LMFDB - Embedded newform 280.2.br.a.67.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (of order $12$, degree $4$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			67.10
Character	$\chi$	$=$	280.67
Dual form			280.2.br.a.163.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.16325 + 0.804274i) q^{2} +(-0.540340 - 2.01658i) q^{3} +(0.706287 - 1.87114i) q^{4} +(0.161306 - 2.23024i) q^{5} +(2.25043 + 1.91120i) q^{6} +(1.67330 - 2.04940i) q^{7} +(0.683321 + 2.74464i) q^{8} +(-1.17654 + 0.679275i) q^{9} +O(q^{10})$	\(q+(-1.16325 + 0.804274i) q^{2} +(-0.540340 - 2.01658i) q^{3} +(0.706287 - 1.87114i) q^{4} +(0.161306 - 2.23024i) q^{5} +(2.25043 + 1.91120i) q^{6} +(1.67330 - 2.04940i) q^{7} +(0.683321 + 2.74464i) q^{8} +(-1.17654 + 0.679275i) q^{9} +(1.60609 + 2.72406i) q^{10} +(-2.35929 + 4.08641i) q^{11} +(-4.15493 - 0.413232i) q^{12} +(-3.68344 - 3.68344i) q^{13} +(-0.298186 + 3.72976i) q^{14} +(-4.58461 + 0.879803i) q^{15} +(-3.00232 - 2.64312i) q^{16} +(5.98656 - 1.60409i) q^{17} +(0.822282 - 1.73642i) q^{18} +(-2.62179 + 1.51369i) q^{19} +(-4.05916 - 1.87702i) q^{20} +(-5.03693 - 2.26697i) q^{21} +(-0.542155 - 6.65101i) q^{22} +(-0.371783 + 1.38751i) q^{23} +(5.16556 - 2.86101i) q^{24} +(-4.94796 - 0.719504i) q^{25} +(7.24725 + 1.32226i) q^{26} +(-2.42317 - 2.42317i) q^{27} +(-2.65288 - 4.57845i) q^{28} +3.08965 q^{29} +(4.62544 - 4.71071i) q^{30} +(0.111644 + 0.0644574i) q^{31} +(5.61823 + 0.659920i) q^{32} +(9.51537 + 2.54964i) q^{33} +(-5.67371 + 6.68079i) q^{34} +(-4.30075 - 4.06246i) q^{35} +(0.440043 + 2.68123i) q^{36} +(2.12237 + 0.568688i) q^{37} +(1.83236 - 3.86943i) q^{38} +(-5.43764 + 9.41826i) q^{39} +(6.23145 - 1.08124i) q^{40} +1.37721 q^{41} +(7.68246 - 1.41402i) q^{42} +(2.05196 - 2.05196i) q^{43} +(5.97990 + 7.30073i) q^{44} +(1.32516 + 2.73354i) q^{45} +(-0.683465 - 1.91304i) q^{46} +(-11.0639 - 2.96456i) q^{47} +(-3.70779 + 7.48259i) q^{48} +(-1.40010 - 6.85855i) q^{49} +(6.33438 - 3.14255i) q^{50} +(-6.46955 - 11.2056i) q^{51} +(-9.49380 + 4.29066i) q^{52} +(-2.82950 + 0.758163i) q^{53} +(4.76764 + 0.869853i) q^{54} +(8.73311 + 5.92095i) q^{55} +(6.76829 + 3.19223i) q^{56} +(4.46913 + 4.46913i) q^{57} +(-3.59403 + 2.48492i) q^{58} +(11.1239 + 6.42236i) q^{59} +(-1.59182 + 9.19984i) q^{60} +(5.49729 - 3.17386i) q^{61} +(-0.181710 + 0.0148121i) q^{62} +(-0.576599 + 3.54783i) q^{63} +(-7.06615 + 3.75095i) q^{64} +(-8.80914 + 7.62081i) q^{65} +(-13.1193 + 4.68711i) q^{66} +(7.28290 - 1.95145i) q^{67} +(1.22675 - 12.3346i) q^{68} +2.99892 q^{69} +(8.27016 + 1.26666i) q^{70} +1.96950i q^{71} +(-2.66832 - 2.76502i) q^{72} +(0.205805 + 0.768076i) q^{73} +(-2.92622 + 1.04544i) q^{74} +(1.22265 + 10.3667i) q^{75} +(0.980587 + 5.97482i) q^{76} +(4.42689 + 11.6729i) q^{77} +(-1.24955 - 15.3291i) q^{78} +(-0.00532584 - 0.00922462i) q^{79} +(-6.37910 + 6.26954i) q^{80} +(-5.61500 + 9.72546i) q^{81} +(-1.60203 + 1.10765i) q^{82} +(4.27536 - 4.27536i) q^{83} +(-7.79934 + 7.82366i) q^{84} +(-2.61185 - 13.6102i) q^{85} +(-0.736597 + 4.03726i) q^{86} +(-1.66946 - 6.23052i) q^{87} +(-12.8279 - 3.68308i) q^{88} +(6.15365 - 3.55281i) q^{89} +(-3.74000 - 2.11398i) q^{90} +(-13.7124 + 1.38534i) q^{91} +(2.33364 + 1.67564i) q^{92} +(0.0696579 - 0.259967i) q^{93} +(15.2543 - 5.44987i) q^{94} +(2.95298 + 6.09139i) q^{95} +(-1.70498 - 11.6862i) q^{96} +(8.22842 + 8.22842i) q^{97} +(7.14482 + 6.85212i) q^{98} -6.41042i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.16325	+	0.804274i	−0.822540	+	0.568707i
$2$	−1.16325	+	0.804274i	−0.822540	+	0.568707i
$3$	−0.540340	−	2.01658i	−0.311966	−	1.16427i	−0.926782	−	0.375601i	$-0.877436\pi$
$3$	−0.540340	−	2.01658i	−0.311966	−	1.16427i	0.614816	−	0.788671i	$-0.289230\pi$
$4$	0.706287	−	1.87114i	0.353144	−	0.935569i
$5$	0.161306	−	2.23024i	0.0721384	−	0.997395i
$5$	0.161306	−	2.23024i	0.0721384	−	0.997395i
$6$	2.25043	+	1.91120i	0.918734	+	0.780242i
$7$	1.67330	−	2.04940i	0.632450	−	0.774601i
$7$	1.67330	−	2.04940i	0.632450	−	0.774601i
$8$	0.683321	+	2.74464i	0.241590	+	0.970378i
$9$	−1.17654	+	0.679275i	−0.392179	+	0.226425i
$10$	1.60609	+	2.72406i	0.507889	+	0.861422i
$11$	−2.35929	+	4.08641i	−0.711352	+	1.23210i	0.252998	+	0.967467i	$0.418584\pi$
$11$	−2.35929	+	4.08641i	−0.711352	+	1.23210i	−0.964350	+	0.264631i	$0.914750\pi$
$12$	−4.15493	−	0.413232i	−1.19942	−	0.119290i
$13$	−3.68344	−	3.68344i	−1.02160	−	1.02160i	−0.999761	−	0.0218423i	$-0.993047\pi$
$13$	−3.68344	−	3.68344i	−1.02160	−	1.02160i	−0.0218423	−	0.999761i	$-0.506953\pi$
$14$	−0.298186	+	3.72976i	−0.0796935	+	0.996819i
$15$	−4.58461	+	0.879803i	−1.18374	+	0.227164i
$16$	−3.00232	−	2.64312i	−0.750579	−	0.660781i
$17$	5.98656	−	1.60409i	1.45195	−	0.389050i	0.555251	−	0.831683i	$-0.312622\pi$
$17$	5.98656	−	1.60409i	1.45195	−	0.389050i	0.896703	+	0.442633i	$0.145956\pi$
$18$	0.822282	−	1.73642i	0.193814	−	0.409279i
$19$	−2.62179	+	1.51369i	−0.601479	+	0.347264i	−0.769623	−	0.638498i	$-0.779556\pi$
$19$	−2.62179	+	1.51369i	−0.601479	+	0.347264i	0.168144	+	0.985762i	$0.446223\pi$
$20$	−4.05916	−	1.87702i	−0.907656	−	0.419714i
$21$	−5.03693	−	2.26697i	−1.09915	−	0.494694i
$22$	−0.542155	−	6.65101i	−0.115588	−	1.41800i
$23$	−0.371783	+	1.38751i	−0.0775221	+	0.289316i	−0.993793	−	0.111242i	$-0.964517\pi$
$23$	−0.371783	+	1.38751i	−0.0775221	+	0.289316i	0.916271	+	0.400558i	$0.131184\pi$
$24$	5.16556	−	2.86101i	1.05442	−	0.584001i
$25$	−4.94796	−	0.719504i	−0.989592	−	0.143901i
$26$	7.24725	+	1.32226i	1.42130	+	0.259316i
$27$	−2.42317	−	2.42317i	−0.466339	−	0.466339i
$28$	−2.65288	−	4.57845i	−0.501348	−	0.865246i
$29$	3.08965			0.573734			0.286867	−	0.957970i	$-0.407386\pi$
$29$	3.08965			0.573734			0.286867	+	0.957970i	$0.407386\pi$
$30$	4.62544	−	4.71071i	0.844485	−	0.860055i
$31$	0.111644	+	0.0644574i	0.0200518	+	0.0115769i	0.509992	−	0.860179i	$-0.329648\pi$
$31$	0.111644	+	0.0644574i	0.0200518	+	0.0115769i	−0.489941	+	0.871756i	$0.662982\pi$
$32$	5.61823	+	0.659920i	0.993172	+	0.116658i
$33$	9.51537	+	2.54964i	1.65641	+	0.443835i
$34$	−5.67371	+	6.68079i	−0.973034	+	1.14575i
$35$	−4.30075	−	4.06246i	−0.726959	−	0.686680i
$36$	0.440043	+	2.68123i	0.0733405	+	0.446871i
$37$	2.12237	+	0.568688i	0.348916	+	0.0934917i	0.429020	−	0.903295i	$-0.358859\pi$
$37$	2.12237	+	0.568688i	0.348916	+	0.0934917i	−0.0801048	+	0.996786i	$0.525526\pi$
$38$	1.83236	−	3.86943i	0.297249	−	0.627704i
$39$	−5.43764	+	9.41826i	−0.870719	+	1.50813i
$40$	6.23145	−	1.08124i	0.985278	−	0.170959i
$41$	1.37721			0.215083			0.107542	−	0.994201i	$-0.465702\pi$
$41$	1.37721			0.215083			0.107542	+	0.994201i	$0.465702\pi$
$42$	7.68246	−	1.41402i	1.18543	−	0.218188i
$43$	2.05196	−	2.05196i	0.312920	−	0.312920i	−0.533120	−	0.846040i	$-0.678980\pi$
$43$	2.05196	−	2.05196i	0.312920	−	0.312920i	0.846040	+	0.533120i	$0.178980\pi$
$44$	5.97990	+	7.30073i	0.901503	+	1.10063i
$45$	1.32516	+	2.73354i	0.197544	+	0.407492i
$46$	−0.683465	−	1.91304i	−0.100771	−	0.282062i
$47$	−11.0639	−	2.96456i	−1.61383	−	0.432425i	−0.664650	−	0.747154i	$-0.731420\pi$
$47$	−11.0639	−	2.96456i	−1.61383	−	0.432425i	−0.949181	+	0.314730i	$0.898086\pi$
$48$	−3.70779	+	7.48259i	−0.535173	+	1.08002i
$49$	−1.40010	−	6.85855i	−0.200015	−	0.979793i
$50$	6.33438	−	3.14255i	0.895816	−	0.444424i
$51$	−6.46955	−	11.2056i	−0.905919	−	1.56910i
$52$	−9.49380	+	4.29066i	−1.31655	+	0.595008i
$53$	−2.82950	+	0.758163i	−0.388662	+	0.104142i	−0.447858	−	0.894105i	$-0.647813\pi$
$53$	−2.82950	+	0.758163i	−0.388662	+	0.104142i	0.0591960	+	0.998246i	$0.481146\pi$
$54$	4.76764	+	0.869853i	0.648793	+	0.118372i
$55$	8.73311	+	5.92095i	1.17757	+	0.798380i
$56$	6.76829	+	3.19223i	0.904450	+	0.426579i
$57$	4.46913	+	4.46913i	0.591950	+	0.591950i
$58$	−3.59403	+	2.48492i	−0.471919	+	0.326287i
$59$	11.1239	+	6.42236i	1.44820	+	0.836120i	0.998374	−	0.0569956i	$-0.0181521\pi$
$59$	11.1239	+	6.42236i	1.44820	+	0.836120i	0.449828	+	0.893115i	$0.351485\pi$
$60$	−1.59182	+	9.19984i	−0.205503	+	1.18769i
$61$	5.49729	−	3.17386i	0.703856	−	0.406372i	−0.104926	−	0.994480i	$-0.533460\pi$
$61$	5.49729	−	3.17386i	0.703856	−	0.406372i	0.808782	+	0.588108i	$0.200127\pi$
$62$	−0.181710	+	0.0148121i	−0.0230772	+	0.00188113i
$63$	−0.576599	+	3.54783i	−0.0726447	+	0.446985i
$64$	−7.06615	+	3.75095i	−0.883268	+	0.468868i
$65$	−8.80914	+	7.62081i	−1.09264	+	0.945245i
$66$	−13.1193	+	4.68711i	−1.61488	+	0.576943i
$67$	7.28290	−	1.95145i	0.889748	−	0.238407i	0.215140	−	0.976583i	$-0.430979\pi$
$67$	7.28290	−	1.95145i	0.889748	−	0.238407i	0.674608	+	0.738176i	$0.264313\pi$
$68$	1.22675	−	12.3346i	0.148765	−	1.49579i
$69$	2.99892			0.361027
$70$	8.27016	+	1.26666i	0.988473	+	0.151395i
$71$			1.96950i			0.233736i	0.993147	+	0.116868i	$0.0372855\pi$
$71$			1.96950i			0.233736i	−0.993147	+	0.116868i	$0.962715\pi$
$72$	−2.66832	−	2.76502i	−0.314465	−	0.325860i
$73$	0.205805	+	0.768076i	0.0240877	+	0.0898965i	0.976923	−	0.213590i	$-0.0685158\pi$
$73$	0.205805	+	0.768076i	0.0240877	+	0.0898965i	−0.952836	+	0.303487i	$0.901849\pi$
$74$	−2.92622	+	1.04544i	−0.340166	+	0.121530i
$75$	1.22265	+	10.3667i	0.141179	+	1.19705i
$76$	0.980587	+	5.97482i	0.112481	+	0.685359i
$77$	4.42689	+	11.6729i	0.504490	+	1.33025i
$78$	−1.24955	−	15.3291i	−0.141483	−	1.73568i
$79$	−0.00532584	−	0.00922462i	−0.000599203	−	0.00103785i	0.865726	−	0.500519i	$-0.166857\pi$
$79$	−0.00532584	−	0.00922462i	−0.000599203	−	0.00103785i	−0.866325	+	0.499481i	$0.833524\pi$
$80$	−6.37910	+	6.26954i	−0.713205	+	0.700956i
$81$	−5.61500	+	9.72546i	−0.623888	+	1.08061i
$82$	−1.60203	+	1.10765i	−0.176915	+	0.122320i
$83$	4.27536	−	4.27536i	0.469281	−	0.469281i	−0.432400	−	0.901682i	$-0.642333\pi$
$83$	4.27536	−	4.27536i	0.469281	−	0.469281i	0.901682	+	0.432400i	$0.142333\pi$
$84$	−7.79934	+	7.82366i	−0.850978	+	0.853631i
$85$	−2.61185	−	13.6102i	−0.283295	−	1.47624i
$86$	−0.736597	+	4.03726i	−0.0794293	+	0.435349i
$87$	−1.66946	−	6.23052i	−0.178985	−	0.667981i
$88$	−12.8279	−	3.68308i	−1.36746	−	0.392618i
$89$	6.15365	−	3.55281i	0.652286	−	0.376597i	−0.137046	−	0.990565i	$-0.543761\pi$
$89$	6.15365	−	3.55281i	0.652286	−	0.376597i	0.789331	+	0.613967i	$0.210427\pi$
$90$	−3.74000	−	2.11398i	−0.394231	−	0.222833i
$91$	−13.7124	+	1.38534i	−1.43745	+	0.145223i
$92$	2.33364	+	1.67564i	0.243299	+	0.174698i
$93$	0.0696579	−	0.259967i	0.00722318	−	0.0269573i
$94$	15.2543	−	5.44987i	1.57336	−	0.562111i
$95$	2.95298	+	6.09139i	0.302970	+	0.624963i
$96$	−1.70498	−	11.6862i	−0.174013	−	1.19272i
$97$	8.22842	+	8.22842i	0.835470	+	0.835470i	0.988259	−	0.152789i	$-0.0488256\pi$
$97$	8.22842	+	8.22842i	0.835470	+	0.835470i	−0.152789	+	0.988259i	$0.548826\pi$
$98$	7.14482	+	6.85212i	0.721736	+	0.692169i
$99$		−	6.41042i		−	0.644271i
$100$	−4.84097	+	8.75014i	−0.484097	+	0.875014i
$101$	5.34223	+	3.08434i	0.531572	+	0.306903i	0.741656	−	0.670780i	$-0.234041\pi$
$101$	5.34223	+	3.08434i	0.531572	+	0.306903i	−0.210085	+	0.977683i	$0.567374\pi$
$102$	16.5381	+	7.83158i	1.63751	+	0.775442i
$103$	0.666987	−	2.48923i	0.0657202	−	0.245271i	−0.925249	−	0.379360i	$-0.876144\pi$
$103$	0.666987	−	2.48923i	0.0657202	−	0.245271i	0.990969	+	0.134089i	$0.0428108\pi$
$104$	7.59277	−	12.6267i	0.744533	−	1.23815i
$105$	−5.86839	+	10.8679i	−0.572696	+	1.06060i
$106$	2.68164	−	3.15763i	0.260464	−	0.306696i
$107$	−1.70933	+	6.37932i	−0.165248	+	0.616712i	0.832761	+	0.553633i	$0.186759\pi$
$107$	−1.70933	+	6.37932i	−0.165248	+	0.616712i	−0.998009	+	0.0630795i	$0.979908\pi$
$108$	−6.24554	+	2.82263i	−0.600977	+	0.271608i
$109$	9.60779	−	16.6412i	0.920260	−	1.59394i	0.121247	−	0.992622i	$-0.461311\pi$
$109$	9.60779	−	16.6412i	0.920260	−	1.59394i	0.799013	−	0.601314i	$-0.205356\pi$
$110$	−14.9208	+	0.136286i	−1.42264	+	0.0129944i
$111$		−	4.58721i		−	0.435399i
$112$	−10.4406	+	1.73021i	−0.986545	+	0.163489i
$113$	13.6117	−	13.6117i	1.28048	−	1.28048i	0.340089	−	0.940393i	$-0.389543\pi$
$113$	13.6117	−	13.6117i	1.28048	−	1.28048i	0.940393	−	0.340089i	$-0.110457\pi$
$114$	−8.79310	−	1.60430i	−0.823549	−	0.150256i
$115$	3.03452	+	1.05298i	0.282970	+	0.0981910i
$116$	2.18218	−	5.78116i	0.202610	−	0.536767i
$117$	6.83578	+	1.83164i	0.631968	+	0.169335i
$118$	−18.1051	+	1.47583i	−1.66671	+	0.135861i
$119$	6.72990	−	14.9530i	0.616929	−	1.37074i
$120$	−5.54751	−	11.9820i	−0.506416	−	1.09380i
$121$	−5.63248	−	9.75574i	−0.512044	−	0.886886i
$122$	−3.84206	+	8.11332i	−0.347843	+	0.734545i
$123$	−0.744160	−	2.77724i	−0.0670986	−	0.250415i
$124$	0.199461	−	0.163375i	0.0179121	−	0.0146715i
$125$	−2.40281	+	10.9191i	−0.214914	+	0.976633i
$126$	−2.18270	−	4.59075i	−0.194451	−	0.408977i
$127$	10.1170	−	10.1170i	0.897736	−	0.897736i	−0.0974998	−	0.995236i	$-0.531085\pi$
$127$	10.1170	−	10.1170i	0.897736	−	0.897736i	0.995236	+	0.0974998i	$0.0310845\pi$
$128$	5.20289	−	10.0464i	0.459874	−	0.887984i
$129$	−5.24668	−	3.02917i	−0.461944	−	0.266704i
$130$	4.11798	−	15.9498i	0.361171	−	1.39889i
$131$	−5.32259	−	9.21899i	−0.465036	−	0.805467i	0.534167	−	0.845379i	$-0.320625\pi$
$131$	−5.32259	−	9.21899i	−0.465036	−	0.805467i	−0.999203	+	0.0399124i	$0.987292\pi$
$132$	11.4913	−	16.0038i	1.00019	−	1.39295i
$133$	−1.28489	+	7.90596i	−0.111414	+	0.685534i
$134$	−6.90231	+	8.12746i	−0.596269	+	0.702105i
$135$	−5.79513	+	5.01338i	−0.498765	+	0.431483i
$136$	8.49340	+	15.3349i	0.728303	+	1.31495i
$137$	−10.8770	+	2.91449i	−0.929288	+	0.249002i	−0.691551	−	0.722328i	$-0.743072\pi$
$137$	−10.8770	+	2.91449i	−0.929288	+	0.249002i	−0.237737	+	0.971330i	$0.576406\pi$
$138$	−3.48848	+	2.41195i	−0.296959	+	0.205319i
$139$		−	8.91218i		−	0.755921i	−0.925822	−	0.377961i	$-0.876625\pi$
$139$		−	8.91218i		−	0.755921i	0.925822	−	0.377961i	$-0.123375\pi$
$140$	−10.6390	+	5.17804i	−0.899158	+	0.437624i
$141$			23.9130i			2.01384i
$142$	−1.58401	−	2.29101i	−0.132928	−	0.192257i
$143$	23.7424	−	6.36175i	1.98544	−	0.531996i
$144$	5.32775	+	1.07034i	0.443979	+	0.0891948i
$145$	0.498380	−	6.89067i	0.0413882	−	0.572239i
$146$	−0.857146	−	0.727938i	−0.0709379	−	0.0602446i
$147$	−13.0743	+	6.52937i	−1.07835	+	0.538533i
$148$	2.56310	−	3.56959i	0.210685	−	0.293419i
$149$	−3.49054	−	6.04578i	−0.285956	−	0.495290i	0.686885	−	0.726766i	$-0.258978\pi$
$149$	−3.49054	−	6.04578i	−0.285956	−	0.495290i	−0.972841	+	0.231476i	$0.925644\pi$
$150$	−9.75992	−	11.0757i	−0.796894	−	0.904328i
$151$	6.68363	+	3.85879i	0.543906	+	0.314024i	0.746660	−	0.665205i	$-0.231656\pi$
$151$	6.68363	+	3.85879i	0.543906	+	0.314024i	−0.202755	+	0.979230i	$0.564989\pi$
$152$	−5.94606	−	6.16154i	−0.482289	−	0.499767i
$153$	−5.95379	+	5.95379i	−0.481336	+	0.481336i
$154$	−14.5378	−	10.0181i	−1.17149	−	0.807280i
$155$	0.161764	−	0.238595i	0.0129932	−	0.0191644i
$156$	13.7823	+	16.8266i	1.10347	+	1.34720i
$157$	−2.19146	−	8.17866i	−0.174898	−	0.652728i	−0.996569	−	0.0827660i	$-0.973625\pi$
$157$	−2.19146	−	8.17866i	−0.174898	−	0.652728i	0.821671	−	0.569962i	$-0.193042\pi$
$158$	0.0136144	+	0.00644708i	0.00108310	+	0.000512902i
$159$	3.05779	+	5.29624i	0.242498	+	0.420019i
$160$	2.37804	−	12.4236i	0.188000	−	0.982169i
$161$	2.22147	+	3.08367i	0.175076	+	0.243027i
$162$	−1.29030	−	15.8291i	−0.101376	−	1.24365i
$163$	−5.35158	−	1.43395i	−0.419168	−	0.112316i	0.0430692	−	0.999072i	$-0.486286\pi$
$163$	−5.35158	−	1.43395i	−0.419168	−	0.112316i	−0.462237	+	0.886756i	$0.652953\pi$
$164$	0.972703	−	2.57694i	0.0759554	−	0.201225i
$165$	7.22120	−	20.8103i	0.562169	−	1.62008i
$166$	−1.53474	+	8.41185i	−0.119119	+	0.652887i
$167$	−9.02405	+	9.02405i	−0.698302	+	0.698302i	−0.964044	−	0.265742i	$-0.914383\pi$
$167$	−9.02405	+	9.02405i	−0.698302	+	0.698302i	0.265742	+	0.964044i	$0.414383\pi$
$168$	2.78019	−	15.3737i	0.214497	−	1.18610i
$169$			14.1355i			1.08735i
$170$	13.9846	+	13.7314i	1.07257	+	1.05315i
$171$	2.05642	−	3.56183i	0.157258	−	0.272380i
$172$	−2.39022	−	5.28876i	−0.182253	−	0.403264i
$173$	−4.47772	+	16.7111i	−0.340435	+	1.27052i	0.557421	+	0.830230i	$0.311791\pi$
$173$	−4.47772	+	16.7111i	−0.340435	+	1.27052i	−0.897856	+	0.440290i	$0.854876\pi$
$174$	6.95304	+	5.90492i	0.527108	+	0.447651i
$175$	−9.75400	+	8.93641i	−0.737333	+	0.675529i
$176$	17.8842	−	6.03280i	1.34807	−	0.454739i
$177$	6.94052	−	25.9024i	0.521681	−	1.94694i
$178$	−4.30078	+	9.08202i	−0.322357	+	0.680726i
$179$	16.6598	+	9.61857i	1.24522	+	0.718925i	0.970151	−	0.242500i	$-0.0779676\pi$
$179$	16.6598	+	9.61857i	1.24522	+	0.718925i	0.275064	+	0.961426i	$0.411301\pi$
$180$	6.05077	−	0.548903i	0.450998	−	0.0409128i
$181$		−	7.24675i		−	0.538647i	−0.963050	−	0.269323i	$-0.913200\pi$
$181$		−	7.24675i		−	0.538647i	0.963050	−	0.269323i	$-0.0868000\pi$
$182$	14.8367	−	12.6400i	1.09977	−	0.936939i
$183$	−9.37075	−	9.37075i	−0.692706	−	0.692706i
$184$	−4.06228	−	0.0722956i	−0.299475	−	0.00532970i
$185$	1.61066	−	4.64167i	0.118418	−	0.341262i
$186$	0.128055	+	0.358429i	0.00938945	+	0.0262813i
$187$	−7.56904	+	28.2480i	−0.553503	+	2.06570i
$188$	−13.3614	+	18.6082i	−0.974478	+	1.35714i
$189$	−9.02075	+	0.911350i	−0.656163	+	0.0662909i
$190$	−8.33419	−	4.71078i	−0.604626	−	0.341756i
$191$	2.11821	−	1.22295i	0.153268	−	0.0884893i	−0.421405	−	0.906873i	$-0.638463\pi$
$191$	2.11821	−	1.22295i	0.153268	−	0.0884893i	0.574673	+	0.818383i	$0.305129\pi$
$192$	11.3822	+	12.2226i	0.821439	+	0.882093i
$193$	2.64097	+	9.85623i	0.190101	+	0.709467i	0.993481	+	0.114000i	$0.0363664\pi$
$193$	2.64097	+	9.85623i	0.190101	+	0.709467i	−0.803380	+	0.595467i	$0.796967\pi$
$194$	−16.1896	−	2.95378i	−1.16234	−	0.212069i
$195$	20.1279	+	13.6465i	1.44139	+	0.977244i
$196$	−13.8222	−	2.22432i	−0.987298	−	0.158880i
$197$	−10.1808	+	10.1808i	−0.725355	+	0.725355i	−0.969691	−	0.244336i	$-0.921430\pi$
$197$	−10.1808	+	10.1808i	−0.725355	+	0.725355i	0.244336	+	0.969691i	$0.421430\pi$
$198$	5.15573	+	7.45690i	0.366402	+	0.529939i
$199$	−7.97368	+	13.8108i	−0.565239	+	0.979023i	0.431788	+	0.901975i	$0.357883\pi$
$199$	−7.97368	+	13.8108i	−0.565239	+	0.979023i	−0.997027	+	0.0770479i	$0.975451\pi$
$200$	−1.40626	−	14.0720i	−0.0994376	−	0.995044i
$201$	−7.87048	−	13.6321i	−0.555141	−	0.961533i
$202$	−8.69499	+	0.708769i	−0.611777	+	0.0498688i
$203$	5.16993	−	6.33194i	0.362858	−	0.444415i
$204$	−25.5366	+	4.19106i	−1.78792	+	0.293433i
$205$	0.222152	−	3.07150i	0.0155158	−	0.214523i
$206$	1.22615	+	3.43203i	0.0854300	+	0.239121i
$207$	−0.505086	−	1.88501i	−0.0351059	−	0.131017i
$208$	1.32307	+	20.7947i	0.0917385	+	1.44185i
$209$		−	14.2849i		−	0.988108i
$210$	−1.91438	−	17.3618i	−0.132105	−	1.19808i
$211$	9.53458			0.656387			0.328194	−	0.944610i	$-0.393560\pi$
$211$	9.53458			0.656387			0.328194	+	0.944610i	$0.393560\pi$
$212$	−0.579814	+	5.82987i	−0.0398218	+	0.400397i
$213$	3.97164	−	1.06420i	0.272132	−	0.0729176i
$214$	−3.14234	−	8.79550i	−0.214806	−	0.601248i
$215$	−4.24536	−	4.90735i	−0.289531	−	0.334679i
$216$	4.99494	−	8.30654i	0.339862	−	0.565189i
$217$	0.318913	−	0.120946i	0.0216492	−	0.00821033i
$218$	2.20783	+	27.0851i	0.149533	+	1.83443i
$219$	1.43768	−	0.830045i	0.0971494	−	0.0560892i
$220$	17.2470	−	12.1590i	1.16279	−	0.819757i
$221$	−27.9597	−	16.1426i	−1.88078	−	1.08587i
$222$	3.68937	+	5.33606i	0.247614	+	0.358133i
$223$	4.00171	+	4.00171i	0.267974	+	0.267974i	0.828284	−	0.560309i	$-0.189318\pi$
$223$	4.00171	+	4.00171i	0.267974	+	0.267974i	−0.560309	+	0.828284i	$0.689318\pi$
$224$	10.7535	−	10.4098i	0.718495	−	0.695532i
$225$	6.31021	−	2.51450i	0.420680	−	0.167633i
$226$	−4.88624	+	26.7813i	−0.325028	+	1.78147i
$227$	−19.5171	+	5.22959i	−1.29540	+	0.347100i	−0.839708	−	0.543039i	$-0.817274\pi$
$227$	−19.5171	+	5.22959i	−1.29540	+	0.347100i	−0.455689	+	0.890139i	$0.650607\pi$
$228$	11.5188	−	5.20587i	0.762854	−	0.344767i
$229$	8.56971	+	14.8432i	0.566303	+	0.980865i	0.996927	+	0.0783336i	$0.0249599\pi$
$229$	8.56971	+	14.8432i	0.566303	+	0.980865i	−0.430625	+	0.902531i	$0.641707\pi$
$230$	−4.37678	+	1.21571i	−0.288596	+	0.0801614i
$231$	21.1473	−	15.2345i	1.39139	−	1.00236i
$232$	2.11122	+	8.47999i	0.138609	+	0.556739i
$233$	−27.4493	−	7.35502i	−1.79826	−	0.481843i	−0.804558	−	0.593874i	$-0.797598\pi$
$233$	−27.4493	−	7.35502i	−1.79826	−	0.481843i	−0.993705	+	0.112031i	$0.964265\pi$
$234$	−9.42485	+	3.36719i	−0.616122	+	0.220120i
$235$	−8.39635	+	24.1969i	−0.547718	+	1.57843i
$236$	19.8738	−	16.2782i	1.29367	−	1.05962i
$237$	−0.0157244	+	0.0157244i	−0.00102141	+	0.00102141i
$238$	4.19777	+	22.8067i	0.272101	+	1.47834i
$239$	−0.960341			−0.0621193			−0.0310596	−	0.999518i	$-0.509888\pi$
$239$	−0.960341			−0.0621193			−0.0310596	+	0.999518i	$0.509888\pi$
$240$	16.0899	+	9.47625i	1.03860	+	0.611689i
$241$	−2.93216	+	5.07865i	−0.188877	+	0.327145i	−0.944876	−	0.327428i	$-0.893818\pi$
$241$	−2.93216	+	5.07865i	−0.188877	+	0.327145i	0.755999	+	0.654573i	$0.227151\pi$
$242$	14.3983	+	6.81828i	0.925555	+	0.438296i
$243$	12.7158	+	3.40719i	0.815719	+	0.218571i
$244$	−2.05607	−	12.5279i	−0.131626	−	0.802014i
$245$	−15.5221	+	2.01624i	−0.991669	+	0.128813i
$246$	3.09930	+	2.63211i	0.197604	+	0.167817i
$247$	15.2328	+	4.08162i	0.969240	+	0.259707i
$248$	−0.100624	+	0.350467i	−0.00638965	+	0.0222547i
$249$	−10.9317	−	6.31144i	−0.692770	−	0.399971i
$250$	−5.98688	−	14.6341i	−0.378644	−	0.925543i
$251$	22.7221			1.43421			0.717104	−	0.696966i	$-0.245467\pi$
$251$	22.7221			1.43421			0.717104	+	0.696966i	$0.245467\pi$
$252$	6.23124	+	3.58469i	0.392531	+	0.225814i
$253$	−4.79280	−	4.79280i	−0.301321	−	0.301321i
$254$	−3.63172	+	19.9053i	−0.227874	+	1.24897i
$255$	−26.0348	+	12.6211i	−1.63036	+	0.790366i
$256$	2.02781	+	15.8710i	0.126738	+	0.991936i
$257$	−1.21572	+	4.53715i	−0.0758348	+	0.283019i	−0.993421	−	0.114517i	$-0.963468\pi$
$257$	−1.21572	+	4.53715i	−0.0758348	+	0.283019i	0.917586	+	0.397536i	$0.130135\pi$
$258$	8.53947	−	0.696092i	0.531644	−	0.0433368i
$259$	4.71684	−	3.39801i	0.293090	−	0.211142i
$260$	8.03781	+	21.8656i	0.498484	+	1.35605i
$261$	−3.63509	+	2.09872i	−0.225006	+	0.129908i
$262$	13.6061	+	6.44315i	0.840586	+	0.398059i
$263$	−4.62202	+	1.23847i	−0.285006	+	0.0763671i	−0.398490	−	0.917173i	$-0.630466\pi$
$263$	−4.62202	+	1.23847i	−0.285006	+	0.0763671i	0.113484	+	0.993540i	$0.463799\pi$
$264$	−0.495793	+	27.8585i	−0.0305140	+	1.71457i
$265$	1.23447	+	6.43277i	0.0758329	+	0.395162i
$266$	−4.86391	−	10.2300i	−0.298226	−	0.627241i
$267$	−10.4896	−	10.4896i	−0.641952	−	0.641952i
$268$	1.49239	−	15.0056i	0.0911624	−	0.916612i
$269$	−5.61368	+	9.72317i	−0.342272	+	0.592832i	−0.984854	−	0.173384i	$-0.944530\pi$
$269$	−5.61368	+	9.72317i	−0.342272	+	0.592832i	0.642582	+	0.766217i	$0.277863\pi$
$270$	2.70903	−	10.4927i	0.164867	−	0.638564i
$271$	10.6182	−	6.13044i	0.645012	−	0.372398i	−0.141531	−	0.989934i	$-0.545202\pi$
$271$	10.6182	−	6.13044i	0.645012	−	0.372398i	0.786542	+	0.617536i	$0.211869\pi$
$272$	−22.2134	−	11.0072i	−1.34688	−	0.667410i
$273$	10.2030	+	26.9035i	0.617513	+	1.62828i
$274$	10.3086	−	12.1384i	0.622767	−	0.733307i
$275$	14.6139	−	18.5219i	0.881248	−	1.11691i
$276$	2.11810	−	5.61139i	0.127494	−	0.337766i
$277$	4.06005	+	15.1523i	0.243945	+	0.910414i	0.973911	+	0.226930i	$0.0728690\pi$
$277$	4.06005	+	15.1523i	0.243945	+	0.910414i	−0.729966	+	0.683483i	$0.760464\pi$
$278$	7.16783	+	10.3671i	0.429898	+	0.621775i
$279$	−0.175137			−0.0104852
$280$	8.21121	−	14.5800i	0.490713	−	0.871321i
$281$	−17.7945			−1.06153			−0.530764	−	0.847520i	$-0.678095\pi$
$281$	−17.7945			−1.06153			−0.530764	+	0.847520i	$0.678095\pi$
$282$	−19.2326	−	27.8167i	−1.14529	−	1.65646i
$283$	−2.88420	−	10.7640i	−0.171448	−	0.639851i	−0.997129	−	0.0757152i	$-0.975876\pi$
$283$	−2.88420	−	10.7640i	−0.171448	−	0.639851i	0.825682	−	0.564136i	$-0.190791\pi$
$284$	3.68520	+	1.39103i	0.218676	+	0.0825425i
$285$	10.6881	−	9.24634i	0.633110	−	0.547706i
$286$	−22.5016	+	26.4956i	−1.33055	+	1.56672i
$287$	2.30449	−	2.82245i	0.136029	−	0.166604i
$288$	−7.05833	+	3.03990i	−0.415916	+	0.179128i
$289$	18.5433	−	10.7060i	1.09078	−	0.629764i
$290$	4.96224	+	8.41638i	0.291393	+	0.494227i
$291$	12.1471	−	21.0394i	0.712075	−	1.23335i
$292$	1.58253	+	0.157392i	0.0926108	+	0.00921068i
$293$	−4.68908	−	4.68908i	−0.273939	−	0.273939i	0.556745	−	0.830684i	$-0.312050\pi$
$293$	−4.68908	−	4.68908i	−0.273939	−	0.273939i	−0.830684	+	0.556745i	$0.812050\pi$
$294$	9.95720	−	18.1106i	0.580716	−	1.05623i
$295$	16.1178	−	23.7729i	0.938412	−	1.38411i
$296$	−0.110585	+	6.21375i	−0.00642762	+	0.361167i
$297$	15.6190	−	4.18510i	0.906307	−	0.242844i
$298$	8.92282	+	4.22539i	0.516885	+	0.244771i
$299$	6.48027	−	3.74139i	0.374764	−	0.216370i
$300$	20.2611	+	5.03414i	1.16978	+	0.290646i
$301$	−0.771736	−	7.63883i	−0.0444822	−	0.440295i
$302$	−10.8782	+	0.886735i	−0.625972	+	0.0510259i
$303$	3.33318	−	12.4396i	0.191486	−	0.714637i
$304$	11.8723	+	2.38513i	0.680923	+	0.136797i
$305$	−6.19174	−	12.7723i	−0.354538	−	0.731338i
$306$	2.13725	−	11.7142i	0.122179	−	0.669657i
$307$	9.11221	+	9.11221i	0.520061	+	0.520061i	0.917590	−	0.397529i	$-0.130132\pi$
$307$	9.11221	+	9.11221i	0.520061	+	0.520061i	−0.397529	+	0.917590i	$0.630132\pi$
$308$	24.9683	−	0.0388690i	1.42270	−	0.00221477i
$309$	−5.38012			−0.306065
$310$	0.00372344	+	0.407648i	0.000211477	+	0.0231528i
$311$	−13.0961	−	7.56104i	−0.742612	−	0.428747i	0.0804065	−	0.996762i	$-0.474378\pi$
$311$	−13.0961	−	7.56104i	−0.742612	−	0.428747i	−0.823018	+	0.568015i	$0.807712\pi$
$312$	−29.5654	−	8.48868i	−1.67381	−	0.480577i
$313$	8.47953	+	2.27208i	0.479292	+	0.128426i	0.490373	−	0.871513i	$-0.336861\pi$
$313$	8.47953	+	2.27208i	0.479292	+	0.128426i	−0.0110812	+	0.999939i	$0.503527\pi$
$314$	9.12710	+	7.75126i	0.515072	+	0.437429i
$315$	7.81952	+	1.85824i	0.440580	+	0.104700i
$316$	−0.0210221	+	0.00345014i	−0.00118259	+	0.000194086i
$317$	30.7178	+	8.23081i	1.72528	+	0.462288i	0.979088	−	0.203439i	$-0.0652118\pi$
$317$	30.7178	+	8.23081i	1.72528	+	0.462288i	0.746195	+	0.665727i	$0.231878\pi$
$318$	−7.81659	−	3.70154i	−0.438333	−	0.207572i
$319$	−7.28937	+	12.6256i	−0.408127	+	0.706896i
$320$	7.22570	+	16.3643i	0.403929	+	0.914790i
$321$	13.7880			0.769572
$322$	−5.06423	−	1.80040i	−0.282218	−	0.100332i
$323$	−13.2674	+	13.2674i	−0.738217	+	0.738217i
$324$	14.2319	+	17.3754i	0.790660	+	0.965300i
$325$	15.5753	+	20.8758i	0.863961	+	1.15798i
$326$	7.37849	−	2.63609i	0.408657	−	0.146000i
$327$	−38.7497	−	10.3830i	−2.14286	−	0.574179i
$328$	0.941074	+	3.77994i	0.0519621	+	0.208712i
$329$	−24.5888	+	17.7137i	−1.35562	+	0.976589i
$330$	8.33715	+	30.0154i	0.458945	+	1.65229i
$331$	−4.67452	−	8.09651i	−0.256935	−	0.445024i	0.708484	−	0.705726i	$-0.249379\pi$
$331$	−4.67452	−	8.09651i	−0.256935	−	0.445024i	−0.965419	+	0.260702i	$0.916046\pi$
$332$	−4.98015	−	11.0194i	−0.273321	−	0.604769i
$333$	−2.88335	+	0.772590i	−0.158006	+	0.0423377i
$334$	3.23939	−	17.7550i	0.177252	−	0.971511i
$335$	−3.17742	−	16.5574i	−0.173601	−	0.904628i
$336$	9.13058	+	20.1194i	0.498114	+	1.09760i
$337$	−11.0658	−	11.0658i	−0.602794	−	0.602794i	0.338259	−	0.941053i	$-0.390162\pi$
$337$	−11.0658	−	11.0658i	−0.602794	−	0.602794i	−0.941053	+	0.338259i	$0.890162\pi$
$338$	−11.3688	−	16.4431i	−0.618383	−	0.894387i
$339$	−34.8040	−	20.0941i	−1.89029	−	1.09136i
$340$	−27.3113	−	4.72560i	−1.48116	−	0.256282i
$341$	−0.526799	+	0.304147i	−0.0285277	+	0.0164705i
$342$	0.472557	+	5.79721i	0.0255530	+	0.313477i
$343$	−16.3987	−	8.60707i	−0.885448	−	0.464738i
$344$	7.03403	+	4.22974i	0.379250	+	0.228052i
$345$	0.483744	−	6.68831i	0.0260439	−	0.360086i
$346$	−8.23159	−	23.0404i	−0.442533	−	1.23866i
$347$	24.4191	−	6.54308i	1.31089	−	0.351251i	0.465330	−	0.885137i	$-0.345935\pi$
$347$	24.4191	−	6.54308i	1.31089	−	0.351251i	0.845557	+	0.533886i	$0.179269\pi$
$348$	−12.8373	−	1.27674i	−0.688150	−	0.0684405i
$349$	−5.51392			−0.295153			−0.147577	−	0.989051i	$-0.547147\pi$
$349$	−5.51392			−0.295153			−0.147577	+	0.989051i	$0.547147\pi$
$350$	4.15899	−	18.2401i	0.222307	−	0.974977i
$351$			17.8512i			0.952828i
$352$	−15.9517	+	21.4014i	−0.850230	+	1.14070i
$353$	−3.06019	−	11.4208i	−0.162878	−	0.607868i	−0.998301	−	0.0582613i	$-0.981444\pi$
$353$	−3.06019	−	11.4208i	−0.162878	−	0.607868i	0.835424	−	0.549606i	$-0.185222\pi$
$354$	12.7591	+	35.7129i	0.678136	+	1.89812i
$355$	4.39245	+	0.317692i	0.233127	+	0.0168614i
$356$	−2.30156	−	14.0236i	−0.121982	−	0.743251i
$357$	−33.7903	−	5.49165i	−1.78837	−	0.290649i
$358$	−27.1155	+	2.21031i	−1.43310	+	0.116818i
$359$	−1.76552	−	3.05796i	−0.0931804	−	0.161393i	0.815667	−	0.578521i	$-0.196370\pi$
$359$	−1.76552	−	3.05796i	−0.0931804	−	0.161393i	−0.908848	+	0.417128i	$0.863037\pi$
$360$	−6.59707	+	5.50499i	−0.347696	+	0.290138i
$361$	−4.91749	+	8.51734i	−0.258815	+	0.448281i
$362$	5.82837	+	8.42976i	0.306332	+	0.443058i
$363$	−16.6298	+	16.6298i	−0.872836	+	0.872836i
$364$	−7.09273	+	26.6362i	−0.371760	+	1.39612i
$365$	1.74619	−	0.335100i	0.0913999	−	0.0175400i
$366$	18.4371	+	3.36385i	0.963725	+	0.175831i
$367$	−7.62809	−	28.4684i	−0.398183	−	1.48604i	−0.816290	−	0.577642i	$-0.803973\pi$
$367$	−7.62809	−	28.4684i	−0.398183	−	1.48604i	0.418107	−	0.908398i	$-0.362694\pi$
$368$	4.78358	−	3.18309i	0.249361	−	0.165930i
$369$	−1.62034	+	0.935501i	−0.0843513	+	0.0487003i
$370$	1.85957	+	6.69482i	0.0966746	+	0.348047i
$371$	−3.18084	+	7.06743i	−0.165141	+	0.366923i
$372$	−0.437235	−	0.313951i	−0.0226696	−	0.0162776i
$373$	−8.77201	+	32.7376i	−0.454197	+	1.69509i	0.236240	+	0.971695i	$0.424085\pi$
$373$	−8.77201	+	32.7376i	−0.454197	+	1.69509i	−0.690437	+	0.723392i	$0.742582\pi$
$374$	−13.9145	−	38.9470i	−0.719501	−	2.01390i
$375$	23.3175	−	1.05458i	1.20411	−	0.0544582i
$376$	0.576477	−	32.3921i	0.0297295	−	1.67050i
$377$	−11.3806	−	11.3806i	−0.586128	−	0.586128i
$378$	9.76039	−	8.31528i	0.502020	−	0.427692i
$379$		−	0.336224i		−	0.0172706i	−0.999963	−	0.00863532i	$-0.997251\pi$
$379$		−	0.336224i		−	0.0172706i	0.999963	−	0.00863532i	$-0.00274874\pi$
$380$	13.4835	−	1.22317i	0.691688	−	0.0627473i
$381$	−25.8682	−	14.9350i	−1.32527	−	0.765145i
$382$	−1.48041	+	3.12621i	−0.0757445	+	0.159951i
$383$	−1.04368	+	3.89508i	−0.0533297	+	0.199029i	−0.987451	−	0.157927i	$-0.949519\pi$
$383$	−1.04368	+	3.89508i	−0.0533297	+	0.199029i	0.934121	+	0.356956i	$0.116186\pi$
$384$	−23.0706	−	5.06355i	−1.17732	−	0.258398i
$385$	26.7476	−	7.99011i	1.36318	−	0.407214i
$386$	−10.9992	−	9.34117i	−0.559845	−	0.475453i
$387$	−1.02036	+	3.80804i	−0.0518679	+	0.193574i
$388$	21.2081	−	9.58488i	1.07668	−	0.486599i
$389$	−11.3703	+	19.6940i	−0.576498	+	0.998525i	0.419379	+	0.907811i	$0.362248\pi$
$389$	−11.3703	+	19.6940i	−0.576498	+	0.998525i	−0.995877	+	0.0907131i	$0.971085\pi$
$390$	−34.3892	+	0.314110i	−1.74136	+	0.0159056i
$391$			8.90280i			0.450234i
$392$	17.8676	−	8.52938i	0.902448	−	0.430799i
$393$	−15.7148	+	15.7148i	−0.792706	+	0.792706i
$394$	3.65465	−	20.0310i	0.184119	−	1.00915i
$395$	−0.0214322	+	0.0103899i	−0.00107837	+	0.000522773i
$396$	−11.9948	−	4.52760i	−0.602760	−	0.227520i
$397$	12.9252	+	3.46328i	0.648695	+	0.173817i	0.568139	−	0.822933i	$-0.307664\pi$
$397$	12.9252	+	3.46328i	0.648695	+	0.173817i	0.0805561	+	0.996750i	$0.474330\pi$
$398$	−1.83232	−	22.4784i	−0.0918459	−	1.12674i
$399$	16.6373	−	1.68083i	0.832904	−	0.0841468i
$400$	12.9536	+	15.2382i	0.647680	+	0.761912i
$401$	14.9243	+	25.8496i	0.745283	+	1.29087i	0.950063	+	0.312059i	$0.101019\pi$
$401$	14.9243	+	25.8496i	0.745283	+	1.29087i	−0.204780	+	0.978808i	$0.565648\pi$
$402$	20.1192	+	9.52745i	1.00346	+	0.475186i
$403$	−0.173807	−	0.648658i	−0.00865796	−	0.0323120i
$404$	9.54437	−	7.81762i	0.474850	−	0.388941i
$405$	20.7844	+	14.0916i	1.03278	+	0.700216i
$406$	−0.921289	+	11.5236i	−0.0457228	+	0.571909i
$407$	−7.33117	+	7.33117i	−0.363393	+	0.363393i
$408$	26.3346	−	25.4136i	1.30376	−	1.25816i
$409$	4.12124	+	2.37940i	0.203782	+	0.117654i	0.598418	−	0.801184i	$-0.295796\pi$
$409$	4.12124	+	2.37940i	0.203782	+	0.117654i	−0.394636	+	0.918837i	$0.629129\pi$
$410$	2.21191	+	3.75159i	0.109239	+	0.185278i
$411$	11.7546	+	20.3596i	0.579812	+	1.00426i
$412$	−4.18661	−	3.00614i	−0.206259	−	0.148102i
$413$	31.7756	−	12.0507i	1.56357	−	0.592976i
$414$	2.10360	+	1.78650i	0.103386	+	0.0878017i
$415$	−8.84544	−	10.2247i	−0.434206	−	0.501912i
$416$	−18.2637	−	23.1252i	−0.895450	−	1.13381i
$417$	−17.9721	+	4.81561i	−0.880097	+	0.235821i
$418$	11.4890	+	16.6169i	0.561945	+	0.812758i
$419$			1.48126i			0.0723644i	0.999345	+	0.0361822i	$0.0115197\pi$
$419$			1.48126i			0.0723644i	−0.999345	+	0.0361822i	$0.988480\pi$
$420$	16.1906	+	18.6564i	0.790019	+	0.910340i
$421$			16.6901i			0.813426i	0.913556	+	0.406713i	$0.133325\pi$
$421$			16.6901i			0.813426i	−0.913556	+	0.406713i	$0.866675\pi$
$422$	−11.0911	+	7.66841i	−0.539905	+	0.373292i
$423$	15.0308	−	4.02750i	0.730823	−	0.195824i
$424$	−4.01435	−	7.24791i	−0.194954	−	0.351990i
$425$	−30.7754	+	3.62964i	−1.49283	+	0.176063i
$426$	−3.76409	+	4.43221i	−0.182371	+	0.214741i
$427$	2.69412	−	16.5770i	0.130378	−	0.802218i
$428$	10.7293	+	7.70403i	0.518621	+	0.372389i
$429$	−25.6579	−	44.4408i	−1.23878	−	2.14562i
$430$	8.88526	+	2.29403i	0.428485	+	0.110628i
$431$	9.77165	+	5.64167i	0.470684	+	0.271750i	0.716526	−	0.697560i	$-0.245731\pi$
$431$	9.77165	+	5.64167i	0.470684	+	0.271750i	−0.245842	+	0.969310i	$0.579064\pi$
$432$	0.870388	+	13.6799i	0.0418766	+	0.658172i
$433$	21.0924	−	21.0924i	1.01363	−	1.01363i	0.0137288	−	0.999906i	$-0.495630\pi$
$433$	21.0924	−	21.0924i	1.01363	−	1.01363i	0.999906	−	0.0137288i	$-0.00437013\pi$
$434$	−0.273701	+	0.397183i	−0.0131381	+	0.0190654i
$435$	−14.1649	+	2.71828i	−0.679153	+	0.130332i
$436$	−24.3521	−	29.7310i	−1.16625	−	1.42386i
$437$	−1.12553	−	4.20053i	−0.0538413	−	0.200938i
$438$	−1.00479	+	2.12184i	−0.0480109	+	0.101385i
$439$	−1.85384	−	3.21094i	−0.0884788	−	0.153250i	0.818389	−	0.574664i	$-0.194867\pi$
$439$	−1.85384	−	3.21094i	−0.0884788	−	0.153250i	−0.906868	+	0.421414i	$0.861534\pi$
$440$	−10.2834	+	28.0152i	−0.490241	+	1.33557i
$441$	6.30611	+	7.11829i	0.300291	+	0.338966i
$442$	45.5071	−	3.70950i	2.16455	−	0.176443i
$443$	8.87345	+	2.37763i	0.421591	+	0.112965i	0.463376	−	0.886162i	$-0.346638\pi$
$443$	8.87345	+	2.37763i	0.421591	+	0.112965i	−0.0417855	+	0.999127i	$0.513305\pi$
$444$	−8.58330	−	3.23989i	−0.407345	−	0.153758i
$445$	−6.93101	−	14.2972i	−0.328561	−	0.677753i
$446$	−7.87345	−	1.43651i	−0.372818	−	0.0680206i
$447$	−10.3057	+	10.3057i	−0.487443	+	0.487443i
$448$	−4.13662	+	20.7579i	−0.195437	+	0.980716i
$449$			19.7729i			0.933141i	0.884484	+	0.466571i	$0.154511\pi$
$449$			19.7729i			0.933141i	−0.884484	+	0.466571i	$0.845489\pi$
$450$	−5.31798	+	8.00012i	−0.250692	+	0.377129i
$451$	−3.24923	+	5.62783i	−0.153000	+	0.265004i
$452$	−15.8556	−	35.0832i	−0.745785	−	1.65017i
$453$	4.17012	−	15.5631i	0.195929	−	0.731219i
$454$	18.4972	−	21.7804i	0.868116	−	1.02221i
$455$	0.877741	+	30.8054i	0.0411492	+	1.44418i
$456$	−9.21232	+	15.3200i	−0.431406	+	0.717425i
$457$	−1.84158	+	6.87286i	−0.0861454	+	0.321499i	−0.995529	−	0.0944603i	$-0.969887\pi$
$457$	−1.84158	+	6.87286i	−0.0861454	+	0.321499i	0.909383	+	0.415959i	$0.136554\pi$
$458$	−21.9067	−	10.3739i	−1.02363	−	0.484740i
$459$	−18.3934	−	10.6195i	−0.858532	−	0.495674i
$460$	4.11352	−	4.93430i	0.191794	−	0.230063i
$461$		−	11.7518i		−	0.547338i	−0.961824	−	0.273669i	$-0.911763\pi$
$461$		−	11.7518i		−	0.547338i	0.961824	−	0.273669i	$-0.0882373\pi$
$462$	−12.3469	+	34.7298i	−0.574428	+	1.61577i
$463$	26.3580	+	26.3580i	1.22496	+	1.22496i	0.965846	+	0.259116i	$0.0834311\pi$
$463$	26.3580	+	26.3580i	1.22496	+	1.22496i	0.259116	+	0.965846i	$0.416569\pi$
$464$	−9.27611	−	8.16632i	−0.430632	−	0.379112i
$465$	−0.568552	−	0.197288i	−0.0263660	−	0.00914902i
$466$	37.8458	−	13.5210i	1.75317	−	0.626350i
$467$	2.56828	−	9.58494i	0.118846	−	0.443538i	−0.880700	−	0.473674i	$-0.842927\pi$
$467$	2.56828	−	9.58494i	0.118846	−	0.443538i	0.999546	+	0.0301362i	$0.00959410\pi$
$468$	8.25528	−	11.4970i	0.381601	−	0.531450i
$469$	8.18721	−	18.1910i	0.378050	−	0.839980i
$470$	−9.69392	−	34.9000i	−0.447147	−	1.60981i
$471$	−15.3088	+	8.83851i	−0.705390	+	0.407257i
$472$	−10.0259	+	34.9195i	−0.461481	+	1.60730i
$473$	3.54397	+	13.2263i	0.162952	+	0.608145i
$474$	0.00564463	−	0.0309381i	0.000259267	−	0.00142103i
$475$	14.0616	−	5.60329i	0.645191	−	0.257096i
$476$	−23.2259	−	23.1537i	−1.06456	−	1.06125i
$477$	2.81402	−	2.81402i	0.128845	−	0.128845i
$478$	1.11711	−	0.772377i	0.0510956	−	0.0353277i
$479$	−0.691887	+	1.19838i	−0.0316131	+	0.0547556i	−0.881399	−	0.472372i	$-0.843398\pi$
$479$	−0.691887	+	1.19838i	−0.0316131	+	0.0547556i	0.849786	+	0.527128i	$0.176731\pi$
$480$	−26.3380	+	1.91745i	−1.20216	+	0.0875194i
$481$	−5.72291	−	9.91236i	−0.260942	−	0.451965i
$482$	−0.673799	−	8.26599i	−0.0306907	−	0.376506i
$483$	5.01810	−	6.14599i	0.228331	−	0.279652i
$484$	−22.2325	+	3.64879i	−1.01057	+	0.165854i
$485$	19.6787	−	17.0241i	0.893562	−	0.773023i
$486$	−17.5319	+	6.26359i	−0.795265	+	0.284122i
$487$	7.80606	+	29.1326i	0.353726	+	1.32012i	0.882080	+	0.471100i	$0.156143\pi$
$487$	7.80606	+	29.1326i	0.353726	+	1.32012i	−0.528354	+	0.849024i	$0.677191\pi$
$488$	12.4675	+	12.9193i	0.564379	+	0.584831i
$489$			11.5667i			0.523064i
$490$	16.4344	−	14.8294i	0.742430	−	0.669923i
$491$	−18.0078			−0.812682			−0.406341	−	0.913722i	$-0.633195\pi$
$491$	−18.0078			−0.812682			−0.406341	+	0.913722i	$0.633195\pi$
$492$	−5.72219	−	0.569105i	−0.257976	−	0.0256572i
$493$	18.4964	−	4.95609i	0.833034	−	0.223211i
$494$	−21.0022	+	7.50341i	−0.944935	+	0.337594i
$495$	−14.2968	−	1.03404i	−0.642593	−	0.0464767i
$496$	−0.164820	−	0.488609i	−0.00740065	−	0.0219392i
$497$	4.03629	+	3.29557i	0.181052	+	0.147826i
$498$	17.7924	−	1.45034i	0.797298	−	0.0649915i
$499$	−31.9266	+	18.4328i	−1.42923	+	0.825166i	−0.997060	−	0.0766262i	$-0.975585\pi$
$499$	−31.9266	+	18.4328i	−1.42923	+	0.825166i	−0.432170	+	0.901792i	$0.642252\pi$
$500$	18.7341	+	12.2080i	0.837812	+	0.545958i
$501$	23.0737	+	13.3216i	1.03086	+	0.595167i
$502$	−26.4315	+	18.2748i	−1.17969	+	0.815645i
$503$	−11.0315	−	11.0315i	−0.491869	−	0.491869i	0.417026	−	0.908895i	$-0.363072\pi$
$503$	−11.0315	−	11.0315i	−0.491869	−	0.491869i	−0.908895	+	0.417026i	$0.863072\pi$
$504$	−10.1315	+	0.841748i	−0.451295	+	0.0374944i
$505$	7.74056	−	11.4169i	0.344450	−	0.508047i
$506$	9.42993	+	1.72049i	0.419212	+	0.0764850i
$507$	28.5054	−	7.63799i	1.26597	−	0.339215i
$508$	−11.7848	−	26.0757i	−0.522864	−	1.15692i
$509$	13.7230	+	23.7690i	0.608263	+	1.05354i	0.991527	+	0.129903i	$0.0414667\pi$
$509$	13.7230	+	23.7690i	0.608263	+	1.05354i	−0.383264	+	0.923639i	$0.625200\pi$
$510$	20.1340	−	35.6206i	0.891549	−	1.57731i
$511$	1.91847	+	0.863447i	0.0848682	+	0.0381967i
$512$	−15.1235	−	16.8310i	−0.668369	−	0.743830i
$513$	10.0210	+	2.68511i	0.442436	+	0.118550i
$514$	−2.23492	−	6.25560i	−0.0985781	−	0.275923i
$515$	−5.44400	−	1.88907i	−0.239891	−	0.0832424i
$516$	−9.37366	+	7.67780i	−0.412652	+	0.337996i
$517$	38.2173	−	38.2173i	1.68079	−	1.68079i
$518$	−2.75393	+	7.74635i	−0.121001	+	0.340355i
$519$	36.1187			1.58543
$520$	−26.9359	−	18.9705i	−1.18122	−	0.831911i
$521$	−5.65625	+	9.79692i	−0.247805	+	0.429211i	−0.962917	−	0.269800i	$-0.913043\pi$
$521$	−5.65625	+	9.79692i	−0.247805	+	0.429211i	0.715111	+	0.699010i	$0.246376\pi$
$522$	2.54056	−	5.36494i	0.111197	−	0.234817i
$523$	−36.0234	−	9.65245i	−1.57520	−	0.422072i	−0.637761	−	0.770234i	$-0.720139\pi$
$523$	−36.0234	−	9.65245i	−1.57520	−	0.422072i	−0.937434	+	0.348162i	$0.886806\pi$
$524$	−21.0093	+	3.44804i	−0.917795	+	0.150628i
$525$	23.2914	+	14.8410i	1.01652	+	0.647714i
$526$	4.38048	−	5.15801i	0.190998	−	0.224900i
$527$	0.771756	+	0.206791i	0.0336182	+	0.00900798i
$528$	−21.8292	−	32.8051i	−0.949992	−	1.42766i
$529$	18.1316	+	10.4683i	0.788331	+	0.455143i
$530$	−6.60970	−	6.49005i	−0.287107	−	0.281910i
$531$	−17.4502			−0.757273
$532$	13.8856	+	7.98808i	0.602019	+	0.346327i
$533$	−5.07286	−	5.07286i	−0.219730	−	0.219730i
$534$	20.6385	+	3.76548i	0.893114	+	0.162948i
$535$	13.9517	+	4.84125i	0.603185	+	0.209306i
$536$	10.3326	+	18.6555i	0.446300	+	0.805795i
$537$	10.3946	−	38.7932i	0.448560	−	1.67405i
$538$	−1.29000	−	15.8254i	−0.0556159	−	0.682281i
$539$	31.3301	+	10.4599i	1.34948	+	0.450540i
$540$	5.28771	+	14.3844i	0.227547	+	0.619005i
$541$	−13.8909	+	8.01989i	−0.597215	+	0.344802i	−0.767945	−	0.640516i	$-0.778721\pi$
$541$	−13.8909	+	8.01989i	−0.597215	+	0.344802i	0.170730	+	0.985318i	$0.445387\pi$
$542$	−7.42107	+	15.6712i	−0.318762	+	0.673135i
$543$	−14.6136	+	3.91571i	−0.627131	+	0.168039i
$544$	34.6924	−	5.06152i	1.48743	−	0.217011i
$545$	−35.5641	−	24.1120i	−1.52340	−	1.03285i
$546$	−33.5064	−	23.0895i	−1.43394	−	0.988137i
$547$	9.55550	+	9.55550i	0.408564	+	0.408564i	0.881238	−	0.472674i	$-0.156711\pi$
$547$	9.55550	+	9.55550i	0.408564	+	0.408564i	−0.472674	+	0.881238i	$0.656711\pi$
$548$	−2.22889	+	22.4109i	−0.0952136	+	0.957347i
$549$	−4.31185	+	7.46835i	−0.184025	+	0.318741i
$550$	−2.10287	+	33.2990i	−0.0896668	+	1.41988i
$551$	−8.10040	+	4.67677i	−0.345089	+	0.199237i
$552$	2.04922	+	8.23096i	0.0872207	+	0.350333i
$553$	−0.0278167	−	0.00452081i	−0.00118289	−	0.000192245i
$554$	−16.9094	−	14.3605i	−0.718413	−	0.610118i
$555$	−10.2306	−	0.739946i	−0.434264	−	0.0314090i
$556$	−16.6759	−	6.29456i	−0.707217	−	0.266949i
$557$	−3.74820	−	13.9885i	−0.158816	−	0.592710i	−0.998748	−	0.0500187i	$-0.984072\pi$
$557$	−3.74820	−	13.9885i	−0.158816	−	0.592710i	0.839932	−	0.542692i	$-0.182595\pi$
$558$	0.203728	−	0.140858i	0.00862449	−	0.00596300i
$559$	−15.1165			−0.639361
$560$	2.17464	+	23.5642i	0.0918954	+	0.995769i
$561$	61.0542			2.57771
$562$	20.6994	−	14.3116i	0.873149	−	0.603699i
$563$	6.72308	+	25.0909i	0.283344	+	1.05745i	0.950041	+	0.312125i	$0.101041\pi$
$563$	6.72308	+	25.0909i	0.283344	+	1.05745i	−0.666697	+	0.745329i	$0.732293\pi$
$564$	44.7446	+	16.8895i	1.88409	+	0.711175i
$565$	−28.1618	−	32.5531i	−1.18477	−	1.36952i
$566$	12.0122	+	10.2015i	0.504911	+	0.428800i
$567$	10.5358	+	27.7810i	0.442461	+	1.16669i
$568$	−5.40557	+	1.34580i	−0.226813	+	0.0564684i
$569$	22.1009	−	12.7599i	0.926516	−	0.534925i	0.0408083	−	0.999167i	$-0.487007\pi$
$569$	22.1009	−	12.7599i	0.926516	−	0.534925i	0.885708	+	0.464242i	$0.153673\pi$
$570$	−4.99635	+	19.3520i	−0.209274	+	0.810564i
$571$	10.9626	−	18.9878i	0.458770	−	0.794613i	−0.540126	−	0.841584i	$-0.681623\pi$
$571$	10.9626	−	18.9878i	0.458770	−	0.794613i	0.998896	+	0.0469709i	$0.0149568\pi$
$572$	4.86522	−	48.9185i	0.203425	−	2.04538i
$573$	−3.61072	−	3.61072i	−0.150840	−	0.150840i
$574$	−0.410663	+	5.13664i	−0.0171408	+	0.214399i
$575$	2.83789	−	6.59786i	0.118348	−	0.275150i
$576$	5.76567	−	9.21298i	0.240236	−	0.383874i
$577$	18.6424	−	4.99523i	0.776095	−	0.207954i	0.151033	−	0.988529i	$-0.451740\pi$
$577$	18.6424	−	4.99523i	0.776095	−	0.207954i	0.625062	+	0.780575i	$0.285073\pi$
$578$	−12.9599	+	27.3676i	−0.539061	+	1.13834i
$579$	18.4488	−	10.6514i	0.766707	−	0.442659i
$580$	−12.5414	−	5.79933i	−0.520753	−	0.240804i
$581$	−1.60795	−	15.9159i	−0.0667092	−	0.660303i
$582$	2.79135	+	34.2436i	0.115705	+	1.41944i
$583$	3.57745	−	13.3512i	0.148163	−	0.552951i
$584$	−1.96746	+	1.08970i	−0.0814143	+	0.0450923i
$585$	5.18766	−	14.9500i	0.214483	−	0.618106i
$586$	9.22586	+	1.68325i	0.381117	+	0.0695346i
$587$	−31.2202	−	31.2202i	−1.28859	−	1.28859i	−0.935641	−	0.352954i	$-0.885177\pi$
$587$	−31.2202	−	31.2202i	−1.28859	−	1.28859i	−0.352954	−	0.935641i	$-0.614823\pi$
$588$	2.98316	+	29.0754i	0.123023	+	1.19905i
$589$	−0.390274			−0.0160810
$590$	0.370993	+	40.6169i	0.0152735	+	1.67217i
$591$	26.0316	+	15.0293i	1.07080	+	0.618224i
$592$	−4.86892	−	7.31707i	−0.200111	−	0.300730i
$593$	16.1176	+	4.31871i	0.661872	+	0.177348i	0.574091	−	0.818792i	$-0.305356\pi$
$593$	16.1176	+	4.31871i	0.661872	+	0.177348i	0.0877812	+	0.996140i	$0.472022\pi$
$594$	−14.8028	+	17.4303i	−0.607366	+	0.715173i
$595$	−32.2632	−	17.4213i	−1.32266	−	0.714205i
$596$	−13.7778	+	2.26121i	−0.564361	+	0.0926229i
$597$	32.1591	+	8.61700i	1.31618	+	0.352670i
$598$	−4.52906	+	9.56407i	−0.185207	+	0.391104i
$599$	10.1866	−	17.6436i	0.416212	−	0.720899i	−0.579343	−	0.815084i	$-0.696691\pi$
$599$	10.1866	−	17.6436i	0.416212	−	0.720899i	0.995555	+	0.0941842i	$0.0300243\pi$
$600$	−27.6175	+	10.4395i	−1.12748	+	0.426192i
$601$	−11.5508			−0.471166			−0.235583	−	0.971854i	$-0.575700\pi$
$601$	−11.5508			−0.471166			−0.235583	+	0.971854i	$0.575700\pi$
$602$	7.04143	+	8.26516i	0.286987	+	0.336863i
$603$	−7.24304	+	7.24304i	−0.294959	+	0.294959i
$604$	11.9409	−	9.78057i	0.485868	−	0.397966i
$605$	−22.6662	+	10.9881i	−0.921513	+	0.446731i
$606$	6.12754	+	17.1511i	0.248914	+	0.696717i
$607$	35.8359	+	9.60220i	1.45453	+	0.389741i	0.897598	−	0.440814i	$-0.145310\pi$
$607$	35.8359	+	9.60220i	1.45453	+	0.389741i	0.556936	+	0.830556i	$0.311977\pi$
$608$	−15.7287	+	6.77408i	−0.637884	+	0.274725i
$609$	−15.5624	−	7.00415i	−0.630618	−	0.283823i
$610$	17.4749	+	9.87744i	0.707539	+	0.399926i
$611$	29.8334	+	51.6729i	1.20693	+	2.09046i
$612$	6.93528	+	15.3455i	0.280342	+	0.620303i
$613$	−18.1185	+	4.85483i	−0.731798	+	0.196085i	−0.605430	−	0.795899i	$-0.706999\pi$
$613$	−18.1185	+	4.85483i	−0.731798	+	0.196085i	−0.126368	+	0.991983i	$0.540332\pi$
$614$	−17.9285	−	3.27104i	−0.723534	−	0.132008i
$615$	−6.31396	+	1.21167i	−0.254603	+	0.0488592i
$616$	−29.0131	+	20.1266i	−1.16897	+	0.810923i
$617$	24.5397	+	24.5397i	0.987932	+	0.987932i	0.999928	−	0.0119960i	$-0.00381855\pi$
$617$	24.5397	+	24.5397i	0.987932	+	0.987932i	−0.0119960	+	0.999928i	$0.503819\pi$
$618$	6.25841	−	4.32709i	0.251750	−	0.174061i
$619$	−13.2073	−	7.62523i	−0.530845	−	0.306484i	0.210515	−	0.977591i	$-0.432486\pi$
$619$	−13.2073	−	7.62523i	−0.530845	−	0.306484i	−0.741361	+	0.671107i	$0.765819\pi$
$620$	−0.332191	−	0.471200i	−0.0133411	−	0.0189239i
$621$	4.26307	−	2.46129i	0.171071	−	0.0987680i
$622$	21.3151	−	1.73750i	0.854659	−	0.0696672i
$623$	3.01579	−	18.5562i	0.120825	−	0.743440i
$624$	41.2191	−	13.9043i	1.65009	−	0.556616i
$625$	23.9646	+	7.12016i	0.958585	+	0.284806i
$626$	−11.6912	+	4.17687i	−0.467273	+	0.166941i
$627$	−28.8066	+	7.71871i	−1.15043	+	0.308256i
$628$	−16.8512	−	1.67595i	−0.672436	−	0.0668776i
$629$	13.6179			0.542982
$630$	−10.5906	+	4.12744i	−0.421938	+	0.164441i
$631$		−	5.77307i		−	0.229822i	−0.993376	−	0.114911i	$-0.963342\pi$
$631$		−	5.77307i		−	0.229822i	0.993376	−	0.114911i	$-0.0366583\pi$
$632$	0.0216790	−	0.0209209i	0.000862346	−	0.000832189i
$633$	−5.15191	−	19.2272i	−0.204770	−	0.764213i
$634$	−42.3522	+	15.1311i	−1.68202	+	0.600931i
$635$	−20.9314	−	24.1952i	−0.830636	−	0.960158i
$636$	12.0697	−	1.98087i	0.478594	−	0.0785467i
$637$	−20.1059	+	30.4203i	−0.796624	+	1.20530i
$638$	−1.67507	−	20.5493i	−0.0663166	−	0.813555i
$639$	−1.33783	−	2.31719i	−0.0529237	−	0.0916665i
$640$	−21.5666	−	13.2242i	−0.852496	−	0.522734i
$641$	−2.16994	+	3.75844i	−0.0857073	+	0.148449i	−0.905692	−	0.423935i	$-0.860648\pi$
$641$	−2.16994	+	3.75844i	−0.0857073	+	0.148449i	0.819985	+	0.572385i	$0.193982\pi$
$642$	−16.0389	+	11.0893i	−0.633004	+	0.437661i
$643$	−14.7272	+	14.7272i	−0.580786	+	0.580786i	−0.935119	−	0.354334i	$-0.884708\pi$
$643$	−14.7272	+	14.7272i	−0.580786	+	0.580786i	0.354334	+	0.935119i	$0.384708\pi$
$644$	7.33896	−	1.97872i	0.289195	−	0.0779724i
$645$	−7.60211	+	11.2127i	−0.299333	+	0.441501i
$646$	4.76263	−	26.1038i	0.187383	−	1.02704i
$647$	−7.03239	−	26.2452i	−0.276472	−	1.03181i	−0.954849	−	0.297092i	$-0.903983\pi$
$647$	−7.03239	−	26.2452i	−0.276472	−	1.03181i	0.678377	−	0.734714i	$-0.262684\pi$
$648$	−30.5298	−	8.76556i	−1.19932	−	0.344344i
$649$	−52.4887	+	30.3044i	−2.06036	+	1.18955i
$650$	−34.9078	−	11.7569i	−1.36919	−	0.461144i
$651$	−0.416218	−	0.577760i	−0.0163129	−	0.0226442i
$652$	−6.46287	+	9.00076i	−0.253106	+	0.352497i
$653$	−6.53841	+	24.4017i	−0.255868	+	0.954911i	0.711738	+	0.702445i	$0.247908\pi$
$653$	−6.53841	+	24.4017i	−0.255868	+	0.954911i	−0.967606	+	0.252466i	$0.918758\pi$
$654$	53.4262	−	19.0874i	2.08913	−	0.746378i
$655$	−21.4191	+	10.3836i	−0.836915	+	0.405720i
$656$	−4.13481	−	3.64012i	−0.161437	−	0.142123i
$657$	−0.763873	−	0.763873i	−0.0298015	−	0.0298015i
$658$	14.3562	−	40.3816i	0.559661	−	1.57424i
$659$			6.74876i			0.262894i	0.991323	+	0.131447i	$0.0419624\pi$
$659$			6.74876i			0.262894i	−0.991323	+	0.131447i	$0.958038\pi$
$660$	−33.8387	−	28.2099i	−1.31717	−	1.09807i
$661$	36.8300	+	21.2638i	1.43252	+	0.827067i	0.997313	−	0.0732628i	$-0.0233412\pi$
$661$	36.8300	+	21.2638i	1.43252	+	0.827067i	0.435209	+	0.900330i	$0.356675\pi$
$662$	11.9494	+	5.65864i	0.464428	+	0.219929i
$663$	−17.4449	+	65.1054i	−0.677506	+	2.52849i
$664$	14.6558	+	8.81289i	0.568754	+	0.342007i
$665$	17.4249	+	4.14089i	0.675710	+	0.160577i
$666$	2.73267	−	3.21771i	0.105889	−	0.124684i
$667$	−1.14868	+	4.28693i	−0.0444770	+	0.165991i
$668$	10.5117	+	23.2588i	0.406709	+	0.899911i
$669$	5.90747	−	10.2320i	0.228396	−	0.395593i
$670$	17.0128	+	16.7048i	0.657262	+	0.645364i
$671$			29.9522i			1.15629i
$672$	−26.8026	−	16.0603i	−1.03393	−	0.619541i
$673$	−21.0916	+	21.0916i	−0.813021	+	0.813021i	−0.985086	−	0.172065i	$-0.944956\pi$
$673$	−21.0916	+	21.0916i	−0.813021	+	0.813021i	0.172065	+	0.985086i	$0.444956\pi$
$674$	21.7723	+	3.97234i	0.838636	+	0.153009i
$675$	10.2463	+	13.7332i	0.394379	+	0.528592i
$676$	26.4495	+	9.98375i	1.01729	+	0.383990i
$677$	−24.8379	−	6.65529i	−0.954597	−	0.255784i	−0.252285	−	0.967653i	$-0.581182\pi$
$677$	−24.8379	−	6.65529i	−0.954597	−	0.255784i	−0.702312	+	0.711869i	$0.747849\pi$
$678$	56.6468	−	4.61755i	2.17551	−	0.177336i
$679$	30.6320	−	3.09469i	1.17555	−	0.118763i
$680$	35.5705	−	16.4687i	1.36407	−	0.631547i
$681$	21.0918	+	36.5320i	0.808238	+	1.39991i
$682$	0.368179	−	0.777489i	0.0140983	−	0.0297716i
$683$	−8.87070	−	33.1059i	−0.339428	−	1.26676i	−0.898988	−	0.437973i	$-0.855697\pi$
$683$	−8.87070	−	33.1059i	−0.339428	−	1.26676i	0.559560	−	0.828790i	$-0.310970\pi$
$684$	−5.21224	−	6.36352i	−0.199295	−	0.243315i
$685$	4.74549	+	24.7286i	0.181316	+	0.944829i
$686$	25.9982	−	3.17692i	0.992616	−	0.121295i
$687$	25.3018	−	25.3018i	0.965326	−	0.965326i
$688$	−11.5842	+	0.737050i	−0.441643	+	0.0280998i
$689$	13.2150	+	7.62966i	0.503450	+	0.290667i
$690$	4.81652	+	8.16922i	0.183362	+	0.310997i
$691$	−0.933578	−	1.61700i	−0.0355150	−	0.0615138i	0.847722	−	0.530441i	$-0.177974\pi$
$691$	−0.933578	−	1.61700i	−0.0355150	−	0.0615138i	−0.883237	+	0.468928i	$0.844640\pi$
$692$	28.1062	+	20.1813i	1.06844	+	0.767177i
$693$	−13.1375	−	10.7266i	−0.499054	−	0.407469i
$694$	−23.1430	+	27.2509i	−0.878498	+	1.03443i
$695$	−19.8763	−	1.43759i	−0.753952	−	0.0545309i
$696$	15.9598	−	8.83952i	0.604954	−	0.335061i
$697$	8.24472	−	2.20917i	0.312291	−	0.0836782i
$698$	6.41405	−	4.43470i	0.242775	−	0.167856i
$699$			59.3278i			2.24398i
$700$	9.83214	+	24.5628i	0.371620	+	0.928385i
$701$			4.84076i			0.182833i	0.995813	+	0.0914165i	$0.0291395\pi$
$701$			4.84076i			0.182833i	−0.995813	+	0.0914165i	$0.970861\pi$
$702$	−14.3573	−	20.7654i	−0.541880	−	0.783739i
$703$	−6.42522	+	1.72163i	−0.242332	+	0.0649326i
$704$	1.34319	−	37.7247i	0.0506232	−	1.42180i
$705$	53.3318	+	3.85732i	2.00859	+	0.145275i
$706$	12.7452	+	10.8240i	0.479672	+	0.407366i
$707$	15.2602	−	5.78734i	0.573920	−	0.217655i
$708$	−43.5649	−	31.2812i	−1.63727	−	1.17562i
$709$	−2.27309	−	3.93711i	−0.0853677	−	0.147861i	0.820180	−	0.572105i	$-0.193873\pi$
$709$	−2.27309	−	3.93711i	−0.0853677	−	0.147861i	−0.905548	+	0.424244i	$0.860540\pi$
$710$	−5.36502	+	3.16318i	−0.201346	+	0.118712i
$711$	0.0125321	+	0.00723541i	0.000469990	+	0.000271349i
$712$	13.9561	+	14.4619i	0.523028	+	0.541982i
$713$	−0.130943	+	0.130943i	−0.00490384	+	0.00490384i
$714$	43.7233	−	20.7885i	1.63630	−	0.777991i
$715$	−10.3584	−	53.9774i	−0.387384	−	2.01864i
$716$	29.7643	−	24.3794i	1.11234	−	0.911101i
$717$	0.518911	+	1.93660i	0.0193791	+	0.0723237i
$718$	4.51317	+	2.13721i	0.168430	+	0.0797599i
$719$	−17.0696	−	29.5654i	−0.636589	−	1.10260i	−0.986176	−	0.165700i	$-0.947012\pi$
$719$	−17.0696	−	29.5654i	−0.636589	−	1.10260i	0.349588	−	0.936904i	$-0.386322\pi$
$720$	3.24651	−	11.7095i	0.120990	−	0.436388i
$721$	−3.98536	−	5.53217i	−0.148423	−	0.206029i
$722$	−1.13002	−	13.8628i	−0.0420550	−	0.515919i
$723$	11.8259	+	3.16873i	0.439808	+	0.117846i
$724$	−13.5597	−	5.11829i	−0.503941	−	0.190220i
$725$	−15.2875	−	2.22302i	−0.567762	−	0.0825608i
$726$	5.96964	−	32.7194i	0.221554	−	1.21433i
$727$	−37.6337	+	37.6337i	−1.39576	+	1.39576i	−0.584017	+	0.811741i	$0.698520\pi$
$727$	−37.6337	+	37.6337i	−1.39576	+	1.39576i	−0.811741	+	0.584017i	$0.801480\pi$
$728$	−13.1722	−	36.6890i	−0.488195	−	1.35978i
$729$			6.20653i			0.229872i
$730$	−1.76174	+	1.79422i	−0.0652050	+	0.0664071i
$731$	8.99262	−	15.5757i	0.332604	−	0.576087i
$732$	−24.1524	+	10.9155i	−0.892699	+	0.403449i
$733$	8.38615	−	31.2975i	0.309749	−	1.15600i	−0.619030	−	0.785367i	$-0.712474\pi$
$733$	8.38615	−	31.2975i	0.309749	−	1.15600i	0.928779	−	0.370633i	$-0.120859\pi$
$734$	31.7698	+	26.9807i	1.17264	+	0.995877i
$735$	12.4531	+	30.2120i	0.459340	+	1.11439i
$736$	−3.00441	+	7.55002i	−0.110744	+	0.278297i
$737$	−9.20805	+	34.3649i	−0.339183	+	1.26585i
$738$	1.13245	−	2.39141i	0.0416861	−	0.0880291i
$739$	26.8817	+	15.5201i	0.988858	+	0.570917i	0.904933	−	0.425555i	$-0.139921\pi$
$739$	26.8817	+	15.5201i	0.988858	+	0.570917i	0.0839249	+	0.996472i	$0.473254\pi$
$740$	−7.54761	−	6.29212i	−0.277456	−	0.231303i
$741$		−	32.9236i		−	1.20948i
$742$	−1.98405	−	10.7794i	−0.0728366	−	0.395725i
$743$	−21.2074	−	21.2074i	−0.778023	−	0.778023i	0.201472	−	0.979494i	$-0.435428\pi$
$743$	−21.2074	−	21.2074i	−0.778023	−	0.778023i	−0.979494	+	0.201472i	$0.935428\pi$
$744$	0.761115	+	0.0135454i	0.0279038	+	0.000496599i
$745$	−14.0466	+	6.80952i	−0.514628	+	0.249481i
$746$	−16.1260	−	45.1370i	−0.590413	−	1.65258i
$747$	−2.12598	+	7.93426i	−0.0777855	+	0.290300i
$748$	47.5100	+	34.1139i	1.73714	+	1.24733i
$749$	10.2136	+	14.1777i	0.373195	+	0.518040i
$750$	−26.2759	+	19.9804i	−0.959459	+	0.729581i
$751$	−46.2516	+	26.7034i	−1.68775	+	0.974420i	−0.731506	+	0.681835i	$0.761182\pi$
$751$	−46.2516	+	26.7034i	−1.68775	+	0.974420i	−0.956240	+	0.292585i	$0.905485\pi$
$752$	25.3816	+	38.1437i	0.925570	+	1.39096i
$753$	−12.2777	−	45.8209i	−0.447424	−	1.66981i
$754$	22.3915	+	4.08531i	0.815449	+	0.148778i
$755$	9.68416	−	14.2837i	0.352443	−	0.519836i
$756$	−4.66598	+	17.5227i	−0.169700	+	0.637296i
$757$	8.54789	−	8.54789i	0.310678	−	0.310678i	−0.534494	−	0.845172i	$-0.679498\pi$
$757$	8.54789	−	8.54789i	0.310678	−	0.310678i	0.845172	+	0.534494i	$0.179498\pi$
$758$	0.270416	+	0.391111i	0.00982195	+	0.0142058i
$759$	−7.07531	+	12.2548i	−0.256817	+	0.444821i
$760$	−14.7009	+	12.2673i	−0.533256	+	0.444980i
$761$	4.37462	+	7.57706i	0.158580	+	0.274668i	0.934357	−	0.356339i	$-0.115975\pi$
$761$	4.37462	+	7.57706i	0.158580	+	0.274668i	−0.775777	+	0.631007i	$0.782642\pi$
$762$	42.1030	−	3.43201i	1.52523	−	0.124329i
$763$	−18.0277	−	47.5360i	−0.652648	−	1.72092i
$764$	−0.792240	−	4.82721i	−0.0286623	−	0.174642i
$765$	12.3180	+	14.2388i	0.445359	+	0.514804i
$766$	−1.91865	−	5.37035i	−0.0693236	−	0.194038i
$767$	−17.3177	−	64.6305i	−0.625305	−	2.33367i
$768$	30.9093	−	12.6650i	1.11534	−	0.457007i
$769$		−	18.9788i		−	0.684394i	−0.939628	−	0.342197i	$-0.888829\pi$
$769$		−	18.9788i		−	0.684394i	0.939628	−	0.342197i	$-0.111171\pi$
$770$	−24.6878	+	30.8068i	−0.889686	+	1.11020i
$771$	9.80641			0.353169
$772$	20.3077	+	2.01971i	0.730889	+	0.0726911i
$773$	−23.9666	+	6.42184i	−0.862020	+	0.230977i	−0.662634	−	0.748944i	$-0.730561\pi$
$773$	−23.9666	+	6.42184i	−0.862020	+	0.230977i	−0.199386	+	0.979921i	$0.563895\pi$
$774$	−1.87578	−	5.25035i	−0.0674234	−	0.188720i
$775$	−0.506030	−	0.399261i	−0.0181771	−	0.0143419i
$776$	−16.9614	+	28.2067i	−0.608880	+	1.01256i
$777$	−9.40104	−	7.67580i	−0.337260	−	0.275368i
$778$	−2.61286	−	32.0538i	−0.0936754	−	1.14919i
$779$	−3.61074	+	2.08466i	−0.129368	+	0.0746908i
$780$	39.7505	−	28.0237i	1.42330	−	1.00341i
$781$	−8.04816	−	4.64661i	−0.287986	−	0.166269i
$782$	−7.16029	−	10.3562i	−0.256051	−	0.370335i
$783$	−7.48675	−	7.48675i	−0.267554	−	0.267554i
$784$	−13.9244	+	24.2922i	−0.497301	+	0.867578i
$785$	−18.5939	+	3.56823i	−0.663644	+	0.127356i
$786$	5.64119	−	30.9192i	0.201215	−	1.10285i
$787$	14.9172	−	3.99705i	0.531740	−	0.142479i	0.0170486	−	0.999855i	$-0.494573\pi$
$787$	14.9172	−	3.99705i	0.531740	−	0.142479i	0.514692	+	0.857375i	$0.327906\pi$
$788$	11.8592	+	26.2404i	0.422465	+	0.934774i
$789$	4.99492	+	8.65146i	0.177824	+	0.308000i
$790$	0.0165746	−	0.0293234i	0.000589699	−	0.00104328i
$791$	−5.11934	−	50.6724i	−0.182023	−	1.80170i
$792$	17.5943	−	4.38037i	0.625187	−	0.155650i
$793$	−31.9397	−	8.55823i	−1.13421	−	0.303911i
$794$	−17.8206	+	6.36671i	−0.632429	+	0.225946i
$795$	12.3051	−	5.96529i	0.436419	−	0.211567i
$796$	20.2102	+	24.6743i	0.716333	+	0.874556i
$797$	−29.4180	+	29.4180i	−1.04204	+	1.04204i	−0.0429641	+	0.999077i	$0.513680\pi$
$797$	−29.4180	+	29.4180i	−1.04204	+	1.04204i	−0.999077	+	0.0429641i	$0.986320\pi$
$798$	−18.0014	+	15.3361i	−0.637242	+	0.542893i
$799$	−70.9899			−2.51144
$800$	−27.3240	−	7.30760i	−0.966048	−	0.258363i
$801$	−4.82667	+	8.36004i	−0.170542	+	0.295387i
$802$	−38.1508	−	18.0663i	−1.34715	−	0.637942i
$803$	−3.62423	−	0.971108i	−0.127896	−	0.0342697i
$804$	−31.0663	+	5.09860i	−1.09562	+	0.179814i
$805$	7.23566	−	4.45699i	0.255023	−	0.157088i
$806$	0.723880	+	0.614761i	0.0254976	+	0.0216540i
$807$	22.6408	+	6.06659i	0.796995	+	0.213554i
$808$	−4.81495	+	16.7701i	−0.169389	+	0.589971i
$809$	4.08427	+	2.35805i	0.143595	+	0.0829047i	0.570076	−	0.821592i	$-0.306914\pi$
$809$	4.08427	+	2.35805i	0.143595	+	0.0829047i	−0.426481	+	0.904496i	$0.640247\pi$
$810$	−35.5109	+	0.324355i	−1.24772	+	0.0113967i
$811$	−6.29734			−0.221129			−0.110565	−	0.993869i	$-0.535266\pi$
$811$	−6.29734			−0.221129			−0.110565	+	0.993869i	$0.535266\pi$
$812$	−8.19648	−	14.1458i	−0.287640	−	0.496421i
$813$	−18.1000	−	18.1000i	−0.634793	−	0.634793i
$814$	2.63170	−	14.4242i	0.0922409	−	0.505569i
$815$	−4.06130	+	11.7040i	−0.142261	+	0.409973i
$816$	−10.1941	+	50.7426i	−0.356865	+	1.77635i
$817$	−2.27377	+	8.48581i	−0.0795490	+	0.296881i
$818$	−6.70770	+	0.546776i	−0.234529	+	0.0191176i
$819$	15.1921	−	10.9444i	0.530856	−	0.382428i
$820$	−5.59030	−	2.58504i	−0.195222	−	0.0902736i
$821$	37.2935	−	21.5314i	1.30155	−	0.751452i	0.320882	−	0.947119i	$-0.396021\pi$
$821$	37.2935	−	21.5314i	1.30155	−	0.751452i	0.980670	+	0.195667i	$0.0626873\pi$
$822$	−30.0482	−	14.2293i	−1.04805	−	0.496303i
$823$	36.3595	−	9.74251i	1.26741	−	0.339603i	0.438375	−	0.898792i	$-0.355554\pi$
$823$	36.3595	−	9.74251i	1.26741	−	0.339603i	0.829040	+	0.559190i	$0.188888\pi$
$824$	7.28782	+	0.129700i	0.253883	+	0.00451831i
$825$	−45.2472	−	19.4619i	−1.57531	−	0.677575i
$826$	−27.2708	+	39.5742i	−0.948873	+	1.37696i
$827$	−3.81552	−	3.81552i	−0.132679	−	0.132679i	0.637649	−	0.770327i	$-0.279907\pi$
$827$	−3.81552	−	3.81552i	−0.132679	−	0.132679i	−0.770327	+	0.637649i	$0.779907\pi$
$828$	−3.88384	−	0.386270i	−0.134973	−	0.0134238i
$829$	11.0476	−	19.1351i	0.383701	−	0.664589i	−0.607887	−	0.794023i	$-0.707983\pi$
$829$	11.0476	−	19.1351i	0.383701	−	0.664589i	0.991588	+	0.129434i	$0.0413161\pi$
$830$	18.5129	+	4.77972i	0.642592	+	0.165907i
$831$	28.3620	−	16.3748i	0.983866	−	0.568035i
$832$	39.8442	+	12.2114i	1.38135	+	0.423353i
$833$	−19.3836	−	38.8132i	−0.671600	−	1.34480i
$834$	17.0329	−	20.0562i	0.589802	−	0.694490i
$835$	18.6702	+	21.5815i	0.646108	+	0.746857i
$836$	−26.7291	−	10.0893i	−0.924444	−	0.348944i
$837$	−0.114340	−	0.426722i	−0.00395217	−	0.0147497i
$838$	−1.19134	−	1.72307i	−0.0411542	−	0.0595226i
$839$	11.3212			0.390852			0.195426	−	0.980718i	$-0.437391\pi$
$839$	11.3212			0.390852			0.195426	+	0.980718i	$0.437391\pi$
$840$	−33.8385	−	8.68037i	−1.16754	−	0.299501i
$841$	−19.4541			−0.670830
$842$	−13.4234	−	19.4147i	−0.462601	−	0.669075i
$843$	9.61506	+	35.8839i	0.331160	+	1.23591i
$844$	6.73415	−	17.8405i	0.231799	−	0.614096i
$845$	31.5257	+	2.28015i	1.08452	+	0.0784396i
$846$	−14.2453	+	16.7739i	−0.489765	+	0.576697i
$847$	−29.4183	−	4.78111i	−1.01083	−	0.164281i
$848$	10.4990	+	5.20248i	0.360536	+	0.178654i
$849$	−20.1479	+	11.6324i	−0.691474	+	0.399223i
$850$	32.8802	−	28.9740i	1.12778	−	0.993800i
$851$	−1.57812	+	2.73339i	−0.0540974	+	0.0936994i
$852$	0.813858	−	8.18312i	0.0278823	−	0.280349i
$853$	−11.5571	−	11.5571i	−0.395709	−	0.395709i	0.481007	−	0.876717i	$-0.340271\pi$
$853$	−11.5571	−	11.5571i	−0.395709	−	0.395709i	−0.876717	+	0.481007i	$0.840271\pi$
$854$	10.1985	+	21.4500i	0.348986	+	0.734003i
$855$	−7.61202	−	5.16086i	−0.260326	−	0.176498i
$856$	−18.6770	−	0.332391i	−0.638366	−	0.0113609i
$857$	−27.8502	+	7.46243i	−0.951343	+	0.254912i	−0.700932	−	0.713228i	$-0.747232\pi$
$857$	−27.8502	+	7.46243i	−0.951343	+	0.254912i	−0.250411	+	0.968140i	$0.580566\pi$
$858$	65.5890	+	31.0596i	2.23917	+	1.06036i
$859$	−3.24355	+	1.87267i	−0.110669	+	0.0638945i	−0.554313	−	0.832309i	$-0.687019\pi$
$859$	−3.24355	+	1.87267i	−0.110669	+	0.0638945i	0.443644	+	0.896203i	$0.353685\pi$
$860$	−12.1808	+	4.47766i	−0.415361	+	0.152687i
$861$	−6.93689	−	3.12209i	−0.236409	−	0.106401i
$862$	−15.9043	+	1.29643i	−0.541702	+	0.0441567i
$863$	1.97772	−	7.38095i	0.0673223	−	0.251250i	−0.924061	−	0.382246i	$-0.875151\pi$
$863$	1.97772	−	7.38095i	0.0673223	−	0.251250i	0.991383	+	0.130996i	$0.0418174\pi$
$864$	−12.0148	−	15.2130i	−0.408753	−	0.517558i
$865$	36.5475	+	12.6820i	1.24265	+	0.431201i
$866$	−7.57160	+	41.4997i	−0.257293	+	1.41022i
$867$	−31.6092	−	31.6092i	−1.07350	−	1.07350i
$868$	−0.00106193	−	0.682152i	−3.60442e−5	−	0.0231538i
$869$	0.0502607			0.00170498
$870$	14.2910	−	14.5545i	0.484510	−	0.493442i
$871$	−34.0142	−	19.6381i	−1.15253	−	0.665412i
$872$	52.2393	+	14.9987i	1.76905	+	0.507920i
$873$	−15.2704	−	4.09169i	−0.516825	−	0.138483i
$874$	4.68764	+	3.98102i	0.158562	+	0.134660i
$875$	18.3570	+	23.1953i	0.620579	+	0.784144i
$876$	−0.537713	−	3.27635i	−0.0181677	−	0.110698i
$877$	−36.1264	−	9.68004i	−1.21990	−	0.326872i	−0.409262	−	0.912417i	$-0.634214\pi$
$877$	−36.1264	−	9.68004i	−1.21990	−	0.326872i	−0.810640	+	0.585545i	$0.800881\pi$
$878$	4.73895	+	2.24412i	0.159932	+	0.0757355i
$879$	−6.92219	+	11.9896i	−0.233480	+	0.404399i
$880$	−10.5698	−	40.8592i	−0.356307	−	1.37736i
$881$	−1.03453			−0.0348543			−0.0174272	−	0.999848i	$-0.505548\pi$
$881$	−1.03453			−0.0348543			−0.0174272	+	0.999848i	$0.505548\pi$
$882$	−13.0606	−	3.20849i	−0.439774	−	0.108035i
$883$	20.2957	−	20.2957i	0.683005	−	0.683005i	−0.277671	−	0.960676i	$-0.589563\pi$
$883$	20.2957	−	20.2957i	0.683005	−	0.683005i	0.960676	+	0.277671i	$0.0895625\pi$
$884$	−49.9526	+	40.9153i	−1.68009	+	1.37613i
$885$	−56.6490	−	19.6572i	−1.90423	−	0.660771i
$886$	−12.2343	+	4.37091i	−0.411019	+	0.146844i
$887$	47.2687	+	12.6656i	1.58713	+	0.425270i	0.941123	−	0.338064i	$-0.109772\pi$
$887$	47.2687	+	12.6656i	1.58713	+	0.425270i	0.646005	+	0.763333i	$0.276439\pi$
$888$	12.5903	−	3.13453i	0.422501	−	0.105188i
$889$	−3.80497	−	37.6625i	−0.127615	−	1.26316i
$890$	19.5614	+	11.0568i	0.655698	+	0.370624i
$891$	−26.4948	−	45.8903i	−0.887609	−	1.53738i
$892$	10.3141	−	4.66139i	0.345342	−	0.156075i
$893$	33.4945	−	8.97483i	1.12085	−	0.300331i
$894$	3.69947	−	20.2767i	0.123729	−	0.678154i
$895$	24.1391	−	35.6040i	0.806880	−	1.19011i
$896$	−11.8831	−	27.4735i	−0.396986	−	0.917825i
$897$	−11.0463	−	11.0463i	−0.368827	−	0.368827i
$898$	−15.9028	−	23.0008i	−0.530684	−	0.767546i
$899$	0.344939	+	0.199151i	0.0115044	+	0.00664205i
$900$	−0.248158	−	13.5832i	−0.00827194	−	0.452774i
$901$	−15.7228	+	9.07757i	−0.523803	+	0.302418i
$902$	−0.746659	−	9.15982i	−0.0248610	−	0.304989i
$903$	−14.9873	+	5.68383i	−0.498746	+	0.189146i
$904$	46.6605	+	28.0581i	1.55190	+	0.933200i
$905$	−16.1620	−	1.16895i	−0.537243	−	0.0388571i
$906$	7.66612	+	21.4577i	0.254690	+	0.712883i
$907$	20.5659	−	5.51062i	0.682880	−	0.182977i	0.0993301	−	0.995055i	$-0.468330\pi$
$907$	20.5659	−	5.51062i	0.682880	−	0.182977i	0.583550	+	0.812077i	$0.301663\pi$
$908$	−3.99940	+	40.2128i	−0.132725	+	1.33451i
$909$	−8.38045			−0.277962
$910$	−25.7970	−	35.1284i	−0.855163	−	1.16449i
$911$			10.3363i			0.342456i	0.985231	+	0.171228i	$0.0547735\pi$
$911$			10.3363i			0.342456i	−0.985231	+	0.171228i	$0.945227\pi$
$912$	−1.60528	−	25.2302i	−0.0531562	−	0.835455i
$913$	7.38405	+	27.5576i	0.244376	+	0.912025i
$914$	−3.38545	−	9.47597i	−0.111981	−	0.313437i
$915$	−22.4106	+	19.3875i	−0.740872	+	0.640930i
$916$	33.8263	−	5.55157i	1.11765	−	0.183429i
$917$	−27.7997	−	4.51805i	−0.918028	−	0.149199i
$918$	29.9371	−	2.44031i	0.988070	−	0.0805422i
$919$	−1.35277	−	2.34306i	−0.0446236	−	0.0772904i	0.842851	−	0.538147i	$-0.180876\pi$
$919$	−1.35277	−	2.34306i	−0.0446236	−	0.0772904i	−0.887475	+	0.460857i	$0.847542\pi$
$920$	−0.816508	+	9.04820i	−0.0269195	+	0.298310i
$921$	13.4518	−	23.2992i	0.443251	−	0.767733i
$922$	9.45170	+	13.6703i	0.311275	+	0.450207i
$923$	7.25453	−	7.25453i	0.238786	−	0.238786i
$924$	−13.5698	−	50.3296i	−0.446413	−	1.65572i
$925$	−10.0922	−	4.34090i	−0.331831	−	0.142728i
$926$	−51.8600	−	9.46183i	−1.70422	−	0.310935i
$927$	0.906135	+	3.38174i	0.0297614	+	0.111071i
$928$	17.3584	+	2.03892i	0.569816	+	0.0669309i
$929$	28.6701	−	16.5527i	0.940636	−	0.543076i	0.0504764	−	0.998725i	$-0.483926\pi$
$929$	28.6701	−	16.5527i	0.940636	−	0.543076i	0.890160	+	0.455649i	$0.150593\pi$
$930$	0.820041	−	0.227777i	0.0268902	−	0.00746910i
$931$	14.0525	+	15.8623i	0.460552	+	0.519867i
$932$	−33.1493	+	46.1667i	−1.08584	+	1.51224i
$933$	−8.17106	+	30.4948i	−0.267509	+	0.998356i
$934$	4.72137	+	13.2152i	0.154488	+	0.432416i
$935$	61.7790	+	21.4374i	2.02039	+	0.701077i
$936$	−0.356175	+	20.0134i	−0.0116419	+	0.654158i
$937$	22.4864	+	22.4864i	0.734598	+	0.734598i	0.971527	−	0.236929i	$-0.0761409\pi$
$937$	22.4864	+	22.4864i	0.734598	+	0.734598i	−0.236929	+	0.971527i	$0.576141\pi$
$938$	5.10676	+	27.7453i	0.166742	+	0.905917i
$939$		−	18.3273i		−	0.598090i
$940$	39.3455	+	32.8007i	1.28331	+	1.06984i
$941$	28.0033	+	16.1677i	0.912882	+	0.527053i	0.881357	−	0.472450i	$-0.156630\pi$
$941$	28.0033	+	16.1677i	0.912882	+	0.527053i	0.0315250	+	0.999503i	$0.489964\pi$
$942$	10.6993	−	22.5938i	0.348601	−	0.736146i
$943$	−0.512022	+	1.91089i	−0.0166737	+	0.0622272i
$944$	−16.4222	−	48.6837i	−0.534498	−	1.58452i
$945$	0.577426	+	20.2655i	0.0187837	+	0.659236i
$946$	−14.7601	−	12.5351i	−0.479891	−	0.407551i
$947$	−5.07379	+	18.9356i	−0.164876	+	0.615326i	0.833180	+	0.553002i	$0.186518\pi$
$947$	−5.07379	+	18.9356i	−0.164876	+	0.615326i	−0.998056	+	0.0623239i	$0.980149\pi$
$948$	0.0183166	+	0.0405284i	0.000594894	+	0.00131630i
$949$	2.07109	−	3.58724i	0.0672305	−	0.116447i
$950$	−11.8505	+	17.8274i	−0.384482	+	0.578397i
$951$		−	66.3922i		−	2.15292i
$952$	45.6394	+	8.25349i	1.47918	+	0.267497i
$953$	11.5752	−	11.5752i	0.374958	−	0.374958i	−0.494321	−	0.869279i	$-0.664583\pi$
$953$	11.5752	−	11.5752i	0.374958	−	0.374958i	0.869279	+	0.494321i	$0.164583\pi$
$954$	−1.01016	+	5.53664i	−0.0327050	+	0.179255i
$955$	−2.38579	−	4.92138i	−0.0772023	−	0.159252i
$956$	−0.678277	+	1.79693i	−0.0219370	+	0.0581169i
$957$	29.3992	+	7.87748i	0.950340	+	0.254643i
$958$	−0.158993	−	1.95048i	−0.00513683	−	0.0630172i
$959$	−12.2276	+	27.1683i	−0.394851	+	0.877309i
$960$	29.0955	−	23.4135i	0.939052	−	0.755666i
$961$	−15.4917	−	26.8324i	−0.499732	−	0.865561i
$962$	14.6294	+	6.92775i	0.471671	+	0.223359i
$963$	−2.32221	−	8.66662i	−0.0748323	−	0.279278i
$964$	7.43191	+	9.07347i	0.239366	+	0.292237i
$965$	22.4078	−	4.30013i	0.721332	−	0.138426i
$966$	−0.894234	+	11.1852i	−0.0287715	+	0.359879i
$967$	−8.88144	+	8.88144i	−0.285608	+	0.285608i	−0.835341	−	0.549733i	$-0.814730\pi$
$967$	−8.88144	+	8.88144i	−0.285608	+	0.285608i	0.549733	+	0.835341i	$0.314730\pi$
$968$	22.9273	−	22.1255i	0.736910	−	0.711139i
$969$	33.9236	+	19.5858i	1.08978	+	0.629186i
$970$	−9.19914	+	35.6302i	−0.295366	+	1.14402i
$971$	12.6400	+	21.8931i	0.405637	+	0.702583i	0.994395	−	0.105726i	$-0.0337165\pi$
$971$	12.6400	+	21.8931i	0.405637	+	0.702583i	−0.588759	+	0.808309i	$0.700383\pi$
$972$	15.3563	−	21.3866i	0.492555	−	0.685975i
$973$	−18.2646	−	14.9128i	−0.585538	−	0.478082i
$974$	−32.5110	−	27.6102i	−1.04172	−	0.884688i
$975$	33.6817	−	42.6888i	1.07868	−	1.36714i
$976$	−24.8935	−	5.00108i	−0.796822	−	0.160081i
$977$	−51.9375	+	13.9166i	−1.66163	+	0.445232i	−0.962834	−	0.270093i	$-0.912946\pi$
$977$	−51.9375	+	13.9166i	−1.66163	+	0.445232i	−0.698792	+	0.715324i	$0.746279\pi$
$978$	−9.30278	−	13.4549i	−0.297470	−	0.430241i
$979$			33.5284i			1.07157i
$980$	−7.19038	+	30.4680i	−0.229688	+	0.973264i
$981$			26.1053i			0.833479i
$982$	20.9475	−	14.4832i	0.668463	−	0.462178i
$983$	17.9552	−	4.81108i	0.572682	−	0.153450i	0.0391556	−	0.999233i	$-0.487533\pi$
$983$	17.9552	−	4.81108i	0.572682	−	0.153450i	0.533526	+	0.845783i	$0.320867\pi$
$984$	7.11404	−	3.94020i	0.226787	−	0.125609i
$985$	21.0635	+	24.3480i	0.671139	+	0.775791i
$986$	−17.5298	+	20.6413i	−0.558262	+	0.657353i
$987$	49.0074	+	40.0138i	1.55992	+	1.27365i
$988$	18.3960	−	25.6199i	0.585255	−	0.815077i
$989$	2.08423	+	3.61000i	0.0662747	+	0.114791i
$990$	17.4623	−	10.2957i	0.554990	−	0.327218i
$991$	−17.3770	−	10.0326i	−0.551999	−	0.318696i	0.197929	−	0.980216i	$-0.436578\pi$
$991$	−17.3770	−	10.0326i	−0.551999	−	0.318696i	−0.749928	+	0.661520i	$0.769912\pi$
$992$	0.584702	+	0.435812i	0.0185643	+	0.0138371i
$993$	−13.8014	+	13.8014i	−0.437974	+	0.437974i
$994$	−7.34574	−	0.587276i	−0.232993	−	0.0186273i
$995$	29.5153	+	20.0110i	0.935697	+	0.634392i
$996$	−19.5305	+	15.9971i	−0.618848	+	0.506887i
$997$	−9.97833	−	37.2396i	−0.316017	−	1.17939i	−0.923039	−	0.384706i	$-0.874303\pi$
$997$	−9.97833	−	37.2396i	−0.316017	−	1.17939i	0.607022	−	0.794685i	$-0.292364\pi$
$998$	22.3135	−	47.1196i	0.706320	−	1.49155i
$999$	−3.76484	−	6.52089i	−0.119114	−	0.206312i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.67.10	✓	176
5.3	odd	4	inner	280.2.br.a.123.32	yes	176
7.2	even	3	inner	280.2.br.a.107.39	yes	176
8.3	odd	2	inner	280.2.br.a.67.28	yes	176
35.23	odd	12	inner	280.2.br.a.163.28	yes	176
40.3	even	4	inner	280.2.br.a.123.39	yes	176
56.51	odd	6	inner	280.2.br.a.107.32	yes	176
280.163	even	12	inner	280.2.br.a.163.10	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.10	✓	176	1.1	even	1	trivial
280.2.br.a.67.28	yes	176	8.3	odd	2	inner
280.2.br.a.107.32	yes	176	56.51	odd	6	inner
280.2.br.a.107.39	yes	176	7.2	even	3	inner
280.2.br.a.123.32	yes	176	5.3	odd	4	inner
280.2.br.a.123.39	yes	176	40.3	even	4	inner
280.2.br.a.163.10	yes	176	280.163	even	12	inner
280.2.br.a.163.28	yes	176	35.23	odd	12	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.16325 + 0.804274i) q^{2} +(-0.540340 - 2.01658i) q^{3} +(0.706287 - 1.87114i) q^{4} +(0.161306 - 2.23024i) q^{5} +(2.25043 + 1.91120i) q^{6} +(1.67330 - 2.04940i) q^{7} +(0.683321 + 2.74464i) q^{8} +(-1.17654 + 0.679275i) q^{9} +O(q^{10})\)	\(q+(-1.16325 + 0.804274i) q^{2} +(-0.540340 - 2.01658i) q^{3} +(0.706287 - 1.87114i) q^{4} +(0.161306 - 2.23024i) q^{5} +(2.25043 + 1.91120i) q^{6} +(1.67330 - 2.04940i) q^{7} +(0.683321 + 2.74464i) q^{8} +(-1.17654 + 0.679275i) q^{9} +(1.60609 + 2.72406i) q^{10} +(-2.35929 + 4.08641i) q^{11} +(-4.15493 - 0.413232i) q^{12} +(-3.68344 - 3.68344i) q^{13} +(-0.298186 + 3.72976i) q^{14} +(-4.58461 + 0.879803i) q^{15} +(-3.00232 - 2.64312i) q^{16} +(5.98656 - 1.60409i) q^{17} +(0.822282 - 1.73642i) q^{18} +(-2.62179 + 1.51369i) q^{19} +(-4.05916 - 1.87702i) q^{20} +(-5.03693 - 2.26697i) q^{21} +(-0.542155 - 6.65101i) q^{22} +(-0.371783 + 1.38751i) q^{23} +(5.16556 - 2.86101i) q^{24} +(-4.94796 - 0.719504i) q^{25} +(7.24725 + 1.32226i) q^{26} +(-2.42317 - 2.42317i) q^{27} +(-2.65288 - 4.57845i) q^{28} +3.08965 q^{29} +(4.62544 - 4.71071i) q^{30} +(0.111644 + 0.0644574i) q^{31} +(5.61823 + 0.659920i) q^{32} +(9.51537 + 2.54964i) q^{33} +(-5.67371 + 6.68079i) q^{34} +(-4.30075 - 4.06246i) q^{35} +(0.440043 + 2.68123i) q^{36} +(2.12237 + 0.568688i) q^{37} +(1.83236 - 3.86943i) q^{38} +(-5.43764 + 9.41826i) q^{39} +(6.23145 - 1.08124i) q^{40} +1.37721 q^{41} +(7.68246 - 1.41402i) q^{42} +(2.05196 - 2.05196i) q^{43} +(5.97990 + 7.30073i) q^{44} +(1.32516 + 2.73354i) q^{45} +(-0.683465 - 1.91304i) q^{46} +(-11.0639 - 2.96456i) q^{47} +(-3.70779 + 7.48259i) q^{48} +(-1.40010 - 6.85855i) q^{49} +(6.33438 - 3.14255i) q^{50} +(-6.46955 - 11.2056i) q^{51} +(-9.49380 + 4.29066i) q^{52} +(-2.82950 + 0.758163i) q^{53} +(4.76764 + 0.869853i) q^{54} +(8.73311 + 5.92095i) q^{55} +(6.76829 + 3.19223i) q^{56} +(4.46913 + 4.46913i) q^{57} +(-3.59403 + 2.48492i) q^{58} +(11.1239 + 6.42236i) q^{59} +(-1.59182 + 9.19984i) q^{60} +(5.49729 - 3.17386i) q^{61} +(-0.181710 + 0.0148121i) q^{62} +(-0.576599 + 3.54783i) q^{63} +(-7.06615 + 3.75095i) q^{64} +(-8.80914 + 7.62081i) q^{65} +(-13.1193 + 4.68711i) q^{66} +(7.28290 - 1.95145i) q^{67} +(1.22675 - 12.3346i) q^{68} +2.99892 q^{69} +(8.27016 + 1.26666i) q^{70} +1.96950i q^{71} +(-2.66832 - 2.76502i) q^{72} +(0.205805 + 0.768076i) q^{73} +(-2.92622 + 1.04544i) q^{74} +(1.22265 + 10.3667i) q^{75} +(0.980587 + 5.97482i) q^{76} +(4.42689 + 11.6729i) q^{77} +(-1.24955 - 15.3291i) q^{78} +(-0.00532584 - 0.00922462i) q^{79} +(-6.37910 + 6.26954i) q^{80} +(-5.61500 + 9.72546i) q^{81} +(-1.60203 + 1.10765i) q^{82} +(4.27536 - 4.27536i) q^{83} +(-7.79934 + 7.82366i) q^{84} +(-2.61185 - 13.6102i) q^{85} +(-0.736597 + 4.03726i) q^{86} +(-1.66946 - 6.23052i) q^{87} +(-12.8279 - 3.68308i) q^{88} +(6.15365 - 3.55281i) q^{89} +(-3.74000 - 2.11398i) q^{90} +(-13.7124 + 1.38534i) q^{91} +(2.33364 + 1.67564i) q^{92} +(0.0696579 - 0.259967i) q^{93} +(15.2543 - 5.44987i) q^{94} +(2.95298 + 6.09139i) q^{95} +(-1.70498 - 11.6862i) q^{96} +(8.22842 + 8.22842i) q^{97} +(7.14482 + 6.85212i) q^{98} -6.41042i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

L-functions

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