LMFDB - Embedded newform 966.2.t.a.41.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(41,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([11, 11, 12]))

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

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

chi := DirichletCharacter("966.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$64$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			41.9
Character	$\chi$	$=$	966.41
Dual form			966.2.t.a.377.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.281733 + 0.959493i) q^{2} +(-1.13682 + 1.30677i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.133168 - 0.926206i) q^{5} +(-0.933559 - 1.45893i) q^{6} +(1.08253 + 2.41415i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-0.415299 - 2.97112i) q^{9} +O(q^{10})$	\(q+(-0.281733 + 0.959493i) q^{2} +(-1.13682 + 1.30677i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.133168 - 0.926206i) q^{5} +(-0.933559 - 1.45893i) q^{6} +(1.08253 + 2.41415i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-0.415299 - 2.97112i) q^{9} +(0.851170 + 0.388716i) q^{10} +(-1.25312 - 4.26775i) q^{11} +(1.66284 - 0.484716i) q^{12} +(6.19147 + 2.82755i) q^{13} +(-2.62135 + 0.358533i) q^{14} +(1.05895 + 1.22695i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-4.30557 + 2.76702i) q^{17} +(2.96777 + 0.438583i) q^{18} +(-3.33194 + 5.18459i) q^{19} +(-0.612773 + 0.707178i) q^{20} +(-4.38538 - 1.32983i) q^{21} +4.44792 q^{22} +(4.73239 - 0.777513i) q^{23} +(-0.00339534 + 1.73205i) q^{24} +(3.95734 + 1.16198i) q^{25} +(-4.45735 + 5.14406i) q^{26} +(4.35469 + 2.83491i) q^{27} +(0.394509 - 2.61617i) q^{28} +(3.15710 + 4.91254i) q^{29} +(-1.47559 + 0.670385i) q^{30} +(2.57142 - 2.22815i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(7.00153 + 3.21410i) q^{33} +(-1.44192 - 4.91073i) q^{34} +(2.38016 - 0.681155i) q^{35} +(-1.25693 + 2.72399i) q^{36} +(-1.12570 - 7.82939i) q^{37} +(-4.03587 - 4.65764i) q^{38} +(-10.7335 + 4.87643i) q^{39} +(-0.505894 - 0.787186i) q^{40} +(-0.956636 + 6.65355i) q^{41} +(2.51147 - 3.83308i) q^{42} +(-8.16230 + 9.41980i) q^{43} +(-1.25312 + 4.26775i) q^{44} +(-2.80717 - 0.0110058i) q^{45} +(-0.587249 + 4.75974i) q^{46} -9.66624 q^{47} +(-1.66093 - 0.491232i) q^{48} +(-4.65627 + 5.22678i) q^{49} +(-2.22982 + 3.46967i) q^{50} +(1.27878 - 8.77199i) q^{51} +(-3.67991 - 5.72604i) q^{52} +(6.99961 - 3.19662i) q^{53} +(-3.94693 + 3.37960i) q^{54} +(-4.11969 + 0.592322i) q^{55} +(2.39905 + 1.11559i) q^{56} +(-2.98728 - 10.2480i) q^{57} +(-5.60301 + 1.64519i) q^{58} +(-3.39026 + 7.42364i) q^{59} +(-0.227509 - 1.60468i) q^{60} +(-3.12051 + 2.70394i) q^{61} +(1.41344 + 3.09500i) q^{62} +(6.72315 - 4.21891i) q^{63} +(0.142315 - 0.989821i) q^{64} +(3.44340 - 5.35803i) q^{65} +(-5.05646 + 5.81241i) q^{66} +(-0.747754 - 0.219560i) q^{67} +5.11804 q^{68} +(-4.36382 + 7.06803i) q^{69} +(-0.0170050 + 2.47565i) q^{70} +(-1.28924 + 4.39075i) q^{71} +(-2.25953 - 1.97346i) q^{72} +(4.07954 - 6.34789i) q^{73} +(7.82939 + 1.12570i) q^{74} +(-6.01721 + 3.85038i) q^{75} +(5.60600 - 2.56018i) q^{76} +(8.94645 - 7.64518i) q^{77} +(-1.65492 - 11.6726i) q^{78} +(-0.0980001 + 0.214590i) q^{79} +(0.897827 - 0.263626i) q^{80} +(-8.65505 + 2.46780i) q^{81} +(-6.11452 - 2.79241i) q^{82} +(-0.297596 - 2.06983i) q^{83} +(2.97025 + 3.48964i) q^{84} +(1.98947 + 4.35633i) q^{85} +(-6.73864 - 10.4855i) q^{86} +(-10.0086 - 1.45905i) q^{87} +(-3.74183 - 2.40473i) q^{88} +(3.50599 - 4.04613i) q^{89} +(0.801431 - 2.69036i) q^{90} +(-0.123696 + 18.0080i) q^{91} +(-4.40149 - 1.90444i) q^{92} +(-0.0115525 + 5.89325i) q^{93} +(2.72329 - 9.27469i) q^{94} +(4.35829 + 3.77648i) q^{95} +(0.939272 - 1.45526i) q^{96} +(5.78312 + 0.831487i) q^{97} +(-3.70323 - 5.94021i) q^{98} +(-12.1595 + 5.49556i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q + 64 q^{4} + 8 q^{9}+O(q^{10}) $ 640 * q + 64 * q^4 + 8 * q^9	$ 640 q + 64 q^{4} + 8 q^{9} + 8 q^{15} - 64 q^{16} + 20 q^{18} + 54 q^{21} - 8 q^{22} - 56 q^{25} - 44 q^{30} - 8 q^{36} + 20 q^{37} - 16 q^{39} - 4 q^{42} - 28 q^{43} + 24 q^{46} - 68 q^{49} - 40 q^{51} + 32 q^{57} - 80 q^{58} - 8 q^{60} + 86 q^{63} + 64 q^{64} + 24 q^{67} + 72 q^{70} - 64 q^{72} - 8 q^{78} - 144 q^{79} + 20 q^{81} + 34 q^{84} + 32 q^{85} + 8 q^{88} - 40 q^{91} + 16 q^{93} + 68 q^{99}+O(q^{100}) $ 640 * q + 64 * q^4 + 8 * q^9 + 8 * q^15 - 64 * q^16 + 20 * q^18 + 54 * q^21 - 8 * q^22 - 56 * q^25 - 44 * q^30 - 8 * q^36 + 20 * q^37 - 16 * q^39 - 4 * q^42 - 28 * q^43 + 24 * q^46 - 68 * q^49 - 40 * q^51 + 32 * q^57 - 80 * q^58 - 8 * q^60 + 86 * q^63 + 64 * q^64 + 24 * q^67 + 72 * q^70 - 64 * q^72 - 8 * q^78 - 144 * q^79 + 20 * q^81 + 34 * q^84 + 32 * q^85 + 8 * q^88 - 40 * q^91 + 16 * q^93 + 68 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{6}{11}\right)$

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 $

$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$3$	−1.13682	+	1.30677i	−0.656341	+	0.754464i
$3$	−1.13682	+	1.30677i	−0.656341	+	0.754464i
$4$	−0.841254	−	0.540641i	−0.420627	−	0.270320i
$5$	0.133168	−	0.926206i	0.0595547	−	0.414212i	−0.938135	−	0.346271i	$-0.887448\pi$
$5$	0.133168	−	0.926206i	0.0595547	−	0.414212i	0.997689	−	0.0679412i	$-0.0216430\pi$
$6$	−0.933559	−	1.45893i	−0.381124	−	0.595604i
$7$	1.08253	+	2.41415i	0.409157	+	0.912464i
$7$	1.08253	+	2.41415i	0.409157	+	0.912464i
$8$	0.755750	−	0.654861i	0.267198	−	0.231528i
$9$	−0.415299	−	2.97112i	−0.138433	−	0.990372i
$10$	0.851170	+	0.388716i	0.269164	+	0.122923i
$11$	−1.25312	−	4.26775i	−0.377831	−	1.28677i	−0.900730	−	0.434379i	$-0.856968\pi$
$11$	−1.25312	−	4.26775i	−0.377831	−	1.28677i	0.522899	−	0.852394i	$-0.324850\pi$
$12$	1.66284	−	0.484716i	0.480022	−	0.139926i
$13$	6.19147	+	2.82755i	1.71720	+	0.784221i	0.995785	+	0.0917220i	$0.0292371\pi$
$13$	6.19147	+	2.82755i	1.71720	+	0.784221i	0.721419	+	0.692499i	$0.243490\pi$
$14$	−2.62135	+	0.358533i	−0.700584	+	0.0958219i
$15$	1.05895	+	1.22695i	0.273420	+	0.316796i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	−4.30557	+	2.76702i	−1.04425	+	0.671102i	−0.946036	−	0.324063i	$-0.894951\pi$
$17$	−4.30557	+	2.76702i	−1.04425	+	0.671102i	−0.0982193	+	0.995165i	$0.531315\pi$
$18$	2.96777	+	0.438583i	0.699510	+	0.103375i
$19$	−3.33194	+	5.18459i	−0.764398	+	1.18943i	0.212799	+	0.977096i	$0.431742\pi$
$19$	−3.33194	+	5.18459i	−0.764398	+	1.18943i	−0.977198	+	0.212331i	$0.931894\pi$
$20$	−0.612773	+	0.707178i	−0.137020	+	0.158130i
$21$	−4.38538	−	1.32983i	−0.956968	−	0.290193i
$22$	4.44792			0.948299
$23$	4.73239	−	0.777513i	0.986771	−	0.162123i
$23$	4.73239	−	0.777513i	0.986771	−	0.162123i
$24$	−0.00339534	+	1.73205i	−0.000693070	+	0.353553i
$25$	3.95734	+	1.16198i	0.791468	+	0.232396i
$26$	−4.45735	+	5.14406i	−0.874158	+	1.00883i
$27$	4.35469	+	2.83491i	0.838060	+	0.545579i
$28$	0.394509	−	2.61617i	0.0745552	−	0.494410i
$29$	3.15710	+	4.91254i	0.586259	+	0.912236i	0.999998	+	0.00184115i	$0.000586057\pi$
$29$	3.15710	+	4.91254i	0.586259	+	0.912236i	−0.413740	+	0.910395i	$0.635778\pi$
$30$	−1.47559	+	0.670385i	−0.269404	+	0.122395i
$31$	2.57142	−	2.22815i	0.461840	−	0.400187i	−0.392622	−	0.919700i	$-0.628432\pi$
$31$	2.57142	−	2.22815i	0.461840	−	0.400187i	0.854463	+	0.519513i	$0.173887\pi$
$32$	−0.989821	+	0.142315i	−0.174977	+	0.0251579i
$33$	7.00153	+	3.21410i	1.21881	+	0.559502i
$34$	−1.44192	−	4.91073i	−0.247287	−	0.842183i
$35$	2.38016	−	0.681155i	0.402321	−	0.115136i
$36$	−1.25693	+	2.72399i	−0.209489	+	0.453998i
$37$	−1.12570	−	7.82939i	−0.185063	−	1.28714i	−0.844570	−	0.535445i	$-0.820144\pi$
$37$	−1.12570	−	7.82939i	−0.185063	−	1.28714i	0.659507	−	0.751699i	$-0.270765\pi$
$38$	−4.03587	−	4.65764i	−0.654704	−	0.755569i
$39$	−10.7335	+	4.87643i	−1.71874	+	0.780853i
$40$	−0.505894	−	0.787186i	−0.0799889	−	0.124465i
$41$	−0.956636	+	6.65355i	−0.149401	+	1.03911i	0.767801	+	0.640688i	$0.221351\pi$
$41$	−0.956636	+	6.65355i	−0.149401	+	1.03911i	−0.917202	+	0.398421i	$0.869558\pi$
$42$	2.51147	−	3.83308i	0.387528	−	0.591458i
$43$	−8.16230	+	9.41980i	−1.24474	+	1.43651i	−0.387273	+	0.921965i	$0.626583\pi$
$43$	−8.16230	+	9.41980i	−1.24474	+	1.43651i	−0.857466	+	0.514540i	$0.827963\pi$
$44$	−1.25312	+	4.26775i	−0.188915	+	0.643387i
$45$	−2.80717	−	0.0110058i	−0.418468	−	0.00164065i
$46$	−0.587249	+	4.75974i	−0.0865852	+	0.701786i
$47$	−9.66624			−1.40997			−0.704983	−	0.709224i	$-0.749045\pi$
$47$	−9.66624			−1.40997			−0.704983	+	0.709224i	$0.749045\pi$
$48$	−1.66093	−	0.491232i	−0.239735	−	0.0709032i
$49$	−4.65627	+	5.22678i	−0.665181	+	0.746682i
$50$	−2.22982	+	3.46967i	−0.315345	+	0.490686i
$51$	1.27878	−	8.77199i	0.179065	−	1.22832i
$52$	−3.67991	−	5.72604i	−0.510311	−	0.794059i
$53$	6.99961	−	3.19662i	0.961471	−	0.439089i	0.128074	−	0.991765i	$-0.459120\pi$
$53$	6.99961	−	3.19662i	0.961471	−	0.439089i	0.833396	+	0.552676i	$0.186393\pi$
$54$	−3.94693	+	3.37960i	−0.537110	+	0.459906i
$55$	−4.11969	+	0.592322i	−0.555499	+	0.0798686i
$56$	2.39905	+	1.11559i	0.320587	+	0.149077i
$57$	−2.98728	−	10.2480i	−0.395674	−	1.35738i
$58$	−5.60301	+	1.64519i	−0.735711	+	0.216024i
$59$	−3.39026	+	7.42364i	−0.441374	+	0.966475i	0.549970	+	0.835185i	$0.314639\pi$
$59$	−3.39026	+	7.42364i	−0.441374	+	0.966475i	−0.991344	+	0.131290i	$0.958088\pi$
$60$	−0.227509	−	1.60468i	−0.0293713	−	0.207164i
$61$	−3.12051	+	2.70394i	−0.399540	+	0.346204i	−0.831338	−	0.555767i	$-0.812425\pi$
$61$	−3.12051	+	2.70394i	−0.399540	+	0.346204i	0.431798	+	0.901970i	$0.357879\pi$
$62$	1.41344	+	3.09500i	0.179507	+	0.393065i
$63$	6.72315	−	4.21891i	0.847038	−	0.531533i
$64$	0.142315	−	0.989821i	0.0177894	−	0.123728i
$65$	3.44340	−	5.35803i	0.427101	−	0.664582i
$66$	−5.05646	+	5.81241i	−0.622408	+	0.715458i
$67$	−0.747754	−	0.219560i	−0.0913527	−	0.0268236i	0.235737	−	0.971817i	$-0.424250\pi$
$67$	−0.747754	−	0.219560i	−0.0913527	−	0.0268236i	−0.327089	+	0.944993i	$0.606068\pi$
$68$	5.11804			0.620654
$69$	−4.36382	+	7.06803i	−0.525342	+	0.850891i
$70$	−0.0170050	+	2.47565i	−0.00203249	+	0.295897i
$71$	−1.28924	+	4.39075i	−0.153005	+	0.521086i	−0.999944	−	0.0106039i	$-0.996625\pi$
$71$	−1.28924	+	4.39075i	−0.153005	+	0.521086i	0.846939	+	0.531690i	$0.178443\pi$
$72$	−2.25953	−	1.97346i	−0.266288	−	0.232574i
$73$	4.07954	−	6.34789i	0.477474	−	0.742965i	−0.516053	−	0.856557i	$-0.672599\pi$
$73$	4.07954	−	6.34789i	0.477474	−	0.742965i	0.993527	+	0.113592i	$0.0362356\pi$
$74$	7.82939	+	1.12570i	0.910148	+	0.130860i
$75$	−6.01721	+	3.85038i	−0.694808	+	0.444604i
$76$	5.60600	−	2.56018i	0.643053	−	0.293672i
$77$	8.94645	−	7.64518i	1.01954	−	0.871250i
$78$	−1.65492	−	11.6726i	−0.187382	−	1.32166i
$79$	−0.0980001	+	0.214590i	−0.0110259	+	0.0241433i	−0.915065	−	0.403307i	$-0.867861\pi$
$79$	−0.0980001	+	0.214590i	−0.0110259	+	0.0241433i	0.904039	+	0.427450i	$0.140588\pi$
$80$	0.897827	−	0.263626i	0.100380	−	0.0294742i
$81$	−8.65505	+	2.46780i	−0.961673	+	0.274200i
$82$	−6.11452	−	2.79241i	−0.675236	−	0.308370i
$83$	−0.297596	−	2.06983i	−0.0326654	−	0.227193i	0.966949	−	0.254971i	$-0.0820659\pi$
$83$	−0.297596	−	2.06983i	−0.0326654	−	0.227193i	−0.999614	+	0.0277780i	$0.991157\pi$
$84$	2.97025	+	3.48964i	0.324081	+	0.380751i
$85$	1.98947	+	4.35633i	0.215788	+	0.472510i
$86$	−6.73864	−	10.4855i	−0.726647	−	1.13068i
$87$	−10.0086	−	1.45905i	−1.07304	−	0.156427i
$88$	−3.74183	−	2.40473i	−0.398880	−	0.256345i
$89$	3.50599	−	4.04613i	0.371635	−	0.428889i	−0.538870	−	0.842389i	$-0.681148\pi$
$89$	3.50599	−	4.04613i	0.371635	−	0.428889i	0.910504	+	0.413500i	$0.135694\pi$
$90$	0.801431	−	2.69036i	0.0844782	−	0.283589i
$91$	−0.123696	+	18.0080i	−0.0129668	+	1.88776i
$92$	−4.40149	−	1.90444i	−0.458887	−	0.198551i
$93$	−0.0115525	+	5.89325i	−0.00119794	+	0.611101i
$94$	2.72329	−	9.27469i	0.280886	−	0.956611i
$95$	4.35829	+	3.77648i	0.447151	+	0.387459i
$96$	0.939272	−	1.45526i	0.0958640	−	0.148526i
$97$	5.78312	+	0.831487i	0.587187	+	0.0844247i	0.429504	−	0.903065i	$-0.358688\pi$
$97$	5.78312	+	0.831487i	0.587187	+	0.0844247i	0.157683	+	0.987490i	$0.449598\pi$
$98$	−3.70323	−	5.94021i	−0.374083	−	0.600052i
$99$	−12.1595	+	5.49556i	−1.22208	+	0.552325i
$100$	−2.70091	−	3.11702i	−0.270091	−	0.311702i
$101$	1.45999	+	10.1544i	0.145274	+	1.01040i	0.923823	+	0.382819i	$0.125047\pi$
$101$	1.45999	+	10.1544i	0.145274	+	1.01040i	−0.778549	+	0.627584i	$0.784044\pi$
$102$	8.05639	+	3.69833i	0.797702	+	0.366190i
$103$	1.15124	+	3.92075i	0.113435	+	0.386323i	0.996566	−	0.0828031i	$-0.0263873\pi$
$103$	1.15124	+	3.92075i	0.113435	+	0.386323i	−0.883131	+	0.469126i	$0.844569\pi$
$104$	6.53085	−	1.91763i	0.640402	−	0.188039i
$105$	−1.81569	+	3.88467i	−0.177193	+	0.379105i
$106$	1.09511	+	7.61667i	0.106367	+	0.739796i
$107$	−7.38441	+	6.39863i	−0.713878	+	0.618579i	−0.934159	−	0.356858i	$-0.883848\pi$
$107$	−7.38441	+	6.39863i	−0.713878	+	0.618579i	0.220281	+	0.975437i	$0.429303\pi$
$108$	−2.13073	−	4.73920i	−0.205029	−	0.456030i
$109$	2.00708	−	1.28987i	0.192243	−	0.123547i	−0.440978	−	0.897518i	$-0.645368\pi$
$109$	2.00708	−	1.28987i	0.192243	−	0.123547i	0.633222	+	0.773970i	$0.281732\pi$
$110$	0.592322	−	4.11969i	0.0564756	−	0.392797i
$111$	11.5109	+	7.42955i	1.09257	+	0.705182i
$112$	−1.74629	+	1.98758i	−0.165009	+	0.187808i
$113$	−1.25737	+	4.28221i	−0.118283	+	0.402837i	−0.997256	−	0.0740368i	$-0.976412\pi$
$113$	−1.25737	+	4.28221i	−0.118283	+	0.402837i	0.878972	+	0.476873i	$0.158230\pi$
$114$	10.6745	+	0.0209253i	0.999759	+	0.00195983i
$115$	−0.0899330	−	4.48670i	−0.00838629	−	0.418387i
$116$		−	5.83955i		−	0.542189i
$117$	5.82966	−	19.5698i	0.538952	−	1.80923i
$118$	−6.16778	−	5.34441i	−0.567790	−	0.491993i
$119$	−11.3409	−	7.39893i	−1.03962	−	0.678259i
$120$	1.60378	+	0.233799i	0.146404	+	0.0213428i
$121$	−7.38954	+	4.74897i	−0.671777	+	0.431725i
$122$	−1.71526	−	3.75589i	−0.155292	−	0.340043i
$123$	−7.60714	−	8.81396i	−0.685913	−	0.794728i
$124$	−3.36784	+	0.484222i	−0.302441	+	0.0434845i
$125$	3.54681	−	7.76642i	0.317236	−	0.694650i
$126$	2.15389	+	7.63942i	0.191883	+	0.680574i
$127$	−3.40653	+	1.00025i	−0.302281	+	0.0887576i	−0.429356	−	0.903135i	$-0.641259\pi$
$127$	−3.40653	+	1.00025i	−0.302281	+	0.0887576i	0.127075	+	0.991893i	$0.459441\pi$
$128$	0.909632	+	0.415415i	0.0804009	+	0.0367178i
$129$	−3.03048	−	21.3748i	−0.266819	−	1.88195i
$130$	4.17088	+	4.81345i	0.365810	+	0.422167i
$131$	5.87777	+	12.8705i	0.513543	+	1.12450i	0.971827	+	0.235697i	$0.0757372\pi$
$131$	5.87777	+	12.8705i	0.513543	+	1.12450i	−0.458283	+	0.888806i	$0.651536\pi$
$132$	−4.15239	−	6.48919i	−0.361420	−	0.564811i
$133$	−16.1233	−	2.43133i	−1.39807	−	0.210823i
$134$	0.421333	−	0.655608i	0.0363977	−	0.0566359i
$135$	3.20562	−	3.65581i	0.275896	−	0.314642i
$136$	−1.44192	+	4.91073i	−0.123644	+	0.421091i
$137$			3.85483i			0.329340i	0.986349	+	0.164670i	$0.0526559\pi$
$137$			3.85483i			0.329340i	−0.986349	+	0.164670i	$0.947344\pi$
$138$	−5.55230	−	6.17835i	−0.472643	−	0.525936i
$139$			8.26719i			0.701214i	0.936523	+	0.350607i	$0.114025\pi$
$139$			8.26719i			0.701214i	−0.936523	+	0.350607i	$0.885975\pi$
$140$	−2.37058	−	0.713788i	−0.200351	−	0.0603261i
$141$	10.9887	−	12.6316i	0.925419	−	1.06377i
$142$	−3.84967	−	2.47403i	−0.323057	−	0.207616i
$143$	4.30859	−	29.9669i	0.360302	−	2.50596i
$144$	2.53010	−	1.61202i	0.210842	−	0.134335i
$145$	4.97045	−	2.26993i	0.412774	−	0.188507i
$146$	4.94142	+	5.70270i	0.408955	+	0.471959i
$147$	−1.53688	−	12.0266i	−0.126760	−	0.991933i
$148$	−3.28589	+	7.19510i	−0.270099	+	0.591434i
$149$	0.148743	+	0.506571i	0.0121855	+	0.0414999i	0.965361	−	0.260917i	$-0.0840248\pi$
$149$	0.148743	+	0.506571i	0.0121855	+	0.0414999i	−0.953176	+	0.302417i	$0.902207\pi$
$150$	−1.99917	−	6.85825i	−0.163231	−	0.559974i
$151$	5.06461	−	11.0899i	0.412152	−	0.902486i	−0.583741	−	0.811940i	$-0.698411\pi$
$151$	5.06461	−	11.0899i	0.412152	−	0.902486i	0.995892	−	0.0905462i	$-0.0288613\pi$
$152$	0.877077	+	6.10021i	0.0711404	+	0.494792i
$153$	10.0092	+	11.6432i	0.809200	+	0.941298i
$154$	4.81500	+	10.7380i	0.388003	+	0.865289i
$155$	−1.72129	−	2.67838i	−0.138257	−	0.215133i
$156$	11.6660	+	1.70067i	0.934028	+	0.136162i
$157$	−0.307423	+	0.478359i	−0.0245350	+	0.0381772i	−0.853304	−	0.521413i	$-0.825405\pi$
$157$	−0.307423	+	0.478359i	−0.0245350	+	0.0381772i	0.828769	+	0.559590i	$0.189041\pi$
$158$	−0.178288	−	0.154487i	−0.0141838	−	0.0122904i
$159$	−3.78003	+	12.7808i	−0.299776	+	1.01359i
$160$			0.935730i			0.0739760i
$161$	6.99997	+	10.5830i	0.551675	+	0.834059i
$162$	0.0705701	−	8.99972i	0.00554451	−	0.707085i
$163$	15.7148	+	4.61428i	1.23088	+	0.361418i	0.831581	−	0.555404i	$-0.187436\pi$
$163$	15.7148	+	4.61428i	1.23088	+	0.361418i	0.399296	+	0.916822i	$0.369255\pi$
$164$	4.40195	−	5.08012i	0.343735	−	0.396691i
$165$	3.90930	−	6.05685i	0.304338	−	0.471525i
$166$	2.06983	+	0.297596i	0.160650	+	0.0230979i
$167$	10.4195	−	6.69622i	0.806287	−	0.518169i	−0.0713749	−	0.997450i	$-0.522739\pi$
$167$	10.4195	−	6.69622i	0.806287	−	0.518169i	0.877662	+	0.479280i	$0.159102\pi$
$168$	−4.18510	+	1.86679i	−0.322888	+	0.144026i
$169$	21.8260	+	25.1886i	1.67893	+	1.93758i
$170$	−4.74036	+	0.681561i	−0.363569	+	0.0522734i
$171$	16.7878	+	7.74641i	1.28379	+	0.592383i
$172$	11.9593	−	3.51156i	0.911887	−	0.267754i
$173$	16.1118	−	4.73085i	1.22496	−	0.359680i	0.395613	−	0.918417i	$-0.370532\pi$
$173$	16.1118	−	4.73085i	1.22496	−	0.359680i	0.829345	+	0.558737i	$0.188714\pi$
$174$	4.21970	−	9.19213i	0.319895	−	0.696853i
$175$	1.47874	+	10.8115i	0.111782	+	0.817273i
$176$	3.36151	−	2.91277i	0.253383	−	0.219558i
$177$	−5.84689	−	12.8696i	−0.439479	−	0.967339i
$178$	2.89448	+	4.50390i	0.216951	+	0.337582i
$179$	−15.9251	−	2.28968i	−1.19030	−	0.171139i	−0.481432	−	0.876484i	$-0.659883\pi$
$179$	−15.9251	−	2.28968i	−1.19030	−	0.171139i	−0.708864	+	0.705345i	$0.750792\pi$
$180$	2.35559	+	1.52693i	0.175575	+	0.113811i
$181$	−15.3472	−	13.2984i	−1.14075	−	0.988464i	−0.140749	−	0.990045i	$-0.544951\pi$
$181$	−15.3472	−	13.2984i	−1.14075	−	0.988464i	−0.999999	+	0.00158133i	$0.999497\pi$
$182$	−17.2437	−	5.19214i	−1.27819	−	0.384867i
$183$	0.0140194	−	7.15167i	0.00103635	−	0.528667i
$184$	3.06734	−	3.68666i	0.226127	−	0.271784i
$185$	−7.40154			−0.544172
$186$	−5.65127	−	1.67140i	−0.414371	−	0.122553i
$187$	17.2044	+	14.9077i	1.25811	+	1.09016i
$188$	8.13176	+	5.22596i	0.593070	+	0.381143i
$189$	−2.12984	+	13.5817i	−0.154923	+	0.987927i
$190$	−4.85138	+	3.11779i	−0.351956	+	0.226188i
$191$	3.06192	−	1.39833i	0.221553	−	0.101180i	−0.301547	−	0.953451i	$-0.597503\pi$
$191$	3.06192	−	1.39833i	0.221553	−	0.101180i	0.523099	+	0.852272i	$0.324776\pi$
$192$	1.13168	+	1.31122i	0.0816722	+	0.0946290i
$193$	2.16395	+	15.0506i	0.155765	+	1.08337i	0.906330	+	0.422570i	$0.138872\pi$
$193$	2.16395	+	15.0506i	0.155765	+	1.08337i	−0.750566	+	0.660796i	$0.770219\pi$
$194$	−2.42710	+	5.31460i	−0.174256	+	0.381566i
$195$	3.08721	+	10.5908i	0.221080	+	0.758425i
$196$	6.74291	−	1.87968i	0.481636	−	0.134263i
$197$	16.2810	+	7.43530i	1.15998	+	0.529743i	0.900008	−	0.435874i	$-0.143561\pi$
$197$	16.2810	+	7.43530i	1.15998	+	0.529743i	0.259968	+	0.965617i	$0.416288\pi$
$198$	−1.84722	−	13.2153i	−0.131276	−	0.939169i
$199$	15.6169	−	13.5321i	1.10705	−	0.959266i	0.107661	−	0.994188i	$-0.465664\pi$
$199$	15.6169	−	13.5321i	1.10705	−	0.959266i	0.999390	+	0.0349221i	$0.0111183\pi$
$200$	3.75169	−	1.71334i	0.265285	−	0.121152i
$201$	1.13697	−	0.727543i	0.0801960	−	0.0513170i
$202$	−10.1544	−	1.45999i	−0.714463	−	0.102724i
$203$	−8.44198	+	12.9397i	−0.592511	+	0.908188i
$204$	−5.81827	+	6.68811i	−0.407361	+	0.468261i
$205$	6.03516	+	1.77208i	0.421514	+	0.123768i
$206$	−4.08627			−0.284704
$207$	−4.27544	−	13.7376i	−0.297163	−	0.954827i
$208$			6.80656i			0.471950i
$209$	26.3018	+	7.72292i	1.81934	+	0.534205i
$210$	−3.21578	−	2.83658i	−0.221910	−	0.195743i
$211$	−10.5016	−	6.74899i	−0.722962	−	0.464620i	0.126704	−	0.991941i	$-0.459560\pi$
$211$	−10.5016	−	6.74899i	−0.722962	−	0.464620i	−0.849666	+	0.527321i	$0.823197\pi$
$212$	−7.61667	−	1.09511i	−0.523115	−	0.0752126i
$213$	−4.27207	−	6.67621i	−0.292718	−	0.457447i
$214$	−4.05901	−	8.88800i	−0.277468	−	0.607571i
$215$	7.63771	+	8.81439i	0.520888	+	0.601136i
$216$	5.14752	−	0.709230i	0.350245	−	0.0482570i
$217$	8.16272	+	3.79576i	0.554121	+	0.257673i
$218$	0.672164	+	2.28918i	0.0455247	+	0.155043i
$219$	3.65755	+	12.5474i	0.247154	+	0.847876i
$220$	3.78593	+	1.72898i	0.255248	+	0.116568i
$221$	−34.4817	+	4.95772i	−2.31949	+	0.333492i
$222$	−10.3716	+	8.95151i	−0.696096	+	0.600786i
$223$	1.44271	−	0.658862i	0.0966108	−	0.0441207i	−0.366523	−	0.930409i	$-0.619452\pi$
$223$	1.44271	−	0.658862i	0.0966108	−	0.0441207i	0.463134	+	0.886288i	$0.346725\pi$
$224$	−1.41508	−	2.23552i	−0.0945490	−	0.149367i
$225$	1.80890	−	12.2403i	0.120593	−	0.816019i
$226$	−3.75451	−	2.41288i	−0.249746	−	0.160502i
$227$	−3.53827	+	4.08339i	−0.234844	+	0.271024i	−0.860923	−	0.508735i	$-0.830113\pi$
$227$	−3.53827	+	4.08339i	−0.234844	+	0.271024i	0.626079	+	0.779759i	$0.284659\pi$
$228$	−3.02743	+	10.2362i	−0.200497	+	0.677910i
$229$		−	15.9736i		−	1.05557i	−0.849379	−	0.527783i	$-0.823023\pi$
$229$		−	15.9736i		−	1.05557i	0.849379	−	0.527783i	$-0.176977\pi$
$230$	4.33030	+	1.17776i	0.285531	+	0.0776592i
$231$	−0.179961	+	20.3821i	−0.0118405	+	1.34105i
$232$	5.60301	+	1.64519i	0.367856	+	0.108012i
$233$	−1.04725	−	0.907446i	−0.0686075	−	0.0594488i	0.619882	−	0.784695i	$-0.287180\pi$
$233$	−1.04725	−	0.907446i	−0.0686075	−	0.0594488i	−0.688490	+	0.725246i	$0.741726\pi$
$234$	17.1347	+	11.1070i	1.12013	+	0.726086i
$235$	−1.28724	+	8.95293i	−0.0839701	+	0.584025i
$236$	6.86559	−	4.41225i	0.446912	−	0.287213i
$237$	−0.169012	−	0.372013i	−0.0109785	−	0.0241649i
$238$	10.2943	−	8.79702i	0.667282	−	0.570226i
$239$	28.3964	−	4.08278i	1.83681	−	0.264093i	0.865327	−	0.501208i	$-0.167111\pi$
$239$	28.3964	−	4.08278i	1.83681	−	0.264093i	0.971482	+	0.237115i	$0.0762017\pi$
$240$	−0.676165	+	1.47295i	−0.0436463	+	0.0950783i
$241$	−0.897115	−	3.05529i	−0.0577883	−	0.196809i	0.925539	−	0.378651i	$-0.123612\pi$
$241$	−0.897115	−	3.05529i	−0.0577883	−	0.196809i	−0.983328	+	0.181843i	$0.941794\pi$
$242$	−2.47473	−	8.42816i	−0.159082	−	0.541782i
$243$	6.61435	−	14.1156i	0.424311	−	0.905517i
$244$	4.08700	−	0.587622i	0.261643	−	0.0376186i
$245$	4.22100	+	5.00870i	0.269670	+	0.319994i
$246$	10.6001	−	4.81582i	0.675839	−	0.307045i
$247$	−35.2893	+	22.6790i	−2.24540	+	1.44303i
$248$	0.484222	−	3.36784i	0.0307482	−	0.213858i
$249$	3.04310	+	1.96412i	0.192849	+	0.124471i
$250$	6.45258	+	5.59119i	0.408097	+	0.353618i
$251$	5.49341	+	1.61301i	0.346741	+	0.101812i	0.450466	−	0.892794i	$-0.351258\pi$
$251$	5.49341	+	1.61301i	0.346741	+	0.101812i	−0.103725	+	0.994606i	$0.533076\pi$
$252$	−7.93679	−	0.0856366i	−0.499971	−	0.00539460i
$253$	−9.24849	−	19.2223i	−0.581447	−	1.20850i
$254$		−	3.55035i		−	0.222768i
$255$	−7.95438	−	2.35256i	−0.498123	−	0.147323i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−15.7569	−	10.1263i	−0.982889	−	0.631664i	−0.0526477	−	0.998613i	$-0.516766\pi$
$257$	−15.7569	−	10.1263i	−0.982889	−	0.631664i	−0.930241	+	0.366949i	$0.880402\pi$
$258$	21.3628	+	3.11426i	1.32999	+	0.193885i
$259$	17.6827	−	11.1931i	1.09875	−	0.695508i
$260$	−5.79354	+	2.64582i	−0.359300	+	0.164087i
$261$	13.2846	−	11.4203i	0.822296	−	0.706898i
$262$	−14.0051	+	2.01363i	−0.865240	+	0.124403i
$263$	17.1984	+	7.85426i	1.06050	+	0.484314i	0.867785	−	0.496940i	$-0.165543\pi$
$263$	17.1984	+	7.85426i	1.06050	+	0.484314i	0.192716	+	0.981255i	$0.438270\pi$
$264$	7.39619	−	2.15598i	0.455204	−	0.132691i
$265$	−2.02860	−	6.90877i	−0.124616	−	0.424402i
$266$	6.87531	−	14.7852i	0.421552	−	0.906540i
$267$	1.30170	+	9.18124i	0.0796626	+	0.561883i
$268$	0.510348	+	0.588972i	0.0311744	+	0.0359772i
$269$	−7.96208	−	17.4345i	−0.485456	−	1.06300i	−0.980927	−	0.194377i	$-0.937732\pi$
$269$	−7.96208	−	17.4345i	−0.485456	−	1.06300i	0.495471	−	0.868625i	$-0.334996\pi$
$270$	2.60460	+	4.10573i	0.158511	+	0.249867i
$271$	−2.50143	−	0.359651i	−0.151951	−	0.0218473i	0.0659194	−	0.997825i	$-0.479002\pi$
$271$	−2.50143	−	0.359651i	−0.151951	−	0.0218473i	−0.217871	+	0.975978i	$0.569911\pi$
$272$	−4.30557	−	2.76702i	−0.261064	−	0.167775i
$273$	−23.3918	−	20.6335i	−1.41573	−	1.24879i
$274$	−3.69868	−	1.08603i	−0.223445	−	0.0656095i
$275$		−	18.3450i		−	1.10625i
$276$	7.49235	−	3.58675i	0.450986	−	0.215897i
$277$	5.90277			0.354663			0.177332	−	0.984151i	$-0.443253\pi$
$277$	5.90277			0.354663			0.177332	+	0.984151i	$0.443253\pi$
$278$	−7.93231	−	2.32914i	−0.475748	−	0.139692i
$279$	−7.68799	−	6.71463i	−0.460268	−	0.401995i
$280$	1.35274	−	2.07346i	0.0808419	−	0.123913i
$281$	−2.25062	−	0.323591i	−0.134261	−	0.0193038i	0.0748566	−	0.997194i	$-0.476150\pi$
$281$	−2.25062	−	0.323591i	−0.134261	−	0.0193038i	−0.209118	+	0.977890i	$0.567059\pi$
$282$	9.02401	+	14.1023i	0.537372	+	0.839782i
$283$	−26.2898	+	12.0062i	−1.56277	+	0.713692i	−0.994059	−	0.108846i	$-0.965284\pi$
$283$	−26.2898	+	12.0062i	−1.56277	+	0.713692i	−0.568709	+	0.822539i	$0.692557\pi$
$284$	3.45840	−	2.99672i	0.205218	−	0.177822i
$285$	−9.88957	+	1.40212i	−0.585808	+	0.0830547i
$286$	27.5391	+	12.5767i	1.62842	+	0.743676i
$287$	−17.0983	+	4.89319i	−1.00928	+	0.288836i
$288$	0.833906	+	2.88177i	0.0491384	+	0.169810i
$289$	3.81948	−	8.36350i	0.224675	−	0.491971i
$290$	0.777643	+	5.40863i	0.0456648	+	0.317606i
$291$	−7.66090	+	6.61196i	−0.449090	+	0.387600i
$292$	−6.86386	+	3.13462i	−0.401677	+	0.183440i
$293$	13.5431	−	8.70360i	0.791195	−	0.508470i	−0.0815368	−	0.996670i	$-0.525983\pi$
$293$	13.5431	−	8.70360i	0.791195	−	0.508470i	0.872732	+	0.488200i	$0.162346\pi$
$294$	11.9724	+	1.91365i	0.698244	+	0.111606i
$295$	6.42434	+	4.12867i	0.374040	+	0.240381i
$296$	−5.97791	−	5.17988i	−0.347459	−	0.301075i
$297$	6.64172	−	22.1372i	0.385392	−	1.28453i
$298$	−0.527957			−0.0305837
$299$	31.4989	+	8.56710i	1.82163	+	0.495448i
$300$	7.14367	+	0.0140038i	0.412440	+	0.000808507i
$301$	−31.5767	−	9.50784i	−1.82005	−	0.548023i
$302$	9.21385	+	7.98385i	0.530198	+	0.459419i
$303$	−14.9292	−	9.63584i	−0.857662	−	0.553565i
$304$	−6.10021	−	0.877077i	−0.349871	−	0.0503038i
$305$	2.08885	+	3.25031i	0.119607	+	0.186112i
$306$	−13.9915	+	6.32353i	−0.799841	+	0.361492i
$307$	−5.86573	+	5.08268i	−0.334775	+	0.290084i	−0.805984	−	0.591938i	$-0.798363\pi$
$307$	−5.86573	+	5.08268i	−0.334775	+	0.290084i	0.471209	+	0.882022i	$0.343818\pi$
$308$	−11.6595	+	1.59472i	−0.664363	+	0.0908678i
$309$	−6.43226	−	2.95277i	−0.365919	−	0.167977i
$310$	3.05483	−	0.896979i	0.173503	−	0.0509450i
$311$	−9.93724	+	2.91784i	−0.563489	+	0.165455i	−0.551057	−	0.834467i	$-0.685776\pi$
$311$	−9.93724	+	2.91784i	−0.563489	+	0.165455i	−0.0124320	+	0.999923i	$0.503957\pi$
$312$	−4.91847	+	10.7143i	−0.278453	+	0.606579i
$313$	5.12657	−	0.737089i	0.289771	−	0.0416627i	0.00410335	−	0.999992i	$-0.498694\pi$
$313$	5.12657	−	0.737089i	0.289771	−	0.0416627i	0.285667	+	0.958329i	$0.407785\pi$
$314$	−0.372371	−	0.429739i	−0.0210141	−	0.0242516i
$315$	−3.01227	−	6.78885i	−0.169722	−	0.382508i
$316$	0.198459	−	0.127542i	0.0111642	−	0.00717480i
$317$	10.5971	+	1.52363i	0.595193	+	0.0855758i	0.433327	−	0.901237i	$-0.357340\pi$
$317$	10.5971	+	1.52363i	0.595193	+	0.0855758i	0.161866	+	0.986813i	$0.448249\pi$
$318$	−11.1982	−	7.22769i	−0.627963	−	0.405309i
$319$	17.0093	−	19.6297i	0.952335	−	1.09905i
$320$	−0.897827	−	0.263626i	−0.0501900	−	0.0147371i
$321$	0.0331758	−	16.9238i	0.00185169	−	0.944594i
$322$	−12.1265	+	3.73484i	−0.675781	+	0.208135i
$323$		−	31.5422i		−	1.75505i
$324$	8.61529	+	2.60323i	0.478627	+	0.144624i
$325$	21.2162	+	18.3839i	1.17686	+	1.01976i
$326$	−8.85473	+	13.7782i	−0.490418	+	0.763105i
$327$	−0.596114	+	4.08914i	−0.0329652	+	0.226130i
$328$	3.63417	+	5.65488i	0.200663	+	0.312238i
$329$	−10.4640	−	23.3358i	−0.576898	−	1.28654i
$330$	4.71013	+	5.45735i	0.259284	+	0.300417i
$331$	2.26804	+	15.7746i	0.124663	+	0.867050i	0.952164	+	0.305587i	$0.0988525\pi$
$331$	2.26804	+	15.7746i	0.124663	+	0.867050i	−0.827501	+	0.561464i	$0.810238\pi$
$332$	−0.868679	+	1.90214i	−0.0476749	+	0.104394i
$333$	−22.7945	+	6.59611i	−1.24913	+	0.361465i
$334$	3.48946	+	11.8840i	0.190935	+	0.650264i
$335$	−0.302935	+	0.663336i	−0.0165511	+	0.0362419i
$336$	−0.612095	−	4.54151i	−0.0333925	−	0.247760i
$337$	−17.8312	−	20.5783i	−0.971328	−	1.12097i	−0.992628	−	0.121199i	$-0.961326\pi$
$337$	−17.8312	−	20.5783i	−0.971328	−	1.12097i	0.0212999	−	0.999773i	$-0.493220\pi$
$338$	−30.3174	+	13.8455i	−1.64905	+	0.753095i
$339$	−4.16647	−	6.51118i	−0.226292	−	0.353639i
$340$	0.681561	−	4.74036i	0.0369629	−	0.257082i
$341$	−12.7315	−	8.18202i	−0.689447	−	0.443081i
$342$	−12.1623	+	13.9253i	−0.657661	+	0.752996i
$343$	−17.6588	−	5.58280i	−0.953484	−	0.301443i
$344$			12.4642i			0.672023i
$345$	5.96533	+	4.98303i	0.321163	+	0.268278i
$346$			16.7920i			0.902744i
$347$	0.620130	−	2.11197i	0.0332903	−	0.113376i	−0.941172	−	0.337929i	$-0.890274\pi$
$347$	0.620130	−	2.11197i	0.0332903	−	0.113376i	0.974462	+	0.224552i	$0.0720919\pi$
$348$	7.63096	+	6.63850i	0.409062	+	0.355861i
$349$	4.12998	−	6.42638i	0.221073	−	0.343996i	−0.712946	−	0.701218i	$-0.752640\pi$
$349$	4.12998	−	6.42638i	0.221073	−	0.343996i	0.934019	+	0.357222i	$0.116276\pi$
$350$	−10.7902	−	1.62712i	−0.576759	−	0.0869730i
$351$	18.9460	+	29.8653i	1.01126	+	1.59409i
$352$	1.84773	+	4.04597i	0.0984844	+	0.215651i
$353$	−13.6656	−	15.7709i	−0.727345	−	0.839401i	0.264825	−	0.964297i	$-0.414686\pi$
$353$	−13.6656	−	15.7709i	−0.727345	−	0.839401i	−0.992170	+	0.124896i	$0.960140\pi$
$354$	13.9956	−	1.98426i	0.743855	−	0.105462i
$355$	3.89505	+	1.77881i	0.206728	+	0.0944095i
$356$	−5.13693	+	1.50834i	−0.272257	+	0.0799418i
$357$	22.5612	−	6.40876i	1.19407	−	0.339188i
$358$	6.68354	−	14.6349i	0.353236	−	0.773479i
$359$	5.54643	−	0.797456i	0.292729	−	0.0420881i	0.00561437	−	0.999984i	$-0.498213\pi$
$359$	5.54643	−	0.797456i	0.292729	−	0.0420881i	0.287115	+	0.957896i	$0.407304\pi$
$360$	−2.12872	+	1.82999i	−0.112194	+	0.0964488i
$361$	−7.88532	−	17.2664i	−0.415017	−	0.908760i
$362$	17.0835	−	10.9789i	0.897891	−	0.577040i
$363$	2.19473	−	15.0551i	0.115194	−	0.790190i
$364$	9.83994	−	15.0825i	0.515753	−	0.790536i
$365$	−5.33619	−	4.62384i	−0.279309	−	0.242023i
$366$	6.85803	+	2.02831i	0.358475	+	0.106021i
$367$		−	5.11568i		−	0.267036i	−0.991046	−	0.133518i	$-0.957373\pi$
$367$		−	5.11568i		−	0.267036i	0.991046	−	0.133518i	$-0.0426274\pi$
$368$	2.67315	+	3.98174i	0.139348	+	0.207562i
$369$	20.1658	+	0.0790623i	1.04979	+	0.00411582i
$370$	2.08525	−	7.10172i	0.108407	−	0.369201i
$371$	15.2944	+	13.4377i	0.794045	+	0.697651i
$372$	3.19585	−	4.95147i	0.165697	−	0.256722i
$373$	−4.03118	+	28.0374i	−0.208726	+	1.45172i	0.568594	+	0.822618i	$0.307488\pi$
$373$	−4.03118	+	28.0374i	−0.208726	+	1.45172i	−0.777320	+	0.629105i	$0.783421\pi$
$374$	−19.1508	+	12.3075i	−0.990266	+	0.636405i
$375$	6.11687	+	13.4639i	0.315874	+	0.695271i
$376$	−7.30526	+	6.33004i	−0.376740	+	0.326447i
$377$	5.65663	+	39.3427i	0.291331	+	2.02625i
$378$	−12.4315	−	5.86998i	−0.639410	−	0.301919i
$379$	−8.84943	+	2.59843i	−0.454565	+	0.133472i	−0.500997	−	0.865449i	$-0.667033\pi$
$379$	−8.84943	+	2.59843i	−0.454565	+	0.133472i	0.0464319	+	0.998921i	$0.485215\pi$
$380$	−1.62471	−	5.53325i	−0.0833458	−	0.283850i
$381$	2.56550	−	5.58865i	0.131435	−	0.286315i
$382$	0.479047	+	3.33185i	0.0245102	+	0.170472i
$383$	19.4565	+	22.4540i	0.994179	+	1.14734i	0.989083	+	0.147357i	$0.0470767\pi$
$383$	19.4565	+	22.4540i	0.994179	+	1.14734i	0.00509612	+	0.999987i	$0.498378\pi$
$384$	−1.57694	+	0.716430i	−0.0804727	+	0.0365602i
$385$	−5.88963	−	9.30435i	−0.300163	−	0.474194i
$386$	−15.0506	−	2.16395i	−0.766056	−	0.110142i
$387$	31.3771	+	20.3391i	1.59499	+	1.03389i
$388$	−4.41553	−	3.82608i	−0.224165	−	0.194240i
$389$	−5.16312	+	17.5840i	−0.261781	+	0.891543i	0.718765	+	0.695253i	$0.244708\pi$
$389$	−5.16312	+	17.5840i	−0.261781	+	0.891543i	−0.980546	+	0.196290i	$0.937111\pi$
$390$	−11.0316	−	0.0216253i	−0.558606	−	0.00109504i
$391$	−18.2242	+	16.4423i	−0.921639	+	0.831521i
$392$	−0.0961602	+	6.99934i	−0.00485682	+	0.353520i
$393$	−23.5008	−	6.95052i	−1.18546	−	0.350607i
$394$	−11.7210	+	13.5268i	−0.590496	+	0.681469i
$395$	0.185704	+	0.119345i	0.00934380	+	0.00600489i
$396$	13.2004	+	1.95078i	0.663344	+	0.0980305i
$397$	−11.3104	−	17.5993i	−0.567653	−	0.883285i	0.432176	−	0.901789i	$-0.357746\pi$
$397$	−11.3104	−	17.5993i	−0.567653	−	0.883285i	−0.999829	+	0.0185042i	$0.994110\pi$
$398$	8.58418	+	18.7967i	0.430286	+	0.942195i
$399$	21.5064	−	18.3055i	1.07667	−	0.916421i
$400$	0.586965	+	4.08243i	0.0293482	+	0.204121i
$401$	12.4028	+	5.66416i	0.619366	+	0.282855i	0.700282	−	0.713866i	$-0.253057\pi$
$401$	12.4028	+	5.66416i	0.619366	+	0.282855i	−0.0809165	+	0.996721i	$0.525785\pi$
$402$	0.377750	+	1.29589i	0.0188405	+	0.0646332i
$403$	22.2210	−	6.52469i	1.10691	−	0.325018i
$404$	4.26168	−	9.33177i	0.212026	−	0.464273i
$405$	1.13312	+	8.34499i	0.0563050	+	0.414666i
$406$	−10.0372	−	11.7456i	−0.498136	−	0.582922i
$407$	−32.0032	+	14.6154i	−1.58634	+	0.724457i
$408$	−4.77800	−	7.46685i	−0.236546	−	0.369664i
$409$	−25.6117	−	3.68241i	−1.26642	−	0.182084i	−0.523825	−	0.851826i	$-0.675495\pi$
$409$	−25.6117	−	3.68241i	−1.26642	−	0.182084i	−0.742594	+	0.669742i	$0.766405\pi$
$410$	−3.40060	+	5.29144i	−0.167944	+	0.261326i
$411$	−5.03738	−	4.38223i	−0.248475	−	0.216159i
$412$	1.15124	−	3.92075i	0.0567173	−	0.193161i
$413$	−21.5918	−	0.148312i	−1.06247	−	0.00729798i
$414$	14.3856	−	0.231931i	0.707015	−	0.0113988i
$415$	−1.95672			−0.0960514
$416$	−6.53085	−	1.91763i	−0.320201	−	0.0940195i
$417$	−10.8033	−	9.39827i	−0.529041	−	0.460235i
$418$	−14.8202	+	23.0606i	−0.724878	+	1.12793i
$419$	−1.84494	+	12.8318i	−0.0901311	+	0.626876i	0.893818	+	0.448429i	$0.148016\pi$
$419$	−1.84494	+	12.8318i	−0.0901311	+	0.626876i	−0.983950	+	0.178447i	$0.942893\pi$
$420$	3.62767	−	2.28636i	0.177012	−	0.111563i
$421$	6.42053	+	14.0590i	0.312917	+	0.685193i	0.999108	−	0.0422283i	$-0.0134457\pi$
$421$	6.42053	+	14.0590i	0.312917	+	0.685193i	−0.686191	+	0.727422i	$0.740718\pi$
$422$	9.43426	−	8.17483i	0.459253	−	0.397945i
$423$	4.01438	+	28.7195i	0.195186	+	1.39639i
$424$	3.19662	−	6.99961i	0.155241	−	0.339931i
$425$	−20.2538	+	5.94707i	−0.982456	+	0.288475i
$426$	7.60936	−	2.21812i	0.368675	−	0.107468i
$427$	−9.90576	−	4.60630i	−0.479373	−	0.222914i
$428$	9.67152	−	1.39056i	0.467491	−	0.0672150i
$429$	34.2618	+	39.6971i	1.65417	+	1.91660i
$430$	−10.6091	+	4.84503i	−0.511618	+	0.233648i
$431$	−18.8157	−	29.2778i	−0.906319	−	1.41026i	−0.911961	−	0.410276i	$-0.865432\pi$
$431$	−18.8157	−	29.2778i	−0.906319	−	1.41026i	0.00564207	−	0.999984i	$-0.498204\pi$
$432$	−0.769724	+	5.13883i	−0.0370333	+	0.247242i
$433$	19.8420	−	30.8748i	0.953547	−	1.48375i	0.0801236	−	0.996785i	$-0.474468\pi$
$433$	19.8420	−	30.8748i	0.953547	−	1.48375i	0.873423	−	0.486962i	$-0.161895\pi$
$434$	−5.94171	+	6.76268i	−0.285211	+	0.324619i
$435$	−2.68421	+	9.07573i	−0.128698	+	0.435148i
$436$	−2.38582			−0.114260
$437$	−11.7369	+	27.1261i	−0.561453	+	1.29762i
$438$	−13.0696	−	0.0256204i	−0.624490	−	0.00122419i
$439$	7.85355	−	26.7467i	0.374829	−	1.27655i	−0.528986	−	0.848630i	$-0.677428\pi$
$439$	7.85355	−	26.7467i	0.374829	−	1.27655i	0.903816	−	0.427922i	$-0.140754\pi$
$440$	−2.72556	+	3.14547i	−0.129936	+	0.149954i
$441$	17.4631	+	11.6636i	0.831576	+	0.555411i
$442$	4.95772	−	34.4817i	0.235815	−	1.64013i
$443$	−13.0988	−	20.3822i	−0.622345	−	0.968387i	−0.999114	−	0.0420804i	$-0.986601\pi$
$443$	−13.0988	−	20.3822i	−0.622345	−	0.968387i	0.376769	−	0.926307i	$-0.377035\pi$
$444$	−5.66689	−	12.4734i	−0.268939	−	0.591962i
$445$	−3.28066	−	3.78609i	−0.155518	−	0.179478i
$446$	0.225716	+	1.56989i	0.0106880	+	0.0743365i
$447$	−0.831065	−	0.381505i	−0.0393080	−	0.0180446i
$448$	2.54364	−	0.727940i	0.120176	−	0.0343919i
$449$	−8.61092	−	29.3261i	−0.406374	−	1.38398i	−0.867848	−	0.496830i	$-0.834497\pi$
$449$	−8.61092	−	29.3261i	−0.406374	−	1.38398i	0.461474	−	0.887154i	$-0.347321\pi$
$450$	11.2348	+	5.18411i	0.529616	+	0.244381i
$451$	29.5944	−	4.25504i	1.39355	−	0.200362i
$452$	3.37291	−	2.92264i	0.158648	−	0.137469i
$453$	8.73448	+	19.2255i	0.410382	+	0.903293i
$454$	−2.92113	−	4.54537i	−0.137096	−	0.213325i
$455$	16.6627	+	2.51267i	0.781159	+	0.117796i
$456$	−8.96865	−	5.78867i	−0.419995	−	0.271079i
$457$	19.9814	−	23.0598i	0.934691	−	1.07869i	−0.0620543	−	0.998073i	$-0.519765\pi$
$457$	19.9814	−	23.0598i	0.934691	−	1.07869i	0.996745	−	0.0806179i	$-0.0256893\pi$
$458$	15.3266	+	4.50029i	0.716164	+	0.210285i
$459$	−26.5937	−	0.156397i	−1.24129	−	0.00729997i
$460$	−2.35004	+	3.82308i	−0.109571	+	0.178252i
$461$	−19.9052			−0.927077			−0.463539	−	0.886077i	$-0.653420\pi$
$461$	−19.9052			−0.927077			−0.463539	+	0.886077i	$0.653420\pi$
$462$	−19.5058	−	5.91498i	−0.907492	−	0.275190i
$463$	22.3255	−	25.7650i	1.03755	−	1.19740i	0.0575674	−	0.998342i	$-0.481666\pi$
$463$	22.3255	−	25.7650i	1.03755	−	1.19740i	0.979987	−	0.199060i	$-0.0637889\pi$
$464$	−3.15710	+	4.91254i	−0.146565	+	0.228059i
$465$	5.45682	+	0.795494i	0.253054	+	0.0368901i
$466$	1.16573	−	0.749171i	0.0540015	−	0.0347047i
$467$	−6.93908	−	15.1945i	−0.321102	−	0.703116i	0.678399	−	0.734694i	$-0.262674\pi$
$467$	−6.93908	−	15.1945i	−0.321102	−	0.703116i	−0.999501	+	0.0315776i	$0.989947\pi$
$468$	−15.4845	+	13.3114i	−0.715770	+	0.615322i
$469$	−0.279413	−	2.04287i	−0.0129021	−	0.0943311i
$470$	−8.22762	−	3.75743i	−0.379512	−	0.173317i
$471$	−0.275623	−	0.945537i	−0.0127000	−	0.0435681i
$472$	2.29926	+	7.83056i	0.105832	+	0.360431i
$473$	50.4297	+	23.0305i	2.31876	+	1.05894i
$474$	0.404560	−	0.0573578i	0.0185821	−	0.00263453i
$475$	−19.2100	+	16.6456i	−0.881415	+	0.763751i
$476$	5.54043	+	12.3557i	0.253945	+	0.566324i
$477$	−12.4044	−	19.4691i	−0.567961	−	0.891429i
$478$	−4.08278	+	28.3964i	−0.186742	+	1.29882i
$479$	−4.48179	−	2.88027i	−0.204778	−	0.131603i	0.434232	−	0.900801i	$-0.357020\pi$
$479$	−4.48179	−	2.88027i	−0.204778	−	0.131603i	−0.639011	+	0.769198i	$0.720656\pi$
$480$	−1.22278	−	1.06375i	−0.0558122	−	0.0485535i
$481$	15.1683	−	51.6584i	0.691613	−	2.35542i
$482$	3.18428			0.145040
$483$	−21.7873	−	2.88359i	−0.991355	−	0.131208i
$484$	8.78397			0.399271
$485$	1.54026	−	5.24563i	0.0699394	−	0.238192i
$486$	11.6803	+	10.3232i	0.529831	+	0.468272i
$487$	25.6339	+	16.4739i	1.16158	+	0.746503i	0.971912	−	0.235345i	$-0.0756219\pi$
$487$	25.6339	+	16.4739i	1.16158	+	0.746503i	0.189670	+	0.981848i	$0.439258\pi$
$488$	−0.587622	+	4.08700i	−0.0266004	+	0.185010i
$489$	−23.8946	+	15.2900i	−1.08055	+	0.691439i
$490$	−5.99501	+	2.63891i	−0.270827	+	0.119214i
$491$	−4.25663	+	3.68839i	−0.192099	+	0.166455i	−0.745600	−	0.666394i	$-0.767837\pi$
$491$	−4.25663	+	3.68839i	−0.192099	+	0.166455i	0.553501	+	0.832849i	$0.313292\pi$
$492$	1.63435	+	11.5275i	0.0736821	+	0.519700i
$493$	−27.1862	−	12.4155i	−1.22441	−	0.559168i
$494$	−11.8182	−	40.2492i	−0.531727	−	1.81090i
$495$	3.47076	+	11.9941i	0.155999	+	0.539094i
$496$	3.09500	+	1.41344i	0.138970	+	0.0634653i
$497$	−11.9956	+	1.64069i	−0.538075	+	0.0735949i
$498$	−2.74190	+	2.36648i	−0.122868	+	0.106044i
$499$	−15.1879	−	33.2569i	−0.679905	−	1.48878i	−0.862744	−	0.505641i	$-0.831256\pi$
$499$	−15.1879	−	33.2569i	−0.679905	−	1.48878i	0.182839	−	0.983143i	$-0.441471\pi$
$500$	−7.18261	+	4.61598i	−0.321216	+	0.206433i
$501$	−3.09465	+	21.2283i	−0.138259	+	0.948410i
$502$	−3.09535	+	4.81645i	−0.138152	+	0.214969i
$503$	4.25843	−	4.91448i	0.189874	−	0.219126i	−0.652829	−	0.757506i	$-0.726418\pi$
$503$	4.25843	−	4.91448i	0.189874	−	0.219126i	0.842702	+	0.538380i	$0.180963\pi$
$504$	2.31822	−	7.59117i	0.103262	−	0.338138i
$505$	9.59951			0.427173
$506$	21.0493	−	3.45831i	0.935754	−	0.153741i
$507$	−57.7279	−	0.113164i	−2.56379	−	0.00502580i
$508$	3.40653	+	1.00025i	0.151140	+	0.0443788i
$509$	15.8861	−	18.3336i	0.704141	−	0.812622i	−0.285165	−	0.958479i	$-0.592048\pi$
$509$	15.8861	−	18.3336i	0.704141	−	0.812622i	0.989306	+	0.145856i	$0.0465938\pi$
$510$	4.49828	−	6.96938i	0.199187	−	0.308609i
$511$	19.7410	+	2.97687i	0.873291	+	0.131689i
$512$	−0.540641	−	0.841254i	−0.0238932	−	0.0371785i
$513$	−29.2074	+	13.1315i	−1.28954	+	0.579771i
$514$	14.1554	−	12.2657i	0.624368	−	0.541018i
$515$	3.78473	−	0.544162i	0.166775	−	0.0239786i
$516$	−9.00670	+	19.6201i	−0.396498	+	0.863725i
$517$	12.1130	+	41.2531i	0.532729	+	1.81431i
$518$	5.75793	+	20.1199i	0.252989	+	0.884020i
$519$	−12.1340	+	26.4326i	−0.532624	+	1.16026i
$520$	−0.906418	−	6.30428i	−0.0397491	−	0.276461i
$521$	−1.25415	−	1.44737i	−0.0549453	−	0.0634103i	0.727612	−	0.685989i	$-0.240630\pi$
$521$	−1.25415	−	1.44737i	−0.0549453	−	0.0634103i	−0.782557	+	0.622579i	$0.786085\pi$
$522$	7.21498	+	15.9639i	0.315791	+	0.698723i
$523$	−20.6358	−	32.1100i	−0.902343	−	1.40407i	−0.914693	−	0.404149i	$-0.867568\pi$
$523$	−20.6358	−	32.1100i	−0.902343	−	1.40407i	0.0123505	−	0.999924i	$-0.496069\pi$
$524$	2.01363	−	14.0051i	0.0879660	−	0.611817i
$525$	−15.8092	−	10.3583i	−0.689970	−	0.452074i
$526$	−12.3815	+	14.2890i	−0.539857	+	0.623029i
$527$	−4.90609	+	16.7086i	−0.213713	+	0.727839i
$528$	−0.0151022	+	7.70400i	−0.000657238	+	0.335274i
$529$	21.7909	−	7.35898i	0.947433	−	0.319956i
$530$	7.20044			0.312767
$531$	23.4645	+	6.98983i	1.01827	+	0.303333i
$532$	12.2493	+	10.7623i	0.531075	+	0.466604i
$533$	−24.7362	+	38.4903i	−1.07144	+	1.66720i
$534$	−9.17606	−	1.33768i	−0.397087	−	0.0578872i
$535$	4.94308	+	7.69158i	0.213708	+	0.332536i
$536$	−0.708896	+	0.323742i	−0.0306197	+	0.0139835i
$537$	21.0960	−	18.2075i	0.910358	−	0.785710i
$538$	18.9715	−	2.72769i	0.817918	−	0.117599i
$539$	28.1414	+	13.3220i	1.21214	+	0.573818i
$540$	−4.67322	+	1.34238i	−0.201103	+	0.0577668i
$541$	−22.3641	+	6.56669i	−0.961508	+	0.282324i	−0.724571	−	0.689201i	$-0.757962\pi$
$541$	−22.3641	+	6.56669i	−0.961508	+	0.282324i	−0.236938	+	0.971525i	$0.576144\pi$
$542$	1.04982	−	2.29878i	0.0450935	−	0.0987410i
$543$	34.8249	−	4.93741i	1.49448	−	0.211885i
$544$	3.86796	−	3.35161i	0.165837	−	0.143699i
$545$	−0.927408	−	2.03074i	−0.0397258	−	0.0869874i
$546$	26.3879	−	16.6311i	1.12930	−	0.711746i
$547$	4.42148	−	30.7520i	0.189049	−	1.31486i	−0.645429	−	0.763820i	$-0.723321\pi$
$547$	4.42148	−	30.7520i	0.189049	−	1.31486i	0.834478	−	0.551042i	$-0.185770\pi$
$548$	2.08408	−	3.24289i	0.0890274	−	0.138529i
$549$	9.32965	+	8.14845i	0.398180	+	0.347767i
$550$	17.6019	+	5.16839i	0.750549	+	0.220381i
$551$	−35.9888			−1.53317
$552$	1.33062	+	8.19936i	0.0566350	+	0.348988i
$553$	−0.624142	−	0.00428717i	−0.0265412	−	0.000182309i
$554$	−1.66300	+	5.66367i	−0.0706542	+	0.240626i
$555$	8.41418	−	9.67211i	0.357162	−	0.410558i
$556$	4.46958	−	6.95480i	0.189552	−	0.294949i
$557$	−2.15596	−	0.309980i	−0.0913510	−	0.0131343i	0.0964877	−	0.995334i	$-0.469239\pi$
$557$	−2.15596	−	0.309980i	−0.0913510	−	0.0131343i	−0.187839	+	0.982200i	$0.560148\pi$
$558$	8.60860	−	5.48484i	0.364431	−	0.232192i
$559$	−77.1715	+	35.2431i	−3.26401	+	1.49062i
$560$	1.60836	+	1.88211i	0.0679654	+	0.0795336i
$561$	−39.0391	+	5.53489i	−1.64823	+	0.233683i
$562$	0.944558	−	2.06829i	0.0398438	−	0.0872457i
$563$	−8.34289	+	2.44969i	−0.351611	+	0.103242i	−0.452768	−	0.891628i	$-0.649564\pi$
$563$	−8.34289	+	2.44969i	−0.351611	+	0.103242i	0.101157	+	0.994870i	$0.467745\pi$
$564$	−16.0735	+	4.68539i	−0.676814	+	0.197290i
$565$	3.79877	+	1.73484i	0.159815	+	0.0729852i
$566$	−4.11313	−	28.6074i	−0.172888	−	1.20246i
$567$	−15.3270	−	18.2232i	−0.643673	−	0.765300i
$568$	1.90099	+	4.16258i	0.0797636	+	0.174658i
$569$	10.3934	+	16.1724i	0.435713	+	0.677983i	0.987787	−	0.155812i	$-0.0497996\pi$
$569$	10.3934	+	16.1724i	0.435713	+	0.677983i	−0.552073	+	0.833795i	$0.686163\pi$
$570$	1.44089	−	9.88400i	0.0603521	−	0.413995i
$571$	−6.21083	−	3.99146i	−0.259915	−	0.167037i	0.404193	−	0.914674i	$-0.367552\pi$
$571$	−6.21083	−	3.99146i	−0.259915	−	0.167037i	−0.664108	+	0.747636i	$0.731189\pi$
$572$	−19.8259	+	22.8803i	−0.828964	+	0.956675i
$573$	−1.65354	+	5.59087i	−0.0690776	+	0.233562i
$574$	0.122158	−	17.7842i	0.00509879	−	0.742300i
$575$	19.6311	+	2.42206i	0.818674	+	0.101007i
$576$	−2.99998	−	0.0117618i	−0.124999	−	0.000490074i
$577$	1.63066	−	5.55351i	0.0678852	−	0.231196i	−0.918561	−	0.395278i	$-0.870648\pi$
$577$	1.63066	−	5.55351i	0.0678852	−	0.231196i	0.986447	+	0.164083i	$0.0524663\pi$
$578$	6.94865	+	6.02104i	0.289026	+	0.250442i
$579$	−22.1277	−	14.2820i	−0.919596	−	0.593539i
$580$	−5.40863	−	0.777643i	−0.224581	−	0.0322899i
$581$	4.67472	−	2.95909i	0.193940	−	0.122764i
$582$	−4.18581	−	9.21339i	−0.173507	−	0.381907i
$583$	−22.4137	−	25.8668i	−0.928281	−	1.07129i
$584$	−1.07387	−	7.46895i	−0.0444372	−	0.309067i
$585$	−17.3494	−	8.00555i	−0.717308	−	0.330989i
$586$	4.53552	+	15.4466i	0.187361	+	0.638092i
$587$	−10.0550	+	2.95240i	−0.415012	+	0.121859i	−0.482571	−	0.875857i	$-0.660297\pi$
$587$	−10.0550	+	2.95240i	−0.415012	+	0.121859i	0.0675591	+	0.997715i	$0.478479\pi$
$588$	−5.20914	+	10.9483i	−0.214821	+	0.451500i
$589$	2.98423	+	20.7558i	0.122963	+	0.855228i
$590$	−5.77138	+	5.00093i	−0.237604	+	0.205885i
$591$	−28.2248	+	12.8230i	−1.16101	+	0.527468i
$592$	6.65423	−	4.27642i	0.273487	−	0.175760i
$593$	−4.03574	+	28.0692i	−0.165728	+	1.15266i	0.721865	+	0.692034i	$0.243285\pi$
$593$	−4.03574	+	28.0692i	−0.165728	+	1.15266i	−0.887593	+	0.460629i	$0.847624\pi$
$594$	19.3693	+	12.6094i	0.794731	+	0.517372i
$595$	−8.36318	+	9.51873i	−0.342857	+	0.390230i
$596$	0.148743	−	0.506571i	0.00609273	−	0.0207499i
$597$	−0.0701616	+	35.7912i	−0.00287152	+	1.46484i
$598$	−17.0943	+	27.8093i	−0.699039	+	1.13721i
$599$		−	16.3218i		−	0.666892i	−0.942769	−	0.333446i	$-0.891789\pi$
$599$		−	16.3218i		−	0.666892i	0.942769	−	0.333446i	$-0.108211\pi$
$600$	−2.02604	+	6.85036i	−0.0827128	+	0.279665i
$601$	20.6217	+	17.8688i	0.841177	+	0.728884i	0.964670	−	0.263461i	$-0.0848641\pi$
$601$	20.6217	+	17.8688i	0.841177	+	0.728884i	−0.123493	+	0.992345i	$0.539410\pi$
$602$	18.0189	−	27.6190i	0.734396	−	1.12567i
$603$	−0.341798	+	2.31285i	−0.0139191	+	0.0941864i
$604$	−10.2563	+	6.59132i	−0.417323	+	0.268197i
$605$	3.41447	+	7.47665i	0.138818	+	0.303969i
$606$	13.4516	−	11.6098i	0.546433	−	0.471615i
$607$	2.00075	−	0.287665i	0.0812081	−	0.0116760i	−0.101591	−	0.994826i	$-0.532393\pi$
$607$	2.00075	−	0.287665i	0.0812081	−	0.0116760i	0.182799	+	0.983150i	$0.441484\pi$
$608$	2.56018	−	5.60600i	0.103829	−	0.227354i
$609$	−7.31223	−	25.7418i	−0.296306	−	1.04311i
$610$	−3.70715	+	1.08852i	−0.150098	+	0.0440728i
$611$	−59.8482	−	27.3318i	−2.42120	−	1.10572i
$612$	−2.12552	−	15.2063i	−0.0859190	−	0.614678i
$613$	−6.48935	−	7.48911i	−0.262102	−	0.302482i	0.609411	−	0.792855i	$-0.291406\pi$
$613$	−6.48935	−	7.48911i	−0.262102	−	0.302482i	−0.871513	+	0.490373i	$0.836861\pi$
$614$	−3.22423	−	7.06008i	−0.130119	−	0.284922i
$615$	−9.17658	+	5.87204i	−0.370035	+	0.236784i
$616$	1.75474	−	11.6365i	0.0707006	−	0.468849i
$617$	13.3004	−	20.6958i	0.535453	−	0.833181i	−0.463136	−	0.886287i	$-0.653276\pi$
$617$	13.3004	−	20.6958i	0.535453	−	0.833181i	0.998589	+	0.0531061i	$0.0169121\pi$
$618$	4.64534	−	5.33982i	0.186863	−	0.214799i
$619$	0.435414	−	1.48288i	0.0175008	−	0.0596021i	−0.950280	−	0.311398i	$-0.899203\pi$
$619$	0.435414	−	1.48288i	0.0175008	−	0.0596021i	0.967780	+	0.251796i	$0.0810211\pi$
$620$			3.18380i			0.127864i
$621$	22.8122	+	10.0301i	0.915423	+	0.402493i
$622$		−	10.3568i		−	0.415268i
$623$	13.5633	+	4.08395i	0.543403	+	0.163620i
$624$	−8.89462	−	7.73781i	−0.356070	−	0.309760i
$625$	10.6274	+	6.82980i	0.425095	+	0.273192i
$626$	−0.737089	+	5.12657i	−0.0294600	+	0.204899i
$627$	−39.9924	+	25.5909i	−1.59714	+	1.02200i
$628$	0.517241	−	0.236216i	0.0206402	−	0.00942605i
$629$	26.5109	+	30.5952i	1.05706	+	1.21991i
$630$	7.36251	−	0.977612i	0.293329	−	0.0389490i
$631$	−3.30009	+	7.22618i	−0.131374	+	0.287670i	−0.963875	−	0.266354i	$-0.914181\pi$
$631$	−3.30009	+	7.22618i	−0.131374	+	0.287670i	0.832501	+	0.554024i	$0.186908\pi$
$632$	0.0664632	+	0.226353i	0.00264376	+	0.00900384i
$633$	20.7578	−	6.05087i	0.825049	−	0.240500i
$634$	−4.44746	+	9.73859i	−0.176631	+	0.386769i
$635$	0.472793	+	3.28835i	0.0187622	+	0.130494i
$636$	10.0898	−	8.70830i	0.400087	−	0.345306i
$637$	−43.6081	+	19.1956i	−1.72781	+	0.760557i
$638$	14.0425	+	21.8506i	0.555949	+	0.865073i
$639$	13.5808	+	2.00701i	0.537250	+	0.0793960i
$640$	0.505894	−	0.787186i	0.0199972	−	0.0311163i
$641$	18.9971	+	16.4611i	0.750341	+	0.650175i	0.943643	−	0.330965i	$-0.107374\pi$
$641$	18.9971	+	16.4611i	0.750341	+	0.650175i	−0.193302	+	0.981139i	$0.561920\pi$
$642$	16.2289	+	4.79982i	0.640504	+	0.189434i
$643$		−	41.1954i		−	1.62459i	−0.583247	−	0.812295i	$-0.698218\pi$
$643$		−	41.1954i		−	1.62459i	0.583247	−	0.812295i	$-0.301782\pi$
$644$	−0.167140	−	12.6875i	−0.00658623	−	0.499957i
$645$	−20.2011	−	0.0396002i	−0.795416	−	0.00155926i
$646$	30.2645	+	8.88646i	1.19074	+	0.349633i
$647$	1.22612	−	1.41501i	0.0482036	−	0.0556299i	−0.731136	−	0.682232i	$-0.761009\pi$
$647$	1.22612	−	1.41501i	0.0482036	−	0.0556299i	0.779339	+	0.626602i	$0.215555\pi$
$648$	−4.92499	+	7.53290i	−0.193472	+	0.295920i
$649$	35.9306	+	5.16604i	1.41040	+	0.202785i
$650$	−23.6165	+	15.1774i	−0.926317	+	0.595308i
$651$	−14.2397	+	6.35171i	−0.558098	+	0.248943i
$652$	−10.7254	−	12.3778i	−0.420041	−	0.484753i
$653$	2.33484	−	0.335699i	0.0913693	−	0.0131369i	−0.0964785	−	0.995335i	$-0.530758\pi$
$653$	2.33484	−	0.335699i	0.0913693	−	0.0131369i	0.187848	+	0.982198i	$0.439849\pi$
$654$	−3.75556	−	1.72401i	−0.146854	−	0.0674142i
$655$	12.7035	−	3.73008i	0.496366	−	0.145746i
$656$	−6.44968	+	1.89380i	−0.251818	+	0.0739404i
$657$	−20.5546	−	9.48452i	−0.801910	−	0.370026i
$658$	25.3386	−	3.46566i	0.987800	−	0.135106i
$659$	−2.31697	+	2.00767i	−0.0902565	+	0.0782077i	−0.698820	−	0.715297i	$-0.746291\pi$
$659$	−2.31697	+	2.00767i	−0.0902565	+	0.0782077i	0.608564	+	0.793505i	$0.291746\pi$
$660$	−6.56329	+	2.98182i	−0.255476	+	0.116067i
$661$	−10.0066	−	15.5705i	−0.389211	−	0.605624i	0.590259	−	0.807214i	$-0.299026\pi$
$661$	−10.0066	−	15.5705i	−0.389211	−	0.605624i	−0.979470	+	0.201590i	$0.935389\pi$
$662$	−15.7746	−	2.26804i	−0.613097	−	0.0881501i
$663$	32.7207	−	50.6957i	1.27077	−	1.96886i
$664$	−1.58036	−	1.36939i	−0.0613297	−	0.0531425i
$665$	−4.39903	+	14.6097i	−0.170587	+	0.566541i
$666$	0.0930345	−	23.7295i	0.00360501	−	0.919500i
$667$	18.7602	+	20.7934i	0.726397	+	0.805122i
$668$	−12.3857			−0.479218
$669$	−0.779110	+	2.63429i	−0.0301222	+	0.101848i
$670$	−0.551119	−	0.477548i	−0.0212916	−	0.0184493i
$671$	15.4501	+	9.92917i	0.596444	+	0.383312i
$672$	4.53000	+	0.692191i	0.174748	+	0.0267018i
$673$	15.0546	−	9.67500i	0.580312	−	0.372944i	−0.217309	−	0.976103i	$-0.569728\pi$
$673$	15.0546	−	9.67500i	0.580312	−	0.372944i	0.797621	+	0.603159i	$0.206092\pi$
$674$	24.7684	−	11.3113i	0.954043	−	0.435697i
$675$	13.9389	+	16.2788i	0.536507	+	0.626570i
$676$	−4.74325	−	32.9900i	−0.182433	−	1.26885i
$677$	−6.97253	+	15.2677i	−0.267976	+	0.586785i	−0.995005	−	0.0998208i	$-0.968173\pi$
$677$	−6.97253	+	15.2677i	−0.267976	+	0.586785i	0.727029	+	0.686606i	$0.240900\pi$
$678$	7.42126	−	2.16329i	0.285012	−	0.0830805i
$679$	4.25305	+	14.8614i	0.163217	+	0.570330i
$680$	4.35633	+	1.98947i	0.167058	+	0.0762926i
$681$	−1.31368	−	9.26577i	−0.0503404	−	0.355065i
$682$	11.4375	−	9.91061i	0.437963	−	0.379497i
$683$	13.1802	−	6.01918i	0.504325	−	0.230318i	−0.146972	−	0.989141i	$-0.546953\pi$
$683$	13.1802	−	6.01918i	0.504325	−	0.230318i	0.651297	+	0.758823i	$0.274225\pi$
$684$	−9.93475	−	15.5928i	−0.379865	−	0.596207i
$685$	3.57036	+	0.513341i	0.136417	+	0.0196137i
$686$	10.3317	−	15.3706i	0.394467	−	0.586853i
$687$	20.8739	+	18.1591i	0.796388	+	0.692812i
$688$	−11.9593	−	3.51156i	−0.455944	−	0.133877i
$689$	52.3764			1.99538
$690$	−6.46181	+	4.31981i	−0.245997	+	0.164452i
$691$			37.8025i			1.43808i	0.694971	+	0.719038i	$0.255417\pi$
$691$			37.8025i			1.43808i	−0.694971	+	0.719038i	$0.744583\pi$
$692$	−16.1118	−	4.73085i	−0.612479	−	0.179840i
$693$	−26.4302	−	23.4059i	−1.00400	−	0.889116i
$694$	1.85171	+	1.19002i	0.0702899	+	0.0451726i
$695$	7.65712	+	1.10093i	0.290451	+	0.0417606i
$696$	−8.51948	+	5.45157i	−0.322930	+	0.206641i
$697$	−14.2917	−	31.2944i	−0.541335	−	1.18536i
$698$	5.00252	+	5.77321i	0.189348	+	0.218519i
$699$	2.37635	−	0.336915i	0.0898819	−	0.0127433i
$700$	4.60115	−	9.89468i	0.173907	−	0.373984i
$701$	1.37992	+	4.69957i	0.0521187	+	0.177500i	0.981439	−	0.191775i	$-0.0614243\pi$
$701$	1.37992	+	4.69957i	0.0521187	+	0.177500i	−0.929320	+	0.369275i	$0.879606\pi$
$702$	−33.9933	+	9.76456i	−1.28299	+	0.368539i
$703$	44.3430	+	20.2507i	1.67243	+	0.763771i
$704$	−4.40264	+	0.633005i	−0.165931	+	0.0238573i
$705$	−10.2361	−	11.8600i	−0.385513	−	0.446672i
$706$	18.9821	−	8.66884i	0.714401	−	0.326256i
$707$	−22.9339	+	14.5171i	−0.862516	+	0.545971i
$708$	−2.03912	+	13.9877i	−0.0766347	+	0.525689i
$709$	−14.6825	−	9.43586i	−0.551412	−	0.354371i	0.235075	−	0.971977i	$-0.424466\pi$
$709$	−14.6825	−	9.43586i	−0.551412	−	0.354371i	−0.786488	+	0.617606i	$0.788103\pi$
$710$	−2.80412	+	3.23613i	−0.105237	+	0.121450i
$711$	0.678272	+	0.202050i	0.0254372	+	0.00757748i
$712$		−	5.35380i		−	0.200642i
$713$	10.4365	−	12.5438i	0.390851	−	0.469767i
$714$	−0.207074	+	23.4529i	−0.00774953	+	0.877703i
$715$	−27.1817	−	7.98127i	−1.01654	−	0.298483i
$716$	12.1591	+	10.5359i	0.454408	+	0.393747i
$717$	−26.9462	+	41.7489i	−1.00632	+	1.55914i
$718$	−0.797456	+	5.54643i	−0.0297608	+	0.206991i
$719$	17.4726	−	11.2290i	0.651619	−	0.418770i	−0.172639	−	0.984985i	$-0.555229\pi$
$719$	17.4726	−	11.2290i	0.651619	−	0.418770i	0.824257	+	0.566215i	$0.191593\pi$
$720$	−1.15613	−	2.55806i	−0.0430864	−	0.0953334i
$721$	−8.21904	+	7.02358i	−0.306093	+	0.261572i
$722$	18.7886	−	2.70139i	0.699239	−	0.100535i
$723$	5.01242	+	2.30098i	0.186414	+	0.0855745i
$724$	5.72121	+	19.4847i	0.212627	+	0.724142i
$725$	6.78544	+	23.1091i	0.252005	+	0.858250i
$726$	13.8270	+	6.34736i	0.513167	+	0.235573i
$727$	5.13081	−	0.737700i	0.190291	−	0.0273598i	−0.0465101	−	0.998918i	$-0.514810\pi$
$727$	5.13081	−	0.737700i	0.190291	−	0.0273598i	0.236802	+	0.971558i	$0.423901\pi$
$728$	11.6993	+	13.6906i	0.433604	+	0.507406i
$729$	10.9266	+	24.6903i	0.404688	+	0.914455i
$730$	5.93992	−	3.81735i	0.219846	−	0.141287i
$731$	9.07858	−	63.1429i	0.335783	−	2.33542i
$732$	−3.87828	+	6.00879i	−0.143345	+	0.222091i
$733$	23.9263	+	20.7323i	0.883739	+	0.765764i	0.973136	−	0.230232i	$-0.0739486\pi$
$733$	23.9263	+	20.7323i	0.883739	+	0.765764i	−0.0893971	+	0.995996i	$0.528494\pi$
$734$	4.90846	+	1.44125i	0.181174	+	0.0531976i
$735$	−11.3437	−	0.178087i	−0.418420	−	0.00656885i
$736$	−4.57357	+	1.44309i	−0.168584	+	0.0531929i
$737$			3.46636i			0.127685i
$738$	−5.75721	+	19.3266i	−0.211926	+	0.711423i
$739$	−14.4047	+	16.6239i	−0.529884	+	0.611519i	−0.956078	−	0.293113i	$-0.905309\pi$
$739$	−14.4047	+	16.6239i	−0.529884	+	0.611519i	0.426194	+	0.904632i	$0.359854\pi$
$740$	6.22657	+	4.00157i	0.228893	+	0.147101i
$741$	10.4811	−	71.8968i	0.385033	−	2.64120i
$742$	−17.2023	+	10.8890i	−0.631517	+	0.399749i
$743$	42.9977	−	19.6364i	1.57743	−	0.720389i	0.581762	−	0.813359i	$-0.302363\pi$
$743$	42.9977	−	19.6364i	1.57743	−	0.720389i	0.995669	+	0.0929704i	$0.0296362\pi$
$744$	3.85052	+	4.46138i	0.141167	+	0.163562i
$745$	0.488996	−	0.0703071i	0.0179154	−	0.00257585i
$746$	−25.7660	−	11.7669i	−0.943361	−	0.430818i
$747$	−6.02610	+	1.74379i	−0.220484	+	0.0638019i
$748$	−6.41354	−	21.8425i	−0.234502	−	0.798641i
$749$	−23.4411	−	10.9004i	−0.856519	−	0.398292i
$750$	−14.6418	+	2.07589i	−0.534643	+	0.0758006i
$751$	17.5998	+	20.3113i	0.642227	+	0.741170i	0.979767	−	0.200142i	$-0.0641402\pi$
$751$	17.5998	+	20.3113i	0.642227	+	0.741170i	−0.337540	+	0.941311i	$0.609595\pi$
$752$	−4.01550	−	8.79272i	−0.146430	−	0.320638i
$753$	−8.35283	+	5.34493i	−0.304394	+	0.194780i
$754$	−39.3427	−	5.65663i	−1.43278	−	0.206002i
$755$	−9.59712	−	6.16770i	−0.349275	−	0.224465i
$756$	9.13458	−	10.2742i	0.332221	−	0.373670i
$757$	−9.34206	−	2.74308i	−0.339543	−	0.0996988i	0.107516	−	0.994203i	$-0.465710\pi$
$757$	−9.34206	−	2.74308i	−0.339543	−	0.0996988i	−0.447059	+	0.894505i	$0.647529\pi$
$758$		−	9.22303i		−	0.334996i
$759$	35.6330	+	9.76656i	1.29339	+	0.354504i
$760$	5.76685			0.209186
$761$	0.957197	+	0.281058i	0.0346984	+	0.0101884i	0.299036	−	0.954242i	$-0.403335\pi$
$761$	0.957197	+	0.281058i	0.0346984	+	0.0101884i	−0.264337	+	0.964430i	$0.585153\pi$
$762$	4.63949	+	4.03609i	0.168071	+	0.146212i
$763$	5.28667	+	3.44908i	0.191390	+	0.124865i
$764$	−3.33185	−	0.479047i	−0.120542	−	0.0173313i
$765$	12.1169	−	7.72012i	0.438088	−	0.279121i
$766$	−27.0259	+	12.3423i	−0.976487	+	0.445947i
$767$	−41.9814	+	36.3771i	−1.51586	+	1.31350i
$768$	−0.243135	−	1.71490i	−0.00877339	−	0.0618812i
$769$	39.2382	+	17.9195i	1.41496	+	0.646193i	0.968592	−	0.248655i	$-0.0799884\pi$
$769$	39.2382	+	17.9195i	1.41496	+	0.646193i	0.446372	+	0.894847i	$0.352716\pi$
$770$	10.5868	−	3.02972i	0.381520	−	0.109184i
$771$	31.1455	−	9.07887i	1.12168	−	0.326967i
$772$	6.31654	−	13.8313i	0.227337	−	0.497799i
$773$	1.08838	+	7.56983i	0.0391462	+	0.272268i	0.999988	−	0.00482854i	$-0.00153698\pi$
$773$	1.08838	+	7.56983i	0.0391462	+	0.272268i	−0.960842	+	0.277096i	$0.910628\pi$
$774$	−28.3552	+	24.3759i	−1.01921	+	0.876174i
$775$	12.7650	−	5.82960i	0.458534	−	0.209405i
$776$	4.91510	−	3.15874i	0.176442	−	0.113392i
$777$	−5.47516	+	35.8318i	−0.196420	+	1.28546i
$778$	−15.4171	−	9.90796i	−0.552729	−	0.355217i
$779$	−31.3085	−	27.1290i	−1.12174	−	0.971996i
$780$	3.12871	−	10.5786i	0.112026	−	0.378776i
$781$	20.3542			0.728330
$782$	−10.6419	−	22.1183i	−0.380553	−	0.790950i
$783$	−0.178444	+	30.3427i	−0.00637708	+	1.08436i
$784$	−6.68873	−	2.06421i	−0.238883	−	0.0737217i
$785$	0.402120	+	0.348439i	0.0143523	+	0.0124363i
$786$	13.2899	−	20.5906i	0.474035	−	0.734444i
$787$	27.0763	+	3.89298i	0.965164	+	0.138770i	0.606837	−	0.794826i	$-0.292438\pi$
$787$	27.0763	+	3.89298i	0.965164	+	0.138770i	0.358327	+	0.933596i	$0.383347\pi$
$788$	−9.67665	−	15.0572i	−0.344716	−	0.536389i
$789$	−29.8152	+	13.5456i	−1.06145	+	0.482235i
$790$	−0.166830	+	0.144559i	−0.00593553	+	0.00514316i
$791$	−11.6990	+	1.60013i	−0.415970	+	0.0568941i
$792$	−5.59074	+	12.1161i	−0.198658	+	0.430526i
$793$	−26.9660	+	7.91794i	−0.957592	+	0.281174i
$794$	20.0729	−	5.89395i	0.712362	−	0.209168i
$795$	11.3343	+	5.20309i	0.401987	+	0.184534i
$796$	−20.4538	+	2.94081i	−0.724965	+	0.104234i
$797$	−22.2805	−	25.7131i	−0.789216	−	0.910804i	0.208522	−	0.978018i	$-0.433135\pi$
$797$	−22.2805	−	25.7131i	−0.789216	−	0.910804i	−0.997739	+	0.0672136i	$0.978589\pi$
$798$	11.5049	+	25.7925i	0.407270	+	0.913045i
$799$	41.6187	−	26.7467i	1.47236	−	0.946231i
$800$	−4.08243	−	0.586965i	−0.144336	−	0.0207523i
$801$	−13.4776	−	8.73636i	−0.476206	−	0.308684i
$802$	−8.92900	+	10.3046i	−0.315294	+	0.363868i
$803$	−32.2034	−	9.45576i	−1.13643	−	0.333687i
$804$	−1.34982	−	0.00264606i	−0.0476046	−	9.33194e-5i
$805$	10.7342	−	5.07409i	0.378332	−	0.178838i
$806$			23.1591i			0.815746i
$807$	31.8343	+	9.41523i	1.12062	+	0.331432i
$808$	7.75312	+	6.71811i	0.272754	+	0.236342i
$809$	−2.99495	+	4.66024i	−0.105297	+	0.163845i	−0.889904	−	0.456149i	$-0.849229\pi$
$809$	−2.99495	+	4.66024i	−0.105297	+	0.163845i	0.784607	+	0.619994i	$0.212865\pi$
$810$	−8.32620	−	1.26384i	−0.292553	−	0.0444068i
$811$	21.7938	+	33.9118i	0.765283	+	1.19080i	0.976951	+	0.213462i	$0.0684738\pi$
$811$	21.7938	+	33.9118i	0.765283	+	1.19080i	−0.211669	+	0.977341i	$0.567890\pi$
$812$	14.0976	−	6.32148i	0.494728	−	0.221840i
$813$	3.31365	−	2.85994i	0.116215	−	0.100302i
$814$	−5.00700	−	34.8245i	−0.175495	−	1.22060i
$815$	6.36648	−	13.9406i	0.223008	−	0.488320i
$816$	8.51051	−	2.48080i	0.297927	−	0.0868454i
$817$	−21.6416	−	73.7044i	−0.757142	−	2.57859i
$818$	10.7489	−	23.5368i	0.375827	−	0.822946i
$819$	53.5553	−	7.11121i	1.87138	−	0.248486i
$820$	−4.11904	−	4.75363i	−0.143843	−	0.166004i
$821$	36.5950	−	16.7124i	1.27717	−	0.583265i	0.342749	−	0.939427i	$-0.388642\pi$
$821$	36.5950	−	16.7124i	1.27717	−	0.583265i	0.934424	+	0.356162i	$0.115915\pi$
$822$	5.62391	−	3.59871i	0.196156	−	0.125519i
$823$	−2.97027	+	20.6586i	−0.103537	+	0.720115i	0.870243	+	0.492623i	$0.163962\pi$
$823$	−2.97027	+	20.6586i	−0.103537	+	0.720115i	−0.973780	+	0.227492i	$0.926947\pi$
$824$	3.43759	+	2.20920i	0.119754	+	0.0769613i
$825$	23.9727	+	20.8549i	0.834624	+	0.726075i
$826$	6.22543	−	20.6754i	0.216610	−	0.719391i
$827$			23.6911i			0.823819i	0.911225	+	0.411910i	$0.135138\pi$
$827$			23.6911i			0.823819i	−0.911225	+	0.411910i	$0.864862\pi$
$828$	−3.83036	+	13.8682i	−0.133114	+	0.481955i
$829$			28.0713i			0.974955i	0.873136	+	0.487477i	$0.162083\pi$
$829$			28.0713i			0.974955i	−0.873136	+	0.487477i	$0.837917\pi$
$830$	0.551271	−	1.87746i	0.0191349	−	0.0651674i
$831$	−6.71037	+	7.71357i	−0.232780	+	0.267581i
$832$	3.67991	−	5.72604i	0.127578	−	0.198515i
$833$	5.58528	−	35.3883i	0.193518	−	1.22613i
$834$	12.0612	−	7.71791i	0.417646	−	0.267249i
$835$	−4.81453	−	10.5423i	−0.166614	−	0.364833i
$836$	−17.9512	−	20.7168i	−0.620855	−	0.716505i
$837$	17.5143	−	2.41314i	0.605383	−	0.0834102i
$838$	−11.7923	−	5.38535i	−0.407357	−	0.186034i
$839$	22.0399	−	6.47151i	0.760903	−	0.223421i	0.121813	−	0.992553i	$-0.461129\pi$
$839$	22.0399	−	6.47151i	0.760903	−	0.223421i	0.639090	+	0.769132i	$0.279311\pi$
$840$	1.17171	+	4.12486i	0.0404279	+	0.142321i
$841$	−2.11877	+	4.63946i	−0.0730610	+	0.159981i
$842$	−15.2984	+	2.19957i	−0.527217	+	0.0758024i
$843$	2.98141	−	2.57319i	0.102685	−	0.0886253i
$844$	5.18576	+	11.3552i	0.178501	+	0.390863i
$845$	26.2364	−	16.8611i	0.902558	−	0.580039i
$846$	−28.6872	−	4.23945i	−0.986285	−	0.145755i
$847$	−19.4641	−	12.6986i	−0.668796	−	0.436329i
$848$	5.81549	+	5.03915i	0.199705	+	0.173045i
$849$	14.1974	−	48.0036i	0.487253	−	1.64748i
$850$		−	21.1089i		−	0.724030i
$851$	−11.4147	−	36.1765i	−0.391290	−	1.24011i
$852$	−0.0155375	+	7.92605i	−0.000532304	+	0.271542i
$853$	5.12089	−	17.4402i	0.175336	−	0.597140i	−0.824189	−	0.566315i	$-0.808369\pi$
$853$	5.12089	−	17.4402i	0.175336	−	0.597140i	0.999525	−	0.0308245i	$-0.00981329\pi$
$854$	7.21049	−	8.20676i	0.246738	−	0.280830i
$855$	9.41037	−	14.5174i	0.321828	−	0.496483i
$856$	−1.39056	+	9.67152i	−0.0475282	+	0.330566i
$857$	−15.2160	+	9.77874i	−0.519769	+	0.334035i	−0.774081	−	0.633087i	$-0.781788\pi$
$857$	−15.2160	+	9.77874i	−0.519769	+	0.334035i	0.254311	+	0.967122i	$0.418151\pi$
$858$	−47.7418	+	21.6899i	−1.62988	+	0.740482i
$859$	−20.7219	+	17.9556i	−0.707022	+	0.612638i	−0.932312	−	0.361654i	$-0.882212\pi$
$859$	−20.7219	+	17.9556i	−0.707022	+	0.612638i	0.225291	+	0.974292i	$0.427667\pi$
$860$	−1.65983	−	11.5444i	−0.0565998	−	0.393661i
$861$	13.0433	−	27.9062i	0.444515	−	0.951040i
$862$	33.3928	−	9.80501i	1.13736	−	0.333960i
$863$	−11.4066	−	38.8474i	−0.388286	−	1.32238i	−0.889452	−	0.457029i	$-0.848913\pi$
$863$	−11.4066	−	38.8474i	−0.388286	−	1.32238i	0.501166	−	0.865351i	$-0.332905\pi$
$864$	−4.71381	−	2.18632i	−0.160367	−	0.0743801i
$865$	−2.23616	−	15.5529i	−0.0760318	−	0.528813i
$866$	24.0340	+	27.7367i	0.816708	+	0.942532i
$867$	6.58713	+	14.4990i	0.223711	+	0.492410i
$868$	−4.81477	−	7.60630i	−0.163424	−	0.258175i
$869$	1.03862	+	0.149331i	0.0352329	+	0.00506572i
$870$	−7.95187	−	5.13241i	−0.269594	−	0.174005i
$871$	−4.00888	−	3.47371i	−0.135836	−	0.117702i
$872$	0.672164	−	2.28918i	0.0227623	−	0.0775214i
$873$	0.0687192	−	17.5276i	0.00232579	−	0.593220i
$874$	−22.7206	−	18.9038i	−0.768537	−	0.639431i
$875$	22.5889	+	0.155161i	0.763643	+	0.00524539i
$876$	3.70672	−	12.5330i	0.125238	−	0.423450i
$877$	−23.0255	+	26.5728i	−0.777516	+	0.897301i	−0.996927	−	0.0783311i	$-0.975041\pi$
$877$	−23.0255	+	26.5728i	−0.777516	+	0.897301i	0.219411	+	0.975632i	$0.429586\pi$
$878$	23.4507	+	15.0708i	0.791423	+	0.508617i
$879$	−4.02237	+	27.5921i	−0.135671	+	0.930658i
$880$	−2.25017	−	3.50134i	−0.0758534	−	0.118030i
$881$	−3.19131	−	6.98800i	−0.107518	−	0.235432i	0.848224	−	0.529638i	$-0.177672\pi$
$881$	−3.19131	−	6.98800i	−0.107518	−	0.235432i	−0.955742	+	0.294206i	$0.904945\pi$
$882$	−16.1111	+	13.4697i	−0.542489	+	0.453548i
$883$	1.29667	+	9.01855i	0.0436365	+	0.303499i	0.999938	+	0.0111168i	$0.00353867\pi$
$883$	1.29667	+	9.01855i	0.0436365	+	0.303499i	−0.956302	+	0.292382i	$0.905552\pi$
$884$	31.6882	+	14.4715i	1.06579	+	0.486730i
$885$	−12.6985	+	3.70160i	−0.426856	+	0.124428i
$886$	23.2469	−	6.82592i	0.780996	−	0.229321i
$887$	16.3401	−	35.7798i	0.548646	−	1.20137i	−0.408765	−	0.912640i	$-0.634040\pi$
$887$	16.3401	−	35.7798i	0.548646	−	1.20137i	0.957411	−	0.288728i	$-0.0932324\pi$
$888$	13.5647	−	1.92318i	0.455201	−	0.0645376i
$889$	−6.10242	−	7.14109i	−0.204669	−	0.239504i
$890$	4.55699	−	2.08111i	0.152751	−	0.0697590i
$891$	21.3778	+	33.8451i	0.716183	+	1.13385i
$892$	−1.56989	−	0.225716i	−0.0525638	−	0.00755753i
$893$	32.2073	−	50.1155i	1.07778	−	1.67705i
$894$	0.600189	−	0.689918i	0.0200733	−	0.0230743i
$895$	−4.24143	+	14.4450i	−0.141775	+	0.482842i
$896$	−0.0181730	+	2.64569i	−0.000607117	+	0.0883863i
$897$	−47.0036	+	31.4226i	−1.56941	+	1.04917i
$898$	30.5641			1.01994
$899$	19.0641	+	5.59772i	0.635823	+	0.186694i
$900$	−8.13934	+	9.31922i	−0.271311	+	0.310641i
$901$	−21.2922	+	33.1313i	−0.709347	+	1.10377i
$902$	−4.25504	+	29.5944i	−0.141677	+	0.985387i
$903$	48.3215	−	30.4549i	1.60804	−	1.01348i
$904$	1.85399	+	4.05968i	0.0616629	+	0.135023i
$905$	−14.3608	+	12.4437i	−0.477370	+	0.413644i
$906$	−20.9075	+	2.96423i	−0.694606	+	0.0984798i
$907$	4.58735	−	10.0449i	0.152320	−	0.333535i	−0.818054	−	0.575141i	$-0.804947\pi$
$907$	4.58735	−	10.0449i	0.152320	−	0.333535i	0.970374	+	0.241606i	$0.0776743\pi$
$908$	5.18423	−	1.52223i	0.172045	−	0.0505169i
$909$	29.5636	−	8.55491i	0.980564	−	0.283748i
$910$	−7.10531	+	15.2798i	−0.235539	+	0.506521i
$911$	17.5894	−	2.52897i	0.582762	−	0.0837886i	0.155372	−	0.987856i	$-0.450342\pi$
$911$	17.5894	−	2.52897i	0.582762	−	0.0837886i	0.427390	+	0.904067i	$0.359433\pi$
$912$	8.08095	−	6.97450i	0.267587	−	0.230949i
$913$	−8.46057	+	3.86381i	−0.280004	+	0.127874i
$914$	16.4963	+	25.6687i	0.545648	+	0.849045i
$915$	−6.62205	−	0.965361i	−0.218918	−	0.0319138i
$916$	−8.63599	+	13.4379i	−0.285341	+	0.444000i
$917$	−24.7086	+	28.1225i	−0.815948	+	0.928688i
$918$	7.64237	−	25.4724i	0.252236	−	0.840714i
$919$	−32.0810			−1.05826			−0.529128	−	0.848542i	$-0.677481\pi$
$919$	−32.0810			−1.05826			−0.529128	+	0.848542i	$0.677481\pi$
$920$	−3.00613	−	3.33193i	−0.0991093	−	0.109851i
$921$	0.0263528	−	13.4432i	0.000868354	−	0.442970i
$922$	5.60794	−	19.0989i	0.184688	−	0.628988i
$923$	−20.3973	+	23.5398i	−0.671387	+	0.774821i
$924$	11.1708	−	17.0492i	0.367492	−	0.560879i
$925$	4.64283	−	32.2916i	0.152655	−	1.06174i
$926$	18.4315	+	28.6800i	0.605698	+	0.942484i
$927$	11.1709	−	5.04874i	0.366900	−	0.165822i
$928$	−3.82409	−	4.41324i	−0.125532	−	0.144872i
$929$	0.419926	+	2.92065i	0.0137773	+	0.0958234i	0.995550	−	0.0942363i	$-0.0300409\pi$
$929$	0.419926	+	2.92065i	0.0137773	+	0.0958234i	−0.981773	+	0.190060i	$0.939132\pi$
$930$	−2.30063	+	5.01166i	−0.0754408	+	0.164339i
$931$	−11.5843	−	41.5561i	−0.379661	−	1.36195i
$932$	0.390399	+	1.32958i	0.0127880	+	0.0435518i
$933$	7.48387	−	16.3027i	0.245011	−	0.533728i
$934$	16.5340	−	2.37722i	0.541007	−	0.0777851i
$935$	16.0986	−	13.9496i	0.526482	−	0.456199i
$936$	−8.40976	−	18.6075i	−0.274881	−	0.608206i
$937$	−30.4610	−	47.3982i	−0.995117	−	1.54843i	−0.826644	−	0.562725i	$-0.809753\pi$
$937$	−30.4610	−	47.3982i	−0.995117	−	1.54843i	−0.168473	−	0.985706i	$-0.553884\pi$
$938$	2.03884	+	0.307449i	0.0665705	+	0.0100386i
$939$	−4.86476	+	7.53718i	−0.158755	+	0.245967i
$940$	5.92321	−	6.83575i	0.193194	−	0.222958i
$941$	−4.83906	−	1.42088i	−0.157749	−	0.0463192i	0.201905	−	0.979405i	$-0.435287\pi$
$941$	−4.83906	−	1.42088i	−0.157749	−	0.0463192i	−0.359653	+	0.933086i	$0.617105\pi$
$942$	0.984888	+	0.00193068i	0.0320894	+	6.29049e-5i
$943$	0.646048	+	32.2310i	0.0210382	+	1.04958i
$944$	−8.16114			−0.265623
$945$	12.2959	+	3.78133i	0.399985	+	0.123007i
$946$	−36.3052	+	41.8985i	−1.18039	+	1.36224i
$947$	4.17730	−	6.50000i	0.135744	−	0.211222i	−0.766726	−	0.641974i	$-0.778116\pi$
$947$	4.17730	−	6.50000i	0.135744	−	0.211222i	0.902470	+	0.430753i	$0.141752\pi$
$948$	−0.0589434	+	0.404332i	−0.00191439	+	0.0131321i
$949$	43.2073	−	27.7677i	1.40257	−	0.901377i
$950$	−10.5592	−	23.1215i	−0.342586	−	0.750159i
$951$	−14.0380	+	12.1159i	−0.455213	+	0.392885i
$952$	−13.4162	+	1.83499i	−0.434820	+	0.0594723i
$953$	6.30617	+	2.87993i	0.204277	+	0.0932902i	0.514926	−	0.857234i	$-0.327819\pi$
$953$	6.30617	+	2.87993i	0.204277	+	0.0932902i	−0.310649	+	0.950525i	$0.600547\pi$
$954$	22.1752	−	6.41690i	0.717949	−	0.207755i
$955$	−0.887393	−	3.02218i	−0.0287154	−	0.0977955i
$956$	−26.0959	−	11.9176i	−0.844001	−	0.385442i
$957$	6.31516	+	44.5426i	0.204140	+	1.43986i
$958$	4.02627	−	3.48878i	0.130083	−	0.112717i
$959$	−9.30614	+	4.17296i	−0.300511	+	0.134752i
$960$	1.36516	−	0.873560i	0.0440604	−	0.0281940i
$961$	−2.76421	+	19.2255i	−0.0891679	+	0.620177i
$962$	45.2924	+	29.1077i	1.46029	+	0.938470i
$963$	22.0778	+	19.2826i	0.711448	+	0.621373i
$964$	−0.897115	+	3.05529i	−0.0288941	+	0.0984044i
$965$	14.2281			0.458020
$966$	8.90496	−	20.0923i	0.286512	−	0.646460i
$967$	−7.23825			−0.232766			−0.116383	−	0.993204i	$-0.537130\pi$
$967$	−7.23825			−0.232766			−0.116383	+	0.993204i	$0.537130\pi$
$968$	−2.47473	+	8.42816i	−0.0795408	+	0.270891i
$969$	41.2184	+	35.8577i	1.32413	+	1.15191i
$970$	4.59921	+	2.95573i	0.147672	+	0.0949028i
$971$	−0.103481	+	0.719729i	−0.00332088	+	0.0230972i	−0.991415	−	0.130757i	$-0.958259\pi$
$971$	−0.103481	+	0.719729i	−0.00332088	+	0.0230972i	0.988094	+	0.153854i	$0.0491685\pi$
$972$	−13.1958	+	8.29882i	−0.423256	+	0.266185i
$973$	−19.9583	+	8.94947i	−0.639832	+	0.286907i
$974$	−23.0285	+	19.9543i	−0.737880	+	0.639377i
$975$	−48.1425	+	6.82555i	−1.54179	+	0.218592i
$976$	−3.75589	−	1.71526i	−0.120223	−	0.0549041i
$977$	7.41223	+	25.2437i	0.237138	+	0.807619i	0.988951	+	0.148242i	$0.0473615\pi$
$977$	7.41223	+	25.2437i	0.237138	+	0.807619i	−0.751813	+	0.659377i	$0.770820\pi$
$978$	−7.93879	−	27.2344i	−0.253854	−	0.870860i
$979$	−21.6613	−	9.89239i	−0.692298	−	0.316162i
$980$	−0.843026	−	6.49564i	−0.0269295	−	0.207495i
$981$	−4.66590	−	5.42759i	−0.148971	−	0.173289i
$982$	−2.33975	−	5.12334i	−0.0746645	−	0.163493i
$983$	−44.2877	+	28.4620i	−1.41256	+	0.907796i	−0.999995	−	0.00313275i	$-0.999003\pi$
$983$	−44.2877	+	28.4620i	−1.41256	+	0.907796i	−0.412563	+	0.910929i	$0.635366\pi$
$984$	−11.5210	−	1.67953i	−0.367277	−	0.0535415i
$985$	9.05473	−	14.0894i	0.288508	−	0.448927i
$986$	19.5719	−	22.5872i	0.623296	−	0.719321i
$987$	42.3901	+	12.8545i	1.34929	+	0.409162i
$988$	41.9484			1.33456
$989$	−31.3031	+	50.9244i	−0.995382	+	1.61930i
$990$	−12.4861	−	0.0489531i	−0.396833	−	0.00155583i
$991$	40.8783	+	12.0030i	1.29854	+	0.381287i	0.856704	−	0.515808i	$-0.172508\pi$
$991$	40.8783	+	12.0030i	1.29854	+	0.381287i	0.441839	+	0.897095i	$0.354326\pi$
$992$	−2.22815	+	2.57142i	−0.0707437	+	0.0816426i
$993$	−23.1921	−	14.9690i	−0.735980	−	0.475027i
$994$	1.80532	−	11.9719i	0.0572612	−	0.379726i
$995$	−10.4538	−	16.2665i	−0.331409	−	0.515683i
$996$	−1.49813	−	3.29755i	−0.0474702	−	0.104487i
$997$	−8.69658	+	7.53563i	−0.275423	+	0.238656i	−0.781609	−	0.623769i	$-0.785601\pi$
$997$	−8.69658	+	7.53563i	−0.275423	+	0.238656i	0.506185	+	0.862425i	$0.331055\pi$
$998$	36.1887	−	5.20315i	1.14553	−	0.164703i
$999$	17.2936	−	37.2858i	0.547144	−	1.17967i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.t.a.41.9	✓	640
3.2	odd	2	inner	966.2.t.a.41.55	yes	640
7.6	odd	2	inner	966.2.t.a.41.24	yes	640
21.20	even	2	inner	966.2.t.a.41.42	yes	640
23.9	even	11	inner	966.2.t.a.377.42	yes	640
69.32	odd	22	inner	966.2.t.a.377.24	yes	640
161.55	odd	22	inner	966.2.t.a.377.55	yes	640
483.377	even	22	inner	966.2.t.a.377.9	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.t.a.41.9	✓	640	1.1	even	1	trivial
966.2.t.a.41.24	yes	640	7.6	odd	2	inner
966.2.t.a.41.42	yes	640	21.20	even	2	inner
966.2.t.a.41.55	yes	640	3.2	odd	2	inner
966.2.t.a.377.9	yes	640	483.377	even	22	inner
966.2.t.a.377.24	yes	640	69.32	odd	22	inner
966.2.t.a.377.42	yes	640	23.9	even	11	inner
966.2.t.a.377.55	yes	640	161.55	odd	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.281733 + 0.959493i) q^{2} +(-1.13682 + 1.30677i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.133168 - 0.926206i) q^{5} +(-0.933559 - 1.45893i) q^{6} +(1.08253 + 2.41415i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-0.415299 - 2.97112i) q^{9} +O(q^{10})\)	\(q+(-0.281733 + 0.959493i) q^{2} +(-1.13682 + 1.30677i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.133168 - 0.926206i) q^{5} +(-0.933559 - 1.45893i) q^{6} +(1.08253 + 2.41415i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-0.415299 - 2.97112i) q^{9} +(0.851170 + 0.388716i) q^{10} +(-1.25312 - 4.26775i) q^{11} +(1.66284 - 0.484716i) q^{12} +(6.19147 + 2.82755i) q^{13} +(-2.62135 + 0.358533i) q^{14} +(1.05895 + 1.22695i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-4.30557 + 2.76702i) q^{17} +(2.96777 + 0.438583i) q^{18} +(-3.33194 + 5.18459i) q^{19} +(-0.612773 + 0.707178i) q^{20} +(-4.38538 - 1.32983i) q^{21} +4.44792 q^{22} +(4.73239 - 0.777513i) q^{23} +(-0.00339534 + 1.73205i) q^{24} +(3.95734 + 1.16198i) q^{25} +(-4.45735 + 5.14406i) q^{26} +(4.35469 + 2.83491i) q^{27} +(0.394509 - 2.61617i) q^{28} +(3.15710 + 4.91254i) q^{29} +(-1.47559 + 0.670385i) q^{30} +(2.57142 - 2.22815i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(7.00153 + 3.21410i) q^{33} +(-1.44192 - 4.91073i) q^{34} +(2.38016 - 0.681155i) q^{35} +(-1.25693 + 2.72399i) q^{36} +(-1.12570 - 7.82939i) q^{37} +(-4.03587 - 4.65764i) q^{38} +(-10.7335 + 4.87643i) q^{39} +(-0.505894 - 0.787186i) q^{40} +(-0.956636 + 6.65355i) q^{41} +(2.51147 - 3.83308i) q^{42} +(-8.16230 + 9.41980i) q^{43} +(-1.25312 + 4.26775i) q^{44} +(-2.80717 - 0.0110058i) q^{45} +(-0.587249 + 4.75974i) q^{46} -9.66624 q^{47} +(-1.66093 - 0.491232i) q^{48} +(-4.65627 + 5.22678i) q^{49} +(-2.22982 + 3.46967i) q^{50} +(1.27878 - 8.77199i) q^{51} +(-3.67991 - 5.72604i) q^{52} +(6.99961 - 3.19662i) q^{53} +(-3.94693 + 3.37960i) q^{54} +(-4.11969 + 0.592322i) q^{55} +(2.39905 + 1.11559i) q^{56} +(-2.98728 - 10.2480i) q^{57} +(-5.60301 + 1.64519i) q^{58} +(-3.39026 + 7.42364i) q^{59} +(-0.227509 - 1.60468i) q^{60} +(-3.12051 + 2.70394i) q^{61} +(1.41344 + 3.09500i) q^{62} +(6.72315 - 4.21891i) q^{63} +(0.142315 - 0.989821i) q^{64} +(3.44340 - 5.35803i) q^{65} +(-5.05646 + 5.81241i) q^{66} +(-0.747754 - 0.219560i) q^{67} +5.11804 q^{68} +(-4.36382 + 7.06803i) q^{69} +(-0.0170050 + 2.47565i) q^{70} +(-1.28924 + 4.39075i) q^{71} +(-2.25953 - 1.97346i) q^{72} +(4.07954 - 6.34789i) q^{73} +(7.82939 + 1.12570i) q^{74} +(-6.01721 + 3.85038i) q^{75} +(5.60600 - 2.56018i) q^{76} +(8.94645 - 7.64518i) q^{77} +(-1.65492 - 11.6726i) q^{78} +(-0.0980001 + 0.214590i) q^{79} +(0.897827 - 0.263626i) q^{80} +(-8.65505 + 2.46780i) q^{81} +(-6.11452 - 2.79241i) q^{82} +(-0.297596 - 2.06983i) q^{83} +(2.97025 + 3.48964i) q^{84} +(1.98947 + 4.35633i) q^{85} +(-6.73864 - 10.4855i) q^{86} +(-10.0086 - 1.45905i) q^{87} +(-3.74183 - 2.40473i) q^{88} +(3.50599 - 4.04613i) q^{89} +(0.801431 - 2.69036i) q^{90} +(-0.123696 + 18.0080i) q^{91} +(-4.40149 - 1.90444i) q^{92} +(-0.0115525 + 5.89325i) q^{93} +(2.72329 - 9.27469i) q^{94} +(4.35829 + 3.77648i) q^{95} +(0.939272 - 1.45526i) q^{96} +(5.78312 + 0.831487i) q^{97} +(-3.70323 - 5.94021i) q^{98} +(-12.1595 + 5.49556i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q + 64 q^{4} + 8 q^{9}+O(q^{10}) \) 640 * q + 64 * q^4 + 8 * q^9	\( 640 q + 64 q^{4} + 8 q^{9} + 8 q^{15} - 64 q^{16} + 20 q^{18} + 54 q^{21} - 8 q^{22} - 56 q^{25} - 44 q^{30} - 8 q^{36} + 20 q^{37} - 16 q^{39} - 4 q^{42} - 28 q^{43} + 24 q^{46} - 68 q^{49} - 40 q^{51} + 32 q^{57} - 80 q^{58} - 8 q^{60} + 86 q^{63} + 64 q^{64} + 24 q^{67} + 72 q^{70} - 64 q^{72} - 8 q^{78} - 144 q^{79} + 20 q^{81} + 34 q^{84} + 32 q^{85} + 8 q^{88} - 40 q^{91} + 16 q^{93} + 68 q^{99}+O(q^{100}) \) 640 * q + 64 * q^4 + 8 * q^9 + 8 * q^15 - 64 * q^16 + 20 * q^18 + 54 * q^21 - 8 * q^22 - 56 * q^25 - 44 * q^30 - 8 * q^36 + 20 * q^37 - 16 * q^39 - 4 * q^42 - 28 * q^43 + 24 * q^46 - 68 * q^49 - 40 * q^51 + 32 * q^57 - 80 * q^58 - 8 * q^60 + 86 * q^63 + 64 * q^64 + 24 * q^67 + 72 * q^70 - 64 * q^72 - 8 * q^78 - 144 * q^79 + 20 * q^81 + 34 * q^84 + 32 * q^85 + 8 * q^88 - 40 * q^91 + 16 * q^93 + 68 * q^99

Introduction

L-functions

Modular forms

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