LMFDB - Embedded newform 966.2.s.a.727.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(97,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 1]))

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

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

chi := DirichletCharacter("966.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.s (of order $22$, degree $10$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$16$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			727.5
Character	$\chi$	$=$	966.727
Dual form			966.2.s.a.97.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.959493 + 0.281733i) q^{2} +(-0.755750 + 0.654861i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.0416256 + 0.289512i) q^{5} +(0.540641 - 0.841254i) q^{6} +(-0.445694 - 2.60794i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.142315 - 0.989821i) q^{9} +O(q^{10})$	\(q+(-0.959493 + 0.281733i) q^{2} +(-0.755750 + 0.654861i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.0416256 + 0.289512i) q^{5} +(0.540641 - 0.841254i) q^{6} +(-0.445694 - 2.60794i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.142315 - 0.989821i) q^{9} +(-0.121504 - 0.266058i) q^{10} +(-0.513628 + 1.74926i) q^{11} +(-0.281733 + 0.959493i) q^{12} +(-2.34999 + 1.07320i) q^{13} +(1.16238 + 2.37673i) q^{14} +(-0.221049 - 0.191540i) q^{15} +(0.415415 - 0.909632i) q^{16} +(0.948993 + 0.609881i) q^{17} +(0.142315 + 0.989821i) q^{18} +(-2.71507 + 1.74487i) q^{19} +(0.191540 + 0.221049i) q^{20} +(2.04467 + 1.67908i) q^{21} -1.82310i q^{22} +(4.54715 + 1.52428i) q^{23} -1.00000i q^{24} +(4.71538 - 1.38456i) q^{25} +(1.95244 - 1.69180i) q^{26} +(0.540641 + 0.841254i) q^{27} +(-1.78490 - 1.95298i) q^{28} +(3.78361 + 2.43158i) q^{29} +(0.266058 + 0.121504i) q^{30} +(-2.26832 - 1.96551i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(-0.757345 - 1.65835i) q^{33} +(-1.08238 - 0.317814i) q^{34} +(0.736478 - 0.237591i) q^{35} +(-0.415415 - 0.909632i) q^{36} +(4.55467 + 0.654863i) q^{37} +(2.11351 - 2.43912i) q^{38} +(1.07320 - 2.34999i) q^{39} +(-0.246058 - 0.158132i) q^{40} +(2.18956 - 0.314812i) q^{41} +(-2.43490 - 1.03502i) q^{42} +(3.03177 - 2.62705i) q^{43} +(0.513628 + 1.74926i) q^{44} +0.292489 q^{45} +(-4.79240 - 0.181459i) q^{46} +9.34327i q^{47} +(0.281733 + 0.959493i) q^{48} +(-6.60271 + 2.32469i) q^{49} +(-4.13430 + 2.65695i) q^{50} +(-1.11659 + 0.160541i) q^{51} +(-1.39672 + 2.17334i) q^{52} +(10.4199 + 4.75862i) q^{53} +(-0.755750 - 0.654861i) q^{54} +(-0.527811 - 0.0758877i) q^{55} +(2.26282 + 1.37100i) q^{56} +(0.909268 - 3.09668i) q^{57} +(-4.31540 - 1.26712i) q^{58} +(11.1766 - 5.10418i) q^{59} +(-0.289512 - 0.0416256i) q^{60} +(-6.30483 + 7.27616i) q^{61} +(2.73018 + 1.24683i) q^{62} +(-2.64482 + 0.0700092i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(-0.408525 - 0.635678i) q^{65} +(1.19388 + 1.37781i) q^{66} +(2.51321 + 8.55921i) q^{67} +1.12807 q^{68} +(-4.43470 + 1.82577i) q^{69} +(-0.639708 + 0.435457i) q^{70} +(-12.9475 + 3.80174i) q^{71} +(0.654861 + 0.755750i) q^{72} +(3.01076 + 4.68483i) q^{73} +(-4.55467 + 0.654863i) q^{74} +(-2.65695 + 4.13430i) q^{75} +(-1.34072 + 2.93576i) q^{76} +(4.79088 + 0.559877i) q^{77} +(-0.367663 + 2.55716i) q^{78} +(6.36288 - 2.90583i) q^{79} +(0.280641 + 0.0824037i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-2.01218 + 0.918931i) q^{82} +(-1.09286 + 7.60102i) q^{83} +(2.62787 + 0.307101i) q^{84} +(-0.137065 + 0.300132i) q^{85} +(-2.16884 + 3.37478i) q^{86} +(-4.45181 + 0.640073i) q^{87} +(-0.985644 - 1.53369i) q^{88} +(-6.28806 - 7.25681i) q^{89} +(-0.280641 + 0.0824037i) q^{90} +(3.84623 + 5.65031i) q^{91} +(4.64939 - 1.17607i) q^{92} +3.00142 q^{93} +(-2.63230 - 8.96480i) q^{94} +(-0.618178 - 0.713415i) q^{95} +(-0.540641 - 0.841254i) q^{96} +(1.34152 + 9.33048i) q^{97} +(5.68032 - 4.09072i) q^{98} +(1.65835 + 0.757345i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9}+O(q^{10}) $ 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9	$ 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9} - 22 q^{14} - 16 q^{16} + 16 q^{18} - 36 q^{23} + 96 q^{25} + 22 q^{28} - 20 q^{29} - 16 q^{32} - 50 q^{35} + 16 q^{36} + 22 q^{37} + 4 q^{39} - 110 q^{43} + 8 q^{46} - 36 q^{50} + 22 q^{51} - 88 q^{53} + 22 q^{57} + 24 q^{58} - 16 q^{64} - 72 q^{70} + 48 q^{71} + 16 q^{72} - 22 q^{74} + 24 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} + 22 q^{84} + 76 q^{85} + 44 q^{86} - 44 q^{88} + 8 q^{92} - 14 q^{95} + 22 q^{98} - 22 q^{99}+O(q^{100}) $ 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9 - 22 * q^14 - 16 * q^16 + 16 * q^18 - 36 * q^23 + 96 * q^25 + 22 * q^28 - 20 * q^29 - 16 * q^32 - 50 * q^35 + 16 * q^36 + 22 * q^37 + 4 * q^39 - 110 * q^43 + 8 * q^46 - 36 * q^50 + 22 * q^51 - 88 * q^53 + 22 * q^57 + 24 * q^58 - 16 * q^64 - 72 * q^70 + 48 * q^71 + 16 * q^72 - 22 * q^74 + 24 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 + 22 * q^84 + 76 * q^85 + 44 * q^86 - 44 * q^88 + 8 * q^92 - 14 * q^95 + 22 * q^98 - 22 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$-1$	$e\left(\frac{21}{22}\right)$

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 $

$2$	−0.959493	+	0.281733i	−0.678464	+	0.199215i
$2$	−0.959493	+	0.281733i	−0.678464	+	0.199215i
$3$	−0.755750	+	0.654861i	−0.436332	+	0.378084i
$3$	−0.755750	+	0.654861i	−0.436332	+	0.378084i
$4$	0.841254	−	0.540641i	0.420627	−	0.270320i
$5$	0.0416256	+	0.289512i	0.0186155	+	0.129474i	0.997010	−	0.0772733i	$-0.0246214\pi$
$5$	0.0416256	+	0.289512i	0.0186155	+	0.129474i	−0.978394	+	0.206747i	$0.933712\pi$
$6$	0.540641	−	0.841254i	0.220716	−	0.343440i
$7$	−0.445694	−	2.60794i	−0.168457	−	0.985709i
$7$	−0.445694	−	2.60794i	−0.168457	−	0.985709i
$8$	−0.654861	+	0.755750i	−0.231528	+	0.267198i
$9$	0.142315	−	0.989821i	0.0474383	−	0.329940i
$10$	−0.121504	−	0.266058i	−0.0384231	−	0.0841348i
$11$	−0.513628	+	1.74926i	−0.154865	+	0.527420i	−0.999974	−	0.00717260i	$-0.997717\pi$
$11$	−0.513628	+	1.74926i	−0.154865	+	0.527420i	0.845110	+	0.534593i	$0.179535\pi$
$12$	−0.281733	+	0.959493i	−0.0813292	+	0.276982i
$13$	−2.34999	+	1.07320i	−0.651770	+	0.297653i	−0.713725	−	0.700426i	$-0.752994\pi$
$13$	−2.34999	+	1.07320i	−0.651770	+	0.297653i	0.0619555	+	0.998079i	$0.480266\pi$
$14$	1.16238	+	2.37673i	0.310660	+	0.635209i
$15$	−0.221049	−	0.191540i	−0.0570745	−	0.0494553i
$16$	0.415415	−	0.909632i	0.103854	−	0.227408i
$17$	0.948993	+	0.609881i	0.230165	+	0.147918i	0.650640	−	0.759386i	$-0.274501\pi$
$17$	0.948993	+	0.609881i	0.230165	+	0.147918i	−0.420476	+	0.907304i	$0.638137\pi$
$18$	0.142315	+	0.989821i	0.0335439	+	0.233303i
$19$	−2.71507	+	1.74487i	−0.622881	+	0.400301i	−0.813668	−	0.581330i	$-0.802532\pi$
$19$	−2.71507	+	1.74487i	−0.622881	+	0.400301i	0.190787	+	0.981631i	$0.438896\pi$
$20$	0.191540	+	0.221049i	0.0428296	+	0.0494280i
$21$	2.04467	+	1.67908i	0.446184	+	0.366406i
$22$		−	1.82310i		−	0.388687i
$23$	4.54715	+	1.52428i	0.948146	+	0.317835i
$23$	4.54715	+	1.52428i	0.948146	+	0.317835i
$24$		−	1.00000i		−	0.204124i
$25$	4.71538	−	1.38456i	0.943076	−	0.276912i
$26$	1.95244	−	1.69180i	0.382905	−	0.331789i
$27$	0.540641	+	0.841254i	0.104046	+	0.161899i
$28$	−1.78490	−	1.95298i	−0.337315	−	0.369078i
$29$	3.78361	+	2.43158i	0.702599	+	0.451533i	0.842545	−	0.538626i	$-0.181057\pi$
$29$	3.78361	+	2.43158i	0.702599	+	0.451533i	−0.139946	+	0.990159i	$0.544693\pi$
$30$	0.266058	+	0.121504i	0.0485752	+	0.0221836i
$31$	−2.26832	−	1.96551i	−0.407402	−	0.353016i	0.426924	−	0.904288i	$-0.359597\pi$
$31$	−2.26832	−	1.96551i	−0.407402	−	0.353016i	−0.834326	+	0.551272i	$0.814143\pi$
$32$	−0.142315	+	0.989821i	−0.0251579	+	0.174977i
$33$	−0.757345	−	1.65835i	−0.131837	−	0.288682i
$34$	−1.08238	−	0.317814i	−0.185626	−	0.0545047i
$35$	0.736478	−	0.237591i	0.124488	−	0.0401602i
$36$	−0.415415	−	0.909632i	−0.0692358	−	0.151605i
$37$	4.55467	+	0.654863i	0.748784	+	0.107659i	0.506134	−	0.862455i	$-0.331074\pi$
$37$	4.55467	+	0.654863i	0.748784	+	0.107659i	0.242650	+	0.970114i	$0.421983\pi$
$38$	2.11351	−	2.43912i	0.342856	−	0.395677i
$39$	1.07320	−	2.34999i	0.171850	−	0.376300i
$40$	−0.246058	−	0.158132i	−0.0389051	−	0.0250028i
$41$	2.18956	−	0.314812i	0.341952	−	0.0491653i	0.0308006	−	0.999526i	$-0.490194\pi$
$41$	2.18956	−	0.314812i	0.341952	−	0.0491653i	0.311152	+	0.950360i	$0.399285\pi$
$42$	−2.43490	−	1.03502i	−0.375713	−	0.159707i
$43$	3.03177	−	2.62705i	0.462341	−	0.400621i	−0.392302	−	0.919836i	$-0.628321\pi$
$43$	3.03177	−	2.62705i	0.462341	−	0.400621i	0.854643	+	0.519215i	$0.173776\pi$
$44$	0.513628	+	1.74926i	0.0774323	+	0.263710i
$45$	0.292489			0.0436017
$46$	−4.79240	−	0.181459i	−0.706600	−	0.0267547i
$47$			9.34327i			1.36286i	0.731885	+	0.681428i	$0.238641\pi$
$47$			9.34327i			1.36286i	−0.731885	+	0.681428i	$0.761359\pi$
$48$	0.281733	+	0.959493i	0.0406646	+	0.138491i
$49$	−6.60271	+	2.32469i	−0.943245	+	0.332099i
$50$	−4.13430	+	2.65695i	−0.584678	+	0.375750i
$51$	−1.11659	+	0.160541i	−0.156354	+	0.0224803i
$52$	−1.39672	+	2.17334i	−0.193690	+	0.301388i
$53$	10.4199	+	4.75862i	1.43129	+	0.653647i	0.972073	−	0.234679i	$-0.0754040\pi$
$53$	10.4199	+	4.75862i	1.43129	+	0.653647i	0.459213	+	0.888326i	$0.348131\pi$
$54$	−0.755750	−	0.654861i	−0.102844	−	0.0891153i
$55$	−0.527811	−	0.0758877i	−0.0711700	−	0.0102327i
$56$	2.26282	+	1.37100i	0.302382	+	0.183208i
$57$	0.909268	−	3.09668i	0.120435	−	0.410165i
$58$	−4.31540	−	1.26712i	−0.566640	−	0.166381i
$59$	11.1766	−	5.10418i	1.45507	−	0.664507i	0.478180	−	0.878262i	$-0.341296\pi$
$59$	11.1766	−	5.10418i	1.45507	−	0.664507i	0.976887	+	0.213754i	$0.0685692\pi$
$60$	−0.289512	−	0.0416256i	−0.0373758	−	0.00537384i
$61$	−6.30483	+	7.27616i	−0.807250	+	0.931616i	−0.998755	−	0.0498752i	$-0.984118\pi$
$61$	−6.30483	+	7.27616i	−0.807250	+	0.931616i	0.191505	+	0.981492i	$0.438663\pi$
$62$	2.73018	+	1.24683i	0.346734	+	0.158348i
$63$	−2.64482	+	0.0700092i	−0.333217	+	0.00882033i
$64$	−0.142315	−	0.989821i	−0.0177894	−	0.123728i
$65$	−0.408525	−	0.635678i	−0.0506713	−	0.0788461i
$66$	1.19388	+	1.37781i	0.146956	+	0.169597i
$67$	2.51321	+	8.55921i	0.307038	+	1.04567i	0.958049	+	0.286606i	$0.0925269\pi$
$67$	2.51321	+	8.55921i	0.307038	+	1.04567i	−0.651011	+	0.759068i	$0.725655\pi$
$68$	1.12807			0.136799
$69$	−4.43470	+	1.82577i	−0.533875	+	0.219797i
$70$	−0.639708	+	0.435457i	−0.0764598	+	0.0520470i
$71$	−12.9475	+	3.80174i	−1.53659	+	0.451183i	−0.937060	−	0.349169i	$-0.886464\pi$
$71$	−12.9475	+	3.80174i	−1.53659	+	0.451183i	−0.599530	+	0.800353i	$0.704646\pi$
$72$	0.654861	+	0.755750i	0.0771761	+	0.0890659i
$73$	3.01076	+	4.68483i	0.352382	+	0.548318i	0.971518	−	0.236966i	$-0.0761532\pi$
$73$	3.01076	+	4.68483i	0.352382	+	0.548318i	−0.619135	+	0.785284i	$0.712517\pi$
$74$	−4.55467	+	0.654863i	−0.529470	+	0.0761263i
$75$	−2.65695	+	4.13430i	−0.306798	+	0.477388i
$76$	−1.34072	+	2.93576i	−0.153791	+	0.336755i
$77$	4.79088	+	0.559877i	0.545971	+	0.0638039i
$78$	−0.367663	+	2.55716i	−0.0416297	+	0.289541i
$79$	6.36288	−	2.90583i	0.715880	−	0.326931i	−0.0239615	−	0.999713i	$-0.507628\pi$
$79$	6.36288	−	2.90583i	0.715880	−	0.326931i	0.739841	+	0.672782i	$0.234901\pi$
$80$	0.280641	+	0.0824037i	0.0313767	+	0.00921302i
$81$	−0.959493	−	0.281733i	−0.106610	−	0.0313036i
$82$	−2.01218	+	0.918931i	−0.222208	+	0.101479i
$83$	−1.09286	+	7.60102i	−0.119957	+	0.834320i	0.837643	+	0.546219i	$0.183933\pi$
$83$	−1.09286	+	7.60102i	−0.119957	+	0.834320i	−0.957600	+	0.288102i	$0.906976\pi$
$84$	2.62787	+	0.307101i	0.286724	+	0.0335075i
$85$	−0.137065	+	0.300132i	−0.0148668	+	0.0325538i
$86$	−2.16884	+	3.37478i	−0.233872	+	0.363912i
$87$	−4.45181	+	0.640073i	−0.477284	+	0.0686230i
$88$	−0.985644	−	1.53369i	−0.105070	−	0.163492i
$89$	−6.28806	−	7.25681i	−0.666533	−	0.769220i	0.317297	−	0.948326i	$-0.397225\pi$
$89$	−6.28806	−	7.25681i	−0.666533	−	0.769220i	−0.983830	+	0.179106i	$0.942679\pi$
$90$	−0.280641	+	0.0824037i	−0.0295822	+	0.00868612i
$91$	3.84623	+	5.65031i	0.403195	+	0.592314i
$92$	4.64939	−	1.17607i	0.484733	−	0.122613i
$93$	3.00142			0.311232
$94$	−2.63230	−	8.96480i	−0.271501	−	0.924649i
$95$	−0.618178	−	0.713415i	−0.0634237	−	0.0731949i
$96$	−0.540641	−	0.841254i	−0.0551789	−	0.0858601i
$97$	1.34152	+	9.33048i	0.136211	+	0.947367i	0.937226	+	0.348723i	$0.113384\pi$
$97$	1.34152	+	9.33048i	0.136211	+	0.947367i	−0.801015	+	0.598644i	$0.795706\pi$
$98$	5.68032	−	4.09072i	0.573799	−	0.413225i
$99$	1.65835	+	0.757345i	0.166671	+	0.0761160i
$100$	3.21828	−	3.71409i	0.321828	−	0.371409i
$101$	15.8015	+	2.27192i	1.57231	+	0.226064i	0.872627	−	0.488387i	$-0.162415\pi$
$101$	15.8015	+	2.27192i	1.57231	+	0.226064i	0.699685	+	0.714452i	$0.253324\pi$
$102$	1.02613	−	0.468617i	0.101602	−	0.0464000i
$103$	−14.5845	−	4.28239i	−1.43705	−	0.421956i	−0.531813	−	0.846862i	$-0.678489\pi$
$103$	−14.5845	−	4.28239i	−1.43705	−	0.421956i	−0.905237	+	0.424906i	$0.860307\pi$
$104$	0.727842	−	2.47880i	0.0713708	−	0.243067i
$105$	−0.401004	+	0.661850i	−0.0391340	+	0.0645899i
$106$	−11.3385	−	1.63023i	−1.10129	−	0.158342i
$107$	6.78277	+	5.87730i	0.655715	+	0.568180i	0.917887	−	0.396841i	$-0.129894\pi$
$107$	6.78277	+	5.87730i	0.655715	+	0.568180i	−0.262173	+	0.965021i	$0.584439\pi$
$108$	0.909632	+	0.415415i	0.0875294	+	0.0399733i
$109$	5.27743	−	8.21185i	0.505486	−	0.786552i	−0.490924	−	0.871202i	$-0.663341\pi$
$109$	5.27743	−	8.21185i	0.505486	−	0.786552i	0.996411	+	0.0846501i	$0.0269772\pi$
$110$	0.527811	−	0.0758877i	0.0503248	−	0.00723561i
$111$	−3.87104	+	2.48776i	−0.367423	+	0.236128i
$112$	−2.55741	−	0.677960i	−0.241653	−	0.0640612i
$113$	4.58115	+	15.6019i	0.430958	+	1.46771i	0.833609	+	0.552355i	$0.186271\pi$
$113$	4.58115	+	15.6019i	0.430958	+	1.46771i	−0.402651	+	0.915353i	$0.631911\pi$
$114$			3.22741i			0.302275i
$115$	−0.252021	+	1.37990i	−0.0235011	+	0.128677i
$116$	4.49759			0.417590
$117$	0.727842	+	2.47880i	0.0672890	+	0.229165i
$118$	−9.28585	+	8.04623i	−0.854831	+	0.740716i
$119$	1.16757	−	2.74674i	0.107031	−	0.251793i
$120$	0.289512	−	0.0416256i	0.0264287	−	0.00379988i
$121$	6.45771	+	4.15012i	0.587064	+	0.377283i
$122$	3.99951	−	8.75770i	0.362098	−	0.792885i
$123$	−1.44860	+	1.67178i	−0.130616	+	0.150739i
$124$	−2.97087	−	0.427146i	−0.266792	−	0.0383589i
$125$	1.20465	+	2.63781i	0.107747	+	0.235933i
$126$	2.51797	−	0.812307i	0.224318	−	0.0723660i
$127$	4.38883	+	1.28868i	0.389446	+	0.114352i	0.470593	−	0.882350i	$-0.344040\pi$
$127$	4.38883	+	1.28868i	0.389446	+	0.114352i	−0.0811468	+	0.996702i	$0.525858\pi$
$128$	0.415415	+	0.909632i	0.0367178	+	0.0804009i
$129$	−0.570912	+	3.97078i	−0.0502660	+	0.349608i
$130$	0.571068	+	0.494833i	0.0500860	+	0.0433998i
$131$	−3.35174	−	1.53069i	−0.292843	−	0.133737i	0.263576	−	0.964639i	$-0.415098\pi$
$131$	−3.35174	−	1.53069i	−0.292843	−	0.133737i	−0.556419	+	0.830902i	$0.687825\pi$
$132$	−1.53369	−	0.985644i	−0.133491	−	0.0857893i
$133$	5.76062	+	6.30307i	0.499509	+	0.546546i
$134$	−4.82282	−	7.50445i	−0.416628	−	0.648286i
$135$	−0.221049	+	0.191540i	−0.0190248	+	0.0164851i
$136$	−1.08238	+	0.317814i	−0.0928129	+	0.0272523i
$137$			3.37551i			0.288389i	0.989549	+	0.144195i	$0.0460591\pi$
$137$			3.37551i			0.288389i	−0.989549	+	0.144195i	$0.953941\pi$
$138$	3.74068	−	3.00122i	0.318428	−	0.255480i
$139$		−	10.6290i		−	0.901540i	−0.892640	−	0.450770i	$-0.851149\pi$
$139$		−	10.6290i		−	0.901540i	0.892640	−	0.450770i	$-0.148851\pi$
$140$	0.491113	−	0.598044i	0.0415067	−	0.0505440i
$141$	−6.11854	−	7.06117i	−0.515274	−	0.594658i
$142$	11.3520	−	7.29548i	0.952638	−	0.612223i
$143$	−0.670289	−	4.66196i	−0.0560524	−	0.389853i
$144$	−0.841254	−	0.540641i	−0.0701045	−	0.0450534i
$145$	−0.546476	+	1.19662i	−0.0453824	+	0.0993736i
$146$	−4.20867	−	3.64683i	−0.348312	−	0.301814i
$147$	3.46765	−	6.08074i	0.286007	−	0.501531i
$148$	4.18568	−	1.91154i	0.344061	−	0.157127i
$149$	2.17600	−	7.41079i	0.178265	−	0.607115i	−0.821076	−	0.570819i	$-0.806626\pi$
$149$	2.17600	−	7.41079i	0.178265	−	0.607115i	0.999341	−	0.0362963i	$-0.0115560\pi$
$150$	1.38456	−	4.71538i	0.113049	−	0.385009i
$151$	−5.15066	−	11.2784i	−0.419155	−	0.917821i	−0.994964	−	0.100237i	$-0.968040\pi$
$151$	−5.15066	−	11.2784i	−0.419155	−	0.917821i	0.575809	−	0.817584i	$-0.304687\pi$
$152$	0.459309	−	3.19456i	0.0372549	−	0.259113i
$153$	0.738729	−	0.852538i	0.0597227	−	0.0689237i
$154$	−4.75455	+	0.812547i	−0.383132	+	0.0654769i
$155$	0.474619	−	0.738521i	0.0381223	−	0.0593195i
$156$	−0.367663	−	2.55716i	−0.0294366	−	0.204736i
$157$	12.8772	−	8.27569i	1.02771	−	0.660472i	0.0857956	−	0.996313i	$-0.472657\pi$
$157$	12.8772	−	8.27569i	1.02771	−	0.660472i	0.941919	+	0.335841i	$0.109020\pi$
$158$	−5.28647	+	4.58075i	−0.420569	+	0.364425i
$159$	−10.9911	+	3.22727i	−0.871650	+	0.255939i
$160$	−0.292489			−0.0231233
$161$	1.94860	−	12.5381i	0.153571	−	0.988138i
$162$	1.00000			0.0785674
$163$	−19.6351	+	5.76539i	−1.53794	+	0.451580i	−0.937470	−	0.348067i	$-0.886838\pi$
$163$	−19.6351	+	5.76539i	−1.53794	+	0.451580i	−0.600471	+	0.799647i	$0.705020\pi$
$164$	1.67178	−	1.44860i	0.130544	−	0.113117i
$165$	0.448589	−	0.288290i	0.0349226	−	0.0224434i
$166$	−1.09286	−	7.60102i	−0.0848225	−	0.589954i
$167$	0.381032	−	0.592897i	0.0294851	−	0.0458797i	−0.826198	−	0.563380i	$-0.809501\pi$
$167$	0.381032	−	0.592897i	0.0294851	−	0.0458797i	0.855683	+	0.517500i	$0.173137\pi$
$168$	−2.60794	+	0.445694i	−0.201207	+	0.0343861i
$169$	−4.14250	+	4.78071i	−0.318654	+	0.367747i
$170$	0.0469565	−	0.326590i	0.00360140	−	0.0250483i
$171$	1.34072	+	2.93576i	0.102527	+	0.224503i
$172$	1.13020	−	3.84911i	0.0861771	−	0.293492i
$173$	−5.26871	+	17.9436i	−0.400572	+	1.36422i	0.474510	+	0.880250i	$0.342625\pi$
$173$	−5.26871	+	17.9436i	−0.400572	+	1.36422i	−0.875082	+	0.483974i	$0.839193\pi$
$174$	4.09115	−	1.86836i	0.310149	−	0.141640i
$175$	−5.71247	−	11.6803i	−0.431822	−	0.882951i
$176$	1.37781	+	1.19388i	0.103856	+	0.0899920i
$177$	−5.10418	+	11.1766i	−0.383653	+	0.840084i
$178$	8.07783	+	5.19131i	0.605459	+	0.389105i
$179$	2.41746	+	16.8138i	0.180690	+	1.25672i	0.855138	+	0.518401i	$0.173473\pi$
$179$	2.41746	+	16.8138i	0.180690	+	1.25672i	−0.674448	+	0.738322i	$0.735618\pi$
$180$	0.246058	−	0.158132i	0.0183400	−	0.0117864i
$181$	−3.60708	−	4.16279i	−0.268112	−	0.309418i	0.605689	−	0.795702i	$-0.292898\pi$
$181$	−3.60708	−	4.16279i	−0.268112	−	0.309418i	−0.873801	+	0.486284i	$0.838352\pi$
$182$	−5.28231	−	4.33783i	−0.391551	−	0.321541i
$183$		−	9.62774i		−	0.711703i
$184$	−4.12973	+	2.43831i	−0.304447	+	0.179755i
$185$			1.34589i			0.0989520i
$186$	−2.87984	+	0.845597i	−0.211160	+	0.0620022i
$187$	−1.55427	+	1.34678i	−0.113659	+	0.0984863i
$188$	5.05135	+	7.86006i	0.368408	+	0.573254i
$189$	1.95298	−	1.78490i	0.142058	−	0.129832i
$190$	0.794130	+	0.510356i	0.0576122	+	0.0370251i
$191$	−12.6791	−	5.79033i	−0.917425	−	0.418974i	−0.0999856	−	0.994989i	$-0.531880\pi$
$191$	−12.6791	−	5.79033i	−0.917425	−	0.418974i	−0.817439	+	0.576015i	$0.804607\pi$
$192$	0.755750	+	0.654861i	0.0545415	+	0.0472605i
$193$	2.81334	−	19.5672i	0.202508	−	1.40848i	−0.594299	−	0.804244i	$-0.702570\pi$
$193$	2.81334	−	19.5672i	0.202508	−	1.40848i	0.796807	−	0.604233i	$-0.206520\pi$
$194$	−3.91588	−	8.57458i	−0.281144	−	0.615619i
$195$	0.725023	+	0.212886i	0.0519200	+	0.0152451i
$196$	−4.29773	+	5.52535i	−0.306981	+	0.394668i
$197$	−3.72179	−	8.14958i	−0.265166	−	0.580633i	0.729476	−	0.684006i	$-0.239764\pi$
$197$	−3.72179	−	8.14958i	−0.265166	−	0.580633i	−0.994643	+	0.103373i	$0.967037\pi$
$198$	−1.80455	−	0.259455i	−0.128244	−	0.0184386i
$199$	11.9825	−	13.8285i	0.849414	−	0.980276i	−0.150551	−	0.988602i	$-0.548105\pi$
$199$	11.9825	−	13.8285i	0.849414	−	0.980276i	0.999965	+	0.00832588i	$0.00265024\pi$
$200$	−2.04154	+	4.47034i	−0.144358	+	0.316101i
$201$	−7.50445	−	4.82282i	−0.529323	−	0.340175i
$202$	−15.8015	+	2.27192i	−1.11179	+	0.159852i
$203$	4.65508	−	10.9512i	0.326722	−	0.768622i
$204$	−0.852538	+	0.738729i	−0.0596896	+	0.0517214i
$205$	0.182284	+	0.620801i	0.0127312	+	0.0433586i
$206$	15.2002			1.05905
$207$	2.15589	−	4.28394i	0.149845	−	0.297754i
$208$			2.58345i			0.179130i
$209$	−1.65769	−	5.64557i	−0.114665	−	0.390512i
$210$	0.198296	−	0.748016i	0.0136837	−	0.0516180i
$211$	−3.07083	+	1.97350i	−0.211404	+	0.135861i	−0.642058	−	0.766656i	$-0.721919\pi$
$211$	−3.07083	+	1.97350i	−0.211404	+	0.135861i	0.430654	+	0.902517i	$0.358283\pi$
$212$	11.3385	−	1.63023i	0.778731	−	0.111965i
$213$	7.29548	−	11.3520i	0.499878	−	0.777826i
$214$	−8.16384	−	3.72830i	−0.558069	−	0.254862i
$215$	0.886761	+	0.768383i	0.0604766	+	0.0524033i
$216$	−0.989821	−	0.142315i	−0.0673488	−	0.00968330i
$217$	−4.11496	+	6.79166i	−0.279341	+	0.461048i
$218$	−2.75012	+	9.36603i	−0.186261	+	0.634348i
$219$	−5.34329	−	1.56893i	−0.361066	−	0.106019i
$220$	−0.485051	+	0.221515i	−0.0327021	+	0.0149345i
$221$	−2.88465	−	0.414750i	−0.194043	−	0.0278991i
$222$	3.01335	−	3.47759i	0.202243	−	0.233401i
$223$	−10.6619	−	4.86912i	−0.713973	−	0.326061i	0.0251009	−	0.999685i	$-0.492009\pi$
$223$	−10.6619	−	4.86912i	−0.713973	−	0.326061i	−0.739074	+	0.673624i	$0.764737\pi$
$224$	2.64482	−	0.0700092i	0.176715	−	0.00467769i
$225$	−0.699399	−	4.86443i	−0.0466266	−	0.324295i
$226$	−8.79115	−	13.6793i	−0.584779	−	0.909934i
$227$	−8.76605	−	10.1166i	−0.581823	−	0.671460i	0.386173	−	0.922427i	$-0.373797\pi$
$227$	−8.76605	−	10.1166i	−0.581823	−	0.671460i	−0.967996	+	0.250967i	$0.919251\pi$
$228$	−0.909268	−	3.09668i	−0.0602177	−	0.205083i
$229$	22.5201			1.48817			0.744085	−	0.668085i	$-0.232886\pi$
$229$	22.5201			1.48817			0.744085	+	0.668085i	$0.232886\pi$
$230$	−0.146952	−	1.39501i	−0.00968970	−	0.0919843i
$231$	−3.98734	+	2.71423i	−0.262348	+	0.178583i
$232$	−4.31540	+	1.26712i	−0.283320	+	0.0831903i
$233$	−5.82388	−	6.72112i	−0.381535	−	0.440315i	0.532204	−	0.846616i	$-0.321364\pi$
$233$	−5.82388	−	6.72112i	−0.381535	−	0.440315i	−0.913739	+	0.406301i	$0.866818\pi$
$234$	−1.39672	−	2.17334i	−0.0913064	−	0.142076i
$235$	−2.70499	+	0.388919i	−0.176454	+	0.0253703i
$236$	6.64282	−	10.3364i	0.432411	−	0.672844i
$237$	−2.90583	+	6.36288i	−0.188754	+	0.413313i
$238$	−0.346432	+	2.96442i	−0.0224558	+	0.192155i
$239$	3.45818	−	24.0521i	0.223691	−	1.55580i	−0.500213	−	0.865902i	$-0.666745\pi$
$239$	3.45818	−	24.0521i	0.223691	−	1.55580i	0.723904	−	0.689901i	$-0.242346\pi$
$240$	−0.266058	+	0.121504i	−0.0171739	+	0.00784308i
$241$	15.8570	+	4.65602i	1.02144	+	0.299921i	0.749224	−	0.662317i	$-0.230427\pi$
$241$	15.8570	+	4.65602i	1.02144	+	0.299921i	0.272212	+	0.962237i	$0.412245\pi$
$242$	−7.36535	−	2.16266i	−0.473463	−	0.139021i
$243$	0.909632	−	0.415415i	0.0583529	−	0.0266489i
$244$	−1.37017	+	9.52974i	−0.0877161	+	0.610079i
$245$	−0.947867	−	1.81480i	−0.0605570	−	0.115943i
$246$	0.918931	−	2.01218i	0.0585889	−	0.128292i
$247$	4.50779	−	7.01426i	0.286824	−	0.446307i
$248$	2.97087	−	0.427146i	0.188650	−	0.0271238i
$249$	−4.15168	−	6.46014i	−0.263102	−	0.409395i
$250$	−1.89901	−	2.19158i	−0.120104	−	0.138607i
$251$	−10.0717	+	2.95731i	−0.635718	+	0.186664i	−0.583683	−	0.811982i	$-0.698389\pi$
$251$	−10.0717	+	2.95731i	−0.635718	+	0.186664i	−0.0520349	+	0.998645i	$0.516571\pi$
$252$	−2.18712	+	1.48880i	−0.137776	+	0.0937853i
$253$	−5.00190	+	7.17121i	−0.314467	+	0.450850i
$254$	−4.57412			−0.287006
$255$	−0.0929572	−	0.316583i	−0.00582120	−	0.0198252i
$256$	−0.654861	−	0.755750i	−0.0409288	−	0.0472343i
$257$	−0.294668	−	0.458512i	−0.0183809	−	0.0286012i	0.831942	−	0.554863i	$-0.187229\pi$
$257$	−0.294668	−	0.458512i	−0.0183809	−	0.0286012i	−0.850322	+	0.526262i	$0.823593\pi$
$258$	−0.570912	−	3.97078i	−0.0355434	−	0.247210i
$259$	−0.322148	−	12.1702i	−0.0200173	−	0.756219i
$260$	−0.687347	−	0.313901i	−0.0426274	−	0.0194673i
$261$	2.94529	−	3.39905i	0.182309	−	0.210396i
$262$	3.64721	+	0.524390i	0.225326	+	0.0323969i
$263$	−2.57654	+	1.17666i	−0.158876	+	0.0725563i	−0.493266	−	0.869879i	$-0.664197\pi$
$263$	−2.57654	+	1.17666i	−0.158876	+	0.0725563i	0.334390	+	0.942435i	$0.391470\pi$
$264$	1.74926	+	0.513628i	0.107659	+	0.0316116i
$265$	−0.943943	+	3.21477i	−0.0579859	+	0.197482i
$266$	−7.30305	−	4.42480i	−0.447779	−	0.271302i
$267$	9.50440	+	1.36653i	0.581660	+	0.0836301i
$268$	6.74170	+	5.84172i	0.411815	+	0.356840i
$269$	10.7231	+	4.89710i	0.653802	+	0.298581i	0.714563	−	0.699571i	$-0.246626\pi$
$269$	10.7231	+	4.89710i	0.653802	+	0.298581i	−0.0607612	+	0.998152i	$0.519353\pi$
$270$	0.158132	−	0.246058i	0.00962358	−	0.0149746i
$271$	15.4690	−	2.22411i	0.939677	−	0.135105i	0.344578	−	0.938758i	$-0.388022\pi$
$271$	15.4690	−	2.22411i	0.939677	−	0.135105i	0.595099	+	0.803652i	$0.297113\pi$
$272$	0.948993	−	0.609881i	0.0575411	−	0.0369795i
$273$	−6.60696	−	1.75148i	−0.399871	−	0.106004i
$274$	−0.950990	−	3.23878i	−0.0574514	−	0.195662i
$275$			8.95955i			0.540281i
$276$	−2.74362	+	3.93352i	−0.165146	+	0.236770i
$277$	−2.74582			−0.164980			−0.0824901	−	0.996592i	$-0.526287\pi$
$277$	−2.74582			−0.164980			−0.0824901	+	0.996592i	$0.526287\pi$
$278$	2.99454	+	10.1985i	0.179600	+	0.611663i
$279$	−2.26832	+	1.96551i	−0.135801	+	0.117672i
$280$	−0.302731	+	0.712182i	−0.0180917	+	0.0425610i
$281$	−5.94412	+	0.854635i	−0.354596	+	0.0509833i	−0.317311	−	0.948321i	$-0.602780\pi$
$281$	−5.94412	+	0.854635i	−0.354596	+	0.0509833i	−0.0372850	+	0.999305i	$0.511871\pi$
$282$	7.86006	+	5.05135i	0.468060	+	0.300804i
$283$	10.1166	−	22.1523i	0.601371	−	1.31682i	−0.326951	−	0.945041i	$-0.606021\pi$
$283$	10.1166	−	22.1523i	0.601371	−	1.31682i	0.928322	−	0.371777i	$-0.121251\pi$
$284$	−8.83678	+	10.1982i	−0.524367	+	0.605151i
$285$	0.934375	+	0.134343i	0.0553476	+	0.00795779i
$286$	1.95656	+	4.28428i	0.115694	+	0.253335i
$287$	−1.79689	−	5.56994i	−0.106067	−	0.328783i
$288$	0.959493	+	0.281733i	0.0565387	+	0.0166013i
$289$	−6.53342	−	14.3062i	−0.384319	−	0.841541i
$290$	0.187214	−	1.30211i	0.0109936	−	0.0764623i
$291$	−7.12402	−	6.17300i	−0.417617	−	0.361867i
$292$	5.06562	+	2.31339i	0.296443	+	0.135381i
$293$	−5.26488	−	3.38353i	−0.307577	−	0.197668i	0.377742	−	0.925911i	$-0.376701\pi$
$293$	−5.26488	−	3.38353i	−0.307577	−	0.197668i	−0.685319	+	0.728243i	$0.740337\pi$
$294$	−1.61404	+	6.81138i	−0.0941329	+	0.397248i
$295$	1.94295	+	3.02329i	0.113123	+	0.176023i
$296$	−3.47759	+	3.01335i	−0.202131	+	0.175147i
$297$	−1.74926	+	0.513628i	−0.101502	+	0.0298037i
$298$			7.72365i			0.447419i
$299$	−12.3216	+	1.29797i	−0.712578	+	0.0750636i
$300$			4.91445i			0.283736i
$301$	−8.20243	−	6.73583i	−0.472780	−	0.388247i
$302$	8.11951	+	9.37041i	0.467225	+	0.539206i
$303$	−13.4298	+	8.63080i	−0.771522	+	0.495827i
$304$	0.459309	+	3.19456i	0.0263432	+	0.183221i
$305$	−2.36898	−	1.52245i	−0.135647	−	0.0871752i
$306$	−0.468617	+	1.02613i	−0.0267891	+	0.0586599i
$307$	7.15298	+	6.19809i	0.408242	+	0.353744i	0.834644	−	0.550790i	$-0.185674\pi$
$307$	7.15298	+	6.19809i	0.408242	+	0.353744i	−0.426402	+	0.904534i	$0.640219\pi$
$308$	4.33303	−	2.11914i	0.246898	−	0.120749i
$309$	13.8266	−	6.31438i	0.786566	−	0.359213i
$310$	−0.247328	+	0.842321i	−0.0140473	+	0.0478406i
$311$	3.29406	−	11.2185i	0.186789	−	0.636145i	−0.811844	−	0.583874i	$-0.801536\pi$
$311$	3.29406	−	11.2185i	0.186789	−	0.636145i	0.998633	−	0.0522704i	$-0.0166458\pi$
$312$	1.07320	+	2.34999i	0.0607582	+	0.133042i
$313$	−2.11146	+	14.6855i	−0.119347	+	0.830074i	0.838932	+	0.544237i	$0.183181\pi$
$313$	−2.11146	+	14.6855i	−0.119347	+	0.830074i	−0.958278	+	0.285837i	$0.907728\pi$
$314$	−10.0241	+	11.5684i	−0.565691	+	0.652842i
$315$	−0.130361	−	0.762795i	−0.00734500	−	0.0429786i
$316$	3.78178	−	5.88457i	0.212742	−	0.331033i
$317$	0.584546	+	4.06561i	0.0328314	+	0.228347i	0.999630	−	0.0271913i	$-0.00865631\pi$
$317$	0.584546	+	4.06561i	0.0328314	+	0.228347i	−0.966799	+	0.255539i	$0.917747\pi$
$318$	9.63664	−	6.19309i	0.540396	−	0.347291i
$319$	−6.19682	+	5.36957i	−0.346955	+	0.300638i
$320$	0.280641	−	0.0824037i	0.0156883	−	0.00460651i
$321$	−8.97489			−0.500929
$322$	1.66271	+	12.5792i	0.0926592	+	0.701009i
$323$	−3.64075			−0.202577
$324$	−0.959493	+	0.281733i	−0.0533052	+	0.0156518i
$325$	−9.59518	+	8.31427i	−0.532245	+	0.461193i
$326$	17.2155	−	11.0637i	0.953476	−	0.612762i
$327$	1.38920	+	9.66208i	0.0768228	+	0.534314i
$328$	−1.19594	+	1.86092i	−0.0660348	+	0.102752i
$329$	24.3667	−	4.16424i	1.34338	−	0.229582i
$330$	−0.349197	+	0.402995i	−0.0192226	+	0.0221841i
$331$	−0.263251	+	1.83095i	−0.0144696	+	0.100638i	−0.995776	−	0.0918117i	$-0.970734\pi$
$331$	−0.263251	+	1.83095i	−0.0144696	+	0.100638i	0.981307	+	0.192450i	$0.0616433\pi$
$332$	3.19005	+	6.98523i	0.175077	+	0.383364i
$333$	1.29640	−	4.41512i	0.0710420	−	0.241947i
$334$	−0.198559	+	0.676229i	−0.0108647	+	0.0370016i
$335$	−2.37338	+	1.08389i	−0.129672	+	0.0592190i
$336$	2.37673	−	1.16238i	0.129661	−	0.0634132i
$337$	17.1364	+	14.8487i	0.933477	+	0.808863i	0.981790	−	0.189970i	$-0.0608390\pi$
$337$	17.1364	+	14.8487i	0.933477	+	0.808863i	−0.0483128	+	0.998832i	$0.515384\pi$
$338$	2.62782	−	5.75413i	0.142935	−	0.312984i
$339$	−13.6793	−	8.79115i	−0.742958	−	0.477470i
$340$	0.0469565	+	0.326590i	0.00254658	+	0.0177118i
$341$	4.60325	−	2.95833i	0.249280	−	0.160203i
$342$	−2.11351	−	2.43912i	−0.114285	−	0.131892i
$343$	9.00545	+	16.1834i	0.486248	+	0.873821i
$344$			4.01161i			0.216292i
$345$	−0.713180	−	1.20790i	−0.0383963	−	0.0650312i
$346$		−	18.7011i		−	1.00538i
$347$	−16.5798	+	4.86828i	−0.890053	+	0.261343i	−0.694622	−	0.719375i	$-0.744428\pi$
$347$	−16.5798	+	4.86828i	−0.890053	+	0.261343i	−0.195430	+	0.980718i	$0.562610\pi$
$348$	−3.39905	+	2.94529i	−0.182208	+	0.157884i
$349$	−2.49074	−	3.87566i	−0.133326	−	0.207459i	0.768171	−	0.640245i	$-0.221167\pi$
$349$	−2.49074	−	3.87566i	−0.133326	−	0.207459i	−0.901497	+	0.432786i	$0.857531\pi$
$350$	8.77181	+	9.59782i	0.468873	+	0.513025i
$351$	−2.17334	−	1.39672i	−0.116004	−	0.0745514i
$352$	−1.65835	−	0.757345i	−0.0883905	−	0.0403666i
$353$	0.868685	+	0.752720i	0.0462354	+	0.0400632i	0.677672	−	0.735364i	$-0.262989\pi$
$353$	0.868685	+	0.752720i	0.0462354	+	0.0400632i	−0.631437	+	0.775428i	$0.717534\pi$
$354$	1.74861	−	12.1619i	0.0929377	−	0.646396i
$355$	−1.63960	−	3.59022i	−0.0870208	−	0.190549i
$356$	−9.21318	−	2.70523i	−0.488298	−	0.143377i
$357$	0.916339	+	2.84044i	0.0484978	+	0.150332i
$358$	−7.05654	−	15.4517i	−0.372950	−	0.816646i
$359$	−11.7732	−	1.69274i	−0.621367	−	0.0893392i	−0.175561	−	0.984469i	$-0.556174\pi$
$359$	−11.7732	−	1.69274i	−0.621367	−	0.0893392i	−0.445806	+	0.895129i	$0.647083\pi$
$360$	−0.191540	+	0.221049i	−0.0100950	+	0.0116503i
$361$	−3.56584	+	7.80810i	−0.187676	+	0.410952i
$362$	4.63376	+	2.97794i	0.243545	+	0.156517i
$363$	−7.59816	+	1.09245i	−0.398800	+	0.0573388i
$364$	6.29045	+	2.67392i	0.329709	+	0.140151i
$365$	−1.23099	+	1.06666i	−0.0644330	+	0.0558315i
$366$	2.71245	+	9.23774i	0.141782	+	0.482865i
$367$	19.9227			1.03995			0.519977	−	0.854180i	$-0.325940\pi$
$367$	19.9227			1.03995			0.519977	+	0.854180i	$0.325940\pi$
$368$	3.27549	−	3.50302i	0.170747	−	0.182608i
$369$		−	2.21208i		−	0.115156i
$370$	−0.379182	−	1.29137i	−0.0197127	−	0.0671353i
$371$	7.76610	−	29.2954i	0.403196	−	1.52094i
$372$	2.52495	−	1.62269i	0.130913	−	0.0841325i
$373$	24.7994	−	3.56561i	1.28406	−	0.184620i	0.533716	−	0.845664i	$-0.320795\pi$
$373$	24.7994	−	3.56561i	1.28406	−	0.184620i	0.750348	+	0.661043i	$0.229886\pi$
$374$	1.11188	−	1.73011i	0.0574937	−	0.0894620i
$375$	−2.63781	−	1.20465i	−0.136216	−	0.0622078i
$376$	−7.06117	−	6.11854i	−0.364152	−	0.315540i
$377$	−11.5010	−	1.65360i	−0.592333	−	0.0851646i
$378$	−1.37100	+	2.26282i	−0.0705169	+	0.116387i
$379$	−5.08926	+	17.3324i	−0.261418	+	0.890307i	0.719270	+	0.694730i	$0.244476\pi$
$379$	−5.08926	+	17.3324i	−0.261418	+	0.890307i	−0.980688	+	0.195577i	$0.937342\pi$
$380$	−0.905746	−	0.265951i	−0.0464638	−	0.0136430i
$381$	−4.16076	+	1.90016i	−0.213162	+	0.0973480i
$382$	13.7968	+	1.98368i	0.705905	+	0.101494i
$383$	−11.7755	+	13.5896i	−0.601698	+	0.694396i	−0.972124	−	0.234466i	$-0.924666\pi$
$383$	−11.7755	+	13.5896i	−0.601698	+	0.694396i	0.370427	+	0.928862i	$0.379211\pi$
$384$	−0.909632	−	0.415415i	−0.0464195	−	0.0211991i
$385$	0.0373316	+	1.41032i	0.00190259	+	0.0718766i
$386$	2.81334	+	19.5672i	0.143195	+	0.995944i
$387$	−2.16884	−	3.37478i	−0.110248	−	0.171550i
$388$	6.17300	+	7.12402i	0.313386	+	0.361667i
$389$	0.0713974	+	0.243157i	0.00361999	+	0.0123286i	0.961283	−	0.275562i	$-0.0888641\pi$
$389$	0.0713974	+	0.243157i	0.00361999	+	0.0123286i	−0.957663	+	0.287891i	$0.907046\pi$
$390$	−0.755632			−0.0382629
$391$	3.38558	+	4.21975i	0.171216	+	0.213402i
$392$	2.56697	−	6.51235i	0.129652	−	0.328923i
$393$	3.53546	−	1.03811i	0.178341	−	0.0523655i
$394$	5.86703	+	6.77091i	0.295577	+	0.341114i
$395$	1.10613	+	1.72117i	0.0556555	+	0.0866016i
$396$	1.80455	−	0.259455i	0.0906819	−	0.0130381i
$397$	−18.8121	+	29.2722i	−0.944152	+	1.46913i	−0.0620489	+	0.998073i	$0.519763\pi$
$397$	−18.8121	+	29.2722i	−0.944152	+	1.46913i	−0.882103	+	0.471056i	$0.843873\pi$
$398$	−7.60115	+	16.6442i	−0.381011	+	0.834298i
$399$	−8.48122	−	0.991143i	−0.424592	−	0.0496192i
$400$	0.699399	−	4.86443i	0.0349700	−	0.243221i
$401$	16.7200	−	7.63578i	0.834959	−	0.381313i	0.0483998	−	0.998828i	$-0.484588\pi$
$401$	16.7200	−	7.63578i	0.834959	−	0.381313i	0.786559	+	0.617515i	$0.211861\pi$
$402$	8.55921	+	2.51321i	0.426895	+	0.125348i
$403$	7.43992	+	2.18456i	0.370609	+	0.108821i
$404$	14.5214	−	6.63170i	0.722466	−	0.329939i
$405$	0.0416256	−	0.289512i	0.00206839	−	0.0143860i
$406$	−1.38121	+	11.8191i	−0.0685485	+	0.586570i
$407$	−3.48493	+	7.63093i	−0.172742	+	0.378251i
$408$	0.609881	−	0.948993i	0.0301936	−	0.0469822i
$409$	−24.1200	+	3.46794i	−1.19266	+	0.171479i	−0.709918	−	0.704284i	$-0.751268\pi$
$409$	−24.1200	+	3.46794i	−1.19266	+	0.171479i	−0.482741	+	0.875763i	$0.660359\pi$
$410$	−0.349800	−	0.544299i	−0.0172754	−	0.0268810i
$411$	−2.21049	−	2.55104i	−0.109035	−	0.125833i
$412$	−14.5845	+	4.28239i	−0.718525	+	0.210978i
$413$	−18.2927	−	26.8730i	−0.900127	−	1.32233i
$414$	−0.861641	+	4.71779i	−0.0423474	+	0.231867i
$415$	−2.24608			−0.110256
$416$	−0.727842	−	2.47880i	−0.0356854	−	0.121533i
$417$	6.96052	+	8.03286i	0.340858	+	0.393371i
$418$	3.18108	+	4.94986i	0.155592	+	0.242106i
$419$	2.41978	+	16.8299i	0.118214	+	0.822196i	0.959521	+	0.281638i	$0.0908777\pi$
$419$	2.41978	+	16.8299i	0.118214	+	0.822196i	−0.841307	+	0.540558i	$0.818213\pi$
$420$	0.0204769	+	0.773583i	0.000999172	+	0.0377470i
$421$	−9.49986	−	4.33844i	−0.462995	−	0.211443i	0.170240	−	0.985403i	$-0.445546\pi$
$421$	−9.49986	−	4.33844i	−0.462995	−	0.211443i	−0.633234	+	0.773960i	$0.718273\pi$
$422$	2.39044	−	2.75871i	0.116365	−	0.134292i
$423$	9.24817	+	1.32969i	0.449661	+	0.0646516i
$424$	−10.4199	+	4.75862i	−0.506036	+	0.231099i
$425$	5.31928	+	1.56188i	0.258023	+	0.0757624i
$426$	−3.80174	+	12.9475i	−0.184195	+	0.627310i
$427$	21.7858	+	13.1997i	1.05429	+	0.638777i
$428$	8.88354	+	1.27726i	0.429402	+	0.0617387i
$429$	3.55950	+	3.08433i	0.171855	+	0.148913i
$430$	−1.06732	−	0.487429i	−0.0514707	−	0.0235059i
$431$	−8.44605	+	13.1423i	−0.406832	+	0.633043i	−0.982853	−	0.184392i	$-0.940968\pi$
$431$	−8.44605	+	13.1423i	−0.406832	+	0.633043i	0.576021	+	0.817435i	$0.304605\pi$
$432$	0.989821	−	0.142315i	0.0476228	−	0.00684713i
$433$	8.37556	−	5.38264i	0.402504	−	0.258673i	−0.323691	−	0.946163i	$-0.604924\pi$
$433$	8.37556	−	5.38264i	0.402504	−	0.258673i	0.726194	+	0.687490i	$0.241287\pi$
$434$	2.03484	−	7.67587i	0.0976754	−	0.368453i
$435$	−0.370618	−	1.26221i	−0.0177698	−	0.0605183i
$436$		−	9.76144i		−	0.467488i
$437$	−15.0055	+	3.79565i	−0.717811	+	0.181571i
$438$	5.56887			0.266091
$439$	−7.57542	−	25.7995i	−0.361555	−	1.23134i	−0.916696	−	0.399586i	$-0.869154\pi$
$439$	−7.57542	−	25.7995i	−0.361555	−	1.23134i	0.555141	−	0.831756i	$-0.312664\pi$
$440$	0.402995	−	0.349197i	0.0192120	−	0.0166473i
$441$	1.36136	+	6.86634i	0.0648268	+	0.326969i
$442$	2.88465	−	0.414750i	0.137209	−	0.0197277i
$443$	−13.8971	−	8.93111i	−0.660270	−	0.424330i	0.167136	−	0.985934i	$-0.446548\pi$
$443$	−13.8971	−	8.93111i	−0.660270	−	0.424330i	−0.827406	+	0.561604i	$0.810184\pi$
$444$	−1.91154	+	4.18568i	−0.0907175	+	0.198644i
$445$	1.83919	−	2.12254i	0.0871860	−	0.100618i
$446$	11.6018	+	1.66809i	0.549361	+	0.0789862i
$447$	3.20852	+	7.02568i	0.151758	+	0.332303i
$448$	−2.51797	+	0.812307i	−0.118963	+	0.0383779i
$449$	10.2992	+	3.02412i	0.486050	+	0.142717i	0.515571	−	0.856847i	$-0.327580\pi$
$449$	10.2992	+	3.02412i	0.486050	+	0.142717i	−0.0295209	+	0.999564i	$0.509398\pi$
$450$	2.04154	+	4.47034i	0.0962389	+	0.210734i
$451$	−0.573934	+	3.99180i	−0.0270255	+	0.187967i
$452$	12.2890	+	10.6484i	0.578024	+	0.500861i
$453$	11.2784	+	5.15066i	0.529904	+	0.241999i
$454$	11.2611	+	7.23709i	0.528511	+	0.339653i
$455$	−1.47573	+	1.34873i	−0.0691834	+	0.0632293i
$456$	1.74487	+	2.71507i	0.0817111	+	0.127145i
$457$	−14.9037	+	12.9141i	−0.697164	+	0.604096i	−0.929624	−	0.368510i	$-0.879868\pi$
$457$	−14.9037	+	12.9141i	−0.697164	+	0.604096i	0.232460	+	0.972606i	$0.425323\pi$
$458$	−21.6079	+	6.34465i	−1.00967	+	0.296466i
$459$			1.12807i			0.0526538i
$460$	0.534019	+	1.29710i	0.0248988	+	0.0604777i
$461$			18.4747i			0.860455i	0.902721	+	0.430227i	$0.141567\pi$
$461$			18.4747i			0.860455i	−0.902721	+	0.430227i	$0.858433\pi$
$462$	3.06114	−	3.72765i	0.142417	−	0.173426i
$463$	−0.760666	−	0.877855i	−0.0353511	−	0.0407974i	0.737799	−	0.675021i	$-0.235865\pi$
$463$	−0.760666	−	0.877855i	−0.0353511	−	0.0407974i	−0.773150	+	0.634223i	$0.781320\pi$
$464$	3.78361	−	2.43158i	0.175650	−	0.112883i
$465$	0.124936	+	0.868946i	0.00579375	+	0.0402964i
$466$	7.48153	+	4.80809i	0.346575	+	0.222730i
$467$	0.289863	−	0.634712i	0.0134133	−	0.0293710i	−0.902807	−	0.430046i	$-0.858497\pi$
$467$	0.289863	−	0.634712i	0.0134133	−	0.0293710i	0.916220	+	0.400675i	$0.131224\pi$
$468$	1.95244	+	1.69180i	0.0902517	+	0.0782035i
$469$	21.2018	−	10.3691i	0.979008	−	0.478800i
$470$	2.48585	−	1.13525i	0.114664	−	0.0523651i
$471$	−4.31253	+	14.6871i	−0.198711	+	0.676748i
$472$	−3.46163	+	11.7892i	−0.159334	+	0.542643i
$473$	3.03817	+	6.65267i	0.139695	+	0.305890i
$474$	0.995493	−	6.92380i	0.0457245	−	0.318021i
$475$	−10.3867	+	11.9869i	−0.476576	+	0.549998i
$476$	−0.502775	−	2.94194i	−0.0230446	−	0.134844i
$477$	6.19309	−	9.63664i	0.283562	−	0.441231i
$478$	3.45818	+	24.0521i	0.158173	+	1.10012i
$479$	−19.7422	+	12.6875i	−0.902043	+	0.579708i	−0.907396	−	0.420278i	$-0.861933\pi$
$479$	−19.7422	+	12.6875i	−0.902043	+	0.579708i	0.00535213	+	0.999986i	$0.498296\pi$
$480$	0.221049	−	0.191540i	0.0100894	−	0.00874255i
$481$	−11.4062	+	3.34917i	−0.520080	+	0.152709i
$482$	−16.5264			−0.752756
$483$	6.73803	+	10.7517i	0.306591	+	0.489219i
$484$	7.67629			0.348922
$485$	−2.64545	+	0.776773i	−0.120123	+	0.0352714i
$486$	−0.755750	+	0.654861i	−0.0342815	+	0.0297051i
$487$	33.0892	−	21.2651i	1.49942	−	0.963616i	0.504445	−	0.863444i	$-0.331697\pi$
$487$	33.0892	−	21.2651i	1.49942	−	0.963616i	0.994970	−	0.100172i	$-0.0319394\pi$
$488$	−1.37017	−	9.52974i	−0.0620247	−	0.431391i
$489$	11.0637	−	17.2155i	0.500318	−	0.778510i
$490$	1.42076	+	1.47424i	0.0641834	+	0.0665994i
$491$	−2.13883	+	2.46834i	−0.0965239	+	0.111395i	−0.801956	−	0.597383i	$-0.796207\pi$
$491$	−2.13883	+	2.46834i	−0.0965239	+	0.111395i	0.705432	+	0.708777i	$0.250753\pi$
$492$	−0.314812	+	2.18956i	−0.0141928	+	0.0987131i
$493$	2.10765	+	4.61510i	0.0949236	+	0.207854i
$494$	−2.34905	+	8.00012i	−0.105689	+	0.359943i
$495$	−0.150231	+	0.511638i	−0.00675236	+	0.0229964i
$496$	−2.73018	+	1.24683i	−0.122589	+	0.0559845i
$497$	15.6854	+	32.0720i	0.703584	+	1.43863i
$498$	5.80354	+	5.02880i	0.260063	+	0.225346i
$499$	−2.25578	+	4.93947i	−0.100983	+	0.221121i	−0.953379	−	0.301775i	$-0.902421\pi$
$499$	−2.25578	+	4.93947i	−0.100983	+	0.221121i	0.852397	+	0.522896i	$0.175148\pi$
$500$	2.43953	+	1.56779i	0.109099	+	0.0701136i
$501$	0.100300	+	0.697604i	0.00448109	+	0.0311667i
$502$	8.83052	−	5.67503i	0.394125	−	0.253289i
$503$	−23.9568	−	27.6476i	−1.06818	−	1.23275i	−0.971402	−	0.237440i	$-0.923692\pi$
$503$	−23.9568	−	27.6476i	−1.06818	−	1.23275i	−0.0967782	−	0.995306i	$-0.530854\pi$
$504$	1.67908	−	2.04467i	0.0747923	−	0.0910769i
$505$			4.66931i			0.207781i
$506$	2.77893	−	8.28992i	0.123538	−	0.368532i
$507$		−	6.32578i		−	0.280938i
$508$	4.38883	−	1.28868i	0.194723	−	0.0571758i
$509$	5.19708	−	4.50329i	0.230356	−	0.199605i	−0.532033	−	0.846724i	$-0.678572\pi$
$509$	5.19708	−	4.50329i	0.230356	−	0.199605i	0.762389	+	0.647119i	$0.224026\pi$
$510$	0.178384	+	0.277570i	0.00789896	+	0.0122910i
$511$	10.8759	−	9.93988i	0.481121	−	0.439714i
$512$	0.841254	+	0.540641i	0.0371785	+	0.0238932i
$513$	−2.93576	−	1.34072i	−0.129617	−	0.0591941i
$514$	0.411909	+	0.356921i	0.0181685	+	0.0157431i
$515$	0.632716	−	4.40064i	0.0278808	−	0.193915i
$516$	1.66648	+	3.64909i	0.0733629	+	0.160642i
$517$	−16.3438	−	4.79896i	−0.718798	−	0.211058i
$518$	3.73784	+	11.5865i	0.164231	+	0.509080i
$519$	−7.76871	−	17.0111i	−0.341009	−	0.746705i
$520$	0.747940	+	0.107538i	0.0327994	+	0.00471583i
$521$	13.1239	−	15.1458i	0.574968	−	0.663549i	−0.391547	−	0.920158i	$-0.628060\pi$
$521$	13.1239	−	15.1458i	0.574968	−	0.663549i	0.966515	+	0.256610i	$0.0826054\pi$
$522$	−1.86836	+	4.09115i	−0.0817761	+	0.179065i
$523$	15.6106	+	10.0323i	0.682604	+	0.438683i	0.835450	−	0.549567i	$-0.185207\pi$
$523$	15.6106	+	10.0323i	0.682604	+	0.438683i	−0.152845	+	0.988250i	$0.548844\pi$
$524$	−3.64721	+	0.524390i	−0.159329	+	0.0229081i
$525$	11.9662	+	5.08654i	0.522248	+	0.221995i
$526$	2.14066	−	1.85490i	0.0933374	−	0.0808773i
$527$	−0.953892	−	3.24866i	−0.0415522	−	0.141514i
$528$	−1.82310			−0.0793404
$529$	18.3531	+	13.8623i	0.797962	+	0.602708i
$530$		−	3.35049i		−	0.145536i
$531$	−3.46163	−	11.7892i	−0.150222	−	0.511609i
$532$	8.25384	+	2.18806i	0.357849	+	0.0948643i
$533$	−4.80759	+	3.08965i	−0.208240	+	0.133828i
$534$	−9.50440	+	1.36653i	−0.411296	+	0.0591354i
$535$	−1.41921	+	2.20834i	−0.0613579	+	0.0954748i
$536$	−8.11442	−	3.70573i	−0.350490	−	0.160063i
$537$	−12.8377	−	11.1239i	−0.553988	−	0.480033i
$538$	−11.6685	−	1.67767i	−0.503063	−	0.0723295i
$539$	−0.675140	−	12.7439i	−0.0290803	−	0.548917i
$540$	−0.0824037	+	0.280641i	−0.00354609	+	0.0120769i
$541$	3.39365	+	0.996466i	0.145904	+	0.0428414i	0.353869	−	0.935295i	$-0.384866\pi$
$541$	3.39365	+	0.996466i	0.145904	+	0.0428414i	−0.207965	+	0.978136i	$0.566684\pi$
$542$	−14.2158	+	6.49215i	−0.610622	+	0.278862i
$543$	5.45210	+	0.783893i	0.233972	+	0.0336401i
$544$	−0.738729	+	0.852538i	−0.0316727	+	0.0365523i
$545$	2.59710	+	1.18606i	0.111248	+	0.0508051i
$546$	6.83278	−	0.180865i	0.292416	−	0.00774033i
$547$	3.96179	+	27.5548i	0.169394	+	1.17816i	0.880141	+	0.474713i	$0.157448\pi$
$547$	3.96179	+	27.5548i	0.169394	+	1.17816i	−0.710747	+	0.703448i	$0.751643\pi$
$548$	1.82494	+	2.83966i	0.0779575	+	0.121304i
$549$	6.30483	+	7.27616i	0.269083	+	0.310539i
$550$	−2.52420	−	8.59663i	−0.107632	−	0.366561i
$551$	−14.5156			−0.618384
$552$	1.52428	−	4.54715i	0.0648778	−	0.193540i
$553$	−10.4141	−	15.2989i	−0.442854	−	0.650575i
$554$	2.63459	−	0.773586i	0.111933	−	0.0328665i
$555$	−0.881372	−	1.01716i	−0.0374122	−	0.0431759i
$556$	−5.74647	−	8.94169i	−0.243705	−	0.379212i
$557$	42.2197	−	6.07028i	1.78891	−	0.257206i	0.833504	−	0.552514i	$-0.186331\pi$
$557$	42.2197	−	6.07028i	1.78891	−	0.257206i	0.955402	+	0.295308i	$0.0954222\pi$
$558$	1.62269	−	2.52495i	0.0686939	−	0.106890i
$559$	−4.30528	+	9.42725i	−0.182094	+	0.398730i
$560$	0.0898238	−	0.768623i	0.00379575	−	0.0324802i
$561$	0.292683	−	2.03566i	0.0123571	−	0.0859455i
$562$	5.46256	−	2.49467i	0.230424	−	0.105231i
$563$	13.8977	+	4.08072i	0.585717	+	0.171982i	0.561147	−	0.827716i	$-0.310360\pi$
$563$	13.8977	+	4.08072i	0.585717	+	0.171982i	0.0245697	+	0.999698i	$0.492178\pi$
$564$	−8.96480	−	2.63230i	−0.377486	−	0.110840i
$565$	−4.32626	+	1.97574i	−0.182007	+	0.0831199i
$566$	−3.46580	+	24.1052i	−0.145678	+	1.01322i
$567$	−0.307101	+	2.62787i	−0.0128970	+	0.110360i
$568$	5.60567	−	12.2747i	0.235209	−	0.515035i
$569$	3.74887	−	5.83336i	0.157161	−	0.244547i	−0.753740	−	0.657173i	$-0.771752\pi$
$569$	3.74887	−	5.83336i	0.157161	−	0.244547i	0.910900	+	0.412626i	$0.135388\pi$
$570$	−0.934375	+	0.134343i	−0.0391367	+	0.00562700i
$571$	−1.40076	−	2.17963i	−0.0586200	−	0.0912145i	0.810706	−	0.585453i	$-0.199083\pi$
$571$	−1.40076	−	2.17963i	−0.0586200	−	0.0912145i	−0.869326	+	0.494238i	$0.835447\pi$
$572$	−3.08433	−	3.55950i	−0.128962	−	0.148830i
$573$	13.3741	−	3.92698i	0.558709	−	0.164052i
$574$	3.29333	+	4.83808i	0.137461	+	0.201938i
$575$	23.5520	+	0.891771i	0.982186	+	0.0371894i
$576$	−1.00000			−0.0416667
$577$	−5.75426	−	19.5972i	−0.239553	−	0.815842i	−0.988239	−	0.152918i	$-0.951133\pi$
$577$	−5.75426	−	19.5972i	−0.239553	−	0.815842i	0.748686	−	0.662925i	$-0.230685\pi$
$578$	10.2993	+	11.8860i	0.428394	+	0.494393i
$579$	10.6876	+	16.6302i	0.444162	+	0.691129i
$580$	0.187214	+	1.30211i	0.00777366	+	0.0540670i
$581$	20.3101	−	0.537614i	0.842605	−	0.0223040i
$582$	8.57458	+	3.91588i	0.355428	+	0.162318i
$583$	−13.6760	+	15.7829i	−0.566402	+	0.653663i
$584$	−5.51218	−	0.792532i	−0.228096	−	0.0327952i
$585$	−0.687347	+	0.313901i	−0.0284183	+	0.0129782i
$586$	6.00486	+	1.76319i	0.248059	+	0.0728366i
$587$	−6.75148	+	22.9934i	−0.278663	+	0.949040i	0.694609	+	0.719387i	$0.255577\pi$
$587$	−6.75148	+	22.9934i	−0.278663	+	0.949040i	−0.973273	+	0.229653i	$0.926241\pi$
$588$	−0.370324	−	6.99020i	−0.0152719	−	0.288271i
$589$	9.58822	+	1.37858i	0.395076	+	0.0568033i
$590$	−2.71601	−	2.35344i	−0.111816	−	0.0968894i
$591$	8.14958	+	3.72179i	0.335229	+	0.153094i
$592$	2.48776	−	3.87104i	0.102246	−	0.159099i
$593$	−26.1653	+	3.76201i	−1.07448	+	0.154487i	−0.656769	−	0.754092i	$-0.728077\pi$
$593$	−26.1653	+	3.76201i	−1.07448	+	0.154487i	−0.417713	+	0.908579i	$0.637168\pi$
$594$	1.53369	−	0.985644i	0.0629282	−	0.0404415i
$595$	0.843815	+	0.223692i	0.0345930	+	0.00917047i
$596$	−2.17600	−	7.41079i	−0.0891326	−	0.303558i
$597$			18.2977i			0.748876i
$598$	11.4568	−	4.71680i	0.468505	−	0.192884i
$599$	−12.4704			−0.509525			−0.254763	−	0.967004i	$-0.581997\pi$
$599$	−12.4704			−0.509525			−0.254763	+	0.967004i	$0.581997\pi$
$600$	−1.38456	−	4.71538i	−0.0565244	−	0.192505i
$601$	7.74456	−	6.71070i	0.315907	−	0.273735i	−0.482445	−	0.875926i	$-0.660251\pi$
$601$	7.74456	−	6.71070i	0.315907	−	0.273735i	0.798352	+	0.602191i	$0.205706\pi$
$602$	9.76788	+	4.15209i	0.398109	+	0.169226i
$603$	8.82976	−	1.26953i	0.359575	−	0.0516991i
$604$	−10.4306	−	6.70331i	−0.424413	−	0.272754i
$605$	−0.932703	+	2.04234i	−0.0379198	+	0.0830327i
$606$	10.4542	−	12.0648i	0.424673	−	0.490099i
$607$	22.8627	+	3.28717i	0.927970	+	0.133422i	0.589696	−	0.807626i	$-0.299248\pi$
$607$	22.8627	+	3.28717i	0.927970	+	0.133422i	0.338274	+	0.941048i	$0.390157\pi$
$608$	−1.34072	−	2.93576i	−0.0543732	−	0.119061i
$609$	3.65342	+	11.3248i	0.148044	+	0.458903i
$610$	2.70194	+	0.793361i	0.109398	+	0.0321223i
$611$	−10.0272	−	21.9566i	−0.405659	−	0.888269i
$612$	0.160541	−	1.11659i	0.00648949	−	0.0451354i
$613$	−28.2915	−	24.5147i	−1.14268	−	0.990140i	−1.00000		0.000371333i	$-0.999882\pi$
$613$	−28.2915	−	24.5147i	−1.14268	−	0.990140i	−0.142682	−	0.989769i	$-0.545573\pi$
$614$	−8.60944	−	3.93180i	−0.347449	−	0.158674i
$615$	−0.544299	−	0.349800i	−0.0219482	−	0.0141053i
$616$	−3.56048	+	3.25406i	−0.143456	+	0.131110i
$617$	−10.3746	−	16.1431i	−0.417664	−	0.649898i	0.567129	−	0.823629i	$-0.308054\pi$
$617$	−10.3746	−	16.1431i	−0.417664	−	0.649898i	−0.984793	+	0.173731i	$0.944418\pi$
$618$	−11.4875	+	9.95400i	−0.462096	+	0.400409i
$619$	−5.64355	+	1.65710i	−0.226834	+	0.0666044i	−0.393174	−	0.919464i	$-0.628623\pi$
$619$	−5.64355	+	1.65710i	−0.226834	+	0.0666044i	0.166341	+	0.986068i	$0.446805\pi$
$620$		−	0.877882i		−	0.0352566i
$621$	1.17607	+	4.64939i	0.0471939	+	0.186574i
$622$			11.6922i			0.468813i
$623$	−16.1228	+	19.6332i	−0.645945	+	0.786588i
$624$	−1.69180	−	1.95244i	−0.0677262	−	0.0781602i
$625$	19.9580	−	12.8262i	0.798318	−	0.513048i
$626$	−2.11146	−	14.6855i	−0.0843908	−	0.586951i
$627$	4.94986	+	3.18108i	0.197678	+	0.127040i
$628$	6.35883	−	13.9239i	0.253745	−	0.555624i
$629$	3.92297	+	3.39927i	0.156419	+	0.135538i
$630$	0.339984	+	0.695169i	0.0135453	+	0.0276962i
$631$	−21.8518	+	9.97938i	−0.869906	+	0.397273i	−0.799800	−	0.600267i	$-0.795061\pi$
$631$	−21.8518	+	9.97938i	−0.869906	+	0.397273i	−0.0701062	+	0.997540i	$0.522334\pi$
$632$	−1.97072	+	6.71166i	−0.0783910	+	0.266975i
$633$	1.02841	−	3.50243i	0.0408755	−	0.139209i
$634$	−1.70628	−	3.73624i	−0.0677651	−	0.148385i
$635$	−0.190400	+	1.32426i	−0.00755580	+	0.0525518i
$636$	−7.50149	+	8.65718i	−0.297454	+	0.343280i
$637$	13.0214	−	12.5491i	0.515928	−	0.497212i
$638$	4.43302	−	6.89791i	0.175505	−	0.273091i
$639$	1.92042	+	13.3568i	0.0759705	+	0.528386i
$640$	−0.246058	+	0.158132i	−0.00972628	+	0.00625070i
$641$	−37.3819	+	32.3916i	−1.47650	+	1.27939i	−0.598132	+	0.801398i	$0.704090\pi$
$641$	−37.3819	+	32.3916i	−1.47650	+	1.27939i	−0.878364	+	0.477993i	$0.841364\pi$
$642$	8.61134	−	2.52852i	0.339863	−	0.0997926i
$643$	37.1825			1.46634			0.733168	−	0.680048i	$-0.238041\pi$
$643$	37.1825			1.46634			0.733168	+	0.680048i	$0.238041\pi$
$644$	−5.13932	−	11.6012i	−0.202518	−	0.457151i
$645$	−1.17335			−0.0462007
$646$	3.49327	−	1.02572i	0.137441	−	0.0403563i
$647$	−22.9163	+	19.8571i	−0.900933	+	0.780663i	−0.976284	−	0.216494i	$-0.930538\pi$
$647$	−22.9163	+	19.8571i	−0.900933	+	0.780663i	0.0753509	+	0.997157i	$0.475992\pi$
$648$	0.841254	−	0.540641i	0.0330476	−	0.0212384i
$649$	3.18790	+	22.1724i	0.125136	+	0.870341i
$650$	6.86411	−	10.6808i	0.269232	−	0.418934i
$651$	−1.33771	−	7.82752i	−0.0524292	−	0.306785i
$652$	−13.4011	+	15.4657i	−0.524828	+	0.605683i
$653$	4.76595	−	33.1479i	0.186506	−	1.29718i	−0.654463	−	0.756094i	$-0.727105\pi$
$653$	4.76595	−	33.1479i	0.186506	−	1.29718i	0.840969	−	0.541084i	$-0.181986\pi$
$654$	−4.05505	−	8.87932i	−0.158565	−	0.347209i
$655$	0.303635	−	1.03408i	0.0118640	−	0.0404050i
$656$	0.623215	−	2.12247i	0.0243324	−	0.0828687i
$657$	5.06562	−	2.31339i	0.197629	−	0.0902540i
$658$	−22.2065	+	10.8605i	−0.865699	+	0.423385i
$659$	−15.9223	−	13.7968i	−0.620246	−	0.537446i	0.287062	−	0.957912i	$-0.407321\pi$
$659$	−15.9223	−	13.7968i	−0.620246	−	0.537446i	−0.907309	+	0.420465i	$0.861867\pi$
$660$	0.221515	−	0.485051i	0.00862247	−	0.0188806i
$661$	7.41650	+	4.76630i	0.288468	+	0.185387i	0.676870	−	0.736103i	$-0.263336\pi$
$661$	7.41650	+	4.76630i	0.288468	+	0.185387i	−0.388401	+	0.921490i	$0.626972\pi$
$662$	−0.263251	−	1.83095i	−0.0102315	−	0.0711619i
$663$	2.45168	−	1.57560i	0.0952152	−	0.0611911i
$664$	−5.02880	−	5.80354i	−0.195155	−	0.225221i
$665$	−1.58503	+	1.93014i	−0.0614647	+	0.0748475i
$666$			4.60151i			0.178305i
$667$	13.4982	+	16.8240i	0.522653	+	0.651429i
$668$		−	0.704778i		−	0.0272687i
$669$	11.2463	−	3.30222i	0.434808	−	0.127671i
$670$	1.97188	−	1.70864i	0.0761802	−	0.0660105i
$671$	−9.48952	−	14.7660i	−0.366339	−	0.570035i
$672$	−1.95298	+	1.78490i	−0.0753378	+	0.0688541i
$673$	−29.7376	−	19.1112i	−1.14630	−	0.736683i	−0.177401	−	0.984139i	$-0.556769\pi$
$673$	−29.7376	−	19.1112i	−1.14630	−	0.736683i	−0.968899	+	0.247456i	$0.920405\pi$
$674$	−20.6256	−	9.41939i	−0.794468	−	0.362821i
$675$	3.71409	+	3.21828i	0.142956	+	0.123872i
$676$	−0.900252	+	6.26139i	−0.0346251	+	0.240823i
$677$	7.91470	+	17.3308i	0.304187	+	0.666076i	0.998566	−	0.0535332i	$-0.0170483\pi$
$677$	7.91470	+	17.3308i	0.304187	+	0.666076i	−0.694379	+	0.719609i	$0.744321\pi$
$678$	15.6019	+	4.58115i	0.599189	+	0.175938i
$679$	23.7354	−	7.65715i	0.910882	−	0.293854i
$680$	−0.137065	−	0.300132i	−0.00525622	−	0.0115095i
$681$	13.2499	+	1.90504i	0.507736	+	0.0730014i
$682$	−3.58333	+	4.13538i	−0.137213	+	0.158352i
$683$	−17.9825	+	39.3762i	−0.688081	+	1.50669i	0.165767	+	0.986165i	$0.446990\pi$
$683$	−17.9825	+	39.3762i	−0.688081	+	1.50669i	−0.853848	+	0.520522i	$0.825737\pi$
$684$	2.71507	+	1.74487i	0.103813	+	0.0667168i
$685$	−0.977250	+	0.140507i	−0.0373388	+	0.00536851i
$686$	−13.2000	−	12.9907i	−0.503980	−	0.495988i
$687$	−17.0196	+	14.7475i	−0.649337	+	0.562653i
$688$	−1.13020	−	3.84911i	−0.0430885	−	0.146746i
$689$	−29.5937			−1.12743
$690$	1.02460	+	0.958046i	0.0390057	+	0.0364722i
$691$		−	19.2228i		−	0.731272i	−0.930758	−	0.365636i	$-0.880852\pi$
$691$		−	19.2228i		−	0.731272i	0.930758	−	0.365636i	$-0.119148\pi$
$692$	5.26871	+	17.9436i	0.200286	+	0.682112i
$693$	1.23599	−	4.66243i	0.0469514	−	0.177111i
$694$	14.5367	−	9.34216i	0.551805	−	0.354624i
$695$	3.07722	−	0.442438i	0.116726	−	0.0167826i
$696$	2.43158	−	3.78361i	0.0921687	−	0.143417i
$697$	2.26988	+	1.03662i	0.0859778	+	0.0392647i
$698$	3.48174	+	3.01695i	0.131786	+	0.114193i
$699$	8.80279	+	1.26565i	0.332952	+	0.0478713i
$700$	−11.1205	−	6.73773i	−0.420316	−	0.254662i
$701$	9.14124	−	31.1322i	0.345260	−	1.17585i	−0.585640	−	0.810571i	$-0.699157\pi$
$701$	9.14124	−	31.1322i	0.345260	−	1.17585i	0.930900	−	0.365275i	$-0.119025\pi$
$702$	2.47880	+	0.727842i	0.0935564	+	0.0274706i
$703$	−13.5089	+	6.16932i	−0.509499	+	0.232680i
$704$	1.80455	+	0.259455i	0.0680114	+	0.00977857i
$705$	1.78961	−	2.06532i	0.0674005	−	0.0777843i
$706$	−1.04556	−	0.477493i	−0.0393503	−	0.0179707i
$707$	−1.11763	−	42.2221i	−0.0420328	−	1.58792i
$708$	1.74861	+	12.1619i	0.0657169	+	0.457071i
$709$	−5.92865	−	9.22515i	−0.222655	−	0.346458i	0.711897	−	0.702283i	$-0.247836\pi$
$709$	−5.92865	−	9.22515i	−0.222655	−	0.346458i	−0.934552	+	0.355826i	$0.884200\pi$
$710$	2.58466	+	2.98286i	0.0970007	+	0.111945i
$711$	−1.97072	−	6.71166i	−0.0739078	−	0.251707i
$712$	9.60214			0.359855
$713$	−7.31839	−	12.3950i	−0.274076	−	0.464197i
$714$	−1.67947	−	2.46722i	−0.0628524	−	0.0923335i
$715$	1.32179	−	0.388113i	0.0494322	−	0.0145146i
$716$	11.1239	+	12.8377i	0.415721	+	0.479767i
$717$	13.1373	+	20.4420i	0.490621	+	0.763421i
$718$	11.7732	−	1.69274i	0.439373	−	0.0631723i
$719$	−18.6670	+	29.0464i	−0.696162	+	1.08325i	0.295620	+	0.955306i	$0.404474\pi$
$719$	−18.6670	+	29.0464i	−0.696162	+	1.08325i	−0.991781	+	0.127943i	$0.959162\pi$
$720$	0.121504	−	0.266058i	0.00452820	−	0.00991538i
$721$	−4.66799	+	39.9441i	−0.173845	+	1.48759i
$722$	1.22160	−	8.49643i	0.0454633	−	0.316204i
$723$	−15.0329	+	6.86531i	−0.559081	+	0.255324i
$724$	−5.28504	−	1.55183i	−0.196417	−	0.0576733i
$725$	21.2078	+	6.22718i	0.787639	+	0.231272i
$726$	6.98260	−	3.18885i	0.259149	−	0.118349i
$727$	−0.982118	+	6.83078i	−0.0364247	+	0.253340i	−0.999895	−	0.0144749i	$-0.995392\pi$
$727$	−0.982118	+	6.83078i	−0.0364247	+	0.253340i	0.963470	+	0.267814i	$0.0863014\pi$
$728$	−6.78897	−	0.793381i	−0.251616	−	0.0294047i
$729$	−0.415415	+	0.909632i	−0.0153857	+	0.0336901i
$730$	0.880614	−	1.37026i	0.0325930	−	0.0507157i
$731$	4.47932	−	0.644029i	0.165674	−	0.0238203i
$732$	−5.20515	−	8.09937i	−0.192388	−	0.299361i
$733$	−16.7151	−	19.2902i	−0.617386	−	0.712501i	0.357823	−	0.933790i	$-0.383519\pi$
$733$	−16.7151	−	19.2902i	−0.617386	−	0.712501i	−0.975208	+	0.221288i	$0.928974\pi$
$734$	−19.1156	+	5.61286i	−0.705571	+	0.207174i
$735$	1.90479	+	0.750812i	0.0702593	+	0.0276941i
$736$	−2.15589	+	4.28394i	−0.0794673	+	0.157908i
$737$	−16.2631			−0.599059
$738$	0.623215	+	2.12247i	0.0229409	+	0.0781294i
$739$	−30.6602	−	35.3837i	−1.12785	−	1.30161i	−0.948126	−	0.317894i	$-0.897024\pi$
$739$	−30.6602	−	35.3837i	−1.12785	−	1.30161i	−0.179726	−	0.983717i	$-0.557521\pi$
$740$	0.727644	+	1.13224i	0.0267487	+	0.0416218i
$741$	1.18660	+	8.25300i	0.0435909	+	0.303182i
$742$	0.801962	+	30.2967i	0.0294410	+	1.11223i
$743$	12.8539	+	5.87018i	0.471564	+	0.215356i	0.636999	−	0.770865i	$-0.280176\pi$
$743$	12.8539	+	5.87018i	0.471564	+	0.215356i	−0.165435	+	0.986221i	$0.552903\pi$
$744$	−1.96551	+	2.26832i	−0.0720591	+	0.0831606i
$745$	2.23609	+	0.321501i	0.0819240	+	0.0117789i
$746$	−22.7903	+	10.4080i	−0.834412	+	0.381063i
$747$	7.36812	+	2.16348i	0.269585	+	0.0791574i
$748$	−0.579408	+	1.97328i	−0.0211853	+	0.0721504i
$749$	12.3046	−	20.3085i	0.449601	−	0.742058i
$750$	2.87035	+	0.412694i	0.104810	+	0.0150695i
$751$	7.47462	+	6.47679i	0.272753	+	0.236342i	0.780487	−	0.625172i	$-0.214971\pi$
$751$	7.47462	+	6.47679i	0.272753	+	0.236342i	−0.507734	+	0.861514i	$0.669517\pi$
$752$	8.49894	+	3.88134i	0.309924	+	0.141538i
$753$	5.67503	−	8.83052i	0.206810	−	0.321802i
$754$	11.5010	−	1.65360i	0.418843	−	0.0602205i
$755$	3.05083	−	1.96065i	0.111031	−	0.0713552i
$756$	0.677960	−	2.55741i	0.0246572	−	0.0930123i
$757$	8.79498	+	29.9530i	0.319659	+	1.08866i	0.949977	+	0.312321i	$0.101107\pi$
$757$	8.79498	+	29.9530i	0.319659	+	1.08866i	−0.630318	+	0.776337i	$0.717075\pi$
$758$		−	18.0642i		−	0.656120i
$759$	−0.915959	−	8.69519i	−0.0332472	−	0.315615i
$760$	0.943984			0.0342419
$761$	−6.96007	−	23.7038i	−0.252302	−	0.859263i	−0.984081	−	0.177720i	$-0.943128\pi$
$761$	−6.96007	−	23.7038i	−0.252302	−	0.859263i	0.731779	−	0.681542i	$-0.238690\pi$
$762$	3.45689	−	2.99541i	0.125230	−	0.108512i
$763$	−23.7681	−	10.1033i	−0.860464	−	0.365763i
$764$	−13.7968	+	1.98368i	−0.499151	+	0.0717670i
$765$	0.277570	+	0.178384i	0.0100356	+	0.00644947i
$766$	7.46983	−	16.3567i	0.269896	−	0.590990i
$767$	−20.7870	+	23.9895i	−0.750577	+	0.866212i
$768$	0.989821	+	0.142315i	0.0357171	+	0.00513534i
$769$	−5.53142	−	12.1121i	−0.199468	−	0.436774i	0.783293	−	0.621652i	$-0.213538\pi$
$769$	−5.53142	−	12.1121i	−0.199468	−	0.436774i	−0.982761	+	0.184878i	$0.940811\pi$
$770$	−0.433153	−	1.34268i	−0.0156097	−	0.0483867i
$771$	0.522956	+	0.153554i	0.0188338	+	0.00553011i
$772$	−8.21209	−	17.9820i	−0.295560	−	0.647185i
$773$	2.03005	−	14.1193i	0.0730158	−	0.507836i	−0.920191	−	0.391470i	$-0.871967\pi$
$773$	2.03005	−	14.1193i	0.0730158	−	0.507836i	0.993206	−	0.116365i	$-0.0371244\pi$
$774$	3.03177	+	2.62705i	0.108975	+	0.0944273i
$775$	−13.4174	−	6.12750i	−0.481966	−	0.220106i
$776$	−7.93002	−	5.09631i	−0.284671	−	0.182947i
$777$	8.21324	+	8.98665i	0.294648	+	0.322394i
$778$	−0.137011	−	0.213193i	−0.00491206	−	0.00764332i
$779$	−5.39552	+	4.67524i	−0.193315	+	0.167508i
$780$	0.725023	−	0.212886i	0.0259600	−	0.00762254i
$781$		−	24.6012i		−	0.880301i
$782$	−4.43728	−	3.09499i	−0.158677	−	0.110677i
$783$			4.49759i			0.160731i
$784$	−0.628254	+	6.97175i	−0.0224376	+	0.248991i
$785$	2.93193	+	3.38363i	0.104645	+	0.120767i
$786$	−3.09978	+	1.99211i	−0.110566	+	0.0710562i
$787$	2.81045	+	19.5471i	0.100182	+	0.696779i	0.976574	+	0.215181i	$0.0690342\pi$
$787$	2.81045	+	19.5471i	0.100182	+	0.696779i	−0.876392	+	0.481598i	$0.840057\pi$
$788$	−7.53696	−	4.84371i	−0.268493	−	0.172550i
$789$	1.17666	−	2.57654i	0.0418904	−	0.0917271i
$790$	−1.54624	−	1.33982i	−0.0550126	−	0.0476687i
$791$	38.6472	−	18.9011i	1.37414	−	0.672044i
$792$	−1.65835	+	0.757345i	−0.0589270	+	0.0269111i
$793$	7.00747	−	23.8653i	0.248843	−	0.847480i
$794$	9.80314	−	33.3864i	0.347901	−	1.18484i
$795$	−1.39184	−	3.04771i	−0.0493636	−	0.108091i
$796$	2.60404	−	18.1115i	0.0922977	−	0.641944i
$797$	5.31973	−	6.13930i	0.188435	−	0.217465i	−0.653670	−	0.756780i	$-0.726771\pi$
$797$	5.31973	−	6.13930i	0.188435	−	0.217465i	0.842104	+	0.539315i	$0.181317\pi$
$798$	8.41691	−	1.43844i	0.297955	−	0.0509202i
$799$	−5.69828	+	8.86670i	−0.201591	+	0.313681i
$800$	0.699399	+	4.86443i	0.0247275	+	0.171984i
$801$	−8.07783	+	5.19131i	−0.285416	+	0.183426i
$802$	−13.8915	+	12.0371i	−0.490526	+	0.425043i
$803$	−9.74137	+	2.86032i	−0.343766	+	0.100939i
$804$	−8.92055			−0.314604
$805$	3.71103	+	0.0422399i	0.130797	+	0.00148876i
$806$	−7.75401			−0.273123
$807$	−11.3109	+	3.32119i	−0.398164	+	0.116911i
$808$	−12.0648	+	10.4542i	−0.424438	+	0.367778i
$809$	−25.5600	+	16.4264i	−0.898643	+	0.577523i	−0.906387	−	0.422447i	$-0.861171\pi$
$809$	−25.5600	+	16.4264i	−0.898643	+	0.577523i	0.00774472	+	0.999970i	$0.497535\pi$
$810$	0.0416256	+	0.289512i	0.00146257	+	0.0101724i
$811$	−9.74279	+	15.1601i	−0.342116	+	0.532343i	−0.969093	−	0.246695i	$-0.920655\pi$
$811$	−9.74279	+	15.1601i	−0.342116	+	0.532343i	0.626977	+	0.779037i	$0.284292\pi$
$812$	−2.00455	−	11.7294i	−0.0703459	−	0.411623i
$813$	−10.2342	+	11.8109i	−0.358930	+	0.414228i
$814$	1.19388	−	8.30364i	0.0418456	−	0.291043i
$815$	−2.48647	−	5.44461i	−0.0870973	−	0.190716i
$816$	−0.317814	+	1.08238i	−0.0111257	+	0.0378907i
$817$	−3.64763	+	12.4227i	−0.127614	+	0.434615i
$818$	22.1660	−	10.1229i	0.775015	−	0.353938i
$819$	6.14018	−	3.00296i	0.214555	−	0.104932i
$820$	0.488977	+	0.423701i	0.0170758	+	0.0147963i
$821$	7.30553	−	15.9969i	0.254965	−	0.558295i	−0.738258	−	0.674518i	$-0.764351\pi$
$821$	7.30553	−	15.9969i	0.254965	−	0.558295i	0.993223	+	0.116223i	$0.0370787\pi$
$822$	2.83966	+	1.82494i	0.0990444	+	0.0636520i
$823$	−2.28875	−	15.9186i	−0.0797807	−	0.554887i	−0.990033	−	0.140834i	$-0.955022\pi$
$823$	−2.28875	−	15.9186i	−0.0797807	−	0.554887i	0.910253	−	0.414054i	$-0.135887\pi$
$824$	12.7872	−	8.21784i	0.445463	−	0.286282i
$825$	−5.86726	−	6.77118i	−0.204272	−	0.235742i
$826$	25.1227	+	20.6308i	0.874132	+	0.717837i
$827$		−	16.0287i		−	0.557371i	−0.960382	−	0.278686i	$-0.910101\pi$
$827$		−	16.0287i		−	0.557371i	0.960382	−	0.278686i	$-0.0898988\pi$
$828$	−0.502417	−	4.76944i	−0.0174602	−	0.165750i
$829$			48.7542i			1.69330i	0.532146	+	0.846652i	$0.321386\pi$
$829$			48.7542i			1.69330i	−0.532146	+	0.846652i	$0.678614\pi$
$830$	2.15510	−	0.632793i	0.0748045	−	0.0219646i
$831$	2.07515	−	1.79813i	0.0719862	−	0.0623764i
$832$	1.39672	+	2.17334i	0.0484225	+	0.0753469i
$833$	−7.68371	−	1.82075i	−0.266225	−	0.0630854i
$834$	−8.94169	−	5.74647i	−0.309625	−	0.198984i
$835$	0.187511	+	0.0856336i	0.00648910	+	0.00296347i
$836$	−4.44676	−	3.85314i	−0.153795	−	0.133264i
$837$	0.427146	−	2.97087i	0.0147643	−	0.102688i
$838$	−7.06330	−	15.4665i	−0.243998	−	0.534280i
$839$	31.1739	+	9.15348i	1.07624	+	0.316013i	0.771375	−	0.636381i	$-0.219570\pi$
$839$	31.1739	+	9.15348i	1.07624	+	0.316013i	0.304868	+	0.952395i	$0.401388\pi$
$840$	−0.237591	−	0.736478i	−0.00819767	−	0.0254109i
$841$	−3.64391	−	7.97904i	−0.125652	−	0.275139i
$842$	10.3373	+	1.48628i	0.356248	+	0.0512207i
$843$	3.93260	−	4.53846i	0.135446	−	0.156313i
$844$	−1.51639	+	3.32043i	−0.0521962	+	0.114294i
$845$	−1.55651	−	1.00031i	−0.0535454	−	0.0344116i
$846$	−9.24817	+	1.32969i	−0.317959	+	0.0457156i
$847$	7.94510	−	18.6910i	0.272997	−	0.642231i
$848$	8.65718	−	7.50149i	0.297289	−	0.257602i
$849$	6.86105	+	23.3666i	0.235471	+	0.801939i
$850$	−5.54384			−0.190152
$851$	19.7126	+	9.92037i	0.675739	+	0.340066i
$852$		−	13.4941i		−	0.462302i
$853$	−10.5840	−	36.0460i	−0.362391	−	1.23419i	−0.915920	−	0.401361i	$-0.868537\pi$
$853$	−10.5840	−	36.0460i	−0.362391	−	1.23419i	0.553529	−	0.832830i	$-0.313281\pi$
$854$	−24.6221	−	6.52722i	−0.842551	−	0.223357i
$855$	−0.794130	+	0.510356i	−0.0271587	+	0.0174538i
$856$	−8.88354	+	1.27726i	−0.303633	+	0.0436558i
$857$	−18.1078	+	28.1763i	−0.618550	+	0.962483i	0.380735	+	0.924684i	$0.375671\pi$
$857$	−18.1078	+	28.1763i	−0.618550	+	0.962483i	−0.999285	+	0.0377990i	$0.987965\pi$
$858$	−4.28428	−	1.95656i	−0.146263	−	0.0667960i
$859$	−12.8017	−	11.0928i	−0.436790	−	0.378481i	0.408527	−	0.912746i	$-0.366043\pi$
$859$	−12.8017	−	11.0928i	−0.436790	−	0.378481i	−0.845317	+	0.534266i	$0.820588\pi$
$860$	1.16141	+	0.166986i	0.0396038	+	0.00569416i
$861$	5.00553	+	3.03277i	0.170588	+	0.103357i
$862$	4.40131	−	14.9895i	0.149909	−	0.510544i
$863$	−10.6501	−	3.12715i	−0.362534	−	0.106450i	0.0953924	−	0.995440i	$-0.469589\pi$
$863$	−10.6501	−	3.12715i	−0.362534	−	0.106450i	−0.457926	+	0.888990i	$0.651408\pi$
$864$	−0.909632	+	0.415415i	−0.0309463	+	0.0141327i
$865$	−5.41419	−	0.778443i	−0.184088	−	0.0264679i
$866$	−6.51982	+	7.52427i	−0.221553	+	0.255685i
$867$	14.3062	+	6.53342i	0.485864	+	0.221887i
$868$	0.210127	+	7.93822i	0.00713217	+	0.269441i
$869$	1.81489	+	12.6228i	0.0615658	+	0.428200i
$870$	0.711210	+	1.10666i	0.0241123	+	0.0375195i
$871$	−15.0918	−	17.4169i	−0.511366	−	0.590148i
$872$	2.75012	+	9.36603i	0.0931307	+	0.317174i
$873$	9.42643			0.319036
$874$	13.3283	−	7.86944i	0.450838	−	0.266188i
$875$	6.34236	−	4.31731i	0.214411	−	0.145952i
$876$	−5.34329	+	1.56893i	−0.180533	+	0.0530093i
$877$	−15.8408	−	18.2813i	−0.534906	−	0.617314i	0.422394	−	0.906412i	$-0.361190\pi$
$877$	−15.8408	−	18.2813i	−0.534906	−	0.617314i	−0.957299	+	0.289098i	$0.906645\pi$
$878$	14.5371	+	22.6202i	0.490604	+	0.763395i
$879$	6.19467	−	0.890659i	0.208941	−	0.0300412i
$880$	−0.288290	+	0.448589i	−0.00971826	+	0.0151219i
$881$	12.0035	−	26.2840i	0.404408	−	0.885531i	−0.592396	−	0.805647i	$-0.701818\pi$
$881$	12.0035	−	26.2840i	0.404408	−	0.885531i	0.996804	−	0.0798836i	$-0.0254549\pi$
$882$	−3.24069	−	6.20467i	−0.109120	−	0.208922i
$883$	3.70723	−	25.7843i	0.124758	−	0.867712i	−0.827292	−	0.561772i	$-0.810120\pi$
$883$	3.70723	−	25.7843i	0.124758	−	0.867712i	0.952051	−	0.305941i	$-0.0989709\pi$
$884$	−2.65095	+	1.21065i	−0.0891612	+	0.0407186i
$885$	−3.44822	−	1.01249i	−0.115911	−	0.0340345i
$886$	15.8503	+	4.65408i	0.532502	+	0.156357i
$887$	34.8505	−	15.9157i	1.17016	−	0.534396i	0.267002	−	0.963696i	$-0.413967\pi$
$887$	34.8505	−	15.9157i	1.17016	−	0.534396i	0.903162	+	0.429300i	$0.141240\pi$
$888$	0.654863	−	4.55467i	0.0219758	−	0.152845i
$889$	1.40472	−	12.0202i	0.0471127	−	0.403144i
$890$	−1.16670	+	2.55472i	−0.0391079	+	0.0856344i
$891$	0.985644	−	1.53369i	0.0330203	−	0.0513806i
$892$	−11.6018	+	1.66809i	−0.388457	+	0.0558517i
$893$	−16.3028	−	25.3677i	−0.545553	−	0.848897i
$894$	−5.05791	−	5.83714i	−0.169162	−	0.195223i
$895$	−4.76717	+	1.39977i	−0.159349	+	0.0467891i
$896$	2.18712	−	1.48880i	0.0730665	−	0.0497372i
$897$	8.46207	−	9.04989i	0.282540	−	0.302167i
$898$	−10.7340			−0.358199
$899$	−3.80314	−	12.9523i	−0.126842	−	0.431984i
$900$	−3.21828	−	3.71409i	−0.107276	−	0.123803i
$901$	6.98624	+	10.8708i	0.232745	+	0.362159i
$902$	−0.573934	−	3.99180i	−0.0191099	−	0.132912i
$903$	10.6100	−	0.280850i	0.353079	−	0.00934610i
$904$	−14.7912	−	6.75491i	−0.491947	−	0.224665i
$905$	1.05503	−	1.21757i	0.0350704	−	0.0404734i
$906$	−12.2726	−	1.76454i	−0.407731	−	0.0586228i
$907$	27.5491	−	12.5812i	0.914752	−	0.417753i	0.0982933	−	0.995157i	$-0.468662\pi$
$907$	27.5491	−	12.5812i	0.914752	−	0.417753i	0.816458	+	0.577404i	$0.195934\pi$
$908$	−12.8439	−	3.77131i	−0.426240	−	0.125155i
$909$	4.49759	−	15.3174i	0.149176	−	0.508045i
$910$	1.03597	−	1.70986i	0.0343422	−	0.0566812i
$911$	14.1074	+	2.02834i	0.467399	+	0.0672018i	0.371991	−	0.928236i	$-0.378675\pi$
$911$	14.1074	+	2.02834i	0.467399	+	0.0672018i	0.0954081	+	0.995438i	$0.469584\pi$
$912$	−2.43912	−	2.11351i	−0.0807672	−	0.0699852i
$913$	−12.7348	−	5.81579i	−0.421460	−	0.192475i
$914$	10.6616	−	16.5898i	0.352656	−	0.548743i
$915$	2.78735	−	0.400760i	0.0921468	−	0.0132487i
$916$	18.9451	−	12.1753i	0.625964	−	0.402283i
$917$	−2.49809	+	9.42336i	−0.0824943	+	0.311187i
$918$	−0.317814	−	1.08238i	−0.0104894	−	0.0357237i
$919$			34.9053i			1.15142i	0.817654	+	0.575709i	$0.195274\pi$
$919$			34.9053i			1.15142i	−0.817654	+	0.575709i	$0.804726\pi$
$920$	−0.877823	−	1.09411i	−0.0289410	−	0.0360717i
$921$	−9.46475			−0.311874
$922$	−5.20494	−	17.7264i	−0.171415	−	0.583788i
$923$	26.3465	−	22.8294i	0.867207	−	0.751439i
$924$	−1.88694	+	4.43908i	−0.0620759	+	0.146035i
$925$	22.3837	−	3.21829i	0.735972	−	0.105817i
$926$	0.977174	+	0.627991i	0.0321119	+	0.0206371i
$927$	−6.31438	+	13.8266i	−0.207392	+	0.454124i
$928$	−2.94529	+	3.39905i	−0.0966839	+	0.111579i
$929$	3.24207	+	0.466140i	0.106369	+	0.0152936i	0.195294	−	0.980745i	$-0.437434\pi$
$929$	3.24207	+	0.466140i	0.106369	+	0.0152936i	−0.0889248	+	0.996038i	$0.528343\pi$
$930$	−0.364685	−	0.798549i	−0.0119585	−	0.0261855i
$931$	13.8706	−	17.8326i	0.454589	−	0.584440i
$932$	−8.53307	−	2.50554i	−0.279510	−	0.0820716i
$933$	4.85709	+	10.6356i	0.159014	+	0.348192i
$934$	−0.0993028	+	0.690666i	−0.00324929	+	0.0225993i
$935$	−0.454606	−	0.393918i	−0.0148672	−	0.0128825i
$936$	−2.34999	−	1.07320i	−0.0768118	−	0.0350788i
$937$	−10.2199	−	6.56793i	−0.333870	−	0.214565i	0.362955	−	0.931807i	$-0.381768\pi$
$937$	−10.2199	−	6.56793i	−0.333870	−	0.214565i	−0.696824	+	0.717242i	$0.745404\pi$
$938$	−17.4217	+	15.9223i	−0.568837	+	0.519882i
$939$	−8.02123	−	12.4813i	−0.261763	−	0.407311i
$940$	−2.06532	+	1.78961i	−0.0673632	+	0.0583706i
$941$	−23.6511	+	6.94460i	−0.771005	+	0.226387i	−0.643495	−	0.765450i	$-0.722516\pi$
$941$	−23.6511	+	6.94460i	−0.771005	+	0.226387i	−0.127509	+	0.991837i	$0.540698\pi$
$942$		−	15.3072i		−	0.498735i
$943$	10.4361	+	1.90602i	0.339847	+	0.0620685i
$944$		−	12.2869i		−	0.399906i
$945$	0.598044	+	0.491113i	0.0194544	+	0.0159759i
$946$	−4.78938	−	5.52724i	−0.155716	−	0.179706i
$947$	26.9446	−	17.3162i	0.875581	−	0.562702i	−0.0238741	−	0.999715i	$-0.507600\pi$
$947$	26.9446	−	17.3162i	0.875581	−	0.562702i	0.899455	+	0.437013i	$0.143964\pi$
$948$	0.995493	+	6.92380i	0.0323321	+	0.224875i
$949$	−12.1030	−	7.77814i	−0.392881	−	0.252489i
$950$	6.58888	−	14.4276i	0.213772	−	0.468095i
$951$	−3.10418	−	2.68979i	−0.100660	−	0.0872223i
$952$	1.31125	+	2.68112i	0.0424978	+	0.0868957i
$953$	16.2380	−	7.41565i	0.526001	−	0.240217i	−0.134672	−	0.990890i	$-0.542998\pi$
$953$	16.2380	−	7.41565i	0.526001	−	0.240217i	0.660673	+	0.750674i	$0.270271\pi$
$954$	−3.22727	+	10.9911i	−0.104487	+	0.355849i
$955$	1.14860	−	3.91177i	0.0371678	−	0.126582i
$956$	−10.0944	−	22.1036i	−0.326475	−	0.714881i
$957$	1.16692	−	8.11611i	0.0377212	−	0.262356i
$958$	15.3680	−	17.7356i	0.496517	−	0.573012i
$959$	8.80313	−	1.50445i	0.284268	−	0.0485811i
$960$	−0.158132	+	0.246058i	−0.00510368	+	0.00794147i
$961$	−3.12972	−	21.7677i	−0.100959	−	0.702182i
$962$	10.0006	−	6.42702i	0.322433	−	0.207215i
$963$	6.78277	−	5.87730i	0.218572	−	0.189393i
$964$	15.8570	−	4.65602i	0.510718	−	0.149960i
$965$	5.78205			0.186131
$966$	−9.49419	−	8.41785i	−0.305471	−	0.270840i
$967$	26.8680			0.864016			0.432008	−	0.901870i	$-0.357805\pi$
$967$	26.8680			0.864016			0.432008	+	0.901870i	$0.357805\pi$
$968$	−7.36535	+	2.16266i	−0.236731	+	0.0695106i
$969$	2.75149	−	2.38418i	0.0883907	−	0.0765910i
$970$	2.31944	−	1.49062i	0.0744729	−	0.0478608i
$971$	3.41051	+	23.7206i	0.109448	+	0.761231i	0.968441	+	0.249243i	$0.0801817\pi$
$971$	3.41051	+	23.7206i	0.109448	+	0.761231i	−0.858993	+	0.511988i	$0.828909\pi$
$972$	0.540641	−	0.841254i	0.0173411	−	0.0269832i
$973$	−27.7198	+	4.73729i	−0.888656	+	0.151870i
$974$	−25.7578	+	29.7261i	−0.825333	+	0.952485i
$975$	1.80686	−	12.5670i	0.0578659	−	0.402467i
$976$	3.99951	+	8.75770i	0.128021	+	0.280327i
$977$	−10.3707	+	35.3195i	−0.331789	+	1.12997i	0.609617	+	0.792696i	$0.291323\pi$
$977$	−10.3707	+	35.3195i	−0.331789	+	1.12997i	−0.941407	+	0.337274i	$0.890495\pi$
$978$	−5.76539	+	19.6351i	−0.184357	+	0.627862i
$979$	15.9237	−	7.27213i	0.508925	−	0.232418i
$980$	−1.77855	−	1.01425i	−0.0568137	−	0.0323990i
$981$	−7.37720	−	6.39238i	−0.235536	−	0.204093i
$982$	1.35678	−	2.97093i	0.0432965	−	0.0948062i
$983$	30.2811	+	19.4605i	0.965817	+	0.620693i	0.925602	−	0.378498i	$-0.123559\pi$
$983$	30.2811	+	19.4605i	0.965817	+	0.620693i	0.0402152	+	0.999191i	$0.487196\pi$
$984$	−0.314812	−	2.18956i	−0.0100358	−	0.0698007i
$985$	2.20448	−	1.41673i	0.0702406	−	0.0451409i
$986$	−3.32250	−	3.83436i	−0.105810	−	0.122111i
$987$	−15.6881	+	19.1039i	−0.499359	+	0.608085i
$988$		−	8.33787i		−	0.265263i
$989$	17.7903	−	7.32429i	0.565698	−	0.232899i
$990$		−	0.533238i		−	0.0169474i
$991$	−13.2865	+	3.90127i	−0.422060	+	0.123928i	−0.485864	−	0.874034i	$-0.661495\pi$
$991$	−13.2865	+	3.90127i	−0.422060	+	0.123928i	0.0638039	+	0.997962i	$0.479677\pi$
$992$	2.26832	−	1.96551i	0.0720192	−	0.0624050i
$993$	−1.00007	−	1.55613i	−0.0317361	−	0.0493824i
$994$	−24.0857	−	26.3538i	−0.763952	−	0.835891i
$995$	4.50229	+	2.89345i	0.142732	+	0.0917285i
$996$	−6.98523	−	3.19005i	−0.221335	−	0.101081i
$997$	−21.1762	−	18.3493i	−0.670658	−	0.581128i	0.251540	−	0.967847i	$-0.419063\pi$
$997$	−21.1762	−	18.3493i	−0.670658	−	0.581128i	−0.922198	+	0.386719i	$0.873608\pi$
$998$	0.772796	−	5.37491i	0.0244624	−	0.170140i
$999$	1.91154	+	4.18568i	0.0604783	+	0.132429i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.s.a.727.5	yes	160
7.6	odd	2	inner	966.2.s.a.727.12	yes	160
23.5	odd	22	inner	966.2.s.a.97.12	yes	160
161.97	even	22	inner	966.2.s.a.97.5	✓	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.s.a.97.5	✓	160	161.97	even	22	inner
966.2.s.a.97.12	yes	160	23.5	odd	22	inner
966.2.s.a.727.5	yes	160	1.1	even	1	trivial
966.2.s.a.727.12	yes	160	7.6	odd	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.s (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.959493 + 0.281733i) q^{2} +(-0.755750 + 0.654861i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.0416256 + 0.289512i) q^{5} +(0.540641 - 0.841254i) q^{6} +(-0.445694 - 2.60794i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.142315 - 0.989821i) q^{9} +O(q^{10})\)	\(q+(-0.959493 + 0.281733i) q^{2} +(-0.755750 + 0.654861i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.0416256 + 0.289512i) q^{5} +(0.540641 - 0.841254i) q^{6} +(-0.445694 - 2.60794i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.142315 - 0.989821i) q^{9} +(-0.121504 - 0.266058i) q^{10} +(-0.513628 + 1.74926i) q^{11} +(-0.281733 + 0.959493i) q^{12} +(-2.34999 + 1.07320i) q^{13} +(1.16238 + 2.37673i) q^{14} +(-0.221049 - 0.191540i) q^{15} +(0.415415 - 0.909632i) q^{16} +(0.948993 + 0.609881i) q^{17} +(0.142315 + 0.989821i) q^{18} +(-2.71507 + 1.74487i) q^{19} +(0.191540 + 0.221049i) q^{20} +(2.04467 + 1.67908i) q^{21} -1.82310i q^{22} +(4.54715 + 1.52428i) q^{23} -1.00000i q^{24} +(4.71538 - 1.38456i) q^{25} +(1.95244 - 1.69180i) q^{26} +(0.540641 + 0.841254i) q^{27} +(-1.78490 - 1.95298i) q^{28} +(3.78361 + 2.43158i) q^{29} +(0.266058 + 0.121504i) q^{30} +(-2.26832 - 1.96551i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(-0.757345 - 1.65835i) q^{33} +(-1.08238 - 0.317814i) q^{34} +(0.736478 - 0.237591i) q^{35} +(-0.415415 - 0.909632i) q^{36} +(4.55467 + 0.654863i) q^{37} +(2.11351 - 2.43912i) q^{38} +(1.07320 - 2.34999i) q^{39} +(-0.246058 - 0.158132i) q^{40} +(2.18956 - 0.314812i) q^{41} +(-2.43490 - 1.03502i) q^{42} +(3.03177 - 2.62705i) q^{43} +(0.513628 + 1.74926i) q^{44} +0.292489 q^{45} +(-4.79240 - 0.181459i) q^{46} +9.34327i q^{47} +(0.281733 + 0.959493i) q^{48} +(-6.60271 + 2.32469i) q^{49} +(-4.13430 + 2.65695i) q^{50} +(-1.11659 + 0.160541i) q^{51} +(-1.39672 + 2.17334i) q^{52} +(10.4199 + 4.75862i) q^{53} +(-0.755750 - 0.654861i) q^{54} +(-0.527811 - 0.0758877i) q^{55} +(2.26282 + 1.37100i) q^{56} +(0.909268 - 3.09668i) q^{57} +(-4.31540 - 1.26712i) q^{58} +(11.1766 - 5.10418i) q^{59} +(-0.289512 - 0.0416256i) q^{60} +(-6.30483 + 7.27616i) q^{61} +(2.73018 + 1.24683i) q^{62} +(-2.64482 + 0.0700092i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(-0.408525 - 0.635678i) q^{65} +(1.19388 + 1.37781i) q^{66} +(2.51321 + 8.55921i) q^{67} +1.12807 q^{68} +(-4.43470 + 1.82577i) q^{69} +(-0.639708 + 0.435457i) q^{70} +(-12.9475 + 3.80174i) q^{71} +(0.654861 + 0.755750i) q^{72} +(3.01076 + 4.68483i) q^{73} +(-4.55467 + 0.654863i) q^{74} +(-2.65695 + 4.13430i) q^{75} +(-1.34072 + 2.93576i) q^{76} +(4.79088 + 0.559877i) q^{77} +(-0.367663 + 2.55716i) q^{78} +(6.36288 - 2.90583i) q^{79} +(0.280641 + 0.0824037i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-2.01218 + 0.918931i) q^{82} +(-1.09286 + 7.60102i) q^{83} +(2.62787 + 0.307101i) q^{84} +(-0.137065 + 0.300132i) q^{85} +(-2.16884 + 3.37478i) q^{86} +(-4.45181 + 0.640073i) q^{87} +(-0.985644 - 1.53369i) q^{88} +(-6.28806 - 7.25681i) q^{89} +(-0.280641 + 0.0824037i) q^{90} +(3.84623 + 5.65031i) q^{91} +(4.64939 - 1.17607i) q^{92} +3.00142 q^{93} +(-2.63230 - 8.96480i) q^{94} +(-0.618178 - 0.713415i) q^{95} +(-0.540641 - 0.841254i) q^{96} +(1.34152 + 9.33048i) q^{97} +(5.68032 - 4.09072i) q^{98} +(1.65835 + 0.757345i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9}+O(q^{10}) \) 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9	\( 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9} - 22 q^{14} - 16 q^{16} + 16 q^{18} - 36 q^{23} + 96 q^{25} + 22 q^{28} - 20 q^{29} - 16 q^{32} - 50 q^{35} + 16 q^{36} + 22 q^{37} + 4 q^{39} - 110 q^{43} + 8 q^{46} - 36 q^{50} + 22 q^{51} - 88 q^{53} + 22 q^{57} + 24 q^{58} - 16 q^{64} - 72 q^{70} + 48 q^{71} + 16 q^{72} - 22 q^{74} + 24 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} + 22 q^{84} + 76 q^{85} + 44 q^{86} - 44 q^{88} + 8 q^{92} - 14 q^{95} + 22 q^{98} - 22 q^{99}+O(q^{100}) \) 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9 - 22 * q^14 - 16 * q^16 + 16 * q^18 - 36 * q^23 + 96 * q^25 + 22 * q^28 - 20 * q^29 - 16 * q^32 - 50 * q^35 + 16 * q^36 + 22 * q^37 + 4 * q^39 - 110 * q^43 + 8 * q^46 - 36 * q^50 + 22 * q^51 - 88 * q^53 + 22 * q^57 + 24 * q^58 - 16 * q^64 - 72 * q^70 + 48 * q^71 + 16 * q^72 - 22 * q^74 + 24 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 + 22 * q^84 + 76 * q^85 + 44 * q^86 - 44 * q^88 + 8 * q^92 - 14 * q^95 + 22 * q^98 - 22 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more