LMFDB - Embedded newform 990.2.bg.a.961.9

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [990,2,Mod(31,990)] 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("990.31"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(990, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([10, 0, 18])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 990 = 2 \cdot 3^{2} \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	990.bg (of order $15$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [88,11,-8] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(3)] == traces)

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

Self dual:	no
Analytic conductor:	$7.90518980011$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$11$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			961.9
Character	$\chi$	$=$	990.961
Dual form			990.2.bg.a.751.9

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.913545 - 0.406737i) q^{2} +(1.57240 - 0.726338i) q^{3} +(0.669131 - 0.743145i) q^{4} +(0.913545 + 0.406737i) q^{5} +(1.14103 - 1.30309i) q^{6} +(-4.74797 - 1.00921i) q^{7} +(0.309017 - 0.951057i) q^{8} +(1.94487 - 2.28418i) q^{9} +1.00000 q^{10} +(0.272502 - 3.30541i) q^{11} +(0.512365 - 1.65453i) q^{12} +(0.108362 - 1.03099i) q^{13} +(-4.74797 + 1.00921i) q^{14} +(1.73188 - 0.0239907i) q^{15} +(-0.104528 - 0.994522i) q^{16} +(5.36196 - 3.89569i) q^{17} +(0.847664 - 2.87775i) q^{18} +(-1.19530 + 3.67875i) q^{19} +(0.913545 - 0.406737i) q^{20} +(-8.19873 + 1.86175i) q^{21} +(-1.09549 - 3.13048i) q^{22} +(1.73527 + 3.00558i) q^{23} +(-0.204891 - 1.71989i) q^{24} +(0.669131 + 0.743145i) q^{25} +(-0.320349 - 0.985934i) q^{26} +(1.39902 - 5.00427i) q^{27} +(-3.92700 + 2.85314i) q^{28} +(-6.60225 - 1.40335i) q^{29} +(1.57240 - 0.726338i) q^{30} +(0.789195 - 7.50869i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-1.97236 - 5.39535i) q^{33} +(3.31387 - 5.73980i) q^{34} +(-3.92700 - 2.85314i) q^{35} +(-0.396108 - 2.97373i) q^{36} +(1.14144 + 3.51298i) q^{37} +(0.404323 + 3.84688i) q^{38} +(-0.578462 - 1.69984i) q^{39} +(0.669131 - 0.743145i) q^{40} +(10.9334 - 2.32396i) q^{41} +(-6.73267 + 5.03551i) q^{42} +(-4.30459 + 7.45578i) q^{43} +(-2.27406 - 2.41426i) q^{44} +(2.70579 - 1.29566i) q^{45} +(2.80773 + 2.03993i) q^{46} +(2.86860 + 3.18590i) q^{47} +(-0.886719 - 1.48786i) q^{48} +(15.1299 + 6.73627i) q^{49} +(0.913545 + 0.406737i) q^{50} +(5.60155 - 10.0202i) q^{51} +(-0.693669 - 0.770398i) q^{52} +(0.579223 + 0.420830i) q^{53} +(-0.757356 - 5.14066i) q^{54} +(1.59338 - 2.90881i) q^{55} +(-2.42702 + 4.20373i) q^{56} +(0.792530 + 6.65265i) q^{57} +(-6.60225 + 1.40335i) q^{58} +(-8.19337 + 9.09965i) q^{59} +(1.14103 - 1.30309i) q^{60} +(-0.348955 - 3.32009i) q^{61} +(-2.33309 - 7.18053i) q^{62} +(-11.5394 + 8.88245i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(0.518336 - 0.897785i) q^{65} +(-3.99633 - 4.12666i) q^{66} +(2.20207 + 3.81410i) q^{67} +(0.692788 - 6.59144i) q^{68} +(4.91160 + 3.46557i) q^{69} +(-4.74797 - 1.00921i) q^{70} +(-0.537178 + 0.390282i) q^{71} +(-1.57139 - 2.55553i) q^{72} +(2.15909 + 6.64500i) q^{73} +(2.47161 + 2.74500i) q^{74} +(1.59191 + 0.682504i) q^{75} +(1.93403 + 3.34984i) q^{76} +(-4.62970 + 15.4190i) q^{77} +(-1.21984 - 1.31760i) q^{78} +(-2.67432 + 1.19068i) q^{79} +(0.309017 - 0.951057i) q^{80} +(-1.43498 - 8.88487i) q^{81} +(9.04290 - 6.57005i) q^{82} +(0.785529 + 7.47381i) q^{83} +(-4.10247 + 7.33859i) q^{84} +(6.48292 - 1.37799i) q^{85} +(-0.899905 + 8.56203i) q^{86} +(-11.4007 + 2.58884i) q^{87} +(-3.05942 - 1.28059i) q^{88} +9.51896 q^{89} +(1.94487 - 2.28418i) q^{90} +(-1.55499 + 4.78577i) q^{91} +(3.39470 + 0.721566i) q^{92} +(-4.21292 - 12.3799i) q^{93} +(3.91642 + 1.74370i) q^{94} +(-2.58824 + 2.87453i) q^{95} +(-1.41523 - 0.998567i) q^{96} +(6.30792 - 2.80847i) q^{97} +16.5617 q^{98} +(-7.02018 - 7.05103i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q + 11 q^{2} - 8 q^{3} + 11 q^{4} + 11 q^{5} + q^{6} - 2 q^{7} - 22 q^{8} + 6 q^{9} + 88 q^{10} + 3 q^{11} + 2 q^{12} + 2 q^{13} - 2 q^{14} + 7 q^{15} + 11 q^{16} + 18 q^{17} - 6 q^{18} + 12 q^{19}+ \cdots - 128 q^{99}+O(q^{100}) $ 88 * q + 11 * q^2 - 8 * q^3 + 11 * q^4 + 11 * q^5 + q^6 - 2 * q^7 - 22 * q^8 + 6 * q^9 + 88 * q^10 + 3 * q^11 + 2 * q^12 + 2 * q^13 - 2 * q^14 + 7 * q^15 + 11 * q^16 + 18 * q^17 - 6 * q^18 + 12 * q^19 + 11 * q^20 + 36 * q^21 + 3 * q^22 + 46 * q^23 + 7 * q^24 + 11 * q^25 + 26 * q^26 + 16 * q^27 + 4 * q^28 - 9 * q^29 - 8 * q^30 - 20 * q^31 - 44 * q^32 + 35 * q^33 + 26 * q^34 + 4 * q^35 + 15 * q^36 + 4 * q^37 + 4 * q^38 - 33 * q^39 + 11 * q^40 + 22 * q^41 - 29 * q^42 - 2 * q^43 + 14 * q^44 + 8 * q^46 - 16 * q^47 + q^48 - 5 * q^49 + 11 * q^50 - 13 * q^51 - 13 * q^52 + 64 * q^53 - 4 * q^54 + 4 * q^55 + 8 * q^56 - 25 * q^57 - 9 * q^58 - 27 * q^59 + q^60 + 4 * q^61 + q^63 - 22 * q^64 + 22 * q^65 + 40 * q^66 - 6 * q^67 - 9 * q^68 - 54 * q^69 - 2 * q^70 + 52 * q^71 + 6 * q^72 - 22 * q^73 - 2 * q^74 + q^75 + 4 * q^76 + 12 * q^77 - 32 * q^78 + 2 * q^79 - 22 * q^80 - 30 * q^81 + 36 * q^82 + 33 * q^83 + 8 * q^84 - 4 * q^85 - 17 * q^86 - 192 * q^87 + 3 * q^88 - 76 * q^89 + 6 * q^90 - 24 * q^91 - 19 * q^92 - 28 * q^93 - q^94 - 6 * q^95 + 7 * q^96 - 38 * q^97 - 128 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/990\mathbb{Z}\right)^\times$.

$n$	$397$	$541$	$551$
$\chi(n)$	$1$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	0.913545	−	0.406737i	0.645974	−	0.287606i
$2$	0.913545	−	0.406737i	0.645974	−	0.287606i
$3$	1.57240	−	0.726338i	0.907824	−	0.419351i
$3$	1.57240	−	0.726338i	0.907824	−	0.419351i
$4$	0.669131	−	0.743145i	0.334565	−	0.371572i
$5$	0.913545	+	0.406737i	0.408550	+	0.181898i
$5$	0.913545	+	0.406737i	0.408550	+	0.181898i
$6$	1.14103	−	1.30309i	0.465823	−	0.531986i
$7$	−4.74797	−	1.00921i	−1.79456	−	0.381446i	−0.814506	−	0.580155i	$-0.802992\pi$
$7$	−4.74797	−	1.00921i	−1.79456	−	0.381446i	−0.980059	+	0.198709i	$0.936325\pi$
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	1.94487	−	2.28418i	0.648289	−	0.761394i
$10$	1.00000			0.316228
$11$	0.272502	−	3.30541i	0.0821626	−	0.996619i
$11$	0.272502	−	3.30541i	0.0821626	−	0.996619i
$12$	0.512365	−	1.65453i	0.147907	−	0.477623i
$13$	0.108362	−	1.03099i	0.0300542	−	0.285946i	−0.969164	−	0.246416i	$-0.920747\pi$
$13$	0.108362	−	1.03099i	0.0300542	−	0.285946i	0.999218	−	0.0395304i	$-0.0125862\pi$
$14$	−4.74797	+	1.00921i	−1.26895	+	0.269723i
$15$	1.73188	−	0.0239907i	0.447171	−	0.00619437i
$16$	−0.104528	−	0.994522i	−0.0261321	−	0.248630i
$17$	5.36196	−	3.89569i	1.30047	−	0.944844i	0.300506	−	0.953780i	$-0.402844\pi$
$17$	5.36196	−	3.89569i	1.30047	−	0.944844i	0.999960	+	0.00893564i	$0.00284434\pi$
$18$	0.847664	−	2.87775i	0.199796	−	0.678293i
$19$	−1.19530	+	3.67875i	−0.274220	+	0.843963i	0.715204	+	0.698915i	$0.246334\pi$
$19$	−1.19530	+	3.67875i	−0.274220	+	0.843963i	−0.989425	+	0.145048i	$0.953666\pi$
$20$	0.913545	−	0.406737i	0.204275	−	0.0909491i
$21$	−8.19873	+	1.86175i	−1.78911	+	0.406266i
$22$	−1.09549	−	3.13048i	−0.233559	−	0.667421i
$23$	1.73527	+	3.00558i	0.361829	+	0.626706i	0.988262	−	0.152769i	$-0.0488191\pi$
$23$	1.73527	+	3.00558i	0.361829	+	0.626706i	−0.626433	+	0.779475i	$0.715486\pi$
$24$	−0.204891	−	1.71989i	−0.0418231	−	0.351071i
$25$	0.669131	+	0.743145i	0.133826	+	0.148629i
$26$	−0.320349	−	0.985934i	−0.0628257	−	0.193358i
$27$	1.39902	−	5.00427i	0.269241	−	0.963073i
$28$	−3.92700	+	2.85314i	−0.742134	+	0.539192i
$29$	−6.60225	−	1.40335i	−1.22601	−	0.260596i	−0.450986	−	0.892531i	$-0.648928\pi$
$29$	−6.60225	−	1.40335i	−1.22601	−	0.260596i	−0.775022	+	0.631935i	$0.782261\pi$
$30$	1.57240	−	0.726338i	0.287079	−	0.132610i
$31$	0.789195	−	7.50869i	0.141744	−	1.34860i	−0.660150	−	0.751134i	$-0.729507\pi$
$31$	0.789195	−	7.50869i	0.141744	−	1.34860i	0.801893	−	0.597467i	$-0.203826\pi$
$32$	−0.500000	−	0.866025i	−0.0883883	−	0.153093i
$33$	−1.97236	−	5.39535i	−0.343344	−	0.939210i
$34$	3.31387	−	5.73980i	0.568325	−	0.984367i
$35$	−3.92700	−	2.85314i	−0.663785	−	0.482268i
$36$	−0.396108	−	2.97373i	−0.0660180	−	0.495622i
$37$	1.14144	+	3.51298i	0.187651	+	0.577530i	0.999984	−	0.00566374i	$-0.00180283\pi$
$37$	1.14144	+	3.51298i	0.187651	+	0.577530i	−0.812333	+	0.583194i	$0.801803\pi$
$38$	0.404323	+	3.84688i	0.0655898	+	0.624046i
$39$	−0.578462	−	1.69984i	−0.0926280	−	0.272192i
$40$	0.669131	−	0.743145i	0.105799	−	0.117502i
$41$	10.9334	−	2.32396i	1.70751	−	0.362942i	0.752286	−	0.658836i	$-0.228951\pi$
$41$	10.9334	−	2.32396i	1.70751	−	0.362942i	0.955221	+	0.295894i	$0.0956176\pi$
$42$	−6.73267	+	5.03551i	−1.03887	+	0.776996i
$43$	−4.30459	+	7.45578i	−0.656445	+	1.13700i	0.325085	+	0.945685i	$0.394607\pi$
$43$	−4.30459	+	7.45578i	−0.656445	+	1.13700i	−0.981530	+	0.191310i	$0.938726\pi$
$44$	−2.27406	−	2.41426i	−0.342827	−	0.363963i
$45$	2.70579	−	1.29566i	0.403355	−	0.193145i
$46$	2.80773	+	2.03993i	0.413977	+	0.300772i
$47$	2.86860	+	3.18590i	0.418428	+	0.464712i	0.915100	−	0.403227i	$-0.132111\pi$
$47$	2.86860	+	3.18590i	0.418428	+	0.464712i	−0.496672	+	0.867938i	$0.665445\pi$
$48$	−0.886719	−	1.48786i	−0.127987	−	0.214754i
$49$	15.1299	+	6.73627i	2.16141	+	0.962324i
$50$	0.913545	+	0.406737i	0.129195	+	0.0575212i
$51$	5.60155	−	10.0202i	0.784373	−	1.40310i
$52$	−0.693669	−	0.770398i	−0.0961946	−	0.106835i
$53$	0.579223	+	0.420830i	0.0795624	+	0.0578055i	0.626855	−	0.779136i	$-0.284342\pi$
$53$	0.579223	+	0.420830i	0.0795624	+	0.0578055i	−0.547293	+	0.836941i	$0.684342\pi$
$54$	−0.757356	−	5.14066i	−0.103063	−	0.699556i
$55$	1.59338	−	2.90881i	0.214851	−	0.392223i
$56$	−2.42702	+	4.20373i	−0.324324	+	0.561746i
$57$	0.792530	+	6.65265i	0.104973	+	0.881164i
$58$	−6.60225	+	1.40335i	−0.866918	+	0.184269i
$59$	−8.19337	+	9.09965i	−1.06669	+	1.18467i	−0.0845653	+	0.996418i	$0.526950\pi$
$59$	−8.19337	+	9.09965i	−1.06669	+	1.18467i	−0.982120	+	0.188256i	$0.939717\pi$
$60$	1.14103	−	1.30309i	0.147306	−	0.168229i
$61$	−0.348955	−	3.32009i	−0.0446792	−	0.425094i	−0.993884	−	0.110434i	$-0.964776\pi$
$61$	−0.348955	−	3.32009i	−0.0446792	−	0.425094i	0.949204	−	0.314660i	$-0.101891\pi$
$62$	−2.33309	−	7.18053i	−0.296303	−	0.911928i
$63$	−11.5394	+	8.88245i	−1.45383	+	1.11908i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	0.518336	−	0.897785i	0.0642917	−	0.111357i
$66$	−3.99633	−	4.12666i	−0.491914	−	0.507957i
$67$	2.20207	+	3.81410i	0.269026	+	0.465967i	0.968611	−	0.248583i	$-0.0799649\pi$
$67$	2.20207	+	3.81410i	0.269026	+	0.465967i	−0.699585	+	0.714550i	$0.746632\pi$
$68$	0.692788	−	6.59144i	0.0840129	−	0.799330i
$69$	4.91160	+	3.46557i	0.591287	+	0.417205i
$70$	−4.74797	−	1.00921i	−0.567491	−	0.120624i
$71$	−0.537178	+	0.390282i	−0.0637512	+	0.0463180i	−0.619204	−	0.785230i	$-0.712545\pi$
$71$	−0.537178	+	0.390282i	−0.0637512	+	0.0463180i	0.555453	+	0.831548i	$0.312545\pi$
$72$	−1.57139	−	2.55553i	−0.185190	−	0.301172i
$73$	2.15909	+	6.64500i	0.252703	+	0.777739i	0.994274	+	0.106864i	$0.0340810\pi$
$73$	2.15909	+	6.64500i	0.252703	+	0.777739i	−0.741571	+	0.670874i	$0.765919\pi$
$74$	2.47161	+	2.74500i	0.287319	+	0.319100i
$75$	1.59191	+	0.682504i	0.183818	+	0.0788088i
$76$	1.93403	+	3.34984i	0.221849	+	0.384253i
$77$	−4.62970	+	15.4190i	−0.527603	+	1.75716i
$78$	−1.21984	−	1.31760i	−0.138119	−	0.149189i
$79$	−2.67432	+	1.19068i	−0.300885	+	0.133963i	−0.551626	−	0.834092i	$-0.685992\pi$
$79$	−2.67432	+	1.19068i	−0.300885	+	0.133963i	0.250741	+	0.968054i	$0.419326\pi$
$80$	0.309017	−	0.951057i	0.0345492	−	0.106331i
$81$	−1.43498	−	8.88487i	−0.159442	−	0.987207i
$82$	9.04290	−	6.57005i	0.998621	−	0.725541i
$83$	0.785529	+	7.47381i	0.0862230	+	0.820357i	0.949107	+	0.314955i	$0.101989\pi$
$83$	0.785529	+	7.47381i	0.0862230	+	0.820357i	−0.862884	+	0.505402i	$0.831344\pi$
$84$	−4.10247	+	7.33859i	−0.447616	+	0.800706i
$85$	6.48292	−	1.37799i	0.703171	−	0.149464i
$86$	−0.899905	+	8.56203i	−0.0970393	+	0.923267i
$87$	−11.4007	+	2.58884i	−1.22228	+	0.277552i
$88$	−3.05942	−	1.28059i	−0.326136	−	0.136512i
$89$	9.51896			1.00901			0.504504	−	0.863409i	$-0.331675\pi$
$89$	9.51896			1.00901			0.504504	+	0.863409i	$0.331675\pi$
$90$	1.94487	−	2.28418i	0.205007	−	0.240774i
$91$	−1.55499	+	4.78577i	−0.163007	+	0.501685i
$92$	3.39470	+	0.721566i	0.353922	+	0.0752285i
$93$	−4.21292	−	12.3799i	−0.436859	−	1.28373i
$94$	3.91642	+	1.74370i	0.403948	+	0.179849i
$95$	−2.58824	+	2.87453i	−0.265548	+	0.294921i
$96$	−1.41523	−	0.998567i	−0.144441	−	0.101916i
$97$	6.30792	−	2.80847i	0.640473	−	0.285157i	−0.0606916	−	0.998157i	$-0.519331\pi$
$97$	6.30792	−	2.80847i	0.640473	−	0.285157i	0.701164	+	0.713000i	$0.252664\pi$
$98$	16.5617			1.67299
$99$	−7.02018	−	7.05103i	−0.705555	−	0.708655i
$100$	1.00000			0.100000
$101$	−12.4432	+	5.54008i	−1.23815	+	0.551258i	−0.918177	−	0.396170i	$-0.870339\pi$
$101$	−12.4432	+	5.54008i	−1.23815	+	0.551258i	−0.319969	+	0.947428i	$0.603672\pi$
$102$	1.04170	−	11.4322i	0.103143	−	1.13196i
$103$	5.67090	−	6.29817i	0.558771	−	0.620578i	−0.395881	−	0.918302i	$-0.629561\pi$
$103$	5.67090	−	6.29817i	0.558771	−	0.620578i	0.954652	+	0.297724i	$0.0962275\pi$
$104$	−0.947048	−	0.421653i	−0.0928657	−	0.0413465i
$105$	−8.24715	−	1.63393i	−0.804839	−	0.159455i
$106$	0.700314	+	0.148856i	0.0680205	+	0.0144582i
$107$	−4.15727	+	12.7948i	−0.401899	+	1.23692i	0.521559	+	0.853215i	$0.325351\pi$
$107$	−4.15727	+	12.7948i	−0.401899	+	1.23692i	−0.923457	+	0.383701i	$0.874649\pi$
$108$	−2.78277	−	4.38818i	−0.267773	−	0.422253i
$109$	0.992504			0.0950647			0.0475323	−	0.998870i	$-0.484864\pi$
$109$	0.992504			0.0950647			0.0475323	+	0.998870i	$0.484864\pi$
$110$	0.272502	−	3.30541i	0.0259821	−	0.315159i
$111$	4.34640	+	4.69473i	0.412542	+	0.445604i
$112$	−0.507386	+	4.82745i	−0.0479434	+	0.456151i
$113$	11.9295	−	2.53569i	1.12223	−	0.238537i	0.390815	−	0.920469i	$-0.372193\pi$
$113$	11.9295	−	2.53569i	1.12223	−	0.238537i	0.731416	+	0.681932i	$0.238860\pi$
$114$	3.42989	+	5.75514i	0.321238	+	0.539019i
$115$	0.362770	+	3.45153i	0.0338285	+	0.321857i
$116$	−5.46066	+	3.96741i	−0.507010	+	0.368364i
$117$	−2.14423	−	2.25266i	−0.198234	−	0.208259i
$118$	−3.78385	+	11.6455i	−0.348332	+	1.07205i
$119$	−29.3900	+	13.0853i	−2.69418	+	1.19953i
$120$	0.512365	−	1.65453i	0.0467723	−	0.151038i
$121$	−10.8515	−	1.80147i	−0.986499	−	0.163770i
$122$	−1.66919	−	2.89112i	−0.151121	−	0.261750i
$123$	15.5036	−	11.5955i	1.39792	−	1.04553i
$124$	−5.05197	−	5.61078i	−0.453680	−	0.503863i
$125$	0.309017	+	0.951057i	0.0276393	+	0.0850651i
$126$	−6.92895	+	12.8080i	−0.617280	+	1.14103i
$127$	5.30109	−	3.85147i	0.470396	−	0.341763i	−0.327200	−	0.944955i	$-0.606105\pi$
$127$	5.30109	−	3.85147i	0.470396	−	0.341763i	0.797596	+	0.603193i	$0.206105\pi$
$128$	−0.978148	−	0.207912i	−0.0864569	−	0.0183770i
$129$	−1.35312	+	14.8500i	−0.119136	+	1.30747i
$130$	0.108362	−	1.03099i	0.00950396	−	0.0904241i
$131$	−2.57362	−	4.45764i	−0.224858	−	0.389466i	0.731419	−	0.681929i	$-0.238859\pi$
$131$	−2.57362	−	4.45764i	−0.224858	−	0.389466i	−0.956277	+	0.292463i	$0.905525\pi$
$132$	−5.32929	−	2.14444i	−0.463855	−	0.186650i
$133$	9.38788	−	16.2603i	0.814032	−	1.40995i
$134$	3.56303	+	2.58869i	0.307799	+	0.223629i
$135$	3.31349	−	4.00260i	0.285180	−	0.344489i
$136$	−2.04809	−	6.30336i	−0.175622	−	0.540509i
$137$	0.879156	+	8.36461i	0.0751113	+	0.714637i	0.965671	+	0.259770i	$0.0836466\pi$
$137$	0.879156	+	8.36461i	0.0751113	+	0.714637i	−0.890559	+	0.454867i	$0.849687\pi$
$138$	5.89654	+	1.16823i	0.501947	+	0.0994462i
$139$	14.7407	−	16.3712i	1.25029	−	1.38858i	0.360149	−	0.932895i	$-0.382726\pi$
$139$	14.7407	−	16.3712i	1.25029	−	1.38858i	0.890139	−	0.455690i	$-0.150607\pi$
$140$	−4.74797	+	1.00921i	−0.401277	+	0.0852940i
$141$	6.82462	+	2.92593i	0.574737	+	0.246408i
$142$	−0.331994	+	0.575030i	−0.0278603	+	0.0482555i
$143$	−3.37833	−	0.639129i	−0.282510	−	0.0534466i
$144$	−2.47496	−	1.69545i	−0.206247	−	0.141288i
$145$	−5.46066	−	3.96741i	−0.453484	−	0.329475i
$146$	4.67519	+	5.19233i	0.386922	+	0.429720i
$147$	28.6830	−	0.397328i	2.36574	−	0.0327710i
$148$	3.37442	+	1.50239i	0.277376	+	0.123496i
$149$	−18.3347	−	8.16313i	−1.50204	−	0.668750i	−0.519441	−	0.854506i	$-0.673860\pi$
$149$	−18.3347	−	8.16313i	−1.50204	−	0.668750i	−0.982596	+	0.185756i	$0.940527\pi$
$150$	1.73188	−	0.0239907i	0.141408	−	0.00195883i
$151$	0.0595310	+	0.0661159i	0.00484457	+	0.00538044i	0.745562	−	0.666436i	$-0.232181\pi$
$151$	0.0595310	+	0.0661159i	0.00484457	+	0.00538044i	−0.740718	+	0.671816i	$0.765514\pi$
$152$	3.12933	+	2.27359i	0.253822	+	0.184413i
$153$	1.52983	−	19.8243i	0.123679	−	1.60270i
$154$	2.04203	+	15.9690i	0.164551	+	1.28682i
$155$	3.77503	−	6.53854i	0.303217	−	0.525188i
$156$	−1.65029	−	0.707534i	−0.132129	−	0.0566480i
$157$	−7.42237	+	1.57767i	−0.592369	+	0.125912i	−0.494336	−	0.869271i	$-0.664589\pi$
$157$	−7.42237	+	1.57767i	−0.592369	+	0.125912i	−0.0980336	+	0.995183i	$0.531255\pi$
$158$	−1.95882	+	2.17549i	−0.155835	+	0.173073i
$159$	1.21643	+	0.241001i	0.0964695	+	0.0191126i
$160$	−0.104528	−	0.994522i	−0.00826370	−	0.0786239i
$161$	−5.20575	−	16.0216i	−0.410270	−	1.26268i
$162$	−4.92472	−	7.53307i	−0.386923	−	0.591854i
$163$	6.23975	+	4.53345i	0.488735	+	0.355087i	0.804698	−	0.593685i	$-0.202327\pi$
$163$	6.23975	+	4.53345i	0.488735	+	0.355087i	−0.315962	+	0.948772i	$0.602327\pi$
$164$	5.58882	−	9.68012i	0.436413	−	0.755890i
$165$	0.392644	−	5.73113i	0.0305673	−	0.446168i
$166$	3.75749	+	6.50816i	0.291638	+	0.505131i
$167$	−2.20838	+	21.0113i	−0.170890	+	1.62591i	0.487426	+	0.873164i	$0.337936\pi$
$167$	−2.20838	+	21.0113i	−0.170890	+	1.62591i	−0.658316	+	0.752742i	$0.728731\pi$
$168$	−0.762920	+	8.37276i	−0.0588605	+	0.645973i
$169$	11.6647	+	2.47941i	0.897286	+	0.190724i
$170$	5.36196	−	3.89569i	0.411244	−	0.298786i
$171$	6.07824	+	9.88496i	0.464815	+	0.755922i
$172$	2.66039	+	8.18783i	0.202853	+	0.624316i
$173$	−7.08268	−	7.86612i	−0.538487	−	0.598050i	0.411086	−	0.911596i	$-0.365149\pi$
$173$	−7.08268	−	7.86612i	−0.538487	−	0.598050i	−0.949573	+	0.313547i	$0.898483\pi$
$174$	−9.36206	+	7.00209i	−0.709736	+	0.530827i
$175$	−2.42702	−	4.20373i	−0.183466	−	0.317772i
$176$	−3.31579	+	0.0744999i	−0.249937	+	0.00561564i
$177$	−6.27381	+	20.2594i	−0.471568	+	1.52279i
$178$	8.69600	−	3.87171i	0.651793	−	0.290197i
$179$	−2.55860	+	7.87456i	−0.191239	+	0.588572i	0.808761	+	0.588137i	$0.200138\pi$
$179$	−2.55860	+	7.87456i	−0.191239	+	0.588572i	−1.00000		0.000434881i	$0.999862\pi$
$180$	0.847664	−	2.87775i	0.0631812	−	0.214495i
$181$	4.34697	−	3.15826i	0.323108	−	0.234751i	−0.414393	−	0.910098i	$-0.636006\pi$
$181$	4.34697	−	3.15826i	0.323108	−	0.234751i	0.737500	+	0.675347i	$0.236006\pi$
$182$	0.525993	+	5.00449i	0.0389892	+	0.370957i
$183$	−2.96020	−	4.96704i	−0.218824	−	0.367174i
$184$	3.39470	−	0.721566i	0.250261	−	0.0531945i
$185$	−0.386103	+	3.67353i	−0.0283869	+	0.270083i
$186$	−8.88404	−	9.59603i	−0.651409	−	0.703615i
$187$	−11.4157	−	18.7851i	−0.834800	−	1.37370i
$188$	4.28706			0.312666
$189$	−11.6929	+	22.3482i	−0.850531	+	1.62560i
$190$	−1.19530	+	3.67875i	−0.0867160	+	0.266885i
$191$	15.9199	+	3.38388i	1.15192	+	0.244849i	0.744007	−	0.668171i	$-0.232923\pi$
$191$	15.9199	+	3.38388i	1.15192	+	0.244849i	0.407915	+	0.913020i	$0.366256\pi$
$192$	−1.69903	−	0.336613i	−0.122617	−	0.0242929i
$193$	−20.3238	−	9.04874i	−1.46294	−	0.651343i	−0.487804	−	0.872953i	$-0.662202\pi$
$193$	−20.3238	−	9.04874i	−1.46294	−	0.651343i	−0.975135	+	0.221610i	$0.928869\pi$
$194$	4.62027	−	5.13133i	0.331716	−	0.368408i
$195$	0.162936	−	1.78816i	0.0116681	−	0.128053i
$196$	15.1299	−	6.73627i	1.08071	−	0.481162i
$197$	13.6473			0.972331			0.486166	−	0.873867i	$-0.338395\pi$
$197$	13.6473			0.972331			0.486166	+	0.873867i	$0.338395\pi$
$198$	−9.28117	−	3.58607i	−0.659584	−	0.254851i
$199$	−15.5621			−1.10317			−0.551583	−	0.834120i	$-0.685976\pi$
$199$	−15.5621			−1.10317			−0.551583	+	0.834120i	$0.685976\pi$
$200$	0.913545	−	0.406737i	0.0645974	−	0.0287606i
$201$	6.23286	+	4.39784i	0.439632	+	0.310199i
$202$	−9.11409	+	10.1222i	−0.641265	+	0.712197i
$203$	29.9310	+	13.3262i	2.10075	+	0.935313i
$204$	−3.69827	−	10.8676i	−0.258931	−	0.760882i
$205$	10.9334	+	2.32396i	0.763620	+	0.162313i
$206$	2.61893	−	8.06023i	0.182469	−	0.561583i
$207$	10.2402	+	1.88177i	0.711740	+	0.130792i
$208$	−1.03667			−0.0718803
$209$	11.8341	+	4.95342i	0.818579	+	0.342635i
$210$	−8.19873	+	1.86175i	−0.565766	+	0.128473i
$211$	−0.762061	+	7.25052i	−0.0524624	+	0.499147i	0.936467	+	0.350757i	$0.114076\pi$
$211$	−0.762061	+	7.25052i	−0.0524624	+	0.499147i	−0.988929	+	0.148390i	$0.952591\pi$
$212$	0.700314	−	0.148856i	0.0480977	−	0.0102235i
$213$	−0.561180	+	1.00385i	−0.0384514	+	0.0687827i
$214$	1.40624	+	13.3795i	0.0961289	+	0.914605i
$215$	−6.96498	+	5.06035i	−0.475008	+	0.345113i
$216$	−4.32703	−	2.87695i	−0.294417	−	0.195752i
$217$	−11.3249	+	34.8546i	−0.768787	+	2.36608i
$218$	0.906698	−	0.403688i	0.0614093	−	0.0273412i
$219$	8.22146	+	8.88035i	0.555555	+	0.600079i
$220$	−1.09549	−	3.13048i	−0.0738578	−	0.211057i
$221$	−3.43540	−	5.95029i	−0.231090	−	0.400260i
$222$	5.88015	+	2.52101i	0.394650	+	0.169199i
$223$	−4.05826	−	4.50715i	−0.271761	−	0.301821i	0.591780	−	0.806099i	$-0.298425\pi$
$223$	−4.05826	−	4.50715i	−0.271761	−	0.301821i	−0.863541	+	0.504278i	$0.831759\pi$
$224$	1.49998	+	4.61647i	0.100222	+	0.308451i
$225$	2.99885	−	0.0830982i	0.199923	−	0.00553988i
$226$	9.86676	−	7.16862i	0.656327	−	0.476849i
$227$	−18.6226	−	3.95836i	−1.23603	−	0.262726i	−0.456858	−	0.889540i	$-0.651025\pi$
$227$	−18.6226	−	3.95836i	−1.23603	−	0.262726i	−0.779169	+	0.626814i	$0.784359\pi$
$228$	5.47419	+	3.86252i	0.362537	+	0.255802i
$229$	−1.18390	+	11.2641i	−0.0782346	+	0.744352i	0.883140	+	0.469109i	$0.155425\pi$
$229$	−1.18390	+	11.2641i	−0.0782346	+	0.744352i	−0.961375	+	0.275243i	$0.911242\pi$
$230$	1.73527	+	3.00558i	0.114420	+	0.198182i
$231$	3.91967	+	27.6075i	0.257895	+	1.81644i
$232$	−3.37488	+	5.84546i	−0.221571	+	0.383773i
$233$	1.44817	+	1.05216i	0.0948729	+	0.0689292i	0.634210	−	0.773160i	$-0.281325\pi$
$233$	1.44817	+	1.05216i	0.0948729	+	0.0689292i	−0.539338	+	0.842090i	$0.681325\pi$
$234$	−2.87509	−	1.18577i	−0.187951	−	0.0775165i
$235$	1.32477	+	4.07723i	0.0864187	+	0.265969i
$236$	1.27993	+	12.1777i	0.0833163	+	0.792702i
$237$	−3.34026	+	3.81469i	−0.216973	+	0.247791i
$238$	−21.5269	+	23.9080i	−1.39538	+	1.54972i
$239$	7.63432	−	1.62272i	0.493823	−	0.104965i	0.0457329	−	0.998954i	$-0.485438\pi$
$239$	7.63432	−	1.62272i	0.493823	−	0.104965i	0.448090	+	0.893988i	$0.352104\pi$
$240$	−0.204891	−	1.71989i	−0.0132256	−	0.111018i
$241$	2.18692	−	3.78785i	0.140872	−	0.243997i	−0.786953	−	0.617012i	$-0.788343\pi$
$241$	2.18692	−	3.78785i	0.140872	−	0.243997i	0.927825	+	0.373016i	$0.121676\pi$
$242$	−10.6460	+	2.76798i	−0.684354	+	0.177932i
$243$	−8.70977	−	12.9283i	−0.558732	−	0.829348i
$244$	−2.70080	−	1.96225i	−0.172901	−	0.125620i
$245$	11.0820	+	12.3078i	0.708001	+	0.786315i
$246$	9.44696	−	16.8989i	0.602316	−	1.07744i
$247$	3.66324	+	1.63098i	0.233087	+	0.103777i
$248$	−6.89732	−	3.07088i	−0.437980	−	0.195001i
$249$	6.66367	+	11.1812i	0.422293	+	0.708582i
$250$	0.669131	+	0.743145i	0.0423195	+	0.0470006i
$251$	−12.5557	−	9.12227i	−0.792511	−	0.575793i	0.116197	−	0.993226i	$-0.462930\pi$
$251$	−12.5557	−	9.12227i	−0.792511	−	0.575793i	−0.908707	+	0.417434i	$0.862930\pi$
$252$	−1.12042	+	14.5190i	−0.0705798	+	0.914609i
$253$	10.4075	−	4.91675i	0.654316	−	0.309114i
$254$	3.27626	−	5.67464i	0.205571	−	0.356059i
$255$	9.19284	−	6.87553i	0.575678	−	0.430562i
$256$	−0.978148	+	0.207912i	−0.0611342	+	0.0129945i
$257$	−5.73079	+	6.36469i	−0.357477	+	0.397018i	−0.894880	−	0.446307i	$-0.852739\pi$
$257$	−5.73079	+	6.36469i	−0.357477	+	0.397018i	0.537403	+	0.843326i	$0.319405\pi$
$258$	4.80391	+	14.1165i	0.299079	+	0.878858i
$259$	−1.87416	−	17.8315i	−0.116455	−	1.10799i
$260$	−0.320349	−	0.985934i	−0.0198672	−	0.0611450i
$261$	−16.0460	+	12.3514i	−0.993224	+	0.764534i
$262$	−4.16420	−	3.02547i	−0.257265	−	0.186914i
$263$	5.79553	−	10.0381i	0.357368	−	0.618979i	−0.630153	−	0.776471i	$-0.717008\pi$
$263$	5.79553	−	10.0381i	0.357368	−	0.618979i	0.987520	+	0.157493i	$0.0503410\pi$
$264$	−5.74077	+	0.208573i	−0.353320	+	0.0128368i
$265$	0.357980	+	0.620039i	0.0219905	+	0.0380887i
$266$	1.96260	−	18.6729i	0.120335	−	1.14491i
$267$	14.9676	−	6.91398i	0.916001	−	0.423129i
$268$	4.30791	+	0.915673i	0.263147	+	0.0559337i
$269$	3.92130	−	2.84899i	0.239086	−	0.173706i	−0.461790	−	0.886989i	$-0.652793\pi$
$269$	3.92130	−	2.84899i	0.239086	−	0.173706i	0.700876	+	0.713283i	$0.252793\pi$
$270$	1.39902	−	5.00427i	0.0851415	−	0.304550i
$271$	0.787353	+	2.42322i	0.0478283	+	0.147200i	0.972118	−	0.234490i	$-0.0753421\pi$
$271$	0.787353	+	2.42322i	0.0478283	+	0.147200i	−0.924290	+	0.381690i	$0.875342\pi$
$272$	−4.43483	−	4.92538i	−0.268901	−	0.298645i
$273$	1.03102	+	8.65458i	0.0624002	+	0.523799i
$274$	4.20534	+	7.28386i	0.254054	+	0.440034i
$275$	2.63874	−	2.00924i	0.159122	−	0.121162i
$276$	5.86192	−	1.33111i	0.352846	−	0.0801234i
$277$	21.7186	−	9.66976i	1.30495	−	0.581000i	0.367790	−	0.929909i	$-0.380114\pi$
$277$	21.7186	−	9.66976i	1.30495	−	0.581000i	0.937157	+	0.348909i	$0.113448\pi$
$278$	6.80752	−	20.9514i	0.408288	−	1.25658i
$279$	−15.6163	−	16.4061i	−0.934926	−	0.982206i
$280$	−3.92700	+	2.85314i	−0.234683	+	0.170507i
$281$	−2.75393	−	26.2019i	−0.164286	−	1.56308i	−0.697182	−	0.716894i	$-0.745563\pi$
$281$	−2.75393	−	26.2019i	−0.164286	−	1.56308i	0.532896	−	0.846181i	$-0.321104\pi$
$282$	7.42469	−	0.102849i	0.442134	−	0.00612460i
$283$	20.8803	−	4.43824i	1.24120	−	0.263826i	0.459897	−	0.887972i	$-0.347886\pi$
$283$	20.8803	−	4.43824i	1.24120	−	0.263826i	0.781308	+	0.624146i	$0.214553\pi$
$284$	−0.0694056	+	0.660351i	−0.00411847	+	0.0391846i
$285$	−1.98186	+	6.39985i	−0.117395	+	0.379094i
$286$	−3.34621	+	0.790217i	−0.197866	+	0.0467265i
$287$	−54.2567			−3.20267
$288$	−2.95059	−	0.542213i	−0.173865	−	0.0319502i
$289$	8.32091	−	25.6091i	0.489465	−	1.50642i
$290$	−6.60225	−	1.40335i	−0.387698	−	0.0824077i
$291$	7.87867	−	8.99771i	0.461856	−	0.527455i
$292$	6.38291	+	2.84186i	0.373532	+	0.166307i
$293$	−22.4096	+	24.8884i	−1.30918	+	1.45399i	−0.500516	+	0.865727i	$0.666856\pi$
$293$	−22.4096	+	24.8884i	−1.30918	+	1.45399i	−0.808666	+	0.588268i	$0.799810\pi$
$294$	26.0416	−	12.0294i	1.51878	−	0.701570i
$295$	−11.1862	+	4.98041i	−0.651284	+	0.289970i
$296$	3.69376			0.214696
$297$	−16.1599	−	5.98800i	−0.937695	−	0.347459i
$298$	−20.0698			−1.16261
$299$	3.28677	−	1.46336i	0.190079	−	0.0846285i
$300$	1.57240	−	0.726338i	0.0907824	−	0.0419351i
$301$	27.9626	−	31.0556i	1.61173	−	1.79001i
$302$	0.0812761	+	0.0361864i	0.00467691	+	0.00208230i
$303$	−15.5417	+	17.7492i	−0.892848	+	1.01966i
$304$	3.78354	+	0.804216i	0.217001	+	0.0461250i
$305$	1.03162	−	3.17499i	0.0590701	−	0.181799i
$306$	−6.66570	−	18.7326i	−0.381053	−	1.07087i
$307$	7.29580			0.416394			0.208197	−	0.978087i	$-0.433241\pi$
$307$	7.29580			0.416394			0.208197	+	0.978087i	$0.433241\pi$
$308$	8.36067	+	13.7578i	0.476393	+	0.783926i
$309$	4.34231	−	14.0222i	0.247025	−	0.797696i
$310$	0.789195	−	7.50869i	0.0448233	−	0.426465i
$311$	−7.01827	+	1.49178i	−0.397970	+	0.0845910i	−0.402549	−	0.915398i	$-0.631876\pi$
$311$	−7.01827	+	1.49178i	−0.397970	+	0.0845910i	0.00457938	+	0.999990i	$0.498542\pi$
$312$	−1.79540	+	0.0248705i	−0.101644	+	0.00140801i
$313$	1.71456	+	16.3129i	0.0969126	+	0.922062i	0.929662	+	0.368413i	$0.120099\pi$
$313$	1.71456	+	16.3129i	0.0969126	+	0.922062i	−0.832750	+	0.553650i	$0.813235\pi$
$314$	−6.13897	+	4.46022i	−0.346442	+	0.251705i
$315$	−14.1546	+	3.42102i	−0.797520	+	0.192753i
$316$	−0.904619	+	2.78413i	−0.0508888	+	0.156620i
$317$	22.3085	−	9.93238i	1.25297	−	0.557858i	0.330455	−	0.943822i	$-0.392798\pi$
$317$	22.3085	−	9.93238i	1.25297	−	0.557858i	0.922514	+	0.385964i	$0.126131\pi$
$318$	1.20929	−	0.274603i	0.0678137	−	0.0153990i
$319$	−6.43779	+	21.4407i	−0.360447	+	1.20045i
$320$	−0.500000	−	0.866025i	−0.0279508	−	0.0484123i
$321$	2.75644	+	23.1380i	0.153849	+	1.29144i
$322$	−11.2723	−	12.5191i	−0.628180	−	0.697664i
$323$	7.92213	+	24.3818i	0.440799	+	1.35664i
$324$	−7.56293	−	4.87874i	−0.420163	−	0.271041i
$325$	0.838686	−	0.609341i	0.0465219	−	0.0338002i
$326$	7.54422	+	1.60357i	0.417836	+	0.0888137i
$327$	1.56061	−	0.720893i	0.0863020	−	0.0398655i
$328$	1.16838	−	11.1164i	0.0645131	−	0.613801i
$329$	−10.4048	−	18.0216i	−0.573634	−	0.993563i
$330$	−1.97236	−	5.39535i	−0.108575	−	0.297004i
$331$	9.01615	−	15.6164i	0.495572	−	0.858357i	−0.504415	−	0.863462i	$-0.668292\pi$
$331$	9.01615	−	15.6164i	0.495572	−	0.858357i	0.999987	+	0.00510505i	$0.00162499\pi$
$332$	6.07974	+	4.41719i	0.333669	+	0.242425i
$333$	10.2442	+	4.22503i	0.561380	+	0.231530i
$334$	6.52863	+	20.0930i	0.357231	+	1.09944i
$335$	0.460359	+	4.38002i	0.0251521	+	0.239306i
$336$	2.70855	+	7.95921i	0.147763	+	0.434210i
$337$	−1.15248	+	1.27996i	−0.0627797	+	0.0697239i	−0.773717	−	0.633532i	$-0.781605\pi$
$337$	−1.15248	+	1.27996i	−0.0627797	+	0.0697239i	0.710937	+	0.703256i	$0.248271\pi$
$338$	11.6647	−	2.47941i	0.634477	−	0.134862i
$339$	16.9161	−	12.6519i	0.918757	−	0.687159i
$340$	3.31387	−	5.73980i	0.179720	−	0.311284i
$341$	−24.6043	−	4.65475i	−1.33240	−	0.252069i
$342$	9.57332	+	6.55812i	0.517666	+	0.354622i
$343$	−37.5490	−	27.2809i	−2.02745	−	1.47303i
$344$	5.76067	+	6.39787i	0.310595	+	0.344950i
$345$	3.07739	+	5.16368i	0.165681	+	0.278003i
$346$	−9.66979	−	4.30527i	−0.519851	−	0.231453i
$347$	−10.0591	−	4.47862i	−0.540003	−	0.240425i	0.118564	−	0.992946i	$-0.462171\pi$
$347$	−10.0591	−	4.47862i	−0.540003	−	0.240425i	−0.658568	+	0.752521i	$0.728837\pi$
$348$	−5.70466	+	10.2046i	−0.305802	+	0.547025i
$349$	7.10597	+	7.89198i	0.380374	+	0.422448i	0.902682	−	0.430309i	$-0.141595\pi$
$349$	7.10597	+	7.89198i	0.380374	+	0.422448i	−0.522308	+	0.852757i	$0.674929\pi$
$350$	−3.92700	−	2.85314i	−0.209907	−	0.152506i
$351$	−5.00777	−	1.98465i	−0.267295	−	0.105933i
$352$	−2.99882	+	1.41671i	−0.159838	+	0.0755110i
$353$	−9.84523	+	17.0524i	−0.524009	+	0.907610i	0.475600	+	0.879661i	$0.342231\pi$
$353$	−9.84523	+	17.0524i	−0.524009	+	0.907610i	−0.999609	+	0.0279487i	$0.991102\pi$
$354$	2.50884	+	21.0597i	0.133343	+	1.11931i
$355$	−0.649478	+	0.138051i	−0.0344707	+	0.00732698i
$356$	6.36943	−	7.07397i	0.337579	−	0.374919i
$357$	−36.7085	+	41.9223i	−1.94282	+	2.21876i
$358$	0.865475	+	8.23444i	0.0457417	+	0.435204i
$359$	2.03676	+	6.26850i	0.107496	+	0.330839i	0.990308	−	0.138887i	$-0.0443526\pi$
$359$	2.03676	+	6.26850i	0.107496	+	0.330839i	−0.882812	+	0.469726i	$0.844353\pi$
$360$	−0.396108	−	2.97373i	−0.0208767	−	0.156730i
$361$	3.26686	+	2.37352i	0.171940	+	0.124922i
$362$	2.68657	−	4.65328i	0.141203	−	0.244571i
$363$	−18.3713	+	5.04922i	−0.964244	+	0.265015i
$364$	2.51603	+	4.35789i	0.131876	+	0.228415i
$365$	−0.730337	+	6.94869i	−0.0382276	+	0.363711i
$366$	−4.72456	−	3.33359i	−0.246957	−	0.174250i
$367$	5.28216	+	1.12276i	0.275727	+	0.0586075i	0.343700	−	0.939080i	$-0.388320\pi$
$367$	5.28216	+	1.12276i	0.275727	+	0.0586075i	−0.0679729	+	0.997687i	$0.521653\pi$
$368$	2.80773	−	2.03993i	0.146363	−	0.106339i
$369$	15.9556	−	29.4936i	0.830617	−	1.53538i
$370$	1.14144	+	3.51298i	0.0593404	+	0.182631i
$371$	−2.32543	−	2.58265i	−0.120730	−	0.134084i
$372$	−12.0190	−	5.15294i	−0.623158	−	0.267168i
$373$	19.2637	+	33.3657i	0.997436	+	1.72761i	0.560692	+	0.828024i	$0.310535\pi$
$373$	19.2637	+	33.3657i	0.997436	+	1.72761i	0.436744	+	0.899586i	$0.356132\pi$
$374$	−18.0694	−	12.5178i	−0.934344	−	0.647281i
$375$	1.17669	+	1.27099i	0.0607638	+	0.0656335i
$376$	3.91642	−	1.74370i	0.201974	−	0.0899246i
$377$	−2.16228	+	6.65481i	−0.111363	+	0.342740i
$378$	−1.59212	+	25.1721i	−0.0818897	+	1.29471i
$379$	−11.3999	+	8.28251i	−0.585574	+	0.425444i	−0.840729	−	0.541456i	$-0.817873\pi$
$379$	−11.3999	+	8.28251i	−0.585574	+	0.425444i	0.255156	+	0.966900i	$0.417873\pi$
$380$	0.404323	+	3.84688i	0.0207413	+	0.197341i
$381$	5.53796	−	9.90643i	0.283718	−	0.507522i
$382$	15.9199	−	3.38388i	0.814532	−	0.173134i
$383$	−0.860505	+	8.18716i	−0.0439698	+	0.418344i	0.950291	+	0.311362i	$0.100785\pi$
$383$	−0.860505	+	8.18716i	−0.0439698	+	0.418344i	−0.994261	+	0.106982i	$0.965881\pi$
$384$	−1.68905	+	0.383546i	−0.0861940	+	0.0195727i
$385$	−10.5009	+	12.2029i	−0.535176	+	0.621916i
$386$	−22.2472			−1.13235
$387$	8.65849	+	24.3330i	0.440136	+	1.23691i
$388$	2.13373	−	6.56693i	0.108324	−	0.333386i
$389$	−18.5439	−	3.94163i	−0.940214	−	0.199849i	−0.287782	−	0.957696i	$-0.592918\pi$
$389$	−18.5439	−	3.94163i	−0.940214	−	0.199849i	−0.652432	+	0.757847i	$0.726251\pi$
$390$	−0.578462	−	1.69984i	−0.0292915	−	0.0860747i
$391$	21.0133	+	9.35570i	1.06269	+	0.473138i
$392$	11.0820	−	12.3078i	0.559724	−	0.621636i
$393$	−7.28450	−	5.13986i	−0.367454	−	0.259272i
$394$	12.4674	−	5.55086i	0.628101	−	0.279649i
$395$	−2.92741			−0.147294
$396$	−9.93736	+	0.498950i	−0.499371	+	0.0250732i
$397$	17.7942			0.893067			0.446533	−	0.894767i	$-0.352658\pi$
$397$	17.7942			0.893067			0.446533	+	0.894767i	$0.352658\pi$
$398$	−14.2167	+	6.32967i	−0.712617	+	0.317278i
$399$	2.95102	−	32.3864i	0.147736	−	1.62135i
$400$	0.669131	−	0.743145i	0.0334565	−	0.0371572i
$401$	−12.5019	−	5.56621i	−0.624316	−	0.277963i	0.0700970	−	0.997540i	$-0.477669\pi$
$401$	−12.5019	−	5.56621i	−0.624316	−	0.277963i	−0.694413	+	0.719577i	$0.744336\pi$
$402$	7.48276	+	1.48249i	0.373206	+	0.0739399i
$403$	−7.65590	−	1.62731i	−0.381367	−	0.0810621i
$404$	−4.20906	+	12.9541i	−0.209408	+	0.644493i
$405$	2.30288	−	8.70039i	0.114431	−	0.432326i
$406$	32.7636			1.62603
$407$	11.9229	−	2.81562i	0.590995	−	0.139565i
$408$	−7.79878	−	8.42379i	−0.386097	−	0.417040i
$409$	−1.31125	+	12.4757i	−0.0648373	+	0.616886i	0.913064	+	0.407817i	$0.133710\pi$
$409$	−1.31125	+	12.4757i	−0.0648373	+	0.616886i	−0.977901	+	0.209069i	$0.932957\pi$
$410$	10.9334	−	2.32396i	0.539961	−	0.114772i
$411$	7.45791	+	12.5139i	0.367872	+	0.617266i
$412$	−0.885882	−	8.42860i	−0.0436443	−	0.415247i
$413$	48.0853	−	34.9360i	2.36613	−	1.71909i
$414$	10.1202	−	2.44596i	0.497382	−	0.120212i
$415$	−2.32226	+	7.14717i	−0.113995	+	0.350841i
$416$	−0.947048	+	0.421653i	−0.0464328	+	0.0206732i
$417$	11.2872	−	36.4487i	0.552736	−	1.78490i
$418$	12.8257	−	0.288171i	0.627325	−	0.0140949i
$419$	2.24278	+	3.88462i	0.109567	+	0.189776i	0.915595	−	0.402102i	$-0.131720\pi$
$419$	2.24278	+	3.88462i	0.109567	+	0.189776i	−0.806028	+	0.591878i	$0.798387\pi$
$420$	−6.73267	+	5.03551i	−0.328521	+	0.245708i
$421$	−21.2172	−	23.5641i	−1.03406	−	1.14844i	−0.988767	−	0.149468i	$-0.952244\pi$
$421$	−21.2172	−	23.5641i	−1.03406	−	1.14844i	−0.0452952	−	0.998974i	$-0.514423\pi$
$422$	2.25288	+	6.93364i	0.109668	+	0.337524i
$423$	12.8562	−	0.356247i	0.625092	−	0.0173213i
$424$	0.579223	−	0.420830i	0.0281296	−	0.0204373i
$425$	6.48292	+	1.37799i	0.314468	+	0.0668421i
$426$	−0.104360	+	1.14532i	−0.00505627	+	0.0554907i
$427$	−1.69384	+	16.1159i	−0.0819709	+	0.779901i
$428$	6.72661	+	11.6508i	0.325143	+	0.563164i
$429$	−5.77630	+	1.44884i	−0.278882	+	0.0699508i
$430$	−4.30459	+	7.45578i	−0.207586	+	0.359549i
$431$	17.7754	+	12.9146i	0.856209	+	0.622073i	0.926851	−	0.375429i	$-0.122505\pi$
$431$	17.7754	+	12.9146i	0.856209	+	0.622073i	−0.0706417	+	0.997502i	$0.522505\pi$
$432$	−5.12310	−	0.868264i	−0.246485	−	0.0417744i
$433$	−6.02320	−	18.5375i	−0.289457	−	0.890856i	−0.985027	−	0.172398i	$-0.944848\pi$
$433$	−6.02320	−	18.5375i	−0.289457	−	0.890856i	0.695571	−	0.718458i	$-0.255152\pi$
$434$	3.83079	+	36.4475i	0.183884	+	1.74954i
$435$	−11.4680	−	2.27205i	−0.549849	−	0.108937i
$436$	0.664115	−	0.737575i	0.0318053	−	0.0353234i
$437$	−13.1309	+	2.79106i	−0.628137	+	0.133515i
$438$	11.1226	+	4.76864i	0.531461	+	0.227854i
$439$	11.5743	−	20.0473i	0.552412	−	0.956805i	−0.445688	−	0.895188i	$-0.647041\pi$
$439$	11.5743	−	20.0473i	0.552412	−	0.956805i	0.998100	−	0.0616169i	$-0.0196257\pi$
$440$	−2.27406	−	2.41426i	−0.108412	−	0.115095i
$441$	44.8125	−	21.4583i	2.13393	−	1.02182i
$442$	−5.55860	−	4.03856i	−0.264396	−	0.192095i
$443$	−19.7816	−	21.9697i	−0.939851	−	1.04381i	−0.998962	−	0.0455587i	$-0.985493\pi$
$443$	−19.7816	−	21.9697i	−0.939851	−	1.04381i	0.0591108	−	0.998251i	$-0.481173\pi$
$444$	6.39717	−	0.0886160i	0.303596	−	0.00420553i
$445$	8.69600	+	3.87171i	0.412230	+	0.183537i
$446$	−5.54063	−	2.46685i	−0.262356	−	0.116809i
$447$	−34.7586	+	0.481489i	−1.64403	+	0.0227737i
$448$	3.24799	+	3.60726i	0.153453	+	0.170427i
$449$	−24.4537	−	17.7666i	−1.15404	−	0.838459i	−0.165027	−	0.986289i	$-0.552771\pi$
$449$	−24.4537	−	17.7666i	−1.15404	−	0.838459i	−0.989013	+	0.147830i	$0.952771\pi$
$450$	2.70579	−	1.29566i	0.127552	−	0.0610778i
$451$	−4.70228	−	36.7726i	−0.221422	−	1.73155i
$452$	6.09799	−	10.5620i	0.286825	−	0.496796i
$453$	0.141629	+	0.0607209i	0.00665431	+	0.00285292i
$454$	−18.6226	+	3.95836i	−0.874003	+	0.185775i
$455$	−3.36710	+	3.73955i	−0.157852	+	0.175313i
$456$	6.57195	+	1.30204i	0.307760	+	0.0609736i
$457$	1.13502	+	10.7990i	0.0530941	+	0.505157i	0.988461	+	0.151477i	$0.0484031\pi$
$457$	1.13502	+	10.7990i	0.0530941	+	0.505157i	−0.935367	+	0.353680i	$0.884930\pi$
$458$	3.49997	+	10.7718i	0.163543	+	0.503333i
$459$	−11.9936	−	32.2829i	−0.559815	−	1.50683i
$460$	2.80773	+	2.03993i	0.130911	+	0.0951123i
$461$	14.5187	−	25.1471i	0.676203	−	1.17122i	−0.299913	−	0.953967i	$-0.596958\pi$
$461$	14.5187	−	25.1471i	0.676203	−	1.17122i	0.976116	−	0.217251i	$-0.0697090\pi$
$462$	14.8098	+	23.6264i	0.689013	+	1.09920i
$463$	−18.0774	−	31.3110i	−0.840129	−	1.45515i	−0.889785	−	0.456380i	$-0.849146\pi$
$463$	−18.0774	−	31.3110i	−0.840129	−	1.45515i	0.0496553	−	0.998766i	$-0.484188\pi$
$464$	−0.705541	+	6.71278i	−0.0327539	+	0.311633i
$465$	1.18666	−	13.0231i	0.0550299	−	0.603933i
$466$	1.75092	+	0.372170i	0.0811099	+	0.0172404i
$467$	−1.36925	+	0.994821i	−0.0633615	+	0.0460348i	−0.619015	−	0.785379i	$-0.712468\pi$
$467$	−1.36925	+	0.994821i	−0.0633615	+	0.0460348i	0.555654	+	0.831414i	$0.312468\pi$
$468$	−3.10882	+	0.0861457i	−0.143705	+	0.00398209i
$469$	−6.60614	−	20.3316i	−0.305043	−	0.938826i
$470$	2.86860	+	3.18590i	0.132319	+	0.146955i
$471$	−10.5250	+	7.87187i	−0.484966	+	0.362717i
$472$	6.12240	+	10.6043i	0.281806	+	0.488103i
$473$	23.4714	+	16.2602i	1.07922	+	0.747643i
$474$	−1.49990	+	4.84350i	−0.0688928	+	0.222469i
$475$	−3.53365	+	1.57328i	−0.162135	+	0.0721872i
$476$	−9.94150	+	30.5968i	−0.455668	+	1.40240i
$477$	2.08777	−	0.504592i	0.0955922	−	0.0231037i
$478$	6.31428	−	4.58759i	0.288808	−	0.209831i
$479$	2.04922	+	19.4971i	0.0936314	+	0.890843i	0.936014	+	0.351963i	$0.114486\pi$
$479$	2.04922	+	19.4971i	0.0936314	+	0.890843i	−0.842382	+	0.538880i	$0.818848\pi$
$480$	−0.886719	−	1.48786i	−0.0404730	−	0.0679112i
$481$	3.74555	−	0.796140i	0.170782	−	0.0363009i
$482$	0.457190	−	4.34987i	0.0208244	−	0.198131i
$483$	−19.8226	−	21.4113i	−0.901961	−	0.974246i
$484$	−8.59981	+	6.85881i	−0.390900	+	0.311764i
$485$	6.90488			0.313535
$486$	−13.2152	−	8.26797i	−0.599452	−	0.375043i
$487$	−11.6123	+	35.7390i	−0.526204	+	1.61949i	0.235718	+	0.971822i	$0.424256\pi$
$487$	−11.6123	+	35.7390i	−0.526204	+	1.61949i	−0.761922	+	0.647669i	$0.775744\pi$
$488$	−3.26543	−	0.694088i	−0.147819	−	0.0314199i
$489$	13.1042	+	2.59621i	0.592592	+	0.117405i
$490$	15.1299	+	6.73627i	0.683499	+	0.304314i
$491$	8.17198	−	9.07590i	0.368796	−	0.409590i	−0.529971	−	0.848016i	$-0.677797\pi$
$491$	8.17198	−	9.07590i	0.368796	−	0.409590i	0.898767	+	0.438426i	$0.144464\pi$
$492$	1.75681	−	19.2804i	0.0792032	−	0.869226i
$493$	−40.8681	+	18.1956i	−1.84060	+	0.819490i
$494$	4.00992			0.180415
$495$	−3.54534	−	9.29680i	−0.159351	−	0.417860i
$496$	−7.55005			−0.339007
$497$	2.94438	−	1.31092i	0.132074	−	0.0588029i
$498$	10.6354	+	7.50421i	0.476583	+	0.336272i
$499$	−16.1551	+	17.9421i	−0.723204	+	0.803199i	−0.986887	−	0.161410i	$-0.948396\pi$
$499$	−16.1551	+	17.9421i	−0.723204	+	0.803199i	0.263684	+	0.964609i	$0.415063\pi$
$500$	0.913545	+	0.406737i	0.0408550	+	0.0181898i
$501$	11.7889	+	34.6422i	0.526688	+	1.54770i
$502$	−15.1806	−	3.22673i	−0.677543	−	0.144016i
$503$	0.0567672	−	0.174711i	0.00253112	−	0.00779000i	−0.949783	−	0.312909i	$-0.898696\pi$
$503$	0.0567672	−	0.174711i	0.00253112	−	0.00779000i	0.952314	+	0.305119i	$0.0986964\pi$
$504$	4.88184	+	13.7194i	0.217454	+	0.611113i
$505$	−13.6208			−0.606117
$506$	7.50793	−	8.72480i	0.333768	−	0.387865i
$507$	20.1425	−	4.57390i	0.894558	−	0.203134i
$508$	0.684924	−	6.51662i	0.0303886	−	0.289128i
$509$	−9.68162	+	2.05789i	−0.429130	+	0.0912145i	−0.417413	−	0.908717i	$-0.637063\pi$
$509$	−9.68162	+	2.05789i	−0.429130	+	0.0912145i	−0.0117173	+	0.999931i	$0.503730\pi$
$510$	5.60155	−	10.0202i	0.248041	−	0.443701i
$511$	−3.54509	−	33.7293i	−0.156825	−	1.49209i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	16.7372	+	11.1282i	0.738966	+	0.491323i
$514$	−2.64659	+	8.14535i	−0.116736	+	0.359276i
$515$	7.74233	−	3.44711i	0.341168	−	0.151898i
$516$	10.1303	+	10.9422i	0.445962	+	0.481703i
$517$	11.3124	−	8.61374i	0.497520	−	0.378832i
$518$	−8.96485	−	15.5276i	−0.393893	−	0.682242i
$519$	−16.8503	−	7.22424i	−0.739644	−	0.317109i
$520$	−0.693669	−	0.770398i	−0.0304194	−	0.0337842i
$521$	−1.10119	−	3.38910i	−0.0482439	−	0.148479i	0.924033	−	0.382314i	$-0.124873\pi$
$521$	−1.10119	−	3.38910i	−0.0482439	−	0.148479i	−0.972276	+	0.233834i	$0.924873\pi$
$522$	−9.63500	+	17.8101i	−0.421712	+	0.779526i
$523$	−10.0319	+	7.28859i	−0.438664	+	0.318708i	−0.785104	−	0.619364i	$-0.787390\pi$
$523$	−10.0319	+	7.28859i	−0.438664	+	0.318708i	0.346440	+	0.938072i	$0.387390\pi$
$524$	−5.03476	−	1.07017i	−0.219944	−	0.0467506i
$525$	−6.86957	−	4.84709i	−0.299812	−	0.211544i
$526$	1.21160	−	11.5276i	0.0528281	−	0.502625i
$527$	−25.0199	−	43.3358i	−1.08989	−	1.88774i
$528$	−5.15962	+	2.52552i	−0.224544	+	0.109909i
$529$	5.47767	−	9.48761i	0.238160	−	0.412505i
$530$	0.579223	+	0.420830i	0.0251598	+	0.0182797i
$531$	4.85026	+	36.4128i	0.210483	+	1.58018i
$532$	−5.80203	−	17.8568i	−0.251550	−	0.774191i
$533$	−1.21123	−	11.5241i	−0.0524641	−	0.499163i
$534$	10.8614	−	12.4041i	0.470019	−	0.536778i
$535$	−9.00196	+	9.99769i	−0.389189	+	0.432238i
$536$	4.30791	−	0.915673i	0.186073	−	0.0395511i
$537$	1.69645	+	14.2403i	0.0732073	+	0.614516i
$538$	2.42349	−	4.19762i	0.104484	−	0.180972i
$539$	26.3891	−	48.1749i	1.13666	−	2.07504i
$540$	−0.757356	−	5.14066i	−0.0325914	−	0.221219i
$541$	−22.7400	−	16.5216i	−0.977668	−	0.710318i	−0.0204822	−	0.999790i	$-0.506520\pi$
$541$	−22.7400	−	16.5216i	−0.977668	−	0.710318i	−0.957186	+	0.289472i	$0.906520\pi$
$542$	1.70490	+	1.89348i	0.0732315	+	0.0813319i
$543$	4.54120	−	8.12340i	0.194882	−	0.348608i
$544$	−6.05475	−	2.69575i	−0.259595	−	0.115579i
$545$	0.906698	+	0.403688i	0.0388387	+	0.0172921i
$546$	4.46202	+	7.48700i	0.190957	+	0.320414i
$547$	−24.1985	−	26.8751i	−1.03465	−	1.14910i	−0.988662	−	0.150155i	$-0.952023\pi$
$547$	−24.1985	−	26.8751i	−1.03465	−	1.14910i	−0.0459895	−	0.998942i	$-0.514644\pi$
$548$	6.80439	+	4.94368i	0.290669	+	0.211183i
$549$	−8.26236	−	5.66006i	−0.352629	−	0.241565i
$550$	1.59338	−	2.90881i	0.0679417	−	0.124032i
$551$	13.0542	−	22.6106i	0.556129	−	0.963245i
$552$	4.81372	−	3.60029i	0.204885	−	0.153238i
$553$	13.8993	−	2.95438i	0.591057	−	0.125633i
$554$	15.9079	−	17.6675i	0.675863	−	0.750622i
$555$	2.06111	+	6.05669i	0.0874894	+	0.257092i
$556$	−2.30272	−	21.9089i	−0.0976570	−	0.929145i
$557$	2.55093	+	7.85094i	0.108086	+	0.332655i	0.990442	−	0.137927i	$-0.0440439\pi$
$557$	2.55093	+	7.85094i	0.108086	+	0.332655i	−0.882356	+	0.470582i	$0.844044\pi$
$558$	−20.9392	−	8.63596i	−0.886427	−	0.365589i
$559$	7.22040	+	5.24593i	0.305391	+	0.221879i
$560$	−2.42702	+	4.20373i	−0.102560	+	0.177640i
$561$	−31.5943	−	21.2459i	−1.33391	−	0.897004i
$562$	−13.1731	−	22.8165i	−0.555675	−	0.962457i
$563$	2.69238	−	25.6163i	0.113470	−	1.07960i	−0.778543	−	0.627591i	$-0.784041\pi$
$563$	2.69238	−	25.6163i	0.113470	−	1.07960i	0.892014	−	0.452008i	$-0.149292\pi$
$564$	6.74096	−	3.11385i	0.283845	−	0.131117i
$565$	11.9295	+	2.53569i	0.501877	+	0.106677i
$566$	17.2699	−	12.5473i	0.725908	−	0.527403i
$567$	−2.15347	+	43.6333i	−0.0904373	+	1.83243i
$568$	0.205184	+	0.631490i	0.00860931	+	0.0264967i
$569$	24.9604	+	27.7214i	1.04640	+	1.16214i	0.986471	+	0.163938i	$0.0524197\pi$
$569$	24.9604	+	27.7214i	1.04640	+	1.16214i	0.0599256	+	0.998203i	$0.480914\pi$
$570$	0.792530	+	6.65265i	0.0331954	+	0.278649i
$571$	−15.1010	−	26.1557i	−0.631957	−	1.09458i	−0.987151	−	0.159789i	$-0.948919\pi$
$571$	−15.1010	−	26.1557i	−0.631957	−	1.09458i	0.355194	−	0.934792i	$-0.384415\pi$
$572$	−2.73551	+	2.08293i	−0.114377	+	0.0870916i
$573$	27.4902	−	6.24241i	1.14842	−	0.260780i
$574$	−49.5660	+	22.0682i	−2.06884	+	0.921109i
$575$	−1.07246	+	3.30068i	−0.0447245	+	0.137648i
$576$	−2.91604	+	0.704778i	−0.121502	+	0.0293658i
$577$	0.775600	−	0.563507i	0.0322887	−	0.0234591i	−0.571524	−	0.820585i	$-0.693648\pi$
$577$	0.775600	−	0.563507i	0.0322887	−	0.0234591i	0.603813	+	0.797126i	$0.293648\pi$
$578$	−2.81464	−	26.7795i	−0.117074	−	1.11388i
$579$	−38.5295	+	0.533725i	−1.60123	+	0.0221809i
$580$	−6.60225	+	1.40335i	−0.274144	+	0.0582710i
$581$	3.81299	−	36.2782i	0.158190	−	1.50507i
$582$	3.53782	−	11.4244i	0.146647	−	0.473555i
$583$	1.54886	−	1.79989i	0.0641471	−	0.0745440i
$584$	6.98697			0.289123
$585$	−1.04261	−	2.93005i	−0.0431066	−	0.121143i
$586$	−10.3492	+	31.8515i	−0.427520	+	1.31577i
$587$	−22.4637	−	4.77482i	−0.927178	−	0.197078i	−0.280512	−	0.959851i	$-0.590504\pi$
$587$	−22.4637	−	4.77482i	−0.927178	−	0.197078i	−0.646666	+	0.762773i	$0.723837\pi$
$588$	18.8974	−	21.5815i	0.779316	−	0.890006i
$589$	26.6793	+	11.8784i	1.09930	+	0.489440i
$590$	−8.19337	+	9.09965i	−0.337316	+	0.374627i
$591$	21.4590	−	9.91256i	0.882706	−	0.407748i
$592$	3.37442	−	1.50239i	0.138688	−	0.0617478i
$593$	16.7648			0.688448			0.344224	−	0.938887i	$-0.388142\pi$
$593$	16.7648			0.688448			0.344224	+	0.938887i	$0.388142\pi$
$594$	−17.1984	+	1.10253i	−0.705658	+	0.0452373i
$595$	−32.1714			−1.31890
$596$	−18.3347	+	8.16313i	−0.751019	+	0.334375i
$597$	−24.4698	+	11.3033i	−1.00148	+	0.462614i
$598$	2.40741	−	2.67370i	0.0984462	−	0.109336i
$599$	−12.4561	−	5.54581i	−0.508942	−	0.226596i	0.136167	−	0.990686i	$-0.456521\pi$
$599$	−12.4561	−	5.54581i	−0.508942	−	0.226596i	−0.645109	+	0.764090i	$0.723188\pi$
$600$	1.14103	−	1.30309i	0.0465823	−	0.0531986i
$601$	3.17707	+	0.675306i	0.129595	+	0.0275463i	0.272253	−	0.962226i	$-0.412231\pi$
$601$	3.17707	+	0.675306i	0.129595	+	0.0275463i	−0.142657	+	0.989772i	$0.545565\pi$
$602$	12.9136	−	39.7441i	0.526320	−	1.61985i
$603$	12.9948	+	2.38799i	0.529191	+	0.0972463i
$604$	0.0889678			0.00362005
$605$	−9.18060	−	6.05942i	−0.373245	−	0.246350i
$606$	−6.97882	+	22.5361i	−0.283495	+	0.915465i
$607$	2.54351	−	24.1999i	0.103238	−	0.982244i	−0.813177	−	0.582016i	$-0.802264\pi$
$607$	2.54351	−	24.1999i	0.103238	−	0.982244i	0.916415	−	0.400228i	$-0.131069\pi$
$608$	3.78354	−	0.804216i	0.153443	−	0.0326153i
$609$	56.7428	−	0.786022i	2.29933	−	0.0318512i
$610$	−0.348955	−	3.32009i	−0.0141288	−	0.134426i
$611$	3.59549	−	2.61228i	0.145458	−	0.105681i
$612$	−13.7087	−	14.4019i	−0.554140	−	0.582164i
$613$	−9.76876	+	30.0651i	−0.394556	+	1.21432i	0.534750	+	0.845010i	$0.320406\pi$
$613$	−9.76876	+	30.0651i	−0.394556	+	1.21432i	−0.929306	+	0.369310i	$0.879594\pi$
$614$	6.66505	−	2.96747i	0.268979	−	0.119757i
$615$	18.8796	−	4.28713i	0.761299	−	0.172874i
$616$	13.2337	+	9.16783i	0.533200	+	0.369382i
$617$	24.1248	+	41.7854i	0.971228	+	1.68222i	0.691859	+	0.722033i	$0.256792\pi$
$617$	24.1248	+	41.7854i	0.971228	+	1.68222i	0.279369	+	0.960184i	$0.409875\pi$
$618$	−1.73645	−	14.5761i	−0.0698504	−	0.586337i
$619$	12.8414	+	14.2618i	0.516140	+	0.573232i	0.943720	−	0.330746i	$-0.107300\pi$
$619$	12.8414	+	14.2618i	0.516140	+	0.573232i	−0.427579	+	0.903978i	$0.640634\pi$
$620$	−2.33309	−	7.18053i	−0.0936993	−	0.288377i
$621$	17.4684	−	4.47891i	0.700983	−	0.179733i
$622$	−5.80475	+	4.21740i	−0.232749	+	0.169102i
$623$	−45.1957	−	9.60665i	−1.81073	−	0.384882i
$624$	−1.63006	+	0.752974i	−0.0652547	+	0.0301431i
$625$	−0.104528	+	0.994522i	−0.00418114	+	0.0397809i
$626$	8.20140	+	14.2052i	0.327794	+	0.567756i
$627$	22.2057	−	0.806775i	0.886810	−	0.0322195i
$628$	−3.79409	+	6.57156i	−0.151401	+	0.262234i
$629$	19.8058	+	14.3898i	0.789710	+	0.573758i
$630$	−11.5394	+	8.88245i	−0.459741	+	0.353885i
$631$	0.503302	+	1.54900i	0.0200361	+	0.0616649i	0.960575	−	0.278022i	$-0.0896789\pi$
$631$	0.503302	+	1.54900i	0.0200361	+	0.0616649i	−0.940539	+	0.339687i	$0.889679\pi$
$632$	0.305998	+	2.91137i	0.0121719	+	0.115808i
$633$	4.06807	+	11.9542i	0.161691	+	0.475138i
$634$	16.3400	−	18.1474i	0.648942	−	0.720724i
$635$	6.40932	−	1.36234i	0.254346	−	0.0540630i
$636$	0.993052	−	0.742725i	0.0393771	−	0.0294510i
$637$	8.58455	−	14.8689i	0.340132	−	0.589126i
$638$	2.83953	+	22.2056i	0.112418	+	0.879127i
$639$	−0.153263	+	1.98606i	−0.00606299	+	0.0785673i
$640$	−0.809017	−	0.587785i	−0.0319792	−	0.0232343i
$641$	−8.19012	−	9.09605i	−0.323490	−	0.359272i	0.559362	−	0.828924i	$-0.311046\pi$
$641$	−8.19012	−	9.09605i	−0.323490	−	0.359272i	−0.882852	+	0.469651i	$0.844380\pi$
$642$	11.9292	+	20.0165i	0.470809	+	0.789989i
$643$	−23.0932	−	10.2817i	−0.910706	−	0.405472i	−0.102745	−	0.994708i	$-0.532762\pi$
$643$	−23.0932	−	10.2817i	−0.910706	−	0.405472i	−0.807961	+	0.589235i	$0.799429\pi$
$644$	−15.3897	−	6.85195i	−0.606440	−	0.270005i
$645$	−7.27619	+	13.0158i	−0.286500	+	0.512497i
$646$	17.1542	+	19.0517i	0.674923	+	0.749578i
$647$	−24.3901	−	17.7204i	−0.958872	−	0.696661i	−0.00598349	−	0.999982i	$-0.501905\pi$
$647$	−24.3901	−	17.7204i	−0.958872	−	0.696661i	−0.952888	+	0.303321i	$0.901905\pi$
$648$	−8.89344	−	1.38083i	−0.349367	−	0.0542440i
$649$	27.8454	+	29.5621i	1.09303	+	1.16041i
$650$	0.518336	−	0.897785i	0.0203308	−	0.0352140i
$651$	7.50889	+	63.0310i	0.294296	+	2.47038i
$652$	7.54422	−	1.60357i	0.295454	−	0.0628008i
$653$	−15.2455	+	16.9319i	−0.596603	+	0.662595i	−0.963513	−	0.267662i	$-0.913749\pi$
$653$	−15.2455	+	16.9319i	−0.596603	+	0.662595i	0.366910	+	0.930256i	$0.380416\pi$
$654$	1.13248	−	1.29333i	0.0442833	−	0.0505731i
$655$	−0.538033	−	5.11904i	−0.0210227	−	0.200017i
$656$	−3.45408	−	10.6306i	−0.134859	−	0.415054i
$657$	19.3775	+	7.99189i	0.755990	+	0.311793i
$658$	−16.8353	−	12.2316i	−0.656308	−	0.476836i
$659$	20.2077	−	35.0007i	0.787179	−	1.36343i	−0.140510	−	0.990079i	$-0.544874\pi$
$659$	20.2077	−	35.0007i	0.787179	−	1.36343i	0.927689	−	0.373355i	$-0.121793\pi$
$660$	−3.99633	−	4.12666i	−0.155557	−	0.160630i
$661$	18.4901	+	32.0257i	0.719180	+	1.24566i	0.961325	+	0.275417i	$0.0888159\pi$
$661$	18.4901	+	32.0257i	0.719180	+	1.24566i	−0.242144	+	0.970240i	$0.577851\pi$
$662$	1.88489	−	17.9335i	0.0732583	−	0.697006i
$663$	−9.72374	−	6.86096i	−0.377639	−	0.266458i
$664$	7.35076	+	1.56245i	0.285265	+	0.0606349i
$665$	15.1899	−	11.0361i	0.589039	−	0.427962i
$666$	11.0770	−	0.306945i	0.429227	−	0.0118939i
$667$	−7.23881	−	22.2788i	−0.280288	−	0.862638i
$668$	14.1368	+	15.7005i	0.546968	+	0.607470i
$669$	−9.65491	−	4.13937i	−0.373280	−	0.160037i
$670$	2.20207	+	3.81410i	0.0850735	+	0.147352i
$671$	−11.0694	+	0.248709i	−0.427328	+	0.00960130i
$672$	5.71168	+	6.16943i	0.220333	+	0.237991i
$673$	−42.8829	+	19.0927i	−1.65301	+	0.735969i	−0.999776	−	0.0211827i	$-0.993257\pi$
$673$	−42.8829	+	19.0927i	−1.65301	+	0.735969i	−0.653239	+	0.757152i	$0.726590\pi$
$674$	−0.532238	+	1.63806i	−0.0205010	+	0.0630957i
$675$	4.65503	−	2.30884i	0.179172	−	0.0888673i
$676$	9.64778	−	7.00952i	0.371068	−	0.269597i
$677$	−2.46069	−	23.4119i	−0.0945721	−	0.899793i	−0.934228	−	0.356675i	$-0.883910\pi$
$677$	−2.46069	−	23.4119i	−0.0945721	−	0.899793i	0.839656	−	0.543118i	$-0.182756\pi$
$678$	10.3076	−	18.4385i	0.395862	−	0.708127i
$679$	−32.7842	+	6.96849i	−1.25814	+	0.267426i
$680$	0.692788	−	6.59144i	0.0265672	−	0.252770i
$681$	−32.1573	+	7.30219i	−1.23227	+	0.279821i
$682$	−24.3704	+	5.75513i	−0.933190	+	0.220375i
$683$	−38.6581			−1.47921			−0.739606	−	0.673040i	$-0.764988\pi$
$683$	−38.6581			−1.47921			−0.739606	+	0.673040i	$0.764988\pi$
$684$	11.4131	+	2.09732i	0.436390	+	0.0801929i
$685$	−2.59904	+	7.99903i	−0.0993044	+	0.305627i
$686$	−45.3989	−	9.64983i	−1.73334	−	0.368432i
$687$	6.31997	+	18.5715i	0.241122	+	0.708549i
$688$	7.86489	+	3.50167i	0.299846	+	0.133500i
$689$	0.496639	−	0.551573i	0.0189204	−	0.0210133i
$690$	4.91160	+	3.46557i	0.186981	+	0.131932i
$691$	−16.2030	+	7.21404i	−0.616391	+	0.274435i	−0.691087	−	0.722771i	$-0.742868\pi$
$691$	−16.2030	+	7.21404i	−0.616391	+	0.274435i	0.0746960	+	0.997206i	$0.476201\pi$
$692$	−10.5849			−0.402378
$693$	26.2156	+	40.5630i	0.995849	+	1.54086i
$694$	−11.0111			−0.417976
$695$	20.1250	−	8.96024i	0.763386	−	0.339881i
$696$	−1.06087	+	11.6427i	−0.0402122	+	0.441315i
$697$	49.5709	−	55.0541i	1.87763	−	2.08532i
$698$	9.70159	+	4.31943i	0.367211	+	0.163493i
$699$	3.04132	+	0.602550i	0.115033	+	0.0227905i
$700$	−4.74797	−	1.00921i	−0.179456	−	0.0381446i
$701$	−12.1048	+	37.2547i	−0.457191	+	1.40709i	0.411352	+	0.911476i	$0.365057\pi$
$701$	−12.1048	+	37.2547i	−0.457191	+	1.40709i	−0.868543	+	0.495613i	$0.834943\pi$
$702$	−5.38206	+	0.223777i	−0.203133	+	0.00844593i
$703$	−14.2877			−0.538872
$704$	−2.16333	+	2.51396i	−0.0815336	+	0.0947485i
$705$	5.04452	+	5.44880i	0.189988	+	0.205214i
$706$	−2.05821	+	19.5826i	−0.0774619	+	0.737001i
$707$	64.6711	−	13.7463i	2.43221	−	0.516982i
$708$	10.8577	+	18.2185i	0.408057	+	0.684695i
$709$	2.00023	+	19.0309i	0.0751203	+	0.714722i	0.965659	+	0.259814i	$0.0836612\pi$
$709$	2.00023	+	19.0309i	0.0751203	+	0.714722i	−0.890538	+	0.454908i	$0.849672\pi$
$710$	−0.537178	+	0.390282i	−0.0201599	+	0.0146470i
$711$	−2.48146	+	8.42436i	−0.0930620	+	0.315938i
$712$	2.94152	−	9.05307i	0.110238	−	0.339278i
$713$	23.9374	−	10.6576i	0.896463	−	0.399131i
$714$	−16.4835	+	53.2286i	−0.616879	+	1.99203i
$715$	−2.82630	−	1.95796i	−0.105698	−	0.0732237i
$716$	4.13990	+	7.17052i	0.154715	+	0.267975i
$717$	10.8255	−	8.09666i	0.404287	−	0.302375i
$718$	4.41030	+	4.89814i	0.164591	+	0.182797i
$719$	−11.9036	−	36.6355i	−0.443929	−	1.36627i	−0.883654	−	0.468141i	$-0.844924\pi$
$719$	−11.9036	−	36.6355i	−0.443929	−	1.36627i	0.439724	−	0.898133i	$-0.355076\pi$
$720$	−1.57139	−	2.55553i	−0.0585622	−	0.0952390i
$721$	−33.2815	+	24.1804i	−1.23947	+	0.900525i
$722$	3.94983	+	0.839561i	0.146997	+	0.0312452i
$723$	0.687444	−	7.54444i	0.0255663	−	0.280581i
$724$	0.561647	−	5.34371i	0.0208734	−	0.198598i
$725$	−3.37488	−	5.84546i	−0.125340	−	0.217095i
$726$	−14.7293	+	12.0850i	−0.546657	+	0.448516i
$727$	−20.8218	+	36.0644i	−0.772238	+	1.33755i	0.164096	+	0.986444i	$0.447529\pi$
$727$	−20.8218	+	36.0644i	−0.772238	+	1.33755i	−0.936334	+	0.351111i	$0.885804\pi$
$728$	4.07102	+	2.95777i	0.150882	+	0.109622i
$729$	−23.0855	−	14.0021i	−0.855019	−	0.518597i
$730$	2.15909	+	6.64500i	0.0799116	+	0.245943i
$731$	5.96435	+	56.7470i	0.220599	+	2.09886i
$732$	−5.67199	−	1.12374i	−0.209643	−	0.0415346i
$733$	−25.9140	+	28.7804i	−0.957156	+	1.06303i	0.0408029	+	0.999167i	$0.487008\pi$
$733$	−25.9140	+	28.7804i	−0.957156	+	1.06303i	−0.997959	+	0.0638620i	$0.979658\pi$
$734$	5.28216	−	1.12276i	0.194968	−	0.0414418i
$735$	26.3649	+	11.3035i	0.972482	+	0.416934i
$736$	1.73527	−	3.00558i	0.0639629	−	0.110787i
$737$	13.2072	−	6.23940i	0.486495	−	0.229831i
$738$	2.58005	−	33.4335i	0.0949728	−	1.23070i
$739$	−33.9099	−	24.6370i	−1.24740	−	0.906287i	−0.249329	−	0.968419i	$-0.580210\pi$
$739$	−33.9099	−	24.6370i	−1.24740	−	0.906287i	−0.998068	+	0.0621319i	$0.980210\pi$
$740$	2.47161	+	2.74500i	0.0908582	+	0.100908i
$741$	6.94472	−	0.0962007i	0.255120	−	0.00353402i
$742$	−3.17484	−	1.41353i	−0.116552	−	0.0518923i
$743$	21.5012	+	9.57296i	0.788803	+	0.351198i	0.761280	−	0.648423i	$-0.224571\pi$
$743$	21.5012	+	9.57296i	0.788803	+	0.351198i	0.0275234	+	0.999621i	$0.491238\pi$
$744$	−13.0758	+	0.181131i	−0.479383	+	0.00664059i
$745$	−13.4293	−	14.9148i	−0.492013	−	0.546436i
$746$	31.1693	+	22.6458i	1.14119	+	0.829123i
$747$	18.5993	+	12.7413i	0.680512	+	0.466179i
$748$	−21.5986	−	4.08613i	−0.789724	−	0.149404i
$749$	32.6512	−	56.5536i	1.19305	−	2.06642i
$750$	1.59191	+	0.682504i	0.0581285	+	0.0249215i
$751$	−0.167044	+	0.0355063i	−0.00609552	+	0.00129564i	−0.210958	−	0.977495i	$-0.567658\pi$
$751$	−0.167044	+	0.0355063i	−0.00609552	+	0.00129564i	0.204863	+	0.978791i	$0.434325\pi$
$752$	2.86860	−	3.18590i	0.104607	−	0.116178i
$753$	−26.3684	−	5.22414i	−0.960920	−	0.190378i
$754$	0.731415	+	6.95895i	0.0266366	+	0.253430i
$755$	0.0274925	+	0.0846134i	0.00100056	+	0.00307940i
$756$	8.78392	+	23.6434i	0.319468	+	0.859902i
$757$	11.0840	+	8.05300i	0.402855	+	0.292691i	0.770703	−	0.637195i	$-0.219905\pi$
$757$	11.0840	+	8.05300i	0.402855	+	0.292691i	−0.367848	+	0.929886i	$0.619905\pi$
$758$	−7.04553	+	12.2032i	−0.255905	+	0.443241i
$759$	12.7936	−	15.2905i	0.464376	−	0.555009i
$760$	1.93403	+	3.34984i	0.0701547	+	0.121512i
$761$	0.492660	−	4.68735i	0.0178589	−	0.169916i	−0.981957	−	0.189104i	$-0.939442\pi$
$761$	0.492660	−	4.68735i	0.0178589	−	0.169916i	0.999816	+	0.0191882i	$0.00610818\pi$
$762$	1.02987	−	11.3025i	0.0373083	−	0.409445i
$763$	−4.71238	−	1.00165i	−0.170600	−	0.0362621i
$764$	13.1672	−	9.56652i	0.476372	−	0.346105i
$765$	9.46084	−	17.4882i	0.342057	−	0.632286i
$766$	2.54391	+	7.82934i	0.0919151	+	0.282886i
$767$	8.49384	+	9.43336i	0.306695	+	0.340619i
$768$	−1.38702	+	1.03739i	−0.0500499	+	0.0374334i
$769$	−20.5956	−	35.6726i	−0.742695	−	1.28639i	−0.951264	−	0.308378i	$-0.900214\pi$
$769$	−20.5956	−	35.6726i	−0.742695	−	1.28639i	0.208569	−	0.978008i	$-0.433119\pi$
$770$	−4.62970	+	15.4190i	−0.166843	+	0.555662i
$771$	−4.38817	+	14.1703i	−0.158036	+	0.510331i
$772$	−20.3238	+	9.04874i	−0.731470	+	0.325671i
$773$	−3.67394	+	11.3072i	−0.132142	+	0.406692i	−0.995135	−	0.0985248i	$-0.968588\pi$
$773$	−3.67394	+	11.3072i	−0.132142	+	0.406692i	0.862992	+	0.505217i	$0.168588\pi$
$774$	17.8070	+	18.7076i	0.640061	+	0.672429i
$775$	6.10812	−	4.43781i	0.219410	−	0.159411i
$776$	−0.721757	−	6.86706i	−0.0259096	−	0.246513i
$777$	−15.8986	−	26.6769i	−0.570359	−	0.957028i
$778$	−18.5439	+	3.94163i	−0.664831	+	0.141314i
$779$	−4.51938	+	42.9990i	−0.161923	+	1.54060i
$780$	−1.21984	−	1.31760i	−0.0436772	−	0.0471776i
$781$	1.14366	+	1.88195i	0.0409234	+	0.0673413i
$782$	23.0019			0.822545
$783$	−16.2594	+	31.0762i	−0.581065	+	1.11057i
$784$	5.11786	−	15.7512i	0.182781	−	0.562541i
$785$	−7.42237	−	1.57767i	−0.264916	−	0.0563095i
$786$	−8.74529	−	1.73262i	−0.311934	−	0.0618007i
$787$	28.5738	+	12.7219i	1.01855	+	0.453486i	0.846945	−	0.531681i	$-0.178439\pi$
$787$	28.5738	+	12.7219i	1.01855	+	0.453486i	0.171601	+	0.985167i	$0.445106\pi$
$788$	9.13184	−	10.1419i	0.325308	−	0.361291i
$789$	1.82179	−	19.9935i	0.0648574	−	0.711786i
$790$	−2.67432	+	1.19068i	−0.0951481	+	0.0423627i
$791$	−59.1998			−2.10490
$792$	−8.87529	+	4.49770i	−0.315370	+	0.159819i
$793$	−3.46080			−0.122897
$794$	16.2558	−	7.23756i	0.576898	−	0.256852i
$795$	1.01324	+	0.714933i	0.0359361	+	0.0253561i
$796$	−10.4131	+	11.5649i	−0.369081	+	0.409906i
$797$	2.81679	+	1.25412i	0.0997758	+	0.0444231i	0.456018	−	0.889971i	$-0.349275\pi$
$797$	2.81679	+	1.25412i	0.0997758	+	0.0444231i	−0.356242	+	0.934394i	$0.615942\pi$
$798$	−10.4768	−	30.7867i	−0.370876	−	1.08984i
$799$	27.7926	+	5.90751i	0.983232	+	0.208993i
$800$	0.309017	−	0.951057i	0.0109254	−	0.0336249i
$801$	18.5131	−	21.7430i	0.654129	−	0.768253i
$802$	−13.6850			−0.483236
$803$	22.5528	−	5.32591i	0.795872	−	0.187947i
$804$	7.43883	−	1.68919i	0.262347	−	0.0595732i
$805$	1.76090	−	16.7539i	0.0620637	−	0.590496i
$806$	−7.65590	+	1.62731i	−0.269667	+	0.0573196i
$807$	4.09651	−	7.32793i	0.144204	−	0.257955i
$808$	1.42376	+	13.5462i	0.0500877	+	0.476553i
$809$	−34.8810	+	25.3425i	−1.22635	+	0.890996i	−0.996611	−	0.0822557i	$-0.973788\pi$
$809$	−34.8810	+	25.3425i	−1.22635	+	0.890996i	−0.229740	+	0.973252i	$0.573788\pi$
$810$	−1.43498	−	8.88487i	−0.0504201	−	0.312182i
$811$	−5.15542	+	15.8667i	−0.181031	+	0.557157i	−0.999857	−	0.0168846i	$-0.994625\pi$
$811$	−5.15542	+	15.8667i	−0.181031	+	0.557157i	0.818826	+	0.574042i	$0.194625\pi$
$812$	29.9310	−	13.3262i	1.05037	−	0.467656i
$813$	2.99811	+	3.23838i	0.105148	+	0.113575i
$814$	9.74688	−	7.42167i	0.341628	−	0.260129i
$815$	3.85638	+	6.67945i	0.135083	+	0.233971i
$816$	−10.5508	−	4.52347i	−0.369352	−	0.158353i
$817$	−22.2827	−	24.7474i	−0.779572	−	0.865802i
$818$	3.87645	+	11.9305i	0.135537	+	0.417140i
$819$	7.90732	+	12.8596i	0.276304	+	0.449350i
$820$	9.04290	−	6.57005i	0.315792	−	0.229436i
$821$	34.1469	+	7.25815i	1.19174	+	0.253311i	0.760748	−	0.649047i	$-0.224832\pi$
$821$	34.1469	+	7.25815i	1.19174	+	0.253311i	0.430987	+	0.902358i	$0.358165\pi$
$822$	11.9030	+	8.39863i	0.415165	+	0.292936i
$823$	3.71133	−	35.3109i	0.129369	−	1.23086i	−0.716544	−	0.697542i	$-0.754277\pi$
$823$	3.71133	−	35.3109i	0.129369	−	1.23086i	0.845913	−	0.533321i	$-0.179056\pi$
$824$	−4.23752	−	7.33959i	−0.147621	−	0.255687i
$825$	2.68976	−	5.07594i	0.0936453	−	0.176722i
$826$	29.7184	−	51.4737i	1.03403	−	1.79100i
$827$	22.3248	+	16.2199i	0.776310	+	0.564022i	0.903869	−	0.427809i	$-0.140714\pi$
$827$	22.3248	+	16.2199i	0.776310	+	0.564022i	−0.127560	+	0.991831i	$0.540714\pi$
$828$	8.25043	−	6.35077i	0.286722	−	0.220704i
$829$	−7.43679	−	22.8881i	−0.258290	−	0.794936i	−0.993164	−	0.116732i	$-0.962758\pi$
$829$	−7.43679	−	22.8881i	−0.258290	−	0.794936i	0.734873	−	0.678205i	$-0.237242\pi$
$830$	0.785529	+	7.47381i	0.0272661	+	0.259420i
$831$	27.1268	−	30.9798i	0.941019	−	1.07468i
$832$	−0.693669	+	0.770398i	−0.0240487	+	0.0267087i
$833$	107.368	−	22.8218i	3.72009	−	0.790730i
$834$	−4.51365	−	37.8885i	−0.156295	−	1.31197i
$835$	−10.5635	+	18.2966i	−0.365566	+	0.633179i
$836$	11.5996	−	5.47993i	0.401182	−	0.189527i
$837$	−36.4715	−	14.4541i	−1.26064	−	0.499608i
$838$	3.62890	+	2.63655i	0.125358	+	0.0910781i
$839$	20.9708	+	23.2905i	0.723993	+	0.804076i	0.987000	−	0.160718i	$-0.0513809\pi$
$839$	20.9708	+	23.2905i	0.723993	+	0.804076i	−0.263007	+	0.964794i	$0.584714\pi$
$840$	−4.10247	+	7.33859i	−0.141549	+	0.253206i
$841$	15.1275	+	6.73522i	0.521640	+	0.232249i
$842$	−28.9672	−	12.8970i	−0.998276	−	0.444461i
$843$	−23.3617	−	39.1995i	−0.804620	−	1.35010i
$844$	4.87827	+	5.41787i	0.167917	+	0.186491i
$845$	9.64778	+	7.00952i	0.331894	+	0.241135i
$846$	11.5999	−	5.55455i	0.398811	−	0.190969i
$847$	49.7045	+	19.5048i	1.70787	+	0.670191i
$848$	0.357980	−	0.620039i	0.0122931	−	0.0212922i
$849$	29.6085	−	22.1448i	1.01616	−	0.760008i
$850$	6.48292	−	1.37799i	0.222362	−	0.0472645i
$851$	−8.57782	+	9.52664i	−0.294044	+	0.326569i
$852$	0.370504	+	1.08875i	0.0126933	+	0.0372998i
$853$	3.27093	+	31.1208i	0.111994	+	1.06556i	0.895772	+	0.444514i	$0.146624\pi$
$853$	3.27093	+	31.1208i	0.111994	+	1.06556i	−0.783778	+	0.621042i	$0.786710\pi$
$854$	5.00751	+	15.4115i	0.171353	+	0.527371i
$855$	1.53217	+	11.5026i	0.0523992	+	0.393381i
$856$	10.8839	+	7.90760i	0.372003	+	0.270276i
$857$	−18.2500	+	31.6099i	−0.623407	+	1.07977i	0.365440	+	0.930835i	$0.380919\pi$
$857$	−18.2500	+	31.6099i	−0.623407	+	1.07977i	−0.988847	+	0.148937i	$0.952415\pi$
$858$	−4.68761	+	3.67302i	−0.160033	+	0.125395i
$859$	−18.8016	−	32.5654i	−0.641503	−	1.11112i	−0.985097	−	0.171998i	$-0.944978\pi$
$859$	−18.8016	−	32.5654i	−0.641503	−	1.11112i	0.343594	−	0.939118i	$-0.388355\pi$
$860$	−0.899905	+	8.56203i	−0.0306865	+	0.291963i
$861$	−85.3132	+	39.4087i	−2.90746	+	1.34305i
$862$	21.4914	+	4.56815i	0.732001	+	0.155592i
$863$	−23.6791	+	17.2039i	−0.806045	+	0.585626i	−0.912681	−	0.408672i	$-0.865992\pi$
$863$	−23.6791	+	17.2039i	−0.806045	+	0.585626i	0.106636	+	0.994298i	$0.465992\pi$
$864$	−5.03334	+	1.29055i	−0.171238	+	0.0439055i
$865$	−3.27092	−	10.0668i	−0.111214	−	0.342283i
$866$	−13.0424	−	14.4850i	−0.443197	−	0.492220i
$867$	−5.51709	−	46.3115i	−0.187370	−	1.57282i
$868$	18.3241	+	31.7383i	0.621962	+	1.07727i
$869$	3.20694	+	9.16420i	0.108788	+	0.310874i
$870$	−11.4007	+	2.58884i	−0.386519	+	0.0877698i
$871$	4.17094	−	1.85702i	0.141327	−	0.0629227i
$872$	0.306701	−	0.943928i	0.0103862	−	0.0319654i
$873$	5.85302	−	19.8706i	0.198095	−	0.672516i
$874$	−10.8605	+	7.89059i	−0.367361	+	0.266903i
$875$	−0.507386	−	4.82745i	−0.0171528	−	0.163198i
$876$	12.1006	−	0.167622i	0.408842	−	0.00566343i
$877$	−15.8128	+	3.36111i	−0.533960	+	0.113497i	−0.466997	−	0.884259i	$-0.654664\pi$
$877$	−15.8128	+	3.36111i	−0.533960	+	0.113497i	−0.0669627	+	0.997755i	$0.521331\pi$
$878$	2.41969	−	23.0218i	0.0816606	−	0.776948i
$879$	−17.1594	+	55.4114i	−0.578773	+	1.86898i
$880$	−3.05942	−	1.28059i	−0.103133	−	0.0431688i
$881$	13.3765			0.450664			0.225332	−	0.974282i	$-0.427653\pi$
$881$	13.3765			0.450664			0.225332	+	0.974282i	$0.427653\pi$
$882$	32.2104	−	37.8300i	1.08458	−	1.27380i
$883$	0.882077	−	2.71475i	0.0296842	−	0.0913587i	−0.935117	−	0.354340i	$-0.884706\pi$
$883$	0.882077	−	2.71475i	0.0296842	−	0.0913587i	0.964801	+	0.262981i	$0.0847057\pi$
$884$	−6.72066	−	1.42852i	−0.226040	−	0.0480463i
$885$	−13.9717	+	15.9561i	−0.469652	+	0.536359i
$886$	−27.0072	−	12.0244i	−0.907326	−	0.403967i
$887$	−2.12172	+	2.35640i	−0.0712403	+	0.0791203i	−0.777711	−	0.628622i	$-0.783619\pi$
$887$	−2.12172	+	2.35640i	−0.0712403	+	0.0791203i	0.706471	+	0.707742i	$0.250286\pi$
$888$	5.80806	−	2.68292i	0.194906	−	0.0900329i
$889$	−29.0564	+	12.9367i	−0.974520	+	0.433884i
$890$	9.51896			0.319076
$891$	−29.7592	+	2.32205i	−0.996970	+	0.0777917i
$892$	−6.06497			−0.203070
$893$	−15.1490	+	6.74476i	−0.506941	+	0.225705i
$894$	−31.5577	+	14.5775i	−1.05545	+	0.487543i
$895$	−5.54027	+	6.15309i	−0.185191	+	0.205675i
$896$	4.43439	+	1.97432i	0.148143	+	0.0659573i
$897$	4.10521	−	4.68829i	0.137069	−	0.156537i
$898$	−29.5659	−	6.28442i	−0.986626	−	0.209714i
$899$	−15.7478	+	48.4668i	−0.525219	+	1.61646i
$900$	1.94487	−	2.28418i	0.0648289	−	0.0761394i
$901$	4.74520			0.158085
$902$	−19.2525	−	31.6809i	−0.641038	−	1.05486i
$903$	21.4114	−	69.1419i	0.712528	−	2.30090i
$904$	1.27483	−	12.1292i	0.0424001	−	0.403410i
$905$	5.25573	−	1.11714i	0.174706	−	0.0371350i
$906$	0.154082	−	0.00213440i	0.00511903	−	7.09106e-5i
$907$	0.100353	+	0.954791i	0.00333215	+	0.0317033i	0.996062	−	0.0886635i	$-0.0282596\pi$
$907$	0.100353	+	0.954791i	0.00333215	+	0.0317033i	−0.992729	+	0.120367i	$0.961593\pi$
$908$	−15.4026	+	11.1906i	−0.511153	+	0.371375i
$909$	−11.5459	+	39.1973i	−0.382952	+	1.30009i
$910$	−1.55499	+	4.78577i	−0.0515474	+	0.158647i
$911$	12.0125	−	5.34829i	0.397990	−	0.177197i	−0.197975	−	0.980207i	$-0.563436\pi$
$911$	12.0125	−	5.34829i	0.397990	−	0.177197i	0.595965	+	0.803010i	$0.296770\pi$
$912$	6.53336	−	1.48358i	0.216341	−	0.0491262i
$913$	24.9181	−	0.559865i	0.824668	−	0.0185288i
$914$	5.42925	+	9.40374i	0.179584	+	0.311048i
$915$	−0.684002	−	5.74164i	−0.0226124	−	0.189813i
$916$	7.57867	+	8.41696i	0.250406	+	0.278104i
$917$	7.72076	+	23.7621i	0.254962	+	0.784692i
$918$	−24.0874	−	24.6136i	−0.795001	−	0.812370i
$919$	22.6928	−	16.4873i	0.748568	−	0.543866i	−0.146815	−	0.989164i	$-0.546902\pi$
$919$	22.6928	−	16.4873i	0.748568	−	0.543866i	0.895383	+	0.445298i	$0.146902\pi$
$920$	3.39470	+	0.721566i	0.111920	+	0.0237893i
$921$	11.4719	−	5.29922i	0.378012	−	0.174615i
$922$	3.03523	−	28.8783i	0.0999600	−	0.951056i
$923$	0.344169	+	0.596118i	0.0113285	+	0.0196215i
$924$	23.1391	+	15.5601i	0.761222	+	0.511891i
$925$	−1.84688	+	3.19889i	−0.0607251	+	0.105179i
$926$	−29.2499	−	21.2513i	−0.961211	−	0.698361i
$927$	−3.35703	−	25.2025i	−0.110259	−	0.827758i
$928$	2.08579	+	6.41940i	0.0684694	+	0.210727i
$929$	2.36020	+	22.4558i	0.0774356	+	0.736751i	0.962500	+	0.271282i	$0.0874476\pi$
$929$	2.36020	+	22.4558i	0.0774356	+	0.736751i	−0.885064	+	0.465469i	$0.845886\pi$
$930$	−4.21292	−	12.3799i	−0.138147	−	0.405952i
$931$	−42.8658	+	47.6073i	−1.40487	+	1.56027i
$932$	1.75092	−	0.372170i	0.0573534	−	0.0121908i
$933$	−9.95197	+	7.44330i	−0.325813	+	0.243683i
$934$	−0.846245	+	1.46574i	−0.0276900	+	0.0479605i
$935$	−2.78820	−	21.8042i	−0.0911839	−	0.713074i
$936$	−2.80501	+	1.34317i	−0.0916847	+	0.0439029i
$937$	26.9835	+	19.6047i	0.881512	+	0.640456i	0.933651	−	0.358184i	$-0.116604\pi$
$937$	26.9835	+	19.6047i	0.881512	+	0.640456i	−0.0521389	+	0.998640i	$0.516604\pi$
$938$	−14.3046	−	15.8869i	−0.467062	−	0.518725i
$939$	14.5447	+	24.4051i	0.474647	+	0.796430i
$940$	3.91642	+	1.74370i	0.127740	+	0.0568733i
$941$	−23.2154	−	10.3362i	−0.756802	−	0.336950i	−0.00819694	−	0.999966i	$-0.502609\pi$
$941$	−23.2154	−	10.3362i	−0.756802	−	0.336950i	−0.748605	+	0.663017i	$0.769276\pi$
$942$	−6.41327	+	11.4722i	−0.208956	+	0.373785i
$943$	25.9572	+	28.8284i	0.845283	+	0.938782i
$944$	9.90624	+	7.19731i	0.322421	+	0.234252i
$945$	−19.7718	+	15.6602i	−0.643177	+	0.509427i
$946$	28.0558	+	5.30773i	0.912173	+	0.172569i
$947$	−1.83164	+	3.17250i	−0.0595204	+	0.103092i	−0.894250	−	0.447567i	$-0.852290\pi$
$947$	−1.83164	+	3.17250i	−0.0595204	+	0.103092i	0.834730	+	0.550660i	$0.185624\pi$
$948$	0.599799	+	5.03482i	0.0194805	+	0.163523i
$949$	7.08492	−	1.50595i	0.229986	−	0.0488851i
$950$	−2.58824	+	2.87453i	−0.0839736	+	0.0932622i
$951$	27.8635	−	31.8211i	0.903537	−	1.03187i
$952$	3.36282	+	31.9951i	0.108990	+	1.03697i
$953$	−6.25713	−	19.2575i	−0.202688	−	0.623810i	−0.999800	−	0.0199791i	$-0.993640\pi$
$953$	−6.25713	−	19.2575i	−0.202688	−	0.623810i	0.797112	−	0.603831i	$-0.206360\pi$
$954$	1.70203	−	1.31014i	0.0551053	−	0.0424173i
$955$	13.1672	+	9.56652i	0.426080	+	0.309565i
$956$	3.90244	−	6.75922i	0.126214	−	0.218609i
$957$	5.45046	+	38.3894i	0.176188	+	1.24095i
$958$	9.80223	+	16.9780i	0.316696	+	0.548533i
$959$	4.26746	−	40.6022i	0.137803	−	1.31111i
$960$	−1.41523	−	0.998567i	−0.0456762	−	0.0322286i
$961$	−25.4351	−	5.40639i	−0.820486	−	0.174400i
$962$	3.09791	−	2.25076i	0.0998805	−	0.0725675i
$963$	21.1402	+	34.3801i	0.681235	+	1.10788i
$964$	−1.35159	−	4.15976i	−0.0435317	−	0.133977i
$965$	−14.8863	−	16.5329i	−0.479206	−	0.532212i
$966$	−26.8176	−	11.4976i	−0.862843	−	0.369928i
$967$	3.49045	+	6.04563i	0.112245	+	0.194414i	0.916675	−	0.399633i	$-0.130862\pi$
$967$	3.49045	+	6.04563i	0.112245	+	0.194414i	−0.804430	+	0.594047i	$0.797529\pi$
$968$	−5.06659	+	9.76369i	−0.162846	+	0.313817i
$969$	30.1662	+	32.5838i	0.969077	+	1.04674i
$970$	6.30792	−	2.80847i	0.202535	−	0.0901745i
$971$	−14.2275	+	43.7877i	−0.456582	+	1.40521i	0.412686	+	0.910873i	$0.364591\pi$
$971$	−14.2275	+	43.7877i	−0.456582	+	1.40521i	−0.869268	+	0.494341i	$0.835409\pi$
$972$	−15.4355	−	2.17807i	−0.495095	−	0.0698617i
$973$	−86.5103	+	62.8534i	−2.77339	+	2.01499i
$974$	3.92800	+	37.3724i	0.125861	+	1.19749i
$975$	0.876160	−	1.56730i	0.0280596	−	0.0501936i
$976$	−3.26543	+	0.694088i	−0.104524	+	0.0222172i
$977$	1.99134	−	18.9463i	0.0637085	−	0.606146i	−0.915363	−	0.402629i	$-0.868096\pi$
$977$	1.99134	−	18.9463i	0.0637085	−	0.606146i	0.979072	−	0.203516i	$-0.0652370\pi$
$978$	13.0272	−	2.95819i	0.416565	−	0.0945926i
$979$	2.59394	−	31.4641i	0.0829027	−	1.00560i
$980$	16.5617			0.529045
$981$	1.93029	−	2.26706i	0.0616294	−	0.0723817i
$982$	3.77397	−	11.6151i	0.120432	−	0.370652i
$983$	−7.24570	−	1.54012i	−0.231102	−	0.0491223i	0.0909048	−	0.995860i	$-0.471024\pi$
$983$	−7.24570	−	1.54012i	−0.231102	−	0.0491223i	−0.322007	+	0.946737i	$0.604357\pi$
$984$	−6.23710	−	18.3280i	−0.198832	−	0.584277i
$985$	12.4674	+	5.55086i	0.397246	+	0.176865i
$986$	−29.9340	+	33.2451i	−0.953293	+	1.05874i
$987$	−29.4502	−	20.7797i	−0.937411	−	0.661427i
$988$	3.66324	−	1.63098i	0.116543	−	0.0518884i
$989$	−29.8785			−0.950082
$990$	−7.02018	−	7.05103i	−0.223116	−	0.224097i
$991$	48.3897			1.53715			0.768575	−	0.639760i	$-0.220966\pi$
$991$	48.3897			1.53715			0.768575	+	0.639760i	$0.220966\pi$
$992$	−6.89732	+	3.07088i	−0.218990	+	0.0975006i
$993$	2.83417	−	31.1040i	0.0899397	−	0.987056i
$994$	2.15663	−	2.39518i	0.0684040	−	0.0759704i
$995$	−14.2167	−	6.32967i	−0.450699	−	0.200664i
$996$	12.7681	+	2.52964i	0.404574	+	0.0801546i
$997$	37.6762	+	8.00833i	1.19322	+	0.253626i	0.761368	−	0.648320i	$-0.224528\pi$
$997$	37.6762	+	8.00833i	1.19322	+	0.253626i	0.431849	+	0.901946i	$0.357861\pi$
$998$	−7.46075	+	22.9618i	−0.236166	+	0.726844i
$999$	19.1768	−	0.797340i	0.606727	−	0.0252267i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	990.2.bg.a.961.9	yes	88
9.4	even	3	inner	990.2.bg.a.301.5	✓	88
11.3	even	5	inner	990.2.bg.a.421.5	yes	88
99.58	even	15	inner	990.2.bg.a.751.9	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
990.2.bg.a.301.5	✓	88	9.4	even	3	inner
990.2.bg.a.421.5	yes	88	11.3	even	5	inner
990.2.bg.a.751.9	yes	88	99.58	even	15	inner
990.2.bg.a.961.9	yes	88	1.1	even	1	trivial

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 990 = 2 \cdot 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	990.bg (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.913545 - 0.406737i) q^{2} +(1.57240 - 0.726338i) q^{3} +(0.669131 - 0.743145i) q^{4} +(0.913545 + 0.406737i) q^{5} +(1.14103 - 1.30309i) q^{6} +(-4.74797 - 1.00921i) q^{7} +(0.309017 - 0.951057i) q^{8} +(1.94487 - 2.28418i) q^{9} +1.00000 q^{10} +(0.272502 - 3.30541i) q^{11} +(0.512365 - 1.65453i) q^{12} +(0.108362 - 1.03099i) q^{13} +(-4.74797 + 1.00921i) q^{14} +(1.73188 - 0.0239907i) q^{15} +(-0.104528 - 0.994522i) q^{16} +(5.36196 - 3.89569i) q^{17} +(0.847664 - 2.87775i) q^{18} +(-1.19530 + 3.67875i) q^{19} +(0.913545 - 0.406737i) q^{20} +(-8.19873 + 1.86175i) q^{21} +(-1.09549 - 3.13048i) q^{22} +(1.73527 + 3.00558i) q^{23} +(-0.204891 - 1.71989i) q^{24} +(0.669131 + 0.743145i) q^{25} +(-0.320349 - 0.985934i) q^{26} +(1.39902 - 5.00427i) q^{27} +(-3.92700 + 2.85314i) q^{28} +(-6.60225 - 1.40335i) q^{29} +(1.57240 - 0.726338i) q^{30} +(0.789195 - 7.50869i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-1.97236 - 5.39535i) q^{33} +(3.31387 - 5.73980i) q^{34} +(-3.92700 - 2.85314i) q^{35} +(-0.396108 - 2.97373i) q^{36} +(1.14144 + 3.51298i) q^{37} +(0.404323 + 3.84688i) q^{38} +(-0.578462 - 1.69984i) q^{39} +(0.669131 - 0.743145i) q^{40} +(10.9334 - 2.32396i) q^{41} +(-6.73267 + 5.03551i) q^{42} +(-4.30459 + 7.45578i) q^{43} +(-2.27406 - 2.41426i) q^{44} +(2.70579 - 1.29566i) q^{45} +(2.80773 + 2.03993i) q^{46} +(2.86860 + 3.18590i) q^{47} +(-0.886719 - 1.48786i) q^{48} +(15.1299 + 6.73627i) q^{49} +(0.913545 + 0.406737i) q^{50} +(5.60155 - 10.0202i) q^{51} +(-0.693669 - 0.770398i) q^{52} +(0.579223 + 0.420830i) q^{53} +(-0.757356 - 5.14066i) q^{54} +(1.59338 - 2.90881i) q^{55} +(-2.42702 + 4.20373i) q^{56} +(0.792530 + 6.65265i) q^{57} +(-6.60225 + 1.40335i) q^{58} +(-8.19337 + 9.09965i) q^{59} +(1.14103 - 1.30309i) q^{60} +(-0.348955 - 3.32009i) q^{61} +(-2.33309 - 7.18053i) q^{62} +(-11.5394 + 8.88245i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(0.518336 - 0.897785i) q^{65} +(-3.99633 - 4.12666i) q^{66} +(2.20207 + 3.81410i) q^{67} +(0.692788 - 6.59144i) q^{68} +(4.91160 + 3.46557i) q^{69} +(-4.74797 - 1.00921i) q^{70} +(-0.537178 + 0.390282i) q^{71} +(-1.57139 - 2.55553i) q^{72} +(2.15909 + 6.64500i) q^{73} +(2.47161 + 2.74500i) q^{74} +(1.59191 + 0.682504i) q^{75} +(1.93403 + 3.34984i) q^{76} +(-4.62970 + 15.4190i) q^{77} +(-1.21984 - 1.31760i) q^{78} +(-2.67432 + 1.19068i) q^{79} +(0.309017 - 0.951057i) q^{80} +(-1.43498 - 8.88487i) q^{81} +(9.04290 - 6.57005i) q^{82} +(0.785529 + 7.47381i) q^{83} +(-4.10247 + 7.33859i) q^{84} +(6.48292 - 1.37799i) q^{85} +(-0.899905 + 8.56203i) q^{86} +(-11.4007 + 2.58884i) q^{87} +(-3.05942 - 1.28059i) q^{88} +9.51896 q^{89} +(1.94487 - 2.28418i) q^{90} +(-1.55499 + 4.78577i) q^{91} +(3.39470 + 0.721566i) q^{92} +(-4.21292 - 12.3799i) q^{93} +(3.91642 + 1.74370i) q^{94} +(-2.58824 + 2.87453i) q^{95} +(-1.41523 - 0.998567i) q^{96} +(6.30792 - 2.80847i) q^{97} +16.5617 q^{98} +(-7.02018 - 7.05103i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q + 11 q^{2} - 8 q^{3} + 11 q^{4} + 11 q^{5} + q^{6} - 2 q^{7} - 22 q^{8} + 6 q^{9} + 88 q^{10} + 3 q^{11} + 2 q^{12} + 2 q^{13} - 2 q^{14} + 7 q^{15} + 11 q^{16} + 18 q^{17} - 6 q^{18} + 12 q^{19}+ \cdots - 128 q^{99}+O(q^{100}) \) 88 * q + 11 * q^2 - 8 * q^3 + 11 * q^4 + 11 * q^5 + q^6 - 2 * q^7 - 22 * q^8 + 6 * q^9 + 88 * q^10 + 3 * q^11 + 2 * q^12 + 2 * q^13 - 2 * q^14 + 7 * q^15 + 11 * q^16 + 18 * q^17 - 6 * q^18 + 12 * q^19 + 11 * q^20 + 36 * q^21 + 3 * q^22 + 46 * q^23 + 7 * q^24 + 11 * q^25 + 26 * q^26 + 16 * q^27 + 4 * q^28 - 9 * q^29 - 8 * q^30 - 20 * q^31 - 44 * q^32 + 35 * q^33 + 26 * q^34 + 4 * q^35 + 15 * q^36 + 4 * q^37 + 4 * q^38 - 33 * q^39 + 11 * q^40 + 22 * q^41 - 29 * q^42 - 2 * q^43 + 14 * q^44 + 8 * q^46 - 16 * q^47 + q^48 - 5 * q^49 + 11 * q^50 - 13 * q^51 - 13 * q^52 + 64 * q^53 - 4 * q^54 + 4 * q^55 + 8 * q^56 - 25 * q^57 - 9 * q^58 - 27 * q^59 + q^60 + 4 * q^61 + q^63 - 22 * q^64 + 22 * q^65 + 40 * q^66 - 6 * q^67 - 9 * q^68 - 54 * q^69 - 2 * q^70 + 52 * q^71 + 6 * q^72 - 22 * q^73 - 2 * q^74 + q^75 + 4 * q^76 + 12 * q^77 - 32 * q^78 + 2 * q^79 - 22 * q^80 - 30 * q^81 + 36 * q^82 + 33 * q^83 + 8 * q^84 - 4 * q^85 - 17 * q^86 - 192 * q^87 + 3 * q^88 - 76 * q^89 + 6 * q^90 - 24 * q^91 - 19 * q^92 - 28 * q^93 - q^94 - 6 * q^95 + 7 * q^96 - 38 * q^97 - 128 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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