LMFDB - Embedded newform 600.2.bk.a.59.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [600,2,Mod(59,600)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(600, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 5, 7]))

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

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

chi := DirichletCharacter("600.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 600 = 2^{3} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	600.bk (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.79102412128$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			59.9
Character	$\chi$	$=$	600.59
Dual form			600.2.bk.a.539.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38045 + 0.307170i) q^{2} +(-0.792051 + 1.54034i) q^{3} +(1.81129 - 0.848068i) q^{4} +(-2.19234 + 0.440049i) q^{5} +(0.620240 - 2.36966i) q^{6} +3.60889 q^{7} +(-2.23990 + 1.72709i) q^{8} +(-1.74531 - 2.44006i) q^{9} +O(q^{10})$	\(q+(-1.38045 + 0.307170i) q^{2} +(-0.792051 + 1.54034i) q^{3} +(1.81129 - 0.848068i) q^{4} +(-2.19234 + 0.440049i) q^{5} +(0.620240 - 2.36966i) q^{6} +3.60889 q^{7} +(-2.23990 + 1.72709i) q^{8} +(-1.74531 - 2.44006i) q^{9} +(2.89125 - 1.28089i) q^{10} +(0.139062 - 0.191403i) q^{11} +(-0.128321 + 3.46172i) q^{12} +(-5.04985 + 3.66893i) q^{13} +(-4.98190 + 1.10854i) q^{14} +(1.05862 - 3.72550i) q^{15} +(2.56156 - 3.07220i) q^{16} +(0.286177 - 0.880762i) q^{17} +(3.15883 + 2.83228i) q^{18} +(-0.776571 + 2.39004i) q^{19} +(-3.59778 + 2.65631i) q^{20} +(-2.85843 + 5.55893i) q^{21} +(-0.133176 + 0.306938i) q^{22} +(-3.54114 + 4.87396i) q^{23} +(-0.886198 - 4.81816i) q^{24} +(4.61271 - 1.92948i) q^{25} +(5.84409 - 6.61595i) q^{26} +(5.14090 - 0.755723i) q^{27} +(6.53676 - 3.06058i) q^{28} +(-1.09429 - 3.36788i) q^{29} +(-0.317010 + 5.46804i) q^{30} +(-10.1651 - 3.30286i) q^{31} +(-2.59242 + 5.02786i) q^{32} +(0.184682 + 0.365805i) q^{33} +(-0.124509 + 1.30375i) q^{34} +(-7.91192 + 1.58809i) q^{35} +(-5.23060 - 2.93952i) q^{36} +(-3.80328 + 2.76324i) q^{37} +(0.337869 - 3.53787i) q^{38} +(-1.65167 - 10.6845i) q^{39} +(4.15062 - 4.77204i) q^{40} +(0.229002 + 0.315195i) q^{41} +(2.23838 - 8.55185i) q^{42} -12.7892i q^{43} +(0.0895600 - 0.464621i) q^{44} +(4.90006 + 4.58142i) q^{45} +(3.39123 - 7.81600i) q^{46} +(-0.427317 + 0.138844i) q^{47} +(2.70335 + 6.37902i) q^{48} +6.02409 q^{49} +(-5.77495 + 4.08044i) q^{50} +(1.13001 + 1.13842i) q^{51} +(-6.03526 + 10.9281i) q^{52} +(7.26389 - 2.36018i) q^{53} +(-6.86463 + 2.62237i) q^{54} +(-0.220645 + 0.480815i) q^{55} +(-8.08355 + 6.23289i) q^{56} +(-3.06640 - 3.08922i) q^{57} +(2.54513 + 4.31306i) q^{58} +(-5.23328 - 7.20299i) q^{59} +(-1.24201 - 7.64575i) q^{60} +(-2.50639 + 3.44974i) q^{61} +(15.0470 + 1.43700i) q^{62} +(-6.29863 - 8.80591i) q^{63} +(2.03430 - 7.73703i) q^{64} +(9.45648 - 10.2657i) q^{65} +(-0.367308 - 0.448247i) q^{66} +(-9.27738 - 3.01440i) q^{67} +(-0.228596 - 1.83801i) q^{68} +(-4.70280 - 9.31499i) q^{69} +(10.4342 - 4.62259i) q^{70} +(-2.41394 - 7.42934i) q^{71} +(8.12353 + 2.45118i) q^{72} +(-3.97691 + 5.47374i) q^{73} +(4.40145 - 4.98278i) q^{74} +(-0.681452 + 8.63340i) q^{75} +(0.620319 + 4.98765i) q^{76} +(0.501861 - 0.690752i) q^{77} +(5.56201 + 14.2421i) q^{78} +(-7.22752 + 2.34836i) q^{79} +(-4.26390 + 7.86252i) q^{80} +(-2.90778 + 8.51732i) q^{81} +(-0.412945 - 0.364768i) q^{82} +(-1.37466 + 4.23078i) q^{83} +(-0.463097 + 12.4930i) q^{84} +(-0.239818 + 2.05686i) q^{85} +(3.92847 + 17.6549i) q^{86} +(6.05442 + 0.981950i) q^{87} +(0.0190847 + 0.668897i) q^{88} +(2.32193 - 3.19587i) q^{89} +(-8.17157 - 4.81927i) q^{90} +(-18.2244 + 13.2408i) q^{91} +(-2.28059 + 11.8313i) q^{92} +(13.1388 - 13.0418i) q^{93} +(0.547241 - 0.322926i) q^{94} +(0.650773 - 5.58151i) q^{95} +(-5.69129 - 7.97554i) q^{96} +(5.73478 - 1.86334i) q^{97} +(-8.31596 + 1.85042i) q^{98} +(-0.709742 - 0.00526304i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/600\mathbb{Z}\right)^\times$.

$n$	$151$	$301$	$401$	$577$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−1.38045	+	0.307170i	−0.976127	+	0.217202i
$2$	−1.38045	+	0.307170i	−0.976127	+	0.217202i
$3$	−0.792051	+	1.54034i	−0.457291	+	0.889317i
$3$	−0.792051	+	1.54034i	−0.457291	+	0.889317i
$4$	1.81129	−	0.848068i	0.905646	−	0.424034i
$5$	−2.19234	+	0.440049i	−0.980444	+	0.196796i
$5$	−2.19234	+	0.440049i	−0.980444	+	0.196796i
$6$	0.620240	−	2.36966i	0.253212	−	0.967411i
$7$	3.60889			1.36403			0.682016	−	0.731337i	$-0.261103\pi$
$7$	3.60889			1.36403			0.682016	+	0.731337i	$0.261103\pi$
$8$	−2.23990	+	1.72709i	−0.791924	+	0.610619i
$9$	−1.74531	−	2.44006i	−0.581770	−	0.813353i
$10$	2.89125	−	1.28089i	0.914293	−	0.405053i
$11$	0.139062	−	0.191403i	0.0419289	−	0.0577102i	−0.787538	−	0.616266i	$-0.788644\pi$
$11$	0.139062	−	0.191403i	0.0419289	−	0.0577102i	0.829467	+	0.558556i	$0.188644\pi$
$12$	−0.128321	+	3.46172i	−0.0370431	+	0.999314i
$13$	−5.04985	+	3.66893i	−1.40058	+	1.01758i	−0.405967	+	0.913888i	$0.633065\pi$
$13$	−5.04985	+	3.66893i	−1.40058	+	1.01758i	−0.994610	+	0.103691i	$0.966935\pi$
$14$	−4.98190	+	1.10854i	−1.33147	+	0.296271i
$15$	1.05862	−	3.72550i	0.273334	−	0.961919i
$16$	2.56156	−	3.07220i	0.640390	−	0.768050i
$17$	0.286177	−	0.880762i	0.0694081	−	0.213616i	−0.910336	−	0.413870i	$-0.864177\pi$
$17$	0.286177	−	0.880762i	0.0694081	−	0.213616i	0.979744	+	0.200254i	$0.0641768\pi$
$18$	3.15883	+	2.83228i	0.744543	+	0.667574i
$19$	−0.776571	+	2.39004i	−0.178158	+	0.548313i	−0.999764	−	0.0217429i	$-0.993078\pi$
$19$	−0.776571	+	2.39004i	−0.178158	+	0.548313i	0.821606	+	0.570056i	$0.193078\pi$
$20$	−3.59778	+	2.65631i	−0.804488	+	0.593969i
$21$	−2.85843	+	5.55893i	−0.623760	+	1.21306i
$22$	−0.133176	+	0.306938i	−0.0283931	+	0.0654395i
$23$	−3.54114	+	4.87396i	−0.738379	+	1.01629i	0.260332	+	0.965519i	$0.416168\pi$
$23$	−3.54114	+	4.87396i	−0.738379	+	1.01629i	−0.998710	+	0.0507717i	$0.983832\pi$
$24$	−0.886198	−	4.81816i	−0.180894	−	0.983503i
$25$	4.61271	−	1.92948i	0.922543	−	0.385895i
$26$	5.84409	−	6.61595i	1.14612	−	1.29749i
$27$	5.14090	−	0.755723i	0.989367	−	0.145439i
$28$	6.53676	−	3.06058i	1.23533	−	0.578396i
$29$	−1.09429	−	3.36788i	−0.203204	−	0.625399i	−0.999782	−	0.0208631i	$-0.993359\pi$
$29$	−1.09429	−	3.36788i	−0.203204	−	0.625399i	0.796578	−	0.604536i	$-0.206641\pi$
$30$	−0.317010	+	5.46804i	−0.0578778	+	0.998324i
$31$	−10.1651	−	3.30286i	−1.82571	−	0.593210i	−0.999557	−	0.0297704i	$-0.990522\pi$
$31$	−10.1651	−	3.30286i	−1.82571	−	0.593210i	−0.826157	−	0.563440i	$-0.809478\pi$
$32$	−2.59242	+	5.02786i	−0.458280	+	0.888808i
$33$	0.184682	+	0.365805i	0.0321489	+	0.0636784i
$34$	−0.124509	+	1.30375i	−0.0213532	+	0.223592i
$35$	−7.91192	+	1.58809i	−1.33736	+	0.268436i
$36$	−5.23060	−	2.93952i	−0.871767	−	0.489920i
$37$	−3.80328	+	2.76324i	−0.625255	+	0.454274i	−0.854753	−	0.519035i	$-0.826291\pi$
$37$	−3.80328	+	2.76324i	−0.625255	+	0.454274i	0.229498	+	0.973309i	$0.426291\pi$
$38$	0.337869	−	3.53787i	0.0548096	−	0.573919i
$39$	−1.65167	−	10.6845i	−0.264479	−	1.71089i
$40$	4.15062	−	4.77204i	0.656270	−	0.754526i
$41$	0.229002	+	0.315195i	0.0357642	+	0.0492251i	0.826525	−	0.562901i	$-0.190315\pi$
$41$	0.229002	+	0.315195i	0.0357642	+	0.0492251i	−0.790760	+	0.612126i	$0.790315\pi$
$42$	2.23838	−	8.55185i	0.345389	−	1.31958i
$43$		−	12.7892i		−	1.95034i	−0.221465	−	0.975168i	$-0.571084\pi$
$43$		−	12.7892i		−	1.95034i	0.221465	−	0.975168i	$-0.428916\pi$
$44$	0.0895600	−	0.464621i	0.0135017	−	0.0700443i
$45$	4.90006	+	4.58142i	0.730458	+	0.682958i
$46$	3.39123	−	7.81600i	0.500010	−	1.15241i
$47$	−0.427317	+	0.138844i	−0.0623305	+	0.0202524i	−0.340016	−	0.940420i	$-0.610433\pi$
$47$	−0.427317	+	0.138844i	−0.0623305	+	0.0202524i	0.277686	+	0.960672i	$0.410433\pi$
$48$	2.70335	+	6.37902i	0.390195	+	0.920732i
$49$	6.02409			0.860584
$50$	−5.77495	+	4.08044i	−0.816701	+	0.577061i
$51$	1.13001	+	1.13842i	0.158233	+	0.159410i
$52$	−6.03526	+	10.9281i	−0.836939	+	1.51546i
$53$	7.26389	−	2.36018i	0.997772	−	0.324196i	0.235797	−	0.971802i	$-0.424230\pi$
$53$	7.26389	−	2.36018i	0.997772	−	0.324196i	0.761975	+	0.647606i	$0.224230\pi$
$54$	−6.86463	+	2.62237i	−0.934158	+	0.356860i
$55$	−0.220645	+	0.480815i	−0.0297518	+	0.0648331i
$56$	−8.08355	+	6.23289i	−1.08021	+	0.832904i
$57$	−3.06640	−	3.08922i	−0.406154	−	0.409177i
$58$	2.54513	+	4.31306i	0.334191	+	0.566332i
$59$	−5.23328	−	7.20299i	−0.681315	−	0.937749i	0.318634	−	0.947878i	$-0.396776\pi$
$59$	−5.23328	−	7.20299i	−0.681315	−	0.937749i	−0.999949	+	0.0101285i	$0.996776\pi$
$60$	−1.24201	−	7.64575i	−0.160342	−	0.987061i
$61$	−2.50639	+	3.44974i	−0.320910	+	0.441694i	−0.938745	−	0.344613i	$-0.888010\pi$
$61$	−2.50639	+	3.44974i	−0.320910	+	0.441694i	0.617835	+	0.786308i	$0.288010\pi$
$62$	15.0470	+	1.43700i	1.91097	+	0.182499i
$63$	−6.29863	−	8.80591i	−0.793553	−	1.10944i
$64$	2.03430	−	7.73703i	0.254288	−	0.967129i
$65$	9.45648	−	10.2657i	1.17293	−	1.27331i
$66$	−0.367308	−	0.448247i	−0.0452125	−	0.0551754i
$67$	−9.27738	−	3.01440i	−1.13341	−	0.368268i	−0.318540	−	0.947909i	$-0.603193\pi$
$67$	−9.27738	−	3.01440i	−1.13341	−	0.368268i	−0.814872	+	0.579641i	$0.803193\pi$
$68$	−0.228596	−	1.83801i	−0.0277213	−	0.222892i
$69$	−4.70280	−	9.31499i	−0.566151	−	1.12139i
$70$	10.4342	−	4.62259i	1.24713	−	0.552505i
$71$	−2.41394	−	7.42934i	−0.286482	−	0.881700i	−0.985951	−	0.167037i	$-0.946580\pi$
$71$	−2.41394	−	7.42934i	−0.286482	−	0.881700i	0.699469	−	0.714663i	$-0.253420\pi$
$72$	8.12353	+	2.45118i	0.957367	+	0.288874i
$73$	−3.97691	+	5.47374i	−0.465462	+	0.640653i	−0.975630	−	0.219421i	$-0.929583\pi$
$73$	−3.97691	+	5.47374i	−0.465462	+	0.640653i	0.510169	+	0.860074i	$0.329583\pi$
$74$	4.40145	−	4.98278i	0.511658	−	0.579236i
$75$	−0.681452	+	8.63340i	−0.0786872	+	0.996899i
$76$	0.620319	+	4.98765i	0.0711555	+	0.572122i
$77$	0.501861	−	0.690752i	0.0571924	−	0.0787185i
$78$	5.56201	+	14.2421i	0.629774	+	1.61260i
$79$	−7.22752	+	2.34836i	−0.813160	+	0.264212i	−0.685936	−	0.727662i	$-0.740607\pi$
$79$	−7.22752	+	2.34836i	−0.813160	+	0.264212i	−0.127224	+	0.991874i	$0.540607\pi$
$80$	−4.26390	+	7.86252i	−0.476718	+	0.879056i
$81$	−2.90778	+	8.51732i	−0.323087	+	0.946369i
$82$	−0.412945	−	0.364768i	−0.0456022	−	0.0402819i
$83$	−1.37466	+	4.23078i	−0.150889	+	0.464389i	−0.997721	−	0.0674716i	$-0.978507\pi$
$83$	−1.37466	+	4.23078i	−0.150889	+	0.464389i	0.846832	+	0.531860i	$0.178507\pi$
$84$	−0.463097	+	12.4930i	−0.0505280	+	1.36310i
$85$	−0.239818	+	2.05686i	−0.0260120	+	0.223098i
$86$	3.92847	+	17.6549i	0.423618	+	1.90378i
$87$	6.05442	+	0.981950i	0.649102	+	0.105276i
$88$	0.0190847	+	0.668897i	0.00203444	+	0.0713047i
$89$	2.32193	−	3.19587i	0.246125	−	0.338761i	−0.668025	−	0.744139i	$-0.732860\pi$
$89$	2.32193	−	3.19587i	0.246125	−	0.338761i	0.914149	+	0.405378i	$0.132860\pi$
$90$	−8.17157	−	4.81927i	−0.861359	−	0.507996i
$91$	−18.2244	+	13.2408i	−1.91043	+	1.38801i
$92$	−2.28059	+	11.8313i	−0.237768	+	1.23350i
$93$	13.1388	−	13.0418i	1.36243	−	1.35237i
$94$	0.547241	−	0.322926i	0.0564436	−	0.0333073i
$95$	0.650773	−	5.58151i	0.0667679	−	0.572651i
$96$	−5.69129	−	7.97554i	−0.580865	−	0.814000i
$97$	5.73478	−	1.86334i	0.582279	−	0.189194i	−0.00304228	−	0.999995i	$-0.500968\pi$
$97$	5.73478	−	1.86334i	0.582279	−	0.189194i	0.585321	+	0.810801i	$0.300968\pi$
$98$	−8.31596	+	1.85042i	−0.840039	+	0.186921i
$99$	−0.709742	−	0.00526304i	−0.0713317	−	0.000528955i
$100$	6.71865	−	7.40674i	0.671865	−	0.740674i
$101$	−4.58608			−0.456332			−0.228166	−	0.973622i	$-0.573273\pi$
$101$	−4.58608			−0.456332			−0.228166	+	0.973622i	$0.573273\pi$
$102$	−1.90961	−	1.22443i	−0.189080	−	0.121236i
$103$	3.00489	+	9.24810i	0.296081	+	0.911243i	0.982856	+	0.184373i	$0.0590255\pi$
$103$	3.00489	+	9.24810i	0.296081	+	0.911243i	−0.686776	+	0.726870i	$0.740974\pi$
$104$	4.97458	−	16.9396i	0.487798	−	1.66106i
$105$	3.82044	−	13.4449i	0.372837	−	1.31209i
$106$	−9.30247	+	5.48937i	−0.903536	+	0.533175i
$107$	1.21630			0.117584			0.0587921	−	0.998270i	$-0.481275\pi$
$107$	1.21630			0.117584			0.0587921	+	0.998270i	$0.481275\pi$
$108$	8.67077	−	5.72867i	0.834346	−	0.551242i
$109$	−0.932474	−	1.28344i	−0.0893148	−	0.122931i	0.762021	−	0.647552i	$-0.224207\pi$
$109$	−0.932474	−	1.28344i	−0.0893148	−	0.122931i	−0.851336	+	0.524621i	$0.824207\pi$
$110$	0.156898	−	0.731517i	0.0149597	−	0.0697474i
$111$	−1.24395	−	8.04698i	−0.118071	−	0.763785i
$112$	9.24439	−	11.0872i	0.873513	−	1.04764i
$113$	−12.5621	+	9.12689i	−1.18174	+	0.858586i	−0.992367	−	0.123319i	$-0.960646\pi$
$113$	−12.5621	+	9.12689i	−1.18174	+	0.858586i	−0.189375	+	0.981905i	$0.560646\pi$
$114$	5.18193	+	3.32261i	0.485332	+	0.311191i
$115$	5.61860	−	12.2437i	0.523937	−	1.14173i
$116$	−4.83827	−	5.17218i	−0.449222	−	0.480225i
$117$	17.7660	+	5.91852i	1.64246	+	0.547167i
$118$	9.43683	+	8.33587i	0.868731	+	0.767379i
$119$	1.03278	−	3.17857i	0.0946748	−	0.291379i
$120$	4.06308	+	10.1731i	0.370906	+	0.928670i
$121$	3.38189	+	10.4084i	0.307445	+	0.946217i
$122$	2.40028	−	5.53209i	0.217312	−	0.500852i
$123$	−0.666889	+	0.103092i	−0.0601314	+	0.00929547i
$124$	−21.2131	+	2.63829i	−1.90499	+	0.236926i
$125$	−9.26357	+	6.25989i	−0.828559	+	0.559901i
$126$	11.3999	+	10.2214i	1.01558	+	0.910592i
$127$	−4.30069	−	3.12463i	−0.381625	−	0.277266i	0.380390	−	0.924826i	$-0.375790\pi$
$127$	−4.30069	−	3.12463i	−0.381625	−	0.277266i	−0.762015	+	0.647560i	$0.775790\pi$
$128$	−0.431672	+	11.3055i	−0.0381548	+	0.999272i
$129$	19.6998	+	10.1297i	1.73447	+	0.891871i
$130$	−9.90089	+	17.0761i	−0.868365	+	1.49767i
$131$	9.61163	+	3.12301i	0.839772	+	0.272858i	0.697156	−	0.716920i	$-0.254449\pi$
$131$	9.61163	+	3.12301i	0.839772	+	0.272858i	0.142616	+	0.989778i	$0.454449\pi$
$132$	0.644740	+	0.505957i	0.0561174	+	0.0440379i
$133$	−2.80256	+	8.62539i	−0.243013	+	0.747917i
$134$	13.7329	+	1.31150i	1.18634	+	0.113296i
$135$	−10.9381	+	3.91905i	−0.941398	+	0.337298i
$136$	0.880149	+	2.46707i	0.0754722	+	0.211550i
$137$	−7.96902	+	5.78983i	−0.680840	+	0.494659i	−0.873636	−	0.486580i	$-0.838244\pi$
$137$	−7.96902	+	5.78983i	−0.680840	+	0.494659i	0.192797	+	0.981239i	$0.438244\pi$
$138$	9.35329	+	11.4143i	0.796204	+	0.971653i
$139$	14.4661	+	10.5103i	1.22700	+	0.891469i	0.996662	−	0.0816417i	$-0.0260163\pi$
$139$	14.4661	+	10.5103i	1.22700	+	0.891469i	0.230340	+	0.973110i	$0.426016\pi$
$140$	−12.9840	+	9.58634i	−1.09735	+	0.810193i
$141$	0.124590	−	0.768185i	0.0104924	−	0.0646929i
$142$	5.61440	+	9.51435i	0.471150	+	0.798427i
$143$			1.47677i			0.123493i
$144$	−11.9671	−	0.888425i	−0.997256	−	0.0740354i
$145$	3.88109	+	6.90199i	0.322307	+	0.573179i
$146$	3.80855	−	8.77782i	0.315198	−	0.726458i
$147$	−4.77139	+	9.27916i	−0.393537	+	0.765332i
$148$	−4.54543	+	8.23048i	−0.373632	+	0.676541i
$149$	21.1758			1.73479			0.867396	−	0.497618i	$-0.165792\pi$
$149$	21.1758			1.73479			0.867396	+	0.497618i	$0.165792\pi$
$150$	−1.71122	−	12.1273i	−0.139720	−	0.990191i
$151$			7.53522i			0.613208i	0.951837	+	0.306604i	$0.0991927\pi$
$151$			7.53522i			0.613208i	−0.951837	+	0.306604i	$0.900807\pi$
$152$	−2.38838	−	6.69466i	−0.193723	−	0.543009i
$153$	−2.64858	+	0.838914i	−0.214125	+	0.0678221i
$154$	−0.480616	+	1.10771i	−0.0387291	+	0.0892616i
$155$	23.7389	+	2.76782i	1.90675	+	0.222317i
$156$	−12.0528	−	17.9520i	−0.964998	−	1.43731i
$157$	−8.28452			−0.661176			−0.330588	−	0.943775i	$-0.607247\pi$
$157$	−8.28452			−0.661176			−0.330588	+	0.943775i	$0.607247\pi$
$158$	9.25590	−	5.46189i	0.736360	−	0.434524i
$159$	−2.11789	+	13.0583i	−0.167959	+	1.03559i
$160$	3.47097	−	12.1636i	0.274404	−	0.961614i
$161$	−12.7796	+	17.5896i	−1.00717	+	1.38625i
$162$	1.39779	−	12.6509i	0.109820	−	0.993951i
$163$	3.25301	+	4.47738i	0.254795	+	0.350695i	0.917183	−	0.398465i	$-0.130457\pi$
$163$	3.25301	+	4.47738i	0.254795	+	0.350695i	−0.662388	+	0.749161i	$0.730457\pi$
$164$	0.682097	+	0.376700i	0.0532628	+	0.0294153i
$165$	−0.565857	−	0.720699i	−0.0440519	−	0.0561064i
$166$	0.598086	−	6.26264i	0.0464205	−	0.486075i
$167$	−2.69083	−	0.874304i	−0.208223	−	0.0676557i	0.203049	−	0.979169i	$-0.434915\pi$
$167$	−2.69083	−	0.874304i	−0.208223	−	0.0676557i	−0.411271	+	0.911513i	$0.634915\pi$
$168$	−3.19819	−	17.3882i	−0.246746	−	1.34153i
$169$	8.02272	−	24.6914i	0.617132	−	1.89934i
$170$	−0.300749	−	2.91306i	−0.0230664	−	0.223422i
$171$	7.18720	−	2.27648i	0.549619	−	0.174087i
$172$	−10.8461	−	23.1650i	−0.827009	−	1.76632i
$173$	−11.3166	+	15.5759i	−0.860382	+	1.18421i	0.121096	+	0.992641i	$0.461359\pi$
$173$	−11.3166	+	15.5759i	−0.860382	+	1.18421i	−0.981478	+	0.191574i	$0.938641\pi$
$174$	−8.65945	+	0.504204i	−0.656472	+	0.0382236i
$175$	16.6468	−	6.96327i	1.25838	−	0.526373i
$176$	−0.231811	−	0.917518i	−0.0174734	−	0.0691605i
$177$	15.2401	−	2.35591i	1.14552	−	0.177081i
$178$	−2.22364	+	5.12497i	−0.166669	+	0.384133i
$179$	−19.6252	+	6.37663i	−1.46686	+	0.476611i	−0.930158	−	0.367161i	$-0.880330\pi$
$179$	−19.6252	+	6.37663i	−1.46686	+	0.476611i	−0.536702	+	0.843772i	$0.680330\pi$
$180$	12.7608	+	4.14271i	0.951134	+	0.308779i
$181$	10.4449	+	3.39376i	0.776364	+	0.252256i	0.670287	−	0.742102i	$-0.266171\pi$
$181$	10.4449	+	3.39376i	0.776364	+	0.252256i	0.106077	+	0.994358i	$0.466171\pi$
$182$	21.0907	−	23.8762i	1.56334	−	1.76982i
$183$	−3.32860	−	6.59307i	−0.246057	−	0.487373i
$184$	−0.485981	−	17.0331i	−0.0358270	−	1.25569i
$185$	7.12212	−	7.73160i	0.523628	−	0.568438i
$186$	−14.1315	+	22.0394i	−1.03617	+	1.61601i
$187$	−0.128784	−	0.177256i	−0.00941762	−	0.0129622i
$188$	−0.656247	+	0.613880i	−0.0478617	+	0.0447718i
$189$	18.5530	−	2.72732i	1.34953	−	0.198384i
$190$	0.816115	+	7.90491i	0.0592072	+	0.573482i
$191$	13.0331	−	9.46909i	0.943041	−	0.685159i	−0.00610979	−	0.999981i	$-0.501945\pi$
$191$	13.0331	−	9.46909i	0.943041	−	0.685159i	0.949151	+	0.314822i	$0.101945\pi$
$192$	10.3064	+	9.26165i	0.743800	+	0.668402i
$193$		−	4.34128i		−	0.312492i	−0.987718	−	0.156246i	$-0.950061\pi$
$193$		−	4.34128i		−	0.312492i	0.987718	−	0.156246i	$-0.0499392\pi$
$194$	−7.34423	+	4.33381i	−0.527285	+	0.311150i
$195$	8.32272	+	22.6972i	0.596003	+	1.62538i
$196$	10.9114	−	5.10884i	0.779385	−	0.364917i
$197$	−10.3144	+	3.35136i	−0.734873	+	0.238775i	−0.652460	−	0.757823i	$-0.726263\pi$
$197$	−10.3144	+	3.35136i	−0.734873	+	0.238775i	−0.0824135	+	0.996598i	$0.526263\pi$
$198$	0.981381	−	0.210746i	0.0697437	−	0.0149771i
$199$			8.23606i			0.583839i	0.956443	+	0.291919i	$0.0942939\pi$
$199$			8.23606i			0.583839i	−0.956443	+	0.291919i	$0.905706\pi$
$200$	−6.99963	+	12.2884i	−0.494949	+	0.868922i
$201$	11.9914	−	11.9028i	0.845806	−	0.839557i
$202$	6.33086	−	1.40871i	0.445438	−	0.0991164i
$203$	−3.94917	−	12.1543i	−0.277177	−	0.853064i
$204$	3.01223	+	1.10369i	0.210898	+	0.0772734i
$205$	−0.640752	−	0.590242i	−0.0447521	−	0.0412243i
$206$	−6.98885	−	11.8435i	−0.486936	−	0.825179i
$207$	18.0731	+	0.134020i	1.25617	+	0.00931504i
$208$	−1.66382	+	24.9123i	−0.115365	+	1.72736i
$209$	0.349469	+	0.481003i	0.0241733	+	0.0332717i
$210$	−1.14405	+	19.7336i	−0.0789472	+	1.36175i
$211$	−1.58299	−	1.15011i	−0.108977	−	0.0791768i	0.531962	−	0.846768i	$-0.321455\pi$
$211$	−1.58299	−	1.15011i	−0.108977	−	0.0791768i	−0.640939	+	0.767592i	$0.721455\pi$
$212$	11.1554	−	10.4353i	0.766159	−	0.716696i
$213$	13.3557	+	2.16612i	0.915117	+	0.148420i
$214$	−1.67904	+	0.373612i	−0.114777	+	0.0255396i
$215$	5.62788	+	28.0383i	0.383818	+	1.91220i
$216$	−10.2099	+	10.5716i	−0.694696	+	0.719303i
$217$	−36.6849	−	11.9196i	−2.49033	−	0.809158i
$218$	1.68147	+	1.48530i	0.113884	+	0.100597i
$219$	−5.28152	−	10.4613i	−0.356892	−	0.706908i
$220$	0.00811023	+	1.05802i	0.000546792	+	0.0713316i
$221$	1.78630	+	5.49768i	0.120160	+	0.369814i
$222$	4.18901	+	10.7264i	0.281148	+	0.719906i
$223$	−14.6577	−	10.6494i	−0.981549	−	0.713137i	−0.0234950	−	0.999724i	$-0.507479\pi$
$223$	−14.6577	−	10.6494i	−0.981549	−	0.713137i	−0.958054	+	0.286587i	$0.907479\pi$
$224$	−9.35577	+	18.1450i	−0.625109	+	1.21236i
$225$	−12.7587	−	7.88776i	−0.850577	−	0.525851i
$226$	14.5378	−	16.4579i	0.967043	−	1.09477i
$227$	−12.0388	−	8.74668i	−0.799041	−	0.580537i	0.111592	−	0.993754i	$-0.464405\pi$
$227$	−12.0388	−	8.74668i	−0.799041	−	0.580537i	−0.910633	+	0.413217i	$0.864405\pi$
$228$	−8.17401	−	2.99497i	−0.541337	−	0.198347i
$229$	2.45610	−	0.798034i	0.162303	−	0.0527356i	−0.226738	−	0.973956i	$-0.572806\pi$
$229$	2.45610	−	0.798034i	0.162303	−	0.0527356i	0.389042	+	0.921220i	$0.372806\pi$
$230$	−3.99532	+	18.6276i	−0.263443	+	1.22827i
$231$	0.666496	+	1.32015i	0.0438522	+	0.0868594i
$232$	8.26773	+	5.65377i	0.542803	+	0.371188i
$233$	2.38919	−	7.35316i	0.156521	−	0.481722i	−0.841791	−	0.539804i	$-0.818498\pi$
$233$	2.38919	−	7.35316i	0.156521	−	0.481722i	0.998312	+	0.0580819i	$0.0184985\pi$
$234$	−26.3431	−	2.71304i	−1.72210	−	0.177357i
$235$	0.875725	−	0.492433i	0.0571260	−	0.0321228i
$236$	−15.5876	−	8.60855i	−1.01467	−	0.560369i
$237$	2.10728	−	12.9929i	0.136883	−	0.843979i
$238$	−0.449340	+	4.70510i	−0.0291264	+	0.304987i
$239$	15.1661	+	11.0188i	0.981011	+	0.712746i	0.957934	−	0.286987i	$-0.0926538\pi$
$239$	15.1661	+	11.0188i	0.981011	+	0.712746i	0.0230767	+	0.999734i	$0.492654\pi$
$240$	−8.73375	−	12.7954i	−0.563761	−	0.825938i
$241$	−16.0789	+	11.6820i	−1.03573	+	0.752504i	−0.969448	−	0.245297i	$-0.921114\pi$
$241$	−16.0789	+	11.6820i	−1.03573	+	0.752504i	−0.0662843	+	0.997801i	$0.521114\pi$
$242$	−7.86568	−	13.3295i	−0.505625	−	0.856850i
$243$	−10.8165	−	11.2251i	−0.693878	−	0.720093i
$244$	−1.61418	+	8.37408i	−0.103337	+	0.536096i
$245$	−13.2069	+	2.65090i	−0.843755	+	0.169359i
$246$	0.888942	−	0.347162i	0.0566768	−	0.0221342i
$247$	−4.84733	−	14.9185i	−0.308428	−	0.949244i
$248$	28.4732	−	10.1581i	1.80805	−	0.645038i
$249$	−5.42805	−	5.46845i	−0.343989	−	0.346549i
$250$	10.8651	−	11.4870i	0.687167	−	0.726500i
$251$			21.7996i			1.37598i	0.725721	+	0.687989i	$0.241506\pi$
$251$			21.7996i			1.37598i	−0.725721	+	0.687989i	$0.758494\pi$
$252$	−18.8767	−	10.6084i	−1.18912	−	0.668267i
$253$	0.440451	+	1.35557i	0.0276909	+	0.0852239i
$254$	6.89669	+	2.99236i	0.432737	+	0.187757i
$255$	−2.97832	−	1.99854i	−0.186510	−	0.125154i
$256$	−2.87680	−	15.7393i	−0.179800	−	0.983703i
$257$	1.26139			0.0786831			0.0393415	−	0.999226i	$-0.487474\pi$
$257$	1.26139			0.0786831			0.0393415	+	0.999226i	$0.487474\pi$
$258$	−30.3061	−	7.93239i	−1.88678	−	0.493849i
$259$	−13.7256	+	9.97224i	−0.852868	+	0.619645i
$260$	8.42242	−	26.6140i	0.522336	−	1.65053i
$261$	−6.30795	+	8.54812i	−0.390452	+	0.529115i
$262$	−14.2277	−	1.35875i	−0.878989	−	0.0839440i
$263$	−10.9194	−	15.0292i	−0.673318	−	0.926742i	0.326512	−	0.945193i	$-0.394127\pi$
$263$	−10.9194	−	15.0292i	−0.673318	−	0.926742i	−0.999830	+	0.0184508i	$0.994127\pi$
$264$	−1.04545	−	0.500404i	−0.0643428	−	0.0307977i
$265$	−14.8863	+	8.37079i	−0.914460	+	0.514214i
$266$	1.21933	−	12.7678i	0.0747621	−	0.782844i
$267$	3.08364	+	6.10786i	0.188716	+	0.373795i
$268$	−19.3605	+	2.40788i	−1.18263	+	0.147085i
$269$	6.55123	−	20.1626i	0.399435	−	1.22934i	−0.526018	−	0.850473i	$-0.676316\pi$
$269$	6.55123	−	20.1626i	0.399435	−	1.22934i	0.925453	−	0.378862i	$-0.123684\pi$
$270$	13.8956	−	8.76991i	0.845661	−	0.533720i
$271$	−4.12053	+	1.33884i	−0.250305	+	0.0813289i	−0.431482	−	0.902122i	$-0.642009\pi$
$271$	−4.12053	+	1.33884i	−0.250305	+	0.0813289i	0.181177	+	0.983450i	$0.442009\pi$
$272$	−1.97281	−	3.13532i	−0.119619	−	0.190107i
$273$	−5.96070	−	38.5591i	−0.360758	−	2.33370i
$274$	9.22238	−	10.4404i	0.557145	−	0.630730i
$275$	0.272148	−	1.15120i	0.0164111	−	0.0694203i
$276$	−16.4179	−	12.8839i	−0.988242	−	0.775518i
$277$	8.22759	+	5.97769i	0.494348	+	0.359165i	0.806854	−	0.590751i	$-0.201168\pi$
$277$	8.22759	+	5.97769i	0.494348	+	0.359165i	−0.312506	+	0.949916i	$0.601168\pi$
$278$	−23.1982	−	10.0653i	−1.39134	−	0.603679i
$279$	9.68216	+	30.5681i	0.579656	+	1.83006i
$280$	14.9791	−	17.2218i	0.895174	−	1.02920i
$281$	3.35979	+	1.09166i	0.200428	+	0.0651231i	0.407511	−	0.913200i	$-0.366397\pi$
$281$	3.35979	+	1.09166i	0.200428	+	0.0651231i	−0.207083	+	0.978323i	$0.566397\pi$
$282$	0.0639735	+	1.09871i	0.00380957	+	0.0654274i
$283$	−6.09020	−	1.97882i	−0.362025	−	0.117629i	0.122356	−	0.992486i	$-0.460955\pi$
$283$	−6.09020	−	1.97882i	−0.362025	−	0.117629i	−0.484381	+	0.874857i	$0.660955\pi$
$284$	−10.6729	−	11.4095i	−0.633322	−	0.677031i
$285$	8.08200	+	5.42326i	0.478736	+	0.321246i
$286$	−0.453619	−	2.03861i	−0.0268231	−	0.120545i
$287$	0.826444	+	1.13750i	0.0487835	+	0.0671447i
$288$	16.7929	−	2.44950i	0.989528	−	0.144338i
$289$	13.0594	+	9.48824i	0.768203	+	0.558132i
$290$	−7.47774	−	8.33571i	−0.439108	−	0.489490i
$291$	−1.67205	+	10.3094i	−0.0980175	+	0.604347i
$292$	−2.56124	+	13.2872i	−0.149885	+	0.777577i
$293$			26.2173i			1.53163i	0.643060	+	0.765816i	$0.277665\pi$
$293$			26.2173i			1.53163i	−0.643060	+	0.765816i	$0.722335\pi$
$294$	3.73638	−	14.2751i	0.217910	−	0.832538i
$295$	14.6428	+	13.4885i	0.852537	+	0.785331i
$296$	3.74659	−	12.7580i	0.217766	−	0.741544i
$297$	0.570259	−	1.08908i	0.0330898	−	0.0631947i
$298$	−29.2322	+	6.50459i	−1.69338	+	0.376801i
$299$		−	37.6050i		−	2.17475i
$300$	6.08740	+	16.2155i	0.351456	+	0.936204i
$301$		−	46.1549i		−	2.66032i
$302$	−2.31460	−	10.4020i	−0.133190	−	0.598568i
$303$	3.63241	−	7.06413i	0.208676	−	0.405824i
$304$	5.35344	+	8.50802i	0.307041	+	0.487968i
$305$	3.97679	−	8.66595i	0.227711	−	0.496211i
$306$	3.39854	−	1.97164i	0.194282	−	0.112711i
$307$			8.03511i			0.458588i	0.973357	+	0.229294i	$0.0736417\pi$
$307$			8.03511i			0.458588i	−0.973357	+	0.229294i	$0.926358\pi$
$308$	0.323212	−	1.67677i	0.0184167	−	0.0955427i
$309$	−16.6253	−	2.69641i	−0.945779	−	0.153393i
$310$	−33.6206	+	3.47104i	−1.90952	+	0.197142i
$311$	−4.40807	−	3.20265i	−0.249959	−	0.181606i	0.455750	−	0.890108i	$-0.349371\pi$
$311$	−4.40807	−	3.20265i	−0.249959	−	0.181606i	−0.705708	+	0.708502i	$0.749371\pi$
$312$	22.1527	+	21.0796i	1.25415	+	1.19340i
$313$	−2.70907	−	3.72872i	−0.153126	−	0.210760i	0.725562	−	0.688157i	$-0.241580\pi$
$313$	−2.70907	−	3.72872i	−0.153126	−	0.210760i	−0.878687	+	0.477398i	$0.841580\pi$
$314$	11.4364	−	2.54476i	0.645392	−	0.143609i
$315$	17.6838	+	16.5338i	0.996368	+	0.931576i
$316$	−11.0996	+	10.3830i	−0.624400	+	0.584090i
$317$	1.55593	+	0.505553i	0.0873899	+	0.0283947i	0.352386	−	0.935855i	$-0.385371\pi$
$317$	1.55593	+	0.505553i	0.0873899	+	0.0283947i	−0.264996	+	0.964250i	$0.585371\pi$
$318$	−1.08748	−	18.6769i	−0.0609826	−	1.04735i
$319$	−0.796796	−	0.258895i	−0.0446120	−	0.0144953i
$320$	−1.05522	+	17.8574i	−0.0589883	+	0.998259i
$321$	−0.963373	+	1.87352i	−0.0537702	+	0.104570i
$322$	12.2386	−	28.2071i	0.682030	−	1.57192i
$323$	1.88282	+	1.36795i	0.104763	+	0.0761147i
$324$	1.95642	+	17.8934i	0.108690	+	0.994076i
$325$	−16.2144	+	26.6673i	−0.899413	+	1.47924i
$326$	−5.86593	−	5.18158i	−0.324884	−	0.286981i
$327$	2.71550	−	0.419779i	0.150168	−	0.0232138i
$328$	−1.05731	−	0.310496i	−0.0583803	−	0.0171443i
$329$	−1.54214	+	0.501071i	−0.0850208	+	0.0276249i
$330$	1.00252	+	0.821076i	0.0551867	+	0.0451987i
$331$	7.16094	−	22.0391i	0.393601	−	1.21138i	−0.536445	−	0.843935i	$-0.680233\pi$
$331$	7.16094	−	22.0391i	0.393601	−	1.21138i	0.930046	−	0.367444i	$-0.119767\pi$
$332$	1.09807	+	8.82899i	0.0602645	+	0.484554i
$333$	13.3804	+	4.45751i	0.733240	+	0.244270i
$334$	3.98312	+	0.380390i	0.217947	+	0.0208140i
$335$	21.6657	+	2.52609i	1.18372	+	0.138015i
$336$	9.75609	+	23.0212i	0.532239	+	1.25591i
$337$	4.21937	+	5.80747i	0.229844	+	0.316353i	0.908325	−	0.418265i	$-0.137362\pi$
$337$	4.21937	+	5.80747i	0.229844	+	0.316353i	−0.678481	+	0.734618i	$0.737362\pi$
$338$	−3.49051	+	36.5496i	−0.189859	+	1.98804i
$339$	−4.10872	−	26.5789i	−0.223155	−	1.44357i
$340$	1.30998	+	3.92896i	0.0710435	+	0.213078i
$341$	−2.04577	+	1.48634i	−0.110784	+	0.0804896i
$342$	−9.22231	+	5.35027i	−0.498686	+	0.289309i
$343$	−3.52196			−0.190168
$344$	22.0881	+	28.6466i	1.19091	+	1.54452i
$345$	14.4092	+	18.3522i	0.775766	+	0.988048i
$346$	10.8375	−	24.9779i	0.582628	−	1.34282i
$347$	−5.73985	−	17.6654i	−0.308131	−	0.948331i	−0.978490	−	0.206294i	$-0.933860\pi$
$347$	−5.73985	−	17.6654i	−0.308131	−	0.948331i	0.670359	−	0.742037i	$-0.266140\pi$
$348$	11.7991	−	3.35596i	0.632497	−	0.179898i
$349$			25.5157i			1.36582i	0.730501	+	0.682912i	$0.239287\pi$
$349$			25.5157i			1.36582i	−0.730501	+	0.682912i	$0.760713\pi$
$350$	−20.8412	+	14.7258i	−1.11401	+	0.787130i
$351$	−23.1881	+	22.6779i	−1.23769	+	1.21046i
$352$	0.601838	+	1.19538i	0.0320781	+	0.0637142i
$353$	8.84525	+	27.2229i	0.470785	+	1.44893i	0.851559	+	0.524259i	$0.175658\pi$
$353$	8.84525	+	27.2229i	0.470785	+	1.44893i	−0.380773	+	0.924668i	$0.624342\pi$
$354$	−20.3145	+	7.93352i	−1.07971	+	0.421662i
$355$	8.56145	+	15.2254i	0.454395	+	0.808080i
$356$	1.49539	−	7.75781i	0.0792554	−	0.411163i
$357$	4.07807	+	4.10843i	0.215835	+	0.217441i
$358$	25.1330	−	14.8309i	1.32832	−	0.783838i
$359$	−8.75733	+	6.36258i	−0.462194	+	0.335804i	−0.794391	−	0.607406i	$-0.792210\pi$
$359$	−8.75733	+	6.36258i	−0.462194	+	0.335804i	0.332197	+	0.943210i	$0.392210\pi$
$360$	−18.8882	−	1.79907i	−0.995495	−	0.0948191i
$361$	10.2621	+	7.45585i	0.540110	+	0.392413i
$362$	−15.4612	−	1.47655i	−0.812620	−	0.0776057i
$363$	−18.7111	−	3.03471i	−0.982079	−	0.159281i
$364$	−21.7806	+	39.4384i	−1.14161	+	2.06713i
$365$	6.31002	−	13.7503i	0.330281	−	0.719726i
$366$	6.62017	+	8.07896i	0.346042	+	0.422294i
$367$	5.73278	−	17.6437i	0.299249	−	0.920993i	−0.682512	−	0.730874i	$-0.739113\pi$
$367$	5.73278	−	17.6437i	0.299249	−	0.920993i	0.981761	−	0.190119i	$-0.0608873\pi$
$368$	5.90293	+	23.3640i	0.307711	+	1.21793i
$369$	0.369414	−	1.10889i	0.0192309	−	0.0577266i
$370$	−7.45682	+	12.8608i	−0.387661	+	0.668601i
$371$	26.2146	−	8.51764i	1.36099	−	0.442214i
$372$	12.7380	−	34.7651i	0.660433	−	1.80249i
$373$	6.79541	+	4.93715i	0.351853	+	0.255636i	0.749646	−	0.661839i	$-0.230224\pi$
$373$	6.79541	+	4.93715i	0.351853	+	0.255636i	−0.397793	+	0.917475i	$0.630224\pi$
$374$	0.232228	+	0.205135i	0.0120082	+	0.0106073i
$375$	−2.30515	−	19.2272i	−0.119037	−	0.992890i
$376$	0.717351	−	1.04901i	0.0369945	−	0.0540986i
$377$	17.8825	+	12.9924i	0.920996	+	0.669143i
$378$	−24.7737	+	9.46386i	−1.27422	+	0.486768i
$379$	−6.64305	−	20.4452i	−0.341231	−	1.05020i	−0.963571	−	0.267453i	$-0.913818\pi$
$379$	−6.64305	−	20.4452i	−0.341231	−	1.05020i	0.622340	−	0.782747i	$-0.286182\pi$
$380$	−3.55476	−	10.6617i	−0.182355	−	0.546931i
$381$	8.21937	−	4.14967i	0.421091	−	0.212594i
$382$	−15.0829	+	17.0750i	−0.771709	+	0.873633i
$383$	17.4416	+	5.66712i	0.891224	+	0.289576i	0.718610	−	0.695413i	$-0.244779\pi$
$383$	17.4416	+	5.66712i	0.891224	+	0.289576i	0.172614	+	0.984990i	$0.444779\pi$
$384$	−17.0724	−	9.61943i	−0.871222	−	0.490890i
$385$	−0.796285	+	1.73521i	−0.0405824	+	0.0884344i
$386$	1.33351	+	5.99292i	0.0678740	+	0.305032i
$387$	−31.2064	+	22.3211i	−1.58631	+	1.13465i
$388$	8.80713	−	8.23855i	0.447114	−	0.418249i
$389$	−23.1929	−	16.8507i	−1.17593	−	0.854363i	−0.184223	−	0.982885i	$-0.558977\pi$
$389$	−23.1929	−	16.8507i	−1.17593	−	0.854363i	−0.991707	+	0.128522i	$0.958977\pi$
$390$	−18.4610	−	28.7759i	−0.934811	−	1.45712i
$391$	3.27941	+	4.51371i	0.165847	+	0.228268i
$392$	−13.4934	+	10.4042i	−0.681517	+	0.525489i
$393$	−12.4234	+	12.3316i	−0.626678	+	0.622048i
$394$	13.2091	−	7.79468i	0.665467	−	0.392691i
$395$	14.8118	−	8.32888i	0.745262	−	0.419071i
$396$	−1.29001	+	0.592376i	−0.0648256	+	0.0297680i
$397$	−3.74215	−	11.5171i	−0.187813	−	0.578029i	0.812172	−	0.583417i	$-0.198285\pi$
$397$	−3.74215	−	11.5171i	−0.187813	−	0.578029i	−0.999985	+	0.00538830i	$0.998285\pi$
$398$	−2.52988	−	11.3695i	−0.126811	−	0.569901i
$399$	−11.0663	−	11.1487i	−0.554007	−	0.558131i
$400$	5.88802	−	19.1136i	0.294401	−	0.955682i
$401$			27.6288i			1.37971i	0.723945	+	0.689857i	$0.242327\pi$
$401$			27.6288i			1.37971i	−0.723945	+	0.689857i	$0.757673\pi$
$402$	−12.8973	+	20.1146i	−0.643260	+	1.00323i
$403$	63.4504	−	20.6163i	3.16069	−	1.02697i
$404$	−8.30673	+	3.88931i	−0.413275	+	0.193500i
$405$	2.62681	−	19.9524i	0.130527	−	0.991445i
$406$	9.18508	+	15.5653i	0.455848	+	0.772495i
$407$			1.11222i			0.0551308i
$408$	−4.49726	−	0.598316i	−0.222647	−	0.0296210i
$409$	21.9691	−	15.9615i	1.08630	−	0.789243i	0.107530	−	0.994202i	$-0.465706\pi$
$409$	21.9691	−	15.9615i	1.08630	−	0.789243i	0.978771	+	0.204958i	$0.0657059\pi$
$410$	1.06583	+	0.617980i	0.0526377	+	0.0305199i
$411$	−2.60645	−	16.8609i	−0.128567	−	0.831685i
$412$	13.2858	+	14.2027i	0.654542	+	0.699715i
$413$	−18.8863	−	25.9948i	−0.929335	−	1.27912i
$414$	−24.9903	+	5.36653i	−1.22820	+	0.263750i
$415$	1.15198	−	9.88023i	0.0565485	−	0.485002i
$416$	−5.35551	−	34.9014i	−0.262576	−	1.71118i
$417$	−27.6473	+	13.9581i	−1.35389	+	0.683533i
$418$	−0.630175	−	0.556655i	−0.0308229	−	0.0272269i
$419$	−8.49264	−	2.75943i	−0.414893	−	0.134807i	0.0941300	−	0.995560i	$-0.469993\pi$
$419$	−8.49264	−	2.75943i	−0.414893	−	0.134807i	−0.509023	+	0.860753i	$0.669993\pi$
$420$	−4.48226	−	27.5927i	−0.218712	−	1.34638i
$421$	24.8807	−	8.08422i	1.21261	−	0.394001i	0.368224	−	0.929737i	$-0.379966\pi$
$421$	24.8807	−	8.08422i	1.21261	−	0.394001i	0.844385	+	0.535736i	$0.179966\pi$
$422$	2.53852	+	1.10142i	0.123573	+	0.0536164i
$423$	1.08459	+	0.800353i	0.0527344	+	0.0389145i
$424$	−12.1941	+	17.8320i	−0.592200	+	0.865998i
$425$	−0.379356	−	4.61487i	−0.0184015	−	0.223854i
$426$	−19.1023	+	1.11225i	−0.925507	+	0.0538884i
$427$	−9.04527	+	12.4497i	−0.437731	+	0.602486i
$428$	2.20308	−	1.03151i	0.106490	−	0.0498597i
$429$	−2.27473	−	1.16968i	−0.109825	−	0.0564725i
$430$	−16.3816	−	36.9768i	−0.789989	−	1.78318i
$431$	−3.95411	+	12.1695i	−0.190463	+	0.586184i	−1.00000		0.000885139i	$-0.999718\pi$
$431$	−3.95411	+	12.1695i	−0.190463	+	0.586184i	0.809537	+	0.587069i	$0.199718\pi$
$432$	10.8470	−	17.7297i	0.521877	−	0.853021i
$433$	11.1122	+	3.61057i	0.534018	+	0.173513i	0.563598	−	0.826049i	$-0.309417\pi$
$433$	11.1122	+	3.61057i	0.534018	+	0.173513i	−0.0295795	+	0.999562i	$0.509417\pi$
$434$	54.3031	+	5.18597i	2.60663	+	0.248935i
$435$	−13.7054	+	0.511473i	−0.657126	+	0.0245233i
$436$	−2.77743	−	1.53388i	−0.133015	−	0.0734597i
$437$	−8.89902	−	12.2484i	−0.425698	−	0.585923i
$438$	10.5043	+	12.8190i	0.501914	+	0.612514i
$439$	7.91220	−	10.8902i	0.377628	−	0.519761i	−0.577326	−	0.816514i	$-0.695904\pi$
$439$	7.91220	−	10.8902i	0.377628	−	0.519761i	0.954954	+	0.296753i	$0.0959038\pi$
$440$	−0.336188	−	1.45805i	−0.0160271	−	0.0695099i
$441$	−10.5139	−	14.6991i	−0.500662	−	0.699959i
$442$	−4.15463	−	7.04058i	−0.197616	−	0.334886i
$443$	32.2956			1.53441			0.767205	−	0.641402i	$-0.221647\pi$
$443$	32.2956			1.53441			0.767205	+	0.641402i	$0.221647\pi$
$444$	−9.07754	−	13.5205i	−0.430801	−	0.641653i
$445$	−3.68413	+	8.02820i	−0.174645	+	0.380573i
$446$	23.5054	+	10.1986i	1.11301	+	0.482918i
$447$	−16.7723	+	32.6180i	−0.793305	+	1.54278i
$448$	7.34158	−	27.9221i	0.346857	−	1.31919i
$449$			29.9869i			1.41517i	0.706629	+	0.707585i	$0.250215\pi$
$449$			29.9869i			1.41517i	−0.706629	+	0.707585i	$0.749785\pi$
$450$	20.0356	+	6.96959i	0.944487	+	0.328550i
$451$	0.0921748			0.00434034
$452$	−15.0134	+	27.1850i	−0.706171	+	1.27867i
$453$	−11.6068	−	5.96828i	−0.545336	−	0.280414i
$454$	19.3057	+	8.37641i	0.906059	+	0.393124i
$455$	34.1274	−	37.0479i	1.59992	−	1.73683i
$456$	12.2038	+	1.62359i	0.571495	+	0.0760317i
$457$			0.928249i			0.0434217i	0.999764	+	0.0217108i	$0.00691132\pi$
$457$			0.928249i			0.0434217i	−0.999764	+	0.0217108i	$0.993089\pi$
$458$	−3.14539	+	1.85609i	−0.146974	+	0.0867293i
$459$	0.805595	−	4.74418i	0.0376020	−	0.221439i
$460$	−0.206522	−	26.9418i	−0.00962914	−	1.25617i
$461$	21.7017	+	15.7672i	1.01075	+	0.734351i	0.964366	−	0.264573i	$-0.0852310\pi$
$461$	21.7017	+	15.7672i	1.01075	+	0.734351i	0.0463816	+	0.998924i	$0.485231\pi$
$462$	−1.32558	−	1.61767i	−0.0616714	−	0.0752610i
$463$	−6.87447	+	4.99459i	−0.319484	+	0.232118i	−0.735955	−	0.677030i	$-0.763267\pi$
$463$	−6.87447	+	4.99459i	−0.319484	+	0.232118i	0.416472	+	0.909149i	$0.363267\pi$
$464$	−13.1499	−	5.26515i	−0.610468	−	0.244428i
$465$	−23.0658	+	34.3737i	−1.06965	+	1.59404i
$466$	−1.03948	+	10.8846i	−0.0481531	+	0.504218i
$467$	−8.55349	+	26.3249i	−0.395808	+	1.21817i	0.532522	+	0.846416i	$0.321244\pi$
$467$	−8.55349	+	26.3249i	−0.395808	+	1.21817i	−0.928330	+	0.371756i	$0.878756\pi$
$468$	37.1987	−	4.34659i	1.71951	−	0.200921i
$469$	−33.4810	−	10.8786i	−1.54601	−	0.502329i
$470$	−1.05764	+	0.948776i	−0.0487851	+	0.0437638i
$471$	6.56176	−	12.7610i	0.302350	−	0.587996i
$472$	24.1622	+	7.09562i	1.11216	+	0.326602i
$473$	−2.44789	−	1.77850i	−0.112554	−	0.0817755i
$474$	1.08203	+	18.5833i	0.0496993	+	0.853561i
$475$	1.02942	+	12.5229i	0.0472332	+	0.574592i
$476$	−0.824977	−	6.63319i	−0.0378128	−	0.304032i
$477$	−18.4367	−	13.6051i	−0.844160	−	0.622934i
$478$	−24.3207	−	10.5523i	−1.11240	−	0.482653i
$479$	−4.84719	−	14.9181i	−0.221474	−	0.681626i	−0.998630	−	0.0523187i	$-0.983339\pi$
$479$	−4.84719	−	14.9181i	−0.221474	−	0.681626i	0.777157	−	0.629307i	$-0.216661\pi$
$480$	15.9869	+	14.9806i	0.729698	+	0.683770i
$481$	9.06784	−	27.9079i	0.413458	−	1.27249i
$482$	18.6078	−	21.0654i	0.847560	−	0.959502i
$483$	−16.9719	−	33.6168i	−0.772248	−	1.52962i
$484$	14.9526	+	15.9846i	0.679664	+	0.726571i
$485$	−11.7526	+	6.60867i	−0.533660	+	0.300084i
$486$	18.3797	+	12.1733i	0.833718	+	0.552190i
$487$	−12.6029	+	9.15657i	−0.571093	+	0.414924i	−0.835502	−	0.549487i	$-0.814823\pi$
$487$	−12.6029	+	9.15657i	−0.571093	+	0.414924i	0.264409	+	0.964411i	$0.414823\pi$
$488$	−0.343973	−	12.0558i	−0.0155709	−	0.545742i
$489$	−9.47324	+	1.46443i	−0.428395	+	0.0662238i
$490$	17.4171	−	7.71619i	0.786826	−	0.348582i
$491$	−6.49485	−	8.93940i	−0.293109	−	0.403429i	0.636912	−	0.770936i	$-0.280211\pi$
$491$	−6.49485	−	8.93940i	−0.293109	−	0.403429i	−0.930021	+	0.367507i	$0.880211\pi$
$492$	−1.12050	+	0.752297i	−0.0505162	+	0.0339162i
$493$	−3.27946			−0.147699
$494$	11.2740	+	19.1054i	0.507243	+	0.859591i
$495$	1.55831	−	0.300783i	0.0700409	−	0.0135192i
$496$	−36.1857	+	22.7689i	−1.62478	+	1.02235i
$497$	−8.71164	−	26.8117i	−0.390770	−	1.20267i
$498$	9.17290	+	5.88159i	0.411048	+	0.263560i
$499$	−4.41572			−0.197675			−0.0988374	−	0.995104i	$-0.531512\pi$
$499$	−4.41572			−0.197675			−0.0988374	+	0.995104i	$0.531512\pi$
$500$	−11.4702	+	19.1946i	−0.512964	+	0.858410i
$501$	3.47800	−	3.45231i	0.155386	−	0.154238i
$502$	−6.69619	−	30.0933i	−0.298866	−	1.34313i
$503$	35.9564	−	11.6829i	1.60322	−	0.520917i	0.635317	−	0.772252i	$-0.280870\pi$
$503$	35.9564	−	11.6829i	1.60322	−	0.520917i	0.967900	+	0.251335i	$0.0808695\pi$
$504$	29.3169	+	8.84603i	1.30588	+	0.394034i
$505$	10.0542	−	2.01810i	0.447408	−	0.0898043i
$506$	−1.02441	−	1.73600i	−0.0455407	−	0.0771748i
$507$	31.6788	+	31.9146i	1.40690	+	1.41738i
$508$	−10.4397	−	2.01235i	−0.463187	−	0.0892836i
$509$	−26.2535	+	19.0743i	−1.16367	+	0.845452i	−0.990237	−	0.139394i	$-0.955484\pi$
$509$	−26.2535	+	19.0743i	−1.16367	+	0.845452i	−0.173428	+	0.984847i	$0.555484\pi$
$510$	4.72532	+	1.84404i	0.209241	+	0.0816553i
$511$	−14.3522	+	19.7541i	−0.634905	+	0.873871i
$512$	8.80592	+	20.8436i	0.389170	+	0.921166i
$513$	−2.18607	+	12.8738i	−0.0965173	+	0.568394i
$514$	−1.74128	+	0.387461i	−0.0768047	+	0.0170902i
$515$	−10.6574	−	18.9527i	−0.469620	−	0.835155i
$516$	44.2727	+	1.64113i	1.94900	+	0.0722466i
$517$	−0.0328486	+	0.101098i	−0.00144468	+	0.00444627i
$518$	15.8844	−	17.9823i	0.697919	−	0.790097i
$519$	−15.0289	−	29.7683i	−0.659697	−	1.30668i
$520$	−3.45171	+	39.3264i	−0.151368	+	1.72458i
$521$	20.2889	−	6.59225i	0.888871	−	0.288812i	0.171235	−	0.985230i	$-0.445224\pi$
$521$	20.2889	−	6.59225i	0.888871	−	0.288812i	0.717636	+	0.696419i	$0.245224\pi$
$522$	6.08208	−	13.7379i	0.266206	−	0.601291i
$523$	−7.28124	+	10.0218i	−0.318386	+	0.438221i	−0.937974	−	0.346707i	$-0.887300\pi$
$523$	−7.28124	+	10.0218i	−0.318386	+	0.438221i	0.619587	+	0.784928i	$0.287300\pi$
$524$	20.0580	−	2.49463i	0.876238	−	0.108979i
$525$	−2.45928	+	31.1570i	−0.107332	+	1.35980i
$526$	19.6902	+	17.3930i	0.858534	+	0.758372i
$527$	−5.81806	+	8.00787i	−0.253439	+	0.348828i
$528$	1.59690	+	0.369653i	0.0694961	+	0.0160871i
$529$	−4.10843	−	12.6444i	−0.178627	−	0.549759i
$530$	17.9786	−	16.1281i	0.780940	−	0.700561i
$531$	−8.44203	+	25.3410i	−0.366353	+	1.09970i
$532$	2.23866	+	17.9999i	0.0970584	+	0.780394i
$533$	−2.31286	−	0.751492i	−0.100181	−	0.0325507i
$534$	−6.13297	−	7.48441i	−0.265400	−	0.323882i
$535$	−2.66655	+	0.535232i	−0.115285	+	0.0231401i
$536$	25.9865	−	9.27093i	1.12245	−	0.400443i
$537$	5.72200	−	35.2802i	0.246923	−	1.52245i
$538$	−2.85029	+	29.8458i	−0.122885	+	1.28675i
$539$	0.837724	−	1.15303i	0.0360833	−	0.0496645i
$540$	−16.4884	+	16.3748i	−0.709547	+	0.704658i
$541$	3.27064	+	4.50164i	0.140616	+	0.193541i	0.873516	−	0.486795i	$-0.161834\pi$
$541$	3.27064	+	4.50164i	0.140616	+	0.193541i	−0.732901	+	0.680336i	$0.761834\pi$
$542$	5.27694	−	3.11391i	0.226664	−	0.133754i
$543$	−13.5005	+	13.4007i	−0.579360	+	0.575080i
$544$	3.68645	+	3.72216i	0.158055	+	0.159586i
$545$	2.60908	+	2.40340i	0.111761	+	0.102950i
$546$	20.0727	+	51.3980i	0.859032	+	2.19963i
$547$	2.16687	−	0.704057i	0.0926485	−	0.0301033i	−0.262326	−	0.964979i	$-0.584490\pi$
$547$	2.16687	−	0.704057i	0.0926485	−	0.0301033i	0.354974	+	0.934876i	$0.384490\pi$
$548$	−9.52406	+	17.2454i	−0.406848	+	0.736685i
$549$	12.7920	+	0.0948582i	0.545949	+	0.00404845i
$550$	−0.0220706	+	1.67278i	−0.000941092	+	0.0713275i
$551$	8.89916			0.379117
$552$	26.6217	+	12.7425i	1.13309	+	0.542356i
$553$	−26.0833	+	8.47499i	−1.10918	+	0.360393i
$554$	−13.1940	−	5.72464i	−0.560558	−	0.243217i
$555$	6.26823	+	17.0943i	0.266071	+	0.725613i
$556$	35.1158	+	6.76889i	1.48924	+	0.287065i
$557$		−	32.0446i		−	1.35777i	−0.734243	−	0.678887i	$-0.762463\pi$
$557$		−	32.0446i		−	1.35777i	0.734243	−	0.678887i	$-0.237537\pi$
$558$	−22.7554	−	39.2237i	−0.963311	−	1.66047i
$559$	46.9227	+	64.5836i	1.98462	+	2.73160i
$560$	−15.3879	+	28.3750i	−0.650259	+	1.19906i
$561$	0.375038	−	0.0579757i	0.0158341	−	0.00244774i
$562$	−4.97335	−	0.474958i	−0.209788	−	0.0200349i
$563$	6.95888	−	5.05592i	0.293282	−	0.213082i	−0.431408	−	0.902157i	$-0.641983\pi$
$563$	6.95888	−	5.05592i	0.293282	−	0.213082i	0.724690	+	0.689075i	$0.241983\pi$
$564$	−0.425804	−	1.49707i	−0.0179296	−	0.0630380i
$565$	23.5241	−	25.5372i	0.989666	−	1.07436i
$566$	9.01506	+	0.860943i	0.378931	+	0.0361881i
$567$	−10.4939	+	30.7381i	−0.440701	+	1.29088i
$568$	18.2381	+	12.4719i	0.765255	+	0.523309i
$569$	3.03236	+	0.985273i	0.127123	+	0.0413048i	0.371888	−	0.928278i	$-0.378711\pi$
$569$	3.03236	+	0.985273i	0.127123	+	0.0413048i	−0.244765	+	0.969583i	$0.578711\pi$
$570$	−12.8227	−	5.00399i	−0.537082	−	0.209594i
$571$	−11.4984	−	35.3886i	−0.481195	−	1.48097i	−0.837417	−	0.546564i	$-0.815935\pi$
$571$	−11.4984	−	35.3886i	−0.481195	−	1.48097i	0.356222	−	0.934401i	$-0.384065\pi$
$572$	1.25240	+	2.67486i	0.0523654	+	0.111841i
$573$	4.26277	+	27.5754i	0.178080	+	1.15198i
$574$	−1.49027	−	1.31641i	−0.0622028	−	0.0549458i
$575$	−6.93007	+	29.3147i	−0.289004	+	1.22251i
$576$	−22.4293	+	8.53969i	−0.934554	+	0.355820i
$577$	−7.13841	+	9.82518i	−0.297176	+	0.409028i	−0.931328	−	0.364180i	$-0.881349\pi$
$577$	−7.13841	+	9.82518i	−0.297176	+	0.409028i	0.634152	+	0.773208i	$0.281349\pi$
$578$	−20.9424	−	9.08658i	−0.871091	−	0.377952i
$579$	6.68705	+	3.43851i	0.277904	+	0.142900i
$580$	12.8831	+	9.21010i	0.534943	+	0.382429i
$581$	−4.96101	+	15.2684i	−0.205817	+	0.633441i
$582$	−0.858553	−	14.7452i	−0.0355882	−	0.611209i
$583$	0.558389	−	1.71854i	0.0231261	−	0.0711748i
$584$	−0.545785	−	19.1291i	−0.0225847	−	0.791568i
$585$	−41.5535	−	5.15750i	−1.71803	−	0.213236i
$586$	−8.05319	−	36.1917i	−0.332674	−	1.49507i
$587$	−3.95686	+	2.87483i	−0.163317	+	0.118657i	−0.666442	−	0.745557i	$-0.732184\pi$
$587$	−3.95686	+	2.87483i	−0.163317	+	0.118657i	0.503125	+	0.864214i	$0.332184\pi$
$588$	−0.773018	+	20.8537i	−0.0318787	+	0.859993i
$589$	15.7879	−	21.7302i	0.650530	−	0.895378i
$590$	−24.3569	−	14.1224i	−1.00276	−	0.581410i
$591$	3.00731	−	18.5422i	0.123704	−	0.762725i
$592$	−1.25310	+	18.7626i	−0.0515021	+	0.771140i
$593$	−41.9092			−1.72100			−0.860502	−	0.509448i	$-0.829850\pi$
$593$	−41.9092			−1.72100			−0.860502	+	0.509448i	$0.829850\pi$
$594$	−0.452682	+	1.67858i	−0.0185738	+	0.0688732i
$595$	−0.865479	+	7.42299i	−0.0354812	+	0.304313i
$596$	38.3556	−	17.9586i	1.57111	−	0.735611i
$597$	−12.6864	−	6.52338i	−0.519218	−	0.266984i
$598$	11.5511	+	51.9118i	0.472361	+	2.12283i
$599$	−23.5822			−0.963544			−0.481772	−	0.876297i	$-0.660007\pi$
$599$	−23.5822			−0.963544			−0.481772	+	0.876297i	$0.660007\pi$
$600$	−13.3843	−	20.5149i	−0.546412	−	0.837517i
$601$	−35.3556			−1.44218			−0.721092	−	0.692839i	$-0.756359\pi$
$601$	−35.3556			−1.44218			−0.721092	+	0.692839i	$0.756359\pi$
$602$	14.1774	+	63.7145i	0.577828	+	2.59681i
$603$	8.83658	+	27.8984i	0.359853	+	1.13611i
$604$	6.39038	+	13.6485i	0.260021	+	0.555349i
$605$	−11.9945	−	21.3305i	−0.487644	−	0.867209i
$606$	−2.84447	+	10.8675i	−0.115549	+	0.441460i
$607$	22.9794			0.932703			0.466352	−	0.884599i	$-0.345568\pi$
$607$	22.9794			0.932703			0.466352	+	0.884599i	$0.345568\pi$
$608$	−10.0036	−	10.1005i	−0.405699	−	0.409629i
$609$	21.8497	+	3.54375i	0.885396	+	0.143600i
$610$	−2.82785	+	13.1845i	−0.114496	+	0.533824i
$611$	1.64848	−	2.26893i	0.0666903	−	0.0917913i
$612$	−4.08589	+	3.76569i	−0.165163	+	0.152219i
$613$	10.7234	−	7.79103i	0.433115	−	0.314677i	−0.349778	−	0.936833i	$-0.613743\pi$
$613$	10.7234	−	7.79103i	0.433115	−	0.314677i	0.782893	+	0.622156i	$0.213743\pi$
$614$	−2.46815	−	11.0921i	−0.0996064	−	0.447640i
$615$	1.41668	−	0.519476i	0.0571262	−	0.0209473i
$616$	0.0688746	+	2.41398i	0.00277504	+	0.0972619i
$617$	−2.22161	+	6.83741i	−0.0894386	+	0.275264i	−0.985764	−	0.168132i	$-0.946226\pi$
$617$	−2.22161	+	6.83741i	−0.0894386	+	0.275264i	0.896326	+	0.443396i	$0.146226\pi$
$618$	23.7786	−	1.38453i	0.956517	−	0.0556940i
$619$	−9.63207	+	29.6445i	−0.387146	+	1.19151i	0.547766	+	0.836632i	$0.315478\pi$
$619$	−9.63207	+	29.6445i	−0.387146	+	1.19151i	−0.934912	+	0.354880i	$0.884522\pi$
$620$	45.3453	−	15.1188i	1.82111	−	0.607188i
$621$	−14.5213	+	27.7327i	−0.582719	+	1.11287i
$622$	7.06888	+	3.06707i	0.283436	+	0.122978i
$623$	8.37960	−	11.5335i	0.335722	−	0.462081i
$624$	−37.0557	−	22.2947i	−1.48342	−	0.892502i
$625$	17.5542	−	17.8002i	0.702170	−	0.712009i
$626$	4.88509	+	4.31517i	0.195248	+	0.172469i
$627$	−1.01771	+	0.157323i	−0.0406433	+	0.00628288i
$628$	−15.0057	+	7.02583i	−0.598792	+	0.280361i
$629$	1.34535	+	4.14056i	0.0536425	+	0.165095i
$630$	−29.4903	−	17.3922i	−1.17492	−	0.692923i
$631$	−21.0316	−	6.83358i	−0.837255	−	0.272041i	−0.141157	−	0.989987i	$-0.545082\pi$
$631$	−21.0316	−	6.83358i	−0.837255	−	0.272041i	−0.696098	+	0.717947i	$0.745082\pi$
$632$	12.1331	−	17.7427i	0.482628	−	0.705767i
$633$	3.02537	−	1.52740i	0.120248	−	0.0607087i
$634$	−2.30318	−	0.219955i	−0.0914710	−	0.00873553i
$635$	10.8036	+	4.95775i	0.428727	+	0.196742i
$636$	7.23819	+	25.4485i	0.287013	+	1.00910i
$637$	−30.4208	+	22.1020i	−1.20531	+	0.875712i
$638$	1.17946	+	0.112639i	0.0466954	+	0.00445944i
$639$	−13.9150	+	18.8567i	−0.550467	+	0.745958i
$640$	−4.02859	−	24.9754i	−0.159244	−	0.987239i
$641$	21.3043	+	29.3228i	0.841469	+	1.15818i	0.985678	+	0.168635i	$0.0539361\pi$
$641$	21.3043	+	29.3228i	0.841469	+	1.15818i	−0.144210	+	0.989547i	$0.546064\pi$
$642$	0.754399	−	2.88222i	0.0297738	−	0.113752i
$643$			11.5392i			0.455062i	0.973771	+	0.227531i	$0.0730654\pi$
$643$			11.5392i			0.455062i	−0.973771	+	0.227531i	$0.926935\pi$
$644$	−8.23040	+	42.6978i	−0.324323	+	1.68253i
$645$	−47.6462	−	13.5389i	−1.87607	−	0.533094i
$646$	−3.01933	−	1.31004i	−0.118794	−	0.0515428i
$647$	24.0373	−	7.81018i	0.945002	−	0.307050i	0.204319	−	0.978904i	$-0.434502\pi$
$647$	24.0373	−	7.81018i	0.945002	−	0.307050i	0.740683	+	0.671855i	$0.234502\pi$
$648$	−8.19705	−	24.1000i	−0.322011	−	0.946736i
$649$	−2.10643			−0.0826845
$650$	14.1918	−	41.7935i	0.556648	−	1.63928i
$651$	47.4166	−	47.0663i	1.85840	−	1.84467i
$652$	9.68926	+	5.35107i	0.379461	+	0.209564i
$653$	−10.3366	+	3.35856i	−0.404502	+	0.131431i	−0.504199	−	0.863587i	$-0.668212\pi$
$653$	−10.3366	+	3.35856i	−0.404502	+	0.131431i	0.0996979	+	0.995018i	$0.468212\pi$
$654$	−3.61968	+	1.41361i	−0.141541	+	0.0552764i
$655$	−22.4462	−	2.61711i	−0.877047	−	0.102259i
$656$	1.55494	+	0.103850i	0.0607104	+	0.00405466i
$657$	20.2972	+	0.150512i	0.791869	+	0.00587205i
$658$	1.97493	−	1.16540i	0.0769909	−	0.0454322i
$659$	−1.85923	−	2.55902i	−0.0724255	−	0.0996852i	0.771267	−	0.636511i	$-0.219623\pi$
$659$	−1.85923	−	2.55902i	−0.0724255	−	0.0996852i	−0.843693	+	0.536826i	$0.819623\pi$
$660$	−1.63613	−	0.825512i	−0.0636865	−	0.0321330i
$661$	14.6813	−	20.2070i	0.571035	−	0.785963i	−0.421642	−	0.906763i	$-0.638546\pi$
$661$	14.6813	−	20.2070i	0.571035	−	0.785963i	0.992677	+	0.120800i	$0.0385460\pi$
$662$	−3.11557	+	32.6236i	−0.121090	+	1.26795i
$663$	−9.88315	−	1.60292i	−0.383830	−	0.0622523i
$664$	−4.22784	−	11.8507i	−0.164072	−	0.459896i
$665$	2.34857	−	20.1431i	0.0910736	−	0.781115i
$666$	−19.8402	−	2.04332i	−0.768791	−	0.0791770i
$667$	20.2899	+	6.59260i	0.785629	+	0.255266i
$668$	−5.61535	+	0.698387i	−0.217264	+	0.0270214i
$669$	28.0134	−	14.1429i	1.08306	−	0.546797i
$670$	−30.6843	+	3.16790i	−1.18544	+	0.122387i
$671$	0.311747	+	0.959460i	0.0120349	+	0.0370395i
$672$	−20.5392	−	28.7828i	−0.792318	−	1.11032i
$673$	−25.7225	+	35.4040i	−0.991529	+	1.36472i	−0.0611485	+	0.998129i	$0.519476\pi$
$673$	−25.7225	+	35.4040i	−0.991529	+	1.36472i	−0.930381	+	0.366594i	$0.880524\pi$
$674$	−7.60852	−	6.72086i	−0.293069	−	0.258878i
$675$	22.2554	−	13.4052i	0.856609	−	0.515966i
$676$	−6.40848	−	51.5271i	−0.246480	−	1.98181i
$677$	15.4294	−	21.2367i	0.593000	−	0.816194i	−0.402045	−	0.915620i	$-0.631701\pi$
$677$	15.4294	−	21.2367i	0.593000	−	0.816194i	0.995045	+	0.0994258i	$0.0317006\pi$
$678$	13.8361	+	35.4288i	0.531374	+	1.36063i
$679$	20.6962	−	6.72460i	0.794247	−	0.258067i
$680$	−3.01522	−	5.02135i	−0.115628	−	0.192560i
$681$	23.0082	−	11.6160i	0.881676	−	0.445126i
$682$	2.36752	−	2.68021i	0.0906571	−	0.102631i
$683$	−7.11649	+	21.9023i	−0.272305	+	0.838068i	0.717615	+	0.696440i	$0.245234\pi$
$683$	−7.11649	+	21.9023i	−0.272305	+	0.838068i	−0.989920	+	0.141628i	$0.954766\pi$
$684$	11.0875	−	10.2186i	0.423942	−	0.390718i
$685$	14.9230	−	16.2000i	0.570178	−	0.618972i
$686$	4.86189	−	1.08184i	0.185628	−	0.0413049i
$687$	−0.716108	+	4.41531i	−0.0273212	+	0.168455i
$688$	−39.2910	−	32.7604i	−1.49796	−	1.24898i
$689$	−28.0222	+	38.5693i	−1.06756	+	1.46937i
$690$	−25.5285	−	20.9082i	−0.971852	−	0.795962i
$691$	−2.49404	+	1.81202i	−0.0948777	+	0.0689327i	−0.634213	−	0.773159i	$-0.718676\pi$
$691$	−2.49404	+	1.81202i	−0.0948777	+	0.0689327i	0.539335	+	0.842091i	$0.318676\pi$
$692$	−7.28817	+	37.8097i	−0.277055	+	1.43731i
$693$	−2.56138	−	0.0189937i	−0.0972988	−	0.000721512i
$694$	13.3499	+	22.6232i	0.506755	+	0.858764i
$695$	−36.3397	−	16.6763i	−1.37844	−	0.632567i
$696$	−15.2572	+	8.25707i	−0.578323	+	0.312983i
$697$	0.343147	−	0.111495i	0.0129976	−	0.00422318i
$698$	−7.83767	−	35.2232i	−0.296660	−	1.33322i
$699$	9.43403	+	9.50425i	0.356828	+	0.359484i
$700$	24.2469	−	26.7301i	0.916445	−	1.01030i
$701$	4.92479			0.186007			0.0930034	−	0.995666i	$-0.470353\pi$
$701$	4.92479			0.186007			0.0930034	+	0.995666i	$0.470353\pi$
$702$	25.0441	−	38.4285i	0.945227	−	1.45039i
$703$	−3.65075	−	11.2358i	−0.137690	−	0.423768i
$704$	−1.19800	−	1.46530i	−0.0451511	−	0.0552256i
$705$	0.0648958	+	1.73895i	0.00244412	+	0.0654926i
$706$	−20.5725	−	34.8629i	−0.774256	−	1.31208i
$707$	−16.5507			−0.622452
$708$	25.6063	−	17.1919i	0.962344	−	0.646110i
$709$	2.57114	+	3.53887i	0.0965613	+	0.132905i	0.854564	−	0.519346i	$-0.173825\pi$
$709$	2.57114	+	3.53887i	0.0965613	+	0.132905i	−0.758003	+	0.652252i	$0.773825\pi$
$710$	−16.4955	−	18.3881i	−0.619064	−	0.690093i
$711$	18.3444	+	13.5370i	0.687969	+	0.507676i
$712$	0.318659	+	11.1686i	0.0119422	+	0.418562i
$713$	52.0942	−	37.8486i	1.95094	−	1.41744i
$714$	−6.89157	−	4.41882i	−0.257911	−	0.165370i
$715$	−0.649850	−	3.23758i	−0.0243030	−	0.121079i
$716$	−30.1392	+	28.1935i	−1.12636	+	1.05364i
$717$	−28.9850	+	14.6335i	−1.08246	+	0.546498i
$718$	10.1347	−	11.4732i	0.378223	−	0.428177i
$719$	−0.988395	+	3.04197i	−0.0368609	+	0.113446i	−0.967794	−	0.251744i	$-0.918996\pi$
$719$	−0.988395	+	3.04197i	−0.0368609	+	0.113446i	0.930933	+	0.365190i	$0.118996\pi$
$720$	26.6268	−	3.31837i	0.992324	−	0.123668i
$721$	10.8443	+	33.3754i	0.403864	+	1.24296i
$722$	−16.4565	−	7.14022i	−0.612449	−	0.265732i
$723$	−5.25897	−	34.0197i	−0.195583	−	1.26521i
$724$	21.7969	−	2.71091i	0.810077	−	0.100750i
$725$	−11.5459	−	13.4236i	−0.428803	−	0.498542i
$726$	26.7620	−	1.55824i	0.993229	−	0.0578316i
$727$	−34.8786	−	25.3408i	−1.29357	−	0.939837i	−0.293703	−	0.955897i	$-0.594888\pi$
$727$	−34.8786	−	25.3408i	−1.29357	−	0.939837i	−0.999871	+	0.0160601i	$0.994888\pi$
$728$	17.9527	−	61.1332i	0.665372	−	2.26575i
$729$	25.8578	−	7.77020i	0.957695	−	0.287785i
$730$	−4.48697	+	20.9199i	−0.166070	+	0.774281i
$731$	−11.2642	−	3.65998i	−0.416623	−	0.135369i
$732$	−11.6204	−	9.11909i	−0.429504	−	0.337051i
$733$	1.45532	−	4.47901i	0.0537534	−	0.165436i	−0.920576	−	0.390564i	$-0.872280\pi$
$733$	1.45532	−	4.47901i	0.0537534	−	0.165436i	0.974329	+	0.225128i	$0.0722800\pi$
$734$	−2.49421	+	26.1172i	−0.0920628	+	0.964003i
$735$	6.37721	−	22.4427i	0.235227	−	0.827812i
$736$	−15.3254	−	30.4397i	−0.564903	−	1.12202i
$737$	−1.86710	+	1.35653i	−0.0687755	+	0.0499683i
$738$	−0.169339	+	1.64424i	−0.00623345	+	0.0605255i
$739$	27.2489	+	19.7975i	1.00237	+	0.728261i	0.962594	−	0.270948i	$-0.0873370\pi$
$739$	27.2489	+	19.7975i	1.00237	+	0.728261i	0.0397715	+	0.999209i	$0.487337\pi$
$740$	6.34331	−	20.0442i	0.233185	−	0.736840i
$741$	26.8190	+	4.34970i	0.985220	+	0.159790i
$742$	−33.5716	+	19.8105i	−1.23245	+	0.727268i
$743$			3.06530i			0.112455i	0.998418	+	0.0562274i	$0.0179072\pi$
$743$			3.06530i			0.112455i	−0.998418	+	0.0562274i	$0.982093\pi$
$744$	−6.90535	+	51.9043i	−0.253162	+	1.90290i
$745$	−46.4247	+	9.31841i	−1.70087	+	0.341400i
$746$	−10.8973	−	4.72815i	−0.398978	−	0.173110i
$747$	12.7226	−	4.02976i	0.465495	−	0.147441i
$748$	−0.383591	−	0.211845i	−0.0140255	−	0.00774581i
$749$	4.38950			0.160389
$750$	9.08818	+	25.8342i	0.331853	+	0.943331i
$751$			17.7285i			0.646923i	0.946241	+	0.323461i	$0.104847\pi$
$751$			17.7285i			0.646923i	−0.946241	+	0.323461i	$0.895153\pi$
$752$	−0.668043	+	1.66846i	−0.0243610	+	0.0608424i
$753$	−33.5788	−	17.2664i	−1.22368	−	0.629222i
$754$	−28.6768	−	12.4424i	−1.04435	−	0.453126i
$755$	−3.31587	−	16.5198i	−0.120677	−	0.601216i
$756$	31.2919	−	20.6741i	1.13807	−	0.751911i
$757$	9.83852			0.357587			0.178794	−	0.983887i	$-0.442781\pi$
$757$	9.83852			0.357587			0.178794	+	0.983887i	$0.442781\pi$
$758$	15.4506	+	26.1831i	0.561190	+	0.951012i
$759$	−2.43690	−	0.395235i	−0.0884539	−	0.0143461i
$760$	8.18212	+	13.6260i	0.296797	+	0.494266i
$761$	−28.0427	+	38.5975i	−1.01655	+	1.39916i	−0.101954	+	0.994789i	$0.532509\pi$
$761$	−28.0427	+	38.5975i	−1.01655	+	1.39916i	−0.914595	+	0.404370i	$0.867491\pi$
$762$	−10.0718	+	8.25316i	−0.364862	+	0.298980i
$763$	−3.36520	−	4.63179i	−0.121828	−	0.167682i
$764$	15.5763	−	28.2042i	0.563531	−	1.02039i
$765$	5.43742	−	3.00469i	0.196590	−	0.108635i
$766$	−25.8180	−	2.46564i	−0.932844	−	0.0890871i
$767$	52.8546	+	17.1735i	1.90847	+	0.620099i
$768$	26.5224	+	8.03503i	0.957045	+	0.289939i
$769$	0.197750	−	0.608613i	0.00713106	−	0.0219471i	−0.947428	−	0.319970i	$-0.896327\pi$
$769$	0.197750	−	0.608613i	0.00713106	−	0.0219471i	0.954559	+	0.298023i	$0.0963272\pi$
$770$	0.566228	−	2.63997i	0.0204055	−	0.0951378i
$771$	−0.999082	+	1.94297i	−0.0359811	+	0.0699742i
$772$	−3.68170	−	7.86332i	−0.132507	−	0.283007i
$773$	19.7460	−	27.1781i	0.710216	−	0.977528i	−0.289577	−	0.957155i	$-0.593515\pi$
$773$	19.7460	−	27.1781i	0.710216	−	0.977528i	0.999792	−	0.0203732i	$-0.00648543\pi$
$774$	36.2226	−	40.3990i	1.30199	−	1.45211i
$775$	−53.2617	+	4.37827i	−1.91322	+	0.157272i
$776$	−9.62717	+	14.0782i	−0.345595	+	0.505378i
$777$	−4.48928	−	29.0407i	−0.161052	−	1.04183i
$778$	37.1928	+	16.1373i	1.33343	+	0.578551i
$779$	−0.931165	+	0.302554i	−0.0333624	+	0.0108401i
$780$	34.3237	+	34.0530i	1.22898	+	1.21929i
$781$	−1.75769	−	0.571107i	−0.0628950	−	0.0204358i
$782$	−5.91354	−	5.22363i	−0.211468	−	0.186797i
$783$	−8.17082	−	16.4869i	−0.292001	−	0.589195i
$784$	15.4311	−	18.5072i	0.551110	−	0.660971i
$785$	18.1625	−	3.64560i	0.648247	−	0.130117i
$786$	13.3620	−	20.8393i	0.476607	−	0.743313i
$787$	−3.20756	−	4.41483i	−0.114337	−	0.157372i	0.748013	−	0.663684i	$-0.231008\pi$
$787$	−3.20756	−	4.41483i	−0.114337	−	0.157372i	−0.862350	+	0.506313i	$0.831008\pi$
$788$	−15.8403	+	14.8176i	−0.564287	+	0.527857i
$789$	31.7989	−	4.91566i	1.13207	−	0.175002i
$790$	−17.8886	+	16.0474i	−0.636447	+	0.570940i
$791$	−45.3352	+	32.9380i	−1.61193	+	1.17114i
$792$	1.59884	−	1.21400i	0.0568123	−	0.0431376i
$793$		−	26.6165i		−	0.945178i
$794$	8.70358	+	14.7494i	0.308879	+	0.523436i
$795$	−1.10315	−	29.5601i	−0.0391248	−	1.04839i
$796$	6.98474	+	14.9179i	0.247568	+	0.528752i
$797$	−43.7365	+	14.2109i	−1.54923	+	0.503374i	−0.953904	−	0.300112i	$-0.902976\pi$
$797$	−43.7365	+	14.2109i	−1.54923	+	0.503374i	−0.595323	+	0.803486i	$0.702976\pi$
$798$	18.7010	+	11.9909i	0.662009	+	0.424475i
$799$			0.416098i			0.0147205i
$800$	−2.25698	+	28.1941i	−0.0797962	+	0.996811i
$801$	−11.8506	−	0.0878773i	−0.418721	−	0.00310499i
$802$	−8.48674	−	38.1402i	−0.299677	−	1.34678i
$803$	0.494652	+	1.52238i	0.0174559	+	0.0537237i
$804$	11.6255	−	31.7289i	0.410000	−	1.11899i
$805$	20.2769	−	44.1860i	0.714667	−	1.55735i
$806$	−81.2575	+	47.9499i	−2.86217	+	1.68896i
$807$	25.8684	+	26.0609i	0.910611	+	0.917389i
$808$	10.2724	−	7.92058i	0.361380	−	0.278645i
$809$	−17.0689	−	23.4933i	−0.600110	−	0.825980i	0.395608	−	0.918419i	$-0.370534\pi$
$809$	−17.0689	−	23.4933i	−0.600110	−	0.825980i	−0.995718	+	0.0924389i	$0.970534\pi$
$810$	2.50261	+	28.3503i	0.0879328	+	0.996126i
$811$	−39.8175	−	28.9291i	−1.39818	−	1.01584i	−0.994911	−	0.100757i	$-0.967874\pi$
$811$	−39.8175	−	28.9291i	−1.39818	−	1.01584i	−0.403270	−	0.915081i	$-0.632126\pi$
$812$	−17.4608	−	18.6658i	−0.612753	−	0.655042i
$813$	1.20140	−	7.40747i	0.0421348	−	0.259791i
$814$	−0.341642	−	1.53537i	−0.0119745	−	0.0538146i
$815$	−9.10196	−	8.38445i	−0.318828	−	0.293695i
$816$	6.39203	−	0.555479i	0.223766	−	0.0194457i
$817$	30.5667	+	9.93173i	1.06939	+	0.347467i
$818$	−25.4243	+	28.7823i	−0.888941	+	1.00635i
$819$	64.1154	+	21.3593i	2.24037	+	0.746354i
$820$	−1.66115	−	0.525699i	−0.0580100	−	0.0183582i
$821$	−13.1666	−	40.5227i	−0.459518	−	1.41425i	−0.865748	−	0.500480i	$-0.833157\pi$
$821$	−13.1666	−	40.5227i	−0.459518	−	1.41425i	0.406230	−	0.913771i	$-0.366843\pi$
$822$	8.77725	+	22.4750i	0.306142	+	0.783905i
$823$	−21.0809	−	15.3162i	−0.734833	−	0.533887i	0.156256	−	0.987717i	$-0.450058\pi$
$823$	−21.0809	−	15.3162i	−0.734833	−	0.533887i	−0.891089	+	0.453829i	$0.850058\pi$
$824$	−22.7030	−	15.5251i	−0.790896	−	0.540843i
$825$	1.55769	+	1.33101i	0.0542320	+	0.0463399i
$826$	34.0565	+	30.0832i	1.18498	+	1.04673i
$827$	−43.4111	−	31.5400i	−1.50955	−	1.09675i	−0.966375	−	0.257135i	$-0.917221\pi$
$827$	−43.4111	−	31.5400i	−1.50955	−	1.09675i	−0.543177	−	0.839618i	$-0.682779\pi$
$828$	32.8494	−	15.0845i	1.14160	−	0.524223i
$829$	−27.8443	+	9.04717i	−0.967073	+	0.314221i	−0.749634	−	0.661853i	$-0.769770\pi$
$829$	−27.8443	+	9.04717i	−0.967073	+	0.314221i	−0.217439	+	0.976074i	$0.569770\pi$
$830$	1.44466	+	13.9930i	0.0501450	+	0.485705i
$831$	−15.7244	+	7.93867i	−0.545472	+	0.275389i
$832$	18.1137	+	46.5346i	0.627979	+	1.61330i
$833$	1.72395	−	5.30579i	0.0597315	−	0.183835i
$834$	33.8783	−	27.7610i	1.17311	−	0.961284i
$835$	6.28395	+	0.732674i	0.217465	+	0.0253552i
$836$	1.04091	+	0.574864i	0.0360008	+	0.0198821i
$837$	−54.7541	−	9.29762i	−1.89258	−	0.321373i
$838$	12.5713	+	1.20057i	0.434268	+	0.0414728i
$839$	3.82043	+	2.77570i	0.131896	+	0.0958279i	0.651777	−	0.758411i	$-0.274024\pi$
$839$	3.82043	+	2.77570i	0.131896	+	0.0958279i	−0.519881	+	0.854239i	$0.674024\pi$
$840$	14.6632	+	36.7135i	0.505928	+	1.26674i
$841$	13.3164	−	9.67491i	0.459185	−	0.333618i
$842$	−31.8633	+	18.8025i	−1.09808	+	0.647976i
$843$	−4.34266	+	4.31057i	−0.149569	+	0.148464i
$844$	−3.84263	−	0.740701i	−0.132269	−	0.0254960i
$845$	−6.72310	+	57.6623i	−0.231282	+	1.98364i
$846$	−1.74306	−	0.771695i	−0.0599278	−	0.0265314i
$847$	12.2049	+	37.5627i	0.419364	+	1.29067i
$848$	11.3560	−	28.3619i	0.389965	−	0.973951i
$849$	7.87181	−	7.81366i	0.270160	−	0.268164i
$850$	1.94124	+	6.25408i	0.0665838	+	0.214513i
$851$		−	28.3220i		−	0.970867i
$852$	26.0281	−	7.40305i	0.891708	−	0.253624i
$853$	−5.63643	−	17.3471i	−0.192988	−	0.593955i	−0.999994	−	0.00341239i	$-0.998914\pi$
$853$	−5.63643	−	17.3471i	−0.192988	−	0.593955i	0.807007	−	0.590543i	$-0.201086\pi$
$854$	8.66236	−	19.9647i	0.296420	−	0.683178i
$855$	−14.7550	+	8.15355i	−0.504611	+	0.278845i
$856$	−2.72439	+	2.10066i	−0.0931179	+	0.0717992i
$857$	37.5670			1.28326			0.641632	−	0.767013i	$-0.278258\pi$
$857$	37.5670			1.28326			0.641632	+	0.767013i	$0.278258\pi$
$858$	3.49944	+	0.915951i	0.119469	+	0.0312700i
$859$	11.4991	−	8.35459i	0.392344	−	0.285055i	−0.374071	−	0.927400i	$-0.622038\pi$
$859$	11.4991	−	8.35459i	0.392344	−	0.285055i	0.766415	+	0.642345i	$0.222038\pi$
$860$	33.9721	+	46.0128i	1.15844	+	1.56902i
$861$	−2.40673	+	0.372047i	−0.0820212	+	0.0126793i
$862$	1.72034	−	18.0140i	0.0585952	−	0.613559i
$863$	−19.1245	−	26.3226i	−0.651005	−	0.896032i	0.348137	−	0.937444i	$-0.386814\pi$
$863$	−19.1245	−	26.3226i	−0.651005	−	0.896032i	−0.999142	+	0.0414117i	$0.986814\pi$
$864$	−9.52773	+	27.8069i	−0.324140	+	0.946009i
$865$	17.9556	−	39.1275i	0.610508	−	1.33038i
$866$	−16.4489	−	1.57088i	−0.558957	−	0.0533807i
$867$	−24.9589	+	12.6008i	−0.847648	+	0.427947i
$868$	−76.5557	+	9.52132i	−2.59847	+	0.323175i
$869$	−0.555593	+	1.70994i	−0.0188472	+	0.0580057i
$870$	18.7626	−	4.91597i	0.636112	−	0.166667i
$871$	57.9090	−	18.8158i	1.96217	−	0.637548i
$872$	4.30527	+	1.26431i	0.145795	+	0.0428149i
$873$	−14.5556	−	10.7411i	−0.492634	−	0.363531i
$874$	16.0470	+	14.1749i	0.542799	+	0.479472i
$875$	−33.4312	+	22.5912i	−1.13018	+	0.763724i
$876$	−18.4383	−	14.4693i	−0.622971	−	0.488874i
$877$	−14.7191	−	10.6941i	−0.497030	−	0.361113i	0.310852	−	0.950458i	$-0.399386\pi$
$877$	−14.7191	−	10.6941i	−0.497030	−	0.361113i	−0.807881	+	0.589345i	$0.799386\pi$
$878$	−7.57725	+	17.4638i	−0.255720	+	0.589374i
$879$	−40.3837	−	20.7655i	−1.36211	−	0.700402i
$880$	0.911962	+	1.90950i	0.0307422	+	0.0643693i
$881$	−54.7579	−	17.7919i	−1.84484	−	0.599425i	−0.997679	−	0.0680866i	$-0.978311\pi$
$881$	−54.7579	−	17.7919i	−1.84484	−	0.599425i	−0.847160	−	0.531338i	$-0.821689\pi$
$882$	19.0291	+	17.0619i	0.640742	+	0.574504i
$883$	1.54720	+	0.502716i	0.0520675	+	0.0169177i	0.334935	−	0.942241i	$-0.391286\pi$
$883$	1.54720	+	0.502716i	0.0520675	+	0.0169177i	−0.282867	+	0.959159i	$0.591286\pi$
$884$	7.89792	+	8.44300i	0.265636	+	0.283969i
$885$	−32.3748	+	11.8713i	−1.08827	+	0.399051i
$886$	−44.5825	+	9.92026i	−1.49778	+	0.333278i
$887$	1.84001	+	2.53255i	0.0617814	+	0.0850347i	0.838790	−	0.544456i	$-0.183264\pi$
$887$	1.84001	+	2.53255i	0.0617814	+	0.0850347i	−0.777008	+	0.629490i	$0.783264\pi$
$888$	16.6842	+	15.8760i	0.559885	+	0.532764i
$889$	−15.5207	−	11.2765i	−0.520548	−	0.378200i
$890$	2.61974	−	12.2142i	0.0878138	−	0.409421i
$891$	1.22588	+	1.74100i	0.0410684	+	0.0583256i
$892$	−35.5807	−	6.85851i	−1.19133	−	0.229640i
$893$		−	1.12913i		−	0.0377848i
$894$	13.1341	−	50.1796i	0.439270	−	1.67826i
$895$	40.2192	−	22.6158i	1.34438	−	0.755963i
$896$	−1.55786	+	40.8002i	−0.0520444	+	1.36304i
$897$	57.9245	+	29.7851i	1.93404	+	0.994494i
$898$	−9.21109	−	41.3955i	−0.307378	−	1.38138i
$899$			37.8492i			1.26234i
$900$	−29.7990	−	3.46685i	−0.993300	−	0.115562i
$901$		−	7.07319i		−	0.235642i
$902$	−0.127243	+	0.0283134i	−0.00423672	+	0.000942733i
$903$	71.0943	+	36.5570i	2.36587	+	1.21654i
$904$	12.3748	−	42.1392i	0.411581	−	1.40153i
$905$	−24.3922	−	2.84400i	−0.810825	−	0.0945377i
$906$	17.8559	+	4.67365i	0.593224	+	0.155272i
$907$			21.3051i			0.707424i	0.935354	+	0.353712i	$0.115081\pi$
$907$			21.3051i			0.707424i	−0.935354	+	0.353712i	$0.884919\pi$
$908$	−29.2235	−	5.63310i	−0.969816	−	0.186941i
$909$	8.00413	+	11.1903i	0.265480	+	0.371159i
$910$	−35.7312	+	61.6258i	−1.18448	+	2.04287i
$911$	−10.3249	−	7.50145i	−0.342078	−	0.248534i	0.403460	−	0.914997i	$-0.367807\pi$
$911$	−10.3249	−	7.50145i	−0.342078	−	0.248534i	−0.745538	+	0.666463i	$0.767807\pi$
$912$	−17.3455	+	1.50735i	−0.574366	+	0.0499134i
$913$	0.618620	+	0.851458i	0.0204733	+	0.0281791i
$914$	−0.285131	−	1.28140i	−0.00943129	−	0.0423851i
$915$	10.1987	+	12.9895i	0.337159	+	0.429420i
$916$	3.77192	−	3.52841i	0.124628	−	0.116582i
$917$	34.6873	+	11.2706i	1.14548	+	0.372188i
$918$	0.345187	+	6.79657i	0.0113929	+	0.224320i
$919$	11.0187	+	3.58018i	0.363473	+	0.118099i	0.485059	−	0.874481i	$-0.338798\pi$
$919$	11.0187	+	3.58018i	0.363473	+	0.118099i	−0.121586	+	0.992581i	$0.538798\pi$
$920$	8.56082	+	37.1284i	0.282242	+	1.22409i
$921$	−12.3768	−	6.36422i	−0.407830	−	0.209708i
$922$	−34.8013	−	15.0997i	−1.14612	−	0.497283i
$923$	39.4478	+	28.6605i	1.29844	+	0.943371i
$924$	2.32679	+	1.82594i	0.0765459	+	0.0600691i
$925$	−12.2118	+	20.0844i	−0.401522	+	0.660370i
$926$	7.95568	−	9.00643i	0.261440	−	0.295970i
$927$	17.3215	−	23.4729i	0.568911	−	0.770952i
$928$	19.7701	+	3.22903i	0.648984	+	0.105998i
$929$	−6.82050	+	2.21612i	−0.223773	+	0.0727084i	−0.418758	−	0.908098i	$-0.637534\pi$
$929$	−6.82050	+	2.21612i	−0.223773	+	0.0727084i	0.194984	+	0.980806i	$0.437534\pi$
$930$	21.2826	−	54.5364i	0.697884	−	1.78832i
$931$	−4.67813	+	14.3978i	−0.153320	+	0.471869i
$932$	−1.90846	−	15.3449i	−0.0625138	−	0.502640i
$933$	8.42459	−	4.25327i	0.275809	−	0.139246i
$934$	3.72143	−	38.9677i	0.121769	−	1.27506i
$935$	0.360340	+	0.331934i	0.0117844	+	0.0108554i
$936$	−50.0158	+	17.4266i	−1.63482	+	0.569606i
$937$	−18.0518	−	24.8461i	−0.589726	−	0.811688i	0.404994	−	0.914320i	$-0.367274\pi$
$937$	−18.0518	−	24.8461i	−0.589726	−	0.811688i	−0.994719	+	0.102631i	$0.967274\pi$
$938$	49.5605	+	4.73306i	1.61821	+	0.154540i
$939$	7.88923	−	1.21956i	0.257455	−	0.0397990i
$940$	1.16858	−	1.63461i	0.0381148	−	0.0533152i
$941$	−3.30732	+	2.40291i	−0.107816	+	0.0783326i	−0.640387	−	0.768053i	$-0.721226\pi$
$941$	−3.30732	+	2.40291i	−0.107816	+	0.0783326i	0.532571	+	0.846385i	$0.321226\pi$
$942$	−5.13839	+	19.6315i	−0.167418	+	0.639629i
$943$	−2.34718			−0.0764346
$944$	−35.5344	−	2.37323i	−1.15655	−	0.0772421i
$945$	−39.4742	+	14.1434i	−1.28410	+	0.460086i
$946$	3.92550	+	1.70321i	0.127629	+	0.0553762i
$947$	0.348948	+	1.07395i	0.0113393	+	0.0348987i	0.956566	−	0.291516i	$-0.0941595\pi$
$947$	0.348948	+	1.07395i	0.0113393	+	0.0348987i	−0.945227	+	0.326414i	$0.894160\pi$
$948$	−7.20195	−	25.3210i	−0.233908	−	0.822389i
$949$		−	42.2326i		−	1.37093i
$950$	−5.26775	−	16.9711i	−0.170908	−	0.550616i
$951$	−2.01110	+	1.99625i	−0.0652145	+	0.0647327i
$952$	3.17636	+	8.90339i	0.102946	+	0.288561i
$953$	−5.41137	−	16.6545i	−0.175291	−	0.539492i	0.824355	−	0.566073i	$-0.191538\pi$
$953$	−5.41137	−	16.6545i	−0.175291	−	0.539492i	−0.999647	+	0.0265813i	$0.991538\pi$
$954$	29.6301	+	13.1179i	0.959310	+	0.424709i
$955$	−24.4061	+	26.4947i	−0.789763	+	0.857347i
$956$	36.8149	+	7.09640i	1.19068	+	0.229514i
$957$	1.02989	−	1.02228i	0.0332916	−	0.0330457i
$958$	11.2737	+	19.1048i	0.364237	+	0.617248i
$959$	−28.7593	+	20.8949i	−0.928687	+	0.674731i
$960$	−26.6707	−	15.7694i	−0.860794	−	0.508954i
$961$	67.3418	+	48.9267i	2.17232	+	1.57828i
$962$	−3.94521	+	41.3109i	−0.127199	+	1.33192i
$963$	−2.12282	−	2.96785i	−0.0684070	−	0.0956376i
$964$	−19.2164	+	34.7955i	−0.618920	+	1.12069i
$965$	1.91037	+	9.51755i	0.0614971	+	0.306381i
$966$	33.7550	+	41.1931i	1.08605	+	1.32537i
$967$	8.25734	−	25.4135i	0.265538	−	0.817243i	−0.726031	−	0.687662i	$-0.758637\pi$
$967$	8.25734	−	25.4135i	0.265538	−	0.817243i	0.991569	−	0.129580i	$-0.0413630\pi$
$968$	−25.5513	−	17.4729i	−0.821251	−	0.561601i
$969$	−3.59840	+	1.81670i	−0.115597	+	0.0583609i
$970$	14.1940	−	12.7330i	0.455740	−	0.408832i
$971$	−0.285186	+	0.0926627i	−0.00915207	+	0.00297369i	−0.313589	−	0.949559i	$-0.601532\pi$
$971$	−0.285186	+	0.0926627i	−0.00915207	+	0.00297369i	0.304437	+	0.952532i	$0.401532\pi$
$972$	−29.1115	−	11.1589i	−0.933752	−	0.357922i
$973$	52.2067	+	37.9304i	1.67367	+	1.21599i
$974$	14.5851	−	16.5114i	0.467337	−	0.529061i
$975$	−28.2341	−	46.0976i	−0.904216	−	1.47630i
$976$	4.17804	+	16.5368i	0.133736	+	0.529332i
$977$	−28.8217	−	20.9402i	−0.922088	−	0.669936i	0.0219549	−	0.999759i	$-0.493011\pi$
$977$	−28.8217	−	20.9402i	−0.922088	−	0.669936i	−0.944043	+	0.329823i	$0.893011\pi$
$978$	12.6275	−	4.93148i	0.403784	−	0.157691i
$979$	−0.288805	−	0.888850i	−0.00923025	−	0.0284078i
$980$	−21.6733	+	16.0019i	−0.692329	+	0.511161i
$981$	−1.50421	+	4.51529i	−0.0480259	+	0.144162i
$982$	11.7117	+	10.3454i	0.373737	+	0.330134i
$983$	5.57463	+	1.81131i	0.177803	+	0.0577717i	0.396565	−	0.918006i	$-0.370202\pi$
$983$	5.57463	+	1.81131i	0.177803	+	0.0577717i	−0.218762	+	0.975778i	$0.570202\pi$
$984$	1.31572	−	1.38269i	0.0419435	−	0.0440787i
$985$	21.1380	−	11.8862i	0.673512	−	0.378725i
$986$	4.52713	−	1.00735i	0.144173	−	0.0320806i
$987$	0.449631	−	2.77230i	0.0143119	−	0.0882431i
$988$	−21.4319	−	22.9110i	−0.681838	−	0.728895i
$989$	62.3341	+	45.2884i	1.98211	+	1.44009i
$990$	−2.05878	+	0.893884i	−0.0654324	+	0.0284095i
$991$	−11.7180	−	16.1285i	−0.372236	−	0.512338i	0.581271	−	0.813710i	$-0.302556\pi$
$991$	−11.7180	−	16.1285i	−0.372236	−	0.512338i	−0.953507	+	0.301372i	$0.902556\pi$
$992$	42.9586	−	42.5465i	1.36394	−	1.35085i
$993$	28.2760	+	28.4864i	0.897310	+	0.903989i
$994$	20.2618	+	34.3363i	0.642664	+	1.08908i
$995$	−3.62427	−	18.0563i	−0.114897	−	0.572422i
$996$	−14.4694	−	5.30161i	−0.458480	−	0.167988i
$997$	18.4272	+	56.7130i	0.583595	+	1.79612i	0.604843	+	0.796345i	$0.293236\pi$
$997$	18.4272	+	56.7130i	0.583595	+	1.79612i	−0.0212481	+	0.999774i	$0.506764\pi$
$998$	6.09569	−	1.35638i	0.192956	−	0.0429354i
$999$	−17.4640	+	17.0798i	−0.552537	+	0.540381i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	600.2.bk.a.59.9	✓	464
3.2	odd	2	inner	600.2.bk.a.59.108	yes	464
8.3	odd	2	inner	600.2.bk.a.59.55	yes	464
24.11	even	2	inner	600.2.bk.a.59.62	yes	464
25.14	even	10	inner	600.2.bk.a.539.62	yes	464
75.14	odd	10	inner	600.2.bk.a.539.55	yes	464
200.139	odd	10	inner	600.2.bk.a.539.108	yes	464
600.539	even	10	inner	600.2.bk.a.539.9	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
600.2.bk.a.59.9	✓	464	1.1	even	1	trivial
600.2.bk.a.59.55	yes	464	8.3	odd	2	inner
600.2.bk.a.59.62	yes	464	24.11	even	2	inner
600.2.bk.a.59.108	yes	464	3.2	odd	2	inner
600.2.bk.a.539.9	yes	464	600.539	even	10	inner
600.2.bk.a.539.55	yes	464	75.14	odd	10	inner
600.2.bk.a.539.62	yes	464	25.14	even	10	inner
600.2.bk.a.539.108	yes	464	200.139	odd	10	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:	\( N \)	\(=\)	\( 600 = 2^{3} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	600.bk (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.38045 + 0.307170i) q^{2} +(-0.792051 + 1.54034i) q^{3} +(1.81129 - 0.848068i) q^{4} +(-2.19234 + 0.440049i) q^{5} +(0.620240 - 2.36966i) q^{6} +3.60889 q^{7} +(-2.23990 + 1.72709i) q^{8} +(-1.74531 - 2.44006i) q^{9} +O(q^{10})\)	\(q+(-1.38045 + 0.307170i) q^{2} +(-0.792051 + 1.54034i) q^{3} +(1.81129 - 0.848068i) q^{4} +(-2.19234 + 0.440049i) q^{5} +(0.620240 - 2.36966i) q^{6} +3.60889 q^{7} +(-2.23990 + 1.72709i) q^{8} +(-1.74531 - 2.44006i) q^{9} +(2.89125 - 1.28089i) q^{10} +(0.139062 - 0.191403i) q^{11} +(-0.128321 + 3.46172i) q^{12} +(-5.04985 + 3.66893i) q^{13} +(-4.98190 + 1.10854i) q^{14} +(1.05862 - 3.72550i) q^{15} +(2.56156 - 3.07220i) q^{16} +(0.286177 - 0.880762i) q^{17} +(3.15883 + 2.83228i) q^{18} +(-0.776571 + 2.39004i) q^{19} +(-3.59778 + 2.65631i) q^{20} +(-2.85843 + 5.55893i) q^{21} +(-0.133176 + 0.306938i) q^{22} +(-3.54114 + 4.87396i) q^{23} +(-0.886198 - 4.81816i) q^{24} +(4.61271 - 1.92948i) q^{25} +(5.84409 - 6.61595i) q^{26} +(5.14090 - 0.755723i) q^{27} +(6.53676 - 3.06058i) q^{28} +(-1.09429 - 3.36788i) q^{29} +(-0.317010 + 5.46804i) q^{30} +(-10.1651 - 3.30286i) q^{31} +(-2.59242 + 5.02786i) q^{32} +(0.184682 + 0.365805i) q^{33} +(-0.124509 + 1.30375i) q^{34} +(-7.91192 + 1.58809i) q^{35} +(-5.23060 - 2.93952i) q^{36} +(-3.80328 + 2.76324i) q^{37} +(0.337869 - 3.53787i) q^{38} +(-1.65167 - 10.6845i) q^{39} +(4.15062 - 4.77204i) q^{40} +(0.229002 + 0.315195i) q^{41} +(2.23838 - 8.55185i) q^{42} -12.7892i q^{43} +(0.0895600 - 0.464621i) q^{44} +(4.90006 + 4.58142i) q^{45} +(3.39123 - 7.81600i) q^{46} +(-0.427317 + 0.138844i) q^{47} +(2.70335 + 6.37902i) q^{48} +6.02409 q^{49} +(-5.77495 + 4.08044i) q^{50} +(1.13001 + 1.13842i) q^{51} +(-6.03526 + 10.9281i) q^{52} +(7.26389 - 2.36018i) q^{53} +(-6.86463 + 2.62237i) q^{54} +(-0.220645 + 0.480815i) q^{55} +(-8.08355 + 6.23289i) q^{56} +(-3.06640 - 3.08922i) q^{57} +(2.54513 + 4.31306i) q^{58} +(-5.23328 - 7.20299i) q^{59} +(-1.24201 - 7.64575i) q^{60} +(-2.50639 + 3.44974i) q^{61} +(15.0470 + 1.43700i) q^{62} +(-6.29863 - 8.80591i) q^{63} +(2.03430 - 7.73703i) q^{64} +(9.45648 - 10.2657i) q^{65} +(-0.367308 - 0.448247i) q^{66} +(-9.27738 - 3.01440i) q^{67} +(-0.228596 - 1.83801i) q^{68} +(-4.70280 - 9.31499i) q^{69} +(10.4342 - 4.62259i) q^{70} +(-2.41394 - 7.42934i) q^{71} +(8.12353 + 2.45118i) q^{72} +(-3.97691 + 5.47374i) q^{73} +(4.40145 - 4.98278i) q^{74} +(-0.681452 + 8.63340i) q^{75} +(0.620319 + 4.98765i) q^{76} +(0.501861 - 0.690752i) q^{77} +(5.56201 + 14.2421i) q^{78} +(-7.22752 + 2.34836i) q^{79} +(-4.26390 + 7.86252i) q^{80} +(-2.90778 + 8.51732i) q^{81} +(-0.412945 - 0.364768i) q^{82} +(-1.37466 + 4.23078i) q^{83} +(-0.463097 + 12.4930i) q^{84} +(-0.239818 + 2.05686i) q^{85} +(3.92847 + 17.6549i) q^{86} +(6.05442 + 0.981950i) q^{87} +(0.0190847 + 0.668897i) q^{88} +(2.32193 - 3.19587i) q^{89} +(-8.17157 - 4.81927i) q^{90} +(-18.2244 + 13.2408i) q^{91} +(-2.28059 + 11.8313i) q^{92} +(13.1388 - 13.0418i) q^{93} +(0.547241 - 0.322926i) q^{94} +(0.650773 - 5.58151i) q^{95} +(-5.69129 - 7.97554i) q^{96} +(5.73478 - 1.86334i) q^{97} +(-8.31596 + 1.85042i) q^{98} +(-0.709742 - 0.00526304i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Introduction

L-functions

Modular forms

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