LMFDB - Embedded newform 285.2.bf.c.269.24

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [285,2,Mod(14,285)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(285, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 9, 7]))

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

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

chi := DirichletCharacter("285.14");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 285 = 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	285.bf (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.27573645761$
Analytic rank:	$0$
Dimension:	$192$
Relative dimension:	$32$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			269.24
Character	$\chi$	$=$	285.269
Dual form			285.2.bf.c.89.24

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.928835 - 1.10694i) q^{2} +(1.07319 - 1.35950i) q^{3} +(-0.0152910 - 0.0867194i) q^{4} +(0.0427436 + 2.23566i) q^{5} +(-0.508073 - 2.45072i) q^{6} +(1.83718 - 1.06069i) q^{7} +(2.39264 + 1.38139i) q^{8} +(-0.696507 - 2.91803i) q^{9} +O(q^{10})$	\(q+(0.928835 - 1.10694i) q^{2} +(1.07319 - 1.35950i) q^{3} +(-0.0152910 - 0.0867194i) q^{4} +(0.0427436 + 2.23566i) q^{5} +(-0.508073 - 2.45072i) q^{6} +(1.83718 - 1.06069i) q^{7} +(2.39264 + 1.38139i) q^{8} +(-0.696507 - 2.91803i) q^{9} +(2.51445 + 2.02924i) q^{10} +(-3.86745 - 2.23287i) q^{11} +(-0.134306 - 0.0722786i) q^{12} +(0.689489 + 0.250954i) q^{13} +(0.532306 - 3.01886i) q^{14} +(3.08526 + 2.34119i) q^{15} +(3.91698 - 1.42566i) q^{16} +(-0.461591 - 0.387321i) q^{17} +(-3.87703 - 1.93937i) q^{18} +(-3.57936 + 2.48761i) q^{19} +(0.193221 - 0.0378921i) q^{20} +(0.529628 - 3.63598i) q^{21} +(-6.06389 + 2.20707i) q^{22} +(0.625480 + 3.54728i) q^{23} +(4.44577 - 1.77030i) q^{24} +(-4.99635 + 0.191120i) q^{25} +(0.918213 - 0.530131i) q^{26} +(-4.71456 - 2.18471i) q^{27} +(-0.120075 - 0.143100i) q^{28} +(2.26382 - 1.89957i) q^{29} +(5.45726 - 1.24063i) q^{30} +(-1.03231 + 0.596006i) q^{31} +(0.170247 - 0.467750i) q^{32} +(-7.18613 + 2.86151i) q^{33} +(-0.857485 + 0.151198i) q^{34} +(2.44988 + 4.06196i) q^{35} +(-0.242399 + 0.105020i) q^{36} -11.4734 q^{37} +(-0.570998 + 6.27272i) q^{38} +(1.08113 - 0.668042i) q^{39} +(-2.98605 + 5.40817i) q^{40} +(-9.15825 + 3.33333i) q^{41} +(-3.53288 - 3.96349i) q^{42} +(10.1823 + 1.79541i) q^{43} +(-0.134496 + 0.369526i) q^{44} +(6.49394 - 1.68188i) q^{45} +(4.50760 + 2.60246i) q^{46} +(4.71553 - 3.95680i) q^{47} +(2.26548 - 6.85516i) q^{48} +(-1.24986 + 2.16482i) q^{49} +(-4.42922 + 5.70819i) q^{50} +(-1.02194 + 0.211865i) q^{51} +(0.0112196 - 0.0636294i) q^{52} +(9.54074 - 1.68229i) q^{53} +(-6.79739 + 3.18951i) q^{54} +(4.82664 - 8.74174i) q^{55} +5.86092 q^{56} +(-0.459437 + 7.53584i) q^{57} -4.27030i q^{58} +(6.54650 + 5.49316i) q^{59} +(0.155850 - 0.303351i) q^{60} +(-1.77149 - 10.0466i) q^{61} +(-0.299104 + 1.69630i) q^{62} +(-4.37474 - 4.62215i) q^{63} +(3.80872 + 6.59689i) q^{64} +(-0.531575 + 1.55219i) q^{65} +(-3.50720 + 10.6125i) q^{66} +(4.62508 - 3.88090i) q^{67} +(-0.0265301 + 0.0459514i) q^{68} +(5.49380 + 2.95657i) q^{69} +(6.77189 + 1.06102i) q^{70} +(-1.01973 + 5.78315i) q^{71} +(2.36444 - 7.94392i) q^{72} +(0.863785 + 2.37323i) q^{73} +(-10.6569 + 12.7004i) q^{74} +(-5.10222 + 6.99767i) q^{75} +(0.270455 + 0.272362i) q^{76} -9.47358 q^{77} +(0.264706 - 1.81725i) q^{78} +(-3.52963 - 9.69758i) q^{79} +(3.35472 + 8.69609i) q^{80} +(-8.02976 + 4.06485i) q^{81} +(-4.81670 + 13.2338i) q^{82} +(4.00475 + 6.93643i) q^{83} +(-0.323408 + 0.00966859i) q^{84} +(0.846188 - 1.04852i) q^{85} +(11.4451 - 9.60357i) q^{86} +(-0.152956 - 5.11627i) q^{87} +(-6.16894 - 10.6849i) q^{88} +(-5.94595 - 2.16415i) q^{89} +(4.17006 - 8.75061i) q^{90} +(1.53290 - 0.270291i) q^{91} +(0.298053 - 0.108483i) q^{92} +(-0.297599 + 2.04307i) q^{93} -8.89504i q^{94} +(-5.71443 - 7.89590i) q^{95} +(-0.453201 - 0.733439i) q^{96} +(-8.69088 - 7.29252i) q^{97} +(1.23542 + 3.39428i) q^{98} +(-3.82188 + 12.8405i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9}+O(q^{10}) $ 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9	$ 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9} + 18 q^{10} + 15 q^{15} - 36 q^{16} - 48 q^{19} - 30 q^{21} - 156 q^{24} - 12 q^{25} - 24 q^{30} - 36 q^{31} + 24 q^{34} - 6 q^{36} - 6 q^{40} - 30 q^{45} + 36 q^{46} + 60 q^{49} + 24 q^{51} - 6 q^{54} - 90 q^{55} + 90 q^{60} + 12 q^{61} - 60 q^{64} + 108 q^{66} + 90 q^{69} - 18 q^{70} - 132 q^{76} - 120 q^{79} + 36 q^{81} + 198 q^{84} - 66 q^{85} - 114 q^{90} - 72 q^{91} + 144 q^{96} + 78 q^{99}+O(q^{100}) $ 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9 + 18 * q^10 + 15 * q^15 - 36 * q^16 - 48 * q^19 - 30 * q^21 - 156 * q^24 - 12 * q^25 - 24 * q^30 - 36 * q^31 + 24 * q^34 - 6 * q^36 - 6 * q^40 - 30 * q^45 + 36 * q^46 + 60 * q^49 + 24 * q^51 - 6 * q^54 - 90 * q^55 + 90 * q^60 + 12 * q^61 - 60 * q^64 + 108 * q^66 + 90 * q^69 - 18 * q^70 - 132 * q^76 - 120 * q^79 + 36 * q^81 + 198 * q^84 - 66 * q^85 - 114 * q^90 - 72 * q^91 + 144 * q^96 + 78 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/285\mathbb{Z}\right)^\times$.

$n$	$172$	$191$	$211$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{18}\right)$

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 $

$2$	0.928835	−	1.10694i	0.656786	−	0.782727i	−0.330135	−	0.943934i	$-0.607094\pi$
$2$	0.928835	−	1.10694i	0.656786	−	0.782727i	0.986921	+	0.161207i	$0.0515387\pi$
$3$	1.07319	−	1.35950i	0.619609	−	0.784910i
$3$	1.07319	−	1.35950i	0.619609	−	0.784910i
$4$	−0.0152910	−	0.0867194i	−0.00764548	−	0.0433597i
$5$	0.0427436	+	2.23566i	0.0191155	+	0.999817i
$5$	0.0427436	+	2.23566i	0.0191155	+	0.999817i
$6$	−0.508073	−	2.45072i	−0.207420	−	1.00050i
$7$	1.83718	−	1.06069i	0.694387	−	0.400905i	−0.110866	−	0.993835i	$-0.535363\pi$
$7$	1.83718	−	1.06069i	0.694387	−	0.400905i	0.805253	+	0.592931i	$0.202029\pi$
$8$	2.39264	+	1.38139i	0.845925	+	0.488395i
$9$	−0.696507	−	2.91803i	−0.232169	−	0.972675i
$10$	2.51445	+	2.02924i	0.795139	+	0.641703i
$11$	−3.86745	−	2.23287i	−1.16608	−	0.673237i	−0.213327	−	0.976981i	$-0.568430\pi$
$11$	−3.86745	−	2.23287i	−1.16608	−	0.673237i	−0.952754	+	0.303744i	$0.901763\pi$
$12$	−0.134306	−	0.0722786i	−0.0387707	−	0.0208650i
$13$	0.689489	+	0.250954i	0.191230	+	0.0696020i	0.435860	−	0.900014i	$-0.356444\pi$
$13$	0.689489	+	0.250954i	0.191230	+	0.0696020i	−0.244630	+	0.969616i	$0.578667\pi$
$14$	0.532306	−	3.01886i	0.142265	−	0.806824i
$15$	3.08526	+	2.34119i	0.796611	+	0.604492i
$16$	3.91698	−	1.42566i	0.979244	−	0.356416i
$17$	−0.461591	−	0.387321i	−0.111952	−	0.0939392i	0.585093	−	0.810966i	$-0.301058\pi$
$17$	−0.461591	−	0.387321i	−0.111952	−	0.0939392i	−0.697045	+	0.717027i	$0.745502\pi$
$18$	−3.87703	−	1.93937i	−0.913824	−	0.457115i
$19$	−3.57936	+	2.48761i	−0.821161	+	0.570696i
$19$	−3.57936	+	2.48761i	−0.821161	+	0.570696i
$20$	0.193221	−	0.0378921i	0.0432056	−	0.00847293i
$21$	0.529628	−	3.63598i	0.115574	−	0.793436i
$22$	−6.06389	+	2.20707i	−1.29283	+	0.470550i
$23$	0.625480	+	3.54728i	0.130422	+	0.739658i	0.977939	+	0.208890i	$0.0669852\pi$
$23$	0.625480	+	3.54728i	0.130422	+	0.739658i	−0.847517	+	0.530768i	$0.821904\pi$
$24$	4.44577	−	1.77030i	0.907489	−	0.361361i
$25$	−4.99635	+	0.191120i	−0.999269	+	0.0382241i
$26$	0.918213	−	0.530131i	0.180076	−	0.103967i
$27$	−4.71456	−	2.18471i	−0.907317	−	0.420447i
$28$	−0.120075	−	0.143100i	−0.0226920	−	0.0270433i
$29$	2.26382	−	1.89957i	0.420380	−	0.352741i	−0.407928	−	0.913014i	$-0.633748\pi$
$29$	2.26382	−	1.89957i	0.420380	−	0.352741i	0.828308	+	0.560274i	$0.189304\pi$
$30$	5.45726	−	1.24063i	0.996355	−	0.226507i
$31$	−1.03231	+	0.596006i	−0.185409	+	0.107046i	−0.589831	−	0.807526i	$-0.700806\pi$
$31$	−1.03231	+	0.596006i	−0.185409	+	0.107046i	0.404423	+	0.914572i	$0.367473\pi$
$32$	0.170247	−	0.467750i	0.0300957	−	0.0826874i
$33$	−7.18613	+	2.86151i	−1.25094	+	0.498125i
$34$	−0.857485	+	0.151198i	−0.147057	+	0.0259302i
$35$	2.44988	+	4.06196i	0.414105	+	0.686597i
$36$	−0.242399	+	0.105020i	−0.0403999	+	0.0175033i
$37$	−11.4734			−1.88622			−0.943108	−	0.332488i	$-0.892112\pi$
$37$	−11.4734			−1.88622			−0.943108	+	0.332488i	$0.892112\pi$
$38$	−0.570998	+	6.27272i	−0.0926282	+	1.01757i
$39$	1.08113	−	0.668042i	0.173119	−	0.106972i
$40$	−2.98605	+	5.40817i	−0.472135	+	0.855106i
$41$	−9.15825	+	3.33333i	−1.43028	+	0.520579i	−0.937011	−	0.349299i	$-0.886420\pi$
$41$	−9.15825	+	3.33333i	−1.43028	+	0.520579i	−0.493267	+	0.869878i	$0.664197\pi$
$42$	−3.53288	−	3.96349i	−0.545136	−	0.611580i
$43$	10.1823	+	1.79541i	1.55278	+	0.273798i	0.883221	−	0.468957i	$-0.155370\pi$
$43$	10.1823	+	1.79541i	1.55278	+	0.273798i	0.669564	+	0.742755i	$0.266481\pi$
$44$	−0.134496	+	0.369526i	−0.0202761	+	0.0557081i
$45$	6.49394	−	1.68188i	0.968060	−	0.250720i
$46$	4.50760	+	2.60246i	0.664609	+	0.383712i
$47$	4.71553	−	3.95680i	0.687831	−	0.577158i	−0.230452	−	0.973084i	$-0.574021\pi$
$47$	4.71553	−	3.95680i	0.687831	−	0.577158i	0.918283	+	0.395925i	$0.129576\pi$
$48$	2.26548	−	6.85516i	0.326994	−	0.989458i
$49$	−1.24986	+	2.16482i	−0.178551	+	0.309260i
$50$	−4.42922	+	5.70819i	−0.626387	+	0.807260i
$51$	−1.02194	+	0.211865i	−0.143101	+	0.0296670i
$52$	0.0112196	−	0.0636294i	0.00155588	−	0.00882381i
$53$	9.54074	−	1.68229i	1.31052	−	0.231080i	0.525630	−	0.850714i	$-0.323830\pi$
$53$	9.54074	−	1.68229i	1.31052	−	0.231080i	0.784891	+	0.619633i	$0.212719\pi$
$54$	−6.79739	+	3.18951i	−0.925008	+	0.434038i
$55$	4.82664	−	8.74174i	0.650823	−	1.17874i
$56$	5.86092			0.783199
$57$	−0.459437	+	7.53584i	−0.0608540	+	0.998147i
$58$		−	4.27030i		−	0.560718i
$59$	6.54650	+	5.49316i	0.852281	+	0.715149i	0.960291	−	0.279001i	$-0.0900032\pi$
$59$	6.54650	+	5.49316i	0.852281	+	0.715149i	−0.108009	+	0.994150i	$0.534448\pi$
$60$	0.155850	−	0.303351i	0.0201201	−	0.0391624i
$61$	−1.77149	−	10.0466i	−0.226815	−	1.28633i	−0.859184	−	0.511667i	$-0.829028\pi$
$61$	−1.77149	−	10.0466i	−0.226815	−	1.28633i	0.632369	−	0.774668i	$-0.282083\pi$
$62$	−0.299104	+	1.69630i	−0.0379862	+	0.215431i
$63$	−4.37474	−	4.62215i	−0.551165	−	0.582336i
$64$	3.80872	+	6.59689i	0.476090	+	0.824612i
$65$	−0.531575	+	1.55219i	−0.0659338	+	0.192525i
$66$	−3.50720	+	10.6125i	−0.431707	+	1.30631i
$67$	4.62508	−	3.88090i	0.565043	−	0.474128i	−0.314954	−	0.949107i	$-0.601989\pi$
$67$	4.62508	−	3.88090i	0.565043	−	0.474128i	0.879997	+	0.474979i	$0.157545\pi$
$68$	−0.0265301	+	0.0459514i	−0.00321724	+	0.00557243i
$69$	5.49380	+	2.95657i	0.661376	+	0.355930i
$70$	6.77189	+	1.06102i	0.809396	+	0.126816i
$71$	−1.01973	+	5.78315i	−0.121019	+	0.686334i	0.862574	+	0.505932i	$0.168851\pi$
$71$	−1.01973	+	5.78315i	−0.121019	+	0.686334i	−0.983593	+	0.180403i	$0.942260\pi$
$72$	2.36444	−	7.94392i	0.278652	−	0.936200i
$73$	0.863785	+	2.37323i	0.101098	+	0.277765i	0.979922	−	0.199381i	$-0.0638932\pi$
$73$	0.863785	+	2.37323i	0.101098	+	0.277765i	−0.878824	+	0.477147i	$0.841671\pi$
$74$	−10.6569	+	12.7004i	−1.23884	+	1.47639i
$75$	−5.10222	+	6.99767i	−0.589154	+	0.808021i
$76$	0.270455	+	0.272362i	0.0310234	+	0.0312421i
$77$	−9.47358			−1.07961
$78$	0.264706	−	1.81725i	0.0299721	−	0.205763i
$79$	−3.52963	−	9.69758i	−0.397114	−	1.09106i	−0.963683	−	0.267048i	$-0.913952\pi$
$79$	−3.52963	−	9.69758i	−0.397114	−	1.09106i	0.566569	−	0.824014i	$-0.308271\pi$
$80$	3.35472	+	8.69609i	0.375069	+	0.972252i
$81$	−8.02976	+	4.06485i	−0.892195	+	0.451650i
$82$	−4.81670	+	13.2338i	−0.531915	+	1.46143i
$83$	4.00475	+	6.93643i	0.439578	+	0.761372i	0.997657	−	0.0684163i	$-0.0217946\pi$
$83$	4.00475	+	6.93643i	0.439578	+	0.761372i	−0.558079	+	0.829788i	$0.688461\pi$
$84$	−0.323408	+	0.00966859i	−0.0352867	+	0.00105493i
$85$	0.846188	−	1.04852i	0.0917820	−	0.113728i
$86$	11.4451	−	9.60357i	1.23416	−	1.03558i
$87$	−0.152956	−	5.11627i	−0.0163986	−	0.548522i
$88$	−6.16894	−	10.6849i	−0.657611	−	1.13902i
$89$	−5.94595	−	2.16415i	−0.630269	−	0.229399i	0.00707926	−	0.999975i	$-0.497747\pi$
$89$	−5.94595	−	2.16415i	−0.630269	−	0.229399i	−0.637348	+	0.770576i	$0.719969\pi$
$90$	4.17006	−	8.75061i	0.439563	−	0.922395i
$91$	1.53290	−	0.270291i	0.160691	−	0.0283342i
$92$	0.298053	−	0.108483i	0.0310742	−	0.0113101i
$93$	−0.297599	+	2.04307i	−0.0308596	+	0.211856i
$94$		−	8.89504i		−	0.917453i
$95$	−5.71443	−	7.89590i	−0.586289	−	0.810102i
$96$	−0.453201	−	0.733439i	−0.0462546	−	0.0748563i
$97$	−8.69088	−	7.29252i	−0.882426	−	0.740443i	0.0842507	−	0.996445i	$-0.473150\pi$
$97$	−8.69088	−	7.29252i	−0.882426	−	0.740443i	−0.966676	+	0.256002i	$0.917595\pi$
$98$	1.23542	+	3.39428i	0.124796	+	0.342874i
$99$	−3.82188	+	12.8405i	−0.384113	+	1.29052i
$100$	0.0929728	+	0.430358i	0.00929728	+	0.0430358i
$101$	1.91891	−	5.27215i	0.190938	−	0.524598i	−0.806873	−	0.590725i	$-0.798842\pi$
$101$	1.91891	−	5.27215i	0.190938	−	0.524598i	0.997811	+	0.0661265i	$0.0210641\pi$
$102$	−0.714694	+	1.32802i	−0.0707652	+	0.131493i
$103$	−6.84743	+	11.8601i	−0.674697	+	1.16861i	0.301860	+	0.953352i	$0.402392\pi$
$103$	−6.84743	+	11.8601i	−0.674697	+	1.16861i	−0.976557	+	0.215257i	$0.930941\pi$
$104$	1.30303	+	1.55289i	0.127773	+	0.152274i
$105$	8.15145	+	1.02865i	0.795500	+	0.100386i
$106$	6.99957	−	12.1236i	0.679859	−	1.17755i
$107$	3.70695	−	2.14021i	0.358364	−	0.206902i	−0.309999	−	0.950737i	$-0.600329\pi$
$107$	3.70695	−	2.14021i	0.358364	−	0.206902i	0.668363	+	0.743835i	$0.266995\pi$
$108$	−0.117366	+	0.442250i	−0.0112936	+	0.0425555i
$109$	0.548842	+	0.0967757i	0.0525696	+	0.00926943i	0.199871	−	0.979822i	$-0.435948\pi$
$109$	0.548842	+	0.0967757i	0.0525696	+	0.00926943i	−0.147302	+	0.989092i	$0.547059\pi$
$110$	−5.19346	−	13.4624i	−0.495177	−	1.28359i
$111$	−12.3132	+	15.5981i	−1.16872	+	1.48051i
$112$	5.68398	−	6.77391i	0.537086	−	0.640074i
$113$		−	8.19105i		−	0.770549i	−0.922802	−	0.385274i	$-0.874107\pi$
$113$		−	8.19105i		−	0.770549i	0.922802	−	0.385274i	$-0.125893\pi$
$114$	7.91500	+	7.50813i	0.741308	+	0.703200i
$115$	−7.90376	+	1.54998i	−0.737030	+	0.144537i
$116$	−0.199345	−	0.167270i	−0.0185087	−	0.0155307i
$117$	0.252055	−	2.18674i	0.0233025	−	0.202164i
$118$	12.1612	−	2.14435i	1.11953	−	0.197404i
$119$	−1.25885	−	0.221970i	−0.115399	−	0.0203479i
$120$	4.14782	+	9.86356i	0.378642	+	0.900416i
$121$	4.47145	+	7.74478i	0.406495	+	0.704071i
$122$	−12.7664	−	7.37070i	−1.15582	−	0.667311i
$123$	−5.29690	+	16.0280i	−0.477606	+	1.44520i
$124$	0.0674703	+	0.0804080i	0.00605902	+	0.00722085i
$125$	−0.640842	−	11.1620i	−0.0573186	−	0.998356i
$126$	−9.17986	+	0.549372i	−0.817807	+	0.0489419i
$127$	−1.05193	−	0.382870i	−0.0933433	−	0.0339742i	0.294926	−	0.955520i	$-0.404705\pi$
$127$	−1.05193	−	0.382870i	−0.0933433	−	0.0339742i	−0.388270	+	0.921546i	$0.626927\pi$
$128$	11.8205	+	2.08427i	1.04479	+	0.184225i
$129$	13.3685	−	11.9160i	1.17703	−	1.04915i
$130$	1.22444	+	2.03015i	0.107390	+	0.178056i
$131$	2.11204	−	2.51703i	0.184530	−	0.219914i	−0.665847	−	0.746089i	$-0.731930\pi$
$131$	2.11204	−	2.51703i	0.184530	−	0.219914i	0.850377	+	0.526174i	$0.176374\pi$
$132$	0.358031	+	0.579421i	0.0311626	+	0.0504322i
$133$	−3.93732	+	8.36677i	−0.341409	+	0.725491i
$134$		−	8.72442i		−	0.753675i
$135$	4.68274	−	10.6335i	0.403026	−	0.915188i
$136$	−0.569379	−	1.56436i	−0.0488239	−	0.134142i
$137$	−0.865936	−	4.91097i	−0.0739819	−	0.419572i	−0.999195	−	0.0401237i	$-0.987225\pi$
$137$	−0.865936	−	4.91097i	−0.0739819	−	0.419572i	0.925213	−	0.379449i	$-0.123886\pi$
$138$	8.37559	−	3.33515i	0.712978	−	0.283907i
$139$	14.9367	+	5.43650i	1.26691	+	0.461118i	0.886082	−	0.463528i	$-0.153417\pi$
$139$	14.9367	+	5.43650i	1.26691	+	0.461118i	0.380829	+	0.924646i	$0.375639\pi$
$140$	0.314790	−	0.274563i	0.0266046	−	0.0232048i
$141$	−0.318607	−	10.6572i	−0.0268315	−	0.897498i
$142$	5.45446	+	6.50038i	0.457728	+	0.545499i
$143$	−2.10622	−	2.51009i	−0.176131	−	0.209904i
$144$	−6.88832	−	10.4369i	−0.574027	−	0.869738i
$145$	4.34355	+	4.97993i	0.360712	+	0.413560i
$146$	3.42934	+	1.24818i	0.283814	+	0.103300i
$147$	1.60174	+	4.02246i	0.132109	+	0.331767i
$148$	0.175439	+	0.994966i	0.0144210	+	0.0817857i
$149$	0.163074	+	0.448041i	0.0133595	+	0.0367050i	0.946193	−	0.323602i	$-0.104894\pi$
$149$	0.163074	+	0.448041i	0.0133595	+	0.0367050i	−0.932834	+	0.360307i	$0.882672\pi$
$150$	3.00689	+	12.1475i	0.245512	+	0.991843i
$151$		−	6.88452i		−	0.560254i	−0.959963	−	0.280127i	$-0.909623\pi$
$151$		−	6.88452i		−	0.560254i	0.959963	−	0.280127i	$-0.0903766\pi$
$152$	−12.0005	+	1.00745i	−0.973366	+	0.0817148i
$153$	−0.808712	+	1.61671i	−0.0653805	+	0.130703i
$154$	−8.79939	+	10.4867i	−0.709075	+	0.845043i
$155$	−1.37659	−	2.28242i	−0.110571	−	0.183329i
$156$	−0.0744637	−	0.0835398i	−0.00596187	−	0.00668854i
$157$	8.54023	+	1.50587i	0.681585	+	0.120182i	0.503712	−	0.863872i	$-0.331967\pi$
$157$	8.54023	+	1.50587i	0.681585	+	0.120182i	0.177873	+	0.984053i	$0.443078\pi$
$158$	−14.0131	−	5.10035i	−1.11482	−	0.405762i
$159$	7.95199	−	14.7761i	0.630634	−	1.17182i
$160$	1.05301	+	0.360621i	0.0832476	+	0.0285096i
$161$	4.91169	+	5.85352i	0.387095	+	0.461322i
$162$	−2.95876	+	12.6641i	−0.232462	+	0.994982i
$163$	−16.1580	−	9.32880i	−1.26559	−	0.730688i	−0.291439	−	0.956589i	$-0.594134\pi$
$163$	−16.1580	−	9.32880i	−1.26559	−	0.730688i	−0.974150	+	0.225901i	$0.927467\pi$
$164$	0.429103	+	0.743228i	0.0335073	+	0.0580363i
$165$	−6.70452	−	15.9434i	−0.521946	−	1.24119i
$166$	11.3980	+	2.00977i	0.884655	+	0.155988i
$167$	8.53596	−	1.50512i	0.660533	−	0.116470i	0.166674	−	0.986012i	$-0.446697\pi$
$167$	8.53596	−	1.50512i	0.660533	−	0.116470i	0.493858	+	0.869542i	$0.335586\pi$
$168$	6.28991	−	7.96795i	0.485277	−	0.614741i
$169$	−9.54616	−	8.01018i	−0.734320	−	0.616168i
$170$	−0.374678	−	1.91058i	−0.0287365	−	0.146535i
$171$	9.75195	+	8.71203i	0.745750	+	0.666226i
$172$		−	0.910455i		−	0.0694216i
$173$	−0.382520	+	0.455869i	−0.0290824	+	0.0346591i	−0.780390	−	0.625294i	$-0.784979\pi$
$173$	−0.382520	+	0.455869i	−0.0290824	+	0.0346591i	0.751307	+	0.659953i	$0.229424\pi$
$174$	−5.80549	−	4.58286i	−0.440113	−	0.347426i
$175$	−8.97644	+	5.65071i	−0.678555	+	0.427154i
$176$	−18.3320	−	3.23243i	−1.38183	−	0.243654i
$177$	14.4936	−	3.00476i	1.08941	−	0.225852i
$178$	−7.91839	+	4.57169i	−0.593509	+	0.342662i
$179$	13.3042	−	23.0436i	0.994403	−	1.72236i	0.405701	−	0.914006i	$-0.367028\pi$
$179$	13.3042	−	23.0436i	0.994403	−	1.72236i	0.588702	−	0.808350i	$-0.299639\pi$
$180$	−0.245150	−	0.537433i	−0.0182724	−	0.0400579i
$181$	13.9347	+	16.6067i	1.03576	+	1.23437i	0.971650	+	0.236425i	$0.0759758\pi$
$181$	13.9347	+	16.6067i	1.03576	+	1.23437i	0.0641082	+	0.997943i	$0.479580\pi$
$182$	1.12461	−	1.94789i	0.0833618	−	0.144387i
$183$	−15.5595	−	8.37360i	−1.15019	−	0.618995i
$184$	−3.40362	+	9.35137i	−0.250918	+	0.689392i
$185$	−0.490414	−	25.6506i	−0.0360560	−	1.88587i
$186$	1.98514	+	2.22710i	0.145557	+	0.163299i
$187$	0.920343	+	2.52862i	0.0673021	+	0.184911i
$188$	−0.415236	−	0.348424i	−0.0302842	−	0.0254115i
$189$	−10.9788	+	0.987015i	−0.798588	+	0.0717948i
$190$	−14.0481	−	1.00844i	−1.01915	−	0.0731599i
$191$			14.8213i			1.07243i	0.844080	+	0.536217i	$0.180147\pi$
$191$			14.8213i			1.07243i	−0.844080	+	0.536217i	$0.819853\pi$
$192$	13.0560	+	1.90178i	0.942236	+	0.137249i
$193$	16.0431	−	5.83920i	1.15481	−	0.420315i	0.307566	−	0.951527i	$-0.400485\pi$
$193$	16.0431	−	5.83920i	1.15481	−	0.420315i	0.847239	+	0.531212i	$0.178263\pi$
$194$	−16.1448	+	2.84676i	−1.15913	+	0.204386i
$195$	1.53973	+	2.38848i	0.110262	+	0.171043i
$196$	0.206843	+	0.0752847i	0.0147745	+	0.00537748i
$197$	2.98961	+	5.17815i	0.213001	+	0.368928i	0.952652	−	0.304062i	$-0.0983430\pi$
$197$	2.98961	+	5.17815i	0.213001	+	0.368928i	−0.739652	+	0.672990i	$0.765010\pi$
$198$	10.6638	+	16.1573i	0.757846	+	1.14825i
$199$	−3.00614	+	2.52245i	−0.213100	+	0.178812i	−0.743089	−	0.669192i	$-0.766640\pi$
$199$	−3.00614	+	2.52245i	−0.213100	+	0.178812i	0.529990	+	0.848004i	$0.322196\pi$
$200$	−12.2185	−	6.44462i	−0.863975	−	0.455703i
$201$	−0.312495	−	10.4528i	−0.0220417	−	0.737282i
$202$	−4.05362	−	7.02108i	−0.285212	−	0.494001i
$203$	2.14417	−	5.89105i	0.150491	−	0.413471i
$204$	0.0339993	+	0.0853826i	0.00238042	+	0.00597798i
$205$	−7.84365	−	20.3322i	−0.547824	−	1.42007i
$206$	6.76831	+	18.5958i	0.471570	+	1.29563i
$207$	9.91539	−	4.29587i	0.689167	−	0.298584i
$208$	3.05849			0.212068
$209$	19.3975	−	1.62843i	1.34175	−	0.112641i
$210$	8.71001	−	8.06774i	0.601048	−	0.556727i
$211$	−4.64446	+	5.53505i	−0.319737	+	0.381048i	−0.901842	−	0.432066i	$-0.857785\pi$
$211$	−4.64446	+	5.53505i	−0.319737	+	0.381048i	0.582105	+	0.813114i	$0.302229\pi$
$212$	−0.291774	−	0.801643i	−0.0200391	−	0.0550571i
$213$	6.76786	+	7.59277i	0.463726	+	0.520248i
$214$	1.07406	−	6.09128i	0.0734210	−	0.416391i
$215$	−3.57870	+	22.8409i	−0.244066	+	1.55773i
$216$	−8.26230	−	11.7398i	−0.562178	−	0.798795i
$217$	−1.26436	+	2.18994i	−0.0858304	+	0.148663i
$218$	0.616909	−	0.517648i	0.0417824	−	0.0350596i
$219$	4.15343	+	1.37262i	0.280663	+	0.0927529i
$220$	−0.831882	−	0.284893i	−0.0560855	−	0.0192075i
$221$	−0.221063	−	0.382892i	−0.0148703	−	0.0257561i
$222$	5.82932	+	28.1181i	0.391239	+	1.88716i
$223$	0.479311	−	2.71831i	0.0320970	−	0.182031i	−0.964544	−	0.263921i	$-0.914984\pi$
$223$	0.479311	−	2.71831i	0.0320970	−	0.182031i	0.996641	+	0.0818893i	$0.0260954\pi$
$224$	−0.183366	−	1.03992i	−0.0122516	−	0.0694825i
$225$	4.03768	+	14.4464i	0.269179	+	0.963090i
$226$	−9.06702	−	7.60813i	−0.603129	−	0.506085i
$227$			8.21182i			0.545038i	0.962150	+	0.272519i	$0.0878567\pi$
$227$			8.21182i			0.545038i	−0.962150	+	0.272519i	$0.912143\pi$
$228$	0.660529	−	0.0753882i	0.0437446	−	0.00499270i
$229$	11.8690			0.784328			0.392164	−	0.919895i	$-0.371727\pi$
$229$	11.8690			0.784328			0.392164	+	0.919895i	$0.371727\pi$
$230$	−5.62555	+	10.1887i	−0.370938	+	0.671823i
$231$	−10.1670	+	12.8794i	−0.668939	+	0.847401i
$232$	8.04053	−	1.41776i	0.527887	−	0.0930806i
$233$	0.821911	−	4.66129i	0.0538452	−	0.305371i	−0.945977	−	0.324234i	$-0.894893\pi$
$233$	0.821911	−	4.66129i	0.0538452	−	0.305371i	0.999822	+	0.0188628i	$0.00600458\pi$
$234$	−2.18648	−	2.31013i	−0.142934	−	0.151018i
$235$	9.04761	+	10.3732i	0.590201	+	0.676672i
$236$	0.376261	−	0.651704i	0.0244925	−	0.0424223i
$237$	−16.9719	−	5.60884i	−1.10244	−	0.364333i
$238$	−1.41498	+	1.18731i	−0.0917192	+	0.0769616i
$239$	2.26492	+	1.30765i	0.146506	+	0.0845851i	0.571461	−	0.820629i	$-0.306377\pi$
$239$	2.26492	+	1.30765i	0.146506	+	0.0845851i	−0.424955	+	0.905214i	$0.639710\pi$
$240$	15.4226	+	4.77183i	0.995528	+	0.308021i
$241$	−1.55587	+	4.27470i	−0.100222	+	0.275358i	−0.979663	−	0.200650i	$-0.935695\pi$
$241$	−1.55587	+	4.27470i	−0.100222	+	0.275358i	0.879441	+	0.476008i	$0.157917\pi$
$242$	12.7263	+	2.24398i	0.818075	+	0.144249i
$243$	−3.09131	+	15.2789i	−0.198307	+	0.980140i
$244$	−0.844146	+	0.307244i	−0.0540409	+	0.0196693i
$245$	−4.89322	−	2.70172i	−0.312616	−	0.172607i
$246$	12.8221	+	20.7507i	0.817508	+	1.32302i
$247$	−3.09220	+	0.816924i	−0.196752	+	0.0519797i
$248$	−3.29327			−0.209123
$249$	13.7280	+	1.99966i	0.869975	+	0.126723i
$250$	−12.9509	−	9.65825i	−0.819086	−	0.610841i
$251$	13.0509	−	2.30122i	0.823764	−	0.145252i	0.254151	−	0.967165i	$-0.418204\pi$
$251$	13.0509	−	2.30122i	0.823764	−	0.145252i	0.569613	+	0.821913i	$0.307093\pi$
$252$	−0.333936	+	0.450051i	−0.0210360	+	0.0283506i
$253$	5.50160	−	15.1155i	0.345883	−	0.950305i
$254$	−1.40088	+	0.808799i	−0.0878991	+	0.0507486i
$255$	−0.517339	−	2.27566i	−0.0323970	−	0.142507i
$256$	1.61584	−	1.35585i	0.100990	−	0.0847409i
$257$	−0.646058	−	0.769942i	−0.0403000	−	0.0480277i	0.745518	−	0.666486i	$-0.232202\pi$
$257$	−0.646058	−	0.769942i	−0.0403000	−	0.0480277i	−0.785818	+	0.618458i	$0.787758\pi$
$258$	−0.773292	−	25.8662i	−0.0481431	−	1.61036i
$259$	−21.0786	+	12.1698i	−1.30976	+	0.756192i
$260$	0.142733	+	0.0223634i	0.00885194	+	0.00138692i
$261$	−7.11975	−	5.28281i	−0.440701	−	0.326998i
$262$	−0.824473	−	4.67582i	−0.0509361	−	0.288873i
$263$	−7.38429	+	2.68766i	−0.455335	+	0.165728i	−0.559498	−	0.828832i	$-0.689006\pi$
$263$	−7.38429	+	2.68766i	−0.455335	+	0.165728i	0.104163	+	0.994560i	$0.466784\pi$
$264$	−21.1467	−	3.08029i	−1.30149	−	0.189579i
$265$	4.16883	+	21.2579i	0.256089	+	1.30586i
$266$	5.60441	+	12.1297i	0.343629	+	0.743722i
$267$	−9.32333	+	5.76099i	−0.570578	+	0.352567i
$268$	−0.407271	−	0.341741i	−0.0248781	−	0.0208752i
$269$	−18.9529	+	6.89828i	−1.15558	+	0.420596i	−0.847516	−	0.530771i	$-0.821903\pi$
$269$	−18.9529	+	6.89828i	−1.15558	+	0.420596i	−0.308062	+	0.951366i	$0.599680\pi$
$270$	−7.42121	−	15.0603i	−0.451641	−	0.916542i
$271$	2.12560	−	12.0548i	0.129121	−	0.732280i	−0.849654	−	0.527341i	$-0.823189\pi$
$271$	2.12560	−	12.0548i	0.129121	−	0.732280i	0.978775	−	0.204939i	$-0.0656997\pi$
$272$	−2.36023	−	0.859054i	−0.143110	−	0.0520878i
$273$	1.27763	−	2.37406i	0.0773260	−	0.143684i
$274$	−6.24047	−	3.60294i	−0.377001	−	0.217662i
$275$	19.7499	+	10.4171i	1.19096	+	0.628172i
$276$	0.172387	−	0.521628i	0.0103765	−	0.0313983i
$277$	11.4985	+	6.63864i	0.690875	+	0.398877i	0.803940	−	0.594711i	$-0.202733\pi$
$277$	11.4985	+	6.63864i	0.690875	+	0.398877i	−0.113064	+	0.993588i	$0.536067\pi$
$278$	19.8916	−	11.4844i	1.19302	−	0.688789i
$279$	2.45818	+	2.59719i	0.147167	+	0.155490i
$280$	0.250517	+	13.1030i	0.0149713	+	0.783056i
$281$	−1.19414	−	6.77231i	−0.0712365	−	0.404002i	−0.999486	−	0.0320451i	$-0.989798\pi$
$281$	−1.19414	−	6.77231i	−0.0712365	−	0.404002i	0.928250	−	0.371957i	$-0.121313\pi$
$282$	−12.0928	−	9.54610i	−0.720118	−	0.568462i
$283$	−15.0631	+	17.9515i	−0.895408	+	1.06711i	0.101974	+	0.994787i	$0.467484\pi$
$283$	−15.0631	+	17.9515i	−0.895408	+	1.06711i	−0.997382	+	0.0723183i	$0.976960\pi$
$284$	0.517104			0.0306845
$285$	−16.8672	−	0.705036i	−0.999128	−	0.0417628i
$286$	−4.73486			−0.279978
$287$	−13.2897	+	15.8380i	−0.784464	+	0.934888i
$288$	−1.48349	−	0.170995i	−0.0874153	−	0.0100760i
$289$	−2.88897	−	16.3842i	−0.169939	−	0.963774i
$290$	9.54693	−	0.182528i	0.560615	−	0.0107184i
$291$	−19.2412	+	3.98901i	−1.12794	+	0.233840i
$292$	0.192597	−	0.111196i	0.0112709	−	0.00650724i
$293$	−26.6699	−	15.3979i	−1.55807	−	0.899555i	−0.997441	−	0.0714901i	$-0.977225\pi$
$293$	−26.6699	−	15.3979i	−1.55807	−	0.899555i	−0.560633	−	0.828064i	$-0.689442\pi$
$294$	5.94038	+	1.96317i	0.346450	+	0.114494i
$295$	−12.0010	+	14.8705i	−0.698726	+	0.865796i
$296$	−27.4517	−	15.8492i	−1.59560	−	0.921218i
$297$	13.3551	+	18.9763i	0.774944	+	1.10111i
$298$	0.647425	+	0.235643i	0.0375043	+	0.0136505i
$299$	−0.458939	+	2.60277i	−0.0265411	+	0.150522i
$300$	0.684851	+	0.335460i	0.0395399	+	0.0193678i
$301$	20.6110	−	7.50180i	1.18800	−	0.432397i
$302$	−7.62077	−	6.39458i	−0.438526	−	0.367967i
$303$	−5.10815	−	8.26680i	−0.293456	−	0.474915i
$304$	−10.4738	+	14.8469i	−0.600713	+	0.851526i
$305$	22.3850	−	4.38986i	1.28176	−	0.251363i
$306$	1.03844	+	2.39685i	0.0593638	+	0.137019i
$307$	25.4743	−	9.27187i	1.45389	−	0.529174i	0.510217	−	0.860046i	$-0.329565\pi$
$307$	25.4743	−	9.27187i	1.45389	−	0.529174i	0.943676	+	0.330872i	$0.107343\pi$
$308$	0.144860	+	0.821543i	0.00825417	+	0.0468117i
$309$	8.77523	+	22.0373i	0.499205	+	1.25366i
$310$	−3.80514	−	0.596189i	−0.216117	−	0.0338612i
$311$	15.4152	−	8.89999i	0.874118	−	0.504672i	0.00540346	−	0.999985i	$-0.498280\pi$
$311$	15.4152	−	8.89999i	0.874118	−	0.504672i	0.868714	+	0.495313i	$0.164947\pi$
$312$	3.50957	−	0.104922i	0.198690	−	0.00594003i
$313$	18.1620	+	21.6446i	1.02658	+	1.22343i	0.974408	+	0.224787i	$0.0721686\pi$
$313$	18.1620	+	21.6446i	1.02658	+	1.22343i	0.0521676	+	0.998638i	$0.483387\pi$
$314$	9.59939	−	8.05484i	0.541725	−	0.454561i
$315$	10.1466	−	9.97799i	0.571693	−	0.562196i
$316$	−0.786996	+	0.454373i	−0.0442720	+	0.0255605i
$317$	6.63087	−	18.2182i	0.372427	−	1.02323i	−0.601994	−	0.798501i	$-0.705627\pi$
$317$	6.63087	−	18.2182i	0.372427	−	1.02323i	0.974420	−	0.224733i	$-0.0721511\pi$
$318$	−8.97021	−	22.5270i	−0.503025	−	1.26325i
$319$	−12.9967	+	2.29167i	−0.727675	+	0.128309i
$320$	−14.5856	+	8.79697i	−0.815360	+	0.491766i
$321$	1.06865	−	7.33647i	0.0596464	−	0.409482i
$322$	11.0417			0.615328
$323$	2.61570	+	0.238104i	0.145542	+	0.0132485i
$324$	0.475284	+	0.634180i	0.0264047	+	0.0352322i
$325$	−3.49289	−	1.12208i	−0.193751	−	0.0622415i
$326$	−25.3345	+	9.22102i	−1.40315	+	0.510705i
$327$	0.720582	−	0.642295i	0.0398483	−	0.0355190i
$328$	−26.5170	−	4.67566i	−1.46416	−	0.258170i
$329$	4.46630	−	12.2711i	0.246235	−	0.676526i
$330$	−23.8759	−	7.38729i	−1.31432	−	0.406657i
$331$	4.05266	+	2.33980i	0.222754	+	0.128607i	0.607225	−	0.794530i	$-0.292283\pi$
$331$	4.05266	+	2.33980i	0.222754	+	0.128607i	−0.384471	+	0.923137i	$0.625616\pi$
$332$	0.540286	−	0.453354i	0.0296521	−	0.0248810i
$333$	7.99130	+	33.4797i	0.437921	+	1.83468i
$334$	6.26242	−	10.8468i	0.342664	−	0.593512i
$335$	8.87407	+	10.1742i	0.484842	+	0.555877i
$336$	−3.10914	−	14.9971i	−0.169617	−	0.818160i
$337$	−2.00558	+	11.3742i	−0.109251	+	0.619594i	0.880186	+	0.474630i	$0.157418\pi$
$337$	−2.00558	+	11.3742i	−0.109251	+	0.619594i	−0.989437	+	0.144965i	$0.953693\pi$
$338$	−17.7336	+	3.12692i	−0.964582	+	0.170082i
$339$	−11.1358	−	8.79059i	−0.604812	−	0.477439i
$340$	−0.103866	−	0.0573481i	−0.00563291	−	0.00311014i
$341$	5.32323			0.288269
$342$	18.7017	−	2.70281i	1.01127	−	0.146151i
$343$			20.1526i			1.08814i
$344$	21.8824	+	18.3615i	1.17982	+	0.989985i
$345$	−6.37507	+	12.4086i	−0.343222	+	0.668059i
$346$	0.149323	+	0.846854i	0.00802767	+	0.0455272i
$347$	−4.83284	+	27.4084i	−0.259440	+	1.47136i	0.524972	+	0.851120i	$0.324076\pi$
$347$	−4.83284	+	27.4084i	−0.259440	+	1.47136i	−0.784412	+	0.620240i	$0.787035\pi$
$348$	−0.441341	+	0.0914970i	−0.0236584	+	0.00490475i
$349$	14.2996	+	24.7676i	0.765440	+	1.32578i	0.940014	+	0.341137i	$0.110812\pi$
$349$	14.2996	+	24.7676i	0.765440	+	1.32578i	−0.174574	+	0.984644i	$0.555855\pi$
$350$	−2.08262	+	15.1850i	−0.111321	+	0.811672i
$351$	−2.70238	−	2.68947i	−0.144242	−	0.143553i
$352$	−1.70285	+	1.42886i	−0.0907622	+	0.0761585i
$353$	−15.8521	+	27.4566i	−0.843721	+	1.46137i	0.0430060	+	0.999075i	$0.486307\pi$
$353$	−15.8521	+	27.4566i	−0.843721	+	1.46137i	−0.886727	+	0.462293i	$0.847027\pi$
$354$	10.1361	−	18.8346i	0.538728	−	1.00105i
$355$	−12.9727	−	2.03257i	−0.688522	−	0.107877i
$356$	−0.0967543	+	0.548721i	−0.00512797	+	0.0290821i
$357$	−1.65276	+	1.47320i	−0.0874735	+	0.0779700i
$358$	−13.1505	−	36.1307i	−0.695025	−	1.90956i
$359$	−20.7078	+	24.6786i	−1.09292	+	1.30249i	−0.143090	+	0.989710i	$0.545704\pi$
$359$	−20.7078	+	24.6786i	−1.09292	+	1.30249i	−0.949826	+	0.312777i	$0.898741\pi$
$360$	17.8610	+	4.94654i	0.941356	+	0.260705i
$361$	6.62363	−	17.8081i	0.348612	−	0.937267i
$362$	31.3257			1.64644
$363$	15.3278	+	2.23270i	0.804501	+	0.117186i
$364$	−0.0468790	−	0.128799i	−0.00245712	−	0.00675090i
$365$	−5.26881	+	2.03257i	−0.275782	+	0.106390i
$366$	−23.7213	+	9.44582i	−1.23993	+	0.493741i
$367$	8.32667	−	22.8773i	0.434649	−	1.19419i	−0.508280	−	0.861192i	$-0.669719\pi$
$367$	8.32667	−	22.8773i	0.434649	−	1.19419i	0.942929	−	0.332995i	$-0.108059\pi$
$368$	7.50721	+	13.0029i	0.391340	+	0.677822i
$369$	16.1055	+	24.4023i	0.838420	+	1.27033i
$370$	−28.8493	−	23.2823i	−1.49980	−	1.21039i
$371$	15.7436	−	13.2105i	0.817368	−	0.685853i
$372$	0.181724	−	0.00543280i	0.00942195	−	0.000281678i
$373$	0.459325	+	0.795574i	0.0237829	+	0.0411932i	0.877672	−	0.479262i	$-0.159096\pi$
$373$	0.459325	+	0.795574i	0.0237829	+	0.0411932i	−0.853889	+	0.520455i	$0.825762\pi$
$374$	3.65388	+	1.32991i	0.188938	+	0.0687678i
$375$	−15.8625	−	11.1077i	−0.819135	−	0.573601i
$376$	16.7484	−	2.95320i	0.863734	−	0.152300i
$377$	2.03758	−	0.741618i	0.104941	−	0.0381953i
$378$	−9.10490	+	13.0696i	−0.468306	+	0.672230i
$379$		−	29.4647i		−	1.51350i	−0.653705	−	0.756749i	$-0.726786\pi$
$379$		−	29.4647i		−	1.51350i	0.653705	−	0.756749i	$-0.273214\pi$
$380$	−0.597348	+	0.616288i	−0.0306433	+	0.0316149i
$381$	−1.64943	+	1.01920i	−0.0845031	+	0.0522154i
$382$	16.4064	+	13.7666i	0.839422	+	0.704359i
$383$	−5.20708	−	14.3063i	−0.266069	−	0.731019i	−0.998728	−	0.0504231i	$-0.983943\pi$
$383$	−5.20708	−	14.3063i	−0.266069	−	0.731019i	0.732659	−	0.680596i	$-0.238279\pi$
$384$	15.5192	−	13.8332i	0.791963	−	0.705921i
$385$	−0.404935	−	21.1797i	−0.0206374	−	1.07942i
$386$	8.43771	−	23.1824i	0.429468	−	1.17995i
$387$	−1.85297	−	30.9627i	−0.0941919	−	1.57392i
$388$	−0.499511	+	0.865178i	−0.0253588	+	0.0439227i
$389$	−13.9866	−	16.6686i	−0.709148	−	0.845130i	0.284381	−	0.958711i	$-0.408212\pi$
$389$	−13.9866	−	16.6686i	−0.709148	−	0.845130i	−0.993529	+	0.113582i	$0.963768\pi$
$390$	4.07406	+	0.514117i	0.206298	+	0.0260333i
$391$	1.08522	−	1.87965i	0.0548819	−	0.0950582i
$392$	−5.98091	+	3.45308i	−0.302082	+	0.174407i
$393$	−1.15529	−	5.57260i	−0.0582766	−	0.281101i
$394$	8.50877	+	1.50033i	0.428666	+	0.0755853i
$395$	21.5296	−	8.30556i	1.08327	−	0.417898i
$396$	1.17196	+	0.135087i	0.0588934	+	0.00678836i
$397$	−2.37232	+	2.82722i	−0.119063	+	0.141894i	−0.822284	−	0.569078i	$-0.807300\pi$
$397$	−2.37232	+	2.82722i	−0.119063	+	0.141894i	0.703220	+	0.710972i	$0.251745\pi$
$398$			5.67057i			0.284240i
$399$	7.14915	+	14.3320i	0.357905	+	0.717497i
$400$	−19.2981	+	7.87172i	−0.964905	+	0.393586i
$401$	−27.5457	−	23.1136i	−1.37557	−	1.15424i	−0.970820	−	0.239808i	$-0.922915\pi$
$401$	−27.5457	−	23.1136i	−1.37557	−	1.15424i	−0.404746	−	0.914429i	$-0.632640\pi$
$402$	−11.8609	−	9.36300i	−0.591567	−	0.466984i
$403$	−0.861339	+	0.151877i	−0.0429063	+	0.00756554i
$404$	−0.486539	−	0.0857900i	−0.0242062	−	0.00426821i
$405$	−9.43084	−	17.7781i	−0.468622	−	0.883399i
$406$	−4.52948	−	7.84529i	−0.224794	−	0.389355i
$407$	44.3728	+	25.6186i	2.19948	+	1.26987i
$408$	−2.73780	−	0.904785i	−0.135542	−	0.0447935i
$409$	−5.67705	−	6.76564i	−0.280712	−	0.334539i	0.607203	−	0.794546i	$-0.292291\pi$
$409$	−5.67705	−	6.76564i	−0.280712	−	0.334539i	−0.887915	+	0.460007i	$0.847847\pi$
$410$	−29.7921	−	10.2028i	−1.47133	−	0.503882i
$411$	−7.60580	−	4.09318i	−0.375167	−	0.201902i
$412$	1.13320	+	0.412452i	0.0558289	+	0.0203201i
$413$	17.8536	+	3.14808i	0.878520	+	0.154907i
$414$	4.45448	−	14.9659i	0.218926	−	0.735535i
$415$	−15.3363	+	9.24974i	−0.752830	+	0.454052i
$416$	0.234767	−	0.279785i	0.0115104	−	0.0137176i
$417$	23.4209	−	14.4720i	1.14693	−	0.708699i
$418$	16.2145	−	22.9845i	0.793077	−	1.12421i
$419$		−	7.64771i		−	0.373615i	−0.982397	−	0.186808i	$-0.940186\pi$
$419$		−	7.64771i		−	0.373615i	0.982397	−	0.186808i	$-0.0598141\pi$
$420$	−0.0354393	−	0.722618i	−0.00172926	−	0.0352601i
$421$	−5.88446	−	16.1674i	−0.286791	−	0.787952i	−0.996511	−	0.0834674i	$-0.973401\pi$
$421$	−5.88446	−	16.1674i	−0.286791	−	0.787952i	0.709720	−	0.704484i	$-0.248822\pi$
$422$	1.81305	+	10.2823i	0.0882577	+	0.500534i
$423$	−14.8304	−	11.0041i	−0.721081	−	0.535038i
$424$	25.1514	+	9.15436i	1.22146	+	0.444575i
$425$	2.38030	+	1.84697i	0.115461	+	0.0895913i
$426$	14.6910	−	0.439201i	0.711781	−	0.0212793i
$427$	−13.9109	−	16.5783i	−0.673195	−	0.802282i
$428$	−0.242280	−	0.288738i	−0.0117111	−	0.0139567i
$429$	−5.67286	+	0.169596i	−0.273888	+	0.00818815i
$430$	21.9595	+	25.1768i	1.05898	+	1.21413i
$431$	−18.1118	−	6.59216i	−0.872415	−	0.317533i	−0.133270	−	0.991080i	$-0.542548\pi$
$431$	−18.1118	−	6.59216i	−0.872415	−	0.317533i	−0.739145	+	0.673547i	$0.764770\pi$
$432$	−21.5815	−	1.83607i	−1.03834	−	0.0883380i
$433$	3.44285	+	19.5254i	0.165453	+	0.938329i	0.948596	+	0.316489i	$0.102504\pi$
$433$	3.44285	+	19.5254i	0.165453	+	0.938329i	−0.783144	+	0.621841i	$0.786385\pi$
$434$	1.24975	+	3.43366i	0.0599900	+	0.164821i
$435$	11.4317	−	0.560645i	0.548108	−	0.0268809i
$436$		−	0.0490751i		−	0.00235027i
$437$	−11.0630	−	11.1410i	−0.529217	−	0.532948i
$438$	5.37726	−	3.32267i	0.256935	−	0.158763i
$439$	−10.9194	+	13.0133i	−0.521156	+	0.621089i	−0.960854	−	0.277056i	$-0.910641\pi$
$439$	−10.9194	+	13.0133i	−0.521156	+	0.621089i	0.439698	+	0.898146i	$0.355086\pi$
$440$	23.6241	−	14.2484i	1.12624	−	0.679263i
$441$	7.18753	+	2.13931i	0.342263	+	0.101872i
$442$	−0.629170	−	0.110940i	−0.0299266	−	0.00527686i
$443$	21.0083	+	7.64638i	0.998132	+	0.363290i	0.788864	−	0.614568i	$-0.210670\pi$
$443$	21.0083	+	7.64638i	0.998132	+	0.363290i	0.209268	+	0.977858i	$0.432892\pi$
$444$	1.54094	+	0.829281i	0.0731298	+	0.0393560i
$445$	4.58415	−	13.3856i	0.217309	−	0.634539i
$446$	−2.56381	−	3.05543i	−0.121400	−	0.144679i
$447$	0.784124	+	0.259136i	0.0370878	+	0.0122567i
$448$	13.9946	+	8.07977i	0.661181	+	0.381733i
$449$	19.8262	+	34.3401i	0.935658	+	1.62061i	0.773456	+	0.633850i	$0.218527\pi$
$449$	19.8262	+	34.3401i	0.935658	+	1.62061i	0.162203	+	0.986757i	$0.448140\pi$
$450$	19.7416	+	8.94880i	0.930629	+	0.421850i
$451$	42.8620	+	7.55772i	2.01829	+	0.355879i
$452$	−0.710322	+	0.125249i	−0.0334108	+	0.00589122i
$453$	−9.35954	−	7.38843i	−0.439749	−	0.347139i
$454$	9.09001	+	7.62743i	0.426616	+	0.357973i
$455$	0.669801	+	3.41548i	0.0314007	+	0.160120i
$456$	−11.5092	+	17.3959i	−0.538968	+	0.814636i
$457$		−	7.98921i		−	0.373720i	−0.982387	−	0.186860i	$-0.940169\pi$
$457$		−	7.98921i		−	0.373720i	0.982387	−	0.186860i	$-0.0598310\pi$
$458$	11.0244	−	13.1383i	0.515136	−	0.613915i
$459$	1.33002	+	2.83449i	0.0620799	+	0.132303i
$460$	0.255270	+	0.661709i	0.0119020	+	0.0308523i
$461$	4.65029	+	0.819971i	0.216586	+	0.0381899i	0.280888	−	0.959741i	$-0.409371\pi$
$461$	4.65029	+	0.819971i	0.216586	+	0.0381899i	−0.0643024	+	0.997930i	$0.520482\pi$
$462$	4.81327	+	23.2171i	0.223934	+	1.08016i
$463$	18.8257	−	10.8691i	0.874907	−	0.505128i	0.00593101	−	0.999982i	$-0.498112\pi$
$463$	18.8257	−	10.8691i	0.874907	−	0.505128i	0.868976	+	0.494855i	$0.164779\pi$
$464$	6.15917	−	10.6680i	0.285932	−	0.495249i
$465$	−4.58032	−	0.578003i	−0.212407	−	0.0268042i
$466$	−4.39636	−	5.23938i	−0.203657	−	0.242709i
$467$	−12.6229	+	21.8635i	−0.584118	+	1.01172i	0.410867	+	0.911695i	$0.365226\pi$
$467$	−12.6229	+	21.8635i	−0.584118	+	1.01172i	−0.994985	+	0.100027i	$0.968107\pi$
$468$	−0.193487	+	0.0115793i	−0.00894393	+	0.000535252i
$469$	4.38063	−	12.0357i	0.202279	−	0.555756i
$470$	19.8863	−	0.380206i	0.917285	−	0.0175376i
$471$	11.2126	−	9.99439i	0.516648	−	0.460517i
$472$	8.07519	+	22.1864i	0.371691	+	1.02121i
$473$	−35.3706	−	29.6794i	−1.62634	−	1.36466i
$474$	−21.9727	+	13.5772i	−1.00924	+	0.623622i
$475$	17.4083	−	13.1130i	0.798747	−	0.601667i
$476$			0.112561i			0.00515923i
$477$	−11.5542	−	26.6684i	−0.529028	−	1.22106i
$478$	3.55124	−	1.29255i	0.162430	−	0.0591197i
$479$	−29.9679	+	5.28415i	−1.36927	+	0.241439i	−0.809456	−	0.587181i	$-0.800238\pi$
$479$	−29.9679	+	5.28415i	−1.36927	+	0.241439i	−0.559812	+	0.828620i	$0.689127\pi$
$480$	1.62035	−	1.04455i	0.0739585	−	0.0476770i
$481$	−7.91078	−	2.87929i	−0.360701	−	0.131284i
$482$	3.28671	+	5.69275i	0.149706	+	0.259298i
$483$	13.2291	−	0.395496i	0.601945	−	0.0179957i
$484$	0.603249	−	0.506186i	0.0274204	−	0.0230085i
$485$	15.9321	−	19.7416i	0.723440	−	0.896418i
$486$	14.0415	+	17.6135i	0.636936	+	0.798962i
$487$	5.75543	+	9.96870i	0.260803	+	0.451725i	0.966456	−	0.256834i	$-0.0826792\pi$
$487$	5.75543	+	9.96870i	0.260803	+	0.451725i	−0.705652	+	0.708558i	$0.749346\pi$
$488$	9.63973	−	26.4850i	0.436370	−	1.19892i
$489$	−30.0232	+	11.9552i	−1.35770	+	0.540633i
$490$	−7.53565	+	2.90706i	−0.340426	+	0.131327i
$491$	6.63381	+	18.2262i	0.299379	+	0.822538i	0.994604	+	0.103746i	$0.0330828\pi$
$491$	6.63381	+	18.2262i	0.299379	+	0.822538i	−0.695224	+	0.718793i	$0.744695\pi$
$492$	1.47093	+	0.214261i	0.0663147	+	0.00965962i
$493$	−1.78070			−0.0801987
$494$	−1.96786	+	4.18168i	−0.0885382	+	0.188143i
$495$	−28.8704	−	7.99557i	−1.29763	−	0.359374i
$496$	−3.19384	+	3.80627i	−0.143408	+	0.170907i
$497$	4.26074	+	11.7063i	0.191120	+	0.525099i
$498$	14.9645	−	13.3387i	0.670577	−	0.597723i
$499$	4.79145	−	27.1737i	0.214495	−	1.21646i	−0.667286	−	0.744801i	$-0.732544\pi$
$499$	4.79145	−	27.1737i	0.214495	−	1.21646i	0.881781	−	0.471659i	$-0.156345\pi$
$500$	−0.958159	+	0.226250i	−0.0428502	+	0.0101182i
$501$	7.11453	−	13.2200i	0.317854	−	0.590625i
$502$	9.57479	−	16.5840i	0.427344	−	0.740181i
$503$	8.03032	−	6.73824i	0.358054	−	0.300443i	−0.445960	−	0.895053i	$-0.647138\pi$
$503$	8.03032	−	6.73824i	0.358054	−	0.300443i	0.804015	+	0.594610i	$0.202693\pi$
$504$	−4.08217	−	17.1023i	−0.181834	−	0.761798i
$505$	11.8687	+	4.06467i	0.528152	+	0.180875i
$506$	−11.6219	−	20.1298i	−0.516658	−	0.894879i
$507$	−21.1348	+	4.38157i	−0.938628	+	0.194592i
$508$	−0.0171173	+	0.0970768i	−0.000759456	+	0.00430709i
$509$	0.447540	+	2.53812i	0.0198368	+	0.112500i	0.993118	−	0.117115i	$-0.0373645\pi$
$509$	0.447540	+	2.53812i	0.0198368	+	0.112500i	−0.973282	+	0.229615i	$0.926253\pi$
$510$	−2.99955	−	1.54105i	−0.132822	−	0.0682387i
$511$	4.10419	+	3.44383i	0.181559	+	0.152346i
$512$			20.9576i			0.926205i
$513$	22.3098	−	3.90812i	0.985001	−	0.172547i
$514$	−1.45236			−0.0640610
$515$	−26.8078	−	14.8016i	−1.18129	−	0.652235i
$516$	−1.23777	−	0.977096i	−0.0544897	−	0.0430142i
$517$	−27.0721	+	4.77354i	−1.19063	+	0.209940i
$518$	−6.10736	+	34.6366i	−0.268342	+	1.52184i
$519$	0.209238	+	1.00927i	0.00918454	+	0.0443022i
$520$	−3.41605	+	2.97951i	−0.149803	+	0.130660i
$521$	−7.38853	+	12.7973i	−0.323697	+	0.560660i	−0.981248	−	0.192750i	$-0.938259\pi$
$521$	−7.38853	+	12.7973i	−0.323697	+	0.560660i	0.657550	+	0.753410i	$0.271593\pi$
$522$	−12.4608	+	2.97429i	−0.545396	+	0.130181i
$523$	−2.97632	+	2.49743i	−0.130145	+	0.109205i	−0.705537	−	0.708673i	$-0.749294\pi$
$523$	−2.97632	+	2.49743i	−0.130145	+	0.109205i	0.575392	+	0.817878i	$0.304850\pi$
$524$	−0.250571	−	0.144667i	−0.0109462	−	0.00631981i
$525$	−1.95130	+	18.2678i	−0.0851616	+	0.797274i
$526$	−3.88370	+	10.6704i	−0.169337	+	0.465251i
$527$	0.707353	+	0.124725i	0.0308128	+	0.00543312i
$528$	−24.0684	+	21.4535i	−1.04744	+	0.933642i
$529$	9.42099	−	3.42896i	0.409608	−	0.149085i
$530$	27.4035	+	15.1305i	1.19033	+	0.657225i
$531$	11.4695	−	22.9289i	0.497735	−	0.995029i
$532$	0.785767	+	0.213506i	0.0340673	+	0.00925667i
$533$	−7.15102			−0.309745
$534$	−2.28275	+	15.6714i	−0.0987841	+	0.678168i
$535$	4.94322	+	8.19599i	0.213714	+	0.354344i
$536$	16.4272	−	2.89655i	0.709546	−	0.125112i
$537$	−17.0498	−	42.8173i	−0.735754	−	1.84770i
$538$	−9.96810	+	27.3871i	−0.429755	+	1.18074i
$539$	9.66753	−	5.58155i	0.416410	−	0.240414i
$540$	−0.993736	−	0.243487i	−0.0427636	−	0.0104780i
$541$	−20.5634	+	17.2548i	−0.884090	+	0.741840i	−0.967016	−	0.254716i	$-0.918018\pi$
$541$	−20.5634	+	17.2548i	−0.884090	+	0.741840i	0.0829258	+	0.996556i	$0.473574\pi$
$542$	−11.3697	−	13.5499i	−0.488370	−	0.582017i
$543$	37.5316	−	1.12204i	1.61063	−	0.0481514i
$544$	−0.259754	+	0.149969i	−0.0111369	+	0.00642988i
$545$	−0.192898	+	1.23116i	−0.00826284	+	0.0527371i
$546$	−1.44123	−	3.61938i	−0.0616790	−	0.154895i
$547$	0.989776	+	5.61330i	0.0423198	+	0.240007i	0.998629	−	0.0523505i	$-0.0166713\pi$
$547$	0.989776	+	5.61330i	0.0423198	+	0.240007i	−0.956309	+	0.292358i	$0.905560\pi$
$548$	−0.412635	+	0.150187i	−0.0176269	+	0.00641567i
$549$	−28.0824	+	12.1668i	−1.19853	+	0.519265i
$550$	29.8755	−	12.1862i	1.27389	−	0.519623i
$551$	−3.37764	+	12.4307i	−0.143892	+	0.529566i
$552$	9.06049	+	14.6631i	0.385640	+	0.624102i
$553$	−16.7707	−	14.0723i	−0.713163	−	0.598415i
$554$	18.0288	−	6.56193i	0.765969	−	0.278790i
$555$	−35.3984	−	26.8614i	−1.50258	−	1.14020i
$556$	0.243054	−	1.37843i	0.0103078	−	0.0584583i
$557$	−35.4273	−	12.8945i	−1.50110	−	0.546357i	−0.544757	−	0.838594i	$-0.683378\pi$
$557$	−35.4273	−	12.8945i	−1.50110	−	0.546357i	−0.956346	+	0.292237i	$0.905600\pi$
$558$	5.15819	−	0.308693i	0.218363	−	0.0130680i
$559$	6.57001	+	3.79320i	0.277882	+	0.160435i
$560$	15.3871	+	12.4179i	0.650224	+	0.524752i
$561$	4.42538	+	1.46249i	0.186840	+	0.0617464i
$562$	−8.60572	−	4.96851i	−0.363010	−	0.209584i
$563$	−15.3985	+	8.89034i	−0.648970	+	0.374683i	−0.788062	−	0.615596i	$-0.788915\pi$
$563$	−15.3985	+	8.89034i	−0.648970	+	0.374683i	0.139091	+	0.990280i	$0.455582\pi$
$564$	−0.919314	+	0.190588i	−0.0387101	+	0.00802521i
$565$	18.3124	−	0.350115i	0.770408	−	0.0147294i
$566$	5.88014	+	33.3480i	0.247161	+	1.40172i
$567$	−10.4405	+	15.9850i	−0.438460	+	0.671305i
$568$	−10.4286	+	12.4283i	−0.437575	+	0.521482i
$569$	−33.9669			−1.42397			−0.711984	−	0.702196i	$-0.752203\pi$
$569$	−33.9669			−1.42397			−0.711984	+	0.702196i	$0.752203\pi$
$570$	−16.4473	+	18.0162i	−0.688902	+	0.754615i
$571$	−9.95559			−0.416629			−0.208314	−	0.978062i	$-0.566798\pi$
$571$	−9.95559			−0.416629			−0.208314	+	0.978062i	$0.566798\pi$
$572$	−0.185468	+	0.221032i	−0.00775479	+	0.00924180i
$573$	20.1497	+	15.9062i	0.841764	+	0.664490i
$574$	5.18786	+	29.4218i	0.216537	+	1.22804i
$575$	−3.80307	−	17.6039i	−0.158599	−	0.734132i
$576$	16.5971	−	15.7087i	0.691546	−	0.654530i
$577$	−27.1144	+	15.6545i	−1.12879	+	0.651706i	−0.943630	−	0.331003i	$-0.892613\pi$
$577$	−27.1144	+	15.6545i	−1.12879	+	0.651706i	−0.185158	+	0.982709i	$0.559280\pi$
$578$	−20.8197	−	12.0203i	−0.865986	−	0.499977i
$579$	9.27891	−	28.0772i	0.385619	−	1.16685i
$580$	0.365439	−	0.452818i	0.0151740	−	0.0188022i
$581$	14.7148	+	8.49562i	0.610475	+	0.352458i
$582$	−13.4563	+	25.0041i	−0.557783	+	1.03645i
$583$	−40.6547	−	14.7971i	−1.68374	−	0.612833i
$584$	−1.21163	+	6.87150i	−0.0501376	+	0.284345i
$585$	4.89958	+	0.470040i	0.202573	+	0.0194338i
$586$	−41.8166	+	15.2200i	−1.72743	+	0.628732i
$587$	14.6685	+	12.3084i	0.605436	+	0.508021i	0.893188	−	0.449684i	$-0.148463\pi$
$587$	14.6685	+	12.3084i	0.605436	+	0.508021i	−0.287752	+	0.957705i	$0.592908\pi$
$588$	0.324333	−	0.200409i	0.0133753	−	0.00826473i
$589$	2.21239	−	4.70131i	0.0911600	−	0.193714i
$590$	5.31386	+	27.0967i	0.218768	+	1.11555i
$591$	10.2482	+	1.49278i	0.421553	+	0.0614047i
$592$	−44.9410	+	16.3572i	−1.84707	+	0.672277i
$593$	3.86697	+	21.9307i	0.158798	+	0.900585i	0.955231	+	0.295860i	$0.0956061\pi$
$593$	3.86697	+	21.9307i	0.158798	+	0.900585i	−0.796434	+	0.604726i	$0.793283\pi$
$594$	33.4104	+	2.84243i	1.37084	+	0.116626i
$595$	0.442441	−	2.82386i	0.0181383	−	0.115767i
$596$	0.0363603	−	0.0209926i	0.00148938	−	0.000859892i
$597$	0.203111	+	6.79395i	0.00831280	+	0.278058i
$598$	2.45484	+	2.92557i	0.100386	+	0.119635i
$599$	−25.1450	+	21.0992i	−1.02740	+	0.862088i	−0.990539	−	0.137232i	$-0.956179\pi$
$599$	−25.1450	+	21.0992i	−1.02740	+	0.862088i	−0.0368580	+	0.999321i	$0.511735\pi$
$600$	−21.8743	+	9.69471i	−0.893013	+	0.395785i
$601$	−39.7903	+	22.9729i	−1.62308	+	0.937086i	−0.636990	+	0.770872i	$0.719821\pi$
$601$	−39.7903	+	22.9729i	−1.62308	+	0.937086i	−0.986090	+	0.166214i	$0.946846\pi$
$602$	10.8402	−	29.7832i	0.441813	−	1.21387i
$603$	−14.5460	−	10.7930i	−0.592358	−	0.439526i
$604$	−0.597021	+	0.105271i	−0.0242924	+	0.00428341i
$605$	−17.1236	+	10.3277i	−0.696172	+	0.419880i
$606$	−13.8955	−	2.02406i	−0.564466	−	0.0822220i
$607$	12.5374			0.508876			0.254438	−	0.967089i	$-0.418110\pi$
$607$	12.5374			0.508876			0.254438	+	0.967089i	$0.418110\pi$
$608$	0.554203	+	2.09775i	0.0224759	+	0.0850752i
$609$	−5.70780	−	9.23725i	−0.231292	−	0.374312i
$610$	15.9327	−	28.8564i	0.645095	−	1.16836i
$611$	4.24428	−	1.54479i	0.171705	−	0.0624956i
$612$	0.152566	+	0.0454100i	0.00616711	+	0.00183559i
$613$	−17.2328	−	3.03860i	−0.696024	−	0.122728i	−0.185568	−	0.982631i	$-0.559412\pi$
$613$	−17.2328	−	3.03860i	−0.696024	−	0.122728i	−0.510457	+	0.859904i	$0.670524\pi$
$614$	13.3980	−	36.8106i	0.540698	−	1.48555i
$615$	−36.0595	−	11.1570i	−1.45406	−	0.449893i
$616$	−22.6668	−	13.0867i	−0.913273	−	0.527278i
$617$	20.2530	−	16.9943i	0.815355	−	0.684164i	−0.136525	−	0.990637i	$-0.543593\pi$
$617$	20.2530	−	16.9943i	0.815355	−	0.684164i	0.951879	+	0.306473i	$0.0991489\pi$
$618$	32.5448	+	10.7553i	1.30914	+	0.432643i
$619$	−21.9625	+	38.0401i	−0.882747	+	1.52896i	−0.0344716	+	0.999406i	$0.510975\pi$
$619$	−21.9625	+	38.0401i	−0.882747	+	1.52896i	−0.848275	+	0.529556i	$0.822359\pi$
$620$	−0.176881	+	0.154278i	−0.00710371	+	0.00619594i
$621$	4.80089	−	18.0903i	0.192653	−	0.725940i
$622$	4.46644	−	25.3304i	0.179088	−	1.01566i
$623$	−13.2192	+	2.33091i	−0.529618	+	0.0933859i
$624$	3.28235	−	4.15803i	0.131399	−	0.166454i
$625$	24.9269	−	1.90981i	0.997078	−	0.0763922i
$626$	40.8288			1.63185
$627$	18.6034	−	28.1186i	0.742950	−	1.12295i
$628$		−	0.763630i		−	0.0304721i
$629$	5.29602	+	4.44389i	0.211166	+	0.177189i
$630$	−1.62059	−	20.4996i	−0.0645658	−	0.816722i
$631$	−1.15134	−	6.52956i	−0.0458340	−	0.259938i	0.953277	−	0.302098i	$-0.0976870\pi$
$631$	−1.15134	−	6.52956i	−0.0458340	−	0.259938i	−0.999111	+	0.0421605i	$0.986576\pi$
$632$	4.95101	−	28.0786i	0.196941	−	1.11691i
$633$	2.54052	+	12.2543i	0.100977	+	0.487066i
$634$	−14.0075	−	24.2617i	−0.556308	−	0.963554i
$635$	0.811003	−	2.36811i	0.0321837	−	0.0939757i
$636$	−1.40297	−	0.463650i	−0.0556313	−	0.0183849i
$637$	−1.40503	+	1.17896i	−0.0556694	+	0.0467122i
$638$	−9.53504	+	16.5152i	−0.377496	+	0.653842i
$639$	17.5856	−	1.05242i	0.695677	−	0.0416330i
$640$	−4.15446	+	26.5156i	−0.164220	+	1.04812i
$641$	−4.24674	+	24.0844i	−0.167736	+	0.951278i	0.778462	+	0.627691i	$0.216000\pi$
$641$	−4.24674	+	24.0844i	−0.167736	+	0.951278i	−0.946198	+	0.323587i	$0.895111\pi$
$642$	−7.12845	−	7.99731i	−0.281337	−	0.315629i
$643$	6.05603	+	16.6388i	0.238826	+	0.656170i	0.999971	+	0.00758809i	$0.00241539\pi$
$643$	6.05603	+	16.6388i	0.238826	+	0.656170i	−0.761145	+	0.648582i	$0.775362\pi$
$644$	0.432509	−	0.515445i	0.0170433	−	0.0203114i
$645$	27.2116	+	29.3780i	1.07146	+	1.15676i
$646$	2.69313	−	2.67427i	0.105960	−	0.105218i
$647$	−7.28035			−0.286220			−0.143110	−	0.989707i	$-0.545710\pi$
$647$	−7.28035			−0.286220			−0.143110	+	0.989707i	$0.545710\pi$
$648$	−24.8274	−	1.36651i	−0.975314	−	0.0536816i
$649$	−13.0527	−	35.8620i	−0.512364	−	1.40771i
$650$	−4.48639	+	2.82420i	−0.175971	+	0.110774i
$651$	1.62032	+	4.06913i	0.0635055	+	0.159482i
$652$	−0.561917	+	1.54385i	−0.0220064	+	0.0604620i
$653$	−0.288423	−	0.499563i	−0.0112869	−	0.0195494i	0.860327	−	0.509743i	$-0.170259\pi$
$653$	−0.288423	−	0.499563i	−0.0112869	−	0.0195494i	−0.871614	+	0.490193i	$0.836926\pi$
$654$	−0.0416817	−	1.39423i	−0.00162989	−	0.0545187i
$655$	5.71751	+	4.61422i	0.223402	+	0.180293i
$656$	−31.1204	+	26.1132i	−1.21505	+	1.01955i
$657$	6.32351	−	4.17352i	0.246704	−	0.162824i
$658$	−9.43491	−	16.3417i	−0.367811	−	0.637067i
$659$	27.0163	+	9.83311i	1.05240	+	0.383044i	0.809570	−	0.587024i	$-0.199701\pi$
$659$	27.0163	+	9.83311i	1.05240	+	0.383044i	0.242835	+	0.970068i	$0.421923\pi$
$660$	−1.28009	+	0.825202i	−0.0498272	+	0.0321210i
$661$	−22.5840	+	3.98217i	−0.878416	+	0.154888i	−0.594630	−	0.803999i	$-0.702701\pi$
$661$	−22.5840	+	3.98217i	−0.878416	+	0.154888i	−0.283786	+	0.958888i	$0.591590\pi$
$662$	6.35428	−	2.31277i	0.246966	−	0.0898882i
$663$	−0.757786	−	0.110382i	−0.0294300	−	0.00428687i
$664$			22.1285i			0.858751i
$665$	−18.8735	−	8.44489i	−0.731885	−	0.327479i
$666$	44.4827	+	22.2512i	1.72367	+	0.862216i
$667$	8.15426	+	6.84224i	0.315734	+	0.264932i
$668$	−0.261046	−	0.717219i	−0.0101002	−	0.0277500i
$669$	−3.18116	−	3.56890i	−0.122991	−	0.137982i
$670$	19.5048	−	0.372913i	0.753537	−	0.0144069i
$671$	−15.5816	+	42.8102i	−0.601522	+	1.65267i
$672$	−1.61056	−	0.866749i	−0.0621288	−	0.0334356i
$673$	20.4788	−	35.4703i	0.789400	−	1.36728i	−0.136936	−	0.990580i	$-0.543725\pi$
$673$	20.4788	−	35.4703i	0.789400	−	1.36728i	0.926335	−	0.376700i	$-0.122941\pi$
$674$	10.7278	+	12.7849i	0.413218	+	0.492454i
$675$	23.9731	+	10.0145i	0.922725	+	0.385458i
$676$	−0.548668	+	0.950320i	−0.0211026	+	0.0365508i
$677$	1.12392	−	0.648894i	0.0431956	−	0.0249390i	−0.478247	−	0.878226i	$-0.658728\pi$
$677$	1.12392	−	0.648894i	0.0431956	−	0.0249390i	0.521442	+	0.853287i	$0.325394\pi$
$678$	−20.0740	+	4.16165i	−0.770936	+	0.159827i
$679$	−23.7018	−	4.17927i	−0.909592	−	0.160386i
$680$	3.47303	−	1.33980i	0.133185	−	0.0513791i
$681$	11.1640	+	8.81288i	0.427806	+	0.337710i
$682$	4.94440	−	5.89251i	0.189331	−	0.225636i
$683$		−	17.5433i		−	0.671276i	−0.941991	−	0.335638i	$-0.891048\pi$
$683$		−	17.5433i		−	0.671276i	0.941991	−	0.335638i	$-0.108952\pi$
$684$	0.606385	−	0.978898i	0.0231857	−	0.0374291i
$685$	10.9422	−	2.14585i	0.418082	−	0.0819888i
$686$	22.3077	+	18.7184i	0.851714	+	0.714673i
$687$	12.7378	−	16.1360i	0.485977	−	0.615627i
$688$	42.4435	−	7.48393i	1.61814	−	0.285322i
$689$	7.00041	+	1.23436i	0.266694	+	0.0470254i
$690$	7.81427	+	18.5824i	0.297484	+	0.707420i
$691$	23.5834	+	40.8477i	0.897155	+	1.55392i	0.831114	+	0.556102i	$0.187703\pi$
$691$	23.5834	+	40.8477i	0.897155	+	1.55392i	0.0660408	+	0.997817i	$0.478963\pi$
$692$	0.0453818	+	0.0262012i	0.00172516	+	0.000996019i
$693$	6.59841	+	27.6442i	0.250653	+	1.05011i
$694$	25.8506	+	30.8075i	0.981275	+	1.16944i
$695$	−11.5157	+	33.6257i	−0.436816	+	1.27549i
$696$	6.70160	−	12.4527i	0.254023	−	0.472017i
$697$	5.51844	+	2.00855i	0.209026	+	0.0760791i
$698$	40.6983	+	7.17621i	1.54045	+	0.271624i
$699$	−5.45497	−	6.11986i	−0.206326	−	0.231474i
$700$	0.627285	+	0.692027i	0.0237091	+	0.0261561i
$701$	29.0235	−	34.5888i	1.09620	−	1.30640i	0.147911	−	0.989001i	$-0.452745\pi$
$701$	29.0235	−	34.5888i	1.09620	−	1.30640i	0.948291	−	0.317402i	$-0.102810\pi$
$702$	−5.48715	+	0.493306i	−0.207099	+	0.0186186i
$703$	41.0674	−	28.5413i	1.54889	−	1.07646i
$704$		−	34.0176i		−	1.28208i
$705$	23.8123	−	1.16782i	0.896821	−	0.0439828i
$706$	15.6689	+	43.0500i	0.589708	+	1.62021i
$707$	−2.06677	−	11.7212i	−0.0777289	−	0.440822i
$708$	−0.482193	−	1.21093i	−0.0181219	−	0.0455097i
$709$	−20.5832	−	7.49167i	−0.773019	−	0.281356i	−0.0747602	−	0.997202i	$-0.523819\pi$
$709$	−20.5832	−	7.49167i	−0.773019	−	0.281356i	−0.698258	+	0.715846i	$0.746041\pi$
$710$	−14.2995	+	12.4722i	−0.536650	+	0.468072i
$711$	−25.8394	+	17.0540i	−0.969052	+	0.639574i
$712$	−11.2370	−	13.3917i	−0.421123	−	0.501875i
$713$	−2.75989	−	3.28911i	−0.103359	−	0.123178i
$714$	0.0956034	+	3.19788i	0.00357787	+	0.119677i
$715$	5.52168	−	4.81608i	0.206499	−	0.180111i
$716$	−2.20176	−	0.801374i	−0.0822835	−	0.0299487i
$717$	4.20847	−	1.67581i	0.157168	−	0.0625842i
$718$	8.08366	+	45.8447i	0.301680	+	1.71091i
$719$	−14.1914	−	38.9906i	−0.529250	−	1.45410i	−0.859956	−	0.510369i	$-0.829509\pi$
$719$	−14.1914	−	38.9906i	−0.529250	−	1.45410i	0.330706	−	0.943734i	$-0.392713\pi$
$720$	23.0388	−	15.8461i	0.858607	−	0.590548i
$721$			29.0521i			1.08196i
$722$	−13.5603	−	23.8727i	−0.504660	−	0.888452i
$723$	4.14174	+	6.70280i	0.154033	+	0.249280i
$724$	1.22705	−	1.46234i	0.0456029	−	0.0543475i
$725$	−10.9478	+	9.92355i	−0.406590	+	0.368552i
$726$	16.7085	−	14.8932i	0.620109	−	0.552738i
$727$	1.41010	+	0.248638i	0.0522977	+	0.00922149i	0.199736	−	0.979850i	$-0.435992\pi$
$727$	1.41010	+	0.248638i	0.0522977	+	0.00922149i	−0.147438	+	0.989071i	$0.547103\pi$
$728$	4.04104	+	1.47082i	0.149771	+	0.0545122i
$729$	17.4541	+	20.5998i	0.646449	+	0.762957i
$730$	−2.64392	+	7.72019i	−0.0978559	+	0.285737i
$731$	−4.00466	−	4.77256i	−0.148118	−	0.176520i
$732$	−0.488233	+	1.47735i	−0.0180456	+	0.0546046i
$733$	18.6262	+	10.7539i	0.687975	+	0.397203i	0.802853	−	0.596177i	$-0.203314\pi$
$733$	18.6262	+	10.7539i	0.687975	+	0.397203i	−0.114878	+	0.993380i	$0.536648\pi$
$734$	−17.5898	−	30.4664i	−0.649251	−	1.12454i
$735$	−8.92438	+	3.75288i	−0.329181	+	0.138427i
$736$	1.76573	+	0.311345i	0.0650855	+	0.0114763i
$737$	−26.5528	+	4.68198i	−0.978086	+	0.172463i
$738$	41.9714	+	4.83784i	1.54499	+	0.178083i
$739$	2.38592	+	2.00202i	0.0877674	+	0.0736456i	0.685616	−	0.727964i	$-0.259533\pi$
$739$	2.38592	+	2.00202i	0.0877674	+	0.0736456i	−0.597848	+	0.801609i	$0.703977\pi$
$740$	−2.21691	+	0.434751i	−0.0814951	+	0.0159818i
$741$	−2.20792	+	5.08058i	−0.0811101	+	0.186640i
$742$		−	29.6976i		−	1.09023i
$743$	−0.377451	+	0.449829i	−0.0138473	+	0.0165026i	−0.772924	−	0.634499i	$-0.781206\pi$
$743$	−0.377451	+	0.449829i	−0.0138473	+	0.0165026i	0.759076	+	0.651002i	$0.225651\pi$
$744$	−3.53432	+	4.47721i	−0.129574	+	0.164143i
$745$	−0.994698	+	0.383728i	−0.0364429	+	0.0140587i
$746$	1.30729	+	0.230511i	0.0478633	+	0.00843960i
$747$	17.4513	−	16.5172i	0.638511	−	0.604334i
$748$	0.205207	−	0.118477i	0.00750313	−	0.00433193i
$749$	4.54021	−	7.86387i	0.165896	−	0.287340i
$750$	−27.0293	+	7.24161i	−0.986969	+	0.264426i
$751$	−26.0510	−	31.0463i	−0.950613	−	1.13290i	−0.991020	−	0.133713i	$-0.957310\pi$
$751$	−26.0510	−	31.0463i	−0.950613	−	1.13290i	0.0404068	−	0.999183i	$-0.487135\pi$
$752$	12.8296	−	22.2214i	0.467846	−	0.810333i
$753$	10.8776	−	20.2124i	0.396402	−	0.736580i
$754$	1.07165	−	2.94432i	0.0390271	−	0.107226i
$755$	15.3914	−	0.294269i	0.560152	−	0.0107095i
$756$	0.253469	+	0.936980i	0.00921859	+	0.0340776i
$757$	0.0884273	+	0.242952i	0.00321395	+	0.00883024i	0.941289	−	0.337601i	$-0.109616\pi$
$757$	0.0884273	+	0.242952i	0.00321395	+	0.00883024i	−0.938075	+	0.346431i	$0.887393\pi$
$758$	−32.6157	−	27.3678i	−1.18466	−	0.994044i
$759$	−14.6453	−	23.7014i	−0.531592	−	0.860305i
$760$	−2.76525	−	26.7859i	−0.100306	−	0.971626i
$761$			0.766024i			0.0277683i	0.999904	+	0.0138842i	$0.00441961\pi$
$761$			0.766024i			0.0277683i	−0.999904	+	0.0138842i	$0.995580\pi$
$762$	−0.403852	+	2.77250i	−0.0146300	+	0.100437i
$763$	1.11097	−	0.404360i	0.0402198	−	0.0146388i
$764$	1.28530	−	0.226632i	0.0465004	−	0.00819927i
$765$	−3.64897	−	1.73890i	−0.131929	−	0.0628701i
$766$	−20.6728	−	7.52429i	−0.746939	−	0.271864i
$767$	3.13521	+	5.43034i	0.113206	+	0.196078i
$768$	−0.109175	−	3.65184i	−0.00393952	−	0.131775i
$769$	12.2740	−	10.2991i	0.442613	−	0.371397i	−0.394073	−	0.919079i	$-0.628934\pi$
$769$	12.2740	−	10.2991i	0.442613	−	0.371397i	0.836686	+	0.547683i	$0.184490\pi$
$770$	−23.8208	−	19.2242i	−0.858443	−	0.692792i
$771$	−1.74009	+	0.0520215i	−0.0626677	+	0.00187351i
$772$	−0.751686	−	1.30196i	−0.0270538	−	0.0468585i
$773$	0.266365	−	0.731831i	0.00958047	−	0.0263221i	−0.934810	−	0.355148i	$-0.884431\pi$
$773$	0.266365	−	0.731831i	0.00958047	−	0.0263221i	0.944391	+	0.328826i	$0.106653\pi$
$774$	−35.9951	−	26.7081i	−1.29382	−	0.960004i
$775$	5.04388	−	3.17515i	0.181182	−	0.114055i
$776$	−10.7203	−	29.4538i	−0.384837	−	1.05733i
$777$	−6.07664	+	41.7170i	−0.217998	+	1.49659i
$778$	−31.4424			−1.12726
$779$	24.4887	−	34.7133i	0.877397	−	1.24373i
$780$	0.183584	−	0.170046i	0.00657335	−	0.00608863i
$781$	16.8568	−	20.0891i	0.603183	−	0.718846i
$782$	−1.07268	−	2.94716i	−0.0383589	−	0.105390i
$783$	−14.8229	+	4.00985i	−0.529727	+	0.143300i
$784$	−1.80936	+	10.2614i	−0.0646202	+	0.366479i
$785$	−3.00158	+	19.1574i	−0.107131	+	0.683758i
$786$	−7.24162	−	3.89719i	−0.258300	−	0.139008i
$787$	−0.427406	+	0.740288i	−0.0152354	+	0.0263884i	−0.873543	−	0.486748i	$-0.838183\pi$
$787$	−0.427406	+	0.740288i	−0.0152354	+	0.0263884i	0.858307	+	0.513136i	$0.171516\pi$
$788$	0.403332	−	0.338436i	0.0143681	−	0.0120563i
$789$	−4.27089	+	12.9234i	−0.152048	+	0.460084i
$790$	10.8037	−	31.5465i	0.384378	−	1.12238i
$791$	−8.68819	−	15.0484i	−0.308916	−	0.535059i
$792$	−26.8821	+	25.4432i	−0.955215	+	0.904086i
$793$	1.29981	−	7.37158i	0.0461575	−	0.261772i
$794$	0.926076	+	5.25204i	0.0328652	+	0.186388i
$795$	33.3742	+	17.1463i	1.18366	+	0.608118i
$796$	0.264712	+	0.222120i	0.00938248	+	0.00787284i
$797$		−	13.5111i		−	0.478587i	−0.970947	−	0.239293i	$-0.923084\pi$
$797$		−	13.5111i		−	0.478587i	0.970947	−	0.239293i	$-0.0769158\pi$
$798$	22.5051	+	5.39835i	0.796671	+	0.191100i
$799$	−3.70920			−0.131222
$800$	−0.761217	+	2.36958i	−0.0269131	+	0.0837773i
$801$	−2.17365	+	18.8578i	−0.0768021	+	0.666307i
$802$	−51.1708	+	9.02280i	−1.80690	+	0.318606i
$803$	1.95848	−	11.1071i	0.0691131	−	0.391960i
$804$	−0.901680	+	0.186932i	−0.0317998	+	0.00659260i
$805$	−12.8765	+	11.2311i	−0.453838	+	0.395843i
$806$	−0.631922	+	1.09452i	−0.0222585	+	0.0385529i
$807$	−10.9619	+	33.1697i	−0.385876	+	1.16763i
$808$	11.8741	−	9.96358i	0.417731	−	0.350518i
$809$	19.1740	+	11.0701i	0.674120	+	0.389204i	0.797636	−	0.603139i	$-0.206084\pi$
$809$	19.1740	+	11.0701i	0.674120	+	0.389204i	−0.123516	+	0.992343i	$0.539417\pi$
$810$	−28.4390	−	6.07348i	−0.999244	−	0.213400i
$811$	0.469071	−	1.28876i	0.0164713	−	0.0452545i	−0.931185	−	0.364548i	$-0.881223\pi$
$811$	0.469071	−	1.28876i	0.0164713	−	0.0452545i	0.947656	+	0.319294i	$0.103446\pi$
$812$	−0.543655	−	0.0958610i	−0.0190785	−	0.00336406i
$813$	−14.1074	−	15.8270i	−0.494770	−	0.555076i
$814$	69.5734	−	25.3226i	2.43855	−	0.887558i
$815$	20.1654	−	36.5224i	0.706362	−	1.27933i
$816$	−3.70088	+	2.28681i	−0.129557	+	0.0800545i
$817$	−40.9124	+	18.9031i	−1.43134	+	0.661336i
$818$	−12.7622			−0.446221
$819$	−1.85639	−	4.28478i	−0.0648675	−	0.149722i
$820$	−1.64326	+	0.991096i	−0.0573852	+	0.0346106i
$821$	8.98432	−	1.58418i	0.313555	−	0.0552882i	−0.0146562	−	0.999893i	$-0.504665\pi$
$821$	8.98432	−	1.58418i	0.313555	−	0.0552882i	0.328211	+	0.944604i	$0.393554\pi$
$822$	−11.5955	+	4.61730i	−0.404438	+	0.161047i
$823$	−8.17303	+	22.4552i	−0.284894	+	0.782740i	0.711867	+	0.702315i	$0.247850\pi$
$823$	−8.17303	+	22.4552i	−0.284894	+	0.782740i	−0.996761	+	0.0804251i	$0.974372\pi$
$824$	−32.7668	+	18.9179i	−1.14149	+	0.659037i
$825$	35.3575	−	15.6705i	1.23099	−	0.545577i
$826$	20.0678	−	16.8389i	0.698249	−	0.585900i
$827$	−18.7008	−	22.2867i	−0.650289	−	0.774984i	0.335668	−	0.941980i	$-0.391038\pi$
$827$	−18.7008	−	22.2867i	−0.650289	−	0.774984i	−0.985958	+	0.166996i	$0.946593\pi$
$828$	−0.524151	−	0.794169i	−0.0182155	−	0.0275993i
$829$	28.4257	−	16.4116i	0.987266	−	0.569998i	0.0828099	−	0.996565i	$-0.473611\pi$
$829$	28.4257	−	16.4116i	0.987266	−	0.569998i	0.904456	+	0.426567i	$0.140277\pi$
$830$	−4.00597	+	25.5679i	−0.139049	+	0.887475i
$831$	21.3653	−	8.50766i	0.741156	−	0.295127i
$832$	0.970556	+	5.50430i	0.0336480	+	0.190827i
$833$	1.41540	−	0.515165i	0.0490408	−	0.0178494i
$834$	5.73443	−	39.3677i	0.198567	−	1.36319i
$835$	3.72979	+	19.0192i	0.129075	+	0.658186i
$836$	−0.437823	−	1.65724i	−0.0151424	−	0.0573168i
$837$	6.16900	−	0.554606i	0.213232	−	0.0191700i
$838$	−8.46558	−	7.10346i	−0.292439	−	0.245385i
$839$	2.06590	−	0.751928i	0.0713229	−	0.0259594i	−0.306112	−	0.951995i	$-0.599028\pi$
$839$	2.06590	−	0.751928i	0.0713229	−	0.0259594i	0.377435	+	0.926036i	$0.376806\pi$
$840$	18.0825	+	13.7215i	0.623905	+	0.473437i
$841$	−3.51929	+	19.9589i	−0.121355	+	0.688238i
$842$	−23.3621	−	8.50311i	−0.805111	−	0.293036i
$843$	−10.4885	−	5.64457i	−0.361244	−	0.194409i
$844$	0.551014	+	0.318128i	0.0189667	+	0.0109504i
$845$	17.5000	−	21.6843i	0.602018	−	0.745964i
$846$	−25.9559	+	6.19545i	−0.892384	+	0.213004i
$847$	16.4297	+	9.48568i	0.564530	+	0.325932i
$848$	34.9725	−	20.1914i	1.20096	−	0.693374i
$849$	8.23951	+	39.7438i	0.282779	+	1.36400i
$850$	4.25539	−	0.919319i	0.145959	−	0.0315324i
$851$	−7.17639	−	40.6993i	−0.246003	−	1.39515i
$852$	0.554953	−	0.703005i	0.0190124	−	0.0240846i
$853$	−28.0589	+	33.4393i	−0.960718	+	1.14494i	0.0286621	+	0.999589i	$0.490875\pi$
$853$	−28.0589	+	33.4393i	−0.960718	+	1.14494i	−0.989380	+	0.145350i	$0.953569\pi$
$854$	−31.2722			−1.07011
$855$	−19.0603	+	22.1744i	−0.651849	+	0.758349i
$856$	11.8258			0.404199
$857$	−28.4583	+	33.9152i	−0.972116	+	1.15852i	0.0152211	+	0.999884i	$0.495155\pi$
$857$	−28.4583	+	33.9152i	−0.972116	+	1.15852i	−0.987337	+	0.158638i	$0.949290\pi$
$858$	−5.08142	+	6.43706i	−0.173477	+	0.219758i
$859$	−5.57759	−	31.6321i	−0.190305	−	1.07927i	−0.918948	−	0.394379i	$-0.870960\pi$
$859$	−5.57759	−	31.6321i	−0.190305	−	1.07927i	0.728643	−	0.684894i	$-0.240151\pi$
$860$	2.03547	−	0.0389161i	0.0694089	−	0.00132703i
$861$	7.26945	+	35.0646i	0.247742	+	1.19500i
$862$	−24.1200	+	13.9257i	−0.821531	+	0.474311i
$863$	3.43673	+	1.98420i	0.116988	+	0.0675428i	0.557352	−	0.830276i	$-0.311817\pi$
$863$	3.43673	+	1.98420i	0.116988	+	0.0675428i	−0.440364	+	0.897819i	$0.645151\pi$
$864$	−1.82454	+	1.83330i	−0.0620720	+	0.0623700i
$865$	−1.03552	−	0.835698i	−0.0352087	−	0.0284146i
$866$	24.8113	+	14.3248i	0.843123	+	0.486777i
$867$	−25.3748	−	13.6558i	−0.861773	−	0.463776i
$868$	0.209243	+	0.0761583i	0.00710217	+	0.00258498i
$869$	−8.00280	+	45.3861i	−0.271476	+	1.53962i
$870$	9.99757	−	13.1750i	0.338949	−	0.446674i
$871$	4.16287	−	1.51516i	0.141053	−	0.0513392i
$872$	1.17950	+	0.989714i	0.0399428	+	0.0335159i
$873$	−15.2265	+	30.4395i	−0.515339	+	1.03022i
$874$	−22.6082	+	1.89798i	−0.764735	+	0.0642000i
$875$	−13.0168	−	19.8267i	−0.440047	−	0.670266i
$876$	0.0555226	−	0.381171i	0.00187593	−	0.0128786i
$877$	−19.8986	+	7.24251i	−0.671929	+	0.244562i	−0.655378	−	0.755301i	$-0.727491\pi$
$877$	−19.8986	+	7.24251i	−0.671929	+	0.244562i	−0.0165506	+	0.999863i	$0.505268\pi$
$878$	4.26259	+	24.1744i	0.143856	+	0.815845i
$879$	−49.5555	+	19.7330i	−1.67147	+	0.665577i
$880$	6.44304	−	41.1224i	0.217195	−	1.38623i
$881$	7.57581	−	4.37390i	0.255236	−	0.147360i	−0.366924	−	0.930251i	$-0.619589\pi$
$881$	7.57581	−	4.37390i	0.255236	−	0.147360i	0.622159	+	0.782891i	$0.286256\pi$
$882$	9.04412	−	5.96912i	0.304531	−	0.200991i
$883$	14.0469	+	16.7404i	0.472716	+	0.563361i	0.948734	−	0.316074i	$-0.102365\pi$
$883$	14.0469	+	16.7404i	0.472716	+	0.563361i	−0.476019	+	0.879435i	$0.657921\pi$
$884$	−0.0298239	+	0.0250252i	−0.00100309	+	0.000841688i
$885$	7.33713	+	32.2744i	0.246635	+	1.08489i
$886$	27.9773	−	16.1527i	0.939916	−	0.542661i
$887$	13.0860	−	35.9535i	0.439385	−	1.20720i	−0.500509	−	0.865731i	$-0.666854\pi$
$887$	13.0860	−	35.9535i	0.439385	−	1.20720i	0.939893	−	0.341468i	$-0.110924\pi$
$888$	−51.0081	+	20.3114i	−1.71172	+	0.681605i
$889$	−2.33868	+	0.412372i	−0.0784368	+	0.0138305i
$890$	−10.5592	−	17.5074i	−0.353945	−	0.586850i
$891$	40.1310	+	2.20882i	1.34444	+	0.0739984i
$892$	−0.243059			−0.00813822
$893$	−7.03562	+	25.8932i	−0.235438	+	0.866482i
$894$	1.01517	−	0.627286i	0.0339524	−	0.0209796i
$895$	52.0862	+	28.7587i	1.74105	+	0.961297i
$896$	23.9270	−	8.70873i	0.799347	−	0.290938i
$897$	3.04595	+	3.41721i	0.101701	+	0.114097i
$898$	56.4278	+	9.94974i	1.88302	+	0.332027i
$899$	−1.20481	+	3.31020i	−0.0401828	+	0.110401i
$900$	1.19104	−	0.571044i	0.0397013	−	0.0190348i
$901$	−5.05551	−	2.91880i	−0.168423	−	0.0972393i
$902$	48.1777	−	40.4259i	1.60414	−	1.34603i
$903$	11.9209	−	36.0717i	0.396703	−	1.20039i
$904$	11.3150	−	19.5982i	0.376332	−	0.651826i
$905$	−36.5314	+	31.8631i	−1.21434	+	1.05916i
$906$	−16.8720	+	3.49784i	−0.560536	+	0.116208i
$907$	−4.17244	+	23.6631i	−0.138544	+	0.785720i	0.833783	+	0.552093i	$0.186171\pi$
$907$	−4.17244	+	23.6631i	−0.138544	+	0.785720i	−0.972326	+	0.233627i	$0.924940\pi$
$908$	0.712124	−	0.125567i	0.0236327	−	0.00416708i
$909$	−16.7208	−	1.92733i	−0.554594	−	0.0639255i
$910$	4.40288	+	2.43099i	0.145954	+	0.0805865i
$911$	−33.0773			−1.09590			−0.547949	−	0.836512i	$-0.684591\pi$
$911$	−33.0773			−1.09590			−0.547949	+	0.836512i	$0.684591\pi$
$912$	8.94397	+	30.1727i	0.296164	+	0.999119i
$913$		−	35.7684i		−	1.18376i
$914$	−8.84360	−	7.42066i	−0.292520	−	0.245454i
$915$	18.0555	−	35.1437i	0.596895	−	1.16182i
$916$	−0.181489	−	1.02928i	−0.00599657	−	0.0340082i
$917$	1.21039	−	6.86446i	0.0399706	−	0.226685i
$918$	4.37298	+	1.16052i	0.144330	+	0.0383029i
$919$	−25.2015	−	43.6503i	−0.831321	−	1.43989i	−0.896991	−	0.442049i	$-0.854252\pi$
$919$	−25.2015	−	43.6503i	−0.831321	−	1.43989i	0.0656699	−	0.997841i	$-0.479082\pi$
$920$	−21.0520	−	7.20963i	−0.694063	−	0.237694i
$921$	14.7337	−	44.5829i	0.485491	−	1.46906i
$922$	5.22701	−	4.38598i	0.172143	−	0.144445i
$923$	−2.15439	+	3.73152i	−0.0709127	+	0.122824i
$924$	1.27235	+	0.684737i	0.0418574	+	0.0225262i
$925$	57.3251	−	2.19280i	1.88484	−	0.0720988i
$926$	5.45460	−	30.9346i	0.179249	−	1.01657i
$927$	39.3773	+	11.7203i	1.29332	+	0.384946i
$928$	−0.503115	−	1.38230i	−0.0165156	−	0.0453761i
$929$	−5.05111	+	6.01967i	−0.165721	+	0.197499i	−0.842514	−	0.538675i	$-0.818925\pi$
$929$	−5.05111	+	6.01967i	−0.165721	+	0.197499i	0.676792	+	0.736174i	$0.263370\pi$
$930$	−4.89418	+	4.53328i	−0.160486	+	0.148652i
$931$	−0.911521	−	10.8578i	−0.0298739	−	0.355851i
$932$	−0.416792			−0.0136525
$933$	4.44397	−	30.5085i	0.145489	−	0.998804i
$934$	12.4771	+	34.2804i	0.408262	+	1.12169i
$935$	−5.61380	+	2.16565i	−0.183591	+	0.0708245i
$936$	3.62381	−	4.88388i	0.118448	−	0.159635i
$937$	0.420042	−	1.15406i	0.0137222	−	0.0377014i	−0.932642	−	0.360802i	$-0.882503\pi$
$937$	0.420042	−	1.15406i	0.0137222	−	0.0377014i	0.946365	+	0.323101i	$0.104725\pi$
$938$	−9.25393	−	16.0283i	−0.302152	−	0.523342i
$939$	48.9173	−	1.46243i	1.59635	−	0.0477245i
$940$	0.761210	−	0.943219i	0.0248279	−	0.0307644i
$941$	5.07390	−	4.25751i	0.165405	−	0.138791i	−0.556328	−	0.830963i	$-0.687790\pi$
$941$	5.07390	−	4.25751i	0.165405	−	0.138791i	0.721733	+	0.692172i	$0.243346\pi$
$942$	−0.648587	−	21.6948i	−0.0211321	−	0.706856i
$943$	−17.5525	−	30.4019i	−0.571589	−	0.990022i
$944$	33.4739	+	12.1835i	1.08948	+	0.396539i
$945$	−2.67590	−	24.5026i	−0.0870471	−	0.797070i
$946$	−65.7069	+	11.5859i	−2.13631	+	0.376690i
$947$	25.7264	−	9.36364i	0.835996	−	0.304278i	0.111678	−	0.993744i	$-0.464377\pi$
$947$	25.7264	−	9.36364i	0.835996	−	0.304278i	0.724317	+	0.689467i	$0.242155\pi$
$948$	−0.226879	+	1.55756i	−0.00736867	+	0.0505871i
$949$			1.85309i			0.0601537i
$950$	1.65406	−	31.4498i	0.0536648	−	1.02037i
$951$	−17.6515	−	28.5663i	−0.572388	−	0.926327i
$952$	−2.70535	−	2.27006i	−0.0876810	−	0.0735731i
$953$	7.07750	+	19.4453i	0.229263	+	0.629894i	0.999973	−	0.00729097i	$-0.00232081\pi$
$953$	7.07750	+	19.4453i	0.229263	+	0.629894i	−0.770711	+	0.637185i	$0.780099\pi$
$954$	−40.2523	−	11.9808i	−1.30322	−	0.387891i
$955$	−33.1354	+	0.633517i	−1.07224	+	0.0205001i
$956$	0.0787661	−	0.216408i	0.00254748	−	0.00699914i
$957$	−10.8324	+	20.1285i	−0.350163	+	0.650661i
$958$	−21.9860	+	38.0808i	−0.710335	+	1.23034i
$959$	−6.79991	−	8.10382i	−0.219581	−	0.261686i
$960$	−3.69367	+	29.2701i	−0.119213	+	0.944688i
$961$	−14.7896	+	25.6163i	−0.477082	+	0.826331i
$962$	−10.5350	+	6.08240i	−0.339663	+	0.196104i
$963$	−8.82709	−	9.32630i	−0.284449	−	0.300536i
$964$	0.394490	+	0.0695593i	0.0127057	+	0.00224035i
$965$	13.7402	+	35.6172i	0.442313	+	1.14656i
$966$	11.8499	−	15.0112i	0.381263	−	0.482977i
$967$	27.7032	−	33.0154i	0.890875	−	1.06170i	−0.106849	−	0.994275i	$-0.534076\pi$
$967$	27.7032	−	33.0154i	0.890875	−	1.06170i	0.997724	−	0.0674286i	$-0.0214795\pi$
$968$			24.7072i			0.794121i
$969$	3.13086	−	3.30053i	0.100578	−	0.106028i
$970$	−7.05448	−	35.9726i	−0.226506	−	1.15501i
$971$	−26.2472	−	22.0240i	−0.842313	−	0.706785i	0.115770	−	0.993276i	$-0.463067\pi$
$971$	−26.2472	−	22.0240i	−0.842313	−	0.706785i	−0.958083	+	0.286491i	$0.907511\pi$
$972$	1.37224	+	0.0344476i	0.0440147	+	0.00110491i
$973$	33.2077	−	5.85542i	1.06459	−	0.187716i
$974$	16.3806	+	2.88835i	0.524869	+	0.0925486i
$975$	−5.27402	+	3.54439i	−0.168904	+	0.113511i
$976$	−21.2619	−	36.8267i	−0.680578	−	1.17879i
$977$	−18.9012	−	10.9126i	−0.604704	−	0.349126i	0.166186	−	0.986094i	$-0.446855\pi$
$977$	−18.9012	−	10.9126i	−0.604704	−	0.349126i	−0.770890	+	0.636969i	$0.780188\pi$
$978$	−14.6529	+	44.3384i	−0.468547	+	1.41778i
$979$	18.1634	+	21.6463i	0.580504	+	0.691818i
$980$	−0.159470	+	0.465649i	−0.00509408	+	0.0148746i
$981$	−0.0998783	−	1.66894i	−0.00318887	−	0.0532852i
$982$	26.3371	+	9.58592i	0.840451	+	0.305899i
$983$	29.5331	+	5.20748i	0.941960	+	0.166093i	0.623482	−	0.781838i	$-0.285717\pi$
$983$	29.5331	+	5.20748i	0.941960	+	0.166093i	0.318477	+	0.947930i	$0.396828\pi$
$984$	−34.8145	+	31.0321i	−1.10984	+	0.989266i
$985$	−11.4488	+	6.90508i	−0.364789	+	0.220014i
$986$	−1.65398	+	1.97113i	−0.0526734	+	0.0627737i
$987$	−11.8894	−	19.2412i	−0.378443	−	0.612454i
$988$	0.118126	+	0.255662i	0.00375809	+	0.00813370i
$989$			37.2424i			1.18424i
$990$	−35.6665	+	24.5313i	−1.13356	+	0.779657i
$991$	0.438900	+	1.20587i	0.0139421	+	0.0383057i	0.946468	−	0.322796i	$-0.104623\pi$
$991$	0.438900	+	1.20587i	0.0139421	+	0.0383057i	−0.932526	+	0.361102i	$0.882401\pi$
$992$	0.103034	+	0.584333i	0.00327132	+	0.0185526i
$993$	7.53026	−	2.99854i	0.238966	−	0.0951559i
$994$	16.9157	+	6.15681i	0.536534	+	0.195282i
$995$	−5.76784	−	6.61289i	−0.182853	−	0.209643i
$996$	−0.0365047	−	1.22106i	−0.00115669	−	0.0386907i
$997$	−0.690218	−	0.822569i	−0.0218594	−	0.0260510i	0.755004	−	0.655720i	$-0.227635\pi$
$997$	−0.690218	−	0.822569i	−0.0218594	−	0.0260510i	−0.776863	+	0.629669i	$0.783190\pi$
$998$	−25.6292	−	30.5437i	−0.811279	−	0.966844i
$999$	54.0920	+	25.0660i	1.71140	+	0.793053i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	285.2.bf.c.269.24	yes	192
3.2	odd	2	inner	285.2.bf.c.269.10	yes	192
5.4	even	2	inner	285.2.bf.c.269.9	yes	192
15.14	odd	2	inner	285.2.bf.c.269.23	yes	192
19.13	odd	18	inner	285.2.bf.c.89.23	yes	192
57.32	even	18	inner	285.2.bf.c.89.9	✓	192
95.89	odd	18	inner	285.2.bf.c.89.10	yes	192
285.89	even	18	inner	285.2.bf.c.89.24	yes	192

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
285.2.bf.c.89.9	✓	192	57.32	even	18	inner
285.2.bf.c.89.10	yes	192	95.89	odd	18	inner
285.2.bf.c.89.23	yes	192	19.13	odd	18	inner
285.2.bf.c.89.24	yes	192	285.89	even	18	inner
285.2.bf.c.269.9	yes	192	5.4	even	2	inner
285.2.bf.c.269.10	yes	192	3.2	odd	2	inner
285.2.bf.c.269.23	yes	192	15.14	odd	2	inner
285.2.bf.c.269.24	yes	192	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 285 = 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	285.bf (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.928835 - 1.10694i) q^{2} +(1.07319 - 1.35950i) q^{3} +(-0.0152910 - 0.0867194i) q^{4} +(0.0427436 + 2.23566i) q^{5} +(-0.508073 - 2.45072i) q^{6} +(1.83718 - 1.06069i) q^{7} +(2.39264 + 1.38139i) q^{8} +(-0.696507 - 2.91803i) q^{9} +O(q^{10})\)	\(q+(0.928835 - 1.10694i) q^{2} +(1.07319 - 1.35950i) q^{3} +(-0.0152910 - 0.0867194i) q^{4} +(0.0427436 + 2.23566i) q^{5} +(-0.508073 - 2.45072i) q^{6} +(1.83718 - 1.06069i) q^{7} +(2.39264 + 1.38139i) q^{8} +(-0.696507 - 2.91803i) q^{9} +(2.51445 + 2.02924i) q^{10} +(-3.86745 - 2.23287i) q^{11} +(-0.134306 - 0.0722786i) q^{12} +(0.689489 + 0.250954i) q^{13} +(0.532306 - 3.01886i) q^{14} +(3.08526 + 2.34119i) q^{15} +(3.91698 - 1.42566i) q^{16} +(-0.461591 - 0.387321i) q^{17} +(-3.87703 - 1.93937i) q^{18} +(-3.57936 + 2.48761i) q^{19} +(0.193221 - 0.0378921i) q^{20} +(0.529628 - 3.63598i) q^{21} +(-6.06389 + 2.20707i) q^{22} +(0.625480 + 3.54728i) q^{23} +(4.44577 - 1.77030i) q^{24} +(-4.99635 + 0.191120i) q^{25} +(0.918213 - 0.530131i) q^{26} +(-4.71456 - 2.18471i) q^{27} +(-0.120075 - 0.143100i) q^{28} +(2.26382 - 1.89957i) q^{29} +(5.45726 - 1.24063i) q^{30} +(-1.03231 + 0.596006i) q^{31} +(0.170247 - 0.467750i) q^{32} +(-7.18613 + 2.86151i) q^{33} +(-0.857485 + 0.151198i) q^{34} +(2.44988 + 4.06196i) q^{35} +(-0.242399 + 0.105020i) q^{36} -11.4734 q^{37} +(-0.570998 + 6.27272i) q^{38} +(1.08113 - 0.668042i) q^{39} +(-2.98605 + 5.40817i) q^{40} +(-9.15825 + 3.33333i) q^{41} +(-3.53288 - 3.96349i) q^{42} +(10.1823 + 1.79541i) q^{43} +(-0.134496 + 0.369526i) q^{44} +(6.49394 - 1.68188i) q^{45} +(4.50760 + 2.60246i) q^{46} +(4.71553 - 3.95680i) q^{47} +(2.26548 - 6.85516i) q^{48} +(-1.24986 + 2.16482i) q^{49} +(-4.42922 + 5.70819i) q^{50} +(-1.02194 + 0.211865i) q^{51} +(0.0112196 - 0.0636294i) q^{52} +(9.54074 - 1.68229i) q^{53} +(-6.79739 + 3.18951i) q^{54} +(4.82664 - 8.74174i) q^{55} +5.86092 q^{56} +(-0.459437 + 7.53584i) q^{57} -4.27030i q^{58} +(6.54650 + 5.49316i) q^{59} +(0.155850 - 0.303351i) q^{60} +(-1.77149 - 10.0466i) q^{61} +(-0.299104 + 1.69630i) q^{62} +(-4.37474 - 4.62215i) q^{63} +(3.80872 + 6.59689i) q^{64} +(-0.531575 + 1.55219i) q^{65} +(-3.50720 + 10.6125i) q^{66} +(4.62508 - 3.88090i) q^{67} +(-0.0265301 + 0.0459514i) q^{68} +(5.49380 + 2.95657i) q^{69} +(6.77189 + 1.06102i) q^{70} +(-1.01973 + 5.78315i) q^{71} +(2.36444 - 7.94392i) q^{72} +(0.863785 + 2.37323i) q^{73} +(-10.6569 + 12.7004i) q^{74} +(-5.10222 + 6.99767i) q^{75} +(0.270455 + 0.272362i) q^{76} -9.47358 q^{77} +(0.264706 - 1.81725i) q^{78} +(-3.52963 - 9.69758i) q^{79} +(3.35472 + 8.69609i) q^{80} +(-8.02976 + 4.06485i) q^{81} +(-4.81670 + 13.2338i) q^{82} +(4.00475 + 6.93643i) q^{83} +(-0.323408 + 0.00966859i) q^{84} +(0.846188 - 1.04852i) q^{85} +(11.4451 - 9.60357i) q^{86} +(-0.152956 - 5.11627i) q^{87} +(-6.16894 - 10.6849i) q^{88} +(-5.94595 - 2.16415i) q^{89} +(4.17006 - 8.75061i) q^{90} +(1.53290 - 0.270291i) q^{91} +(0.298053 - 0.108483i) q^{92} +(-0.297599 + 2.04307i) q^{93} -8.89504i q^{94} +(-5.71443 - 7.89590i) q^{95} +(-0.453201 - 0.733439i) q^{96} +(-8.69088 - 7.29252i) q^{97} +(1.23542 + 3.39428i) q^{98} +(-3.82188 + 12.8405i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9}+O(q^{10}) \) 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9	\( 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9} + 18 q^{10} + 15 q^{15} - 36 q^{16} - 48 q^{19} - 30 q^{21} - 156 q^{24} - 12 q^{25} - 24 q^{30} - 36 q^{31} + 24 q^{34} - 6 q^{36} - 6 q^{40} - 30 q^{45} + 36 q^{46} + 60 q^{49} + 24 q^{51} - 6 q^{54} - 90 q^{55} + 90 q^{60} + 12 q^{61} - 60 q^{64} + 108 q^{66} + 90 q^{69} - 18 q^{70} - 132 q^{76} - 120 q^{79} + 36 q^{81} + 198 q^{84} - 66 q^{85} - 114 q^{90} - 72 q^{91} + 144 q^{96} + 78 q^{99}+O(q^{100}) \) 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9 + 18 * q^10 + 15 * q^15 - 36 * q^16 - 48 * q^19 - 30 * q^21 - 156 * q^24 - 12 * q^25 - 24 * q^30 - 36 * q^31 + 24 * q^34 - 6 * q^36 - 6 * q^40 - 30 * q^45 + 36 * q^46 + 60 * q^49 + 24 * q^51 - 6 * q^54 - 90 * q^55 + 90 * q^60 + 12 * q^61 - 60 * q^64 + 108 * q^66 + 90 * q^69 - 18 * q^70 - 132 * q^76 - 120 * q^79 + 36 * q^81 + 198 * q^84 - 66 * q^85 - 114 * q^90 - 72 * q^91 + 144 * q^96 + 78 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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