5.30050i	−0.840175	−	0.272990i
$378$	0.571898	−	3.19450i	0.0294153	−	0.164307i
$379$	2.08014	−	1.51131i	0.106850	−	0.0776308i	−0.533077	−	0.846066i	$-0.678965\pi$
$379$	2.08014	−	1.51131i	0.106850	−	0.0776308i	0.639927	+	0.768436i	$0.278965\pi$
$380$	1.81572	+	17.2754i	0.0931444	+	0.886210i
$381$	3.40690	−	5.58506i	0.174541	−	0.286131i
$382$	−2.31390	−	10.8860i	−0.118389	−	0.556979i
$383$	−6.20139	−	0.651793i	−0.316876	−	0.0333050i	−0.0552447	−	0.998473i	$-0.517594\pi$
$383$	−6.20139	−	0.651793i	−0.316876	−	0.0333050i	−0.261632	+	0.965168i	$0.584261\pi$
$384$	0.613058	+	3.27058i	0.0312850	+	0.166901i
$385$	−2.04975	+	0.352090i	−0.104465	+	0.0179442i
$386$		−	35.3842i		−	1.80101i
$387$	26.5773	−	7.23753i	1.35100	−	0.367904i
$388$	5.01598	−	15.4376i	0.254648	−	0.783726i
$389$	5.71286	−	26.8769i	0.289653	−	1.36271i	−0.556976	−	0.830528i	$-0.688039\pi$
$389$	5.71286	−	26.8769i	0.289653	−	1.36271i	0.846629	−	0.532183i	$-0.178628\pi$
$390$	−12.4309	+	3.70977i	−0.629465	+	0.187851i
$391$	5.50353	−	12.3611i	0.278325	−	0.625129i
$392$	1.11072	−	1.23358i	0.0561001	−	0.0623054i
$393$	−9.38017	+	12.2762i	−0.473167	+	0.619251i
$394$	4.51659	−	2.01092i	0.227543	−	0.101308i
$395$	24.6893			1.24225
$396$	−14.0968	−	12.2628i	−0.708391	−	0.616228i
$397$	7.45945			0.374379			0.187190	−	0.982324i	$-0.440062\pi$
$397$	7.45945			0.374379			0.187190	+	0.982324i	$0.440062\pi$
$398$	−22.0013	+	9.79563i	−1.10283	+	0.491010i
$399$	2.54881	+	0.330278i	0.127600	+	0.0165346i
$400$	−3.08707	+	3.42854i	−0.154354	+	0.171427i
$401$	−1.01221	+	2.27346i	−0.0505474	+	0.113531i	−0.937054	−	0.349185i	$-0.886458\pi$
$401$	−1.01221	+	2.27346i	−0.0505474	+	0.113531i	0.886506	+	0.462716i	$0.153125\pi$
$402$	−8.53267	+	35.8628i	−0.425571	+	1.78867i
$403$	−0.133386	+	0.627533i	−0.00664444	+	0.0312596i
$404$	0.959514	−	2.95308i	0.0477376	−	0.146921i
$405$	16.3145	+	7.10499i	0.810673	+	0.353050i
$406$			5.56894i			0.276382i
$407$	−22.8394	−	11.2648i	−1.13211	−	0.558374i
$408$	0.791786	−	0.679043i	0.0391992	−	0.0336176i
$409$	29.4555	+	3.09590i	1.45648	+	0.153082i	0.799429	−	0.600761i	$-0.205136\pi$
$409$	29.4555	+	3.09590i	1.45648	+	0.153082i	0.657054	+	0.753844i	$0.271802\pi$
$410$	8.10151	+	38.1146i	0.400105	+	1.88235i
$411$	−4.00122	−	7.33367i	−0.197366	−	0.361743i
$412$	−1.21176	−	11.5291i	−0.0596990	−	0.567998i
$413$	1.99303	−	1.44802i	0.0980708	−	0.0712526i
$414$	−5.12419	−	31.5213i	−0.251840	−	1.54919i
$415$	0.811442	+	0.263654i	0.0398321	+	0.0129422i
$416$	6.14011	+	13.7909i	0.301044	+	0.676155i
$417$	4.13792	−	11.7612i	0.202635	−	0.575948i
$418$	18.9189	−	23.9956i	0.925353	−	1.17366i
$419$	−7.83379	+	4.52284i	−0.382706	+	0.220955i	−0.678995	−	0.734143i	$-0.737584\pi$
$419$	−7.83379	+	4.52284i	−0.382706	+	0.220955i	0.296289	+	0.955098i	$0.404251\pi$
$420$	1.15864	+	1.67849i	0.0565356	+	0.0819020i
$421$	−14.5427	−	16.1513i	−0.708770	−	0.787169i	0.275977	−	0.961164i	$-0.410999\pi$
$421$	−14.5427	−	16.1513i	−0.708770	−	0.787169i	−0.984746	+	0.173996i	$0.944332\pi$
$422$	−47.3264	+	15.3773i	−2.30381	+	0.748554i
$423$	−1.23501	+	25.5568i	−0.0600483	+	1.24262i
$424$	−0.253544	−	0.348973i	−0.0123132	−	0.0169476i
$425$	2.67075	+	0.567686i	0.129551	+	0.0275368i
$426$	−5.21724	+	40.2624i	−0.252776	+	1.95072i
$427$	0.0819620	−	0.779816i	0.00396642	−	0.0377380i
$428$	11.1301	+	19.2778i	0.537992	+	0.931830i
$429$	9.78989	+	5.12600i	0.472661	+	0.247486i
$430$	−17.8744	+	30.9593i	−0.861979	+	1.49299i
$431$	−14.2119	−	10.3256i	−0.684565	−	0.497366i	0.190304	−	0.981725i	$-0.439053\pi$
$431$	−14.2119	−	10.3256i	−0.684565	−	0.497366i	−0.874869	+	0.484359i	$0.839053\pi$
$432$	6.11287	−	21.1095i	0.294105	−	1.01563i
$433$	−4.84981	−	14.9262i	−0.233067	−	0.717306i	−0.997372	−	0.0724515i	$-0.976918\pi$
$433$	−4.84981	−	14.9262i	−0.233067	−	0.717306i	0.764305	−	0.644855i	$-0.223082\pi$
$434$	0.207150	−	0.0217723i	0.00994351	−	0.00104510i
$435$	−29.7062	−	7.06788i	−1.42431	−	0.338879i
$436$	4.60552	+	4.14683i	0.220565	+	0.198597i
$437$	24.7385	−	5.25834i	1.18340	−	0.251540i
$438$	−0.377394	−	0.179065i	−0.0180326	−	0.00855605i
$439$	−10.3281	−	5.96296i	−0.492936	−	0.284597i	0.232856	−	0.972511i	$-0.425193\pi$
$439$	−10.3281	−	5.96296i	−0.492936	−	0.284597i	−0.725792	+	0.687915i	$0.758526\pi$
$440$	−1.57432	+	0.103095i	−0.0750528	+	0.00491487i
$441$	−19.2931	+	7.49623i	−0.918718	+	0.356963i
$442$	5.57340	−	7.67113i	0.265100	−	0.364878i
$443$	−11.4755	+	10.3326i	−0.545219	+	0.490917i	−0.895093	−	0.445879i	$-0.852891\pi$
$443$	−11.4755	+	10.3326i	−0.545219	+	0.490917i	0.349874	+	0.936797i	$0.386224\pi$
$444$	−0.602890	+	24.9665i	−0.0286119	+	1.18486i
$445$	−14.7267	−	6.55675i	−0.698112	−	0.310820i
$446$	−25.3452	−	11.2844i	−1.20013	−	0.534331i
$447$	−0.141987	+	5.87987i	−0.00671575	+	0.278109i
$448$	1.64858	−	1.48439i	0.0778881	−	0.0701308i
$449$	−13.6969	+	18.8521i	−0.646395	+	0.889687i	−0.998936	−	0.0461094i	$-0.985318\pi$
$449$	−13.6969	+	18.8521i	−0.646395	+	0.889687i	0.352541	+	0.935796i	$0.385318\pi$
$450$	6.00673	−	2.33388i	0.283160	−	0.110020i
$451$	17.7139	−	28.0712i	0.834115	−	1.32182i
$452$	−8.41882	−	4.86061i	−0.395988	−	0.228624i
$453$	−13.2924	−	6.30697i	−0.624533	−	0.296327i
$454$	30.0159	−	6.38007i	1.40872	−	0.299432i
$455$	−0.896449	−	0.807167i	−0.0420262	−	0.0378406i
$456$	1.89672	+	0.451279i	0.0888221	+	0.0211331i
$457$	−0.614944	+	0.0646333i	−0.0287659	+	0.00302342i	−0.118900	−	0.992906i	$-0.537937\pi$
$457$	−0.614944	+	0.0646333i	−0.0287659	+	0.00302342i	0.0901346	+	0.995930i	$0.471270\pi$
$458$	−12.5249	−	38.5476i	−0.585249	−	1.80121i
$459$	−12.6282	+	3.11350i	−0.589436	+	0.145326i
$460$	16.2371	+	11.7969i	0.757058	+	0.550035i
$461$	−11.3787	+	19.7085i	−0.529959	+	0.917915i	0.469430	+	0.882969i	$0.344459\pi$
$461$	−11.3787	+	19.7085i	−0.529959	+	0.917915i	−0.999389	+	0.0349460i	$0.988874\pi$
$462$	0.600593	−	3.53717i	0.0279421	−	0.164564i
$463$	−3.54426	−	6.13884i	−0.164716	−	0.285296i	0.771839	−	0.635818i	$-0.219337\pi$
$463$	−3.54426	−	6.13884i	−0.164716	−	0.285296i	−0.936554	+	0.350523i	$0.886004\pi$
$464$	−3.94201	+	37.5057i	−0.183003	+	1.74116i
$465$	−0.146767	+	1.13263i	−0.00680615	+	0.0525243i
$466$	−5.04395	−	1.07212i	−0.233656	−	0.0496652i
$467$	3.50195	+	4.82002i	0.162051	+	0.223044i	0.882319	−	0.470652i	$-0.155981\pi$
$467$	3.50195	+	4.82002i	0.162051	+	0.223044i	−0.720268	+	0.693696i	$0.755981\pi$
$468$	0.523077	−	10.8244i	0.0241792	−	0.500356i
$469$	−3.26009	+	1.05927i	−0.150537	+	0.0489124i
$470$	−22.2198	−	24.6776i	−1.02492	−	1.13829i
$471$	18.2003	+	26.3664i	0.838626	+	1.21490i
$472$	1.61843	−	0.934402i	0.0744944	−	0.0430093i
$473$	29.3095	−	8.26430i	1.34765	−	0.379993i
$474$	−14.1354	+	40.1771i	−0.649262	+	1.84540i
$475$	2.07579	+	4.66231i	0.0952440	+	0.213921i
$476$	−1.41779	−	0.460669i	−0.0649844	−	0.0211147i
$477$	0.863037	+	5.30895i	0.0395158	+	0.243080i
$478$	−35.4780	+	25.7763i	−1.62273	+	1.17898i
$479$	0.184201	+	1.75255i	0.00841635	+	0.0800762i	0.997924	−	0.0644056i	$-0.0205151\pi$
$479$	0.184201	+	1.75255i	0.00841635	+	0.0800762i	−0.989507	+	0.144482i	$0.953848\pi$
$480$	12.8713	+	23.5912i	0.587491	+	1.07679i
$481$	−3.07101	−	14.4480i	−0.140026	−	0.658770i
$482$	48.1505	+	5.06082i	2.19319	+	0.230514i
$483$	2.25413	−	1.93316i	0.102566	−	0.0879619i
$484$	−15.7054	−	13.4168i	−0.713883	−	0.609857i
$485$			17.0908i			0.776052i
$486$	−20.9026	+	22.4809i	−0.948163	+	1.01975i
$487$	−5.37983	+	16.5574i	−0.243783	+	0.750288i	0.752051	+	0.659105i	$0.229065\pi$
$487$	−5.37983	+	16.5574i	−0.243783	+	0.750288i	−0.995834	+	0.0911829i	$0.970935\pi$
$488$	0.123670	−	0.581820i	0.00559827	−	0.0263378i
$489$	7.44164	−	31.2772i	0.336523	−	1.41440i
$490$	10.9260	−	24.5402i	0.493587	−	1.10861i
$491$	−22.4852	+	24.9723i	−1.01474	+	1.12698i	−0.0228695	+	0.999738i	$0.507280\pi$
$491$	−22.4852	+	24.9723i	−1.01474	+	1.12698i	−0.991871	+	0.127245i	$0.959386\pi$
$492$	−32.2812	−	4.18303i	−1.45535	−	0.188586i
$493$	20.3895	−	9.07799i	0.918297	−	0.408852i
$494$	17.7233			0.797407
$495$	18.1060	+	7.69297i	0.813804	+	0.345773i
$496$	1.41052			0.0633344
$497$	−3.44880	+	1.53550i	−0.154700	+	0.0688767i
$498$	−0.893625	+	1.16952i	−0.0400443	+	0.0524074i
$499$	13.0633	−	14.5082i	0.584791	−	0.649477i	−0.376042	−	0.926603i	$-0.622715\pi$
$499$	13.0633	−	14.5082i	0.584791	−	0.649477i	0.960834	+	0.277126i	$0.0893819\pi$
$500$	−9.19786	+	20.6587i	−0.411341	+	0.923886i
$501$	22.7274	−	6.78256i	1.01539	−	0.303022i
$502$	−5.11708	+	24.0740i	−0.228386	+	1.07447i
$503$	−7.43631	+	22.8866i	−0.331569	+	1.02046i	0.636819	+	0.771013i	$0.280250\pi$
$503$	−7.43631	+	22.8866i	−0.331569	+	1.02046i	−0.968388	+	0.249450i	$0.919750\pi$
$504$	0.220875	−	0.0601488i	0.00983857	−	0.00267924i
$505$			3.26932i			0.145483i
$506$	−5.97697	−	34.7960i	−0.265709	−	1.54687i
$507$	−2.96754	−	15.8314i	−0.131793	−	0.703097i
$508$	−7.05390	−	0.741395i	−0.312966	−	0.0328941i
$509$	−3.64390	−	17.1432i	−0.161513	−	0.759859i	−0.982103	−	0.188342i	$-0.939689\pi$
$509$	−3.64390	−	17.1432i	−0.161513	−	0.759859i	0.820590	−	0.571517i	$-0.193645\pi$
$510$	8.79044	−	14.4105i	0.389247	−	0.638107i
$511$	−0.00406015	−	0.0386298i	−0.000179611	−	0.00170888i
$512$	25.2051	−	18.3126i	1.11392	−	0.809309i
$513$	−18.5822	−	15.6753i	−0.820423	−	0.692083i
$514$	22.9693	+	7.46319i	1.01313	+	0.329187i
$515$	4.96458	+	11.1506i	0.218765	+	0.491355i
$516$	−19.4409	−	22.6688i	−0.855840	−	0.997937i
$517$	−1.11218	+	28.2653i	−0.0489136	+	1.24310i
$518$	−4.15309	+	2.39779i	−0.182476	+	0.105353i
$519$	−9.82222	+	20.7011i	−0.431148	+	0.908678i
$520$	−0.612308	−	0.680037i	−0.0268515	−	0.0298216i
$521$	7.32063	−	2.37862i	0.320723	−	0.104209i	−0.144231	−	0.989544i	$-0.546071\pi$
$521$	7.32063	−	2.37862i	0.320723	−	0.104209i	0.464954	+	0.885335i	$0.346071\pi$
$522$	28.5095	−	44.2947i	1.24783	−	1.93873i
$523$	−7.75187	−	10.6695i	−0.338966	−	0.466546i	0.605173	−	0.796094i	$-0.293104\pi$
$523$	−7.75187	−	10.6695i	−0.338966	−	0.466546i	−0.944139	+	0.329547i	$0.893104\pi$
$524$	16.3839	+	3.48251i	0.715734	+	0.152134i
$525$	0.476141	+	0.363818i	0.0207805	+	0.0158783i
$526$	−1.91234	+	18.1947i	−0.0833818	+	0.793325i
$527$	−0.417392	−	0.722944i	−0.0181819	−	0.0314919i
$528$	6.54869	−	23.3970i	0.284995	−	1.01822i
$529$	3.11086	−	5.38816i	0.135255	−	0.234268i
$530$	−5.64736	−	4.10305i	−0.245306	−	0.178225i
$531$	−23.2654	+	1.31433i	−1.00963	+	0.0570373i
$532$	−0.861054	−	2.65005i	−0.0373314	−	0.114894i
$533$	19.1468	−	2.01242i	0.829342	−	0.0871674i
$534$	19.1014	−	20.2110i	0.826599	−	0.874614i
$535$	−17.4176	−	15.6829i	−0.753030	−	0.678031i
$536$	−2.54351	+	0.540640i	−0.109863	+	0.0233521i
$537$	0.789595	+	9.77811i	0.0340736	+	0.421956i
$538$	36.5525	+	21.1036i	1.57589	+	0.909842i
$539$	−21.2542	+	8.47815i	−0.915484	+	0.365180i
$540$	−0.622833	−	19.2820i	−0.0268025	−	0.829766i
$541$	−8.36941	+	11.5195i	−0.359829	+	0.495262i	−0.950101	−	0.311942i	$-0.899021\pi$
$541$	−8.36941	+	11.5195i	−0.359829	+	0.495262i	0.590272	+	0.807204i	$0.299021\pi$
$542$	12.1222	−	10.9149i	0.520692	−	0.468834i
$543$	15.1740	+	9.25621i	0.651181	+	0.397222i
$544$	−17.9447	−	7.98948i	−0.769371	−	0.342546i
$545$	−5.96106	−	2.65404i	−0.255344	−	0.113686i
$546$	1.82676	−	0.996672i	0.0781781	−	0.0426536i
$547$	−28.1019	+	25.3030i	−1.20155	+	1.08188i	−0.206923	+	0.978357i	$0.566345\pi$
$547$	−28.1019	+	25.3030i	−1.20155	+	1.08188i	−0.994627	+	0.103523i	$0.966988\pi$
$548$	−5.32374	+	7.32750i	−0.227419	+	0.313015i
$549$	−4.64409	+	5.78298i	−0.198205	+	0.246811i
$550$	6.61731	−	2.63960i	0.282163	−	0.112553i
$551$	36.1284	+	20.8588i	1.53912	+	0.888613i
$552$	1.85388	−	1.27970i	0.0789063	−	0.0544678i
$553$	−3.87388	+	0.823419i	−0.164734	+	0.0350154i
$554$	−16.9004	−	15.2172i	−0.718028	−	0.646515i
$555$	−7.51951	−	25.1969i	−0.319185	−	1.06955i
$556$	−13.4431	+	1.41293i	−0.570116	+	0.0599216i
$557$	4.83577	+	14.8830i	0.204898	+	0.630612i	0.999718	+	0.0237660i	$0.00756565\pi$
$557$	4.83577	+	14.8830i	0.204898	+	0.630612i	−0.794819	+	0.606846i	$0.792434\pi$
$558$	−1.75911	−	0.887303i	−0.0744689	−	0.0375625i
$559$	14.2894	+	10.3819i	0.604378	+	0.439106i
$560$	−1.32608	+	2.29684i	−0.0560373	+	0.0970594i
$561$	−13.9296	+	3.56704i	−0.588110	+	0.150600i
$562$	1.27535	+	2.20896i	0.0537972	+	0.0931795i
$563$	1.68479	−	16.0297i	0.0710056	−	0.675573i	−0.899898	−	0.436101i	$-0.856359\pi$
$563$	1.68479	−	16.0297i	0.0710056	−	0.675573i	0.970903	−	0.239472i	$-0.0769743\pi$
$564$	25.6068	−	10.6678i	1.07824	−	0.449197i
$565$	10.0118	+	2.12808i	0.421201	+	0.0895289i
$566$	7.65428	+	10.5352i	0.321734	+	0.442828i
$567$	−2.79680	−	0.570704i	−0.117454	−	0.0239673i
$568$	−2.72364	+	0.884966i	−0.114282	+	0.0371323i
$569$	−16.2341	−	18.0298i	−0.680569	−	0.755848i	0.299589	−	0.954068i	$-0.403151\pi$
$569$	−16.2341	−	18.0298i	−0.680569	−	0.755848i	−0.980157	+	0.198220i	$0.936484\pi$
$570$	31.4487	−	2.53952i	1.31724	−	0.106369i
$571$	−14.5377	+	8.39334i	−0.608384	+	0.351250i	−0.772333	−	0.635218i	$-0.780910\pi$
$571$	−14.5377	+	8.39334i	−0.608384	+	0.351250i	0.163949	+	0.986469i	$0.447577\pi$
$572$	0.471053	−	11.9715i	0.0196957	−	0.500553i
$573$	−9.62130	+	1.80348i	−0.401936	+	0.0753414i
$574$	−2.54234	−	5.71020i	−0.106115	−	0.238339i
$575$	5.60807	+	1.82217i	0.233873	+	0.0759899i
$576$	−20.7118	+	3.36696i	−0.862991	+	0.140290i
$577$	5.58119	−	4.05497i	0.232348	−	0.168811i	−0.465519	−	0.885038i	$-0.654132\pi$
$577$	5.58119	−	4.05497i	0.232348	−	0.168811i	0.697867	+	0.716227i	$0.254132\pi$
$578$	−2.20960	−	21.0229i	−0.0919073	−	0.874439i
$579$	−31.1135	−	0.751328i	−1.29303	−	0.0312241i
$580$	6.88300	+	32.3820i	0.285801	+	1.34459i
$581$	−0.136113	−	0.0143061i	−0.00564692	−	0.000593515i
$582$	−27.8120	−	9.78505i	−1.15284	−	0.405603i
$583$	1.00667	+	5.86048i	0.0416919	+	0.242716i
$584$		−	0.0294655i		−	0.00121929i
$585$	2.99807	+	11.0094i	0.123955	+	0.455182i
$586$	−4.20349	+	12.9370i	−0.173644	+	0.534422i
$587$	−5.11090	+	24.0449i	−0.210949	+	0.992439i	0.737460	+	0.675391i	$0.236025\pi$
$587$	−5.11090	+	24.0449i	−0.210949	+	0.992439i	−0.948409	+	0.317048i	$0.897308\pi$
$588$	16.3090	+	15.4136i	0.672572	+	0.635648i
$589$	0.634643	−	1.42543i	0.0261500	−	0.0587338i
$590$	20.2361	−	22.4745i	0.833109	−	0.925261i
$591$	−1.67231	−	4.01416i	−0.0687895	−	0.165121i
$592$	−29.6675	+	13.2088i	−1.21933	+	0.542879i
$593$	25.3400			1.04059			0.520295	−	0.853987i	$-0.325822\pi$
$593$	25.3400			1.04059			0.520295	+	0.853987i	$0.325822\pi$
$594$	−22.8851	+	25.0596i	−0.938989	+	1.02821i
$595$	1.56962			0.0643481
$596$	5.82531	−	2.59359i	0.238614	−	0.106238i
$597$	8.14619	+	19.5539i	0.333401	+	0.800288i
$598$	13.7022	−	15.2178i	0.560325	−	0.622304i
$599$	8.83839	−	19.8513i	0.361127	−	0.811104i	−0.638029	−	0.770013i	$-0.720250\pi$
$599$	8.83839	−	19.8513i	0.361127	−	0.811104i	0.999155	−	0.0410913i	$-0.0130835\pi$
$600$	0.330368	+	0.312231i	0.0134872	+	0.0127468i
$601$	3.90498	−	18.3715i	0.159288	−	0.749389i	−0.823892	−	0.566747i	$-0.808202\pi$
$601$	3.90498	−	18.3715i	0.159288	−	0.749389i	0.983179	−	0.182642i	$-0.0584650\pi$
$602$	1.77206	−	5.45383i	0.0722236	−	0.222281i
$603$	31.3532	+	8.26432i	1.27680	+	0.336549i
$604$			15.9511i			0.649040i
$605$	20.0923	+	8.32523i	0.816869	+	0.338469i
$606$	−5.32020	−	1.87179i	−0.216118	−	0.0760365i
$607$	−47.7631	−	5.02011i	−1.93865	−	0.203760i	−0.945942	−	0.324336i	$-0.894859\pi$
$607$	−47.7631	−	5.02011i	−1.93865	−	0.203760i	−0.992704	+	0.120576i	$0.961526\pi$
$608$	−7.63354	−	35.9130i	−0.309581	−	1.45646i
$609$	4.89680	+	0.118248i	0.198428	+	0.00479164i
$610$	−1.00617	−	9.57309i	−0.0407387	−	0.387603i
$611$	−13.2734	+	9.64370i	−0.536985	+	0.390142i
$612$	8.91863	+	10.9223i	0.360514	+	0.441509i
$613$	1.96455	+	0.638321i	0.0793474	+	0.0257815i	0.348422	−	0.937338i	$-0.386718\pi$
$613$	1.96455	+	0.638321i	0.0793474	+	0.0257815i	−0.269074	+	0.963119i	$0.586718\pi$
$614$	9.25494	+	20.7869i	0.373499	+	0.838893i
$615$	33.6864	−	6.31440i	1.35837	−	0.254621i
$616$	0.243581	−	0.0686819i	0.00981418	−	0.00276727i
$617$	−29.9543	+	17.2941i	−1.20591	+	0.696235i	−0.961864	−	0.273527i	$-0.911810\pi$
$617$	−29.9543	+	17.2941i	−1.20591	+	0.696235i	−0.244050	+	0.969763i	$0.578476\pi$
$618$	−20.9879	+	1.69480i	−0.844258	+	0.0681750i
$619$	18.3552	+	20.3855i	0.737756	+	0.819362i	0.988899	−	0.148589i	$-0.0474730\pi$
$619$	18.3552	+	20.3855i	0.737756	+	0.819362i	−0.251143	+	0.967950i	$0.580806\pi$
$620$	1.17761	−	0.382630i	0.0472941	−	0.0153668i
$621$	−27.8257	+	3.83642i	−1.11661	+	0.153950i
$622$	−8.08033	−	11.1216i	−0.323992	−	0.445936i
$623$	2.52938	+	0.537636i	0.101337	+	0.0215399i
$624$	13.0084	−	5.41931i	0.520751	−	0.216946i
$625$	1.91872	−	18.2554i	0.0767489	−	0.730217i
$626$	−28.2373	−	48.9085i	−1.12859	−	1.95478i
$627$	−20.6978	−	17.1450i	−0.826590	−	0.684705i
$628$	17.3672	−	30.0809i	0.693028	−	1.20036i
$629$	15.5490	+	11.2970i	0.619979	+	0.450441i
$630$	3.09865	−	2.03028i	0.123453	−	0.0808882i
$631$	−8.09100	−	24.9015i	−0.322098	−	0.991315i	−0.972734	−	0.231925i	$-0.925498\pi$
$631$	−8.09100	−	24.9015i	−0.322098	−	0.991315i	0.650636	−	0.759390i	$-0.274502\pi$
$632$	−2.98788	+	0.314039i	−0.118851	+	0.0124918i
$633$	12.5164	+	41.9409i	0.497484	+	1.66700i
$634$	43.9114	+	39.5380i	1.74395	+	1.57026i
$635$	7.30478	−	1.55268i	0.289882	−	0.0616162i
$636$	4.79900	−	3.31267i	0.190293	−	0.131356i
$637$	−11.4941	−	6.63613i	−0.455413	−	0.262933i
$638$	31.0784	−	49.2501i	1.23041	−	1.94983i
$639$	35.2922	+	5.44246i	1.39614	+	0.215300i
$640$	−2.23267	+	3.07300i	−0.0882539	+	0.121471i
$641$	−4.54375	+	4.09121i	−0.179467	+	0.161593i	−0.753968	−	0.656911i	$-0.771863\pi$
$641$	−4.54375	+	4.09121i	−0.179467	+	0.161593i	0.574501	+	0.818504i	$0.305196\pi$
$642$	35.4932	−	19.3649i	1.40080	−	0.764273i
$643$	−0.747639	−	0.332870i	−0.0294840	−	0.0131271i	0.391942	−	0.919990i	$-0.371803\pi$
$643$	−0.747639	−	0.332870i	−0.0294840	−	0.0131271i	−0.421426	+	0.906863i	$0.638470\pi$
$644$	−2.94113	−	1.30948i	−0.115897	−	0.0516006i
$645$	26.8432	+	16.3744i	1.05695	+	0.644742i
$646$	−17.1380	+	15.4311i	−0.674284	+	0.607128i
$647$	−3.42533	+	4.71456i	−0.134664	+	0.185349i	−0.871023	−	0.491242i	$-0.836543\pi$
$647$	−3.42533	+	4.71456i	−0.134664	+	0.185349i	0.736360	+	0.676590i	$0.236543\pi$
$648$	−2.06474	−	0.652328i	−0.0811108	−	0.0256258i
$649$	−25.7068	+	1.68342i	−1.00908	+	0.0660800i
$650$	3.57859	+	2.06610i	0.140364	+	0.0810391i
$651$	−0.0147460	−	0.182610i	−0.000577942	−	0.00715706i
$652$	−34.0944	+	7.24699i	−1.33524	+	0.283814i
$653$	−1.93524	−	1.74250i	−0.0757318	−	0.0681892i	0.630396	−	0.776274i	$-0.282893\pi$
$653$	−1.93524	−	1.74250i	−0.0757318	−	0.0681892i	−0.706127	+	0.708085i	$0.749559\pi$
$654$	7.73185	−	8.18098i	0.302339	−	0.319902i
$655$	−17.5394	+	1.84347i	−0.685322	+	0.0720302i
$656$	−13.0802	−	40.2567i	−0.510696	−	1.57176i
$657$	−0.165466	+	0.328042i	−0.00645545	+	0.0127981i
$658$	4.30944	+	3.13099i	0.168000	+	0.122059i
$659$	11.2518	−	19.4886i	0.438306	−	0.759169i	−0.559253	−	0.828997i	$-0.688912\pi$
$659$	11.2518	−	19.4886i	0.438306	−	0.759169i	0.997559	+	0.0698283i	$0.0222451\pi$
$660$	−0.879514	−	21.3101i	−0.0342350	−	0.829493i
$661$	3.23287	+	5.59950i	0.125744	+	0.217795i	0.922024	−	0.387134i	$-0.126535\pi$
$661$	3.23287	+	5.59950i	0.125744	+	0.217795i	−0.796279	+	0.604929i	$0.793201\pi$
$662$	1.75647	−	16.7117i	0.0682673	−	0.649520i
$663$	−6.62693	−	5.06361i	−0.257369	−	0.196654i
$664$	−0.101554	−	0.0215859i	−0.00394105	−	0.000837697i
$665$	1.72447	+	2.37353i	0.0668720	+	0.0920414i
$666$	45.3083	+	2.18948i	1.75566	+	0.0848408i
$667$	45.8417	−	14.8949i	1.77500	−	0.576732i
$668$	−17.2061	−	19.1093i	−0.665723	−	0.739360i
$669$	−10.4606	+	22.0465i	−0.404430	+	0.852368i
$670$	−36.4429	+	21.0403i	−1.40791	+	0.812859i
$671$	−5.07675	+	6.43906i	−0.195986	+	0.248577i
$672$	−2.80637	−	3.27232i	−0.108258	−	0.126233i
$673$	0.144560	+	0.324687i	0.00557238	+	0.0125158i	0.916310	−	0.400469i	$-0.131153\pi$
$673$	0.144560	+	0.324687i	0.00557238	+	0.0125158i	−0.910738	+	0.412985i	$0.864486\pi$
$674$	22.3665	+	7.26731i	0.861524	+	0.279926i
$675$	−1.92466	−	5.33131i	−0.0740800	−	0.205202i
$676$	−14.1276	+	10.2643i	−0.543371	+	0.394782i
$677$	3.05705	+	29.0859i	0.117492	+	1.11786i	0.881346	+	0.472471i	$0.156638\pi$
$677$	3.05705	+	29.0859i	0.117492	+	1.11786i	−0.763854	+	0.645389i	$0.776695\pi$
$678$	−9.19516	+	15.0740i	−0.353138	+	0.578912i
$679$	−0.570000	−	2.68164i	−0.0218746	−	0.102912i
$680$	1.18417	+	0.124462i	0.0454110	+	0.00477289i
$681$	−4.97270	−	26.5286i	−0.190554	−	1.01658i
$682$	−1.95348	−	0.963488i	−0.0748025	−	0.0368939i
$683$		−	26.1630i		−	1.00110i	−0.865708	−	0.500549i	$-0.833132\pi$
$683$		−	26.1630i		−	1.00110i	0.865708	−	0.500549i	$-0.166868\pi$
$684$	−6.71788	+	25.4863i	−0.256865	+	0.974492i
$685$	2.94692	−	9.06969i	0.112596	−	0.346535i
$686$	−1.80487	+	8.49125i	−0.0689103	+	0.324197i
$687$	−34.1611	+	10.1947i	−1.30333	+	0.388952i
$688$	15.7950	−	35.4761i	0.602178	−	1.35251i
$689$	−2.30778	+	2.56305i	−0.0879195	+	0.0976445i
$690$	22.1331	−	28.9664i	0.842592	−	1.10273i
$691$	40.7691	−	18.1516i	1.55093	−	0.690518i	0.560451	−	0.828188i	$-0.310628\pi$
$691$	40.7691	−	18.1516i	1.55093	−	0.690518i	0.990478	+	0.137669i	$0.0439611\pi$
$692$	24.8415			0.944334
$693$	−3.09750	−	0.603211i	−0.117664	−	0.0229141i
$694$	−28.4370			−1.07945
$695$	13.0018	−	5.78879i	0.493187	−	0.219581i
$696$	3.68493	+	0.477498i	0.139677	+	0.0180995i
$697$	−16.7624	+	18.6165i	−0.634921	+	0.705151i
$698$	−25.8501	+	58.0602i	−0.978440	+	2.19761i
$699$	−1.04983	+	4.41241i	−0.0397080	+	0.166893i
$700$	0.135072	−	0.635463i	0.00510524	−	0.0240182i
$701$	3.87098	−	11.9137i	0.146205	−	0.449972i	−0.850959	−	0.525232i	$-0.823979\pi$
$701$	3.87098	−	11.9137i	0.146205	−	0.449972i	0.997164	+	0.0752595i	$0.0239785\pi$
$702$	−19.6322	−	1.42445i	−0.740969	−	0.0537622i
$703$			35.9241i			1.35490i
$704$	−22.8635	+	3.92730i	−0.861699	+	0.148016i
$705$	−22.1709	+	19.0140i	−0.835006	+	0.716109i
$706$	−12.6935	−	1.33414i	−0.477726	−	0.0502110i
$707$	−0.109036	−	0.512974i	−0.00410072	−	0.0192924i
$708$	12.1000	+	22.1775i	0.454744	+	0.833482i
$709$	1.17524	+	11.1817i	0.0441371	+	0.419937i	0.994173	+	0.107796i	$0.0343794\pi$
$709$	1.17524	+	11.1817i	0.0441371	+	0.419937i	−0.950036	+	0.312141i	$0.898954\pi$
$710$	−37.4934	+	27.2406i	−1.40710	+	1.02232i
$711$	35.0278	+	13.2825i	1.31365	+	0.498132i
$712$	1.86562	+	0.606176i	0.0699169	+	0.0227174i
$713$	−0.733272	−	1.64696i	−0.0274613	−	0.0616790i
$714$	−0.898661	+	2.55426i	−0.0336315	+	0.0955908i
$715$	3.42340	+	12.1411i	0.128028	+	0.454053i
$716$	9.21066	−	5.31778i	0.344219	−	0.198735i
$717$	21.9119	+	31.7434i	0.818316	+	1.18548i
$718$	−12.5917	−	13.9845i	−0.469918	−	0.521897i
$719$	−8.20360	+	2.66551i	−0.305942	+	0.0994067i	−0.457965	−	0.888970i	$-0.651421\pi$
$719$	−8.20360	+	2.66551i	−0.305942	+	0.0994067i	0.152022	+	0.988377i	$0.451421\pi$
$720$	22.3059	−	11.4801i	0.831293	−	0.427839i
$721$	−1.15086	−	1.58402i	−0.0428602	−	0.0589920i
$722$	−5.56547	−	1.18298i	−0.207125	−	0.0440259i
$723$	5.47241	−	42.2315i	0.203521	−	1.57061i
$724$	2.01430	−	19.1648i	0.0748607	−	0.712252i
$725$	4.86324	+	8.42338i	0.180616	+	0.312837i
$726$	−25.0513	+	27.9300i	−0.929740	+	1.03658i
$727$	23.7016	−	41.0524i	0.879044	−	1.52255i	0.0266533	−	0.999645i	$-0.491515\pi$
$727$	23.7016	−	41.0524i	0.879044	−	1.52255i	0.852391	−	0.522905i	$-0.175152\pi$
$728$	0.118755	+	0.0862803i	0.00440134	+	0.00319776i
$729$	19.3238	+	18.8572i	0.715695	+	0.698413i
$730$	−0.147350	−	0.453496i	−0.00545366	−	0.0167847i
$731$	−22.8567	+	2.40234i	−0.845385	+	0.0888536i
$732$	7.82275	+	1.86123i	0.289137	+	0.0687932i
$733$	11.5041	+	10.3583i	0.424913	+	0.382593i	0.853660	−	0.520831i	$-0.174378\pi$
$733$	11.5041	+	10.3583i	0.424913	+	0.382593i	−0.428747	+	0.903425i	$0.641045\pi$
$734$	−15.5435	+	3.30388i	−0.573722	+	0.121948i
$735$	−21.3464	−	10.1284i	−0.787373	−	0.373591i
$736$	−36.7379	−	21.2106i	−1.35418	−	0.781833i
$737$	34.7427	+	8.82565i	1.27976	+	0.325097i
$738$	−9.01112	+	58.4335i	−0.331704	+	2.15097i
$739$	25.0234	−	34.4418i	0.920502	−	1.26696i	−0.0429492	−	0.999077i	$-0.513675\pi$
$739$	25.0234	−	34.4418i	0.920502	−	1.26696i	0.963451	−	0.267885i	$-0.0863246\pi$
$740$	−21.1856	+	19.0756i	−0.778797	+	0.701232i
$741$	0.376325	−	15.5842i	0.0138247	−	0.572498i
$742$	1.02295	+	0.455445i	0.0375535	+	0.0167199i
$743$	−44.1108	−	19.6394i	−1.61827	−	0.720499i	−0.620308	−	0.784358i	$-0.712993\pi$
$743$	−44.1108	−	19.6394i	−1.61827	−	0.720499i	−0.997959	+	0.0638590i	$0.979659\pi$
$744$	0.00335503	−	0.138937i	0.000123002	−	0.00509366i
$745$	−4.98942	+	4.49249i	−0.182798	+	0.164592i
$746$	0.805983	−	1.10934i	0.0295091	−	0.0406159i
$747$	1.00939	+	0.810603i	0.0369317	+	0.0296584i
$748$	9.96770	+	11.9863i	0.364455	+	0.438261i
$749$	3.25597	+	1.87984i	0.118971	+	0.0686877i
$750$	37.1093	+	17.6075i	1.35504	+	0.642936i
$751$	−25.1708	+	5.35021i	−0.918494	+	0.195232i	−0.642818	−	0.766019i	$-0.722235\pi$
$751$	−25.1708	+	5.35021i	−0.918494	+	0.195232i	−0.275676	+	0.961251i	$0.588902\pi$
$752$	26.8070	+	24.1371i	0.977549	+	0.880189i
$753$	21.0597	+	5.01065i	0.767459	+	0.182598i
$754$	33.5925	−	3.53072i	1.22337	−	0.128581i
$755$	−5.18991	−	15.9729i	−0.188880	−	0.581314i
$756$	0.740807	+	3.00469i	0.0269429	+	0.109279i
$757$	−41.1683	−	29.9105i	−1.49629	−	1.08712i	−0.971832	−	0.235676i	$-0.924269\pi$
$757$	−41.1683	−	29.9105i	−1.49629	−	1.08712i	−0.524454	−	0.851439i	$-0.675731\pi$
$758$	−2.53162	+	4.38490i	−0.0919527	+	0.159267i
$759$	−30.7232	+	4.51675i	−1.11518	+	0.163948i
$760$	1.11279	+	1.92741i	0.0403651	+	0.0699144i
$761$	2.23110	−	21.2275i	0.0808772	−	0.769495i	−0.876645	−	0.481137i	$-0.840224\pi$
$761$	2.23110	−	21.2275i	0.0808772	−	0.769495i	0.957523	−	0.288358i	$-0.0931093\pi$
$762$	−1.65554	+	12.7761i	−0.0599740	+	0.462830i
$763$	1.02384	+	0.217624i	0.0370655	+	0.00787851i
$764$	6.23800	+	8.58587i	0.225683	+	0.310626i
$765$	−12.4846	−	8.03547i	−0.451381	−	0.290523i
$766$	11.6782	−	3.79447i	0.421950	−	0.137100i
$767$	−9.99825	−	11.1042i	−0.361016	−	0.400949i
$768$	−17.4870	−	25.3331i	−0.631009	−	0.914129i
$769$	18.7124	−	10.8036i	0.674786	−	0.389588i	−0.123102	−	0.992394i	$-0.539284\pi$
$769$	18.7124	−	10.8036i	0.674786	−	0.389588i	0.797888	+	0.602806i	$0.205951\pi$
$770$	3.40544	−	2.27516i	0.122723	−	0.0819910i
$771$	7.05014	−	20.0386i	0.253905	−	0.721672i
$772$	13.7241	+	30.8248i	0.493940	+	1.10941i
$773$	−9.33763	−	3.03398i	−0.335851	−	0.109125i	0.136236	−	0.990676i	$-0.456499\pi$
$773$	−9.33763	−	3.03398i	−0.335851	−	0.109125i	−0.472088	+	0.881552i	$0.656499\pi$
$774$	−42.0149	+	34.3073i	−1.51019	+	1.23315i
$775$	0.294314	−	0.213832i	0.0105721	−	0.00768106i
$776$	−0.217389	−	2.06832i	−0.00780380	−	0.0742482i
$777$	2.02020	+	3.70275i	0.0724744	+	0.132835i
$778$	11.2499	+	52.9264i	0.403327	+	1.89750i
$779$	−46.5673	−	4.89442i	−1.66845	−	0.175361i
$780$	9.39029	−	8.05320i	0.336226	−	0.288351i
$781$	39.0693	+	5.66708i	1.39801	+	0.202784i
$782$			26.6454i			0.952837i
$783$	−38.3433	−	26.0091i	−1.37028	−	0.929489i
$784$	−9.01729	+	27.7524i	−0.322046	+	0.991155i
$785$	−7.60374	+	35.7728i	−0.271389	+	1.27679i
$786$	7.04202	−	29.5976i	0.251181	−	1.05571i
$787$	−14.2836	+	32.0814i	−0.509154	+	1.14358i	0.457899	+	0.889004i	$0.348602\pi$
$787$	−14.2836	+	32.0814i	−0.509154	+	1.14358i	−0.967053	+	0.254574i	$0.918065\pi$
$788$	−3.15466	+	3.50360i	−0.112380	+	0.124811i
$789$	15.9581	+	2.06786i	0.568123	+	0.0736179i
$790$	−44.4152	+	19.7749i	−1.58022	+	0.703561i
$791$	−1.64189			−0.0583787
$792$	−2.28903	−	0.700697i	−0.0813371	−	0.0248982i
$793$	−4.75591			−0.168887
$794$	−13.4193	+	5.97468i	−0.476235	+	0.212033i
$795$	−3.72775	+	4.87864i	−0.132210	+	0.173027i
$796$	15.3671	−	17.0668i	0.544671	−	0.604918i
$797$	−19.8012	+	44.4743i	−0.701395	+	1.57536i	0.112040	+	0.993704i	$0.464262\pi$
$797$	−19.8012	+	44.4743i	−0.701395	+	1.57536i	−0.813435	+	0.581656i	$0.802405\pi$
$798$	−4.84978	+	1.44732i	−0.171680	+	0.0512346i
$799$	4.43860	−	20.8820i	0.157026	−	0.738752i
$800$	2.64525	−	8.14125i	0.0935238	−	0.287837i
$801$	−17.3660	−	17.2251i	−0.613599	−	0.608620i
$802$		−	4.90063i		−	0.173047i
$803$	−0.179673	+	0.364289i	−0.00634054	+	0.0128555i
$804$	−6.47649	−	34.5512i	−0.228408	−	1.21853i
$805$	3.37122	+	0.354329i	0.118820	+	0.0124885i
$806$	−0.262667	−	1.23575i	−0.00925204	−	0.0435274i
$807$	19.3327	−	31.6928i	0.680542	−	1.11564i
$808$	−0.0415846	−	0.395651i	−0.00146294	−	0.0139189i
$809$	1.95603	−	1.42114i	0.0687705	−	0.0499647i	−0.552869	−	0.833268i	$-0.686467\pi$
$809$	1.95603	−	1.42114i	0.0687705	−	0.0499647i	0.621639	+	0.783304i	$0.286467\pi$
$810$	−35.0401	+	0.285468i	−1.23118	+	0.0100303i
$811$	22.4513	+	7.29488i	0.788373	+	0.256158i	0.675411	−	0.737441i	$-0.263966\pi$
$811$	22.4513	+	7.29488i	0.788373	+	0.256158i	0.112962	+	0.993599i	$0.463966\pi$
$812$	−2.15996	−	4.85136i	−0.0757999	−	0.170249i
$813$	−9.34011	−	10.8909i	−0.327572	−	0.381959i
$814$	50.1099	+	1.97172i	1.75635	+	0.0691089i
$815$	31.7832	−	18.3500i	1.11332	−	0.642773i
$816$	−7.86035	+	16.5663i	−0.275167	+	0.579937i
$817$	−28.7443	−	31.9238i	−1.00564	−	1.11687i
$818$	−55.4693	+	18.0231i	−1.93944	+	0.630162i
$819$	−0.837591	−	1.62744i	−0.0292678	−	0.0568675i
$820$	−21.8407	−	30.0611i	−0.762710	−	1.04978i
$821$	−35.0071	−	7.44099i	−1.22176	−	0.259692i	−0.448498	−	0.893784i	$-0.648041\pi$
$821$	−35.0071	−	7.44099i	−1.22176	−	0.259692i	−0.773258	+	0.634092i	$0.781374\pi$
$822$	13.0720	+	9.98827i	0.455938	+	0.348381i
$823$	3.75180	−	35.6960i	0.130779	−	1.24428i	−0.710506	−	0.703691i	$-0.751534\pi$
$823$	3.75180	−	35.6960i	0.130779	−	1.24428i	0.841285	−	0.540591i	$-0.181800\pi$
$824$	−0.742643	−	1.28629i	−0.0258712	−	0.0448102i
$825$	−2.18050	−	5.87469i	−0.0759154	−	0.204530i
$826$	−2.42561	+	4.20128i	−0.0843978	+	0.146181i
$827$	−11.6799	−	8.48596i	−0.406151	−	0.295086i	0.365891	−	0.930658i	$-0.380764\pi$
$827$	−11.6799	−	8.48596i	−0.406151	−	0.295086i	−0.772042	+	0.635572i	$0.780764\pi$
$828$	16.6897	+	25.4722i	0.580008	+	0.885220i
$829$	−16.7616	−	51.5868i	−0.582153	−	1.79168i	−0.610415	−	0.792082i	$-0.708997\pi$
$829$	−16.7616	−	51.5868i	−0.582153	−	1.79168i	0.0282623	−	0.999601i	$-0.491003\pi$
$830$	−1.67094	+	0.175622i	−0.0579990	+	0.00609594i
$831$	−13.7394	+	14.5375i	−0.476614	+	0.504300i
$832$	−9.99922	−	9.00334i	−0.346661	−	0.312135i
$833$	16.8924	−	3.59059i	0.585287	−	0.124407i
$834$	1.97617	+	24.4723i	0.0684292	+	0.847407i
$835$	23.4471	+	13.5372i	0.811421	+	0.468474i
$836$	−7.17418	+	28.2416i	−0.248124	+	0.976754i
$837$	−0.817562	+	1.52795i	−0.0282591	+	0.0528138i
$838$	10.4702	−	14.4110i	0.361686	−	0.497819i
$839$	41.3232	−	37.2076i	1.42664	−	1.28455i	0.525649	−	0.850702i	$-0.323823\pi$
$839$	41.3232	−	37.2076i	1.42664	−	1.28455i	0.900987	−	0.433847i	$-0.142844\pi$
$840$	0.223085	+	0.136082i	0.00769716	+	0.00469529i
$841$	46.1401	+	20.5429i	1.59104	+	0.708375i
$842$	39.0984	+	17.4078i	1.34742	+	0.599911i
$843$	1.96943	−	1.07451i	0.0678309	−	0.0370083i
$844$	35.2640	−	31.7518i	1.21384	−	1.09294i
$845$	10.8073	−	14.8750i	0.371784	−	0.511717i
$846$	−18.2481	−	46.9652i	−0.627382	−	1.61470i
$847$	−3.43025	−	0.636170i	−0.117865	−	0.0218591i
$848$	6.56695	+	3.79143i	0.225510	+	0.130198i
$849$	9.42621	−	6.50676i	0.323507	−	0.223311i
$850$	−5.25930	+	1.11790i	−0.180392	+	0.0383436i
$851$	30.8458	+	27.7737i	1.05738	+	0.952069i
$852$	−11.0711	−	37.0979i	−0.379291	−	1.27095i
$853$	−16.0536	+	1.68730i	−0.549665	+	0.0577721i	−0.375290	−	0.926907i	$-0.622457\pi$
$853$	−16.0536	+	1.68730i	−0.549665	+	0.0577721i	−0.174374	+	0.984679i	$0.555790\pi$
$854$	0.477149	+	1.46851i	0.0163277	+	0.0502515i
$855$	−1.56525	−	27.7069i	−0.0535306	−	0.947558i
$856$	2.30735	+	1.67639i	0.0788637	+	0.0572979i
$857$	23.6770	−	41.0098i	0.808792	−	1.40087i	−0.104909	−	0.994482i	$-0.533455\pi$
$857$	23.6770	−	41.0098i	0.808792	−	1.40087i	0.913701	−	0.406387i	$-0.133211\pi$
$858$	−21.7174	−	1.38028i	−0.741421	−	0.0471219i
$859$	4.16516	+	7.21427i	0.142114	+	0.246148i	0.928292	−	0.371851i	$-0.121277\pi$
$859$	4.16516	+	7.21427i	0.142114	+	0.246148i	−0.786179	+	0.617999i	$0.787944\pi$
$860$	3.56333	−	33.9028i	0.121509	−	1.15608i
$861$	−5.07500	+	2.11425i	−0.172955	+	0.0720535i
$862$	33.8372	+	7.19232i	1.15250	+	0.244971i
$863$	3.57452	+	4.91990i	0.121678	+	0.167475i	0.865511	−	0.500890i	$-0.166994\pi$
$863$	3.57452	+	4.91990i	0.121678	+	0.167475i	−0.743833	+	0.668366i	$0.766994\pi$
$864$	5.56934	+	40.3946i	0.189473	+	1.37425i
$865$	−24.8756	+	8.08256i	−0.845795	+	0.274815i
$866$	20.6798	+	22.9673i	0.702730	+	0.780460i
$867$	−18.5325	+	1.49653i	−0.629397	+	0.0508247i
$868$	−0.172013	+	0.0993118i	−0.00583850	+	0.00337086i
$869$	38.8547	+	14.3368i	1.31806	+	0.486343i
$870$	59.1017	−	11.0784i	2.00374	−	0.375593i
$871$	8.45653	+	18.9937i	0.286539	+	0.643576i
$872$	0.755163	+	0.245367i	0.0255730	+	0.00830918i
$873$	−9.19460	+	24.2475i	−0.311190	+	0.820653i
$874$	−40.2922	+	29.2740i	−1.36290	+	0.990208i
$875$	0.399236	+	3.79848i	0.0134967	+	0.128412i
$876$	0.398217	+	0.00961612i	0.0134545	+	0.000324898i
$877$	2.58745	+	12.1730i	0.0873719	+	0.411053i	0.999997	+	0.00225604i	$0.000718120\pi$
$877$	2.58745	+	12.1730i	0.0873719	+	0.411053i	−0.912626	+	0.408797i	$0.865949\pi$
$878$	23.3561	+	2.45482i	0.788230	+	0.0828463i
$879$	11.2863	+	3.97085i	0.380678	+	0.133933i
$880$	24.5454	−	12.9122i	0.827427	−	0.435269i
$881$		−	59.2385i		−	1.99580i	−0.0647993	−	0.997898i	$-0.520641\pi$
$881$		−	59.2385i		−	1.99580i	0.0647993	−	0.997898i	$-0.479359\pi$
$882$	28.7036	−	28.9384i	0.966500	−	0.974406i
$883$	−13.1258	+	40.3970i	−0.441718	+	1.35947i	0.444325	+	0.895866i	$0.353444\pi$
$883$	−13.1258	+	40.3970i	−0.441718	+	1.35947i	−0.886043	+	0.463603i	$0.846556\pi$
$884$	−1.87993	+	8.84437i	−0.0632288	+	0.297468i
$885$	−19.3323	−	18.2710i	−0.649848	−	0.614172i
$886$	12.3682	−	27.7794i	0.415518	−	0.933268i
$887$	15.3978	−	17.1009i	0.517006	−	0.574193i	−0.426946	−	0.904277i	$-0.640410\pi$
$887$	15.3978	−	17.1009i	0.517006	−	0.574193i	0.943952	+	0.330084i	$0.107077\pi$
$888$	1.23050	+	2.95367i	0.0412930	+	0.0991185i
$889$	−1.09438	+	0.487249i	−0.0367043	+	0.0163418i
$890$	31.7446			1.06408
$891$	21.5491	+	20.6551i	0.721923	+	0.691974i
$892$	26.4561			0.885815
$893$	36.4535	−	16.2301i	1.21987	−	0.543121i
$894$	−4.45408	−	10.6914i	−0.148967	−	0.357576i
$895$	−7.49306	+	8.32188i	−0.250465	+	0.278170i
$896$	0.247829	−	0.556634i	0.00827939	−	0.0185958i
$897$	−13.0902	−	12.3716i	−0.437069	−	0.413074i
$898$	9.54060	−	44.8850i	0.318374	−	1.49783i
$899$	0.918932	−	2.82818i	0.0306481	−	0.0943251i
$900$	−4.32752	+	4.36292i	−0.144251	+	0.145431i
$901$		−	4.48773i		−	0.149508i
$902$	−9.38303	+	64.6873i	−0.312421	+	2.15385i
$903$	−4.75795	−	1.67398i	−0.158335	−	0.0557066i
$904$	−1.23869	−	0.130192i	−0.0411983	−	0.00433012i
$905$	4.21848	+	19.8464i	0.140227	+	0.659716i
$906$	28.9643	+	0.699429i	0.962275	+	0.0232370i
$907$	1.18005	+	11.2274i	0.0391829	+	0.372800i	0.996489	+	0.0837239i	$0.0266814\pi$
$907$	1.18005	+	11.2274i	0.0391829	+	0.372800i	−0.957306	+	0.289076i	$0.906652\pi$
$908$	−23.6736	+	17.1999i	−0.785637	+	0.570799i
$909$	−1.75885	+	4.63834i	−0.0583373	+	0.153844i
$910$	2.25919	+	0.734055i	0.0748914	+	0.0243337i
$911$	9.96223	+	22.3755i	0.330063	+	0.741335i	0.999999	−	0.00108422i	$-0.000345117\pi$
$911$	9.96223	+	22.3755i	0.330063	+	0.741335i	−0.669936	+	0.742419i	$0.733678\pi$
$912$	−33.6868	+	6.31448i	−1.11548	+	0.209093i
$913$	1.12391	+	0.886122i	0.0371959	+	0.0293263i
$914$	1.05450	−	0.608815i	0.0348797	−	0.0201378i
$915$	−8.43904	+	0.681464i	−0.278986	+	0.0225285i
$916$	25.8620	+	28.7227i	0.854505	+	0.949024i
$917$	2.69055	−	0.874214i	0.0888499	−	0.0288691i
$918$	20.2241	−	15.7157i	0.667494	−	0.518696i
$919$	20.6927	+	28.4811i	0.682590	+	0.939504i	0.999961	−	0.00879691i	$-0.00280018\pi$
$919$	20.6927	+	28.4811i	0.682590	+	0.939504i	−0.317371	+	0.948301i	$0.602800\pi$
$920$	2.51526	+	0.534636i	0.0829258	+	0.0176264i
$921$	18.4746	−	7.69655i	0.608759	−	0.253610i
$922$	4.68437	−	44.5688i	0.154271	−	1.46779i
$923$	11.4489	+	19.8301i	0.376845	+	0.652714i
$924$	0.848720	+	3.31434i	0.0279208	+	0.109034i
$925$	−4.18788	+	7.25361i	−0.137696	+	0.238497i
$926$	11.2929	+	8.20480i	0.371109	+	0.269626i
$927$	1.04461	+	18.4908i	0.0343093	+	0.607318i
$928$	−21.6229	−	66.5485i	−0.709807	−	2.18456i
$929$	18.0243	−	1.89443i	0.591359	−	0.0621543i	0.195877	−	0.980628i	$-0.437245\pi$
$929$	18.0243	−	1.89443i	0.591359	−	0.0621543i	0.395481	+	0.918474i	$0.370578\pi$
$930$	−0.643151	−	2.15512i	−0.0210898	−	0.0706690i
$931$	23.9884	+	21.5993i	0.786190	+	0.707888i
$932$	4.80985	−	1.02236i	0.157552	−	0.0334887i
$933$	−9.95088	+	6.86893i	−0.325777	+	0.224879i
$934$	−10.1605	−	5.86618i	−0.332462	−	0.191947i
$935$	−13.8813	−	8.75954i	−0.453966	−	0.286468i
$936$	−0.502860	−	1.29421i	−0.0164365	−	0.0423027i
$937$	−17.7777	+	24.4689i	−0.580772	+	0.799365i	−0.993780	−	0.111363i	$-0.964478\pi$
$937$	−17.7777	+	24.4689i	−0.580772	+	0.799365i	0.413007	+	0.910728i	$0.364478\pi$
$938$	5.01638	−	4.51677i	0.163791	−	0.147478i
$939$	−43.6051	+	23.7907i	−1.42300	+	0.776382i
$940$	28.9281	+	12.8796i	0.943531	+	0.420087i
$941$	23.9373	+	10.6576i	0.780333	+	0.347427i	0.757941	−	0.652323i	$-0.226205\pi$
$941$	23.9373	+	10.6576i	0.780333	+	0.347427i	0.0223916	+	0.999749i	$0.492872\pi$
$942$	−53.8601	−	32.8548i	−1.75486	−	1.07047i
$943$	−40.2047	+	36.2005i	−1.30924	+	1.17885i
$944$	−19.3099	+	26.5778i	−0.628484	+	0.865035i
$945$	−1.71944	−	2.76777i	−0.0559334	−	0.0900355i
$946$	−46.1076	+	38.3428i	−1.49909	+	1.24663i
$947$	−28.0006	−	16.1662i	−0.909897	−	0.525330i	−0.0294993	−	0.999565i	$-0.509391\pi$
$947$	−28.0006	−	16.1662i	−0.909897	−	0.525330i	−0.880398	+	0.474235i	$0.842725\pi$
$948$	−3.26903	−	40.4827i	−0.106173	−	1.31482i
$949$	−0.230445	+	0.0489827i	−0.00748057	+	0.00159004i
$950$	−7.46859	−	6.72475i	−0.242313	−	0.218180i
$951$	35.6984	−	37.7721i	1.15760	−	1.22484i
$952$	−0.189955	+	0.0199650i	−0.00615646	+	0.000647070i
$953$	10.9868	+	33.8138i	0.355897	+	1.09534i	0.955488	+	0.295031i	$0.0953299\pi$
$953$	10.9868	+	33.8138i	0.355897	+	1.09534i	−0.599591	+	0.800306i	$0.704670\pi$
$954$	−5.80480	−	8.85939i	−0.187937	−	0.286833i
$955$	−9.04008	−	6.56800i	−0.292530	−	0.212536i
$956$	20.9090	−	36.2154i	0.676244	−	1.17129i
$957$	−42.6460	−	28.3732i	−1.37855	−	0.917176i
$958$	−1.73509	−	3.00526i	−0.0560581	−	0.0970954i
$959$	−0.159902	+	1.52137i	−0.00516352	+	0.0491276i
$960$	−19.0330	−	14.5430i	−0.614287	−	0.469375i
$961$	30.2138	+	6.42214i	0.974638	+	0.207166i
$962$	17.0968	+	23.5317i	0.551223	+	0.758693i
$963$	−16.2741	−	31.6205i	−0.524424	−	1.01896i
$964$	−43.9090	+	14.2669i	−1.41421	+	0.459506i
$965$	−23.7722	−	26.4017i	−0.765253	−	0.849900i
$966$	−2.50674	+	5.28316i	−0.0806531	+	0.169983i
$967$	−37.9734	+	21.9240i	−1.22114	+	0.705027i	−0.965161	−	0.261655i	$-0.915732\pi$
$967$	−37.9734	+	21.9240i	−1.22114	+	0.705027i	−0.255981	+	0.966682i	$0.582398\pi$
$968$	−2.53745	−	0.751947i	−0.0815569	−	0.0241685i
$969$	13.2048	+	15.3972i	0.424198	+	0.494628i
$970$	−13.6889	−	30.7458i	−0.439524	−	0.987188i
$971$	−24.4501	−	7.94432i	−0.784641	−	0.254945i	−0.110820	−	0.993840i	$-0.535348\pi$
$971$	−24.4501	−	7.94432i	−0.784641	−	0.254945i	−0.673820	+	0.738895i	$0.735348\pi$
$972$	9.48982	−	27.6914i	0.304386	−	0.888203i
$973$	−1.84700	+	1.34192i	−0.0592120	+	0.0430200i
$974$	−3.58356	−	34.0953i	−0.114825	−	1.09248i
$975$	1.89272	−	3.10280i	0.0606155	−	0.0993692i
$976$	2.17401	+	10.2279i	0.0695884	+	0.327388i
$977$	16.5029	+	1.73452i	0.527974	+	0.0554923i	0.364766	−	0.931099i	$-0.381149\pi$
$977$	16.5029	+	1.73452i	0.527974	+	0.0554923i	0.163208	+	0.986592i	$0.447816\pi$
$978$	11.6643	+	62.2271i	0.372982	+	1.98980i
$979$	−19.3687	−	18.8703i	−0.619027	−	0.603099i
$980$			25.6159i			0.818269i
$981$	−7.02941	−	6.97238i	−0.224432	−	0.222611i
$982$	20.4485	−	62.9340i	0.652538	−	2.00830i
$983$	8.71340	−	40.9933i	0.277914	−	1.30748i	−0.588637	−	0.808397i	$-0.700335\pi$
$983$	8.71340	−	40.9933i	0.277914	−	1.30748i	0.866552	−	0.499087i	$-0.166331\pi$
$984$	−3.99639	+	1.19264i	−0.127400	+	0.0380201i
$985$	2.01903	−	4.53481i	0.0643316	−	0.144491i
$986$	−29.4091	+	32.6621i	−0.936576	+	1.04017i
$987$	2.84460	−	3.72284i	0.0905448	−	0.118499i
$988$	−15.4395	+	6.87412i	−0.491197	+	0.218695i
$989$	−49.6337			−1.57826
$990$	−38.7339	+	0.662630i	−1.23104	+	0.0210598i
$991$	−21.9883			−0.698482			−0.349241	−	0.937033i	$-0.613561\pi$
$991$	−21.9883			−0.698482			−0.349241	+	0.937033i	$0.613561\pi$
$992$	−2.39089	+	1.06449i	−0.0759108	+	0.0337977i
$993$	−14.6574	−	1.89932i	−0.465139	−	0.0602732i
$994$	4.97442	−	5.52465i	0.157779	−	0.175231i
$995$	−9.83515	+	22.0901i	−0.311795	+	0.700303i
$996$	0.324869	−	1.36542i	0.0102939	−	0.0432650i
$997$	−9.83942	+	46.2909i	−0.311618	+	1.46605i	0.491841	+	0.870685i	$0.336324\pi$
$997$	−9.83942	+	46.2909i	−0.311618	+	1.46605i	−0.803458	+	0.595361i	$0.797009\pi$
$998$	−11.8800	+	36.5629i	−0.376055	+	1.15738i
$999$	2.88728	−	39.7934i	0.0913494	−	1.25901i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.p.a.29.2	✓	80
3.2	odd	2		297.2.t.a.62.9		80
9.2	odd	6		891.2.k.a.161.4		80
9.4	even	3		297.2.t.a.260.9		80
9.5	odd	6	inner	99.2.p.a.95.2	yes	80
9.7	even	3		891.2.k.a.161.17		80
11.8	odd	10	inner	99.2.p.a.74.2	yes	80
33.8	even	10		297.2.t.a.8.9		80
99.41	even	30	inner	99.2.p.a.41.2	yes	80
99.52	odd	30		891.2.k.a.404.4		80
99.74	even	30		891.2.k.a.404.17		80
99.85	odd	30		297.2.t.a.206.9		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.p.a.29.2	✓	80	1.1	even	1	trivial
99.2.p.a.41.2	yes	80	99.41	even	30	inner
99.2.p.a.74.2	yes	80	11.8	odd	10	inner
99.2.p.a.95.2	yes	80	9.5	odd	6	inner
297.2.t.a.8.9		80	33.8	even	10
297.2.t.a.62.9		80	3.2	odd	2
297.2.t.a.206.9		80	99.85	odd	30
297.2.t.a.260.9		80	9.4	even	3
891.2.k.a.161.4		80	9.2	odd	6
891.2.k.a.161.17		80	9.7	even	3
891.2.k.a.404.4		80	99.52	odd	30
891.2.k.a.404.17		80	99.74	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 $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-1.79897 + 0.800953i) q^{2} +(0.666085 + 1.59885i) q^{3} +(1.25651 - 1.39549i) q^{4} +(-0.804185 + 1.80623i) q^{5} +(-2.47887 - 2.34279i) q^{6} +(0.0659410 - 0.310228i) q^{7} +(0.0743474 - 0.228818i) q^{8} +(-2.11266 + 2.12994i) q^{9} -3.89347i q^{10} +(-2.31445 + 2.37557i) q^{11} +(3.06813 + 1.07946i) q^{12} +(-1.91314 - 0.201079i) q^{13} +(0.129852 + 0.610907i) q^{14} +(-3.42355 - 0.0826717i) q^{15} +(0.442095 + 4.20626i) q^{16} +(2.02504 - 1.47127i) q^{17} +(2.09463 - 5.52385i) q^{18} +(4.44962 + 1.44577i) q^{19} +(1.51012 + 3.39178i) q^{20} +(0.539932 - 0.101208i) q^{21} +(2.26090 - 6.12735i) q^{22} +(4.68148 - 2.70286i) q^{23} +(0.415368 - 0.0335415i) q^{24} +(0.729903 + 0.810640i) q^{25} +(3.60274 - 1.17060i) q^{26} +(-4.81268 - 1.95911i) q^{27} +(-0.350066 - 0.481825i) q^{28} +(8.72180 + 1.85388i) q^{29} +(6.22508 - 2.59338i) q^{30} +(0.0348605 - 0.331676i) q^{31} +(-3.92374 - 6.79612i) q^{32} +(-5.33981 - 2.11813i) q^{33} +(-2.46456 + 4.26874i) q^{34} +(0.507314 + 0.368585i) q^{35} +(0.317746 + 5.62450i) q^{36} +(2.37275 + 7.30257i) q^{37} +(-9.16273 + 0.963042i) q^{38} +(-0.952818 - 3.19277i) q^{39} +(0.353508 + 0.318300i) q^{40} +(-9.78937 + 2.08079i) q^{41} +(-0.890258 + 0.614531i) q^{42} +(-7.95160 - 4.59086i) q^{43} +(0.406974 + 6.21472i) q^{44} +(-2.14820 - 5.52882i) q^{45} +(-6.25699 + 8.61201i) q^{46} +(6.33820 - 5.70694i) q^{47} +(-6.43071 + 3.50857i) q^{48} +(6.30292 + 2.80624i) q^{49} +(-1.96236 - 0.873699i) q^{50} +(3.70120 + 2.25774i) q^{51} +(-2.68448 + 2.41712i) q^{52} +(1.05383 - 1.45047i) q^{53} +(10.2270 - 0.330345i) q^{54} +(-2.42958 - 6.09082i) q^{55} +(-0.0660832 - 0.0381531i) q^{56} +(0.652252 + 8.07729i) q^{57} +(-17.1751 + 3.65069i) q^{58} +(5.77236 + 5.19746i) q^{59} +(-4.41709 + 4.67367i) q^{60} +(2.45876 - 0.258426i) q^{61} +(0.202944 + 0.624596i) q^{62} +(0.521457 + 0.795858i) q^{63} +(5.65871 + 4.11130i) q^{64} +(1.90171 - 3.29387i) q^{65} +(11.3027 - 0.466487i) q^{66} +(-5.40401 - 9.36002i) q^{67} +(0.491320 - 4.67459i) q^{68} +(7.43973 + 5.68467i) q^{69} +(-1.20786 - 0.256739i) q^{70} +(-6.99647 - 9.62982i) q^{71} +(0.330298 + 0.641770i) q^{72} +(0.116476 - 0.0378454i) q^{73} +(-10.1175 - 11.2367i) q^{74} +(-0.809916 + 1.70696i) q^{75} +(7.60855 - 4.39280i) q^{76} +(0.584352 + 0.874654i) q^{77} +(4.27135 + 4.98053i) q^{78} +(-5.07900 - 11.4076i) q^{79} +(-7.95299 - 2.58408i) q^{80} +(-0.0733198 - 8.99970i) q^{81} +(15.9442 - 11.5841i) q^{82} +(-0.0451069 - 0.429164i) q^{83} +(0.537193 - 0.880641i) q^{84} +(1.02896 + 4.84085i) q^{85} +(17.9818 + 1.88996i) q^{86} +(2.84538 + 15.1797i) q^{87} +(0.371500 + 0.706204i) q^{88} +8.15328i q^{89} +(8.29287 + 8.22558i) q^{90} +(-0.188535 + 0.580251i) q^{91} +(2.11051 - 9.92915i) q^{92} +(0.553521 - 0.165187i) q^{93} +(-6.83124 + 15.3432i) q^{94} +(-6.18971 + 6.87437i) q^{95} +(8.25245 - 10.8003i) q^{96} +(7.89676 - 3.51587i) q^{97} -13.5864 q^{98} +(-0.170190 - 9.94842i) 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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