LMFDB - Embedded newform 966.2.be.a.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.a.145.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.327068 - 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(3.84516 - 0.367168i) q^{5} +(0.989821 - 0.142315i) q^{6} +(2.35482 + 1.20616i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})$	\(q+(0.327068 - 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(3.84516 - 0.367168i) q^{5} +(0.989821 - 0.142315i) q^{6} +(2.35482 + 1.20616i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.910655 - 3.75377i) q^{10} +(1.40147 - 0.485052i) q^{11} +(0.189251 - 0.981929i) q^{12} +(-0.418998 - 1.42698i) q^{13} +(1.91001 - 1.83081i) q^{14} +(2.08831 + 3.24947i) q^{15} +(0.235759 + 0.971812i) q^{16} +(2.19062 + 0.876993i) q^{17} +(0.580057 + 0.814576i) q^{18} +(-1.64422 + 0.658248i) q^{19} +(-3.24947 - 2.08831i) q^{20} +(0.00696054 + 2.64574i) q^{21} -1.48303i q^{22} +(-4.68608 + 1.02012i) q^{23} +(-0.866025 - 0.500000i) q^{24} +(9.74082 - 1.87739i) q^{25} +(-1.48554 - 0.0707648i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(-1.10541 - 2.40376i) q^{28} +(0.225496 + 1.56836i) q^{29} +(3.75377 - 0.910655i) q^{30} +(-10.2370 + 0.487649i) q^{31} +(0.995472 + 0.0950560i) q^{32} +(1.07332 + 1.02341i) q^{33} +(1.54524 - 1.78330i) q^{34} +(9.49753 + 3.77328i) q^{35} +(0.959493 - 0.281733i) q^{36} +(-1.65307 - 1.17714i) q^{37} +(0.0842719 + 1.76908i) q^{38} +(1.07635 - 1.02630i) q^{39} +(-3.03625 + 2.38773i) q^{40} +(1.02737 + 0.469186i) q^{41} +(2.50251 + 0.858760i) q^{42} +(4.36514 - 6.79229i) q^{43} +(-1.40147 - 0.485052i) q^{44} +(-1.93133 + 3.34516i) q^{45} +(-0.568655 + 4.76200i) q^{46} +(-4.08811 + 2.36027i) q^{47} +(-0.755750 + 0.654861i) q^{48} +(4.09034 + 5.68059i) q^{49} +(1.41178 - 9.81912i) q^{50} +(0.224299 + 2.34896i) q^{51} +(-0.552744 + 1.38069i) q^{52} +(1.97636 + 2.07275i) q^{53} +(-0.458227 + 0.888835i) q^{54} +(5.21077 - 2.37968i) q^{55} +(-2.63310 + 0.258423i) q^{56} +(-1.33850 - 1.15982i) q^{57} +(1.55586 + 0.299867i) q^{58} +(1.84674 + 0.448015i) q^{59} +(0.367168 - 3.84516i) q^{60} +(1.12381 + 0.579365i) q^{61} +(-2.88737 + 9.83348i) q^{62} +(-2.34844 + 1.21854i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-2.13506 - 5.33312i) q^{65} +(1.31817 - 0.679565i) q^{66} +(0.00668304 + 0.0346749i) q^{67} +(-1.17982 - 2.04352i) q^{68} +(-3.05400 - 3.69771i) q^{69} +(6.67208 - 7.74105i) q^{70} +(-9.23248 - 10.6549i) q^{71} +(0.0475819 - 0.998867i) q^{72} +(-3.75426 + 4.77392i) q^{73} +(-1.65307 + 1.17714i) q^{74} +(6.13219 + 7.79772i) q^{75} +(1.69935 + 0.498974i) q^{76} +(3.88525 + 0.548186i) q^{77} +(-0.617814 - 1.35282i) q^{78} +(8.49972 - 8.91425i) q^{79} +(1.26335 + 3.65021i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(0.779402 - 0.817414i) q^{82} +(-2.47970 - 5.42980i) q^{83} +(1.63002 - 2.08400i) q^{84} +(8.74530 + 2.56785i) q^{85} +(-4.99102 - 6.34660i) q^{86} +(-1.29069 + 0.919094i) q^{87} +(-0.916750 + 1.16574i) q^{88} +(0.766794 - 16.0970i) q^{89} +(2.52950 + 2.91920i) q^{90} +(0.734501 - 3.86565i) q^{91} +(4.31410 + 2.09488i) q^{92} +(-5.12431 - 8.87557i) q^{93} +(0.893368 + 4.63523i) q^{94} +(-6.08062 + 3.13478i) q^{95} +(0.371662 + 0.928368i) q^{96} +(6.22247 - 13.6253i) q^{97} +(6.70598 - 2.00744i) q^{98} +(-0.417819 + 1.42296i) 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} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+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 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

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
$5$	3.84516	−	0.367168i	1.71961	−	0.164203i	0.811898	−	0.583799i	$-0.198434\pi$
$5$	3.84516	−	0.367168i	1.71961	−	0.164203i	0.907711	+	0.419596i	$0.137828\pi$
$6$	0.989821	−	0.142315i	0.404093	−	0.0580998i
$7$	2.35482	+	1.20616i	0.890038	+	0.455887i
$7$	2.35482	+	1.20616i	0.890038	+	0.455887i
$8$	−0.841254	+	0.540641i	−0.297428	+	0.191145i
$9$	−0.580057	+	0.814576i	−0.193352	+	0.271525i
$10$	0.910655	−	3.75377i	0.287974	−	1.18705i
$11$	1.40147	−	0.485052i	0.422558	−	0.146249i	−0.107510	−	0.994204i	$-0.534288\pi$
$11$	1.40147	−	0.485052i	0.422558	−	0.146249i	0.530068	+	0.847955i	$0.322166\pi$
$12$	0.189251	−	0.981929i	0.0546321	−	0.283458i
$13$	−0.418998	−	1.42698i	−0.116209	−	0.395772i	0.880761	−	0.473562i	$-0.157032\pi$
$13$	−0.418998	−	1.42698i	−0.116209	−	0.395772i	−0.996970	+	0.0777895i	$0.975214\pi$
$14$	1.91001	−	1.83081i	0.510472	−	0.489304i
$15$	2.08831	+	3.24947i	0.539199	+	0.839010i
$16$	0.235759	+	0.971812i	0.0589397	+	0.242953i
$17$	2.19062	+	0.876993i	0.531304	+	0.212702i	0.621773	−	0.783197i	$-0.286413\pi$
$17$	2.19062	+	0.876993i	0.531304	+	0.212702i	−0.0904695	+	0.995899i	$0.528837\pi$
$18$	0.580057	+	0.814576i	0.136721	+	0.191997i
$19$	−1.64422	+	0.658248i	−0.377211	+	0.151012i	−0.552517	−	0.833501i	$-0.686333\pi$
$19$	−1.64422	+	0.658248i	−0.377211	+	0.151012i	0.175306	+	0.984514i	$0.443908\pi$
$20$	−3.24947	−	2.08831i	−0.726604	−	0.466960i
$21$	0.00696054	+	2.64574i	0.00151891	+	0.577348i
$22$		−	1.48303i		−	0.316184i
$23$	−4.68608	+	1.02012i	−0.977116	+	0.212709i
$23$	−4.68608	+	1.02012i	−0.977116	+	0.212709i
$24$	−0.866025	−	0.500000i	−0.176777	−	0.102062i
$25$	9.74082	−	1.87739i	1.94816	−	0.375478i
$26$	−1.48554	−	0.0707648i	−0.291338	−	0.0138781i
$27$	−0.989821	−	0.142315i	−0.190491	−	0.0273885i
$28$	−1.10541	−	2.40376i	−0.208903	−	0.454268i
$29$	0.225496	+	1.56836i	0.0418736	+	0.291237i	0.999988	+	0.00485238i	$0.00154457\pi$
$29$	0.225496	+	1.56836i	0.0418736	+	0.291237i	−0.958115	+	0.286385i	$0.907546\pi$
$30$	3.75377	−	0.910655i	0.685342	−	0.166262i
$31$	−10.2370	+	0.487649i	−1.83862	+	0.0875844i	−0.937920	−	0.346852i	$-0.887251\pi$
$31$	−10.2370	+	0.487649i	−1.83862	+	0.0875844i	−0.900703	+	0.434436i	$0.856948\pi$
$32$	0.995472	+	0.0950560i	0.175976	+	0.0168037i
$33$	1.07332	+	1.02341i	0.186841	+	0.178153i
$34$	1.54524	−	1.78330i	0.265007	−	0.305834i
$35$	9.49753	+	3.77328i	1.60537	+	0.637800i
$36$	0.959493	−	0.281733i	0.159915	−	0.0469554i
$37$	−1.65307	−	1.17714i	−0.271762	−	0.193521i	0.436048	−	0.899923i	$-0.356378\pi$
$37$	−1.65307	−	1.17714i	−0.271762	−	0.193521i	−0.707811	+	0.706402i	$0.750317\pi$
$38$	0.0842719	+	1.76908i	0.0136707	+	0.286983i
$39$	1.07635	−	1.02630i	0.172354	−	0.164339i
$40$	−3.03625	+	2.38773i	−0.480073	+	0.377534i
$41$	1.02737	+	0.469186i	0.160449	+	0.0732746i	0.494021	−	0.869450i	$-0.335527\pi$
$41$	1.02737	+	0.469186i	0.160449	+	0.0732746i	−0.333572	+	0.942725i	$0.608254\pi$
$42$	2.50251	+	0.858760i	0.386145	+	0.132510i
$43$	4.36514	−	6.79229i	0.665677	−	1.03581i	−0.330094	−	0.943948i	$-0.607080\pi$
$43$	4.36514	−	6.79229i	0.665677	−	1.03581i	0.995771	−	0.0918662i	$-0.0292832\pi$
$44$	−1.40147	−	0.485052i	−0.211279	−	0.0731244i
$45$	−1.93133	+	3.34516i	−0.287905	+	0.498666i
$46$	−0.568655	+	4.76200i	−0.0838435	+	0.702118i
$47$	−4.08811	+	2.36027i	−0.596312	+	0.344281i	−0.767589	−	0.640942i	$-0.778544\pi$
$47$	−4.08811	+	2.36027i	−0.596312	+	0.344281i	0.171277	+	0.985223i	$0.445211\pi$
$48$	−0.755750	+	0.654861i	−0.109083	+	0.0945210i
$49$	4.09034	+	5.68059i	0.584335	+	0.811513i
$50$	1.41178	−	9.81912i	0.199655	−	1.38863i
$51$	0.224299	+	2.34896i	0.0314081	+	0.328921i
$52$	−0.552744	+	1.38069i	−0.0766518	+	0.191467i
$53$	1.97636	+	2.07275i	0.271474	+	0.284714i	0.845332	−	0.534241i	$-0.179402\pi$
$53$	1.97636	+	2.07275i	0.271474	+	0.284714i	−0.573858	+	0.818955i	$0.694554\pi$
$54$	−0.458227	+	0.888835i	−0.0623567	+	0.120955i
$55$	5.21077	−	2.37968i	0.702620	−	0.320876i
$56$	−2.63310	+	0.258423i	−0.351863	+	0.0345332i
$57$	−1.33850	−	1.15982i	−0.177289	−	0.153622i
$58$	1.55586	+	0.299867i	0.204294	+	0.0393744i
$59$	1.84674	+	0.448015i	0.240426	+	0.0583266i	0.354161	−	0.935184i	$-0.384766\pi$
$59$	1.84674	+	0.448015i	0.240426	+	0.0583266i	−0.113735	+	0.993511i	$0.536282\pi$
$60$	0.367168	−	3.84516i	0.0474012	−	0.496408i
$61$	1.12381	+	0.579365i	0.143889	+	0.0741801i	0.528668	−	0.848829i	$-0.322692\pi$
$61$	1.12381	+	0.579365i	0.143889	+	0.0741801i	−0.384778	+	0.923009i	$0.625722\pi$
$62$	−2.88737	+	9.83348i	−0.366697	+	1.24885i
$63$	−2.34844	+	1.21854i	−0.295876	+	0.153521i
$64$	0.415415	−	0.909632i	0.0519269	−	0.113704i
$65$	−2.13506	−	5.33312i	−0.264821	−	0.661492i
$66$	1.31817	−	0.679565i	0.162256	−	0.0836486i
$67$	0.00668304	+	0.0346749i	0.000816463	+	0.00423621i	0.982335	−	0.187133i	$-0.0599194\pi$
$67$	0.00668304	+	0.0346749i	0.000816463	+	0.00423621i	−0.981518	+	0.191369i	$0.938707\pi$
$68$	−1.17982	−	2.04352i	−0.143075	−	0.247813i
$69$	−3.05400	−	3.69771i	−0.367659	−	0.445152i
$70$	6.67208	−	7.74105i	0.797467	−	0.925233i
$71$	−9.23248	−	10.6549i	−1.09569	−	1.26450i	−0.961874	−	0.273493i	$-0.911821\pi$
$71$	−9.23248	−	10.6549i	−1.09569	−	1.26450i	−0.133820	−	0.991006i	$-0.542724\pi$
$72$	0.0475819	−	0.998867i	0.00560758	−	0.117718i
$73$	−3.75426	+	4.77392i	−0.439402	+	0.558746i	−0.954433	−	0.298426i	$-0.903538\pi$
$73$	−3.75426	+	4.77392i	−0.439402	+	0.558746i	0.515030	+	0.857172i	$0.327781\pi$
$74$	−1.65307	+	1.17714i	−0.192165	+	0.136840i
$75$	6.13219	+	7.79772i	0.708084	+	0.900403i
$76$	1.69935	+	0.498974i	0.194929	+	0.0572362i
$77$	3.88525	+	0.548186i	0.442766	+	0.0624716i
$78$	−0.617814	−	1.35282i	−0.0699536	−	0.153177i
$79$	8.49972	−	8.91425i	0.956293	−	1.00293i	−0.0436994	−	0.999045i	$-0.513914\pi$
$79$	8.49972	−	8.91425i	0.956293	−	1.00293i	0.999992	−	0.00388651i	$-0.00123712\pi$
$80$	1.26335	+	3.65021i	0.141247	+	0.408106i
$81$	−0.327068	−	0.945001i	−0.0363409	−	0.105000i
$82$	0.779402	−	0.817414i	0.0860706	−	0.0902682i
$83$	−2.47970	−	5.42980i	−0.272183	−	0.595998i	0.723343	−	0.690489i	$-0.242605\pi$
$83$	−2.47970	−	5.42980i	−0.272183	−	0.595998i	−0.995526	+	0.0944917i	$0.969877\pi$
$84$	1.63002	−	2.08400i	0.177850	−	0.227383i
$85$	8.74530	+	2.56785i	0.948561	+	0.278523i
$86$	−4.99102	−	6.34660i	−0.538196	−	0.684371i
$87$	−1.29069	+	0.919094i	−0.138376	+	0.0985372i
$88$	−0.916750	+	1.16574i	−0.0977259	+	0.124269i
$89$	0.766794	−	16.0970i	0.0812800	−	1.70628i	−0.478870	−	0.877886i	$-0.658954\pi$
$89$	0.766794	−	16.0970i	0.0812800	−	1.70628i	0.560150	−	0.828391i	$-0.310743\pi$
$90$	2.52950	+	2.91920i	0.266633	+	0.307711i
$91$	0.734501	−	3.86565i	0.0769967	−	0.405231i
$92$	4.31410	+	2.09488i	0.449776	+	0.218406i
$93$	−5.12431	−	8.87557i	−0.531366	−	0.920354i
$94$	0.893368	+	4.63523i	0.0921439	+	0.478088i
$95$	−6.08062	+	3.13478i	−0.623858	+	0.321621i
$96$	0.371662	+	0.928368i	0.0379326	+	0.0947512i
$97$	6.22247	−	13.6253i	0.631796	−	1.38344i	−0.274825	−	0.961494i	$-0.588620\pi$
$97$	6.22247	−	13.6253i	0.631796	−	1.38344i	0.906621	−	0.421946i	$-0.138653\pi$
$98$	6.70598	−	2.00744i	0.677406	−	0.202782i
$99$	−0.417819	+	1.42296i	−0.0419923	+	0.143013i
$100$	−8.81733	−	4.54565i	−0.881733	−	0.454565i
$101$	−1.16258	+	12.1751i	−0.115681	+	1.21147i	0.732128	+	0.681167i	$0.238527\pi$
$101$	−1.16258	+	12.1751i	−0.115681	+	1.21147i	−0.847809	+	0.530302i	$0.822079\pi$
$102$	2.29313	+	0.556308i	0.227054	+	0.0550827i
$103$	16.0423	+	3.09191i	1.58070	+	0.304655i	0.902654	−	0.430366i	$-0.141616\pi$
$103$	16.0423	+	3.09191i	1.58070	+	0.304655i	0.678044	+	0.735021i	$0.262828\pi$
$104$	1.12397	+	0.973922i	0.110214	+	0.0955009i
$105$	0.998198	+	10.1708i	0.0974141	+	0.992564i
$106$	2.60515	−	1.18973i	0.253035	−	0.115557i
$107$	−4.84320	+	9.39450i	−0.468210	+	0.908200i	0.529977	+	0.848012i	$0.322200\pi$
$107$	−4.84320	+	9.39450i	−0.468210	+	0.908200i	−0.998187	+	0.0601885i	$0.980830\pi$
$108$	0.690079	+	0.723734i	0.0664029	+	0.0696413i
$109$	0.468743	−	1.17086i	0.0448974	−	0.112148i	−0.904224	−	0.427058i	$-0.859550\pi$
$109$	0.468743	−	1.17086i	0.0448974	−	0.112148i	0.949122	+	0.314910i	$0.101974\pi$
$110$	−0.544523	−	5.70250i	−0.0519182	−	0.543712i
$111$	0.288808	−	2.00870i	0.0274124	−	0.190658i
$112$	−0.616993	+	2.57280i	−0.0583004	+	0.243107i
$113$	0.741855	−	0.642821i	0.0697878	−	0.0604715i	−0.619268	−	0.785179i	$-0.712571\pi$
$113$	0.741855	−	0.642821i	0.0697878	−	0.0604715i	0.689056	+	0.724708i	$0.258025\pi$
$114$	−1.53381	+	0.885545i	−0.143654	+	0.0829389i
$115$	−17.6442	+	5.64310i	−1.64533	+	0.526222i
$116$	0.792245	−	1.37221i	0.0735581	−	0.127406i
$117$	1.40542	+	0.486422i	0.129932	+	0.0449697i
$118$	1.02739	−	1.59864i	0.0945786	−	0.147167i
$119$	4.10072	+	4.70740i	0.375913	+	0.431527i
$120$	−3.51359	−	1.60460i	−0.320746	−	0.146480i
$121$	−6.91775	+	5.44018i	−0.628886	+	0.494562i
$122$	0.915063	−	0.872511i	0.0828459	−	0.0789934i
$123$	0.0537409	+	1.12816i	0.00484565	+	0.101723i
$124$	8.34828	+	5.94479i	0.749698	+	0.533858i
$125$	18.2348	−	5.35421i	1.63097	−	0.478895i
$126$	0.383418	+	2.61782i	0.0341576	+	0.233214i
$127$	2.16269	−	2.49588i	0.191908	−	0.221474i	−0.651639	−	0.758530i	$-0.725918\pi$
$127$	2.16269	−	2.49588i	0.191908	−	0.221474i	0.843547	+	0.537056i	$0.180464\pi$
$128$	−0.723734	−	0.690079i	−0.0639697	−	0.0609949i
$129$	8.03745	+	0.767483i	0.707658	+	0.0675731i
$130$	−5.73811	+	0.273340i	−0.503265	+	0.0239735i
$131$	−13.4200	+	3.25565i	−1.17251	+	0.284447i	−0.774283	−	0.632840i	$-0.781889\pi$
$131$	−13.4200	+	3.25565i	−1.17251	+	0.284447i	−0.398226	+	0.917287i	$0.630374\pi$
$132$	−0.211058	−	1.46794i	−0.0183702	−	0.127768i
$133$	−4.66580	−	0.433146i	−0.404576	−	0.0375586i
$134$	0.0349536	+	0.00502557i	0.00301953	+	0.000434143i
$135$	−3.85828	−	0.183792i	−0.332068	−	0.0158183i
$136$	−2.31701	+	0.446566i	−0.198682	+	0.0382927i
$137$	−8.58632	−	4.95731i	−0.733579	−	0.423532i	0.0861511	−	0.996282i	$-0.472543\pi$
$137$	−8.58632	−	4.95731i	−0.733579	−	0.423532i	−0.819730	+	0.572750i	$0.805877\pi$
$138$	−4.49321	+	1.67663i	−0.382487	+	0.142725i
$139$			17.4017i			1.47599i	0.674807	+	0.737994i	$0.264227\pi$
$139$			17.4017i			1.47599i	−0.674807	+	0.737994i	$0.735773\pi$
$140$	−5.13308	−	8.83698i	−0.433824	−	0.746861i
$141$	−3.97117	−	2.55212i	−0.334433	−	0.214927i
$142$	−13.0885	+	5.23984i	−1.09836	+	0.439718i
$143$	−1.27937	−	1.79663i	−0.106986	−	0.150241i
$144$	−0.928368	−	0.371662i	−0.0773640	−	0.0309719i
$145$	1.44292	+	5.94781i	0.119828	+	0.493939i
$146$	3.28347	+	5.10917i	0.271742	+	0.422838i
$147$	−3.17480	+	6.23864i	−0.261853	+	0.514554i
$148$	0.571736	+	1.94715i	0.0469964	+	0.160055i
$149$	0.335459	−	1.74053i	0.0274818	−	0.142589i	−0.965596	−	0.260046i	$-0.916262\pi$
$149$	0.335459	−	1.74053i	0.0274818	−	0.142589i	0.993078	+	0.117457i	$0.0374742\pi$
$150$	9.37449	−	3.24454i	0.765424	−	0.264916i
$151$	−3.59382	+	14.8139i	−0.292461	+	1.20554i	0.616060	+	0.787699i	$0.288728\pi$
$151$	−3.59382	+	14.8139i	−0.292461	+	1.20554i	−0.908521	+	0.417840i	$0.862787\pi$
$152$	1.02733	−	1.44269i	0.0833277	−	0.117017i
$153$	−1.98506	+	1.27572i	−0.160483	+	0.103136i
$154$	1.78878	−	3.49227i	0.144144	−	0.281415i
$155$	−39.1839	+	5.63380i	−3.14733	+	0.452518i
$156$	−1.48049	+	0.141369i	−0.118534	+	0.0113186i
$157$	−6.35112	−	4.99458i	−0.506875	−	0.398611i	0.331711	−	0.943381i	$-0.392374\pi$
$157$	−6.35112	−	4.99458i	−0.506875	−	0.398611i	−0.838585	+	0.544771i	$0.816617\pi$
$158$	−5.64399	−	10.9478i	−0.449011	−	0.870961i
$159$	−0.936711	+	2.70645i	−0.0742860	+	0.214635i
$160$	3.86265			0.305370
$161$	−12.2653	−	3.24998i	−0.966641	−	0.256134i
$162$	−1.00000			−0.0785674
$163$	0.0280985	−	0.0811854i	0.00220085	−	0.00635893i	−0.943895	−	0.330246i	$-0.892868\pi$
$163$	0.0280985	−	0.0811854i	0.00220085	−	0.00635893i	0.946096	+	0.323887i	$0.104990\pi$
$164$	−0.517539	−	1.00389i	−0.0404130	−	0.0783903i
$165$	4.50286	+	3.54109i	0.350547	+	0.275673i
$166$	−5.94219	+	0.567411i	−0.461204	+	0.0440396i
$167$	−23.1408	+	3.32715i	−1.79069	+	0.257463i	−0.956023	−	0.293290i	$-0.905250\pi$
$167$	−23.1408	+	3.32715i	−1.79069	+	0.257463i	−0.834668	+	0.550753i	$0.814341\pi$
$168$	−1.43625	−	2.22198i	−0.110809	−	0.171429i
$169$	9.07559	−	5.83253i	0.698122	−	0.448656i
$170$	5.28693	−	7.42445i	0.405489	−	0.569430i
$171$	0.417550	−	1.72117i	0.0319309	−	0.131621i
$172$	−7.62994	+	2.64075i	−0.581778	+	0.201355i
$173$	4.58069	−	23.7669i	0.348264	−	1.80696i	−0.210453	−	0.977604i	$-0.567494\pi$
$173$	4.58069	−	23.7669i	0.348264	−	1.80696i	0.558716	−	0.829359i	$-0.311294\pi$
$174$	0.446402	+	1.52031i	0.0338417	+	0.115254i
$175$	25.2023	+	7.32810i	1.90511	+	0.553952i
$176$	0.801788	+	1.24761i	0.0604370	+	0.0940419i
$177$	0.448015	+	1.84674i	0.0336749	+	0.138810i
$178$	−14.9609	−	5.98943i	−1.12136	−	0.448927i
$179$	−3.16310	−	4.44195i	−0.236421	−	0.332007i	0.679271	−	0.733887i	$-0.262296\pi$
$179$	−3.16310	−	4.44195i	−0.236421	−	0.332007i	−0.915692	+	0.401881i	$0.868357\pi$
$180$	3.58596	−	1.43560i	0.267282	−	0.107004i
$181$	19.3571	+	12.4400i	1.43880	+	0.924661i	0.999656	+	0.0262446i	$0.00835488\pi$
$181$	19.3571	+	12.4400i	1.43880	+	0.924661i	0.439145	+	0.898416i	$0.355281\pi$
$182$	−3.41281	−	1.95844i	−0.252975	−	0.145169i
$183$			1.26436i			0.0934644i
$184$	3.39067	−	3.39166i	0.249963	−	0.250037i
$185$	−6.78852	−	3.91935i	−0.499102	−	0.288156i
$186$	−10.0634	+	1.93957i	−0.737886	+	0.142216i
$187$	3.49547	+	0.166510i	0.255614	+	0.0121764i
$188$	4.67249	+	0.671803i	0.340777	+	0.0489963i
$189$	−2.15920	−	1.52901i	−0.157058	−	0.111219i
$190$	0.973591	+	6.77148i	0.0706317	+	0.491254i
$191$	−19.1939	+	4.65640i	−1.38882	+	0.336925i	−0.859344	−	0.511398i	$-0.829128\pi$
$191$	−19.1939	+	4.65640i	−1.38882	+	0.336925i	−0.529479	+	0.848323i	$0.677613\pi$
$192$	0.998867	−	0.0475819i	0.0720870	−	0.00343393i
$193$	−4.71096	−	0.449842i	−0.339102	−	0.0323804i	−0.0758841	−	0.997117i	$-0.524178\pi$
$193$	−4.71096	−	0.449842i	−0.339102	−	0.0323804i	−0.263218	+	0.964736i	$0.584784\pi$
$194$	−10.8408	−	10.3366i	−0.778321	−	0.742128i
$195$	3.76192	−	4.34149i	0.269397	−	0.310901i
$196$	0.296279	−	6.99373i	0.0211628	−	0.499552i
$197$	−5.54408	+	1.62789i	−0.395000	+	0.115982i	−0.473199	−	0.880955i	$-0.656901\pi$
$197$	−5.54408	+	1.62789i	−0.395000	+	0.115982i	0.0781997	+	0.996938i	$0.475083\pi$
$198$	1.20804	+	0.860243i	0.0858518	+	0.0611348i
$199$	0.911087	+	19.1261i	0.0645853	+	1.35581i	0.765900	+	0.642960i	$0.222294\pi$
$199$	0.911087	+	19.1261i	0.0645853	+	1.35581i	−0.701315	+	0.712852i	$0.747403\pi$
$200$	−7.17950	+	6.84564i	−0.507668	+	0.484060i
$201$	−0.0277579	+	0.0218291i	−0.00195789	+	0.00153970i
$202$	11.1252	+	5.08073i	0.782770	+	0.357479i
$203$	−1.36070	+	3.96519i	−0.0955021	+	0.278302i
$204$	1.27572	−	1.98506i	0.0893184	−	0.138982i
$205$	4.12269	+	1.42688i	0.287941	+	0.0996574i
$206$	8.16879	−	14.1488i	0.569147	−	0.985791i
$207$	1.88723	−	4.40890i	0.131172	−	0.306439i
$208$	1.28797	−	0.743610i	0.0893047	−	0.0515601i
$209$	−1.98504	+	1.72005i	−0.137308	+	0.118978i
$210$	9.93785	+	2.38323i	0.685777	+	0.164458i
$211$	0.752717	−	5.23526i	0.0518192	−	0.360410i	−0.947370	−	0.320142i	$-0.896269\pi$
$211$	0.752717	−	5.23526i	0.0518192	−	0.360410i	0.999189	−	0.0402688i	$-0.0128214\pi$
$212$	−0.272237	−	2.85100i	−0.0186973	−	0.195807i
$213$	5.23984	−	13.0885i	0.359028	−	0.896809i
$214$	7.29375	+	7.64947i	0.498591	+	0.522907i
$215$	14.2908	−	27.7202i	0.974621	−	1.89050i
$216$	0.909632	−	0.415415i	0.0618926	−	0.0282654i
$217$	−24.6945	−	11.1992i	−1.67637	−	0.760250i
$218$	−0.953156	−	0.825914i	−0.0645559	−	0.0559380i
$219$	−5.96353	−	1.14938i	−0.402978	−	0.0776677i
$220$	−5.56696	−	1.35053i	−0.375325	−	0.0910528i
$221$	0.333582	−	3.49343i	0.0224391	−	0.234993i
$222$	−1.80376	−	0.929905i	−0.121061	−	0.0624112i
$223$	−5.97775	+	20.3583i	−0.400300	+	1.36330i	0.475115	+	0.879924i	$0.342406\pi$
$223$	−5.97775	+	20.3583i	−0.400300	+	1.36330i	−0.875415	+	0.483372i	$0.839412\pi$
$224$	2.22950	+	1.42454i	0.148965	+	0.0951811i
$225$	−4.12095	+	9.02363i	−0.274730	+	0.601575i
$226$	−0.364829	−	0.911299i	−0.0242681	−	0.0606187i
$227$	−21.8959	+	11.2881i	−1.45328	+	0.749219i	−0.990534	−	0.137270i	$-0.956167\pi$
$227$	−21.8959	+	11.2881i	−1.45328	+	0.749219i	−0.462749	+	0.886490i	$0.653137\pi$
$228$	0.335181	+	1.73908i	0.0221979	+	0.115174i
$229$	−3.55774	−	6.16218i	−0.235102	−	0.407208i	0.724200	−	0.689590i	$-0.242209\pi$
$229$	−3.55774	−	6.16218i	−0.235102	−	0.407208i	−0.959302	+	0.282381i	$0.908876\pi$
$230$	−0.438113	+	18.5195i	−0.0288883	+	1.22114i
$231$	1.29308	+	3.70454i	0.0850783	+	0.243741i
$232$	−1.03762	−	1.19748i	−0.0681231	−	0.0786182i
$233$	−1.30035	+	27.2976i	−0.0851884	+	1.78833i	0.402613	+	0.915370i	$0.368102\pi$
$233$	−1.30035	+	27.2976i	−0.0851884	+	1.78833i	−0.487801	+	0.872955i	$0.662201\pi$
$234$	0.919339	−	1.16903i	0.0600990	−	0.0764222i
$235$	−14.8528	+	10.5766i	−0.968891	+	0.689944i
$236$	−1.17469	−	1.49375i	−0.0764661	−	0.0972346i
$237$	11.8181	+	3.47011i	0.767668	+	0.225408i
$238$	5.78972	−	2.33554i	0.375291	−	0.151391i
$239$	−2.22571	−	4.87362i	−0.143969	−	0.315248i	0.823887	−	0.566755i	$-0.191801\pi$
$239$	−2.22571	−	4.87362i	−0.143969	−	0.315248i	−0.967856	+	0.251507i	$0.919074\pi$
$240$	−2.66554	+	2.79553i	−0.172060	+	0.180451i
$241$	−2.06886	−	5.97758i	−0.133267	−	0.385049i	0.858548	−	0.512733i	$-0.171367\pi$
$241$	−2.06886	−	5.97758i	−0.133267	−	0.385049i	−0.991815	+	0.127684i	$0.959246\pi$
$242$	2.87840	+	8.31659i	0.185031	+	0.534611i
$243$	0.690079	−	0.723734i	0.0442686	−	0.0464276i
$244$	−0.525236	−	1.15011i	−0.0336248	−	0.0736280i
$245$	17.8138	+	20.3409i	1.13808	+	1.29953i
$246$	1.08369	+	0.318200i	0.0690935	+	0.0202877i
$247$	1.62823	+	2.07047i	0.103602	+	0.131741i
$248$	8.34828	−	5.94479i	0.530117	−	0.377494i
$249$	3.68993	−	4.69213i	0.233840	−	0.297351i
$250$	0.904275	−	18.9831i	0.0571914	−	1.20059i
$251$	16.8661	+	19.4645i	1.06458	+	1.22859i	0.972517	+	0.232834i	$0.0747999\pi$
$251$	16.8661	+	19.4645i	1.06458	+	1.22859i	0.0920605	+	0.995753i	$0.470655\pi$
$252$	2.59925	+	0.493875i	0.163737	+	0.0311112i
$253$	−6.07258	+	3.70266i	−0.381780	+	0.232784i
$254$	−1.65126	−	2.86007i	−0.103609	−	0.179457i
$255$	1.72493	+	8.94979i	0.108019	+	0.560458i
$256$	−0.888835	+	0.458227i	−0.0555522	+	0.0286392i
$257$	−0.838933	−	2.09555i	−0.0523312	−	0.130717i	0.899899	−	0.436099i	$-0.143640\pi$
$257$	−0.838933	−	2.09555i	−0.0523312	−	0.130717i	−0.952230	+	0.305382i	$0.901216\pi$
$258$	3.35406	−	7.34438i	0.208815	−	0.457241i
$259$	−2.47285	−	4.76582i	−0.153655	−	0.296134i
$260$	−1.61845	+	5.51192i	−0.100372	+	0.341835i
$261$	−1.40835	−	0.726055i	−0.0871747	−	0.0449417i
$262$	−1.31265	+	13.7467i	−0.0810958	+	0.849274i
$263$	5.40357	+	1.31089i	0.333198	+	0.0808330i	0.398868	−	0.917008i	$-0.369403\pi$
$263$	5.40357	+	1.31089i	0.333198	+	0.0808330i	−0.0656696	+	0.997841i	$0.520918\pi$
$264$	−1.45623	−	0.280666i	−0.0896249	−	0.0172738i
$265$	8.36048	+	7.24440i	0.513580	+	0.445020i
$266$	−1.93536	+	4.26752i	−0.118664	+	0.261658i
$267$	14.6589	−	6.69451i	0.897112	−	0.409697i
$268$	0.0161814	−	0.0313875i	0.000988435	−	0.00191730i
$269$	13.4281	+	14.0830i	0.818726	+	0.858656i	0.992003	−	0.126218i	$-0.0402838\pi$
$269$	13.4281	+	14.0830i	0.818726	+	0.858656i	−0.173276	+	0.984873i	$0.555435\pi$
$270$	−1.43560	+	3.58596i	−0.0873680	+	0.218235i
$271$	−2.54265	−	26.6278i	−0.154455	−	1.61753i	−0.657630	−	0.753341i	$-0.728441\pi$
$271$	−2.54265	−	26.6278i	−0.154455	−	1.61753i	0.503175	−	0.864185i	$-0.332165\pi$
$272$	−0.335813	+	2.33563i	−0.0203616	+	0.141618i
$273$	3.77250	−	1.11849i	0.228322	−	0.0676944i
$274$	−7.49298	+	6.49270i	−0.452667	+	0.392238i
$275$	12.7408	−	7.35591i	0.768299	−	0.443578i
$276$	0.114837	+	4.79446i	0.00691235	+	0.288592i
$277$	−4.90466	+	8.49512i	−0.294692	+	0.510422i	−0.974913	−	0.222585i	$-0.928550\pi$
$277$	−4.90466	+	8.49512i	−0.294692	+	0.510422i	0.680221	+	0.733007i	$0.261884\pi$
$278$	16.4446	+	5.69152i	0.986280	+	0.341355i
$279$	5.54082	−	8.62169i	0.331721	−	0.516167i
$280$	−10.0298	+	1.96047i	−0.599396	+	0.117160i
$281$	−19.1842	−	8.76114i	−1.14443	−	0.522646i	−0.249293	−	0.968428i	$-0.580198\pi$
$281$	−19.1842	−	8.76114i	−1.14443	−	0.522646i	−0.895141	+	0.445782i	$0.852926\pi$
$282$	−3.71060	+	2.91804i	−0.220963	+	0.173767i
$283$	22.6025	−	21.5514i	1.34358	−	1.28110i	0.415068	−	0.909790i	$-0.363758\pi$
$283$	22.6025	−	21.5514i	1.34358	−	1.28110i	0.928509	−	0.371309i	$-0.121091\pi$
$284$	0.670829	+	14.0824i	0.0398063	+	0.835638i
$285$	−5.57260	−	3.96823i	−0.330092	−	0.235058i
$286$	−2.11625	+	0.621388i	−0.125137	+	0.0367435i
$287$	1.85337	+	2.34403i	0.109401	+	0.138364i
$288$	−0.654861	+	0.755750i	−0.0385880	+	0.0445330i
$289$	−8.27377	−	7.88903i	−0.486692	−	0.464060i
$290$	6.09262	+	0.581775i	0.357771	+	0.0341630i
$291$	14.9620	−	0.712726i	0.877086	−	0.0417807i
$292$	5.90209	−	1.43183i	0.345394	−	0.0837916i
$293$	−1.07634	−	7.48610i	−0.0628804	−	0.437343i	−0.996805	−	0.0798729i	$-0.974549\pi$
$293$	−1.07634	−	7.48610i	−0.0628804	−	0.437343i	0.933925	−	0.357470i	$-0.116361\pi$
$294$	4.85714	+	5.04065i	0.283274	+	0.293977i
$295$	7.26553	+	1.04463i	0.423016	+	0.0608205i
$296$	2.02706	+	0.0965607i	0.117820	+	0.00561248i
$297$	−1.45623	+	0.280666i	−0.0844992	+	0.0162859i
$298$	−1.53508	−	0.886279i	−0.0889248	−	0.0513408i
$299$	3.41915	+	6.25950i	0.197734	+	0.361997i
$300$		−	9.92009i		−	0.572737i
$301$	18.4717	−	10.7295i	1.06469	−	0.618441i
$302$	12.8237	+	8.24132i	0.737923	+	0.474234i
$303$	−11.3544	+	4.54561i	−0.652293	+	0.261139i
$304$	−1.02733	−	1.44269i	−0.0589216	−	0.0827438i
$305$	4.53396	+	1.81512i	0.259614	+	0.103934i
$306$	0.556308	+	2.29313i	0.0318020	+	0.131090i
$307$	−10.7255	−	16.6892i	−0.612137	−	0.952503i	−0.999532	−	0.0305895i	$-0.990262\pi$
$307$	−10.7255	−	16.6892i	−0.612137	−	0.952503i	0.387395	−	0.921914i	$-0.373375\pi$
$308$	−2.71515	−	2.83261i	−0.154710	−	0.161403i
$309$	4.60283	+	15.6758i	0.261846	+	0.891765i
$310$	−7.49187	+	38.8715i	−0.425509	+	2.20775i
$311$	19.0959	−	6.60917i	1.08283	−	0.374772i	0.273349	−	0.961915i	$-0.411869\pi$
$311$	19.0959	−	6.60917i	1.08283	−	0.374772i	0.809483	+	0.587143i	$0.199747\pi$
$312$	−0.350625	+	1.44530i	−0.0198503	+	0.0818239i
$313$	2.07162	−	2.90919i	0.117095	−	0.164437i	−0.751868	−	0.659313i	$-0.770847\pi$
$313$	2.07162	−	2.90919i	0.117095	−	0.164437i	0.868964	+	0.494876i	$0.164787\pi$
$314$	−6.79713	+	4.36825i	−0.383584	+	0.246514i
$315$	−8.58273	+	5.54774i	−0.483582	+	0.312580i
$316$	−12.1917	+	1.75289i	−0.685834	+	0.0986080i
$317$	−9.59274	+	0.915995i	−0.538782	+	0.0514474i	−0.360900	−	0.932604i	$-0.617530\pi$
$317$	−9.59274	+	0.915995i	−0.538782	+	0.0514474i	−0.177882	+	0.984052i	$0.556924\pi$
$318$	2.25123	+	1.77038i	0.126243	+	0.0992783i
$319$	1.07676	+	2.08863i	0.0602872	+	0.116941i
$320$	1.26335	−	3.65021i	0.0706234	−	0.204053i
$321$	−10.5694			−0.589929
$322$	−7.08282	+	10.5278i	−0.394710	+	0.586689i
$323$	−4.17915			−0.232534
$324$	−0.327068	+	0.945001i	−0.0181704	+	0.0525000i
$325$	−6.76038	−	13.1133i	−0.374998	−	0.727395i
$326$	−0.0675302	−	0.0531063i	−0.00374015	−	0.00294129i
$327$	1.25549	−	0.119885i	0.0694290	−	0.00662967i
$328$	−1.11794	+	0.160736i	−0.0617281	+	0.00887516i
$329$	−12.4736	+	0.627087i	−0.687693	+	0.0345724i
$330$	4.81907	−	3.09703i	0.265281	−	0.170486i
$331$	−0.510599	+	0.717037i	−0.0280651	+	0.0394119i	−0.828370	−	0.560181i	$-0.810731\pi$
$331$	−0.510599	+	0.717037i	−0.0280651	+	0.0394119i	0.800305	+	0.599593i	$0.204671\pi$
$332$	−1.40730	+	5.80096i	−0.0772355	+	0.318369i
$333$	1.91774	−	0.663738i	0.105092	−	0.0363726i
$334$	−4.42447	+	22.9563i	−0.242096	+	1.25611i
$335$	0.0384289	+	0.130877i	0.00209959	+	0.00715056i
$336$	−2.56952	+	0.630522i	−0.140179	+	0.0343978i
$337$	6.43823	+	10.0181i	0.350713	+	0.545720i	0.971130	−	0.238553i	$-0.0766729\pi$
$337$	6.43823	+	10.0181i	0.350713	+	0.545720i	−0.620417	+	0.784272i	$0.713037\pi$
$338$	−2.54341	−	10.4841i	−0.138343	−	0.570258i
$339$	0.911299	+	0.364829i	0.0494950	+	0.0198148i
$340$	−5.28693	−	7.42445i	−0.286724	−	0.402647i
$341$	−14.1103	+	5.64891i	−0.764116	+	0.305906i
$342$	−1.48994	−	0.957524i	−0.0805665	−	0.0517770i
$343$	2.78031	+	18.3104i	0.150123	+	0.988667i
$344$			8.07401i			0.435321i
$345$	−13.1008	−	13.0970i	−0.705325	−	0.705117i
$346$	−20.9615	−	12.1021i	−1.12690	−	0.650615i
$347$	10.2293	−	1.97153i	0.549137	−	0.105838i	0.0928665	−	0.995679i	$-0.470397\pi$
$347$	10.2293	−	1.97153i	0.549137	−	0.105838i	0.456271	+	0.889841i	$0.349185\pi$
$348$	1.58269	+	0.0753930i	0.0848413	+	0.00404149i
$349$	26.7501	+	3.84609i	1.43190	+	0.205876i	0.814222	−	0.580553i	$-0.197164\pi$
$349$	26.7501	+	3.84609i	1.43190	+	0.205876i	0.617680	+	0.786430i	$0.288073\pi$
$350$	15.1679	−	21.4194i	0.810760	−	1.14492i
$351$	0.211654	+	1.47208i	0.0112972	+	0.0785740i
$352$	1.44123	−	0.349638i	0.0768177	−	0.0186358i
$353$	12.4197	−	0.591623i	0.661034	−	0.0314889i	0.285615	−	0.958344i	$-0.407802\pi$
$353$	12.4197	−	0.591623i	0.661034	−	0.0314889i	0.375418	+	0.926855i	$0.377499\pi$
$354$	1.89171	+	0.180636i	0.100543	+	0.00960070i
$355$	−39.4125	−	37.5798i	−2.09180	−	1.99453i
$356$	−10.5532	+	12.1791i	−0.559320	+	0.645490i
$357$	−2.30505	+	5.80192i	−0.121996	+	0.307070i
$358$	−5.23219	+	1.53631i	−0.276530	+	0.0811965i
$359$	−22.8280	−	16.2557i	−1.20481	−	0.857944i	−0.211960	−	0.977278i	$-0.567985\pi$
$359$	−22.8280	−	16.2557i	−1.20481	−	0.857944i	−0.992854	+	0.119334i	$0.961924\pi$
$360$	−0.183792	−	3.85828i	−0.00968671	−	0.203349i
$361$	−11.4808	+	10.9469i	−0.604251	+	0.576152i
$362$	18.0869	−	14.2237i	0.950628	−	0.747582i
$363$	−8.00532	−	3.65591i	−0.420170	−	0.191885i
$364$	−2.96695	+	2.58457i	−0.155510	+	0.135468i
$365$	−12.6829	+	19.7350i	−0.663853	+	1.03297i
$366$	1.19482	+	0.413533i	0.0624545	+	0.0216157i
$367$	−0.664365	+	1.15071i	−0.0346796	+	0.0600668i	−0.882844	−	0.469666i	$-0.844374\pi$
$367$	−0.664365	+	1.15071i	−0.0346796	+	0.0600668i	0.848165	+	0.529733i	$0.177708\pi$
$368$	−2.09615	−	4.31349i	−0.109269	−	0.224856i
$369$	−0.978123	+	0.564720i	−0.0509191	+	0.0293981i
$370$	−5.92410	+	5.13326i	−0.307979	+	0.266865i
$371$	2.15390	+	7.26476i	0.111825	+	0.377167i
$372$	−1.45853	+	10.1443i	−0.0756213	+	0.525958i
$373$	−1.31974	−	13.8210i	−0.0683337	−	0.715623i	−0.963110	−	0.269108i	$-0.913271\pi$
$373$	−1.31974	−	13.8210i	−0.0683337	−	0.715623i	0.894776	−	0.446515i	$-0.147335\pi$
$374$	1.30061	−	3.24876i	0.0672529	−	0.167990i
$375$	13.1147	+	13.7543i	0.677239	+	0.710267i
$376$	2.16308	−	4.19578i	0.111552	−	0.216381i
$377$	2.14353	−	0.978919i	0.110398	−	0.0504169i
$378$	−2.15112	+	1.54035i	−0.110642	+	0.0792271i
$379$	3.94617	+	3.41937i	0.202701	+	0.175641i	0.750296	−	0.661102i	$-0.229911\pi$
$379$	3.94617	+	3.41937i	0.202701	+	0.175641i	−0.547595	+	0.836744i	$0.684456\pi$
$380$	6.71748	+	1.29469i	0.344599	+	0.0664161i
$381$	3.20943	+	0.778600i	0.164424	+	0.0398889i
$382$	−1.87742	+	19.6612i	−0.0960572	+	1.00596i
$383$	14.0609	+	7.24890i	0.718479	+	0.370401i	0.778372	−	0.627803i	$-0.216046\pi$
$383$	14.0609	+	7.24890i	0.718479	+	0.370401i	−0.0598934	+	0.998205i	$0.519076\pi$
$384$	0.281733	−	0.959493i	0.0143771	−	0.0489639i
$385$	15.1407	+	0.681322i	0.771642	+	0.0347234i
$386$	−1.96591	+	4.30473i	−0.100062	+	0.219105i
$387$	3.00081	+	7.49565i	0.152540	+	0.381025i
$388$	−13.3138	+	6.86374i	−0.675906	+	0.348454i
$389$	−2.59874	−	13.4835i	−0.131761	−	0.683643i	−0.986393	−	0.164407i	$-0.947429\pi$
$389$	−2.59874	−	13.4835i	−0.131761	−	0.683643i	0.854631	−	0.519235i	$-0.173783\pi$
$390$	−2.87231	−	4.97498i	−0.145445	−	0.251918i
$391$	−11.1601	−	1.87497i	−0.564389	−	0.0948211i
$392$	−6.51217	−	2.56741i	−0.328914	−	0.129674i
$393$	−9.04312	−	10.4363i	−0.456165	−	0.526443i
$394$	−0.274935	+	5.77160i	−0.0138510	+	0.290769i
$395$	29.4098	−	37.3976i	1.47977	−	1.88168i
$396$	1.20804	−	0.860243i	0.0607064	−	0.0432288i
$397$	0.835897	+	1.06293i	0.0419525	+	0.0533469i	0.806577	−	0.591130i	$-0.201318\pi$
$397$	0.835897	+	1.06293i	0.0419525	+	0.0533469i	−0.764624	+	0.644476i	$0.777075\pi$
$398$	18.3721	+	5.39455i	0.920912	+	0.270404i
$399$	−1.75300	−	4.34561i	−0.0877597	−	0.217553i
$400$	4.12095	+	9.02363i	0.206048	+	0.451181i
$401$	13.3439	−	13.9947i	0.666362	−	0.698860i	−0.300609	−	0.953748i	$-0.597190\pi$
$401$	13.3439	−	13.9947i	0.666362	−	0.698860i	0.966971	+	0.254887i	$0.0820383\pi$
$402$	0.0115498	+	0.0333709i	0.000576050	+	0.00166439i
$403$	4.98516	+	14.4037i	0.248328	+	0.717498i
$404$	8.44001	−	8.85162i	0.419906	−	0.440385i
$405$	−1.60460	−	3.51359i	−0.0797334	−	0.174592i
$406$	3.30207	+	2.58275i	0.163879	+	0.128180i
$407$	−2.88769	−	0.847903i	−0.143138	−	0.0420290i
$408$	−1.45864	−	1.85481i	−0.0722133	−	0.0918267i
$409$	19.0402	−	13.5585i	0.941480	−	0.670425i	−0.00265086	−	0.999996i	$-0.500844\pi$
$409$	19.0402	−	13.5585i	0.941480	−	0.670425i	0.944130	+	0.329572i	$0.106904\pi$
$410$	2.69680	−	3.42926i	0.133185	−	0.169359i
$411$	0.471757	−	9.90340i	0.0232701	−	0.488499i
$412$	−10.6988	−	12.3471i	−0.527094	−	0.608299i
$413$	3.80837	+	3.28247i	0.187398	+	0.161520i
$414$	−3.54916	−	3.22544i	−0.174432	−	0.158522i
$415$	−11.5285	−	19.9680i	−0.565913	−	0.980189i
$416$	−0.281458	−	1.46034i	−0.0137996	−	0.0715993i
$417$	−15.4672	+	7.97390i	−0.757432	+	0.390483i
$418$	0.976203	+	2.43844i	0.0477476	+	0.119268i
$419$	−2.61833	+	5.73335i	−0.127914	+	0.280093i	−0.962744	−	0.270416i	$-0.912839\pi$
$419$	−2.61833	+	5.73335i	−0.127914	+	0.280093i	0.834830	+	0.550508i	$0.185566\pi$
$420$	5.50251	−	8.61180i	0.268495	−	0.420213i
$421$	−1.47020	+	5.00702i	−0.0716529	+	0.244027i	−0.987530	−	0.157432i	$-0.949679\pi$
$421$	−1.47020	+	5.00702i	−0.0716529	+	0.244027i	0.915877	+	0.401459i	$0.131497\pi$
$422$	−4.70114	−	2.42361i	−0.228848	−	0.117979i
$423$	0.448716	−	4.69917i	0.0218173	−	0.228481i
$424$	−2.78323	−	0.675205i	−0.135166	−	0.0327909i
$425$	22.9849	+	4.42998i	1.11493	+	0.214885i
$426$	−10.6549	−	9.23248i	−0.516229	−	0.447315i
$427$	1.94756	+	2.71980i	0.0942492	+	0.131620i
$428$	9.61431	−	4.39071i	0.464725	−	0.212233i
$429$	1.01066	−	1.96041i	0.0487953	−	0.0946496i
$430$	−21.5216	−	22.5712i	−1.03786	−	1.08848i
$431$	−9.32414	+	23.2906i	−0.449128	+	1.12187i	0.515180	+	0.857082i	$0.327725\pi$
$431$	−9.32414	+	23.2906i	−0.449128	+	1.12187i	−0.964307	+	0.264785i	$0.914699\pi$
$432$	−0.0950560	−	0.995472i	−0.00457339	−	0.0478947i
$433$	3.02469	−	21.0372i	0.145357	−	1.01098i	−0.778336	−	0.627848i	$-0.783936\pi$
$433$	3.02469	−	21.0372i	0.145357	−	1.01098i	0.923693	−	0.383133i	$-0.125155\pi$
$434$	−18.6600	+	19.6734i	−0.895709	+	0.944355i
$435$	−4.62544	+	4.00797i	−0.221773	+	0.192167i
$436$	−1.09224	+	0.630603i	−0.0523086	+	0.0302004i
$437$	7.03348	−	4.76191i	0.336457	−	0.227793i
$438$	−3.03664	+	5.25962i	−0.145096	+	0.251314i
$439$	3.93360	+	1.36143i	0.187741	+	0.0649777i	0.419321	−	0.907838i	$-0.362268\pi$
$439$	3.93360	+	1.36143i	0.187741	+	0.0649777i	−0.231580	+	0.972816i	$0.574390\pi$
$440$	−3.09703	+	4.81907i	−0.147645	+	0.229740i
$441$	−6.99990	+	0.0368316i	−0.333329	+	0.00175388i
$442$	−3.19219	−	1.45782i	−0.151837	−	0.0693416i
$443$	−0.911853	+	0.717089i	−0.0433235	+	0.0340699i	−0.639586	−	0.768720i	$-0.720894\pi$
$443$	−0.911853	+	0.717089i	−0.0433235	+	0.0340699i	0.596262	+	0.802790i	$0.296652\pi$
$444$	−1.46872	+	1.40042i	−0.0697021	+	0.0664609i
$445$	−2.96186	−	62.1771i	−0.140406	−	2.94747i
$446$	17.2835	+	12.3075i	0.818399	+	0.582779i
$447$	1.70076	−	0.499387i	0.0804430	−	0.0236202i
$448$	2.07539	−	1.64096i	0.0980530	−	0.0775281i
$449$	2.02479	−	2.33673i	0.0955558	−	0.110277i	−0.705958	−	0.708254i	$-0.749483\pi$
$449$	2.02479	−	2.33673i	0.0955558	−	0.110277i	0.801513	+	0.597977i	$0.204029\pi$
$450$	7.17950	+	6.84564i	0.338445	+	0.322707i
$451$	1.66741	+	0.159218i	0.0785153	+	0.00749730i
$452$	−0.980502	+	0.0467071i	−0.0461190	+	0.00219692i
$453$	−14.8139	+	3.59382i	−0.696018	+	0.168852i
$454$	3.50584	+	24.3836i	0.164537	+	1.14438i
$455$	1.40493	−	15.1338i	0.0658642	−	0.709481i
$456$	1.75306	+	0.252052i	0.0820947	+	0.0118034i
$457$	25.3192	+	1.20610i	1.18438	+	0.0564190i	0.630508	−	0.776182i	$-0.282846\pi$
$457$	25.3192	+	1.20610i	1.18438	+	0.0564190i	0.553873	+	0.832601i	$0.313149\pi$
$458$	−6.98689	+	1.34661i	−0.326476	+	0.0629230i
$459$	−2.04352	−	1.17982i	−0.0953831	−	0.0550695i
$460$	17.3576	+	6.47114i	0.809302	+	0.301718i
$461$		−	0.0756405i		−	0.00352293i	−0.999998	−	0.00176146i	$-0.999439\pi$
$461$		−	0.0756405i		−	0.00352293i	0.999998	−	0.00176146i	$-0.000560692\pi$
$462$	3.92372	−	0.0103227i	0.182548	−	0.000480256i
$463$	−28.0025	−	17.9961i	−1.30139	−	0.836350i	−0.308024	−	0.951379i	$-0.599668\pi$
$463$	−28.0025	−	17.9961i	−1.30139	−	0.836350i	−0.993362	+	0.115028i	$0.963304\pi$
$464$	−1.47099	+	0.588895i	−0.0682890	+	0.0273388i
$465$	−22.9626	−	32.2465i	−1.06487	−	1.49540i
$466$	25.3710	+	10.1570i	1.17529	+	0.470514i
$467$	6.18097	+	25.4783i	0.286021	+	1.17900i	0.915610	+	0.402068i	$0.131708\pi$
$467$	6.18097	+	25.4783i	0.286021	+	1.17900i	−0.629589	+	0.776929i	$0.716777\pi$
$468$	−0.804052	−	1.25113i	−0.0371673	−	0.0578335i
$469$	−0.0260862	+	0.0897139i	−0.00120455	+	0.00414260i
$470$	5.13706	+	17.4952i	0.236955	+	0.806994i
$471$	1.52910	−	7.93375i	0.0704574	−	0.365568i
$472$	−1.79580	+	0.621531i	−0.0826582	+	0.0286083i
$473$	2.82298	−	11.6365i	0.129801	−	0.535046i
$474$	7.14457	−	10.0331i	0.328161	−	0.460838i
$475$	−14.7803	+	9.49872i	−0.678167	+	0.435831i
$476$	−0.313461	−	6.23517i	−0.0143674	−	0.285788i
$477$	−2.83481	+	0.407585i	−0.129797	+	0.0186620i
$478$	−5.33353	+	0.509290i	−0.243950	+	0.0232944i
$479$	22.4381	+	17.6455i	1.02522	+	0.806244i	0.981240	−	0.192789i	$-0.0617532\pi$
$479$	22.4381	+	17.6455i	1.02522	+	0.806244i	0.0439819	+	0.999032i	$0.485996\pi$
$480$	1.76997	+	3.43326i	0.0807877	+	0.156706i
$481$	−0.987124	+	2.85211i	−0.0450090	+	0.130045i
$482$	−6.32547			−0.288117
$483$	−2.73159	−	12.3911i	−0.124292	−	0.563813i
$484$	8.80061			0.400028
$485$	18.9236	−	54.6762i	0.859278	−	2.48272i
$486$	−0.458227	−	0.888835i	−0.0207856	−	0.0403184i
$487$	22.6334	+	17.7991i	1.02562	+	0.806553i	0.981304	−	0.192465i	$-0.0616482\pi$
$487$	22.6334	+	17.7991i	1.02562	+	0.806553i	0.0443115	+	0.999018i	$0.485891\pi$
$488$	−1.25864	+	0.120185i	−0.0569759	+	0.00544054i
$489$	0.0850360	−	0.0122263i	0.00384546	−	0.000552894i
$490$	25.0485	−	10.1812i	1.13158	−	0.459938i
$491$	20.4637	−	13.1512i	0.923513	−	0.593506i	0.00983783	−	0.999952i	$-0.496868\pi$
$491$	20.4637	−	13.1512i	0.923513	−	0.593506i	0.913675	+	0.406446i	$0.133232\pi$
$492$	0.655139	−	0.920014i	0.0295360	−	0.0414774i
$493$	−0.881464	+	3.63345i	−0.0396992	+	0.163642i
$494$	2.48913	−	0.861498i	0.111991	−	0.0387606i
$495$	−1.08411	+	5.62492i	−0.0487273	+	0.252821i
$496$	−2.88737	−	9.83348i	−0.129647	−	0.441536i
$497$	−8.88934	−	36.2261i	−0.398741	−	1.62496i
$498$	−3.22721	−	5.02163i	−0.144615	−	0.225025i
$499$	−1.96273	−	8.09047i	−0.0878637	−	0.362179i	0.910858	−	0.412719i	$-0.135421\pi$
$499$	−1.96273	−	8.09047i	−0.0878637	−	0.362179i	−0.998722	+	0.0505400i	$0.983906\pi$
$500$	−17.6433	−	7.06329i	−0.789030	−	0.315880i
$501$	−13.5610	−	19.0438i	−0.605862	−	0.850815i
$502$	23.9103	−	9.57224i	1.06717	−	0.427230i
$503$	−4.11327	−	2.64344i	−0.183401	−	0.117865i	0.445719	−	0.895173i	$-0.352948\pi$
$503$	−4.11327	−	2.64344i	−0.183401	−	0.117865i	−0.629120	+	0.777308i	$0.716585\pi$
$504$	1.31684	−	2.29476i	0.0586569	−	0.102217i
$505$			47.2421i			2.10225i
$506$	1.51287	+	6.94961i	0.0672552	+	0.308948i
$507$	9.34283	+	5.39409i	0.414930	+	0.239560i
$508$	−3.24284	+	0.625007i	−0.143878	+	0.0277302i
$509$	1.00915	+	0.0480718i	0.0447298	+	0.00213074i	0.0699349	−	0.997552i	$-0.477721\pi$
$509$	1.00915	+	0.0480718i	0.0447298	+	0.00213074i	−0.0252051	+	0.999682i	$0.508024\pi$
$510$	9.02173	+	1.29713i	0.399489	+	0.0574378i
$511$	−14.5987	+	6.71348i	−0.645809	+	0.296987i
$512$	0.142315	+	0.989821i	0.00628949	+	0.0437443i
$513$	1.72117	−	0.417550i	0.0759914	−	0.0184353i
$514$	−2.25469	+	0.107404i	−0.0994500	+	0.00473739i
$515$	62.8206	+	5.99864i	2.76821	+	0.264332i
$516$	−5.84343	−	5.57170i	−0.257243	−	0.245281i
$517$	−4.58449	+	5.29079i	−0.201626	+	0.232689i
$518$	−5.31250	+	0.778092i	−0.233418	+	0.0341874i
$519$	23.2238	−	6.81914i	1.01941	−	0.299327i
$520$	4.67943	+	3.33220i	0.205206	+	0.146127i
$521$	0.474558	+	9.96220i	0.0207908	+	0.436452i	0.985133	+	0.171793i	$0.0549562\pi$
$521$	0.474558	+	9.96220i	0.0207908	+	0.436452i	−0.964342	+	0.264658i	$0.914741\pi$
$522$	−1.14675	+	1.09342i	−0.0501918	+	0.0478578i
$523$	−3.57115	+	2.80839i	−0.156156	+	0.122802i	−0.693180	−	0.720765i	$-0.743791\pi$
$523$	−3.57115	+	2.80839i	−0.156156	+	0.122802i	0.537024	+	0.843567i	$0.319548\pi$
$524$	12.5613	+	5.73656i	0.548744	+	0.250603i
$525$	5.03489	+	25.7586i	0.219741	+	1.12420i
$526$	3.00613	−	4.67763i	0.131073	−	0.203954i
$527$	−22.8531	−	7.90953i	−0.995496	−	0.344545i
$528$	−0.741516	+	1.28434i	−0.0322704	+	0.0558939i
$529$	20.9187	−	9.56071i	0.909509	−	0.415683i
$530$	9.58040	−	5.53125i	0.416146	−	0.240262i
$531$	−1.43616	+	1.24444i	−0.0623240	+	0.0540041i
$532$	3.39982	+	3.22468i	0.147401	+	0.139808i
$533$	0.239050	−	1.66263i	0.0103544	−	0.0720164i
$534$	−1.53185	−	16.0423i	−0.0662897	−	0.694217i
$535$	−15.1735	+	37.9016i	−0.656009	+	1.63863i
$536$	−0.0243688	−	0.0255572i	−0.00105257	−	0.00110391i
$537$	2.49875	−	4.84689i	0.107829	−	0.209159i
$538$	17.7003	−	8.08348i	0.763116	−	0.348504i
$539$	8.48786	+	5.97713i	0.365598	+	0.257453i
$540$	2.91920	+	2.52950i	0.125622	+	0.108852i
$541$	−38.5717	−	7.43408i	−1.65833	−	0.319616i	−0.727785	−	0.685805i	$-0.759450\pi$
$541$	−38.5717	−	7.43408i	−1.65833	−	0.319616i	−0.930540	+	0.366189i	$0.880662\pi$
$542$	−25.9950	−	6.30631i	−1.11658	−	0.270879i
$543$	−2.18722	+	22.9056i	−0.0938626	+	0.982974i
$544$	2.09734	+	1.08125i	0.0899227	+	0.0463584i
$545$	1.37249	−	4.67427i	0.0587909	−	0.200224i
$546$	0.176885	−	3.93084i	0.00756999	−	0.168224i
$547$	12.9958	−	28.4568i	0.555659	−	1.21672i	−0.398429	−	0.917199i	$-0.630445\pi$
$547$	12.9958	−	28.4568i	0.555659	−	1.21672i	0.954088	−	0.299525i	$-0.0968282\pi$
$548$	3.68490	+	9.20442i	0.157411	+	0.393193i
$549$	−1.12381	+	0.579365i	−0.0479631	+	0.0247267i
$550$	−2.78423	−	14.4459i	−0.118720	−	0.615977i
$551$	−1.40314	−	2.43031i	−0.0597757	−	0.103534i
$552$	4.56832	+	1.45959i	0.194441	+	0.0621244i
$553$	30.7673	−	10.7394i	1.30836	−	0.456686i
$554$	6.42374	+	7.41339i	0.272918	+	0.314965i
$555$	0.372981	−	7.82983i	0.0158321	−	0.332358i
$556$	10.7570	−	13.6786i	0.456198	−	0.580103i
$557$	−15.6390	+	11.1365i	−0.662644	+	0.471867i	−0.861229	−	0.508217i	$-0.830305\pi$
$557$	−15.6390	+	11.1365i	−0.662644	+	0.471867i	0.198585	+	0.980084i	$0.436365\pi$
$558$	−6.33528	−	8.05596i	−0.268194	−	0.341036i
$559$	−11.5214	−	3.38300i	−0.487305	−	0.143086i
$560$	−1.42779	+	10.1194i	−0.0603350	+	0.427622i
$561$	1.45372	+	3.18320i	0.0613760	+	0.134395i
$562$	−14.5538	+	15.2636i	−0.613916	+	0.643857i
$563$	0.954545	+	2.75798i	0.0402293	+	0.116235i	0.963327	−	0.268331i	$-0.0864722\pi$
$563$	0.954545	+	2.75798i	0.0402293	+	0.116235i	−0.923097	+	0.384566i	$0.874351\pi$
$564$	1.54394	+	4.46091i	0.0650115	+	0.187838i
$565$	2.61653	−	2.74414i	0.110078	−	0.115447i
$566$	−12.9736	−	28.4081i	−0.545320	−	1.19408i
$567$	0.369639	−	2.61980i	0.0155234	−	0.110021i
$568$	13.5273	+	3.97198i	0.567593	+	0.166660i
$569$	14.1257	+	17.9623i	0.592182	+	0.753020i	0.986105	−	0.166123i	$-0.0531249\pi$
$569$	14.1257	+	17.9623i	0.592182	+	0.753020i	−0.393923	+	0.919143i	$0.628882\pi$
$570$	−5.57260	+	3.96823i	−0.233411	+	0.166211i
$571$	23.1157	−	29.3940i	0.967363	−	1.23010i	−0.00580012	−	0.999983i	$-0.501846\pi$
$571$	23.1157	−	29.3940i	0.967363	−	1.23010i	0.973163	−	0.230118i	$-0.0739113\pi$
$572$	−0.104946	+	2.20310i	−0.00438803	+	0.0921162i
$573$	−12.9339	−	14.9266i	−0.540323	−	0.623566i
$574$	2.82129	−	0.984775i	0.117758	−	0.0411037i
$575$	−43.7311	+	18.7344i	−1.82371	+	0.781278i
$576$	0.500000	+	0.866025i	0.0208333	+	0.0360844i
$577$	8.06238	+	41.8316i	0.335641	+	1.74147i	0.621696	+	0.783258i	$0.286444\pi$
$577$	8.06238	+	41.8316i	0.335641	+	1.74147i	−0.286055	+	0.958213i	$0.592344\pi$
$578$	−10.1612	+	5.23847i	−0.422651	+	0.217892i
$579$	−1.75885	−	4.39340i	−0.0730954	−	0.182583i
$580$	2.54248	−	5.56725i	0.105571	−	0.231168i
$581$	0.709960	−	15.7771i	0.0294541	−	0.654545i
$582$	4.22005	−	14.3722i	0.174927	−	0.595746i
$583$	3.77520	+	1.94625i	0.156353	+	0.0806054i
$584$	0.577302	−	6.04578i	0.0238889	−	0.250176i
$585$	5.58268	+	1.35434i	0.230816	+	0.0559953i
$586$	−7.42641	−	1.43132i	−0.306782	−	0.0591274i
$587$	−11.3470	−	9.83219i	−0.468339	−	0.405818i	0.388462	−	0.921465i	$-0.373006\pi$
$587$	−11.3470	−	9.83219i	−0.468339	−	0.405818i	−0.856801	+	0.515646i	$0.827552\pi$
$588$	6.35204	−	2.94137i	0.261954	−	0.121300i
$589$	16.5110	−	7.54030i	0.680322	−	0.310693i
$590$	3.36349	−	6.52427i	0.138473	−	0.268600i
$591$	−3.98737	−	4.18184i	−0.164019	−	0.172018i
$592$	0.754236	−	1.88399i	0.0309989	−	0.0774315i
$593$	−0.307861	−	3.22407i	−0.0126423	−	0.132397i	0.986947	−	0.161044i	$-0.0514861\pi$
$593$	−0.307861	−	3.22407i	−0.0126423	−	0.132397i	−0.999590	+	0.0286473i	$0.990880\pi$
$594$	−0.211058	+	1.46794i	−0.00865979	+	0.0602302i
$595$	17.4964	+	16.5951i	0.717280	+	0.680332i
$596$	−1.33961	+	1.16078i	−0.0548725	+	0.0475473i
$597$	−16.5824	+	9.57388i	−0.678674	+	0.391833i
$598$	7.03353	−	1.18381i	0.287622	−	0.0484097i
$599$	0.570746	−	0.988562i	0.0233201	−	0.0403915i	−0.854130	−	0.520060i	$-0.825910\pi$
$599$	0.570746	−	0.988562i	0.0233201	−	0.0403915i	0.877450	+	0.479668i	$0.159243\pi$
$600$	−9.37449	−	3.24454i	−0.382712	−	0.132458i
$601$	14.9951	−	23.3328i	0.611663	−	0.951767i	−0.387885	−	0.921708i	$-0.626794\pi$
$601$	14.9951	−	23.3328i	0.611663	−	0.951767i	0.999548	−	0.0300589i	$-0.00956949\pi$
$602$	−4.09792	−	20.9651i	−0.167019	−	0.854473i
$603$	−0.0321219	−	0.0146696i	−0.00130810	−	0.000597391i
$604$	11.9823	−	9.42297i	0.487552	−	0.383415i
$605$	−24.6024	+	23.4584i	−1.00023	+	0.953718i
$606$	0.581950	+	12.2166i	0.0236401	+	0.496267i
$607$	11.4612	+	8.16145i	0.465194	+	0.331263i	0.788504	−	0.615030i	$-0.210856\pi$
$607$	11.4612	+	8.16145i	0.465194	+	0.331263i	−0.323310	+	0.946293i	$0.604796\pi$
$608$	−1.69935	+	0.498974i	−0.0689177	+	0.0202361i
$609$	−4.14791	+	0.607522i	−0.168082	+	0.0246180i
$610$	3.19821	−	3.69093i	0.129492	−	0.149441i
$611$	5.08096	+	4.84469i	0.205554	+	0.195995i
$612$	2.34896	+	0.224299i	0.0949512	+	0.00906674i
$613$	6.98959	−	0.332955i	0.282307	−	0.0134479i	0.0940489	−	0.995568i	$-0.470019\pi$
$613$	6.98959	−	0.332955i	0.282307	−	0.0134479i	0.188258	+	0.982120i	$0.439716\pi$
$614$	−19.2793	+	4.67710i	−0.778048	+	0.188752i
$615$	0.620867	+	4.31823i	0.0250358	+	0.174128i
$616$	−3.56485	+	1.63936i	−0.143632	+	0.0660518i
$617$	−7.27304	−	1.04570i	−0.292801	−	0.0420985i	−0.00565115	−	0.999984i	$-0.501799\pi$
$617$	−7.27304	−	1.04570i	−0.292801	−	0.0420985i	−0.287150	+	0.957886i	$0.592708\pi$
$618$	16.3191	+	0.777373i	0.656449	+	0.0312705i
$619$	−13.4842	+	2.59886i	−0.541975	+	0.104457i	−0.452889	−	0.891567i	$-0.649607\pi$
$619$	−13.4842	+	2.59886i	−0.541975	+	0.104457i	−0.0890856	+	0.996024i	$0.528394\pi$
$620$	34.2832	+	19.7934i	1.37685	+	0.794924i
$621$	4.78356	−	0.342836i	0.191958	−	0.0137575i
$622$		−	20.2073i		−	0.810240i
$623$	21.2212	−	36.9806i	0.850211	−	1.48160i
$624$	1.25113	+	0.804052i	0.0500853	+	0.0321878i
$625$	22.1023	−	8.84843i	0.884092	−	0.353937i
$626$	−2.07162	−	2.90919i	−0.0827988	−	0.116275i
$627$	−2.43844	−	0.976203i	−0.0973818	−	0.0389858i
$628$	1.90488	+	7.85200i	0.0760128	+	0.313329i
$629$	−2.58890	−	4.02840i	−0.103226	−	0.160623i
$630$	2.43549	+	9.92517i	0.0970321	+	0.395428i
$631$	−0.947630	−	3.22733i	−0.0377245	−	0.128478i	0.938478	−	0.345339i	$-0.112236\pi$
$631$	−0.947630	−	3.22733i	−0.0377245	−	0.128478i	−0.976202	+	0.216861i	$0.930418\pi$
$632$	−2.33101	+	12.0944i	−0.0927227	+	0.481091i
$633$	4.99820	−	1.72990i	0.198661	−	0.0687572i
$634$	−2.27186	+	9.36474i	−0.0902271	+	0.371921i
$635$	7.39950	−	10.3911i	0.293640	−	0.412360i
$636$	2.40932	−	1.54838i	0.0955357	−	0.0613971i
$637$	6.39222	−	8.21699i	0.253269	−	0.325569i
$638$	2.32593	−	0.334418i	0.0920845	−	0.0132398i
$639$	14.0346	−	1.34014i	0.555198	−	0.0530150i
$640$	−3.03625	−	2.38773i	−0.120018	−	0.0943835i
$641$	14.3792	+	27.8918i	0.567946	+	1.10166i	0.981550	+	0.191205i	$0.0612395\pi$
$641$	14.3792	+	27.8918i	0.567946	+	1.10166i	−0.413604	+	0.910457i	$0.635730\pi$
$642$	−3.45693	+	9.98813i	−0.136434	+	0.394200i
$643$	−12.4776			−0.492069			−0.246035	−	0.969261i	$-0.579128\pi$
$643$	−12.4776			−0.492069			−0.246035	+	0.969261i	$0.579128\pi$
$644$	7.63217	+	10.1366i	0.300750	+	0.399437i
$645$	31.1871			1.22799
$646$	−1.36687	+	3.94930i	−0.0537786	+	0.155383i
$647$	21.1220	+	40.9711i	0.830393	+	1.61074i	0.791241	+	0.611505i	$0.209436\pi$
$647$	21.1220	+	40.9711i	0.830393	+	1.61074i	0.0391528	+	0.999233i	$0.487534\pi$
$648$	0.786053	+	0.618159i	0.0308791	+	0.0242836i
$649$	2.80546	−	0.267889i	0.110124	−	0.0105156i
$650$	−14.6032	+	2.09962i	−0.572784	+	0.0823539i
$651$	−1.36145	−	27.0811i	−0.0533594	−	1.06139i
$652$	−0.0722724	+	0.0464467i	−0.00283041	+	0.00181899i
$653$	−3.28593	+	4.61444i	−0.128588	+	0.180577i	−0.873851	−	0.486194i	$-0.838385\pi$
$653$	−3.28593	+	4.61444i	−0.128588	+	0.180577i	0.745262	+	0.666771i	$0.232324\pi$
$654$	0.297341	−	1.22565i	0.0116269	−	0.0479269i
$655$	−50.4066	+	17.4459i	−1.96955	+	0.681667i
$656$	−0.213748	+	1.10903i	−0.00834545	+	0.0433003i
$657$	−1.71104	−	5.82727i	−0.0667541	−	0.227344i
$658$	−3.48713	+	11.9927i	−0.135942	+	0.467524i
$659$	−22.6988	−	35.3200i	−0.884219	−	1.37587i	−0.926312	−	0.376758i	$-0.877039\pi$
$659$	−22.6988	−	35.3200i	−0.884219	−	1.37587i	0.0420928	−	0.999114i	$-0.486597\pi$
$660$	−1.35053	−	5.56696i	−0.0525693	−	0.216694i
$661$	35.7237	+	14.3016i	1.38949	+	0.556268i	0.941270	−	0.337655i	$-0.109634\pi$
$661$	35.7237	+	14.3016i	1.38949	+	0.556268i	0.448220	+	0.893923i	$0.352058\pi$
$662$	0.510599	+	0.717037i	0.0198450	+	0.0278684i
$663$	3.25794	−	1.30428i	0.126528	−	0.0506541i
$664$	5.02163	+	3.22721i	0.194877	+	0.125240i
$665$	−18.0998	+	0.0476178i	−0.701880	+	0.00184654i
$666$		−	2.02936i		−	0.0786360i
$667$	−2.65661	−	7.11944i	−0.102864	−	0.275666i
$668$	20.2466	+	11.6894i	0.783366	+	0.452276i
$669$	−20.8344	+	4.01550i	−0.805504	+	0.155248i
$670$	0.136248	+	0.00649027i	0.00526370	+	0.000250741i
$671$	1.85601	+	0.266853i	0.0716503	+	0.0103018i
$672$	−0.244565	+	2.63442i	−0.00943429	+	0.101625i
$673$	−2.29992	−	15.9963i	−0.0886553	−	0.616611i	−0.984909	−	0.173070i	$-0.944631\pi$
$673$	−2.29992	−	15.9963i	−0.0886553	−	0.616611i	0.896254	−	0.443541i	$-0.146278\pi$
$674$	11.5728	−	2.80754i	0.445769	−	0.108142i
$675$	−9.90885	+	0.472017i	−0.381392	+	0.0181679i
$676$	−10.7393	−	1.02548i	−0.413051	−	0.0394416i
$677$	20.5340	+	19.5792i	0.789187	+	0.752489i	0.973082	−	0.230457i	$-0.0740222\pi$
$677$	20.5340	+	19.5792i	0.789187	+	0.752489i	−0.183895	+	0.982946i	$0.558871\pi$
$678$	0.642821	−	0.741855i	0.0246874	−	0.0284908i
$679$	31.0871	−	24.5798i	1.19301	−	0.943287i
$680$	−8.74530	+	2.56785i	−0.335367	+	0.0984726i
$681$	−20.0666	−	14.2893i	−0.768953	−	0.547569i
$682$	0.723200	+	15.1818i	0.0276927	+	0.581342i
$683$	0.953119	−	0.908797i	0.0364701	−	0.0347742i	−0.671625	−	0.740891i	$-0.734403\pi$
$683$	0.953119	−	0.908797i	0.0364701	−	0.0347742i	0.708095	+	0.706117i	$0.249555\pi$
$684$	−1.39217	+	1.09482i	−0.0532310	+	0.0418613i
$685$	−34.8360	−	15.9091i	−1.33101	−	0.607854i
$686$	18.2127	+	3.36134i	0.695363	+	0.128337i
$687$	3.84691	−	5.98592i	0.146769	−	0.228377i
$688$	7.62994	+	2.64075i	0.290889	+	0.100678i
$689$	2.12967	−	3.68870i	0.0811341	−	0.140528i
$690$	−16.6615	+	8.09669i	−0.634292	+	0.308236i
$691$	−35.1232	+	20.2784i	−1.33615	+	0.771425i	−0.986234	−	0.165357i	$-0.947122\pi$
$691$	−35.1232	+	20.2784i	−1.33615	+	0.771425i	−0.349914	+	0.936782i	$0.613789\pi$
$692$	−18.2924	+	15.8504i	−0.695372	+	0.602543i
$693$	−2.70021	+	2.84685i	−0.102572	+	0.108143i
$694$	1.48257	−	10.3115i	0.0562777	−	0.391420i
$695$	6.38934	+	66.9122i	0.242361	+	2.53812i
$696$	0.588895	−	1.47099i	0.0223220	−	0.0557577i
$697$	1.83912	+	1.92881i	0.0696615	+	0.0730588i
$698$	12.3837	−	24.0210i	0.468729	−	0.909207i
$699$	−24.8589	+	11.3527i	−0.940251	+	0.429398i
$700$	−15.2804	−	21.3393i	−0.577545	−	0.806550i
$701$	10.7539	+	9.31829i	0.406168	+	0.351947i	0.833858	−	0.551979i	$-0.186127\pi$
$701$	10.7539	+	9.31829i	0.406168	+	0.351947i	−0.427690	+	0.903926i	$0.640672\pi$
$702$	1.46034	+	0.281458i	0.0551171	+	0.0106230i
$703$	3.49286	+	0.847359i	0.131736	+	0.0319588i
$704$	0.140971	−	1.47632i	0.00531305	−	0.0556408i
$705$	−16.2069	−	8.35521i	−0.610386	−	0.314676i
$706$	3.50300	−	11.9301i	0.131837	−	0.448996i
$707$	−17.4228	+	27.2679i	−0.655253	+	1.02552i
$708$	0.789418	−	1.72858i	0.0296681	−	0.0649642i
$709$	−5.74887	−	14.3600i	−0.215903	−	0.539301i	0.780393	−	0.625290i	$-0.215019\pi$
$709$	−5.74887	−	14.3600i	−0.215903	−	0.539301i	−0.996296	+	0.0859891i	$0.972595\pi$
$710$	−48.4035	+	24.9537i	−1.81655	+	0.936497i
$711$	2.33101	+	12.0944i	0.0874198	+	0.453577i
$712$	8.05762	+	13.9562i	0.301972	+	0.523031i
$713$	47.4740	−	12.7281i	1.77792	−	0.476672i
$714$	4.72892	+	4.07590i	0.176975	+	0.152537i
$715$	−5.57905	−	6.43857i	−0.208645	−	0.240789i
$716$	−0.259468	+	5.44690i	−0.00969677	+	0.203560i
$717$	3.31197	−	4.21151i	0.123688	−	0.157282i
$718$	−22.8280	+	16.2557i	−0.851932	+	0.606658i
$719$	3.90845	+	4.97000i	0.145761	+	0.185350i	0.853451	−	0.521173i	$-0.174505\pi$
$719$	3.90845	+	4.97000i	0.145761	+	0.185350i	−0.707690	+	0.706523i	$0.750263\pi$
$720$	−3.70619	−	1.08824i	−0.138121	−	0.0405561i
$721$	34.0475	+	26.6305i	1.26799	+	0.991773i
$722$	6.58983	+	14.4297i	0.245248	+	0.537018i
$723$	4.36507	−	4.57796i	0.162339	−	0.170256i
$724$	−7.52577	−	21.7443i	−0.279693	−	0.808120i
$725$	5.14094	+	14.8538i	0.190930	+	0.551656i
$726$	−6.07312	+	6.36930i	−0.225395	+	0.236387i
$727$	16.6083	+	36.3671i	0.615967	+	1.34878i	0.918417	+	0.395614i	$0.129468\pi$
$727$	16.6083	+	36.3671i	0.615967	+	1.34878i	−0.302450	+	0.953165i	$0.597804\pi$
$728$	1.47203	+	3.64910i	0.0545570	+	0.135245i
$729$	0.959493	+	0.281733i	0.0355368	+	0.0104345i
$730$	14.5014	+	18.4400i	0.536720	+	0.682495i
$731$	15.5192	−	11.0511i	0.573997	−	0.408741i
$732$	0.781578	−	0.993857i	0.0288879	−	0.0367340i
$733$	−0.145016	+	3.04426i	−0.00535628	+	0.112442i	0.994606	+	0.103728i	$0.0330770\pi$
$733$	−0.145016	+	3.04426i	−0.00535628	+	0.112442i	−0.999962	+	0.00871459i	$0.997226\pi$
$734$	0.870133	+	1.00419i	0.0321172	+	0.0370652i
$735$	−9.91701	+	25.1543i	−0.365794	+	0.927829i
$736$	−4.76183	+	0.570059i	−0.175523	+	0.0210126i
$737$	0.0261852	+	0.0453541i	0.000964544	+	0.00167064i
$738$	0.213748	+	1.10903i	0.00786817	+	0.0408239i
$739$	22.3831	−	11.5393i	0.823375	−	0.424479i	0.00557697	−	0.999984i	$-0.498225\pi$
$739$	22.3831	−	11.5393i	0.823375	−	0.424479i	0.817798	+	0.575505i	$0.195194\pi$
$740$	2.91335	+	7.27720i	0.107097	+	0.267515i
$741$	−1.09420	+	2.39597i	−0.0401966	+	0.0880183i
$742$	7.56968	+	0.340631i	0.277892	+	0.0125049i
$743$	−0.0903556	+	0.307723i	−0.00331482	+	0.0112893i	−0.961134	−	0.276083i	$-0.910964\pi$
$743$	−0.0903556	+	0.307723i	−0.00331482	+	0.0112893i	0.957819	+	0.287372i	$0.0927817\pi$
$744$	9.10934	+	4.69619i	0.333965	+	0.172171i
$745$	0.650827	−	6.81577i	0.0238445	−	0.249711i
$746$	−13.4925	−	3.27324i	−0.493995	−	0.119842i
$747$	5.86135	+	1.12968i	0.214456	+	0.0413329i
$748$	−2.64470	−	2.29164i	−0.0966997	−	0.0837907i
$749$	−22.7362	+	16.2807i	−0.830761	+	0.594882i
$750$	17.2872	−	7.89479i	0.631239	−	0.288277i
$751$	21.3410	−	41.3957i	0.778744	−	1.51055i	−0.0792290	−	0.996856i	$-0.525246\pi$
$751$	21.3410	−	41.3957i	0.778744	−	1.51055i	0.857973	−	0.513695i	$-0.171724\pi$
$752$	−3.25755	−	3.41642i	−0.118790	−	0.124584i
$753$	−9.57224	+	23.9103i	−0.348832	+	0.871340i
$754$	−0.223998	−	2.34581i	−0.00815753	−	0.0854295i
$755$	−8.37961	+	58.2814i	−0.304965	+	2.12108i
$756$	0.752070	+	2.53661i	0.0273525	+	0.0922556i
$757$	−29.0427	+	25.1656i	−1.05557	+	0.914660i	−0.996500	−	0.0835932i	$-0.973360\pi$
$757$	−29.0427	+	25.1656i	−1.05557	+	0.914660i	−0.0590743	+	0.998254i	$0.518815\pi$
$758$	4.52198	−	2.61076i	0.164246	−	0.0948272i
$759$	−6.07367	−	3.70087i	−0.220460	−	0.134333i
$760$	3.42055	−	5.92457i	0.124077	−	0.214907i
$761$	4.58875	+	1.58818i	0.166342	+	0.0575715i	0.408970	−	0.912548i	$-0.365888\pi$
$761$	4.58875	+	1.58818i	0.166342	+	0.0575715i	−0.242628	+	0.970119i	$0.578009\pi$
$762$	1.78548	−	2.77826i	0.0646811	−	0.100646i
$763$	2.51606	−	2.19179i	0.0910873	−	0.0793481i
$764$	17.9658	+	8.20472i	0.649981	+	0.296836i
$765$	−7.16448	+	5.63421i	−0.259032	+	0.203705i
$766$	11.4491	−	10.9167i	0.413672	−	0.394436i
$767$	−0.134475	−	2.82298i	−0.00485562	−	0.101932i
$768$	−0.814576	−	0.580057i	−0.0293935	−	0.0209310i
$769$	5.19828	−	1.52635i	0.187455	−	0.0550417i	−0.186658	−	0.982425i	$-0.559766\pi$
$769$	5.19828	−	1.52635i	0.187455	−	0.0550417i	0.374113	+	0.927383i	$0.377947\pi$
$770$	5.59589	−	14.0851i	0.201662	−	0.507593i
$771$	1.47818	−	1.70591i	0.0532354	−	0.0614369i
$772$	3.42499	+	3.26572i	0.123268	+	0.117536i
$773$	6.96107	+	0.664701i	0.250372	+	0.0239076i	0.219488	−	0.975615i	$-0.429561\pi$
$773$	6.96107	+	0.664701i	0.250372	+	0.0239076i	0.0308847	+	0.999523i	$0.490168\pi$
$774$	8.06486	−	0.384177i	0.289886	−	0.0138090i
$775$	−98.8014	+	23.9690i	−3.54905	+	0.860991i
$776$	2.13172	+	14.8265i	0.0765244	+	0.532239i
$777$	3.10291	−	4.38178i	0.111316	−	0.157195i
$778$	−13.5919	−	1.95422i	−0.487294	−	0.0700623i
$779$	−1.99807	−	0.0951800i	−0.0715884	−	0.00341018i
$780$	−5.64080	+	1.08718i	−0.201973	+	0.0389271i
$781$	−18.1072	−	10.4542i	−0.647926	−	0.374080i
$782$	−5.42194	+	9.93303i	−0.193888	+	0.355204i
$783$		−	1.58449i		−	0.0566250i
$784$	−4.55613	+	5.31429i	−0.162719	+	0.189796i
$785$	−26.2549	−	16.8730i	−0.937079	−	0.602224i
$786$	−12.8200	+	5.13237i	−0.457276	+	0.183066i
$787$	−1.76063	−	2.47246i	−0.0627597	−	0.0881337i	0.782003	−	0.623274i	$-0.214198\pi$
$787$	−1.76063	−	2.47246i	−0.0627597	−	0.0881337i	−0.844763	+	0.535141i	$0.820259\pi$
$788$	5.36424	+	2.14752i	0.191093	+	0.0765022i
$789$	1.31089	+	5.40357i	0.0466690	+	0.192372i
$790$	−25.7217	−	40.0238i	−0.915138	−	1.42398i
$791$	2.52228	−	0.618929i	0.0896819	−	0.0220066i
$792$	−0.417819	−	1.42296i	−0.0148465	−	0.0505627i
$793$	0.355866	−	1.84641i	0.0126372	−	0.0655678i
$794$	1.27786	−	0.442273i	0.0453497	−	0.0156957i
$795$	−2.60808	+	10.7507i	−0.0924992	+	0.381287i
$796$	11.1068	−	15.5973i	0.393670	−	0.552832i
$797$	−42.4195	+	27.2613i	−1.50257	+	0.965646i	−0.508030	+	0.861340i	$0.669626\pi$
$797$	−42.4195	+	27.2613i	−1.50257	+	0.965646i	−0.994545	+	0.104307i	$0.966738\pi$
$798$	−4.67996	+	0.235275i	−0.165669	+	0.00832866i
$799$	−11.0254	+	1.58522i	−0.390052	+	0.0560810i
$800$	9.87517	−	0.942964i	0.349140	−	0.0333388i
$801$	12.6674	+	9.96178i	0.447582	+	0.351982i
$802$	−8.86061	−	17.1872i	−0.312879	−	0.606901i
$803$	−2.94586	+	8.51151i	−0.103957	+	0.300365i
$804$	0.0353130			0.00124539
$805$	−48.3554	−	7.99328i	−1.70430	−	0.281726i
$806$	15.2420			0.536875
$807$	−6.36435	+	18.3886i	−0.224036	+	0.647309i
$808$	−5.60434	−	10.8709i	−0.197160	−	0.382437i
$809$	−1.34657	−	1.05895i	−0.0473427	−	0.0372307i	0.594207	−	0.804312i	$-0.297466\pi$
$809$	−1.34657	−	1.05895i	−0.0473427	−	0.0372307i	−0.641550	+	0.767081i	$0.721708\pi$
$810$	−3.84516	+	0.367168i	−0.135105	+	0.0129010i
$811$	−13.9672	+	2.00818i	−0.490455	+	0.0705168i	−0.383106	−	0.923705i	$-0.625145\pi$
$811$	−13.9672	+	2.00818i	−0.490455	+	0.0705168i	−0.107349	+	0.994221i	$0.534236\pi$
$812$	3.52070	−	2.27573i	0.123552	−	0.0798623i
$813$	22.5027	−	14.4616i	0.789203	−	0.507190i
$814$	−1.74574	+	2.45155i	−0.0611882	+	0.0859268i
$815$	0.0782347	−	0.322488i	0.00274044	−	0.0112963i
$816$	−2.22987	+	0.771765i	−0.0780610	+	0.0270172i
$817$	−2.70626	+	14.0414i	−0.0946799	+	0.491246i
$818$	−6.58534	−	22.4276i	−0.230251	−	0.784163i
$819$	2.72282	+	2.84061i	0.0951429	+	0.0992588i
$820$	−2.35862	−	3.67008i	−0.0823665	−	0.128165i
$821$	−8.88579	−	36.6277i	−0.310116	−	1.27832i	−0.887106	−	0.461566i	$-0.847288\pi$
$821$	−8.88579	−	36.6277i	−0.310116	−	1.27832i	0.576990	−	0.816751i	$-0.304227\pi$
$822$	−9.20442	−	3.68490i	−0.321041	−	0.128525i
$823$	13.2725	+	18.6386i	0.462650	+	0.649701i	0.978323	−	0.207084i	$-0.0663974\pi$
$823$	13.2725	+	18.6386i	0.462650	+	0.649701i	−0.515673	+	0.856786i	$0.672458\pi$
$824$	−15.1673	+	6.07206i	−0.528377	+	0.211530i
$825$	12.3764	+	7.95381i	0.430890	+	0.276916i
$826$	4.34753	−	2.52532i	0.151270	−	0.0878672i
$827$			47.3499i			1.64652i	0.567666	+	0.823259i	$0.307847\pi$
$827$			47.3499i			1.64652i	−0.567666	+	0.823259i	$0.692153\pi$
$828$	−4.20886	+	2.29902i	−0.146268	+	0.0798964i
$829$	15.2223	+	8.78861i	0.528693	+	0.305241i	0.740484	−	0.672074i	$-0.234596\pi$
$829$	15.2223	+	8.78861i	0.528693	+	0.305241i	−0.211791	+	0.977315i	$0.567930\pi$
$830$	−22.6404	+	4.36357i	−0.785858	+	0.151462i
$831$	−9.79820	−	0.466746i	−0.339896	−	0.0161912i
$832$	−1.47208	−	0.211654i	−0.0510353	−	0.00733777i
$833$	3.97856	+	16.0312i	0.137849	+	0.555449i
$834$	2.47651	+	17.2245i	0.0857546	+	0.596437i
$835$	−87.7587	+	21.2900i	−3.03701	+	0.736772i
$836$	2.62361	−	0.124978i	0.0907394	−	0.00432245i
$837$	10.2022	+	0.974194i	0.352640	+	0.0336731i
$838$	4.56165	+	4.34952i	0.157580	+	0.150252i
$839$	24.3216	−	28.0686i	0.839674	−	0.969035i	−0.160163	−	0.987091i	$-0.551202\pi$
$839$	24.3216	−	28.0686i	0.839674	−	0.969035i	0.999837	+	0.0180553i	$0.00574751\pi$
$840$	−6.33846	−	8.01652i	−0.218698	−	0.276596i
$841$	25.4164	−	7.46292i	0.876427	−	0.257342i
$842$	4.25079	+	3.02697i	0.146492	+	0.104316i
$843$	−1.00351	−	21.0662i	−0.0345626	−	0.725559i
$844$	−3.82790	+	3.64990i	−0.131762	+	0.125635i
$845$	32.7556	−	25.7593i	1.12683	−	0.886146i
$846$	−4.29395	−	1.96098i	−0.147629	−	0.0674200i
$847$	−22.8518	+	4.46671i	−0.785197	+	0.153478i
$848$	−1.54838	+	2.40932i	−0.0531714	+	0.0827364i
$849$	29.5127	+	10.2145i	1.01287	+	0.350559i
$850$	11.7040	−	20.2718i	0.401442	−	0.695319i
$851$	8.94723	+	3.82986i	0.306707	+	0.131286i
$852$	−12.2096	+	7.04920i	−0.418293	+	0.241501i
$853$	−32.4169	+	28.0894i	−1.10993	+	0.961764i	−0.999484	−	0.0321175i	$-0.989775\pi$
$853$	−32.4169	+	28.0894i	−1.10993	+	0.961764i	−0.110451	+	0.993882i	$0.535229\pi$
$854$	3.20720	−	0.950890i	0.109748	−	0.0325388i
$855$	0.973591	−	6.77148i	0.0332961	−	0.231580i
$856$	−1.00469	−	10.5216i	−0.0343396	−	0.359620i
$857$	−4.50344	+	11.2491i	−0.153835	+	0.384261i	−0.985187	−	0.171486i	$-0.945143\pi$
$857$	−4.50344	+	11.2491i	−0.153835	+	0.384261i	0.831352	+	0.555746i	$0.187567\pi$
$858$	−1.52204	−	1.59626i	−0.0519614	−	0.0544956i
$859$	−18.9982	+	36.8514i	−0.648212	+	1.25735i	0.304220	+	0.952602i	$0.401604\pi$
$859$	−18.9982	+	36.8514i	−0.648212	+	1.25735i	−0.952431	+	0.304753i	$0.901426\pi$
$860$	−28.3688	+	12.9556i	−0.967367	+	0.441782i
$861$	−1.23419	+	2.72143i	−0.0420612	+	0.0927462i
$862$	18.9600	+	16.4289i	0.645779	+	0.559571i
$863$	−48.7617	−	9.39805i	−1.65987	−	0.319913i	−0.728791	−	0.684736i	$-0.759917\pi$
$863$	−48.7617	−	9.39805i	−1.65987	−	0.319913i	−0.931077	+	0.364823i	$0.881130\pi$
$864$	−0.971812	−	0.235759i	−0.0330617	−	0.00802068i
$865$	8.88705	−	93.0694i	0.302169	−	3.16446i
$866$	−18.8909	−	9.73891i	−0.641937	−	0.330942i
$867$	3.22078	−	10.9690i	0.109384	−	0.372526i
$868$	12.4883	+	24.0683i	0.423881	+	0.816931i
$869$	7.58820	−	16.6158i	0.257412	−	0.563653i
$870$	2.27470	+	5.68192i	0.0771195	+	0.192635i
$871$	0.0466801	−	0.0240653i	0.00158169	−	0.000815420i
$872$	0.238685	+	1.23841i	0.00808289	+	0.0419380i
$873$	7.48946	+	12.9721i	0.253480	+	0.439040i
$874$	−2.19958	−	8.20411i	−0.0744019	−	0.277508i
$875$	49.3976	+	9.38590i	1.66994	+	0.317301i
$876$	3.97716	+	4.58988i	0.134376	+	0.155078i
$877$	2.16402	−	45.4283i	0.0730737	−	1.53401i	−0.603340	−	0.797484i	$-0.706164\pi$
$877$	2.16402	−	45.4283i	0.0730737	−	1.53401i	0.676414	−	0.736522i	$-0.263533\pi$
$878$	2.57311	−	3.27198i	0.0868383	−	0.110424i
$879$	6.16071	−	4.38702i	0.207795	−	0.147970i
$880$	3.54109	+	4.50286i	0.119370	+	0.151791i
$881$	0.129956	+	0.0381587i	0.00437834	+	0.00128560i	0.283921	−	0.958848i	$-0.408365\pi$
$881$	0.129956	+	0.0381587i	0.00437834	+	0.00128560i	−0.279543	+	0.960133i	$0.590183\pi$
$882$	−2.25464	+	6.62696i	−0.0759176	+	0.223141i
$883$	−1.16479	−	2.55054i	−0.0391983	−	0.0858324i	0.889020	−	0.457869i	$-0.151387\pi$
$883$	−1.16479	−	2.55054i	−0.0391983	−	0.0858324i	−0.928218	+	0.372036i	$0.878660\pi$
$884$	−2.42171	+	2.53981i	−0.0814508	+	0.0854231i
$885$	2.40076	+	6.93654i	0.0807006	+	0.233169i
$886$	0.379412	+	1.09624i	0.0127466	+	0.0368289i
$887$	38.1564	−	40.0173i	1.28117	−	1.34365i	0.371429	−	0.928461i	$-0.378868\pi$
$887$	38.1564	−	40.0173i	1.28117	−	1.34365i	0.909736	−	0.415187i	$-0.136284\pi$
$888$	0.843026	+	1.84597i	0.0282901	+	0.0619466i
$889$	8.10319	−	3.26879i	0.271772	−	0.109632i
$890$	−59.7261	−	17.5372i	−2.00202	−	0.587847i
$891$	−0.916750	−	1.16574i	−0.0307123	−	0.0390538i
$892$	17.2835	−	12.3075i	0.578695	−	0.412087i
$893$	5.16812	−	6.57180i	0.172945	−	0.219917i
$894$	0.0843417	−	1.77055i	0.00282081	−	0.0592160i
$895$	−13.7936	−	15.9186i	−0.461068	−	0.532101i
$896$	−0.871915	−	2.49795i	−0.0291286	−	0.0834507i
$897$	−3.99693	+	5.90733i	−0.133453	+	0.197240i
$898$	−1.54597	−	2.67770i	−0.0515897	−	0.0893560i
$899$	−3.07322	−	15.9454i	−0.102498	−	0.531808i
$900$	8.81733	−	4.54565i	0.293911	−	0.151522i
$901$	2.51167	+	6.27386i	0.0836760	+	0.209013i
$902$	0.695818	−	1.52363i	0.0231682	−	0.0507313i
$903$	18.0010	+	11.5018i	0.599037	+	0.382754i
$904$	−0.276553	+	0.941852i	−0.00919801	+	0.0313255i
$905$	78.9987	+	40.7267i	2.62601	+	1.35380i
$906$	−1.44900	+	15.1746i	−0.0481397	+	0.504142i
$907$	−24.0016	−	5.82272i	−0.796960	−	0.193340i	−0.183452	−	0.983029i	$-0.558727\pi$
$907$	−24.0016	−	5.82272i	−0.796960	−	0.193340i	−0.613508	+	0.789688i	$0.710242\pi$
$908$	24.1892	+	4.66209i	0.802747	+	0.154717i
$909$	−9.24319	−	8.00927i	−0.306577	−	0.265651i
$910$	−13.8419	−	6.27743i	−0.458855	−	0.208095i
$911$	−15.5122	+	7.08417i	−0.513941	+	0.234709i	−0.655465	−	0.755226i	$-0.727527\pi$
$911$	−15.5122	+	7.08417i	−0.513941	+	0.234709i	0.141524	+	0.989935i	$0.454800\pi$
$912$	0.811561	−	1.57421i	0.0268735	−	0.0521272i
$913$	−6.10896	−	6.40689i	−0.202177	−	0.212037i
$914$	9.42086	−	23.5322i	0.311614	−	0.778375i
$915$	0.464234	+	4.86168i	0.0153471	+	0.160722i
$916$	−1.01264	+	7.04305i	−0.0334585	+	0.232709i
$917$	−35.5284	−	8.52020i	−1.17325	−	0.281362i
$918$	−1.78330	+	1.54524i	−0.0588578	+	0.0510005i
$919$	17.1717	−	9.91406i	0.566441	−	0.327035i	−0.189286	−	0.981922i	$-0.560617\pi$
$919$	17.1717	−	9.91406i	0.566441	−	0.327035i	0.755727	+	0.654887i	$0.227284\pi$
$920$	11.7923	−	14.2864i	0.388782	−	0.471010i
$921$	9.91925	−	17.1806i	0.326850	−	0.566121i
$922$	−0.0714803	−	0.0247396i	−0.00235408	−	0.000814755i
$923$	−11.3358	+	17.6389i	−0.373124	+	0.580592i
$924$	1.27357	−	3.71130i	0.0418973	−	0.122093i
$925$	−18.3122	−	8.36289i	−0.602100	−	0.274970i
$926$	−26.1651	+	20.5764i	−0.859837	+	0.676183i
$927$	−11.8241	+	11.2742i	−0.388353	+	0.370294i
$928$	0.0753930	+	1.58269i	0.00247490	+	0.0519545i
$929$	−5.01778	−	3.57314i	−0.164628	−	0.117231i	0.494774	−	0.869022i	$-0.335251\pi$
$929$	−5.01778	−	3.57314i	−0.164628	−	0.117231i	−0.659402	+	0.751791i	$0.729190\pi$
$930$	−37.9833	+	11.1529i	−1.24552	+	0.365718i
$931$	−10.4647	−	6.64770i	−0.342966	−	0.217869i
$932$	17.8964	−	20.6535i	0.586216	−	0.676529i
$933$	14.6247	+	13.9447i	0.478792	+	0.456528i
$934$	26.0986	+	2.49212i	0.853973	+	0.0815446i
$935$	13.5018	−	0.643170i	0.441556	−	0.0210339i
$936$	−1.44530	+	0.350625i	−0.0472410	+	0.0114606i
$937$	2.24942	+	15.6451i	0.0734855	+	0.511103i	0.993006	+	0.118061i	$0.0376680\pi$
$937$	2.24942	+	15.6451i	0.0734855	+	0.511103i	−0.919521	+	0.393041i	$0.871423\pi$
$938$	0.0762478	+	0.0539940i	0.00248958	+	0.00176297i
$939$	3.53506	+	0.508265i	0.115362	+	0.0165866i
$940$	18.2132	+	0.867600i	0.594048	+	0.0282980i
$941$	−33.7821	+	6.51096i	−1.10126	+	0.212251i	−0.707327	−	0.706886i	$-0.750099\pi$
$941$	−33.7821	+	6.51096i	−1.10126	+	0.212251i	−0.393937	+	0.919138i	$0.628887\pi$
$942$	−6.99728	−	4.03988i	−0.227984	−	0.131626i
$943$	−5.29298	−	1.15060i	−0.172363	−	0.0374687i
$944$			1.90031i			0.0618499i
$945$	−8.86386	−	5.08651i	−0.288341	−	0.165464i
$946$	−10.0732	−	6.47364i	−0.327507	−	0.210476i
$947$	26.9691	−	10.7968i	0.876379	−	0.350849i	0.110532	−	0.993873i	$-0.464744\pi$
$947$	26.9691	−	10.7968i	0.876379	−	0.350849i	0.765846	+	0.643023i	$0.222320\pi$
$948$	−7.14457	−	10.0331i	−0.232045	−	0.325862i
$949$	8.38531	+	3.35697i	0.272199	+	0.108972i
$950$	4.14214	+	17.0741i	0.134389	+	0.553958i
$951$	−5.20982	−	8.10663i	−0.168940	−	0.262876i
$952$	−5.99476	−	1.74310i	−0.194291	−	0.0564943i
$953$	−14.1102	−	48.0549i	−0.457074	−	1.55665i	−0.789639	−	0.613571i	$-0.789732\pi$
$953$	−14.1102	−	48.0549i	−0.457074	−	1.55665i	0.332565	−	0.943080i	$-0.392086\pi$
$954$	−0.542009	+	2.81221i	−0.0175482	+	0.0910486i
$955$	−72.0941	+	24.9520i	−2.33291	+	0.807428i
$956$	−1.26315	+	5.20676i	−0.0408531	+	0.168399i
$957$	−1.36305	+	1.91413i	−0.0440610	+	0.0618751i
$958$	24.0138	−	15.4327i	0.775850	−	0.498609i
$959$	−14.2399	−	22.0301i	−0.459830	−	0.711388i
$960$	3.82334	−	0.549713i	0.123398	−	0.0177419i
$961$	73.6991	−	7.03741i	2.37739	−	0.227013i
$962$	2.37239	+	1.86567i	0.0764889	+	0.0601515i
$963$	−4.84320	−	9.39450i	−0.156070	−	0.302733i
$964$	−2.06886	+	5.97758i	−0.0666335	+	0.192525i
$965$	−18.2796			−0.588440
$966$	−12.6030	−	1.47137i	−0.405494	−	0.0473405i
$967$	58.3036			1.87492			0.937459	−	0.348095i	$-0.113171\pi$
$967$	58.3036			1.87492			0.937459	+	0.348095i	$0.113171\pi$
$968$	2.87840	−	8.31659i	0.0925153	−	0.267305i
$969$	−1.91500	−	3.71458i	−0.0615186	−	0.119329i
$970$	−45.4798	−	35.7657i	−1.46027	−	1.14837i
$971$	51.1402	−	4.88330i	1.64117	−	0.156712i	0.766769	−	0.641923i	$-0.221863\pi$
$971$	51.1402	−	4.88330i	1.64117	−	0.156712i	0.874397	+	0.485211i	$0.161257\pi$
$972$	−0.989821	+	0.142315i	−0.0317485	+	0.00456475i
$973$	−20.9892	+	40.9777i	−0.672883	+	1.31369i
$974$	24.2228	−	15.5670i	0.776148	−	0.498800i
$975$	8.55779	−	12.0177i	0.274069	−	0.384875i
$976$	−0.298085	+	1.22872i	−0.00954147	+	0.0393305i
$977$	16.3339	−	5.65322i	0.522568	−	0.180863i	−0.0530336	−	0.998593i	$-0.516889\pi$
$977$	16.3339	−	5.65322i	0.522568	−	0.180863i	0.575602	+	0.817730i	$0.304768\pi$
$978$	0.0162587	−	0.0843579i	0.000519894	−	0.00269747i
$979$	−6.73324	−	22.9313i	−0.215195	−	0.732888i
$980$	−1.42864	−	27.0008i	−0.0456361	−	0.862509i
$981$	0.681859	+	1.06099i	0.0217701	+	0.0338749i
$982$	−5.73489	−	23.6395i	−0.183008	−	0.754368i
$983$	38.8720	+	15.5620i	1.23983	+	0.496351i	0.896575	−	0.442893i	$-0.146048\pi$
$983$	38.8720	+	15.5620i	1.23983	+	0.496351i	0.343251	+	0.939244i	$0.388472\pi$
$984$	−0.655139	−	0.920014i	−0.0208851	−	0.0293290i
$985$	−20.7202	+	8.29512i	−0.660200	+	0.264304i
$986$	3.14531	+	2.02137i	0.100167	+	0.0643735i
$987$	−6.27312	−	10.7997i	−0.199676	−	0.343757i
$988$		−	2.63400i		−	0.0837988i
$989$	−13.5265	+	36.2822i	−0.430116	+	1.15371i
$990$	4.96097	+	2.86422i	0.157670	+	0.0910309i
$991$	15.8865	−	3.06187i	0.504651	−	0.0972634i	0.0694292	−	0.997587i	$-0.477882\pi$
$991$	15.8865	−	3.06187i	0.504651	−	0.0972634i	0.435221	+	0.900323i	$0.356670\pi$
$992$	−10.2370	−	0.487649i	−0.325026	−	0.0154829i
$993$	−0.871298	−	0.125274i	−0.0276498	−	0.00397544i
$994$	−37.1411	−	3.44797i	−1.17805	−	0.109363i
$995$	10.5258	+	73.2083i	0.333689	+	2.32086i
$996$	−5.80096	+	1.40730i	−0.183810	+	0.0445919i
$997$	18.6416	−	0.888009i	0.590385	−	0.0281235i	0.249736	−	0.968314i	$-0.419656\pi$
$997$	18.6416	−	0.888009i	0.590385	−	0.0281235i	0.340649	+	0.940190i	$0.389353\pi$
$998$	−8.28745	−	0.791355i	−0.262335	−	0.0250499i
$999$	1.46872	+	1.40042i	0.0464681	+	0.0443072i

Twists

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

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

\(f(q)\)	\(=\)	\(q+(0.327068 - 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(3.84516 - 0.367168i) q^{5} +(0.989821 - 0.142315i) q^{6} +(2.35482 + 1.20616i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\)	\(q+(0.327068 - 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(3.84516 - 0.367168i) q^{5} +(0.989821 - 0.142315i) q^{6} +(2.35482 + 1.20616i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.910655 - 3.75377i) q^{10} +(1.40147 - 0.485052i) q^{11} +(0.189251 - 0.981929i) q^{12} +(-0.418998 - 1.42698i) q^{13} +(1.91001 - 1.83081i) q^{14} +(2.08831 + 3.24947i) q^{15} +(0.235759 + 0.971812i) q^{16} +(2.19062 + 0.876993i) q^{17} +(0.580057 + 0.814576i) q^{18} +(-1.64422 + 0.658248i) q^{19} +(-3.24947 - 2.08831i) q^{20} +(0.00696054 + 2.64574i) q^{21} -1.48303i q^{22} +(-4.68608 + 1.02012i) q^{23} +(-0.866025 - 0.500000i) q^{24} +(9.74082 - 1.87739i) q^{25} +(-1.48554 - 0.0707648i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(-1.10541 - 2.40376i) q^{28} +(0.225496 + 1.56836i) q^{29} +(3.75377 - 0.910655i) q^{30} +(-10.2370 + 0.487649i) q^{31} +(0.995472 + 0.0950560i) q^{32} +(1.07332 + 1.02341i) q^{33} +(1.54524 - 1.78330i) q^{34} +(9.49753 + 3.77328i) q^{35} +(0.959493 - 0.281733i) q^{36} +(-1.65307 - 1.17714i) q^{37} +(0.0842719 + 1.76908i) q^{38} +(1.07635 - 1.02630i) q^{39} +(-3.03625 + 2.38773i) q^{40} +(1.02737 + 0.469186i) q^{41} +(2.50251 + 0.858760i) q^{42} +(4.36514 - 6.79229i) q^{43} +(-1.40147 - 0.485052i) q^{44} +(-1.93133 + 3.34516i) q^{45} +(-0.568655 + 4.76200i) q^{46} +(-4.08811 + 2.36027i) q^{47} +(-0.755750 + 0.654861i) q^{48} +(4.09034 + 5.68059i) q^{49} +(1.41178 - 9.81912i) q^{50} +(0.224299 + 2.34896i) q^{51} +(-0.552744 + 1.38069i) q^{52} +(1.97636 + 2.07275i) q^{53} +(-0.458227 + 0.888835i) q^{54} +(5.21077 - 2.37968i) q^{55} +(-2.63310 + 0.258423i) q^{56} +(-1.33850 - 1.15982i) q^{57} +(1.55586 + 0.299867i) q^{58} +(1.84674 + 0.448015i) q^{59} +(0.367168 - 3.84516i) q^{60} +(1.12381 + 0.579365i) q^{61} +(-2.88737 + 9.83348i) q^{62} +(-2.34844 + 1.21854i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-2.13506 - 5.33312i) q^{65} +(1.31817 - 0.679565i) q^{66} +(0.00668304 + 0.0346749i) q^{67} +(-1.17982 - 2.04352i) q^{68} +(-3.05400 - 3.69771i) q^{69} +(6.67208 - 7.74105i) q^{70} +(-9.23248 - 10.6549i) q^{71} +(0.0475819 - 0.998867i) q^{72} +(-3.75426 + 4.77392i) q^{73} +(-1.65307 + 1.17714i) q^{74} +(6.13219 + 7.79772i) q^{75} +(1.69935 + 0.498974i) q^{76} +(3.88525 + 0.548186i) q^{77} +(-0.617814 - 1.35282i) q^{78} +(8.49972 - 8.91425i) q^{79} +(1.26335 + 3.65021i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(0.779402 - 0.817414i) q^{82} +(-2.47970 - 5.42980i) q^{83} +(1.63002 - 2.08400i) q^{84} +(8.74530 + 2.56785i) q^{85} +(-4.99102 - 6.34660i) q^{86} +(-1.29069 + 0.919094i) q^{87} +(-0.916750 + 1.16574i) q^{88} +(0.766794 - 16.0970i) q^{89} +(2.52950 + 2.91920i) q^{90} +(0.734501 - 3.86565i) q^{91} +(4.31410 + 2.09488i) q^{92} +(-5.12431 - 8.87557i) q^{93} +(0.893368 + 4.63523i) q^{94} +(-6.08062 + 3.13478i) q^{95} +(0.371662 + 0.928368i) q^{96} +(6.22247 - 13.6253i) q^{97} +(6.70598 - 2.00744i) q^{98} +(-0.417819 + 1.42296i) 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	\( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) \) 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 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

Introduction

L-functions

Modular forms

Varieties

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