LMFDB - Embedded newform 552.2.bf.a.5.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [552,2,Mod(5,552)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(552, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 11, 1]))

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

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

chi := DirichletCharacter("552.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 552 = 2^{3} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	552.bf (of order $22$, degree $10$, 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:	$4.40774219157$
Analytic rank:	$0$
Dimension:	$920$
Relative dimension:	$92$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			5.11
Character	$\chi$	$=$	552.5
Dual form			552.2.bf.a.221.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.28981 - 0.579981i) q^{2} +(-1.33333 - 1.10555i) q^{3} +(1.32724 + 1.49614i) q^{4} +(1.33695 + 0.192224i) q^{5} +(1.07855 + 2.19926i) q^{6} +(3.52408 - 1.60939i) q^{7} +(-0.844167 - 2.69952i) q^{8} +(0.555524 + 2.94812i) q^{9} +O(q^{10})$	\(q+(-1.28981 - 0.579981i) q^{2} +(-1.33333 - 1.10555i) q^{3} +(1.32724 + 1.49614i) q^{4} +(1.33695 + 0.192224i) q^{5} +(1.07855 + 2.19926i) q^{6} +(3.52408 - 1.60939i) q^{7} +(-0.844167 - 2.69952i) q^{8} +(0.555524 + 2.94812i) q^{9} +(-1.61293 - 1.02334i) q^{10} +(1.20569 + 4.10619i) q^{11} +(-0.115598 - 3.46217i) q^{12} +(0.0966927 + 0.0441581i) q^{13} +(-5.47883 + 0.0319186i) q^{14} +(-1.57007 - 1.73436i) q^{15} +(-0.476850 + 3.97148i) q^{16} +(-4.59195 + 2.95107i) q^{17} +(0.993330 - 4.12472i) q^{18} +(6.18573 + 3.97533i) q^{19} +(1.48686 + 2.25538i) q^{20} +(-6.47802 - 1.75019i) q^{21} +(0.826401 - 5.99549i) q^{22} +(0.114499 + 4.79446i) q^{23} +(-1.85890 + 4.53261i) q^{24} +(-3.04699 - 0.894677i) q^{25} +(-0.0991048 - 0.113036i) q^{26} +(2.51859 - 4.54496i) q^{27} +(7.08519 + 3.13645i) q^{28} +(-2.18782 + 1.40603i) q^{29} +(1.01921 + 3.14761i) q^{30} +(3.06302 + 3.53491i) q^{31} +(2.91843 - 4.84590i) q^{32} +(2.93202 - 6.80784i) q^{33} +(7.63433 - 1.14308i) q^{34} +(5.02087 - 1.47426i) q^{35} +(-3.67347 + 4.74401i) q^{36} +(-0.0427923 - 0.297627i) q^{37} +(-5.67283 - 8.71505i) q^{38} +(-0.0801041 - 0.165776i) q^{39} +(-0.609694 - 3.77138i) q^{40} +(4.00438 + 0.575743i) q^{41} +(7.34036 + 6.01455i) q^{42} +(1.90676 - 2.20052i) q^{43} +(-4.54318 + 7.25378i) q^{44} +(0.176007 + 4.04826i) q^{45} +(2.63302 - 6.25038i) q^{46} -5.79702i q^{47} +(5.02646 - 4.76810i) q^{48} +(5.24497 - 6.05302i) q^{49} +(3.41116 + 2.92116i) q^{50} +(9.38513 + 1.14189i) q^{51} +(0.0622682 + 0.203274i) q^{52} +(7.50219 - 3.42614i) q^{53} +(-5.88451 + 4.40142i) q^{54} +(0.822629 + 5.72151i) q^{55} +(-7.31949 - 8.15471i) q^{56} +(-3.85269 - 12.1390i) q^{57} +(3.63735 - 0.544619i) q^{58} +(0.506362 - 1.10878i) q^{59} +(0.510964 - 4.65096i) q^{60} +(3.57751 + 4.12867i) q^{61} +(-1.90054 - 6.33587i) q^{62} +(6.70239 + 9.49534i) q^{63} +(-6.57477 + 4.55768i) q^{64} +(0.120785 + 0.0776236i) q^{65} +(-7.73017 + 7.08033i) q^{66} +(-6.32796 - 1.85806i) q^{67} +(-10.5098 - 2.95340i) q^{68} +(5.14785 - 6.51917i) q^{69} +(-7.33104 - 1.01049i) q^{70} +(3.24608 - 11.0551i) q^{71} +(7.48953 - 3.98835i) q^{72} +(-12.4709 - 8.01454i) q^{73} +(-0.117424 + 0.408703i) q^{74} +(3.07353 + 4.56149i) q^{75} +(2.26234 + 14.5309i) q^{76} +(10.8574 + 12.5301i) q^{77} +(0.00717267 + 0.260279i) q^{78} +(3.58603 + 1.63768i) q^{79} +(-1.40094 + 5.21799i) q^{80} +(-8.38279 + 3.27550i) q^{81} +(-4.83099 - 3.06507i) q^{82} +(7.63670 - 1.09799i) q^{83} +(-5.97937 - 12.0149i) q^{84} +(-6.70646 + 3.06274i) q^{85} +(-3.73563 + 1.73238i) q^{86} +(4.47151 + 0.544048i) q^{87} +(10.0669 - 6.72107i) q^{88} +(3.84610 - 4.43864i) q^{89} +(2.12090 - 5.32359i) q^{90} +0.411820 q^{91} +(-7.02121 + 6.53473i) q^{92} +(-0.175989 - 8.09951i) q^{93} +(-3.36217 + 7.47709i) q^{94} +(7.50584 + 6.50385i) q^{95} +(-9.24860 + 3.23471i) q^{96} +(-0.259312 - 0.0372835i) q^{97} +(-10.2757 + 4.76529i) q^{98} +(-11.4357 + 5.83559i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 920 q - 22 q^{4} - 2 q^{6} - 44 q^{7} - 18 q^{9}+O(q^{10}) $ 920 * q - 22 * q^4 - 2 * q^6 - 44 * q^7 - 18 * q^9	$ 920 q - 22 q^{4} - 2 q^{6} - 44 q^{7} - 18 q^{9} - 22 q^{10} - 12 q^{12} - 22 q^{15} - 30 q^{16} - 10 q^{18} - 14 q^{24} + 40 q^{25} - 22 q^{28} - 11 q^{30} - 20 q^{31} - 22 q^{33} - 18 q^{36} - 42 q^{39} - 176 q^{40} - 11 q^{42} + 90 q^{46} - 64 q^{48} + 32 q^{49} - 90 q^{52} + 21 q^{54} - 76 q^{55} - 22 q^{57} + 76 q^{58} - 11 q^{60} - 22 q^{63} - 28 q^{64} - 44 q^{66} - 116 q^{70} - 79 q^{72} - 36 q^{73} - 22 q^{76} - 134 q^{78} - 44 q^{79} - 34 q^{81} - 40 q^{82} - 165 q^{84} - 18 q^{87} - 22 q^{88} - 198 q^{90} + 88 q^{94} - 231 q^{96} - 44 q^{97}+O(q^{100}) $ 920 * q - 22 * q^4 - 2 * q^6 - 44 * q^7 - 18 * q^9 - 22 * q^10 - 12 * q^12 - 22 * q^15 - 30 * q^16 - 10 * q^18 - 14 * q^24 + 40 * q^25 - 22 * q^28 - 11 * q^30 - 20 * q^31 - 22 * q^33 - 18 * q^36 - 42 * q^39 - 176 * q^40 - 11 * q^42 + 90 * q^46 - 64 * q^48 + 32 * q^49 - 90 * q^52 + 21 * q^54 - 76 * q^55 - 22 * q^57 + 76 * q^58 - 11 * q^60 - 22 * q^63 - 28 * q^64 - 44 * q^66 - 116 * q^70 - 79 * q^72 - 36 * q^73 - 22 * q^76 - 134 * q^78 - 44 * q^79 - 34 * q^81 - 40 * q^82 - 165 * q^84 - 18 * q^87 - 22 * q^88 - 198 * q^90 + 88 * q^94 - 231 * q^96 - 44 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/552\mathbb{Z}\right)^\times$.

$n$	$97$	$185$	$277$	$415$
$\chi(n)$	$e\left(\frac{1}{22}\right)$	$-1$	$-1$	$1$

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 $

$2$	−1.28981	−	0.579981i	−0.912037	−	0.410109i
$2$	−1.28981	−	0.579981i	−0.912037	−	0.410109i
$3$	−1.33333	−	1.10555i	−0.769797	−	0.638289i
$3$	−1.33333	−	1.10555i	−0.769797	−	0.638289i
$4$	1.32724	+	1.49614i	0.663622	+	0.748068i
$5$	1.33695	+	0.192224i	0.597901	+	0.0859651i	0.434619	−	0.900614i	$-0.356883\pi$
$5$	1.33695	+	0.192224i	0.597901	+	0.0859651i	0.163282	+	0.986580i	$0.447792\pi$
$6$	1.07855	+	2.19926i	0.440315	+	0.897843i
$7$	3.52408	−	1.60939i	1.33198	−	0.608294i	0.383032	−	0.923735i	$-0.374880\pi$
$7$	3.52408	−	1.60939i	1.33198	−	0.608294i	0.948945	+	0.315441i	$0.102153\pi$
$8$	−0.844167	−	2.69952i	−0.298458	−	0.954423i
$9$	0.555524	+	2.94812i	0.185175	+	0.982706i
$10$	−1.61293	−	1.02334i	−0.510052	−	0.323608i
$11$	1.20569	+	4.10619i	0.363528	+	1.23806i	0.914858	+	0.403775i	$0.132302\pi$
$11$	1.20569	+	4.10619i	0.363528	+	1.23806i	−0.551331	+	0.834287i	$0.685880\pi$
$12$	−0.115598	−	3.46217i	−0.0333702	−	0.999443i
$13$	0.0966927	+	0.0441581i	0.0268177	+	0.0122472i	0.428779	−	0.903410i	$-0.358944\pi$
$13$	0.0966927	+	0.0441581i	0.0268177	+	0.0122472i	−0.401961	+	0.915657i	$0.631671\pi$
$14$	−5.47883	+	0.0319186i	−1.46428	+	0.00853062i
$15$	−1.57007	−	1.73436i	−0.405391	−	0.447809i
$16$	−0.476850	+	3.97148i	−0.119212	+	0.992869i
$17$	−4.59195	+	2.95107i	−1.11371	+	0.715739i	−0.962099	−	0.272701i	$-0.912083\pi$
$17$	−4.59195	+	2.95107i	−1.11371	+	0.715739i	−0.151613	+	0.988440i	$0.548447\pi$
$18$	0.993330	−	4.12472i	0.234130	−	0.972205i
$19$	6.18573	+	3.97533i	1.41910	+	0.912003i	0.999992	+	0.00406864i	$0.00129509\pi$
$19$	6.18573	+	3.97533i	1.41910	+	0.912003i	0.419113	+	0.907934i	$0.362341\pi$
$20$	1.48686	+	2.25538i	0.332472	+	0.504319i
$21$	−6.47802	−	1.75019i	−1.41362	−	0.381924i
$22$	0.826401	−	5.99549i	0.176189	−	1.27824i
$23$	0.114499	+	4.79446i	0.0238746	+	0.999715i
$23$	0.114499	+	4.79446i	0.0238746	+	0.999715i
$24$	−1.85890	+	4.53261i	−0.379445	+	0.925214i
$25$	−3.04699	−	0.894677i	−0.609398	−	0.178935i
$26$	−0.0991048	−	0.113036i	−0.0194360	−	0.0221681i
$27$	2.51859	−	4.54496i	0.484703	−	0.874679i
$28$	7.08519	+	3.13645i	1.33897	+	0.592733i
$29$	−2.18782	+	1.40603i	−0.406268	+	0.261093i	−0.727777	−	0.685814i	$-0.759446\pi$
$29$	−2.18782	+	1.40603i	−0.406268	+	0.261093i	0.321509	+	0.946907i	$0.395810\pi$
$30$	1.01921	+	3.14761i	0.186082	+	0.574673i
$31$	3.06302	+	3.53491i	0.550134	+	0.634889i	0.960914	−	0.276846i	$-0.0892891\pi$
$31$	3.06302	+	3.53491i	0.550134	+	0.634889i	−0.410780	+	0.911734i	$0.634744\pi$
$32$	2.91843	−	4.84590i	0.515910	−	0.856643i
$33$	2.93202	−	6.80784i	0.510399	−	1.18509i
$34$	7.63433	−	1.14308i	1.30928	−	0.196037i
$35$	5.02087	−	1.47426i	0.848682	−	0.249196i
$36$	−3.67347	+	4.74401i	−0.612245	+	0.790668i
$37$	−0.0427923	−	0.297627i	−0.00703502	−	0.0489296i	0.986002	−	0.166736i	$-0.0533228\pi$
$37$	−0.0427923	−	0.297627i	−0.00703502	−	0.0489296i	−0.993037	+	0.117807i	$0.962414\pi$
$38$	−5.67283	−	8.71505i	−0.920255	−	1.41377i
$39$	−0.0801041	−	0.165776i	−0.0128269	−	0.0265453i
$40$	−0.609694	−	3.77138i	−0.0964011	−	0.596307i
$41$	4.00438	+	0.575743i	0.625379	+	0.0899159i	0.447717	−	0.894176i	$-0.352237\pi$
$41$	4.00438	+	0.575743i	0.625379	+	0.0899159i	0.177663	+	0.984091i	$0.443146\pi$
$42$	7.34036	+	6.01455i	1.13264	+	0.928066i
$43$	1.90676	−	2.20052i	0.290779	−	0.335576i	−0.591499	−	0.806306i	$-0.701464\pi$
$43$	1.90676	−	2.20052i	0.290779	−	0.335576i	0.882278	+	0.470729i	$0.156009\pi$
$44$	−4.54318	+	7.25378i	−0.684910	+	1.09355i
$45$	0.176007	+	4.04826i	0.0262376	+	0.603479i
$46$	2.63302	−	6.25038i	0.388217	−	0.921568i
$47$		−	5.79702i		−	0.845583i	−0.906227	−	0.422791i	$-0.861050\pi$
$47$		−	5.79702i		−	0.845583i	0.906227	−	0.422791i	$-0.138950\pi$
$48$	5.02646	−	4.76810i	0.725506	−	0.688215i
$49$	5.24497	−	6.05302i	0.749281	−	0.864717i
$50$	3.41116	+	2.92116i	0.482410	+	0.413115i
$51$	9.38513	+	1.14189i	1.31418	+	0.159896i
$52$	0.0622682	+	0.203274i	0.00863505	+	0.0281890i
$53$	7.50219	−	3.42614i	1.03051	−	0.470616i	0.172908	−	0.984938i	$-0.444684\pi$
$53$	7.50219	−	3.42614i	1.03051	−	0.470616i	0.857597	+	0.514322i	$0.171956\pi$
$54$	−5.88451	+	4.40142i	−0.800780	+	0.598958i
$55$	0.822629	+	5.72151i	0.110923	+	0.771489i
$56$	−7.31949	−	8.15471i	−0.978108	−	1.08972i
$57$	−3.85269	−	12.1390i	−0.510301	−	1.60786i
$58$	3.63735	−	0.544619i	0.477608	−	0.0715120i
$59$	0.506362	−	1.10878i	0.0659227	−	0.144351i	−0.873803	−	0.486281i	$-0.838353\pi$
$59$	0.506362	−	1.10878i	0.0659227	−	0.144351i	0.939725	+	0.341930i	$0.111081\pi$
$60$	0.510964	−	4.65096i	0.0659652	−	0.600436i
$61$	3.57751	+	4.12867i	0.458053	+	0.528622i	0.937050	−	0.349195i	$-0.113545\pi$
$61$	3.57751	+	4.12867i	0.458053	+	0.528622i	−0.478997	+	0.877817i	$0.658999\pi$
$62$	−1.90054	−	6.33587i	−0.241369	−	0.804656i
$63$	6.70239	+	9.49534i	0.844422	+	1.19630i
$64$	−6.57477	+	4.55768i	−0.821846	+	0.569710i
$65$	0.120785	+	0.0776236i	0.0149815	+	0.00962802i
$66$	−7.73017	+	7.08033i	−0.951519	+	0.871528i
$67$	−6.32796	−	1.85806i	−0.773084	−	0.226998i	−0.128683	−	0.991686i	$-0.541075\pi$
$67$	−6.32796	−	1.85806i	−0.773084	−	0.226998i	−0.644401	+	0.764688i	$0.722893\pi$
$68$	−10.5098	−	2.95340i	−1.27451	−	0.358153i
$69$	5.14785	−	6.51917i	0.619728	−	0.784816i
$70$	−7.33104	−	1.01049i	−0.876226	−	0.120776i
$71$	3.24608	−	11.0551i	0.385239	−	1.31200i	−0.507586	−	0.861601i	$-0.669462\pi$
$71$	3.24608	−	11.0551i	0.385239	−	1.31200i	0.892825	−	0.450403i	$-0.148720\pi$
$72$	7.48953	−	3.98835i	0.882650	−	0.470031i
$73$	−12.4709	−	8.01454i	−1.45960	−	0.938031i	−0.998721	−	0.0505702i	$-0.983896\pi$
$73$	−12.4709	−	8.01454i	−1.45960	−	0.938031i	−0.460884	−	0.887460i	$-0.652468\pi$
$74$	−0.117424	+	0.408703i	−0.0136503	+	0.0475107i
$75$	3.07353	+	4.56149i	0.354900	+	0.526716i
$76$	2.26234	+	14.5309i	0.259508	+	1.66681i
$77$	10.8574	+	12.5301i	1.23732	+	1.42794i
$78$	0.00717267	+	0.260279i	0.000812145	+	0.0294708i
$79$	3.58603	+	1.63768i	0.403460	+	0.184254i	0.606801	−	0.794854i	$-0.292453\pi$
$79$	3.58603	+	1.63768i	0.403460	+	0.184254i	−0.203341	+	0.979108i	$0.565180\pi$
$80$	−1.40094	+	5.21799i	−0.156629	+	0.583389i
$81$	−8.38279	+	3.27550i	−0.931421	+	0.363944i
$82$	−4.83099	−	3.06507i	−0.533493	−	0.338480i
$83$	7.63670	−	1.09799i	0.838237	−	0.120520i	0.290191	−	0.956969i	$-0.406281\pi$
$83$	7.63670	−	1.09799i	0.838237	−	0.120520i	0.548046	+	0.836448i	$0.315372\pi$
$84$	−5.97937	−	12.0149i	−0.652403	−	1.31094i
$85$	−6.70646	+	3.06274i	−0.727418	+	0.332201i
$86$	−3.73563	+	1.73238i	−0.402823	+	0.186807i
$87$	4.47151	+	0.544048i	0.479396	+	0.0583281i
$88$	10.0669	−	6.72107i	1.07314	−	0.716469i
$89$	3.84610	−	4.43864i	0.407686	−	0.470495i	−0.514360	−	0.857574i	$-0.671971\pi$
$89$	3.84610	−	4.43864i	0.407686	−	0.470495i	0.922046	+	0.387079i	$0.126516\pi$
$90$	2.12090	−	5.32359i	0.223562	−	0.561155i
$91$	0.411820			0.0431705
$92$	−7.02121	+	6.53473i	−0.732011	+	0.681292i
$93$	−0.175989	−	8.09951i	−0.0182492	−	0.839880i
$94$	−3.36217	+	7.47709i	−0.346781	+	0.771203i
$95$	7.50584	+	6.50385i	0.770083	+	0.667281i
$96$	−9.24860	+	3.23471i	−0.943932	+	0.330141i
$97$	−0.259312	−	0.0372835i	−0.0263292	−	0.00378556i	0.129138	−	0.991627i	$-0.458779\pi$
$97$	−0.259312	−	0.0372835i	−0.0263292	−	0.00378556i	−0.155467	+	0.987841i	$0.549688\pi$
$98$	−10.2757	+	4.76529i	−1.03800	+	0.481367i
$99$	−11.4357	+	5.83559i	−1.14933	+	0.586498i
$100$	−2.70554	−	5.74617i	−0.270554	−	0.574617i
$101$	0.269741	+	1.87609i	0.0268403	+	0.186678i	0.998831	−	0.0483416i	$-0.0153936\pi$
$101$	0.269741	+	1.87609i	0.0268403	+	0.186678i	−0.971991	+	0.235020i	$0.924485\pi$
$102$	−11.4428	−	6.91602i	−1.13301	−	0.684788i
$103$	2.48511	+	8.46352i	0.244865	+	0.833935i	0.986588	+	0.163228i	$0.0521908\pi$
$103$	2.48511	+	8.46352i	0.244865	+	0.833935i	−0.741723	+	0.670706i	$0.765991\pi$
$104$	0.0375806	−	0.298300i	0.00368509	−	0.0292507i
$105$	−8.32433	−	3.58515i	−0.812372	−	0.349874i
$106$	−11.6635	+	0.0679496i	−1.13286	+	0.00659985i
$107$	−10.1670	+	8.80971i	−0.982876	+	0.851667i	−0.988940	−	0.148314i	$-0.952615\pi$
$107$	−10.1670	+	8.80971i	−0.982876	+	0.851667i	0.00606392	+	0.999982i	$0.498070\pi$
$108$	10.1427	−	2.26412i	0.975979	−	0.217865i
$109$	−14.9271	+	9.59307i	−1.42976	+	0.918850i	−0.429886	+	0.902883i	$0.641446\pi$
$109$	−14.9271	+	9.59307i	−1.42976	+	0.918850i	−0.999873	+	0.0159663i	$0.994918\pi$
$110$	2.25733	−	7.85680i	0.215228	−	0.749117i
$111$	−0.271985	+	0.444144i	−0.0258157	+	0.0421562i
$112$	4.71121	+	14.7632i	0.445167	+	1.39499i
$113$	17.9002	+	5.25597i	1.68391	+	0.494440i	0.977067	−	0.212932i	$-0.0683012\pi$
$113$	17.9002	+	5.25597i	1.68391	+	0.494440i	0.706842	+	0.707372i	$0.250119\pi$
$114$	−2.07117	+	17.8916i	−0.193983	+	1.67570i
$115$	−0.768532	+	6.43195i	−0.0716660	+	0.599783i
$116$	−5.00738	−	1.40714i	−0.464923	−	0.130650i
$117$	−0.0764681	+	0.309592i	−0.00706947	+	0.0286218i
$118$	−1.29618	+	1.13644i	−0.119323	+	0.104618i
$119$	−11.4330	+	17.7901i	−1.04806	+	1.63081i
$120$	−3.35652	+	5.70253i	−0.306407	+	0.520567i
$121$	−6.15330	+	3.95449i	−0.559391	+	0.359499i
$122$	−2.21977	−	7.40010i	−0.200969	−	0.669974i
$123$	−4.70264	−	5.19469i	−0.424023	−	0.468390i
$124$	−1.22334	+	9.27438i	−0.109859	+	0.832864i
$125$	−10.0449	−	4.58733i	−0.898439	−	0.410304i
$126$	−3.13772	−	16.1345i	−0.279530	−	1.43738i
$127$	−0.418764	+	0.122960i	−0.0371593	+	0.0109109i	−0.300259	−	0.953858i	$-0.597073\pi$
$127$	−0.418764	+	0.122960i	−0.0371593	+	0.0109109i	0.263100	+	0.964769i	$0.415255\pi$
$128$	11.1236	−	2.06532i	0.983196	−	0.182550i
$129$	−4.97512	+	0.825996i	−0.438035	+	0.0727249i
$130$	−0.110770	−	0.170173i	−0.00971514	−	0.0149252i
$131$	−5.99018	−	13.1167i	−0.523364	−	1.14601i	−0.968150	−	0.250371i	$-0.919448\pi$
$131$	−5.99018	−	13.1167i	−0.523364	−	1.14601i	0.444786	−	0.895637i	$-0.353280\pi$
$132$	14.0770	−	4.64896i	1.22524	−	0.404640i
$133$	28.1969	+	4.05410i	2.44498	+	0.351535i
$134$	7.08426	+	6.06665i	0.611987	+	0.524079i
$135$	4.24087	−	5.59224i	0.364996	−	0.481303i
$136$	11.8428	+	9.90485i	1.01551	+	0.849334i
$137$	−12.4158			−1.06075			−0.530377	−	0.847762i	$-0.677950\pi$
$137$	−12.4158			−1.06075			−0.530377	+	0.847762i	$0.677950\pi$
$138$	−10.4208	+	5.42287i	−0.887075	+	0.461625i
$139$		−	10.6402i		−	0.902494i	−0.892399	−	0.451247i	$-0.850979\pi$
$139$		−	10.6402i		−	0.902494i	0.892399	−	0.451247i	$-0.149021\pi$
$140$	8.86961	+	5.55521i	0.749619	+	0.469501i
$141$	−6.40889	+	7.72933i	−0.539726	+	0.650927i
$142$	−10.5986	+	12.3764i	−0.889416	+	1.03861i
$143$	−0.0647403	+	0.450279i	−0.00541386	+	0.0376542i
$144$	−11.9733	+	0.800440i	−0.997773	+	0.0667033i
$145$	−3.19527	+	1.45923i	−0.265353	+	0.121183i
$146$	11.4368	+	17.5701i	0.946518	+	1.45411i
$147$	−13.6852	+	2.27208i	−1.12873	+	0.187398i
$148$	0.388495	−	0.459047i	0.0319341	−	0.0377334i
$149$	−5.31084	−	18.0871i	−0.435081	−	1.48175i	−0.827238	−	0.561852i	$-0.810089\pi$
$149$	−5.31084	−	18.0871i	−0.435081	−	1.48175i	0.392157	−	0.919898i	$-0.371729\pi$
$150$	−1.31870	−	7.66607i	−0.107671	−	0.625932i
$151$	7.82876	−	17.1426i	0.637095	−	1.39504i	−0.265313	−	0.964162i	$-0.585475\pi$
$151$	7.82876	−	17.1426i	0.637095	−	1.39504i	0.902408	−	0.430882i	$-0.141797\pi$
$152$	5.50967	−	20.0543i	0.446893	−	1.62662i
$153$	−11.2510	−	11.8982i	−0.909592	−	0.961914i
$154$	−6.73681	−	22.4586i	−0.542867	−	1.80977i
$155$	3.41560	+	5.31477i	0.274347	+	0.426893i
$156$	0.141705	−	0.339871i	0.0113455	−	0.0272115i
$157$	15.3138	+	9.84155i	1.22217	+	0.785441i	0.982654	−	0.185451i	$-0.0593745\pi$
$157$	15.3138	+	9.84155i	1.22217	+	0.785441i	0.239517	+	0.970892i	$0.423011\pi$
$158$	−3.67549	−	4.19214i	−0.292406	−	0.333509i
$159$	−13.7906	−	3.72588i	−1.09367	−	0.295481i
$160$	4.83328	−	5.91772i	0.382104	−	0.467837i
$161$	8.11968	+	16.7118i	0.639921	+	1.31707i
$162$	12.7120	+	0.637074i	0.998747	+	0.0500532i
$163$	2.22484	−	7.57710i	0.174263	−	0.593484i	−0.825322	−	0.564663i	$-0.809006\pi$
$163$	2.22484	−	7.57710i	0.174263	−	0.593484i	0.999585	−	0.0288217i	$-0.00917551\pi$
$164$	4.45340	+	6.75525i	0.347752	+	0.527496i
$165$	5.22858	−	8.53811i	0.407044	−	0.664691i
$166$	−10.4867	−	3.01294i	−0.813929	−	0.233849i
$167$	−5.50106	−	8.55981i	−0.425685	−	0.662378i	0.560476	−	0.828171i	$-0.310618\pi$
$167$	−5.50106	−	8.55981i	−0.425685	−	0.662378i	−0.986161	+	0.165792i	$0.946982\pi$
$168$	0.743849	+	18.9650i	0.0573892	+	1.46318i
$169$	−8.50579	−	9.81620i	−0.654292	−	0.755093i
$170$	10.4264	−	0.0607424i	0.799670	−	0.00465873i
$171$	−8.28341	+	20.4447i	−0.633448	+	1.56344i
$172$	5.82302	−	0.0678500i	0.444001	−	0.00517351i
$173$	−8.77634	+	2.57697i	−0.667253	+	0.195923i	−0.597779	−	0.801661i	$-0.703950\pi$
$173$	−8.77634	+	2.57697i	−0.667253	+	0.195923i	−0.0694735	+	0.997584i	$0.522132\pi$
$174$	−5.45188	−	3.29511i	−0.413306	−	0.249802i
$175$	−12.1777	+	1.75089i	−0.920549	+	0.132355i
$176$	−16.8825	+	2.83031i	−1.27257	+	0.213343i
$177$	−1.90095	+	0.918556i	−0.142884	+	0.0690429i
$178$	−7.53509	+	3.49436i	−0.564779	+	0.261913i
$179$	2.76722	−	19.2465i	0.206832	−	1.43855i	−0.576577	−	0.817043i	$-0.695612\pi$
$179$	2.76722	−	19.2465i	0.206832	−	1.43855i	0.783409	−	0.621506i	$-0.213479\pi$
$180$	−5.82315	+	5.63636i	−0.434032	+	0.420109i
$181$	−5.45680	+	6.29748i	−0.405600	+	0.468088i	−0.921397	−	0.388623i	$-0.872951\pi$
$181$	−5.45680	+	6.29748i	−0.405600	+	0.468088i	0.515796	+	0.856711i	$0.327496\pi$
$182$	−0.531172	−	0.238848i	−0.0393731	−	0.0177046i
$183$	−0.205550	−	9.45998i	−0.0151947	−	0.699301i
$184$	12.8461	−	4.35642i	0.947025	−	0.321159i
$185$		−	0.406137i		−	0.0298598i
$186$	−4.47057	+	10.5489i	−0.327798	+	0.773485i
$187$	−17.6541	−	15.2974i	−1.29099	−	1.11865i
$188$	8.67314	−	7.69406i	0.632554	−	0.561147i
$189$	1.56108	−	20.0702i	0.113552	−	1.45989i
$190$	−5.90903	−	12.7420i	−0.428686	−	0.924402i
$191$	9.83042	+	21.5256i	0.711304	+	1.55754i	0.825704	+	0.564104i	$0.190778\pi$
$191$	9.83042	+	21.5256i	0.711304	+	1.55754i	−0.114399	+	0.993435i	$0.536494\pi$
$192$	13.8051	+	1.19184i	0.996294	+	0.0860138i
$193$	−1.81454	−	12.6204i	−0.130613	−	0.908437i	−0.944757	−	0.327773i	$-0.893702\pi$
$193$	−1.81454	−	12.6204i	−0.130613	−	0.908437i	0.814143	−	0.580664i	$-0.197207\pi$
$194$	0.312841	+	0.198485i	0.0224607	+	0.0142504i
$195$	−0.0752289	−	0.237031i	−0.00538725	−	0.0169741i
$196$	16.0175	−	0.186636i	1.14411	−	0.0133312i
$197$	0.856740	−	1.87600i	0.0610402	−	0.133659i	−0.876654	−	0.481122i	$-0.840229\pi$
$197$	0.856740	−	1.87600i	0.0610402	−	0.133659i	0.937694	+	0.347463i	$0.112957\pi$
$198$	18.1345	−	0.894313i	1.28876	−	0.0635561i
$199$	−7.16487	+	6.20839i	−0.507904	+	0.440101i	−0.870734	−	0.491754i	$-0.836356\pi$
$199$	−7.16487	+	6.20839i	−0.507904	+	0.440101i	0.362830	+	0.931855i	$0.381811\pi$
$200$	0.156973	+	8.98065i	0.0110997	+	0.635028i
$201$	6.38307	+	9.47327i	0.450227	+	0.668193i
$202$	0.740182	−	2.57626i	0.0520790	−	0.181265i
$203$	−5.44720	+	8.47602i	−0.382319	+	0.594900i
$204$	10.7479	+	15.5570i	0.752505	+	1.08921i
$205$	5.24297	+	1.53947i	0.366185	+	0.107522i
$206$	1.70335	−	12.3577i	0.118678	−	0.861001i
$207$	−14.0710	+	3.00099i	−0.978005	+	0.208584i
$208$	−0.221481	+	0.362956i	−0.0153569	+	0.0251665i
$209$	−8.86540	+	30.1928i	−0.613232	+	2.08848i
$210$	8.65753	+	9.45213i	0.597426	+	0.652259i
$211$	11.7343	−	18.2589i	0.807823	−	1.25700i	−0.155281	−	0.987870i	$-0.549628\pi$
$211$	11.7343	−	18.2589i	0.807823	−	1.25700i	0.963105	−	0.269127i	$-0.0867353\pi$
$212$	15.0832	+	6.67699i	1.03592	+	0.458577i
$213$	−16.5501	+	11.1514i	−1.13399	+	0.764083i
$214$	18.2230	−	5.46626i	1.24570	−	0.373666i
$215$	2.97223	−	2.57545i	0.202705	−	0.175644i
$216$	−14.3953	−	2.96227i	−0.979477	−	0.201557i
$217$	16.4834	+	7.52771i	1.11896	+	0.511014i
$218$	24.8170	−	3.71584i	1.68082	−	0.251668i
$219$	7.76728	+	24.4732i	0.524864	+	1.65374i
$220$	−7.46834	+	8.82461i	−0.503515	+	0.594955i
$221$	−0.574322	+	0.0825750i	−0.0386331	+	0.00555459i
$222$	0.608405	−	0.415116i	0.0408335	−	0.0278608i
$223$	9.68723	+	21.2121i	0.648705	+	1.42047i	0.892683	+	0.450685i	$0.148820\pi$
$223$	9.68723	+	21.2121i	0.648705	+	1.42047i	−0.243979	+	0.969781i	$0.578453\pi$
$224$	2.48581	−	21.7743i	0.166090	−	1.45485i
$225$	0.944936	−	9.47989i	0.0629958	−	0.631993i
$226$	−20.0396	−	17.1610i	−1.33301	−	1.14153i
$227$	9.66454	+	8.37437i	0.641458	+	0.555826i	0.913693	−	0.406404i	$-0.133218\pi$
$227$	9.66454	+	8.37437i	0.641458	+	0.555826i	−0.272235	+	0.962231i	$0.587763\pi$
$228$	13.0482	−	21.8756i	0.864139	−	1.44875i
$229$	−11.5546			−0.763552			−0.381776	−	0.924255i	$-0.624687\pi$
$229$	−11.5546			−0.763552			−0.381776	+	0.924255i	$0.624687\pi$
$230$	4.72168	−	7.85029i	0.311338	−	0.517633i
$231$	−0.623824	−	28.7101i	−0.0410446	−	1.88899i
$232$	5.64248	+	4.71913i	0.370447	+	0.309826i
$233$	−9.54136	−	8.26764i	−0.625076	−	0.541631i	0.283702	−	0.958913i	$-0.408437\pi$
$233$	−9.54136	−	8.26764i	−0.625076	−	0.541631i	−0.908777	+	0.417282i	$0.862983\pi$
$234$	0.278187	−	0.354966i	0.0181857	−	0.0232049i
$235$	1.11433	−	7.75031i	0.0726907	−	0.505575i
$236$	2.33095	−	0.714031i	0.151732	−	0.0464795i
$237$	−2.97081	−	6.14810i	−0.192975	−	0.399362i
$238$	25.0643	−	16.3150i	1.62468	−	1.05754i
$239$	6.85875	−	0.986139i	0.443655	−	0.0637880i	0.0831328	−	0.996538i	$-0.473507\pi$
$239$	6.85875	−	0.986139i	0.443655	−	0.0637880i	0.360523	+	0.932750i	$0.382598\pi$
$240$	7.63665	−	5.40848i	0.492943	−	0.349116i
$241$	3.52115	+	11.9920i	0.226818	+	0.772470i	0.991731	+	0.128336i	$0.0409636\pi$
$241$	3.52115	+	11.9920i	0.226818	+	0.772470i	−0.764913	+	0.644133i	$0.777218\pi$
$242$	10.2302	−	1.53176i	0.657619	−	0.0984650i
$243$	14.7982	+	4.90027i	0.949306	+	0.314352i
$244$	−1.42882	+	10.8322i	−0.0914710	+	0.693460i
$245$	8.17578	−	7.08435i	0.522331	−	0.452603i
$246$	3.05271	+	9.42763i	0.194633	+	0.601084i
$247$	0.422572	+	0.657535i	0.0268876	+	0.0418380i
$248$	6.95685	−	11.2527i	0.441760	−	0.714548i
$249$	−11.3961	−	6.97876i	−0.722199	−	0.442261i
$250$	10.2954	+	11.7426i	0.651141	+	0.742670i
$251$	−2.07799	+	7.07699i	−0.131162	+	0.446695i	−0.998717	−	0.0506457i	$-0.983872\pi$
$251$	−2.07799	+	7.07699i	−0.131162	+	0.446695i	0.867555	+	0.497341i	$0.165690\pi$
$252$	−5.31063	+	22.6303i	−0.334538	+	1.42558i
$253$	−19.5489	+	6.25077i	−1.22903	+	0.392982i
$254$	0.611442	+	0.0842794i	0.0383653	+	0.00528816i
$255$	12.3279	+	3.33069i	0.772004	+	0.208576i
$256$	−15.5452	−	3.78760i	−0.971577	−	0.236725i
$257$	10.5289	−	16.3834i	0.656778	−	1.02197i	−0.339895	−	0.940463i	$-0.610392\pi$
$257$	10.5289	−	16.3834i	0.656778	−	1.02197i	0.996673	−	0.0815028i	$-0.0259720\pi$
$258$	6.89605	+	1.82010i	0.429329	+	0.113314i
$259$	−0.629803	−	0.979992i	−0.0391341	−	0.0608938i
$260$	0.0441752	+	0.283736i	0.00273963	+	0.0175966i
$261$	−5.36052	−	5.66887i	−0.331808	−	0.350894i
$262$	0.118801	+	20.3922i	0.00733958	+	1.25984i
$263$	−10.1347	+	22.1920i	−0.624935	+	1.36842i	0.286940	+	0.957949i	$0.407362\pi$
$263$	−10.1347	+	22.1920i	−0.624935	+	1.36842i	−0.911875	+	0.410468i	$0.865365\pi$
$264$	−20.8530	−	2.16808i	−1.28341	−	0.133436i
$265$	10.6886	−	3.13846i	0.656596	−	0.192794i
$266$	−34.0175	−	21.5827i	−2.08574	−	1.32332i
$267$	−10.0353	+	1.66611i	−0.614147	+	0.101964i
$268$	−5.61884	−	11.9336i	−0.343225	−	0.728960i
$269$	2.10333	+	4.60565i	0.128242	+	0.280811i	0.962852	−	0.270031i	$-0.0870339\pi$
$269$	2.10333	+	4.60565i	0.128242	+	0.280811i	−0.834609	+	0.550842i	$0.814307\pi$
$270$	−8.71333	+	4.75333i	−0.530277	+	0.289278i
$271$	1.74848	−	12.1609i	0.106212	−	0.738724i	−0.865217	−	0.501397i	$-0.832820\pi$
$271$	1.74848	−	12.1609i	0.106212	−	0.738724i	0.971430	−	0.237327i	$-0.0762712\pi$
$272$	−9.53042	−	19.6440i	−0.577867	−	1.19109i
$273$	−0.549092	−	0.455288i	−0.0332325	−	0.0275553i
$274$	16.0141	+	7.20093i	0.967446	+	0.435024i
$275$		−	13.5902i		−	0.819520i
$276$	16.5860	−	0.950644i	0.998361	−	0.0572221i
$277$			13.4551i			0.808438i	0.914662	+	0.404219i	$0.132457\pi$
$277$			13.4551i			0.808438i	−0.914662	+	0.404219i	$0.867543\pi$
$278$	−6.17114	+	13.7239i	−0.370121	+	0.823108i
$279$	−8.71975	+	10.9939i	−0.522038	+	0.658185i
$280$	−8.21824	−	12.3094i	−0.491134	−	0.735627i
$281$	1.36494	−	9.49336i	0.0814255	−	0.566327i	−0.907741	−	0.419530i	$-0.862195\pi$
$281$	1.36494	−	9.49336i	0.0814255	−	0.566327i	0.989167	−	0.146796i	$-0.0468961\pi$
$282$	12.7492	−	6.25237i	0.759201	−	0.372323i
$283$	−1.58371	−	3.46784i	−0.0941419	−	0.206142i	0.856703	−	0.515811i	$-0.172509\pi$
$283$	−1.58371	−	3.46784i	−0.0941419	−	0.206142i	−0.950845	+	0.309669i	$0.899782\pi$
$284$	20.8483	−	9.81628i	1.23712	−	0.582489i
$285$	−2.81742	−	16.9698i	−0.166890	−	1.00521i
$286$	0.344656	−	0.543228i	0.0203800	−	0.0321218i
$287$	15.0384	−	4.41566i	0.887686	−	0.260648i
$288$	15.9075	+	5.91186i	0.937361	+	0.348359i
$289$	5.31516	−	11.6386i	0.312657	−	0.684623i
$290$	4.96763	−	0.0289405i	0.291709	−	0.00169945i
$291$	0.304529	+	0.336393i	0.0178518	+	0.0197197i
$292$	−4.56103	−	29.2954i	−0.266914	−	1.71438i
$293$	−1.51212	−	2.35291i	−0.0883390	−	0.137458i	0.794272	−	0.607563i	$-0.207853\pi$
$293$	−1.51212	−	2.35291i	−0.0883390	−	0.137458i	−0.882611	+	0.470104i	$0.844216\pi$
$294$	18.9691	+	5.00657i	1.10630	+	0.291989i
$295$	0.890112	−	1.38504i	0.0518243	−	0.0806402i
$296$	−0.767325	+	0.366766i	−0.0445999	+	0.0213178i
$297$	21.6991	+	4.86201i	1.25911	+	0.282123i
$298$	−3.64016	+	26.4091i	−0.210869	+	1.52984i
$299$	−0.200643	+	0.468646i	−0.0116035	+	0.0271025i
$300$	−2.74530	+	10.6526i	−0.158500	+	0.615030i
$301$	3.17808	−	10.8235i	0.183181	−	0.623859i
$302$	−20.0400	+	17.5702i	−1.15317	+	1.01105i
$303$	1.71446	−	2.79966i	0.0984930	−	0.160836i
$304$	−18.7376	+	22.6708i	−1.07467	+	1.30026i
$305$	3.98931	+	6.20749i	0.228427	+	0.355440i
$306$	7.61100	+	21.8719i	0.435092	+	1.25033i
$307$	0.491149	−	0.425583i	0.0280313	−	0.0242893i	−0.640732	−	0.767764i	$-0.721369\pi$
$307$	0.491149	−	0.425583i	0.0280313	−	0.0242893i	0.668764	+	0.743475i	$0.266824\pi$
$308$	−4.33634	+	32.8747i	−0.247086	+	1.87321i
$309$	6.04336	−	14.0320i	0.343795	−	0.798255i
$310$	−1.32302	−	8.83605i	−0.0751423	−	0.501854i
$311$	6.76853	+	23.0515i	0.383808	+	1.30713i	0.894385	+	0.447299i	$0.147614\pi$
$311$	6.76853	+	23.0515i	0.383808	+	1.30713i	−0.510576	+	0.859832i	$0.670568\pi$
$312$	−0.379893	+	0.356184i	−0.0215072	+	0.0201650i
$313$	7.98983	−	1.14876i	0.451612	−	0.0649320i	0.0872437	−	0.996187i	$-0.472194\pi$
$313$	7.98983	−	1.14876i	0.451612	−	0.0649320i	0.364368	+	0.931255i	$0.381285\pi$
$314$	−14.0440	−	21.5755i	−0.792548	−	1.21757i
$315$	7.13551	+	13.9831i	0.402040	+	0.787860i
$316$	2.30933	+	7.53880i	0.129910	+	0.424090i
$317$	1.99312	−	13.8624i	0.111945	−	0.778591i	−0.854080	−	0.520141i	$-0.825879\pi$
$317$	1.99312	−	13.8624i	0.111945	−	0.778591i	0.966025	−	0.258450i	$-0.0832117\pi$
$318$	15.6264	+	12.8040i	0.876287	+	0.718013i
$319$	−8.41123	−	7.28837i	−0.470939	−	0.408071i
$320$	−9.66620	+	4.82955i	−0.540357	+	0.269980i
$321$	23.2954	−	0.506172i	1.30022	−	0.0282517i
$322$	−0.780352	−	26.2644i	−0.0434873	−	1.46366i
$323$	−40.1361			−2.23323
$324$	−16.0266	−	8.19441i	−0.890366	−	0.455245i
$325$	−0.255114	−	0.221058i	−0.0141512	−	0.0122621i
$326$	−7.26420	+	8.48269i	−0.402327	+	0.469813i
$327$	30.5083	+	3.71194i	1.68711	+	0.205271i
$328$	−1.82614	−	11.2959i	−0.100832	−	0.623712i
$329$	−9.32969	−	20.4292i	−0.514363	−	1.12630i
$330$	−11.6958	+	7.98010i	−0.643835	+	0.439290i
$331$	−24.2483	+	3.48638i	−1.33281	+	0.191629i	−0.771632	−	0.636069i	$-0.780559\pi$
$331$	−24.2483	+	3.48638i	−1.33281	+	0.191629i	−0.561174	+	0.827698i	$0.689650\pi$
$332$	11.7785	+	9.96825i	0.646430	+	0.547079i
$333$	0.853668	−	0.291496i	0.0467807	−	0.0159739i
$334$	2.13081	+	14.2311i	0.116593	+	0.778690i
$335$	−8.10298	−	3.70051i	−0.442713	−	0.202180i
$336$	10.0399	−	24.8927i	0.547721	−	1.35801i
$337$	−13.9502	+	12.0879i	−0.759914	+	0.658470i	−0.946038	−	0.324057i	$-0.894953\pi$
$337$	−13.9502	+	12.0879i	−0.759914	+	0.658470i	0.186123	+	0.982526i	$0.440408\pi$
$338$	5.27768	+	17.5943i	0.287068	+	0.957003i
$339$	−18.0561	−	26.7975i	−0.980672	−	1.45544i
$340$	−13.4834	−	5.96878i	−0.731239	−	0.323703i
$341$	−10.8220	+	16.8393i	−0.586042	+	0.911900i
$342$	22.5416	−	21.5656i	1.21891	−	1.16613i
$343$	1.10162	−	3.75179i	0.0594821	−	0.202577i
$344$	−7.54997	−	3.28973i	−0.407067	−	0.177370i
$345$	8.13554	−	7.72625i	0.438003	−	0.415967i
$346$	12.8144	+	1.76630i	0.688909	+	0.0949571i
$347$	12.0209	+	3.52964i	0.645314	+	0.189481i	0.587982	−	0.808874i	$-0.299923\pi$
$347$	12.0209	+	3.52964i	0.645314	+	0.189481i	0.0573316	+	0.998355i	$0.481741\pi$
$348$	5.12081	+	7.41208i	0.274504	+	0.397329i
$349$	−8.49383	+	13.2167i	−0.454664	+	0.707472i	−0.990600	−	0.136787i	$-0.956322\pi$
$349$	−8.49383	+	13.2167i	−0.454664	+	0.707472i	0.535936	+	0.844259i	$0.319959\pi$
$350$	16.7225	+	4.80452i	0.893855	+	0.256813i
$351$	0.444226	−	0.328249i	0.0237110	−	0.0175206i
$352$	23.4169	+	6.14098i	1.24812	+	0.327315i
$353$	−22.9155	+	19.8564i	−1.21967	+	1.05685i	−0.223038	+	0.974810i	$0.571597\pi$
$353$	−22.9155	+	19.8564i	−1.21967	+	1.05685i	−0.996629	+	0.0820375i	$0.973857\pi$
$354$	2.98462	−	0.0822492i	0.158631	−	0.00437150i
$355$	6.46490	−	14.1562i	0.343121	−	0.751331i
$356$	11.7455	−	0.136859i	0.622512	−	0.00725353i
$357$	34.9117	−	11.0803i	1.84772	−	0.586430i
$358$	−14.7318	+	23.2194i	−0.778600	+	1.22719i
$359$	−3.00472	−	20.8983i	−0.158583	−	1.10297i	−0.901247	−	0.433306i	$-0.857347\pi$
$359$	−3.00472	−	20.8983i	−0.158583	−	1.10297i	0.742664	−	0.669665i	$-0.233562\pi$
$360$	10.7798	−	3.89254i	0.568143	−	0.205155i
$361$	14.5672	+	31.8976i	0.766693	+	1.67882i
$362$	10.6907	−	4.95774i	0.561889	−	0.260573i
$363$	12.5762	+	1.53015i	0.660082	+	0.0803121i
$364$	0.546586	+	0.616140i	0.0286489	+	0.0322945i
$365$	−15.1323	−	13.1122i	−0.792060	−	0.686324i
$366$	−5.22149	+	12.3208i	−0.272932	+	0.644020i
$367$			10.8014i			0.563831i	0.959439	+	0.281915i	$0.0909698\pi$
$367$			10.8014i			0.563831i	−0.959439	+	0.281915i	$0.909030\pi$
$368$	−19.0957	−	1.83151i	−0.995432	−	0.0954741i
$369$	0.527171	+	12.1252i	0.0274434	+	0.631214i
$370$	−0.235552	+	0.523842i	−0.0122458	+	0.0272332i
$371$	20.9243	−	24.1480i	1.08634	−	1.25370i
$372$	11.8844	−	11.0133i	0.616177	−	0.571014i
$373$	1.07257	−	7.45991i	0.0555357	−	0.386259i	−0.943029	−	0.332709i	$-0.892037\pi$
$373$	1.07257	−	7.45991i	0.0555357	−	0.386259i	0.998565	−	0.0535501i	$-0.0170537\pi$
$374$	13.8983	+	29.9698i	0.718665	+	1.54970i
$375$	8.32156	+	17.2215i	0.429724	+	0.889314i
$376$	−15.6492	+	4.89365i	−0.807044	+	0.252371i
$377$	−0.273634	+	0.0393426i	−0.0140928	+	0.00202625i
$378$	−13.6539	+	24.9815i	−0.702279	+	1.28491i
$379$	28.3958	−	8.33775i	1.45859	−	0.428281i	0.546219	−	0.837642i	$-0.316066\pi$
$379$	28.3958	−	8.33775i	1.45859	−	0.428281i	0.912373	+	0.409361i	$0.134248\pi$
$380$	0.231432	+	19.8620i	0.0118722	+	1.01890i
$381$	0.694288	+	0.299018i	0.0355694	+	0.0153191i
$382$	−0.194964	−	33.4655i	−0.00997522	−	1.71224i
$383$	−13.9374	−	16.0846i	−0.712168	−	0.821886i	0.278174	−	0.960531i	$-0.410271\pi$
$383$	−13.9374	−	16.0846i	−0.712168	−	0.821886i	−0.990342	+	0.138645i	$0.955725\pi$
$384$	−17.1147	−	9.54393i	−0.873382	−	0.487037i
$385$	12.1072	+	18.8391i	0.617039	+	0.960131i
$386$	−4.97918	+	17.3304i	−0.253434	+	0.882093i
$387$	7.54665	+	4.39892i	0.383618	+	0.223610i
$388$	−0.288389	−	0.437451i	−0.0146408	−	0.0222082i
$389$	−5.30224	+	18.0578i	−0.268834	+	0.915566i	0.708827	+	0.705382i	$0.249225\pi$
$389$	−5.30224	+	18.0578i	−0.268834	+	0.915566i	−0.977662	+	0.210184i	$0.932594\pi$
$390$	−0.0404423	+	0.349357i	−0.00204788	+	0.0176904i
$391$	−14.6746	−	21.6781i	−0.742125	−	1.09631i
$392$	−20.7678	−	9.04912i	−1.04893	−	0.457050i
$393$	−6.51424	+	24.1112i	−0.328600	+	1.21625i
$394$	−2.19308	+	1.92280i	−0.110486	+	0.0968691i
$395$	4.47953	+	2.87882i	0.225389	+	0.144849i
$396$	−23.9088	−	9.36418i	−1.20146	−	0.470568i
$397$	−3.07800	−	4.78947i	−0.154481	−	0.240376i	0.755383	−	0.655283i	$-0.227451\pi$
$397$	−3.07800	−	4.78947i	−0.154481	−	0.240376i	−0.909864	+	0.414907i	$0.863814\pi$
$398$	12.8421	−	3.85219i	0.643717	−	0.193093i
$399$	−33.1137	−	36.5785i	−1.65776	−	1.83121i
$400$	5.00614	−	11.6744i	0.250307	−	0.583721i
$401$	5.31237	−	11.6325i	0.265287	−	0.580898i	−0.729371	−	0.684118i	$-0.760187\pi$
$401$	5.31237	−	11.6325i	0.265287	−	0.580898i	0.994659	+	0.103220i	$0.0329146\pi$
$402$	−2.73866	−	15.9208i	−0.136592	−	0.794059i
$403$	0.140077	+	0.477057i	0.00697771	+	0.0237639i
$404$	−2.44888	+	2.89360i	−0.121836	+	0.143962i
$405$	−11.8370	+	2.76779i	−0.588184	+	0.137533i
$406$	11.9418	−	7.77321i	0.592662	−	0.385778i
$407$	1.17052	−	0.534558i	0.0580205	−	0.0264971i
$408$	−4.84007	−	26.2992i	−0.239619	−	1.30201i
$409$	−0.0192862	+	0.134139i	−0.000953642	+	0.00663273i	−0.990293	−	0.138998i	$-0.955612\pi$
$409$	−0.0192862	+	0.134139i	−0.000953642	+	0.00663273i	0.989339	+	0.145630i	$0.0465210\pi$
$410$	−5.86959	−	5.02646i	−0.289879	−	0.248239i
$411$	16.5543	+	13.7263i	0.816565	+	0.677067i
$412$	−9.36423	+	14.9512i	−0.461342	+	0.736593i
$413$		−	4.72236i		−	0.232372i
$414$	19.8895	+	4.29021i	0.977518	+	0.210852i
$415$	10.4209			0.511543
$416$	0.496176	−	0.339691i	0.0243271	−	0.0166547i
$417$	−11.7633	+	14.1869i	−0.576052	+	0.694737i
$418$	28.9460	−	33.8013i	1.41579	−	1.65328i
$419$	−31.4270	−	4.51852i	−1.53531	−	0.220744i	−0.677813	−	0.735235i	$-0.737072\pi$
$419$	−31.4270	−	4.51852i	−1.53531	−	0.220744i	−0.857496	+	0.514490i	$0.827981\pi$
$420$	−5.68455	−	17.2127i	−0.277377	−	0.839894i
$421$	−4.70070	−	10.2931i	−0.229098	−	0.501655i	0.759817	−	0.650137i	$-0.225289\pi$
$421$	−4.70070	−	10.2931i	−0.229098	−	0.501655i	−0.988915	+	0.148482i	$0.952561\pi$
$422$	−25.7249	+	16.7450i	−1.25227	+	0.815133i
$423$	17.0903	−	3.22039i	0.830959	−	0.156580i
$424$	−15.5820	−	17.3601i	−0.756729	−	0.843079i
$425$	16.6319	−	4.88356i	0.806765	−	0.236887i
$426$	27.8142	−	4.78452i	1.34760	−	0.231811i
$427$	19.2521	+	8.79213i	0.931673	+	0.425481i
$428$	−26.6746	−	3.51851i	−1.28936	−	0.170074i
$429$	0.584125	−	0.528796i	0.0282018	−	0.0255305i
$430$	−5.32734	+	1.59802i	−0.256907	+	0.0770633i
$431$	34.4681	−	22.1513i	1.66027	−	1.06699i	0.742529	−	0.669814i	$-0.233626\pi$
$431$	34.4681	−	22.1513i	1.66027	−	1.06699i	0.917742	−	0.397177i	$-0.130010\pi$
$432$	16.8492	+	12.1698i	0.810658	+	0.585519i
$433$	−1.73169	+	2.69457i	−0.0832199	+	0.129493i	−0.880368	−	0.474291i	$-0.842705\pi$
$433$	−1.73169	+	2.69457i	−0.0832199	+	0.129493i	0.797148	+	0.603784i	$0.206341\pi$
$434$	−16.8946	−	19.2694i	−0.810965	−	0.924961i
$435$	5.87359	+	1.58689i	0.281617	+	0.0760858i
$436$	−34.1645	−	9.60066i	−1.63618	−	0.459788i
$437$	−18.3513	+	30.1124i	−0.877862	+	1.44047i
$438$	4.17562	−	36.0707i	0.199519	−	1.72353i
$439$	−32.4237	−	9.52044i	−1.54750	−	0.454386i	−0.607145	−	0.794591i	$-0.707685\pi$
$439$	−32.4237	−	9.52044i	−1.54750	−	0.454386i	−0.940351	+	0.340205i	$0.889504\pi$
$440$	14.7509	−	7.05061i	0.703220	−	0.336125i
$441$	20.7587	+	12.1002i	0.988510	+	0.576199i
$442$	0.788660	+	0.226589i	0.0375127	+	0.0107778i
$443$	−11.4669	+	7.36935i	−0.544811	+	0.350129i	−0.783918	−	0.620865i	$-0.786782\pi$
$443$	−11.4669	+	7.36935i	−0.544811	+	0.350129i	0.239107	+	0.970993i	$0.423145\pi$
$444$	−1.02549	+	0.182560i	−0.0486676	+	0.00866389i
$445$	5.99525	−	5.19491i	0.284202	−	0.246262i
$446$	−0.192124	−	32.9780i	−0.00909734	−	1.56156i
$447$	−12.9150	+	29.9874i	−0.610861	+	1.41835i
$448$	−15.8349	+	26.6430i	−0.748129	+	1.25876i
$449$	0.715954	+	2.43831i	0.0337879	+	0.115071i	0.974660	−	0.223690i	$-0.0718103\pi$
$449$	0.715954	+	2.43831i	0.0337879	+	0.115071i	−0.940872	+	0.338761i	$0.889992\pi$
$450$	−6.71695	+	11.6793i	−0.316640	+	0.550566i
$451$	2.46391	+	17.1369i	0.116021	+	0.806945i
$452$	15.8943	+	33.7571i	0.747603	+	1.58780i
$453$	−29.3903	+	14.2016i	−1.38087	+	0.667250i
$454$	−7.60848	−	16.4066i	−0.357084	−	0.770002i
$455$	0.550582	+	0.0791617i	0.0258117	+	0.00371116i
$456$	−29.5172	+	20.6478i	−1.38227	+	0.966920i
$457$	3.44015	+	2.98091i	0.160923	+	0.139441i	0.731600	−	0.681734i	$-0.238774\pi$
$457$	3.44015	+	2.98091i	0.160923	+	0.139441i	−0.570677	+	0.821175i	$0.693319\pi$
$458$	14.9033	+	6.70147i	0.696387	+	0.313139i
$459$	1.84725	+	28.3028i	0.0862220	+	1.32106i
$460$	−10.6431	+	7.38694i	−0.496237	+	0.344418i
$461$	36.4538			1.69782			0.848911	−	0.528535i	$-0.177259\pi$
$461$	36.4538			1.69782			0.848911	+	0.528535i	$0.177259\pi$
$462$	−15.8467	+	37.3925i	−0.737256	+	1.73966i
$463$	14.0409	−	16.2041i	0.652538	−	0.753069i	−0.329002	−	0.944329i	$-0.606712\pi$
$463$	14.0409	−	16.2041i	0.652538	−	0.753069i	0.981539	+	0.191261i	$0.0612576\pi$
$464$	−4.54074	−	9.35934i	−0.210798	−	0.434496i
$465$	1.32163	−	10.8624i	0.0612892	−	0.503733i
$466$	7.51151	+	16.1975i	0.347964	+	0.750336i
$467$	18.8733	−	8.61913i	0.873350	−	0.398846i	0.0722576	−	0.997386i	$-0.476980\pi$
$467$	18.8733	−	8.61913i	0.873350	−	0.398846i	0.801093	+	0.598540i	$0.204252\pi$
$468$	−0.564684	+	0.296498i	−0.0261025	+	0.0137056i
$469$	−25.2906	+	3.63624i	−1.16781	+	0.167906i
$470$	−5.93231	+	9.35018i	−0.273637	+	0.431291i
$471$	−9.53793	−	30.0521i	−0.439485	−	1.38473i
$472$	−3.42062	−	0.430938i	−0.157447	−	0.0198355i
$473$	11.3347	+	5.17639i	0.521170	+	0.238011i
$474$	0.266012	+	9.65292i	0.0122183	+	0.443374i
$475$	−15.2912	−	17.6470i	−0.701609	−	0.809700i
$476$	−41.7907	+	6.50644i	−1.91547	+	0.298222i
$477$	14.2683	+	20.2140i	0.653301	+	0.925537i
$478$	−9.41845	−	2.70601i	−0.430790	−	0.123770i
$479$	−9.89060	−	6.35631i	−0.451913	−	0.290427i	0.294817	−	0.955554i	$-0.404741\pi$
$479$	−9.89060	−	6.35631i	−0.451913	−	0.290427i	−0.746731	+	0.665127i	$0.768378\pi$
$480$	−12.9867	+	2.54683i	−0.592758	+	0.116246i
$481$	0.00900494	−	0.0306680i	0.000410590	−	0.00139834i
$482$	2.41347	−	17.5096i	0.109931	−	0.797540i
$483$	7.64952	−	31.2590i	0.348065	−	1.42233i
$484$	−14.0834	−	3.95762i	−0.640154	−	0.179892i
$485$	−0.339520	−	0.0996920i	−0.0154168	−	0.00452678i
$486$	−16.2449	−	14.9031i	−0.736884	−	0.676020i
$487$	−20.2721	−	13.0281i	−0.918615	−	0.590358i	−0.00635921	−	0.999980i	$-0.502024\pi$
$487$	−20.2721	−	13.0281i	−0.918615	−	0.590358i	−0.912255	+	0.409622i	$0.865661\pi$
$488$	8.12538	−	13.1428i	0.367819	−	0.594948i
$489$	−11.3433	+	7.64309i	−0.512961	+	0.345632i
$490$	−14.6540	+	4.39570i	−0.662002	+	0.198578i
$491$	23.0655	+	26.6190i	1.04093	+	1.20130i	0.979135	+	0.203209i	$0.0651370\pi$
$491$	23.0655	+	26.6190i	1.04093	+	1.20130i	0.0617950	+	0.998089i	$0.480318\pi$
$492$	1.53042	−	13.9304i	0.0689968	−	0.628031i
$493$	5.89709	−	12.9128i	0.265591	−	0.581564i
$494$	−0.163682	−	1.09318i	−0.00736439	−	0.0491846i
$495$	−16.4107	+	5.60364i	−0.737606	+	0.251865i
$496$	−15.4994	+	10.4791i	−0.695944	+	0.470524i
$497$	−6.35262	−	44.1834i	−0.284954	−	1.98190i
$498$	10.6513	+	15.6108i	0.477297	+	0.699538i
$499$	−33.1847	+	15.1549i	−1.48555	+	0.678428i	−0.982574	−	0.185872i	$-0.940489\pi$
$499$	−33.1847	+	15.1549i	−1.48555	+	0.678428i	−0.502977	+	0.864300i	$0.667762\pi$
$500$	−6.46869	−	21.1170i	−0.289289	−	0.944380i
$501$	−2.12858	+	17.4947i	−0.0950979	+	0.781607i
$502$	6.78474	−	7.92281i	0.302818	−	0.353612i
$503$	−16.2261	+	18.7259i	−0.723486	+	0.834947i	−0.991722	−	0.128406i	$-0.959014\pi$
$503$	−16.2261	+	18.7259i	−0.723486	+	0.834947i	0.268236	+	0.963353i	$0.413559\pi$
$504$	19.9749	−	26.1089i	0.889752	−	1.16298i
$505$			2.56009i			0.113922i
$506$	28.8398	+	3.27567i	1.28209	+	0.145621i
$507$	0.488709	+	22.4918i	0.0217043	+	0.998895i
$508$	−0.739767	−	0.463330i	−0.0328218	−	0.0205569i
$509$	−3.28222	+	3.78788i	−0.145482	+	0.167895i	−0.823814	−	0.566861i	$-0.808158\pi$
$509$	−3.28222	+	3.78788i	−0.145482	+	0.167895i	0.678332	+	0.734756i	$0.262703\pi$
$510$	−13.9690	−	11.4459i	−0.618557	−	0.506834i
$511$	−56.8469	−	8.17335i	−2.51476	−	0.361568i
$512$	17.8537	+	13.9012i	0.789031	+	0.614354i
$513$	33.6471	−	18.1017i	1.48555	−	0.799209i
$514$	−23.0824	+	15.0249i	−1.01812	+	0.662720i
$515$	1.69557	+	11.7930i	0.0747158	+	0.519660i
$516$	−7.83900	−	6.34716i	−0.345093	−	0.279418i
$517$	23.8037	−	6.98939i	1.04688	−	0.307393i
$518$	0.243952	+	1.62928i	0.0107186	+	0.0715866i
$519$	14.5507	+	6.26673i	0.638705	+	0.275079i
$520$	0.107584	−	0.391587i	0.00471786	−	0.0171722i
$521$	−5.22290	−	6.02755i	−0.228819	−	0.264072i	0.629717	−	0.776825i	$-0.283171\pi$
$521$	−5.22290	−	6.02755i	−0.228819	−	0.264072i	−0.858536	+	0.512753i	$0.828626\pi$
$522$	3.62624	+	10.4208i	0.158716	+	0.456106i
$523$	7.03210	−	4.51926i	0.307492	−	0.197613i	−0.377789	−	0.925892i	$-0.623316\pi$
$523$	7.03210	−	4.51926i	0.307492	−	0.197613i	0.685281	+	0.728278i	$0.259679\pi$
$524$	11.6739	−	26.3711i	0.509976	−	1.15203i
$525$	18.1726	+	11.1286i	0.793117	+	0.485690i
$526$	25.9429	−	22.7456i	1.13116	−	0.991755i
$527$	−24.4970	−	7.19296i	−1.06711	−	0.313330i
$528$	25.6390	+	14.8907i	1.11579	+	0.648037i
$529$	−22.9738	+	1.09792i	−0.998860	+	0.0477356i
$530$	−15.6066	−	2.15116i	−0.677907	−	0.0934406i
$531$	3.55010	+	0.876861i	0.154061	+	0.0380525i
$532$	31.3586	+	47.5672i	1.35957	+	2.06230i
$533$	0.361771	+	0.232496i	0.0156700	+	0.0100705i
$534$	13.9099	+	3.67129i	0.601941	+	0.158872i
$535$	−15.2861	+	9.82379i	−0.660876	+	0.424719i
$536$	0.326000	+	18.6509i	0.0140811	+	0.805598i
$537$	−24.9675	+	22.6025i	−1.07743	+	0.975372i
$538$	−0.0417147	−	7.16032i	−0.00179845	−	0.308703i
$539$	31.1786	+	14.2388i	1.34296	+	0.613308i
$540$	13.9954	−	1.07734i	0.602267	−	0.0463612i
$541$	3.88534	+	13.2322i	0.167044	+	0.568899i	0.999882	+	0.0153818i	$0.00489636\pi$
$541$	3.88534	+	13.2322i	0.167044	+	0.568899i	−0.832838	+	0.553517i	$0.813285\pi$
$542$	−9.30832	+	14.6713i	−0.399827	+	0.630184i
$543$	14.2379	−	2.36385i	0.611005	−	0.101442i
$544$	0.899303	+	30.8646i	0.0385573	+	1.32331i
$545$	−21.8008	+	9.95608i	−0.933842	+	0.426471i
$546$	0.444168	+	0.905699i	0.0190086	+	0.0387604i
$547$	−30.2651	−	4.35146i	−1.29404	−	0.186055i	−0.539320	−	0.842101i	$-0.681319\pi$
$547$	−30.2651	−	4.35146i	−1.29404	−	0.186055i	−0.754721	+	0.656046i	$0.772228\pi$
$548$	−16.4788	−	18.5757i	−0.703939	−	0.793516i
$549$	−10.1844	+	12.8405i	−0.434660	+	0.548019i
$550$	−7.88206	+	17.5288i	−0.336092	+	0.747432i
$551$	−19.1227			−0.814654
$552$	−21.9443	−	8.39343i	−0.934010	−	0.357248i
$553$	15.2731			0.649480
$554$	7.80370	−	17.3546i	0.331548	−	0.737325i
$555$	−0.449005	+	0.541514i	−0.0190592	+	0.0229860i
$556$	15.9193	−	14.1222i	0.675127	−	0.598915i
$557$	39.5311	+	5.68371i	1.67499	+	0.240827i	0.913349	−	0.407177i	$-0.133487\pi$
$557$	39.5311	+	5.68371i	1.67499	+	0.240827i	0.761637	+	0.648004i	$0.224396\pi$
$558$	17.6231	−	9.12275i	0.746045	−	0.386197i
$559$	0.281541	−	0.128575i	0.0119079	−	0.00543816i
$560$	3.46079	+	20.6433i	0.146245	+	0.872337i
$561$	6.62671	+	39.9138i	0.279780	+	1.68516i
$562$	−7.26649	+	11.4530i	−0.306518	+	0.483117i
$563$	2.22798	+	7.58779i	0.0938980	+	0.319787i	0.993026	−	0.117899i	$-0.0376161\pi$
$563$	2.22798	+	7.58779i	0.0938980	+	0.319787i	−0.899128	+	0.437687i	$0.855798\pi$
$564$	−20.0703	+	0.670124i	−0.845112	+	0.0282173i
$565$	22.9213	+	10.4678i	0.964305	+	0.440384i
$566$	0.0314093	+	5.39140i	0.00132023	+	0.226617i
$567$	−24.2700	+	25.0343i	−1.01925	+	1.05134i
$568$	−32.5838	+	0.569532i	−1.36718	+	0.0238970i
$569$	−0.338440	+	0.217502i	−0.0141881	+	0.00911816i	−0.547716	−	0.836665i	$-0.684502\pi$
$569$	−0.338440	+	0.217502i	−0.0141881	+	0.00911816i	0.533528	+	0.845783i	$0.320866\pi$
$570$	−6.20823	+	23.5220i	−0.260034	+	0.985228i
$571$	0.390039	+	0.250663i	0.0163226	+	0.0104899i	0.548777	−	0.835969i	$-0.315094\pi$
$571$	0.390039	+	0.250663i	0.0163226	+	0.0104899i	−0.532454	+	0.846459i	$0.678730\pi$
$572$	−0.759605	+	0.500769i	−0.0317607	+	0.0209382i
$573$	10.6905	−	39.5687i	0.446600	−	1.65301i
$574$	−21.9577	−	3.02658i	−0.916496	−	0.126327i
$575$	3.94062	−	14.7111i	0.164335	−	0.613496i
$576$	−17.0890	−	16.8513i	−0.712042	−	0.702137i
$577$	−8.04876	−	2.36333i	−0.335074	−	0.0983867i	0.109867	−	0.993946i	$-0.464957\pi$
$577$	−8.04876	−	2.36333i	−0.335074	−	0.0983867i	−0.444942	+	0.895560i	$0.646776\pi$
$578$	−13.6057	+	11.9289i	−0.565924	+	0.496178i
$579$	−11.5331	+	18.8332i	−0.479299	+	0.782681i
$580$	−6.42411	−	2.84381i	−0.266747	−	0.118083i
$581$	25.1452	−	16.1599i	1.04320	−	0.670424i
$582$	−0.197685	−	0.610507i	−0.00819429	−	0.0253063i
$583$	23.1136	+	26.6746i	0.957269	+	1.10475i
$584$	−11.1079	+	40.4309i	−0.459647	+	1.67304i
$585$	−0.161745	+	0.399209i	−0.00668732	+	0.0165053i
$586$	0.585714	+	3.91181i	0.0241956	+	0.161596i
$587$	−21.4080	+	6.28596i	−0.883604	+	0.259449i	−0.691891	−	0.722002i	$-0.743222\pi$
$587$	−21.4080	+	6.28596i	−0.883604	+	0.259449i	−0.191712	+	0.981451i	$0.561404\pi$
$588$	−21.5629	−	17.4593i	−0.889239	−	0.720008i
$589$	4.89457	+	34.0425i	0.201677	+	1.40270i
$590$	−1.95138	+	1.27020i	−0.0803369	+	0.0522932i
$591$	−3.21632	+	1.55415i	−0.132302	+	0.0639293i
$592$	1.20242	−	0.0280252i	0.0494193	−	0.00115183i
$593$	8.61642	+	1.23885i	0.353834	+	0.0508737i	0.316940	−	0.948446i	$-0.397345\pi$
$593$	8.61642	+	1.23885i	0.353834	+	0.0508737i	0.0368939	+	0.999319i	$0.488254\pi$
$594$	−25.1679	−	18.8562i	−1.03265	−	0.773678i
$595$	−18.7050	+	21.5867i	−0.766828	+	0.884967i
$596$	20.0119	−	31.9517i	0.819721	−	1.30879i
$597$	16.4168	−	0.356710i	0.671895	−	0.0145992i
$598$	0.530598	−	0.488097i	0.0216978	−	0.0199598i
$599$		−	21.6277i		−	0.883682i	−0.897093	−	0.441841i	$-0.854326\pi$
$599$		−	21.6277i		−	0.883682i	0.897093	−	0.441841i	$-0.145674\pi$
$600$	9.71925	−	12.1477i	0.396787	−	0.495927i
$601$	12.7355	−	14.6975i	0.519491	−	0.599524i	−0.434013	−	0.900907i	$-0.642903\pi$
$601$	12.7355	−	14.6975i	0.519491	−	0.599524i	0.953503	+	0.301383i	$0.0974482\pi$
$602$	−10.3766	+	12.1171i	−0.422918	+	0.493858i
$603$	1.96244	−	19.6878i	0.0799166	−	0.801748i
$604$	36.0383	−	11.0395i	1.46638	−	0.449191i
$605$	−8.98679	+	4.10413i	−0.365365	+	0.166857i
$606$	−3.83508	+	2.61668i	−0.155790	+	0.106296i
$607$	−2.23708	−	15.5592i	−0.0908002	−	0.631530i	−0.983504	−	0.180886i	$-0.942104\pi$
$607$	−2.23708	−	15.5592i	−0.0908002	−	0.631530i	0.892704	−	0.450644i	$-0.148806\pi$
$608$	37.3167	−	18.3737i	1.51339	−	0.745154i
$609$	16.6336	−	5.27915i	0.674026	−	0.213922i
$610$	−1.54524	−	10.3202i	−0.0625651	−	0.417854i
$611$	0.255985	−	0.560530i	0.0103561	−	0.0226766i
$612$	2.86851	−	32.6249i	0.115953	−	1.31878i
$613$	−24.1228	−	27.8392i	−0.974309	−	1.12441i	−0.992210	−	0.124573i	$-0.960244\pi$
$613$	−24.1228	−	27.8392i	−0.974309	−	1.12441i	0.0179009	−	0.999840i	$-0.494302\pi$
$614$	−0.880321	+	0.264066i	−0.0355269	+	0.0106568i
$615$	−5.28863	−	7.84898i	−0.213258	−	0.316502i
$616$	24.6598	−	39.8872i	0.993570	−	1.60710i
$617$	−9.97748	−	6.41214i	−0.401678	−	0.258143i	0.324168	−	0.945999i	$-0.394916\pi$
$617$	−9.97748	−	6.41214i	−0.401678	−	0.258143i	−0.725847	+	0.687856i	$0.758552\pi$
$618$	−15.9331	+	14.5937i	−0.640925	+	0.587045i
$619$	0.388196	+	0.113985i	0.0156029	+	0.00458143i	0.289525	−	0.957171i	$-0.406503\pi$
$619$	0.388196	+	0.113985i	0.0156029	+	0.00458143i	−0.273922	+	0.961752i	$0.588321\pi$
$620$	−3.41830	+	12.1642i	−0.137282	+	0.488526i
$621$	22.0790	+	11.5549i	0.886001	+	0.463682i
$622$	4.63929	−	33.6578i	0.186019	−	1.34955i
$623$	6.41046	−	21.8320i	0.256830	−	0.874682i
$624$	0.696571	−	0.239081i	0.0278852	−	0.00957091i
$625$	0.809882	+	0.520479i	0.0323953	+	0.0208192i
$626$	−10.9717	−	3.15226i	−0.438516	−	0.125990i
$627$	45.2001	−	30.4557i	1.80512	−	1.21628i
$628$	5.60077	+	35.9736i	0.223495	+	1.43550i
$629$	1.07482	+	1.24041i	0.0428558	+	0.0494583i
$630$	−1.09353	−	22.1741i	−0.0435672	−	0.883437i
$631$	34.8102	+	15.8973i	1.38577	+	0.632861i	0.962036	−	0.272924i	$-0.0879908\pi$
$631$	34.8102	+	15.8973i	1.38577	+	0.632861i	0.423737	+	0.905785i	$0.360718\pi$
$632$	1.39375	−	11.0630i	0.0554403	−	0.440063i
$633$	−35.8318	+	11.3723i	−1.42419	+	0.452008i
$634$	−10.6107	+	16.7240i	−0.421405	+	0.664194i
$635$	−0.583501	+	0.0838947i	−0.0231555	+	0.00332926i
$636$	−12.7291	−	25.5778i	−0.504742	−	1.01423i
$637$	0.774440	−	0.353675i	0.0306844	−	0.0140131i
$638$	6.62181	+	14.2790i	0.262160	+	0.565311i
$639$	34.3951	+	3.42844i	1.36065	+	0.135627i
$640$	15.2687	−	0.623005i	0.603547	−	0.0246264i
$641$	−11.0994	+	12.8094i	−0.438400	+	0.505941i	−0.931354	−	0.364115i	$-0.881372\pi$
$641$	−11.0994	+	12.8094i	−0.438400	+	0.505941i	0.492954	+	0.870055i	$0.335917\pi$
$642$	−30.3404	−	12.8581i	−1.19744	−	0.507467i
$643$	45.8389			1.80771			0.903855	−	0.427840i	$-0.140725\pi$
$643$	45.8389			1.80771			0.903855	+	0.427840i	$0.140725\pi$
$644$	−14.2263	+	34.3288i	−0.560597	+	1.35274i
$645$	−6.81025	+	0.147976i	−0.268153	+	0.00582653i
$646$	51.7681	+	23.2782i	2.03679	+	0.915867i
$647$	−25.3058	−	21.9276i	−0.994872	−	0.862061i	−0.00442962	−	0.999990i	$-0.501410\pi$
$647$	−25.3058	−	21.9276i	−0.994872	−	0.862061i	−0.990442	+	0.137929i	$0.955955\pi$
$648$	15.9187	+	19.8644i	0.625347	+	0.780347i
$649$	5.16336	+	0.742379i	0.202680	+	0.0291409i
$650$	0.200841	+	0.433085i	0.00787762	+	0.0169870i
$651$	−13.6555	−	28.2601i	−0.535201	−	1.10760i
$652$	14.2893	−	6.72800i	0.559611	−	0.263489i
$653$	−5.02630	−	34.9587i	−0.196694	−	1.36804i	−0.813794	−	0.581153i	$-0.802602\pi$
$653$	−5.02630	−	34.9587i	−0.196694	−	1.36804i	0.617100	−	0.786885i	$-0.288307\pi$
$654$	−37.1972	−	22.4820i	−1.45453	−	0.879115i
$655$	−5.48721	−	18.6877i	−0.214403	−	0.730190i
$656$	−4.19604	+	15.6288i	−0.163828	+	0.610200i
$657$	16.6999	−	41.2178i	0.651526	−	1.60806i
$658$	0.185033	+	31.7609i	0.00721334	+	1.23817i
$659$	−6.82708	+	5.91570i	−0.265945	+	0.230443i	−0.777617	−	0.628738i	$-0.783572\pi$
$659$	−6.82708	+	5.91570i	−0.265945	+	0.230443i	0.511672	+	0.859181i	$0.329026\pi$
$660$	19.7138	−	3.50948i	0.767358	−	0.136606i
$661$	23.9913	−	15.4183i	0.933153	−	0.599701i	0.0167071	−	0.999860i	$-0.494682\pi$
$661$	23.9913	−	15.4183i	0.933153	−	0.599701i	0.916445	+	0.400160i	$0.131045\pi$
$662$	33.2978	+	9.56677i	1.29416	+	0.371823i
$663$	0.857049	+	0.524841i	0.0332850	+	0.0203831i
$664$	−9.41069	−	19.6885i	−0.365206	−	0.764062i
$665$	36.9184	+	10.8402i	1.43164	+	0.420366i
$666$	−1.27014	−	0.119136i	−0.0492167	−	0.00461642i
$667$	−6.99165	−	10.3284i	−0.270718	−	0.399919i
$668$	5.50541	−	19.5913i	0.213011	−	0.758010i
$669$	10.5347	−	38.9923i	0.407296	−	1.50753i
$670$	8.30512	+	9.47255i	0.320855	+	0.365956i
$671$	−12.6397	+	19.6678i	−0.487951	+	0.759267i
$672$	−27.3869	+	26.2840i	−1.05647	+	1.01393i
$673$	23.8094	−	15.3014i	0.917787	−	0.589826i	0.00577194	−	0.999983i	$-0.498163\pi$
$673$	23.8094	−	15.3014i	0.917787	−	0.589826i	0.912015	+	0.410158i	$0.134526\pi$
$674$	25.0039	−	7.50030i	0.963114	−	0.288901i
$675$	−11.7404	+	11.5951i	−0.451888	+	0.446297i
$676$	3.39713	−	25.7543i	0.130659	−	0.990551i
$677$	12.8180	+	5.85381i	0.492638	+	0.224980i	0.646213	−	0.763157i	$-0.276352\pi$
$677$	12.8180	+	5.85381i	0.492638	+	0.224980i	−0.153576	+	0.988137i	$0.549079\pi$
$678$	7.74697	+	45.0360i	0.297521	+	1.72960i
$679$	−0.973841	+	0.285946i	−0.0373726	+	0.0109736i
$680$	13.9293	+	15.5187i	0.534163	+	0.595116i
$681$	−3.62772	−	21.8504i	−0.139014	−	0.837309i
$682$	23.7248	−	15.4430i	0.908470	−	0.591345i
$683$	−4.39199	−	9.61711i	−0.168055	−	0.367988i	0.806802	−	0.590822i	$-0.201197\pi$
$683$	−4.39199	−	9.61711i	−0.168055	−	0.367988i	−0.974856	+	0.222834i	$0.928469\pi$
$684$	−41.5821	+	14.7419i	−1.58993	+	0.563671i
$685$	−16.5993	−	2.38661i	−0.634225	−	0.0911878i
$686$	−3.59686	+	4.20019i	−0.137329	+	0.160364i
$687$	15.4061	+	12.7742i	0.587780	+	0.487367i
$688$	7.83008	+	8.62198i	0.298519	+	0.328710i
$689$	0.876699			0.0333996
$690$	−14.9744	+	5.24697i	−0.570066	+	0.199749i
$691$		−	12.0352i		−	0.457841i	−0.973445	−	0.228921i	$-0.926480\pi$
$691$		−	12.0352i		−	0.457841i	0.973445	−	0.228921i	$-0.0735197\pi$
$692$	−15.5038	−	9.71034i	−0.589367	−	0.369132i
$693$	−30.9087	+	38.9697i	−1.17412	+	1.48034i
$694$	−13.4576	−	11.5245i	−0.510842	−	0.437463i
$695$	2.04531	−	14.2254i	0.0775830	−	0.539602i
$696$	−2.30603	−	12.5302i	−0.0874100	−	0.474955i
$697$	−20.0870	+	9.17342i	−0.760849	+	0.347468i
$698$	18.6209	−	12.1208i	0.704811	−	0.458778i
$699$	3.58148	+	21.5719i	0.135464	+	0.815925i
$700$	−18.7824	−	15.8957i	−0.709907	−	0.600800i
$701$	−6.50040	−	22.1383i	−0.245517	−	0.836154i	−0.986378	−	0.164495i	$-0.947400\pi$
$701$	−6.50040	−	22.1383i	−0.245517	−	0.836154i	0.740861	−	0.671658i	$-0.234418\pi$
$702$	−0.763347	+	0.165737i	−0.0288107	+	0.00625534i
$703$	0.918464	−	2.01116i	0.0346405	−	0.0758522i
$704$	−26.6418	−	21.5021i	−1.00410	−	0.810390i
$705$	−10.0541	+	9.10176i	−0.378660	+	0.342792i
$706$	41.0730	−	12.3205i	1.54580	−	0.463688i
$707$	3.96996	+	6.17738i	0.149306	+	0.232324i
$708$	−3.89731	−	1.62494i	−0.146470	−	0.0610690i
$709$	0.155145	+	0.0997059i	0.00582661	+	0.00374453i	0.543551	−	0.839376i	$-0.317079\pi$
$709$	0.155145	+	0.0997059i	0.00582661	+	0.00374453i	−0.537724	+	0.843121i	$0.680716\pi$
$710$	−16.5488	+	14.5093i	−0.621066	+	0.544524i
$711$	−2.83596	+	11.4818i	−0.106357	+	0.430601i
$712$	−15.2289	−	6.63567i	−0.570728	−	0.248682i
$713$	−16.5973	+	15.0903i	−0.621573	+	0.565135i
$714$	−51.4559	−	5.95664i	−1.92569	−	0.222922i
$715$	−0.173109	+	0.589554i	−0.00647390	+	0.0220481i
$716$	32.4681	−	21.4046i	1.21339	−	0.799928i
$717$	−10.2352	−	6.26783i	−0.382240	−	0.234077i
$718$	−8.24509	+	28.6976i	−0.307704	+	1.07099i
$719$	25.4414	+	39.5876i	0.948804	+	1.47637i	0.877877	+	0.478886i	$0.158959\pi$
$719$	25.4414	+	39.5876i	0.948804	+	1.47637i	0.0709270	+	0.997482i	$0.477404\pi$
$720$	−16.1615	−	1.23140i	−0.602303	−	0.0458917i
$721$	22.3789	+	25.8266i	0.833432	+	0.961832i
$722$	−0.288906	−	49.5907i	−0.0107520	−	1.84557i
$723$	8.56284	−	19.8820i	0.318455	−	0.739420i
$724$	−16.6644	+	0.194174i	−0.619327	+	0.00721641i
$725$	7.92420	−	2.32676i	0.294298	−	0.0864136i
$726$	−15.3336	−	9.26760i	−0.569082	−	0.343953i
$727$	15.8700	−	2.28176i	0.588586	−	0.0846259i	0.158414	−	0.987373i	$-0.449362\pi$
$727$	15.8700	−	2.28176i	0.588586	−	0.0846259i	0.430172	+	0.902747i	$0.358453\pi$
$728$	−0.347645	−	1.11172i	−0.0128846	−	0.0412029i
$729$	−14.3134	−	22.8938i	−0.530126	−	0.847919i
$730$	11.9130	+	25.6888i	0.440921	+	0.950784i
$731$	−2.26187	+	15.7317i	−0.0836584	+	0.581857i
$732$	13.8806	−	12.8632i	0.513042	−	0.475438i
$733$	−10.2141	+	11.7877i	−0.377268	+	0.435390i	−0.912351	−	0.409409i	$-0.865735\pi$
$733$	−10.2141	+	11.7877i	−0.377268	+	0.435390i	0.535083	+	0.844799i	$0.320280\pi$
$734$	6.26464	−	13.9319i	0.231232	−	0.514234i
$735$	−18.7331	+	0.407039i	−0.690980	+	0.0150139i
$736$	23.5677	+	13.4375i	0.868716	+	0.495311i
$737$		−	28.2240i		−	1.03965i
$738$	6.35245	−	15.9450i	0.233837	−	0.586945i
$739$	6.37999	+	5.52829i	0.234692	+	0.203361i	0.764264	−	0.644903i	$-0.223102\pi$
$739$	6.37999	+	5.52829i	0.234692	+	0.203361i	−0.529573	+	0.848265i	$0.677648\pi$
$740$	0.607637	−	0.539043i	0.0223372	−	0.0198156i
$741$	0.163510	−	1.34388i	0.00600669	−	0.0493688i
$742$	−40.9939	+	19.0107i	−1.50493	+	0.697904i
$743$	3.67162	+	8.03972i	0.134699	+	0.294949i	0.964947	−	0.262445i	$-0.0845287\pi$
$743$	3.67162	+	8.03972i	0.134699	+	0.294949i	−0.830248	+	0.557394i	$0.811801\pi$
$744$	−21.7162	+	7.31242i	−0.796154	+	0.268086i
$745$	−3.62355	−	25.2023i	−0.132756	−	0.923341i
$746$	−5.71003	+	8.99983i	−0.209059	+	0.329507i
$747$	7.47938	+	21.9039i	0.273656	+	0.801423i
$748$	−0.544339	−	46.7162i	−0.0199030	−	1.70811i
$749$	−21.6509	+	47.4088i	−0.791105	+	1.73228i
$750$	−0.745129	−	27.0389i	−0.0272082	−	0.987321i
$751$	22.3215	−	19.3417i	0.814522	−	0.705787i	−0.144381	−	0.989522i	$-0.546119\pi$
$751$	22.3215	−	19.3417i	0.814522	−	0.705787i	0.958903	+	0.283735i	$0.0915736\pi$
$752$	23.0227	+	2.76431i	0.839553	+	0.100804i
$753$	10.5946	−	7.13862i	0.386089	−	0.260146i
$754$	0.375755	+	0.107958i	0.0136842	+	0.00393159i
$755$	13.7618	−	21.4138i	0.500845	−	0.779330i
$756$	32.0997	−	24.3025i	1.16746	−	0.883872i
$757$	27.1493	+	7.97174i	0.986757	+	0.289738i	0.735011	−	0.678055i	$-0.237177\pi$
$757$	27.1493	+	7.97174i	0.986757	+	0.289738i	0.251746	+	0.967793i	$0.418995\pi$
$758$	−41.4610	−	5.71486i	−1.50593	−	0.207573i
$759$	32.9756	+	13.2780i	1.19694	+	0.481959i
$760$	11.2211	−	25.7525i	0.407030	−	0.934140i
$761$	2.31941	−	7.89919i	0.0840785	−	0.286345i	−0.906712	−	0.421751i	$-0.861416\pi$
$761$	2.31941	−	7.89919i	0.0840785	−	0.286345i	0.990790	+	0.135406i	$0.0432338\pi$
$762$	−0.722078	−	0.788351i	−0.0261581	−	0.0285590i
$763$	−37.1653	+	57.8304i	−1.34547	+	2.09360i
$764$	−19.1579	+	43.2774i	−0.693109	+	1.56572i
$765$	−12.7549	−	18.0700i	−0.461155	−	0.653322i
$766$	8.64789	+	28.8296i	0.312461	+	1.04166i
$767$	0.0979229	−	0.0848507i	0.00353579	−	0.00306378i
$768$	16.5395	+	22.2361i	0.596818	+	0.802377i
$769$	−2.35224	−	1.07423i	−0.0848238	−	0.0387378i	0.372551	−	0.928012i	$-0.378483\pi$
$769$	−2.35224	−	1.07423i	−0.0848238	−	0.0387378i	−0.457375	+	0.889274i	$0.651210\pi$
$770$	−4.68967	−	31.3209i	−0.169004	−	1.12873i
$771$	−32.1511	+	10.2041i	−1.15789	+	0.367492i
$772$	16.4735	−	19.4652i	0.592895	−	0.700566i
$773$	−38.6325	+	5.55452i	−1.38952	+	0.199782i	−0.796125	−	0.605132i	$-0.793120\pi$
$773$	−38.6325	+	5.55452i	−1.38952	+	0.199782i	−0.593391	+	0.804914i	$0.702211\pi$
$774$	−7.18248	−	10.0507i	−0.258169	−	0.361265i
$775$	−6.17038	−	13.5112i	−0.221646	−	0.485338i
$776$	0.118255	+	0.731491i	0.00424512	+	0.0262590i
$777$	−0.243696	+	2.00293i	−0.00874255	+	0.0718547i
$778$	17.3121	−	20.2160i	0.620669	−	0.724779i
$779$	22.4813	+	19.4801i	0.805474	+	0.697948i
$780$	0.254784	−	0.427151i	0.00912273	−	0.0152944i
$781$	49.3082			1.76439
$782$	6.35460	+	36.4717i	0.227240	+	1.30422i
$783$	0.880114	+	13.4848i	0.0314527	+	0.481906i
$784$	21.5383	+	23.7166i	0.769227	+	0.847023i
$785$	18.5819	+	16.1013i	0.663216	+	0.574680i
$786$	22.3862	−	27.3209i	0.798490	−	0.974503i
$787$	7.21729	−	50.1974i	0.257269	−	1.78934i	−0.294815	−	0.955554i	$-0.595258\pi$
$787$	7.21729	−	50.1974i	0.257269	−	1.78934i	0.552084	−	0.833789i	$-0.313833\pi$
$788$	3.94385	−	1.20811i	0.140494	−	0.0430370i
$789$	38.0473	−	18.3847i	1.35452	−	0.654514i
$790$	−4.10810	−	6.31118i	−0.146160	−	0.224542i
$791$	71.5406	−	10.2860i	2.54369	−	0.365728i
$792$	25.4069	+	25.9447i	0.902795	+	0.921906i
$793$	0.163605	+	0.557188i	0.00580979	+	0.0197863i
$794$	1.19225	+	7.96271i	0.0423115	+	0.282586i
$795$	−17.7211	−	7.63219i	−0.628504	−	0.270686i
$796$	−18.7981	−	2.47957i	−0.666282	−	0.0878861i
$797$	−10.2169	+	8.85296i	−0.361900	+	0.313588i	−0.816763	−	0.576973i	$-0.804234\pi$
$797$	−10.2169	+	8.85296i	−0.361900	+	0.313588i	0.454863	+	0.890561i	$0.349688\pi$
$798$	21.4957	+	66.3848i	0.760938	+	2.35000i
$799$	17.1074	+	26.6197i	0.605217	+	0.941736i
$800$	−13.2279	+	12.1544i	−0.467678	+	0.429722i
$801$	15.2222	+	8.87299i	0.537851	+	0.313512i
$802$	−13.5986	+	11.9227i	−0.480183	+	0.421003i
$803$	17.8733	−	60.8707i	0.630733	−	2.14808i
$804$	−5.70142	+	22.1233i	−0.201073	+	0.780228i
$805$	7.64317	+	23.9036i	0.269386	+	0.842491i
$806$	0.0960113	−	0.696557i	0.00338185	−	0.0245352i
$807$	2.28734	−	8.46617i	0.0805182	−	0.298023i
$808$	4.83683	−	2.31190i	0.170159	−	0.0813325i
$809$	23.5046	−	36.5738i	0.826377	−	1.28587i	−0.129346	−	0.991600i	$-0.541288\pi$
$809$	23.5046	−	36.5738i	0.826377	−	1.28587i	0.955723	−	0.294268i	$-0.0950758\pi$
$810$	16.8728	+	3.29528i	0.592848	+	0.115784i
$811$	2.93145	+	4.56142i	0.102937	+	0.160173i	0.888901	−	0.458099i	$-0.151469\pi$
$811$	2.93145	+	4.56142i	0.102937	+	0.160173i	−0.785964	+	0.618272i	$0.787833\pi$
$812$	−19.9110	+	3.09997i	−0.698741	+	0.108788i
$813$	−15.7758	+	14.2815i	−0.553281	+	0.500873i
$814$	−1.81979	+	0.0106017i	−0.0637835	+	0.000371591i
$815$	4.43099	−	9.70251i	0.155211	−	0.339864i
$816$	−9.01027	+	36.7283i	−0.315423	+	1.28575i
$817$	20.5425	−	6.03183i	0.718692	−	0.211027i
$818$	0.102674	−	0.161828i	0.00358990	−	0.00565819i
$819$	0.228776	+	1.21409i	0.00799408	+	0.0424239i
$820$	4.65543	+	9.88746i	0.162575	+	0.345285i
$821$	15.2872	+	33.4743i	0.533527	+	1.16826i	0.964059	+	0.265687i	$0.0855986\pi$
$821$	15.2872	+	33.4743i	0.533527	+	1.16826i	−0.430532	+	0.902575i	$0.641674\pi$
$822$	−13.3910	−	27.3056i	−0.467066	−	0.952390i
$823$	−4.49001	+	31.2287i	−0.156512	+	1.08857i	0.748486	+	0.663150i	$0.230781\pi$
$823$	−4.49001	+	31.2287i	−0.156512	+	1.08857i	−0.904998	+	0.425415i	$0.860128\pi$
$824$	20.7495	−	13.8532i	0.722844	−	0.482600i
$825$	−15.0246	+	18.1202i	−0.523091	+	0.630864i
$826$	−2.73888	+	6.09096i	−0.0952978	+	0.211932i
$827$		−	7.48823i		−	0.260391i	−0.991488	−	0.130196i	$-0.958439\pi$
$827$		−	7.48823i		−	0.260391i	0.991488	−	0.130196i	$-0.0415605\pi$
$828$	−23.1656	−	17.0691i	−0.805060	−	0.593194i
$829$			27.6488i			0.960282i	0.877191	+	0.480141i	$0.159414\pi$
$829$			27.6488i			0.960282i	−0.877191	+	0.480141i	$0.840586\pi$
$830$	−13.4411	−	6.04394i	−0.466546	−	0.209788i
$831$	14.8753	−	17.9400i	0.516017	−	0.622333i
$832$	−0.836990	+	0.150365i	−0.0290174	+	0.00521299i
$833$	−6.22178	+	43.2734i	−0.215572	+	1.49934i
$834$	23.4006	−	11.4760i	0.810298	−	0.397382i
$835$	−5.70922	−	12.5014i	−0.197576	−	0.432630i
$836$	−56.9390	+	26.8093i	−1.96928	+	0.927219i
$837$	23.7805	−	5.01830i	0.821975	−	0.173458i
$838$	37.9143	+	24.0551i	1.30973	+	0.830970i
$839$	0.921983	−	0.270719i	0.0318304	−	0.00934625i	−0.265779	−	0.964034i	$-0.585629\pi$
$839$	0.921983	−	0.270719i	0.0318304	−	0.00934625i	0.297609	+	0.954688i	$0.403811\pi$
$840$	−2.65103	+	25.4981i	−0.0914693	+	0.879769i
$841$	−9.23739	+	20.2271i	−0.318531	+	0.697485i
$842$	0.0932276	+	16.0025i	0.00321284	+	0.551483i
$843$	−12.3153	+	11.1488i	−0.424161	+	0.383983i
$844$	42.8922	−	6.67793i	1.47641	−	0.229864i
$845$	−9.48488	−	14.7588i	−0.326290	−	0.507717i
$846$	−23.9111	−	5.75836i	−0.822080	−	0.197976i
$847$	−15.3204	+	23.8390i	−0.526416	+	0.819119i
$848$	10.0294	+	31.4285i	0.344411	+	1.07926i
$849$	−1.72227	+	6.37464i	−0.0591080	+	0.218777i
$850$	−24.2844	−	3.34729i	−0.832949	−	0.114811i
$851$	1.42206	−	0.239244i	0.0487477	−	0.00820119i
$852$	−38.6500	−	9.96054i	−1.32413	−	0.341243i
$853$	10.6044	−	36.1152i	0.363087	−	1.23656i	−0.552185	−	0.833722i	$-0.686206\pi$
$853$	10.6044	−	36.1152i	0.363087	−	1.23656i	0.915271	−	0.402838i	$-0.131976\pi$
$854$	−19.7323	−	22.5061i	−0.675227	−	0.770142i
$855$	−15.0044	+	25.7411i	−0.513141	+	0.880328i
$856$	32.3646	+	20.0090i	1.10620	+	0.683893i
$857$	−0.889426	−	1.38397i	−0.0303822	−	0.0472756i	0.825730	−	0.564065i	$-0.190763\pi$
$857$	−0.889426	−	1.38397i	−0.0303822	−	0.0472756i	−0.856112	+	0.516790i	$0.827127\pi$
$858$	−1.06011	+	0.343267i	−0.0361914	+	0.0117189i
$859$	21.6024	−	18.7186i	0.737065	−	0.638670i	−0.203191	−	0.979139i	$-0.565131\pi$
$859$	21.6024	−	18.7186i	0.737065	−	0.638670i	0.940256	+	0.340469i	$0.110586\pi$
$860$	7.79811	+	1.02861i	0.265913	+	0.0350754i
$861$	−24.9328	−	10.7381i	−0.849707	−	0.365954i
$862$	−57.3048	+	8.58023i	−1.95181	+	0.292244i
$863$	−5.62007	−	19.1402i	−0.191310	−	0.651541i	−0.998152	−	0.0607733i	$-0.980643\pi$
$863$	−5.62007	−	19.1402i	−0.191310	−	0.651541i	0.806842	−	0.590767i	$-0.201175\pi$
$864$	−14.6741	−	25.4690i	−0.499224	−	0.866473i
$865$	−12.2289	+	1.75824i	−0.415793	+	0.0597821i
$866$	3.79636	−	2.47114i	0.129006	−	0.0839729i
$867$	−19.9539	+	9.64187i	−0.677669	+	0.327455i
$868$	10.6150	+	34.6525i	0.360296	+	1.17618i
$869$	−2.40102	+	16.6994i	−0.0814489	+	0.566490i
$870$	−6.65548	−	5.45337i	−0.225642	−	0.184887i
$871$	−0.529819	−	0.459091i	−0.0179522	−	0.0155557i
$872$	38.4976	+	32.1978i	1.30369	+	1.09036i
$873$	−0.0341381	−	0.785195i	−0.00115540	−	0.0265748i
$874$	41.1344	−	28.1960i	1.39139	−	0.953746i
$875$	−42.7817			−1.44629
$876$	−26.3061	+	44.1027i	−0.888801	+	1.49009i
$877$	−32.7812	−	28.4051i	−1.10694	−	0.959172i	−0.107558	−	0.994199i	$-0.534303\pi$
$877$	−32.7812	−	28.4051i	−1.10694	−	0.959172i	−0.999386	+	0.0350265i	$0.988848\pi$
$878$	36.2988	+	31.0847i	1.22503	+	1.04906i
$879$	−0.585100	+	4.80892i	−0.0197349	+	0.162201i
$880$	−23.1151	+	0.538749i	−0.779211	+	0.0181612i
$881$	−2.55617	−	5.59724i	−0.0861196	−	0.188576i	0.861672	−	0.507465i	$-0.169417\pi$
$881$	−2.55617	−	5.59724i	−0.0861196	−	0.188576i	−0.947792	+	0.318889i	$0.896690\pi$
$882$	−19.7570	−	27.6467i	−0.665253	−	0.930912i
$883$	−14.2547	+	2.04952i	−0.479709	+	0.0689717i	−0.377928	−	0.925835i	$-0.623363\pi$
$883$	−14.2547	+	2.04952i	−0.479709	+	0.0689717i	−0.101781	+	0.994807i	$0.532454\pi$
$884$	−0.885808	−	0.749667i	−0.0297930	−	0.0252140i
$885$	−2.71804	+	0.862651i	−0.0913660	+	0.0289977i
$886$	19.0643	−	2.85449i	0.640478	−	0.0958985i
$887$	−19.7401	−	9.01499i	−0.662807	−	0.302694i	0.0554604	−	0.998461i	$-0.482337\pi$
$887$	−19.7401	−	9.01499i	−0.662807	−	0.302694i	−0.718268	+	0.695767i	$0.755065\pi$
$888$	1.42857	+	0.359297i	0.0479398	+	0.0120572i
$889$	−1.27787	+	1.10728i	−0.0428583	+	0.0371369i
$890$	−10.7457	+	3.22334i	−0.360197	+	0.108047i
$891$	−23.5568	−	30.4721i	−0.789183	−	1.02085i
$892$	−18.8788	+	42.6470i	−0.632111	+	1.42793i
$893$	23.0451	−	35.8588i	0.771174	−	1.19997i
$894$	34.0501	−	31.1877i	1.13881	−	1.04307i
$895$	7.39926	−	25.1996i	0.247330	−	0.842329i
$896$	35.8765	−	25.1806i	1.19855	−	0.841225i
$897$	0.785634	−	0.403037i	0.0262315	−	0.0134570i
$898$	0.490729	−	3.56021i	0.0163758	−	0.118806i
$899$	−11.6715	−	3.42706i	−0.389267	−	0.114299i
$900$	15.4374	−	11.1684i	0.514579	−	0.372279i
$901$	−24.3389	+	37.8721i	−0.810848	+	1.26170i
$902$	6.76109	−	23.5324i	0.225120	−	0.783545i
$903$	−16.2034	+	10.9178i	−0.539215	+	0.363322i
$904$	−0.922172	−	52.7588i	−0.0306710	−	1.75473i
$905$	−8.50597	+	7.37046i	−0.282748	+	0.245003i
$906$	46.1447	−	1.27164i	1.53305	−	0.0422474i
$907$	−10.6511	+	23.3226i	−0.353664	+	0.774415i	0.646272	+	0.763107i	$0.276327\pi$
$907$	−10.6511	+	23.3226i	−0.353664	+	0.774415i	−0.999936	+	0.0113086i	$0.996400\pi$
$908$	0.297992	+	25.5743i	0.00988923	+	0.848713i
$909$	−5.38109	+	1.83744i	−0.178479	+	0.0609441i
$910$	−0.664236	−	0.421431i	−0.0220192	−	0.0139703i
$911$	3.07529	+	21.3891i	0.101889	+	0.708652i	0.975174	+	0.221442i	$0.0710763\pi$
$911$	3.07529	+	21.3891i	0.101889	+	0.708652i	−0.873285	+	0.487210i	$0.838015\pi$
$912$	50.0471	−	9.51235i	1.65722	−	0.314985i
$913$	13.7160	+	30.0339i	0.453934	+	0.993977i
$914$	−2.70828	−	5.84004i	−0.0895821	−	0.193171i
$915$	1.54362	−	12.6870i	0.0510306	−	0.419419i
$916$	−15.3358	−	17.2873i	−0.506710	−	0.571189i
$917$	−42.2197	−	36.5836i	−1.39422	−	1.20810i
$918$	14.0325	−	37.5767i	0.463141	−	1.24022i
$919$		−	32.4580i		−	1.07069i	−0.844633	−	0.535345i	$-0.820181\pi$
$919$		−	32.4580i		−	1.07069i	0.844633	−	0.535345i	$-0.179819\pi$
$920$	18.0119	−	3.35498i	0.593835	−	0.110610i
$921$	−1.12536	+	0.0244523i	−0.0370820	+	0.000805731i
$922$	−47.0186	−	21.1425i	−1.54848	−	0.696292i
$923$	0.802046	−	0.925610i	0.0263997	−	0.0304668i
$924$	42.1263	−	39.0387i	1.38585	−	1.28428i
$925$	−0.135892	+	0.945152i	−0.00446811	+	0.0310764i
$926$	−27.5083	+	12.7568i	−0.903978	+	0.419215i
$927$	−23.5709	+	12.0281i	−0.774170	+	0.395054i
$928$	0.428470	+	14.7054i	0.0140652	+	0.482727i
$929$	−34.6548	+	4.98261i	−1.13699	+	0.163474i	−0.684995	−	0.728547i	$-0.740196\pi$
$929$	−34.6548	+	4.98261i	−1.13699	+	0.163474i	−0.451993	+	0.892022i	$0.649287\pi$
$930$	−8.00467	+	13.2440i	−0.262483	+	0.434288i
$931$	56.5067	−	16.5919i	1.85193	−	0.543777i
$932$	−0.294194	−	25.2484i	−0.00963666	−	0.827037i
$933$	16.4599	−	38.2181i	0.538873	−	1.25121i
$934$	−29.3419	+	0.170941i	−0.960098	+	0.00559335i
$935$	−20.6621	−	23.8453i	−0.675721	−	0.779824i
$936$	0.900301	−	0.0549207i	0.0294272	−	0.00179514i
$937$	−18.2028	−	28.3242i	−0.594661	−	0.925311i	−0.999938	−	0.0111168i	$-0.996461\pi$
$937$	−18.2028	−	28.3242i	−0.594661	−	0.925311i	0.405277	−	0.914194i	$-0.367175\pi$
$938$	34.7291	+	9.97800i	1.13395	+	0.325793i
$939$	−11.9231	−	7.30146i	−0.389095	−	0.238274i
$940$	13.0745	−	8.61937i	0.426443	−	0.281133i
$941$	−4.91841	+	16.7506i	−0.160335	+	0.546053i	0.839660	+	0.543112i	$0.182754\pi$
$941$	−4.91841	+	16.7506i	−0.160335	+	0.546053i	−0.999996	+	0.00294042i	$0.999064\pi$
$942$	−5.12750	+	44.2935i	−0.167063	+	1.44316i
$943$	−2.30188	+	19.2648i	−0.0749596	+	0.627348i
$944$	4.16202	+	2.53972i	0.135462	+	0.0826610i
$945$	5.94506	−	26.5327i	0.193393	−	0.863110i
$946$	−11.6175	−	13.2505i	−0.377716	−	0.430811i
$947$	−4.62552	−	2.97264i	−0.150309	−	0.0965979i	0.463324	−	0.886189i	$-0.346656\pi$
$947$	−4.62552	−	2.97264i	−0.150309	−	0.0965979i	−0.613634	+	0.789591i	$0.710293\pi$
$948$	5.25541	−	12.6048i	0.170688	−	0.409384i
$949$	−0.851935	−	1.32564i	−0.0276550	−	0.0430320i
$950$	9.48791	+	31.6300i	0.307828	+	1.02621i
$951$	−17.9831	+	16.2797i	−0.583141	+	0.527904i
$952$	57.6759	+	15.8457i	1.86929	+	0.513563i
$953$	19.5541	−	42.8175i	0.633419	−	1.38699i	−0.271926	−	0.962318i	$-0.587661\pi$
$953$	19.5541	−	42.8175i	0.633419	−	1.38699i	0.905345	−	0.424676i	$-0.139612\pi$
$954$	−6.67969	−	34.3477i	−0.216263	−	1.11205i
$955$	9.00501	+	30.6682i	0.291395	+	0.992401i
$956$	10.5786	+	8.95278i	0.342137	+	0.289554i
$957$	3.15727	+	19.0168i	0.102060	+	0.614726i
$958$	9.07051	+	13.9348i	0.293055	+	0.450214i
$959$	−43.7543	+	19.9819i	−1.41290	+	0.645250i
$960$	18.2275	+	4.24709i	0.588291	+	0.137074i
$961$	1.29824	−	9.02949i	0.0418789	−	0.291274i
$962$	−0.0294016	+	0.0343333i	−0.000947944	+	0.00110695i
$963$	−31.6201	−	25.0794i	−1.01894	−	0.808171i
$964$	−13.2682	+	21.1844i	−0.427339	+	0.682303i
$965$		−	17.2216i		−	0.554383i
$966$	−27.9961	+	35.8818i	−0.900760	+	1.15448i
$967$	10.2951			0.331068			0.165534	−	0.986204i	$-0.447065\pi$
$967$	10.2951			0.331068			0.165534	+	0.986204i	$0.447065\pi$
$968$	15.8696	+	13.2727i	0.510069	+	0.426600i
$969$	53.5145	+	44.3724i	1.71913	+	1.42545i
$970$	0.380098	+	0.325499i	0.0122042	+	0.0104512i
$971$	−24.8796	−	3.57715i	−0.798425	−	0.114796i	−0.268986	−	0.963144i	$-0.586689\pi$
$971$	−24.8796	−	3.57715i	−0.798425	−	0.114796i	−0.529439	+	0.848348i	$0.677598\pi$
$972$	12.3094	+	28.6440i	0.394823	+	0.918757i
$973$	−17.1243	−	37.4971i	−0.548981	−	1.20210i
$974$	18.5912	+	28.5612i	0.595699	+	0.915160i
$975$	0.0957607	+	0.576784i	0.00306680	+	0.0184719i
$976$	−18.1028	+	12.2392i	−0.579457	+	0.391768i
$977$	−35.6724	+	10.4744i	−1.14126	+	0.335105i	−0.797124	−	0.603815i	$-0.793647\pi$
$977$	−35.6724	+	10.4744i	−1.14126	+	0.335105i	−0.344137	+	0.938920i	$0.611828\pi$
$978$	19.0636	−	3.27927i	0.609586	−	0.104860i
$979$	22.8631	+	10.4412i	0.730707	+	0.333703i
$980$	21.4504	+	2.82942i	0.685208	+	0.0903826i
$981$	−36.5739	−	38.6777i	−1.16771	−	1.23488i
$982$	−14.3117	−	47.7111i	−0.456704	−	1.52252i
$983$	−7.53488	+	4.84237i	−0.240325	+	0.154448i	−0.655260	−	0.755404i	$-0.727441\pi$
$983$	−7.53488	+	4.84237i	−0.240325	+	0.154448i	0.414935	+	0.909851i	$0.363804\pi$
$984$	−10.0533	+	17.0800i	−0.320489	+	0.544491i
$985$	1.50603	−	2.34342i	0.0479860	−	0.0746677i
$986$	−15.0953	+	13.2349i	−0.480733	+	0.421486i
$987$	−10.1459	+	37.5532i	−0.322948	+	1.19533i
$988$	−0.422906	+	1.50493i	−0.0134544	+	0.0478784i
$989$	10.7686	+	8.88995i	0.342423	+	0.282684i
$990$	24.4168	+	2.29024i	0.776016	+	0.0727885i
$991$	10.1676	+	2.98548i	0.322985	+	0.0948370i	0.439206	−	0.898386i	$-0.355260\pi$
$991$	10.1676	+	2.98548i	0.322985	+	0.0948370i	−0.116221	+	0.993223i	$0.537078\pi$
$992$	26.0690	−	4.52670i	0.827692	−	0.143723i
$993$	36.1852	+	22.1592i	1.14830	+	0.703200i
$994$	−17.4319	+	60.6728i	−0.552905	+	1.92443i
$995$	−10.7724	+	6.92303i	−0.341510	+	0.219475i
$996$	−4.68422	−	26.3126i	−0.148425	−	0.833748i
$997$	−18.9391	+	16.4108i	−0.599808	+	0.519736i	−0.900995	−	0.433829i	$-0.857162\pi$
$997$	−18.9391	+	16.4108i	−0.599808	+	0.519736i	0.301188	+	0.953565i	$0.402617\pi$
$998$	51.5917	−	0.300564i	1.63311	−	0.00951417i
$999$	−1.46048	−	0.555112i	−0.0462076	−	0.0175630i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	552.2.bf.a.5.11	yes	920
3.2	odd	2	inner	552.2.bf.a.5.82	yes	920
8.5	even	2	inner	552.2.bf.a.5.87	yes	920
23.14	odd	22	inner	552.2.bf.a.221.6	yes	920
24.5	odd	2	inner	552.2.bf.a.5.6	✓	920
69.14	even	22	inner	552.2.bf.a.221.87	yes	920
184.37	odd	22	inner	552.2.bf.a.221.82	yes	920
552.221	even	22	inner	552.2.bf.a.221.11	yes	920

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
552.2.bf.a.5.6	✓	920	24.5	odd	2	inner
552.2.bf.a.5.11	yes	920	1.1	even	1	trivial
552.2.bf.a.5.82	yes	920	3.2	odd	2	inner
552.2.bf.a.5.87	yes	920	8.5	even	2	inner
552.2.bf.a.221.6	yes	920	23.14	odd	22	inner
552.2.bf.a.221.11	yes	920	552.221	even	22	inner
552.2.bf.a.221.82	yes	920	184.37	odd	22	inner
552.2.bf.a.221.87	yes	920	69.14	even	22	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:	\( N \)	\(=\)	\( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	552.bf (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.28981 - 0.579981i) q^{2} +(-1.33333 - 1.10555i) q^{3} +(1.32724 + 1.49614i) q^{4} +(1.33695 + 0.192224i) q^{5} +(1.07855 + 2.19926i) q^{6} +(3.52408 - 1.60939i) q^{7} +(-0.844167 - 2.69952i) q^{8} +(0.555524 + 2.94812i) q^{9} +O(q^{10})\)	\(q+(-1.28981 - 0.579981i) q^{2} +(-1.33333 - 1.10555i) q^{3} +(1.32724 + 1.49614i) q^{4} +(1.33695 + 0.192224i) q^{5} +(1.07855 + 2.19926i) q^{6} +(3.52408 - 1.60939i) q^{7} +(-0.844167 - 2.69952i) q^{8} +(0.555524 + 2.94812i) q^{9} +(-1.61293 - 1.02334i) q^{10} +(1.20569 + 4.10619i) q^{11} +(-0.115598 - 3.46217i) q^{12} +(0.0966927 + 0.0441581i) q^{13} +(-5.47883 + 0.0319186i) q^{14} +(-1.57007 - 1.73436i) q^{15} +(-0.476850 + 3.97148i) q^{16} +(-4.59195 + 2.95107i) q^{17} +(0.993330 - 4.12472i) q^{18} +(6.18573 + 3.97533i) q^{19} +(1.48686 + 2.25538i) q^{20} +(-6.47802 - 1.75019i) q^{21} +(0.826401 - 5.99549i) q^{22} +(0.114499 + 4.79446i) q^{23} +(-1.85890 + 4.53261i) q^{24} +(-3.04699 - 0.894677i) q^{25} +(-0.0991048 - 0.113036i) q^{26} +(2.51859 - 4.54496i) q^{27} +(7.08519 + 3.13645i) q^{28} +(-2.18782 + 1.40603i) q^{29} +(1.01921 + 3.14761i) q^{30} +(3.06302 + 3.53491i) q^{31} +(2.91843 - 4.84590i) q^{32} +(2.93202 - 6.80784i) q^{33} +(7.63433 - 1.14308i) q^{34} +(5.02087 - 1.47426i) q^{35} +(-3.67347 + 4.74401i) q^{36} +(-0.0427923 - 0.297627i) q^{37} +(-5.67283 - 8.71505i) q^{38} +(-0.0801041 - 0.165776i) q^{39} +(-0.609694 - 3.77138i) q^{40} +(4.00438 + 0.575743i) q^{41} +(7.34036 + 6.01455i) q^{42} +(1.90676 - 2.20052i) q^{43} +(-4.54318 + 7.25378i) q^{44} +(0.176007 + 4.04826i) q^{45} +(2.63302 - 6.25038i) q^{46} -5.79702i q^{47} +(5.02646 - 4.76810i) q^{48} +(5.24497 - 6.05302i) q^{49} +(3.41116 + 2.92116i) q^{50} +(9.38513 + 1.14189i) q^{51} +(0.0622682 + 0.203274i) q^{52} +(7.50219 - 3.42614i) q^{53} +(-5.88451 + 4.40142i) q^{54} +(0.822629 + 5.72151i) q^{55} +(-7.31949 - 8.15471i) q^{56} +(-3.85269 - 12.1390i) q^{57} +(3.63735 - 0.544619i) q^{58} +(0.506362 - 1.10878i) q^{59} +(0.510964 - 4.65096i) q^{60} +(3.57751 + 4.12867i) q^{61} +(-1.90054 - 6.33587i) q^{62} +(6.70239 + 9.49534i) q^{63} +(-6.57477 + 4.55768i) q^{64} +(0.120785 + 0.0776236i) q^{65} +(-7.73017 + 7.08033i) q^{66} +(-6.32796 - 1.85806i) q^{67} +(-10.5098 - 2.95340i) q^{68} +(5.14785 - 6.51917i) q^{69} +(-7.33104 - 1.01049i) q^{70} +(3.24608 - 11.0551i) q^{71} +(7.48953 - 3.98835i) q^{72} +(-12.4709 - 8.01454i) q^{73} +(-0.117424 + 0.408703i) q^{74} +(3.07353 + 4.56149i) q^{75} +(2.26234 + 14.5309i) q^{76} +(10.8574 + 12.5301i) q^{77} +(0.00717267 + 0.260279i) q^{78} +(3.58603 + 1.63768i) q^{79} +(-1.40094 + 5.21799i) q^{80} +(-8.38279 + 3.27550i) q^{81} +(-4.83099 - 3.06507i) q^{82} +(7.63670 - 1.09799i) q^{83} +(-5.97937 - 12.0149i) q^{84} +(-6.70646 + 3.06274i) q^{85} +(-3.73563 + 1.73238i) q^{86} +(4.47151 + 0.544048i) q^{87} +(10.0669 - 6.72107i) q^{88} +(3.84610 - 4.43864i) q^{89} +(2.12090 - 5.32359i) q^{90} +0.411820 q^{91} +(-7.02121 + 6.53473i) q^{92} +(-0.175989 - 8.09951i) q^{93} +(-3.36217 + 7.47709i) q^{94} +(7.50584 + 6.50385i) q^{95} +(-9.24860 + 3.23471i) q^{96} +(-0.259312 - 0.0372835i) q^{97} +(-10.2757 + 4.76529i) q^{98} +(-11.4357 + 5.83559i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 920 q - 22 q^{4} - 2 q^{6} - 44 q^{7} - 18 q^{9}+O(q^{10}) \) 920 * q - 22 * q^4 - 2 * q^6 - 44 * q^7 - 18 * q^9	\( 920 q - 22 q^{4} - 2 q^{6} - 44 q^{7} - 18 q^{9} - 22 q^{10} - 12 q^{12} - 22 q^{15} - 30 q^{16} - 10 q^{18} - 14 q^{24} + 40 q^{25} - 22 q^{28} - 11 q^{30} - 20 q^{31} - 22 q^{33} - 18 q^{36} - 42 q^{39} - 176 q^{40} - 11 q^{42} + 90 q^{46} - 64 q^{48} + 32 q^{49} - 90 q^{52} + 21 q^{54} - 76 q^{55} - 22 q^{57} + 76 q^{58} - 11 q^{60} - 22 q^{63} - 28 q^{64} - 44 q^{66} - 116 q^{70} - 79 q^{72} - 36 q^{73} - 22 q^{76} - 134 q^{78} - 44 q^{79} - 34 q^{81} - 40 q^{82} - 165 q^{84} - 18 q^{87} - 22 q^{88} - 198 q^{90} + 88 q^{94} - 231 q^{96} - 44 q^{97}+O(q^{100}) \) 920 * q - 22 * q^4 - 2 * q^6 - 44 * q^7 - 18 * q^9 - 22 * q^10 - 12 * q^12 - 22 * q^15 - 30 * q^16 - 10 * q^18 - 14 * q^24 + 40 * q^25 - 22 * q^28 - 11 * q^30 - 20 * q^31 - 22 * q^33 - 18 * q^36 - 42 * q^39 - 176 * q^40 - 11 * q^42 + 90 * q^46 - 64 * q^48 + 32 * q^49 - 90 * q^52 + 21 * q^54 - 76 * q^55 - 22 * q^57 + 76 * q^58 - 11 * q^60 - 22 * q^63 - 28 * q^64 - 44 * q^66 - 116 * q^70 - 79 * q^72 - 36 * q^73 - 22 * q^76 - 134 * q^78 - 44 * q^79 - 34 * q^81 - 40 * q^82 - 165 * q^84 - 18 * q^87 - 22 * q^88 - 198 * q^90 + 88 * q^94 - 231 * q^96 - 44 * q^97

Introduction

L-functions

Modular forms

Varieties

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Representations

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Database

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