LMFDB - Embedded newform 287.2.u.a.8.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("287.8");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.u (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$20$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			8.18
Character	$\chi$	$=$	287.8
Dual form			287.2.u.a.36.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.40653 - 1.93593i) q^{2} +(-2.19462 - 2.19462i) q^{3} +(-1.15144 - 3.54378i) q^{4} +(-0.741595 + 0.240959i) q^{5} +(-7.33543 + 1.16182i) q^{6} +(0.987688 + 0.156434i) q^{7} +(-3.92839 - 1.27641i) q^{8} +6.63271i q^{9} +O(q^{10})$	\(q+(1.40653 - 1.93593i) q^{2} +(-2.19462 - 2.19462i) q^{3} +(-1.15144 - 3.54378i) q^{4} +(-0.741595 + 0.240959i) q^{5} +(-7.33543 + 1.16182i) q^{6} +(0.987688 + 0.156434i) q^{7} +(-3.92839 - 1.27641i) q^{8} +6.63271i q^{9} +(-0.576599 + 1.77459i) q^{10} +(1.03405 - 0.526873i) q^{11} +(-5.25026 + 10.3042i) q^{12} +(-1.02148 - 6.44937i) q^{13} +(1.69206 - 1.69206i) q^{14} +(2.15633 + 1.09871i) q^{15} +(-1.96743 + 1.42942i) q^{16} +(-0.274327 - 0.538397i) q^{17} +(12.8404 + 9.32912i) q^{18} +(-0.699657 + 4.41746i) q^{19} +(1.70781 + 2.35060i) q^{20} +(-1.82429 - 2.51091i) q^{21} +(0.434433 - 2.74290i) q^{22} +(3.50981 + 2.55003i) q^{23} +(5.82009 + 11.4226i) q^{24} +(-3.55318 + 2.58154i) q^{25} +(-13.9223 - 7.09374i) q^{26} +(7.97241 - 7.97241i) q^{27} +(-0.582898 - 3.68027i) q^{28} +(0.571165 - 1.12097i) q^{29} +(5.15997 - 2.62913i) q^{30} +(1.17027 - 3.60173i) q^{31} -2.44180i q^{32} +(-3.42563 - 1.11305i) q^{33} +(-1.42815 - 0.226196i) q^{34} +(-0.770159 + 0.121981i) q^{35} +(23.5048 - 7.63718i) q^{36} +(-3.16515 - 9.74132i) q^{37} +(7.56779 + 7.56779i) q^{38} +(-11.9122 + 16.3957i) q^{39} +3.22084 q^{40} +(-5.69628 - 2.92446i) q^{41} -7.42686 q^{42} +(-1.36069 + 1.87282i) q^{43} +(-3.05777 - 3.05777i) q^{44} +(-1.59821 - 4.91879i) q^{45} +(9.87334 - 3.20804i) q^{46} +(2.39663 - 0.379590i) q^{47} +(7.45478 + 1.18072i) q^{48} +(0.951057 + 0.309017i) q^{49} +10.5097i q^{50} +(-0.579534 + 1.78362i) q^{51} +(-21.6789 + 11.0460i) q^{52} +(5.98725 - 11.7506i) q^{53} +(-4.22054 - 26.6475i) q^{54} +(-0.639890 + 0.639890i) q^{55} +(-3.68035 - 1.87523i) q^{56} +(11.2301 - 8.15917i) q^{57} +(-1.36676 - 2.68242i) q^{58} +(8.91302 + 6.47569i) q^{59} +(1.41068 - 8.90666i) q^{60} +(8.53637 + 11.7493i) q^{61} +(-5.32666 - 7.33152i) q^{62} +(-1.03758 + 6.55105i) q^{63} +(-8.66200 - 6.29331i) q^{64} +(2.31156 + 4.53669i) q^{65} +(-6.97304 + 5.06621i) q^{66} +(3.26701 + 1.66463i) q^{67} +(-1.59209 + 1.59209i) q^{68} +(-2.10636 - 13.2990i) q^{69} +(-0.847108 + 1.66254i) q^{70} +(7.91263 - 4.03169i) q^{71} +(8.46607 - 26.0559i) q^{72} +10.4320i q^{73} +(-23.3104 - 7.57400i) q^{74} +(13.4634 + 2.13239i) q^{75} +(16.4601 - 2.60702i) q^{76} +(1.10374 - 0.358626i) q^{77} +(14.9860 + 46.1221i) q^{78} +(4.74227 + 4.74227i) q^{79} +(1.11460 - 1.53412i) q^{80} -15.0947 q^{81} +(-13.6735 + 6.91423i) q^{82} +4.78333 q^{83} +(-6.79756 + 9.35603i) q^{84} +(0.333171 + 0.333171i) q^{85} +(1.71180 + 5.26838i) q^{86} +(-3.71360 + 1.20662i) q^{87} +(-4.73465 + 0.749895i) q^{88} +(4.36743 + 0.691733i) q^{89} +(-11.7703 - 3.82442i) q^{90} -6.52976i q^{91} +(4.99538 - 15.3742i) q^{92} +(-10.4727 + 5.33613i) q^{93} +(2.63609 - 5.17361i) q^{94} +(-0.545564 - 3.44456i) q^{95} +(-5.35882 + 5.35882i) q^{96} +(-2.56361 - 1.30622i) q^{97} +(1.93593 - 1.40653i) q^{98} +(3.49460 + 6.85853i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	1.40653	−	1.93593i	0.994569	−	1.36891i	0.0659701	−	0.997822i	$-0.478986\pi$
$2$	1.40653	−	1.93593i	0.994569	−	1.36891i	0.928599	−	0.371085i	$-0.121014\pi$
$3$	−2.19462	−	2.19462i	−1.26706	−	1.26706i	−0.947598	−	0.319467i	$-0.896496\pi$
$3$	−2.19462	−	2.19462i	−1.26706	−	1.26706i	−0.319467	−	0.947598i	$-0.603504\pi$
$4$	−1.15144	−	3.54378i	−0.575721	−	1.77189i
$5$	−0.741595	+	0.240959i	−0.331652	+	0.107760i	−0.470109	−	0.882608i	$-0.655785\pi$
$5$	−0.741595	+	0.240959i	−0.331652	+	0.107760i	0.138458	+	0.990368i	$0.455785\pi$
$6$	−7.33543	+	1.16182i	−2.99468	+	0.474310i
$7$	0.987688	+	0.156434i	0.373311	+	0.0591267i
$7$	0.987688	+	0.156434i	0.373311	+	0.0591267i
$8$	−3.92839	−	1.27641i	−1.38890	−	0.451280i
$9$			6.63271i			2.21090i
$10$	−0.576599	+	1.77459i	−0.182337	+	0.561175i
$11$	1.03405	−	0.526873i	0.311777	−	0.158858i	−0.291100	−	0.956693i	$-0.594021\pi$
$11$	1.03405	−	0.526873i	0.311777	−	0.158858i	0.602877	+	0.797834i	$0.294021\pi$
$12$	−5.25026	+	10.3042i	−1.51562	+	2.97457i
$13$	−1.02148	−	6.44937i	−0.283308	−	1.78873i	−0.560743	−	0.827990i	$-0.689485\pi$
$13$	−1.02148	−	6.44937i	−0.283308	−	1.78873i	0.277436	−	0.960744i	$-0.410515\pi$
$14$	1.69206	−	1.69206i	0.452223	−	0.452223i
$15$	2.15633	+	1.09871i	0.556763	+	0.283685i
$16$	−1.96743	+	1.42942i	−0.491856	+	0.357355i
$17$	−0.274327	−	0.538397i	−0.0665341	−	0.130581i	0.855344	−	0.518060i	$-0.173346\pi$
$17$	−0.274327	−	0.538397i	−0.0665341	−	0.130581i	−0.921878	+	0.387480i	$0.873346\pi$
$18$	12.8404	+	9.32912i	3.02652	+	2.19890i
$19$	−0.699657	+	4.41746i	−0.160512	+	1.01344i	0.767544	+	0.640996i	$0.221478\pi$
$19$	−0.699657	+	4.41746i	−0.160512	+	1.01344i	−0.928057	+	0.372439i	$0.878522\pi$
$20$	1.70781	+	2.35060i	0.381878	+	0.525609i
$21$	−1.82429	−	2.51091i	−0.398092	−	0.547926i
$22$	0.434433	−	2.74290i	0.0926215	−	0.584789i
$23$	3.50981	+	2.55003i	0.731847	+	0.531718i	0.890147	−	0.455673i	$-0.150601\pi$
$23$	3.50981	+	2.55003i	0.731847	+	0.531718i	−0.158300	+	0.987391i	$0.550601\pi$
$24$	5.82009	+	11.4226i	1.18802	+	2.33162i
$25$	−3.55318	+	2.58154i	−0.710637	+	0.516308i
$26$	−13.9223	−	7.09374i	−2.73038	−	1.39120i
$27$	7.97241	−	7.97241i	1.53429	−	1.53429i
$28$	−0.582898	−	3.68027i	−0.110157	−	0.695506i
$29$	0.571165	−	1.12097i	0.106063	−	0.208160i	−0.831875	−	0.554962i	$-0.812733\pi$
$29$	0.571165	−	1.12097i	0.106063	−	0.208160i	0.937938	+	0.346803i	$0.112733\pi$
$30$	5.15997	−	2.62913i	0.942077	−	0.480012i
$31$	1.17027	−	3.60173i	0.210187	−	0.646890i	−0.789273	−	0.614043i	$-0.789542\pi$
$31$	1.17027	−	3.60173i	0.210187	−	0.646890i	0.999460	−	0.0328478i	$-0.0104577\pi$
$32$		−	2.44180i		−	0.431653i
$33$	−3.42563	−	1.11305i	−0.596325	−	0.193758i
$34$	−1.42815	−	0.226196i	−0.244925	−	0.0387924i
$35$	−0.770159	+	0.121981i	−0.130181	+	0.0206186i
$36$	23.5048	−	7.63718i	3.91747	−	1.27286i
$37$	−3.16515	−	9.74132i	−0.520347	−	1.60146i	−0.773337	−	0.633995i	$-0.781414\pi$
$37$	−3.16515	−	9.74132i	−0.520347	−	1.60146i	0.252990	−	0.967469i	$-0.418586\pi$
$38$	7.56779	+	7.56779i	1.22766	+	1.22766i
$39$	−11.9122	+	16.3957i	−1.90747	+	2.62541i
$40$	3.22084			0.509260
$41$	−5.69628	−	2.92446i	−0.889609	−	0.456723i
$41$	−5.69628	−	2.92446i	−0.889609	−	0.456723i
$42$	−7.42686			−1.14599
$43$	−1.36069	+	1.87282i	−0.207503	+	0.285603i	−0.900065	−	0.435755i	$-0.856482\pi$
$43$	−1.36069	+	1.87282i	−0.207503	+	0.285603i	0.692563	+	0.721358i	$0.256482\pi$
$44$	−3.05777	−	3.05777i	−0.460976	−	0.460976i
$45$	−1.59821	−	4.91879i	−0.238247	−	0.733249i
$46$	9.87334	−	3.20804i	1.45574	−	0.473000i
$47$	2.39663	−	0.379590i	0.349585	−	0.0553688i	0.0208272	−	0.999783i	$-0.493370\pi$
$47$	2.39663	−	0.379590i	0.349585	−	0.0553688i	0.328758	+	0.944414i	$0.393370\pi$
$48$	7.45478	+	1.18072i	1.07600	+	0.170422i
$49$	0.951057	+	0.309017i	0.135865	+	0.0441453i
$50$			10.5097i			1.48630i
$51$	−0.579534	+	1.78362i	−0.0811509	+	0.249757i
$52$	−21.6789	+	11.0460i	−3.00633	+	1.53180i
$53$	5.98725	−	11.7506i	0.822411	−	1.61407i	0.0336023	−	0.999435i	$-0.489302\pi$
$53$	5.98725	−	11.7506i	0.822411	−	1.61407i	0.788809	−	0.614638i	$-0.210698\pi$
$54$	−4.22054	−	26.6475i	−0.574343	−	3.62626i
$55$	−0.639890	+	0.639890i	−0.0862827	+	0.0862827i
$56$	−3.68035	−	1.87523i	−0.491808	−	0.250589i
$57$	11.2301	−	8.15917i	1.48747	−	1.08071i
$58$	−1.36676	−	2.68242i	−0.179465	−	0.352219i
$59$	8.91302	+	6.47569i	1.16038	+	0.843062i	0.989826	−	0.142287i	$-0.0454454\pi$
$59$	8.91302	+	6.47569i	1.16038	+	0.843062i	0.170550	+	0.985349i	$0.445445\pi$
$60$	1.41068	−	8.90666i	0.182117	−	1.14984i
$61$	8.53637	+	11.7493i	1.09297	+	1.50434i	0.844386	+	0.535734i	$0.179965\pi$
$61$	8.53637	+	11.7493i	1.09297	+	1.50434i	0.248584	+	0.968610i	$0.420035\pi$
$62$	−5.32666	−	7.33152i	−0.676487	−	0.931104i
$63$	−1.03758	+	6.55105i	−0.130723	+	0.825355i
$64$	−8.66200	−	6.29331i	−1.08275	−	0.786664i
$65$	2.31156	+	4.53669i	0.286714	+	0.562707i
$66$	−6.97304	+	5.06621i	−0.858322	+	0.623608i
$67$	3.26701	+	1.66463i	0.399129	+	0.203366i	0.642021	−	0.766687i	$-0.278096\pi$
$67$	3.26701	+	1.66463i	0.399129	+	0.203366i	−0.242892	+	0.970053i	$0.578096\pi$
$68$	−1.59209	+	1.59209i	−0.193069	+	0.193069i
$69$	−2.10636	−	13.2990i	−0.253576	−	1.60102i
$70$	−0.847108	+	1.66254i	−0.101249	+	0.198712i
$71$	7.91263	−	4.03169i	0.939057	−	0.478473i	0.0836873	−	0.996492i	$-0.473330\pi$
$71$	7.91263	−	4.03169i	0.939057	−	0.478473i	0.855369	+	0.518019i	$0.173330\pi$
$72$	8.46607	−	26.0559i	0.997736	−	3.07072i
$73$			10.4320i			1.22097i	0.792029	+	0.610484i	$0.209025\pi$
$73$			10.4320i			1.22097i	−0.792029	+	0.610484i	$0.790975\pi$
$74$	−23.3104	−	7.57400i	−2.70978	−	0.880459i
$75$	13.4634	+	2.13239i	1.55462	+	0.246227i
$76$	16.4601	−	2.60702i	1.88810	−	0.299046i
$77$	1.10374	−	0.358626i	0.125783	−	0.0408692i
$78$	14.9860	+	46.1221i	1.69683	+	5.22230i
$79$	4.74227	+	4.74227i	0.533547	+	0.533547i	0.921626	−	0.388079i	$-0.126861\pi$
$79$	4.74227	+	4.74227i	0.533547	+	0.533547i	−0.388079	+	0.921626i	$0.626861\pi$
$80$	1.11460	−	1.53412i	0.124616	−	0.171520i
$81$	−15.0947			−1.67719
$82$	−13.6735	+	6.91423i	−1.50999	+	0.763549i
$83$	4.78333			0.525039			0.262519	−	0.964927i	$-0.415447\pi$
$83$	4.78333			0.525039			0.262519	+	0.964927i	$0.415447\pi$
$84$	−6.79756	+	9.35603i	−0.741674	+	1.02083i
$85$	0.333171	+	0.333171i	0.0361375	+	0.0361375i
$86$	1.71180	+	5.26838i	0.184588	+	0.568104i
$87$	−3.71360	+	1.20662i	−0.398140	+	0.129363i
$88$	−4.73465	+	0.749895i	−0.504716	+	0.0799391i
$89$	4.36743	+	0.691733i	0.462947	+	0.0733236i	0.383551	−	0.923520i	$-0.374701\pi$
$89$	4.36743	+	0.691733i	0.462947	+	0.0733236i	0.0793956	+	0.996843i	$0.474701\pi$
$90$	−11.7703	−	3.82442i	−1.24070	−	0.403129i
$91$		−	6.52976i		−	0.684505i
$92$	4.99538	−	15.3742i	0.520805	−	1.60287i
$93$	−10.4727	+	5.33613i	−1.08597	+	0.553331i
$94$	2.63609	−	5.17361i	0.271892	−	0.533617i
$95$	−0.545564	−	3.44456i	−0.0559737	−	0.353404i
$96$	−5.35882	+	5.35882i	−0.546932	+	0.546932i
$97$	−2.56361	−	1.30622i	−0.260295	−	0.132627i	0.318974	−	0.947764i	$-0.396662\pi$
$97$	−2.56361	−	1.30622i	−0.260295	−	0.132627i	−0.579269	+	0.815137i	$0.696662\pi$
$98$	1.93593	−	1.40653i	0.195558	−	0.142081i
$99$	3.49460	+	6.85853i	0.351220	+	0.689308i
$100$	13.2397	+	9.61919i	1.32397	+	0.961919i
$101$	2.76136	−	17.4345i	0.274765	−	1.73480i	−0.335000	−	0.942218i	$-0.608736\pi$
$101$	2.76136	−	17.4345i	0.274765	−	1.73480i	0.609765	−	0.792582i	$-0.291264\pi$
$102$	2.63783	+	3.63066i	0.261184	+	0.359489i
$103$	−2.17781	−	2.99750i	−0.214586	−	0.295352i	0.688132	−	0.725586i	$-0.258431\pi$
$103$	−2.17781	−	2.99750i	−0.214586	−	0.295352i	−0.902718	+	0.430234i	$0.858431\pi$
$104$	−4.21928	+	26.6395i	−0.413735	+	2.61222i
$105$	1.95791	+	1.42250i	0.191072	+	0.138822i
$106$	−14.3271	−	28.1185i	−1.39157	−	2.73111i
$107$	0.126658	−	0.0920222i	0.0122445	−	0.00889612i	−0.581646	−	0.813442i	$-0.697591\pi$
$107$	0.126658	−	0.0920222i	0.0122445	−	0.00889612i	0.593891	+	0.804546i	$0.297591\pi$
$108$	−37.4322	−	19.0727i	−3.60192	−	1.83527i
$109$	−8.95096	+	8.95096i	−0.857346	+	0.857346i	−0.991025	−	0.133678i	$-0.957321\pi$
$109$	−8.95096	+	8.95096i	−0.857346	+	0.857346i	0.133678	+	0.991025i	$0.457321\pi$
$110$	0.338753	+	2.13880i	0.0322989	+	0.203927i
$111$	−14.4322	+	28.3248i	−1.36984	+	2.68847i
$112$	−2.16681	+	1.10405i	−0.204745	+	0.104323i
$113$	−2.27109	+	6.98968i	−0.213646	+	0.657534i	0.785601	+	0.618733i	$0.212354\pi$
$113$	−2.27109	+	6.98968i	−0.213646	+	0.657534i	−0.999247	+	0.0388009i	$0.987646\pi$
$114$		−	33.2168i		−	3.11104i
$115$	−3.21731	−	1.04537i	−0.300016	−	0.0974811i
$116$	−4.63014	−	0.733343i	−0.429898	−	0.0680892i
$117$	42.7768	−	6.77518i	3.95472	−	0.626366i
$118$	25.0729	−	8.14668i	2.30815	−	0.749963i
$119$	−0.186726	−	0.574683i	−0.0171171	−	0.0526811i
$120$	−7.06852	−	7.06852i	−0.645265	−	0.645265i
$121$	−5.67398	+	7.80956i	−0.515816	+	0.709960i
$122$	34.7525			3.14634
$123$	6.08309	+	18.9192i	0.548494	+	1.70589i
$124$	−14.1112			−1.26723
$125$	4.30463	−	5.92482i	0.385018	−	0.529932i
$126$	11.2230	+	11.2230i	0.999820	+	0.999820i
$127$	1.92499	+	5.92452i	0.170816	+	0.525716i	0.999418	−	0.0341216i	$-0.0108634\pi$
$127$	1.92499	+	5.92452i	0.170816	+	0.525716i	−0.828602	+	0.559838i	$0.810863\pi$
$128$	−19.7222	+	6.40813i	−1.74321	+	0.566404i
$129$	7.09632	−	1.12395i	0.624796	−	0.0989580i
$130$	12.0340	+	1.90600i	1.05545	+	0.167167i
$131$	−2.37807	−	0.772681i	−0.207773	−	0.0675095i	0.203281	−	0.979120i	$-0.434839\pi$
$131$	−2.37807	−	0.772681i	−0.207773	−	0.0675095i	−0.411054	+	0.911611i	$0.634839\pi$
$132$			13.4213i			1.16817i
$133$	−1.38209	+	4.25362i	−0.119842	+	0.368836i
$134$	7.81775	−	3.98334i	0.675351	−	0.344109i
$135$	−3.99128	+	7.83333i	−0.343515	+	0.674186i
$136$	0.390448	+	2.46519i	0.0334806	+	0.211388i
$137$	11.4298	−	11.4298i	0.976512	−	0.976512i	−0.0232182	−	0.999730i	$-0.507391\pi$
$137$	11.4298	−	11.4298i	0.976512	−	0.976512i	0.999730	+	0.0232182i	$0.00739124\pi$
$138$	−28.7086	−	14.6278i	−2.44384	−	1.24520i
$139$	−4.96843	+	3.60977i	−0.421416	+	0.306177i	−0.778207	−	0.628007i	$-0.783871\pi$
$139$	−4.96843	+	3.60977i	−0.421416	+	0.306177i	0.356791	+	0.934184i	$0.383871\pi$
$140$	1.31907	+	2.58882i	0.111482	+	0.218795i
$141$	−6.09275	−	4.42664i	−0.513102	−	0.372791i
$142$	3.32433	−	20.9890i	0.278971	−	1.76136i
$143$	−4.45426	−	6.13076i	−0.372484	−	0.512680i
$144$	−9.48092	−	13.0494i	−0.790076	−	1.08745i
$145$	−0.153464	+	0.968936i	−0.0127445	+	0.0804658i
$146$	20.1955	+	14.6729i	1.67139	+	1.21434i
$147$	−1.40903	−	2.76538i	−0.116215	−	0.228085i
$148$	−30.8766	+	22.4331i	−2.53804	+	1.84399i
$149$	9.93920	+	5.06428i	0.814251	+	0.414882i	0.810952	−	0.585113i	$-0.198950\pi$
$149$	9.93920	+	5.06428i	0.814251	+	0.414882i	0.00329921	+	0.999995i	$0.498950\pi$
$150$	23.0648	−	23.0648i	1.88324	−	1.88324i
$151$	−2.59979	−	16.4144i	−0.211568	−	1.33579i	−0.833415	−	0.552648i	$-0.813617\pi$
$151$	−2.59979	−	16.4144i	−0.211568	−	1.33579i	0.621847	−	0.783139i	$-0.286383\pi$
$152$	8.38703	−	16.4605i	0.680278	−	1.33512i
$153$	3.57103	−	1.81953i	0.288701	−	0.147100i
$154$	0.858169	−	2.64117i	0.0691532	−	0.212832i
$155$			2.95302i			0.237192i
$156$	71.8188	+	23.3353i	5.75010	+	1.86832i
$157$	8.84566	+	1.40101i	0.705960	+	0.111813i	0.499084	−	0.866554i	$-0.333670\pi$
$157$	8.84566	+	1.40101i	0.705960	+	0.111813i	0.206877	+	0.978367i	$0.433670\pi$
$158$	15.8508	−	2.51053i	1.26103	−	0.199727i
$159$	−38.9279	+	12.6484i	−3.08718	+	1.00309i
$160$	0.588374	+	1.81083i	0.0465150	+	0.143158i
$161$	3.06769	+	3.06769i	0.241768	+	0.241768i
$162$	−21.2312	+	29.2222i	−1.66808	+	2.29591i
$163$	−1.73628			−0.135996			−0.0679981	−	0.997685i	$-0.521661\pi$
$163$	−1.73628			−0.135996			−0.0679981	+	0.997685i	$0.521661\pi$
$164$	−3.80468	+	23.5537i	−0.297096	+	1.83923i
$165$	2.80863			0.218651
$166$	6.72791	−	9.26018i	0.522187	−	0.718729i
$167$	16.7206	+	16.7206i	1.29388	+	1.29388i	0.932370	+	0.361505i	$0.117737\pi$
$167$	16.7206	+	16.7206i	1.29388	+	1.29388i	0.361505	+	0.932370i	$0.382263\pi$
$168$	3.96155	+	12.1924i	0.305640	+	0.940664i
$169$	−28.1872	+	9.15859i	−2.16825	+	0.704507i
$170$	1.11361	−	0.176379i	0.0854101	−	0.0135276i
$171$	−29.2997	−	4.64062i	−2.24061	−	0.354877i
$172$	8.20362	+	2.66552i	0.625520	+	0.203244i
$173$			14.8362i			1.12798i	0.825783	+	0.563988i	$0.190734\pi$
$173$			14.8362i			1.12798i	−0.825783	+	0.563988i	$0.809266\pi$
$174$	−2.88737	+	8.88641i	−0.218891	+	0.673677i
$175$	−3.91328	+	1.99391i	−0.295816	+	0.150726i
$176$	−1.28129	+	2.51467i	−0.0965807	+	0.189550i
$177$	−5.34901	−	33.7723i	−0.402056	−	2.53848i
$178$	7.48208	−	7.48208i	0.560806	−	0.560806i
$179$	−0.458453	−	0.233593i	−0.0342664	−	0.0174596i	0.436773	−	0.899572i	$-0.356121\pi$
$179$	−0.458453	−	0.233593i	−0.0342664	−	0.0174596i	−0.471040	+	0.882112i	$0.656121\pi$
$180$	−15.5908	+	11.3274i	−1.16207	+	0.844294i
$181$	−5.19589	−	10.1975i	−0.386207	−	0.757974i	0.613284	−	0.789862i	$-0.289848\pi$
$181$	−5.19589	−	10.1975i	−0.386207	−	0.757974i	−0.999491	+	0.0318881i	$0.989848\pi$
$182$	−12.6411	−	9.18433i	−0.937024	−	0.680788i
$183$	7.05117	−	44.5193i	0.521238	−	3.29097i
$184$	−10.5330	−	14.4975i	−0.776506	−	1.06877i
$185$	4.69452	+	6.46145i	0.345148	+	0.475055i
$186$	−4.39990	+	27.7799i	−0.322617	+	2.03692i
$187$	−0.567334	−	0.412193i	−0.0414876	−	0.0301425i
$188$	−4.10477	−	8.05606i	−0.299371	−	0.587548i
$189$	9.12142	−	6.62710i	0.663486	−	0.482051i
$190$	−7.43576	−	3.78871i	−0.539447	−	0.274862i
$191$	−13.0767	+	13.0767i	−0.946200	+	0.946200i	−0.998625	−	0.0524249i	$-0.983305\pi$
$191$	−13.0767	+	13.0767i	−0.946200	+	0.946200i	0.0524249	+	0.998625i	$0.483305\pi$
$192$	5.19837	+	32.8212i	0.375160	+	2.36867i
$193$	−0.505782	+	0.992654i	−0.0364070	+	0.0714528i	−0.908493	−	0.417899i	$-0.862767\pi$
$193$	−0.505782	+	0.992654i	−0.0364070	+	0.0714528i	0.872086	+	0.489352i	$0.162767\pi$
$194$	−6.13455	+	3.12571i	−0.440435	+	0.224413i
$195$	4.88331	−	15.0293i	0.349701	−	1.07627i
$196$		−	3.72615i		−	0.266153i
$197$	−14.7261	−	4.78481i	−1.04919	−	0.340903i	−0.266841	−	0.963741i	$-0.585980\pi$
$197$	−14.7261	−	4.78481i	−1.04919	−	0.340903i	−0.782351	+	0.622837i	$0.785980\pi$
$198$	18.1929	+	2.88147i	1.29291	+	0.204777i
$199$	−24.2663	+	3.84341i	−1.72019	+	0.272452i	−0.937001	−	0.349327i	$-0.886410\pi$
$199$	−24.2663	+	3.84341i	−1.72019	+	0.272452i	−0.783193	+	0.621779i	$0.786410\pi$
$200$	17.2534	−	5.60597i	1.22000	−	0.396402i
$201$	−3.51663	−	10.8231i	−0.248044	−	0.763400i
$202$	−29.8680	−	29.8680i	−2.10151	−	2.10151i
$203$	0.739492	−	1.01782i	0.0519022	−	0.0714372i
$204$	6.98805			0.489262
$205$	4.92901	+	0.796194i	0.344257	+	0.0556086i
$206$	−8.86610			−0.617730
$207$	−16.9136	+	23.2796i	−1.17558	+	1.61804i
$208$	11.2285	+	11.2285i	0.778559	+	0.778559i
$209$	1.60396	+	4.93649i	0.110948	+	0.341464i
$210$	5.50773	−	1.78957i	0.380069	−	0.123492i
$211$	−4.54803	+	0.720337i	−0.313099	+	0.0495901i	−0.311007	−	0.950408i	$-0.600666\pi$
$211$	−4.54803	+	0.720337i	−0.313099	+	0.0495901i	−0.00209275	+	0.999998i	$0.500666\pi$
$212$	−48.5356	−	7.68728i	−3.33344	−	0.527965i
$213$	−26.2132	−	8.51719i	−1.79610	−	0.583589i
$214$		−	0.374632i		−	0.0256093i
$215$	0.557805	−	1.71675i	0.0380420	−	0.117081i
$216$	−41.4949	+	21.1427i	−2.82337	+	1.43858i
$217$	1.71930	−	3.37432i	0.116714	−	0.229064i
$218$	4.73858	+	29.9182i	0.320937	+	2.02632i
$219$	22.8942	−	22.8942i	1.54704	−	1.54704i
$220$	3.00442	+	1.53083i	0.202558	+	0.103208i
$221$	−3.19211	+	2.31920i	−0.214724	+	0.156006i
$222$	34.5353	+	67.7794i	2.31786	+	4.54906i
$223$	18.5961	+	13.5108i	1.24528	+	0.904752i	0.997939	−	0.0641759i	$-0.0204419\pi$
$223$	18.5961	+	13.5108i	1.24528	+	0.904752i	0.247345	+	0.968927i	$0.420442\pi$
$224$	0.381982	−	2.41174i	0.0255222	−	0.161141i
$225$	−17.1226	−	23.5672i	−1.14151	−	1.57115i
$226$	10.3372	+	14.2279i	0.687617	+	0.946424i
$227$	0.667915	−	4.21705i	0.0443310	−	0.279895i	−0.955558	−	0.294804i	$-0.904746\pi$
$227$	0.667915	−	4.21705i	0.0443310	−	0.279895i	0.999889	+	0.0149086i	$0.00474572\pi$
$228$	−41.8451	−	30.4022i	−2.77126	−	2.01344i
$229$	6.45715	+	12.6729i	0.426700	+	0.837447i	0.999838	+	0.0179877i	$0.00572596\pi$
$229$	6.45715	+	12.6729i	0.426700	+	0.837447i	−0.573138	+	0.819459i	$0.694274\pi$
$230$	−6.54901	+	4.75814i	−0.431829	+	0.313742i
$231$	−3.20933	−	1.63524i	−0.211158	−	0.107591i
$232$	−3.67459	+	3.67459i	−0.241248	+	0.241248i
$233$	0.874000	+	5.51822i	0.0572576	+	0.361510i	0.999636	+	0.0269627i	$0.00858354\pi$
$233$	0.874000	+	5.51822i	0.0572576	+	0.361510i	−0.942379	+	0.334548i	$0.891416\pi$
$234$	47.0507	−	92.3423i	3.07580	−	6.03660i
$235$	−1.68587	+	0.858992i	−0.109974	+	0.0560345i
$236$	12.6855	−	39.0421i	0.825759	−	2.54142i
$237$		−	20.8150i		−	1.35208i
$238$	−1.37518	−	0.446823i	−0.0891397	−	0.0289632i
$239$	3.60231	+	0.570549i	0.233014	+	0.0369058i	0.271849	−	0.962340i	$-0.412365\pi$
$239$	3.60231	+	0.570549i	0.233014	+	0.0369058i	−0.0388354	+	0.999246i	$0.512365\pi$
$240$	−5.81294	+	0.920679i	−0.375223	+	0.0594296i
$241$	0.521669	−	0.169500i	0.0336036	−	0.0109185i	−0.292167	−	0.956367i	$-0.594376\pi$
$241$	0.521669	−	0.169500i	0.0336036	−	0.0109185i	0.325771	+	0.945449i	$0.394376\pi$
$242$	7.13810	+	21.9688i	0.458855	+	1.41221i
$243$	9.20988	+	9.20988i	0.590814	+	0.590814i
$244$	31.8078	−	43.7796i	2.03628	−	2.80270i
$245$	−0.779760			−0.0498170
$246$	45.1823	+	14.8341i	2.88072	+	0.945787i
$247$	29.2045			1.85824
$248$	−9.19460	+	12.6553i	−0.583857	+	0.803611i
$249$	−10.4976	−	10.4976i	−0.665258	−	0.665258i
$250$	−5.41541	−	16.6669i	−0.342500	−	1.05411i
$251$	4.60434	−	1.49604i	0.290623	−	0.0944293i	−0.160077	−	0.987105i	$-0.551174\pi$
$251$	4.60434	−	1.49604i	0.290623	−	0.0944293i	0.450700	+	0.892675i	$0.351174\pi$
$252$	24.4102	−	3.86619i	1.53770	−	0.243547i
$253$	4.97285	+	0.787623i	0.312641	+	0.0495174i
$254$	14.1770	+	4.60639i	0.889545	+	0.289031i
$255$		−	1.46237i		−	0.0915771i
$256$	−8.71707	+	26.8284i	−0.544817	+	1.67677i
$257$	−13.7045	+	6.98277i	−0.854861	+	0.435573i	−0.825772	−	0.564003i	$-0.809260\pi$
$257$	−13.7045	+	6.98277i	−0.854861	+	0.435573i	−0.0290885	+	0.999577i	$0.509260\pi$
$258$	7.80533	−	15.3188i	0.485939	−	0.953708i
$259$	−1.60230	−	10.1165i	−0.0995621	−	0.628610i
$260$	13.4154	−	13.4154i	0.831987	−	0.831987i
$261$	7.43509	+	3.78837i	0.460221	+	0.234494i
$262$	−4.84069	+	3.51696i	−0.299059	+	0.217279i
$263$	7.97502	+	15.6519i	0.491761	+	0.965135i	0.994894	+	0.100926i	$0.0321806\pi$
$263$	7.97502	+	15.6519i	0.491761	+	0.965135i	−0.503133	+	0.864209i	$0.667819\pi$
$264$	12.0365	+	8.74502i	0.740795	+	0.538219i
$265$	−1.60869	+	10.1569i	−0.0988213	+	0.623933i
$266$	6.29075	+	8.65848i	0.385711	+	0.530886i
$267$	−8.06676	−	11.1029i	−0.493677	−	0.679489i
$268$	2.13728	−	13.4943i	0.130555	−	0.824294i
$269$	0.173157	+	0.125806i	0.0105575	+	0.00767051i	0.593052	−	0.805165i	$-0.297923\pi$
$269$	0.173157	+	0.125806i	0.0105575	+	0.00767051i	−0.582494	+	0.812835i	$0.697923\pi$
$270$	9.55088	+	18.7447i	0.581248	+	1.14076i
$271$	8.05568	−	5.85279i	0.489348	−	0.355532i	−0.315586	−	0.948897i	$-0.602201\pi$
$271$	8.05568	−	5.85279i	0.489348	−	0.355532i	0.804933	+	0.593365i	$0.202201\pi$
$272$	1.30931	+	0.667129i	0.0793888	+	0.0404506i
$273$	−14.3303	+	14.3303i	−0.867312	+	0.867312i
$274$	−6.05085	−	38.2036i	−0.365545	−	2.30796i
$275$	−2.31401	+	4.54151i	−0.139540	+	0.273863i
$276$	−44.7035	+	22.7776i	−2.69083	+	1.37105i
$277$	−6.76402	+	20.8175i	−0.406411	+	1.25080i	0.513301	+	0.858209i	$0.328422\pi$
$277$	−6.76402	+	20.8175i	−0.406411	+	1.25080i	−0.919712	+	0.392595i	$0.871578\pi$
$278$			14.6958i			0.881394i
$279$	23.8892	+	7.76209i	1.43021	+	0.464704i
$280$	3.18119	+	0.503851i	0.190112	+	0.0301108i
$281$	8.13665	−	1.28872i	0.485392	−	0.0768786i	0.0910578	−	0.995846i	$-0.470975\pi$
$281$	8.13665	−	1.28872i	0.485392	−	0.0768786i	0.394334	+	0.918967i	$0.370975\pi$
$282$	−17.1393	+	5.56890i	−1.02063	+	0.331623i
$283$	−7.40505	−	22.7904i	−0.440185	−	1.35475i	−0.887679	−	0.460462i	$-0.847684\pi$
$283$	−7.40505	−	22.7904i	−0.440185	−	1.35475i	0.447495	−	0.894287i	$-0.352316\pi$
$284$	−23.3983	−	23.3983i	−1.38844	−	1.38844i
$285$	−6.36219	+	8.75680i	−0.376863	+	0.518708i
$286$	−18.1338			−1.07227
$287$	−5.16866	−	3.77954i	−0.305096	−	0.223099i
$288$	16.1957			0.954344
$289$	9.77773	−	13.4579i	0.575161	−	0.791641i
$290$	1.65994	+	1.65994i	0.0974749	+	0.0974749i
$291$	2.75948	+	8.49280i	0.161763	+	0.497857i
$292$	36.9685	−	12.0118i	2.16342	−	0.702937i
$293$	−6.73132	+	1.06614i	−0.393248	+	0.0622843i	−0.349927	−	0.936777i	$-0.613794\pi$
$293$	−6.73132	+	1.06614i	−0.393248	+	0.0622843i	−0.0433205	+	0.999061i	$0.513794\pi$
$294$	−7.33543	−	1.16182i	−0.427811	−	0.0677586i
$295$	−8.17023	−	2.65467i	−0.475689	−	0.154561i
$296$			42.3078i			2.45909i
$297$	4.04340	−	12.4443i	0.234622	−	0.722091i
$298$	23.7839	−	12.1185i	1.37776	−	0.702005i
$299$	12.8609	−	25.2409i	0.743764	−	1.45972i
$300$	−7.94559	−	50.1665i	−0.458739	−	2.89636i
$301$	−1.63691	+	1.63691i	−0.0943498	+	0.0943498i
$302$	−35.4338	−	18.0544i	−2.03899	−	1.03892i
$303$	−44.3223	+	32.2020i	−2.54625	+	1.84996i
$304$	−4.93788	−	9.69113i	−0.283207	−	0.555825i
$305$	−9.16164	−	6.65632i	−0.524594	−	0.381140i
$306$	1.50030	−	9.47249i	0.0857662	−	0.541506i
$307$	9.63638	+	13.2633i	0.549977	+	0.756979i	0.990009	−	0.141003i	$-0.0450329\pi$
$307$	9.63638	+	13.2633i	0.549977	+	0.756979i	−0.440032	+	0.897982i	$0.645033\pi$
$308$	−2.54178	−	3.49846i	−0.144831	−	0.199343i
$309$	−1.79890	+	11.3578i	−0.102336	+	0.646124i
$310$	5.71682	+	4.15351i	0.324694	+	0.235904i
$311$	2.94711	+	5.78402i	0.167115	+	0.327982i	0.959343	−	0.282244i	$-0.0910787\pi$
$311$	2.94711	+	5.78402i	0.167115	+	0.327982i	−0.792228	+	0.610226i	$0.791079\pi$
$312$	67.7233	−	49.2039i	3.83408	−	2.78562i
$313$	2.76812	+	1.41043i	0.156463	+	0.0797220i	0.530469	−	0.847704i	$-0.322016\pi$
$313$	2.76812	+	1.41043i	0.156463	+	0.0797220i	−0.374006	+	0.927426i	$0.622016\pi$
$314$	15.1540	−	15.1540i	0.855188	−	0.855188i
$315$	−0.809066	−	5.10824i	−0.0455857	−	0.287817i
$316$	11.3451	−	22.2660i	0.638211	−	1.25256i
$317$	−21.1348	+	10.7687i	−1.18705	+	0.604831i	−0.932127	−	0.362131i	$-0.882049\pi$
$317$	−21.1348	+	10.7687i	−1.18705	+	0.604831i	−0.254921	+	0.966962i	$0.582049\pi$
$318$	−30.2669	+	93.1520i	−1.69728	+	5.22370i
$319$		−	1.46007i		−	0.0817483i
$320$	7.94013	+	2.57990i	0.443867	+	0.144221i
$321$	−0.479919	−	0.0760117i	−0.0267865	−	0.00424256i
$322$	10.2536	−	1.62402i	0.571412	−	0.0905028i
$323$	2.57029	−	0.835136i	0.143014	−	0.0464682i
$324$	17.3807	+	53.4922i	0.965593	+	2.97179i
$325$	20.2788	+	20.2788i	1.12487	+	1.12487i
$326$	−2.44214	+	3.36132i	−0.135258	+	0.186166i
$327$	39.2879			2.17263
$328$	18.6444	+	18.7592i	1.02947	+	1.03580i
$329$	2.42651			0.133778
$330$	3.95043	−	5.43730i	0.217464	−	0.299313i
$331$	−20.2344	−	20.2344i	−1.11218	−	1.11218i	−0.992855	−	0.119330i	$-0.961925\pi$
$331$	−20.2344	−	20.2344i	−1.11218	−	1.11218i	−0.119330	−	0.992855i	$-0.538075\pi$
$332$	−5.50773	−	16.9511i	−0.302276	−	0.930310i
$333$	64.6113	−	20.9935i	3.54068	−	1.15044i
$334$	55.8878	−	8.85175i	3.05804	−	0.484346i
$335$	−2.82391	−	0.447263i	−0.154287	−	0.0244366i
$336$	7.17829	+	2.33237i	0.391608	+	0.127241i
$337$		−	17.2885i		−	0.941767i	−0.882195	−	0.470883i	$-0.843935\pi$
$337$		−	17.2885i		−	0.941767i	0.882195	−	0.470883i	$-0.156065\pi$
$338$	−21.9159	+	67.4503i	−1.19207	+	3.66881i
$339$	20.3239	−	10.3555i	1.10384	−	0.562435i
$340$	0.797057	−	1.56431i	0.0432265	−	0.0848368i
$341$	−0.687538	−	4.34095i	−0.0372323	−	0.235075i
$342$	−50.1949	+	50.1949i	−2.71423	+	2.71423i
$343$	0.891007	+	0.453990i	0.0481098	+	0.0245132i
$344$	7.73581	−	5.62039i	0.417087	−	0.303031i
$345$	4.76659	+	9.35497i	0.256625	+	0.503654i
$346$	28.7218	+	20.8676i	1.54409	+	1.12185i
$347$	−1.35750	+	8.57090i	−0.0728743	+	0.460110i	0.924085	+	0.382187i	$0.124829\pi$
$347$	−1.35750	+	8.57090i	−0.0728743	+	0.460110i	−0.996959	+	0.0779232i	$0.975171\pi$
$348$	8.55200	+	11.7708i	0.458435	+	0.630982i
$349$	9.36621	+	12.8915i	0.501362	+	0.690065i	0.982433	−	0.186616i	$-0.0597521\pi$
$349$	9.36621	+	12.8915i	0.501362	+	0.690065i	−0.481071	+	0.876682i	$0.659752\pi$
$350$	−1.64408	+	10.3803i	−0.0878799	+	0.554852i
$351$	−59.5607	−	43.2734i	−3.17912	−	2.30976i
$352$	−1.28652	−	2.52494i	−0.0685717	−	0.134580i
$353$	17.8962	−	13.0023i	0.952517	−	0.692044i	0.00111628	−	0.999999i	$-0.499645\pi$
$353$	17.8962	−	13.0023i	0.952517	−	0.692044i	0.951401	+	0.307955i	$0.0996447\pi$
$354$	−72.9043	−	37.1466i	−3.87482	−	1.97432i
$355$	−4.89650	+	4.89650i	−0.259879	+	0.259879i
$356$	−2.57750	−	16.2737i	−0.136607	−	0.862503i
$357$	−0.851419	+	1.67100i	−0.0450618	+	0.0884389i
$358$	−1.09705	+	0.558974i	−0.0579808	+	0.0295427i
$359$	6.08260	−	18.7203i	0.321027	−	0.988021i	−0.652174	−	0.758069i	$-0.726143\pi$
$359$	6.08260	−	18.7203i	0.321027	−	0.988021i	0.973202	−	0.229952i	$-0.0738570\pi$
$360$			21.3629i			1.12592i
$361$	−0.954372	−	0.310094i	−0.0502301	−	0.0163208i
$362$	−27.0498	−	4.28427i	−1.42171	−	0.225176i
$363$	29.5912	−	4.68679i	1.55314	−	0.245993i
$364$	−23.1400	+	7.51865i	−1.21287	+	0.394084i
$365$	−2.51367	−	7.73629i	−0.131572	−	0.404936i
$366$	−76.2685	−	76.2685i	−3.98662	−	3.98662i
$367$	0.998305	−	1.37405i	0.0521111	−	0.0717247i	−0.782166	−	0.623070i	$-0.785885\pi$
$367$	0.998305	−	1.37405i	0.0521111	−	0.0717247i	0.834277	+	0.551345i	$0.185885\pi$
$368$	−10.5504			−0.549975
$369$	19.3971	−	37.7817i	1.00977	−	1.96684i
$370$	19.1119			0.993579
$371$	7.75174	−	10.6694i	0.402450	−	0.553925i
$372$	30.9688	+	30.9688i	1.60566	+	1.60566i
$373$	−3.11595	−	9.58992i	−0.161338	−	0.496547i	0.837410	−	0.546575i	$-0.184069\pi$
$373$	−3.11595	−	9.58992i	−0.161338	−	0.496547i	−0.998748	+	0.0500283i	$0.984069\pi$
$374$	−1.59595	+	0.518555i	−0.0825245	+	0.0268139i
$375$	−22.4498	+	3.55569i	−1.15930	+	0.183615i
$376$	−9.89944	−	1.56792i	−0.510524	−	0.0808591i
$377$	−7.81301	−	2.53860i	−0.402391	−	0.130745i
$378$		−	26.9796i		−	1.38768i
$379$	−4.67948	+	14.4020i	−0.240369	+	0.739779i	0.755995	+	0.654578i	$0.227153\pi$
$379$	−4.67948	+	14.4020i	−0.240369	+	0.739779i	−0.996364	+	0.0852018i	$0.972847\pi$
$380$	−11.5786	+	5.89957i	−0.593967	+	0.302641i
$381$	8.77744	−	17.2267i	0.449682	−	0.882551i
$382$	6.92274	+	43.7085i	0.354198	+	2.23632i
$383$	−1.97241	+	1.97241i	−0.100785	+	0.100785i	−0.755701	−	0.654916i	$-0.772704\pi$
$383$	−1.97241	+	1.97241i	−0.100785	+	0.100785i	0.654916	+	0.755701i	$0.272704\pi$
$384$	57.3461	+	29.2193i	2.92643	+	1.49109i
$385$	−0.732112	+	0.531911i	−0.0373119	+	0.0271087i
$386$	1.21031	+	2.37536i	0.0616029	+	0.120903i
$387$	−12.4219	−	9.02503i	−0.631440	−	0.458768i
$388$	−1.67711	+	10.5889i	−0.0851426	+	0.537569i
$389$	4.86267	+	6.69289i	0.246547	+	0.339343i	0.914298	−	0.405042i	$-0.132743\pi$
$389$	4.86267	+	6.69289i	0.246547	+	0.339343i	−0.667751	+	0.744385i	$0.732743\pi$
$390$	−22.2271	−	30.5929i	−1.12551	−	1.54913i
$391$	0.410092	−	2.58922i	0.0207392	−	0.130942i
$392$	−3.34169	−	2.42788i	−0.168781	−	0.122627i
$393$	3.52321	+	6.91470i	0.177723	+	0.348800i
$394$	−29.9758	+	21.7787i	−1.51016	+	1.09719i
$395$	−4.65954	−	2.37415i	−0.234447	−	0.119457i
$396$	20.2813	−	20.2813i	1.01917	−	1.01917i
$397$	−0.0347439	−	0.219364i	−0.00174375	−	0.0110096i	0.986801	−	0.161937i	$-0.0517741\pi$
$397$	−0.0347439	−	0.219364i	−0.00174375	−	0.0110096i	−0.988545	+	0.150927i	$0.951774\pi$
$398$	−26.6908	+	52.3837i	−1.33789	+	2.62576i
$399$	12.3682	−	6.30193i	0.619187	−	0.315491i
$400$	3.30052	−	10.1580i	0.165026	−	0.507899i
$401$		−	8.86976i		−	0.442935i	−0.975168	−	0.221467i	$-0.928915\pi$
$401$		−	8.86976i		−	0.442935i	0.975168	−	0.221467i	$-0.0710846\pi$
$402$	−25.8989	−	8.41507i	−1.29172	−	0.419706i
$403$	−24.4243	−	3.86843i	−1.21666	−	0.192700i
$404$	−64.9636	+	10.2892i	−3.23206	+	0.511908i
$405$	11.1942	−	3.63720i	0.556242	−	0.180734i
$406$	−0.930311	−	2.86320i	−0.0461706	−	0.142098i
$407$	−8.40535	−	8.40535i	−0.416638	−	0.416638i
$408$	4.55327	−	6.26704i	0.225421	−	0.310265i
$409$	−11.2944			−0.558472			−0.279236	−	0.960222i	$-0.590081\pi$
$409$	−11.2944			−0.558472			−0.279236	+	0.960222i	$0.590081\pi$
$410$	8.47418	−	8.42232i	0.418510	−	0.415949i
$411$	−50.1680			−2.47461
$412$	−8.11484	+	11.1691i	−0.399789	+	0.550263i
$413$	7.79026	+	7.79026i	0.383334	+	0.383334i
$414$	21.2780	+	65.4870i	1.04576	+	3.21851i
$415$	−3.54730	+	1.15259i	−0.174130	+	0.0565783i
$416$	−15.7481	+	2.49425i	−0.772113	+	0.122291i
$417$	18.8259	+	2.98173i	0.921908	+	0.146016i
$418$	11.8127	+	3.83818i	0.577779	+	0.187732i
$419$			1.91618i			0.0936117i	0.998904	+	0.0468058i	$0.0149042\pi$
$419$			1.91618i			0.0936117i	−0.998904	+	0.0468058i	$0.985096\pi$
$420$	2.78662	−	8.57632i	0.135973	−	0.418482i
$421$	13.9102	−	7.08758i	0.677940	−	0.345428i	−0.0808840	−	0.996724i	$-0.525774\pi$
$421$	13.9102	−	7.08758i	0.677940	−	0.345428i	0.758824	+	0.651296i	$0.225774\pi$
$422$	−5.00244	+	9.81783i	−0.243515	+	0.477925i
$423$	2.51771	+	15.8962i	0.122415	+	0.772898i
$424$	−38.5189	+	38.5189i	−1.87064	+	1.87064i
$425$	2.36463	+	1.20484i	0.114701	+	0.0584432i
$426$	−53.3584	+	38.7672i	−2.58522	+	1.87828i
$427$	6.59328	+	12.9400i	0.319071	+	0.626212i
$428$	−0.471945	−	0.342888i	−0.0228123	−	0.0165741i
$429$	−3.67928	+	23.2301i	−0.177638	+	1.12156i
$430$	−2.53892	−	3.49453i	−0.122438	−	0.168521i
$431$	18.5715	+	25.5615i	0.894558	+	1.23125i	0.972172	+	0.234270i	$0.0752700\pi$
$431$	18.5715	+	25.5615i	0.894558	+	1.23125i	−0.0776134	+	0.996984i	$0.524730\pi$
$432$	−4.28922	+	27.0810i	−0.206365	+	1.30294i
$433$	−25.8004	−	18.7451i	−1.23989	−	0.900831i	−0.242296	−	0.970202i	$-0.577901\pi$
$433$	−25.8004	−	18.7451i	−1.23989	−	0.900831i	−0.997591	+	0.0693715i	$0.977901\pi$
$434$	−4.11418	−	8.07453i	−0.197487	−	0.387590i
$435$	2.46324	−	1.78965i	0.118103	−	0.0858072i
$436$	42.0267	+	21.4137i	2.01271	+	1.02553i
$437$	−13.7203	+	13.7203i	−0.656332	+	0.656332i
$438$	−12.1200	−	76.5228i	−0.579117	−	3.65640i
$439$	−15.6671	+	30.7483i	−0.747748	+	1.46754i	0.131572	+	0.991307i	$0.457998\pi$
$439$	−15.6671	+	30.7483i	−0.747748	+	1.46754i	−0.879320	+	0.476232i	$0.842002\pi$
$440$	3.33050	−	1.69698i	0.158775	−	0.0809001i
$441$	−2.04962	+	6.30808i	−0.0976009	+	0.300385i
$442$			9.44171i			0.449096i
$443$	34.4422	+	11.1910i	1.63640	+	0.531699i	0.975730	−	0.218978i	$-0.0702723\pi$
$443$	34.4422	+	11.1910i	1.63640	+	0.531699i	0.660670	+	0.750676i	$0.270272\pi$
$444$	116.995	+	18.5301i	5.55231	+	0.879400i
$445$	−3.40555	+	0.539385i	−0.161438	+	0.0255693i
$446$	52.3119	−	16.9972i	2.47704	−	0.804839i
$447$	−10.6986	−	32.9269i	−0.506027	−	1.55739i
$448$	−7.57086	−	7.57086i	−0.357690	−	0.357690i
$449$	−8.82343	+	12.1444i	−0.416403	+	0.573130i	−0.964766	−	0.263111i	$-0.915251\pi$
$449$	−8.82343	+	12.1444i	−0.416403	+	0.573130i	0.548362	+	0.836241i	$0.315251\pi$
$450$	−69.7079			−3.28606
$451$	−7.43103	−	0.0228091i	−0.349914	−	0.00107404i
$452$	27.3849			1.28808
$453$	−30.3179	+	41.7290i	−1.42446	+	1.96060i
$454$	−7.22445	−	7.22445i	−0.339060	−	0.339060i
$455$	1.57340	+	4.84244i	0.0737624	+	0.227017i
$456$	−54.5308	+	17.7181i	−2.55364	+	0.829728i
$457$	−19.7537	+	3.12868i	−0.924040	+	0.146353i	−0.600284	−	0.799787i	$-0.704946\pi$
$457$	−19.7537	+	3.12868i	−0.924040	+	0.146353i	−0.323756	+	0.946141i	$0.604946\pi$
$458$	33.6159	+	5.32424i	1.57077	+	0.248785i
$459$	−6.47938	−	2.10528i	−0.302431	−	0.0982659i
$460$			12.6051i			0.587717i
$461$	−9.92988	+	30.5610i	−0.462481	+	1.42337i	0.399643	+	0.916671i	$0.369134\pi$
$461$	−9.92988	+	30.5610i	−0.462481	+	1.42337i	−0.862123	+	0.506698i	$0.830866\pi$
$462$	−7.67972	+	3.91301i	−0.357293	+	0.182050i
$463$	−3.49540	+	6.86010i	−0.162445	+	0.318816i	−0.957853	−	0.287258i	$-0.907256\pi$
$463$	−3.49540	+	6.86010i	−0.162445	+	0.318816i	0.795409	+	0.606074i	$0.207256\pi$
$464$	0.478617	+	3.02187i	0.0222192	+	0.140287i
$465$	6.48075	−	6.48075i	0.300537	−	0.300537i
$466$	11.9122	+	6.06955i	0.551821	+	0.281167i
$467$	25.3692	−	18.4318i	1.17395	−	0.852922i	0.182470	−	0.983211i	$-0.441591\pi$
$467$	25.3692	−	18.4318i	1.17395	−	0.852922i	0.991476	+	0.130290i	$0.0415907\pi$
$468$	−73.2647	−	143.790i	−3.38666	−	6.64670i
$469$	2.96639	+	2.15521i	0.136975	+	0.0995181i
$470$	−0.708282	+	4.47192i	−0.0326706	+	0.206274i
$471$	−16.3382	−	22.4875i	−0.752823	−	1.03617i
$472$	−26.7482	−	36.8157i	−1.23119	−	1.69458i
$473$	−0.420272	+	2.65350i	−0.0193241	+	0.122008i
$474$	−40.2962	−	29.2769i	−1.85087	−	1.34473i
$475$	−8.91784	−	17.5022i	−0.409178	−	0.803058i
$476$	−1.82154	+	1.32343i	−0.0834903	+	0.0606593i
$477$	77.9385	+	39.7117i	3.56856	+	1.81827i
$478$	6.17130	−	6.17130i	0.282269	−	0.282269i
$479$	−2.89980	−	18.3086i	−0.132495	−	0.836542i	−0.960998	−	0.276557i	$-0.910807\pi$
$479$	−2.89980	−	18.3086i	−0.132495	−	0.836542i	0.828502	−	0.559986i	$-0.189193\pi$
$480$	2.68282	−	5.26533i	0.122453	−	0.240328i
$481$	−59.5923	+	30.3638i	−2.71717	+	1.38447i
$482$	0.405604	−	1.24832i	0.0184747	−	0.0568594i
$483$		−	13.4648i		−	0.612671i
$484$	34.2086	+	11.1150i	1.55494	+	0.505229i
$485$	2.21590	+	0.350965i	0.100619	+	0.0159365i
$486$	30.7836	−	4.87565i	1.39637	−	0.221164i
$487$	10.1879	−	3.31024i	0.461657	−	0.150001i	−0.0689487	−	0.997620i	$-0.521964\pi$
$487$	10.1879	−	3.31024i	0.461657	−	0.150001i	0.530606	+	0.847619i	$0.321964\pi$
$488$	−18.5373	−	57.0519i	−0.839143	−	2.58262i
$489$	3.81048	+	3.81048i	0.172316	+	0.172316i
$490$	−1.09676	+	1.50956i	−0.0495464	+	0.0681948i
$491$	2.07908			0.0938274			0.0469137	−	0.998899i	$-0.485061\pi$
$491$	2.07908			0.0938274			0.0469137	+	0.998899i	$0.485061\pi$
$492$	60.0412	−	43.3415i	2.70686	−	1.95399i
$493$	−0.760216			−0.0342384
$494$	41.0771	−	56.5378i	1.84815	−	2.54376i
$495$	−4.24420	−	4.24420i	−0.190763	−	0.190763i
$496$	2.84596	+	8.75895i	0.127787	+	0.393289i
$497$	8.44591	−	2.74424i	0.378851	−	0.123096i
$498$	−35.0878	+	5.55736i	−1.57232	+	0.249031i
$499$	−11.3757	−	1.80173i	−0.509245	−	0.0806566i	−0.103476	−	0.994632i	$-0.532996\pi$
$499$	−11.3757	−	1.80173i	−0.509245	−	0.0806566i	−0.405770	+	0.913975i	$0.632996\pi$
$500$	−25.9528	−	8.43257i	−1.16064	−	0.377116i
$501$		−	73.3905i		−	3.27885i
$502$	3.57993	−	11.0179i	0.159780	−	0.491753i
$503$	−23.0597	+	11.7495i	−1.02818	+	0.523885i	−0.884892	−	0.465796i	$-0.845768\pi$
$503$	−23.0597	+	11.7495i	−1.02818	+	0.523885i	−0.143290	+	0.989681i	$0.545768\pi$
$504$	12.4379	−	24.4107i	0.554027	−	1.08734i
$505$	2.15319	+	13.5947i	0.0958159	+	0.604958i
$506$	8.51926	−	8.51926i	0.378727	−	0.378727i
$507$	81.9599	+	41.7606i	3.63997	+	1.85466i
$508$	18.7787	−	13.6435i	0.833168	−	0.605332i
$509$	−9.48346	−	18.6123i	−0.420347	−	0.824977i	−0.999949	−	0.0100779i	$-0.996792\pi$
$509$	−9.48346	−	18.6123i	−0.420347	−	0.824977i	0.579602	−	0.814900i	$-0.303208\pi$
$510$	−2.83104	−	2.05687i	−0.125361	−	0.0910797i
$511$	−1.63192	+	10.3035i	−0.0721918	+	0.455801i
$512$	15.2989	+	21.0572i	0.676124	+	0.930605i
$513$	29.6399	+	40.7958i	1.30863	+	1.80118i
$514$	−5.75764	+	36.3523i	−0.253959	+	1.60343i
$515$	2.33733	+	1.69817i	0.102995	+	0.0748302i
$516$	−12.1540	−	23.8536i	−0.535051	−	1.05010i
$517$	2.27824	−	1.65524i	0.100197	−	0.0727972i
$518$	−21.8385	−	11.1273i	−0.959530	−	0.488905i
$519$	32.5598	−	32.5598i	1.42922	−	1.42922i
$520$	−3.29003	−	20.7724i	−0.144277	−	0.910930i
$521$	14.4379	−	28.3360i	0.632537	−	1.24142i	−0.322957	−	0.946414i	$-0.604677\pi$
$521$	14.4379	−	28.3360i	0.632537	−	1.24142i	0.955494	−	0.295010i	$-0.0953231\pi$
$522$	17.7917	−	9.06533i	0.778722	−	0.396779i
$523$	1.31891	−	4.05919i	0.0576720	−	0.177496i	−0.918071	−	0.396417i	$-0.870254\pi$
$523$	1.31891	−	4.05919i	0.0576720	−	0.177496i	0.975743	+	0.218921i	$0.0702535\pi$
$524$			9.31704i			0.407017i
$525$	12.9640	+	4.21227i	0.565797	+	0.183839i
$526$	41.5180	+	6.57580i	1.81027	+	0.286719i
$527$	−2.26020	+	0.357981i	−0.0984559	+	0.0155939i
$528$	8.33068	−	2.70680i	0.362546	−	0.117798i
$529$	−1.29125	−	3.97405i	−0.0561411	−	0.172785i
$530$	17.4003	+	17.4003i	0.755822	+	0.755822i
$531$	−42.9513	+	59.1174i	−1.86393	+	2.56548i
$532$	16.6653			0.722532
$533$	−13.0423	+	39.7247i	−0.564923	+	1.72067i
$534$	−32.8406			−1.42115
$535$	−0.0717552	+	0.0987625i	−0.00310225	+	0.00426988i
$536$	−10.7094	−	10.7094i	−0.462574	−	0.462574i
$537$	0.493481	+	1.51878i	0.0212953	+	0.0655401i
$538$	0.487101	−	0.158269i	0.0210004	−	0.00682345i
$539$	1.14625	−	0.181548i	0.0493725	−	0.00781983i
$540$	32.3553	+	5.12457i	1.39235	+	0.220527i
$541$	24.0013	+	7.79848i	1.03189	+	0.335283i	0.775539	−	0.631300i	$-0.217478\pi$
$541$	24.0013	+	7.79848i	1.03189	+	0.335283i	0.256356	+	0.966583i	$0.417478\pi$
$542$		−	23.8273i		−	1.02347i
$543$	−10.9766	+	33.7826i	−0.471053	+	1.44975i
$544$	−1.31466	+	0.669852i	−0.0563655	+	0.0287197i
$545$	4.48118	−	8.79480i	0.191953	−	0.376728i
$546$	7.58639	+	47.8986i	0.324668	+	2.04987i
$547$	−10.6896	+	10.6896i	−0.457056	+	0.457056i	−0.897688	−	0.440632i	$-0.854754\pi$
$547$	−10.6896	+	10.6896i	−0.457056	+	0.457056i	0.440632	+	0.897688i	$0.354754\pi$
$548$	−53.6653	−	27.3438i	−2.29247	−	1.16807i
$549$	−77.9297	+	56.6193i	−3.32596	+	2.41645i
$550$	5.53729	+	10.8675i	0.236111	+	0.463393i
$551$	4.55224	+	3.30740i	0.193932	+	0.140900i
$552$	−8.70045	+	54.9325i	−0.370316	+	2.33808i
$553$	3.94203	+	5.42574i	0.167632	+	0.230726i
$554$	30.7874	+	42.3752i	1.30803	+	1.80035i
$555$	3.87774	−	24.4831i	0.164601	−	1.03925i
$556$	18.5131	+	13.4505i	0.785130	+	0.570430i
$557$	−2.76984	−	5.43613i	−0.117362	−	0.230336i	0.824851	−	0.565350i	$-0.191259\pi$
$557$	−2.76984	−	5.43613i	−0.117362	−	0.230336i	−0.942213	+	0.335014i	$0.891259\pi$
$558$	48.6278	−	35.3302i	2.05858	−	1.49565i
$559$	13.4684	+	6.86252i	0.569655	+	0.290254i
$560$	1.34087	−	1.34087i	0.0566621	−	0.0566621i
$561$	0.340477	+	2.14969i	0.0143750	+	0.0907599i
$562$	8.94961	−	17.5646i	0.377516	−	0.740918i
$563$	20.8402	−	10.6186i	0.878309	−	0.447521i	0.0441374	−	0.999025i	$-0.485946\pi$
$563$	20.8402	−	10.6186i	0.878309	−	0.447521i	0.834172	+	0.551505i	$0.185946\pi$
$564$	−8.67158	+	26.6884i	−0.365139	+	1.12378i
$565$		−	5.73075i		−	0.241095i
$566$	−54.5360	−	17.7198i	−2.29232	−	0.744820i
$567$	−14.9089	−	2.36133i	−0.626113	−	0.0991666i
$568$	−36.2300	+	5.73827i	−1.52018	+	0.240773i
$569$	32.0642	−	10.4183i	1.34420	−	0.436757i	0.453463	−	0.891275i	$-0.350188\pi$
$569$	32.0642	−	10.4183i	1.34420	−	0.436757i	0.890738	+	0.454518i	$0.150188\pi$
$570$	8.00389	+	24.6335i	0.335246	+	1.03178i
$571$	17.5614	+	17.5614i	0.734922	+	0.734922i	0.971591	−	0.236668i	$-0.0760554\pi$
$571$	17.5614	+	17.5614i	0.734922	+	0.734922i	−0.236668	+	0.971591i	$0.576055\pi$
$572$	−16.5972	+	22.8441i	−0.693965	+	0.955160i
$573$	57.3970			2.39779
$574$	−14.5868	+	4.69009i	−0.608842	+	0.195761i
$575$	−19.0540			−0.794607
$576$	41.7417	−	57.4525i	1.73924	−	2.39385i
$577$	−12.8600	−	12.8600i	−0.535368	−	0.535368i	0.386797	−	0.922165i	$-0.373582\pi$
$577$	−12.8600	−	12.8600i	−0.535368	−	0.535368i	−0.922165	+	0.386797i	$0.873582\pi$
$578$	−12.3008	−	37.8579i	−0.511645	−	1.57468i
$579$	3.28850	−	1.06850i	0.136665	−	0.0444052i
$580$	3.61040	−	0.571831i	0.149914	−	0.0237440i
$581$	4.72444	+	0.748278i	0.196003	+	0.0310438i
$582$	20.3227	+	6.60326i	0.842404	+	0.273714i
$583$		−	15.3052i		−	0.633878i
$584$	13.3155	−	40.9808i	0.550998	−	1.69580i
$585$	−30.0905	+	15.3319i	−1.24409	+	0.633896i
$586$	−7.40386	+	14.5309i	−0.305851	+	0.600266i
$587$	2.36609	+	14.9389i	0.0976591	+	0.616595i	0.987169	+	0.159679i	$0.0510460\pi$
$587$	2.36609	+	14.9389i	0.0976591	+	0.616595i	−0.889510	+	0.456916i	$0.848954\pi$
$588$	−8.17747	+	8.17747i	−0.337233	+	0.337233i
$589$	15.0917	+	7.68962i	0.621844	+	0.316845i
$590$	−16.6309	+	12.0831i	−0.684685	+	0.497452i
$591$	21.8174	+	42.8191i	0.897448	+	1.76134i
$592$	20.1516	+	14.6410i	0.828226	+	0.601742i
$593$	−1.44372	+	9.11531i	−0.0592866	+	0.374321i	0.940150	+	0.340761i	$0.110685\pi$
$593$	−1.44372	+	9.11531i	−0.0592866	+	0.374321i	−0.999437	+	0.0335604i	$0.989315\pi$
$594$	−18.4041	−	25.3310i	−0.755128	−	1.03934i
$595$	0.276950	+	0.381189i	0.0113538	+	0.0156272i
$596$	6.50224	−	41.0535i	0.266342	−	1.68162i
$597$	61.6902	+	44.8205i	2.52481	+	1.83438i
$598$	−30.7753	−	60.3999i	−1.25849	−	2.46993i
$599$	0.122522	−	0.0890174i	0.00500611	−	0.00363715i	−0.585279	−	0.810832i	$-0.699015\pi$
$599$	0.122522	−	0.0890174i	0.00500611	−	0.00363715i	0.590285	+	0.807195i	$0.299015\pi$
$600$	−50.1676	−	25.5617i	−2.04809	−	1.04355i
$601$	0.725199	−	0.725199i	0.0295815	−	0.0295815i	−0.692161	−	0.721743i	$-0.743341\pi$
$601$	0.725199	−	0.725199i	0.0295815	−	0.0295815i	0.721743	+	0.692161i	$0.243341\pi$
$602$	0.866568	+	5.47130i	0.0353187	+	0.222993i
$603$	−11.0410	+	21.6691i	−0.449623	+	0.882436i
$604$	−55.1755	+	28.1133i	−2.24506	+	1.14392i
$605$	2.32601	−	7.15873i	0.0945659	−	0.291044i
$606$			131.098i			5.32549i
$607$	−33.4661	−	10.8738i	−1.35835	−	0.441354i	−0.462857	−	0.886433i	$-0.653176\pi$
$607$	−33.4661	−	10.8738i	−1.35835	−	0.441354i	−0.895491	+	0.445079i	$0.853176\pi$
$608$	10.7866	+	1.70842i	0.437453	+	0.0692857i
$609$	−3.85664	+	0.610831i	−0.156279	+	0.0247521i
$610$	−25.7723	+	8.37392i	−1.04349	+	0.339050i
$611$	−4.89623	−	15.0690i	−0.198080	−	0.609628i
$612$	−10.5599	−	10.5599i	−0.426857	−	0.426857i
$613$	16.7410	−	23.0420i	0.676161	−	0.930656i	−0.323719	−	0.946153i	$-0.604933\pi$
$613$	16.7410	−	23.0420i	0.676161	−	0.930656i	0.999880	+	0.0154976i	$0.00493323\pi$
$614$	39.2307			1.58322
$615$	−9.06995	−	12.5646i	−0.365736	−	0.506655i
$616$	−4.79367			−0.193142
$617$	−21.2372	+	29.2304i	−0.854975	+	1.17677i	0.127769	+	0.991804i	$0.459218\pi$
$617$	−21.2372	+	29.2304i	−0.854975	+	1.17677i	−0.982744	+	0.184969i	$0.940782\pi$
$618$	19.4577	+	19.4577i	0.782704	+	0.782704i
$619$	−4.45610	−	13.7145i	−0.179106	−	0.551231i	0.820691	−	0.571372i	$-0.193589\pi$
$619$	−4.45610	−	13.7145i	−0.179106	−	0.551231i	−0.999797	+	0.0201407i	$0.993589\pi$
$620$	10.4648	−	3.40023i	0.420278	−	0.136556i
$621$	48.3116	−	7.65180i	1.93868	−	0.307056i
$622$	15.3426	+	2.43004i	0.615184	+	0.0974356i
$623$	4.20545	+	1.36643i	0.168488	+	0.0547450i
$624$		−	49.2847i		−	1.97297i
$625$	5.02132	−	15.4540i	0.200853	−	0.618161i
$626$	6.62393	−	3.37506i	0.264745	−	0.134895i
$627$	7.31363	−	14.3538i	0.292078	−	0.573236i
$628$	−5.22038	−	32.9602i	−0.208316	−	1.31526i
$629$	−4.37642	+	4.37642i	−0.174499	+	0.174499i
$630$	−11.0272	−	5.61862i	−0.439333	−	0.223851i
$631$	0.192962	−	0.140195i	0.00768169	−	0.00558108i	−0.583938	−	0.811798i	$-0.698489\pi$
$631$	0.192962	−	0.140195i	0.00768169	−	0.00558108i	0.591619	+	0.806217i	$0.298489\pi$
$632$	−12.5764	−	24.6826i	−0.500263	−	0.981821i
$633$	11.5621	+	8.40033i	0.459551	+	0.333883i
$634$	−8.87934	+	56.0620i	−0.352644	+	2.22650i
$635$	−2.85513	−	3.92975i	−0.113303	−	0.155948i
$636$	89.6465	+	123.388i	3.55471	+	4.89264i
$637$	1.02148	−	6.44937i	0.0404725	−	0.255533i
$638$	−2.82659	−	2.05364i	−0.111906	−	0.0813043i
$639$	26.7410	+	52.4822i	1.05786	+	2.07616i
$640$	13.0818	−	9.50448i	0.517103	−	0.375697i
$641$	8.04765	+	4.10048i	0.317863	+	0.161959i	0.605641	−	0.795738i	$-0.292917\pi$
$641$	8.04765	+	4.10048i	0.317863	+	0.161959i	−0.287778	+	0.957697i	$0.592917\pi$
$642$	−0.822175	+	0.822175i	−0.0324487	+	0.0324487i
$643$	0.378139	+	2.38748i	0.0149124	+	0.0941529i	0.994022	−	0.109180i	$-0.0348226\pi$
$643$	0.378139	+	2.38748i	0.0149124	+	0.0941529i	−0.979110	+	0.203333i	$0.934823\pi$
$644$	7.33894	−	14.4035i	0.289195	−	0.567576i
$645$	−4.99177	+	2.54344i	−0.196551	+	0.100148i
$646$	1.99843	−	6.15053i	0.0786271	−	0.241989i
$647$		−	27.3750i		−	1.07622i	−0.842874	−	0.538111i	$-0.819138\pi$
$647$		−	27.3750i		−	1.07622i	0.842874	−	0.538111i	$-0.180862\pi$
$648$	59.2979	+	19.2671i	2.32944	+	0.756882i
$649$	12.6283	+	2.00013i	0.495706	+	0.0785121i
$650$	67.7811	−	10.7355i	2.65859	−	0.421080i
$651$	−11.1786	+	3.63213i	−0.438122	+	0.142355i
$652$	1.99923	+	6.15300i	0.0782959	+	0.240970i
$653$	−19.9124	−	19.9124i	−0.779232	−	0.779232i	0.200468	−	0.979700i	$-0.435754\pi$
$653$	−19.9124	−	19.9124i	−0.779232	−	0.779232i	−0.979700	+	0.200468i	$0.935754\pi$
$654$	55.2597	−	76.0585i	2.16083	−	2.97412i
$655$	1.94975			0.0761830
$656$	15.3873	−	2.38871i	0.600772	−	0.0932636i
$657$	−69.1921			−2.69944
$658$	3.41296	−	4.69754i	0.133051	−	0.183129i
$659$	−23.4064	−	23.4064i	−0.911785	−	0.911785i	0.0846275	−	0.996413i	$-0.473030\pi$
$659$	−23.4064	−	23.4064i	−0.911785	−	0.911785i	−0.996413	+	0.0846275i	$0.973030\pi$
$660$	−3.23397	−	9.95315i	−0.125882	−	0.387426i
$661$	−6.74825	+	2.19264i	−0.262476	+	0.0852838i	−0.437299	−	0.899316i	$-0.644065\pi$
$661$	−6.74825	+	2.19264i	−0.262476	+	0.0852838i	0.174823	+	0.984600i	$0.444065\pi$
$662$	−67.6327	+	10.7120i	−2.62862	+	0.416333i
$663$	12.0952	+	1.91569i	0.469739	+	0.0743994i
$664$	−18.7908	−	6.10551i	−0.729225	−	0.236940i
$665$		−	3.48749i		−	0.135239i
$666$	50.2361	−	154.611i	1.94661	−	5.99105i
$667$	4.86320	−	2.47792i	0.188304	−	0.0959456i
$668$	40.0011	−	78.5066i	1.54769	−	3.03751i
$669$	−11.1601	−	70.4624i	−0.431476	−	2.72423i
$670$	−4.83779	+	4.83779i	−0.186900	+	0.186900i
$671$	15.0174	+	7.65175i	0.579740	+	0.295393i
$672$	−6.13115	+	4.45454i	−0.236514	+	0.171838i
$673$	1.12325	+	2.20450i	0.0432981	+	0.0849772i	0.911642	−	0.410985i	$-0.134815\pi$
$673$	1.12325	+	2.20450i	0.0432981	+	0.0849772i	−0.868344	+	0.495963i	$0.834815\pi$
$674$	−33.4693	−	24.3169i	−1.28919	−	0.936652i
$675$	−7.74635	+	48.9085i	−0.298157	+	1.88249i
$676$	64.9120	+	89.3436i	2.49661	+	3.43629i
$677$	−20.3466	−	28.0047i	−0.781985	−	1.07631i	−0.995060	−	0.0992740i	$-0.968348\pi$
$677$	−20.3466	−	28.0047i	−0.781985	−	1.07631i	0.213075	−	0.977036i	$-0.431652\pi$
$678$	8.53865	−	53.9109i	0.327925	−	2.07044i
$679$	−2.32771	−	1.69118i	−0.0893291	−	0.0649014i
$680$	−0.883565	−	1.73409i	−0.0338832	−	0.0664994i
$681$	−10.7206	+	7.78899i	−0.410815	+	0.298475i
$682$	−9.37080	−	4.77466i	−0.358826	−	0.182831i
$683$	−7.53290	+	7.53290i	−0.288238	+	0.288238i	−0.836383	−	0.548145i	$-0.815334\pi$
$683$	−7.53290	+	7.53290i	−0.288238	+	0.288238i	0.548145	+	0.836383i	$0.315334\pi$
$684$	17.2916	+	109.175i	0.661162	+	4.17441i
$685$	−5.72217	+	11.2304i	−0.218633	+	0.429091i
$686$	2.13212	−	1.08637i	0.0814048	−	0.0414778i
$687$	13.6411	−	41.9831i	0.520442	−	1.60176i
$688$		−	5.62963i		−	0.214628i
$689$	−81.9000	−	26.6109i	−3.12014	−	1.01380i
$690$	24.8149	+	3.93029i	0.944687	+	0.149624i
$691$	7.03008	−	1.11345i	0.267437	−	0.0423578i	−0.0212758	−	0.999774i	$-0.506773\pi$
$691$	7.03008	−	1.11345i	0.267437	−	0.0423578i	0.288713	+	0.957416i	$0.406773\pi$
$692$	52.5762	−	17.0830i	1.99865	−	0.649400i
$693$	2.37866	+	7.32077i	0.0903579	+	0.278093i
$694$	14.6833	+	14.6833i	0.557369	+	0.557369i
$695$	2.81475	−	3.87418i	0.106770	−	0.146956i
$696$	16.1286			0.611354
$697$	−0.0118760	+	3.86912i	−0.000449836	+	0.146553i
$698$	38.1308			1.44327
$699$	10.1923	−	14.0285i	0.385508	−	0.530606i
$700$	11.5719	+	11.5719i	0.437377	+	0.437377i
$701$	−10.4328	−	32.1088i	−0.394040	−	1.21273i	−0.929707	−	0.368301i	$-0.879940\pi$
$701$	−10.4328	−	32.1088i	−0.394040	−	1.21273i	0.535666	−	0.844430i	$-0.320060\pi$
$702$	−167.548	+	54.4397i	−6.32370	+	2.05469i
$703$	45.2464	−	7.16633i	1.70650	−	0.270283i
$704$	−12.2727	−	1.94380i	−0.462544	−	0.0732598i
$705$	5.58500	+	1.81468i	0.210343	+	0.0683446i
$706$		−	52.9339i		−	1.99219i
$707$	5.45472	−	16.7879i	0.205146	−	0.631374i
$708$	−113.523	+	57.8426i	−4.26644	+	2.17386i
$709$	−9.81028	+	19.2538i	−0.368433	+	0.723090i	−0.998574	−	0.0533907i	$-0.982997\pi$
$709$	−9.81028	+	19.2538i	−0.368433	+	0.723090i	0.630141	+	0.776481i	$0.282997\pi$
$710$	2.59218	+	16.3663i	0.0972826	+	0.614218i
$711$	−31.4541	+	31.4541i	−1.17962	+	1.17962i
$712$	−16.2741	−	8.29204i	−0.609896	−	0.310757i
$713$	13.2920	−	9.65718i	0.497788	−	0.361664i
$714$	2.03739	+	3.99860i	0.0762474	+	0.149644i
$715$	4.78052	+	3.47325i	0.178781	+	0.129892i
$716$	−0.299921	+	1.89362i	−0.0112086	+	0.0707680i
$717$	−6.65355	−	9.15783i	−0.248481	−	0.342005i
$718$	−27.6858	−	38.1062i	−1.03322	−	1.42211i
$719$	−3.14618	+	19.8642i	−0.117333	+	0.740810i	0.856936	+	0.515422i	$0.172365\pi$
$719$	−3.14618	+	19.8642i	−0.117333	+	0.740810i	−0.974269	+	0.225388i	$0.927635\pi$
$720$	10.1754	+	7.39284i	0.379213	+	0.275515i
$721$	−1.68209	−	3.30128i	−0.0626441	−	0.122946i
$722$	−1.94268	+	1.41144i	−0.0722989	+	0.0525282i
$723$	−1.51685	−	0.772875i	−0.0564124	−	0.0287435i
$724$	−30.1549	+	30.1549i	−1.12070	+	1.12070i
$725$	0.864385	+	5.45751i	0.0321024	+	0.202687i
$726$	32.5478	−	63.8786i	1.20796	−	2.37076i
$727$	1.71752	−	0.875122i	0.0636995	−	0.0324565i	−0.421851	−	0.906665i	$-0.638619\pi$
$727$	1.71752	−	0.875122i	0.0636995	−	0.0324565i	0.485550	+	0.874209i	$0.338619\pi$
$728$	−8.33467	+	25.6515i	−0.308904	+	0.950707i
$729$			4.85974i			0.179990i
$730$	−18.5124	−	6.01506i	−0.685176	−	0.222627i
$731$	1.38160	+	0.218823i	0.0511002	+	0.00809348i
$732$	−165.886	+	26.2737i	−6.13131	+	0.971104i
$733$	−33.8859	+	11.0102i	−1.25160	+	0.406671i	−0.858496	−	0.512821i	$-0.828600\pi$
$733$	−33.8859	+	11.0102i	−1.25160	+	0.406671i	−0.393109	+	0.919492i	$0.628600\pi$
$734$	−1.25591	−	3.86529i	−0.0463564	−	0.142670i
$735$	1.71128	+	1.71128i	0.0631213	+	0.0631213i
$736$	6.22666	−	8.57026i	0.229518	−	0.315904i
$737$	4.25529			0.156746
$738$	−45.8601	−	90.6925i	−1.68813	−	3.33844i
$739$	4.16343			0.153154			0.0765772	−	0.997064i	$-0.475601\pi$
$739$	4.16343			0.153154			0.0765772	+	0.997064i	$0.475601\pi$
$740$	17.4925	−	24.0763i	0.643035	−	0.885062i
$741$	−64.0928	−	64.0928i	−2.35451	−	2.35451i
$742$	−9.75201	−	30.0136i	−0.358007	−	1.10183i
$743$	21.4114	−	6.95699i	0.785509	−	0.255227i	0.111318	−	0.993785i	$-0.464493\pi$
$743$	21.4114	−	6.95699i	0.785509	−	0.255227i	0.674191	+	0.738557i	$0.264493\pi$
$744$	47.9522	−	7.59487i	1.75801	−	0.278442i
$745$	−8.59115	−	1.36070i	−0.314755	−	0.0498523i
$746$	−22.9481	−	7.45628i	−0.840188	−	0.272994i
$747$			31.7265i			1.16081i
$748$	−0.807465	+	2.48512i	−0.0295238	+	0.0908650i
$749$	0.139494	−	0.0710756i	0.00509699	−	0.00259705i
$750$	−24.6928	+	48.4623i	−0.901652	+	1.76959i
$751$	7.14416	+	45.1065i	0.260694	+	1.64596i	0.676454	+	0.736484i	$0.263516\pi$
$751$	7.14416	+	45.1065i	0.260694	+	1.64596i	−0.415760	+	0.909474i	$0.636484\pi$
$752$	−4.17261	+	4.17261i	−0.152159	+	0.152159i
$753$	−13.3880	−	6.82153i	−0.487886	−	0.248591i
$754$	−15.9038	+	11.5548i	−0.579182	+	0.420801i
$755$	5.88319	+	11.5464i	0.214111	+	0.420217i
$756$	−33.9877	−	24.6935i	−1.23612	−	0.898095i
$757$	2.26170	−	14.2798i	0.0822030	−	0.519009i	−0.911886	−	0.410443i	$-0.865374\pi$
$757$	2.26170	−	14.2798i	0.0822030	−	0.519009i	0.994089	−	0.108566i	$-0.0346260\pi$
$758$	21.2993	+	29.3160i	0.773625	+	1.06480i
$759$	−9.18499	−	12.6421i	−0.333394	−	0.458877i
$760$	−2.25349	+	14.2279i	−0.0817425	+	0.516102i
$761$	13.9269	+	10.1185i	0.504849	+	0.366794i	0.810866	−	0.585232i	$-0.198997\pi$
$761$	13.9269	+	10.1185i	0.504849	+	0.366794i	−0.306017	+	0.952026i	$0.598997\pi$
$762$	−21.0039	−	41.2224i	−0.760890	−	1.49333i
$763$	−10.2410	+	7.44052i	−0.370749	+	0.269365i
$764$	61.3982	+	31.2839i	2.22131	+	1.13181i
$765$	−2.20983	+	2.20983i	−0.0798965	+	0.0798965i
$766$	1.04418	+	6.59268i	0.0377277	+	0.238203i
$767$	32.6596	−	64.0981i	1.17927	−	2.31445i
$768$	78.0087	−	39.7474i	2.81490	−	1.43426i
$769$	−10.9873	+	33.8154i	−0.396211	+	1.21941i	0.531803	+	0.846868i	$0.321515\pi$
$769$	−10.9873	+	33.8154i	−0.396211	+	1.21941i	−0.928014	+	0.372545i	$0.878485\pi$
$770$			2.16547i			0.0780379i
$771$	45.4006	+	14.7516i	1.63506	+	0.531264i
$772$	4.10012	+	0.649396i	0.147567	+	0.0233723i
$773$	−0.262042	+	0.0415034i	−0.00942501	+	0.00149277i	−0.161145	−	0.986931i	$-0.551519\pi$
$773$	−0.262042	+	0.0415034i	−0.00942501	+	0.00149277i	0.151720	+	0.988423i	$0.451519\pi$
$774$	−34.9436	+	11.3539i	−1.25602	+	0.408106i
$775$	5.13981	+	15.8187i	0.184628	+	0.568225i
$776$	8.40358	+	8.40358i	0.301671	+	0.301671i
$777$	−18.6855	+	25.7184i	−0.670338	+	0.922641i
$778$	19.7965			0.709737
$779$	16.9041	−	23.1170i	0.605653	−	0.828251i
$780$	−58.8833			−2.10836
$781$	6.05784	−	8.33791i	0.216767	−	0.298354i
$782$	−4.43573	−	4.43573i	−0.158621	−	0.158621i
$783$	−4.38331	−	13.4904i	−0.156647	−	0.482109i
$784$	−2.31285	+	0.751490i	−0.0826017	+	0.0268389i
$785$	−6.89749	+	1.09245i	−0.246182	+	0.0389914i
$786$	18.3419	+	2.90507i	0.654233	+	0.103620i
$787$	31.1585	+	10.1240i	1.11068	+	0.360882i	0.806204	−	0.591637i	$-0.201518\pi$
$787$	31.1585	+	10.1240i	1.11068	+	0.360882i	0.304477	+	0.952520i	$0.401518\pi$
$788$			57.6955i			2.05532i
$789$	16.8477	−	51.8520i	0.599795	−	1.84598i
$790$	−11.1500	+	5.68120i	−0.396698	+	0.202128i
$791$	−3.33655	+	6.54835i	−0.118634	+	0.232833i
$792$	−4.97384	−	31.4036i	−0.176738	−	1.11588i
$793$	67.0559	−	67.0559i	2.38123	−	2.38123i
$794$	−0.473542	−	0.241282i	−0.0168054	−	0.00856276i
$795$	25.8210	−	18.7600i	0.915776	−	0.665350i
$796$	41.5614	+	81.5689i	1.47311	+	2.89113i
$797$	−3.24569	−	2.35813i	−0.114968	−	0.0835294i	0.528815	−	0.848737i	$-0.322636\pi$
$797$	−3.24569	−	2.35813i	−0.114968	−	0.0835294i	−0.643784	+	0.765207i	$0.722636\pi$
$798$	5.19626	−	32.8079i	0.183946	−	1.16139i
$799$	−0.861832	−	1.18621i	−0.0304894	−	0.0419651i
$800$	6.30360	+	8.67616i	0.222866	+	0.306749i
$801$	−4.58806	+	28.9679i	−0.162111	+	1.02353i
$802$	−17.1712	−	12.4756i	−0.606336	−	0.440529i
$803$	5.49632	+	10.7871i	0.193961	+	0.380669i
$804$	−34.3053	+	24.9243i	−1.20986	+	0.879012i
$805$	−3.01417	−	1.53580i	−0.106236	−	0.0541297i
$806$	−41.8426	+	41.8426i	−1.47384	+	1.47384i
$807$	−0.103917	−	0.656109i	−0.00365807	−	0.0230961i
$808$	−33.1014	+	64.9651i	−1.16450	+	2.28546i
$809$	1.43495	−	0.731144i	0.0504502	−	0.0257057i	−0.428583	−	0.903502i	$-0.640987\pi$
$809$	1.43495	−	0.731144i	0.0504502	−	0.0257057i	0.479034	+	0.877797i	$0.340987\pi$
$810$	8.70359	−	26.7869i	0.305813	−	0.941196i
$811$		−	43.9806i		−	1.54437i	−0.635400	−	0.772183i	$-0.719165\pi$
$811$		−	43.9806i		−	1.54437i	0.635400	−	0.772183i	$-0.280835\pi$
$812$	−4.45842	−	1.44863i	−0.156460	−	0.0508369i
$813$	−30.5238	−	4.83449i	−1.07052	−	0.169553i
$814$	−28.0945	+	4.44974i	−0.984713	+	0.155963i
$815$	1.28762	−	0.418373i	0.0451034	−	0.0146550i
$816$	−1.40935	−	4.33754i	−0.0493372	−	0.151844i
$817$	−7.32111	−	7.32111i	−0.256133	−	0.256133i
$818$	−15.8859	+	21.8651i	−0.555439	+	0.764496i
$819$	43.3100			1.51337
$820$	−2.85393	−	18.3841i	−0.0996637	−	0.641999i
$821$	−0.563003			−0.0196490			−0.00982448	−	0.999952i	$-0.503127\pi$
$821$	−0.563003			−0.0196490			−0.00982448	+	0.999952i	$0.503127\pi$
$822$	−70.5630	+	97.1216i	−2.46117	+	3.38751i
$823$	30.8994	+	30.8994i	1.07708	+	1.07708i	0.996770	+	0.0803150i	$0.0255926\pi$
$823$	30.8994	+	30.8994i	1.07708	+	1.07708i	0.0803150	+	0.996770i	$0.474407\pi$
$824$	4.72925	+	14.5551i	0.164751	+	0.507052i
$825$	15.0453	−	4.88850i	0.523809	−	0.170196i
$826$	26.0386	−	4.12411i	0.906000	−	0.143496i
$827$	−46.5584	−	7.37413i	−1.61900	−	0.256424i	−0.719868	−	0.694111i	$-0.755798\pi$
$827$	−46.5584	−	7.37413i	−1.61900	−	0.256424i	−0.899127	+	0.437687i	$0.855798\pi$
$828$	101.973	+	33.1329i	3.54379	+	1.15145i
$829$			5.74119i			0.199400i	0.995018	+	0.0996999i	$0.0317883\pi$
$829$			5.74119i			0.199400i	−0.995018	+	0.0996999i	$0.968212\pi$
$830$	−2.75807	+	8.48846i	−0.0957339	+	0.294639i
$831$	60.5310	−	30.8421i	2.09980	−	1.06990i
$832$	−31.7398	+	62.2929i	−1.10038	+	2.15962i
$833$	−0.0945267	−	0.596818i	−0.00327516	−	0.0206785i
$834$	32.2516	−	32.2516i	1.11678	−	1.11678i
$835$	−16.4289	−	8.37092i	−0.568544	−	0.289688i
$836$	15.6469	−	11.3682i	0.541161	−	0.393177i
$837$	−19.3846	−	38.0444i	−0.670030	−	1.31501i
$838$	3.70959	+	2.69517i	0.128146	+	0.0931033i
$839$	−2.04481	+	12.9104i	−0.0705947	+	0.445718i	0.926920	+	0.375259i	$0.122446\pi$
$839$	−2.04481	+	12.9104i	−0.0705947	+	0.445718i	−0.997515	+	0.0704586i	$0.977554\pi$
$840$	−5.87574	−	8.08726i	−0.202732	−	0.279037i
$841$	16.1154	+	22.1810i	0.555704	+	0.764861i
$842$	5.84406	−	36.8980i	0.201400	−	1.27159i
$843$	−20.6851	−	15.0286i	−0.712433	−	0.517613i
$844$	7.78951	+	15.2878i	0.268126	+	0.526227i
$845$	18.6967	−	13.5839i	0.643185	−	0.467301i
$846$	34.3151	+	17.4844i	1.17978	+	0.601126i
$847$	−6.82581	+	6.82581i	−0.234538	+	0.234538i
$848$	5.01711	+	31.6768i	0.172288	+	1.08779i
$849$	−33.7650	+	66.2675i	−1.15881	+	2.27430i
$850$	5.65841	−	2.88310i	0.194082	−	0.0988896i
$851$	13.7316	−	42.2614i	0.470712	−	1.44870i
$852$			102.701i			3.51847i
$853$	−7.89736	−	2.56601i	−0.270401	−	0.0878585i	0.170678	−	0.985327i	$-0.445404\pi$
$853$	−7.89736	−	2.56601i	−0.270401	−	0.0878585i	−0.441079	+	0.897468i	$0.645404\pi$
$854$	34.3246	+	5.43649i	1.17456	+	0.186033i
$855$	22.8467	−	3.61857i	0.781342	−	0.123752i
$856$	−0.615020	+	0.199832i	−0.0210209	+	0.00683012i
$857$	−7.27384	−	22.3866i	−0.248470	−	0.764711i	−0.995046	−	0.0994114i	$-0.968304\pi$
$857$	−7.27384	−	22.3866i	−0.248470	−	0.764711i	0.746577	−	0.665299i	$-0.231696\pi$
$858$	39.7967	+	39.7967i	1.35864	+	1.35864i
$859$	−26.6254	+	36.6468i	−0.908448	+	1.25037i	0.0592461	+	0.998243i	$0.481130\pi$
$859$	−26.6254	+	36.6468i	−0.908448	+	1.25037i	−0.967694	+	0.252128i	$0.918870\pi$
$860$	−6.72604			−0.229356
$861$	3.04858	+	19.6379i	0.103895	+	0.669258i
$862$	75.6066			2.57517
$863$	4.22081	−	5.80944i	0.143678	−	0.197756i	−0.731113	−	0.682257i	$-0.760999\pi$
$863$	4.22081	−	5.80944i	0.143678	−	0.197756i	0.874791	+	0.484501i	$0.160999\pi$
$864$	−19.4670	−	19.4670i	−0.662282	−	0.662282i
$865$	−3.57492	−	11.0025i	−0.121551	−	0.374095i
$866$	−72.5782	+	23.5821i	−2.46631	+	0.801352i
$867$	−50.9934	+	8.07655i	−1.73183	+	0.274294i
$868$	−13.9375	−	2.20748i	−0.473070	−	0.0749269i
$869$	7.40230	+	2.40515i	0.251106	+	0.0815893i
$870$		−	7.28586i		−	0.247014i
$871$	7.39860	−	22.7706i	0.250692	−	0.771551i
$872$	46.5880	−	23.7378i	1.57767	−	0.803863i
$873$	8.66379	−	17.0037i	0.293225	−	0.575486i
$874$	7.26345	+	45.8596i	0.245690	+	1.55122i
$875$	5.17848	−	5.17848i	0.175065	−	0.175065i
$876$	−107.493	−	54.7705i	−3.63186	−	1.85052i
$877$	−3.01364	+	2.18954i	−0.101764	+	0.0739355i	−0.637503	−	0.770448i	$-0.720033\pi$
$877$	−3.01364	+	2.18954i	−0.101764	+	0.0739355i	0.535740	+	0.844383i	$0.320033\pi$
$878$	37.4903	+	73.5788i	1.26524	+	2.48317i
$879$	17.1124	+	12.4329i	0.577188	+	0.419352i
$880$	0.344265	−	2.17361i	0.0116052	−	0.0732722i
$881$	−12.5162	−	17.2271i	−0.421682	−	0.580396i	0.544337	−	0.838867i	$-0.316781\pi$
$881$	−12.5162	−	17.2271i	−0.421682	−	0.580396i	−0.966019	+	0.258471i	$0.916781\pi$
$882$	9.32912	+	12.8404i	0.314128	+	0.432360i
$883$	−6.77255	+	42.7602i	−0.227915	+	1.43900i	0.562689	+	0.826668i	$0.309767\pi$
$883$	−6.77255	+	42.7602i	−0.227915	+	1.43900i	−0.790604	+	0.612328i	$0.790233\pi$
$884$	11.8943	+	8.64168i	0.400047	+	0.290651i
$885$	12.1046	+	23.7565i	0.406890	+	0.798567i
$886$	70.1090	−	50.9372i	2.35536	−	1.71127i
$887$	21.2004	+	10.8021i	0.711840	+	0.362701i	0.772116	−	0.635481i	$-0.219198\pi$
$887$	21.2004	+	10.8021i	0.711840	+	0.362701i	−0.0602764	+	0.998182i	$0.519198\pi$
$888$	92.8495	−	92.8495i	3.11582	−	3.11582i
$889$	0.974495	+	6.15272i	0.0326835	+	0.206356i
$890$	−3.74580	+	7.35155i	−0.125560	+	0.246424i
$891$	−15.6086	+	7.95299i	−0.522909	+	0.266435i
$892$	26.4670	−	81.4572i	0.886182	−	2.72739i
$893$			10.8526i			0.363169i
$894$	−78.7920	−	25.6011i	−2.63520	−	0.856228i
$895$	0.396273	+	0.0627635i	0.0132459	+	0.00209795i
$896$	−20.4818	+	3.24400i	−0.684250	+	0.108375i
$897$	−83.6189	+	27.1694i	−2.79195	+	0.907161i
$898$	11.1002	+	34.1630i	0.370420	+	1.14003i
$899$	−3.36903	−	3.36903i	−0.112363	−	0.112363i
$900$	−63.8013	+	87.8149i	−2.12671	+	2.92716i
$901$	−7.96897			−0.265485
$902$	−10.4961	+	14.3539i	−0.349484	+	0.477931i
$903$	7.18478			0.239094
$904$	17.8434	−	24.5594i	0.593464	−	0.816833i
$905$	6.31042	+	6.31042i	0.209766	+	0.209766i
$906$	38.1411	+	117.386i	1.26715	+	3.89990i
$907$	−8.58037	+	2.78793i	−0.284907	+	0.0925718i	−0.447984	−	0.894041i	$-0.647858\pi$
$907$	−8.58037	+	2.78793i	−0.284907	+	0.0925718i	0.163078	+	0.986613i	$0.447858\pi$
$908$	−15.7133	+	2.48875i	−0.521465	+	0.0825920i
$909$	115.638	+	18.3153i	3.83547	+	0.607479i
$910$	11.5877	+	3.76506i	0.384127	+	0.124810i
$911$			46.4879i			1.54021i	0.637915	+	0.770106i	$0.279797\pi$
$911$			46.4879i			1.54021i	−0.637915	+	0.770106i	$0.720203\pi$
$912$	−10.4316	+	32.1051i	−0.345424	+	1.06311i
$913$	4.94619	−	2.52021i	0.163695	−	0.0834068i
$914$	−21.7273	+	42.6423i	−0.718677	+	1.41048i
$915$	5.49822	+	34.7144i	0.181765	+	1.14762i
$916$	37.4748	−	37.4748i	1.23820	−	1.23820i
$917$	−2.22792	−	1.13518i	−0.0735723	−	0.0374870i
$918$	−13.1891	+	9.58245i	−0.435306	+	0.316268i
$919$	−7.17311	−	14.0780i	−0.236619	−	0.464391i	0.741910	−	0.670499i	$-0.233920\pi$
$919$	−7.17311	−	14.0780i	−0.236619	−	0.464391i	−0.978529	+	0.206108i	$0.933920\pi$
$920$	11.3046	+	8.21324i	0.372700	+	0.270783i
$921$	7.95979	−	50.2562i	0.262284	−	1.65600i
$922$	45.1972	+	62.2086i	1.48849	+	2.04873i
$923$	−34.0844	−	46.9132i	−1.12190	−	1.54417i
$924$	−2.09955	+	13.2560i	−0.0690701	+	0.436091i
$925$	36.3939	+	26.4417i	1.19663	+	0.869399i
$926$	8.36426	+	16.4158i	0.274867	+	0.539456i
$927$	19.8815	−	14.4448i	0.652995	−	0.474429i
$928$	−2.73719	−	1.39467i	−0.0898528	−	0.0457823i
$929$	11.7762	−	11.7762i	0.386366	−	0.386366i	−0.487023	−	0.873389i	$-0.661917\pi$
$929$	11.7762	−	11.7762i	0.386366	−	0.386366i	0.873389	+	0.487023i	$0.161917\pi$
$930$	−3.43087	−	21.6616i	−0.112503	−	0.710313i
$931$	−2.03048	+	3.98505i	−0.0665464	+	0.130605i
$932$	18.5490	−	9.45117i	0.607591	−	0.309583i
$933$	6.22595	−	19.1615i	0.203828	−	0.627320i
$934$		−	75.0378i		−	2.45531i
$935$	0.520054	+	0.168976i	0.0170076	+	0.00552610i
$936$	−176.692	−	27.9853i	−5.77536	−	0.914727i
$937$	−11.6399	+	1.84358i	−0.380260	+	0.0602273i	−0.343639	−	0.939102i	$-0.611660\pi$
$937$	−11.6399	+	1.84358i	−0.380260	+	0.0602273i	−0.0366214	+	0.999329i	$0.511660\pi$
$938$	8.34464	−	2.71134i	0.272462	−	0.0885283i
$939$	−2.97961	−	9.17031i	−0.0972361	−	0.299262i
$940$	4.98525	+	4.98525i	0.162601	+	0.162601i
$941$	−0.532860	+	0.733419i	−0.0173707	+	0.0239088i	−0.817614	−	0.575767i	$-0.804704\pi$
$941$	−0.532860	+	0.733419i	−0.0173707	+	0.0239088i	0.800243	+	0.599675i	$0.204704\pi$
$942$	−66.5144			−2.16716
$943$	−12.5354	−	24.7900i	−0.408209	−	0.807272i
$944$	−26.7922			−0.872011
$945$	−5.16754	+	7.11251i	−0.168100	+	0.231370i
$946$	4.54585	+	4.54585i	0.147798	+	0.147798i
$947$	7.75450	+	23.8659i	0.251987	+	0.775538i	0.994408	+	0.105604i	$0.0336776\pi$
$947$	7.75450	+	23.8659i	0.251987	+	0.775538i	−0.742421	+	0.669934i	$0.766322\pi$
$948$	−73.7635	+	23.9672i	−2.39573	+	0.778419i
$949$	67.2795	−	10.6560i	2.18399	−	0.345909i
$950$	−46.4263	−	7.35320i	−1.50627	−	0.238569i
$951$	70.0160	+	22.7496i	2.27043	+	0.737706i
$952$			2.49592i			0.0808933i
$953$	−14.7021	+	45.2483i	−0.476247	+	1.46574i	0.368022	+	0.929817i	$0.380035\pi$
$953$	−14.7021	+	45.2483i	−0.476247	+	1.46574i	−0.844269	+	0.535920i	$0.819965\pi$
$954$	186.502	−	95.0275i	6.03822	−	3.07663i
$955$	6.54669	−	12.8486i	0.211846	−	0.415771i
$956$	−2.12595	−	13.4227i	−0.0687581	−	0.434122i
$957$	−3.20430	+	3.20430i	−0.103580	+	0.103580i
$958$	−39.5228	−	20.1379i	−1.27692	−	0.650625i
$959$	13.0771	−	9.50105i	0.422281	−	0.306805i
$960$	−11.7636	−	23.0875i	−0.379670	−	0.745145i
$961$	13.4766	+	9.79131i	0.434729	+	0.315849i
$962$	−25.0364	+	158.074i	−0.807207	+	5.09651i
$963$	0.610356	+	0.840083i	0.0196685	+	0.0270713i
$964$	−1.20134	−	1.65351i	−0.0386927	−	0.0532559i
$965$	0.135897	−	0.858020i	0.00437468	−	0.0276207i
$966$	−26.0669	−	18.9387i	−0.838689	−	0.609343i
$967$	−24.7839	−	48.6411i	−0.796996	−	1.56419i	−0.825368	−	0.564595i	$-0.809033\pi$
$967$	−24.7839	−	48.6411i	−0.796996	−	1.56419i	0.0283727	−	0.999597i	$-0.490967\pi$
$968$	32.2579	−	23.4367i	1.03681	−	0.753284i
$969$	−7.47360	−	3.80799i	−0.240087	−	0.122330i
$970$	3.79618	−	3.79618i	0.121888	−	0.121888i
$971$	−0.452418	−	2.85645i	−0.0145188	−	0.0916680i	0.979365	−	0.202100i	$-0.0647766\pi$
$971$	−0.452418	−	2.85645i	−0.0145188	−	0.0916680i	−0.993884	+	0.110432i	$0.964777\pi$
$972$	22.0331	−	43.2424i	0.706712	−	1.38700i
$973$	−5.47195	+	2.78810i	−0.175423	+	0.0893823i
$974$	7.92120	−	24.3790i	0.253812	−	0.781152i
$975$		−	89.0085i		−	2.85055i
$976$	−33.5894	−	10.9138i	−1.07517	−	0.349344i
$977$	−51.9630	−	8.23013i	−1.66244	−	0.263305i	−0.746727	−	0.665131i	$-0.768376\pi$
$977$	−51.9630	−	8.23013i	−1.66244	−	0.263305i	−0.915716	+	0.401826i	$0.868376\pi$
$978$	12.7364	−	2.01724i	0.407265	−	0.0645044i
$979$	4.88058	−	1.58580i	0.155984	−	0.0506823i
$980$	0.897848	+	2.76329i	0.0286807	+	0.0882701i
$981$	−59.3691	−	59.3691i	−1.89551	−	1.89551i
$982$	2.92429	−	4.02494i	0.0933178	−	0.128441i
$983$	−33.0193			−1.05315			−0.526576	−	0.850128i	$-0.676525\pi$
$983$	−33.0193			−1.05315			−0.526576	+	0.850128i	$0.676525\pi$
$984$	0.251960	−	82.0867i	0.00803218	−	2.61683i
$985$	12.0738			0.384702
$986$	−1.06927	+	1.47172i	−0.0340524	+	0.0468692i
$987$	−5.32526	−	5.32526i	−0.169505	−	0.169505i
$988$	−33.6273	−	103.494i	−1.06983	−	3.29259i
$989$	−9.55151	+	3.10347i	−0.303720	+	0.0986847i
$990$	−14.1861	+	2.24685i	−0.450863	+	0.0714097i
$991$	−22.8648	−	3.62142i	−0.726323	−	0.115038i	−0.217685	−	0.976019i	$-0.569851\pi$
$991$	−22.8648	−	3.62142i	−0.726323	−	0.115038i	−0.508638	+	0.860981i	$0.669851\pi$
$992$	−8.79471	−	2.85758i	−0.279232	−	0.0907281i
$993$			88.8137i			2.81842i
$994$	6.56680	−	20.2105i	0.208286	−	0.641039i
$995$	17.0697	−	8.69744i	0.541145	−	0.275727i
$996$	−25.1137	+	49.2885i	−0.795759	+	1.56177i
$997$	−2.03818	−	12.8686i	−0.0645499	−	0.407552i	−0.998714	−	0.0507072i	$-0.983852\pi$
$997$	−2.03818	−	12.8686i	−0.0645499	−	0.407552i	0.934164	−	0.356845i	$-0.116148\pi$
$998$	−19.4883	+	19.4883i	−0.616891	+	0.616891i
$999$	−102.896	−	52.4280i	−3.25548	−	1.65875i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.u.a.8.18	✓	160
41.36	even	20	inner	287.2.u.a.36.18	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.u.a.8.18	✓	160	1.1	even	1	trivial
287.2.u.a.36.18	yes	160	41.36	even	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.u (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.40653 - 1.93593i) q^{2} +(-2.19462 - 2.19462i) q^{3} +(-1.15144 - 3.54378i) q^{4} +(-0.741595 + 0.240959i) q^{5} +(-7.33543 + 1.16182i) q^{6} +(0.987688 + 0.156434i) q^{7} +(-3.92839 - 1.27641i) q^{8} +6.63271i q^{9} +O(q^{10})\)	\(q+(1.40653 - 1.93593i) q^{2} +(-2.19462 - 2.19462i) q^{3} +(-1.15144 - 3.54378i) q^{4} +(-0.741595 + 0.240959i) q^{5} +(-7.33543 + 1.16182i) q^{6} +(0.987688 + 0.156434i) q^{7} +(-3.92839 - 1.27641i) q^{8} +6.63271i q^{9} +(-0.576599 + 1.77459i) q^{10} +(1.03405 - 0.526873i) q^{11} +(-5.25026 + 10.3042i) q^{12} +(-1.02148 - 6.44937i) q^{13} +(1.69206 - 1.69206i) q^{14} +(2.15633 + 1.09871i) q^{15} +(-1.96743 + 1.42942i) q^{16} +(-0.274327 - 0.538397i) q^{17} +(12.8404 + 9.32912i) q^{18} +(-0.699657 + 4.41746i) q^{19} +(1.70781 + 2.35060i) q^{20} +(-1.82429 - 2.51091i) q^{21} +(0.434433 - 2.74290i) q^{22} +(3.50981 + 2.55003i) q^{23} +(5.82009 + 11.4226i) q^{24} +(-3.55318 + 2.58154i) q^{25} +(-13.9223 - 7.09374i) q^{26} +(7.97241 - 7.97241i) q^{27} +(-0.582898 - 3.68027i) q^{28} +(0.571165 - 1.12097i) q^{29} +(5.15997 - 2.62913i) q^{30} +(1.17027 - 3.60173i) q^{31} -2.44180i q^{32} +(-3.42563 - 1.11305i) q^{33} +(-1.42815 - 0.226196i) q^{34} +(-0.770159 + 0.121981i) q^{35} +(23.5048 - 7.63718i) q^{36} +(-3.16515 - 9.74132i) q^{37} +(7.56779 + 7.56779i) q^{38} +(-11.9122 + 16.3957i) q^{39} +3.22084 q^{40} +(-5.69628 - 2.92446i) q^{41} -7.42686 q^{42} +(-1.36069 + 1.87282i) q^{43} +(-3.05777 - 3.05777i) q^{44} +(-1.59821 - 4.91879i) q^{45} +(9.87334 - 3.20804i) q^{46} +(2.39663 - 0.379590i) q^{47} +(7.45478 + 1.18072i) q^{48} +(0.951057 + 0.309017i) q^{49} +10.5097i q^{50} +(-0.579534 + 1.78362i) q^{51} +(-21.6789 + 11.0460i) q^{52} +(5.98725 - 11.7506i) q^{53} +(-4.22054 - 26.6475i) q^{54} +(-0.639890 + 0.639890i) q^{55} +(-3.68035 - 1.87523i) q^{56} +(11.2301 - 8.15917i) q^{57} +(-1.36676 - 2.68242i) q^{58} +(8.91302 + 6.47569i) q^{59} +(1.41068 - 8.90666i) q^{60} +(8.53637 + 11.7493i) q^{61} +(-5.32666 - 7.33152i) q^{62} +(-1.03758 + 6.55105i) q^{63} +(-8.66200 - 6.29331i) q^{64} +(2.31156 + 4.53669i) q^{65} +(-6.97304 + 5.06621i) q^{66} +(3.26701 + 1.66463i) q^{67} +(-1.59209 + 1.59209i) q^{68} +(-2.10636 - 13.2990i) q^{69} +(-0.847108 + 1.66254i) q^{70} +(7.91263 - 4.03169i) q^{71} +(8.46607 - 26.0559i) q^{72} +10.4320i q^{73} +(-23.3104 - 7.57400i) q^{74} +(13.4634 + 2.13239i) q^{75} +(16.4601 - 2.60702i) q^{76} +(1.10374 - 0.358626i) q^{77} +(14.9860 + 46.1221i) q^{78} +(4.74227 + 4.74227i) q^{79} +(1.11460 - 1.53412i) q^{80} -15.0947 q^{81} +(-13.6735 + 6.91423i) q^{82} +4.78333 q^{83} +(-6.79756 + 9.35603i) q^{84} +(0.333171 + 0.333171i) q^{85} +(1.71180 + 5.26838i) q^{86} +(-3.71360 + 1.20662i) q^{87} +(-4.73465 + 0.749895i) q^{88} +(4.36743 + 0.691733i) q^{89} +(-11.7703 - 3.82442i) q^{90} -6.52976i q^{91} +(4.99538 - 15.3742i) q^{92} +(-10.4727 + 5.33613i) q^{93} +(2.63609 - 5.17361i) q^{94} +(-0.545564 - 3.44456i) q^{95} +(-5.35882 + 5.35882i) q^{96} +(-2.56361 - 1.30622i) q^{97} +(1.93593 - 1.40653i) q^{98} +(3.49460 + 6.85853i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Introduction

L-functions

Modular forms

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