LMFDB - Embedded newform 360.2.br.e.77.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(77,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 10, 3]))

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

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

chi := DirichletCharacter("360.77");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.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:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$64$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			77.6
Character	$\chi$	$=$	360.77
Dual form			360.2.br.e.173.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.37718 - 0.321532i) q^{2} +(1.63984 - 0.557615i) q^{3} +(1.79323 + 0.885613i) q^{4} +(2.22426 + 0.229476i) q^{5} +(-2.43764 + 0.240675i) q^{6} +(0.712972 - 2.66085i) q^{7} +(-2.18485 - 1.79623i) q^{8} +(2.37813 - 1.82880i) q^{9} +O(q^{10})$	\(q+(-1.37718 - 0.321532i) q^{2} +(1.63984 - 0.557615i) q^{3} +(1.79323 + 0.885613i) q^{4} +(2.22426 + 0.229476i) q^{5} +(-2.43764 + 0.240675i) q^{6} +(0.712972 - 2.66085i) q^{7} +(-2.18485 - 1.79623i) q^{8} +(2.37813 - 1.82880i) q^{9} +(-2.98942 - 1.03120i) q^{10} +(-1.95366 - 3.38384i) q^{11} +(3.43444 + 0.452326i) q^{12} +(-2.51649 + 0.674293i) q^{13} +(-1.83744 + 3.43522i) q^{14} +(3.77539 - 0.863979i) q^{15} +(2.43138 + 3.17622i) q^{16} +(-3.65402 + 3.65402i) q^{17} +(-3.86312 + 1.75393i) q^{18} +7.70890 q^{19} +(3.78540 + 2.38134i) q^{20} +(-0.314571 - 4.76092i) q^{21} +(1.60252 + 5.28831i) q^{22} +(-4.91819 + 1.31782i) q^{23} +(-4.58440 - 1.72722i) q^{24} +(4.89468 + 1.02083i) q^{25} +(3.68246 - 0.119487i) q^{26} +(2.87998 - 4.32501i) q^{27} +(3.63501 - 4.14011i) q^{28} +(-2.44164 + 1.40968i) q^{29} +(-5.47717 - 0.0240547i) q^{30} +(-5.15324 + 8.92568i) q^{31} +(-2.32718 - 5.15599i) q^{32} +(-5.09057 - 4.45955i) q^{33} +(6.20712 - 3.85735i) q^{34} +(2.19644 - 5.75482i) q^{35} +(5.88415 - 1.17336i) q^{36} +(2.08862 - 2.08862i) q^{37} +(-10.6165 - 2.47866i) q^{38} +(-3.75064 + 2.50897i) q^{39} +(-4.44748 - 4.49665i) q^{40} +(2.45194 + 1.41563i) q^{41} +(-1.09757 + 6.65778i) q^{42} +(2.24815 - 8.39021i) q^{43} +(-0.506599 - 7.79820i) q^{44} +(5.70925 - 3.52200i) q^{45} +(7.19694 - 0.233523i) q^{46} +(7.19101 + 1.92683i) q^{47} +(5.75818 + 3.85271i) q^{48} +(-0.509611 - 0.294224i) q^{49} +(-6.41262 - 2.97966i) q^{50} +(-3.95446 + 8.02954i) q^{51} +(-5.10983 - 1.01948i) q^{52} +(-1.08203 + 1.08203i) q^{53} +(-5.35687 + 5.03030i) q^{54} +(-3.56894 - 7.97486i) q^{55} +(-6.33723 + 4.53289i) q^{56} +(12.6413 - 4.29860i) q^{57} +(3.81582 - 1.15631i) q^{58} +(7.67822 + 4.43302i) q^{59} +(7.53530 + 1.79421i) q^{60} +(-4.69355 + 2.70982i) q^{61} +(9.96682 - 10.6353i) q^{62} +(-3.17061 - 7.63173i) q^{63} +(1.54713 + 7.84897i) q^{64} +(-5.75208 + 0.922329i) q^{65} +(5.57672 + 7.77838i) q^{66} +(0.00765856 + 0.0285821i) q^{67} +(-9.78857 + 3.31647i) q^{68} +(-7.33019 + 4.90347i) q^{69} +(-4.87524 + 7.21918i) q^{70} +1.45527i q^{71} +(-8.48079 - 0.276023i) q^{72} +(-9.51118 + 9.51118i) q^{73} +(-3.54796 + 2.20484i) q^{74} +(8.59571 - 1.05536i) q^{75} +(13.8239 + 6.82710i) q^{76} +(-10.3968 + 2.78581i) q^{77} +(5.97201 - 2.24934i) q^{78} +(1.98489 - 1.14598i) q^{79} +(4.67916 + 7.62270i) q^{80} +(2.31101 - 8.69823i) q^{81} +(-2.92158 - 2.73795i) q^{82} +(5.79930 + 1.55392i) q^{83} +(3.65224 - 8.81604i) q^{84} +(-8.96601 + 7.28899i) q^{85} +(-5.79382 + 10.8320i) q^{86} +(-3.21783 + 3.67314i) q^{87} +(-1.80970 + 10.9024i) q^{88} -4.19011 q^{89} +(-8.99508 + 3.01471i) q^{90} +7.17676i q^{91} +(-9.98655 - 1.99244i) q^{92} +(-3.47338 + 17.5102i) q^{93} +(-9.28376 - 4.96572i) q^{94} +(17.1466 + 1.76901i) q^{95} +(-6.69126 - 7.15731i) q^{96} +(-2.80843 + 10.4812i) q^{97} +(0.607222 + 0.569054i) q^{98} +(-10.8344 - 4.47437i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 6 q^{2} - 8 q^{6}+O(q^{10}) $ 256 * q + 6 * q^2 - 8 * q^6	$ 256 q + 6 q^{2} - 8 q^{6} - 10 q^{12} + 28 q^{15} + 12 q^{16} - 28 q^{18} - 54 q^{20} + 14 q^{22} - 28 q^{25} - 32 q^{28} + 14 q^{30} - 32 q^{31} - 114 q^{32} + 4 q^{33} - 40 q^{36} - 30 q^{38} + 46 q^{40} + 24 q^{41} - 10 q^{42} - 16 q^{46} + 24 q^{47} - 2 q^{48} + 78 q^{50} + 38 q^{52} - 8 q^{55} - 96 q^{56} - 80 q^{57} - 18 q^{58} - 2 q^{60} - 144 q^{63} - 84 q^{65} - 4 q^{66} - 30 q^{68} - 30 q^{70} - 86 q^{72} + 64 q^{73} + 16 q^{76} - 82 q^{78} + 72 q^{81} - 64 q^{82} + 48 q^{86} - 4 q^{87} + 38 q^{88} + 78 q^{90} - 108 q^{92} - 24 q^{95} - 116 q^{96} + 36 q^{97}+O(q^{100}) $ 256 * q + 6 * q^2 - 8 * q^6 - 10 * q^12 + 28 * q^15 + 12 * q^16 - 28 * q^18 - 54 * q^20 + 14 * q^22 - 28 * q^25 - 32 * q^28 + 14 * q^30 - 32 * q^31 - 114 * q^32 + 4 * q^33 - 40 * q^36 - 30 * q^38 + 46 * q^40 + 24 * q^41 - 10 * q^42 - 16 * q^46 + 24 * q^47 - 2 * q^48 + 78 * q^50 + 38 * q^52 - 8 * q^55 - 96 * q^56 - 80 * q^57 - 18 * q^58 - 2 * q^60 - 144 * q^63 - 84 * q^65 - 4 * q^66 - 30 * q^68 - 30 * q^70 - 86 * q^72 + 64 * q^73 + 16 * q^76 - 82 * q^78 + 72 * q^81 - 64 * q^82 + 48 * q^86 - 4 * q^87 + 38 * q^88 + 78 * q^90 - 108 * q^92 - 24 * q^95 - 116 * q^96 + 36 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−1.37718	−	0.321532i	−0.973811	−	0.227357i
$2$	−1.37718	−	0.321532i	−0.973811	−	0.227357i
$3$	1.63984	−	0.557615i	0.946760	−	0.321939i
$3$	1.63984	−	0.557615i	0.946760	−	0.321939i
$4$	1.79323	+	0.885613i	0.896617	+	0.442807i
$5$	2.22426	+	0.229476i	0.994720	+	0.102625i
$5$	2.22426	+	0.229476i	0.994720	+	0.102625i
$6$	−2.43764	+	0.240675i	−0.995161	+	0.0982551i
$7$	0.712972	−	2.66085i	0.269478	−	1.00571i	−0.689974	−	0.723834i	$-0.742378\pi$
$7$	0.712972	−	2.66085i	0.269478	−	1.00571i	0.959452	−	0.281872i	$-0.0909554\pi$
$8$	−2.18485	−	1.79623i	−0.772461	−	0.635063i
$9$	2.37813	−	1.82880i	0.792710	−	0.609599i
$10$	−2.98942	−	1.03120i	−0.945337	−	0.326094i
$11$	−1.95366	−	3.38384i	−0.589051	−	1.02027i	−0.994357	−	0.106085i	$-0.966168\pi$
$11$	−1.95366	−	3.38384i	−0.589051	−	1.02027i	0.405306	−	0.914181i	$-0.367165\pi$
$12$	3.43444	+	0.452326i	0.991438	+	0.130575i
$13$	−2.51649	+	0.674293i	−0.697950	+	0.187015i	−0.590312	−	0.807175i	$-0.700995\pi$
$13$	−2.51649	+	0.674293i	−0.697950	+	0.187015i	−0.107638	+	0.994190i	$0.534329\pi$
$14$	−1.83744	+	3.43522i	−0.491076	+	0.918100i
$15$	3.77539	−	0.863979i	0.974800	−	0.223078i
$16$	2.43138	+	3.17622i	0.607845	+	0.794056i
$17$	−3.65402	+	3.65402i	−0.886230	+	0.886230i	−0.994159	−	0.107928i	$-0.965578\pi$
$17$	−3.65402	+	3.65402i	−0.886230	+	0.886230i	0.107928	+	0.994159i	$0.465578\pi$
$18$	−3.86312	+	1.75393i	−0.910547	+	0.413406i
$19$	7.70890			1.76854			0.884271	−	0.466973i	$-0.154656\pi$
$19$	7.70890			1.76854			0.884271	+	0.466973i	$0.154656\pi$
$20$	3.78540	+	2.38134i	0.846440	+	0.532484i
$21$	−0.314571	−	4.76092i	−0.0686451	−	1.03892i
$22$	1.60252	+	5.28831i	0.341659	+	1.12747i
$23$	−4.91819	+	1.31782i	−1.02551	+	0.274785i	−0.732098	−	0.681200i	$-0.761459\pi$
$23$	−4.91819	+	1.31782i	−1.02551	+	0.274785i	−0.293415	+	0.955985i	$0.594792\pi$
$24$	−4.58440	−	1.72722i	−0.935787	−	0.352567i
$25$	4.89468	+	1.02083i	0.978936	+	0.204166i
$26$	3.68246	−	0.119487i	0.722191	−	0.0234333i
$27$	2.87998	−	4.32501i	0.554253	−	0.832348i
$28$	3.63501	−	4.14011i	0.686952	−	0.782407i
$29$	−2.44164	+	1.40968i	−0.453401	+	0.261771i	−0.709265	−	0.704942i	$-0.750973\pi$
$29$	−2.44164	+	1.40968i	−0.453401	+	0.261771i	0.255865	+	0.966713i	$0.417640\pi$
$30$	−5.47717	−	0.0240547i	−0.999990	−	0.00439176i
$31$	−5.15324	+	8.92568i	−0.925550	+	1.60310i	−0.134875	+	0.990863i	$0.543063\pi$
$31$	−5.15324	+	8.92568i	−0.925550	+	1.60310i	−0.790675	+	0.612236i	$0.790270\pi$
$32$	−2.32718	−	5.15599i	−0.411392	−	0.911459i
$33$	−5.09057	−	4.45955i	−0.886154	−	0.776309i
$34$	6.20712	−	3.85735i	1.06451	−	0.661530i
$35$	2.19644	−	5.75482i	0.371266	−	0.972741i
$36$	5.88415	−	1.17336i	0.980692	−	0.195559i
$37$	2.08862	−	2.08862i	0.343367	−	0.343367i	−0.514265	−	0.857632i	$-0.671935\pi$
$37$	2.08862	−	2.08862i	0.343367	−	0.343367i	0.857632	+	0.514265i	$0.171935\pi$
$38$	−10.6165	−	2.47866i	−1.72223	−	0.402091i
$39$	−3.75064	+	2.50897i	−0.600584	+	0.401756i
$40$	−4.44748	−	4.49665i	−0.703209	−	0.710983i
$41$	2.45194	+	1.41563i	0.382928	+	0.221084i	0.679092	−	0.734054i	$-0.262374\pi$
$41$	2.45194	+	1.41563i	0.382928	+	0.221084i	−0.296163	+	0.955137i	$0.595707\pi$
$42$	−1.09757	+	6.65778i	−0.169358	+	1.02732i
$43$	2.24815	−	8.39021i	0.342840	−	1.27950i	−0.552276	−	0.833661i	$-0.686240\pi$
$43$	2.24815	−	8.39021i	0.342840	−	1.27950i	0.895116	−	0.445834i	$-0.147093\pi$
$44$	−0.506599	−	7.79820i	−0.0763727	−	1.17562i
$45$	5.70925	−	3.52200i	0.851085	−	0.525028i
$46$	7.19694	−	0.233523i	1.06113	−	0.0344311i
$47$	7.19101	+	1.92683i	1.04892	+	0.281056i	0.741804	−	0.670617i	$-0.233971\pi$
$47$	7.19101	+	1.92683i	1.04892	+	0.281056i	0.307113	+	0.951673i	$0.400637\pi$
$48$	5.75818	+	3.85271i	0.831121	+	0.556091i
$49$	−0.509611	−	0.294224i	−0.0728015	−	0.0420320i
$50$	−6.41262	−	2.97966i	−0.906881	−	0.421387i
$51$	−3.95446	+	8.02954i	−0.553735	+	1.12436i
$52$	−5.10983	−	1.01948i	−0.708605	−	0.141376i
$53$	−1.08203	+	1.08203i	−0.148628	+	0.148628i	−0.777505	−	0.628877i	$-0.783515\pi$
$53$	−1.08203	+	1.08203i	−0.148628	+	0.148628i	0.628877	+	0.777505i	$0.283515\pi$
$54$	−5.35687	+	5.03030i	−0.728978	+	0.684537i
$55$	−3.56894	−	7.97486i	−0.481236	−	1.07533i
$56$	−6.33723	+	4.53289i	−0.846848	+	0.605733i
$57$	12.6413	−	4.29860i	1.67439	−	0.569363i
$58$	3.81582	−	1.15631i	0.501042	−	0.151832i
$59$	7.67822	+	4.43302i	0.999619	+	0.577130i	0.908136	−	0.418676i	$-0.137506\pi$
$59$	7.67822	+	4.43302i	0.999619	+	0.577130i	0.0914835	+	0.995807i	$0.470839\pi$
$60$	7.53530	+	1.79421i	0.972803	+	0.231632i
$61$	−4.69355	+	2.70982i	−0.600947	+	0.346957i	−0.769414	−	0.638750i	$-0.779452\pi$
$61$	−4.69355	+	2.70982i	−0.600947	+	0.346957i	0.168467	+	0.985707i	$0.446118\pi$
$62$	9.96682	−	10.6353i	1.26579	−	1.35069i
$63$	−3.17061	−	7.63173i	−0.399459	−	0.961507i
$64$	1.54713	+	7.84897i	0.193391	+	0.981122i
$65$	−5.75208	+	0.922329i	−0.713457	+	0.114401i
$66$	5.57672	+	7.77838i	0.686447	+	0.957452i
$67$	0.00765856	+	0.0285821i	0.000935642	+	0.00349186i	0.966392	−	0.257073i	$-0.0827580\pi$
$67$	0.00765856	+	0.0285821i	0.000935642	+	0.00349186i	−0.965456	+	0.260565i	$0.916091\pi$
$68$	−9.78857	+	3.31647i	−1.18704	+	0.402181i
$69$	−7.33019	+	4.90347i	−0.882451	+	0.590309i
$70$	−4.87524	+	7.21918i	−0.582703	+	0.862857i
$71$			1.45527i			0.172709i	0.996264	+	0.0863547i	$0.0275218\pi$
$71$			1.45527i			0.172709i	−0.996264	+	0.0863547i	$0.972478\pi$
$72$	−8.48079	−	0.276023i	−0.999471	−	0.0325296i
$73$	−9.51118	+	9.51118i	−1.11320	+	1.11320i	−0.120484	+	0.992715i	$0.538445\pi$
$73$	−9.51118	+	9.51118i	−1.11320	+	1.11320i	−0.992715	+	0.120484i	$0.961555\pi$
$74$	−3.54796	+	2.20484i	−0.412441	+	0.256307i
$75$	8.59571	−	1.05536i	0.992547	−	0.121862i
$76$	13.8239	+	6.82710i	1.58571	+	0.783122i
$77$	−10.3968	+	2.78581i	−1.18482	+	0.317473i
$78$	5.97201	−	2.24934i	0.676197	−	0.254687i
$79$	1.98489	−	1.14598i	0.223318	−	0.128933i	−0.384168	−	0.923263i	$-0.625512\pi$
$79$	1.98489	−	1.14598i	0.223318	−	0.128933i	0.607486	+	0.794331i	$0.292178\pi$
$80$	4.67916	+	7.62270i	0.523146	+	0.852243i
$81$	2.31101	−	8.69823i	0.256779	−	0.966470i
$82$	−2.92158	−	2.73795i	−0.322635	−	0.302356i
$83$	5.79930	+	1.55392i	0.636555	+	0.170565i	0.562643	−	0.826700i	$-0.309785\pi$
$83$	5.79930	+	1.55392i	0.636555	+	0.170565i	0.0739127	+	0.997265i	$0.476451\pi$
$84$	3.65224	−	8.81604i	0.398492	−	0.961909i
$85$	−8.96601	+	7.28899i	−0.972500	+	0.790602i
$86$	−5.79382	+	10.8320i	−0.624764	+	1.16804i
$87$	−3.21783	+	3.67314i	−0.344987	+	0.393802i
$88$	−1.80970	+	10.9024i	−0.192914	+	1.16220i
$89$	−4.19011			−0.444150			−0.222075	−	0.975030i	$-0.571283\pi$
$89$	−4.19011			−0.444150			−0.222075	+	0.975030i	$0.571283\pi$
$90$	−8.99508	+	3.01471i	−0.948165	+	0.317778i
$91$			7.17676i			0.752329i
$92$	−9.98655	−	1.99244i	−1.04117	−	0.207727i
$93$	−3.47338	+	17.5102i	−0.360173	+	1.81572i
$94$	−9.28376	−	4.96572i	−0.957547	−	0.512175i
$95$	17.1466	+	1.76901i	1.75921	+	0.181496i
$96$	−6.69126	−	7.15731i	−0.682924	−	0.730490i
$97$	−2.80843	+	10.4812i	−0.285153	+	1.06421i	0.663575	+	0.748110i	$0.269039\pi$
$97$	−2.80843	+	10.4812i	−0.285153	+	1.06421i	−0.948728	+	0.316095i	$0.897628\pi$
$98$	0.607222	+	0.569054i	0.0613387	+	0.0574832i
$99$	−10.8344	−	4.47437i	−1.08890	−	0.449691i
$100$	7.87325	+	6.16538i	0.787325	+	0.616538i
$101$	−0.583411	−	1.01050i	−0.0580516	−	0.100548i	0.835539	−	0.549431i	$-0.185155\pi$
$101$	−0.583411	−	1.01050i	−0.0580516	−	0.100548i	−0.893591	+	0.448883i	$0.851822\pi$
$102$	8.02775	−	9.78661i	0.794865	−	0.969019i
$103$	0.796493	+	2.97255i	0.0784808	+	0.292894i	0.994000	−	0.109380i	$-0.0348865\pi$
$103$	0.796493	+	2.97255i	0.0784808	+	0.292894i	−0.915519	+	0.402274i	$0.868220\pi$
$104$	6.70934	+	3.04697i	0.657905	+	0.298780i
$105$	0.392827	−	10.6617i	0.0383360	−	1.04048i
$106$	1.83805	−	1.14224i	0.178527	−	0.110944i
$107$	−4.34061	−	4.34061i	−0.419622	−	0.419622i	0.465451	−	0.885073i	$-0.345892\pi$
$107$	−4.34061	−	4.34061i	−0.419622	−	0.419622i	−0.885073	+	0.465451i	$0.845892\pi$
$108$	8.99477	−	5.20521i	0.865522	−	0.500871i
$109$	−1.65664			−0.158677			−0.0793386	−	0.996848i	$-0.525281\pi$
$109$	−1.65664			−0.158677			−0.0793386	+	0.996848i	$0.525281\pi$
$110$	2.35089	+	12.1303i	0.224149	+	1.15658i
$111$	2.26035	−	4.58964i	0.214543	−	0.435629i
$112$	10.1850	−	4.20497i	0.962388	−	0.397333i
$113$	−1.04780	+	0.280757i	−0.0985687	+	0.0264114i	−0.307766	−	0.951462i	$-0.599581\pi$
$113$	−1.04780	+	0.280757i	−0.0985687	+	0.0264114i	0.209198	+	0.977873i	$0.432915\pi$
$114$	−18.7915	+	1.85534i	−1.75999	+	0.173768i
$115$	−11.2417	+	1.80258i	−1.04830	+	0.168092i
$116$	−5.62686	+	0.365541i	−0.522441	+	0.0339396i
$117$	−4.75141	+	6.20571i	−0.439268	+	0.573718i
$118$	−9.14891	−	8.57385i	−0.842226	−	0.789287i
$119$	7.11758	+	12.3280i	0.652468	+	1.13011i
$120$	−9.80055	−	4.89379i	−0.894664	−	0.446740i
$121$	−2.13358	+	3.69547i	−0.193962	+	0.335952i
$122$	7.33514	−	2.22278i	0.664092	−	0.201241i
$123$	4.81015	+	0.954160i	0.433717	+	0.0860337i
$124$	−17.1457	+	11.4421i	−1.53973	+	1.02753i
$125$	10.6528	+	3.39380i	0.952815	+	0.303551i
$126$	1.91265	+	11.5297i	0.170392	+	1.02715i
$127$	−8.79715	−	8.79715i	−0.780620	−	0.780620i	0.199315	−	0.979935i	$-0.436128\pi$
$127$	−8.79715	−	8.79715i	−0.780620	−	0.780620i	−0.979935	+	0.199315i	$0.936128\pi$
$128$	0.393027	−	11.3069i	0.0347390	−	0.999396i
$129$	−0.991910	−	15.0122i	−0.0873328	−	1.32175i
$130$	8.21819	+	0.579266i	0.720783	+	0.0508050i
$131$	0.936922	−	1.62280i	0.0818593	−	0.141784i	−0.822189	−	0.569214i	$-0.807248\pi$
$131$	0.936922	−	1.62280i	0.0818593	−	0.141784i	0.904049	+	0.427430i	$0.140581\pi$
$132$	−5.17914	−	12.5053i	−0.450786	−	1.08845i
$133$	5.49623	−	20.5122i	0.476584	−	1.77863i
$134$	−0.00135712	−	0.0418251i	−0.000117238	−	0.00361314i
$135$	7.39832	−	8.95907i	0.636746	−	0.771074i
$136$	14.5469	−	1.42003i	1.24739	−	0.121766i
$137$	−0.919348	−	0.246339i	−0.0785452	−	0.0210461i	0.219332	−	0.975650i	$-0.429612\pi$
$137$	−0.919348	−	0.246339i	−0.0785452	−	0.0210461i	−0.297878	+	0.954604i	$0.596279\pi$
$138$	11.6716	−	4.39606i	0.993552	−	0.374218i
$139$	−1.52793	+	2.64646i	−0.129598	+	0.224470i	−0.923521	−	0.383549i	$-0.874702\pi$
$139$	−1.52793	+	2.64646i	−0.129598	+	0.224470i	0.793923	+	0.608018i	$0.208035\pi$
$140$	9.03527	−	8.37454i	0.763619	−	0.707778i
$141$	12.8665	−	0.850137i	1.08356	−	0.0715944i
$142$	0.467917	−	2.00417i	0.0392668	−	0.168186i
$143$	7.19807	+	7.19807i	0.601933	+	0.601933i
$144$	11.5908	+	3.10698i	0.965900	+	0.258915i
$145$	−5.75433	+	2.57520i	−0.477871	+	0.213859i
$146$	16.1567	−	10.0404i	1.33714	−	0.830952i
$147$	−0.999742	−	0.198312i	−0.0824573	−	0.0163565i
$148$	5.59509	−	1.89567i	0.459914	−	0.155824i
$149$	7.40735	+	4.27663i	0.606834	+	0.350356i	0.771725	−	0.635956i	$-0.219394\pi$
$149$	7.40735	+	4.27663i	0.606834	+	0.350356i	−0.164892	+	0.986312i	$0.552727\pi$
$150$	−12.1771	−	1.31038i	−0.994260	−	0.106992i
$151$	−8.08334	−	14.0007i	−0.657813	−	1.13936i	−0.981181	−	0.193092i	$-0.938149\pi$
$151$	−8.08334	−	14.0007i	−0.657813	−	1.13936i	0.323368	−	0.946273i	$-0.395185\pi$
$152$	−16.8428	−	13.8469i	−1.36613	−	1.12314i
$153$	−2.00728	+	15.3722i	−0.162279	+	1.24277i
$154$	15.2140	−	0.493656i	1.22598	−	0.0397799i
$155$	−13.5104	+	18.6705i	−1.08518	+	1.49965i
$156$	−8.94776	+	1.17754i	−0.716394	+	0.0942789i
$157$	1.91962	+	7.16414i	0.153203	+	0.571760i	0.999253	+	0.0386566i	$0.0123078\pi$
$157$	1.91962	+	7.16414i	0.153203	+	0.571760i	−0.846050	+	0.533104i	$0.821025\pi$
$158$	−3.10201	+	0.940008i	−0.246783	+	0.0747830i
$159$	−1.17099	+	2.37770i	−0.0928659	+	0.188564i
$160$	−3.99309	−	12.0023i	−0.315681	−	0.948865i
$161$			14.0261i			1.10541i
$162$	−5.97943	+	11.2359i	−0.469788	+	0.882779i
$163$	−8.60120	−	8.60120i	−0.673698	−	0.673698i	0.284868	−	0.958567i	$-0.408050\pi$
$163$	−8.60120	−	8.60120i	−0.673698	−	0.673698i	−0.958567	+	0.284868i	$0.908050\pi$
$164$	3.14320	+	4.71002i	0.245443	+	0.367791i
$165$	−10.2994	−	11.0874i	−0.801806	−	0.863151i
$166$	−7.48702	−	4.00468i	−0.581106	−	0.310823i
$167$	2.78676	+	10.4003i	0.215646	+	0.804801i	0.985938	+	0.167110i	$0.0534436\pi$
$167$	2.78676	+	10.4003i	0.215646	+	0.804801i	−0.770292	+	0.637691i	$0.779890\pi$
$168$	−7.86441	+	10.9669i	−0.606753	+	0.846118i
$169$	−5.38026	+	3.10629i	−0.413866	+	0.238946i
$170$	14.6914	−	7.15537i	1.12678	−	0.548792i
$171$	18.3328	−	14.0980i	1.40194	−	1.07810i
$172$	11.4619	−	13.0546i	0.873965	−	0.995406i
$173$	−13.8686	−	3.71608i	−1.05441	−	0.282528i	−0.310336	−	0.950627i	$-0.600442\pi$
$173$	−13.8686	−	3.71608i	−1.05441	−	0.282528i	−0.744073	+	0.668099i	$0.767108\pi$
$174$	5.61255	−	4.02393i	0.425486	−	0.305053i
$175$	6.20604	−	12.2962i	0.469133	−	0.929504i
$176$	5.99774	−	14.4327i	0.452097	−	1.08790i
$177$	15.0629	+	2.98794i	1.13220	+	0.224587i
$178$	5.77052	+	1.34725i	0.432519	+	0.100981i
$179$		−	7.45443i		−	0.557170i	−0.960412	−	0.278585i	$-0.910135\pi$
$179$		−	7.45443i		−	0.557170i	0.960412	−	0.278585i	$-0.0898654\pi$
$180$	13.3571	−	1.25958i	0.995583	−	0.0938837i
$181$			14.9391i			1.11042i	0.831711	+	0.555208i	$0.187361\pi$
$181$			14.9391i			1.11042i	−0.831711	+	0.555208i	$0.812639\pi$
$182$	2.30756	−	9.88367i	0.171048	−	0.732627i
$183$	−6.18561	+	7.06086i	−0.457254	+	0.521953i
$184$	13.1126	+	5.95494i	0.966675	+	0.439004i
$185$	5.12492	−	4.16635i	0.376792	−	0.306316i
$186$	10.4135	−	22.9978i	0.763558	−	1.68628i
$187$	19.5033	+	5.22590i	1.42623	+	0.382156i
$188$	11.1887	+	9.82370i	0.816023	+	0.716467i
$189$	−9.45485	−	10.7468i	−0.687739	−	0.781715i
$190$	−23.0451	−	7.94942i	−1.67187	−	0.576711i
$191$	3.93331	−	2.27090i	0.284605	−	0.164317i	−0.350902	−	0.936412i	$-0.614125\pi$
$191$	3.93331	−	2.27090i	0.284605	−	0.164317i	0.635506	+	0.772096i	$0.280791\pi$
$192$	6.91374	+	12.0083i	0.498957	+	0.866627i
$193$	−2.56635	−	9.57773i	−0.184730	−	0.689420i	−0.994688	−	0.102933i	$-0.967177\pi$
$193$	−2.56635	−	9.57773i	−0.184730	−	0.689420i	0.809959	−	0.586487i	$-0.199490\pi$
$194$	7.23775	−	13.5315i	0.519640	−	0.971504i
$195$	−8.91816	+	4.71991i	−0.638643	+	0.338000i
$196$	−0.653283	−	0.978930i	−0.0466631	−	0.0699236i
$197$	−10.2913	−	10.2913i	−0.733226	−	0.733226i	0.238031	−	0.971257i	$-0.423498\pi$
$197$	−10.2913	−	10.2913i	−0.733226	−	0.733226i	−0.971257	+	0.238031i	$0.923498\pi$
$198$	13.4823	+	9.64560i	0.958142	+	0.685483i
$199$		−	6.94064i		−	0.492009i	−0.969269	−	0.246004i	$-0.920882\pi$
$199$		−	6.94064i		−	0.492009i	0.969269	−	0.246004i	$-0.0791178\pi$
$200$	−8.86050	−	11.0223i	−0.626532	−	0.779396i
$201$	0.0284966	+	0.0425995i	0.00201000	+	0.00300474i
$202$	0.478553	+	1.57922i	0.0336709	+	0.111114i
$203$	2.01013	+	7.50189i	0.141083	+	0.526530i
$204$	−14.2023	+	10.8967i	−0.994363	+	0.762923i
$205$	5.12890	+	3.71139i	0.358218	+	0.259214i
$206$	−0.141141	−	4.34983i	−0.00983379	−	0.303067i
$207$	−9.28606	+	12.1283i	−0.645426	+	0.842977i
$208$	−8.26025	−	6.35349i	−0.572746	−	0.440535i
$209$	−15.0606	−	26.0857i	−1.04176	−	1.80438i
$210$	−3.96908	+	14.5568i	−0.273892	+	1.00451i
$211$	−13.0481	−	7.53333i	−0.898268	−	0.518616i	−0.0216304	−	0.999766i	$-0.506886\pi$
$211$	−13.0481	−	7.53333i	−0.898268	−	0.518616i	−0.876638	+	0.481151i	$0.840219\pi$
$212$	−2.89859	+	0.982072i	−0.199076	+	0.0674489i
$213$	0.811483	+	2.38641i	0.0556019	+	0.163514i
$214$	4.58214	+	7.37343i	0.313229	+	0.504037i
$215$	6.92583	−	18.1461i	0.472338	−	1.23756i
$216$	−14.0610	+	4.27639i	−0.956732	+	0.290971i
$217$	20.0758	+	20.0758i	1.36283	+	1.36283i
$218$	2.28149	+	0.532662i	0.154522	+	0.0360764i
$219$	−10.2932	+	20.9004i	−0.695550	+	1.41232i
$220$	0.662690	−	17.4615i	0.0446786	−	1.17725i
$221$	6.73144	−	11.6592i	0.452806	−	0.784283i
$222$	−4.58862	+	5.59397i	−0.307968	+	0.375443i
$223$	−4.94281	−	1.32442i	−0.330995	−	0.0886898i	0.0894944	−	0.995987i	$-0.471475\pi$
$223$	−4.94281	−	1.32442i	−0.330995	−	0.0886898i	−0.420489	+	0.907298i	$0.638142\pi$
$224$	−15.3785	+	2.51620i	−1.02752	+	0.168121i
$225$	13.5071	−	6.52371i	0.900472	−	0.434914i
$226$	1.53328	−	0.0497512i	0.101992	−	0.00330940i
$227$	−3.55385	+	13.2631i	−0.235877	+	0.880305i	0.741874	+	0.670539i	$0.233937\pi$
$227$	−3.55385	+	13.2631i	−0.235877	+	0.880305i	−0.977752	+	0.209766i	$0.932730\pi$
$228$	26.4758	+	3.48694i	1.75340	+	0.230928i
$229$	10.0503	−	17.4076i	0.664140	−	1.15032i	−0.315377	−	0.948966i	$-0.602131\pi$
$229$	10.0503	−	17.4076i	0.664140	−	1.15032i	0.979518	−	0.201359i	$-0.0645356\pi$
$230$	16.0615	+	1.13211i	1.05906	+	0.0746489i
$231$	−15.4956	+	10.3657i	−1.01954	+	0.682012i
$232$	7.86672	+	1.30580i	0.516475	+	0.0857300i
$233$	−1.91506	−	1.91506i	−0.125460	−	0.125460i	0.641589	−	0.767049i	$-0.278276\pi$
$233$	−1.91506	−	1.91506i	−0.125460	−	0.125460i	−0.767049	+	0.641589i	$0.778276\pi$
$234$	8.53887	−	7.01863i	0.558203	−	0.458822i
$235$	15.5525	+	5.93593i	1.01454	+	0.387217i
$236$	9.84291	+	14.7494i	0.640719	+	0.960103i
$237$	2.61588	−	2.98602i	0.169920	−	0.193963i
$238$	−5.83832	−	19.2664i	−0.378442	−	1.24885i
$239$	−2.99384	+	5.18549i	−0.193656	+	0.335421i	−0.946459	−	0.322824i	$-0.895368\pi$
$239$	−2.99384	+	5.18549i	−0.193656	+	0.335421i	0.752803	+	0.658245i	$0.228701\pi$
$240$	11.9236	+	9.89081i	0.769664	+	0.638449i
$241$	−7.35710	−	12.7429i	−0.473912	−	0.820840i	0.525642	−	0.850706i	$-0.323825\pi$
$241$	−7.35710	−	12.7429i	−0.473912	−	0.820840i	−0.999554	+	0.0298659i	$0.990492\pi$
$242$	4.12653	−	4.40330i	0.265263	−	0.283055i
$243$	−1.06059	−	15.5523i	−0.0680366	−	0.997683i
$244$	−10.8165	+	0.702677i	−0.692454	+	0.0449843i
$245$	−1.06599	−	0.771374i	−0.0681036	−	0.0492813i
$246$	−6.31764	−	2.86067i	−0.402798	−	0.182389i
$247$	−19.3994	+	5.19805i	−1.23435	+	0.330744i
$248$	27.2916	−	10.2449i	1.73302	−	0.650549i
$249$	10.3764	−	0.685605i	0.657577	−	0.0434485i
$250$	−13.5796	−	8.09908i	−0.858848	−	0.512231i
$251$	−5.23153			−0.330211			−0.165106	−	0.986276i	$-0.552797\pi$
$251$	−5.23153			−0.330211			−0.165106	+	0.986276i	$0.552797\pi$
$252$	1.07311	−	16.4934i	0.0675998	−	1.03899i
$253$	14.0678	+	14.0678i	0.884434	+	0.884434i
$254$	9.28667	+	14.9438i	0.582697	+	0.937657i
$255$	−10.6383	+	16.9523i	−0.666199	+	1.06160i
$256$	−4.17679	+	15.4452i	−0.261049	+	0.965325i
$257$	3.42355	+	12.7768i	0.213555	+	0.796998i	0.986670	+	0.162732i	$0.0520307\pi$
$257$	3.42355	+	12.7768i	0.213555	+	0.796998i	−0.773115	+	0.634265i	$0.781303\pi$
$258$	−3.46086	+	20.9934i	−0.215464	+	1.30699i
$259$	−4.06837	−	7.04663i	−0.252796	−	0.437856i
$260$	−11.1316	−	3.44016i	−0.690355	−	0.213350i
$261$	−3.22852	+	7.81766i	−0.199840	+	0.483901i
$262$	−1.81209	+	1.93363i	−0.111951	+	0.119460i
$263$	5.08655	−	18.9832i	0.313650	−	1.17056i	−0.611590	−	0.791175i	$-0.709470\pi$
$263$	5.08655	−	18.9832i	0.313650	−	1.17056i	0.925240	−	0.379382i	$-0.123864\pi$
$264$	3.11174	+	18.8873i	0.191514	+	1.16243i
$265$	−2.65501	+	2.15841i	−0.163096	+	0.132590i
$266$	−14.1646	+	26.4817i	−0.868489	+	1.62370i
$267$	−6.87109	+	2.33647i	−0.420504	+	0.142989i
$268$	−0.0115791	+	0.0580370i	−0.000707307	+	0.00354517i
$269$		−	6.70078i		−	0.408554i	−0.978913	−	0.204277i	$-0.934516\pi$
$269$		−	6.70078i		−	0.408554i	0.978913	−	0.204277i	$-0.0654843\pi$
$270$	−13.0694	+	9.95943i	−0.795380	+	0.606111i
$271$	−26.0732			−1.58383			−0.791916	−	0.610630i	$-0.790916\pi$
$271$	−26.0732			−1.58383			−0.791916	+	0.610630i	$0.790916\pi$
$272$	−20.4903	−	2.72168i	−1.24241	−	0.165026i
$273$	4.00187	+	11.7687i	0.242204	+	0.712275i
$274$	1.18690	+	0.634852i	0.0717032	+	0.0383528i
$275$	−6.10823	−	18.5572i	−0.368340	−	1.11904i
$276$	−17.4873	+	2.30137i	−1.05261	+	0.138526i
$277$	15.6965	+	4.20586i	0.943110	+	0.252705i	0.697436	−	0.716647i	$-0.254324\pi$
$277$	15.6965	+	4.20586i	0.943110	+	0.252705i	0.245674	+	0.969353i	$0.420991\pi$
$278$	2.95515	−	3.15336i	0.177238	−	0.189126i
$279$	4.06816	+	30.6507i	0.243554	+	1.83501i
$280$	−15.1358	+	8.62810i	−0.904540	+	0.515627i
$281$	5.14284	−	2.96922i	0.306796	−	0.177129i	−0.338696	−	0.940896i	$-0.609986\pi$
$281$	5.14284	−	2.96922i	0.306796	−	0.177129i	0.645492	+	0.763767i	$0.276652\pi$
$282$	−17.9928	−	2.96621i	−1.07146	−	0.176635i
$283$	−15.3280	+	4.10711i	−0.911152	+	0.244143i	−0.683799	−	0.729670i	$-0.739674\pi$
$283$	−15.3280	+	4.10711i	−0.911152	+	0.244143i	−0.227353	+	0.973812i	$0.573007\pi$
$284$	−1.28881	+	2.60965i	−0.0764768	+	0.154854i
$285$	29.1041	−	6.66033i	1.72398	−	0.394524i
$286$	−7.59861	−	12.2274i	−0.449315	−	0.723023i
$287$	5.51494	−	5.51494i	0.325536	−	0.325536i
$288$	−14.9636	−	8.00567i	−0.881738	−	0.471739i
$289$		−	9.70375i		−	0.570809i
$290$	8.75274	−	1.69631i	0.513979	−	0.0996106i
$291$	1.23911	+	18.7535i	0.0726380	+	1.09935i
$292$	−25.4790	+	8.63255i	−1.49105	+	0.505182i
$293$	7.13069	+	26.6121i	0.416579	+	1.55470i	0.781651	+	0.623716i	$0.214378\pi$
$293$	7.13069	+	26.6121i	0.416579	+	1.55470i	−0.365072	+	0.930979i	$0.618956\pi$
$294$	1.31306	+	0.594560i	0.0765791	+	0.0346755i
$295$	16.0611	+	11.6222i	0.935113	+	0.676669i
$296$	−8.31495	+	0.811680i	−0.483297	+	0.0471779i
$297$	−20.2616	−	1.29580i	−1.17570	−	0.0751898i
$298$	−8.82616	−	8.27138i	−0.511286	−	0.479148i
$299$	11.4880	−	6.63260i	0.664368	−	0.383573i
$300$	16.3488	+	5.71997i	0.943896	+	0.330243i
$301$	−20.7222	−	11.9640i	−1.19441	−	0.689592i
$302$	6.63050	+	21.8806i	0.381542	+	1.25909i
$303$	−1.52017	−	1.33173i	−0.0873314	−	0.0765061i
$304$	18.7433	+	24.4852i	1.07500	+	1.40432i
$305$	−11.0615	+	4.95029i	−0.633380	+	0.283453i
$306$	7.70703	−	20.5248i	0.440582	−	1.17333i
$307$	−20.5231	+	20.5231i	−1.17132	+	1.17132i	−0.189421	+	0.981896i	$0.560661\pi$
$307$	−20.5231	+	20.5231i	−1.17132	+	1.17132i	−0.981896	+	0.189421i	$0.939339\pi$
$308$	−21.1110	−	4.21192i	−1.20291	−	0.239996i
$309$	2.96366	+	4.43037i	0.168597	+	0.252035i
$310$	24.6094	−	21.3686i	1.39772	−	1.21365i
$311$	−15.8560	−	9.15448i	−0.899113	−	0.519103i	−0.0222007	−	0.999754i	$-0.507067\pi$
$311$	−15.8560	−	9.15448i	−0.899113	−	0.519103i	−0.876912	+	0.480650i	$0.840401\pi$
$312$	12.7013	+	1.25530i	0.719067	+	0.0710676i
$313$	17.4948	+	4.68772i	0.988865	+	0.264966i	0.716774	−	0.697306i	$-0.245618\pi$
$313$	17.4948	+	4.68772i	0.988865	+	0.264966i	0.272091	+	0.962271i	$0.412285\pi$
$314$	−0.340164	−	10.4835i	−0.0191966	−	0.591619i
$315$	−5.30097	−	17.7025i	−0.298676	−	0.997425i
$316$	4.57427	−	0.297161i	0.257323	−	0.0167166i
$317$	4.64027	−	17.3177i	0.260624	−	0.972661i	−0.704251	−	0.709951i	$-0.748717\pi$
$317$	4.64027	−	17.3177i	0.260624	−	0.972661i	0.964875	−	0.262710i	$-0.0846163\pi$
$318$	2.37717	−	2.89801i	0.133305	−	0.162512i
$319$	9.54026	+	5.50807i	0.534152	+	0.308393i
$320$	1.64007	+	17.8132i	0.0916826	+	0.995788i
$321$	−9.53827	−	4.69750i	−0.532374	−	0.262189i
$322$	4.50985	−	19.3165i	0.251324	−	1.07646i
$323$	−28.1685	+	28.1685i	−1.56734	+	1.56734i
$324$	11.8475	−	13.5513i	0.658192	−	0.752850i
$325$	−13.0058	+	0.731538i	−0.721431	+	0.0405785i
$326$	9.07982	+	14.6109i	0.502885	+	0.809225i
$327$	−2.71662	+	0.923767i	−0.150229	+	0.0510844i
$328$	−2.81432	−	7.49717i	−0.155395	−	0.413962i
$329$	10.2540	−	17.7604i	0.565320	−	0.979164i
$330$	10.6191	+	18.5809i	0.584564	+	1.02284i
$331$	−2.13272	+	1.23133i	−0.117225	+	0.0676798i	−0.557466	−	0.830200i	$-0.688226\pi$
$331$	−2.13272	+	1.23133i	−0.117225	+	0.0676798i	0.440241	+	0.897880i	$0.354893\pi$
$332$	9.02333	+	7.92247i	0.495219	+	0.434802i
$333$	1.14735	−	8.78667i	0.0628744	−	0.481506i
$334$	−0.493824	−	15.2191i	−0.0270208	−	0.832753i
$335$	0.0104757	+	0.0653316i	0.000572351	+	0.00356945i
$336$	14.3569	−	12.5748i	0.783234	−	0.686009i
$337$	22.4875	−	6.02551i	1.22497	−	0.328230i	0.412353	−	0.911024i	$-0.364707\pi$
$337$	22.4875	−	6.02551i	1.22497	−	0.328230i	0.812620	+	0.582794i	$0.198040\pi$
$338$	8.40834	−	2.54799i	0.457354	−	0.138592i
$339$	−1.56167	+	1.04466i	−0.0848180	+	0.0567384i
$340$	−22.5334	+	5.13045i	−1.22204	+	0.278238i
$341$	40.2707			2.18078
$342$	−29.7804	+	13.5209i	−1.61034	+	0.731125i
$343$	12.4889	−	12.4889i	0.674338	−	0.674338i
$344$	−19.9826	+	14.2932i	−1.07739	+	0.770635i
$345$	−17.4295	+	9.22451i	−0.938372	+	0.496631i
$346$	17.9047	+	9.57689i	0.962561	+	0.514857i
$347$	34.9685	−	9.36979i	1.87721	−	0.502997i	0.877483	−	0.479609i	$-0.159221\pi$
$347$	34.9685	−	9.36979i	1.87721	−	0.502997i	0.999726	−	0.0233880i	$-0.00744532\pi$
$348$	−9.02330	+	3.73705i	−0.483700	+	0.200327i
$349$	−4.79100	−	8.29825i	−0.256456	−	0.444195i	0.708834	−	0.705375i	$-0.249222\pi$
$349$	−4.79100	−	8.29825i	−0.256456	−	0.444195i	−0.965290	+	0.261180i	$0.915888\pi$
$350$	−12.5004	+	14.9386i	−0.668177	+	0.798501i
$351$	−4.33114	+	12.8258i	−0.231179	+	0.684591i
$352$	−12.9005	+	17.9479i	−0.687600	+	0.956624i
$353$	−1.56069	+	5.82457i	−0.0830671	+	0.310010i	−0.994941	−	0.100460i	$-0.967969\pi$
$353$	−1.56069	+	5.82457i	−0.0830671	+	0.310010i	0.911874	+	0.410470i	$0.134635\pi$
$354$	−19.7836	−	8.95815i	−1.05149	−	0.476120i
$355$	−0.333950	+	3.23691i	−0.0177242	+	0.171797i
$356$	−7.51384	−	3.71081i	−0.398233	−	0.196673i
$357$	18.5460	+	16.2471i	0.981557	+	0.859886i
$358$	−2.39684	+	10.2661i	−0.126677	+	0.542579i
$359$	15.0188			0.792664			0.396332	−	0.918107i	$-0.370283\pi$
$359$	15.0188			0.792664			0.396332	+	0.918107i	$0.370283\pi$
$360$	−18.8002	−	2.56008i	−0.990855	−	0.134928i
$361$	40.4271			2.12774
$362$	4.80341	−	20.5738i	0.252461	−	1.08134i
$363$	−1.43807	+	7.24968i	−0.0754793	+	0.380510i
$364$	−6.35583	+	12.8696i	−0.333136	+	0.674551i
$365$	−23.3379	+	18.9728i	−1.22156	+	0.993080i
$366$	10.7890	−	7.73518i	0.563949	−	0.404324i
$367$	4.79893	−	17.9098i	0.250502	−	0.934886i	−0.720036	−	0.693937i	$-0.755875\pi$
$367$	4.79893	−	17.9098i	0.250502	−	0.934886i	0.970538	−	0.240949i	$-0.0774588\pi$
$368$	−16.1437	−	12.4171i	−0.841548	−	0.647288i
$369$	8.41992	−	1.11755i	0.438324	−	0.0581773i
$370$	−8.39754	+	4.08997i	−0.436567	+	0.212628i
$371$	2.10766	+	3.65057i	0.109424	+	0.189528i
$372$	−21.7358	+	28.3238i	−1.12695	+	1.46852i
$373$	13.6521	−	3.65807i	0.706879	−	0.189408i	0.112569	−	0.993644i	$-0.464092\pi$
$373$	13.6521	−	3.65807i	0.706879	−	0.189408i	0.594310	+	0.804236i	$0.297425\pi$
$374$	−25.1793	−	13.4679i	−1.30199	−	0.696411i
$375$	19.3613	−	0.374882i	0.999813	−	0.0193588i
$376$	−12.2502	−	17.1265i	−0.631758	−	0.883233i
$377$	5.19383	−	5.19383i	0.267496	−	0.267496i
$378$	9.56556	+	17.8403i	0.491999	+	0.917606i
$379$	9.11517			0.468215			0.234108	−	0.972211i	$-0.424783\pi$
$379$	9.11517			0.468215			0.234108	+	0.972211i	$0.424783\pi$
$380$	29.1812	+	18.3575i	1.49697	+	0.941720i
$381$	−19.3313	−	9.52046i	−0.990373	−	0.487748i
$382$	−6.14704	+	1.86275i	−0.314510	+	0.0953063i
$383$	−6.07593	+	1.62804i	−0.310466	+	0.0831890i	−0.410688	−	0.911776i	$-0.634711\pi$
$383$	−6.07593	+	1.62804i	−0.310466	+	0.0831890i	0.100222	+	0.994965i	$0.468045\pi$
$384$	−5.66039	−	18.7606i	−0.288855	−	0.957373i
$385$	−23.7645	+	3.81056i	−1.21115	+	0.194204i
$386$	0.454766	+	14.0154i	0.0231470	+	0.713365i
$387$	−9.99759	−	24.0644i	−0.508206	−	1.22326i
$388$	−14.3185	+	16.3081i	−0.726910	+	0.827917i
$389$	26.3298	−	15.2015i	1.33497	−	0.770747i	0.348916	−	0.937154i	$-0.386550\pi$
$389$	26.3298	−	15.2015i	1.33497	−	0.770747i	0.986057	+	0.166407i	$0.0532165\pi$
$390$	13.7995	−	3.63268i	0.698764	−	0.183948i
$391$	13.1558	−	22.7865i	0.665318	−	1.15236i
$392$	0.584929	+	1.55821i	0.0295434	+	0.0787016i
$393$	0.631504	−	3.18356i	0.0318551	−	0.160590i
$394$	10.8640	+	17.4820i	0.547320	+	0.880728i
$395$	4.67789	−	2.09347i	0.235370	−	0.105334i
$396$	−15.4661	−	17.6187i	−0.777200	−	0.885372i
$397$	23.7838	−	23.7838i	1.19367	−	1.19367i	0.217647	−	0.976028i	$-0.430162\pi$
$397$	23.7838	−	23.7838i	1.19367	−	1.19367i	0.976028	−	0.217647i	$-0.0698382\pi$
$398$	−2.23164	+	9.55849i	−0.111862	+	0.479124i
$399$	−2.42500	−	36.7015i	−0.121402	−	1.83737i
$400$	8.65845	+	18.0286i	0.432922	+	0.901431i
$401$	−20.4875	−	11.8284i	−1.02310	−	0.590685i	−0.108097	−	0.994140i	$-0.534476\pi$
$401$	−20.4875	−	11.8284i	−1.02310	−	0.590685i	−0.914999	+	0.403456i	$0.867809\pi$
$402$	−0.0255478	−	0.0678297i	−0.00127421	−	0.00338304i
$403$	6.94958	−	25.9362i	0.346183	−	1.29197i
$404$	−0.151283	−	2.32874i	−0.00752661	−	0.115859i
$405$	7.13633	−	18.8168i	0.354607	−	0.935015i
$406$	−0.356202	−	10.9778i	−0.0176780	−	0.544817i
$407$	−11.1480	−	2.98710i	−0.552586	−	0.148065i
$408$	23.0628	−	10.4402i	1.14178	−	0.516867i
$409$	3.34179	+	1.92938i	0.165241	+	0.0954019i	0.580340	−	0.814374i	$-0.302920\pi$
$409$	3.34179	+	1.92938i	0.165241	+	0.0954019i	−0.415099	+	0.909776i	$0.636253\pi$
$410$	−5.87008	−	6.76034i	−0.289902	−	0.333870i
$411$	−1.64494	+	0.108687i	−0.0811391	+	0.00536115i
$412$	−1.20423	+	6.03587i	−0.0593283	+	0.297366i
$413$	17.2700	−	17.2700i	0.849799	−	0.849799i
$414$	16.6882	−	13.7171i	0.820180	−	0.674158i
$415$	12.5426	+	4.78712i	0.615690	+	0.234990i
$416$	9.33299	+	11.4058i	0.457587	+	0.559216i
$417$	−1.02986	+	5.19176i	−0.0504323	+	0.254241i
$418$	12.3537	+	40.7671i	0.604239	+	1.99398i
$419$	−24.3044	−	14.0322i	−1.18735	−	0.685516i	−0.229646	−	0.973274i	$-0.573757\pi$
$419$	−24.3044	−	14.0322i	−1.18735	−	0.685516i	−0.957703	+	0.287758i	$0.907090\pi$
$420$	10.1466	−	18.7711i	0.495103	−	0.915935i
$421$	−10.5762	+	6.10615i	−0.515450	+	0.297595i	−0.735071	−	0.677990i	$-0.762851\pi$
$421$	−10.5762	+	6.10615i	−0.515450	+	0.297595i	0.219621	+	0.975585i	$0.429518\pi$
$422$	15.5473	+	14.5701i	0.756833	+	0.709262i
$423$	20.6249	−	8.56865i	1.00282	−	0.416622i
$424$	4.30764	−	0.420498i	0.209197	−	0.0204212i
$425$	−21.6154	+	14.1551i	−1.04850	+	0.686625i
$426$	−0.350248	−	3.54743i	−0.0169696	−	0.171874i
$427$	3.86405	+	14.4208i	0.186995	+	0.697874i
$428$	−3.93963	−	11.6278i	−0.190429	−	0.562052i
$429$	15.8174	+	7.78991i	0.763672	+	0.376100i
$430$	−15.3727	+	22.7636i	−0.741335	+	1.09776i
$431$		−	6.90289i		−	0.332501i	−0.986084	−	0.166250i	$-0.946834\pi$
$431$		−	6.90289i		−	0.332501i	0.986084	−	0.166250i	$-0.0531660\pi$
$432$	20.7395	−	1.36827i	0.997831	−	0.0658309i
$433$	−12.4346	+	12.4346i	−0.597567	+	0.597567i	−0.939665	−	0.342097i	$-0.888863\pi$
$433$	−12.4346	+	12.4346i	−0.597567	+	0.597567i	0.342097	+	0.939665i	$0.388863\pi$
$434$	−21.1929	−	34.1029i	−1.01729	−	1.63699i
$435$	−8.00019	+	7.43161i	−0.383580	+	0.356318i
$436$	−2.97074	−	1.46714i	−0.142273	−	0.0702633i
$437$	−37.9138	+	10.1590i	−1.81366	+	0.485970i
$438$	20.8957	−	25.4739i	0.998435	−	1.21719i
$439$	−4.57969	+	2.64408i	−0.218576	+	0.126195i	−0.605291	−	0.796004i	$-0.706943\pi$
$439$	−4.57969	+	2.64408i	−0.218576	+	0.126195i	0.386714	+	0.922200i	$0.373610\pi$
$440$	−6.52707	+	23.8345i	−0.311166	+	1.13627i
$441$	−1.75000	+	0.232271i	−0.0833331	+	0.0110605i
$442$	−13.0192	+	13.8924i	−0.619260	+	0.660795i
$443$	9.97384	+	2.67248i	0.473872	+	0.126974i	0.487848	−	0.872929i	$-0.337782\pi$
$443$	9.97384	+	2.67248i	0.473872	+	0.126974i	−0.0139760	+	0.999902i	$0.504449\pi$
$444$	8.11798	−	6.22851i	0.385262	−	0.295592i
$445$	−9.31989	−	0.961528i	−0.441805	−	0.0455808i
$446$	6.38128	+	3.41323i	0.302162	+	0.161621i
$447$	14.5316	+	2.88253i	0.687319	+	0.136339i
$448$	21.9880	+	1.47943i	1.03884	+	0.0698964i
$449$	−2.56993			−0.121283			−0.0606413	−	0.998160i	$-0.519315\pi$
$449$	−2.56993			−0.121283			−0.0606413	+	0.998160i	$0.519315\pi$
$450$	−20.6992	+	4.64135i	−0.975771	+	0.218795i
$451$		−	11.0626i		−	0.520919i
$452$	−2.12759	−	0.424482i	−0.100074	−	0.0199659i
$453$	−21.0624	−	18.4516i	−0.989597	−	0.866930i
$454$	9.15880	−	17.1230i	0.429844	−	0.803623i
$455$	−1.64689	+	15.9630i	−0.0772076	+	0.748357i
$456$	−35.3407	−	13.3149i	−1.65498	−	0.623529i
$457$	−3.39083	+	12.6547i	−0.158616	+	0.591964i	0.840152	+	0.542351i	$0.182466\pi$
$457$	−3.39083	+	12.6547i	−0.158616	+	0.591964i	−0.998769	+	0.0496132i	$0.984201\pi$
$458$	−19.4381	+	20.7418i	−0.908282	+	0.969202i
$459$	5.28016	+	26.3272i	0.246457	+	1.22885i
$460$	−21.7555	−	6.72339i	−1.01435	−	0.313480i
$461$	−15.5122	−	26.8680i	−0.722476	−	1.25137i	−0.960004	−	0.279985i	$-0.909670\pi$
$461$	−15.5122	−	26.8680i	−0.722476	−	1.25137i	0.237528	−	0.971381i	$-0.423663\pi$
$462$	24.6731	−	9.29305i	1.14790	−	0.432352i
$463$	−1.40779	−	5.25394i	−0.0654255	−	0.244171i	0.925467	−	0.378829i	$-0.123673\pi$
$463$	−1.40779	−	5.25394i	−0.0654255	−	0.244171i	−0.990892	+	0.134658i	$0.957006\pi$
$464$	−10.4140	−	4.32772i	−0.483458	−	0.200909i
$465$	−11.7439	+	38.1502i	−0.544609	+	1.76917i
$466$	2.02163	+	3.25313i	0.0936500	+	0.150699i
$467$	−11.2686	−	11.2686i	−0.521447	−	0.521447i	0.396561	−	0.918008i	$-0.370203\pi$
$467$	−11.2686	−	11.2686i	−0.521447	−	0.521447i	−0.918008	+	0.396561i	$0.870203\pi$
$468$	−14.0162	+	6.92038i	−0.647901	+	0.319895i
$469$	0.0815131			0.00376392
$470$	−19.5100	−	13.1755i	−0.899929	−	0.607739i
$471$	7.14270	+	10.6776i	0.329118	+	0.491998i
$472$	−8.81303	−	23.4773i	−0.405653	−	1.08063i
$473$	−32.7833	+	8.78425i	−1.50738	+	0.403900i
$474$	−4.56264	+	3.27119i	−0.209569	+	0.150251i
$475$	37.7326	+	7.86947i	1.73129	+	0.361076i
$476$	1.84564	+	28.4104i	0.0845949	+	1.30219i
$477$	−0.594395	+	4.55201i	−0.0272155	+	0.208422i
$478$	5.79035	−	6.17872i	0.264845	−	0.282608i
$479$	14.1680	+	24.5398i	0.647354	+	1.12125i	0.983752	+	0.179530i	$0.0574577\pi$
$479$	14.1680	+	24.5398i	0.647354	+	1.12125i	−0.336399	+	0.941720i	$0.609209\pi$
$480$	−13.2407	−	17.4552i	−0.604352	−	0.796718i
$481$	−3.84766	+	6.66434i	−0.175438	+	0.303868i
$482$	6.03479	+	19.9147i	0.274877	+	0.907091i
$483$	7.82118	+	23.0006i	0.355876	+	1.04656i
$484$	−7.09877	+	4.73732i	−0.322671	+	0.215333i
$485$	−8.65187	+	22.6685i	−0.392861	+	1.02932i
$486$	−3.53996	+	21.7593i	−0.160576	+	0.987024i
$487$	25.6301	+	25.6301i	1.16141	+	1.16141i	0.984167	+	0.177242i	$0.0567175\pi$
$487$	25.6301	+	25.6301i	1.16141	+	1.16141i	0.177242	+	0.984167i	$0.443282\pi$
$488$	15.1221	+	2.51013i	0.684547	+	0.113628i
$489$	−18.9007	−	9.30841i	−0.854721	−	0.420941i
$490$	1.22004	+	1.40507i	0.0551156	+	0.0634745i
$491$	17.1193	−	29.6515i	0.772584	−	1.33815i	−0.163559	−	0.986534i	$-0.552297\pi$
$491$	17.1193	−	29.6515i	0.772584	−	1.33815i	0.936142	−	0.351621i	$-0.114369\pi$
$492$	7.78072	+	5.97097i	0.350782	+	0.269192i
$493$	3.77079	−	14.0728i	0.169828	−	0.633807i
$494$	28.3878	−	0.921114i	1.27723	−	0.0414429i
$495$	−23.0718	−	12.4384i	−1.03700	−	0.559064i
$496$	−40.8794	+	5.33386i	−1.83554	+	0.239497i
$497$	3.87227	+	1.03757i	0.173695	+	0.0465414i
$498$	−14.5106	−	2.39214i	−0.650234	−	0.107194i
$499$	3.00963	−	5.21283i	0.134729	−	0.233358i	−0.790765	−	0.612120i	$-0.790317\pi$
$499$	3.00963	−	5.21283i	0.134729	−	0.233358i	0.925494	+	0.378762i	$0.123650\pi$
$500$	16.0974	+	15.5201i	0.719896	+	0.694082i
$501$	10.3692	+	15.5009i	0.463262	+	0.692529i
$502$	7.20475	+	1.68210i	0.321564	+	0.0750760i
$503$	−3.25752	−	3.25752i	−0.145246	−	0.145246i	0.630745	−	0.775990i	$-0.282750\pi$
$503$	−3.25752	−	3.25752i	−0.145246	−	0.145246i	−0.775990	+	0.630745i	$0.782750\pi$
$504$	−6.78102	+	22.3693i	−0.302051	+	0.996408i
$505$	−1.06577	−	2.38149i	−0.0474264	−	0.105975i
$506$	−14.8506	−	23.8971i	−0.660189	−	1.06235i
$507$	−7.09063	+	8.09393i	−0.314906	+	0.359464i
$508$	−7.98448	−	23.5662i	−0.354254	−	1.04558i
$509$	22.3483	+	12.9028i	0.990572	+	0.571907i	0.905445	−	0.424463i	$-0.139537\pi$
$509$	22.3483	+	12.9028i	0.990572	+	0.571907i	0.0851268	+	0.996370i	$0.472870\pi$
$510$	20.1016	−	19.9258i	0.890114	−	0.882330i
$511$	18.5266	+	32.0890i	0.819569	+	1.41953i
$512$	10.7183	−	19.9278i	0.473687	−	0.880693i
$513$	22.2015	−	33.3411i	0.980220	−	1.47204i
$514$	−0.606665	−	18.6968i	−0.0267588	−	0.824679i
$515$	1.08948	+	6.79451i	0.0480082	+	0.299402i
$516$	11.5163	−	27.7988i	0.506975	−	1.22377i
$517$	−7.52873	−	28.0976i	−0.331113	−	1.23573i
$518$	3.33715	+	11.0126i	0.146626	+	0.483864i
$519$	−24.8144	+	1.63957i	−1.08923	+	0.0719693i
$520$	14.2241	+	8.31689i	0.623769	+	0.364720i
$521$		−	40.8394i		−	1.78921i	−0.446860	−	0.894604i	$-0.647458\pi$
$521$		−	40.8394i		−	1.78921i	0.446860	−	0.894604i	$-0.352542\pi$
$522$	6.95987	−	9.72823i	0.304625	−	0.425793i
$523$	5.20887	+	5.20887i	0.227768	+	0.227768i	0.811760	−	0.583992i	$-0.198510\pi$
$523$	5.20887	+	5.20887i	0.227768	+	0.227768i	−0.583992	+	0.811760i	$0.698510\pi$
$524$	3.11729	−	2.08031i	0.136180	−	0.0908785i
$525$	3.32036	−	23.6243i	0.144912	−	1.03105i
$526$	−13.1088	+	24.5078i	−0.571571	+	1.06859i
$527$	−13.7846	−	51.4447i	−0.600465	−	2.24096i
$528$	1.78745	−	27.0116i	0.0777886	−	1.17553i
$529$	2.53333	−	1.46262i	0.110145	−	0.0635922i
$530$	4.35042	−	2.11885i	0.188970	−	0.0920368i
$531$	26.3669	−	3.49959i	1.14423	−	0.151869i
$532$	28.0219	−	31.9157i	1.21490	−	1.38372i
$533$	−7.12484	−	1.90909i	−0.308611	−	0.0826920i
$534$	10.2140	−	1.00845i	0.442001	−	0.0436401i
$535$	−8.65858	−	10.6507i	−0.374343	−	0.460470i
$536$	0.0346072	−	0.0762042i	0.00149481	−	0.00329152i
$537$	−4.15670	−	12.2241i	−0.179375	−	0.527507i
$538$	−2.15452	+	9.22816i	−0.0928877	+	0.397854i
$539$			2.29925i			0.0990359i
$540$	21.2012	−	9.51366i	0.912354	−	0.409403i
$541$			40.8502i			1.75629i	0.478397	+	0.878144i	$0.341218\pi$
$541$			40.8502i			1.75629i	−0.478397	+	0.878144i	$0.658782\pi$
$542$	35.9074	+	8.38335i	1.54235	+	0.360096i
$543$	8.33028	+	24.4977i	0.357487	+	1.05130i
$544$	27.3437	+	10.3365i	1.17235	+	0.443175i
$545$	−3.68480	−	0.380159i	−0.157839	−	0.0162842i
$546$	−1.72727	−	17.4943i	−0.0739202	−	0.748689i
$547$	−13.8264	−	3.70477i	−0.591174	−	0.158405i	−0.0491843	−	0.998790i	$-0.515662\pi$
$547$	−13.8264	−	3.70477i	−0.591174	−	0.158405i	−0.541990	+	0.840385i	$0.682329\pi$
$548$	−1.43045	−	1.25593i	−0.0611056	−	0.0536506i
$549$	−6.20616	+	15.0278i	−0.264872	+	0.641373i
$550$	2.44539	+	27.5205i	0.104272	+	1.17348i
$551$	−18.8223	+	10.8671i	−0.801859	+	0.462953i
$552$	24.8231	+	2.45334i	1.05654	+	0.104421i
$553$	−1.63410	−	6.09854i	−0.0694890	−	0.259337i
$554$	−20.2645	−	10.8391i	−0.860956	−	0.460510i
$555$	6.08082	−	9.68986i	0.258116	−	0.411312i
$556$	−5.08368	+	3.39256i	−0.215596	+	0.143877i
$557$	21.5912	+	21.5912i	0.914850	+	0.914850i	0.996649	−	0.0817986i	$-0.0260664\pi$
$557$	21.5912	+	21.5912i	0.914850	+	0.914850i	−0.0817986	+	0.996649i	$0.526066\pi$
$558$	4.25259	−	43.5194i	0.180026	−	1.84232i
$559$			22.6298i			0.957140i
$560$	23.6190	−	7.01576i	0.998083	−	0.296470i
$561$	34.8963	−	2.30573i	1.47332	−	0.0973479i
$562$	−8.03731	+	2.43556i	−0.339033	+	0.102738i
$563$	4.42406	+	16.5108i	0.186452	+	0.695847i	0.994315	+	0.106478i	$0.0339572\pi$
$563$	4.42406	+	16.5108i	0.186452	+	0.695847i	−0.807863	+	0.589370i	$0.799376\pi$
$564$	23.8256	+	9.87025i	1.00324	+	0.415613i
$565$	−2.39501	+	0.384032i	−0.100759	+	0.0161564i
$566$	22.4299	−	0.727795i	0.942798	−	0.0305915i
$567$	−21.4970	−	12.3508i	−0.902789	−	0.518687i
$568$	2.61401	−	3.17956i	0.109681	−	0.133411i
$569$	20.3316	+	35.2154i	0.852345	+	1.47631i	0.879086	+	0.476663i	$0.158154\pi$
$569$	20.3316	+	35.2154i	0.852345	+	1.47631i	−0.0267411	+	0.999642i	$0.508513\pi$
$570$	−42.2230	−	0.185435i	−1.76853	−	0.00776702i
$571$	−36.3892	−	21.0093i	−1.52284	−	0.879212i	−0.999635	−	0.0270058i	$-0.991403\pi$
$571$	−36.3892	−	21.0093i	−1.52284	−	0.879212i	−0.523205	−	0.852207i	$-0.675264\pi$
$572$	6.53313	+	19.2825i	0.273164	+	0.806244i
$573$	5.18371	−	5.91718i	0.216552	−	0.247194i
$574$	−9.36827	+	5.82182i	−0.391024	+	0.242998i
$575$	−25.4182	+	1.42970i	−1.06001	+	0.0596228i
$576$	18.0334	+	15.8365i	0.751394	+	0.659854i
$577$	−20.7961	−	20.7961i	−0.865753	−	0.865753i	0.126246	−	0.991999i	$-0.459707\pi$
$577$	−20.7961	−	20.7961i	−0.865753	−	0.865753i	−0.991999	+	0.126246i	$0.959707\pi$
$578$	−3.12006	+	13.3638i	−0.129778	+	0.555860i
$579$	−9.54908	−	14.2749i	−0.396846	−	0.593244i
$580$	−12.5995	−	0.478170i	−0.523165	−	0.0198549i
$581$	8.26948	−	14.3232i	0.343076	−	0.594224i
$582$	4.32337	−	26.2253i	0.179210	−	1.08707i
$583$	5.77532	+	1.54749i	0.239189	+	0.0640906i
$584$	37.8647	−	3.69624i	1.56685	−	0.152951i
$585$	−11.9924	+	12.7128i	−0.495826	+	0.525609i
$586$	−1.26358	−	38.9423i	−0.0521982	−	1.60869i
$587$	0.550676	−	2.05515i	0.0227288	−	0.0848251i	−0.953630	−	0.300982i	$-0.902686\pi$
$587$	0.550676	−	2.05515i	0.0227288	−	0.0848251i	0.976359	+	0.216157i	$0.0693523\pi$
$588$	−1.61714	−	1.24101i	−0.0666899	−	0.0511782i
$589$	−39.7258	+	68.8071i	−1.63687	+	2.83515i
$590$	−18.3821	−	21.1699i	−0.756778	−	0.871553i
$591$	−22.6147	−	11.1375i	−0.930244	−	0.458135i
$592$	11.7121	+	1.55570i	0.481366	+	0.0639387i
$593$	25.7369	+	25.7369i	1.05689	+	1.05689i	0.998281	+	0.0586071i	$0.0186659\pi$
$593$	25.7369	+	25.7369i	1.05689	+	1.05689i	0.0586071	+	0.998281i	$0.481334\pi$
$594$	27.4872	+	8.29931i	1.12781	+	0.340525i
$595$	13.0024	+	29.0540i	0.533046	+	1.19110i
$596$	9.49567	+	14.2291i	0.388958	+	0.582845i
$597$	−3.87021	−	11.3815i	−0.158397	−	0.465814i
$598$	−17.9536	+	5.44050i	−0.734177	+	0.222479i
$599$	6.40009	−	11.0853i	0.261501	−	0.452932i	−0.705140	−	0.709068i	$-0.749116\pi$
$599$	6.40009	−	11.0853i	0.261501	−	0.452932i	0.966641	+	0.256135i	$0.0824493\pi$
$600$	−20.6760	−	13.1341i	−0.844094	−	0.536196i
$601$	3.97906	+	6.89194i	0.162309	+	0.281128i	0.935697	−	0.352806i	$-0.114772\pi$
$601$	3.97906	+	6.89194i	0.162309	+	0.281128i	−0.773387	+	0.633934i	$0.781439\pi$
$602$	24.6914	+	23.1394i	1.00635	+	0.943091i
$603$	0.0704840	+	0.0539661i	0.00287033	+	0.00219767i
$604$	−2.09607	−	32.2653i	−0.0852879	−	1.31286i
$605$	−5.59366	+	7.73009i	−0.227415	+	0.314273i
$606$	1.66535	+	2.32282i	0.0676501	+	0.0943579i
$607$	−9.78696	+	2.62241i	−0.397240	+	0.106440i	−0.451908	−	0.892064i	$-0.649257\pi$
$607$	−9.78696	+	2.62241i	−0.397240	+	0.106440i	0.0546681	+	0.998505i	$0.482590\pi$
$608$	−17.9400	−	39.7470i	−0.727564	−	1.61195i
$609$	7.47945	+	11.1810i	0.303083	+	0.453077i
$610$	16.8253	−	3.26080i	0.681238	−	0.132026i
$611$	−19.3954			−0.784653
$612$	−17.2133	+	25.7883i	−0.695808	+	1.04243i
$613$	−15.9443	−	15.9443i	−0.643984	−	0.643984i	0.307549	−	0.951532i	$-0.400491\pi$
$613$	−15.9443	−	15.9443i	−0.643984	−	0.643984i	−0.951532	+	0.307549i	$0.900491\pi$
$614$	34.8628	−	21.6651i	1.40695	−	0.874334i
$615$	10.4801	+	3.22612i	0.422598	+	0.130090i
$616$	27.7194	+	12.5884i	1.11685	+	0.507203i
$617$	−4.60641	−	17.1914i	−0.185447	−	0.692098i	−0.994534	−	0.104409i	$-0.966705\pi$
$617$	−4.60641	−	17.1914i	−0.185447	−	0.692098i	0.809087	−	0.587688i	$-0.199962\pi$
$618$	−2.65698	−	7.05431i	−0.106879	−	0.283766i
$619$	−7.68762	−	13.3153i	−0.308991	−	0.535189i	0.669151	−	0.743127i	$-0.266658\pi$
$619$	−7.68762	−	13.3153i	−0.308991	−	0.535189i	−0.978142	+	0.207938i	$0.933325\pi$
$620$	−40.7621	+	21.5156i	−1.63705	+	0.864087i
$621$	−8.46469	+	25.0665i	−0.339676	+	1.00588i
$622$	18.8931	+	17.7056i	0.757545	+	0.709929i
$623$	−2.98743	+	11.1492i	−0.119689	+	0.446685i
$624$	−17.0883	−	5.81264i	−0.684078	−	0.232692i
$625$	22.9158	+	9.99326i	0.916633	+	0.399730i
$626$	−22.5862	−	12.0810i	−0.902726	−	0.482852i
$627$	−39.2427	−	34.3783i	−1.56720	−	1.37294i
$628$	−2.90232	+	14.5470i	−0.115815	+	0.580489i
$629$			15.2637i			0.608604i
$630$	1.60844	+	26.0840i	0.0640818	+	1.03921i
$631$	11.6671			0.464461			0.232230	−	0.972661i	$-0.425398\pi$
$631$	11.6671			0.464461			0.232230	+	0.972661i	$0.425398\pi$
$632$	−6.39512	−	1.06153i	−0.254384	−	0.0422254i
$633$	−25.5975	−	5.07761i	−1.01741	−	0.201817i
$634$	−11.9587	+	22.3576i	−0.474940	+	0.887934i
$635$	−17.5484	−	21.5859i	−0.696388	−	0.856610i
$636$	−4.20559	+	3.22673i	−0.166763	+	0.127948i
$637$	1.48083	+	0.396786i	0.0586724	+	0.0157212i
$638$	−11.3676	−	10.6531i	−0.450048	−	0.421760i
$639$	2.66140	+	3.46083i	0.105283	+	0.136908i
$640$	3.46885	−	25.0593i	0.137118	−	0.990555i
$641$	−1.03665	+	0.598513i	−0.0409454	+	0.0236398i	−0.520333	−	0.853963i	$-0.674192\pi$
$641$	−1.03665	+	0.598513i	−0.0409454	+	0.0236398i	0.479388	+	0.877603i	$0.340859\pi$
$642$	11.6255	+	9.53615i	0.458822	+	0.376362i
$643$	36.8115	−	9.86361i	1.45170	−	0.388983i	0.555088	−	0.831792i	$-0.312685\pi$
$643$	36.8115	−	9.86361i	1.45170	−	0.388983i	0.896616	+	0.442809i	$0.146018\pi$
$644$	−12.4217	+	25.1521i	−0.489484	+	0.991133i
$645$	1.23867	−	33.6187i	0.0487725	−	1.32373i
$646$	47.8501	−	29.7359i	1.88264	−	1.16994i
$647$	−9.89596	+	9.89596i	−0.389050	+	0.389050i	−0.874349	−	0.485298i	$-0.838711\pi$
$647$	−9.89596	+	9.89596i	−0.389050	+	0.389050i	0.485298	+	0.874349i	$0.338711\pi$
$648$	−20.6732	+	14.8532i	−0.812121	+	0.583489i
$649$		−	34.6425i		−	1.35984i
$650$	18.1465	+	3.17431i	0.711763	+	0.124507i
$651$	44.1155	+	21.7264i	1.72902	+	0.851526i
$652$	−7.80664	−	23.0413i	−0.305731	−	0.902367i
$653$	−8.31432	−	31.0295i	−0.325364	−	1.21428i	−0.913945	−	0.405838i	$-0.866980\pi$
$653$	−8.31432	−	31.0295i	−0.325364	−	1.21428i	0.588581	−	0.808438i	$-0.299687\pi$
$654$	4.03828	−	0.398711i	0.157909	−	0.0155909i
$655$	2.45635	−	3.39452i	0.0959777	−	0.132635i
$656$	1.46524	+	11.2298i	0.0572081	+	0.438451i
$657$	−5.22482	+	40.0128i	−0.203840	+	1.56105i
$658$	−19.8321	+	21.1623i	−0.773135	+	0.824991i
$659$	−4.21219	+	2.43191i	−0.164084	+	0.0947338i	−0.579793	−	0.814764i	$-0.696867\pi$
$659$	−4.21219	+	2.43191i	−0.164084	+	0.0947338i	0.415709	+	0.909497i	$0.363533\pi$
$660$	−8.65009	−	29.0035i	−0.336704	−	1.12896i
$661$	16.6555	+	9.61603i	0.647822	+	0.374020i	0.787621	−	0.616160i	$-0.211312\pi$
$661$	16.6555	+	9.61603i	0.647822	+	0.374020i	−0.139799	+	0.990180i	$0.544646\pi$
$662$	3.33304	−	1.01002i	0.129542	−	0.0392554i
$663$	4.53712	−	22.8727i	0.176207	−	0.888304i
$664$	−9.87939	−	13.8119i	−0.383395	−	0.536007i
$665$	16.9321	−	44.3633i	0.656599	−	1.72033i
$666$	−4.40530	+	11.7319i	−0.170702	+	0.454601i
$667$	10.1507	−	10.1507i	0.393038	−	0.393038i
$668$	−4.21335	+	21.1182i	−0.163019	+	0.817088i
$669$	−8.84391	+	0.584349i	−0.341925	+	0.0225923i
$670$	0.00657926	−	0.0933415i	0.000254179	−	0.00360610i
$671$	18.3392	+	10.5881i	0.707977	+	0.408751i
$672$	−23.8152	+	12.7015i	−0.918691	+	0.489970i
$673$	21.8547	+	5.85595i	0.842436	+	0.225730i	0.654132	−	0.756380i	$-0.273034\pi$
$673$	21.8547	+	5.85595i	0.842436	+	0.225730i	0.188305	+	0.982111i	$0.439701\pi$
$674$	−32.9067	+	1.06774i	−1.26752	+	0.0411279i
$675$	18.5117	−	18.2296i	0.712515	−	0.701657i
$676$	−12.3990	+	0.805486i	−0.476886	+	0.0309802i
$677$	−7.86325	+	29.3461i	−0.302209	+	1.12786i	0.633112	+	0.774060i	$0.281777\pi$
$677$	−7.86325	+	29.3461i	−0.302209	+	1.12786i	−0.935321	+	0.353800i	$0.884889\pi$
$678$	2.48658	−	0.936563i	0.0954967	−	0.0359685i
$679$	25.8866	+	14.9456i	0.993436	+	0.573560i
$680$	32.6821	+	0.179658i	1.25330	+	0.00688959i
$681$	1.56800	+	23.7311i	0.0600858	+	0.909376i
$682$	−55.4600	−	12.9483i	−2.12367	−	0.495817i
$683$	−11.9467	+	11.9467i	−0.457127	+	0.457127i	−0.897711	−	0.440584i	$-0.854771\pi$
$683$	−11.9467	+	11.9467i	−0.457127	+	0.457127i	0.440584	+	0.897711i	$0.354771\pi$
$684$	45.3603	−	9.04529i	1.73440	−	0.345855i
$685$	−1.98834	−	0.758890i	−0.0759706	−	0.0289957i
$686$	−21.2150	+	13.1839i	−0.809994	+	0.503362i
$687$	6.77407	−	34.1498i	0.258447	−	1.30289i
$688$	32.1153	−	13.2592i	1.22438	−	0.505501i
$689$	1.99331	−	3.45252i	0.0759392	−	0.131531i
$690$	26.9695	−	7.09965i	1.02671	−	0.270279i
$691$	−35.3893	+	20.4320i	−1.34627	+	0.777271i	−0.987719	−	0.156238i	$-0.950063\pi$
$691$	−35.3893	+	20.4320i	−1.34627	+	0.777271i	−0.358553	+	0.933509i	$0.616730\pi$
$692$	−21.5786	−	18.9460i	−0.820296	−	0.720219i
$693$	−19.6302	+	25.6386i	−0.745691	+	0.973931i
$694$	−51.1705	+	1.66036i	−1.94241	+	0.0630264i
$695$	−4.00582	+	5.53579i	−0.151949	+	0.209984i
$696$	13.6283	−	2.24530i	0.516578	−	0.0851079i
$697$	−14.1322	+	3.78670i	−0.535294	+	0.143432i
$698$	3.92990	+	12.9686i	0.148749	+	0.490869i
$699$	−4.20826	−	2.07252i	−0.159171	−	0.0783900i
$700$	22.0186	−	16.5538i	0.832223	−	0.625675i
$701$	−16.4468			−0.621186			−0.310593	−	0.950543i	$-0.600528\pi$
$701$	−16.4468			−0.621186			−0.310593	+	0.950543i	$0.600528\pi$
$702$	10.0887	−	16.2708i	0.380772	−	0.614102i
$703$	16.1010	−	16.1010i	0.607259	−	0.607259i
$704$	23.5371	−	20.5695i	0.887088	−	0.775241i
$705$	28.8136	+	1.06163i	1.08518	+	0.0399831i
$706$	4.02213	−	7.51965i	0.151375	−	0.283006i
$707$	−3.10474	+	0.831912i	−0.116766	+	0.0312873i
$708$	24.3652	+	18.6980i	0.915702	+	0.702715i
$709$	−5.01014	−	8.67782i	−0.188160	−	0.325902i	0.756477	−	0.654020i	$-0.226919\pi$
$709$	−5.01014	−	8.67782i	−0.188160	−	0.325902i	−0.944637	+	0.328118i	$0.893586\pi$
$710$	1.50068	−	4.35043i	0.0563195	−	0.163269i
$711$	2.62457	−	6.35524i	0.0984291	−	0.238340i
$712$	9.15475	+	7.52639i	0.343089	+	0.282063i
$713$	13.5821	−	50.6892i	0.508655	−	1.89833i
$714$	−20.3171	−	28.3382i	−0.760350	−	1.06053i
$715$	14.3586	+	17.6622i	0.536982	+	0.660528i
$716$	6.60174	−	13.3675i	0.246719	−	0.499568i
$717$	−2.01791	+	10.1728i	−0.0753601	+	0.379909i
$718$	−20.6836	−	4.82903i	−0.771905	−	0.180218i
$719$	−46.9710			−1.75172			−0.875862	−	0.482562i	$-0.839706\pi$
$719$	−46.9710			−1.75172			−0.875862	+	0.482562i	$0.839706\pi$
$720$	25.0680	+	9.57054i	0.934229	+	0.356673i
$721$	8.47739			0.315715
$722$	−55.6753	−	12.9986i	−2.07202	−	0.483758i
$723$	−19.1701	−	16.7938i	−0.712942	−	0.624568i
$724$	−13.2303	+	26.7894i	−0.491700	+	0.995619i
$725$	−13.3901	+	4.40744i	−0.497295	+	0.163688i
$726$	4.31149	−	9.52171i	0.160014	−	0.353384i
$727$	3.29057	−	12.2806i	0.122041	−	0.455462i	−0.877676	−	0.479254i	$-0.840907\pi$
$727$	3.29057	−	12.2806i	0.122041	−	0.455462i	0.999717	+	0.0237920i	$0.00757395\pi$
$728$	12.8911	−	15.6801i	0.477776	−	0.581145i
$729$	−10.4114	−	24.9119i	−0.385608	−	0.922663i
$730$	38.2408	−	18.6250i	1.41536	−	0.689341i
$731$	22.4432	+	38.8728i	0.830093	+	1.43776i
$732$	−17.3454	+	7.18371i	−0.641106	+	0.265518i
$733$	26.8882	−	7.20468i	0.993140	−	0.266111i	0.274571	−	0.961567i	$-0.411464\pi$
$733$	26.8882	−	7.20468i	0.993140	−	0.266111i	0.718569	+	0.695456i	$0.244798\pi$
$734$	−12.3676	+	23.1220i	−0.456495	+	0.853450i
$735$	−2.17818	−	0.670516i	−0.0803434	−	0.0247323i
$736$	18.2402	+	22.2913i	0.672343	+	0.821668i
$737$	0.0817551	−	0.0817551i	0.00301149	−	0.00301149i
$738$	−11.9551	−	1.16821i	−0.440072	−	0.0430025i
$739$	−11.0000			−0.404641			−0.202320	−	0.979319i	$-0.564848\pi$
$739$	−11.0000			−0.404641			−0.202320	+	0.979319i	$0.564848\pi$
$740$	12.8800	−	2.93254i	0.473477	−	0.107802i
$741$	−28.9133	+	19.3414i	−1.06216	+	0.710523i
$742$	−1.72884	−	5.70516i	−0.0634678	−	0.209443i
$743$	−7.71693	+	2.06774i	−0.283107	+	0.0758582i	−0.397578	−	0.917568i	$-0.630149\pi$
$743$	−7.71693	+	2.06774i	−0.283107	+	0.0758582i	0.114472	+	0.993427i	$0.463483\pi$
$744$	39.0411	−	32.0181i	1.43132	−	1.17384i
$745$	15.4945	+	11.2122i	0.567675	+	0.410782i
$746$	−19.9775	+	0.648223i	−0.731430	+	0.0237331i
$747$	16.6333	−	6.91031i	0.608580	−	0.252835i
$748$	30.3459	+	26.6437i	1.10956	+	0.974190i
$749$	−14.6444	+	8.45496i	−0.535096	+	0.308938i
$750$	−26.7845	−	5.70899i	−0.978030	−	0.208463i
$751$	2.15721	−	3.73639i	0.0787175	−	0.136343i	−0.823979	−	0.566620i	$-0.808251\pi$
$751$	2.15721	−	3.73639i	0.0787175	−	0.136343i	0.902697	+	0.430277i	$0.141584\pi$
$752$	11.3640	+	27.5251i	0.414404	+	1.00374i
$753$	−8.57886	+	2.91718i	−0.312631	+	0.106308i
$754$	−8.82281	+	5.48284i	−0.321308	+	0.199673i
$755$	−14.7666	−	32.9963i	−0.537412	−	1.20086i
$756$	−7.43725	−	27.6449i	−0.270490	−	1.00543i
$757$	0.466606	−	0.466606i	0.0169591	−	0.0169591i	−0.698576	−	0.715535i	$-0.746183\pi$
$757$	0.466606	−	0.466606i	0.0169591	−	0.0169591i	0.715535	+	0.698576i	$0.246183\pi$
$758$	−12.5532	−	2.93082i	−0.455953	−	0.106452i
$759$	30.9133	+	15.2245i	1.12208	+	0.552613i
$760$	−34.2852	−	34.6642i	−1.24366	−	1.25740i
$761$	38.5274	+	22.2438i	1.39662	+	0.806337i	0.994037	−	0.109047i	$-0.0347799\pi$
$761$	38.5274	+	22.2438i	1.39662	+	0.806337i	0.402581	+	0.915384i	$0.368113\pi$
$762$	23.5615	+	19.3270i	0.853543	+	0.700143i
$763$	−1.18114	+	4.40807i	−0.0427601	+	0.159583i
$764$	9.06449	−	0.588862i	0.327942	−	0.0213043i
$765$	−7.99227	+	33.7312i	−0.288961	+	1.21955i
$766$	8.89111	−	0.288495i	0.321249	−	0.0104237i
$767$	−22.3113	−	5.97831i	−0.805616	−	0.215864i
$768$	1.76323	+	27.6567i	0.0636249	+	0.997974i
$769$	2.43730	+	1.40718i	0.0878915	+	0.0507442i	0.543302	−	0.839538i	$-0.317174\pi$
$769$	2.43730	+	1.40718i	0.0878915	+	0.0507442i	−0.455410	+	0.890282i	$0.650507\pi$
$770$	33.9531	+	2.39321i	1.22358	+	0.0862455i
$771$	12.7386	+	19.0429i	0.458770	+	0.685814i
$772$	3.88011	−	19.4479i	0.139648	−	0.699946i
$773$	−3.88279	+	3.88279i	−0.139654	+	0.139654i	−0.773478	−	0.633824i	$-0.781485\pi$
$773$	−3.88279	+	3.88279i	−0.139654	+	0.139654i	0.633824	+	0.773478i	$0.281485\pi$
$774$	6.03097	+	36.3555i	0.216779	+	1.30677i
$775$	−34.3351	+	38.4278i	−1.23335	+	1.38037i
$776$	24.9626	−	17.8553i	0.896106	−	0.640967i
$777$	−10.6008	−	9.28673i	−0.380301	−	0.333160i
$778$	−41.1486	+	12.4693i	−1.47525	+	0.447046i
$779$	18.9017	+	10.9129i	0.677225	+	0.390996i
$780$	−20.1724	+	0.565871i	−0.722287	+	0.0202614i
$781$	4.92442	−	2.84311i	0.176209	−	0.101735i
$782$	−25.4445	+	27.1511i	−0.909893	+	0.970920i
$783$	−0.934993	+	14.6200i	−0.0334139	+	0.522475i
$784$	−0.304536	−	2.33401i	−0.0108763	−	0.0833574i
$785$	2.62575	+	16.3754i	0.0937171	+	0.584464i
$786$	−1.89331	+	4.18128i	−0.0675321	+	0.149141i
$787$	8.74531	+	32.6379i	0.311737	+	1.16342i	0.926990	+	0.375087i	$0.122387\pi$
$787$	8.74531	+	32.6379i	0.311737	+	1.16342i	−0.615253	+	0.788330i	$0.710946\pi$
$788$	−9.34062	−	27.5689i	−0.332746	−	0.982101i
$789$	−2.24424	−	33.9658i	−0.0798971	−	1.20921i
$790$	−7.11540	+	1.37899i	−0.253155	+	0.0490621i
$791$			2.98821i			0.106248i
$792$	15.6346	+	29.2369i	0.555550	+	1.03889i
$793$	9.98407	−	9.98407i	0.354545	−	0.354545i
$794$	−40.4018	+	25.1073i	−1.43380	+	0.891023i
$795$	−3.15022	+	5.01992i	−0.111727	+	0.178038i
$796$	6.14672	−	12.4462i	0.217865	−	0.441144i
$797$	−49.6781	+	13.3112i	−1.75969	+	0.471507i	−0.986651	−	0.162851i	$-0.947931\pi$
$797$	−49.6781	+	13.3112i	−1.75969	+	0.471507i	−0.773039	+	0.634358i	$0.781264\pi$
$798$	−8.46104	+	51.3242i	−0.299518	+	1.81686i
$799$	−33.3168	+	19.2354i	−1.17866	+	0.680501i
$800$	−6.12744	−	27.6126i	−0.216638	−	0.976252i
$801$	−9.96462	+	7.66285i	−0.352083	+	0.270753i
$802$	24.4117	+	22.8772i	0.862006	+	0.807824i
$803$	50.7659	+	13.6027i	1.79149	+	0.480028i
$804$	0.0133744	+	0.101628i	0.000471680	+	0.00358414i
$805$	−3.21866	+	31.1978i	−0.113443	+	1.09958i
$806$	−17.9101	+	33.4842i	−0.630857	+	1.17943i
$807$	−3.73646	−	10.9882i	−0.131530	−	0.386803i
$808$	−0.540420	+	3.25573i	−0.0190119	+	0.114536i
$809$	−40.9974			−1.44139			−0.720695	−	0.693252i	$-0.756177\pi$
$809$	−40.9974			−1.44139			−0.720695	+	0.693252i	$0.756177\pi$
$810$	−15.8782	+	23.6195i	−0.557903	+	0.829906i
$811$		−	29.1963i		−	1.02522i	−0.858622	−	0.512610i	$-0.828679\pi$
$811$		−	29.1963i		−	1.02522i	0.858622	−	0.512610i	$-0.171321\pi$
$812$	−3.03915	+	15.2328i	−0.106653	+	0.534568i
$813$	−42.7557	+	14.5388i	−1.49951	+	0.509898i
$814$	14.3923	+	7.69820i	0.504451	+	0.269822i
$815$	−17.1576	−	21.1051i	−0.601003	−	0.739279i
$816$	−35.1184	+	6.96260i	−1.22939	+	0.243740i
$817$	17.3308	−	64.6793i	0.606327	−	2.26284i
$818$	−3.98188	−	3.73160i	−0.139223	−	0.130472i
$819$	13.1248	+	17.0673i	0.458619	+	0.596379i
$820$	5.91047	+	11.1976i	0.206403	+	0.391037i
$821$	−27.8401	−	48.2204i	−0.971625	−	1.68290i	−0.690651	−	0.723188i	$-0.742676\pi$
$821$	−27.8401	−	48.2204i	−0.971625	−	1.68290i	−0.280973	−	0.959716i	$-0.590657\pi$
$822$	2.30032	+	0.379220i	0.0802330	+	0.0132268i
$823$	4.78267	+	17.8492i	0.166713	+	0.622183i	0.997815	+	0.0660629i	$0.0210438\pi$
$823$	4.78267	+	17.8492i	0.166713	+	0.622183i	−0.831102	+	0.556120i	$0.812290\pi$
$824$	3.59917	−	7.92526i	0.125383	−	0.276090i
$825$	−20.3643	−	27.0247i	−0.708992	−	0.940879i
$826$	−29.3366	+	18.2310i	−1.02075	+	0.634336i
$827$	39.7402	+	39.7402i	1.38190	+	1.38190i	0.841240	+	0.540661i	$0.181826\pi$
$827$	39.7402	+	39.7402i	1.38190	+	1.38190i	0.540661	+	0.841240i	$0.318174\pi$
$828$	−27.3931	+	13.5251i	−0.951976	+	0.470029i
$829$	−12.9685			−0.450414			−0.225207	−	0.974311i	$-0.572306\pi$
$829$	−12.9685			−0.450414			−0.225207	+	0.974311i	$0.572306\pi$
$830$	−15.7341	−	10.6255i	−0.546139	−	0.368818i
$831$	28.0849	−	1.85567i	0.974255	−	0.0643725i
$832$	−9.18584	−	18.7087i	−0.318462	−	0.648607i
$833$	2.93723	−	0.787028i	0.101769	−	0.0272689i
$834$	3.08761	−	6.81884i	0.106915	−	0.236117i
$835$	3.81186	+	23.7725i	0.131915	+	0.822683i
$836$	−3.90532	−	60.1156i	−0.135068	−	2.07914i
$837$	23.7624	+	47.9936i	0.821348	+	1.65890i
$838$	28.9597	+	27.1394i	1.00040	+	0.937516i
$839$	−22.1834	−	38.4228i	−0.765857	−	1.32650i	−0.939792	−	0.341747i	$-0.888981\pi$
$839$	−22.1834	−	38.4228i	−0.765857	−	1.32650i	0.173935	−	0.984757i	$-0.444352\pi$
$840$	−20.0092	+	22.5887i	−0.690382	+	0.779382i
$841$	−10.5256	+	18.2309i	−0.362952	+	0.628651i
$842$	16.5286	−	5.00868i	0.569612	−	0.172610i
$843$	6.77774	−	7.73677i	0.233438	−	0.266468i
$844$	−16.7267	−	25.0646i	−0.575757	−	0.862759i
$845$	−12.6799	+	5.67457i	−0.436203	+	0.195211i
$846$	−31.1593	+	5.16897i	−1.07128	+	0.177713i
$847$	8.31190	+	8.31190i	0.285600	+	0.285600i
$848$	−6.06758	−	0.805942i	−0.208362	−	0.0276762i
$849$	−22.8452	+	15.2821i	−0.784044	+	0.524480i
$850$	34.3196	−	12.5441i	1.17715	−	0.430259i
$851$	−7.51979	+	13.0247i	−0.257775	+	0.446479i
$852$	−0.658259	+	4.99806i	−0.0225516	+	0.171231i
$853$	−11.1786	+	41.7190i	−0.382747	+	1.42843i	0.458941	+	0.888467i	$0.348229\pi$
$853$	−11.1786	+	41.7190i	−0.382747	+	1.42843i	−0.841688	+	0.539964i	$0.818438\pi$
$854$	−0.684724	−	21.1025i	−0.0234308	−	0.722112i
$855$	44.0120	−	27.1507i	1.50518	−	0.928535i
$856$	1.68685	+	17.2803i	0.0576553	+	0.590628i
$857$	24.5021	+	6.56531i	0.836975	+	0.224267i	0.651754	−	0.758430i	$-0.274033\pi$
$857$	24.5021	+	6.56531i	0.836975	+	0.224267i	0.185221	+	0.982697i	$0.440700\pi$
$858$	−19.2787	−	15.8139i	−0.658164	−	0.539878i
$859$	22.0153	−	38.1315i	0.751151	−	1.30103i	−0.196114	−	0.980581i	$-0.562832\pi$
$859$	22.0153	−	38.1315i	0.751151	−	1.30103i	0.947265	−	0.320450i	$-0.103834\pi$
$860$	28.4901	−	26.4067i	0.971504	−	0.900460i
$861$	5.96838	−	12.1188i	0.203402	−	0.413008i
$862$	−2.21950	+	9.50650i	−0.0755965	+	0.323793i
$863$	6.98679	+	6.98679i	0.237833	+	0.237833i	0.815952	−	0.578119i	$-0.196213\pi$
$863$	6.98679	+	6.98679i	0.237833	+	0.237833i	−0.578119	+	0.815952i	$0.696213\pi$
$864$	−29.0019	−	4.78407i	−0.986666	−	0.162757i
$865$	−29.9946	−	11.4480i	−1.01985	−	0.389245i
$866$	21.1227	−	13.1265i	0.717779	−	0.446056i
$867$	−5.41096	−	15.9126i	−0.183766	−	0.540419i
$868$	18.2212	+	53.7799i	0.618467	+	1.82541i
$869$	−7.75561	−	4.47770i	−0.263091	−	0.151896i
$870$	13.4072	−	7.66233i	0.454546	−	0.259777i
$871$	−0.0385454	−	0.0667627i	−0.00130606	−	0.00226217i
$872$	3.61950	+	2.97570i	0.122572	+	0.100770i
$873$	12.4892	+	30.0617i	0.422694	+	1.01744i
$874$	55.4805	−	1.80021i	1.87666	−	0.0608929i
$875$	16.6255	−	25.9258i	0.562046	−	0.876452i
$876$	−36.9678	+	28.3634i	−1.24902	+	0.958312i
$877$	−8.61580	−	32.1546i	−0.290935	−	1.08578i	−0.944392	−	0.328821i	$-0.893349\pi$
$877$	−8.61580	−	32.1546i	−0.290935	−	1.08578i	0.653457	−	0.756963i	$-0.273318\pi$
$878$	7.15720	−	2.16886i	0.241544	−	0.0731953i
$879$	26.5325	+	39.6633i	0.894918	+	1.33781i
$880$	16.6525	−	30.7257i	0.561355	−	1.03576i
$881$			55.7712i			1.87898i	0.342578	+	0.939489i	$0.388700\pi$
$881$			55.7712i			1.87898i	−0.342578	+	0.939489i	$0.611300\pi$
$882$	2.48474	+	0.242801i	0.0836655	+	0.00817554i
$883$	−21.2141	−	21.2141i	−0.713911	−	0.713911i	0.253440	−	0.967351i	$-0.418438\pi$
$883$	−21.2141	−	21.2141i	−0.713911	−	0.713911i	−0.967351	+	0.253440i	$0.918438\pi$
$884$	22.3966	−	14.9462i	0.753279	−	0.502696i
$885$	32.8183	+	10.1025i	1.10317	+	0.339593i
$886$	−12.8765	−	6.88739i	−0.432593	−	0.231387i
$887$	9.27458	+	34.6132i	0.311410	+	1.16220i	0.927286	+	0.374355i	$0.122136\pi$
$887$	9.27458	+	34.6132i	0.311410	+	1.16220i	−0.615876	+	0.787843i	$0.711198\pi$
$888$	−13.1826	+	5.96757i	−0.442378	+	0.200258i
$889$	−29.6800	+	17.1358i	−0.995435	+	0.574715i
$890$	12.5260	+	4.32084i	0.419872	+	0.144835i
$891$	−33.9484	+	9.17330i	−1.13731	+	0.307317i
$892$	−7.69068	−	6.75241i	−0.257503	−	0.226087i
$893$	55.4348	+	14.8537i	1.85505	+	0.497060i
$894$	−19.0857	−	8.64212i	−0.638322	−	0.289036i
$895$	1.71061	−	16.5806i	0.0571794	−	0.554229i
$896$	−29.8057	−	9.10728i	−0.995738	−	0.304253i
$897$	15.1400	−	17.2823i	0.505510	−	0.577038i
$898$	3.53925	+	0.826316i	0.118106	+	0.0275745i
$899$		−	29.0577i		−	0.969128i
$900$	29.9988	+	0.263503i	0.999961	+	0.00878344i
$901$		−	7.90751i		−	0.263437i
$902$	−3.55699	+	15.2352i	−0.118435	+	0.507276i
$903$	−40.6524	−	8.06395i	−1.35283	−	0.268352i
$904$	2.79359	+	1.26868i	0.0929133	+	0.0421955i
$905$	−3.42817	+	33.2285i	−0.113956	+	1.10455i
$906$	23.0739	+	32.1833i	0.766578	+	1.06922i
$907$	−43.7575	−	11.7248i	−1.45294	−	0.389315i	−0.555897	−	0.831251i	$-0.687625\pi$
$907$	−43.7575	−	11.7248i	−1.45294	−	0.389315i	−0.897047	+	0.441936i	$0.854292\pi$
$908$	−18.1189	+	20.6366i	−0.601296	+	0.684849i
$909$	−3.23542	−	1.33616i	−0.107312	−	0.0443175i
$910$	7.40068	−	21.4544i	0.245330	−	0.711205i
$911$	9.73449	−	5.62021i	0.322518	−	0.186206i	−0.329996	−	0.943982i	$-0.607047\pi$
$911$	9.73449	−	5.62021i	0.322518	−	0.186206i	0.652514	+	0.757776i	$0.273714\pi$
$912$	44.3892	+	29.7002i	1.46987	+	0.983472i
$913$	−6.07165	−	22.6597i	−0.200942	−	0.749927i
$914$	8.73867	−	16.3376i	0.289050	−	0.540398i
$915$	−15.3787	+	14.2857i	−0.508405	+	0.472272i
$916$	33.4389	−	22.3152i	1.10485	−	0.737315i
$917$	−3.65002	−	3.65002i	−0.120534	−	0.120534i
$918$	1.19332	−	37.9549i	0.0393854	−	1.25270i
$919$		−	23.9767i		−	0.790919i	−0.918483	−	0.395460i	$-0.870585\pi$
$919$		−	23.9767i		−	0.790919i	0.918483	−	0.395460i	$-0.129415\pi$
$920$	27.7994	+	16.2544i	0.916518	+	0.535891i
$921$	−22.2106	+	45.0986i	−0.731863	+	1.48605i
$922$	12.7242	+	41.9896i	0.419048	+	1.38285i
$923$	−0.981281	−	3.66219i	−0.0322993	−	0.120542i
$924$	−36.9673	+	4.86497i	−1.21613	+	0.160046i
$925$	12.3552	−	8.09100i	0.406238	−	0.266030i
$926$	0.249465	+	7.68825i	0.00819793	+	0.252652i
$927$	7.33036	+	5.61250i	0.240761	+	0.184339i
$928$	12.9504	+	9.30847i	0.425119	+	0.305566i
$929$	27.0754	+	46.8959i	0.888315	+	1.53861i	0.841867	+	0.539685i	$0.181457\pi$
$929$	27.0754	+	46.8959i	0.888315	+	1.53861i	0.0464479	+	0.998921i	$0.485210\pi$
$930$	28.4399	−	48.7635i	0.932581	−	1.59902i
$931$	−3.92854	−	2.26814i	−0.128753	−	0.0743354i
$932$	−1.73815	−	5.13016i	−0.0569350	−	0.168044i
$933$	−31.1060	−	6.17030i	−1.01836	−	0.202006i
$934$	11.8956	+	19.1420i	0.389236	+	0.626346i
$935$	42.1813	+	16.0993i	1.37948	+	0.526504i
$936$	21.5280	−	5.02392i	0.703664	−	0.164212i
$937$	−13.0767	−	13.0767i	−0.427198	−	0.427198i	0.460475	−	0.887673i	$-0.347679\pi$
$937$	−13.0767	−	13.0767i	−0.427198	−	0.427198i	−0.887673	+	0.460475i	$0.847679\pi$
$938$	−0.112258	−	0.0262091i	−0.00366535	−	0.000855756i
$939$	31.3026	−	2.06827i	1.02152	−	0.0674956i
$940$	22.6324	+	24.4180i	0.738187	+	0.796428i
$941$	16.5852	−	28.7264i	0.540661	−	0.936453i	−0.458205	−	0.888847i	$-0.651507\pi$
$941$	16.5852	−	28.7264i	0.540661	−	0.936453i	0.998866	−	0.0476061i	$-0.0151592\pi$
$942$	−6.40358	−	17.0016i	−0.208640	−	0.553941i
$943$	−13.9246	−	3.73110i	−0.453449	−	0.121501i
$944$	4.58839	+	35.1661i	0.149339	+	1.14456i
$945$	−18.5639	−	26.0734i	−0.603885	−	0.848167i
$946$	47.9728	−	1.55660i	1.55973	−	0.0506094i
$947$	−0.422317	+	1.57611i	−0.0137235	+	0.0512167i	−0.972448	−	0.233120i	$-0.925107\pi$
$947$	−0.422317	+	1.57611i	−0.0137235	+	0.0512167i	0.958725	+	0.284336i	$0.0917733\pi$
$948$	7.33535	−	3.03798i	0.238241	−	0.0986689i
$949$	17.5215	−	30.3481i	0.568772	−	0.985142i
$950$	−49.4342	−	22.9699i	−1.60386	−	0.745242i
$951$	−2.04734	−	30.9858i	−0.0663896	−	1.00478i
$952$	6.59309	−	39.7197i	0.213683	−	1.28732i
$953$	13.4150	+	13.4150i	0.434556	+	0.434556i	0.890175	−	0.455619i	$-0.150582\pi$
$953$	13.4150	+	13.4150i	0.434556	+	0.434556i	−0.455619	+	0.890175i	$0.650582\pi$
$954$	2.28220	−	6.07781i	0.0738891	−	0.196776i
$955$	9.26984	−	4.14848i	0.299965	−	0.134242i
$956$	−9.96100	+	6.64741i	−0.322162	+	0.214993i
$957$	18.7159	+	3.71255i	0.604998	+	0.120010i
$958$	−11.6216	−	38.3511i	−0.375476	−	1.23907i
$959$	−1.31094	+	2.27061i	−0.0423324	+	0.0733219i
$960$	12.6224	+	28.2962i	0.407385	+	0.913257i
$961$	−37.6118	−	65.1455i	−1.21328	−	2.10147i
$962$	7.44170	−	7.94083i	0.239930	−	0.256023i
$963$	−18.2606	−	2.38444i	−0.588440	−	0.0768377i
$964$	−1.90775	−	29.3665i	−0.0614445	−	0.945831i
$965$	−3.51037	−	21.8923i	−0.113003	−	0.704738i
$966$	−3.37574	−	34.1906i	−0.108613	−	1.10007i
$967$	−28.3470	+	7.59555i	−0.911577	+	0.244256i	−0.683982	−	0.729499i	$-0.739753\pi$
$967$	−28.3470	+	7.59555i	−0.911577	+	0.244256i	−0.227596	+	0.973756i	$0.573086\pi$
$968$	11.2995	−	4.24164i	0.363178	−	0.136332i
$969$	−30.4845	+	61.8989i	−0.979305	+	1.98848i
$970$	19.2038	−	28.4367i	0.616597	−	0.913046i
$971$	−33.4937			−1.07486			−0.537432	−	0.843307i	$-0.680605\pi$
$971$	−33.4937			−1.07486			−0.537432	+	0.843307i	$0.680605\pi$
$972$	11.8715	−	28.8283i	0.380778	−	0.924667i
$973$	5.95245	+	5.95245i	0.190827	+	0.190827i
$974$	−27.0563	−	43.5380i	−0.866939	−	1.39505i
$975$	−20.9194	+	8.45182i	−0.669958	+	0.270675i
$976$	−20.0188	−	8.31915i	−0.640786	−	0.266290i
$977$	−5.87562	−	21.9281i	−0.187978	−	0.701542i	−0.993973	−	0.109621i	$-0.965036\pi$
$977$	−5.87562	−	21.9281i	−0.187978	−	0.701542i	0.805996	−	0.591921i	$-0.201630\pi$
$978$	23.0367	+	18.8965i	0.736633	+	0.604244i
$979$	8.18605	+	14.1786i	0.261627	+	0.453152i
$980$	−1.22843	−	2.32731i	−0.0392408	−	0.0743432i
$981$	−3.93970	+	3.02965i	−0.125785	+	0.0967294i
$982$	−33.1102	+	35.3310i	−1.05659	+	1.12746i
$983$	11.8849	−	44.3551i	0.379070	−	1.41471i	−0.468237	−	0.883603i	$-0.655111\pi$
$983$	11.8849	−	44.3551i	0.379070	−	1.41471i	0.847307	−	0.531104i	$-0.178223\pi$
$984$	−8.79557	−	10.7248i	−0.280393	−	0.341895i
$985$	−20.5290	−	25.2522i	−0.654108	−	0.804602i
$986$	−9.71791	+	18.1683i	−0.309481	+	0.578597i
$987$	6.91138	−	34.8420i	0.219992	−	1.10903i
$988$	−39.3911	−	7.85903i	−1.25320	−	0.250029i
$989$			44.2273i			1.40635i
$990$	27.7746	+	24.5482i	0.882736	+	0.780193i
$991$	30.2428			0.960693			0.480346	−	0.877079i	$-0.340511\pi$
$991$	30.2428			0.960693			0.480346	+	0.877079i	$0.340511\pi$
$992$	58.0132	+	5.79838i	1.84192	+	0.184099i
$993$	−2.81071	+	3.20841i	−0.0891951	+	0.101816i
$994$	−4.99919	−	2.67398i	−0.158565	−	0.0848134i
$995$	1.59271	−	15.4378i	0.0504923	−	0.489411i
$996$	19.2145	+	7.96001i	0.608834	+	0.252223i
$997$	27.2563	+	7.30331i	0.863216	+	0.231298i	0.663152	−	0.748485i	$-0.269218\pi$
$997$	27.2563	+	7.30331i	0.863216	+	0.231298i	0.200064	+	0.979783i	$0.435885\pi$
$998$	−5.82088	+	6.21130i	−0.184257	+	0.196615i
$999$	−3.01811	−	15.0485i	−0.0954888	−	0.476113i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.br.e.77.6	✓	256
5.3	odd	4	inner	360.2.br.e.293.28	yes	256
8.5	even	2	inner	360.2.br.e.77.7	yes	256
9.2	odd	6	inner	360.2.br.e.317.27	yes	256
40.13	odd	4	inner	360.2.br.e.293.27	yes	256
45.38	even	12	inner	360.2.br.e.173.7	yes	256
72.29	odd	6	inner	360.2.br.e.317.28	yes	256
360.173	even	12	inner	360.2.br.e.173.6	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.br.e.77.6	✓	256	1.1	even	1	trivial
360.2.br.e.77.7	yes	256	8.5	even	2	inner
360.2.br.e.173.6	yes	256	360.173	even	12	inner
360.2.br.e.173.7	yes	256	45.38	even	12	inner
360.2.br.e.293.27	yes	256	40.13	odd	4	inner
360.2.br.e.293.28	yes	256	5.3	odd	4	inner
360.2.br.e.317.27	yes	256	9.2	odd	6	inner
360.2.br.e.317.28	yes	256	72.29	odd	6	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:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.37718 - 0.321532i) q^{2} +(1.63984 - 0.557615i) q^{3} +(1.79323 + 0.885613i) q^{4} +(2.22426 + 0.229476i) q^{5} +(-2.43764 + 0.240675i) q^{6} +(0.712972 - 2.66085i) q^{7} +(-2.18485 - 1.79623i) q^{8} +(2.37813 - 1.82880i) q^{9} +O(q^{10})\)	\(q+(-1.37718 - 0.321532i) q^{2} +(1.63984 - 0.557615i) q^{3} +(1.79323 + 0.885613i) q^{4} +(2.22426 + 0.229476i) q^{5} +(-2.43764 + 0.240675i) q^{6} +(0.712972 - 2.66085i) q^{7} +(-2.18485 - 1.79623i) q^{8} +(2.37813 - 1.82880i) q^{9} +(-2.98942 - 1.03120i) q^{10} +(-1.95366 - 3.38384i) q^{11} +(3.43444 + 0.452326i) q^{12} +(-2.51649 + 0.674293i) q^{13} +(-1.83744 + 3.43522i) q^{14} +(3.77539 - 0.863979i) q^{15} +(2.43138 + 3.17622i) q^{16} +(-3.65402 + 3.65402i) q^{17} +(-3.86312 + 1.75393i) q^{18} +7.70890 q^{19} +(3.78540 + 2.38134i) q^{20} +(-0.314571 - 4.76092i) q^{21} +(1.60252 + 5.28831i) q^{22} +(-4.91819 + 1.31782i) q^{23} +(-4.58440 - 1.72722i) q^{24} +(4.89468 + 1.02083i) q^{25} +(3.68246 - 0.119487i) q^{26} +(2.87998 - 4.32501i) q^{27} +(3.63501 - 4.14011i) q^{28} +(-2.44164 + 1.40968i) q^{29} +(-5.47717 - 0.0240547i) q^{30} +(-5.15324 + 8.92568i) q^{31} +(-2.32718 - 5.15599i) q^{32} +(-5.09057 - 4.45955i) q^{33} +(6.20712 - 3.85735i) q^{34} +(2.19644 - 5.75482i) q^{35} +(5.88415 - 1.17336i) q^{36} +(2.08862 - 2.08862i) q^{37} +(-10.6165 - 2.47866i) q^{38} +(-3.75064 + 2.50897i) q^{39} +(-4.44748 - 4.49665i) q^{40} +(2.45194 + 1.41563i) q^{41} +(-1.09757 + 6.65778i) q^{42} +(2.24815 - 8.39021i) q^{43} +(-0.506599 - 7.79820i) q^{44} +(5.70925 - 3.52200i) q^{45} +(7.19694 - 0.233523i) q^{46} +(7.19101 + 1.92683i) q^{47} +(5.75818 + 3.85271i) q^{48} +(-0.509611 - 0.294224i) q^{49} +(-6.41262 - 2.97966i) q^{50} +(-3.95446 + 8.02954i) q^{51} +(-5.10983 - 1.01948i) q^{52} +(-1.08203 + 1.08203i) q^{53} +(-5.35687 + 5.03030i) q^{54} +(-3.56894 - 7.97486i) q^{55} +(-6.33723 + 4.53289i) q^{56} +(12.6413 - 4.29860i) q^{57} +(3.81582 - 1.15631i) q^{58} +(7.67822 + 4.43302i) q^{59} +(7.53530 + 1.79421i) q^{60} +(-4.69355 + 2.70982i) q^{61} +(9.96682 - 10.6353i) q^{62} +(-3.17061 - 7.63173i) q^{63} +(1.54713 + 7.84897i) q^{64} +(-5.75208 + 0.922329i) q^{65} +(5.57672 + 7.77838i) q^{66} +(0.00765856 + 0.0285821i) q^{67} +(-9.78857 + 3.31647i) q^{68} +(-7.33019 + 4.90347i) q^{69} +(-4.87524 + 7.21918i) q^{70} +1.45527i q^{71} +(-8.48079 - 0.276023i) q^{72} +(-9.51118 + 9.51118i) q^{73} +(-3.54796 + 2.20484i) q^{74} +(8.59571 - 1.05536i) q^{75} +(13.8239 + 6.82710i) q^{76} +(-10.3968 + 2.78581i) q^{77} +(5.97201 - 2.24934i) q^{78} +(1.98489 - 1.14598i) q^{79} +(4.67916 + 7.62270i) q^{80} +(2.31101 - 8.69823i) q^{81} +(-2.92158 - 2.73795i) q^{82} +(5.79930 + 1.55392i) q^{83} +(3.65224 - 8.81604i) q^{84} +(-8.96601 + 7.28899i) q^{85} +(-5.79382 + 10.8320i) q^{86} +(-3.21783 + 3.67314i) q^{87} +(-1.80970 + 10.9024i) q^{88} -4.19011 q^{89} +(-8.99508 + 3.01471i) q^{90} +7.17676i q^{91} +(-9.98655 - 1.99244i) q^{92} +(-3.47338 + 17.5102i) q^{93} +(-9.28376 - 4.96572i) q^{94} +(17.1466 + 1.76901i) q^{95} +(-6.69126 - 7.15731i) q^{96} +(-2.80843 + 10.4812i) q^{97} +(0.607222 + 0.569054i) q^{98} +(-10.8344 - 4.47437i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 6 q^{2} - 8 q^{6}+O(q^{10}) \) 256 * q + 6 * q^2 - 8 * q^6	\( 256 q + 6 q^{2} - 8 q^{6} - 10 q^{12} + 28 q^{15} + 12 q^{16} - 28 q^{18} - 54 q^{20} + 14 q^{22} - 28 q^{25} - 32 q^{28} + 14 q^{30} - 32 q^{31} - 114 q^{32} + 4 q^{33} - 40 q^{36} - 30 q^{38} + 46 q^{40} + 24 q^{41} - 10 q^{42} - 16 q^{46} + 24 q^{47} - 2 q^{48} + 78 q^{50} + 38 q^{52} - 8 q^{55} - 96 q^{56} - 80 q^{57} - 18 q^{58} - 2 q^{60} - 144 q^{63} - 84 q^{65} - 4 q^{66} - 30 q^{68} - 30 q^{70} - 86 q^{72} + 64 q^{73} + 16 q^{76} - 82 q^{78} + 72 q^{81} - 64 q^{82} + 48 q^{86} - 4 q^{87} + 38 q^{88} + 78 q^{90} - 108 q^{92} - 24 q^{95} - 116 q^{96} + 36 q^{97}+O(q^{100}) \) 256 * q + 6 * q^2 - 8 * q^6 - 10 * q^12 + 28 * q^15 + 12 * q^16 - 28 * q^18 - 54 * q^20 + 14 * q^22 - 28 * q^25 - 32 * q^28 + 14 * q^30 - 32 * q^31 - 114 * q^32 + 4 * q^33 - 40 * q^36 - 30 * q^38 + 46 * q^40 + 24 * q^41 - 10 * q^42 - 16 * q^46 + 24 * q^47 - 2 * q^48 + 78 * q^50 + 38 * q^52 - 8 * q^55 - 96 * q^56 - 80 * q^57 - 18 * q^58 - 2 * q^60 - 144 * q^63 - 84 * q^65 - 4 * q^66 - 30 * q^68 - 30 * q^70 - 86 * q^72 + 64 * q^73 + 16 * q^76 - 82 * q^78 + 72 * q^81 - 64 * q^82 + 48 * q^86 - 4 * q^87 + 38 * q^88 + 78 * q^90 - 108 * q^92 - 24 * q^95 - 116 * q^96 + 36 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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