LMFDB - Embedded newform 966.2.be.b.493.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(19,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([0, 55, 45]))

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

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

chi := DirichletCharacter("966.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.be (of order $66$, degree $20$, 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:	$320$
Relative dimension:	$16$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			493.16
Character	$\chi$	$=$	966.493
Dual form			966.2.be.b.145.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.327068 + 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(4.33982 - 0.414402i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-0.705154 + 2.55005i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})$	\(q+(-0.327068 + 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(4.33982 - 0.414402i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-0.705154 + 2.55005i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-1.02780 + 4.23667i) q^{10} +(-1.85716 + 0.642768i) q^{11} +(0.189251 - 0.981929i) q^{12} +(0.782667 + 2.66552i) q^{13} +(-2.17917 - 1.50041i) q^{14} +(2.35696 + 3.66749i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-2.37027 - 0.948913i) q^{17} +(-0.580057 - 0.814576i) q^{18} +(-4.71457 + 1.88743i) q^{19} +(-3.66749 - 2.35696i) q^{20} +(-2.58970 + 0.541735i) q^{21} -1.96524i q^{22} +(-2.66046 + 3.99023i) q^{23} +(0.866025 + 0.500000i) q^{24} +(13.7526 - 2.65060i) q^{25} +(-2.77490 - 0.132185i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(2.13063 - 1.56858i) q^{28} +(-0.347067 - 2.41391i) q^{29} +(-4.23667 + 1.02780i) q^{30} +(9.27656 - 0.441897i) q^{31} +(-0.995472 - 0.0950560i) q^{32} +(-1.42231 - 1.35617i) q^{33} +(1.67196 - 1.92955i) q^{34} +(-2.00349 + 11.3590i) q^{35} +(0.959493 - 0.281733i) q^{36} +(-1.15203 - 0.820359i) q^{37} +(-0.241637 - 5.07259i) q^{38} +(-2.01057 + 1.91707i) q^{39} +(3.42684 - 2.69490i) q^{40} +(6.95309 + 3.17537i) q^{41} +(0.335066 - 2.62445i) q^{42} +(-6.85668 + 10.6692i) q^{43} +(1.85716 + 0.642768i) q^{44} +(-2.17978 + 3.77549i) q^{45} +(-2.90062 - 3.81922i) q^{46} +(11.4970 - 6.63778i) q^{47} +(-0.755750 + 0.654861i) q^{48} +(-6.00552 - 3.59636i) q^{49} +(-1.99323 + 13.8632i) q^{50} +(-0.242693 - 2.54160i) q^{51} +(1.03250 - 2.57905i) q^{52} +(2.49326 + 2.61485i) q^{53} +(0.458227 - 0.888835i) q^{54} +(-7.79336 + 3.55911i) q^{55} +(0.785448 + 2.52647i) q^{56} +(-3.83796 - 3.32561i) q^{57} +(2.39466 + 0.461532i) q^{58} +(9.61047 + 2.33147i) q^{59} +(0.414402 - 4.33982i) q^{60} +(-5.61413 - 2.89429i) q^{61} +(-2.61647 + 8.91088i) q^{62} +(-1.66818 - 2.05358i) q^{63} +(0.415415 - 0.909632i) q^{64} +(4.50123 + 11.2435i) q^{65} +(1.74678 - 0.900527i) q^{66} +(-2.25265 - 11.6878i) q^{67} +(1.27658 + 2.21110i) q^{68} +(-4.76575 - 0.536284i) q^{69} +(-10.0790 - 5.60846i) q^{70} +(-6.03314 - 6.96261i) q^{71} +(-0.0475819 + 0.998867i) q^{72} +(4.58690 - 5.83272i) q^{73} +(1.15203 - 0.820359i) q^{74} +(8.65778 + 11.0093i) q^{75} +(4.87263 + 1.43073i) q^{76} +(-0.329510 - 5.18910i) q^{77} +(-1.15404 - 2.52700i) q^{78} +(-0.301813 + 0.316532i) q^{79} +(1.42587 + 4.11979i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-5.27486 + 5.53212i) q^{82} +(2.84760 + 6.23536i) q^{83} +(2.37052 + 1.17501i) q^{84} +(-10.6798 - 3.13587i) q^{85} +(-7.83981 - 9.96913i) q^{86} +(1.98653 - 1.41460i) q^{87} +(-1.21483 + 1.54479i) q^{88} +(0.375556 - 7.88390i) q^{89} +(-2.85490 - 3.29473i) q^{90} +(-7.34911 + 0.116240i) q^{91} +(4.55786 - 1.49194i) q^{92} +(4.64354 + 8.04284i) q^{93} +(2.51242 + 13.0357i) q^{94} +(-19.6782 + 10.1448i) q^{95} +(-0.371662 - 0.928368i) q^{96} +(-2.91743 + 6.38828i) q^{97} +(5.36277 - 4.49897i) q^{98} +(0.553673 - 1.88564i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9}+O(q^{10}) $ 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9	$ 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9} + 22 q^{14} + 16 q^{16} - 66 q^{17} - 16 q^{18} + 36 q^{23} + 24 q^{25} + 12 q^{26} + 44 q^{28} + 8 q^{29} - 48 q^{31} + 16 q^{32} - 46 q^{35} + 32 q^{36} - 22 q^{37} + 66 q^{38} + 8 q^{39} + 176 q^{43} - 8 q^{46} + 120 q^{47} - 24 q^{49} - 48 q^{50} - 22 q^{51} - 12 q^{52} - 44 q^{53} + 44 q^{57} + 18 q^{58} + 12 q^{59} - 32 q^{64} - 108 q^{70} - 48 q^{71} - 16 q^{72} + 252 q^{73} + 22 q^{74} - 36 q^{75} - 42 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 12 q^{82} - 22 q^{84} - 76 q^{85} + 22 q^{86} + 24 q^{87} - 22 q^{88} + 16 q^{92} + 12 q^{94} + 26 q^{95} + 2 q^{98} + 88 q^{99}+O(q^{100}) $ 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9 + 22 * q^14 + 16 * q^16 - 66 * q^17 - 16 * q^18 + 36 * q^23 + 24 * q^25 + 12 * q^26 + 44 * q^28 + 8 * q^29 - 48 * q^31 + 16 * q^32 - 46 * q^35 + 32 * q^36 - 22 * q^37 + 66 * q^38 + 8 * q^39 + 176 * q^43 - 8 * q^46 + 120 * q^47 - 24 * q^49 - 48 * q^50 - 22 * q^51 - 12 * q^52 - 44 * q^53 + 44 * q^57 + 18 * q^58 + 12 * q^59 - 32 * q^64 - 108 * q^70 - 48 * q^71 - 16 * q^72 + 252 * q^73 + 22 * q^74 - 36 * q^75 - 42 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 12 * q^82 - 22 * q^84 - 76 * q^85 + 22 * q^86 + 24 * q^87 - 22 * q^88 + 16 * q^92 + 12 * q^94 + 26 * q^95 + 2 * q^98 + 88 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

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 $

$2$	−0.327068	+	0.945001i	−0.231272	+	0.668216i
$2$	−0.327068	+	0.945001i	−0.231272	+	0.668216i
$3$	0.458227	+	0.888835i	0.264557	+	0.513169i
$3$	0.458227	+	0.888835i	0.264557	+	0.513169i
$4$	−0.786053	−	0.618159i	−0.393027	−	0.309079i
$5$	4.33982	−	0.414402i	1.94083	−	0.185326i	0.949219	−	0.314617i	$-0.101876\pi$
$5$	4.33982	−	0.414402i	1.94083	−	0.185326i	0.991607	+	0.129291i	$0.0412700\pi$
$6$	−0.989821	+	0.142315i	−0.404093	+	0.0580998i
$7$	−0.705154	+	2.55005i	−0.266523	+	0.963829i
$7$	−0.705154	+	2.55005i	−0.266523	+	0.963829i
$8$	0.841254	−	0.540641i	0.297428	−	0.191145i
$9$	−0.580057	+	0.814576i	−0.193352	+	0.271525i
$10$	−1.02780	+	4.23667i	−0.325020	+	1.33975i
$11$	−1.85716	+	0.642768i	−0.559954	+	0.193802i	−0.592361	−	0.805673i	$-0.701804\pi$
$11$	−1.85716	+	0.642768i	−0.559954	+	0.193802i	0.0324069	+	0.999475i	$0.489683\pi$
$12$	0.189251	−	0.981929i	0.0546321	−	0.283458i
$13$	0.782667	+	2.66552i	0.217073	+	0.739282i	0.993970	+	0.109654i	$0.0349743\pi$
$13$	0.782667	+	2.66552i	0.217073	+	0.739282i	−0.776897	+	0.629628i	$0.783208\pi$
$14$	−2.17917	−	1.50041i	−0.582407	−	0.401002i
$15$	2.35696	+	3.66749i	0.608563	+	0.946943i
$16$	0.235759	+	0.971812i	0.0589397	+	0.242953i
$17$	−2.37027	−	0.948913i	−0.574875	−	0.230145i	0.0659620	−	0.997822i	$-0.478988\pi$
$17$	−2.37027	−	0.948913i	−0.574875	−	0.230145i	−0.640837	+	0.767677i	$0.721413\pi$
$18$	−0.580057	−	0.814576i	−0.136721	−	0.191997i
$19$	−4.71457	+	1.88743i	−1.08160	+	0.433006i	−0.842890	−	0.538086i	$-0.819148\pi$
$19$	−4.71457	+	1.88743i	−1.08160	+	0.433006i	−0.238707	+	0.971092i	$0.576723\pi$
$20$	−3.66749	−	2.35696i	−0.820077	−	0.527031i
$21$	−2.58970	+	0.541735i	−0.565118	+	0.118216i
$22$		−	1.96524i		−	0.418991i
$23$	−2.66046	+	3.99023i	−0.554745	+	0.832021i
$23$	−2.66046	+	3.99023i	−0.554745	+	0.832021i
$24$	0.866025	+	0.500000i	0.176777	+	0.102062i
$25$	13.7526	−	2.65060i	2.75053	−	0.530121i
$26$	−2.77490	−	0.132185i	−0.544203	−	0.0259236i
$27$	−0.989821	−	0.142315i	−0.190491	−	0.0273885i
$28$	2.13063	−	1.56858i	0.402650	−	0.296433i
$29$	−0.347067	−	2.41391i	−0.0644488	−	0.448251i	−0.996338	−	0.0855069i	$-0.972749\pi$
$29$	−0.347067	−	2.41391i	−0.0644488	−	0.448251i	0.931889	−	0.362744i	$-0.118160\pi$
$30$	−4.23667	+	1.02780i	−0.773506	+	0.187651i
$31$	9.27656	−	0.441897i	1.66612	−	0.0793670i	0.806806	−	0.590817i	$-0.201194\pi$
$31$	9.27656	−	0.441897i	1.66612	−	0.0793670i	0.859313	+	0.511450i	$0.170891\pi$
$32$	−0.995472	−	0.0950560i	−0.175976	−	0.0168037i
$33$	−1.42231	−	1.35617i	−0.247593	−	0.236080i
$34$	1.67196	−	1.92955i	0.286739	−	0.330915i
$35$	−2.00349	+	11.3590i	−0.338652	+	1.92002i
$36$	0.959493	−	0.281733i	0.159915	−	0.0469554i
$37$	−1.15203	−	0.820359i	−0.189393	−	0.134866i	0.481427	−	0.876486i	$-0.340119\pi$
$37$	−1.15203	−	0.820359i	−0.189393	−	0.134866i	−0.670821	+	0.741620i	$0.734058\pi$
$38$	−0.241637	−	5.07259i	−0.0391987	−	0.822883i
$39$	−2.01057	+	1.91707i	−0.321949	+	0.306977i
$40$	3.42684	−	2.69490i	0.541832	−	0.426101i
$41$	6.95309	+	3.17537i	1.08589	+	0.495910i	0.876244	−	0.481867i	$-0.160041\pi$
$41$	6.95309	+	3.17537i	1.08589	+	0.495910i	0.209647	+	0.977777i	$0.432769\pi$
$42$	0.335066	−	2.62445i	0.0517018	−	0.404961i
$43$	−6.85668	+	10.6692i	−1.04563	+	1.62704i	−0.308590	+	0.951195i	$0.599857\pi$
$43$	−6.85668	+	10.6692i	−1.04563	+	1.62704i	−0.737045	+	0.675844i	$0.763779\pi$
$44$	1.85716	+	0.642768i	0.279977	+	0.0969010i
$45$	−2.17978	+	3.77549i	−0.324942	+	0.562817i
$46$	−2.90062	−	3.81922i	−0.427673	−	0.563113i
$47$	11.4970	−	6.63778i	1.67701	−	0.968220i	0.713453	−	0.700703i	$-0.247130\pi$
$47$	11.4970	−	6.63778i	1.67701	−	0.968220i	0.963553	−	0.267517i	$-0.0862033\pi$
$48$	−0.755750	+	0.654861i	−0.109083	+	0.0945210i
$49$	−6.00552	−	3.59636i	−0.857931	−	0.513765i
$50$	−1.99323	+	13.8632i	−0.281885	+	1.96055i
$51$	−0.242693	−	2.54160i	−0.0339838	−	0.355895i
$52$	1.03250	−	2.57905i	0.143181	−	0.357650i
$53$	2.49326	+	2.61485i	0.342475	+	0.359178i	0.872336	−	0.488907i	$-0.162604\pi$
$53$	2.49326	+	2.61485i	0.342475	+	0.359178i	−0.529861	+	0.848085i	$0.677756\pi$
$54$	0.458227	−	0.888835i	0.0623567	−	0.120955i
$55$	−7.79336	+	3.55911i	−1.05086	+	0.479910i
$56$	0.785448	+	2.52647i	0.104960	+	0.337614i
$57$	−3.83796	−	3.32561i	−0.508350	−	0.440488i
$58$	2.39466	+	0.461532i	0.314434	+	0.0606022i
$59$	9.61047	+	2.33147i	1.25118	+	0.303532i	0.806002	−	0.591912i	$-0.201627\pi$
$59$	9.61047	+	2.33147i	1.25118	+	0.303532i	0.445174	+	0.895444i	$0.353142\pi$
$60$	0.414402	−	4.33982i	0.0534991	−	0.560268i
$61$	−5.61413	−	2.89429i	−0.718816	−	0.370575i	0.0596865	−	0.998217i	$-0.480990\pi$
$61$	−5.61413	−	2.89429i	−0.718816	−	0.370575i	−0.778502	+	0.627642i	$0.784020\pi$
$62$	−2.61647	+	8.91088i	−0.332292	+	1.13168i
$63$	−1.66818	−	2.05358i	−0.210171	−	0.258726i
$64$	0.415415	−	0.909632i	0.0519269	−	0.113704i
$65$	4.50123	+	11.2435i	0.558309	+	1.39459i
$66$	1.74678	−	0.900527i	0.215014	−	0.110847i
$67$	−2.25265	−	11.6878i	−0.275205	−	1.42790i	−0.811740	−	0.584020i	$-0.801479\pi$
$67$	−2.25265	−	11.6878i	−0.275205	−	1.42790i	0.536535	−	0.843878i	$-0.319733\pi$
$68$	1.27658	+	2.21110i	0.154808	+	0.268135i
$69$	−4.76575	−	0.536284i	−0.573729	−	0.0645610i
$70$	−10.0790	−	5.60846i	−1.20467	−	0.670339i
$71$	−6.03314	−	6.96261i	−0.716002	−	0.826310i	0.274818	−	0.961496i	$-0.411382\pi$
$71$	−6.03314	−	6.96261i	−0.716002	−	0.826310i	−0.990820	+	0.135186i	$0.956837\pi$
$72$	−0.0475819	+	0.998867i	−0.00560758	+	0.117718i
$73$	4.58690	−	5.83272i	0.536856	−	0.682668i	−0.439647	−	0.898171i	$-0.644896\pi$
$73$	4.58690	−	5.83272i	0.536856	−	0.682668i	0.976503	+	0.215502i	$0.0691389\pi$
$74$	1.15203	−	0.820359i	0.133921	−	0.0953648i
$75$	8.65778	+	11.0093i	0.999714	+	1.27124i
$76$	4.87263	+	1.43073i	0.558930	+	0.164117i
$77$	−0.329510	−	5.18910i	−0.0375512	−	0.591352i
$78$	−1.15404	−	2.52700i	−0.130670	−	0.286127i
$79$	−0.301813	+	0.316532i	−0.0339566	+	0.0356127i	−0.740493	−	0.672064i	$-0.765408\pi$
$79$	−0.301813	+	0.316532i	−0.0339566	+	0.0356127i	0.706537	+	0.707676i	$0.250257\pi$
$80$	1.42587	+	4.11979i	0.159417	+	0.460606i
$81$	−0.327068	−	0.945001i	−0.0363409	−	0.105000i
$82$	−5.27486	+	5.53212i	−0.582511	+	0.610920i
$83$	2.84760	+	6.23536i	0.312564	+	0.684420i	0.999089	−	0.0426868i	$-0.0135917\pi$
$83$	2.84760	+	6.23536i	0.312564	+	0.684420i	−0.686524	+	0.727107i	$0.740864\pi$
$84$	2.37052	+	1.17501i	0.258645	+	0.128204i
$85$	−10.6798	−	3.13587i	−1.15838	−	0.340132i
$86$	−7.83981	−	9.96913i	−0.845388	−	1.07500i
$87$	1.98653	−	1.41460i	0.212978	−	0.151661i
$88$	−1.21483	+	1.54479i	−0.129502	+	0.164675i
$89$	0.375556	−	7.88390i	0.0398089	−	0.835691i	−0.887367	−	0.461064i	$-0.847468\pi$
$89$	0.375556	−	7.88390i	0.0398089	−	0.835691i	0.927176	−	0.374627i	$-0.122229\pi$
$90$	−2.85490	−	3.29473i	−0.300933	−	0.347295i
$91$	−7.34911	+	0.116240i	−0.770396	+	0.0121852i
$92$	4.55786	−	1.49194i	0.475190	−	0.155546i
$93$	4.64354	+	8.04284i	0.481512	+	0.834004i
$94$	2.51242	+	13.0357i	0.259136	+	1.34453i
$95$	−19.6782	+	10.1448i	−2.01894	+	1.04084i
$96$	−0.371662	−	0.928368i	−0.0379326	−	0.0947512i
$97$	−2.91743	+	6.38828i	−0.296220	+	0.648631i	−0.997963	−	0.0637990i	$-0.979678\pi$
$97$	−2.91743	+	6.38828i	−0.296220	+	0.648631i	0.701743	+	0.712430i	$0.252406\pi$
$98$	5.36277	−	4.49897i	0.541722	−	0.454464i
$99$	0.553673	−	1.88564i	0.0556462	−	0.189514i
$100$	−12.4488	−	6.41780i	−1.24488	−	0.641780i
$101$	0.286395	−	2.99926i	0.0284973	−	0.298437i	−0.969976	−	0.243201i	$-0.921803\pi$
$101$	0.286395	−	2.99926i	0.0284973	−	0.298437i	0.998473	−	0.0552367i	$-0.0175913\pi$
$102$	2.48119	+	0.601930i	0.245674	+	0.0596000i
$103$	−1.24696	−	0.240331i	−0.122866	−	0.0236805i	0.127447	−	0.991845i	$-0.459322\pi$
$103$	−1.24696	−	0.240331i	−0.122866	−	0.0236805i	−0.250314	+	0.968165i	$0.580534\pi$
$104$	2.09951	+	1.81923i	0.205874	+	0.178391i
$105$	−11.0143	+	3.42421i	−1.07489	+	0.334168i
$106$	−3.28650	+	1.50090i	−0.319214	+	0.145780i
$107$	−7.20534	+	13.9764i	−0.696567	+	1.35115i	0.229321	+	0.973351i	$0.426350\pi$
$107$	−7.20534	+	13.9764i	−0.696567	+	1.35115i	−0.925887	+	0.377800i	$0.876681\pi$
$108$	0.690079	+	0.723734i	0.0664029	+	0.0696413i
$109$	4.99590	−	12.4791i	0.478520	−	1.19529i	−0.471155	−	0.882050i	$-0.656163\pi$
$109$	4.99590	−	12.4791i	0.478520	−	1.19529i	0.949675	−	0.313235i	$-0.101413\pi$
$110$	−0.814402	−	8.52880i	−0.0776502	−	0.813189i
$111$	0.201272	−	1.39988i	0.0191039	−	0.132871i
$112$	−2.64441	−	0.0840794i	−0.249874	−	0.00794475i
$113$	−3.85953	+	3.34430i	−0.363074	+	0.314606i	−0.817225	−	0.576319i	$-0.804488\pi$
$113$	−3.85953	+	3.34430i	−0.363074	+	0.314606i	0.454150	+	0.890925i	$0.349943\pi$
$114$	4.39797	−	2.53917i	0.411908	−	0.237815i
$115$	−9.89236	+	18.4194i	−0.922467	+	1.71762i
$116$	−1.21936	+	2.11200i	−0.113215	+	0.196094i
$117$	−2.62526	−	0.908611i	−0.242705	−	0.0840011i
$118$	−5.34652	+	8.31935i	−0.492187	+	0.765858i
$119$	4.09118	−	5.37518i	0.375038	−	0.492742i
$120$	3.96559	+	1.81103i	0.362008	+	0.165323i
$121$	−5.61070	+	4.41231i	−0.510064	+	0.401119i
$122$	4.57130	−	4.35873i	0.413866	−	0.394621i
$123$	0.363709	+	7.63520i	0.0327946	+	0.688442i
$124$	−7.56503	−	5.38703i	−0.679360	−	0.483770i
$125$	37.6707	−	11.0611i	3.36937	−	0.989337i
$126$	2.48624	−	0.904773i	0.221492	−	0.0806036i
$127$	5.46272	−	6.30432i	0.484738	−	0.559418i	−0.459714	−	0.888067i	$-0.652048\pi$
$127$	5.46272	−	6.30432i	0.484738	−	0.559418i	0.944452	+	0.328650i	$0.106593\pi$
$128$	0.723734	+	0.690079i	0.0639697	+	0.0609949i
$129$	−12.6251	−	1.20555i	−1.11158	−	0.106143i
$130$	−12.0973	+	0.576268i	−1.06101	+	0.0505420i
$131$	−19.2348	+	4.66632i	−1.68056	+	0.407698i	−0.958717	−	0.284363i	$-0.908218\pi$
$131$	−19.2348	+	4.66632i	−1.68056	+	0.407698i	−0.721838	+	0.692062i	$0.756703\pi$
$132$	0.279683	+	1.94524i	0.0243433	+	0.169311i
$133$	−1.48854	−	13.3533i	−0.129073	−	1.15788i
$134$	11.7818	+	1.69397i	1.01779	+	0.146336i
$135$	−4.35462	−	0.207436i	−0.374786	−	0.0178533i
$136$	−2.50702	+	0.483189i	−0.214975	+	0.0414331i
$137$	17.0140	+	9.82305i	1.45361	+	0.839240i	0.998684	−	0.0512914i	$-0.0163337\pi$
$137$	17.0140	+	9.82305i	1.45361	+	0.839240i	0.454922	+	0.890531i	$0.349667\pi$
$138$	2.06551	−	4.32824i	0.175828	−	0.368444i
$139$		−	21.2374i		−	1.80134i	−0.434508	−	0.900668i	$-0.643078\pi$
$139$		−	21.2374i		−	1.80134i	0.434508	−	0.900668i	$-0.356922\pi$
$140$	8.59650	−	7.69028i	0.726537	−	0.649947i
$141$	11.1681	+	7.17731i	0.940525	+	0.604439i
$142$	8.55292	−	3.42407i	0.717745	−	0.287342i
$143$	−3.16685	−	4.44721i	−0.264825	−	0.371895i
$144$	−0.928368	−	0.371662i	−0.0773640	−	0.0309719i
$145$	−2.50654	−	10.3321i	−0.208157	−	0.858033i
$146$	4.01170	+	6.24232i	0.332010	+	0.516618i
$147$	0.444681	−	6.98586i	0.0366767	−	0.576184i
$148$	0.398447	+	1.35699i	0.0327521	+	0.111544i
$149$	2.94343	−	15.2720i	0.241136	−	1.25113i	−0.636302	−	0.771440i	$-0.719537\pi$
$149$	2.94343	−	15.2720i	0.241136	−	1.25113i	0.877438	−	0.479690i	$-0.159251\pi$
$150$	−13.2354	+	4.58083i	−1.08067	+	0.374023i
$151$	0.819608	−	3.37847i	0.0666988	−	0.274936i	−0.928690	−	0.370856i	$-0.879064\pi$
$151$	0.819608	−	3.37847i	0.0666988	−	0.274936i	0.995389	+	0.0959203i	$0.0305794\pi$
$152$	−2.94573	+	4.13670i	−0.238930	+	0.335530i
$153$	2.14785	−	1.38034i	0.173644	−	0.111594i
$154$	5.01147	+	1.38580i	0.403836	+	0.111671i
$155$	40.0754	−	5.76198i	3.21894	−	0.462813i
$156$	2.76547	−	0.264070i	0.221415	−	0.0211425i
$157$	−5.83981	−	4.59248i	−0.466068	−	0.366520i	0.357336	−	0.933976i	$-0.383685\pi$
$157$	−5.83981	−	4.59248i	−0.466068	−	0.366520i	−0.823404	+	0.567456i	$0.807928\pi$
$158$	−0.200410	−	0.388741i	−0.0159438	−	0.0309266i
$159$	−1.18170	+	3.41429i	−0.0937147	+	0.270771i
$160$	−4.35956			−0.344653
$161$	−8.29925	−	9.59804i	−0.654073	−	0.756432i
$162$	1.00000			0.0785674
$163$	−0.0969605	+	0.280149i	−0.00759454	+	0.0219430i	−0.948734	−	0.316074i	$-0.897635\pi$
$163$	−0.0969605	+	0.280149i	−0.00759454	+	0.0219430i	0.941140	+	0.338017i	$0.109756\pi$
$164$	−3.50262	−	6.79413i	−0.273508	−	0.530532i
$165$	−6.73458	−	5.29614i	−0.524287	−	0.412304i
$166$	−6.82378	+	0.651592i	−0.529628	+	0.0505734i
$167$	8.02444	−	1.15374i	0.620950	−	0.0892791i	0.175342	−	0.984508i	$-0.443897\pi$
$167$	8.02444	−	1.15374i	0.620950	−	0.0892791i	0.445608	+	0.895228i	$0.352988\pi$
$168$	−1.88571	+	1.85583i	−0.145485	+	0.143181i
$169$	4.44388	−	2.85591i	0.341837	−	0.219685i
$170$	6.45641	−	9.06676i	0.495184	−	0.695388i
$171$	1.19726	−	4.93519i	0.0915571	−	0.377404i
$172$	11.9850	−	4.14804i	0.913847	−	0.316285i
$173$	−1.50562	+	7.81191i	−0.114470	+	0.593928i	0.878712	+	0.477353i	$0.158404\pi$
$173$	−1.50562	+	7.81191i	−0.114470	+	0.593928i	−0.993182	+	0.116575i	$0.962808\pi$
$174$	0.687069	+	2.33994i	0.0520866	+	0.177391i
$175$	−2.93855	+	36.9390i	−0.222134	+	2.79233i
$176$	−1.06249	−	1.65327i	−0.0800883	−	0.124620i
$177$	2.33147	+	9.61047i	0.175244	+	0.722367i
$178$	7.32746	+	2.93347i	0.549216	+	0.219873i
$179$	8.29336	+	11.6464i	0.619875	+	0.870493i	0.998483	−	0.0550646i	$-0.0175365\pi$
$179$	8.29336	+	11.6464i	0.619875	+	0.870493i	−0.378608	+	0.925557i	$0.623597\pi$
$180$	4.04727	−	1.62028i	0.301666	−	0.120769i
$181$	4.38105	+	2.81553i	0.325641	+	0.209277i	0.693238	−	0.720708i	$-0.256183\pi$
$181$	4.38105	+	2.81553i	0.325641	+	0.209277i	−0.367598	+	0.929985i	$0.619820\pi$
$182$	2.29381	−	6.98293i	0.170029	−	0.517609i
$183$		−	6.31628i		−	0.466913i
$184$	−0.0808419	+	4.79515i	−0.00595974	+	0.353503i
$185$	−5.33957	−	3.08280i	−0.392573	−	0.226652i
$186$	−9.11925	+	1.75759i	−0.668656	+	0.128873i
$187$	5.01190	+	0.238746i	0.366506	+	0.0174588i
$188$	−13.1404	−	1.88931i	−0.958365	−	0.137792i
$189$	1.06089	−	2.42374i	0.0771681	−	0.176301i
$190$	−3.15076	−	21.9140i	−0.228580	−	1.58981i
$191$	8.60036	−	2.08643i	0.622300	−	0.150968i	0.0878020	−	0.996138i	$-0.472016\pi$
$191$	8.60036	−	2.08643i	0.622300	−	0.150968i	0.534498	+	0.845170i	$0.320501\pi$
$192$	0.998867	−	0.0475819i	0.0720870	−	0.00343393i
$193$	0.863249	+	0.0824303i	0.0621380	+	0.00593346i	0.126079	−	0.992020i	$-0.459761\pi$
$193$	0.863249	+	0.0824303i	0.0621380	+	0.00593346i	−0.0639407	+	0.997954i	$0.520367\pi$
$194$	−5.08273	−	4.84637i	−0.364919	−	0.347949i
$195$	−7.93106	+	9.15293i	−0.567955	+	0.655455i
$196$	2.49754	+	6.53929i	0.178395	+	0.467092i
$197$	−0.760218	+	0.223220i	−0.0541633	+	0.0159038i	−0.308702	−	0.951159i	$-0.599895\pi$
$197$	−0.760218	+	0.223220i	−0.0541633	+	0.0159038i	0.254539	+	0.967063i	$0.418076\pi$
$198$	1.60084	+	1.13995i	0.113767	+	0.0810130i
$199$	−0.148994	−	3.12776i	−0.0105619	−	0.221721i	−0.997977	−	0.0635726i	$-0.979751\pi$
$199$	−0.148994	−	3.12776i	−0.0105619	−	0.221721i	0.987415	−	0.158148i	$-0.0505525\pi$
$200$	10.1364	−	9.66507i	0.716754	−	0.683424i
$201$	9.35635	−	7.35791i	0.659946	−	0.518987i
$202$	2.74063	+	1.25160i	0.192830	+	0.0880626i
$203$	6.40032	+	0.817136i	0.449214	+	0.0573517i
$204$	−1.38034	+	2.14785i	−0.0966433	+	0.150380i
$205$	31.4910	+	10.8992i	2.19943	+	0.761230i
$206$	0.634952	−	1.09977i	0.0442392	−	0.0766246i
$207$	−1.70713	−	4.48171i	−0.118653	−	0.311500i
$208$	−2.40586	+	1.38902i	−0.166816	+	0.0963115i
$209$	7.54252	−	6.53563i	0.521727	−	0.452079i
$210$	0.366549	−	11.5285i	0.0252943	−	0.795541i
$211$	1.10546	−	7.68867i	0.0761033	−	0.529310i	−0.915733	−	0.401788i	$-0.868389\pi$
$211$	1.10546	−	7.68867i	0.0761033	−	0.529310i	0.991836	−	0.127521i	$-0.0407022\pi$
$212$	−0.343438	−	3.59664i	−0.0235874	−	0.247019i
$213$	3.42407	−	8.55292i	0.234614	−	0.586036i
$214$	−10.8511	−	11.3803i	−0.741765	−	0.777941i
$215$	−25.3354	+	49.1438i	−1.72786	+	3.35158i
$216$	−0.909632	+	0.415415i	−0.0618926	+	0.0282654i
$217$	−5.41454	+	23.9673i	−0.367563	+	1.62701i
$218$	10.1588	+	8.80266i	0.688041	+	0.596191i
$219$	7.28617	+	1.40429i	0.492354	+	0.0948934i
$220$	8.32609	+	2.01989i	0.561345	+	0.136181i
$221$	0.674213	−	7.06068i	0.0453525	−	0.474953i
$222$	1.25706	+	0.648058i	0.0843681	+	0.0434948i
$223$	3.79741	−	12.9328i	0.254294	−	0.866045i	−0.729077	−	0.684432i	$-0.760050\pi$
$223$	3.79741	−	12.9328i	0.254294	−	0.866045i	0.983370	−	0.181612i	$-0.0581316\pi$
$224$	0.944358	−	2.47147i	0.0630976	−	0.165132i
$225$	−5.81820	+	12.7401i	−0.387880	+	0.849338i
$226$	−1.89804	−	4.74108i	−0.126256	−	0.315372i
$227$	24.1449	−	12.4476i	1.60255	−	0.826174i	0.602957	−	0.797773i	$-0.293989\pi$
$227$	24.1449	−	12.4476i	1.60255	−	0.826174i	0.999597	−	0.0284007i	$-0.00904144\pi$
$228$	0.961083	+	4.98657i	0.0636493	+	0.330244i
$229$	5.47954	+	9.49084i	0.362098	+	0.627172i	0.988306	−	0.152484i	$-0.0487272\pi$
$229$	5.47954	+	9.49084i	0.362098	+	0.627172i	−0.626208	+	0.779656i	$0.715394\pi$
$230$	−14.1709	−	15.3727i	−0.934398	−	1.01364i
$231$	4.46126	−	2.67066i	0.293529	−	0.175717i
$232$	−1.59703	−	1.84307i	−0.104850	−	0.121003i
$233$	0.0685132	−	1.43827i	0.00448845	−	0.0942242i	−0.995511	−	0.0946410i	$-0.969830\pi$
$233$	0.0685132	−	1.43827i	0.00448845	−	0.0942242i	1.00000		0.000416879i	$0.000132697\pi$
$234$	1.71728	−	2.18369i	0.112262	−	0.142753i
$235$	47.1441	−	33.5711i	3.07534	−	2.18994i
$236$	−6.11311	−	7.77346i	−0.397930	−	0.506009i
$237$	−0.419644	−	0.123219i	−0.0272588	−	0.00800390i
$238$	3.74146	+	5.62422i	0.242523	+	0.364564i
$239$	−4.45003	−	9.74421i	−0.287849	−	0.630301i	0.709370	−	0.704837i	$-0.248980\pi$
$239$	−4.45003	−	9.74421i	−0.287849	−	0.630301i	−0.997218	+	0.0745360i	$0.976252\pi$
$240$	−3.00844	+	3.15516i	−0.194194	+	0.203665i
$241$	−0.000644764	−	0.00186292i	−4.15329e−5	−	0.000120001i	0.944980	−	0.327128i	$-0.106081\pi$
$241$	−0.000644764	−	0.00186292i	−4.15329e−5	−	0.000120001i	−0.945022	+	0.327008i	$0.893960\pi$
$242$	−2.33455	−	6.74524i	−0.150071	−	0.433601i
$243$	0.690079	−	0.723734i	0.0442686	−	0.0464276i
$244$	2.62388	+	5.74549i	0.167976	+	0.367817i
$245$	−27.5532	−	13.1188i	−1.76031	−	0.838131i
$246$	−7.33422	−	2.15352i	−0.467613	−	0.137304i
$247$	−8.72092	−	11.0895i	−0.554899	−	0.705611i
$248$	7.56503	−	5.38703i	0.480380	−	0.342077i
$249$	−4.23737	+	5.38825i	−0.268532	+	0.341467i
$250$	−1.86812	+	39.2166i	−0.118150	+	2.48028i
$251$	−4.91570	−	5.67302i	−0.310276	−	0.358078i	0.579098	−	0.815258i	$-0.303405\pi$
$251$	−4.91570	−	5.67302i	−0.310276	−	0.358078i	−0.889374	+	0.457180i	$0.848859\pi$
$252$	0.0418422	+	2.64542i	0.00263581	+	0.166646i
$253$	2.37610	−	9.12055i	0.149384	−	0.573404i
$254$	4.17090	+	7.22422i	0.261706	+	0.453288i
$255$	−2.10649	−	10.9295i	−0.131913	−	0.684432i
$256$	−0.888835	+	0.458227i	−0.0555522	+	0.0286392i
$257$	−3.36874	−	8.41472i	−0.210137	−	0.524896i	0.785431	−	0.618950i	$-0.212442\pi$
$257$	−3.36874	−	8.41472i	−0.210137	−	0.524896i	−0.995567	+	0.0940541i	$0.970017\pi$
$258$	5.26851	−	11.5364i	0.328003	−	0.718226i
$259$	2.90432	−	2.35926i	0.180466	−	0.146598i
$260$	3.41208	−	11.6205i	0.211608	−	0.720672i
$261$	2.16763	+	1.11749i	0.134173	+	0.0691709i
$262$	1.88142	−	19.7031i	0.116235	−	1.21726i
$263$	−5.51749	−	1.33853i	−0.340223	−	0.0825373i	0.0620073	−	0.998076i	$-0.480250\pi$
$263$	−5.51749	−	1.33853i	−0.340223	−	0.0825373i	−0.402230	+	0.915538i	$0.631765\pi$
$264$	−1.92973	−	0.371925i	−0.118767	−	0.0228904i
$265$	11.9039	+	10.3148i	0.731250	+	0.633632i
$266$	13.1058	+	2.96077i	0.803565	+	0.181536i
$267$	7.17958	−	3.27880i	0.439383	−	0.200660i
$268$	−5.45425	+	10.5798i	−0.333171	+	0.646262i
$269$	9.29056	+	9.74366i	0.566456	+	0.594082i	0.943196	−	0.332237i	$-0.107804\pi$
$269$	9.29056	+	9.74366i	0.566456	+	0.594082i	−0.376740	+	0.926319i	$0.622955\pi$
$270$	1.62028	−	4.04727i	0.0986073	−	0.246309i
$271$	−0.0960114	−	1.00548i	−0.00583228	−	0.0610784i	0.992087	−	0.125550i	$-0.0400697\pi$
$271$	−0.0960114	−	1.00548i	−0.00583228	−	0.0610784i	−0.997920	+	0.0644721i	$0.979464\pi$
$272$	0.363352	−	2.52717i	0.0220315	−	0.153232i
$273$	−3.47087	−	6.47888i	−0.210067	−	0.392120i
$274$	−14.8475	+	12.8655i	−0.896972	+	0.777231i
$275$	−23.8371	+	13.7624i	−1.43743	+	0.829901i
$276$	3.41463	+	3.36754i	0.205536	+	0.202702i
$277$	3.10507	−	5.37813i	0.186565	−	0.323141i	−0.757538	−	0.652792i	$-0.773598\pi$
$277$	3.10507	−	5.37813i	0.186565	−	0.323141i	0.944103	+	0.329651i	$0.106931\pi$
$278$	20.0694	+	6.94608i	1.20368	+	0.416598i
$279$	−5.02097	+	7.81279i	−0.300598	+	0.467739i
$280$	4.45568	+	10.6389i	0.266278	+	0.635799i
$281$	12.6608	+	5.78198i	0.755278	+	0.344924i	0.755563	−	0.655076i	$-0.227363\pi$
$281$	12.6608	+	5.78198i	0.755278	+	0.344924i	−0.000285116		1.00000i	$0.500091\pi$
$282$	−10.4353	+	8.20641i	−0.621413	+	0.488685i
$283$	−13.9023	+	13.2559i	−0.826409	+	0.787979i	−0.979756	−	0.200193i	$-0.935843\pi$
$283$	−13.9023	+	13.2559i	−0.826409	+	0.787979i	0.153348	+	0.988172i	$0.450995\pi$
$284$	0.438365	+	9.20242i	0.0260122	+	0.546063i
$285$	−18.0342	−	12.8421i	−1.06825	−	0.760699i
$286$	5.23839	−	1.53813i	0.309753	−	0.0909516i
$287$	−13.0004	+	15.4916i	−0.767387	+	0.914441i
$288$	0.654861	−	0.755750i	0.0385880	−	0.0445330i
$289$	−7.58573	−	7.23298i	−0.446219	−	0.425469i
$290$	10.5836	+	1.01061i	0.621492	+	0.0593453i
$291$	−7.01497	+	0.334164i	−0.411225	+	0.0195891i
$292$	−7.21110	+	1.74939i	−0.421998	+	0.102375i
$293$	2.02987	+	14.1181i	0.118586	+	0.824785i	0.959115	+	0.283018i	$0.0913356\pi$
$293$	2.02987	+	14.1181i	0.118586	+	0.824785i	−0.840528	+	0.541767i	$0.817755\pi$
$294$	6.45620	+	2.70508i	0.376533	+	0.157763i
$295$	42.6738	+	6.13557i	2.48457	+	0.357227i
$296$	−1.41267	−	0.0672939i	−0.0821099	−	0.00391138i
$297$	1.92973	−	0.371925i	0.111974	−	0.0215813i
$298$	13.4693	+	7.77653i	0.780258	+	0.450482i
$299$	−12.7183	−	3.96849i	−0.735518	−	0.229504i
$300$		−	14.0057i		−	0.808622i
$301$	−22.3720	−	25.0083i	−1.28950	−	1.44146i
$302$	2.92459	+	1.87952i	0.168291	+	0.108154i
$303$	2.79708	−	1.11978i	0.160688	−	0.0643298i
$304$	−2.94573	−	4.13670i	−0.168949	−	0.237256i
$305$	−25.5637	−	10.2342i	−1.46377	−	0.586006i
$306$	0.601930	+	2.48119i	0.0344101	+	0.141840i
$307$	−8.96558	−	13.9507i	−0.511693	−	0.796210i	0.485247	−	0.874377i	$-0.338730\pi$
$307$	−8.96558	−	13.9507i	−0.511693	−	0.796210i	−0.996940	+	0.0781673i	$0.975093\pi$
$308$	−2.94867	+	4.28259i	−0.168016	+	0.244023i
$309$	−0.357773	−	1.21846i	−0.0203530	−	0.0693160i
$310$	−7.66232	+	39.7559i	−0.435190	+	2.25798i
$311$	−23.1787	+	8.02224i	−1.31435	+	0.454899i	−0.892205	−	0.451631i	$-0.850842\pi$
$311$	−23.1787	+	8.02224i	−1.31435	+	0.454899i	−0.422140	+	0.906531i	$0.638721\pi$
$312$	−0.654950	+	2.69974i	−0.0370792	+	0.152843i
$313$	−3.18069	+	4.46665i	−0.179783	+	0.252470i	−0.894627	−	0.446814i	$-0.852558\pi$
$313$	−3.18069	+	4.46665i	−0.179783	+	0.252470i	0.714844	+	0.699284i	$0.246498\pi$
$314$	6.24991	−	4.01658i	0.352703	−	0.226668i
$315$	−8.09061	−	8.22085i	−0.455854	−	0.463192i
$316$	0.432908	−	0.0622428i	0.0243530	−	0.00350143i
$317$	19.6266	−	1.87411i	1.10234	−	0.105261i	0.472013	−	0.881591i	$-0.343527\pi$
$317$	19.6266	−	1.87411i	1.10234	−	0.105261i	0.630326	+	0.776331i	$0.282921\pi$
$318$	−2.84001	−	2.23341i	−0.159260	−	0.125243i
$319$	2.19614	+	4.25992i	0.122960	+	0.238510i
$320$	1.42587	−	4.11979i	0.0797087	−	0.230303i
$321$	−15.7244			−0.877651
$322$	11.7846	−	4.70359i	0.656729	−	0.262121i
$323$	12.9658			0.721437
$324$	−0.327068	+	0.945001i	−0.0181704	+	0.0525000i
$325$	17.8290	+	34.5834i	0.988973	+	1.91834i
$326$	−0.233028	−	0.183256i	−0.0129062	−	0.0101496i
$327$	13.3812	−	1.27775i	0.739980	−	0.0706595i
$328$	7.56605	−	1.08783i	0.417765	−	0.0600656i
$329$	8.81955	+	33.9985i	0.486237	+	1.87440i
$330$	7.20752	−	4.63199i	0.396761	−	0.254983i
$331$	−1.65346	+	2.32196i	−0.0908824	+	0.127627i	−0.857514	−	0.514461i	$-0.827992\pi$
$331$	−1.65346	+	2.32196i	−0.0908824	+	0.127627i	0.766631	+	0.642088i	$0.221931\pi$
$332$	1.61609	−	6.66159i	0.0886942	−	0.365602i
$333$	1.33649	−	0.462564i	0.0732392	−	0.0253483i
$334$	−1.53425	+	7.96046i	−0.0839506	+	0.435577i
$335$	−14.6196	−	49.7896i	−0.798751	−	2.72030i
$336$	−1.13701	−	2.38898i	−0.0620289	−	0.130329i
$337$	−6.31742	−	9.83010i	−0.344132	−	0.535480i	0.625445	−	0.780269i	$-0.284918\pi$
$337$	−6.31742	−	9.83010i	−0.344132	−	0.535480i	−0.969576	+	0.244789i	$0.921281\pi$
$338$	1.24538	+	5.13354i	0.0677400	+	0.279228i
$339$	−4.74108	−	1.89804i	−0.257500	−	0.103087i
$340$	6.45641	+	9.06676i	0.350148	+	0.491714i
$341$	−16.9440	+	6.78335i	−0.917568	+	0.367339i
$342$	4.27217	+	2.74556i	0.231013	+	0.148463i
$343$	13.4057	−	12.7784i	0.723840	−	0.689968i
$344$			12.6825i			0.683795i
$345$	−20.9047	−	0.352435i	−1.12547	−	0.0189744i
$346$	−6.88982	−	3.97784i	−0.370399	−	0.213850i
$347$	25.9028	−	4.99235i	1.39053	−	0.268003i	0.561627	−	0.827390i	$-0.310176\pi$
$347$	25.9028	−	4.99235i	1.39053	−	0.268003i	0.828907	+	0.559387i	$0.188963\pi$
$348$	−2.43597	−	0.116039i	−0.130581	−	0.00622036i
$349$	−0.412852	−	0.0593592i	−0.0220995	−	0.00317742i	0.131256	−	0.991348i	$-0.458099\pi$
$349$	−0.412852	−	0.0593592i	−0.0220995	−	0.00317742i	−0.153356	+	0.988171i	$0.549008\pi$
$350$	−33.9463	−	14.8585i	−1.81451	−	0.794221i
$351$	−0.395358	−	2.74977i	−0.0211026	−	0.146772i
$352$	1.90985	−	0.463324i	0.101795	−	0.0246952i
$353$	−22.8196	+	1.08703i	−1.21457	+	0.0578569i	−0.645061	−	0.764131i	$-0.723168\pi$
$353$	−22.8196	+	1.08703i	−1.21457	+	0.0578569i	−0.569505	+	0.821988i	$0.692865\pi$
$354$	−9.84445	−	0.940031i	−0.523227	−	0.0499621i
$355$	−29.0680	−	27.7163i	−1.54277	−	1.47103i
$356$	−5.16871	+	5.96501i	−0.273941	+	0.316145i
$357$	6.65234	+	1.17334i	0.352079	+	0.0620996i
$358$	−13.7183	+	4.02807i	−0.725037	+	0.212890i
$359$	−2.51419	−	1.79035i	−0.132694	−	0.0944909i	0.511783	−	0.859115i	$-0.328985\pi$
$359$	−2.51419	−	1.79035i	−0.132694	−	0.0944909i	−0.644477	+	0.764624i	$0.722925\pi$
$360$	0.207436	+	4.35462i	0.0109328	+	0.229509i
$361$	4.91385	−	4.68534i	0.258623	−	0.246597i
$362$	−4.09358	+	3.21922i	−0.215154	+	0.169199i
$363$	−6.49279	−	2.96516i	−0.340783	−	0.155630i
$364$	5.84864	+	4.45155i	0.306552	+	0.233324i
$365$	17.4892	−	27.2138i	0.915428	−	1.42443i
$366$	5.96889	+	2.06585i	0.311999	+	0.107984i
$367$	−5.07514	+	8.79040i	−0.264920	+	0.458855i	−0.967543	−	0.252708i	$-0.918679\pi$
$367$	−5.07514	+	8.79040i	−0.264920	+	0.458855i	0.702623	+	0.711563i	$0.252012\pi$
$368$	−4.50498	−	1.64474i	−0.234838	−	0.0857378i
$369$	−6.61977	+	3.82193i	−0.344612	+	0.198962i
$370$	4.65966	−	4.03762i	0.242244	−	0.209906i
$371$	−8.42614	+	4.51406i	−0.437463	+	0.234358i
$372$	1.32169	−	9.19255i	0.0685264	−	0.476611i
$373$	−2.82790	−	29.6151i	−0.146423	−	1.53341i	−0.708133	−	0.706079i	$-0.750462\pi$
$373$	−2.82790	−	29.6151i	−0.146423	−	1.53341i	0.561710	−	0.827334i	$-0.310144\pi$
$374$	−1.86485	+	4.65816i	−0.0964289	+	0.240868i
$375$	27.0932	+	28.4146i	1.39909	+	1.46732i
$376$	6.08322	−	11.7998i	0.313718	−	0.608528i
$377$	6.16267	−	2.81440i	0.317394	−	0.144949i
$378$	1.94346	+	1.79527i	0.0999606	+	0.0923385i
$379$	−21.0382	−	18.2297i	−1.08066	−	0.936398i	−0.0824748	−	0.996593i	$-0.526282\pi$
$379$	−21.0382	−	18.2297i	−1.08066	−	0.936398i	−0.998187	+	0.0601947i	$0.980828\pi$
$380$	21.7392	+	4.18990i	1.11520	+	0.214937i
$381$	8.10666	+	1.96666i	0.415317	+	0.100755i
$382$	−0.841229	+	8.80975i	−0.0430410	+	0.450746i
$383$	4.06181	+	2.09401i	0.207549	+	0.106999i	0.558867	−	0.829257i	$-0.311236\pi$
$383$	4.06181	+	2.09401i	0.207549	+	0.106999i	−0.351318	+	0.936256i	$0.614266\pi$
$384$	−0.281733	+	0.959493i	−0.0143771	+	0.0489639i
$385$	−3.58039	−	22.3832i	−0.182473	−	1.14075i
$386$	−0.360238	+	0.788810i	−0.0183356	+	0.0401494i
$387$	−4.71361	−	11.7740i	−0.239606	−	0.598508i
$388$	6.24223	−	3.21809i	0.316901	−	0.163374i
$389$	−0.0263568	−	0.136752i	−0.00133634	−	0.00693360i	0.981254	−	0.192717i	$-0.0617299\pi$
$389$	−0.0263568	−	0.136752i	−0.00133634	−	0.00693360i	−0.982591	+	0.185783i	$0.940518\pi$
$390$	−6.05553	−	10.4885i	−0.306634	−	0.531105i
$391$	10.0924	−	6.93338i	0.510395	−	0.350636i
$392$	−6.99650	+	0.221380i	−0.353377	+	0.0111814i
$393$	−12.9615	−	14.9584i	−0.653821	−	0.754550i
$394$	0.0376997	−	0.791415i	0.00189928	−	0.0398709i
$395$	−1.17864	+	1.49876i	−0.0593039	+	0.0754110i
$396$	−1.60084	+	1.13995i	−0.0804453	+	0.0572848i
$397$	0.458168	+	0.582607i	0.0229948	+	0.0292402i	0.797415	−	0.603432i	$-0.206200\pi$
$397$	0.458168	+	0.582607i	0.0229948	+	0.0292402i	−0.774420	+	0.632672i	$0.781958\pi$
$398$	3.00447	+	0.882191i	0.150600	+	0.0442202i
$399$	11.1868	−	7.44192i	0.560041	−	0.372562i
$400$	5.81820	+	12.7401i	0.290910	+	0.637004i
$401$	−7.62333	+	7.99512i	−0.380691	+	0.399257i	−0.886003	−	0.463679i	$-0.846529\pi$
$401$	−7.62333	+	7.99512i	−0.380691	+	0.399257i	0.505312	+	0.862937i	$0.331377\pi$
$402$	3.89307	+	11.2483i	0.194169	+	0.561014i
$403$	8.43834	+	24.3810i	0.420343	+	1.21450i
$404$	−2.07914	+	2.18054i	−0.103441	+	0.108486i
$405$	−1.81103	−	3.96559i	−0.0899906	−	0.197052i
$406$	−2.86553	+	5.78105i	−0.142214	+	0.286908i
$407$	2.66681	+	0.783046i	0.132189	+	0.0388141i
$408$	−1.57826	−	2.00692i	−0.0781354	−	0.0993573i
$409$	−5.10605	+	3.63600i	−0.252478	+	0.179789i	−0.699288	−	0.714840i	$-0.746499\pi$
$409$	−5.10605	+	3.63600i	−0.252478	+	0.179789i	0.446810	+	0.894629i	$0.352560\pi$
$410$	−20.5994	+	26.1943i	−1.01733	+	1.29364i
$411$	−0.934799	+	19.6238i	−0.0461102	+	0.967973i
$412$	0.831611	+	0.959730i	0.0409705	+	0.0472825i
$413$	−12.7222	+	22.8631i	−0.626020	+	1.12502i
$414$	4.79357	−	0.147412i	0.235591	−	0.00724491i
$415$	14.9420	+	25.8803i	0.733474	+	1.27041i
$416$	−0.525749	−	2.72785i	−0.0257770	−	0.133744i
$417$	18.8766	−	9.73156i	0.924390	−	0.476556i
$418$	3.70926	+	9.26528i	0.181426	+	0.453180i
$419$	−0.991689	+	2.17150i	−0.0484472	+	0.106085i	−0.932308	−	0.361666i	$-0.882208\pi$
$419$	−0.991689	+	2.17150i	−0.0484472	+	0.106085i	0.883861	+	0.467750i	$0.154935\pi$
$420$	10.7745	+	4.11699i	0.525744	+	0.200888i
$421$	−5.66528	+	19.2942i	−0.276109	+	0.940340i	0.698347	+	0.715759i	$0.253919\pi$
$421$	−5.66528	+	19.2942i	−0.276109	+	0.940340i	−0.974456	+	0.224580i	$0.927899\pi$
$422$	6.90424	+	3.55938i	0.336093	+	0.173268i
$423$	−1.26192	+	13.2155i	−0.0613568	+	0.642557i
$424$	3.51116	+	0.851798i	0.170517	+	0.0413670i
$425$	−35.1127	−	6.76742i	−1.70322	−	0.328268i
$426$	6.96261	+	6.03314i	0.337340	+	0.292306i
$427$	11.3394	−	12.2754i	0.548752	−	0.594048i
$428$	14.3034	−	6.53216i	0.691382	−	0.315744i
$429$	2.50171	−	4.85264i	0.120784	−	0.234287i
$430$	−38.1546	−	40.0154i	−1.83998	−	1.92971i
$431$	1.97517	−	4.93375i	0.0951408	−	0.237650i	−0.873162	−	0.487431i	$-0.837934\pi$
$431$	1.97517	−	4.93375i	0.0951408	−	0.237650i	0.968303	+	0.249780i	$0.0803584\pi$
$432$	−0.0950560	−	0.995472i	−0.00457339	−	0.0478947i
$433$	−0.0638569	+	0.444134i	−0.00306876	+	0.0213437i	−0.991298	−	0.131635i	$-0.957977\pi$
$433$	−0.0638569	+	0.444134i	−0.00306876	+	0.0213437i	0.988230	+	0.152978i	$0.0488865\pi$
$434$	−20.8782	−	12.9557i	−1.00219	−	0.621892i
$435$	8.03496	−	6.96233i	0.385247	−	0.333818i
$436$	−11.6411	+	6.72102i	−0.557509	+	0.321878i
$437$	5.01166	−	23.8337i	0.239740	−	1.14012i
$438$	−3.71013	+	6.42614i	−0.177277	+	0.307053i
$439$	12.9593	+	4.48526i	0.618514	+	0.214070i	0.618315	−	0.785930i	$-0.287815\pi$
$439$	12.9593	+	4.48526i	0.618514	+	0.214070i	0.000199021		1.00000i	$0.499937\pi$
$440$	−4.63199	+	7.20752i	−0.220822	+	0.343605i
$441$	6.41305	−	2.80586i	0.305383	−	0.133612i
$442$	6.45184	+	2.94646i	0.306883	+	0.140149i
$443$	4.15758	−	3.26956i	0.197533	−	0.155341i	−0.514494	−	0.857494i	$-0.672020\pi$
$443$	4.15758	−	3.26956i	0.197533	−	0.155341i	0.712026	+	0.702153i	$0.247778\pi$
$444$	−1.02356	+	0.975961i	−0.0485759	+	0.0463170i
$445$	−1.63726	−	34.3703i	−0.0776136	−	1.62931i
$446$	10.9795	+	7.81846i	0.519894	+	0.370215i
$447$	14.9230	−	4.38180i	0.705836	−	0.207252i
$448$	2.02668	+	1.70076i	0.0957514	+	0.0803533i
$449$	−5.78046	+	6.67101i	−0.272797	+	0.314825i	−0.875573	−	0.483086i	$-0.839516\pi$
$449$	−5.78046	+	6.67101i	−0.272797	+	0.314825i	0.602776	+	0.797911i	$0.294061\pi$
$450$	−10.1364	−	9.66507i	−0.477836	−	0.455616i
$451$	−14.9540	−	1.42794i	−0.704157	−	0.0672389i
$452$	5.10111	−	0.242996i	0.239936	−	0.0114296i
$453$	3.37847	−	0.819608i	0.158734	−	0.0385085i
$454$	3.86593	+	26.8882i	0.181437	+	1.26192i
$455$	−31.8456	+	3.54995i	−1.49295	+	0.166424i
$456$	−5.02665	−	0.722724i	−0.235395	−	0.0338446i
$457$	1.39609	+	0.0665040i	0.0653063	+	0.00311092i	0.0802096	−	0.996778i	$-0.474441\pi$
$457$	1.39609	+	0.0665040i	0.0653063	+	0.00311092i	−0.0149033	+	0.999889i	$0.504744\pi$
$458$	−10.7610	+	2.07402i	−0.502830	+	0.0969125i
$459$	2.21110	+	1.27658i	0.103205	+	0.0595856i
$460$	19.1620	−	8.36356i	0.893434	−	0.389953i
$461$		−	15.7896i		−	0.735397i	−0.929945	−	0.367698i	$-0.880146\pi$
$461$		−	15.7896i		−	0.735397i	0.929945	−	0.367698i	$-0.119854\pi$
$462$	1.06464	+	5.08938i	0.0495316	+	0.236780i
$463$	1.96409	+	1.26224i	0.0912790	+	0.0586615i	0.585484	−	0.810684i	$-0.300904\pi$
$463$	1.96409	+	1.26224i	0.0912790	+	0.0586615i	−0.494205	+	0.869345i	$0.664541\pi$
$464$	2.26404	−	0.906384i	0.105105	−	0.0420778i
$465$	23.4851	+	32.9802i	1.08909	+	1.52942i
$466$	1.33676	+	0.535157i	0.0619241	+	0.0247907i
$467$	−8.82754	−	36.3876i	−0.408490	−	1.68382i	−0.689638	−	0.724154i	$-0.742230\pi$
$467$	−8.82754	−	36.3876i	−0.408490	−	1.68382i	0.281148	−	0.959664i	$-0.409285\pi$
$468$	1.50193	+	2.33704i	0.0694266	+	0.108030i
$469$	31.3931	+	2.49736i	1.44960	+	0.115318i
$470$	16.3054	+	55.5312i	0.752114	+	2.56146i
$471$	1.40600	−	7.29503i	0.0647851	−	0.336137i
$472$	9.34533	−	3.23445i	0.430154	−	0.148878i
$473$	5.87611	−	24.2217i	0.270184	−	1.11371i
$474$	0.253694	−	0.356263i	0.0116525	−	0.0163637i
$475$	−59.8350	+	38.4536i	−2.74542	+	1.76437i
$476$	−6.53860	+	1.69618i	−0.299696	+	0.0777441i
$477$	−3.57623	+	0.514184i	−0.163744	+	0.0235429i
$478$	10.6638	−	1.01826i	0.487749	−	0.0465743i
$479$	12.7208	+	10.0038i	0.581230	+	0.457084i	0.864975	−	0.501815i	$-0.167334\pi$
$479$	12.7208	+	10.0038i	0.581230	+	0.457084i	−0.283745	+	0.958900i	$0.591577\pi$
$480$	−1.99767	−	3.87493i	−0.0911805	−	0.176866i
$481$	1.28502	−	3.71283i	0.0585921	−	0.169291i
$482$	0.00197135			8.97923e−5
$483$	4.72814	−	11.7747i	0.215138	−	0.535770i
$484$	7.13782			0.324446
$485$	−10.0138	+	28.9330i	−0.454703	+	1.31378i
$486$	0.458227	+	0.888835i	0.0207856	+	0.0403184i
$487$	4.52350	+	3.55732i	0.204979	+	0.161198i	0.715372	−	0.698744i	$-0.246257\pi$
$487$	4.52350	+	3.55732i	0.204979	+	0.161198i	−0.510392	+	0.859942i	$0.670500\pi$
$488$	−6.28768	+	0.600400i	−0.284630	+	0.0271788i
$489$	−0.293436	+	0.0421898i	−0.0132696	+	0.00190789i
$490$	21.4091	−	21.7470i	0.967163	−	0.982431i
$491$	−3.75708	+	2.41453i	−0.169555	+	0.108966i	−0.622666	−	0.782488i	$-0.713950\pi$
$491$	−3.75708	+	2.41453i	−0.169555	+	0.108966i	0.453111	+	0.891454i	$0.350314\pi$
$492$	4.43387	−	6.22650i	0.199894	−	0.280712i
$493$	−1.46794	+	6.05095i	−0.0661129	+	0.272521i
$494$	13.3320	−	4.61424i	0.599833	−	0.207604i
$495$	1.62143	−	8.41277i	0.0728778	−	0.378126i
$496$	2.61647	+	8.91088i	0.117483	+	0.400111i
$497$	22.0093	−	10.4751i	0.987252	−	0.469872i
$498$	−3.70600	−	5.76664i	−0.166070	−	0.258409i
$499$	7.58248	+	31.2554i	0.339439	+	1.39918i	0.844247	+	0.535954i	$0.180048\pi$
$499$	7.58248	+	31.2554i	0.339439	+	1.39918i	−0.504809	+	0.863231i	$0.668437\pi$
$500$	−36.4487	−	14.5919i	−1.63004	−	0.652568i
$501$	4.70250	+	6.60374i	0.210092	+	0.295033i
$502$	6.96877	−	2.78987i	0.311031	−	0.124518i
$503$	9.48397	+	6.09498i	0.422869	+	0.271762i	0.734721	−	0.678369i	$-0.237313\pi$
$503$	9.48397	+	6.09498i	0.422869	+	0.271762i	−0.311852	+	0.950131i	$0.600949\pi$
$504$	−2.51361	−	0.825691i	−0.111965	−	0.0367792i
$505$		−	13.1349i		−	0.584496i
$506$	7.84178	+	5.22846i	0.348609	+	0.232433i
$507$	4.57473	+	2.64122i	0.203171	+	0.117301i
$508$	−8.19106	+	1.57870i	−0.363419	+	0.0700434i
$509$	−36.3187	−	1.73007i	−1.60980	−	0.0766841i	−0.776722	−	0.629844i	$-0.783119\pi$
$509$	−36.3187	−	1.73007i	−1.60980	−	0.0766841i	−0.833075	+	0.553160i	$0.813422\pi$
$510$	11.0174	+	1.58406i	0.487856	+	0.0701432i
$511$	11.6393	+	15.8098i	0.514891	+	0.699384i
$512$	−0.142315	−	0.989821i	−0.00628949	−	0.0437443i
$513$	4.93519	−	1.19726i	0.217894	−	0.0528605i
$514$	9.05372	−	0.431282i	0.399343	−	0.0190230i
$515$	−5.51115	−	0.526251i	−0.242850	−	0.0231894i
$516$	9.17877	+	8.75194i	0.404073	+	0.385282i
$517$	−17.0851	+	19.7173i	−0.751403	+	0.867166i
$518$	1.27960	+	3.51622i	0.0562223	+	0.154494i
$519$	−7.63341	+	2.24137i	−0.335070	+	0.0983853i
$520$	9.86538	+	7.02511i	0.432626	+	0.308071i
$521$	−0.132060	−	2.77228i	−0.00578565	−	0.121456i	−0.999912	−	0.0132340i	$-0.995787\pi$
$521$	−0.132060	−	2.77228i	−0.00578565	−	0.121456i	0.994127	−	0.108222i	$-0.0345157\pi$
$522$	−1.76499	+	1.68292i	−0.0772515	+	0.0736592i
$523$	−26.9516	+	21.1949i	−1.17851	+	0.926790i	−0.998383	−	0.0568532i	$-0.981893\pi$
$523$	−26.9516	+	21.1949i	−1.17851	+	0.926790i	−0.180127	+	0.983643i	$0.557651\pi$
$524$	18.0041	+	8.22221i	0.786514	+	0.359189i
$525$	−34.1792	+	14.3146i	−1.49170	+	0.624738i
$526$	3.06951	−	4.77625i	0.133837	−	0.208254i
$527$	−22.4073	−	7.75523i	−0.976076	−	0.337823i
$528$	0.982622	−	1.70195i	0.0427631	−	0.0740679i
$529$	−8.84388	−	21.2317i	−0.384517	−	0.923118i
$530$	−13.6409	+	7.87555i	−0.592521	+	0.342092i
$531$	−7.47378	+	6.47607i	−0.324334	+	0.281037i
$532$	−7.08440	+	11.4166i	−0.307148	+	0.494971i
$533$	−3.02206	+	21.0189i	−0.130900	+	0.910428i
$534$	0.750262	+	7.85710i	0.0324670	+	0.340010i
$535$	−25.4780	+	63.6410i	−1.10151	+	2.75144i
$536$	−8.21397	−	8.61457i	−0.354790	−	0.372093i
$537$	−6.55149	+	12.7081i	−0.282718	+	0.548396i
$538$	−12.2464	+	5.59275i	−0.527980	+	0.241121i
$539$	13.4648	+	2.81884i	0.579970	+	0.121416i
$540$	3.29473	+	2.85490i	0.141783	+	0.122855i
$541$	−28.4915	−	5.49129i	−1.22495	−	0.236089i	−0.464549	−	0.885548i	$-0.653783\pi$
$541$	−28.4915	−	5.49129i	−1.22495	−	0.236089i	−0.760397	+	0.649459i	$0.774996\pi$
$542$	0.981579	+	0.238128i	0.0421624	+	0.0102285i
$543$	−0.495029	+	5.18418i	−0.0212437	+	0.222474i
$544$	2.26934	+	1.16993i	0.0972971	+	0.0501601i
$545$	16.5099	−	56.2275i	0.707206	−	2.40852i
$546$	7.25776	−	1.16094i	0.310603	−	0.0496838i
$547$	−9.72143	+	21.2870i	−0.415658	+	0.910165i	0.579781	+	0.814772i	$0.303138\pi$
$547$	−9.72143	+	21.2870i	−0.415658	+	0.910165i	−0.995440	+	0.0953926i	$0.969589\pi$
$548$	−7.30172	−	18.2388i	−0.311914	−	0.779123i
$549$	5.61413	−	2.89429i	0.239605	−	0.123525i
$550$	−5.20909	−	27.0273i	−0.222116	−	1.15245i
$551$	6.19235	+	10.7255i	0.263803	+	0.456920i
$552$	−4.29914	+	2.12541i	−0.182984	+	0.0904635i
$553$	−0.594349	−	0.992842i	−0.0252743	−	0.0422199i
$554$	4.06677	+	4.69330i	0.172781	+	0.199399i
$555$	0.293371	−	6.15863i	0.0124529	−	0.261419i
$556$	−13.1281	+	16.6938i	−0.556756	+	0.707973i
$557$	−19.4530	+	13.8524i	−0.824250	+	0.586946i	−0.912465	−	0.409155i	$-0.865823\pi$
$557$	−19.4530	+	13.8524i	−0.824250	+	0.586946i	0.0882143	+	0.996102i	$0.471884\pi$
$558$	−5.74089	−	7.30013i	−0.243031	−	0.309039i
$559$	−33.8055	−	9.92618i	−1.42982	−	0.419833i
$560$	−11.5111	+	0.730963i	−0.486434	+	0.0308888i
$561$	2.08438	+	4.56415i	0.0880025	+	0.192699i
$562$	−9.60490	+	10.0733i	−0.405158	+	0.424918i
$563$	13.5332	+	39.1016i	0.570356	+	1.64793i	0.747892	+	0.663820i	$0.231066\pi$
$563$	13.5332	+	39.1016i	0.570356	+	1.64793i	−0.177536	+	0.984114i	$0.556813\pi$
$564$	−4.34201	−	12.5454i	−0.182832	−	0.528257i
$565$	−15.3638	+	16.1131i	−0.646359	+	0.677882i
$566$	−7.97979	−	17.4733i	−0.335415	−	0.734457i
$567$	2.64043	−	0.167669i	0.110888	−	0.00704144i
$568$	−8.83967	−	2.59556i	−0.370904	−	0.108907i
$569$	8.00508	+	10.1793i	0.335590	+	0.426738i	0.924335	−	0.381581i	$-0.124620\pi$
$569$	8.00508	+	10.1793i	0.335590	+	0.426738i	−0.588745	+	0.808319i	$0.700378\pi$
$570$	18.0342	−	12.8421i	0.755368	−	0.537895i
$571$	8.55888	−	10.8835i	0.358178	−	0.455460i	−0.573253	−	0.819378i	$-0.694319\pi$
$571$	8.55888	−	10.8835i	0.358178	−	0.455460i	0.931431	+	0.363918i	$0.118561\pi$
$572$	−0.259776	+	5.45336i	−0.0108618	+	0.228016i
$573$	5.79540	+	6.68825i	0.242106	+	0.279406i
$574$	−10.3876	−	17.3522i	−0.433570	−	0.724265i
$575$	−26.0119	+	61.9281i	−1.08477	+	2.58258i
$576$	0.500000	+	0.866025i	0.0208333	+	0.0360844i
$577$	−6.16758	−	32.0004i	−0.256760	−	1.33219i	−0.849835	−	0.527048i	$-0.823299\pi$
$577$	−6.16758	−	32.0004i	−0.256760	−	1.33219i	0.593076	−	0.805147i	$-0.297913\pi$
$578$	9.31622	−	4.80285i	0.387504	−	0.199772i
$579$	0.322297	+	0.805058i	0.0133942	+	0.0334571i
$580$	−4.41660	+	9.67100i	−0.183389	+	0.401567i
$581$	−17.9085	+	2.86462i	−0.742969	+	0.118845i
$582$	1.97859	−	6.73845i	0.0820151	−	0.279318i
$583$	−6.31112	−	3.25361i	−0.261380	−	0.134751i
$584$	0.705341	−	7.38666i	0.0291872	−	0.305662i
$585$	−11.7697	−	2.85529i	−0.486616	−	0.118052i
$586$	−14.0055	−	2.69933i	−0.578561	−	0.111508i
$587$	2.89334	+	2.50709i	0.119421	+	0.103479i	0.712524	−	0.701648i	$-0.247552\pi$
$587$	2.89334	+	2.50709i	0.119421	+	0.103479i	−0.593103	+	0.805126i	$0.702097\pi$
$588$	−4.66792	+	5.21637i	−0.192502	+	0.215120i
$589$	−42.9009	+	19.5922i	−1.76770	+	0.807283i
$590$	−19.7554	+	38.3201i	−0.813316	+	1.57761i
$591$	−0.546758	−	0.573423i	−0.0224906	−	0.0235875i
$592$	0.525633	−	1.31297i	0.0216034	−	0.0539626i
$593$	1.73156	+	18.1338i	0.0711068	+	0.744664i	0.958772	+	0.284175i	$0.0917198\pi$
$593$	1.73156	+	18.1338i	0.0711068	+	0.744664i	−0.887666	+	0.460489i	$0.847674\pi$
$594$	−0.279683	+	1.94524i	−0.0114755	+	0.0798142i
$595$	15.5275	−	25.0227i	0.636565	−	1.02583i
$596$	−11.7542	+	10.1851i	−0.481471	+	0.417197i
$597$	2.71179	−	1.56565i	0.110986	−	0.0640779i
$598$	7.90997	−	10.7208i	0.323463	−	0.438407i
$599$	3.52720	−	6.10929i	0.144117	−	0.249619i	−0.784926	−	0.619590i	$-0.787299\pi$
$599$	3.52720	−	6.10929i	0.144117	−	0.249619i	0.929043	+	0.369971i	$0.120632\pi$
$600$	13.2354	+	4.58083i	0.540335	+	0.187012i
$601$	4.44950	−	6.92356i	0.181499	−	0.282418i	−0.738568	−	0.674179i	$-0.764498\pi$
$601$	4.44950	−	6.92356i	0.181499	−	0.282418i	0.920067	+	0.391761i	$0.128134\pi$
$602$	30.9501	−	12.9621i	1.26143	−	0.528297i
$603$	10.8273	+	4.94466i	0.440922	+	0.201362i
$604$	−2.73269	+	2.14901i	−0.111191	+	0.0874419i
$605$	−22.5210	+	21.4737i	−0.915607	+	0.873030i
$606$	0.143360	+	3.00949i	0.00582359	+	0.122252i
$607$	−18.8699	−	13.4372i	−0.765908	−	0.545400i	0.129004	−	0.991644i	$-0.458822\pi$
$607$	−18.8699	−	13.4372i	−0.765908	−	0.545400i	−0.894911	+	0.446244i	$0.852761\pi$
$608$	4.87263	−	1.43073i	0.197611	−	0.0580240i
$609$	2.20650	+	6.06326i	0.0894117	+	0.245696i
$610$	18.0324	−	20.8105i	0.730109	−	0.842591i
$611$	26.6914	+	25.4502i	1.07982	+	1.02961i
$612$	−2.54160	−	0.242693i	−0.102738	−	0.00981029i
$613$	48.9131	−	2.33002i	1.97558	−	0.0941086i	0.980725	−	0.195393i	$-0.0625981\pi$
$613$	48.9131	−	2.33002i	1.97558	−	0.0941086i	0.994858	+	0.101284i	$0.0322951\pi$
$614$	16.1158	−	3.90965i	0.650381	−	0.157781i
$615$	4.74248	+	32.9846i	0.191235	+	1.33007i
$616$	−3.08264	−	4.18720i	−0.124203	−	0.168707i
$617$	0.850373	+	0.122265i	0.0342347	+	0.00492221i	0.159411	−	0.987212i	$-0.449041\pi$
$617$	0.850373	+	0.122265i	0.0342347	+	0.00492221i	−0.125176	+	0.992135i	$0.539950\pi$
$618$	1.26847	+	0.0604245i	0.0510252	+	0.00243063i
$619$	−20.9435	+	4.03653i	−0.841790	+	0.162242i	−0.591879	−	0.806027i	$-0.701614\pi$
$619$	−20.9435	+	4.03653i	−0.841790	+	0.162242i	−0.249911	+	0.968269i	$0.580401\pi$
$620$	−35.0632	−	20.2438i	−1.40817	−	0.813010i
$621$	3.20125	−	3.57099i	0.128462	−	0.143299i
$622$		−	24.5277i		−	0.983472i
$623$	19.8395	+	6.51705i	0.794853	+	0.261100i
$624$	−2.33704	−	1.50193i	−0.0935566	−	0.0601252i
$625$	93.8879	−	37.5870i	3.75552	−	1.50348i
$626$	−3.18069	−	4.46665i	−0.127126	−	0.178523i
$627$	9.26528	+	3.70926i	0.370020	+	0.148134i
$628$	1.75152	+	7.21987i	0.0698933	+	0.288104i
$629$	1.95218	+	3.03765i	0.0778386	+	0.121119i
$630$	10.4149	−	4.95685i	0.414939	−	0.197486i
$631$	−2.37287	−	8.08126i	−0.0944626	−	0.321710i	0.898682	−	0.438600i	$-0.144526\pi$
$631$	−2.37287	−	8.08126i	−0.0944626	−	0.321710i	−0.993145	+	0.116890i	$0.962707\pi$
$632$	−0.0827709	+	0.429456i	−0.00329245	+	0.0170829i
$633$	7.34052	−	2.54058i	0.291759	−	0.100979i
$634$	−4.64819	+	19.1601i	−0.184603	+	0.760945i
$635$	21.0947	−	29.6233i	0.837117	−	1.17557i
$636$	3.03945	−	1.95334i	0.120522	−	0.0774549i
$637$	4.88583	−	18.8226i	0.193584	−	0.745777i
$638$	−4.74391	+	0.682072i	−0.187813	+	0.0270035i
$639$	9.17114	−	0.875738i	0.362805	−	0.0346436i
$640$	3.42684	+	2.69490i	0.135458	+	0.106525i
$641$	−8.11787	−	15.7465i	−0.320636	−	0.621948i	0.672342	−	0.740240i	$-0.265288\pi$
$641$	−8.11787	−	15.7465i	−0.320636	−	0.621948i	−0.992979	+	0.118292i	$0.962258\pi$
$642$	5.14295	−	14.8596i	0.202976	−	0.586461i
$643$	−15.8305			−0.624294			−0.312147	−	0.950034i	$-0.601048\pi$
$643$	−15.8305			−0.624294			−0.312147	+	0.950034i	$0.601048\pi$
$644$	0.590540	+	12.6748i	0.0232706	+	0.499458i
$645$	−55.2902			−2.17705
$646$	−4.24070	+	12.2527i	−0.166848	+	0.482076i
$647$	13.8859	+	26.9349i	0.545912	+	1.05892i	0.986889	+	0.161403i	$0.0516019\pi$
$647$	13.8859	+	26.9349i	0.545912	+	1.05892i	−0.440977	+	0.897519i	$0.645368\pi$
$648$	−0.786053	−	0.618159i	−0.0308791	−	0.0242836i
$649$	−19.3467	+	1.84739i	−0.759426	+	0.0725164i
$650$	−38.5126	+	5.53728i	−1.51059	+	0.217190i
$651$	−23.7841	+	6.16982i	−0.932171	+	0.241814i
$652$	0.249393	−	0.160275i	0.00976698	−	0.00627685i
$653$	−14.7788	+	20.7539i	−0.578338	+	0.812162i	−0.995308	−	0.0967584i	$-0.969153\pi$
$653$	−14.7788	+	20.7539i	−0.578338	+	0.812162i	0.416970	+	0.908920i	$0.363092\pi$
$654$	−3.16908	+	13.0631i	−0.123921	+	0.510808i
$655$	−81.5419	+	28.2219i	−3.18611	+	1.10272i
$656$	−1.44661	+	7.50572i	−0.0564806	+	0.293049i
$657$	2.09053	+	7.11969i	0.0815593	+	0.277766i
$658$	−35.0132	−	2.78535i	−1.36496	−	0.108584i
$659$	−14.5816	−	22.6894i	−0.568017	−	0.883852i	0.431819	−	0.901960i	$-0.357872\pi$
$659$	−14.5816	−	22.6894i	−0.568017	−	0.883852i	−0.999836	+	0.0181085i	$0.994236\pi$
$660$	2.01989	+	8.32609i	0.0786240	+	0.324093i
$661$	36.8770	+	14.7633i	1.43435	+	0.574227i	0.953181	−	0.302402i	$-0.0977884\pi$
$661$	36.8770	+	14.7633i	1.43435	+	0.574227i	0.481168	+	0.876628i	$0.340213\pi$
$662$	−1.65346	−	2.32196i	−0.0642636	−	0.0902456i
$663$	6.58473	−	2.63613i	0.255730	−	0.102379i
$664$	5.76664	+	3.70600i	0.223789	+	0.143821i
$665$	−11.9937	−	57.3341i	−0.465094	−	2.22332i
$666$			1.41427i			0.0548020i
$667$	10.5554	+	5.03723i	0.408707	+	0.195042i
$668$	−7.02083	−	4.05348i	−0.271644	−	0.156834i
$669$	13.2352	−	2.55088i	0.511703	−	0.0986226i
$670$	51.8328	+	2.46910i	2.00248	+	0.0953897i
$671$	12.2867	+	1.76656i	0.474322	+	0.0681972i
$672$	2.62946	−	0.293116i	0.101434	−	0.0113072i
$673$	−0.120988	−	0.841492i	−0.00466375	−	0.0324371i	0.987357	−	0.158514i	$-0.0506704\pi$
$673$	−0.120988	−	0.841492i	−0.00466375	−	0.0324371i	−0.992020	+	0.126077i	$0.959761\pi$
$674$	11.3557	−	2.75486i	0.437404	−	0.106113i
$675$	−13.9899	+	0.666420i	−0.538471	+	0.0256505i
$676$	−5.25853	−	0.502128i	−0.202251	−	0.0193126i
$677$	−2.42591	−	2.31310i	−0.0932353	−	0.0888996i	0.642028	−	0.766681i	$-0.278093\pi$
$677$	−2.42591	−	2.31310i	−0.0932353	−	0.0888996i	−0.735264	+	0.677781i	$0.762942\pi$
$678$	3.34430	−	3.85953i	0.128437	−	0.148224i
$679$	−14.2332	−	11.9443i	−0.546220	−	0.458381i
$680$	−10.6798	+	3.13587i	−0.409551	+	0.120255i
$681$	22.1277	+	15.7570i	0.847934	+	0.603811i
$682$	−0.868435	−	18.2307i	−0.0332541	−	0.698089i
$683$	30.6655	−	29.2395i	1.17338	−	1.11882i	0.182623	−	0.983183i	$-0.441541\pi$
$683$	30.6655	−	29.2395i	1.17338	−	1.11882i	0.990759	−	0.135634i	$-0.0433072\pi$
$684$	−3.99185	+	3.13922i	−0.152632	+	0.120031i
$685$	77.9084	+	35.5796i	2.97673	+	1.35943i
$686$	7.69101	+	16.8478i	0.293644	+	0.643252i
$687$	−5.92492	+	9.21936i	−0.226050	+	0.351740i
$688$	−11.9850	−	4.14804i	−0.456923	−	0.158143i
$689$	−5.01855	+	8.69238i	−0.191192	+	0.331153i
$690$	7.17032	−	19.6397i	0.272969	−	0.747671i
$691$	12.0070	−	6.93223i	0.456767	−	0.263714i	−0.253917	−	0.967226i	$-0.581719\pi$
$691$	12.0070	−	6.93223i	0.456767	−	0.263714i	0.710684	+	0.703512i	$0.248386\pi$
$692$	6.01250	−	5.20986i	0.228561	−	0.198049i
$693$	4.41805	+	2.74156i	0.167828	+	0.104143i
$694$	−3.75419	+	26.1110i	−0.142507	+	0.991159i
$695$	−8.80084	−	92.1666i	−0.333835	−	3.49608i
$696$	0.906384	−	2.26404i	0.0343564	−	0.0858181i
$697$	−13.4676	−	14.1244i	−0.510120	−	0.534999i
$698$	0.191125	−	0.370731i	0.00723420	−	0.0140324i
$699$	1.30978	−	0.598156i	0.0495404	−	0.0226243i
$700$	25.1440	−	27.2195i	0.950356	−	1.02880i
$701$	29.9948	+	25.9907i	1.13289	+	0.981655i	0.999955	−	0.00947022i	$-0.00301451\pi$
$701$	29.9948	+	25.9907i	1.13289	+	0.981655i	0.132935	+	0.991125i	$0.457560\pi$
$702$	2.72785	+	0.525749i	0.102956	+	0.0198431i
$703$	6.97971	+	1.69326i	0.263245	+	0.0638625i
$704$	−0.186808	+	1.95635i	−0.00704060	+	0.0737325i
$705$	51.4419	+	26.5201i	1.93741	+	0.998806i
$706$	6.43633	−	21.9201i	0.242234	−	0.824974i
$707$	7.44631	+	2.84526i	0.280047	+	0.107007i
$708$	4.10813	−	8.99556i	0.154393	−	0.338074i
$709$	12.2027	+	30.4808i	0.458281	+	1.14473i	0.960075	+	0.279744i	$0.0902495\pi$
$709$	12.2027	+	30.4808i	0.458281	+	1.14473i	−0.501793	+	0.864988i	$0.667326\pi$
$710$	35.6992	−	18.4042i	1.33977	−	0.690697i
$711$	−0.0827709	−	0.429456i	−0.00310415	−	0.0161059i
$712$	−3.94642	−	6.83540i	−0.147898	−	0.256167i
$713$	−22.9167	+	38.1913i	−0.858236	+	1.43027i
$714$	−3.28457	+	5.90271i	−0.122922	+	0.220903i
$715$	−15.5865	−	17.9877i	−0.582901	−	0.672703i
$716$	0.680302	−	14.2813i	0.0254241	−	0.533717i
$717$	6.62188	−	8.42040i	0.247299	−	0.314466i
$718$	2.51419	−	1.79035i	0.0938288	−	0.0668152i
$719$	−14.4060	−	18.3188i	−0.537254	−	0.683175i	0.439326	−	0.898328i	$-0.355217\pi$
$719$	−14.4060	−	18.3188i	−0.537254	−	0.683175i	−0.976580	+	0.215153i	$0.930975\pi$
$720$	−4.18297	−	1.22823i	−0.155890	−	0.0457734i
$721$	1.49215	−	3.01033i	0.0555706	−	0.112111i
$722$	2.82049	+	6.17601i	0.104968	+	0.229847i
$723$	0.00136038	−	0.00142673i	5.05932e−5	−	5.30607e-5i
$724$	−1.70329	−	4.92134i	−0.0633023	−	0.182900i
$725$	−11.1714	−	32.2776i	−0.414895	−	1.19876i
$726$	4.92566	−	5.16588i	0.182808	−	0.191724i
$727$	11.9405	+	26.1461i	0.442849	+	0.969704i	0.991067	+	0.133368i	$0.0425793\pi$
$727$	11.9405	+	26.1461i	0.442849	+	0.969704i	−0.548218	+	0.836336i	$0.684693\pi$
$728$	−6.11962	+	4.07101i	−0.226808	+	0.150882i
$729$	0.959493	+	0.281733i	0.0355368	+	0.0104345i
$730$	19.9969	+	25.4281i	0.740117	+	0.941136i
$731$	26.3764	−	18.7825i	0.975565	−	0.694696i
$732$	−3.90446	+	4.96493i	−0.144313	+	0.183509i
$733$	−1.09915	+	23.0739i	−0.0405979	+	0.852255i	0.883112	+	0.469162i	$0.155444\pi$
$733$	−1.09915	+	23.0739i	−0.0405979	+	0.852255i	−0.923710	+	0.383093i	$0.874859\pi$
$734$	−6.64702	−	7.67107i	−0.245346	−	0.283144i
$735$	−0.965121	−	30.5016i	−0.0355990	−	1.12507i
$736$	3.02771	−	3.71927i	0.111603	−	0.137094i
$737$	11.6961	+	20.2582i	0.430831	+	0.746222i
$738$	−1.44661	−	7.50572i	−0.0532504	−	0.276289i
$739$	33.5103	−	17.2758i	1.23270	−	0.635500i	0.286187	−	0.958174i	$-0.407612\pi$
$739$	33.5103	−	17.2758i	1.23270	−	0.635500i	0.946510	+	0.322674i	$0.104582\pi$
$740$	2.29153	+	5.72395i	0.0842381	+	0.210417i
$741$	5.86063	−	12.8330i	0.215296	−	0.471431i
$742$	−1.50987	−	9.43911i	−0.0554291	−	0.346521i
$743$	10.1337	−	34.5121i	0.371768	−	1.26613i	−0.535127	−	0.844772i	$-0.679736\pi$
$743$	10.1337	−	34.5121i	0.371768	−	1.26613i	0.906896	−	0.421355i	$-0.138446\pi$
$744$	8.25468	+	4.25558i	0.302631	+	0.156017i
$745$	6.44522	−	67.4974i	0.236135	−	2.47291i
$746$	28.9112	+	7.01379i	1.05852	+	0.256793i
$747$	−6.73094	−	1.29728i	−0.246272	−	0.0474651i
$748$	−3.79203	−	3.28582i	−0.138650	−	0.120141i
$749$	−30.5597	−	28.2295i	−1.11663	−	1.03148i
$750$	−35.7131	+	16.3096i	−1.30406	+	0.595544i
$751$	−1.62280	+	3.14779i	−0.0592168	+	0.114865i	−0.916586	−	0.399837i	$-0.869067\pi$
$751$	−1.62280	+	3.14779i	−0.0592168	+	0.114865i	0.857370	+	0.514701i	$0.172097\pi$
$752$	9.16119	+	9.60798i	0.334074	+	0.350367i
$753$	2.78987	−	6.96877i	0.101669	−	0.253956i
$754$	0.643996	+	6.74423i	0.0234529	+	0.245610i
$755$	2.15690	−	15.0016i	0.0784977	−	0.545964i
$756$	−2.33217	+	1.24939i	−0.0848202	+	0.0454400i
$757$	16.3182	−	14.1398i	0.593096	−	0.513921i	−0.305792	−	0.952098i	$-0.598921\pi$
$757$	16.3182	−	14.1398i	0.593096	−	0.513921i	0.898889	+	0.438177i	$0.144376\pi$
$758$	24.1080	−	13.9188i	0.875644	−	0.505553i
$759$	9.19546	−	2.06731i	0.333774	−	0.0750387i
$760$	−11.0697	+	19.1732i	−0.401539	+	0.695486i
$761$	4.41489	+	1.52801i	0.160040	+	0.0553903i	0.405913	−	0.913912i	$-0.366954\pi$
$761$	4.41489	+	1.52801i	0.160040	+	0.0553903i	−0.245873	+	0.969302i	$0.579075\pi$
$762$	−4.50992	+	7.01757i	−0.163377	+	0.254220i
$763$	28.2996	+	21.5395i	1.02451	+	0.779783i
$764$	−8.05008	−	3.67635i	−0.291242	−	0.133006i
$765$	8.74928	−	6.88051i	0.316331	−	0.248765i
$766$	−3.30733	+	3.15353i	−0.119499	+	0.113942i
$767$	1.30721	+	27.4416i	0.0472005	+	0.990860i
$768$	−0.814576	−	0.580057i	−0.0293935	−	0.0209310i
$769$	14.0274	−	4.11880i	0.505839	−	0.148528i	−0.0188488	−	0.999822i	$-0.506000\pi$
$769$	14.0274	−	4.11880i	0.505839	−	0.148528i	0.524688	+	0.851295i	$0.324182\pi$
$770$	22.3232	+	3.93735i	0.804471	+	0.141892i
$771$	5.93565	−	6.85011i	0.213767	−	0.246701i
$772$	−0.627604	−	0.598419i	−0.0225880	−	0.0215376i
$773$	−22.5405	−	2.15235i	−0.810724	−	0.0774148i	−0.318544	−	0.947908i	$-0.603194\pi$
$773$	−22.5405	−	2.15235i	−0.810724	−	0.0774148i	−0.492180	+	0.870493i	$0.663800\pi$
$774$	12.6681	−	0.603458i	0.455347	−	0.0216909i
$775$	126.406	−	30.6657i	4.54063	−	1.10155i
$776$	0.999467	+	6.95144i	0.0358788	+	0.249542i
$777$	3.42783	+	1.50038i	0.122973	+	0.0538260i
$778$	0.137851	+	0.0198200i	0.00494220	+	0.000710582i
$779$	−38.7742	−	1.84704i	−1.38923	−	0.0661771i
$780$	11.8922	−	2.29203i	0.425809	−	0.0820680i
$781$	15.6798	+	9.05276i	0.561069	+	0.323933i
$782$	3.25115	+	11.8050i	0.116261	+	0.422146i
$783$			2.43873i			0.0871530i
$784$	2.07913	−	6.68410i	0.0742545	−	0.238718i
$785$	−27.2469	−	17.5105i	−0.972482	−	0.624976i
$786$	18.3750	−	7.35623i	0.655413	−	0.262388i
$787$	−15.0373	−	21.1169i	−0.536021	−	0.752736i	0.454403	−	0.890796i	$-0.349853\pi$
$787$	−15.0373	−	21.1169i	−0.536021	−	0.752736i	−0.990424	+	0.138061i	$0.955913\pi$
$788$	0.735557	+	0.294473i	0.0262031	+	0.0104902i
$789$	−1.33853	−	5.51749i	−0.0476529	−	0.196428i
$790$	−1.03084	−	1.60401i	−0.0366756	−	0.0570683i
$791$	−5.80658	−	12.2003i	−0.206458	−	0.433791i
$792$	−0.553673	−	1.88564i	−0.0196739	−	0.0670032i
$793$	3.32078	−	17.2298i	0.117924	−	0.611849i
$794$	−0.700416	+	0.242416i	−0.0248568	+	0.00860304i
$795$	−3.71346	+	15.3071i	−0.131703	+	0.542887i
$796$	−1.81634	+	2.55069i	−0.0643783	+	0.0904067i
$797$	12.9045	−	8.29321i	0.457101	−	0.293761i	−0.291756	−	0.956493i	$-0.594240\pi$
$797$	12.9045	−	8.29321i	0.457101	−	0.293761i	0.748857	+	0.662732i	$0.230603\pi$
$798$	3.37377	+	13.0056i	0.119430	+	0.460392i
$799$	−33.5496	+	4.82371i	−1.18690	+	0.170651i
$800$	−13.9423	+	1.33133i	−0.492936	+	0.0470697i
$801$	6.20419	+	4.87903i	0.219214	+	0.172392i
$802$	−5.06205	−	9.81901i	−0.178747	−	0.346721i
$803$	−4.76951	+	13.7806i	−0.168312	+	0.486307i
$804$	−11.9029			−0.419785
$805$	−39.9947	−	38.2145i	−1.40963	−	1.34688i
$806$	−25.7999			−0.908764
$807$	−4.40333	+	12.7226i	−0.155005	+	0.447856i
$808$	−1.38059	−	2.67797i	−0.0485690	−	0.0942108i
$809$	17.9292	+	14.0997i	0.630358	+	0.495719i	0.881471	−	0.472239i	$-0.156554\pi$
$809$	17.9292	+	14.0997i	0.630358	+	0.495719i	−0.251113	+	0.967958i	$0.580796\pi$
$810$	4.33982	−	0.414402i	0.152486	−	0.0145606i
$811$	−35.4164	+	5.09210i	−1.24364	+	0.178808i	−0.732545	−	0.680718i	$-0.761668\pi$
$811$	−35.4164	+	5.09210i	−1.24364	+	0.178808i	−0.511091	+	0.859526i	$0.670759\pi$
$812$	−4.52587	−	4.59873i	−0.158827	−	0.161384i
$813$	0.849709	−	0.546075i	0.0298006	−	0.0191517i
$814$	−1.61221	+	2.26403i	−0.0565078	+	0.0793541i
$815$	−0.304697	+	1.25598i	−0.0106731	+	0.0439949i
$816$	2.41274	−	0.835057i	0.0844627	−	0.0292328i
$817$	12.1889	−	63.2423i	0.426437	−	2.21257i
$818$	−1.76600	−	6.01444i	−0.0617467	−	0.210290i
$819$	4.16821	−	6.05383i	0.145649	−	0.211538i
$820$	−18.0162	−	28.0338i	−0.629154	−	0.978982i
$821$	−9.14211	−	37.6843i	−0.319062	−	1.31519i	−0.875063	−	0.484010i	$-0.839180\pi$
$821$	−9.14211	−	37.6843i	−0.319062	−	1.31519i	0.556001	−	0.831182i	$-0.312335\pi$
$822$	−18.2388	−	7.30172i	−0.636152	−	0.254677i
$823$	21.0470	+	29.5564i	0.733653	+	1.03027i	0.997833	+	0.0657978i	$0.0209592\pi$
$823$	21.0470	+	29.5564i	0.733653	+	1.03027i	−0.264180	+	0.964473i	$0.585101\pi$
$824$	−1.17894	+	0.471976i	−0.0410703	+	0.0164421i
$825$	−23.1553	−	14.8810i	−0.806163	−	0.518089i
$826$	−17.4446	−	19.5003i	−0.606977	−	0.678503i
$827$			14.5033i			0.504331i	0.967684	+	0.252165i	$0.0811427\pi$
$827$			14.5033i			0.504331i	−0.967684	+	0.252165i	$0.918857\pi$
$828$	−1.42852	+	4.57814i	−0.0496444	+	0.159101i
$829$	−32.6402	−	18.8448i	−1.13364	−	0.654508i	−0.188794	−	0.982017i	$-0.560458\pi$
$829$	−32.6402	−	18.8448i	−1.13364	−	0.654508i	−0.944848	+	0.327508i	$0.893791\pi$
$830$	−29.3439	+	5.65558i	−1.01854	+	0.196308i
$831$	6.20310	+	0.295490i	0.215183	+	0.0102504i
$832$	2.74977	+	0.395358i	0.0953312	+	0.0137066i
$833$	10.8221	+	14.2231i	0.374963	+	0.492800i
$834$	3.02240	+	21.0213i	0.104657	+	0.727907i
$835$	34.3465	−	8.33237i	1.18861	−	0.288354i
$836$	−9.96888	+	0.474876i	−0.344781	+	0.0164239i
$837$	−9.24502	−	0.882793i	−0.319555	−	0.0305138i
$838$	−1.72772	−	1.64737i	−0.0596830	−	0.0569076i
$839$	3.45192	−	3.98372i	0.119173	−	0.137533i	−0.693028	−	0.720911i	$-0.743724\pi$
$839$	3.45192	−	3.98372i	0.119173	−	0.137533i	0.812201	+	0.583377i	$0.198269\pi$
$840$	−7.41456	+	8.83541i	−0.255827	+	0.304851i
$841$	22.1188	−	6.49467i	0.762718	−	0.223954i
$842$	−16.3801	−	11.6642i	−0.564494	−	0.401975i
$843$	0.662271	+	13.9028i	0.0228098	+	0.478837i
$844$	−5.62177	+	5.36035i	−0.193509	+	0.184511i
$845$	18.1021	−	14.2357i	0.622732	−	0.489722i
$846$	−12.0759	−	5.51487i	−0.415177	−	0.189605i
$847$	−7.29519	−	17.4189i	−0.250666	−	0.598522i
$848$	−1.95334	+	3.03945i	−0.0670779	+	0.104375i
$849$	−18.1527	−	6.28271i	−0.622999	−	0.215622i
$850$	17.8794	−	30.9681i	0.613260	−	1.06220i
$851$	6.33836	−	2.41434i	0.217276	−	0.0827626i
$852$	−7.97857	+	4.60643i	−0.273341	+	0.157814i
$853$	−35.9329	+	31.1360i	−1.23032	+	1.06608i	−0.234748	+	0.972056i	$0.575426\pi$
$853$	−35.9329	+	31.1360i	−1.23032	+	1.06608i	−0.995570	+	0.0940201i	$0.970028\pi$
$854$	7.89151	+	14.7306i	0.270042	+	0.504072i
$855$	3.15076	−	21.9140i	0.107754	−	0.749443i
$856$	1.49470	+	15.6532i	0.0510878	+	0.535016i
$857$	−0.814996	+	2.03576i	−0.0278397	+	0.0695403i	−0.941636	−	0.336632i	$-0.890712\pi$
$857$	−0.814996	+	2.03576i	−0.0278397	+	0.0695403i	0.913797	+	0.406172i	$0.133137\pi$
$858$	3.76752	+	3.95126i	0.128621	+	0.134894i
$859$	−21.7995	+	42.2851i	−0.743789	+	1.44275i	0.147381	+	0.989080i	$0.452916\pi$
$859$	−21.7995	+	42.2851i	−0.743789	+	1.44275i	−0.891170	+	0.453669i	$0.850115\pi$
$860$	50.2937	−	22.9684i	1.71500	−	0.783215i
$861$	−19.7266	−	4.45651i	−0.672281	−	0.151877i
$862$	4.01638	+	3.48021i	0.136798	+	0.118536i
$863$	4.71744	+	0.909213i	0.160584	+	0.0309500i	0.268909	−	0.963166i	$-0.413337\pi$
$863$	4.71744	+	0.909213i	0.160584	+	0.0309500i	−0.108326	+	0.994115i	$0.534549\pi$
$864$	0.971812	+	0.235759i	0.0330617	+	0.00802068i
$865$	−3.29685	+	34.5262i	−0.112096	+	1.17393i
$866$	−0.398822	−	0.205607i	−0.0135525	−	0.00698681i
$867$	2.95295	−	10.0568i	0.100287	−	0.341547i
$868$	19.0717	−	15.4925i	0.647336	−	0.525850i
$869$	0.357057	−	0.781846i	0.0121123	−	0.0265223i
$870$	3.95143	+	9.87020i	0.133966	+	0.334631i
$871$	29.3911	−	15.1522i	0.995879	−	0.513411i
$872$	−2.54392	−	13.1991i	−0.0861480	−	0.446978i
$873$	−3.51146	−	6.08203i	−0.118845	−	0.205846i
$874$	20.8837	+	12.5313i	0.706401	+	0.423876i
$875$	1.64277	+	103.862i	0.0555358	+	3.51118i
$876$	−4.85924	−	5.60786i	−0.164178	−	0.189472i
$877$	−0.0564485	+	1.18500i	−0.00190613	+	0.0400146i	−0.999620	−	0.0275651i	$-0.991225\pi$
$877$	−0.0564485	+	1.18500i	−0.00190613	+	0.0400146i	0.997714	+	0.0675797i	$0.0215277\pi$
$878$	−8.47715	+	10.7796i	−0.286090	+	0.363793i
$879$	−11.6185	+	8.27349i	−0.391882	+	0.279058i
$880$	−5.29614	−	6.73458i	−0.178533	−	0.227023i
$881$	−19.3323	−	5.67647i	−0.651321	−	0.191245i	−0.0606518	−	0.998159i	$-0.519318\pi$
$881$	−19.3323	−	5.67647i	−0.651321	−	0.191245i	−0.590669	+	0.806914i	$0.701136\pi$
$882$	0.554036	+	6.97804i	0.0186554	+	0.234963i
$883$	2.52981	+	5.53951i	0.0851348	+	0.186419i	0.947411	−	0.320019i	$-0.103689\pi$
$883$	2.52981	+	5.53951i	0.0851348	+	0.186419i	−0.862276	+	0.506438i	$0.830962\pi$
$884$	−4.89459	+	5.13330i	−0.164623	+	0.172652i
$885$	14.1008	+	40.7415i	0.473992	+	1.36951i
$886$	1.72992	+	4.99828i	0.0581179	+	0.167921i
$887$	10.8857	−	11.4166i	0.365506	−	0.383332i	−0.515140	−	0.857106i	$-0.672260\pi$
$887$	10.8857	−	11.4166i	0.365506	−	0.383332i	0.880647	+	0.473774i	$0.157109\pi$
$888$	−0.587511	−	1.28647i	−0.0197156	−	0.0431711i
$889$	12.2243	+	18.3757i	0.409989	+	0.616302i
$890$	33.0155	+	9.69422i	1.10668	+	0.324951i
$891$	1.21483	+	1.54479i	0.0406984	+	0.0517523i
$892$	−10.9795	+	7.81846i	−0.367621	+	0.261782i
$893$	−41.6750	+	52.9940i	−1.39460	+	1.77338i
$894$	−0.740044	+	15.5354i	−0.0247508	+	0.519583i
$895$	40.8180	+	47.1064i	1.36439	+	1.57459i
$896$	−2.27008	+	1.35895i	−0.0758381	+	0.0453992i
$897$	−2.30052	−	13.1229i	−0.0768122	−	0.438162i
$898$	−4.41351	−	7.64442i	−0.147281	−	0.255098i
$899$	−4.28629	−	22.2394i	−0.142956	−	0.741724i
$900$	12.4488	−	6.41780i	0.414960	−	0.213927i
$901$	−3.42843	−	8.56380i	−0.114217	−	0.285302i
$902$	6.24038	−	13.6645i	0.207782	−	0.454979i
$903$	11.9768	−	31.3445i	0.398564	−	1.04308i
$904$	−1.43878	+	4.90003i	−0.0478531	+	0.162973i
$905$	20.1797	+	10.4034i	0.670796	+	0.345819i
$906$	−0.330459	+	3.46072i	−0.0109788	+	0.114975i
$907$	−11.8302	−	2.86999i	−0.392817	−	0.0952963i	0.0344854	−	0.999405i	$-0.489021\pi$
$907$	−11.8302	−	2.86999i	−0.392817	−	0.0952963i	−0.427302	+	0.904109i	$0.640536\pi$
$908$	−26.6738	−	5.14095i	−0.885200	−	0.170608i
$909$	2.27700	+	1.97303i	0.0755233	+	0.0654413i
$910$	7.06098	−	31.2552i	0.234069	−	1.03610i
$911$	−41.5806	+	18.9892i	−1.37763	+	0.629140i	−0.960134	−	0.279540i	$-0.909818\pi$
$911$	−41.5806	+	18.9892i	−1.37763	+	0.629140i	−0.417491	+	0.908681i	$0.637091\pi$
$912$	2.32703	−	4.51381i	0.0770557	−	0.149467i
$913$	−9.29633	−	9.74971i	−0.307663	−	0.322668i
$914$	−0.519463	+	1.29755i	−0.0171823	+	0.0429193i
$915$	−2.61748	−	27.4115i	−0.0865312	−	0.906196i
$916$	1.55964	−	10.8475i	0.0515319	−	0.358412i
$917$	1.66416	−	52.3403i	0.0549555	−	1.72843i
$918$	−1.92955	+	1.67196i	−0.0636846	+	0.0551830i
$919$	−31.1986	+	18.0125i	−1.02915	+	0.594178i	−0.916740	−	0.399485i	$-0.869189\pi$
$919$	−31.1986	+	18.0125i	−1.02915	+	0.594178i	−0.112406	+	0.993662i	$0.535856\pi$
$920$	1.63628	+	20.8436i	0.0539466	+	0.687192i
$921$	8.29163	−	14.3615i	0.273218	−	0.473228i
$922$	14.9212	+	5.16428i	0.491404	+	0.170077i
$923$	13.8370	−	21.5308i	0.455451	−	0.708696i
$924$	−5.15768	−	0.658487i	−0.169675	−	0.0216626i
$925$	−18.0180	−	8.22852i	−0.592427	−	0.270552i
$926$	−1.83521	+	1.44323i	−0.0603088	+	0.0474274i
$927$	0.919073	−	0.876335i	0.0301863	−	0.0287826i
$928$	0.116039	+	2.43597i	0.00380918	+	0.0799645i
$929$	5.44569	+	3.87786i	0.178667	+	0.127228i	0.665892	−	0.746048i	$-0.268051\pi$
$929$	5.44569	+	3.87786i	0.178667	+	0.127228i	−0.487224	+	0.873277i	$0.661991\pi$
$930$	−38.8475	+	11.4067i	−1.27386	+	0.374039i
$931$	35.1013	+	5.62029i	1.15040	+	0.184197i
$932$	−0.942934	+	1.08820i	−0.0308868	+	0.0356453i
$933$	−17.7516	−	16.9261i	−0.581160	−	0.554135i
$934$	37.2735	+	3.55919i	1.21963	+	0.116460i
$935$	21.8497	−	1.04083i	0.714560	−	0.0340387i
$936$	−2.69974	+	0.654950i	−0.0882438	+	0.0214077i
$937$	−6.32137	−	43.9661i	−0.206510	−	1.43631i	−0.784431	−	0.620216i	$-0.787045\pi$
$937$	−6.32137	−	43.9661i	−0.206510	−	1.43631i	0.577921	−	0.816093i	$-0.303864\pi$
$938$	−12.6277	+	28.8497i	−0.412308	+	0.941975i
$939$	−5.42759	−	0.780370i	−0.177123	−	0.0254664i
$940$	−57.8100	−	2.75383i	−1.88556	−	0.0898201i
$941$	−12.8426	+	2.47521i	−0.418658	+	0.0806897i	−0.394230	−	0.919012i	$-0.628989\pi$
$941$	−12.8426	+	2.47521i	−0.418658	+	0.0806897i	−0.0244281	+	0.999702i	$0.507776\pi$
$942$	6.43395	+	3.71464i	0.209629	+	0.121030i
$943$	−31.1689	+	19.2965i	−1.01500	+	0.628380i
$944$			9.88923i			0.321867i
$945$	3.59965	−	10.9582i	0.117097	−	0.356471i
$946$	20.9676	+	13.4751i	0.681715	+	0.438112i
$947$	4.83849	−	1.93704i	0.157230	−	0.0629453i	−0.291713	−	0.956506i	$-0.594225\pi$
$947$	4.83849	−	1.93704i	0.157230	−	0.0629453i	0.448942	+	0.893561i	$0.351801\pi$
$948$	0.253694	+	0.356263i	0.00823959	+	0.0115709i
$949$	19.1372	+	7.66139i	0.621221	+	0.248699i
$950$	−16.7686	−	69.1211i	−0.544045	−	2.24258i
$951$	10.6592	+	16.5860i	0.345648	+	0.537839i
$952$	0.535679	−	6.73375i	0.0173615	−	0.218242i
$953$	−5.29020	−	18.0168i	−0.171366	−	0.583620i	−0.999726	−	0.0234228i	$-0.992544\pi$
$953$	−5.29020	−	18.0168i	−0.171366	−	0.583620i	0.828359	−	0.560197i	$-0.189275\pi$
$954$	0.683766	−	3.54771i	0.0221377	−	0.114861i
$955$	36.4594	−	12.6187i	1.17980	−	0.408332i
$956$	−2.52551	+	10.4103i	−0.0816808	+	0.336693i
$957$	−2.78004	+	3.90401i	−0.0898658	+	0.126199i
$958$	−13.6142	+	8.74929i	−0.439854	+	0.282677i
$959$	−37.0468	+	36.4599i	−1.19630	+	1.17735i
$960$	4.31518	−	0.620430i	0.139272	−	0.0200243i
$961$	54.9996	−	5.25183i	1.77418	−	0.169414i
$962$	3.08834	+	2.42870i	0.0995721	+	0.0783044i
$963$	−7.20534	−	13.9764i	−0.232189	−	0.450384i
$964$	−0.000644764		0.00186292i	−2.07665e−5		6.00007e-5i
$965$	3.78050			0.121699
$966$	9.58072	+	8.31924i	0.308255	+	0.267667i
$967$	−3.07052			−0.0987412			−0.0493706	−	0.998781i	$-0.515722\pi$
$967$	−3.07052			−0.0987412			−0.0493706	+	0.998781i	$0.515722\pi$
$968$	−2.33455	+	6.74524i	−0.0750353	+	0.216800i
$969$	5.94128	+	11.5245i	0.190861	+	0.370220i
$970$	−24.0665	−	18.9261i	−0.772728	−	0.607680i
$971$	11.7111	−	1.11828i	0.375828	−	0.0358872i	0.0945670	−	0.995519i	$-0.469853\pi$
$971$	11.7111	−	1.11828i	0.375828	−	0.0358872i	0.281261	+	0.959631i	$0.409247\pi$
$972$	−0.989821	+	0.142315i	−0.0317485	+	0.00456475i
$973$	54.1565	+	14.9757i	1.73618	+	0.480098i
$974$	−4.84116	+	3.11123i	−0.155121	+	0.0996902i
$975$	−22.5692	+	31.6940i	−0.722794	+	1.01502i
$976$	1.48912	−	6.13823i	0.0476655	−	0.196480i
$977$	3.54970	−	1.22856i	0.113565	−	0.0393052i	−0.269695	−	0.962946i	$-0.586923\pi$
$977$	3.54970	−	1.22856i	0.113565	−	0.0393052i	0.383259	+	0.923641i	$0.374802\pi$
$978$	0.0561042	−	0.291096i	0.00179402	−	0.00930824i
$979$	4.37005	+	14.8830i	0.139667	+	0.475664i
$980$	13.5487	+	27.3443i	0.432799	+	0.873483i
$981$	7.26731	+	11.3082i	0.232027	+	0.361042i
$982$	−1.05291	−	4.34016i	−0.0335998	−	0.138500i
$983$	50.9082	+	20.3806i	1.62372	+	0.650039i	0.992124	−	0.125260i	$-0.0399766\pi$
$983$	50.9082	+	20.3806i	1.62372	+	0.650039i	0.631594	+	0.775299i	$0.282401\pi$
$984$	4.43387	+	6.22650i	0.141347	+	0.198494i
$985$	−3.20670	+	1.28377i	−0.102174	+	0.0409043i
$986$	−5.23803	−	3.36628i	−0.166813	−	0.107204i
$987$	−26.1777	+	23.4182i	−0.833247	+	0.745408i
$988$			14.1079i			0.448832i
$989$	−24.3307	−	55.7448i	−0.773670	−	1.77258i
$990$	7.41975	+	4.28380i	0.235815	+	0.136148i
$991$	−60.6098	+	11.6816i	−1.92533	+	0.371078i	−0.999968	−	0.00800006i	$-0.997453\pi$
$991$	−60.6098	+	11.6816i	−1.92533	+	0.371078i	−0.925365	+	0.379078i	$0.876241\pi$
$992$	−9.27656	−	0.441897i	−0.294531	−	0.0140302i
$993$	−2.82150	−	0.405671i	−0.0895376	−	0.0128736i
$994$	2.70044	+	24.2249i	0.0856526	+	0.768366i
$995$	−1.94276	−	13.5122i	−0.0615895	−	0.428364i
$996$	6.66159	−	1.61609i	0.211081	−	0.0512076i
$997$	13.2609	−	0.631695i	0.419977	−	0.0200060i	0.163470	−	0.986548i	$-0.447731\pi$
$997$	13.2609	−	0.631695i	0.419977	−	0.0200060i	0.256507	+	0.966542i	$0.417428\pi$
$998$	−32.0164	−	3.05719i	−1.01346	−	0.0967738i
$999$	1.02356	+	0.975961i	0.0323839	+	0.0308780i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.b.493.16	yes	320
7.5	odd	6	inner	966.2.be.b.355.16	yes	320
23.7	odd	22	inner	966.2.be.b.283.16	yes	320
161.145	even	66	inner	966.2.be.b.145.16	✓	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.b.145.16	✓	320	161.145	even	66	inner
966.2.be.b.283.16	yes	320	23.7	odd	22	inner
966.2.be.b.355.16	yes	320	7.5	odd	6	inner
966.2.be.b.493.16	yes	320	1.1	even	1	trivial

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.be (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.327068 + 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(4.33982 - 0.414402i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-0.705154 + 2.55005i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\)	\(q+(-0.327068 + 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(4.33982 - 0.414402i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-0.705154 + 2.55005i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-1.02780 + 4.23667i) q^{10} +(-1.85716 + 0.642768i) q^{11} +(0.189251 - 0.981929i) q^{12} +(0.782667 + 2.66552i) q^{13} +(-2.17917 - 1.50041i) q^{14} +(2.35696 + 3.66749i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-2.37027 - 0.948913i) q^{17} +(-0.580057 - 0.814576i) q^{18} +(-4.71457 + 1.88743i) q^{19} +(-3.66749 - 2.35696i) q^{20} +(-2.58970 + 0.541735i) q^{21} -1.96524i q^{22} +(-2.66046 + 3.99023i) q^{23} +(0.866025 + 0.500000i) q^{24} +(13.7526 - 2.65060i) q^{25} +(-2.77490 - 0.132185i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(2.13063 - 1.56858i) q^{28} +(-0.347067 - 2.41391i) q^{29} +(-4.23667 + 1.02780i) q^{30} +(9.27656 - 0.441897i) q^{31} +(-0.995472 - 0.0950560i) q^{32} +(-1.42231 - 1.35617i) q^{33} +(1.67196 - 1.92955i) q^{34} +(-2.00349 + 11.3590i) q^{35} +(0.959493 - 0.281733i) q^{36} +(-1.15203 - 0.820359i) q^{37} +(-0.241637 - 5.07259i) q^{38} +(-2.01057 + 1.91707i) q^{39} +(3.42684 - 2.69490i) q^{40} +(6.95309 + 3.17537i) q^{41} +(0.335066 - 2.62445i) q^{42} +(-6.85668 + 10.6692i) q^{43} +(1.85716 + 0.642768i) q^{44} +(-2.17978 + 3.77549i) q^{45} +(-2.90062 - 3.81922i) q^{46} +(11.4970 - 6.63778i) q^{47} +(-0.755750 + 0.654861i) q^{48} +(-6.00552 - 3.59636i) q^{49} +(-1.99323 + 13.8632i) q^{50} +(-0.242693 - 2.54160i) q^{51} +(1.03250 - 2.57905i) q^{52} +(2.49326 + 2.61485i) q^{53} +(0.458227 - 0.888835i) q^{54} +(-7.79336 + 3.55911i) q^{55} +(0.785448 + 2.52647i) q^{56} +(-3.83796 - 3.32561i) q^{57} +(2.39466 + 0.461532i) q^{58} +(9.61047 + 2.33147i) q^{59} +(0.414402 - 4.33982i) q^{60} +(-5.61413 - 2.89429i) q^{61} +(-2.61647 + 8.91088i) q^{62} +(-1.66818 - 2.05358i) q^{63} +(0.415415 - 0.909632i) q^{64} +(4.50123 + 11.2435i) q^{65} +(1.74678 - 0.900527i) q^{66} +(-2.25265 - 11.6878i) q^{67} +(1.27658 + 2.21110i) q^{68} +(-4.76575 - 0.536284i) q^{69} +(-10.0790 - 5.60846i) q^{70} +(-6.03314 - 6.96261i) q^{71} +(-0.0475819 + 0.998867i) q^{72} +(4.58690 - 5.83272i) q^{73} +(1.15203 - 0.820359i) q^{74} +(8.65778 + 11.0093i) q^{75} +(4.87263 + 1.43073i) q^{76} +(-0.329510 - 5.18910i) q^{77} +(-1.15404 - 2.52700i) q^{78} +(-0.301813 + 0.316532i) q^{79} +(1.42587 + 4.11979i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-5.27486 + 5.53212i) q^{82} +(2.84760 + 6.23536i) q^{83} +(2.37052 + 1.17501i) q^{84} +(-10.6798 - 3.13587i) q^{85} +(-7.83981 - 9.96913i) q^{86} +(1.98653 - 1.41460i) q^{87} +(-1.21483 + 1.54479i) q^{88} +(0.375556 - 7.88390i) q^{89} +(-2.85490 - 3.29473i) q^{90} +(-7.34911 + 0.116240i) q^{91} +(4.55786 - 1.49194i) q^{92} +(4.64354 + 8.04284i) q^{93} +(2.51242 + 13.0357i) q^{94} +(-19.6782 + 10.1448i) q^{95} +(-0.371662 - 0.928368i) q^{96} +(-2.91743 + 6.38828i) q^{97} +(5.36277 - 4.49897i) q^{98} +(0.553673 - 1.88564i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9}+O(q^{10}) \) 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9	\( 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9} + 22 q^{14} + 16 q^{16} - 66 q^{17} - 16 q^{18} + 36 q^{23} + 24 q^{25} + 12 q^{26} + 44 q^{28} + 8 q^{29} - 48 q^{31} + 16 q^{32} - 46 q^{35} + 32 q^{36} - 22 q^{37} + 66 q^{38} + 8 q^{39} + 176 q^{43} - 8 q^{46} + 120 q^{47} - 24 q^{49} - 48 q^{50} - 22 q^{51} - 12 q^{52} - 44 q^{53} + 44 q^{57} + 18 q^{58} + 12 q^{59} - 32 q^{64} - 108 q^{70} - 48 q^{71} - 16 q^{72} + 252 q^{73} + 22 q^{74} - 36 q^{75} - 42 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 12 q^{82} - 22 q^{84} - 76 q^{85} + 22 q^{86} + 24 q^{87} - 22 q^{88} + 16 q^{92} + 12 q^{94} + 26 q^{95} + 2 q^{98} + 88 q^{99}+O(q^{100}) \) 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9 + 22 * q^14 + 16 * q^16 - 66 * q^17 - 16 * q^18 + 36 * q^23 + 24 * q^25 + 12 * q^26 + 44 * q^28 + 8 * q^29 - 48 * q^31 + 16 * q^32 - 46 * q^35 + 32 * q^36 - 22 * q^37 + 66 * q^38 + 8 * q^39 + 176 * q^43 - 8 * q^46 + 120 * q^47 - 24 * q^49 - 48 * q^50 - 22 * q^51 - 12 * q^52 - 44 * q^53 + 44 * q^57 + 18 * q^58 + 12 * q^59 - 32 * q^64 - 108 * q^70 - 48 * q^71 - 16 * q^72 + 252 * q^73 + 22 * q^74 - 36 * q^75 - 42 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 12 * q^82 - 22 * q^84 - 76 * q^85 + 22 * q^86 + 24 * q^87 - 22 * q^88 + 16 * q^92 + 12 * q^94 + 26 * q^95 + 2 * q^98 + 88 * q^99

Introduction

L-functions

Modular forms

Varieties

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