LMFDB - Embedded newform 287.2.s.a.16.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(16,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([10, 18]))

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

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

chi := DirichletCharacter("287.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.s (of order $15$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$208$
Relative dimension:	$26$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			16.11
Character	$\chi$	$=$	287.16
Dual form			287.2.s.a.18.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.351292 - 0.390150i) q^{2} +(-1.33649 - 2.31487i) q^{3} +(0.180246 - 1.71493i) q^{4} +(-2.89925 + 1.29083i) q^{5} +(-0.433647 + 1.33463i) q^{6} +(0.722046 - 2.54532i) q^{7} +(-1.58186 + 1.14929i) q^{8} +(-2.07241 + 3.58953i) q^{9} +O(q^{10})$	\(q+(-0.351292 - 0.390150i) q^{2} +(-1.33649 - 2.31487i) q^{3} +(0.180246 - 1.71493i) q^{4} +(-2.89925 + 1.29083i) q^{5} +(-0.433647 + 1.33463i) q^{6} +(0.722046 - 2.54532i) q^{7} +(-1.58186 + 1.14929i) q^{8} +(-2.07241 + 3.58953i) q^{9} +(1.52210 + 0.677683i) q^{10} +(1.55870 + 0.693977i) q^{11} +(-4.21074 + 1.87474i) q^{12} +(0.169258 - 0.520921i) q^{13} +(-1.24670 + 0.612445i) q^{14} +(6.86292 + 4.98621i) q^{15} +(-2.36930 - 0.503610i) q^{16} +(0.421006 + 0.187444i) q^{17} +(2.12848 - 0.452422i) q^{18} +(-2.29036 - 0.486830i) q^{19} +(1.69110 + 5.20468i) q^{20} +(-6.85709 + 1.73035i) q^{21} +(-0.276803 - 0.851914i) q^{22} +(6.26698 + 6.96018i) q^{23} +(4.77461 + 2.12579i) q^{24} +(3.39376 - 3.76915i) q^{25} +(-0.262696 + 0.116960i) q^{26} +3.06011 q^{27} +(-4.23490 - 1.69704i) q^{28} +(-8.13700 - 5.91187i) q^{29} +(-0.465526 - 4.42918i) q^{30} +(-4.32126 - 1.92395i) q^{31} +(2.59112 + 4.48796i) q^{32} +(-0.476718 - 4.53567i) q^{33} +(-0.0747651 - 0.230103i) q^{34} +(1.19218 + 8.31156i) q^{35} +(5.78225 + 4.20105i) q^{36} +(1.39819 - 0.622513i) q^{37} +(0.614648 + 1.06460i) q^{38} +(-1.43208 + 0.304397i) q^{39} +(3.10268 - 5.37400i) q^{40} +(-3.40308 - 5.42393i) q^{41} +(3.08394 + 2.06743i) q^{42} +(-0.536462 + 1.65106i) q^{43} +(1.47107 - 2.54797i) q^{44} +(1.37498 - 13.0821i) q^{45} +(0.513972 - 4.89012i) q^{46} +(-4.17704 - 4.63907i) q^{47} +(2.00075 + 6.15769i) q^{48} +(-5.95730 - 3.67568i) q^{49} -2.66273 q^{50} +(-0.128762 - 1.22509i) q^{51} +(-0.862836 - 0.384159i) q^{52} +(0.788762 - 7.50457i) q^{53} +(-1.07499 - 1.19390i) q^{54} -5.41486 q^{55} +(1.78313 + 4.85619i) q^{56} +(1.93409 + 5.95252i) q^{57} +(0.551949 + 5.25144i) q^{58} +(-9.47005 + 2.01292i) q^{59} +(9.78802 - 10.8707i) q^{60} +(-2.38730 - 0.507437i) q^{61} +(0.767398 + 2.36181i) q^{62} +(7.64011 + 7.86676i) q^{63} +(-0.656287 + 2.01984i) q^{64} +(0.181700 + 1.72876i) q^{65} +(-1.60212 + 1.77934i) q^{66} +(1.01342 - 9.64204i) q^{67} +(0.397339 - 0.688211i) q^{68} +(7.73616 - 23.8095i) q^{69} +(2.82395 - 3.38491i) q^{70} +(5.07415 - 3.68658i) q^{71} +(-0.847135 - 8.05995i) q^{72} +(7.93892 + 13.7506i) q^{73} +(-0.734046 - 0.326818i) q^{74} +(-13.2608 - 2.81868i) q^{75} +(-1.24771 + 3.84005i) q^{76} +(2.89184 - 3.46630i) q^{77} +(0.621838 + 0.451792i) q^{78} +(2.03006 - 3.51616i) q^{79} +(7.51926 - 1.59827i) q^{80} +(2.12744 + 3.68483i) q^{81} +(-0.920667 + 3.23310i) q^{82} +9.74062 q^{83} +(1.73147 + 12.0713i) q^{84} -1.46256 q^{85} +(0.832615 - 0.370704i) q^{86} +(-2.81020 + 26.7372i) q^{87} +(-3.26323 + 0.693620i) q^{88} +(-1.47918 - 0.314410i) q^{89} +(-5.58699 + 4.05918i) q^{90} +(-1.20370 - 0.806944i) q^{91} +(13.0658 - 9.49288i) q^{92} +(1.32163 + 12.5745i) q^{93} +(-0.342570 + 3.25934i) q^{94} +(7.26873 - 1.54502i) q^{95} +(6.92603 - 11.9962i) q^{96} +(-7.04703 - 5.11997i) q^{97} +(0.658689 + 3.61547i) q^{98} +(-5.72131 + 4.15678i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 208 q - 3 q^{2} - 8 q^{3} + 21 q^{4} - 7 q^{5} - 8 q^{6} - 6 q^{7} - 32 q^{8} - 92 q^{9}+O(q^{10}) $ 208 * q - 3 * q^2 - 8 * q^3 + 21 * q^4 - 7 * q^5 - 8 * q^6 - 6 * q^7 - 32 * q^8 - 92 * q^9	\( 208 q - 3 q^{2} - 8 q^{3} + 21 q^{4} - 7 q^{5} - 8 q^{6} - 6 q^{7} - 32 q^{8} - 92 q^{9} - 24 q^{10} + q^{11} + 19 q^{12} - 12 q^{13} - 62 q^{14} - 6 q^{15} + 21 q^{16} + 3 q^{17} + q^{19} - 48 q^{20} + 20 q^{21} - 68 q^{22} - 6 q^{23} - 18 q^{24} + 3 q^{25} + 15 q^{26} + 28 q^{27} - 11 q^{28} + 44 q^{29} - 5 q^{30} - 11 q^{31} - 6 q^{32} + 10 q^{33} - 108 q^{34} - 30 q^{35} + 66 q^{36} - 32 q^{37} - 10 q^{38} - 2 q^{39} + 70 q^{40} - 6 q^{41} + 24 q^{42} - 8 q^{43} - 68 q^{44} + 12 q^{45} - 66 q^{46} + 31 q^{47} + 110 q^{48} + 10 q^{49} + 64 q^{50} - 2 q^{51} + 69 q^{52} - 42 q^{53} + 43 q^{54} - 80 q^{55} + 10 q^{56} - 30 q^{57} - q^{58} - 29 q^{59} + 22 q^{60} - 9 q^{61} + 30 q^{62} + 54 q^{63} - 4 q^{64} - 14 q^{65} + 78 q^{66} + q^{67} - 42 q^{68} + 46 q^{69} - 179 q^{70} - 10 q^{71} - 13 q^{72} + 30 q^{73} + 61 q^{74} + 52 q^{75} + 118 q^{76} - 56 q^{77} - 94 q^{78} + 2 q^{79} - 17 q^{80} - 16 q^{81} - 21 q^{82} - 208 q^{83} - 33 q^{84} + 36 q^{85} + 39 q^{86} + 10 q^{87} + 24 q^{88} - 89 q^{89} + 242 q^{90} + 18 q^{91} - 10 q^{92} + 71 q^{93} + 81 q^{94} - 83 q^{95} - 64 q^{96} - 24 q^{97} + 26 q^{98} - 12 q^{99}+O(q^{100}) \) 208 * q - 3 * q^2 - 8 * q^3 + 21 * q^4 - 7 * q^5 - 8 * q^6 - 6 * q^7 - 32 * q^8 - 92 * q^9 - 24 * q^10 + q^11 + 19 * q^12 - 12 * q^13 - 62 * q^14 - 6 * q^15 + 21 * q^16 + 3 * q^17 + q^19 - 48 * q^20 + 20 * q^21 - 68 * q^22 - 6 * q^23 - 18 * q^24 + 3 * q^25 + 15 * q^26 + 28 * q^27 - 11 * q^28 + 44 * q^29 - 5 * q^30 - 11 * q^31 - 6 * q^32 + 10 * q^33 - 108 * q^34 - 30 * q^35 + 66 * q^36 - 32 * q^37 - 10 * q^38 - 2 * q^39 + 70 * q^40 - 6 * q^41 + 24 * q^42 - 8 * q^43 - 68 * q^44 + 12 * q^45 - 66 * q^46 + 31 * q^47 + 110 * q^48 + 10 * q^49 + 64 * q^50 - 2 * q^51 + 69 * q^52 - 42 * q^53 + 43 * q^54 - 80 * q^55 + 10 * q^56 - 30 * q^57 - q^58 - 29 * q^59 + 22 * q^60 - 9 * q^61 + 30 * q^62 + 54 * q^63 - 4 * q^64 - 14 * q^65 + 78 * q^66 + q^67 - 42 * q^68 + 46 * q^69 - 179 * q^70 - 10 * q^71 - 13 * q^72 + 30 * q^73 + 61 * q^74 + 52 * q^75 + 118 * q^76 - 56 * q^77 - 94 * q^78 + 2 * q^79 - 17 * q^80 - 16 * q^81 - 21 * q^82 - 208 * q^83 - 33 * q^84 + 36 * q^85 + 39 * q^86 + 10 * q^87 + 24 * q^88 - 89 * q^89 + 242 * q^90 + 18 * q^91 - 10 * q^92 + 71 * q^93 + 81 * q^94 - 83 * q^95 - 64 * q^96 - 24 * q^97 + 26 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{3}{5}\right)$

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 $

$2$	−0.351292	−	0.390150i	−0.248401	−	0.275877i	0.606030	−	0.795442i	$-0.292761\pi$
$2$	−0.351292	−	0.390150i	−0.248401	−	0.275877i	−0.854431	+	0.519564i	$0.826094\pi$
$3$	−1.33649	−	2.31487i	−0.771623	−	1.33649i	−0.936673	−	0.350205i	$-0.886112\pi$
$3$	−1.33649	−	2.31487i	−0.771623	−	1.33649i	0.165050	−	0.986285i	$-0.447222\pi$
$4$	0.180246	−	1.71493i	0.0901232	−	0.857465i
$5$	−2.89925	+	1.29083i	−1.29658	+	0.577276i	−0.934863	−	0.355010i	$-0.884478\pi$
$5$	−2.89925	+	1.29083i	−1.29658	+	0.577276i	−0.361722	+	0.932286i	$0.617811\pi$
$6$	−0.433647	+	1.33463i	−0.177036	+	0.544859i
$7$	0.722046	−	2.54532i	0.272908	−	0.962040i
$7$	0.722046	−	2.54532i	0.272908	−	0.962040i
$8$	−1.58186	+	1.14929i	−0.559273	+	0.406336i
$9$	−2.07241	+	3.58953i	−0.690805	+	1.19651i
$10$	1.52210	+	0.677683i	0.481331	+	0.214302i
$11$	1.55870	+	0.693977i	0.469965	+	0.209242i	0.628033	−	0.778186i	$-0.283860\pi$
$11$	1.55870	+	0.693977i	0.469965	+	0.209242i	−0.158069	+	0.987428i	$0.550527\pi$
$12$	−4.21074	+	1.87474i	−1.21554	+	0.541191i
$13$	0.169258	−	0.520921i	0.0469436	−	0.144478i	−0.924837	−	0.380363i	$-0.875799\pi$
$13$	0.169258	−	0.520921i	0.0469436	−	0.144478i	0.971781	+	0.235885i	$0.0757990\pi$
$14$	−1.24670	+	0.612445i	−0.333196	+	0.163683i
$15$	6.86292	+	4.98621i	1.77200	+	1.28743i
$16$	−2.36930	−	0.503610i	−0.592325	−	0.125902i
$17$	0.421006	+	0.187444i	0.102109	+	0.0454619i	0.457156	−	0.889387i	$-0.348868\pi$
$17$	0.421006	+	0.187444i	0.102109	+	0.0454619i	−0.355046	+	0.934849i	$0.615535\pi$
$18$	2.12848	−	0.452422i	0.501687	−	0.106637i
$19$	−2.29036	−	0.486830i	−0.525444	−	0.111687i	−0.0624500	−	0.998048i	$-0.519891\pi$
$19$	−2.29036	−	0.486830i	−0.525444	−	0.111687i	−0.462994	+	0.886362i	$0.653225\pi$
$20$	1.69110	+	5.20468i	0.378142	+	1.16380i
$21$	−6.85709	+	1.73035i	−1.49634	+	0.377594i
$22$	−0.276803	−	0.851914i	−0.0590147	−	0.181629i
$23$	6.26698	+	6.96018i	1.30675	+	1.45130i	0.813682	+	0.581310i	$0.197460\pi$
$23$	6.26698	+	6.96018i	1.30675	+	1.45130i	0.493073	+	0.869988i	$0.335874\pi$
$24$	4.77461	+	2.12579i	0.974612	+	0.433925i
$25$	3.39376	−	3.76915i	0.678752	−	0.753830i
$26$	−0.262696	+	0.116960i	−0.0515190	+	0.0229377i
$27$	3.06011			0.588918
$28$	−4.23490	−	1.69704i	−0.800321	−	0.320711i
$29$	−8.13700	−	5.91187i	−1.51100	−	1.09781i	−0.965730	−	0.259548i	$-0.916426\pi$
$29$	−8.13700	−	5.91187i	−1.51100	−	1.09781i	−0.545272	−	0.838259i	$-0.683574\pi$
$30$	−0.465526	−	4.42918i	−0.0849930	−	0.808654i
$31$	−4.32126	−	1.92395i	−0.776122	−	0.345552i	−0.0198448	−	0.999803i	$-0.506317\pi$
$31$	−4.32126	−	1.92395i	−0.776122	−	0.345552i	−0.756277	+	0.654251i	$0.772984\pi$
$32$	2.59112	+	4.48796i	0.458050	+	0.793366i
$33$	−0.476718	−	4.53567i	−0.0829860	−	0.789559i
$34$	−0.0747651	−	0.230103i	−0.0128221	−	0.0394624i
$35$	1.19218	+	8.31156i	0.201515	+	1.40491i
$36$	5.78225	+	4.20105i	0.963708	+	0.700175i
$37$	1.39819	−	0.622513i	0.229861	−	0.102341i	−0.288575	−	0.957457i	$-0.593181\pi$
$37$	1.39819	−	0.622513i	0.229861	−	0.102341i	0.518435	+	0.855117i	$0.326515\pi$
$38$	0.614648	+	1.06460i	0.0997090	+	0.172701i
$39$	−1.43208	+	0.304397i	−0.229316	+	0.0487426i
$40$	3.10268	−	5.37400i	0.490577	−	0.849704i
$41$	−3.40308	−	5.42393i	−0.531473	−	0.847076i
$41$	−3.40308	−	5.42393i	−0.531473	−	0.847076i
$42$	3.08394	+	2.06743i	0.475862	+	0.319012i
$43$	−0.536462	+	1.65106i	−0.0818097	+	0.251784i	−0.983592	−	0.180406i	$-0.942259\pi$
$43$	−0.536462	+	1.65106i	−0.0818097	+	0.251784i	0.901783	+	0.432190i	$0.142259\pi$
$44$	1.47107	−	2.54797i	0.221772	−	0.384121i
$45$	1.37498	−	13.0821i	0.204970	−	1.95016i
$46$	0.513972	−	4.89012i	0.0757810	−	0.721008i
$47$	−4.17704	−	4.63907i	−0.609283	−	0.676678i	0.357016	−	0.934098i	$-0.383794\pi$
$47$	−4.17704	−	4.63907i	−0.609283	−	0.676678i	−0.966299	+	0.257421i	$0.917127\pi$
$48$	2.00075	+	6.15769i	0.288784	+	0.888786i
$49$	−5.95730	−	3.67568i	−0.851043	−	0.525097i
$50$	−2.66273			−0.376568
$51$	−0.128762	−	1.22509i	−0.0180303	−	0.171547i
$52$	−0.862836	−	0.384159i	−0.119654	−	0.0532733i
$53$	0.788762	−	7.50457i	0.108345	−	1.03083i	−0.796369	−	0.604811i	$-0.793249\pi$
$53$	0.788762	−	7.50457i	0.108345	−	1.03083i	0.904714	−	0.426020i	$-0.140085\pi$
$54$	−1.07499	−	1.19390i	−0.146288	−	0.162469i
$55$	−5.41486			−0.730139
$56$	1.78313	+	4.85619i	0.238281	+	0.648936i
$57$	1.93409	+	5.95252i	0.256177	+	0.788431i
$58$	0.551949	+	5.25144i	0.0724744	+	0.689548i
$59$	−9.47005	+	2.01292i	−1.23290	+	0.262060i	−0.777874	−	0.628421i	$-0.783702\pi$
$59$	−9.47005	+	2.01292i	−1.23290	+	0.262060i	−0.455021	+	0.890481i	$0.650368\pi$
$60$	9.78802	−	10.8707i	1.26363	−	1.40340i
$61$	−2.38730	−	0.507437i	−0.305663	−	0.0649706i	0.0525268	−	0.998620i	$-0.483272\pi$
$61$	−2.38730	−	0.507437i	−0.305663	−	0.0649706i	−0.358190	+	0.933649i	$0.616606\pi$
$62$	0.767398	+	2.36181i	0.0974597	+	0.299950i
$63$	7.64011	+	7.86676i	0.962564	+	0.991119i
$64$	−0.656287	+	2.01984i	−0.0820359	+	0.252481i
$65$	0.181700	+	1.72876i	0.0225372	+	0.214427i
$66$	−1.60212	+	1.77934i	−0.197208	+	0.219021i
$67$	1.01342	−	9.64204i	0.123809	−	1.17796i	−0.739454	−	0.673208i	$-0.764916\pi$
$67$	1.01342	−	9.64204i	0.123809	−	1.17796i	0.863262	−	0.504755i	$-0.168417\pi$
$68$	0.397339	−	0.688211i	0.0481844	−	0.0834578i
$69$	7.73616	−	23.8095i	0.931324	−	2.86632i
$70$	2.82395	−	3.38491i	0.337526	−	0.404575i
$71$	5.07415	−	3.68658i	0.602191	−	0.437517i	−0.244465	−	0.969658i	$-0.578612\pi$
$71$	5.07415	−	3.68658i	0.602191	−	0.437517i	0.846656	+	0.532141i	$0.178612\pi$
$72$	−0.847135	−	8.05995i	−0.0998358	−	0.949874i
$73$	7.93892	+	13.7506i	0.929180	+	1.60939i	0.784697	+	0.619880i	$0.212819\pi$
$73$	7.93892	+	13.7506i	0.929180	+	1.60939i	0.144483	+	0.989507i	$0.453848\pi$
$74$	−0.734046	−	0.326818i	−0.0853311	−	0.0379919i
$75$	−13.2608	−	2.81868i	−1.53123	−	0.325473i
$76$	−1.24771	+	3.84005i	−0.143122	+	0.440484i
$77$	2.89184	−	3.46630i	0.329556	−	0.395021i
$78$	0.621838	+	0.451792i	0.0704093	+	0.0511553i
$79$	2.03006	−	3.51616i	0.228399	−	0.395599i	−0.728934	−	0.684583i	$-0.759984\pi$
$79$	2.03006	−	3.51616i	0.228399	−	0.395599i	0.957334	+	0.288984i	$0.0933175\pi$
$80$	7.51926	−	1.59827i	0.840679	−	0.178692i
$81$	2.12744	+	3.68483i	0.236382	+	0.409426i
$82$	−0.920667	+	3.23310i	−0.101671	+	0.357036i
$83$	9.74062			1.06917			0.534586	−	0.845114i	$-0.320467\pi$
$83$	9.74062			1.06917			0.534586	+	0.845114i	$0.320467\pi$
$84$	1.73147	+	12.0713i	0.188919	+	1.31709i
$85$	−1.46256			−0.158637
$86$	0.832615	−	0.370704i	0.0897832	−	0.0399741i
$87$	−2.81020	+	26.7372i	−0.301285	+	2.86653i
$88$	−3.26323	+	0.693620i	−0.347861	+	0.0739402i
$89$	−1.47918	−	0.314410i	−0.156793	−	0.0333274i	0.128846	−	0.991665i	$-0.458873\pi$
$89$	−1.47918	−	0.314410i	−0.156793	−	0.0333274i	−0.285639	+	0.958337i	$0.592206\pi$
$90$	−5.58699	+	4.05918i	−0.588920	+	0.427876i
$91$	−1.20370	−	0.806944i	−0.126182	−	0.0845907i
$92$	13.0658	−	9.49288i	1.36221	−	0.989701i
$93$	1.32163	+	12.5745i	0.137047	+	1.30392i
$94$	−0.342570	+	3.25934i	−0.0353334	+	0.336175i
$95$	7.26873	−	1.54502i	0.745756	−	0.158515i
$96$	6.92603	−	11.9962i	0.706885	−	1.22436i
$97$	−7.04703	−	5.11997i	−0.715517	−	0.519854i	0.169432	−	0.985542i	$-0.445807\pi$
$97$	−7.04703	−	5.11997i	−0.715517	−	0.519854i	−0.884949	+	0.465688i	$0.845807\pi$
$98$	0.658689	+	3.61547i	0.0665376	+	0.365218i
$99$	−5.72131	+	4.15678i	−0.575014	+	0.417772i
$100$	−5.85212	−	6.49944i	−0.585212	−	0.649944i
$101$	0.272818	−	0.302995i	0.0271464	−	0.0301491i	−0.729419	−	0.684067i	$-0.760209\pi$
$101$	0.272818	−	0.302995i	0.0271464	−	0.0301491i	0.756565	+	0.653918i	$0.226876\pi$
$102$	−0.432736	+	0.480602i	−0.0428473	+	0.0475867i
$103$	13.9953	+	2.97480i	1.37900	+	0.293116i	0.836973	−	0.547245i	$-0.184323\pi$
$103$	13.9953	+	2.97480i	1.37900	+	0.293116i	0.542028	+	0.840360i	$0.317657\pi$
$104$	0.330948	+	1.01855i	0.0324521	+	0.0998773i
$105$	17.6468	−	13.8681i	1.72215	−	1.35338i
$106$	−3.20499	+	2.32856i	−0.311296	+	0.226170i
$107$	−13.0238	−	2.76829i	−1.25905	−	0.267620i	−0.470398	−	0.882454i	$-0.655890\pi$
$107$	−13.0238	−	2.76829i	−1.25905	−	0.267620i	−0.788656	+	0.614834i	$0.789223\pi$
$108$	0.551574	−	5.24787i	0.0530752	−	0.504977i
$109$	0.290378	+	0.502949i	0.0278132	+	0.0481738i	0.879597	−	0.475720i	$-0.157812\pi$
$109$	0.290378	+	0.502949i	0.0278132	+	0.0481738i	−0.851784	+	0.523893i	$0.824479\pi$
$110$	1.90220	+	2.11260i	0.181367	+	0.201429i
$111$	−3.30970	−	2.40464i	−0.314143	−	0.228238i
$112$	−2.99259	+	5.66699i	−0.282773	+	0.535480i
$113$	−4.49151	+	3.26328i	−0.422526	+	0.306983i	−0.778653	−	0.627454i	$-0.784097\pi$
$113$	−4.49151	+	3.26328i	−0.422526	+	0.306983i	0.356127	+	0.934437i	$0.384097\pi$
$114$	1.64294	−	2.84566i	0.153876	−	0.266520i
$115$	−27.1539	−	12.0897i	−2.53212	−	1.12737i
$116$	−11.6051	+	12.8888i	−1.07751	+	1.19669i
$117$	1.51909	+	1.68712i	0.140440	+	0.155974i
$118$	4.11209	+	2.98761i	0.378549	+	0.275032i
$119$	0.781091	−	0.936252i	0.0716025	−	0.0858261i
$120$	−16.5868			−1.51416
$121$	−5.41250	−	6.01119i	−0.492046	−	0.546472i
$122$	0.640665	+	1.10966i	0.0580030	+	0.100464i
$123$	−8.00750	+	15.1267i	−0.722012	+	1.36393i
$124$	−4.07834	+	7.06388i	−0.366245	+	0.634356i
$125$	−0.0705067	+	0.216997i	−0.00630631	+	0.0194088i
$126$	0.385301	−	5.74432i	0.0343254	−	0.511745i
$127$	−8.21561	−	5.96899i	−0.729017	−	0.529662i	0.160235	−	0.987079i	$-0.448775\pi$
$127$	−8.21561	−	5.96899i	−0.729017	−	0.529662i	−0.889252	+	0.457417i	$0.848775\pi$
$128$	10.4870	−	4.66913i	0.926931	−	0.412696i
$129$	4.53897	−	0.964787i	0.399634	−	0.0849448i
$130$	0.610647	−	0.678192i	0.0535573	−	0.0594814i
$131$	1.02032	+	9.70768i	0.0891457	+	0.848164i	0.944144	+	0.329533i	$0.106891\pi$
$131$	1.02032	+	9.70768i	0.0891457	+	0.848164i	−0.854998	+	0.518631i	$0.826442\pi$
$132$	−7.86429			−0.684499
$133$	−2.89288	+	5.47817i	−0.250845	+	0.475018i
$134$	−4.11785	+	2.99179i	−0.355728	+	0.258451i
$135$	−8.87202	+	3.95008i	−0.763582	+	0.339969i
$136$	−0.881403	+	0.187348i	−0.0755797	+	0.0160650i
$137$	−5.91893	−	10.2519i	−0.505689	−	0.875878i	−0.999978	−	0.00658118i	$-0.997905\pi$
$137$	−5.91893	−	10.2519i	−0.505689	−	0.875878i	0.494290	−	0.869297i	$-0.335428\pi$
$138$	−12.0069	+	5.34582i	−1.02210	+	0.455066i
$139$	−1.91514	−	5.89419i	−0.162440	−	0.499939i	0.836399	−	0.548122i	$-0.184657\pi$
$139$	−1.91514	−	5.89419i	−0.162440	−	0.499939i	−0.998839	+	0.0481830i	$0.984657\pi$
$140$	14.4686	−	0.546377i	1.22282	−	0.0461773i
$141$	−5.15627	+	15.8694i	−0.434236	+	1.33644i
$142$	−3.22083	−	0.684608i	−0.270286	−	0.0574511i
$143$	0.625328	−	0.694498i	0.0522926	−	0.0580768i
$144$	6.71789	−	7.46097i	0.559824	−	0.621748i
$145$	31.2224	+	6.63653i	2.59288	+	0.551134i
$146$	2.57591	−	7.92785i	0.213184	−	0.656113i
$147$	−0.546839	+	18.7029i	−0.0451025	+	1.54259i
$148$	−0.815549	−	2.51000i	−0.0670377	−	0.206321i
$149$	−14.3617	+	6.39426i	−1.17656	+	0.523838i	−0.899460	−	0.437003i	$-0.856040\pi$
$149$	−14.3617	+	6.39426i	−1.17656	+	0.523838i	−0.277099	+	0.960841i	$0.589373\pi$
$150$	3.55872	+	6.16388i	0.290568	+	0.503279i
$151$	12.7601	−	2.71225i	1.03840	−	0.220720i	0.342997	−	0.939336i	$-0.388558\pi$
$151$	12.7601	−	2.71225i	1.03840	−	0.220720i	0.695406	+	0.718617i	$0.255224\pi$
$152$	4.18254	−	1.86219i	0.339249	−	0.151043i
$153$	−1.54534	+	1.12275i	−0.124933	+	0.0907692i
$154$	−2.36826	+	0.0894321i	−0.190840	+	0.00720665i
$155$	15.0119			1.20579
$156$	0.263893	+	2.51078i	0.0211284	+	0.201023i
$157$	−6.05108	+	6.72041i	−0.482929	+	0.536347i	−0.934535	−	0.355870i	$-0.884185\pi$
$157$	−6.05108	+	6.72041i	−0.482929	+	0.536347i	0.451606	+	0.892217i	$0.350851\pi$
$158$	−2.08497	+	0.443175i	−0.165872	+	0.0352571i
$159$	−18.4263	+	8.20390i	−1.46130	+	0.650612i
$160$	−13.3055	−	9.66702i	−1.05189	−	0.764245i
$161$	22.2409	−	10.9259i	1.75283	−	0.861080i
$162$	0.690283	−	2.12447i	0.0542337	−	0.166914i
$163$	6.21247	−	10.7603i	0.486598	−	0.842812i	−0.513283	−	0.858219i	$-0.671571\pi$
$163$	6.21247	−	10.7603i	0.486598	−	0.842812i	0.999881	+	0.0154069i	$0.00490436\pi$
$164$	−9.91506	+	4.85841i	−0.774236	+	0.379378i
$165$	7.23691	+	12.5347i	0.563392	+	0.975824i
$166$	−3.42181	−	3.80030i	−0.265584	−	0.294961i
$167$	−5.69792			−0.440918			−0.220459	−	0.975396i	$-0.570756\pi$
$167$	−5.69792			−0.440918			−0.220459	+	0.975396i	$0.570756\pi$
$168$	8.85830	−	10.6180i	0.683433	−	0.819194i
$169$	10.2745	+	7.46487i	0.790347	+	0.574221i
$170$	0.513787	+	0.570618i	0.0394056	+	0.0437644i
$171$	6.49406	−	7.21238i	0.496613	−	0.551545i
$172$	2.73476	+	1.21759i	0.208523	+	0.0928406i
$173$	4.77759	−	8.27502i	0.363233	−	0.629138i	−0.625258	−	0.780418i	$-0.715006\pi$
$173$	4.77759	−	8.27502i	0.363233	−	0.629138i	0.988491	+	0.151280i	$0.0483395\pi$
$174$	11.4187	−	8.29619i	0.865652	−	0.628933i
$175$	−7.14324	−	11.3597i	−0.539978	−	0.858713i
$176$	−3.34352	−	2.42921i	−0.252028	−	0.183109i
$177$	17.3163	+	19.2317i	1.30157	+	1.44554i
$178$	0.396958	+	0.687552i	0.0297533	+	0.0515342i
$179$	−1.38602	+	13.1871i	−0.103596	+	0.985652i	0.812028	+	0.583618i	$0.198363\pi$
$179$	−1.38602	+	13.1871i	−0.103596	+	0.985652i	−0.915625	+	0.402034i	$0.868303\pi$
$180$	−22.1870	−	4.71600i	−1.65372	−	0.351510i
$181$	16.1615	−	11.7420i	1.20127	−	0.872777i	0.206865	−	0.978369i	$-0.433674\pi$
$181$	16.1615	−	11.7420i	1.20127	−	0.872777i	0.994409	+	0.105593i	$0.0336739\pi$
$182$	0.108021	+	0.753096i	0.00800708	+	0.0558232i
$183$	2.01596	+	6.20448i	0.149024	+	0.458648i
$184$	−17.9128	−	3.80748i	−1.32055	−	0.280691i
$185$	−3.25014	+	3.60964i	−0.238955	+	0.265386i
$186$	4.44166	−	4.93296i	0.325678	−	0.361702i
$187$	0.526140	+	0.584337i	0.0384751	+	0.0427310i
$188$	−8.70858	+	6.32715i	−0.635138	+	0.461455i
$189$	2.20954	−	7.78895i	0.160720	−	0.566563i
$190$	−3.15624	−	2.29314i	−0.228977	−	0.166362i
$191$	−10.8962	+	18.8728i	−0.788425	+	1.36559i	0.138507	+	0.990361i	$0.455770\pi$
$191$	−10.8962	+	18.8728i	−0.788425	+	1.36559i	−0.926932	+	0.375230i	$0.877564\pi$
$192$	5.55280	−	1.18028i	0.400739	−	0.0851796i
$193$	1.95057	−	18.5584i	0.140405	−	1.33586i	−0.666643	−	0.745377i	$-0.732269\pi$
$193$	1.95057	−	18.5584i	0.140405	−	1.33586i	0.807048	−	0.590486i	$-0.201064\pi$
$194$	0.478014	+	4.54800i	0.0343194	+	0.326527i
$195$	3.75902	−	2.73109i	0.269189	−	0.195577i
$196$	−7.37731	+	9.55383i	−0.526951	+	0.682416i
$197$	15.7852	−	11.4686i	1.12465	−	0.817107i	0.139744	−	0.990188i	$-0.455372\pi$
$197$	15.7852	−	11.4686i	1.12465	−	0.817107i	0.984908	+	0.173081i	$0.0553722\pi$
$198$	3.63162	+	0.771924i	0.258088	+	0.0548583i
$199$	22.9832	−	4.88524i	1.62924	−	0.346305i	0.699531	−	0.714602i	$-0.253392\pi$
$199$	22.9832	−	4.88524i	1.62924	−	0.346305i	0.929708	+	0.368297i	$0.120059\pi$
$200$	−1.03661	+	9.86270i	−0.0732995	+	0.697398i
$201$	−23.6745	+	10.5406i	−1.66987	+	0.743474i
$202$	−0.214052			−0.0150607
$203$	−20.9229	+	16.4426i	−1.46850	+	1.15404i
$204$	−2.12416			−0.148721
$205$	16.8678	+	11.3325i	1.17810	+	0.791498i
$206$	−3.75583	−	6.50530i	−0.261681	−	0.453245i
$207$	−37.9715	+	8.07110i	−2.63920	+	0.560980i
$208$	−0.663363	+	1.14898i	−0.0459959	+	0.0796673i
$209$	−3.23212	−	2.34827i	−0.223571	−	0.162434i
$210$	−11.6098	−	2.01316i	−0.801153	−	0.138921i
$211$	−8.37862	+	25.7867i	−0.576808	+	1.77523i	0.0531299	+	0.998588i	$0.483080\pi$
$211$	−8.37862	+	25.7867i	−0.576808	+	1.77523i	−0.629938	+	0.776645i	$0.716920\pi$
$212$	−12.7276	−	2.70534i	−0.874138	−	0.185804i
$213$	−15.3155	−	6.81891i	−1.04940	−	0.467224i
$214$	3.49510	+	6.05369i	0.238920	+	0.413822i
$215$	−0.575900	−	5.47932i	−0.0392760	−	0.373686i
$216$	−4.84067	+	3.51696i	−0.329366	+	0.239299i
$217$	−8.01722	+	9.60982i	−0.544245	+	0.652357i
$218$	0.0942179	−	0.289973i	0.00638124	−	0.0196394i
$219$	21.2206	−	36.7551i	1.43395	−	2.48368i
$220$	−0.976009	+	9.28611i	−0.0658025	+	0.626069i
$221$	0.168902	−	0.187585i	0.0113616	−	0.0126183i
$222$	0.224504	+	2.13601i	0.0150677	+	0.143360i
$223$	2.82142	−	8.68343i	0.188936	−	0.581485i	−0.811058	−	0.584966i	$-0.801108\pi$
$223$	2.82142	−	8.68343i	0.188936	−	0.581485i	0.999994	+	0.00348062i	$0.00110792\pi$
$224$	13.2942	−	3.35472i	0.888256	−	0.224147i
$225$	6.49620	+	19.9932i	0.433080	+	1.33288i
$226$	2.85100	+	0.605999i	0.189646	+	0.0403104i
$227$	8.04125	−	8.93071i	0.533716	−	0.592752i	−0.414630	−	0.909990i	$-0.636089\pi$
$227$	8.04125	−	8.93071i	0.533716	−	0.592752i	0.948346	+	0.317238i	$0.102755\pi$
$228$	10.5568	−	2.24391i	0.699139	−	0.148607i
$229$	−2.75785	−	26.2392i	−0.182244	−	1.73393i	−0.578404	−	0.815751i	$-0.696324\pi$
$229$	−2.75785	−	26.2392i	−0.182244	−	1.73393i	0.396160	−	0.918182i	$-0.370343\pi$
$230$	4.82217	+	14.8411i	0.317965	+	0.978595i
$231$	−11.8889	−	2.06157i	−0.782235	−	0.135641i
$232$	19.6661			1.29114
$233$	3.78342	+	4.20191i	0.247860	+	0.275276i	0.854218	−	0.519916i	$-0.174037\pi$
$233$	3.78342	+	4.20191i	0.247860	+	0.275276i	−0.606358	+	0.795192i	$0.707370\pi$
$234$	0.124585	−	1.18534i	0.00814436	−	0.0774884i
$235$	18.0985	+	8.05798i	1.18062	+	0.525645i
$236$	1.74508	+	16.6033i	0.113595	+	1.08078i
$237$	−10.8526			−0.704953
$238$	−0.639670	+	0.0241558i	−0.0414636	+	0.00156579i
$239$	−5.63434	−	17.3407i	−0.364455	−	1.12168i	−0.950322	−	0.311269i	$-0.899246\pi$
$239$	−5.63434	−	17.3407i	−0.364455	−	1.12168i	0.585867	−	0.810407i	$-0.300754\pi$
$240$	−13.7492	−	15.2700i	−0.887508	−	0.985677i
$241$	3.05337	−	29.0509i	0.196685	−	1.87133i	−0.238710	−	0.971091i	$-0.576724\pi$
$241$	3.05337	−	29.0509i	0.196685	−	1.87133i	0.435394	−	0.900240i	$-0.356609\pi$
$242$	−0.443894	+	4.22337i	−0.0285346	+	0.271489i
$243$	10.2768	−	17.7999i	0.659255	−	1.14186i
$244$	−1.30052	+	4.00259i	−0.0832574	+	0.256240i
$245$	22.0164	+	2.96685i	1.40657	+	0.189545i
$246$	8.71466	−	2.18978i	0.555626	−	0.139615i
$247$	−0.641260	+	1.11070i	−0.0408024	+	0.0706719i
$248$	9.04683	−	1.92296i	0.574474	−	0.122108i
$249$	−13.0183	−	22.5483i	−0.824998	−	1.42894i
$250$	0.109430	−	0.0487213i	0.00692095	−	0.00308140i
$251$	−12.4203	−	9.02391i	−0.783965	−	0.569584i	0.122201	−	0.992505i	$-0.461005\pi$
$251$	−12.4203	−	9.02391i	−0.783965	−	0.569584i	−0.906166	+	0.422921i	$0.861005\pi$
$252$	14.8681	−	11.6843i	0.936600	−	0.736042i
$253$	4.93811	+	15.1979i	0.310456	+	0.955487i
$254$	0.557281	+	5.30217i	0.0349669	+	0.332688i
$255$	1.95470	+	3.38564i	0.122408	+	0.212017i
$256$	−1.62531	−	0.723636i	−0.101582	−	0.0452272i
$257$	1.79028	+	17.0334i	0.111674	+	1.06251i	0.896576	+	0.442890i	$0.146047\pi$
$257$	1.79028	+	17.0334i	0.111674	+	1.06251i	−0.784901	+	0.619621i	$0.787286\pi$
$258$	−1.97091	−	1.43195i	−0.122704	−	0.0891495i
$259$	−0.574939	−	4.00832i	−0.0357249	−	0.249065i
$260$	2.99746			0.185895
$261$	38.0841	−	16.9561i	2.35734	−	1.04956i
$262$	3.42902	−	3.80831i	0.211846	−	0.235278i
$263$	19.4339	+	8.65251i	1.19834	+	0.533536i	0.906204	−	0.422840i	$-0.138967\pi$
$263$	19.4339	+	8.65251i	1.19834	+	0.533536i	0.292138	+	0.956376i	$0.405633\pi$
$264$	5.96691	+	6.62693i	0.367238	+	0.407859i
$265$	7.40030	+	22.7758i	0.454597	+	1.39910i
$266$	3.15355	−	0.795783i	0.193357	−	0.0487926i
$267$	1.24909	+	3.84432i	0.0764434	+	0.235268i
$268$	−16.3528	−	3.47589i	−0.998904	−	0.212324i
$269$	9.11568	−	1.93760i	0.555793	−	0.118137i	0.0785519	−	0.996910i	$-0.474970\pi$
$269$	9.11568	−	1.93760i	0.555793	−	0.118137i	0.477241	+	0.878773i	$0.341637\pi$
$270$	4.65779	+	2.07378i	0.283464	+	0.126206i
$271$	2.99934	+	0.637529i	0.182197	+	0.0387271i	0.298106	−	0.954533i	$-0.403645\pi$
$271$	2.99934	+	0.637529i	0.182197	+	0.0387271i	−0.115910	+	0.993260i	$0.536978\pi$
$272$	−0.903091	−	0.656134i	−0.0547580	−	0.0397840i
$273$	−0.259237	+	3.86488i	−0.0156898	+	0.233913i
$274$	−1.92050	+	5.91068i	−0.116021	+	0.357077i
$275$	7.90555	−	3.51978i	0.476722	−	0.212250i
$276$	−39.4371	−	17.5585i	−2.37384	−	1.05690i
$277$	−17.7511	−	7.90332i	−1.06656	−	0.474865i	−0.203038	−	0.979171i	$-0.565082\pi$
$277$	−17.7511	−	7.90332i	−1.06656	−	0.474865i	−0.863525	+	0.504306i	$0.831748\pi$
$278$	−1.62684	+	2.81777i	−0.0975716	+	0.168999i
$279$	15.8615	−	11.5241i	0.949605	−	0.689928i
$280$	−11.4383	−	11.7776i	−0.683567	−	0.703845i
$281$	1.17627	−	3.62018i	0.0701702	−	0.215962i	−0.909822	−	0.415000i	$-0.863782\pi$
$281$	1.17627	−	3.62018i	0.0701702	−	0.215962i	0.979992	+	0.199038i	$0.0637817\pi$
$282$	8.00278	−	3.56307i	0.476559	−	0.212178i
$283$	−0.430896	+	4.09970i	−0.0256141	+	0.243702i	0.974222	+	0.225592i	$0.0724315\pi$
$283$	−0.430896	+	4.09970i	−0.0256141	+	0.243702i	−0.999836	+	0.0181099i	$0.994235\pi$
$284$	−5.40764	−	9.36631i	−0.320884	−	0.555788i
$285$	−13.2911	−	14.7613i	−0.787297	−	0.874382i
$286$	−0.490631			−0.0290116
$287$	−16.2628	+	4.74561i	−0.959964	+	0.280124i
$288$	−21.4795			−1.26569
$289$	−11.2331	−	12.4756i	−0.660771	−	0.733861i
$290$	−8.37895	−	14.5128i	−0.492029	−	0.852219i
$291$	−2.43377	+	23.1557i	−0.142670	+	1.35741i
$292$	25.0123	−	11.1362i	1.46373	−	0.651696i
$293$	−0.0403504	+	0.124186i	−0.00235730	+	0.00725502i	−0.952228	−	0.305387i	$-0.901214\pi$
$293$	−0.0403504	+	0.124186i	−0.00235730	+	0.00725502i	0.949871	+	0.312642i	$0.101214\pi$
$294$	7.48902	−	6.35683i	0.436769	−	0.370738i
$295$	24.8577	−	18.0602i	1.44727	−	1.05150i
$296$	−1.49629	+	2.59166i	−0.0869703	+	0.150637i
$297$	4.76978	+	2.12364i	0.276771	+	0.123226i
$298$	7.53988	+	3.35697i	0.436774	+	0.194464i
$299$	4.68644	−	2.08654i	0.271024	−	0.120668i
$300$	−7.22405	+	22.2333i	−0.417081	+	1.28364i
$301$	3.81512	+	2.55761i	0.219900	+	0.147418i
$302$	−5.54071	−	4.02556i	−0.318832	−	0.231645i
$303$	−1.06601	−	0.226588i	−0.0612408	−	0.0130171i
$304$	5.18136	+	2.30689i	0.297172	+	0.132309i
$305$	7.57640	−	1.61041i	0.433823	−	0.0922120i
$306$	0.980906	+	0.208498i	0.0560747	+	0.0119190i
$307$	4.69449	+	14.4481i	0.267928	+	0.824599i	0.991004	+	0.133830i	$0.0427277\pi$
$307$	4.69449	+	14.4481i	0.267928	+	0.824599i	−0.723076	+	0.690769i	$0.757272\pi$
$308$	−5.42322	−	5.58410i	−0.309016	−	0.318184i
$309$	−11.8184	−	36.3732i	−0.672323	−	2.06920i
$310$	−5.27357	−	5.85690i	−0.299519	−	0.332649i
$311$	5.93169	+	2.64096i	0.336355	+	0.149755i	0.567963	−	0.823054i	$-0.307732\pi$
$311$	5.93169	+	2.64096i	0.336355	+	0.149755i	−0.231608	+	0.972809i	$0.574399\pi$
$312$	1.91551	−	2.12739i	0.108444	−	0.120440i
$313$	15.3126	−	6.81762i	0.865521	−	0.385355i	0.0745564	−	0.997217i	$-0.476246\pi$
$313$	15.3126	−	6.81762i	0.865521	−	0.385355i	0.790964	+	0.611862i	$0.209579\pi$
$314$	4.74766			0.267926
$315$	−32.3053	−	12.9456i	−1.82019	−	0.729404i
$316$	−5.66407	−	4.11519i	−0.318629	−	0.231497i
$317$	0.362415	+	3.44815i	0.0203552	+	0.193667i	0.999974	−	0.00719821i	$-0.00229128\pi$
$317$	0.362415	+	3.44815i	0.0203552	+	0.193667i	−0.979619	+	0.200865i	$0.935625\pi$
$318$	9.67375	+	4.30703i	0.542477	+	0.241526i
$319$	−8.58041	−	14.8617i	−0.480411	−	0.832096i
$320$	−0.704534	−	6.70319i	−0.0393846	−	0.374720i
$321$	10.9979	+	33.8481i	0.613844	+	1.88922i
$322$	−12.0758	−	4.83911i	−0.672958	−	0.269673i
$323$	−0.873001	−	0.634272i	−0.0485751	−	0.0352919i
$324$	6.70269	−	2.98423i	0.372372	−	0.165791i
$325$	−1.38901	−	2.40584i	−0.0770485	−	0.133452i
$326$	−6.38052	+	1.35622i	−0.353384	+	0.0751142i
$327$	0.776175	−	1.34437i	0.0429226	−	0.0743440i
$328$	11.6169	+	4.66878i	0.641435	+	0.257790i
$329$	−14.8239	+	7.28227i	−0.817269	+	0.401484i
$330$	2.34814	−	7.22682i	0.129261	−	0.397823i
$331$	−4.59421	+	7.95741i	−0.252521	+	0.437379i	−0.964219	−	0.265106i	$-0.914593\pi$
$331$	−4.59421	+	7.95741i	−0.252521	+	0.437379i	0.711698	+	0.702485i	$0.247926\pi$
$332$	1.75571	−	16.7045i	0.0963573	−	0.916778i
$333$	−0.663096	+	6.30894i	−0.0363375	+	0.345728i
$334$	2.00164	+	2.22304i	0.109525	+	0.121639i
$335$	9.50808	+	29.2628i	0.519482	+	1.59880i
$336$	17.1179	−	0.646421i	0.933859	−	0.0352652i
$337$	−3.45859			−0.188401			−0.0942006	−	0.995553i	$-0.530030\pi$
$337$	−3.45859			−0.188401			−0.0942006	+	0.995553i	$0.530030\pi$
$338$	−0.696941	−	6.63095i	−0.0379086	−	0.360676i
$339$	13.5569	+	6.03593i	0.736311	+	0.327827i
$340$	−0.263622	+	2.50819i	−0.0142969	+	0.136026i
$341$	−5.40036	−	5.99771i	−0.292446	−	0.324794i
$342$	−5.09522			−0.275518
$343$	−13.6572	+	12.5092i	−0.737420	+	0.675434i
$344$	−1.04894	−	3.22830i	−0.0565550	−	0.174058i
$345$	8.30488	+	79.0156i	0.447120	+	4.25406i
$346$	−4.90683	+	1.04298i	−0.263793	+	0.0560708i
$347$	−1.90428	+	2.11492i	−0.102227	+	0.113535i	−0.792087	−	0.610408i	$-0.791005\pi$
$347$	−1.90428	+	2.11492i	−0.102227	+	0.113535i	0.689860	+	0.723943i	$0.257672\pi$
$348$	45.3460	+	9.63859i	2.43080	+	0.516683i
$349$	−1.47796	−	4.54870i	−0.0791134	−	0.243486i	0.903676	−	0.428218i	$-0.140858\pi$
$349$	−1.47796	−	4.54870i	−0.0791134	−	0.243486i	−0.982789	+	0.184732i	$0.940858\pi$
$350$	−1.92262	+	6.77751i	−0.102768	+	0.362273i
$351$	0.517947	−	1.59408i	0.0276459	−	0.0850855i
$352$	0.924239	+	8.79355i	0.0492621	+	0.468698i
$353$	−22.4217	+	24.9019i	−1.19339	+	1.32539i	−0.260394	+	0.965503i	$0.583852\pi$
$353$	−22.4217	+	24.9019i	−1.19339	+	1.32539i	−0.932995	+	0.359890i	$0.882814\pi$
$354$	1.42016	−	13.5119i	0.0754804	−	0.718148i
$355$	−9.95248	+	17.2382i	−0.528223	+	0.914908i
$356$	−0.805808	+	2.48002i	−0.0427077	+	0.131441i
$357$	−3.21122	−	0.556832i	−0.169956	−	0.0294707i
$358$	5.63185	−	4.09178i	0.297653	−	0.216257i
$359$	−2.71168	−	25.7999i	−0.143117	−	1.36167i	−0.796500	−	0.604638i	$-0.793318\pi$
$359$	−2.71168	−	25.7999i	−0.143117	−	1.36167i	0.653383	−	0.757027i	$-0.273349\pi$
$360$	12.8601	+	22.2743i	0.677786	+	1.17396i
$361$	−12.3486	−	5.49797i	−0.649928	−	0.289367i
$362$	−10.2586	−	2.18052i	−0.539177	−	0.114606i
$363$	−6.68137	+	20.5631i	−0.350681	+	1.07929i
$364$	−1.60082	+	1.91881i	−0.0839055	+	0.100573i
$365$	−40.7666	−	29.6187i	−2.13382	−	1.55031i
$366$	1.71248	−	2.96611i	0.0895130	−	0.155041i
$367$	26.8554	−	5.70829i	1.40184	−	0.297971i	0.555901	−	0.831248i	$-0.312373\pi$
$367$	26.8554	−	5.70829i	1.40184	−	0.297971i	0.845940	+	0.533278i	$0.179040\pi$
$368$	−11.3431	−	19.6469i	−0.591301	−	1.02416i
$369$	26.5220	−	0.974835i	1.38068	−	0.0507479i
$370$	2.55005			0.132571
$371$	−18.5320	−	7.42629i	−0.962133	−	0.385554i
$372$	21.8026			1.13041
$373$	−15.9086	+	7.08295i	−0.823715	+	0.366741i	−0.774914	−	0.632067i	$-0.782207\pi$
$373$	−15.9086	+	7.08295i	−0.823715	+	0.366741i	−0.0488011	+	0.998809i	$0.515540\pi$
$374$	0.0431502	−	0.410546i	0.00223124	−	0.0212288i
$375$	0.596552	−	0.126801i	0.0308058	−	0.00654797i
$376$	11.9391	+	2.53774i	0.615714	+	0.130874i
$377$	−4.45687	+	3.23810i	−0.229540	+	0.166771i
$378$	−3.81505	+	1.87415i	−0.196225	+	0.0963958i
$379$	−14.7505	+	10.7169i	−0.757682	+	0.550488i	−0.898199	−	0.439590i	$-0.855124\pi$
$379$	−14.7505	+	10.7169i	−0.757682	+	0.550488i	0.140516	+	0.990078i	$0.455124\pi$
$380$	−1.33943	−	12.7439i	−0.0687115	−	0.653746i
$381$	−2.83735	+	26.9956i	−0.145362	+	1.38302i
$382$	11.1910	−	2.37872i	0.572581	−	0.121706i
$383$	−4.76626	+	8.25540i	−0.243544	+	0.421831i	−0.961721	−	0.274029i	$-0.911643\pi$
$383$	−4.76626	+	8.25540i	−0.243544	+	0.421831i	0.718177	+	0.695861i	$0.244977\pi$
$384$	−24.8242	−	18.0359i	−1.26681	−	0.920389i
$385$	−3.90978	+	13.7825i	−0.199261	+	0.702423i
$386$	−7.92578	+	5.75841i	−0.403411	+	0.293095i
$387$	−4.81475	−	5.34733i	−0.244748	−	0.271820i
$388$	−10.0506	+	11.1623i	−0.510241	+	0.566680i
$389$	10.3573	−	11.5029i	0.525135	−	0.583221i	−0.420973	−	0.907073i	$-0.638311\pi$
$389$	10.3573	−	11.5029i	0.525135	−	0.583221i	0.946108	+	0.323852i	$0.104978\pi$
$390$	−2.38605	−	0.507170i	−0.120822	−	0.0256816i
$391$	1.33379	+	4.10499i	0.0674528	+	0.207598i
$392$	13.6481	−	1.03225i	0.689331	−	0.0521366i
$393$	21.1084	−	15.3361i	1.06478	−	0.773606i
$394$	−10.0197	−	2.12976i	−0.504786	−	0.107296i
$395$	−1.34688	+	12.8147i	−0.0677689	+	0.644778i
$396$	6.09734	+	10.5609i	0.306403	+	0.530705i
$397$	−7.47229	−	8.29882i	−0.375024	−	0.416506i	0.525857	−	0.850573i	$-0.323745\pi$
$397$	−7.47229	−	8.29882i	−0.375024	−	0.416506i	−0.900881	+	0.434067i	$0.857078\pi$
$398$	−9.97981	−	7.25076i	−0.500243	−	0.363448i
$399$	16.5476	−	0.624883i	0.828414	−	0.0312833i
$400$	−9.93901	+	7.22111i	−0.496951	+	0.361056i
$401$	−1.70144	+	2.94698i	−0.0849657	+	0.147165i	−0.905377	−	0.424609i	$-0.860411\pi$
$401$	−1.70144	+	2.94698i	−0.0849657	+	0.147165i	0.820411	+	0.571774i	$0.193745\pi$
$402$	12.4291	+	5.53378i	0.619905	+	0.276000i
$403$	−1.73363	+	1.92540i	−0.0863585	+	0.0959108i
$404$	−0.470441	−	0.522478i	−0.0234053	−	0.0259942i
$405$	−10.9245	−	7.93709i	−0.542841	−	0.394397i
$406$	13.7651	+	2.38690i	0.683152	+	0.118460i
$407$	2.61136			0.129440
$408$	1.61167	+	1.78994i	0.0797897	+	0.0886154i
$409$	11.2056	+	19.4086i	0.554081	+	0.959696i	0.997974	+	0.0636164i	$0.0202634\pi$
$409$	11.2056	+	19.4086i	0.554081	+	0.959696i	−0.443894	+	0.896079i	$0.646403\pi$
$410$	−1.50413	−	10.5620i	−0.0742839	−	0.521619i
$411$	−15.8212	+	27.4031i	−0.780402	+	1.35170i
$412$	7.62418	−	23.4648i	0.375617	−	1.15603i
$413$	−1.71429	+	25.5577i	−0.0843546	+	1.25761i
$414$	16.4880	+	11.9793i	0.810343	+	0.588749i
$415$	−28.2405	+	12.5735i	−1.38627	+	0.617208i
$416$	2.77644	−	0.590151i	0.136126	−	0.0289345i
$417$	−11.0847	+	12.3108i	−0.542821	+	0.602864i
$418$	0.219241	+	2.08594i	0.0107234	+	0.102027i
$419$	−2.07999			−0.101614			−0.0508072	−	0.998708i	$-0.516179\pi$
$419$	−2.07999			−0.101614			−0.0508072	+	0.998708i	$0.516179\pi$
$420$	−20.6020	−	32.7628i	−1.00527	−	1.59866i
$421$	−1.22781	+	0.892055i	−0.0598397	+	0.0434761i	−0.617303	−	0.786725i	$-0.711775\pi$
$421$	−1.22781	+	0.892055i	−0.0598397	+	0.0434761i	0.557463	+	0.830202i	$0.311775\pi$
$422$	13.0040	−	5.78977i	0.633027	−	0.281842i
$423$	25.3086	−	5.37951i	1.23055	−	0.261561i
$424$	7.37722	+	12.7777i	0.358269	+	0.620541i
$425$	2.13530	−	0.950697i	0.103577	−	0.0461156i
$426$	2.71983	+	8.37077i	0.131776	+	0.405565i
$427$	−3.01533	+	5.71005i	−0.145922	+	0.276329i
$428$	−7.09490	+	21.8359i	−0.342945	+	1.05548i
$429$	−2.44342	−	0.519364i	−0.117969	−	0.0250751i
$430$	−1.93544	+	2.14953i	−0.0933354	+	0.103659i
$431$	4.64974	−	5.16405i	0.223970	−	0.248744i	−0.620679	−	0.784065i	$-0.713143\pi$
$431$	4.64974	−	5.16405i	0.223970	−	0.248744i	0.844648	+	0.535321i	$0.179809\pi$
$432$	−7.25031	−	1.54110i	−0.348831	−	0.0741463i
$433$	−2.81104	+	8.65149i	−0.135090	+	0.415764i	−0.995604	−	0.0936627i	$-0.970142\pi$
$433$	−2.81104	+	8.65149i	−0.135090	+	0.415764i	0.860514	+	0.509427i	$0.170142\pi$
$434$	6.56565	−	0.247938i	0.315161	−	0.0119014i
$435$	−26.3658	−	81.1455i	−1.26414	−	3.89063i
$436$	0.914863	−	0.407323i	0.0438140	−	0.0195072i
$437$	−10.9652	−	18.9922i	−0.524536	−	0.908522i
$438$	−21.7946	+	4.63259i	−1.04139	+	0.221354i
$439$	3.73281	−	1.66196i	0.178157	−	0.0793208i	−0.315720	−	0.948853i	$-0.602246\pi$
$439$	3.73281	−	1.66196i	0.178157	−	0.0793208i	0.493877	+	0.869532i	$0.335579\pi$
$440$	8.56557	−	6.22325i	0.408347	−	0.296682i
$441$	25.5399	−	13.7664i	1.21619	−	0.655541i
$442$	−0.132520			−0.00630334
$443$	−1.53144	−	14.5707i	−0.0727608	−	0.692273i	−0.968723	−	0.248143i	$-0.920180\pi$
$443$	−1.53144	−	14.5707i	−0.0727608	−	0.692273i	0.895963	−	0.444130i	$-0.146487\pi$
$444$	−4.72035	+	5.24248i	−0.224018	+	0.248797i
$445$	4.69437	−	0.997819i	0.222534	−	0.0473011i
$446$	−4.37898	+	1.94965i	−0.207351	+	0.0923184i
$447$	33.9962	+	24.6997i	1.60796	+	1.16825i
$448$	4.66728	+	3.12888i	0.220508	+	0.147826i
$449$	4.09208	−	12.5941i	0.193117	−	0.594354i	−0.806876	−	0.590721i	$-0.798844\pi$
$449$	4.09208	−	12.5941i	0.193117	−	0.594354i	0.999993	−	0.00363321i	$-0.00115649\pi$
$450$	5.51829	−	9.55796i	0.260135	−	0.450567i
$451$	−1.54030	−	10.8159i	−0.0725298	−	0.509302i
$452$	4.78671	+	8.29083i	0.225148	+	0.389968i
$453$	−23.3323	−	25.9131i	−1.09625	−	1.21750i
$454$	−6.30914			−0.296103
$455$	4.53145	+	0.785762i	0.212438	+	0.0368371i
$456$	−9.90065	−	7.19324i	−0.463640	−	0.336854i
$457$	21.7895	+	24.1997i	1.01927	+	1.13202i	0.991195	+	0.132411i	$0.0422717\pi$
$457$	21.7895	+	24.1997i	1.01927	+	1.13202i	0.0280771	+	0.999606i	$0.491062\pi$
$458$	−9.26839	+	10.2936i	−0.433083	+	0.480988i
$459$	1.28833	+	0.573600i	0.0601339	+	0.0267733i
$460$	−25.6274	+	44.3880i	−1.19488	+	2.06960i
$461$	10.1294	−	7.35942i	0.471772	−	0.342762i	−0.326359	−	0.945246i	$-0.605822\pi$
$461$	10.1294	−	7.35942i	0.471772	−	0.342762i	0.798131	+	0.602483i	$0.205822\pi$
$462$	3.37218	+	5.36268i	0.156888	+	0.249494i
$463$	−13.3918	−	9.72974i	−0.622371	−	0.452179i	0.231378	−	0.972864i	$-0.425677\pi$
$463$	−13.3918	−	9.72974i	−0.622371	−	0.452179i	−0.853749	+	0.520685i	$0.825677\pi$
$464$	16.3017	+	18.1049i	0.756787	+	0.840497i
$465$	−20.0633	−	34.7506i	−0.930413	−	1.61152i
$466$	0.310288	−	2.95220i	0.0143738	−	0.136758i
$467$	23.0145	+	4.89189i	1.06499	+	0.226370i	0.706896	−	0.707317i	$-0.250095\pi$
$467$	23.0145	+	4.89189i	1.06499	+	0.226370i	0.358090	+	0.933687i	$0.383428\pi$
$468$	3.16710	−	2.30104i	0.146399	−	0.106365i
$469$	−23.8103	−	9.54148i	−1.09946	−	0.440584i
$470$	−3.21405	−	9.89184i	−0.148253	−	0.456276i
$471$	23.6441	+	5.02571i	1.08946	+	0.231572i
$472$	12.6669	−	14.0680i	0.583041	−	0.647532i
$473$	−1.98198	+	2.20121i	−0.0911315	+	0.101212i
$474$	3.81244	+	4.23414i	0.175111	+	0.194481i
$475$	−9.60785	+	6.98051i	−0.440839	+	0.320288i
$476$	−1.46482	−	1.50827i	−0.0671399	−	0.0691316i
$477$	25.3032	+	18.3839i	1.15855	+	0.841739i
$478$	−4.78617	+	8.28989i	−0.218914	+	0.379171i
$479$	2.09009	−	0.444263i	0.0954988	−	0.0202989i	−0.159914	−	0.987131i	$-0.551122\pi$
$479$	2.09009	−	0.444263i	0.0954988	−	0.0202989i	0.255413	+	0.966832i	$0.417788\pi$
$480$	−4.59520	+	43.7204i	−0.209741	+	1.99555i
$481$	−0.0876266	−	0.833711i	−0.00399543	−	0.0380140i
$482$	−12.4068	+	9.01407i	−0.565115	+	0.410580i
$483$	−55.0168	−	36.8825i	−2.50335	−	1.67821i
$484$	−11.2844	+	8.19857i	−0.512926	+	0.372662i
$485$	27.0401	+	5.74755i	1.22783	+	0.260983i
$486$	−10.5548	+	2.24348i	−0.478774	+	0.101767i
$487$	0.920800	−	8.76083i	0.0417254	−	0.396991i	−0.953649	−	0.300921i	$-0.902706\pi$
$487$	0.920800	−	8.76083i	0.0417254	−	0.396991i	0.995375	−	0.0960702i	$-0.0306273\pi$
$488$	4.35958	−	1.94101i	0.197349	−	0.0878654i
$489$	−33.2116			−1.50188
$490$	−6.57667	−	9.63191i	−0.297103	−	0.435125i
$491$	−25.6057			−1.15557			−0.577784	−	0.816189i	$-0.696083\pi$
$491$	−25.6057			−1.15557			−0.577784	+	0.816189i	$0.696083\pi$
$492$	24.4980	+	16.4588i	1.10445	+	0.742022i
$493$	−2.31758	−	4.01417i	−0.104379	−	0.180789i
$494$	0.658607	−	0.139991i	0.0296321	−	0.00629851i
$495$	11.2218	−	19.4368i	0.504384	−	0.873618i
$496$	9.26945	+	6.73465i	0.416210	+	0.302395i
$497$	−5.71976	−	15.5772i	−0.256566	−	0.698734i
$498$	−4.22399	+	13.0001i	−0.189281	+	0.582549i
$499$	1.07737	+	0.229002i	0.0482298	+	0.0102515i	0.231963	−	0.972725i	$-0.425485\pi$
$499$	1.07737	+	0.229002i	0.0482298	+	0.0102515i	−0.183734	+	0.982976i	$0.558818\pi$
$500$	0.359427	+	0.160027i	0.0160740	+	0.00715663i
$501$	7.61522	+	13.1899i	0.340223	+	0.589283i
$502$	0.842497	+	8.01582i	0.0376025	+	0.357764i
$503$	11.9145	−	8.65640i	0.531242	−	0.385970i	−0.289580	−	0.957154i	$-0.593516\pi$
$503$	11.9145	−	8.65640i	0.531242	−	0.385970i	0.820822	+	0.571184i	$0.193516\pi$
$504$	−21.1268	−	3.66343i	−0.941063	−	0.163182i
$505$	−0.399853	+	1.23062i	−0.0177932	+	0.0547619i
$506$	4.19475	−	7.26552i	0.186479	−	0.322992i
$507$	3.54841	−	33.7609i	0.157590	−	1.49937i
$508$	−11.7172	+	13.0133i	−0.519868	+	0.577372i
$509$	−0.331278	−	3.15190i	−0.0146836	−	0.139706i	0.984724	−	0.174123i	$-0.0557091\pi$
$509$	−0.331278	−	3.15190i	−0.0146836	−	0.139706i	−0.999408	+	0.0344176i	$0.989042\pi$
$510$	0.634235	−	1.95197i	0.0280844	−	0.0864349i
$511$	40.7320	−	10.2785i	1.80188	−	0.454694i
$512$	−6.80608	−	20.9469i	−0.300789	−	0.925733i
$513$	−7.00874	−	1.48975i	−0.309443	−	0.0657742i
$514$	6.01664	−	6.68216i	0.265383	−	0.294737i
$515$	−44.4159	+	9.44090i	−1.95720	+	0.416016i
$516$	−0.836410	−	7.95791i	−0.0368209	−	0.350328i
$517$	−3.29133	−	10.1297i	−0.144752	−	0.445502i
$518$	−1.36187	+	1.63240i	−0.0598372	+	0.0717237i
$519$	−25.5408			−1.12112
$520$	−2.27428	−	2.52584i	−0.0997337	−	0.110766i
$521$	−2.27908	+	21.6840i	−0.0998484	+	0.949994i	0.823833	+	0.566833i	$0.191831\pi$
$521$	−2.27908	+	21.6840i	−0.0998484	+	0.949994i	−0.923681	+	0.383161i	$0.874835\pi$
$522$	−19.9941	−	8.90193i	−0.875116	−	0.389627i
$523$	0.321666	+	3.06044i	0.0140655	+	0.133824i	0.999301	−	0.0373797i	$-0.0119011\pi$
$523$	0.321666	+	3.06044i	0.0140655	+	0.133824i	−0.985236	+	0.171204i	$0.945234\pi$
$524$	16.8319			0.735306
$525$	−16.7494	+	31.7178i	−0.731002	+	1.38428i
$526$	−3.45119	−	10.6217i	−0.150479	−	0.463127i
$527$	−1.45865	−	1.61999i	−0.0635397	−	0.0705679i
$528$	−1.15472	+	10.9864i	−0.0502528	+	0.478124i
$529$	−6.76499	+	64.3646i	−0.294130	+	2.79846i
$530$	6.28629	−	10.8882i	0.273059	−	0.472952i
$531$	12.4004	−	38.1646i	0.538133	−	1.65620i
$532$	8.87325	+	5.94851i	0.384704	+	0.257901i
$533$	−3.40144	+	0.854698i	−0.147333	+	0.0370211i
$534$	1.06106	−	1.83781i	0.0459166	−	0.0795300i
$535$	41.3325	−	8.78550i	1.78696	−	0.379830i
$536$	9.47842	+	16.4171i	0.409405	+	0.709111i
$537$	32.3789	−	14.4160i	1.39725	−	0.622097i
$538$	−3.95822	−	2.87581i	−0.170651	−	0.123985i
$539$	−6.73479	−	9.86349i	−0.290088	−	0.424851i
$540$	5.17496	+	15.9269i	0.222695	+	0.685384i
$541$	1.90353	+	18.1109i	0.0818393	+	0.778649i	0.956070	+	0.293138i	$0.0946996\pi$
$541$	1.90353	+	18.1109i	0.0818393	+	0.778649i	−0.874231	+	0.485511i	$0.838634\pi$
$542$	−0.804912	−	1.39415i	−0.0345739	−	0.0598838i
$543$	−48.7809	−	21.7187i	−2.09339	−	0.932037i
$544$	0.249638	+	2.37515i	0.0107032	+	0.101834i
$545$	−1.49110	−	1.08335i	−0.0638717	−	0.0464055i
$546$	1.59895	−	1.25656i	0.0684287	−	0.0537759i
$547$	38.2886			1.63710			0.818551	−	0.574434i	$-0.194778\pi$
$547$	38.2886			1.63710			0.818551	+	0.574434i	$0.194778\pi$
$548$	−18.6482	+	8.30269i	−0.796610	+	0.354673i
$549$	6.76894	−	7.51767i	0.288891	−	0.320846i
$550$	−4.15040	−	1.84788i	−0.176973	−	0.0787937i
$551$	15.7585	+	17.5016i	0.671336	+	0.745594i
$552$	15.1264	+	46.5544i	0.643824	+	1.98149i
$553$	−7.48396	−	7.70598i	−0.318251	−	0.327692i
$554$	3.15236	+	9.70198i	0.133931	+	0.412198i
$555$	12.6996	+	2.69939i	0.539070	+	0.114583i
$556$	−10.4533	+	2.22192i	−0.443320	+	0.0942305i
$557$	−30.4478	−	13.5562i	−1.29011	−	0.574396i	−0.357043	−	0.934088i	$-0.616215\pi$
$557$	−30.4478	−	13.5562i	−1.29011	−	0.574396i	−0.933071	+	0.359692i	$0.882882\pi$
$558$	−10.0681	−	2.14005i	−0.426219	−	0.0905956i
$559$	0.769272	+	0.558909i	0.0325367	+	0.0236393i
$560$	1.36115	−	20.2930i	0.0575192	−	0.857534i
$561$	0.649484	−	1.99891i	0.0274212	−	0.0843939i
$562$	−1.82562	+	0.812820i	−0.0770093	+	0.0342867i
$563$	−13.9517	−	6.21168i	−0.587993	−	0.261791i	0.0911024	−	0.995842i	$-0.470961\pi$
$563$	−13.9517	−	6.21168i	−0.587993	−	0.261791i	−0.679095	+	0.734050i	$0.737628\pi$
$564$	26.2855	+	11.7030i	1.10682	+	0.492787i
$565$	8.80969	−	15.2588i	0.370627	−	0.641944i
$566$	1.75087	−	1.27208i	0.0735944	−	0.0534694i
$567$	10.9152	−	2.75439i	0.458394	−	0.115673i
$568$	−3.78965	+	11.6633i	−0.159010	+	0.489383i
$569$	3.03212	−	1.34999i	0.127113	−	0.0565944i	−0.342195	−	0.939629i	$-0.611170\pi$
$569$	3.03212	−	1.34999i	0.127113	−	0.0565944i	0.469308	+	0.883035i	$0.344504\pi$
$570$	−1.09004	+	10.3710i	−0.0456567	+	0.434395i
$571$	16.2511	+	28.1477i	0.680087	+	1.17795i	0.974954	+	0.222407i	$0.0713914\pi$
$571$	16.2511	+	28.1477i	0.680087	+	1.17795i	−0.294867	+	0.955538i	$0.595275\pi$
$572$	−1.07830	−	1.19758i	−0.0450861	−	0.0500732i
$573$	58.2509			2.43347
$574$	7.56450	+	4.67784i	0.315736	+	0.195249i
$575$	47.5026			1.98099
$576$	−5.89019	−	6.54172i	−0.245425	−	0.272572i
$577$	−3.44851	−	5.97300i	−0.143563	−	0.248659i	0.785273	−	0.619150i	$-0.212523\pi$
$577$	−3.44851	−	5.97300i	−0.143563	−	0.248659i	−0.928836	+	0.370491i	$0.879189\pi$
$578$	−0.921258	+	8.76519i	−0.0383193	+	0.364584i
$579$	−45.5672	+	20.2878i	−1.89371	+	0.843134i
$580$	17.0089	−	52.3481i	0.706257	−	2.17363i
$581$	7.03318	−	24.7930i	0.291786	−	1.02859i
$582$	9.88917	−	7.18490i	0.409919	−	0.297824i
$583$	6.43743	−	11.1500i	0.266611	−	0.461784i
$584$	−28.3617	−	12.6275i	−1.17362	−	0.522528i
$585$	−6.58201	−	2.93050i	−0.272132	−	0.121161i
$586$	0.0626259	−	0.0278828i	0.00258705	−	0.00115183i
$587$	−3.93480	+	12.1101i	−0.162407	+	0.499836i	−0.998836	−	0.0482387i	$-0.984639\pi$
$587$	−3.93480	+	12.1101i	−0.162407	+	0.499836i	0.836429	+	0.548075i	$0.184639\pi$
$588$	31.9756	+	4.30892i	1.31865	+	0.177697i
$589$	8.96060	+	6.51025i	0.369215	+	0.268250i
$590$	−15.7785	−	3.35382i	−0.649590	−	0.138075i
$591$	−47.6452	−	21.2130i	−1.95986	−	0.872587i
$592$	−3.62623	+	0.770779i	−0.149037	+	0.0316788i
$593$	−34.1822	−	7.26566i	−1.40370	−	0.298365i	−0.557032	−	0.830491i	$-0.688060\pi$
$593$	−34.1822	−	7.26566i	−1.40370	−	0.298365i	−0.846665	+	0.532126i	$0.821393\pi$
$594$	−0.847049	−	2.60695i	−0.0347548	−	0.106964i
$595$	−1.05604	+	3.72269i	−0.0432933	+	0.152615i
$596$	8.37705	+	25.7819i	0.343138	+	1.05607i
$597$	−42.0256	−	46.6741i	−1.71999	−	1.91025i
$598$	−2.46037	−	1.09543i	−0.100612	−	0.0447954i
$599$	18.9852	−	21.0852i	0.775715	−	0.861519i	−0.217709	−	0.976014i	$-0.569858\pi$
$599$	18.9852	−	21.0852i	0.775715	−	0.861519i	0.993424	+	0.114495i	$0.0365250\pi$
$600$	24.2163	−	10.7818i	0.988626	−	0.440165i
$601$	−29.1200			−1.18783			−0.593915	−	0.804528i	$-0.702419\pi$
$601$	−29.1200			−1.18783			−0.593915	+	0.804528i	$0.702419\pi$
$602$	−0.342374	−	2.38694i	−0.0139541	−	0.0972843i
$603$	32.5102	+	23.6200i	1.32392	+	0.961881i
$604$	−2.35135	−	22.3716i	−0.0956750	−	0.910287i
$605$	23.4516	+	10.4413i	0.953444	+	0.424501i
$606$	0.286079	+	0.495503i	0.0116212	+	0.0201284i
$607$	1.95589	+	18.6090i	0.0793869	+	0.755316i	0.959720	+	0.280959i	$0.0906526\pi$
$607$	1.95589	+	18.6090i	0.0793869	+	0.755316i	−0.880333	+	0.474357i	$0.842681\pi$
$608$	−3.74972	−	11.5405i	−0.152071	−	0.468027i
$609$	66.0257	+	26.4584i	2.67550	+	1.07215i
$610$	−3.28983	−	2.39020i	−0.133201	−	0.0967765i
$611$	−3.12358	+	1.39071i	−0.126367	+	0.0562621i
$612$	1.64690	+	2.85252i	0.0665720	+	0.115306i
$613$	4.48353	−	0.953003i	0.181088	−	0.0384914i	−0.116475	−	0.993194i	$-0.537159\pi$
$613$	4.48353	−	0.953003i	0.181088	−	0.0384914i	0.297563	+	0.954702i	$0.403826\pi$
$614$	3.98780	−	6.90707i	0.160935	−	0.278747i
$615$	3.68972	−	54.1925i	0.148784	−	2.18525i
$616$	−0.590716	+	8.80678i	−0.0238006	+	0.354835i
$617$	1.59920	−	4.92184i	0.0643815	−	0.198146i	−0.913691	−	0.406409i	$-0.866781\pi$
$617$	1.59920	−	4.92184i	0.0643815	−	0.198146i	0.978073	+	0.208263i	$0.0667809\pi$
$618$	−10.0393	+	17.3885i	−0.403839	+	0.699470i
$619$	−4.70686	+	44.7828i	−0.189185	+	1.79997i	0.328609	+	0.944466i	$0.393420\pi$
$619$	−4.70686	+	44.7828i	−0.189185	+	1.79997i	−0.517794	+	0.855505i	$0.673247\pi$
$620$	2.70585	−	25.7444i	0.108669	−	1.03392i
$621$	19.1776	+	21.2989i	0.769572	+	0.854696i
$622$	−1.05339	−	3.24199i	−0.0422370	−	0.129992i
$623$	−1.86831	+	3.53797i	−0.0748523	+	0.141746i
$624$	3.54631			0.141966
$625$	2.57510	+	24.5004i	0.103004	+	0.980016i
$626$	−8.03910	−	3.57924i	−0.321307	−	0.143055i
$627$	−1.11625	+	10.6204i	−0.0445786	+	0.424137i
$628$	10.4344	+	11.5885i	0.416376	+	0.462432i
$629$	0.705333			0.0281235
$630$	6.29785	+	17.1516i	0.250912	+	0.683335i
$631$	6.66615	+	20.5163i	0.265375	+	0.816741i	0.991607	+	0.129291i	$0.0412701\pi$
$631$	6.66615	+	20.5163i	0.265375	+	0.816741i	−0.726231	+	0.687450i	$0.758730\pi$
$632$	0.829821	+	7.89522i	0.0330085	+	0.314055i
$633$	70.8909	−	15.0683i	2.81766	−	0.598912i
$634$	1.21798	−	1.35270i	0.0483721	−	0.0537227i
$635$	31.5240	+	6.70064i	1.25099	+	0.265907i
$636$	10.7479	+	33.0785i	0.426180	+	1.31165i
$637$	−2.92306	+	2.48115i	−0.115816	+	0.0983066i
$638$	−2.78406	+	8.56844i	−0.110222	+	0.339228i
$639$	2.71736	+	25.8539i	0.107497	+	1.02277i
$640$	−24.3775	+	27.0739i	−0.963604	+	1.07019i
$641$	2.06469	−	19.6442i	0.0815503	−	0.775899i	−0.874959	−	0.484197i	$-0.839112\pi$
$641$	2.06469	−	19.6442i	0.0815503	−	0.775899i	0.956509	−	0.291702i	$-0.0942216\pi$
$642$	9.34234	−	16.1814i	0.368713	−	0.638629i
$643$	2.81552	−	8.66528i	0.111033	−	0.341725i	−0.880066	−	0.474852i	$-0.842502\pi$
$643$	2.81552	−	8.66528i	0.111033	−	0.341725i	0.991099	+	0.133126i	$0.0425016\pi$
$644$	−14.7283	−	40.1110i	−0.580375	−	1.58059i
$645$	−11.9142	+	8.65619i	−0.469122	+	0.340837i
$646$	0.0592174	+	0.563416i	0.00232988	+	0.0221673i
$647$	19.7842	+	34.2672i	0.777796	+	1.34718i	0.933209	+	0.359333i	$0.116996\pi$
$647$	19.7842	+	34.2672i	0.777796	+	1.34718i	−0.155413	+	0.987850i	$0.549671\pi$
$648$	−7.60026	−	3.38385i	−0.298566	−	0.132930i
$649$	−16.1579	−	3.43446i	−0.634251	−	0.134814i
$650$	−0.450688	+	1.38708i	−0.0176774	+	0.0544056i
$651$	32.9604	+	5.71540i	1.29182	+	0.224004i
$652$	−17.3334	−	12.5935i	−0.678829	−	0.493198i
$653$	16.7398	−	28.9942i	0.655080	−	1.13463i	−0.326794	−	0.945096i	$-0.605968\pi$
$653$	16.7398	−	28.9942i	0.655080	−	1.13463i	0.981874	−	0.189536i	$-0.0606985\pi$
$654$	−0.797171	+	0.169444i	−0.0311719	+	0.00662578i
$655$	−15.4891	−	26.8280i	−0.605210	−	1.04825i
$656$	5.33138	+	14.5647i	0.208155	+	0.568657i
$657$	−65.8109			−2.56753
$658$	8.04870	+	3.22534i	0.313771	+	0.125737i
$659$	38.1346			1.48551			0.742757	−	0.669561i	$-0.233518\pi$
$659$	38.1346			1.48551			0.742757	+	0.669561i	$0.233518\pi$
$660$	22.8006	−	10.1515i	0.887510	−	0.395145i
$661$	1.67926	−	15.9771i	0.0653157	−	0.621437i	−0.912079	−	0.410015i	$-0.865524\pi$
$661$	1.67926	−	15.9771i	0.0653157	−	0.621437i	0.977395	−	0.211423i	$-0.0678097\pi$
$662$	4.71849	−	1.00295i	0.183389	−	0.0389806i
$663$	−0.659971	−	0.140281i	−0.0256311	−	0.00544807i
$664$	−15.4083	+	11.1948i	−0.597959	+	0.434443i
$665$	1.31580	−	19.6168i	0.0510246	−	0.760707i
$666$	2.69437	−	1.95758i	0.104405	−	0.0758545i
$667$	−9.84664	−	93.6845i	−0.381263	−	3.62748i
$668$	−1.02703	+	9.77154i	−0.0397370	+	0.378072i
$669$	−23.8718	+	5.07411i	−0.922937	+	0.196176i
$670$	8.07677	−	13.9894i	0.312033	−	0.540457i
$671$	−3.36893	−	2.44767i	−0.130056	−	0.0944913i
$672$	−25.5333	−	26.2908i	−0.984969	−	1.01419i
$673$	10.0814	−	7.32457i	0.388610	−	0.282341i	−0.376276	−	0.926508i	$-0.622795\pi$
$673$	10.0814	−	7.32457i	0.388610	−	0.282341i	0.764886	+	0.644166i	$0.222795\pi$
$674$	1.21497	+	1.34937i	0.0467991	+	0.0519756i
$675$	10.3853	−	11.5340i	0.399729	−	0.443944i
$676$	14.6537	−	16.2746i	0.563603	−	0.625944i
$677$	30.5995	+	6.50412i	1.17603	+	0.249974i	0.754166	−	0.656684i	$-0.228041\pi$
$677$	30.5995	+	6.50412i	1.17603	+	0.249974i	0.421867	+	0.906658i	$0.361375\pi$
$678$	−2.40753	−	7.40961i	−0.0924605	−	0.284564i
$679$	−18.1202	+	14.2401i	−0.695391	+	0.546484i
$680$	2.31357	−	1.68091i	0.0887215	−	0.0644599i
$681$	−31.4205	−	6.67863i	−1.20404	−	0.255926i
$682$	−0.442899	+	4.21390i	−0.0169595	+	0.161359i
$683$	−0.189521	−	0.328260i	−0.00725182	−	0.0125605i	0.862377	−	0.506267i	$-0.168975\pi$
$683$	−0.189521	−	0.328260i	−0.00725182	−	0.0125605i	−0.869629	+	0.493707i	$0.835642\pi$
$684$	−11.1982	−	12.4369i	−0.428174	−	0.475535i
$685$	30.3939	+	22.0825i	1.16129	+	0.843728i
$686$	9.67814	+	0.933966i	0.369513	+	0.0356590i
$687$	−57.0544	+	41.4524i	−2.17676	+	1.58151i
$688$	2.10253	−	3.64169i	0.0801582	−	0.138838i
$689$	−3.77578	−	1.68109i	−0.143846	−	0.0640443i
$690$	27.9105	−	30.9977i	1.06253	−	1.18006i
$691$	18.0653	+	20.0635i	0.687235	+	0.763251i	0.981290	−	0.192537i	$-0.0616716\pi$
$691$	18.0653	+	20.0635i	0.687235	+	0.763251i	−0.294055	+	0.955788i	$0.595005\pi$
$692$	−13.3299	−	9.68477i	−0.506729	−	0.368160i
$693$	6.44927	+	17.5640i	0.244988	+	0.667200i
$694$	1.49409			0.0567150
$695$	13.1609	+	14.6166i	0.499220	+	0.554440i
$696$	−26.2835	−	45.5244i	−0.996275	−	1.72560i
$697$	−0.416037	−	2.92140i	−0.0157585	−	0.110656i
$698$	−1.25548	+	2.17455i	−0.0475205	+	0.0823079i
$699$	4.67037	−	14.3739i	0.176650	−	0.543672i
$700$	−20.7686	+	10.2026i	−0.784981	+	0.385623i
$701$	−33.7692	−	24.5348i	−1.27545	−	0.926666i	−0.276041	−	0.961146i	$-0.589023\pi$
$701$	−33.7692	−	24.5348i	−1.27545	−	0.926666i	−0.999405	+	0.0344796i	$0.989023\pi$
$702$	−0.803879	+	0.357910i	−0.0303405	+	0.0135084i
$703$	−3.50541	+	0.745097i	−0.132209	+	0.0281019i
$704$	−2.42468	+	2.69288i	−0.0913835	+	0.101492i
$705$	−5.53533	−	52.6651i	−0.208473	−	1.98348i
$706$	17.5920			0.662085
$707$	−0.574232	−	0.913185i	−0.0215962	−	0.0343439i
$708$	36.1022	−	26.2298i	1.35680	−	0.985775i
$709$	−18.9736	+	8.44758i	−0.712568	+	0.317256i	−0.730813	−	0.682578i	$-0.760859\pi$
$709$	−18.9736	+	8.44758i	−0.712568	+	0.317256i	0.0182452	+	0.999834i	$0.494192\pi$
$710$	10.2217	−	2.17269i	0.383614	−	0.0815396i
$711$	8.41425	+	14.5739i	0.315559	+	0.546564i
$712$	2.70121	−	1.20266i	0.101232	−	0.0450715i
$713$	−13.6902	−	42.1341i	−0.512702	−	1.57794i
$714$	0.910830	+	1.44847i	0.0340870	+	0.0542076i
$715$	−0.916506	+	2.82072i	−0.0342754	+	0.105489i
$716$	22.3652	+	4.75387i	0.835826	+	0.177660i
$717$	−32.6112	+	36.2184i	−1.21789	+	1.35260i
$718$	−9.11322	+	10.1213i	−0.340102	+	0.377722i
$719$	13.0933	+	2.78308i	0.488299	+	0.103791i	0.445481	−	0.895292i	$-0.353033\pi$
$719$	13.0933	+	2.78308i	0.488299	+	0.103791i	0.0428189	+	0.999083i	$0.486366\pi$
$720$	−9.84600	+	30.3029i	−0.366939	+	1.12932i
$721$	17.6771	−	33.4746i	0.658329	−	1.24666i
$722$	2.19295	+	6.74921i	0.0816132	+	0.251180i
$723$	−71.3298	+	31.7581i	−2.65278	+	1.18109i
$724$	−17.2237	−	29.8323i	−0.640113	−	1.10871i
$725$	−49.8978	+	10.6061i	−1.85316	+	0.393900i
$726$	10.3698	−	4.61694i	0.384860	−	0.171351i
$727$	−5.69961	+	4.14101i	−0.211387	+	0.153581i	−0.688441	−	0.725292i	$-0.741705\pi$
$727$	−5.69961	+	4.14101i	−0.211387	+	0.153581i	0.477054	+	0.878874i	$0.341705\pi$
$728$	2.83150	−	0.106926i	0.104942	−	0.00396293i
$729$	−42.1746			−1.56202
$730$	2.76528	+	26.3099i	0.102348	+	0.973772i
$731$	−0.535336	+	0.594550i	−0.0198001	+	0.0219902i
$732$	11.0036	−	2.33889i	0.406705	−	0.0864479i
$733$	−13.8687	+	6.17475i	−0.512253	+	0.228070i	−0.646550	−	0.762871i	$-0.723789\pi$
$733$	−13.8687	+	6.17475i	−0.512253	+	0.228070i	0.134297	+	0.990941i	$0.457122\pi$
$734$	−11.6612	−	8.47235i	−0.430422	−	0.312720i
$735$	−22.5568	−	54.9302i	−0.832020	−	2.02613i
$736$	−14.9985	+	46.1606i	−0.552852	+	1.70150i
$737$	8.27096	−	14.3257i	0.304665	−	0.527695i
$738$	−9.69729	−	10.0051i	−0.356962	−	0.368292i
$739$	−3.72497	−	6.45184i	−0.137025	−	0.237335i	0.789344	−	0.613951i	$-0.210421\pi$
$739$	−3.72497	−	6.45184i	−0.137025	−	0.237335i	−0.926369	+	0.376616i	$0.877088\pi$
$740$	5.60446	+	6.22439i	0.206024	+	0.228813i
$741$	3.42815			0.125936
$742$	3.61278	+	9.83905i	0.132629	+	0.361203i
$743$	1.19765	+	0.870142i	0.0439374	+	0.0319224i	0.609537	−	0.792757i	$-0.291355\pi$
$743$	1.19765	+	0.870142i	0.0439374	+	0.0319224i	−0.565600	+	0.824680i	$0.691355\pi$
$744$	−16.5424	−	18.3722i	−0.606474	−	0.673558i
$745$	33.3844	−	37.0771i	1.22311	−	1.35840i
$746$	8.35197	+	3.71854i	0.305787	+	0.136145i
$747$	−20.1866	+	34.9642i	−0.738590	+	1.27927i
$748$	1.09693	−	0.796968i	0.0401078	−	0.0291400i
$749$	−16.4499	+	31.1508i	−0.601067	+	1.13823i
$750$	−0.259035	−	0.188200i	−0.00945863	−	0.00687210i
$751$	7.10637	+	7.89242i	0.259315	+	0.287999i	0.858718	−	0.512449i	$-0.171262\pi$
$751$	7.10637	+	7.89242i	0.259315	+	0.287999i	−0.599402	+	0.800448i	$0.704595\pi$
$752$	7.56036	+	13.0949i	0.275698	+	0.477523i
$753$	−4.28950	+	40.8119i	−0.156318	+	1.48727i
$754$	2.82901	+	0.601324i	0.103026	+	0.0218989i
$755$	−33.4937	+	24.3346i	−1.21896	+	0.885627i
$756$	−12.9593	−	5.19314i	−0.471323	−	0.188873i
$757$	3.38828	+	10.4280i	0.123149	+	0.379014i	0.993559	−	0.113313i	$-0.0361464\pi$
$757$	3.38828	+	10.4280i	0.123149	+	0.379014i	−0.870410	+	0.492327i	$0.836146\pi$
$758$	9.36292	+	1.99015i	0.340076	+	0.0722855i
$759$	28.5815	−	31.7430i	1.03744	−	1.15220i
$760$	−9.72247	+	10.7979i	−0.352671	+	0.391681i
$761$	−7.80098	−	8.66387i	−0.282785	−	0.314065i	0.584972	−	0.811054i	$-0.301106\pi$
$761$	−7.80098	−	8.66387i	−0.282785	−	0.314065i	−0.867757	+	0.496989i	$0.834439\pi$
$762$	11.5290	−	8.37634i	0.417653	−	0.303443i
$763$	1.48983	−	0.375952i	0.0539356	−	0.0136104i
$764$	30.4016	+	22.0881i	1.09989	+	0.799118i
$765$	3.03103	−	5.24991i	0.109587	−	0.189811i
$766$	4.89519	−	1.04051i	0.176870	−	0.0375950i
$767$	−0.554304	+	5.27385i	−0.0200148	+	0.190428i
$768$	0.497092	+	4.72952i	0.0179373	+	0.170662i
$769$	14.1870	−	10.3075i	0.511597	−	0.371697i	−0.301832	−	0.953361i	$-0.597598\pi$
$769$	14.1870	−	10.3075i	0.511597	−	0.371697i	0.813429	+	0.581664i	$0.197598\pi$
$770$	6.75073	−	3.31630i	0.243279	−	0.119511i
$771$	37.0373	−	26.9092i	1.33387	−	0.969110i
$772$	−31.4748	−	6.69018i	−1.13280	−	0.240785i
$773$	−0.833743	+	0.177218i	−0.0299877	+	0.00637407i	−0.222881	−	0.974846i	$-0.571546\pi$
$773$	−0.833743	+	0.177218i	−0.0299877	+	0.00637407i	0.192893	+	0.981220i	$0.438213\pi$
$774$	−0.394871	+	3.75695i	−0.0141934	+	0.135041i
$775$	−21.9170	+	9.75808i	−0.787282	+	0.350520i
$776$	17.0318			0.611405
$777$	−8.51033	+	6.68799i	−0.305307	+	0.239930i
$778$	−8.12629			−0.291342
$779$	5.15374	+	14.0795i	0.184652	+	0.504449i
$780$	−4.00608	−	6.93873i	−0.143441	−	0.248447i
$781$	10.4675	−	2.22493i	0.374555	−	0.0796142i
$782$	1.13301	−	1.96243i	0.0405163	−	0.0701763i
$783$	−24.9001	−	18.0910i	−0.889857	−	0.646519i
$784$	12.2635	+	11.7089i	0.437983	+	0.418176i
$785$	8.86871	−	27.2951i	0.316538	−	0.974203i
$786$	−13.3986	−	2.84796i	−0.477912	−	0.101583i
$787$	25.9918	+	11.5723i	0.926506	+	0.412507i	0.813816	−	0.581123i	$-0.197386\pi$
$787$	25.9918	+	11.5723i	0.926506	+	0.412507i	0.112690	+	0.993630i	$0.464053\pi$
$788$	−16.8227	−	29.1378i	−0.599284	−	1.03799i
$789$	−5.94373	−	56.5508i	−0.211602	−	2.01326i
$790$	5.47280	−	3.97622i	0.194713	−	0.141468i
$791$	5.06300	+	13.7886i	0.180019	+	0.490265i
$792$	4.27299	−	13.1509i	0.151834	−	0.467297i
$793$	−0.668404	+	1.15771i	−0.0237357	+	0.0411115i
$794$	−0.612823	+	5.83062i	−0.0217483	+	0.206921i
$795$	42.8325	−	47.5703i	1.51911	−	1.68715i
$796$	−4.23520	−	40.2952i	−0.150113	−	1.42823i
$797$	1.43784	−	4.42521i	0.0509309	−	0.156749i	−0.922356	−	0.386340i	$-0.873739\pi$
$797$	1.43784	−	4.42521i	0.0509309	−	0.156749i	0.973287	+	0.229591i	$0.0737390\pi$
$798$	−6.05683	−	6.23651i	−0.214409	−	0.220770i
$799$	−0.888993	−	2.73604i	−0.0314503	−	0.0967941i
$800$	25.7094	+	5.46471i	0.908966	+	0.193207i
$801$	4.19406	−	4.65798i	0.148190	−	0.164581i
$802$	1.74746	−	0.371435i	0.0617051	−	0.0131158i
$803$	2.83177	+	26.9425i	0.0999308	+	0.950779i
$804$	13.8091	+	42.5000i	0.487009	+	1.49886i
$805$	−50.3786	+	60.3861i	−1.77561	+	2.12833i
$806$	1.36020			0.0479112
$807$	−16.6683	−	18.5120i	−0.586752	−	0.651654i
$808$	−0.0833313	+	0.792844i	−0.00293158	+	0.0278922i
$809$	15.8993	+	7.07881i	0.558988	+	0.248878i	0.666727	−	0.745302i	$-0.267695\pi$
$809$	15.8993	+	7.07881i	0.558988	+	0.248878i	−0.107739	+	0.994179i	$0.534361\pi$
$810$	0.741028	+	7.05041i	0.0260371	+	0.247726i
$811$	−5.84628			−0.205291			−0.102645	−	0.994718i	$-0.532731\pi$
$811$	−5.84628			−0.205291			−0.102645	+	0.994718i	$0.532731\pi$
$812$	24.4266	+	38.8450i	0.857207	+	1.36319i
$813$	−2.53279	−	7.79513i	−0.0888288	−	0.273387i
$814$	−0.917351	−	1.01882i	−0.0321531	−	0.0357097i
$815$	−4.12177	+	39.2161i	−0.144379	+	1.37368i
$816$	−0.311892	+	2.96746i	−0.0109184	+	0.103882i
$817$	2.03247	−	3.52035i	0.0711073	−	0.123161i
$818$	3.63584	−	11.1900i	0.127124	−	0.391248i
$819$	5.39111	−	2.64839i	0.188381	−	0.0925422i
$820$	22.4749	−	26.8844i	0.784856	−	0.938844i
$821$	9.16277	−	15.8704i	0.319783	−	0.553880i	−0.660660	−	0.750686i	$-0.729723\pi$
$821$	9.16277	−	15.8704i	0.319783	−	0.553880i	0.980443	+	0.196805i	$0.0630567\pi$
$822$	16.2492	−	3.45387i	0.566755	−	0.120468i
$823$	1.15568	+	2.00170i	0.0402846	+	0.0697750i	0.885465	−	0.464707i	$-0.153840\pi$
$823$	1.15568	+	2.00170i	0.0402846	+	0.0697750i	−0.845180	+	0.534482i	$0.820507\pi$
$824$	−25.5576	+	11.3790i	−0.890342	+	0.396406i
$825$	−18.7135	−	13.5962i	−0.651521	−	0.473358i
$826$	10.5735	−	8.30940i	0.367901	−	0.289121i
$827$	−5.40759	−	16.6429i	−0.188040	−	0.578729i	0.811947	−	0.583731i	$-0.198408\pi$
$827$	−5.40759	−	16.6429i	−0.188040	−	0.578729i	−0.999987	+	0.00500208i	$0.998408\pi$
$828$	6.99714	+	66.5733i	0.243167	+	2.31358i
$829$	3.88295	+	6.72546i	0.134860	+	0.233585i	0.925544	−	0.378640i	$-0.123608\pi$
$829$	3.88295	+	6.72546i	0.134860	+	0.233585i	−0.790684	+	0.612225i	$0.790275\pi$
$830$	14.8262	+	6.60106i	0.514625	+	0.229126i
$831$	5.42909	+	51.6543i	0.188333	+	1.79187i
$832$	0.941098	+	0.683748i	0.0326267	+	0.0237047i
$833$	−1.81908	−	2.66414i	−0.0630273	−	0.0923071i
$834$	8.69704			0.301154
$835$	16.5197	−	7.35504i	0.571688	−	0.254532i
$836$	−4.60971	+	5.11960i	−0.159430	+	0.177065i
$837$	−13.2235	−	5.88750i	−0.457072	−	0.203502i
$838$	0.730686	+	0.811509i	0.0252411	+	0.0280331i
$839$	9.46637	+	29.1345i	0.326815	+	1.00583i	0.970615	+	0.240640i	$0.0773572\pi$
$839$	9.46637	+	29.1345i	0.326815	+	1.00583i	−0.643799	+	0.765195i	$0.722643\pi$
$840$	−11.9764	+	42.2187i	−0.413227	+	1.45668i
$841$	22.2990	+	68.6291i	0.768929	+	2.36652i
$842$	0.779355	+	0.165657i	0.0268583	+	0.00570892i
$843$	−9.95231	+	2.11543i	−0.342776	+	0.0728592i
$844$	42.7123	+	19.0167i	1.47022	+	0.654583i
$845$	−39.4243	−	8.37988i	−1.35624	−	0.288277i
$846$	−10.9895	−	7.98437i	−0.377828	−	0.274508i
$847$	−19.2085	+	9.43619i	−0.660011	+	0.324231i
$848$	−5.64819	+	17.3833i	−0.193960	+	0.596946i
$849$	10.0662	−	4.48174i	0.345469	−	0.153813i
$850$	−1.12103	−	0.499114i	−0.0384510	−	0.0171195i
$851$	13.0952	+	5.83037i	0.448898	+	0.199862i
$852$	−14.4545	+	25.0360i	−0.495204	+	0.857718i
$853$	27.0852	−	19.6786i	0.927380	−	0.673781i	−0.0179696	−	0.999839i	$-0.505720\pi$
$853$	27.0852	−	19.6786i	0.927380	−	0.673781i	0.945350	+	0.326057i	$0.105720\pi$
$854$	3.28704	−	0.829467i	0.112480	−	0.0283838i
$855$	−9.51795	+	29.2932i	−0.325507	+	1.00181i
$856$	23.7834	−	10.5890i	0.812899	−	0.361926i
$857$	−4.47421	+	42.5693i	−0.152836	+	1.45414i	0.602141	+	0.798389i	$0.294314\pi$
$857$	−4.47421	+	42.5693i	−0.152836	+	1.45414i	−0.754978	+	0.655750i	$0.772352\pi$
$858$	0.655724	+	1.13575i	0.0223860	+	0.0387738i
$859$	19.4450	+	21.5958i	0.663454	+	0.736840i	0.977119	−	0.212693i	$-0.0682236\pi$
$859$	19.4450	+	21.5958i	0.663454	+	0.736840i	−0.313665	+	0.949534i	$0.601557\pi$
$860$	−9.50045			−0.323963
$861$	32.7206	+	31.3038i	1.11511	+	1.06683i
$862$	−3.64817			−0.124257
$863$	16.3052	+	18.1088i	0.555037	+	0.616431i	0.953734	−	0.300652i	$-0.0972042\pi$
$863$	16.3052	+	18.1088i	0.555037	+	0.616431i	−0.398697	+	0.917083i	$0.630538\pi$
$864$	7.92912	+	13.7336i	0.269754	+	0.467228i
$865$	−3.16978	+	30.1584i	−0.107776	+	1.02542i
$866$	4.36287	−	1.94248i	0.148256	−	0.0660080i
$867$	−13.8665	+	42.6768i	−0.470932	+	1.44938i
$868$	15.0351	+	15.4811i	0.510324	+	0.525463i
$869$	5.60438	−	4.07182i	0.190116	−	0.138127i
$870$	−22.3968	+	38.7924i	−0.759322	+	1.31518i
$871$	−4.85122	−	2.15990i	−0.164377	−	0.0731854i
$872$	−1.03737	−	0.461868i	−0.0351299	−	0.0156408i
$873$	32.9826	−	14.6848i	1.11629	−	0.497006i
$874$	−3.55783	+	10.9499i	−0.120346	+	0.370386i
$875$	0.501418	+	0.336144i	0.0169510	+	0.0113637i
$876$	−59.2076	−	43.0168i	−2.00044	−	1.45340i
$877$	−3.92174	−	0.833591i	−0.132428	−	0.0281484i	0.141221	−	0.989978i	$-0.454897\pi$
$877$	−3.92174	−	0.833591i	−0.132428	−	0.0281484i	−0.273649	+	0.961830i	$0.588231\pi$
$878$	−1.95972	−	0.872523i	−0.0661373	−	0.0294462i
$879$	0.341402	−	0.0725673i	0.0115152	−	0.00244763i
$880$	12.8294	+	2.72698i	0.432479	+	0.0919264i
$881$	−12.4062	−	38.1825i	−0.417977	−	1.28640i	−0.909561	−	0.415570i	$-0.863582\pi$
$881$	−12.4062	−	38.1825i	−0.417977	−	1.28640i	0.491584	−	0.870830i	$-0.336418\pi$
$882$	−14.3429	−	5.12838i	−0.482951	−	0.172682i
$883$	2.55559	+	7.86530i	0.0860025	+	0.264688i	0.984805	−	0.173666i	$-0.0555614\pi$
$883$	2.55559	+	7.86530i	0.0860025	+	0.264688i	−0.898802	+	0.438355i	$0.855561\pi$
$884$	−0.291251	−	0.323467i	−0.00979583	−	0.0108794i
$885$	−75.0290	−	33.4051i	−2.52207	−	1.12290i
$886$	−5.14675	+	5.71605i	−0.172909	+	0.192034i
$887$	−34.0302	+	15.1512i	−1.14262	+	0.508729i	−0.888697	−	0.458495i	$-0.848389\pi$
$887$	−34.0302	+	15.1512i	−1.14262	+	0.508729i	−0.253926	+	0.967224i	$0.581722\pi$
$888$	7.99913			0.268433
$889$	−21.1250	+	16.6015i	−0.708511	+	0.556795i
$890$	−2.03839	−	1.48098i	−0.0683271	−	0.0496425i
$891$	0.758845	+	7.21992i	0.0254223	+	0.241877i
$892$	−14.3829	−	6.40369i	−0.481576	−	0.214411i
$893$	7.30846	+	12.6586i	0.244568	+	0.423605i
$894$	−2.30603	−	21.9404i	−0.0771252	−	0.733797i
$895$	−13.0039	−	40.0219i	−0.434673	−	1.33778i
$896$	−4.31229	−	30.0642i	−0.144064	−	1.00437i
$897$	−11.0934	−	8.05986i	−0.370399	−	0.269111i
$898$	−6.35111	+	2.82770i	−0.211939	+	0.0943615i
$899$	23.7880	+	41.2019i	0.793373	+	1.37416i
$900$	35.4579	−	7.53682i	1.18193	−	0.251227i
$901$	1.73876	−	3.01162i	0.0579265	−	0.100332i
$902$	−3.67873	+	4.40050i	−0.122488	+	0.146521i
$903$	0.821653	−	12.2497i	0.0273429	−	0.407646i
$904$	3.35451	−	10.3241i	0.111569	−	0.343375i
$905$	−31.6993	+	54.9048i	−1.05372	+	1.82510i
$906$	−1.91354	+	18.2062i	−0.0635732	+	0.604859i
$907$	−5.46818	+	52.0262i	−0.181568	+	1.72750i	0.402174	+	0.915563i	$0.368255\pi$
$907$	−5.46818	+	52.0262i	−0.181568	+	1.72750i	−0.583742	+	0.811939i	$0.698412\pi$
$908$	−13.8661	−	15.3999i	−0.460164	−	0.511064i
$909$	0.522217	+	1.60722i	0.0173208	+	0.0533081i
$910$	−1.28530	−	2.04398i	−0.0426073	−	0.0677572i
$911$	4.29293			0.142231			0.0711155	−	0.997468i	$-0.477344\pi$
$911$	4.29293			0.142231			0.0711155	+	0.997468i	$0.477344\pi$
$912$	−1.58469	−	15.0773i	−0.0524744	−	0.499260i
$913$	15.1827	+	6.75977i	0.502473	+	0.223716i
$914$	1.78702	−	17.0024i	0.0591094	−	0.562388i
$915$	−13.8537	−	15.3861i	−0.457989	−	0.508648i
$916$	−45.4954			−1.50321
$917$	25.4459	+	4.41236i	0.840297	+	0.145709i
$918$	−0.228789	−	0.704141i	−0.00755117	−	0.0232401i
$919$	−3.72836	−	35.4730i	−0.122987	−	1.17015i	−0.865709	−	0.500547i	$-0.833132\pi$
$919$	−3.72836	−	35.4730i	−0.122987	−	1.17015i	0.742722	−	0.669600i	$-0.233534\pi$
$920$	56.8484	−	12.0835i	1.87424	−	0.398381i
$921$	27.1714	−	30.1769i	0.895329	−	0.994364i
$922$	−6.42965	−	1.36666i	−0.211749	−	0.0450087i
$923$	−1.06158	−	3.26721i	−0.0349424	−	0.107542i
$924$	−5.67838	+	20.0171i	−0.186805	+	0.658515i
$925$	2.39877	−	7.38264i	0.0788709	−	0.242740i
$926$	0.908395	+	8.64280i	0.0298517	+	0.284020i
$927$	−39.6823	+	44.0716i	−1.30334	+	1.44750i
$928$	5.44828	−	51.8369i	0.178848	−	1.70163i
$929$	11.4175	−	19.7757i	0.374596	−	0.648820i	−0.615670	−	0.788004i	$-0.711115\pi$
$929$	11.4175	−	19.7757i	0.374596	−	0.648820i	0.990267	+	0.139184i	$0.0444479\pi$
$930$	−6.50987	+	20.0353i	−0.213467	+	0.656984i
$931$	11.8549	+	11.3188i	0.388529	+	0.370959i
$932$	7.88793	−	5.73092i	0.258378	−	0.187722i
$933$	−1.81417	−	17.2607i	−0.0593933	−	0.565090i
$934$	−6.17626	−	10.6976i	−0.202093	−	0.350036i
$935$	−2.27969	−	1.01498i	−0.0745538	−	0.0331935i
$936$	−4.34198	−	0.922917i	−0.141922	−	0.0301665i
$937$	−5.13879	+	15.8156i	−0.167877	+	0.516672i	−0.999237	−	0.0390626i	$-0.987563\pi$
$937$	−5.13879	+	15.8156i	−0.167877	+	0.516672i	0.831360	+	0.555734i	$0.187563\pi$
$938$	4.64178	+	12.6414i	0.151560	+	0.412758i
$939$	−36.2471	−	26.3351i	−1.18288	−	0.859412i
$940$	17.0811	−	29.5853i	0.557123	−	0.964966i
$941$	−52.4221	+	11.1427i	−1.70891	+	0.363240i	−0.955655	−	0.294487i	$-0.904851\pi$
$941$	−52.4221	+	11.1427i	−1.70891	+	0.363240i	−0.753256	+	0.657728i	$0.771518\pi$
$942$	−6.34521	−	10.9902i	−0.206738	−	0.358081i
$943$	16.4245	−	57.6777i	0.534855	−	1.87825i
$944$	23.4511			0.763268
$945$	3.64820	+	25.4343i	0.118676	+	0.827377i
$946$	1.55506			0.0505592
$947$	51.3179	−	22.8482i	1.66761	−	0.742467i	0.667611	−	0.744510i	$-0.267317\pi$
$947$	51.3179	−	22.8482i	1.66761	−	0.742467i	0.999998	+	0.00204256i	$0.000650169\pi$
$948$	−1.95615	+	18.6115i	−0.0635327	+	0.604473i
$949$	8.50671	−	1.80816i	0.276139	−	0.0586952i
$950$	6.09861	+	1.29630i	0.197865	+	0.0420575i
$951$	7.49765	−	5.44736i	0.243128	−	0.176643i
$952$	−0.159553	+	2.37872i	−0.00517115	+	0.0770949i
$953$	−16.6569	+	12.1019i	−0.539569	+	0.392020i	−0.823925	−	0.566699i	$-0.808220\pi$
$953$	−16.6569	+	12.1019i	−0.539569	+	0.392020i	0.284356	+	0.958719i	$0.408220\pi$
$954$	−1.71637	−	16.3301i	−0.0555694	−	0.528708i
$955$	7.22931	−	68.7823i	0.233935	−	2.22574i
$956$	−30.7537	+	6.53689i	−0.994645	+	0.211418i
$957$	−22.9353	+	39.7251i	−0.741392	+	1.28413i
$958$	−0.907562	−	0.659383i	−0.0293220	−	0.0213037i
$959$	−30.3681	+	7.66323i	−0.980637	+	0.247459i
$960$	−14.5754	+	10.5897i	−0.470419	+	0.341780i
$961$	−5.77131	−	6.40969i	−0.186171	−	0.206764i
$962$	−0.294489	+	0.327064i	−0.00949472	+	0.0105450i
$963$	36.9275	−	41.0121i	1.18997	−	1.32160i
$964$	−49.2699	−	10.4726i	−1.58688	−	0.337301i
$965$	18.3006	+	56.3233i	0.589116	+	1.81311i
$966$	4.93727	+	34.4213i	0.158854	+	1.10749i
$967$	−25.3826	+	18.4416i	−0.816251	+	0.593041i	−0.915636	−	0.402008i	$-0.868312\pi$
$967$	−25.3826	+	18.4416i	−0.816251	+	0.593041i	0.0993852	+	0.995049i	$0.468312\pi$
$968$	15.4705	+	3.28835i	0.497239	+	0.105691i
$969$	−0.301500	+	2.86858i	−0.00968558	+	0.0921522i
$970$	−7.25657	−	12.5688i	−0.232995	−	0.403558i
$971$	−32.3590	−	35.9383i	−1.03845	−	1.15331i	−0.987979	−	0.154589i	$-0.950595\pi$
$971$	−32.3590	−	35.9383i	−1.03845	−	1.15331i	−0.0504701	−	0.998726i	$-0.516072\pi$
$972$	−28.6732	−	20.8323i	−0.919694	−	0.668196i
$973$	−16.3854	+	0.618760i	−0.525292	+	0.0198365i
$974$	−3.74150	+	2.71836i	−0.119886	+	0.0871019i
$975$	−3.71280	+	6.43076i	−0.118905	+	0.205949i
$976$	5.40068	+	2.40454i	0.172872	+	0.0769674i
$977$	25.1854	−	27.9712i	0.805752	−	0.894878i	−0.190473	−	0.981692i	$-0.561002\pi$
$977$	25.1854	−	27.9712i	0.805752	−	0.894878i	0.996224	+	0.0868146i	$0.0276688\pi$
$978$	11.6670	+	12.9575i	0.373069	+	0.414335i
$979$	−2.08740	−	1.51659i	−0.0667137	−	0.0484703i
$980$	9.05632	−	37.2218i	0.289293	−	1.18901i
$981$	−2.40713			−0.0768539
$982$	8.99508	+	9.99005i	0.287045	+	0.318795i
$983$	−18.7255	−	32.4335i	−0.597250	−	1.03447i	−0.993225	−	0.116206i	$-0.962927\pi$
$983$	−18.7255	−	32.4335i	−0.597250	−	1.03447i	0.395975	−	0.918261i	$-0.370407\pi$
$984$	−4.71824	−	33.1314i	−0.150412	−	1.05619i
$985$	−30.9613	+	53.6265i	−0.986508	+	1.70868i
$986$	−0.751978	+	2.31435i	−0.0239479	+	0.0737039i
$987$	36.6695	+	24.5828i	1.16720	+	0.782478i
$988$	1.78918	+	1.29992i	0.0569214	+	0.0413558i
$989$	−14.8537	+	6.61328i	−0.472319	+	0.210290i
$990$	−11.5254	+	2.44980i	−0.366301	+	0.0778597i
$991$	36.2731	−	40.2853i	1.15225	−	1.27971i	0.198167	−	0.980168i	$-0.436501\pi$
$991$	36.2731	−	40.2853i	1.15225	−	1.27971i	0.954085	−	0.299537i	$-0.0968323\pi$
$992$	−2.56232	−	24.3789i	−0.0813538	−	0.774029i
$993$	24.5605			0.779404
$994$	−4.06813	+	7.70372i	−0.129033	+	0.244347i
$995$	−60.3282	+	43.8310i	−1.91253	+	1.38954i
$996$	−41.0152	+	18.2612i	−1.29962	+	0.578627i
$997$	32.7230	−	6.95548i	1.03635	−	0.220282i	0.341832	−	0.939761i	$-0.388953\pi$
$997$	32.7230	−	6.95548i	1.03635	−	0.220282i	0.694514	+	0.719479i	$0.255619\pi$
$998$	−0.289127	−	0.500783i	−0.00915215	−	0.0158520i
$999$	4.27861	−	1.90496i	0.135369	−	0.0602702i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.s.a.16.11	✓	208
7.4	even	3	inner	287.2.s.a.221.16	yes	208
41.18	even	5	inner	287.2.s.a.100.16	yes	208
287.18	even	15	inner	287.2.s.a.18.11	yes	208

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.s.a.16.11	✓	208	1.1	even	1	trivial
287.2.s.a.18.11	yes	208	287.18	even	15	inner
287.2.s.a.100.16	yes	208	41.18	even	5	inner
287.2.s.a.221.16	yes	208	7.4	even	3	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:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.s (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.351292 - 0.390150i) q^{2} +(-1.33649 - 2.31487i) q^{3} +(0.180246 - 1.71493i) q^{4} +(-2.89925 + 1.29083i) q^{5} +(-0.433647 + 1.33463i) q^{6} +(0.722046 - 2.54532i) q^{7} +(-1.58186 + 1.14929i) q^{8} +(-2.07241 + 3.58953i) q^{9} +O(q^{10})\)	\(q+(-0.351292 - 0.390150i) q^{2} +(-1.33649 - 2.31487i) q^{3} +(0.180246 - 1.71493i) q^{4} +(-2.89925 + 1.29083i) q^{5} +(-0.433647 + 1.33463i) q^{6} +(0.722046 - 2.54532i) q^{7} +(-1.58186 + 1.14929i) q^{8} +(-2.07241 + 3.58953i) q^{9} +(1.52210 + 0.677683i) q^{10} +(1.55870 + 0.693977i) q^{11} +(-4.21074 + 1.87474i) q^{12} +(0.169258 - 0.520921i) q^{13} +(-1.24670 + 0.612445i) q^{14} +(6.86292 + 4.98621i) q^{15} +(-2.36930 - 0.503610i) q^{16} +(0.421006 + 0.187444i) q^{17} +(2.12848 - 0.452422i) q^{18} +(-2.29036 - 0.486830i) q^{19} +(1.69110 + 5.20468i) q^{20} +(-6.85709 + 1.73035i) q^{21} +(-0.276803 - 0.851914i) q^{22} +(6.26698 + 6.96018i) q^{23} +(4.77461 + 2.12579i) q^{24} +(3.39376 - 3.76915i) q^{25} +(-0.262696 + 0.116960i) q^{26} +3.06011 q^{27} +(-4.23490 - 1.69704i) q^{28} +(-8.13700 - 5.91187i) q^{29} +(-0.465526 - 4.42918i) q^{30} +(-4.32126 - 1.92395i) q^{31} +(2.59112 + 4.48796i) q^{32} +(-0.476718 - 4.53567i) q^{33} +(-0.0747651 - 0.230103i) q^{34} +(1.19218 + 8.31156i) q^{35} +(5.78225 + 4.20105i) q^{36} +(1.39819 - 0.622513i) q^{37} +(0.614648 + 1.06460i) q^{38} +(-1.43208 + 0.304397i) q^{39} +(3.10268 - 5.37400i) q^{40} +(-3.40308 - 5.42393i) q^{41} +(3.08394 + 2.06743i) q^{42} +(-0.536462 + 1.65106i) q^{43} +(1.47107 - 2.54797i) q^{44} +(1.37498 - 13.0821i) q^{45} +(0.513972 - 4.89012i) q^{46} +(-4.17704 - 4.63907i) q^{47} +(2.00075 + 6.15769i) q^{48} +(-5.95730 - 3.67568i) q^{49} -2.66273 q^{50} +(-0.128762 - 1.22509i) q^{51} +(-0.862836 - 0.384159i) q^{52} +(0.788762 - 7.50457i) q^{53} +(-1.07499 - 1.19390i) q^{54} -5.41486 q^{55} +(1.78313 + 4.85619i) q^{56} +(1.93409 + 5.95252i) q^{57} +(0.551949 + 5.25144i) q^{58} +(-9.47005 + 2.01292i) q^{59} +(9.78802 - 10.8707i) q^{60} +(-2.38730 - 0.507437i) q^{61} +(0.767398 + 2.36181i) q^{62} +(7.64011 + 7.86676i) q^{63} +(-0.656287 + 2.01984i) q^{64} +(0.181700 + 1.72876i) q^{65} +(-1.60212 + 1.77934i) q^{66} +(1.01342 - 9.64204i) q^{67} +(0.397339 - 0.688211i) q^{68} +(7.73616 - 23.8095i) q^{69} +(2.82395 - 3.38491i) q^{70} +(5.07415 - 3.68658i) q^{71} +(-0.847135 - 8.05995i) q^{72} +(7.93892 + 13.7506i) q^{73} +(-0.734046 - 0.326818i) q^{74} +(-13.2608 - 2.81868i) q^{75} +(-1.24771 + 3.84005i) q^{76} +(2.89184 - 3.46630i) q^{77} +(0.621838 + 0.451792i) q^{78} +(2.03006 - 3.51616i) q^{79} +(7.51926 - 1.59827i) q^{80} +(2.12744 + 3.68483i) q^{81} +(-0.920667 + 3.23310i) q^{82} +9.74062 q^{83} +(1.73147 + 12.0713i) q^{84} -1.46256 q^{85} +(0.832615 - 0.370704i) q^{86} +(-2.81020 + 26.7372i) q^{87} +(-3.26323 + 0.693620i) q^{88} +(-1.47918 - 0.314410i) q^{89} +(-5.58699 + 4.05918i) q^{90} +(-1.20370 - 0.806944i) q^{91} +(13.0658 - 9.49288i) q^{92} +(1.32163 + 12.5745i) q^{93} +(-0.342570 + 3.25934i) q^{94} +(7.26873 - 1.54502i) q^{95} +(6.92603 - 11.9962i) q^{96} +(-7.04703 - 5.11997i) q^{97} +(0.658689 + 3.61547i) q^{98} +(-5.72131 + 4.15678i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 208 q - 3 q^{2} - 8 q^{3} + 21 q^{4} - 7 q^{5} - 8 q^{6} - 6 q^{7} - 32 q^{8} - 92 q^{9}+O(q^{10}) \) 208 * q - 3 * q^2 - 8 * q^3 + 21 * q^4 - 7 * q^5 - 8 * q^6 - 6 * q^7 - 32 * q^8 - 92 * q^9	\( 208 q - 3 q^{2} - 8 q^{3} + 21 q^{4} - 7 q^{5} - 8 q^{6} - 6 q^{7} - 32 q^{8} - 92 q^{9} - 24 q^{10} + q^{11} + 19 q^{12} - 12 q^{13} - 62 q^{14} - 6 q^{15} + 21 q^{16} + 3 q^{17} + q^{19} - 48 q^{20} + 20 q^{21} - 68 q^{22} - 6 q^{23} - 18 q^{24} + 3 q^{25} + 15 q^{26} + 28 q^{27} - 11 q^{28} + 44 q^{29} - 5 q^{30} - 11 q^{31} - 6 q^{32} + 10 q^{33} - 108 q^{34} - 30 q^{35} + 66 q^{36} - 32 q^{37} - 10 q^{38} - 2 q^{39} + 70 q^{40} - 6 q^{41} + 24 q^{42} - 8 q^{43} - 68 q^{44} + 12 q^{45} - 66 q^{46} + 31 q^{47} + 110 q^{48} + 10 q^{49} + 64 q^{50} - 2 q^{51} + 69 q^{52} - 42 q^{53} + 43 q^{54} - 80 q^{55} + 10 q^{56} - 30 q^{57} - q^{58} - 29 q^{59} + 22 q^{60} - 9 q^{61} + 30 q^{62} + 54 q^{63} - 4 q^{64} - 14 q^{65} + 78 q^{66} + q^{67} - 42 q^{68} + 46 q^{69} - 179 q^{70} - 10 q^{71} - 13 q^{72} + 30 q^{73} + 61 q^{74} + 52 q^{75} + 118 q^{76} - 56 q^{77} - 94 q^{78} + 2 q^{79} - 17 q^{80} - 16 q^{81} - 21 q^{82} - 208 q^{83} - 33 q^{84} + 36 q^{85} + 39 q^{86} + 10 q^{87} + 24 q^{88} - 89 q^{89} + 242 q^{90} + 18 q^{91} - 10 q^{92} + 71 q^{93} + 81 q^{94} - 83 q^{95} - 64 q^{96} - 24 q^{97} + 26 q^{98} - 12 q^{99}+O(q^{100}) \) 208 * q - 3 * q^2 - 8 * q^3 + 21 * q^4 - 7 * q^5 - 8 * q^6 - 6 * q^7 - 32 * q^8 - 92 * q^9 - 24 * q^10 + q^11 + 19 * q^12 - 12 * q^13 - 62 * q^14 - 6 * q^15 + 21 * q^16 + 3 * q^17 + q^19 - 48 * q^20 + 20 * q^21 - 68 * q^22 - 6 * q^23 - 18 * q^24 + 3 * q^25 + 15 * q^26 + 28 * q^27 - 11 * q^28 + 44 * q^29 - 5 * q^30 - 11 * q^31 - 6 * q^32 + 10 * q^33 - 108 * q^34 - 30 * q^35 + 66 * q^36 - 32 * q^37 - 10 * q^38 - 2 * q^39 + 70 * q^40 - 6 * q^41 + 24 * q^42 - 8 * q^43 - 68 * q^44 + 12 * q^45 - 66 * q^46 + 31 * q^47 + 110 * q^48 + 10 * q^49 + 64 * q^50 - 2 * q^51 + 69 * q^52 - 42 * q^53 + 43 * q^54 - 80 * q^55 + 10 * q^56 - 30 * q^57 - q^58 - 29 * q^59 + 22 * q^60 - 9 * q^61 + 30 * q^62 + 54 * q^63 - 4 * q^64 - 14 * q^65 + 78 * q^66 + q^67 - 42 * q^68 + 46 * q^69 - 179 * q^70 - 10 * q^71 - 13 * q^72 + 30 * q^73 + 61 * q^74 + 52 * q^75 + 118 * q^76 - 56 * q^77 - 94 * q^78 + 2 * q^79 - 17 * q^80 - 16 * q^81 - 21 * q^82 - 208 * q^83 - 33 * q^84 + 36 * q^85 + 39 * q^86 + 10 * q^87 + 24 * q^88 - 89 * q^89 + 242 * q^90 + 18 * q^91 - 10 * q^92 + 71 * q^93 + 81 * q^94 - 83 * q^95 - 64 * q^96 - 24 * q^97 + 26 * q^98 - 12 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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