LMFDB - Embedded newform 525.2.bo.a.319.26

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(4,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([0, 3, 20]))

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

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

chi := DirichletCharacter("525.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.bo (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:	$4.19214610612$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$40$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			319.26
Character	$\chi$	$=$	525.319
Dual form			525.2.bo.a.79.26

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.709659 + 0.638980i) q^{2} +(0.994522 - 0.104528i) q^{3} +(-0.113736 - 1.08213i) q^{4} +(-2.08550 - 0.806664i) q^{5} +(0.772563 + 0.561300i) q^{6} +(1.96509 + 1.77155i) q^{7} +(1.73334 - 2.38574i) q^{8} +(0.978148 - 0.207912i) q^{9} +O(q^{10})$	\(q+(0.709659 + 0.638980i) q^{2} +(0.994522 - 0.104528i) q^{3} +(-0.113736 - 1.08213i) q^{4} +(-2.08550 - 0.806664i) q^{5} +(0.772563 + 0.561300i) q^{6} +(1.96509 + 1.77155i) q^{7} +(1.73334 - 2.38574i) q^{8} +(0.978148 - 0.207912i) q^{9} +(-0.964548 - 1.90505i) q^{10} +(3.06975 + 0.652495i) q^{11} +(-0.226226 - 1.06431i) q^{12} +(0.226054 + 0.0734493i) q^{13} +(0.262560 + 2.51285i) q^{14} +(-2.15839 - 0.584252i) q^{15} +(0.625900 - 0.133039i) q^{16} +(-1.95230 - 4.38494i) q^{17} +(0.827002 + 0.477470i) q^{18} +(0.662369 - 6.30202i) q^{19} +(-0.635718 + 2.34852i) q^{20} +(2.13951 + 1.55644i) q^{21} +(1.76154 + 2.42455i) q^{22} +(1.86682 + 1.68089i) q^{23} +(1.47447 - 2.55386i) q^{24} +(3.69858 + 3.36459i) q^{25} +(0.113488 + 0.196568i) q^{26} +(0.951057 - 0.309017i) q^{27} +(1.69355 - 2.32798i) q^{28} +(-1.53063 + 1.11207i) q^{29} +(-1.15840 - 1.79379i) q^{30} +(7.88173 - 3.50917i) q^{31} +(-4.57853 - 2.64342i) q^{32} +(3.12114 + 0.328045i) q^{33} +(1.41642 - 4.35929i) q^{34} +(-2.66915 - 5.27974i) q^{35} +(-0.336238 - 1.03483i) q^{36} +(1.01536 + 4.77687i) q^{37} +(4.49692 - 4.04904i) q^{38} +(0.232493 + 0.0494179i) q^{39} +(-5.53937 + 3.57723i) q^{40} +(-1.02385 + 3.15108i) q^{41} +(0.523787 + 2.47164i) q^{42} +5.45851i q^{43} +(0.356942 - 3.39607i) q^{44} +(-2.20764 - 0.355438i) q^{45} +(0.250749 + 2.38572i) q^{46} +(-3.96995 + 8.91665i) q^{47} +(0.608565 - 0.197735i) q^{48} +(0.723195 + 6.96254i) q^{49} +(0.474828 + 4.75103i) q^{50} +(-2.39996 - 4.15684i) q^{51} +(0.0537711 - 0.252973i) q^{52} +(-11.3754 + 1.19560i) q^{53} +(0.872381 + 0.388409i) q^{54} +(-5.87560 - 3.83703i) q^{55} +(7.63266 - 1.61750i) q^{56} -6.33673i q^{57} +(-1.79682 - 0.188853i) q^{58} +(-9.42801 - 10.4709i) q^{59} +(-0.386748 + 2.40211i) q^{60} +(-8.37220 + 9.29827i) q^{61} +(7.83563 + 2.54595i) q^{62} +(2.29048 + 1.32427i) q^{63} +(-1.95557 - 6.01864i) q^{64} +(-0.412185 - 0.335528i) q^{65} +(2.00533 + 2.22714i) q^{66} +(1.76999 + 3.97546i) q^{67} +(-4.52302 + 2.61137i) q^{68} +(2.03229 + 1.47655i) q^{69} +(1.47946 - 5.45234i) q^{70} +(-3.36644 + 2.44586i) q^{71} +(1.19944 - 2.69399i) q^{72} +(-0.997255 + 4.69171i) q^{73} +(-2.33177 + 4.03874i) q^{74} +(4.03002 + 2.95955i) q^{75} -6.89493 q^{76} +(4.87641 + 6.72044i) q^{77} +(0.133414 + 0.183628i) q^{78} +(6.90054 + 3.07232i) q^{79} +(-1.41263 - 0.227439i) q^{80} +(0.913545 - 0.406737i) q^{81} +(-2.74006 + 1.58197i) q^{82} +(0.278466 - 0.383276i) q^{83} +(1.44093 - 2.49225i) q^{84} +(0.534340 + 10.7196i) q^{85} +(-3.48788 + 3.87368i) q^{86} +(-1.40600 + 1.26597i) q^{87} +(6.87761 - 6.19263i) q^{88} +(1.56618 - 1.73942i) q^{89} +(-1.33955 - 1.66288i) q^{90} +(0.314098 + 0.544801i) q^{91} +(1.60661 - 2.21131i) q^{92} +(7.47174 - 4.31381i) q^{93} +(-8.51487 + 3.79107i) q^{94} +(-6.46498 + 12.6085i) q^{95} +(-4.82976 - 2.15035i) q^{96} +(1.45752 + 2.00611i) q^{97} +(-3.93570 + 5.40314i) q^{98} +3.13833 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9}+O(q^{10}) $ 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9	$ 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9} + 4 q^{10} - 6 q^{11} + 12 q^{14} + 4 q^{15} + 40 q^{16} - 20 q^{17} + 16 q^{19} + 8 q^{20} + 40 q^{22} - 60 q^{23} - 48 q^{24} + 4 q^{25} - 30 q^{28} + 24 q^{29} - 48 q^{30} - 30 q^{31} - 80 q^{36} + 30 q^{38} - 32 q^{40} + 36 q^{41} + 10 q^{42} - 16 q^{44} + 2 q^{45} + 32 q^{46} + 16 q^{49} - 140 q^{50} + 190 q^{52} - 60 q^{53} + 4 q^{54} - 8 q^{55} + 60 q^{58} + 24 q^{59} - 46 q^{60} - 20 q^{61} + 120 q^{62} + 10 q^{63} - 4 q^{64} - 30 q^{65} - 16 q^{66} - 60 q^{67} - 32 q^{69} - 76 q^{70} + 32 q^{71} - 30 q^{72} - 40 q^{73} - 12 q^{74} - 8 q^{75} - 344 q^{76} + 4 q^{79} - 52 q^{80} + 40 q^{81} - 80 q^{83} + 48 q^{84} - 76 q^{85} + 24 q^{86} - 200 q^{88} - 52 q^{90} + 26 q^{91} + 180 q^{92} + 16 q^{94} - 38 q^{95} - 58 q^{96} - 140 q^{97} + 360 q^{98} + 8 q^{99}+O(q^{100}) $ 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9 + 4 * q^10 - 6 * q^11 + 12 * q^14 + 4 * q^15 + 40 * q^16 - 20 * q^17 + 16 * q^19 + 8 * q^20 + 40 * q^22 - 60 * q^23 - 48 * q^24 + 4 * q^25 - 30 * q^28 + 24 * q^29 - 48 * q^30 - 30 * q^31 - 80 * q^36 + 30 * q^38 - 32 * q^40 + 36 * q^41 + 10 * q^42 - 16 * q^44 + 2 * q^45 + 32 * q^46 + 16 * q^49 - 140 * q^50 + 190 * q^52 - 60 * q^53 + 4 * q^54 - 8 * q^55 + 60 * q^58 + 24 * q^59 - 46 * q^60 - 20 * q^61 + 120 * q^62 + 10 * q^63 - 4 * q^64 - 30 * q^65 - 16 * q^66 - 60 * q^67 - 32 * q^69 - 76 * q^70 + 32 * q^71 - 30 * q^72 - 40 * q^73 - 12 * q^74 - 8 * q^75 - 344 * q^76 + 4 * q^79 - 52 * q^80 + 40 * q^81 - 80 * q^83 + 48 * q^84 - 76 * q^85 + 24 * q^86 - 200 * q^88 - 52 * q^90 + 26 * q^91 + 180 * q^92 + 16 * q^94 - 38 * q^95 - 58 * q^96 - 140 * q^97 + 360 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{9}{10}\right)$	$1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	0.709659	+	0.638980i	0.501805	+	0.451827i	0.880743	−	0.473595i	$-0.157044\pi$
$2$	0.709659	+	0.638980i	0.501805	+	0.451827i	−0.378938	+	0.925422i	$0.623711\pi$
$3$	0.994522	−	0.104528i	0.574187	−	0.0603495i
$3$	0.994522	−	0.104528i	0.574187	−	0.0603495i
$4$	−0.113736	−	1.08213i	−0.0568682	−	0.541064i
$5$	−2.08550	−	0.806664i	−0.932662	−	0.360751i
$5$	−2.08550	−	0.806664i	−0.932662	−	0.360751i
$6$	0.772563	+	0.561300i	0.315397	+	0.229150i
$7$	1.96509	+	1.77155i	0.742736	+	0.669584i
$7$	1.96509	+	1.77155i	0.742736	+	0.669584i
$8$	1.73334	−	2.38574i	0.612830	−	0.843488i
$9$	0.978148	−	0.207912i	0.326049	−	0.0693039i
$10$	−0.964548	−	1.90505i	−0.305017	−	0.602428i
$11$	3.06975	+	0.652495i	0.925564	+	0.196735i	0.645952	−	0.763378i	$-0.276461\pi$
$11$	3.06975	+	0.652495i	0.925564	+	0.196735i	0.279612	+	0.960113i	$0.409794\pi$
$12$	−0.226226	−	1.06431i	−0.0653060	−	0.307240i
$13$	0.226054	+	0.0734493i	0.0626961	+	0.0203712i	0.340197	−	0.940354i	$-0.389506\pi$
$13$	0.226054	+	0.0734493i	0.0626961	+	0.0203712i	−0.277501	+	0.960725i	$0.589506\pi$
$14$	0.262560	+	2.51285i	0.0701721	+	0.671589i
$15$	−2.15839	−	0.584252i	−0.557294	−	0.150853i
$16$	0.625900	−	0.133039i	0.156475	−	0.0332598i
$17$	−1.95230	−	4.38494i	−0.473502	−	1.06350i	−0.979587	−	0.201020i	$-0.935574\pi$
$17$	−1.95230	−	4.38494i	−0.473502	−	1.06350i	0.506085	−	0.862484i	$-0.331092\pi$
$18$	0.827002	+	0.477470i	0.194926	+	0.112541i
$19$	0.662369	−	6.30202i	0.151958	−	1.44578i	−0.607031	−	0.794678i	$-0.707640\pi$
$19$	0.662369	−	6.30202i	0.151958	−	1.44578i	0.758989	−	0.651104i	$-0.225694\pi$
$20$	−0.635718	+	2.34852i	−0.142151	+	0.525145i
$21$	2.13951	+	1.55644i	0.466879	+	0.339643i
$22$	1.76154	+	2.42455i	0.375562	+	0.516917i
$23$	1.86682	+	1.68089i	0.389258	+	0.350490i	0.840404	−	0.541961i	$-0.182318\pi$
$23$	1.86682	+	1.68089i	0.389258	+	0.350490i	−0.451146	+	0.892450i	$0.648985\pi$
$24$	1.47447	−	2.55386i	0.300975	−	0.521304i
$25$	3.69858	+	3.36459i	0.739717	+	0.672918i
$26$	0.113488	+	0.196568i	0.0222569	+	0.0385501i
$27$	0.951057	−	0.309017i	0.183031	−	0.0594703i
$28$	1.69355	−	2.32798i	0.320050	−	0.439946i
$29$	−1.53063	+	1.11207i	−0.284231	+	0.206506i	−0.720761	−	0.693184i	$-0.756207\pi$
$29$	−1.53063	+	1.11207i	−0.284231	+	0.206506i	0.436530	+	0.899690i	$0.356207\pi$
$30$	−1.15840	−	1.79379i	−0.211493	−	0.327499i
$31$	7.88173	−	3.50917i	1.41560	−	0.630266i	0.450650	−	0.892701i	$-0.351192\pi$
$31$	7.88173	−	3.50917i	1.41560	−	0.630266i	0.964950	+	0.262435i	$0.0845255\pi$
$32$	−4.57853	−	2.64342i	−0.809377	−	0.467294i
$33$	3.12114	+	0.328045i	0.543320	+	0.0571052i
$34$	1.41642	−	4.35929i	0.242914	−	0.747612i
$35$	−2.66915	−	5.27974i	−0.451168	−	0.892439i
$36$	−0.336238	−	1.03483i	−0.0560397	−	0.172472i
$37$	1.01536	+	4.77687i	0.166923	+	0.785313i	0.979338	+	0.202232i	$0.0648195\pi$
$37$	1.01536	+	4.77687i	0.166923	+	0.785313i	−0.812414	+	0.583081i	$0.801847\pi$
$38$	4.49692	−	4.04904i	0.729496	−	0.656841i
$39$	0.232493	+	0.0494179i	0.0372287	+	0.00791320i
$40$	−5.53937	+	3.57723i	−0.875852	+	0.565610i
$41$	−1.02385	+	3.15108i	−0.159898	+	0.492116i	−0.998624	−	0.0524375i	$-0.983301\pi$
$41$	−1.02385	+	3.15108i	−0.159898	+	0.492116i	0.838726	+	0.544554i	$0.183301\pi$
$42$	0.523787	+	2.47164i	0.0808220	+	0.381383i
$43$			5.45851i			0.832416i	0.909270	+	0.416208i	$0.136641\pi$
$43$			5.45851i			0.832416i	−0.909270	+	0.416208i	$0.863359\pi$
$44$	0.356942	−	3.39607i	0.0538110	−	0.511977i
$45$	−2.20764	−	0.355438i	−0.329095	−	0.0529856i
$46$	0.250749	+	2.38572i	0.0369709	+	0.351755i
$47$	−3.96995	+	8.91665i	−0.579077	+	1.30063i	0.352067	+	0.935975i	$0.385479\pi$
$47$	−3.96995	+	8.91665i	−0.579077	+	1.30063i	−0.931144	+	0.364653i	$0.881188\pi$
$48$	0.608565	−	0.197735i	0.0878388	−	0.0285405i
$49$	0.723195	+	6.96254i	0.103314	+	0.994649i
$50$	0.474828	+	4.75103i	0.0671509	+	0.671897i
$51$	−2.39996	−	4.15684i	−0.336061	−	0.582075i
$52$	0.0537711	−	0.252973i	0.00745671	−	0.0350811i
$53$	−11.3754	+	1.19560i	−1.56253	+	0.164229i	−0.845945	−	0.533271i	$-0.820963\pi$
$53$	−11.3754	+	1.19560i	−1.56253	+	0.164229i	−0.716585	+	0.697499i	$0.754296\pi$
$54$	0.872381	+	0.388409i	0.118716	+	0.0528558i
$55$	−5.87560	−	3.83703i	−0.792266	−	0.517385i
$56$	7.63266	−	1.61750i	1.01996	−	0.216147i
$57$		−	6.33673i		−	0.839320i
$58$	−1.79682	−	0.188853i	−0.235934	−	0.0247976i
$59$	−9.42801	−	10.4709i	−1.22742	−	1.36319i	−0.909840	−	0.414960i	$-0.863795\pi$
$59$	−9.42801	−	10.4709i	−1.22742	−	1.36319i	−0.317583	−	0.948230i	$-0.602871\pi$
$60$	−0.386748	+	2.40211i	−0.0499290	+	0.310111i
$61$	−8.37220	+	9.29827i	−1.07195	+	1.19052i	−0.0910829	+	0.995843i	$0.529033\pi$
$61$	−8.37220	+	9.29827i	−1.07195	+	1.19052i	−0.980867	+	0.194678i	$0.937634\pi$
$62$	7.83563	+	2.54595i	0.995125	+	0.323336i
$63$	2.29048	+	1.32427i	0.288573	+	0.166843i
$64$	−1.95557	−	6.01864i	−0.244447	−	0.752330i
$65$	−0.412185	−	0.335528i	−0.0511253	−	0.0416171i
$66$	2.00533	+	2.22714i	0.246839	+	0.274142i
$67$	1.76999	+	3.97546i	0.216239	+	0.485680i	0.988798	−	0.149263i	$-0.0476901\pi$
$67$	1.76999	+	3.97546i	0.216239	+	0.485680i	−0.772559	+	0.634943i	$0.781023\pi$
$68$	−4.52302	+	2.61137i	−0.548496	+	0.316675i
$69$	2.03229	+	1.47655i	0.244659	+	0.177755i
$70$	1.47946	−	5.45234i	0.176830	−	0.651680i
$71$	−3.36644	+	2.44586i	−0.399523	+	0.290271i	−0.769347	−	0.638831i	$-0.779418\pi$
$71$	−3.36644	+	2.44586i	−0.399523	+	0.290271i	0.369823	+	0.929102i	$0.379418\pi$
$72$	1.19944	−	2.69399i	0.141356	−	0.317490i
$73$	−0.997255	+	4.69171i	−0.116720	+	0.549124i	0.880463	+	0.474115i	$0.157232\pi$
$73$	−0.997255	+	4.69171i	−0.116720	+	0.549124i	−0.997183	+	0.0750088i	$0.976101\pi$
$74$	−2.33177	+	4.03874i	−0.271062	+	0.469494i
$75$	4.03002	+	2.95955i	0.465347	+	0.341740i
$76$	−6.89493			−0.790903
$77$	4.87641	+	6.72044i	0.555719	+	0.765865i
$78$	0.133414	+	0.183628i	0.0151061	+	0.0207918i
$79$	6.90054	+	3.07232i	0.776372	+	0.345663i	0.756376	−	0.654137i	$-0.226968\pi$
$79$	6.90054	+	3.07232i	0.776372	+	0.345663i	0.0199956	+	0.999800i	$0.493635\pi$
$80$	−1.41263	−	0.227439i	−0.157937	−	0.0254284i
$81$	0.913545	−	0.406737i	0.101505	−	0.0451930i
$82$	−2.74006	+	1.58197i	−0.302589	+	0.174700i
$83$	0.278466	−	0.383276i	0.0305656	−	0.0420700i	−0.793461	−	0.608622i	$-0.791723\pi$
$83$	0.278466	−	0.383276i	0.0305656	−	0.0420700i	0.824026	+	0.566552i	$0.191723\pi$
$84$	1.44093	−	2.49225i	0.157218	−	0.271926i
$85$	0.534340	+	10.7196i	0.0579573	+	1.16271i
$86$	−3.48788	+	3.87368i	−0.376108	+	0.417710i
$87$	−1.40600	+	1.26597i	−0.150740	+	0.135726i
$88$	6.87761	−	6.19263i	0.733156	−	0.660137i
$89$	1.56618	−	1.73942i	0.166015	−	0.184379i	−0.654397	−	0.756151i	$-0.727077\pi$
$89$	1.56618	−	1.73942i	0.166015	−	0.184379i	0.820412	+	0.571773i	$0.193744\pi$
$90$	−1.33955	−	1.66288i	−0.141201	−	0.175282i
$91$	0.314098	+	0.544801i	0.0329264	+	0.0571107i
$92$	1.60661	−	2.21131i	0.167501	−	0.230545i
$93$	7.47174	−	4.31381i	0.774784	−	0.447321i
$94$	−8.51487	+	3.79107i	−0.878242	+	0.391019i
$95$	−6.46498	+	12.6085i	−0.663293	+	1.29361i
$96$	−4.82976	−	2.15035i	−0.492935	−	0.219469i
$97$	1.45752	+	2.00611i	0.147989	+	0.203689i	0.876575	−	0.481264i	$-0.159822\pi$
$97$	1.45752	+	2.00611i	0.147989	+	0.203689i	−0.728586	+	0.684954i	$0.759822\pi$
$98$	−3.93570	+	5.40314i	−0.397566	+	0.545799i
$99$	3.13833			0.315414
$100$	3.22026	−	4.38502i	0.322026	−	0.438502i
$101$	−0.347964	+	0.602692i	−0.0346238	+	0.0599701i	−0.882818	−	0.469715i	$-0.844357\pi$
$101$	−0.347964	+	0.602692i	−0.0346238	+	0.0599701i	0.848194	+	0.529685i	$0.177690\pi$
$102$	0.952990	−	4.48346i	0.0943600	−	0.443929i
$103$	5.70739	−	12.8190i	0.562366	−	1.26310i	−0.378902	−	0.925437i	$-0.623698\pi$
$103$	5.70739	−	12.8190i	0.562366	−	1.26310i	0.941269	−	0.337659i	$-0.109635\pi$
$104$	0.567060	−	0.411993i	0.0556048	−	0.0403993i
$105$	−3.20641	−	4.97181i	−0.312913	−	0.485199i
$106$	−8.83661	−	6.42017i	−0.858287	−	0.623582i
$107$	6.03770	−	3.48587i	0.583686	−	0.336991i	−0.178911	−	0.983865i	$-0.557257\pi$
$107$	6.03770	−	3.48587i	0.583686	−	0.336991i	0.762597	+	0.646874i	$0.223924\pi$
$108$	−0.442566	−	0.994019i	−0.0425859	−	0.0956495i
$109$	−1.28976	−	1.43242i	−0.123537	−	0.137201i	0.678203	−	0.734874i	$-0.262759\pi$
$109$	−1.28976	−	1.43242i	−0.123537	−	0.137201i	−0.801740	+	0.597673i	$0.796092\pi$
$110$	−1.71789	−	6.47737i	−0.163794	−	0.617593i
$111$	1.50911	+	4.64457i	0.143239	+	0.440843i
$112$	1.46564	+	0.847381i	0.138490	+	0.0800699i
$113$	3.07868	+	1.00032i	0.289618	+	0.0941025i	0.450223	−	0.892916i	$-0.351345\pi$
$113$	3.07868	+	1.00032i	0.289618	+	0.0941025i	−0.160605	+	0.987019i	$0.551345\pi$
$114$	4.04904	−	4.49692i	0.379228	−	0.421175i
$115$	−2.53732	−	5.01138i	−0.236607	−	0.467314i
$116$	1.37749	+	1.52986i	0.127897	+	0.142044i
$117$	0.236385	+	0.0248451i	0.0218538	+	0.00229693i
$118$		−	13.4551i		−	1.23864i
$119$	3.93170	−	12.0754i	0.360418	−	1.10695i
$120$	−5.13511	+	4.13666i	−0.468769	+	0.377623i
$121$	−1.05140	−	0.468114i	−0.0955819	−	0.0425558i
$122$	−11.8828	+	1.24893i	−1.07582	+	0.113073i
$123$	−0.688862	+	3.24084i	−0.0621126	+	0.292217i
$124$	−4.69381	−	8.12992i	−0.421517	−	0.730089i
$125$	−4.99929	−	10.0004i	−0.447150	−	0.894459i
$126$	0.779274	+	2.40335i	0.0694233	+	0.214108i
$127$	8.55176	−	2.77863i	0.758846	−	0.246564i	0.0960625	−	0.995375i	$-0.469375\pi$
$127$	8.55176	−	2.77863i	0.758846	−	0.246564i	0.662783	+	0.748811i	$0.269375\pi$
$128$	−1.84270	+	4.13877i	−0.162873	+	0.365819i
$129$	0.570570	+	5.42861i	0.0502359	+	0.477963i
$130$	−0.0781155	−	0.501488i	−0.00685118	−	0.0439834i
$131$	−2.19655	+	20.8988i	−0.191913	+	1.82593i	0.298462	+	0.954421i	$0.403526\pi$
$131$	−2.19655	+	20.8988i	−0.191913	+	1.82593i	−0.490376	+	0.871511i	$0.663140\pi$
$132$		−	3.41478i		−	0.297218i
$133$	12.4660	−	11.2106i	1.08094	−	0.972086i
$134$	−1.28415	+	3.95221i	−0.110934	+	0.341419i
$135$	−2.23270	−	0.122730i	−0.192160	−	0.0105629i
$136$	−13.8453	−	2.94292i	−1.18723	−	0.252353i
$137$	−3.03679	+	2.73434i	−0.259451	+	0.233611i	−0.788582	−	0.614929i	$-0.789185\pi$
$137$	−3.03679	+	2.73434i	−0.259451	+	0.233611i	0.529131	+	0.848540i	$0.322518\pi$
$138$	0.498750	+	2.34644i	0.0424565	+	0.199742i
$139$	−1.49337	−	4.59613i	−0.126666	−	0.389839i	0.867535	−	0.497377i	$-0.165703\pi$
$139$	−1.49337	−	4.59613i	−0.126666	−	0.389839i	−0.994201	+	0.107538i	$0.965703\pi$
$140$	−5.40978	+	3.48886i	−0.457210	+	0.294862i
$141$	−3.01616	+	9.28278i	−0.254006	+	0.781751i
$142$	−3.95188	−	0.415360i	−0.331635	−	0.0348562i
$143$	0.646003	+	0.372970i	0.0540215	+	0.0311893i
$144$	0.584562	−	0.260264i	0.0487135	−	0.0216886i
$145$	4.08920	−	1.08451i	0.339589	−	0.0900636i
$146$	−3.70562	+	2.69229i	−0.306679	+	0.222816i
$147$	1.44702	+	6.84881i	0.119348	+	0.564880i
$148$	5.05371	−	1.64205i	0.415412	−	0.134976i
$149$	−3.02059	−	5.23182i	−0.247457	−	0.428607i	0.715363	−	0.698753i	$-0.246261\pi$
$149$	−3.02059	−	5.23182i	−0.247457	−	0.428607i	−0.962819	+	0.270146i	$0.912928\pi$
$150$	0.968845	+	4.67537i	0.0791059	+	0.381743i
$151$	4.20936	−	7.29082i	0.342553	−	0.593319i	−0.642353	−	0.766409i	$-0.722042\pi$
$151$	4.20936	−	7.29082i	0.342553	−	0.593319i	0.984906	+	0.173090i	$0.0553751\pi$
$152$	−13.8869	−	12.5038i	−1.12637	−	1.01419i
$153$	−2.82132	−	3.88321i	−0.228090	−	0.313939i
$154$	−0.833631	+	7.88515i	−0.0671759	+	0.635403i
$155$	−19.2680	+	0.960452i	−1.54765	+	0.0771453i
$156$	0.0270336	−	0.257208i	0.00216442	−	0.0205931i
$157$	12.7925	+	7.38575i	1.02095	+	0.589447i	0.914379	−	0.404858i	$-0.132679\pi$
$157$	12.7925	+	7.38575i	1.02095	+	0.589447i	0.106572	+	0.994305i	$0.466012\pi$
$158$	2.93388	+	6.58960i	0.233407	+	0.524241i
$159$	−11.1881	+	2.37810i	−0.887274	+	0.188596i
$160$	7.41616	+	9.20617i	0.586299	+	0.727812i
$161$	0.690686	+	6.61027i	0.0544337	+	0.520962i
$162$	0.908202	+	0.295093i	0.0713551	+	0.0231847i
$163$	3.18598	+	14.9889i	0.249545	+	1.17402i	0.907200	+	0.420699i	$0.138215\pi$
$163$	3.18598	+	14.9889i	0.249545	+	1.17402i	−0.657655	+	0.753319i	$0.728452\pi$
$164$	3.52632	+	0.749543i	0.275360	+	0.0585295i
$165$	−6.24449	−	3.20184i	−0.486133	−	0.249263i
$166$	0.442521	−	0.0940608i	0.0343463	−	0.00730054i
$167$	−6.44542	+	8.87136i	−0.498761	+	0.686486i	−0.981974	−	0.189017i	$-0.939470\pi$
$167$	−6.44542	+	8.87136i	−0.498761	+	0.686486i	0.483212	+	0.875503i	$0.339470\pi$
$168$	7.42177	−	2.40647i	0.572602	−	0.185663i
$169$	−10.4715	−	7.60800i	−0.805501	−	0.585231i
$170$	−6.47042	+	7.94870i	−0.496258	+	0.609638i
$171$	−0.662369	−	6.30202i	−0.0506526	−	0.481927i
$172$	5.90682	−	0.620831i	0.450390	−	0.0473379i
$173$	1.34143	+	1.20783i	0.101987	+	0.0918293i	0.718547	−	0.695479i	$-0.244808\pi$
$173$	1.34143	+	1.20783i	0.101987	+	0.0918293i	−0.616560	+	0.787308i	$0.711474\pi$
$174$	−1.80671			−0.136967
$175$	1.30752	+	13.1640i	0.0988390	+	0.995103i
$176$	2.00816			0.151371
$177$	−10.4709	−	9.42801i	−0.787039	−	0.708653i
$178$	2.22291	−	0.233638i	0.166614	−	0.0175119i
$179$	−1.42039	−	13.5141i	−0.106165	−	1.01009i	−0.909822	−	0.414999i	$-0.863782\pi$
$179$	−1.42039	−	13.5141i	−0.106165	−	1.01009i	0.803657	−	0.595093i	$-0.202885\pi$
$180$	−0.133541	+	2.42937i	−0.00995357	+	0.181075i
$181$	−6.88698	−	5.00368i	−0.511905	−	0.371921i	0.301641	−	0.953422i	$-0.402466\pi$
$181$	−6.88698	−	5.00368i	−0.511905	−	0.371921i	−0.813546	+	0.581501i	$0.802466\pi$
$182$	−0.125215	+	0.587325i	−0.00928154	+	0.0435354i
$183$	−7.35440	+	10.1225i	−0.543653	+	0.748274i
$184$	7.24600	−	1.54019i	0.534183	−	0.113544i
$185$	1.73581	−	10.7812i	0.127620	−	0.792649i
$186$	8.05883	+	1.71296i	0.590902	+	0.125600i
$187$	−3.13192	−	14.7345i	−0.229028	−	1.07749i
$188$	10.1005	+	3.28185i	0.736654	+	0.239354i
$189$	2.41636	+	1.07760i	0.175764	+	0.0783839i
$190$	−12.6445	+	4.81676i	−0.917330	+	0.349444i
$191$	13.2605	−	2.81861i	0.959498	−	0.203948i	0.298562	−	0.954390i	$-0.403493\pi$
$191$	13.2605	−	2.81861i	0.959498	−	0.203948i	0.660936	+	0.750442i	$0.270160\pi$
$192$	−2.57398	−	5.78126i	−0.185761	−	0.417226i
$193$	−18.2159	−	10.5169i	−1.31121	−	0.757025i	−0.328910	−	0.944361i	$-0.606681\pi$
$193$	−18.2159	−	10.5169i	−1.31121	−	0.757025i	−0.982296	+	0.187336i	$0.940015\pi$
$194$	−0.247518	+	2.35498i	−0.0177708	+	0.169078i
$195$	−0.445000	−	0.290605i	−0.0318671	−	0.0208106i
$196$	7.45211	−	1.57448i	0.532294	−	0.112463i
$197$	13.2237	+	18.2009i	0.942151	+	1.29676i	0.954927	+	0.296842i	$0.0959333\pi$
$197$	13.2237	+	18.2009i	0.942151	+	1.29676i	−0.0127755	+	0.999918i	$0.504067\pi$
$198$	2.22714	+	2.00533i	0.158276	+	0.142512i
$199$	−12.7747	+	22.1265i	−0.905577	+	1.56851i	−0.0854364	+	0.996344i	$0.527228\pi$
$199$	−12.7747	+	22.1265i	−0.905577	+	1.56851i	−0.820141	+	0.572162i	$0.806105\pi$
$200$	14.4380	−	2.99188i	1.02092	−	0.211558i
$201$	2.17584	+	3.76867i	0.153472	+	0.265822i
$202$	−0.632044	+	0.205364i	−0.0444705	+	0.0144493i
$203$	−4.97793	−	0.526275i	−0.349382	−	0.0369373i
$204$	−4.22528	+	3.06984i	−0.295829	+	0.214932i
$205$	4.67710	−	5.74566i	0.326663	−	0.401295i
$206$	12.2414	−	5.45022i	0.852898	−	0.379735i
$207$	2.17550	+	1.25602i	0.151208	+	0.0872998i
$208$	0.151259	+	0.0158979i	0.0104879	+	0.00110232i
$209$	6.14534	−	18.9134i	0.425082	−	1.30827i
$210$	0.901432	−	5.57712i	0.0622047	−	0.384858i
$211$	6.22357	+	19.1542i	0.428448	+	1.31863i	0.899654	+	0.436604i	$0.143819\pi$
$211$	6.22357	+	19.1542i	0.428448	+	1.31863i	−0.471206	+	0.882023i	$0.656181\pi$
$212$	2.58759	+	12.1737i	0.177716	+	0.836090i
$213$	−3.09234	+	2.78435i	−0.211884	+	0.190781i
$214$	6.51210	+	1.38419i	0.445158	+	0.0946213i
$215$	4.40319	−	11.3837i	0.300295	−	0.776363i
$216$	0.911273	−	2.80461i	0.0620043	−	0.190829i
$217$	21.7050	+	7.06705i	1.47343	+	0.479742i
$218$		−	1.84066i		−	0.124665i
$219$	−0.501374	+	4.77025i	−0.0338797	+	0.322344i
$220$	−3.48389	+	6.79457i	−0.234884	+	0.458090i
$221$	−0.119254	−	1.13463i	−0.00802190	−	0.0763233i
$222$	−1.89683	+	4.26035i	−0.127307	+	0.285936i
$223$	6.33947	−	2.05982i	0.424522	−	0.137936i	−0.0889613	−	0.996035i	$-0.528355\pi$
$223$	6.33947	−	2.05982i	0.424522	−	0.137936i	0.513484	+	0.858099i	$0.328355\pi$
$224$	−4.31429	−	13.3057i	−0.288261	−	0.889023i
$225$	4.31730	+	2.52209i	0.287820	+	0.168139i
$226$	1.54563	+	2.67710i	0.102813	+	0.178078i
$227$	3.38831	−	15.9407i	0.224890	−	1.05802i	−0.710306	−	0.703893i	$-0.751443\pi$
$227$	3.38831	−	15.9407i	0.224890	−	1.05802i	0.935196	−	0.354131i	$-0.115223\pi$
$228$	−6.85716	+	0.720716i	−0.454126	+	0.0477306i
$229$	−0.771200	−	0.343360i	−0.0509623	−	0.0226899i	0.381097	−	0.924535i	$-0.375546\pi$
$229$	−0.771200	−	0.343360i	−0.0509623	−	0.0226899i	−0.432060	+	0.901845i	$0.642213\pi$
$230$	1.40154	−	5.17767i	0.0924146	−	0.341405i
$231$	5.55218	+	6.17390i	0.365307	+	0.406213i
$232$			5.57930i			0.366299i
$233$	13.8287	+	1.45346i	0.905950	+	0.0952192i	0.546032	−	0.837765i	$-0.316138\pi$
$233$	13.8287	+	1.45346i	0.905950	+	0.0952192i	0.359918	+	0.932984i	$0.382805\pi$
$234$	0.151877	+	0.168677i	0.00992852	+	0.0110267i
$235$	15.4721	−	15.3932i	1.00929	−	1.00414i
$236$	−10.2585	+	11.3932i	−0.667773	+	0.741637i
$237$	7.18388	+	2.33419i	0.466643	+	0.151622i
$238$	10.5061	−	6.05715i	0.681010	−	0.392627i
$239$	0.119510	+	0.367814i	0.00773045	+	0.0237919i	0.954847	−	0.297097i	$-0.0960184\pi$
$239$	0.119510	+	0.367814i	0.00773045	+	0.0237919i	−0.947117	+	0.320889i	$0.896018\pi$
$240$	−1.42866	−	0.0785328i	−0.0922199	−	0.00506927i
$241$	−18.6242	−	20.6843i	−1.19969	−	1.33239i	−0.929159	−	0.369680i	$-0.879467\pi$
$241$	−18.6242	−	20.6843i	−1.19969	−	1.33239i	−0.270531	−	0.962711i	$-0.587199\pi$
$242$	−0.447021	−	1.00403i	−0.0287356	−	0.0645412i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	11.0141	+	8.00224i	0.705108	+	0.512291i
$245$	4.10821	−	15.1037i	0.262464	−	0.964942i
$246$	−2.55969	+	1.85972i	−0.163200	+	0.118572i
$247$	0.612610	−	1.37594i	0.0389794	−	0.0875493i
$248$	5.28976	−	24.8864i	0.335900	−	1.58029i
$249$	0.236877	−	0.410284i	0.0150115	−	0.0260007i
$250$	2.84224	−	10.2913i	0.179759	−	0.650878i
$251$	−23.7206			−1.49723			−0.748615	−	0.663005i	$-0.769281\pi$
$251$	−23.7206			−1.49723			−0.748615	+	0.663005i	$0.769281\pi$
$252$	1.17253	−	2.62921i	0.0738621	−	0.165625i
$253$	4.63388	+	6.37799i	0.291330	+	0.400981i
$254$	7.84432	+	3.49252i	0.492196	+	0.219140i
$255$	1.65192	+	10.6050i	0.103447	+	0.664113i
$256$	−15.5148	+	6.90763i	−0.969674	+	0.431727i
$257$	23.0061	−	13.2826i	1.43508	−	0.828544i	0.437578	−	0.899181i	$-0.355836\pi$
$257$	23.0061	−	13.2826i	1.43508	−	0.828544i	0.997502	+	0.0706367i	$0.0225031\pi$
$258$	−3.06386	+	4.21705i	−0.190748	+	0.262542i
$259$	−6.46721	+	11.1858i	−0.401853	+	0.695049i
$260$	−0.316204	+	0.484199i	−0.0196101	+	0.0300288i
$261$	−1.26597	+	1.40600i	−0.0783617	+	0.0870295i
$262$	−14.9127	+	13.4274i	−0.921308	+	0.829550i
$263$	−9.90416	+	8.91774i	−0.610716	+	0.549891i	−0.915391	−	0.402565i	$-0.868119\pi$
$263$	−9.90416	+	8.91774i	−0.610716	+	0.549891i	0.304675	+	0.952456i	$0.401452\pi$
$264$	6.19263	−	6.87761i	0.381130	−	0.423288i
$265$	24.6878	+	6.68270i	1.51656	+	0.410515i
$266$	16.0100	+	0.00977765i	0.981634	+	0.000599506i
$267$	1.37579	−	1.89361i	0.0841967	−	0.115887i
$268$	4.10065	−	2.36751i	0.250487	−	0.144619i
$269$	9.84323	−	4.38249i	0.600152	−	0.267205i	−0.0840918	−	0.996458i	$-0.526799\pi$
$269$	9.84323	−	4.38249i	0.600152	−	0.267205i	0.684244	+	0.729253i	$0.260132\pi$
$270$	−1.50603	−	1.51374i	−0.0916542	−	0.0921236i
$271$	−23.1993	−	10.3290i	−1.40926	−	0.627441i	−0.445757	−	0.895154i	$-0.647066\pi$
$271$	−23.1993	−	10.3290i	−1.40926	−	0.627441i	−0.963499	+	0.267712i	$0.913732\pi$
$272$	−1.80531	−	2.48480i	−0.109463	−	0.150663i
$273$	0.369324	+	0.508985i	0.0223525	+	0.0308052i
$274$	−3.90228			−0.235745
$275$	9.15834	+	12.7418i	0.552269	+	0.768356i
$276$	1.36667	−	2.36714i	0.0822637	−	0.142485i
$277$	4.17956	−	19.6633i	0.251125	−	1.18145i	−0.654063	−	0.756440i	$-0.726937\pi$
$277$	4.17956	−	19.6633i	0.251125	−	1.18145i	0.905188	−	0.425011i	$-0.139730\pi$
$278$	1.87705	−	4.21592i	0.112578	−	0.252854i
$279$	6.97989	−	5.07119i	0.417875	−	0.303604i
$280$	−17.2227	−	2.78370i	−1.02925	−	0.166358i
$281$	−5.15464	−	3.74506i	−0.307500	−	0.223412i	0.423323	−	0.905979i	$-0.360863\pi$
$281$	−5.15464	−	3.74506i	−0.307500	−	0.223412i	−0.730823	+	0.682567i	$0.760863\pi$
$282$	−8.07195	+	4.66034i	−0.480678	+	0.277519i
$283$	−11.6304	−	26.1222i	−0.691353	−	1.55280i	−0.827097	−	0.562060i	$-0.810009\pi$
$283$	−11.6304	−	26.1222i	−0.691353	−	1.55280i	0.135744	−	0.990744i	$-0.456658\pi$
$284$	3.02963	+	3.36474i	0.179775	+	0.199661i
$285$	−5.11162	+	13.2152i	−0.302786	+	0.782802i
$286$	0.220121	+	0.677464i	0.0130161	+	0.0400593i
$287$	−7.59427	+	4.37837i	−0.448275	+	0.258447i
$288$	−5.02808	−	1.63372i	−0.296282	−	0.0962679i
$289$	−4.04097	+	4.48795i	−0.237704	+	0.263997i
$290$	3.59491	+	1.84328i	0.211101	+	0.108241i
$291$	1.65923	+	1.84277i	0.0972660	+	0.108025i
$292$	5.19046	+	0.545540i	0.303749	+	0.0319253i
$293$			17.4738i			1.02083i	0.859928	+	0.510416i	$0.170508\pi$
$293$			17.4738i			1.02083i	−0.859928	+	0.510416i	$0.829492\pi$
$294$	−3.34936	+	5.78493i	−0.195339	+	0.337384i
$295$	11.2156	+	29.4422i	0.652997	+	1.71419i
$296$	13.1563	+	5.85758i	0.764697	+	0.340465i
$297$	3.12114	−	0.328045i	0.181107	−	0.0190351i
$298$	1.19944	−	5.64290i	0.0694815	−	0.326885i
$299$	0.298541	+	0.517088i	0.0172651	+	0.0299040i
$300$	2.74426	−	4.69761i	0.158440	−	0.271217i
$301$	−9.67005	+	10.7265i	−0.557373	+	0.618265i
$302$	7.64590	−	2.48430i	0.439972	−	0.142956i
$303$	−0.283060	+	0.635763i	−0.0162614	+	0.0365236i
$304$	−0.423838	−	4.03255i	−0.0243088	−	0.231283i
$305$	24.9608	−	12.6379i	1.42925	−	0.723647i
$306$	0.479119	−	4.55852i	0.0273894	−	0.260593i
$307$			17.5059i			0.999114i	0.866281	+	0.499557i	$0.166504\pi$
$307$			17.5059i			0.999114i	−0.866281	+	0.499557i	$0.833496\pi$
$308$	6.71775	−	6.04127i	0.382779	−	0.344233i
$309$	4.33618	−	13.3454i	0.246676	−	0.759192i
$310$	−14.2874	−	11.6303i	−0.811472	−	0.660556i
$311$	22.2611	+	4.73174i	1.26231	+	0.268313i	0.789993	−	0.613116i	$-0.210084\pi$
$311$	22.2611	+	4.73174i	1.26231	+	0.268313i	0.472318	+	0.881428i	$0.343417\pi$
$312$	0.520889	−	0.469010i	0.0294895	−	0.0265525i
$313$	1.47095	+	6.92026i	0.0831428	+	0.391156i	0.999967	−	0.00813519i	$-0.00258954\pi$
$313$	1.47095	+	6.92026i	0.0831428	+	0.391156i	−0.916824	+	0.399291i	$0.869256\pi$
$314$	4.35896	+	13.4155i	0.245990	+	0.757080i
$315$	−3.70854	−	4.60942i	−0.208953	−	0.259711i
$316$	2.53980	−	7.81671i	0.142875	−	0.439724i
$317$	17.1816	+	1.80586i	0.965013	+	0.101427i	0.573909	−	0.818919i	$-0.305426\pi$
$317$	17.1816	+	1.80586i	0.965013	+	0.101427i	0.391104	+	0.920346i	$0.372093\pi$
$318$	−9.45929	−	5.46133i	−0.530451	−	0.306256i
$319$	−5.42428	+	2.41504i	−0.303701	+	0.135216i
$320$	−0.776681	+	14.1293i	−0.0434178	+	0.789854i
$321$	5.64025	−	4.09788i	0.314808	−	0.228721i
$322$	−3.73368	+	5.13237i	−0.208070	+	0.286016i
$323$	−28.9271	+	9.39898i	−1.60955	+	0.522973i
$324$	−0.544045	−	0.942313i	−0.0302247	−	0.0523507i
$325$	0.588952	+	1.03224i	0.0326692	+	0.0572582i
$326$	−7.31662	+	12.6728i	−0.405230	+	0.701879i
$327$	−1.43242	−	1.28976i	−0.0792132	−	0.0713239i
$328$	5.74299	+	7.90455i	0.317103	+	0.436455i
$329$	−23.5977	+	10.4891i	−1.30098	+	0.578282i
$330$	−2.38555	−	6.26232i	−0.131320	−	0.344729i
$331$	2.54955	−	24.2574i	0.140136	−	1.33331i	−0.667935	−	0.744220i	$-0.732821\pi$
$331$	2.54955	−	24.2574i	0.140136	−	1.33331i	0.808071	−	0.589085i	$-0.200512\pi$
$332$	−0.446425	−	0.257744i	−0.0245008	−	0.0141455i
$333$	1.98633	+	4.46138i	0.108850	+	0.244482i
$334$	−10.2427	+	2.17715i	−0.560454	+	0.119128i
$335$	−0.484442	−	9.71860i	−0.0264679	−	0.530984i
$336$	1.54618	+	0.689538i	0.0843513	+	0.0376174i
$337$	10.2537	+	3.33162i	0.558553	+	0.181485i	0.574670	−	0.818385i	$-0.305130\pi$
$337$	10.2537	+	3.33162i	0.558553	+	0.181485i	−0.0161171	+	0.999870i	$0.505130\pi$
$338$	−2.56985	−	12.0902i	−0.139781	−	0.657619i
$339$	3.16638	+	0.673034i	0.171974	+	0.0365542i
$340$	11.5392	−	1.79743i	0.625803	−	0.0974795i
$341$	26.4846	−	5.62948i	1.43422	−	0.304853i
$342$	3.55681	−	4.89552i	0.192330	−	0.264720i
$343$	−10.9134	+	14.9632i	−0.589267	+	0.807939i
$344$	13.0226	+	9.46148i	0.702132	+	0.510129i
$345$	−3.04726	−	4.71871i	−0.164059	−	0.254047i
$346$	0.180179	+	1.71429i	0.00968649	+	0.0921608i
$347$	−10.5014	+	1.10374i	−0.563744	+	0.0592519i	−0.382114	−	0.924115i	$-0.624804\pi$
$347$	−10.5014	+	1.10374i	−0.563744	+	0.0592519i	−0.181630	+	0.983367i	$0.558137\pi$
$348$	1.52986	+	1.37749i	0.0820090	+	0.0738413i
$349$	−1.86395			−0.0997749			−0.0498875	−	0.998755i	$-0.515886\pi$
$349$	−1.86395			−0.0997749			−0.0498875	+	0.998755i	$0.515886\pi$
$350$	−7.48363	+	10.1774i	−0.400017	+	0.544006i
$351$	0.237687			0.0126868
$352$	−12.3301	−	11.1021i	−0.657197	−	0.591743i
$353$	1.78985	−	0.188121i	0.0952640	−	0.0100127i	−0.0567765	−	0.998387i	$-0.518082\pi$
$353$	1.78985	−	0.188121i	0.0952640	−	0.0100127i	0.152041	+	0.988374i	$0.451416\pi$
$354$	−1.40644	−	13.3813i	−0.0747512	−	0.711210i
$355$	8.99370	−	2.38525i	0.477336	−	0.126596i
$356$	−2.06041	−	1.49698i	−0.109202	−	0.0793397i
$357$	2.64793	−	12.4202i	0.140143	−	0.657349i
$358$	7.62725	−	10.4980i	0.403113	−	0.554837i
$359$	23.9912	−	5.09949i	1.26621	−	0.269141i	0.474617	−	0.880193i	$-0.342587\pi$
$359$	23.9912	−	5.09949i	1.26621	−	0.269141i	0.791590	+	0.611052i	$0.209253\pi$
$360$	−4.67458	+	4.65076i	−0.246372	+	0.245117i
$361$	−20.6919	−	4.39820i	−1.08905	−	0.231484i
$362$	−1.69015	−	7.95155i	−0.0888325	−	0.417924i
$363$	−1.09457	−	0.355648i	−0.0574502	−	0.0186667i
$364$	0.553821	−	0.401858i	0.0290281	−	0.0210631i
$365$	5.86441	−	8.98010i	0.306957	−	0.470040i
$366$	−11.6872	+	2.48418i	−0.610898	+	0.129850i
$367$	12.9139	+	29.0050i	0.674098	+	1.51405i	0.848399	+	0.529357i	$0.177567\pi$
$367$	12.9139	+	29.0050i	0.674098	+	1.51405i	−0.174302	+	0.984692i	$0.555767\pi$
$368$	1.39206	+	0.803709i	0.0725664	+	0.0418962i
$369$	−0.346328	+	3.29509i	−0.0180291	+	0.171536i
$370$	8.12080	−	6.54182i	0.422180	−	0.340093i
$371$	−24.4718	−	17.8026i	−1.27051	−	0.924267i
$372$	−5.51791	−	7.59475i	−0.286090	−	0.393769i
$373$	−17.1579	−	15.4491i	−0.888404	−	0.799923i	0.0922366	−	0.995737i	$-0.470598\pi$
$373$	−17.1579	−	15.4491i	−0.888404	−	0.799923i	−0.980641	+	0.195814i	$0.937265\pi$
$374$	7.19246	−	12.4577i	0.371913	−	0.644173i
$375$	−6.01722	−	9.42301i	−0.310728	−	0.486602i
$376$	14.3916	+	24.9269i	0.742188	+	1.28551i
$377$	−0.427686	+	0.138964i	−0.0220270	+	0.00715699i
$378$	1.02622	+	2.30873i	0.0527833	+	0.118748i
$379$	−20.0336	+	14.5553i	−1.02906	+	0.747655i	−0.968120	−	0.250487i	$-0.919409\pi$
$379$	−20.0336	+	14.5553i	−1.02906	+	0.747655i	−0.0609384	+	0.998142i	$0.519409\pi$
$380$	14.3793	+	5.56189i	0.737645	+	0.285319i
$381$	8.21446	−	3.65731i	0.420840	−	0.187370i
$382$	11.2115	+	6.47296i	0.573630	+	0.331185i
$383$	25.1111	+	2.63928i	1.28312	+	0.134861i	0.721429	−	0.692488i	$-0.243485\pi$
$383$	25.1111	+	2.63928i	1.28312	+	0.134861i	0.561688	+	0.827349i	$0.310152\pi$
$384$	−1.39998	+	4.30871i	−0.0714427	+	0.219878i
$385$	−4.74860	−	17.9491i	−0.242011	−	0.914769i
$386$	−6.20694	−	19.1030i	−0.315925	−	0.972317i
$387$	1.13489	+	5.33923i	0.0576897	+	0.271408i
$388$	2.00509	−	1.80539i	0.101793	−	0.0916550i
$389$	−21.1196	−	4.48910i	−1.07080	−	0.227607i	−0.361402	−	0.932410i	$-0.617702\pi$
$389$	−21.1196	−	4.48910i	−1.07080	−	0.227607i	−0.709403	+	0.704803i	$0.751035\pi$
$390$	−0.130107	−	0.490576i	−0.00658824	−	0.0248413i
$391$	3.72601	−	11.4675i	0.188432	−	0.579935i
$392$	17.8644	+	10.3431i	0.902288	+	0.522406i
$393$			21.0139i			1.06001i
$394$	−2.24567	+	21.3661i	−0.113135	+	1.07641i
$395$	−11.9127	−	11.9737i	−0.599394	−	0.602464i
$396$	−0.356942	−	3.39607i	−0.0179370	−	0.170659i
$397$	−0.440459	+	0.989288i	−0.0221060	+	0.0496510i	−0.924261	−	0.381761i	$-0.875318\pi$
$397$	−0.440459	+	0.989288i	−0.0221060	+	0.0496510i	0.902155	+	0.431412i	$0.141984\pi$
$398$	−23.2041	+	7.53946i	−1.16312	+	0.377919i
$399$	11.2259	−	12.4523i	0.561996	−	0.623394i
$400$	2.76257	+	1.61384i	0.138128	+	0.0806920i
$401$	−0.228539	−	0.395841i	−0.0114127	−	0.0197673i	0.860263	−	0.509851i	$-0.170300\pi$
$401$	−0.228539	−	0.395841i	−0.0114127	−	0.0197673i	−0.871675	+	0.490084i	$0.836966\pi$
$402$	−0.863998	+	4.06479i	−0.0430923	+	0.202733i
$403$	2.03944	−	0.214354i	0.101592	−	0.0106777i
$404$	0.691767	+	0.307994i	0.0344167	+	0.0153233i
$405$	−2.23330	+	0.111323i	−0.110973	+	0.00553168i
$406$	−3.19635	−	3.55427i	−0.158632	−	0.176396i
$407$			15.3263i			0.759696i
$408$	−14.0771	−	1.47956i	−0.696921	−	0.0732493i
$409$	5.78928	+	6.42965i	0.286262	+	0.317926i	0.869075	−	0.494680i	$-0.164715\pi$
$409$	5.78928	+	6.42965i	0.286262	+	0.317926i	−0.582813	+	0.812606i	$0.698048\pi$
$410$	6.99051	−	1.08889i	0.345236	−	0.0537765i
$411$	−2.73434	+	3.03679i	−0.134875	+	0.149794i
$412$	−14.5210	−	4.71815i	−0.715397	−	0.232446i
$413$	0.0227668	−	37.2785i	0.00112028	−	1.83435i
$414$	0.741288	+	2.28145i	0.0364323	+	0.112127i
$415$	−0.889915	+	0.574691i	−0.0436842	+	0.0282105i
$416$	−0.840837	−	0.933844i	−0.0412254	−	0.0457855i
$417$	−1.96562	−	4.41486i	−0.0962568	−	0.216196i
$418$	16.4464	−	9.49532i	0.804419	−	0.464431i
$419$	−20.4364	−	14.8479i	−0.998383	−	0.725367i	−0.0366418	−	0.999328i	$-0.511666\pi$
$419$	−20.4364	−	14.8479i	−0.998383	−	0.725367i	−0.961741	+	0.273961i	$0.911666\pi$
$420$	−5.01546	+	4.03522i	−0.244729	+	0.196899i
$421$	19.4439	−	14.1268i	0.947635	−	0.688497i	−0.00261110	−	0.999997i	$-0.500831\pi$
$421$	19.4439	−	14.1268i	0.947635	−	0.688497i	0.950246	+	0.311499i	$0.100831\pi$
$422$	−7.82252	+	17.5697i	−0.380794	+	0.855278i
$423$	−2.02932	+	9.54720i	−0.0986690	+	0.464201i
$424$	−16.8651	+	29.2111i	−0.819040	+	1.41862i
$425$	7.53277	−	22.7867i	0.365393	−	1.10532i
$426$	−3.97365			−0.192524
$427$	−32.9245	+	3.44018i	−1.59333	+	0.166482i
$428$	−4.45886	−	6.13710i	−0.215527	−	0.296648i
$429$	0.681450	+	0.303401i	0.0329007	+	0.0146483i
$430$	10.3987	−	5.26500i	0.501471	−	0.253901i
$431$	35.4120	−	15.7664i	1.70574	−	0.759443i	0.707107	−	0.707107i	$-0.250000\pi$
$431$	35.4120	−	15.7664i	1.70574	−	0.759443i	0.998630	−	0.0523364i	$-0.0166668\pi$
$432$	0.554155	−	0.319941i	0.0266618	−	0.0153932i
$433$	−10.0601	+	13.8465i	−0.483458	+	0.665422i	−0.979165	−	0.203067i	$-0.934909\pi$
$433$	−10.0601	+	13.8465i	−0.483458	+	0.665422i	0.495707	+	0.868490i	$0.334909\pi$
$434$	10.8875	+	18.8843i	0.522615	+	0.906474i
$435$	3.95343	−	1.50601i	0.189553	−	0.0722075i
$436$	−1.40337	+	1.55861i	−0.0672095	+	0.0746437i
$437$	11.8295	−	10.6513i	0.565882	−	0.509523i
$438$	−3.40390	+	3.06489i	−0.162645	+	0.146446i
$439$	−11.1519	+	12.3854i	−0.532249	+	0.591123i	−0.947966	−	0.318372i	$-0.896864\pi$
$439$	−11.1519	+	12.3854i	−0.532249	+	0.591123i	0.415717	+	0.909494i	$0.363531\pi$
$440$	−19.3386	+	7.36678i	−0.921932	+	0.351197i
$441$	2.15499	+	6.66003i	0.102618	+	0.317144i
$442$	0.640374	−	0.881399i	0.0304595	−	0.0419239i
$443$	−30.7937	+	17.7787i	−1.46305	+	0.844693i	−0.999151	−	0.0411938i	$-0.986884\pi$
$443$	−30.7937	+	17.7787i	−1.46305	+	0.844693i	−0.463901	+	0.885887i	$0.653551\pi$
$444$	4.85438	−	2.16131i	0.230379	−	0.102571i
$445$	−4.66940	+	2.36418i	−0.221351	+	0.112073i
$446$	5.81504	+	2.58902i	0.275350	+	0.122594i
$447$	−3.55092	−	4.88742i	−0.167953	−	0.231167i
$448$	6.81945	−	15.2916i	0.322189	−	0.722460i
$449$	21.4187			1.01081			0.505405	−	0.862882i	$-0.331343\pi$
$449$	21.4187			1.01081			0.505405	+	0.862882i	$0.331343\pi$
$450$	1.45225	+	4.54849i	0.0684596	+	0.214418i
$451$	−5.19902	+	9.00497i	−0.244812	+	0.424027i
$452$	0.732321	−	3.44530i	0.0344455	−	0.162053i
$453$	3.42420	−	7.69088i	0.160883	−	0.361349i
$454$	12.5904	−	9.14743i	0.590895	−	0.429310i
$455$	−0.215578	−	1.38955i	−0.0101064	−	0.0651432i
$456$	−15.1178	−	10.9837i	−0.707956	−	0.514360i
$457$	16.6421	−	9.60830i	0.778483	−	0.449457i	−0.0574097	−	0.998351i	$-0.518284\pi$
$457$	16.6421	−	9.60830i	0.778483	−	0.449457i	0.835892	+	0.548894i	$0.184951\pi$
$458$	−0.327889	−	0.736450i	−0.0153212	−	0.0344120i
$459$	−3.21177	−	3.56703i	−0.149912	−	0.166495i
$460$	−5.13437	+	3.31569i	−0.239391	+	0.154595i
$461$	0.902784	+	2.77848i	0.0420469	+	0.129407i	0.969876	−	0.243598i	$-0.0783276\pi$
$461$	0.902784	+	2.77848i	0.0420469	+	0.129407i	−0.927830	+	0.373004i	$0.878328\pi$
$462$	−0.00484248	+	7.92909i	−0.000225292	+	0.368895i
$463$	−27.5640	−	8.95609i	−1.28101	−	0.416225i	−0.412073	−	0.911151i	$-0.635195\pi$
$463$	−27.5640	−	8.95609i	−1.28101	−	0.416225i	−0.868935	+	0.494926i	$0.835195\pi$
$464$	−0.810074	+	0.899678i	−0.0376067	+	0.0417665i
$465$	−19.0621	+	2.96925i	−0.883983	+	0.137696i
$466$	8.88495	+	9.86773i	0.411587	+	0.457114i
$467$	−3.71954	−	0.390940i	−0.172120	−	0.0180905i	0.0180764	−	0.999837i	$-0.494246\pi$
$467$	−3.71954	−	0.390940i	−0.172120	−	0.0180905i	−0.190196	+	0.981746i	$0.560912\pi$
$468$		−	0.258625i		−	0.0119549i
$469$	−3.56455	+	10.9478i	−0.164595	+	0.505522i
$470$	20.8158	−	1.03761i	0.960163	−	0.0478612i
$471$	13.4944	+	6.00811i	0.621791	+	0.276839i
$472$	−41.3228	+	4.34320i	−1.90204	+	0.199912i
$473$	−3.56165	+	16.7563i	−0.163765	+	0.770454i
$474$	3.60661	+	6.24683i	0.165657	+	0.286926i
$475$	23.6535	−	21.0799i	1.08530	−	0.967214i
$476$	−13.5143	−	2.88119i	−0.619428	−	0.132059i
$477$	−10.8782	+	3.53455i	−0.498080	+	0.161836i
$478$	−0.150214	+	0.337387i	−0.00687064	+	0.0154317i
$479$	3.32934	+	31.6765i	0.152121	+	1.44734i	0.758246	+	0.651969i	$0.226057\pi$
$479$	3.32934	+	31.6765i	0.152121	+	1.44734i	−0.606125	+	0.795370i	$0.707277\pi$
$480$	8.33784	+	8.38054i	0.380568	+	0.382517i
$481$	−0.121333	+	1.15441i	−0.00553231	+	0.0526364i
$482$		−	26.5793i		−	1.21065i
$483$	1.37786	+	6.50186i	0.0626950	+	0.295845i
$484$	−0.386977	+	1.19099i	−0.0175899	+	0.0541360i
$485$	−1.42140	−	5.35946i	−0.0645425	−	0.243361i
$486$	0.934072	+	0.198543i	0.0423704	+	0.00900610i
$487$	−4.30357	+	3.87495i	−0.195013	+	0.175591i	−0.760853	−	0.648925i	$-0.775219\pi$
$487$	−4.30357	+	3.87495i	−0.195013	+	0.175591i	0.565839	+	0.824516i	$0.308552\pi$
$488$	7.67138	+	36.0910i	0.347267	+	1.63376i
$489$	4.73529	+	14.5737i	0.214137	+	0.659046i
$490$	12.5664	−	8.09343i	0.567692	−	0.365624i
$491$	9.95303	−	30.6323i	0.449174	−	1.38242i	−0.428666	−	0.903463i	$-0.641016\pi$
$491$	9.95303	−	30.6323i	0.449174	−	1.38242i	0.877841	−	0.478953i	$-0.158984\pi$
$492$	3.58535	+	0.376836i	0.161640	+	0.0169891i
$493$	7.86461	+	4.54063i	0.354204	+	0.204500i
$494$	1.31394	−	0.585006i	0.0591172	−	0.0263207i
$495$	−6.54497	−	2.53158i	−0.294174	−	0.113786i
$496$	4.46631	−	3.24497i	0.200543	−	0.145703i
$497$	−10.9484	−	1.15748i	−0.491101	−	0.0519201i
$498$	0.430265	−	0.139802i	0.0192806	−	0.00626466i
$499$	3.56703	+	6.17828i	0.159682	+	0.276578i	0.934754	−	0.355295i	$-0.115620\pi$
$499$	3.56703	+	6.17828i	0.159682	+	0.276578i	−0.775072	+	0.631873i	$0.782286\pi$
$500$	−10.2531	+	6.54728i	−0.458531	+	0.292803i
$501$	−5.48280	+	9.49649i	−0.244953	+	0.424272i
$502$	−16.8335	−	15.1570i	−0.751317	−	0.676489i
$503$	−8.94448	−	12.3110i	−0.398815	−	0.548921i	0.561631	−	0.827388i	$-0.310174\pi$
$503$	−8.94448	−	12.3110i	−0.398815	−	0.548921i	−0.960446	+	0.278466i	$0.910174\pi$
$504$	7.12957	−	3.16907i	0.317576	−	0.141162i
$505$	1.21185	−	0.976221i	0.0539266	−	0.0434413i
$506$	−0.786932	+	7.48716i	−0.0349834	+	0.332845i
$507$	−11.2094	−	6.47175i	−0.497827	−	0.287421i
$508$	−3.97948	−	8.93807i	−0.176561	−	0.396563i
$509$	−23.6997	+	5.03753i	−1.05047	+	0.223285i	−0.700630	−	0.713524i	$-0.747098\pi$
$509$	−23.6997	+	5.03753i	−1.05047	+	0.223285i	−0.349841	+	0.936809i	$0.613764\pi$
$510$	−5.60411	+	8.58150i	−0.248154	+	0.379995i
$511$	−10.2713	+	7.45297i	−0.454377	+	0.329700i
$512$	−6.80662	−	2.21161i	−0.300813	−	0.0977401i
$513$	−1.31748	−	6.19826i	−0.0581682	−	0.273660i
$514$	24.8138	+	5.27433i	1.09449	+	0.232641i
$515$	−22.2434	+	22.1301i	−0.980161	+	0.975167i
$516$	5.80956	−	1.23486i	0.255752	−	0.0543617i
$517$	−18.0048	+	24.7815i	−0.791851	+	1.08989i
$518$	−11.7370	+	3.80566i	−0.515694	+	0.167211i
$519$	1.46033	+	1.06099i	0.0641014	+	0.0465724i
$520$	−1.51494	+	0.401783i	−0.0664346	+	0.0176194i
$521$	−1.86934	−	17.7856i	−0.0818974	−	0.779202i	−0.955981	−	0.293427i	$-0.905204\pi$
$521$	−1.86934	−	17.7856i	−0.0818974	−	0.779202i	0.874084	−	0.485775i	$-0.161462\pi$
$522$	−1.79682	+	0.188853i	−0.0786445	+	0.00826588i
$523$	13.5608	+	12.2102i	0.592972	+	0.533914i	0.910057	−	0.414483i	$-0.136037\pi$
$523$	13.5608	+	12.2102i	0.592972	+	0.533914i	−0.317085	+	0.948397i	$0.602704\pi$
$524$	22.8650			0.998861
$525$	2.67637	+	12.9552i	0.116806	+	0.565411i
$526$	−12.7268			−0.554916
$527$	−30.7750	−	27.7099i	−1.34058	−	1.20706i
$528$	1.99716	−	0.209910i	0.0869153	−	0.00913516i
$529$	−1.74454	−	16.5982i	−0.0758495	−	0.721660i
$530$	13.2498	+	20.5174i	0.575534	+	0.891220i
$531$	−11.3990	−	8.28186i	−0.494675	−	0.359402i
$532$	−13.5492	−	12.2147i	−0.587432	−	0.529576i
$533$	−0.462890	+	0.637113i	−0.0200500	+	0.0275964i
$534$	2.18631	−	0.464715i	0.0946111	−	0.0201102i
$535$	−15.4035	+	2.39936i	−0.665952	+	0.103733i
$536$	12.5524	+	2.66810i	0.542183	+	0.115244i
$537$	−2.82522	−	13.2916i	−0.121917	−	0.573576i
$538$	9.78566	+	3.17955i	0.421890	+	0.137080i
$539$	−2.32300	+	21.8451i	−0.100059	+	0.940936i
$540$	0.121129	+	2.43002i	0.00521257	+	0.104572i
$541$	33.4386	−	7.10759i	1.43764	−	0.305579i	0.577813	−	0.816169i	$-0.303906\pi$
$541$	33.4386	−	7.10759i	1.43764	−	0.305579i	0.859824	+	0.510590i	$0.170573\pi$
$542$	−9.86357	−	22.1539i	−0.423676	−	0.951593i
$543$	−7.37228	−	4.25639i	−0.316375	−	0.182659i
$544$	−2.65255	+	25.2373i	−0.113727	+	1.08204i
$545$	1.53430	+	4.02772i	0.0657224	+	0.172529i
$546$	−0.0631366	+	0.597196i	−0.00270200	+	0.0255576i
$547$	1.02896	+	1.41625i	0.0439953	+	0.0605543i	0.830448	−	0.557096i	$-0.188085\pi$
$547$	1.02896	+	1.41625i	0.0439953	+	0.0605543i	−0.786453	+	0.617651i	$0.788085\pi$
$548$	3.30430	+	2.97521i	0.141153	+	0.127095i
$549$	−6.25603	+	10.8358i	−0.267001	+	0.462459i
$550$	−1.64242	+	14.8943i	−0.0700331	+	0.635095i
$551$	5.99444	+	10.3827i	0.255372	+	0.442317i
$552$	7.04532	−	2.28916i	0.299869	−	0.0974332i
$553$	8.11744	+	18.2621i	0.345189	+	0.776582i
$554$	15.5305	−	11.2836i	0.659827	−	0.479393i
$555$	0.599362	−	10.9036i	0.0254415	−	0.462831i
$556$	−4.80376	+	2.13877i	−0.203725	+	0.0907041i
$557$	−24.9623	−	14.4120i	−1.05769	−	0.610656i	−0.132896	−	0.991130i	$-0.542428\pi$
$557$	−24.9623	−	14.4120i	−1.05769	−	0.610656i	−0.924792	+	0.380474i	$0.875761\pi$
$558$	8.19373	+	0.861196i	0.346868	+	0.0364573i
$559$	−0.400924	+	1.23392i	−0.0169573	+	0.0521892i
$560$	−2.37303	−	2.94949i	−0.100279	−	0.124639i
$561$	−4.65494	−	14.3264i	−0.196532	−	0.604862i
$562$	−1.26501	−	5.95142i	−0.0533614	−	0.251046i
$563$	−7.84260	+	7.06151i	−0.330526	+	0.297607i	−0.817638	−	0.575732i	$-0.804717\pi$
$563$	−7.84260	+	7.06151i	−0.330526	+	0.297607i	0.487112	+	0.873340i	$0.338050\pi$
$564$	10.3882	+	2.20808i	0.437423	+	0.0929770i
$565$	−5.61365	−	4.56963i	−0.236168	−	0.192246i
$566$	8.43797	−	25.9694i	0.354674	−	1.09158i
$567$	2.51576	+	0.819119i	0.105652	+	0.0343998i
$568$			12.2710i			0.514879i
$569$	0.652254	−	6.20578i	0.0273439	−	0.260160i	−0.972306	−	0.233710i	$-0.924913\pi$
$569$	0.652254	−	6.20578i	0.0273439	−	0.260160i	0.999650	−	0.0264495i	$-0.00842011\pi$
$570$	−12.0718	+	6.11208i	−0.505631	+	0.256007i
$571$	−3.46901	−	33.0055i	−0.145174	−	1.38124i	−0.788213	−	0.615403i	$-0.788993\pi$
$571$	−3.46901	−	33.0055i	−0.145174	−	1.38124i	0.643039	−	0.765833i	$-0.277673\pi$
$572$	0.330127	−	0.741478i	0.0138033	−	0.0310028i
$573$	12.8933	−	4.18927i	0.538624	−	0.175009i
$574$	−8.18703	−	1.74543i	−0.341720	−	0.0728530i
$575$	1.24908	+	12.4980i	0.0520900	+	0.521202i
$576$	−3.16419	−	5.48053i	−0.131841	−	0.228355i
$577$	−6.75374	+	31.7739i	−0.281162	+	1.32276i	0.580076	+	0.814562i	$0.303023\pi$
$577$	−6.75374	+	31.7739i	−0.281162	+	1.32276i	−0.861238	+	0.508201i	$0.830311\pi$
$578$	−5.73542	+	0.602817i	−0.238562	+	0.0250739i
$579$	−19.2154	−	8.55524i	−0.798564	−	0.355544i
$580$	−1.63867	−	4.30169i	−0.0680420	−	0.178618i
$581$	1.22621	−	0.259856i	0.0508716	−	0.0107806i
$582$			2.36795i			0.0981547i
$583$	−35.6997	−	3.75219i	−1.47853	−	0.155400i
$584$	9.46464	+	10.5115i	0.391650	+	0.434971i
$585$	−0.472938	−	0.242498i	−0.0195536	−	0.0100260i
$586$	−11.1654	+	12.4004i	−0.461239	+	0.512258i
$587$	−32.1174	−	10.4356i	−1.32563	−	0.430722i	−0.441203	−	0.897407i	$-0.645448\pi$
$587$	−32.1174	−	10.4356i	−1.32563	−	0.430722i	−0.884424	+	0.466685i	$0.845448\pi$
$588$	7.24671	−	2.34482i	0.298849	−	0.0966986i
$589$	−16.8942	−	51.9951i	−0.696115	−	2.14242i
$590$	−10.8537	+	28.0605i	−0.446840	+	1.15523i
$591$	15.0538	+	16.7189i	0.619230	+	0.687725i
$592$	1.27102	+	2.85476i	0.0522387	+	0.117330i
$593$	20.2839	−	11.7109i	0.832961	−	0.480910i	−0.0219045	−	0.999760i	$-0.506973\pi$
$593$	20.2839	−	11.7109i	0.832961	−	0.480910i	0.854865	+	0.518850i	$0.173640\pi$
$594$	2.42455	+	1.76154i	0.0994807	+	0.0722770i
$595$	−17.9403	+	22.0117i	−0.735483	+	0.902391i
$596$	−5.31795	+	3.86372i	−0.217832	+	0.158264i
$597$	−10.3919	+	23.3406i	−0.425312	+	0.955267i
$598$	−0.118547	+	0.557718i	−0.00484773	+	0.0228068i
$599$	−3.77741	+	6.54266i	−0.154341	+	0.267326i	−0.932819	−	0.360346i	$-0.882659\pi$
$599$	−3.77741	+	6.54266i	−0.154341	+	0.267326i	0.778478	+	0.627672i	$0.215992\pi$
$600$	14.0461	−	4.48467i	0.573431	−	0.183086i
$601$	25.9164			1.05715			0.528576	−	0.848886i	$-0.322726\pi$
$601$	25.9164			1.05715			0.528576	+	0.848886i	$0.322726\pi$
$602$	−13.7165	+	1.43319i	−0.559041	+	0.0584124i
$603$	2.55786	+	3.52059i	0.104164	+	0.143369i
$604$	−8.36837	−	3.72584i	−0.340504	−	0.151602i
$605$	1.81508	+	1.82438i	0.0737936	+	0.0741715i
$606$	−0.607115	+	0.270305i	−0.0246624	+	0.0109804i
$607$	19.4839	−	11.2490i	0.790828	−	0.456584i	−0.0494263	−	0.998778i	$-0.515739\pi$
$607$	19.4839	−	11.2490i	0.790828	−	0.456584i	0.840254	+	0.542193i	$0.182406\pi$
$608$	−19.6915	+	27.1031i	−0.798597	+	1.09917i
$609$	−5.00567	−	0.00305708i	−0.202840	−	0.000123879i
$610$	25.7890	+	6.98079i	1.04417	+	0.282644i
$611$	−1.55234	+	1.72405i	−0.0628012	+	0.0697477i
$612$	−3.88125	+	3.49469i	−0.156890	+	0.141264i
$613$	−27.2417	+	24.5286i	−1.10028	+	0.990700i	−0.999991	−	0.00425815i	$-0.998645\pi$
$613$	−27.2417	+	24.5286i	−1.10028	+	0.990700i	−0.100293	+	0.994958i	$0.531978\pi$
$614$	−11.1859	+	12.4232i	−0.451427	+	0.501360i
$615$	4.05089	−	6.20308i	0.163348	−	0.250132i
$616$	24.4857	+	0.0149540i	0.986558	+	0.000602514i
$617$	9.32818	−	12.8391i	0.375538	−	0.516884i	−0.578857	−	0.815429i	$-0.696501\pi$
$617$	9.32818	−	12.8391i	0.375538	−	0.516884i	0.954396	+	0.298545i	$0.0965012\pi$
$618$	11.6046	−	6.69994i	0.466807	−	0.269511i
$619$	42.5870	−	18.9610i	1.71172	−	0.762105i	0.713613	−	0.700540i	$-0.247058\pi$
$619$	42.5870	−	18.9610i	1.71172	−	0.762105i	0.998103	−	0.0615647i	$-0.0196091\pi$
$620$	3.23081	+	20.7413i	0.129752	+	0.832989i
$621$	2.29487	+	1.02174i	0.0920900	+	0.0410011i
$622$	12.7743	+	17.5823i	0.512203	+	0.704987i
$623$	6.15918	−	0.643554i	0.246763	−	0.0257834i
$624$	0.152092			0.00608855
$625$	2.35906	+	24.8884i	0.0943624	+	0.995538i
$626$	−3.37803	+	5.85093i	−0.135013	+	0.233850i
$627$	4.13468	−	19.4522i	0.165123	−	0.776845i
$628$	6.53736	−	14.6831i	0.260869	−	0.585921i
$629$	18.9640	−	13.7781i	0.756144	−	0.549371i
$630$	0.313526	−	5.64080i	0.0124912	−	0.224735i
$631$	−11.7165	−	8.51256i	−0.466428	−	0.338880i	0.329620	−	0.944114i	$-0.393079\pi$
$631$	−11.7165	−	8.51256i	−0.466428	−	0.338880i	−0.796047	+	0.605234i	$0.793079\pi$
$632$	19.2908	−	11.1375i	0.767346	−	0.443027i
$633$	8.19163	+	18.3987i	0.325588	+	0.731283i
$634$	11.0391	+	12.2602i	0.438420	+	0.486915i
$635$	−20.0761	−	1.10357i	−0.796695	−	0.0437938i
$636$	3.84591	+	11.8365i	0.152500	+	0.469347i
$637$	−0.347913	+	1.62703i	−0.0137848	+	0.0644652i
$638$	−5.39255	−	1.75215i	−0.213493	−	0.0693681i
$639$	−2.78435	+	3.09234i	−0.110147	+	0.122331i
$640$	7.18154	−	7.14494i	0.283875	−	0.282429i
$641$	2.99139	+	3.32227i	0.118153	+	0.131222i	0.799319	−	0.600907i	$-0.205194\pi$
$641$	2.99139	+	3.32227i	0.118153	+	0.131222i	−0.681166	+	0.732129i	$0.738527\pi$
$642$	6.62112	+	0.695907i	0.261315	+	0.0274653i
$643$		−	13.7558i		−	0.542475i	−0.962512	−	0.271238i	$-0.912567\pi$
$643$		−	13.7558i		−	0.542475i	0.962512	−	0.271238i	$-0.0874329\pi$
$644$	7.07461	−	1.49924i	0.278779	−	0.0590783i
$645$	3.18915	−	11.7816i	0.125573	−	0.463900i
$646$	−26.5341	−	11.8138i	−1.04397	−	0.464806i
$647$	−6.77927	+	0.712530i	−0.266520	+	0.0280124i	−0.236846	−	0.971547i	$-0.576114\pi$
$647$	−6.77927	+	0.712530i	−0.266520	+	0.0280124i	−0.0296744	+	0.999560i	$0.509447\pi$
$648$	0.613119	−	2.88450i	0.0240856	−	0.113314i
$649$	−22.1094	−	38.2946i	−0.867871	−	1.50320i
$650$	−0.241623	+	1.10886i	−0.00947725	+	0.0434933i
$651$	22.3248	+	4.75954i	0.874979	+	0.186541i
$652$	15.8575	−	5.15242i	0.621028	−	0.201784i
$653$	10.2119	−	22.9364i	0.399624	−	0.897570i	−0.595900	−	0.803059i	$-0.703205\pi$
$653$	10.2119	−	22.9364i	0.399624	−	0.897570i	0.995524	−	0.0945111i	$-0.0301288\pi$
$654$	−0.192402	−	1.83058i	−0.00752350	−	0.0715813i
$655$	21.4392	−	41.8124i	0.837698	−	1.63375i
$656$	−0.221609	+	2.10847i	−0.00865240	+	0.0823220i
$657$			4.79653i			0.187130i
$658$	−23.4486	−	7.63475i	−0.914122	−	0.297634i
$659$	1.31720	−	4.05392i	0.0513107	−	0.157918i	−0.922118	−	0.386909i	$-0.873543\pi$
$659$	1.31720	−	4.05392i	0.0513107	−	0.157918i	0.973429	+	0.228991i	$0.0735427\pi$
$660$	−2.75458	+	7.12151i	−0.107222	+	0.277204i
$661$	27.9606	+	5.94322i	1.08754	+	0.231164i	0.716595	−	0.697490i	$-0.245700\pi$
$661$	27.9606	+	5.94322i	1.08754	+	0.231164i	0.370947	+	0.928654i	$0.379033\pi$
$662$	17.3093	−	15.5853i	0.672744	−	0.605741i
$663$	−0.237202	−	1.11595i	−0.00921215	−	0.0433397i
$664$	−0.431720	−	1.32870i	−0.0167540	−	0.0515635i
$665$	−35.0410	+	13.3239i	−1.35883	+	0.516678i
$666$	−1.44111	+	4.43529i	−0.0558419	+	0.171864i
$667$	−4.72668	−	0.496794i	−0.183018	−	0.0192359i
$668$	10.3330	+	5.96578i	0.399797	+	0.230823i
$669$	6.08943	−	2.71119i	0.235431	−	0.104821i
$670$	5.86620	−	7.20644i	0.226631	−	0.278409i
$671$	−31.7676	+	23.0805i	−1.22637	+	0.891013i
$672$	−5.68148	−	12.7818i	−0.219168	−	0.493069i
$673$	−28.6863	+	9.32076i	−1.10578	+	0.359289i	−0.804323	−	0.594192i	$-0.797472\pi$
$673$	−28.6863	+	9.32076i	−1.10578	+	0.359289i	−0.301454	+	0.953481i	$0.597472\pi$
$674$	5.14777	+	8.91620i	0.198285	+	0.343439i
$675$	4.55728	+	2.05699i	0.175410	+	0.0791736i
$676$	−7.04184	+	12.1968i	−0.270840	+	0.469109i
$677$	−13.5546	−	12.2046i	−0.520946	−	0.469062i	0.366210	−	0.930532i	$-0.380655\pi$
$677$	−13.5546	−	12.2046i	−0.520946	−	0.469062i	−0.887155	+	0.461471i	$0.847322\pi$
$678$	1.81699	+	2.50087i	0.0697812	+	0.0960455i
$679$	−0.689757	+	6.52427i	−0.0264705	+	0.250379i
$680$	26.5004	+	17.3060i	1.01625	+	0.663654i
$681$	1.70349	−	16.2076i	0.0652778	−	0.621077i
$682$	22.3922	+	12.9281i	0.857441	+	0.495044i
$683$	10.9913	+	24.6868i	0.420569	+	0.944613i	0.992264	+	0.124147i	$0.0396193\pi$
$683$	10.9913	+	24.6868i	0.420569	+	0.944613i	−0.571695	+	0.820466i	$0.693714\pi$
$684$	−6.74426	+	1.43354i	−0.257873	+	0.0548126i
$685$	8.53892	−	3.25278i	0.326255	−	0.124283i
$686$	−17.3060	+	3.64537i	−0.660745	+	0.139181i
$687$	−0.802866	−	0.260867i	−0.0306313	−	0.00995270i
$688$	0.726196	+	3.41648i	0.0276860	+	0.130252i
$689$	−2.65927	−	0.565245i	−0.101310	−	0.0215341i
$690$	0.852645	−	5.29581i	0.0324596	−	0.201608i
$691$	−28.1264	+	5.97846i	−1.06998	+	0.227431i	−0.709048	−	0.705160i	$-0.750875\pi$
$691$	−28.1264	+	5.97846i	−1.06998	+	0.227431i	−0.360933	+	0.932592i	$0.617542\pi$
$692$	1.15445	−	1.58897i	0.0438858	−	0.0604036i
$693$	6.16711	+	5.55972i	0.234269	+	0.211196i
$694$	−8.15767	−	5.92690i	−0.309661	−	0.224982i
$695$	−0.593112	+	10.7899i	−0.0224980	+	0.409283i
$696$	0.583195	+	5.54873i	0.0221060	+	0.210324i
$697$	15.8161	−	1.66234i	0.599079	−	0.0629658i
$698$	−1.32277	−	1.19103i	−0.0500675	−	0.0450810i
$699$	13.9049			0.525932
$700$	14.0964	−	2.91212i	0.532794	−	0.110068i
$701$	18.1515			0.685573			0.342786	−	0.939413i	$-0.388629\pi$
$701$	18.1515			0.685573			0.342786	+	0.939413i	$0.388629\pi$
$702$	0.168677	+	0.151877i	0.00636629	+	0.00573224i
$703$	30.7765	−	3.23474i	1.16076	−	0.122000i
$704$	−2.07599	−	19.7517i	−0.0782417	−	0.744420i
$705$	13.7783	−	16.9262i	0.518920	−	0.637477i
$706$	1.39039	+	1.01018i	0.0523279	+	0.0380185i
$707$	−1.75148	+	0.567909i	−0.0658714	+	0.0213584i
$708$	−9.01140	+	12.4031i	−0.338669	+	0.466138i
$709$	−10.5792	+	2.24868i	−0.397310	+	0.0844509i	−0.402234	−	0.915537i	$-0.631766\pi$
$709$	−10.5792	+	2.24868i	−0.397310	+	0.0844509i	0.00492353	+	0.999988i	$0.498433\pi$
$710$	7.90658	+	4.05408i	0.296729	+	0.152147i
$711$	7.38852	+	1.57048i	0.277091	+	0.0588975i
$712$	−1.43508	−	6.75153i	−0.0537820	−	0.253024i
$713$	20.6123	+	6.69733i	0.771935	+	0.250817i
$714$	9.81541	−	7.12216i	0.367333	−	0.266540i
$715$	−1.04637	−	1.29893i	−0.0391322	−	0.0485774i
$716$	−14.4625	+	3.07409i	−0.540488	+	0.114884i
$717$	0.157302	+	0.353307i	0.00587456	+	0.0131945i
$718$	20.2840	+	11.7110i	0.756993	+	0.437050i
$719$	−2.74401	+	26.1075i	−0.102334	+	0.973645i	0.816057	+	0.577971i	$0.196155\pi$
$719$	−2.74401	+	26.1075i	−0.102334	+	0.973645i	−0.918391	+	0.395673i	$0.870511\pi$
$720$	−1.42905	+	0.0712336i	−0.0532574	+	0.00265472i
$721$	33.9251	−	15.0796i	1.26344	−	0.561595i
$722$	−11.8738	−	16.3429i	−0.441898	−	0.608220i
$723$	−20.6843	−	18.6242i	−0.769256	−	0.692642i
$724$	−4.63133	+	8.02170i	−0.172122	+	0.298124i
$725$	−9.40284	−	1.03687i	−0.349213	−	0.0385083i
$726$	−0.549521	−	0.951799i	−0.0203946	−	0.0353246i
$727$	−6.92877	+	2.25129i	−0.256974	+	0.0834958i	−0.434671	−	0.900589i	$-0.643135\pi$
$727$	−6.92877	+	2.25129i	−0.256974	+	0.0834958i	0.177697	+	0.984085i	$0.443135\pi$
$728$	1.84420	+	0.194972i	0.0683504	+	0.00722613i
$729$	0.809017	−	0.587785i	0.0299636	−	0.0217698i
$730$	9.89983	−	2.62557i	0.366409	−	0.0971767i
$731$	23.9352	−	10.6567i	0.885277	−	0.394151i
$732$	11.7903	+	6.80712i	0.435781	+	0.251598i
$733$	9.14858	+	0.961555i	0.337911	+	0.0355158i	0.271964	−	0.962307i	$-0.412327\pi$
$733$	9.14858	+	0.961555i	0.337911	+	0.0355158i	0.0659463	+	0.997823i	$0.478993\pi$
$734$	−9.36917	+	28.8353i	−0.345822	+	1.06433i
$735$	2.50694	−	15.4504i	0.0924699	−	0.569897i
$736$	−4.10399	−	12.6308i	−0.151275	−	0.465577i
$737$	2.83945	+	13.3586i	0.104593	+	0.492069i
$738$	−2.35127	+	2.11709i	−0.0865515	+	0.0779313i
$739$	−19.4218	−	4.12822i	−0.714441	−	0.151859i	−0.163670	−	0.986515i	$-0.552333\pi$
$739$	−19.4218	−	4.12822i	−0.714441	−	0.151859i	−0.550772	+	0.834656i	$0.685666\pi$
$740$	−11.8641	−	0.652160i	−0.436132	−	0.0239739i
$741$	0.465429	−	1.43244i	0.0170980	−	0.0526221i
$742$	−5.99110	−	28.2708i	−0.219940	−	1.03785i
$743$			32.4338i			1.18988i	0.803770	+	0.594940i	$0.202824\pi$
$743$			32.4338i			1.18988i	−0.803770	+	0.594940i	$0.797176\pi$
$744$	2.65945	−	25.3030i	0.0975002	−	0.927652i
$745$	2.07911	+	13.3475i	0.0761727	+	0.489016i
$746$	−2.30464	−	21.9271i	−0.0843787	−	0.802810i
$747$	0.192693	−	0.432797i	0.00705029	−	0.0158352i
$748$	−15.5884	+	5.06499i	−0.569969	+	0.185194i
$749$	18.0400	+	3.84605i	0.659169	+	0.140531i
$750$	1.75093	−	10.5320i	0.0639351	−	0.384574i
$751$	−17.8191	−	30.8635i	−0.650226	−	1.12623i	−0.983068	−	0.183242i	$-0.941341\pi$
$751$	−17.8191	−	30.8635i	−0.650226	−	1.12623i	0.332841	−	0.942983i	$-0.391993\pi$
$752$	−1.29853	+	6.10909i	−0.0473524	+	0.222776i
$753$	−23.5907	+	2.47948i	−0.859691	+	0.0903572i
$754$	−0.392306	−	0.174666i	−0.0142870	−	0.00636096i
$755$	−14.6599	+	11.8094i	−0.533527	+	0.429790i
$756$	0.891274	−	2.73737i	0.0324153	−	0.0995572i
$757$		−	27.7237i		−	1.00764i	−0.863810	−	0.503818i	$-0.831928\pi$
$757$		−	27.7237i		−	1.00764i	0.863810	−	0.503818i	$-0.168072\pi$
$758$	−23.5176	−	2.47180i	−0.854197	−	0.0897797i
$759$	5.27518	+	5.85868i	0.191477	+	0.212657i
$760$	18.8747	+	37.2787i	0.684656	+	1.35224i
$761$	−16.0572	+	17.8333i	−0.582073	+	0.646458i	−0.960206	−	0.279294i	$-0.909900\pi$
$761$	−16.0572	+	17.8333i	−0.582073	+	0.646458i	0.378132	+	0.925752i	$0.376566\pi$
$762$	8.16641	+	2.65343i	0.295838	+	0.0961236i
$763$	0.00311452	−	5.09973i	0.000112753	−	0.184623i
$764$	−4.55830	−	14.0290i	−0.164914	−	0.507552i
$765$	2.75140	+	10.3743i	0.0994770	+	0.375083i
$766$	16.1339	+	17.9185i	0.582940	+	0.647421i
$767$	−1.36216	−	3.05946i	−0.0491847	−	0.110471i
$768$	−14.7078	+	8.49152i	−0.530720	+	0.306412i
$769$	−5.80780	−	4.21961i	−0.209434	−	0.152163i	0.478123	−	0.878293i	$-0.341317\pi$
$769$	−5.80780	−	4.21961i	−0.209434	−	0.152163i	−0.687558	+	0.726130i	$0.741317\pi$
$770$	8.09920	−	15.7720i	0.291875	−	0.568383i
$771$	21.4916	−	15.6146i	0.774003	−	0.562346i
$772$	−9.30887	+	20.9081i	−0.335034	+	0.752498i
$773$	7.02173	−	33.0346i	0.252554	−	1.18817i	−0.650791	−	0.759257i	$-0.725562\pi$
$773$	7.02173	−	33.0346i	0.252554	−	1.18817i	0.903345	−	0.428916i	$-0.141104\pi$
$774$	−2.60628	+	4.51420i	−0.0936807	+	0.162260i
$775$	40.9582	+	13.5398i	1.47126	+	0.486365i
$776$	7.31245			0.262501
$777$	−5.26256	+	11.8005i	−0.188793	+	0.423340i
$778$	−12.1192	−	16.6807i	−0.434496	−	0.598032i
$779$	19.1800	+	8.53949i	0.687195	+	0.305959i
$780$	−0.263859	+	0.514599i	−0.00944767	+	0.0184256i
$781$	−11.9300	+	5.31160i	−0.426891	+	0.190064i
$782$	9.97167	−	5.75715i	0.356586	−	0.205875i
$783$	−1.11207	+	1.53063i	−0.0397421	+	0.0547004i
$784$	1.37894	+	4.26164i	0.0492478	+	0.152201i
$785$	−20.7209	−	25.7222i	−0.739559	−	0.918064i
$786$	−13.4274	+	14.9127i	−0.478941	+	0.531918i
$787$	5.69079	−	5.12401i	0.202855	−	0.182651i	−0.561442	−	0.827516i	$-0.689753\pi$
$787$	5.69079	−	5.12401i	0.202855	−	0.182651i	0.764296	+	0.644865i	$0.223086\pi$
$788$	18.1917	−	16.3799i	0.648052	−	0.583509i
$789$	−8.91774	+	9.90416i	−0.317480	+	0.352597i
$790$	−0.802996	−	16.1092i	−0.0285693	−	0.573141i
$791$	4.27777	+	7.41978i	0.152100	+	0.263817i
$792$	5.43980	−	7.48724i	0.193295	−	0.266048i
$793$	−2.57552	+	1.48698i	−0.0914594	+	0.0528041i
$794$	−0.944711	+	0.420612i	−0.0335265	+	0.0149270i
$795$	25.2511	+	4.06552i	0.895563	+	0.144189i
$796$	25.3967	+	11.3073i	0.900161	+	0.400777i
$797$	−6.34622	−	8.73482i	−0.224795	−	0.309403i	0.681691	−	0.731640i	$-0.261245\pi$
$797$	−6.34622	−	8.73482i	−0.224795	−	0.309403i	−0.906485	+	0.422237i	$0.861245\pi$
$798$	15.9233	−	1.66377i	0.563678	−	0.0588969i
$799$	46.8495			1.65742
$800$	−8.04007	−	25.1818i	−0.284259	−	0.890310i
$801$	1.17031	−	2.02704i	0.0413510	−	0.0716220i
$802$	0.0907497	−	0.426944i	0.00320448	−	0.0150759i
$803$	−6.12264	+	13.7517i	−0.216063	+	0.485286i
$804$	3.83071	−	2.78318i	0.135099	−	0.0981551i
$805$	3.89185	−	14.3428i	0.137170	−	0.505519i
$806$	1.58427	+	1.15104i	0.0558037	+	0.0405438i
$807$	9.33122	−	5.38738i	0.328474	−	0.189645i
$808$	0.834726	+	1.87483i	0.0293656	+	0.0659562i
$809$	−25.9162	−	28.7829i	−0.911166	−	1.01195i	−0.999874	−	0.0158943i	$-0.994940\pi$
$809$	−25.9162	−	28.7829i	−0.911166	−	1.01195i	0.0887080	−	0.996058i	$-0.471726\pi$
$810$	−1.65601	−	1.34803i	−0.0581863	−	0.0473649i
$811$	−14.5106	−	44.6589i	−0.509535	−	1.56819i	−0.793011	−	0.609207i	$-0.791488\pi$
$811$	−14.5106	−	44.6589i	−0.509535	−	1.56819i	0.283476	−	0.958979i	$-0.408512\pi$
$812$	−0.00332637	+	5.44662i	−0.000116733	+	0.191139i
$813$	−24.1519	−	7.84742i	−0.847043	−	0.275221i
$814$	−9.79319	+	10.8764i	−0.343251	+	0.381219i
$815$	5.44663	−	33.8292i	0.190787	−	1.18499i
$816$	−2.05515	−	2.28248i	−0.0719448	−	0.0799028i
$817$	34.3997	+	3.61555i	1.20349	+	0.126492i
$818$			8.26209i			0.288877i
$819$	0.420505	+	0.467592i	0.0146936	+	0.0163390i
$820$	−6.74950	−	4.40773i	−0.235703	−	0.153925i
$821$	−29.6178	−	13.1867i	−1.03367	−	0.460219i	−0.181447	−	0.983401i	$-0.558078\pi$
$821$	−29.6178	−	13.1867i	−1.03367	−	0.460219i	−0.852221	+	0.523182i	$0.824745\pi$
$822$	−3.88090	+	0.407899i	−0.135362	+	0.0142271i
$823$	−0.809949	+	3.81051i	−0.0282330	+	0.132826i	−0.990007	−	0.141019i	$-0.954962\pi$
$823$	−0.809949	+	3.81051i	−0.0282330	+	0.132826i	0.961774	+	0.273845i	$0.0882955\pi$
$824$	−20.6900	−	35.8361i	−0.720770	−	1.24841i
$825$	10.4400	+	11.7146i	0.363476	+	0.407852i
$826$	23.8363	−	26.4405i	0.829372	−	0.919981i
$827$	17.4007	−	5.65382i	0.605081	−	0.196603i	0.00957578	−	0.999954i	$-0.496952\pi$
$827$	17.4007	−	5.65382i	0.605081	−	0.196603i	0.595505	+	0.803351i	$0.296952\pi$
$828$	1.11175	−	2.49703i	0.0386359	−	0.0867776i
$829$	1.34163	+	12.7647i	0.0465967	+	0.443338i	0.992802	+	0.119770i	$0.0382157\pi$
$829$	1.34163	+	12.7647i	0.0465967	+	0.443338i	−0.946205	+	0.323568i	$0.895118\pi$
$830$	−0.998752	−	0.160803i	−0.0346672	−	0.00558155i
$831$	2.10129	−	19.9924i	0.0728930	−	0.693530i
$832$		−	1.50417i		−	0.0521478i
$833$	29.1184	−	16.7641i	1.00889	−	0.580843i
$834$	1.42608	−	4.38903i	0.0493812	−	0.151980i
$835$	20.5981	−	13.3019i	0.712827	−	0.460331i
$836$	−21.1657	−	4.49891i	−0.732031	−	0.155598i
$837$	6.41157	−	5.77301i	0.221616	−	0.199544i
$838$	−5.01535	−	23.5954i	−0.173252	−	0.815089i
$839$	7.14829	+	22.0002i	0.246786	+	0.759531i	0.995337	+	0.0964535i	$0.0307499\pi$
$839$	7.14829	+	22.0002i	0.246786	+	0.759531i	−0.748551	+	0.663077i	$0.769250\pi$
$840$	−17.4193	−	0.968197i	−0.601022	−	0.0334060i
$841$	−7.85536	+	24.1763i	−0.270874	+	0.833665i
$842$	22.8252	+	2.39903i	0.786609	+	0.0826760i
$843$	−5.51786	−	3.18574i	−0.190045	−	0.109723i
$844$	20.0194	−	8.91323i	0.689097	−	0.306806i
$845$	15.7012	+	24.3135i	0.540138	+	0.836408i
$846$	−7.54059	+	5.47856i	−0.259251	+	0.188357i
$847$	−1.23681	−	2.78250i	−0.0424974	−	0.0956079i
$848$	−6.96079	+	2.26170i	−0.239035	+	0.0776671i
$849$	−14.2972	−	24.7634i	−0.490677	−	0.849878i
$850$	19.9060	−	11.3575i	0.682769	−	0.389560i
$851$	−6.13391	+	10.6242i	−0.210268	+	0.364194i
$852$	3.36474	+	3.02963i	0.115274	+	0.103793i
$853$	22.1621	+	30.5035i	0.758815	+	1.04442i	0.997312	+	0.0732759i	$0.0233454\pi$
$853$	22.1621	+	30.5035i	0.758815	+	1.04442i	−0.238497	+	0.971143i	$0.576655\pi$
$854$	−25.5634	−	18.5968i	−0.874761	−	0.636368i
$855$	−3.70225	+	13.6771i	−0.126614	+	0.467748i
$856$	2.14902	−	20.4466i	0.0734521	−	0.698850i
$857$	38.8278	+	22.4173i	1.32633	+	0.765759i	0.984731	−	0.174085i	$-0.0556969\pi$
$857$	38.8278	+	22.4173i	1.32633	+	0.765759i	0.341603	+	0.939844i	$0.389030\pi$
$858$	0.289730	+	0.650744i	0.00989121	+	0.0222160i
$859$	−3.05150	+	0.648617i	−0.104116	+	0.0221305i	−0.259675	−	0.965696i	$-0.583615\pi$
$859$	−3.05150	+	0.648617i	−0.104116	+	0.0221305i	0.155559	+	0.987827i	$0.450282\pi$
$860$	−12.8194	−	3.47008i	−0.437139	−	0.118329i
$861$	−7.09500	+	5.14820i	−0.241797	+	0.175450i
$862$	35.2049	+	11.4388i	1.19908	+	0.389606i
$863$	7.61386	+	35.8204i	0.259179	+	1.21934i	0.894491	+	0.447085i	$0.147538\pi$
$863$	7.61386	+	35.8204i	0.259179	+	1.21934i	−0.635312	+	0.772255i	$0.719129\pi$
$864$	−5.17130	−	1.09919i	−0.175931	−	0.0373953i
$865$	−1.82323	−	3.60100i	−0.0619917	−	0.122438i
$866$	−15.9869	+	3.39812i	−0.543257	+	0.115473i
$867$	−3.54972	+	4.88577i	−0.120555	+	0.165929i
$868$	5.17881	−	24.2914i	0.175780	−	0.824504i
$869$	19.1782	+	13.9338i	0.650577	+	0.472672i
$870$	3.76790	+	1.45741i	0.127744	+	0.0494109i
$871$	0.108118	+	1.02867i	0.00366344	+	0.0348553i
$872$	−5.65299	+	0.594154i	−0.191435	+	0.0201206i
$873$	1.84277	+	1.65923i	0.0623682	+	0.0561565i
$874$	15.2009			0.514178
$875$	7.89209	−	28.5082i	0.266801	−	0.963752i
$876$	5.21905			0.176335
$877$	−13.6110	−	12.2554i	−0.459610	−	0.413835i	0.406529	−	0.913638i	$-0.366739\pi$
$877$	−13.6110	−	12.2554i	−0.459610	−	0.413835i	−0.866139	+	0.499803i	$0.833406\pi$
$878$	−15.8280	+	1.66359i	−0.534170	+	0.0561435i
$879$	1.82651	+	17.3781i	0.0616067	+	0.586149i
$880$	−4.18801	−	1.61991i	−0.141178	−	0.0546072i
$881$	18.5306	+	13.4632i	0.624310	+	0.453588i	0.854424	−	0.519576i	$-0.173910\pi$
$881$	18.5306	+	13.4632i	0.624310	+	0.453588i	−0.230114	+	0.973164i	$0.573910\pi$
$882$	−2.72632	+	6.10334i	−0.0918000	+	0.205510i
$883$	31.0302	−	42.7094i	1.04425	−	1.43729i	0.150560	−	0.988601i	$-0.451892\pi$
$883$	31.0302	−	42.7094i	1.04425	−	1.43729i	0.893690	−	0.448685i	$-0.148108\pi$
$884$	−1.21425	+	0.258097i	−0.0408396	+	0.00868073i
$885$	14.2317	+	28.1086i	0.478394	+	0.944859i
$886$	−33.2133	−	7.05970i	−1.11582	−	0.237175i
$887$	−10.0465	−	47.2650i	−0.337328	−	1.58700i	−0.740615	−	0.671930i	$-0.765466\pi$
$887$	−10.0465	−	47.2650i	−0.337328	−	1.58700i	0.403286	−	0.915074i	$-0.367868\pi$
$888$	13.6966	+	4.45028i	0.459626	+	0.149342i
$889$	21.7275	+	9.68961i	0.728717	+	0.324979i
$890$	−4.82434	−	1.30590i	−0.161712	−	0.0437737i
$891$	3.06975	−	0.652495i	0.102840	−	0.0218594i
$892$	−2.95002	−	6.62585i	−0.0987739	−	0.221850i
$893$	53.5633	+	30.9248i	1.79243	+	1.03486i
$894$	0.603022	−	5.73737i	0.0201681	−	0.191886i
$895$	−7.93914	+	29.3294i	−0.265376	+	0.980374i
$896$	−10.9531	+	4.86863i	−0.365918	+	0.162650i
$897$	0.350956	+	0.483049i	0.0117181	+	0.0161285i
$898$	15.2000	+	13.6861i	0.507229	+	0.456711i
$899$	−8.16159	+	14.1363i	−0.272204	+	0.471471i
$900$	2.23819	−	4.95873i	0.0746063	−	0.165291i
$901$	27.4508	+	47.5462i	0.914519	+	1.58399i
$902$	−9.44352	+	3.06839i	−0.314435	+	0.102166i
$903$	−8.49585	+	11.6785i	−0.282724	+	0.388637i
$904$	7.72293	−	5.61103i	0.256861	−	0.186620i
$905$	10.3265	+	15.9906i	0.343263	+	0.531547i
$906$	7.34433	−	3.26991i	0.243999	−	0.108635i
$907$	−20.2872	−	11.7128i	−0.673625	−	0.388917i	0.123824	−	0.992304i	$-0.460484\pi$
$907$	−20.2872	−	11.7128i	−0.673625	−	0.388917i	−0.797449	+	0.603387i	$0.793818\pi$
$908$	−17.6353	−	1.85355i	−0.585249	−	0.0615121i
$909$	−0.215054	+	0.661868i	−0.00713289	+	0.0219528i
$910$	0.734909	−	1.12386i	0.0243620	−	0.0372555i
$911$	−3.39488	−	10.4484i	−0.112478	−	0.346170i	0.878935	−	0.476942i	$-0.158255\pi$
$911$	−3.39488	−	10.4484i	−0.112478	−	0.346170i	−0.991413	+	0.130771i	$0.958255\pi$
$912$	−0.843033	−	3.96616i	−0.0279156	−	0.131333i
$913$	1.10491	−	0.994862i	0.0365671	−	0.0329251i
$914$	17.9497	+	3.81532i	0.593723	+	0.126200i
$915$	23.5030	−	15.1778i	0.776985	−	0.501763i
$916$	−0.283847	+	0.873590i	−0.00937856	+	0.0288642i
$917$	−41.3397	+	37.1767i	−1.36516	+	1.22768i
$918$		−	4.58363i		−	0.151282i
$919$	1.00738	−	9.58457i	0.0332304	−	0.316166i	−0.965262	−	0.261282i	$-0.915855\pi$
$919$	1.00738	−	9.58457i	0.0332304	−	0.316166i	0.998493	−	0.0548835i	$-0.0174787\pi$
$920$	−16.3539	−	2.63304i	−0.539173	−	0.0868089i
$921$	1.82986	+	17.4100i	0.0602961	+	0.573679i
$922$	−1.13473	+	2.54864i	−0.0373702	+	0.0839349i
$923$	−0.940645	+	0.305634i	−0.0309617	+	0.0100601i
$924$	6.04947	−	6.71037i	0.199013	−	0.220755i
$925$	−12.3168	+	21.0839i	−0.404975	+	0.693235i
$926$	−13.8383	−	23.9686i	−0.454754	−	0.787658i
$927$	2.91745	−	13.7255i	0.0958216	−	0.450805i
$928$	9.94771	−	1.04555i	0.326550	−	0.0343217i
$929$	33.0682	+	14.7229i	1.08493	+	0.483043i	0.869730	−	0.493527i	$-0.164293\pi$
$929$	33.0682	+	14.7229i	1.08493	+	0.483043i	0.215201	+	0.976570i	$0.430959\pi$
$930$	−15.4249	−	10.0731i	−0.505801	−	0.330311i
$931$	44.3571	+	0.0541798i	1.45374	+	0.00177567i
$932$		−	15.1298i		−	0.495592i
$933$	22.6338	+	2.37890i	0.740996	+	0.0778818i
$934$	−2.38980	−	2.65415i	−0.0781968	−	0.0868463i
$935$	−5.35421	+	33.2552i	−0.175101	+	1.08756i
$936$	0.469010	−	0.520889i	0.0153301	−	0.0170258i
$937$	−26.2972	−	8.54447i	−0.859091	−	0.279136i	−0.153842	−	0.988095i	$-0.549165\pi$
$937$	−26.2972	−	8.54447i	−0.859091	−	0.279136i	−0.705249	+	0.708960i	$0.749165\pi$
$938$	−9.52503	+	5.49153i	−0.311003	+	0.179305i
$939$	2.18625	+	6.72859i	0.0713456	+	0.219579i
$940$	−18.4172	−	14.9920i	−0.600702	−	0.488985i
$941$	10.4435	+	11.5987i	0.340450	+	0.378108i	0.888920	−	0.458062i	$-0.151456\pi$
$941$	10.4435	+	11.5987i	0.340450	+	0.378108i	−0.548470	+	0.836170i	$0.684790\pi$
$942$	5.73738	+	12.8864i	0.186934	+	0.419861i
$943$	−7.20796	+	4.16152i	−0.234723	+	0.135518i
$944$	−7.29403	−	5.29942i	−0.237400	−	0.172481i
$945$	−4.17004	−	4.19652i	−0.135651	−	0.136513i
$946$	−13.2345	+	9.61540i	−0.430290	+	0.312624i
$947$	−24.1090	+	54.1496i	−0.783436	+	1.75963i	−0.145764	+	0.989319i	$0.546564\pi$
$947$	−24.1090	+	54.1496i	−0.783436	+	1.75963i	−0.637673	+	0.770307i	$0.720103\pi$
$948$	1.70882	−	8.03937i	0.0554999	−	0.261107i
$949$	−0.570037	+	0.987332i	−0.0185042	+	0.0320502i
$950$	30.2556	+	0.154559i	0.981621	+	0.00501455i
$951$	17.2762			0.560219
$952$	−21.9939	−	30.3109i	−0.712825	−	0.982381i
$953$	−10.8240	−	14.8980i	−0.350624	−	0.482592i	0.596883	−	0.802328i	$-0.296406\pi$
$953$	−10.8240	−	14.8980i	−0.350624	−	0.482592i	−0.947507	+	0.319736i	$0.896406\pi$
$954$	−9.97834	−	4.44264i	−0.323061	−	0.143836i
$955$	−29.9285	−	4.81859i	−0.968462	−	0.155926i
$956$	0.384429	−	0.171159i	0.0124333	−	0.00553567i
$957$	−5.14212	+	2.96880i	−0.166221	+	0.0959678i
$958$	−17.8780	+	24.6069i	−0.577611	+	0.795013i
$959$	−10.8116	−	0.00660291i	−0.349126	−	0.000213219i
$960$	0.704493	+	14.1331i	0.0227374	+	0.456145i
$961$	29.0643	−	32.2792i	0.937558	−	1.04126i
$962$	−0.823748	+	0.741706i	−0.0265587	+	0.0239136i
$963$	5.18101	−	4.66500i	0.166956	−	0.150327i
$964$	−20.2648	+	22.5063i	−0.652685	+	0.724880i
$965$	29.5055	+	36.6271i	0.949814	+	1.17907i
$966$	−3.17675	+	5.49453i	−0.102210	+	0.176784i
$967$	13.6549	−	18.7944i	0.439113	−	0.604388i	−0.530902	−	0.847434i	$-0.678147\pi$
$967$	13.6549	−	18.7944i	0.439113	−	0.604388i	0.970015	+	0.243046i	$0.0781466\pi$
$968$	−2.93924	+	1.69697i	−0.0944707	+	0.0545427i
$969$	−27.7862	+	12.3712i	−0.892620	+	0.397420i
$970$	2.41588	−	4.71164i	0.0775691	−	0.151281i
$971$	22.8112	+	10.1562i	0.732047	+	0.325928i	0.738686	−	0.674050i	$-0.235447\pi$
$971$	22.8112	+	10.1562i	0.732047	+	0.325928i	−0.00663905	+	0.999978i	$0.502113\pi$
$972$	−0.639563	−	0.880283i	−0.0205140	−	0.0282351i
$973$	5.20767	−	11.6774i	0.166950	−	0.374361i
$974$	−5.53008			−0.177195
$975$	0.693624	+	0.965020i	0.0222138	+	0.0309054i
$976$	−4.00312	+	6.93361i	−0.128137	+	0.221940i
$977$	−0.767649	+	3.61150i	−0.0245593	+	0.115542i	−0.988720	−	0.149778i	$-0.952144\pi$
$977$	−0.767649	+	3.61150i	−0.0245593	+	0.115542i	0.964160	+	0.265320i	$0.0854776\pi$
$978$	−5.95187	+	13.3681i	−0.190320	+	0.427465i
$979$	5.94276	−	4.31767i	0.189931	−	0.137993i
$980$	−16.8114	−	2.72777i	−0.537021	−	0.0871356i
$981$	−1.55939	−	1.13297i	−0.0497876	−	0.0361728i
$982$	26.6367	−	15.3787i	0.850010	−	0.490754i
$983$	−9.44437	−	21.2124i	−0.301228	−	0.676570i	0.697990	−	0.716108i	$-0.254078\pi$
$983$	−9.44437	−	21.2124i	−0.301228	−	0.676570i	−0.999218	+	0.0395377i	$0.987411\pi$
$984$	6.53778	+	7.26094i	0.208417	+	0.231470i
$985$	−12.8960	−	48.6250i	−0.410901	−	1.54932i
$986$	2.67982	+	8.24763i	0.0853427	+	0.262658i
$987$	−22.3720	+	12.8983i	−0.712108	+	0.410556i
$988$	−1.55863	−	0.506428i	−0.0495865	−	0.0161116i
$989$	−9.17516	+	10.1900i	−0.291753	+	0.324025i
$990$	−3.02707	−	5.97866i	−0.0962065	−	0.190014i
$991$	9.37233	+	10.4090i	0.297722	+	0.330654i	0.873382	−	0.487035i	$-0.161922\pi$
$991$	9.37233	+	10.4090i	0.297722	+	0.330654i	−0.575660	+	0.817689i	$0.695255\pi$
$992$	−45.3629	−	4.76783i	−1.44027	−	0.151379i
$993$		−	24.3910i		−	0.774024i
$994$	−7.02999	−	7.81720i	−0.222978	−	0.247946i
$995$	44.4903	−	35.8398i	1.41044	−	1.13620i
$996$	−0.470921	−	0.209668i	−0.0149217	−	0.00664358i
$997$	−50.1333	+	5.26922i	−1.58774	+	0.166878i	−0.856830	−	0.515600i	$-0.827569\pi$
$997$	−50.1333	+	5.26922i	−1.58774	+	0.166878i	−0.730907	+	0.682477i	$0.760903\pi$
$998$	−1.41642	+	6.66373i	−0.0448360	+	0.210937i
$999$	2.44179	+	4.22931i	0.0772550	+	0.133810i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.bo.a.319.26	yes	320
7.2	even	3	inner	525.2.bo.a.394.26	yes	320
25.4	even	10	inner	525.2.bo.a.4.26	✓	320
175.79	even	30	inner	525.2.bo.a.79.26	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.bo.a.4.26	✓	320	25.4	even	10	inner
525.2.bo.a.79.26	yes	320	175.79	even	30	inner
525.2.bo.a.319.26	yes	320	1.1	even	1	trivial
525.2.bo.a.394.26	yes	320	7.2	even	3	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:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.709659 + 0.638980i) q^{2} +(0.994522 - 0.104528i) q^{3} +(-0.113736 - 1.08213i) q^{4} +(-2.08550 - 0.806664i) q^{5} +(0.772563 + 0.561300i) q^{6} +(1.96509 + 1.77155i) q^{7} +(1.73334 - 2.38574i) q^{8} +(0.978148 - 0.207912i) q^{9} +O(q^{10})\)	\(q+(0.709659 + 0.638980i) q^{2} +(0.994522 - 0.104528i) q^{3} +(-0.113736 - 1.08213i) q^{4} +(-2.08550 - 0.806664i) q^{5} +(0.772563 + 0.561300i) q^{6} +(1.96509 + 1.77155i) q^{7} +(1.73334 - 2.38574i) q^{8} +(0.978148 - 0.207912i) q^{9} +(-0.964548 - 1.90505i) q^{10} +(3.06975 + 0.652495i) q^{11} +(-0.226226 - 1.06431i) q^{12} +(0.226054 + 0.0734493i) q^{13} +(0.262560 + 2.51285i) q^{14} +(-2.15839 - 0.584252i) q^{15} +(0.625900 - 0.133039i) q^{16} +(-1.95230 - 4.38494i) q^{17} +(0.827002 + 0.477470i) q^{18} +(0.662369 - 6.30202i) q^{19} +(-0.635718 + 2.34852i) q^{20} +(2.13951 + 1.55644i) q^{21} +(1.76154 + 2.42455i) q^{22} +(1.86682 + 1.68089i) q^{23} +(1.47447 - 2.55386i) q^{24} +(3.69858 + 3.36459i) q^{25} +(0.113488 + 0.196568i) q^{26} +(0.951057 - 0.309017i) q^{27} +(1.69355 - 2.32798i) q^{28} +(-1.53063 + 1.11207i) q^{29} +(-1.15840 - 1.79379i) q^{30} +(7.88173 - 3.50917i) q^{31} +(-4.57853 - 2.64342i) q^{32} +(3.12114 + 0.328045i) q^{33} +(1.41642 - 4.35929i) q^{34} +(-2.66915 - 5.27974i) q^{35} +(-0.336238 - 1.03483i) q^{36} +(1.01536 + 4.77687i) q^{37} +(4.49692 - 4.04904i) q^{38} +(0.232493 + 0.0494179i) q^{39} +(-5.53937 + 3.57723i) q^{40} +(-1.02385 + 3.15108i) q^{41} +(0.523787 + 2.47164i) q^{42} +5.45851i q^{43} +(0.356942 - 3.39607i) q^{44} +(-2.20764 - 0.355438i) q^{45} +(0.250749 + 2.38572i) q^{46} +(-3.96995 + 8.91665i) q^{47} +(0.608565 - 0.197735i) q^{48} +(0.723195 + 6.96254i) q^{49} +(0.474828 + 4.75103i) q^{50} +(-2.39996 - 4.15684i) q^{51} +(0.0537711 - 0.252973i) q^{52} +(-11.3754 + 1.19560i) q^{53} +(0.872381 + 0.388409i) q^{54} +(-5.87560 - 3.83703i) q^{55} +(7.63266 - 1.61750i) q^{56} -6.33673i q^{57} +(-1.79682 - 0.188853i) q^{58} +(-9.42801 - 10.4709i) q^{59} +(-0.386748 + 2.40211i) q^{60} +(-8.37220 + 9.29827i) q^{61} +(7.83563 + 2.54595i) q^{62} +(2.29048 + 1.32427i) q^{63} +(-1.95557 - 6.01864i) q^{64} +(-0.412185 - 0.335528i) q^{65} +(2.00533 + 2.22714i) q^{66} +(1.76999 + 3.97546i) q^{67} +(-4.52302 + 2.61137i) q^{68} +(2.03229 + 1.47655i) q^{69} +(1.47946 - 5.45234i) q^{70} +(-3.36644 + 2.44586i) q^{71} +(1.19944 - 2.69399i) q^{72} +(-0.997255 + 4.69171i) q^{73} +(-2.33177 + 4.03874i) q^{74} +(4.03002 + 2.95955i) q^{75} -6.89493 q^{76} +(4.87641 + 6.72044i) q^{77} +(0.133414 + 0.183628i) q^{78} +(6.90054 + 3.07232i) q^{79} +(-1.41263 - 0.227439i) q^{80} +(0.913545 - 0.406737i) q^{81} +(-2.74006 + 1.58197i) q^{82} +(0.278466 - 0.383276i) q^{83} +(1.44093 - 2.49225i) q^{84} +(0.534340 + 10.7196i) q^{85} +(-3.48788 + 3.87368i) q^{86} +(-1.40600 + 1.26597i) q^{87} +(6.87761 - 6.19263i) q^{88} +(1.56618 - 1.73942i) q^{89} +(-1.33955 - 1.66288i) q^{90} +(0.314098 + 0.544801i) q^{91} +(1.60661 - 2.21131i) q^{92} +(7.47174 - 4.31381i) q^{93} +(-8.51487 + 3.79107i) q^{94} +(-6.46498 + 12.6085i) q^{95} +(-4.82976 - 2.15035i) q^{96} +(1.45752 + 2.00611i) q^{97} +(-3.93570 + 5.40314i) q^{98} +3.13833 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9}+O(q^{10}) \) 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9	\( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9} + 4 q^{10} - 6 q^{11} + 12 q^{14} + 4 q^{15} + 40 q^{16} - 20 q^{17} + 16 q^{19} + 8 q^{20} + 40 q^{22} - 60 q^{23} - 48 q^{24} + 4 q^{25} - 30 q^{28} + 24 q^{29} - 48 q^{30} - 30 q^{31} - 80 q^{36} + 30 q^{38} - 32 q^{40} + 36 q^{41} + 10 q^{42} - 16 q^{44} + 2 q^{45} + 32 q^{46} + 16 q^{49} - 140 q^{50} + 190 q^{52} - 60 q^{53} + 4 q^{54} - 8 q^{55} + 60 q^{58} + 24 q^{59} - 46 q^{60} - 20 q^{61} + 120 q^{62} + 10 q^{63} - 4 q^{64} - 30 q^{65} - 16 q^{66} - 60 q^{67} - 32 q^{69} - 76 q^{70} + 32 q^{71} - 30 q^{72} - 40 q^{73} - 12 q^{74} - 8 q^{75} - 344 q^{76} + 4 q^{79} - 52 q^{80} + 40 q^{81} - 80 q^{83} + 48 q^{84} - 76 q^{85} + 24 q^{86} - 200 q^{88} - 52 q^{90} + 26 q^{91} + 180 q^{92} + 16 q^{94} - 38 q^{95} - 58 q^{96} - 140 q^{97} + 360 q^{98} + 8 q^{99}+O(q^{100}) \) 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9 + 4 * q^10 - 6 * q^11 + 12 * q^14 + 4 * q^15 + 40 * q^16 - 20 * q^17 + 16 * q^19 + 8 * q^20 + 40 * q^22 - 60 * q^23 - 48 * q^24 + 4 * q^25 - 30 * q^28 + 24 * q^29 - 48 * q^30 - 30 * q^31 - 80 * q^36 + 30 * q^38 - 32 * q^40 + 36 * q^41 + 10 * q^42 - 16 * q^44 + 2 * q^45 + 32 * q^46 + 16 * q^49 - 140 * q^50 + 190 * q^52 - 60 * q^53 + 4 * q^54 - 8 * q^55 + 60 * q^58 + 24 * q^59 - 46 * q^60 - 20 * q^61 + 120 * q^62 + 10 * q^63 - 4 * q^64 - 30 * q^65 - 16 * q^66 - 60 * q^67 - 32 * q^69 - 76 * q^70 + 32 * q^71 - 30 * q^72 - 40 * q^73 - 12 * q^74 - 8 * q^75 - 344 * q^76 + 4 * q^79 - 52 * q^80 + 40 * q^81 - 80 * q^83 + 48 * q^84 - 76 * q^85 + 24 * q^86 - 200 * q^88 - 52 * q^90 + 26 * q^91 + 180 * q^92 + 16 * q^94 - 38 * q^95 - 58 * q^96 - 140 * q^97 + 360 * q^98 + 8 * q^99

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