LMFDB - Embedded newform 192.2.s.a.11.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			11.13
Character	$\chi$	$=$	192.11
Dual form			192.2.s.a.35.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.300423 + 1.38194i) q^{2} +(-1.49362 - 0.876991i) q^{3} +(-1.81949 - 0.830329i) q^{4} +(-0.191752 + 0.128125i) q^{5} +(1.66066 - 1.80061i) q^{6} +(0.553671 - 1.33668i) q^{7} +(1.69408 - 2.26497i) q^{8} +(1.46177 + 2.61977i) q^{9} +O(q^{10})$	\(q+(-0.300423 + 1.38194i) q^{2} +(-1.49362 - 0.876991i) q^{3} +(-1.81949 - 0.830329i) q^{4} +(-0.191752 + 0.128125i) q^{5} +(1.66066 - 1.80061i) q^{6} +(0.553671 - 1.33668i) q^{7} +(1.69408 - 2.26497i) q^{8} +(1.46177 + 2.61977i) q^{9} +(-0.119453 - 0.303480i) q^{10} +(1.03105 - 5.18344i) q^{11} +(1.98943 + 2.83587i) q^{12} +(2.44503 - 3.65924i) q^{13} +(1.68087 + 1.16671i) q^{14} +(0.398768 - 0.0232040i) q^{15} +(2.62111 + 3.02156i) q^{16} +(-0.574015 - 0.574015i) q^{17} +(-4.05951 + 1.23304i) q^{18} +(0.483359 - 0.723398i) q^{19} +(0.455277 - 0.0739044i) q^{20} +(-1.99923 + 1.51092i) q^{21} +(6.85343 + 2.98207i) q^{22} +(-1.03636 - 2.50200i) q^{23} +(-4.51666 + 1.89731i) q^{24} +(-1.89306 + 4.57026i) q^{25} +(4.32229 + 4.47819i) q^{26} +(0.114193 - 5.19490i) q^{27} +(-2.11729 + 1.97235i) q^{28} +(-7.17171 + 1.42654i) q^{29} +(-0.0877323 + 0.558042i) q^{30} -3.36411 q^{31} +(-4.96304 + 2.71446i) q^{32} +(-6.08583 + 6.83785i) q^{33} +(0.965698 - 0.620804i) q^{34} +(0.0650940 + 0.327250i) q^{35} +(-0.484409 - 5.98041i) q^{36} +(8.83768 - 5.90515i) q^{37} +(0.854478 + 0.885297i) q^{38} +(-6.86105 + 3.32123i) q^{39} +(-0.0346442 + 0.651366i) q^{40} +(5.95812 - 2.46793i) q^{41} +(-1.48738 - 3.21672i) q^{42} +(0.0311664 - 0.156684i) q^{43} +(-6.17995 + 8.57512i) q^{44} +(-0.615955 - 0.315058i) q^{45} +(3.76895 - 0.680528i) q^{46} +(1.67622 - 1.67622i) q^{47} +(-1.26505 - 6.81173i) q^{48} +(3.46959 + 3.46959i) q^{49} +(-5.74709 - 3.98910i) q^{50} +(0.353951 + 1.36076i) q^{51} +(-7.48708 + 4.62778i) q^{52} +(-1.49024 - 0.296427i) q^{53} +(7.14471 + 1.71847i) q^{54} +(0.466420 + 1.12604i) q^{55} +(-2.08958 - 3.51849i) q^{56} +(-1.35637 + 0.656577i) q^{57} +(0.183154 - 10.3394i) q^{58} +(-2.21874 - 3.32057i) q^{59} +(-0.744822 - 0.288889i) q^{60} +(-10.5121 + 2.09099i) q^{61} +(1.01065 - 4.64898i) q^{62} +(4.31114 - 0.503429i) q^{63} +(-2.26020 - 7.67408i) q^{64} +1.01493i q^{65} +(-7.62114 - 10.4645i) q^{66} +(2.25871 + 11.3553i) q^{67} +(0.567794 + 1.52104i) q^{68} +(-0.646305 + 4.64590i) q^{69} +(-0.471794 - 0.00835745i) q^{70} +(6.75989 + 2.80004i) q^{71} +(8.41007 + 1.12723i) q^{72} +(9.86240 - 4.08514i) q^{73} +(5.50550 + 13.9871i) q^{74} +(6.83559 - 5.16601i) q^{75} +(-1.48013 + 0.914871i) q^{76} +(-6.35774 - 4.24811i) q^{77} +(-2.52851 - 10.4793i) q^{78} +(-10.2996 + 10.2996i) q^{79} +(-0.889738 - 0.243561i) q^{80} +(-4.72644 + 7.65903i) q^{81} +(1.62057 + 8.97516i) q^{82} +(6.71543 + 4.48711i) q^{83} +(4.89214 - 1.08909i) q^{84} +(0.183614 + 0.0365230i) q^{85} +(0.207164 + 0.0901413i) q^{86} +(11.9628 + 4.15882i) q^{87} +(-9.99367 - 11.1165i) q^{88} +(16.6580 + 6.89998i) q^{89} +(0.620437 - 0.756560i) q^{90} +(-3.53749 - 5.29423i) q^{91} +(-0.191830 + 5.41289i) q^{92} +(5.02468 + 2.95029i) q^{93} +(1.81286 + 2.82000i) q^{94} +0.200643i q^{95} +(9.79342 + 0.298183i) q^{96} -2.96200i q^{97} +(-5.83709 + 3.75240i) q^{98} +(15.0866 - 4.87589i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{16}\right)$

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 $

$2$	−0.300423	+	1.38194i	−0.212431	+	0.977176i
$2$	−0.300423	+	1.38194i	−0.212431	+	0.977176i
$3$	−1.49362	−	0.876991i	−0.862339	−	0.506331i
$3$	−1.49362	−	0.876991i	−0.862339	−	0.506331i
$4$	−1.81949	−	0.830329i	−0.909746	−	0.415165i
$5$	−0.191752	+	0.128125i	−0.0857541	+	0.0572990i	−0.597708	−	0.801714i	$-0.703922\pi$
$5$	−0.191752	+	0.128125i	−0.0857541	+	0.0572990i	0.511954	+	0.859013i	$0.328922\pi$
$6$	1.66066	−	1.80061i	0.677962	−	0.735097i
$7$	0.553671	−	1.33668i	0.209268	−	0.505218i	−0.784040	−	0.620710i	$-0.786845\pi$
$7$	0.553671	−	1.33668i	0.209268	−	0.505218i	0.993308	+	0.115492i	$0.0368445\pi$
$8$	1.69408	−	2.26497i	0.598947	−	0.800789i
$9$	1.46177	+	2.61977i	0.487258	+	0.873258i
$10$	−0.119453	−	0.303480i	−0.0377744	−	0.0959689i
$11$	1.03105	−	5.18344i	0.310874	−	1.56287i	−0.437270	−	0.899330i	$-0.644055\pi$
$11$	1.03105	−	5.18344i	0.310874	−	1.56287i	0.748144	−	0.663537i	$-0.230945\pi$
$12$	1.98943	+	2.83587i	0.574299	+	0.818646i
$13$	2.44503	−	3.65924i	0.678128	−	1.01489i	−0.319602	−	0.947552i	$-0.603549\pi$
$13$	2.44503	−	3.65924i	0.678128	−	1.01489i	0.997730	−	0.0673385i	$-0.0214507\pi$
$14$	1.68087	+	1.16671i	0.449232	+	0.311815i
$15$	0.398768	−	0.0232040i	0.102961	−	0.00599125i
$16$	2.62111	+	3.02156i	0.655277	+	0.755389i
$17$	−0.574015	−	0.574015i	−0.139219	−	0.139219i	0.634063	−	0.773282i	$-0.281386\pi$
$17$	−0.574015	−	0.574015i	−0.139219	−	0.139219i	−0.773282	+	0.634063i	$0.781386\pi$
$18$	−4.05951	+	1.23304i	−0.956836	+	0.290630i
$19$	0.483359	−	0.723398i	0.110890	−	0.165959i	−0.771874	−	0.635776i	$-0.780680\pi$
$19$	0.483359	−	0.723398i	0.110890	−	0.165959i	0.882764	+	0.469817i	$0.155680\pi$
$20$	0.455277	−	0.0739044i	0.101803	−	0.0165255i
$21$	−1.99923	+	1.51092i	−0.436267	+	0.329710i
$22$	6.85343	+	2.98207i	1.46116	+	0.635779i
$23$	−1.03636	−	2.50200i	−0.216096	−	0.521703i	0.778242	−	0.627965i	$-0.216112\pi$
$23$	−1.03636	−	2.50200i	−0.216096	−	0.521703i	−0.994338	+	0.106262i	$0.966112\pi$
$24$	−4.51666	+	1.89731i	−0.921960	+	0.387286i
$25$	−1.89306	+	4.57026i	−0.378613	+	0.914052i
$26$	4.32229	+	4.47819i	0.847671	+	0.878244i
$27$	0.114193	−	5.19490i	0.0219765	−	0.999758i
$28$	−2.11729	+	1.97235i	−0.400129	+	0.372739i
$29$	−7.17171	+	1.42654i	−1.33175	+	0.264902i	−0.809114	−	0.587652i	$-0.800052\pi$
$29$	−7.17171	+	1.42654i	−1.33175	+	0.264902i	−0.522639	+	0.852554i	$0.675052\pi$
$30$	−0.0877323	+	0.558042i	−0.0160177	+	0.101884i
$31$	−3.36411			−0.604212			−0.302106	−	0.953274i	$-0.597690\pi$
$31$	−3.36411			−0.604212			−0.302106	+	0.953274i	$0.597690\pi$
$32$	−4.96304	+	2.71446i	−0.877349	+	0.479853i
$33$	−6.08583	+	6.83785i	−1.05941	+	1.19032i
$34$	0.965698	−	0.620804i	0.165616	−	0.106467i
$35$	0.0650940	+	0.327250i	0.0110029	+	0.0553153i
$36$	−0.484409	−	5.98041i	−0.0807349	−	0.996736i
$37$	8.83768	−	5.90515i	1.45291	−	0.970800i	0.456184	−	0.889885i	$-0.349216\pi$
$37$	8.83768	−	5.90515i	1.45291	−	0.970800i	0.996721	−	0.0809149i	$-0.0257842\pi$
$38$	0.854478	+	0.885297i	0.138615	+	0.143614i
$39$	−6.86105	+	3.32123i	−1.09865	+	0.531822i
$40$	−0.0346442	+	0.651366i	−0.00547773	+	0.102990i
$41$	5.95812	−	2.46793i	0.930502	−	0.385426i	0.134633	−	0.990896i	$-0.457014\pi$
$41$	5.95812	−	2.46793i	0.930502	−	0.385426i	0.795869	+	0.605469i	$0.207014\pi$
$42$	−1.48738	−	3.21672i	−0.229508	−	0.496351i
$43$	0.0311664	−	0.156684i	0.00475283	−	0.0238941i	−0.978336	−	0.207023i	$-0.933623\pi$
$43$	0.0311664	−	0.156684i	0.00475283	−	0.0238941i	0.983089	+	0.183129i	$0.0586225\pi$
$44$	−6.17995	+	8.57512i	−0.931663	+	1.29275i
$45$	−0.615955	−	0.315058i	−0.0918212	−	0.0469661i
$46$	3.76895	−	0.680528i	0.555701	−	0.100338i
$47$	1.67622	−	1.67622i	0.244502	−	0.244502i	−0.574208	−	0.818710i	$-0.694690\pi$
$47$	1.67622	−	1.67622i	0.244502	−	0.244502i	0.818710	+	0.574208i	$0.194690\pi$
$48$	−1.26505	−	6.81173i	−0.182594	−	0.983188i
$49$	3.46959	+	3.46959i	0.495655	+	0.495655i
$50$	−5.74709	−	3.98910i	−0.812761	−	0.564144i
$51$	0.353951	+	1.36076i	0.0495631	+	0.190545i
$52$	−7.48708	+	4.62778i	−1.03827	+	0.641758i
$53$	−1.49024	−	0.296427i	−0.204700	−	0.0407174i	0.0916751	−	0.995789i	$-0.470778\pi$
$53$	−1.49024	−	0.296427i	−0.204700	−	0.0407174i	−0.296375	+	0.955072i	$0.595778\pi$
$54$	7.14471	+	1.71847i	0.972272	+	0.233854i
$55$	0.466420	+	1.12604i	0.0628921	+	0.151835i
$56$	−2.08958	−	3.51849i	−0.279232	−	0.470178i
$57$	−1.35637	+	0.656577i	−0.179655	+	0.0869657i
$58$	0.183154	−	10.3394i	0.0240493	−	1.35763i
$59$	−2.21874	−	3.32057i	−0.288855	−	0.432302i	0.658455	−	0.752620i	$-0.271210\pi$
$59$	−2.21874	−	3.32057i	−0.288855	−	0.432302i	−0.947310	+	0.320318i	$0.896210\pi$
$60$	−0.744822	−	0.288889i	−0.0961561	−	0.0372954i
$61$	−10.5121	+	2.09099i	−1.34594	+	0.267724i	−0.814890	−	0.579616i	$-0.803203\pi$
$61$	−10.5121	+	2.09099i	−1.34594	+	0.267724i	−0.531051	+	0.847340i	$0.678203\pi$
$62$	1.01065	−	4.64898i	0.128353	−	0.590421i
$63$	4.31114	−	0.503429i	0.543153	−	0.0634261i
$64$	−2.26020	−	7.67408i	−0.282525	−	0.959260i
$65$			1.01493i			0.125887i
$66$	−7.62114	−	10.4645i	−0.938098	−	1.28809i
$67$	2.25871	+	11.3553i	0.275945	+	1.38727i	0.831377	+	0.555708i	$0.187553\pi$
$67$	2.25871	+	11.3553i	0.275945	+	1.38727i	−0.555432	+	0.831562i	$0.687447\pi$
$68$	0.567794	+	1.52104i	0.0688552	+	0.184453i
$69$	−0.646305	+	4.64590i	−0.0778060	+	0.559301i
$70$	−0.471794	−	0.00835745i	−0.0563902	−	0.000998906i
$71$	6.75989	+	2.80004i	0.802252	+	0.332304i	0.745858	−	0.666105i	$-0.232040\pi$
$71$	6.75989	+	2.80004i	0.802252	+	0.332304i	0.0563938	+	0.998409i	$0.482040\pi$
$72$	8.41007	+	1.12723i	0.991137	+	0.132845i
$73$	9.86240	−	4.08514i	1.15431	−	0.478130i	0.278331	−	0.960485i	$-0.410219\pi$
$73$	9.86240	−	4.08514i	1.15431	−	0.478130i	0.875976	+	0.482355i	$0.160219\pi$
$74$	5.50550	+	13.9871i	0.640001	+	1.62597i
$75$	6.83559	−	5.16601i	0.789306	−	0.596520i
$76$	−1.48013	+	0.914871i	−0.169782	+	0.104943i
$77$	−6.35774	−	4.24811i	−0.724532	−	0.484117i
$78$	−2.52851	−	10.4793i	−0.286298	−	1.18655i
$79$	−10.2996	+	10.2996i	−1.15879	+	1.15879i	−0.174054	+	0.984736i	$0.555687\pi$
$79$	−10.2996	+	10.2996i	−1.15879	+	1.15879i	−0.984736	+	0.174054i	$0.944313\pi$
$80$	−0.889738	−	0.243561i	−0.0994757	−	0.0272310i
$81$	−4.72644	+	7.65903i	−0.525160	+	0.851003i
$82$	1.62057	+	8.97516i	0.178962	+	0.991140i
$83$	6.71543	+	4.48711i	0.737114	+	0.492524i	0.866566	−	0.499062i	$-0.166322\pi$
$83$	6.71543	+	4.48711i	0.737114	+	0.492524i	−0.129452	+	0.991586i	$0.541322\pi$
$84$	4.89214	−	1.08909i	0.533777	−	0.118830i
$85$	0.183614	+	0.0365230i	0.0199157	+	0.00396148i
$86$	0.207164	+	0.0901413i	0.0223391	+	0.00972018i
$87$	11.9628	+	4.15882i	1.28255	+	0.445872i
$88$	−9.99367	−	11.1165i	−1.06533	−	1.18502i
$89$	16.6580	+	6.89998i	1.76575	+	0.731396i	0.995619	+	0.0935081i	$0.0298081\pi$
$89$	16.6580	+	6.89998i	1.76575	+	0.731396i	0.770129	+	0.637888i	$0.220192\pi$
$90$	0.620437	−	0.756560i	0.0653998	−	0.0797484i
$91$	−3.53749	−	5.29423i	−0.370830	−	0.554986i
$92$	−0.191830	+	5.41289i	−0.0199997	+	0.564333i
$93$	5.02468	+	2.95029i	0.521035	+	0.305931i
$94$	1.81286	+	2.82000i	0.186982	+	0.290861i
$95$			0.200643i			0.0205856i
$96$	9.79342	+	0.298183i	0.999537	+	0.0304332i
$97$		−	2.96200i		−	0.300746i	−0.988629	−	0.150373i	$-0.951953\pi$
$97$		−	2.96200i		−	0.300746i	0.988629	−	0.150373i	$-0.0480474\pi$
$98$	−5.83709	+	3.75240i	−0.589635	+	0.379050i
$99$	15.0866	−	4.87589i	1.51626	−	0.490046i
$100$	7.23924	−	6.74369i	0.723924	−	0.674369i
$101$	−0.485948	−	0.727273i	−0.0483536	−	0.0723663i	0.806505	−	0.591227i	$-0.201356\pi$
$101$	−0.485948	−	0.727273i	−0.0483536	−	0.0723663i	−0.854859	+	0.518861i	$0.826356\pi$
$102$	−1.98682	+	0.0803340i	−0.196725	+	0.00795425i
$103$	−13.2301	−	5.48007i	−1.30360	−	0.539967i	−0.380587	−	0.924745i	$-0.624278\pi$
$103$	−13.2301	−	5.48007i	−1.30360	−	0.539967i	−0.923009	+	0.384778i	$0.874278\pi$
$104$	−4.14601	−	11.7370i	−0.406550	−	1.15090i
$105$	0.189770	−	0.545872i	0.0185196	−	0.0532717i
$106$	0.857345	−	1.97036i	0.0832727	−	0.191378i
$107$	9.65582	+	1.92066i	0.933463	+	0.185677i	0.638316	−	0.769774i	$-0.279631\pi$
$107$	9.65582	+	1.92066i	0.933463	+	0.185677i	0.295147	+	0.955452i	$0.404631\pi$
$108$	−4.52125	+	9.35726i	−0.435057	+	0.900403i
$109$	−1.89496	−	1.26617i	−0.181504	−	0.121277i	0.461499	−	0.887141i	$-0.347312\pi$
$109$	−1.89496	−	1.26617i	−0.181504	−	0.121277i	−0.643003	+	0.765863i	$0.722312\pi$
$110$	−1.69624	+	0.306276i	−0.161730	+	0.0292022i
$111$	−18.3789	+	1.06945i	−1.74444	+	0.101508i
$112$	5.49008	−	1.83063i	0.518764	−	0.172979i
$113$	5.56945	−	5.56945i	0.523930	−	0.523930i	−0.394826	−	0.918756i	$-0.629195\pi$
$113$	5.56945	−	5.56945i	0.523930	−	0.523930i	0.918756	+	0.394826i	$0.129195\pi$
$114$	−0.499864	−	2.07166i	−0.0468165	−	0.194029i
$115$	0.519292	+	0.346980i	0.0484242	+	0.0323560i
$116$	14.2334	+	3.35930i	1.32153	+	0.311903i
$117$	13.1605	+	1.05644i	1.21668	+	0.0976679i
$118$	5.25538	−	2.06858i	0.483797	−	0.190428i
$119$	−1.08509	+	0.449459i	−0.0994700	+	0.0412018i
$120$	0.622987	−	0.942507i	0.0568707	−	0.0860387i
$121$	−15.6423	−	6.47927i	−1.42203	−	0.589024i
$122$	0.268463	−	15.1553i	0.0243055	−	1.37209i
$123$	−11.0635	−	1.53907i	−0.997561	−	0.138774i
$124$	6.12097	+	2.79332i	0.549679	+	0.250847i
$125$	−0.447521	−	2.24984i	−0.0400275	−	0.201232i
$126$	−0.599458	+	6.10896i	−0.0534039	+	0.544230i
$127$			11.9596i			1.06125i	0.847608	+	0.530623i	$0.178042\pi$
$127$			11.9596i			1.06125i	−0.847608	+	0.530623i	$0.821958\pi$
$128$	11.2841	−	0.817982i	0.997383	−	0.0723001i
$129$	−0.183961	+	0.206693i	−0.0161969	+	0.0181983i
$130$	−1.40257	−	0.304909i	−0.123014	−	0.0267423i
$131$	−13.0740	+	2.60057i	−1.14228	+	0.227213i	−0.729738	−	0.683726i	$-0.760358\pi$
$131$	−13.0740	+	2.60057i	−1.14228	+	0.227213i	−0.412540	+	0.910940i	$0.635358\pi$
$132$	16.7508	−	7.38817i	1.45797	−	0.643058i
$133$	−0.699330	−	1.04662i	−0.0606396	−	0.0907536i
$134$	−16.3709	−	0.289996i	−1.41423	−	0.0250519i
$135$	0.643697	+	1.01076i	0.0554006	+	0.0869926i
$136$	−2.27255	+	0.327702i	−0.194870	+	0.0281002i
$137$	−3.44719	−	8.32224i	−0.294513	−	0.711017i	−0.999997	−	0.00229181i	$-0.999270\pi$
$137$	−3.44719	−	8.32224i	−0.294513	−	0.711017i	0.705484	−	0.708725i	$-0.250730\pi$
$138$	−6.22617	−	2.28889i	−0.530007	−	0.194843i
$139$	14.3912	+	2.86258i	1.22064	+	0.242801i	0.763037	−	0.646355i	$-0.223708\pi$
$139$	14.3912	+	2.86258i	1.22064	+	0.242801i	0.457605	+	0.889156i	$0.348708\pi$
$140$	0.153287	−	0.649478i	0.0129551	−	0.0548909i
$141$	−3.97366	+	1.03360i	−0.334643	+	0.0870447i
$142$	−5.90030	+	8.50054i	−0.495142	+	0.713350i
$143$	−16.4465	−	16.4465i	−1.37533	−	1.37533i
$144$	−4.08433	+	11.2835i	−0.340361	+	0.940295i
$145$	1.19241	−	1.19241i	0.0990246	−	0.0990246i
$146$	2.68251	+	14.8565i	0.222006	+	1.22953i
$147$	−2.13943	−	8.22502i	−0.176457	−	0.678388i
$148$	−20.9833	+	3.40619i	−1.72482	+	0.279987i
$149$	−2.55805	+	12.8602i	−0.209564	+	1.05355i	0.722532	+	0.691338i	$0.242978\pi$
$149$	−2.55805	+	12.8602i	−0.209564	+	1.05355i	−0.932096	+	0.362212i	$0.882022\pi$
$150$	5.08553	+	10.9983i	0.415232	+	0.898010i
$151$	10.5364	−	4.36431i	0.857438	−	0.355163i	0.0897332	−	0.995966i	$-0.471399\pi$
$151$	10.5364	−	4.36431i	0.857438	−	0.355163i	0.767705	+	0.640803i	$0.221399\pi$
$152$	−0.819629	−	2.32029i	−0.0664807	−	0.188200i
$153$	0.664710	−	2.34287i	0.0537386	−	0.189410i
$154$	7.78062	−	7.50976i	0.626980	−	0.605154i
$155$	0.645074	−	0.431025i	0.0518136	−	0.0346208i
$156$	15.2413	−	0.346024i	1.22028	−	0.0277041i
$157$	−2.91847	−	14.6722i	−0.232919	−	1.17097i	−0.903320	−	0.428966i	$-0.858878\pi$
$157$	−2.91847	−	14.6722i	−0.232919	−	1.17097i	0.670401	−	0.741999i	$-0.266122\pi$
$158$	−11.1391	−	17.3275i	−0.886179	−	1.37850i
$159$	1.96588	+	1.74967i	0.155904	+	0.138758i
$160$	0.603883	−	1.15639i	0.0477411	−	0.0914206i
$161$	−3.91817			−0.308795
$162$	−9.16436	−	8.83258i	−0.720020	−	0.693953i
$163$	4.99614	−	0.993794i	0.391328	−	0.0778400i	0.00449531	−	0.999990i	$-0.498569\pi$
$163$	4.99614	−	0.993794i	0.391328	−	0.0778400i	0.386833	+	0.922150i	$0.373569\pi$
$164$	−12.8899	−	0.456813i	−1.00654	−	0.0356711i
$165$	0.290873	−	2.09091i	0.0226444	−	0.162777i
$166$	−8.21836	+	7.93226i	−0.637868	+	0.615663i
$167$	−1.98334	+	4.78821i	−0.153476	+	0.370523i	−0.981852	−	0.189649i	$-0.939265\pi$
$167$	−1.98334	+	4.78821i	−0.153476	+	0.370523i	0.828376	+	0.560172i	$0.189265\pi$
$168$	0.0353454	+	7.08782i	0.00272696	+	0.546837i
$169$	−2.43700	−	5.88343i	−0.187461	−	0.452572i
$170$	−0.105634	+	0.242770i	−0.00810177	+	0.0186196i
$171$	2.60170	+	0.208849i	0.198957	+	0.0159710i
$172$	−0.186806	+	0.259207i	−0.0142438	+	0.0197643i
$173$	12.1977	−	18.2551i	0.927370	−	1.38791i	0.00567889	−	0.999984i	$-0.498192\pi$
$173$	12.1977	−	18.2551i	0.927370	−	1.38791i	0.921691	−	0.387924i	$-0.126808\pi$
$174$	−9.34113	+	15.2825i	−0.708149	+	1.15856i
$175$	5.06084	+	5.06084i	0.382564	+	0.382564i
$176$	18.3646	−	10.4710i	1.38428	−	0.789280i
$177$	0.401824	+	6.90547i	0.0302030	+	0.519047i
$178$	−14.5398	+	20.9474i	−1.08980	+	1.57007i
$179$	−13.1825	+	19.7290i	−0.985305	+	1.47461i	−0.108307	+	0.994117i	$0.534543\pi$
$179$	−13.1825	+	19.7290i	−0.985305	+	1.47461i	−0.876997	+	0.480495i	$0.840457\pi$
$180$	0.859124	+	1.08469i	0.0640353	+	0.0808481i
$181$	−1.57644	+	7.92529i	−0.117176	+	0.589082i	0.876925	+	0.480626i	$0.159591\pi$
$181$	−1.57644	+	7.92529i	−0.117176	+	0.589082i	−0.994101	+	0.108456i	$0.965409\pi$
$182$	8.37903	−	3.29808i	0.621095	−	0.244470i
$183$	17.5349	+	6.09591i	1.29621	+	0.450622i
$184$	−7.42263	−	1.89125i	−0.547204	−	0.139425i
$185$	−0.938047	+	2.26465i	−0.0689666	+	0.166500i
$186$	−5.58664	+	6.05746i	−0.409633	+	0.444154i
$187$	−3.56721	+	2.38353i	−0.260860	+	0.174301i
$188$	−4.44169	+	1.65806i	−0.323943	+	0.120926i
$189$	−6.88069	−	3.02890i	−0.500497	−	0.220320i
$190$	−0.277276	−	0.0602777i	−0.0201157	−	0.00437301i
$191$	−5.46792			−0.395645			−0.197822	−	0.980238i	$-0.563387\pi$
$191$	−5.46792			−0.395645			−0.197822	+	0.980238i	$0.563387\pi$
$192$	−3.35423	+	13.4443i	−0.242071	+	0.970259i
$193$	0.333854			0.0240314			0.0120157	−	0.999928i	$-0.496175\pi$
$193$	0.333854			0.0240314			0.0120157	+	0.999928i	$0.496175\pi$
$194$	4.09329	+	0.889852i	0.293881	+	0.0638876i
$195$	0.890088	−	1.51592i	0.0637405	−	0.108557i
$196$	−3.43199	−	9.19378i	−0.245142	−	0.656699i
$197$	−15.0151	+	10.0328i	−1.06978	+	0.714804i	−0.960239	−	0.279178i	$-0.909938\pi$
$197$	−15.0151	+	10.0328i	−1.06978	+	0.714804i	−0.109541	+	0.993982i	$0.534938\pi$
$198$	2.20581	+	22.3136i	0.156760	+	1.58576i
$199$	2.68205	−	6.47503i	0.190125	−	0.459003i	−0.799858	−	0.600190i	$-0.795092\pi$
$199$	2.68205	−	6.47503i	0.190125	−	0.459003i	0.989983	+	0.141187i	$0.0450918\pi$
$200$	7.14452	+	12.0301i	0.505194	+	0.850658i
$201$	6.58485	−	18.9413i	0.464460	−	1.33602i
$202$	1.15103	−	0.453060i	0.0809864	−	0.0318772i
$203$	−2.06394	+	10.3761i	−0.144860	+	0.728260i
$204$	0.485870	−	2.76979i	0.0340177	−	0.193924i
$205$	−0.826278	+	1.23661i	−0.0577097	+	0.0863687i
$206$	11.5477	−	16.6367i	0.804567	−	1.15914i
$207$	5.03975	−	6.37239i	0.350287	−	0.442911i
$208$	17.4653	−	2.20348i	1.21100	−	0.152784i
$209$	−3.25133	−	3.25133i	−0.224899	−	0.224899i
$210$	0.697349	+	0.426242i	0.0481217	+	0.0294135i
$211$	−14.0328	+	21.0015i	−0.966055	+	1.44580i	−0.0722302	+	0.997388i	$0.523012\pi$
$211$	−14.0328	+	21.0015i	−0.966055	+	1.44580i	−0.893825	+	0.448416i	$0.851988\pi$
$212$	2.46535	+	1.77674i	0.169321	+	0.122027i
$213$	−7.64107	−	10.1105i	−0.523557	−	0.692763i
$214$	−5.55506	+	12.7667i	−0.379736	+	0.872714i
$215$	0.0140988	+	0.0340376i	0.000961533	+	0.00232135i
$216$	−11.5728	−	9.05921i	−0.787432	−	0.616401i
$217$	−1.86261	+	4.49674i	−0.126442	+	0.305258i
$218$	2.31906	−	2.23833i	0.157067	−	0.151599i
$219$	−18.3133	−	2.54761i	−1.23750	−	0.172152i
$220$	0.0863341	−	2.43610i	0.00582065	−	0.164242i
$221$	−3.50394	+	0.696976i	−0.235700	+	0.0468837i
$222$	4.04351	−	25.7197i	0.271382	−	1.72619i
$223$	6.75319			0.452227			0.226114	−	0.974101i	$-0.427398\pi$
$223$	6.75319			0.452227			0.226114	+	0.974101i	$0.427398\pi$
$224$	0.880473	+	8.13691i	0.0588290	+	0.543670i
$225$	−14.7403	+	1.72128i	−0.982686	+	0.114752i
$226$	6.02343	+	9.36981i	0.400673	+	0.623271i
$227$	−2.87228	−	14.4399i	−0.190640	−	0.958413i	−0.951066	−	0.308988i	$-0.900010\pi$
$227$	−2.87228	−	14.4399i	−0.190640	−	0.958413i	0.760426	−	0.649425i	$-0.224990\pi$
$228$	3.01307	−	0.0684058i	0.199546	−	0.00453028i
$229$	18.5328	−	12.3832i	1.22468	−	0.818305i	0.236505	−	0.971630i	$-0.423998\pi$
$229$	18.5328	−	12.3832i	1.22468	−	0.818305i	0.988176	+	0.153325i	$0.0489981\pi$
$230$	−0.635510	+	0.613387i	−0.0419043	+	0.0404456i
$231$	5.77047	+	11.9207i	0.379669	+	0.784326i
$232$	−8.91836	+	18.6604i	−0.585519	+	1.22511i
$233$	14.5009	−	6.00647i	0.949985	−	0.393497i	0.146760	−	0.989172i	$-0.453116\pi$
$233$	14.5009	−	6.00647i	0.949985	−	0.393497i	0.803225	+	0.595675i	$0.203116\pi$
$234$	−5.41363	+	17.8695i	−0.353900	+	1.16817i
$235$	−0.106654	+	0.536184i	−0.00695731	+	0.0349768i
$236$	1.27981	+	7.88404i	0.0833082	+	0.513207i
$237$	24.4162	−	6.35095i	1.58600	−	0.412539i
$238$	−0.295138	−	1.63455i	−0.0191309	−	0.105952i
$239$	−2.34886	+	2.34886i	−0.151935	+	0.151935i	−0.778982	−	0.627047i	$-0.784264\pi$
$239$	−2.34886	+	2.34886i	−0.151935	+	0.151935i	0.627047	+	0.778982i	$0.284264\pi$
$240$	1.11532	+	1.14408i	0.0719939	+	0.0738500i
$241$	0.738265	+	0.738265i	0.0475558	+	0.0475558i	0.730485	−	0.682929i	$-0.239294\pi$
$241$	0.738265	+	0.738265i	0.0475558	+	0.0475558i	−0.682929	+	0.730485i	$0.739294\pi$
$242$	13.6532	−	19.6702i	0.877664	−	1.26445i
$243$	13.7764	−	7.29460i	0.883756	−	0.467949i
$244$	20.8630	+	4.92398i	1.33561	+	0.315226i
$245$	−1.10984	−	0.220761i	−0.0709050	−	0.0141039i
$246$	5.45062	−	14.8267i	0.347519	−	0.945313i
$247$	−1.46526	−	3.53745i	−0.0932324	−	0.225083i
$248$	−5.69906	+	7.61961i	−0.361891	+	0.483846i
$249$	−6.09511	−	12.5914i	−0.386262	−	0.797947i
$250$	3.24358	+	0.0574573i	0.205142	+	0.00363392i
$251$	16.4751	+	24.6567i	1.03990	+	1.55632i	0.812885	+	0.582425i	$0.197896\pi$
$251$	16.4751	+	24.6567i	1.03990	+	1.55632i	0.227013	+	0.973892i	$0.427104\pi$
$252$	−8.26210	−	2.66368i	−0.520464	−	0.167796i
$253$	−14.0375	+	2.79223i	−0.882530	+	0.175546i
$254$	−16.5275	−	3.59295i	−1.03702	−	0.225441i
$255$	−0.242218	−	0.215579i	−0.0151683	−	0.0135001i
$256$	−2.25960	+	15.8396i	−0.141225	+	0.989978i
$257$			20.1401i			1.25631i	0.778090	+	0.628153i	$0.216189\pi$
$257$			20.1401i			1.25631i	−0.778090	+	0.628153i	$0.783811\pi$
$258$	−0.230370	−	0.316317i	−0.0143422	−	0.0196931i
$259$	−3.00013	−	15.0827i	−0.186419	−	0.937191i
$260$	0.842729	−	1.84666i	0.0522639	−	0.114525i
$261$	−14.2206	−	16.7030i	−0.880234	−	1.03389i
$262$	0.333889	−	18.8487i	0.0206277	−	1.16447i
$263$	9.10331	+	3.77072i	0.561334	+	0.232512i	0.645264	−	0.763959i	$-0.276747\pi$
$263$	9.10331	+	3.77072i	0.561334	+	0.232512i	−0.0839301	+	0.996472i	$0.526747\pi$
$264$	5.17767	+	25.3681i	0.318663	+	1.56130i
$265$	0.323736	−	0.134096i	0.0198869	−	0.00823744i
$266$	1.65646	−	0.652001i	0.101564	−	0.0399767i
$267$	−18.8295	−	24.9149i	−1.15234	−	1.52476i
$268$	5.31893	−	22.5363i	0.324905	−	1.37663i
$269$	−0.715328	−	0.477967i	−0.0436143	−	0.0291421i	0.533572	−	0.845755i	$-0.320849\pi$
$269$	−0.715328	−	0.477967i	−0.0436143	−	0.0291421i	−0.577186	+	0.816613i	$0.695849\pi$
$270$	−1.59019	+	0.585892i	−0.0967759	+	0.0356563i
$271$	19.9786	−	19.9786i	1.21361	−	1.21361i	0.243784	−	0.969830i	$-0.421611\pi$
$271$	19.9786	−	19.9786i	1.21361	−	1.21361i	0.969830	−	0.243784i	$-0.0783887\pi$
$272$	0.229864	−	3.23897i	0.0139375	−	0.196391i
$273$	0.640658	+	11.0099i	0.0387744	+	0.666349i
$274$	12.5364	−	2.26360i	0.757353	−	0.136749i
$275$	21.7378	+	14.5248i	1.31084	+	0.875876i
$276$	5.03358	−	7.91654i	0.302986	−	0.476520i
$277$	14.0327	+	2.79128i	0.843143	+	0.167712i	0.597721	−	0.801704i	$-0.296073\pi$
$277$	14.0327	+	2.79128i	0.843143	+	0.167712i	0.245423	+	0.969416i	$0.421073\pi$
$278$	−8.27932	+	19.0277i	−0.496561	+	1.14120i
$279$	−4.91756	−	8.81321i	−0.294407	−	0.527633i
$280$	0.851486	+	0.406951i	0.0508860	+	0.0243200i
$281$	−12.1273	−	5.02329i	−0.723453	−	0.299664i	−0.00959451	−	0.999954i	$-0.503054\pi$
$281$	−12.1273	−	5.02329i	−0.723453	−	0.299664i	−0.713859	+	0.700290i	$0.753054\pi$
$282$	−0.234589	−	5.80186i	−0.0139696	−	0.345496i
$283$	−9.79102	−	14.6533i	−0.582016	−	0.871048i	0.417272	−	0.908782i	$-0.362986\pi$
$283$	−9.79102	−	14.6533i	−0.582016	−	0.871048i	−0.999288	+	0.0377334i	$0.987986\pi$
$284$	−9.97462	−	10.7076i	−0.591885	−	0.635379i
$285$	0.175962	−	0.299684i	0.0104231	−	0.0177517i
$286$	27.6689	−	17.7871i	1.63610	−	1.05177i
$287$		−	9.33052i		−	0.550763i
$288$	−14.3661	−	9.03412i	−0.846530	−	0.532340i
$289$		−	16.3410i		−	0.961236i
$290$	1.28961	+	2.00607i	0.0757286	+	0.117800i
$291$	−2.59765	+	4.42409i	−0.152277	+	0.259345i
$292$	−21.3366	−	0.756158i	−1.24863	−	0.0442508i
$293$	−2.44289	−	3.65604i	−0.142715	−	0.213588i	0.753225	−	0.657763i	$-0.228497\pi$
$293$	−2.44289	−	3.65604i	−0.142715	−	0.213588i	−0.895940	+	0.444175i	$0.853497\pi$
$294$	12.0092	−	0.485572i	0.700390	−	0.0283192i
$295$	0.850894	+	0.352452i	0.0495410	+	0.0205205i
$296$	1.59672	−	30.0209i	0.0928076	−	1.74493i
$297$	−26.8097	−	5.94812i	−1.55566	−	0.345145i
$298$	−17.0035	−	7.39856i	−0.984985	−	0.428587i
$299$	−11.6893	−	2.32515i	−0.676012	−	0.134467i
$300$	−16.7268	+	3.72373i	−0.965722	+	0.214990i
$301$	−0.192180	−	0.128411i	−0.0110771	−	0.00740147i
$302$	2.86583	+	15.8717i	0.164910	+	0.913316i
$303$	0.0880077	+	1.51244i	0.00505591	+	0.0868873i
$304$	3.45272	−	0.435607i	0.198027	−	0.0249838i
$305$	1.74781	−	1.74781i	0.100080	−	0.100080i
$306$	3.03800	+	1.62244i	0.173671	+	0.0927485i
$307$	−9.38360	−	6.26992i	−0.535550	−	0.357843i	0.258196	−	0.966093i	$-0.416872\pi$
$307$	−9.38360	−	6.26992i	−0.535550	−	0.357843i	−0.793746	+	0.608249i	$0.791872\pi$
$308$	8.04054	+	13.0084i	0.458152	+	0.741224i
$309$	14.9546	+	19.7878i	0.850740	+	1.12569i
$310$	0.401854	+	1.02094i	0.0228238	+	0.0579855i
$311$	14.4653	−	5.99173i	0.820252	−	0.339760i	0.0672160	−	0.997738i	$-0.478588\pi$
$311$	14.4653	−	5.99173i	0.820252	−	0.339760i	0.753036	+	0.657979i	$0.228588\pi$
$312$	−4.10066	+	21.1665i	−0.232154	+	1.19832i
$313$	9.94014	+	4.11734i	0.561850	+	0.232726i	0.645488	−	0.763770i	$-0.276654\pi$
$313$	9.94014	+	4.11734i	0.561850	+	0.232726i	−0.0836383	+	0.996496i	$0.526654\pi$
$314$	21.1527	+	0.374704i	1.19372	+	0.0211458i
$315$	−0.762168	+	0.648897i	−0.0429433	+	0.0365612i
$316$	27.2920	−	10.1879i	1.53529	−	0.573116i
$317$	5.22307	+	26.2581i	0.293357	+	1.47480i	0.793345	+	0.608772i	$0.208338\pi$
$317$	5.22307	+	26.2581i	0.293357	+	1.47480i	−0.499989	+	0.866032i	$0.666662\pi$
$318$	−3.00853	+	2.19108i	−0.168710	+	0.122870i
$319$			38.6450i			2.16370i
$320$	1.41664	+	1.18193i	0.0791923	+	0.0660720i
$321$	−12.7377	−	11.3368i	−0.710948	−	0.632758i
$322$	1.17711	−	5.41467i	0.0655977	−	0.301747i
$323$	−0.692696	+	0.137786i	−0.0385427	+	0.00766661i
$324$	14.9592	−	10.0110i	0.831069	−	0.556169i
$325$	12.0951	+	18.1016i	0.670915	+	1.00409i
$326$	−0.127594	+	7.20290i	−0.00706675	+	0.398932i
$327$	1.71992	+	3.55304i	0.0951119	+	0.196484i
$328$	4.50372	−	17.6758i	0.248676	−	0.975985i
$329$	−1.31250	−	3.16865i	−0.0723603	−	0.174693i
$330$	2.80212	+	1.03013i	0.154252	+	0.0567065i
$331$	−5.35518	−	1.06521i	−0.294348	−	0.0585494i	0.0457076	−	0.998955i	$-0.485446\pi$
$331$	−5.35518	−	1.06521i	−0.294348	−	0.0585494i	−0.340055	+	0.940405i	$0.610446\pi$
$332$	−8.49290	−	13.7403i	−0.466108	−	0.754096i
$333$	28.3888	+	14.5207i	1.55570	+	0.795732i
$334$	−6.02116	−	4.17934i	−0.329463	−	0.228683i
$335$	−1.88800	−	1.88800i	−0.103153	−	0.103153i
$336$	−9.80552	−	2.08049i	−0.534935	−	0.113500i
$337$	−0.219844	+	0.219844i	−0.0119757	+	0.0119757i	−0.713069	−	0.701094i	$-0.752696\pi$
$337$	−0.219844	+	0.219844i	−0.0119757	+	0.0119757i	0.701094	+	0.713069i	$0.252696\pi$
$338$	8.86265	−	1.60026i	0.482065	−	0.0870426i
$339$	−13.2030	+	3.43426i	−0.717087	+	0.186523i
$340$	−0.303758	−	0.218913i	−0.0164736	−	0.0118722i
$341$	−3.46857	+	17.4377i	−0.187833	+	0.944303i
$342$	−1.07023	+	3.53264i	−0.0578712	+	0.191023i
$343$	15.9155	−	6.59241i	0.859356	−	0.355957i
$344$	−0.302086	−	0.336026i	−0.0162874	−	0.0181173i
$345$	−0.471324	−	0.973668i	−0.0253752	−	0.0524205i
$346$	21.5629	+	22.3406i	1.15923	+	1.20104i
$347$	−9.20349	+	6.14958i	−0.494069	+	0.330127i	−0.777518	−	0.628861i	$-0.783522\pi$
$347$	−9.20349	+	6.14958i	−0.494069	+	0.330127i	0.283448	+	0.958987i	$0.408522\pi$
$348$	−18.3131	−	17.5000i	−0.981685	−	0.938100i
$349$	1.24480	+	6.25805i	0.0666328	+	0.334986i	0.999694	−	0.0247315i	$-0.00787309\pi$
$349$	1.24480	+	6.25805i	0.0666328	+	0.334986i	−0.933061	+	0.359717i	$0.882873\pi$
$350$	−8.51415	+	5.47337i	−0.455101	+	0.292564i
$351$	−18.7302	−	13.1195i	−0.999742	−	0.700268i
$352$	8.95309	+	28.5244i	0.477201	+	1.52035i
$353$	2.07113			0.110235			0.0551176	−	0.998480i	$-0.482447\pi$
$353$	2.07113			0.110235			0.0551176	+	0.998480i	$0.482447\pi$
$354$	−9.66363	−	1.51926i	−0.513616	−	0.0807479i
$355$	−1.65498	+	0.329195i	−0.0878370	+	0.0174719i
$356$	−24.5799	−	26.3861i	−1.30273	−	1.39846i
$357$	2.01488	+	0.280295i	0.106639	+	0.0148348i
$358$	−23.3039	−	24.1444i	−1.23165	−	1.27607i
$359$	1.84595	−	4.45652i	0.0974255	−	0.235206i	−0.867651	−	0.497173i	$-0.834371\pi$
$359$	1.84595	−	4.45652i	0.0974255	−	0.235206i	0.965077	+	0.261967i	$0.0843713\pi$
$360$	−1.75707	+	0.861389i	−0.0926059	+	0.0453992i
$361$	6.98132	+	16.8544i	0.367438	+	0.887073i
$362$	−10.4786	−	4.55947i	−0.550745	−	0.239641i
$363$	17.6814	+	23.3957i	0.928031	+	1.22796i
$364$	2.04049	+	12.5701i	0.106951	+	0.658852i
$365$	−1.36773	+	2.04695i	−0.0715902	+	0.107142i
$366$	−13.6920	+	22.4007i	−0.715693	+	1.17090i
$367$	−8.54729	−	8.54729i	−0.446165	−	0.446165i	0.447913	−	0.894077i	$-0.352168\pi$
$367$	−8.54729	−	8.54729i	−0.446165	−	0.446165i	−0.894077	+	0.447913i	$0.852168\pi$
$368$	4.84351	−	9.68943i	0.252486	−	0.505096i
$369$	15.1748	+	12.0014i	0.789971	+	0.624766i
$370$	−2.84779	−	1.97667i	−0.148049	−	0.102762i
$371$	−1.22133	+	1.82785i	−0.0634083	+	0.0948973i
$372$	−6.69266	−	9.54018i	−0.346998	−	0.494635i
$373$	−3.63905	+	18.2947i	−0.188423	+	0.947265i	0.764632	+	0.644467i	$0.222921\pi$
$373$	−3.63905	+	18.2947i	−0.188423	+	0.947265i	−0.953055	+	0.302798i	$0.902079\pi$
$374$	−2.22222	−	5.64572i	−0.114908	−	0.291933i
$375$	−1.30466	+	3.75286i	−0.0673726	+	0.193797i
$376$	−0.956945	−	6.63624i	−0.0493507	−	0.342238i
$377$	−12.3149	+	29.7309i	−0.634252	+	1.53122i
$378$	6.25287	−	8.59872i	0.321613	−	0.442271i
$379$	13.9727	−	9.33623i	0.717727	−	0.479570i	−0.142297	−	0.989824i	$-0.545449\pi$
$379$	13.9727	−	9.33623i	0.717727	−	0.479570i	0.860024	+	0.510254i	$0.170449\pi$
$380$	0.166600	−	0.365069i	0.00854640	−	0.0187276i
$381$	10.4885	−	17.8631i	0.537342	−	0.915155i
$382$	1.64269	−	7.55631i	0.0840471	−	0.386615i
$383$	20.1545			1.02984			0.514922	−	0.857237i	$-0.327821\pi$
$383$	20.1545			1.02984			0.514922	+	0.857237i	$0.327821\pi$
$384$	−17.5715	−	8.67431i	−0.896690	−	0.442659i
$385$	1.76340			0.0898710
$386$	−0.100297	+	0.461365i	−0.00510500	+	0.0234829i
$387$	0.456035	−	0.147387i	0.0231815	−	0.00749212i
$388$	−2.45944	+	5.38934i	−0.124859	+	0.273602i
$389$	28.7669	−	19.2214i	1.45854	−	0.974564i	0.462409	−	0.886667i	$-0.346985\pi$
$389$	28.7669	−	19.2214i	1.45854	−	0.974564i	0.996130	−	0.0878973i	$-0.0280147\pi$
$390$	1.82750	+	1.68546i	0.0925392	+	0.0853466i
$391$	−0.841297	+	2.03107i	−0.0425462	+	0.102716i
$392$	13.7363	−	1.98077i	0.693786	−	0.100044i
$393$	21.8082	+	7.58150i	1.10008	+	0.382436i
$394$	−9.35376	−	23.7639i	−0.471235	−	1.19721i
$395$	0.655334	−	3.29458i	0.0329734	−	0.165769i
$396$	−31.4986	−	3.65520i	−1.58286	−	0.183681i
$397$	−13.4947	+	20.1963i	−0.677281	+	1.01362i	0.320513	+	0.947244i	$0.396145\pi$
$397$	−13.4947	+	20.1963i	−0.677281	+	1.01362i	−0.997794	+	0.0663793i	$0.978855\pi$
$398$	8.14233	+	5.65166i	0.408138	+	0.283292i
$399$	0.126652	+	2.17656i	0.00634054	+	0.108964i
$400$	−18.7712	+	6.25914i	−0.938561	+	0.312957i
$401$	5.18962	+	5.18962i	0.259157	+	0.259157i	0.824711	−	0.565554i	$-0.191338\pi$
$401$	5.18962	+	5.18962i	0.259157	+	0.259157i	−0.565554	+	0.824711i	$0.691338\pi$
$402$	24.1974	+	14.7902i	1.20686	+	0.737670i
$403$	−8.22533	+	12.3101i	−0.409733	+	0.613209i
$404$	0.280303	+	1.72676i	0.0139456	+	0.0859097i
$405$	−0.0750058	−	2.07421i	−0.00372707	−	0.103068i
$406$	−13.7191	−	5.96945i	−0.680866	−	0.296259i
$407$	−21.4969	−	51.8981i	−1.06556	−	2.57249i
$408$	3.68171	+	1.50355i	0.182272	+	0.0744368i
$409$	−1.29174	+	3.11853i	−0.0638723	+	0.154201i	−0.952593	−	0.304248i	$-0.901595\pi$
$409$	−1.29174	+	3.11853i	−0.0638723	+	0.154201i	0.888721	+	0.458449i	$0.151595\pi$
$410$	−1.46069	−	1.51337i	−0.0721381	−	0.0747400i
$411$	−2.14977	+	15.4534i	−0.106040	+	0.762259i
$412$	19.5217	+	20.9562i	0.961766	+	1.03244i
$413$	−5.66699	+	1.12724i	−0.278855	+	0.0554676i
$414$	7.29217	+	8.87901i	0.358391	+	0.436380i
$415$	−1.86261			−0.0914317
$416$	−2.20190	+	24.7979i	−0.107957	+	1.21581i
$417$	−18.9844	−	16.8965i	−0.929669	−	0.827425i
$418$	5.46989	−	3.51635i	0.267541	−	0.171990i
$419$	−0.551004	−	2.77009i	−0.0269183	−	0.135328i	0.964989	−	0.262289i	$-0.0844775\pi$
$419$	−0.551004	−	2.77009i	−0.0269183	−	0.135328i	−0.991908	+	0.126962i	$0.959477\pi$
$420$	−0.798538	+	0.835639i	−0.0389647	+	0.0407750i
$421$	−30.4212	+	20.3268i	−1.48264	+	0.990669i	−0.489721	+	0.871879i	$0.662901\pi$
$421$	−30.4212	+	20.3268i	−1.48264	+	0.990669i	−0.992919	+	0.118790i	$0.962099\pi$
$422$	−24.8070	−	25.7017i	−1.20759	−	1.25114i
$423$	6.84158	+	1.94107i	0.332649	+	0.0943779i
$424$	−3.19598	+	2.87318i	−0.155211	+	0.139534i
$425$	3.71004	−	1.53675i	0.179964	−	0.0745433i
$426$	16.2677	−	7.52203i	0.788172	−	0.364444i
$427$	−3.02527	+	15.2091i	−0.146403	+	0.736019i
$428$	−15.9739	−	11.5121i	−0.772128	−	0.556460i
$429$	10.1413	+	38.9882i	0.489627	+	1.88237i
$430$	−0.0512734	+	0.00925803i	−0.00247262	+	0.000446462i
$431$	7.16680	−	7.16680i	0.345213	−	0.345213i	−0.513110	−	0.858323i	$-0.671507\pi$
$431$	7.16680	−	7.16680i	0.345213	−	0.345213i	0.858323	+	0.513110i	$0.171507\pi$
$432$	15.9960	−	13.2713i	0.769607	−	0.638518i
$433$	13.3301	+	13.3301i	0.640602	+	0.640602i	0.950704	−	0.310101i	$-0.100363\pi$
$433$	13.3301	+	13.3301i	0.640602	+	0.640602i	−0.310101	+	0.950704i	$0.600363\pi$
$434$	−5.65463	−	3.92493i	−0.271431	−	0.188403i
$435$	−2.82674	+	0.735271i	−0.135532	+	0.0352535i
$436$	2.39653	+	3.87724i	0.114773	+	0.185686i
$437$	−2.31088	−	0.459662i	−0.110544	−	0.0219886i
$438$	9.02235	−	24.5424i	0.431105	−	1.17268i
$439$	−6.59135	−	15.9129i	−0.314588	−	0.759483i	−0.999523	−	0.0308788i	$-0.990169\pi$
$439$	−6.59135	−	15.9129i	−0.314588	−	0.759483i	0.684935	−	0.728604i	$-0.259831\pi$
$440$	3.34060	+	0.851168i	0.159257	+	0.0405778i
$441$	−4.01779	+	14.1613i	−0.191323	+	0.674347i
$442$	0.0894850	−	5.05160i	0.00425637	−	0.240280i
$443$	−14.1947	−	21.2438i	−0.674409	−	1.00933i	−0.998005	−	0.0631297i	$-0.979892\pi$
$443$	−14.1947	−	21.2438i	−0.674409	−	1.00933i	0.323596	−	0.946195i	$-0.395108\pi$
$444$	34.3282	+	13.3146i	1.62914	+	0.631885i
$445$	−4.07827	+	0.811217i	−0.193328	+	0.0384554i
$446$	−2.02881	+	9.33248i	−0.0960670	+	0.441906i
$447$	15.0990	−	16.9648i	0.714160	−	0.802408i
$448$	−11.5092	−	1.22775i	−0.543758	−	0.0580059i
$449$		−	7.48087i		−	0.353044i	−0.984297	−	0.176522i	$-0.943515\pi$
$449$		−	7.48087i		−	0.353044i	0.984297	−	0.176522i	$-0.0564847\pi$
$450$	2.04961	−	20.8872i	0.0966197	−	0.984634i
$451$	−6.64927	−	33.4281i	−0.313102	−	1.57407i
$452$	−14.7581	+	5.50910i	−0.694160	+	0.259126i
$453$	−19.5648	−	2.72171i	−0.919232	−	0.127877i
$454$	20.8180	+	0.368774i	0.977036	+	0.0173074i
$455$	1.35664	+	0.561940i	0.0636004	+	0.0263441i
$456$	−0.810663	+	4.18443i	−0.0379628	+	0.195954i
$457$	−23.3423	+	9.66871i	−1.09191	+	0.452283i	−0.854672	−	0.519169i	$-0.826242\pi$
$457$	−23.3423	+	9.66871i	−1.09191	+	0.452283i	−0.237237	+	0.971452i	$0.576242\pi$
$458$	11.5451	+	29.3313i	0.539469	+	1.37056i
$459$	−3.04750	+	2.91640i	−0.142245	+	0.136126i
$460$	−0.656740	−	1.06251i	−0.0306207	−	0.0495398i
$461$	−27.2573	−	18.2128i	−1.26950	−	0.848253i	−0.275897	−	0.961187i	$-0.588975\pi$
$461$	−27.2573	−	18.2128i	−1.26950	−	0.848253i	−0.993602	+	0.112935i	$0.963975\pi$
$462$	−18.2073	+	4.39316i	−0.847078	+	0.204388i
$463$	8.87049	−	8.87049i	0.412246	−	0.412246i	−0.470274	−	0.882520i	$-0.655845\pi$
$463$	8.87049	−	8.87049i	0.412246	−	0.412246i	0.882520	+	0.470274i	$0.155845\pi$
$464$	−23.1082	−	17.9306i	−1.07277	−	0.832407i
$465$	−1.34150	+	0.0780608i	−0.0622105	+	0.00361998i
$466$	3.94416	+	21.8438i	0.182710	+	1.01189i
$467$	13.4537	+	8.98949i	0.622564	+	0.415984i	0.826450	−	0.563011i	$-0.190357\pi$
$467$	13.4537	+	8.98949i	0.622564	+	0.415984i	−0.203885	+	0.978995i	$0.565357\pi$
$468$	−23.0682	−	12.8497i	−1.06633	−	0.593977i
$469$	16.4290	+	3.26793i	0.758620	+	0.150899i
$470$	−0.708930	−	0.308470i	−0.0327005	−	0.0142287i
$471$	−8.50827	+	24.4740i	−0.392041	+	1.12770i
$472$	−11.2797	−	0.599935i	−0.519191	−	0.0276143i
$473$	−0.780028	−	0.323098i	−0.0358657	−	0.0148561i
$474$	1.44143	+	35.6496i	0.0662073	+	1.63744i
$475$	2.39109	+	3.57852i	0.109711	+	0.164194i
$476$	2.34751	+	0.0831946i	0.107598	+	0.00381322i
$477$	−1.40182	−	4.33740i	−0.0641849	−	0.198596i
$478$	−2.54032	−	3.95162i	−0.116192	−	0.180743i
$479$			16.5647i			0.756860i	0.925630	+	0.378430i	$0.123536\pi$
$479$			16.5647i			0.756860i	−0.925630	+	0.378430i	$0.876464\pi$
$480$	−1.91611	+	1.19760i	−0.0874581	+	0.0546627i
$481$		−	46.7774i		−	2.13287i
$482$	−1.24203	+	0.798444i	−0.0565728	+	0.0363681i
$483$	5.85224	+	3.43620i	0.266286	+	0.156353i
$484$	23.0812	+	24.7773i	1.04915	+	1.12624i
$485$	0.379505	+	0.567969i	0.0172324	+	0.0257902i
$486$	5.94193	+	21.2295i	0.269531	+	0.962992i
$487$	−18.6465	−	7.72362i	−0.844952	−	0.349991i	−0.0821480	−	0.996620i	$-0.526178\pi$
$487$	−18.6465	−	7.72362i	−0.844952	−	0.349991i	−0.762804	+	0.646629i	$0.776178\pi$
$488$	−13.0723	+	27.3520i	−0.591757	+	1.23817i
$489$	−8.33386	−	2.89723i	−0.376870	−	0.131017i
$490$	0.638498	−	1.46740i	0.0288444	−	0.0662906i
$491$	1.26568	+	0.251759i	0.0571192	+	0.0113617i	0.223567	−	0.974689i	$-0.428230\pi$
$491$	1.26568	+	0.251759i	0.0571192	+	0.0113617i	−0.166448	+	0.986050i	$0.553230\pi$
$492$	18.8520	+	11.9867i	0.849914	+	0.540401i
$493$	4.93552	+	3.29781i	0.222285	+	0.148526i
$494$	5.32873	−	0.962166i	0.239751	−	0.0432899i
$495$	−2.26817	+	2.86793i	−0.101946	+	0.128904i
$496$	−8.81769	−	10.1648i	−0.395926	−	0.456415i
$497$	7.48552	−	7.48552i	0.335771	−	0.335771i
$498$	19.2316	−	4.64032i	0.861788	−	0.207938i
$499$	−15.0585	−	10.0618i	−0.674113	−	0.450428i	0.170819	−	0.985302i	$-0.445359\pi$
$499$	−15.0585	−	10.0618i	−0.674113	−	0.450428i	−0.844931	+	0.534875i	$0.820359\pi$
$500$	−1.05385	+	4.46515i	−0.0471294	+	0.199688i
$501$	7.16157	−	5.41237i	0.319955	−	0.241807i
$502$	−39.0234	+	15.3601i	−1.74170	+	0.685553i
$503$	−30.1207	+	12.4764i	−1.34302	+	0.556295i	−0.934340	−	0.356384i	$-0.884010\pi$
$503$	−30.1207	+	12.4764i	−1.34302	+	0.556295i	−0.408676	+	0.912679i	$0.634010\pi$
$504$	6.16316	−	10.6175i	0.274529	−	0.472940i
$505$	0.186363	+	0.0771941i	0.00829304	+	0.00343509i
$506$	0.358496	−	20.2378i	0.0159371	−	0.899679i
$507$	−1.51978	+	10.9248i	−0.0674959	+	0.485188i
$508$	9.93044	−	21.7605i	0.440592	−	0.965465i
$509$	6.54852	+	32.9216i	0.290258	+	1.45922i	0.800572	+	0.599237i	$0.204529\pi$
$509$	6.54852	+	32.9216i	0.290258	+	1.45922i	−0.510314	+	0.859988i	$0.670471\pi$
$510$	0.370684	−	0.269965i	0.0164142	−	0.0119542i
$511$		−	15.4447i		−	0.683233i
$512$	−21.2105	−	7.88121i	−0.937382	−	0.348303i
$513$	−3.70278	−	2.59361i	−0.163482	−	0.114511i
$514$	−27.8323	−	6.05054i	−1.22763	−	0.266878i
$515$	3.23902	−	0.644281i	0.142728	−	0.0283904i
$516$	0.506339	−	0.223328i	0.0222903	−	0.00983146i
$517$	−6.96033	−	10.4169i	−0.306115	−	0.458133i
$518$	21.7446	+	0.385187i	0.955402	+	0.0169242i
$519$	−34.2281	+	16.5688i	−1.50245	+	0.727291i
$520$	2.29880	+	1.71938i	0.100809	+	0.0753997i
$521$	−10.9098	−	26.3385i	−0.477966	−	1.15391i	−0.960561	−	0.278069i	$-0.910306\pi$
$521$	−10.9098	−	26.3385i	−0.477966	−	1.15391i	0.482595	−	0.875844i	$-0.339694\pi$
$522$	27.3546	−	14.6340i	1.19728	−	0.640514i
$523$	29.1626	+	5.80081i	1.27519	+	0.253652i	0.785838	−	0.618433i	$-0.212232\pi$
$523$	29.1626	+	5.80081i	1.27519	+	0.253652i	0.489355	+	0.872085i	$0.337232\pi$
$524$	25.9473	+	6.12397i	1.13351	+	0.267527i
$525$	−3.12064	−	11.9973i	−0.136196	−	0.523604i
$526$	−7.94573	+	11.4474i	−0.346450	+	0.499130i
$527$	1.93105	+	1.93105i	0.0841178	+	0.0841178i
$528$	−36.6125	−	0.465941i	−1.59336	−	0.0202775i
$529$	11.0775	−	11.0775i	0.481631	−	0.481631i
$530$	0.0880542	+	0.487668i	0.00382483	+	0.0211829i
$531$	5.45587	−	10.6665i	0.236764	−	0.462887i
$532$	0.403386	+	2.48499i	0.0174890	+	0.107738i
$533$	5.53699	−	27.8363i	0.239834	−	1.20573i
$534$	40.0875	−	18.5361i	1.73476	−	0.802136i
$535$	−2.09761	+	0.868857i	−0.0906874	+	0.0375639i
$536$	29.5459	+	14.1208i	1.27619	+	0.609928i
$537$	36.9917	−	17.9066i	1.59631	−	0.772726i
$538$	0.875420	−	0.844945i	0.0377420	−	0.0364282i
$539$	21.5617	−	14.4071i	0.928729	−	0.620557i
$540$	−0.331936	−	2.37356i	−0.0142843	−	0.102142i
$541$	−3.26111	−	16.3947i	−0.140206	−	0.704863i	−0.985380	−	0.170371i	$-0.945503\pi$
$541$	−3.26111	−	16.3947i	−0.140206	−	0.704863i	0.845174	−	0.534491i	$-0.179497\pi$
$542$	21.6071	+	33.6112i	0.928105	+	1.44372i
$543$	9.30500	−	10.4548i	0.399316	−	0.448659i
$544$	4.40699	+	1.29072i	0.188948	+	0.0553390i
$545$	0.525591			0.0225138
$546$	−15.4074	−	2.42227i	−0.659377	−	0.103664i
$547$	−10.1906	+	2.02703i	−0.435717	+	0.0866695i	−0.408075	−	0.912948i	$-0.633800\pi$
$547$	−10.1906	+	2.02703i	−0.435717	+	0.0866695i	−0.0276419	+	0.999618i	$0.508800\pi$
$548$	−0.638072	+	18.0046i	−0.0272571	+	0.769117i
$549$	−20.8443	−	24.4829i	−0.889612	−	1.04490i
$550$	−26.6028	+	25.6767i	−1.13435	+	1.09486i
$551$	−2.43455	+	5.87753i	−0.103715	+	0.250391i
$552$	9.42795	+	9.33438i	0.401280	+	0.397298i
$553$	8.06464	+	19.4698i	0.342943	+	0.827939i
$554$	−8.07311	+	18.5537i	−0.342993	+	0.788273i
$555$	3.38716	−	2.55985i	0.143777	−	0.108660i
$556$	−23.8077	−	17.1578i	−1.00967	−	0.727654i
$557$	1.56244	−	2.33835i	0.0662026	−	0.0990791i	−0.796891	−	0.604123i	$-0.793524\pi$
$557$	1.56244	−	2.33835i	0.0662026	−	0.0990791i	0.863094	+	0.505044i	$0.168524\pi$
$558$	13.6566	−	4.14807i	0.578131	−	0.175602i
$559$	−0.497141	−	0.497141i	−0.0210268	−	0.0210268i
$560$	−0.818185	+	1.05444i	−0.0345746	+	0.0445583i
$561$	7.41838	−	0.431670i	0.313204	−	0.0182251i
$562$	10.5852	−	15.2500i	0.446508	−	0.643283i
$563$	10.6594	−	15.9529i	0.449238	−	0.672333i	−0.535864	−	0.844305i	$-0.680014\pi$
$563$	10.6594	−	15.9529i	0.449238	−	0.672333i	0.985102	+	0.171972i	$0.0550139\pi$
$564$	8.08827	+	1.41882i	0.340578	+	0.0597432i
$565$	−0.354370	+	1.78154i	−0.0149084	+	0.0749498i
$566$	23.1914	−	9.12838i	0.974806	−	0.383694i
$567$	7.62078	+	10.5583i	0.320043	+	0.443408i
$568$	17.7938	−	10.5675i	0.746611	−	0.443402i
$569$	0.509723	−	1.23058i	0.0213687	−	0.0515886i	−0.912835	−	0.408329i	$-0.866112\pi$
$569$	0.509723	−	1.23058i	0.0213687	−	0.0515886i	0.934204	+	0.356740i	$0.116112\pi$
$570$	0.361281	+	0.333200i	0.0151324	+	0.0139562i
$571$	26.2482	−	17.5385i	1.09845	−	0.733964i	0.132115	−	0.991234i	$-0.457823\pi$
$571$	26.2482	−	17.5385i	1.09845	−	0.733964i	0.966339	+	0.257271i	$0.0828233\pi$
$572$	16.2683	+	43.5803i	0.680211	+	1.82218i
$573$	8.16697	+	4.79532i	0.341180	+	0.200327i
$574$	12.8942	+	2.80310i	0.538193	+	0.116999i
$575$	13.3967			0.558680
$576$	16.8005	−	17.1390i	0.700019	−	0.714124i
$577$	−12.6701			−0.527463			−0.263732	−	0.964596i	$-0.584953\pi$
$577$	−12.6701			−0.527463			−0.263732	+	0.964596i	$0.584953\pi$
$578$	22.5822	+	4.90921i	0.939297	+	0.204196i
$579$	−0.498650	−	0.292787i	−0.0207232	−	0.0121678i
$580$	−3.15968	+	1.17949i	−0.131199	+	0.0489757i
$581$	9.71597	−	6.49200i	0.403086	−	0.269334i
$582$	−5.33341	−	4.91888i	−0.221077	−	0.203894i
$583$	−3.07303	+	7.41894i	−0.127272	+	0.307261i
$584$	7.45495	−	29.2586i	0.308488	−	1.21073i
$585$	−2.65890	+	1.48360i	−0.109932	+	0.0613394i
$586$	5.78631	−	2.27756i	0.239030	−	0.0940850i
$587$	−3.44157	+	17.3020i	−0.142049	+	0.714128i	0.842455	+	0.538767i	$0.181110\pi$
$587$	−3.44157	+	17.3020i	−0.142049	+	0.714128i	−0.984504	+	0.175362i	$0.943890\pi$
$588$	−2.93680	+	16.7418i	−0.121112	+	0.690420i
$589$	−1.62607	+	2.43359i	−0.0670012	+	0.100274i
$590$	−0.742693	+	1.07000i	−0.0305762	+	0.0440510i
$591$	31.2254	−	1.81698i	1.28444	−	0.0747407i
$592$	41.0072	+	11.2255i	1.68539	+	0.461366i
$593$	−21.8878	−	21.8878i	−0.898825	−	0.898825i	0.0965075	−	0.995332i	$-0.469233\pi$
$593$	−21.8878	−	21.8878i	−0.898825	−	0.898825i	−0.995332	+	0.0965075i	$0.969233\pi$
$594$	16.2742	−	35.2624i	0.667737	−	1.44683i
$595$	0.150481	−	0.225211i	0.00616913	−	0.00923276i
$596$	15.3326	−	21.2750i	0.628046	−	0.871459i
$597$	−9.68449	+	7.31908i	−0.396360	+	0.299550i
$598$	6.72495	−	15.4554i	0.275004	−	0.632018i
$599$	5.80072	+	14.0042i	0.237011	+	0.572196i	0.996971	−	0.0777745i	$-0.0247814\pi$
$599$	5.80072	+	14.0042i	0.237011	+	0.572196i	−0.759960	+	0.649970i	$0.774781\pi$
$600$	−0.120850	−	24.2340i	−0.00493368	−	0.989351i
$601$	−6.35611	+	15.3450i	−0.259271	+	0.625936i	−0.998891	−	0.0470893i	$-0.985005\pi$
$601$	−6.35611	+	15.3450i	−0.259271	+	0.625936i	0.739620	+	0.673025i	$0.235005\pi$
$602$	0.235191	−	0.227003i	0.00958566	−	0.00925197i
$603$	−26.4466	+	22.5162i	−1.07699	+	0.916929i
$604$	−22.7947	−	0.807832i	−0.927502	−	0.0328702i
$605$	3.82960	−	0.761755i	0.155695	−	0.0309698i
$606$	−2.11653	−	0.332749i	−0.0859782	−	0.0135170i
$607$	10.1954			0.413818			0.206909	−	0.978360i	$-0.433660\pi$
$607$	10.1954			0.413818			0.206909	+	0.978360i	$0.433660\pi$
$608$	−0.435295	+	4.90231i	−0.0176536	+	0.198815i
$609$	12.1825	−	13.6879i	0.493659	−	0.554660i
$610$	1.89028	+	2.94045i	0.0765354	+	0.119055i
$611$	−2.03529	−	10.2321i	−0.0823391	−	0.413946i
$612$	−3.15479	+	3.71090i	−0.127525	+	0.150004i
$613$	10.8800	−	7.26976i	0.439437	−	0.293623i	−0.316103	−	0.948725i	$-0.602374\pi$
$613$	10.8800	−	7.26976i	0.439437	−	0.293623i	0.755540	+	0.655102i	$0.227374\pi$
$614$	11.4837	−	11.0839i	0.463443	−	0.447310i
$615$	2.31864	−	1.12238i	0.0934965	−	0.0452589i
$616$	−20.3924	+	7.20348i	−0.821632	+	0.290237i
$617$	−12.8854	+	5.33730i	−0.518746	+	0.214872i	−0.626666	−	0.779288i	$-0.715581\pi$
$617$	−12.8854	+	5.33730i	−0.518746	+	0.214872i	0.107920	+	0.994160i	$0.465581\pi$
$618$	−31.8381	+	14.7217i	−1.28072	+	0.592192i
$619$	4.46258	−	22.4349i	0.179366	−	0.901736i	−0.781326	−	0.624123i	$-0.785457\pi$
$619$	4.46258	−	22.4349i	0.179366	−	0.901736i	0.960693	−	0.277613i	$-0.0895434\pi$
$620$	−1.53160	+	0.248623i	−0.0615106	+	0.00998492i
$621$	−13.1160	+	5.09808i	−0.526326	+	0.204579i
$622$	3.93448	+	21.7902i	0.157758	+	0.873707i
$623$	18.4461	−	18.4461i	0.739029	−	0.739029i
$624$	−28.0188	−	12.0257i	−1.12165	−	0.481415i
$625$	−17.1156	−	17.1156i	−0.684622	−	0.684622i
$626$	−8.67614	+	12.4997i	−0.346768	+	0.499588i
$627$	2.00485	+	7.70761i	0.0800658	+	0.307812i
$628$	−6.87258	+	29.1192i	−0.274246	+	1.16198i
$629$	−8.46260	−	1.68332i	−0.337426	−	0.0671182i
$630$	−0.667761	−	1.24821i	−0.0266042	−	0.0497299i
$631$	−7.15828	−	17.2816i	−0.284967	−	0.687971i	0.714971	−	0.699154i	$-0.246440\pi$
$631$	−7.15828	−	17.2816i	−0.284967	−	0.687971i	−0.999937	+	0.0111837i	$0.996440\pi$
$632$	5.87995	+	40.7764i	0.233892	+	1.62200i
$633$	39.3777	−	19.0616i	1.56512	−	0.757629i
$634$	−37.8562	−	0.670591i	−1.50346	−	0.0266326i
$635$	−1.53232	−	2.29328i	−0.0608084	−	0.0910062i
$636$	−2.12410	−	4.81585i	−0.0842260	−	0.190961i
$637$	21.1793	−	4.21282i	0.839153	−	0.166918i
$638$	−53.4049	−	11.6098i	−2.11432	−	0.459637i
$639$	2.54596	+	21.8024i	0.100716	+	0.862490i
$640$	−2.05894	+	1.60262i	−0.0813869	+	0.0633491i
$641$		−	1.01476i		−	0.0400806i	−0.999799	−	0.0200403i	$-0.993621\pi$
$641$		−	1.01476i		−	0.0400806i	0.999799	−	0.0200403i	$-0.00637945\pi$
$642$	19.4934	−	14.1968i	0.769343	−	0.560304i
$643$	3.60657	+	18.1314i	0.142229	+	0.715034i	0.984417	+	0.175850i	$0.0562674\pi$
$643$	3.60657	+	18.1314i	0.142229	+	0.715034i	−0.842188	+	0.539184i	$0.818733\pi$
$644$	7.12909	+	3.25337i	0.280925	+	0.128201i
$645$	0.00879244	−	0.0632037i	0.000346202	−	0.00248864i
$646$	0.0176904	−	0.998656i	0.000696019	−	0.0392916i
$647$	−9.67105	−	4.00588i	−0.380208	−	0.157487i	0.184390	−	0.982853i	$-0.440969\pi$
$647$	−9.67105	−	4.00588i	−0.380208	−	0.157487i	−0.564598	+	0.825366i	$0.690969\pi$
$648$	9.34053	+	23.6803i	0.366931	+	0.930248i
$649$	−19.4996	+	8.07701i	−0.765428	+	0.317050i
$650$	−28.6489	+	11.2765i	−1.12370	+	0.442301i
$651$	6.72562	−	5.08290i	0.263598	−	0.199215i
$652$	−9.91562	−	2.34024i	−0.388326	−	0.0916509i
$653$	22.5820	+	15.0888i	0.883701	+	0.590470i	0.912483	−	0.409116i	$-0.134163\pi$
$653$	22.5820	+	15.0888i	0.883701	+	0.590470i	−0.0287816	+	0.999586i	$0.509163\pi$
$654$	−5.42678	+	1.30941i	−0.212204	+	0.0512019i
$655$	2.17376	−	2.17376i	0.0849359	−	0.0849359i
$656$	23.0739	+	11.5341i	0.900883	+	0.450330i
$657$	25.1187	+	19.8657i	0.979976	+	0.775036i
$658$	4.77317	−	0.861853i	0.186078	−	0.0335985i
$659$	−8.78999	−	5.87328i	−0.342409	−	0.228791i	0.372461	−	0.928048i	$-0.378514\pi$
$659$	−8.78999	−	5.87328i	−0.342409	−	0.228791i	−0.714870	+	0.699257i	$0.753514\pi$
$660$	−2.26539	+	3.56288i	−0.0881801	+	0.138685i
$661$	−25.4692	−	5.06615i	−0.990638	−	0.197050i	−0.326936	−	0.945047i	$-0.606016\pi$
$661$	−25.4692	−	5.06615i	−0.990638	−	0.197050i	−0.663703	+	0.747996i	$0.731016\pi$
$662$	3.08087	−	7.08051i	0.119742	−	0.275192i
$663$	5.84478	+	2.03191i	0.226992	+	0.0789127i
$664$	21.5396	−	7.60875i	0.835900	−	0.295277i
$665$	0.268196	+	0.111090i	0.0104002	+	0.00430790i
$666$	−28.5954	+	34.8692i	−1.10805	+	1.35115i
$667$	11.0017	+	16.4652i	0.425987	+	0.637534i
$668$	7.58447	−	7.06529i	0.293452	−	0.273364i
$669$	−10.0867	−	5.92249i	−0.389973	−	0.228977i
$670$	3.17630	−	2.04190i	0.122711	−	0.0788855i
$671$			56.6450i			2.18675i
$672$	5.82091	−	12.9256i	0.224546	−	0.498615i
$673$			37.6316i			1.45059i	0.688437	+	0.725296i	$0.258297\pi$
$673$			37.6316i			1.45059i	−0.688437	+	0.725296i	$0.741703\pi$
$674$	−0.237764	−	0.369856i	−0.00915833	−	0.0142463i
$675$	23.5259	+	10.3562i	0.905511	+	0.398609i
$676$	−0.451087	+	12.7284i	−0.0173495	+	0.489553i
$677$	−17.5351	−	26.2432i	−0.673929	−	1.00861i	−0.998040	−	0.0625870i	$-0.980065\pi$
$677$	−17.5351	−	26.2432i	−0.673929	−	1.00861i	0.324110	−	0.946019i	$-0.394935\pi$
$678$	−0.779451	−	19.2774i	−0.0299346	−	0.740344i
$679$	−3.95925	−	1.63997i	−0.151942	−	0.0629364i
$680$	0.393780	−	0.354007i	0.0151008	−	0.0135756i
$681$	−8.37362	+	24.0867i	−0.320878	+	0.923004i
$682$	−23.0557	−	10.0320i	−0.882848	−	0.384145i
$683$	−35.4822	−	7.05785i	−1.35769	−	0.270061i	−0.538036	−	0.842922i	$-0.680833\pi$
$683$	−35.4822	−	7.05785i	−1.35769	−	0.270061i	−0.819653	+	0.572861i	$0.805833\pi$
$684$	−4.56036	−	2.54027i	−0.174370	−	0.0971296i
$685$	1.72729	+	1.15414i	0.0659963	+	0.0440973i
$686$	4.32892	+	23.9747i	0.165279	+	0.915358i
$687$	−38.5408	+	2.24266i	−1.47042	+	0.0855629i
$688$	0.555119	−	0.316514i	0.0211637	−	0.0120670i
$689$	−4.72837	+	4.72837i	−0.180137	+	0.180137i
$690$	1.48714	−	0.358827i	0.0566146	−	0.0136603i
$691$	24.3767	+	16.2880i	0.927334	+	0.619625i	0.924834	−	0.380372i	$-0.124204\pi$
$691$	24.3767	+	16.2880i	0.927334	+	0.619625i	0.00250053	+	0.999997i	$0.499204\pi$
$692$	−37.3513	+	23.0869i	−1.41988	+	0.877633i
$693$	1.83551	−	22.8656i	0.0697253	−	0.868593i
$694$	−5.73338	−	14.5661i	−0.217636	−	0.552922i
$695$	−3.12630	+	1.29495i	−0.118587	+	0.0491204i
$696$	29.6856	−	20.0501i	1.12523	−	0.759998i
$697$	−4.83668	−	2.00342i	−0.183202	−	0.0758848i
$698$	−9.02219	−	0.159821i	−0.341495	−	0.00604931i
$699$	−26.9264	−	3.74581i	−1.01845	−	0.141679i
$700$	−5.00600	−	13.4103i	−0.189209	−	0.506863i
$701$	−0.333536	−	1.67680i	−0.0125975	−	0.0633318i	0.973975	−	0.226655i	$-0.0727788\pi$
$701$	−0.333536	−	1.67680i	−0.0125975	−	0.0633318i	−0.986573	+	0.163323i	$0.947779\pi$
$702$	23.7573	−	21.9425i	0.896661	−	0.828166i
$703$		−	9.24747i		−	0.348775i
$704$	−42.1085	+	3.80324i	−1.58703	+	0.143340i
$705$	0.629528	−	0.707318i	0.0237094	−	0.0266391i
$706$	−0.622215	+	2.86217i	−0.0234174	+	0.107719i
$707$	−1.24119	+	0.246887i	−0.0466796	+	0.00928515i
$708$	5.00270	−	12.8981i	0.188013	−	0.484740i
$709$	−10.4204	−	15.5952i	−0.391345	−	0.585689i	0.582520	−	0.812816i	$-0.302067\pi$
$709$	−10.4204	−	15.5952i	−0.391345	−	0.585689i	−0.973865	+	0.227127i	$0.927067\pi$
$710$	0.0422655	−	2.38597i	0.00158620	−	0.0895438i
$711$	−42.0381	−	11.9269i	−1.57655	−	0.447294i
$712$	43.8483	−	26.0409i	1.64328	−	0.975923i
$713$	3.48643	+	8.41699i	0.130568	+	0.315219i
$714$	−0.992665	+	2.70022i	−0.0371495	+	0.101053i
$715$	5.26085	+	1.04645i	0.196745	+	0.0391350i
$716$	40.3670	−	24.9509i	1.50858	−	0.932460i
$717$	5.56822	−	1.44836i	0.207949	−	0.0540901i
$718$	5.60406	+	3.88982i	0.209142	+	0.145167i
$719$	−6.74931	−	6.74931i	−0.251707	−	0.251707i	0.569963	−	0.821670i	$-0.306957\pi$
$719$	−6.74931	−	6.74931i	−0.251707	−	0.251707i	−0.821670	+	0.569963i	$0.806957\pi$
$720$	−0.662519	−	2.68694i	−0.0246906	−	0.100136i
$721$	−14.6502	+	14.6502i	−0.545602	+	0.545602i
$722$	−25.3890	+	4.58429i	−0.944882	+	0.170610i
$723$	−0.455232	−	1.75014i	−0.0169303	−	0.0650883i
$724$	9.44892	−	13.1110i	0.351166	−	0.487268i
$725$	7.05684	−	35.4771i	0.262084	−	1.31759i
$726$	−37.6433	+	17.4059i	−1.39707	+	0.645994i
$727$	−24.1773	+	10.0146i	−0.896688	+	0.371420i	−0.782946	−	0.622090i	$-0.786284\pi$
$727$	−24.1773	+	10.0146i	−0.896688	+	0.371420i	−0.113742	+	0.993510i	$0.536284\pi$
$728$	−17.9841	−	0.956520i	−0.666534	−	0.0354510i
$729$	−26.9739	−	1.18645i	−0.999034	−	0.0439425i
$730$	−2.41786	−	2.50506i	−0.0894889	−	0.0927165i
$731$	−0.107829	+	0.0720489i	−0.00398819	+	0.00266482i
$732$	−26.8429	−	25.6512i	−0.992144	−	0.948094i
$733$	−5.50982	−	27.6997i	−0.203510	−	1.02311i	−0.938564	−	0.345105i	$-0.887843\pi$
$733$	−5.50982	−	27.6997i	−0.203510	−	1.02311i	0.735054	−	0.678008i	$-0.237157\pi$
$734$	14.3796	−	9.24400i	0.530761	−	0.341202i
$735$	1.46407	+	1.30305i	0.0540029	+	0.0480637i
$736$	11.9351	+	9.60434i	0.439932	+	0.354021i
$737$	61.1884			2.25390
$738$	−21.1440	+	17.3652i	−0.778321	+	0.639221i
$739$	−12.5987	+	2.50603i	−0.463450	+	0.0921859i	−0.421292	−	0.906925i	$-0.638423\pi$
$739$	−12.5987	+	2.50603i	−0.463450	+	0.0921859i	−0.0421580	+	0.999111i	$0.513423\pi$
$740$	3.58717	−	3.34162i	0.131867	−	0.122840i
$741$	−0.913779	+	6.56862i	−0.0335685	+	0.241304i
$742$	−2.15906	−	2.23693i	−0.0792615	−	0.0821202i
$743$	−4.82353	+	11.6450i	−0.176958	+	0.427214i	−0.987326	−	0.158707i	$-0.949267\pi$
$743$	−4.82353	+	11.6450i	−0.176958	+	0.427214i	0.810368	+	0.585922i	$0.199267\pi$
$744$	15.1945	−	6.38274i	0.557059	−	0.234003i
$745$	−1.15720	−	2.79372i	−0.0423964	−	0.102354i
$746$	−24.1889	−	10.5251i	−0.885618	−	0.385350i
$747$	−1.93878	+	24.1520i	−0.0709361	+	0.883677i
$748$	8.46963	−	1.37486i	0.309680	−	0.0502700i
$749$	7.91346	−	11.8433i	0.289151	−	0.432746i
$750$	−4.79427	−	2.93041i	−0.175062	−	0.107003i
$751$	23.1916	+	23.1916i	0.846275	+	0.846275i	0.989666	−	0.143391i	$-0.0458006\pi$
$751$	23.1916	+	23.1916i	0.846275	+	0.846275i	−0.143391	+	0.989666i	$0.545801\pi$
$752$	9.45835	+	0.671241i	0.344911	+	0.0244777i
$753$	−2.98372	−	51.2761i	−0.108733	−	1.86861i
$754$	−37.3865	−	25.9503i	−1.36154	−	0.945054i
$755$	−1.46120	+	2.18683i	−0.0531783	+	0.0795870i
$756$	10.0044	+	11.2243i	0.363856	+	0.408224i
$757$	−1.99398	+	10.0244i	−0.0724724	+	0.364343i	−0.999955	−	0.00952390i	$-0.996968\pi$
$757$	−1.99398	+	10.0244i	−0.0724724	+	0.364343i	0.927482	+	0.373867i	$0.121968\pi$
$758$	8.70437	+	22.1141i	0.316157	+	0.803221i
$759$	23.4154	+	8.14025i	0.849925	+	0.295472i
$760$	0.454451	+	0.339905i	0.0164847	+	0.0123297i
$761$	−12.9660	+	31.3026i	−0.470016	+	1.13472i	0.494140	+	0.869382i	$0.335483\pi$
$761$	−12.9660	+	31.3026i	−0.470016	+	1.13472i	−0.964156	+	0.265336i	$0.914517\pi$
$762$	21.5347	+	19.8609i	0.780119	+	0.719485i
$763$	−2.74165	+	1.83192i	−0.0992546	+	0.0663198i
$764$	9.94884	+	4.54017i	0.359936	+	0.164258i
$765$	0.172719	+	0.534415i	0.00624468	+	0.0193218i
$766$	−6.05485	+	27.8522i	−0.218771	+	1.00634i
$767$	−17.5756			−0.634620
$768$	17.2662	−	21.6767i	0.623040	−	0.782190i
$769$	23.0918			0.832712			0.416356	−	0.909202i	$-0.363307\pi$
$769$	23.0918			0.832712			0.416356	+	0.909202i	$0.363307\pi$
$770$	−0.529764	+	2.43690i	−0.0190914	+	0.0878198i
$771$	17.6627	−	30.0816i	0.636107	−	1.08336i
$772$	−0.607445	−	0.277209i	−0.0218624	−	0.00997697i
$773$	−4.55344	+	3.04251i	−0.163776	+	0.109432i	−0.634757	−	0.772712i	$-0.718900\pi$
$773$	−4.55344	+	3.04251i	−0.163776	+	0.109432i	0.470981	+	0.882143i	$0.343900\pi$
$774$	0.0666768	+	0.674489i	0.00239665	+	0.0242440i
$775$	6.36847	−	15.3749i	0.228762	−	0.552281i
$776$	−6.70885	−	5.01786i	−0.240834	−	0.180131i
$777$	−8.74632	+	25.1588i	−0.313773	+	0.902566i
$778$	17.9205	+	45.5285i	0.642482	+	1.63228i
$779$	1.09461	−	5.50299i	0.0392186	−	0.197165i
$780$	−2.87822	+	2.01914i	−0.103057	+	0.0722968i
$781$	21.4836	−	32.1525i	0.768745	−	1.15051i
$782$	−2.55406	−	1.77280i	−0.0913331	−	0.0633951i
$783$	6.59177	+	37.4192i	0.235571	+	1.33725i
$784$	−1.38939	+	19.5777i	−0.0496212	+	0.699204i
$785$	2.43949	+	2.43949i	0.0870690	+	0.0870690i
$786$	−17.0288	+	27.8598i	−0.607397	+	0.993727i
$787$	−7.03228	+	10.5245i	−0.250674	+	0.375160i	−0.935371	−	0.353668i	$-0.884934\pi$
$787$	−7.03228	+	10.5245i	−0.250674	+	0.375160i	0.684697	+	0.728827i	$0.259934\pi$
$788$	35.6503	−	5.78707i	1.26999	−	0.206156i
$789$	−10.2900	−	13.6155i	−0.366332	−	0.484725i
$790$	4.35603	+	1.89540i	0.154980	+	0.0674352i
$791$	−4.36093	−	10.5282i	−0.155057	−	0.374340i
$792$	14.5141	−	42.4309i	0.515738	−	1.50772i
$793$	−18.0510	+	43.5789i	−0.641009	+	1.54753i
$794$	−23.8559	−	24.7163i	−0.846613	−	0.877148i
$795$	−0.601138	−	0.0836260i	−0.0213202	−	0.00296591i
$796$	−10.2564	+	9.55430i	−0.363528	+	0.338643i
$797$	3.90187	−	0.776130i	0.138211	−	0.0274919i	−0.125500	−	0.992094i	$-0.540053\pi$
$797$	3.90187	−	0.776130i	0.138211	−	0.0274919i	0.263711	+	0.964602i	$0.415053\pi$
$798$	−3.04591	−	0.478861i	−0.107824	−	0.0169515i
$799$	−1.92435			−0.0680786
$800$	−3.01044	−	27.8210i	−0.106435	−	0.983621i
$801$	6.27385	+	53.7265i	0.221676	+	1.89833i
$802$	−8.73081	+	5.61265i	−0.308295	+	0.198189i
$803$	−11.0065	−	55.3332i	−0.388409	−	1.95267i
$804$	−27.7086	+	28.9960i	−0.977207	+	1.02261i
$805$	0.751317	−	0.502014i	0.0264805	−	0.0176937i
$806$	−14.5407	−	15.0651i	−0.512173	−	0.530646i
$807$	0.649252	+	1.34123i	0.0228547	+	0.0472137i
$808$	−2.47049	−	0.131398i	−0.0869114	−	0.00462256i
$809$	35.6034	−	14.7474i	1.25175	−	0.518491i	0.344382	−	0.938830i	$-0.388089\pi$
$809$	35.6034	−	14.7474i	1.25175	−	0.518491i	0.907367	+	0.420338i	$0.138089\pi$
$810$	2.88895	+	0.519485i	0.101508	+	0.0182529i
$811$	1.74820	−	8.78879i	0.0613876	−	0.308616i	−0.937877	−	0.346969i	$-0.887211\pi$
$811$	1.74820	−	8.78879i	0.0613876	−	0.308616i	0.999264	+	0.0383526i	$0.0122110\pi$
$812$	12.3709	−	17.1655i	0.434134	−	0.602391i
$813$	−47.3614	+	12.3193i	−1.66104	+	0.432056i
$814$	78.1780	−	14.1160i	2.74014	−	0.494765i
$815$	−0.830690	+	0.830690i	−0.0290978	+	0.0290978i
$816$	−3.18388	+	4.63619i	−0.111458	+	0.162299i
$817$	−0.0982803	−	0.0982803i	−0.00343839	−	0.00343839i
$818$	−3.92154	−	2.72198i	−0.137114	−	0.0951716i
$819$	8.69868	−	17.0064i	0.303957	−	0.594252i
$820$	2.53020	−	1.56392i	0.0883585	−	0.0546146i
$821$	−15.7729	−	3.13743i	−0.550479	−	0.109497i	−0.0879887	−	0.996121i	$-0.528044\pi$
$821$	−15.7729	−	3.13743i	−0.550479	−	0.109497i	−0.462490	+	0.886624i	$0.653044\pi$
$822$	−20.7097	−	7.61338i	−0.722335	−	0.265547i
$823$	14.1544	+	34.1718i	0.493392	+	1.19115i	0.952983	+	0.303023i	$0.0979961\pi$
$823$	14.1544	+	34.1718i	0.493392	+	1.19115i	−0.459591	+	0.888131i	$0.652004\pi$
$824$	−34.8249	+	20.6820i	−1.21318	+	0.720493i
$825$	−19.7299	−	40.7583i	−0.686906	−	1.41902i
$826$	0.144726	−	8.17007i	0.00503567	−	0.284273i
$827$	12.9577	+	19.3925i	0.450582	+	0.674344i	0.985328	−	0.170669i	$-0.0545928\pi$
$827$	12.9577	+	19.3925i	0.450582	+	0.674344i	−0.534746	+	0.845013i	$0.679593\pi$
$828$	−14.4610	+	7.40986i	−0.502553	+	0.257510i
$829$	−4.30112	+	0.855545i	−0.149384	+	0.0297143i	−0.269216	−	0.963080i	$-0.586764\pi$
$829$	−4.30112	+	0.855545i	−0.149384	+	0.0297143i	0.119832	+	0.992794i	$0.461764\pi$
$830$	0.559569	−	2.57400i	0.0194229	−	0.0893449i
$831$	−18.5115	−	16.4757i	−0.642158	−	0.571534i
$832$	−33.6075	−	10.4927i	−1.16513	−	0.363769i
$833$		−	3.98319i		−	0.138009i
$834$	29.0532	−	21.1591i	1.00603	−	0.732680i
$835$	−0.233178	−	1.17226i	−0.00806945	−	0.0405678i
$836$	3.21609	+	8.61543i	0.111231	+	0.297971i
$837$	−0.384159	+	17.4762i	−0.0132785	+	0.604066i
$838$	3.99361	+	0.0707436i	0.137957	+	0.00244380i
$839$	39.3376	+	16.2942i	1.35808	+	0.562537i	0.938532	−	0.345194i	$-0.112187\pi$
$839$	39.3376	+	16.2942i	1.35808	+	0.562537i	0.419553	+	0.907731i	$0.362187\pi$
$840$	−0.914901	−	1.35457i	−0.0315671	−	0.0467372i
$841$	22.6058	−	9.36365i	0.779512	−	0.322884i
$842$	−18.9511	−	48.1468i	−0.653099	−	1.65925i
$843$	13.7081	+	18.1384i	0.472133	+	0.624719i
$844$	42.9707	−	26.5603i	1.47911	−	0.914243i
$845$	1.22111	+	0.815920i	0.0420075	+	0.0280685i
$846$	−4.73779	+	8.87148i	−0.162889	+	0.305008i
$847$	−17.3214	+	17.3214i	−0.595171	+	0.595171i
$848$	−3.01041	−	5.27981i	−0.103378	−	0.181309i
$849$	1.77320	+	30.4730i	0.0608562	+	1.04583i
$850$	1.00911	+	5.58872i	0.0346122	+	0.191691i
$851$	−23.9337	−	15.9920i	−0.820437	−	0.548198i
$852$	5.50779	+	24.7407i	0.188694	+	0.847602i
$853$	−10.5964	−	2.10776i	−0.362815	−	0.0721685i	0.0103165	−	0.999947i	$-0.496716\pi$
$853$	−10.5964	−	2.10776i	−0.362815	−	0.0721685i	−0.373132	+	0.927778i	$0.621716\pi$
$854$	−20.1091	−	8.74988i	−0.688120	−	0.299415i
$855$	−0.525640	+	0.293295i	−0.0179765	+	0.0100305i
$856$	20.7080	−	18.6164i	0.707783	−	0.636296i
$857$	−22.7228	−	9.41209i	−0.776196	−	0.321511i	−0.0408168	−	0.999167i	$-0.512996\pi$
$857$	−22.7228	−	9.41209i	−0.776196	−	0.321511i	−0.735379	+	0.677656i	$0.762996\pi$
$858$	−56.9259	+	2.30171i	−1.94342	+	0.0785790i
$859$	15.0654	+	22.5470i	0.514025	+	0.769292i	0.994162	−	0.107901i	$-0.0344130\pi$
$859$	15.0654	+	22.5470i	0.514025	+	0.769292i	−0.480137	+	0.877194i	$0.659413\pi$
$860$	0.00260969	−	0.0736379i	8.89896e−5	−	0.00251103i
$861$	−8.18279	+	13.9362i	−0.278869	+	0.474945i
$862$	7.75099	+	12.0571i	0.264000	+	0.410667i
$863$			15.4623i			0.526343i	0.964749	+	0.263172i	$0.0847685\pi$
$863$			15.4623i			0.526343i	−0.964749	+	0.263172i	$0.915231\pi$
$864$	13.5346	+	26.0924i	0.460456	+	0.887683i
$865$			5.06326i			0.172156i
$866$	−22.4259	+	14.4166i	−0.762065	+	0.489897i
$867$	−14.3309	+	24.4072i	−0.486704	+	0.828912i
$868$	7.12278	−	6.63520i	0.241763	−	0.225213i
$869$	42.7678	+	64.0065i	1.45080	+	2.17127i
$870$	−0.166880	−	4.12727i	−0.00565775	−	0.139928i
$871$	47.0743	+	19.4988i	1.59505	+	0.660693i
$872$	−6.07806	+	2.14704i	−0.205829	+	0.0727080i
$873$	7.75977	−	4.32977i	0.262629	−	0.146541i
$874$	1.32946	−	3.05539i	0.0449697	−	0.103350i
$875$	−3.25509	−	0.647478i	−0.110042	−	0.0218888i
$876$	31.2055	+	19.8414i	1.05434	+	0.670379i
$877$	−6.18843	−	4.13497i	−0.208968	−	0.139628i	0.446682	−	0.894693i	$-0.352605\pi$
$877$	−6.18843	−	4.13497i	−0.208968	−	0.139628i	−0.655650	+	0.755065i	$0.727605\pi$
$878$	23.9708	−	4.32822i	0.808977	−	0.146070i
$879$	0.442419	+	7.60311i	0.0149224	+	0.256446i
$880$	−2.17985	+	4.36078i	−0.0734827	+	0.147002i
$881$	8.81151	−	8.81151i	0.296867	−	0.296867i	−0.542918	−	0.839786i	$-0.682681\pi$
$881$	8.81151	−	8.81151i	0.296867	−	0.296867i	0.839786	+	0.542918i	$0.182681\pi$
$882$	−18.3629	−	9.80669i	−0.618312	−	0.330208i
$883$	−31.0565	−	20.7513i	−1.04514	−	0.698337i	−0.0904336	−	0.995902i	$-0.528825\pi$
$883$	−31.0565	−	20.7513i	−1.04514	−	0.698337i	−0.954701	+	0.297566i	$0.903825\pi$
$884$	6.95411	+	1.64128i	0.233892	+	0.0552021i
$885$	−0.961811	−	1.27265i	−0.0323309	−	0.0427798i
$886$	33.6220	−	13.2340i	1.12955	−	0.444605i
$887$	−50.3950	+	20.8743i	−1.69210	+	0.700891i	−0.999786	−	0.0207058i	$-0.993409\pi$
$887$	−50.3950	+	20.8743i	−1.69210	+	0.700891i	−0.692314	+	0.721596i	$0.743409\pi$
$888$	−28.7129	+	43.4393i	−0.963543	+	1.45773i
$889$	15.9862	+	6.62171i	0.536161	+	0.222085i
$890$	0.104152	−	5.87961i	0.00349120	−	0.197085i
$891$	34.8269	+	32.3961i	1.16675	+	1.08531i
$892$	−12.2874	−	5.60737i	−0.411412	−	0.187749i
$893$	−0.402359	−	2.02279i	−0.0134644	−	0.0676902i
$894$	18.9082	+	25.9625i	0.632384	+	0.868316i
$895$		−	5.47207i		−	0.182911i
$896$	5.15430	−	15.5361i	0.172193	−	0.519026i
$897$	15.4202	+	13.7243i	0.514867	+	0.458242i
$898$	10.3381	+	2.24742i	0.344986	+	0.0749974i
$899$	24.1264	−	4.79904i	0.804660	−	0.160057i
$900$	28.2491	+	9.10743i	0.941636	+	0.303581i
$901$	0.685266	+	1.02557i	0.0228295	+	0.0341668i
$902$	48.1931	+	0.853702i	1.60466	+	0.0284252i
$903$	0.174428	+	0.360337i	0.00580461	+	0.0119913i
$904$	−3.17957	−	22.0497i	−0.105751	−	0.733363i
$905$	−0.713139	−	1.72167i	−0.0237056	−	0.0572303i
$906$	9.63892	−	26.2196i	0.320232	−	0.871087i
$907$	−4.17362	−	0.830185i	−0.138583	−	0.0275658i	0.125311	−	0.992117i	$-0.460007\pi$
$907$	−4.17362	−	0.830185i	−0.138583	−	0.0275658i	−0.263894	+	0.964552i	$0.585007\pi$
$908$	−6.76381	+	28.6583i	−0.224465	+	0.951060i
$909$	1.19494	−	2.33618i	0.0396338	−	0.0774863i
$910$	−1.18413	+	1.70597i	−0.0392535	+	0.0565524i
$911$	36.1859	+	36.1859i	1.19889	+	1.19889i	0.974499	+	0.224393i	$0.0720401\pi$
$911$	36.1859	+	36.1859i	1.19889	+	1.19889i	0.224393	+	0.974499i	$0.427960\pi$
$912$	−5.53907	−	2.37738i	−0.183417	−	0.0787229i
$913$	30.1826	−	30.1826i	0.998899	−	0.998899i
$914$	−6.34898	−	35.1623i	−0.210005	−	1.16307i
$915$	−4.14338	+	1.07774i	−0.136976	+	0.0356291i
$916$	−44.0024	+	7.14285i	−1.45388	+	0.236006i
$917$	−3.76254	+	18.9156i	−0.124250	+	0.624647i
$918$	−3.11474	−	5.08759i	−0.102802	−	0.167916i
$919$	−38.6253	+	15.9991i	−1.27413	+	0.527762i	−0.914218	−	0.405223i	$-0.867194\pi$
$919$	−38.6253	+	15.9991i	−1.27413	+	0.527762i	−0.359913	+	0.932986i	$0.617194\pi$
$920$	1.66562	−	0.588371i	0.0549139	−	0.0193980i
$921$	8.51682	+	17.5942i	0.280639	+	0.579748i
$922$	33.3576	−	32.1963i	1.09857	−	1.06033i
$923$	26.7741	−	17.8899i	0.881281	−	0.588853i
$924$	−0.601199	−	26.4811i	−0.0197780	−	0.871163i
$925$	10.2578	+	51.5693i	0.337274	+	1.69559i
$926$	9.59355	+	14.9233i	0.315264	+	0.490411i
$927$	−4.98279	−	42.6704i	−0.163656	−	1.40148i
$928$	31.7211	−	26.5473i	1.04130	−	0.871457i
$929$	−2.93791			−0.0963897			−0.0481949	−	0.998838i	$-0.515347\pi$
$929$	−2.93791			−0.0963897			−0.0481949	+	0.998838i	$0.515347\pi$
$930$	0.295141	−	1.87732i	0.00967806	−	0.0615596i
$931$	4.18695	−	0.832836i	0.137222	−	0.0272951i
$932$	−31.3716	−	1.11179i	−1.02761	−	0.0364180i
$933$	−26.8603	−	3.73661i	−0.879367	−	0.122331i
$934$	−16.4647	+	15.8915i	−0.538742	+	0.519987i
$935$	0.378630	−	0.914094i	0.0123825	−	0.0298941i
$936$	24.6876	−	28.0184i	0.806941	−	0.915809i
$937$	4.20521	+	10.1523i	0.137378	+	0.331660i	0.977564	−	0.210638i	$-0.0675542\pi$
$937$	4.20521	+	10.1523i	0.137378	+	0.331660i	−0.840186	+	0.542298i	$0.817554\pi$
$938$	−9.45170	+	21.7220i	−0.308609	+	0.709249i
$939$	−11.2359	−	14.8671i	−0.366669	−	0.485171i
$940$	0.639264	−	0.887025i	0.0208505	−	0.0289316i
$941$	21.0043	−	31.4352i	0.684721	−	1.02476i	−0.312476	−	0.949926i	$-0.601158\pi$
$941$	21.0043	−	31.4352i	0.684721	−	1.02476i	0.997196	−	0.0748312i	$-0.0238418\pi$
$942$	−31.2655	−	19.1104i	−1.01868	−	0.622652i
$943$	−12.3495	−	12.3495i	−0.402156	−	0.402156i
$944$	4.21775	−	15.4076i	0.137276	−	0.501475i
$945$	1.70746	−	0.300787i	0.0555438	−	0.00978460i
$946$	0.680839	−	0.980882i	0.0221360	−	0.0318912i
$947$	16.1294	−	24.1394i	0.524137	−	0.784426i	−0.471083	−	0.882089i	$-0.656137\pi$
$947$	16.1294	−	24.1394i	0.524137	−	0.784426i	0.995220	+	0.0976631i	$0.0311368\pi$
$948$	−49.6984	−	8.71796i	−1.61413	−	0.283146i
$949$	9.16532	−	46.0772i	0.297519	−	1.49573i
$950$	−5.66362	+	2.22926i	−0.183752	+	0.0723269i
$951$	15.2269	−	43.8001i	0.493766	−	1.42032i
$952$	−0.820215	+	3.21912i	−0.0265833	+	0.104332i
$953$	2.83706	−	6.84926i	0.0919012	−	0.221869i	−0.871245	−	0.490849i	$-0.836687\pi$
$953$	2.83706	−	6.84926i	0.0919012	−	0.221869i	0.963146	+	0.268980i	$0.0866866\pi$
$954$	6.41515	−	0.634171i	0.207698	−	0.0205321i
$955$	1.04848	−	0.700575i	0.0339281	−	0.0226701i
$956$	6.22406	−	2.32341i	0.201300	−	0.0751443i
$957$	33.8913	−	57.7207i	1.09555	−	1.86585i
$958$	−22.8913	−	4.97640i	−0.739585	−	0.160780i
$959$	−13.0328			−0.420851
$960$	−1.07936	−	3.00773i	−0.0348363	−	0.0970741i
$961$	−19.6828			−0.634928
$962$	64.6434	+	14.0530i	2.08419	+	0.453087i
$963$	9.08291	+	28.1036i	0.292693	+	0.905627i
$964$	−0.730265	−	1.95627i	−0.0235203	−	0.0630073i
$965$	−0.0640172	+	0.0427749i	−0.00206079	+	0.00137697i
$966$	−6.50676	+	7.05511i	−0.209352	+	0.226995i
$967$	1.40336	−	3.38801i	0.0451290	−	0.108951i	−0.899708	−	0.436493i	$-0.856220\pi$
$967$	1.40336	−	3.38801i	0.0451290	−	0.108951i	0.944837	+	0.327542i	$0.106220\pi$
$968$	−41.1747	+	24.4531i	−1.32341	+	0.785952i
$969$	1.15546	+	0.401690i	0.0371187	+	0.0129041i
$970$	−0.898909	+	0.353821i	−0.0288622	+	0.0113605i
$971$	−6.93570	+	34.8681i	−0.222577	+	1.11897i	0.694264	+	0.719720i	$0.255730\pi$
$971$	−6.93570	+	34.8681i	−0.222577	+	1.11897i	−0.916842	+	0.399251i	$0.869270\pi$
$972$	−31.1230	+	1.83353i	−0.998269	+	0.0588106i
$973$	11.7943	−	17.6514i	0.378108	−	0.565879i
$974$	16.2754	−	23.4479i	0.521496	−	0.751318i
$975$	−2.19048	−	37.6441i	−0.0701516	−	1.20558i
$976$	−33.8715	−	26.2823i	−1.08420	−	0.841275i
$977$	−13.6564	−	13.6564i	−0.436906	−	0.436906i	0.454064	−	0.890969i	$-0.349974\pi$
$977$	−13.6564	−	13.6564i	−0.436906	−	0.436906i	−0.890969	+	0.454064i	$0.849974\pi$
$978$	6.50746	−	10.6465i	0.208086	−	0.340437i
$979$	52.9409	−	79.2317i	1.69200	−	2.53226i
$980$	1.83604	+	1.32320i	0.0586501	+	0.0422682i
$981$	0.547085	−	6.81523i	0.0174671	−	0.217594i
$982$	−0.728153	+	1.67345i	−0.0232363	+	0.0534020i
$983$	19.1179	+	46.1547i	0.609767	+	1.47211i	0.863254	+	0.504769i	$0.168422\pi$
$983$	19.1179	+	46.1547i	0.609767	+	1.47211i	−0.253487	+	0.967339i	$0.581578\pi$
$984$	−22.2284	+	22.4512i	−0.708615	+	0.715718i
$985$	1.59373	−	3.84760i	0.0507804	−	0.122595i
$986$	−6.04010	+	5.82983i	−0.192356	+	0.185660i
$987$	−0.818511	+	5.88379i	−0.0260535	+	0.187283i
$988$	−0.271219	+	7.65302i	−0.00862863	+	0.243475i
$989$	−0.424322	+	0.0844030i	−0.0134927	+	0.00268386i
$990$	−3.28188	−	3.99605i	−0.104305	−	0.127003i
$991$	5.28427			0.167861			0.0839303	−	0.996472i	$-0.473253\pi$
$991$	5.28427			0.167861			0.0839303	+	0.996472i	$0.473253\pi$
$992$	16.6962	−	9.13173i	0.530105	−	0.289933i
$993$	7.06440	+	6.28747i	0.224182	+	0.199527i
$994$	8.09568	+	12.5933i	0.256779	+	0.399436i
$995$	0.315323	+	1.58524i	0.00999641	+	0.0502554i
$996$	0.635022	+	27.9709i	0.0201215	+	0.886291i
$997$	14.1500	−	9.45474i	0.448135	−	0.299434i	−0.310949	−	0.950427i	$-0.600647\pi$
$997$	14.1500	−	9.45474i	0.448135	−	0.299434i	0.759085	+	0.650992i	$0.225647\pi$
$998$	18.4287	−	17.7871i	0.583349	−	0.563042i
$999$	−29.6674	−	46.5852i	−0.938636	−	1.47389i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.11.13	✓	240
3.2	odd	2	inner	192.2.s.a.11.18	yes	240
4.3	odd	2		768.2.s.a.719.26		240
12.11	even	2		768.2.s.a.719.8		240
64.29	even	16		768.2.s.a.47.8		240
64.35	odd	16	inner	192.2.s.a.35.18	yes	240
192.29	odd	16		768.2.s.a.47.26		240
192.35	even	16	inner	192.2.s.a.35.13	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.11.13	✓	240	1.1	even	1	trivial
192.2.s.a.11.18	yes	240	3.2	odd	2	inner
192.2.s.a.35.13	yes	240	192.35	even	16	inner
192.2.s.a.35.18	yes	240	64.35	odd	16	inner
768.2.s.a.47.8		240	64.29	even	16
768.2.s.a.47.26		240	192.29	odd	16
768.2.s.a.719.8		240	12.11	even	2
768.2.s.a.719.26		240	4.3	odd	2

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.300423 + 1.38194i) q^{2} +(-1.49362 - 0.876991i) q^{3} +(-1.81949 - 0.830329i) q^{4} +(-0.191752 + 0.128125i) q^{5} +(1.66066 - 1.80061i) q^{6} +(0.553671 - 1.33668i) q^{7} +(1.69408 - 2.26497i) q^{8} +(1.46177 + 2.61977i) q^{9} +O(q^{10})\)	\(q+(-0.300423 + 1.38194i) q^{2} +(-1.49362 - 0.876991i) q^{3} +(-1.81949 - 0.830329i) q^{4} +(-0.191752 + 0.128125i) q^{5} +(1.66066 - 1.80061i) q^{6} +(0.553671 - 1.33668i) q^{7} +(1.69408 - 2.26497i) q^{8} +(1.46177 + 2.61977i) q^{9} +(-0.119453 - 0.303480i) q^{10} +(1.03105 - 5.18344i) q^{11} +(1.98943 + 2.83587i) q^{12} +(2.44503 - 3.65924i) q^{13} +(1.68087 + 1.16671i) q^{14} +(0.398768 - 0.0232040i) q^{15} +(2.62111 + 3.02156i) q^{16} +(-0.574015 - 0.574015i) q^{17} +(-4.05951 + 1.23304i) q^{18} +(0.483359 - 0.723398i) q^{19} +(0.455277 - 0.0739044i) q^{20} +(-1.99923 + 1.51092i) q^{21} +(6.85343 + 2.98207i) q^{22} +(-1.03636 - 2.50200i) q^{23} +(-4.51666 + 1.89731i) q^{24} +(-1.89306 + 4.57026i) q^{25} +(4.32229 + 4.47819i) q^{26} +(0.114193 - 5.19490i) q^{27} +(-2.11729 + 1.97235i) q^{28} +(-7.17171 + 1.42654i) q^{29} +(-0.0877323 + 0.558042i) q^{30} -3.36411 q^{31} +(-4.96304 + 2.71446i) q^{32} +(-6.08583 + 6.83785i) q^{33} +(0.965698 - 0.620804i) q^{34} +(0.0650940 + 0.327250i) q^{35} +(-0.484409 - 5.98041i) q^{36} +(8.83768 - 5.90515i) q^{37} +(0.854478 + 0.885297i) q^{38} +(-6.86105 + 3.32123i) q^{39} +(-0.0346442 + 0.651366i) q^{40} +(5.95812 - 2.46793i) q^{41} +(-1.48738 - 3.21672i) q^{42} +(0.0311664 - 0.156684i) q^{43} +(-6.17995 + 8.57512i) q^{44} +(-0.615955 - 0.315058i) q^{45} +(3.76895 - 0.680528i) q^{46} +(1.67622 - 1.67622i) q^{47} +(-1.26505 - 6.81173i) q^{48} +(3.46959 + 3.46959i) q^{49} +(-5.74709 - 3.98910i) q^{50} +(0.353951 + 1.36076i) q^{51} +(-7.48708 + 4.62778i) q^{52} +(-1.49024 - 0.296427i) q^{53} +(7.14471 + 1.71847i) q^{54} +(0.466420 + 1.12604i) q^{55} +(-2.08958 - 3.51849i) q^{56} +(-1.35637 + 0.656577i) q^{57} +(0.183154 - 10.3394i) q^{58} +(-2.21874 - 3.32057i) q^{59} +(-0.744822 - 0.288889i) q^{60} +(-10.5121 + 2.09099i) q^{61} +(1.01065 - 4.64898i) q^{62} +(4.31114 - 0.503429i) q^{63} +(-2.26020 - 7.67408i) q^{64} +1.01493i q^{65} +(-7.62114 - 10.4645i) q^{66} +(2.25871 + 11.3553i) q^{67} +(0.567794 + 1.52104i) q^{68} +(-0.646305 + 4.64590i) q^{69} +(-0.471794 - 0.00835745i) q^{70} +(6.75989 + 2.80004i) q^{71} +(8.41007 + 1.12723i) q^{72} +(9.86240 - 4.08514i) q^{73} +(5.50550 + 13.9871i) q^{74} +(6.83559 - 5.16601i) q^{75} +(-1.48013 + 0.914871i) q^{76} +(-6.35774 - 4.24811i) q^{77} +(-2.52851 - 10.4793i) q^{78} +(-10.2996 + 10.2996i) q^{79} +(-0.889738 - 0.243561i) q^{80} +(-4.72644 + 7.65903i) q^{81} +(1.62057 + 8.97516i) q^{82} +(6.71543 + 4.48711i) q^{83} +(4.89214 - 1.08909i) q^{84} +(0.183614 + 0.0365230i) q^{85} +(0.207164 + 0.0901413i) q^{86} +(11.9628 + 4.15882i) q^{87} +(-9.99367 - 11.1165i) q^{88} +(16.6580 + 6.89998i) q^{89} +(0.620437 - 0.756560i) q^{90} +(-3.53749 - 5.29423i) q^{91} +(-0.191830 + 5.41289i) q^{92} +(5.02468 + 2.95029i) q^{93} +(1.81286 + 2.82000i) q^{94} +0.200643i q^{95} +(9.79342 + 0.298183i) q^{96} -2.96200i q^{97} +(-5.83709 + 3.75240i) q^{98} +(15.0866 - 4.87589i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Introduction

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