LMFDB - Embedded newform 572.2.bn.a.95.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [572,2,Mod(95,572)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(572, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 21, 5]))

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

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

chi := DirichletCharacter("572.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 572 = 2^{2} \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	572.bn (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.56744299562$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$80$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			95.16
Character	$\chi$	$=$	572.95
Dual form			572.2.bn.a.283.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.20102 + 0.746694i) q^{2} +(-2.09762 + 1.88870i) q^{3} +(0.884895 - 1.79359i) q^{4} +(2.14578 + 2.95342i) q^{5} +(1.10900 - 3.83465i) q^{6} +(-0.819536 - 0.737914i) q^{7} +(0.276486 + 2.81488i) q^{8} +(0.519214 - 4.93999i) q^{9} +O(q^{10})$	\(q+(-1.20102 + 0.746694i) q^{2} +(-2.09762 + 1.88870i) q^{3} +(0.884895 - 1.79359i) q^{4} +(2.14578 + 2.95342i) q^{5} +(1.10900 - 3.83465i) q^{6} +(-0.819536 - 0.737914i) q^{7} +(0.276486 + 2.81488i) q^{8} +(0.519214 - 4.93999i) q^{9} +(-4.78243 - 1.94487i) q^{10} +(-0.635578 + 3.25516i) q^{11} +(1.53138 + 5.43357i) q^{12} +(2.27178 + 2.79982i) q^{13} +(1.53528 + 0.274306i) q^{14} +(-10.0792 - 2.14239i) q^{15} +(-2.43392 - 3.17428i) q^{16} +(-1.36269 + 3.06066i) q^{17} +(3.06507 + 6.32071i) q^{18} +(0.274375 + 1.29083i) q^{19} +(7.19601 - 1.23519i) q^{20} +3.11277 q^{21} +(-1.66727 - 4.38409i) q^{22} +(5.99840 + 3.46318i) q^{23} +(-5.89644 - 5.38234i) q^{24} +(-2.57320 + 7.91950i) q^{25} +(-4.81907 - 1.66631i) q^{26} +(3.26377 + 4.49219i) q^{27} +(-2.04872 + 0.816935i) q^{28} +(-1.01928 + 4.79535i) q^{29} +(13.7050 - 4.95300i) q^{30} +(-6.13651 - 4.45844i) q^{31} +(5.29340 + 1.99497i) q^{32} +(-4.81482 - 8.02849i) q^{33} +(-0.648755 - 4.69342i) q^{34} +(0.420820 - 4.00384i) q^{35} +(-8.40086 - 5.30263i) q^{36} +(1.51477 - 7.12642i) q^{37} +(-1.29339 - 1.34544i) q^{38} +(-10.0534 - 1.58223i) q^{39} +(-7.72024 + 6.85670i) q^{40} +(-3.23558 - 3.59347i) q^{41} +(-3.73850 + 2.32429i) q^{42} +(2.53569 + 4.39194i) q^{43} +(5.27599 + 4.02044i) q^{44} +(15.7040 - 9.06669i) q^{45} +(-9.79013 + 0.319627i) q^{46} +(1.32348 - 4.07324i) q^{47} +(11.1007 + 2.06146i) q^{48} +(-0.604576 - 5.75216i) q^{49} +(-2.82298 - 11.4329i) q^{50} +(-2.92227 - 8.99381i) q^{51} +(7.03202 - 1.59710i) q^{52} +(-5.22164 - 3.79374i) q^{53} +(-7.27415 - 2.95817i) q^{54} +(-10.9776 + 5.10773i) q^{55} +(1.85055 - 2.51092i) q^{56} +(-3.01354 - 2.18946i) q^{57} +(-2.35648 - 6.52040i) q^{58} +(3.47300 - 3.85715i) q^{59} +(-12.7616 + 16.1821i) q^{60} +(1.35882 - 3.05195i) q^{61} +(10.6992 + 0.772571i) q^{62} +(-4.07080 + 3.66536i) q^{63} +(-7.84711 + 1.55655i) q^{64} +(-3.39428 + 12.7173i) q^{65} +(11.7775 + 6.04717i) q^{66} +(-1.17054 + 2.02743i) q^{67} +(4.28372 + 5.15247i) q^{68} +(-19.1233 + 4.06478i) q^{69} +(2.48423 + 5.12291i) q^{70} +(-11.9066 - 5.30118i) q^{71} +(14.0490 + 0.0956871i) q^{72} +(1.44826 + 4.45730i) q^{73} +(3.50199 + 9.69003i) q^{74} +(-9.56000 - 21.4721i) q^{75} +(2.55802 + 0.650136i) q^{76} +(2.92290 - 2.19872i) q^{77} +(13.2557 - 5.60650i) q^{78} +(8.04864 + 5.84768i) q^{79} +(4.15230 - 13.9997i) q^{80} +(-0.754603 - 0.160396i) q^{81} +(6.56921 + 1.89984i) q^{82} +(5.06189 + 6.96709i) q^{83} +(2.75448 - 5.58304i) q^{84} +(-11.9634 + 2.54291i) q^{85} +(-6.32485 - 3.38142i) q^{86} +(-6.91893 - 11.9839i) q^{87} +(-9.33861 - 0.889071i) q^{88} +(2.66323 + 1.53762i) q^{89} +(-12.0907 + 22.6153i) q^{90} +(0.204217 - 3.97094i) q^{91} +(11.5195 - 7.69412i) q^{92} +(21.2927 - 2.23796i) q^{93} +(1.45194 + 5.88027i) q^{94} +(-3.22362 + 3.58019i) q^{95} +(-14.8714 + 5.81297i) q^{96} +(-14.1576 - 1.48803i) q^{97} +(5.02121 + 6.45702i) q^{98} +(15.7504 + 4.82987i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9}+O(q^{10}) $ 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9	$ 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9} - 4 q^{12} - 20 q^{13} - 12 q^{14} - 19 q^{16} - 10 q^{17} - 45 q^{20} - 15 q^{22} - 15 q^{24} + 104 q^{25} - 20 q^{26} - 15 q^{28} - 10 q^{29} + 45 q^{30} - 24 q^{33} + 4 q^{36} - 18 q^{37} - 14 q^{38} - 20 q^{40} - 30 q^{41} - 13 q^{42} - 108 q^{45} - 15 q^{46} + 35 q^{48} - 74 q^{49} - 90 q^{50} + 15 q^{52} - 8 q^{53} + 50 q^{56} + 27 q^{58} - 10 q^{61} - 5 q^{62} - 84 q^{64} - 146 q^{66} - 70 q^{68} - 26 q^{69} - 15 q^{72} - 55 q^{74} + 44 q^{77} + 24 q^{78} - 39 q^{80} + 30 q^{81} - 29 q^{82} + 30 q^{84} - 30 q^{85} - 75 q^{88} - 24 q^{89} + 30 q^{90} + 14 q^{92} + 66 q^{93} - 5 q^{94} - 30 q^{97}+O(q^{100}) $ 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9 - 4 * q^12 - 20 * q^13 - 12 * q^14 - 19 * q^16 - 10 * q^17 - 45 * q^20 - 15 * q^22 - 15 * q^24 + 104 * q^25 - 20 * q^26 - 15 * q^28 - 10 * q^29 + 45 * q^30 - 24 * q^33 + 4 * q^36 - 18 * q^37 - 14 * q^38 - 20 * q^40 - 30 * q^41 - 13 * q^42 - 108 * q^45 - 15 * q^46 + 35 * q^48 - 74 * q^49 - 90 * q^50 + 15 * q^52 - 8 * q^53 + 50 * q^56 + 27 * q^58 - 10 * q^61 - 5 * q^62 - 84 * q^64 - 146 * q^66 - 70 * q^68 - 26 * q^69 - 15 * q^72 - 55 * q^74 + 44 * q^77 + 24 * q^78 - 39 * q^80 + 30 * q^81 - 29 * q^82 + 30 * q^84 - 30 * q^85 - 75 * q^88 - 24 * q^89 + 30 * q^90 + 14 * q^92 + 66 * q^93 - 5 * q^94 - 30 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/572\mathbb{Z}\right)^\times$.

$n$	$287$	$353$	$365$
$\chi(n)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−1.20102	+	0.746694i	−0.849249	+	0.527993i
$2$	−1.20102	+	0.746694i	−0.849249	+	0.527993i
$3$	−2.09762	+	1.88870i	−1.21106	+	1.09044i	−0.217626	+	0.976032i	$0.569831\pi$
$3$	−2.09762	+	1.88870i	−1.21106	+	1.09044i	−0.993433	+	0.114411i	$0.963502\pi$
$4$	0.884895	−	1.79359i	0.442448	−	0.896794i
$5$	2.14578	+	2.95342i	0.959623	+	1.32081i	0.947118	+	0.320887i	$0.103981\pi$
$5$	2.14578	+	2.95342i	0.959623	+	1.32081i	0.0125059	+	0.999922i	$0.496019\pi$
$6$	1.10900	−	3.83465i	0.452745	−	1.56549i
$7$	−0.819536	−	0.737914i	−0.309756	−	0.278905i	0.499560	−	0.866279i	$-0.333495\pi$
$7$	−0.819536	−	0.737914i	−0.309756	−	0.278905i	−0.809316	+	0.587374i	$0.800162\pi$
$8$	0.276486	+	2.81488i	0.0977526	+	0.995211i
$9$	0.519214	−	4.93999i	0.173071	−	1.64666i
$10$	−4.78243	−	1.94487i	−1.51234	−	0.615021i
$11$	−0.635578	+	3.25516i	−0.191634	+	0.981466i
$11$	−0.635578	+	3.25516i	−0.191634	+	0.981466i
$12$	1.53138	+	5.43357i	0.442073	+	1.56854i
$13$	2.27178	+	2.79982i	0.630080	+	0.776531i
$13$	2.27178	+	2.79982i	0.630080	+	0.776531i
$14$	1.53528	+	0.274306i	0.410320	+	0.0733113i
$15$	−10.0792	−	2.14239i	−2.60243	−	0.553163i
$16$	−2.43392	−	3.17428i	−0.608480	−	0.793569i
$17$	−1.36269	+	3.06066i	−0.330502	+	0.742319i	−1.00000		0.000494986i	$-0.999842\pi$
$17$	−1.36269	+	3.06066i	−0.330502	+	0.742319i	0.669498	+	0.742814i	$0.266509\pi$
$18$	3.06507	+	6.32071i	0.722445	+	1.48981i
$19$	0.274375	+	1.29083i	0.0629460	+	0.296138i	0.998349	−	0.0574470i	$-0.0182960\pi$
$19$	0.274375	+	1.29083i	0.0629460	+	0.296138i	−0.935403	+	0.353585i	$0.884963\pi$
$20$	7.19601	−	1.23519i	1.60908	−	0.276196i
$21$	3.11277			0.679263
$22$	−1.66727	−	4.38409i	−0.355462	−	0.934691i
$23$	5.99840	+	3.46318i	1.25075	+	0.722123i	0.971259	−	0.238025i	$-0.0764999\pi$
$23$	5.99840	+	3.46318i	1.25075	+	0.722123i	0.279494	+	0.960147i	$0.409833\pi$
$24$	−5.89644	−	5.38234i	−1.20361	−	1.09867i
$25$	−2.57320	+	7.91950i	−0.514641	+	1.58390i
$26$	−4.81907	−	1.66631i	−0.945097	−	0.326791i
$27$	3.26377	+	4.49219i	0.628113	+	0.864523i
$28$	−2.04872	+	0.816935i	−0.387171	+	0.154386i
$29$	−1.01928	+	4.79535i	−0.189276	+	0.890475i	0.776302	+	0.630361i	$0.217093\pi$
$29$	−1.01928	+	4.79535i	−0.189276	+	0.890475i	−0.965578	+	0.260113i	$0.916240\pi$
$30$	13.7050	−	4.95300i	2.50218	−	0.904290i
$31$	−6.13651	−	4.45844i	−1.10215	−	0.800759i	−0.120741	−	0.992684i	$-0.538527\pi$
$31$	−6.13651	−	4.45844i	−1.10215	−	0.800759i	−0.981410	+	0.191925i	$0.938527\pi$
$32$	5.29340	+	1.99497i	0.935750	+	0.352665i
$33$	−4.81482	−	8.02849i	−0.838153	−	1.39758i
$34$	−0.648755	−	4.69342i	−0.111261	−	0.804916i
$35$	0.420820	−	4.00384i	0.0711316	−	0.676772i
$36$	−8.40086	−	5.30263i	−1.40014	−	0.883771i
$37$	1.51477	−	7.12642i	0.249026	−	1.17158i	−0.658829	−	0.752292i	$-0.728948\pi$
$37$	1.51477	−	7.12642i	0.249026	−	1.17158i	0.907855	−	0.419283i	$-0.137719\pi$
$38$	−1.29339	−	1.34544i	−0.209815	−	0.218260i
$39$	−10.0534	−	1.58223i	−1.60983	−	0.253359i
$40$	−7.72024	+	6.85670i	−1.22068	+	1.08414i
$41$	−3.23558	−	3.59347i	−0.505312	−	0.561206i	0.435476	−	0.900200i	$-0.356580\pi$
$41$	−3.23558	−	3.59347i	−0.505312	−	0.561206i	−0.940788	+	0.338994i	$0.889913\pi$
$42$	−3.73850	+	2.32429i	−0.576863	+	0.358646i
$43$	2.53569	+	4.39194i	0.386689	+	0.669765i	0.992002	−	0.126223i	$-0.0402854\pi$
$43$	2.53569	+	4.39194i	0.386689	+	0.669765i	−0.605313	+	0.795988i	$0.706952\pi$
$44$	5.27599	+	4.02044i	0.795386	+	0.606104i
$45$	15.7040	−	9.06669i	2.34101	−	1.35158i
$46$	−9.79013	+	0.319627i	−1.44348	+	0.0471265i
$47$	1.32348	−	4.07324i	0.193049	−	0.594143i	−0.806945	−	0.590627i	$-0.798881\pi$
$47$	1.32348	−	4.07324i	0.193049	−	0.594143i	0.999994	−	0.00351647i	$-0.00111933\pi$
$48$	11.1007	+	2.06146i	1.60225	+	0.297547i
$49$	−0.604576	−	5.75216i	−0.0863680	−	0.821737i
$50$	−2.82298	−	11.4329i	−0.399230	−	1.61685i
$51$	−2.92227	−	8.99381i	−0.409199	−	1.25939i
$52$	7.03202	−	1.59710i	0.975165	−	0.221478i
$53$	−5.22164	−	3.79374i	−0.717247	−	0.521111i	0.168256	−	0.985743i	$-0.446186\pi$
$53$	−5.22164	−	3.79374i	−0.717247	−	0.521111i	−0.885504	+	0.464633i	$0.846186\pi$
$54$	−7.27415	−	2.95817i	−0.989886	−	0.402556i
$55$	−10.9776	+	5.10773i	−1.48023	+	0.688727i
$56$	1.85055	−	2.51092i	0.247290	−	0.335536i
$57$	−3.01354	−	2.18946i	−0.399153	−	0.290001i
$58$	−2.35648	−	6.52040i	−0.309421	−	0.856171i
$59$	3.47300	−	3.85715i	0.452146	−	0.502158i	−0.473372	−	0.880862i	$-0.656963\pi$
$59$	3.47300	−	3.85715i	0.452146	−	0.502158i	0.925518	+	0.378704i	$0.123630\pi$
$60$	−12.7616	+	16.1821i	−1.64751	+	2.08910i
$61$	1.35882	−	3.05195i	0.173979	−	0.390762i	−0.805418	−	0.592707i	$-0.798059\pi$
$61$	1.35882	−	3.05195i	0.173979	−	0.390762i	0.979397	+	0.201944i	$0.0647260\pi$
$62$	10.6992	+	0.772571i	1.35880	+	0.0981166i
$63$	−4.07080	+	3.66536i	−0.512873	+	0.461793i
$64$	−7.84711	+	1.55655i	−0.980889	+	0.194569i
$65$	−3.39428	+	12.7173i	−0.421009	+	1.57739i
$66$	11.7775	+	6.04717i	1.44971	+	0.744355i
$67$	−1.17054	+	2.02743i	−0.143004	+	0.247690i	−0.928626	−	0.371016i	$-0.879010\pi$
$67$	−1.17054	+	2.02743i	−0.143004	+	0.247690i	0.785622	+	0.618706i	$0.212343\pi$
$68$	4.28372	+	5.15247i	0.519477	+	0.624829i
$69$	−19.1233	+	4.06478i	−2.30217	+	0.489342i
$70$	2.48423	+	5.12291i	0.296922	+	0.612305i
$71$	−11.9066	−	5.30118i	−1.41306	−	0.629134i	−0.448687	−	0.893689i	$-0.648108\pi$
$71$	−11.9066	−	5.30118i	−1.41306	−	0.629134i	−0.964371	+	0.264555i	$0.914775\pi$
$72$	14.0490	+	0.0956871i	1.65569	+	0.0112768i
$73$	1.44826	+	4.45730i	0.169507	+	0.521687i	0.999340	−	0.0363235i	$-0.0115647\pi$
$73$	1.44826	+	4.45730i	0.169507	+	0.521687i	−0.829834	+	0.558011i	$0.811565\pi$
$74$	3.50199	+	9.69003i	0.407098	+	1.12644i
$75$	−9.56000	−	21.4721i	−1.10389	−	2.47939i
$76$	2.55802	+	0.650136i	0.293425	+	0.0745758i
$77$	2.92290	−	2.19872i	0.333096	−	0.250567i
$78$	13.2557	−	5.60650i	1.50092	−	0.634812i
$79$	8.04864	+	5.84768i	0.905543	+	0.657916i	0.939884	−	0.341495i	$-0.110933\pi$
$79$	8.04864	+	5.84768i	0.905543	+	0.657916i	−0.0343407	+	0.999410i	$0.510933\pi$
$80$	4.15230	−	13.9997i	0.464241	−	1.56521i
$81$	−0.754603	−	0.160396i	−0.0838448	−	0.0178218i
$82$	6.56921	+	1.89984i	0.725448	+	0.209802i
$83$	5.06189	+	6.96709i	0.555615	+	0.764738i	0.990761	−	0.135622i	$-0.0433033\pi$
$83$	5.06189	+	6.96709i	0.555615	+	0.764738i	−0.435146	+	0.900360i	$0.643303\pi$
$84$	2.75448	−	5.58304i	0.300538	−	0.609159i
$85$	−11.9634	+	2.54291i	−1.29762	+	0.275817i
$86$	−6.32485	−	3.38142i	−0.682026	−	0.364628i
$87$	−6.91893	−	11.9839i	−0.741787	−	1.28481i
$88$	−9.33861	−	0.889071i	−0.995499	−	0.0947753i
$89$	2.66323	+	1.53762i	0.282302	+	0.162987i	0.634465	−	0.772952i	$-0.281221\pi$
$89$	2.66323	+	1.53762i	0.282302	+	0.162987i	−0.352163	+	0.935939i	$0.614554\pi$
$90$	−12.0907	+	22.6153i	−1.27447	+	2.38386i
$91$	0.204217	−	3.97094i	0.0214078	−	0.416267i
$92$	11.5195	−	7.69412i	1.20099	−	0.802167i
$93$	21.2927	−	2.23796i	2.20795	−	0.232065i
$94$	1.45194	+	5.88027i	0.149757	+	0.606504i
$95$	−3.22362	+	3.58019i	−0.330737	+	0.367320i
$96$	−14.8714	+	5.81297i	−1.51781	+	0.593284i
$97$	−14.1576	−	1.48803i	−1.43749	−	0.151086i	−0.646499	−	0.762915i	$-0.723767\pi$
$97$	−14.1576	−	1.48803i	−1.43749	−	0.151086i	−0.790990	+	0.611829i	$0.790434\pi$
$98$	5.02121	+	6.45702i	0.507219	+	0.652258i
$99$	15.7504	+	4.82987i	1.58298	+	0.485420i
$100$	11.9273	+	11.6232i	1.19273	+	1.16232i
$101$	−3.38213	−	7.59639i	−0.336534	−	0.755869i	−0.999971	−	0.00763607i	$-0.997569\pi$
$101$	−3.38213	−	7.59639i	−0.336534	−	0.755869i	0.663436	−	0.748233i	$-0.269097\pi$
$102$	10.2253	+	8.61970i	1.01246	+	0.853478i
$103$	5.28468	−	1.71710i	0.520715	−	0.169191i	−0.0368546	−	0.999321i	$-0.511734\pi$
$103$	5.28468	−	1.71710i	0.520715	−	0.169191i	0.557570	+	0.830130i	$0.311734\pi$
$104$	−7.25305	+	7.16891i	−0.711220	+	0.702970i
$105$	6.67934	+	9.19332i	0.651837	+	0.897176i
$106$	9.10405	+	0.657391i	0.884264	+	0.0638514i
$107$	8.48023	+	9.41825i	0.819815	+	0.910497i	0.997286	−	0.0736294i	$-0.0234582\pi$
$107$	8.48023	+	9.41825i	0.819815	+	0.910497i	−0.177471	+	0.984126i	$0.556792\pi$
$108$	10.9452	−	1.87874i	1.05321	−	0.180782i
$109$	8.89443			0.851932			0.425966	−	0.904739i	$-0.359934\pi$
$109$	8.89443			0.851932			0.425966	+	0.904739i	$0.359934\pi$
$110$	9.37045	−	14.3314i	0.893438	−	1.36645i
$111$	10.2823	+	17.8094i	0.975951	+	1.69040i
$112$	−0.347656	+	4.39746i	−0.0328504	+	0.415521i
$113$	13.9605	−	2.96740i	1.31330	−	0.279149i	0.502550	−	0.864548i	$-0.332395\pi$
$113$	13.9605	−	2.96740i	1.31330	−	0.279149i	0.810745	+	0.585399i	$0.199062\pi$
$114$	5.25417	+	0.379396i	0.492098	+	0.0355337i
$115$	2.64306	+	25.1470i	0.246466	+	2.34497i
$116$	7.69893	+	6.07156i	0.714828	+	0.563730i
$117$	15.0106	−	9.76888i	1.38773	−	0.903133i
$118$	−1.29102	+	7.22578i	−0.118848	+	0.665187i
$119$	3.37528	−	1.50277i	0.309411	−	0.137759i
$120$	3.24383	−	28.9640i	0.296120	−	2.64404i
$121$	−10.1921	−	4.13781i	−0.926553	−	0.376165i
$122$	0.646910	+	4.68007i	0.0585685	+	0.423714i
$123$	13.5740	+	1.42668i	1.22393	+	0.128640i
$124$	−13.4268	+	7.06113i	−1.20576	+	0.634108i
$125$	−11.5514	+	3.75327i	−1.03319	+	0.335703i
$126$	2.15220	−	7.44182i	0.191733	−	0.662970i
$127$	−0.217598	−	2.07031i	−0.0193087	−	0.183710i	0.980617	−	0.195937i	$-0.0627747\pi$
$127$	−0.217598	−	2.07031i	−0.0193087	−	0.183710i	−0.999925	+	0.0122266i	$0.996108\pi$
$128$	8.26227	−	7.72884i	0.730288	−	0.683139i
$129$	−13.6140	−	4.42345i	−1.19864	−	0.389463i
$130$	−5.41936	−	17.8083i	−0.475309	−	1.56189i
$131$	−13.7044			−1.19736			−0.598681	−	0.800988i	$-0.704308\pi$
$131$	−13.7044			−1.19736			−0.598681	+	0.800988i	$0.704308\pi$
$132$	−18.6604	+	1.53144i	−1.62418	+	0.133295i
$133$	0.727664	−	1.26035i	0.0630965	−	0.109286i
$134$	−0.108033	−	3.30902i	−0.00933259	−	0.285856i
$135$	−6.26398	+	19.2786i	−0.539118	+	1.65923i
$136$	−8.99215	−	2.98959i	−0.771071	−	0.256355i
$137$	−8.66658	+	19.4655i	−0.740436	+	1.66305i	0.00811340	+	0.999967i	$0.497417\pi$
$137$	−8.66658	+	19.4655i	−0.740436	+	1.66305i	−0.748549	+	0.663079i	$0.769249\pi$
$138$	19.9323	−	19.1611i	1.69675	−	1.63110i
$139$	−9.80301	+	10.8873i	−0.831481	+	0.923453i	−0.998040	−	0.0625786i	$-0.980068\pi$
$139$	−9.80301	+	10.8873i	−0.831481	+	0.923453i	0.166559	+	0.986031i	$0.446734\pi$
$140$	−6.80885	−	4.29775i	−0.575453	−	0.363227i
$141$	4.91699	+	11.0437i	0.414086	+	0.930051i
$142$	18.2585	−	2.52380i	1.53222	−	0.211793i
$143$	−10.5577	+	5.61551i	−0.882883	+	0.469592i
$144$	−16.9446	+	10.3754i	−1.41205	+	0.864617i
$145$	−16.3498	+	7.27942i	−1.35778	+	0.604523i
$146$	−5.06763	−	4.27189i	−0.419400	−	0.353544i
$147$	12.1323	+	10.9240i	1.00065	+	0.900993i
$148$	−11.4415	−	9.02300i	−0.940481	−	0.741686i
$149$	−16.2349	−	7.22824i	−1.33001	−	0.592160i	−0.386132	−	0.922444i	$-0.626189\pi$
$149$	−16.2349	−	7.22824i	−1.33001	−	0.592160i	−0.943882	+	0.330284i	$0.892856\pi$
$150$	27.5148	+	18.6500i	2.24658	+	1.52277i
$151$	19.1602	+	6.22553i	1.55924	+	0.506627i	0.956604	−	0.291392i	$-0.0941185\pi$
$151$	19.1602	+	6.22553i	1.55924	+	0.506627i	0.602632	+	0.798019i	$0.294119\pi$
$152$	−3.55768	+	1.12923i	−0.288566	+	0.0915927i
$153$	14.4121	+	8.32082i	1.16515	+	0.672698i
$154$	−1.86870	+	4.82322i	−0.150584	+	0.388666i
$155$		−	27.6905i		−	2.22416i
$156$	−11.7340	+	16.6315i	−0.939475	+	1.33159i
$157$	−5.80188	+	17.8563i	−0.463040	+	1.42509i	0.398390	+	0.917216i	$0.369569\pi$
$157$	−5.80188	+	17.8563i	−0.463040	+	1.42509i	−0.861431	+	0.507875i	$0.830431\pi$
$158$	−14.0330	−	1.01330i	−1.11641	−	0.0806141i
$159$	18.1183	−	1.90431i	1.43687	−	0.151021i
$160$	5.46650	+	19.9144i	0.432165	+	1.57437i
$161$	−2.36038	−	7.26451i	−0.186024	−	0.572523i
$162$	1.02606	−	0.370819i	0.0806149	−	0.0291343i
$163$	0.754329	−	7.17696i	0.0590836	−	0.562143i	−0.924435	−	0.381338i	$-0.875463\pi$
$163$	0.754329	−	7.17696i	0.0590836	−	0.562143i	0.983519	−	0.180804i	$-0.0578701\pi$
$164$	−9.30835	+	2.62345i	−0.726860	+	0.204857i
$165$	13.3799	−	31.4476i	1.04162	−	2.44819i
$166$	−11.2817	−	4.58793i	−0.875631	−	0.356092i
$167$	−8.53882	−	19.1785i	−0.660754	−	1.48408i	−0.863241	−	0.504792i	$-0.831569\pi$
$167$	−8.53882	−	19.1785i	−0.660754	−	1.48408i	0.202487	−	0.979285i	$-0.435098\pi$
$168$	0.860639	+	8.76209i	0.0663997	+	0.676010i
$169$	−2.67800	+	12.7212i	−0.206000	+	0.978552i
$170$	12.4696	−	11.9871i	0.956371	−	0.919370i
$171$	6.51916	−	0.685192i	0.498533	−	0.0523979i
$172$	10.1212	−	0.661574i	0.771731	−	0.0504446i
$173$	1.26945	+	5.97229i	0.0965144	+	0.454065i	0.999692	+	0.0247986i	$0.00789444\pi$
$173$	1.26945	+	5.97229i	0.0965144	+	0.454065i	−0.903178	+	0.429266i	$0.858772\pi$
$174$	17.2581	+	9.22662i	1.30833	+	0.699468i
$175$	7.95275	−	4.59152i	0.601171	−	0.347086i
$176$	11.8797	−	5.90529i	0.895467	−	0.445128i
$177$			14.6503i			1.10118i
$178$	−4.34672	+	0.141911i	−0.325800	+	0.0106367i
$179$	16.8946	−	15.2119i	1.26276	−	1.13699i	0.278467	−	0.960446i	$-0.410174\pi$
$179$	16.8946	−	15.2119i	1.26276	−	1.13699i	0.984292	−	0.176548i	$-0.0564930\pi$
$180$	−2.36555	−	36.1895i	−0.176317	−	2.69741i
$181$	7.31422	−	5.31409i	0.543662	−	0.394993i	−0.281781	−	0.959479i	$-0.590925\pi$
$181$	7.31422	−	5.31409i	0.543662	−	0.394993i	0.825443	+	0.564485i	$0.190925\pi$
$182$	2.71981	+	4.92166i	0.201605	+	0.364818i
$183$	2.91395	+	8.96822i	0.215406	+	0.662950i
$184$	−8.08996	+	17.8423i	−0.596400	+	1.31535i
$185$	24.2976	−	10.8180i	1.78640	−	0.795356i
$186$	−23.9019	+	18.5870i	−1.75257	+	1.36286i
$187$	−9.09682	−	6.38106i	−0.665225	−	0.466630i
$188$	−6.13458	−	5.97816i	−0.447410	−	0.436002i
$189$	0.640074	−	6.08990i	0.0465585	−	0.442975i
$190$	1.19832	−	6.70694i	0.0869354	−	0.486573i
$191$	15.7102	+	14.1455i	1.13675	+	1.02353i	0.999455	+	0.0330034i	$0.0105072\pi$
$191$	15.7102	+	14.1455i	1.13675	+	1.02353i	0.137294	+	0.990530i	$0.456159\pi$
$192$	13.5204	−	18.0859i	0.975749	−	1.30524i
$193$	1.04861	+	9.97688i	0.0754807	+	0.718151i	0.965177	+	0.261598i	$0.0842495\pi$
$193$	1.04861	+	9.97688i	0.0754807	+	0.718151i	−0.889696	+	0.456553i	$0.849084\pi$
$194$	18.1147	−	8.78427i	1.30056	−	0.630674i
$195$	−16.8994	−	33.0869i	−1.21019	−	2.36940i
$196$	−10.8520	−	4.00570i	−0.775142	−	0.286121i
$197$	−7.88413	+	13.6557i	−0.561721	+	0.972930i	0.435625	+	0.900128i	$0.356527\pi$
$197$	−7.88413	+	13.6557i	−0.561721	+	0.972930i	−0.997346	+	0.0728016i	$0.976806\pi$
$198$	−22.5230	+	5.95999i	−1.60064	+	0.423558i
$199$	−7.65675	+	4.42063i	−0.542773	+	0.313370i	−0.746202	−	0.665720i	$-0.768125\pi$
$199$	−7.65675	+	4.42063i	−0.542773	+	0.313370i	0.203429	+	0.979090i	$0.434791\pi$
$200$	−23.0039	−	5.05363i	−1.62662	−	0.357345i
$201$	−1.37388	−	6.46357i	−0.0969057	−	0.455905i
$202$	9.73418	+	6.59799i	0.684895	+	0.464233i
$203$	4.37390	−	3.17782i	0.306987	−	0.223039i
$204$	−18.7171	−	2.71724i	−1.31046	−	0.190245i
$205$	3.67017	−	17.2668i	0.256336	−	1.20597i
$206$	−5.06486	+	6.00831i	−0.352886	+	0.418619i
$207$	20.2225	−	27.8339i	1.40556	−	1.93459i
$208$	3.35806	−	14.0258i	0.232840	−	0.972515i
$209$	−4.37625	+	0.0727087i	−0.302712	+	0.00502936i
$210$	−14.8866	−	6.05393i	−1.02727	−	0.417761i
$211$	−3.02492	+	1.34678i	−0.208244	+	0.0927163i	−0.508208	−	0.861234i	$-0.669692\pi$
$211$	−3.02492	+	1.34678i	−0.208244	+	0.0927163i	0.299964	+	0.953951i	$0.403025\pi$
$212$	−11.4250	+	6.00841i	−0.784673	+	0.412659i
$213$	34.9879	−	11.3683i	2.39733	−	0.778940i
$214$	−17.2175	−	4.97936i	−1.17696	−	0.340382i
$215$	−7.53020	+	16.9131i	−0.513555	+	1.15346i
$216$	−11.7426	+	10.4292i	−0.798983	+	0.709614i
$217$	1.73915	+	8.18207i	0.118061	+	0.555435i
$218$	−10.6824	+	6.64142i	−0.723502	+	0.449814i
$219$	−11.4564	−	6.61437i	−0.774153	−	0.446958i
$220$	−0.552896	+	24.2092i	−0.0372762	+	1.63218i
$221$	−11.6650	+	3.13786i	−0.784675	+	0.211075i
$222$	−25.6474	−	13.7118i	−1.72134	−	0.920273i
$223$	2.29670	+	2.55074i	0.153798	+	0.170810i	0.815120	−	0.579292i	$-0.196671\pi$
$223$	2.29670	+	2.55074i	0.153798	+	0.170810i	−0.661322	+	0.750102i	$0.730004\pi$
$224$	−2.86602	−	5.54103i	−0.191494	−	0.370225i
$225$	37.7862	+	16.8235i	2.51908	+	1.12157i
$226$	−14.5511	+	13.9881i	−0.967926	+	0.930477i
$227$	−9.96373	−	8.97138i	−0.661316	−	0.595451i	0.268588	−	0.963255i	$-0.413443\pi$
$227$	−9.96373	−	8.97138i	−0.661316	−	0.595451i	−0.929903	+	0.367804i	$0.880110\pi$
$228$	−6.59366	+	3.46760i	−0.436676	+	0.229647i
$229$	−1.13257	+	1.55885i	−0.0748422	+	0.103011i	−0.844797	−	0.535087i	$-0.820279\pi$
$229$	−1.13257	+	1.55885i	−0.0748422	+	0.103011i	0.769955	+	0.638099i	$0.220279\pi$
$230$	−21.9515	−	28.2285i	−1.44744	−	1.86133i
$231$	−1.97841	+	10.1326i	−0.130170	+	0.666674i
$232$	−13.7802	−	1.54331i	−0.904712	−	0.101324i
$233$	4.42989	−	6.09723i	0.290212	−	0.399443i	−0.638871	−	0.769314i	$-0.720598\pi$
$233$	4.42989	−	6.09723i	0.290212	−	0.399443i	0.929083	+	0.369871i	$0.120598\pi$
$234$	−10.7337	+	22.9410i	−0.701683	+	1.49970i
$235$	14.8699	−	4.83151i	0.970003	−	0.315173i
$236$	−3.84491	−	9.64230i	−0.250282	−	0.627660i
$237$	−27.9275	+	2.93530i	−1.81409	+	0.190668i
$238$	−2.93166	+	4.32516i	−0.190032	+	0.280358i
$239$	24.6627	+	8.01339i	1.59530	+	0.518343i	0.965938	−	0.258772i	$-0.0833178\pi$
$239$	24.6627	+	8.01339i	1.59530	+	0.518343i	0.629358	+	0.777115i	$0.283318\pi$
$240$	17.7313	+	37.2085i	1.14455	+	2.40180i
$241$	−0.629877	−	1.09098i	−0.0405740	−	0.0702762i	0.845025	−	0.534726i	$-0.179585\pi$
$241$	−0.629877	−	1.09098i	−0.0405740	−	0.0702762i	−0.885599	+	0.464450i	$0.846252\pi$
$242$	15.3306	−	2.64078i	0.985486	−	0.169756i
$243$	−12.5404	+	7.24021i	−0.804468	+	0.464460i
$244$	−4.27153	−	5.13781i	−0.273457	−	0.328915i
$245$	15.6912	−	14.1285i	1.00248	−	0.902634i
$246$	−17.3679	+	8.42215i	−1.10734	+	0.536977i
$247$	−2.99078	+	3.70070i	−0.190299	+	0.235470i
$248$	10.8533	−	18.5063i	0.689186	−	1.17515i
$249$	−23.7767	−	5.05389i	−1.50679	−	0.320277i
$250$	11.0709	−	13.1331i	0.700185	−	0.830611i
$251$	2.10830	+	0.221591i	0.133075	+	0.0139867i	0.170832	−	0.985300i	$-0.445355\pi$
$251$	2.10830	+	0.221591i	0.133075	+	0.0139867i	−0.0377570	+	0.999287i	$0.512021\pi$
$252$	2.97192	+	10.5448i	0.187214	+	0.664260i
$253$	−15.0856	+	17.3246i	−0.948426	+	1.08919i
$254$	1.80723	+	2.32400i	0.113396	+	0.145821i
$255$	20.2919	−	27.9294i	1.27073	−	1.74901i
$256$	−4.15206	+	15.4519i	−0.259504	+	0.965742i
$257$	−1.96603	−	0.417893i	−0.122638	−	0.0260675i	0.146184	−	0.989257i	$-0.453301\pi$
$257$	−1.96603	−	0.417893i	−0.122638	−	0.0260675i	−0.268822	+	0.963190i	$0.586634\pi$
$258$	19.6536	−	4.85283i	1.22358	−	0.302124i
$259$	−6.50009	+	4.72259i	−0.403896	+	0.293448i
$260$	19.8061	+	17.3415i	1.22832	+	1.07547i
$261$	23.1598	+	7.52506i	1.43355	+	0.465789i
$262$	16.4593	−	10.2330i	1.01686	−	0.632198i
$263$	−0.679842	+	1.17752i	−0.0419208	+	0.0726090i	−0.886225	−	0.463256i	$-0.846681\pi$
$263$	−0.679842	+	1.17752i	−0.0419208	+	0.0726090i	0.844304	+	0.535865i	$0.180014\pi$
$264$	21.2680	−	15.7729i	1.30896	−	0.970756i
$265$		−	23.5622i		−	1.44742i
$266$	0.0671583	+	2.05705i	0.00411774	+	0.126126i
$267$	−8.49053	+	1.80472i	−0.519612	+	0.110447i
$268$	2.60057	+	3.89353i	0.158855	+	0.237835i
$269$	17.7609	+	7.90765i	1.08290	+	0.482138i	0.869048	−	0.494728i	$-0.164732\pi$
$269$	17.7609	+	7.90765i	1.08290	+	0.482138i	0.213852	+	0.976866i	$0.431399\pi$
$270$	−6.87202	−	27.8312i	−0.418218	−	1.69375i
$271$	4.62946	−	21.7799i	0.281219	−	1.32303i	−0.579924	−	0.814671i	$-0.696918\pi$
$271$	4.62946	−	21.7799i	0.281219	−	1.32303i	0.861143	−	0.508363i	$-0.169749\pi$
$272$	13.0321	−	3.12384i	0.790185	−	0.189410i
$273$	7.07155	+	8.71521i	0.427990	+	0.527469i
$274$	−4.12601	−	29.8497i	−0.249262	−	1.80328i
$275$	−24.1438	−	13.4096i	−1.45592	−	0.808632i
$276$	−9.63155	+	37.8962i	−0.579751	+	2.28108i
$277$	8.21988	+	0.863945i	0.493885	+	0.0519094i	0.348197	−	0.937421i	$-0.386794\pi$
$277$	8.21988	+	0.863945i	0.493885	+	0.0519094i	0.145688	+	0.989331i	$0.453461\pi$
$278$	3.64409	−	20.3958i	0.218558	−	1.22326i
$279$	−25.2108	+	27.9994i	−1.50933	+	1.67628i
$280$	11.3867	+	0.0775539i	0.680484	+	0.00463473i
$281$	7.56047	−	5.49300i	0.451020	−	0.327685i	−0.338978	−	0.940794i	$-0.610081\pi$
$281$	7.56047	−	5.49300i	0.451020	−	0.327685i	0.789998	+	0.613109i	$0.210081\pi$
$282$	−14.1517	−	9.59227i	−0.842722	−	0.571211i
$283$	−7.99323	−	8.87738i	−0.475148	−	0.527706i	0.457153	−	0.889388i	$-0.348869\pi$
$283$	−7.99323	−	8.87738i	−0.475148	−	0.527706i	−0.932301	+	0.361682i	$0.882202\pi$
$284$	−20.0443	+	16.6646i	−1.18941	+	0.988863i
$285$		−	13.5983i		−	0.805496i
$286$	8.48700	−	14.6277i	0.501847	−	0.864957i
$287$			5.33256i			0.314771i
$288$	12.6035	−	25.1135i	0.742671	−	1.47983i
$289$	3.86453	+	4.29199i	0.227325	+	0.252470i
$290$	14.2010	−	20.9511i	0.833910	−	1.23029i
$291$	32.5077	−	23.6182i	1.90564	−	1.38453i
$292$	9.27612	+	1.34665i	0.542844	+	0.0788069i
$293$	−8.38324	+	9.31053i	−0.489754	+	0.543927i	−0.936469	−	0.350749i	$-0.885927\pi$
$293$	−8.38324	+	9.31053i	−0.489754	+	0.543927i	0.446716	+	0.894676i	$0.352594\pi$
$294$	−22.7280	−	4.06078i	−1.32552	−	0.236829i
$295$	18.8441	+	1.98059i	1.09714	+	0.115315i
$296$	20.4788	+	2.29353i	1.19031	+	0.133309i
$297$	−16.6972	+	7.76894i	−0.968868	+	0.450800i
$298$	24.8957	−	3.44124i	1.44217	−	0.199346i
$299$	3.93079	+	24.6620i	0.227324	+	1.42624i
$300$	−46.9717	−	1.85386i	−2.71191	−	0.107033i
$301$	1.16279	−	5.47048i	0.0670219	−	0.315313i
$302$	−27.6604	+	6.82984i	−1.59167	+	0.393013i
$303$	21.4417	+	9.54647i	1.23180	+	0.548431i
$304$	3.42966	−	4.01273i	0.196704	−	0.230146i
$305$	11.9294	−	2.53567i	0.683076	−	0.145192i
$306$	−23.5223	+	0.767954i	−1.34468	+	0.0439010i
$307$			18.9625i			1.08225i	0.840943	+	0.541124i	$0.182001\pi$
$307$			18.9625i			1.08225i	−0.840943	+	0.541124i	$0.817999\pi$
$308$	−1.35713	−	7.18812i	−0.0773297	−	0.409581i
$309$	−7.84216	+	13.5830i	−0.446125	+	0.772711i
$310$	20.6764	+	33.2569i	1.17434	+	1.88886i
$311$	8.46360	+	2.74999i	0.479927	+	0.155938i	0.538982	−	0.842317i	$-0.318809\pi$
$311$	8.46360	+	2.74999i	0.479927	+	0.155938i	−0.0590557	+	0.998255i	$0.518809\pi$
$312$	1.67417	−	28.7365i	0.0947811	−	1.62688i
$313$	4.07063	−	2.95749i	0.230086	−	0.167167i	−0.466769	−	0.884379i	$-0.654582\pi$
$313$	4.07063	−	2.95749i	0.230086	−	0.167167i	0.696855	+	0.717212i	$0.254582\pi$
$314$	−6.36506	−	25.7780i	−0.359201	−	1.45474i
$315$	−19.5604	−	4.15769i	−1.10210	−	0.234259i
$316$	17.6105	−	9.26137i	0.990670	−	0.520993i
$317$	−6.05096	+	8.32843i	−0.339856	+	0.467771i	−0.944399	−	0.328801i	$-0.893356\pi$
$317$	−6.05096	+	8.32843i	−0.339856	+	0.467771i	0.604544	+	0.796572i	$0.293356\pi$
$318$	−20.3384	+	15.8159i	−1.14052	+	0.886912i
$319$	−14.9618	−	6.36575i	−0.837699	−	0.356413i
$320$	−21.4353	−	19.8358i	−1.19827	−	1.10885i
$321$	−35.5766	−	3.73925i	−1.98569	−	0.208704i
$322$	8.25923	+	6.96233i	0.460269	+	0.387995i
$323$	−4.32469	−	0.919241i	−0.240632	−	0.0511479i
$324$	−0.955429	+	1.21151i	−0.0530794	+	0.0673064i
$325$	−28.0190	+	10.7869i	−1.55421	+	0.598349i
$326$	4.45303	+	9.18292i	0.246631	+	0.508595i
$327$	−18.6571	+	16.7989i	−1.03174	+	0.928983i
$328$	9.22060	−	10.1013i	0.509122	−	0.557751i
$329$	−4.09034	+	2.36156i	−0.225508	+	0.130197i
$330$	7.41220	+	47.7599i	0.408028	+	2.62909i
$331$	−2.13176	−	3.69232i	−0.117172	−	0.202948i	0.801474	−	0.598030i	$-0.204050\pi$
$331$	−2.13176	−	3.69232i	−0.117172	−	0.202948i	−0.918646	+	0.395082i	$0.870716\pi$
$332$	16.9753	−	2.91380i	0.931643	−	0.159916i
$333$	−34.4179	−	11.1831i	−1.88609	−	0.612828i
$334$	24.5758	+	16.6579i	1.34473	+	0.911478i
$335$	−8.49957	+	0.893341i	−0.464381	+	0.0488084i
$336$	−7.57625	−	9.88081i	−0.413318	−	0.539042i
$337$	7.43463	−	2.41566i	0.404990	−	0.131589i	−0.0994363	−	0.995044i	$-0.531704\pi$
$337$	7.43463	−	2.41566i	0.404990	−	0.131589i	0.504427	+	0.863455i	$0.331704\pi$
$338$	−6.28251	−	17.2780i	−0.341723	−	0.939801i
$339$	−23.6793	+	32.5917i	−1.28608	+	1.77014i
$340$	−6.02546	+	23.7077i	−0.326777	+	1.28573i
$341$	18.4131	−	17.1416i	0.997128	−	0.928271i
$342$	−7.31801	+	5.69075i	−0.395713	+	0.307720i
$343$	−8.28657	+	11.4055i	−0.447433	+	0.615838i
$344$	−11.6617	+	8.35197i	−0.628757	+	0.450308i
$345$	−53.0394	−	47.7569i	−2.85554	−	2.57114i
$346$	−5.98411	−	6.22494i	−0.321708	−	0.334655i
$347$	5.96164	+	2.65430i	0.320038	+	0.142490i	0.560467	−	0.828177i	$-0.310622\pi$
$347$	5.96164	+	2.65430i	0.320038	+	0.142490i	−0.240429	+	0.970667i	$0.577288\pi$
$348$	−27.6168	+	1.80518i	−1.48041	+	0.0967680i
$349$	7.97209	+	8.85390i	0.426736	+	0.473938i	0.917719	−	0.397231i	$-0.130029\pi$
$349$	7.97209	+	8.85390i	0.426736	+	0.473938i	−0.490983	+	0.871169i	$0.663362\pi$
$350$	−6.12294	+	11.4528i	−0.327285	+	0.612177i
$351$	−5.16276	+	19.3433i	−0.275568	+	1.03247i
$352$	−9.85832	+	15.9629i	−0.525450	+	0.850824i
$353$	19.4651	+	11.2382i	1.03602	+	0.598147i	0.918704	−	0.394948i	$-0.129237\pi$
$353$	19.4651	+	11.2382i	1.03602	+	0.598147i	0.117317	+	0.993094i	$0.462571\pi$
$354$	−10.9393	−	17.5953i	−0.581417	−	0.935179i
$355$	−9.89248	−	46.5404i	−0.525038	−	2.47011i
$356$	5.11453	−	3.41611i	0.271069	−	0.181053i
$357$	−4.24175	+	9.52714i	−0.224497	+	0.504230i
$358$	−8.93204	+	30.8849i	−0.472073	+	1.63232i
$359$	−24.7682	+	8.04767i	−1.30722	+	0.424740i	−0.878086	−	0.478503i	$-0.841180\pi$
$359$	−24.7682	+	8.04767i	−1.30722	+	0.424740i	−0.429129	+	0.903243i	$0.641180\pi$
$360$	29.8636	+	41.6980i	1.57395	+	2.19768i
$361$	15.7664	−	7.01965i	0.829810	−	0.369455i
$362$	−4.81652	+	11.8438i	−0.253151	+	0.622497i
$363$	29.1942	−	10.5703i	1.53230	−	0.554795i
$364$	−6.94152	−	3.88014i	−0.363834	−	0.203375i
$365$	−10.0566	+	13.8417i	−0.526387	+	0.724509i
$366$	−10.1962	−	8.59518i	−0.532966	−	0.449277i
$367$	3.91828	−	18.4341i	0.204533	−	0.962251i	−0.749374	−	0.662147i	$-0.769645\pi$
$367$	3.91828	−	18.4341i	0.204533	−	0.962251i	0.953907	−	0.300104i	$-0.0970213\pi$
$368$	−3.60655	−	27.4697i	−0.188004	−	1.43196i
$369$	−19.4317	+	14.1179i	−1.01157	+	0.734950i
$370$	−21.1042	+	31.1356i	−1.09716	+	1.61866i
$371$	1.47987	+	6.96223i	0.0768309	+	0.361461i
$372$	14.8279	−	40.1708i	0.768789	−	2.08276i
$373$	16.3782	−	9.45596i	0.848032	−	0.489611i	−0.0119546	−	0.999929i	$-0.503805\pi$
$373$	16.3782	−	9.45596i	0.848032	−	0.489611i	0.859986	+	0.510317i	$0.170472\pi$
$374$	15.6902	+	0.871237i	0.811319	+	0.0450506i
$375$	17.1416	−	29.6901i	0.885187	−	1.53319i
$376$	11.8316	+	2.59923i	0.610168	+	0.134045i
$377$	−15.7417	+	8.04019i	−0.810740	+	0.414091i
$378$	3.77855	+	7.79203i	0.194348	+	0.400779i
$379$	−0.659863	−	6.27817i	−0.0338949	−	0.322488i	−0.998311	−	0.0580986i	$-0.981496\pi$
$379$	−0.659863	−	6.27817i	−0.0338949	−	0.322488i	0.964416	−	0.264390i	$-0.0851704\pi$
$380$	3.56883	+	8.94995i	0.183077	+	0.459123i
$381$	4.36664	+	3.93174i	0.223710	+	0.201429i
$382$	−29.4306	−	5.25833i	−1.50580	−	0.269040i
$383$	−2.99150	+	28.4622i	−0.152859	+	1.45435i	0.602016	+	0.798484i	$0.294364\pi$
$383$	−2.99150	+	28.4622i	−0.152859	+	1.45435i	−0.754875	+	0.655869i	$0.772302\pi$
$384$	−2.73359	+	31.8171i	−0.139498	+	1.62366i
$385$	12.7656	+	3.91459i	0.650598	+	0.199506i
$386$	−8.70908	−	11.1994i	−0.443280	−	0.570036i
$387$	23.0127	−	10.2459i	1.16980	−	0.520829i
$388$	−15.1969	+	24.0762i	−0.771507	+	1.22228i
$389$	3.85339	+	11.8595i	0.195375	+	0.601301i	0.999972	+	0.00748045i	$0.00238112\pi$
$389$	3.85339	+	11.8595i	0.195375	+	0.601301i	−0.804597	+	0.593821i	$0.797619\pi$
$390$	45.0023	+	27.1193i	2.27878	+	1.37324i
$391$	−18.7736	+	13.6398i	−0.949421	+	0.689795i
$392$	16.0245	−	3.29220i	0.809359	−	0.166281i
$393$	28.7466	−	25.8836i	1.45008	−	1.30565i
$394$	−0.727651	−	22.2878i	−0.0366585	−	1.12284i
$395$			36.3189i			1.82740i
$396$	22.6003	−	23.9759i	1.13571	−	1.20483i
$397$	13.7630	−	7.94607i	0.690745	−	0.398802i	−0.113146	−	0.993578i	$-0.536093\pi$
$397$	13.7630	−	7.94607i	0.690745	−	0.398802i	0.803891	+	0.594777i	$0.202759\pi$
$398$	5.89505	−	11.0265i	0.295492	−	0.552709i
$399$	0.854068	+	4.01807i	0.0427569	+	0.201155i
$400$	31.4017	−	11.1074i	1.57008	−	0.555369i
$401$	9.87843	−	1.03827i	0.493305	−	0.0518485i	0.145390	−	0.989374i	$-0.453556\pi$
$401$	9.87843	−	1.03827i	0.493305	−	0.0518485i	0.347915	+	0.937526i	$0.386890\pi$
$402$	6.47637	+	6.73701i	0.323012	+	0.336012i
$403$	−1.45801	−	27.3098i	−0.0726284	−	1.36040i
$404$	−16.6176	−	0.655858i	−0.826758	−	0.0326302i
$405$	−1.14550	−	2.57283i	−0.0569203	−	0.127845i
$406$	−2.88027	+	7.08259i	−0.142946	+	0.351503i
$407$	22.2348	+	9.46019i	1.10214	+	0.468924i
$408$	24.5085	−	10.7125i	1.21335	−	0.530348i
$409$	2.71514	−	25.8328i	0.134255	−	1.27735i	−0.695217	−	0.718800i	$-0.744692\pi$
$409$	2.71514	−	25.8328i	0.134255	−	1.27735i	0.829472	−	0.558549i	$-0.188642\pi$
$410$	8.48508	+	23.4783i	0.419048	+	1.15951i
$411$	−18.5853	−	57.1997i	−0.916745	−	2.82145i
$412$	1.59662	−	10.9980i	0.0786600	−	0.541833i
$413$	−5.69249	+	0.598305i	−0.280109	+	0.0294407i
$414$	−3.50422	+	48.5291i	−0.172223	+	2.38507i
$415$	−9.71502	+	29.8997i	−0.476891	+	1.46772i
$416$	6.43989	+	19.3527i	0.315742	+	0.948845i
$417$		−	41.3525i		−	2.02504i
$418$	5.20167	−	3.35505i	0.254422	−	0.164101i
$419$	−1.32695	−	0.766112i	−0.0648255	−	0.0374270i	0.467237	−	0.884132i	$-0.345250\pi$
$419$	−1.32695	−	0.766112i	−0.0648255	−	0.0374270i	−0.532062	+	0.846705i	$0.678583\pi$
$420$	22.3996	−	3.84486i	1.09299	−	0.187610i
$421$	−15.1582	−	4.92521i	−0.738767	−	0.240040i	−0.0846263	−	0.996413i	$-0.526970\pi$
$421$	−15.1582	−	4.92521i	−0.738767	−	0.240040i	−0.654141	+	0.756373i	$0.726970\pi$
$422$	2.62736	−	3.87621i	0.127898	−	0.188691i
$423$	−19.4346	−	8.65283i	−0.944942	−	0.420715i
$424$	9.23522	−	15.7472i	0.448502	−	0.764752i
$425$	−20.7324	−	18.6675i	−1.00567	−	0.905509i
$426$	−33.5325	+	39.7788i	−1.62466	+	1.92729i
$427$	−3.36568	+	1.49850i	−0.162876	+	0.0725173i
$428$	24.3966	−	6.87588i	1.17925	−	0.332358i
$429$	11.5401	−	31.7196i	0.557161	−	1.53144i
$430$	−3.58500	−	25.9357i	−0.172884	−	1.25073i
$431$	14.4093	+	32.3637i	0.694069	+	1.55891i	0.823500	+	0.567317i	$0.192018\pi$
$431$	14.4093	+	32.3637i	0.694069	+	1.55891i	−0.129430	+	0.991589i	$0.541315\pi$
$432$	6.31571	−	21.2938i	0.303865	−	1.02450i
$433$	−10.7795	+	11.9719i	−0.518030	+	0.575331i	−0.944225	−	0.329301i	$-0.893187\pi$
$433$	−10.7795	+	11.9719i	−0.518030	+	0.575331i	0.426195	+	0.904631i	$0.359854\pi$
$434$	−8.19826	−	8.52821i	−0.393529	−	0.409367i
$435$	20.5470	−	46.1494i	0.985155	−	2.21270i
$436$	7.87064	−	15.9529i	0.376935	−	0.764008i
$437$	−2.82458	+	8.69315i	−0.135118	+	0.415850i
$438$	18.6983	−	0.610460i	0.893439	−	0.0291689i
$439$	−2.28618	+	3.95977i	−0.109113	+	0.188990i	−0.915411	−	0.402520i	$-0.868134\pi$
$439$	−2.28618	+	3.95977i	−0.109113	+	0.188990i	0.806298	+	0.591510i	$0.201468\pi$
$440$	−17.4128	−	29.4886i	−0.830124	−	1.40581i
$441$	−28.7295			−1.36807
$442$	11.6669	−	12.4788i	0.554939	−	0.593558i
$443$	27.9848	+	9.09282i	1.32960	+	0.432013i	0.885781	−	0.464104i	$-0.153624\pi$
$443$	27.9848	+	9.09282i	1.32960	+	0.432013i	0.443818	+	0.896117i	$0.353624\pi$
$444$	41.0416	−	2.68270i	1.94775	−	0.127315i
$445$	1.17349	+	11.1650i	0.0556288	+	0.529272i
$446$	−4.66301	−	1.34856i	−0.220800	−	0.0638562i
$447$	47.7066	−	15.5008i	2.25644	−	0.733163i
$448$	7.57959	+	4.51484i	0.358102	+	0.213306i
$449$	−20.5109	−	2.15578i	−0.967967	−	0.101737i	−0.392668	−	0.919680i	$-0.628448\pi$
$449$	−20.5109	−	2.15578i	−0.967967	−	0.101737i	−0.575299	+	0.817943i	$0.695114\pi$
$450$	−57.9440	+	8.00939i	−2.73151	+	0.377566i
$451$	13.7538	−	8.24837i	0.647640	−	0.388401i
$452$	7.03130	−	27.6653i	0.330725	−	1.30126i
$453$	−51.9490	+	23.1292i	−2.44078	+	1.08670i
$454$	18.6655	+	3.33494i	0.876016	+	0.156517i
$455$	12.1660	−	7.91763i	0.570353	−	0.371184i
$456$	5.32987	−	9.08810i	0.249594	−	0.425589i
$457$	−2.32423	−	22.1135i	−0.108723	−	1.03443i	−0.903810	−	0.427933i	$-0.859242\pi$
$457$	−2.32423	−	22.1135i	−0.108723	−	1.03443i	0.795088	−	0.606495i	$-0.207425\pi$
$458$	0.196255	−	2.71789i	0.00917037	−	0.126998i
$459$	−18.1966	+	3.86780i	−0.849344	+	0.180534i
$460$	47.4422	+	17.5119i	2.21201	+	0.816497i
$461$	15.3794	+	26.6379i	0.716290	+	1.24065i	0.962460	+	0.271423i	$0.0874944\pi$
$461$	15.3794	+	26.6379i	0.716290	+	1.24065i	−0.246170	+	0.969227i	$0.579172\pi$
$462$	−5.18982	−	13.6467i	−0.241452	−	0.634901i
$463$	−13.7556			−0.639276			−0.319638	−	0.947540i	$-0.603561\pi$
$463$	−13.7556			−0.639276			−0.319638	+	0.947540i	$0.603561\pi$
$464$	17.7026	−	8.43602i	0.821824	−	0.391632i
$465$	52.2992	+	58.0841i	2.42532	+	2.69359i
$466$	−0.767625	+	10.6307i	−0.0355595	+	0.492456i
$467$	15.5995	+	21.4709i	0.721859	+	0.993554i	0.999460	+	0.0328574i	$0.0104607\pi$
$467$	15.5995	+	21.4709i	0.721859	+	0.993554i	−0.277601	+	0.960697i	$0.589539\pi$
$468$	−4.23852	−	35.5673i	−0.195926	−	1.64410i
$469$	2.45537	−	0.797798i	0.113378	−	0.0368389i
$470$	−14.2513	+	16.9060i	−0.657365	+	0.779815i
$471$	−21.5552	−	48.4138i	−0.993212	−	2.23079i
$472$	11.8177	+	8.70962i	0.543952	+	0.400893i
$473$	−15.9081	+	5.46264i	−0.731455	+	0.251173i
$474$	31.3497	−	24.3787i	1.43994	−	1.11975i
$475$	−10.9288	−	1.14866i	−0.501447	−	0.0527042i
$476$	0.291415	−	7.38366i	0.0133570	−	0.338429i
$477$	−21.4522	+	23.8251i	−0.982228	+	1.09087i
$478$	−35.6039	+	8.79125i	−1.62849	+	0.402102i
$479$	−29.8254	+	3.13477i	−1.36276	+	0.143232i	−0.757519	−	0.652813i	$-0.773589\pi$
$479$	−29.8254	+	3.13477i	−1.36276	+	0.143232i	−0.605238	+	0.796045i	$0.706922\pi$
$480$	−49.0790	−	31.4482i	−2.24014	−	1.43541i
$481$	23.3939	−	11.9486i	1.06667	−	0.544809i
$482$	1.57112	+	0.839962i	0.0715627	+	0.0382592i
$483$	18.6717	+	10.7801i	0.849590	+	0.490511i
$484$	−16.4405	+	14.6189i	−0.747293	+	0.664494i
$485$	−25.9844	−	45.0063i	−1.17989	−	2.04363i
$486$	9.65506	−	18.0595i	0.437962	−	0.819195i
$487$	16.4788	−	3.50269i	0.746728	−	0.158722i	0.181194	−	0.983447i	$-0.442004\pi$
$487$	16.4788	−	3.50269i	0.746728	−	0.158722i	0.565533	+	0.824725i	$0.308670\pi$
$488$	8.96657	+	2.98108i	0.405898	+	0.134947i
$489$	11.9729	+	16.4792i	0.541431	+	0.745216i
$490$	−8.29584	+	28.6851i	−0.374768	+	1.29586i
$491$	41.6187	+	8.84633i	1.87823	+	0.399229i	0.997262	−	0.0739549i	$-0.0235621\pi$
$491$	41.6187	+	8.84633i	1.87823	+	0.399229i	0.880964	+	0.473184i	$0.156895\pi$
$492$	14.5705	−	23.0837i	0.656887	−	1.04069i
$493$	−13.2880	−	9.65427i	−0.598460	−	0.434806i
$494$	0.828698	−	6.67781i	0.0372849	−	0.300449i
$495$	19.5324	+	56.8814i	0.877916	+	2.55663i
$496$	0.783473	+	30.3305i	0.0351790	+	1.36188i
$497$	5.84611	+	13.1306i	0.262234	+	0.588987i
$498$	32.3300	−	11.6841i	1.44874	−	0.523577i
$499$	−1.09414	−	3.36742i	−0.0489805	−	0.150746i	0.923575	−	0.383418i	$-0.125253\pi$
$499$	−1.09414	−	3.36742i	−0.0489805	−	0.150746i	−0.972555	+	0.232672i	$0.925253\pi$
$500$	−3.48994	+	24.0397i	−0.156075	+	1.07509i
$501$	54.1337	+	24.1019i	2.41851	+	1.07679i
$502$	−2.69757	+	1.30812i	−0.120398	+	0.0583842i
$503$	−32.5408	+	6.91675i	−1.45092	+	0.308403i	−0.864921	−	0.501908i	$-0.832631\pi$
$503$	−32.5408	+	6.91675i	−1.45092	+	0.308403i	−0.586000	+	0.810311i	$0.699298\pi$
$504$	−11.4431	−	10.4454i	−0.509716	−	0.465275i
$505$	15.1780	−	26.2890i	0.675411	−	1.16985i
$506$	5.18196	−	32.0716i	0.230366	−	1.42575i
$507$	−18.4091	−	31.7421i	−0.817578	−	1.40972i
$508$	−3.90583	−	1.44172i	−0.173293	−	0.0639662i
$509$	25.6730	−	23.1161i	1.13794	−	1.02460i	0.138522	−	0.990359i	$-0.455765\pi$
$509$	25.6730	−	23.1161i	1.13794	−	1.02460i	0.999414	−	0.0342422i	$-0.0109018\pi$
$510$	−3.51624	+	48.6957i	−0.155702	+	2.15628i
$511$	2.10220	−	4.72161i	0.0929958	−	0.208872i
$512$	−6.55112	−	21.6583i	−0.289521	−	0.957172i
$513$	−4.90318	+	5.44553i	−0.216481	+	0.240426i
$514$	2.67328	−	0.966128i	0.117913	−	0.0426141i
$515$	16.4111	+	11.9234i	0.723159	+	0.525406i
$516$	−19.9808	+	20.5036i	−0.879606	+	0.902620i
$517$	12.4179	+	6.89698i	0.546137	+	0.303329i
$518$	4.28040	−	10.5255i	0.188070	−	0.462464i
$519$	−13.9427	−	10.1300i	−0.612017	−	0.444656i
$520$	−36.7363	−	6.03834i	−1.61099	−	0.264799i
$521$	−7.39914	−	22.7722i	−0.324162	−	0.997668i	−0.971817	−	0.235735i	$-0.924250\pi$
$521$	−7.39914	−	22.7722i	−0.324162	−	0.997668i	0.647655	−	0.761933i	$-0.275750\pi$
$522$	−33.4342	+	8.25551i	−1.46338	+	0.361334i
$523$	0.415400	+	3.95227i	0.0181642	+	0.172821i	0.999843	−	0.0177228i	$-0.00564164\pi$
$523$	0.415400	+	3.95227i	0.0181642	+	0.172821i	−0.981679	+	0.190544i	$0.938975\pi$
$524$	−12.1270	+	24.5801i	−0.529770	+	1.07379i
$525$	−8.00980	+	24.6516i	−0.349576	+	1.07589i
$526$	−0.0627446	−	1.92186i	−0.00273580	−	0.0837970i
$527$	22.0079	−	12.7063i	0.958681	−	0.553495i
$528$	−13.7657	+	34.8243i	−0.599077	+	1.51553i
$529$	12.4872	+	21.6285i	0.542923	+	0.940370i
$530$	17.5938	+	28.2987i	0.764225	+	1.22922i
$531$	−17.2511	−	19.1592i	−0.748632	−	0.831440i
$532$	−1.61664	−	2.42041i	−0.0700904	−	0.104938i
$533$	2.71055	−	17.2226i	0.117407	−	0.745994i
$534$	8.84972	−	8.50733i	0.382965	−	0.368148i
$535$	−9.61929	+	45.2552i	−0.415878	+	1.95655i
$536$	−6.03062	−	2.73437i	−0.260483	−	0.118107i
$537$	−6.70750	+	63.8176i	−0.289450	+	2.75393i
$538$	−27.2358	+	3.76470i	−1.17422	+	0.162308i
$539$	19.1084	+	1.68795i	0.823058	+	0.0727054i
$540$	29.0348	+	28.2945i	1.24946	+	1.21760i
$541$	12.8951	+	9.36882i	0.554402	+	0.402797i	0.829406	−	0.558646i	$-0.188679\pi$
$541$	12.8951	+	9.36882i	0.554402	+	0.402797i	−0.275004	+	0.961443i	$0.588679\pi$
$542$	10.7028	+	29.6148i	0.459727	+	1.27207i
$543$	−5.30569	+	24.9613i	−0.227689	+	1.07119i
$544$	−13.3192	+	13.4828i	−0.571056	+	0.578068i
$545$	19.0855	+	26.2690i	0.817534	+	1.12524i
$546$	−15.0007	−	5.18685i	−0.641969	−	0.221977i
$547$	4.68700	−	14.4251i	0.200402	−	0.616773i	−0.799469	−	0.600707i	$-0.794886\pi$
$547$	4.68700	−	14.4251i	0.200402	−	0.616773i	0.999871	−	0.0160661i	$-0.00511422\pi$
$548$	27.2440	+	32.7692i	1.16381	+	1.39983i
$549$	−14.3711	−	8.29715i	−0.613343	−	0.354114i
$550$	39.0100	−	1.92277i	1.66339	−	0.0819870i
$551$	−6.46967			−0.275617
$552$	−16.7292	−	52.7059i	−0.712041	−	2.24331i
$553$	−2.28107	−	10.7316i	−0.0970010	−	0.456354i
$554$	−10.5173	+	5.10013i	−0.446839	+	0.216684i
$555$	−30.5352	+	68.5831i	−1.29615	+	2.91119i
$556$	10.8528	+	27.2167i	0.460261	+	1.15425i
$557$	19.0332	+	4.04564i	0.806464	+	0.171419i	0.592655	−	0.805456i	$-0.298080\pi$
$557$	19.0332	+	4.04564i	0.806464	+	0.171419i	0.213809	+	0.976876i	$0.431413\pi$
$558$	9.37164	−	52.4526i	0.396733	−	2.22050i
$559$	−6.53611	+	17.0770i	−0.276448	+	0.722281i
$560$	−13.7335	+	8.40922i	−0.580347	+	0.355354i
$561$	31.1336	−	3.79617i	1.31446	−	0.160274i
$562$	−4.97868	+	12.2426i	−0.210013	+	0.516421i
$563$	1.31825	−	12.5423i	0.0555578	−	0.528597i	−0.930981	−	0.365068i	$-0.881046\pi$
$563$	1.31825	−	12.5423i	0.0555578	−	0.528597i	0.986539	−	0.163529i	$-0.0522877\pi$
$564$	24.1590	+	0.953497i	1.01728	+	0.0401495i
$565$	38.7202	+	34.8638i	1.62897	+	1.46673i
$566$	16.2287	+	4.69341i	0.682144	+	0.197279i
$567$	0.500067	+	0.688283i	0.0210008	+	0.0289052i
$568$	11.6302	−	34.9815i	0.487991	−	1.46779i
$569$	−0.388871	+	0.350141i	−0.0163023	+	0.0146787i	−0.677242	−	0.735761i	$-0.736825\pi$
$569$	−0.388871	+	0.350141i	−0.0163023	+	0.0146787i	0.660939	+	0.750439i	$0.270158\pi$
$570$	10.1538	+	16.3319i	0.425296	+	0.684067i
$571$	−47.2958			−1.97927			−0.989635	−	0.143608i	$-0.954129\pi$
$571$	−47.2958			−1.97927			−0.989635	+	0.143608i	$0.954129\pi$
$572$	0.729407	+	23.9054i	0.0304980	+	0.999535i
$573$	−59.6706			−2.49278
$574$	−3.98179	−	6.40450i	−0.166197	−	0.267319i
$575$	−42.8618	+	38.5929i	−1.78746	+	1.60944i
$576$	3.61501	+	39.5728i	0.150626	+	1.64887i
$577$	2.08429	+	2.86878i	0.0867701	+	0.119429i	0.850195	−	0.526468i	$-0.176484\pi$
$577$	2.08429	+	2.86878i	0.0867701	+	0.119429i	−0.763425	+	0.645896i	$0.776484\pi$
$578$	−7.84618	−	2.26914i	−0.326358	−	0.0943840i
$579$	−21.0429	−	18.9471i	−0.874515	−	0.787417i
$580$	−1.41161	+	35.7664i	−0.0586141	+	1.48512i
$581$	0.992712	−	9.44503i	0.0411846	−	0.391846i
$582$	−21.4068	+	52.6393i	−0.887340	+	2.18197i
$583$	15.6680	−	14.5860i	0.648901	−	0.604092i
$584$	−12.1463	+	5.30907i	−0.502619	+	0.219691i
$585$	61.0611	+	23.3707i	2.52457	+	0.966261i
$586$	3.11631	−	17.4418i	0.128734	−	0.720516i
$587$	−29.8485	−	6.34450i	−1.23198	−	0.261866i	−0.454486	−	0.890754i	$-0.650177\pi$
$587$	−29.8485	−	6.34450i	−1.23198	−	0.261866i	−0.777496	+	0.628888i	$0.783510\pi$
$588$	30.3289	−	12.0938i	1.25074	−	0.498739i
$589$	4.07140	−	9.14451i	0.167759	−	0.376793i
$590$	−24.1110	+	11.6920i	−0.992634	+	0.481353i
$591$	−9.25371	−	43.5353i	−0.380647	−	1.79080i
$592$	−26.3080	+	12.5368i	−1.08125	+	0.515261i
$593$	−15.6312			−0.641895			−0.320948	−	0.947097i	$-0.604001\pi$
$593$	−15.6312			−0.641895			−0.320948	+	0.947097i	$0.604001\pi$
$594$	14.2526	−	21.7983i	0.584791	−	0.894396i
$595$	11.6809	+	6.74399i	0.478871	+	0.276476i
$596$	−27.3307	+	22.7225i	−1.11951	+	0.930749i
$597$	7.71168	−	23.7341i	0.315618	−	0.971372i
$598$	−23.1360	−	26.6845i	−0.946100	−	1.09121i
$599$	−6.66126	−	9.16844i	−0.272172	−	0.374612i	0.650950	−	0.759121i	$-0.274371\pi$
$599$	−6.66126	−	9.16844i	−0.272172	−	0.374612i	−0.923121	+	0.384509i	$0.874371\pi$
$600$	57.7982	−	32.8470i	2.35960	−	1.34097i
$601$	−1.96137	+	9.22750i	−0.0800058	+	0.376398i	−0.999875	−	0.0158283i	$-0.994961\pi$
$601$	−1.96137	+	9.22750i	−0.0800058	+	0.376398i	0.919869	+	0.392226i	$0.128295\pi$
$602$	2.68825	+	7.43839i	0.109565	+	0.303166i
$603$	9.40773	+	6.83511i	0.383112	+	0.278347i
$604$	28.1208	−	28.8566i	1.14422	−	1.17416i
$605$	−9.64932	−	38.9803i	−0.392301	−	1.58478i
$606$	−32.8802	+	4.54492i	−1.33567	+	0.184625i
$607$	1.86462	−	17.7407i	0.0756827	−	0.720073i	−0.889223	−	0.457475i	$-0.848754\pi$
$607$	1.86462	−	17.7407i	0.0756827	−	0.720073i	0.964905	−	0.262598i	$-0.0845793\pi$
$608$	−1.12280	+	7.38027i	−0.0455356	+	0.299310i
$609$	−3.17280	+	14.9268i	−0.128568	+	0.604866i
$610$	−12.4341	+	11.9530i	−0.503441	+	0.483963i
$611$	14.4110	−	5.54802i	0.583006	−	0.224449i
$612$	27.6773	−	18.4863i	1.11879	−	0.747264i
$613$	−2.57607	−	2.86102i	−0.104046	−	0.115555i	0.688872	−	0.724883i	$-0.258106\pi$
$613$	−2.57607	−	2.86102i	−0.104046	−	0.115555i	−0.792919	+	0.609328i	$0.791439\pi$
$614$	−14.1592	−	22.7744i	−0.571419	−	0.919098i
$615$	24.9133	+	43.1510i	1.00460	+	1.74002i
$616$	6.99727	+	7.61971i	0.281928	+	0.307007i
$617$	−14.9092	+	8.60786i	−0.600223	+	0.346539i	−0.769129	−	0.639093i	$-0.779310\pi$
$617$	−14.9092	+	8.60786i	−0.600223	+	0.346539i	0.168906	+	0.985632i	$0.445977\pi$
$618$	−0.723776	−	22.1692i	−0.0291146	−	0.891774i
$619$	4.63249	−	14.2573i	0.186195	−	0.573051i	−0.813771	−	0.581185i	$-0.802589\pi$
$619$	4.63249	−	14.2573i	0.186195	−	0.573051i	0.999967	+	0.00813430i	$0.00258926\pi$
$620$	−49.6654	−	24.5032i	−1.99461	−	0.984073i
$621$	4.02013	+	38.2490i	0.161322	+	1.53488i
$622$	−12.2183	+	3.01693i	−0.489911	+	0.120968i
$623$	−1.04798	−	3.22536i	−0.0419866	−	0.129222i
$624$	19.4467	+	35.7632i	0.778490	+	1.43167i
$625$	−2.18809	−	1.58974i	−0.0875237	−	0.0635897i
$626$	−2.68057	+	6.59151i	−0.107137	+	0.263450i
$627$	9.04238	−	8.41796i	0.361118	−	0.336181i
$628$	26.8929	+	26.2072i	1.07314	+	1.04578i
$629$	19.7474	+	14.3473i	0.787379	+	0.572064i
$630$	26.5970	−	9.61217i	1.05965	−	0.382958i
$631$	14.7398	−	16.3702i	0.586783	−	0.651689i	−0.374508	−	0.927224i	$-0.622188\pi$
$631$	14.7398	−	16.3702i	0.586783	−	0.651689i	0.961291	+	0.275535i	$0.0888550\pi$
$632$	−14.2352	+	24.2728i	−0.566245	+	0.965519i
$633$	3.80146	−	8.53822i	0.151094	−	0.339364i
$634$	1.04853	−	14.5208i	0.0416424	−	0.576696i
$635$	5.64757	−	5.08509i	0.224117	−	0.201796i
$636$	12.6172	−	34.1818i	0.500305	−	1.35540i
$637$	14.7315	−	14.7604i	0.583685	−	0.584827i
$638$	22.7227	−	3.52649i	0.899599	−	0.139615i
$639$	−32.3698	+	56.0662i	−1.28053	+	2.21794i
$640$	40.5555	+	7.81750i	1.60310	+	0.309014i
$641$	−4.39964	+	0.935172i	−0.173775	+	0.0369371i	−0.293977	−	0.955812i	$-0.594979\pi$
$641$	−4.39964	+	0.935172i	−0.173775	+	0.0369371i	0.120202	+	0.992749i	$0.461646\pi$
$642$	45.5202	−	22.0739i	1.79654	−	0.871188i
$643$	−29.7595	−	13.2498i	−1.17360	−	0.522520i	−0.275066	−	0.961425i	$-0.588700\pi$
$643$	−29.7595	−	13.2498i	−1.17360	−	0.522520i	−0.898533	+	0.438905i	$0.855366\pi$
$644$	−15.1182	−	2.19477i	−0.595742	−	0.0864862i
$645$	−16.1484	−	49.6995i	−0.635841	−	1.95692i
$646$	5.88043	−	2.12519i	0.231362	−	0.0836147i
$647$	1.41712	+	3.18291i	0.0557128	+	0.125133i	0.939257	−	0.343215i	$-0.111516\pi$
$647$	1.41712	+	3.18291i	0.0557128	+	0.125133i	−0.883544	+	0.468348i	$0.844849\pi$
$648$	0.242858	−	2.16847i	0.00954037	−	0.0851854i
$649$	10.3483	+	13.7567i	0.406205	+	0.539996i
$650$	25.5968	−	33.8769i	1.00399	−	1.32876i
$651$	−19.1016	−	13.8781i	−0.748650	−	0.543926i
$652$	−12.2050	−	7.70381i	−0.477985	−	0.301705i
$653$	11.8056	+	2.50936i	0.461990	+	0.0981990i	0.433026	−	0.901381i	$-0.357446\pi$
$653$	11.8056	+	2.50936i	0.461990	+	0.0981990i	0.0289640	+	0.999580i	$0.490779\pi$
$654$	9.86388	−	34.1070i	0.385708	−	1.33369i
$655$	−29.4067	−	40.4749i	−1.14902	−	1.58148i
$656$	−3.53153	+	19.0168i	−0.137883	+	0.742482i
$657$	22.7710	−	4.84012i	0.888380	−	0.188831i
$658$	3.14921	−	5.89051i	0.122769	−	0.229636i
$659$	−9.31609	−	16.1359i	−0.362903	−	0.628567i	0.625534	−	0.780197i	$-0.284881\pi$
$659$	−9.31609	−	16.1359i	−0.362903	−	0.628567i	−0.988437	+	0.151630i	$0.951548\pi$
$660$	−44.5642	−	51.8259i	−1.73466	−	2.01732i
$661$	−10.8339	−	6.25494i	−0.421389	−	0.243289i	0.274282	−	0.961649i	$-0.411560\pi$
$661$	−10.8339	−	6.25494i	−0.421389	−	0.243289i	−0.695671	+	0.718360i	$0.744893\pi$
$662$	5.31733	+	2.84278i	0.206664	+	0.110488i
$663$	18.5423	−	28.6138i	0.720123	−	1.11127i
$664$	−18.2120	+	16.1749i	−0.706763	+	0.627709i
$665$	5.28375	−	0.555345i	0.204895	−	0.0215353i
$666$	49.6869	−	12.2686i	1.92533	−	0.475398i
$667$	−22.7212	+	25.2345i	−0.879770	+	0.977083i
$668$	−41.9543	−	1.65584i	−1.62326	−	0.0640662i
$669$	−9.63520	−	1.01270i	−0.372518	−	0.0391532i
$670$	9.54110	−	7.41950i	0.368605	−	0.286640i
$671$	9.07094	+	6.36291i	0.350180	+	0.245637i
$672$	16.4772	+	6.20990i	0.635620	+	0.239552i
$673$	−19.5037	−	43.8061i	−0.751813	−	1.68860i	−0.724795	−	0.688964i	$-0.758066\pi$
$673$	−19.5037	−	43.8061i	−0.751813	−	1.68860i	−0.0270175	−	0.999635i	$-0.508601\pi$
$674$	−7.12538	+	8.45265i	−0.274459	+	0.325584i
$675$	−43.9743	+	14.2881i	−1.69257	+	0.549950i
$676$	20.4468	+	16.0601i	0.786416	+	0.617697i
$677$	28.0984	+	38.6742i	1.07991	+	1.48637i	0.859620	+	0.510934i	$0.170701\pi$
$677$	28.0984	+	38.6742i	1.07991	+	1.48637i	0.220290	+	0.975434i	$0.429299\pi$
$678$	4.10322	−	56.8245i	0.157583	−	2.18233i
$679$	10.5047	+	11.6666i	0.403132	+	0.447723i
$680$	−10.4657	−	32.9726i	−0.401342	−	1.26444i
$681$	37.8444			1.45020
$682$	−9.31499	+	34.3364i	−0.356689	+	1.31481i
$683$	2.78027	+	4.81557i	0.106384	+	0.184263i	0.914303	−	0.405031i	$-0.132739\pi$
$683$	2.78027	+	4.81557i	0.106384	+	0.184263i	−0.807919	+	0.589294i	$0.799406\pi$
$684$	4.53982	−	12.2990i	0.173584	−	0.470265i
$685$	−76.0862	+	16.1726i	−2.90711	+	0.617924i
$686$	1.43592	−	19.8857i	0.0548237	−	0.759241i
$687$	−0.568503	−	5.40895i	−0.0216897	−	0.206364i
$688$	7.76957	−	18.7386i	0.296212	−	0.714403i
$689$	−1.24064	−	23.2382i	−0.0472644	−	0.885306i
$690$	99.3611	+	17.7527i	3.78261	+	0.675835i
$691$	29.7452	−	13.2434i	1.13156	−	0.503804i	0.246438	−	0.969159i	$-0.420740\pi$
$691$	29.7452	−	13.2434i	1.13156	−	0.503804i	0.885124	+	0.465355i	$0.154073\pi$
$692$	11.8352	+	3.00798i	0.449905	+	0.114346i
$693$	−9.34402	−	15.5807i	−0.354950	−	0.591862i
$694$	−9.14200	+	1.26367i	−0.347025	+	0.0479681i
$695$	−53.1900	−	5.59050i	−2.01761	−	0.212060i
$696$	31.8204	−	22.7894i	1.20615	−	0.863828i
$697$	15.4075	−	5.00619i	0.583600	−	0.189623i
$698$	−16.1858	−	4.68099i	−0.612641	−	0.177178i
$699$	2.22363	+	21.1564i	0.0841053	+	0.800209i
$700$	−1.19795	−	18.3270i	−0.0452783	−	0.692694i
$701$	−1.16422	−	0.378279i	−0.0439721	−	0.0142874i	0.286948	−	0.957946i	$-0.407359\pi$
$701$	−1.16422	−	0.378279i	−0.0439721	−	0.0142874i	−0.330920	+	0.943659i	$0.607359\pi$
$702$	−8.24293	−	27.0866i	−0.311109	−	1.02232i
$703$	9.61463			0.362623
$704$	−0.0793649	−	26.5329i	−0.00299118	−	0.999996i
$705$	−22.0660	+	38.2194i	−0.831054	+	1.43943i
$706$	−31.7694	+	1.03720i	−1.19566	+	0.0390357i
$707$	−2.83370	+	8.72124i	−0.106572	+	0.327996i
$708$	26.2766	+	12.9640i	0.987535	+	0.487216i
$709$	−6.55287	+	14.7180i	−0.246098	+	0.552746i	−0.993786	−	0.111304i	$-0.964497\pi$
$709$	−6.55287	+	14.7180i	−0.246098	+	0.552746i	0.747688	+	0.664050i	$0.231164\pi$
$710$	46.6325	+	48.5093i	1.75009	+	1.82052i
$711$	33.0664	−	36.7240i	1.24009	−	1.37726i
$712$	−3.59186	+	7.92180i	−0.134611	+	0.296882i
$713$	−21.3689	−	47.9954i	−0.800272	−	1.79744i
$714$	−2.01943	−	14.6096i	−0.0755752	−	0.546749i
$715$	−39.2396	−	19.1318i	−1.46748	−	0.715488i
$716$	−12.3340	−	43.7629i	−0.460944	−	1.63550i
$717$	−66.8678	+	29.7715i	−2.49722	+	1.11184i
$718$	23.7379	−	28.1597i	0.885892	−	1.05091i
$719$	30.4157	+	27.3865i	1.13432	+	1.02134i	0.999536	+	0.0304672i	$0.00969950\pi$
$719$	30.4157	+	27.3865i	1.13432	+	1.02134i	0.134780	+	0.990876i	$0.456967\pi$
$720$	−67.0024	−	27.7811i	−2.49703	−	1.03534i
$721$	−5.59806	−	2.49242i	−0.208483	−	0.0928225i
$722$	−13.6942	+	20.2034i	−0.509646	+	0.751893i
$723$	3.38178	+	1.09881i	0.125770	+	0.0408651i
$724$	−3.05898	−	17.8211i	−0.113686	−	0.662317i
$725$	−35.3540	−	20.4116i	−1.31301	−	0.758069i
$726$	−27.1700	+	34.4942i	−1.00837	+	1.28020i
$727$			0.181853i			0.00674455i	0.999994	+	0.00337227i	$0.00107343\pi$
$727$			0.181853i			0.00674455i	−0.999994	+	0.00337227i	$0.998927\pi$
$728$	11.2342	−	0.523061i	0.416366	−	0.0193859i
$729$	13.3456	−	41.0734i	0.494280	−	1.52124i
$730$	1.74264	−	24.1334i	0.0644979	−	0.893217i
$731$	−16.8976	+	1.77601i	−0.624980	+	0.0656881i
$732$	18.6638	+	2.70951i	0.689836	+	0.100146i
$733$	10.1880	+	31.3555i	0.376303	+	1.15814i	0.942595	+	0.333938i	$0.108377\pi$
$733$	10.1880	+	31.3555i	0.376303	+	1.15814i	−0.566292	+	0.824205i	$0.691623\pi$
$734$	9.05869	+	25.0654i	0.334362	+	0.925182i
$735$	−6.22976	+	59.2722i	−0.229788	+	2.18629i
$736$	24.8430	+	30.2986i	0.915725	+	1.11682i
$737$	−5.85564	−	5.09888i	−0.215695	−	0.187819i
$738$	12.7960	−	31.4654i	0.471028	−	1.15826i
$739$	5.34528	+	12.0057i	0.196629	+	0.441636i	0.984771	−	0.173857i	$-0.0556232\pi$
$739$	5.34528	+	12.0057i	0.196629	+	0.441636i	−0.788142	+	0.615494i	$0.788957\pi$
$740$	2.09781	−	53.1528i	0.0771172	−	1.95394i
$741$	−0.716001	−	13.4113i	−0.0263030	−	0.492678i
$742$	−6.97601	−	7.25676i	−0.256097	−	0.266404i
$743$	−29.1374	+	3.06247i	−1.06895	+	0.112351i	−0.622624	−	0.782521i	$-0.713934\pi$
$743$	−29.1374	+	3.06247i	−1.06895	+	0.112351i	−0.446323	+	0.894872i	$0.647267\pi$
$744$	12.1867	+	59.3177i	0.446787	+	2.17469i
$745$	−13.4885	−	63.4586i	−0.494182	−	2.32494i
$746$	−12.6098	+	23.5863i	−0.461679	+	0.863556i
$747$	37.0456	−	21.3883i	1.35543	−	0.782556i
$748$	−19.4947	+	10.6694i	−0.712798	+	0.390111i
$749$		−	13.9763i		−	0.510682i
$750$	1.58205	+	48.4579i	0.0577682	+	1.76943i
$751$	−16.0010	+	14.4073i	−0.583883	+	0.525731i	−0.907277	−	0.420534i	$-0.861843\pi$
$751$	−16.0010	+	14.4073i	−0.583883	+	0.525731i	0.323394	+	0.946264i	$0.395176\pi$
$752$	−16.1508	+	5.71286i	−0.588960	+	0.208327i
$753$	−4.84092	+	3.51714i	−0.176413	+	0.128172i
$754$	12.9025	−	21.4107i	0.469883	−	0.779731i
$755$	22.7271	+	69.9468i	0.827123	+	2.54562i
$756$	−10.3564	−	6.53695i	−0.376658	−	0.237747i
$757$	−13.4130	+	5.97187i	−0.487505	+	0.217051i	−0.635743	−	0.771900i	$-0.719306\pi$
$757$	−13.4130	+	5.97187i	−0.487505	+	0.217051i	0.148238	+	0.988952i	$0.452640\pi$
$758$	5.48038	+	7.04749i	0.199057	+	0.255976i
$759$	−1.07715	−	64.8327i	−0.0390982	−	2.35328i
$760$	−10.9691	−	8.08424i	−0.397891	−	0.293246i
$761$	1.68666	−	16.0475i	0.0611413	−	0.581720i	−0.920468	−	0.390818i	$-0.872192\pi$
$761$	1.68666	−	16.0475i	0.0611413	−	0.581720i	0.981609	−	0.190902i	$-0.0611413\pi$
$762$	−8.18022	−	1.46155i	−0.296338	−	0.0529464i
$763$	−7.28931	−	6.56332i	−0.263891	−	0.237608i
$764$	39.2731	−	15.6603i	1.42085	−	0.566570i
$765$	6.35035	+	60.4196i	0.229597	+	2.18447i
$766$	−17.6597	−	36.4174i	−0.638072	−	1.31582i
$767$	18.6892	+	0.961149i	0.674829	+	0.0347051i
$768$	−20.4746	−	40.2541i	−0.738812	−	1.45255i
$769$	7.65774	−	13.2636i	0.276145	−	0.478298i	−0.694278	−	0.719707i	$-0.744276\pi$
$769$	7.65774	−	13.2636i	0.276145	−	0.478298i	0.970423	+	0.241409i	$0.0776096\pi$
$770$	−18.2548	+	4.83054i	−0.657857	+	0.174081i
$771$	4.91326	−	2.83667i	0.176947	−	0.102160i
$772$	18.8223	+	6.94771i	0.677430	+	0.250054i
$773$	−5.63259	−	26.4992i	−0.202590	−	0.953111i	−0.955501	−	0.294989i	$-0.904684\pi$
$773$	−5.63259	−	26.4992i	−0.202590	−	0.953111i	0.752911	−	0.658123i	$-0.228649\pi$
$774$	−19.9881	+	29.4890i	−0.718459	+	1.05996i
$775$	51.0991	−	37.1257i	1.83553	−	1.33359i
$776$	0.274232	−	40.2634i	0.00984434	−	1.44537i
$777$	4.71513	−	22.1829i	0.169154	−	0.795808i
$778$	−13.4834	−	11.3662i	−0.483404	−	0.407498i
$779$	3.75081	−	5.16255i	0.134387	−	0.184968i
$780$	−74.2985	+	1.03207i	−2.66031	+	0.0369539i
$781$	24.8237	−	35.3886i	0.888264	−	1.26631i
$782$	12.3627	−	30.3998i	0.442088	−	1.08709i
$783$	−24.8684	+	11.0721i	−0.888723	+	0.395685i
$784$	−16.7874	+	15.9194i	−0.599552	+	0.568550i
$785$	−65.1868	+	21.1805i	−2.32662	+	0.755964i
$786$	−15.1981	+	52.5517i	−0.542100	+	1.87446i
$787$	7.06439	−	15.8669i	0.251818	−	0.565594i	−0.742763	−	0.669555i	$-0.766485\pi$
$787$	7.06439	−	15.8669i	0.251818	−	0.565594i	0.994581	+	0.103961i	$0.0331517\pi$
$788$	17.5161	+	26.2248i	0.623986	+	0.934219i
$789$	−0.797938	−	3.75401i	−0.0284074	−	0.133646i
$790$	−27.1191	−	43.6197i	−0.964854	−	1.55192i
$791$	−13.6308	−	7.86977i	−0.484657	−	0.279817i
$792$	−9.24073	+	45.6710i	−0.328355	+	1.62285i
$793$	11.6319	−	3.12893i	0.413059	−	0.111112i
$794$	−10.5963	+	19.8201i	−0.376050	+	0.703390i
$795$	44.5021	+	49.4245i	1.57833	+	1.75291i
$796$	1.15336	+	17.6448i	0.0408799	+	0.625405i
$797$	49.9447	+	22.2368i	1.76913	+	0.787668i	0.986199	+	0.165562i	$0.0529438\pi$
$797$	49.9447	+	22.2368i	1.76913	+	0.787668i	0.782933	+	0.622106i	$0.213723\pi$
$798$	−4.02603	−	4.18806i	−0.142520	−	0.148256i
$799$	10.6633	+	9.60128i	0.377240	+	0.339669i
$800$	−29.4202	+	36.7876i	−1.04016	+	1.30064i
$801$	8.97858	−	12.3580i	0.317243	−	0.436647i
$802$	−11.0889	+	8.62315i	−0.391564	+	0.304494i
$803$	−15.4297	+	1.88137i	−0.544502	+	0.0663920i
$804$	−12.8087	−	3.25542i	−0.451729	−	0.114810i
$805$	16.3903	−	22.5592i	0.577680	−	0.795109i
$806$	22.1431	+	31.7109i	0.779958	+	1.11697i
$807$	−52.1907	+	16.9578i	−1.83720	+	0.596943i
$808$	20.4478	−	11.6206i	0.719352	−	0.408811i
$809$	1.51632	−	0.159372i	0.0533111	−	0.00560322i	−0.0778353	−	0.996966i	$-0.524801\pi$
$809$	1.51632	−	0.159372i	0.0533111	−	0.00560322i	0.131146	+	0.991363i	$0.458134\pi$
$810$	3.29689	+	2.23469i	0.115841	+	0.0785188i
$811$	17.2750	+	5.61299i	0.606607	+	0.197099i	0.596185	−	0.802847i	$-0.296682\pi$
$811$	17.2750	+	5.61299i	0.606607	+	0.197099i	0.0104223	+	0.999946i	$0.496682\pi$
$812$	−1.82927	−	10.6570i	−0.0641946	−	0.373988i
$813$	31.4249	+	54.4295i	1.10212	+	1.90893i
$814$	−33.7684	+	5.24076i	−1.18358	+	0.183688i
$815$	22.8152	−	13.1724i	0.799181	−	0.461407i
$816$	−21.4363	+	31.1663i	−0.750420	+	1.09104i
$817$	−4.97354	+	4.47819i	−0.174002	+	0.156672i
$818$	16.0283	+	33.0531i	0.560415	+	1.15567i
$819$	−19.5103	−	3.07059i	−0.681747	−	0.107295i
$820$	−27.7218	−	21.8621i	−0.968089	−	0.763458i
$821$	−19.8648	−	4.22240i	−0.693287	−	0.147363i	−0.152226	−	0.988346i	$-0.548644\pi$
$821$	−19.8648	−	4.22240i	−0.693287	−	0.147363i	−0.541061	+	0.840983i	$0.681977\pi$
$822$	65.0320	+	54.8204i	2.26825	+	1.91208i
$823$	−23.7004	−	2.49101i	−0.826144	−	0.0868313i	−0.317987	−	0.948095i	$-0.603007\pi$
$823$	−23.7004	−	2.49101i	−0.826144	−	0.0868313i	−0.508158	+	0.861264i	$0.669673\pi$
$824$	6.29457	+	14.4010i	0.219282	+	0.501683i
$825$	75.9712	−	17.4721i	2.64498	−	0.608300i
$826$	6.39004	−	4.96913i	0.222338	−	0.172898i
$827$	−11.0368	+	15.1908i	−0.383786	+	0.528236i	−0.956583	−	0.291462i	$-0.905858\pi$
$827$	−11.0368	+	15.1908i	−0.383786	+	0.528236i	0.572797	+	0.819698i	$0.305858\pi$
$828$	−32.0278	−	60.9010i	−1.11304	−	2.11645i
$829$	−28.3645	−	6.02905i	−0.985139	−	0.209398i	−0.312944	−	0.949772i	$-0.601315\pi$
$829$	−28.3645	−	6.02905i	−0.985139	−	0.209398i	−0.672195	+	0.740374i	$0.734648\pi$
$830$	−10.6580	−	43.1643i	−0.369946	−	1.49826i
$831$	−18.8739	+	13.7127i	−0.654729	+	0.475688i
$832$	−22.1850	−	18.4344i	−0.769127	−	0.639096i
$833$	18.4292	+	5.98802i	0.638535	+	0.207473i
$834$	30.8777	+	49.6651i	1.06921	+	1.71976i
$835$	38.3197	−	66.3716i	1.32611	−	2.29688i
$836$	−3.74212	+	7.91354i	−0.129424	+	0.273695i
$837$		−	42.1177i		−	1.45580i
$838$	2.16574	−	0.0707068i	0.0748142	−	0.00244253i
$839$	−32.1608	+	6.83599i	−1.11031	+	0.236005i	−0.726338	−	0.687338i	$-0.758779\pi$
$839$	−32.1608	+	6.83599i	−1.11031	+	0.236005i	−0.383977	+	0.923343i	$0.625446\pi$
$840$	−24.0314	+	21.3434i	−0.829161	+	0.736416i
$841$	4.53636	+	2.01972i	0.156426	+	0.0696454i
$842$	21.8830	−	5.40330i	0.754137	−	0.186210i
$843$	−5.48432	+	25.8017i	−0.188890	+	0.888658i
$844$	−0.261166	+	6.61723i	−0.00898971	+	0.227774i
$845$	−43.3173	+	19.3877i	−1.49016	+	0.666956i
$846$	29.8023	−	4.11947i	1.02463	−	0.141630i
$847$	5.29943	+	10.9120i	0.182091	+	0.374940i
$848$	0.666667	+	25.8086i	0.0228935	+	0.886271i
$849$	33.5335	+	3.52451i	1.15087	+	0.120961i
$850$	38.8390	+	6.93931i	1.33217	+	0.238016i
$851$	33.7662	−	37.5012i	1.15749	−	1.28552i
$852$	10.5707	−	72.8136i	0.362145	−	2.49455i
$853$	−36.0828	+	26.2157i	−1.23545	+	0.897609i	−0.997287	−	0.0736161i	$-0.976546\pi$
$853$	−36.0828	+	26.2157i	−1.23545	+	0.897609i	−0.238165	+	0.971225i	$0.576546\pi$
$854$	2.92332	−	4.31285i	0.100034	−	0.147583i
$855$	16.0124	+	17.7835i	0.547611	+	0.608184i
$856$	−24.1666	+	26.4749i	−0.825997	+	0.904892i
$857$		−	48.7477i		−	1.66519i	−0.553882	−	0.832595i	$-0.686854\pi$
$857$		−	48.7477i		−	1.66519i	0.553882	−	0.832595i	$-0.313146\pi$
$858$	9.82500	+	46.7128i	0.335420	+	1.59475i
$859$		−	23.3528i		−	0.796788i	−0.917214	−	0.398394i	$-0.869568\pi$
$859$		−	23.3528i		−	0.796788i	0.917214	−	0.398394i	$-0.130432\pi$
$860$	23.6717	+	28.4724i	0.807199	+	0.970901i
$861$	−10.0716	−	11.1857i	−0.343240	−	0.381206i
$862$	−41.4716	−	28.1101i	−1.41253	−	0.957435i
$863$	−19.3862	+	14.0849i	−0.659913	+	0.479455i	−0.866634	−	0.498945i	$-0.833721\pi$
$863$	−19.3862	+	14.0849i	−0.659913	+	0.479455i	0.206720	+	0.978400i	$0.433721\pi$
$864$	8.31464	+	30.2901i	0.282870	+	1.03049i
$865$	−14.9147	+	16.5645i	−0.507115	+	0.563208i
$866$	4.00708	−	22.4274i	0.136166	−	0.762115i
$867$	−16.2126	−	1.70401i	−0.550608	−	0.0578713i
$868$	16.2142	+	4.12095i	0.550347	+	0.139874i
$869$	−24.1507	+	22.4829i	−0.819255	+	0.762681i
$870$	9.78211	+	70.7687i	0.331645	+	2.39928i
$871$	−8.33566	+	1.32859i	−0.282443	+	0.0450175i
$872$	2.45919	+	25.0368i	0.0832785	+	0.847852i
$873$	−14.7017	+	69.1659i	−0.497576	+	2.34091i
$874$	−3.09876	−	12.5497i	−0.104817	−	0.424501i
$875$	12.2364	+	5.44799i	0.413665	+	0.184176i
$876$	−22.0012	+	14.6951i	−0.743351	+	0.496501i
$877$	−14.5206	+	3.08644i	−0.490324	+	0.104222i	−0.446437	−	0.894815i	$-0.647307\pi$
$877$	−14.5206	+	3.08644i	−0.490324	+	0.104222i	−0.0438868	+	0.999037i	$0.513974\pi$
$878$	−0.210998	−	6.46284i	−0.00712084	−	0.218110i
$879$		−	35.3634i		−	1.19278i
$880$	42.9321	+	22.4143i	1.44724	+	0.755585i
$881$	10.8270	−	18.7530i	0.364772	−	0.631804i	−0.623967	−	0.781450i	$-0.714480\pi$
$881$	10.8270	−	18.7530i	0.364772	−	0.631804i	0.988740	+	0.149646i	$0.0478135\pi$
$882$	34.5047	−	21.4521i	1.16183	−	0.722331i
$883$	−9.67014	−	3.14202i	−0.325426	−	0.105737i	0.141748	−	0.989903i	$-0.454728\pi$
$883$	−9.67014	−	3.14202i	−0.325426	−	0.105737i	−0.467174	+	0.884165i	$0.654728\pi$
$884$	−4.69431	+	23.6990i	−0.157887	+	0.797082i
$885$	−43.2684	+	31.4363i	−1.45445	+	1.05672i
$886$	−40.3999	+	9.97545i	−1.35726	+	0.335132i
$887$	−29.9683	−	6.36996i	−1.00624	−	0.213882i	−0.324819	−	0.945776i	$-0.605303\pi$
$887$	−29.9683	−	6.36996i	−1.00624	−	0.213882i	−0.681419	+	0.731894i	$0.738637\pi$
$888$	−47.2885	+	33.8675i	−1.58690	+	1.13652i
$889$	−1.34938	+	1.85726i	−0.0452568	+	0.0622906i
$890$	−9.74624	−	12.5332i	−0.326695	−	0.420112i
$891$	1.00172	−	2.35441i	0.0335590	−	0.0788756i
$892$	6.60732	−	1.86219i	0.221230	−	0.0623509i
$893$	5.62100	+	0.590791i	0.188100	+	0.0197701i
$894$	−45.7221	+	54.2390i	−1.52918	+	1.81402i
$895$	81.1793	+	17.2552i	2.71352	+	0.576777i
$896$	−12.4744	+	0.237226i	−0.416742	+	0.00792516i
$897$	−54.8246	−	44.3074i	−1.83054	−	1.47938i
$898$	26.2436	−	12.7262i	0.875762	−	0.424679i
$899$	27.6346	−	24.8823i	0.921667	−	0.829872i
$900$	63.6113	−	52.8859i	2.12038	−	1.76286i
$901$	18.7268	−	10.8119i	0.623881	−	0.360198i
$902$	−10.3595	+	20.1763i	−0.344935	+	0.671798i
$903$	7.89303	+	13.6711i	0.262664	+	0.454947i
$904$	12.2128	+	38.4768i	0.406191	+	1.27972i
$905$	31.3895	+	10.1991i	1.04342	+	0.339028i
$906$	45.1213	−	66.5686i	1.49906	−	2.21159i
$907$	−2.62332	+	0.275722i	−0.0871058	+	0.00915519i	−0.147981	−	0.988990i	$-0.547277\pi$
$907$	−2.62332	+	0.275722i	−0.0871058	+	0.00915519i	0.0608753	+	0.998145i	$0.480611\pi$
$908$	−24.9078	+	9.93210i	−0.826595	+	0.329608i
$909$	−39.2821	+	12.7635i	−1.30291	+	0.423340i
$910$	−8.69960	+	18.5935i	−0.288389	+	0.616370i
$911$	−18.2053	+	25.0575i	−0.603170	+	0.830192i	−0.995994	−	0.0894217i	$-0.971498\pi$
$911$	−18.2053	+	25.0575i	−0.603170	+	0.830192i	0.392824	+	0.919614i	$0.371498\pi$
$912$	0.384750	+	14.8948i	0.0127404	+	0.493215i
$913$	−25.8962	+	12.0491i	−0.857039	+	0.398767i
$914$	19.3035	+	24.8233i	0.638503	+	0.821082i
$915$	−20.2342	+	27.8500i	−0.668922	+	0.920692i
$916$	1.79372	+	3.41078i	0.0592663	+	0.112695i
$917$	11.2313	+	10.1127i	0.370889	+	0.333950i
$918$	18.9664	−	18.2326i	0.625984	−	0.601765i
$919$	−5.23633	−	2.33136i	−0.172731	−	0.0769046i	0.318550	−	0.947906i	$-0.396804\pi$
$919$	−5.23633	−	2.33136i	−0.172731	−	0.0769046i	−0.491280	+	0.871002i	$0.663471\pi$
$920$	−70.0551	+	14.3927i	−2.30965	+	0.474513i
$921$	−35.8146	−	39.7761i	−1.18013	−	1.31067i
$922$	−38.3613	−	20.5089i	−1.26336	−	0.675425i
$923$	−12.2070	−	45.3796i	−0.401797	−	1.49369i
$924$	16.4230	+	12.5147i	0.540276	+	0.411704i
$925$	52.5399	+	30.3339i	1.72750	+	0.997373i
$926$	16.5207	−	10.2712i	0.542904	−	0.337533i
$927$	−5.73856	−	26.9978i	−0.188479	−	0.886724i
$928$	−14.9621	+	23.3503i	−0.491154	+	0.766510i
$929$	2.46166	−	5.52898i	0.0807645	−	0.181400i	−0.868650	−	0.495427i	$-0.835012\pi$
$929$	2.46166	−	5.52898i	0.0807645	−	0.181400i	0.949414	+	0.314027i	$0.101678\pi$
$930$	−106.183	−	30.7087i	−3.48189	−	1.00698i
$931$	7.25920	−	2.35866i	0.237911	−	0.0773019i
$932$	−7.01592	−	13.3408i	−0.229814	−	0.436993i
$933$	−22.9473	+	10.2168i	−0.751261	+	0.334483i
$934$	−34.7675	−	14.1389i	−1.13763	−	0.462638i
$935$	−0.673864	−	40.5591i	−0.0220377	−	1.32642i
$936$	31.6485	+	39.5522i	1.03446	+	1.29280i
$937$	−18.4409	+	25.3817i	−0.602439	+	0.829186i	−0.995929	−	0.0901433i	$-0.971268\pi$
$937$	−18.4409	+	25.3817i	−0.602439	+	0.829186i	0.393490	+	0.919329i	$0.371268\pi$
$938$	−2.35323	+	2.79158i	−0.0768358	+	0.0911483i
$939$	−2.95281	+	13.8919i	−0.0963614	+	0.453345i
$940$	4.49253	−	30.9458i	0.146530	−	1.00934i
$941$	16.9017	−	12.2798i	0.550981	−	0.400311i	−0.277166	−	0.960822i	$-0.589395\pi$
$941$	16.9017	−	12.2798i	0.550981	−	0.400311i	0.828147	+	0.560511i	$0.189395\pi$
$942$	62.0385	+	42.0508i	2.02132	+	1.37009i
$943$	−6.96345	−	32.7605i	−0.226761	−	1.06683i
$944$	−20.6967	−	1.63624i	−0.673619	−	0.0532552i
$945$	19.3595	−	11.1772i	0.629764	−	0.363594i
$946$	15.0270	−	18.4392i	0.488570	−	0.599511i
$947$	−11.9848	+	20.7583i	−0.389454	+	0.674554i	−0.992376	−	0.123246i	$-0.960669\pi$
$947$	−11.9848	+	20.7583i	−0.389454	+	0.674554i	0.602922	+	0.797800i	$0.294003\pi$
$948$	−19.4482	+	52.6879i	−0.631648	+	1.71122i
$949$	−9.18950	+	14.1809i	−0.298304	+	0.460332i
$950$	13.9834	−	6.78090i	0.453681	−	0.220001i
$951$	−3.03734	−	28.8983i	−0.0984924	−	0.937093i
$952$	5.16334	+	9.08551i	0.167345	+	0.294463i
$953$	−4.44700	−	4.00410i	−0.144053	−	0.129706i	0.593954	−	0.804499i	$-0.297566\pi$
$953$	−4.44700	−	4.00410i	−0.144053	−	0.129706i	−0.738007	+	0.674793i	$0.764233\pi$
$954$	7.97445	−	44.6326i	0.258182	−	1.44503i
$955$	−8.06696	+	76.7520i	−0.261041	+	2.48364i
$956$	36.1966	−	37.1437i	1.17068	−	1.20131i
$957$	43.4071	−	14.9055i	1.40315	−	0.481825i
$958$	33.4802	−	26.0354i	1.08169	−	0.841165i
$959$	21.4664	−	9.55746i	0.693187	−	0.308627i
$960$	82.4270	+	1.12286i	2.66032	+	0.0362402i
$961$	8.19961	+	25.2358i	0.264504	+	0.814058i
$962$	−19.1746	+	31.8186i	−0.618214	+	1.02587i
$963$	50.9291	−	37.0022i	1.64117	−	1.19238i
$964$	−2.51414	+	0.164338i	−0.0809751	+	0.00529298i
$965$	−27.2158	+	24.5052i	−0.876107	+	0.788850i
$966$	−30.4745	+	0.994928i	−0.980500	+	0.0320113i
$967$		−	30.2624i		−	0.973172i	−0.873633	−	0.486586i	$-0.838242\pi$
$967$		−	30.2624i		−	0.973172i	0.873633	−	0.486586i	$-0.161758\pi$
$968$	8.82948	−	29.8335i	0.283790	−	0.958886i
$969$	10.8077	−	6.23984i	0.347194	−	0.200452i
$970$	64.8138	+	34.6511i	2.08105	+	1.11258i
$971$	1.25297	+	5.89474i	0.0402096	+	0.189171i	0.993668	−	0.112352i	$-0.0358383\pi$
$971$	1.25297	+	5.89474i	0.0402096	+	0.189171i	−0.953459	+	0.301523i	$0.902505\pi$
$972$	1.88901	+	28.8992i	0.0605900	+	0.926942i
$973$	16.0679	−	1.68880i	0.515112	−	0.0541404i
$974$	−17.1760	+	16.5115i	−0.550354	+	0.529061i
$975$	38.3998	−	75.5463i	1.22978	−	2.41942i
$976$	−12.9950	+	3.11495i	−0.415959	+	0.0997071i
$977$	−6.08412	−	13.6651i	−0.194648	−	0.437187i	0.789683	−	0.613515i	$-0.210245\pi$
$977$	−6.08412	−	13.6651i	−0.194648	−	0.437187i	−0.984332	+	0.176328i	$0.943578\pi$
$978$	−26.6846	−	10.8518i	−0.853278	−	0.347002i
$979$	−6.69787	+	7.69195i	−0.214065	+	0.245836i
$980$	−11.4555	−	40.6458i	−0.365934	−	1.29838i
$981$	4.61811	−	43.9384i	0.147445	−	1.40284i
$982$	−56.5904	+	20.4518i	−1.80587	+	0.652644i
$983$	−1.27550	−	3.92557i	−0.0406820	−	0.125206i	0.928653	−	0.370950i	$-0.120968\pi$
$983$	−1.27550	−	3.92557i	−0.0406820	−	0.125206i	−0.969335	+	0.245744i	$0.920968\pi$
$984$	−0.262927	+	38.6036i	−0.00838181	+	1.23064i
$985$	−57.2487	+	6.01708i	−1.82409	+	0.191720i
$986$	23.1679	+	1.67292i	0.737816	+	0.0532766i
$987$	4.11968	−	12.6791i	0.131131	−	0.403579i
$988$	3.99100	+	8.63896i	0.126971	+	0.274842i
$989$			35.1262i			1.11695i
$990$	−65.9318	−	53.7310i	−2.09545	−	1.70768i
$991$	−12.0166	−	6.93781i	−0.381721	−	0.220387i	0.296846	−	0.954925i	$-0.404065\pi$
$991$	−12.0166	−	6.93781i	−0.381721	−	0.220387i	−0.678567	+	0.734539i	$0.737399\pi$
$992$	−23.5886	−	35.8425i	−0.748938	−	1.13800i
$993$	11.4453	+	3.71881i	0.363206	+	0.118013i
$994$	−16.8258	−	11.4048i	−0.533683	−	0.361739i
$995$	−29.4857	−	13.1279i	−0.934759	−	0.416181i
$996$	−30.1045	+	38.1734i	−0.953897	+	1.20957i
$997$	39.8051	+	35.8407i	1.26064	+	1.13509i	0.984764	+	0.173893i	$0.0556348\pi$
$997$	39.8051	+	35.8407i	1.26064	+	1.13509i	0.275877	+	0.961193i	$0.411032\pi$
$998$	3.82852	+	3.22735i	0.121190	+	0.102160i
$999$	36.9571	−	16.4544i	1.16927	−	0.520593i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bn.a.95.16	yes	640
4.3	odd	2	inner	572.2.bn.a.95.8	✓	640
11.8	odd	10	inner	572.2.bn.a.459.33	yes	640
13.10	even	6	inner	572.2.bn.a.491.43	yes	640
44.19	even	10	inner	572.2.bn.a.459.43	yes	640
52.23	odd	6	inner	572.2.bn.a.491.33	yes	640
143.140	odd	30	inner	572.2.bn.a.283.8	yes	640
572.283	even	30	inner	572.2.bn.a.283.16	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bn.a.95.8	✓	640	4.3	odd	2	inner
572.2.bn.a.95.16	yes	640	1.1	even	1	trivial
572.2.bn.a.283.8	yes	640	143.140	odd	30	inner
572.2.bn.a.283.16	yes	640	572.283	even	30	inner
572.2.bn.a.459.33	yes	640	11.8	odd	10	inner
572.2.bn.a.459.43	yes	640	44.19	even	10	inner
572.2.bn.a.491.33	yes	640	52.23	odd	6	inner
572.2.bn.a.491.43	yes	640	13.10	even	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:	\( N \)	\(=\)	\( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	572.bn (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.20102 + 0.746694i) q^{2} +(-2.09762 + 1.88870i) q^{3} +(0.884895 - 1.79359i) q^{4} +(2.14578 + 2.95342i) q^{5} +(1.10900 - 3.83465i) q^{6} +(-0.819536 - 0.737914i) q^{7} +(0.276486 + 2.81488i) q^{8} +(0.519214 - 4.93999i) q^{9} +O(q^{10})\)	\(q+(-1.20102 + 0.746694i) q^{2} +(-2.09762 + 1.88870i) q^{3} +(0.884895 - 1.79359i) q^{4} +(2.14578 + 2.95342i) q^{5} +(1.10900 - 3.83465i) q^{6} +(-0.819536 - 0.737914i) q^{7} +(0.276486 + 2.81488i) q^{8} +(0.519214 - 4.93999i) q^{9} +(-4.78243 - 1.94487i) q^{10} +(-0.635578 + 3.25516i) q^{11} +(1.53138 + 5.43357i) q^{12} +(2.27178 + 2.79982i) q^{13} +(1.53528 + 0.274306i) q^{14} +(-10.0792 - 2.14239i) q^{15} +(-2.43392 - 3.17428i) q^{16} +(-1.36269 + 3.06066i) q^{17} +(3.06507 + 6.32071i) q^{18} +(0.274375 + 1.29083i) q^{19} +(7.19601 - 1.23519i) q^{20} +3.11277 q^{21} +(-1.66727 - 4.38409i) q^{22} +(5.99840 + 3.46318i) q^{23} +(-5.89644 - 5.38234i) q^{24} +(-2.57320 + 7.91950i) q^{25} +(-4.81907 - 1.66631i) q^{26} +(3.26377 + 4.49219i) q^{27} +(-2.04872 + 0.816935i) q^{28} +(-1.01928 + 4.79535i) q^{29} +(13.7050 - 4.95300i) q^{30} +(-6.13651 - 4.45844i) q^{31} +(5.29340 + 1.99497i) q^{32} +(-4.81482 - 8.02849i) q^{33} +(-0.648755 - 4.69342i) q^{34} +(0.420820 - 4.00384i) q^{35} +(-8.40086 - 5.30263i) q^{36} +(1.51477 - 7.12642i) q^{37} +(-1.29339 - 1.34544i) q^{38} +(-10.0534 - 1.58223i) q^{39} +(-7.72024 + 6.85670i) q^{40} +(-3.23558 - 3.59347i) q^{41} +(-3.73850 + 2.32429i) q^{42} +(2.53569 + 4.39194i) q^{43} +(5.27599 + 4.02044i) q^{44} +(15.7040 - 9.06669i) q^{45} +(-9.79013 + 0.319627i) q^{46} +(1.32348 - 4.07324i) q^{47} +(11.1007 + 2.06146i) q^{48} +(-0.604576 - 5.75216i) q^{49} +(-2.82298 - 11.4329i) q^{50} +(-2.92227 - 8.99381i) q^{51} +(7.03202 - 1.59710i) q^{52} +(-5.22164 - 3.79374i) q^{53} +(-7.27415 - 2.95817i) q^{54} +(-10.9776 + 5.10773i) q^{55} +(1.85055 - 2.51092i) q^{56} +(-3.01354 - 2.18946i) q^{57} +(-2.35648 - 6.52040i) q^{58} +(3.47300 - 3.85715i) q^{59} +(-12.7616 + 16.1821i) q^{60} +(1.35882 - 3.05195i) q^{61} +(10.6992 + 0.772571i) q^{62} +(-4.07080 + 3.66536i) q^{63} +(-7.84711 + 1.55655i) q^{64} +(-3.39428 + 12.7173i) q^{65} +(11.7775 + 6.04717i) q^{66} +(-1.17054 + 2.02743i) q^{67} +(4.28372 + 5.15247i) q^{68} +(-19.1233 + 4.06478i) q^{69} +(2.48423 + 5.12291i) q^{70} +(-11.9066 - 5.30118i) q^{71} +(14.0490 + 0.0956871i) q^{72} +(1.44826 + 4.45730i) q^{73} +(3.50199 + 9.69003i) q^{74} +(-9.56000 - 21.4721i) q^{75} +(2.55802 + 0.650136i) q^{76} +(2.92290 - 2.19872i) q^{77} +(13.2557 - 5.60650i) q^{78} +(8.04864 + 5.84768i) q^{79} +(4.15230 - 13.9997i) q^{80} +(-0.754603 - 0.160396i) q^{81} +(6.56921 + 1.89984i) q^{82} +(5.06189 + 6.96709i) q^{83} +(2.75448 - 5.58304i) q^{84} +(-11.9634 + 2.54291i) q^{85} +(-6.32485 - 3.38142i) q^{86} +(-6.91893 - 11.9839i) q^{87} +(-9.33861 - 0.889071i) q^{88} +(2.66323 + 1.53762i) q^{89} +(-12.0907 + 22.6153i) q^{90} +(0.204217 - 3.97094i) q^{91} +(11.5195 - 7.69412i) q^{92} +(21.2927 - 2.23796i) q^{93} +(1.45194 + 5.88027i) q^{94} +(-3.22362 + 3.58019i) q^{95} +(-14.8714 + 5.81297i) q^{96} +(-14.1576 - 1.48803i) q^{97} +(5.02121 + 6.45702i) q^{98} +(15.7504 + 4.82987i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9}+O(q^{10}) \) 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9	\( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9} - 4 q^{12} - 20 q^{13} - 12 q^{14} - 19 q^{16} - 10 q^{17} - 45 q^{20} - 15 q^{22} - 15 q^{24} + 104 q^{25} - 20 q^{26} - 15 q^{28} - 10 q^{29} + 45 q^{30} - 24 q^{33} + 4 q^{36} - 18 q^{37} - 14 q^{38} - 20 q^{40} - 30 q^{41} - 13 q^{42} - 108 q^{45} - 15 q^{46} + 35 q^{48} - 74 q^{49} - 90 q^{50} + 15 q^{52} - 8 q^{53} + 50 q^{56} + 27 q^{58} - 10 q^{61} - 5 q^{62} - 84 q^{64} - 146 q^{66} - 70 q^{68} - 26 q^{69} - 15 q^{72} - 55 q^{74} + 44 q^{77} + 24 q^{78} - 39 q^{80} + 30 q^{81} - 29 q^{82} + 30 q^{84} - 30 q^{85} - 75 q^{88} - 24 q^{89} + 30 q^{90} + 14 q^{92} + 66 q^{93} - 5 q^{94} - 30 q^{97}+O(q^{100}) \) 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9 - 4 * q^12 - 20 * q^13 - 12 * q^14 - 19 * q^16 - 10 * q^17 - 45 * q^20 - 15 * q^22 - 15 * q^24 + 104 * q^25 - 20 * q^26 - 15 * q^28 - 10 * q^29 + 45 * q^30 - 24 * q^33 + 4 * q^36 - 18 * q^37 - 14 * q^38 - 20 * q^40 - 30 * q^41 - 13 * q^42 - 108 * q^45 - 15 * q^46 + 35 * q^48 - 74 * q^49 - 90 * q^50 + 15 * q^52 - 8 * q^53 + 50 * q^56 + 27 * q^58 - 10 * q^61 - 5 * q^62 - 84 * q^64 - 146 * q^66 - 70 * q^68 - 26 * q^69 - 15 * q^72 - 55 * q^74 + 44 * q^77 + 24 * q^78 - 39 * q^80 + 30 * q^81 - 29 * q^82 + 30 * q^84 - 30 * q^85 - 75 * q^88 - 24 * q^89 + 30 * q^90 + 14 * q^92 + 66 * q^93 - 5 * q^94 - 30 * q^97

Introduction

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