LMFDB - Embedded newform 354.2.e.d.25.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [354,2,Mod(7,354)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(354, base_ring=CyclotomicField(58))

chi = DirichletCharacter(H, H._module([0, 18]))

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

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

chi := DirichletCharacter("354.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 354 = 2 \cdot 3 \cdot 59 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	354.e (of order $29$, degree $28$, 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:	$2.82670423155$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$3$ over $\Q(\zeta_{29})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label			25.1
Character	$\chi$	$=$	354.25
Dual form			354.2.e.d.85.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.796093 - 0.605174i) q^{2} +(0.468408 + 0.883512i) q^{3} +(0.267528 + 0.963550i) q^{4} +(-3.02590 - 2.86629i) q^{5} +(0.161782 - 0.986827i) q^{6} +(-1.62278 + 1.91048i) q^{7} +(0.370138 - 0.928977i) q^{8} +(-0.561187 + 0.827689i) q^{9} +O(q^{10})$	\(q+(-0.796093 - 0.605174i) q^{2} +(0.468408 + 0.883512i) q^{3} +(0.267528 + 0.963550i) q^{4} +(-3.02590 - 2.86629i) q^{5} +(0.161782 - 0.986827i) q^{6} +(-1.62278 + 1.91048i) q^{7} +(0.370138 - 0.928977i) q^{8} +(-0.561187 + 0.827689i) q^{9} +(0.674297 + 4.11303i) q^{10} +(3.11053 + 1.87154i) q^{11} +(-0.725995 + 0.687699i) q^{12} +(3.61193 + 5.32720i) q^{13} +(2.44805 - 0.538857i) q^{14} +(1.11504 - 4.01601i) q^{15} +(-0.856857 + 0.515554i) q^{16} +(3.81810 + 4.49502i) q^{17} +(0.947653 - 0.319302i) q^{18} +(-0.970631 + 0.449062i) q^{19} +(1.95230 - 3.68242i) q^{20} +(-2.44805 - 0.538857i) q^{21} +(-1.34366 - 3.37233i) q^{22} +(-1.75298 - 0.590648i) q^{23} +(0.994138 - 0.108119i) q^{24} +(0.669789 + 12.3535i) q^{25} +(0.348450 - 6.42679i) q^{26} +(-0.994138 - 0.108119i) q^{27} +(-2.27498 - 1.05252i) q^{28} +(-6.09650 + 4.63444i) q^{29} +(-3.31806 + 2.52233i) q^{30} +(-5.96618 - 2.76025i) q^{31} +(0.994138 + 0.108119i) q^{32} +(-0.196533 + 3.62483i) q^{33} +(-0.319296 - 5.88907i) q^{34} +(10.3863 - 1.12958i) q^{35} +(-0.947653 - 0.319302i) q^{36} +(-1.52259 - 3.82142i) q^{37} +(1.04447 + 0.229906i) q^{38} +(-3.01478 + 5.68649i) q^{39} +(-3.78271 + 1.75007i) q^{40} +(-0.166547 + 0.0561162i) q^{41} +(1.62278 + 1.91048i) q^{42} +(9.23919 - 5.55904i) q^{43} +(-0.971170 + 3.49784i) q^{44} +(4.07049 - 0.895983i) q^{45} +(1.03809 + 1.53107i) q^{46} +(1.80147 - 1.70645i) q^{47} +(-0.856857 - 0.515554i) q^{48} +(0.115944 + 0.707224i) q^{49} +(6.94282 - 10.2399i) q^{50} +(-2.18297 + 5.47885i) q^{51} +(-4.16673 + 4.90545i) q^{52} +(-0.260988 + 1.59195i) q^{53} +(0.725995 + 0.687699i) q^{54} +(-4.04777 - 14.5788i) q^{55} +(1.17414 + 2.21466i) q^{56} +(-0.851403 - 0.647220i) q^{57} +7.65802 q^{58} +(-7.43587 - 1.92558i) q^{59} +4.16793 q^{60} +(10.4052 + 7.90986i) q^{61} +(3.07920 + 5.80799i) q^{62} +(-0.670602 - 2.41529i) q^{63} +(-0.725995 - 0.687699i) q^{64} +(4.33993 - 26.4724i) q^{65} +(2.35011 - 2.76677i) q^{66} +(-2.17915 + 5.46925i) q^{67} +(-3.30973 + 4.88148i) q^{68} +(-0.299266 - 1.82544i) q^{69} +(-8.95209 - 5.38629i) q^{70} +(-0.0417927 + 0.0395881i) q^{71} +(0.561187 + 0.827689i) q^{72} +(3.91559 - 0.861887i) q^{73} +(-1.10050 + 3.96364i) q^{74} +(-10.6008 + 6.37826i) q^{75} +(-0.692365 - 0.815115i) q^{76} +(-8.62323 + 2.90550i) q^{77} +(5.84136 - 2.70250i) q^{78} +(-5.34251 + 10.0771i) q^{79} +(4.07049 + 0.895983i) q^{80} +(-0.370138 - 0.928977i) q^{81} +(0.166547 + 0.0561162i) q^{82} +(4.18682 - 0.455344i) q^{83} +(-0.135708 - 2.50298i) q^{84} +(1.33081 - 24.5453i) q^{85} +(-10.7194 - 1.16581i) q^{86} +(-6.95023 - 3.21552i) q^{87} +(2.88994 - 2.19688i) q^{88} +(-0.511794 + 0.389056i) q^{89} +(-3.78271 - 1.75007i) q^{90} +(-16.0388 - 1.74433i) q^{91} +(0.100147 - 1.84710i) q^{92} +(-0.355896 - 6.56411i) q^{93} +(-2.46684 + 0.268285i) q^{94} +(4.22417 + 1.42329i) q^{95} +(0.370138 + 0.928977i) q^{96} +(4.40015 + 0.968547i) q^{97} +(0.335692 - 0.633182i) q^{98} +(-3.29464 + 1.52426i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9} + 2 q^{10} + 30 q^{11} - 3 q^{12} - 3 q^{13} + 7 q^{14} - 2 q^{15} - 3 q^{16} + 3 q^{17} + 3 q^{18} - 4 q^{19} - 2 q^{20} - 7 q^{21} - q^{22} + 2 q^{23} + 3 q^{24} - 67 q^{25} + 32 q^{26} - 3 q^{27} - 7 q^{28} + 4 q^{29} + 2 q^{30} - 6 q^{31} + 3 q^{32} + q^{33} + 26 q^{34} + 79 q^{35} - 3 q^{36} + 55 q^{37} + 4 q^{38} - 3 q^{39} + 2 q^{40} + q^{41} + 7 q^{42} + 51 q^{43} + q^{44} - 2 q^{45} - 31 q^{46} - 62 q^{47} - 3 q^{48} - 70 q^{49} + 9 q^{50} + 3 q^{51} - 32 q^{52} - 27 q^{53} + 3 q^{54} - 83 q^{55} + 7 q^{56} - 4 q^{57} - 120 q^{58} - 55 q^{59} + 56 q^{60} - 46 q^{61} - 23 q^{62} - 7 q^{63} - 3 q^{64} - 121 q^{65} - q^{66} + 8 q^{67} - 26 q^{68} - 27 q^{69} - 50 q^{70} - 61 q^{71} + 3 q^{72} + 49 q^{73} - 26 q^{74} - 9 q^{75} + 25 q^{76} + 77 q^{77} + 3 q^{78} - 5 q^{79} - 2 q^{80} - 3 q^{81} - q^{82} + 75 q^{83} - 7 q^{84} + 189 q^{85} + 65 q^{86} - 25 q^{87} - 30 q^{88} + 54 q^{89} + 2 q^{90} - 161 q^{91} + 2 q^{92} + 23 q^{93} + 33 q^{94} - 54 q^{95} + 3 q^{96} + 28 q^{97} + 12 q^{98} + q^{99}+O(q^{100}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9 + 2 * q^10 + 30 * q^11 - 3 * q^12 - 3 * q^13 + 7 * q^14 - 2 * q^15 - 3 * q^16 + 3 * q^17 + 3 * q^18 - 4 * q^19 - 2 * q^20 - 7 * q^21 - q^22 + 2 * q^23 + 3 * q^24 - 67 * q^25 + 32 * q^26 - 3 * q^27 - 7 * q^28 + 4 * q^29 + 2 * q^30 - 6 * q^31 + 3 * q^32 + q^33 + 26 * q^34 + 79 * q^35 - 3 * q^36 + 55 * q^37 + 4 * q^38 - 3 * q^39 + 2 * q^40 + q^41 + 7 * q^42 + 51 * q^43 + q^44 - 2 * q^45 - 31 * q^46 - 62 * q^47 - 3 * q^48 - 70 * q^49 + 9 * q^50 + 3 * q^51 - 32 * q^52 - 27 * q^53 + 3 * q^54 - 83 * q^55 + 7 * q^56 - 4 * q^57 - 120 * q^58 - 55 * q^59 + 56 * q^60 - 46 * q^61 - 23 * q^62 - 7 * q^63 - 3 * q^64 - 121 * q^65 - q^66 + 8 * q^67 - 26 * q^68 - 27 * q^69 - 50 * q^70 - 61 * q^71 + 3 * q^72 + 49 * q^73 - 26 * q^74 - 9 * q^75 + 25 * q^76 + 77 * q^77 + 3 * q^78 - 5 * q^79 - 2 * q^80 - 3 * q^81 - q^82 + 75 * q^83 - 7 * q^84 + 189 * q^85 + 65 * q^86 - 25 * q^87 - 30 * q^88 + 54 * q^89 + 2 * q^90 - 161 * q^91 + 2 * q^92 + 23 * q^93 + 33 * q^94 - 54 * q^95 + 3 * q^96 + 28 * q^97 + 12 * q^98 + q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/354\mathbb{Z}\right)^\times$.

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{6}{29}\right)$	$1$

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 $

$2$	−0.796093	−	0.605174i	−0.562923	−	0.427923i
$2$	−0.796093	−	0.605174i	−0.562923	−	0.427923i
$3$	0.468408	+	0.883512i	0.270436	+	0.510096i
$3$	0.468408	+	0.883512i	0.270436	+	0.510096i
$4$	0.267528	+	0.963550i	0.133764	+	0.481775i
$5$	−3.02590	−	2.86629i	−1.35322	−	1.28184i	−0.925913	−	0.377738i	$-0.876702\pi$
$5$	−3.02590	−	2.86629i	−1.35322	−	1.28184i	−0.427312	−	0.904104i	$-0.640539\pi$
$6$	0.161782	−	0.986827i	0.0660472	−	0.402870i
$7$	−1.62278	+	1.91048i	−0.613352	+	0.722093i	−0.977896	−	0.209093i	$-0.932949\pi$
$7$	−1.62278	+	1.91048i	−0.613352	+	0.722093i	0.364544	+	0.931186i	$0.381225\pi$
$8$	0.370138	−	0.928977i	0.130864	−	0.328443i
$9$	−0.561187	+	0.827689i	−0.187062	+	0.275896i
$10$	0.674297	+	4.11303i	0.213231	+	1.30065i
$11$	3.11053	+	1.87154i	0.937859	+	0.564291i	0.900426	−	0.435008i	$-0.143255\pi$
$11$	3.11053	+	1.87154i	0.937859	+	0.564291i	0.0374324	+	0.999299i	$0.488082\pi$
$12$	−0.725995	+	0.687699i	−0.209577	+	0.198522i
$13$	3.61193	+	5.32720i	1.00177	+	1.47750i	0.874139	+	0.485676i	$0.161427\pi$
$13$	3.61193	+	5.32720i	1.00177	+	1.47750i	0.127630	+	0.991822i	$0.459263\pi$
$14$	2.44805	−	0.538857i	0.654270	−	0.144016i
$15$	1.11504	−	4.01601i	0.287902	−	1.03693i
$16$	−0.856857	+	0.515554i	−0.214214	+	0.128888i
$17$	3.81810	+	4.49502i	0.926026	+	1.09020i	0.995700	+	0.0926327i	$0.0295282\pi$
$17$	3.81810	+	4.49502i	0.926026	+	1.09020i	−0.0696740	+	0.997570i	$0.522196\pi$
$18$	0.947653	−	0.319302i	0.223364	−	0.0752601i
$19$	−0.970631	+	0.449062i	−0.222678	+	0.103022i	−0.528057	−	0.849209i	$-0.677079\pi$
$19$	−0.970631	+	0.449062i	−0.222678	+	0.103022i	0.305378	+	0.952231i	$0.401217\pi$
$20$	1.95230	−	3.68242i	0.436547	−	0.823414i
$21$	−2.44805	−	0.538857i	−0.534209	−	0.117588i
$22$	−1.34366	−	3.37233i	−0.286469	−	0.718983i
$23$	−1.75298	−	0.590648i	−0.365522	−	0.123159i	0.130546	−	0.991442i	$-0.458327\pi$
$23$	−1.75298	−	0.590648i	−0.365522	−	0.123159i	−0.496068	+	0.868284i	$0.665223\pi$
$24$	0.994138	−	0.108119i	0.202928	−	0.0220697i
$25$	0.669789	+	12.3535i	0.133958	+	2.47071i
$26$	0.348450	−	6.42679i	0.0683367	−	1.26040i
$27$	−0.994138	−	0.108119i	−0.191322	−	0.0208075i
$28$	−2.27498	−	1.05252i	−0.429931	−	0.198907i
$29$	−6.09650	+	4.63444i	−1.13209	+	0.860593i	−0.991581	−	0.129486i	$-0.958667\pi$
$29$	−6.09650	+	4.63444i	−1.13209	+	0.860593i	−0.140510	+	0.990079i	$0.544874\pi$
$30$	−3.31806	+	2.52233i	−0.605793	+	0.460512i
$31$	−5.96618	−	2.76025i	−1.07156	−	0.495755i	−0.196863	−	0.980431i	$-0.563076\pi$
$31$	−5.96618	−	2.76025i	−1.07156	−	0.495755i	−0.874694	+	0.484676i	$0.838938\pi$
$32$	0.994138	+	0.108119i	0.175740	+	0.0191129i
$33$	−0.196533	+	3.62483i	−0.0342120	+	0.631002i
$34$	−0.319296	−	5.88907i	−0.0547589	−	1.00997i
$35$	10.3863	−	1.12958i	1.75561	−	0.190934i
$36$	−0.947653	−	0.319302i	−0.157942	−	0.0532169i
$37$	−1.52259	−	3.82142i	−0.250313	−	0.628237i	0.749102	−	0.662455i	$-0.230485\pi$
$37$	−1.52259	−	3.82142i	−0.250313	−	0.628237i	−0.999414	+	0.0342177i	$0.989106\pi$
$38$	1.04447	+	0.229906i	0.169436	+	0.0372957i
$39$	−3.01478	+	5.68649i	−0.482752	+	0.910566i
$40$	−3.78271	+	1.75007i	−0.598100	+	0.276710i
$41$	−0.166547	+	0.0561162i	−0.0260102	+	0.00876387i	−0.332277	−	0.943182i	$-0.607817\pi$
$41$	−0.166547	+	0.0561162i	−0.0260102	+	0.00876387i	0.306266	+	0.951946i	$0.400920\pi$
$42$	1.62278	+	1.91048i	0.250400	+	0.294793i
$43$	9.23919	−	5.55904i	1.40896	−	0.847745i	0.411007	−	0.911632i	$-0.365177\pi$
$43$	9.23919	−	5.55904i	1.40896	−	0.847745i	0.997957	+	0.0638869i	$0.0203497\pi$
$44$	−0.971170	+	3.49784i	−0.146409	+	0.527319i
$45$	4.07049	−	0.895983i	0.606793	−	0.133565i
$46$	1.03809	+	1.53107i	0.153058	+	0.225744i
$47$	1.80147	−	1.70645i	0.262772	−	0.248911i	−0.544958	−	0.838463i	$-0.683454\pi$
$47$	1.80147	−	1.70645i	0.262772	−	0.248911i	0.807730	+	0.589552i	$0.200696\pi$
$48$	−0.856857	−	0.515554i	−0.123677	−	0.0744138i
$49$	0.115944	+	0.707224i	0.0165634	+	0.101032i
$50$	6.94282	−	10.2399i	0.981864	−	1.44814i
$51$	−2.18297	+	5.47885i	−0.305677	+	0.767192i
$52$	−4.16673	+	4.90545i	−0.577821	+	0.680263i
$53$	−0.260988	+	1.59195i	−0.0358494	+	0.218672i	−0.998676	−	0.0514501i	$-0.983616\pi$
$53$	−0.260988	+	1.59195i	−0.0358494	+	0.218672i	0.962826	+	0.270122i	$0.0870640\pi$
$54$	0.725995	+	0.687699i	0.0987955	+	0.0935840i
$55$	−4.04777	−	14.5788i	−0.545801	−	1.96580i
$56$	1.17414	+	2.21466i	0.156901	+	0.295947i
$57$	−0.851403	−	0.647220i	−0.112771	−	0.0857264i
$58$	7.65802			1.00555
$59$	−7.43587	−	1.92558i	−0.968068	−	0.250690i
$59$	−7.43587	−	1.92558i	−0.968068	−	0.250690i
$60$	4.16793			0.538078
$61$	10.4052	+	7.90986i	1.33226	+	1.01275i	0.997516	+	0.0704438i	$0.0224415\pi$
$61$	10.4052	+	7.90986i	1.33226	+	1.01275i	0.334740	+	0.942311i	$0.391352\pi$
$62$	3.07920	+	5.80799i	0.391059	+	0.737616i
$63$	−0.670602	−	2.41529i	−0.0844879	−	0.304298i
$64$	−0.725995	−	0.687699i	−0.0907494	−	0.0859624i
$65$	4.33993	−	26.4724i	0.538302	−	3.28350i
$66$	2.35011	−	2.76677i	0.289279	−	0.340566i
$67$	−2.17915	+	5.46925i	−0.266226	+	0.668176i	−0.999936	−	0.0112862i	$-0.996407\pi$
$67$	−2.17915	+	5.46925i	−0.266226	+	0.668176i	0.733711	+	0.679462i	$0.237787\pi$
$68$	−3.30973	+	4.88148i	−0.401363	+	0.591966i
$69$	−0.299266	−	1.82544i	−0.0360274	−	0.219758i
$70$	−8.95209	−	5.38629i	−1.06998	−	0.643785i
$71$	−0.0417927	+	0.0395881i	−0.00495988	+	0.00469824i	−0.690175	−	0.723642i	$-0.742467\pi$
$71$	−0.0417927	+	0.0395881i	−0.00495988	+	0.00469824i	0.685216	+	0.728340i	$0.259708\pi$
$72$	0.561187	+	0.827689i	0.0661365	+	0.0975441i
$73$	3.91559	−	0.861887i	0.458285	−	0.100876i	0.0201731	−	0.999797i	$-0.493578\pi$
$73$	3.91559	−	0.861887i	0.458285	−	0.100876i	0.438112	+	0.898920i	$0.355647\pi$
$74$	−1.10050	+	3.96364i	−0.127930	+	0.460763i
$75$	−10.6008	+	6.37826i	−1.22407	+	0.736499i
$76$	−0.692365	−	0.815115i	−0.0794197	−	0.0935001i
$77$	−8.62323	+	2.90550i	−0.982708	+	0.331113i
$78$	5.84136	−	2.70250i	0.661404	−	0.305998i
$79$	−5.34251	+	10.0771i	−0.601080	+	1.13376i	0.377134	+	0.926159i	$0.376910\pi$
$79$	−5.34251	+	10.0771i	−0.601080	+	1.13376i	−0.978214	+	0.207598i	$0.933435\pi$
$80$	4.07049	+	0.895983i	0.455095	+	0.100174i
$81$	−0.370138	−	0.928977i	−0.0411265	−	0.103220i
$82$	0.166547	+	0.0561162i	0.0183920	+	0.00619699i
$83$	4.18682	−	0.455344i	0.459563	−	0.0499805i	0.124590	−	0.992208i	$-0.460238\pi$
$83$	4.18682	−	0.455344i	0.459563	−	0.0499805i	0.334973	+	0.942228i	$0.391273\pi$
$84$	−0.135708	−	2.50298i	−0.0148069	−	0.273098i
$85$	1.33081	−	24.5453i	0.144346	−	2.66231i
$86$	−10.7194	−	1.16581i	−1.15591	−	0.125713i
$87$	−6.95023	−	3.21552i	−0.745143	−	0.344740i
$88$	2.88994	−	2.19688i	0.308069	−	0.234188i
$89$	−0.511794	+	0.389056i	−0.0542501	+	0.0412398i	−0.631948	−	0.775011i	$-0.717744\pi$
$89$	−0.511794	+	0.389056i	−0.0542501	+	0.0412398i	0.577698	+	0.816251i	$0.303951\pi$
$90$	−3.78271	−	1.75007i	−0.398733	−	0.184474i
$91$	−16.0388	−	1.74433i	−1.68133	−	0.182855i
$92$	0.100147	−	1.84710i	0.0104410	−	0.192573i
$93$	−0.355896	−	6.56411i	−0.0369047	−	0.680667i
$94$	−2.46684	+	0.268285i	−0.254435	+	0.0276715i
$95$	4.22417	+	1.42329i	0.433391	+	0.146026i
$96$	0.370138	+	0.928977i	0.0377771	+	0.0948133i
$97$	4.40015	+	0.968547i	0.446768	+	0.0983410i	0.432655	−	0.901559i	$-0.357577\pi$
$97$	4.40015	+	0.968547i	0.446768	+	0.0983410i	0.0141124	+	0.999900i	$0.495508\pi$
$98$	0.335692	−	0.633182i	0.0339100	−	0.0639611i
$99$	−3.29464	+	1.52426i	−0.331124	+	0.153194i
$100$	−11.7241	+	3.95029i	−1.17241	+	0.395029i
$101$	2.87168	+	3.38081i	0.285743	+	0.336403i	0.886242	−	0.463223i	$-0.153307\pi$
$101$	2.87168	+	3.38081i	0.285743	+	0.336403i	−0.600499	+	0.799626i	$0.705031\pi$
$102$	5.05351	−	3.04059i	0.500372	−	0.301064i
$103$	2.79347	−	10.0612i	0.275248	−	0.991355i	−0.688652	−	0.725092i	$-0.741797\pi$
$103$	2.79347	−	10.0612i	0.275248	−	0.991355i	0.963900	−	0.266263i	$-0.0857890\pi$
$104$	6.28575	−	1.38360i	0.616369	−	0.135673i
$105$	5.86305	+	8.64735i	0.572175	+	0.843895i
$106$	1.17118	−	1.10940i	0.113755	−	0.107754i
$107$	−7.91781	−	4.76399i	−0.765444	−	0.460552i	0.0785466	−	0.996910i	$-0.474972\pi$
$107$	−7.91781	−	4.76399i	−0.765444	−	0.460552i	−0.843990	+	0.536358i	$0.819800\pi$
$108$	−0.161782	−	0.986827i	−0.0155675	−	0.0949574i
$109$	−7.81557	+	11.5271i	−0.748596	+	1.10410i	0.242397	+	0.970177i	$0.422066\pi$
$109$	−7.81557	+	11.5271i	−0.748596	+	1.10410i	−0.990992	+	0.133919i	$0.957244\pi$
$110$	−5.60028	+	14.0557i	−0.533966	+	1.34015i
$111$	2.66307	−	3.13521i	0.252768	−	0.297581i
$112$	0.405532	−	2.47364i	0.0383192	−	0.233737i
$113$	−13.7807	−	13.0538i	−1.29638	−	1.22800i	−0.957926	−	0.287014i	$-0.907337\pi$
$113$	−13.7807	−	13.0538i	−1.29638	−	1.22800i	−0.338454	−	0.940983i	$-0.609904\pi$
$114$	0.286115	+	1.03049i	0.0267972	+	0.0965147i
$115$	3.61138	+	6.81179i	0.336763	+	0.635202i
$116$	−6.09650	−	4.63444i	−0.566046	−	0.430297i
$117$	−6.43623			−0.595030
$118$	4.75433	+	6.03294i	0.437672	+	0.555377i
$119$	−14.7836			−1.35521
$120$	−3.31806	−	2.52233i	−0.302896	−	0.230256i
$121$	1.02021	+	1.92432i	0.0927465	+	0.174938i
$122$	−3.49670	−	12.5940i	−0.316576	−	1.14021i
$123$	−0.127591	−	0.120861i	−0.0115045	−	0.0108977i
$124$	1.06352	−	6.48716i	0.0955065	−	0.582564i
$125$	19.8907	−	23.4172i	1.77908	−	2.09449i
$126$	−0.927810	+	2.32863i	−0.0826559	+	0.207451i
$127$	−3.91506	+	5.77428i	−0.347405	+	0.512385i	−0.960744	−	0.277435i	$-0.910516\pi$
$127$	−3.91506	+	5.77428i	−0.347405	+	0.512385i	0.613339	+	0.789820i	$0.289826\pi$
$128$	0.161782	+	0.986827i	0.0142996	+	0.0872240i
$129$	9.23919	+	5.55904i	0.813466	+	0.489446i
$130$	−19.4754	+	18.4481i	−1.70810	+	1.61800i
$131$	4.27804	+	6.30964i	0.373774	+	0.551276i	0.967331	−	0.253516i	$-0.0815871\pi$
$131$	4.27804	+	6.30964i	0.373774	+	0.551276i	−0.593557	+	0.804792i	$0.702277\pi$
$132$	−3.54529	+	0.780376i	−0.308578	+	0.0679230i
$133$	0.717194	−	2.58310i	0.0621886	−	0.223983i
$134$	5.04466	−	3.03527i	0.435792	−	0.262207i
$135$	2.69826	+	3.17664i	0.232230	+	0.273402i
$136$	5.58900	−	1.88315i	0.479252	−	0.161479i
$137$	−0.277860	+	0.128552i	−0.0237391	+	0.0109829i	−0.431723	−	0.902006i	$-0.642094\pi$
$137$	−0.277860	+	0.128552i	−0.0237391	+	0.0109829i	0.407984	+	0.912989i	$0.366232\pi$
$138$	−0.866468	+	1.63433i	−0.0737586	+	0.139124i
$139$	13.2397	+	2.91428i	1.12298	+	0.247186i	0.737378	−	0.675481i	$-0.236064\pi$
$139$	13.2397	+	2.91428i	1.12298	+	0.247186i	0.385599	+	0.922667i	$0.373995\pi$
$140$	3.86705	+	9.70556i	0.326825	+	0.820270i
$141$	2.35149	+	0.792310i	0.198031	+	0.0667245i
$142$	0.0572286	−	0.00622398i	0.00480251	−	0.000522305i
$143$	1.26493	+	23.3303i	0.105779	+	1.95097i
$144$	0.0541389	−	0.998533i	0.00451158	−	0.0832111i
$145$	31.7310	+	3.45096i	2.63512	+	0.286586i
$146$	−3.63877	−	1.68347i	−0.301147	−	0.139325i
$147$	−0.570532	+	0.433707i	−0.0470567	+	0.0357716i
$148$	3.27479	−	2.48943i	0.269186	−	0.204630i
$149$	12.4226	+	5.74731i	1.01770	+	0.470838i	0.856535	−	0.516090i	$-0.172613\pi$
$149$	12.4226	+	5.74731i	1.01770	+	0.470838i	0.161165	+	0.986927i	$0.448475\pi$
$150$	12.2992	+	1.33761i	1.00422	+	0.109216i
$151$	0.880515	−	16.2401i	0.0716553	−	1.32160i	−0.712778	−	0.701390i	$-0.752563\pi$
$151$	0.880515	−	16.2401i	0.0716553	−	1.32160i	0.784433	−	0.620214i	$-0.212954\pi$
$152$	0.0579003	+	1.06791i	0.00469634	+	0.0866188i
$153$	−5.86315	+	0.637656i	−0.474008	+	0.0515514i
$154$	8.62323	+	2.90550i	0.694880	+	0.234132i
$155$	10.1414	+	25.4530i	0.814577	+	2.04444i
$156$	−6.28575	−	1.38360i	−0.503263	−	0.110777i
$157$	10.1586	−	19.1612i	0.810747	−	1.52923i	−0.0372965	−	0.999304i	$-0.511875\pi$
$157$	10.1586	−	19.1612i	0.810747	−	1.52923i	0.848043	−	0.529927i	$-0.177781\pi$
$158$	10.3515	−	4.78912i	0.823522	−	0.381002i
$159$	−1.52876	+	0.515099i	−0.121238	+	0.0408500i
$160$	−2.69826	−	3.17664i	−0.213316	−	0.251136i
$161$	3.97312	−	2.39054i	0.313125	−	0.188401i
$162$	−0.267528	+	0.963550i	−0.0210190	+	0.0757036i
$163$	12.0540	−	2.65328i	0.944141	−	0.207821i	0.283882	−	0.958859i	$-0.408377\pi$
$163$	12.0540	−	2.65328i	0.944141	−	0.207821i	0.660259	+	0.751038i	$0.270446\pi$
$164$	−0.0986267	−	0.145464i	−0.00770145	−	0.0113588i
$165$	10.9845	−	10.4051i	0.855142	−	0.810033i
$166$	−3.60866	−	2.17126i	−0.280086	−	0.168522i
$167$	−1.37843	−	8.40803i	−0.106666	−	0.650633i	−0.984996	−	0.172578i	$-0.944790\pi$
$167$	−1.37843	−	8.40803i	−0.106666	−	0.650633i	0.878330	−	0.478055i	$-0.158658\pi$
$168$	−1.40670	+	2.07473i	−0.108530	+	0.160069i
$169$	−10.5212	+	26.4062i	−0.809322	+	2.03125i
$170$	−15.9136	+	18.7349i	−1.22052	+	1.43690i
$171$	0.173022	−	1.05539i	0.0132313	−	0.0807076i
$172$	7.82816	+	7.41523i	0.596891	+	0.565406i
$173$	3.66661	+	13.2059i	0.278767	+	1.00403i	0.961825	+	0.273664i	$0.0882356\pi$
$173$	3.66661	+	13.2059i	0.278767	+	1.00403i	−0.683059	+	0.730364i	$0.739351\pi$
$174$	3.58708	+	6.76595i	0.271936	+	0.512926i
$175$	−24.6881	−	18.7674i	−1.86624	−	1.41868i
$176$	−3.63016			−0.273633
$177$	−1.78175	−	7.47164i	−0.133924	−	0.561603i
$178$	0.642882			0.0481861
$179$	−1.05579	−	0.802589i	−0.0789132	−	0.0599883i	0.564974	−	0.825109i	$-0.308886\pi$
$179$	−1.05579	−	0.802589i	−0.0789132	−	0.0599883i	−0.643887	+	0.765121i	$0.722679\pi$
$180$	1.95230	+	3.68242i	0.145516	+	0.274471i
$181$	−1.41329	−	5.09020i	−0.105049	−	0.378352i	0.892272	−	0.451497i	$-0.149110\pi$
$181$	−1.41329	−	5.09020i	−0.105049	−	0.378352i	−0.997321	+	0.0731457i	$0.976696\pi$
$182$	11.7128	+	11.0949i	0.868210	+	0.822412i
$183$	−2.11455	+	12.8982i	−0.156312	+	0.953463i
$184$	−1.19754	+	1.40986i	−0.0882841	+	0.103936i
$185$	−6.34606	+	15.9274i	−0.466572	+	1.17101i
$186$	−3.68911	+	5.44103i	−0.270498	+	0.398955i
$187$	3.46370	+	21.1276i	0.253291	+	1.54500i
$188$	2.12619	+	1.27929i	0.155069	+	0.0933016i
$189$	1.81982	−	1.72383i	0.132373	−	0.125390i
$190$	−2.50150	−	3.68943i	−0.181478	−	0.267660i
$191$	−2.18033	+	0.479927i	−0.157763	+	0.0347263i	−0.293150	−	0.956067i	$-0.594703\pi$
$191$	−2.18033	+	0.479927i	−0.157763	+	0.0347263i	0.135386	+	0.990793i	$0.456772\pi$
$192$	0.267528	−	0.963550i	0.0193072	−	0.0695382i
$193$	7.01355	−	4.21991i	0.504846	−	0.303756i	−0.240252	−	0.970711i	$-0.577230\pi$
$193$	7.01355	−	4.21991i	0.504846	−	0.303756i	0.745098	+	0.666955i	$0.232402\pi$
$194$	−2.91679	−	3.43391i	−0.209413	−	0.246541i
$195$	25.4215	−	8.56551i	1.82047	−	0.613389i
$196$	−0.650428	+	0.300920i	−0.0464591	+	0.0214943i
$197$	−7.59626	+	14.3281i	−0.541211	+	1.02083i	0.450552	+	0.892750i	$0.351227\pi$
$197$	−7.59626	+	14.3281i	−0.541211	+	1.02083i	−0.991764	+	0.128082i	$0.959118\pi$
$198$	3.54529	+	0.780376i	0.251952	+	0.0554589i
$199$	−3.83656	−	9.62903i	−0.271966	−	0.682584i	0.728029	−	0.685546i	$-0.240436\pi$
$199$	−3.83656	−	9.62903i	−0.271966	−	0.682584i	−0.999996	+	0.00296207i	$0.999057\pi$
$200$	11.7241	+	3.95029i	0.829016	+	0.279328i
$201$	−5.85288	+	0.636539i	−0.412831	+	0.0448980i
$202$	−0.240150	−	4.42931i	−0.0168969	−	0.311645i
$203$	1.03925	−	19.1679i	0.0729412	−	1.34532i
$204$	−5.86315	−	0.637656i	−0.410503	−	0.0446448i
$205$	0.664799	+	0.307569i	0.0464316	+	0.0214815i
$206$	−8.31261	+	6.31908i	−0.579167	+	0.440271i
$207$	1.47262	−	1.11946i	0.102354	−	0.0778078i
$208$	−5.84136	−	2.70250i	−0.405026	−	0.187385i
$209$	−3.85961	−	0.419758i	−0.266975	−	0.0290353i
$210$	0.565621	−	10.4323i	0.0390315	−	0.719895i
$211$	−0.125285	−	2.31074i	−0.00862496	−	0.159078i	−0.999673	−	0.0255722i	$-0.991859\pi$
$211$	−0.125285	−	2.31074i	−0.00862496	−	0.159078i	0.991048	−	0.133506i	$-0.0426235\pi$
$212$	−1.60375	+	0.174418i	−0.110146	+	0.0119791i
$213$	−0.0545526	−	0.0183809i	−0.00373788	−	0.00125944i
$214$	3.42027	+	8.58424i	0.233805	+	0.586806i
$215$	−43.8907	−	9.66107i	−2.99332	−	0.658880i
$216$	−0.468408	+	0.883512i	−0.0318712	+	0.0601154i
$217$	14.9552	−	6.91900i	1.01522	−	0.469692i
$218$	13.1978	−	4.44686i	0.893869	−	0.301180i
$219$	2.59558	+	3.05576i	0.175393	+	0.206489i
$220$	12.9645	−	7.80046i	0.874064	−	0.525907i
$221$	−10.1551	+	36.5755i	−0.683108	+	2.46033i
$222$	−4.01740	+	0.884298i	−0.269631	+	0.0593502i
$223$	−8.52211	−	12.5692i	−0.570683	−	0.841694i	0.427370	−	0.904077i	$-0.359440\pi$
$223$	−8.52211	−	12.5692i	−0.570683	−	0.841694i	−0.998052	+	0.0623829i	$0.980130\pi$
$224$	−1.81982	+	1.72383i	−0.121592	+	0.115178i
$225$	−10.6008	−	6.37826i	−0.706717	−	0.425218i
$226$	3.07092	+	18.7318i	0.204274	+	1.24602i
$227$	−10.3418	+	15.2531i	−0.686412	+	1.01238i	0.311653	+	0.950196i	$0.399117\pi$
$227$	−10.3418	+	15.2531i	−0.686412	+	1.01238i	−0.998065	+	0.0621856i	$0.980193\pi$
$228$	0.395854	−	0.993519i	0.0262161	−	0.0657974i
$229$	8.99314	−	10.5875i	0.594284	−	0.699645i	−0.379996	−	0.924988i	$-0.624075\pi$
$229$	8.99314	−	10.5875i	0.594284	−	0.699645i	0.974279	+	0.225344i	$0.0723504\pi$
$230$	1.24732	−	7.60833i	0.0822460	−	0.501678i
$231$	−6.60624	−	6.25776i	−0.434659	−	0.411731i
$232$	2.04874	+	7.37889i	0.134506	+	0.484448i
$233$	−1.67311	−	3.15583i	−0.109609	−	0.206745i	0.822639	−	0.568564i	$-0.192501\pi$
$233$	−1.67311	−	3.15583i	−0.109609	−	0.206745i	−0.932248	+	0.361819i	$0.882156\pi$
$234$	5.12384	+	3.89504i	0.334956	+	0.254627i
$235$	−10.3422			−0.674654
$236$	−0.133910	−	7.67998i	−0.00871678	−	0.499924i
$237$	−11.4057			−0.740878
$238$	11.7691	+	8.94664i	0.762877	+	0.579924i
$239$	−9.63558	−	18.1746i	−0.623274	−	1.17562i	−0.971238	−	0.238111i	$-0.923472\pi$
$239$	−9.63558	−	18.1746i	−0.623274	−	1.17562i	0.347964	−	0.937508i	$-0.386873\pi$
$240$	1.11504	+	4.01601i	0.0719756	+	0.259233i
$241$	−10.9781	−	10.3991i	−0.707164	−	0.669862i	0.247044	−	0.969004i	$-0.420541\pi$
$241$	−10.9781	−	10.3991i	−0.707164	−	0.669862i	−0.954208	+	0.299143i	$0.903299\pi$
$242$	0.352367	−	2.14935i	0.0226510	−	0.138165i
$243$	0.647386	−	0.762162i	0.0415298	−	0.0488927i
$244$	−4.83785	+	12.1421i	−0.309712	+	0.777318i
$245$	1.67627	−	2.47232i	0.107093	−	0.157951i
$246$	0.0284326	+	0.173431i	0.00181280	+	0.0110576i
$247$	−5.89809	−	3.54876i	−0.375286	−	0.225802i
$248$	−4.77252	+	4.52077i	−0.303055	+	0.287069i
$249$	2.36344	+	3.48582i	0.149777	+	0.220905i
$250$	−30.0063	+	6.60489i	−1.89777	+	0.417730i
$251$	0.433353	−	1.56080i	0.0273530	−	0.0985166i	−0.948614	−	0.316437i	$-0.897513\pi$
$251$	0.433353	−	1.56080i	0.0273530	−	0.0985166i	0.975967	+	0.217920i	$0.0699273\pi$
$252$	2.14785	−	1.29232i	0.135302	−	0.0814083i
$253$	−4.34727	−	5.11800i	−0.273310	−	0.321766i
$254$	6.61120	−	2.22757i	0.414823	−	0.139770i
$255$	22.3094	−	10.3214i	1.39707	−	0.646353i
$256$	0.468408	−	0.883512i	0.0292755	−	0.0552195i
$257$	17.7757	+	3.91272i	1.10881	+	0.244069i	0.731382	−	0.681968i	$-0.238876\pi$
$257$	17.7757	+	3.91272i	1.10881	+	0.244069i	0.377433	+	0.926037i	$0.376807\pi$
$258$	−3.99107	−	10.0168i	−0.248473	−	0.623621i
$259$	9.77157	+	3.29242i	0.607176	+	0.204581i
$260$	26.6685	−	2.90038i	1.65391	−	0.179874i
$261$	−0.414597	−	7.64679i	−0.0256629	−	0.473324i
$262$	0.412712	−	7.61202i	0.0254974	−	0.470272i
$263$	25.8256	+	2.80870i	1.59248	+	0.173192i	0.860974	−	0.508648i	$-0.169855\pi$
$263$	25.8256	+	2.80870i	1.59248	+	0.173192i	0.731501	+	0.681840i	$0.238820\pi$
$264$	3.29464	+	1.52426i	0.202771	+	0.0938119i
$265$	5.35272	−	4.06903i	0.328815	−	0.249958i
$266$	−2.13418	+	1.62236i	−0.130855	+	0.0994732i
$267$	−0.583464	−	0.269939i	−0.0357074	−	0.0165200i
$268$	−5.85288	−	0.636539i	−0.357522	−	0.0388828i
$269$	−0.155315	+	2.86461i	−0.00946970	+	0.174658i	0.989972	+	0.141261i	$0.0451156\pi$
$269$	−0.155315	+	2.86461i	−0.00946970	+	0.174658i	−0.999442	+	0.0333977i	$0.989367\pi$
$270$	−0.225647	−	4.16182i	−0.0137325	−	0.253280i
$271$	18.4546	−	2.00706i	1.12104	−	0.121920i	0.471223	−	0.882014i	$-0.343813\pi$
$271$	18.4546	−	2.00706i	1.12104	−	0.121920i	0.649813	+	0.760094i	$0.274847\pi$
$272$	−5.58900	−	1.88315i	−0.338883	−	0.114183i
$273$	−5.97160	−	14.9876i	−0.361417	−	0.907089i
$274$	0.298998	+	0.0658145i	0.0180631	+	0.00397600i
$275$	−21.0367	+	39.6795i	−1.26856	+	2.39276i
$276$	1.67884	−	0.776716i	0.101055	−	0.0467528i
$277$	1.92126	−	0.647348i	0.115437	−	0.0388954i	−0.260990	−	0.965341i	$-0.584049\pi$
$277$	1.92126	−	0.647348i	0.115437	−	0.0388954i	0.376427	+	0.926446i	$0.377152\pi$
$278$	−8.77639	−	10.3324i	−0.526373	−	0.619694i
$279$	5.63277	−	3.38912i	0.337225	−	0.202902i
$280$	2.79503	−	10.0668i	0.167035	−	0.601605i
$281$	16.9414	−	3.72909i	1.01064	−	0.222459i	0.321363	−	0.946956i	$-0.395859\pi$
$281$	16.9414	−	3.72909i	1.01064	−	0.222459i	0.689278	+	0.724497i	$0.257928\pi$
$282$	−1.39252	−	2.05381i	−0.0829234	−	0.122303i
$283$	−11.1239	+	10.5371i	−0.661245	+	0.626364i	−0.942870	−	0.333160i	$-0.891885\pi$
$283$	−11.1239	+	10.5371i	−0.661245	+	0.626364i	0.281625	+	0.959524i	$0.409126\pi$
$284$	−0.0493258	−	0.0296784i	−0.00292695	−	0.00176109i
$285$	0.721145	+	4.39879i	0.0427169	+	0.260562i
$286$	13.1119	−	19.3386i	0.775321	−	1.14351i
$287$	0.163059	−	0.409248i	0.00962509	−	0.0241572i
$288$	−0.647386	+	0.762162i	−0.0381476	+	0.0449108i
$289$	−2.87699	+	17.5489i	−0.169235	+	1.03229i
$290$	−23.1724	−	21.9501i	−1.36073	−	1.28895i
$291$	1.20535	+	4.34126i	0.0706586	+	0.254489i
$292$	1.87800	+	3.54229i	0.109902	+	0.207297i
$293$	−6.68332	−	5.08053i	−0.390444	−	0.296808i	0.391474	−	0.920189i	$-0.371965\pi$
$293$	−6.68332	−	5.08053i	−0.390444	−	0.296808i	−0.781918	+	0.623382i	$0.785758\pi$
$294$	0.716665			0.0417968
$295$	16.9809	+	27.1399i	0.988668	+	1.58015i
$296$	−4.11358			−0.239097
$297$	−2.88994	−	2.19688i	−0.167691	−	0.127476i
$298$	−6.41143	−	12.0932i	−0.371404	−	0.700542i
$299$	−3.18514	−	11.4718i	−0.184202	−	0.663434i
$300$	−8.98178	−	8.50799i	−0.518563	−	0.491209i
$301$	−4.37271	+	26.6724i	−0.252039	+	1.53737i
$302$	−10.5291	+	12.3958i	−0.605881	+	0.713298i
$303$	−1.64186	+	4.12077i	−0.0943226	+	0.236732i
$304$	0.600177	−	0.885194i	0.0344225	−	0.0507694i
$305$	−8.81332	−	53.7589i	−0.504649	−	3.07822i
$306$	5.05351	+	3.04059i	0.288890	+	0.173819i
$307$	20.3543	−	19.2806i	1.16168	−	1.10040i	0.168274	−	0.985740i	$-0.446181\pi$
$307$	20.3543	−	19.2806i	1.16168	−	1.10040i	0.993405	−	0.114660i	$-0.0365780\pi$
$308$	−5.10656	−	7.53161i	−0.290973	−	0.429153i
$309$	10.1976	−	2.24467i	0.580123	−	0.127695i
$310$	7.33000	−	26.4003i	0.416316	−	1.49944i
$311$	−0.208431	+	0.125409i	−0.0118190	+	0.00711127i	−0.521451	−	0.853281i	$-0.674609\pi$
$311$	−0.208431	+	0.125409i	−0.0118190	+	0.00711127i	0.509632	+	0.860392i	$0.329782\pi$
$312$	4.16673	+	4.90545i	0.235894	+	0.277716i
$313$	11.1204	−	3.74691i	0.628564	−	0.211788i	0.0130511	−	0.999915i	$-0.495846\pi$
$313$	11.1204	−	3.74691i	0.628564	−	0.211788i	0.615513	+	0.788127i	$0.288949\pi$
$314$	−19.6831	+	9.10636i	−1.11078	+	0.513902i
$315$	−4.89374	+	9.23057i	−0.275731	+	0.520084i
$316$	−11.1390	−	2.45188i	−0.626619	−	0.137929i
$317$	11.8115	+	29.6445i	0.663397	+	1.66500i	0.743936	+	0.668250i	$0.232957\pi$
$317$	11.8115	+	29.6445i	0.663397	+	1.66500i	−0.0805389	+	0.996751i	$0.525664\pi$
$318$	1.52876	+	0.515099i	0.0857285	+	0.0288853i
$319$	−27.6369	+	3.00569i	−1.54737	+	0.168286i
$320$	0.225647	+	4.16182i	0.0126141	+	0.232653i
$321$	0.500272	−	9.22698i	0.0279225	−	0.515000i
$322$	−4.60967	−	0.501331i	−0.256887	−	0.0279381i
$323$	−5.72451	−	2.64844i	−0.318520	−	0.147363i
$324$	0.796093	−	0.605174i	0.0442274	−	0.0336208i
$325$	−63.3904	+	48.1882i	−3.51627	+	2.67300i
$326$	−11.2018	−	5.18250i	−0.620410	−	0.287032i
$327$	−13.8452	−	1.50576i	−0.765642	−	0.0832686i
$328$	−0.00951473	+	0.175489i	−0.000525363	+	0.00968975i
$329$	0.336743	+	6.21086i	0.0185652	+	0.342416i
$330$	−15.0416	+	1.63587i	−0.828011	+	0.0900516i
$331$	5.78489	+	1.94916i	0.317966	+	0.107135i	0.473759	−	0.880654i	$-0.342897\pi$
$331$	5.78489	+	1.94916i	0.317966	+	0.107135i	−0.155793	+	0.987790i	$0.549793\pi$
$332$	1.55884	+	3.91239i	0.0855524	+	0.214720i
$333$	4.01740	+	0.884298i	0.220152	+	0.0484592i
$334$	−3.99096	+	7.52776i	−0.218376	+	0.411901i
$335$	22.2703	−	10.3034i	1.21676	−	0.562932i
$336$	2.37544	−	0.800380i	0.129591	−	0.0436643i
$337$	−8.02430	−	9.44694i	−0.437112	−	0.514607i	0.498860	−	0.866682i	$-0.333752\pi$
$337$	−8.02430	−	9.44694i	−0.437112	−	0.514607i	−0.935972	+	0.352075i	$0.885476\pi$
$338$	24.3562	−	14.6546i	1.32480	−	0.797107i
$339$	5.07817	−	18.2899i	0.275809	−	0.993373i
$340$	24.0066	−	5.28426i	1.30194	−	0.286579i
$341$	−13.3920	−	19.7518i	−0.725219	−	1.06962i
$342$	−0.776436	+	0.735479i	−0.0419848	+	0.0397701i
$343$	−16.5742	−	9.97238i	−0.894924	−	0.538458i
$344$	−1.74444	−	10.6406i	−0.0940539	−	0.573703i
$345$	−4.32669	+	6.38140i	−0.232941	+	0.343563i
$346$	5.07292	−	12.7321i	0.272722	−	0.684481i
$347$	−3.33564	+	3.92701i	−0.179066	+	0.210813i	−0.844371	−	0.535759i	$-0.820026\pi$
$347$	−3.33564	+	3.92701i	−0.179066	+	0.210813i	0.665305	+	0.746572i	$0.268302\pi$
$348$	1.23893	−	7.55714i	0.0664136	−	0.405105i
$349$	−1.79099	−	1.69652i	−0.0958697	−	0.0908126i	0.638264	−	0.769818i	$-0.279653\pi$
$349$	−1.79099	−	1.69652i	−0.0958697	−	0.0908126i	−0.734134	+	0.679005i	$0.762411\pi$
$350$	8.29647	+	29.8812i	0.443465	+	1.59722i
$351$	−3.01478	−	5.68649i	−0.160917	−	0.303522i
$352$	2.88994	+	2.19688i	0.154034	+	0.117094i
$353$	18.6606			0.993203			0.496601	−	0.867979i	$-0.334581\pi$
$353$	18.6606			0.993203			0.496601	+	0.867979i	$0.334581\pi$
$354$	−3.10321	+	7.02639i	−0.164934	+	0.373448i
$355$	0.239931			0.0127342
$356$	−0.511794	−	0.389056i	−0.0271250	−	0.0206199i
$357$	−6.92475	−	13.0615i	−0.366497	−	0.691286i
$358$	0.354799	+	1.27787i	0.0187517	+	0.0675375i
$359$	1.55417	+	1.47219i	0.0820261	+	0.0776992i	0.727614	−	0.685986i	$-0.240629\pi$
$359$	1.55417	+	1.47219i	0.0820261	+	0.0776992i	−0.645588	+	0.763686i	$0.723388\pi$
$360$	0.674297	−	4.11303i	0.0355386	−	0.216776i
$361$	−11.5599	+	13.6093i	−0.608414	+	0.716281i
$362$	−1.95535	+	4.90756i	−0.102771	+	0.257936i
$363$	−1.22229	+	1.80274i	−0.0641534	+	0.0946192i
$364$	−2.61010	−	15.9209i	−0.136806	−	0.834481i
$365$	−14.3186	−	8.61522i	−0.749470	−	0.450941i
$366$	9.48905	−	8.98850i	0.496000	−	0.469837i
$367$	19.2331	+	28.3667i	1.00396	+	1.48073i	0.872018	+	0.489473i	$0.162811\pi$
$367$	19.2331	+	28.3667i	1.00396	+	1.48073i	0.131942	+	0.991257i	$0.457879\pi$
$368$	1.80656	−	0.397655i	0.0941737	−	0.0207292i
$369$	0.0470172	−	0.169341i	0.00244762	−	0.00881552i
$370$	14.6909	−	8.83923i	0.763744	−	0.459530i
$371$	−2.61787	−	3.08200i	−0.135913	−	0.160009i
$372$	6.22964	−	2.09901i	0.322992	−	0.108829i
$373$	18.3587	−	8.49365i	0.950578	−	0.439784i	0.117582	−	0.993063i	$-0.462486\pi$
$373$	18.3587	−	8.49365i	0.950578	−	0.439784i	0.832996	+	0.553279i	$0.186624\pi$
$374$	10.0285	−	18.9157i	0.518560	−	0.978107i
$375$	30.0063	+	6.60489i	1.54952	+	0.341075i
$376$	−0.918455	−	2.30515i	−0.0473657	−	0.118879i
$377$	−46.7087	−	15.7380i	−2.40562	−	0.810547i
$378$	−2.49196	+	0.271017i	−0.128173	+	0.0139396i
$379$	0.789983	+	14.5704i	0.0405787	+	0.748430i	0.946050	+	0.324022i	$0.105035\pi$
$379$	0.789983	+	14.5704i	0.0405787	+	0.748430i	−0.905471	+	0.424408i	$0.860482\pi$
$380$	−0.241325	+	4.45097i	−0.0123797	+	0.228330i
$381$	−6.93549	−	0.754280i	−0.355316	−	0.0386430i
$382$	2.02619	+	0.937413i	0.103669	+	0.0479622i
$383$	29.2270	−	22.2178i	1.49343	−	1.13528i	0.536898	−	0.843647i	$-0.319596\pi$
$383$	29.2270	−	22.2178i	1.49343	−	1.13528i	0.956531	−	0.291629i	$-0.0941973\pi$
$384$	−0.796093	+	0.605174i	−0.0406255	+	0.0308827i
$385$	34.4210	+	15.9249i	1.75426	+	0.811607i
$386$	−8.13722	−	0.884976i	−0.414174	−	0.0450441i
$387$	−0.583761	+	10.7668i	−0.0296742	+	0.547309i
$388$	0.243922	+	4.49888i	0.0123833	+	0.228396i
$389$	20.3315	−	2.21119i	1.03085	−	0.112112i	0.422972	−	0.906143i	$-0.360987\pi$
$389$	20.3315	−	2.21119i	1.03085	−	0.112112i	0.607877	+	0.794031i	$0.292021\pi$
$390$	−25.4215	−	8.56551i	−1.28727	−	0.433732i
$391$	−4.03809	−	10.1348i	−0.204215	−	0.512541i
$392$	0.699910	+	0.154062i	0.0353508	+	0.00778130i
$393$	−3.57077	+	6.73519i	−0.180122	+	0.339745i
$394$	14.7183	−	6.80941i	0.741497	−	0.343053i
$395$	45.0496	−	15.1790i	2.26669	−	0.763738i
$396$	−2.35011	−	2.76677i	−0.118098	−	0.139035i
$397$	−2.20025	+	1.32385i	−0.110428	+	0.0664421i	−0.569696	−	0.821855i	$-0.692939\pi$
$397$	−2.20025	+	1.32385i	−0.110428	+	0.0664421i	0.459269	+	0.888297i	$0.348112\pi$
$398$	−2.77299	+	9.98739i	−0.138997	+	0.500623i
$399$	2.61814	−	0.576296i	0.131071	−	0.0288509i
$400$	−6.94282	−	10.2399i	−0.347141	−	0.511995i
$401$	4.55149	−	4.31140i	0.227291	−	0.215301i	−0.565576	−	0.824696i	$-0.691346\pi$
$401$	4.55149	−	4.31140i	0.227291	−	0.215301i	0.792867	+	0.609395i	$0.208588\pi$
$402$	5.04466	+	3.03527i	0.251605	+	0.151385i
$403$	−6.84503	−	41.7528i	−0.340975	−	2.07986i
$404$	−2.48932	+	3.67147i	−0.123848	+	0.182663i
$405$	−1.54271	+	3.87191i	−0.0766579	+	0.192397i
$406$	−12.4273	+	14.6305i	−0.616754	+	0.726099i
$407$	2.41588	−	14.7362i	0.119751	−	0.730447i
$408$	4.28172	+	4.05586i	0.211977	+	0.200795i
$409$	−0.0566114	−	0.203896i	−0.00279925	−	0.0100820i	0.962137	−	0.272566i	$-0.0878722\pi$
$409$	−0.0566114	−	0.203896i	−0.00279925	−	0.0100820i	−0.964936	+	0.262484i	$0.915458\pi$
$410$	−0.343109	−	0.647173i	−0.0169450	−	0.0319616i
$411$	−0.243729	−	0.185278i	−0.0120222	−	0.00913907i
$412$	10.4418			0.514429
$413$	15.7455	−	11.0813i	0.774787	−	0.545274i
$414$	−1.84981			−0.0909133
$415$	−13.9740	−	10.6228i	−0.685959	−	0.521452i
$416$	3.01478	+	5.68649i	0.147812	+	0.278803i
$417$	3.62679	+	13.0625i	0.177605	+	0.639674i
$418$	2.81858	+	2.66990i	0.137861	+	0.130589i
$419$	−1.60800	+	9.80834i	−0.0785557	+	0.479169i	0.918024	+	0.396526i	$0.129784\pi$
$419$	−1.60800	+	9.80834i	−0.0785557	+	0.479169i	−0.996579	+	0.0826428i	$0.973664\pi$
$420$	−6.76362	+	7.96275i	−0.330031	+	0.388543i
$421$	−8.19178	+	20.5598i	−0.399243	+	1.00202i	0.582673	+	0.812707i	$0.302007\pi$
$421$	−8.19178	+	20.5598i	−0.399243	+	1.00202i	−0.981916	+	0.189318i	$0.939372\pi$
$422$	−1.29866	+	1.91539i	−0.0632179	+	0.0932395i
$423$	0.401443	+	2.44870i	0.0195188	+	0.119060i
$424$	1.38229	+	0.831694i	0.0671298	+	0.0403906i
$425$	−52.9720	+	50.1778i	−2.56952	+	2.43398i
$426$	0.0323053	+	0.0476467i	0.00156520	+	0.00230849i
$427$	−31.9970	+	7.04308i	−1.54844	+	0.340838i
$428$	2.47210	−	8.90371i	0.119494	−	0.430377i
$429$	−20.0201	+	12.0457i	−0.966577	+	0.581570i
$430$	29.0944	+	34.2526i	1.40306	+	1.65181i
$431$	−22.5499	+	7.59795i	−1.08619	+	0.365980i	−0.804760	−	0.593601i	$-0.797706\pi$
$431$	−22.5499	+	7.59795i	−1.08619	+	0.365980i	−0.281431	+	0.959581i	$0.590809\pi$
$432$	0.907575	−	0.419889i	0.0436657	−	0.0202019i
$433$	0.282877	−	0.533563i	0.0135942	−	0.0256414i	−0.876622	−	0.481180i	$-0.840208\pi$
$433$	0.282877	−	0.533563i	0.0135942	−	0.0256414i	0.890216	+	0.455538i	$0.150553\pi$
$434$	−16.0929	−	3.54232i	−0.772484	−	0.170037i
$435$	11.8141	+	29.6512i	0.566444	+	1.42167i
$436$	−13.1978	−	4.44686i	−0.632061	−	0.212966i
$437$	1.96673	−	0.213895i	0.0940817	−	0.0102320i
$438$	−0.217061	−	4.00345i	−0.0103716	−	0.191292i
$439$	1.38582	−	25.5599i	0.0661415	−	1.21991i	−0.757515	−	0.652818i	$-0.773587\pi$
$439$	1.38582	−	25.5599i	0.0661415	−	1.21991i	0.823656	−	0.567090i	$-0.191931\pi$
$440$	−15.0416	−	1.63587i	−0.717078	−	0.0779870i
$441$	−0.650428	−	0.300920i	−0.0309727	−	0.0143295i
$442$	30.2190	−	22.9719i	1.43737	−	1.09266i
$443$	6.94105	−	5.27645i	0.329779	−	0.250692i	−0.427161	−	0.904175i	$-0.640486\pi$
$443$	6.94105	−	5.27645i	0.329779	−	0.250692i	0.756940	+	0.653484i	$0.226693\pi$
$444$	3.73338	+	1.72725i	0.177178	+	0.0819715i
$445$	2.66378	+	0.289704i	0.126275	+	0.0137333i
$446$	−0.822146	+	15.1636i	−0.0389297	+	0.718017i
$447$	0.741036	+	13.6676i	0.0350498	+	0.646456i
$448$	2.49196	−	0.271017i	0.117734	−	0.0128044i
$449$	1.71277	+	0.577101i	0.0808308	+	0.0272351i	0.359426	−	0.933173i	$-0.382972\pi$
$449$	1.71277	+	0.577101i	0.0808308	+	0.0272351i	−0.278596	+	0.960408i	$0.589869\pi$
$450$	4.57923	+	11.4930i	0.215867	+	0.541785i
$451$	−0.623072	−	0.137148i	−0.0293393	−	0.00645807i
$452$	8.89124	−	16.7707i	0.418209	−	0.788826i
$453$	14.7608	−	6.82907i	0.693523	−	0.320858i
$454$	17.4638	−	5.88425i	0.819618	−	0.276161i
$455$	43.5322	+	51.2501i	2.04082	+	2.40264i
$456$	−0.916389	+	0.551373i	−0.0429139	+	0.0258204i
$457$	−3.79595	+	13.6718i	−0.177567	+	0.639538i	0.820159	+	0.572136i	$0.193885\pi$
$457$	−3.79595	+	13.6718i	−0.177567	+	0.639538i	−0.997726	+	0.0674024i	$0.978529\pi$
$458$	−13.5667	+	2.98625i	−0.633930	+	0.139538i
$459$	−3.30973	−	4.88148i	−0.154485	−	0.227848i
$460$	−5.59735	+	5.30209i	−0.260978	+	0.247211i
$461$	4.94342	+	2.97436i	0.230238	+	0.138530i	0.625999	−	0.779824i	$-0.284691\pi$
$461$	4.94342	+	2.97436i	0.230238	+	0.138530i	−0.395761	+	0.918354i	$0.629519\pi$
$462$	1.47215	+	8.97969i	0.0684904	+	0.417773i
$463$	6.17599	−	9.10890i	0.287022	−	0.423326i	−0.656656	−	0.754190i	$-0.728030\pi$
$463$	6.17599	−	9.10890i	0.287022	−	0.423326i	0.943679	+	0.330864i	$0.107340\pi$
$464$	2.83453	−	7.11412i	0.131590	−	0.330265i
$465$	−17.7377	+	20.8825i	−0.822567	+	0.968401i
$466$	−0.577871	+	3.52486i	−0.0267693	+	0.163286i
$467$	5.08355	+	4.81539i	0.235239	+	0.222830i	0.796233	−	0.604989i	$-0.206823\pi$
$467$	5.08355	+	4.81539i	0.235239	+	0.222830i	−0.560995	+	0.827819i	$0.689581\pi$
$468$	−1.72187	−	6.20163i	−0.0795936	−	0.286670i
$469$	−6.91263	−	13.0386i	−0.319195	−	0.602066i
$470$	8.23339	+	6.25886i	0.379778	+	0.288700i
$471$	21.6875			0.999309
$472$	−4.54112	+	6.19502i	−0.209022	+	0.285149i
$473$	39.1427			1.79978
$474$	9.07998	+	6.90242i	0.417057	+	0.317039i
$475$	−6.19762	−	11.6899i	−0.284366	−	0.536371i
$476$	−3.95502	−	14.2447i	−0.181278	−	0.652905i
$477$	−1.17118	−	1.10940i	−0.0536246	−	0.0507959i
$478$	−3.32800	+	20.2999i	−0.152219	+	0.928496i
$479$	3.25653	−	3.83388i	0.148795	−	0.175175i	−0.682715	−	0.730685i	$-0.739201\pi$
$479$	3.25653	−	3.83388i	0.148795	−	0.175175i	0.831510	+	0.555510i	$0.187477\pi$
$480$	1.54271	−	3.87191i	0.0704148	−	0.176728i
$481$	14.8579	−	21.9138i	0.677464	−	0.999185i
$482$	2.44639	+	14.9223i	0.111430	+	0.679692i
$483$	3.97312	+	2.39054i	0.180783	+	0.108774i
$484$	−1.58125	+	1.49784i	−0.0718748	+	0.0680834i
$485$	−10.5383	−	15.5428i	−0.478519	−	0.705763i
$486$	−0.976621	+	0.214970i	−0.0443004	+	0.00975126i
$487$	8.58354	−	30.9151i	0.388957	−	1.40090i	−0.467186	−	0.884159i	$-0.654732\pi$
$487$	8.58354	−	30.9151i	0.388957	−	1.40090i	0.856144	−	0.516738i	$-0.172854\pi$
$488$	11.1995	−	6.73849i	0.506976	−	0.305037i
$489$	7.99040	+	9.40703i	0.361338	+	0.425400i
$490$	−2.83065	+	0.953758i	−0.127876	+	0.0430864i
$491$	−37.7931	+	17.4849i	−1.70558	+	0.789085i	−0.709112	+	0.705096i	$0.750904\pi$
$491$	−37.7931	+	17.4849i	−1.70558	+	0.789085i	−0.996467	+	0.0839887i	$0.973234\pi$
$492$	0.0823212	−	0.155274i	0.00371133	−	0.00700030i
$493$	−44.1090	−	9.70911i	−1.98657	−	0.437277i
$494$	2.54781	+	6.39452i	0.114631	+	0.287703i
$495$	14.3382	+	4.83111i	0.644456	+	0.217142i
$496$	6.53522	−	0.710748i	0.293440	−	0.0319135i
$497$	−0.00781215	−	0.144087i	−0.000350423	−	0.00646317i
$498$	0.228006	−	4.20533i	0.0102172	−	0.188445i
$499$	−38.1033	−	4.14399i	−1.70574	−	0.185510i	−0.797316	−	0.603562i	$-0.793748\pi$
$499$	−38.1033	−	4.14399i	−1.70574	−	0.185510i	−0.908423	+	0.418051i	$0.862713\pi$
$500$	27.8849	+	12.9009i	1.24705	+	0.576948i
$501$	6.78293	−	5.15625i	0.303039	−	0.230364i
$502$	−1.28954	+	0.980286i	−0.0575551	+	0.0437523i
$503$	27.4623	+	12.7054i	1.22448	+	0.566506i	0.922201	−	0.386712i	$-0.126389\pi$
$503$	27.4623	+	12.7054i	1.22448	+	0.566506i	0.302283	+	0.953218i	$0.402251\pi$
$504$	−2.49196	−	0.271017i	−0.111001	−	0.0120721i
$505$	1.00093	−	18.4611i	0.0445408	−	0.821507i
$506$	0.363549	+	6.70526i	0.0161617	+	0.298085i
$507$	−28.2584	+	3.07329i	−1.25500	+	0.136489i
$508$	−6.61120	−	2.22757i	−0.293325	−	0.0988325i
$509$	−4.95523	−	12.4367i	−0.219637	−	0.551247i	0.777328	−	0.629095i	$-0.216574\pi$
$509$	−4.95523	−	12.4367i	−0.219637	−	0.551247i	−0.996965	+	0.0778481i	$0.975195\pi$
$510$	−24.0066	−	5.28426i	−1.06303	−	0.233991i
$511$	−4.70751	+	8.87931i	−0.208248	+	0.392797i
$512$	−0.907575	+	0.419889i	−0.0401095	+	0.0185567i
$513$	1.01349	−	0.341486i	0.0447468	−	0.0150770i
$514$	−11.7832	−	13.8723i	−0.519735	−	0.611879i
$515$	−37.2909	+	22.4372i	−1.64323	+	0.988701i
$516$	−2.88467	+	10.3896i	−0.126990	+	0.457378i
$517$	8.79722	−	1.93641i	0.386901	−	0.0851634i
$518$	−5.78659	−	8.53458i	−0.254248	−	0.374988i
$519$	−9.95012	+	9.42525i	−0.436762	+	0.413723i
$520$	−22.9859	−	13.8301i	−1.00800	−	0.606491i
$521$	−0.341535	−	2.08327i	−0.0149629	−	0.0912697i	0.978289	−	0.207244i	$-0.0664493\pi$
$521$	−0.341535	−	2.08327i	−0.0149629	−	0.0912697i	−0.993252	+	0.115974i	$0.963001\pi$
$522$	−4.29758	+	6.33846i	−0.188100	+	0.277427i
$523$	−3.14240	+	7.88683i	−0.137408	+	0.344867i	−0.981537	−	0.191272i	$-0.938739\pi$
$523$	−3.14240	+	7.88683i	−0.137408	+	0.344867i	0.844129	+	0.536139i	$0.180118\pi$
$524$	−4.93516	+	5.81012i	−0.215593	+	0.253816i
$525$	5.01711	−	30.6030i	0.218965	−	1.33563i
$526$	−18.8598	−	17.8650i	−0.822328	−	0.778950i
$527$	−10.3721	−	37.3570i	−0.451817	−	1.62730i
$528$	−1.70040	−	3.20729i	−0.0740002	−	0.139579i
$529$	−15.5861	−	11.8482i	−0.677655	−	0.515140i
$530$	−6.72373			−0.292060
$531$	5.76670	−	5.07397i	0.250253	−	0.220192i
$532$	2.68081			0.116228
$533$	−0.900497	−	0.684540i	−0.0390048	−	0.0296507i
$534$	0.301131	+	0.567994i	0.0130312	+	0.0245795i
$535$	10.3036	+	37.1101i	0.445462	+	1.60441i
$536$	4.27422	+	4.04876i	0.184618	+	0.174880i
$537$	0.214557	−	1.30874i	0.00925882	−	0.0564763i
$538$	1.85723	−	2.18650i	0.0800710	−	0.0942669i
$539$	−0.962954	+	2.41683i	−0.0414774	+	0.104100i
$540$	−2.33899	+	3.44975i	−0.100654	+	0.148454i
$541$	2.73411	+	16.6773i	0.117548	+	0.717014i	0.978176	+	0.207779i	$0.0666234\pi$
$541$	2.73411	+	16.6773i	0.117548	+	0.717014i	−0.860627	+	0.509235i	$0.829928\pi$
$542$	−15.9062	−	9.57043i	−0.683229	−	0.411085i
$543$	3.83526	−	3.63295i	0.164587	−	0.155905i
$544$	3.30973	+	4.88148i	0.141903	+	0.209292i
$545$	56.6891	−	12.4782i	2.42829	−	0.534508i
$546$	−4.31615	+	15.5454i	−0.184714	+	0.665280i
$547$	−19.7026	+	11.8547i	−0.842422	+	0.506868i	−0.870173	−	0.492746i	$-0.835993\pi$
$547$	−19.7026	+	11.8547i	−0.842422	+	0.506868i	0.0277511	+	0.999615i	$0.491165\pi$
$548$	−0.198201	−	0.233340i	−0.00846673	−	0.00996781i
$549$	−12.3862	+	4.17340i	−0.528630	+	0.178116i
$550$	40.7602	−	18.8577i	1.73802	−	0.804095i
$551$	3.83630	−	7.23603i	0.163432	−	0.308265i
$552$	−1.80656	−	0.397655i	−0.0768925	−	0.0169253i
$553$	−10.5823	−	26.5596i	−0.450005	−	1.12943i
$554$	−1.92126	−	0.647348i	−0.0816265	−	0.0275032i
$555$	−17.0446	+	1.85371i	−0.723504	+	0.0786858i
$556$	0.733942	+	13.5368i	0.0311261	+	0.574087i
$557$	1.02072	−	18.8261i	0.0432493	−	0.797687i	−0.893795	−	0.448476i	$-0.851967\pi$
$557$	1.02072	−	18.8261i	0.0432493	−	0.797687i	0.937044	−	0.349211i	$-0.113550\pi$
$558$	−6.53522	−	0.710748i	−0.276658	−	0.0300884i
$559$	62.9854	+	29.1401i	2.66400	+	1.23250i
$560$	−8.31725	+	6.32261i	−0.351468	+	0.267179i
$561$	−17.0441	+	12.9566i	−0.719602	+	0.547027i
$562$	−15.7437	−	7.28382i	−0.664108	−	0.307249i
$563$	36.3318	+	3.95132i	1.53120	+	0.166528i	0.834571	−	0.550901i	$-0.185716\pi$
$563$	36.3318	+	3.95132i	1.53120	+	0.166528i	0.696631	+	0.717429i	$0.254681\pi$
$564$	−0.134339	+	2.47775i	−0.00565671	+	0.104332i
$565$	4.28320	+	78.9989i	0.180195	+	3.32351i
$566$	15.2324	−	1.65662i	0.640265	−	0.0696331i
$567$	2.37544	+	0.800380i	0.0997592	+	0.0336128i
$568$	0.0213074	+	0.0534775i	0.000894038	+	0.00224387i
$569$	−32.4157	−	7.13523i	−1.35894	−	0.299124i	−0.525054	−	0.851069i	$-0.675955\pi$
$569$	−32.4157	−	7.13523i	−1.35894	−	0.299124i	−0.833881	+	0.551944i	$0.813886\pi$
$570$	2.08794	−	3.93826i	0.0874540	−	0.164956i
$571$	−3.15157	+	1.45807i	−0.131889	+	0.0610184i	−0.484724	−	0.874667i	$-0.661080\pi$
$571$	−3.15157	+	1.45807i	−0.131889	+	0.0610184i	0.352835	+	0.935686i	$0.385218\pi$
$572$	−22.1415	+	7.46033i	−0.925781	+	0.311932i
$573$	−1.44531	−	1.70155i	−0.0603785	−	0.0710831i
$574$	−0.377477	+	0.227120i	−0.0157556	+	0.00947982i
$575$	6.12246	−	22.0511i	0.255324	−	0.919595i
$576$	0.976621	−	0.214970i	0.0406925	−	0.00895710i
$577$	−13.5030	−	19.9155i	−0.562139	−	0.829093i	0.435325	−	0.900274i	$-0.356634\pi$
$577$	−13.5030	−	19.9155i	−0.562139	−	0.829093i	−0.997463	+	0.0711809i	$0.977323\pi$
$578$	12.9105	−	12.2294i	0.537005	−	0.508678i
$579$	7.01355	+	4.21991i	0.291473	+	0.175374i
$580$	5.16378	+	31.4977i	0.214414	+	1.30787i
$581$	−5.92434	+	8.73775i	−0.245783	+	0.362503i
$582$	1.66765	−	4.18549i	0.0691264	−	0.173494i
$583$	−3.79122	+	4.46336i	−0.157016	+	0.184854i
$584$	0.648637	−	3.95651i	0.0268408	−	0.163722i
$585$	19.4754	+	18.4481i	0.805208	+	0.762734i
$586$	2.24594	+	8.08914i	0.0927789	+	0.334159i
$587$	−12.7440	−	24.0377i	−0.526001	−	0.992144i	−0.994100	−	0.108468i	$-0.965406\pi$
$587$	−12.7440	−	24.0377i	−0.526001	−	0.992144i	0.468099	−	0.883676i	$-0.344939\pi$
$588$	−0.570532	−	0.433707i	−0.0235283	−	0.0178858i
$589$	7.03048			0.289686
$590$	2.90600	−	31.8823i	0.119638	−	1.31258i
$591$	−16.2172			−0.667085
$592$	3.27479	+	2.48943i	0.134593	+	0.102315i
$593$	16.6793	+	31.4604i	0.684936	+	1.29193i	0.945233	+	0.326397i	$0.105835\pi$
$593$	16.6793	+	31.4604i	0.684936	+	1.29193i	−0.260297	+	0.965529i	$0.583821\pi$
$594$	0.971170	+	3.49784i	0.0398476	+	0.143518i
$595$	44.7336	+	42.3739i	1.83390	+	1.73716i
$596$	−2.21442	+	13.5074i	−0.0907062	+	0.553283i
$597$	6.71029	−	7.89996i	0.274634	−	0.323324i
$598$	−4.40680	+	11.0602i	−0.180207	+	0.452286i
$599$	−7.07787	+	10.4391i	−0.289194	+	0.426529i	−0.944339	−	0.328974i	$-0.893297\pi$
$599$	−7.07787	+	10.4391i	−0.289194	+	0.426529i	0.655145	+	0.755503i	$0.272608\pi$
$600$	2.00151	+	12.2087i	0.0817115	+	0.498418i
$601$	28.8664	+	17.3683i	1.17748	+	0.708469i	0.963327	−	0.268330i	$-0.0864718\pi$
$601$	28.8664	+	17.3683i	1.17748	+	0.708469i	0.214158	+	0.976799i	$0.431299\pi$
$602$	19.6225	−	18.5874i	0.799754	−	0.757567i
$603$	−3.30393	−	4.87293i	−0.134546	−	0.198441i
$604$	15.8837	−	3.49628i	0.646301	−	0.142262i
$605$	2.42860	−	8.74703i	0.0987366	−	0.355617i
$606$	3.80086	−	2.28690i	0.154399	−	0.0928990i
$607$	−24.4343	−	28.7663i	−0.991757	−	1.16759i	−0.985854	−	0.167604i	$-0.946397\pi$
$607$	−24.4343	−	28.7663i	−0.991757	−	1.16759i	−0.00590216	−	0.999983i	$-0.501879\pi$
$608$	−1.01349	+	0.341486i	−0.0411026	+	0.0138491i
$609$	17.4219	−	8.06021i	0.705969	−	0.326616i
$610$	−25.5173	+	48.1307i	−1.03316	+	1.94875i
$611$	15.5974	+	3.43324i	0.631002	+	0.138894i
$612$	−2.18297	−	5.47885i	−0.0882414	−	0.221469i
$613$	32.5586	+	10.9703i	1.31503	+	0.443085i	0.887455	−	0.460895i	$-0.152471\pi$
$613$	32.5586	+	10.9703i	1.31503	+	0.443085i	0.427575	+	0.903980i	$0.359368\pi$
$614$	−27.8720	+	3.03126i	−1.12482	+	0.122332i
$615$	0.0396568	+	0.731426i	0.00159911	+	0.0294939i
$616$	−0.492640	+	9.08622i	−0.0198490	+	0.366094i
$617$	35.6203	+	3.87395i	1.43402	+	0.155959i	0.791903	−	0.610647i	$-0.209090\pi$
$617$	35.6203	+	3.87395i	1.43402	+	0.155959i	0.642118	+	0.766606i	$0.278056\pi$
$618$	−9.47668	−	4.38438i	−0.381208	−	0.176366i
$619$	−0.248886	+	0.189199i	−0.0100036	+	0.00760453i	−0.610164	−	0.792275i	$-0.708896\pi$
$619$	−0.248886	+	0.189199i	−0.0100036	+	0.00760453i	0.600160	+	0.799880i	$0.295103\pi$
$620$	−21.8121	+	16.5812i	−0.875997	+	0.665915i
$621$	1.67884	+	0.776716i	0.0673697	+	0.0311685i
$622$	0.241824	+	0.0263000i	0.00969628	+	0.00105453i
$623$	0.0872441	−	1.60912i	0.00349536	−	0.0644681i
$624$	−0.348450	−	6.42679i	−0.0139492	−	0.257277i
$625$	−65.8119	+	7.15747i	−2.63248	+	0.286299i
$626$	−11.1204	−	3.74691i	−0.444462	−	0.149757i
$627$	−1.43701	−	3.60663i	−0.0573888	−	0.144035i
$628$	21.1805	+	4.66218i	0.845194	+	0.186041i
$629$	11.3639	−	21.4347i	0.453110	−	0.854656i
$630$	9.48197	−	4.38683i	0.377771	−	0.174775i
$631$	−19.0992	+	6.43526i	−0.760326	+	0.256184i	−0.672646	−	0.739965i	$-0.734842\pi$
$631$	−19.0992	+	6.43526i	−0.760326	+	0.256184i	−0.0876808	+	0.996149i	$0.527946\pi$
$632$	7.38388	+	8.69297i	0.293715	+	0.345788i
$633$	1.98288	−	1.19306i	0.0788126	−	0.0474200i
$634$	8.53708	−	30.7478i	0.339051	−	1.22115i
$635$	28.3973	−	6.25072i	1.12691	−	0.248052i
$636$	−0.905310	−	1.33523i	−0.0358979	−	0.0529454i
$637$	−3.34874	+	3.17210i	−0.132682	+	0.125683i
$638$	23.8205	+	14.3323i	0.943062	+	0.567421i
$639$	−0.00931314	−	0.0568077i	−0.000368422	−	0.00224728i
$640$	2.33899	−	3.44975i	0.0924567	−	0.136363i
$641$	7.94135	−	19.9313i	0.313665	−	0.787239i	−0.684632	−	0.728889i	$-0.740037\pi$
$641$	7.94135	−	19.9313i	0.313665	−	0.787239i	0.998296	−	0.0583496i	$-0.0185838\pi$
$642$	−5.98219	+	7.04278i	−0.236098	+	0.277956i
$643$	0.185134	−	1.12927i	0.00730096	−	0.0445339i	−0.982925	−	0.184008i	$-0.941093\pi$
$643$	0.185134	−	1.12927i	0.00730096	−	0.0445339i	0.990226	+	0.139474i	$0.0445411\pi$
$644$	3.36633	+	3.18876i	0.132652	+	0.125655i
$645$	−12.0231	−	43.3033i	−0.473409	−	1.70506i
$646$	2.95448	+	5.57273i	0.116242	+	0.219256i
$647$	19.1312	+	14.5431i	0.752124	+	0.571750i	0.909458	−	0.415796i	$-0.136497\pi$
$647$	19.1312	+	14.5431i	0.752124	+	0.571750i	−0.157334	+	0.987545i	$0.550290\pi$
$648$	−1.00000			−0.0392837
$649$	−19.5257	−	19.9061i	−0.766449	−	0.781383i
$650$	79.6269			3.12322
$651$	13.1181	+	9.97216i	0.514141	+	0.390840i
$652$	5.78136	+	10.9048i	0.226415	+	0.427065i
$653$	3.22807	+	11.6265i	0.126324	+	0.454978i	0.999473	−	0.0324762i	$-0.0103393\pi$
$653$	3.22807	+	11.6265i	0.126324	+	0.454978i	−0.873148	+	0.487454i	$0.837926\pi$
$654$	10.1108	+	9.57749i	0.395365	+	0.374509i
$655$	5.14030	−	31.3544i	0.200848	−	1.22512i
$656$	0.113776	−	0.133947i	0.00444220	−	0.00522977i
$657$	−1.48401	+	3.72457i	−0.0578966	+	0.145309i
$658$	3.49057	−	5.14821i	0.136077	−	0.200698i
$659$	−6.06312	−	36.9834i	−0.236186	−	1.44067i	−0.792589	−	0.609756i	$-0.791267\pi$
$659$	−6.06312	−	36.9834i	−0.236186	−	1.44067i	0.556404	−	0.830912i	$-0.312181\pi$
$660$	12.9645	+	7.80046i	0.504641	+	0.303633i
$661$	−3.37386	+	3.19589i	−0.131228	+	0.124306i	−0.750499	−	0.660872i	$-0.770187\pi$
$661$	−3.37386	+	3.19589i	−0.131228	+	0.124306i	0.619271	+	0.785177i	$0.287428\pi$
$662$	−3.42573	−	5.05258i	−0.133145	−	0.196374i
$663$	−37.0716	+	8.16008i	−1.43974	+	0.316911i
$664$	1.12670	−	4.05800i	0.0437243	−	0.157481i
$665$	−9.57405	+	5.76052i	−0.371266	+	0.223383i
$666$	−2.66307	−	3.13521i	−0.103192	−	0.121487i
$667$	13.4244	−	4.52319i	0.519793	−	0.175139i
$668$	7.73278	−	3.57757i	0.299190	−	0.138420i
$669$	7.11319	−	13.4169i	0.275012	−	0.518727i
$670$	−23.9646	−	5.27500i	−0.925833	−	0.203791i
$671$	17.5622	+	44.0777i	0.677980	+	1.70160i
$672$	−2.37544	−	0.800380i	−0.0916347	−	0.0308753i
$673$	−10.4578	+	1.13735i	−0.403117	+	0.0438416i	−0.307432	−	0.951570i	$-0.599470\pi$
$673$	−10.4578	+	1.13735i	−0.403117	+	0.0438416i	−0.0956849	+	0.995412i	$0.530504\pi$
$674$	0.671047	+	12.3767i	0.0258478	+	0.476734i
$675$	0.669789	−	12.3535i	0.0257802	−	0.475488i
$676$	−28.2584	−	3.07329i	−1.08686	−	0.118203i
$677$	−1.12971	−	0.522659i	−0.0434183	−	0.0200874i	0.398060	−	0.917359i	$-0.369684\pi$
$677$	−1.12971	−	0.522659i	−0.0434183	−	0.0200874i	−0.441478	+	0.897272i	$0.645546\pi$
$678$	−15.1113	+	11.4873i	−0.580346	+	0.441167i
$679$	−8.99085	+	6.83467i	−0.345037	+	0.262290i
$680$	−22.3094	−	10.3214i	−0.855526	−	0.395809i
$681$	−18.3205	−	1.99247i	−0.702042	−	0.0763517i
$682$	−1.29196	+	23.8288i	−0.0494716	+	0.912451i
$683$	−0.800521	−	14.7647i	−0.0306311	−	0.564957i	−0.973060	−	0.230551i	$-0.925947\pi$
$683$	−0.800521	−	14.7647i	−0.0306311	−	0.564957i	0.942429	−	0.334406i	$-0.108536\pi$
$684$	1.06321	−	0.115631i	0.0406528	−	0.00442125i
$685$	1.20924	+	0.407441i	0.0462027	+	0.0155675i
$686$	7.15960	+	17.9692i	0.273355	+	0.686069i
$687$	13.5667	+	2.98625i	0.517601	+	0.113933i
$688$	−5.05069	+	9.52660i	−0.192556	+	0.363198i
$689$	−9.42332	+	4.35969i	−0.359000	+	0.166091i
$690$	7.30631	−	2.46178i	0.278146	−	0.0937184i
$691$	5.33408	+	6.27977i	0.202918	+	0.238894i	0.854203	−	0.519940i	$-0.174046\pi$
$691$	5.33408	+	6.27977i	0.202918	+	0.238894i	−0.651285	+	0.758833i	$0.725770\pi$
$692$	−11.7436	+	7.06592i	−0.446426	+	0.268606i
$693$	2.43439	−	8.76788i	0.0924749	−	0.333064i
$694$	5.03200	−	1.10763i	0.191012	−	0.0420450i
$695$	−31.7089	−	46.7671i	−1.20279	−	1.77398i
$696$	−5.55969	+	5.26642i	−0.210739	+	0.199623i
$697$	−0.888136	−	0.534374i	−0.0336406	−	0.0202409i
$698$	0.399108	+	2.43445i	0.0151065	+	0.0921453i
$699$	2.00451	−	2.95643i	0.0758175	−	0.111822i
$700$	11.4786	−	28.8090i	0.433849	−	1.08888i
$701$	−14.2345	+	16.7581i	−0.537628	+	0.632945i	−0.962166	−	0.272466i	$-0.912161\pi$
$701$	−14.2345	+	16.7581i	−0.537628	+	0.632945i	0.424537	+	0.905410i	$0.360437\pi$
$702$	−1.04127	+	6.35144i	−0.0393000	+	0.239720i
$703$	3.19393	+	3.02545i	0.120461	+	0.114107i
$704$	−0.971170	−	3.49784i	−0.0366023	−	0.131830i
$705$	−4.84440	−	9.13750i	−0.182451	−	0.344138i
$706$	−14.8556	−	11.2929i	−0.559097	−	0.425014i
$707$	−11.1191			−0.418176
$708$	6.72263	−	3.71568i	0.252652	−	0.139644i
$709$	10.7003			0.401860			0.200930	−	0.979606i	$-0.435604\pi$
$709$	10.7003			0.401860			0.200930	+	0.979606i	$0.435604\pi$
$710$	−0.191008	−	0.145200i	−0.00716839	−	0.00544927i
$711$	−5.34251	−	10.0771i	−0.200360	−	0.377919i
$712$	0.171989	+	0.619449i	0.00644557	+	0.0232148i
$713$	8.82826	+	8.36257i	0.330621	+	0.313181i
$714$	−2.39172	+	14.5888i	−0.0895077	+	0.545973i
$715$	63.0436	−	74.2207i	2.35770	−	2.77570i
$716$	0.490881	−	1.23202i	0.0183451	−	0.0460427i
$717$	11.5441	−	17.0263i	0.431123	−	0.635859i
$718$	−0.346334	−	2.11255i	−0.0129251	−	0.0788395i
$719$	−31.2739	−	18.8169i	−1.16632	−	0.701752i	−0.205428	−	0.978672i	$-0.565859\pi$
$719$	−31.2739	−	18.8169i	−1.16632	−	0.701752i	−0.960893	+	0.276920i	$0.910686\pi$
$720$	−3.02590	+	2.86629i	−0.112769	+	0.106820i
$721$	14.6885	+	21.6639i	0.547027	+	0.806804i
$722$	17.4388	−	3.83856i	0.649003	−	0.142856i
$723$	4.04543	−	14.5703i	0.150451	−	0.541876i
$724$	4.52657	−	2.72355i	0.168229	−	0.101220i
$725$	−61.3350	−	72.2092i	−2.27793	−	2.68178i
$726$	2.06402	−	0.695451i	0.0766031	−	0.0258106i
$727$	−4.21032	+	1.94790i	−0.156152	+	0.0722436i	−0.496408	−	0.868089i	$-0.665348\pi$
$727$	−4.21032	+	1.94790i	−0.156152	+	0.0722436i	0.340257	+	0.940333i	$0.389486\pi$
$728$	−7.55703	+	14.2541i	−0.280082	+	0.528291i
$729$	0.976621	+	0.214970i	0.0361711	+	0.00796187i
$730$	6.18524	+	15.5238i	0.228926	+	0.574561i
$731$	60.2642	+	20.3054i	2.22895	+	0.751021i
$732$	−12.9938	+	1.41316i	−0.480264	+	0.0522318i
$733$	1.91938	+	35.4009i	0.0708940	+	1.30756i	0.790191	+	0.612861i	$0.209981\pi$
$733$	1.91938	+	35.4009i	0.0708940	+	1.30756i	−0.719297	+	0.694703i	$0.755536\pi$
$734$	1.85546	−	34.2219i	0.0684863	−	1.26315i
$735$	2.96950	+	0.322953i	0.109532	+	0.0119123i
$736$	−1.67884	−	0.776716i	−0.0618830	−	0.0286301i
$737$	−17.0142	+	12.9339i	−0.626727	+	0.476426i
$738$	−0.139911	+	0.106357i	−0.00515018	+	0.00391507i
$739$	−4.96772	−	2.29831i	−0.182741	−	0.0845448i	0.326385	−	0.945237i	$-0.394169\pi$
$739$	−4.96772	−	2.29831i	−0.182741	−	0.0845448i	−0.509126	+	0.860692i	$0.670031\pi$
$740$	−17.0446	−	1.85371i	−0.626572	−	0.0681439i
$741$	0.372660	−	6.87330i	0.0136900	−	0.252497i
$742$	0.218924	+	4.03782i	0.00803697	+	0.148233i
$743$	−39.2701	+	4.27088i	−1.44068	+	0.156683i	−0.794854	−	0.606801i	$-0.792452\pi$
$743$	−39.2701	+	4.27088i	−1.44068	+	0.156683i	−0.645826	+	0.763484i	$0.723487\pi$
$744$	−6.22964	−	2.09901i	−0.228390	−	0.0769534i
$745$	−21.1161	−	52.9975i	−0.773636	−	1.94168i
$746$	−19.7554	−	4.34849i	−0.723296	−	0.159209i
$747$	−1.97270	+	3.72092i	−0.0721775	+	0.136141i
$748$	−19.4309	+	8.98968i	−0.710463	+	0.328695i
$749$	21.9503	−	7.39593i	0.802048	−	0.270241i
$750$	−19.8907	−	23.4172i	−0.726306	−	0.855074i
$751$	23.8283	−	14.3370i	0.869507	−	0.523165i	−0.00951043	−	0.999955i	$-0.503027\pi$
$751$	23.8283	−	14.3370i	0.869507	−	0.523165i	0.879017	+	0.476790i	$0.158200\pi$
$752$	−0.663841	+	2.39094i	−0.0242078	+	0.0871885i
$753$	1.58197	−	0.348218i	0.0576502	−	0.0126898i
$754$	27.6602	+	40.7958i	1.00733	+	1.48569i
$755$	−49.2132	+	46.6173i	−1.79105	+	1.69658i
$756$	2.14785	+	1.29232i	0.0781165	+	0.0470011i
$757$	3.99937	+	24.3951i	0.145360	+	0.886654i	0.954319	+	0.298790i	$0.0965829\pi$
$757$	3.99937	+	24.3951i	0.145360	+	0.886654i	−0.808960	+	0.587864i	$0.799969\pi$
$758$	8.18872	−	12.0775i	0.297428	−	0.438673i
$759$	2.48552	−	6.23818i	0.0902186	−	0.226432i
$760$	2.88573	−	3.39735i	0.104676	−	0.123235i
$761$	1.38801	−	8.46651i	0.0503154	−	0.306911i	−0.949664	−	0.313269i	$-0.898576\pi$
$761$	1.38801	−	8.46651i	0.0503154	−	0.306911i	0.999980	+	0.00635865i	$0.00202404\pi$
$762$	5.06483	+	4.79766i	0.183479	+	0.173801i
$763$	−9.33937	−	33.6374i	−0.338108	−	1.21776i
$764$	−1.04573	−	1.97246i	−0.0378333	−	0.0713612i
$765$	19.5690	+	14.8760i	0.707519	+	0.537842i
$766$	−36.7130			−1.32650
$767$	−16.5999	−	46.5674i	−0.599386	−	1.68145i
$768$	1.00000			0.0360844
$769$	−6.97481	−	5.30211i	−0.251518	−	0.191199i	0.471817	−	0.881697i	$-0.343598\pi$
$769$	−6.97481	−	5.30211i	−0.251518	−	0.191199i	−0.723335	+	0.690498i	$0.757392\pi$
$770$	−17.7650	−	33.5084i	−0.640207	−	1.20756i
$771$	4.86933	+	17.5378i	0.175365	+	0.631607i
$772$	5.94242	+	5.62896i	0.213872	+	0.202591i
$773$	−4.22968	+	25.7999i	−0.152131	+	0.927958i	0.794882	+	0.606763i	$0.207532\pi$
$773$	−4.22968	+	25.7999i	−0.152131	+	0.927958i	−0.947013	+	0.321194i	$0.895916\pi$
$774$	6.98054	−	8.21813i	0.250910	−	0.295395i
$775$	30.1027	−	75.5522i	1.08132	−	2.71391i
$776$	2.52842	−	3.72914i	0.0907650	−	0.133868i
$777$	1.66819	+	10.1755i	0.0598459	+	0.365044i
$778$	−17.5239	−	10.5438i	−0.628263	−	0.378013i
$779$	0.136456	−	0.129258i	0.00488904	−	0.00463114i
$780$	15.0543	+	22.2034i	0.539030	+	0.795009i
$781$	−0.204088	+	0.0449232i	−0.00730284	+	0.00160748i
$782$	−2.91865	+	10.5120i	−0.104371	+	0.375909i
$783$	6.56183	−	3.94812i	0.234501	−	0.141094i
$784$	−0.463959	−	0.546215i	−0.0165700	−	0.0195077i
$785$	−85.6605	+	28.8624i	−3.05735	+	1.03014i
$786$	6.91863	−	3.20090i	0.246779	−	0.114172i
$787$	−17.2260	+	32.4916i	−0.614039	+	1.15820i	0.360241	+	0.932859i	$0.382695\pi$
$787$	−17.2260	+	32.4916i	−0.614039	+	1.15820i	−0.974280	+	0.225341i	$0.927650\pi$
$788$	−15.8380	−	3.48621i	−0.564206	−	0.124191i
$789$	9.61541	+	24.1329i	0.342318	+	0.859153i
$790$	−45.0496	−	15.1790i	−1.60279	−	0.540044i
$791$	47.3020	−	5.14440i	1.68187	−	0.182914i
$792$	0.196533	+	3.62483i	0.00698349	+	0.128803i
$793$	−4.55438	+	84.0007i	−0.161731	+	2.98295i
$794$	2.55277	+	0.277630i	0.0905943	+	0.00985272i
$795$	6.10229	+	2.82322i	0.216426	+	0.100129i
$796$	8.25167	−	6.27275i	0.292473	−	0.222332i
$797$	8.06046	−	6.12740i	0.285516	−	0.217044i	−0.452606	−	0.891710i	$-0.649506\pi$
$797$	8.06046	−	6.12740i	0.285516	−	0.217044i	0.738123	+	0.674667i	$0.235713\pi$
$798$	−2.43304	−	1.12564i	−0.0861287	−	0.0398474i
$799$	14.5487	+	1.58227i	0.514697	+	0.0559767i
$800$	−0.669789	+	12.3535i	−0.0236806	+	0.436763i
$801$	−0.0348049	−	0.641939i	−0.00122977	−	0.0226818i
$802$	−6.23256	+	0.677831i	−0.220079	+	0.0239351i
$803$	13.7926	+	4.64727i	0.486731	+	0.163999i
$804$	−2.17915	−	5.46925i	−0.0768527	−	0.192886i
$805$	−18.8742	−	4.15453i	−0.665230	−	0.146428i
$806$	−19.8185	+	37.3816i	−0.698075	+	1.31671i
$807$	−2.60367	+	1.20459i	−0.0916534	+	0.0424034i
$808$	4.20361	−	1.41636i	0.147883	−	0.0498274i
$809$	−36.0053	−	42.3887i	−1.26588	−	1.49031i	−0.793056	−	0.609149i	$-0.791511\pi$
$809$	−36.0053	−	42.3887i	−1.26588	−	1.49031i	−0.472823	−	0.881158i	$-0.656765\pi$
$810$	3.57132	−	2.14879i	0.125484	−	0.0755009i
$811$	9.00174	−	32.4214i	0.316094	−	1.13847i	−0.619386	−	0.785087i	$-0.712618\pi$
$811$	9.00174	−	32.4214i	0.316094	−	1.13847i	0.935480	−	0.353381i	$-0.114968\pi$
$812$	18.7472	−	4.12658i	0.657899	−	0.144815i
$813$	10.4175	+	15.3647i	0.365359	+	0.538864i
$814$	−10.8412	+	10.2694i	−0.379985	+	0.359941i
$815$	−44.0793	−	26.5216i	−1.54403	−	0.929011i
$816$	−0.954145	−	5.82003i	−0.0334018	−	0.203742i
$817$	−6.47150	+	9.54475i	−0.226409	+	0.333928i
$818$	−0.0783245	+	0.196580i	−0.00273855	+	0.00687325i
$819$	10.4446	−	12.2963i	0.364962	−	0.429667i
$820$	−0.118505	+	0.722851i	−0.00413839	+	0.0252430i
$821$	−13.8910	−	13.1582i	−0.484798	−	0.459225i	0.405836	−	0.913946i	$-0.366980\pi$
$821$	−13.8910	−	13.1582i	−0.484798	−	0.459225i	−0.890634	+	0.454721i	$0.849739\pi$
$822$	0.0819054	+	0.294997i	0.00285678	+	0.0102892i
$823$	−0.119928	−	0.226208i	−0.00418043	−	0.00788513i	0.881413	−	0.472346i	$-0.156593\pi$
$823$	−0.119928	−	0.226208i	−0.00418043	−	0.00788513i	−0.885593	+	0.464461i	$0.846248\pi$
$824$	−8.31261	−	6.31908i	−0.289584	−	0.220136i
$825$	−44.9111			−1.56360
$826$	−19.2410	−	0.707059i	−0.669481	−	0.0246017i
$827$	46.5078			1.61724			0.808618	−	0.588334i	$-0.200216\pi$
$827$	46.5078			1.61724			0.808618	+	0.588334i	$0.200216\pi$
$828$	1.47262	+	1.11946i	0.0511772	+	0.0389039i
$829$	−18.2166	−	34.3602i	−0.632690	−	1.19338i	−0.967924	−	0.251245i	$-0.919160\pi$
$829$	−18.2166	−	34.3602i	−0.632690	−	1.19338i	0.335234	−	0.942135i	$-0.391185\pi$
$830$	4.69600	+	16.9135i	0.163000	+	0.587075i
$831$	1.47187	+	1.39423i	0.0510588	+	0.0483654i
$832$	1.04127	−	6.35144i	0.0360994	−	0.220197i
$833$	−2.73630	+	3.22142i	−0.0948073	+	0.111616i
$834$	5.01783	−	12.5938i	0.173753	−	0.436088i
$835$	−19.9288	+	29.3928i	−0.689665	+	1.01718i
$836$	−0.628098	−	3.83123i	−0.0217232	−	0.132506i
$837$	5.63277	+	3.38912i	0.194697	+	0.117145i
$838$	7.21587	−	6.83523i	0.249268	−	0.236119i
$839$	23.4508	+	34.5873i	0.809611	+	1.19409i	0.978049	+	0.208375i	$0.0668174\pi$
$839$	23.4508	+	34.5873i	0.809611	+	1.19409i	−0.168438	+	0.985712i	$0.553872\pi$
$840$	10.2033	−	2.24592i	0.352048	−	0.0774917i
$841$	7.93095	−	28.5647i	0.273481	−	0.984990i
$842$	18.9637	−	11.4101i	0.653532	−	0.393217i
$843$	11.2302	+	13.2212i	0.386789	+	0.455363i
$844$	2.19300	−	0.738907i	0.0754861	−	0.0254342i
$845$	107.524	−	49.7458i	3.69893	−	1.71131i
$846$	1.16230	−	2.19233i	0.0399608	−	0.0753740i
$847$	−5.33195	−	1.17365i	−0.183208	−	0.0403272i
$848$	−0.597109	−	1.49863i	−0.0205048	−	0.0514632i
$849$	−14.5201	−	4.89241i	−0.498330	−	0.167907i
$850$	72.5370	−	7.88887i	2.48800	−	0.270586i
$851$	0.411962	+	7.59819i	0.0141219	+	0.260462i
$852$	0.00311656	−	0.0574816i	0.000106772	−	0.00196929i
$853$	−1.09638	−	0.119238i	−0.0375393	−	0.00408264i	0.0893301	−	0.996002i	$-0.471527\pi$
$853$	−1.09638	−	0.119238i	−0.0375393	−	0.00408264i	−0.126869	+	0.991919i	$0.540493\pi$
$854$	29.7349	+	13.7568i	1.01751	+	0.470749i
$855$	−3.54859	+	2.69757i	−0.121359	+	0.0922550i
$856$	−7.35632	+	5.59213i	−0.251434	+	0.191135i
$857$	−19.7012	−	9.11476i	−0.672981	−	0.311354i	0.0534727	−	0.998569i	$-0.482971\pi$
$857$	−19.7012	−	9.11476i	−0.672981	−	0.311354i	−0.726454	+	0.687215i	$0.758833\pi$
$858$	23.2276	+	2.52615i	0.792976	+	0.0862413i
$859$	−0.274996	+	5.07200i	−0.00938273	+	0.173054i	0.990086	+	0.140462i	$0.0448589\pi$
$859$	−0.274996	+	5.07200i	−0.00938273	+	0.173054i	−0.999469	+	0.0325919i	$0.989624\pi$
$860$	−2.43308	−	44.8755i	−0.0829673	−	1.53024i
$861$	0.437954	−	0.0476304i	0.0149254	−	0.00162324i
$862$	22.5499	+	7.59795i	0.768053	+	0.258787i
$863$	15.4745	+	38.8380i	0.526757	+	1.32206i	0.916094	+	0.400964i	$0.131325\pi$
$863$	15.4745	+	38.8380i	0.526757	+	1.32206i	−0.389337	+	0.921095i	$0.627296\pi$
$864$	−0.976621	−	0.214970i	−0.0332253	−	0.00731344i
$865$	26.7572	−	50.4693i	0.909771	−	1.71601i
$866$	−0.548095	+	0.253576i	−0.0186250	+	0.00861686i
$867$	−16.8522	+	5.67818i	−0.572332	+	0.192841i
$868$	10.6677	+	12.5590i	0.362086	+	0.426281i
$869$	−35.4776	+	21.3462i	−1.20350	+	0.724120i
$870$	8.53900	−	30.7547i	0.289499	−	1.04268i
$871$	−37.0067	+	8.14579i	−1.25392	+	0.276010i
$872$	7.81557	+	11.5271i	0.264669	+	0.390357i
$873$	−3.27096	+	3.09842i	−0.110705	+	0.104866i
$874$	−1.69515	−	1.01994i	−0.0573392	−	0.0344999i
$875$	12.4598	+	76.0016i	0.421219	+	2.56932i
$876$	−2.24998	+	3.31848i	−0.0760199	+	0.112121i
$877$	11.9701	−	30.0426i	0.404200	−	1.01447i	−0.576175	−	0.817326i	$-0.695455\pi$
$877$	11.9701	−	30.0426i	0.404200	−	1.01447i	0.980375	−	0.197140i	$-0.0631653\pi$
$878$	−16.5714	+	19.5094i	−0.559259	+	0.658411i
$879$	1.35818	−	8.28455i	0.0458104	−	0.279431i
$880$	10.9845	+	10.4051i	0.370287	+	0.350755i
$881$	2.02953	+	7.30972i	0.0683767	+	0.246271i	0.989838	−	0.142200i	$-0.0454175\pi$
$881$	2.02953	+	7.30972i	0.0683767	+	0.246271i	−0.921461	+	0.388470i	$0.873004\pi$
$882$	0.335692	+	0.633182i	0.0113033	+	0.0213204i
$883$	−17.7502	−	13.4934i	−0.597342	−	0.454088i	0.262298	−	0.964987i	$-0.415520\pi$
$883$	−17.7502	−	13.4934i	−0.597342	−	0.454088i	−0.859641	+	0.510899i	$0.829313\pi$
$884$	−37.9591			−1.27670
$885$	−16.0245	+	27.7154i	−0.538656	+	0.931644i
$886$	−8.71889			−0.292917
$887$	−13.5547	−	10.3040i	−0.455121	−	0.345974i	0.352363	−	0.935863i	$-0.385378\pi$
$887$	−13.5547	−	10.3040i	−0.455121	−	0.345974i	−0.807484	+	0.589889i	$0.799171\pi$
$888$	−1.92683	−	3.63440i	−0.0646603	−	0.121962i
$889$	−4.67838	−	16.8500i	−0.156908	−	0.565131i
$890$	−1.94530	−	1.84268i	−0.0652065	−	0.0617669i
$891$	0.587294	−	3.58233i	0.0196751	−	0.120013i
$892$	9.83112	−	11.5741i	0.329170	−	0.387529i
$893$	−0.982267	+	2.46530i	−0.0328703	+	0.0824982i
$894$	7.68135	−	11.3291i	0.256903	−	0.378903i
$895$	0.894260	+	5.45474i	0.0298918	+	0.182332i
$896$	−2.14785	−	1.29232i	−0.0717546	−	0.0431733i
$897$	8.64357	−	8.18762i	0.288600	−	0.273377i
$898$	−1.01428	−	1.49595i	−0.0338470	−	0.0499206i
$899$	49.1650	−	10.8220i	1.63974	−	0.360935i
$900$	3.30977	−	11.9207i	0.110326	−	0.397358i
$901$	−8.15234	+	4.90510i	−0.271594	+	0.163413i
$902$	0.413024	+	0.486250i	0.0137522	+	0.0161904i
$903$	−25.6136	+	8.63022i	−0.852366	+	0.287196i
$904$	−17.2274	+	7.97026i	−0.572976	+	0.265087i
$905$	−10.3135	+	19.4533i	−0.342833	+	0.646651i
$906$	−15.8837	−	3.49628i	−0.527702	−	0.116156i
$907$	17.2446	+	43.2807i	0.572598	+	1.43711i	0.875090	+	0.483961i	$0.160802\pi$
$907$	17.2446	+	43.2807i	0.572598	+	1.43711i	−0.302492	+	0.953152i	$0.597819\pi$
$908$	−17.4638	−	5.88425i	−0.579557	−	0.195276i
$909$	−4.40981	+	0.479596i	−0.146264	+	0.0159072i
$910$	−3.64047	−	67.1444i	−0.120680	−	2.22582i
$911$	−0.0623140	+	1.14931i	−0.00206455	+	0.0380785i	−0.999384	−	0.0350898i	$-0.988828\pi$
$911$	−0.0623140	+	1.14931i	−0.00206455	+	0.0380785i	0.997320	+	0.0731683i	$0.0233110\pi$
$912$	1.06321	+	0.115631i	0.0352063	+	0.00382892i
$913$	13.8754	+	6.41944i	0.459209	+	0.212453i
$914$	11.2957	−	8.58679i	0.373629	−	0.284026i
$915$	43.3684	−	32.9678i	1.43371	−	1.08988i
$916$	12.6075	+	5.83287i	0.416565	+	0.192724i
$917$	−18.9967	−	2.06602i	−0.627328	−	0.0682260i
$918$	−0.319296	+	5.88907i	−0.0105383	+	0.194368i
$919$	2.84440	+	52.4618i	0.0938280	+	1.73056i	0.545275	+	0.838257i	$0.316425\pi$
$919$	2.84440	+	52.4618i	0.0938280	+	1.73056i	−0.451447	+	0.892298i	$0.649092\pi$
$920$	7.66470	−	0.833586i	0.252698	−	0.0274825i
$921$	26.5687	+	8.95205i	0.875469	+	0.294980i
$922$	−2.13542	−	5.35950i	−0.0703263	−	0.176506i
$923$	−0.361846	−	0.0796483i	−0.0119103	−	0.00262165i
$924$	4.26231	−	8.03957i	0.140220	−	0.264483i
$925$	46.1882	−	21.3689i	1.51866	−	0.702606i
$926$	−10.4291	+	3.51398i	−0.342722	+	0.115477i
$927$	6.75985	+	7.95831i	0.222023	+	0.261385i
$928$	−6.56183	+	3.94812i	−0.215403	+	0.129603i
$929$	−2.14351	+	7.72024i	−0.0703264	+	0.253293i	−0.990354	−	0.138561i	$-0.955752\pi$
$929$	−2.14351	+	7.72024i	−0.0703264	+	0.253293i	0.920028	+	0.391854i	$0.128166\pi$
$930$	26.7584	−	5.88997i	0.877443	−	0.193140i
$931$	−0.430126	−	0.634388i	−0.0140968	−	0.0207912i
$932$	2.59319	−	2.45640i	0.0849428	−	0.0804621i
$933$	−0.208431	−	0.125409i	−0.00682372	−	0.00410570i
$934$	−1.13283	−	6.90993i	−0.0370672	−	0.226100i
$935$	50.0770	−	73.8580i	1.63769	−	2.41542i
$936$	−2.38229	+	5.97911i	−0.0778677	+	0.195433i
$937$	−24.3484	+	28.6652i	−0.795429	+	0.936451i	−0.999093	−	0.0425895i	$-0.986439\pi$
$937$	−24.3484	+	28.6652i	−0.795429	+	0.936451i	0.203664	+	0.979041i	$0.434715\pi$
$938$	−2.38753	+	14.5633i	−0.0779556	+	0.475508i
$939$	8.51934	+	8.06995i	0.278018	+	0.263353i
$940$	−2.76684	−	9.96527i	−0.0902445	−	0.325031i
$941$	9.89140	+	18.6572i	0.322451	+	0.608206i	0.990752	−	0.135684i	$-0.0433232\pi$
$941$	9.89140	+	18.6572i	0.322451	+	0.608206i	−0.668302	+	0.743890i	$0.732978\pi$
$942$	−17.2653	−	13.1247i	−0.562534	−	0.427627i
$943$	0.325098			0.0105867
$944$	7.36422	−	2.18364i	0.239685	−	0.0710714i
$945$	−10.4476			−0.339860
$946$	−31.1612	−	23.6882i	−1.01314	−	0.770169i
$947$	−6.88537	−	12.9872i	−0.223745	−	0.422027i	0.746071	−	0.665866i	$-0.231938\pi$
$947$	−6.88537	−	12.9872i	−0.223745	−	0.422027i	−0.969816	+	0.243839i	$0.921593\pi$
$948$	−3.05134	−	10.9899i	−0.0991030	−	0.356937i
$949$	18.7343	+	17.7460i	0.608140	+	0.576061i
$950$	−2.14057	+	13.0569i	−0.0694494	+	0.423622i
$951$	−20.6587	+	24.3213i	−0.669904	+	0.788672i
$952$	−5.47196	+	13.7336i	−0.177347	+	0.445108i
$953$	−26.5372	+	39.1394i	−0.859624	+	1.26785i	0.102361	+	0.994747i	$0.467360\pi$
$953$	−26.5372	+	39.1394i	−0.859624	+	1.26785i	−0.961985	+	0.273103i	$0.911950\pi$
$954$	0.260988	+	1.59195i	0.00844978	+	0.0515414i
$955$	7.97307	+	4.79724i	0.258003	+	0.155235i
$956$	14.9344	−	14.1466i	0.483012	−	0.457534i
$957$	−15.6009	−	23.0096i	−0.504305	−	0.743795i
$958$	−4.91267	+	1.08136i	−0.158721	+	0.0349372i
$959$	0.205309	−	0.739455i	0.00662977	−	0.0238783i
$960$	−3.57132	+	2.14879i	−0.115264	+	0.0693520i
$961$	7.90735	+	9.30925i	0.255076	+	0.300298i
$962$	−25.0900	+	8.45380i	−0.808934	+	0.272562i
$963$	8.38648	−	3.88000i	0.270250	−	0.125031i
$964$	7.08304	−	13.3600i	0.228129	−	0.430298i
$965$	−33.3178	−	7.33380i	−1.07254	−	0.236083i
$966$	−1.71627	−	4.30752i	−0.0552202	−	0.138592i
$967$	14.8676	+	5.00946i	0.478108	+	0.161093i	0.548029	−	0.836459i	$-0.315378\pi$
$967$	14.8676	+	5.00946i	0.478108	+	0.161093i	−0.0699211	+	0.997553i	$0.522275\pi$
$968$	2.16527	−	0.235487i	0.0695944	−	0.00756885i
$969$	−0.341480	−	6.29823i	−0.0109699	−	0.202328i
$970$	−1.01665	+	18.7510i	−0.0326427	+	0.602059i
$971$	23.9064	+	2.59998i	0.767193	+	0.0834373i	0.483343	−	0.875431i	$-0.339423\pi$
$971$	23.9064	+	2.59998i	0.767193	+	0.0834373i	0.283851	+	0.958869i	$0.408388\pi$
$972$	0.907575	+	0.419889i	0.0291105	+	0.0134679i
$973$	−27.0527	+	20.5650i	−0.867271	+	0.659282i
$974$	−25.5423	+	19.4168i	−0.818429	+	0.622153i
$975$	−72.2674	−	33.4345i	−2.31441	−	1.07076i
$976$	−12.9938	−	1.41316i	−0.415921	−	0.0452341i
$977$	−1.30569	+	24.0821i	−0.0417728	+	0.770454i	0.900346	+	0.435175i	$0.143313\pi$
$977$	−1.30569	+	24.0821i	−0.0417728	+	0.770454i	−0.942119	+	0.335279i	$0.891169\pi$
$978$	−0.668212	−	12.3245i	−0.0213671	−	0.394093i
$979$	−2.32008	+	0.252324i	−0.0741502	+	0.00806432i
$980$	2.83065	+	0.953758i	0.0904219	+	0.0304667i
$981$	−5.15486	−	12.9377i	−0.164582	−	0.413070i
$982$	40.6683	+	8.95176i	1.29778	+	0.285662i
$983$	−4.41157	+	8.32110i	−0.140707	+	0.265402i	−0.943843	−	0.330394i	$-0.892818\pi$
$983$	−4.41157	+	8.32110i	−0.140707	+	0.265402i	0.803136	+	0.595796i	$0.203163\pi$
$984$	−0.159503	+	0.0737941i	−0.00508478	+	0.00235247i
$985$	64.0539	−	21.5823i	2.04093	−	0.687668i
$986$	29.2391	+	34.4230i	0.931163	+	1.09625i
$987$	−5.32964	+	3.20674i	−0.169644	+	0.102072i
$988$	1.84150	−	6.63250i	0.0585861	−	0.211008i
$989$	−19.4796	+	4.28778i	−0.619414	+	0.136343i
$990$	−8.49090	−	12.5231i	−0.269859	−	0.398012i
$991$	−8.06251	+	7.63722i	−0.256114	+	0.242604i	−0.804974	−	0.593310i	$-0.797821\pi$
$991$	−8.06251	+	7.63722i	−0.256114	+	0.242604i	0.548860	+	0.835914i	$0.315062\pi$
$992$	−5.63277	−	3.38912i	−0.178841	−	0.107605i
$993$	0.987588	+	6.02402i	0.0313402	+	0.191167i
$994$	−0.0809783	+	0.119434i	−0.00256848	+	0.00378822i
$995$	−15.9905	+	40.1332i	−0.506933	+	1.27231i
$996$	−2.72647	+	3.20985i	−0.0863915	+	0.101708i
$997$	5.62666	−	34.3211i	0.178198	−	1.08696i	−0.734585	−	0.678516i	$-0.762623\pi$
$997$	5.62666	−	34.3211i	0.178198	−	1.08696i	0.912783	−	0.408444i	$-0.133928\pi$
$998$	27.8260	+	26.3582i	0.880816	+	0.834353i
$999$	1.10050	+	3.96364i	0.0348182	+	0.125404i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.e.d.25.1	✓	84
59.26	even	29	inner	354.2.e.d.85.1	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.d.25.1	✓	84	1.1	even	1	trivial
354.2.e.d.85.1	yes	84	59.26	even	29	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:	\( N \)	\(=\)	\( 354 = 2 \cdot 3 \cdot 59 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	354.e (of order \(29\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.796093 - 0.605174i) q^{2} +(0.468408 + 0.883512i) q^{3} +(0.267528 + 0.963550i) q^{4} +(-3.02590 - 2.86629i) q^{5} +(0.161782 - 0.986827i) q^{6} +(-1.62278 + 1.91048i) q^{7} +(0.370138 - 0.928977i) q^{8} +(-0.561187 + 0.827689i) q^{9} +O(q^{10})\)	\(q+(-0.796093 - 0.605174i) q^{2} +(0.468408 + 0.883512i) q^{3} +(0.267528 + 0.963550i) q^{4} +(-3.02590 - 2.86629i) q^{5} +(0.161782 - 0.986827i) q^{6} +(-1.62278 + 1.91048i) q^{7} +(0.370138 - 0.928977i) q^{8} +(-0.561187 + 0.827689i) q^{9} +(0.674297 + 4.11303i) q^{10} +(3.11053 + 1.87154i) q^{11} +(-0.725995 + 0.687699i) q^{12} +(3.61193 + 5.32720i) q^{13} +(2.44805 - 0.538857i) q^{14} +(1.11504 - 4.01601i) q^{15} +(-0.856857 + 0.515554i) q^{16} +(3.81810 + 4.49502i) q^{17} +(0.947653 - 0.319302i) q^{18} +(-0.970631 + 0.449062i) q^{19} +(1.95230 - 3.68242i) q^{20} +(-2.44805 - 0.538857i) q^{21} +(-1.34366 - 3.37233i) q^{22} +(-1.75298 - 0.590648i) q^{23} +(0.994138 - 0.108119i) q^{24} +(0.669789 + 12.3535i) q^{25} +(0.348450 - 6.42679i) q^{26} +(-0.994138 - 0.108119i) q^{27} +(-2.27498 - 1.05252i) q^{28} +(-6.09650 + 4.63444i) q^{29} +(-3.31806 + 2.52233i) q^{30} +(-5.96618 - 2.76025i) q^{31} +(0.994138 + 0.108119i) q^{32} +(-0.196533 + 3.62483i) q^{33} +(-0.319296 - 5.88907i) q^{34} +(10.3863 - 1.12958i) q^{35} +(-0.947653 - 0.319302i) q^{36} +(-1.52259 - 3.82142i) q^{37} +(1.04447 + 0.229906i) q^{38} +(-3.01478 + 5.68649i) q^{39} +(-3.78271 + 1.75007i) q^{40} +(-0.166547 + 0.0561162i) q^{41} +(1.62278 + 1.91048i) q^{42} +(9.23919 - 5.55904i) q^{43} +(-0.971170 + 3.49784i) q^{44} +(4.07049 - 0.895983i) q^{45} +(1.03809 + 1.53107i) q^{46} +(1.80147 - 1.70645i) q^{47} +(-0.856857 - 0.515554i) q^{48} +(0.115944 + 0.707224i) q^{49} +(6.94282 - 10.2399i) q^{50} +(-2.18297 + 5.47885i) q^{51} +(-4.16673 + 4.90545i) q^{52} +(-0.260988 + 1.59195i) q^{53} +(0.725995 + 0.687699i) q^{54} +(-4.04777 - 14.5788i) q^{55} +(1.17414 + 2.21466i) q^{56} +(-0.851403 - 0.647220i) q^{57} +7.65802 q^{58} +(-7.43587 - 1.92558i) q^{59} +4.16793 q^{60} +(10.4052 + 7.90986i) q^{61} +(3.07920 + 5.80799i) q^{62} +(-0.670602 - 2.41529i) q^{63} +(-0.725995 - 0.687699i) q^{64} +(4.33993 - 26.4724i) q^{65} +(2.35011 - 2.76677i) q^{66} +(-2.17915 + 5.46925i) q^{67} +(-3.30973 + 4.88148i) q^{68} +(-0.299266 - 1.82544i) q^{69} +(-8.95209 - 5.38629i) q^{70} +(-0.0417927 + 0.0395881i) q^{71} +(0.561187 + 0.827689i) q^{72} +(3.91559 - 0.861887i) q^{73} +(-1.10050 + 3.96364i) q^{74} +(-10.6008 + 6.37826i) q^{75} +(-0.692365 - 0.815115i) q^{76} +(-8.62323 + 2.90550i) q^{77} +(5.84136 - 2.70250i) q^{78} +(-5.34251 + 10.0771i) q^{79} +(4.07049 + 0.895983i) q^{80} +(-0.370138 - 0.928977i) q^{81} +(0.166547 + 0.0561162i) q^{82} +(4.18682 - 0.455344i) q^{83} +(-0.135708 - 2.50298i) q^{84} +(1.33081 - 24.5453i) q^{85} +(-10.7194 - 1.16581i) q^{86} +(-6.95023 - 3.21552i) q^{87} +(2.88994 - 2.19688i) q^{88} +(-0.511794 + 0.389056i) q^{89} +(-3.78271 - 1.75007i) q^{90} +(-16.0388 - 1.74433i) q^{91} +(0.100147 - 1.84710i) q^{92} +(-0.355896 - 6.56411i) q^{93} +(-2.46684 + 0.268285i) q^{94} +(4.22417 + 1.42329i) q^{95} +(0.370138 + 0.928977i) q^{96} +(4.40015 + 0.968547i) q^{97} +(0.335692 - 0.633182i) q^{98} +(-3.29464 + 1.52426i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9} + 2 q^{10} + 30 q^{11} - 3 q^{12} - 3 q^{13} + 7 q^{14} - 2 q^{15} - 3 q^{16} + 3 q^{17} + 3 q^{18} - 4 q^{19} - 2 q^{20} - 7 q^{21} - q^{22} + 2 q^{23} + 3 q^{24} - 67 q^{25} + 32 q^{26} - 3 q^{27} - 7 q^{28} + 4 q^{29} + 2 q^{30} - 6 q^{31} + 3 q^{32} + q^{33} + 26 q^{34} + 79 q^{35} - 3 q^{36} + 55 q^{37} + 4 q^{38} - 3 q^{39} + 2 q^{40} + q^{41} + 7 q^{42} + 51 q^{43} + q^{44} - 2 q^{45} - 31 q^{46} - 62 q^{47} - 3 q^{48} - 70 q^{49} + 9 q^{50} + 3 q^{51} - 32 q^{52} - 27 q^{53} + 3 q^{54} - 83 q^{55} + 7 q^{56} - 4 q^{57} - 120 q^{58} - 55 q^{59} + 56 q^{60} - 46 q^{61} - 23 q^{62} - 7 q^{63} - 3 q^{64} - 121 q^{65} - q^{66} + 8 q^{67} - 26 q^{68} - 27 q^{69} - 50 q^{70} - 61 q^{71} + 3 q^{72} + 49 q^{73} - 26 q^{74} - 9 q^{75} + 25 q^{76} + 77 q^{77} + 3 q^{78} - 5 q^{79} - 2 q^{80} - 3 q^{81} - q^{82} + 75 q^{83} - 7 q^{84} + 189 q^{85} + 65 q^{86} - 25 q^{87} - 30 q^{88} + 54 q^{89} + 2 q^{90} - 161 q^{91} + 2 q^{92} + 23 q^{93} + 33 q^{94} - 54 q^{95} + 3 q^{96} + 28 q^{97} + 12 q^{98} + q^{99}+O(q^{100}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9 + 2 * q^10 + 30 * q^11 - 3 * q^12 - 3 * q^13 + 7 * q^14 - 2 * q^15 - 3 * q^16 + 3 * q^17 + 3 * q^18 - 4 * q^19 - 2 * q^20 - 7 * q^21 - q^22 + 2 * q^23 + 3 * q^24 - 67 * q^25 + 32 * q^26 - 3 * q^27 - 7 * q^28 + 4 * q^29 + 2 * q^30 - 6 * q^31 + 3 * q^32 + q^33 + 26 * q^34 + 79 * q^35 - 3 * q^36 + 55 * q^37 + 4 * q^38 - 3 * q^39 + 2 * q^40 + q^41 + 7 * q^42 + 51 * q^43 + q^44 - 2 * q^45 - 31 * q^46 - 62 * q^47 - 3 * q^48 - 70 * q^49 + 9 * q^50 + 3 * q^51 - 32 * q^52 - 27 * q^53 + 3 * q^54 - 83 * q^55 + 7 * q^56 - 4 * q^57 - 120 * q^58 - 55 * q^59 + 56 * q^60 - 46 * q^61 - 23 * q^62 - 7 * q^63 - 3 * q^64 - 121 * q^65 - q^66 + 8 * q^67 - 26 * q^68 - 27 * q^69 - 50 * q^70 - 61 * q^71 + 3 * q^72 + 49 * q^73 - 26 * q^74 - 9 * q^75 + 25 * q^76 + 77 * q^77 + 3 * q^78 - 5 * q^79 - 2 * q^80 - 3 * q^81 - q^82 + 75 * q^83 - 7 * q^84 + 189 * q^85 + 65 * q^86 - 25 * q^87 - 30 * q^88 + 54 * q^89 + 2 * q^90 - 161 * q^91 + 2 * q^92 + 23 * q^93 + 33 * q^94 - 54 * q^95 + 3 * q^96 + 28 * q^97 + 12 * q^98 + q^99

Introduction

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