LMFDB - Embedded newform 357.2.bl.a.10.18

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [357,2,Mod(10,357)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("357.10"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(357, base_ring=CyclotomicField(48)) chi = DirichletCharacter(H, H._module([0, 8, 9])) N = Newforms(chi, 2, names="a")

Level:	$N$	$=$	$357 = 3 \cdot 7 \cdot 17$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	357.bl (of order $48$ , degree $16$ , minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$2.85065935216$
Analytic rank:	$0$
Dimension:	$384$
Relative dimension:	$24$ over $\Q(\zeta_{48})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label			10.18
Character	$\chi$	$=$	357.10
Dual form			357.2.bl.a.250.18

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.25234 - 0.164874i) q^{2} +(0.442289 + 0.896873i) q^{3} +(-0.390673 + 0.104680i) q^{4} +(-1.76440 + 1.54734i) q^{5} +(0.701768 + 1.05027i) q^{6} +(-2.47727 + 0.929057i) q^{7} +(-2.80599 + 1.16228i) q^{8} +(-0.608761 + 0.793353i) q^{9} +(-1.95452 + 2.22870i) q^{10} +(3.95623 - 0.259305i) q^{11} +(-0.266675 - 0.304085i) q^{12} +(2.79324 + 2.79324i) q^{13} +(-2.94921 + 1.57193i) q^{14} +(-2.16814 - 0.898072i) q^{15} +(-2.62190 + 1.51375i) q^{16} +(-2.70740 + 3.10966i) q^{17} +(-0.631575 + 1.09392i) q^{18} +(0.0146007 + 0.110903i) q^{19} +(0.527327 - 0.789200i) q^{20} +(-1.92891 - 1.81088i) q^{21} +(4.91180 - 0.977018i) q^{22} +(0.909929 + 0.448727i) q^{23} +(-2.28348 - 2.00255i) q^{24} +(0.0662233 - 0.503016i) q^{25} +(3.95862 + 3.03756i) q^{26} +(-0.980785 - 0.195090i) q^{27} +(0.870546 - 0.622278i) q^{28} +(-1.75511 - 8.82356i) q^{29} +(-2.86332 - 0.767225i) q^{30} +(7.75709 - 3.82538i) q^{31} +(1.78518 - 1.36982i) q^{32} +(1.98236 + 3.43354i) q^{33} +(-2.87789 + 4.34074i) q^{34} +(2.93333 - 5.47239i) q^{35} +(0.154778 - 0.373667i) q^{36} +(0.320280 - 4.88653i) q^{37} +(0.0365702 + 0.136482i) q^{38} +(-1.26976 + 3.74059i) q^{39} +(3.15245 - 6.39254i) q^{40} +(-1.46784 + 7.37932i) q^{41} +(-2.71423 - 1.94982i) q^{42} +(2.03570 + 4.91462i) q^{43} +(-1.51845 + 0.515443i) q^{44} +(-0.153486 - 2.34175i) q^{45} +(1.21353 + 0.411937i) q^{46} +(-2.03215 + 7.58411i) q^{47} +(-2.51728 - 1.68199i) q^{48} +(5.27371 - 4.60304i) q^{49} -0.640867i q^{50} +(-3.98642 - 1.05283i) q^{51} +(-1.38364 - 0.798843i) q^{52} +(3.07629 + 4.00910i) q^{53} +(-1.26044 - 0.0826139i) q^{54} +(-6.57913 + 6.57913i) q^{55} +(5.87137 - 5.48620i) q^{56} +(-0.0930084 + 0.0621463i) q^{57} +(-3.65278 - 10.7607i) q^{58} +(4.87186 + 0.641393i) q^{59} +(0.941042 + 0.123891i) q^{60} +(-0.289572 - 0.853053i) q^{61} +(9.08384 - 6.06963i) q^{62} +(0.770995 - 2.53092i) q^{63} +(6.29136 - 6.29136i) q^{64} +(-9.25046 - 0.606307i) q^{65} +(3.04869 + 3.97314i) q^{66} +(4.06742 + 2.34833i) q^{67} +(0.732186 - 1.49827i) q^{68} +1.01456i q^{69} +(2.77127 - 7.33694i) q^{70} +(-10.7811 - 7.20372i) q^{71} +(0.786081 - 2.93369i) q^{72} +(15.9177 + 5.40333i) q^{73} +(-0.404561 - 6.17241i) q^{74} +(0.480431 - 0.163084i) q^{75} +(-0.0173135 - 0.0417985i) q^{76} +(-9.55972 + 4.31793i) q^{77} +(-0.973448 + 4.89386i) q^{78} +(-4.49862 + 9.12229i) q^{79} +(2.28379 - 6.72783i) q^{80} +(-0.258819 - 0.965926i) q^{81} +(-0.621578 + 9.48344i) q^{82} +(-4.35456 + 10.5128i) q^{83} +(0.943137 + 0.505543i) q^{84} +(-0.0347577 - 9.67594i) q^{85} +(3.35969 + 5.81916i) q^{86} +(7.13734 - 5.47667i) q^{87} +(-10.7998 + 5.32585i) q^{88} +(-9.77923 - 2.62034i) q^{89} +(-0.578312 - 2.90737i) q^{90} +(-9.51467 - 4.32452i) q^{91} +(-0.402457 - 0.0800537i) q^{92} +(6.86175 + 5.26521i) q^{93} +(-1.29453 + 9.83295i) q^{94} +(-0.197366 - 0.173086i) q^{95} +(2.01812 + 0.995226i) q^{96} +(8.74519 - 1.73953i) q^{97} +(5.84557 - 6.63409i) q^{98} +(-2.20268 + 3.29654i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$384 q - 16 q^{11} + 32 q^{14} - 64 q^{22} - 16 q^{25} - 48 q^{28} - 64 q^{30} - 64 q^{35} - 32 q^{37} - 48 q^{42} - 64 q^{44} + 32 q^{46} - 64 q^{49} + 80 q^{56} - 32 q^{58} - 288 q^{61} - 528 q^{68} + 176 q^{70}+ \cdots + 32 q^{99}+O(q^{100})$ 384 * q - 16 * q^11 + 32 * q^14 - 64 * q^22 - 16 * q^25 - 48 * q^28 - 64 * q^30 - 64 * q^35 - 32 * q^37 - 48 * q^42 - 64 * q^44 + 32 * q^46 - 64 * q^49 + 80 * q^56 - 32 * q^58 - 288 * q^61 - 528 * q^68 + 176 * q^70 + 64 * q^71 - 48 * q^73 - 128 * q^74 + 96 * q^77 + 128 * q^78 - 480 * q^80 - 240 * q^82 + 32 * q^85 - 144 * q^87 - 96 * q^88 - 64 * q^91 + 320 * q^92 - 192 * q^94 - 64 * q^95 + 32 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/357\mathbb{Z}\right)^\times$ .

$n$	$52$	$190$	$239$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{16}\right)$	$1$

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

)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$\alpha_n$			$\theta_n$
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$\alpha_p$			$\theta_p$

$2$	1.25234	−	0.164874i	0.885540	−	0.116584i	0.325983	−	0.945376i	$-0.394305\pi$
$2$	1.25234	−	0.164874i	0.885540	−	0.116584i	0.559557	+	0.828792i	$0.310971\pi$
$3$	0.442289	+	0.896873i	0.255355	+	0.517810i
$3$	0.442289	+	0.896873i	0.255355	+	0.517810i
$4$	−0.390673	+	0.104680i	−0.195336	+	0.0523402i
$5$	−1.76440	+	1.54734i	−0.789063	+	0.691990i	−0.955802	−	0.294011i	$-0.905010\pi$
$5$	−1.76440	+	1.54734i	−0.789063	+	0.691990i	0.166739	+	0.986001i	$0.446676\pi$
$6$	0.701768	+	1.05027i	0.286496	+	0.428771i
$7$	−2.47727	+	0.929057i	−0.936319	+	0.351150i
$7$	−2.47727	+	0.929057i	−0.936319	+	0.351150i
$8$	−2.80599	+	1.16228i	−0.992068	+	0.410928i
$9$	−0.608761	+	0.793353i	−0.202920	+	0.264451i
$10$	−1.95452	+	2.22870i	−0.618073	+	0.704777i
$11$	3.95623	−	0.259305i	1.19285	−	0.0781833i	0.543989	−	0.839092i	$-0.316913\pi$
$11$	3.95623	−	0.259305i	1.19285	−	0.0781833i	0.648858	+	0.760909i	$0.275247\pi$
$12$	−0.266675	−	0.304085i	−0.0769824	−	0.0877817i
$13$	2.79324	+	2.79324i	0.774704	+	0.774704i	0.978925	−	0.204221i	$-0.0654660\pi$
$13$	2.79324	+	2.79324i	0.774704	+	0.774704i	−0.204221	+	0.978925i	$0.565466\pi$
$14$	−2.94921	+	1.57193i	−0.788210	+	0.420117i
$15$	−2.16814	−	0.898072i	−0.559811	−	0.231881i
$16$	−2.62190	+	1.51375i	−0.655475	+	0.378439i
$17$	−2.70740	+	3.10966i	−0.656641	+	0.754203i
$17$	−2.70740	+	3.10966i	−0.656641	+	0.754203i
$18$	−0.631575	+	1.09392i	−0.148864	+	0.257839i
$19$	0.0146007	+	0.110903i	0.00334963	+	0.0254430i	0.993038	−	0.117794i	$-0.0375822\pi$
$19$	0.0146007	+	0.110903i	0.00334963	+	0.0254430i	−0.989688	+	0.143237i	$0.954249\pi$
$20$	0.527327	−	0.789200i	0.117914	−	0.176470i
$21$	−1.92891	−	1.81088i	−0.420923	−	0.395167i
$22$	4.91180	−	0.977018i	1.04720	−	0.208301i
$23$	0.909929	+	0.448727i	0.189733	+	0.0935661i	0.534674	−	0.845058i	$-0.320434\pi$
$23$	0.909929	+	0.448727i	0.189733	+	0.0935661i	−0.344941	+	0.938624i	$0.612101\pi$
$24$	−2.28348	−	2.00255i	−0.466113	−	0.408770i
$25$	0.0662233	−	0.503016i	0.0132447	−	0.100603i
$26$	3.95862	+	3.03756i	0.776349	+	0.595714i
$27$	−0.980785	−	0.195090i	−0.188752	−	0.0375451i
$28$	0.870546	−	0.622278i	0.164518	−	0.117600i
$29$	−1.75511	−	8.82356i	−0.325917	−	1.63849i	−0.702193	−	0.711986i	$-0.747796\pi$
$29$	−1.75511	−	8.82356i	−0.325917	−	1.63849i	0.376277	−	0.926507i	$-0.377204\pi$
$30$	−2.86332	−	0.767225i	−0.522768	−	0.140075i
$31$	7.75709	−	3.82538i	1.39322	−	0.687058i	0.418027	−	0.908435i	$-0.362722\pi$
$31$	7.75709	−	3.82538i	1.39322	−	0.687058i	0.975188	+	0.221377i	$0.0710551\pi$
$32$	1.78518	−	1.36982i	0.315579	−	0.242152i
$33$	1.98236	+	3.43354i	0.345084	+	0.597703i
$34$	−2.87789	+	4.34074i	−0.493554	+	0.744431i
$35$	2.93333	−	5.47239i	0.495823	−	0.925003i
$36$	0.154778	−	0.373667i	0.0257963	−	0.0622778i
$37$	0.320280	−	4.88653i	0.0526537	−	0.803340i	−0.887119	−	0.461540i	$-0.847297\pi$
$37$	0.320280	−	4.88653i	0.0526537	−	0.803340i	0.939773	−	0.341800i	$-0.111036\pi$
$38$	0.0365702	+	0.136482i	0.00593246	+	0.0221403i
$39$	−1.26976	+	3.74059i	−0.203324	+	0.598974i
$40$	3.15245	−	6.39254i	0.498447	−	1.01075i
$41$	−1.46784	+	7.37932i	−0.229238	+	1.15246i	0.679044	+	0.734097i	$0.262394\pi$
$41$	−1.46784	+	7.37932i	−0.229238	+	1.15246i	−0.908282	+	0.418358i	$0.862606\pi$
$42$	−2.71423	−	1.94982i	−0.418814	−	0.300863i
$43$	2.03570	+	4.91462i	0.310442	+	0.749473i	0.999689	+	0.0249466i	$0.00794156\pi$
$43$	2.03570	+	4.91462i	0.310442	+	0.749473i	−0.689247	+	0.724527i	$0.742058\pi$
$44$	−1.51845	+	0.515443i	−0.228914	+	0.0777059i
$45$	−0.153486	−	2.34175i	−0.0228804	−	0.349088i
$46$	1.21353	+	0.411937i	0.178925	+	0.0607367i
$47$	−2.03215	+	7.58411i	−0.296420	+	1.10626i	0.643663	+	0.765309i	$0.277414\pi$
$47$	−2.03215	+	7.58411i	−0.296420	+	1.10626i	−0.940083	+	0.340946i	$0.889253\pi$
$48$	−2.51728	−	1.68199i	−0.363338	−	0.242775i
$49$	5.27371	−	4.60304i	0.753387	−	0.657578i
$50$		−	0.640867i		−	0.0906322i
$51$	−3.98642	−	1.05283i	−0.558211	−	0.147425i
$52$	−1.38364	−	0.798843i	−0.191876	−	0.110780i
$53$	3.07629	+	4.00910i	0.422561	+	0.550693i	0.955320	−	0.295575i	$-0.0955112\pi$
$53$	3.07629	+	4.00910i	0.422561	+	0.550693i	−0.532758	+	0.846267i	$0.678845\pi$
$54$	−1.26044	−	0.0826139i	−0.171525	−	0.0112423i
$55$	−6.57913	+	6.57913i	−0.887130	+	0.887130i
$56$	5.87137	−	5.48620i	0.784595	−	0.733125i
$57$	−0.0930084	+	0.0621463i	−0.0123193	+	0.00823147i
$58$	−3.65278	−	10.7607i	−0.479634	−	1.41296i
$59$	4.87186	+	0.641393i	0.634263	+	0.0835023i	0.440800	−	0.897605i	$-0.354695\pi$
$59$	4.87186	+	0.641393i	0.634263	+	0.0835023i	0.193463	+	0.981108i	$0.438028\pi$
$60$	0.941042	+	0.123891i	0.121488	+	0.0159942i
$61$	−0.289572	−	0.853053i	−0.0370760	−	0.109222i	0.926816	−	0.375516i	$-0.122534\pi$
$61$	−0.289572	−	0.853053i	−0.0370760	−	0.109222i	−0.963892	+	0.266293i	$0.914201\pi$
$62$	9.08384	−	6.06963i	1.15365	−	0.770843i
$63$	0.770995	−	2.53092i	0.0971362	−	0.318866i
$64$	6.29136	−	6.29136i	0.786420	−	0.786420i
$65$	−9.25046	−	0.606307i	−1.14738	−	0.0752031i
$66$	3.04869	+	3.97314i	0.375268	+	0.489059i
$67$	4.06742	+	2.34833i	0.496915	+	0.286894i	0.727438	−	0.686173i	$-0.240711\pi$
$67$	4.06742	+	2.34833i	0.496915	+	0.286894i	−0.230524	+	0.973067i	$0.574044\pi$
$68$	0.732186	−	1.49827i	0.0887906	−	0.181692i
$69$			1.01456i			0.122138i
$70$	2.77127	−	7.33694i	0.331231	−	0.876932i
$71$	−10.7811	−	7.20372i	−1.27949	−	0.854925i	−0.284870	−	0.958566i	$-0.591951\pi$
$71$	−10.7811	−	7.20372i	−1.27949	−	0.854925i	−0.994615	+	0.103641i	$0.966951\pi$
$72$	0.786081	−	2.93369i	0.0926405	−	0.345739i
$73$	15.9177	+	5.40333i	1.86303	+	0.632412i	0.989280	+	0.146029i	$0.0466493\pi$
$73$	15.9177	+	5.40333i	1.86303	+	0.632412i	0.873746	+	0.486383i	$0.161684\pi$
$74$	−0.404561	−	6.17241i	−0.0470293	−	0.717528i
$75$	0.480431	−	0.163084i	0.0554754	−	0.0188314i
$76$	−0.0173135	−	0.0417985i	−0.00198599	−	0.00479461i
$77$	−9.55972	+	4.31793i	−1.08943	+	0.492073i
$78$	−0.973448	+	4.89386i	−0.110221	+	0.554120i
$79$	−4.49862	+	9.12229i	−0.506134	+	1.02634i	0.482486	+	0.875904i	$0.339734\pi$
$79$	−4.49862	+	9.12229i	−0.506134	+	1.02634i	−0.988620	+	0.150434i	$0.951933\pi$
$80$	2.28379	−	6.72783i	0.255336	−	0.752194i
$81$	−0.258819	−	0.965926i	−0.0287577	−	0.107325i
$82$	−0.621578	+	9.48344i	−0.0686418	+	1.04727i
$83$	−4.35456	+	10.5128i	−0.477976	+	1.15394i	0.482581	+	0.875851i	$0.339699\pi$
$83$	−4.35456	+	10.5128i	−0.477976	+	1.15394i	−0.960557	+	0.278084i	$0.910301\pi$
$84$	0.943137	+	0.505543i	0.102905	+	0.0551592i
$85$	−0.0347577	−	9.67594i	−0.00377000	−	1.04950i
$86$	3.35969	+	5.81916i	0.362285	+	0.627496i
$87$	7.13734	−	5.47667i	0.765203	−	0.587161i
$88$	−10.7998	+	5.32585i	−1.15126	+	0.567738i
$89$	−9.77923	−	2.62034i	−1.03660	−	0.277755i	−0.299894	−	0.953972i	$-0.596951\pi$
$89$	−9.77923	−	2.62034i	−1.03660	−	0.277755i	−0.736702	+	0.676217i	$0.763618\pi$
$90$	−0.578312	−	2.90737i	−0.0609594	−	0.306464i
$91$	−9.51467	−	4.32452i	−0.997408	−	0.453333i
$92$	−0.402457	−	0.0800537i	−0.0419590	−	0.00834617i
$93$	6.86175	+	5.26521i	0.711530	+	0.545976i
$94$	−1.29453	+	9.83295i	−0.133521	+	1.01419i
$95$	−0.197366	−	0.173086i	−0.0202493	−	0.0177582i
$96$	2.01812	+	0.995226i	0.205973	+	0.101575i
$97$	8.74519	−	1.73953i	0.887939	−	0.176622i	0.270012	−	0.962857i	$-0.412972\pi$
$97$	8.74519	−	1.73953i	0.887939	−	0.176622i	0.617928	+	0.786235i	$0.287972\pi$
$98$	5.84557	−	6.63409i	0.590492	−	0.670144i
$99$	−2.20268	+	3.29654i	−0.221377	+	0.331315i
$100$	0.0267843	+	0.203447i	0.00267843	+	0.0203447i
$101$	−4.59309	+	7.95547i	−0.457030	+	0.791599i	−0.998802	−	0.0489261i	$-0.984420\pi$
$101$	−4.59309	+	7.95547i	−0.457030	+	0.791599i	0.541772	+	0.840525i	$0.317753\pi$
$102$	−5.16595	−	0.661241i	−0.511505	−	0.0654726i
$103$	8.82190	−	5.09333i	0.869247	−	0.501860i	0.00214937	−	0.999998i	$-0.499316\pi$
$103$	8.82190	−	5.09333i	0.869247	−	0.501860i	0.867098	+	0.498137i	$0.165983\pi$
$104$	−11.0843	−	4.59128i	−1.08691	−	0.450212i
$105$	6.20542	+	0.210442i	0.605587	+	0.0205370i
$106$	4.51357	+	4.51357i	0.438397	+	0.438397i
$107$	−2.48417	−	2.83265i	−0.240153	−	0.273842i	0.619190	−	0.785241i	$-0.287461\pi$
$107$	−2.48417	−	2.83265i	−0.240153	−	0.273842i	−0.859344	+	0.511399i	$0.829128\pi$
$108$	0.403588	−	0.0264526i	0.0388353	−	0.00254540i
$109$	7.48054	−	8.52992i	0.716506	−	0.817018i	−0.272923	−	0.962036i	$-0.587991\pi$
$109$	7.48054	−	8.52992i	0.716506	−	0.817018i	0.989429	+	0.145018i	$0.0463239\pi$
$110$	−7.15460	+	9.32406i	−0.682164	+	0.889014i
$111$	4.52425	−	1.87400i	0.429423	−	0.177873i
$112$	5.08878	−	6.18587i	0.480845	−	0.584510i
$113$	−3.58394	−	5.36375i	−0.337149	−	0.504579i	0.623695	−	0.781668i	$-0.285631\pi$
$113$	−3.58394	−	5.36375i	−0.337149	−	0.504579i	−0.960845	+	0.277088i	$0.910631\pi$
$114$	−0.106232	+	0.0931631i	−0.00994955	+	0.00872552i
$115$	−2.29981	+	0.616232i	−0.214458	+	0.0574639i
$116$	1.60933	+	3.26340i	0.149422	+	0.302999i
$117$	−3.91644	+	0.515609i	−0.362075	+	0.0476680i
$118$	6.20699			0.571400
$119$	3.81790	−	10.2188i	0.349987	−	0.936755i
$120$	7.12759			0.650657
$121$	4.67860	−	0.615949i	0.425327	−	0.0559954i
$122$	−0.503290	−	1.02057i	−0.0455658	−	0.0923982i
$123$	−7.26752	+	1.94733i	−0.655290	+	0.175584i
$124$	−2.63004	+	2.30648i	−0.236185	+	0.207128i
$125$	−5.85750	−	8.76637i	−0.523911	−	0.784088i
$126$	0.548266	−	3.29670i	0.0488434	−	0.293693i
$127$	−6.14766	+	2.54644i	−0.545516	+	0.225960i	−0.638384	−	0.769718i	$-0.720397\pi$
$127$	−6.14766	+	2.54644i	−0.545516	+	0.225960i	0.0928674	+	0.995678i	$0.470397\pi$
$128$	4.10202	−	5.34585i	0.362571	−	0.472511i
$129$	−3.50742	+	3.99945i	−0.308811	+	0.352132i
$130$	−11.6847	+	0.765856i	−1.02482	+	0.0671700i
$131$	−5.06412	−	5.77452i	−0.442454	−	0.504522i	0.487030	−	0.873385i	$-0.338080\pi$
$131$	−5.06412	−	5.77452i	−0.442454	−	0.504522i	−0.929484	+	0.368863i	$0.879747\pi$
$132$	−1.13388	−	1.13388i	−0.0986914	−	0.0986914i
$133$	−0.139205	−	0.261172i	−0.0120706	−	0.0226465i
$134$	5.48098	+	2.27030i	0.473485	+	0.196124i
$135$	2.03237	−	1.17339i	0.174918	−	0.100989i
$136$	3.98265	−	11.8724i	0.341509	−	1.01805i
$137$	1.17181	−	2.02964i	0.100115	−	0.173404i	−0.811617	−	0.584190i	$-0.801412\pi$
$137$	1.17181	−	2.02964i	0.100115	−	0.173404i	0.911732	+	0.410786i	$0.134746\pi$
$138$	0.167274	+	1.27057i	0.0142393	+	0.108158i
$139$	−9.18508	+	13.7464i	−0.779068	+	1.16596i	0.203321	+	0.979112i	$0.434826\pi$
$139$	−9.18508	+	13.7464i	−0.779068	+	1.16596i	−0.982389	+	0.186846i	$0.940174\pi$
$140$	−0.573117	+	2.44498i	−0.0484373	+	0.206638i
$141$	−7.70078	+	1.53178i	−0.648522	+	0.128999i
$142$	−14.6894	−	7.24400i	−1.23271	−	0.607903i
$143$	11.7750	+	10.3264i	0.984673	+	0.863535i
$144$	0.395169	−	3.00161i	0.0329308	−	0.250134i
$145$	16.7497	+	12.8525i	1.39099	+	1.06734i
$146$	20.8253	+	4.14241i	1.72351	+	0.342828i
$147$	6.46085	+	2.69397i	0.532882	+	0.222195i
$148$	0.386399	+	1.94256i	0.0317618	+	0.159677i
$149$	−4.03419	−	1.08096i	−0.330494	−	0.0885556i	0.0897566	−	0.995964i	$-0.471391\pi$
$149$	−4.03419	−	1.08096i	−0.330494	−	0.0885556i	−0.420250	+	0.907408i	$0.638058\pi$
$150$	0.574776	−	0.283448i	0.0469302	−	0.0231434i
$151$	12.3161	−	9.45046i	1.00227	−	0.769068i	0.0291977	−	0.999574i	$-0.490705\pi$
$151$	12.3161	−	9.45046i	1.00227	−	0.769068i	0.973071	+	0.230506i	$0.0740381\pi$
$152$	−0.169870	−	0.294224i	−0.0137783	−	0.0238647i
$153$	−0.818899	−	4.04097i	−0.0662041	−	0.326693i
$154$	−11.2601	+	6.98367i	−0.907368	+	0.562761i
$155$	−7.76747	+	18.7523i	−0.623898	+	1.50622i
$156$	0.104494	−	1.59427i	0.00836619	−	0.127643i
$157$	−4.81700	−	17.9773i	−0.384438	−	1.43474i	−0.839051	−	0.544053i	$-0.816889\pi$
$157$	−4.81700	−	17.9773i	−0.384438	−	1.43474i	0.454612	−	0.890689i	$-0.349778\pi$
$158$	−4.12978	+	12.1659i	−0.328548	+	0.967870i
$159$	−2.23505	+	4.53222i	−0.177251	+	0.359429i
$160$	−1.03020	+	5.17918i	−0.0814448	+	0.409450i
$161$	−2.67103	−	0.266242i	−0.210507	−	0.0209828i
$162$	−0.483386	−	1.16700i	−0.0379784	−	0.0916880i
$163$	−10.6718	+	3.62260i	−0.835883	+	0.283744i	−0.706378	−	0.707835i	$-0.749672\pi$
$163$	−10.6718	+	3.62260i	−0.835883	+	0.283744i	−0.129505	+	0.991579i	$0.541339\pi$
$164$	−0.199026	−	3.03655i	−0.0155413	−	0.237115i
$165$	−8.81052	−	2.99077i	−0.685898	−	0.232831i
$166$	−3.72011	+	13.8836i	−0.288737	+	1.07758i
$167$	−1.71012	−	1.14266i	−0.132333	−	0.0884220i	0.487642	−	0.873044i	$-0.337857\pi$
$167$	−1.71012	−	1.14266i	−0.132333	−	0.0884220i	−0.619975	+	0.784622i	$0.712857\pi$
$168$	7.51727	+	2.83939i	0.579970	+	0.219063i
$169$			2.60433i			0.200333i
$170$	−1.63884	−	12.1119i	−0.125693	−	0.928938i
$171$	−0.0968739	−	0.0559302i	−0.00740813	−	0.00427709i
$172$	−1.30976	−	1.70691i	−0.0998681	−	0.130151i
$173$	4.86097	+	0.318605i	0.369573	+	0.0242231i	0.249058	−	0.968489i	$-0.419879\pi$
$173$	4.86097	+	0.318605i	0.369573	+	0.0242231i	0.120514	+	0.992712i	$0.461546\pi$
$174$	8.03544	−	8.03544i	0.609165	−	0.609165i
$175$	0.303277	+	1.30763i	0.0229256	+	0.0988475i
$176$	−9.98031	+	6.66863i	−0.752294	+	0.502667i
$177$	1.57952	+	4.65312i	0.118724	+	0.349750i
$178$	−12.6790	−	1.66922i	−0.950330	−	0.125113i
$179$	23.7903	+	3.13206i	1.77817	+	0.234101i	0.946847	−	0.321683i	$-0.104249\pi$
$179$	23.7903	+	3.13206i	1.77817	+	0.234101i	0.831327	+	0.555784i	$0.187582\pi$
$180$	0.305098	+	0.898791i	0.0227407	+	0.0669919i
$181$	12.5478	−	8.38416i	0.932669	−	0.623189i	0.00637033	−	0.999980i	$-0.497972\pi$
$181$	12.5478	−	8.38416i	0.932669	−	0.623189i	0.926299	+	0.376790i	$0.122972\pi$
$182$	−12.6286	−	3.84706i	−0.936096	−	0.285163i
$183$	0.637005	−	0.637005i	0.0470888	−	0.0470888i
$184$	−3.07480	−	0.201533i	−0.226677	−	0.0148572i
$185$	6.99600	+	9.11736i	0.514356	+	0.670322i
$186$	9.46136	+	5.46252i	0.693741	+	0.400531i
$187$	−9.90474	+	13.0046i	−0.724306	+	0.950988i
$188$		−	3.17563i		−	0.231606i
$189$	2.61092	−	0.427914i	0.189916	−	0.0311262i
$190$	−0.275708	−	0.184222i	−0.0200019	−	0.0133649i
$191$	−3.75303	+	14.0065i	−0.271560	+	1.01348i	0.686552	+	0.727081i	$0.259123\pi$
$191$	−3.75303	+	14.0065i	−0.271560	+	1.01348i	−0.958112	+	0.286394i	$0.907543\pi$
$192$	8.42514	+	2.85995i	0.608032	+	0.206399i
$193$	0.861737	+	13.1476i	0.0620292	+	0.946383i	0.909543	+	0.415609i	$0.136432\pi$
$193$	0.861737	+	13.1476i	0.0620292	+	0.946383i	−0.847514	+	0.530773i	$0.821902\pi$
$194$	10.6652	−	3.62034i	0.765715	−	0.259925i
$195$	−3.54759	−	8.56465i	−0.254048	−	0.613327i
$196$	−1.57844	+	2.35034i	−0.112746	+	0.167881i
$197$	1.87855	−	9.44410i	0.133841	−	0.672864i	−0.854357	−	0.519686i	$-0.826049\pi$
$197$	1.87855	−	9.44410i	0.133841	−	0.672864i	0.988199	−	0.153179i	$-0.0489510\pi$
$198$	−2.21499	+	4.49156i	−0.157413	+	0.319202i
$199$	0.433865	−	1.27813i	0.0307559	−	0.0906039i	−0.930468	−	0.366373i	$-0.880599\pi$
$199$	0.433865	−	1.27813i	0.0307559	−	0.0906039i	0.961224	+	0.275769i	$0.0889326\pi$
$200$	0.398823	+	1.48843i	0.0282010	+	0.105248i
$201$	−0.307176	+	4.68660i	−0.0216665	+	0.330567i
$202$	−4.44048	+	10.7203i	−0.312431	+	0.754275i
$203$	12.5455	+	20.2277i	0.880520	+	1.41971i
$204$	1.66760	−	0.00599030i	0.116755	−	0.000419405i
$205$	−8.82844	−	15.2913i	−0.616605	−	1.06799i
$206$	10.2083	−	7.83309i	0.711245	−	0.545757i
$207$	−0.909929	+	0.448727i	−0.0632444	+	0.0311887i
$208$	−11.5519	−	3.09531i	−0.800977	−	0.214621i
$209$	0.0865214	+	0.434973i	0.00598481	+	0.0300877i
$210$	7.80601	−	0.759567i	0.538666	−	0.0524151i
$211$	10.5715	+	2.10280i	0.727771	+	0.144763i	0.545052	−	0.838402i	$-0.316510\pi$
$211$	10.5715	+	2.10280i	0.727771	+	0.144763i	0.182720	+	0.983165i	$0.441510\pi$
$212$	−1.62150	−	1.24422i	−0.111365	−	0.0854533i
$213$	1.69245	−	12.8554i	0.115965	−	0.880840i
$214$	−3.57806	−	3.13787i	−0.244591	−	0.214501i
$215$	−11.1964	−	5.52144i	−0.763586	−	0.376559i
$216$	2.97883	−	0.592525i	0.202683	−	0.0403162i
$217$	−15.6624	+	16.6833i	−1.06323	+	1.13253i
$218$	7.96184	−	11.9157i	0.539244	−	0.807035i
$219$	2.19412	+	16.6660i	0.148265	+	1.12618i
$220$	1.88158	−	3.25899i	0.126856	−	0.219721i
$221$	−16.2484	+	1.12361i	−1.09299	+	0.0755821i
$222$	5.35694	−	3.09283i	0.359534	−	0.207577i
$223$	2.18713	+	0.905939i	0.146461	+	0.0606661i	0.454710	−	0.890640i	$-0.349743\pi$
$223$	2.18713	+	0.905939i	0.146461	+	0.0606661i	−0.308249	+	0.951306i	$0.599743\pi$
$224$	−3.14973	+	5.05194i	−0.210450	+	0.337547i
$225$	0.358755	+	0.358755i	0.0239170	+	0.0239170i
$226$	−5.37267	−	6.12636i	−0.357385	−	0.407519i
$227$	−12.4456	+	0.815727i	−0.826043	+	0.0541417i	−0.472559	−	0.881299i	$-0.656670\pi$
$227$	−12.4456	+	0.815727i	−0.826043	+	0.0541417i	−0.353484	+	0.935441i	$0.615003\pi$
$228$	0.0298303	−	0.0340150i	0.00197556	−	0.00225270i
$229$	−4.91545	+	6.40594i	−0.324822	+	0.423316i	−0.927009	−	0.375039i	$-0.877629\pi$
$229$	−4.91545	+	6.40594i	−0.324822	+	0.423316i	0.602187	+	0.798355i	$0.294296\pi$
$230$	−2.77855	+	1.15091i	−0.183212	+	0.0758889i
$231$	−8.10079	−	6.66409i	−0.532993	−	0.438465i
$232$	15.1803	+	22.7189i	0.996635	+	1.49157i
$233$	16.1822	−	14.1914i	1.06013	−	0.929711i	0.0624696	−	0.998047i	$-0.480102\pi$
$233$	16.1822	−	14.1914i	1.06013	−	0.929711i	0.997662	+	0.0683361i	$0.0217690\pi$
$234$	−4.81971	+	1.29144i	−0.315074	+	0.0844239i
$235$	−8.14963	−	16.5258i	−0.531623	−	1.07803i
$236$	−1.97044	+	0.259414i	−0.128265	+	0.0168864i
$237$	−10.1712			−0.660692
$238$	3.09651	−	13.4269i	0.200717	−	0.870337i
$239$	30.1150			1.94798			0.973988	−	0.226600i	$-0.0727610\pi$
$239$	30.1150			1.94798			0.973988	+	0.226600i	$0.0727610\pi$
$240$	7.04410	−	0.927374i	0.454695	−	0.0598617i
$241$	−8.52295	−	17.2828i	−0.549011	−	1.11329i	−0.977734	−	0.209849i	$-0.932703\pi$
$241$	−8.52295	−	17.2828i	−0.549011	−	1.11329i	0.428722	−	0.903436i	$-0.358964\pi$
$242$	5.75766	−	1.54276i	0.370116	−	0.0991723i
$243$	0.751840	−	0.659346i	0.0482305	−	0.0422971i
$244$	0.202426	+	0.302952i	0.0129590	+	0.0193945i
$245$	−2.18247	+	16.2818i	−0.139433	+	1.04021i
$246$	−8.78036	+	3.63694i	−0.559815	+	0.231883i
$247$	−0.268996	+	0.350562i	−0.0171158	+	0.0223057i
$248$	−17.3202	+	19.7499i	−1.09983	+	1.25412i
$249$	−11.3547	+	0.744224i	−0.719572	+	0.0471633i
$250$	−8.78095	−	10.0128i	−0.555356	−	0.633262i
$251$	9.53448	+	9.53448i	0.601811	+	0.601811i	0.940793	−	0.338982i	$-0.110082\pi$
$251$	9.53448	+	9.53448i	0.601811	+	0.601811i	−0.338982	+	0.940793i	$0.610082\pi$
$252$	−0.0362685	+	1.06947i	−0.00228470	+	0.0673703i
$253$	3.71624	+	1.53932i	0.233638	+	0.0967761i
$254$	−7.27913	+	4.20261i	−0.456733	+	0.263695i
$255$	8.66272	−	4.31073i	0.542480	−	0.269949i
$256$	−4.64158	+	8.03946i	−0.290099	+	0.502466i
$257$	−1.48768	−	11.3001i	−0.0927990	−	0.704879i	−0.973087	−	0.230439i	$-0.925984\pi$
$257$	−1.48768	−	11.3001i	−0.0927990	−	0.704879i	0.880288	−	0.474440i	$-0.157349\pi$
$258$	−3.73309	+	5.58697i	−0.232412	+	0.347829i
$259$	3.74644	+	12.4028i	0.232792	+	0.770672i
$260$	3.67737	−	0.731474i	0.228061	−	0.0453641i
$261$	8.06865	+	3.97902i	0.499437	+	0.246295i
$262$	−7.29408	−	6.39674i	−0.450630	−	0.395192i
$263$	1.41786	−	10.7697i	0.0874288	−	0.664088i	−0.890475	−	0.455032i	$-0.849628\pi$
$263$	1.41786	−	10.7697i	0.0874288	−	0.664088i	0.977904	−	0.209056i	$-0.0670389\pi$
$264$	−9.55322	−	7.33044i	−0.587960	−	0.451158i
$265$	−11.6312	−	2.31360i	−0.714501	−	0.142123i
$266$	−0.217393	−	0.304126i	−0.0133292	−	0.0186472i
$267$	−1.97513	−	9.92967i	−0.120876	−	0.607686i
$268$	−1.83485	−	0.491647i	−0.112081	−	0.0300321i
$269$	10.0272	−	4.94489i	0.611372	−	0.301495i	−0.110120	−	0.993918i	$-0.535124\pi$
$269$	10.0272	−	4.94489i	0.611372	−	0.301495i	0.721492	+	0.692423i	$0.243457\pi$
$270$	2.35176	−	1.80457i	0.143124	−	0.109823i
$271$	−7.10524	−	12.3066i	−0.431613	−	0.747575i	0.565400	−	0.824817i	$-0.308722\pi$
$271$	−7.10524	−	12.3066i	−0.431613	−	0.747575i	−0.997012	+	0.0772419i	$0.975389\pi$
$272$	2.39127	−	12.2516i	0.144992	−	0.742860i
$273$	−0.329687	−	10.4461i	−0.0199536	−	0.632228i
$274$	1.13288	−	2.73500i	0.0684395	−	0.165228i
$275$	0.131560	−	2.00722i	0.00793336	−	0.121040i
$276$	−0.106204	−	0.396360i	−0.00639274	−	0.0238580i
$277$	−3.55911	+	10.4848i	−0.213846	+	0.629970i	0.786084	+	0.618120i	$0.212105\pi$
$277$	−3.55911	+	10.4848i	−0.213846	+	0.629970i	−0.999930	+	0.0118499i	$0.996228\pi$
$278$	−9.23643	+	18.7296i	−0.553965	+	1.12333i
$279$	−1.68735	+	8.48286i	−0.101019	+	0.507855i
$280$	−1.87044	+	18.7648i	−0.111780	+	1.12141i
$281$	4.33448	+	10.4644i	0.258573	+	0.624251i	0.998845	−	0.0480572i	$-0.0153030\pi$
$281$	4.33448	+	10.4644i	0.258573	+	0.624251i	−0.740271	+	0.672308i	$0.765303\pi$
$282$	−9.39146	+	3.18797i	−0.559253	+	0.189841i
$283$	−0.0202775	−	0.309375i	−0.00120537	−	0.0183904i	0.997214	−	0.0745956i	$-0.0237666\pi$
$283$	−0.0202775	−	0.309375i	−0.00120537	−	0.0183904i	−0.998419	+	0.0562051i	$0.982100\pi$
$284$	4.96598	+	1.68572i	0.294677	+	0.100029i
$285$	0.0679429	−	0.253566i	0.00402459	−	0.0150200i
$286$	16.4489	+	10.9908i	0.972641	+	0.649898i
$287$	−3.21958	−	19.6442i	−0.190046	−	1.15956i
$288$			2.25017i			0.132593i
$289$	−2.33998	−	16.8382i	−0.137646	−	0.990482i
$290$	23.0955	+	13.3342i	1.35621	+	0.783010i
$291$	5.42803	+	7.07395i	0.318197	+	0.414682i
$292$	−6.78423	−	0.444662i	−0.397017	−	0.0260219i
$293$	10.7209	−	10.7209i	0.626322	−	0.626322i	−0.320819	−	0.947141i	$-0.603958\pi$
$293$	10.7209	−	10.7209i	0.626322	−	0.626322i	0.947141	+	0.320819i	$0.103958\pi$
$294$	8.53536	+	2.30855i	0.497792	+	0.134637i
$295$	−9.58836	+	6.40674i	−0.558256	+	0.373015i
$296$	4.78081	+	14.0838i	0.277879	+	0.818605i
$297$	−3.93080	−	0.517499i	−0.228088	−	0.0300284i
$298$	−5.23041	−	0.688597i	−0.302990	−	0.0398893i
$299$	1.28824	+	3.79505i	0.0745011	+	0.219473i
$300$	−0.170619	+	0.114004i	−0.00985071	+	0.00658204i
$301$	−9.60895	−	10.2836i	−0.553851	−	0.592734i
$302$	13.8658	−	13.8658i	0.797888	−	0.797888i
$303$	−9.16652	−	0.600805i	−0.526603	−	0.0345154i
$304$	−0.206162	−	0.268676i	−0.0118242	−	0.0154096i
$305$	1.83088	+	1.05706i	0.104836	+	0.0605271i
$306$	−1.69179	−	4.92566i	−0.0967134	−	0.281581i
$307$			23.3959i			1.33528i	0.744486	+	0.667638i	$0.232695\pi$
$307$			23.3959i			1.33528i	−0.744486	+	0.667638i	$0.767305\pi$
$308$	3.28272	−	2.68761i	0.187050	−	0.153141i
$309$	8.46989	+	5.65940i	0.481835	+	0.321952i
$310$	−6.63576	+	24.7650i	−0.376886	+	1.40656i
$311$	2.76848	+	0.939772i	0.156986	+	0.0532896i	0.398826	−	0.917027i	$-0.369418\pi$
$311$	2.76848	+	0.939772i	0.156986	+	0.0532896i	−0.241840	+	0.970316i	$0.577751\pi$
$312$	−0.784679	−	11.9719i	−0.0444237	−	0.677775i
$313$	−11.6496	+	3.95451i	−0.658474	+	0.223522i	−0.630622	−	0.776090i	$-0.717200\pi$
$313$	−11.6496	+	3.95451i	−0.658474	+	0.223522i	−0.0278523	+	0.999612i	$0.508867\pi$
$314$	−8.99652	−	21.7195i	−0.507703	−	1.22570i
$315$	2.55585	+	5.65855i	0.144006	+	0.318823i
$316$	0.802561	−	4.03475i	0.0451476	−	0.226972i
$317$	9.08357	−	18.4197i	0.510184	−	1.03455i	−0.477579	−	0.878589i	$-0.658485\pi$
$317$	9.08357	−	18.4197i	0.510184	−	1.03455i	0.987763	−	0.155963i	$-0.0498479\pi$
$318$	−2.05180	+	6.04440i	−0.115059	+	0.338953i
$319$	−9.23162	−	34.4529i	−0.516872	−	1.92899i
$320$	−1.36562	+	20.8353i	−0.0763404	+	1.16473i
$321$	1.44181	−	3.48083i	0.0804738	−	0.194281i
$322$	−3.38894	+	0.106957i	−0.188858	+	0.00596050i
$323$	−0.384402	−	0.254856i	−0.0213887	−	0.0141806i
$324$	0.202227	+	0.350267i	0.0112348	+	0.0194593i
$325$	1.59002	−	1.22006i	0.0881983	−	0.0676770i
$326$	−12.7675	+	6.29625i	−0.707128	+	0.348717i
$327$	10.9588	+	2.93640i	0.606024	+	0.162384i
$328$	−4.45809	−	22.4123i	−0.246157	−	1.23751i
$329$	−2.01187	−	20.6758i	−0.110918	−	1.13990i
$330$	−11.5269	−	2.29284i	−0.634535	−	0.126217i
$331$	0.592390	+	0.454557i	0.0325607	+	0.0249847i	0.624914	−	0.780694i	$-0.285134\pi$
$331$	0.592390	+	0.454557i	0.0325607	+	0.0249847i	−0.592353	+	0.805679i	$0.701801\pi$
$332$	0.600720	−	4.56292i	0.0329688	−	0.250423i
$333$	3.68177	+	3.22882i	0.201760	+	0.176938i
$334$	−2.33005	−	1.14905i	−0.127495	−	0.0628734i
$335$	−10.8102	+	2.15028i	−0.590625	+	0.117483i
$336$	7.79865	+	1.82805i	0.425451	+	0.0997284i
$337$	18.6667	−	27.9367i	1.01684	−	1.52181i	0.173211	−	0.984885i	$-0.444586\pi$
$337$	18.6667	−	27.9367i	1.01684	−	1.52181i	0.843630	−	0.536925i	$-0.180414\pi$
$338$	0.429386	+	3.26151i	0.0233555	+	0.177403i
$339$	3.22547	−	5.58667i	0.175183	−	0.303426i
$340$	1.02646	+	3.77649i	0.0556676	+	0.204809i
$341$	29.6969	−	17.1455i	1.60818	−	0.928481i
$342$	−0.130541	−	0.0540717i	−0.00705883	−	0.00292386i
$343$	−8.78790	+	16.3025i	−0.474502	+	0.880255i
$344$	−11.4243	−	11.4243i	−0.615959	−	0.615959i
$345$	−1.56986	−	1.79008i	−0.0845185	−	0.0963749i
$346$	6.14013	−	0.402445i	0.330095	−	0.0216356i
$347$	6.59913	−	7.52487i	0.354260	−	0.403956i	−0.547072	−	0.837086i	$-0.684257\pi$
$347$	6.59913	−	7.52487i	0.354260	−	0.403956i	0.901332	+	0.433130i	$0.142591\pi$
$348$	−2.21506	+	2.88673i	−0.118740	+	0.154745i
$349$	3.75751	−	1.55641i	0.201135	−	0.0833129i	−0.279842	−	0.960046i	$-0.590282\pi$
$349$	3.75751	−	1.55641i	0.201135	−	0.0833129i	0.480977	+	0.876733i	$0.340282\pi$
$350$	0.595401	+	1.58760i	0.0318255	+	0.0848607i
$351$	−2.19463	−	3.28450i	−0.117141	−	0.175314i
$352$	6.70738	−	5.88222i	0.357505	−	0.313523i
$353$	3.47578	−	0.931332i	0.184997	−	0.0495698i	−0.165131	−	0.986272i	$-0.552805\pi$
$353$	3.47578	−	0.931332i	0.184997	−	0.0495698i	0.350128	+	0.936702i	$0.386138\pi$
$354$	2.74528	+	5.56688i	0.145910	+	0.295876i
$355$	30.1688	−	3.97180i	1.60119	−	0.210801i
$356$	4.09478			0.217023
$357$	10.8536	−	1.09548i	0.574432	−	0.0579790i
$358$	30.3101			1.60194
$359$	−2.18392	+	0.287519i	−0.115263	+	0.0151747i	−0.187937	−	0.982181i	$-0.560180\pi$
$359$	−2.18392	+	0.287519i	−0.115263	+	0.0151747i	0.0726740	+	0.997356i	$0.476847\pi$
$360$	3.15245	+	6.39254i	0.166149	+	0.336917i
$361$	18.3405	−	4.91432i	0.965290	−	0.258649i
$362$	14.3318	−	12.5686i	0.753262	−	0.660593i
$363$	2.62172	+	3.92368i	0.137605	+	0.205940i
$364$	4.16981	+	0.693471i	0.218557	+	0.0363478i
$365$	−36.4460	+	15.0964i	−1.90767	+	0.790182i
$366$	0.692723	−	0.902775i	0.0362092	−	0.0471888i
$367$	−19.1095	+	21.7902i	−0.997505	+	1.13744i	−0.00699807	+	0.999976i	$0.502228\pi$
$367$	−19.1095	+	21.7902i	−0.997505	+	1.13744i	−0.990507	+	0.137461i	$0.956106\pi$
$368$	−3.06500	+	0.200891i	−0.159774	+	0.0104722i
$369$	−4.96084	−	5.65676i	−0.258251	−	0.294479i
$370$	10.2646	+	10.2646i	0.533632	+	0.533632i
$371$	−11.3455	−	7.07357i	−0.589028	−	0.367241i
$372$	−3.23186	−	1.33868i	−0.167564	−	0.0694074i
$373$	22.6460	−	13.0747i	1.17256	−	0.676980i	0.218282	−	0.975886i	$-0.429955\pi$
$373$	22.6460	−	13.0747i	1.17256	−	0.676980i	0.954283	+	0.298906i	$0.0966216\pi$
$374$	−10.2600	+	17.9192i	−0.530533	+	0.926580i
$375$	5.27161	−	9.13070i	0.272225	−	0.471507i
$376$	−3.11264	−	23.6429i	−0.160522	−	1.21929i
$377$	19.7438	−	29.5487i	1.01686	−	1.52184i
$378$	3.19921	−	0.966368i	0.164550	−	0.0497046i
$379$	23.9602	−	4.76597i	1.23075	−	0.244812i	0.463464	−	0.886116i	$-0.346606\pi$
$379$	23.9602	−	4.76597i	1.23075	−	0.244812i	0.767287	+	0.641304i	$0.221606\pi$
$380$	0.0952242	+	0.0469594i	0.00488490	+	0.00240897i
$381$	−5.00287	−	4.38740i	−0.256305	−	0.224773i
$382$	−2.39077	+	18.1597i	−0.122323	+	0.929132i
$383$	−12.3856	−	9.50382i	−0.632876	−	0.485622i	0.241803	−	0.970325i	$-0.422261\pi$
$383$	−12.3856	−	9.50382i	−0.632876	−	0.485622i	−0.874679	+	0.484703i	$0.838928\pi$
$384$	6.60883	+	1.31458i	0.337255	+	0.0670842i
$385$	10.1859	−	22.4107i	0.519121	−	1.14215i
$386$	3.24688	+	16.3232i	0.165262	+	0.830828i
$387$	−5.13829	−	1.37680i	−0.261194	−	0.0699867i
$388$	−3.23441	+	1.59503i	−0.164202	+	0.0809756i
$389$	−11.1667	+	8.56849i	−0.566173	+	0.434440i	−0.851774	−	0.523909i	$-0.824473\pi$
$389$	−11.1667	+	8.56849i	−0.566173	+	0.434440i	0.285602	+	0.958348i	$0.407807\pi$
$390$	−5.85489	−	10.1410i	−0.296474	−	0.513508i
$391$	−3.85893	+	1.61469i	−0.195154	+	0.0816582i
$392$	−9.44796	+	19.0456i	−0.477194	+	0.961950i
$393$	2.93921	−	7.09587i	0.148263	−	0.357939i
$394$	0.795499	−	12.1370i	0.0400767	−	0.611452i
$395$	−6.17790	−	23.0562i	−0.310844	−	1.16009i
$396$	0.515443	−	1.51845i	0.0259020	−	0.0763047i
$397$	2.46170	−	4.99183i	0.123549	−	0.250533i	−0.826307	−	0.563220i	$-0.809562\pi$
$397$	2.46170	−	4.99183i	0.123549	−	0.250533i	0.949856	+	0.312687i	$0.101229\pi$
$398$	0.332618	−	1.67218i	0.0166726	−	0.0838190i
$399$	0.172669	−	0.240363i	0.00864428	−	0.0120332i
$400$	0.587811	+	1.41910i	0.0293906	+	0.0709551i
$401$	11.3788	−	3.86257i	0.568228	−	0.192887i	−0.0225159	−	0.999746i	$-0.507168\pi$
$401$	11.3788	−	3.86257i	0.568228	−	0.192887i	0.590744	+	0.806859i	$0.298834\pi$
$402$	0.388009	+	5.91987i	0.0193521	+	0.295256i
$403$	32.3526	+	10.9822i	1.61160	+	0.547063i
$404$	0.961614	−	3.58879i	0.0478421	−	0.178549i
$405$	1.95127	+	1.30380i	0.0969595	+	0.0647863i
$406$	19.0463	+	23.2636i	0.945250	+	1.15455i
$407$		−	19.4153i		−	0.962379i
$408$	12.4095	−	1.67912i	0.614364	−	0.0831288i
$409$	−23.3064	−	13.4560i	−1.15243	−	0.665355i	−0.202951	−	0.979189i	$-0.565053\pi$
$409$	−23.3064	−	13.4560i	−1.15243	−	0.665355i	−0.949478	+	0.313834i	$0.898387\pi$
$410$	−13.5774	−	17.6944i	−0.670538	−	0.873863i
$411$	2.33861	+	0.153280i	0.115355	+	0.00756076i
$412$	−2.91330	+	2.91330i	−0.143528	+	0.143528i
$413$	−12.6648	+	2.93733i	−0.623194	+	0.144537i
$414$	−1.06556	+	0.711984i	−0.0523694	+	0.0349921i
$415$	−8.58373	−	25.2868i	−0.421359	−	1.24128i
$416$	8.81266	+	1.16021i	0.432076	+	0.0568839i
$417$	−16.3913	−	2.15795i	−0.802684	−	0.105675i
$418$	0.180070	+	0.530470i	0.00880752	+	0.0259461i
$419$	−21.6434	+	14.4617i	−1.05735	+	0.706498i	−0.957479	−	0.288502i	$-0.906843\pi$
$419$	−21.6434	+	14.4617i	−1.05735	+	0.706498i	−0.0998700	+	0.995000i	$0.531843\pi$
$420$	−2.44632	+	0.567372i	−0.119368	+	0.0276849i
$421$	−26.2524	+	26.2524i	−1.27946	+	1.27946i	−0.338497	+	0.940968i	$0.609918\pi$
$421$	−26.2524	+	26.2524i	−1.27946	+	1.27946i	−0.940968	+	0.338497i	$0.890082\pi$
$422$	13.5858	+	0.890462i	0.661348	+	0.0433470i
$423$	−4.77978	−	6.22913i	−0.232401	−	0.302871i
$424$	−13.2918	−	7.67400i	−0.645505	−	0.372682i
$425$	1.38491	+	1.56780i	0.0671782	+	0.0760493i
$426$		−	16.3784i		−	0.793538i
$427$	1.50988	+	1.84421i	0.0730684	+	0.0892476i
$428$	1.26702	+	0.846594i	0.0612436	+	0.0409217i
$429$	−4.05351	+	15.1279i	−0.195705	+	0.730381i
$430$	−14.9320	−	5.06874i	−0.720087	−	0.244437i
$431$	2.58686	+	39.4679i	0.124605	+	1.90110i	0.365907	+	0.930651i	$0.380759\pi$
$431$	2.58686	+	39.4679i	0.124605	+	1.90110i	−0.241302	+	0.970450i	$0.577575\pi$
$432$	2.86684	−	0.973161i	0.137931	−	0.0468212i
$433$	−5.05109	−	12.1944i	−0.242740	−	0.586026i	0.754813	−	0.655940i	$-0.227728\pi$
$433$	−5.05109	−	12.1944i	−0.242740	−	0.586026i	−0.997553	+	0.0699140i	$0.977728\pi$
$434$	−16.8641	+	23.4755i	−0.809501	+	1.12686i
$435$	−4.11886	+	20.7069i	−0.197484	+	0.992820i
$436$	−2.02953	+	4.11547i	−0.0971966	+	0.197095i
$437$	−0.0364797	+	0.107466i	−0.00174506	+	0.00514079i
$438$	5.49558	+	20.5098i	0.262589	+	0.979995i
$439$	2.48578	−	37.9257i	0.118640	−	1.81009i	−0.360934	−	0.932591i	$-0.617542\pi$
$439$	2.48578	−	37.9257i	0.118640	−	1.81009i	0.479574	−	0.877502i	$-0.340791\pi$
$440$	10.8142	−	26.1078i	0.515547	−	1.24464i
$441$	0.441410	+	6.98607i	0.0210195	+	0.332670i
$442$	−20.1633	+	4.08609i	−0.959072	+	0.194355i
$443$	14.0068	+	24.2605i	0.665483	+	1.15265i	0.979154	+	0.203119i	$0.0651077\pi$
$443$	14.0068	+	24.2605i	0.665483	+	1.15265i	−0.313671	+	0.949532i	$0.601559\pi$
$444$	−1.57133	+	1.20572i	−0.0745719	+	0.0572210i
$445$	21.3090	−	10.5084i	1.01014	−	0.498148i
$446$	2.88840	+	0.773945i	0.136770	+	0.0366473i
$447$	−0.814795	−	4.09625i	−0.0385385	−	0.193746i
$448$	−9.74035	+	21.4304i	−0.460188	+	1.01249i
$449$	−31.9372	−	6.35271i	−1.50721	−	0.299803i	−0.628746	−	0.777611i	$-0.716431\pi$
$449$	−31.9372	−	6.35271i	−1.50721	−	0.299803i	−0.878464	+	0.477808i	$0.841431\pi$
$450$	0.508434	+	0.390135i	0.0239678	+	0.0183911i
$451$	−3.89361	+	29.5749i	−0.183343	+	1.39263i
$452$	1.96163	+	1.72030i	0.0922672	+	0.0809162i
$453$	13.9231	+	6.86613i	0.654166	+	0.322599i
$454$	−15.4516	+	3.07352i	−0.725182	+	0.144248i
$455$	23.4792	−	7.09221i	1.10072	−	0.332488i
$456$	0.188750	−	0.282484i	0.00883901	−	0.0132285i
$457$	3.23695	+	24.5871i	0.151418	+	1.15014i	0.883335	+	0.468742i	$0.155293\pi$
$457$	3.23695	+	24.5871i	0.151418	+	1.15014i	−0.731917	+	0.681394i	$0.761374\pi$
$458$	−5.09966	+	8.83286i	−0.238291	+	0.412733i
$459$	3.26204	−	2.52172i	0.152259	−	0.117704i
$460$	0.833965	−	0.481490i	0.0388838	−	0.0224496i
$461$	−24.5799	−	10.1813i	−1.14480	−	0.474191i	−0.272013	−	0.962294i	$-0.587689\pi$
$461$	−24.5799	−	10.1813i	−1.14480	−	0.474191i	−0.872786	+	0.488102i	$0.837689\pi$
$462$	−11.2437	−	7.01011i	−0.523104	−	0.326140i
$463$	6.85803	+	6.85803i	0.318720	+	0.318720i	0.848275	−	0.529556i	$-0.177641\pi$
$463$	6.85803	+	6.85803i	0.318720	+	0.318720i	−0.529556	+	0.848275i	$0.677641\pi$
$464$	17.9584	+	20.4777i	0.833699	+	0.950652i
$465$	−20.2539	+	1.32751i	−0.939253	+	0.0615619i
$466$	17.9259	−	20.4405i	0.830400	−	0.946890i
$467$	3.96849	−	5.17183i	0.183640	−	0.239324i	−0.692457	−	0.721459i	$-0.743472\pi$
$467$	3.96849	−	5.17183i	0.183640	−	0.239324i	0.876097	+	0.482135i	$0.160139\pi$
$468$	1.47607	−	0.611408i	0.0682314	−	0.0282624i
$469$	−12.2578	−	2.03857i	−0.566013	−	0.0941323i
$470$	−12.9308	−	19.3523i	−0.596454	−	0.892656i
$471$	13.9928	−	12.2714i	0.644755	−	0.565435i
$472$	−14.4159	+	3.86273i	−0.663545	+	0.177796i
$473$	9.32809	+	18.9155i	0.428906	+	0.869736i
$474$	−12.7379	+	1.67697i	−0.585069	+	0.0770258i
$475$	0.0567530			0.00260401
$476$	−0.421843	+	4.39186i	−0.0193351	+	0.201301i
$477$	−5.05336			−0.231378
$478$	37.7143	−	4.96518i	1.72501	−	0.227102i
$479$	−9.41451	−	19.0907i	−0.430160	−	0.872278i	−0.998766	−	0.0496681i	$-0.984184\pi$
$479$	−9.41451	−	19.0907i	−0.430160	−	0.872278i	0.568606	−	0.822610i	$-0.307483\pi$
$480$	−5.10072	+	1.36673i	−0.232815	+	0.0623825i
$481$	14.5438	−	12.7546i	0.663142	−	0.581560i
$482$	−13.5231	−	20.2388i	−0.615962	−	0.921853i
$483$	−0.942581	−	2.51333i	−0.0428889	−	0.114360i
$484$	−1.76332	+	0.730392i	−0.0801510	+	0.0331996i
$485$	−12.7384	+	16.6010i	−0.578420	+	0.753811i
$486$	0.832852	−	0.949686i	0.0377789	−	0.0430786i
$487$	−18.3895	+	1.20531i	−0.833306	+	0.0546178i	−0.476082	−	0.879401i	$-0.657944\pi$
$487$	−18.3895	+	1.20531i	−0.833306	+	0.0546178i	−0.357224	+	0.934019i	$0.616277\pi$
$488$	1.80402	+	2.05710i	0.0816644	+	0.0931204i
$489$	−7.96905	−	7.96905i	−0.360373	−	0.360373i
$490$	−0.0487512	+	20.7502i	−0.00220235	+	0.937400i
$491$	8.37447	+	3.46882i	0.377934	+	0.156546i	0.563560	−	0.826075i	$-0.309431\pi$
$491$	8.37447	+	3.46882i	0.377934	+	0.156546i	−0.185626	+	0.982620i	$0.559431\pi$
$492$	2.63537	−	1.52153i	0.118812	−	0.0685960i
$493$	32.1901	+	18.4311i	1.44977	+	0.830094i
$494$	−0.279076	+	0.483375i	−0.0125562	+	0.0217481i
$495$	−1.21445	−	9.22470i	−0.0545857	−	0.414619i
$496$	−14.5476	+	21.7721i	−0.653209	+	0.977596i
$497$	33.4004	+	7.82927i	1.49821	+	0.351191i
$498$	−14.0972	+	2.80411i	−0.631712	+	0.125655i
$499$	16.4133	+	8.09416i	0.734762	+	0.362345i	0.770861	−	0.637004i	$-0.219826\pi$
$499$	16.4133	+	8.09416i	0.734762	+	0.362345i	−0.0360988	+	0.999348i	$0.511493\pi$
$500$	3.20603	+	2.81162i	0.143378	+	0.125739i
$501$	0.268459	−	2.03915i	0.0119938	−	0.0911023i
$502$	13.5124	+	10.3685i	0.603089	+	0.462767i
$503$	3.63688	+	0.723420i	0.162160	+	0.0322557i	0.275503	−	0.961300i	$-0.411156\pi$
$503$	3.63688	+	0.723420i	0.162160	+	0.0322557i	−0.113342	+	0.993556i	$0.536156\pi$
$504$	0.778235	+	7.99786i	0.0346654	+	0.356253i
$505$	−4.20574	−	21.1437i	−0.187153	−	0.940882i
$506$	4.90780	+	1.31504i	0.218178	+	0.0584607i
$507$	−2.33575	+	1.15187i	−0.103734	+	0.0511561i
$508$	2.13516	−	1.63836i	0.0947323	−	0.0726907i
$509$	−6.97344	−	12.0783i	−0.309092	−	0.535363i	0.669072	−	0.743198i	$-0.266692\pi$
$509$	−6.97344	−	12.0783i	−0.309092	−	0.535363i	−0.978164	+	0.207834i	$0.933358\pi$
$510$	10.1380	−	6.82677i	0.448916	−	0.302295i
$511$	−44.4524	+	1.40295i	−1.96646	+	0.0620628i
$512$	−9.64463	+	23.2842i	−0.426236	+	1.02903i
$513$	0.00731601	−	0.111621i	0.000323010	−	0.00492818i
$514$	−3.72617	−	13.9063i	−0.164355	−	0.613379i
$515$	−7.68426	+	22.6371i	−0.338609	+	0.997510i
$516$	0.951590	−	1.92963i	0.0418914	−	0.0849474i
$517$	−6.07307	+	30.5314i	−0.267093	+	1.34277i
$518$	6.73673	+	14.9149i	0.295995	+	0.655321i
$519$	1.86420	+	4.50058i	0.0818294	+	0.197554i
$520$	26.6614	−	9.05033i	1.16918	−	0.396883i
$521$	−0.406298	−	6.19891i	−0.0178003	−	0.271579i	−0.997477	−	0.0709950i	$-0.977383\pi$
$521$	−0.406298	−	6.19891i	−0.0178003	−	0.271579i	0.979676	−	0.200584i	$-0.0642841\pi$
$522$	10.7607	+	3.65278i	0.470985	+	0.159878i
$523$	0.275981	−	1.02998i	0.0120678	−	0.0450377i	−0.959629	−	0.281268i	$-0.909245\pi$
$523$	0.275981	−	1.02998i	0.0120678	−	0.0450377i	0.971697	+	0.236230i	$0.0759118\pi$
$524$	2.58289	+	1.72583i	0.112834	+	0.0753933i
$525$	−1.03864	+	0.850351i	−0.0453300	+	0.0371124i
$526$		−	13.7211i		−	0.598269i
$527$	−9.10593	+	34.4787i	−0.396661	+	1.50192i
$528$	−10.3951	−	6.00161i	−0.452388	−	0.261186i
$529$	−13.3749	−	17.4305i	−0.581517	−	0.757848i
$530$	−14.9478	−	0.979727i	−0.649289	−	0.0425566i
$531$	−3.47465	+	3.47465i	−0.150787	+	0.150787i
$532$	0.0817233	+	0.0874608i	0.00354315	+	0.00379191i
$533$	−24.7122	+	16.5122i	−1.07040	+	0.715221i
$534$	−4.11069	−	12.1097i	−0.177887	−	0.524038i
$535$	8.76612	+	1.15408i	0.378992	+	0.0498953i
$536$	−14.1426	−	1.86190i	−0.610866	−	0.0804220i
$537$	7.71314	+	22.7222i	0.332847	+	0.980535i
$538$	11.7423	−	7.84593i	0.506245	−	0.338262i
$539$	19.6704	−	19.5782i	0.847264	−	0.843292i
$540$	−0.671159	+	0.671159i	−0.0288821	+	0.0288821i
$541$	−32.4354	−	2.12593i	−1.39451	−	0.0914008i	−0.650466	−	0.759535i	$-0.725426\pi$
$541$	−32.4354	−	2.12593i	−1.39451	−	0.0914008i	−0.744040	+	0.668135i	$0.767093\pi$
$542$	−10.9272	−	14.2407i	−0.469365	−	0.611689i
$543$	13.0693	+	7.54554i	0.560856	+	0.323810i
$544$	−0.573531	+	9.25996i	−0.0245899	+	0.397017i
$545$			26.6251i			1.14049i
$546$	−2.13518	−	13.0278i	−0.0913771	−	0.557537i
$547$	4.61428	+	3.08316i	0.197292	+	0.131826i	0.650293	−	0.759684i	$-0.274646\pi$
$547$	4.61428	+	3.08316i	0.197292	+	0.131826i	−0.453000	+	0.891510i	$0.649646\pi$
$548$	−0.245331	+	0.915589i	−0.0104800	+	0.0391120i
$549$	0.853053	+	0.289572i	0.0364074	+	0.0123587i
$550$	−0.166180	−	2.53541i	−0.00708593	−	0.108110i
$551$	0.952936	−	0.323478i	0.0405964	−	0.0137806i
$552$	−1.17920	−	2.84684i	−0.0501901	−	0.121170i
$553$	2.66915	−	26.7778i	0.113504	−	1.13871i
$554$	−2.72855	+	13.7174i	−0.115925	+	0.582794i
$555$	−5.08286	+	10.3070i	−0.215756	+	0.437509i
$556$	2.14937	−	6.33185i	0.0911538	−	0.268530i
$557$	−3.23092	−	12.0580i	−0.136898	−	0.510912i	−0.999983	−	0.00585232i	$-0.998137\pi$
$557$	−3.23092	−	12.0580i	−0.136898	−	0.510912i	0.863084	−	0.505060i	$-0.168530\pi$
$558$	−0.714532	+	10.9016i	−0.0302485	+	0.461503i
$559$	−8.04150	+	19.4139i	−0.340119	+	0.821121i
$560$	0.592975	+	18.7884i	0.0250578	+	0.793955i
$561$	−16.0442	−	3.13152i	−0.677386	−	0.132213i
$562$	7.15355	+	12.3903i	0.301754	+	0.522654i
$563$	−0.469391	+	0.360176i	−0.0197825	+	0.0151796i	−0.618605	−	0.785702i	$-0.712302\pi$
$563$	−0.469391	+	0.360176i	−0.0197825	+	0.0151796i	0.598823	+	0.800881i	$0.295635\pi$
$564$	2.84813	−	1.40454i	0.119928	−	0.0591420i
$565$	14.6230	+	3.91823i	0.615196	+	0.164841i
$566$	−0.0764022	−	0.384100i	−0.00321143	−	0.0161449i
$567$	1.53856	+	2.15240i	0.0646136	+	0.0903923i
$568$	38.6245	+	7.68289i	1.62065	+	0.322367i
$569$	11.3251	+	8.69007i	0.474774	+	0.364307i	0.818258	−	0.574852i	$-0.194940\pi$
$569$	11.3251	+	8.69007i	0.474774	+	0.364307i	−0.343484	+	0.939159i	$0.611607\pi$
$570$	0.0432813	−	0.328754i	0.00181285	−	0.0137700i
$571$	25.1621	+	22.0665i	1.05300	+	0.923456i	0.997185	−	0.0749854i	$-0.0238910\pi$
$571$	25.1621	+	22.0665i	1.05300	+	0.923456i	0.0558148	+	0.998441i	$0.482224\pi$
$572$	−5.68113	−	2.80162i	−0.237540	−	0.117142i
$573$	−14.2220	+	2.82893i	−0.594132	+	0.118180i
$574$	−7.27084	−	24.0705i	−0.303479	−	1.00468i
$575$	0.285975	−	0.427992i	0.0119260	−	0.0178485i
$576$	1.16133	+	8.82120i	0.0483889	+	0.367550i
$577$	−9.45131	+	16.3701i	−0.393463	+	0.681498i	−0.992904	−	0.118921i	$-0.962056\pi$
$577$	−9.45131	+	16.3701i	−0.393463	+	0.681498i	0.599441	+	0.800419i	$0.295390\pi$
$578$	−5.70663	−	20.7014i	−0.237365	−	0.861064i
$579$	−11.4106	+	6.58789i	−0.474207	+	0.273783i
$580$	−7.88907	−	3.26776i	−0.327576	−	0.135686i
$581$	1.02039	−	30.0888i	0.0423329	−	1.24829i
$582$	7.96407	+	7.96407i	0.330121	+	0.330121i
$583$	13.2101	+	15.0632i	0.547106	+	0.623855i
$584$	−50.9451	+	3.33912i	−2.10812	+	0.138174i
$585$	6.11234	−	6.96979i	0.252714	−	0.288165i
$586$	11.6586	−	15.1938i	0.481614	−	0.627652i
$587$	5.28769	−	2.19023i	0.218246	−	0.0904005i	−0.270882	−	0.962613i	$-0.587315\pi$
$587$	5.28769	−	2.19023i	0.218246	−	0.0904005i	0.489128	+	0.872212i	$0.337315\pi$
$588$	−2.80608	−	0.376137i	−0.115721	−	0.0155116i
$589$	0.537506	+	0.804434i	0.0221475	+	0.0331461i
$590$	−10.9516	+	9.60431i	−0.450871	+	0.395403i
$591$	9.30102	−	2.49220i	0.382593	−	0.102515i
$592$	6.55726	+	13.2968i	0.269502	+	0.546495i
$593$	−11.4397	+	1.50607i	−0.469773	+	0.0618468i	−0.361697	−	0.932296i	$-0.617802\pi$
$593$	−11.4397	+	1.50607i	−0.469773	+	0.0618468i	−0.108076	+	0.994143i	$0.534469\pi$
$594$	−5.00803			−0.205482
$595$	9.07560	+	23.9376i	0.372063	+	0.981346i
$596$	1.68920			0.0691924
$597$	1.33821	−	0.176179i	0.0547693	−	0.00721051i
$598$	2.23903	+	4.54030i	0.0915607	+	0.185667i
$599$	−21.5028	+	5.76167i	−0.878582	+	0.235415i	−0.669795	−	0.742546i	$-0.733618\pi$
$599$	−21.5028	+	5.76167i	−0.878582	+	0.235415i	−0.208787	+	0.977961i	$0.566951\pi$
$600$	−1.15854	+	1.01601i	−0.0472970	+	0.0414784i
$601$	24.8720	+	37.2236i	1.01455	+	1.51838i	0.846349	+	0.532629i	$0.178796\pi$
$601$	24.8720	+	37.2236i	1.01455	+	1.51838i	0.168202	+	0.985753i	$0.446204\pi$
$602$	−13.7292	−	11.2943i	−0.559560	−	0.460320i
$603$	−4.33914	+	1.79733i	−0.176703	+	0.0731930i
$604$	−3.82228	+	4.98129i	−0.155526	+	0.202686i
$605$	−7.30184	+	8.32615i	−0.296862	+	0.338506i
$606$	−11.5787	+	0.758907i	−0.470352	+	0.0308285i
$607$	23.3640	+	26.6415i	0.948314	+	1.08135i	0.996590	+	0.0825113i	$0.0262941\pi$
$607$	23.3640	+	26.6415i	0.948314	+	1.08135i	−0.0482757	+	0.998834i	$0.515373\pi$
$608$	0.177982	+	0.177982i	0.00721814	+	0.00721814i
$609$	−12.5930	+	20.1982i	−0.510293	+	0.818472i
$610$	2.46717	+	1.02194i	0.0998929	+	0.0413770i
$611$	−26.8605	+	15.5079i	−1.08666	+	0.627383i
$612$	0.742931	+	1.49297i	0.0300312	+	0.0603498i
$613$	−9.53616	+	16.5171i	−0.385162	+	0.667120i	−0.991792	−	0.127865i	$-0.959188\pi$
$613$	−9.53616	+	16.5171i	−0.385162	+	0.667120i	0.606630	+	0.794984i	$0.292521\pi$
$614$	3.85738	+	29.2997i	0.155671	+	1.18244i
$615$	9.80963	−	14.6812i	0.395563	−	0.592001i
$616$	21.8059	−	23.2271i	0.878584	−	0.935848i
$617$	−19.4061	+	3.86012i	−0.781261	+	0.155402i	−0.569580	−	0.821936i	$-0.692894\pi$
$617$	−19.4061	+	3.86012i	−0.781261	+	0.155402i	−0.211682	+	0.977339i	$0.567894\pi$
$618$	11.5403	+	5.69104i	0.464219	+	0.228927i
$619$	−0.915626	−	0.802982i	−0.0368021	−	0.0322746i	0.640747	−	0.767752i	$-0.278625\pi$
$619$	−0.915626	−	0.802982i	−0.0368021	−	0.0322746i	−0.677549	+	0.735477i	$0.736958\pi$
$620$	1.07154	−	8.13912i	0.0430339	−	0.326875i
$621$	−0.804902	−	0.617623i	−0.0322996	−	0.0247844i
$622$	3.62203	+	0.720466i	0.145230	+	0.0288881i
$623$	26.6602	−	2.59418i	1.06812	−	0.103934i
$624$	−2.33316	−	11.7296i	−0.0934010	−	0.469558i
$625$	26.3498	+	7.06042i	1.05399	+	0.282417i
$626$	−13.9373	+	6.87311i	−0.557046	+	0.274705i
$627$	−0.351848	+	0.269982i	−0.0140514	+	0.0107821i
$628$	3.76374	+	6.51898i	0.150189	+	0.260136i
$629$	14.3283	+	14.2257i	0.571307	+	0.567217i
$630$	4.13374	+	6.66505i	0.164692	+	0.265542i
$631$	2.88055	−	6.95425i	0.114673	−	0.276844i	−0.856115	−	0.516786i	$-0.827128\pi$
$631$	2.88055	−	6.95425i	0.114673	−	0.276844i	0.970787	+	0.239942i	$0.0771283\pi$
$632$	2.02043	−	30.8257i	0.0803682	−	1.22618i
$633$	2.78971	+	10.4113i	0.110881	+	0.413813i
$634$	8.33882	−	24.5654i	0.331177	−	0.975616i
$635$	6.90672	−	14.0054i	0.274085	−	0.555789i
$636$	0.398736	−	2.00458i	0.0158109	−	0.0794868i
$637$	27.5881	+	1.87332i	1.09308	+	0.0742238i
$638$	−17.2415	−	41.6248i	−0.682599	−	1.64794i
$639$	12.2782	−	4.16790i	0.485719	−	0.164880i
$640$	1.03424	+	15.7794i	0.0408818	+	0.623736i
$641$	−34.3780	−	11.6697i	−1.35785	−	0.460927i	−0.454849	−	0.890569i	$-0.650307\pi$
$641$	−34.3780	−	11.6697i	−1.35785	−	0.460927i	−0.903000	+	0.429641i	$0.858640\pi$
$642$	1.23174	−	4.59691i	0.0486128	−	0.181425i
$643$	−36.6422	−	24.4835i	−1.44503	−	0.965536i	−0.997456	−	0.0712867i	$-0.977289\pi$
$643$	−36.6422	−	24.4835i	−1.44503	−	0.965536i	−0.447570	−	0.894249i	$-0.647711\pi$
$644$	1.07137	−	0.175591i	0.0422178	−	0.00691925i
$645$		−	12.4838i		−	0.491549i
$646$	−0.523422	−	0.255790i	−0.0205938	−	0.0100639i
$647$	−1.78066	−	1.02806i	−0.0700048	−	0.0404173i	0.464589	−	0.885526i	$-0.346202\pi$
$647$	−1.78066	−	1.02806i	−0.0700048	−	0.0404173i	−0.534594	+	0.845109i	$0.679535\pi$
$648$	1.84892	+	2.40956i	0.0726325	+	0.0946565i
$649$	19.4405	+	1.27420i	0.763107	+	0.0500167i
$650$	1.79009	−	1.79009i	0.0702131	−	0.0702131i
$651$	−21.8901	−	6.66837i	−0.857939	−	0.261354i
$652$	3.78998	−	2.53238i	0.148427	−	0.0991758i
$653$	0.0587209	+	0.172986i	0.00229793	+	0.00676948i	0.948073	−	0.318053i	$-0.103029\pi$
$653$	0.0587209	+	0.172986i	0.00229793	+	0.00676948i	−0.945775	+	0.324822i	$0.894696\pi$
$654$	14.2083	+	1.87056i	0.555589	+	0.0731447i
$655$	17.8703	+	2.35266i	0.698248	+	0.0919262i
$656$	−7.32195	−	21.5698i	−0.285874	−	0.842158i
$657$	−13.9768	+	9.33902i	−0.545288	+	0.364350i
$658$	−5.92846	−	25.5615i	−0.231116	−	0.996493i
$659$	−22.2419	+	22.2419i	−0.866423	+	0.866423i	−0.992074	−	0.125652i	$-0.959898\pi$
$659$	−22.2419	+	22.2419i	−0.866423	+	0.866423i	0.125652	+	0.992074i	$0.459898\pi$
$660$	3.75510	+	0.246122i	0.146167	+	0.00958030i
$661$	10.0888	+	13.1479i	0.392407	+	0.511395i	0.947222	−	0.320579i	$-0.103877\pi$
$661$	10.0888	+	13.1479i	0.392407	+	0.511395i	−0.554815	+	0.831974i	$0.687211\pi$
$662$	0.816820	+	0.471591i	0.0317466	+	0.0183289i
$663$	−8.19423	−	14.0758i	−0.318237	−	0.546659i
$664$		−	34.5602i		−	1.34120i
$665$	0.649735	+	0.245415i	0.0251957	+	0.00951678i
$666$	5.14318	+	3.43657i	0.199294	+	0.133164i
$667$	2.36234	−	8.81638i	0.0914702	−	0.341371i
$668$	0.787711	+	0.267392i	0.0304774	+	0.0103457i
$669$	0.154831	+	2.36226i	0.00598611	+	0.0913304i
$670$	−13.1836	+	4.47521i	−0.509325	+	0.172893i
$671$	−1.36682	−	3.29978i	−0.0527653	−	0.127387i
$672$	−5.92404	−	0.590494i	−0.228525	−	0.0227788i
$673$	6.06211	−	30.4763i	0.233677	−	1.17477i	−0.668601	−	0.743621i	$-0.733107\pi$
$673$	6.06211	−	30.4763i	0.233677	−	1.17477i	0.902278	−	0.431154i	$-0.141893\pi$
$674$	18.7711	−	38.0640i	0.723035	−	1.46617i
$675$	−0.163084	+	0.480431i	−0.00627712	+	0.0184918i
$676$	−0.272622	−	1.01744i	−0.0104855	−	0.0391323i
$677$	−0.148949	+	2.27253i	−0.00572458	+	0.0873403i	−0.999765	−	0.0216703i	$-0.993102\pi$
$677$	−0.148949	+	2.27253i	−0.00572458	+	0.0873403i	0.994041	+	0.109011i	$0.0347682\pi$
$678$	3.11829	−	7.52822i	0.119757	−	0.289120i
$679$	−20.0481	+	12.4340i	−0.769374	+	0.477175i
$680$	11.3437	+	27.1102i	0.435010	+	1.03963i
$681$	−6.23614	−	10.8013i	−0.238970	−	0.413907i
$682$	34.3638	−	26.3683i	1.31586	−	1.00969i
$683$	36.7207	−	18.1086i	1.40508	−	0.692907i	0.427604	−	0.903966i	$-0.359358\pi$
$683$	36.7207	−	18.1086i	1.40508	−	0.692907i	0.977473	+	0.211059i	$0.0676912\pi$
$684$	0.0437007	+	0.0117096i	0.00167094	+	0.000447727i
$685$	1.07299	+	5.39428i	0.0409968	+	0.206105i
$686$	−8.31759	+	21.8653i	−0.317567	+	0.834820i
$687$	−7.91936	−	1.57526i	−0.302143	−	0.0600999i
$688$	−12.7769	−	9.80410i	−0.487117	−	0.373778i
$689$	−2.60556	+	19.7912i	−0.0992638	+	0.753984i
$690$	−2.26114	−	1.98297i	−0.0860803	−	0.0754904i
$691$	−27.4509	−	13.5373i	−1.04428	−	0.514982i	−0.162532	−	0.986703i	$-0.551966\pi$
$691$	−27.4509	−	13.5373i	−1.04428	−	0.514982i	−0.881748	+	0.471721i	$0.843633\pi$
$692$	−1.93240	+	0.384378i	−0.0734588	+	0.0146119i
$693$	2.39395	−	10.2128i	0.0909386	−	0.387953i
$694$	7.02372	−	10.5117i	0.266617	−	0.399020i
$695$	−5.06423	−	38.4666i	−0.192097	−	1.45912i
$696$	−13.6619	+	23.6631i	−0.517853	+	0.896947i
$697$	−18.9731	−	24.5432i	−0.718659	−	0.929641i
$698$	4.44908	−	2.56868i	0.168400	−	0.0972260i
$699$	19.8851	+	8.23668i	0.752124	+	0.311540i
$700$	−0.255365	−	0.479108i	−0.00965190	−	0.0181086i
$701$	14.0877	+	14.0877i	0.532086	+	0.532086i	0.921193	−	0.389107i	$-0.127216\pi$
$701$	14.0877	+	14.0877i	0.532086	+	0.532086i	−0.389107	+	0.921193i	$0.627216\pi$
$702$	−3.28996	−	3.75148i	−0.124171	−	0.141590i
$703$	0.546608	−	0.0358266i	0.0206157	−	0.00135123i
$704$	23.2587	−	26.5214i	0.876594	−	0.999563i
$705$	11.2171	−	14.6184i	0.422459	−	0.550559i
$706$	4.19931	−	1.73941i	0.158043	−	0.0654637i
$707$	3.98724	−	23.9751i	0.149956	−	0.901676i
$708$	−1.10417	−	1.65250i	−0.0414971	−	0.0621048i
$709$	−23.1526	+	20.3043i	−0.869513	+	0.762542i	−0.972687	−	0.232121i	$-0.925434\pi$
$709$	−23.1526	+	20.3043i	−0.869513	+	0.762542i	0.103174	+	0.994663i	$0.467100\pi$
$710$	37.1268	−	9.94811i	1.39335	−	0.373346i
$711$	−4.49862	−	9.12229i	−0.168711	−	0.342113i
$712$	30.4860	−	4.01356i	1.14251	−	0.150415i
$713$	8.77495			0.328625
$714$	13.4118	−	3.16139i	0.501923	−	0.118312i
$715$	−36.7541			−1.37453
$716$	−9.62210	+	1.26677i	−0.359595	+	0.0473415i
$717$	13.3195	+	27.0093i	0.497426	+	1.00868i
$718$	−2.68762	+	0.720144i	−0.100301	+	0.0268756i
$719$	26.7767	−	23.4825i	0.998601	−	0.875749i	0.00634725	−	0.999980i	$-0.497980\pi$
$719$	26.7767	−	23.4825i	0.998601	−	0.875749i	0.992253	+	0.124231i	$0.0396463\pi$
$720$	3.94726	+	5.90750i	0.147106	+	0.220159i
$721$	−17.1222	+	20.8136i	−0.637665	+	0.775138i
$722$	22.1584	−	9.17829i	0.824649	−	0.341581i
$723$	11.7309	−	15.2880i	0.436277	−	0.568567i
$724$	−4.02442	+	4.58897i	−0.149566	+	0.170548i
$725$	−4.55462	+	0.298525i	−0.169154	+	0.0110870i
$726$	3.93020	+	4.48154i	0.145864	+	0.166326i
$727$	8.62599	+	8.62599i	0.319920	+	0.319920i	0.848736	−	0.528816i	$-0.177364\pi$
$727$	8.62599	+	8.62599i	0.319920	+	0.319920i	−0.528816	+	0.848736i	$0.677364\pi$
$728$	31.7244	+	1.07586i	1.17578	+	0.0398739i
$729$	0.923880	+	0.382683i	0.0342178	+	0.0141735i
$730$	−43.1538	+	24.9149i	−1.59719	+	0.922141i
$731$	−20.7943	−	6.97550i	−0.769104	−	0.257998i
$732$	−0.182179	+	0.315542i	−0.00673351	+	0.0116628i
$733$	2.81610	+	21.3904i	0.104015	+	0.790072i	0.961353	+	0.275318i	$0.0887832\pi$
$733$	2.81610	+	21.3904i	0.104015	+	0.790072i	−0.857338	+	0.514753i	$0.827883\pi$
$734$	−20.3390	+	30.4394i	−0.750724	+	1.12354i
$735$	−15.5680	+	5.24386i	−0.574234	+	0.193423i
$736$	2.23906	−	0.445377i	0.0825330	−	0.0164168i
$737$	16.7006	+	8.23581i	0.615173	+	0.303370i
$738$	−7.14533	−	6.26629i	−0.263023	−	0.230665i
$739$	3.93111	−	29.8597i	0.144608	−	1.09841i	−0.753128	−	0.657874i	$-0.771456\pi$
$739$	3.93111	−	29.8597i	0.144608	−	1.09841i	0.897736	−	0.440534i	$-0.145211\pi$
$740$	−3.68755	−	2.82956i	−0.135557	−	0.104017i
$741$	−0.433384	−	0.0862054i	−0.0159207	−	0.00316683i
$742$	−15.3747	−	6.98796i	−0.564422	−	0.256536i
$743$	−5.01447	−	25.2095i	−0.183963	−	0.924845i	−0.956912	−	0.290377i	$-0.906219\pi$
$743$	−5.01447	−	25.2095i	−0.183963	−	0.924845i	0.772949	−	0.634468i	$-0.218781\pi$
$744$	−25.3737	−	6.79885i	−0.930244	−	0.249258i
$745$	8.79053	−	4.33501i	0.322060	−	0.158822i
$746$	26.2049	−	20.1077i	0.959428	−	0.736195i
$747$	−5.68951	−	9.85453i	−0.208168	−	0.360558i
$748$	2.50819	−	6.11736i	0.0917084	−	0.223673i
$749$	8.78563	+	4.70930i	0.321020	+	0.172074i
$750$	5.09645	−	12.3039i	0.186096	−	0.449276i
$751$	0.469677	−	7.16589i	0.0171388	−	0.261487i	−0.980687	−	0.195583i	$-0.937340\pi$
$751$	0.469677	−	7.16589i	0.0171388	−	0.261487i	0.997826	−	0.0659041i	$-0.0209932\pi$
$752$	−6.15237	−	22.9609i	−0.224354	−	0.837300i
$753$	−4.33422	+	12.7682i	−0.157948	+	0.465300i
$754$	19.8542	−	40.2604i	0.723048	−	1.46620i
$755$	−7.10744	+	35.7315i	−0.258666	+	1.30040i
$756$	−0.975219	+	0.440486i	−0.0354684	+	0.0160203i
$757$	−7.35364	−	17.7533i	−0.267273	−	0.645253i	0.732080	−	0.681218i	$-0.238549\pi$
$757$	−7.35364	−	17.7533i	−0.267273	−	0.645253i	−0.999353	+	0.0359651i	$0.988549\pi$
$758$	29.2206	−	9.91904i	1.06134	−	0.360276i
$759$	0.263080	+	4.01382i	0.00954918	+	0.145692i
$760$	0.754982	+	0.256282i	0.0273861	+	0.00929632i
$761$	6.37786	−	23.8025i	0.231197	−	0.862840i	−0.748629	−	0.662989i	$-0.769288\pi$
$761$	6.37786	−	23.8025i	0.231197	−	0.862840i	0.979826	−	0.199851i	$-0.0640458\pi$
$762$	−6.98868	−	4.66969i	−0.253173	−	0.169165i
$763$	−10.6065	+	28.0807i	−0.383982	+	1.01659i
$764$		−	5.86483i		−	0.212182i
$765$	7.69760	+	5.86276i	0.278307	+	0.211969i
$766$	−17.0780	−	9.85997i	−0.617052	−	0.356255i
$767$	11.8167	+	15.3998i	0.426676	+	0.556055i
$768$	−9.26329	−	0.607148i	−0.334260	−	0.0219086i
$769$	0.907247	−	0.907247i	0.0327162	−	0.0327162i	−0.690559	−	0.723276i	$-0.742636\pi$
$769$	0.907247	−	0.907247i	0.0327162	−	0.0327162i	0.723276	+	0.690559i	$0.242636\pi$
$770$	9.06128	−	29.7452i	0.326546	−	1.07194i
$771$	9.47673	−	6.33215i	0.341296	−	0.228047i
$772$	−1.71295	−	5.04619i	−0.0616504	−	0.181616i
$773$	18.6176	+	2.45106i	0.669630	+	0.0881584i	0.457673	−	0.889121i	$-0.348683\pi$
$773$	18.6176	+	2.45106i	0.669630	+	0.0881584i	0.211957	+	0.977279i	$0.432016\pi$
$774$	−6.66190	−	0.877056i	−0.239457	−	0.0315251i
$775$	−1.41052	−	4.15527i	−0.0506675	−	0.149262i
$776$	−22.5171	+	15.0455i	−0.808317	+	0.540100i
$777$	−9.46672	+	8.84569i	−0.339617	+	0.317338i
$778$	−12.5718	+	12.5718i	−0.450720	+	0.450720i
$779$	−0.839822	−	0.0550449i	−0.0300898	−	0.00197219i
$780$	2.28250	+	2.97461i	0.0817265	+	0.106508i
$781$	−44.5206	−	25.7040i	−1.59307	−	0.919760i
$782$	−4.56648	+	2.65838i	−0.163297	+	0.0950634i
$783$			8.99642i			0.321506i
$784$	−6.85926	+	20.0518i	−0.244973	+	0.716136i
$785$	36.3160	+	24.2656i	1.29617	+	0.866076i
$786$	2.51097	−	9.37106i	0.0895633	−	0.334255i
$787$	10.7977	+	3.66534i	0.384898	+	0.130655i	0.507180	−	0.861840i	$-0.330688\pi$
$787$	10.7977	+	3.66534i	0.384898	+	0.130655i	−0.122282	+	0.992495i	$0.539021\pi$
$788$	0.254715	+	3.88620i	0.00907384	+	0.138440i
$789$	10.2861	−	3.49168i	0.366197	−	0.124307i
$790$	−11.5382	−	27.8557i	−0.410512	−	0.991063i
$791$	13.8616	+	9.95776i	0.492862	+	0.354057i
$792$	2.34919	−	11.8102i	0.0834750	−	0.419657i
$793$	1.57393	−	3.19162i	0.0558920	−	0.113338i
$794$	2.25987	−	6.65735i	0.0801996	−	0.236260i
$795$	−3.06936	−	11.4550i	−0.108859	−	0.406268i
$796$	−0.0357045	+	0.544746i	−0.00126551	+	0.0193080i
$797$	−6.59333	+	15.9177i	−0.233548	+	0.563834i	−0.996590	−	0.0825146i	$-0.973705\pi$
$797$	−6.59333	+	15.9177i	−0.233548	+	0.563834i	0.763042	+	0.646349i	$0.223705\pi$
$798$	0.176612	−	0.329486i	0.00625198	−	0.0116637i
$799$	−18.0821	−	26.8525i	−0.639700	−	0.949974i
$800$	−0.570819	−	0.988688i	−0.0201815	−	0.0349554i
$801$	8.03207	−	6.16323i	0.283799	−	0.217767i
$802$	13.6133	−	6.71332i	0.480701	−	0.237056i
$803$	64.3751	+	17.2493i	2.27175	+	0.608713i
$804$	−0.370590	−	1.86308i	−0.0130697	−	0.0657058i
$805$	5.12473	−	3.66322i	0.180623	−	0.129112i
$806$	42.3272	+	8.41940i	1.49091	+	0.296561i
$807$	8.86987	+	6.80609i	0.312234	+	0.239586i
$808$	3.64170	−	27.6615i	0.128115	−	0.973127i
$809$	−11.5819	−	10.1571i	−0.407199	−	0.357104i	0.431110	−	0.902300i	$-0.358122\pi$
$809$	−11.5819	−	10.1571i	−0.407199	−	0.357104i	−0.838309	+	0.545195i	$0.816456\pi$
$810$	2.65862	+	1.31109i	0.0934146	+	0.0460670i
$811$	41.9513	−	8.34464i	1.47311	−	0.293020i	0.607733	−	0.794141i	$-0.292079\pi$
$811$	41.9513	−	8.34464i	1.47311	−	0.293020i	0.865377	+	0.501121i	$0.167079\pi$
$812$	−7.01862	−	6.58915i	−0.246305	−	0.231234i
$813$	7.89492	−	11.8156i	0.276887	−	0.414391i
$814$	−3.20107	−	24.3146i	−0.112198	−	0.852225i
$815$	13.2240	−	22.9046i	0.463217	−	0.802315i
$816$	12.0457	−	3.27406i	0.421684	−	0.114615i
$817$	−0.515325	+	0.297523i	−0.0180290	+	0.0104090i
$818$	−31.4062	−	13.0089i	−1.09809	−	0.454844i
$819$	9.22303	−	4.91589i	0.322279	−	0.171775i
$820$	5.04973	+	5.04973i	0.176344	+	0.176344i
$821$	15.8070	+	18.0244i	0.551667	+	0.629055i	0.958721	−	0.284349i	$-0.0917773\pi$
$821$	15.8070	+	18.0244i	0.551667	+	0.629055i	−0.407054	+	0.913404i	$0.633444\pi$
$822$	2.95401	−	0.193616i	0.103033	−	0.00675313i
$823$	−18.3935	+	20.9738i	−0.641158	+	0.731101i	−0.977569	−	0.210614i	$-0.932454\pi$
$823$	−18.3935	+	20.9738i	−0.641158	+	0.731101i	0.336411	+	0.941715i	$0.390787\pi$
$824$	−18.8343	+	24.5453i	−0.656124	+	0.855078i
$825$	1.85840	−	0.769776i	0.0647013	−	0.0268002i
$826$	−15.3764	+	5.76665i	−0.535013	+	0.200647i
$827$	18.4165	+	27.5623i	0.640406	+	0.958435i	0.999682	+	0.0252042i	$0.00802360\pi$
$827$	18.4165	+	27.5623i	0.640406	+	0.958435i	−0.359276	+	0.933231i	$0.616976\pi$
$828$	0.308511	−	0.270557i	0.0107215	−	0.00940251i
$829$	−13.2610	+	3.55327i	−0.460572	+	0.123410i	−0.481642	−	0.876368i	$-0.659959\pi$
$829$	−13.2610	+	3.55327i	−0.460572	+	0.123410i	0.0210697	+	0.999778i	$0.493293\pi$
$830$	−14.9189	−	30.2526i	−0.517843	−	1.05008i
$831$	−10.9777	+	1.44524i	−0.380811	+	0.0501347i
$832$	35.1465			1.21849
$833$	0.0358675	+	28.8617i	0.00124274	+	0.999999i
$834$	−20.8833			−0.723128
$835$	4.78542	−	0.630012i	0.165606	−	0.0218025i
$836$	−0.0793347	−	0.160875i	−0.00274385	−	0.00556397i
$837$	−8.35434	+	2.23854i	−0.288768	+	0.0773752i
$838$	−24.7206	+	21.6794i	−0.853959	+	0.748902i
$839$	−8.43751	−	12.6276i	−0.291295	−	0.435954i	0.656741	−	0.754116i	$-0.271934\pi$
$839$	−8.43751	−	12.6276i	−0.291295	−	0.435954i	−0.948036	+	0.318162i	$0.896934\pi$
$840$	−17.6569	+	6.62193i	−0.609223	+	0.228478i
$841$	−47.9822	+	19.8749i	−1.65456	+	0.685341i
$842$	−28.5487	+	37.2054i	−0.983853	+	1.28218i
$843$	−7.46810	+	8.51574i	−0.257215	+	0.293298i
$844$	−4.35011	+	0.285121i	−0.149737	+	0.00981428i
$845$	−4.02977	−	4.59508i	−0.138628	−	0.158075i
$846$	−7.01294	−	7.01294i	−0.241110	−	0.241110i
$847$	−11.0179	+	5.87255i	−0.378579	+	0.201783i
$848$	−14.1345	−	5.85471i	−0.485382	−	0.201052i
$849$	0.268501	−	0.155019i	0.00921494	−	0.00532025i
$850$	1.99288	+	1.73508i	0.0683551	+	0.0595128i
$851$	2.48415	−	4.30267i	0.0851555	−	0.147494i
$852$	0.684518	+	5.19943i	0.0234512	+	0.178130i
$853$	2.54917	−	3.81510i	0.0872818	−	0.130626i	−0.785260	−	0.619167i	$-0.787470\pi$
$853$	2.54917	−	3.81510i	0.0872818	−	0.130626i	0.872541	+	0.488540i	$0.162470\pi$
$854$	2.19495	+	2.06064i	0.0751098	+	0.0705138i
$855$	0.257467	−	0.0512134i	0.00880518	−	0.00175146i
$856$	10.2629	+	5.06109i	0.350778	+	0.172985i
$857$	34.3511	+	30.1251i	1.17341	+	1.02905i	0.999015	+	0.0443792i	$0.0141310\pi$
$857$	34.3511	+	30.1251i	1.17341	+	1.02905i	0.174397	+	0.984675i	$0.444202\pi$
$858$	−2.58218	+	19.6136i	−0.0881543	+	0.669598i
$859$	−31.4106	−	24.1022i	−1.07172	−	0.822358i	−0.0869460	−	0.996213i	$-0.527711\pi$
$859$	−31.4106	−	24.1022i	−1.07172	−	0.822358i	−0.984771	+	0.173856i	$0.944377\pi$
$860$	4.95210	+	0.985034i	0.168865	+	0.0335894i
$861$	16.1944	−	11.5760i	0.551904	−	0.394508i
$862$	9.74687	+	49.0008i	0.331980	+	1.66897i
$863$	−38.2751	−	10.2558i	−1.30290	−	0.349111i	−0.460355	−	0.887735i	$-0.652278\pi$
$863$	−38.2751	−	10.2558i	−1.30290	−	0.349111i	−0.842546	+	0.538624i	$0.818944\pi$
$864$	−2.01812	+	0.995226i	−0.0686578	+	0.0338583i
$865$	−9.06968	+	6.95941i	−0.308378	+	0.236627i
$866$	−8.33624	−	14.4388i	−0.283277	−	0.490650i
$867$	14.0668	−	9.54600i	0.477732	−	0.324199i
$868$	4.37246	−	8.15724i	0.148411	−	0.276875i
$869$	−15.4321	+	37.2564i	−0.523498	+	1.26384i
$870$	−1.74419	+	26.6112i	−0.0591337	+	0.902206i
$871$	4.80184	+	17.9207i	0.162704	+	0.607219i
$872$	−11.0762	+	32.6294i	−0.375087	+	1.10497i
$873$	−3.94367	+	7.99698i	−0.133473	+	0.270657i
$874$	−0.0279668	+	0.140599i	−0.000945991	+	0.00475582i
$875$	22.6551	+	16.2747i	0.765881	+	0.550185i
$876$	−2.60178	−	6.28126i	−0.0879061	−	0.212224i
$877$	23.9682	−	8.13610i	0.809348	−	0.274737i	0.114065	−	0.993473i	$-0.463613\pi$
$877$	23.9682	−	8.13610i	0.809348	−	0.274737i	0.695282	+	0.718737i	$0.255279\pi$
$878$	−3.13991	−	47.9058i	−0.105967	−	1.61674i
$879$	14.3570	+	4.87355i	0.484250	+	0.164381i
$880$	7.29063	−	27.2090i	0.245767	−	0.917216i
$881$	38.7483	+	25.8908i	1.30546	+	0.872282i	0.996881	−	0.0789158i	$-0.0251458\pi$
$881$	38.7483	+	25.8908i	1.30546	+	0.872282i	0.308581	+	0.951198i	$0.400146\pi$
$882$	1.70462	+	8.67618i	0.0573975	+	0.292142i
$883$		−	31.9956i		−	1.07674i	−0.842709	−	0.538369i	$-0.819041\pi$
$883$		−	31.9956i		−	1.07674i	0.842709	−	0.538369i	$-0.180959\pi$
$884$	6.23019	−	2.13985i	0.209544	−	0.0719711i
$885$	−9.98686	−	5.76591i	−0.335704	−	0.193819i
$886$	21.5412	+	28.0731i	0.723692	+	0.943134i
$887$	−21.2554	−	1.39315i	−0.713687	−	0.0467775i	−0.295765	−	0.955261i	$-0.595575\pi$
$887$	−21.2554	−	1.39315i	−0.713687	−	0.0467775i	−0.417922	+	0.908483i	$0.637241\pi$
$888$	−10.5169	+	10.5169i	−0.352924	+	0.352924i
$889$	12.8636	−	12.0197i	0.431431	−	0.403129i
$890$	24.9536	−	16.6735i	0.836447	−	0.558896i
$891$	−1.27442	−	3.75431i	−0.0426945	−	0.125774i
$892$	−0.949285	−	0.124976i	−0.0317844	−	0.00418450i
$893$	−0.870773	−	0.114639i	−0.0291393	−	0.00383626i
$894$	−1.69577	−	4.99557i	−0.0567150	−	0.167077i
$895$	−46.8220	+	31.2855i	−1.56509	+	1.04576i
$896$	−5.19519	+	17.0541i	−0.173559	+	0.569738i
$897$	−2.83390	+	2.83390i	−0.0946211	+	0.0946211i
$898$	−41.0437	−	2.69015i	−1.36965	−	0.0897714i
$899$	−47.3680	−	61.7312i	−1.57981	−	2.05885i
$900$	−0.177710	−	0.102601i	−0.00592368	−	0.00342004i
$901$	−20.7957	−	1.28802i	−0.692805	−	0.0429101i
$902$			37.6798i			1.25460i
$903$	4.97311	−	13.1663i	0.165495	−	0.438147i
$904$	16.2907	+	10.8851i	0.541821	+	0.362033i
$905$	−9.16618	+	34.2086i	−0.304694	+	1.13713i
$906$	18.5686	+	6.30318i	0.616900	+	0.209409i
$907$	3.14889	+	48.0428i	0.104557	+	1.59524i	0.651885	+	0.758318i	$0.273978\pi$
$907$	3.14889	+	48.0428i	0.104557	+	1.59524i	−0.547328	+	0.836918i	$0.684355\pi$
$908$	4.77676	−	1.62149i	0.158522	−	0.0538111i
$909$	−3.51540	−	8.48693i	−0.116599	−	0.281494i
$910$	28.2346	−	12.7530i	0.935969	−	0.422757i
$911$	7.56144	−	38.0139i	0.250522	−	1.25946i	−0.626658	−	0.779295i	$-0.715578\pi$
$911$	7.56144	−	38.0139i	0.250522	−	1.25946i	0.877179	−	0.480163i	$-0.159422\pi$
$912$	0.149785	−	0.303733i	0.00495986	−	0.0100576i
$913$	−14.5016	+	42.7204i	−0.479933	+	1.41384i
$914$	8.10755	+	30.2578i	0.268174	+	1.00084i
$915$	−0.138270	+	2.10959i	−0.00457107	+	0.0697410i
$916$	1.24976	−	3.01718i	0.0412931	−	0.0996903i
$917$	17.9100	+	9.60018i	0.591441	+	0.317026i
$918$	3.66943	−	3.69589i	0.121109	−	0.121982i
$919$	3.03287	+	5.25308i	0.100045	+	0.173283i	0.911703	−	0.410850i	$-0.134768\pi$
$919$	3.03287	+	5.25308i	0.100045	+	0.173283i	−0.811658	+	0.584133i	$0.801435\pi$
$920$	5.73701	−	4.40217i	0.189144	−	0.145135i
$921$	−20.9832	+	10.3478i	−0.691419	+	0.340970i
$922$	−32.4611	−	8.69792i	−1.06905	−	0.286451i
$923$	−9.99255	−	50.2359i	−0.328909	−	1.65354i
$924$	3.86235	+	1.75548i	0.127062	+	0.0577511i
$925$	−2.43679	−	0.484707i	−0.0801211	−	0.0159371i
$926$	9.71931	+	7.45789i	0.319396	+	0.245082i
$927$	−1.32962	+	10.0995i	−0.0436706	+	0.331711i
$928$	−15.2199	−	13.3475i	−0.499617	−	0.438152i
$929$	35.6359	+	17.5737i	1.16918	+	0.576574i	0.920013	−	0.391888i	$-0.128178\pi$
$929$	35.6359	+	17.5737i	1.16918	+	0.576574i	0.249163	+	0.968462i	$0.419845\pi$
$930$	−25.1460	+	5.00184i	−0.824569	+	0.164017i
$931$	0.587493	+	0.517664i	0.0192543	+	0.0169658i
$932$	−4.83638	+	7.23816i	−0.158421	+	0.237094i
$933$	0.381611	+	2.89862i	0.0124934	+	0.0948967i
$934$	4.11721	−	7.13121i	0.134719	−	0.233340i
$935$	−2.64653	−	38.2712i	−0.0865507	−	1.25160i
$936$	10.3902	−	5.99879i	0.339615	−	0.196077i
$937$	2.55471	+	1.05819i	0.0834586	+	0.0345697i	0.424022	−	0.905652i	$-0.360618\pi$
$937$	2.55471	+	1.05819i	0.0834586	+	0.0345697i	−0.340564	+	0.940221i	$0.610618\pi$
$938$	−15.6871	−	0.531991i	−0.512202	−	0.0173701i
$939$	−8.69918	−	8.69918i	−0.283887	−	0.283887i
$940$	4.91377	+	5.60308i	0.160269	+	0.182752i
$941$	8.38271	−	0.549432i	0.273269	−	0.0179110i	0.0718472	−	0.997416i	$-0.477111\pi$
$941$	8.38271	−	0.549432i	0.273269	−	0.0179110i	0.201421	+	0.979505i	$0.435444\pi$
$942$	15.5006	−	17.6750i	0.505036	−	0.575884i
$943$	−4.64693	+	6.05599i	−0.151325	+	0.197210i
$944$	−13.7444	+	5.69314i	−0.447344	+	0.185296i
$945$	−3.94457	+	4.79498i	−0.128317	+	0.155981i
$946$	14.8006	+	22.1507i	0.481211	+	0.720182i
$947$	11.3626	−	9.96472i	0.369234	−	0.323810i	−0.454541	−	0.890726i	$-0.650197\pi$
$947$	11.3626	−	9.96472i	0.369234	−	0.323810i	0.823776	+	0.566916i	$0.191863\pi$
$948$	3.97362	−	1.06473i	0.129057	−	0.0345807i
$949$	29.3691	+	59.5547i	0.953362	+	1.93323i
$950$	0.0710742	−	0.00935710i	0.00230595	−	0.000303584i
$951$	20.5377			0.665979
$952$	1.16409	+	33.1113i	0.0377284	+	1.07314i
$953$	31.5463			1.02189			0.510943	−	0.859615i	$-0.329296\pi$
$953$	31.5463			1.02189			0.510943	+	0.859615i	$0.329296\pi$
$954$	−6.32854	+	0.833168i	−0.204894	+	0.0269748i
$955$	−15.0509	−	30.5203i	−0.487037	−	0.987613i
$956$	−11.7651	+	3.15245i	−0.380510	+	0.101957i
$957$	26.8168	−	23.5177i	0.866864	−	0.760220i
$958$	−14.9378	−	22.3559i	−0.482617	−	0.722288i
$959$	−1.01724	+	6.11663i	−0.0328485	+	0.197516i
$960$	−19.2906	+	7.99044i	−0.622602	+	0.257890i
$961$	26.6674	−	34.7536i	0.860239	−	1.12109i
$962$	16.1110	−	18.3710i	0.519438	−	0.592306i
$963$	3.75956	−	0.246414i	0.121150	−	0.00794059i
$964$	5.13886	+	5.85974i	0.165511	+	0.188730i
$965$	−21.8642	−	21.8642i	−0.703832	−	0.703832i
$966$	−1.59482	−	2.99214i	−0.0513124	−	0.0962706i
$967$	−27.0401	−	11.2004i	−0.869552	−	0.360180i	−0.0971162	−	0.995273i	$-0.530962\pi$
$967$	−27.0401	−	11.2004i	−0.869552	−	0.360180i	−0.772436	+	0.635093i	$0.780962\pi$
$968$	−12.4122	+	7.16619i	−0.398943	+	0.230330i
$969$	0.0585573	−	0.457479i	0.00188113	−	0.0146964i
$970$	−13.2157	+	22.8903i	−0.424332	+	0.734964i
$971$	4.80558	+	36.5020i	0.154218	+	1.17141i	0.877056	+	0.480388i	$0.159504\pi$
$971$	4.80558	+	36.5020i	0.154218	+	1.17141i	−0.722838	+	0.691018i	$0.757163\pi$
$972$	−0.224703	+	0.336291i	−0.00720734	+	0.0107865i
$973$	9.98267	−	42.5871i	0.320030	−	1.36528i
$974$	−22.8312	+	4.54141i	−0.731559	+	0.145516i
$975$	1.79749	+	0.886424i	0.0575657	+	0.0283883i
$976$	2.05054	+	1.79828i	0.0656363	+	0.0575615i
$977$	4.63647	−	35.2175i	0.148334	−	1.12671i	−0.741673	−	0.670761i	$-0.765968\pi$
$977$	4.63647	−	35.2175i	0.148334	−	1.12671i	0.890007	−	0.455946i	$-0.150699\pi$
$978$	−11.2939	−	8.66609i	−0.361138	−	0.277111i
$979$	−39.3683	−	7.83085i	−1.25822	−	0.250275i
$980$	−0.851755	−	6.58932i	−0.0272083	−	0.210488i
$981$	2.21338	+	11.1274i	0.0706677	+	0.355270i
$982$	11.0596	+	2.96342i	0.352927	+	0.0945664i
$983$	−14.1479	+	6.97697i	−0.451248	+	0.222531i	−0.653689	−	0.756764i	$-0.726779\pi$
$983$	−14.1479	+	6.97697i	−0.451248	+	0.222531i	0.202441	+	0.979295i	$0.435113\pi$
$984$	18.1293	−	13.9111i	0.577940	−	0.443469i
$985$	11.2987	+	19.5699i	0.360006	+	0.623549i
$986$	43.3518	+	17.7747i	1.38060	+	0.566063i
$987$	17.6538	−	10.9491i	0.561926	−	0.348513i
$988$	0.0683923	−	0.165114i	0.00217585	−	0.00525296i
$989$	−0.352980	+	5.38543i	−0.0112241	+	0.171247i
$990$	−3.04183	−	11.3523i	−0.0966756	−	0.360798i
$991$	12.0725	−	35.5644i	0.383495	−	1.12974i	−0.568251	−	0.822855i	$-0.692380\pi$
$991$	12.0725	−	35.5644i	0.383495	−	1.12974i	0.951747	−	0.306885i	$-0.0992868\pi$
$992$	8.60776	−	17.4548i	0.273297	−	0.554190i
$993$	−0.145672	+	0.732344i	−0.00462277	+	0.0232402i
$994$	43.1196	+	4.29806i	1.36767	+	0.136326i
$995$	1.21218	+	2.92646i	0.0384287	+	0.0927750i
$996$	4.35805	−	1.47936i	0.138090	−	0.0468753i
$997$	1.59408	+	24.3210i	0.0504851	+	0.770254i	0.945786	+	0.324792i	$0.105294\pi$
$997$	1.59408	+	24.3210i	0.0504851	+	0.770254i	−0.895301	+	0.445463i	$0.853039\pi$
$998$	21.8896	+	7.43053i	0.692905	+	0.235209i
$999$	−1.26744	+	4.73015i	−0.0401000	+	0.149655i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	357.2.bl.a.10.18	✓	384
7.5	odd	6	inner	357.2.bl.a.61.7	yes	384
17.12	odd	16	inner	357.2.bl.a.199.7	yes	384
119.12	even	48	inner	357.2.bl.a.250.18	yes	384

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
357.2.bl.a.10.18	✓	384	1.1	even	1	trivial
357.2.bl.a.61.7	yes	384	7.5	odd	6	inner
357.2.bl.a.199.7	yes	384	17.12	odd	16	inner
357.2.bl.a.250.18	yes	384	119.12	even	48	inner

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

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	357.2.bl.a.10.18

Level	$357$
Weight	$2$
Character	357.10
Analytic conductor	$2.851$
Analytic rank	$0$
Dimension	$384$
Inner twists	$4$