LMFDB - Embedded newform 483.2.q.f.64.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(64,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 12]))

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

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

chi := DirichletCharacter("483.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.q (of order $11$, degree $10$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$8$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			64.6
Character	$\chi$	$=$	483.64
Dual form			483.2.q.f.400.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.23378 + 0.362270i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(-0.291534 - 0.187358i) q^{4} +(0.256312 - 1.78269i) q^{5} +(-1.08174 + 0.695192i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(-1.97594 - 2.28036i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})$	\(q+(1.23378 + 0.362270i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(-0.291534 - 0.187358i) q^{4} +(0.256312 - 1.78269i) q^{5} +(-1.08174 + 0.695192i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(-1.97594 - 2.28036i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(0.962047 - 2.10659i) q^{10} +(1.25073 - 0.367247i) q^{11} +(0.332510 - 0.0976337i) q^{12} +(1.02427 - 2.24284i) q^{13} +(-0.182998 - 1.27278i) q^{14} +(1.17942 + 1.36112i) q^{15} +(-1.32385 - 2.89882i) q^{16} +(1.29480 - 0.832118i) q^{17} +(0.182998 - 1.27278i) q^{18} +(-4.09247 - 2.63007i) q^{19} +(-0.408724 + 0.471692i) q^{20} +(0.959493 + 0.281733i) q^{21} +1.67616 q^{22} +(0.0745129 - 4.79525i) q^{23} +3.01735 q^{24} +(1.68519 + 0.494816i) q^{25} +(2.07623 - 2.39610i) q^{26} +(0.841254 + 0.540641i) q^{27} +(-0.0493188 + 0.343020i) q^{28} +(3.37763 - 2.17067i) q^{29} +(0.962047 + 2.10659i) q^{30} +(-1.23360 - 1.42365i) q^{31} +(0.275647 + 1.91717i) q^{32} +(-0.541506 + 1.18573i) q^{33} +(1.89895 - 0.557582i) q^{34} +(-1.72806 + 0.507405i) q^{35} +(-0.143961 + 0.315231i) q^{36} +(1.47635 + 10.2682i) q^{37} +(-4.09641 - 4.72751i) q^{38} +(1.02427 + 2.24284i) q^{39} +(-4.57162 + 2.93800i) q^{40} +(-1.56184 + 10.8629i) q^{41} +(1.08174 + 0.695192i) q^{42} +(7.64015 - 8.81720i) q^{43} +(-0.433436 - 0.127268i) q^{44} -1.80102 q^{45} +(1.82911 - 5.88929i) q^{46} -8.07973 q^{47} +(3.05772 + 0.897828i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(1.89990 + 1.22099i) q^{50} +(-0.219041 + 1.52347i) q^{51} +(-0.718822 + 0.461959i) q^{52} +(2.74854 + 6.01847i) q^{53} +(0.842063 + 0.971793i) q^{54} +(-0.334110 - 2.32378i) q^{55} +(-1.25345 + 2.74468i) q^{56} +(4.66767 - 1.37055i) q^{57} +(4.95362 - 1.45451i) q^{58} +(0.697569 - 1.52746i) q^{59} +(-0.0888241 - 0.617785i) q^{60} +(-5.93998 - 6.85510i) q^{61} +(-1.00625 - 2.20337i) q^{62} +(-0.841254 + 0.540641i) q^{63} +(-1.26151 + 8.77397i) q^{64} +(-3.73574 - 2.40081i) q^{65} +(-1.09765 + 1.26676i) q^{66} +(-8.79488 - 2.58241i) q^{67} -0.533382 q^{68} +(3.57521 + 3.19654i) q^{69} -2.31587 q^{70} +(6.19218 + 1.81819i) q^{71} +(-1.97594 + 2.28036i) q^{72} +(2.01513 + 1.29504i) q^{73} +(-1.89839 + 13.2036i) q^{74} +(-1.47752 + 0.949546i) q^{75} +(0.700331 + 1.53351i) q^{76} +(-0.853630 - 0.985141i) q^{77} +(0.451209 + 3.13823i) q^{78} +(4.95900 - 10.8587i) q^{79} +(-5.50701 + 1.61700i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-5.86226 + 12.8366i) q^{82} +(1.38678 + 9.64526i) q^{83} +(-0.226940 - 0.261903i) q^{84} +(-1.15153 - 2.52150i) q^{85} +(12.6205 - 8.11068i) q^{86} +(-0.571393 + 3.97413i) q^{87} +(-3.30882 - 2.12645i) q^{88} +(-2.86840 + 3.31031i) q^{89} +(-2.22206 - 0.652456i) q^{90} -2.46565 q^{91} +(-0.920150 + 1.38402i) q^{92} +1.88376 q^{93} +(-9.96861 - 2.92705i) q^{94} +(-5.73753 + 6.62147i) q^{95} +(-1.62941 - 1.04716i) q^{96} +(1.37765 - 9.58175i) q^{97} +(-1.08174 + 0.695192i) q^{98} +(-0.541506 - 1.18573i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9}+O(q^{10}) $ 80 * q + q^2 - 8 * q^3 - 9 * q^4 + 13 * q^5 + q^6 + 8 * q^7 - 25 * q^8 - 8 * q^9	\( 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9} + 4 q^{10} + q^{11} - 9 q^{12} - 26 q^{13} - q^{14} + 2 q^{15} - 3 q^{16} - 23 q^{17} + q^{18} + 10 q^{19} + 63 q^{20} + 8 q^{21} - 9 q^{23} + 30 q^{24} - 29 q^{25} - 12 q^{26} - 8 q^{27} + 20 q^{28} + 13 q^{29} + 4 q^{30} - 27 q^{31} + 71 q^{32} + q^{33} - 45 q^{34} - 2 q^{35} - 9 q^{36} + 60 q^{37} - 2 q^{38} - 26 q^{39} + 7 q^{40} - 26 q^{41} - q^{42} + 5 q^{43} - 33 q^{44} - 20 q^{45} - 41 q^{46} + 34 q^{47} - 58 q^{48} - 8 q^{49} - 75 q^{50} - q^{51} + 108 q^{52} - 39 q^{53} - 10 q^{54} + 51 q^{55} + 3 q^{56} + 10 q^{57} + 47 q^{58} - 66 q^{59} + 19 q^{60} + 3 q^{61} + 103 q^{62} + 8 q^{63} - 25 q^{64} + 39 q^{65} - 33 q^{66} + 33 q^{67} - 88 q^{68} + 13 q^{69} + 18 q^{70} - 12 q^{71} - 25 q^{72} - 98 q^{73} + 123 q^{74} + 4 q^{75} - 41 q^{76} - 12 q^{77} + 10 q^{78} - 34 q^{79} + 163 q^{80} - 8 q^{81} + 48 q^{82} + 26 q^{83} + 9 q^{84} + 35 q^{85} + 4 q^{86} + 2 q^{87} + 178 q^{88} - 63 q^{89} + 4 q^{90} - 62 q^{91} - 39 q^{92} + 138 q^{93} - 28 q^{94} - 80 q^{95} - 17 q^{96} - 44 q^{97} + q^{98} + q^{99}+O(q^{100}) \) 80 * q + q^2 - 8 * q^3 - 9 * q^4 + 13 * q^5 + q^6 + 8 * q^7 - 25 * q^8 - 8 * q^9 + 4 * q^10 + q^11 - 9 * q^12 - 26 * q^13 - q^14 + 2 * q^15 - 3 * q^16 - 23 * q^17 + q^18 + 10 * q^19 + 63 * q^20 + 8 * q^21 - 9 * q^23 + 30 * q^24 - 29 * q^25 - 12 * q^26 - 8 * q^27 + 20 * q^28 + 13 * q^29 + 4 * q^30 - 27 * q^31 + 71 * q^32 + q^33 - 45 * q^34 - 2 * q^35 - 9 * q^36 + 60 * q^37 - 2 * q^38 - 26 * q^39 + 7 * q^40 - 26 * q^41 - q^42 + 5 * q^43 - 33 * q^44 - 20 * q^45 - 41 * q^46 + 34 * q^47 - 58 * q^48 - 8 * q^49 - 75 * q^50 - q^51 + 108 * q^52 - 39 * q^53 - 10 * q^54 + 51 * q^55 + 3 * q^56 + 10 * q^57 + 47 * q^58 - 66 * q^59 + 19 * q^60 + 3 * q^61 + 103 * q^62 + 8 * q^63 - 25 * q^64 + 39 * q^65 - 33 * q^66 + 33 * q^67 - 88 * q^68 + 13 * q^69 + 18 * q^70 - 12 * q^71 - 25 * q^72 - 98 * q^73 + 123 * q^74 + 4 * q^75 - 41 * q^76 - 12 * q^77 + 10 * q^78 - 34 * q^79 + 163 * q^80 - 8 * q^81 + 48 * q^82 + 26 * q^83 + 9 * q^84 + 35 * q^85 + 4 * q^86 + 2 * q^87 + 178 * q^88 - 63 * q^89 + 4 * q^90 - 62 * q^91 - 39 * q^92 + 138 * q^93 - 28 * q^94 - 80 * q^95 - 17 * q^96 - 44 * q^97 + q^98 + q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$1$	$e\left(\frac{6}{11}\right)$

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 $

$2$	1.23378	+	0.362270i	0.872414	+	0.256164i	0.687142	−	0.726523i	$-0.258865\pi$
$2$	1.23378	+	0.362270i	0.872414	+	0.256164i	0.185272	+	0.982687i	$0.440683\pi$
$3$	−0.654861	+	0.755750i	−0.378084	+	0.436332i
$3$	−0.654861	+	0.755750i	−0.378084	+	0.436332i
$4$	−0.291534	−	0.187358i	−0.145767	−	0.0936788i
$5$	0.256312	−	1.78269i	0.114626	−	0.797242i	−0.848694	−	0.528885i	$-0.822610\pi$
$5$	0.256312	−	1.78269i	0.114626	−	0.797242i	0.963320	−	0.268357i	$-0.0864806\pi$
$6$	−1.08174	+	0.695192i	−0.441618	+	0.283811i
$7$	−0.415415	−	0.909632i	−0.157012	−	0.343809i
$7$	−0.415415	−	0.909632i	−0.157012	−	0.343809i
$8$	−1.97594	−	2.28036i	−0.698601	−	0.806228i
$9$	−0.142315	−	0.989821i	−0.0474383	−	0.329940i
$10$	0.962047	−	2.10659i	0.304226	−	0.666162i
$11$	1.25073	−	0.367247i	0.377108	−	0.110729i	−0.0876849	−	0.996148i	$-0.527947\pi$
$11$	1.25073	−	0.367247i	0.377108	−	0.110729i	0.464793	+	0.885419i	$0.346129\pi$
$12$	0.332510	−	0.0976337i	0.0959873	−	0.0281844i
$13$	1.02427	−	2.24284i	0.284081	−	0.622051i	−0.712766	−	0.701402i	$-0.752558\pi$
$13$	1.02427	−	2.24284i	0.284081	−	0.622051i	0.996847	+	0.0793516i	$0.0252850\pi$
$14$	−0.182998	−	1.27278i	−0.0489082	−	0.340164i
$15$	1.17942	+	1.36112i	0.304524	+	0.351439i
$16$	−1.32385	−	2.89882i	−0.330962	−	0.724706i
$17$	1.29480	−	0.832118i	0.314035	−	0.201818i	−0.374123	−	0.927379i	$-0.622056\pi$
$17$	1.29480	−	0.832118i	0.314035	−	0.201818i	0.688158	+	0.725561i	$0.258420\pi$
$18$	0.182998	−	1.27278i	0.0431330	−	0.299997i
$19$	−4.09247	−	2.63007i	−0.938876	−	0.603379i	−0.0208003	−	0.999784i	$-0.506621\pi$
$19$	−4.09247	−	2.63007i	−0.938876	−	0.603379i	−0.918076	+	0.396404i	$0.870258\pi$
$20$	−0.408724	+	0.471692i	−0.0913934	+	0.105474i
$21$	0.959493	+	0.281733i	0.209379	+	0.0614791i
$22$	1.67616			0.357359
$23$	0.0745129	−	4.79525i	0.0155370	−	0.999879i
$23$	0.0745129	−	4.79525i	0.0155370	−	0.999879i
$24$	3.01735			0.615913
$25$	1.68519	+	0.494816i	0.337038	+	0.0989633i
$26$	2.07623	−	2.39610i	0.407183	−	0.469914i
$27$	0.841254	+	0.540641i	0.161899	+	0.104046i
$28$	−0.0493188	+	0.343020i	−0.00932038	+	0.0648247i
$29$	3.37763	−	2.17067i	0.627210	−	0.403083i	−0.188066	−	0.982156i	$-0.560222\pi$
$29$	3.37763	−	2.17067i	0.627210	−	0.403083i	0.815276	+	0.579073i	$0.196585\pi$
$30$	0.962047	+	2.10659i	0.175645	+	0.384609i
$31$	−1.23360	−	1.42365i	−0.221561	−	0.255695i	0.634077	−	0.773270i	$-0.281380\pi$
$31$	−1.23360	−	1.42365i	−0.221561	−	0.255695i	−0.855638	+	0.517575i	$0.826835\pi$
$32$	0.275647	+	1.91717i	0.0487279	+	0.338910i
$33$	−0.541506	+	1.18573i	−0.0942640	+	0.206409i
$34$	1.89895	−	0.557582i	0.325667	−	0.0956245i
$35$	−1.72806	+	0.507405i	−0.292096	+	0.0857672i
$36$	−0.143961	+	0.315231i	−0.0239935	+	0.0525384i
$37$	1.47635	+	10.2682i	0.242710	+	1.68809i	0.638403	+	0.769702i	$0.279595\pi$
$37$	1.47635	+	10.2682i	0.242710	+	1.68809i	−0.395693	+	0.918383i	$0.629495\pi$
$38$	−4.09641	−	4.72751i	−0.664525	−	0.766903i
$39$	1.02427	+	2.24284i	0.164014	+	0.359141i
$40$	−4.57162	+	2.93800i	−0.722837	+	0.464539i
$41$	−1.56184	+	10.8629i	−0.243919	+	1.69649i	0.388162	+	0.921591i	$0.373110\pi$
$41$	−1.56184	+	10.8629i	−0.243919	+	1.69649i	−0.632081	+	0.774903i	$0.717799\pi$
$42$	1.08174	+	0.695192i	0.166916	+	0.107270i
$43$	7.64015	−	8.81720i	1.16511	−	1.34461i	0.237355	−	0.971423i	$-0.423719\pi$
$43$	7.64015	−	8.81720i	1.16511	−	1.34461i	0.927756	−	0.373187i	$-0.121735\pi$
$44$	−0.433436	−	0.127268i	−0.0653430	−	0.0191864i
$45$	−1.80102			−0.268480
$46$	1.82911	−	5.88929i	0.269688	−	0.868329i
$47$	−8.07973			−1.17855			−0.589275	−	0.807933i	$-0.700586\pi$
$47$	−8.07973			−1.17855			−0.589275	+	0.807933i	$0.700586\pi$
$48$	3.05772	+	0.897828i	0.441344	+	0.129590i
$49$	−0.654861	+	0.755750i	−0.0935515	+	0.107964i
$50$	1.89990	+	1.22099i	0.268686	+	0.172674i
$51$	−0.219041	+	1.52347i	−0.0306719	+	0.213328i
$52$	−0.718822	+	0.461959i	−0.0996826	+	0.0640621i
$53$	2.74854	+	6.01847i	0.377541	+	0.826700i	0.999062	+	0.0433025i	$0.0137879\pi$
$53$	2.74854	+	6.01847i	0.377541	+	0.826700i	−0.621521	+	0.783398i	$0.713485\pi$
$54$	0.842063	+	0.971793i	0.114590	+	0.132244i
$55$	−0.334110	−	2.32378i	−0.0450513	−	0.313339i
$56$	−1.25345	+	2.74468i	−0.167499	+	0.366773i
$57$	4.66767	−	1.37055i	0.618248	−	0.181534i
$58$	4.95362	−	1.45451i	0.650442	−	0.190987i
$59$	0.697569	−	1.52746i	0.0908157	−	0.198859i	−0.858774	−	0.512355i	$-0.828773\pi$
$59$	0.697569	−	1.52746i	0.0908157	−	0.198859i	0.949589	+	0.313497i	$0.101500\pi$
$60$	−0.0888241	−	0.617785i	−0.0114671	−	0.0797557i
$61$	−5.93998	−	6.85510i	−0.760536	−	0.877706i	0.235009	−	0.971993i	$-0.424488\pi$
$61$	−5.93998	−	6.85510i	−0.760536	−	0.877706i	−0.995545	+	0.0942874i	$0.969943\pi$
$62$	−1.00625	−	2.20337i	−0.127793	−	0.279828i
$63$	−0.841254	+	0.540641i	−0.105988	+	0.0681143i
$64$	−1.26151	+	8.77397i	−0.157688	+	1.09675i
$65$	−3.73574	−	2.40081i	−0.463361	−	0.297784i
$66$	−1.09765	+	1.26676i	−0.135112	+	0.155927i
$67$	−8.79488	−	2.58241i	−1.07447	−	0.315491i	−0.303803	−	0.952735i	$-0.598256\pi$
$67$	−8.79488	−	2.58241i	−1.07447	−	0.315491i	−0.770662	+	0.637244i	$0.780075\pi$
$68$	−0.533382			−0.0646821
$69$	3.57521	+	3.19654i	0.430405	+	0.384818i
$70$	−2.31587			−0.276799
$71$	6.19218	+	1.81819i	0.734877	+	0.215779i	0.627694	−	0.778460i	$-0.283999\pi$
$71$	6.19218	+	1.81819i	0.734877	+	0.215779i	0.107183	+	0.994239i	$0.465817\pi$
$72$	−1.97594	+	2.28036i	−0.232867	+	0.268743i
$73$	2.01513	+	1.29504i	0.235853	+	0.151573i	0.653229	−	0.757160i	$-0.273414\pi$
$73$	2.01513	+	1.29504i	0.235853	+	0.151573i	−0.417376	+	0.908734i	$0.637050\pi$
$74$	−1.89839	+	13.2036i	−0.220683	+	1.53488i
$75$	−1.47752	+	0.949546i	−0.170610	+	0.109644i
$76$	0.700331	+	1.53351i	0.0803334	+	0.175906i
$77$	−0.853630	−	0.985141i	−0.0972802	−	0.112267i
$78$	0.451209	+	3.13823i	0.0510894	+	0.355334i
$79$	4.95900	−	10.8587i	0.557931	−	1.22170i	−0.395048	−	0.918660i	$-0.629272\pi$
$79$	4.95900	−	10.8587i	0.557931	−	1.22170i	0.952979	−	0.303037i	$-0.0980007\pi$
$80$	−5.50701	+	1.61700i	−0.615703	+	0.180787i
$81$	−0.959493	+	0.281733i	−0.106610	+	0.0313036i
$82$	−5.86226	+	12.8366i	−0.647379	+	1.41756i
$83$	1.38678	+	9.64526i	0.152219	+	1.05871i	0.912490	+	0.409099i	$0.134157\pi$
$83$	1.38678	+	9.64526i	0.152219	+	1.05871i	−0.760271	+	0.649606i	$0.774934\pi$
$84$	−0.226940	−	0.261903i	−0.0247612	−	0.0285760i
$85$	−1.15153	−	2.52150i	−0.124901	−	0.273496i
$86$	12.6205	−	8.11068i	1.36090	−	0.874597i
$87$	−0.571393	+	3.97413i	−0.0612598	+	0.426071i
$88$	−3.30882	−	2.12645i	−0.352721	−	0.226680i
$89$	−2.86840	+	3.31031i	−0.304050	+	0.350892i	−0.887128	−	0.461524i	$-0.847303\pi$
$89$	−2.86840	+	3.31031i	−0.304050	+	0.350892i	0.583078	+	0.812416i	$0.301848\pi$
$90$	−2.22206	−	0.652456i	−0.234226	−	0.0687749i
$91$	−2.46565			−0.258470
$92$	−0.920150	+	1.38402i	−0.0959323	+	0.144294i
$93$	1.88376			0.195337
$94$	−9.96861	−	2.92705i	−1.02818	−	0.301902i
$95$	−5.73753	+	6.62147i	−0.588659	+	0.679348i
$96$	−1.62941	−	1.04716i	−0.166301	−	0.106875i
$97$	1.37765	−	9.58175i	0.139879	−	0.972880i	−0.792106	−	0.610383i	$-0.791015\pi$
$97$	1.37765	−	9.58175i	0.139879	−	0.972880i	0.931985	−	0.362496i	$-0.118075\pi$
$98$	−1.08174	+	0.695192i	−0.109272	+	0.0702250i
$99$	−0.541506	−	1.18573i	−0.0544234	−	0.119171i
$100$	−0.398583	−	0.459989i	−0.0398583	−	0.0459989i
$101$	0.151718	+	1.05522i	0.0150965	+	0.104999i	0.995976	−	0.0896152i	$-0.0285637\pi$
$101$	0.151718	+	1.05522i	0.0150965	+	0.104999i	−0.980880	+	0.194614i	$0.937655\pi$
$102$	−0.822156	+	1.80027i	−0.0814055	+	0.178253i
$103$	−3.79215	+	1.11347i	−0.373651	+	0.109714i	−0.463166	−	0.886272i	$-0.653287\pi$
$103$	−3.79215	+	1.11347i	−0.373651	+	0.109714i	0.0895146	+	0.995986i	$0.471468\pi$
$104$	−7.13836	+	2.09601i	−0.699974	+	0.205531i
$105$	0.748170	−	1.63826i	0.0730139	−	0.159878i
$106$	1.21078	+	8.42118i	0.117602	+	0.817937i
$107$	7.49228	+	8.64656i	0.724307	+	0.835894i	0.991818	−	0.127660i	$-0.0407468\pi$
$107$	7.49228	+	8.64656i	0.724307	+	0.835894i	−0.267511	+	0.963555i	$0.586201\pi$
$108$	−0.143961	−	0.315231i	−0.0138527	−	0.0303331i
$109$	4.87424	−	3.13249i	0.466868	−	0.300038i	−0.285976	−	0.958237i	$-0.592318\pi$
$109$	4.87424	−	3.13249i	0.466868	−	0.300038i	0.752844	+	0.658199i	$0.228681\pi$
$110$	0.429620	−	2.98808i	0.0409627	−	0.284902i
$111$	−8.72701	−	5.60851i	−0.828331	−	0.532336i
$112$	−2.08692	+	2.40843i	−0.197195	+	0.227575i
$113$	17.7966	+	5.22554i	1.67416	+	0.491577i	0.974779	−	0.223172i	$-0.0716413\pi$
$113$	17.7966	+	5.22554i	1.67416	+	0.491577i	0.699380	+	0.714750i	$0.253459\pi$
$114$	6.25539			0.585871
$115$	−8.52933	−	1.36191i	−0.795364	−	0.126999i
$116$	−1.39139			−0.129187
$117$	−2.36577	−	0.694654i	−0.218716	−	0.0642208i
$118$	1.41400	−	1.63184i	0.130169	−	0.150223i
$119$	−1.29480	−	0.832118i	−0.118694	−	0.0762801i
$120$	0.773381	−	5.37898i	0.0705997	−	0.491032i
$121$	−7.82434	+	5.02840i	−0.711304	+	0.457127i
$122$	−4.84523	−	10.6096i	−0.438666	−	0.960545i
$123$	−7.18681	−	8.29402i	−0.648013	−	0.747847i
$124$	0.0929049	+	0.646168i	0.00834311	+	0.0580276i
$125$	5.05489	−	11.0687i	0.452123	−	0.990011i
$126$	−1.23378	+	0.362270i	−0.109914	+	0.0322736i
$127$	4.58878	−	1.34739i	0.407188	−	0.119561i	−0.0717231	−	0.997425i	$-0.522850\pi$
$127$	4.58878	−	1.34739i	0.407188	−	0.119561i	0.478911	+	0.877863i	$0.341032\pi$
$128$	−3.12575	+	6.84444i	−0.276280	+	0.604969i
$129$	1.66036	+	11.5481i	0.146187	+	1.01675i
$130$	−3.73934	−	4.31542i	−0.327961	−	0.378488i
$131$	3.06949	+	6.72125i	0.268183	+	0.587238i	0.995032	−	0.0995592i	$-0.0317433\pi$
$131$	3.06949	+	6.72125i	0.268183	+	0.587238i	−0.726849	+	0.686797i	$0.759016\pi$
$132$	0.380023	−	0.244226i	0.0330768	−	0.0212572i
$133$	−0.692323	+	4.81521i	−0.0600320	+	0.417532i
$134$	−9.91541	−	6.37225i	−0.856561	−	0.550478i
$135$	1.17942	−	1.36112i	0.101508	−	0.117146i
$136$	−4.45598	−	1.30839i	−0.382097	−	0.112194i
$137$	−1.37688			−0.117635			−0.0588175	−	0.998269i	$-0.518733\pi$
$137$	−1.37688			−0.117635			−0.0588175	+	0.998269i	$0.518733\pi$
$138$	3.25302	+	5.23902i	0.276915	+	0.445975i
$139$	17.9561			1.52302			0.761509	−	0.648154i	$-0.224459\pi$
$139$	17.9561			1.52302			0.761509	+	0.648154i	$0.224459\pi$
$140$	0.598856	+	0.175840i	0.0506126	+	0.0148612i
$141$	5.29110	−	6.10625i	0.445591	−	0.514239i
$142$	6.98111	+	4.48649i	0.585842	+	0.376498i
$143$	0.457407	−	3.18133i	0.0382503	−	0.266036i
$144$	−2.68092	+	1.72292i	−0.223410	+	0.143577i
$145$	−3.00390	−	6.57762i	−0.249460	−	0.546242i
$146$	2.01707	+	2.32782i	0.166934	+	0.192652i
$147$	−0.142315	−	0.989821i	−0.0117379	−	0.0816391i
$148$	1.49342	−	3.27014i	0.122759	−	0.268804i
$149$	21.5691	−	6.33327i	1.76701	−	0.518841i	0.773623	−	0.633646i	$-0.218442\pi$
$149$	21.5691	−	6.33327i	1.76701	−	0.518841i	0.993388	+	0.114804i	$0.0366241\pi$
$150$	−2.16693	+	0.636268i	−0.176929	+	0.0519511i
$151$	6.31829	−	13.8351i	0.514175	−	1.12589i	−0.457423	−	0.889249i	$-0.651228\pi$
$151$	6.31829	−	13.8351i	0.514175	−	1.12589i	0.971598	−	0.236637i	$-0.0760452\pi$
$152$	2.08898	+	14.5292i	0.169438	+	1.17847i
$153$	−1.00792	−	1.16320i	−0.0814853	−	0.0940390i
$154$	−0.696304	−	1.52469i	−0.0561098	−	0.122863i
$155$	−2.85411	+	1.83423i	−0.229248	+	0.147329i
$156$	0.121603	−	0.845768i	0.00973604	−	0.0677156i
$157$	8.32285	+	5.34877i	0.664236	+	0.426879i	0.828843	−	0.559481i	$-0.188999\pi$
$157$	8.32285	+	5.34877i	0.664236	+	0.426879i	−0.164608	+	0.986359i	$0.552636\pi$
$158$	10.0521	−	11.6007i	0.799701	−	0.922905i
$159$	−6.34837	−	1.86405i	−0.503458	−	0.147829i
$160$	3.48836			0.275779
$161$	−4.39287	+	1.92424i	−0.346207	+	0.151651i
$162$	−1.28587			−0.101027
$163$	−11.5564	−	3.39328i	−0.905170	−	0.265782i	−0.204163	−	0.978937i	$-0.565447\pi$
$163$	−11.5564	−	3.39328i	−0.905170	−	0.265782i	−0.701006	+	0.713155i	$0.747266\pi$
$164$	2.49057	−	2.87427i	0.194481	−	0.224443i
$165$	1.97499	+	1.26925i	0.153753	+	0.0988111i
$166$	−1.78321	+	12.4025i	−0.138404	+	0.962622i
$167$	−6.02132	+	3.86967i	−0.465944	+	0.299444i	−0.752468	−	0.658629i	$-0.771137\pi$
$167$	−6.02132	+	3.86967i	−0.465944	+	0.299444i	0.286524	+	0.958073i	$0.407500\pi$
$168$	−1.25345	−	2.74468i	−0.0967059	−	0.211756i
$169$	4.53201	+	5.23021i	0.348616	+	0.402324i
$170$	−0.507271	−	3.52815i	−0.0389059	−	0.270597i
$171$	−2.02088	+	4.42511i	−0.154541	+	0.338397i
$172$	−3.87933	+	1.13908i	−0.295796	+	0.0868537i
$173$	3.84005	−	1.12754i	0.291954	−	0.0857254i	−0.132476	−	0.991186i	$-0.542293\pi$
$173$	3.84005	−	1.12754i	0.291954	−	0.0857254i	0.424430	+	0.905461i	$0.360475\pi$
$174$	−2.14468	+	4.69620i	−0.162588	+	0.356018i
$175$	−0.249952	−	1.73846i	−0.0188946	−	0.131415i
$176$	−2.72036	−	3.13946i	−0.205055	−	0.236646i
$177$	0.697569	+	1.52746i	0.0524325	+	0.114811i
$178$	−4.73820	+	3.04506i	−0.355143	+	0.228237i
$179$	−0.845441	+	5.88017i	−0.0631913	+	0.439505i	0.933524	+	0.358516i	$0.116717\pi$
$179$	−0.845441	+	5.88017i	−0.0631913	+	0.439505i	−0.996715	+	0.0809892i	$0.974192\pi$
$180$	0.525058	+	0.337435i	0.0391355	+	0.0251509i
$181$	6.40292	−	7.38936i	0.475925	−	0.549247i	−0.466125	−	0.884719i	$-0.654350\pi$
$181$	6.40292	−	7.38936i	0.475925	−	0.549247i	0.942050	+	0.335472i	$0.108896\pi$
$182$	−3.04207	−	0.893233i	−0.225493	−	0.0662108i
$183$	9.07060			0.670518
$184$	−11.0821	+	9.30522i	−0.816985	+	0.685990i
$185$	18.6834			1.37363
$186$	2.32415	+	0.682431i	0.170415	+	0.0500383i
$187$	1.31385	−	1.51626i	0.0960782	−	0.110880i
$188$	2.35552	+	1.51380i	0.171794	+	0.110405i
$189$	0.142315	−	0.989821i	0.0103519	−	0.0719989i
$190$	−9.47762	+	6.09089i	−0.687579	+	0.441880i
$191$	5.83314	+	12.7728i	0.422071	+	0.924206i	0.994547	+	0.104285i	$0.0332555\pi$
$191$	5.83314	+	12.7728i	0.422071	+	0.924206i	−0.572476	+	0.819921i	$0.694017\pi$
$192$	−5.80481	−	6.69911i	−0.418926	−	0.483466i
$193$	−1.93111	−	13.4312i	−0.139004	−	0.966797i	−0.933257	−	0.359209i	$-0.883046\pi$
$193$	−1.93111	−	13.4312i	−0.139004	−	0.966797i	0.794253	−	0.607588i	$-0.207863\pi$
$194$	5.17090	−	11.3227i	0.371249	−	0.812922i
$195$	4.26080	−	1.25108i	0.305122	−	0.0895920i
$196$	0.332510	−	0.0976337i	0.0237507	−	0.00697383i
$197$	−10.5415	+	23.0827i	−0.751052	+	1.64457i	0.0134140	+	0.999910i	$0.495730\pi$
$197$	−10.5415	+	23.0827i	−0.751052	+	1.64457i	−0.764466	+	0.644664i	$0.776997\pi$
$198$	−0.238543	−	1.65910i	−0.0169525	−	0.117907i
$199$	−0.416995	−	0.481238i	−0.0295600	−	0.0341141i	0.740777	−	0.671751i	$-0.234457\pi$
$199$	−0.416995	−	0.481238i	−0.0295600	−	0.0341141i	−0.770337	+	0.637637i	$0.779912\pi$
$200$	−2.20148	−	4.82057i	−0.155668	−	0.340865i
$201$	7.71107	−	4.95561i	0.543897	−	0.349541i
$202$	−0.195089	+	1.35688i	−0.0137264	+	0.0954694i
$203$	−3.37763	−	2.17067i	−0.237063	−	0.152351i
$204$	0.349291	−	0.403103i	0.0244553	−	0.0282229i
$205$	18.9648	+	5.56855i	1.32456	+	0.388925i
$206$	−5.08205			−0.354084
$207$	−4.75705	+	0.608681i	−0.330638	+	0.0423063i
$208$	−7.85756			−0.544824
$209$	−6.08444	−	1.78655i	−0.420870	−	0.123578i
$210$	1.51657	−	1.75022i	0.104653	−	0.120776i
$211$	−8.23774	−	5.29407i	−0.567109	−	0.364459i	0.225449	−	0.974255i	$-0.427615\pi$
$211$	−8.23774	−	5.29407i	−0.567109	−	0.364459i	−0.792558	+	0.609796i	$0.791251\pi$
$212$	0.326312	−	2.26955i	0.0224112	−	0.155873i
$213$	−5.42911	+	3.48908i	−0.371997	+	0.239068i
$214$	6.11144	+	13.3822i	0.417769	+	0.914787i
$215$	−13.7600	−	15.8799i	−0.938427	−	1.08300i
$216$	−0.429413	−	2.98663i	−0.0292179	−	0.203215i
$217$	−0.782543	+	1.71353i	−0.0531225	+	0.116322i
$218$	7.14855	−	2.09900i	0.484161	−	0.142163i
$219$	−2.29836	+	0.674859i	−0.155309	+	0.0456027i
$220$	−0.337974	+	0.740060i	−0.0227862	+	0.0498949i
$221$	−0.540080	−	3.75634i	−0.0363297	−	0.252678i
$222$	−8.73541	−	10.0812i	−0.586282	−	0.676606i
$223$	−7.74672	−	16.9630i	−0.518759	−	1.13592i	−0.969907	−	0.243475i	$-0.921713\pi$
$223$	−7.74672	−	16.9630i	−0.518759	−	1.13592i	0.451148	−	0.892449i	$-0.351015\pi$
$224$	1.62941	−	1.04716i	0.108869	−	0.0699661i
$225$	0.249952	−	1.73846i	0.0166635	−	0.115897i
$226$	20.0640	+	12.8943i	1.33464	+	0.857718i
$227$	−4.27338	+	4.93174i	−0.283634	+	0.327331i	−0.879632	−	0.475655i	$-0.842211\pi$
$227$	−4.27338	+	4.93174i	−0.283634	+	0.327331i	0.595998	+	0.802986i	$0.296757\pi$
$228$	−1.61757	−	0.474961i	−0.107126	−	0.0314551i
$229$	14.8934			0.984184			0.492092	−	0.870543i	$-0.336232\pi$
$229$	14.8934			0.984184			0.492092	+	0.870543i	$0.336232\pi$
$230$	−10.0299	−	4.77022i	−0.661355	−	0.314539i
$231$	1.30353			0.0857659
$232$	−11.6239	−	3.41309i	−0.763147	−	0.224080i
$233$	3.27465	−	3.77915i	0.214530	−	0.247580i	−0.638278	−	0.769806i	$-0.720353\pi$
$233$	3.27465	−	3.77915i	0.214530	−	0.247580i	0.852807	+	0.522226i	$0.174898\pi$
$234$	−2.66719	−	1.71410i	−0.174360	−	0.112054i
$235$	−2.07093	+	14.4036i	−0.135092	+	0.939589i
$236$	−0.489547	+	0.314613i	−0.0318668	+	0.0204795i
$237$	4.95900	+	10.8587i	0.322121	+	0.705347i
$238$	−1.29605	−	1.49572i	−0.0840102	−	0.0969530i
$239$	−0.942244	−	6.55345i	−0.0609487	−	0.423907i	−0.997336	−	0.0729399i	$-0.976762\pi$
$239$	−0.942244	−	6.55345i	−0.0609487	−	0.423907i	0.936388	−	0.350967i	$-0.114147\pi$
$240$	2.38428	−	5.22084i	0.153904	−	0.337003i
$241$	9.74996	−	2.86285i	0.628050	−	0.184412i	0.0478085	−	0.998857i	$-0.484776\pi$
$241$	9.74996	−	2.86285i	0.628050	−	0.184412i	0.580242	+	0.814444i	$0.302958\pi$
$242$	−11.4752	+	3.36941i	−0.737651	+	0.216594i
$243$	0.415415	−	0.909632i	0.0266489	−	0.0583529i
$244$	0.447351	+	3.11140i	0.0286387	+	0.199187i
$245$	1.17942	+	1.36112i	0.0753501	+	0.0869587i
$246$	−5.86226	−	12.8366i	−0.373764	−	0.818430i
$247$	−10.0906	+	6.48483i	−0.642049	+	0.412620i
$248$	−0.808912	+	5.62611i	−0.0513660	+	0.357258i
$249$	−8.19755	−	5.26825i	−0.519499	−	0.333862i
$250$	10.2465	−	11.8250i	0.648043	−	0.747882i
$251$	5.08657	+	1.49355i	0.321061	+	0.0942721i	0.438292	−	0.898833i	$-0.355584\pi$
$251$	5.08657	+	1.49355i	0.321061	+	0.0942721i	−0.117231	+	0.993105i	$0.537402\pi$
$252$	0.346547			0.0218304
$253$	−1.66784	−	6.02492i	−0.104856	−	0.378783i
$254$	6.14966			0.385864
$255$	2.65972	+	0.780964i	0.166558	+	0.0489059i
$256$	5.27360	−	6.08605i	0.329600	−	0.380378i
$257$	−19.9511	−	12.8218i	−1.24452	−	0.799802i	−0.258430	−	0.966030i	$-0.583205\pi$
$257$	−19.9511	−	12.8218i	−1.24452	−	0.799802i	−0.986087	+	0.166228i	$0.946841\pi$
$258$	−2.13500	+	14.8493i	−0.132920	+	0.924476i
$259$	8.72701	−	5.60851i	0.542270	−	0.348496i
$260$	0.639285	+	1.39984i	0.0396468	+	0.0868143i
$261$	−2.62926	−	3.03433i	−0.162747	−	0.187820i
$262$	1.35217	+	9.40453i	0.0835371	+	0.581014i
$263$	0.0908545	−	0.198944i	0.00560233	−	0.0122674i	−0.906810	−	0.421539i	$-0.861490\pi$
$263$	0.0908545	−	0.198944i	0.00560233	−	0.0122674i	0.912412	+	0.409272i	$0.134217\pi$
$264$	3.77388	−	1.10811i	0.232266	−	0.0681995i
$265$	11.4335	−	3.35719i	0.702356	−	0.206230i
$266$	−2.59858	+	5.69010i	−0.159329	+	0.348882i
$267$	−0.623363	−	4.33558i	−0.0381492	−	0.265333i
$268$	2.08017	+	2.40065i	0.127067	+	0.146643i
$269$	−3.88541	−	8.50786i	−0.236897	−	0.518733i	0.753422	−	0.657537i	$-0.228402\pi$
$269$	−3.88541	−	8.50786i	−0.236897	−	0.518733i	−0.990320	+	0.138804i	$0.955674\pi$
$270$	1.94823	−	1.25205i	0.118566	−	0.0761975i
$271$	−3.40953	+	23.7138i	−0.207114	+	1.44051i	0.575396	+	0.817875i	$0.304848\pi$
$271$	−3.40953	+	23.7138i	−0.207114	+	1.44051i	−0.782510	+	0.622638i	$0.786061\pi$
$272$	−4.12628	−	2.65180i	−0.250193	−	0.160789i
$273$	1.61466	−	1.86341i	0.0977236	−	0.112779i
$274$	−1.69877	−	0.498804i	−0.102626	−	0.0301338i
$275$	2.28943			0.138058
$276$	−0.443402	−	1.60174i	−0.0266897	−	0.0964136i
$277$	−12.1143			−0.727880			−0.363940	−	0.931422i	$-0.618569\pi$
$277$	−12.1143			−0.727880			−0.363940	+	0.931422i	$0.618569\pi$
$278$	22.1539	+	6.50497i	1.32870	+	0.390142i
$279$	−1.23360	+	1.42365i	−0.0738538	+	0.0852318i
$280$	4.57162	+	2.93800i	0.273207	+	0.175579i
$281$	−1.80589	+	12.5602i	−0.107730	+	0.749280i	0.862318	+	0.506367i	$0.169012\pi$
$281$	−1.80589	+	12.5602i	−0.107730	+	0.749280i	−0.970048	+	0.242913i	$0.921897\pi$
$282$	8.74016	−	5.61696i	0.520469	−	0.334485i
$283$	3.22477	+	7.06125i	0.191692	+	0.419748i	0.980936	−	0.194333i	$-0.0622542\pi$
$283$	3.22477	+	7.06125i	0.191692	+	0.419748i	−0.789243	+	0.614081i	$0.789527\pi$
$284$	−1.46458	−	1.69022i	−0.0869069	−	0.100296i
$285$	−1.24689	−	8.67228i	−0.0738591	−	0.513701i
$286$	1.71684	−	3.75936i	0.101519	−	0.222296i
$287$	10.5300	−	3.09189i	0.621567	−	0.182509i
$288$	1.85842	−	0.545682i	0.109509	−	0.0321546i
$289$	−6.07797	+	13.3089i	−0.357527	+	0.782876i
$290$	−1.32327	−	9.20356i	−0.0777052	−	0.540452i
$291$	6.33924	+	7.31587i	0.371613	+	0.428864i
$292$	−0.344842	−	0.755099i	−0.0201804	−	0.0441888i
$293$	7.41047	−	4.76242i	0.432924	−	0.278224i	−0.305975	−	0.952040i	$-0.598982\pi$
$293$	7.41047	−	4.76242i	0.432924	−	0.278224i	0.738899	+	0.673816i	$0.235346\pi$
$294$	0.182998	−	1.27278i	0.0106727	−	0.0742299i
$295$	−2.54419	−	1.63505i	−0.148129	−	0.0951964i
$296$	20.4981	−	23.6560i	1.19143	−	1.37498i
$297$	1.25073	+	0.367247i	0.0725745	+	0.0213098i
$298$	28.9059			1.67447
$299$	−10.6786	−	5.07875i	−0.617562	−	0.293711i
$300$	0.608653			0.0351406
$301$	−11.1942	−	3.28692i	−0.645225	−	0.189455i
$302$	12.8074	−	14.7806i	0.736985	−	0.850526i
$303$	−0.896838	−	0.576363i	−0.0515220	−	0.0331112i
$304$	−2.20630	+	15.3452i	−0.126540	+	0.880105i
$305$	−13.7430	+	8.83208i	−0.786921	+	0.505723i
$306$	−0.822156	−	1.80027i	−0.0469995	−	0.102915i
$307$	−4.66275	−	5.38110i	−0.266117	−	0.307115i	0.606926	−	0.794758i	$-0.292402\pi$
$307$	−4.66275	−	5.38110i	−0.266117	−	0.307115i	−0.873043	+	0.487643i	$0.837857\pi$
$308$	0.0642885	+	0.447137i	0.00366318	+	0.0254780i
$309$	1.64182	−	3.59508i	0.0933999	−	0.204517i
$310$	−4.18583	+	1.22907i	−0.237739	+	0.0698065i
$311$	8.18544	−	2.40346i	0.464153	−	0.136288i	−0.0412905	−	0.999147i	$-0.513147\pi$
$311$	8.18544	−	2.40346i	0.464153	−	0.136288i	0.505444	+	0.862859i	$0.331329\pi$
$312$	3.09057	−	6.76741i	0.174969	−	0.383129i
$313$	−0.585011	−	4.06884i	−0.0330668	−	0.229985i	0.966586	−	0.256344i	$-0.0825178\pi$
$313$	−0.585011	−	4.06884i	−0.0330668	−	0.229985i	−0.999653	+	0.0263589i	$0.991609\pi$
$314$	8.33087	+	9.61433i	0.470138	+	0.542568i
$315$	0.748170	+	1.63826i	0.0421546	+	0.0923057i
$316$	−3.48017	+	2.23657i	−0.195775	+	0.125817i
$317$	2.20763	−	15.3544i	0.123993	−	0.862388i	−0.828968	−	0.559296i	$-0.811072\pi$
$317$	2.20763	−	15.3544i	0.123993	−	0.862388i	0.952961	−	0.303093i	$-0.0980192\pi$
$318$	−7.15720	−	4.59965i	−0.401356	−	0.257936i
$319$	3.42732	−	3.95534i	0.191893	−	0.221456i
$320$	15.3179	+	4.49774i	0.856296	+	0.251431i
$321$	−11.4410			−0.638576
$322$	−6.11693	+	0.782683i	−0.340883	+	0.0436172i
$323$	−7.48745			−0.416613
$324$	0.332510	+	0.0976337i	0.0184728	+	0.00542409i
$325$	2.83588	−	3.27278i	0.157306	−	0.181541i
$326$	−13.0288	−	8.37311i	−0.721599	−	0.463744i
$327$	−0.824576	+	5.73505i	−0.0455991	+	0.317149i
$328$	27.8573	−	17.9028i	1.53816	−	0.988518i
$329$	3.35644	+	7.34958i	0.185047	+	0.405195i
$330$	1.97689	+	2.28146i	0.108824	+	0.125590i
$331$	−2.77260	−	19.2838i	−0.152396	−	1.05993i	−0.912189	−	0.409770i	$-0.865609\pi$
$331$	−2.77260	−	19.2838i	−0.152396	−	1.05993i	0.759793	−	0.650165i	$-0.225300\pi$
$332$	1.40282	−	3.07175i	0.0769898	−	0.168584i
$333$	9.95360	−	2.92264i	0.545454	−	0.160160i
$334$	−8.83085	+	2.59297i	−0.483203	+	0.141881i
$335$	−6.85785	+	15.0166i	−0.374685	+	0.820445i
$336$	−0.453530	−	3.15437i	−0.0247421	−	0.172085i
$337$	4.54663	+	5.24709i	0.247671	+	0.285827i	0.865949	−	0.500132i	$-0.166715\pi$
$337$	4.54663	+	5.24709i	0.247671	+	0.285827i	−0.618279	+	0.785959i	$0.712170\pi$
$338$	3.69675	+	8.09474i	0.201076	+	0.440296i
$339$	−15.6035	+	10.0277i	−0.847464	+	0.544632i
$340$	−0.136712	+	0.950853i	−0.00741425	+	0.0515673i
$341$	−2.06573	−	1.32756i	−0.111866	−	0.0718916i
$342$	−4.09641	+	4.72751i	−0.221508	+	0.255634i
$343$	0.959493	+	0.281733i	0.0518078	+	0.0152121i
$344$	−35.2029			−1.89801
$345$	6.61479	−	5.55418i	0.356128	−	0.299027i
$346$	5.14626			0.276664
$347$	−19.4864	−	5.72172i	−1.04608	−	0.307158i	−0.286849	−	0.957976i	$-0.592608\pi$
$347$	−19.4864	−	5.72172i	−1.04608	−	0.307158i	−0.759234	+	0.650818i	$0.774426\pi$
$348$	0.911164	−	1.05154i	0.0488435	−	0.0563684i
$349$	27.2676	+	17.5238i	1.45960	+	0.938028i	0.998721	+	0.0505661i	$0.0161026\pi$
$349$	27.2676	+	17.5238i	1.45960	+	0.938028i	0.460880	+	0.887462i	$0.347534\pi$
$350$	0.321405	−	2.23542i	0.0171798	−	0.119488i
$351$	2.07424	−	1.33303i	0.110715	−	0.0711520i
$352$	1.04883	+	2.29662i	0.0559029	+	0.122410i
$353$	−18.8381	−	21.7403i	−1.00265	−	1.15712i	−0.987561	−	0.157233i	$-0.949742\pi$
$353$	−18.8381	−	21.7403i	−1.00265	−	1.15712i	−0.0150884	−	0.999886i	$-0.504803\pi$
$354$	0.307292	+	2.13726i	0.0163324	+	0.113594i
$355$	4.82839	−	10.5727i	0.256264	−	0.561140i
$356$	1.45645	−	0.427652i	0.0771916	−	0.0226655i
$357$	1.47679	−	0.433624i	0.0781598	−	0.0229498i
$358$	−3.17330	+	6.94856i	−0.167714	+	0.367243i
$359$	−2.01268	−	13.9985i	−0.106225	−	0.738811i	−0.971419	−	0.237373i	$-0.923714\pi$
$359$	−2.01268	−	13.9985i	−0.106225	−	0.738811i	0.865194	−	0.501438i	$-0.167196\pi$
$360$	3.55871	+	4.10697i	0.187560	+	0.216456i
$361$	1.93814	+	4.24393i	0.102007	+	0.223365i
$362$	10.5767	−	6.79726i	0.555901	−	0.357256i
$363$	1.32364	−	9.20614i	0.0694733	−	0.483197i
$364$	0.718822	+	0.461959i	0.0376765	+	0.0242132i
$365$	2.82516	−	3.26041i	0.147876	−	0.170657i
$366$	11.1911	+	3.28601i	0.584969	+	0.171763i
$367$	4.37310			0.228274			0.114137	−	0.993465i	$-0.463590\pi$
$367$	4.37310			0.228274			0.114137	+	0.993465i	$0.463590\pi$
$368$	−13.9992	+	6.13219i	−0.729761	+	0.319662i
$369$	10.9746			0.571313
$370$	23.0512	+	6.76845i	1.19838	+	0.351875i
$371$	4.33281	−	5.00032i	0.224948	−	0.259604i
$372$	−0.549181	−	0.352937i	−0.0284737	−	0.0182989i
$373$	2.21132	−	15.3801i	0.114498	−	0.796349i	−0.848954	−	0.528467i	$-0.822767\pi$
$373$	2.21132	−	15.3801i	0.114498	−	0.796349i	0.963452	−	0.267882i	$-0.0863238\pi$
$374$	2.17030	−	1.39477i	0.112223	−	0.0721216i
$375$	5.05489	+	11.0687i	0.261033	+	0.571583i
$376$	15.9651	+	18.4247i	0.823336	+	0.950180i
$377$	−1.40886	−	9.79881i	−0.0725598	−	0.504665i
$378$	0.534168	−	1.16967i	0.0274746	−	0.0601611i
$379$	−19.5504	+	5.74051i	−1.00424	+	0.294870i	−0.742193	−	0.670186i	$-0.766214\pi$
$379$	−19.5504	+	5.74051i	−1.00424	+	0.294870i	−0.262043	+	0.965056i	$0.584396\pi$
$380$	2.91327	−	0.855413i	0.149448	−	0.0438818i
$381$	−1.98672	+	4.35032i	−0.101783	+	0.222873i
$382$	2.56960	+	17.8720i	0.131472	+	0.914410i
$383$	−14.0573	−	16.2230i	−0.718295	−	0.828957i	0.272806	−	0.962069i	$-0.412048\pi$
$383$	−14.0573	−	16.2230i	−0.718295	−	0.828957i	−0.991101	+	0.133112i	$0.957503\pi$
$384$	−3.12575	−	6.84444i	−0.159510	−	0.349279i
$385$	−1.97499	+	1.26925i	−0.100655	+	0.0646870i
$386$	2.48315	−	17.2707i	0.126389	−	0.879055i
$387$	−9.81476	−	6.30756i	−0.498912	−	0.320631i
$388$	−2.19685	+	2.53530i	−0.111528	+	0.128710i
$389$	−10.4998	−	3.08301i	−0.532359	−	0.156315i	0.00449476	−	0.999990i	$-0.498569\pi$
$389$	−10.4998	−	3.08301i	−0.532359	−	0.156315i	−0.536854	+	0.843675i	$0.680387\pi$
$390$	5.71012			0.289143
$391$	−3.89374	−	6.27090i	−0.196915	−	0.317133i
$392$	3.01735			0.152399
$393$	−7.08967	−	2.08171i	−0.357627	−	0.105009i
$394$	−21.3681	+	24.6601i	−1.07651	+	1.24236i
$395$	−18.0866	−	11.6235i	−0.910035	−	0.584844i
$396$	−0.0642885	+	0.447137i	−0.00323062	+	0.0224695i
$397$	−31.1001	+	19.9868i	−1.56087	+	1.00311i	−0.578603	+	0.815610i	$0.696402\pi$
$397$	−31.1001	+	19.9868i	−1.56087	+	1.00311i	−0.982265	+	0.187499i	$0.939962\pi$
$398$	−0.340142	−	0.744807i	−0.0170498	−	0.0373338i
$399$	−3.18572	−	3.67651i	−0.159485	−	0.184056i
$400$	−0.796551	−	5.54013i	−0.0398275	−	0.277007i
$401$	0.588264	−	1.28812i	0.0293765	−	0.0643256i	−0.894375	−	0.447318i	$-0.852379\pi$
$401$	0.588264	−	1.28812i	0.0293765	−	0.0643256i	0.923751	+	0.382992i	$0.125106\pi$
$402$	11.3090	−	3.32063i	0.564043	−	0.165618i
$403$	−4.45656	+	1.30856i	−0.221997	+	0.0651842i
$404$	0.153473	−	0.336059i	0.00763557	−	0.0167196i
$405$	0.256312	+	1.78269i	0.0127362	+	0.0885824i
$406$	−3.38088	−	3.90174i	−0.167790	−	0.193640i
$407$	5.61748	+	12.3006i	0.278448	+	0.609716i
$408$	3.90686	−	2.51079i	0.193418	−	0.124303i
$409$	−4.21787	+	29.3359i	−0.208560	+	1.45057i	0.569299	+	0.822130i	$0.307215\pi$
$409$	−4.21787	+	29.3359i	−0.208560	+	1.45057i	−0.777859	+	0.628438i	$0.783694\pi$
$410$	21.3810	+	13.7407i	1.05593	+	0.678607i
$411$	0.901666	−	1.04058i	0.0444759	−	0.0513279i
$412$	1.31416	+	0.385872i	0.0647440	+	0.0190105i
$413$	−1.67921			−0.0826285
$414$	−6.08966	−	0.972360i	−0.299290	−	0.0477889i
$415$	17.5499			0.861492
$416$	4.58222	+	1.34546i	0.224662	+	0.0659667i
$417$	−11.7588	+	13.5703i	−0.575829	+	0.664542i
$418$	−6.85965	−	4.40843i	−0.335516	−	0.215623i
$419$	−1.47393	+	10.2514i	−0.0720063	+	0.500815i	0.921620	+	0.388093i	$0.126866\pi$
$419$	−1.47393	+	10.2514i	−0.0720063	+	0.500815i	−0.993627	+	0.112722i	$0.964043\pi$
$420$	−0.525058	+	0.337435i	−0.0256202	+	0.0164651i
$421$	9.51205	+	20.8285i	0.463589	+	1.01512i	0.986655	+	0.162826i	$0.0520608\pi$
$421$	9.51205	+	20.8285i	0.463589	+	1.01512i	−0.523066	+	0.852292i	$0.675212\pi$
$422$	−8.24567	−	9.51601i	−0.401393	−	0.463232i
$423$	1.14987	+	7.99749i	0.0559084	+	0.388851i
$424$	8.29331	−	18.1598i	0.402759	−	0.881918i
$425$	2.59373	−	0.761588i	0.125814	−	0.0369424i
$426$	−7.96232	+	2.33795i	−0.385776	+	0.113274i
$427$	−3.76806	+	8.25091i	−0.182349	+	0.399289i
$428$	−0.564259	−	3.92450i	−0.0272745	−	0.189698i
$429$	2.10475	+	2.42902i	0.101618	+	0.117274i
$430$	−11.2240	−	24.5772i	−0.541271	−	1.18522i
$431$	4.28445	−	2.75345i	0.206375	−	0.132629i	−0.433371	−	0.901216i	$-0.642676\pi$
$431$	4.28445	−	2.75345i	0.206375	−	0.132629i	0.639746	+	0.768587i	$0.279040\pi$
$432$	0.453530	−	3.15437i	0.0218205	−	0.151765i
$433$	−16.9462	−	10.8907i	−0.814384	−	0.523373i	0.0658966	−	0.997826i	$-0.479009\pi$
$433$	−16.9462	−	10.8907i	−0.814384	−	0.523373i	−0.880280	+	0.474454i	$0.842646\pi$
$434$	−1.58625	+	1.83063i	−0.0761423	+	0.0878729i
$435$	6.93817	+	2.03723i	0.332660	+	0.0976777i
$436$	−2.00790			−0.0961612
$437$	−12.9168	+	19.4284i	−0.617894	+	0.929388i
$438$	−3.08015			−0.147175
$439$	2.16924	+	0.636945i	0.103532	+	0.0303997i	0.333088	−	0.942896i	$-0.391909\pi$
$439$	2.16924	+	0.636945i	0.103532	+	0.0303997i	−0.229556	+	0.973295i	$0.573727\pi$
$440$	−4.63888	+	5.35355i	−0.221150	+	0.255220i
$441$	0.841254	+	0.540641i	0.0400597	+	0.0257448i
$442$	0.694470	−	4.83015i	0.0330326	−	0.229747i
$443$	−21.3490	+	13.7201i	−1.01432	+	0.651864i	−0.938508	−	0.345258i	$-0.887791\pi$
$443$	−21.3490	+	13.7201i	−1.01432	+	0.651864i	−0.0758123	+	0.997122i	$0.524155\pi$
$444$	1.49342	+	3.27014i	0.0708748	+	0.155194i
$445$	5.16604	+	5.96193i	0.244894	+	0.282622i
$446$	−3.41257	−	23.7350i	−0.161590	−	1.12388i
$447$	−9.33841	+	20.4483i	−0.441692	+	0.967170i
$448$	8.50513	−	2.49733i	0.401830	−	0.117988i
$449$	−15.0439	+	4.41728i	−0.709965	+	0.208465i	−0.616725	−	0.787179i	$-0.711541\pi$
$449$	−15.0439	+	4.41728i	−0.709965	+	0.208465i	−0.0932406	+	0.995644i	$0.529723\pi$
$450$	0.938178	−	2.05432i	0.0442261	−	0.0968417i
$451$	2.03591	+	14.1601i	0.0958672	+	0.666771i
$452$	−4.20926	−	4.85774i	−0.197987	−	0.228489i
$453$	6.31829	+	13.8351i	0.296859	+	0.650031i
$454$	−7.05903	+	4.53656i	−0.331297	+	0.212912i
$455$	−0.631975	+	4.39548i	−0.0296274	+	0.206063i
$456$	−12.3484	−	7.93583i	−0.578266	−	0.371629i
$457$	−6.32365	+	7.29789i	−0.295808	+	0.341381i	−0.884126	−	0.467249i	$-0.845245\pi$
$457$	−6.32365	+	7.29789i	−0.295808	+	0.341381i	0.588318	+	0.808630i	$0.299791\pi$
$458$	18.3752	+	5.39544i	0.858616	+	0.252112i
$459$	1.53913			0.0718405
$460$	2.23143	+	1.99508i	0.104041	+	0.0930211i
$461$	24.4254			1.13760			0.568802	−	0.822475i	$-0.307407\pi$
$461$	24.4254			1.13760			0.568802	+	0.822475i	$0.307407\pi$
$462$	1.60827	+	0.472230i	0.0748234	+	0.0219701i
$463$	−13.8776	+	16.0156i	−0.644947	+	0.744308i	−0.980241	−	0.197805i	$-0.936619\pi$
$463$	−13.8776	+	16.0156i	−0.644947	+	0.744308i	0.335295	+	0.942113i	$0.391164\pi$
$464$	−10.7639	−	6.91751i	−0.499700	−	0.321138i
$465$	0.482830	−	3.35816i	0.0223907	−	0.155731i
$466$	5.40928	−	3.47633i	0.250580	−	0.161038i
$467$	16.2580	+	35.6000i	0.752329	+	1.64737i	0.762135	+	0.647418i	$0.224151\pi$
$467$	16.2580	+	35.6000i	0.752329	+	1.64737i	−0.00980625	+	0.999952i	$0.503121\pi$
$468$	0.559556	+	0.645762i	0.0258655	+	0.0298503i
$469$	1.30448	+	9.07287i	0.0602354	+	0.418946i
$470$	−7.77308	+	17.0207i	−0.358545	+	0.785105i
$471$	−9.49264	+	2.78729i	−0.437398	+	0.128432i
$472$	−4.86152	+	1.42747i	−0.223769	+	0.0657046i
$473$	6.31765	−	13.8337i	0.290486	−	0.636075i
$474$	2.18453	+	15.1937i	0.100339	+	0.697871i
$475$	−5.59518	−	6.45719i	−0.256725	−	0.296276i
$476$	0.221575	+	0.485182i	0.0101559	+	0.0222383i
$477$	5.56605	−	3.57708i	0.254852	−	0.163783i
$478$	1.21160	−	8.42686i	0.0554173	−	0.385436i
$479$	13.3541	+	8.58214i	0.610163	+	0.392128i	0.808918	−	0.587921i	$-0.200054\pi$
$479$	13.3541	+	8.58214i	0.610163	+	0.392128i	−0.198755	+	0.980049i	$0.563690\pi$
$480$	−2.28439	+	2.63632i	−0.104268	+	0.120331i
$481$	24.5421	+	7.20621i	1.11902	+	0.328575i
$482$	13.0664			0.595160
$483$	1.42247	−	4.58002i	0.0647248	−	0.208398i
$484$	3.22317			0.146508
$485$	−16.7282	−	4.91183i	−0.759586	−	0.223035i
$486$	0.842063	−	0.971793i	0.0381968	−	0.0440814i
$487$	4.32120	+	2.77706i	0.195812	+	0.125841i	0.634873	−	0.772617i	$-0.281052\pi$
$487$	4.32120	+	2.77706i	0.195812	+	0.125841i	−0.439061	+	0.898457i	$0.644689\pi$
$488$	−3.89504	+	27.0906i	−0.176320	+	1.22633i
$489$	10.1323	−	6.51165i	0.458199	−	0.294467i
$490$	0.962047	+	2.10659i	0.0434608	+	0.0951660i
$491$	3.57994	+	4.13147i	0.161560	+	0.186451i	0.830758	−	0.556634i	$-0.187907\pi$
$491$	3.57994	+	4.13147i	0.161560	+	0.186451i	−0.669197	+	0.743085i	$0.733362\pi$
$492$	0.541253	+	3.76450i	0.0244016	+	0.169717i
$493$	2.56710	−	5.62117i	0.115616	−	0.253165i
$494$	−14.7988	+	4.34533i	−0.665831	+	0.195506i
$495$	−2.25258	+	0.661418i	−0.101246	+	0.0297285i
$496$	−2.49382	+	5.46069i	−0.111976	+	0.245192i
$497$	−0.918443	−	6.38791i	−0.0411978	−	0.286537i
$498$	−8.20544	−	9.46959i	−0.367695	−	0.424342i
$499$	8.18730	+	17.9277i	0.366514	+	0.802554i	0.999595	+	0.0284679i	$0.00906283\pi$
$499$	8.18730	+	17.9277i	0.366514	+	0.802554i	−0.633081	+	0.774086i	$0.718210\pi$
$500$	−3.54747	+	2.27982i	−0.158648	+	0.101957i
$501$	1.01863	−	7.08470i	0.0455089	−	0.316521i
$502$	5.73463	+	3.68542i	0.255949	+	0.164489i
$503$	−27.4329	+	31.6593i	−1.22317	+	1.41162i	−0.341417	+	0.939912i	$0.610907\pi$
$503$	−27.4329	+	31.6593i	−1.22317	+	1.41162i	−0.881756	+	0.471705i	$0.843639\pi$
$504$	2.89512	+	0.850085i	0.128959	+	0.0378658i
$505$	1.92002			0.0854397
$506$	0.124896	−	8.03763i	0.00555230	−	0.357316i
$507$	−6.92056			−0.307353
$508$	−1.59023	−	0.466933i	−0.0705550	−	0.0207168i
$509$	27.4693	−	31.7013i	1.21756	−	1.40513i	0.330287	−	0.943881i	$-0.392855\pi$
$509$	27.4693	−	31.7013i	1.21756	−	1.40513i	0.887269	−	0.461253i	$-0.152600\pi$
$510$	2.99859	+	1.92708i	0.132780	+	0.0853323i
$511$	0.340899	−	2.37101i	0.0150805	−	0.104887i
$512$	21.3711	−	13.7344i	0.944479	−	0.606980i
$513$	−2.02088	−	4.42511i	−0.0892240	−	0.195373i
$514$	−19.9703	−	23.0470i	−0.880854	−	1.01656i
$515$	1.01301	+	7.04561i	0.0446383	+	0.310466i
$516$	1.67957	−	3.67774i	0.0739388	−	0.161903i
$517$	−10.1055	+	2.96725i	−0.444441	+	0.130500i
$518$	12.7990	−	3.75813i	0.562356	−	0.165123i
$519$	−1.66256	+	3.64050i	−0.0729783	+	0.159800i
$520$	1.90689	+	13.2627i	0.0836226	+	0.581608i
$521$	2.74442	+	3.16723i	0.120235	+	0.138759i	0.812676	−	0.582716i	$-0.198010\pi$
$521$	2.74442	+	3.16723i	0.120235	+	0.138759i	−0.692441	+	0.721475i	$0.743465\pi$
$522$	−2.14468	−	4.69620i	−0.0938702	−	0.205547i
$523$	−20.6965	+	13.3008i	−0.904995	+	0.581605i	−0.908268	−	0.418390i	$-0.862595\pi$
$523$	−20.6965	+	13.3008i	−0.904995	+	0.581605i	0.00327260	+	0.999995i	$0.498958\pi$
$524$	0.364416	−	2.53457i	0.0159196	−	0.110723i
$525$	1.47752	+	0.949546i	0.0644843	+	0.0414416i
$526$	0.184166	−	0.212539i	0.00803001	−	0.00926713i
$527$	−2.78191	−	0.816844i	−0.121182	−	0.0355823i
$528$	4.15410			0.180784
$529$	−22.9889	−	0.714617i	−0.999517	−	0.0310703i
$530$	15.3227			0.665574
$531$	−1.61119	−	0.473088i	−0.0699197	−	0.0205303i
$532$	1.10400	−	1.27409i	0.0478646	−	0.0552386i
$533$	22.7639	+	14.6294i	0.986012	+	0.633672i
$534$	0.801561	−	5.57498i	0.0346869	−	0.241253i
$535$	17.3345	−	11.1402i	0.749434	−	0.481632i
$536$	11.4893	+	25.1582i	0.496264	+	1.08667i
$537$	−3.89029	−	4.48964i	−0.167879	−	0.193742i
$538$	−1.71159	−	11.9044i	−0.0737920	−	0.513235i
$539$	−0.541506	+	1.18573i	−0.0233243	+	0.0510731i
$540$	−0.598856	+	0.175840i	−0.0257707	+	0.00756695i
$541$	−32.4442	+	9.52649i	−1.39489	+	0.409576i	−0.890925	−	0.454150i	$-0.849943\pi$
$541$	−32.4442	+	9.52649i	−1.39489	+	0.409576i	−0.503962	+	0.863726i	$0.668125\pi$
$542$	−12.7974	+	28.0225i	−0.549697	+	1.20367i
$543$	1.39149	+	9.67801i	0.0597145	+	0.415323i
$544$	1.95222	+	2.25298i	0.0837006	+	0.0965956i
$545$	−4.33492	−	9.49214i	−0.185687	−	0.406599i
$546$	2.66719	−	1.71410i	0.114145	−	0.0733567i
$547$	−4.87328	+	33.8944i	−0.208367	+	1.44922i	0.570121	+	0.821561i	$0.306896\pi$
$547$	−4.87328	+	33.8944i	−0.208367	+	1.44922i	−0.778487	+	0.627660i	$0.784013\pi$
$548$	0.401408	+	0.257969i	0.0171473	+	0.0110199i
$549$	−5.93998	+	6.85510i	−0.253512	+	0.292569i
$550$	2.82466	+	0.829394i	0.120444	+	0.0353655i
$551$	−19.5318			−0.832085
$552$	0.224831	−	14.4689i	0.00956946	−	0.615839i
$553$	−11.9374			−0.507632
$554$	−14.9464	−	4.38866i	−0.635012	−	0.186456i
$555$	−12.2350	+	14.1200i	−0.519349	+	0.599360i
$556$	−5.23482	−	3.36422i	−0.222006	−	0.142675i
$557$	−2.20856	+	15.3609i	−0.0935799	+	0.650862i	0.888005	+	0.459834i	$0.152091\pi$
$557$	−2.20856	+	15.3609i	−0.0935799	+	0.650862i	−0.981585	+	0.191028i	$0.938818\pi$
$558$	−2.03774	+	1.30958i	−0.0862644	+	0.0554388i
$559$	−11.9500	−	26.1668i	−0.505430	−	1.10674i
$560$	3.75857	+	4.33763i	0.158829	+	0.183298i
$561$	0.285527	+	1.98588i	0.0120549	+	0.0838440i
$562$	−6.77826	+	14.8423i	−0.285924	+	0.626086i
$563$	39.1087	−	11.4834i	1.64824	−	0.483966i	0.679835	−	0.733365i	$-0.262051\pi$
$563$	39.1087	−	11.4834i	1.64824	−	0.483966i	0.968401	+	0.249399i	$0.0802332\pi$
$564$	−2.68659	+	0.788854i	−0.113126	+	0.0332167i
$565$	13.8770	−	30.3863i	0.583808	−	1.27836i
$566$	1.42057	+	9.88027i	0.0597109	+	0.415299i
$567$	0.654861	+	0.755750i	0.0275016	+	0.0317385i
$568$	−8.08927	−	17.7130i	−0.339418	−	0.743222i
$569$	−9.35036	+	6.00911i	−0.391988	+	0.251915i	−0.721757	−	0.692146i	$-0.756665\pi$
$569$	−9.35036	+	6.00911i	−0.391988	+	0.251915i	0.329770	+	0.944061i	$0.393029\pi$
$570$	1.60333	−	11.1514i	0.0671560	−	0.467080i
$571$	14.9924	+	9.63501i	0.627411	+	0.403213i	0.815350	−	0.578968i	$-0.196544\pi$
$571$	14.9924	+	9.63501i	0.627411	+	0.403213i	−0.187939	+	0.982181i	$0.560181\pi$
$572$	−0.729397	+	0.841769i	−0.0304976	+	0.0351961i
$573$	−13.4729	−	3.95601i	−0.562839	−	0.165265i
$574$	14.1118			0.589016
$575$	2.49834	−	8.04404i	0.104188	−	0.335460i
$576$	8.86419			0.369341
$577$	−1.39124	−	0.408506i	−0.0579182	−	0.0170063i	0.252645	−	0.967559i	$-0.418699\pi$
$577$	−1.39124	−	0.408506i	−0.0579182	−	0.0170063i	−0.310563	+	0.950553i	$0.600518\pi$
$578$	−12.3203	+	14.2184i	−0.512457	+	0.591406i
$579$	11.4152	+	7.33611i	0.474400	+	0.304878i
$580$	−0.356628	+	2.48040i	−0.0148082	+	0.102993i
$581$	8.19755	−	5.26825i	0.340092	−	0.218564i
$582$	5.17090	+	11.3227i	0.214341	+	0.469341i
$583$	5.64794	+	6.51807i	0.233914	+	0.269951i
$584$	−1.02861	−	7.15415i	−0.0425642	−	0.296041i
$585$	−1.84473	+	4.03939i	−0.0762700	+	0.167008i
$586$	10.8682	−	3.19118i	0.448960	−	0.131827i
$587$	−43.3550	+	12.7302i	−1.78945	+	0.525430i	−0.996480	−	0.0838290i	$-0.973285\pi$
$587$	−43.3550	+	12.7302i	−1.78945	+	0.525430i	−0.792971	+	0.609259i	$0.791467\pi$
$588$	−0.143961	+	0.315231i	−0.00593685	+	0.0129999i
$589$	1.30417	+	9.07071i	0.0537374	+	0.373752i
$590$	−2.54664	−	2.93898i	−0.104844	−	0.120996i
$591$	−10.5415	−	23.0827i	−0.433620	−	0.949495i
$592$	27.8113	−	17.8732i	1.14304	−	0.734586i
$593$	−1.58943	+	11.0547i	−0.0652702	+	0.453964i	0.930810	+	0.365504i	$0.119104\pi$
$593$	−1.58943	+	11.0547i	−0.0652702	+	0.453964i	−0.996080	+	0.0884596i	$0.971806\pi$
$594$	1.41008	+	0.906203i	0.0578562	+	0.0371820i
$595$	−1.81528	+	2.09494i	−0.0744191	+	0.0858842i
$596$	−7.47472	−	2.19478i	−0.306177	−	0.0899016i
$597$	0.636769			0.0260612
$598$	−11.3352	−	10.1346i	−0.463531	−	0.414435i
$599$	11.4084			0.466133			0.233066	−	0.972461i	$-0.425124\pi$
$599$	11.4084			0.466133			0.233066	+	0.972461i	$0.425124\pi$
$600$	5.08480	+	1.49303i	0.207586	+	0.0609528i
$601$	7.64684	−	8.82492i	0.311921	−	0.359976i	−0.578043	−	0.816006i	$-0.696184\pi$
$601$	7.64684	−	8.82492i	0.311921	−	0.359976i	0.889964	+	0.456030i	$0.150729\pi$
$602$	−12.6205	−	8.11068i	−0.514372	−	0.330567i
$603$	−1.30448	+	9.07287i	−0.0531226	+	0.369476i
$604$	−4.43411	+	2.84963i	−0.180421	+	0.115950i
$605$	6.95859	+	15.2372i	0.282907	+	0.619480i
$606$	−0.897702	−	1.03600i	−0.0364666	−	0.0420848i
$607$	−5.15379	−	35.8454i	−0.209186	−	1.45492i	−0.775822	−	0.630952i	$-0.782664\pi$
$607$	−5.15379	−	35.8454i	−0.209186	−	1.45492i	0.566636	−	0.823968i	$-0.308245\pi$
$608$	3.91420	−	8.57091i	0.158742	−	0.347596i
$609$	3.85236	−	1.13115i	0.156105	−	0.0458367i
$610$	−20.1554	+	5.91816i	−0.816069	+	0.239619i
$611$	−8.27581	+	18.1215i	−0.334803	+	0.733117i
$612$	0.0759082	+	0.527953i	0.00306841	+	0.0213412i
$613$	−30.7287	−	35.4628i	−1.24112	−	1.43233i	−0.861945	−	0.507003i	$-0.830753\pi$
$613$	−30.7287	−	35.4628i	−1.24112	−	1.43233i	−0.379175	−	0.925325i	$-0.623792\pi$
$614$	−3.80339	−	8.32827i	−0.153492	−	0.336101i
$615$	−16.6277	+	10.6860i	−0.670494	+	0.430900i
$616$	−0.559753	+	3.89316i	−0.0225531	+	0.156860i
$617$	8.28391	+	5.32375i	0.333498	+	0.214326i	0.696663	−	0.717399i	$-0.254667\pi$
$617$	8.28391	+	5.32375i	0.333498	+	0.214326i	−0.363165	+	0.931725i	$0.618304\pi$
$618$	3.32804	−	3.84076i	0.133873	−	0.154498i
$619$	13.7836	+	4.04723i	0.554010	+	0.162672i	0.546741	−	0.837302i	$-0.315868\pi$
$619$	13.7836	+	4.04723i	0.554010	+	0.162672i	0.00726860	+	0.999974i	$0.497686\pi$
$620$	1.17573			0.0472184
$621$	2.65519	−	3.99374i	0.106549	−	0.160263i
$622$	10.9697			0.439846
$623$	4.20274	+	1.23404i	0.168379	+	0.0494406i
$624$	5.14561	−	5.93835i	0.205989	−	0.237724i
$625$	−11.0487	−	7.10057i	−0.441948	−	0.284023i
$626$	0.752247	−	5.23199i	0.0300658	−	0.209112i
$627$	5.33465	−	3.42837i	0.213045	−	0.136916i
$628$	−1.42426	−	3.11870i	−0.0568343	−	0.124450i
$629$	10.4559	+	12.0668i	0.416906	+	0.481135i
$630$	0.329582	+	2.29230i	0.0131309	+	0.0913273i
$631$	0.688166	−	1.50687i	0.0273955	−	0.0599877i	−0.895440	−	0.445183i	$-0.853139\pi$
$631$	0.688166	−	1.50687i	0.0273955	−	0.0599877i	0.922835	+	0.385195i	$0.125866\pi$
$632$	−34.5604	+	10.1478i	−1.37474	+	0.403660i
$633$	9.39556	−	2.75879i	0.373440	−	0.109652i
$634$	8.28617	−	18.1442i	0.329086	−	0.720597i
$635$	−1.22581	−	8.52570i	−0.0486448	−	0.338332i
$636$	1.50152	+	1.73285i	0.0595392	+	0.0687119i
$637$	1.02427	+	2.24284i	0.0405830	+	0.0888644i
$638$	5.66146	−	3.63840i	0.224139	−	0.144046i
$639$	0.918443	−	6.38791i	0.0363330	−	0.252702i
$640$	11.4003	+	7.32654i	0.450637	+	0.289607i
$641$	23.9510	−	27.6409i	0.946007	−	1.09175i	−0.0496603	−	0.998766i	$-0.515814\pi$
$641$	23.9510	−	27.6409i	0.946007	−	1.09175i	0.995668	−	0.0929844i	$-0.0296407\pi$
$642$	−14.1157	−	4.14475i	−0.557103	−	0.163580i
$643$	38.7374			1.52766			0.763828	−	0.645420i	$-0.223318\pi$
$643$	38.7374			1.52766			0.763828	+	0.645420i	$0.223318\pi$
$644$	1.64119	+	0.262056i	0.0646721	+	0.0103264i
$645$	21.0122			0.827353
$646$	−9.23787	−	2.71248i	−0.363459	−	0.106721i
$647$	3.02451	−	3.49047i	0.118906	−	0.137225i	−0.693176	−	0.720769i	$-0.743789\pi$
$647$	3.02451	−	3.49047i	0.118906	−	0.137225i	0.812082	+	0.583544i	$0.198334\pi$
$648$	2.53835	+	1.63130i	0.0997159	+	0.0640835i
$649$	0.311513	−	2.16662i	0.0122279	−	0.0850472i
$650$	4.68448	−	3.01053i	0.183740	−	0.118083i
$651$	−0.782543	−	1.71353i	−0.0306703	−	0.0671585i
$652$	2.73334	+	3.15444i	0.107046	+	0.123537i
$653$	1.00547	+	6.99322i	0.0393472	+	0.273666i	0.999992	−	0.00411550i	$-0.00131001\pi$
$653$	1.00547	+	6.99322i	0.0393472	+	0.273666i	−0.960644	+	0.277781i	$0.910401\pi$
$654$	−3.09498	+	6.77707i	−0.121023	+	0.265004i
$655$	12.7686	−	3.74921i	0.498911	−	0.146494i
$656$	33.5572	−	9.85327i	1.31019	−	0.384706i
$657$	0.995080	−	2.17892i	0.0388218	−	0.0850078i
$658$	1.47857	+	10.2837i	0.0576408	+	0.400900i
$659$	−8.56629	−	9.88603i	−0.333695	−	0.385105i	0.563961	−	0.825802i	$-0.309277\pi$
$659$	−8.56629	−	9.88603i	−0.333695	−	0.385105i	−0.897656	+	0.440697i	$0.854731\pi$
$660$	−0.337974	−	0.740060i	−0.0131556	−	0.0288068i
$661$	21.1247	−	13.5760i	0.821656	−	0.528046i	−0.0609604	−	0.998140i	$-0.519416\pi$
$661$	21.1247	−	13.5760i	0.821656	−	0.528046i	0.882616	+	0.470094i	$0.155780\pi$
$662$	3.56519	−	24.7964i	0.138565	−	0.963740i
$663$	3.19253	+	2.05171i	0.123987	+	0.0796819i
$664$	19.2545	−	22.2208i	0.747218	−	0.862336i
$665$	8.40656	+	2.46839i	0.325992	+	0.0957200i
$666$	13.3393			0.516889
$667$	−10.1572	−	16.3583i	−0.393290	−	0.633397i
$668$	2.48043			0.0959708
$669$	17.8928	+	5.25379i	0.691775	+	0.203123i
$670$	−13.9012	+	16.0428i	−0.537048	+	0.619787i
$671$	−9.94681	−	6.39242i	−0.383992	−	0.246777i
$672$	−0.275647	+	1.91717i	−0.0106333	+	0.0739563i
$673$	7.15709	−	4.59958i	0.275886	−	0.177301i	−0.395380	−	0.918517i	$-0.629387\pi$
$673$	7.15709	−	4.59958i	0.275886	−	0.177301i	0.671266	+	0.741217i	$0.265751\pi$
$674$	3.70867	+	8.12086i	0.142853	+	0.312804i
$675$	1.15015	+	1.32735i	0.0442695	+	0.0510897i
$676$	−0.341314	−	2.37389i	−0.0131275	−	0.0913035i
$677$	−1.34943	+	2.95483i	−0.0518626	+	0.113563i	−0.933789	−	0.357823i	$-0.883519\pi$
$677$	−1.34943	+	2.95483i	−0.0518626	+	0.113563i	0.881927	+	0.471387i	$0.156246\pi$
$678$	−22.8840	+	6.71935i	−0.878855	+	0.258055i
$679$	−9.28816	+	2.72725i	−0.356447	+	0.104662i
$680$	−3.47457	+	7.60825i	−0.133244	+	0.291763i
$681$	−0.928694	−	6.45921i	−0.0355876	−	0.247517i
$682$	−2.06772	−	2.38627i	−0.0791771	−	0.0913752i
$683$	8.67927	+	19.0050i	0.332103	+	0.727204i	0.999852	−	0.0171819i	$-0.00546944\pi$
$683$	8.67927	+	19.0050i	0.332103	+	0.727204i	−0.667749	+	0.744386i	$0.732742\pi$
$684$	1.41823	−	0.911443i	0.0542275	−	0.0348499i
$685$	−0.352911	+	2.45455i	−0.0134840	+	0.0937835i
$686$	1.08174	+	0.695192i	0.0413010	+	0.0265426i
$687$	−9.75310	+	11.2557i	−0.372104	+	0.429431i
$688$	−35.6739	−	10.4748i	−1.36006	−	0.399348i
$689$	16.3137			0.621502
$690$	10.1733	−	4.45629i	0.387291	−	0.169648i
$691$	21.7816			0.828612			0.414306	−	0.910138i	$-0.364024\pi$
$691$	21.7816			0.828612			0.414306	+	0.910138i	$0.364024\pi$
$692$	−1.33076	−	0.390747i	−0.0505879	−	0.0148540i
$693$	−0.853630	+	0.985141i	−0.0324267	+	0.0374224i
$694$	−21.9691	−	14.1187i	−0.833935	−	0.535938i
$695$	4.60236	−	32.0101i	0.174578	−	1.21421i
$696$	10.1915	−	6.54966i	0.386307	−	0.248264i
$697$	7.01690	+	15.3649i	0.265784	+	0.581986i
$698$	27.2938	+	31.4988i	1.03309	+	1.19225i
$699$	0.711650	+	4.94964i	0.0269171	+	0.187212i
$700$	−0.252844	+	0.553650i	−0.00955659	+	0.0209260i
$701$	21.8844	−	6.42584i	0.826563	−	0.242701i	0.159023	−	0.987275i	$-0.449166\pi$
$701$	21.8844	−	6.42584i	0.826563	−	0.242701i	0.667540	+	0.744574i	$0.267347\pi$
$702$	3.04207	−	0.893233i	0.114816	−	0.0337129i
$703$	20.9642	−	45.9053i	0.790681	−	1.73135i
$704$	1.64441	+	11.4371i	0.0619760	+	0.431053i
$705$	−9.52936	−	10.9975i	−0.358897	−	0.414189i
$706$	−15.3662	−	33.6472i	−0.578314	−	1.26633i
$707$	0.896838	−	0.576363i	0.0337291	−	0.0216764i
$708$	0.0828166	−	0.576002i	0.00311244	−	0.0216475i
$709$	−22.6145	−	14.5335i	−0.849306	−	0.545816i	0.0420521	−	0.999115i	$-0.486610\pi$
$709$	−22.6145	−	14.5335i	−0.849306	−	0.545816i	−0.891358	+	0.453300i	$0.850247\pi$
$710$	9.78734	−	11.2952i	0.367313	−	0.423901i
$711$	−11.4539	−	3.36317i	−0.429555	−	0.126129i
$712$	13.2165			0.495309
$713$	−6.91869	+	5.80935i	−0.259107	+	0.217562i
$714$	1.97912			0.0740666
$715$	−5.55408	−	1.63083i	−0.207711	−	0.0609894i
$716$	1.34817	−	1.55587i	0.0503835	−	0.0581457i
$717$	5.56980	+	3.57950i	0.208008	+	0.133679i
$718$	2.58803	−	18.0002i	0.0965846	−	0.671760i
$719$	−6.53996	+	4.20298i	−0.243899	+	0.156745i	−0.656880	−	0.753995i	$-0.728124\pi$
$719$	−6.53996	+	4.20298i	−0.243899	+	0.156745i	0.412981	+	0.910740i	$0.364488\pi$
$720$	2.38428	+	5.22084i	0.0888567	+	0.194569i
$721$	2.58817	+	2.98690i	0.0963884	+	0.111238i
$722$	0.853785	+	5.93821i	0.0317746	+	0.220997i
$723$	−4.22127	+	9.24330i	−0.156991	+	0.343762i
$724$	−3.25112	+	0.954616i	−0.120827	+	0.0354780i
$725$	6.76603	−	1.98669i	0.251284	−	0.0737836i
$726$	4.96820	−	10.8788i	0.184387	−	0.403752i
$727$	−6.40521	−	44.5492i	−0.237556	−	1.65224i	−0.664006	−	0.747727i	$-0.731145\pi$
$727$	−6.40521	−	44.5492i	−0.237556	−	1.65224i	0.426450	−	0.904511i	$-0.359764\pi$
$728$	4.87198	+	5.62257i	0.180568	+	0.208386i
$729$	0.415415	+	0.909632i	0.0153857	+	0.0336901i
$730$	4.66677	−	2.99915i	0.172725	−	0.111004i
$731$	2.55552	−	17.7740i	0.0945192	−	0.657396i
$732$	−2.64439	−	1.69945i	−0.0977395	−	0.0628133i
$733$	−7.61088	+	8.78343i	−0.281114	+	0.324423i	−0.878693	−	0.477387i	$-0.841584\pi$
$733$	−7.61088	+	8.78343i	−0.281114	+	0.324423i	0.597579	+	0.801810i	$0.296129\pi$
$734$	5.39544	+	1.58424i	0.199149	+	0.0584755i
$735$	−1.80102			−0.0664316
$736$	9.21384	−	1.17894i	0.339626	−	0.0434564i
$737$	−11.9484			−0.440124
$738$	13.5402	+	3.97576i	0.498422	+	0.146350i
$739$	−5.02560	+	5.79986i	−0.184870	+	0.213351i	−0.840618	−	0.541629i	$-0.817808\pi$
$739$	−5.02560	+	5.79986i	−0.184870	+	0.213351i	0.655748	+	0.754980i	$0.272353\pi$
$740$	−5.44686	−	3.50048i	−0.200230	−	0.128680i
$741$	1.70703	−	11.8726i	0.0627092	−	0.436152i
$742$	7.15720	−	4.59965i	0.262749	−	0.168859i
$743$	−4.12233	−	9.02665i	−0.151234	−	0.331156i	0.818818	−	0.574053i	$-0.194630\pi$
$743$	−4.12233	−	9.02665i	−0.151234	−	0.331156i	−0.970052	+	0.242897i	$0.921902\pi$
$744$	−3.72220	−	4.29565i	−0.136463	−	0.157486i
$745$	−5.76181	−	40.0743i	−0.211096	−	1.46821i
$746$	8.30002	−	18.1745i	0.303885	−	0.665416i
$747$	9.34973	−	2.74533i	0.342089	−	0.100446i
$748$	−0.667115	+	0.195883i	−0.0243922	+	0.00716218i
$749$	4.75278	−	10.4071i	0.173663	−	0.380268i
$750$	2.22677	+	15.4875i	0.0813101	+	0.565524i
$751$	−17.5940	−	20.3045i	−0.642013	−	0.740922i	0.337717	−	0.941248i	$-0.390345\pi$
$751$	−17.5940	−	20.3045i	−0.642013	−	0.740922i	−0.979729	+	0.200326i	$0.935800\pi$
$752$	10.6963	+	23.4217i	0.390055	+	0.854102i
$753$	−4.45974	+	2.86610i	−0.162522	+	0.104447i
$754$	1.81160	−	12.6000i	0.0659746	−	0.458864i
$755$	−23.0442	−	14.8096i	−0.838665	−	0.538977i
$756$	−0.226940	+	0.261903i	−0.00825374	+	0.00952532i
$757$	44.4517	+	13.0522i	1.61563	+	0.474390i	0.959838	−	0.280555i	$-0.0905186\pi$
$757$	44.4517	+	13.0522i	1.61563	+	0.474390i	0.655787	+	0.754946i	$0.272337\pi$
$758$	−26.2005			−0.951645
$759$	5.64553	+	2.68501i	0.204920	+	0.0974596i
$760$	26.4364			0.958947
$761$	−16.4062	−	4.81730i	−0.594725	−	0.174627i	−0.0295016	−	0.999565i	$-0.509392\pi$
$761$	−16.4062	−	4.81730i	−0.594725	−	0.174627i	−0.565224	+	0.824938i	$0.691210\pi$
$762$	−4.02717	+	4.64760i	−0.145889	+	0.168365i
$763$	−4.87424	−	3.13249i	−0.176460	−	0.113404i
$764$	0.692521	−	4.81659i	0.0250545	−	0.174258i
$765$	−2.33196	+	1.49866i	−0.0843122	+	0.0541841i
$766$	−11.4665	−	25.1082i	−0.414302	−	0.907195i
$767$	−2.71135	−	3.12906i	−0.0979011	−	0.112984i
$768$	1.14606	+	7.97103i	0.0413549	+	0.287630i
$769$	−1.56104	+	3.41819i	−0.0562924	+	0.123263i	−0.935688	−	0.352829i	$-0.885220\pi$
$769$	−1.56104	+	3.41819i	−0.0562924	+	0.123263i	0.879395	+	0.476092i	$0.157947\pi$
$770$	−2.89652	+	0.850495i	−0.104383	+	0.0306497i
$771$	22.7553	−	6.68155i	0.819512	−	0.240630i
$772$	−1.95345	+	4.27745i	−0.0703061	+	0.153949i
$773$	3.87101	+	26.9235i	0.139231	+	0.968370i	0.932929	+	0.360059i	$0.117243\pi$
$773$	3.87101	+	26.9235i	0.139231	+	0.968370i	−0.793699	+	0.608311i	$0.791847\pi$
$774$	−9.82421	−	11.3377i	−0.353124	−	0.407527i
$775$	−1.37441	−	3.00953i	−0.0493701	−	0.108106i
$776$	−24.5720	+	15.7915i	−0.882083	+	0.566880i
$777$	−1.47635	+	10.2682i	−0.0529637	+	0.368370i
$778$	−11.8375	−	7.60751i	−0.424396	−	0.272742i
$779$	34.9619	−	40.3481i	1.25264	−	1.44562i
$780$	−1.47657	−	0.433560i	−0.0528697	−	0.0155239i
$781$	8.41245			0.301021
$782$	−2.53225	−	9.14749i	−0.0905531	−	0.327114i
$783$	4.01500			0.143484
$784$	3.05772	+	0.897828i	0.109204	+	0.0320653i
$785$	11.6684	−	13.4661i	0.416464	−	0.480625i
$786$	−7.99295	−	5.13676i	−0.285099	−	0.183222i
$787$	3.13174	−	21.7817i	0.111635	−	0.776435i	−0.854696	−	0.519130i	$-0.826256\pi$
$787$	3.13174	−	21.7817i	0.111635	−	0.776435i	0.966330	−	0.257306i	$-0.0828347\pi$
$788$	7.39793	−	4.75436i	0.263540	−	0.169367i
$789$	0.0908545	+	0.198944i	0.00323451	+	0.00708258i
$790$	−18.1040	−	20.8931i	−0.644111	−	0.743344i
$791$	−2.63964	−	18.3591i	−0.0938547	−	0.652774i
$792$	−1.63391	+	3.57776i	−0.0580585	+	0.127130i
$793$	−21.4590	+	6.30093i	−0.762031	+	0.223753i
$794$	−45.6113	+	13.3927i	−1.61868	+	0.475288i
$795$	−4.95018	+	10.8394i	−0.175565	+	0.384433i
$796$	0.0314047	+	0.218425i	0.00111311	+	0.00774186i
$797$	33.5891	+	38.7639i	1.18979	+	1.37309i	0.910828	+	0.412785i	$0.135444\pi$
$797$	33.5891	+	38.7639i	1.18979	+	1.37309i	0.278959	+	0.960303i	$0.410011\pi$
$798$	−2.59858	−	5.69010i	−0.0919888	−	0.201427i
$799$	−10.4616	+	6.72328i	−0.370106	+	0.237853i
$800$	−0.484128	+	3.36718i	−0.0171165	+	0.119048i
$801$	3.68483	+	2.36810i	0.130197	+	0.0836726i
$802$	1.19244	−	1.37614i	0.0421064	−	0.0485933i
$803$	2.99598	+	0.879698i	0.105726	+	0.0310439i
$804$	−3.17651			−0.112027
$805$	2.30437	+	8.32431i	0.0812185	+	0.293393i
$806$	−5.97246			−0.210371
$807$	8.97421	+	2.63507i	0.315907	+	0.0927587i
$808$	2.10650	−	2.43103i	0.0741064	−	0.0855234i
$809$	−29.6109	−	19.0297i	−1.04106	−	0.669050i	−0.0958129	−	0.995399i	$-0.530545\pi$
$809$	−29.6109	−	19.0297i	−1.04106	−	0.669050i	−0.945249	+	0.326349i	$0.894181\pi$
$810$	−0.329582	+	2.29230i	−0.0115803	+	0.0805431i
$811$	−20.6810	+	13.2909i	−0.726209	+	0.466706i	−0.850792	−	0.525503i	$-0.823877\pi$
$811$	−20.6810	+	13.2909i	−0.726209	+	0.466706i	0.124582	+	0.992209i	$0.460241\pi$
$812$	0.578003	+	1.26565i	0.0202839	+	0.0444156i
$813$	−15.6889	−	18.1060i	−0.550235	−	0.635006i
$814$	2.47460	+	17.2112i	0.0867347	+	0.603253i
$815$	−9.01119	+	19.7318i	−0.315648	+	0.691173i
$816$	4.70624	−	1.38188i	0.164751	−	0.0483753i
$817$	−54.4569	+	15.9900i	−1.90521	+	0.559419i
$818$	−15.8315	+	34.6661i	−0.553534	+	1.21207i
$819$	0.350899	+	2.44055i	0.0122614	+	0.0852799i
$820$	−4.48556	−	5.17662i	−0.156643	−	0.180775i
$821$	16.8062	+	36.8004i	0.586540	+	1.28434i	0.937511	+	0.347956i	$0.113124\pi$
$821$	16.8062	+	36.8004i	0.586540	+	1.28434i	−0.350971	+	0.936386i	$0.614149\pi$
$822$	1.48943	−	0.957197i	0.0519498	−	0.0333861i
$823$	−2.52887	+	17.5887i	−0.0881508	+	0.613102i	0.897080	+	0.441869i	$0.145684\pi$
$823$	−2.52887	+	17.5887i	−0.0881508	+	0.613102i	−0.985230	+	0.171234i	$0.945225\pi$
$824$	10.0322	+	6.44729i	0.349488	+	0.224602i
$825$	−1.49926	+	1.73024i	−0.0521975	+	0.0602391i
$826$	−2.07177	−	0.608328i	−0.0720862	−	0.0211664i
$827$	47.2620			1.64346			0.821731	−	0.569876i	$-0.193009\pi$
$827$	47.2620			1.64346			0.821731	+	0.569876i	$0.193009\pi$
$828$	1.50088	+	0.713818i	0.0521593	+	0.0248069i
$829$	36.8453			1.27969			0.639845	−	0.768504i	$-0.278998\pi$
$829$	36.8453			1.27969			0.639845	+	0.768504i	$0.278998\pi$
$830$	21.6527	+	6.35782i	0.751578	+	0.220683i
$831$	7.93320	−	9.15540i	0.275200	−	0.317597i
$832$	18.3864	+	11.8162i	0.637435	+	0.409655i
$833$	−0.219041	+	1.52347i	−0.00758933	+	0.0527850i
$834$	−19.4238	+	12.4829i	−0.672593	+	0.432249i
$835$	5.35507	+	11.7260i	0.185320	+	0.405794i
$836$	1.43910	+	1.66081i	0.0497723	+	0.0574403i
$837$	−0.268087	−	1.86459i	−0.00926645	−	0.0644496i
$838$	−5.53230	+	12.1140i	−0.191110	+	0.418472i
$839$	5.31884	−	1.56175i	0.183627	−	0.0539177i	−0.188626	−	0.982049i	$-0.560404\pi$
$839$	5.31884	−	1.56175i	0.183627	−	0.0539177i	0.372253	+	0.928131i	$0.378585\pi$
$840$	−5.21417	+	1.53102i	−0.179906	+	0.0528251i
$841$	−5.35047	+	11.7159i	−0.184499	+	0.403996i
$842$	4.19023	+	29.1437i	0.144405	+	1.00436i
$843$	−8.30977	−	9.58999i	−0.286204	−	0.330297i
$844$	1.40970	+	3.08681i	0.0485238	+	0.106252i
$845$	10.4854	−	6.73858i	0.360710	−	0.231814i
$846$	−1.47857	+	10.2837i	−0.0508344	+	0.353561i
$847$	7.82434	+	5.02840i	0.268848	+	0.172778i
$848$	13.8078	−	15.9351i	0.474163	−	0.547213i
$849$	−7.44831	−	2.18702i	−0.255625	−	0.0750584i
$850$	3.47599			0.119226
$851$	49.3487	−	6.31434i	1.69165	−	0.216453i
$852$	2.23648			0.0766205
$853$	−33.1527	−	9.73450i	−1.13513	−	0.333303i	−0.340406	−	0.940279i	$-0.610564\pi$
$853$	−33.1527	−	9.73450i	−1.13513	−	0.333303i	−0.794720	+	0.606976i	$0.792383\pi$
$854$	−7.63802	+	8.81475i	−0.261368	+	0.301634i
$855$	7.37061	+	4.73680i	0.252069	+	0.161995i
$856$	4.91293	−	34.1702i	0.167921	−	1.16791i
$857$	35.1144	−	22.5667i	1.19949	−	0.770862i	0.220618	−	0.975360i	$-0.429193\pi$
$857$	35.1144	−	22.5667i	1.19949	−	0.770862i	0.978867	+	0.204498i	$0.0655561\pi$
$858$	1.71684	+	3.75936i	0.0586120	+	0.128342i
$859$	−26.3790	−	30.4430i	−0.900040	−	1.03870i	−0.999048	−	0.0436154i	$-0.986112\pi$
$859$	−26.3790	−	30.4430i	−0.900040	−	1.03870i	0.0990080	−	0.995087i	$-0.468433\pi$
$860$	1.03630	+	7.20759i	0.0353374	+	0.245777i
$861$	−4.55900	+	9.98282i	−0.155370	+	0.340213i
$862$	6.28357	−	1.84502i	0.214019	−	0.0628417i
$863$	−4.63758	+	1.36172i	−0.157865	+	0.0463533i	−0.359710	−	0.933064i	$-0.617124\pi$
$863$	−4.63758	+	1.36172i	−0.157865	+	0.0463533i	0.201845	+	0.979417i	$0.435306\pi$
$864$	−0.804609	+	1.76185i	−0.0273734	+	0.0599393i
$865$	−1.02580	−	7.13461i	−0.0348783	−	0.242584i
$866$	−16.9625	−	19.5758i	−0.576411	−	0.665213i
$867$	−6.07797	−	13.3089i	−0.206419	−	0.451994i
$868$	0.549181	−	0.352937i	0.0186404	−	0.0119795i
$869$	2.21453	−	15.4024i	0.0751229	−	0.522491i
$870$	7.82215	+	5.02699i	0.265196	+	0.170431i
$871$	−14.8002	+	17.0804i	−0.501487	+	0.578746i
$872$	−16.7744	−	4.92541i	−0.568053	−	0.166796i
$873$	−9.68028			−0.327628
$874$	−22.9748	+	19.2910i	−0.777135	+	0.652529i
$875$	−12.1683			−0.411363
$876$	0.796490	+	0.233870i	0.0269109	+	0.00790175i
$877$	−27.7652	+	32.0427i	−0.937563	+	1.08201i	0.0589244	+	0.998262i	$0.481233\pi$
$877$	−27.7652	+	32.0427i	−0.937563	+	1.08201i	−0.996487	+	0.0837429i	$0.973313\pi$
$878$	2.44561	+	1.57170i	0.0825354	+	0.0530423i
$879$	−1.25363	+	8.71918i	−0.0422839	+	0.294091i
$880$	−6.29393	+	4.04486i	−0.212168	+	0.136352i
$881$	−22.1329	−	48.4643i	−0.745677	−	1.63281i	−0.773983	−	0.633206i	$-0.781739\pi$
$881$	−22.1329	−	48.4643i	−0.745677	−	1.63281i	0.0283063	−	0.999599i	$-0.490989\pi$
$882$	0.842063	+	0.971793i	0.0283538	+	0.0327220i
$883$	−5.92734	−	41.2255i	−0.199471	−	1.38735i	−0.805824	−	0.592155i	$-0.798277\pi$
$883$	−5.92734	−	41.2255i	−0.199471	−	1.38735i	0.606353	−	0.795195i	$-0.292632\pi$
$884$	−0.546327	+	1.19629i	−0.0183750	+	0.0402355i
$885$	2.90178	−	0.852040i	0.0975423	−	0.0286410i
$886$	−31.3103	+	9.19354i	−1.05189	+	0.308863i
$887$	−17.7019	+	38.7617i	−0.594371	+	1.30149i	0.338394	+	0.941005i	$0.390116\pi$
$887$	−17.7019	+	38.7617i	−0.594371	+	1.30149i	−0.932765	+	0.360486i	$0.882611\pi$
$888$	4.45465	+	30.9828i	0.149488	+	1.03971i
$889$	−3.13187	−	3.61437i	−0.105040	−	0.121222i
$890$	4.21392	+	9.22721i	0.141251	+	0.309297i
$891$	−1.09660	+	0.704741i	−0.0367374	+	0.0236097i
$892$	−0.919705	+	6.39669i	−0.0307940	+	0.214177i
$893$	33.0660	+	21.2502i	1.10651	+	0.711112i
$894$	−18.9293	+	21.8456i	−0.633092	+	0.730627i
$895$	10.2658	+	3.01431i	0.343148	+	0.100757i
$896$	7.52440			0.251373
$897$	10.8313	−	4.74451i	0.361646	−	0.158414i
$898$	−20.1611			−0.672785
$899$	−7.25693	−	2.13083i	−0.242032	−	0.0710670i
$900$	−0.398583	+	0.459989i	−0.0132861	+	0.0153330i
$901$	8.56689	+	5.50560i	0.285404	+	0.183418i
$902$	−2.61791	+	18.2079i	−0.0871667	+	0.606258i
$903$	9.81476	−	6.30756i	0.326615	−	0.209903i
$904$	−23.2489	−	50.9079i	−0.773245	−	1.69317i
$905$	−11.5318	−	13.3084i	−0.383329	−	0.442385i
$906$	2.78332	+	19.3584i	0.0924696	+	0.643140i
$907$	−5.46976	+	11.9771i	−0.181621	+	0.397694i	−0.978442	−	0.206521i	$-0.933786\pi$
$907$	−5.46976	+	11.9771i	−0.181621	+	0.397694i	0.796822	+	0.604215i	$0.206513\pi$
$908$	2.16984	−	0.637121i	0.0720085	−	0.0211436i
$909$	1.02289	−	0.300348i	0.0339271	−	0.00996191i
$910$	−2.37207	+	5.19411i	−0.0786334	+	0.172183i
$911$	−6.10090	−	42.4327i	−0.202132	−	1.40586i	−0.797943	−	0.602734i	$-0.794078\pi$
$911$	−6.10090	−	42.4327i	−0.202132	−	1.40586i	0.595811	−	0.803125i	$-0.296831\pi$
$912$	−10.1523	−	11.7164i	−0.336175	−	0.387967i
$913$	5.27667	+	11.5543i	0.174632	+	0.382392i
$914$	−10.4458	+	6.71311i	−0.345517	+	0.222050i
$915$	2.32490	−	16.1700i	0.0768588	−	0.534565i
$916$	−4.34194	−	2.79039i	−0.143462	−	0.0921972i
$917$	4.83875	−	5.58422i	0.159790	−	0.184407i
$918$	1.89895	+	0.557582i	0.0626747	+	0.0184030i
$919$	12.2897			0.405399			0.202700	−	0.979241i	$-0.435028\pi$
$919$	12.2897			0.405399			0.202700	+	0.979241i	$0.435028\pi$
$920$	13.7478	+	22.1410i	0.453252	+	0.729967i
$921$	7.12021			0.234619
$922$	30.1355	+	8.84859i	0.992461	+	0.291413i
$923$	10.4204	−	12.0257i	0.342990	−	0.395832i
$924$	−0.380023	−	0.244226i	−0.0125018	−	0.00803445i
$925$	−2.59296	+	18.0344i	−0.0852560	+	0.592968i
$926$	−22.9239	+	14.7323i	−0.753325	+	0.484133i
$927$	1.64182	+	3.59508i	0.0539245	+	0.118078i
$928$	5.09257	+	5.87714i	0.167172	+	0.192926i
$929$	0.455348	+	3.16702i	0.0149395	+	0.103906i	0.995927	−	0.0901654i	$-0.0287396\pi$
$929$	0.455348	+	3.16702i	0.0149395	+	0.103906i	−0.980987	+	0.194072i	$0.937830\pi$
$930$	1.81227	−	3.96831i	0.0594266	−	0.130126i
$931$	4.66767	−	1.37055i	0.152977	−	0.0449180i
$932$	−1.66273	+	0.488221i	−0.0544644	+	0.0159922i
$933$	−3.54391	+	7.76007i	−0.116022	+	0.254053i
$934$	7.16193	+	49.8123i	0.234345	+	1.62991i
$935$	−2.36627	−	2.73082i	−0.0773852	−	0.0893073i
$936$	3.09057	+	6.76741i	0.101019	+	0.221200i
$937$	−33.4392	+	21.4901i	−1.09241	+	0.702050i	−0.957392	−	0.288793i	$-0.906746\pi$
$937$	−33.4392	+	21.4901i	−1.09241	+	0.702050i	−0.135019	+	0.990843i	$0.543110\pi$
$938$	−1.67739	+	11.6665i	−0.0547687	+	0.380925i
$939$	3.45813	+	2.22240i	0.112852	+	0.0725254i
$940$	3.30238	−	3.81114i	0.107712	−	0.124306i
$941$	−21.8040	−	6.40224i	−0.710791	−	0.208707i	−0.0937018	−	0.995600i	$-0.529870\pi$
$941$	−21.8040	−	6.40224i	−0.710791	−	0.208707i	−0.617089	+	0.786893i	$0.711688\pi$
$942$	−12.7216			−0.414492
$943$	51.9738	+	8.29886i	1.69250	+	0.270248i
$944$	−5.35132			−0.174171
$945$	−1.72806	−	0.507405i	−0.0562139	−	0.0165059i
$946$	12.8061	−	14.7791i	0.416364	−	0.480509i
$947$	7.23143	+	4.64736i	0.234990	+	0.151019i	0.652837	−	0.757499i	$-0.273579\pi$
$947$	7.23143	+	4.64736i	0.234990	+	0.151019i	−0.417847	+	0.908518i	$0.637215\pi$
$948$	0.588741	−	4.09478i	0.0191214	−	0.132992i
$949$	4.96860	−	3.19313i	0.161288	−	0.103653i
$950$	−4.56398	−	9.99371i	−0.148075	−	0.324239i
$951$	10.1584	+	11.7234i	0.329408	+	0.380157i
$952$	0.660924	+	4.59683i	0.0214207	+	0.148984i
$953$	−6.93668	+	15.1892i	−0.224701	+	0.492027i	−0.988083	−	0.153920i	$-0.950810\pi$
$953$	−6.93668	+	15.1892i	−0.224701	+	0.492027i	0.763382	+	0.645947i	$0.223537\pi$
$954$	8.16315	−	2.39692i	0.264292	−	0.0776031i
$955$	24.2650	−	7.12484i	0.785196	−	0.230554i
$956$	−0.953142	+	2.08709i	−0.0308268	+	0.0675013i
$957$	0.744828	+	5.18039i	0.0240769	+	0.167458i
$958$	13.3669	+	15.4263i	0.431866	+	0.498400i
$959$	0.571978	+	1.25246i	0.0184701	+	0.0404439i
$960$	−13.4302	+	8.63110i	−0.433459	+	0.278567i
$961$	3.90675	−	27.1720i	0.126024	−	0.876517i
$962$	27.6690	+	17.7818i	0.892083	+	0.573307i
$963$	7.49228	−	8.64656i	0.241436	−	0.278631i
$964$	−3.37882	−	0.992112i	−0.108825	−	0.0319538i
$965$	−24.4385			−0.786704
$966$	3.41422	−	5.13541i	0.109851	−	0.165229i
$967$	14.3163			0.460382			0.230191	−	0.973146i	$-0.426065\pi$
$967$	14.3163			0.460382			0.230191	+	0.973146i	$0.426065\pi$
$968$	26.9270	+	7.90648i	0.865466	+	0.254124i
$969$	4.90324	−	5.65864i	0.157515	−	0.181782i
$970$	−18.8594	−	12.1202i	−0.605540	−	0.389157i
$971$	−4.90557	+	34.1190i	−0.157427	+	1.09493i	0.745925	+	0.666030i	$0.232008\pi$
$971$	−4.90557	+	34.1190i	−0.157427	+	1.09493i	−0.903352	+	0.428900i	$0.858901\pi$
$972$	−0.291534	+	0.187358i	−0.00935096	+	0.00600950i
$973$	−7.45924	−	16.3335i	−0.239132	−	0.523627i
$974$	4.32536	+	4.99173i	0.138593	+	0.159945i
$975$	0.616295	+	4.28643i	0.0197372	+	0.137276i
$976$	−12.0081	+	26.2941i	−0.384370	+	0.841653i
$977$	31.3374	−	9.20150i	1.00257	−	0.294382i	0.261062	−	0.965322i	$-0.415927\pi$
$977$	31.3374	−	9.20150i	1.00257	−	0.294382i	0.741512	+	0.670940i	$0.234109\pi$
$978$	14.8600	−	4.36330i	0.475171	−	0.139523i
$979$	−2.37188	+	5.19370i	−0.0758058	+	0.165991i
$980$	−0.0888241	−	0.617785i	−0.00283738	−	0.0197344i
$981$	−3.79428	−	4.37883i	−0.121142	−	0.139805i
$982$	2.92015	+	6.39423i	0.0931857	+	0.204048i
$983$	−20.3851	+	13.1007i	−0.650183	+	0.417847i	−0.823733	−	0.566978i	$-0.808113\pi$
$983$	−20.3851	+	13.1007i	−0.650183	+	0.417847i	0.173550	+	0.984825i	$0.444476\pi$
$984$	−4.71262	+	32.7770i	−0.150233	+	1.04489i
$985$	38.4473	+	24.7086i	1.22503	+	0.787281i
$986$	5.20362	−	6.00530i	0.165717	−	0.191248i
$987$	−7.75244	−	2.27632i	−0.246763	−	0.0724561i
$988$	4.15674			0.132243
$989$	−41.7114	−	37.2934i	−1.32635	−	1.18586i
$990$	−3.01880			−0.0959438
$991$	44.6488	+	13.1101i	1.41831	+	0.416455i	0.898933	−	0.438087i	$-0.144344\pi$
$991$	44.6488	+	13.1101i	1.41831	+	0.416455i	0.519382	+	0.854542i	$0.326162\pi$
$992$	2.38934	−	2.75744i	0.0758616	−	0.0875490i
$993$	16.3894	+	10.5328i	0.520102	+	0.334249i
$994$	1.18099	−	8.21400i	0.0374589	−	0.260532i
$995$	−0.964778	+	0.620025i	−0.0305855	+	0.0196561i
$996$	1.40282	+	3.07175i	0.0444501	+	0.0973321i
$997$	33.1533	+	38.2609i	1.04997	+	1.21174i	0.976741	+	0.214421i	$0.0687863\pi$
$997$	33.1533	+	38.2609i	1.04997	+	1.21174i	0.0732334	+	0.997315i	$0.476668\pi$
$998$	3.60666	+	25.0848i	0.114167	+	0.794047i
$999$	−4.30944	+	9.43635i	−0.136345	+	0.298553i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.q.f.64.6	✓	80
23.9	even	11	inner	483.2.q.f.400.6	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.q.f.64.6	✓	80	1.1	even	1	trivial
483.2.q.f.400.6	yes	80	23.9	even	11	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(1.23378 + 0.362270i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(-0.291534 - 0.187358i) q^{4} +(0.256312 - 1.78269i) q^{5} +(-1.08174 + 0.695192i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(-1.97594 - 2.28036i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\)	\(q+(1.23378 + 0.362270i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(-0.291534 - 0.187358i) q^{4} +(0.256312 - 1.78269i) q^{5} +(-1.08174 + 0.695192i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(-1.97594 - 2.28036i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(0.962047 - 2.10659i) q^{10} +(1.25073 - 0.367247i) q^{11} +(0.332510 - 0.0976337i) q^{12} +(1.02427 - 2.24284i) q^{13} +(-0.182998 - 1.27278i) q^{14} +(1.17942 + 1.36112i) q^{15} +(-1.32385 - 2.89882i) q^{16} +(1.29480 - 0.832118i) q^{17} +(0.182998 - 1.27278i) q^{18} +(-4.09247 - 2.63007i) q^{19} +(-0.408724 + 0.471692i) q^{20} +(0.959493 + 0.281733i) q^{21} +1.67616 q^{22} +(0.0745129 - 4.79525i) q^{23} +3.01735 q^{24} +(1.68519 + 0.494816i) q^{25} +(2.07623 - 2.39610i) q^{26} +(0.841254 + 0.540641i) q^{27} +(-0.0493188 + 0.343020i) q^{28} +(3.37763 - 2.17067i) q^{29} +(0.962047 + 2.10659i) q^{30} +(-1.23360 - 1.42365i) q^{31} +(0.275647 + 1.91717i) q^{32} +(-0.541506 + 1.18573i) q^{33} +(1.89895 - 0.557582i) q^{34} +(-1.72806 + 0.507405i) q^{35} +(-0.143961 + 0.315231i) q^{36} +(1.47635 + 10.2682i) q^{37} +(-4.09641 - 4.72751i) q^{38} +(1.02427 + 2.24284i) q^{39} +(-4.57162 + 2.93800i) q^{40} +(-1.56184 + 10.8629i) q^{41} +(1.08174 + 0.695192i) q^{42} +(7.64015 - 8.81720i) q^{43} +(-0.433436 - 0.127268i) q^{44} -1.80102 q^{45} +(1.82911 - 5.88929i) q^{46} -8.07973 q^{47} +(3.05772 + 0.897828i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(1.89990 + 1.22099i) q^{50} +(-0.219041 + 1.52347i) q^{51} +(-0.718822 + 0.461959i) q^{52} +(2.74854 + 6.01847i) q^{53} +(0.842063 + 0.971793i) q^{54} +(-0.334110 - 2.32378i) q^{55} +(-1.25345 + 2.74468i) q^{56} +(4.66767 - 1.37055i) q^{57} +(4.95362 - 1.45451i) q^{58} +(0.697569 - 1.52746i) q^{59} +(-0.0888241 - 0.617785i) q^{60} +(-5.93998 - 6.85510i) q^{61} +(-1.00625 - 2.20337i) q^{62} +(-0.841254 + 0.540641i) q^{63} +(-1.26151 + 8.77397i) q^{64} +(-3.73574 - 2.40081i) q^{65} +(-1.09765 + 1.26676i) q^{66} +(-8.79488 - 2.58241i) q^{67} -0.533382 q^{68} +(3.57521 + 3.19654i) q^{69} -2.31587 q^{70} +(6.19218 + 1.81819i) q^{71} +(-1.97594 + 2.28036i) q^{72} +(2.01513 + 1.29504i) q^{73} +(-1.89839 + 13.2036i) q^{74} +(-1.47752 + 0.949546i) q^{75} +(0.700331 + 1.53351i) q^{76} +(-0.853630 - 0.985141i) q^{77} +(0.451209 + 3.13823i) q^{78} +(4.95900 - 10.8587i) q^{79} +(-5.50701 + 1.61700i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-5.86226 + 12.8366i) q^{82} +(1.38678 + 9.64526i) q^{83} +(-0.226940 - 0.261903i) q^{84} +(-1.15153 - 2.52150i) q^{85} +(12.6205 - 8.11068i) q^{86} +(-0.571393 + 3.97413i) q^{87} +(-3.30882 - 2.12645i) q^{88} +(-2.86840 + 3.31031i) q^{89} +(-2.22206 - 0.652456i) q^{90} -2.46565 q^{91} +(-0.920150 + 1.38402i) q^{92} +1.88376 q^{93} +(-9.96861 - 2.92705i) q^{94} +(-5.73753 + 6.62147i) q^{95} +(-1.62941 - 1.04716i) q^{96} +(1.37765 - 9.58175i) q^{97} +(-1.08174 + 0.695192i) q^{98} +(-0.541506 - 1.18573i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9}+O(q^{10}) \) 80 * q + q^2 - 8 * q^3 - 9 * q^4 + 13 * q^5 + q^6 + 8 * q^7 - 25 * q^8 - 8 * q^9	\( 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9} + 4 q^{10} + q^{11} - 9 q^{12} - 26 q^{13} - q^{14} + 2 q^{15} - 3 q^{16} - 23 q^{17} + q^{18} + 10 q^{19} + 63 q^{20} + 8 q^{21} - 9 q^{23} + 30 q^{24} - 29 q^{25} - 12 q^{26} - 8 q^{27} + 20 q^{28} + 13 q^{29} + 4 q^{30} - 27 q^{31} + 71 q^{32} + q^{33} - 45 q^{34} - 2 q^{35} - 9 q^{36} + 60 q^{37} - 2 q^{38} - 26 q^{39} + 7 q^{40} - 26 q^{41} - q^{42} + 5 q^{43} - 33 q^{44} - 20 q^{45} - 41 q^{46} + 34 q^{47} - 58 q^{48} - 8 q^{49} - 75 q^{50} - q^{51} + 108 q^{52} - 39 q^{53} - 10 q^{54} + 51 q^{55} + 3 q^{56} + 10 q^{57} + 47 q^{58} - 66 q^{59} + 19 q^{60} + 3 q^{61} + 103 q^{62} + 8 q^{63} - 25 q^{64} + 39 q^{65} - 33 q^{66} + 33 q^{67} - 88 q^{68} + 13 q^{69} + 18 q^{70} - 12 q^{71} - 25 q^{72} - 98 q^{73} + 123 q^{74} + 4 q^{75} - 41 q^{76} - 12 q^{77} + 10 q^{78} - 34 q^{79} + 163 q^{80} - 8 q^{81} + 48 q^{82} + 26 q^{83} + 9 q^{84} + 35 q^{85} + 4 q^{86} + 2 q^{87} + 178 q^{88} - 63 q^{89} + 4 q^{90} - 62 q^{91} - 39 q^{92} + 138 q^{93} - 28 q^{94} - 80 q^{95} - 17 q^{96} - 44 q^{97} + q^{98} + q^{99}+O(q^{100}) \) 80 * q + q^2 - 8 * q^3 - 9 * q^4 + 13 * q^5 + q^6 + 8 * q^7 - 25 * q^8 - 8 * q^9 + 4 * q^10 + q^11 - 9 * q^12 - 26 * q^13 - q^14 + 2 * q^15 - 3 * q^16 - 23 * q^17 + q^18 + 10 * q^19 + 63 * q^20 + 8 * q^21 - 9 * q^23 + 30 * q^24 - 29 * q^25 - 12 * q^26 - 8 * q^27 + 20 * q^28 + 13 * q^29 + 4 * q^30 - 27 * q^31 + 71 * q^32 + q^33 - 45 * q^34 - 2 * q^35 - 9 * q^36 + 60 * q^37 - 2 * q^38 - 26 * q^39 + 7 * q^40 - 26 * q^41 - q^42 + 5 * q^43 - 33 * q^44 - 20 * q^45 - 41 * q^46 + 34 * q^47 - 58 * q^48 - 8 * q^49 - 75 * q^50 - q^51 + 108 * q^52 - 39 * q^53 - 10 * q^54 + 51 * q^55 + 3 * q^56 + 10 * q^57 + 47 * q^58 - 66 * q^59 + 19 * q^60 + 3 * q^61 + 103 * q^62 + 8 * q^63 - 25 * q^64 + 39 * q^65 - 33 * q^66 + 33 * q^67 - 88 * q^68 + 13 * q^69 + 18 * q^70 - 12 * q^71 - 25 * q^72 - 98 * q^73 + 123 * q^74 + 4 * q^75 - 41 * q^76 - 12 * q^77 + 10 * q^78 - 34 * q^79 + 163 * q^80 - 8 * q^81 + 48 * q^82 + 26 * q^83 + 9 * q^84 + 35 * q^85 + 4 * q^86 + 2 * q^87 + 178 * q^88 - 63 * q^89 + 4 * q^90 - 62 * q^91 - 39 * q^92 + 138 * q^93 - 28 * q^94 - 80 * q^95 - 17 * q^96 - 44 * q^97 + q^98 + q^99

Introduction

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