LMFDB - Embedded newform 287.2.u.a.8.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(8,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 19]))

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

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

chi := DirichletCharacter("287.8");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.u (of order $20$, 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:	$160$
Relative dimension:	$20$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			8.5
Character	$\chi$	$=$	287.8
Dual form			287.2.u.a.36.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.950420 + 1.30814i) q^{2} +(1.68439 + 1.68439i) q^{3} +(-0.189901 - 0.584454i) q^{4} +(-2.48593 + 0.807729i) q^{5} +(-3.80430 + 0.602541i) q^{6} +(0.987688 + 0.156434i) q^{7} +(-2.13059 - 0.692271i) q^{8} +2.67433i q^{9} +O(q^{10})$	\(q+(-0.950420 + 1.30814i) q^{2} +(1.68439 + 1.68439i) q^{3} +(-0.189901 - 0.584454i) q^{4} +(-2.48593 + 0.807729i) q^{5} +(-3.80430 + 0.602541i) q^{6} +(0.987688 + 0.156434i) q^{7} +(-2.13059 - 0.692271i) q^{8} +2.67433i q^{9} +(1.30606 - 4.01963i) q^{10} +(-2.61820 + 1.33404i) q^{11} +(0.664581 - 1.30431i) q^{12} +(-0.0868723 - 0.548490i) q^{13} +(-1.14336 + 1.14336i) q^{14} +(-5.54781 - 2.82675i) q^{15} +(3.92488 - 2.85159i) q^{16} +(0.661585 + 1.29843i) q^{17} +(-3.49840 - 2.54174i) q^{18} +(-0.419012 + 2.64554i) q^{19} +(0.944161 + 1.29953i) q^{20} +(1.40015 + 1.92715i) q^{21} +(0.743278 - 4.69288i) q^{22} +(6.73888 + 4.89608i) q^{23} +(-2.42269 - 4.75480i) q^{24} +(1.48236 - 1.07700i) q^{25} +(0.800067 + 0.407655i) q^{26} +(0.548550 - 0.548550i) q^{27} +(-0.0961338 - 0.606965i) q^{28} +(-0.503520 + 0.988214i) q^{29} +(8.97054 - 4.57072i) q^{30} +(1.36413 - 4.19837i) q^{31} +3.36403i q^{32} +(-6.65711 - 2.16303i) q^{33} +(-2.32732 - 0.368611i) q^{34} +(-2.58169 + 0.408899i) q^{35} +(1.56302 - 0.507857i) q^{36} +(1.40013 + 4.30917i) q^{37} +(-3.06250 - 3.06250i) q^{38} +(0.777544 - 1.07020i) q^{39} +5.85568 q^{40} +(-5.93176 + 2.41128i) q^{41} -3.85172 q^{42} +(0.0972171 - 0.133808i) q^{43} +(1.27688 + 1.27688i) q^{44} +(-2.16014 - 6.64822i) q^{45} +(-12.8095 + 4.16207i) q^{46} +(-2.93911 + 0.465510i) q^{47} +(11.4142 + 1.80783i) q^{48} +(0.951057 + 0.309017i) q^{49} +2.96273i q^{50} +(-1.07270 + 3.30143i) q^{51} +(-0.304070 + 0.154931i) q^{52} +(1.91340 - 3.75525i) q^{53} +(0.196228 + 1.23893i) q^{54} +(5.43113 - 5.43113i) q^{55} +(-1.99606 - 1.01705i) q^{56} +(-5.16190 + 3.75034i) q^{57} +(-0.814167 - 1.59789i) q^{58} +(-2.30557 - 1.67510i) q^{59} +(-0.598573 + 3.77924i) q^{60} +(6.91807 + 9.52190i) q^{61} +(4.19557 + 5.77470i) q^{62} +(-0.418358 + 2.64141i) q^{63} +(3.44913 + 2.50594i) q^{64} +(0.658990 + 1.29334i) q^{65} +(9.15660 - 6.65266i) q^{66} +(-0.852661 - 0.434452i) q^{67} +(0.633239 - 0.633239i) q^{68} +(3.10398 + 19.5978i) q^{69} +(1.91879 - 3.76583i) q^{70} +(9.99082 - 5.09058i) q^{71} +(1.85136 - 5.69791i) q^{72} +5.55004i q^{73} +(-6.96772 - 2.26395i) q^{74} +(4.31095 + 0.682788i) q^{75} +(1.62577 - 0.257496i) q^{76} +(-2.79466 + 0.908039i) q^{77} +(0.660975 + 2.03427i) q^{78} +(7.29474 + 7.29474i) q^{79} +(-7.45367 + 10.2591i) q^{80} +9.87094 q^{81} +(2.48336 - 10.0513i) q^{82} +16.7731 q^{83} +(0.860439 - 1.18429i) q^{84} +(-2.69344 - 2.69344i) q^{85} +(0.0826425 + 0.254347i) q^{86} +(-2.51266 + 0.816413i) q^{87} +(6.50183 - 1.02979i) q^{88} +(-3.12934 - 0.495639i) q^{89} +(10.7498 + 3.49284i) q^{90} -0.555327i q^{91} +(1.58182 - 4.86833i) q^{92} +(9.36943 - 4.77396i) q^{93} +(2.18444 - 4.28721i) q^{94} +(-1.09524 - 6.91509i) q^{95} +(-5.66633 + 5.66633i) q^{96} +(-15.0328 - 7.65958i) q^{97} +(-1.30814 + 0.950420i) q^{98} +(-3.56767 - 7.00194i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{19}{20}\right)$

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 $

$2$	−0.950420	+	1.30814i	−0.672048	+	0.924995i	−0.999805	−	0.0197670i	$-0.993708\pi$
$2$	−0.950420	+	1.30814i	−0.672048	+	0.924995i	0.327756	+	0.944762i	$0.393708\pi$
$3$	1.68439	+	1.68439i	0.972482	+	0.972482i	0.999631	−	0.0271489i	$-0.00864284\pi$
$3$	1.68439	+	1.68439i	0.972482	+	0.972482i	−0.0271489	+	0.999631i	$0.508643\pi$
$4$	−0.189901	−	0.584454i	−0.0949503	−	0.292227i
$5$	−2.48593	+	0.807729i	−1.11174	+	0.361227i	−0.806611	−	0.591082i	$-0.798701\pi$
$5$	−2.48593	+	0.807729i	−1.11174	+	0.361227i	−0.305133	+	0.952310i	$0.598701\pi$
$6$	−3.80430	+	0.602541i	−1.55310	+	0.245986i
$7$	0.987688	+	0.156434i	0.373311	+	0.0591267i
$7$	0.987688	+	0.156434i	0.373311	+	0.0591267i
$8$	−2.13059	−	0.692271i	−0.753278	−	0.244755i
$9$			2.67433i			0.891444i
$10$	1.30606	−	4.01963i	0.413012	−	1.27112i
$11$	−2.61820	+	1.33404i	−0.789418	+	0.402228i	−0.801723	−	0.597696i	$-0.796083\pi$
$11$	−2.61820	+	1.33404i	−0.789418	+	0.402228i	0.0123053	+	0.999924i	$0.496083\pi$
$12$	0.664581	−	1.30431i	0.191848	−	0.376523i
$13$	−0.0868723	−	0.548490i	−0.0240940	−	0.152124i	0.972708	−	0.232032i	$-0.0745373\pi$
$13$	−0.0868723	−	0.548490i	−0.0240940	−	0.152124i	−0.996802	+	0.0799081i	$0.974537\pi$
$14$	−1.14336	+	1.14336i	−0.305575	+	0.305575i
$15$	−5.54781	−	2.82675i	−1.43244	−	0.729864i
$16$	3.92488	−	2.85159i	0.981219	−	0.712897i
$17$	0.661585	+	1.29843i	0.160458	+	0.314916i	0.957212	−	0.289387i	$-0.0934515\pi$
$17$	0.661585	+	1.29843i	0.160458	+	0.314916i	−0.796754	+	0.604303i	$0.793451\pi$
$18$	−3.49840	−	2.54174i	−0.824582	−	0.599094i
$19$	−0.419012	+	2.64554i	−0.0961281	+	0.606929i	0.891850	+	0.452332i	$0.149408\pi$
$19$	−0.419012	+	2.64554i	−0.0961281	+	0.606929i	−0.987978	+	0.154597i	$0.950592\pi$
$20$	0.944161	+	1.29953i	0.211121	+	0.290583i
$21$	1.40015	+	1.92715i	0.305539	+	0.420538i
$22$	0.743278	−	4.69288i	0.158468	−	1.00052i
$23$	6.73888	+	4.89608i	1.40515	+	1.02090i	0.994005	+	0.109334i	$0.0348719\pi$
$23$	6.73888	+	4.89608i	1.40515	+	1.02090i	0.411148	+	0.911569i	$0.365128\pi$
$24$	−2.42269	−	4.75480i	−0.494530	−	0.970569i
$25$	1.48236	−	1.07700i	0.296472	−	0.215399i
$26$	0.800067	+	0.407655i	0.156906	+	0.0799476i
$27$	0.548550	−	0.548550i	0.105569	−	0.105569i
$28$	−0.0961338	−	0.606965i	−0.0181676	−	0.114706i
$29$	−0.503520	+	0.988214i	−0.0935013	+	0.183507i	−0.933020	−	0.359824i	$-0.882837\pi$
$29$	−0.503520	+	0.988214i	−0.0935013	+	0.183507i	0.839519	+	0.543330i	$0.182837\pi$
$30$	8.97054	−	4.57072i	1.63779	−	0.834495i
$31$	1.36413	−	4.19837i	0.245006	−	0.754050i	−0.750630	−	0.660723i	$-0.770250\pi$
$31$	1.36413	−	4.19837i	0.245006	−	0.754050i	0.995635	−	0.0933272i	$-0.0297503\pi$
$32$			3.36403i			0.594682i
$33$	−6.65711	−	2.16303i	−1.15885	−	0.376535i
$34$	−2.32732	−	0.368611i	−0.399132	−	0.0632162i
$35$	−2.58169	+	0.408899i	−0.436384	+	0.0691165i
$36$	1.56302	−	0.507857i	0.260504	−	0.0846429i
$37$	1.40013	+	4.30917i	0.230181	+	0.708424i	0.997724	+	0.0674266i	$0.0214789\pi$
$37$	1.40013	+	4.30917i	0.230181	+	0.708424i	−0.767543	+	0.640997i	$0.778521\pi$
$38$	−3.06250	−	3.06250i	−0.496803	−	0.496803i
$39$	0.777544	−	1.07020i	0.124507	−	0.171369i
$40$	5.85568			0.925864
$41$	−5.93176	+	2.41128i	−0.926385	+	0.376579i
$41$	−5.93176	+	2.41128i	−0.926385	+	0.376579i
$42$	−3.85172			−0.594333
$43$	0.0972171	−	0.133808i	0.0148255	−	0.0204055i	−0.801540	−	0.597941i	$-0.795986\pi$
$43$	0.0972171	−	0.133808i	0.0148255	−	0.0204055i	0.816365	+	0.577536i	$0.195986\pi$
$44$	1.27688	+	1.27688i	0.192497	+	0.192497i
$45$	−2.16014	−	6.64822i	−0.322014	−	0.991058i
$46$	−12.8095	+	4.16207i	−1.88866	+	0.613663i
$47$	−2.93911	+	0.465510i	−0.428714	+	0.0679016i	−0.367063	−	0.930196i	$-0.619637\pi$
$47$	−2.93911	+	0.465510i	−0.428714	+	0.0679016i	−0.0616511	+	0.998098i	$0.519637\pi$
$48$	11.4142	+	1.80783i	1.64750	+	0.260938i
$49$	0.951057	+	0.309017i	0.135865	+	0.0441453i
$50$			2.96273i			0.418994i
$51$	−1.07270	+	3.30143i	−0.150208	+	0.462293i
$52$	−0.304070	+	0.154931i	−0.0421669	+	0.0214851i
$53$	1.91340	−	3.75525i	0.262825	−	0.515824i	−0.721450	−	0.692467i	$-0.756524\pi$
$53$	1.91340	−	3.75525i	0.262825	−	0.515824i	0.984275	+	0.176643i	$0.0565239\pi$
$54$	0.196228	+	1.23893i	0.0267032	+	0.168598i
$55$	5.43113	−	5.43113i	0.732334	−	0.732334i
$56$	−1.99606	−	1.01705i	−0.266735	−	0.135908i
$57$	−5.16190	+	3.75034i	−0.683710	+	0.496745i
$58$	−0.814167	−	1.59789i	−0.106905	−	0.209814i
$59$	−2.30557	−	1.67510i	−0.300160	−	0.218079i	0.427503	−	0.904014i	$-0.359393\pi$
$59$	−2.30557	−	1.67510i	−0.300160	−	0.218079i	−0.727663	+	0.685935i	$0.759393\pi$
$60$	−0.598573	+	3.77924i	−0.0772754	+	0.487898i
$61$	6.91807	+	9.52190i	0.885768	+	1.21915i	0.974790	+	0.223125i	$0.0716259\pi$
$61$	6.91807	+	9.52190i	0.885768	+	1.21915i	−0.0890219	+	0.996030i	$0.528374\pi$
$62$	4.19557	+	5.77470i	0.532837	+	0.733388i
$63$	−0.418358	+	2.64141i	−0.0527081	+	0.332786i
$64$	3.44913	+	2.50594i	0.431141	+	0.313242i
$65$	0.658990	+	1.29334i	0.0817376	+	0.160419i
$66$	9.15660	−	6.65266i	1.12710	−	0.818886i
$67$	−0.852661	−	0.434452i	−0.104169	−	0.0530768i	0.401130	−	0.916021i	$-0.368618\pi$
$67$	−0.852661	−	0.434452i	−0.104169	−	0.0530768i	−0.505299	+	0.862945i	$0.668618\pi$
$68$	0.633239	−	0.633239i	0.0767915	−	0.0767915i
$69$	3.10398	+	19.5978i	0.373676	+	2.35930i
$70$	1.91879	−	3.76583i	0.229339	−	0.450103i
$71$	9.99082	−	5.09058i	1.18569	−	0.604141i	0.253935	−	0.967221i	$-0.418275\pi$
$71$	9.99082	−	5.09058i	1.18569	−	0.604141i	0.931758	+	0.363081i	$0.118275\pi$
$72$	1.85136	−	5.69791i	0.218185	−	0.671505i
$73$			5.55004i			0.649583i	0.945786	+	0.324792i	$0.105294\pi$
$73$			5.55004i			0.649583i	−0.945786	+	0.324792i	$0.894706\pi$
$74$	−6.96772	−	2.26395i	−0.809981	−	0.263179i
$75$	4.31095	+	0.682788i	0.497786	+	0.0788415i
$76$	1.62577	−	0.257496i	0.186488	−	0.0295368i
$77$	−2.79466	+	0.908039i	−0.318481	+	0.103481i
$78$	0.660975	+	2.03427i	0.0748407	+	0.230336i
$79$	7.29474	+	7.29474i	0.820722	+	0.820722i	0.986212	−	0.165489i	$-0.0529204\pi$
$79$	7.29474	+	7.29474i	0.820722	+	0.820722i	−0.165489	+	0.986212i	$0.552920\pi$
$80$	−7.45367	+	10.2591i	−0.833346	+	1.14700i
$81$	9.87094			1.09677
$82$	2.48336	−	10.0513i	0.274242	−	1.10998i
$83$	16.7731			1.84109			0.920543	−	0.390640i	$-0.127746\pi$
$83$	16.7731			1.84109			0.920543	+	0.390640i	$0.127746\pi$
$84$	0.860439	−	1.18429i	0.0938815	−	0.129217i
$85$	−2.69344	−	2.69344i	−0.292144	−	0.292144i
$86$	0.0826425	+	0.254347i	0.00891157	+	0.0274270i
$87$	−2.51266	+	0.816413i	−0.269385	+	0.0875286i
$88$	6.50183	−	1.02979i	0.693098	−	0.109776i
$89$	−3.12934	−	0.495639i	−0.331709	−	0.0525376i	−0.0116415	−	0.999932i	$-0.503706\pi$
$89$	−3.12934	−	0.495639i	−0.331709	−	0.0525376i	−0.320068	+	0.947395i	$0.603706\pi$
$90$	10.7498	+	3.49284i	1.13313	+	0.368177i
$91$		−	0.555327i		−	0.0582141i
$92$	1.58182	−	4.86833i	0.164916	−	0.507558i
$93$	9.36943	−	4.77396i	0.971565	−	0.495037i
$94$	2.18444	−	4.28721i	0.225308	−	0.442192i
$95$	−1.09524	−	6.91509i	−0.112370	−	0.709473i
$96$	−5.66633	+	5.66633i	−0.578317	+	0.578317i
$97$	−15.0328	−	7.65958i	−1.52635	−	0.777712i	−0.528870	−	0.848703i	$-0.677384\pi$
$97$	−15.0328	−	7.65958i	−1.52635	−	0.777712i	−0.997477	+	0.0709906i	$0.977384\pi$
$98$	−1.30814	+	0.950420i	−0.132142	+	0.0960069i
$99$	−3.56767	−	7.00194i	−0.358564	−	0.703722i
$100$	−0.910956	−	0.661848i	−0.0910956	−	0.0661848i
$101$	−2.97806	+	18.8027i	−0.296328	+	1.87094i	0.168732	+	0.985662i	$0.446033\pi$
$101$	−2.97806	+	18.8027i	−0.296328	+	1.87094i	−0.465060	+	0.885279i	$0.653967\pi$
$102$	−3.29922	−	4.54099i	−0.326672	−	0.449625i
$103$	−2.38616	−	3.28427i	−0.235115	−	0.323608i	0.675114	−	0.737714i	$-0.264095\pi$
$103$	−2.38616	−	3.28427i	−0.235115	−	0.323608i	−0.910229	+	0.414105i	$0.864095\pi$
$104$	−0.194614	+	1.22875i	−0.0190835	+	0.120489i
$105$	−5.03731	−	3.65982i	−0.491591	−	0.357162i
$106$	3.09387	+	6.07206i	0.300503	+	0.589771i
$107$	−8.63345	+	6.27257i	−0.834627	+	0.606392i	−0.920865	−	0.389882i	$-0.872516\pi$
$107$	−8.63345	+	6.27257i	−0.834627	+	0.606392i	0.0862373	+	0.996275i	$0.472516\pi$
$108$	−0.424772	−	0.216432i	−0.0408737	−	0.0208262i
$109$	9.84307	−	9.84307i	0.942796	−	0.942796i	−0.0556545	−	0.998450i	$-0.517725\pi$
$109$	9.84307	−	9.84307i	0.942796	−	0.942796i	0.998450	+	0.0556545i	$0.0177245\pi$
$110$	1.94283	+	12.2665i	0.185242	+	1.16957i
$111$	−4.89995	+	9.61669i	−0.465083	+	0.912776i
$112$	4.32264	−	2.20250i	0.408451	−	0.208116i
$113$	5.32318	−	16.3831i	0.500763	−	1.54119i	−0.307017	−	0.951704i	$-0.599331\pi$
$113$	5.32318	−	16.3831i	0.500763	−	1.54119i	0.807779	−	0.589485i	$-0.200669\pi$
$114$		−	10.3169i		−	0.966265i
$115$	−20.7071	−	6.72815i	−1.93095	−	0.627403i
$116$	0.673184	+	0.106622i	0.0625036	+	0.00989959i
$117$	1.46684	−	0.232325i	0.135610	−	0.0214785i
$118$	4.38253	−	1.42397i	0.403444	−	0.131087i
$119$	0.450320	+	1.38594i	0.0412808	+	0.127049i
$120$	9.86324	+	9.86324i	0.900386	+	0.900386i
$121$	−1.39032	+	1.91361i	−0.126393	+	0.173965i
$122$	−19.0311			−1.72299
$123$	−14.0529	−	5.92985i	−1.26711	−	0.534676i
$124$	−2.71281			−0.243617
$125$	4.86683	−	6.69862i	0.435303	−	0.599143i
$126$	−3.05772	−	3.05772i	−0.272403	−	0.272403i
$127$	−5.35513	−	16.4814i	−0.475191	−	1.46249i	−0.845700	−	0.533658i	$-0.820817\pi$
$127$	−5.35513	−	16.4814i	−0.475191	−	1.46249i	0.370510	−	0.928829i	$-0.379183\pi$
$128$	−12.9550	+	4.20934i	−1.14507	+	0.372056i
$129$	0.389136	−	0.0616331i	0.0342615	−	0.00542649i
$130$	−2.31819	−	0.367165i	−0.203319	−	0.0322025i
$131$	−17.6607	−	5.73832i	−1.54303	−	0.501359i	−0.590816	−	0.806806i	$-0.701194\pi$
$131$	−17.6607	−	5.73832i	−1.54303	−	0.501359i	−0.952209	+	0.305447i	$0.901194\pi$
$132$			4.30153i			0.374401i
$133$	−0.827708	+	2.54742i	−0.0717713	+	0.220889i
$134$	1.37871	−	0.702488i	0.119102	−	0.0606857i
$135$	−0.920580	+	1.80674i	−0.0792309	+	0.155499i
$136$	−0.510699	−	3.22443i	−0.0437921	−	0.276492i
$137$	5.96073	−	5.96073i	0.509259	−	0.509259i	−0.405040	−	0.914299i	$-0.632742\pi$
$137$	5.96073	−	5.96073i	0.509259	−	0.509259i	0.914299	+	0.405040i	$0.132742\pi$
$138$	−28.5868	−	14.5657i	−2.43347	−	1.23991i
$139$	6.71424	−	4.87818i	0.569494	−	0.413762i	−0.265427	−	0.964131i	$-0.585513\pi$
$139$	6.71424	−	4.87818i	0.569494	−	0.413762i	0.834921	+	0.550369i	$0.185513\pi$
$140$	0.729246	+	1.43123i	0.0616325	+	0.120961i
$141$	−5.73471	−	4.16651i	−0.482950	−	0.350884i
$142$	−2.83628	+	17.9076i	−0.238016	+	1.50277i
$143$	0.959157	+	1.32017i	0.0802087	+	0.110398i
$144$	7.62610	+	10.4964i	0.635508	+	0.874702i
$145$	0.453509	−	2.86334i	0.0376619	−	0.237788i
$146$	−7.26023	−	5.27487i	−0.600861	−	0.436551i
$147$	1.08144	+	2.12245i	0.0891960	+	0.175057i
$148$	2.25263	−	1.63663i	0.185165	−	0.134530i
$149$	20.6545	+	10.5240i	1.69209	+	0.862161i	0.988440	+	0.151610i	$0.0484459\pi$
$149$	20.6545	+	10.5240i	1.69209	+	0.862161i	0.703646	+	0.710551i	$0.251554\pi$
$150$	−4.99040	+	4.99040i	−0.407464	+	0.407464i
$151$	1.07851	+	6.80943i	0.0877678	+	0.554144i	0.991913	+	0.126919i	$0.0405088\pi$
$151$	1.07851	+	6.80943i	0.0877678	+	0.554144i	−0.904145	+	0.427225i	$0.859491\pi$
$152$	2.72418	−	5.34649i	0.220960	−	0.433658i
$153$	−3.47244	+	1.76930i	−0.280730	+	0.143039i
$154$	1.46825	−	4.51882i	0.118315	−	0.364137i
$155$			11.5387i			0.926814i
$156$	−0.773136	−	0.251207i	−0.0619005	−	0.0201127i
$157$	−0.474418	−	0.0751404i	−0.0378627	−	0.00599686i	0.137474	−	0.990505i	$-0.456102\pi$
$157$	−0.474418	−	0.0751404i	−0.0378627	−	0.00599686i	−0.175337	+	0.984508i	$0.556102\pi$
$158$	−16.4756	+	2.60948i	−1.31073	+	0.207599i
$159$	9.54821	−	3.10240i	0.757222	−	0.246036i
$160$	−2.71722	−	8.36275i	−0.214815	−	0.661134i
$161$	5.88999	+	5.88999i	0.464196	+	0.464196i
$162$	−9.38154	+	12.9126i	−0.737084	+	1.01451i
$163$	−9.48622			−0.743018			−0.371509	−	0.928429i	$-0.621160\pi$
$163$	−9.48622			−0.743018			−0.371509	+	0.928429i	$0.621160\pi$
$164$	2.53573	+	3.00893i	0.198007	+	0.234958i
$165$	18.2963			1.42436
$166$	−15.9415	+	21.9416i	−1.23730	+	1.70300i
$167$	−14.1806	−	14.1806i	−1.09733	−	1.09733i	−0.994722	−	0.102610i	$-0.967281\pi$
$167$	−14.1806	−	14.1806i	−1.09733	−	1.09733i	−0.102610	−	0.994722i	$-0.532719\pi$
$168$	−1.64905	−	5.07525i	−0.127227	−	0.391564i
$169$	12.0704	−	3.92192i	0.928495	−	0.301686i
$170$	6.08330	−	0.963500i	0.466568	−	0.0738970i
$171$	−7.07506	−	1.12058i	−0.541043	−	0.0856928i
$172$	−0.0966661	−	0.0314087i	−0.00737072	−	0.00239489i
$173$		−	20.7868i		−	1.58039i	−0.612857	−	0.790194i	$-0.709980\pi$
$173$		−	20.7868i		−	1.58039i	0.612857	−	0.790194i	$-0.290020\pi$
$174$	1.32010	−	4.06285i	0.100076	−	0.308004i
$175$	1.63259	−	0.831845i	0.123412	−	0.0628816i
$176$	−6.47198	+	12.7020i	−0.487844	+	0.957448i
$177$	−1.06197	−	6.70500i	−0.0798223	−	0.503978i
$178$	3.62255	−	3.62255i	0.271522	−	0.271522i
$179$	10.9045	+	5.55613i	0.815041	+	0.415284i	0.811243	−	0.584708i	$-0.198791\pi$
$179$	10.9045	+	5.55613i	0.815041	+	0.415284i	0.00379786	+	0.999993i	$0.498791\pi$
$180$	−3.47536	+	2.52500i	−0.259038	+	0.188202i
$181$	−2.35684	−	4.62555i	−0.175182	−	0.343815i	0.786675	−	0.617368i	$-0.211801\pi$
$181$	−2.35684	−	4.62555i	−0.175182	−	0.343815i	−0.961857	+	0.273553i	$0.911801\pi$
$182$	0.726446	+	0.527794i	0.0538477	+	0.0391227i
$183$	−4.38587	+	27.6913i	−0.324213	+	2.04700i
$184$	−10.9684	−	15.0967i	−0.808599	−	1.11294i
$185$	−6.96129	−	9.58139i	−0.511804	−	0.704438i
$186$	−2.65988	+	16.7938i	−0.195032	+	1.23138i
$187$	−3.46433	−	2.51698i	−0.253337	−	0.184060i
$188$	0.830208	+	1.62938i	0.0605492	+	0.118834i
$189$	0.627609	−	0.455984i	0.0456518	−	0.0331680i
$190$	10.0869	+	5.13951i	0.731777	+	0.372859i
$191$	9.34306	−	9.34306i	0.676040	−	0.676040i	−0.283062	−	0.959102i	$-0.591350\pi$
$191$	9.34306	−	9.34306i	0.676040	−	0.676040i	0.959102	+	0.283062i	$0.0913502\pi$
$192$	1.58870	+	10.0307i	0.114655	+	0.723900i
$193$	3.11386	−	6.11130i	0.224141	−	0.439901i	−0.751361	−	0.659891i	$-0.770602\pi$
$193$	3.11386	−	6.11130i	0.224141	−	0.439901i	0.975502	+	0.219990i	$0.0706024\pi$
$194$	24.3073	−	12.3852i	1.74516	−	0.889203i
$195$	−1.06849	+	3.28848i	−0.0765164	+	0.235493i
$196$		−	0.614531i		−	0.0438951i
$197$	14.6098	+	4.74702i	1.04091	+	0.338211i	0.779094	−	0.626907i	$-0.215680\pi$
$197$	14.6098	+	4.74702i	1.04091	+	0.338211i	0.261813	+	0.965119i	$0.415680\pi$
$198$	12.5503	+	1.98777i	0.891912	+	0.141265i
$199$	2.69875	−	0.427440i	0.191310	−	0.0303004i	−0.0600444	−	0.998196i	$-0.519124\pi$
$199$	2.69875	−	0.427440i	0.191310	−	0.0303004i	0.251354	+	0.967895i	$0.419124\pi$
$200$	−3.90387	+	1.26845i	−0.276046	+	0.0896927i
$201$	−0.704425	−	2.16800i	−0.0496863	−	0.152919i
$202$	−21.7662	−	21.7662i	−1.53147	−	1.53147i
$203$	−0.651912	+	0.897279i	−0.0457552	+	0.0629767i
$204$	2.13324			0.149357
$205$	12.7983	−	10.7855i	0.893872	−	0.753295i
$206$	6.56414			0.457345
$207$	−13.0937	+	18.0220i	−0.910078	+	1.25262i
$208$	−1.90503	−	1.90503i	−0.132090	−	0.132090i
$209$	−2.43220	−	7.48554i	−0.168239	−	0.517786i
$210$	9.57511	−	3.11114i	0.660746	−	0.214689i
$211$	−8.70135	+	1.37816i	−0.599026	+	0.0948764i	−0.448581	−	0.893742i	$-0.648071\pi$
$211$	−8.70135	+	1.37816i	−0.599026	+	0.0948764i	−0.150445	+	0.988618i	$0.548071\pi$
$212$	−2.55813	−	0.405167i	−0.175693	−	0.0278270i
$213$	25.4029	+	8.25392i	1.74058	+	0.565549i
$214$		−	17.2554i		−	1.17955i
$215$	−0.133595	+	0.411163i	−0.00911110	+	0.0280411i
$216$	−1.54848	+	0.788991i	−0.105361	+	0.0536840i
$217$	2.00411	−	3.93329i	0.136048	−	0.267009i
$218$	3.52107	+	22.2312i	0.238477	+	1.50569i
$219$	−9.34843	+	9.34843i	−0.631708	+	0.631708i
$220$	−4.20562	−	2.14287i	−0.283543	−	0.144472i
$221$	0.654704	−	0.475670i	0.0440402	−	0.0319971i
$222$	−7.92298	−	15.5497i	−0.531756	−	1.04363i
$223$	7.93174	+	5.76274i	0.531148	+	0.385902i	0.820787	−	0.571234i	$-0.193535\pi$
$223$	7.93174	+	5.76274i	0.531148	+	0.385902i	−0.289639	+	0.957136i	$0.593535\pi$
$224$	−0.526250	+	3.32261i	−0.0351615	+	0.222001i
$225$	2.88025	+	3.96432i	0.192017	+	0.264288i
$226$	16.3721	+	22.5343i	1.08906	+	1.49896i
$227$	−3.46866	+	21.9003i	−0.230223	+	1.45357i	0.553701	+	0.832716i	$0.313215\pi$
$227$	−3.46866	+	21.9003i	−0.230223	+	1.45357i	−0.783924	+	0.620857i	$0.786785\pi$
$228$	3.17215	+	2.30470i	0.210081	+	0.152632i
$229$	−5.20228	−	10.2101i	−0.343777	−	0.674699i	0.652786	−	0.757542i	$-0.273600\pi$
$229$	−5.20228	−	10.2101i	−0.343777	−	0.674699i	−0.996563	+	0.0828428i	$0.973600\pi$
$230$	28.4818	−	20.6932i	1.87804	−	1.36447i
$231$	−6.23678	−	3.17780i	−0.410350	−	0.209084i
$232$	1.75691	−	1.75691i	0.115347	−	0.115347i
$233$	−4.39853	−	27.7713i	−0.288158	−	1.81936i	−0.528806	−	0.848743i	$-0.677360\pi$
$233$	−4.39853	−	27.7713i	−0.288158	−	1.81936i	0.240648	−	0.970612i	$-0.422640\pi$
$234$	−1.09020	+	2.13965i	−0.0712689	+	0.139873i
$235$	6.93044	−	3.53124i	0.452092	−	0.230352i
$236$	−0.541187	+	1.66560i	−0.0352283	+	0.108421i
$237$			24.5744i			1.59628i
$238$	−2.24100	−	0.728145i	−0.145263	−	0.0471987i
$239$	8.16878	+	1.29381i	0.528395	+	0.0836895i	0.414931	−	0.909853i	$-0.363806\pi$
$239$	8.16878	+	1.29381i	0.528395	+	0.0836895i	0.113463	+	0.993542i	$0.463806\pi$
$240$	−29.8352	+	4.72543i	−1.92585	+	0.305025i
$241$	−11.2755	+	3.66363i	−0.726318	+	0.235995i	−0.648760	−	0.760993i	$-0.724712\pi$
$241$	−11.2755	+	3.66363i	−0.726318	+	0.235995i	−0.0775578	+	0.996988i	$0.524712\pi$
$242$	−1.18189	−	3.63747i	−0.0759746	−	0.233826i
$243$	14.9809	+	14.9809i	0.961022	+	0.961022i
$244$	4.25137	−	5.85151i	0.272166	−	0.374604i
$245$	−2.61387			−0.166994
$246$	21.1133	−	12.7474i	1.34613	−	0.812741i
$247$	1.48745			0.0946443
$248$	−5.81283	+	8.00067i	−0.369115	+	0.508043i
$249$	28.2524	+	28.2524i	1.79042	+	1.79042i
$250$	4.13721	+	12.7330i	0.261660	+	0.805306i
$251$	−18.7226	+	6.08333i	−1.18176	+	0.383976i	−0.833019	−	0.553244i	$-0.813390\pi$
$251$	−18.7226	+	6.08333i	−1.18176	+	0.383976i	−0.348738	+	0.937220i	$0.613390\pi$
$252$	1.62323	−	0.257094i	0.102254	−	0.0161954i
$253$	−24.1753	−	3.82899i	−1.51989	−	0.240727i
$254$	26.6496	+	8.65898i	1.67214	+	0.543313i
$255$		−	9.07360i		−	0.568211i
$256$	4.17139	−	12.8382i	0.260712	−	0.802389i
$257$	2.50494	−	1.27633i	0.156254	−	0.0796152i	−0.374115	−	0.927382i	$-0.622053\pi$
$257$	2.50494	−	1.27633i	0.156254	−	0.0796152i	0.530369	+	0.847767i	$0.322053\pi$
$258$	−0.289218	+	0.567622i	−0.0180059	+	0.0353386i
$259$	0.708794	+	4.47515i	0.0440423	+	0.278072i
$260$	0.630755	−	0.630755i	0.0391178	−	0.0391178i
$261$	−2.64281	−	1.34658i	−0.163586	−	0.0833512i
$262$	24.2916	−	17.6489i	1.50074	−	1.09035i
$263$	−5.74836	−	11.2818i	−0.354459	−	0.695665i	0.643078	−	0.765800i	$-0.277657\pi$
$263$	−5.74836	−	11.2818i	−0.354459	−	0.695665i	−0.997538	+	0.0701351i	$0.977657\pi$
$264$	12.6862	+	9.21705i	0.780781	+	0.567270i
$265$	−1.72335	+	10.8808i	−0.105865	+	0.668403i
$266$	−2.54572	−	3.50388i	−0.156088	−	0.214837i
$267$	−4.43618	−	6.10587i	−0.271490	−	0.373673i
$268$	−0.0919965	+	0.580843i	−0.00561958	+	0.0354807i
$269$	−3.38295	−	2.45786i	−0.206262	−	0.149858i	0.479859	−	0.877346i	$-0.340688\pi$
$269$	−3.38295	−	2.45786i	−0.206262	−	0.149858i	−0.686121	+	0.727488i	$0.740688\pi$
$270$	−1.48853	−	2.92141i	−0.0905892	−	0.177791i
$271$	−14.2794	+	10.3746i	−0.867414	+	0.630214i	−0.929892	−	0.367833i	$-0.880100\pi$
$271$	−14.2794	+	10.3746i	−0.867414	+	0.630214i	0.0624774	+	0.998046i	$0.480100\pi$
$272$	6.29924	+	3.20962i	0.381947	+	0.194612i
$273$	0.935386	−	0.935386i	0.0566122	−	0.0566122i
$274$	2.13228	+	13.4627i	0.128816	+	0.813309i
$275$	−2.44436	+	4.79732i	−0.147400	+	0.289289i
$276$	10.8646	−	5.53577i	0.653969	−	0.333214i
$277$	−9.89217	+	30.4450i	−0.594363	+	1.82926i	−0.0364893	+	0.999334i	$0.511617\pi$
$277$	−9.89217	+	30.4450i	−0.594363	+	1.82926i	−0.557873	+	0.829926i	$0.688383\pi$
$278$			13.4195i			0.804847i
$279$	11.2279	+	3.64815i	0.672194	+	0.218409i
$280$	5.78358	+	0.916030i	0.345635	+	0.0547432i
$281$	19.3830	−	3.06996i	1.15629	−	0.183139i	0.451312	−	0.892366i	$-0.350956\pi$
$281$	19.3830	−	3.06996i	1.15629	−	0.183139i	0.704980	+	0.709228i	$0.250956\pi$
$282$	10.9008	−	3.54188i	0.649131	−	0.210916i
$283$	−0.694881	−	2.13862i	−0.0413064	−	0.127128i	0.928277	−	0.371890i	$-0.121290\pi$
$283$	−0.694881	−	2.13862i	−0.0413064	−	0.127128i	−0.969583	+	0.244762i	$0.921290\pi$
$284$	−4.87247	−	4.87247i	−0.289128	−	0.289128i
$285$	9.80289	−	13.4925i	0.580673	−	0.799228i
$286$	−2.63856			−0.156022
$287$	−6.23593	+	1.45366i	−0.368096	+	0.0858070i
$288$	−8.99653			−0.530126
$289$	8.74411	−	12.0352i	0.514360	−	0.707955i
$290$	3.31463	+	3.31463i	0.194642	+	0.194642i
$291$	−12.4193	−	38.2227i	−0.728034	−	2.24066i
$292$	3.24374	−	1.05396i	0.189826	−	0.0616781i
$293$	−4.61560	+	0.731040i	−0.269646	+	0.0427078i	−0.289793	−	0.957089i	$-0.593587\pi$
$293$	−4.61560	+	0.731040i	−0.269646	+	0.0427078i	0.0201469	+	0.999797i	$0.493587\pi$
$294$	−3.80430	−	0.602541i	−0.221871	−	0.0351409i
$295$	7.08453	+	2.30190i	0.412477	+	0.134022i
$296$		−	10.1504i		−	0.589977i
$297$	−0.704427	+	2.16800i	−0.0408750	+	0.125800i
$298$	−33.3974	+	17.0168i	−1.93466	+	0.985758i
$299$	2.10003	−	4.12154i	0.121448	−	0.238355i
$300$	−0.419594	−	2.64921i	−0.0242253	−	0.152952i
$301$	0.116952	−	0.116952i	0.00674103	−	0.00674103i
$302$	−9.93273	−	5.06098i	−0.571565	−	0.291227i
$303$	−36.6873	+	26.6549i	−2.10763	+	1.53128i
$304$	5.89942	+	11.5783i	0.338355	+	0.664059i
$305$	−24.8890	−	18.0829i	−1.42514	−	1.03542i
$306$	0.985788	−	6.22402i	0.0563538	−	0.355804i
$307$	−12.6734	−	17.4434i	−0.723310	−	0.995550i	−0.999407	−	0.0344207i	$-0.989041\pi$
$307$	−12.6734	−	17.4434i	−0.723310	−	0.995550i	0.276098	−	0.961130i	$-0.410959\pi$
$308$	1.06141	+	1.46091i	0.0604797	+	0.0832431i
$309$	1.51276	−	9.55120i	0.0860580	−	0.543349i
$310$	−15.0943	−	10.9666i	−0.857298	−	0.622864i
$311$	2.13606	+	4.19225i	0.121125	+	0.237720i	0.943605	−	0.331073i	$-0.107411\pi$
$311$	2.13606	+	4.19225i	0.121125	+	0.237720i	−0.822481	+	0.568793i	$0.807411\pi$
$312$	−2.39749	+	1.74188i	−0.135731	+	0.0986146i
$313$	3.40375	+	1.73430i	0.192392	+	0.0980284i	0.547533	−	0.836784i	$-0.315567\pi$
$313$	3.40375	+	1.73430i	0.192392	+	0.0980284i	−0.355141	+	0.934813i	$0.615567\pi$
$314$	0.549190	−	0.549190i	0.0309926	−	0.0309926i
$315$	−1.09353	−	6.90429i	−0.0616135	−	0.389012i
$316$	2.87816	−	5.64871i	0.161909	−	0.317765i
$317$	12.9349	−	6.59065i	0.726495	−	0.370168i	−0.0513022	−	0.998683i	$-0.516337\pi$
$317$	12.9349	−	6.59065i	0.726495	−	0.370168i	0.777797	+	0.628516i	$0.216337\pi$
$318$	−5.01643	+	15.4390i	−0.281308	+	0.865775i
$319$		−	3.25906i		−	0.182472i
$320$	−10.5984	−	3.44364i	−0.592470	−	0.192505i
$321$	−25.1075	−	3.97664i	−1.40137	−	0.221955i
$322$	−13.3029	+	2.10697i	−0.741342	+	0.117417i
$323$	−3.71227	+	1.20619i	−0.206556	+	0.0671142i
$324$	−1.87450	−	5.76911i	−0.104139	−	0.320506i
$325$	−0.719498	−	0.719498i	−0.0399106	−	0.0399106i
$326$	9.01589	−	12.4093i	0.499344	−	0.687288i
$327$	33.1591			1.83370
$328$	14.3074	−	1.03107i	0.789994	−	0.0569314i
$329$	−2.97575			−0.164058
$330$	−17.3892	+	23.9341i	−0.957242	+	1.31753i
$331$	−1.05073	−	1.05073i	−0.0577532	−	0.0577532i	0.677640	−	0.735394i	$-0.263003\pi$
$331$	−1.05073	−	1.05073i	−0.0577532	−	0.0577532i	−0.735394	+	0.677640i	$0.763003\pi$
$332$	−3.18522	−	9.80310i	−0.174812	−	0.538015i
$333$	−11.5242	+	3.74443i	−0.631520	+	0.205193i
$334$	32.0279	−	5.07271i	1.75249	−	0.277567i
$335$	2.47058	+	0.391301i	0.134982	+	0.0213791i
$336$	10.9909	+	3.57115i	0.599601	+	0.194822i
$337$		−	14.2609i		−	0.776840i	−0.921483	−	0.388420i	$-0.873021\pi$
$337$		−	14.2609i		−	0.776840i	0.921483	−	0.388420i	$-0.126979\pi$
$338$	−6.34156	+	19.5173i	−0.344935	+	1.06160i
$339$	36.5618	−	18.6291i	1.98576	−	1.01180i
$340$	−1.06270	+	2.08568i	−0.0576333	+	0.113112i
$341$	2.02922	+	12.8120i	0.109889	+	0.693809i
$342$	8.19015	−	8.19015i	0.442873	−	0.442873i
$343$	0.891007	+	0.453990i	0.0481098	+	0.0245132i
$344$	−0.299761	+	0.217789i	−0.0161620	+	0.0117424i
$345$	−23.5460	−	46.2116i	−1.26767	−	2.48795i
$346$	27.1920	+	19.7561i	1.46185	+	1.06210i
$347$	−3.61709	+	22.8374i	−0.194175	+	1.22597i	0.677364	+	0.735648i	$0.263122\pi$
$347$	−3.61709	+	22.8374i	−0.194175	+	1.22597i	−0.871539	+	0.490326i	$0.836878\pi$
$348$	0.954311	+	1.31350i	0.0511564	+	0.0704108i
$349$	11.8035	+	16.2462i	0.631829	+	0.869639i	0.998147	−	0.0608513i	$-0.0193815\pi$
$349$	11.8035	+	16.2462i	0.631829	+	0.869639i	−0.366317	+	0.930490i	$0.619382\pi$
$350$	−0.463474	+	2.92626i	−0.0247737	+	0.156415i
$351$	−0.348528	−	0.253220i	−0.0186030	−	0.0135159i
$352$	−4.48775	−	8.80770i	−0.239198	−	0.469452i
$353$	17.0338	−	12.3758i	0.906618	−	0.658697i	−0.0335390	−	0.999437i	$-0.510678\pi$
$353$	17.0338	−	12.3758i	0.906618	−	0.658697i	0.940157	+	0.340741i	$0.110678\pi$
$354$	9.78040	+	4.98336i	0.519822	+	0.264863i
$355$	−20.7247	+	20.7247i	−1.09995	+	1.09995i
$356$	0.304585	+	1.92308i	0.0161430	+	0.101923i
$357$	−1.57595	+	3.09298i	−0.0834082	+	0.163698i
$358$	−17.6321	+	8.98398i	−0.931883	+	0.474818i
$359$	2.52059	−	7.75759i	0.133032	−	0.409430i	−0.862247	−	0.506488i	$-0.830943\pi$
$359$	2.52059	−	7.75759i	0.133032	−	0.409430i	0.995279	+	0.0970583i	$0.0309433\pi$
$360$			15.6600i			0.825356i
$361$	11.2468	+	3.65429i	0.591935	+	0.192331i
$362$	8.29086	+	1.31314i	0.435758	+	0.0690173i
$363$	−5.56511	+	0.881427i	−0.292093	+	0.0462629i
$364$	−0.324563	+	0.105457i	−0.0170117	+	0.00552744i
$365$	−4.48293	−	13.7970i	−0.234647	−	0.722170i
$366$	−32.0557	−	32.0557i	−1.67558	−	1.67558i
$367$	15.4092	−	21.2089i	0.804354	−	1.10710i	−0.187816	−	0.982204i	$-0.560141\pi$
$367$	15.4092	−	21.2089i	0.804354	−	1.10710i	0.992170	−	0.124894i	$-0.0398590\pi$
$368$	40.4109			2.10656
$369$	−6.44857	−	15.8635i	−0.335699	−	0.825820i
$370$	19.1500			0.995559
$371$	2.47729	−	3.40970i	0.128615	−	0.177023i
$372$	−4.56942	−	4.56942i	−0.236913	−	0.236913i
$373$	5.18193	+	15.9483i	0.268310	+	0.825773i	0.990912	+	0.134509i	$0.0429458\pi$
$373$	5.18193	+	15.9483i	0.268310	+	0.825773i	−0.722602	+	0.691264i	$0.757054\pi$
$374$	6.58513	−	2.13964i	0.340509	−	0.110638i
$375$	19.4807	−	3.08544i	1.00598	−	0.159332i
$376$	6.58431	+	1.04285i	0.339560	+	0.0537810i
$377$	0.585767	+	0.190327i	0.0301685	+	0.00980235i
$378$			1.25438i			0.0645182i
$379$	−9.42644	+	29.0116i	−0.484204	+	1.49023i	0.348928	+	0.937150i	$0.386546\pi$
$379$	−9.42644	+	29.0116i	−0.484204	+	1.49023i	−0.833131	+	0.553076i	$0.813454\pi$
$380$	−3.83356	+	1.95330i	−0.196658	+	0.100202i
$381$	18.7410	−	36.7812i	0.960128	−	1.88436i
$382$	3.34221	+	21.1019i	0.171002	+	1.07967i
$383$	0.460896	−	0.460896i	0.0235507	−	0.0235507i	−0.695233	−	0.718784i	$-0.744699\pi$
$383$	0.460896	−	0.460896i	0.0235507	−	0.0235507i	0.718784	+	0.695233i	$0.244699\pi$
$384$	−28.9114	−	14.7311i	−1.47538	−	0.751744i
$385$	6.21389	−	4.51465i	0.316689	−	0.230088i
$386$	5.03496	+	9.88167i	0.256273	+	0.502964i
$387$	0.357847	+	0.259991i	0.0181904	+	0.0132161i
$388$	−1.62194	+	10.2405i	−0.0823415	+	0.519883i
$389$	−4.30955	−	5.93159i	−0.218503	−	0.300743i	0.685668	−	0.727914i	$-0.259510\pi$
$389$	−4.30955	−	5.93159i	−0.218503	−	0.300743i	−0.904171	+	0.427171i	$0.859510\pi$
$390$	−3.28628	−	4.52318i	−0.166407	−	0.229040i
$391$	−1.89890	+	11.9892i	−0.0960313	+	0.606318i
$392$	−1.81239	−	1.31678i	−0.0915395	−	0.0665073i
$393$	−20.0820	−	39.4131i	−1.01300	−	1.98813i
$394$	−20.0952	+	14.6001i	−1.01238	+	0.735540i
$395$	−24.0264	−	12.2421i	−1.20890	−	0.615965i
$396$	−3.41481	+	3.41481i	−0.171601	+	0.171601i
$397$	2.18063	+	13.7680i	0.109443	+	0.690994i	0.980011	+	0.198946i	$0.0637517\pi$
$397$	2.18063	+	13.7680i	0.109443	+	0.690994i	−0.870568	+	0.492048i	$0.836248\pi$
$398$	−2.00580	+	3.93660i	−0.100541	+	0.197324i
$399$	−5.68503	+	2.89667i	−0.284608	+	0.145015i
$400$	2.74692	−	8.45416i	0.137346	−	0.422708i
$401$			5.83545i			0.291408i	0.989328	+	0.145704i	$0.0465448\pi$
$401$			5.83545i			0.291408i	−0.989328	+	0.145704i	$0.953455\pi$
$402$	3.50555	+	1.13902i	0.174841	+	0.0568092i
$403$	−2.42127	−	0.383492i	−0.120612	−	0.0191031i
$404$	11.5549	−	1.83011i	0.574876	−	0.0910514i
$405$	−24.5385	+	7.97305i	−1.21933	+	0.396184i
$406$	−0.554178	−	1.70558i	−0.0275034	−	0.0846467i
$407$	−9.41445	−	9.41445i	−0.466657	−	0.466657i
$408$	4.57097	−	6.29140i	0.226297	−	0.311471i
$409$	3.22194			0.159315			0.0796574	−	0.996822i	$-0.474617\pi$
$409$	3.22194			0.159315			0.0796574	+	0.996822i	$0.474617\pi$
$410$	1.94525	+	26.9928i	0.0960690	+	1.33308i
$411$	20.0804			0.990491
$412$	−1.46637	+	2.01828i	−0.0722428	+	0.0994337i
$413$	−2.01514	−	2.01514i	−0.0991588	−	0.0991588i
$414$	−11.1308	−	34.2569i	−0.547047	−	1.68364i
$415$	−41.6968	+	13.5481i	−2.04682	+	0.665051i
$416$	1.84513	−	0.292241i	0.0904652	−	0.0143283i
$417$	19.5261	+	3.09264i	0.956199	+	0.151447i
$418$	12.1038	+	3.93275i	0.592014	+	0.192357i
$419$		−	11.7643i		−	0.574723i	−0.957822	−	0.287362i	$-0.907222\pi$
$419$		−	11.7643i		−	0.574723i	0.957822	−	0.287362i	$-0.0927781\pi$
$420$	−1.18241	+	3.63907i	−0.0576955	+	0.177569i
$421$	−20.2251	+	10.3052i	−0.985711	+	0.502245i	−0.871068	−	0.491162i	$-0.836572\pi$
$421$	−20.2251	+	10.3052i	−0.985711	+	0.502245i	−0.114643	+	0.993407i	$0.536572\pi$
$422$	6.46712	−	12.6924i	0.314814	−	0.617858i
$423$	−1.24493	−	7.86017i	−0.0605305	−	0.382175i
$424$	−6.67632	+	6.67632i	−0.324231	+	0.324231i
$425$	2.37912	+	1.21222i	0.115404	+	0.0588013i
$426$	−34.9408	+	25.3859i	−1.69289	+	1.22995i
$427$	5.34334	+	10.4869i	0.258582	+	0.507497i
$428$	5.30552	+	3.85469i	0.256452	+	0.186323i
$429$	−0.608080	+	3.83927i	−0.0293584	+	0.185361i
$430$	−0.410888	−	0.565538i	−0.0198148	−	0.0272727i
$431$	−9.10958	−	12.5383i	−0.438793	−	0.603947i	0.531150	−	0.847278i	$-0.321760\pi$
$431$	−9.10958	−	12.5383i	−0.438793	−	0.603947i	−0.969943	+	0.243331i	$0.921760\pi$
$432$	0.588752	−	3.71723i	0.0283263	−	0.178845i
$433$	19.1464	+	13.9107i	0.920119	+	0.668506i	0.943554	−	0.331219i	$-0.107460\pi$
$433$	19.1464	+	13.9107i	0.920119	+	0.668506i	−0.0234343	+	0.999725i	$0.507460\pi$
$434$	3.24055	+	6.35994i	0.155551	+	0.305287i
$435$	5.58687	−	4.05910i	0.267870	−	0.194619i
$436$	−7.62203	−	3.88362i	−0.365029	−	0.185991i
$437$	−15.7765	+	15.7765i	−0.754690	+	0.754690i
$438$	−3.34413	−	21.1140i	−0.159789	−	1.00887i
$439$	−0.685915	+	1.34618i	−0.0327369	+	0.0642498i	−0.906796	−	0.421570i	$-0.861479\pi$
$439$	−0.685915	+	1.34618i	−0.0327369	+	0.0642498i	0.874059	+	0.485820i	$0.161479\pi$
$440$	−15.3313	+	7.81171i	−0.730893	+	0.372409i
$441$	−0.826414	+	2.54344i	−0.0393531	+	0.121116i
$442$			1.30853i			0.0622405i
$443$	16.4420	+	5.34232i	0.781182	+	0.253822i	0.672345	−	0.740238i	$-0.265287\pi$
$443$	16.4420	+	5.34232i	0.781182	+	0.253822i	0.108837	+	0.994060i	$0.465287\pi$
$444$	6.55102	+	1.03758i	0.310897	+	0.0492413i
$445$	8.17967	−	1.29553i	0.387754	−	0.0614142i
$446$	−15.0770	+	4.89880i	−0.713915	+	0.231965i
$447$	17.0638	+	52.5168i	0.807088	+	2.48396i
$448$	3.01465	+	3.01465i	0.142429	+	0.142429i
$449$	−13.6670	+	18.8110i	−0.644987	+	0.887748i	−0.998869	−	0.0475417i	$-0.984861\pi$
$449$	−13.6670	+	18.8110i	−0.644987	+	0.887748i	0.353882	+	0.935290i	$0.384861\pi$
$450$	−7.92334			−0.373510
$451$	12.3138	−	14.2264i	0.579834	−	0.669896i
$452$	−10.5860			−0.497924
$453$	−9.65311	+	13.2864i	−0.453543	+	0.624248i
$454$	−25.3520	−	25.3520i	−1.18983	−	1.18983i
$455$	0.448554	+	1.38051i	0.0210285	+	0.0647191i
$456$	13.5941	−	4.41701i	0.636604	−	0.206845i
$457$	−16.7868	+	2.65877i	−0.785253	+	0.124372i	−0.536170	−	0.844110i	$-0.680129\pi$
$457$	−16.7868	+	2.65877i	−0.785253	+	0.124372i	−0.249083	+	0.968482i	$0.580129\pi$
$458$	18.3005	+	2.89852i	0.855128	+	0.135439i
$459$	1.07517	+	0.349343i	0.0501846	+	0.0163060i
$460$			13.3800i			0.623847i
$461$	−7.78136	+	23.9486i	−0.362414	+	1.11540i	0.589171	+	0.808009i	$0.299455\pi$
$461$	−7.78136	+	23.9486i	−0.362414	+	1.11540i	−0.951585	+	0.307387i	$0.900545\pi$
$462$	10.0846	−	5.13835i	0.469177	−	0.239057i
$463$	−3.32356	+	6.52286i	−0.154459	+	0.303143i	−0.955249	−	0.295802i	$-0.904413\pi$
$463$	−3.32356	+	6.52286i	−0.154459	+	0.303143i	0.800790	+	0.598945i	$0.204413\pi$
$464$	0.841726	+	5.31445i	0.0390762	+	0.246717i
$465$	−19.4357	+	19.4357i	−0.901310	+	0.901310i
$466$	40.5092	+	20.6405i	1.87655	+	0.956151i
$467$	−13.9048	+	10.1024i	−0.643437	+	0.467484i	−0.861029	−	0.508555i	$-0.830180\pi$
$467$	−13.9048	+	10.1024i	−0.643437	+	0.467484i	0.217592	+	0.976040i	$0.430180\pi$
$468$	−0.414338	−	0.813184i	−0.0191528	−	0.0375894i
$469$	−0.774200	−	0.562489i	−0.0357492	−	0.0259733i
$470$	−1.96748	+	12.4221i	−0.0907529	+	0.572991i
$471$	−0.672538	−	0.925670i	−0.0309889	−	0.0426526i
$472$	3.75261	+	5.16503i	0.172728	+	0.237740i
$473$	−0.0760289	+	0.480028i	−0.00349581	+	0.0220717i
$474$	−32.1467	−	23.3560i	−1.47655	−	1.07277i
$475$	2.22811	+	4.37292i	0.102233	+	0.200643i
$476$	0.724503	−	0.526382i	0.0332075	−	0.0241267i
$477$	10.0428	+	5.11706i	0.459828	+	0.234294i
$478$	−9.45626	+	9.45626i	−0.432519	+	0.432519i
$479$	1.01945	+	6.43658i	0.0465801	+	0.294095i	0.999971	−	0.00764359i	$-0.00243305\pi$
$479$	1.01945	+	6.43658i	0.0465801	+	0.294095i	−0.953391	+	0.301738i	$0.902433\pi$
$480$	9.50927	−	18.6630i	0.434037	−	0.851845i
$481$	2.24190	−	1.14231i	0.102222	−	0.0520847i
$482$	5.92391	−	18.2319i	0.269827	−	0.830441i
$483$			19.8421i			0.902846i
$484$	1.38244	+	0.449182i	0.0628382	+	0.0204174i
$485$	43.5574	+	6.89881i	1.97784	+	0.313259i
$486$	−33.8352	+	5.35897i	−1.53479	+	0.243088i
$487$	−39.4778	+	12.8271i	−1.78891	+	0.581253i	−0.999469	−	0.0325716i	$-0.989630\pi$
$487$	−39.4778	+	12.8271i	−1.78891	+	0.581253i	−0.789443	+	0.613824i	$0.789630\pi$
$488$	−8.14784	−	25.0765i	−0.368835	−	1.13516i
$489$	−15.9785	−	15.9785i	−0.722572	−	0.722572i
$490$	2.48427	−	3.41931i	0.112228	−	0.154468i
$491$	−16.6257			−0.750309			−0.375155	−	0.926962i	$-0.622410\pi$
$491$	−16.6257			−0.750309			−0.375155	+	0.926962i	$0.622410\pi$
$492$	−0.797066	+	9.33936i	−0.0359345	+	0.421051i
$493$	−1.61625			−0.0727923
$494$	−1.41370	+	1.94580i	−0.0636056	+	0.0875456i
$495$	14.5247	+	14.5247i	0.652835	+	0.652835i
$496$	−6.61798	−	20.3681i	−0.297156	−	0.914553i
$497$	10.6642	−	3.46500i	0.478353	−	0.155426i
$498$	−63.8098	+	10.1065i	−2.85939	+	0.452882i
$499$	−24.7185	−	3.91503i	−1.10655	−	0.175261i	−0.423689	−	0.905808i	$-0.639265\pi$
$499$	−24.7185	−	3.91503i	−1.10655	−	0.175261i	−0.682863	+	0.730547i	$0.739265\pi$
$500$	−4.83925	−	1.57237i	−0.216418	−	0.0703184i
$501$		−	47.7714i		−	2.13427i
$502$	9.83645	−	30.2735i	0.439022	−	1.35117i
$503$	36.2929	−	18.4922i	1.61822	−	0.824525i	0.618988	−	0.785401i	$-0.287543\pi$
$503$	36.2929	−	18.4922i	1.61822	−	0.824525i	0.999234	−	0.0391249i	$-0.0124570\pi$
$504$	2.71992	−	5.33814i	0.121155	−	0.237780i
$505$	−7.78425	−	49.1478i	−0.346395	−	2.18705i
$506$	27.9856	−	27.9856i	1.24411	−	1.24411i
$507$	26.9374	+	13.7253i	1.19633	+	0.609561i
$508$	−8.61567	+	6.25965i	−0.382258	+	0.277727i
$509$	−1.10919	−	2.17691i	−0.0491640	−	0.0964898i	0.865117	−	0.501569i	$-0.167244\pi$
$509$	−1.10919	−	2.17691i	−0.0491640	−	0.0964898i	−0.914281	+	0.405080i	$0.867244\pi$
$510$	11.8695	+	8.62373i	0.525592	+	0.381865i
$511$	−0.868218	+	5.48171i	−0.0384077	+	0.242497i
$512$	−3.18364	−	4.38190i	−0.140698	−	0.193655i
$513$	1.22136	+	1.68106i	0.0539245	+	0.0742207i
$514$	−0.711124	+	4.48986i	−0.0313663	+	0.198039i
$515$	8.58463	+	6.23710i	0.378284	+	0.274839i
$516$	−0.109919	−	0.215728i	−0.00483891	−	0.00949689i
$517$	7.07419	−	5.13970i	0.311122	−	0.226044i
$518$	−6.52778	−	3.32607i	−0.286814	−	0.146139i
$519$	35.0130	−	35.0130i	1.53690	−	1.53690i
$520$	−0.508696	−	3.21178i	−0.0223078	−	0.140846i
$521$	13.6326	−	26.7555i	0.597255	−	1.17218i	−0.372485	−	0.928038i	$-0.621494\pi$
$521$	13.6326	−	26.7555i	0.597255	−	1.17218i	0.969740	−	0.244140i	$-0.0785056\pi$
$522$	4.27330	−	2.17735i	0.187037	−	0.0953002i
$523$	−1.18798	+	3.65624i	−0.0519469	+	0.159876i	−0.973665	−	0.227985i	$-0.926786\pi$
$523$	−1.18798	+	3.65624i	−0.0519469	+	0.159876i	0.921718	+	0.387862i	$0.126786\pi$
$524$			11.4116i			0.498518i
$525$	4.15107	+	1.34876i	0.181167	+	0.0588648i
$526$	20.2215	+	3.20278i	0.881701	+	0.139648i
$527$	6.35380	−	1.00634i	0.276776	−	0.0438370i
$528$	−32.2964	+	10.4937i	−1.40552	+	0.456681i
$529$	14.3335	+	44.1138i	0.623194	+	1.91799i
$530$	−12.5957	−	12.5957i	−0.547124	−	0.547124i
$531$	4.47977	−	6.16587i	0.194405	−	0.267576i
$532$	1.64603			0.0713645
$533$	1.83787	+	3.04403i	0.0796069	+	0.131852i
$534$	12.2036			0.528100
$535$	16.3957	−	22.5667i	0.708846	−	0.975643i
$536$	1.51591	+	1.51591i	0.0654774	+	0.0654774i
$537$	9.00876	+	27.7261i	0.388757	+	1.19647i
$538$	6.43044	−	2.08938i	0.277236	−	0.0900795i
$539$	−2.90230	+	0.459679i	−0.125011	+	0.0197998i
$540$	1.23077	+	0.194936i	0.0529641	+	0.00838869i
$541$	18.3692	+	5.96851i	0.789753	+	0.256606i	0.675999	−	0.736903i	$-0.263712\pi$
$541$	18.3692	+	5.96851i	0.789753	+	0.256606i	0.113754	+	0.993509i	$0.463712\pi$
$542$		−	28.5398i		−	1.22589i
$543$	3.82140	−	11.7611i	0.163992	−	0.504715i
$544$	−4.36797	+	2.22559i	−0.187275	+	0.0954214i
$545$	−16.5187	+	32.4198i	−0.707583	+	1.38871i
$546$	0.334607	+	2.11263i	0.0143199	+	0.0904121i
$547$	1.10164	−	1.10164i	0.0471029	−	0.0471029i	−0.683163	−	0.730266i	$-0.739396\pi$
$547$	1.10164	−	1.10164i	0.0471029	−	0.0471029i	0.730266	+	0.683163i	$0.239396\pi$
$548$	−4.61571	−	2.35182i	−0.197174	−	0.100465i
$549$	−25.4647	+	18.5012i	−1.08681	+	0.789613i
$550$	−3.95241	−	7.75704i	−0.168531	−	0.330761i
$551$	−2.40338	−	1.74616i	−0.102387	−	0.0743888i
$552$	6.95366	−	43.9037i	0.295967	−	1.86866i
$553$	6.06378	+	8.34608i	0.257858	+	0.354911i
$554$	−30.4246	−	41.8758i	−1.29262	−	1.77913i
$555$	4.41327	−	27.8643i	0.187333	−	1.18277i
$556$	−4.12611	−	2.99779i	−0.174986	−	0.127135i
$557$	−16.3118	−	32.0138i	−0.691154	−	1.35647i	−0.923411	−	0.383812i	$-0.874611\pi$
$557$	−16.3118	−	32.0138i	−0.691154	−	1.35647i	0.232257	−	0.972655i	$-0.425389\pi$
$558$	−15.4435	+	11.2203i	−0.653774	+	0.474995i
$559$	−0.0818378	−	0.0416984i	−0.00346137	−	0.00176366i
$560$	−8.96678	+	8.96678i	−0.378916	+	0.378916i
$561$	−1.59570	−	10.0748i	−0.0673704	−	0.425360i
$562$	−14.4060	+	28.2734i	−0.607682	+	1.19264i
$563$	−38.8884	+	19.8146i	−1.63895	+	0.835088i	−0.641250	+	0.767332i	$0.721584\pi$
$563$	−38.8884	+	19.8146i	−1.63895	+	0.835088i	−0.997702	+	0.0677551i	$0.978416\pi$
$564$	−1.34611	+	4.14290i	−0.0566814	+	0.174447i
$565$			45.0269i			1.89430i
$566$	3.45805	+	1.12359i	0.145353	+	0.0472279i
$567$	9.74941	+	1.54416i	0.409437	+	0.0648484i
$568$	−24.8104	+	3.92958i	−1.04102	+	0.164882i
$569$	2.40771	−	0.782312i	0.100936	−	0.0327962i	−0.258113	−	0.966115i	$-0.583101\pi$
$569$	2.40771	−	0.782312i	0.100936	−	0.0327962i	0.359050	+	0.933318i	$0.383101\pi$
$570$	8.33325	+	25.6471i	0.349042	+	1.07424i
$571$	−28.1520	−	28.1520i	−1.17813	−	1.17813i	−0.980221	−	0.197904i	$-0.936586\pi$
$571$	−28.1520	−	28.1520i	−1.17813	−	1.17813i	−0.197904	−	0.980221i	$-0.563414\pi$
$572$	0.589431	−	0.811283i	0.0246454	−	0.0339214i
$573$	31.4747			1.31487
$574$	4.02516	−	9.53907i	0.168007	−	0.398153i
$575$	15.2625			0.636490
$576$	−6.70172	+	9.22412i	−0.279238	+	0.384338i
$577$	−4.84662	−	4.84662i	−0.201767	−	0.201767i	0.598990	−	0.800757i	$-0.295569\pi$
$577$	−4.84662	−	4.84662i	−0.201767	−	0.201767i	−0.800757	+	0.598990i	$0.795569\pi$
$578$	7.43321	+	22.8771i	0.309181	+	0.951561i
$579$	15.5388	−	5.04885i	0.645769	−	0.209823i
$580$	−1.75961	+	0.278695i	−0.0730639	+	0.0115722i
$581$	16.5666	+	2.62389i	0.687298	+	0.108857i
$582$	61.8043	+	20.0814i	2.56187	+	0.832402i
$583$			12.3846i			0.512916i
$584$	3.84213	−	11.8249i	0.158989	−	0.489316i
$585$	−3.45882	+	1.76236i	−0.143005	+	0.0728646i
$586$	3.43046	−	6.73266i	0.141711	−	0.278123i
$587$	−5.98828	−	37.8085i	−0.247163	−	1.56052i	−0.729155	−	0.684349i	$-0.760087\pi$
$587$	−5.98828	−	37.8085i	−0.247163	−	1.56052i	0.481992	−	0.876176i	$-0.339913\pi$
$588$	1.03511	−	1.03511i	0.0426872	−	0.0426872i
$589$	10.5354	+	5.36805i	0.434103	+	0.221186i
$590$	−9.74449	+	7.07979i	−0.401174	+	0.291470i
$591$	16.6128	+	32.6045i	0.683360	+	1.34117i
$592$	17.7833	+	12.9204i	0.730891	+	0.531023i
$593$	−1.90808	+	12.0471i	−0.0783553	+	0.494716i	0.917035	+	0.398807i	$0.130576\pi$
$593$	−1.90808	+	12.0471i	−0.0783553	+	0.494716i	−0.995390	+	0.0959087i	$0.969424\pi$
$594$	−2.16655	−	2.98200i	−0.0888947	−	0.122353i
$595$	−2.23893	−	3.08163i	−0.0917873	−	0.126334i
$596$	2.22849	−	14.0701i	0.0912826	−	0.576336i
$597$	5.26573	+	3.82577i	0.215512	+	0.156578i
$598$	3.39564	+	6.66433i	0.138858	+	0.272525i
$599$	19.5164	−	14.1795i	0.797417	−	0.579357i	−0.112739	−	0.993625i	$-0.535962\pi$
$599$	19.5164	−	14.1795i	0.797417	−	0.579357i	0.910155	+	0.414268i	$0.135962\pi$
$600$	−8.71220	−	4.43909i	−0.355674	−	0.181225i
$601$	−16.8673	+	16.8673i	−0.688031	+	0.688031i	−0.961797	−	0.273765i	$-0.911731\pi$
$601$	−16.8673	+	16.8673i	−0.688031	+	0.688031i	0.273765	+	0.961797i	$0.411731\pi$
$602$	0.0418363	+	0.264144i	0.00170512	+	0.0107657i
$603$	1.16187	−	2.28030i	0.0473150	−	0.0928609i
$604$	3.77499	−	1.92345i	0.153602	−	0.0782642i
$605$	1.91057	−	5.88012i	0.0776756	−	0.239061i
$606$		−	73.3255i		−	2.97865i
$607$	−13.7423	−	4.46513i	−0.557781	−	0.181234i	0.0165413	−	0.999863i	$-0.494735\pi$
$607$	−13.7423	−	4.46513i	−0.557781	−	0.181234i	−0.574323	+	0.818629i	$0.694735\pi$
$608$	−8.89967	−	1.40957i	−0.360929	−	0.0571656i
$609$	−2.60944	+	0.413295i	−0.105740	+	0.0167475i
$610$	47.3100	−	15.3719i	1.91553	−	0.622392i
$611$	0.510655	+	1.57163i	0.0206589	+	0.0635815i
$612$	1.69349	+	1.69349i	0.0684553	+	0.0684553i
$613$	2.94566	−	4.05435i	0.118974	−	0.163754i	−0.745376	−	0.666644i	$-0.767730\pi$
$613$	2.94566	−	4.05435i	0.118974	−	0.163754i	0.864350	+	0.502890i	$0.167730\pi$
$614$	34.8636			1.40698
$615$	39.7243	+	3.39027i	1.60184	+	0.136709i
$616$	6.58288			0.265232
$617$	6.91031	−	9.51123i	0.278199	−	0.382908i	−0.646938	−	0.762543i	$-0.723951\pi$
$617$	6.91031	−	9.51123i	0.278199	−	0.382908i	0.925136	+	0.379635i	$0.123951\pi$
$618$	11.0566	+	11.0566i	0.444760	+	0.444760i
$619$	−5.43408	−	16.7244i	−0.218414	−	0.672210i	−0.998894	−	0.0470283i	$-0.985025\pi$
$619$	−5.43408	−	16.7244i	−0.218414	−	0.672210i	0.780479	−	0.625182i	$-0.214975\pi$
$620$	6.74386	−	2.19121i	0.270840	−	0.0880012i
$621$	6.38236	−	1.01087i	0.256115	−	0.0405647i
$622$	−7.51420	−	1.19013i	−0.301292	−	0.0477200i
$623$	−3.01328	−	0.979073i	−0.120724	−	0.0392257i
$624$		−	6.41763i		−	0.256911i
$625$	−9.51901	+	29.2965i	−0.380761	+	1.17186i
$626$	−5.50370	+	2.80428i	−0.219972	+	0.112081i
$627$	8.51179	−	16.7053i	0.339928	−	0.667147i
$628$	0.0461761	+	0.291544i	0.00184263	+	0.0116339i
$629$	−4.66887	+	4.66887i	−0.186160	+	0.186160i
$630$	10.0711	+	5.13148i	0.401242	+	0.204443i
$631$	19.6008	−	14.2408i	0.780296	−	0.566918i	−0.124772	−	0.992185i	$-0.539820\pi$
$631$	19.6008	−	14.2408i	0.780296	−	0.566918i	0.905068	+	0.425267i	$0.139820\pi$
$632$	−10.4922	−	20.5920i	−0.417356	−	0.819107i
$633$	−16.9778	−	12.3351i	−0.674808	−	0.490277i
$634$	−3.67207	+	23.1845i	−0.145836	+	0.920775i
$635$	26.6250	+	36.6462i	1.05658	+	1.45426i
$636$	−3.62642	−	4.99134i	−0.143797	−	0.197919i
$637$	0.0868723	−	0.548490i	0.00344200	−	0.0217320i
$638$	4.26331	+	3.09748i	0.168786	+	0.122630i
$639$	13.6139	+	26.7188i	0.538558	+	1.05698i
$640$	28.8053	−	20.9283i	1.13863	−	0.827262i
$641$	9.03987	+	4.60604i	0.357053	+	0.181928i	0.623311	−	0.781974i	$-0.285787\pi$
$641$	9.03987	+	4.60604i	0.357053	+	0.181928i	−0.266258	+	0.963902i	$0.585787\pi$
$642$	29.0647	−	29.0647i	1.14709	−	1.14709i
$643$	−0.841030	−	5.31005i	−0.0331670	−	0.209408i	0.965539	−	0.260257i	$-0.0838073\pi$
$643$	−0.841030	−	5.31005i	−0.0331670	−	0.209408i	−0.998706	+	0.0508490i	$0.983807\pi$
$644$	2.32392	−	4.56094i	0.0915751	−	0.179726i
$645$	−0.917584	+	0.467532i	−0.0361298	+	0.0184091i
$646$	1.95035	−	6.00256i	0.0767355	−	0.236168i
$647$			32.4218i			1.27463i	0.770603	+	0.637315i	$0.219955\pi$
$647$			32.4218i			1.27463i	−0.770603	+	0.637315i	$0.780045\pi$
$648$	−21.0309	−	6.83337i	−0.826173	−	0.268440i
$649$	8.27110	+	1.31001i	0.324669	+	0.0514225i
$650$	1.62503	−	0.257379i	0.0637389	−	0.0100953i
$651$	10.0009	−	3.24949i	0.391966	−	0.127357i
$652$	1.80144	+	5.54426i	0.0705498	+	0.217130i
$653$	−21.5099	−	21.5099i	−0.841748	−	0.841748i	0.147338	−	0.989086i	$-0.452929\pi$
$653$	−21.5099	−	21.5099i	−0.841748	−	0.841748i	−0.989086	+	0.147338i	$0.952929\pi$
$654$	−31.5151	+	43.3768i	−1.23234	+	1.69617i
$655$	48.5384			1.89655
$656$	−16.4054	+	26.3789i	−0.640524	+	1.02992i
$657$	−14.8427			−0.579067
$658$	2.82821	−	3.89270i	0.110255	−	0.151753i
$659$	12.9799	+	12.9799i	0.505625	+	0.505625i	0.913180	−	0.407556i	$-0.133619\pi$
$659$	12.9799	+	12.9799i	0.505625	+	0.505625i	−0.407556	+	0.913180i	$0.633619\pi$
$660$	−3.47447	−	10.6933i	−0.135244	−	0.416237i
$661$	30.1480	−	9.79567i	1.17262	−	0.381007i	0.343000	−	0.939335i	$-0.388557\pi$
$661$	30.1480	−	9.79567i	1.17262	−	0.381007i	0.829620	+	0.558328i	$0.188557\pi$
$662$	2.37313	−	0.375867i	0.0922344	−	0.0146085i
$663$	1.90399	+	0.301562i	0.0739449	+	0.0117117i
$664$	−35.7366	−	11.6115i	−1.38685	−	0.450615i
$665$		−	7.00129i		−	0.271498i
$666$	6.05456	−	18.6340i	0.234609	−	0.722053i
$667$	−8.23153	+	4.19418i	−0.318726	+	0.162399i
$668$	−5.59502	+	10.9808i	−0.216478	+	0.424862i
$669$	3.65343	+	23.0668i	0.141250	+	0.891815i
$670$	−2.85996	+	2.85996i	−0.110490	+	0.110490i
$671$	−30.8155	−	15.7013i	−1.18962	−	0.606141i
$672$	−6.48298	+	4.71016i	−0.250086	+	0.181698i
$673$	18.7574	+	36.8134i	0.723043	+	1.41905i	0.900470	+	0.434918i	$0.143223\pi$
$673$	18.7574	+	36.8134i	0.723043	+	1.41905i	−0.177427	+	0.984134i	$0.556777\pi$
$674$	18.6552	+	13.5538i	0.718573	+	0.522074i
$675$	0.222362	−	1.40394i	0.00855870	−	0.0540375i
$676$	−4.58437	−	6.30984i	−0.176322	−	0.242686i
$677$	−0.148845	−	0.204867i	−0.00572057	−	0.00787369i	0.806147	−	0.591715i	$-0.201549\pi$
$677$	−0.148845	−	0.204867i	−0.00572057	−	0.00787369i	−0.811868	+	0.583841i	$0.801549\pi$
$678$	−10.3795	+	65.5334i	−0.398621	+	2.51680i
$679$	−13.6495	−	9.91692i	−0.523819	−	0.380576i
$680$	3.87403	+	7.60321i	0.148562	+	0.291570i
$681$	−42.7312	+	31.0460i	−1.63746	+	1.18969i
$682$	−18.6885	−	9.52228i	−0.715620	−	0.364627i
$683$	−15.4111	+	15.4111i	−0.589688	+	0.589688i	−0.937547	−	0.347859i	$-0.886909\pi$
$683$	−15.4111	+	15.4111i	−0.589688	+	0.589688i	0.347859	+	0.937547i	$0.386909\pi$
$684$	0.688630	+	4.34784i	0.0263304	+	0.166244i
$685$	−10.0033	+	19.6326i	−0.382207	+	0.750124i
$686$	−1.44071	+	0.734080i	−0.0550067	+	0.0280273i
$687$	8.43504	−	25.9604i	0.321817	−	0.990450i
$688$		−	0.802403i		−	0.0305913i
$689$	−2.22594	−	0.723251i	−0.0848015	−	0.0275537i
$690$	82.8299	+	13.1190i	3.15328	+	0.499431i
$691$	3.58415	−	0.567673i	0.136347	−	0.0215953i	−0.0878877	−	0.996130i	$-0.528012\pi$
$691$	3.58415	−	0.567673i	0.136347	−	0.0215953i	0.224235	+	0.974535i	$0.428012\pi$
$692$	−12.1489	+	3.94742i	−0.461832	+	0.150058i
$693$	−2.42840	−	7.47384i	−0.0922472	−	0.283908i
$694$	−26.4368	−	26.4368i	−1.00353	−	1.00353i
$695$	−12.7509	+	17.5501i	−0.483670	+	0.665714i
$696$	5.91863			0.224345
$697$	−7.05525	−	6.10672i	−0.267237	−	0.231309i
$698$	−32.4706			−1.22903
$699$	39.3688	−	54.1864i	1.48906	−	2.04952i
$700$	−0.796205	−	0.796205i	−0.0300937	−	0.0300937i
$701$	8.08143	+	24.8721i	0.305231	+	0.939406i	0.979591	+	0.201002i	$0.0644199\pi$
$701$	8.08143	+	24.8721i	0.305231	+	0.939406i	−0.674359	+	0.738403i	$0.735580\pi$
$702$	0.662496	−	0.215258i	0.0250043	−	0.00812439i
$703$	−11.9868	+	1.89852i	−0.452089	+	0.0716039i
$704$	−12.3735	−	1.95978i	−0.466345	−	0.0738619i
$705$	17.6215	+	5.72558i	0.663665	+	0.215638i
$706$			34.0448i			1.28129i
$707$	−5.88279	+	18.1054i	−0.221245	+	0.680922i
$708$	−3.71709	+	1.89395i	−0.139697	+	0.0711791i
$709$	−17.7140	+	34.7656i	−0.665262	+	1.30565i	0.273761	+	0.961798i	$0.411732\pi$
$709$	−17.7140	+	34.7656i	−0.665262	+	1.30565i	−0.939023	+	0.343853i	$0.888268\pi$
$710$	−7.41367	−	46.8081i	−0.278230	−	1.75667i
$711$	−19.5086	+	19.5086i	−0.731628	+	0.731628i
$712$	6.32422	+	3.22235i	0.237010	+	0.120763i
$713$	29.7483	−	21.6134i	1.11408	−	0.809429i
$714$	−2.54824	−	5.00120i	−0.0953654	−	0.187165i
$715$	−3.45074	−	2.50711i	−0.129050	−	0.0937605i
$716$	1.17653	−	7.42829i	0.0439688	−	0.277608i
$717$	11.5801	+	15.9387i	0.432468	+	0.595241i
$718$	7.75240	+	10.6703i	0.289317	+	0.398211i
$719$	−6.54511	+	41.3242i	−0.244091	+	1.54113i	0.495818	+	0.868426i	$0.334868\pi$
$719$	−6.54511	+	41.3242i	−0.244091	+	1.54113i	−0.739910	+	0.672706i	$0.765132\pi$
$720$	−27.4363	−	19.9336i	−1.02249	−	0.742882i
$721$	−1.84301	−	3.61711i	−0.0686372	−	0.134708i
$722$	−15.4695	+	11.2392i	−0.575714	+	0.418281i
$723$	−25.1633	−	12.8213i	−0.935833	−	0.476831i
$724$	−2.25586	+	2.25586i	−0.0838383	+	0.0838383i
$725$	0.317906	+	2.00718i	0.0118067	+	0.0745447i
$726$	4.13616	−	8.11768i	0.153507	−	0.301275i
$727$	31.6340	−	16.1183i	1.17324	−	0.597795i	0.244907	−	0.969547i	$-0.421243\pi$
$727$	31.6340	−	16.1183i	1.17324	−	0.597795i	0.928332	+	0.371751i	$0.121243\pi$
$728$	−0.384437	+	1.18317i	−0.0142482	+	0.0438514i
$729$			20.8544i			0.772383i
$730$	22.3091	+	7.24868i	0.825698	+	0.268286i
$731$	0.238058	+	0.0377047i	0.00880490	+	0.00139456i
$732$	17.0172	−	2.69525i	0.628973	−	0.0996195i
$733$	44.1304	−	14.3388i	1.62999	−	0.529616i	0.655722	−	0.755002i	$-0.272364\pi$
$733$	44.1304	−	14.3388i	1.62999	−	0.529616i	0.974270	+	0.225386i	$0.0723643\pi$
$734$	13.0991	+	40.3148i	0.483496	+	1.48805i
$735$	−4.40277	−	4.40277i	−0.162399	−	0.162399i
$736$	−16.4705	+	22.6698i	−0.607112	+	0.835618i
$737$	2.81201			0.103582
$738$	26.8805	+	6.64134i	0.989486	+	0.244471i
$739$	−39.5783			−1.45591			−0.727956	−	0.685624i	$-0.759530\pi$
$739$	−39.5783			−1.45591			−0.727956	+	0.685624i	$0.759530\pi$
$740$	−4.27793	+	5.88806i	−0.157260	+	0.216449i
$741$	2.50545	+	2.50545i	0.0920400	+	0.0920400i
$742$	2.10590	+	6.48129i	0.0773100	+	0.237936i
$743$	12.1990	−	3.96369i	0.447538	−	0.145414i	−0.0765729	−	0.997064i	$-0.524398\pi$
$743$	12.1990	−	3.96369i	0.447538	−	0.145414i	0.524111	+	0.851650i	$0.324398\pi$
$744$	−23.2673	+	3.68518i	−0.853021	+	0.135105i
$745$	−59.8464	−	9.47874i	−2.19260	−	0.347274i
$746$	−25.7877	−	8.37892i	−0.944154	−	0.306774i
$747$			44.8568i			1.64123i
$748$	−0.813181	+	2.50271i	−0.0297328	+	0.0915083i
$749$	−9.50841	+	4.84478i	−0.347430	+	0.177024i
$750$	−14.4787	+	28.4160i	−0.528687	+	1.03761i
$751$	−6.72927	−	42.4869i	−0.245555	−	1.55037i	−0.734836	−	0.678244i	$-0.762741\pi$
$751$	−6.72927	−	42.4869i	−0.245555	−	1.55037i	0.489282	−	0.872126i	$-0.337259\pi$
$752$	−10.2082	+	10.2082i	−0.372255	+	0.372255i
$753$	−41.7828	−	21.2894i	−1.52265	−	0.775828i
$754$	−0.805700	+	0.585375i	−0.0293419	+	0.0213181i
$755$	−8.18128	−	16.0567i	−0.297747	−	0.584362i
$756$	−0.385685	−	0.280217i	−0.0140272	−	0.0101914i
$757$	2.48095	−	15.6641i	0.0901717	−	0.569322i	−0.900692	−	0.434457i	$-0.856940\pi$
$757$	2.48095	−	15.6641i	0.0901717	−	0.569322i	0.990864	−	0.134864i	$-0.0430599\pi$
$758$	−28.9922	−	39.9043i	−1.05304	−	1.44939i
$759$	−34.2711	−	47.1701i	−1.24396	−	1.71217i
$760$	−2.45360	+	15.4914i	−0.0890015	+	0.561933i
$761$	−15.8387	−	11.5075i	−0.574152	−	0.417146i	0.262459	−	0.964943i	$-0.415466\pi$
$761$	−15.8387	−	11.5075i	−0.574152	−	0.417146i	−0.836611	+	0.547797i	$0.815466\pi$
$762$	30.3032	+	59.4734i	1.09777	+	2.15449i
$763$	11.2617	−	8.18209i	0.407700	−	0.296212i
$764$	−7.23484	−	3.68633i	−0.261747	−	0.133367i
$765$	7.20315	−	7.20315i	0.260431	−	0.260431i
$766$	0.164872	+	1.04096i	0.00595707	+	0.0376115i
$767$	−0.718483	+	1.41010i	−0.0259429	+	0.0509159i
$768$	28.6508	−	14.5983i	1.03385	−	0.526771i
$769$	9.91675	−	30.5206i	0.357607	−	1.10060i	−0.596875	−	0.802334i	$-0.703591\pi$
$769$	9.91675	−	30.5206i	0.357607	−	1.10060i	0.954482	−	0.298267i	$-0.0964087\pi$
$770$			12.4195i			0.447566i
$771$	6.36913	+	2.06945i	0.229378	+	0.0745296i
$772$	−4.16310	−	0.659370i	−0.149833	−	0.0237312i
$773$	−1.11171	+	0.176078i	−0.0399855	+	0.00633307i	−0.176395	−	0.984319i	$-0.556444\pi$
$773$	−1.11171	+	0.176078i	−0.0399855	+	0.00633307i	0.136410	+	0.990653i	$0.456444\pi$
$774$	−0.680210	+	0.221014i	−0.0244496	+	0.00794417i
$775$	−2.49950	−	7.69267i	−0.0897847	−	0.276329i
$776$	26.7262	+	26.7262i	0.959414	+	0.959414i
$777$	−6.34401	+	8.73178i	−0.227590	+	0.313251i
$778$	11.8552			0.425031
$779$	−3.89366	−	16.7031i	−0.139505	−	0.598449i
$780$	2.12487			0.0760827
$781$	−19.3670	+	26.6563i	−0.693004	+	0.953838i
$782$	−13.8788	−	13.8788i	−0.496303	−	0.496303i
$783$	0.265879	+	0.818291i	0.00950173	+	0.0292433i
$784$	4.61397	−	1.49917i	0.164785	−	0.0535418i
$785$	1.24006	−	0.196407i	0.0442598	−	0.00701006i
$786$	70.6442	+	11.1889i	2.51980	+	0.399096i
$787$	3.55395	+	1.15475i	0.126685	+	0.0411623i	0.371673	−	0.928364i	$-0.378784\pi$
$787$	3.55395	+	1.15475i	0.126685	+	0.0411623i	−0.244989	+	0.969526i	$0.578784\pi$
$788$		−	9.44023i		−	0.336294i
$789$	9.32046	−	28.6854i	0.331817	−	1.02123i
$790$	38.8495	−	19.7948i	1.38220	−	0.704268i
$791$	7.82052	−	15.3486i	0.278066	−	0.545735i
$792$	2.75400	+	17.3881i	0.0978591	+	0.617858i
$793$	4.62168	−	4.62168i	0.164121	−	0.164121i
$794$	−20.0829	−	10.2328i	−0.712717	−	0.363148i
$795$	−21.2303	+	15.4247i	−0.752962	+	0.547059i
$796$	−0.762314	−	1.49612i	−0.0270195	−	0.0530287i
$797$	−21.8683	−	15.8882i	−0.774613	−	0.562790i	0.128744	−	0.991678i	$-0.458905\pi$
$797$	−21.8683	−	15.8882i	−0.774613	−	0.562790i	−0.903358	+	0.428888i	$0.858905\pi$
$798$	1.61392	−	10.1899i	0.0571321	−	0.360718i
$799$	−2.54891	−	3.50827i	−0.0901739	−	0.124114i
$800$	3.62305	+	4.98670i	0.128094	+	0.176306i
$801$	1.32550	−	8.36889i	0.0468343	−	0.295700i
$802$	−7.63359	−	5.54613i	−0.269551	−	0.195840i
$803$	−7.40398	−	14.5311i	−0.261281	−	0.512792i
$804$	−1.13332	+	0.823408i	−0.0399693	+	0.0290394i
$805$	−19.3997	−	9.88462i	−0.683748	−	0.348387i
$806$	2.80289	−	2.80289i	0.0987274	−	0.0987274i
$807$	−1.55822	−	9.83818i	−0.0548518	−	0.346321i
$808$	19.3616	−	37.9993i	0.681139	−	1.33681i
$809$	−1.26617	+	0.645147i	−0.0445162	+	0.0226822i	−0.476107	−	0.879387i	$-0.657952\pi$
$809$	−1.26617	+	0.645147i	−0.0445162	+	0.0226822i	0.431591	+	0.902070i	$0.357952\pi$
$810$	12.8920	−	39.6776i	0.452980	−	1.39413i
$811$		−	24.4373i		−	0.858108i	−0.903279	−	0.429054i	$-0.858847\pi$
$811$		−	24.4373i		−	0.858108i	0.903279	−	0.429054i	$-0.141153\pi$
$812$	0.648217	+	0.210618i	0.0227479	+	0.00739126i
$813$	−41.5270	−	6.57724i	−1.45642	−	0.230674i
$814$	21.2631	−	3.36774i	0.745271	−	0.118039i
$815$	23.5821	−	7.66230i	0.826046	−	0.268399i
$816$	5.20411	+	16.0166i	0.182180	+	0.560694i
$817$	0.313259	+	0.313259i	0.0109595	+	0.0109595i
$818$	−3.06220	+	4.21476i	−0.107067	+	0.147365i
$819$	1.48513			0.0518946
$820$	−8.73405	−	5.43183i	−0.305006	−	0.189688i
$821$	−32.5302			−1.13531			−0.567655	−	0.823266i	$-0.692149\pi$
$821$	−32.5302			−1.13531			−0.567655	+	0.823266i	$0.692149\pi$
$822$	−19.0848	+	26.2679i	−0.665658	+	0.916200i
$823$	8.83123	+	8.83123i	0.307837	+	0.307837i	0.844070	−	0.536233i	$-0.180153\pi$
$823$	8.83123	+	8.83123i	0.307837	+	0.307837i	−0.536233	+	0.844070i	$0.680153\pi$
$824$	2.81033	+	8.64930i	0.0979024	+	0.301312i
$825$	−12.1978	+	3.96331i	−0.424673	+	0.137985i
$826$	4.55133	−	0.720859i	0.158361	−	0.0250819i
$827$	14.2253	+	2.25306i	0.494661	+	0.0783467i	0.398781	−	0.917046i	$-0.369433\pi$
$827$	14.2253	+	2.25306i	0.494661	+	0.0783467i	0.0958804	+	0.995393i	$0.469433\pi$
$828$	13.0195	+	4.23030i	0.452460	+	0.147013i
$829$			1.63745i			0.0568711i	0.999596	+	0.0284356i	$0.00905254\pi$
$829$			1.63745i			0.0568711i	−0.999596	+	0.0284356i	$0.990947\pi$
$830$	21.9066	−	67.4217i	0.760391	−	2.34024i
$831$	−67.9434	+	34.6189i	−2.35693	+	1.20092i
$832$	1.07485	−	2.10951i	0.0372637	−	0.0731341i
$833$	0.227967	+	1.43932i	0.00789857	+	0.0498696i
$834$	−22.6036	+	22.6036i	−0.782700	+	0.782700i
$835$	46.7063	+	23.7980i	1.61634	+	0.823565i
$836$	−3.91308	+	2.84302i	−0.135337	+	0.0983277i
$837$	−1.55472	−	3.05132i	−0.0537391	−	0.105469i
$838$	15.3894	+	11.1810i	0.531616	+	0.386242i
$839$	−2.07276	+	13.0869i	−0.0715597	+	0.451810i	0.925727	+	0.378193i	$0.123454\pi$
$839$	−2.07276	+	13.0869i	−0.0715597	+	0.451810i	−0.997287	+	0.0736173i	$0.976546\pi$
$840$	8.19885	+	11.2848i	0.282887	+	0.389361i
$841$	16.3227	+	22.4663i	0.562853	+	0.774701i
$842$	5.74168	−	36.2516i	0.197871	−	1.24931i
$843$	37.8195	+	27.4775i	1.30257	+	0.946374i
$844$	2.45786	+	4.82383i	0.0846031	+	0.166043i
$845$	−26.8385	+	19.4993i	−0.923272	+	0.670796i
$846$	11.4654	+	5.84192i	0.394189	+	0.200849i
$847$	−1.67256	+	1.67256i	−0.0574698	+	0.0574698i
$848$	−3.19859	−	20.1951i	−0.109840	−	0.693503i
$849$	2.43182	−	4.77272i	0.0834599	−	0.163799i
$850$	−3.84691	+	1.96010i	−0.131948	+	0.0672309i
$851$	−11.6627	+	35.8941i	−0.399793	+	1.23044i
$852$		−	16.4143i		−	0.562344i
$853$	8.16411	+	2.65268i	0.279534	+	0.0908261i	0.445429	−	0.895317i	$-0.353051\pi$
$853$	8.16411	+	2.65268i	0.279534	+	0.0908261i	−0.165895	+	0.986143i	$0.553051\pi$
$854$	−18.7968	−	2.97711i	−0.643212	−	0.101875i
$855$	18.4933	−	2.92904i	0.632456	−	0.100171i
$856$	22.7367	−	7.38759i	0.777123	−	0.252503i
$857$	1.16638	+	3.58975i	0.0398428	+	0.122624i	0.969000	−	0.247062i	$-0.0794653\pi$
$857$	1.16638	+	3.58975i	0.0398428	+	0.122624i	−0.929157	+	0.369686i	$0.879465\pi$
$858$	−4.44437	−	4.44437i	−0.151728	−	0.151728i
$859$	2.95278	−	4.06416i	0.100748	−	0.138667i	−0.755667	−	0.654956i	$-0.772687\pi$
$859$	2.95278	−	4.06416i	0.100748	−	0.138667i	0.856414	+	0.516289i	$0.172687\pi$
$860$	0.265675			0.00905946
$861$	−12.9523	−	8.05520i	−0.441412	−	0.274521i
$862$	25.0597			0.853538
$863$	29.7526	−	40.9510i	1.01279	−	1.39399i	0.0956545	−	0.995415i	$-0.469506\pi$
$863$	29.7526	−	40.9510i	1.01279	−	1.39399i	0.917137	−	0.398573i	$-0.130494\pi$
$864$	1.84534	+	1.84534i	0.0627797	+	0.0627797i
$865$	16.7901	+	51.6745i	0.570879	+	1.75699i
$866$	−36.3943	+	11.8252i	−1.23673	+	0.401838i
$867$	35.0005	−	5.54354i	1.18868	−	0.188268i
$868$	−2.67941	−	0.424376i	−0.0909450	−	0.0144043i
$869$	−28.8306	−	9.36762i	−0.978010	−	0.317775i
$870$			11.1663i			0.378572i
$871$	−0.164220	+	0.505417i	−0.00556439	+	0.0171254i
$872$	−27.7856	+	14.1575i	−0.940940	+	0.479433i
$873$	20.4843	−	40.2026i	0.693287	−	1.36065i
$874$	−5.64357	−	35.6321i	−0.190896	−	1.20527i
$875$	5.85481	−	5.85481i	0.197929	−	0.197929i
$876$	7.23899	+	3.68845i	0.244583	+	0.124621i
$877$	8.92645	−	6.48545i	0.301425	−	0.218998i	−0.426783	−	0.904354i	$-0.640353\pi$
$877$	8.92645	−	6.48545i	0.301425	−	0.218998i	0.728208	+	0.685356i	$0.240353\pi$
$878$	−1.10909	−	2.17671i	−0.0374300	−	0.0734605i
$879$	−9.00583	−	6.54312i	−0.303759	−	0.220694i
$880$	5.82916	−	36.8039i	0.196501	−	1.24066i
$881$	21.7931	+	29.9957i	0.734229	+	1.01058i	0.998930	+	0.0462495i	$0.0147269\pi$
$881$	21.7931	+	29.9957i	0.734229	+	1.01058i	−0.264700	+	0.964331i	$0.585273\pi$
$882$	−2.54174	−	3.49840i	−0.0855848	−	0.117797i
$883$	−1.66865	+	10.5355i	−0.0561547	+	0.354547i	0.943572	+	0.331168i	$0.107443\pi$
$883$	−1.66865	+	10.5355i	−0.0561547	+	0.354547i	−0.999727	+	0.0233793i	$0.992557\pi$
$884$	−0.402336	−	0.292314i	−0.0135320	−	0.00983159i
$885$	8.05580	+	15.8104i	0.270793	+	0.531461i
$886$	−22.6153	+	16.4310i	−0.759776	+	0.552010i
$887$	−39.4998	−	20.1261i	−1.32627	−	0.675770i	−0.359918	−	0.932984i	$-0.617195\pi$
$887$	−39.4998	−	20.1261i	−1.32627	−	0.675770i	−0.966354	+	0.257214i	$0.917195\pi$
$888$	17.0971	−	17.0971i	0.573743	−	0.573743i
$889$	−2.71094	−	17.1162i	−0.0909220	−	0.574059i
$890$	−6.07939	+	11.9315i	−0.203781	+	0.399944i
$891$	−25.8441	+	13.1682i	−0.865811	+	0.441152i
$892$	1.86182	−	5.73008i	0.0623382	−	0.191857i
$893$		−	7.97060i		−	0.266726i
$894$	−84.9172	−	27.5913i	−2.84005	−	0.922790i
$895$	−31.5957	−	5.00427i	−1.05613	−	0.167274i
$896$	−13.4540	+	2.13090i	−0.449466	+	0.0711885i
$897$	10.4795	−	3.40501i	0.349902	−	0.113690i
$898$	−11.6181	−	35.7568i	−0.387701	−	1.19322i
$899$	3.46202	+	3.46202i	0.115465	+	0.115465i
$900$	1.77000	−	2.43620i	0.0590001	−	0.0812066i
$901$	6.14182			0.204614
$902$	6.90689	+	29.6292i	0.229974	+	0.986546i
$903$	0.393987			0.0131111
$904$	−22.6830	+	31.2205i	−0.754427	+	1.03838i
$905$	9.59514	+	9.59514i	0.318953	+	0.318953i
$906$	−8.20593	−	25.2553i	−0.272624	−	0.839050i
$907$	−7.15003	+	2.32318i	−0.237413	+	0.0771401i	−0.425307	−	0.905049i	$-0.639834\pi$
$907$	−7.15003	+	2.32318i	−0.237413	+	0.0771401i	0.187894	+	0.982189i	$0.439834\pi$
$908$	13.4584	−	2.13160i	0.446633	−	0.0707397i
$909$	−50.2848	−	7.96432i	−1.66784	−	0.264160i
$910$	−2.23221	−	0.725289i	−0.0739971	−	0.0240431i
$911$			49.3223i			1.63412i	0.576553	+	0.817060i	$0.304397\pi$
$911$			49.3223i			1.63412i	−0.576553	+	0.817060i	$0.695603\pi$
$912$	−9.56539	+	29.4392i	−0.316742	+	0.974831i
$913$	−43.9154	+	22.3760i	−1.45339	+	0.740537i
$914$	12.4765	−	24.4864i	0.412685	−	0.809939i
$915$	−11.4641	−	72.3814i	−0.378991	−	2.39285i
$916$	−4.97939	+	4.97939i	−0.164524	+	0.164524i
$917$	−16.5456	−	8.43042i	−0.546385	−	0.278397i
$918$	−1.47885	+	1.07445i	−0.0488094	+	0.0354621i
$919$	−16.5800	−	32.5400i	−0.546923	−	1.07340i	−0.984691	−	0.174308i	$-0.944231\pi$
$919$	−16.5800	−	32.5400i	−0.546923	−	1.07340i	0.437768	−	0.899088i	$-0.355769\pi$
$920$	39.4607	+	28.6699i	1.30098	+	0.945217i
$921$	8.03461	−	50.7285i	0.264749	−	1.67156i
$922$	−23.9325	−	32.9403i	−0.788176	−	1.08483i
$923$	−3.66006	−	5.03763i	−0.120472	−	0.165816i
$924$	−0.672908	+	4.24858i	−0.0221371	+	0.139768i
$925$	6.71647	+	4.87980i	0.220836	+	0.160447i
$926$	−5.37404	−	10.5471i	−0.176602	−	0.346601i
$927$	8.78322	−	6.38138i	0.288479	−	0.209592i
$928$	−3.32438	−	1.69386i	−0.109128	−	0.0556035i
$929$	8.85428	−	8.85428i	0.290499	−	0.290499i	−0.546778	−	0.837278i	$-0.684146\pi$
$929$	8.85428	−	8.85428i	0.290499	−	0.290499i	0.837278	+	0.546778i	$0.184146\pi$
$930$	−6.95256	−	43.8968i	−0.227984	−	1.43943i
$931$	−1.21602	+	2.38658i	−0.0398535	+	0.0782169i
$932$	−15.3957	+	7.84452i	−0.504304	+	0.256956i
$933$	−3.46342	+	10.6593i	−0.113387	+	0.348971i
$934$		−	27.7910i		−	0.909348i
$935$	10.6451	+	3.45881i	0.348133	+	0.113115i
$936$	−3.28608	−	0.520463i	−0.107409	−	0.0170119i
$937$	−26.5570	+	4.20621i	−0.867578	+	0.137411i	−0.574328	−	0.818625i	$-0.694737\pi$
$937$	−26.5570	+	4.20621i	−0.867578	+	0.137411i	−0.293250	+	0.956036i	$0.594737\pi$
$938$	1.47163	−	0.478161i	0.0480504	−	0.0156125i
$939$	2.81201	+	8.65448i	0.0917665	+	0.282428i
$940$	−3.37994	−	3.37994i	−0.110241	−	0.110241i
$941$	−6.20238	+	8.53684i	−0.202192	+	0.278293i	−0.898057	−	0.439880i	$-0.855021\pi$
$941$	−6.20238	+	8.53684i	−0.202192	+	0.278293i	0.695865	+	0.718173i	$0.255021\pi$
$942$	1.85010			0.0602795
$943$	−51.7792	−	12.7930i	−1.68616	−	0.416598i
$944$	−13.8258			−0.449991
$945$	−1.19188	+	1.64049i	−0.0387719	+	0.0533650i
$946$	−0.555685	−	0.555685i	−0.0180669	−	0.0180669i
$947$	12.5905	+	38.7496i	0.409137	+	1.25919i	0.917391	+	0.397986i	$0.130291\pi$
$947$	12.5905	+	38.7496i	0.409137	+	1.25919i	−0.508255	+	0.861207i	$0.669709\pi$
$948$	14.3626	−	4.66668i	0.466475	−	0.151567i
$949$	3.04414	−	0.482144i	0.0988170	−	0.0156511i
$950$	−7.83803	−	1.24142i	−0.254299	−	0.0402771i
$951$	32.8886	+	10.6861i	1.06648	+	0.346522i
$952$		−	3.26462i		−	0.105807i
$953$	−13.7377	+	42.2802i	−0.445007	+	1.36959i	0.437470	+	0.899233i	$0.355875\pi$
$953$	−13.7377	+	42.2802i	−0.445007	+	1.36959i	−0.882477	+	0.470356i	$0.844125\pi$
$954$	−16.2387	+	8.27403i	−0.525748	+	0.267882i
$955$	−15.6796	+	30.7729i	−0.507379	+	0.995787i
$956$	−0.795085	−	5.01997i	−0.0257149	−	0.162357i
$957$	5.48952	−	5.48952i	0.177451	−	0.177451i
$958$	−9.38886	−	4.78387i	−0.303340	−	0.154560i
$959$	6.81980	−	4.95488i	0.220223	−	0.160001i
$960$	−12.0515	−	23.6523i	−0.388959	−	0.763375i
$961$	9.31404	+	6.76704i	0.300453	+	0.218292i
$962$	−0.636452	+	4.01840i	−0.0205200	+	0.129558i
$963$	−16.7749	−	23.0887i	−0.540565	−	0.744024i
$964$	4.28244	+	5.89428i	0.137928	+	0.189842i
$965$	−2.80458	+	17.7075i	−0.0902828	+	0.570023i
$966$	−25.9562	−	18.8583i	−0.835128	−	0.606756i
$967$	−17.6022	−	34.5463i	−0.566049	−	1.11093i	−0.979695	−	0.200495i	$-0.935745\pi$
$967$	−17.6022	−	34.5463i	−0.566049	−	1.11093i	0.413646	−	0.910438i	$-0.364255\pi$
$968$	4.28695	−	3.11465i	0.137788	−	0.100109i
$969$	−8.28460	−	4.22122i	−0.266140	−	0.135605i
$970$	−50.4224	+	50.4224i	−1.61897	+	1.61897i
$971$	−1.18409	−	7.47602i	−0.0379991	−	0.239917i	0.961377	−	0.275235i	$-0.0887556\pi$
$971$	−1.18409	−	7.47602i	−0.0379991	−	0.239917i	−0.999376	+	0.0353179i	$0.988756\pi$
$972$	5.91074	−	11.6005i	0.189587	−	0.372086i
$973$	7.39469	−	3.76778i	0.237063	−	0.120790i
$974$	20.7408	−	63.8338i	0.664579	−	2.04537i
$975$		−	2.42383i		−	0.0776246i
$976$	54.3051	+	17.6448i	1.73826	+	0.564796i
$977$	−6.36670	−	1.00839i	−0.203689	−	0.0322611i	0.0537562	−	0.998554i	$-0.482881\pi$
$977$	−6.36670	−	1.00839i	−0.203689	−	0.0322611i	−0.257445	+	0.966293i	$0.582881\pi$
$978$	36.0884	−	5.71584i	1.15398	−	0.182772i
$979$	8.85444	−	2.87698i	0.282989	−	0.0919488i
$980$	0.496375	+	1.52768i	0.0158561	+	0.0488001i
$981$	26.3237	+	26.3237i	0.840450	+	0.840450i
$982$	15.8014	−	21.7488i	0.504244	−	0.694033i
$983$	34.1408			1.08892			0.544462	−	0.838786i	$-0.316734\pi$
$983$	34.1408			1.08892			0.544462	+	0.838786i	$0.316734\pi$
$984$	25.8360	+	22.3625i	0.823620	+	0.712891i
$985$	−40.1534			−1.27939
$986$	1.53612	−	2.11428i	0.0489199	−	0.0673325i
$987$	−5.01232	−	5.01232i	−0.159544	−	0.159544i
$988$	−0.282468	−	0.869347i	−0.00898651	−	0.0276576i
$989$	1.31027	−	0.425732i	0.0416641	−	0.0135375i
$990$	−32.8048	+	5.19578i	−1.04261	+	0.165133i
$991$	−39.2402	−	6.21503i	−1.24651	−	0.197427i	−0.501896	−	0.864928i	$-0.667364\pi$
$991$	−39.2402	−	6.21503i	−1.24651	−	0.197427i	−0.744609	+	0.667501i	$0.767364\pi$
$992$	14.1234	+	4.58899i	0.448420	+	0.145700i
$993$		−	3.53967i		−	0.112328i
$994$	−5.60273	+	17.2434i	−0.177708	+	0.546928i
$995$	−6.36367	+	3.24245i	−0.201742	+	0.102793i
$996$	11.1471	−	21.8774i	0.353209	−	0.693211i
$997$	4.72007	+	29.8013i	0.149486	+	0.943817i	0.942401	+	0.334485i	$0.108562\pi$
$997$	4.72007	+	29.8013i	0.149486	+	0.943817i	−0.792915	+	0.609332i	$0.791438\pi$
$998$	28.6144	−	28.6144i	0.905772	−	0.905772i
$999$	3.13184	+	1.59575i	0.0990871	+	0.0504874i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.u.a.8.5	✓	160
41.36	even	20	inner	287.2.u.a.36.5	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.u.a.8.5	✓	160	1.1	even	1	trivial
287.2.u.a.36.5	yes	160	41.36	even	20	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.u (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.950420 + 1.30814i) q^{2} +(1.68439 + 1.68439i) q^{3} +(-0.189901 - 0.584454i) q^{4} +(-2.48593 + 0.807729i) q^{5} +(-3.80430 + 0.602541i) q^{6} +(0.987688 + 0.156434i) q^{7} +(-2.13059 - 0.692271i) q^{8} +2.67433i q^{9} +O(q^{10})\)	\(q+(-0.950420 + 1.30814i) q^{2} +(1.68439 + 1.68439i) q^{3} +(-0.189901 - 0.584454i) q^{4} +(-2.48593 + 0.807729i) q^{5} +(-3.80430 + 0.602541i) q^{6} +(0.987688 + 0.156434i) q^{7} +(-2.13059 - 0.692271i) q^{8} +2.67433i q^{9} +(1.30606 - 4.01963i) q^{10} +(-2.61820 + 1.33404i) q^{11} +(0.664581 - 1.30431i) q^{12} +(-0.0868723 - 0.548490i) q^{13} +(-1.14336 + 1.14336i) q^{14} +(-5.54781 - 2.82675i) q^{15} +(3.92488 - 2.85159i) q^{16} +(0.661585 + 1.29843i) q^{17} +(-3.49840 - 2.54174i) q^{18} +(-0.419012 + 2.64554i) q^{19} +(0.944161 + 1.29953i) q^{20} +(1.40015 + 1.92715i) q^{21} +(0.743278 - 4.69288i) q^{22} +(6.73888 + 4.89608i) q^{23} +(-2.42269 - 4.75480i) q^{24} +(1.48236 - 1.07700i) q^{25} +(0.800067 + 0.407655i) q^{26} +(0.548550 - 0.548550i) q^{27} +(-0.0961338 - 0.606965i) q^{28} +(-0.503520 + 0.988214i) q^{29} +(8.97054 - 4.57072i) q^{30} +(1.36413 - 4.19837i) q^{31} +3.36403i q^{32} +(-6.65711 - 2.16303i) q^{33} +(-2.32732 - 0.368611i) q^{34} +(-2.58169 + 0.408899i) q^{35} +(1.56302 - 0.507857i) q^{36} +(1.40013 + 4.30917i) q^{37} +(-3.06250 - 3.06250i) q^{38} +(0.777544 - 1.07020i) q^{39} +5.85568 q^{40} +(-5.93176 + 2.41128i) q^{41} -3.85172 q^{42} +(0.0972171 - 0.133808i) q^{43} +(1.27688 + 1.27688i) q^{44} +(-2.16014 - 6.64822i) q^{45} +(-12.8095 + 4.16207i) q^{46} +(-2.93911 + 0.465510i) q^{47} +(11.4142 + 1.80783i) q^{48} +(0.951057 + 0.309017i) q^{49} +2.96273i q^{50} +(-1.07270 + 3.30143i) q^{51} +(-0.304070 + 0.154931i) q^{52} +(1.91340 - 3.75525i) q^{53} +(0.196228 + 1.23893i) q^{54} +(5.43113 - 5.43113i) q^{55} +(-1.99606 - 1.01705i) q^{56} +(-5.16190 + 3.75034i) q^{57} +(-0.814167 - 1.59789i) q^{58} +(-2.30557 - 1.67510i) q^{59} +(-0.598573 + 3.77924i) q^{60} +(6.91807 + 9.52190i) q^{61} +(4.19557 + 5.77470i) q^{62} +(-0.418358 + 2.64141i) q^{63} +(3.44913 + 2.50594i) q^{64} +(0.658990 + 1.29334i) q^{65} +(9.15660 - 6.65266i) q^{66} +(-0.852661 - 0.434452i) q^{67} +(0.633239 - 0.633239i) q^{68} +(3.10398 + 19.5978i) q^{69} +(1.91879 - 3.76583i) q^{70} +(9.99082 - 5.09058i) q^{71} +(1.85136 - 5.69791i) q^{72} +5.55004i q^{73} +(-6.96772 - 2.26395i) q^{74} +(4.31095 + 0.682788i) q^{75} +(1.62577 - 0.257496i) q^{76} +(-2.79466 + 0.908039i) q^{77} +(0.660975 + 2.03427i) q^{78} +(7.29474 + 7.29474i) q^{79} +(-7.45367 + 10.2591i) q^{80} +9.87094 q^{81} +(2.48336 - 10.0513i) q^{82} +16.7731 q^{83} +(0.860439 - 1.18429i) q^{84} +(-2.69344 - 2.69344i) q^{85} +(0.0826425 + 0.254347i) q^{86} +(-2.51266 + 0.816413i) q^{87} +(6.50183 - 1.02979i) q^{88} +(-3.12934 - 0.495639i) q^{89} +(10.7498 + 3.49284i) q^{90} -0.555327i q^{91} +(1.58182 - 4.86833i) q^{92} +(9.36943 - 4.77396i) q^{93} +(2.18444 - 4.28721i) q^{94} +(-1.09524 - 6.91509i) q^{95} +(-5.66633 + 5.66633i) q^{96} +(-15.0328 - 7.65958i) q^{97} +(-1.30814 + 0.950420i) q^{98} +(-3.56767 - 7.00194i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Introduction

L-functions

Modular forms

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