LMFDB - Embedded newform 572.2.bn.a.95.5

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			95.5
Character	$\chi$	$=$	572.95
Dual form			572.2.bn.a.283.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39373 - 0.239824i) q^{2} +(0.309391 - 0.278577i) q^{3} +(1.88497 + 0.668501i) q^{4} +(-2.28550 - 3.14573i) q^{5} +(-0.498018 + 0.314062i) q^{6} +(2.11116 + 1.90090i) q^{7} +(-2.46682 - 1.38377i) q^{8} +(-0.295468 + 2.81119i) q^{9} +O(q^{10})$	\(q+(-1.39373 - 0.239824i) q^{2} +(0.309391 - 0.278577i) q^{3} +(1.88497 + 0.668501i) q^{4} +(-2.28550 - 3.14573i) q^{5} +(-0.498018 + 0.314062i) q^{6} +(2.11116 + 1.90090i) q^{7} +(-2.46682 - 1.38377i) q^{8} +(-0.295468 + 2.81119i) q^{9} +(2.43096 + 4.93242i) q^{10} +(-2.03103 - 2.62201i) q^{11} +(0.769422 - 0.318281i) q^{12} +(-2.51393 - 2.58460i) q^{13} +(-2.48651 - 3.15565i) q^{14} +(-1.58344 - 0.336571i) q^{15} +(3.10621 + 2.52021i) q^{16} +(0.454305 - 1.02039i) q^{17} +(1.08599 - 3.84718i) q^{18} +(-0.926897 - 4.36071i) q^{19} +(-2.20518 - 7.45746i) q^{20} +1.18272 q^{21} +(2.20189 + 4.14146i) q^{22} +(-3.61143 - 2.08506i) q^{23} +(-1.14870 + 0.259072i) q^{24} +(-3.12698 + 9.62387i) q^{25} +(2.88389 + 4.20514i) q^{26} +(1.42585 + 1.96252i) q^{27} +(2.70872 + 4.99444i) q^{28} +(-1.82546 + 8.58810i) q^{29} +(2.12618 + 0.848838i) q^{30} +(-1.15162 - 0.836700i) q^{31} +(-3.72482 - 4.25743i) q^{32} +(-1.35881 - 0.245427i) q^{33} +(-0.877892 + 1.31319i) q^{34} +(1.15464 - 10.9856i) q^{35} +(-2.43623 + 5.10148i) q^{36} +(-1.24263 + 5.84611i) q^{37} +(0.246041 + 6.29994i) q^{38} +(-1.49780 - 0.0993309i) q^{39} +(1.28495 + 10.9225i) q^{40} +(-4.77808 - 5.30660i) q^{41} +(-1.64839 - 0.283645i) q^{42} +(-6.16915 - 10.6853i) q^{43} +(-2.07562 - 6.30014i) q^{44} +(9.51852 - 5.49552i) q^{45} +(4.53331 + 3.77212i) q^{46} +(-2.44646 + 7.52943i) q^{47} +(1.66311 - 0.0855902i) q^{48} +(0.111888 + 1.06454i) q^{49} +(6.66621 - 12.6631i) q^{50} +(-0.143698 - 0.442258i) q^{51} +(-3.01086 - 6.55246i) q^{52} +(-7.73589 - 5.62045i) q^{53} +(-1.51659 - 3.07717i) q^{54} +(-3.60618 + 12.3817i) q^{55} +(-2.57743 - 7.61052i) q^{56} +(-1.50157 - 1.09095i) q^{57} +(4.60383 - 11.5317i) q^{58} +(-1.11946 + 1.24329i) q^{59} +(-2.75974 - 1.69296i) q^{60} +(-0.916953 + 2.05951i) q^{61} +(1.40438 + 1.44232i) q^{62} +(-5.96756 + 5.37321i) q^{63} +(4.17035 + 6.82702i) q^{64} +(-2.38486 + 13.8153i) q^{65} +(1.83496 + 0.667936i) q^{66} +(2.05754 - 3.56377i) q^{67} +(1.53848 - 1.61969i) q^{68} +(-1.69820 + 0.360963i) q^{69} +(-4.24388 + 15.0341i) q^{70} +(5.70864 + 2.54165i) q^{71} +(4.61890 - 6.52582i) q^{72} +(0.975711 + 3.00293i) q^{73} +(3.13393 - 7.84989i) q^{74} +(1.71353 + 3.84865i) q^{75} +(1.16796 - 8.83943i) q^{76} +(0.696330 - 9.39625i) q^{77} +(2.06371 + 0.497649i) q^{78} +(-9.69146 - 7.04126i) q^{79} +(0.828617 - 15.5312i) q^{80} +(-7.30685 - 1.55312i) q^{81} +(5.38671 + 8.54187i) q^{82} +(-6.27914 - 8.64249i) q^{83} +(2.22939 + 0.790650i) q^{84} +(-4.24817 + 0.902977i) q^{85} +(6.03554 + 16.3719i) q^{86} +(1.82767 + 3.16562i) q^{87} +(1.38192 + 9.27849i) q^{88} +(7.14190 + 4.12338i) q^{89} +(-14.5842 + 5.37650i) q^{90} +(-0.394239 - 10.2352i) q^{91} +(-5.41357 - 6.34451i) q^{92} +(-0.589386 + 0.0619470i) q^{93} +(5.21544 - 9.90727i) q^{94} +(-11.5992 + 12.8822i) q^{95} +(-2.33845 - 0.279564i) q^{96} +(-1.87021 - 0.196567i) q^{97} +(0.0993614 - 1.51052i) q^{98} +(7.97105 - 4.93489i) 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 $

$2$	−1.39373	−	0.239824i	−0.985516	−	0.169581i
$2$	−1.39373	−	0.239824i	−0.985516	−	0.169581i
$3$	0.309391	−	0.278577i	0.178627	−	0.160837i	−0.574967	−	0.818177i	$-0.694985\pi$
$3$	0.309391	−	0.278577i	0.178627	−	0.160837i	0.753594	+	0.657340i	$0.228318\pi$
$4$	1.88497	+	0.668501i	0.942484	+	0.334250i
$5$	−2.28550	−	3.14573i	−1.02211	−	1.40681i	−0.910715	−	0.413036i	$-0.864468\pi$
$5$	−2.28550	−	3.14573i	−1.02211	−	1.40681i	−0.111394	−	0.993776i	$-0.535532\pi$
$6$	−0.498018	+	0.314062i	−0.203315	+	0.128215i
$7$	2.11116	+	1.90090i	0.797943	+	0.718471i	0.963494	−	0.267730i	$-0.0862735\pi$
$7$	2.11116	+	1.90090i	0.797943	+	0.718471i	−0.165551	+	0.986201i	$0.552940\pi$
$8$	−2.46682	−	1.38377i	−0.872151	−	0.489237i
$9$	−0.295468	+	2.81119i	−0.0984892	+	0.937062i
$10$	2.43096	+	4.93242i	0.768736	+	1.55977i
$11$	−2.03103	−	2.62201i	−0.612379	−	0.790564i
$11$	−2.03103	−	2.62201i	−0.612379	−	0.790564i
$12$	0.769422	−	0.318281i	0.222113	−	0.0918798i
$13$	−2.51393	−	2.58460i	−0.697238	−	0.716840i
$13$	−2.51393	−	2.58460i	−0.697238	−	0.716840i
$14$	−2.48651	−	3.15565i	−0.664547	−	0.843382i
$15$	−1.58344	−	0.336571i	−0.408843	−	0.0869024i
$16$	3.10621	+	2.52021i	0.776553	+	0.630052i
$17$	0.454305	−	1.02039i	0.110185	−	0.247480i	−0.850034	−	0.526728i	$-0.823419\pi$
$17$	0.454305	−	1.02039i	0.110185	−	0.247480i	0.960219	+	0.279248i	$0.0900852\pi$
$18$	1.08599	−	3.84718i	0.255971	−	0.906788i
$19$	−0.926897	−	4.36071i	−0.212645	−	1.00041i	−0.946897	−	0.321538i	$-0.895800\pi$
$19$	−0.926897	−	4.36071i	−0.212645	−	1.00041i	0.734252	−	0.678877i	$-0.237533\pi$
$20$	−2.20518	−	7.45746i	−0.493094	−	1.66754i
$21$	1.18272			0.258091
$22$	2.20189	+	4.14146i	0.469444	+	0.882962i
$23$	−3.61143	−	2.08506i	−0.753035	−	0.434765i	0.0737545	−	0.997276i	$-0.476502\pi$
$23$	−3.61143	−	2.08506i	−0.753035	−	0.434765i	−0.826789	+	0.562512i	$0.809835\pi$
$24$	−1.14870	+	0.259072i	−0.234477	+	0.0528828i
$25$	−3.12698	+	9.62387i	−0.625397	+	1.92477i
$26$	2.88389	+	4.20514i	0.565577	+	0.824696i
$27$	1.42585	+	1.96252i	0.274405	+	0.377686i
$28$	2.70872	+	4.99444i	0.511900	+	0.943861i
$29$	−1.82546	+	8.58810i	−0.338979	+	1.59477i	0.397034	+	0.917804i	$0.370039\pi$
$29$	−1.82546	+	8.58810i	−0.338979	+	1.59477i	−0.736013	+	0.676967i	$0.763294\pi$
$30$	2.12618	+	0.848838i	0.388185	+	0.154976i
$31$	−1.15162	−	0.836700i	−0.206837	−	0.150276i	0.479545	−	0.877518i	$-0.340802\pi$
$31$	−1.15162	−	0.836700i	−0.206837	−	0.150276i	−0.686381	+	0.727242i	$0.740802\pi$
$32$	−3.72482	−	4.25743i	−0.658461	−	0.752615i
$33$	−1.35881	−	0.245427i	−0.236539	−	0.0427233i
$34$	−0.877892	+	1.31319i	−0.150557	+	0.225210i
$35$	1.15464	−	10.9856i	0.195169	−	1.85691i
$36$	−2.43623	+	5.10148i	−0.406038	+	0.850246i
$37$	−1.24263	+	5.84611i	−0.204287	+	0.961095i	0.749823	+	0.661639i	$0.230139\pi$
$37$	−1.24263	+	5.84611i	−0.204287	+	0.961095i	−0.954110	+	0.299457i	$0.903195\pi$
$38$	0.246041	+	6.29994i	0.0399131	+	1.02199i
$39$	−1.49780	−	0.0993309i	−0.239840	−	0.0159057i
$40$	1.28495	+	10.9225i	0.203168	+	1.72701i
$41$	−4.77808	−	5.30660i	−0.746211	−	0.828752i	0.243787	−	0.969829i	$-0.421610\pi$
$41$	−4.77808	−	5.30660i	−0.746211	−	0.828752i	−0.989999	+	0.141077i	$0.954943\pi$
$42$	−1.64839	−	0.283645i	−0.254353	−	0.0437674i
$43$	−6.16915	−	10.6853i	−0.940786	−	1.62949i	−0.763976	−	0.645245i	$-0.776755\pi$
$43$	−6.16915	−	10.6853i	−0.940786	−	1.62949i	−0.176810	−	0.984245i	$-0.556578\pi$
$44$	−2.07562	−	6.30014i	−0.312911	−	0.949782i
$45$	9.51852	−	5.49552i	1.41894	−	0.819224i
$46$	4.53331	+	3.77212i	0.668400	+	0.556169i
$47$	−2.44646	+	7.52943i	−0.356853	+	1.09828i	0.598075	+	0.801440i	$0.295933\pi$
$47$	−2.44646	+	7.52943i	−0.356853	+	1.09828i	−0.954927	+	0.296839i	$0.904067\pi$
$48$	1.66311	−	0.0855902i	0.240049	−	0.0123539i
$49$	0.111888	+	1.06454i	0.0159840	+	0.152077i
$50$	6.66621	−	12.6631i	0.942744	−	1.79084i
$51$	−0.143698	−	0.442258i	−0.0201218	−	0.0619285i
$52$	−3.01086	−	6.55246i	−0.417532	−	0.908662i
$53$	−7.73589	−	5.62045i	−1.06261	−	0.772029i	−0.0880377	−	0.996117i	$-0.528060\pi$
$53$	−7.73589	−	5.62045i	−1.06261	−	0.772029i	−0.974569	+	0.224088i	$0.928060\pi$
$54$	−1.51659	−	3.07717i	−0.206382	−	0.418750i
$55$	−3.60618	+	12.3817i	−0.486257	+	1.66954i
$56$	−2.57743	−	7.61052i	−0.344424	−	1.01700i
$57$	−1.50157	−	1.09095i	−0.198888	−	0.144500i
$58$	4.60383	−	11.5317i	0.604513	−	1.51419i
$59$	−1.11946	+	1.24329i	−0.145741	+	0.161862i	−0.811596	−	0.584220i	$-0.801401\pi$
$59$	−1.11946	+	1.24329i	−0.145741	+	0.161862i	0.665854	+	0.746082i	$0.268067\pi$
$60$	−2.75974	−	1.69296i	−0.356281	−	0.218560i
$61$	−0.916953	+	2.05951i	−0.117404	+	0.263693i	−0.962683	−	0.270632i	$-0.912767\pi$
$61$	−0.916953	+	2.05951i	−0.117404	+	0.263693i	0.845279	+	0.534325i	$0.179434\pi$
$62$	1.40438	+	1.44232i	0.178357	+	0.183175i
$63$	−5.96756	+	5.37321i	−0.751841	+	0.676961i
$64$	4.17035	+	6.82702i	0.521294	+	0.853377i
$65$	−2.38486	+	13.8153i	−0.295806	+	1.71357i
$66$	1.83496	+	0.667936i	0.225868	+	0.0822172i
$67$	2.05754	−	3.56377i	0.251369	−	0.435383i	−0.712534	−	0.701637i	$-0.752453\pi$
$67$	2.05754	−	3.56377i	0.251369	−	0.435383i	0.963903	+	0.266254i	$0.0857860\pi$
$68$	1.53848	−	1.61969i	0.186568	−	0.196417i
$69$	−1.69820	+	0.360963i	−0.204439	+	0.0434548i
$70$	−4.24388	+	15.0341i	−0.507240	+	1.79692i
$71$	5.70864	+	2.54165i	0.677491	+	0.301638i	0.716486	−	0.697601i	$-0.245749\pi$
$71$	5.70864	+	2.54165i	0.677491	+	0.301638i	−0.0389957	+	0.999239i	$0.512416\pi$
$72$	4.61890	−	6.52582i	0.544343	−	0.769075i
$73$	0.975711	+	3.00293i	0.114198	+	0.351466i	0.991779	−	0.127963i	$-0.0408438\pi$
$73$	0.975711	+	3.00293i	0.114198	+	0.351466i	−0.877581	+	0.479429i	$0.840844\pi$
$74$	3.13393	−	7.84989i	0.364312	−	0.912532i
$75$	1.71353	+	3.84865i	0.197861	+	0.444404i
$76$	1.16796	−	8.83943i	0.133975	−	1.01395i
$77$	0.696330	−	9.39625i	0.0793541	−	1.07080i
$78$	2.06371	+	0.497649i	0.233669	+	0.0563477i
$79$	−9.69146	−	7.04126i	−1.09037	−	0.792204i	−0.110912	−	0.993830i	$-0.535377\pi$
$79$	−9.69146	−	7.04126i	−1.09037	−	0.792204i	−0.979462	+	0.201627i	$0.935377\pi$
$80$	0.828617	−	15.5312i	0.0926422	−	1.73645i
$81$	−7.30685	−	1.55312i	−0.811872	−	0.172569i
$82$	5.38671	+	8.54187i	0.594862	+	0.943292i
$83$	−6.27914	−	8.64249i	−0.689225	−	0.948637i	0.310773	−	0.950484i	$-0.399412\pi$
$83$	−6.27914	−	8.64249i	−0.689225	−	0.948637i	−0.999998	+	0.00184726i	$0.999412\pi$
$84$	2.22939	+	0.790650i	0.243247	+	0.0862670i
$85$	−4.24817	+	0.902977i	−0.460779	+	0.0979416i
$86$	6.03554	+	16.3719i	0.650829	+	1.76543i
$87$	1.82767	+	3.16562i	0.195947	+	0.339390i
$88$	1.38192	+	9.27849i	0.147314	+	0.989090i
$89$	7.14190	+	4.12338i	0.757040	+	0.437077i	0.828232	−	0.560385i	$-0.189347\pi$
$89$	7.14190	+	4.12338i	0.757040	+	0.437077i	−0.0711920	+	0.997463i	$0.522680\pi$
$90$	−14.5842	+	5.37650i	−1.53731	+	0.566733i
$91$	−0.394239	−	10.2352i	−0.0413275	−	1.07294i
$92$	−5.41357	−	6.34451i	−0.564403	−	0.661461i
$93$	−0.589386	+	0.0619470i	−0.0611165	+	0.00642360i
$94$	5.21544	−	9.90727i	0.537932	−	1.02186i
$95$	−11.5992	+	12.8822i	−1.19005	+	1.32168i
$96$	−2.33845	−	0.279564i	−0.238667	−	0.0285329i
$97$	−1.87021	−	0.196567i	−0.189891	−	0.0199584i	0.00910551	−	0.999959i	$-0.497102\pi$
$97$	−1.87021	−	0.196567i	−0.189891	−	0.0199584i	−0.198997	+	0.980000i	$0.563768\pi$
$98$	0.0993614	−	1.51052i	0.0100370	−	0.152585i
$99$	7.97105	−	4.93489i	0.801121	−	0.495975i
$100$	−12.3278	+	16.0503i	−1.23278	+	1.60503i
$101$	2.80800	+	6.30687i	0.279406	+	0.627557i	0.997671	−	0.0682133i	$-0.0217298\pi$
$101$	2.80800	+	6.30687i	0.279406	+	0.627557i	−0.718264	+	0.695770i	$0.755063\pi$
$102$	0.0942125	+	0.650851i	0.00932843	+	0.0644438i
$103$	16.3681	−	5.31831i	1.61279	−	0.524029i	0.642568	−	0.766228i	$-0.277869\pi$
$103$	16.3681	−	5.31831i	1.61279	−	0.524029i	0.970226	+	0.242200i	$0.0778689\pi$
$104$	2.62489	+	9.85444i	0.257392	+	0.966307i
$105$	−2.70312	−	3.72052i	−0.263797	−	0.363086i
$106$	9.43383	+	9.68865i	0.916294	+	0.941045i
$107$	5.44376	+	6.04590i	0.526268	+	0.584480i	0.946406	−	0.322981i	$-0.104685\pi$
$107$	5.44376	+	6.04590i	0.526268	+	0.584480i	−0.420138	+	0.907460i	$0.638018\pi$
$108$	1.37574	+	4.65246i	0.132381	+	0.447683i
$109$	−13.9141			−1.33273			−0.666364	−	0.745627i	$-0.732150\pi$
$109$	−13.9141			−1.33273			−0.666364	+	0.745627i	$0.732150\pi$
$110$	7.99547	−	16.3919i	0.762338	−	1.56290i
$111$	1.24414	+	2.15491i	0.118088	+	0.204535i
$112$	1.76706	+	11.2251i	0.166971	+	1.06068i
$113$	9.48519	−	2.01614i	0.892291	−	0.189662i	0.261121	−	0.965306i	$-0.415908\pi$
$113$	9.48519	−	2.01614i	0.892291	−	0.189662i	0.631171	+	0.775644i	$0.282575\pi$
$114$	1.83114	+	1.88061i	0.171502	+	0.176135i
$115$	1.69491	+	16.1260i	0.158051	+	1.50376i
$116$	−9.18208	+	14.9680i	−0.852535	+	1.38974i
$117$	8.00858	−	6.30345i	0.740394	−	0.582754i
$118$	1.85840	−	1.46433i	0.171079	−	0.134803i
$119$	2.89876	−	1.29061i	0.265729	−	0.118310i
$120$	3.44033	+	3.02138i	0.314057	+	0.275813i
$121$	−2.74982	+	10.6507i	−0.249984	+	0.968250i
$122$	1.77191	−	2.65050i	0.160421	−	0.239965i
$123$	−2.95660	−	0.310751i	−0.266587	−	0.0280195i
$124$	−1.61143	−	2.34701i	−0.144711	−	0.210768i
$125$	18.9307	−	6.15095i	1.69321	−	0.550157i
$126$	9.60579	−	6.05764i	0.855752	−	0.539658i
$127$	−1.86176	−	17.7135i	−0.165205	−	1.57182i	−0.692044	−	0.721855i	$-0.743290\pi$
$127$	−1.86176	−	17.7135i	−0.165205	−	1.57182i	0.526839	−	0.849965i	$-0.323377\pi$
$128$	−4.17506	−	10.5152i	−0.369027	−	0.929419i
$129$	−4.88536	−	1.58735i	−0.430132	−	0.139758i
$130$	6.63709	−	18.6828i	0.582111	−	1.63859i
$131$	22.3317			1.95113			0.975566	−	0.219706i	$-0.0705100\pi$
$131$	22.3317			1.95113			0.975566	+	0.219706i	$0.0705100\pi$
$132$	−2.39726	−	1.37099i	−0.208654	−	0.119329i
$133$	6.33243	−	10.9681i	0.549091	−	0.951054i
$134$	−3.72233	+	4.47348i	−0.321561	+	0.386450i
$135$	2.91475	−	8.97068i	0.250862	−	0.772073i
$136$	−2.53267	+	1.88845i	−0.217175	+	0.161933i
$137$	6.13305	−	13.7751i	0.523982	−	1.17688i	−0.436795	−	0.899561i	$-0.643887\pi$
$137$	6.13305	−	13.7751i	0.523982	−	1.17688i	0.960777	−	0.277322i	$-0.0894468\pi$
$138$	2.45339	−	0.0958159i	0.208847	−	0.00815639i
$139$	3.92962	−	4.36428i	0.333306	−	0.370174i	−0.553074	−	0.833132i	$-0.686545\pi$
$139$	3.92962	−	4.36428i	0.333306	−	0.370174i	0.886380	+	0.462958i	$0.153212\pi$
$140$	9.52037	−	19.9357i	0.804618	−	1.68488i
$141$	1.34061	+	3.01107i	0.112900	+	0.253578i
$142$	−7.34675	−	4.91144i	−0.616526	−	0.412159i
$143$	−1.67098	+	11.8409i	−0.139734	+	0.990189i
$144$	−8.00256	+	7.98751i	−0.666880	+	0.665625i
$145$	31.1879	−	13.8858i	2.59002	−	1.15315i
$146$	−0.639702	−	4.41927i	−0.0529421	−	0.365742i
$147$	0.331174	+	0.298190i	0.0273148	+	0.0245943i
$148$	−6.25045	+	10.1890i	−0.513784	+	0.837534i
$149$	5.11922	+	2.27922i	0.419383	+	0.186721i	0.605568	−	0.795793i	$-0.292946\pi$
$149$	5.11922	+	2.27922i	0.419383	+	0.186721i	−0.186185	+	0.982515i	$0.559613\pi$
$150$	−1.46520	−	5.77492i	−0.119633	−	0.471521i
$151$	2.27427	+	0.738955i	0.185077	+	0.0601353i	0.400089	−	0.916476i	$-0.368979\pi$
$151$	2.27427	+	0.738955i	0.185077	+	0.0601353i	−0.215012	+	0.976611i	$0.568979\pi$
$152$	−3.74774	+	12.0397i	−0.303982	+	0.976546i
$153$	2.73426	+	1.57863i	0.221052	+	0.127625i
$154$	−3.22395	+	12.9288i	−0.259793	+	1.04184i
$155$			5.53496i			0.444578i
$156$	−2.75690	−	1.18852i	−0.220729	−	0.0951574i
$157$	1.96091	−	6.03506i	0.156498	−	0.481650i	−0.841812	−	0.539771i	$-0.818511\pi$
$157$	1.96091	−	6.03506i	0.156498	−	0.481650i	0.998310	+	0.0581207i	$0.0185108\pi$
$158$	11.8186	+	12.1379i	0.940239	+	0.965637i
$159$	−3.95915	+	0.416123i	−0.313981	+	0.0330007i
$160$	−4.87964	+	21.4476i	−0.385769	+	1.69558i
$161$	−3.66082	−	11.2668i	−0.288513	−	0.887952i
$162$	9.81130	+	3.91699i	0.770849	+	0.307748i
$163$	0.684443	−	6.51204i	0.0536097	−	0.510062i	−0.934461	−	0.356064i	$-0.884118\pi$
$163$	0.684443	−	6.51204i	0.0536097	−	0.510062i	0.988071	−	0.153998i	$-0.0492149\pi$
$164$	−5.45907	−	13.1969i	−0.426282	−	1.03051i
$165$	2.33353	+	4.83539i	0.181665	+	0.376434i
$166$	6.67875	+	13.5512i	0.518371	+	1.05178i
$167$	−3.73109	−	8.38017i	−0.288721	−	0.648477i	0.709709	−	0.704495i	$-0.248826\pi$
$167$	−3.73109	−	8.38017i	−0.288721	−	0.648477i	−0.998430	+	0.0560175i	$0.982160\pi$
$168$	−2.91756	−	1.63662i	−0.225094	−	0.126268i
$169$	−0.360341	+	12.9950i	−0.0277186	+	0.999616i
$170$	6.13736	−	0.239691i	0.470714	−	0.0183835i
$171$	12.5326	−	1.31723i	0.958394	−	0.100731i
$172$	−4.48553	−	24.2655i	−0.342019	−	1.85023i
$173$	2.10767	+	9.91579i	0.160243	+	0.753883i	0.982722	+	0.185088i	$0.0592570\pi$
$173$	2.10767	+	9.91579i	0.160243	+	0.753883i	−0.822479	+	0.568795i	$0.807410\pi$
$174$	−1.78809	−	4.85034i	−0.135555	−	0.367703i
$175$	−24.8955	+	14.3734i	−1.88193	+	1.08653i
$176$	0.299178	−	13.2631i	0.0225514	−	0.999746i
$177$			0.696519i			0.0523536i
$178$	−8.96500	−	7.45968i	−0.671955	−	0.559127i
$179$	1.68522	−	1.51738i	0.125959	−	0.113414i	−0.603744	−	0.797179i	$-0.706325\pi$
$179$	1.68522	−	1.51738i	0.125959	−	0.113414i	0.729703	+	0.683764i	$0.239658\pi$
$180$	21.6159	−	3.99574i	1.61115	−	0.297825i
$181$	−8.27335	+	6.01094i	−0.614953	+	0.446790i	−0.851155	−	0.524914i	$-0.824097\pi$
$181$	−8.27335	+	6.01094i	−0.614953	+	0.446790i	0.236202	+	0.971704i	$0.424097\pi$
$182$	−1.90519	+	14.3597i	−0.141222	+	1.06441i
$183$	0.290036	+	0.892638i	0.0214400	+	0.0659857i
$184$	6.02348	+	10.1408i	0.444057	+	0.747593i
$185$	21.2303	−	9.45235i	1.56088	−	0.694950i
$186$	0.836302	+	0.0550118i	0.0613206	+	0.00403366i
$187$	−3.59817	+	0.881246i	−0.263124	+	0.0644431i
$188$	−9.64493	+	12.5573i	−0.703429	+	0.915833i
$189$	−0.720340	+	6.85358i	−0.0523970	+	0.498525i
$190$	19.2556	−	15.1725i	1.39695	−	1.10073i
$191$	6.90706	+	6.21914i	0.499777	+	0.450002i	0.880056	−	0.474871i	$-0.157505\pi$
$191$	6.90706	+	6.21914i	0.499777	+	0.450002i	−0.380278	+	0.924872i	$0.624172\pi$
$192$	3.19212	+	0.950454i	0.230372	+	0.0685931i
$193$	−2.23902	−	21.3029i	−0.161169	−	1.53342i	−0.714014	−	0.700132i	$-0.753125\pi$
$193$	−2.23902	−	21.3029i	−0.161169	−	1.53342i	0.552845	−	0.833284i	$-0.313542\pi$
$194$	2.55943	+	0.722483i	0.183756	+	0.0518713i
$195$	3.11076	+	4.93869i	0.222766	+	0.353667i
$196$	−0.500741	+	2.08142i	−0.0357672	+	0.148673i
$197$	3.71381	−	6.43251i	0.264598	−	0.458298i	−0.702860	−	0.711328i	$-0.748094\pi$
$197$	3.71381	−	6.43251i	0.264598	−	0.458298i	0.967458	+	0.253031i	$0.0814273\pi$
$198$	−12.2930	+	4.96626i	−0.873626	+	0.352936i
$199$	13.4718	−	7.77792i	0.954987	−	0.551362i	0.0603606	−	0.998177i	$-0.480775\pi$
$199$	13.4718	−	7.77792i	0.954987	−	0.551362i	0.894627	+	0.446814i	$0.147442\pi$
$200$	21.0309	−	19.4133i	1.48711	−	1.37273i
$201$	−0.356199	−	1.67578i	−0.0251243	−	0.118201i
$202$	−2.40105	−	9.46350i	−0.168937	−	0.665850i
$203$	−20.1789	+	14.6609i	−1.41628	+	1.02899i
$204$	0.0247830	−	0.929705i	0.00173516	−	0.0650924i
$205$	−5.77278	+	27.1588i	−0.403189	+	1.89685i
$206$	−24.0881	+	3.48683i	−1.67830	+	0.242939i
$207$	6.92855	−	9.53633i	0.481568	−	0.662821i
$208$	−1.29506	−	14.3639i	−0.0897963	−	0.995960i
$209$	−9.55124	+	11.2871i	−0.660673	+	0.780742i
$210$	2.87514	+	5.83367i	0.198404	+	0.402562i
$211$	−5.89095	+	2.62282i	−0.405550	+	0.180562i	−0.599365	−	0.800476i	$-0.704580\pi$
$211$	−5.89095	+	2.62282i	−0.405550	+	0.180562i	0.193816	+	0.981038i	$0.437914\pi$
$212$	−10.8246	−	15.7658i	−0.743439	−	1.08280i
$213$	2.47425	−	0.803932i	0.169533	−	0.0550845i
$214$	−6.13717	−	9.73190i	−0.419529	−	0.665259i
$215$	−19.5134	+	43.8277i	−1.33080	+	2.98902i
$216$	−0.801638	−	6.81421i	−0.0545446	−	0.463649i
$217$	−0.840770	−	3.95551i	−0.0570752	−	0.268518i
$218$	19.3925	+	3.33694i	1.31342	+	0.226006i
$219$	1.13842	+	0.657270i	0.0769276	+	0.0444142i
$220$	−15.0747	+	20.9283i	−1.01634	+	1.41099i
$221$	−3.77938	+	1.39098i	−0.254229	+	0.0935673i
$222$	−1.21719	−	3.30173i	−0.0816925	−	0.221598i
$223$	5.98178	+	6.64344i	0.400569	+	0.444877i	0.909358	−	0.416014i	$-0.136573\pi$
$223$	5.98178	+	6.64344i	0.400569	+	0.444877i	−0.508789	+	0.860891i	$0.669907\pi$
$224$	0.229259	−	16.0686i	0.0153180	−	1.07363i
$225$	−26.1306	−	11.6341i	−1.74204	−	0.775605i
$226$	−13.7033	+	0.535175i	−0.911531	+	0.0355993i
$227$	−1.12609	−	1.01393i	−0.0747410	−	0.0672971i	0.630914	−	0.775853i	$-0.282680\pi$
$227$	−1.12609	−	1.01393i	−0.0747410	−	0.0672971i	−0.705655	+	0.708556i	$0.749347\pi$
$228$	−2.10111	−	3.06021i	−0.139149	−	0.202667i
$229$	−3.28902	+	4.52695i	−0.217345	+	0.299149i	−0.903742	−	0.428077i	$-0.859191\pi$
$229$	−3.28902	+	4.52695i	−0.217345	+	0.299149i	0.686397	+	0.727227i	$0.259191\pi$
$230$	1.50516	−	22.8818i	0.0992471	−	1.50878i
$231$	−2.40214	−	3.10110i	−0.158050	−	0.204038i
$232$	16.3870	−	18.6592i	1.07586	−	1.22504i
$233$	4.81926	−	6.63314i	0.315720	−	0.434551i	−0.621434	−	0.783466i	$-0.713450\pi$
$233$	4.81926	−	6.63314i	0.315720	−	0.434551i	0.937154	+	0.348915i	$0.113450\pi$
$234$	−12.6735	+	6.86466i	−0.828495	+	0.448757i
$235$	29.2769	−	9.51265i	1.90982	−	0.620537i
$236$	−2.94129	+	1.59520i	−0.191462	+	0.103839i
$237$	−4.95999	+	0.521316i	−0.322186	+	0.0338631i
$238$	−4.34961	+	1.10357i	−0.281943	+	0.0715339i
$239$	−13.3381	−	4.33382i	−0.862773	−	0.280332i	−0.155987	−	0.987759i	$-0.549856\pi$
$239$	−13.3381	−	4.33382i	−0.862773	−	0.280332i	−0.706786	+	0.707427i	$0.749856\pi$
$240$	−4.07028	−	5.03607i	−0.262736	−	0.325077i
$241$	−5.90951	−	10.2356i	−0.380665	−	0.659331i	0.610493	−	0.792022i	$-0.290971\pi$
$241$	−5.90951	−	10.2356i	−0.380665	−	0.659331i	−0.991157	+	0.132691i	$0.957638\pi$
$242$	6.38682	−	14.1848i	0.410560	−	0.911833i
$243$	−8.99576	+	5.19370i	−0.577078	+	0.333176i
$244$	−3.10521	+	3.26913i	−0.198791	+	0.209285i
$245$	3.09303	−	2.78498i	0.197607	−	0.177926i
$246$	4.04617	+	1.14217i	0.257975	+	0.0728219i
$247$	−8.94054	+	13.3582i	−0.568873	+	0.849959i
$248$	1.68303	+	3.65756i	0.106872	+	0.232255i
$249$	−4.35031	−	0.924688i	−0.275690	−	0.0585997i
$250$	−27.8594	+	4.03273i	−1.76198	+	0.255052i
$251$	7.93604	+	0.834112i	0.500919	+	0.0526487i	0.351619	−	0.936143i	$-0.385631\pi$
$251$	7.93604	+	0.834112i	0.500919	+	0.0526487i	0.149300	+	0.988792i	$0.452298\pi$
$252$	−14.8407	+	6.13902i	−0.934873	+	0.386722i
$253$	1.86789	+	13.7040i	0.117433	+	0.861563i
$254$	−1.65333	+	25.1344i	−0.103739	+	1.57707i
$255$	−1.06280	+	1.46282i	−0.0665551	+	0.0916052i
$256$	3.29712	+	15.6566i	0.206070	+	0.978537i
$257$	0.0332624	+	0.00707015i	0.00207485	+	0.000441024i	0.208949	−	0.977927i	$-0.432996\pi$
$257$	0.0332624	+	0.00707015i	0.00207485	+	0.000441024i	−0.206874	+	0.978368i	$0.566329\pi$
$258$	6.42819	+	3.38396i	0.400201	+	0.210676i
$259$	−13.7362	+	9.97997i	−0.853529	+	0.620125i
$260$	−13.7309	+	24.4470i	−0.851554	+	1.51614i
$261$	−23.6034	−	7.66921i	−1.46101	−	0.474712i
$262$	−31.1244	−	5.35569i	−1.92287	−	0.330876i
$263$	0.562680	−	0.974591i	0.0346963	−	0.0600958i	−0.848156	−	0.529747i	$-0.822287\pi$
$263$	0.562680	−	0.974591i	0.0346963	−	0.0600958i	0.882852	+	0.469651i	$0.155620\pi$
$264$	3.01233	+	2.48571i	0.185396	+	0.152985i
$265$			37.1806i			2.28399i
$266$	−11.4561	+	13.7679i	−0.702419	+	0.844163i
$267$	3.35832	−	0.713834i	0.205526	−	0.0436859i
$268$	6.26078	−	5.34212i	0.382438	−	0.326322i
$269$	−14.1871	−	6.31650i	−0.865002	−	0.385124i	−0.0742346	−	0.997241i	$-0.523651\pi$
$269$	−14.1871	−	6.31650i	−0.865002	−	0.385124i	−0.790767	+	0.612117i	$0.790318\pi$
$270$	−6.21376	+	11.8037i	−0.378157	+	0.718349i
$271$	2.33837	−	11.0012i	0.142046	−	0.668273i	−0.848284	−	0.529541i	$-0.822364\pi$
$271$	2.33837	−	11.0012i	0.142046	−	0.668273i	0.990330	−	0.138732i	$-0.0443026\pi$
$272$	3.98275	−	2.02459i	0.241490	−	0.122759i
$273$	−2.97328	−	3.05687i	−0.179951	−	0.185010i
$274$	−11.8514	+	17.7279i	−0.715970	+	1.07098i
$275$	31.5848	−	11.3474i	1.90464	−	0.684274i
$276$	−3.44235	−	0.454842i	−0.207205	−	0.0273783i
$277$	−25.0646	−	2.63439i	−1.50598	−	0.158285i	−0.684709	−	0.728817i	$-0.740071\pi$
$277$	−25.0646	−	2.63439i	−1.50598	−	0.158285i	−0.821276	+	0.570531i	$0.806737\pi$
$278$	−6.52349	+	5.14021i	−0.391253	+	0.308290i
$279$	2.69238	−	2.99020i	0.161189	−	0.179018i
$280$	−18.0499	+	25.5018i	−1.07869	+	1.52402i
$281$	0.349248	−	0.253744i	0.0208344	−	0.0151371i	−0.577319	−	0.816518i	$-0.695901\pi$
$281$	0.349248	−	0.253744i	0.0208344	−	0.0151371i	0.598154	+	0.801381i	$0.295901\pi$
$282$	−1.14633	−	4.51813i	−0.0682628	−	0.269051i
$283$	−0.797813	−	0.886061i	−0.0474250	−	0.0526709i	0.718966	−	0.695046i	$-0.244616\pi$
$283$	−0.797813	−	0.886061i	−0.0474250	−	0.0526709i	−0.766391	+	0.642375i	$0.777949\pi$
$284$	9.06151	+	8.60716i	0.537702	+	0.510741i
$285$			7.21690i			0.427492i
$286$	5.16864	−	16.1023i	0.305628	−	0.952151i
$287$		−	20.2857i		−	1.19743i
$288$	13.0690	−	9.21322i	0.770098	−	0.542894i
$289$	10.5404	+	11.7063i	0.620025	+	0.688608i
$290$	−46.7977	+	11.8734i	−2.74806	+	0.697229i
$291$	−0.633386	+	0.460182i	−0.0371297	+	0.0269763i
$292$	−0.168277	+	6.31269i	−0.00984764	+	0.369422i
$293$	−3.73129	+	4.14402i	−0.217984	+	0.242096i	−0.842212	−	0.539146i	$-0.818747\pi$
$293$	−3.73129	+	4.14402i	−0.217984	+	0.242096i	0.624228	+	0.781242i	$0.285414\pi$
$294$	−0.390054	−	0.495021i	−0.0227484	−	0.0288702i
$295$	6.46958	+	0.679980i	0.376673	+	0.0395900i
$296$	11.1550	−	12.7018i	0.648373	−	0.738275i
$297$	2.24978	−	7.72452i	0.130545	−	0.448222i
$298$	−6.58820	−	4.40434i	−0.381644	−	0.255136i
$299$	3.68982	+	14.5758i	0.213388	+	0.842940i
$300$	0.657123	+	8.40008i	0.0379390	+	0.484979i
$301$	7.28755	−	34.2852i	0.420048	−	1.97617i
$302$	−2.99250	−	1.57533i	−0.172199	−	0.0906500i
$303$	2.62572	+	1.16905i	0.150844	+	0.0671600i
$304$	8.11074	−	15.8813i	0.465183	−	0.910853i
$305$	8.57436	−	1.82254i	0.490967	−	0.104358i
$306$	−3.43223	−	2.85592i	−0.196208	−	0.163262i
$307$		−	12.2040i		−	0.696517i	−0.937399	−	0.348258i	$-0.886773\pi$
$307$		−	12.2040i		−	0.696517i	0.937399	−	0.348258i	$-0.113227\pi$
$308$	7.59396	−	17.2461i	0.432706	−	0.982690i
$309$	3.58258	−	6.20522i	0.203806	−	0.353002i
$310$	1.32742	−	7.71424i	0.0753922	−	0.438139i
$311$	−17.1208	−	5.56289i	−0.970833	−	0.315443i	−0.219681	−	0.975572i	$-0.570502\pi$
$311$	−17.1208	−	5.56289i	−0.970833	−	0.315443i	−0.751152	+	0.660129i	$0.770502\pi$
$312$	3.55734	+	2.31764i	0.201395	+	0.131211i
$313$	4.19549	−	3.04820i	0.237143	−	0.172295i	−0.462866	−	0.886428i	$-0.653179\pi$
$313$	4.19549	−	3.04820i	0.237143	−	0.172295i	0.700010	+	0.714133i	$0.253179\pi$
$314$	−4.18034	+	7.94098i	−0.235910	+	0.448135i
$315$	30.5415	+	6.49180i	1.72082	+	0.365772i
$316$	−13.5610	−	19.7513i	−0.762867	−	1.11110i
$317$	4.35198	−	5.98998i	0.244431	−	0.336431i	−0.669120	−	0.743154i	$-0.733329\pi$
$317$	4.35198	−	5.98998i	0.244431	−	0.336431i	0.913551	+	0.406723i	$0.133329\pi$
$318$	5.61778	+	0.369537i	0.315030	+	0.0207226i
$319$	26.2256	−	12.6563i	1.46835	−	0.708619i
$320$	11.9446	−	28.7220i	0.667722	−	1.60561i
$321$	3.36850	+	0.354044i	0.188012	+	0.0197608i
$322$	2.40013	+	16.5809i	0.133754	+	0.924017i
$323$	−4.87070	−	1.03530i	−0.271013	−	0.0576056i
$324$	−12.7349	−	7.81221i	−0.707495	−	0.434012i
$325$	32.7349	−	16.1117i	1.81580	−	0.893716i
$326$	−2.51567	+	8.91188i	−0.139330	+	0.493583i
$327$	−4.30490	+	3.87615i	−0.238061	+	0.214351i
$328$	4.44353	+	19.7022i	0.245353	+	1.08787i
$329$	−19.4775	+	11.2454i	−1.07383	+	0.619977i
$330$	−2.09267	−	7.29886i	−0.115198	−	0.401789i
$331$	14.9769	+	25.9408i	0.823206	+	1.42583i	0.903283	+	0.429046i	$0.141150\pi$
$331$	14.9769	+	25.9408i	0.823206	+	1.42583i	−0.0800771	+	0.996789i	$0.525517\pi$
$332$	−6.05846	−	20.4884i	−0.332501	−	1.12445i
$333$	−16.0674	−	5.22060i	−0.880486	−	0.286087i
$334$	3.19037	+	12.5745i	0.174569	+	0.688047i
$335$	−15.9132	+	1.67254i	−0.869428	+	0.0913806i
$336$	3.67379	+	2.98070i	0.200421	+	0.162611i
$337$	17.9368	−	5.82802i	0.977081	−	0.317473i	0.223410	−	0.974725i	$-0.428281\pi$
$337$	17.9368	−	5.82802i	0.977081	−	0.317473i	0.753671	+	0.657252i	$0.228281\pi$
$338$	3.61874	−	18.0251i	0.196833	−	0.980437i
$339$	2.37299	−	3.26613i	0.128883	−	0.177392i
$340$	−8.61132	−	1.13782i	−0.467014	−	0.0617072i
$341$	0.145142	+	4.71891i	0.00785988	+	0.255543i
$342$	−17.7830	−	1.16976i	−0.961595	−	0.0632535i
$343$	9.90128	−	13.6279i	0.534619	−	0.735840i
$344$	0.432167	+	34.8953i	0.0233009	+	1.88143i
$345$	5.01672	+	4.51708i	0.270091	+	0.243191i
$346$	−0.559471	−	14.3254i	−0.0300773	−	0.770138i
$347$	−4.90204	−	2.18253i	−0.263155	−	0.117164i	0.270918	−	0.962602i	$-0.412673\pi$
$347$	−4.90204	−	2.18253i	−0.263155	−	0.117164i	−0.534073	+	0.845438i	$0.679339\pi$
$348$	1.32888	+	7.18889i	0.0712356	+	0.385365i
$349$	20.6144	+	22.8946i	1.10346	+	1.22552i	0.972195	+	0.234173i	$0.0752383\pi$
$349$	20.6144	+	22.8946i	1.10346	+	1.22552i	0.131268	+	0.991347i	$0.458095\pi$
$350$	38.1448	−	14.0622i	2.03892	−	0.751654i
$351$	1.48784	−	8.61888i	0.0794149	−	0.460042i
$352$	−3.59779	+	18.4135i	−0.191763	+	0.981441i
$353$	−27.4304	−	15.8370i	−1.45997	−	0.842917i	−0.460965	−	0.887418i	$-0.652497\pi$
$353$	−27.4304	−	15.8370i	−1.45997	−	0.842917i	−0.999009	+	0.0445018i	$0.985830\pi$
$354$	0.167042	−	0.970760i	0.00887820	−	0.0515953i
$355$	−5.05178	−	23.7668i	−0.268121	−	1.26141i
$356$	10.7058	+	12.5468i	0.567405	+	0.664979i
$357$	0.537317	−	1.20683i	0.0284378	−	0.0638724i
$358$	−2.71265	+	1.71066i	−0.143368	+	0.0904113i
$359$	−5.29054	+	1.71900i	−0.279224	+	0.0907254i	−0.445281	−	0.895391i	$-0.646896\pi$
$359$	−5.29054	+	1.71900i	−0.279224	+	0.0907254i	0.166057	+	0.986116i	$0.446896\pi$
$360$	−31.0850	+	0.384977i	−1.63832	+	0.0202901i
$361$	−0.799264	+	0.355855i	−0.0420665	+	0.0187292i
$362$	12.9724	−	6.39348i	0.681814	−	0.336034i
$363$	2.11629	+	4.06129i	0.111076	+	0.213162i
$364$	6.09913	−	19.5566i	0.319681	−	1.02505i
$365$	7.21640	−	9.93253i	0.377724	−	0.519892i
$366$	−0.190155	−	1.31365i	−0.00993957	−	0.0686658i
$367$	−1.29360	+	6.08593i	−0.0675256	+	0.317683i	−0.998927	−	0.0463105i	$-0.985254\pi$
$367$	−1.29360	+	6.08593i	−0.0675256	+	0.317683i	0.931401	+	0.363994i	$0.118587\pi$
$368$	−5.96309	−	15.5782i	−0.310847	−	0.812069i
$369$	16.3296	−	11.8642i	0.850086	−	0.617623i
$370$	−31.8562	+	8.08247i	−1.65613	+	0.420188i
$371$	−5.64780	−	26.5708i	−0.293219	−	1.37949i
$372$	−1.15239	−	0.277237i	−0.0597485	−	0.0143741i
$373$	0.994424	−	0.574131i	0.0514893	−	0.0297274i	−0.474034	−	0.880506i	$-0.657203\pi$
$373$	0.994424	−	0.574131i	0.0514893	−	0.0297274i	0.525524	+	0.850779i	$0.323869\pi$
$374$	5.22622	−	0.365291i	0.270241	−	0.0188888i
$375$	4.14347	−	7.17671i	0.213968	−	0.370604i
$376$	16.4540	−	15.1884i	0.848549	−	0.783280i
$377$	26.7859	−	16.8718i	1.37954	−	0.868941i
$378$	2.64761	−	9.37929i	0.136179	−	0.482418i
$379$	2.66055	+	25.3134i	0.136663	+	1.30026i	0.820929	+	0.571030i	$0.193456\pi$
$379$	2.66055	+	25.3134i	0.136663	+	1.30026i	−0.684266	+	0.729232i	$0.739877\pi$
$380$	−30.4758	+	16.5285i	−1.56338	+	0.847892i
$381$	−5.51060	−	4.96176i	−0.282316	−	0.254199i
$382$	−8.13508	−	10.3243i	−0.416227	−	0.528237i
$383$	0.188655	−	1.79493i	0.00963983	−	0.0917169i	−0.988644	−	0.150276i	$-0.951984\pi$
$383$	0.188655	−	1.79493i	0.00963983	−	0.0917169i	0.998284	+	0.0585588i	$0.0186505\pi$
$384$	−4.22102	−	2.09023i	−0.215403	−	0.106666i
$385$	−31.1495	+	19.2847i	−1.58753	+	0.982840i
$386$	−1.98836	+	30.2275i	−0.101205	+	1.53854i
$387$	31.8611	−	14.1855i	1.61959	−	0.721088i
$388$	−3.39388	−	1.62076i	−0.172298	−	0.0822816i
$389$	4.09589	+	12.6058i	0.207670	+	0.639142i	0.999593	+	0.0285214i	$0.00907989\pi$
$389$	4.09589	+	12.6058i	0.207670	+	0.639142i	−0.791923	+	0.610620i	$0.790920\pi$
$390$	−3.15114	−	7.62924i	−0.159564	−	0.386321i
$391$	−3.76826	+	2.73780i	−0.190569	+	0.138456i
$392$	1.19707	−	2.78085i	0.0604614	−	0.140454i
$393$	6.90925	−	6.22111i	0.348525	−	0.313814i
$394$	−6.71873	+	8.07453i	−0.338485	+	0.406789i
$395$			46.5795i			2.34367i
$396$	18.3242	−	3.97346i	0.920824	−	0.199674i
$397$	−9.11033	+	5.25985i	−0.457235	+	0.263985i	−0.710881	−	0.703313i	$-0.751703\pi$
$397$	−9.11033	+	5.25985i	−0.457235	+	0.263985i	0.253646	+	0.967297i	$0.418370\pi$
$398$	−20.6413	+	7.60947i	−1.03466	+	0.381428i
$399$	−1.09626	−	5.15750i	−0.0548817	−	0.258198i
$400$	−33.9672	+	22.0131i	−1.69836	+	1.10066i
$401$	−9.90804	+	1.04138i	−0.494784	+	0.0520039i	−0.348635	−	0.937259i	$-0.613355\pi$
$401$	−9.90804	+	1.04138i	−0.494784	+	0.0520039i	−0.146149	+	0.989263i	$0.546688\pi$
$402$	0.0945514	+	2.42101i	0.00471579	+	0.120749i
$403$	0.732548	+	5.07988i	0.0364908	+	0.253047i
$404$	1.07684	+	13.7654i	0.0535749	+	0.684854i
$405$	11.8141	+	26.5350i	0.587050	+	1.31854i
$406$	31.6400	−	15.5939i	1.57027	−	0.773911i
$407$	17.8524	−	8.61546i	0.884909	−	0.427052i
$408$	−0.257507	+	1.28981i	−0.0127485	+	0.0638553i
$409$	−1.81017	+	17.2227i	−0.0895073	+	0.851605i	0.854004	+	0.520266i	$0.174167\pi$
$409$	−1.81017	+	17.2227i	−0.0895073	+	0.851605i	−0.943512	+	0.331339i	$0.892499\pi$
$410$	14.5590	−	36.4676i	0.719020	−	1.80101i
$411$	−1.93991	−	5.97042i	−0.0956885	−	0.294499i
$412$	34.4086	+	0.917226i	1.69519	+	0.0451885i
$413$	−4.72672	+	0.496799i	−0.232587	+	0.0244459i
$414$	−11.9436	+	11.6294i	−0.586995	+	0.571556i
$415$	−12.8359	+	39.5049i	−0.630091	+	1.93922i
$416$	−1.63986	+	20.3300i	−0.0804006	+	0.996763i
$417$		−	2.44497i		−	0.119731i
$418$	16.0188	−	13.4405i	0.783503	−	0.657396i
$419$	−13.1565	−	7.59589i	−0.642736	−	0.371084i	0.142932	−	0.989733i	$-0.454347\pi$
$419$	−13.1565	−	7.59589i	−0.642736	−	0.371084i	−0.785668	+	0.618649i	$0.787680\pi$
$420$	−2.60812	−	8.82010i	−0.127263	−	0.430377i
$421$	−16.5279	−	5.37023i	−0.805519	−	0.261729i	−0.122820	−	0.992429i	$-0.539194\pi$
$421$	−16.5279	−	5.37023i	−0.805519	−	0.261729i	−0.682699	+	0.730700i	$0.739194\pi$
$422$	8.83941	−	2.24271i	0.430296	−	0.109173i
$423$	−20.4438	−	9.10216i	−0.994010	−	0.442562i
$424$	11.3056	+	24.5693i	0.549048	+	1.19319i
$425$	8.39946	+	7.56290i	0.407433	+	0.366855i
$426$	−3.64124	+	0.527080i	−0.176419	+	0.0255371i
$427$	−5.85075	+	2.60492i	−0.283138	+	0.126061i
$428$	6.21962	+	15.0355i	0.300637	+	0.726768i
$429$	2.78163	+	4.12898i	0.134298	+	0.199349i
$430$	37.7073	−	56.4042i	1.81841	−	2.72005i
$431$	−11.5486	−	25.9385i	−0.556274	−	1.24941i	−0.944701	−	0.327933i	$-0.893648\pi$
$431$	−11.5486	−	25.9385i	−0.556274	−	1.24941i	0.388427	−	0.921480i	$-0.373019\pi$
$432$	−0.516947	+	9.68943i	−0.0248716	+	0.466183i
$433$	−1.12442	+	1.24880i	−0.0540362	+	0.0600133i	−0.769557	−	0.638578i	$-0.779523\pi$
$433$	−1.12442	+	1.24880i	−0.0540362	+	0.0600133i	0.715521	+	0.698592i	$0.246190\pi$
$434$	0.223179	+	5.71456i	0.0107129	+	0.274307i
$435$	5.78102	−	12.9844i	0.277179	−	0.622553i
$436$	−26.2276	−	9.30158i	−1.25607	−	0.445465i
$437$	−5.74491	+	17.6810i	−0.274816	+	0.845798i
$438$	−1.42903	−	1.18908i	−0.0682816	−	0.0568164i
$439$	−10.6368	+	18.4235i	−0.507667	+	0.879304i	0.492294	+	0.870429i	$0.336159\pi$
$439$	−10.6368	+	18.4235i	−0.507667	+	0.879304i	−0.999961	+	0.00887543i	$0.997175\pi$
$440$	26.0292	−	25.5532i	1.24089	−	1.21820i
$441$	−3.02568			−0.144080
$442$	5.60103	−	1.03226i	0.266414	−	0.0490996i
$443$	3.81202	+	1.23860i	0.181114	+	0.0588477i	0.398170	−	0.917312i	$-0.369645\pi$
$443$	3.81202	+	1.23860i	0.181114	+	0.0588477i	−0.217056	+	0.976159i	$0.569645\pi$
$444$	0.904600	+	4.89364i	0.0429304	+	0.232242i
$445$	−3.35182	−	31.8905i	−0.158892	−	1.51175i
$446$	−6.74373	−	10.6937i	−0.319325	−	0.506363i
$447$	2.21878	−	0.720926i	0.104945	−	0.0340986i
$448$	−4.17317	+	22.3403i	−0.197164	+	1.05548i
$449$	−12.8729	−	1.35300i	−0.607512	−	0.0638520i	−0.204222	−	0.978925i	$-0.565467\pi$
$449$	−12.8729	−	1.35300i	−0.607512	−	0.0638520i	−0.403289	+	0.915073i	$0.632133\pi$
$450$	33.6288	+	22.4815i	1.58528	+	1.05979i
$451$	−4.20949	+	23.3060i	−0.198217	+	1.09744i
$452$	19.2271	+	2.54050i	0.904365	+	0.119495i
$453$	0.909495	−	0.404933i	0.0427318	−	0.0190254i
$454$	1.32629	+	1.68321i	0.0622461	+	0.0789970i
$455$	−31.2962	+	24.6328i	−1.46719	+	1.15480i
$456$	2.19446	+	4.76901i	0.102765	+	0.223329i
$457$	0.0618803	+	0.588752i	0.00289464	+	0.0275407i	0.995874	−	0.0907481i	$-0.0289258\pi$
$457$	0.0618803	+	0.588752i	0.00289464	+	0.0275407i	−0.992979	+	0.118289i	$0.962259\pi$
$458$	5.66968	−	5.52056i	0.264927	−	0.257959i
$459$	2.65030	−	0.563338i	0.123705	−	0.0262943i
$460$	−7.58538	+	31.5300i	−0.353670	+	1.47009i
$461$	1.76195	+	3.05178i	0.0820621	+	0.142136i	0.904136	−	0.427246i	$-0.140516\pi$
$461$	1.76195	+	3.05178i	0.0820621	+	0.142136i	−0.822073	+	0.569381i	$0.807183\pi$
$462$	2.60422	+	4.89819i	0.121159	+	0.227885i
$463$	−32.0906			−1.49137			−0.745687	−	0.666296i	$-0.767879\pi$
$463$	−32.0906			−1.49137			−0.745687	+	0.666296i	$0.767879\pi$
$464$	−27.3141	+	22.0759i	−1.26802	+	1.02485i
$465$	1.54191	+	1.71247i	0.0715045	+	0.0794138i
$466$	−8.30753	+	8.08903i	−0.384839	+	0.374717i
$467$	−4.09052	−	5.63012i	−0.189287	−	0.260531i	0.703817	−	0.710381i	$-0.251477\pi$
$467$	−4.09052	−	5.63012i	−0.189287	−	0.260531i	−0.893104	+	0.449850i	$0.851477\pi$
$468$	19.3098	−	6.52806i	0.892596	−	0.301760i
$469$	11.1181	−	3.61251i	0.513388	−	0.166810i
$470$	−43.0855	+	6.23675i	−1.98739	+	0.287680i
$471$	−1.07454	−	2.41346i	−0.0495123	−	0.111206i
$472$	4.48193	−	1.51788i	0.206298	−	0.0698662i
$473$	−15.4871	+	37.8777i	−0.712099	+	1.74162i
$474$	7.03792	+	0.462953i	0.323262	+	0.0212641i
$475$	44.8652	+	4.71553i	2.05856	+	0.216363i
$476$	6.32685	−	0.494938i	0.289991	−	0.0226854i
$477$	18.0859	−	20.0864i	0.828094	−	0.919692i
$478$	17.5504	+	9.23899i	0.802737	+	0.422582i
$479$	21.2123	−	2.22951i	0.969216	−	0.101869i	0.393329	−	0.919398i	$-0.371323\pi$
$479$	21.2123	−	2.22951i	0.969216	−	0.101869i	0.575887	+	0.817529i	$0.304657\pi$
$480$	4.46511	+	7.99507i	0.203803	+	0.364924i
$481$	18.2338	−	11.4850i	0.831388	−	0.523671i
$482$	5.78152	+	15.6829i	0.263341	+	0.714335i
$483$	−4.27131	−	2.46604i	−0.194352	−	0.112209i
$484$	−12.3034	+	18.2381i	−0.559244	+	0.829003i
$485$	3.65603	+	6.33242i	0.166012	+	0.287541i
$486$	13.7832	−	5.08122i	0.625220	−	0.230489i
$487$	−20.8752	+	4.43715i	−0.945944	+	0.201067i	−0.654962	−	0.755662i	$-0.727315\pi$
$487$	−20.8752	+	4.43715i	−0.945944	+	0.201067i	−0.290982	+	0.956729i	$0.593982\pi$
$488$	5.11185	−	3.81158i	0.231402	−	0.172542i
$489$	−1.60235	−	2.20544i	−0.0724606	−	0.0997334i
$490$	−4.97876	+	3.13973i	−0.224918	+	0.141838i
$491$	−16.7237	−	3.55474i	−0.754731	−	0.160423i	−0.185550	−	0.982635i	$-0.559407\pi$
$491$	−16.7237	−	3.55474i	−0.754731	−	0.160423i	−0.569182	+	0.822212i	$0.692740\pi$
$492$	−5.36535	−	2.56224i	−0.241889	−	0.115515i
$493$	7.93387	+	5.76429i	0.357323	+	0.259611i
$494$	15.6643	−	16.4735i	0.704771	−	0.741178i
$495$	−33.7417	−	13.7960i	−1.51658	−	0.620086i
$496$	−1.46852	−	5.50128i	−0.0659383	−	0.247015i
$497$	7.22043	+	16.2174i	0.323881	+	0.727448i
$498$	5.84140	+	2.33208i	0.261760	+	0.104503i
$499$	−1.86427	−	5.73762i	−0.0834560	−	0.256851i	0.900618	−	0.434612i	$-0.143115\pi$
$499$	−1.86427	−	5.73762i	−0.0834560	−	0.256851i	−0.984074	+	0.177761i	$0.943115\pi$
$500$	39.7956	+	1.06083i	1.77971	+	0.0474416i
$501$	−3.48890	−	1.55336i	−0.155872	−	0.0693988i
$502$	−10.8607	−	3.06578i	−0.484735	−	0.136833i
$503$	35.7488	−	7.59865i	1.59396	−	0.338807i	0.676441	−	0.736497i	$-0.263521\pi$
$503$	35.7488	−	7.59865i	1.59396	−	0.338807i	0.917520	+	0.397690i	$0.130188\pi$
$504$	22.1562	−	4.99699i	0.986913	−	0.222583i
$505$	13.4220	−	23.2476i	0.597271	−	1.03450i
$506$	0.683221	−	19.5477i	0.0303729	−	0.868999i
$507$	3.50863	+	4.12093i	0.155824	+	0.183017i
$508$	8.33213	−	34.6340i	0.369678	−	1.53664i
$509$	−19.4399	+	17.5038i	−0.861659	+	0.775841i	−0.976039	−	0.217596i	$-0.930178\pi$
$509$	−19.4399	+	17.5038i	−0.861659	+	0.775841i	0.114380	+	0.993437i	$0.463512\pi$
$510$	1.83208	−	1.78389i	0.0811257	−	0.0789919i
$511$	−3.64838	+	8.19439i	−0.161395	+	0.362498i
$512$	−0.840464	−	22.6118i	−0.0371436	−	0.999310i
$513$	7.23634	−	8.03677i	0.319492	−	0.354832i
$514$	−0.0446633	−	0.0178310i	−0.00197001	−	0.000786493i
$515$	−54.1393	−	39.3345i	−2.38566	−	1.73328i
$516$	−8.14760	−	6.25797i	−0.358678	−	0.275492i
$517$	24.7110	−	8.87787i	1.08679	−	0.390448i
$518$	21.5381	−	10.6151i	0.946328	−	0.466401i
$519$	3.41441	+	2.48071i	0.149876	+	0.108891i
$520$	25.0002	−	30.7796i	1.09633	−	1.34977i
$521$	1.54190	+	4.74549i	0.0675520	+	0.207904i	0.979134	−	0.203214i	$-0.0651386\pi$
$521$	1.54190	+	4.74549i	0.0675520	+	0.207904i	−0.911582	+	0.411117i	$0.865139\pi$
$522$	31.0575	+	16.3495i	1.35935	+	0.715597i
$523$	−2.39273	−	22.7653i	−0.104627	−	0.995457i	−0.913325	−	0.407232i	$-0.866494\pi$
$523$	−2.39273	−	22.7653i	−0.104627	−	0.995457i	0.808698	−	0.588224i	$-0.200173\pi$
$524$	42.0946	+	14.9288i	1.83891	+	0.652167i
$525$	−3.69835	+	11.3824i	−0.161409	+	0.496767i
$526$	−1.01796	+	1.22337i	−0.0443849	+	0.0533416i
$527$	−1.37694	+	0.794978i	−0.0599806	+	0.0346298i
$528$	−3.60224	−	4.18684i	−0.156767	−	0.182209i
$529$	−2.80506	−	4.85850i	−0.121959	−	0.211239i
$530$	8.91681	−	51.8197i	0.387321	−	2.25090i
$531$	−3.16435	−	3.51437i	−0.137321	−	0.152511i
$532$	19.2686	−	16.4413i	0.835400	−	0.712819i
$533$	−1.70370	+	25.6899i	−0.0737953	+	1.11275i
$534$	−4.85179	+	0.189484i	−0.209958	+	0.00819977i
$535$	6.57703	−	30.9425i	0.284350	−	1.33776i
$536$	−10.0070	+	5.94398i	−0.432237	+	0.256741i
$537$	0.0986854	−	0.938929i	0.00425859	−	0.0405178i
$538$	18.2581	+	12.2059i	0.787163	+	0.526234i
$539$	2.56398	−	2.45549i	0.110439	−	0.105765i
$540$	11.4911	−	14.9609i	0.494499	−	0.643816i
$541$	16.9409	+	12.3083i	0.728346	+	0.529174i	0.889040	−	0.457830i	$-0.151373\pi$
$541$	16.9409	+	12.3083i	0.728346	+	0.529174i	−0.160694	+	0.987004i	$0.551373\pi$
$542$	−5.89740	+	14.7719i	−0.253315	+	0.634506i
$543$	−0.885192	+	4.16450i	−0.0379872	+	0.178716i
$544$	−6.03643	+	1.86658i	−0.258810	+	0.0800289i
$545$	31.8007	+	43.7699i	1.36219	+	1.87490i
$546$	3.41083	+	4.97351i	0.145970	+	0.212847i
$547$	5.48828	−	16.8912i	0.234662	−	0.722214i	−0.762504	−	0.646983i	$-0.776030\pi$
$547$	5.48828	−	16.8912i	0.234662	−	0.722214i	0.997166	−	0.0752314i	$-0.0239696\pi$
$548$	20.7693	−	21.8656i	0.887218	−	0.934052i
$549$	−5.51874	−	3.18625i	−0.235534	−	0.135986i
$550$	−46.7421	+	8.24041i	−1.99309	+	0.351372i
$551$	39.1422			1.66751
$552$	4.68862	+	1.45949i	0.199561	+	0.0621199i
$553$	−7.07552	−	33.2877i	−0.300882	−	1.41554i
$554$	34.3015	+	9.68273i	1.45733	+	0.411380i
$555$	3.93527	−	8.83876i	0.167043	−	0.375184i
$556$	10.3247	−	5.59958i	0.437866	−	0.237475i
$557$	−4.49230	−	0.954867i	−0.190345	−	0.0404590i	0.111753	−	0.993736i	$-0.464354\pi$
$557$	−4.49230	−	0.954867i	−0.190345	−	0.0404590i	−0.302098	+	0.953277i	$0.597687\pi$
$558$	−4.46958	+	3.52183i	−0.189212	+	0.149091i
$559$	−12.1084	+	42.8068i	−0.512131	+	1.81053i
$560$	31.2726	−	31.2138i	1.32151	−	1.31902i
$561$	−0.867747	+	1.27502i	−0.0366363	+	0.0538313i
$562$	−0.547611	+	0.269892i	−0.0230996	+	0.0113847i
$563$	−2.33761	+	22.2409i	−0.0985186	+	0.937342i	0.827907	+	0.560865i	$0.189531\pi$
$563$	−2.33761	+	22.2409i	−0.0985186	+	0.937342i	−0.926426	+	0.376477i	$0.877135\pi$
$564$	0.514113	+	6.57197i	0.0216481	+	0.276730i
$565$	−28.0207	−	25.2299i	−1.17884	−	1.06143i
$566$	0.899437	+	1.42626i	0.0378062	+	0.0599504i
$567$	−12.4736	−	17.1684i	−0.523842	−	0.721007i
$568$	−10.5651	−	14.1692i	−0.443301	−	0.594528i
$569$	−0.612139	+	0.551173i	−0.0256622	+	0.0231064i	−0.681862	−	0.731481i	$-0.738830\pi$
$569$	−0.612139	+	0.551173i	−0.0256622	+	0.0231064i	0.656200	+	0.754587i	$0.272163\pi$
$570$	1.73079	−	10.0584i	0.0724948	−	0.421301i
$571$	−25.5177			−1.06788			−0.533942	−	0.845521i	$-0.679290\pi$
$571$	−25.5177			−1.06788			−0.533942	+	0.845521i	$0.679290\pi$
$572$	−11.0654	+	21.2027i	−0.462668	+	0.886531i
$573$	3.86950			0.161651
$574$	−4.86501	+	28.2728i	−0.203062	+	1.18009i
$575$	31.3592	−	28.2360i	1.30777	−	1.17752i
$576$	−20.4242	+	9.70648i	−0.851009	+	0.404437i
$577$	−15.7557	−	21.6859i	−0.655920	−	0.902796i	0.343418	−	0.939183i	$-0.388415\pi$
$577$	−15.7557	−	21.6859i	−0.655920	−	0.902796i	−0.999338	+	0.0363867i	$0.988415\pi$
$578$	−11.8830	−	18.8433i	−0.494270	−	0.783779i
$579$	−6.62724	−	5.96719i	−0.275419	−	0.247988i
$580$	68.0709	−	5.32506i	2.82649	−	0.221111i
$581$	3.17222	−	30.1817i	0.131606	−	1.25215i
$582$	0.993132	−	0.489468i	0.0411667	−	0.0202891i
$583$	0.974978	+	31.6989i	0.0403795	+	1.31283i
$584$	1.74847	−	8.75783i	0.0723522	−	0.362402i
$585$	−38.1326	−	10.7863i	−1.57659	−	0.445957i
$586$	6.19425	−	4.88079i	0.255882	−	0.201623i
$587$	−36.8465	−	7.83197i	−1.52082	−	0.323260i	−0.629630	−	0.776895i	$-0.716794\pi$
$587$	−36.8465	−	7.83197i	−1.52082	−	0.323260i	−0.891188	+	0.453635i	$0.850127\pi$
$588$	0.424912	+	0.783470i	0.0175231	+	0.0323097i
$589$	−2.58117	+	5.79740i	−0.106355	+	0.238878i
$590$	−8.85377	−	2.49927i	−0.364504	−	0.102893i
$591$	−0.642930	−	3.02475i	−0.0264466	−	0.124422i
$592$	−18.5933	+	15.0276i	−0.764179	+	0.617630i
$593$	−17.1257			−0.703267			−0.351634	−	0.936138i	$-0.614374\pi$
$593$	−17.1257			−0.703267			−0.351634	+	0.936138i	$0.614374\pi$
$594$	−4.98811	+	10.2263i	−0.204665	+	0.419592i
$595$	−10.6850	−	6.16901i	−0.438044	−	0.252905i
$596$	8.12590	+	7.71847i	0.332850	+	0.316161i
$597$	2.00129	−	6.15935i	0.0819075	−	0.252085i
$598$	−1.64698	−	21.1996i	−0.0673501	−	0.866918i
$599$	−5.15739	−	7.09854i	−0.210725	−	0.290039i	0.690551	−	0.723284i	$-0.257368\pi$
$599$	−5.15739	−	7.09854i	−0.210725	−	0.290039i	−0.901276	+	0.433245i	$0.857368\pi$
$600$	1.09869	−	11.8650i	0.0448539	−	0.484388i
$601$	−0.0225548	+	0.106112i	−0.000920028	+	0.00432839i	−0.978605	−	0.205747i	$-0.934038\pi$
$601$	−0.0225548	+	0.106112i	−0.000920028	+	0.00432839i	0.977685	+	0.210075i	$0.0673709\pi$
$602$	−18.3793	+	46.0366i	−0.749085	+	1.87631i
$603$	9.41047	+	6.83711i	0.383224	+	0.278429i
$604$	3.79293	+	2.91326i	0.154332	+	0.118539i
$605$	39.7891	−	15.6921i	1.61766	−	0.637976i
$606$	−3.37918	−	2.25905i	−0.137270	−	0.0917675i
$607$	−2.38291	+	22.6719i	−0.0967195	+	0.920225i	0.833326	+	0.552781i	$0.186434\pi$
$607$	−2.38291	+	22.6719i	−0.0967195	+	0.920225i	−0.930046	+	0.367444i	$0.880233\pi$
$608$	−15.1129	+	20.1890i	−0.612909	+	0.818774i
$609$	−2.15901	+	10.1573i	−0.0874874	+	0.411596i
$610$	−12.3874	+	0.483784i	−0.501553	+	0.0195879i
$611$	25.6108	−	12.6053i	1.03610	−	0.509956i
$612$	4.09869	+	4.80352i	0.165680	+	0.194171i
$613$	20.4584	+	22.7213i	0.826306	+	0.917705i	0.997720	−	0.0674936i	$-0.0215002\pi$
$613$	20.4584	+	22.7213i	0.826306	+	0.917705i	−0.171414	+	0.985199i	$0.554834\pi$
$614$	−2.92681	+	17.0090i	−0.118116	+	0.686428i
$615$	5.77978	+	10.0109i	0.233063	+	0.403677i
$616$	−14.7200	+	22.2153i	−0.593085	+	0.895078i
$617$	−30.7567	+	17.7574i	−1.23822	+	0.714885i	−0.968730	−	0.248119i	$-0.920188\pi$
$617$	−30.7567	+	17.7574i	−1.23822	+	0.714885i	−0.269488	+	0.963004i	$0.586854\pi$
$618$	−6.48132	+	7.78921i	−0.260717	+	0.313328i
$619$	5.54493	−	17.0655i	0.222869	−	0.685921i	−0.775632	−	0.631186i	$-0.782568\pi$
$619$	5.54493	−	17.0655i	0.222869	−	0.685921i	0.998501	−	0.0547354i	$-0.0174315\pi$
$620$	−3.70012	+	10.4332i	−0.148601	+	0.419008i
$621$	−1.05740	−	10.0605i	−0.0424319	−	0.403713i
$622$	22.5277	+	11.8592i	0.903278	+	0.475509i
$623$	7.23958	+	22.2811i	0.290048	+	0.892675i
$624$	−4.40215	−	4.08331i	−0.176227	−	0.163463i
$625$	−21.6826	−	15.7533i	−0.867304	−	0.630133i
$626$	−6.57842	+	3.24219i	−0.262926	+	0.129584i
$627$	0.189247	+	6.15288i	0.00755781	+	0.245722i
$628$	7.73070	−	10.0650i	0.308488	−	0.401639i
$629$	5.40076	+	3.92388i	0.215342	+	0.156455i
$630$	−41.0098	−	16.3724i	−1.63387	−	0.652293i
$631$	0.0681572	−	0.0756963i	0.00271330	−	0.00301342i	−0.741787	−	0.670636i	$-0.766021\pi$
$631$	0.0681572	−	0.0756963i	0.00271330	−	0.00301342i	0.744500	+	0.667623i	$0.232688\pi$
$632$	14.1636	+	30.7803i	0.563396	+	1.22437i
$633$	−1.09195	+	2.45256i	−0.0434012	+	0.0974806i
$634$	−7.50203	+	7.30471i	−0.297944	+	0.290107i
$635$	−51.4668	+	46.3409i	−2.04240	+	1.83898i
$636$	−7.74105	−	1.86232i	−0.306953	−	0.0738456i
$637$	2.47014	−	2.96536i	0.0978704	−	0.117492i
$638$	−39.5867	+	11.3500i	−1.56725	+	0.449351i
$639$	−8.83177	+	15.2971i	−0.349379	+	0.605143i
$640$	−23.5357	+	37.1661i	−0.930332	+	1.46912i
$641$	48.9923	−	10.4136i	1.93508	−	0.411314i	0.937005	−	0.349316i	$-0.113586\pi$
$641$	48.9923	−	10.4136i	1.93508	−	0.411314i	0.998076	−	0.0619986i	$-0.0197474\pi$
$642$	−4.60988	−	1.30129i	−0.181937	−	0.0513579i
$643$	38.1498	+	16.9854i	1.50448	+	0.669838i	0.983030	−	0.183444i	$-0.0587247\pi$
$643$	38.1498	+	16.9854i	1.50448	+	0.669838i	0.521450	+	0.853282i	$0.325391\pi$
$644$	0.631366	−	23.6849i	0.0248793	−	0.933316i
$645$	6.17214	+	18.9959i	0.243028	+	0.747963i
$646$	6.54015	+	2.61104i	0.257319	+	0.102730i
$647$	9.80341	+	22.0188i	0.385412	+	0.865649i	0.997211	+	0.0746357i	$0.0237794\pi$
$647$	9.80341	+	22.0188i	0.385412	+	0.865649i	−0.611799	+	0.791013i	$0.709554\pi$
$648$	15.8755	+	13.9423i	0.623648	+	0.547704i
$649$	5.53357	+	0.410077i	0.217212	+	0.0160969i
$650$	−49.4876	+	14.6047i	−1.94106	+	0.572845i
$651$	−1.36204	−	0.989583i	−0.0533827	−	0.0387848i
$652$	5.64346	−	11.8174i	0.221015	−	0.462807i
$653$	9.54027	+	2.02785i	0.373340	+	0.0793558i	0.390760	−	0.920492i	$-0.372212\pi$
$653$	9.54027	+	2.02785i	0.373340	+	0.0793558i	−0.0174207	+	0.999848i	$0.505545\pi$
$654$	6.92946	−	4.36989i	0.270963	−	0.170876i
$655$	−51.0393	−	70.2495i	−1.99427	−	2.74488i
$656$	−1.46802	−	28.5252i	−0.0573166	−	1.11372i
$657$	−8.73009	+	1.85564i	−0.340593	+	0.0723953i
$658$	29.8433	−	11.0018i	1.16341	−	0.428895i
$659$	−13.5086	−	23.3976i	−0.526220	−	0.911439i	−0.999533	−	0.0305453i	$-0.990276\pi$
$659$	−13.5086	−	23.3976i	−0.526220	−	0.911439i	0.473314	−	0.880894i	$-0.343058\pi$
$660$	1.16618	+	10.6745i	0.0453933	+	0.415505i
$661$	−14.7074	−	8.49130i	−0.572050	−	0.330273i	0.185918	−	0.982565i	$-0.440474\pi$
$661$	−14.7074	−	8.49130i	−0.572050	−	0.330273i	−0.757968	+	0.652292i	$0.773808\pi$
$662$	−14.6526	−	39.7463i	−0.569488	−	1.54478i
$663$	−0.781814	+	1.48321i	−0.0303631	+	0.0576030i
$664$	3.53024	+	30.0083i	0.137000	+	1.16455i
$665$	−48.9754	+	5.14752i	−1.89918	+	0.199612i
$666$	21.1415	+	11.1295i	0.819218	+	0.431258i
$667$	24.4992	−	27.2091i	0.948613	−	1.05354i
$668$	−1.43084	−	18.2906i	−0.0553609	−	0.707685i
$669$	3.70142	+	0.389035i	0.143105	+	0.0150410i
$670$	22.5798	+	1.48529i	0.872332	+	0.0573818i
$671$	7.26241	−	1.77868i	0.280362	−	0.0686650i
$672$	−4.40542	−	5.03536i	−0.169943	−	0.194243i
$673$	19.3082	+	43.3669i	0.744276	+	1.67167i	0.740844	+	0.671677i	$0.234426\pi$
$673$	19.3082	+	43.3669i	0.744276	+	1.67167i	0.00343149	+	0.999994i	$0.498908\pi$
$674$	−26.3968	+	3.82101i	−1.01677	+	0.147180i
$675$	−23.3456	+	7.58544i	−0.898572	+	0.291964i
$676$	−9.36640	+	24.2543i	−0.360246	+	0.932857i
$677$	−28.0122	−	38.5555i	−1.07660	−	1.48181i	−0.863214	−	0.504839i	$-0.831552\pi$
$677$	−28.0122	−	38.5555i	−1.07660	−	1.48181i	−0.213383	−	0.976969i	$-0.568448\pi$
$678$	−4.09060	+	3.98301i	−0.157099	+	0.152967i
$679$	−3.57466	−	3.97006i	−0.137183	−	0.152357i
$680$	11.7290	+	3.65102i	0.449786	+	0.140010i
$681$	−0.630860			−0.0241746
$682$	0.929421	−	6.61170i	0.0355894	−	0.253175i
$683$	22.0438	+	38.1810i	0.843482	+	1.46095i	0.886933	+	0.461898i	$0.152831\pi$
$683$	22.0438	+	38.1810i	0.843482	+	1.46095i	−0.0434511	+	0.999056i	$0.513835\pi$
$684$	24.5042	+	5.89513i	0.936941	+	0.225406i
$685$	−57.3497	+	12.1901i	−2.19122	+	0.465758i
$686$	−17.0680	+	16.6191i	−0.651660	+	0.634521i
$687$	0.243510	+	2.31685i	0.00929050	+	0.0883932i
$688$	7.76642	−	48.7383i	0.296092	−	1.85813i
$689$	4.92083	+	34.1236i	0.187469	+	1.30001i
$690$	−5.90865	−	7.49872i	−0.224939	−	0.285471i
$691$	36.2324	−	16.1317i	1.37834	−	0.613678i	0.422180	−	0.906512i	$-0.361265\pi$
$691$	36.2324	−	16.1317i	1.37834	−	0.613678i	0.956163	+	0.292834i	$0.0945982\pi$
$692$	−2.65583	+	20.0999i	−0.100959	+	0.764084i
$693$	26.2089	+	4.73380i	0.995593	+	0.179822i
$694$	6.30870	+	4.21748i	0.239475	+	0.160094i
$695$	−22.7100	−	2.38692i	−0.861439	−	0.0905409i
$696$	−0.128034	−	10.3381i	−0.00485310	−	0.391863i
$697$	−7.58549	+	2.46468i	−0.287321	+	0.0933562i
$698$	−23.2402	−	36.8527i	−0.879655	−	1.39490i
$699$	−0.356805	−	3.39477i	−0.0134956	−	0.128402i
$700$	−56.5360	+	10.4508i	−2.13686	+	0.395003i
$701$	8.22518	+	2.67252i	0.310661	+	0.100940i	0.460198	−	0.887816i	$-0.347778\pi$
$701$	8.22518	+	2.67252i	0.310661	+	0.100940i	−0.149537	+	0.988756i	$0.547778\pi$
$702$	−4.14066	+	11.6556i	−0.156279	+	0.439911i
$703$	26.6450			1.00493
$704$	9.43035	−	24.8006i	0.355420	−	0.934707i
$705$	6.40802	−	11.0990i	0.241340	−	0.418013i
$706$	34.4325	+	28.6509i	1.29589	+	1.07829i
$707$	−6.06057	+	18.6525i	−0.227931	+	0.701500i
$708$	−0.465624	+	1.31292i	−0.0174992	+	0.0493424i
$709$	9.32096	−	20.9352i	0.350056	−	0.786239i	−0.649607	−	0.760270i	$-0.725066\pi$
$709$	9.32096	−	20.9352i	0.350056	−	0.786239i	0.999663	−	0.0259684i	$-0.00826692\pi$
$710$	1.34097	+	34.3360i	0.0503258	+	1.28861i
$711$	22.6578	−	25.1640i	0.849734	−	0.943726i
$712$	−11.9119	−	20.0544i	−0.446419	−	0.751569i
$713$	2.41442	+	5.42287i	0.0904207	+	0.203088i
$714$	−1.03830	+	1.55314i	−0.0388575	+	0.0581247i
$715$	41.0674	−	21.8061i	1.53583	−	0.815501i
$716$	4.19096	−	1.73364i	0.156624	−	0.0647893i
$717$	−5.33401	+	2.37486i	−0.199202	+	0.0886906i
$718$	7.78584	−	1.12702i	0.290565	−	0.0420601i
$719$	−12.4601	−	11.2192i	−0.464685	−	0.418404i	0.403244	−	0.915093i	$-0.367883\pi$
$719$	−12.4601	−	11.2192i	−0.464685	−	0.418404i	−0.867929	+	0.496688i	$0.834549\pi$
$720$	43.4164	+	6.91838i	1.61803	+	0.257833i
$721$	44.6652	+	19.8862i	1.66342	+	0.740602i
$722$	1.19930	−	0.304283i	0.0446334	−	0.0113243i
$723$	−4.67975	−	1.52054i	−0.174042	−	0.0565496i
$724$	−19.6133	+	5.79969i	−0.728924	+	0.215544i
$725$	−76.9426	−	44.4228i	−2.85758	−	1.64982i
$726$	−1.97554	−	6.16788i	−0.0733190	−	0.228911i
$727$		−	37.0603i		−	1.37449i	−0.726426	−	0.687244i	$-0.758820\pi$
$727$		−	37.0603i		−	1.37449i	0.726426	−	0.687244i	$-0.241180\pi$
$728$	−13.1907	+	25.7939i	−0.488880	+	0.955987i
$729$	5.58879	−	17.2005i	0.206992	−	0.637056i
$730$	−12.4398	+	12.1126i	−0.460417	+	0.448307i
$731$	−13.7058	+	1.44054i	−0.506927	+	0.0532802i
$732$	−0.0500212	+	1.87648i	−0.00184883	+	0.0693568i
$733$	3.38797	+	10.4271i	0.125138	+	0.385134i	0.993926	−	0.110049i	$-0.0351009\pi$
$733$	3.38797	+	10.4271i	0.125138	+	0.385134i	−0.868789	+	0.495183i	$0.835101\pi$
$734$	3.26249	−	8.17191i	0.120421	−	0.301631i
$735$	0.181126	−	1.72330i	0.00668093	−	0.0635648i
$736$	4.57491	+	23.1419i	0.168633	+	0.853021i
$737$	−13.5231	+	1.84324i	−0.498131	+	0.0678965i
$738$	−25.6044	+	12.6192i	−0.942511	+	0.464519i
$739$	−7.58310	−	17.0319i	−0.278949	−	0.626529i	0.718681	−	0.695340i	$-0.244746\pi$
$739$	−7.58310	−	17.0319i	−0.278949	−	0.626529i	−0.997630	+	0.0688107i	$0.978080\pi$
$740$	46.3374	−	3.62489i	1.70340	−	0.133254i
$741$	0.955152	+	6.62353i	0.0350884	+	0.243322i
$742$	1.49918	+	38.3870i	0.0550368	+	1.40923i
$743$	24.2706	−	2.55094i	0.890401	−	0.0935849i	0.351730	−	0.936101i	$-0.385593\pi$
$743$	24.2706	−	2.55094i	0.890401	−	0.0935849i	0.538670	+	0.842517i	$0.318927\pi$
$744$	1.53963	+	0.662764i	0.0564455	+	0.0242981i
$745$	−4.53018	−	21.3128i	−0.165973	−	0.780842i
$746$	−1.52365	+	0.561696i	−0.0557848	+	0.0205652i
$747$	26.1509	−	15.0983i	0.956813	−	0.552416i
$748$	−7.37154	−	0.744257i	−0.269530	−	0.0272127i
$749$			23.1119i			0.844490i
$750$	−7.49603	+	9.00869i	−0.273716	+	0.328951i
$751$	−32.1250	+	28.9255i	−1.17226	+	1.05551i	−0.174775	+	0.984608i	$0.555920\pi$
$751$	−32.1250	+	28.9255i	−1.17226	+	1.05551i	−0.997484	+	0.0708976i	$0.977414\pi$
$752$	−26.5749	+	17.2224i	−0.969088	+	0.628037i
$753$	2.68771	−	1.95273i	0.0979456	−	0.0711616i
$754$	−41.3786	+	17.0908i	−1.50692	+	0.622410i
$755$	−2.87330	−	8.84311i	−0.104570	−	0.321834i
$756$	−5.93944	+	12.4372i	−0.216015	+	0.452338i
$757$	−13.7738	+	6.13247i	−0.500616	+	0.222888i	−0.641479	−	0.767141i	$-0.721679\pi$
$757$	−13.7738	+	6.13247i	−0.500616	+	0.222888i	0.140863	+	0.990029i	$0.455012\pi$
$758$	2.36269	−	35.9181i	0.0858166	−	1.30460i
$759$	4.39553	+	3.71955i	0.159548	+	0.135011i
$760$	46.4390	−	15.7274i	1.68452	−	0.570491i
$761$	0.367517	−	3.49669i	0.0133225	−	0.126755i	−0.985839	−	0.167693i	$-0.946368\pi$
$761$	0.367517	−	3.49669i	0.0133225	−	0.126755i	0.999162	+	0.0409386i	$0.0130348\pi$
$762$	6.49033	+	8.23694i	0.235120	+	0.298393i
$763$	−29.3749	−	26.4492i	−1.06344	−	0.957527i
$764$	8.86209	+	16.3403i	0.320619	+	0.591170i
$765$	−1.28324	−	12.2092i	−0.0463956	−	0.441425i
$766$	−0.693404	+	2.45641i	−0.0250537	+	0.0887537i
$767$	6.02765	−	0.232172i	0.217646	−	0.00838325i
$768$	5.38167	+	3.92551i	0.194194	+	0.141650i
$769$	−6.81358	+	11.8015i	−0.245704	+	0.425572i	−0.962329	−	0.271887i	$-0.912352\pi$
$769$	−6.81358	+	11.8015i	−0.245704	+	0.425572i	0.716625	+	0.697458i	$0.245686\pi$
$770$	48.0390	−	19.4073i	1.73120	−	0.699390i
$771$	0.0122607	−	0.00707872i	0.000441558	−	0.000254934i
$772$	10.0205	−	41.6521i	0.360646	−	1.49909i
$773$	1.75638	+	8.26312i	0.0631726	+	0.297204i	0.998380	−	0.0568964i	$-0.0181205\pi$
$773$	1.75638	+	8.26312i	0.0631726	+	0.297204i	−0.935207	+	0.354100i	$0.884787\pi$
$774$	−47.8078	+	12.1297i	−1.71842	+	0.435992i
$775$	11.6534	−	8.46667i	0.418602	−	0.304132i
$776$	4.34146	+	3.07284i	0.155849	+	0.110308i
$777$	−1.46969	+	6.91432i	−0.0527247	+	0.248050i
$778$	−2.68538	−	18.5514i	−0.0962754	−	0.665102i
$779$	−18.7117	+	25.7545i	−0.670417	+	0.922750i
$780$	2.56217	+	11.3888i	0.0917402	+	0.407785i
$781$	−4.93020	−	20.1302i	−0.176417	−	0.720317i
$782$	5.90852	−	2.91203i	0.211288	−	0.104134i
$783$	−19.4571	+	8.66287i	−0.695341	+	0.309586i
$784$	−2.33531	+	3.58867i	−0.0834041	+	0.128167i
$785$	−23.4663	+	7.62467i	−0.837549	+	0.272136i
$786$	−11.1216	+	7.01355i	−0.396694	+	0.250165i
$787$	7.39436	−	16.6080i	0.263580	−	0.592011i	−0.732470	−	0.680799i	$-0.761633\pi$
$787$	7.39436	−	16.6080i	0.263580	−	0.592011i	0.996051	+	0.0887880i	$0.0282994\pi$
$788$	11.3006	−	9.64240i	0.402566	−	0.343496i
$789$	−0.0974104	−	0.458280i	−0.00346790	−	0.0163152i
$790$	11.1709	−	64.9193i	0.397443	−	2.30973i
$791$	23.8572	+	13.7740i	0.848265	+	0.489746i
$792$	−26.4919	+	1.14335i	−0.941348	+	0.0406273i
$793$	7.62817	−	2.80750i	0.270884	−	0.0996973i
$794$	13.9588	−	5.14594i	0.495379	−	0.182623i
$795$	10.3577	+	11.5034i	0.367349	+	0.407982i
$796$	30.5934	−	5.65526i	1.08435	−	0.200445i
$797$	37.8437	+	16.8491i	1.34049	+	0.596826i	0.946624	−	0.322341i	$-0.104470\pi$
$797$	37.8437	+	16.8491i	1.34049	+	0.596826i	0.393869	+	0.919167i	$0.371136\pi$
$798$	0.290998	+	7.45108i	0.0103012	+	0.263765i
$799$	6.57148	+	5.91699i	0.232482	+	0.209328i
$800$	52.6204	−	22.5342i	1.86041	−	0.796705i
$801$	−13.7018	+	18.8589i	−0.484129	+	0.666346i
$802$	14.0589	+	0.924790i	0.496436	+	0.0326555i
$803$	5.89200	−	8.65736i	0.207924	−	0.305512i
$804$	0.448839	−	3.39692i	0.0158293	−	0.119800i
$805$	−27.0756	+	37.2664i	−0.954290	+	1.31347i
$806$	0.197303	−	7.25566i	0.00694972	−	0.255570i
$807$	−6.14899	+	1.99793i	−0.216455	+	0.0703304i
$808$	1.80045	−	19.4435i	0.0633396	−	0.684020i
$809$	25.5024	−	2.68041i	0.896617	−	0.0942382i	0.355003	−	0.934865i	$-0.384480\pi$
$809$	25.5024	−	2.68041i	0.896617	−	0.0942382i	0.541614	+	0.840627i	$0.317813\pi$
$810$	−10.1020	−	39.8160i	−0.354948	−	1.39899i
$811$	33.4544	+	10.8700i	1.17474	+	0.381697i	0.830411	−	0.557151i	$-0.188106\pi$
$811$	33.4544	+	10.8700i	1.17474	+	0.381697i	0.344331	+	0.938848i	$0.388106\pi$
$812$	−47.8374	+	14.1456i	−1.67877	+	0.496414i
$813$	−2.34120	−	4.05508i	−0.0821096	−	0.142218i
$814$	−26.9476	+	7.72620i	−0.944512	+	0.270803i
$815$	−22.0494	+	12.7302i	−0.772357	+	0.445920i
$816$	0.668224	−	1.73590i	0.0233925	−	0.0607685i
$817$	−40.8772	+	36.8060i	−1.43011	+	1.28768i
$818$	6.65331	−	23.5696i	0.232627	−	0.824092i
$819$	28.8896	+	1.91590i	1.00948	+	0.0669469i
$820$	−29.0372	+	47.3344i	−1.01402	+	1.65299i
$821$	0.656604	+	0.139566i	0.0229157	+	0.00487087i	0.219355	−	0.975645i	$-0.429605\pi$
$821$	0.656604	+	0.139566i	0.0229157	+	0.00487087i	−0.196440	+	0.980516i	$0.562938\pi$
$822$	1.27185	+	8.78639i	0.0443610	+	0.306460i
$823$	−11.2925	−	1.18689i	−0.393631	−	0.0413723i	−0.0943542	−	0.995539i	$-0.530079\pi$
$823$	−11.2925	−	1.18689i	−0.393631	−	0.0413723i	−0.299277	+	0.954166i	$0.596745\pi$
$824$	−47.7363	−	9.53039i	−1.66297	−	0.332007i
$825$	6.61095	−	12.3096i	0.230164	−	0.428566i
$826$	6.70692	+	0.441180i	0.233364	+	0.0153506i
$827$	−4.28555	+	5.89856i	−0.149023	+	0.205113i	−0.877002	−	0.480487i	$-0.840460\pi$
$827$	−4.28555	+	5.89856i	−0.149023	+	0.205113i	0.727979	+	0.685600i	$0.240460\pi$
$828$	19.4351	−	13.3439i	0.675418	−	0.463734i
$829$	37.1138	+	7.88878i	1.28901	+	0.273989i	0.800904	−	0.598793i	$-0.204353\pi$
$829$	37.1138	+	7.88878i	1.28901	+	0.273989i	0.488111	+	0.872782i	$0.337686\pi$
$830$	27.3641	−	51.9808i	0.949820	−	1.80428i
$831$	−8.48865	+	6.16736i	−0.294468	+	0.213944i
$832$	7.16116	−	27.9413i	0.248268	−	0.968691i
$833$	1.13707	+	0.369458i	0.0393973	+	0.0128009i
$834$	−0.586364	+	3.40763i	−0.0203041	+	0.117997i
$835$	−17.8343	+	30.8899i	−0.617182	+	1.06899i
$836$	−25.5492	+	14.8907i	−0.883637	+	0.515007i
$837$		−	3.45308i		−	0.119356i
$838$	16.5149	+	13.7419i	0.570498	+	0.474705i
$839$	−43.1118	+	9.16369i	−1.48838	+	0.316366i	−0.879119	−	0.476602i	$-0.841868\pi$
$839$	−43.1118	+	9.16369i	−1.48838	+	0.316366i	−0.609264	+	0.792967i	$0.708535\pi$
$840$	1.51974	+	12.9183i	0.0524360	+	0.445725i
$841$	−43.9304	−	19.5591i	−1.51484	−	0.674451i
$842$	21.7475	+	11.4484i	0.749467	+	0.394539i
$843$	0.0373672	−	0.175799i	0.00128699	−	0.00605483i
$844$	−12.8576	+	1.00583i	−0.442577	+	0.0346220i
$845$	41.7023	−	28.5666i	1.43460	−	0.982721i
$846$	26.3102	+	17.5889i	0.904563	+	0.604718i
$847$	−26.0513	+	17.2583i	−0.895133	+	0.593002i
$848$	−9.86462	−	36.9544i	−0.338753	−	1.26902i
$849$	−0.493673	−	0.0518871i	−0.0169428	−	0.00178076i
$850$	−9.89281	−	12.5550i	−0.339321	−	0.430634i
$851$	16.6772	−	18.5219i	0.571686	−	0.634921i
$852$	5.20131	+	0.138651i	0.178194	+	0.00475009i
$853$	13.4018	−	9.73697i	0.458869	−	0.333388i	−0.334219	−	0.942496i	$-0.608472\pi$
$853$	13.4018	−	9.73697i	0.458869	−	0.333388i	0.793087	+	0.609108i	$0.208472\pi$
$854$	8.77910	−	2.22741i	0.300415	−	0.0762203i
$855$	−32.7870	−	36.4137i	−1.12129	−	1.24532i
$856$	−5.06259	−	22.4470i	−0.173036	−	0.767224i
$857$			16.1842i			0.552840i	0.961037	+	0.276420i	$0.0891481\pi$
$857$			16.1842i			0.552840i	−0.961037	+	0.276420i	$0.910852\pi$
$858$	−2.88661	−	6.42179i	−0.0985474	−	0.219236i
$859$		−	27.7608i		−	0.947185i	−0.880744	−	0.473593i	$-0.842957\pi$
$859$		−	27.7608i		−	0.947185i	0.880744	−	0.473593i	$-0.157043\pi$
$860$	−66.0809	+	69.5692i	−2.25334	+	2.37229i
$861$	−5.65114	−	6.27623i	−0.192590	−	0.213893i
$862$	9.87489	+	38.9209i	0.336340	+	1.32565i
$863$	−35.2580	+	25.6164i	−1.20020	+	0.871994i	−0.994304	−	0.106581i	$-0.966010\pi$
$863$	−35.2580	+	25.6164i	−1.20020	+	0.871994i	−0.205892	+	0.978575i	$0.566010\pi$
$864$	3.04425	−	13.3805i	0.103567	−	0.455213i
$865$	26.3753	−	29.2927i	0.896787	−	0.995982i
$866$	1.86663	−	1.47082i	0.0634307	−	0.0499806i
$867$	6.52224	+	0.685515i	0.221507	+	0.0232813i
$868$	1.05944	−	8.01807i	0.0359597	−	0.272151i
$869$	1.22144	+	39.7121i	0.0414347	+	1.34714i
$870$	−11.1712	+	16.7103i	−0.378738	+	0.566532i
$871$	−14.3834	+	3.64112i	−0.487364	+	0.123375i
$872$	34.3235	+	19.2539i	1.16234	+	0.652020i
$873$	1.10517	−	5.19943i	0.0374044	−	0.175974i
$874$	12.2472	−	23.2648i	0.414268	−	0.786944i
$875$	51.6580	+	22.9996i	1.74636	+	0.777529i
$876$	1.70651	+	1.99997i	0.0576576	+	0.0675727i
$877$	−24.7910	+	5.26949i	−0.837132	+	0.177938i	−0.606481	−	0.795098i	$-0.707419\pi$
$877$	−24.7910	+	5.26949i	−0.837132	+	0.177938i	−0.230652	+	0.973036i	$0.574086\pi$
$878$	19.2432	−	23.1264i	0.649427	−	0.780478i
$879$			2.32158i			0.0783048i
$880$	−42.4059	+	29.3718i	−1.42950	+	0.990123i
$881$	14.9605	−	25.9123i	0.504031	−	0.873008i	−0.495958	−	0.868347i	$-0.665183\pi$
$881$	14.9605	−	25.9123i	0.504031	−	0.873008i	0.999989	−	0.00466104i	$-0.00148366\pi$
$882$	4.21698	+	0.725632i	0.141993	+	0.0244333i
$883$	−44.8069	−	14.5587i	−1.50787	−	0.489938i	−0.565571	−	0.824700i	$-0.691344\pi$
$883$	−44.8069	−	14.5587i	−1.50787	−	0.489938i	−0.942303	+	0.334762i	$0.891344\pi$
$884$	−8.05389	+	0.0954291i	−0.270882	+	0.00320963i
$885$	2.19106	−	1.59190i	0.0736517	−	0.0535111i
$886$	−5.01588	−	2.64049i	−0.168512	−	0.0887090i
$887$	1.14929	+	0.244289i	0.0385894	+	0.00820244i	0.227166	−	0.973856i	$-0.427054\pi$
$887$	1.14929	+	0.244289i	0.0385894	+	0.00820244i	−0.188577	+	0.982058i	$0.560387\pi$
$888$	−0.0871554	−	7.03735i	−0.00292474	−	0.236158i
$889$	29.7411	−	40.9351i	0.997484	−	1.37292i
$890$	−2.97657	+	45.2506i	−0.0997749	+	1.51680i
$891$	10.7682	+	22.3130i	0.360747	+	0.747514i
$892$	6.83432	+	16.5215i	0.228830	+	0.553181i
$893$	35.1012	+	3.68929i	1.17462	+	0.123457i
$894$	−3.26528	+	0.472659i	−0.109207	+	0.0158081i
$895$	−8.62485	−	1.83327i	−0.288297	−	0.0612794i
$896$	11.1740	−	30.1356i	0.373298	−	1.00676i
$897$	5.20208	+	3.48173i	0.173693	+	0.116251i
$898$	17.6169	+	4.97296i	0.587884	+	0.165950i
$899$	9.28789	−	8.36286i	0.309769	−	0.278917i
$900$	−41.4779	−	39.3982i	−1.38260	−	1.31327i
$901$	−9.24949	+	5.34020i	−0.308145	+	0.177908i
$902$	11.4563	−	31.4728i	0.381451	−	1.04793i
$903$	−7.29638	−	12.6377i	−0.242808	−	0.420557i
$904$	−26.1881	−	8.15189i	−0.871003	−	0.271128i
$905$	37.8176	+	12.2877i	1.25710	+	0.408456i
$906$	−1.36470	+	0.346249i	−0.0453393	+	0.0115033i
$907$	18.6129	−	1.95630i	0.618032	−	0.0649578i	0.209662	−	0.977774i	$-0.432764\pi$
$907$	18.6129	−	1.95630i	0.618032	−	0.0649578i	0.408371	+	0.912816i	$0.366097\pi$
$908$	−1.44482	−	2.66402i	−0.0479481	−	0.0884086i
$909$	−18.5595	+	6.03033i	−0.615578	+	0.200014i
$910$	49.5260	−	26.8259i	1.64177	−	0.889271i
$911$	8.68183	−	11.9495i	0.287642	−	0.395905i	−0.640605	−	0.767871i	$-0.721316\pi$
$911$	8.68183	−	11.9495i	0.287642	−	0.395905i	0.928246	+	0.371966i	$0.121316\pi$
$912$	−1.91476	−	7.17299i	−0.0634042	−	0.237522i
$913$	−9.90753	+	34.0171i	−0.327892	+	1.12580i
$914$	0.0549526	−	0.835402i	0.00181767	−	0.0276326i
$915$	2.14512	−	2.95250i	0.0709154	−	0.0976066i
$916$	−9.22597	+	6.33444i	−0.304835	+	0.209296i
$917$	47.1458	+	42.4503i	1.55689	+	1.40183i
$918$	−3.82890	+	0.149536i	−0.126372	+	0.00493541i
$919$	20.3054	+	9.04055i	0.669814	+	0.298220i	0.713326	−	0.700833i	$-0.247188\pi$
$919$	20.3054	+	9.04055i	0.669814	+	0.298220i	−0.0435120	+	0.999053i	$0.513855\pi$
$920$	18.1336	−	42.1252i	0.597849	−	1.38883i
$921$	−3.39975	−	3.77580i	−0.112025	−	0.124417i
$922$	−1.72379	−	4.67592i	−0.0567699	−	0.153993i
$923$	−7.78195	−	21.1441i	−0.256146	−	0.695966i
$924$	−2.45488	−	7.45132i	−0.0807595	−	0.245130i
$925$	−52.3765	−	30.2396i	−1.72213	−	0.994272i
$926$	44.7256	+	7.69610i	1.46977	+	0.252909i
$927$	10.1145	+	47.5851i	0.332205	+	1.56290i
$928$	43.3628	−	24.2173i	1.42345	−	0.794973i
$929$	−1.22597	+	2.75356i	−0.0402226	+	0.0903415i	−0.932539	−	0.361068i	$-0.882412\pi$
$929$	−1.22597	+	2.75356i	−0.0402226	+	0.0903415i	0.892317	+	0.451410i	$0.149079\pi$
$930$	−1.73832	−	2.75651i	−0.0570018	−	0.0903894i
$931$	4.53844	−	1.47463i	0.148741	−	0.0483290i
$932$	13.5184	−	9.28158i	0.442810	−	0.304028i
$933$	−6.84673	+	3.04836i	−0.224152	+	0.0997989i
$934$	4.35084	+	8.82787i	0.142364	+	0.288857i
$935$	10.9958	+	9.30476i	0.359601	+	0.304298i
$936$	−28.4782	+	4.46740i	−0.930840	+	0.146022i
$937$	−13.3103	+	18.3200i	−0.434828	+	0.598490i	−0.969053	−	0.246853i	$-0.920604\pi$
$937$	−13.3103	+	18.3200i	−0.434828	+	0.598490i	0.534225	+	0.845342i	$0.320604\pi$
$938$	−16.3621	+	2.36846i	−0.534240	+	0.0773328i
$939$	0.448889	−	2.11186i	0.0146489	−	0.0689178i
$940$	61.5453	+	1.64060i	2.00739	+	0.0535106i
$941$	0.897960	−	0.652406i	0.0292726	−	0.0212678i	−0.573053	−	0.819518i	$-0.694241\pi$
$941$	0.897960	−	0.652406i	0.0292726	−	0.0212678i	0.602325	+	0.798251i	$0.294241\pi$
$942$	0.918816	+	3.62142i	0.0299366	+	0.117992i
$943$	6.19113	+	29.1270i	0.201611	+	0.948505i
$944$	−6.61063	+	1.04064i	−0.215158	+	0.0338701i
$945$	23.2058	−	13.3979i	0.754886	−	0.435833i
$946$	30.6689	−	49.0771i	0.997131	−	1.59563i
$947$	16.1698	−	28.0069i	0.525447	−	0.910101i	−0.474114	−	0.880464i	$-0.657231\pi$
$947$	16.1698	−	28.0069i	0.525447	−	0.910101i	0.999561	−	0.0296375i	$-0.00943529\pi$
$948$	−9.69793	−	2.33309i	−0.314974	−	0.0757754i
$949$	5.30851	−	10.0710i	0.172322	−	0.326918i
$950$	−61.3992	−	17.3320i	−1.99205	−	0.562323i
$951$	−0.322209	−	3.06561i	−0.0104483	−	0.0994093i
$952$	−8.93662	−	0.827522i	−0.289637	−	0.0268201i
$953$	−19.2250	−	17.3103i	−0.622759	−	0.560735i	0.296181	−	0.955132i	$-0.404287\pi$
$953$	−19.2250	−	17.3103i	−0.622759	−	0.560735i	−0.918940	+	0.394397i	$0.870954\pi$
$954$	−30.0240	+	23.6576i	−0.972063	+	0.765942i
$955$	3.77762	−	35.9416i	0.122241	−	1.16304i
$956$	−22.2448	−	17.0857i	−0.719449	−	0.552590i
$957$	4.58821	−	11.2216i	0.148316	−	0.362744i
$958$	−30.0990	−	1.97990i	−0.972453	−	0.0639678i
$959$	39.1328	−	17.4231i	1.26366	−	0.562620i
$960$	−4.30574	−	12.2138i	−0.138967	−	0.394199i
$961$	−8.95337	−	27.5556i	−0.288818	−	0.888891i
$962$	−28.1673	+	11.6341i	−0.908151	+	0.375098i
$963$	−18.6046	+	13.5170i	−0.599525	+	0.435581i
$964$	−4.29675	−	23.2442i	−0.138389	−	0.748646i
$965$	−61.8958	+	55.7312i	−1.99250	+	1.79405i
$966$	5.36164	+	4.46137i	0.172508	+	0.143542i
$967$			4.97072i			0.159848i	0.996801	+	0.0799238i	$0.0254677\pi$
$967$			4.97072i			0.159848i	−0.996801	+	0.0799238i	$0.974532\pi$
$968$	21.5215	−	22.4683i	0.691727	−	0.722159i
$969$	−1.79536	+	1.03655i	−0.0576754	+	0.0332989i
$970$	−3.57685	−	9.70250i	−0.114846	−	0.311528i
$971$	5.99696	+	28.2135i	0.192452	+	0.905413i	0.963307	+	0.268403i	$0.0864959\pi$
$971$	5.99696	+	28.2135i	0.192452	+	0.905413i	−0.770855	+	0.637010i	$0.780171\pi$
$972$	−20.4287	+	3.77630i	−0.655251	+	0.121125i
$973$	16.5921	−	1.74390i	0.531918	−	0.0559069i
$974$	30.1585	−	1.17782i	0.966340	−	0.0377399i
$975$	5.63954	−	14.1040i	0.180610	−	0.451690i
$976$	−8.03865	+	4.08637i	−0.257311	+	0.130801i
$977$	0.415950	+	0.934238i	0.0133074	+	0.0298889i	0.920077	−	0.391738i	$-0.128126\pi$
$977$	0.415950	+	0.934238i	0.0133074	+	0.0298889i	−0.906770	+	0.421627i	$0.861459\pi$
$978$	1.70432	+	3.45807i	0.0544981	+	0.110577i
$979$	−3.69391	−	27.1008i	−0.118058	−	0.866146i
$980$	7.69203	−	3.18190i	0.245713	−	0.101642i
$981$	4.11116	−	39.1151i	0.131259	−	1.24885i
$982$	22.4559	+	8.96510i	0.716595	+	0.286088i
$983$	−11.1418	−	34.2909i	−0.355368	−	1.09371i	−0.955796	−	0.294031i	$-0.905003\pi$
$983$	−11.1418	−	34.2909i	−0.355368	−	1.09371i	0.600428	−	0.799679i	$-0.294997\pi$
$984$	6.86337	+	4.85782i	0.218796	+	0.154862i
$985$	−28.7229	+	3.01890i	−0.915187	+	0.0961900i
$986$	−9.67525	−	9.93660i	−0.308123	−	0.316446i
$987$	−2.89348	+	8.90522i	−0.0921005	+	0.283456i
$988$	−25.7826	+	19.2029i	−0.820253	+	0.610927i
$989$			51.4522i			1.63608i
$990$	43.7182	+	27.3200i	1.38946	+	0.868288i
$991$	34.1814	+	19.7346i	1.08581	+	0.626891i	0.932457	−	0.361281i	$-0.117661\pi$
$991$	34.1814	+	19.7346i	1.08581	+	0.626891i	0.153350	+	0.988172i	$0.450994\pi$
$992$	0.727374	+	8.01949i	0.0230941	+	0.254619i
$993$	11.8602	+	3.85363i	0.376373	+	0.122291i
$994$	−6.17402	−	24.3343i	−0.195828	−	0.771836i
$995$	−55.2570	−	24.6020i	−1.75176	−	0.779935i
$996$	−7.58205	−	4.65120i	−0.240246	−	0.147379i
$997$	−2.38896	−	2.15103i	−0.0756592	−	0.0681238i	0.630434	−	0.776243i	$-0.282877\pi$
$997$	−2.38896	−	2.15103i	−0.0756592	−	0.0681238i	−0.706093	+	0.708119i	$0.749544\pi$
$998$	1.22226	+	8.44379i	0.0386900	+	0.267283i
$999$	−13.2449	+	5.89701i	−0.419050	+	0.186573i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bn.a.95.5	✓	640
4.3	odd	2	inner	572.2.bn.a.95.27	yes	640
11.8	odd	10	inner	572.2.bn.a.459.53	yes	640
13.10	even	6	inner	572.2.bn.a.491.24	yes	640
44.19	even	10	inner	572.2.bn.a.459.24	yes	640
52.23	odd	6	inner	572.2.bn.a.491.53	yes	640
143.140	odd	30	inner	572.2.bn.a.283.27	yes	640
572.283	even	30	inner	572.2.bn.a.283.5	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bn.a.95.5	✓	640	1.1	even	1	trivial
572.2.bn.a.95.27	yes	640	4.3	odd	2	inner
572.2.bn.a.283.5	yes	640	572.283	even	30	inner
572.2.bn.a.283.27	yes	640	143.140	odd	30	inner
572.2.bn.a.459.24	yes	640	44.19	even	10	inner
572.2.bn.a.459.53	yes	640	11.8	odd	10	inner
572.2.bn.a.491.24	yes	640	13.10	even	6	inner
572.2.bn.a.491.53	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)

\(f(q)\)	\(=\)	\(q+(-1.39373 - 0.239824i) q^{2} +(0.309391 - 0.278577i) q^{3} +(1.88497 + 0.668501i) q^{4} +(-2.28550 - 3.14573i) q^{5} +(-0.498018 + 0.314062i) q^{6} +(2.11116 + 1.90090i) q^{7} +(-2.46682 - 1.38377i) q^{8} +(-0.295468 + 2.81119i) q^{9} +O(q^{10})\)	\(q+(-1.39373 - 0.239824i) q^{2} +(0.309391 - 0.278577i) q^{3} +(1.88497 + 0.668501i) q^{4} +(-2.28550 - 3.14573i) q^{5} +(-0.498018 + 0.314062i) q^{6} +(2.11116 + 1.90090i) q^{7} +(-2.46682 - 1.38377i) q^{8} +(-0.295468 + 2.81119i) q^{9} +(2.43096 + 4.93242i) q^{10} +(-2.03103 - 2.62201i) q^{11} +(0.769422 - 0.318281i) q^{12} +(-2.51393 - 2.58460i) q^{13} +(-2.48651 - 3.15565i) q^{14} +(-1.58344 - 0.336571i) q^{15} +(3.10621 + 2.52021i) q^{16} +(0.454305 - 1.02039i) q^{17} +(1.08599 - 3.84718i) q^{18} +(-0.926897 - 4.36071i) q^{19} +(-2.20518 - 7.45746i) q^{20} +1.18272 q^{21} +(2.20189 + 4.14146i) q^{22} +(-3.61143 - 2.08506i) q^{23} +(-1.14870 + 0.259072i) q^{24} +(-3.12698 + 9.62387i) q^{25} +(2.88389 + 4.20514i) q^{26} +(1.42585 + 1.96252i) q^{27} +(2.70872 + 4.99444i) q^{28} +(-1.82546 + 8.58810i) q^{29} +(2.12618 + 0.848838i) q^{30} +(-1.15162 - 0.836700i) q^{31} +(-3.72482 - 4.25743i) q^{32} +(-1.35881 - 0.245427i) q^{33} +(-0.877892 + 1.31319i) q^{34} +(1.15464 - 10.9856i) q^{35} +(-2.43623 + 5.10148i) q^{36} +(-1.24263 + 5.84611i) q^{37} +(0.246041 + 6.29994i) q^{38} +(-1.49780 - 0.0993309i) q^{39} +(1.28495 + 10.9225i) q^{40} +(-4.77808 - 5.30660i) q^{41} +(-1.64839 - 0.283645i) q^{42} +(-6.16915 - 10.6853i) q^{43} +(-2.07562 - 6.30014i) q^{44} +(9.51852 - 5.49552i) q^{45} +(4.53331 + 3.77212i) q^{46} +(-2.44646 + 7.52943i) q^{47} +(1.66311 - 0.0855902i) q^{48} +(0.111888 + 1.06454i) q^{49} +(6.66621 - 12.6631i) q^{50} +(-0.143698 - 0.442258i) q^{51} +(-3.01086 - 6.55246i) q^{52} +(-7.73589 - 5.62045i) q^{53} +(-1.51659 - 3.07717i) q^{54} +(-3.60618 + 12.3817i) q^{55} +(-2.57743 - 7.61052i) q^{56} +(-1.50157 - 1.09095i) q^{57} +(4.60383 - 11.5317i) q^{58} +(-1.11946 + 1.24329i) q^{59} +(-2.75974 - 1.69296i) q^{60} +(-0.916953 + 2.05951i) q^{61} +(1.40438 + 1.44232i) q^{62} +(-5.96756 + 5.37321i) q^{63} +(4.17035 + 6.82702i) q^{64} +(-2.38486 + 13.8153i) q^{65} +(1.83496 + 0.667936i) q^{66} +(2.05754 - 3.56377i) q^{67} +(1.53848 - 1.61969i) q^{68} +(-1.69820 + 0.360963i) q^{69} +(-4.24388 + 15.0341i) q^{70} +(5.70864 + 2.54165i) q^{71} +(4.61890 - 6.52582i) q^{72} +(0.975711 + 3.00293i) q^{73} +(3.13393 - 7.84989i) q^{74} +(1.71353 + 3.84865i) q^{75} +(1.16796 - 8.83943i) q^{76} +(0.696330 - 9.39625i) q^{77} +(2.06371 + 0.497649i) q^{78} +(-9.69146 - 7.04126i) q^{79} +(0.828617 - 15.5312i) q^{80} +(-7.30685 - 1.55312i) q^{81} +(5.38671 + 8.54187i) q^{82} +(-6.27914 - 8.64249i) q^{83} +(2.22939 + 0.790650i) q^{84} +(-4.24817 + 0.902977i) q^{85} +(6.03554 + 16.3719i) q^{86} +(1.82767 + 3.16562i) q^{87} +(1.38192 + 9.27849i) q^{88} +(7.14190 + 4.12338i) q^{89} +(-14.5842 + 5.37650i) q^{90} +(-0.394239 - 10.2352i) q^{91} +(-5.41357 - 6.34451i) q^{92} +(-0.589386 + 0.0619470i) q^{93} +(5.21544 - 9.90727i) q^{94} +(-11.5992 + 12.8822i) q^{95} +(-2.33845 - 0.279564i) q^{96} +(-1.87021 - 0.196567i) q^{97} +(0.0993614 - 1.51052i) q^{98} +(7.97105 - 4.93489i) 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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