LMFDB - Embedded newform 322.2.i.a.141.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [322,2,Mod(29,322)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(322, base_ring=CyclotomicField(22))

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("322.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 322 = 2 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	322.i (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:	$2.57118294509$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			141.1
Root			$-0.415415 - 0.909632i$ of defining polynomial
Character	$\chi$	$=$	322.141
Dual form			322.2.i.a.169.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.142315 + 0.989821i) q^{2} +(-0.128663 + 0.281733i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.01255 - 1.16854i) q^{5} +(-0.297176 - 0.0872586i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(1.90176 + 2.19475i) q^{9} +O(q^{10})$	\(q+(0.142315 + 0.989821i) q^{2} +(-0.128663 + 0.281733i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.01255 - 1.16854i) q^{5} +(-0.297176 - 0.0872586i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(1.90176 + 2.19475i) q^{9} +(1.30075 + 0.835939i) q^{10} +(-0.671292 + 4.66894i) q^{11} +(0.0440780 - 0.306569i) q^{12} +(2.37491 + 1.52626i) q^{13} +(-0.654861 - 0.755750i) q^{14} +(0.198939 + 0.435615i) q^{15} +(0.841254 - 0.540641i) q^{16} +(4.59616 + 1.34955i) q^{17} +(-1.90176 + 2.19475i) q^{18} +(-0.601808 + 0.176707i) q^{19} +(-0.642315 + 1.40647i) q^{20} +(-0.0440780 - 0.306569i) q^{21} -4.71695 q^{22} +(-1.51037 - 4.55179i) q^{23} +0.309721 q^{24} +(0.371337 + 2.58271i) q^{25} +(-1.17274 + 2.56794i) q^{26} +(-1.75455 + 0.515181i) q^{27} +(0.654861 - 0.755750i) q^{28} +(-3.14412 - 0.923198i) q^{29} +(-0.402869 + 0.258908i) q^{30} +(-1.35168 - 2.95976i) q^{31} +(0.654861 + 0.755750i) q^{32} +(-1.22902 - 0.789845i) q^{33} +(-0.681716 + 4.74144i) q^{34} +(-0.220047 + 1.53046i) q^{35} +(-2.44306 - 1.57006i) q^{36} +(-1.83926 - 2.12262i) q^{37} +(-0.260554 - 0.570534i) q^{38} +(-0.735560 + 0.472716i) q^{39} +(-1.48357 - 0.435615i) q^{40} +(1.92986 - 2.22717i) q^{41} +(0.297176 - 0.0872586i) q^{42} +(1.65450 - 3.62285i) q^{43} +(-0.671292 - 4.66894i) q^{44} +4.49028 q^{45} +(4.29051 - 2.14278i) q^{46} +2.49418 q^{47} +(0.0440780 + 0.306569i) q^{48} +(0.415415 - 0.909632i) q^{49} +(-2.50357 + 0.735115i) q^{50} +(-0.971569 + 1.12125i) q^{51} +(-2.70870 - 0.795348i) q^{52} +(2.73483 - 1.75757i) q^{53} +(-0.759635 - 1.66337i) q^{54} +(4.77613 + 5.51195i) q^{55} +(0.841254 + 0.540641i) q^{56} +(0.0276463 - 0.192284i) q^{57} +(0.466346 - 3.24350i) q^{58} +(0.362362 + 0.232876i) q^{59} +(-0.313607 - 0.361922i) q^{60} +(-3.50468 - 7.67417i) q^{61} +(2.73727 - 1.75914i) q^{62} +(-2.78644 - 0.818172i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(4.18820 - 1.22977i) q^{65} +(0.606897 - 1.32892i) q^{66} +(-0.167235 - 1.16314i) q^{67} -4.79020 q^{68} +(1.47672 + 0.160126i) q^{69} -1.54620 q^{70} +(-0.767921 - 5.34101i) q^{71} +(1.20640 - 2.64164i) q^{72} +(2.58876 - 0.760129i) q^{73} +(1.83926 - 2.12262i) q^{74} +(-0.775410 - 0.227681i) q^{75} +(0.527646 - 0.339098i) q^{76} +(-1.95949 - 4.29069i) q^{77} +(-0.572585 - 0.660799i) q^{78} +(-10.4029 - 6.68555i) q^{79} +(0.220047 - 1.53046i) q^{80} +(-1.15928 + 8.06294i) q^{81} +(2.47915 + 1.59325i) q^{82} +(8.84799 + 10.2111i) q^{83} +(0.128663 + 0.281733i) q^{84} +(6.23083 - 4.00431i) q^{85} +(3.82144 + 1.12208i) q^{86} +(0.664627 - 0.767020i) q^{87} +(4.52588 - 1.32892i) q^{88} +(7.22942 - 15.8302i) q^{89} +(0.639033 + 4.44457i) q^{90} -2.82306 q^{91} +(2.73158 + 3.94189i) q^{92} +1.00777 q^{93} +(0.354959 + 2.46879i) q^{94} +(-0.402869 + 0.882160i) q^{95} +(-0.297176 + 0.0872586i) q^{96} +(-7.74725 + 8.94080i) q^{97} +(0.959493 + 0.281733i) q^{98} +(-11.5238 + 7.40590i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + q^{2} - 3 q^{3} - q^{4} + 5 q^{5} + 3 q^{6} + q^{7} + q^{8} + 16 q^{9}+O(q^{10}) $ 10 * q + q^2 - 3 * q^3 - q^4 + 5 * q^5 + 3 * q^6 + q^7 + q^8 + 16 * q^9	\( 10 q + q^{2} - 3 q^{3} - q^{4} + 5 q^{5} + 3 q^{6} + q^{7} + q^{8} + 16 q^{9} - 5 q^{10} - 11 q^{11} - 3 q^{12} + 10 q^{13} - q^{14} - 7 q^{15} - q^{16} + q^{17} - 16 q^{18} + 3 q^{19} - 6 q^{20} + 3 q^{21} + 12 q^{23} - 8 q^{24} + 2 q^{25} - 10 q^{26} - 9 q^{27} + q^{28} + 2 q^{29} - 4 q^{30} - 5 q^{31} + q^{32} - 11 q^{33} - 12 q^{34} + 6 q^{35} - 6 q^{36} + 27 q^{37} - 3 q^{38} + 8 q^{39} - 5 q^{40} - 12 q^{41} - 3 q^{42} + 38 q^{43} - 11 q^{44} + 8 q^{45} + 10 q^{46} + 2 q^{47} - 3 q^{48} - q^{49} - 13 q^{50} + 36 q^{51} - q^{52} - 16 q^{53} + 9 q^{54} - 11 q^{55} - q^{56} - 13 q^{57} + 9 q^{58} - 5 q^{59} - 7 q^{60} - 26 q^{61} + 5 q^{62} + 6 q^{63} - q^{64} + 5 q^{65} - 11 q^{66} - 4 q^{67} + 12 q^{68} - 8 q^{69} - 6 q^{70} + q^{71} + 6 q^{72} + 9 q^{73} - 27 q^{74} + 17 q^{75} - 8 q^{76} - 11 q^{77} + 25 q^{78} - 50 q^{79} - 6 q^{80} + 2 q^{81} + 23 q^{82} - 29 q^{83} + 3 q^{84} + 28 q^{85} + 17 q^{86} - 16 q^{87} + 11 q^{88} + 7 q^{89} - 19 q^{90} + 12 q^{91} + 23 q^{92} + 40 q^{93} + 20 q^{94} - 4 q^{95} + 3 q^{96} + 12 q^{97} + q^{98} - 33 q^{99}+O(q^{100}) \) 10 * q + q^2 - 3 * q^3 - q^4 + 5 * q^5 + 3 * q^6 + q^7 + q^8 + 16 * q^9 - 5 * q^10 - 11 * q^11 - 3 * q^12 + 10 * q^13 - q^14 - 7 * q^15 - q^16 + q^17 - 16 * q^18 + 3 * q^19 - 6 * q^20 + 3 * q^21 + 12 * q^23 - 8 * q^24 + 2 * q^25 - 10 * q^26 - 9 * q^27 + q^28 + 2 * q^29 - 4 * q^30 - 5 * q^31 + q^32 - 11 * q^33 - 12 * q^34 + 6 * q^35 - 6 * q^36 + 27 * q^37 - 3 * q^38 + 8 * q^39 - 5 * q^40 - 12 * q^41 - 3 * q^42 + 38 * q^43 - 11 * q^44 + 8 * q^45 + 10 * q^46 + 2 * q^47 - 3 * q^48 - q^49 - 13 * q^50 + 36 * q^51 - q^52 - 16 * q^53 + 9 * q^54 - 11 * q^55 - q^56 - 13 * q^57 + 9 * q^58 - 5 * q^59 - 7 * q^60 - 26 * q^61 + 5 * q^62 + 6 * q^63 - q^64 + 5 * q^65 - 11 * q^66 - 4 * q^67 + 12 * q^68 - 8 * q^69 - 6 * q^70 + q^71 + 6 * q^72 + 9 * q^73 - 27 * q^74 + 17 * q^75 - 8 * q^76 - 11 * q^77 + 25 * q^78 - 50 * q^79 - 6 * q^80 + 2 * q^81 + 23 * q^82 - 29 * q^83 + 3 * q^84 + 28 * q^85 + 17 * q^86 - 16 * q^87 + 11 * q^88 + 7 * q^89 - 19 * q^90 + 12 * q^91 + 23 * q^92 + 40 * q^93 + 20 * q^94 - 4 * q^95 + 3 * q^96 + 12 * q^97 + q^98 - 33 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/322\mathbb{Z}\right)^\times$.

$n$	$185$	$281$
$\chi(n)$	$1$	$e\left(\frac{8}{11}\right)$

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 $

$2$	0.142315	+	0.989821i	0.100632	+	0.699909i
$2$	0.142315	+	0.989821i	0.100632	+	0.699909i
$3$	−0.128663	+	0.281733i	−0.0742836	+	0.162658i	−0.943131	−	0.332422i	$-0.892134\pi$
$3$	−0.128663	+	0.281733i	−0.0742836	+	0.162658i	0.868847	+	0.495080i	$0.164861\pi$
$4$	−0.959493	+	0.281733i	−0.479746	+	0.140866i
$5$	1.01255	−	1.16854i	0.452824	−	0.522587i	−0.482730	−	0.875769i	$-0.660355\pi$
$5$	1.01255	−	1.16854i	0.452824	−	0.522587i	0.935555	+	0.353182i	$0.114900\pi$
$6$	−0.297176	−	0.0872586i	−0.121321	−	0.0356232i
$7$	−0.841254	+	0.540641i	−0.317964	+	0.204343i
$7$	−0.841254	+	0.540641i	−0.317964	+	0.204343i
$8$	−0.415415	−	0.909632i	−0.146871	−	0.321603i
$9$	1.90176	+	2.19475i	0.633921	+	0.731584i
$10$	1.30075	+	0.835939i	0.411332	+	0.264347i
$11$	−0.671292	+	4.66894i	−0.202402	+	1.40774i	0.594726	+	0.803929i	$0.297261\pi$
$11$	−0.671292	+	4.66894i	−0.202402	+	1.40774i	−0.797128	+	0.603810i	$0.793649\pi$
$12$	0.0440780	−	0.306569i	0.0127242	−	0.0884988i
$13$	2.37491	+	1.52626i	0.658681	+	0.423309i	0.826829	−	0.562453i	$-0.190142\pi$
$13$	2.37491	+	1.52626i	0.658681	+	0.423309i	−0.168148	+	0.985762i	$0.553779\pi$
$14$	−0.654861	−	0.755750i	−0.175019	−	0.201983i
$15$	0.198939	+	0.435615i	0.0513658	+	0.112475i
$16$	0.841254	−	0.540641i	0.210313	−	0.135160i
$17$	4.59616	+	1.34955i	1.11473	+	0.327315i	0.786690	−	0.617348i	$-0.211793\pi$
$17$	4.59616	+	1.34955i	1.11473	+	0.327315i	0.328042	+	0.944663i	$0.393611\pi$
$18$	−1.90176	+	2.19475i	−0.448250	+	0.517308i
$19$	−0.601808	+	0.176707i	−0.138064	+	0.0405393i	−0.350035	−	0.936737i	$-0.613830\pi$
$19$	−0.601808	+	0.176707i	−0.138064	+	0.0405393i	0.211970	+	0.977276i	$0.432012\pi$
$20$	−0.642315	+	1.40647i	−0.143626	+	0.314497i
$21$	−0.0440780	−	0.306569i	−0.00961860	−	0.0668988i
$22$	−4.71695			−1.00566
$23$	−1.51037	−	4.55179i	−0.314934	−	0.949114i
$23$	−1.51037	−	4.55179i	−0.314934	−	0.949114i
$24$	0.309721			0.0632216
$25$	0.371337	+	2.58271i	0.0742674	+	0.516541i
$26$	−1.17274	+	2.56794i	−0.229993	+	0.503615i
$27$	−1.75455	+	0.515181i	−0.337663	+	0.0991467i
$28$	0.654861	−	0.755750i	0.123757	−	0.142823i
$29$	−3.14412	−	0.923198i	−0.583849	−	0.171433i	−0.0235481	−	0.999723i	$-0.507496\pi$
$29$	−3.14412	−	0.923198i	−0.583849	−	0.171433i	−0.560301	+	0.828289i	$0.689314\pi$
$30$	−0.402869	+	0.258908i	−0.0735535	+	0.0472700i
$31$	−1.35168	−	2.95976i	−0.242768	−	0.531589i	0.748549	−	0.663079i	$-0.230751\pi$
$31$	−1.35168	−	2.95976i	−0.242768	−	0.531589i	−0.991317	+	0.131491i	$0.958024\pi$
$32$	0.654861	+	0.755750i	0.115764	+	0.133599i
$33$	−1.22902	−	0.789845i	−0.213945	−	0.137494i
$34$	−0.681716	+	4.74144i	−0.116913	+	0.813150i
$35$	−0.220047	+	1.53046i	−0.0371948	+	0.258695i
$36$	−2.44306	−	1.57006i	−0.407177	−	0.261677i
$37$	−1.83926	−	2.12262i	−0.302373	−	0.348957i	0.584146	−	0.811648i	$-0.301429\pi$
$37$	−1.83926	−	2.12262i	−0.302373	−	0.348957i	−0.886520	+	0.462691i	$0.846884\pi$
$38$	−0.260554	−	0.570534i	−0.0422675	−	0.0925529i
$39$	−0.735560	+	0.472716i	−0.117784	+	0.0756951i
$40$	−1.48357	−	0.435615i	−0.234573	−	0.0688768i
$41$	1.92986	−	2.22717i	0.301393	−	0.347826i	−0.584770	−	0.811199i	$-0.698815\pi$
$41$	1.92986	−	2.22717i	0.301393	−	0.347826i	0.886164	+	0.463373i	$0.153361\pi$
$42$	0.297176	−	0.0872586i	0.0458552	−	0.0134643i
$43$	1.65450	−	3.62285i	0.252309	−	0.552480i	−0.740518	−	0.672036i	$-0.765420\pi$
$43$	1.65450	−	3.62285i	0.252309	−	0.552480i	0.992827	+	0.119556i	$0.0381472\pi$
$44$	−0.671292	−	4.66894i	−0.101201	−	0.703869i
$45$	4.49028			0.669371
$46$	4.29051	−	2.14278i	0.632601	−	0.315936i
$47$	2.49418			0.363813			0.181907	−	0.983316i	$-0.441773\pi$
$47$	2.49418			0.363813			0.181907	+	0.983316i	$0.441773\pi$
$48$	0.0440780	+	0.306569i	0.00636211	+	0.0442494i
$49$	0.415415	−	0.909632i	0.0593450	−	0.129947i
$50$	−2.50357	+	0.735115i	−0.354058	+	0.103961i
$51$	−0.971569	+	1.12125i	−0.136047	+	0.157006i
$52$	−2.70870	−	0.795348i	−0.375630	−	0.110295i
$53$	2.73483	−	1.75757i	0.375658	−	0.241421i	−0.339164	−	0.940727i	$-0.610144\pi$
$53$	2.73483	−	1.75757i	0.375658	−	0.241421i	0.714822	+	0.699306i	$0.246508\pi$
$54$	−0.759635	−	1.66337i	−0.103373	−	0.226356i
$55$	4.77613	+	5.51195i	0.644013	+	0.743231i
$56$	0.841254	+	0.540641i	0.112417	+	0.0722462i
$57$	0.0276463	−	0.192284i	0.00366185	−	0.0254687i
$58$	0.466346	−	3.24350i	0.0612342	−	0.425893i
$59$	0.362362	+	0.232876i	0.0471755	+	0.0303179i	0.564016	−	0.825764i	$-0.309256\pi$
$59$	0.362362	+	0.232876i	0.0471755	+	0.0303179i	−0.516840	+	0.856082i	$0.672892\pi$
$60$	−0.313607	−	0.361922i	−0.0404865	−	0.0467239i
$61$	−3.50468	−	7.67417i	−0.448728	−	0.982577i	−0.989913	−	0.141674i	$-0.954752\pi$
$61$	−3.50468	−	7.67417i	−0.448728	−	0.982577i	0.541185	−	0.840903i	$-0.317976\pi$
$62$	2.73727	−	1.75914i	0.347634	−	0.223411i
$63$	−2.78644	−	0.818172i	−0.351058	−	0.103080i
$64$	−0.654861	+	0.755750i	−0.0818576	+	0.0944687i
$65$	4.18820	−	1.22977i	0.519482	−	0.152534i
$66$	0.606897	−	1.32892i	0.0747039	−	0.163579i
$67$	−0.167235	−	1.16314i	−0.0204310	−	0.142101i	0.977053	−	0.212998i	$-0.0683228\pi$
$67$	−0.167235	−	1.16314i	−0.0204310	−	0.142101i	−0.997484	+	0.0708975i	$0.977414\pi$
$68$	−4.79020			−0.580897
$69$	1.47672	+	0.160126i	0.177776	+	0.0192769i
$70$	−1.54620			−0.184806
$71$	−0.767921	−	5.34101i	−0.0911355	−	0.633861i	−0.983278	−	0.182108i	$-0.941708\pi$
$71$	−0.767921	−	5.34101i	−0.0911355	−	0.633861i	0.892143	−	0.451753i	$-0.149201\pi$
$72$	1.20640	−	2.64164i	0.142175	−	0.311320i
$73$	2.58876	−	0.760129i	0.302991	−	0.0889663i	−0.126703	−	0.991941i	$-0.540439\pi$
$73$	2.58876	−	0.760129i	0.302991	−	0.0889663i	0.429694	+	0.902974i	$0.358621\pi$
$74$	1.83926	−	2.12262i	0.213810	−	0.246750i
$75$	−0.775410	−	0.227681i	−0.0895366	−	0.0262903i
$76$	0.527646	−	0.339098i	0.0605252	−	0.0388972i
$77$	−1.95949	−	4.29069i	−0.223305	−	0.488970i
$78$	−0.572585	−	0.660799i	−0.0648325	−	0.0748207i
$79$	−10.4029	−	6.68555i	−1.17042	−	0.752183i	−0.196818	−	0.980440i	$-0.563061\pi$
$79$	−10.4029	−	6.68555i	−1.17042	−	0.752183i	−0.973601	+	0.228257i	$0.926697\pi$
$80$	0.220047	−	1.53046i	0.0246020	−	0.171111i
$81$	−1.15928	+	8.06294i	−0.128808	+	0.895883i
$82$	2.47915	+	1.59325i	0.273777	+	0.175946i
$83$	8.84799	+	10.2111i	0.971193	+	1.12082i	0.992647	+	0.121047i	$0.0386251\pi$
$83$	8.84799	+	10.2111i	0.971193	+	1.12082i	−0.0214538	+	0.999770i	$0.506829\pi$
$84$	0.128663	+	0.281733i	0.0140383	+	0.0307395i
$85$	6.23083	−	4.00431i	0.675828	−	0.434329i
$86$	3.82144	+	1.12208i	0.412076	+	0.120997i
$87$	0.664627	−	0.767020i	0.0712555	−	0.0822332i
$88$	4.52588	−	1.32892i	0.482461	−	0.141663i
$89$	7.22942	−	15.8302i	0.766317	−	1.67800i	0.0317210	−	0.999497i	$-0.489901\pi$
$89$	7.22942	−	15.8302i	0.766317	−	1.67800i	0.734596	−	0.678504i	$-0.237372\pi$
$90$	0.639033	+	4.44457i	0.0673600	+	0.468499i
$91$	−2.82306			−0.295937
$92$	2.73158	+	3.94189i	0.284787	+	0.410970i
$93$	1.00777			0.104501
$94$	0.354959	+	2.46879i	0.0366112	+	0.254636i
$95$	−0.402869	+	0.882160i	−0.0413335	+	0.0905077i
$96$	−0.297176	+	0.0872586i	−0.0303304	+	0.00890580i
$97$	−7.74725	+	8.94080i	−0.786614	+	0.907801i	−0.997568	−	0.0696948i	$-0.977797\pi$
$97$	−7.74725	+	8.94080i	−0.786614	+	0.907801i	0.210954	+	0.977496i	$0.432343\pi$
$98$	0.959493	+	0.281733i	0.0969234	+	0.0284593i
$99$	−11.5238	+	7.40590i	−1.15819	+	0.744321i
$100$	−1.08393	−	2.37347i	−0.108393	−	0.237347i
$101$	11.6977	+	13.4999i	1.16396	+	1.34329i	0.928468	+	0.371411i	$0.121126\pi$
$101$	11.6977	+	13.4999i	1.16396	+	1.34329i	0.235496	+	0.971875i	$0.424328\pi$
$102$	−1.24811	−	0.802109i	−0.123581	−	0.0794206i
$103$	0.426683	−	2.96765i	0.0420423	−	0.292411i	−0.957943	−	0.286959i	$-0.907356\pi$
$103$	0.426683	−	2.96765i	0.0420423	−	0.292411i	0.999985	−	0.00545162i	$-0.00173531\pi$
$104$	0.401763	−	2.79432i	0.0393961	−	0.274006i
$105$	−0.402869	−	0.258908i	−0.0393160	−	0.0252669i
$106$	2.12889	+	2.45687i	0.206776	+	0.238632i
$107$	−1.80469	−	3.95172i	−0.174466	−	0.382027i	0.802117	−	0.597166i	$-0.203707\pi$
$107$	−1.80469	−	3.95172i	−0.174466	−	0.382027i	−0.976583	+	0.215139i	$0.930980\pi$
$108$	1.53833	−	0.988626i	0.148026	−	0.0951305i
$109$	−13.0250	−	3.82449i	−1.24757	−	0.366320i	−0.409716	−	0.912213i	$-0.634372\pi$
$109$	−13.0250	−	3.82449i	−1.24757	−	0.366320i	−0.837855	+	0.545893i	$0.816191\pi$
$110$	−4.77613	+	5.51195i	−0.455386	+	0.525544i
$111$	0.834658	−	0.245078i	0.0792222	−	0.0232617i
$112$	−0.415415	+	0.909632i	−0.0392530	+	0.0859521i
$113$	−2.69141	−	18.7192i	−0.253187	−	1.76095i	−0.578819	−	0.815456i	$-0.696486\pi$
$113$	−2.69141	−	18.7192i	−0.253187	−	1.76095i	0.325632	−	0.945497i	$-0.394423\pi$
$114$	0.194262			0.0181943
$115$	−6.84827	−	2.84397i	−0.638604	−	0.265201i
$116$	3.27686			0.304249
$117$	1.16675	+	8.11492i	0.107866	+	0.750225i
$118$	−0.178936	+	0.391815i	−0.0164724	+	0.0360695i
$119$	−4.59616	+	1.34955i	−0.421329	+	0.123713i
$120$	0.313607	−	0.361922i	0.0286283	−	0.0330388i
$121$	−10.7940	−	3.16939i	−0.981268	−	0.288126i
$122$	7.09729	−	4.56115i	0.642559	−	0.412947i
$123$	0.379166	+	0.830259i	0.0341883	+	0.0748619i
$124$	2.13079	+	2.45906i	0.191350	+	0.220830i
$125$	9.89772	+	6.36088i	0.885279	+	0.568935i
$126$	0.413293	−	2.87451i	0.0368190	−	0.256082i
$127$	−1.17532	+	8.17451i	−0.104292	+	0.725370i	0.868835	+	0.495102i	$0.164869\pi$
$127$	−1.17532	+	8.17451i	−0.104292	+	0.725370i	−0.973127	+	0.230268i	$0.926040\pi$
$128$	−0.841254	−	0.540641i	−0.0743570	−	0.0477863i
$129$	0.807803	+	0.932254i	0.0711231	+	0.0820804i
$130$	1.81329	+	3.97056i	0.159036	+	0.348241i
$131$	14.1678	−	9.10511i	1.23785	−	0.795517i	0.252754	−	0.967530i	$-0.418664\pi$
$131$	14.1678	−	9.10511i	1.23785	−	0.795517i	0.985095	+	0.172013i	$0.0550272\pi$
$132$	1.40176	+	0.411595i	0.122008	+	0.0358247i
$133$	0.410738	−	0.474017i	0.0356155	−	0.0411025i
$134$	1.12750	−	0.331065i	0.0974015	−	0.0285997i
$135$	−1.17455	+	2.57190i	−0.101089	+	0.221354i
$136$	−0.681716	−	4.74144i	−0.0584567	−	0.406575i
$137$	2.88328			0.246335			0.123168	−	0.992386i	$-0.460695\pi$
$137$	2.88328			0.246335			0.123168	+	0.992386i	$0.460695\pi$
$138$	0.0516623	+	1.48447i	0.00439779	+	0.126367i
$139$	−18.7607			−1.59126			−0.795630	−	0.605783i	$-0.792860\pi$
$139$	−18.7607			−1.59126			−0.795630	+	0.605783i	$0.792860\pi$
$140$	−0.220047	−	1.53046i	−0.0185974	−	0.129348i
$141$	−0.320908	+	0.702691i	−0.0270254	+	0.0591773i
$142$	5.17736	−	1.52021i	0.434474	−	0.127573i
$143$	−8.72028	+	10.0637i	−0.729226	+	0.841572i
$144$	2.78644	+	0.818172i	0.232203	+	0.0681810i
$145$	−4.26236	+	2.73925i	−0.353970	+	0.227483i
$146$	1.12081	+	2.45423i	0.0927589	+	0.203114i
$147$	0.202824	+	0.234072i	0.0167287	+	0.0193059i
$148$	2.36277	+	1.51846i	0.194219	+	0.124817i
$149$	1.69376	−	11.7803i	0.138758	−	0.965082i	−0.794855	−	0.606799i	$-0.792453\pi$
$149$	1.69376	−	11.7803i	0.138758	−	0.965082i	0.933613	−	0.358283i	$-0.116638\pi$
$150$	0.115011	−	0.799919i	0.00939061	−	0.0653132i
$151$	−1.12786	−	0.724833i	−0.0917841	−	0.0589860i	0.493944	−	0.869494i	$-0.335555\pi$
$151$	−1.12786	−	0.724833i	−0.0917841	−	0.0589860i	−0.585728	+	0.810508i	$0.699191\pi$
$152$	0.410738	+	0.474017i	0.0333153	+	0.0384479i
$153$	5.77887	+	12.6540i	0.467194	+	1.02301i
$154$	3.96815	−	2.55018i	0.319763	−	0.205499i
$155$	−4.82723	−	1.41740i	−0.387733	−	0.113849i
$156$	0.572585	−	0.660799i	0.0458435	−	0.0529062i
$157$	−17.9704	+	5.27658i	−1.43419	+	0.421117i	−0.904281	−	0.426937i	$-0.859593\pi$
$157$	−17.9704	+	5.27658i	−1.43419	+	0.421117i	−0.529910	+	0.848054i	$0.677774\pi$
$158$	5.13701	−	11.2485i	0.408678	−	0.894881i
$159$	0.143293	+	0.996626i	0.0113639	+	0.0790376i
$160$	1.54620			0.122238
$161$	3.73149	+	3.01264i	0.294082	+	0.237429i
$162$	−8.14586			−0.639999
$163$	2.89117	+	20.1085i	0.226454	+	1.57502i	0.712872	+	0.701295i	$0.247394\pi$
$163$	2.89117	+	20.1085i	0.226454	+	1.57502i	−0.486418	+	0.873726i	$0.661697\pi$
$164$	−1.22422	+	2.68066i	−0.0955953	+	0.209325i
$165$	−2.16741	+	0.636408i	−0.168732	+	0.0495443i
$166$	−8.84799	+	10.2111i	−0.686737	+	0.792537i
$167$	12.6980	+	3.72847i	0.982602	+	0.288518i	0.733298	−	0.679908i	$-0.237980\pi$
$167$	12.6980	+	3.72847i	0.982602	+	0.288518i	0.249304	+	0.968425i	$0.419798\pi$
$168$	−0.260554	+	0.167448i	−0.0201022	+	0.0129189i
$169$	−2.08968	−	4.57576i	−0.160745	−	0.351981i
$170$	4.85029	+	5.59754i	0.372000	+	0.429311i
$171$	−1.53232	−	0.984764i	−0.117180	−	0.0753068i
$172$	−0.566807	+	3.94223i	−0.0432186	+	0.300592i
$173$	0.839146	−	5.83639i	0.0637991	−	0.443733i	−0.932736	−	0.360560i	$-0.882586\pi$
$173$	0.839146	−	5.83639i	0.0637991	−	0.443733i	0.996535	−	0.0831726i	$-0.0265053\pi$
$174$	0.853799	+	0.548704i	0.0647264	+	0.0415971i
$175$	−1.70870	−	1.97195i	−0.129166	−	0.149065i
$176$	1.95949	+	4.29069i	0.147702	+	0.323423i
$177$	−0.112231	+	0.0721267i	−0.00843582	+	0.00542137i
$178$	16.6980	+	4.90296i	1.25156	+	0.367493i
$179$	−12.1414	+	14.0119i	−0.907491	+	1.04730i	0.0911834	+	0.995834i	$0.470935\pi$
$179$	−12.1414	+	14.0119i	−0.907491	+	1.04730i	−0.998675	+	0.0514667i	$0.983610\pi$
$180$	−4.30839	+	1.26506i	−0.321128	+	0.0942918i
$181$	1.68269	−	3.68458i	0.125074	−	0.273873i	−0.836729	−	0.547617i	$-0.815535\pi$
$181$	1.68269	−	3.68458i	0.125074	−	0.273873i	0.961802	+	0.273744i	$0.0882622\pi$
$182$	−0.401763	−	2.79432i	−0.0297807	−	0.207129i
$183$	2.61299			0.193157
$184$	−3.51302	+	3.26476i	−0.258983	+	0.240681i
$185$	−4.34271			−0.319283
$186$	0.143421	+	0.997514i	0.0105161	+	0.0731413i
$187$	−9.38635	+	20.5532i	−0.686398	+	1.50300i
$188$	−2.39315	+	0.702691i	−0.174538	+	0.0512490i
$189$	1.19749	−	1.38198i	0.0871046	−	0.100524i
$190$	−0.930515	−	0.273224i	−0.0675067	−	0.0198218i
$191$	−10.7040	+	6.87903i	−0.774512	+	0.497749i	−0.867208	−	0.497946i	$-0.834088\pi$
$191$	−10.7040	+	6.87903i	−0.774512	+	0.497749i	0.0926959	+	0.995694i	$0.470452\pi$
$192$	−0.128663	−	0.281733i	−0.00928545	−	0.0203323i
$193$	11.3761	+	13.1287i	0.818867	+	0.945023i	0.999256	−	0.0385721i	$-0.0122809\pi$
$193$	11.3761	+	13.1287i	0.818867	+	0.945023i	−0.180388	+	0.983595i	$0.557735\pi$
$194$	−9.95235	−	6.39599i	−0.714537	−	0.459205i
$195$	−0.192401	+	1.33818i	−0.0137781	+	0.0958289i
$196$	−0.142315	+	0.989821i	−0.0101653	+	0.0707015i
$197$	4.85195	+	3.11816i	0.345687	+	0.222159i	0.701950	−	0.712226i	$-0.252313\pi$
$197$	4.85195	+	3.11816i	0.345687	+	0.222159i	−0.356263	+	0.934386i	$0.615949\pi$
$198$	−8.97053	−	10.3525i	−0.637508	−	0.735723i
$199$	−2.44256	−	5.34847i	−0.173149	−	0.379143i	0.803085	−	0.595865i	$-0.203191\pi$
$199$	−2.44256	−	5.34847i	−0.173149	−	0.379143i	−0.976233	+	0.216722i	$0.930463\pi$
$200$	2.19505	−	1.41067i	0.155214	−	0.0997498i
$201$	0.349212	+	0.102538i	0.0246315	+	0.00723247i
$202$	−11.6977	+	13.4999i	−0.823047	+	0.949847i
$203$	3.14412	−	0.923198i	0.220674	−	0.0647958i
$204$	0.616321	−	1.34955i	0.0431511	−	0.0944877i
$205$	−0.648474	−	4.51023i	−0.0452914	−	0.315008i
$206$	2.99816			0.208892
$207$	7.11768	−	11.9713i	0.494713	−	0.832064i
$208$	2.82306			0.195744
$209$	−0.421044	−	2.92843i	−0.0291242	−	0.202564i
$210$	0.198939	−	0.435615i	0.0137281	−	0.0300603i
$211$	7.89447	−	2.31803i	0.543478	−	0.159580i	0.00154120	−	0.999999i	$-0.499509\pi$
$211$	7.89447	−	2.31803i	0.543478	−	0.159580i	0.541937	+	0.840419i	$0.317691\pi$
$212$	−2.12889	+	2.45687i	−0.146213	+	0.168738i
$213$	1.60354	+	0.470842i	0.109873	+	0.0322615i
$214$	3.65466	−	2.34871i	0.249828	−	0.160554i
$215$	−2.55819	−	5.60166i	−0.174467	−	0.382030i
$216$	1.19749	+	1.38198i	0.0814789	+	0.0940316i
$217$	2.73727	+	1.75914i	0.185818	+	0.119418i
$218$	1.93191	−	13.4367i	0.130846	−	0.910050i
$219$	−0.118925	+	0.827138i	−0.00803618	+	0.0558928i
$220$	−6.13556	−	3.94308i	−0.413659	−	0.265843i
$221$	8.85568	+	10.2200i	0.595698	+	0.687472i
$222$	0.361367	+	0.791284i	0.0242534	+	0.0531075i
$223$	17.9392	−	11.5288i	1.20130	−	0.772028i	0.222119	−	0.975020i	$-0.428703\pi$
$223$	17.9392	−	11.5288i	1.20130	−	0.772028i	0.979181	+	0.202991i	$0.0650662\pi$
$224$	−0.959493	−	0.281733i	−0.0641088	−	0.0188240i
$225$	−4.96220	+	5.72669i	−0.330814	+	0.381779i
$226$	18.1456	−	5.32804i	1.20703	−	0.354416i
$227$	−3.01458	+	6.60102i	−0.200085	+	0.438125i	−0.982903	−	0.184126i	$-0.941055\pi$
$227$	−3.01458	+	6.60102i	−0.200085	+	0.438125i	0.782818	+	0.622251i	$0.213782\pi$
$228$	0.0276463	+	0.192284i	0.00183092	+	0.0127343i
$229$	9.43941			0.623774			0.311887	−	0.950119i	$-0.399039\pi$
$229$	9.43941			0.623774			0.311887	+	0.950119i	$0.399039\pi$
$230$	1.84041	−	7.18330i	0.121353	−	0.473653i
$231$	1.46094			0.0961229
$232$	0.466346	+	3.24350i	0.0306171	+	0.212947i
$233$	−5.05547	+	11.0699i	−0.331195	+	0.725215i	−0.999831	−	0.0183743i	$-0.994151\pi$
$233$	−5.05547	+	11.0699i	−0.331195	+	0.725215i	0.668637	+	0.743589i	$0.266878\pi$
$234$	−7.86628	+	2.30975i	−0.514235	+	0.150993i
$235$	2.52547	−	2.91455i	0.164744	−	0.190124i
$236$	−0.413293	−	0.121354i	−0.0269031	−	0.00789945i
$237$	3.22201	−	2.07066i	0.209292	−	0.134504i
$238$	−1.98992	−	4.35731i	−0.128987	−	0.282443i
$239$	−4.66198	−	5.38021i	−0.301558	−	0.348017i	0.584665	−	0.811275i	$-0.301226\pi$
$239$	−4.66198	−	5.38021i	−0.301558	−	0.348017i	−0.886224	+	0.463258i	$0.846680\pi$
$240$	0.402869	+	0.258908i	0.0260051	+	0.0167125i
$241$	3.71790	−	25.8585i	0.239491	−	1.66570i	−0.415148	−	0.909754i	$-0.636270\pi$
$241$	3.71790	−	25.8585i	0.239491	−	1.66570i	0.654639	−	0.755941i	$-0.272821\pi$
$242$	1.60099	−	11.1351i	0.102916	−	0.715794i
$243$	−6.73743	−	4.32988i	−0.432206	−	0.277762i
$244$	5.52478	+	6.37593i	0.353688	+	0.408177i
$245$	−0.642315	−	1.40647i	−0.0410360	−	0.0898563i
$246$	−0.767847	+	0.493465i	−0.0489561	+	0.0314622i
$247$	−1.69894	−	0.498853i	−0.108101	−	0.0317413i
$248$	−2.13079	+	2.45906i	−0.135305	+	0.156150i
$249$	−4.01521	+	1.17897i	−0.254454	+	0.0747144i
$250$	−4.88754	+	10.7022i	−0.309115	+	0.676868i
$251$	−2.33918	−	16.2694i	−0.147648	−	1.02691i	−0.920056	−	0.391787i	$-0.871857\pi$
$251$	−2.33918	−	16.2694i	−0.147648	−	1.02691i	0.772408	−	0.635127i	$-0.219052\pi$
$252$	2.90407			0.182939
$253$	22.2659	−	3.99625i	1.39985	−	0.251242i
$254$	−8.25857			−0.518189
$255$	0.326468	+	2.27063i	0.0204442	+	0.142193i
$256$	0.415415	−	0.909632i	0.0259634	−	0.0568520i
$257$	9.19884	−	2.70102i	0.573808	−	0.168485i	0.0180613	−	0.999837i	$-0.494251\pi$
$257$	9.19884	−	2.70102i	0.573808	−	0.168485i	0.555747	+	0.831352i	$0.312432\pi$
$258$	−0.807803	+	0.932254i	−0.0502916	+	0.0580396i
$259$	2.69487	+	0.791284i	0.167451	+	0.0491680i
$260$	−3.67208	+	2.35990i	−0.227733	+	0.146355i
$261$	−3.95319	−	8.65627i	−0.244696	−	0.535810i
$262$	11.0287	+	12.7278i	0.681357	+	0.786328i
$263$	22.8076	+	14.6575i	1.40638	+	0.903823i	0.999951	−	0.00986176i	$-0.00313915\pi$
$263$	22.8076	+	14.6575i	1.40638	+	0.903823i	0.406424	+	0.913684i	$0.366776\pi$
$264$	−0.207914	+	1.44607i	−0.0127962	+	0.0889995i
$265$	0.715352	−	4.97538i	0.0439437	−	0.305635i
$266$	0.527646	+	0.339098i	0.0323521	+	0.0207914i
$267$	3.52973	+	4.07353i	0.216016	+	0.249296i
$268$	0.488156	+	1.06891i	0.0298189	+	0.0652942i
$269$	−18.7200	+	12.0306i	−1.14138	+	0.733518i	−0.967904	−	0.251321i	$-0.919135\pi$
$269$	−18.7200	+	12.0306i	−1.14138	+	0.733518i	−0.173472	+	0.984839i	$0.555499\pi$
$270$	−2.71288	−	0.796573i	−0.165101	−	0.0484779i
$271$	8.06207	−	9.30412i	0.489736	−	0.565185i	−0.456059	−	0.889949i	$-0.650739\pi$
$271$	8.06207	−	9.30412i	0.489736	−	0.565185i	0.945795	+	0.324764i	$0.105285\pi$
$272$	4.59616	−	1.34955i	0.278683	−	0.0818287i
$273$	0.363223	−	0.795348i	0.0219833	−	0.0481366i
$274$	0.410334	+	2.85393i	0.0247892	+	0.172412i
$275$	−12.3078			−0.742187
$276$	−1.46201	+	0.262399i	−0.0880027	+	0.0157946i
$277$	−18.4012			−1.10562			−0.552810	−	0.833308i	$-0.686444\pi$
$277$	−18.4012			−1.10562			−0.552810	+	0.833308i	$0.686444\pi$
$278$	−2.66992	−	18.5697i	−0.160131	−	1.11374i
$279$	3.92537	−	8.59536i	0.235006	−	0.514591i
$280$	1.48357	−	0.435615i	0.0886602	−	0.0260330i
$281$	18.2746	−	21.0900i	1.09017	−	1.25812i	0.126230	−	0.992001i	$-0.459712\pi$
$281$	18.2746	−	21.0900i	1.09017	−	1.25812i	0.963939	−	0.266122i	$-0.0857424\pi$
$282$	−0.741209	−	0.217639i	−0.0441384	−	0.0129602i
$283$	−13.1311	+	8.43884i	−0.780562	+	0.501637i	−0.869220	−	0.494425i	$-0.835379\pi$
$283$	−13.1311	+	8.43884i	−0.780562	+	0.501637i	0.0886580	+	0.996062i	$0.471742\pi$
$284$	2.24155	+	4.90831i	0.133012	+	0.291255i
$285$	−0.196699	−	0.227003i	−0.0116514	−	0.0134465i
$286$	−11.2023	−	7.19930i	−0.662408	−	0.425704i
$287$	−0.419398	+	2.91698i	−0.0247563	+	0.172184i
$288$	−0.413293	+	2.87451i	−0.0243535	+	0.169382i
$289$	5.00207	+	3.21463i	0.294239	+	0.189096i
$290$	−3.31797	−	3.82914i	−0.194838	−	0.224855i
$291$	−1.52213	−	3.33300i	−0.0892289	−	0.195384i
$292$	−2.26974	+	1.45868i	−0.132827	+	0.0853626i
$293$	6.87501	+	2.01869i	0.401643	+	0.117933i	0.476314	−	0.879275i	$-0.341973\pi$
$293$	6.87501	+	2.01869i	0.401643	+	0.117933i	−0.0746713	+	0.997208i	$0.523791\pi$
$294$	−0.202824	+	0.234072i	−0.0118290	+	0.0136513i
$295$	0.639033	−	0.187637i	0.0372060	−	0.0109247i
$296$	−1.16675	+	2.55482i	−0.0678159	+	0.148496i
$297$	−1.22754	−	8.53771i	−0.0712289	−	0.495408i
$298$	11.9015			0.689433
$299$	3.36023	−	13.1153i	0.194327	−	0.758477i
$300$	0.808145			0.0466583
$301$	0.566807	+	3.94223i	0.0326702	+	0.227226i
$302$	0.556943	−	1.21954i	0.0320485	−	0.0701764i
$303$	−5.30841	+	1.55869i	−0.304960	+	0.0895444i
$304$	−0.410738	+	0.474017i	−0.0235574	+	0.0271867i
$305$	−12.5162	−	3.67510i	−0.716677	−	0.210435i
$306$	−11.7027	+	7.52089i	−0.669001	+	0.429941i
$307$	−11.2218	−	24.5723i	−0.640460	−	1.40241i	−0.899661	−	0.436589i	$-0.856186\pi$
$307$	−11.2218	−	24.5723i	−0.640460	−	1.40241i	0.259201	−	0.965823i	$-0.416541\pi$
$308$	3.08895	+	3.56484i	0.176009	+	0.203125i
$309$	0.781184	+	0.502036i	0.0444400	+	0.0285599i
$310$	0.715990	−	4.97982i	0.0406655	−	0.282835i
$311$	2.57291	−	17.8950i	0.145896	−	1.01473i	−0.776950	−	0.629562i	$-0.783234\pi$
$311$	2.57291	−	17.8950i	0.145896	−	1.01473i	0.922846	−	0.385169i	$-0.125857\pi$
$312$	0.735560	+	0.472716i	0.0416429	+	0.0267623i
$313$	1.24895	+	1.44136i	0.0705947	+	0.0814706i	0.789948	−	0.613173i	$-0.210107\pi$
$313$	1.24895	+	1.44136i	0.0705947	+	0.0814706i	−0.719354	+	0.694644i	$0.755562\pi$
$314$	−7.78032	−	17.0365i	−0.439069	−	0.961426i
$315$	−3.77746	+	2.42763i	−0.212836	+	0.136781i
$316$	11.8651	+	3.48390i	0.667462	+	0.195984i
$317$	−9.56788	+	11.0419i	−0.537386	+	0.620176i	−0.957897	−	0.287111i	$-0.907305\pi$
$317$	−9.56788	+	11.0419i	−0.537386	+	0.620176i	0.420512	+	0.907287i	$0.361851\pi$
$318$	−0.966089	+	0.283669i	−0.0541756	+	0.0159074i
$319$	6.42098	−	14.0600i	0.359506	−	0.787208i
$320$	0.220047	+	1.53046i	0.0123010	+	0.0855554i
$321$	1.34553			0.0750999
$322$	−2.45093	+	4.12225i	−0.136585	+	0.229724i
$323$	−3.00448			−0.167174
$324$	−1.15928	−	8.06294i	−0.0644042	−	0.447941i
$325$	−3.05999	+	6.70045i	−0.169738	+	0.371674i
$326$	−19.4924	+	5.72348i	−1.07958	+	0.316994i
$327$	2.75332	−	3.17750i	0.152259	−	0.175716i
$328$	−2.82760	−	0.830259i	−0.156128	−	0.0458434i
$329$	−2.09824	+	1.34845i	−0.115680	+	0.0743427i
$330$	−0.938384	−	2.05478i	−0.0516564	−	0.113112i
$331$	14.3632	+	16.5760i	0.789471	+	0.911098i	0.997755	−	0.0669702i	$-0.0213333\pi$
$331$	14.3632	+	16.5760i	0.789471	+	0.911098i	−0.208284	+	0.978068i	$0.566788\pi$
$332$	−11.3664	−	7.30474i	−0.623812	−	0.400899i
$333$	1.16079	−	8.07346i	0.0636108	−	0.442423i
$334$	−1.88341	+	13.0994i	−0.103055	+	0.716766i
$335$	−1.52851	−	0.982315i	−0.0835115	−	0.0536696i
$336$	−0.202824	−	0.234072i	−0.0110650	−	0.0127697i
$337$	0.963823	+	2.11048i	0.0525028	+	0.114965i	0.934065	−	0.357102i	$-0.116235\pi$
$337$	0.963823	+	2.11048i	0.0525028	+	0.114965i	−0.881563	+	0.472067i	$0.843508\pi$
$338$	4.23179	−	2.71961i	0.230179	−	0.147927i
$339$	5.62009	+	1.65021i	0.305241	+	0.0896269i
$340$	−4.85029	+	5.59754i	−0.263044	+	0.303569i
$341$	14.7263	−	4.32404i	0.797475	−	0.234160i
$342$	0.756669	−	1.65687i	0.0409159	−	0.0895934i
$343$	0.142315	+	0.989821i	0.00768428	+	0.0534453i
$344$	−3.98277			−0.214736
$345$	1.68236	−	1.56347i	0.0905750	−	0.0841742i
$346$	5.89641			0.316993
$347$	−2.08310	−	14.4883i	−0.111827	−	0.777770i	−0.966141	−	0.258014i	$-0.916932\pi$
$347$	−2.08310	−	14.4883i	−0.111827	−	0.777770i	0.854315	−	0.519756i	$-0.173977\pi$
$348$	−0.421610	+	0.923198i	−0.0226007	+	0.0494886i
$349$	−19.5253	+	5.73314i	−1.04516	+	0.306888i	−0.758862	−	0.651251i	$-0.774244\pi$
$349$	−19.5253	+	5.73314i	−1.04516	+	0.306888i	−0.286303	+	0.958139i	$0.592426\pi$
$350$	1.70870	−	1.97195i	0.0913341	−	0.105405i
$351$	−4.95319	−	1.45439i	−0.264382	−	0.0776294i
$352$	−3.96815	+	2.55018i	−0.211503	+	0.135925i
$353$	7.01541	+	15.3616i	0.373392	+	0.817615i	0.999289	+	0.0377091i	$0.0120060\pi$
$353$	7.01541	+	15.3616i	0.373392	+	0.817615i	−0.625896	+	0.779906i	$0.715267\pi$
$354$	−0.0873647	−	0.100824i	−0.00464338	−	0.00535875i
$355$	−7.01874	−	4.51067i	−0.372516	−	0.239402i
$356$	−2.47669	+	17.2258i	−0.131264	+	0.912963i
$357$	0.211142	−	1.46853i	0.0111748	−	0.0777226i
$358$	−15.5972	−	10.0237i	−0.824338	−	0.529770i
$359$	19.6918	+	22.7256i	1.03929	+	1.19941i	0.979551	+	0.201196i	$0.0644830\pi$
$359$	19.6918	+	22.7256i	1.03929	+	1.19941i	0.0597440	+	0.998214i	$0.480972\pi$
$360$	−1.86533	−	4.08450i	−0.0983115	−	0.215272i
$361$	−15.6529	+	10.0595i	−0.823835	+	0.529447i
$362$	3.88655	+	1.14119i	0.204273	+	0.0599799i
$363$	2.28170	−	2.63322i	0.119758	−	0.138208i
$364$	2.70870	−	0.795348i	0.141975	−	0.0416875i
$365$	1.73300	−	3.79474i	0.0907092	−	0.198626i
$366$	0.371867	+	2.58639i	0.0194378	+	0.135193i
$367$	32.5270			1.69789			0.848947	−	0.528478i	$-0.177237\pi$
$367$	32.5270			1.69789			0.848947	+	0.528478i	$0.177237\pi$
$368$	−3.73149	−	3.01264i	−0.194517	−	0.157045i
$369$	8.55823			0.445524
$370$	−0.618032	−	4.29851i	−0.0321300	−	0.223469i
$371$	−1.35047	+	2.95712i	−0.0701131	+	0.153526i
$372$	−0.966950	+	0.283922i	−0.0501340	+	0.0147207i
$373$	13.5717	−	15.6626i	0.702717	−	0.810979i	−0.286400	−	0.958110i	$-0.592459\pi$
$373$	13.5717	−	15.6626i	0.702717	−	0.810979i	0.989117	+	0.147131i	$0.0470040\pi$
$374$	−21.6799	−	6.36578i	−1.12104	−	0.329167i
$375$	−3.06554	+	1.97010i	−0.158304	+	0.101736i
$376$	−1.03612	−	2.26879i	−0.0534338	−	0.117004i
$377$	−6.05796	−	6.99126i	−0.312001	−	0.360068i
$378$	1.53833	+	0.988626i	0.0791232	+	0.0508494i
$379$	−1.36089	+	9.46518i	−0.0699041	+	0.486194i	0.924553	+	0.381053i	$0.124438\pi$
$379$	−1.36089	+	9.46518i	−0.0699041	+	0.486194i	−0.994457	+	0.105141i	$0.966471\pi$
$380$	0.138017	−	0.959928i	0.00708011	−	0.0492433i
$381$	−2.15180	−	1.38288i	−0.110240	−	0.0708471i
$382$	−8.33234	−	9.61604i	−0.426320	−	0.491999i
$383$	−7.27898	−	15.9387i	−0.371938	−	0.814432i	−0.999361	−	0.0357523i	$-0.988617\pi$
$383$	−7.27898	−	15.9387i	−0.371938	−	0.814432i	0.627422	−	0.778679i	$-0.284110\pi$
$384$	0.260554	−	0.167448i	0.0132964	−	0.00854505i
$385$	−6.99792	−	2.05478i	−0.356647	−	0.104721i
$386$	−11.3761	+	13.1287i	−0.579027	+	0.668232i
$387$	11.0977	−	3.25859i	0.564130	−	0.165643i
$388$	4.91452	−	10.7613i	0.249497	−	0.546322i
$389$	−0.887586	−	6.17330i	−0.0450024	−	0.312999i	−0.999872	−	0.0159746i	$-0.994915\pi$
$389$	−0.887586	−	6.17330i	−0.0450024	−	0.312999i	0.954870	−	0.297024i	$-0.0959942\pi$
$390$	−1.35194			−0.0684581
$391$	−0.799017	−	22.9591i	−0.0404080	−	1.16109i
$392$	−1.00000			−0.0505076
$393$	0.742332	+	5.16303i	0.0374457	+	0.260440i
$394$	−2.39591	+	5.24632i	−0.120704	+	0.264306i
$395$	−18.3458	+	5.38680i	−0.923075	+	0.271039i
$396$	8.97053	−	10.3525i	0.450786	−	0.520235i
$397$	16.7024	+	4.90428i	0.838271	+	0.246139i	0.672566	−	0.740037i	$-0.265192\pi$
$397$	16.7024	+	4.90428i	0.838271	+	0.246139i	0.165705	+	0.986175i	$0.447010\pi$
$398$	4.94641	−	3.17887i	0.247941	−	0.159342i
$399$	0.0806993	+	0.176707i	0.00404002	+	0.00884640i
$400$	1.70870	+	1.97195i	0.0854352	+	0.0985975i
$401$	7.93717	+	5.10091i	0.396363	+	0.254727i	0.723606	−	0.690213i	$-0.242483\pi$
$401$	7.93717	+	5.10091i	0.396363	+	0.254727i	−0.327243	+	0.944940i	$0.606120\pi$
$402$	−0.0517962	+	0.360250i	−0.00258336	+	0.0179677i
$403$	1.30726	−	9.09217i	0.0651191	−	0.452913i
$404$	−15.0272	−	9.65740i	−0.747632	−	0.480474i
$405$	8.24805	+	9.51876i	0.409849	+	0.472991i
$406$	1.36126	+	2.98074i	0.0675580	+	0.147931i
$407$	11.1451	−	7.16252i	0.552442	−	0.355033i
$408$	1.42353	+	0.417986i	0.0704752	+	0.0206934i
$409$	−0.642618	+	0.741621i	−0.0317754	+	0.0366708i	−0.771415	−	0.636333i	$-0.780451\pi$
$409$	−0.642618	+	0.741621i	−0.0317754	+	0.0366708i	0.739639	+	0.673003i	$0.234996\pi$
$410$	4.37204	−	1.28375i	0.215920	−	0.0633997i
$411$	−0.370971	+	0.812314i	−0.0182987	+	0.0400685i
$412$	0.426683	+	2.96765i	0.0210212	+	0.146205i
$413$	−0.430741			−0.0211954
$414$	12.8624	+	5.34154i	0.632153	+	0.262522i
$415$	20.8911			1.02550
$416$	0.401763	+	2.79432i	0.0196981	+	0.137003i
$417$	2.41380	−	5.28549i	0.118205	−	0.258832i
$418$	2.83870	−	0.833517i	0.138845	−	0.0407687i
$419$	−9.52140	+	10.9883i	−0.465151	+	0.536813i	−0.939056	−	0.343763i	$-0.888298\pi$
$419$	−9.52140	+	10.9883i	−0.465151	+	0.536813i	0.473906	+	0.880576i	$0.342844\pi$
$420$	0.459493	+	0.134919i	0.0224210	+	0.00658339i
$421$	−21.8201	+	14.0229i	−1.06345	+	0.683436i	−0.950676	−	0.310186i	$-0.899609\pi$
$421$	−21.8201	+	14.0229i	−1.06345	+	0.683436i	−0.112770	+	0.993621i	$0.535972\pi$
$422$	3.41793	+	7.48423i	0.166382	+	0.364327i
$423$	4.74334	+	5.47410i	0.230629	+	0.266160i
$424$	−2.73483	−	1.75757i	−0.132815	−	0.0853552i
$425$	−1.77878	+	12.3717i	−0.0862834	+	0.600114i
$426$	−0.237842	+	1.65423i	−0.0115235	+	0.0801475i
$427$	7.09729	+	4.56115i	0.343462	+	0.220730i
$428$	2.84492	+	3.28321i	0.137514	+	0.158700i
$429$	−1.71331	−	3.75162i	−0.0827192	−	0.181130i
$430$	5.18057	−	3.32935i	0.249829	−	0.160556i
$431$	3.22474	+	0.946868i	0.155330	+	0.0456090i	0.358473	−	0.933540i	$-0.383297\pi$
$431$	3.22474	+	0.946868i	0.155330	+	0.0456090i	−0.203143	+	0.979149i	$0.565116\pi$
$432$	−1.19749	+	1.38198i	−0.0576143	+	0.0664904i
$433$	−24.1203	+	7.08237i	−1.15915	+	0.340357i	−0.804102	−	0.594491i	$-0.797354\pi$
$433$	−24.1203	+	7.08237i	−1.15915	+	0.340357i	−0.355048	+	0.934848i	$0.615535\pi$
$434$	−1.35168	+	2.95976i	−0.0648826	+	0.142073i
$435$	−0.223329	−	1.55329i	−0.0107078	−	0.0744744i
$436$	13.5749			0.650120
$437$	1.71328	+	2.47241i	0.0819575	+	0.118271i
$438$	−0.835644			−0.0399286
$439$	4.69803	+	32.6755i	0.224225	+	1.55952i	0.721803	+	0.692098i	$0.243314\pi$
$439$	4.69803	+	32.6755i	0.224225	+	1.55952i	−0.497578	+	0.867419i	$0.665777\pi$
$440$	3.02977	−	6.63427i	0.144439	−	0.316276i
$441$	2.78644	−	0.818172i	0.132687	−	0.0389606i
$442$	−8.85568	+	10.2200i	−0.421222	+	0.486116i
$443$	−6.27816	−	1.84343i	−0.298284	−	0.0875842i	0.129166	−	0.991623i	$-0.458770\pi$
$443$	−6.27816	−	1.84343i	−0.298284	−	0.0875842i	−0.427450	+	0.904039i	$0.640588\pi$
$444$	−0.731802	+	0.470301i	−0.0347298	+	0.0223195i
$445$	−11.1781	−	24.4767i	−0.529895	−	1.16031i
$446$	13.9645	+	16.1159i	0.661239	+	0.763110i
$447$	3.10098	+	1.99288i	0.146671	+	0.0942599i
$448$	0.142315	−	0.989821i	0.00672374	−	0.0467647i
$449$	−2.42438	+	16.8619i	−0.114414	+	0.795765i	0.849124	+	0.528193i	$0.177130\pi$
$449$	−2.42438	+	16.8619i	−0.114414	+	0.795765i	−0.963538	+	0.267572i	$0.913779\pi$
$450$	−6.37459	−	4.09670i	−0.300501	−	0.193120i
$451$	9.10305	+	10.5055i	0.428646	+	0.494684i
$452$	7.85619	+	17.2027i	0.369524	+	0.809145i
$453$	0.349323	−	0.224496i	0.0164126	−	0.0105478i
$454$	−6.96285	−	2.04448i	−0.326783	−	0.0959521i
$455$	−2.85848	+	3.29886i	−0.134007	+	0.154653i
$456$	−0.186393	+	0.0547299i	−0.00872864	+	0.00256296i
$457$	0.424962	−	0.930538i	0.0198789	−	0.0435287i	−0.899432	−	0.437060i	$-0.856020\pi$
$457$	0.424962	−	0.930538i	0.0198789	−	0.0435287i	0.919311	+	0.393532i	$0.128747\pi$
$458$	1.34337	+	9.34333i	0.0627715	+	0.436585i
$459$	−8.75944			−0.408856
$460$	7.37210	+	0.799386i	0.343726	+	0.0372716i
$461$	−41.4665			−1.93129			−0.965643	−	0.259872i	$-0.916320\pi$
$461$	−41.4665			−1.93129			−0.965643	+	0.259872i	$0.916320\pi$
$462$	0.207914	+	1.44607i	0.00967302	+	0.0672773i
$463$	−5.77510	+	12.6457i	−0.268392	+	0.587696i	−0.995058	−	0.0992948i	$-0.968341\pi$
$463$	−5.77510	+	12.6457i	−0.268392	+	0.587696i	0.726666	+	0.686990i	$0.241069\pi$
$464$	−3.14412	+	0.923198i	−0.145962	+	0.0428584i
$465$	1.02041	−	1.17762i	0.0473206	−	0.0546109i
$466$	−11.6767	−	3.42859i	−0.540914	−	0.158827i
$467$	−20.9082	+	13.4369i	−0.967514	+	0.621784i	−0.926068	−	0.377357i	$-0.876833\pi$
$467$	−20.9082	+	13.4369i	−0.967514	+	0.621784i	−0.0414463	+	0.999141i	$0.513197\pi$
$468$	−3.40572	−	7.45750i	−0.157430	−	0.344723i
$469$	0.769529	+	0.888084i	0.0355336	+	0.0410079i
$470$	3.24429	+	2.08498i	0.149648	+	0.0961730i
$471$	0.825537	−	5.74174i	0.0380387	−	0.264565i
$472$	0.0613008	−	0.426356i	0.00282160	−	0.0196246i
$473$	15.8042	+	10.1568i	0.726679	+	0.467009i
$474$	2.50812	+	2.89452i	0.115202	+	0.132950i
$475$	−0.679855	−	1.48867i	−0.0311939	−	0.0683051i
$476$	4.02977	−	2.58978i	0.184704	−	0.118702i
$477$	9.05843	+	2.65980i	0.414757	+	0.121784i
$478$	4.66198	−	5.38021i	0.213234	−	0.246085i
$479$	17.7378	−	5.20828i	0.810460	−	0.237973i	0.149857	−	0.988708i	$-0.452119\pi$
$479$	17.7378	−	5.20828i	0.810460	−	0.237973i	0.660603	+	0.750735i	$0.270301\pi$
$480$	−0.198939	+	0.435615i	−0.00908027	+	0.0198830i
$481$	−1.12841	−	7.84824i	−0.0514509	−	0.357849i
$482$	26.1245			1.18994
$483$	−1.32886	+	0.663666i	−0.0604654	+	0.0301979i
$484$	11.2496			0.511347
$485$	2.60324	+	18.1059i	0.118207	+	0.822149i
$486$	3.32698	−	7.28506i	0.150915	−	0.330457i
$487$	29.1675	−	8.56434i	1.32170	−	0.388087i	0.456596	−	0.889674i	$-0.349068\pi$
$487$	29.1675	−	8.56434i	1.32170	−	0.388087i	0.865107	+	0.501587i	$0.167250\pi$
$488$	−5.52478	+	6.37593i	−0.250095	+	0.288625i
$489$	−6.03721	−	1.77269i	−0.273012	−	0.0801636i
$490$	1.30075	−	0.835939i	0.0587617	−	0.0377639i
$491$	15.8272	+	34.6568i	0.714272	+	1.56404i	0.821761	+	0.569832i	$0.192992\pi$
$491$	15.8272	+	34.6568i	0.714272	+	1.56404i	−0.107489	+	0.994206i	$0.534281\pi$
$492$	−0.597718	−	0.689804i	−0.0269472	−	0.0310988i
$493$	−13.2050	−	8.48633i	−0.594722	−	0.382205i
$494$	0.251992	−	1.75264i	0.0113376	−	0.0788550i
$495$	−3.01429	+	20.9648i	−0.135482	+	0.942300i
$496$	−2.73727	−	1.75914i	−0.122907	−	0.0789876i
$497$	3.53358	+	4.07797i	0.158503	+	0.182922i
$498$	−1.73840	−	3.80656i	−0.0778995	−	0.170576i
$499$	−17.7033	+	11.3772i	−0.792509	+	0.509315i	−0.873164	−	0.487427i	$-0.837935\pi$
$499$	−17.7033	+	11.3772i	−0.792509	+	0.509315i	0.0806541	+	0.996742i	$0.474299\pi$
$500$	−11.2889	−	3.31471i	−0.504853	−	0.148238i
$501$	−2.68420	+	3.09773i	−0.119921	+	0.138396i
$502$	15.7709	−	4.63075i	0.703889	−	0.206680i
$503$	15.1545	−	33.1837i	0.675706	−	1.47959i	−0.191424	−	0.981507i	$-0.561311\pi$
$503$	15.1545	−	33.1837i	0.675706	−	1.47959i	0.867130	−	0.498082i	$-0.165962\pi$
$504$	0.413293	+	2.87451i	0.0184095	+	0.128041i
$505$	27.6196			1.22906
$506$	7.12435	+	21.4706i	0.316716	+	0.954483i
$507$	1.55800			0.0691934
$508$	−1.17532	−	8.17451i	−0.0521462	−	0.362685i
$509$	−13.5100	+	29.5828i	−0.598822	+	1.31124i	0.331141	+	0.943581i	$0.392567\pi$
$509$	−13.5100	+	29.5828i	−0.598822	+	1.31124i	−0.929962	+	0.367655i	$0.880161\pi$
$510$	−2.20106	+	0.646290i	−0.0974646	+	0.0286182i
$511$	−1.76685	+	2.03905i	−0.0781607	+	0.0902023i
$512$	0.959493	+	0.281733i	0.0424040	+	0.0124509i
$513$	0.964864	−	0.620080i	0.0425998	−	0.0273772i
$514$	3.98266	+	8.72082i	0.175668	+	0.384659i
$515$	−3.03578	−	3.50347i	−0.133772	−	0.154381i
$516$	−1.03773	−	0.666907i	−0.0456834	−	0.0293589i
$517$	−1.67432	+	11.6452i	−0.0736367	+	0.512154i
$518$	−0.399710	+	2.78005i	−0.0175623	+	0.122148i
$519$	1.53633	+	0.987342i	0.0674376	+	0.0433395i
$520$	−2.85848	−	3.29886i	−0.125352	−	0.144664i
$521$	−2.47038	−	5.40938i	−0.108229	−	0.236989i	0.847766	−	0.530370i	$-0.177947\pi$
$521$	−2.47038	−	5.40938i	−0.108229	−	0.236989i	−0.955996	+	0.293381i	$0.905220\pi$
$522$	8.00557	−	5.14486i	0.350394	−	0.225185i
$523$	35.2966	+	10.3640i	1.54341	+	0.453187i	0.939124	−	0.343578i	$-0.111639\pi$
$523$	35.2966	+	10.3640i	1.54341	+	0.453187i	0.604289	+	0.796765i	$0.293457\pi$
$524$	−11.0287	+	12.7278i	−0.481792	+	0.556018i
$525$	0.775410	−	0.227681i	0.0338417	−	0.00993681i
$526$	−11.2625	+	24.6614i	−0.491068	+	1.07529i
$527$	−2.21817	−	15.4277i	−0.0966249	−	0.672041i
$528$	−1.46094			−0.0635793
$529$	−18.4376	+	13.7498i	−0.801633	+	0.597816i
$530$	5.02655			0.218339
$531$	0.178022	+	1.23817i	0.00772549	+	0.0537320i
$532$	−0.260554	+	0.570534i	−0.0112965	+	0.0247358i
$533$	7.98249	−	2.34387i	0.345760	−	0.101524i
$534$	−3.52973	+	4.07353i	−0.152746	+	0.176279i
$535$	−6.44508	−	1.89245i	−0.278645	−	0.0818175i
$536$	−0.988560	+	0.635309i	−0.0426993	+	0.0274412i
$537$	−2.38547	−	5.22345i	−0.102941	−	0.225408i
$538$	−14.5723	−	16.8173i	−0.628255	−	0.725045i
$539$	3.96815	+	2.55018i	0.170920	+	0.109844i
$540$	0.402382	−	2.79863i	0.0173158	−	0.120434i
$541$	2.68694	−	18.6881i	0.115521	−	0.803463i	−0.846871	−	0.531798i	$-0.821517\pi$
$541$	2.68694	−	18.6881i	0.115521	−	0.803463i	0.962392	−	0.271665i	$-0.0875743\pi$
$542$	10.3568	+	6.65589i	0.444862	+	0.285895i
$543$	0.821567	+	0.948139i	0.0352568	+	0.0406885i
$544$	1.98992	+	4.35731i	0.0853171	+	0.186818i
$545$	−17.6575	+	11.3478i	−0.756365	+	0.486086i
$546$	0.838944	+	0.246336i	0.0359035	+	0.0105422i
$547$	−9.44485	+	10.8999i	−0.403833	+	0.466048i	−0.920844	−	0.389931i	$-0.872499\pi$
$547$	−9.44485	+	10.8999i	−0.403833	+	0.466048i	0.517012	+	0.855978i	$0.327044\pi$
$548$	−2.76649	+	0.812314i	−0.118179	+	0.0347003i
$549$	10.1778	−	22.2864i	0.434379	−	0.951158i
$550$	−1.75158	−	12.1825i	−0.0746876	−	0.519464i
$551$	2.05529			0.0875584
$552$	−0.467794	−	1.40979i	−0.0199106	−	0.0600045i
$553$	12.3660			0.525854
$554$	−2.61876	−	18.2139i	−0.111260	−	0.773833i
$555$	0.558746	−	1.22348i	0.0237175	−	0.0519340i
$556$	18.0007	−	5.28549i	0.763401	−	0.224155i
$557$	−15.8409	+	18.2814i	−0.671202	+	0.774608i	−0.984564	−	0.175026i	$-0.943999\pi$
$557$	−15.8409	+	18.2814i	−0.671202	+	0.774608i	0.313362	+	0.949634i	$0.398545\pi$
$558$	9.06651	+	2.66217i	0.383816	+	0.112699i
$559$	9.45871	−	6.07874i	0.400061	−	0.257103i
$560$	0.642315	+	1.40647i	0.0271428	+	0.0594343i
$561$	−4.58284	−	5.28888i	−0.193488	−	0.223297i
$562$	23.4761	+	15.0871i	0.990278	+	0.636413i
$563$	−0.198669	+	1.38178i	−0.00837292	+	0.0582349i	−0.993580	−	0.113136i	$-0.963910\pi$
$563$	−0.198669	+	1.38178i	−0.00837292	+	0.0582349i	0.985207	+	0.171371i	$0.0548196\pi$
$564$	0.109938	−	0.764638i	0.00462924	−	0.0321971i
$565$	−24.5993	−	15.8090i	−1.03490	−	0.665090i
$566$	−10.2217	−	11.7965i	−0.429650	−	0.495842i
$567$	−3.38391	−	7.40973i	−0.142111	−	0.311179i
$568$	−4.53935	+	2.91726i	−0.190467	+	0.122406i
$569$	−34.9562	−	10.2641i	−1.46544	−	0.430292i	−0.550827	−	0.834620i	$-0.685687\pi$
$569$	−34.9562	−	10.2641i	−1.46544	−	0.430292i	−0.914614	+	0.404328i	$0.867506\pi$
$570$	0.196699	−	0.227003i	0.00823881	−	0.00950810i
$571$	−3.42329	+	1.00517i	−0.143260	+	0.0420651i	−0.352577	−	0.935783i	$-0.614694\pi$
$571$	−3.42329	+	1.00517i	−0.143260	+	0.0420651i	0.209316	+	0.977848i	$0.432876\pi$
$572$	5.53176	−	12.1129i	0.231295	−	0.506465i
$573$	−0.560841	−	3.90073i	−0.0234295	−	0.162956i
$574$	−2.94697			−0.123004
$575$	11.1951	−	5.59109i	0.466867	−	0.233165i
$576$	−2.90407			−0.121003
$577$	−1.40021	−	9.73865i	−0.0582914	−	0.405425i	−0.997987	−	0.0634143i	$-0.979801\pi$
$577$	−1.40021	−	9.73865i	−0.0582914	−	0.405425i	0.939696	−	0.342011i	$-0.111108\pi$
$578$	−2.47005	+	5.40865i	−0.102740	+	0.224970i
$579$	−5.16246	+	1.51583i	−0.214544	+	0.0629959i
$580$	3.31797	−	3.82914i	0.137771	−	0.158996i
$581$	−12.9640	−	3.80656i	−0.537835	−	0.157923i
$582$	3.08246	−	1.98097i	0.127772	−	0.0821140i
$583$	6.37012	+	13.9486i	0.263823	+	0.577693i
$584$	−1.76685	−	2.03905i	−0.0731126	−	0.0843765i
$585$	10.6640	+	6.85333i	0.440902	+	0.283351i
$586$	−1.01972	+	7.09233i	−0.0421243	+	0.292981i
$587$	5.60969	−	39.0163i	0.231537	−	1.61037i	−0.459923	−	0.887959i	$-0.652123\pi$
$587$	5.60969	−	39.0163i	0.231537	−	1.61037i	0.691460	−	0.722415i	$-0.256968\pi$
$588$	−0.260554	−	0.167448i	−0.0107451	−	0.00690544i
$589$	1.33646	+	1.54236i	0.0550678	+	0.0635517i
$590$	0.276671	+	0.605825i	0.0113904	+	0.0249414i
$591$	−1.50275	+	0.965760i	−0.0618150	+	0.0397261i
$592$	−2.69487	−	0.791284i	−0.110758	−	0.0325216i
$593$	17.6085	−	20.3213i	0.723094	−	0.834495i	−0.268582	−	0.963257i	$-0.586555\pi$
$593$	17.6085	−	20.3213i	0.723094	−	0.834495i	0.991676	+	0.128762i	$0.0411004\pi$
$594$	8.27611	−	2.43009i	0.339573	−	0.0997076i
$595$	−3.07681	+	6.73728i	−0.126137	+	0.276202i
$596$	1.69376	+	11.7803i	0.0693789	+	0.482541i
$597$	1.82110			0.0745329
$598$	13.4600	+	1.45952i	0.550421	+	0.0596843i
$599$	−40.2347			−1.64394			−0.821972	−	0.569528i	$-0.807126\pi$
$599$	−40.2347			−1.64394			−0.821972	+	0.569528i	$0.807126\pi$
$600$	0.115011	+	0.799919i	0.00469531	+	0.0326566i
$601$	−13.4203	+	29.3863i	−0.547424	+	1.19869i	0.410550	+	0.911838i	$0.365337\pi$
$601$	−13.4203	+	29.3863i	−0.547424	+	1.19869i	−0.957974	+	0.286854i	$0.907391\pi$
$602$	−3.82144	+	1.12208i	−0.155750	+	0.0457324i
$603$	2.23477	−	2.57906i	0.0910068	−	0.105027i
$604$	1.28638	+	0.377716i	0.0523422	+	0.0153691i
$605$	−14.6329	+	9.40402i	−0.594913	+	0.382328i
$606$	−2.29829	−	5.03256i	−0.0933617	−	0.204434i
$607$	−15.4637	−	17.8461i	−0.627652	−	0.724349i	0.349489	−	0.936940i	$-0.386355\pi$
$607$	−15.4637	−	17.8461i	−0.627652	−	0.724349i	−0.977141	+	0.212591i	$0.931810\pi$
$608$	−0.527646	−	0.339098i	−0.0213989	−	0.0137522i
$609$	−0.144437	+	1.00458i	−0.00585289	+	0.0407078i
$610$	1.85644	−	12.9118i	0.0751652	−	0.522785i
$611$	5.92345	+	3.80677i	0.239637	+	0.154005i
$612$	−9.10982	−	10.5133i	−0.368243	−	0.424975i
$613$	−3.78968	−	8.29825i	−0.153064	−	0.335163i	0.817530	−	0.575886i	$-0.195343\pi$
$613$	−3.78968	−	8.29825i	−0.153064	−	0.335163i	−0.970594	+	0.240723i	$0.922616\pi$
$614$	22.7251	−	14.6045i	0.917111	−	0.589392i
$615$	1.35411	+	0.397604i	0.0546032	+	0.0160329i
$616$	−3.08895	+	3.56484i	−0.124457	+	0.143631i
$617$	−42.1265	+	12.3694i	−1.69595	+	0.497975i	−0.979801	−	0.199974i	$-0.935914\pi$
$617$	−42.1265	+	12.3694i	−1.69595	+	0.497975i	−0.716147	+	0.697950i	$0.754096\pi$
$618$	−0.385752	+	0.844680i	−0.0155172	+	0.0339780i
$619$	−3.33222	−	23.1761i	−0.133933	−	0.931525i	−0.940357	−	0.340188i	$-0.889509\pi$
$619$	−3.33222	−	23.1761i	−0.133933	−	0.931525i	0.806424	−	0.591337i	$-0.201400\pi$
$620$	5.03103			0.202051
$621$	4.99501	+	7.20821i	0.200443	+	0.289255i
$622$	18.0790			0.724902
$623$	2.47669	+	17.2258i	0.0992265	+	0.690135i
$624$	−0.363223	+	0.795348i	−0.0145406	+	0.0318394i
$625$	4.93699	−	1.44963i	0.197480	−	0.0579853i
$626$	−1.24895	+	1.44136i	−0.0499180	+	0.0576084i
$627$	0.879206	+	0.258158i	0.0351121	+	0.0103098i
$628$	15.7559	−	10.1257i	0.628727	−	0.404058i
$629$	−5.58896	−	12.2381i	−0.222846	−	0.487965i
$630$	−2.94051	−	3.39353i	−0.117153	−	0.135201i
$631$	−6.77099	−	4.35145i	−0.269549	−	0.173228i	0.398883	−	0.917002i	$-0.369398\pi$
$631$	−6.77099	−	4.35145i	−0.269549	−	0.173228i	−0.668432	+	0.743773i	$0.733034\pi$
$632$	−1.75986	+	12.2401i	−0.0700035	+	0.486885i
$633$	−0.362663	+	2.52237i	−0.0144145	+	0.100255i
$634$	−12.2912	−	7.89907i	−0.488145	−	0.313712i
$635$	8.36218	+	9.65047i	0.331843	+	0.382967i
$636$	−0.418271	−	0.915885i	−0.0165855	−	0.0363172i
$637$	2.37491	−	1.52626i	0.0940973	−	0.0604727i
$638$	14.8307	+	4.35468i	0.587152	+	0.172403i
$639$	10.2618	−	11.8427i	0.405950	−	0.468491i
$640$	−1.48357	+	0.435615i	−0.0586432	+	0.0172192i
$641$	−9.18941	+	20.1220i	−0.362960	+	0.794771i	0.636759	+	0.771063i	$0.280275\pi$
$641$	−9.18941	+	20.1220i	−0.362960	+	0.794771i	−0.999719	+	0.0237083i	$0.992453\pi$
$642$	0.191488	+	1.33183i	0.00755744	+	0.0525631i
$643$	−11.3476			−0.447507			−0.223754	−	0.974646i	$-0.571831\pi$
$643$	−11.3476			−0.447507			−0.223754	+	0.974646i	$0.571831\pi$
$644$	−4.42909	−	1.83933i	−0.174531	−	0.0724796i
$645$	1.90731			0.0751004
$646$	−0.427582	−	2.97390i	−0.0168230	−	0.117006i
$647$	16.1894	−	35.4498i	0.636471	−	1.39368i	−0.266441	−	0.963851i	$-0.585848\pi$
$647$	16.1894	−	35.4498i	0.636471	−	1.39368i	0.902912	−	0.429826i	$-0.141425\pi$
$648$	7.81589	−	2.29495i	0.307037	−	0.0901543i
$649$	−1.33054	+	1.53552i	−0.0522281	+	0.0602744i
$650$	−7.06773	−	2.07527i	−0.277219	−	0.0813989i
$651$	−0.847791	+	0.544842i	−0.0332276	+	0.0213541i
$652$	−8.43928	−	18.4794i	−0.330508	−	0.723711i
$653$	22.9014	+	26.4297i	0.896202	+	1.03427i	0.999216	+	0.0395925i	$0.0126060\pi$
$653$	22.9014	+	26.4297i	0.896202	+	1.03427i	−0.103014	+	0.994680i	$0.532849\pi$
$654$	3.53700	+	2.27309i	0.138308	+	0.0888849i
$655$	3.70589	−	25.7750i	0.144801	−	1.00711i
$656$	0.419398	−	2.91698i	0.0163748	−	0.113889i
$657$	6.59150	+	4.23610i	0.257159	+	0.165266i
$658$	−1.63334	−	1.88497i	−0.0636742	−	0.0734840i
$659$	−12.9425	−	28.3401i	−0.504168	−	1.10397i	−0.975092	−	0.221801i	$-0.928807\pi$
$659$	−12.9425	−	28.3401i	−0.504168	−	1.10397i	0.470924	−	0.882174i	$-0.343921\pi$
$660$	1.90031	−	1.22126i	0.0739696	−	0.0475374i
$661$	−22.4240	−	6.58429i	−0.872194	−	0.256099i	−0.185146	−	0.982711i	$-0.559276\pi$
$661$	−22.4240	−	6.58429i	−0.872194	−	0.256099i	−0.687048	+	0.726612i	$0.741094\pi$
$662$	−14.3632	+	16.5760i	−0.558240	+	0.644244i
$663$	−4.01871	+	1.18000i	−0.156074	+	0.0458273i
$664$	5.61278	−	12.2903i	0.217818	−	0.476955i
$665$	−0.138017	−	0.959928i	−0.00535206	−	0.0372244i
$666$	8.15648			0.316057
$667$	0.546588	+	15.7058i	0.0211640	+	0.608129i
$668$	−13.2341			−0.512042
$669$	0.939936	+	6.53740i	0.0363400	+	0.252750i
$670$	0.754787	−	1.65275i	0.0291599	−	0.0638514i
$671$	38.1829	−	11.2115i	1.47404	−	0.432816i
$672$	0.202824	−	0.234072i	0.00782412	−	0.00902952i
$673$	−2.70982	−	0.795675i	−0.104456	−	0.0306710i	0.229087	−	0.973406i	$-0.426426\pi$
$673$	−2.70982	−	0.795675i	−0.104456	−	0.0306710i	−0.333543	+	0.942735i	$0.608244\pi$
$674$	−1.95183	+	1.25437i	−0.0751817	+	0.0483164i
$675$	−1.98209	−	4.34017i	−0.0762907	−	0.167053i
$676$	3.29417	+	3.80168i	0.126699	+	0.146218i
$677$	−5.14486	−	3.30640i	−0.197733	−	0.127075i	0.438028	−	0.898961i	$-0.355677\pi$
$677$	−5.14486	−	3.30640i	−0.197733	−	0.127075i	−0.635761	+	0.771886i	$0.719313\pi$
$678$	−0.833588	+	5.79773i	−0.0320138	+	0.222661i
$679$	1.68364	−	11.7100i	0.0646121	−	0.449387i
$680$	−6.23083	−	4.00431i	−0.238941	−	0.153558i
$681$	−1.47186	−	1.69861i	−0.0564017	−	0.0650910i
$682$	6.37580	+	13.9610i	0.244142	+	0.534596i
$683$	−26.8756	+	17.2719i	−1.02837	+	0.660891i	−0.942083	−	0.335380i	$-0.891135\pi$
$683$	−26.8756	+	17.2719i	−1.02837	+	0.660891i	−0.0862829	+	0.996271i	$0.527499\pi$
$684$	1.74769	+	0.513169i	0.0668247	+	0.0196215i
$685$	2.91945	−	3.36923i	0.111547	−	0.128732i
$686$	−0.959493	+	0.281733i	−0.0366336	+	0.0107566i
$687$	−1.21450	+	2.65939i	−0.0463362	+	0.101462i
$688$	−0.566807	−	3.94223i	−0.0216093	−	0.150296i
$689$	9.17749			0.349634
$690$	1.78698	+	1.44273i	0.0680291	+	0.0549237i
$691$	−21.5291			−0.819007			−0.409504	−	0.912309i	$-0.634298\pi$
$691$	−21.5291			−0.819007			−0.409504	+	0.912309i	$0.634298\pi$
$692$	0.839146	+	5.83639i	0.0318996	+	0.221866i
$693$	5.69051	−	12.4605i	0.216165	−	0.473334i
$694$	14.0443	−	4.12379i	0.533116	−	0.156537i
$695$	−18.9960	+	21.9226i	−0.720561	+	0.831572i
$696$	−0.973802	−	0.285934i	−0.0369119	−	0.0108383i
$697$	11.8756	−	7.63200i	0.449821	−	0.289083i
$698$	−8.45353	−	18.5106i	−0.319971	−	0.700638i
$699$	−2.46831	−	2.84858i	−0.0933600	−	0.107743i
$700$	2.19505	+	1.41067i	0.0829652	+	0.0533185i
$701$	−0.686185	+	4.77252i	−0.0259169	+	0.180256i	−0.998668	−	0.0515958i	$-0.983569\pi$
$701$	−0.686185	+	4.77252i	−0.0259169	+	0.180256i	0.972751	+	0.231851i	$0.0744783\pi$
$702$	0.734671	−	5.10975i	0.0277284	−	0.192855i
$703$	1.48197	+	0.952402i	0.0558934	+	0.0359205i
$704$	−3.08895	−	3.56484i	−0.116419	−	0.134355i
$705$	0.496189	+	1.08650i	0.0186875	+	0.0409200i
$706$	−14.2068	+	9.13018i	−0.534682	+	0.343619i
$707$	−17.1393	−	5.03256i	−0.644590	−	0.189269i
$708$	0.0873647	−	0.100824i	0.00328337	−	0.00378921i
$709$	12.5210	−	3.67651i	0.470238	−	0.138074i	−0.0380243	−	0.999277i	$-0.512106\pi$
$709$	12.5210	−	3.67651i	0.470238	−	0.138074i	0.508262	+	0.861203i	$0.330288\pi$
$710$	3.46589	−	7.58924i	0.130072	−	0.284819i
$711$	−5.11076	−	35.5461i	−0.191669	−	1.33308i
$712$	−17.4029			−0.652201
$713$	−11.4307	+	10.6229i	−0.428082	+	0.397830i
$714$	1.48363			0.0555233
$715$	2.93020	+	20.3800i	0.109583	+	0.762169i
$716$	7.70198	−	16.8650i	0.287836	−	0.630274i
$717$	2.11560	−	0.621197i	0.0790087	−	0.0231990i
$718$	−19.6918	+	22.7256i	−0.734892	+	0.848111i
$719$	13.7935	+	4.05014i	0.514411	+	0.151045i	0.528627	−	0.848854i	$-0.322707\pi$
$719$	13.7935	+	4.05014i	0.514411	+	0.151045i	−0.0142160	+	0.999899i	$0.504525\pi$
$720$	3.77746	−	2.42763i	0.140778	−	0.0904723i
$721$	1.24548	+	2.72722i	0.0463842	+	0.101567i
$722$	−12.1847	−	14.0619i	−0.453469	−	0.523331i
$723$	6.80684	+	4.37449i	0.253149	+	0.162689i
$724$	−0.576465	+	4.00940i	−0.0214241	+	0.149008i
$725$	1.21682	−	8.46316i	0.0451915	−	0.314314i
$726$	2.93114	+	1.88373i	0.108785	+	0.0699118i
$727$	−27.3960	−	31.6167i	−1.01606	−	1.17260i	−0.984907	−	0.173084i	$-0.944627\pi$
$727$	−27.3960	−	31.6167i	−1.01606	−	1.17260i	−0.0311549	−	0.999515i	$-0.509919\pi$
$728$	1.17274	+	2.56794i	0.0434647	+	0.0951744i
$729$	−18.4715	+	11.8709i	−0.684128	+	0.439663i
$730$	4.00274	+	1.17531i	0.148148	+	0.0435002i
$731$	12.4936	−	14.4184i	0.462092	−	0.533283i
$732$	−2.50714	+	0.736163i	−0.0926666	+	0.0272094i
$733$	−8.91794	+	19.5276i	−0.329392	+	0.721267i	−0.999785	−	0.0207389i	$-0.993398\pi$
$733$	−8.91794	+	19.5276i	−0.329392	+	0.721267i	0.670393	+	0.742006i	$0.266125\pi$
$734$	4.62907	+	32.1959i	0.170862	+	1.18837i
$735$	0.478891			0.0176642
$736$	2.45093	−	4.12225i	0.0903425	−	0.151948i
$737$	5.54291			0.204176
$738$	1.21796	+	8.47112i	0.0448338	+	0.311826i
$739$	12.5255	−	27.4270i	0.460758	−	1.00892i	−0.526557	−	0.850140i	$-0.676517\pi$
$739$	12.5255	−	27.4270i	0.460758	−	1.00892i	0.987314	−	0.158778i	$-0.0507555\pi$
$740$	4.16680	−	1.22348i	0.153175	−	0.0449762i
$741$	0.359134	−	0.414462i	0.0131931	−	0.0152257i
$742$	−3.11922	−	0.915885i	−0.114510	−	0.0336232i
$743$	4.34631	−	2.79320i	0.159451	−	0.102473i	−0.458482	−	0.888704i	$-0.651607\pi$
$743$	4.34631	−	2.79320i	0.159451	−	0.102473i	0.617933	+	0.786231i	$0.287970\pi$
$744$	−0.418643	−	0.916701i	−0.0153482	−	0.0336079i
$745$	−12.0508	−	13.9073i	−0.441506	−	0.509526i
$746$	17.4346	+	11.2046i	0.638327	+	0.410228i
$747$	−5.58410	+	38.8383i	−0.204312	+	1.42102i
$748$	3.21562	−	22.3651i	0.117575	−	0.817750i
$749$	3.65466	+	2.34871i	0.133538	+	0.0858200i
$750$	−2.38632	−	2.75396i	−0.0871361	−	0.100560i
$751$	−9.58432	−	20.9867i	−0.349737	−	0.765817i	−0.999981	−	0.00609204i	$-0.998061\pi$
$751$	−9.58432	−	20.9867i	−0.349737	−	0.765817i	0.650245	−	0.759725i	$-0.274666\pi$
$752$	2.09824	−	1.34845i	0.0765148	−	0.0491731i
$753$	4.88458	+	1.43424i	0.178004	+	0.0522667i
$754$	6.05796	−	6.99126i	0.220618	−	0.254607i
$755$	−1.98901	+	0.584025i	−0.0723874	+	0.0212549i
$756$	−0.759635	+	1.66337i	−0.0276277	+	0.0604962i
$757$	−2.31915	−	16.1300i	−0.0842908	−	0.586255i	−0.987567	−	0.157197i	$-0.949754\pi$
$757$	−2.31915	−	16.1300i	−0.0842908	−	0.586255i	0.903277	−	0.429059i	$-0.141155\pi$
$758$	−9.56251			−0.347326
$759$	−1.73893	+	6.78721i	−0.0631191	+	0.246360i
$760$	0.969799			0.0351783
$761$	−6.41320	−	44.6048i	−0.232478	−	1.61692i	−0.687324	−	0.726351i	$-0.741215\pi$
$761$	−6.41320	−	44.6048i	−0.232478	−	1.61692i	0.454846	−	0.890570i	$-0.349694\pi$
$762$	1.06257	−	2.32671i	0.0384929	−	0.0842877i
$763$	13.0250	−	3.82449i	0.471538	−	0.138456i
$764$	8.33234	−	9.61604i	0.301454	−	0.347896i
$765$	20.6380	+	6.05987i	0.746170	+	0.219095i
$766$	14.7406	−	9.47321i	0.532599	−	0.342281i
$767$	0.505147	+	1.10612i	0.0182398	+	0.0399396i
$768$	0.202824	+	0.234072i	0.00731880	+	0.00844634i
$769$	−32.6962	−	21.0125i	−1.17905	−	0.757732i	−0.203842	−	0.979004i	$-0.565343\pi$
$769$	−32.6962	−	21.0125i	−1.17905	−	0.757732i	−0.975212	+	0.221272i	$0.928979\pi$
$770$	1.03795	−	7.21912i	0.0374052	−	0.260159i
$771$	−0.422584	+	2.93914i	−0.0152190	+	0.105850i
$772$	−14.6140	−	9.39187i	−0.525971	−	0.338021i
$773$	28.8929	+	33.3441i	1.03920	+	1.19931i	0.979574	+	0.201085i	$0.0644466\pi$
$773$	28.8929	+	33.3441i	1.03920	+	1.19931i	0.0596300	+	0.998221i	$0.481008\pi$
$774$	4.80479	+	10.5210i	0.172705	+	0.378171i
$775$	7.14226	−	4.59005i	0.256558	−	0.164880i
$776$	11.3512	+	3.33300i	0.407483	+	0.119648i
$777$	−0.569660	+	0.657423i	−0.0204364	+	0.0235849i
$778$	5.98415	−	1.75710i	0.214542	−	0.0629952i
$779$	−0.767847	+	1.68135i	−0.0275110	+	0.0602406i
$780$	−0.192401	−	1.33818i	−0.00688906	−	0.0479145i
$781$	25.4524			0.910757
$782$	22.6117	−	4.05830i	0.808592	−	0.145125i
$783$	5.99212			0.214141
$784$	−0.142315	−	0.989821i	−0.00508267	−	0.0353508i
$785$	−12.0299	+	26.3419i	−0.429367	+	0.940182i
$786$	−5.00483	+	1.46955i	−0.178516	+	0.0524172i
$787$	16.6058	−	19.1641i	0.591933	−	0.683127i	−0.378194	−	0.925726i	$-0.623455\pi$
$787$	16.6058	−	19.1641i	0.591933	−	0.683127i	0.970126	+	0.242600i	$0.0780001\pi$
$788$	−5.53389	−	1.62490i	−0.197137	−	0.0578846i
$789$	−7.06400	+	4.53976i	−0.251485	+	0.161620i
$790$	−7.94284	−	17.3924i	−0.282594	−	0.618794i
$791$	12.3845	+	14.2925i	0.440343	+	0.508183i
$792$	11.5238	+	7.40590i	0.409481	+	0.263157i
$793$	3.38950	−	23.5745i	0.120365	−	0.837155i
$794$	−2.47735	+	17.2304i	−0.0879180	+	0.611483i
$795$	1.30969	+	0.841685i	0.0464498	+	0.0298515i
$796$	3.85046	+	4.44367i	0.136476	+	0.157502i
$797$	−2.96116	−	6.48403i	−0.104890	−	0.229676i	0.849909	−	0.526929i	$-0.176657\pi$
$797$	−2.96116	−	6.48403i	−0.104890	−	0.229676i	−0.954799	+	0.297253i	$0.903929\pi$
$798$	−0.163423	+	0.105026i	−0.00578513	+	0.00371787i
$799$	11.4636	+	3.36603i	0.405555	+	0.119082i
$800$	−1.70870	+	1.97195i	−0.0604118	+	0.0697190i
$801$	48.4921	−	14.2386i	1.71338	−	0.503095i
$802$	−3.91941	+	8.58232i	−0.138399	+	0.303052i
$803$	1.81118	+	12.5970i	0.0639152	+	0.444540i
$804$	−0.363955			−0.0128357
$805$	7.29869	−	1.30996i	0.257245	−	0.0461699i
$806$	9.18567			0.323551
$807$	−0.980843	−	6.82191i	−0.0345273	−	0.240143i
$808$	7.42051	−	16.2486i	0.261053	−	0.571625i
$809$	25.3839	−	7.45340i	0.892452	−	0.262047i	0.196814	−	0.980441i	$-0.436940\pi$
$809$	25.3839	−	7.45340i	0.892452	−	0.262047i	0.695637	+	0.718393i	$0.255122\pi$
$810$	−8.24805	+	9.51876i	−0.289807	+	0.334455i
$811$	37.0218	+	10.8706i	1.30001	+	0.381718i	0.857240	−	0.514917i	$-0.172177\pi$
$811$	37.0218	+	10.8706i	1.30001	+	0.381718i	0.442771	+	0.896635i	$0.353995\pi$
$812$	−2.75667	+	1.77160i	−0.0967401	+	0.0621711i
$813$	1.58399	+	3.46844i	0.0555528	+	0.121644i
$814$	8.67573	+	10.0123i	0.304084	+	0.350932i
$815$	26.4251	+	16.9824i	0.925629	+	0.594866i
$816$	−0.211142	+	1.46853i	−0.00739145	+	0.0514087i
$817$	−0.355510	+	2.47262i	−0.0124377	+	0.0865061i
$818$	−0.825526	−	0.530533i	−0.0288638	−	0.0185497i
$819$	−5.36879	−	6.19591i	−0.187601	−	0.216503i
$820$	1.89289	+	4.14484i	0.0661024	+	0.144744i
$821$	29.9702	−	19.2607i	1.04597	−	0.672203i	0.0995122	−	0.995036i	$-0.468272\pi$
$821$	29.9702	−	19.2607i	1.04597	−	0.672203i	0.946456	+	0.322834i	$0.104635\pi$
$822$	−0.856841	−	0.251591i	−0.0298858	−	0.00877525i
$823$	18.3076	−	21.1282i	0.638165	−	0.736481i	−0.340885	−	0.940105i	$-0.610727\pi$
$823$	18.3076	−	21.1282i	0.638165	−	0.736481i	0.979049	+	0.203624i	$0.0652720\pi$
$824$	−2.87672	+	0.844680i	−0.100215	+	0.0294258i
$825$	1.58355	−	3.46750i	0.0551323	−	0.120723i
$826$	−0.0613008	−	0.426356i	−0.00213293	−	0.0148348i
$827$	−53.2321			−1.85106			−0.925531	−	0.378672i	$-0.876381\pi$
$827$	−53.2321			−1.85106			−0.925531	+	0.378672i	$0.876381\pi$
$828$	−3.45666	+	13.4917i	−0.120127	+	0.468868i
$829$	−42.1909			−1.46535			−0.732676	−	0.680578i	$-0.761729\pi$
$829$	−42.1909			−1.46535			−0.732676	+	0.680578i	$0.761729\pi$
$830$	2.97311	+	20.6785i	0.103198	+	0.717760i
$831$	2.36755	−	5.18421i	0.0821294	−	0.179838i
$832$	−2.70870	+	0.795348i	−0.0939074	+	0.0275737i
$833$	3.13691	−	3.62019i	0.108688	−	0.125432i
$834$	5.57522	+	1.63703i	0.193054	+	0.0566857i
$835$	17.2142	−	11.0629i	0.595722	−	0.382847i
$836$	1.22902	+	2.69118i	0.0425066	+	0.0930765i
$837$	3.89639	+	4.49668i	0.134679	+	0.155428i
$838$	−12.2315	−	7.86069i	−0.422529	−	0.271543i
$839$	−3.31810	+	23.0779i	−0.114553	+	0.796737i	0.848841	+	0.528648i	$0.177301\pi$
$839$	−3.31810	+	23.0779i	−0.114553	+	0.796737i	−0.963394	+	0.268088i	$0.913608\pi$
$840$	−0.0681534	+	0.474017i	−0.00235151	+	0.0163551i
$841$	−15.3631	−	9.87329i	−0.529763	−	0.340458i
$842$	−16.9855	−	19.6023i	−0.585360	−	0.675541i
$843$	3.59047	+	7.86204i	0.123662	+	0.270783i
$844$	−6.92163	+	4.44826i	−0.238252	+	0.153115i
$845$	−7.46285	−	2.19129i	−0.256730	−	0.0753827i
$846$	−4.74334	+	5.47410i	−0.163079	+	0.188204i
$847$	10.7940	−	3.16939i	0.370885	−	0.108902i
$848$	1.35047	−	2.95712i	0.0463755	−	0.101548i
$849$	−0.688011	−	4.78522i	−0.0236125	−	0.164228i
$850$	−12.4989			−0.428708
$851$	−6.88377	+	11.5779i	−0.235973	+	0.396885i
$852$	−1.67124			−0.0572556
$853$	0.146610	+	1.01969i	0.00501982	+	0.0349136i	0.992177	−	0.124836i	$-0.0398404\pi$
$853$	0.146610	+	1.01969i	0.00501982	+	0.0349136i	−0.987158	+	0.159750i	$0.948931\pi$
$854$	−3.50468	+	7.67417i	−0.119928	+	0.262605i
$855$	−2.70228	+	0.793462i	−0.0924162	+	0.0271358i
$856$	−2.84492	+	3.28321i	−0.0972372	+	0.112218i
$857$	20.3075	+	5.96283i	0.693693	+	0.203687i	0.609527	−	0.792765i	$-0.291359\pi$
$857$	20.3075	+	5.96283i	0.693693	+	0.203687i	0.0841656	+	0.996452i	$0.473178\pi$
$858$	3.46960	−	2.22978i	0.118450	−	0.0761234i
$859$	17.2525	+	37.7777i	0.588647	+	1.28896i	0.936256	+	0.351318i	$0.114267\pi$
$859$	17.2525	+	37.7777i	0.588647	+	1.28896i	−0.347609	+	0.937640i	$0.613006\pi$
$860$	4.03274	+	4.65402i	0.137515	+	0.158701i
$861$	−0.767847	−	0.493465i	−0.0261682	−	0.0168173i
$862$	−0.478302	+	3.32667i	−0.0162910	+	0.113307i
$863$	−5.34172	+	37.1525i	−0.181834	+	1.26469i	0.670587	+	0.741831i	$0.266042\pi$
$863$	−5.34172	+	37.1525i	−0.181834	+	1.26469i	−0.852421	+	0.522855i	$0.824867\pi$
$864$	−1.53833	−	0.988626i	−0.0523351	−	0.0336337i
$865$	−5.97038	−	6.89019i	−0.202999	−	0.234273i
$866$	−10.4430	−	22.8669i	−0.354866	−	0.777049i
$867$	−1.54925	+	0.995641i	−0.0526152	+	0.0338138i
$868$	−3.12200	−	0.916701i	−0.105967	−	0.0311149i
$869$	38.1978	−	44.0826i	1.29577	−	1.49540i
$870$	1.50569	−	0.442111i	0.0510478	−	0.0149890i
$871$	1.37809	−	3.01760i	0.0466949	−	0.102248i
$872$	1.93191	+	13.4367i	0.0654228	+	0.455025i
$873$	−34.3563			−1.16278
$874$	−2.20342	+	2.04771i	−0.0745317	+	0.0692647i
$875$	−11.7654			−0.397745
$876$	−0.118925	−	0.827138i	−0.00401809	−	0.0279464i
$877$	−2.77814	+	6.08328i	−0.0938112	+	0.205418i	−0.950720	−	0.310050i	$-0.899654\pi$
$877$	−2.77814	+	6.08328i	−0.0938112	+	0.205418i	0.856909	+	0.515467i	$0.172382\pi$
$878$	−31.6743	+	9.30042i	−1.06896	+	0.313874i
$879$	−1.45329	+	1.67719i	−0.0490182	+	0.0565701i
$880$	6.99792	+	2.05478i	0.235900	+	0.0692665i
$881$	−37.9573	+	24.3937i	−1.27882	+	0.821845i	−0.990741	−	0.135763i	$-0.956651\pi$
$881$	−37.9573	+	24.3937i	−1.27882	+	0.821845i	−0.288074	+	0.957608i	$0.593015\pi$
$882$	1.20640	+	2.64164i	0.0406214	+	0.0889486i
$883$	26.7322	+	30.8506i	0.899611	+	1.03821i	0.999068	+	0.0431646i	$0.0137440\pi$
$883$	26.7322	+	30.8506i	0.899611	+	1.03821i	−0.0994570	+	0.995042i	$0.531711\pi$
$884$	−11.3763	−	7.31109i	−0.382625	−	0.245898i
$885$	−0.0293564	+	0.204178i	−0.000986805	+	0.00686338i
$886$	0.931195	−	6.47661i	0.0312841	−	0.217586i
$887$	−14.8122	−	9.51922i	−0.497345	−	0.319624i	0.267808	−	0.963472i	$-0.413701\pi$
$887$	−14.8122	−	9.51922i	−0.497345	−	0.319624i	−0.765153	+	0.643848i	$0.777337\pi$
$888$	−0.569660	−	0.657423i	−0.0191165	−	0.0220617i
$889$	−3.43073	−	7.51226i	−0.115063	−	0.251953i
$890$	22.6368	−	14.5478i	0.758786	−	0.487642i
$891$	−36.8672	−	10.8252i	−1.23510	−	0.362657i
$892$	−13.9645	+	16.1159i	−0.467567	+	0.539601i
$893$	−1.50102	+	0.440738i	−0.0502296	+	0.0147487i
$894$	−1.53128	+	3.35303i	−0.0512136	+	0.112142i
$895$	4.07977	+	28.3754i	0.136372	+	0.948487i
$896$	1.00000			0.0334077
$897$	3.26267	+	2.63414i	0.108937	+	0.0879513i
$898$	−17.0353			−0.568477
$899$	1.51739	+	10.5537i	0.0506079	+	0.351986i
$900$	3.14780	−	6.89273i	0.104927	−	0.229758i
$901$	14.9417	−	4.38727i	0.497779	−	0.146161i
$902$	−9.10305	+	10.5055i	−0.303098	+	0.349794i
$903$	−1.18358	−	0.347531i	−0.0393871	−	0.0115651i
$904$	−15.9095	+	10.2244i	−0.529143	+	0.340059i
$905$	−2.60178	−	5.69710i	−0.0864861	−	0.189378i
$906$	0.271925	+	0.313818i	0.00903410	+	0.0104259i
$907$	11.3132	+	7.27057i	0.375650	+	0.241415i	0.714818	−	0.699310i	$-0.246509\pi$
$907$	11.3132	+	7.27057i	0.375650	+	0.241415i	−0.339169	+	0.940726i	$0.610146\pi$
$908$	1.03275	−	7.18294i	0.0342730	−	0.238374i
$909$	−7.38260	+	51.3471i	−0.244865	+	1.70308i
$910$	−3.67208	−	2.35990i	−0.121728	−	0.0782301i
$911$	−14.8470	−	17.1344i	−0.491904	−	0.567688i	0.454469	−	0.890762i	$-0.349829\pi$
$911$	−14.8470	−	17.1344i	−0.491904	−	0.567688i	−0.946373	+	0.323075i	$0.895283\pi$
$912$	−0.0806993	−	0.176707i	−0.00267222	−	0.00585134i
$913$	−53.6147	+	34.4561i	−1.77439	+	1.14033i
$914$	0.981545	+	0.288208i	0.0324666	+	0.00953306i
$915$	2.64577	−	3.05338i	0.0874664	−	0.100942i
$916$	−9.05705	+	2.65939i	−0.299253	+	0.0878687i
$917$	−6.99614	+	15.3194i	−0.231033	+	0.505892i
$918$	−1.24660	−	8.67028i	−0.0411439	−	0.286162i
$919$	10.6409			0.351012			0.175506	−	0.984478i	$-0.443844\pi$
$919$	10.6409			0.351012			0.175506	+	0.984478i	$0.443844\pi$
$920$	0.257910	+	7.41083i	0.00850305	+	0.244328i
$921$	8.36663			0.275690
$922$	−5.90130	−	41.0444i	−0.194349	−	1.35173i
$923$	6.32803	−	13.8565i	0.208290	−	0.456091i
$924$	−1.40176	+	0.411595i	−0.0461146	+	0.0135405i
$925$	4.79913	−	5.53849i	0.157794	−	0.182104i
$926$	−13.3389	−	3.91665i	−0.438342	−	0.128709i
$927$	7.32469	−	4.70730i	0.240575	−	0.154608i
$928$	−1.36126	−	2.98074i	−0.0446854	−	0.0978474i
$929$	−21.6686	−	25.0069i	−0.710924	−	0.820449i	0.279261	−	0.960215i	$-0.409911\pi$
$929$	−21.6686	−	25.0069i	−0.710924	−	0.820449i	−0.990185	+	0.139766i	$0.955365\pi$
$930$	1.31086	+	0.842435i	0.0429846	+	0.0276245i
$931$	−0.0892619	+	0.620830i	−0.00292544	+	0.0203469i
$932$	1.73193	−	12.0458i	0.0567311	−	0.394573i
$933$	4.71056	+	3.02729i	0.154217	+	0.0991091i
$934$	−16.2756	−	18.7831i	−0.532555	−	0.614601i
$935$	14.5132	+	31.7794i	0.474632	+	1.03930i
$936$	6.89691	−	4.43237i	0.225432	−	0.144877i
$937$	56.1756	+	16.4947i	1.83518	+	0.538857i	0.999939	−	0.0110299i	$-0.00351100\pi$
$937$	56.1756	+	16.4947i	1.83518	+	0.538857i	0.835239	+	0.549887i	$0.185329\pi$
$938$	−0.769529	+	0.888084i	−0.0251260	+	0.0289970i
$939$	−0.566772	+	0.166419i	−0.0184959	+	0.00543088i
$940$	−1.60205	+	3.50800i	−0.0522530	+	0.114418i
$941$	8.17470	+	56.8563i	0.266488	+	1.85346i	0.480974	+	0.876735i	$0.340283\pi$
$941$	8.17470	+	56.8563i	0.266488	+	1.85346i	−0.214486	+	0.976727i	$0.568808\pi$
$942$	5.80078			0.189000
$943$	−13.0524	−	5.42045i	−0.425046	−	0.176514i
$944$	0.430741			0.0140194
$945$	−0.402382	−	2.79863i	−0.0130895	−	0.0910395i
$946$	−7.80421	+	17.0888i	−0.253737	+	0.555606i
$947$	−41.6056	+	12.2165i	−1.35200	+	0.396983i	−0.875936	−	0.482427i	$-0.839755\pi$
$947$	−41.6056	+	12.2165i	−1.35200	+	0.396983i	−0.476065	+	0.879410i	$0.657937\pi$
$948$	−2.50812	+	2.89452i	−0.0814600	+	0.0940098i
$949$	7.30822	+	2.14589i	0.237235	+	0.0696585i
$950$	1.37677	−	0.884796i	0.0446683	−	0.0287066i
$951$	−1.87984	−	4.11627i	−0.0609579	−	0.133479i
$952$	3.13691	+	3.62019i	0.101668	+	0.117331i
$953$	7.77606	+	4.99737i	0.251891	+	0.161881i	0.660493	−	0.750832i	$-0.270347\pi$
$953$	7.77606	+	4.99737i	0.251891	+	0.161881i	−0.408602	+	0.912713i	$0.633984\pi$
$954$	−1.34357	+	9.34476i	−0.0434998	+	0.302548i
$955$	−2.79985	+	19.4734i	−0.0906009	+	0.630143i
$956$	5.98891	+	3.84884i	0.193695	+	0.124480i
$957$	3.13501	+	3.61800i	0.101341	+	0.116953i
$958$	7.67962	+	16.8160i	0.248117	+	0.543301i
$959$	−2.42557	+	1.55882i	−0.0783258	+	0.0503369i
$960$	−0.459493	−	0.134919i	−0.0148301	−	0.00435450i
$961$	13.3675	−	15.4270i	0.431211	−	0.497644i
$962$	7.60776	−	2.23384i	0.245284	−	0.0720219i
$963$	5.24095	−	11.4761i	0.168887	−	0.369812i
$964$	3.71790	+	25.8585i	0.119745	+	0.832848i
$965$	26.8602			0.864660
$966$	−0.846028	−	1.22089i	−0.0272205	−	0.0392814i
$967$	19.8477			0.638259			0.319130	−	0.947711i	$-0.396609\pi$
$967$	19.8477			0.638259			0.319130	+	0.947711i	$0.396609\pi$
$968$	1.60099	+	11.1351i	0.0514578	+	0.357897i
$969$	0.386565	−	0.846460i	0.0124183	−	0.0271922i
$970$	−17.5512	+	5.15349i	−0.563534	+	0.165469i
$971$	8.02314	−	9.25920i	0.257475	−	0.297142i	−0.612265	−	0.790653i	$-0.709741\pi$
$971$	8.02314	−	9.25920i	0.257475	−	0.297142i	0.869739	+	0.493511i	$0.164287\pi$
$972$	7.68439	+	2.25634i	0.246477	+	0.0723721i
$973$	15.7825	−	10.1428i	0.505963	−	0.325163i
$974$	12.6281	+	27.6517i	0.404631	+	0.886019i
$975$	−1.49403	−	1.72420i	−0.0478471	−	0.0552185i
$976$	−7.09729	−	4.56115i	−0.227179	−	0.145999i
$977$	−3.32395	+	23.1186i	−0.106343	+	0.739629i	0.864970	+	0.501823i	$0.167337\pi$
$977$	−3.32395	+	23.1186i	−0.106343	+	0.739629i	−0.971313	+	0.237806i	$0.923572\pi$
$978$	0.895457	−	6.22804i	0.0286336	−	0.199151i
$979$	69.0574	+	44.3805i	2.20708	+	1.41841i
$980$	1.01255	+	1.16854i	0.0323446	+	0.0373276i
$981$	−16.3767	−	35.8600i	−0.522868	−	1.14492i
$982$	−32.0516	+	20.5983i	−1.02281	+	0.657318i
$983$	−39.0626	−	11.4698i	−1.24590	−	0.365831i	−0.408674	−	0.912680i	$-0.634009\pi$
$983$	−39.0626	−	11.4698i	−1.24590	−	0.365831i	−0.837231	+	0.546850i	$0.815827\pi$
$984$	0.597718	−	0.689804i	0.0190546	−	0.0219901i
$985$	8.55651	−	2.51242i	0.272633	−	0.0800523i
$986$	6.52068	−	14.2783i	0.207661	−	0.454714i
$987$	−0.109938	−	0.764638i	−0.00349938	−	0.0243387i
$988$	1.77066			0.0563323
$989$	−18.9894	−	2.05909i	−0.603827	−	0.0654753i
$990$	−21.1804			−0.673158
$991$	4.55878	+	31.7070i	0.144814	+	1.00721i	0.924540	+	0.381085i	$0.124449\pi$
$991$	4.55878	+	31.7070i	0.144814	+	1.00721i	−0.779726	+	0.626121i	$0.784642\pi$
$992$	1.35168	−	2.95976i	0.0429158	−	0.0939725i
$993$	−6.51800	+	1.91386i	−0.206842	+	0.0607344i
$994$	−3.53358	+	4.07797i	−0.112079	+	0.129345i
$995$	−8.72311	−	2.56134i	−0.276541	−	0.0811998i
$996$	3.52041	−	2.26243i	0.111549	−	0.0716879i
$997$	5.17516	+	11.3320i	0.163899	+	0.358889i	0.973706	−	0.227807i	$-0.0731556\pi$
$997$	5.17516	+	11.3320i	0.163899	+	0.358889i	−0.809807	+	0.586696i	$0.800428\pi$
$998$	−13.7809	−	15.9040i	−0.436226	−	0.503432i
$999$	4.32061	+	2.77669i	0.136698	+	0.0878505i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	322.2.i.a.141.1	✓	10
23.8	even	11	inner	322.2.i.a.169.1	yes	10
23.10	odd	22		7406.2.a.bh.1.2		5
23.13	even	11		7406.2.a.bg.1.2		5

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
322.2.i.a.141.1	✓	10	1.1	even	1	trivial
322.2.i.a.169.1	yes	10	23.8	even	11	inner
7406.2.a.bg.1.2		5	23.13	even	11
7406.2.a.bh.1.2		5	23.10	odd	22

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:	\( N \)	\(=\)	\( 322 = 2 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	322.i (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.142315 + 0.989821i) q^{2} +(-0.128663 + 0.281733i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.01255 - 1.16854i) q^{5} +(-0.297176 - 0.0872586i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(1.90176 + 2.19475i) q^{9} +O(q^{10})\)	\(q+(0.142315 + 0.989821i) q^{2} +(-0.128663 + 0.281733i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.01255 - 1.16854i) q^{5} +(-0.297176 - 0.0872586i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(1.90176 + 2.19475i) q^{9} +(1.30075 + 0.835939i) q^{10} +(-0.671292 + 4.66894i) q^{11} +(0.0440780 - 0.306569i) q^{12} +(2.37491 + 1.52626i) q^{13} +(-0.654861 - 0.755750i) q^{14} +(0.198939 + 0.435615i) q^{15} +(0.841254 - 0.540641i) q^{16} +(4.59616 + 1.34955i) q^{17} +(-1.90176 + 2.19475i) q^{18} +(-0.601808 + 0.176707i) q^{19} +(-0.642315 + 1.40647i) q^{20} +(-0.0440780 - 0.306569i) q^{21} -4.71695 q^{22} +(-1.51037 - 4.55179i) q^{23} +0.309721 q^{24} +(0.371337 + 2.58271i) q^{25} +(-1.17274 + 2.56794i) q^{26} +(-1.75455 + 0.515181i) q^{27} +(0.654861 - 0.755750i) q^{28} +(-3.14412 - 0.923198i) q^{29} +(-0.402869 + 0.258908i) q^{30} +(-1.35168 - 2.95976i) q^{31} +(0.654861 + 0.755750i) q^{32} +(-1.22902 - 0.789845i) q^{33} +(-0.681716 + 4.74144i) q^{34} +(-0.220047 + 1.53046i) q^{35} +(-2.44306 - 1.57006i) q^{36} +(-1.83926 - 2.12262i) q^{37} +(-0.260554 - 0.570534i) q^{38} +(-0.735560 + 0.472716i) q^{39} +(-1.48357 - 0.435615i) q^{40} +(1.92986 - 2.22717i) q^{41} +(0.297176 - 0.0872586i) q^{42} +(1.65450 - 3.62285i) q^{43} +(-0.671292 - 4.66894i) q^{44} +4.49028 q^{45} +(4.29051 - 2.14278i) q^{46} +2.49418 q^{47} +(0.0440780 + 0.306569i) q^{48} +(0.415415 - 0.909632i) q^{49} +(-2.50357 + 0.735115i) q^{50} +(-0.971569 + 1.12125i) q^{51} +(-2.70870 - 0.795348i) q^{52} +(2.73483 - 1.75757i) q^{53} +(-0.759635 - 1.66337i) q^{54} +(4.77613 + 5.51195i) q^{55} +(0.841254 + 0.540641i) q^{56} +(0.0276463 - 0.192284i) q^{57} +(0.466346 - 3.24350i) q^{58} +(0.362362 + 0.232876i) q^{59} +(-0.313607 - 0.361922i) q^{60} +(-3.50468 - 7.67417i) q^{61} +(2.73727 - 1.75914i) q^{62} +(-2.78644 - 0.818172i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(4.18820 - 1.22977i) q^{65} +(0.606897 - 1.32892i) q^{66} +(-0.167235 - 1.16314i) q^{67} -4.79020 q^{68} +(1.47672 + 0.160126i) q^{69} -1.54620 q^{70} +(-0.767921 - 5.34101i) q^{71} +(1.20640 - 2.64164i) q^{72} +(2.58876 - 0.760129i) q^{73} +(1.83926 - 2.12262i) q^{74} +(-0.775410 - 0.227681i) q^{75} +(0.527646 - 0.339098i) q^{76} +(-1.95949 - 4.29069i) q^{77} +(-0.572585 - 0.660799i) q^{78} +(-10.4029 - 6.68555i) q^{79} +(0.220047 - 1.53046i) q^{80} +(-1.15928 + 8.06294i) q^{81} +(2.47915 + 1.59325i) q^{82} +(8.84799 + 10.2111i) q^{83} +(0.128663 + 0.281733i) q^{84} +(6.23083 - 4.00431i) q^{85} +(3.82144 + 1.12208i) q^{86} +(0.664627 - 0.767020i) q^{87} +(4.52588 - 1.32892i) q^{88} +(7.22942 - 15.8302i) q^{89} +(0.639033 + 4.44457i) q^{90} -2.82306 q^{91} +(2.73158 + 3.94189i) q^{92} +1.00777 q^{93} +(0.354959 + 2.46879i) q^{94} +(-0.402869 + 0.882160i) q^{95} +(-0.297176 + 0.0872586i) q^{96} +(-7.74725 + 8.94080i) q^{97} +(0.959493 + 0.281733i) q^{98} +(-11.5238 + 7.40590i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + q^{2} - 3 q^{3} - q^{4} + 5 q^{5} + 3 q^{6} + q^{7} + q^{8} + 16 q^{9}+O(q^{10}) \) 10 * q + q^2 - 3 * q^3 - q^4 + 5 * q^5 + 3 * q^6 + q^7 + q^8 + 16 * q^9	\( 10 q + q^{2} - 3 q^{3} - q^{4} + 5 q^{5} + 3 q^{6} + q^{7} + q^{8} + 16 q^{9} - 5 q^{10} - 11 q^{11} - 3 q^{12} + 10 q^{13} - q^{14} - 7 q^{15} - q^{16} + q^{17} - 16 q^{18} + 3 q^{19} - 6 q^{20} + 3 q^{21} + 12 q^{23} - 8 q^{24} + 2 q^{25} - 10 q^{26} - 9 q^{27} + q^{28} + 2 q^{29} - 4 q^{30} - 5 q^{31} + q^{32} - 11 q^{33} - 12 q^{34} + 6 q^{35} - 6 q^{36} + 27 q^{37} - 3 q^{38} + 8 q^{39} - 5 q^{40} - 12 q^{41} - 3 q^{42} + 38 q^{43} - 11 q^{44} + 8 q^{45} + 10 q^{46} + 2 q^{47} - 3 q^{48} - q^{49} - 13 q^{50} + 36 q^{51} - q^{52} - 16 q^{53} + 9 q^{54} - 11 q^{55} - q^{56} - 13 q^{57} + 9 q^{58} - 5 q^{59} - 7 q^{60} - 26 q^{61} + 5 q^{62} + 6 q^{63} - q^{64} + 5 q^{65} - 11 q^{66} - 4 q^{67} + 12 q^{68} - 8 q^{69} - 6 q^{70} + q^{71} + 6 q^{72} + 9 q^{73} - 27 q^{74} + 17 q^{75} - 8 q^{76} - 11 q^{77} + 25 q^{78} - 50 q^{79} - 6 q^{80} + 2 q^{81} + 23 q^{82} - 29 q^{83} + 3 q^{84} + 28 q^{85} + 17 q^{86} - 16 q^{87} + 11 q^{88} + 7 q^{89} - 19 q^{90} + 12 q^{91} + 23 q^{92} + 40 q^{93} + 20 q^{94} - 4 q^{95} + 3 q^{96} + 12 q^{97} + q^{98} - 33 q^{99}+O(q^{100}) \) 10 * q + q^2 - 3 * q^3 - q^4 + 5 * q^5 + 3 * q^6 + q^7 + q^8 + 16 * q^9 - 5 * q^10 - 11 * q^11 - 3 * q^12 + 10 * q^13 - q^14 - 7 * q^15 - q^16 + q^17 - 16 * q^18 + 3 * q^19 - 6 * q^20 + 3 * q^21 + 12 * q^23 - 8 * q^24 + 2 * q^25 - 10 * q^26 - 9 * q^27 + q^28 + 2 * q^29 - 4 * q^30 - 5 * q^31 + q^32 - 11 * q^33 - 12 * q^34 + 6 * q^35 - 6 * q^36 + 27 * q^37 - 3 * q^38 + 8 * q^39 - 5 * q^40 - 12 * q^41 - 3 * q^42 + 38 * q^43 - 11 * q^44 + 8 * q^45 + 10 * q^46 + 2 * q^47 - 3 * q^48 - q^49 - 13 * q^50 + 36 * q^51 - q^52 - 16 * q^53 + 9 * q^54 - 11 * q^55 - q^56 - 13 * q^57 + 9 * q^58 - 5 * q^59 - 7 * q^60 - 26 * q^61 + 5 * q^62 + 6 * q^63 - q^64 + 5 * q^65 - 11 * q^66 - 4 * q^67 + 12 * q^68 - 8 * q^69 - 6 * q^70 + q^71 + 6 * q^72 + 9 * q^73 - 27 * q^74 + 17 * q^75 - 8 * q^76 - 11 * q^77 + 25 * q^78 - 50 * q^79 - 6 * q^80 + 2 * q^81 + 23 * q^82 - 29 * q^83 + 3 * q^84 + 28 * q^85 + 17 * q^86 - 16 * q^87 + 11 * q^88 + 7 * q^89 - 19 * q^90 + 12 * q^91 + 23 * q^92 + 40 * q^93 + 20 * q^94 - 4 * q^95 + 3 * q^96 + 12 * q^97 + q^98 - 33 * q^99

Introduction

L-functions

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