LMFDB - Embedded newform 806.2.bw.a.51.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [806,2,Mod(51,806)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(806, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 8]))

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

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

chi := DirichletCharacter("806.51");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 806 = 2 \cdot 13 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	806.bw (of order $30$, 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:	$6.43594240292$
Analytic rank:	$0$
Dimension:	$288$
Relative dimension:	$36$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			51.4
Character	$\chi$	$=$	806.51
Dual form			806.2.bw.a.727.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.951057 + 0.309017i) q^{2} +(-1.48634 - 1.65075i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.52015 - 1.45501i) q^{5} +(1.92371 + 1.11065i) q^{6} +(-3.86641 + 0.406376i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.202180 + 1.92361i) q^{9} +O(q^{10})$	\(q+(-0.951057 + 0.309017i) q^{2} +(-1.48634 - 1.65075i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.52015 - 1.45501i) q^{5} +(1.92371 + 1.11065i) q^{6} +(-3.86641 + 0.406376i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.202180 + 1.92361i) q^{9} +(-1.94718 + 2.16256i) q^{10} +(-0.401780 + 0.902412i) q^{11} +(-2.17277 - 0.461836i) q^{12} +(1.82209 + 3.11127i) q^{13} +(3.55160 - 1.58127i) q^{14} +(-6.14767 - 1.99750i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-4.29572 + 1.91258i) q^{17} +(-0.402144 - 1.89194i) q^{18} +(-1.61583 + 7.60188i) q^{19} +(1.18361 - 2.65843i) q^{20} +(6.41765 + 5.77847i) q^{21} +(0.103255 - 0.982401i) q^{22} +(-1.66009 - 1.20612i) q^{23} +(2.20914 - 0.232190i) q^{24} +(1.73409 - 3.00354i) q^{25} +(-2.69434 - 2.39594i) q^{26} +(-1.91531 + 1.39155i) q^{27} +(-2.88913 + 2.60138i) q^{28} +(-1.19892 - 3.68989i) q^{29} +6.46404 q^{30} +(3.55337 - 4.28644i) q^{31} +1.00000i q^{32} +(2.08684 - 0.678056i) q^{33} +(3.49445 - 3.14642i) q^{34} +(-9.15264 + 6.64979i) q^{35} +(0.967103 + 1.67507i) q^{36} +(0.503391 + 0.290633i) q^{37} +(-0.812365 - 7.72913i) q^{38} +(2.42768 - 7.63224i) q^{39} +(-0.304179 + 2.89407i) q^{40} +(8.00402 + 7.20685i) q^{41} +(-7.88919 - 3.51249i) q^{42} +(4.74279 + 1.00811i) q^{43} +(0.205378 + 0.966227i) q^{44} +(2.28935 + 5.14196i) q^{45} +(1.95155 + 0.634096i) q^{46} +(-3.57556 - 1.16177i) q^{47} +(-2.02927 + 0.903487i) q^{48} +(7.93696 - 1.68705i) q^{49} +(-0.721077 + 3.39240i) q^{50} +(9.54211 + 4.24842i) q^{51} +(3.30286 + 1.44607i) q^{52} +(-0.0352198 + 0.335094i) q^{53} +(1.39155 - 1.91531i) q^{54} +(0.300472 + 2.85880i) q^{55} +(1.94385 - 3.36685i) q^{56} +(14.9505 - 8.63168i) q^{57} +(2.28048 + 3.13881i) q^{58} +(-4.54424 + 4.09165i) q^{59} +(-6.14767 + 1.99750i) q^{60} -4.50125 q^{61} +(-2.05487 + 5.17470i) q^{62} -7.51963i q^{63} +(-0.309017 - 0.951057i) q^{64} +(9.11885 + 5.18970i) q^{65} +(-1.77517 + 1.28974i) q^{66} +(-6.65594 + 3.84281i) q^{67} +(-2.35112 + 4.07227i) q^{68} +(0.476449 + 4.53311i) q^{69} +(6.64979 - 9.15264i) q^{70} +(3.28556 + 0.345326i) q^{71} +(-1.43740 - 1.29424i) q^{72} +(-6.72138 + 15.0965i) q^{73} +(-0.568564 - 0.120852i) q^{74} +(-7.53556 + 1.60173i) q^{75} +(3.16104 + 7.09981i) q^{76} +(1.18673 - 3.65237i) q^{77} +(0.0496267 + 8.00888i) q^{78} +(-3.05577 + 1.36052i) q^{79} +(-0.605026 - 2.84642i) q^{80} +(10.8197 + 2.29981i) q^{81} +(-9.83931 - 4.38074i) q^{82} +(8.04836 + 7.24677i) q^{83} +(8.58849 + 0.902686i) q^{84} +(-8.04302 + 11.0703i) q^{85} +(-4.82219 + 0.506832i) q^{86} +(-4.30910 + 7.46357i) q^{87} +(-0.493906 - 0.855471i) q^{88} +(-1.97090 - 2.71271i) q^{89} +(-3.76625 - 4.18284i) q^{90} +(-8.30929 - 11.2890i) q^{91} -2.05198 q^{92} +(-12.3574 + 0.505392i) q^{93} +3.75957 q^{94} +(6.98866 + 21.5089i) q^{95} +(1.65075 - 1.48634i) q^{96} +(-6.49341 - 8.93741i) q^{97} +(-7.02717 + 4.05714i) q^{98} +(-1.65466 - 0.955317i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 288 q + 72 q^{4} + 32 q^{9}+O(q^{10}) $ 288 * q + 72 * q^4 + 32 * q^9	$ 288 q + 72 q^{4} + 32 q^{9} - 10 q^{13} - 12 q^{14} - 72 q^{16} + 10 q^{17} - 6 q^{22} - 48 q^{23} + 104 q^{25} + 12 q^{26} - 18 q^{27} + 36 q^{29} + 64 q^{30} - 28 q^{35} + 128 q^{36} - 70 q^{38} + 12 q^{39} - 6 q^{42} - 56 q^{43} - 58 q^{49} - 26 q^{51} + 10 q^{52} - 6 q^{53} + 72 q^{55} + 2 q^{56} - 140 q^{61} + 16 q^{62} + 72 q^{64} - 4 q^{65} + 40 q^{68} + 96 q^{69} - 28 q^{74} - 166 q^{75} - 68 q^{77} + 60 q^{78} - 80 q^{79} - 76 q^{81} + 24 q^{87} - 14 q^{88} + 114 q^{90} - 12 q^{91} + 8 q^{92} - 24 q^{94} + 100 q^{95}+O(q^{100}) $ 288 * q + 72 * q^4 + 32 * q^9 - 10 * q^13 - 12 * q^14 - 72 * q^16 + 10 * q^17 - 6 * q^22 - 48 * q^23 + 104 * q^25 + 12 * q^26 - 18 * q^27 + 36 * q^29 + 64 * q^30 - 28 * q^35 + 128 * q^36 - 70 * q^38 + 12 * q^39 - 6 * q^42 - 56 * q^43 - 58 * q^49 - 26 * q^51 + 10 * q^52 - 6 * q^53 + 72 * q^55 + 2 * q^56 - 140 * q^61 + 16 * q^62 + 72 * q^64 - 4 * q^65 + 40 * q^68 + 96 * q^69 - 28 * q^74 - 166 * q^75 - 68 * q^77 + 60 * q^78 - 80 * q^79 - 76 * q^81 + 24 * q^87 - 14 * q^88 + 114 * q^90 - 12 * q^91 + 8 * q^92 - 24 * q^94 + 100 * q^95

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/806\mathbb{Z}\right)^\times$.

$n$	$249$	$313$
$\chi(n)$	$-1$	$e\left(\frac{4}{15}\right)$

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 $

$2$	−0.951057	+	0.309017i	−0.672499	+	0.218508i
$2$	−0.951057	+	0.309017i	−0.672499	+	0.218508i
$3$	−1.48634	−	1.65075i	−0.858142	−	0.953063i	0.141177	−	0.989984i	$-0.454911\pi$
$3$	−1.48634	−	1.65075i	−0.858142	−	0.953063i	−0.999318	+	0.0369216i	$0.988245\pi$
$4$	0.809017	−	0.587785i	0.404508	−	0.293893i
$5$	2.52015	−	1.45501i	1.12704	−	0.650699i	0.183854	−	0.982954i	$-0.441143\pi$
$5$	2.52015	−	1.45501i	1.12704	−	0.650699i	0.943190	+	0.332254i	$0.107809\pi$
$6$	1.92371	+	1.11065i	0.785351	+	0.453422i
$7$	−3.86641	+	0.406376i	−1.46137	+	0.153596i	−0.801593	−	0.597870i	$-0.796014\pi$
$7$	−3.86641	+	0.406376i	−1.46137	+	0.153596i	−0.659773	+	0.751465i	$0.729347\pi$
$8$	−0.587785	+	0.809017i	−0.207813	+	0.286031i
$9$	−0.202180	+	1.92361i	−0.0673932	+	0.641204i
$10$	−1.94718	+	2.16256i	−0.615752	+	0.683862i
$11$	−0.401780	+	0.902412i	−0.121141	+	0.272087i	−0.963930	−	0.266158i	$-0.914246\pi$
$11$	−0.401780	+	0.902412i	−0.121141	+	0.272087i	0.842788	+	0.538245i	$0.180912\pi$
$12$	−2.17277	−	0.461836i	−0.627224	−	0.133321i
$13$	1.82209	+	3.11127i	0.505357	+	0.862911i
$13$	1.82209	+	3.11127i	0.505357	+	0.862911i
$14$	3.55160	−	1.58127i	0.949205	−	0.422613i
$15$	−6.14767	−	1.99750i	−1.58732	−	0.515752i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−4.29572	+	1.91258i	−1.04186	+	0.463868i	−0.855060	−	0.518529i	$-0.826480\pi$
$17$	−4.29572	+	1.91258i	−1.04186	+	0.463868i	−0.186804	+	0.982397i	$0.559813\pi$
$18$	−0.402144	−	1.89194i	−0.0947863	−	0.445935i
$19$	−1.61583	+	7.60188i	−0.370697	+	1.74399i	0.257819	+	0.966193i	$0.416996\pi$
$19$	−1.61583	+	7.60188i	−0.370697	+	1.74399i	−0.628516	+	0.777797i	$0.716337\pi$
$20$	1.18361	−	2.65843i	0.264663	−	0.594443i
$21$	6.41765	+	5.77847i	1.40045	+	1.26097i
$22$	0.103255	−	0.982401i	0.0220139	−	0.209449i
$23$	−1.66009	−	1.20612i	−0.346152	−	0.251494i	0.401101	−	0.916034i	$-0.368628\pi$
$23$	−1.66009	−	1.20612i	−0.346152	−	0.251494i	−0.747253	+	0.664540i	$0.768628\pi$
$24$	2.20914	−	0.232190i	0.450939	−	0.0473956i
$25$	1.73409	−	3.00354i	0.346819	−	0.600708i
$26$	−2.69434	−	2.39594i	−0.528404	−	0.469882i
$27$	−1.91531	+	1.39155i	−0.368602	+	0.267805i
$28$	−2.88913	+	2.60138i	−0.545994	+	0.491615i
$29$	−1.19892	−	3.68989i	−0.222634	−	0.685196i	−0.998523	−	0.0543272i	$-0.982699\pi$
$29$	−1.19892	−	3.68989i	−0.222634	−	0.685196i	0.775890	−	0.630869i	$-0.217301\pi$
$30$	6.46404			1.18017
$31$	3.55337	−	4.28644i	0.638204	−	0.769867i
$31$	3.55337	−	4.28644i	0.638204	−	0.769867i
$32$			1.00000i			0.176777i
$33$	2.08684	−	0.678056i	0.363273	−	0.118034i
$34$	3.49445	−	3.14642i	0.599293	−	0.539606i
$35$	−9.15264	+	6.64979i	−1.54708	+	1.12402i
$36$	0.967103	+	1.67507i	0.161184	+	0.279179i
$37$	0.503391	+	0.290633i	0.0827570	+	0.0477798i	0.540807	−	0.841146i	$-0.318119\pi$
$37$	0.503391	+	0.290633i	0.0827570	+	0.0477798i	−0.458050	+	0.888926i	$0.651452\pi$
$38$	−0.812365	−	7.72913i	−0.131783	−	1.25383i
$39$	2.42768	−	7.63224i	0.388740	−	1.22214i
$40$	−0.304179	+	2.89407i	−0.0480950	+	0.457593i
$41$	8.00402	+	7.20685i	1.25002	+	1.12552i	0.986998	+	0.160730i	$0.0513850\pi$
$41$	8.00402	+	7.20685i	1.25002	+	1.12552i	0.263019	+	0.964791i	$0.415282\pi$
$42$	−7.88919	−	3.51249i	−1.21733	−	0.541990i
$43$	4.74279	+	1.00811i	0.723269	+	0.153736i	0.554815	−	0.831974i	$-0.312789\pi$
$43$	4.74279	+	1.00811i	0.723269	+	0.153736i	0.168454	+	0.985709i	$0.446122\pi$
$44$	0.205378	+	0.966227i	0.0309619	+	0.145664i
$45$	2.28935	+	5.14196i	0.341276	+	0.766518i
$46$	1.95155	+	0.634096i	0.287740	+	0.0934924i
$47$	−3.57556	−	1.16177i	−0.521549	−	0.169462i	0.0363992	−	0.999337i	$-0.488411\pi$
$47$	−3.57556	−	1.16177i	−0.521549	−	0.169462i	−0.557948	+	0.829876i	$0.688411\pi$
$48$	−2.02927	+	0.903487i	−0.292899	+	0.130407i
$49$	7.93696	−	1.68705i	1.13385	−	0.241007i
$50$	−0.721077	+	3.39240i	−0.101976	+	0.479758i
$51$	9.54211	+	4.24842i	1.33616	+	0.594898i
$52$	3.30286	+	1.44607i	0.458024	+	0.200534i
$53$	−0.0352198	+	0.335094i	−0.00483782	+	0.0460288i	−0.996674	−	0.0814861i	$-0.974033\pi$
$53$	−0.0352198	+	0.335094i	−0.00483782	+	0.0460288i	0.991837	+	0.127515i	$0.0407000\pi$
$54$	1.39155	−	1.91531i	0.189367	−	0.260641i
$55$	0.300472	+	2.85880i	0.0405157	+	0.385481i
$56$	1.94385	−	3.36685i	0.259758	−	0.449915i
$57$	14.9505	−	8.63168i	1.98024	−	1.14329i
$58$	2.28048	+	3.13881i	0.299442	+	0.412146i
$59$	−4.54424	+	4.09165i	−0.591609	+	0.532687i	−0.909642	−	0.415392i	$-0.863644\pi$
$59$	−4.54424	+	4.09165i	−0.591609	+	0.532687i	0.318033	+	0.948080i	$0.396978\pi$
$60$	−6.14767	+	1.99750i	−0.793660	+	0.257876i
$61$	−4.50125			−0.576326			−0.288163	−	0.957581i	$-0.593044\pi$
$61$	−4.50125			−0.576326			−0.288163	+	0.957581i	$0.593044\pi$
$62$	−2.05487	+	5.17470i	−0.260969	+	0.657187i
$63$		−	7.51963i		−	0.947385i
$64$	−0.309017	−	0.951057i	−0.0386271	−	0.118882i
$65$	9.11885	+	5.18970i	1.13105	+	0.643703i
$66$	−1.77517	+	1.28974i	−0.218509	+	0.158756i
$67$	−6.65594	+	3.84281i	−0.813152	+	0.469474i	−0.848049	−	0.529917i	$-0.822223\pi$
$67$	−6.65594	+	3.84281i	−0.813152	+	0.469474i	0.0348971	+	0.999391i	$0.488890\pi$
$68$	−2.35112	+	4.07227i	−0.285116	+	0.493835i
$69$	0.476449	+	4.53311i	0.0573577	+	0.545722i
$70$	6.64979	−	9.15264i	0.794801	−	1.09395i
$71$	3.28556	+	0.345326i	0.389924	+	0.0409826i	0.297462	−	0.954734i	$-0.403860\pi$
$71$	3.28556	+	0.345326i	0.389924	+	0.0409826i	0.0924616	+	0.995716i	$0.470526\pi$
$72$	−1.43740	−	1.29424i	−0.169399	−	0.152527i
$73$	−6.72138	+	15.0965i	−0.786678	+	1.76691i	−0.160802	+	0.986987i	$0.551408\pi$
$73$	−6.72138	+	15.0965i	−0.786678	+	1.76691i	−0.625877	+	0.779922i	$0.715259\pi$
$74$	−0.568564	−	0.120852i	−0.0660942	−	0.0140488i
$75$	−7.53556	+	1.60173i	−0.870132	+	0.184952i
$76$	3.16104	+	7.09981i	0.362596	+	0.814404i
$77$	1.18673	−	3.65237i	0.135240	−	0.416226i
$78$	0.0496267	+	8.00888i	0.00561912	+	0.906828i
$79$	−3.05577	+	1.36052i	−0.343801	+	0.153070i	−0.571372	−	0.820691i	$-0.693589\pi$
$79$	−3.05577	+	1.36052i	−0.343801	+	0.153070i	0.227570	+	0.973762i	$0.426922\pi$
$80$	−0.605026	−	2.84642i	−0.0676440	−	0.318240i
$81$	10.8197	+	2.29981i	1.20219	+	0.255534i
$82$	−9.83931	−	4.38074i	−1.08657	−	0.483772i
$83$	8.04836	+	7.24677i	0.883422	+	0.795437i	0.979815	−	0.199907i	$-0.0640639\pi$
$83$	8.04836	+	7.24677i	0.883422	+	0.795437i	−0.0963931	+	0.995343i	$0.530731\pi$
$84$	8.58849	+	0.902686i	0.937081	+	0.0984912i
$85$	−8.04302	+	11.0703i	−0.872388	+	1.20074i
$86$	−4.82219	+	0.506832i	−0.519990	+	0.0546531i
$87$	−4.30910	+	7.46357i	−0.461984	+	0.800179i
$88$	−0.493906	−	0.855471i	−0.0526506	−	0.0911935i
$89$	−1.97090	−	2.71271i	−0.208915	−	0.287546i	0.691682	−	0.722202i	$-0.256870\pi$
$89$	−1.97090	−	2.71271i	−0.208915	−	0.287546i	−0.900597	+	0.434656i	$0.856870\pi$
$90$	−3.76625	−	4.18284i	−0.396998	−	0.440910i
$91$	−8.30929	−	11.2890i	−0.871050	−	1.18341i
$92$	−2.05198			−0.213934
$93$	−12.3574	+	0.505392i	−1.28140	+	0.0524067i
$94$	3.75957			0.387770
$95$	6.98866	+	21.5089i	0.717022	+	2.20677i
$96$	1.65075	−	1.48634i	0.168479	−	0.151699i
$97$	−6.49341	−	8.93741i	−0.659306	−	0.907456i	0.340153	−	0.940370i	$-0.389521\pi$
$97$	−6.49341	−	8.93741i	−0.659306	−	0.907456i	−0.999458	+	0.0329140i	$0.989521\pi$
$98$	−7.02717	+	4.05714i	−0.709851	+	0.409833i
$99$	−1.65466	−	0.955317i	−0.166299	−	0.0960130i
$100$	−0.362524	−	3.44919i	−0.0362524	−	0.344919i
$101$	14.2434	+	10.3484i	1.41727	+	1.02971i	0.992215	+	0.124536i	$0.0397444\pi$
$101$	14.2434	+	10.3484i	1.41727	+	1.02971i	0.425053	+	0.905169i	$0.360256\pi$
$102$	−10.3879	−	1.09181i	−1.02856	−	0.108106i
$103$	−2.11926	+	2.35367i	−0.208816	+	0.231914i	−0.838451	−	0.544978i	$-0.816538\pi$
$103$	−2.11926	+	2.35367i	−0.208816	+	0.231914i	0.629634	+	0.776892i	$0.283205\pi$
$104$	−3.58807	−	0.354657i	−0.351839	−	0.0347769i
$105$	24.5811	+	5.22488i	2.39887	+	0.509896i
$106$	−0.0700538	−	0.329577i	−0.00680423	−	0.0320114i
$107$	2.02273	−	0.900579i	0.195545	−	0.0870622i	−0.306628	−	0.951829i	$-0.599201\pi$
$107$	2.02273	−	0.900579i	0.195545	−	0.0870622i	0.502173	+	0.864767i	$0.332534\pi$
$108$	−0.731584	+	2.25158i	−0.0703967	+	0.216659i
$109$	−2.23511	−	0.726230i	−0.214084	−	0.0695602i	0.200011	−	0.979794i	$-0.435902\pi$
$109$	−2.23511	−	0.726230i	−0.214084	−	0.0695602i	−0.414096	+	0.910233i	$0.635902\pi$
$110$	−1.16918	−	2.62603i	−0.111477	−	0.250382i
$111$	−0.268449	−	1.26296i	−0.0254801	−	0.119874i
$112$	−0.808300	+	3.80275i	−0.0763772	+	0.359326i
$113$	0.425430	+	0.189414i	0.0400211	+	0.0178185i	0.426650	−	0.904417i	$-0.359694\pi$
$113$	0.425430	+	0.189414i	0.0400211	+	0.0178185i	−0.386629	+	0.922236i	$0.626360\pi$
$114$	−11.5514	+	12.8292i	−1.08189	+	1.20156i
$115$	−5.93858	−	0.624170i	−0.553775	−	0.0582041i
$116$	−3.13881	−	2.28048i	−0.291431	−	0.211737i
$117$	−6.35326	+	2.87596i	−0.587359	+	0.265882i
$118$	3.05744	−	5.29564i	0.281460	−	0.487503i
$119$	15.8318	−	9.14048i	1.45130	−	0.837907i
$120$	5.22952	−	3.79947i	0.477387	−	0.346842i
$121$	6.70752	+	7.44945i	0.609774	+	0.677223i
$122$	4.28094	−	1.39096i	0.387578	−	0.125932i
$123$		−	23.9245i		−	2.15720i
$124$	0.355230	−	5.55642i	0.0319006	−	0.498981i
$125$			4.45759i			0.398699i
$126$	2.32369	+	7.15159i	0.207011	+	0.637115i
$127$	−0.160176	−	0.177894i	−0.0142134	−	0.0157855i	0.735996	−	0.676986i	$-0.236714\pi$
$127$	−0.160176	−	0.177894i	−0.0142134	−	0.0157855i	−0.750210	+	0.661200i	$0.770047\pi$
$128$	0.587785	+	0.809017i	0.0519534	+	0.0715077i
$129$	−5.38528	−	9.32758i	−0.474148	−	0.821248i
$130$	−10.2762	−	2.11782i	−0.901287	−	0.185745i
$131$	−1.65235	−	15.7210i	−0.144366	−	1.37355i	−0.791496	−	0.611174i	$-0.790698\pi$
$131$	−1.65235	−	15.7210i	−0.144366	−	1.37355i	0.647130	−	0.762380i	$-0.275969\pi$
$132$	1.28974	−	1.77517i	0.112257	−	0.154509i
$133$	3.15824	−	30.0486i	0.273854	−	2.60555i
$134$	5.14268	−	5.71152i	0.444260	−	0.493401i
$135$	−2.80214	+	6.29371i	−0.241170	+	0.541677i
$136$	0.977652	−	4.59949i	0.0838330	−	0.394403i
$137$	−1.44410	−	6.79394i	−0.123378	−	0.580446i	−0.995789	−	0.0916738i	$-0.970778\pi$
$137$	−1.44410	−	6.79394i	−0.123378	−	0.580446i	0.872412	−	0.488772i	$-0.162555\pi$
$138$	−1.85394	−	4.16401i	−0.157818	−	0.354464i
$139$	−2.51099	+	7.72804i	−0.212980	+	0.655484i	0.786311	+	0.617831i	$0.211988\pi$
$139$	−2.51099	+	7.72804i	−0.212980	+	0.655484i	−0.999291	+	0.0376533i	$0.988012\pi$
$140$	−3.49600	+	10.7596i	−0.295466	+	0.909350i
$141$	3.39672	+	7.62916i	0.286055	+	0.642491i
$142$	−3.23146	+	0.686868i	−0.271178	+	0.0576407i
$143$	−3.53972	+	0.394230i	−0.296007	+	0.0329672i
$144$	1.76699	+	0.786713i	0.147249	+	0.0655594i
$145$	−8.39028	−	7.55464i	−0.696774	−	0.627379i
$146$	1.72735	−	16.4346i	0.142956	−	1.36014i
$147$	−14.5820	−	10.5944i	−1.20270	−	0.873813i
$148$	0.578082	−	0.0607588i	0.0475180	−	0.00499435i
$149$	−14.2428	−	8.22309i	−1.16682	−	0.673662i	−0.213889	−	0.976858i	$-0.568613\pi$
$149$	−14.2428	−	8.22309i	−1.16682	−	0.673662i	−0.952928	+	0.303196i	$0.901946\pi$
$150$	6.67179	−	3.85196i	0.544749	−	0.314511i
$151$	−8.86264	−	12.1984i	−0.721231	−	0.992690i	−0.999482	−	0.0321811i	$-0.989755\pi$
$151$	−8.86264	−	12.1984i	−0.721231	−	0.992690i	0.278251	−	0.960508i	$-0.410245\pi$
$152$	−5.20029	−	5.77550i	−0.421799	−	0.468455i
$153$	−2.81055	−	8.64997i	−0.227219	−	0.699309i
$154$			3.84033i			0.309462i
$155$	2.71821	−	15.9726i	0.218332	−	1.28295i
$156$	−2.52208	−	7.60157i	−0.201928	−	0.608612i
$157$	−1.76629	−	5.43608i	−0.140965	−	0.433847i	0.855505	−	0.517795i	$-0.173247\pi$
$157$	−1.76629	−	5.43608i	−0.140965	−	0.433847i	−0.996470	+	0.0839483i	$0.973247\pi$
$158$	2.48579	−	2.23822i	0.197759	−	0.178063i
$159$	0.605507	−	0.439927i	0.0480198	−	0.0348884i
$160$	1.45501	+	2.52015i	0.115028	+	0.199235i
$161$	6.90871	+	3.98875i	0.544483	+	0.314357i
$162$	−11.0009	+	1.15624i	−0.864310	+	0.0908426i
$163$	−9.47162	+	13.0366i	−0.741875	+	1.02110i	0.256634	+	0.966509i	$0.417387\pi$
$163$	−9.47162	+	13.0366i	−0.741875	+	1.02110i	−0.998509	+	0.0545943i	$0.982613\pi$
$164$	10.7115	+	1.12582i	0.836425	+	0.0879118i
$165$	4.27257	−	4.74517i	0.332619	−	0.369411i
$166$	−9.89382	−	4.40501i	−0.767909	−	0.341895i
$167$	3.40976	−	16.0417i	0.263855	−	1.24134i	−0.624076	−	0.781364i	$-0.714524\pi$
$167$	3.40976	−	16.0417i	0.263855	−	1.24134i	0.887931	−	0.459977i	$-0.152142\pi$
$168$	−8.44708	+	1.79548i	−0.651707	+	0.138525i
$169$	−6.35998	+	11.3380i	−0.489229	+	0.872155i
$170$	4.22847	−	13.0139i	0.324309	−	0.998120i
$171$	−14.2964	−	4.64517i	−1.09327	−	0.355225i
$172$	4.42955	−	1.97216i	0.337750	−	0.150376i
$173$	0.0703457	−	0.0149524i	0.00534829	−	0.00113681i	−0.205237	−	0.978712i	$-0.565796\pi$
$173$	0.0703457	−	0.0149524i	0.00534829	−	0.00113681i	0.210585	+	0.977576i	$0.432463\pi$
$174$	1.79182	−	8.42986i	0.135838	−	0.639066i
$175$	−5.48415	+	12.3176i	−0.414563	+	0.931124i
$176$	0.734088	+	0.660976i	0.0553340	+	0.0498229i
$177$	13.5086	+	1.41981i	1.01537	+	0.106720i
$178$	2.71271	+	1.97090i	0.203326	+	0.147725i
$179$	−0.0927944	−	0.882880i	−0.00693578	−	0.0659895i	0.990507	−	0.137466i	$-0.0438957\pi$
$179$	−0.0927944	−	0.882880i	−0.00693578	−	0.0659895i	−0.997442	+	0.0714762i	$0.977229\pi$
$180$	4.87449	+	2.81429i	0.363323	+	0.209764i
$181$	−3.18142	−	5.51038i	−0.236473	−	0.409583i	0.723227	−	0.690611i	$-0.242658\pi$
$181$	−3.18142	−	5.51038i	−0.236473	−	0.409583i	−0.959700	+	0.281027i	$0.909325\pi$
$182$	11.3911	+	8.16875i	0.844364	+	0.605508i
$183$	6.69041	+	7.43045i	0.494569	+	0.549275i
$184$	1.95155	−	0.634096i	0.143870	−	0.0467462i
$185$	1.69149			0.124361
$186$	11.5964	−	4.29930i	0.850289	−	0.315240i
$187$		−	4.64494i		−	0.339672i
$188$	−3.57556	+	1.16177i	−0.260774	+	0.0847308i
$189$	6.83988	−	6.15866i	0.497528	−	0.447976i
$190$	−13.2932	−	18.2966i	−0.964392	−	1.32737i
$191$	10.2919	+	17.8261i	0.744698	+	1.28985i	0.950336	+	0.311226i	$0.100740\pi$
$191$	10.2919	+	17.8261i	0.744698	+	1.28985i	−0.205638	+	0.978628i	$0.565927\pi$
$192$	−1.11065	+	1.92371i	−0.0801545	+	0.138832i
$193$	−13.0254	+	1.36903i	−0.937590	+	0.0985447i	−0.560982	−	0.827828i	$-0.689576\pi$
$193$	−13.0254	+	1.36903i	−0.937590	+	0.0985447i	−0.376608	+	0.926373i	$0.622910\pi$
$194$	8.93741	+	6.49341i	0.641668	+	0.466199i
$195$	−4.98684	−	22.7667i	−0.357115	−	1.63035i
$196$	5.42951	−	6.03008i	0.387822	−	0.430720i
$197$	−5.37744	+	12.0779i	−0.383127	+	0.860517i	0.614317	+	0.789060i	$0.289432\pi$
$197$	−5.37744	+	12.0779i	−0.383127	+	0.860517i	−0.997444	+	0.0714578i	$0.977235\pi$
$198$	1.86888	+	0.397243i	0.132816	+	0.0282308i
$199$	−5.43570	+	1.15539i	−0.385327	+	0.0819037i	−0.396502	−	0.918034i	$-0.629776\pi$
$199$	−5.43570	+	1.15539i	−0.385327	+	0.0819037i	0.0111753	+	0.999938i	$0.496443\pi$
$200$	1.41064	+	3.16835i	0.0997473	+	0.224036i
$201$	16.2365	+	5.27557i	1.14524	+	0.372110i
$202$	−16.7441	−	5.44048i	−1.17811	−	0.382791i
$203$	6.13500	+	13.7794i	0.430592	+	0.967127i
$204$	10.2169	−	2.17167i	0.715325	−	0.152047i
$205$	30.6573	+	6.51642i	2.14120	+	0.455126i
$206$	1.28821	−	2.89336i	0.0897536	−	0.201590i
$207$	2.65575	−	2.94951i	0.184587	−	0.205005i
$208$	3.52205	−	0.771475i	0.244210	−	0.0534922i
$209$	−6.21082	−	4.51242i	−0.429611	−	0.312131i
$210$	−24.9926	+	2.62683i	−1.72466	+	0.181269i
$211$	−10.6923	+	18.5196i	−0.736089	+	1.27494i	0.218155	+	0.975914i	$0.429996\pi$
$211$	−10.6923	+	18.5196i	−0.736089	+	1.27494i	−0.954244	+	0.299029i	$0.903337\pi$
$212$	0.168470	+	0.291799i	0.0115706	+	0.0200408i
$213$	−4.31342	−	5.93692i	−0.295551	−	0.406791i
$214$	−1.64544	+	1.48156i	−0.112480	+	0.101277i
$215$	13.4193	−	4.36021i	0.915192	−	0.297364i
$216$		−	2.36745i		−	0.161085i
$217$	−11.9969	+	18.0171i	−0.814401	+	1.22308i
$218$	2.35013			0.159171
$219$	34.9108	−	11.3432i	2.35906	−	0.766504i
$220$	1.92345	+	2.13621i	0.129679	+	0.144023i
$221$	−13.7777	−	9.88024i	−0.926789	−	0.664617i
$222$	0.645585	+	1.11819i	0.0433288	+	0.0750477i
$223$	9.37084	+	5.41026i	0.627518	+	0.362298i	0.779790	−	0.626041i	$-0.215326\pi$
$223$	9.37084	+	5.41026i	0.627518	+	0.362298i	−0.152272	+	0.988339i	$0.548659\pi$
$224$	−0.406376	−	3.86641i	−0.0271521	−	0.258335i
$225$	5.42704	+	3.94298i	0.361803	+	0.262865i
$226$	−0.463140	−	0.0486780i	−0.0308076	−	0.00323801i
$227$	−4.63264	−	4.17125i	−0.307479	−	0.276856i	0.500916	−	0.865496i	$-0.332997\pi$
$227$	−4.63264	−	4.17125i	−0.307479	−	0.276856i	−0.808395	+	0.588640i	$0.799663\pi$
$228$	7.02164	−	15.7709i	0.465019	−	1.04445i
$229$	5.16570	−	24.3027i	0.341359	−	1.60597i	−0.387881	−	0.921709i	$-0.626793\pi$
$229$	5.16570	−	24.3027i	0.341359	−	1.60597i	0.729240	−	0.684258i	$-0.239874\pi$
$230$	5.84080	−	1.24150i	0.385131	−	0.0818622i
$231$	−7.79304	+	3.46969i	−0.512745	+	0.228289i
$232$	3.68989	+	1.19892i	0.242253	+	0.0787129i
$233$	8.61891	−	26.5263i	0.564643	−	1.73779i	−0.104366	−	0.994539i	$-0.533281\pi$
$233$	8.61891	−	26.5263i	0.564643	−	1.73779i	0.669009	−	0.743254i	$-0.266719\pi$
$234$	5.15359	−	4.69846i	0.336901	−	0.307148i
$235$	−10.7013	+	2.27464i	−0.698077	+	0.148381i
$236$	−1.27135	+	5.98125i	−0.0827581	+	0.389346i
$237$	6.78781	+	3.02213i	0.440916	+	0.196308i
$238$	−12.2324	+	13.5854i	−0.792906	+	0.880611i
$239$	−7.08397	−	0.744555i	−0.458224	−	0.0481613i	−0.127395	−	0.991852i	$-0.540662\pi$
$239$	−7.08397	−	0.744555i	−0.458224	−	0.0481613i	−0.330829	+	0.943691i	$0.607328\pi$
$240$	−3.79947	+	5.22952i	−0.245255	+	0.337564i
$241$	−25.5223	+	2.68250i	−1.64403	+	0.172795i	−0.880853	−	0.473390i	$-0.843030\pi$
$241$	−25.5223	+	2.68250i	−1.64403	+	0.172795i	−0.763181	+	0.646185i	$0.776364\pi$
$242$	−8.68123	−	5.01211i	−0.558051	−	0.322191i
$243$	−8.73428	−	15.1282i	−0.560304	−	0.970475i
$244$	−3.64159	+	2.64577i	−0.233129	+	0.169378i
$245$	17.5476	−	15.8000i	1.12108	−	1.00942i
$246$	7.39308	+	22.7536i	0.471366	+	1.45071i
$247$	−26.5957	+	8.82402i	−1.69224	+	0.561459i
$248$	1.37918	+	5.39424i	0.0875783	+	0.342535i
$249$		−	24.0571i		−	1.52455i
$250$	−1.37747	−	4.23942i	−0.0871190	−	0.268125i
$251$	15.2925	+	16.9840i	0.965252	+	1.07202i	0.997366	+	0.0725364i	$0.0231093\pi$
$251$	15.2925	+	16.9840i	0.965252	+	1.07202i	−0.0321141	+	0.999484i	$0.510224\pi$
$252$	−4.41993	−	6.08351i	−0.278429	−	0.383225i
$253$	1.75541	−	1.01349i	0.110362	−	0.0637173i
$254$	0.207309	+	0.119690i	0.0130077	+	0.00751002i
$255$	30.2290	−	3.17720i	1.89301	−	0.198964i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−2.28106	+	21.7028i	−0.142288	+	1.35378i	0.657479	+	0.753473i	$0.271623\pi$
$257$	−2.28106	+	21.7028i	−0.142288	+	1.35378i	−0.799767	+	0.600310i	$0.795044\pi$
$258$	8.00409	+	7.20691i	0.498313	+	0.448683i
$259$	−2.06442	−	0.919140i	−0.128277	−	0.0571126i
$260$	10.4277	−	1.16137i	0.646701	−	0.0720251i
$261$	7.34032	−	1.56023i	0.454354	−	0.0965760i
$262$	6.42954	+	14.4410i	0.397219	+	0.892167i
$263$	−5.55274	+	17.0896i	−0.342397	+	1.05379i	0.620566	+	0.784154i	$0.286903\pi$
$263$	−5.55274	+	17.0896i	−0.342397	+	1.05379i	−0.962963	+	0.269635i	$0.913097\pi$
$264$	−0.678056	+	2.08684i	−0.0417315	+	0.128436i
$265$	0.398806	+	0.895732i	0.0244984	+	0.0550244i
$266$	6.28187	+	29.5539i	0.385166	+	1.81206i
$267$	−1.54858	+	7.28548i	−0.0947714	+	0.445864i
$268$	−3.12602	+	7.02116i	−0.190952	+	0.428886i
$269$	−10.9287	+	12.1375i	−0.666332	+	0.740037i	−0.977643	−	0.210271i	$-0.932565\pi$
$269$	−10.9287	+	12.1375i	−0.666332	+	0.740037i	0.311311	+	0.950308i	$0.399232\pi$
$270$	0.720131	−	6.85159i	0.0438258	−	0.416974i
$271$	−9.32807	+	12.8390i	−0.566640	+	0.779913i	−0.992152	−	0.125040i	$-0.960094\pi$
$271$	−9.32807	+	12.8390i	−0.566640	+	0.779913i	0.425512	+	0.904953i	$0.360094\pi$
$272$	0.491519	+	4.67649i	0.0298027	+	0.283554i
$273$	−6.28486	+	30.4959i	−0.380377	+	1.84570i
$274$	3.47286	+	6.01517i	0.209803	+	0.363390i
$275$	2.01371	+	2.77163i	0.121431	+	0.167135i
$276$	3.04995	+	3.38731i	0.183585	+	0.203892i
$277$	−5.55312	−	17.0908i	−0.333655	−	1.02688i	−0.967381	−	0.253326i	$-0.918475\pi$
$277$	−5.55312	−	17.0908i	−0.333655	−	1.02688i	0.633726	−	0.773557i	$-0.281525\pi$
$278$		−	8.12574i		−	0.487350i
$279$	7.52702	+	7.70193i	0.450631	+	0.461103i
$280$		−	11.3133i		−	0.676098i
$281$	0.936058	−	0.304144i	0.0558405	−	0.0181437i	−0.280964	−	0.959718i	$-0.590654\pi$
$281$	0.936058	−	0.304144i	0.0558405	−	0.0181437i	0.336804	+	0.941575i	$0.390654\pi$
$282$	−5.58801	−	6.20611i	−0.332761	−	0.369569i
$283$	−17.4264	+	12.6610i	−1.03589	+	0.752620i	−0.969479	−	0.245173i	$-0.921155\pi$
$283$	−17.4264	+	12.6610i	−1.03589	+	0.752620i	−0.0664126	+	0.997792i	$0.521155\pi$
$284$	2.86105	−	1.65183i	0.169772	−	0.0980179i
$285$	25.1183	−	43.5062i	1.48788	−	2.57708i
$286$	3.24465	−	1.46877i	0.191860	−	0.0868502i
$287$	−33.8755	−	24.6120i	−1.99961	−	1.45280i
$288$	−1.92361	−	0.202180i	−0.113350	−	0.0119136i
$289$	3.42001	−	3.79831i	0.201177	−	0.223430i
$290$	10.3141	+	4.59215i	0.605667	+	0.269660i
$291$	−5.10201	+	24.0031i	−0.299085	+	1.40709i
$292$	3.43577	+	16.1640i	0.201063	+	0.945929i
$293$	10.2745	+	23.0770i	0.600245	+	1.34817i	0.916704	+	0.399566i	$0.130839\pi$
$293$	10.2745	+	23.0770i	0.600245	+	1.34817i	−0.316460	+	0.948606i	$0.602494\pi$
$294$	17.1421	+	5.56981i	0.999749	+	0.324838i
$295$	−5.49876	+	16.9235i	−0.320150	+	0.985322i
$296$	−0.531013	+	0.236422i	−0.0308645	+	0.0137418i
$297$	−0.486223	−	2.28750i	−0.0282135	−	0.132734i
$298$	16.0868	+	3.41935i	0.931883	+	0.198078i
$299$	0.727748	−	7.36264i	0.0420868	−	0.425792i
$300$	−5.15492	+	5.72512i	−0.297620	+	0.330540i
$301$	−18.7473	−	1.97042i	−1.08057	−	0.113573i
$302$	12.1984	+	8.86264i	0.701938	+	0.509987i
$303$	−4.08788	−	38.8936i	−0.234843	−	2.23438i
$304$	6.73050	+	3.88585i	0.386020	+	0.222869i
$305$	−11.3438	+	6.54935i	−0.649545	+	0.375015i
$306$	5.34598	+	7.35811i	0.305609	+	0.420635i
$307$	19.7705	−	17.8015i	1.12836	−	1.01598i	0.128658	−	0.991689i	$-0.458933\pi$
$307$	19.7705	−	17.8015i	1.12836	−	1.01598i	0.999705	−	0.0242935i	$-0.00773363\pi$
$308$	−1.18673	−	3.65237i	−0.0676200	−	0.208113i
$309$	7.03527			0.400223
$310$	2.35064	+	16.0309i	0.133508	+	0.910491i
$311$	27.3022			1.54817			0.774083	−	0.633084i	$-0.218211\pi$
$311$	27.3022			1.54817			0.774083	+	0.633084i	$0.218211\pi$
$312$	4.74765	+	6.45015i	0.268783	+	0.365168i
$313$	−17.9457	−	19.9308i	−1.01435	−	1.12655i	−0.991928	−	0.126805i	$-0.959528\pi$
$313$	−17.9457	−	19.9308i	−1.01435	−	1.12655i	−0.0224255	−	0.999749i	$-0.507139\pi$
$314$	3.35968	+	4.62421i	0.189598	+	0.260959i
$315$	−10.9411	−	18.9506i	−0.616462	−	1.06774i
$316$	−1.67248	+	2.89682i	−0.0940844	+	0.162959i
$317$	−33.7985	+	3.55236i	−1.89831	+	0.199521i	−0.980366	−	0.197187i	$-0.936819\pi$
$317$	−33.7985	+	3.55236i	−1.89831	+	0.199521i	−0.917945	+	0.396707i	$0.870153\pi$
$318$	−0.439927	+	0.605507i	−0.0246699	+	0.0339551i
$319$	3.81150	+	0.400605i	0.213403	+	0.0224296i
$320$	−2.16256	−	1.94718i	−0.120891	−	0.108851i
$321$	−4.49311	−	2.00046i	−0.250781	−	0.111655i
$322$	−7.80317	−	1.65861i	−0.434854	−	0.0924310i
$323$	−7.59803	−	35.7459i	−0.422765	−	1.98896i
$324$	10.1052	−	4.49910i	0.561397	−	0.249950i
$325$	12.5045	−	0.0774836i	0.693624	−	0.00429802i
$326$	4.97953	−	15.3254i	0.275790	−	0.848796i
$327$	2.12331	+	4.76904i	0.117419	+	0.263728i
$328$	−10.5351	+	2.23931i	−0.581704	+	0.123645i
$329$	14.2967	+	3.03886i	0.788202	+	0.167538i
$330$	−2.59712	+	5.83323i	−0.142967	+	0.321108i
$331$	−12.2378	−	11.0189i	−0.672649	−	0.605656i	0.260359	−	0.965512i	$-0.416159\pi$
$331$	−12.2378	−	11.0189i	−0.672649	−	0.605656i	−0.933008	+	0.359856i	$0.882826\pi$
$332$	10.7708	+	1.13206i	0.591125	+	0.0621297i
$333$	−0.660840	+	0.909569i	−0.0362138	+	0.0498440i
$334$	1.71427	+	16.3102i	0.0938007	+	0.892454i
$335$	−11.1826	+	19.3689i	−0.610972	+	1.05823i
$336$	7.47882	−	4.31790i	0.408003	−	0.235561i
$337$	−11.7474	+	8.53502i	−0.639924	+	0.464932i	−0.859824	−	0.510590i	$-0.829427\pi$
$337$	−11.7474	+	8.53502i	−0.639924	+	0.464932i	0.219900	+	0.975522i	$0.429427\pi$
$338$	2.54506	−	12.7484i	0.138433	−	0.693424i
$339$	−0.319661	−	0.983814i	−0.0173616	−	0.0534335i
$340$			13.6836i			0.742098i
$341$	2.44046	+	4.92881i	0.132158	+	0.266910i
$342$	15.0321			0.812842
$343$	−4.11995	+	1.33865i	−0.222456	+	0.0722805i
$344$	−3.60332	+	3.24445i	−0.194278	+	0.174929i
$345$	7.79643	+	10.7309i	0.419745	+	0.577730i
$346$	−0.0622822	+	0.0359586i	−0.00334831	+	0.00193315i
$347$	13.4531	−	23.3015i	0.722201	−	1.25089i	−0.237915	−	0.971286i	$-0.576464\pi$
$347$	13.4531	−	23.3015i	0.722201	−	1.25089i	0.960116	−	0.279602i	$-0.0902026\pi$
$348$	0.900846	+	8.57098i	0.0482904	+	0.459453i
$349$	7.43366	−	10.2316i	0.397915	−	0.547683i	−0.562304	−	0.826930i	$-0.690085\pi$
$349$	7.43366	−	10.2316i	0.397915	−	0.547683i	0.960219	+	0.279248i	$0.0900850\pi$
$350$	1.40939	−	13.4094i	0.0753350	−	0.716765i
$351$	−7.81937	−	3.42351i	−0.417367	−	0.182733i
$352$	−0.902412	−	0.401780i	−0.0480987	−	0.0214149i
$353$	−2.83745	+	13.3492i	−0.151022	+	0.710504i	0.835844	+	0.548967i	$0.184979\pi$
$353$	−2.83745	+	13.3492i	−0.151022	+	0.710504i	−0.986867	+	0.161538i	$0.948355\pi$
$354$	−13.2862	+	2.82407i	−0.706153	+	0.150097i
$355$	8.78254	−	3.91024i	0.466129	−	0.207534i
$356$	−3.18898	−	1.03616i	−0.169016	−	0.0549165i
$357$	−38.6202	−	12.5485i	−2.04400	−	0.664134i
$358$	0.361078	+	0.810994i	0.0190835	+	0.0428623i
$359$	2.94873	+	13.8727i	0.155628	+	0.732171i	0.984872	+	0.173285i	$0.0554380\pi$
$359$	2.94873	+	13.8727i	0.155628	+	0.732171i	−0.829244	+	0.558887i	$0.811229\pi$
$360$	−5.50557	−	1.17025i	−0.290169	−	0.0616774i
$361$	−37.8203	−	16.8387i	−1.99054	−	0.886246i
$362$	4.72851	+	4.25757i	0.248525	+	0.223773i
$363$	2.32752	−	22.1449i	0.122163	−	1.16231i
$364$	−13.3579	−	4.24891i	−0.700142	−	0.222703i
$365$	5.02661	+	47.8250i	0.263105	+	2.50328i
$366$	−8.65909	−	4.99933i	−0.452618	−	0.261319i
$367$	−10.3298	−	17.8917i	−0.539209	−	0.933937i	−0.998947	−	0.0458826i	$-0.985390\pi$
$367$	−10.3298	−	17.8917i	−0.539209	−	0.933937i	0.459738	−	0.888055i	$-0.347943\pi$
$368$	−1.66009	+	1.20612i	−0.0865380	+	0.0628735i
$369$	−15.4814	+	13.9395i	−0.805931	+	0.725663i
$370$	−1.60871	+	0.522700i	−0.0836326	+	0.0271739i
$371$		−	1.30993i		−	0.0680079i
$372$	−9.70027	+	7.67236i	−0.502936	+	0.397793i
$373$	15.9663			0.826704			0.413352	−	0.910571i	$-0.364358\pi$
$373$	15.9663			0.826704			0.413352	+	0.910571i	$0.364358\pi$
$374$	1.43537	+	4.41760i	0.0742210	+	0.228429i
$375$	7.35839	−	6.62552i	0.379985	−	0.342140i
$376$	3.04155	−	2.20982i	0.156856	−	0.113963i
$377$	9.29571	−	10.4535i	0.478754	−	0.538381i
$378$	−4.60199	+	7.97087i	−0.236701	+	0.409977i
$379$	35.6054	−	3.74227i	1.82892	−	0.192228i	0.873373	−	0.487052i	$-0.161928\pi$
$379$	35.6054	−	3.74227i	1.82892	−	0.192228i	0.955551	+	0.294824i	$0.0952612\pi$
$380$	18.2966	+	13.2932i	0.938594	+	0.681928i
$381$	−0.0555816	+	0.528824i	−0.00284753	+	0.0270924i
$382$	−15.2968	−	13.7733i	−0.782652	−	0.704703i
$383$	−5.87322	+	13.1915i	−0.300108	+	0.674052i	−0.999158	−	0.0410195i	$-0.986939\pi$
$383$	−5.87322	+	13.1915i	−0.300108	+	0.674052i	0.699051	+	0.715072i	$0.253606\pi$
$384$	0.461836	−	2.17277i	0.0235680	−	0.110879i
$385$	−2.32350	−	10.9312i	−0.118416	−	0.557106i
$386$	11.9649	−	5.32710i	0.608995	−	0.271142i
$387$	−2.89811	+	8.91947i	−0.147319	+	0.453402i
$388$	−10.5066	−	3.41379i	−0.533389	−	0.173309i
$389$	3.87133	−	1.72363i	0.196284	−	0.0873913i	−0.306241	−	0.951954i	$-0.599071\pi$
$389$	3.87133	−	1.72363i	0.196284	−	0.0873913i	0.502525	+	0.864563i	$0.332405\pi$
$390$	11.7781	+	20.1114i	0.596405	+	1.01838i
$391$	9.43806	+	2.00612i	0.477303	+	0.101454i
$392$	−3.30037	+	7.41276i	−0.166694	+	0.374401i
$393$	−23.4956	+	26.0945i	−1.18520	+	1.31629i
$394$	1.38197	−	13.1485i	0.0696224	−	0.662413i
$395$	−5.72143	+	7.87488i	−0.287877	+	0.396228i
$396$	−1.90017	+	0.199716i	−0.0954870	+	0.0100361i
$397$	−0.585164	−	0.337845i	−0.0293685	−	0.0169559i	0.485244	−	0.874379i	$-0.338731\pi$
$397$	−0.585164	−	0.337845i	−0.0293685	−	0.0169559i	−0.514612	+	0.857423i	$0.672064\pi$
$398$	4.81262	−	2.77857i	0.241235	−	0.139277i
$399$	−54.2971	+	39.4491i	−2.71825	+	1.97493i
$400$	−2.32067	−	2.57737i	−0.116034	−	0.128868i
$401$	13.0766	−	4.24883i	0.653013	−	0.212177i	0.0362707	−	0.999342i	$-0.488452\pi$
$401$	13.0766	−	4.24883i	0.653013	−	0.212177i	0.616742	+	0.787165i	$0.288452\pi$
$402$	−17.0721			−0.851480
$403$	19.8108	+	3.24521i	0.986847	+	0.161655i
$404$	17.6058			0.875920
$405$	30.6136	−	9.94696i	1.52120	−	0.494268i
$406$	−10.0928	−	11.2092i	−0.500898	−	0.556303i
$407$	−0.464523	+	0.337496i	−0.0230255	+	0.0167290i
$408$	−9.04575	+	5.22257i	−0.447832	+	0.258556i
$409$	−9.76331	−	5.63685i	−0.482765	−	0.278724i	0.238803	−	0.971068i	$-0.423245\pi$
$409$	−9.76331	−	5.63685i	−0.482765	−	0.278724i	−0.721568	+	0.692344i	$0.756578\pi$
$410$	−31.1705	+	3.27616i	−1.53940	+	0.161798i
$411$	−9.06870	+	12.4820i	−0.447326	+	0.615691i
$412$	−0.331060	+	3.14983i	−0.0163102	+	0.155181i
$413$	15.9071	−	17.6667i	0.782739	−	0.869320i
$414$	−1.61432	+	3.62582i	−0.0793394	+	0.178199i
$415$	30.8271	+	6.55251i	1.51325	+	0.321650i
$416$	−3.11127	+	1.82209i	−0.152542	+	0.0893353i
$417$	16.4893	−	7.34150i	0.807484	−	0.359515i
$418$	7.30125	+	2.37232i	0.357116	+	0.116034i
$419$	7.70864	−	23.7248i	0.376592	−	1.15903i	−0.565806	−	0.824538i	$-0.691435\pi$
$419$	7.70864	−	23.7248i	0.376592	−	1.15903i	0.942398	−	0.334493i	$-0.108565\pi$
$420$	22.9577	−	10.2214i	1.12022	−	0.498754i
$421$	5.75197	+	27.0609i	0.280334	+	1.31887i	0.862607	+	0.505874i	$0.168830\pi$
$421$	5.75197	+	27.0609i	0.280334	+	1.31887i	−0.582273	+	0.812993i	$0.697837\pi$
$422$	4.44611	−	20.9173i	0.216433	−	1.01824i
$423$	2.95770	−	6.64310i	0.143808	−	0.322999i
$424$	−0.250395	−	0.225457i	−0.0121603	−	0.0109492i
$425$	−1.70468	+	16.2189i	−0.0826891	+	0.786734i
$426$	5.93692	+	4.31342i	0.287644	+	0.208986i
$427$	17.4037	−	1.82920i	0.842223	−	0.0885212i
$428$	1.10708	−	1.91752i	0.0535127	−	0.0926866i
$429$	5.91203	+	5.25725i	0.285435	+	0.253822i
$430$	−11.4152	+	8.29361i	−0.550489	+	0.399953i
$431$	−10.8515	+	9.77069i	−0.522696	+	0.470638i	−0.887735	−	0.460355i	$-0.847722\pi$
$431$	−10.8515	+	9.77069i	−0.522696	+	0.470638i	0.365039	+	0.930992i	$0.381056\pi$
$432$	0.731584	+	2.25158i	0.0351983	+	0.108329i
$433$	30.1059			1.44680			0.723398	−	0.690432i	$-0.242579\pi$
$433$	30.1059			1.44680			0.723398	+	0.690432i	$0.242579\pi$
$434$	5.84211	−	20.8426i	0.280430	−	1.00047i
$435$			25.0791i			1.20245i
$436$	−2.23511	+	0.726230i	−0.107042	+	0.0347801i
$437$	11.8512	−	10.6709i	0.566920	−	0.510457i
$438$	−29.6969	+	21.5761i	−1.41897	+	1.03095i
$439$	9.38943	+	16.2630i	0.448133	+	0.776189i	0.998265	−	0.0588887i	$-0.0187557\pi$
$439$	9.38943	+	16.2630i	0.448133	+	0.776189i	−0.550131	+	0.835078i	$0.685422\pi$
$440$	−2.48943	−	1.43728i	−0.118679	−	0.0685194i
$441$	1.64054	+	15.6087i	0.0781210	+	0.743272i
$442$	16.1565	+	5.13912i	0.768489	+	0.244443i
$443$	−0.901957	+	8.58155i	−0.0428533	+	0.407722i	0.951977	+	0.306170i	$0.0990475\pi$
$443$	−0.901957	+	8.58155i	−0.0428533	+	0.407722i	−0.994830	+	0.101552i	$0.967619\pi$
$444$	−0.959527	−	0.863962i	−0.0455371	−	0.0410018i
$445$	−8.91396	−	3.96875i	−0.422562	−	0.188137i
$446$	−10.5841	−	2.24971i	−0.501170	−	0.106527i
$447$	7.59544	+	35.7337i	0.359252	+	1.69015i
$448$	1.58127	+	3.55160i	0.0747081	+	0.167797i
$449$	27.0791	+	8.79855i	1.27794	+	0.415229i	0.867856	−	0.496817i	$-0.165498\pi$
$449$	27.0791	+	8.79855i	1.27794	+	0.415229i	0.410088	+	0.912046i	$0.365498\pi$
$450$	−6.37987	−	2.07295i	−0.300750	−	0.0977196i
$451$	−9.71940	+	4.32736i	−0.457669	+	0.203767i
$452$	0.455515	−	0.0968227i	0.0214256	−	0.00455416i
$453$	−6.96357	+	32.7610i	−0.327177	+	1.53925i
$454$	5.69489	+	2.53553i	0.267275	+	0.118998i
$455$	−37.3662	−	16.3598i	−1.75175	−	0.766961i
$456$	−1.80451	+	17.1688i	−0.0845040	+	0.804002i
$457$	−19.5135	+	26.8580i	−0.912801	+	1.25636i	0.0533996	+	0.998573i	$0.482994\pi$
$457$	−19.5135	+	26.8580i	−0.912801	+	1.25636i	−0.966201	+	0.257790i	$0.917006\pi$
$458$	2.59708	+	24.7095i	0.121353	+	1.15460i
$459$	5.56618	−	9.64090i	0.259807	−	0.449999i
$460$	−5.17129	+	2.98565i	−0.241113	+	0.139206i
$461$	−5.63495	−	7.75584i	−0.262446	−	0.361226i	0.657376	−	0.753563i	$-0.271667\pi$
$461$	−5.63495	−	7.75584i	−0.262446	−	0.361226i	−0.919821	+	0.392338i	$0.871667\pi$
$462$	6.33943	−	5.70805i	0.294937	−	0.265563i
$463$	−35.0900	+	11.4014i	−1.63077	+	0.529870i	−0.974448	−	0.224611i	$-0.927889\pi$
$463$	−35.0900	+	11.4014i	−1.63077	+	0.529870i	−0.656322	+	0.754481i	$0.727889\pi$
$464$	−3.87978			−0.180114
$465$	−30.4071	+	19.2538i	−1.41009	+	0.892871i
$466$			27.8914i			1.29204i
$467$	2.01414	+	6.19890i	0.0932035	+	0.286851i	0.986781	−	0.162057i	$-0.0518130\pi$
$467$	2.01414	+	6.19890i	0.0932035	+	0.286851i	−0.893578	+	0.448908i	$0.851813\pi$
$468$	−3.44945	+	6.06105i	−0.159451	+	0.280172i
$469$	24.1730	−	17.5627i	1.11620	−	0.810970i
$470$	9.47466	−	5.47020i	0.437033	−	0.252321i
$471$	−6.34831	+	10.9956i	−0.292515	+	0.506650i
$472$	−0.639178	−	6.08138i	−0.0294206	−	0.279918i
$473$	−2.81529	+	3.87491i	−0.129447	+	0.178169i
$474$	−7.38948	−	0.776666i	−0.339410	−	0.0356734i
$475$	20.0305	+	18.0356i	0.919064	+	0.827529i
$476$	7.43554	−	16.7005i	0.340807	−	0.765466i
$477$	−0.637471	−	0.135499i	−0.0291878	−	0.00620405i
$478$	6.96734	−	1.48095i	0.318679	−	0.0677372i
$479$	−16.3382	−	36.6962i	−0.746512	−	1.67669i	−0.736216	−	0.676746i	$-0.763389\pi$
$479$	−16.3382	−	36.6962i	−0.746512	−	1.67669i	−0.0102957	−	0.999947i	$-0.503277\pi$
$480$	1.99750	−	6.14767i	0.0911729	−	0.280601i
$481$	0.0129862	+	2.09574i	0.000592119	+	0.0955577i
$482$	23.4442	−	10.4380i	1.06785	−	0.475439i
$483$	−3.68429	−	17.3332i	−0.167641	−	0.788689i
$484$	9.80517	+	2.08415i	0.445690	+	0.0947343i
$485$	−29.3683	−	13.0756i	−1.33355	−	0.593734i
$486$	12.9817	+	11.6887i	0.588860	+	0.530212i
$487$	−3.15896	−	0.332020i	−0.143146	−	0.0150453i	0.0326843	−	0.999466i	$-0.489594\pi$
$487$	−3.15896	−	0.332020i	−0.143146	−	0.0150453i	−0.175830	+	0.984420i	$0.556261\pi$
$488$	2.64577	−	3.64159i	0.119768	−	0.164847i
$489$	35.5983	−	3.74153i	1.60981	−	0.169198i
$490$	−11.8063	+	20.4492i	−0.533356	+	0.923799i
$491$	−11.2464	−	19.4794i	−0.507544	−	0.879092i	−0.999962	−	0.00873308i	$-0.997220\pi$
$491$	−11.2464	−	19.4794i	−0.507544	−	0.879092i	0.492418	−	0.870359i	$-0.336113\pi$
$492$	−14.0625	−	19.3553i	−0.633986	−	0.872606i
$493$	12.2074	+	13.5577i	0.549794	+	0.610609i
$494$	22.5672	−	16.6107i	1.01535	−	0.747349i
$495$	−5.55997			−0.249902
$496$	−2.97860	−	4.70404i	−0.133743	−	0.211218i
$497$	−12.8436			−0.576116
$498$	7.43404	+	22.8796i	0.333127	+	1.02526i
$499$	−10.0890	+	9.08419i	−0.451646	+	0.406664i	−0.863312	−	0.504671i	$-0.831614\pi$
$499$	−10.0890	+	9.08419i	−0.451646	+	0.406664i	0.411665	+	0.911335i	$0.364947\pi$
$500$	2.62011	+	3.60627i	0.117175	+	0.161277i
$501$	−31.5489	+	18.2148i	−1.40950	+	0.813775i
$502$	−19.7923	−	11.4271i	−0.883375	−	0.510017i
$503$	0.0655324	+	0.623499i	0.00292195	+	0.0278004i	0.995886	−	0.0906180i	$-0.0288842\pi$
$503$	0.0655324	+	0.623499i	0.00292195	+	0.0278004i	−0.992964	+	0.118418i	$0.962218\pi$
$504$	6.08351	+	4.41993i	0.270981	+	0.196879i
$505$	50.9524	+	5.35531i	2.26735	+	0.238308i
$506$	−1.35631	+	1.50633i	−0.0602953	+	0.0669647i
$507$	28.1694	−	6.35344i	1.25105	−	0.282166i
$508$	−0.234149	−	0.0497699i	−0.0103887	−	0.00220818i
$509$	7.38900	+	34.7625i	0.327512	+	1.54082i	0.766450	+	0.642304i	$0.222021\pi$
$509$	7.38900	+	34.7625i	0.327512	+	1.54082i	−0.438939	+	0.898517i	$0.644646\pi$
$510$	−27.7677	+	12.3630i	−1.22957	+	0.547441i
$511$	19.8528	−	61.1006i	0.878235	−	2.70293i
$512$	0.951057	+	0.309017i	0.0420312	+	0.0136568i
$513$	−7.48361	−	16.8085i	−0.330410	−	0.742112i
$514$	−4.53712	−	21.3455i	−0.200124	−	0.941508i
$515$	−1.91623	+	9.01513i	−0.0844390	+	0.397254i
$516$	−9.83940	−	4.38078i	−0.433155	−	0.192853i
$517$	2.48498	−	2.75985i	0.109289	−	0.121378i
$518$	2.24741	+	0.236213i	0.0987456	+	0.0103786i
$519$	−0.129241	−	0.0938989i	−0.00567304	−	0.00412171i
$520$	−9.55848	+	4.32688i	−0.419167	+	0.189746i
$521$	−9.01623	+	15.6166i	−0.395008	+	0.684175i	−0.993102	−	0.117251i	$-0.962592\pi$
$521$	−9.01623	+	15.6166i	−0.395008	+	0.684175i	0.598094	+	0.801426i	$0.295925\pi$
$522$	−6.49892	+	3.75215i	−0.284450	+	0.164227i
$523$	30.5115	−	22.1679i	1.33418	−	0.969336i	0.334540	−	0.942382i	$-0.391419\pi$
$523$	30.5115	−	22.1679i	1.33418	−	0.969336i	0.999637	−	0.0269545i	$-0.00858091\pi$
$524$	−10.5774	−	11.7474i	−0.462075	−	0.513186i
$525$	28.4847	−	9.25523i	1.24317	−	0.403932i
$526$		−	17.9691i		−	0.783488i
$527$	−7.06612	+	25.2094i	−0.307805	+	1.09814i
$528$		−	2.19424i		−	0.0954919i
$529$	−5.80624	−	17.8698i	−0.252445	−	0.776946i
$530$	−0.656083	−	0.728654i	−0.0284984	−	0.0316507i
$531$	−6.95199	−	9.56859i	−0.301691	−	0.415242i
$532$	−15.1071	−	26.1662i	−0.654974	−	1.13445i
$533$	−7.83841	+	38.0342i	−0.339519	+	1.64744i
$534$	−0.778554	−	7.40744i	−0.0336913	−	0.320551i
$535$	3.78724	−	5.21268i	0.163736	−	0.225364i
$536$	0.803365	−	7.64351i	0.0347001	−	0.330149i
$537$	−1.31949	+	1.46544i	−0.0569403	+	0.0632386i
$538$	6.64308	−	14.9206i	0.286403	−	0.643272i
$539$	−1.66649	+	7.84023i	−0.0717809	+	0.337703i
$540$	1.43237	+	6.73878i	0.0616395	+	0.289991i
$541$	3.29791	+	7.40723i	0.141788	+	0.318462i	0.970456	−	0.241280i	$-0.0775671\pi$
$541$	3.29791	+	7.40723i	0.141788	+	0.318462i	−0.828667	+	0.559741i	$0.810900\pi$
$542$	4.90406	−	15.0931i	0.210647	−	0.648306i
$543$	−4.36759	+	13.4421i	−0.187431	+	0.576854i
$544$	−1.91258	−	4.29572i	−0.0820010	−	0.184177i
$545$	−6.68947	+	1.42189i	−0.286545	+	0.0609071i
$546$	−3.44650	−	30.9455i	−0.147496	−	1.32434i
$547$	−3.70130	−	1.64792i	−0.158256	−	0.0704602i	0.326080	−	0.945342i	$-0.394272\pi$
$547$	−3.70130	−	1.64792i	−0.158256	−	0.0704602i	−0.484336	+	0.874882i	$0.660939\pi$
$548$	−5.16168	−	4.64760i	−0.220496	−	0.198536i
$549$	0.910061	−	8.65865i	0.0388405	−	0.369542i
$550$	−2.77163	−	2.01371i	−0.118183	−	0.0858647i
$551$	29.9874	−	3.15180i	1.27750	−	0.134271i
$552$	−3.94741	−	2.27904i	−0.168013	−	0.0970023i
$553$	11.2620	−	6.50211i	0.478909	−	0.276498i
$554$	10.5627	+	14.5383i	0.448765	+	0.617672i
$555$	−2.51414	−	2.79224i	−0.106719	−	0.118524i
$556$	2.51099	+	7.72804i	0.106490	+	0.327742i
$557$		−	3.46560i		−	0.146842i	−0.997301	−	0.0734210i	$-0.976608\pi$
$557$		−	3.46560i		−	0.146842i	0.997301	−	0.0734210i	$-0.0233917\pi$
$558$	−9.53865	−	4.99899i	−0.403803	−	0.211624i
$559$	5.50528	+	16.5930i	0.232849	+	0.701808i
$560$	3.49600	+	10.7596i	0.147733	+	0.454675i
$561$	−7.66765	+	6.90398i	−0.323728	+	0.291486i
$562$	−0.796258	+	0.578515i	−0.0335881	+	0.0244032i
$563$	4.20647	+	7.28582i	0.177282	+	0.307061i	0.940948	−	0.338550i	$-0.109936\pi$
$563$	4.20647	+	7.28582i	0.177282	+	0.307061i	−0.763667	+	0.645610i	$0.776603\pi$
$564$	7.23231	+	4.17558i	0.304535	+	0.175823i
$565$	1.34775	−	0.141654i	0.0567001	−	0.00595942i
$566$	12.6610	−	17.4264i	0.532182	−	0.732486i
$567$	−42.7682	−	4.49512i	−1.79609	−	0.188777i
$568$	−2.21058	+	2.45509i	−0.0927537	+	0.103013i
$569$	−35.8565	−	15.9643i	−1.50318	−	0.669260i	−0.520382	−	0.853933i	$-0.674211\pi$
$569$	−35.8565	−	15.9643i	−1.50318	−	0.669260i	−0.982800	+	0.184674i	$0.940877\pi$
$570$	−10.4448	+	49.1388i	−0.437484	+	2.05820i
$571$	−23.0681	+	4.90327i	−0.965369	+	0.205196i	−0.663519	−	0.748160i	$-0.730938\pi$
$571$	−23.0681	+	4.90327i	−0.965369	+	0.205196i	−0.301851	+	0.953355i	$0.597604\pi$
$572$	−2.63197	+	2.39954i	−0.110048	+	0.100330i
$573$	14.1292	−	43.4852i	0.590256	−	1.81662i
$574$	39.8231	+	12.9393i	1.66218	+	0.540076i
$575$	−6.50138	+	2.89460i	−0.271126	+	0.120713i
$576$	1.89194	−	0.402144i	0.0788308	−	0.0167560i
$577$	−6.40786	+	30.1466i	−0.266763	+	1.25502i	0.616955	+	0.786999i	$0.288366\pi$
$577$	−6.40786	+	30.1466i	−0.266763	+	1.25502i	−0.883717	+	0.468021i	$0.844967\pi$
$578$	−2.07888	+	4.66925i	−0.0864701	+	0.194215i
$579$	21.6202	+	19.4669i	0.898504	+	0.809017i
$580$	−11.2284	−	1.18015i	−0.466233	−	0.0490031i
$581$	−34.0632	−	24.7483i	−1.41318	−	1.02673i
$582$	−2.56506	−	24.4049i	−0.106325	−	1.01162i
$583$	−0.288243	−	0.166417i	−0.0119378	−	0.00689228i
$584$	−8.26257	−	14.3112i	−0.341908	−	0.592202i
$585$	−11.8266	+	16.4919i	−0.488970	+	0.681855i
$586$	−16.9028	−	18.7725i	−0.698250	−	0.775485i
$587$	29.0445	−	9.43714i	1.19880	−	0.389513i	0.359479	−	0.933153i	$-0.382955\pi$
$587$	29.0445	−	9.43714i	1.19880	−	0.389513i	0.839318	+	0.543641i	$0.182955\pi$
$588$	−18.0243			−0.743310
$589$	26.8434	+	33.9384i	1.10606	+	1.39841i
$590$		−	17.7944i		−	0.732583i
$591$	27.9304	−	9.07515i	1.14890	−	0.373302i
$592$	0.431965	−	0.388943i	0.0177536	−	0.0159855i
$593$	9.02363	+	12.4200i	0.370556	+	0.510027i	0.953052	−	0.302807i	$-0.0979238\pi$
$593$	9.02363	+	12.4200i	0.370556	+	0.510027i	−0.582496	+	0.812834i	$0.697924\pi$
$594$	1.16930	+	2.02529i	0.0479770	+	0.0830986i
$595$	26.5989	−	46.0707i	1.09045	−	1.88872i
$596$	−16.3561	+	1.71909i	−0.669972	+	0.0704169i
$597$	9.98660	+	7.25569i	0.408724	+	0.296956i
$598$	1.58305	+	7.22717i	0.0647357	+	0.295541i
$599$	−7.60420	+	8.44532i	−0.310699	+	0.345067i	−0.878189	−	0.478314i	$-0.841248\pi$
$599$	−7.60420	+	8.44532i	−0.310699	+	0.345067i	0.567490	+	0.823381i	$0.307915\pi$
$600$	3.13346	−	7.03788i	0.127923	−	0.287320i
$601$	10.3086	+	2.19116i	0.420496	+	0.0893792i	0.413300	−	0.910595i	$-0.364376\pi$
$601$	10.3086	+	2.19116i	0.420496	+	0.0893792i	0.00719600	+	0.999974i	$0.497709\pi$
$602$	18.4386	−	3.91924i	0.751501	−	0.159736i
$603$	−6.04637	−	13.5804i	−0.246227	−	0.553036i
$604$	−14.3400	−	4.65936i	−0.583488	−	0.189587i
$605$	27.7429	+	9.01423i	1.12791	+	0.366480i
$606$	15.9066	+	35.7268i	0.646161	+	1.45130i
$607$	7.84243	−	1.66696i	0.318314	−	0.0676598i	−0.0459838	−	0.998942i	$-0.514642\pi$
$607$	7.84243	−	1.66696i	0.318314	−	0.0676598i	0.364298	+	0.931282i	$0.381309\pi$
$608$	−7.60188	−	1.61583i	−0.308297	−	0.0655305i
$609$	13.6277	−	30.6084i	0.552223	−	1.24031i
$610$	8.76474	−	9.73423i	0.354874	−	0.394128i
$611$	−2.90041	−	13.2414i	−0.117338	−	0.535689i
$612$	−7.35811	−	5.34598i	−0.297434	−	0.216098i
$613$	−0.673703	+	0.0708090i	−0.0272106	+	0.00285995i	−0.118124	−	0.992999i	$-0.537688\pi$
$613$	−0.673703	+	0.0708090i	−0.0272106	+	0.00285995i	0.0909134	+	0.995859i	$0.471021\pi$
$614$	−13.3019	+	23.0396i	−0.536822	+	0.929803i
$615$	−34.8104	−	60.2933i	−1.40369	−	2.43126i
$616$	2.25729	+	3.10689i	0.0909487	+	0.125180i
$617$	20.5101	−	18.4674i	0.825704	−	0.743468i	−0.143520	−	0.989647i	$-0.545842\pi$
$617$	20.5101	−	18.4674i	0.825704	−	0.743468i	0.969224	+	0.246180i	$0.0791754\pi$
$618$	−6.69094	+	2.17402i	−0.269149	+	0.0874519i
$619$		−	29.7338i		−	1.19510i	−0.801830	−	0.597552i	$-0.796140\pi$
$619$		−	29.7338i		−	1.19510i	0.801830	−	0.597552i	$-0.203860\pi$
$620$	−7.18940	−	14.5199i	−0.288733	−	0.583132i
$621$	4.85797			0.194943
$622$	−25.9659	+	8.43684i	−1.04114	+	0.338287i
$623$	8.72268	+	9.68752i	0.349467	+	0.388122i
$624$	−6.50849	−	4.66736i	−0.260548	−	0.186844i
$625$	15.1563	+	26.2515i	0.606252	+	1.05006i
$626$	23.2264	+	13.4097i	0.928312	+	0.535961i
$627$	1.78252	+	16.9595i	0.0711870	+	0.677299i
$628$	−4.62421	−	3.35968i	−0.184526	−	0.134066i
$629$	−2.71828	−	0.285703i	−0.108385	−	0.0113917i
$630$	16.2617	+	14.6421i	0.647881	+	0.583354i
$631$	20.1647	−	45.2906i	0.802743	−	1.80299i	0.253480	−	0.967341i	$-0.418425\pi$
$631$	20.1647	−	45.2906i	0.802743	−	1.80299i	0.549263	−	0.835650i	$-0.314909\pi$
$632$	0.695456	−	3.27186i	0.0276638	−	0.130148i
$633$	46.4638	−	9.87618i	1.84677	−	0.392543i
$634$	31.0465	−	13.8228i	1.23301	−	0.548973i
$635$	−0.662505	−	0.215261i	−0.0262907	−	0.00854237i
$636$	0.231283	−	0.711816i	0.00917097	−	0.0282253i
$637$	19.7107	+	21.6200i	0.780967	+	0.856617i
$638$	−3.74875	+	0.796821i	−0.148414	+	0.0315465i
$639$	−1.32855	+	6.25031i	−0.0525564	+	0.247259i
$640$	2.65843	+	1.18361i	0.105084	+	0.0467863i
$641$	−21.9211	+	24.3459i	−0.865832	+	0.961604i	−0.999567	−	0.0294135i	$-0.990636\pi$
$641$	−21.9211	+	24.3459i	−0.865832	+	0.961604i	0.133736	+	0.991017i	$0.457303\pi$
$642$	4.89138	+	0.514105i	0.193047	+	0.0202901i
$643$	1.26253	−	1.73772i	0.0497893	−	0.0685291i	−0.783396	−	0.621522i	$-0.786514\pi$
$643$	1.26253	−	1.73772i	0.0497893	−	0.0685291i	0.833186	+	0.552993i	$0.186514\pi$
$644$	7.93379	−	0.833875i	0.312635	−	0.0328593i
$645$	−27.1434	−	15.6713i	−1.06877	−	0.617055i
$646$	18.2722	+	31.6485i	0.718912	+	1.24519i
$647$	31.3068	−	22.7457i	1.23080	−	0.894226i	0.233847	−	0.972273i	$-0.424868\pi$
$647$	31.3068	−	22.7457i	1.23080	−	0.894226i	0.996950	+	0.0780472i	$0.0248685\pi$
$648$	−8.22027	+	7.40156i	−0.322923	+	0.290761i
$649$	−1.86657	−	5.74471i	−0.0732693	−	0.225500i
$650$	−11.8685	+	3.93779i	−0.465522	+	0.154453i
$651$	47.5734	−	6.97580i	1.86455	−	0.273403i
$652$			16.1141i			0.631076i
$653$	7.14548	+	21.9915i	0.279624	+	0.860595i	0.987959	+	0.154718i	$0.0494469\pi$
$653$	7.14548	+	21.9915i	0.279624	+	0.860595i	−0.708334	+	0.705877i	$0.750553\pi$
$654$	−3.49310	−	3.87949i	−0.136591	−	0.151700i
$655$	−27.0384	−	37.2151i	−1.05648	−	1.45412i
$656$	9.32750	−	5.38523i	0.364178	−	0.210258i
$657$	−27.6808	−	15.9815i	−1.07993	−	0.623499i
$658$	−14.5360	+	1.52780i	−0.566673	+	0.0595598i
$659$	5.83663	+	4.24056i	0.227363	+	0.165189i	0.695635	−	0.718396i	$-0.255123\pi$
$659$	5.83663	+	4.24056i	0.227363	+	0.165189i	−0.468272	+	0.883584i	$0.655123\pi$
$660$	0.667441	−	6.35028i	0.0259801	−	0.247184i
$661$	24.5156	+	22.0740i	0.953548	+	0.858578i	0.990044	−	0.140756i	$-0.0449532\pi$
$661$	24.5156	+	22.0740i	0.953548	+	0.858578i	−0.0364968	+	0.999334i	$0.511620\pi$
$662$	15.0439	+	6.69796i	0.584696	+	0.260323i
$663$	4.16859	+	37.4291i	0.161895	+	1.45362i
$664$	−10.5935	+	2.25171i	−0.411106	+	0.0873833i
$665$	−35.7617	−	80.3222i	−1.38678	−	3.11476i
$666$	0.347424	−	1.06926i	0.0134624	−	0.0414331i
$667$	−2.46016	+	7.57158i	−0.0952576	+	0.293173i
$668$	−6.67049	−	14.9822i	−0.258089	−	0.579678i
$669$	−4.99730	−	23.5105i	−0.193207	−	0.908967i
$670$	4.65000	−	21.8765i	0.179645	−	0.845164i
$671$	1.80851	−	4.06198i	0.0698168	−	0.156811i
$672$	−5.77847	+	6.41765i	−0.222910	+	0.247566i
$673$	−0.162493	+	1.54601i	−0.00626363	+	0.0595945i	−0.997207	−	0.0746843i	$-0.976205\pi$
$673$	−0.162493	+	1.54601i	−0.00626363	+	0.0595945i	0.990944	+	0.134279i	$0.0428718\pi$
$674$	8.53502	−	11.7474i	0.328757	−	0.452495i
$675$	0.858260	+	8.16580i	0.0330344	+	0.314302i
$676$	1.51898	+	12.9110i	0.0584225	+	0.496575i
$677$	0.579917	+	1.00444i	0.0222880	+	0.0386040i	0.876954	−	0.480574i	$-0.159572\pi$
$677$	0.579917	+	1.00444i	0.0222880	+	0.0386040i	−0.854666	+	0.519178i	$0.826238\pi$
$678$	0.608031	+	0.836883i	0.0233513	+	0.0321403i
$679$	28.7381	+	31.9169i	1.10287	+	1.22486i
$680$	−4.22847	−	13.0139i	−0.162154	−	0.499060i
$681$			13.8473i			0.530629i
$682$	−3.84410	−	3.93343i	−0.147198	−	0.150619i
$683$		−	16.6752i		−	0.638059i	−0.947745	−	0.319030i	$-0.896643\pi$
$683$		−	16.6752i		−	0.638059i	0.947745	−	0.319030i	$-0.103357\pi$
$684$	−14.2964	+	4.64517i	−0.546635	+	0.177613i
$685$	−13.5246	−	15.0206i	−0.516748	−	0.573906i
$686$	3.50464	−	2.54627i	0.133808	−	0.0972170i
$687$	−47.7958	+	27.5949i	−1.82352	+	1.05281i
$688$	2.42437	−	4.19914i	0.0924284	−	0.160091i
$689$	−1.10674	+	0.500994i	−0.0421635	+	0.0190863i
$690$	−10.7309	−	7.79643i	−0.408517	−	0.296805i
$691$	29.1727	+	3.06618i	1.10978	+	0.116643i	0.641637	−	0.767008i	$-0.278255\pi$
$691$	29.1727	+	3.06618i	1.10978	+	0.116643i	0.468146	+	0.883651i	$0.344922\pi$
$692$	0.0481221	−	0.0534450i	0.00182933	−	0.00203167i
$693$	6.78580	+	3.02123i	0.257771	+	0.114767i
$694$	−5.59412	+	26.3183i	−0.212350	+	0.999027i
$695$	4.91629	+	23.1293i	0.186485	+	0.877345i
$696$	−3.50533	−	7.87311i	−0.132869	−	0.298429i
$697$	−48.1666	−	15.6503i	−1.82444	−	0.592797i
$698$	−3.90811	+	12.0279i	−0.147924	+	0.455263i
$699$	−56.5990	+	25.1995i	−2.14077	+	0.953132i
$700$	2.80334	+	13.1887i	0.105956	+	0.498485i
$701$	20.4697	+	4.35097i	0.773130	+	0.164334i	0.577552	−	0.816354i	$-0.304008\pi$
$701$	20.4697	+	4.35097i	0.773130	+	0.164334i	0.195578	+	0.980688i	$0.437342\pi$
$702$	8.49458	+	0.839633i	0.320607	+	0.0316899i
$703$	−3.02275	+	3.35710i	−0.114005	+	0.126616i
$704$	0.982401	+	0.103255i	0.0370256	+	0.00389155i
$705$	19.6607	+	14.2843i	0.740465	+	0.537980i
$706$	−1.42654	−	13.5726i	−0.0536886	−	0.510813i
$707$	−59.2760	−	34.2230i	−2.22930	−	1.28709i
$708$	11.7632	−	6.79151i	0.442089	−	0.255240i
$709$	−12.1566	−	16.7322i	−0.456551	−	0.628389i	0.517238	−	0.855842i	$-0.326960\pi$
$709$	−12.1566	−	16.7322i	−0.456551	−	0.628389i	−0.973789	+	0.227453i	$0.926960\pi$
$710$	−7.14436	+	6.43281i	−0.268123	+	0.241419i
$711$	−1.99929	−	6.15319i	−0.0749793	−	0.230763i
$712$	3.35309			0.125662
$713$	−11.0689	+	2.83006i	−0.414532	+	0.105986i
$714$	40.6076			1.51970
$715$	−8.34702	+	6.14384i	−0.312161	+	0.229767i
$716$	−0.594016	−	0.659722i	−0.0221994	−	0.0246550i
$717$	9.30015	+	12.8006i	0.347320	+	0.478045i
$718$	−7.09130	−	12.2825i	−0.264645	−	0.458378i
$719$	19.0688	−	33.0281i	0.711145	−	1.23174i	−0.253283	−	0.967392i	$-0.581510\pi$
$719$	19.0688	−	33.0281i	0.711145	−	1.23174i	0.964428	−	0.264347i	$-0.0851564\pi$
$720$	5.59774	−	0.588346i	0.208615	−	0.0219264i
$721$	7.23744	−	9.96148i	0.269536	−	0.370985i
$722$	41.1726	+	4.32742i	1.53229	+	0.161050i
$723$	42.3630	+	38.1439i	1.57550	+	1.41859i
$724$	−5.81274	−	2.58800i	−0.216029	−	0.0961822i
$725$	−13.1618	−	2.79762i	−0.488816	−	0.103901i
$726$	4.62955	+	21.7803i	0.171819	+	0.808343i
$727$	23.7543	−	10.5761i	0.880998	−	0.392245i	0.0841696	−	0.996451i	$-0.473176\pi$
$727$	23.7543	−	10.5761i	0.880998	−	0.392245i	0.796828	+	0.604206i	$0.206510\pi$
$728$	14.0171	−	0.0868561i	0.519507	−	0.00321910i
$729$	−1.73625	+	5.34363i	−0.0643056	+	0.197912i
$730$	−19.5593	−	43.9310i	−0.723923	−	1.62596i
$731$	−22.3018	+	4.74039i	−0.824861	+	0.175330i
$732$	9.78016	+	2.07884i	0.361485	+	0.0768361i
$733$	6.17845	−	13.8770i	0.228206	−	0.512560i	−0.762758	−	0.646684i	$-0.776155\pi$
$733$	6.17845	−	13.8770i	0.228206	−	0.512560i	0.990965	+	0.134124i	$0.0428220\pi$
$734$	15.3530	+	13.8239i	0.566690	+	0.510250i
$735$	−52.1637	−	5.48262i	−1.92409	−	0.202230i
$736$	1.20612	−	1.66009i	0.0444583	−	0.0611916i
$737$	−0.793575	−	7.55036i	−0.0292317	−	0.278121i
$738$	10.4162	−	18.0413i	0.383424	−	0.664110i
$739$	−18.7136	+	10.8043i	−0.688391	+	0.397443i	−0.803009	−	0.595967i	$-0.796769\pi$
$739$	−18.7136	+	10.8043i	−0.688391	+	0.397443i	0.114618	+	0.993410i	$0.463436\pi$
$740$	1.36845	−	0.994234i	0.0503051	−	0.0365488i
$741$	54.0966	+	30.7873i	1.98729	+	1.13100i
$742$	0.404789	+	1.24581i	0.0148603	+	0.0457352i
$743$		−	23.5247i		−	0.863036i	−0.902104	−	0.431518i	$-0.857978\pi$
$743$		−	23.5247i		−	0.863036i	0.902104	−	0.431518i	$-0.142022\pi$
$744$	6.85462	−	10.2944i	0.251303	−	0.377411i
$745$	−47.8587			−1.75341
$746$	−15.1849	+	4.93386i	−0.555957	+	0.180641i
$747$	−15.5672	+	14.0168i	−0.569574	+	0.512846i
$748$	−2.73023	−	3.75783i	−0.0998270	−	0.137400i
$749$	−7.45474	+	4.30400i	−0.272390	+	0.157265i
$750$	−4.95084	+	8.57511i	−0.180779	+	0.313119i
$751$	5.02972	+	47.8545i	0.183537	+	1.74624i	0.567938	+	0.823071i	$0.307741\pi$
$751$	5.02972	+	47.8545i	0.183537	+	1.74624i	−0.384401	+	0.923166i	$0.625592\pi$
$752$	−2.20982	+	3.04155i	−0.0805837	+	0.110914i
$753$	5.30652	−	50.4882i	0.193380	−	1.83989i
$754$	−5.61045	+	12.8144i	−0.204320	+	0.466672i
$755$	−40.0839	−	17.8465i	−1.45880	−	0.649500i
$756$	1.91361	−	9.00284i	0.0695974	−	0.327430i
$757$	−31.1215	+	6.61507i	−1.13113	+	0.240429i	−0.735199	−	0.677851i	$-0.762911\pi$
$757$	−31.1215	+	6.61507i	−1.13113	+	0.240429i	−0.395931	+	0.918280i	$0.629578\pi$
$758$	−32.7063	+	14.5618i	−1.18795	+	0.528907i
$759$	−4.28216	−	1.39136i	−0.155432	−	0.0505031i
$760$	−21.5089	−	6.98866i	−0.780210	−	0.253505i
$761$	−9.13645	−	20.5208i	−0.331196	−	0.743878i	−1.00000		0.000439421i	$-0.999860\pi$
$761$	−9.13645	−	20.5208i	−0.331196	−	0.743878i	0.668804	−	0.743439i	$-0.266807\pi$
$762$	−0.110554	−	0.520117i	−0.00400496	−	0.0188418i
$763$	8.93696	+	1.89961i	0.323540	+	0.0687705i
$764$	18.8043	+	8.37221i	0.680315	+	0.302896i
$765$	−19.6688	−	17.7098i	−0.711126	−	0.640300i
$766$	1.50938	−	14.3608i	0.0545360	−	0.518875i
$767$	−21.0102	−	6.68299i	−0.758635	−	0.241309i
$768$	0.232190	+	2.20914i	0.00837843	+	0.0797154i
$769$	−26.2948	−	15.1813i	−0.948216	−	0.547453i	−0.0556900	−	0.998448i	$-0.517736\pi$
$769$	−26.2948	−	15.1813i	−0.948216	−	0.547453i	−0.892526	+	0.450995i	$0.851069\pi$
$770$	5.58771	+	9.67819i	0.201367	+	0.348778i
$771$	39.2164	−	28.4924i	1.41234	−	1.02613i
$772$	−9.73309	+	8.76371i	−0.350302	+	0.315413i
$773$	−25.5359	+	8.29711i	−0.918462	+	0.298426i	−0.729836	−	0.683623i	$-0.760403\pi$
$773$	−25.5359	+	8.29711i	−0.918462	+	0.298426i	−0.188626	+	0.982049i	$0.560403\pi$
$774$		−	9.37848i		−	0.337103i
$775$	−6.71261	−	18.1058i	−0.241124	−	0.650379i
$776$	11.0472			0.396573
$777$	1.55117	+	4.77401i	0.0556479	+	0.171267i
$778$	−3.14922	+	2.83557i	−0.112905	+	0.101660i
$779$	−67.7187	+	49.2005i	−2.42627	+	1.76279i
$780$	−17.4163	−	15.4874i	−0.623605	−	0.554539i
$781$	−1.63170	+	2.82618i	−0.0583867	+	0.101129i
$782$	−9.59605	+	1.00859i	−0.343154	+	0.0360670i
$783$	7.43099	+	5.39893i	0.265562	+	0.192942i
$784$	0.848173	−	8.06982i	0.0302919	−	0.288208i
$785$	−12.3609	−	11.1298i	−0.441178	−	0.397238i
$786$	14.2820	−	32.0779i	0.509422	−	1.14418i
$787$	5.17592	−	24.3508i	0.184502	−	0.868013i	−0.784340	−	0.620331i	$-0.786998\pi$
$787$	5.17592	−	24.3508i	0.184502	−	0.868013i	0.968842	−	0.247681i	$-0.0796686\pi$
$788$	2.74879	+	12.9320i	0.0979216	+	0.460685i
$789$	36.4640	−	16.2348i	1.29815	−	0.577975i
$790$	3.00794	−	9.25748i	0.107018	−	0.329366i
$791$	−1.72186	−	0.559467i	−0.0612223	−	0.0198923i
$792$	1.74545	−	0.777125i	0.0620219	−	0.0276139i
$793$	−8.20168	−	14.0046i	−0.291250	−	0.497318i
$794$	0.660924	+	0.140484i	0.0234553	+	0.00498558i
$795$	0.885870	−	1.98970i	0.0314186	−	0.0705673i
$796$	−3.71845	+	4.12976i	−0.131797	+	0.146375i
$797$	1.76611	−	16.8034i	0.0625587	−	0.595206i	−0.917671	−	0.397342i	$-0.869933\pi$
$797$	1.76611	−	16.8034i	0.0625587	−	0.595206i	0.980229	−	0.197864i	$-0.0634006\pi$
$798$	39.4491	−	54.2971i	1.39648	−	1.92210i
$799$	17.5816	−	1.84790i	0.621991	−	0.0653739i
$800$	3.00354	+	1.73409i	0.106191	+	0.0613095i
$801$	5.61667	−	3.24279i	0.198455	−	0.114578i
$802$	−11.1236	+	8.08176i	−0.392788	+	0.285377i
$803$	−10.9227	−	12.1309i	−0.385455	−	0.428091i
$804$	16.2365	−	5.27557i	0.572619	−	0.186055i
$805$	23.2146			0.818208
$806$	−19.8440	+	3.03550i	−0.698976	+	0.106921i
$807$	36.2798			1.27711
$808$	−16.7441	+	5.44048i	−0.589055	+	0.191395i
$809$	−22.0662	−	24.5070i	−0.775806	−	0.861620i	0.217627	−	0.976032i	$-0.430168\pi$
$809$	−22.0662	−	24.5070i	−0.775806	−	0.861620i	−0.993433	+	0.114412i	$0.963502\pi$
$810$	−26.0415	+	18.9202i	−0.915004	+	0.664789i
$811$	−16.7613	+	9.67716i	−0.588570	+	0.339811i	−0.764532	−	0.644586i	$-0.777030\pi$
$811$	−16.7613	+	9.67716i	−0.588570	+	0.339811i	0.175962	+	0.984397i	$0.443696\pi$
$812$	13.0627	+	7.54173i	0.458410	+	0.264663i
$813$	35.0587	−	3.68482i	1.22956	−	0.129232i
$814$	0.337496	−	0.464523i	0.0118292	−	0.0162815i
$815$	−4.90157	+	46.6354i	−0.171695	+	1.63357i
$816$	6.98916	−	7.76225i	0.244670	−	0.271733i
$817$	−15.3271	+	34.4252i	−0.536227	+	1.20438i
$818$	11.0273	+	2.34393i	0.385562	+	0.0819537i
$819$	23.3956	−	13.7014i	0.817508	−	0.478767i
$820$	28.6326	−	12.7480i	0.999892	−	0.445181i
$821$	−38.5998	−	12.5418i	−1.34714	−	0.437713i	−0.455413	−	0.890280i	$-0.650508\pi$
$821$	−38.5998	−	12.5418i	−1.34714	−	0.437713i	−0.891730	+	0.452567i	$0.850508\pi$
$822$	4.76770	−	14.6735i	0.166293	−	0.511796i
$823$	35.3554	−	15.7412i	1.23241	−	0.548705i	0.315930	−	0.948782i	$-0.397683\pi$
$823$	35.3554	−	15.7412i	1.23241	−	0.548705i	0.916481	+	0.400077i	$0.131017\pi$
$824$	−0.658493	−	3.09797i	−0.0229397	−	0.107923i
$825$	1.58221	−	7.44373i	0.0550856	−	0.259157i
$826$	−9.66929	+	21.7176i	−0.336437	+	0.755651i
$827$	−10.0254	−	9.02689i	−0.348616	−	0.313896i	0.476156	−	0.879361i	$-0.342030\pi$
$827$	−10.0254	−	9.02689i	−0.348616	−	0.313896i	−0.824772	+	0.565465i	$0.808697\pi$
$828$	0.414868	−	3.94721i	0.0144177	−	0.137175i
$829$	−25.2172	−	18.3214i	−0.875831	−	0.636328i	0.0563144	−	0.998413i	$-0.482065\pi$
$829$	−25.2172	−	18.3214i	−0.875831	−	0.636328i	−0.932145	+	0.362085i	$0.882065\pi$
$830$	−31.3432	+	3.29430i	−1.08794	+	0.114347i
$831$	−19.9588	+	34.5696i	−0.692362	+	1.19921i
$832$	2.39594	−	2.69434i	0.0830641	−	0.0934096i
$833$	−30.8683	+	22.4271i	−1.06952	+	0.777054i
$834$	−13.4136	+	12.0777i	−0.464475	+	0.418215i
$835$	−14.7476	−	45.3885i	−0.510363	−	1.57074i
$836$	−7.67699			−0.265514
$837$	−0.840991	+	13.1546i	−0.0290689	+	0.454688i
$838$			24.9457i			0.861735i
$839$	−3.62982	+	1.17940i	−0.125315	+	0.0407174i	−0.371003	−	0.928632i	$-0.620986\pi$
$839$	−3.62982	+	1.17940i	−0.125315	+	0.0407174i	0.245688	+	0.969349i	$0.420986\pi$
$840$	−18.6754	+	16.8154i	−0.644364	+	0.580188i
$841$	11.2836	−	8.19801i	0.389089	−	0.282690i
$842$	−13.8327	−	23.9590i	−0.476707	−	0.825681i
$843$	−1.89337	−	1.09314i	−0.0652111	−	0.0376497i
$844$	2.23530	+	21.2675i	0.0769422	+	0.732056i
$845$	0.468809	+	37.8273i	0.0161275	+	1.30130i
$846$	−0.760108	+	7.23194i	−0.0261330	+	0.248639i
$847$	−28.9613	−	26.0769i	−0.995122	−	0.896012i
$848$	0.307810	+	0.137046i	0.0105702	+	0.00470618i
$849$	46.8019	+	9.94804i	1.60624	+	0.341416i
$850$	−3.39068	−	15.9519i	−0.116299	−	0.547146i
$851$	−0.485133	−	1.08963i	−0.0166302	−	0.0373519i
$852$	−6.97926	−	2.26770i	−0.239106	−	0.0776901i
$853$	22.1623	+	7.20097i	0.758823	+	0.246556i	0.662773	−	0.748820i	$-0.269379\pi$
$853$	22.1623	+	7.20097i	0.758823	+	0.246556i	0.0960494	+	0.995377i	$0.469379\pi$
$854$	−15.9866	+	7.11770i	−0.547051	+	0.243563i
$855$	−42.7877	+	9.09481i	−1.46331	+	0.311036i
$856$	−0.460349	+	2.16577i	−0.0157344	+	0.0740246i
$857$	48.3234	+	21.5150i	1.65070	+	0.734937i	0.999708	−	0.0241510i	$-0.00768825\pi$
$857$	48.3234	+	21.5150i	1.65070	+	0.734937i	0.650988	+	0.759088i	$0.274355\pi$
$858$	−7.24725	−	3.17302i	−0.247417	−	0.108325i
$859$	−4.29197	+	40.8353i	−0.146440	+	1.39328i	0.636544	+	0.771241i	$0.280364\pi$
$859$	−4.29197	+	40.8353i	−0.146440	+	1.39328i	−0.782983	+	0.622042i	$0.786303\pi$
$860$	8.29361	−	11.4152i	0.282810	−	0.389254i
$861$	9.72236	+	92.5020i	0.331337	+	3.15246i
$862$	7.30103	−	12.6458i	0.248674	−	0.430716i
$863$	33.9391	−	19.5947i	1.15530	−	0.667012i	0.205126	−	0.978735i	$-0.434239\pi$
$863$	33.9391	−	19.5947i	1.15530	−	0.667012i	0.950173	+	0.311723i	$0.100906\pi$
$864$	−1.39155	−	1.91531i	−0.0473416	−	0.0651602i
$865$	0.155526	−	0.140036i	0.00528803	−	0.00476136i
$866$	−28.6324	+	9.30322i	−0.972968	+	0.316136i
$867$	−11.3534			−0.385581
$868$	0.884532	+	21.6278i	0.0300230	+	0.734094i
$869$		−	3.30419i		−	0.112087i
$870$	−7.74986	−	23.8516i	−0.262745	−	0.808645i
$871$	−24.0837	−	13.7065i	−0.816046	−	0.464426i
$872$	1.90130	−	1.38137i	0.0643860	−	0.0467792i
$873$	18.5049	−	10.6838i	0.626297	−	0.361593i
$874$	−7.97369	+	13.8108i	−0.269714	+	0.467159i
$875$	−1.81146	−	17.2349i	−0.0612385	−	0.582646i
$876$	21.5761	−	29.6969i	0.728989	−	1.00337i
$877$	31.5847	+	3.31968i	1.06654	+	0.112098i	0.621501	−	0.783414i	$-0.286523\pi$
$877$	31.5847	+	3.31968i	1.06654	+	0.112098i	0.445038	+	0.895511i	$0.353190\pi$
$878$	−13.9554	−	12.5655i	−0.470973	−	0.424066i
$879$	22.8229	−	51.2611i	0.769797	−	1.72899i
$880$	2.81173	+	0.597653i	0.0947835	+	0.0201469i
$881$	−1.70319	+	0.362024i	−0.0573819	+	0.0121969i	−0.236513	−	0.971628i	$-0.576005\pi$
$881$	−1.70319	+	0.362024i	−0.0573819	+	0.0121969i	0.179131	+	0.983825i	$0.442671\pi$
$882$	−6.38360	−	14.3378i	−0.214947	−	0.482779i
$883$	−0.0686050	+	0.211144i	−0.00230874	+	0.00710557i	−0.952204	−	0.305462i	$-0.901189\pi$
$883$	−0.0686050	+	0.211144i	−0.00230874	+	0.00710557i	0.949896	+	0.312568i	$0.101189\pi$
$884$	−16.9539	+	0.105054i	−0.570220	+	0.00353335i
$885$	36.1095	−	16.0770i	1.21381	−	0.540422i
$886$	−1.79403	−	8.44026i	−0.0602717	−	0.283556i
$887$	12.9914	+	2.76141i	0.436209	+	0.0927190i	0.420782	−	0.907162i	$-0.361756\pi$
$887$	12.9914	+	2.76141i	0.436209	+	0.0927190i	0.0154270	+	0.999881i	$0.495089\pi$
$888$	1.17954	+	0.525166i	0.0395829	+	0.0176234i
$889$	0.691600	+	0.622719i	0.0231955	+	0.0208853i
$890$	9.70409	+	1.01994i	0.325282	+	0.0341885i
$891$	−6.42253	+	8.83985i	−0.215163	+	0.296146i
$892$	10.7612	−	1.13105i	0.360313	−	0.0378704i
$893$	14.6091	−	25.3037i	0.488876	−	0.846757i
$894$	−18.2660	−	31.6377i	−0.610907	−	1.05812i
$895$	−1.51845	−	2.08997i	−0.0507563	−	0.0698600i
$896$	−2.60138	−	2.88913i	−0.0869062	−	0.0965191i
$897$	−13.2356	+	9.74208i	−0.441923	+	0.325279i
$898$	−28.4727			−0.950146
$899$	−20.0767	−	7.97246i	−0.669596	−	0.265896i
$900$	6.70820			0.223607
$901$	−0.489599	−	1.50683i	−0.0163109	−	0.0501998i
$902$	7.90647	−	7.11902i	0.263257	−	0.237037i
$903$	24.6122	+	33.8758i	0.819043	+	1.12732i
$904$	−0.403301	+	0.232846i	−0.0134136	+	0.00774433i
$905$	−16.0353	−	9.25797i	−0.533031	−	0.307745i
$906$	−3.50096	−	33.3094i	−0.116312	−	1.10663i
$907$	39.4132	+	28.6354i	1.30869	+	0.950822i	1.00000		0.000338965i	$-0.000107896\pi$
$907$	39.4132	+	28.6354i	1.30869	+	0.950822i	0.308695	+	0.951161i	$0.400108\pi$
$908$	−6.19969	−	0.651613i	−0.205744	−	0.0216246i
$909$	−22.7860	+	25.3065i	−0.755765	+	0.839362i
$910$	40.5928	+	4.01233i	1.34564	+	0.133008i
$911$	8.15297	+	1.73297i	0.270120	+	0.0574158i	0.340980	−	0.940070i	$-0.389241\pi$
$911$	8.15297	+	1.73297i	0.270120	+	0.0574158i	−0.0708603	+	0.997486i	$0.522574\pi$
$912$	−3.58925	−	16.8861i	−0.118852	−	0.559155i
$913$	−9.77324	+	4.35133i	−0.323447	+	0.144008i
$914$	10.2588	−	31.5734i	0.339332	−	1.04436i
$915$	27.6722	+	8.99123i	0.914814	+	0.297241i
$916$	−10.1056	−	22.6976i	−0.333899	−	0.749950i
$917$	12.7773	+	60.1125i	0.421944	+	1.98509i
$918$	−2.31455	+	10.8891i	−0.0763914	+	0.359393i
$919$	14.2529	+	6.34579i	0.470159	+	0.209328i	0.628119	−	0.778117i	$-0.283825\pi$
$919$	14.2529	+	6.34579i	0.470159	+	0.209328i	−0.157960	+	0.987446i	$0.550492\pi$
$920$	3.99557	−	4.43753i	0.131730	−	0.146301i
$921$	−58.7716	−	6.17714i	−1.93659	−	0.203544i
$922$	7.75584	+	5.63495i	0.255425	+	0.185577i
$923$	4.91217	+	10.8515i	0.161686	+	0.357180i
$924$	−4.26527	+	7.38767i	−0.140317	+	0.243037i
$925$	1.74586	−	1.00797i	0.0574034	−	0.0331418i
$926$	29.8493	−	21.6868i	0.980910	−	0.712673i
$927$	−4.09908	−	4.55249i	−0.134631	−	0.149523i
$928$	3.68989	−	1.19892i	0.121127	−	0.0393564i
$929$			1.74651i			0.0573011i	0.999589	+	0.0286506i	$0.00912101\pi$
$929$			1.74651i			0.0573011i	−0.999589	+	0.0286506i	$0.990879\pi$
$930$	22.9691	−	27.7077i	0.753187	−	0.908572i
$931$			63.0618i			2.06677i
$932$	−8.61891	−	26.5263i	−0.282322	−	0.868897i
$933$	−40.5805	−	45.0692i	−1.32855	−	1.47550i
$934$	−3.83113	−	5.27310i	−0.125358	−	0.172541i
$935$	−6.75842	−	11.7059i	−0.221024	−	0.382825i
$936$	1.40766	−	6.83034i	0.0460107	−	0.223257i
$937$	−3.37647	−	32.1249i	−0.110304	−	1.04948i	−0.899974	−	0.435944i	$-0.856415\pi$
$937$	−3.37647	−	32.1249i	−0.110304	−	1.04948i	0.789670	−	0.613532i	$-0.210252\pi$
$938$	−17.5627	+	24.1730i	−0.573442	+	0.789275i
$939$	−6.22721	+	59.2480i	−0.203217	+	1.93348i
$940$	−7.32055	+	8.13030i	−0.238770	+	0.265181i
$941$	19.4178	−	43.6130i	0.633001	−	1.42174i	−0.257283	−	0.966336i	$-0.582827\pi$
$941$	19.4178	−	43.6130i	0.633001	−	1.42174i	0.890284	−	0.455407i	$-0.150506\pi$
$942$	2.63978	−	12.4192i	0.0860086	−	0.404639i
$943$	−4.59501	−	21.6178i	−0.149634	−	0.703973i
$944$	2.48714	+	5.58621i	0.0809496	+	0.181816i
$945$	8.27662	−	25.4728i	0.269238	−	0.828631i
$946$	1.48009	−	4.55523i	0.0481217	−	0.148103i
$947$	−4.13280	−	9.28242i	−0.134298	−	0.301638i	0.833861	−	0.551975i	$-0.186125\pi$
$947$	−4.13280	−	9.28242i	−0.134298	−	0.301638i	−0.968159	+	0.250336i	$0.919459\pi$
$948$	7.26782	−	1.54482i	0.236048	−	0.0501735i
$949$	−59.2161	+	6.59509i	−1.92224	+	0.214086i
$950$	−24.6235	−	10.9631i	−0.798891	−	0.355689i
$951$	56.1002	+	50.5129i	1.81918	+	1.63799i
$952$	−1.91088	+	18.1808i	−0.0619320	+	0.589244i
$953$	−2.68389	−	1.94996i	−0.0869397	−	0.0631654i	0.543466	−	0.839431i	$-0.317112\pi$
$953$	−2.68389	−	1.94996i	−0.0869397	−	0.0631654i	−0.630406	+	0.776266i	$0.717112\pi$
$954$	0.648142	−	0.0681225i	0.0209844	−	0.00220555i
$955$	51.8743	+	29.9497i	1.67861	+	0.969148i
$956$	−6.16869	+	3.56150i	−0.199510	+	0.115187i
$957$	−5.00391	−	6.88729i	−0.161753	−	0.222635i
$958$	26.8783	+	29.8514i	0.868399	+	0.964455i
$959$	8.34437	+	25.6813i	0.269454	+	0.829293i
$960$			6.46404i			0.208626i
$961$	−5.74713	−	30.4626i	−0.185391	−	0.982665i
$962$	−0.659971	−	1.98916i	−0.0212783	−	0.0641330i
$963$	1.32341	+	4.07303i	0.0426462	+	0.131252i
$964$	−19.0712	+	17.1718i	−0.614243	+	0.553067i
$965$	−30.8340	+	22.4022i	−0.992582	+	0.721153i
$966$	8.86023	+	15.3464i	0.285073	+	0.493762i
$967$	14.6744	+	8.47230i	0.471898	+	0.272451i	0.717034	−	0.697038i	$-0.245499\pi$
$967$	14.6744	+	8.47230i	0.471898	+	0.272451i	−0.245136	+	0.969489i	$0.578833\pi$
$968$	−9.96931	+	1.04782i	−0.320426	+	0.0336781i
$969$	−47.7144	+	65.6732i	−1.53281	+	2.10973i
$970$	31.9715	+	3.36034i	1.02654	+	0.107894i
$971$	−1.02905	+	1.14287i	−0.0330236	+	0.0366765i	−0.759430	−	0.650589i	$-0.774522\pi$
$971$	−1.02905	+	1.14287i	−0.0330236	+	0.0366765i	0.726407	+	0.687265i	$0.241189\pi$
$972$	−15.9583	−	7.10510i	−0.511863	−	0.227896i
$973$	6.56804	−	30.9002i	0.210562	−	0.990615i
$974$	3.10695	−	0.660403i	0.0995531	−	0.0211607i
$975$	−18.7139	−	20.5267i	−0.599324	−	0.657379i
$976$	−1.39096	+	4.28094i	−0.0445236	+	0.137030i
$977$	19.0242	+	6.18134i	0.608638	+	0.197759i	0.597089	−	0.802175i	$-0.296324\pi$
$977$	19.0242	+	6.18134i	0.608638	+	0.197759i	0.0115490	+	0.999933i	$0.496324\pi$
$978$	−32.6998	+	14.5589i	−1.04562	+	0.465541i
$979$	3.23985	−	0.688651i	0.103546	−	0.0220094i
$980$	4.90935	−	23.0967i	0.156823	−	0.737796i
$981$	1.84888	−	4.15265i	0.0590301	−	0.132584i
$982$	16.7154	+	15.0507i	0.533411	+	0.480286i
$983$	30.7335	+	3.23022i	0.980246	+	0.103028i	0.581076	−	0.813849i	$-0.302632\pi$
$983$	30.7335	+	3.23022i	0.980246	+	0.103028i	0.399170	+	0.916877i	$0.369298\pi$
$984$	19.3553	+	14.0625i	0.617026	+	0.448296i
$985$	4.02154	+	38.2624i	0.128137	+	1.21914i
$986$	−15.7995	−	9.12185i	−0.503159	−	0.290499i
$987$	−16.2334	−	28.1171i	−0.516715	−	0.894977i
$988$	−16.3297	+	22.7713i	−0.519517	+	0.724452i
$989$	−6.65754	−	7.39394i	−0.211697	−	0.235114i
$990$	5.28785	−	1.71813i	0.168059	−	0.0546057i
$991$	0.0637187			0.00202409			0.00101205	−	0.999999i	$-0.499678\pi$
$991$	0.0637187			0.00202409			0.00101205	+	0.999999i	$0.499678\pi$
$992$	4.28644	+	3.55337i	0.136095	+	0.112820i
$993$			36.5795i			1.16081i
$994$	12.2150	−	3.96890i	0.387437	−	0.125886i
$995$	−12.0177	+	10.8208i	−0.380986	+	0.343041i
$996$	−14.1404	−	19.4626i	−0.448055	−	0.616695i
$997$	−24.9409	−	43.1990i	−0.789887	−	1.36813i	−0.926035	−	0.377437i	$-0.876806\pi$
$997$	−24.9409	−	43.1990i	−0.789887	−	1.36813i	0.136148	−	0.990689i	$-0.456528\pi$
$998$	6.78806	−	11.7573i	0.214872	−	0.372170i
$999$	−1.36858	+	0.143844i	−0.0433000	+	0.00455101i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	806.2.bw.a.51.4	✓	288
13.12	even	2	inner	806.2.bw.a.51.22	yes	288
31.14	even	15	inner	806.2.bw.a.727.22	yes	288
403.324	even	30	inner	806.2.bw.a.727.4	yes	288

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
806.2.bw.a.51.4	✓	288	1.1	even	1	trivial
806.2.bw.a.51.22	yes	288	13.12	even	2	inner
806.2.bw.a.727.4	yes	288	403.324	even	30	inner
806.2.bw.a.727.22	yes	288	31.14	even	15	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:	\( N \)	\(=\)	\( 806 = 2 \cdot 13 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	806.bw (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.951057 + 0.309017i) q^{2} +(-1.48634 - 1.65075i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.52015 - 1.45501i) q^{5} +(1.92371 + 1.11065i) q^{6} +(-3.86641 + 0.406376i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.202180 + 1.92361i) q^{9} +O(q^{10})\)	\(q+(-0.951057 + 0.309017i) q^{2} +(-1.48634 - 1.65075i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.52015 - 1.45501i) q^{5} +(1.92371 + 1.11065i) q^{6} +(-3.86641 + 0.406376i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.202180 + 1.92361i) q^{9} +(-1.94718 + 2.16256i) q^{10} +(-0.401780 + 0.902412i) q^{11} +(-2.17277 - 0.461836i) q^{12} +(1.82209 + 3.11127i) q^{13} +(3.55160 - 1.58127i) q^{14} +(-6.14767 - 1.99750i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-4.29572 + 1.91258i) q^{17} +(-0.402144 - 1.89194i) q^{18} +(-1.61583 + 7.60188i) q^{19} +(1.18361 - 2.65843i) q^{20} +(6.41765 + 5.77847i) q^{21} +(0.103255 - 0.982401i) q^{22} +(-1.66009 - 1.20612i) q^{23} +(2.20914 - 0.232190i) q^{24} +(1.73409 - 3.00354i) q^{25} +(-2.69434 - 2.39594i) q^{26} +(-1.91531 + 1.39155i) q^{27} +(-2.88913 + 2.60138i) q^{28} +(-1.19892 - 3.68989i) q^{29} +6.46404 q^{30} +(3.55337 - 4.28644i) q^{31} +1.00000i q^{32} +(2.08684 - 0.678056i) q^{33} +(3.49445 - 3.14642i) q^{34} +(-9.15264 + 6.64979i) q^{35} +(0.967103 + 1.67507i) q^{36} +(0.503391 + 0.290633i) q^{37} +(-0.812365 - 7.72913i) q^{38} +(2.42768 - 7.63224i) q^{39} +(-0.304179 + 2.89407i) q^{40} +(8.00402 + 7.20685i) q^{41} +(-7.88919 - 3.51249i) q^{42} +(4.74279 + 1.00811i) q^{43} +(0.205378 + 0.966227i) q^{44} +(2.28935 + 5.14196i) q^{45} +(1.95155 + 0.634096i) q^{46} +(-3.57556 - 1.16177i) q^{47} +(-2.02927 + 0.903487i) q^{48} +(7.93696 - 1.68705i) q^{49} +(-0.721077 + 3.39240i) q^{50} +(9.54211 + 4.24842i) q^{51} +(3.30286 + 1.44607i) q^{52} +(-0.0352198 + 0.335094i) q^{53} +(1.39155 - 1.91531i) q^{54} +(0.300472 + 2.85880i) q^{55} +(1.94385 - 3.36685i) q^{56} +(14.9505 - 8.63168i) q^{57} +(2.28048 + 3.13881i) q^{58} +(-4.54424 + 4.09165i) q^{59} +(-6.14767 + 1.99750i) q^{60} -4.50125 q^{61} +(-2.05487 + 5.17470i) q^{62} -7.51963i q^{63} +(-0.309017 - 0.951057i) q^{64} +(9.11885 + 5.18970i) q^{65} +(-1.77517 + 1.28974i) q^{66} +(-6.65594 + 3.84281i) q^{67} +(-2.35112 + 4.07227i) q^{68} +(0.476449 + 4.53311i) q^{69} +(6.64979 - 9.15264i) q^{70} +(3.28556 + 0.345326i) q^{71} +(-1.43740 - 1.29424i) q^{72} +(-6.72138 + 15.0965i) q^{73} +(-0.568564 - 0.120852i) q^{74} +(-7.53556 + 1.60173i) q^{75} +(3.16104 + 7.09981i) q^{76} +(1.18673 - 3.65237i) q^{77} +(0.0496267 + 8.00888i) q^{78} +(-3.05577 + 1.36052i) q^{79} +(-0.605026 - 2.84642i) q^{80} +(10.8197 + 2.29981i) q^{81} +(-9.83931 - 4.38074i) q^{82} +(8.04836 + 7.24677i) q^{83} +(8.58849 + 0.902686i) q^{84} +(-8.04302 + 11.0703i) q^{85} +(-4.82219 + 0.506832i) q^{86} +(-4.30910 + 7.46357i) q^{87} +(-0.493906 - 0.855471i) q^{88} +(-1.97090 - 2.71271i) q^{89} +(-3.76625 - 4.18284i) q^{90} +(-8.30929 - 11.2890i) q^{91} -2.05198 q^{92} +(-12.3574 + 0.505392i) q^{93} +3.75957 q^{94} +(6.98866 + 21.5089i) q^{95} +(1.65075 - 1.48634i) q^{96} +(-6.49341 - 8.93741i) q^{97} +(-7.02717 + 4.05714i) q^{98} +(-1.65466 - 0.955317i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 288 q + 72 q^{4} + 32 q^{9}+O(q^{10}) \) 288 * q + 72 * q^4 + 32 * q^9	\( 288 q + 72 q^{4} + 32 q^{9} - 10 q^{13} - 12 q^{14} - 72 q^{16} + 10 q^{17} - 6 q^{22} - 48 q^{23} + 104 q^{25} + 12 q^{26} - 18 q^{27} + 36 q^{29} + 64 q^{30} - 28 q^{35} + 128 q^{36} - 70 q^{38} + 12 q^{39} - 6 q^{42} - 56 q^{43} - 58 q^{49} - 26 q^{51} + 10 q^{52} - 6 q^{53} + 72 q^{55} + 2 q^{56} - 140 q^{61} + 16 q^{62} + 72 q^{64} - 4 q^{65} + 40 q^{68} + 96 q^{69} - 28 q^{74} - 166 q^{75} - 68 q^{77} + 60 q^{78} - 80 q^{79} - 76 q^{81} + 24 q^{87} - 14 q^{88} + 114 q^{90} - 12 q^{91} + 8 q^{92} - 24 q^{94} + 100 q^{95}+O(q^{100}) \) 288 * q + 72 * q^4 + 32 * q^9 - 10 * q^13 - 12 * q^14 - 72 * q^16 + 10 * q^17 - 6 * q^22 - 48 * q^23 + 104 * q^25 + 12 * q^26 - 18 * q^27 + 36 * q^29 + 64 * q^30 - 28 * q^35 + 128 * q^36 - 70 * q^38 + 12 * q^39 - 6 * q^42 - 56 * q^43 - 58 * q^49 - 26 * q^51 + 10 * q^52 - 6 * q^53 + 72 * q^55 + 2 * q^56 - 140 * q^61 + 16 * q^62 + 72 * q^64 - 4 * q^65 + 40 * q^68 + 96 * q^69 - 28 * q^74 - 166 * q^75 - 68 * q^77 + 60 * q^78 - 80 * q^79 - 76 * q^81 + 24 * q^87 - 14 * q^88 + 114 * q^90 - 12 * q^91 + 8 * q^92 - 24 * q^94 + 100 * q^95

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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