LMFDB - Embedded newform 280.2.br.a.67.37

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			67.37
Character	$\chi$	$=$	280.67
Dual form			280.2.br.a.163.37

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.24109 + 0.678016i) q^{2} +(0.388267 + 1.44903i) q^{3} +(1.08059 + 1.68295i) q^{4} +(-2.17362 + 0.524773i) q^{5} +(-0.500594 + 2.06162i) q^{6} +(-2.60799 + 0.445401i) q^{7} +(0.200036 + 2.82134i) q^{8} +(0.649136 - 0.374779i) q^{9} +O(q^{10})$	\(q+(1.24109 + 0.678016i) q^{2} +(0.388267 + 1.44903i) q^{3} +(1.08059 + 1.68295i) q^{4} +(-2.17362 + 0.524773i) q^{5} +(-0.500594 + 2.06162i) q^{6} +(-2.60799 + 0.445401i) q^{7} +(0.200036 + 2.82134i) q^{8} +(0.649136 - 0.374779i) q^{9} +(-3.05345 - 0.822459i) q^{10} +(1.03683 - 1.79585i) q^{11} +(-2.01909 + 2.21924i) q^{12} +(3.78195 + 3.78195i) q^{13} +(-3.53873 - 1.21548i) q^{14} +(-1.60436 - 2.94589i) q^{15} +(-1.66465 + 3.63716i) q^{16} +(-1.65553 + 0.443598i) q^{17} +(1.05974 - 0.0250083i) q^{18} +(1.96616 - 1.13516i) q^{19} +(-3.23195 - 3.09103i) q^{20} +(-1.65800 - 3.60613i) q^{21} +(2.50441 - 1.52581i) q^{22} +(1.79446 - 6.69701i) q^{23} +(-4.01055 + 1.38529i) q^{24} +(4.44923 - 2.28131i) q^{25} +(2.12951 + 7.25795i) q^{26} +(3.97740 + 3.97740i) q^{27} +(-3.56776 - 3.90783i) q^{28} +8.01124 q^{29} +(0.00621564 - 4.74388i) q^{30} +(-3.76977 - 2.17648i) q^{31} +(-4.53203 + 3.38537i) q^{32} +(3.00481 + 0.805136i) q^{33} +(-2.35542 - 0.571932i) q^{34} +(5.43504 - 2.33673i) q^{35} +(1.33218 + 0.687482i) q^{36} +(-3.81608 - 1.02252i) q^{37} +(3.20983 - 0.0757473i) q^{38} +(-4.01176 + 6.94858i) q^{39} +(-1.91537 - 6.02755i) q^{40} -1.76232 q^{41} +(0.387295 - 5.59966i) q^{42} +(-7.50054 + 7.50054i) q^{43} +(4.14272 - 0.195633i) q^{44} +(-1.21430 + 1.15527i) q^{45} +(6.76776 - 7.09490i) q^{46} +(-1.06992 - 0.286684i) q^{47} +(-5.91669 - 0.999948i) q^{48} +(6.60324 - 2.32320i) q^{49} +(7.06864 + 0.185345i) q^{50} +(-1.28557 - 2.22668i) q^{51} +(-2.27811 + 10.4516i) q^{52} +(8.24761 - 2.20994i) q^{53} +(2.23955 + 7.63303i) q^{54} +(-1.31127 + 4.44759i) q^{55} +(-1.77832 - 7.26895i) q^{56} +(2.40828 + 2.40828i) q^{57} +(9.94264 + 5.43175i) q^{58} +(-8.33605 - 4.81282i) q^{59} +(3.22414 - 5.88335i) q^{60} +(7.39983 - 4.27229i) q^{61} +(-3.20292 - 5.25716i) q^{62} +(-1.52601 + 1.26655i) q^{63} +(-7.91997 + 1.12874i) q^{64} +(-10.2052 - 6.23586i) q^{65} +(3.18333 + 3.03655i) q^{66} +(-3.23533 + 0.866905i) q^{67} +(-2.53550 - 2.30683i) q^{68} +10.4009 q^{69} +(8.32970 + 0.784957i) q^{70} -5.34585i q^{71} +(1.18723 + 1.75647i) q^{72} +(-0.151531 - 0.565523i) q^{73} +(-4.04280 - 3.85639i) q^{74} +(5.03318 + 5.56131i) q^{75} +(4.03503 + 2.08230i) q^{76} +(-1.90418 + 5.14536i) q^{77} +(-9.69019 + 5.90374i) q^{78} +(-3.44100 - 5.95998i) q^{79} +(1.70964 - 8.77936i) q^{80} +(-3.09475 + 5.36026i) q^{81} +(-2.18719 - 1.19488i) q^{82} +(9.12181 - 9.12181i) q^{83} +(4.27732 - 6.68707i) q^{84} +(3.36570 - 1.83299i) q^{85} +(-14.3943 + 4.22333i) q^{86} +(3.11050 + 11.6085i) q^{87} +(5.27411 + 2.56603i) q^{88} +(-6.29757 + 3.63590i) q^{89} +(-2.29034 + 0.610481i) q^{90} +(-11.5478 - 8.17882i) q^{91} +(13.2098 - 4.21673i) q^{92} +(1.69011 - 6.30756i) q^{93} +(-1.13349 - 1.08122i) q^{94} +(-3.67797 + 3.49919i) q^{95} +(-6.66514 - 5.25263i) q^{96} +(-10.7087 - 10.7087i) q^{97} +(9.77035 + 1.59380i) q^{98} -1.55433i 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 $

$2$	1.24109	+	0.678016i	0.877580	+	0.479430i
$2$	1.24109	+	0.678016i	0.877580	+	0.479430i
$3$	0.388267	+	1.44903i	0.224166	+	0.836599i	0.982737	+	0.185008i	$0.0592312\pi$
$3$	0.388267	+	1.44903i	0.224166	+	0.836599i	−0.758571	+	0.651590i	$0.774102\pi$
$4$	1.08059	+	1.68295i	0.540295	+	0.841476i
$5$	−2.17362	+	0.524773i	−0.972071	+	0.234685i
$5$	−2.17362	+	0.524773i	−0.972071	+	0.234685i
$6$	−0.500594	+	2.06162i	−0.204366	+	0.841654i
$7$	−2.60799	+	0.445401i	−0.985728	+	0.168346i
$7$	−2.60799	+	0.445401i	−0.985728	+	0.168346i
$8$	0.200036	+	2.82134i	0.0707235	+	0.997496i
$9$	0.649136	−	0.374779i	0.216379	−	0.124926i
$10$	−3.05345	−	0.822459i	−0.965586	−	0.260084i
$11$	1.03683	−	1.79585i	0.312617	−	0.541469i	−0.666311	−	0.745674i	$-0.732128\pi$
$11$	1.03683	−	1.79585i	0.312617	−	0.541469i	0.978928	+	0.204205i	$0.0654610\pi$
$12$	−2.01909	+	2.21924i	−0.582862	+	0.640640i
$13$	3.78195	+	3.78195i	1.04893	+	1.04893i	0.998740	+	0.0501853i	$0.0159812\pi$
$13$	3.78195	+	3.78195i	1.04893	+	1.04893i	0.0501853	+	0.998740i	$0.484019\pi$
$14$	−3.53873	−	1.21548i	−0.945765	−	0.324850i
$15$	−1.60436	−	2.94589i	−0.414243	−	0.760625i
$16$	−1.66465	+	3.63716i	−0.416164	+	0.909290i
$17$	−1.65553	+	0.443598i	−0.401525	+	0.107588i	−0.453929	−	0.891038i	$-0.649978\pi$
$17$	−1.65553	+	0.443598i	−0.401525	+	0.107588i	0.0524045	+	0.998626i	$0.483311\pi$
$18$	1.05974	−	0.0250083i	0.249783	−	0.00589452i
$19$	1.96616	−	1.13516i	0.451067	−	0.260424i	−0.257214	−	0.966355i	$-0.582804\pi$
$19$	1.96616	−	1.13516i	0.451067	−	0.260424i	0.708281	+	0.705931i	$0.249471\pi$
$20$	−3.23195	−	3.09103i	−0.722687	−	0.691175i
$21$	−1.65800	−	3.60613i	−0.361804	−	0.786921i
$22$	2.50441	−	1.52581i	0.533943	−	0.325304i
$23$	1.79446	−	6.69701i	0.374170	−	1.39642i	−0.480383	−	0.877059i	$-0.659502\pi$
$23$	1.79446	−	6.69701i	0.374170	−	1.39642i	0.854553	−	0.519364i	$-0.173831\pi$
$24$	−4.01055	+	1.38529i	−0.818650	+	0.282772i
$25$	4.44923	−	2.28131i	0.889845	−	0.456262i
$26$	2.12951	+	7.25795i	0.417630	+	1.42340i
$27$	3.97740	+	3.97740i	0.765450	+	0.765450i
$28$	−3.56776	−	3.90783i	−0.674242	−	0.738510i
$29$	8.01124			1.48765			0.743825	−	0.668375i	$-0.233010\pi$
$29$	8.01124			1.48765			0.743825	+	0.668375i	$0.233010\pi$
$30$	0.00621564	−	4.74388i	0.00113482	−	0.866110i
$31$	−3.76977	−	2.17648i	−0.677070	−	0.390907i	0.121680	−	0.992569i	$-0.461172\pi$
$31$	−3.76977	−	2.17648i	−0.677070	−	0.390907i	−0.798750	+	0.601663i	$0.794505\pi$
$32$	−4.53203	+	3.38537i	−0.801157	+	0.598454i
$33$	3.00481	+	0.805136i	0.523070	+	0.140156i
$34$	−2.35542	−	0.571932i	−0.403951	−	0.0980855i
$35$	5.43504	−	2.33673i	0.918690	−	0.394980i
$36$	1.33218	+	0.687482i	0.222031	+	0.114580i
$37$	−3.81608	−	1.02252i	−0.627359	−	0.168100i	−0.0688883	−	0.997624i	$-0.521945\pi$
$37$	−3.81608	−	1.02252i	−0.627359	−	0.168100i	−0.558471	+	0.829524i	$0.688612\pi$
$38$	3.20983	−	0.0757473i	0.520703	−	0.0122878i
$39$	−4.01176	+	6.94858i	−0.642396	+	1.11266i
$40$	−1.91537	−	6.02755i	−0.302846	−	0.953039i
$41$	−1.76232			−0.275228			−0.137614	−	0.990486i	$-0.543943\pi$
$41$	−1.76232			−0.275228			−0.137614	+	0.990486i	$0.543943\pi$
$42$	0.387295	−	5.59966i	0.0597609	−	0.864046i
$43$	−7.50054	+	7.50054i	−1.14382	+	1.14382i	−0.156077	+	0.987745i	$0.549885\pi$
$43$	−7.50054	+	7.50054i	−1.14382	+	1.14382i	−0.987745	+	0.156077i	$0.950115\pi$
$44$	4.14272	−	0.195633i	0.624538	−	0.0294928i
$45$	−1.21430	+	1.15527i	−0.181017	+	0.172218i
$46$	6.76776	−	7.09490i	0.997851	−	1.04609i
$47$	−1.06992	−	0.286684i	−0.156064	−	0.0418172i	0.179941	−	0.983677i	$-0.442409\pi$
$47$	−1.06992	−	0.286684i	−0.156064	−	0.0418172i	−0.336005	+	0.941860i	$0.609076\pi$
$48$	−5.91669	−	0.999948i	−0.854000	−	0.144330i
$49$	6.60324	−	2.32320i	0.943319	−	0.331886i
$50$	7.06864	+	0.185345i	0.999656	+	0.0262117i
$51$	−1.28557	−	2.22668i	−0.180016	−	0.311797i
$52$	−2.27811	+	10.4516i	−0.315917	+	1.44937i
$53$	8.24761	−	2.20994i	1.13290	−	0.303559i	0.356805	−	0.934179i	$-0.383866\pi$
$53$	8.24761	−	2.20994i	1.13290	−	0.303559i	0.776091	+	0.630620i	$0.217200\pi$
$54$	2.23955	+	7.63303i	0.304765	+	1.03872i
$55$	−1.31127	+	4.44759i	−0.176811	+	0.599713i
$56$	−1.77832	−	7.26895i	−0.237638	−	0.971354i
$57$	2.40828	+	2.40828i	0.318984	+	0.318984i
$58$	9.94264	+	5.43175i	1.30553	+	0.713223i
$59$	−8.33605	−	4.81282i	−1.08526	−	0.626576i	−0.152951	−	0.988234i	$-0.548878\pi$
$59$	−8.33605	−	4.81282i	−1.08526	−	0.626576i	−0.932311	+	0.361658i	$0.882211\pi$
$60$	3.22414	−	5.88335i	0.416235	−	0.759537i
$61$	7.39983	−	4.27229i	0.947451	−	0.547011i	0.0551627	−	0.998477i	$-0.482432\pi$
$61$	7.39983	−	4.27229i	0.947451	−	0.547011i	0.892288	+	0.451466i	$0.149099\pi$
$62$	−3.20292	−	5.25716i	−0.406771	−	0.667660i
$63$	−1.52601	+	1.26655i	−0.192260	+	0.159570i
$64$	−7.91997	+	1.12874i	−0.989996	+	0.141093i
$65$	−10.2052	−	6.23586i	−1.26580	−	0.773463i
$66$	3.18333	+	3.03655i	0.391841	+	0.373774i
$67$	−3.23533	+	0.866905i	−0.395259	+	0.105909i	−0.450973	−	0.892537i	$-0.648923\pi$
$67$	−3.23533	+	0.866905i	−0.395259	+	0.105909i	0.0557143	+	0.998447i	$0.482256\pi$
$68$	−2.53550	−	2.30683i	−0.307475	−	0.279744i
$69$	10.4009			1.25212
$70$	8.32970	+	0.784957i	0.995589	+	0.0938203i
$71$		−	5.34585i		−	0.634435i	−0.948353	−	0.317218i	$-0.897251\pi$
$71$		−	5.34585i		−	0.634435i	0.948353	−	0.317218i	$-0.102749\pi$
$72$	1.18723	+	1.75647i	0.139916	+	0.207002i
$73$	−0.151531	−	0.565523i	−0.0177354	−	0.0661894i	0.956491	−	0.291762i	$-0.0942415\pi$
$73$	−0.151531	−	0.565523i	−0.0177354	−	0.0661894i	−0.974226	+	0.225572i	$0.927575\pi$
$74$	−4.04280	−	3.85639i	−0.469966	−	0.448296i
$75$	5.03318	+	5.56131i	0.581181	+	0.642165i
$76$	4.03503	+	2.08230i	0.462849	+	0.238857i
$77$	−1.90418	+	5.14536i	−0.217001	+	0.586369i
$78$	−9.69019	+	5.90374i	−1.09720	+	0.668467i
$79$	−3.44100	−	5.95998i	−0.387143	−	0.670551i	0.604921	−	0.796285i	$-0.293205\pi$
$79$	−3.44100	−	5.95998i	−0.387143	−	0.670551i	−0.992064	+	0.125735i	$0.959871\pi$
$80$	1.70964	−	8.77936i	0.191144	−	0.981562i
$81$	−3.09475	+	5.36026i	−0.343861	+	0.595584i
$82$	−2.18719	−	1.19488i	−0.241535	−	0.131953i
$83$	9.12181	−	9.12181i	1.00125	−	1.00125i	0.00124987	−	0.999999i	$-0.499602\pi$
$83$	9.12181	−	9.12181i	1.00125	−	1.00125i	0.999999	−	0.00124987i	$-0.000397847\pi$
$84$	4.27732	−	6.68707i	0.466694	−	0.729619i
$85$	3.36570	−	1.83299i	0.365061	−	0.198815i
$86$	−14.3943	+	4.22333i	−1.55218	+	0.455414i
$87$	3.11050	+	11.6085i	0.333480	+	1.24457i
$88$	5.27411	+	2.56603i	0.562222	+	0.273540i
$89$	−6.29757	+	3.63590i	−0.667541	+	0.385405i	−0.795144	−	0.606420i	$-0.792605\pi$
$89$	−6.29757	+	3.63590i	−0.667541	+	0.385405i	0.127603	+	0.991825i	$0.459272\pi$
$90$	−2.29034	+	0.610481i	−0.241423	+	0.0643503i
$91$	−11.5478	−	8.17882i	−1.21054	−	0.857373i
$92$	13.2098	−	4.21673i	1.37722	−	0.439624i
$93$	1.69011	−	6.30756i	0.175256	−	0.654064i
$94$	−1.13349	−	1.08122i	−0.116910	−	0.111520i
$95$	−3.67797	+	3.49919i	−0.377352	+	0.359009i
$96$	−6.66514	−	5.25263i	−0.680258	−	0.536094i
$97$	−10.7087	−	10.7087i	−1.08731	−	1.08731i	−0.995805	−	0.0915005i	$-0.970834\pi$
$97$	−10.7087	−	10.7087i	−1.08731	−	1.08731i	−0.0915005	−	0.995805i	$-0.529166\pi$
$98$	9.77035	+	1.59380i	0.986955	+	0.160998i
$99$		−	1.55433i		−	0.156216i
$100$	8.64712	+	5.02268i	0.864712	+	0.502268i
$101$	−5.95456	−	3.43786i	−0.592500	−	0.342080i	0.173585	−	0.984819i	$-0.444465\pi$
$101$	−5.95456	−	3.43786i	−0.592500	−	0.342080i	−0.766086	+	0.642739i	$0.777798\pi$
$102$	−0.0857841	−	3.63514i	−0.00849389	−	0.359932i
$103$	−2.99987	+	11.1957i	−0.295586	+	1.10314i	0.645164	+	0.764044i	$0.276789\pi$
$103$	−2.99987	+	11.1957i	−0.295586	+	1.10314i	−0.940751	+	0.339099i	$0.889878\pi$
$104$	−9.91367	+	11.4267i	−0.972115	+	1.12048i
$105$	5.49625	+	6.96827i	0.536379	+	0.680033i
$106$	11.7344	+	2.84928i	1.13974	+	0.276747i
$107$	−2.35888	+	8.80346i	−0.228042	+	0.851063i	0.753122	+	0.657881i	$0.228547\pi$
$107$	−2.35888	+	8.80346i	−0.228042	+	0.851063i	−0.981163	+	0.193181i	$0.938119\pi$
$108$	−2.39584	+	10.9917i	−0.230539	+	1.05768i
$109$	−5.94516	+	10.2973i	−0.569443	+	0.986304i	0.427178	+	0.904167i	$0.359508\pi$
$109$	−5.94516	+	10.2973i	−0.569443	+	0.986304i	−0.996621	+	0.0821366i	$0.973826\pi$
$110$	−4.64293	+	4.63078i	−0.442686	+	0.441528i
$111$		−	5.92663i		−	0.562530i
$112$	2.72141	−	10.2271i	0.257149	−	0.966372i
$113$	12.1159	−	12.1159i	1.13976	−	1.13976i	0.151272	−	0.988492i	$-0.451663\pi$
$113$	12.1159	−	12.1159i	1.13976	−	1.13976i	0.988492	−	0.151272i	$-0.0483369\pi$
$114$	1.35603	+	4.62173i	0.127004	+	0.432864i
$115$	−0.386059	+	15.4984i	−0.0360002	+	1.44524i
$116$	8.65686	+	13.4825i	0.803769	+	1.25182i
$117$	3.87240	+	1.03761i	0.358003	+	0.0959267i
$118$	−7.08259	−	11.6251i	−0.652005	−	1.07018i
$119$	4.12003	−	1.89427i	0.377682	−	0.173648i
$120$	7.99044	−	5.11572i	0.729424	−	0.467000i
$121$	3.34995	+	5.80229i	0.304541	+	0.527481i
$122$	12.0805	−	0.285083i	1.09372	−	0.0258102i
$123$	−0.684251	−	2.55366i	−0.0616968	−	0.230256i
$124$	−0.410665	−	8.69621i	−0.0368788	−	0.780943i
$125$	−8.47375	+	7.29353i	−0.757915	+	0.652353i
$126$	−2.75265	+	0.537230i	−0.245226	+	0.0478603i
$127$	−3.12715	+	3.12715i	−0.277490	+	0.277490i	−0.832106	−	0.554616i	$-0.812865\pi$
$127$	−3.12715	+	3.12715i	−0.277490	+	0.277490i	0.554616	+	0.832106i	$0.312865\pi$
$128$	−10.5947	−	3.96900i	−0.936445	−	0.350813i
$129$	−13.7807	−	7.95631i	−1.21333	−	0.700514i
$130$	−8.43751	−	14.6585i	−0.740018	−	1.28564i
$131$	−1.04516	−	1.81027i	−0.0913159	−	0.158164i	0.816749	−	0.576993i	$-0.195774\pi$
$131$	−1.04516	−	1.81027i	−0.0913159	−	0.158164i	−0.908065	+	0.418829i	$0.862441\pi$
$132$	1.89196	+	5.92697i	0.164674	+	0.515876i
$133$	−4.62212	+	3.83622i	−0.400788	+	0.332642i
$134$	−4.60310	−	1.11770i	−0.397648	−	0.0965549i
$135$	−10.7326	−	6.55811i	−0.923713	−	0.564432i
$136$	−1.58271	−	4.58208i	−0.135716	−	0.392910i
$137$	−0.0139394	+	0.00373506i	−0.00119093	+	0.000319108i	−0.259414	−	0.965766i	$-0.583530\pi$
$137$	−0.0139394	+	0.00373506i	−0.00119093	+	0.000319108i	0.258224	+	0.966085i	$0.416863\pi$
$138$	12.9084	+	7.05198i	1.09884	+	0.600304i
$139$		−	2.69071i		−	0.228223i	−0.993468	−	0.114112i	$-0.963598\pi$
$139$		−	2.69071i		−	0.228223i	0.993468	−	0.114112i	$-0.0364021\pi$
$140$	9.80566	+	6.62186i	0.828729	+	0.559650i
$141$		−	1.66166i		−	0.139937i
$142$	3.62457	−	6.63466i	0.304167	−	0.556768i
$143$	10.7131	−	2.87056i	0.895872	−	0.240048i
$144$	0.282543	+	2.98489i	0.0235453	+	0.248741i
$145$	−17.4134	+	4.20408i	−1.44610	+	0.349130i
$146$	0.195370	−	0.804603i	0.0161689	−	0.0665894i
$147$	5.93021	+	8.66627i	0.489116	+	0.714782i
$148$	−2.40277	−	7.52720i	−0.197506	−	0.618732i
$149$	−6.00081	−	10.3937i	−0.491605	−	0.851485i	0.508348	−	0.861152i	$-0.330256\pi$
$149$	−6.00081	−	10.3937i	−0.491605	−	0.851485i	−0.999953	+	0.00966656i	$0.996923\pi$
$150$	2.47595	+	10.3146i	0.202160	+	0.842187i
$151$	−0.148194	−	0.0855599i	−0.0120599	−	0.00696277i	0.493958	−	0.869486i	$-0.335550\pi$
$151$	−0.148194	−	0.0855599i	−0.0120599	−	0.00696277i	−0.506018	+	0.862523i	$0.668883\pi$
$152$	3.59598	+	5.32013i	0.291673	+	0.431520i
$153$	−0.908412	+	0.908412i	−0.0734408	+	0.0734408i
$154$	−5.85189	+	5.09477i	−0.471559	+	0.410549i
$155$	9.33619	+	2.75256i	0.749901	+	0.221091i
$156$	−16.0292	+	0.756953i	−1.28336	+	0.0606048i
$157$	0.796329	+	2.97194i	0.0635539	+	0.237187i	0.990395	−	0.138268i	$-0.0441534\pi$
$157$	0.796329	+	2.97194i	0.0635539	+	0.237187i	−0.926841	+	0.375454i	$0.877487\pi$
$158$	−0.229612	−	9.72991i	−0.0182669	−	0.774070i
$159$	6.40454	+	11.0930i	0.507913	+	0.879732i
$160$	8.07435	−	9.73678i	0.638334	−	0.769760i
$161$	−1.69708	+	18.2650i	−0.133748	+	1.43948i
$162$	−7.47518	+	4.55425i	−0.587306	+	0.357816i
$163$	0.838533	+	0.224684i	0.0656790	+	0.0175986i	0.291509	−	0.956568i	$-0.405843\pi$
$163$	0.838533	+	0.224684i	0.0656790	+	0.0175986i	−0.225830	+	0.974167i	$0.572509\pi$
$164$	−1.90434	−	2.96590i	−0.148704	−	0.231598i
$165$	−6.95382	−	0.173217i	−0.541354	−	0.0134849i
$166$	17.5057	−	5.13622i	1.35870	−	0.398648i
$167$	10.5373	−	10.5373i	0.815405	−	0.815405i	−0.170034	−	0.985438i	$-0.554388\pi$
$167$	10.5373	−	10.5373i	0.815405	−	0.815405i	0.985438	+	0.170034i	$0.0543876\pi$
$168$	9.84247	−	5.39913i	0.759363	−	0.416552i
$169$			15.6063i			1.20049i
$170$	5.41992	+	0.00710142i	0.415689	+	0.000544654i
$171$	0.850868	−	1.47375i	0.0650675	−	0.112700i
$172$	−20.7281	−	4.51805i	−1.58050	−	0.344498i
$173$	−4.37676	+	16.3343i	−0.332759	+	1.24187i	0.573520	+	0.819192i	$0.305578\pi$
$173$	−4.37676	+	16.3343i	−0.332759	+	1.24187i	−0.906278	+	0.422681i	$0.861089\pi$
$174$	−4.01038	+	16.5162i	−0.304026	+	1.25209i
$175$	−10.5874	+	7.93133i	−0.800336	+	0.599552i
$176$	4.80582	+	6.76059i	0.362252	+	0.509599i
$177$	3.73732	−	13.9479i	0.280914	−	1.04839i
$178$	−10.2810	+	0.242617i	−0.770595	+	0.0181849i
$179$	−7.00502	−	4.04435i	−0.523579	−	0.302289i	0.214818	−	0.976654i	$-0.431084\pi$
$179$	−7.00502	−	4.04435i	−0.523579	−	0.302289i	−0.738398	+	0.674365i	$0.764417\pi$
$180$	−3.25643	−	0.795230i	−0.242720	−	0.0592730i
$181$			8.36290i			0.621609i	0.950474	+	0.310805i	$0.100599\pi$
$181$			8.36290i			0.621609i	−0.950474	+	0.310805i	$0.899401\pi$
$182$	−8.78643	−	17.9802i	−0.651294	−	1.33278i
$183$	9.06379	+	9.06379i	0.670015	+	0.670015i
$184$	19.2535	+	3.72314i	1.41939	+	0.274474i
$185$	8.83128	+	0.219984i	0.649289	+	0.0161735i
$186$	6.37420	−	6.68231i	0.467379	−	0.489971i
$187$	−0.919874	+	3.43302i	−0.0672678	+	0.251047i
$188$	−0.673668	−	2.11041i	−0.0491323	−	0.153918i
$189$	−12.1446	−	8.60148i	−0.883386	−	0.625666i
$190$	−6.93718	+	1.84907i	−0.503276	+	0.134146i
$191$	1.50699	−	0.870062i	0.109042	−	0.0629555i	−0.444487	−	0.895785i	$-0.646614\pi$
$191$	1.50699	−	0.870062i	0.109042	−	0.0629555i	0.553529	+	0.832830i	$0.313281\pi$
$192$	−4.71064	−	11.0380i	−0.339961	−	0.796601i
$193$	6.38935	+	23.8454i	0.459916	+	1.71643i	0.673220	+	0.739443i	$0.264911\pi$
$193$	6.38935	+	23.8454i	0.459916	+	1.71643i	−0.213304	+	0.976986i	$0.568423\pi$
$194$	−6.02976	−	20.5511i	−0.432912	−	1.47548i
$195$	5.07362	−	17.2088i	0.363329	−	1.23235i
$196$	11.0452	+	8.60250i	0.788945	+	0.614464i
$197$	−4.28848	+	4.28848i	−0.305542	+	0.305542i	−0.843177	−	0.537636i	$-0.819318\pi$
$197$	−4.28848	+	4.28848i	−0.305542	+	0.305542i	0.537636	+	0.843177i	$0.319318\pi$
$198$	1.05386	−	1.92906i	0.0748947	−	0.137092i
$199$	10.1676	−	17.6107i	0.720760	−	1.24839i	−0.239936	−	0.970789i	$-0.577126\pi$
$199$	10.1676	−	17.6107i	0.720760	−	1.24839i	0.960696	−	0.277604i	$-0.0895403\pi$
$200$	7.32637	+	12.0965i	0.518052	+	0.855349i
$201$	−2.51235	−	4.35151i	−0.177207	−	0.306932i
$202$	−5.05919	−	8.30397i	−0.355963	−	0.584265i
$203$	−20.8932	+	3.56821i	−1.46642	+	0.250439i
$204$	2.35822	−	4.56968i	0.165108	−	0.319942i
$205$	3.83061	−	0.924818i	0.267542	−	0.0645921i
$206$	−11.3139	+	11.8608i	−0.788280	+	0.826384i
$207$	−1.34505	−	5.01979i	−0.0934874	−	0.348900i
$208$	−20.0512	+	7.45992i	−1.39030	+	0.517253i
$209$		−	4.70789i		−	0.325652i
$210$	2.09672	+	12.3748i	0.144687	+	0.853940i
$211$	−14.9290			−1.02775			−0.513877	−	0.857864i	$-0.671791\pi$
$211$	−14.9290			−1.02775			−0.513877	+	0.857864i	$0.671791\pi$
$212$	12.6315	+	11.4923i	0.867535	+	0.789294i
$213$	7.74630	−	2.07562i	0.530768	−	0.142219i
$214$	−8.89646	+	9.32649i	−0.608149	+	0.637546i
$215$	12.3672	−	20.2394i	0.843438	−	1.38032i
$216$	−10.4260	+	12.0172i	−0.709398	+	0.817669i
$217$	10.8009	+	3.99717i	0.733215	+	0.271346i
$218$	−14.3602	+	8.74894i	−0.972595	+	0.592553i
$219$	0.760626	−	0.439147i	0.0513983	−	0.0296748i
$220$	−8.90202	+	2.59922i	−0.600174	+	0.175239i
$221$	−7.93880	−	4.58347i	−0.534022	−	0.308317i
$222$	4.01835	−	7.35545i	0.269694	−	0.493666i
$223$	15.3643	+	15.3643i	1.02887	+	1.02887i	0.999571	+	0.0292986i	$0.00932737\pi$
$223$	15.3643	+	15.3643i	1.02887	+	1.02887i	0.0292986	+	0.999571i	$0.490673\pi$
$224$	10.3117	−	10.8476i	0.688976	−	0.724784i
$225$	2.03317	−	3.14836i	0.135544	−	0.209890i
$226$	23.2516	−	6.82208i	1.54667	−	0.453798i
$227$	−2.20153	+	0.589897i	−0.146120	+	0.0391528i	−0.331138	−	0.943582i	$-0.607433\pi$
$227$	−2.20153	+	0.589897i	−0.146120	+	0.0391528i	0.185017	+	0.982735i	$0.440766\pi$
$228$	−1.45066	+	6.65537i	−0.0960720	+	0.440763i
$229$	2.58512	+	4.47756i	0.170830	+	0.295886i	0.938710	−	0.344707i	$-0.112022\pi$
$229$	2.58512	+	4.47756i	0.170830	+	0.295886i	−0.767881	+	0.640593i	$0.778689\pi$
$230$	−10.9873	+	18.9731i	−0.724482	+	1.25105i
$231$	−8.19512	−	0.761443i	−0.539199	−	0.0500993i
$232$	1.60254	+	22.6025i	0.105212	+	1.48392i
$233$	−2.09898	−	0.562420i	−0.137509	−	0.0368454i	0.189408	−	0.981898i	$-0.439343\pi$
$233$	−2.09898	−	0.562420i	−0.137509	−	0.0368454i	−0.326917	+	0.945053i	$0.606010\pi$
$234$	4.10246	+	3.91330i	0.268187	+	0.255821i
$235$	2.47604	+	0.0616771i	0.161519	+	0.00402337i
$236$	−0.908100	−	19.2299i	−0.0591123	−	1.25176i
$237$	7.30018	−	7.30018i	0.474198	−	0.474198i
$238$	6.39765	+	0.442487i	0.414698	+	0.0286822i
$239$	11.9844			0.775206			0.387603	−	0.921826i	$-0.373303\pi$
$239$	11.9844			0.775206			0.387603	+	0.921826i	$0.373303\pi$
$240$	13.3854	−	0.931411i	0.864021	−	0.0601223i
$241$	7.04995	−	12.2109i	0.454127	−	0.786571i	−0.544510	−	0.838754i	$-0.683285\pi$
$241$	7.04995	−	12.2109i	0.454127	−	0.786571i	0.998638	+	0.0521828i	$0.0166179\pi$
$242$	0.223536	+	9.47246i	0.0143695	+	0.608913i
$243$	7.33091	+	1.96431i	0.470278	+	0.126011i
$244$	15.1862	+	7.83696i	0.972199	+	0.501710i
$245$	−13.1338	+	8.51495i	−0.839085	+	0.544000i
$246$	0.882207	−	3.63324i	0.0562474	−	0.231647i
$247$	11.7290	+	3.14279i	0.746301	+	0.199971i
$248$	5.38650	−	11.0712i	0.342043	−	0.703021i
$249$	16.7595	+	9.67610i	1.06209	+	0.613198i
$250$	−15.4618	+	3.30656i	−0.977889	+	0.209125i
$251$	−2.13569			−0.134804			−0.0674019	−	0.997726i	$-0.521471\pi$
$251$	−2.13569			−0.134804			−0.0674019	+	0.997726i	$0.521471\pi$
$252$	−3.78053	−	1.19959i	−0.238151	−	0.0755672i
$253$	−10.1663	−	10.1663i	−0.639147	−	0.639147i
$254$	−6.00132	+	1.76081i	−0.376556	+	0.110483i
$255$	3.96285	+	4.16532i	0.248163	+	0.260842i
$256$	−10.4579	−	12.1092i	−0.653616	−	0.756826i
$257$	7.23890	−	27.0159i	0.451550	−	1.68521i	−0.246487	−	0.969146i	$-0.579276\pi$
$257$	7.23890	−	27.0159i	0.451550	−	1.68521i	0.698037	−	0.716062i	$-0.254057\pi$
$258$	−11.7086	−	19.2180i	−0.728944	−	1.19646i
$259$	10.4077	+	0.967026i	0.646705	+	0.0600881i
$260$	−0.532969	−	23.9132i	−0.0330534	−	1.48304i
$261$	5.20038	−	3.00244i	0.321896	−	0.185846i
$262$	−0.0697416	−	2.95533i	−0.00430865	−	0.182581i
$263$	−15.5334	+	4.16216i	−0.957831	+	0.256650i	−0.703682	−	0.710515i	$-0.748462\pi$
$263$	−15.5334	+	4.16216i	−0.957831	+	0.256650i	−0.254149	+	0.967165i	$0.581795\pi$
$264$	−1.67050	+	8.63866i	−0.102812	+	0.531673i
$265$	−16.7674	+	9.13168i	−1.03002	+	0.560955i
$266$	−8.33746	+	1.62721i	−0.511202	+	0.0997705i
$267$	−7.71367	−	7.71367i	−0.472069	−	0.472069i
$268$	−4.95503	−	4.50814i	−0.302677	−	0.275379i
$269$	2.62803	−	4.55187i	0.160234	−	0.277533i	−0.774719	−	0.632306i	$-0.782109\pi$
$269$	2.62803	−	4.55187i	0.160234	−	0.277533i	0.934952	+	0.354773i	$0.115442\pi$
$270$	−8.87354	−	15.4160i	−0.540026	−	0.938190i
$271$	5.39299	−	3.11364i	0.327601	−	0.189140i	−0.327175	−	0.944964i	$-0.606097\pi$
$271$	5.39299	−	3.11364i	0.327601	−	0.189140i	0.654775	+	0.755823i	$0.272763\pi$
$272$	1.14245	−	6.75986i	0.0692711	−	0.409877i
$273$	7.36774	−	19.9087i	0.445916	−	1.20493i
$274$	−0.0198325	−	0.00481563i	−0.00119812	−	0.000290923i
$275$	0.516221	−	10.3555i	0.0311293	−	0.624459i
$276$	11.2391	+	17.5042i	0.676515	+	1.05363i
$277$	1.39658	+	5.21209i	0.0839121	+	0.313164i	0.995106	−	0.0988136i	$-0.0315048\pi$
$277$	1.39658	+	5.21209i	0.0839121	+	0.313164i	−0.911194	+	0.411978i	$0.864838\pi$
$278$	1.82434	−	3.33940i	0.109417	−	0.200284i
$279$	−3.26279			−0.195338
$280$	7.67994	+	14.8667i	0.458964	+	0.888455i
$281$	28.1583			1.67978			0.839892	−	0.542753i	$-0.182618\pi$
$281$	28.1583			1.67978			0.839892	+	0.542753i	$0.182618\pi$
$282$	1.12663	−	2.06226i	0.0670898	−	0.122806i
$283$	−5.84252	−	21.8046i	−0.347302	−	1.29615i	−0.889900	−	0.456156i	$-0.849226\pi$
$283$	−5.84252	−	21.8046i	−0.347302	−	1.29615i	0.542598	−	0.839992i	$-0.317441\pi$
$284$	8.99680	−	5.77667i	0.533862	−	0.342782i
$285$	−6.49847	−	3.97087i	−0.384936	−	0.235214i
$286$	15.2421	+	3.70102i	0.901286	+	0.218846i
$287$	4.59612	−	0.784939i	0.271300	−	0.0463335i
$288$	−1.67314	+	3.89607i	−0.0985907	+	0.229578i
$289$	−12.1784	+	7.03122i	−0.716378	+	0.413601i
$290$	−24.4619	−	6.58892i	−1.43645	−	0.386915i
$291$	11.3594	−	19.6751i	0.665901	−	1.15338i
$292$	0.788005	−	0.866118i	0.0461145	−	0.0506857i
$293$	−20.5621	−	20.5621i	−1.20125	−	1.20125i	−0.973786	−	0.227467i	$-0.926956\pi$
$293$	−20.5621	−	20.5621i	−1.20125	−	1.20125i	−0.227467	−	0.973786i	$-0.573044\pi$
$294$	1.48403	+	14.7764i	0.0865505	+	0.861775i
$295$	20.6450	+	6.08670i	1.20200	+	0.354382i
$296$	2.12151	−	10.9710i	0.123310	−	0.637677i
$297$	11.2667	−	3.01890i	0.653760	−	0.175175i
$298$	−0.400423	−	16.9681i	−0.0231959	−	0.982937i
$299$	32.1143	−	18.5412i	1.85722	−	1.07227i
$300$	−3.92063	+	14.4801i	−0.226357	+	0.836008i
$301$	16.2206	−	22.9021i	0.934940	−	1.32005i
$302$	−0.125911	−	0.206665i	−0.00724535	−	0.0118922i
$303$	2.66962	−	9.96315i	0.153365	−	0.572368i
$304$	0.855791	+	9.04087i	0.0490830	+	0.518530i
$305$	−13.8424	+	13.1696i	−0.792614	+	0.754087i
$306$	−1.74334	+	0.511500i	−0.0996599	+	0.0292405i
$307$	15.5640	+	15.5640i	0.888287	+	0.888287i	0.994358	−	0.106072i	$-0.0338273\pi$
$307$	15.5640	+	15.5640i	0.888287	+	0.888287i	−0.106072	+	0.994358i	$0.533827\pi$
$308$	−10.7170	+	2.35538i	−0.610660	+	0.134210i
$309$	−17.3876			−0.989148
$310$	9.72074	+	9.74624i	0.552101	+	0.553549i
$311$	−8.37017	−	4.83252i	−0.474629	−	0.274027i	0.243547	−	0.969889i	$-0.421689\pi$
$311$	−8.37017	−	4.83252i	−0.474629	−	0.274027i	−0.718175	+	0.695862i	$0.755022\pi$
$312$	−20.4068	−	9.92860i	−1.15531	−	0.562096i
$313$	1.37739	+	0.369070i	0.0778546	+	0.0208611i	0.297536	−	0.954711i	$-0.403835\pi$
$313$	1.37739	+	0.369070i	0.0778546	+	0.0208611i	−0.219681	+	0.975572i	$0.570502\pi$
$314$	−1.02671	+	4.22836i	−0.0579406	+	0.238620i
$315$	2.65232	−	3.55379i	0.149441	−	0.200234i
$316$	6.31206	−	12.2313i	0.355081	−	0.688066i
$317$	−29.0824	−	7.79260i	−1.63343	−	0.437676i	−0.678522	−	0.734580i	$-0.737379\pi$
$317$	−29.0824	−	7.79260i	−1.63343	−	0.437676i	−0.954907	+	0.296904i	$0.904046\pi$
$318$	0.427364	+	18.1097i	0.0239654	+	1.01554i
$319$	8.30632	−	14.3870i	0.465065	−	0.805516i
$320$	16.6227	−	6.60964i	0.929235	−	0.369490i
$321$	−13.6724			−0.763117
$322$	−14.4902	+	21.5178i	−0.807506	+	1.19914i
$323$	−2.75147	+	2.75147i	−0.153096	+	0.153096i
$324$	−12.3652	+	0.583927i	−0.686956	+	0.0324404i
$325$	25.4546	+	8.19896i	1.41197	+	0.454797i
$326$	0.888352	+	0.847391i	0.0492013	+	0.0469326i
$327$	−17.2294	−	4.61662i	−0.952790	−	0.255299i
$328$	−0.352528	−	4.97211i	−0.0194651	−	0.274539i
$329$	2.91803	+	0.271126i	0.160876	+	0.0149477i
$330$	−8.51284	−	4.92977i	−0.468617	−	0.271375i
$331$	10.5349	+	18.2469i	0.579048	+	1.00294i	0.995589	+	0.0938236i	$0.0299090\pi$
$331$	10.5349	+	18.2469i	0.579048	+	1.00294i	−0.416541	+	0.909117i	$0.636758\pi$
$332$	25.2085	+	5.49464i	1.38350	+	0.301558i
$333$	−2.86037	+	0.766434i	−0.156747	+	0.0420003i
$334$	20.2222	−	5.93327i	1.10651	−	0.324654i
$335$	6.57745	−	3.58214i	0.359365	−	0.195713i
$336$	15.8760	−	0.0274422i	0.866109	−	0.00149710i
$337$	−23.3527	−	23.3527i	−1.27210	−	1.27210i	−0.944982	−	0.327122i	$-0.893921\pi$
$337$	−23.3527	−	23.3527i	−1.27210	−	1.27210i	−0.327122	−	0.944982i	$-0.606079\pi$
$338$	−10.5814	+	19.3688i	−0.575550	+	1.05353i
$339$	22.2604	+	12.8521i	1.20902	+	0.698029i
$340$	6.72177	+	3.68360i	0.364539	+	0.199771i
$341$	−7.81724	+	4.51329i	−0.423327	+	0.244408i
$342$	2.05522	−	1.25214i	0.111134	−	0.0677082i
$343$	−16.1864	+	8.99998i	−0.873985	+	0.485953i
$344$	−22.6620	−	19.6612i	−1.22185	−	1.06006i
$345$	−22.6076	+	5.45811i	−1.21715	+	0.293855i
$346$	−16.5068	+	17.3047i	−0.887413	+	0.930309i
$347$	8.65562	−	2.31927i	0.464658	−	0.124505i	−0.0188919	−	0.999822i	$-0.506014\pi$
$347$	8.65562	−	2.31927i	0.464658	−	0.124505i	0.483550	+	0.875317i	$0.339347\pi$
$348$	−16.1754	+	17.7789i	−0.867094	+	0.953048i
$349$	24.0045			1.28493			0.642465	−	0.766315i	$-0.277912\pi$
$349$	24.0045			1.28493			0.642465	+	0.766315i	$0.277912\pi$
$350$	−18.5175	+	2.66500i	−0.989802	+	0.142450i
$351$			30.0847i			1.60580i
$352$	1.38064	+	11.6489i	0.0735885	+	0.620888i
$353$	−2.75717	−	10.2899i	−0.146749	−	0.547675i	−0.999671	−	0.0256371i	$-0.991839\pi$
$353$	−2.75717	−	10.2899i	−0.146749	−	0.547675i	0.852922	−	0.522038i	$-0.174828\pi$
$354$	14.0952	−	14.7765i	0.749151	−	0.785364i
$355$	2.80535	+	11.6198i	0.148893	+	0.616717i
$356$	−12.9241	−	6.66959i	−0.684978	−	0.353487i
$357$	4.34453	+	5.23456i	0.229937	+	0.277043i
$358$	−5.95170	−	9.76890i	−0.314557	−	0.516302i
$359$	4.51889	+	7.82694i	0.238498	+	0.413090i	0.960283	−	0.279026i	$-0.0900117\pi$
$359$	4.51889	+	7.82694i	0.238498	+	0.413090i	−0.721786	+	0.692117i	$0.756678\pi$
$360$	−3.50233	−	3.19486i	−0.184589	−	0.168384i
$361$	−6.92282	+	11.9907i	−0.364359	+	0.631088i
$362$	−5.67018	+	10.3791i	−0.298018	+	0.545512i
$363$	−7.10702	+	7.10702i	−0.373022	+	0.373022i
$364$	1.28614	−	28.2723i	0.0674121	−	1.48187i
$365$	0.626142	+	1.14971i	0.0327738	+	0.0601786i
$366$	5.10355	+	17.3943i	0.266767	+	0.909217i
$367$	−3.43987	−	12.8378i	−0.179560	−	0.670126i	−0.995730	−	0.0923143i	$-0.970574\pi$
$367$	−3.43987	−	12.8378i	−0.179560	−	0.670126i	0.816170	−	0.577811i	$-0.196093\pi$
$368$	21.3709	+	17.6749i	1.11404	+	0.921370i
$369$	−1.14399	+	0.660480i	−0.0595535	+	0.0343832i
$370$	10.8112	+	6.26077i	0.562049	+	0.325482i
$371$	−20.5254	+	9.43700i	−1.06562	+	0.489944i
$372$	12.4416	−	3.97152i	0.645069	−	0.205914i
$373$	−0.414727	+	1.54778i	−0.0214737	+	0.0801411i	−0.975831	−	0.218526i	$-0.929875\pi$
$373$	−0.414727	+	1.54778i	−0.0214737	+	0.0801411i	0.954357	+	0.298667i	$0.0965419\pi$
$374$	−3.46928	+	3.63698i	−0.179392	+	0.188064i
$375$	−13.8586	−	9.44689i	−0.715656	−	0.487836i
$376$	0.594812	−	3.07596i	0.0306751	−	0.158630i
$377$	30.2981	+	30.2981i	1.56043	+	1.56043i
$378$	−9.24050	−	18.9094i	−0.475280	−	0.972593i
$379$			24.3327i			1.24989i	0.780669	+	0.624944i	$0.214878\pi$
$379$			24.3327i			1.24989i	−0.780669	+	0.624944i	$0.785122\pi$
$380$	−9.86334	−	2.40866i	−0.505979	−	0.123562i
$381$	−5.74551	−	3.31717i	−0.294351	−	0.169944i
$382$	2.46022	−	0.0580577i	0.125876	−	0.00297049i
$383$	1.11065	−	4.14500i	0.0567515	−	0.211800i	−0.931727	−	0.363159i	$-0.881698\pi$
$383$	1.11065	−	4.14500i	0.0567515	−	0.211800i	0.988479	+	0.151359i	$0.0483650\pi$
$384$	1.63765	−	16.8930i	0.0835708	−	0.862069i
$385$	1.43881	−	12.1833i	0.0733288	−	0.620919i
$386$	−8.23781	+	33.9263i	−0.419294	+	1.72680i
$387$	−2.05783	+	7.67991i	−0.104605	+	0.390392i
$388$	6.45053	−	29.5940i	0.327476	−	1.50241i
$389$	−7.07499	+	12.2542i	−0.358716	+	0.621315i	−0.987747	−	0.156066i	$-0.950119\pi$
$389$	−7.07499	+	12.2542i	−0.358716	+	0.621315i	0.629030	+	0.777381i	$0.283452\pi$
$390$	17.9646	−	17.9176i	0.909675	−	0.907294i
$391$			11.8831i			0.600955i
$392$	7.87544	+	18.1653i	0.397770	+	0.917485i
$393$	2.21733	−	2.21733i	0.111850	−	0.111850i
$394$	−8.23003	+	2.41472i	−0.414623	+	0.121652i
$395$	10.6071	+	11.1490i	0.533699	+	0.560966i
$396$	2.61587	−	1.67959i	0.131452	−	0.0844028i
$397$	−13.6314	−	3.65251i	−0.684139	−	0.183314i	−0.100023	−	0.994985i	$-0.531892\pi$
$397$	−13.6314	−	3.65251i	−0.684139	−	0.183314i	−0.584115	+	0.811671i	$0.698558\pi$
$398$	24.5592	−	14.9627i	1.23104	−	0.750011i
$399$	−7.35341	−	5.20812i	−0.368131	−	0.260732i
$400$	0.891063	+	19.9801i	0.0445531	+	0.999007i
$401$	12.1951	+	21.1225i	0.608993	+	1.05481i	0.991407	+	0.130815i	$0.0417595\pi$
$401$	12.1951	+	21.1225i	0.608993	+	1.05481i	−0.382414	+	0.923991i	$0.624907\pi$
$402$	−0.167644	−	7.10401i	−0.00836135	−	0.354316i
$403$	−6.02575	−	22.4884i	−0.300164	−	1.12023i
$404$	−0.648668	−	13.7361i	−0.0322724	−	0.683399i
$405$	3.91388	−	13.2752i	0.194482	−	0.659649i
$406$	−28.3496	−	9.73749i	−1.40697	−	0.483263i
$407$	−5.79292	+	5.79292i	−0.287144	+	0.287144i
$408$	6.02507	−	4.07246i	0.298285	−	0.201617i
$409$	−2.36852	−	1.36747i	−0.117116	−	0.0676168i	0.440298	−	0.897852i	$-0.354873\pi$
$409$	−2.36852	−	1.36747i	−0.117116	−	0.0676168i	−0.557414	+	0.830235i	$0.688206\pi$
$410$	5.38116	+	1.44944i	0.265757	+	0.0715826i
$411$	−0.0108244	−	0.0187485i	−0.000533930	−	0.000924794i
$412$	−22.0834	+	7.04929i	−1.08797	+	0.347293i
$413$	23.8840	+	8.83891i	1.17525	+	0.434934i
$414$	1.73418	−	7.14196i	0.0852301	−	0.351008i
$415$	−15.0405	+	24.6142i	−0.738307	+	1.20826i
$416$	−29.9432	−	4.33663i	−1.46809	−	0.212621i
$417$	3.89892	−	1.04471i	0.190931	−	0.0511598i
$418$	3.19202	−	5.84290i	0.156127	−	0.285785i
$419$		−	9.10424i		−	0.444771i	−0.974959	−	0.222386i	$-0.928616\pi$
$419$		−	9.10424i		−	0.444771i	0.974959	−	0.222386i	$-0.0713844\pi$
$420$	−5.78808	+	16.7798i	−0.282429	+	0.818768i
$421$			7.13111i			0.347549i	0.984785	+	0.173775i	$0.0555964\pi$
$421$			7.13111i			0.347549i	−0.984785	+	0.173775i	$0.944404\pi$
$422$	−18.5282	−	10.1221i	−0.901937	−	0.492736i
$423$	−0.801966	+	0.214886i	−0.0389929	+	0.0104481i
$424$	7.88482	+	22.8273i	0.382921	+	1.10859i
$425$	−6.35384	+	5.75044i	−0.308207	+	0.278937i
$426$	11.0211	+	2.67610i	0.533975	+	0.129657i
$427$	−17.3958	+	14.4380i	−0.841842	+	0.698703i
$428$	−17.3648	+	5.54304i	−0.839358	+	0.267933i
$429$	8.31906	+	14.4090i	0.401648	+	0.695675i
$430$	29.0714	−	16.7336i	1.40195	−	0.806968i
$431$	18.0479	+	10.4200i	0.869339	+	0.501913i	0.867128	−	0.498085i	$-0.165963\pi$
$431$	18.0479	+	10.4200i	0.869339	+	0.501913i	0.00221040	+	0.999998i	$0.499296\pi$
$432$	−21.0874	+	7.84544i	−1.01457	+	0.377464i
$433$	−7.47538	+	7.47538i	−0.359244	+	0.359244i	−0.863534	−	0.504290i	$-0.831754\pi$
$433$	−7.47538	+	7.47538i	−0.359244	+	0.359244i	0.504290	+	0.863534i	$0.331754\pi$
$434$	10.6947	+	12.2840i	0.513364	+	0.589653i
$435$	−12.8529	−	23.6002i	−0.616248	−	1.13154i
$436$	−23.7542	+	1.12175i	−1.13762	+	0.0537222i
$437$	−4.07400	−	15.2044i	−0.194886	−	0.727324i
$438$	1.24175	−	0.0293035i	0.0593332	−	0.00140018i
$439$	−7.40260	−	12.8217i	−0.353307	−	0.611945i	0.633520	−	0.773726i	$-0.281609\pi$
$439$	−7.40260	−	12.8217i	−0.353307	−	0.611945i	−0.986827	+	0.161781i	$0.948276\pi$
$440$	−12.8105	−	2.80986i	−0.610716	−	0.133955i
$441$	3.41571	−	3.98283i	0.162653	−	0.189658i
$442$	−6.74507	−	11.0711i	−0.320830	−	0.526599i
$443$	−15.0133	−	4.02280i	−0.713303	−	0.191129i	−0.116121	−	0.993235i	$-0.537046\pi$
$443$	−15.0133	−	4.02280i	−0.713303	−	0.191129i	−0.597182	+	0.802106i	$0.703713\pi$
$444$	9.97423	−	6.40425i	0.473356	−	0.303932i
$445$	11.7805	−	11.2079i	0.558448	−	0.531303i
$446$	8.65118	+	29.4856i	0.409645	+	1.39619i
$447$	12.7309	−	12.7309i	0.602150	−	0.602150i
$448$	20.1525	−	6.47131i	0.952115	−	0.305741i
$449$		−	20.0367i		−	0.945588i	−0.881173	−	0.472794i	$-0.843245\pi$
$449$		−	20.0367i		−	0.945588i	0.881173	−	0.472794i	$-0.156755\pi$
$450$	4.65797	−	2.52886i	0.219579	−	0.119212i
$451$	−1.82723	+	3.16486i	−0.0860411	+	0.149027i
$452$	33.4827	+	7.29814i	1.57489	+	0.343276i
$453$	0.0664402	−	0.247958i	0.00312163	−	0.0116501i
$454$	−3.13224	−	0.760556i	−0.147003	−	0.0356947i
$455$	29.3925	+	11.7177i	1.37794	+	0.549332i
$456$	−6.31284	+	7.27632i	−0.295626	+	0.340745i
$457$	2.62323	−	9.79003i	0.122710	−	0.457958i	−0.877038	−	0.480421i	$-0.840484\pi$
$457$	2.62323	−	9.79003i	0.122710	−	0.457958i	0.999748	+	0.0224625i	$0.00715063\pi$
$458$	0.172501	+	7.30979i	0.00806042	+	0.341564i
$459$	−8.34906	−	4.82033i	−0.389701	−	0.224994i
$460$	−26.5003	+	16.0977i	−1.23558	+	0.750560i
$461$			30.2196i			1.40747i	0.710463	+	0.703735i	$0.248486\pi$
$461$			30.2196i			1.40747i	−0.710463	+	0.703735i	$0.751514\pi$
$462$	−9.65458	−	6.50144i	−0.449172	−	0.302474i
$463$	−24.0778	−	24.0778i	−1.11899	−	1.11899i	−0.991890	−	0.127101i	$-0.959433\pi$
$463$	−24.0778	−	24.0778i	−1.11899	−	1.11899i	−0.127101	−	0.991890i	$-0.540567\pi$
$464$	−13.3359	+	29.1382i	−0.619106	+	1.35270i
$465$	−0.363609	+	14.5972i	−0.0168620	+	0.676927i
$466$	−2.22368	−	2.12115i	−0.103010	−	0.0982605i
$467$	−8.25570	+	30.8107i	−0.382028	+	1.42575i	0.460770	+	0.887519i	$0.347573\pi$
$467$	−8.25570	+	30.8107i	−0.382028	+	1.42575i	−0.842799	+	0.538229i	$0.819094\pi$
$468$	2.43823	+	7.63828i	0.112707	+	0.353080i
$469$	8.05160	−	3.70190i	0.371789	−	0.170938i
$470$	3.03116	+	1.75534i	0.139817	+	0.0809678i
$471$	−3.99724	+	2.30781i	−0.184183	+	0.106338i
$472$	11.9111	−	24.4816i	0.548254	−	1.12686i
$473$	5.69302	+	21.2467i	0.261765	+	0.976922i
$474$	14.0098	−	4.11051i	0.643491	−	0.188802i
$475$	6.15822	−	9.53600i	0.282559	−	0.437542i
$476$	7.64003	+	4.88688i	0.350180	+	0.223990i
$477$	4.52558	−	4.52558i	0.207212	−	0.207212i
$478$	14.8737	+	8.12561i	0.680305	+	0.371657i
$479$	−16.9392	+	29.3395i	−0.773971	+	1.34056i	0.161399	+	0.986889i	$0.448399\pi$
$479$	−16.9392	+	29.3395i	−0.773971	+	1.34056i	−0.935371	+	0.353669i	$0.884934\pi$
$480$	17.2439	+	7.91952i	0.787073	+	0.361475i
$481$	−10.5651	−	18.2993i	−0.481728	−	0.834378i
$482$	17.0288	−	10.3748i	0.775639	−	0.472558i
$483$	−27.1255	+	4.63257i	−1.23425	+	0.210789i
$484$	−6.14505	+	11.9077i	−0.279320	+	0.541259i
$485$	28.8963	+	17.6570i	1.31211	+	0.801764i
$486$	7.76646	+	7.40835i	0.352294	+	0.336050i
$487$	7.15944	+	26.7194i	0.324425	+	1.21077i	0.914888	+	0.403707i	$0.132279\pi$
$487$	7.15944	+	26.7194i	0.324425	+	1.21077i	−0.590463	+	0.807065i	$0.701055\pi$
$488$	13.5338	+	20.0228i	0.612648	+	0.906392i
$489$			1.30230i			0.0588919i
$490$	−22.0734	+	1.66289i	−0.997174	+	0.0751219i
$491$	0.136113			0.00614271			0.00307136	−	0.999995i	$-0.499022\pi$
$491$	0.136113			0.00614271			0.00307136	+	0.999995i	$0.499022\pi$
$492$	3.55829	−	3.91102i	0.160420	−	0.176322i
$493$	−13.2628	+	3.55377i	−0.597328	+	0.160054i
$494$	12.4259	+	11.8529i	0.559067	+	0.533289i
$495$	0.815671	+	3.37852i	0.0366617	+	0.151853i
$496$	14.1916	−	10.0882i	0.637219	−	0.452972i
$497$	2.38105	+	13.9419i	0.106804	+	0.625381i
$498$	14.2394	+	23.3721i	0.638084	+	1.04733i
$499$	−0.423881	+	0.244728i	−0.0189755	+	0.0109555i	−0.509458	−	0.860496i	$-0.670154\pi$
$499$	−0.423881	+	0.244728i	−0.0189755	+	0.0109555i	0.490482	+	0.871451i	$0.336821\pi$
$500$	−21.4313	−	6.37961i	−0.958437	−	0.285305i
$501$	19.3603	+	11.1776i	0.864952	+	0.499380i
$502$	−2.65058	−	1.44803i	−0.118301	−	0.0646290i
$503$	−12.8130	−	12.8130i	−0.571302	−	0.571302i	0.361190	−	0.932492i	$-0.382371\pi$
$503$	−12.8130	−	12.8130i	−0.571302	−	0.571302i	−0.932492	+	0.361190i	$0.882371\pi$
$504$	−3.87862	−	4.05206i	−0.172767	−	0.180493i
$505$	14.7470	+	4.34781i	0.656234	+	0.193475i
$506$	−5.72432	−	19.5101i	−0.254477	−	0.867329i
$507$	−22.6141	+	6.05943i	−1.00433	+	0.269109i
$508$	−8.64201	−	1.88368i	−0.383427	−	0.0835747i
$509$	3.81518	+	6.60809i	0.169105	+	0.292899i	0.938105	−	0.346350i	$-0.112579\pi$
$509$	3.81518	+	6.60809i	0.169105	+	0.292899i	−0.769000	+	0.639248i	$0.779246\pi$
$510$	2.09408	+	7.85639i	0.0927276	+	0.347887i
$511$	0.647077	+	1.40739i	0.0286250	+	0.0622591i
$512$	−4.76885	−	22.1192i	−0.210755	−	0.977539i
$513$	12.3352	+	3.30520i	0.544611	+	0.145928i
$514$	27.3013	−	28.6210i	1.20421	−	1.26242i
$515$	0.645392	−	25.9094i	0.0284394	−	1.14170i
$516$	−1.50122	−	31.7898i	−0.0660877	−	1.39947i
$517$	−1.62417	+	1.62417i	−0.0714309	+	0.0714309i
$518$	12.2612	+	8.25677i	0.538727	+	0.362781i
$519$	−25.3682			−1.11354
$520$	15.5521	−	30.0397i	0.682004	−	1.31733i
$521$	4.44274	−	7.69505i	0.194640	−	0.337126i	−0.752143	−	0.659000i	$-0.770980\pi$
$521$	4.44274	−	7.69505i	0.194640	−	0.337126i	0.946782	+	0.321874i	$0.104313\pi$
$522$	8.48982	−	0.200348i	0.371590	−	0.00876898i
$523$	35.9915	+	9.64389i	1.57380	+	0.421698i	0.936999	−	0.349333i	$-0.113592\pi$
$523$	35.9915	+	9.64389i	1.57380	+	0.421698i	0.636798	+	0.771030i	$0.280258\pi$
$524$	1.91721	−	3.71510i	0.0837535	−	0.162295i
$525$	−15.6035	−	12.2621i	−0.680992	−	0.535161i
$526$	−22.1003	−	5.36629i	−0.963619	−	0.233981i
$527$	7.20644	+	1.93096i	0.313917	+	0.0841139i
$528$	−7.93037	+	9.58869i	−0.345125	+	0.417294i
$529$	−21.7113	−	12.5350i	−0.943969	−	0.545001i
$530$	−27.0012	−	0.0353782i	−1.17286	−	0.00153673i
$531$	−7.21497			−0.313103
$532$	−11.4508	−	3.63343i	−0.496454	−	0.157529i
$533$	−6.66502	−	6.66502i	−0.288694	−	0.288694i
$534$	−4.34334	−	14.8033i	−0.187955	−	0.640602i
$535$	0.507489	−	20.3732i	0.0219407	−	0.880812i
$536$	−3.09302	−	8.95458i	−0.133598	−	0.386779i
$537$	3.14057	−	11.7208i	0.135526	−	0.505789i
$538$	6.34785	−	3.86742i	0.273675	−	0.166737i
$539$	2.67434	−	14.2672i	0.115192	−	0.614531i
$540$	−0.560512	−	25.1490i	−0.0241206	−	1.08224i
$541$	7.84446	−	4.52900i	0.337260	−	0.194717i	−0.321800	−	0.946808i	$-0.604288\pi$
$541$	7.84446	−	4.52900i	0.337260	−	0.194717i	0.659060	+	0.752091i	$0.270954\pi$
$542$	8.80426	−	0.207768i	0.378176	−	0.00892440i
$543$	−12.1181	+	3.24704i	−0.520038	+	0.139344i
$544$	6.00117	−	7.61497i	0.257298	−	0.326489i
$545$	7.51875	−	25.5023i	0.322068	−	1.09240i
$546$	22.6424	−	19.7129i	0.969005	−	0.843635i
$547$	−16.2455	−	16.2455i	−0.694608	−	0.694608i	0.268634	−	0.963242i	$-0.413428\pi$
$547$	−16.2455	−	16.2455i	−0.694608	−	0.694608i	−0.963242	+	0.268634i	$0.913428\pi$
$548$	−0.0213487	−	0.0194233i	−0.000911972	−	0.000829724i
$549$	3.20233	−	5.54659i	0.136672	−	0.236723i
$550$	7.66185	−	12.5020i	0.326702	−	0.533088i
$551$	15.7513	−	9.09405i	0.671030	−	0.387419i
$552$	2.08056	+	29.3445i	0.0885544	+	1.24899i
$553$	11.6287	+	14.0110i	0.494502	+	0.595807i
$554$	−1.80061	+	7.41556i	−0.0765006	+	0.315057i
$555$	3.11013	+	12.8822i	0.132018	+	0.546820i
$556$	4.52834	−	2.90755i	0.192044	−	0.123308i
$557$	−5.86959	−	21.9056i	−0.248702	−	0.928170i	−0.971486	−	0.237096i	$-0.923804\pi$
$557$	−5.86959	−	21.9056i	−0.248702	−	0.928170i	0.722784	−	0.691074i	$-0.242862\pi$
$558$	−4.04940	−	2.21222i	−0.171425	−	0.0936508i
$559$	−56.7334			−2.39957
$560$	−0.548393	+	23.6580i	−0.0231738	+	0.999731i
$561$	−5.33170			−0.225105
$562$	34.9469	+	19.0918i	1.47415	+	0.805338i
$563$	1.30927	+	4.88628i	0.0551793	+	0.205932i	0.988012	−	0.154378i	$-0.0493375\pi$
$563$	1.30927	+	4.88628i	0.0551793	+	0.205932i	−0.932832	+	0.360310i	$0.882671\pi$
$564$	2.79649	−	1.79557i	0.117753	−	0.0756071i
$565$	−19.9772	+	32.6933i	−0.840446	+	1.37542i
$566$	7.53278	−	31.0227i	0.316626	−	1.30398i
$567$	5.68361	−	15.3579i	0.238689	−	0.644971i
$568$	15.0825	−	1.06936i	0.632847	−	0.0448695i
$569$	−23.8336	+	13.7604i	−0.999158	+	0.576864i	−0.907999	−	0.418972i	$-0.862390\pi$
$569$	−23.8336	+	13.7604i	−0.999158	+	0.576864i	−0.0911588	+	0.995836i	$0.529057\pi$
$570$	−5.37284	−	9.33426i	−0.225044	−	0.390969i
$571$	18.0810	−	31.3172i	0.756667	−	1.31059i	−0.187874	−	0.982193i	$-0.560160\pi$
$571$	18.0810	−	31.3172i	0.756667	−	1.31059i	0.944541	−	0.328393i	$-0.106507\pi$
$572$	16.4074	+	14.9277i	0.686030	+	0.624158i
$573$	1.84586	+	1.84586i	0.0771120	+	0.0771120i
$574$	6.23638	+	2.14206i	0.260301	+	0.0894080i
$575$	−7.29400	−	33.8902i	−0.304181	−	1.41332i
$576$	−4.71811	+	3.70094i	−0.196588	+	0.154206i
$577$	−38.1212	+	10.2146i	−1.58701	+	0.425237i	−0.941086	−	0.338167i	$-0.890193\pi$
$577$	−38.1212	+	10.2146i	−1.58701	+	0.425237i	−0.645921	+	0.763404i	$0.723526\pi$
$578$	−19.8818	+	0.469181i	−0.826972	+	0.0195154i
$579$	−32.0719	+	18.5167i	−1.33286	+	0.769529i
$580$	−25.8920	−	24.7630i	−1.07511	−	1.02823i
$581$	−19.7267	+	27.8525i	−0.818403	+	1.15552i
$582$	27.4381	−	16.7166i	1.13734	−	0.692927i
$583$	4.58268	−	17.1028i	0.189795	−	0.708325i
$584$	1.56522	−	0.540647i	0.0647694	−	0.0223721i
$585$	−8.96162	−	0.223230i	−0.370517	−	0.00922943i
$586$	−11.5779	−	39.4608i	−0.478280	−	1.63011i
$587$	−1.67036	−	1.67036i	−0.0689431	−	0.0689431i	0.671794	−	0.740738i	$-0.265524\pi$
$587$	−1.67036	−	1.67036i	−0.0689431	−	0.0689431i	−0.740738	+	0.671794i	$0.765524\pi$
$588$	−8.17680	+	19.3449i	−0.337206	+	0.797772i
$589$	−9.88260			−0.407206
$590$	21.4954	+	21.5518i	0.884951	+	0.887273i
$591$	−7.87922	−	4.54907i	−0.324108	−	0.187124i
$592$	10.0715	−	12.1776i	0.413936	−	0.500494i
$593$	−14.7654	−	3.95638i	−0.606343	−	0.162469i	−0.0574312	−	0.998349i	$-0.518291\pi$
$593$	−14.7654	−	3.95638i	−0.606343	−	0.162469i	−0.548912	+	0.835880i	$0.684958\pi$
$594$	16.0298	+	3.89228i	0.657711	+	0.159702i
$595$	−7.96130	+	6.27950i	−0.326381	+	0.257435i
$596$	11.0077	−	21.3304i	0.450893	−	0.873727i
$597$	29.4663	+	7.89546i	1.20597	+	0.323140i
$598$	52.4279	−	1.23722i	2.14394	−	0.0505938i
$599$	4.61537	−	7.99405i	0.188579	−	0.326628i	−0.756198	−	0.654343i	$-0.772945\pi$
$599$	4.61537	−	7.99405i	0.188579	−	0.326628i	0.944777	+	0.327715i	$0.106279\pi$
$600$	−14.6836	+	15.3128i	−0.599454	+	0.625142i
$601$	36.4347			1.48620			0.743101	−	0.669179i	$-0.233354\pi$
$601$	36.4347			1.48620			0.743101	+	0.669179i	$0.233354\pi$
$602$	35.6591	−	17.4257i	1.45336	−	0.710216i
$603$	−1.77527	+	1.77527i	−0.0722947	+	0.0722947i
$604$	−0.0161437	−	0.341859i	−0.000656880	−	0.0139100i
$605$	−10.3264	−	10.8540i	−0.419828	−	0.441278i
$606$	10.0684	−	10.5551i	0.409001	−	0.428771i
$607$	−17.8396	−	4.78010i	−0.724087	−	0.194018i	−0.122092	−	0.992519i	$-0.538960\pi$
$607$	−17.8396	−	4.78010i	−0.724087	−	0.194018i	−0.601994	+	0.798500i	$0.705627\pi$
$608$	−5.06774	+	11.8007i	−0.205524	+	0.478583i
$609$	−13.2826	−	28.8895i	−0.538238	−	1.17066i
$610$	−26.1088	+	6.95918i	−1.05711	+	0.281769i
$611$	−2.96216	−	5.13061i	−0.119836	−	0.207562i
$612$	−2.51043	−	0.547194i	−0.101478	−	0.0221190i
$613$	46.2248	−	12.3859i	1.86700	−	0.500261i	0.867003	−	0.498304i	$-0.166044\pi$
$613$	46.2248	−	12.3859i	1.86700	−	0.500261i	0.999998	−	0.00195771i	$-0.000623159\pi$
$614$	8.76365	+	29.8690i	0.353672	+	1.20541i
$615$	2.82739	+	5.19160i	0.114011	+	0.209346i
$616$	−14.8977	−	4.34309i	−0.600247	−	0.174988i
$617$	−28.1867	−	28.1867i	−1.13476	−	1.13476i	−0.989376	−	0.145379i	$-0.953560\pi$
$617$	−28.1867	−	28.1867i	−1.13476	−	1.13476i	−0.145379	−	0.989376i	$-0.546440\pi$
$618$	−21.5796	−	11.7891i	−0.868057	−	0.474227i
$619$	5.94805	+	3.43411i	0.239072	+	0.138028i	0.614750	−	0.788722i	$-0.289257\pi$
$619$	5.94805	+	3.43411i	0.239072	+	0.138028i	−0.375678	+	0.926750i	$0.622590\pi$
$620$	5.45616	+	18.6867i	0.219125	+	0.750478i
$621$	33.7739	−	19.4994i	1.35530	−	0.782484i
$622$	−7.11157	−	11.6727i	−0.285148	−	0.468032i
$623$	14.8046	−	12.2873i	0.593133	−	0.492282i
$624$	−18.5949	−	26.1584i	−0.744391	−	1.04717i
$625$	14.5912	−	20.3001i	0.583650	−	0.812005i
$626$	1.45922	+	1.39194i	0.0583222	+	0.0556330i
$627$	6.82188	−	1.82792i	0.272440	−	0.0730000i
$628$	−4.14113	+	4.55163i	−0.165249	+	0.181630i
$629$	6.77121			0.269986
$630$	5.70129	−	2.61225i	0.227145	−	0.104074i
$631$			7.46410i			0.297141i	0.988902	+	0.148571i	$0.0474672\pi$
$631$			7.46410i			0.297141i	−0.988902	+	0.148571i	$0.952533\pi$
$632$	16.1268	−	10.9005i	0.641492	−	0.433597i
$633$	−5.79643	−	21.6326i	−0.230387	−	0.859817i
$634$	−30.8102	−	29.3896i	−1.22363	−	1.16721i
$635$	5.15619	−	8.43827i	0.204617	−	0.334863i
$636$	−11.7483	+	22.7655i	−0.465850	+	0.902711i
$637$	33.7594	+	16.1869i	1.33760	+	0.641348i
$638$	20.0635	−	12.2237i	0.794320	−	0.483939i
$639$	−2.00351	−	3.47018i	−0.0792576	−	0.137278i
$640$	25.1116	+	3.06729i	0.992623	+	0.121245i
$641$	−6.23519	+	10.7997i	−0.246275	+	0.426561i	−0.962489	−	0.271319i	$-0.912540\pi$
$641$	−6.23519	+	10.7997i	−0.246275	+	0.426561i	0.716214	+	0.697881i	$0.245873\pi$
$642$	−16.9686	−	9.27008i	−0.669697	−	0.365861i
$643$	−20.0209	+	20.0209i	−0.789548	+	0.789548i	−0.981420	−	0.191872i	$-0.938544\pi$
$643$	−20.0209	+	20.0209i	−0.789548	+	0.789548i	0.191872	+	0.981420i	$0.438544\pi$
$644$	−32.5730	+	16.8809i	−1.28355	+	0.665199i
$645$	34.1293	+	10.0622i	1.34384	+	0.396200i
$646$	−5.28036	+	1.54927i	−0.207753	+	0.0609553i
$647$	11.0436	+	41.2153i	0.434169	+	1.62034i	0.743046	+	0.669240i	$0.233380\pi$
$647$	11.0436	+	41.2153i	0.434169	+	1.62034i	−0.308877	+	0.951102i	$0.599953\pi$
$648$	−15.7422	−	7.65910i	−0.618412	−	0.300878i
$649$	−17.2862	+	9.98019i	−0.678543	+	0.391757i
$650$	26.0323	+	27.4342i	1.02107	+	1.07606i
$651$	−1.59839	+	17.2028i	−0.0626458	+	0.674233i
$652$	0.527977	+	1.65400i	0.0206772	+	0.0647757i
$653$	−6.92000	+	25.8258i	−0.270801	+	1.01064i	0.687803	+	0.725897i	$0.258575\pi$
$653$	−6.92000	+	25.8258i	−0.270801	+	1.01064i	−0.958604	+	0.284744i	$0.908091\pi$
$654$	−18.2531	−	17.4115i	−0.713752	−	0.680842i
$655$	3.22175	+	3.38636i	0.125884	+	0.132316i
$656$	2.93365	−	6.40984i	0.114540	−	0.250262i
$657$	−0.310310	−	0.310310i	−0.0121064	−	0.0121064i
$658$	3.43770	+	2.31496i	0.134015	+	0.0902466i
$659$			25.4132i			0.989959i	0.868905	+	0.494980i	$0.164824\pi$
$659$			25.4132i			0.989959i	−0.868905	+	0.494980i	$0.835176\pi$
$660$	−7.22270	−	11.8901i	−0.281143	−	0.462822i
$661$	−21.0064	−	12.1280i	−0.817053	−	0.471726i	0.0323461	−	0.999477i	$-0.489702\pi$
$661$	−21.0064	−	12.1280i	−0.817053	−	0.471726i	−0.849399	+	0.527751i	$0.823035\pi$
$662$	0.702973	+	29.7888i	0.0273218	+	1.15777i
$663$	3.55922	−	13.2832i	0.138229	−	0.515876i
$664$	27.5605	+	23.9111i	1.06955	+	0.927930i
$665$	8.03357	−	10.7640i	0.311529	−	0.417411i
$666$	−4.06962	−	0.988166i	−0.157695	−	0.0382906i
$667$	14.3758	−	53.6514i	0.556635	−	2.07739i
$668$	29.1204	+	6.34731i	1.12670	+	0.245585i
$669$	−16.2979	+	28.2288i	−0.630113	+	1.09139i
$670$	10.5919	+	0.0138780i	0.409202	+	0.000536155i
$671$		−	17.7186i		−	0.684020i
$672$	19.7221	+	10.7302i	0.760798	+	0.413925i
$673$	−7.27359	+	7.27359i	−0.280376	+	0.280376i	−0.833259	−	0.552883i	$-0.813528\pi$
$673$	−7.27359	+	7.27359i	−0.280376	+	0.280376i	0.552883	+	0.833259i	$0.313528\pi$
$674$	−13.1492	−	44.8163i	−0.506489	−	1.72626i
$675$	26.7700	+	8.62267i	1.03038	+	0.331887i
$676$	−26.2647	+	16.8641i	−1.01018	+	0.648617i
$677$	0.908708	+	0.243488i	0.0349245	+	0.00935799i	0.276239	−	0.961089i	$-0.410912\pi$
$677$	0.908708	+	0.243488i	0.0349245	+	0.00935799i	−0.241315	+	0.970447i	$0.577579\pi$
$678$	18.9132	+	31.0435i	0.726358	+	1.19222i
$679$	32.6979	+	23.1586i	1.25483	+	0.888744i
$680$	5.84475	+	9.12913i	0.224136	+	0.350086i
$681$	−1.70956	−	2.96104i	−0.0655104	−	0.113467i
$682$	−12.7620	+	0.301164i	−0.488680	+	0.0115322i
$683$	9.89135	+	36.9150i	0.378482	+	1.41251i	0.848190	+	0.529692i	$0.177692\pi$
$683$	9.89135	+	36.9150i	0.378482	+	1.41251i	−0.469708	+	0.882822i	$0.655641\pi$
$684$	3.39968	−	0.160545i	0.129990	−	0.00613858i
$685$	0.0283389	−	0.0154336i	0.00108278	−	0.000589689i
$686$	−26.1909	+	0.195097i	−0.999972	+	0.00744884i
$687$	−5.48441	+	5.48441i	−0.209243	+	0.209243i
$688$	−14.7949	−	39.7665i	−0.564049	−	1.51608i
$689$	39.5500	+	22.8342i	1.50673	+	0.869913i
$690$	−31.7587	−	8.55432i	−1.20903	−	0.325657i
$691$	5.11739	+	8.86358i	0.194675	+	0.337187i	0.946794	−	0.321841i	$-0.104302\pi$
$691$	5.11739	+	8.86358i	0.194675	+	0.337187i	−0.752119	+	0.659027i	$0.770968\pi$
$692$	−32.2193	+	10.2848i	−1.22479	+	0.390969i
$693$	0.692301	+	4.05368i	0.0262983	+	0.153987i
$694$	12.3149	+	2.99024i	0.467466	+	0.113508i
$695$	1.41201	+	5.84858i	0.0535606	+	0.221849i
$696$	−32.1295	+	11.0979i	−1.21786	+	0.420665i
$697$	2.91757	−	0.781762i	0.110511	−	0.0296113i
$698$	29.7916	+	16.2754i	1.12763	+	0.616034i
$699$		−	3.25986i		−	0.123299i
$700$	−24.7887	−	9.24766i	−0.936926	−	0.349529i
$701$			6.72080i			0.253841i	0.991913	+	0.126920i	$0.0405093\pi$
$701$			6.72080i			0.253841i	−0.991913	+	0.126920i	$0.959491\pi$
$702$	−20.3979	+	37.3377i	−0.769868	+	1.40922i
$703$	−8.66373	+	2.32144i	−0.326759	+	0.0875547i
$704$	−6.18464	+	15.3934i	−0.233092	+	0.580160i
$705$	0.871992	+	3.61181i	0.0328411	+	0.136028i
$706$	3.55482	−	14.6400i	0.133788	−	0.550985i
$707$	17.0607	+	6.31376i	0.641632	+	0.237453i
$708$	27.5121	−	8.78218i	1.03397	−	0.330055i
$709$	−14.8443	−	25.7111i	−0.557489	−	0.965599i	−0.997705	−	0.0677074i	$-0.978432\pi$
$709$	−14.8443	−	25.7111i	−0.557489	−	0.965599i	0.440216	−	0.897892i	$-0.354902\pi$
$710$	−4.39674	+	16.3233i	−0.165007	+	0.612602i
$711$	−4.46735	−	2.57923i	−0.167539	−	0.0967285i
$712$	−11.5179	−	17.0403i	−0.431651	−	0.638612i
$713$	−21.3406	+	21.3406i	−0.799211	+	0.799211i
$714$	1.84282	+	9.44220i	0.0689658	+	0.353366i
$715$	−21.7797	+	11.8614i	−0.814516	+	0.443592i
$716$	−0.763102	−	16.1594i	−0.0285184	−	0.603905i
$717$	4.65314	+	17.3658i	0.173775	+	0.648536i
$718$	0.301537	+	12.7778i	0.0112533	+	0.476863i
$719$	23.5433	+	40.7782i	0.878017	+	1.52077i	0.853513	+	0.521071i	$0.174467\pi$
$719$	23.5433	+	40.7782i	0.878017	+	1.52077i	0.0245039	+	0.999700i	$0.492199\pi$
$720$	−2.18053	−	6.33973i	−0.0812635	−	0.236268i
$721$	2.83708	−	30.5344i	0.105658	−	1.13716i
$722$	−16.7217	+	10.1877i	−0.622317	+	0.379146i
$723$	20.4312	+	5.47452i	0.759844	+	0.203600i
$724$	−14.0744	+	9.03686i	−0.523069	+	0.335852i
$725$	35.6438	−	18.2761i	1.32378	−	0.678758i
$726$	−13.6391	+	4.00175i	−0.506194	+	0.148519i
$727$	−18.1993	+	18.1993i	−0.674976	+	0.674976i	−0.958859	−	0.283883i	$-0.908377\pi$
$727$	−18.1993	+	18.1993i	−0.674976	+	0.674976i	0.283883	+	0.958859i	$0.408377\pi$
$728$	20.7653	−	34.2163i	0.769613	−	1.26814i
$729$			29.9539i			1.10940i
$730$	−0.00242582	+	1.85142i	−8.97836e−5	+	0.0685243i
$731$	9.09014	−	15.7446i	0.336211	−	0.582335i
$732$	−5.45969	+	25.0482i	−0.201796	+	0.925807i
$733$	5.27586	−	19.6898i	0.194868	−	0.727259i	−0.797432	−	0.603408i	$-0.793809\pi$
$733$	5.27586	−	19.6898i	0.194868	−	0.727259i	0.992301	−	0.123851i	$-0.0395244\pi$
$734$	4.43503	−	18.2651i	0.163700	−	0.674175i
$735$	−17.4378	−	15.7252i	−0.643204	−	0.580031i
$736$	14.5393	+	36.4260i	0.535925	+	1.34268i
$737$	−1.79767	+	6.70901i	−0.0662181	+	0.247129i
$738$	−1.86760	+	0.0440727i	−0.0687473	+	0.00162234i
$739$	−6.17231	−	3.56359i	−0.227052	−	0.131089i	0.382159	−	0.924096i	$-0.375181\pi$
$739$	−6.17231	−	3.56359i	−0.227052	−	0.131089i	−0.609211	+	0.793008i	$0.708514\pi$
$740$	9.17277	+	15.1003i	0.337198	+	0.555099i
$741$			18.2160i			0.669181i
$742$	−31.8722	−	2.20441i	−1.17007	−	0.0809264i
$743$	−1.82621	−	1.82621i	−0.0669973	−	0.0669973i	0.672814	−	0.739812i	$-0.265085\pi$
$743$	−1.82621	−	1.82621i	−0.0669973	−	0.0669973i	−0.739812	+	0.672814i	$0.765085\pi$
$744$	18.1339	+	3.50663i	0.664821	+	0.128559i
$745$	18.4978	+	19.4429i	0.677706	+	0.712332i
$746$	−1.56413	+	1.63974i	−0.0572669	+	0.0600351i
$747$	2.50263	−	9.33996i	0.0915666	−	0.341731i
$748$	−6.77161	+	2.16158i	−0.247594	+	0.0790351i
$749$	2.23087	−	24.0100i	0.0815142	−	0.877306i
$750$	−10.7946	−	21.1208i	−0.394163	−	0.771222i
$751$	14.7753	−	8.53052i	0.539158	−	0.311283i	−0.205580	−	0.978640i	$-0.565908\pi$
$751$	14.7753	−	8.53052i	0.539158	−	0.311283i	0.744738	+	0.667357i	$0.232575\pi$
$752$	2.82376	−	3.41424i	0.102972	−	0.124504i
$753$	−0.829219	−	3.09469i	−0.0302184	−	0.112777i
$754$	17.0600	+	58.1452i	0.621288	+	2.11752i
$755$	0.367017	+	0.108206i	0.0133571	+	0.00393803i
$756$	1.35261	−	29.7334i	0.0491938	−	1.08139i
$757$	19.9476	−	19.9476i	0.725007	−	0.725007i	−0.244614	−	0.969621i	$-0.578661\pi$
$757$	19.9476	−	19.9476i	0.725007	−	0.725007i	0.969621	+	0.244614i	$0.0786612\pi$
$758$	−16.4980	+	30.1990i	−0.599233	+	1.09688i
$759$	10.7840	−	18.6784i	0.391435	−	0.677985i
$760$	−10.6081	−	9.67686i	−0.384798	−	0.351017i
$761$	−14.2802	−	24.7340i	−0.517656	−	0.896607i	−0.999790	−	0.0205088i	$-0.993471\pi$
$761$	−14.2802	−	24.7340i	−0.517656	−	0.896607i	0.482134	−	0.876098i	$-0.339862\pi$
$762$	−4.88157	−	8.01244i	−0.176841	−	0.290260i
$763$	10.9185	−	29.5033i	0.395276	−	1.06809i
$764$	3.09271	+	1.59602i	0.111890	+	0.0577418i
$765$	1.49783	−	2.45125i	0.0541542	−	0.0886251i
$766$	4.18879	−	4.39126i	0.151347	−	0.158663i
$767$	−13.3247	−	49.7284i	−0.481127	−	1.79559i
$768$	13.4862	−	19.8554i	0.486642	−	0.716469i
$769$			1.35549i			0.0488803i	0.999701	+	0.0244401i	$0.00778031\pi$
$769$			1.35549i			0.0488803i	−0.999701	+	0.0244401i	$0.992220\pi$
$770$	10.0462	−	14.1450i	0.362039	−	0.509750i
$771$	41.9576			1.51106
$772$	−33.2264	+	36.5200i	−1.19584	+	1.31438i
$773$	−21.8416	+	5.85244i	−0.785588	+	0.210498i	−0.629247	−	0.777205i	$-0.716637\pi$
$773$	−21.8416	+	5.85244i	−0.785588	+	0.210498i	−0.156341	+	0.987703i	$0.549970\pi$
$774$	−7.76104	+	8.13619i	−0.278965	+	0.292449i
$775$	−21.7378	−	1.08363i	−0.780844	−	0.0389251i
$776$	28.0709	−	32.3551i	1.00768	−	1.16148i
$777$	2.63972	+	15.4566i	0.0946996	+	0.554502i
$778$	−17.0893	+	10.4116i	−0.612679	+	0.373275i
$779$	−3.46500	+	2.00052i	−0.124146	+	0.0716760i
$780$	34.4441	−	10.0570i	1.23330	−	0.360099i
$781$	−9.60033	−	5.54275i	−0.343527	−	0.198335i
$782$	−8.05694	+	14.7480i	−0.288116	+	0.527386i
$783$	31.8639	+	31.8639i	1.13872	+	1.13872i
$784$	−2.54225	+	27.8844i	−0.0907945	+	0.995870i
$785$	−3.29051	−	6.04197i	−0.117443	−	0.215647i
$786$	4.25529	−	1.24851i	0.151781	−	0.0445330i
$787$	−13.5594	+	3.63323i	−0.483340	+	0.129511i	−0.492257	−	0.870450i	$-0.663828\pi$
$787$	−13.5594	+	3.63323i	−0.483340	+	0.129511i	0.00891736	+	0.999960i	$0.497161\pi$
$788$	−11.8514	−	2.58322i	−0.422188	−	0.0920234i
$789$	−12.0622	−	20.8924i	−0.429426	−	0.743788i
$790$	5.60508	+	21.0286i	0.199420	+	0.748164i
$791$	−26.2016	+	36.9945i	−0.931623	+	1.31537i
$792$	4.38531	−	0.310923i	0.155825	−	0.0110482i
$793$	44.1434	+	11.8282i	1.56758	+	0.420031i
$794$	−14.4412	−	13.7754i	−0.512500	−	0.488869i
$795$	−19.7423	−	20.7510i	−0.700188	−	0.735962i
$796$	40.6250	−	1.91845i	1.43992	−	0.0679977i
$797$	−8.95615	+	8.95615i	−0.317243	+	0.317243i	−0.847707	−	0.530464i	$-0.822018\pi$
$797$	−8.95615	+	8.95615i	−0.317243	+	0.317243i	0.530464	+	0.847707i	$0.322018\pi$
$798$	−5.59503	−	11.4494i	−0.198062	−	0.405306i
$799$	1.89846			0.0671625
$800$	−12.4410	+	25.4012i	−0.439855	+	0.898069i
$801$	−2.72532	+	4.72039i	−0.0962944	+	0.166787i
$802$	0.813756	+	34.4833i	0.0287347	+	1.21765i
$803$	−1.17271	−	0.314226i	−0.0413839	−	0.0110888i
$804$	4.60857	−	8.93035i	0.162532	−	0.314949i
$805$	−5.89617	−	40.5917i	−0.207813	−	1.43067i
$806$	7.76902	−	31.9956i	0.273652	−	1.12700i
$807$	7.61618	+	2.04075i	0.268102	+	0.0718378i
$808$	8.50827	−	17.4876i	0.299320	−	0.615210i
$809$	28.0498	+	16.1946i	0.986178	+	0.569370i	0.904130	−	0.427258i	$-0.140520\pi$
$809$	28.0498	+	16.1946i	0.986178	+	0.569370i	0.0820487	+	0.996628i	$0.473854\pi$
$810$	13.8582	−	13.8220i	0.486929	−	0.485655i
$811$	−8.22841			−0.288938			−0.144469	−	0.989509i	$-0.546147\pi$
$811$	−8.22841			−0.288938			−0.144469	+	0.989509i	$0.546147\pi$
$812$	−28.5821	−	31.3065i	−1.00304	−	1.09864i
$813$	6.60569	+	6.60569i	0.231672	+	0.231672i
$814$	−11.1172	+	3.26182i	−0.389658	+	0.114327i
$815$	−1.94056	−	0.0483385i	−0.0679748	−	0.00169322i
$816$	10.2388	−	0.969186i	0.358430	−	0.0339283i
$817$	−6.23292	+	23.2616i	−0.218062	+	0.813819i
$818$	−2.01237	−	3.30304i	−0.0703610	−	0.115488i
$819$	−10.5613	−	0.981298i	−0.369043	−	0.0342893i
$820$	5.69574	+	5.44739i	0.198904	+	0.190231i
$821$	−29.6787	+	17.1350i	−1.03579	+	0.598016i	−0.918639	−	0.395098i	$-0.870711\pi$
$821$	−29.6787	+	17.1350i	−1.03579	+	0.598016i	−0.117155	+	0.993114i	$0.537377\pi$
$822$	−0.000722296	−	0.0306076i	−2.51930e−5	−	0.00106756i
$823$	−35.1088	+	9.40737i	−1.22382	+	0.327920i	−0.812168	−	0.583423i	$-0.801713\pi$
$823$	−35.1088	+	9.40737i	−1.22382	+	0.327920i	−0.411647	+	0.911343i	$0.635046\pi$
$824$	−32.1869	−	6.22413i	−1.12129	−	0.216828i
$825$	15.2058	−	3.27267i	0.529399	−	0.113940i
$826$	23.6492	+	27.1636i	0.822859	+	0.945141i
$827$	17.3030	+	17.3030i	0.601684	+	0.601684i	0.940759	−	0.339075i	$-0.110114\pi$
$827$	17.3030	+	17.3030i	0.601684	+	0.601684i	−0.339075	+	0.940759i	$0.610114\pi$
$828$	6.99462	−	7.68799i	0.243080	−	0.267176i
$829$	−3.29605	+	5.70893i	−0.114477	+	0.198279i	−0.917570	−	0.397573i	$-0.869852\pi$
$829$	−3.29605	+	5.70893i	−0.114477	+	0.198279i	0.803094	+	0.595853i	$0.203186\pi$
$830$	−35.3553	+	20.3507i	−1.22720	+	0.706383i
$831$	−7.01024	+	4.04736i	−0.243183	+	0.140402i
$832$	−34.2218	−	25.6841i	−1.18643	−	0.890436i
$833$	−9.90128	+	6.77531i	−0.343059	+	0.234751i
$834$	5.54723	+	1.34695i	0.192085	+	0.0466411i
$835$	−17.3745	+	28.4339i	−0.601268	+	0.983995i
$836$	7.92315	−	5.08730i	0.274028	−	0.175948i
$837$	−6.33715	−	23.6506i	−0.219044	−	0.817483i
$838$	6.17282	−	11.2992i	0.213237	−	0.390323i
$839$	−53.0081			−1.83004			−0.915022	−	0.403405i	$-0.867827\pi$
$839$	−53.0081			−1.83004			−0.915022	+	0.403405i	$0.867827\pi$
$840$	−18.5604	+	16.9007i	−0.640396	+	0.583130i
$841$	35.1800			1.21310
$842$	−4.83501	+	8.85032i	−0.166625	+	0.305002i
$843$	10.9329	+	40.8023i	0.376550	+	1.40531i
$844$	−16.1321	−	25.1248i	−0.555290	−	0.864830i
$845$	−8.18978	−	33.9222i	−0.281737	−	1.16696i
$846$	−1.14100	−	0.277053i	−0.0392286	−	0.00952529i
$847$	−11.3210	−	13.6402i	−0.388994	−	0.468684i
$848$	−5.69151	+	33.6766i	−0.195447	+	1.15646i
$849$	29.3271	−	16.9320i	1.00650	−	0.581105i
$850$	−11.7846	+	2.82879i	−0.404207	+	0.0970266i
$851$	−13.6956	+	23.7215i	−0.469479	+	0.813161i
$852$	11.8637	+	10.7938i	0.406445	+	0.369788i
$853$	−35.4072	−	35.4072i	−1.21232	−	1.21232i	−0.970262	−	0.242056i	$-0.922178\pi$
$853$	−35.4072	−	35.4072i	−1.21232	−	1.21232i	−0.242056	−	0.970262i	$-0.577822\pi$
$854$	−31.3789	+	6.12416i	−1.07376	+	0.209564i
$855$	−1.07608	+	3.64987i	−0.0368012	+	0.124823i
$856$	−25.3095	−	4.89420i	−0.865060	−	0.167280i
$857$	5.23560	−	1.40287i	0.178845	−	0.0479213i	−0.168285	−	0.985738i	$-0.553823\pi$
$857$	5.23560	−	1.40287i	0.178845	−	0.0479213i	0.347130	+	0.937817i	$0.387156\pi$
$858$	0.555116	+	23.5233i	0.0189514	+	0.803072i
$859$	−1.32568	+	0.765383i	−0.0452317	+	0.0261145i	−0.522445	−	0.852673i	$-0.674980\pi$
$859$	−1.32568	+	0.765383i	−0.0452317	+	0.0261145i	0.477214	+	0.878787i	$0.341647\pi$
$860$	47.4258	−	1.05701i	1.61721	−	0.0360437i
$861$	2.92192	+	6.35515i	0.0995788	+	0.216583i
$862$	15.3341	+	25.1689i	0.522283	+	0.857256i
$863$	−0.600608	+	2.24150i	−0.0204449	+	0.0763016i	−0.975395	−	0.220466i	$-0.929242\pi$
$863$	−0.600608	+	2.24150i	−0.0204449	+	0.0763016i	0.954950	+	0.296768i	$0.0959088\pi$
$864$	−31.4906	−	4.56074i	−1.07133	−	0.155160i
$865$	0.941615	−	37.8013i	0.0320159	−	1.28528i
$866$	−14.3460	+	4.20917i	−0.487498	+	0.143033i
$867$	−14.9169	−	14.9169i	−0.506606	−	0.506606i
$868$	4.94431	+	22.4967i	0.167821	+	0.763589i
$869$	−14.2710			−0.484110
$870$	0.0497950	−	38.0044i	0.00168821	−	1.28847i
$871$	−15.5145	−	8.95729i	−0.525688	−	0.303506i
$872$	−30.2415	−	14.7135i	−1.02411	−	0.498262i
$873$	−10.9648	−	2.93801i	−0.371103	−	0.0994366i
$874$	5.25262	−	21.6322i	0.177672	−	0.731719i
$875$	18.8509	−	22.7957i	0.637278	−	0.770634i
$876$	1.56099	+	0.805558i	0.0527409	+	0.0272173i
$877$	−26.7929	−	7.17913i	−0.904731	−	0.242422i	−0.223684	−	0.974662i	$-0.571808\pi$
$877$	−26.7929	−	7.17913i	−0.904731	−	0.242422i	−0.681047	+	0.732240i	$0.738475\pi$
$878$	−0.493962	−	20.9319i	−0.0166704	−	0.706417i
$879$	21.8116	−	37.7788i	0.735686	−	1.27425i
$880$	−13.9938	−	12.1730i	−0.471730	−	0.410351i
$881$	−12.2442			−0.412518			−0.206259	−	0.978497i	$-0.566129\pi$
$881$	−12.2442			−0.412518			−0.206259	+	0.978497i	$0.566129\pi$
$882$	6.93961	−	2.62712i	0.233669	−	0.0884599i
$883$	16.6226	−	16.6226i	0.559395	−	0.559395i	−0.369740	−	0.929135i	$-0.620553\pi$
$883$	16.6226	−	16.6226i	0.559395	−	0.559395i	0.929135	+	0.369740i	$0.120553\pi$
$884$	−0.864825	−	18.3135i	−0.0290872	−	0.615949i
$885$	−0.804045	+	32.2786i	−0.0270277	+	1.08503i
$886$	−15.9053	−	15.1719i	−0.534348	−	0.509710i
$887$	17.2517	+	4.62259i	0.579256	+	0.155211i	0.536538	−	0.843876i	$-0.319732\pi$
$887$	17.2517	+	4.62259i	0.579256	+	0.155211i	0.0427179	+	0.999087i	$0.486398\pi$
$888$	16.7211	−	1.18554i	0.561122	−	0.0397841i
$889$	6.76274	−	9.54842i	0.226815	−	0.320244i
$890$	22.2197	−	5.92256i	0.744806	−	0.198525i
$891$	6.41747	+	11.1154i	0.214993	+	0.372380i
$892$	−9.25488	+	42.4599i	−0.309876	+	1.42166i
$893$	−2.42906	+	0.650865i	−0.0812854	+	0.0217804i
$894$	24.4319	−	7.16838i	0.817124	−	0.239747i
$895$	17.3486	+	5.11483i	0.579899	+	0.170970i
$896$	29.3986	+	5.63224i	0.982138	+	0.188160i
$897$	39.3357	+	39.3357i	1.31338	+	1.31338i
$898$	13.5852	−	24.8672i	0.453343	−	0.829830i
$899$	−30.2005	−	17.4363i	−1.00724	−	0.581532i
$900$	7.49555	+	0.0196420i	0.249852	+	0.000654735i
$901$	−12.6738	+	7.31724i	−0.422227	+	0.243773i
$902$	−4.41358	+	2.68897i	−0.146956	+	0.0895330i
$903$	39.4838	+	14.6120i	1.31394	+	0.486258i
$904$	36.6066	+	31.7594i	1.21752	+	1.05630i
$905$	−4.38862	−	18.1777i	−0.145883	−	0.604249i
$906$	0.250577	−	0.262690i	0.00832488	−	0.00872728i
$907$	40.1471	−	10.7574i	1.33306	−	0.357193i	0.479206	−	0.877702i	$-0.340925\pi$
$907$	40.1471	−	10.7574i	1.33306	−	0.357193i	0.853856	+	0.520510i	$0.174258\pi$
$908$	−3.37171	−	3.06763i	−0.111894	−	0.101803i
$909$	−5.15375			−0.170939
$910$	28.5339	+	34.4712i	0.945888	+	1.14271i
$911$			7.85892i			0.260378i	0.991489	+	0.130189i	$0.0415584\pi$
$911$			7.85892i			0.260378i	−0.991489	+	0.130189i	$0.958442\pi$
$912$	−12.7682	+	4.75034i	−0.422798	+	0.157299i
$913$	−6.92359	−	25.8392i	−0.229137	−	0.855152i
$914$	9.89345	−	10.3717i	0.327246	−	0.343065i
$915$	−24.4576	−	14.9448i	−0.808545	−	0.494059i
$916$	−4.74207	+	9.18904i	−0.156682	+	0.303614i
$917$	3.53206	+	4.25565i	0.116639	+	0.140534i
$918$	−7.09364	−	11.6432i	−0.234125	−	0.384284i
$919$	5.33141	+	9.23428i	0.175867	+	0.304611i	0.940461	−	0.339902i	$-0.110394\pi$
$919$	5.33141	+	9.23428i	0.175867	+	0.304611i	−0.764594	+	0.644512i	$0.777060\pi$
$920$	−43.8036	+	2.01104i	−1.44416	+	0.0663020i
$921$	−16.5098	+	28.5958i	−0.544016	+	0.942263i
$922$	−20.4894	+	37.5052i	−0.674782	+	1.23517i
$923$	20.2177	−	20.2177i	0.665475	−	0.665475i
$924$	−7.57409	−	14.6148i	−0.249169	−	0.480792i
$925$	−19.3113	+	4.15626i	−0.634951	+	0.136657i
$926$	−13.5575	−	46.2078i	−0.445527	−	1.51848i
$927$	2.24858	+	8.39180i	0.0738529	+	0.275623i
$928$	−36.3072	+	27.1210i	−1.19184	+	0.890290i
$929$	25.4869	−	14.7149i	0.836197	−	0.482779i	−0.0197726	−	0.999805i	$-0.506294\pi$
$929$	25.4869	−	14.7149i	0.836197	−	0.482779i	0.855970	+	0.517026i	$0.172961\pi$
$930$	−10.3484	+	17.8698i	−0.339336	+	0.585974i
$931$	10.3458	−	12.0635i	0.339069	−	0.395366i
$932$	−1.32161	−	4.14023i	−0.0432907	−	0.135618i
$933$	3.75261	−	14.0049i	0.122855	−	0.458501i
$934$	−31.1362	+	32.6412i	−1.01881	+	1.06805i
$935$	0.197901	−	7.94479i	0.00647207	−	0.259822i
$936$	−2.15282	+	11.1329i	−0.0703672	+	0.363891i
$937$	−8.44266	−	8.44266i	−0.275810	−	0.275810i	0.555624	−	0.831434i	$-0.312479\pi$
$937$	−8.44266	−	8.44266i	−0.275810	−	0.275810i	−0.831434	+	0.555624i	$0.812479\pi$
$938$	12.5027	+	0.864736i	0.408227	+	0.0282346i
$939$			2.13918i			0.0698094i
$940$	2.57178	+	4.23370i	0.0838823	+	0.138088i
$941$	22.7532	+	13.1366i	0.741732	+	0.428239i	0.822699	−	0.568477i	$-0.192467\pi$
$941$	22.7532	+	13.1366i	0.741732	+	0.428239i	−0.0809665	+	0.996717i	$0.525801\pi$
$942$	−6.52566	+	0.153996i	−0.212617	+	0.00501747i
$943$	−3.16241	+	11.8023i	−0.102982	+	0.384335i
$944$	31.3816	−	22.3079i	1.02139	−	0.726059i
$945$	30.9114	+	12.3232i	1.00555	+	0.400874i
$946$	−7.34003	+	30.2289i	−0.238645	+	0.982826i
$947$	14.9808	−	55.9090i	0.486810	−	1.81680i	−0.0849604	−	0.996384i	$-0.527076\pi$
$947$	14.9808	−	55.9090i	0.486810	−	1.81680i	0.571770	−	0.820414i	$-0.306257\pi$
$948$	20.1743	+	4.39736i	0.655232	+	0.142819i
$949$	1.56570	−	2.71187i	0.0508247	−	0.0880309i
$950$	14.1084	−	7.65962i	0.457738	−	0.248511i
$951$		−	45.1669i		−	1.46464i
$952$	6.16855	+	11.2451i	0.199924	+	0.364456i
$953$	−8.93166	+	8.93166i	−0.289325	+	0.289325i	−0.836813	−	0.547488i	$-0.815584\pi$
$953$	−8.93166	+	8.93166i	−0.289325	+	0.289325i	0.547488	+	0.836813i	$0.315584\pi$
$954$	8.68505	−	2.54822i	0.281189	−	0.0825016i
$955$	−2.81904	+	2.68201i	−0.0912220	+	0.0867879i
$956$	12.9502	+	20.1692i	0.418839	+	0.652317i
$957$	24.0722	+	6.45014i	0.778145	+	0.208503i
$958$	−40.9157	+	24.9279i	−1.32193	+	0.805382i
$959$	0.0346903	−	0.0159496i	0.00112021	−	0.000515041i
$960$	16.0316	+	21.5204i	0.517418	+	0.694569i
$961$	−6.02590	−	10.4372i	−0.194384	−	0.336683i
$962$	−0.704992	−	29.8744i	−0.0227299	−	0.963188i
$963$	1.76812	+	6.59870i	0.0569767	+	0.212640i
$964$	28.1684	−	1.33021i	0.907243	−	0.0428431i
$965$	−26.4014	−	48.4778i	−0.849892	−	1.56056i
$966$	−36.8060	−	12.6421i	−1.18421	−	0.406752i
$967$	31.6291	−	31.6291i	1.01712	−	1.01712i	0.0172727	−	0.999851i	$-0.494502\pi$
$967$	31.6291	−	31.6291i	1.01712	−	1.01712i	0.999851	−	0.0172727i	$-0.00549835\pi$
$968$	−15.7001	+	10.6120i	−0.504622	+	0.341084i
$969$	−5.05528	−	2.91867i	−0.162399	−	0.0937611i
$970$	23.8911	+	41.5060i	0.767096	+	1.33268i
$971$	2.92796	+	5.07137i	0.0939626	+	0.162748i	0.909175	−	0.416414i	$-0.136713\pi$
$971$	2.92796	+	5.07137i	0.0939626	+	0.162748i	−0.815213	+	0.579162i	$0.803380\pi$
$972$	4.61586	+	14.4602i	0.148054	+	0.463811i
$973$	1.19844	+	7.01735i	0.0384204	+	0.224966i
$974$	−9.23069	+	38.0153i	−0.295771	+	1.21809i
$975$	−1.99739	+	40.0679i	−0.0639676	+	1.28320i
$976$	3.22085	+	34.0262i	0.103097	+	1.08915i
$977$	−24.6834	+	6.61390i	−0.789693	+	0.211597i	−0.631054	−	0.775739i	$-0.717377\pi$
$977$	−24.6834	+	6.61390i	−0.789693	+	0.211597i	−0.158639	+	0.987337i	$0.550711\pi$
$978$	−0.882978	+	1.61626i	−0.0282345	+	0.0516824i
$979$			15.0793i			0.481937i
$980$	−28.5225	−	12.9023i	−0.911116	−	0.412149i
$981$			8.91247i			0.284553i
$982$	0.168928	+	0.0922870i	0.00539072	+	0.00294500i
$983$	5.86808	−	1.57235i	0.187163	−	0.0501501i	−0.164020	−	0.986457i	$-0.552446\pi$
$983$	5.86808	−	1.57235i	0.187163	−	0.0501501i	0.351183	+	0.936307i	$0.385780\pi$
$984$	7.06787	−	2.44133i	0.225316	−	0.0778268i
$985$	7.07104	−	11.5720i	0.225302	−	0.368714i
$986$	−18.8698	−	4.58188i	−0.600938	−	0.145917i
$987$	0.740103	+	4.33359i	0.0235577	+	0.137940i
$988$	7.38511	+	23.1355i	0.234952	+	0.736037i
$989$	36.7718	+	63.6906i	1.16928	+	2.02524i
$990$	−1.27837	+	4.74608i	−0.0406294	+	0.150840i
$991$	52.1775	+	30.1247i	1.65747	+	0.956943i	0.973875	+	0.227084i	$0.0729191\pi$
$991$	52.1775	+	30.1247i	1.65747	+	0.956943i	0.683598	+	0.729859i	$0.260414\pi$
$992$	24.4529	−	2.89819i	0.776379	−	0.0920175i
$993$	−22.3500	+	22.3500i	−0.709256	+	0.709256i
$994$	−6.49776	+	18.9175i	−0.206097	+	0.600027i
$995$	−12.8588	+	43.6147i	−0.407650	+	1.38268i
$996$	1.82572	+	38.6613i	0.0578501	+	1.22503i
$997$	8.12658	+	30.3288i	0.257371	+	0.960522i	0.966756	+	0.255701i	$0.0823062\pi$
$997$	8.12658	+	30.3288i	0.257371	+	0.960522i	−0.709385	+	0.704821i	$0.751027\pi$
$998$	−0.692001	+	0.0163302i	−0.0219049	+	0.000516925i
$999$	−11.1111	−	19.2450i	−0.351540	−	0.608885i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.67.37	yes	176
5.3	odd	4	inner	280.2.br.a.123.30	yes	176
7.2	even	3	inner	280.2.br.a.107.23	yes	176
8.3	odd	2	inner	280.2.br.a.67.1	✓	176
35.23	odd	12	inner	280.2.br.a.163.1	yes	176
40.3	even	4	inner	280.2.br.a.123.23	yes	176
56.51	odd	6	inner	280.2.br.a.107.30	yes	176
280.163	even	12	inner	280.2.br.a.163.37	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.1	✓	176	8.3	odd	2	inner
280.2.br.a.67.37	yes	176	1.1	even	1	trivial
280.2.br.a.107.23	yes	176	7.2	even	3	inner
280.2.br.a.107.30	yes	176	56.51	odd	6	inner
280.2.br.a.123.23	yes	176	40.3	even	4	inner
280.2.br.a.123.30	yes	176	5.3	odd	4	inner
280.2.br.a.163.1	yes	176	35.23	odd	12	inner
280.2.br.a.163.37	yes	176	280.163	even	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)

\(f(q)\)	\(=\)	\(q+(1.24109 + 0.678016i) q^{2} +(0.388267 + 1.44903i) q^{3} +(1.08059 + 1.68295i) q^{4} +(-2.17362 + 0.524773i) q^{5} +(-0.500594 + 2.06162i) q^{6} +(-2.60799 + 0.445401i) q^{7} +(0.200036 + 2.82134i) q^{8} +(0.649136 - 0.374779i) q^{9} +O(q^{10})\)	\(q+(1.24109 + 0.678016i) q^{2} +(0.388267 + 1.44903i) q^{3} +(1.08059 + 1.68295i) q^{4} +(-2.17362 + 0.524773i) q^{5} +(-0.500594 + 2.06162i) q^{6} +(-2.60799 + 0.445401i) q^{7} +(0.200036 + 2.82134i) q^{8} +(0.649136 - 0.374779i) q^{9} +(-3.05345 - 0.822459i) q^{10} +(1.03683 - 1.79585i) q^{11} +(-2.01909 + 2.21924i) q^{12} +(3.78195 + 3.78195i) q^{13} +(-3.53873 - 1.21548i) q^{14} +(-1.60436 - 2.94589i) q^{15} +(-1.66465 + 3.63716i) q^{16} +(-1.65553 + 0.443598i) q^{17} +(1.05974 - 0.0250083i) q^{18} +(1.96616 - 1.13516i) q^{19} +(-3.23195 - 3.09103i) q^{20} +(-1.65800 - 3.60613i) q^{21} +(2.50441 - 1.52581i) q^{22} +(1.79446 - 6.69701i) q^{23} +(-4.01055 + 1.38529i) q^{24} +(4.44923 - 2.28131i) q^{25} +(2.12951 + 7.25795i) q^{26} +(3.97740 + 3.97740i) q^{27} +(-3.56776 - 3.90783i) q^{28} +8.01124 q^{29} +(0.00621564 - 4.74388i) q^{30} +(-3.76977 - 2.17648i) q^{31} +(-4.53203 + 3.38537i) q^{32} +(3.00481 + 0.805136i) q^{33} +(-2.35542 - 0.571932i) q^{34} +(5.43504 - 2.33673i) q^{35} +(1.33218 + 0.687482i) q^{36} +(-3.81608 - 1.02252i) q^{37} +(3.20983 - 0.0757473i) q^{38} +(-4.01176 + 6.94858i) q^{39} +(-1.91537 - 6.02755i) q^{40} -1.76232 q^{41} +(0.387295 - 5.59966i) q^{42} +(-7.50054 + 7.50054i) q^{43} +(4.14272 - 0.195633i) q^{44} +(-1.21430 + 1.15527i) q^{45} +(6.76776 - 7.09490i) q^{46} +(-1.06992 - 0.286684i) q^{47} +(-5.91669 - 0.999948i) q^{48} +(6.60324 - 2.32320i) q^{49} +(7.06864 + 0.185345i) q^{50} +(-1.28557 - 2.22668i) q^{51} +(-2.27811 + 10.4516i) q^{52} +(8.24761 - 2.20994i) q^{53} +(2.23955 + 7.63303i) q^{54} +(-1.31127 + 4.44759i) q^{55} +(-1.77832 - 7.26895i) q^{56} +(2.40828 + 2.40828i) q^{57} +(9.94264 + 5.43175i) q^{58} +(-8.33605 - 4.81282i) q^{59} +(3.22414 - 5.88335i) q^{60} +(7.39983 - 4.27229i) q^{61} +(-3.20292 - 5.25716i) q^{62} +(-1.52601 + 1.26655i) q^{63} +(-7.91997 + 1.12874i) q^{64} +(-10.2052 - 6.23586i) q^{65} +(3.18333 + 3.03655i) q^{66} +(-3.23533 + 0.866905i) q^{67} +(-2.53550 - 2.30683i) q^{68} +10.4009 q^{69} +(8.32970 + 0.784957i) q^{70} -5.34585i q^{71} +(1.18723 + 1.75647i) q^{72} +(-0.151531 - 0.565523i) q^{73} +(-4.04280 - 3.85639i) q^{74} +(5.03318 + 5.56131i) q^{75} +(4.03503 + 2.08230i) q^{76} +(-1.90418 + 5.14536i) q^{77} +(-9.69019 + 5.90374i) q^{78} +(-3.44100 - 5.95998i) q^{79} +(1.70964 - 8.77936i) q^{80} +(-3.09475 + 5.36026i) q^{81} +(-2.18719 - 1.19488i) q^{82} +(9.12181 - 9.12181i) q^{83} +(4.27732 - 6.68707i) q^{84} +(3.36570 - 1.83299i) q^{85} +(-14.3943 + 4.22333i) q^{86} +(3.11050 + 11.6085i) q^{87} +(5.27411 + 2.56603i) q^{88} +(-6.29757 + 3.63590i) q^{89} +(-2.29034 + 0.610481i) q^{90} +(-11.5478 - 8.17882i) q^{91} +(13.2098 - 4.21673i) q^{92} +(1.69011 - 6.30756i) q^{93} +(-1.13349 - 1.08122i) q^{94} +(-3.67797 + 3.49919i) q^{95} +(-6.66514 - 5.25263i) q^{96} +(-10.7087 - 10.7087i) q^{97} +(9.77035 + 1.59380i) q^{98} -1.55433i 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

Modular forms

Varieties

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