LMFDB - Embedded newform 572.2.bn.a.95.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("572.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			95.3
Character	$\chi$	$=$	572.95
Dual form			572.2.bn.a.283.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41125 - 0.0914616i) q^{2} +(2.42998 - 2.18797i) q^{3} +(1.98327 + 0.258151i) q^{4} +(-2.46392 - 3.39130i) q^{5} +(-3.62944 + 2.86552i) q^{6} +(-1.52478 - 1.37292i) q^{7} +(-2.77528 - 0.545709i) q^{8} +(0.804035 - 7.64988i) q^{9} +O(q^{10})$	\(q+(-1.41125 - 0.0914616i) q^{2} +(2.42998 - 2.18797i) q^{3} +(1.98327 + 0.258151i) q^{4} +(-2.46392 - 3.39130i) q^{5} +(-3.62944 + 2.86552i) q^{6} +(-1.52478 - 1.37292i) q^{7} +(-2.77528 - 0.545709i) q^{8} +(0.804035 - 7.64988i) q^{9} +(3.16704 + 5.01133i) q^{10} +(3.06336 + 1.27115i) q^{11} +(5.38414 - 3.71203i) q^{12} +(1.13246 + 3.42309i) q^{13} +(2.02628 + 2.07699i) q^{14} +(-13.4073 - 2.84982i) q^{15} +(3.86672 + 1.02397i) q^{16} +(1.14715 - 2.57654i) q^{17} +(-1.83437 + 10.7224i) q^{18} +(0.193086 + 0.908397i) q^{19} +(-4.01115 - 7.36192i) q^{20} -6.70908 q^{21} +(-4.20692 - 2.07409i) q^{22} +(0.493187 + 0.284742i) q^{23} +(-7.93789 + 4.74616i) q^{24} +(-3.88490 + 11.9565i) q^{25} +(-1.28511 - 4.93442i) q^{26} +(-9.01795 - 12.4121i) q^{27} +(-2.66962 - 3.11648i) q^{28} +(0.465790 - 2.19137i) q^{29} +(18.6605 + 5.24807i) q^{30} +(-1.24570 - 0.905052i) q^{31} +(-5.36326 - 1.79873i) q^{32} +(10.2251 - 3.61366i) q^{33} +(-1.85457 + 3.53122i) q^{34} +(-0.899033 + 8.55372i) q^{35} +(3.56944 - 14.9642i) q^{36} +(-0.799958 + 3.76350i) q^{37} +(-0.189409 - 1.29964i) q^{38} +(10.2415 + 5.84025i) q^{39} +(4.98742 + 10.7564i) q^{40} +(3.90006 + 4.33145i) q^{41} +(9.46820 + 0.613623i) q^{42} +(2.20619 + 3.82124i) q^{43} +(5.74732 + 3.31184i) q^{44} +(-27.9241 + 16.1220i) q^{45} +(-0.669969 - 0.446950i) q^{46} +(1.46330 - 4.50357i) q^{47} +(11.6365 - 5.97203i) q^{48} +(-0.291651 - 2.77487i) q^{49} +(6.57613 - 16.5183i) q^{50} +(-2.84982 - 8.77086i) q^{51} +(1.36231 + 7.08125i) q^{52} +(1.19101 + 0.865317i) q^{53} +(11.5914 + 18.3415i) q^{54} +(-3.23703 - 13.5208i) q^{55} +(3.48248 + 4.64232i) q^{56} +(2.45674 + 1.78492i) q^{57} +(-0.857773 + 3.04997i) q^{58} +(1.79843 - 1.99736i) q^{59} +(-25.8547 - 9.11307i) q^{60} +(-3.10169 + 6.96650i) q^{61} +(1.67522 + 1.39119i) q^{62} +(-11.7286 + 10.5605i) q^{63} +(7.40440 + 3.02900i) q^{64} +(8.81840 - 12.2747i) q^{65} +(-14.7608 + 4.16458i) q^{66} +(4.41888 - 7.65373i) q^{67} +(2.94024 - 4.81383i) q^{68} +(1.82144 - 0.387159i) q^{69} +(2.05110 - 11.9892i) q^{70} +(-5.90432 - 2.62877i) q^{71} +(-6.40603 + 20.7918i) q^{72} +(-0.467484 - 1.43877i) q^{73} +(1.47316 - 5.23809i) q^{74} +(16.7202 + 37.5541i) q^{75} +(0.148438 + 1.85144i) q^{76} +(-2.92576 - 6.14395i) q^{77} +(-13.9191 - 9.17877i) q^{78} +(-4.59285 - 3.33690i) q^{79} +(-6.05471 - 15.6361i) q^{80} +(-26.4990 - 5.63255i) q^{81} +(-5.10781 - 6.46948i) q^{82} +(-9.90426 - 13.6320i) q^{83} +(-13.3059 - 1.73195i) q^{84} +(-11.5643 + 2.45806i) q^{85} +(-2.76400 - 5.59451i) q^{86} +(-3.66278 - 6.34412i) q^{87} +(-7.80802 - 5.19950i) q^{88} +(10.8266 + 6.25072i) q^{89} +(40.8825 - 20.1982i) q^{90} +(2.97285 - 6.77422i) q^{91} +(0.904617 + 0.692036i) q^{92} +(-5.00725 + 0.526283i) q^{93} +(-2.47699 + 6.22184i) q^{94} +(2.60489 - 2.89303i) q^{95} +(-16.9682 + 7.36375i) q^{96} +(13.4704 + 1.41580i) q^{97} +(0.157799 + 3.94272i) q^{98} +(12.1872 - 22.4123i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9}+O(q^{10}) $ 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9	$ 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9} - 4 q^{12} - 20 q^{13} - 12 q^{14} - 19 q^{16} - 10 q^{17} - 45 q^{20} - 15 q^{22} - 15 q^{24} + 104 q^{25} - 20 q^{26} - 15 q^{28} - 10 q^{29} + 45 q^{30} - 24 q^{33} + 4 q^{36} - 18 q^{37} - 14 q^{38} - 20 q^{40} - 30 q^{41} - 13 q^{42} - 108 q^{45} - 15 q^{46} + 35 q^{48} - 74 q^{49} - 90 q^{50} + 15 q^{52} - 8 q^{53} + 50 q^{56} + 27 q^{58} - 10 q^{61} - 5 q^{62} - 84 q^{64} - 146 q^{66} - 70 q^{68} - 26 q^{69} - 15 q^{72} - 55 q^{74} + 44 q^{77} + 24 q^{78} - 39 q^{80} + 30 q^{81} - 29 q^{82} + 30 q^{84} - 30 q^{85} - 75 q^{88} - 24 q^{89} + 30 q^{90} + 14 q^{92} + 66 q^{93} - 5 q^{94} - 30 q^{97}+O(q^{100}) $ 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9 - 4 * q^12 - 20 * q^13 - 12 * q^14 - 19 * q^16 - 10 * q^17 - 45 * q^20 - 15 * q^22 - 15 * q^24 + 104 * q^25 - 20 * q^26 - 15 * q^28 - 10 * q^29 + 45 * q^30 - 24 * q^33 + 4 * q^36 - 18 * q^37 - 14 * q^38 - 20 * q^40 - 30 * q^41 - 13 * q^42 - 108 * q^45 - 15 * q^46 + 35 * q^48 - 74 * q^49 - 90 * q^50 + 15 * q^52 - 8 * q^53 + 50 * q^56 + 27 * q^58 - 10 * q^61 - 5 * q^62 - 84 * q^64 - 146 * q^66 - 70 * q^68 - 26 * q^69 - 15 * q^72 - 55 * q^74 + 44 * q^77 + 24 * q^78 - 39 * q^80 + 30 * q^81 - 29 * q^82 + 30 * q^84 - 30 * q^85 - 75 * q^88 - 24 * q^89 + 30 * q^90 + 14 * q^92 + 66 * q^93 - 5 * q^94 - 30 * q^97

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.41125	−	0.0914616i	−0.997907	−	0.0646731i
$2$	−1.41125	−	0.0914616i	−0.997907	−	0.0646731i
$3$	2.42998	−	2.18797i	1.40295	−	1.26322i	0.480563	−	0.876960i	$-0.340433\pi$
$3$	2.42998	−	2.18797i	1.40295	−	1.26322i	0.922389	−	0.386263i	$-0.126234\pi$
$4$	1.98327	+	0.258151i	0.991635	+	0.129075i
$5$	−2.46392	−	3.39130i	−1.10190	−	1.51663i	−0.832843	−	0.553509i	$-0.813288\pi$
$5$	−2.46392	−	3.39130i	−1.10190	−	1.51663i	−0.269055	−	0.963125i	$-0.586712\pi$
$6$	−3.62944	+	2.86552i	−1.48171	+	1.16985i
$7$	−1.52478	−	1.37292i	−0.576312	−	0.518913i	0.328625	−	0.944461i	$-0.393415\pi$
$7$	−1.52478	−	1.37292i	−0.576312	−	0.518913i	−0.904936	+	0.425547i	$0.860082\pi$
$8$	−2.77528	−	0.545709i	−0.981211	−	0.192937i
$9$	0.804035	−	7.64988i	0.268012	−	2.54996i
$10$	3.16704	+	5.01133i	1.00151	+	1.58472i
$11$	3.06336	+	1.27115i	0.923638	+	0.383266i
$11$	3.06336	+	1.27115i	0.923638	+	0.383266i
$12$	5.38414	−	3.71203i	1.55427	−	1.07157i
$13$	1.13246	+	3.42309i	0.314089	+	0.949394i
$13$	1.13246	+	3.42309i	0.314089	+	0.949394i
$14$	2.02628	+	2.07699i	0.541545	+	0.555099i
$15$	−13.4073	−	2.84982i	−3.46176	−	0.735819i
$16$	3.86672	+	1.02397i	0.966679	+	0.255991i
$17$	1.14715	−	2.57654i	0.278224	−	0.624902i	−0.719340	−	0.694658i	$-0.755556\pi$
$17$	1.14715	−	2.57654i	0.278224	−	0.624902i	0.997564	+	0.0697567i	$0.0222223\pi$
$18$	−1.83437	+	10.7224i	−0.432364	+	2.52729i
$19$	0.193086	+	0.908397i	0.0442969	+	0.208401i	0.994730	−	0.102528i	$-0.0326932\pi$
$19$	0.193086	+	0.908397i	0.0442969	+	0.208401i	−0.950433	+	0.310929i	$0.899360\pi$
$20$	−4.01115	−	7.36192i	−0.896921	−	1.64617i
$21$	−6.70908			−1.46404
$22$	−4.20692	−	2.07409i	−0.896917	−	0.442198i
$23$	0.493187	+	0.284742i	0.102837	+	0.0593728i	0.550536	−	0.834811i	$-0.314423\pi$
$23$	0.493187	+	0.284742i	0.102837	+	0.0593728i	−0.447700	+	0.894184i	$0.647757\pi$
$24$	−7.93789	+	4.74616i	−1.62031	+	0.968807i
$25$	−3.88490	+	11.9565i	−0.776979	+	2.39130i
$26$	−1.28511	−	4.93442i	−0.252031	−	0.967719i
$27$	−9.01795	−	12.4121i	−1.73551	−	2.38872i
$28$	−2.66962	−	3.11648i	−0.504512	−	0.588960i
$29$	0.465790	−	2.19137i	0.0864950	−	0.406927i	−0.913505	−	0.406827i	$-0.866635\pi$
$29$	0.465790	−	2.19137i	0.0864950	−	0.406927i	1.00000		9.93518e-5i	$-3.16247e-5\pi$
$30$	18.6605	+	5.24807i	3.40692	+	0.958161i
$31$	−1.24570	−	0.905052i	−0.223734	−	0.162552i	0.470272	−	0.882522i	$-0.344156\pi$
$31$	−1.24570	−	0.905052i	−0.223734	−	0.162552i	−0.694006	+	0.719969i	$0.744156\pi$
$32$	−5.36326	−	1.79873i	−0.948100	−	0.317974i
$33$	10.2251	−	3.61366i	1.77997	−	0.629057i
$34$	−1.85457	+	3.53122i	−0.318056	+	0.605600i
$35$	−0.899033	+	8.55372i	−0.151964	+	1.44584i
$36$	3.56944	−	14.9642i	0.594907	−	2.49403i
$37$	−0.799958	+	3.76350i	−0.131512	+	0.618716i	0.862183	+	0.506598i	$0.169097\pi$
$37$	−0.799958	+	3.76350i	−0.131512	+	0.618716i	−0.993695	+	0.112119i	$0.964236\pi$
$38$	−0.189409	−	1.29964i	−0.0307263	−	0.210829i
$39$	10.2415	+	5.84025i	1.63995	+	0.935189i
$40$	4.98742	+	10.7564i	0.788580	+	1.70074i
$41$	3.90006	+	4.33145i	0.609087	+	0.676460i	0.966257	−	0.257580i	$-0.0829250\pi$
$41$	3.90006	+	4.33145i	0.609087	+	0.676460i	−0.357170	+	0.934039i	$0.616258\pi$
$42$	9.46820	+	0.613623i	1.46098	+	0.0946840i
$43$	2.20619	+	3.82124i	0.336441	+	0.582733i	0.983761	−	0.179486i	$-0.0574434\pi$
$43$	2.20619	+	3.82124i	0.336441	+	0.582733i	−0.647320	+	0.762219i	$0.724110\pi$
$44$	5.74732	+	3.31184i	0.866441	+	0.499279i
$45$	−27.9241	+	16.1220i	−4.16268	+	2.40332i
$46$	−0.669969	−	0.446950i	−0.0987815	−	0.0658992i
$47$	1.46330	−	4.50357i	0.213444	−	0.656913i	−0.785816	−	0.618460i	$-0.787757\pi$
$47$	1.46330	−	4.50357i	0.213444	−	0.656913i	0.999260	−	0.0384535i	$-0.0122431\pi$
$48$	11.6365	−	5.97203i	1.67958	−	0.861988i
$49$	−0.291651	−	2.77487i	−0.0416644	−	0.396410i
$50$	6.57613	−	16.5183i	0.930005	−	2.33604i
$51$	−2.84982	−	8.77086i	−0.399055	−	1.22817i
$52$	1.36231	+	7.08125i	0.188918	+	0.981993i
$53$	1.19101	+	0.865317i	0.163597	+	0.118860i	0.666572	−	0.745441i	$-0.267761\pi$
$53$	1.19101	+	0.865317i	0.163597	+	0.118860i	−0.502974	+	0.864301i	$0.667761\pi$
$54$	11.5914	+	18.3415i	1.57739	+	2.49596i
$55$	−3.23703	−	13.5208i	−0.436482	−	1.82314i
$56$	3.48248	+	4.64232i	0.465366	+	0.620355i
$57$	2.45674	+	1.78492i	0.325403	+	0.236419i
$58$	−0.857773	+	3.04997i	−0.112631	+	0.400481i
$59$	1.79843	−	1.99736i	0.234136	−	0.260035i	−0.614615	−	0.788827i	$-0.710688\pi$
$59$	1.79843	−	1.99736i	0.234136	−	0.260035i	0.848751	+	0.528793i	$0.177355\pi$
$60$	−25.8547	−	9.11307i	−3.33782	−	1.17649i
$61$	−3.10169	+	6.96650i	−0.397130	+	0.891970i	0.598719	+	0.800959i	$0.295676\pi$
$61$	−3.10169	+	6.96650i	−0.397130	+	0.891970i	−0.995850	+	0.0910108i	$0.970990\pi$
$62$	1.67522	+	1.39119i	0.212753	+	0.176681i
$63$	−11.7286	+	10.5605i	−1.47767	+	1.33050i
$64$	7.40440	+	3.02900i	0.925550	+	0.378625i
$65$	8.81840	−	12.2747i	1.09379	−	1.52249i
$66$	−14.7608	+	4.16458i	−1.81693	+	0.512624i
$67$	4.41888	−	7.65373i	0.539853	−	0.935052i	−0.459059	−	0.888406i	$-0.651813\pi$
$67$	4.41888	−	7.65373i	0.539853	−	0.935052i	0.998911	−	0.0466463i	$-0.0148534\pi$
$68$	2.94024	−	4.81383i	0.356556	−	0.583762i
$69$	1.82144	−	0.387159i	0.219276	−	0.0466085i
$70$	2.05110	−	11.9892i	0.245153	−	1.43299i
$71$	−5.90432	−	2.62877i	−0.700714	−	0.311978i	0.0252787	−	0.999680i	$-0.491953\pi$
$71$	−5.90432	−	2.62877i	−0.700714	−	0.311978i	−0.725993	+	0.687702i	$0.758619\pi$
$72$	−6.40603	+	20.7918i	−0.754958	+	2.45034i
$73$	−0.467484	−	1.43877i	−0.0547149	−	0.168395i	0.919965	−	0.392001i	$-0.128217\pi$
$73$	−0.467484	−	1.43877i	−0.0547149	−	0.168395i	−0.974680	+	0.223606i	$0.928217\pi$
$74$	1.47316	−	5.23809i	0.171251	−	0.608916i
$75$	16.7202	+	37.5541i	1.93068	+	4.33637i
$76$	0.148438	+	1.85144i	0.0170270	+	0.212375i
$77$	−2.92576	−	6.14395i	−0.333421	−	0.700169i
$78$	−13.9191	−	9.17877i	−1.57603	−	1.03929i
$79$	−4.59285	−	3.33690i	−0.516736	−	0.375430i	0.298637	−	0.954367i	$-0.403468\pi$
$79$	−4.59285	−	3.33690i	−0.516736	−	0.375430i	−0.815373	+	0.578936i	$0.803468\pi$
$80$	−6.05471	−	15.6361i	−0.676937	−	1.74817i
$81$	−26.4990	−	5.63255i	−2.94434	−	0.625839i
$82$	−5.10781	−	6.46948i	−0.564063	−	0.714435i
$83$	−9.90426	−	13.6320i	−1.08713	−	1.49631i	−0.851417	−	0.524489i	$-0.824256\pi$
$83$	−9.90426	−	13.6320i	−1.08713	−	1.49631i	−0.235717	−	0.971822i	$-0.575744\pi$
$84$	−13.3059	−	1.73195i	−1.45179	−	0.188972i
$85$	−11.5643	+	2.45806i	−1.25432	+	0.266614i
$86$	−2.76400	−	5.59451i	−0.298050	−	0.603272i
$87$	−3.66278	−	6.34412i	−0.392691	−	0.680161i
$88$	−7.80802	−	5.19950i	−0.832338	−	0.554269i
$89$	10.8266	+	6.25072i	1.14761	+	0.662575i	0.948304	−	0.317362i	$-0.102797\pi$
$89$	10.8266	+	6.25072i	1.14761	+	0.662575i	0.199308	+	0.979937i	$0.436130\pi$
$90$	40.8825	−	20.1982i	4.30939	−	2.12908i
$91$	2.97285	−	6.77422i	0.311640	−	0.710131i
$92$	0.904617	+	0.692036i	0.0943128	+	0.0721498i
$93$	−5.00725	+	0.526283i	−0.519227	+	0.0545730i
$94$	−2.47699	+	6.22184i	−0.255482	+	0.641734i
$95$	2.60489	−	2.89303i	0.267257	−	0.296819i
$96$	−16.9682	+	7.36375i	−1.73181	+	0.751560i
$97$	13.4704	+	1.41580i	1.36771	+	0.143752i	0.759751	−	0.650214i	$-0.225321\pi$
$97$	13.4704	+	1.41580i	1.36771	+	0.143752i	0.607961	+	0.793967i	$0.291988\pi$
$98$	0.157799	+	3.94272i	0.0159401	+	0.398275i
$99$	12.1872	−	22.4123i	1.22486	−	2.25252i
$100$	−10.7914	+	22.7100i	−1.07914	+	2.27100i
$101$	−0.228981	−	0.514299i	−0.0227844	−	0.0511747i	0.901795	−	0.432164i	$-0.142250\pi$
$101$	−0.228981	−	0.514299i	−0.0227844	−	0.0511747i	−0.924579	+	0.380990i	$0.875583\pi$
$102$	3.21963	+	12.6385i	0.318790	+	1.25140i
$103$	2.20761	−	0.717295i	0.217522	−	0.0706772i	−0.198229	−	0.980156i	$-0.563519\pi$
$103$	2.20761	−	0.717295i	0.217522	−	0.0706772i	0.415751	+	0.909479i	$0.363519\pi$
$104$	−1.27490	−	10.1180i	−0.125014	−	0.992155i
$105$	16.5306	+	22.7525i	1.61322	+	2.22041i
$106$	−1.60167	−	1.33011i	−0.155568	−	0.129192i
$107$	−5.53158	−	6.14345i	−0.534758	−	0.593909i	0.413856	−	0.910342i	$-0.364182\pi$
$107$	−5.53158	−	6.14345i	−0.534758	−	0.593909i	−0.948615	+	0.316433i	$0.897515\pi$
$108$	−14.6808	−	26.9446i	−1.41266	−	2.59275i
$109$	13.2659			1.27064			0.635319	−	0.772250i	$-0.280869\pi$
$109$	13.2659			1.27064			0.635319	+	0.772250i	$0.280869\pi$
$110$	3.33164	+	19.3773i	0.317660	+	1.84755i
$111$	6.29054	+	10.8955i	0.597071	+	1.03416i
$112$	−4.49006	−	6.86999i	−0.424271	−	0.649153i
$113$	−9.16309	+	1.94767i	−0.861991	+	0.183222i	−0.617636	−	0.786464i	$-0.711910\pi$
$113$	−9.16309	+	1.94767i	−0.861991	+	0.183222i	−0.244355	+	0.969686i	$0.578576\pi$
$114$	−3.30383	−	2.74368i	−0.309432	−	0.256969i
$115$	−0.249531	−	2.37412i	−0.0232688	−	0.221388i
$116$	1.48949	−	4.22583i	0.138296	−	0.392358i
$117$	27.0967	−	5.91093i	2.50509	−	0.546465i
$118$	−2.72073	+	2.65430i	−0.250463	+	0.244348i
$119$	−5.28651	+	2.35371i	−0.484613	+	0.215764i
$120$	35.6540	+	15.2255i	3.25475	+	1.38990i
$121$	7.76836	+	7.78798i	0.706214	+	0.707998i
$122$	5.01443	−	9.54781i	0.453985	−	0.864419i
$123$	18.9542	+	1.99216i	1.70904	+	0.179627i
$124$	−2.23691	−	2.11654i	−0.200881	−	0.190071i
$125$	30.1865	−	9.80819i	2.69996	−	0.877271i
$126$	17.5179	−	13.8308i	1.56062	−	1.23215i
$127$	−0.867991	−	8.25838i	−0.0770217	−	0.732813i	−0.963076	−	0.269231i	$-0.913231\pi$
$127$	−0.867991	−	8.25838i	−0.0770217	−	0.732813i	0.886054	−	0.463582i	$-0.153436\pi$
$128$	−10.1724	−	4.95190i	−0.899126	−	0.437690i
$129$	13.7217	+	4.45846i	1.20813	+	0.392546i
$130$	−13.5677	+	16.5162i	−1.18996	+	1.44857i
$131$	−1.54371			−0.134875			−0.0674375	−	0.997724i	$-0.521482\pi$
$131$	−1.54371			−0.134875			−0.0674375	+	0.997724i	$0.521482\pi$
$132$	21.2121	−	4.52723i	1.84628	−	0.394045i
$133$	0.952740	−	1.65019i	0.0826130	−	0.143090i
$134$	−6.93619	+	10.3972i	−0.599195	+	0.898181i
$135$	−19.8737	+	61.1651i	−1.71046	+	5.26425i
$136$	−4.58970	+	6.52461i	−0.393563	+	0.559481i
$137$	−4.45871	+	10.0144i	−0.380933	+	0.855590i	0.616724	+	0.787180i	$0.288460\pi$
$137$	−4.45871	+	10.0144i	−0.380933	+	0.855590i	−0.997657	+	0.0684107i	$0.978207\pi$
$138$	−2.60593	+	0.379788i	−0.221831	+	0.0323297i
$139$	−1.23705	+	1.37388i	−0.104925	+	0.116531i	−0.793320	−	0.608805i	$-0.791649\pi$
$139$	−1.23705	+	1.37388i	−0.104925	+	0.116531i	0.688395	+	0.725336i	$0.258316\pi$
$140$	−3.99118	+	16.7323i	−0.337316	+	1.41413i
$141$	−6.29787	−	14.1453i	−0.530377	−	1.19125i
$142$	8.09206	+	4.24988i	0.679070	+	0.356642i
$143$	−0.882110	+	11.9257i	−0.0737658	+	0.997276i
$144$	10.9422	−	28.7566i	0.911849	−	2.39638i
$145$	−8.57924	+	3.81973i	−0.712467	+	0.317211i
$146$	0.528146	+	2.07322i	0.0437097	+	0.171581i
$147$	−6.78004	−	6.10477i	−0.559208	−	0.503513i
$148$	−2.55808	+	7.25753i	−0.210273	+	0.596566i
$149$	−0.648391	−	0.288682i	−0.0531183	−	0.0236498i	0.380006	−	0.924984i	$-0.375922\pi$
$149$	−0.648391	−	0.288682i	−0.0531183	−	0.0236498i	−0.433124	+	0.901334i	$0.642589\pi$
$150$	−20.1616	−	54.5276i	−1.64619	−	4.45216i
$151$	9.65650	+	3.13759i	0.785835	+	0.255333i	0.674330	−	0.738431i	$-0.264433\pi$
$151$	9.65650	+	3.13759i	0.785835	+	0.255333i	0.111505	+	0.993764i	$0.464433\pi$
$152$	−0.0401472	−	2.62643i	−0.00325637	−	0.213031i
$153$	−18.7878	−	10.8472i	−1.51891	−	0.876941i
$154$	3.56705	+	8.93827i	0.287441	+	0.720266i
$155$			6.45450i			0.518438i
$156$	18.8039	+	14.2266i	1.50552	+	1.13904i
$157$	3.69004	−	11.3568i	0.294497	−	0.906369i	−0.688893	−	0.724863i	$-0.741903\pi$
$157$	3.69004	−	11.3568i	0.294497	−	0.906369i	0.983390	−	0.181506i	$-0.0580971\pi$
$158$	6.17647	+	5.12928i	0.491374	+	0.408063i
$159$	4.78741	−	0.503177i	0.379666	−	0.0399046i
$160$	7.11462	+	22.6203i	0.562460	+	1.78829i
$161$	−0.361074	−	1.11127i	−0.0284566	−	0.0875805i
$162$	36.8817	+	10.3726i	2.89770	+	0.814948i
$163$	−0.150135	+	1.42844i	−0.0117595	+	0.111884i	−0.998827	−	0.0484208i	$-0.984581\pi$
$163$	−0.150135	+	1.42844i	−0.0117595	+	0.111884i	0.987068	+	0.160305i	$0.0512478\pi$
$164$	6.61670	+	9.59725i	0.516677	+	0.749419i
$165$	−37.4489	−	25.7727i	−2.91540	−	2.00640i
$166$	12.7306	+	20.1441i	0.988087	+	1.56349i
$167$	3.74360	+	8.40825i	0.289688	+	0.650650i	0.998500	−	0.0547471i	$-0.0174353\pi$
$167$	3.74360	+	8.40825i	0.289688	+	0.650650i	−0.708812	+	0.705397i	$0.750769\pi$
$168$	18.6196	+	3.66120i	1.43653	+	0.282468i
$169$	−10.4351	+	7.75304i	−0.802696	+	0.596388i
$170$	16.5449	−	2.41126i	1.26894	−	0.184935i
$171$	7.10437	−	0.746700i	0.543285	−	0.0571016i
$172$	3.38902	+	8.14807i	0.258410	+	0.621284i
$173$	−2.71307	−	12.7640i	−0.206271	−	0.970430i	−0.952453	−	0.304687i	$-0.901448\pi$
$173$	−2.71307	−	12.7640i	−0.206271	−	0.970430i	0.746181	−	0.665743i	$-0.231885\pi$
$174$	4.58886	+	9.28816i	0.347881	+	0.704134i
$175$	22.3388	−	12.8973i	1.68866	−	0.974947i
$176$	10.5435	+	8.05195i	0.794749	+	0.606939i
$177$		−	8.78848i		−	0.660582i
$178$	−14.7073	−	9.81156i	−1.10236	−	0.735407i
$179$	2.82647	−	2.54496i	0.211260	−	0.190220i	−0.556707	−	0.830709i	$-0.687935\pi$
$179$	2.82647	−	2.54496i	0.211260	−	0.190220i	0.767967	+	0.640490i	$0.221269\pi$
$180$	−59.5429	+	24.7656i	−4.43806	+	1.84592i
$181$	9.14286	−	6.64267i	0.679583	−	0.493746i	−0.193636	−	0.981073i	$-0.562028\pi$
$181$	9.14286	−	6.64267i	0.679583	−	0.493746i	0.873219	+	0.487327i	$0.162028\pi$
$182$	−4.81503	+	9.28824i	−0.356914	+	0.688490i
$183$	7.70543	+	23.7149i	0.569602	+	1.75305i
$184$	−1.21335	−	1.05938i	−0.0894492	−	0.0780982i
$185$	14.7342	−	6.56008i	1.08328	−	0.482307i
$186$	7.11463	−	0.284747i	0.521670	−	0.0208787i
$187$	6.78929	−	6.43466i	0.496482	−	0.470549i
$188$	4.06472	−	8.55405i	0.296450	−	0.623868i
$189$	−3.29046	+	31.3066i	−0.239346	+	2.27722i
$190$	−3.94077	+	3.84455i	−0.285893	+	0.278913i
$191$	19.8767	+	17.8970i	1.43822	+	1.29498i	0.887903	+	0.460031i	$0.152162\pi$
$191$	19.8767	+	17.8970i	1.43822	+	1.29498i	0.550322	+	0.834953i	$0.314505\pi$
$192$	24.6199	−	8.84018i	1.77679	−	0.637985i
$193$	−0.712159	−	6.77574i	−0.0512623	−	0.487729i	−0.989791	−	0.142527i	$-0.954477\pi$
$193$	−0.712159	−	6.77574i	−0.0512623	−	0.487729i	0.938529	−	0.345202i	$-0.112189\pi$
$194$	−18.8807	−	3.23007i	−1.35555	−	0.231906i
$195$	−5.42814	−	49.1218i	−0.388717	−	3.51768i
$196$	0.137914	−	5.57861i	0.00985097	−	0.398472i
$197$	7.99545	−	13.8485i	0.569653	−	0.986667i	−0.426948	−	0.904276i	$-0.640411\pi$
$197$	7.99545	−	13.8485i	0.569653	−	0.986667i	0.996600	−	0.0823908i	$-0.0262556\pi$
$198$	−19.2491	+	30.5147i	−1.36797	+	2.16859i
$199$	−10.2107	+	5.89516i	−0.723818	+	0.417896i	−0.816156	−	0.577831i	$-0.803899\pi$
$199$	−10.2107	+	5.89516i	−0.723818	+	0.417896i	0.0923384	+	0.995728i	$0.470566\pi$
$200$	17.3065	−	31.0626i	1.22375	−	2.19646i
$201$	−6.00830	−	28.2668i	−0.423793	−	1.99379i
$202$	0.276111	+	0.746749i	0.0194271	+	0.0525411i
$203$	−3.71879	+	2.70186i	−0.261008	+	0.189633i
$204$	−3.38776	−	18.1307i	−0.237191	−	1.26940i
$205$	5.07981	−	23.8986i	0.354789	−	1.66915i
$206$	−3.18110	+	0.810374i	−0.221638	+	0.0564614i
$207$	2.57478	−	3.54388i	0.178960	−	0.246317i
$208$	0.873792	+	14.3957i	0.0605866	+	0.998163i
$209$	−0.563217	+	3.02819i	−0.0389585	+	0.209464i
$210$	−21.2479	−	33.6214i	−1.46625	−	2.32010i
$211$	−13.6280	+	6.06760i	−0.938193	+	0.417710i	−0.818115	−	0.575054i	$-0.804981\pi$
$211$	−13.6280	+	6.06760i	−0.938193	+	0.417710i	−0.120078	+	0.992765i	$0.538314\pi$
$212$	2.13871	+	2.02362i	0.146887	+	0.138983i
$213$	−20.0991	+	6.53058i	−1.37717	+	0.447468i
$214$	7.24458	+	9.17589i	0.495229	+	0.627251i
$215$	7.52306	−	16.8971i	0.513068	−	1.15237i
$216$	18.2540	+	39.3684i	1.24202	+	2.67868i
$217$	0.656851	+	3.09024i	0.0445899	+	0.209779i
$218$	−18.7215	−	1.21332i	−1.26798	−	0.0821761i
$219$	−4.28396	−	2.47334i	−0.289483	−	0.167133i
$220$	−2.92951	−	27.6510i	−0.197508	−	1.86423i
$221$	10.1188	+	1.00895i	0.680665	+	0.0678695i
$222$	−7.88102	−	15.9517i	−0.528939	−	1.07061i
$223$	−18.3317	−	20.3594i	−1.22758	−	1.36337i	−0.909715	−	0.415233i	$-0.863700\pi$
$223$	−18.3317	−	20.3594i	−1.22758	−	1.36337i	−0.317867	−	0.948135i	$-0.602967\pi$
$224$	5.70827	+	10.1060i	0.381400	+	0.675233i
$225$	88.3420	+	39.3324i	5.88947	+	2.62216i
$226$	13.1096	−	1.91059i	0.872036	−	0.127091i
$227$	−9.57842	−	8.62445i	−0.635742	−	0.572425i	0.286958	−	0.957943i	$-0.407356\pi$
$227$	−9.57842	−	8.62445i	−0.635742	−	0.572425i	−0.922700	+	0.385519i	$0.874023\pi$
$228$	4.41159	+	4.17419i	0.292165	+	0.276443i
$229$	−3.32943	+	4.58256i	−0.220015	+	0.302824i	−0.904729	−	0.425987i	$-0.859927\pi$
$229$	−3.32943	+	4.58256i	−0.220015	+	0.302824i	0.684715	+	0.728811i	$0.259927\pi$
$230$	0.135009	+	3.37331i	0.00890226	+	0.222430i
$231$	−20.5523	−	8.52824i	−1.35224	−	0.561117i
$232$	−2.48855	+	5.82748i	−0.163381	+	0.382593i
$233$	−7.74410	+	10.6588i	−0.507333	+	0.698284i	−0.983467	−	0.181089i	$-0.942038\pi$
$233$	−7.74410	+	10.6588i	−0.507333	+	0.698284i	0.476134	+	0.879373i	$0.342038\pi$
$234$	−38.7810	+	5.86350i	−2.53519	+	0.383309i
$235$	−18.8784	+	6.13396i	−1.23149	+	0.400136i
$236$	4.08240	−	3.49704i	0.265742	−	0.227638i
$237$	−18.4616	+	1.94039i	−1.19921	+	0.126042i
$238$	7.67587	−	2.83816i	0.497553	−	0.183971i
$239$	10.4532	+	3.39646i	0.676163	+	0.219699i	0.626915	−	0.779088i	$-0.284317\pi$
$239$	10.4532	+	3.39646i	0.676163	+	0.219699i	0.0492483	+	0.998787i	$0.484317\pi$
$240$	−48.9242	−	24.7481i	−3.15804	−	1.59748i
$241$	14.2940	+	24.7579i	0.920758	+	1.59480i	0.798246	+	0.602332i	$0.205762\pi$
$241$	14.2940	+	24.7579i	0.920758	+	1.59480i	0.122512	+	0.992467i	$0.460905\pi$
$242$	−10.2508	−	11.7013i	−0.658948	−	0.752189i
$243$	−36.8557	+	21.2787i	−2.36430	+	1.36503i
$244$	−7.94989	+	13.0158i	−0.508940	+	0.833248i
$245$	−8.69181	+	7.82614i	−0.555299	+	0.499994i
$246$	−26.5669	−	4.54502i	−1.69384	−	0.289780i
$247$	−2.89086	+	1.68968i	−0.183941	+	0.107512i
$248$	2.96327	+	3.19156i	0.188168	+	0.202665i
$249$	−53.8936	−	11.4554i	−3.41537	−	0.725959i
$250$	−43.4979	+	11.0809i	−2.75105	+	0.700820i
$251$	30.0397	+	3.15730i	1.89609	+	0.199287i	0.979626	−	0.200833i	$-0.0643648\pi$
$251$	30.0397	+	3.15730i	1.89609	+	0.199287i	0.916463	+	0.400120i	$0.131031\pi$
$252$	−25.9872	+	17.9165i	−1.63704	+	1.12864i
$253$	1.14886	+	1.49918i	0.0722283	+	0.0942527i
$254$	0.469630	+	11.7341i	0.0294672	+	0.736260i
$255$	−22.7228	+	31.2753i	−1.42296	+	1.95853i
$256$	13.9030	+	7.91877i	0.868937	+	0.494923i
$257$	8.77755	+	1.86572i	0.547528	+	0.116381i	0.473367	−	0.880866i	$-0.343039\pi$
$257$	8.77755	+	1.86572i	0.547528	+	0.116381i	0.0741616	+	0.997246i	$0.476372\pi$
$258$	−18.9571	−	7.54703i	−1.18022	−	0.469858i
$259$	6.38673	−	4.64023i	0.396852	−	0.288330i
$260$	20.6580	−	22.0676i	1.28115	−	1.36858i
$261$	−16.3892	−	5.32517i	−1.01446	−	0.329620i
$262$	2.17857	+	0.141191i	0.134593	+	0.00872278i
$263$	−10.3627	+	17.9487i	−0.638991	+	1.10676i	0.346664	+	0.937989i	$0.387315\pi$
$263$	−10.3627	+	17.9487i	−0.638991	+	1.10676i	−0.985655	+	0.168775i	$0.946019\pi$
$264$	−30.3497	+	4.44898i	−1.86789	+	0.273816i
$265$		−	6.17113i		−	0.379089i
$266$	−1.49549	+	2.24170i	−0.0916941	+	0.137448i
$267$	39.9847	−	8.49901i	2.44702	−	0.520131i
$268$	10.7397	−	14.0387i	0.656029	−	0.857549i
$269$	13.1638	+	5.86088i	0.802609	+	0.357344i	0.766696	−	0.642010i	$-0.221899\pi$
$269$	13.1638	+	5.86088i	0.802609	+	0.357344i	0.0359129	+	0.999355i	$0.488566\pi$
$270$	33.6411	−	84.5017i	2.04733	−	5.14261i
$271$	−0.506869	+	2.38463i	−0.0307901	+	0.144856i	−0.990857	−	0.134913i	$-0.956925\pi$
$271$	−0.506869	+	2.38463i	−0.0307901	+	0.144856i	0.960067	+	0.279769i	$0.0902579\pi$
$272$	7.07398	−	8.78809i	0.428923	−	0.532856i
$273$	−7.59778	−	22.9658i	−0.459839	−	1.38995i
$274$	7.20830	−	13.7251i	0.435470	−	0.829163i
$275$	−27.0993	+	31.6887i	−1.63415	+	1.91090i
$276$	3.71236	−	0.297635i	0.223458	−	0.0179155i
$277$	10.8630	+	1.14175i	0.652696	+	0.0686011i	0.425088	−	0.905152i	$-0.360243\pi$
$277$	10.8630	+	1.14175i	0.652696	+	0.0686011i	0.227608	+	0.973753i	$0.426910\pi$
$278$	1.87145	−	1.82575i	0.112242	−	0.109501i
$279$	−7.92512	+	8.80174i	−0.474465	+	0.526946i
$280$	7.16292	−	23.2484i	0.428066	−	1.38936i
$281$	−20.3019	+	14.7502i	−1.21111	+	0.879922i	−0.995331	−	0.0965200i	$-0.969229\pi$
$281$	−20.3019	+	14.7502i	−1.21111	+	0.879922i	−0.215778	+	0.976442i	$0.569229\pi$
$282$	7.59414	+	20.5385i	0.452225	+	1.22305i
$283$	4.68319	+	5.20121i	0.278387	+	0.309180i	0.866081	−	0.499903i	$-0.166631\pi$
$283$	4.68319	+	5.20121i	0.278387	+	0.309180i	−0.587695	+	0.809083i	$0.699964\pi$
$284$	−11.0312	−	6.73777i	−0.654584	−	0.399813i
$285$		−	12.7294i		−	0.754027i
$286$	2.33562	−	16.7495i	0.138108	−	0.990417i
$287$		−	11.9590i		−	0.705915i
$288$	−18.0723	+	39.5820i	−1.06492	+	2.33239i
$289$	6.05263	+	6.72213i	0.356037	+	0.395419i
$290$	12.4568	−	4.60593i	0.731491	−	0.270469i
$291$	35.8306	−	26.0324i	2.10042	−	1.52605i
$292$	−0.555728	−	2.97415i	−0.0325215	−	0.174049i
$293$	−17.3764	+	19.2984i	−1.01514	+	1.12743i	−0.0233257	+	0.999728i	$0.507425\pi$
$293$	−17.3764	+	19.2984i	−1.01514	+	1.12743i	−0.991813	+	0.127698i	$0.959241\pi$
$294$	9.00999	+	9.23549i	0.525474	+	0.538625i
$295$	−11.2049	−	1.17768i	−0.652372	−	0.0685670i
$296$	4.27389	−	10.0082i	0.248415	−	0.581718i
$297$	−11.8475	−	49.4860i	−0.687465	−	2.87147i
$298$	0.888640	+	0.466707i	0.0514776	+	0.0270356i
$299$	−0.416179	+	2.01068i	−0.0240683	+	0.116281i
$300$	23.4660	+	78.7962i	1.35481	+	4.54930i
$301$	1.88228	−	8.85545i	0.108493	−	0.510419i
$302$	−13.3408	−	5.31113i	−0.767677	−	0.305621i
$303$	−1.68169	−	0.748736i	−0.0966105	−	0.0430138i
$304$	−0.183560	+	3.71023i	−0.0105279	+	0.212796i
$305$	31.2678	−	6.64617i	1.79039	−	0.380559i
$306$	25.5223	+	17.0265i	1.45901	+	0.973337i
$307$		−	8.99201i		−	0.513201i	−0.966518	−	0.256601i	$-0.917398\pi$
$307$		−	8.99201i		−	0.513201i	0.966518	−	0.256601i	$-0.0826025\pi$
$308$	−4.21651	−	12.9404i	−0.240258	−	0.737348i
$309$	3.79503	−	6.57319i	0.215892	−	0.373936i
$310$	0.590339	−	9.10894i	0.0335290	−	0.517353i
$311$	−15.4054	−	5.00551i	−0.873559	−	0.283836i	−0.162278	−	0.986745i	$-0.551884\pi$
$311$	−15.4054	−	5.00551i	−0.873559	−	0.283836i	−0.711280	+	0.702909i	$0.751884\pi$
$312$	−25.2359	−	21.7972i	−1.42870	−	1.23402i
$313$	10.1194	−	7.35217i	0.571982	−	0.415569i	−0.263843	−	0.964566i	$-0.584990\pi$
$313$	10.1194	−	7.35217i	0.571982	−	0.415569i	0.835825	+	0.548996i	$0.184990\pi$
$314$	−6.24629	+	15.6898i	−0.352498	+	0.885426i
$315$	64.7121	+	13.7550i	3.64611	+	0.775005i
$316$	−8.24743	−	7.80362i	−0.463954	−	0.438988i
$317$	−15.7239	+	21.6420i	−0.883140	+	1.21554i	0.0924016	+	0.995722i	$0.470546\pi$
$317$	−15.7239	+	21.6420i	−0.883140	+	1.21554i	−0.975541	+	0.219816i	$0.929454\pi$
$318$	−6.80227	+	0.272246i	−0.381452	+	0.0152668i
$319$	4.21244	−	6.12086i	0.235851	−	0.342702i
$320$	−7.97164	−	32.5737i	−0.445628	−	1.82093i
$321$	−26.8833	−	2.82555i	−1.50048	−	0.157707i
$322$	0.407928	+	1.60131i	0.0227330	+	0.0892375i
$323$	2.56201	+	0.544573i	0.142554	+	0.0303009i
$324$	−51.1007	−	18.0116i	−2.83893	−	1.00065i
$325$	−45.3276	+	0.241942i	−2.51432	+	0.0134205i
$326$	0.342527	−	2.00216i	0.0189708	−	0.110890i
$327$	32.2358	−	29.0252i	1.78264	−	1.60510i
$328$	−8.46006	−	14.1493i	−0.467129	−	0.781265i
$329$	−8.41423	+	4.85796i	−0.463891	+	0.267828i
$330$	50.4927	+	39.7970i	2.77953	+	2.19075i
$331$	13.4417	+	23.2817i	0.738821	+	1.27968i	0.953027	+	0.302887i	$0.0979504\pi$
$331$	13.4417	+	23.2817i	0.738821	+	1.27968i	−0.214206	+	0.976789i	$0.568716\pi$
$332$	−16.1237	−	29.5928i	−0.884903	−	1.62412i
$333$	28.1472	+	9.14556i	1.54245	+	0.501174i
$334$	−4.51413	−	12.2086i	−0.247002	−	0.668023i
$335$	−36.8438	+	3.87244i	−2.01299	+	0.211574i
$336$	−25.9421	−	6.86986i	−1.41526	−	0.374782i
$337$	−0.660726	+	0.214683i	−0.0359920	+	0.0116945i	−0.326958	−	0.945039i	$-0.606023\pi$
$337$	−0.660726	+	0.214683i	−0.0359920	+	0.0116945i	0.290966	+	0.956733i	$0.406023\pi$
$338$	15.4356	−	9.98710i	0.839586	−	0.543227i
$339$	−18.0047	+	24.7813i	−0.977881	+	1.34594i
$340$	−23.5696	+	1.88967i	−1.27824	+	0.102482i
$341$	−2.66556	−	4.35597i	−0.144348	−	0.235889i
$342$	−10.0944	+	0.404005i	−0.545841	+	0.0218461i
$343$	−11.8070	+	16.2510i	−0.637521	+	0.877472i
$344$	−4.03752	−	11.8090i	−0.217689	−	0.636696i
$345$	−5.80086	−	5.22312i	−0.312308	−	0.281203i
$346$	2.66142	+	18.2614i	0.143079	+	0.981738i
$347$	−18.7092	−	8.32987i	−1.00436	−	0.447171i	−0.162410	−	0.986723i	$-0.551927\pi$
$347$	−18.7092	−	8.32987i	−1.00436	−	0.447171i	−0.841952	+	0.539553i	$0.818593\pi$
$348$	−5.62654	−	13.5276i	−0.301614	−	0.725158i
$349$	21.2522	+	23.6030i	1.13761	+	1.26344i	0.960204	+	0.279300i	$0.0901025\pi$
$349$	21.2522	+	23.6030i	1.13761	+	1.26344i	0.177402	+	0.984139i	$0.443231\pi$
$350$	−32.7054	+	16.1583i	−1.74818	+	0.863695i
$351$	32.2754	−	44.9255i	1.72273	−	2.39795i
$352$	−14.1431	−	12.3277i	−0.753832	−	0.657067i
$353$	3.46999	+	2.00340i	0.184689	+	0.106630i	0.589494	−	0.807773i	$-0.299327\pi$
$353$	3.46999	+	2.00340i	0.184689	+	0.106630i	−0.404805	+	0.914403i	$0.632661\pi$
$354$	−0.803808	+	12.4028i	−0.0427219	+	0.659199i
$355$	5.63283	+	26.5004i	0.298960	+	1.40649i
$356$	19.8584	+	15.1917i	1.05249	+	0.805161i
$357$	−7.69630	+	17.2862i	−0.407331	+	0.914881i
$358$	−4.22163	+	3.33308i	−0.223120	+	0.176159i
$359$	23.5676	−	7.65756i	1.24385	−	0.404151i	0.388135	−	0.921602i	$-0.373119\pi$
$359$	23.5676	−	7.65756i	1.24385	−	0.404151i	0.855712	+	0.517452i	$0.173119\pi$
$360$	86.2951	−	29.5046i	4.54815	−	1.55503i
$361$	16.5695	−	7.37720i	0.872077	−	0.388274i
$362$	−13.5104	+	8.53827i	−0.710092	+	0.448762i
$363$	35.9168	+	1.92774i	1.88514	+	0.101180i
$364$	7.64474	−	12.6677i	0.400693	−	0.663966i
$365$	−3.72745	+	5.13039i	−0.195103	+	0.268537i
$366$	−8.70531	−	34.1724i	−0.455034	−	1.78622i
$367$	−0.600853	+	2.82679i	−0.0313643	+	0.147557i	−0.991043	−	0.133541i	$-0.957365\pi$
$367$	−0.600853	+	2.82679i	−0.0313643	+	0.147557i	0.959679	+	0.281098i	$0.0906986\pi$
$368$	1.61545	+	1.60602i	0.0842111	+	0.0837197i
$369$	36.2709	−	26.3523i	1.88819	−	1.37185i
$370$	−21.3937	+	7.91032i	−1.11220	+	0.411238i
$371$	−0.628013	−	2.95457i	−0.0326048	−	0.153394i
$372$	−10.0666	−	0.248865i	−0.521928	−	0.0129030i
$373$	−5.09483	+	2.94150i	−0.263801	+	0.152305i	−0.626067	−	0.779769i	$-0.715336\pi$
$373$	−5.09483	+	2.94150i	−0.263801	+	0.152305i	0.362266	+	0.932075i	$0.382003\pi$
$374$	−10.1699	+	8.45998i	−0.525874	+	0.437455i
$375$	51.8927	−	89.8808i	2.67973	−	4.64143i
$376$	−6.51871	+	11.7002i	−0.336177	+	0.603389i
$377$	8.02873	−	0.887206i	0.413501	−	0.0456934i
$378$	7.50703	−	43.8806i	0.386120	−	2.25698i
$379$	−2.71202	−	25.8031i	−0.139307	−	1.32542i	−0.811200	−	0.584769i	$-0.801185\pi$
$379$	−2.71202	−	25.8031i	−0.139307	−	1.32542i	0.671892	−	0.740649i	$-0.265482\pi$
$380$	5.91305	−	5.06520i	0.303333	−	0.259839i
$381$	−20.1783	−	18.1686i	−1.03376	−	0.930805i
$382$	−26.4141	−	27.0752i	−1.35146	−	1.38529i
$383$	1.61714	−	15.3861i	0.0826321	−	0.786192i	−0.872221	−	0.489113i	$-0.837321\pi$
$383$	1.61714	−	15.3861i	0.0826321	−	0.786192i	0.954853	−	0.297079i	$-0.0960126\pi$
$384$	−35.5535	+	10.2239i	−1.81433	+	0.521739i
$385$	−13.6271	+	25.0603i	−0.694502	+	1.27719i
$386$	0.385316	+	9.62742i	0.0196121	+	0.490023i
$387$	31.0058	−	13.8047i	1.57612	−	0.701732i
$388$	26.3499	+	6.28530i	1.33772	+	0.319088i
$389$	1.24576	+	3.83407i	0.0631628	+	0.194395i	0.977658	−	0.210201i	$-0.0674120\pi$
$389$	1.24576	+	3.83407i	0.0631628	+	0.194395i	−0.914495	+	0.404596i	$0.867412\pi$
$390$	3.16773	+	69.8197i	0.160404	+	3.53546i
$391$	1.29941	−	0.944073i	0.0657138	−	0.0477438i
$392$	−0.704860	+	7.86022i	−0.0356008	+	0.397001i
$393$	−3.75120	+	3.37760i	−0.189223	+	0.170377i
$394$	−12.5502	+	18.8125i	−0.632271	+	0.947760i
$395$			23.7976i			1.19739i
$396$	29.9562	−	41.3035i	1.50536	−	2.07558i
$397$	13.9917	−	8.07811i	0.702223	−	0.405429i	−0.105952	−	0.994371i	$-0.533789\pi$
$397$	13.9917	−	8.07811i	0.702223	−	0.405429i	0.808175	+	0.588942i	$0.200456\pi$
$398$	14.9491	−	7.38567i	0.749329	−	0.370210i
$399$	−1.29543	−	6.09450i	−0.0648525	−	0.305107i
$400$	−27.2648	+	42.2543i	−1.36324	+	2.11272i
$401$	−20.1680	+	2.11974i	−1.00714	+	0.105855i	−0.593709	−	0.804680i	$-0.702337\pi$
$401$	−20.1680	+	2.11974i	−1.00714	+	0.105855i	−0.413433	+	0.910535i	$0.635670\pi$
$402$	5.89390	+	40.4411i	0.293961	+	2.01702i
$403$	1.68737	−	5.28907i	0.0840536	−	0.263467i
$404$	−0.321364	−	1.07911i	−0.0159884	−	0.0536875i
$405$	46.1899	+	103.744i	2.29520	+	5.15509i
$406$	5.49527	−	3.47288i	0.272725	−	0.172356i
$407$	−7.23453	+	10.5121i	−0.358603	+	0.521066i
$408$	3.12273	+	25.8968i	0.154598	+	1.28208i
$409$	1.89894	−	18.0672i	0.0938964	−	0.893364i	−0.841617	−	0.540074i	$-0.818396\pi$
$409$	1.89894	−	18.0672i	0.0938964	−	0.893364i	0.935514	−	0.353290i	$-0.114937\pi$
$410$	−9.35470	+	33.2624i	−0.461996	+	1.64271i
$411$	11.0766	+	34.0904i	0.546370	+	1.68156i
$412$	4.56345	−	0.852694i	0.224825	−	0.0420092i
$413$	−5.48442	+	0.576436i	−0.269871	+	0.0283646i
$414$	−3.95779	+	4.76582i	−0.194515	+	0.234227i
$415$	−21.8270	+	67.1765i	−1.07144	+	3.29757i
$416$	0.0835134	−	20.3959i	0.00409458	−	0.999992i
$417$			6.04514i			0.296032i
$418$	1.07180	−	4.22203i	0.0524237	−	0.206506i
$419$	−29.2341	−	16.8783i	−1.42818	−	0.824559i	−0.431201	−	0.902256i	$-0.641910\pi$
$419$	−29.2341	−	16.8783i	−1.42818	−	0.824559i	−0.996977	+	0.0776971i	$0.975243\pi$
$420$	26.9111	+	49.3917i	1.31313	+	2.41007i
$421$	−19.7244	−	6.40884i	−0.961308	−	0.312348i	−0.214006	−	0.976832i	$-0.568651\pi$
$421$	−19.7244	−	6.40884i	−0.961308	−	0.312348i	−0.747302	+	0.664484i	$0.768651\pi$
$422$	19.7876	−	7.31647i	0.963244	−	0.356160i
$423$	−33.2752	−	14.8151i	−1.61790	−	0.720334i
$424$	−2.83317	−	3.05144i	−0.137591	−	0.148191i
$425$	26.3498	+	23.7254i	1.27815	+	1.15085i
$426$	28.9622	−	7.37801i	1.40322	−	0.357466i
$427$	14.2938	−	6.36401i	0.691726	−	0.307976i
$428$	−9.38469	−	13.6121i	−0.453626	−	0.657965i
$429$	23.9495	+	30.9092i	1.15629	+	1.49231i
$430$	−12.1624	+	23.1580i	−0.586522	+	1.11678i
$431$	7.94652	+	17.8482i	0.382770	+	0.859716i	0.997479	+	0.0709618i	$0.0226068\pi$
$431$	7.94652	+	17.8482i	0.382770	+	0.859716i	−0.614709	+	0.788754i	$0.710726\pi$
$432$	−22.1602	−	57.2283i	−1.06619	−	2.75340i
$433$	−9.46474	+	10.5117i	−0.454847	+	0.505158i	−0.926328	−	0.376718i	$-0.877053\pi$
$433$	−9.46474	+	10.5117i	−0.454847	+	0.505158i	0.471482	+	0.881876i	$0.343719\pi$
$434$	−0.644344	−	4.42119i	−0.0309295	−	0.212224i
$435$	−12.4900	+	28.0530i	−0.598849	+	1.34504i
$436$	26.3098	+	3.42459i	1.26001	+	0.164008i
$437$	−0.163431	+	0.502989i	−0.00781797	+	0.0240612i
$438$	5.81953	+	3.88233i	0.278068	+	0.185505i
$439$	0.00909546	−	0.0157538i	0.000434102	−	0.000751887i	−0.865808	−	0.500376i	$-0.833195\pi$
$439$	0.00909546	−	0.0157538i	0.000434102	−	0.000751887i	0.866242	+	0.499624i	$0.166528\pi$
$440$	1.60528	+	39.2905i	0.0765287	+	1.87310i
$441$	−21.4619			−1.02200
$442$	−14.1879	−	2.34937i	−0.674850	−	0.111748i
$443$	12.7475	+	4.14190i	0.605651	+	0.196788i	0.595759	−	0.803163i	$-0.296851\pi$
$443$	12.7475	+	4.14190i	0.605651	+	0.196788i	0.00989167	+	0.999951i	$0.496851\pi$
$444$	9.66314	+	23.2327i	0.458592	+	1.10257i
$445$	−5.47775	−	52.1173i	−0.259670	−	2.47060i
$446$	24.0086	+	30.4090i	1.13684	+	1.43991i
$447$	−2.20721	+	0.717165i	−0.104397	+	0.0339207i
$448$	−7.13151	−	14.7842i	−0.336932	−	0.698486i
$449$	−29.0254	−	3.05069i	−1.36979	−	0.143971i	−0.609106	−	0.793089i	$-0.708472\pi$
$449$	−29.0254	−	3.05069i	−1.36979	−	0.143971i	−0.760688	+	0.649117i	$0.775138\pi$
$450$	−121.076	−	63.5879i	−5.70756	−	2.99756i
$451$	6.44136	+	18.2264i	0.303312	+	0.858246i
$452$	−18.6757	+	1.49730i	−0.878430	+	0.0704273i
$453$	30.3301	−	13.5038i	1.42503	−	0.634465i
$454$	12.7288	+	13.0473i	0.597391	+	0.612342i
$455$	−30.2983	+	6.60931i	−1.42040	+	0.309849i
$456$	−5.84409	−	6.29434i	−0.273675	−	0.294759i
$457$	2.13856	+	20.3470i	0.100038	+	0.951794i	0.923286	+	0.384113i	$0.125493\pi$
$457$	2.13856	+	20.3470i	0.100038	+	0.951794i	−0.823248	+	0.567681i	$0.807841\pi$
$458$	5.11779	−	6.16264i	0.239139	−	0.287961i
$459$	−42.3252	+	8.99651i	−1.97557	+	0.419921i
$460$	0.117996	−	4.77295i	0.00550160	−	0.222540i
$461$	−11.1203	−	19.2609i	−0.517922	−	0.897067i	−0.999783	−	0.0208198i	$-0.993372\pi$
$461$	−11.1203	−	19.2609i	−0.517922	−	0.897067i	0.481861	−	0.876248i	$-0.339961\pi$
$462$	28.2245	+	13.9152i	1.31312	+	0.647396i
$463$	6.93969			0.322515			0.161257	−	0.986912i	$-0.448445\pi$
$463$	6.93969			0.322515			0.161257	+	0.986912i	$0.448445\pi$
$464$	4.04496	−	7.99644i	0.187783	−	0.371226i
$465$	14.1222	+	15.6843i	0.654903	+	0.727344i
$466$	11.9038	−	14.3340i	0.551431	−	0.664011i
$467$	15.5160	+	21.3560i	0.717997	+	0.988238i	0.999588	+	0.0287034i	$0.00913782\pi$
$467$	15.5160	+	21.3560i	0.717997	+	0.988238i	−0.281591	+	0.959534i	$0.590862\pi$
$468$	55.2660	−	4.72792i	2.55467	−	0.218548i
$469$	−17.2457	+	5.60348i	−0.796334	+	0.258745i
$470$	27.2032	−	6.92992i	1.25479	−	0.319654i
$471$	−15.8815	−	35.6705i	−0.731781	−	1.64361i
$472$	−6.08115	+	4.56183i	−0.279907	+	0.209975i
$473$	1.90100	+	14.5102i	0.0874080	+	0.667181i
$474$	26.2314	−	1.04985i	1.20485	−	0.0482214i
$475$	−11.6114	−	1.22040i	−0.532765	−	0.0559959i
$476$	−11.0922	+	3.30332i	−0.508409	+	0.151407i
$477$	7.57718	−	8.41531i	0.346935	−	0.385311i
$478$	−14.4415	−	5.74933i	−0.660539	−	0.262968i
$479$	19.7349	−	2.07423i	0.901713	−	0.0947738i	0.357686	−	0.933842i	$-0.383566\pi$
$479$	19.7349	−	2.07423i	0.901713	−	0.0947738i	0.544026	+	0.839068i	$0.316899\pi$
$480$	66.7809	+	39.4005i	3.04812	+	1.79838i
$481$	−13.7887	+	1.52371i	−0.628712	+	0.0694751i
$482$	−17.9081	−	36.2471i	−0.815689	−	1.65101i
$483$	−3.30883	−	1.91035i	−0.150557	−	0.0869241i
$484$	13.3963	+	17.4511i	0.608922	+	0.793230i
$485$	−28.3886	−	49.1705i	−1.28906	−	2.23272i
$486$	53.9589	−	26.6587i	2.44763	−	1.20926i
$487$	24.4478	−	5.19654i	1.10783	−	0.235478i	0.382556	−	0.923932i	$-0.375044\pi$
$487$	24.4478	−	5.19654i	1.10783	−	0.235478i	0.725279	+	0.688455i	$0.241711\pi$
$488$	12.4098	−	17.6414i	0.561763	−	0.798589i
$489$	2.76056	+	3.79958i	0.124837	+	0.171823i
$490$	12.9821	−	10.2497i	0.586473	−	0.463034i
$491$	−39.8636	−	8.47326i	−1.79902	−	0.382393i	−0.817831	−	0.575458i	$-0.804824\pi$
$491$	−39.8636	−	8.47326i	−1.79902	−	0.382393i	−0.981186	+	0.193065i	$0.938157\pi$
$492$	37.0769	+	8.84403i	1.67156	+	0.398720i
$493$	−5.11181	−	3.71394i	−0.230224	−	0.167268i
$494$	4.23427	−	2.12016i	0.190509	−	0.0953904i
$495$	−106.035	+	13.8917i	−4.76592	+	0.624388i
$496$	−3.89002	−	4.77513i	−0.174667	−	0.214410i
$497$	5.39369	+	12.1144i	0.241940	+	0.543406i
$498$	75.0098	+	21.0957i	3.36127	+	0.945322i
$499$	−4.06085	−	12.4980i	−0.181789	−	0.559488i	0.818089	−	0.575091i	$-0.195033\pi$
$499$	−4.06085	−	12.4980i	−0.181789	−	0.559488i	−0.999878	+	0.0156026i	$0.995033\pi$
$500$	62.4000	−	11.6596i	2.79061	−	0.521434i
$501$	27.4938	+	12.2411i	1.22833	+	0.546890i
$502$	−42.1048	−	7.20323i	−1.87923	−	0.321496i
$503$	30.2187	−	6.42318i	1.34738	−	0.286395i	0.522955	−	0.852361i	$-0.324830\pi$
$503$	30.2187	−	6.42318i	1.34738	−	0.286395i	0.824429	+	0.565965i	$0.191496\pi$
$504$	38.3132	−	22.9079i	1.70660	−	1.02040i
$505$	−1.17995	+	2.04373i	−0.0525071	+	0.0909450i
$506$	−1.48422	−	2.22080i	−0.0659815	−	0.0987266i
$507$	−8.39360	+	41.6713i	−0.372773	+	1.85069i
$508$	0.410449	−	16.6027i	0.0182107	−	0.736624i
$509$	6.79343	−	6.11683i	0.301113	−	0.271124i	−0.504698	−	0.863296i	$-0.668396\pi$
$509$	6.79343	−	6.11683i	0.301113	−	0.271124i	0.805811	+	0.592172i	$0.201730\pi$
$510$	34.9281	−	42.0591i	1.54664	−	1.86241i
$511$	−1.26250	+	2.83562i	−0.0558496	+	0.125440i
$512$	−18.8964	−	12.4470i	−0.835109	−	0.550084i
$513$	9.53392	−	10.5885i	0.420933	−	0.467493i
$514$	−12.2167	−	3.43582i	−0.538855	−	0.151547i
$515$	−7.87193	−	5.71929i	−0.346879	−	0.252022i
$516$	26.0630	+	12.3846i	1.14736	+	0.545202i
$517$	10.2073	−	11.9360i	0.448918	−	0.524944i
$518$	−9.43769	+	5.96440i	−0.414668	+	0.262061i
$519$	−34.5199	−	25.0802i	−1.51526	−	1.10090i
$520$	−31.1720	+	29.2536i	−1.36698	+	1.28285i
$521$	8.55401	+	26.3265i	0.374758	+	1.15339i	0.943642	+	0.330969i	$0.107375\pi$
$521$	8.55401	+	26.3265i	0.374758	+	1.15339i	−0.568884	+	0.822418i	$0.692625\pi$
$522$	22.6422	+	9.01414i	0.991024	+	0.394538i
$523$	1.33362	+	12.6885i	0.0583151	+	0.554831i	0.984204	+	0.177036i	$0.0566509\pi$
$523$	1.33362	+	12.6885i	0.0583151	+	0.554831i	−0.925889	+	0.377795i	$0.876682\pi$
$524$	−3.06160	−	0.398511i	−0.133747	−	0.0174090i
$525$	26.0641	−	80.2170i	1.13753	−	3.50095i
$526$	16.2660	−	24.3824i	0.709231	−	1.06312i
$527$	−3.76090	+	2.17135i	−0.163827	+	0.0945857i
$528$	43.2380	−	3.50280i	1.88169	−	0.152440i
$529$	−11.3378	−	19.6377i	−0.492950	−	0.853814i
$530$	−0.564421	+	8.70902i	−0.0245169	+	0.378296i
$531$	−13.8336	−	15.3638i	−0.600327	−	0.666730i
$532$	2.31554	−	3.02683i	0.100391	−	0.131230i
$533$	−10.4103	+	18.2555i	−0.450919	+	0.790732i
$534$	−57.2059	+	8.33719i	−2.47554	+	0.360786i
$535$	−7.20486	+	33.8962i	−0.311493	+	1.46546i
$536$	−16.4404	+	18.8299i	−0.710116	+	0.813326i
$537$	1.29998	−	12.3684i	0.0560981	−	0.533738i
$538$	−18.0414	−	9.47517i	−0.777818	−	0.408504i
$539$	2.63385	−	8.87117i	0.113448	−	0.382108i
$540$	−55.2048	+	116.176i	−2.37564	+	4.99944i
$541$	11.0297	+	8.01358i	0.474206	+	0.344531i	0.799078	−	0.601227i	$-0.205321\pi$
$541$	11.0297	+	8.01358i	0.474206	+	0.344531i	−0.324872	+	0.945758i	$0.605321\pi$
$542$	0.933422	−	3.31896i	0.0400939	−	0.142561i
$543$	7.68304	−	36.1458i	0.329711	−	1.55117i
$544$	−10.7869	+	11.7552i	−0.462486	+	0.504001i
$545$	−32.6860	−	44.9884i	−1.40011	−	1.92709i
$546$	8.62191	+	33.1054i	0.368984	+	1.41678i
$547$	3.40541	−	10.4808i	0.145605	−	0.448126i	−0.851483	−	0.524382i	$-0.824297\pi$
$547$	3.40541	−	10.4808i	0.145605	−	0.448126i	0.997088	+	0.0762557i	$0.0242965\pi$
$548$	−11.4281	+	18.7103i	−0.488182	+	0.799264i
$549$	50.7990	+	29.3288i	2.16805	+	1.25172i
$550$	41.1423	−	42.2423i	1.75431	−	1.80122i
$551$	2.08057			0.0886352
$552$	−5.26630	+	0.0804998i	−0.224148	+	0.00342630i
$553$	2.42179	+	11.3936i	0.102985	+	0.484506i
$554$	−15.2260	−	2.60485i	−0.646893	−	0.110669i
$555$	21.4506	−	48.1788i	0.910527	−	2.04508i
$556$	−2.80807	+	2.40543i	−0.119089	+	0.102013i
$557$	3.71381	+	0.789395i	0.157359	+	0.0334477i	0.285918	−	0.958254i	$-0.407702\pi$
$557$	3.71381	+	0.789395i	0.157359	+	0.0334477i	−0.128558	+	0.991702i	$0.541035\pi$
$558$	11.9894	−	11.6966i	0.507551	−	0.495158i
$559$	−10.5820	+	11.8794i	−0.447570	+	0.502445i
$560$	−12.2350	+	32.1542i	−0.517024	+	1.35876i
$561$	2.41903	−	30.4909i	0.102131	−	1.28732i
$562$	30.0002	−	18.9594i	1.26548	−	0.799754i
$563$	0.0839993	−	0.799200i	0.00354015	−	0.0336823i	−0.992609	−	0.121355i	$-0.961276\pi$
$563$	0.0839993	−	0.799200i	0.00354015	−	0.0336823i	0.996149	+	0.0876723i	$0.0279428\pi$
$564$	−8.83877	−	29.6797i	−0.372179	−	1.24974i
$565$	29.1823	+	26.2758i	1.22771	+	1.10543i
$566$	−6.13346	−	7.76856i	−0.257808	−	0.326537i
$567$	32.6721	+	44.9693i	1.37210	+	1.88853i
$568$	14.9516	+	10.5176i	0.627356	+	0.441310i
$569$	−24.5534	+	22.1080i	−1.02933	+	0.926815i	−0.997356	−	0.0726736i	$-0.976847\pi$
$569$	−24.5534	+	22.1080i	−1.02933	+	0.926815i	−0.0319766	+	0.999489i	$0.510180\pi$
$570$	−1.16425	+	17.9645i	−0.0487653	+	0.752448i
$571$	23.7749			0.994948			0.497474	−	0.867479i	$-0.334261\pi$
$571$	23.7749			0.994948			0.497474	+	0.867479i	$0.334261\pi$
$572$	−4.82809	+	23.4241i	−0.201872	+	0.979412i
$573$	87.4580			3.65361
$574$	−1.09379	+	16.8771i	−0.0456537	+	0.704437i
$575$	−5.32049	+	4.79059i	−0.221880	+	0.199782i
$576$	29.1248	−	54.2074i	1.21354	−	2.25864i
$577$	18.3734	+	25.2888i	0.764893	+	1.05278i	0.996791	+	0.0800446i	$0.0255063\pi$
$577$	18.3734	+	25.2888i	0.764893	+	1.05278i	−0.231898	+	0.972740i	$0.574494\pi$
$578$	−7.92698	−	10.0402i	−0.329719	−	0.417618i
$579$	−16.5556	−	14.9068i	−0.688029	−	0.619504i
$580$	−18.0010	+	5.36081i	−0.747452	+	0.222595i
$581$	−3.61386	+	34.3835i	−0.149928	+	1.42647i
$582$	−52.9469	+	33.4612i	−2.19472	+	1.38701i
$583$	2.54854	+	4.16473i	0.105550	+	0.172485i
$584$	0.512252	+	4.24810i	0.0211972	+	0.175788i
$585$	−86.8099	−	77.3290i	−3.58915	−	3.19716i
$586$	26.2875	−	25.6457i	1.08593	−	1.05941i
$587$	−29.0410	−	6.17285i	−1.19865	−	0.254781i	−0.435011	−	0.900425i	$-0.643255\pi$
$587$	−29.0410	−	6.17285i	−1.19865	−	0.254781i	−0.763638	+	0.645645i	$0.776589\pi$
$588$	−11.8707	−	13.8577i	−0.489539	−	0.571481i
$589$	0.581620	−	1.30634i	0.0239652	−	0.0538268i
$590$	15.7052	+	2.68681i	0.646572	+	0.110614i
$591$	−10.8713	−	51.1455i	−0.447186	−	2.10384i
$592$	−6.94691	+	13.7333i	−0.285516	+	0.564434i
$593$	19.0978			0.784251			0.392126	−	0.919912i	$-0.371740\pi$
$593$	19.0978			0.784251			0.392126	+	0.919912i	$0.371740\pi$
$594$	12.1938	+	70.9209i	0.500318	+	2.90992i
$595$	21.0076	+	12.1288i	0.861230	+	0.497231i
$596$	−1.21141	−	0.739917i	−0.0496213	−	0.0303082i
$597$	−11.9134	+	36.6658i	−0.487585	+	1.50063i
$598$	0.771235	−	2.79952i	0.0315381	−	0.114481i
$599$	15.8434	+	21.8066i	0.647346	+	0.890995i	0.998981	−	0.0451422i	$-0.0143741\pi$
$599$	15.8434	+	21.8066i	0.647346	+	0.890995i	−0.351635	+	0.936137i	$0.614374\pi$
$600$	−25.9096	−	113.348i	−1.05775	−	4.62740i
$601$	1.42543	−	6.70613i	0.0581446	−	0.273549i	−0.939466	−	0.342643i	$-0.888678\pi$
$601$	1.42543	−	6.70613i	0.0581446	−	0.273549i	0.997610	+	0.0690947i	$0.0220111\pi$
$602$	−3.46631	+	12.3251i	−0.141276	+	0.502334i
$603$	−54.9972	−	39.9578i	−2.23966	−	1.62721i
$604$	18.3415	+	8.71552i	0.746304	+	0.354629i
$605$	7.27072	−	45.5338i	0.295597	−	1.85121i
$606$	2.30481	+	1.21047i	0.0936264	+	0.0491718i
$607$	4.23337	−	40.2778i	0.171827	−	1.63483i	−0.480575	−	0.876953i	$-0.659572\pi$
$607$	4.23337	−	40.2778i	0.171827	−	1.63483i	0.652403	−	0.757873i	$-0.273761\pi$
$608$	0.598392	−	5.21928i	0.0242680	−	0.211670i
$609$	−3.12502	+	14.7021i	−0.126632	+	0.595757i
$610$	−44.7346	+	6.51963i	−1.81125	+	0.263972i
$611$	17.0733	−	0.0911306i	0.690710	−	0.00368675i
$612$	−34.4611	−	26.3629i	−1.39301	−	1.06566i
$613$	−27.4069	−	30.4384i	−1.10695	−	1.22940i	−0.971102	−	0.238667i	$-0.923290\pi$
$613$	−27.4069	−	30.4384i	−1.10695	−	1.22940i	−0.135852	−	0.990729i	$-0.543377\pi$
$614$	−0.822423	+	12.6900i	−0.0331903	+	0.512127i
$615$	−39.9455	−	69.1877i	−1.61076	−	2.78992i
$616$	4.76701	+	18.6478i	0.192068	+	0.751343i
$617$	33.3661	−	19.2640i	1.34327	−	0.775538i	0.355984	−	0.934492i	$-0.384146\pi$
$617$	33.3661	−	19.2640i	1.34327	−	0.775538i	0.987286	+	0.158954i	$0.0508123\pi$
$618$	−5.95694	+	8.92933i	−0.239623	+	0.359190i
$619$	−2.36442	+	7.27694i	−0.0950341	+	0.292485i	−0.987263	−	0.159099i	$-0.949141\pi$
$619$	−2.36442	+	7.27694i	−0.0950341	+	0.292485i	0.892228	+	0.451584i	$0.149141\pi$
$620$	−1.66624	+	12.8010i	−0.0669176	+	0.514101i
$621$	−0.913282	−	8.68930i	−0.0366487	−	0.348690i
$622$	21.2831	+	8.47304i	0.853373	+	0.339738i
$623$	−7.92638	−	24.3949i	−0.317564	−	0.977361i
$624$	33.6206	+	33.0695i	1.34590	+	1.32384i
$625$	−56.7857	−	41.2572i	−2.27143	−	1.65029i
$626$	−14.9535	+	9.45024i	−0.597661	+	0.377707i
$627$	5.25697	+	8.59075i	0.209943	+	0.343081i
$628$	10.2501	−	21.5710i	0.409024	−	0.860775i
$629$	8.77913	+	6.37841i	0.350047	+	0.254324i
$630$	−90.0671	−	25.3304i	−3.58836	−	1.00919i
$631$	−25.9452	+	28.8151i	−1.03286	+	1.14711i	−0.0438860	+	0.999037i	$0.513974\pi$
$631$	−25.9452	+	28.8151i	−1.03286	+	1.14711i	−0.988976	+	0.148073i	$0.952693\pi$
$632$	10.9255	+	11.7672i	0.434592	+	0.468074i
$633$	−19.8402	+	44.5619i	−0.788578	+	1.77117i
$634$	24.1698	−	29.1043i	0.959904	−	1.15588i
$635$	−25.8680	+	23.2916i	−1.02654	+	0.924299i
$636$	9.62462	+	0.237939i	0.381641	+	0.00943488i
$637$	9.16835	−	4.14079i	0.363263	−	0.164064i
$638$	−6.50464	+	8.25281i	−0.257521	+	0.326732i
$639$	−24.8571	+	43.0537i	−0.983330	+	1.70318i
$640$	8.27075	+	46.6989i	0.326930	+	1.84593i
$641$	−29.0489	+	6.17453i	−1.14736	+	0.243879i	−0.742079	−	0.670313i	$-0.766160\pi$
$641$	−29.0489	+	6.17453i	−1.14736	+	0.243879i	−0.405282	+	0.914192i	$0.632827\pi$
$642$	37.6807	+	6.44636i	1.48714	+	0.254417i
$643$	5.07220	+	2.25829i	0.200028	+	0.0890582i	0.504306	−	0.863525i	$-0.331748\pi$
$643$	5.07220	+	2.25829i	0.200028	+	0.0890582i	−0.304278	+	0.952583i	$0.598415\pi$
$644$	−0.429232	−	2.29716i	−0.0169141	−	0.0905209i
$645$	−18.6893	−	57.5198i	−0.735891	−	2.26484i
$646$	−3.56584	−	1.00286i	−0.140296	−	0.0394569i
$647$	6.51484	+	14.6326i	0.256125	+	0.575266i	0.995145	−	0.0984171i	$-0.0313779\pi$
$647$	6.51484	+	14.6326i	0.256125	+	0.575266i	−0.739020	+	0.673683i	$0.764711\pi$
$648$	70.4687	+	30.0927i	2.76827	+	1.18215i
$649$	8.04820	−	3.83257i	0.315920	−	0.150441i
$650$	63.9908	+	3.80429i	2.50993	+	0.149217i
$651$	8.35748	+	6.07206i	0.327555	+	0.237983i
$652$	−0.666513	+	2.79423i	−0.0261027	+	0.109430i
$653$	−1.53248	−	0.325738i	−0.0599705	−	0.0127471i	0.177829	−	0.984061i	$-0.443093\pi$
$653$	−1.53248	−	0.325738i	−0.0599705	−	0.0127471i	−0.237799	+	0.971314i	$0.576426\pi$
$654$	−48.1476	+	38.0136i	−1.88272	+	1.48645i
$655$	3.80359	+	5.23519i	0.148619	+	0.204556i
$656$	10.6452	+	20.7420i	0.415624	+	0.809840i
$657$	−11.3823	+	2.41938i	−0.444065	+	0.0943889i
$658$	12.3189	−	6.08623i	0.480242	−	0.237266i
$659$	−19.9665	−	34.5830i	−0.777785	−	1.34716i	−0.933216	−	0.359316i	$-0.883010\pi$
$659$	−19.9665	−	34.5830i	−0.777785	−	1.34716i	0.155431	−	0.987847i	$-0.450323\pi$
$660$	−67.6181	−	60.7817i	−2.63203	−	2.36593i
$661$	−0.401044	−	0.231543i	−0.0155988	−	0.00900598i	0.492180	−	0.870493i	$-0.336200\pi$
$661$	−0.401044	−	0.231543i	−0.0155988	−	0.00900598i	−0.507779	+	0.861487i	$0.669533\pi$
$662$	−16.8402	−	34.0857i	−0.654514	−	1.32478i
$663$	26.7961	−	19.6879i	1.04067	−	0.764614i
$664$	20.0480	+	43.2376i	0.778013	+	1.67795i
$665$	−7.94377	+	0.834924i	−0.308046	+	0.0323770i
$666$	−38.8863	−	15.4811i	−1.50681	−	0.599880i
$667$	0.853695	−	0.948125i	0.0330552	−	0.0367115i
$668$	5.25396	+	17.6422i	0.203282	+	0.682599i
$669$	−89.0915	−	9.36390i	−3.44448	−	0.362029i
$670$	52.3502	−	2.09520i	2.02246	−	0.0809447i
$671$	−18.3571	+	17.3982i	−0.708666	+	0.671650i
$672$	35.9825	+	12.0678i	1.38806	+	0.465526i
$673$	−11.8655	−	26.6504i	−0.457382	−	1.02730i	−0.984158	−	0.177293i	$-0.943266\pi$
$673$	−11.8655	−	26.6504i	−0.457382	−	1.02730i	0.526776	−	0.850004i	$-0.323401\pi$
$674$	0.952087	−	0.242541i	0.0366730	−	0.00934232i
$675$	183.439	−	59.6031i	7.06059	−	2.29412i
$676$	−22.6970	+	12.6826i	−0.872961	+	0.487791i
$677$	10.5277	+	14.4901i	0.404611	+	0.556899i	0.961894	−	0.273424i	$-0.0881560\pi$
$677$	10.5277	+	14.4901i	0.404611	+	0.556899i	−0.557283	+	0.830323i	$0.688156\pi$
$678$	27.6757	−	33.3260i	1.06288	−	1.27988i
$679$	−18.5956	−	20.6525i	−0.713633	−	0.792570i
$680$	33.4355	−	0.511090i	1.28219	−	0.0195994i
$681$	−42.1454			−1.61501
$682$	3.36338	+	6.39117i	0.128791	+	0.244731i
$683$	−1.06917	−	1.85186i	−0.0409107	−	0.0708594i	0.844845	−	0.535011i	$-0.179693\pi$
$683$	−1.06917	−	1.85186i	−0.0409107	−	0.0708594i	−0.885756	+	0.464152i	$0.846359\pi$
$684$	14.2826	+	0.353094i	0.546111	+	0.0135009i
$685$	44.9478	−	9.55395i	1.71737	−	0.365038i
$686$	18.1491	−	21.8544i	0.692935	−	0.834404i
$687$	1.93604	+	18.4202i	0.0738647	+	0.702775i
$688$	4.61790	+	17.0347i	0.176056	+	0.649442i
$689$	−1.61328	+	5.05686i	−0.0614612	+	0.192651i
$690$	7.70877	+	7.90170i	0.293468	+	0.300812i
$691$	9.26455	−	4.12484i	0.352440	−	0.156916i	−0.222878	−	0.974846i	$-0.571545\pi$
$691$	9.26455	−	4.12484i	0.352440	−	0.156916i	0.575318	+	0.817930i	$0.304878\pi$
$692$	−2.08572	−	26.0149i	−0.0792870	−	0.988936i
$693$	−49.3529	+	17.4418i	−1.87476	+	0.662558i
$694$	25.6415	+	13.4667i	0.973339	+	0.511190i
$695$	7.70724	+	0.810063i	0.292352	+	0.0307274i
$696$	6.70321	+	19.6055i	0.254084	+	0.743146i
$697$	15.6341	−	5.07982i	0.592183	−	0.192412i
$698$	−27.8335	−	35.2535i	−1.05351	−	1.33437i
$699$	4.50315	+	42.8446i	0.170325	+	1.62053i
$700$	47.6334	−	19.8121i	1.80037	−	0.748827i
$701$	−39.4510	−	12.8184i	−1.49005	−	0.484145i	−0.552949	−	0.833215i	$-0.686497\pi$
$701$	−39.4510	−	12.8184i	−1.49005	−	0.484145i	−0.937097	+	0.349070i	$0.886497\pi$
$702$	−49.6576	+	60.4493i	−1.87421	+	2.28151i
$703$	−3.57322			−0.134766
$704$	18.8321	+	18.6910i	0.709760	+	0.704444i
$705$	−32.4533	+	56.2107i	−1.22226	+	2.11702i
$706$	−4.71380	−	3.14468i	−0.177406	−	0.118352i
$707$	−0.356945	+	1.09856i	−0.0134243	+	0.0413157i
$708$	2.26875	−	17.4299i	0.0852650	−	0.655056i
$709$	−3.25137	+	7.30269i	−0.122108	+	0.274258i	−0.964249	−	0.264999i	$-0.914628\pi$
$709$	−3.25137	+	7.30269i	−0.122108	+	0.274258i	0.842141	+	0.539257i	$0.181295\pi$
$710$	−5.52558	−	37.9139i	−0.207371	−	1.42288i
$711$	−29.2197	+	32.4517i	−1.09582	+	1.21704i
$712$	−26.6357	−	23.2557i	−0.998215	−	0.871543i
$713$	−0.356656	−	0.801062i	−0.0133569	−	0.0300000i
$714$	12.4424	−	23.6912i	0.465647	−	0.886622i
$715$	42.6170	−	26.3924i	1.59378	−	0.987021i
$716$	6.26264	−	4.31770i	0.234046	−	0.161360i
$717$	32.8325	−	14.6180i	1.22615	−	0.545918i
$718$	−33.9602	+	8.65123i	−1.26738	+	0.322861i
$719$	12.1239	+	10.9164i	0.452146	+	0.407114i	0.863490	−	0.504366i	$-0.168274\pi$
$719$	12.1239	+	10.9164i	0.452146	+	0.407114i	−0.411344	+	0.911480i	$0.634941\pi$
$720$	−124.483	+	33.7458i	−4.63920	+	1.25763i
$721$	−4.35090	−	1.93714i	−0.162036	−	0.0721430i
$722$	−24.0584	+	8.89562i	−0.895362	+	0.331061i
$723$	88.9037	+	28.8866i	3.30637	+	1.07430i
$724$	19.8476	−	10.8140i	0.737629	−	0.401898i
$725$	24.3915	+	14.0824i	0.905878	+	0.523009i
$726$	−50.5114	−	6.00554i	−1.87465	−	0.222887i
$727$			22.9699i			0.851908i	0.904745	+	0.425954i	$0.140061\pi$
$727$			22.9699i			0.851908i	−0.904745	+	0.425954i	$0.859939\pi$
$728$	−11.9473	+	17.1781i	−0.442795	+	0.636662i
$729$	−17.8870	+	55.0505i	−0.662481	+	2.03891i
$730$	5.72960	−	6.89936i	0.212062	−	0.255357i
$731$	12.3764	−	1.30081i	0.457757	−	0.0481122i
$732$	9.15993	+	49.0222i	0.338561	+	1.81191i
$733$	15.5398	+	47.8267i	0.573977	+	1.76652i	0.639637	+	0.768677i	$0.279085\pi$
$733$	15.5398	+	47.8267i	0.573977	+	1.76652i	−0.0656602	+	0.997842i	$0.520915\pi$
$734$	1.10650	−	3.93436i	0.0408416	−	0.145220i
$735$	−3.99762	+	38.0348i	−0.147454	+	1.40293i
$736$	−2.13292	−	2.41426i	−0.0786204	−	0.0889906i
$737$	23.2657	−	17.8291i	0.857002	−	0.656743i
$738$	−53.5976	+	33.8724i	−1.97296	+	1.24686i
$739$	−14.7390	−	33.1044i	−0.542184	−	1.21777i	−0.952141	−	0.305661i	$-0.901123\pi$
$739$	−14.7390	−	33.1044i	−0.542184	−	1.21777i	0.409956	−	0.912105i	$-0.365544\pi$
$740$	30.9154	−	9.20677i	1.13647	−	0.338448i
$741$	−3.32779	+	10.4310i	−0.122249	+	0.383192i
$742$	0.616055	+	4.22708i	0.0226161	+	0.155181i
$743$	−21.0655	+	2.21407i	−0.772816	+	0.0812263i	−0.482724	−	0.875772i	$-0.660353\pi$
$743$	−21.0655	+	2.21407i	−0.772816	+	0.0812263i	−0.290092	+	0.956999i	$0.593686\pi$
$744$	14.1837	+	1.27192i	0.520001	+	0.0466307i
$745$	0.618577	+	2.91018i	0.0226629	+	0.106621i
$746$	7.45913	−	3.68522i	0.273098	−	0.134926i
$747$	−112.247	+	64.8057i	−4.10690	+	2.37112i
$748$	15.1261	−	11.0090i	0.553065	−	0.402529i
$749$			16.9618i			0.619770i
$750$	−81.4544	+	122.098i	−2.97429	+	4.45840i
$751$	−1.17779	+	1.06049i	−0.0429783	+	0.0386978i	−0.690340	−	0.723485i	$-0.742539\pi$
$751$	−1.17779	+	1.06049i	−0.0429783	+	0.0386978i	0.647362	+	0.762183i	$0.275872\pi$
$752$	10.2697	−	15.9157i	0.374496	−	0.580385i
$753$	79.9040	−	58.0537i	2.91186	−	2.11559i
$754$	−11.4117	+	0.517751i	−0.415590	+	0.0188554i
$755$	−13.1524	−	40.4788i	−0.478664	−	1.47318i
$756$	−14.6077	+	61.2401i	−0.531277	+	2.22728i
$757$	11.8817	−	5.29006i	0.431846	−	0.192270i	−0.179289	−	0.983796i	$-0.557380\pi$
$757$	11.8817	−	5.29006i	0.431846	−	0.192270i	0.611135	+	0.791526i	$0.290713\pi$
$758$	1.46735	+	36.6628i	0.0532965	+	1.33165i
$759$	6.07187	+	1.12932i	0.220395	+	0.0409916i
$760$	−8.80808	+	6.60746i	−0.319502	+	0.239678i
$761$	0.123220	−	1.17236i	0.00446671	−	0.0424979i	−0.992062	−	0.125754i	$-0.959865\pi$
$761$	0.123220	−	1.17236i	0.00446671	−	0.0424979i	0.996528	+	0.0832556i	$0.0265318\pi$
$762$	26.8149	+	27.4860i	0.971402	+	0.995713i
$763$	−20.2275	−	18.2129i	−0.732283	−	0.659351i
$764$	34.8006	+	40.6258i	1.25904	+	1.46979i
$765$	9.50580	+	90.4416i	0.343683	+	3.26992i
$766$	−3.68943	+	21.5657i	−0.133305	+	0.779202i
$767$	8.87381	+	3.89426i	0.320415	+	0.140613i
$768$	51.1100	−	11.1768i	1.84427	−	0.403308i
$769$	−19.3359	+	33.4907i	−0.697269	+	1.20771i	0.272140	+	0.962258i	$0.412268\pi$
$769$	−19.3359	+	33.4907i	−0.697269	+	1.20771i	−0.969410	+	0.245448i	$0.921065\pi$
$770$	21.5234	−	34.1201i	0.775649	−	1.22960i
$771$	25.4114	−	14.6713i	0.915170	−	0.528374i
$772$	0.336760	−	13.6220i	0.0121203	−	0.490265i
$773$	5.74806	+	27.0425i	0.206743	+	0.972650i	0.952053	+	0.305932i	$0.0989681\pi$
$773$	5.74806	+	27.0425i	0.206743	+	0.972650i	−0.745310	+	0.666718i	$0.767699\pi$
$774$	−45.0197	+	16.6461i	−1.61820	+	0.598330i
$775$	15.6606	−	11.3781i	0.562547	−	0.408714i
$776$	−36.6116	−	11.2802i	−1.31428	−	0.404934i
$777$	5.36698	−	25.2496i	0.192539	−	0.905826i
$778$	−1.40742	−	5.52478i	−0.0504584	−	0.198073i
$779$	−3.18163	+	4.37914i	−0.113994	+	0.156899i
$780$	1.91535	−	98.8230i	0.0685807	−	3.53843i
$781$	−14.7455	−	15.5582i	−0.527636	−	0.556715i
$782$	−1.92014	+	1.21348i	−0.0686639	+	0.0433940i
$783$	−31.4000	+	13.9802i	−1.12215	+	0.499612i
$784$	1.71364	−	11.0283i	0.0612016	−	0.393867i
$785$	−47.6061	+	15.4682i	−1.69914	+	0.552083i
$786$	5.60281	−	4.42355i	0.199846	−	0.157783i
$787$	−1.11488	+	2.50406i	−0.0397411	+	0.0892600i	−0.932325	−	0.361621i	$-0.882223\pi$
$787$	−1.11488	+	2.50406i	−0.0397411	+	0.0892600i	0.892584	+	0.450881i	$0.148890\pi$
$788$	19.4322	−	25.4013i	0.692242	−	0.904885i
$789$	14.0900	+	66.2883i	0.501618	+	2.35992i
$790$	2.17656	−	33.5844i	0.0774386	−	1.19488i
$791$	16.6457	+	9.61038i	0.591852	+	0.341706i
$792$	−46.0535	+	55.5498i	−1.63644	+	1.97388i
$793$	−27.3595	−	2.72803i	−0.971564	−	0.0968753i
$794$	−20.4847	+	10.1206i	−0.726974	+	0.359165i
$795$	−13.5022	−	14.9957i	−0.478875	−	0.531844i
$796$	−21.7724	+	9.05578i	−0.771703	+	0.320974i
$797$	−0.793197	−	0.353154i	−0.0280965	−	0.0125094i	0.392640	−	0.919692i	$-0.371562\pi$
$797$	−0.793197	−	0.353154i	−0.0280965	−	0.0125094i	−0.420737	+	0.907183i	$0.638228\pi$
$798$	1.27076	+	8.71937i	0.0449845	+	0.308662i
$799$	−9.92499	−	8.93650i	−0.351121	−	0.316151i
$800$	42.3422	−	57.1379i	1.49702	−	2.02013i
$801$	56.5221	−	77.7960i	1.99711	−	2.74879i
$802$	28.6560	−	1.14690i	1.01188	−	0.0404983i
$803$	0.396817	−	5.00171i	0.0140034	−	0.176506i
$804$	−4.61897	−	57.6118i	−0.162898	−	2.03181i
$805$	−2.87899	+	3.96260i	−0.101471	+	0.139663i
$806$	−2.86505	+	7.30988i	−0.100917	+	0.257480i
$807$	44.8111	−	14.5600i	1.57743	−	0.512537i
$808$	0.354829	+	1.55228i	0.0124828	+	0.0546092i
$809$	21.0107	−	2.20831i	0.738697	−	0.0776402i	0.272296	−	0.962214i	$-0.412217\pi$
$809$	21.0107	−	2.20831i	0.738697	−	0.0776402i	0.466401	+	0.884573i	$0.345550\pi$
$810$	−55.6970	−	150.634i	−1.95699	−	5.29274i
$811$	38.5753	+	12.5339i	1.35456	+	0.440123i	0.894224	−	0.447621i	$-0.147729\pi$
$811$	38.5753	+	12.5339i	1.35456	+	0.440123i	0.460337	+	0.887744i	$0.347729\pi$
$812$	−8.07285	+	4.39850i	−0.283301	+	0.154357i
$813$	3.98581	+	6.90362i	0.139788	+	0.242121i
$814$	11.1712	−	14.1736i	0.391551	−	0.496783i
$815$	5.21419	−	3.01042i	0.182645	−	0.105450i
$816$	−2.03841	−	36.8325i	−0.0713585	−	1.28940i
$817$	−3.04521	+	2.74192i	−0.106539	+	0.0959278i
$818$	−4.33233	+	25.3237i	−0.151476	+	0.885421i
$819$	−49.4317	−	28.1887i	−1.72728	−	0.984992i
$820$	16.2441	−	46.0860i	0.567268	−	1.60939i
$821$	38.5827	+	8.20100i	1.34654	+	0.286217i	0.824094	−	0.566453i	$-0.191685\pi$
$821$	38.5827	+	8.20100i	1.34654	+	0.286217i	0.522450	+	0.852670i	$0.325018\pi$
$822$	−12.5140	−	49.1233i	−0.436475	−	1.71337i
$823$	2.44637	+	0.257124i	0.0852750	+	0.00896276i	0.147070	−	0.989126i	$-0.453016\pi$
$823$	2.44637	+	0.257124i	0.0852750	+	0.00896276i	−0.0617949	+	0.998089i	$0.519682\pi$
$824$	−6.51817	+	0.785986i	−0.227071	+	0.0273811i
$825$	3.48302	+	136.296i	0.121263	+	4.74520i
$826$	7.79263	−	0.311883i	0.271140	−	0.0108518i
$827$	−20.2609	+	27.8867i	−0.704541	+	0.969717i	0.295357	+	0.955387i	$0.404562\pi$
$827$	−20.2609	+	27.8867i	−0.704541	+	0.969717i	−0.999897	+	0.0143301i	$0.995438\pi$
$828$	6.02134	−	6.36379i	0.209256	−	0.221157i
$829$	34.7265	+	7.38135i	1.20610	+	0.256365i	0.766748	−	0.641949i	$-0.221874\pi$
$829$	34.7265	+	7.38135i	1.20610	+	0.256365i	0.439355	+	0.898314i	$0.355207\pi$
$830$	36.9475	−	92.8068i	1.28247	−	3.22137i
$831$	28.8951	−	20.9935i	1.00236	−	0.728257i
$832$	−1.98330	+	28.7761i	−0.0687586	+	0.997633i
$833$	−7.48413	−	2.43174i	−0.259310	−	0.0842548i
$834$	0.552898	−	8.53122i	0.0191453	−	0.295412i
$835$	19.2910	−	33.4129i	0.667591	−	1.15630i
$836$	−1.89874	+	5.86032i	−0.0656693	+	0.202683i
$837$			23.6235i			0.816547i
$838$	39.7130	+	26.4933i	1.37186	+	0.915197i
$839$	27.9154	−	5.93361i	0.963748	−	0.204851i	0.300942	−	0.953642i	$-0.402699\pi$
$839$	27.9154	−	5.93361i	0.963748	−	0.204851i	0.662806	+	0.748791i	$0.269366\pi$
$840$	−33.4610	−	72.1655i	−1.15451	−	2.48994i
$841$	21.9077	+	9.75393i	0.755437	+	0.336342i
$842$	27.2499	+	10.8485i	0.939095	+	0.373865i
$843$	−17.0603	+	80.2626i	−0.587589	+	2.76439i
$844$	−28.5944	+	8.51559i	−0.984261	+	0.293119i
$845$	52.0040	+	16.2855i	1.78899	+	0.560237i
$846$	45.6048	+	23.9512i	1.56792	+	0.823461i
$847$	−1.15278	−	22.5402i	−0.0396100	−	0.774491i
$848$	3.71923	+	4.56549i	0.127719	+	0.156779i
$849$	22.7602	+	2.39219i	0.781127	+	0.0820997i
$850$	−35.0162	−	35.8926i	−1.20105	−	1.23110i
$851$	−1.46616	+	1.62833i	−0.0502592	+	0.0558185i
$852$	−41.5477	+	7.76331i	−1.42340	+	0.265967i
$853$	−2.25758	+	1.64022i	−0.0772979	+	0.0561602i	−0.625763	−	0.780013i	$-0.715212\pi$
$853$	−2.25758	+	1.64022i	−0.0772979	+	0.0561602i	0.548465	+	0.836173i	$0.315212\pi$
$854$	−20.7542	+	7.67390i	−0.710195	+	0.262595i
$855$	−20.0369	−	22.2532i	−0.685247	−	0.761044i
$856$	11.9992	+	20.0684i	0.410124	+	0.685925i
$857$		−	42.7884i		−	1.46162i	−0.682578	−	0.730812i	$-0.739141\pi$
$857$		−	42.7884i		−	1.46162i	0.682578	−	0.730812i	$-0.260859\pi$
$858$	−30.9718	−	45.8112i	−1.05736	−	1.56397i
$859$		−	8.56178i		−	0.292124i	−0.989275	−	0.146062i	$-0.953340\pi$
$859$		−	8.56178i		−	0.292124i	0.989275	−	0.146062i	$-0.0466599\pi$
$860$	19.2822	−	31.5694i	0.657519	−	1.07651i
$861$	−26.1658	−	29.0601i	−0.891728	−	0.990364i
$862$	−9.58212	−	25.9151i	−0.326368	−	0.882671i
$863$	19.3601	−	14.0660i	0.659026	−	0.478811i	−0.207308	−	0.978276i	$-0.566470\pi$
$863$	19.3601	−	14.0660i	0.659026	−	0.478811i	0.866334	+	0.499465i	$0.166470\pi$
$864$	26.0395	+	82.7904i	0.885883	+	2.81659i
$865$	−36.6017	+	40.6503i	−1.24450	+	1.38215i
$866$	14.3186	−	13.9690i	0.486564	−	0.474684i
$867$	29.4156	+	3.09170i	0.999006	+	0.105000i
$868$	0.504964	+	6.29834i	0.0171396	+	0.213780i
$869$	−9.82785	−	16.0603i	−0.333387	−	0.544809i
$870$	20.1923	−	38.4475i	0.684583	−	1.30349i
$871$	31.2036	+	6.45865i	1.05729	+	0.218843i
$872$	−36.8165	−	7.23930i	−1.24676	−	0.245154i
$873$	21.6613	−	101.909i	0.733125	−	3.44908i
$874$	0.276647	−	0.694898i	0.00935772	−	0.0235053i
$875$	−59.4935	−	26.4882i	−2.01125	−	0.895465i
$876$	−7.85774	−	6.01121i	−0.265489	−	0.203100i
$877$	−2.94022	+	0.624962i	−0.0992840	+	0.0211035i	−0.257286	−	0.966335i	$-0.582828\pi$
$877$	−2.94022	+	0.624962i	−0.0992840	+	0.0211035i	0.158002	+	0.987439i	$0.449495\pi$
$878$	−0.0142769	+	0.0214007i	−0.000481821	+	0.000722239i
$879$			84.9138i			2.86407i
$880$	1.32811	−	55.5956i	0.0447707	−	1.87413i
$881$	−19.6035	+	33.9542i	−0.660457	+	1.14395i	0.320038	+	0.947405i	$0.396304\pi$
$881$	−19.6035	+	33.9542i	−0.660457	+	1.14395i	−0.980496	+	0.196541i	$0.937029\pi$
$882$	30.2882	+	1.96294i	1.01986	+	0.0660957i
$883$	−20.6637	−	6.71404i	−0.695389	−	0.225945i	−0.0600684	−	0.998194i	$-0.519132\pi$
$883$	−20.6637	−	6.71404i	−0.695389	−	0.225945i	−0.635320	+	0.772249i	$0.719132\pi$
$884$	19.8079	+	4.61321i	0.666210	+	0.155159i
$885$	−29.8043	+	21.6541i	−1.00186	+	0.727895i
$886$	−17.6111	−	7.01118i	−0.591656	−	0.235545i
$887$	−18.4823	−	3.92853i	−0.620575	−	0.131907i	−0.113114	−	0.993582i	$-0.536083\pi$
$887$	−18.4823	−	3.92853i	−0.620575	−	0.131907i	−0.507461	+	0.861675i	$0.669416\pi$
$888$	−11.5122	−	33.6710i	−0.386325	−	1.12992i
$889$	−10.0146	+	13.7839i	−0.335878	+	0.462296i
$890$	2.96376	+	74.0517i	0.0993454	+	2.48222i
$891$	−74.0163	−	50.9388i	−2.47964	−	1.70651i
$892$	−31.1009	−	45.1106i	−1.04134	−	1.51041i
$893$	4.37357	+	0.459681i	0.146356	+	0.0153826i
$894$	3.18052	−	0.810226i	0.106372	−	0.0270980i
$895$	−15.5949	−	3.31480i	−0.521281	−	0.110802i
$896$	8.71218	+	21.5165i	0.291053	+	0.718814i
$897$	3.38800	+	5.79651i	0.113122	+	0.193540i
$898$	40.6832	+	6.96001i	1.35762	+	0.232259i
$899$	−2.56353	+	2.30822i	−0.0854987	+	0.0769833i
$900$	165.052	+	100.812i	5.50175	+	3.36041i
$901$	3.59578	−	2.07602i	0.119793	−	0.0691624i
$902$	−7.42338	−	26.3111i	−0.247172	−	0.876065i
$903$	−14.8015	−	25.6370i	−0.492563	−	0.853144i
$904$	26.4930	−	0.404968i	0.881145	−	0.0134690i
$905$	−45.0545	−	14.6391i	−1.49766	−	0.486620i
$906$	−44.0385	+	16.2833i	−1.46308	+	0.540975i
$907$	33.4864	−	3.51956i	1.11190	−	0.116865i	0.469277	−	0.883051i	$-0.344515\pi$
$907$	33.4864	−	3.51956i	1.11190	−	0.116865i	0.642619	+	0.766186i	$0.277848\pi$
$908$	−16.7702	−	19.5773i	−0.556538	−	0.649695i
$909$	−4.11844	+	1.33816i	−0.136600	+	0.0443840i
$910$	43.3630	−	6.55629i	1.43747	−	0.217339i
$911$	−7.62050	+	10.4887i	−0.252478	+	0.347507i	−0.916377	−	0.400316i	$-0.868901\pi$
$911$	−7.62050	+	10.4887i	−0.252478	+	0.347507i	0.663899	+	0.747822i	$0.268901\pi$
$912$	7.67181	+	9.41741i	0.254039	+	0.311842i
$913$	−13.0120	−	54.3497i	−0.430633	−	1.79871i
$914$	−1.15708	−	28.9104i	−0.0382727	−	0.956271i
$915$	61.4386	−	84.5630i	2.03110	−	2.79557i
$916$	−7.78614	+	8.22896i	−0.257261	+	0.271893i
$917$	2.35382	+	2.11939i	0.0777300	+	0.0699884i
$918$	60.5545	−	8.82521i	1.99860	−	0.291275i
$919$	45.6764	+	20.3364i	1.50672	+	0.670837i	0.983426	−	0.181312i	$-0.0580345\pi$
$919$	45.6764	+	20.3364i	1.50672	+	0.670837i	0.523299	+	0.852149i	$0.324701\pi$
$920$	−0.603064	+	6.72504i	−0.0198824	+	0.221718i
$921$	−19.6742	−	21.8504i	−0.648287	−	0.719996i
$922$	13.9319	+	28.1990i	0.458822	+	0.928685i
$923$	2.31209	−	23.1880i	0.0761034	−	0.763242i
$924$	−38.5592	−	22.2194i	−1.26851	−	0.730964i
$925$	−41.8905	−	24.1855i	−1.37735	−	0.795215i
$926$	−9.79366	−	0.634715i	−0.321840	−	0.0208580i
$927$	−3.71223	−	17.4647i	−0.121926	−	0.573615i
$928$	−6.43983	+	10.9150i	−0.211398	+	0.358304i
$929$	11.5475	−	25.9361i	0.378861	−	0.850936i	−0.618989	−	0.785400i	$-0.712458\pi$
$929$	11.5475	−	25.9361i	0.378861	−	0.850936i	0.997850	−	0.0655364i	$-0.0208758\pi$
$930$	−18.4955	−	23.4262i	−0.606493	−	0.768176i
$931$	2.46437	−	0.800723i	0.0807666	−	0.0262426i
$932$	−18.1102	+	19.1402i	−0.593220	+	0.626958i
$933$	−48.3867	+	21.5431i	−1.58411	+	0.705291i
$934$	−19.9438	−	31.5578i	−0.652581	−	1.03260i
$935$	−38.5501	−	7.16999i	−1.26072	−	0.234484i
$936$	−78.4268	+	1.61756i	−2.56346	+	0.0528717i
$937$	−7.55421	+	10.3975i	−0.246785	+	0.339671i	−0.914382	−	0.404852i	$-0.867323\pi$
$937$	−7.55421	+	10.3975i	−0.246785	+	0.339671i	0.667597	+	0.744523i	$0.267323\pi$
$938$	24.8506	−	6.33061i	0.811401	−	0.206702i
$939$	8.50366	−	40.0066i	0.277506	−	1.30556i
$940$	−39.0244	+	7.29183i	−1.27284	+	0.237833i
$941$	32.3973	−	23.5380i	1.05612	−	0.767317i	0.0827548	−	0.996570i	$-0.473628\pi$
$941$	32.3973	−	23.5380i	1.05612	−	0.767317i	0.973367	+	0.229253i	$0.0736282\pi$
$942$	19.1503	+	51.7926i	0.623952	+	1.68749i
$943$	0.690113	+	3.24673i	0.0224732	+	0.105728i
$944$	8.99927	−	5.88170i	0.292901	−	0.191433i
$945$	114.278	−	65.9781i	3.71745	−	2.14627i
$946$	−1.35566	−	20.6515i	−0.0440764	−	0.671437i
$947$	−23.4205	+	40.5655i	−0.761063	+	1.31820i	0.181240	+	0.983439i	$0.441989\pi$
$947$	−23.4205	+	40.5655i	−0.761063	+	1.31820i	−0.942303	+	0.334761i	$0.891344\pi$
$948$	−37.1152	−	0.917556i	−1.20544	−	0.0298008i
$949$	4.39562	−	3.22959i	0.142688	−	0.104837i
$950$	16.2749	+	2.78429i	0.528029	+	0.0903343i
$951$	9.14334	+	86.9930i	0.296493	+	2.82094i
$952$	15.9560	−	3.64730i	0.517137	−	0.118210i
$953$	40.1214	+	36.1255i	1.29966	+	1.17022i	0.974457	+	0.224575i	$0.0720994\pi$
$953$	40.1214	+	36.1255i	1.29966	+	1.17022i	0.325203	+	0.945644i	$0.394567\pi$
$954$	−11.4630	+	11.1831i	−0.371128	+	0.362067i
$955$	11.7196	−	111.504i	0.379237	−	3.60820i
$956$	19.8548	+	9.43460i	0.642149	+	0.305137i
$957$	−3.15609	−	24.0903i	−0.102022	−	0.778728i
$958$	−28.0407	+	1.12227i	−0.905954	+	0.0362588i
$959$	20.5475	−	9.14834i	0.663513	−	0.295415i
$960$	−90.6412	−	61.7119i	−2.92543	−	1.99174i
$961$	−8.84688	−	27.2279i	−0.285383	−	0.878320i
$962$	19.5987	−	0.889197i	0.631889	−	0.0286689i
$963$	−51.4442	+	37.3764i	−1.65777	+	1.20444i
$964$	21.9576	+	52.7917i	0.707206	+	1.70031i
$965$	−21.2238	+	19.1100i	−0.683220	+	0.615174i
$966$	4.49487	+	2.99862i	0.144620	+	0.0964791i
$967$			40.8165i			1.31257i	0.754513	+	0.656285i	$0.227873\pi$
$967$			40.8165i			1.31257i	−0.754513	+	0.656285i	$0.772127\pi$
$968$	−17.3094	−	25.8531i	−0.556346	−	0.830951i
$969$	7.41716	−	4.28230i	0.238274	−	0.137567i
$970$	35.5663	+	71.9885i	1.14197	+	2.31141i
$971$	6.57407	+	30.9286i	0.210972	+	0.992546i	0.948389	+	0.317108i	$0.102712\pi$
$971$	6.57407	+	30.9286i	0.210972	+	0.992546i	−0.737417	+	0.675437i	$0.763955\pi$
$972$	−78.5879	+	32.6870i	−2.52071	+	1.04844i
$973$	3.77245	−	0.396500i	0.120939	−	0.0127112i
$974$	−34.9773	+	5.09759i	−1.12074	+	0.163337i
$975$	−109.616	+	99.7632i	−3.51052	+	3.19498i
$976$	−19.1268	+	23.7615i	−0.612234	+	0.760586i
$977$	24.1271	+	54.1904i	0.771895	+	1.73370i	0.674276	+	0.738480i	$0.264456\pi$
$977$	24.1271	+	54.1904i	0.771895	+	1.73370i	0.0976190	+	0.995224i	$0.468877\pi$
$978$	−3.54833	−	5.61466i	−0.113463	−	0.179537i
$979$	25.2201	+	32.9104i	0.806037	+	1.05182i
$980$	−19.2585	+	13.2776i	−0.615191	+	0.424136i
$981$	10.6662	−	101.482i	0.340546	−	3.24008i
$982$	55.4826	+	15.6039i	1.77052	+	0.497940i
$983$	1.15339	+	3.54977i	0.0367875	+	0.113220i	0.967764	−	0.251859i	$-0.0810419\pi$
$983$	1.15339	+	3.54977i	0.0367875	+	0.113220i	−0.930976	+	0.365079i	$0.881042\pi$
$984$	−51.5160	−	15.8723i	−1.64227	−	0.505990i
$985$	−66.6646	+	7.00674i	−2.12411	+	0.223253i
$986$	6.87437	+	5.70885i	0.218924	+	0.181807i
$987$	−9.81738	+	30.2148i	−0.312491	+	0.961748i
$988$	−6.16955	+	2.60480i	−0.196279	+	0.0828699i
$989$			2.51278i			0.0799017i
$990$	150.913	−	9.90665i	4.79632	−	0.314854i
$991$	−13.0781	−	7.55064i	−0.415439	−	0.239854i	0.277685	−	0.960672i	$-0.410433\pi$
$991$	−13.0781	−	7.55064i	−0.415439	−	0.239854i	−0.693124	+	0.720818i	$0.743766\pi$
$992$	5.05305	+	7.09470i	0.160435	+	0.225257i
$993$	83.6025	+	27.1641i	2.65305	+	0.862027i
$994$	−6.50386	−	17.5898i	−0.206290	−	0.557916i
$995$	45.1506	+	20.1023i	1.43137	+	0.637287i
$996$	−103.928	−	36.6319i	−3.29310	−	1.16073i
$997$	−15.9675	−	14.3772i	−0.505697	−	0.455331i	0.376361	−	0.926473i	$-0.377175\pi$
$997$	−15.9675	−	14.3772i	−0.505697	−	0.455331i	−0.882058	+	0.471142i	$0.843842\pi$
$998$	4.58780	+	18.0093i	0.145224	+	0.570074i
$999$	53.9271	−	24.0099i	1.70618	−	0.759640i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bn.a.95.3	✓	640
4.3	odd	2	inner	572.2.bn.a.95.26	yes	640
11.8	odd	10	inner	572.2.bn.a.459.51	yes	640
13.10	even	6	inner	572.2.bn.a.491.25	yes	640
44.19	even	10	inner	572.2.bn.a.459.25	yes	640
52.23	odd	6	inner	572.2.bn.a.491.51	yes	640
143.140	odd	30	inner	572.2.bn.a.283.26	yes	640
572.283	even	30	inner	572.2.bn.a.283.3	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bn.a.95.3	✓	640	1.1	even	1	trivial
572.2.bn.a.95.26	yes	640	4.3	odd	2	inner
572.2.bn.a.283.3	yes	640	572.283	even	30	inner
572.2.bn.a.283.26	yes	640	143.140	odd	30	inner
572.2.bn.a.459.25	yes	640	44.19	even	10	inner
572.2.bn.a.459.51	yes	640	11.8	odd	10	inner
572.2.bn.a.491.25	yes	640	13.10	even	6	inner
572.2.bn.a.491.51	yes	640	52.23	odd	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-1.41125 - 0.0914616i) q^{2} +(2.42998 - 2.18797i) q^{3} +(1.98327 + 0.258151i) q^{4} +(-2.46392 - 3.39130i) q^{5} +(-3.62944 + 2.86552i) q^{6} +(-1.52478 - 1.37292i) q^{7} +(-2.77528 - 0.545709i) q^{8} +(0.804035 - 7.64988i) q^{9} +O(q^{10})\)	\(q+(-1.41125 - 0.0914616i) q^{2} +(2.42998 - 2.18797i) q^{3} +(1.98327 + 0.258151i) q^{4} +(-2.46392 - 3.39130i) q^{5} +(-3.62944 + 2.86552i) q^{6} +(-1.52478 - 1.37292i) q^{7} +(-2.77528 - 0.545709i) q^{8} +(0.804035 - 7.64988i) q^{9} +(3.16704 + 5.01133i) q^{10} +(3.06336 + 1.27115i) q^{11} +(5.38414 - 3.71203i) q^{12} +(1.13246 + 3.42309i) q^{13} +(2.02628 + 2.07699i) q^{14} +(-13.4073 - 2.84982i) q^{15} +(3.86672 + 1.02397i) q^{16} +(1.14715 - 2.57654i) q^{17} +(-1.83437 + 10.7224i) q^{18} +(0.193086 + 0.908397i) q^{19} +(-4.01115 - 7.36192i) q^{20} -6.70908 q^{21} +(-4.20692 - 2.07409i) q^{22} +(0.493187 + 0.284742i) q^{23} +(-7.93789 + 4.74616i) q^{24} +(-3.88490 + 11.9565i) q^{25} +(-1.28511 - 4.93442i) q^{26} +(-9.01795 - 12.4121i) q^{27} +(-2.66962 - 3.11648i) q^{28} +(0.465790 - 2.19137i) q^{29} +(18.6605 + 5.24807i) q^{30} +(-1.24570 - 0.905052i) q^{31} +(-5.36326 - 1.79873i) q^{32} +(10.2251 - 3.61366i) q^{33} +(-1.85457 + 3.53122i) q^{34} +(-0.899033 + 8.55372i) q^{35} +(3.56944 - 14.9642i) q^{36} +(-0.799958 + 3.76350i) q^{37} +(-0.189409 - 1.29964i) q^{38} +(10.2415 + 5.84025i) q^{39} +(4.98742 + 10.7564i) q^{40} +(3.90006 + 4.33145i) q^{41} +(9.46820 + 0.613623i) q^{42} +(2.20619 + 3.82124i) q^{43} +(5.74732 + 3.31184i) q^{44} +(-27.9241 + 16.1220i) q^{45} +(-0.669969 - 0.446950i) q^{46} +(1.46330 - 4.50357i) q^{47} +(11.6365 - 5.97203i) q^{48} +(-0.291651 - 2.77487i) q^{49} +(6.57613 - 16.5183i) q^{50} +(-2.84982 - 8.77086i) q^{51} +(1.36231 + 7.08125i) q^{52} +(1.19101 + 0.865317i) q^{53} +(11.5914 + 18.3415i) q^{54} +(-3.23703 - 13.5208i) q^{55} +(3.48248 + 4.64232i) q^{56} +(2.45674 + 1.78492i) q^{57} +(-0.857773 + 3.04997i) q^{58} +(1.79843 - 1.99736i) q^{59} +(-25.8547 - 9.11307i) q^{60} +(-3.10169 + 6.96650i) q^{61} +(1.67522 + 1.39119i) q^{62} +(-11.7286 + 10.5605i) q^{63} +(7.40440 + 3.02900i) q^{64} +(8.81840 - 12.2747i) q^{65} +(-14.7608 + 4.16458i) q^{66} +(4.41888 - 7.65373i) q^{67} +(2.94024 - 4.81383i) q^{68} +(1.82144 - 0.387159i) q^{69} +(2.05110 - 11.9892i) q^{70} +(-5.90432 - 2.62877i) q^{71} +(-6.40603 + 20.7918i) q^{72} +(-0.467484 - 1.43877i) q^{73} +(1.47316 - 5.23809i) q^{74} +(16.7202 + 37.5541i) q^{75} +(0.148438 + 1.85144i) q^{76} +(-2.92576 - 6.14395i) q^{77} +(-13.9191 - 9.17877i) q^{78} +(-4.59285 - 3.33690i) q^{79} +(-6.05471 - 15.6361i) q^{80} +(-26.4990 - 5.63255i) q^{81} +(-5.10781 - 6.46948i) q^{82} +(-9.90426 - 13.6320i) q^{83} +(-13.3059 - 1.73195i) q^{84} +(-11.5643 + 2.45806i) q^{85} +(-2.76400 - 5.59451i) q^{86} +(-3.66278 - 6.34412i) q^{87} +(-7.80802 - 5.19950i) q^{88} +(10.8266 + 6.25072i) q^{89} +(40.8825 - 20.1982i) q^{90} +(2.97285 - 6.77422i) q^{91} +(0.904617 + 0.692036i) q^{92} +(-5.00725 + 0.526283i) q^{93} +(-2.47699 + 6.22184i) q^{94} +(2.60489 - 2.89303i) q^{95} +(-16.9682 + 7.36375i) q^{96} +(13.4704 + 1.41580i) q^{97} +(0.157799 + 3.94272i) q^{98} +(12.1872 - 22.4123i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9}+O(q^{10}) \) 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9	\( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9} - 4 q^{12} - 20 q^{13} - 12 q^{14} - 19 q^{16} - 10 q^{17} - 45 q^{20} - 15 q^{22} - 15 q^{24} + 104 q^{25} - 20 q^{26} - 15 q^{28} - 10 q^{29} + 45 q^{30} - 24 q^{33} + 4 q^{36} - 18 q^{37} - 14 q^{38} - 20 q^{40} - 30 q^{41} - 13 q^{42} - 108 q^{45} - 15 q^{46} + 35 q^{48} - 74 q^{49} - 90 q^{50} + 15 q^{52} - 8 q^{53} + 50 q^{56} + 27 q^{58} - 10 q^{61} - 5 q^{62} - 84 q^{64} - 146 q^{66} - 70 q^{68} - 26 q^{69} - 15 q^{72} - 55 q^{74} + 44 q^{77} + 24 q^{78} - 39 q^{80} + 30 q^{81} - 29 q^{82} + 30 q^{84} - 30 q^{85} - 75 q^{88} - 24 q^{89} + 30 q^{90} + 14 q^{92} + 66 q^{93} - 5 q^{94} - 30 q^{97}+O(q^{100}) \) 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9 - 4 * q^12 - 20 * q^13 - 12 * q^14 - 19 * q^16 - 10 * q^17 - 45 * q^20 - 15 * q^22 - 15 * q^24 + 104 * q^25 - 20 * q^26 - 15 * q^28 - 10 * q^29 + 45 * q^30 - 24 * q^33 + 4 * q^36 - 18 * q^37 - 14 * q^38 - 20 * q^40 - 30 * q^41 - 13 * q^42 - 108 * q^45 - 15 * q^46 + 35 * q^48 - 74 * q^49 - 90 * q^50 + 15 * q^52 - 8 * q^53 + 50 * q^56 + 27 * q^58 - 10 * q^61 - 5 * q^62 - 84 * q^64 - 146 * q^66 - 70 * q^68 - 26 * q^69 - 15 * q^72 - 55 * q^74 + 44 * q^77 + 24 * q^78 - 39 * q^80 + 30 * q^81 - 29 * q^82 + 30 * q^84 - 30 * q^85 - 75 * q^88 - 24 * q^89 + 30 * q^90 + 14 * q^92 + 66 * q^93 - 5 * q^94 - 30 * q^97

Introduction

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