LMFDB - Embedded newform 138.2.e.c.55.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [138,2,Mod(13,138)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(138, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 14]))

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

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

chi := DirichletCharacter("138.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 138 = 2 \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	138.e (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:	$1.10193554789$
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			55.1
Root			$0.959493 - 0.281733i$ of defining polynomial
Character	$\chi$	$=$	138.55
Dual form			138.2.e.c.133.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.959493 - 0.281733i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.592229 - 4.11904i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-1.22301 + 2.67803i) q^{7} +(0.654861 - 0.755750i) q^{8} +(-0.142315 + 0.989821i) q^{9} +O(q^{10})$	\(q+(0.959493 - 0.281733i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.592229 - 4.11904i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-1.22301 + 2.67803i) q^{7} +(0.654861 - 0.755750i) q^{8} +(-0.142315 + 0.989821i) q^{9} +(-1.72871 - 3.78534i) q^{10} +(3.15098 + 0.925210i) q^{11} +(-0.959493 - 0.281733i) q^{12} +(-0.0583872 - 0.127850i) q^{13} +(-0.418986 + 2.91411i) q^{14} +(-2.72514 + 3.14498i) q^{15} +(0.415415 - 0.909632i) q^{16} +(5.26034 + 3.38061i) q^{17} +(0.142315 + 0.989821i) q^{18} +(1.99782 - 1.28392i) q^{19} +(-2.72514 - 3.14498i) q^{20} +(2.82482 - 0.829443i) q^{21} +3.28400 q^{22} +(-0.435919 + 4.77598i) q^{23} -1.00000 q^{24} +(-11.8183 + 3.47017i) q^{25} +(-0.0920417 - 0.106222i) q^{26} +(0.841254 - 0.540641i) q^{27} +(0.418986 + 2.91411i) q^{28} +(-8.36028 - 5.37283i) q^{29} +(-1.72871 + 3.78534i) q^{30} +(-1.49745 + 1.72814i) q^{31} +(0.142315 - 0.989821i) q^{32} +(-1.36422 - 2.98723i) q^{33} +(5.99969 + 1.76167i) q^{34} +(11.7552 + 3.45164i) q^{35} +(0.415415 + 0.909632i) q^{36} +(-0.883471 + 6.14467i) q^{37} +(1.55518 - 1.79477i) q^{38} +(-0.0583872 + 0.127850i) q^{39} +(-3.50079 - 2.24982i) q^{40} +(-0.918195 - 6.38618i) q^{41} +(2.47672 - 1.59169i) q^{42} +(0.839356 + 0.968669i) q^{43} +(3.15098 - 0.925210i) q^{44} +4.16140 q^{45} +(0.927287 + 4.70533i) q^{46} +2.84018 q^{47} +(-0.959493 + 0.281733i) q^{48} +(-1.09204 - 1.26028i) q^{49} +(-10.3619 + 6.65920i) q^{50} +(-0.889891 - 6.18933i) q^{51} +(-0.118239 - 0.0759879i) q^{52} +(1.80736 - 3.95756i) q^{53} +(0.654861 - 0.755750i) q^{54} +(1.94488 - 13.5269i) q^{55} +(1.22301 + 2.67803i) q^{56} +(-2.27862 - 0.669064i) q^{57} +(-9.53533 - 2.79983i) q^{58} +(0.0304261 + 0.0666238i) q^{59} +(-0.592229 + 4.11904i) q^{60} +(-1.25866 + 1.45257i) q^{61} +(-0.949914 + 2.08002i) q^{62} +(-2.47672 - 1.59169i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(-0.492041 + 0.316216i) q^{65} +(-2.15056 - 2.48188i) q^{66} +(-4.15796 + 1.22089i) q^{67} +6.25297 q^{68} +(3.89491 - 2.79816i) q^{69} +12.2515 q^{70} +(-9.39090 + 2.75742i) q^{71} +(0.654861 + 0.755750i) q^{72} +(4.61462 - 2.96563i) q^{73} +(0.883471 + 6.14467i) q^{74} +(10.3619 + 6.65920i) q^{75} +(0.986535 - 2.16021i) q^{76} +(-6.33142 + 7.30685i) q^{77} +(-0.0200026 + 0.139121i) q^{78} +(3.99764 + 8.75360i) q^{79} +(-3.99283 - 1.17240i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-2.68020 - 5.86881i) q^{82} +(1.56667 - 10.8964i) q^{83} +(1.92796 - 2.22499i) q^{84} +(10.8096 - 23.6696i) q^{85} +(1.07826 + 0.692957i) q^{86} +(1.41431 + 9.83674i) q^{87} +(2.76268 - 1.77546i) q^{88} +(-8.58116 - 9.90318i) q^{89} +(3.99283 - 1.17240i) q^{90} +0.413795 q^{91} +(2.21537 + 4.25348i) q^{92} +2.28666 q^{93} +(2.72514 - 0.800172i) q^{94} +(-6.47170 - 7.46874i) q^{95} +(-0.841254 + 0.540641i) q^{96} +(1.73769 + 12.0859i) q^{97} +(-1.40287 - 0.901569i) q^{98} +(-1.36422 + 2.98723i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + q^{2} - q^{3} - q^{4} + q^{6} - 2 q^{7} + q^{8} - q^{9}+O(q^{10}) $ 10 * q + q^2 - q^3 - q^4 + q^6 - 2 * q^7 + q^8 - q^9	$ 10 q + q^{2} - q^{3} - q^{4} + q^{6} - 2 q^{7} + q^{8} - q^{9} + 11 q^{10} + 11 q^{11} - q^{12} - 13 q^{13} + 13 q^{14} - 11 q^{15} - q^{16} + q^{18} - 2 q^{19} - 11 q^{20} + 9 q^{21} - 22 q^{22} - 10 q^{23} - 10 q^{24} + 5 q^{25} - 9 q^{26} - q^{27} - 13 q^{28} - 27 q^{29} + 11 q^{30} - 18 q^{31} + q^{32} + 33 q^{34} + 44 q^{35} - q^{36} - q^{37} + 13 q^{38} - 13 q^{39} - 11 q^{40} - 16 q^{41} + 2 q^{42} + 20 q^{43} + 11 q^{44} + 22 q^{45} - q^{46} - q^{48} - 19 q^{49} - 27 q^{50} - 11 q^{51} - 2 q^{52} - q^{53} + q^{54} + 33 q^{55} + 2 q^{56} - 13 q^{57} - 17 q^{58} - q^{59} - 34 q^{61} - 4 q^{62} - 2 q^{63} - q^{64} + 11 q^{65} + 8 q^{67} + 22 q^{68} + 23 q^{69} + 22 q^{70} - 22 q^{71} + q^{72} + 31 q^{73} + q^{74} + 27 q^{75} - 2 q^{76} + 22 q^{77} + 2 q^{78} + 32 q^{79} - q^{81} - 28 q^{82} + 33 q^{83} + 9 q^{84} - 11 q^{85} - 20 q^{86} + 6 q^{87} + 22 q^{88} - 23 q^{89} + 18 q^{91} + 23 q^{92} + 4 q^{93} + 11 q^{94} - 22 q^{95} + q^{96} - q^{97} - 14 q^{98}+O(q^{100}) $ 10 * q + q^2 - q^3 - q^4 + q^6 - 2 * q^7 + q^8 - q^9 + 11 * q^10 + 11 * q^11 - q^12 - 13 * q^13 + 13 * q^14 - 11 * q^15 - q^16 + q^18 - 2 * q^19 - 11 * q^20 + 9 * q^21 - 22 * q^22 - 10 * q^23 - 10 * q^24 + 5 * q^25 - 9 * q^26 - q^27 - 13 * q^28 - 27 * q^29 + 11 * q^30 - 18 * q^31 + q^32 + 33 * q^34 + 44 * q^35 - q^36 - q^37 + 13 * q^38 - 13 * q^39 - 11 * q^40 - 16 * q^41 + 2 * q^42 + 20 * q^43 + 11 * q^44 + 22 * q^45 - q^46 - q^48 - 19 * q^49 - 27 * q^50 - 11 * q^51 - 2 * q^52 - q^53 + q^54 + 33 * q^55 + 2 * q^56 - 13 * q^57 - 17 * q^58 - q^59 - 34 * q^61 - 4 * q^62 - 2 * q^63 - q^64 + 11 * q^65 + 8 * q^67 + 22 * q^68 + 23 * q^69 + 22 * q^70 - 22 * q^71 + q^72 + 31 * q^73 + q^74 + 27 * q^75 - 2 * q^76 + 22 * q^77 + 2 * q^78 + 32 * q^79 - q^81 - 28 * q^82 + 33 * q^83 + 9 * q^84 - 11 * q^85 - 20 * q^86 + 6 * q^87 + 22 * q^88 - 23 * q^89 + 18 * q^91 + 23 * q^92 + 4 * q^93 + 11 * q^94 - 22 * q^95 + q^96 - q^97 - 14 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/138\mathbb{Z}\right)^\times$.

$n$	$47$	$97$
$\chi(n)$	$1$	$e\left(\frac{5}{11}\right)$

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 $

$2$	0.959493	−	0.281733i	0.678464	−	0.199215i
$2$	0.959493	−	0.281733i	0.678464	−	0.199215i
$3$	−0.654861	−	0.755750i	−0.378084	−	0.436332i
$3$	−0.654861	−	0.755750i	−0.378084	−	0.436332i
$4$	0.841254	−	0.540641i	0.420627	−	0.270320i
$5$	−0.592229	−	4.11904i	−0.264853	−	1.84209i	−0.494947	−	0.868923i	$-0.664813\pi$
$5$	−0.592229	−	4.11904i	−0.264853	−	1.84209i	0.230094	−	0.973168i	$-0.426096\pi$
$6$	−0.841254	−	0.540641i	−0.343440	−	0.220716i
$7$	−1.22301	+	2.67803i	−0.462256	+	1.01220i	0.524712	+	0.851280i	$0.324173\pi$
$7$	−1.22301	+	2.67803i	−0.462256	+	1.01220i	−0.986968	+	0.160919i	$0.948554\pi$
$8$	0.654861	−	0.755750i	0.231528	−	0.267198i
$9$	−0.142315	+	0.989821i	−0.0474383	+	0.329940i
$10$	−1.72871	−	3.78534i	−0.546665	−	1.19703i
$11$	3.15098	+	0.925210i	0.950055	+	0.278961i	0.719810	−	0.694171i	$-0.244229\pi$
$11$	3.15098	+	0.925210i	0.950055	+	0.278961i	0.230245	+	0.973133i	$0.426047\pi$
$12$	−0.959493	−	0.281733i	−0.276982	−	0.0813292i
$13$	−0.0583872	−	0.127850i	−0.0161937	−	0.0354592i	0.901362	−	0.433066i	$-0.142568\pi$
$13$	−0.0583872	−	0.127850i	−0.0161937	−	0.0354592i	−0.917556	+	0.397606i	$0.869841\pi$
$14$	−0.418986	+	2.91411i	−0.111979	+	0.778829i
$15$	−2.72514	+	3.14498i	−0.703627	+	0.812029i
$16$	0.415415	−	0.909632i	0.103854	−	0.227408i
$17$	5.26034	+	3.38061i	1.27582	+	0.819919i	0.990366	−	0.138474i	$-0.0442196\pi$
$17$	5.26034	+	3.38061i	1.27582	+	0.819919i	0.285453	+	0.958393i	$0.407856\pi$
$18$	0.142315	+	0.989821i	0.0335439	+	0.233303i
$19$	1.99782	−	1.28392i	0.458332	−	0.294552i	−0.291028	−	0.956714i	$-0.593997\pi$
$19$	1.99782	−	1.28392i	0.458332	−	0.294552i	0.749361	+	0.662162i	$0.230361\pi$
$20$	−2.72514	−	3.14498i	−0.609359	−	0.703238i
$21$	2.82482	−	0.829443i	0.616427	−	0.180999i
$22$	3.28400			0.700151
$23$	−0.435919	+	4.77598i	−0.0908955	+	0.995860i
$23$	−0.435919	+	4.77598i	−0.0908955	+	0.995860i
$24$	−1.00000			−0.204124
$25$	−11.8183	+	3.47017i	−2.36366	+	0.694033i
$26$	−0.0920417	−	0.106222i	−0.0180509	−	0.0208318i
$27$	0.841254	−	0.540641i	0.161899	−	0.104046i
$28$	0.418986	+	2.91411i	0.0791809	+	0.550715i
$29$	−8.36028	−	5.37283i	−1.55247	−	0.997709i	−0.984647	−	0.174555i	$-0.944151\pi$
$29$	−8.36028	−	5.37283i	−1.55247	−	0.997709i	−0.567818	−	0.823154i	$-0.692212\pi$
$30$	−1.72871	+	3.78534i	−0.315617	+	0.691106i
$31$	−1.49745	+	1.72814i	−0.268949	+	0.310384i	−0.874118	−	0.485713i	$-0.838560\pi$
$31$	−1.49745	+	1.72814i	−0.268949	+	0.310384i	0.605169	+	0.796097i	$0.293105\pi$
$32$	0.142315	−	0.989821i	0.0251579	−	0.174977i
$33$	−1.36422	−	2.98723i	−0.237481	−	0.520010i
$34$	5.99969	+	1.76167i	1.02894	+	0.302123i
$35$	11.7552	+	3.45164i	1.98699	+	0.583434i
$36$	0.415415	+	0.909632i	0.0692358	+	0.151605i
$37$	−0.883471	+	6.14467i	−0.145242	+	1.01018i	0.778632	+	0.627481i	$0.215914\pi$
$37$	−0.883471	+	6.14467i	−0.145242	+	1.01018i	−0.923874	+	0.382697i	$0.874995\pi$
$38$	1.55518	−	1.79477i	0.252283	−	0.291150i
$39$	−0.0583872	+	0.127850i	−0.00934943	+	0.0204724i
$40$	−3.50079	−	2.24982i	−0.553524	−	0.355728i
$41$	−0.918195	−	6.38618i	−0.143398	−	0.997354i	−0.926724	−	0.375743i	$-0.877387\pi$
$41$	−0.918195	−	6.38618i	−0.143398	−	0.997354i	0.783326	−	0.621611i	$-0.213522\pi$
$42$	2.47672	−	1.59169i	0.382166	−	0.245603i
$43$	0.839356	+	0.968669i	0.128001	+	0.147721i	0.816132	−	0.577866i	$-0.196114\pi$
$43$	0.839356	+	0.968669i	0.128001	+	0.147721i	−0.688131	+	0.725586i	$0.741569\pi$
$44$	3.15098	−	0.925210i	0.475027	−	0.139481i
$45$	4.16140			0.620345
$46$	0.927287	+	4.70533i	0.136721	+	0.693763i
$47$	2.84018			0.414283			0.207142	−	0.978311i	$-0.433584\pi$
$47$	2.84018			0.414283			0.207142	+	0.978311i	$0.433584\pi$
$48$	−0.959493	+	0.281733i	−0.138491	+	0.0406646i
$49$	−1.09204	−	1.26028i	−0.156006	−	0.180040i
$50$	−10.3619	+	6.65920i	−1.46540	+	0.941753i
$51$	−0.889891	−	6.18933i	−0.124610	−	0.866679i
$52$	−0.118239	−	0.0759879i	−0.0163969	−	0.0105376i
$53$	1.80736	−	3.95756i	0.248260	−	0.543613i	−0.743944	−	0.668242i	$-0.767047\pi$
$53$	1.80736	−	3.95756i	0.248260	−	0.543613i	0.992203	+	0.124629i	$0.0397742\pi$
$54$	0.654861	−	0.755750i	0.0891153	−	0.102844i
$55$	1.94488	−	13.5269i	0.262247	−	1.82397i
$56$	1.22301	+	2.67803i	0.163432	+	0.357866i
$57$	−2.27862	−	0.669064i	−0.301811	−	0.0886196i
$58$	−9.53533	−	2.79983i	−1.25205	−	0.367635i
$59$	0.0304261	+	0.0666238i	0.00396114	+	0.00867368i	0.911602	−	0.411073i	$-0.134846\pi$
$59$	0.0304261	+	0.0666238i	0.00396114	+	0.00867368i	−0.907641	+	0.419747i	$0.862119\pi$
$60$	−0.592229	+	4.11904i	−0.0764564	+	0.531766i
$61$	−1.25866	+	1.45257i	−0.161155	+	0.185982i	−0.830584	−	0.556893i	$-0.811993\pi$
$61$	−1.25866	+	1.45257i	−0.161155	+	0.185982i	0.669429	+	0.742876i	$0.266539\pi$
$62$	−0.949914	+	2.08002i	−0.120639	+	0.264163i
$63$	−2.47672	−	1.59169i	−0.312037	−	0.200534i
$64$	−0.142315	−	0.989821i	−0.0177894	−	0.123728i
$65$	−0.492041	+	0.316216i	−0.0610302	+	0.0392217i
$66$	−2.15056	−	2.48188i	−0.264716	−	0.305499i
$67$	−4.15796	+	1.22089i	−0.507976	+	0.149155i	−0.525670	−	0.850688i	$-0.676186\pi$
$67$	−4.15796	+	1.22089i	−0.507976	+	0.149155i	0.0176947	+	0.999843i	$0.494367\pi$
$68$	6.25297			0.758285
$69$	3.89491	−	2.79816i	0.468892	−	0.336858i
$70$	12.2515			1.46433
$71$	−9.39090	+	2.75742i	−1.11449	+	0.327245i	−0.786596	−	0.617468i	$-0.788159\pi$
$71$	−9.39090	+	2.75742i	−1.11449	+	0.327245i	−0.327898	+	0.944713i	$0.606340\pi$
$72$	0.654861	+	0.755750i	0.0771761	+	0.0890659i
$73$	4.61462	−	2.96563i	0.540100	−	0.347101i	−0.241978	−	0.970282i	$-0.577796\pi$
$73$	4.61462	−	2.96563i	0.540100	−	0.347101i	0.782078	+	0.623181i	$0.214160\pi$
$74$	0.883471	+	6.14467i	0.102701	+	0.714304i
$75$	10.3619	+	6.65920i	1.19649	+	0.768938i
$76$	0.986535	−	2.16021i	0.113163	−	0.247793i
$77$	−6.33142	+	7.30685i	−0.721533	+	0.832693i
$78$	−0.0200026	+	0.139121i	−0.00226484	+	0.0157523i
$79$	3.99764	+	8.75360i	0.449769	+	0.984857i	0.989701	+	0.143149i	$0.0457227\pi$
$79$	3.99764	+	8.75360i	0.449769	+	0.984857i	−0.539932	+	0.841709i	$0.681550\pi$
$80$	−3.99283	−	1.17240i	−0.446412	−	0.131078i
$81$	−0.959493	−	0.281733i	−0.106610	−	0.0313036i
$82$	−2.68020	−	5.86881i	−0.295978	−	0.648102i
$83$	1.56667	−	10.8964i	0.171964	−	1.19604i	−0.702764	−	0.711423i	$-0.748051\pi$
$83$	1.56667	−	10.8964i	0.171964	−	1.19604i	0.874728	−	0.484614i	$-0.161040\pi$
$84$	1.92796	−	2.22499i	0.210358	−	0.242766i
$85$	10.8096	−	23.6696i	1.17246	−	2.56733i
$86$	1.07826	+	0.692957i	0.116272	+	0.0747235i
$87$	1.41431	+	9.83674i	0.151630	+	1.05461i
$88$	2.76268	−	1.77546i	0.294502	−	0.189265i
$89$	−8.58116	−	9.90318i	−0.909601	−	1.04974i	−0.998557	−	0.0536996i	$-0.982899\pi$
$89$	−8.58116	−	9.90318i	−0.909601	−	1.04974i	0.0889564	−	0.996036i	$-0.471647\pi$
$90$	3.99283	−	1.17240i	0.420882	−	0.123582i
$91$	0.413795			0.0433775
$92$	2.21537	+	4.25348i	0.230968	+	0.443456i
$93$	2.28666			0.237116
$94$	2.72514	−	0.800172i	0.281076	−	0.0825315i
$95$	−6.47170	−	7.46874i	−0.663983	−	0.766277i
$96$	−0.841254	+	0.540641i	−0.0858601	+	0.0551789i
$97$	1.73769	+	12.0859i	0.176435	+	1.22714i	0.864930	+	0.501893i	$0.167363\pi$
$97$	1.73769	+	12.0859i	0.176435	+	1.22714i	−0.688494	+	0.725242i	$0.741728\pi$
$98$	−1.40287	−	0.901569i	−0.141711	−	0.0910722i
$99$	−1.36422	+	2.98723i	−0.137110	+	0.300228i
$100$	−8.06608	+	9.30875i	−0.806608	+	0.930875i
$101$	0.200413	−	1.39390i	0.0199418	−	0.138698i	−0.977418	−	0.211314i	$-0.932226\pi$
$101$	0.200413	−	1.39390i	0.0199418	−	0.138698i	0.997360	+	0.0726159i	$0.0231347\pi$
$102$	−2.59758	−	5.68791i	−0.257199	−	0.563187i
$103$	−7.71117	−	2.26420i	−0.759804	−	0.223099i	−0.121194	−	0.992629i	$-0.538672\pi$
$103$	−7.71117	−	2.26420i	−0.759804	−	0.223099i	−0.638610	+	0.769530i	$0.720490\pi$
$104$	−0.134858	−	0.0395979i	−0.0132239	−	0.00388290i
$105$	−5.08945	−	11.1443i	−0.496679	−	1.08758i
$106$	0.619173	−	4.30645i	0.0601394	−	0.418279i
$107$	−12.6585	+	14.6087i	−1.22374	+	1.41227i	−0.342558	+	0.939497i	$0.611293\pi$
$107$	−12.6585	+	14.6087i	−1.22374	+	1.41227i	−0.881183	+	0.472776i	$0.843252\pi$
$108$	0.415415	−	0.909632i	0.0399733	−	0.0875294i
$109$	5.45071	+	3.50296i	0.522084	+	0.335523i	0.774996	−	0.631966i	$-0.217752\pi$
$109$	5.45071	+	3.50296i	0.522084	+	0.335523i	−0.252912	+	0.967489i	$0.581388\pi$
$110$	−1.94488	−	13.5269i	−0.185437	−	1.28974i
$111$	5.22238	−	3.35622i	0.495687	−	0.318559i
$112$	1.92796	+	2.22499i	0.182175	+	0.210241i
$113$	10.0020	−	2.93686i	0.940913	−	0.276277i	0.224914	−	0.974379i	$-0.427790\pi$
$113$	10.0020	−	2.93686i	0.940913	−	0.276277i	0.715999	+	0.698102i	$0.245972\pi$
$114$	−2.37482			−0.222422
$115$	19.9306	−	1.03290i	1.85854	−	0.0963186i
$116$	−9.93789			−0.922710
$117$	0.134858	−	0.0395979i	0.0124676	−	0.00366083i
$118$	0.0479637	+	0.0553531i	0.00441542	+	0.00509566i
$119$	−15.4868	+	9.95279i	−1.41968	+	0.912371i
$120$	0.592229	+	4.11904i	0.0540628	+	0.376015i
$121$	−0.181158	−	0.116423i	−0.0164690	−	0.0105840i
$122$	−0.798437	+	1.74833i	−0.0722871	+	0.158287i
$123$	−4.22507	+	4.87599i	−0.380961	+	0.439653i
$124$	−0.325426	+	2.26339i	−0.0292241	+	0.203258i
$125$	12.6494	+	27.6982i	1.13139	+	2.47741i
$126$	−2.82482	−	0.829443i	−0.251655	−	0.0738926i
$127$	5.91619	+	1.73715i	0.524977	+	0.154147i	0.533474	−	0.845817i	$-0.320886\pi$
$127$	5.91619	+	1.73715i	0.524977	+	0.154147i	−0.00849658	+	0.999964i	$0.502705\pi$
$128$	−0.415415	−	0.909632i	−0.0367178	−	0.0804009i
$129$	0.182410	−	1.26869i	0.0160603	−	0.111702i
$130$	−0.383022	+	0.442031i	−0.0335933	+	0.0387687i
$131$	−2.67757	+	5.86307i	−0.233941	+	0.512259i	−0.989798	−	0.142478i	$-0.954493\pi$
$131$	−2.67757	+	5.86307i	−0.233941	+	0.512259i	0.755857	+	0.654736i	$0.227220\pi$
$132$	−2.76268	−	1.77546i	−0.240460	−	0.154534i
$133$	0.995016	+	6.92049i	0.0862788	+	0.600082i
$134$	−3.64557	+	2.34287i	−0.314929	+	0.202393i
$135$	−2.72514	−	3.14498i	−0.234542	−	0.270676i
$136$	5.99969	−	1.76167i	0.514469	−	0.151062i
$137$	14.3939			1.22975			0.614877	−	0.788623i	$-0.289206\pi$
$137$	14.3939			1.22975			0.614877	+	0.788623i	$0.289206\pi$
$138$	2.94881	−	3.78213i	0.251019	−	0.321957i
$139$	−10.9441			−0.928268			−0.464134	−	0.885765i	$-0.653634\pi$
$139$	−10.9441			−0.928268			−0.464134	+	0.885765i	$0.653634\pi$
$140$	11.7552	−	3.45164i	0.993497	−	0.291717i
$141$	−1.85992	−	2.14647i	−0.156634	−	0.180765i
$142$	−8.23365	+	5.29144i	−0.690952	+	0.444048i
$143$	−0.0656884	−	0.456873i	−0.00549314	−	0.0382056i
$144$	0.841254	+	0.540641i	0.0701045	+	0.0450534i
$145$	−17.1797	+	37.6183i	−1.42670	+	3.12403i
$146$	3.59218	−	4.14559i	0.297291	−	0.343092i
$147$	−0.237323	+	1.65062i	−0.0195741	+	0.136141i
$148$	2.57884	+	5.64687i	0.211979	+	0.464170i
$149$	−3.88215	−	1.13990i	−0.318038	−	0.0933845i	0.118817	−	0.992916i	$-0.462090\pi$
$149$	−3.88215	−	1.13990i	−0.318038	−	0.0933845i	−0.436856	+	0.899532i	$0.643908\pi$
$150$	11.8183	+	3.47017i	0.964960	+	0.283338i
$151$	−7.27336	−	15.9264i	−0.591898	−	1.29607i	−0.934289	−	0.356517i	$-0.883964\pi$
$151$	−7.27336	−	15.9264i	−0.591898	−	1.29607i	0.342391	−	0.939558i	$-0.388763\pi$
$152$	0.337972	−	2.35065i	0.0274131	−	0.190663i
$153$	−4.09483	+	4.72568i	−0.331047	+	0.382049i
$154$	−4.01638	+	8.79464i	−0.323649	+	0.708692i
$155$	8.00513	+	5.14458i	0.642987	+	0.413223i
$156$	0.0200026	+	0.139121i	0.00160149	+	0.0111386i
$157$	−2.39146	+	1.53690i	−0.190859	+	0.122658i	−0.632581	−	0.774494i	$-0.718004\pi$
$157$	−2.39146	+	1.53690i	−0.190859	+	0.122658i	0.441721	+	0.897152i	$0.354368\pi$
$158$	6.30188	+	7.27276i	0.501351	+	0.578590i
$159$	−4.17450	+	1.22574i	−0.331059	+	0.0972077i
$160$	−4.16140			−0.328987
$161$	−12.2571	−	7.00849i	−0.965992	−	0.552347i
$162$	−1.00000			−0.0785674
$163$	1.92812	−	0.566146i	0.151022	−	0.0443440i	−0.205348	−	0.978689i	$-0.565833\pi$
$163$	1.92812	−	0.566146i	0.151022	−	0.0443440i	0.356370	+	0.934345i	$0.384014\pi$
$164$	−4.22507	−	4.87599i	−0.329922	−	0.380751i
$165$	−11.4966	+	7.38842i	−0.895009	+	0.575187i
$166$	−1.56667	−	10.8964i	−0.121597	−	0.845726i
$167$	−7.76274	−	4.98881i	−0.600699	−	0.386046i	0.204660	−	0.978833i	$-0.434391\pi$
$167$	−7.76274	−	4.98881i	−0.600699	−	0.386046i	−0.805359	+	0.592787i	$0.798027\pi$
$168$	1.22301	−	2.67803i	0.0943576	−	0.206614i
$169$	8.50025	−	9.80981i	0.653866	−	0.754601i
$170$	3.70319	−	25.7563i	0.284022	−	1.97542i
$171$	0.986535	+	2.16021i	0.0754422	+	0.165195i
$172$	1.22981	+	0.361106i	0.0937724	+	0.0275341i
$173$	−9.01583	−	2.64729i	−0.685461	−	0.201270i	−0.0795845	−	0.996828i	$-0.525359\pi$
$173$	−9.01583	−	2.64729i	−0.685461	−	0.201270i	−0.605877	+	0.795559i	$0.707178\pi$
$174$	4.12835	+	9.03982i	0.312969	+	0.685307i
$175$	5.16075	−	35.8938i	0.390116	−	2.71332i
$176$	2.15056	−	2.48188i	0.162105	−	0.187079i
$177$	0.0304261	−	0.0666238i	0.00228696	−	0.00500775i
$178$	−11.0236	−	7.08444i	−0.826254	−	0.531001i
$179$	2.90697	+	20.2184i	0.217277	+	1.51120i	0.748027	+	0.663668i	$0.231001\pi$
$179$	2.90697	+	20.2184i	0.217277	+	1.51120i	−0.530750	+	0.847528i	$0.678090\pi$
$180$	3.50079	−	2.24982i	0.260934	−	0.167692i
$181$	−9.77927	−	11.2859i	−0.726887	−	0.838873i	0.265230	−	0.964185i	$-0.414552\pi$
$181$	−9.77927	−	11.2859i	−0.726887	−	0.838873i	−0.992117	+	0.125312i	$0.960007\pi$
$182$	0.397033	−	0.116579i	0.0294300	−	0.00864144i
$183$	1.92202			0.142080
$184$	3.32398	+	3.45705i	0.245047	+	0.254857i
$185$	25.8334			1.89931
$186$	2.19404	−	0.644227i	0.160875	−	0.0472370i
$187$	13.4474	+	15.5191i	0.983372	+	1.13487i
$188$	2.38931	−	1.53552i	0.174259	−	0.111989i
$189$	0.418986	+	2.91411i	0.0304767	+	0.211970i
$190$	−8.31374	−	5.34292i	−0.603142	−	0.387616i
$191$	9.82638	−	21.5168i	0.711012	−	1.55690i	−0.115076	−	0.993357i	$-0.536711\pi$
$191$	9.82638	−	21.5168i	0.711012	−	1.55690i	0.826088	−	0.563542i	$-0.190562\pi$
$192$	−0.654861	+	0.755750i	−0.0472605	+	0.0545415i
$193$	0.278201	−	1.93493i	0.0200254	−	0.139280i	−0.977356	−	0.211602i	$-0.932132\pi$
$193$	0.278201	−	1.93493i	0.0200254	−	0.139280i	0.997381	+	0.0723224i	$0.0230411\pi$
$194$	5.07228	+	11.1068i	0.364169	+	0.797418i
$195$	0.561199	+	0.164783i	0.0401883	+	0.0118003i
$196$	−1.60004	−	0.469815i	−0.114289	−	0.0335582i
$197$	0.780774	+	1.70966i	0.0556279	+	0.121808i	0.935405	−	0.353579i	$-0.115035\pi$
$197$	0.780774	+	1.70966i	0.0556279	+	0.121808i	−0.879777	+	0.475387i	$0.842308\pi$
$198$	−0.467362	+	3.25057i	−0.0332140	+	0.231008i
$199$	10.8077	−	12.4728i	0.766139	−	0.884172i	−0.229888	−	0.973217i	$-0.573836\pi$
$199$	10.8077	−	12.4728i	0.766139	−	0.884172i	0.996028	+	0.0890450i	$0.0283815\pi$
$200$	−5.11677	+	11.2042i	−0.361810	+	0.792253i
$201$	3.64557	+	2.34287i	0.257139	+	0.165253i
$202$	−0.200413	−	1.39390i	−0.0141010	−	0.0980745i
$203$	24.6133	−	15.8180i	1.72752	−	1.11021i
$204$	−4.09483	−	4.72568i	−0.286695	−	0.330864i
$205$	−25.7612	+	7.56416i	−1.79924	+	0.528304i
$206$	−8.03671			−0.559944
$207$	−4.66533	−	1.11118i	−0.324263	−	0.0772320i
$208$	−0.140551			−0.00974549
$209$	7.48299	−	2.19721i	0.517609	−	0.151984i
$210$	−8.02301	−	9.25905i	−0.553641	−	0.638935i
$211$	5.02917	−	3.23205i	0.346223	−	0.222504i	−0.355959	−	0.934502i	$-0.615846\pi$
$211$	5.02917	−	3.23205i	0.346223	−	0.222504i	0.702182	+	0.711998i	$0.252209\pi$
$212$	−0.619173	−	4.30645i	−0.0425250	−	0.295768i
$213$	8.23365	+	5.29144i	0.564160	+	0.362564i
$214$	−8.02998	+	17.5832i	−0.548918	+	1.20196i
$215$	3.49290	−	4.03102i	0.238214	−	0.274913i
$216$	0.142315	−	0.989821i	0.00968330	−	0.0673488i
$217$	−2.79662	−	6.12374i	−0.189847	−	0.415707i
$218$	6.21682	+	1.82542i	0.421056	+	0.123633i
$219$	−5.26321	−	1.54542i	−0.355655	−	0.104430i
$220$	−5.67708	−	12.4311i	−0.382748	−	0.838102i
$221$	0.125076	−	0.869919i	0.00841349	−	0.0585171i
$222$	4.06528	−	4.69159i	0.272844	−	0.314879i
$223$	−8.35785	+	18.3011i	−0.559683	+	1.22553i	0.392428	+	0.919783i	$0.371635\pi$
$223$	−8.35785	+	18.3011i	−0.559683	+	1.22553i	−0.952111	+	0.305752i	$0.901092\pi$
$224$	2.47672	+	1.59169i	0.165483	+	0.106349i
$225$	−1.75293	−	12.1919i	−0.116862	−	0.812791i
$226$	8.76948	−	5.63580i	0.583337	−	0.374888i
$227$	−8.54849	−	9.86548i	−0.567383	−	0.654795i	0.397461	−	0.917619i	$-0.369892\pi$
$227$	−8.54849	−	9.86548i	−0.567383	−	0.654795i	−0.964844	+	0.262824i	$0.915346\pi$
$228$	−2.27862	+	0.669064i	−0.150905	+	0.0443098i
$229$	17.7990			1.17619			0.588095	−	0.808792i	$-0.299878\pi$
$229$	17.7990			1.17619			0.588095	+	0.808792i	$0.299878\pi$
$230$	18.8323	−	6.60617i	1.24176	−	0.435598i
$231$	9.66835			0.636131
$232$	−9.53533	+	2.79983i	−0.626025	+	0.183818i
$233$	−6.41650	−	7.40504i	−0.420359	−	0.485120i	0.505587	−	0.862775i	$-0.331276\pi$
$233$	−6.41650	−	7.40504i	−0.420359	−	0.485120i	−0.925946	+	0.377655i	$0.876730\pi$
$234$	0.118239	−	0.0759879i	0.00772955	−	0.00496748i
$235$	−1.68204	−	11.6988i	−0.109724	−	0.763148i
$236$	0.0616156	+	0.0395979i	0.00401083	+	0.00257761i
$237$	3.99764	−	8.75360i	0.259674	−	0.568608i
$238$	−12.0555	+	13.9128i	−0.781441	+	0.901831i
$239$	−0.426324	+	2.96515i	−0.0275766	+	0.191799i	−0.998953	−	0.0457456i	$-0.985434\pi$
$239$	−0.426324	+	2.96515i	−0.0275766	+	0.191799i	0.971377	+	0.237545i	$0.0763427\pi$
$240$	1.72871	+	3.78534i	0.111588	+	0.244343i
$241$	19.6038	+	5.75619i	1.26279	+	0.370789i	0.843533	−	0.537078i	$-0.180472\pi$
$241$	19.6038	+	5.75619i	1.26279	+	0.370789i	0.419258	+	0.907867i	$0.362290\pi$
$242$	−0.206621	−	0.0606693i	−0.0132821	−	0.00389997i
$243$	0.415415	+	0.909632i	0.0266489	+	0.0583529i
$244$	−0.273532	+	1.90246i	−0.0175111	+	0.121792i
$245$	−4.54442	+	5.24454i	−0.290332	+	0.335061i
$246$	−2.68020	+	5.86881i	−0.170883	+	0.374182i
$247$	−0.280797	−	0.180457i	−0.0178667	−	0.0114822i
$248$	0.325426	+	2.26339i	0.0206646	+	0.143725i
$249$	−9.26091	+	5.95163i	−0.586887	+	0.377169i
$250$	19.9405	+	23.0125i	1.26115	+	1.45544i
$251$	0.954130	−	0.280158i	0.0602241	−	0.0176834i	−0.251482	−	0.967862i	$-0.580918\pi$
$251$	0.954130	−	0.280158i	0.0602241	−	0.0176834i	0.311706	+	0.950179i	$0.399100\pi$
$252$	−2.94408			−0.185459
$253$	−5.79235	+	14.6457i	−0.364162	+	0.920766i
$254$	6.16595			0.386886
$255$	−24.9671	+	7.33100i	−1.56350	+	0.459085i
$256$	−0.654861	−	0.755750i	−0.0409288	−	0.0472343i
$257$	−5.90622	+	3.79570i	−0.368420	+	0.236769i	−0.711730	−	0.702453i	$-0.752088\pi$
$257$	−5.90622	+	3.79570i	−0.368420	+	0.236769i	0.343310	+	0.939222i	$0.388452\pi$
$258$	−0.182410	−	1.26869i	−0.0113563	−	0.0789850i
$259$	−15.3751	−	9.88098i	−0.955363	−	0.613974i
$260$	−0.242972	+	0.532035i	−0.0150685	+	0.0329954i
$261$	6.50793	−	7.51056i	0.402831	−	0.464892i
$262$	−0.917296	+	6.37993i	−0.0566707	+	0.394154i
$263$	−7.21674	−	15.8025i	−0.445003	−	0.974422i	−0.990653	−	0.136408i	$-0.956444\pi$
$263$	−7.21674	−	15.8025i	−0.445003	−	0.974422i	0.545649	−	0.838014i	$-0.316283\pi$
$264$	−3.15098	−	0.925210i	−0.193929	−	0.0569427i
$265$	−17.3717	−	5.10080i	−1.06714	−	0.313340i
$266$	2.90444	+	6.35983i	0.178082	+	0.389946i
$267$	−1.86486	+	12.9704i	−0.114128	+	0.793776i
$268$	−2.83784	+	3.27504i	−0.173349	+	0.200055i
$269$	12.6324	−	27.6612i	0.770213	−	1.68653i	0.0440310	−	0.999030i	$-0.485980\pi$
$269$	12.6324	−	27.6612i	0.770213	−	1.68653i	0.726182	−	0.687502i	$-0.241293\pi$
$270$	−3.50079	−	2.24982i	−0.213051	−	0.136920i
$271$	0.861807	+	5.99400i	0.0523510	+	0.364109i	0.999111	+	0.0421677i	$0.0134264\pi$
$271$	0.861807	+	5.99400i	0.0523510	+	0.364109i	−0.946760	+	0.321942i	$0.895665\pi$
$272$	5.26034	−	3.38061i	0.318955	−	0.204980i
$273$	−0.270978	−	0.312725i	−0.0164003	−	0.0189270i
$274$	13.8108	−	4.05523i	0.834344	−	0.244985i
$275$	−40.4498			−2.43922
$276$	1.76381	−	4.45971i	0.106169	−	0.268443i
$277$	7.58051			0.455469			0.227734	−	0.973723i	$-0.426868\pi$
$277$	7.58051			0.455469			0.227734	+	0.973723i	$0.426868\pi$
$278$	−10.5008	+	3.08331i	−0.629796	+	0.184925i
$279$	−1.49745	−	1.72814i	−0.0896497	−	0.103461i
$280$	10.3066	−	6.62365i	0.615937	−	0.395839i
$281$	2.20720	+	15.3514i	0.131670	+	0.915788i	0.943377	+	0.331723i	$0.107630\pi$
$281$	2.20720	+	15.3514i	0.131670	+	0.915788i	−0.811706	+	0.584066i	$0.801461\pi$
$282$	−2.38931	−	1.53552i	−0.142282	−	0.0914388i
$283$	−3.91431	+	8.57115i	−0.232682	+	0.509502i	−0.989572	−	0.144040i	$-0.953991\pi$
$283$	−3.91431	+	8.57115i	−0.232682	+	0.509502i	0.756890	+	0.653542i	$0.226718\pi$
$284$	−6.40935	+	7.39679i	−0.380325	+	0.438919i
$285$	−1.40644	+	9.78198i	−0.0833101	+	0.579434i
$286$	−0.191744	−	0.419860i	−0.0113380	−	0.0248268i
$287$	18.2253	+	5.35144i	1.07581	+	0.315886i
$288$	0.959493	+	0.281733i	0.0565387	+	0.0166013i
$289$	9.18054	+	20.1026i	0.540032	+	1.18251i
$290$	−5.88550	+	40.9346i	−0.345609	+	2.40376i
$291$	7.99595	−	9.22782i	0.468731	−	0.540945i
$292$	2.27872	−	4.98970i	0.133352	−	0.292000i
$293$	−5.09559	−	3.27474i	−0.297688	−	0.191312i	0.383267	−	0.923637i	$-0.374799\pi$
$293$	−5.09559	−	3.27474i	−0.297688	−	0.191312i	−0.680955	+	0.732325i	$0.738435\pi$
$294$	0.237323	+	1.65062i	0.0138410	+	0.0962661i
$295$	0.256407	−	0.164783i	0.0149286	−	0.00959402i
$296$	4.06528	+	4.69159i	0.236290	+	0.272693i
$297$	3.15098	−	0.925210i	0.182838	−	0.0536861i
$298$	−4.04605			−0.234381
$299$	0.636062	−	0.223124i	0.0367844	−	0.0129036i
$300$	12.3172			0.711136
$301$	−3.62067	+	1.06312i	−0.208692	+	0.0612774i
$302$	−11.4657	−	13.2322i	−0.659779	−	0.761425i
$303$	−1.18468	+	0.761349i	−0.0680582	+	0.0437384i
$304$	−0.337972	−	2.35065i	−0.0193840	−	0.134819i
$305$	6.72860	+	4.32421i	0.385278	+	0.247603i
$306$	−2.59758	+	5.68791i	−0.148494	+	0.325156i
$307$	13.9130	−	16.0564i	0.794054	−	0.916387i	−0.203985	−	0.978974i	$-0.565390\pi$
$307$	13.9130	−	16.0564i	0.794054	−	0.916387i	0.998040	+	0.0625866i	$0.0199350\pi$
$308$	−1.37595	+	9.56994i	−0.0784020	+	0.545298i
$309$	3.33857	+	7.31045i	0.189925	+	0.415877i
$310$	9.13026	+	2.68089i	0.518564	+	0.152264i
$311$	−8.51610	−	2.50055i	−0.482904	−	0.141793i	0.0312144	−	0.999513i	$-0.490063\pi$
$311$	−8.51610	−	2.50055i	−0.482904	−	0.141793i	−0.514118	+	0.857719i	$0.671881\pi$
$312$	0.0583872	+	0.127850i	0.00330552	+	0.00723809i
$313$	−1.54784	+	10.7655i	−0.0874891	+	0.608500i	0.898157	+	0.439675i	$0.144906\pi$
$313$	−1.54784	+	10.7655i	−0.0874891	+	0.608500i	−0.985646	+	0.168825i	$0.946003\pi$
$314$	−1.86160	+	2.14840i	−0.105056	+	0.121241i
$315$	−5.08945	+	11.1443i	−0.286758	+	0.627912i
$316$	8.09558	+	5.20271i	0.455412	+	0.292676i
$317$	4.67026	+	32.4824i	0.262308	+	1.82439i	0.515400	+	0.856950i	$0.327643\pi$
$317$	4.67026	+	32.4824i	0.262308	+	1.82439i	−0.253092	+	0.967442i	$0.581447\pi$
$318$	−3.66007	+	2.35218i	−0.205246	+	0.131904i
$319$	−21.3721	−	24.6647i	−1.19661	−	1.38096i
$320$	−3.99283	+	1.17240i	−0.223206	+	0.0655392i
$321$	19.3300			1.07890
$322$	−13.7351	−	3.27139i	−0.765427	−	0.182307i
$323$	14.8497			0.826258
$324$	−0.959493	+	0.281733i	−0.0533052	+	0.0156518i
$325$	1.13370	+	1.30836i	0.0628863	+	0.0725747i
$326$	1.69051	−	1.08643i	0.0936288	−	0.0601716i
$327$	−0.922097	−	6.41333i	−0.0509921	−	0.354658i
$328$	−5.42765	−	3.48814i	−0.299692	−	0.192600i
$329$	−3.47358	+	7.60609i	−0.191505	+	0.419337i
$330$	−8.94935	+	10.3281i	−0.492645	+	0.568543i
$331$	2.50660	−	17.4338i	0.137775	−	0.958247i	−0.797246	−	0.603655i	$-0.793711\pi$
$331$	2.50660	−	17.4338i	0.137775	−	0.958247i	0.935021	−	0.354592i	$-0.115380\pi$
$332$	−4.57308	−	10.0137i	−0.250981	−	0.549571i
$333$	−5.95640	−	1.74896i	−0.326409	−	0.0958422i
$334$	−8.85381	−	2.59971i	−0.484459	−	0.142250i
$335$	7.49135	+	16.4038i	0.409296	+	0.896234i
$336$	0.418986	−	2.91411i	0.0228576	−	0.158978i
$337$	14.0826	−	16.2522i	0.767128	−	0.885313i	−0.228982	−	0.973431i	$-0.573540\pi$
$337$	14.0826	−	16.2522i	0.767128	−	0.885313i	0.996110	+	0.0881177i	$0.0280852\pi$
$338$	5.39219	−	11.8072i	0.293296	−	0.642230i
$339$	−8.76948	−	5.63580i	−0.476293	−	0.306095i
$340$	−3.70319	−	25.7563i	−0.200834	−	1.39683i
$341$	−6.31731	+	4.05989i	−0.342101	+	0.219855i
$342$	1.55518	+	1.79477i	0.0840942	+	0.0970499i
$343$	−15.0631	+	4.42292i	−0.813331	+	0.238815i
$344$	1.28173			0.0691064
$345$	−13.8324	−	14.3862i	−0.744711	−	0.774524i
$346$	−9.39646			−0.505157
$347$	−20.5387	+	6.03072i	−1.10258	+	0.323746i	−0.781876	−	0.623434i	$-0.785737\pi$
$347$	−20.5387	+	6.03072i	−1.10258	+	0.323746i	−0.320702	+	0.947180i	$0.603919\pi$
$348$	6.50793	+	7.51056i	0.348862	+	0.402608i
$349$	24.8430	−	15.9656i	1.32981	−	0.854619i	0.333698	−	0.942680i	$-0.391703\pi$
$349$	24.8430	−	15.9656i	1.32981	−	0.854619i	0.996115	+	0.0880610i	$0.0280670\pi$
$350$	−5.16075	−	35.8938i	−0.275854	−	1.91860i
$351$	−0.118239	−	0.0759879i	−0.00631115	−	0.00405593i
$352$	1.36422	−	2.98723i	0.0727133	−	0.159220i
$353$	5.82510	−	6.72252i	0.310039	−	0.357804i	−0.579250	−	0.815150i	$-0.696654\pi$
$353$	5.82510	−	6.72252i	0.310039	−	0.357804i	0.889289	+	0.457346i	$0.151200\pi$
$354$	0.0104235	−	0.0724971i	0.000554003	−	0.00385318i
$355$	16.9195	+	37.0485i	0.897992	+	1.96633i
$356$	−12.5730	−	3.69176i	−0.666367	−	0.195663i
$357$	17.6635	+	5.18648i	0.934854	+	0.274498i
$358$	8.48541	+	18.5805i	0.448468	+	0.982007i
$359$	−3.20348	+	22.2807i	−0.169073	+	1.17593i	0.711732	+	0.702451i	$0.247911\pi$
$359$	−3.20348	+	22.2807i	−0.169073	+	1.17593i	−0.880805	+	0.473479i	$0.842998\pi$
$360$	2.72514	−	3.14498i	0.143627	−	0.165755i
$361$	−5.55004	+	12.1529i	−0.292108	+	0.639626i
$362$	−12.5627	−	8.07358i	−0.660283	−	0.424338i
$363$	0.0306466	+	0.213152i	0.00160853	+	0.0111876i
$364$	0.348106	−	0.223714i	0.0182457	−	0.0117258i
$365$	−14.9485	−	17.2515i	−0.782439	−	0.902983i
$366$	1.84417	−	0.541496i	0.0963962	−	0.0283045i
$367$	−7.06807			−0.368950			−0.184475	−	0.982837i	$-0.559058\pi$
$367$	−7.06807			−0.368950			−0.184475	+	0.982837i	$0.559058\pi$
$368$	4.16330	+	2.38054i	0.217027	+	0.124094i
$369$	6.45186			0.335870
$370$	24.7869	−	7.27810i	1.28861	−	0.378371i
$371$	8.38804	+	9.68031i	0.435485	+	0.502577i
$372$	1.92366	−	1.23626i	0.0997373	−	0.0640973i
$373$	−2.53832	−	17.6544i	−0.131429	−	0.914111i	−0.943693	−	0.330821i	$-0.892674\pi$
$373$	−2.53832	−	17.6544i	−0.131429	−	0.914111i	0.812264	−	0.583290i	$-0.198235\pi$
$374$	17.2749	+	11.1019i	0.893266	+	0.574067i
$375$	12.6494	−	27.6982i	0.653210	−	1.43033i
$376$	1.85992	−	2.14647i	0.0959183	−	0.110696i
$377$	−0.198783	+	1.38257i	−0.0102379	+	0.0712059i
$378$	1.22301	+	2.67803i	0.0629051	+	0.137743i
$379$	20.2387	+	5.94262i	1.03959	+	0.305252i	0.756605	−	0.653872i	$-0.226856\pi$
$379$	20.2387	+	5.94262i	1.03959	+	0.305252i	0.282987	+	0.959124i	$0.408675\pi$
$380$	−9.48225	−	2.78424i	−0.486429	−	0.142829i
$381$	−2.56143	−	5.60875i	−0.131226	−	0.287345i
$382$	3.36637	−	23.4136i	0.172238	−	1.19794i
$383$	0.737643	−	0.851285i	0.0376918	−	0.0434986i	−0.736591	−	0.676339i	$-0.763566\pi$
$383$	0.737643	−	0.851285i	0.0376918	−	0.0434986i	0.774282	+	0.632840i	$0.218111\pi$
$384$	−0.415415	+	0.909632i	−0.0211991	+	0.0464195i
$385$	33.8469	+	21.7521i	1.72500	+	1.10859i
$386$	−0.278201	−	1.93493i	−0.0141601	−	0.0984855i
$387$	−1.07826	+	0.692957i	−0.0548111	+	0.0352250i
$388$	7.99595	+	9.22782i	0.405933	+	0.468472i
$389$	−2.99302	+	0.878831i	−0.151752	+	0.0445585i	−0.356726	−	0.934209i	$-0.616107\pi$
$389$	−2.99302	+	0.878831i	−0.151752	+	0.0445585i	0.204974	+	0.978767i	$0.434289\pi$
$390$	0.584891			0.0296171
$391$	−18.4388	+	23.6496i	−0.932491	+	1.19601i
$392$	−1.66759			−0.0842262
$393$	6.18445	−	1.81592i	0.311964	−	0.0916009i
$394$	1.23081	+	1.42043i	0.0620075	+	0.0715604i
$395$	33.6889	−	21.6506i	1.69507	−	1.08936i
$396$	0.467362	+	3.25057i	0.0234858	+	0.163347i
$397$	−17.3783	−	11.1683i	−0.872191	−	0.560523i	0.0262310	−	0.999656i	$-0.491649\pi$
$397$	−17.3783	−	11.1683i	−0.872191	−	0.560523i	−0.898422	+	0.439133i	$0.855286\pi$
$398$	6.85595	−	15.0124i	0.343658	−	0.752505i
$399$	4.57856	−	5.28394i	0.229215	−	0.264528i
$400$	−1.75293	+	12.1919i	−0.0876463	+	0.609593i
$401$	−4.28020	−	9.37233i	−0.213743	−	0.468032i	0.772143	−	0.635448i	$-0.219185\pi$
$401$	−4.28020	−	9.37233i	−0.213743	−	0.468032i	−0.985886	+	0.167417i	$0.946457\pi$
$402$	4.15796	+	1.22089i	0.207380	+	0.0608923i
$403$	0.308375	+	0.0905471i	0.0153613	+	0.00451047i
$404$	−0.585002	−	1.28098i	−0.0291049	−	0.0637309i
$405$	−0.592229	+	4.11904i	−0.0294281	+	0.204677i
$406$	19.1599	−	22.1117i	0.950888	−	1.09738i
$407$	−8.46891	+	18.5443i	−0.419788	+	0.919208i
$408$	−5.26034	−	3.38061i	−0.260425	−	0.167365i
$409$	−0.512727	−	3.56610i	−0.0253527	−	0.176332i	0.973211	−	0.229915i	$-0.0738449\pi$
$409$	−0.512727	−	3.56610i	−0.0253527	−	0.176332i	−0.998563	+	0.0535831i	$0.982936\pi$
$410$	−22.5866	+	14.5155i	−1.11547	+	0.716871i
$411$	−9.42600	−	10.8782i	−0.464950	−	0.536581i
$412$	−7.71117	+	2.26420i	−0.379902	+	0.111549i
$413$	−0.215632			−0.0106106
$414$	−4.78940	+	0.248210i	−0.235386	+	0.0121989i
$415$	−45.8106			−2.24876
$416$	−0.134858	+	0.0395979i	−0.00661197	+	0.00194145i
$417$	7.16687	+	8.27101i	0.350963	+	0.405033i
$418$	6.56086	−	4.21641i	0.320902	−	0.206231i
$419$	−1.92082	−	13.3596i	−0.0938382	−	0.652659i	−0.981401	−	0.191971i	$-0.938512\pi$
$419$	−1.92082	−	13.3596i	−0.0938382	−	0.652659i	0.887562	−	0.460687i	$-0.152397\pi$
$420$	−10.3066	−	6.62365i	−0.502911	−	0.323201i
$421$	6.91556	−	15.1430i	0.337044	−	0.738023i	−0.662899	−	0.748709i	$-0.730674\pi$
$421$	6.91556	−	15.1430i	0.337044	−	0.738023i	0.999943	+	0.0106857i	$0.00340143\pi$
$422$	3.91488	−	4.51801i	0.190573	−	0.219933i
$423$	−0.404200	+	2.81127i	−0.0196529	+	0.136689i
$424$	−1.80736	−	3.95756i	−0.0877731	−	0.192196i
$425$	−73.8995	−	21.6989i	−3.58465	−	1.05255i
$426$	9.39090	+	2.75742i	0.454990	+	0.133597i
$427$	−2.35066	−	5.14723i	−0.113756	−	0.249092i
$428$	−2.75095	+	19.1333i	−0.132972	+	0.924842i
$429$	−0.302265	+	0.348832i	−0.0145935	+	0.0168418i
$430$	2.21574	−	4.85180i	0.106853	−	0.233974i
$431$	−17.6801	−	11.3623i	−0.851621	−	0.547304i	0.0404589	−	0.999181i	$-0.487118\pi$
$431$	−17.6801	−	11.3623i	−0.851621	−	0.547304i	−0.892080	+	0.451878i	$0.850754\pi$
$432$	−0.142315	−	0.989821i	−0.00684713	−	0.0476228i
$433$	−1.74431	+	1.12100i	−0.0838263	+	0.0538719i	−0.581883	−	0.813273i	$-0.697684\pi$
$433$	−1.74431	+	1.12100i	−0.0838263	+	0.0538719i	0.498056	+	0.867145i	$0.334047\pi$
$434$	−4.40860	−	5.08779i	−0.211619	−	0.244222i
$435$	39.6803	−	11.6512i	1.90253	−	0.558632i
$436$	6.47928			0.310301
$437$	5.26110	+	10.1013i	0.251673	+	0.483209i
$438$	−5.48540			−0.262103
$439$	−2.17757	+	0.639393i	−0.103930	+	0.0305166i	−0.333284	−	0.942826i	$-0.608157\pi$
$439$	−2.17757	+	0.639393i	−0.103930	+	0.0305166i	0.229354	+	0.973343i	$0.426339\pi$
$440$	−8.94935	−	10.3281i	−0.426643	−	0.492373i
$441$	1.40287	−	0.901569i	0.0668033	−	0.0429319i
$442$	−0.125076	−	0.869919i	−0.00594924	−	0.0413778i
$443$	22.5605	+	14.4988i	1.07188	+	0.688858i	0.952669	−	0.304011i	$-0.0983258\pi$
$443$	22.5605	+	14.4988i	1.07188	+	0.688858i	0.119215	+	0.992868i	$0.461962\pi$
$444$	2.57884	−	5.64687i	0.122386	−	0.267989i
$445$	−35.7096	+	41.2111i	−1.69280	+	1.95359i
$446$	−2.86327	+	19.9145i	−0.135580	+	0.942978i
$447$	1.68079	+	3.68041i	0.0794985	+	0.174078i
$448$	2.82482	+	0.829443i	0.133460	+	0.0391875i
$449$	−4.38432	−	1.28735i	−0.206909	−	0.0607539i	0.176636	−	0.984276i	$-0.443479\pi$
$449$	−4.38432	−	1.28735i	−0.206909	−	0.0607539i	−0.383544	+	0.923522i	$0.625297\pi$
$450$	−5.11677	−	11.2042i	−0.241207	−	0.528169i
$451$	3.01535	−	20.9722i	0.141987	−	0.987544i
$452$	6.82646	−	7.87816i	0.321090	−	0.370557i
$453$	−7.27336	+	15.9264i	−0.341732	+	0.748289i
$454$	−10.9816	−	7.05747i	−0.515394	−	0.331224i
$455$	−0.245061	−	1.70444i	−0.0114886	−	0.0799052i
$456$	−1.99782	+	1.28392i	−0.0935567	+	0.0601252i
$457$	17.5597	+	20.2650i	0.821409	+	0.947957i	0.999349	−	0.0360845i	$-0.0114885\pi$
$457$	17.5597	+	20.2650i	0.821409	+	0.947957i	−0.177939	+	0.984041i	$0.556943\pi$
$458$	17.0780	−	5.01455i	0.798002	−	0.234315i
$459$	6.25297			0.291864
$460$	16.2083	−	11.6442i	0.755715	−	0.542915i
$461$	−1.33658			−0.0622507			−0.0311253	−	0.999515i	$-0.509909\pi$
$461$	−1.33658			−0.0622507			−0.0311253	+	0.999515i	$0.509909\pi$
$462$	9.27672	−	2.72389i	0.431592	−	0.126727i
$463$	23.7519	+	27.4112i	1.10384	+	1.27390i	0.958677	+	0.284498i	$0.0918268\pi$
$463$	23.7519	+	27.4112i	1.10384	+	1.27390i	0.145168	+	0.989407i	$0.453628\pi$
$464$	−8.36028	+	5.37283i	−0.388116	+	0.249427i
$465$	−1.35423	−	9.41886i	−0.0628008	−	0.436789i
$466$	−8.24283	−	5.29734i	−0.381842	−	0.245395i
$467$	−5.53507	+	12.1201i	−0.256132	+	0.560852i	−0.993394	−	0.114756i	$-0.963391\pi$
$467$	−5.53507	+	12.1201i	−0.256132	+	0.560852i	0.737261	+	0.675608i	$0.236119\pi$
$468$	0.0920417	−	0.106222i	0.00425463	−	0.00491010i
$469$	1.81567	−	12.6283i	0.0838401	−	0.583121i
$470$	−4.90985	−	10.7511i	−0.226474	−	0.495910i
$471$	2.72759	+	0.800892i	0.125681	+	0.0369031i
$472$	0.0702757	+	0.0206348i	0.00323470	+	0.000949795i
$473$	1.74857	+	3.82883i	0.0803993	+	0.176050i
$474$	1.36953	−	9.52529i	0.0629046	−	0.437511i
$475$	−19.1555	+	22.1066i	−0.878913	+	1.01432i
$476$	−7.64748	+	16.7456i	−0.350521	+	0.767535i
$477$	3.66007	+	2.35218i	0.167583	+	0.107699i
$478$	0.426324	+	2.96515i	0.0194996	+	0.135623i
$479$	22.3396	−	14.3568i	1.02072	−	0.655977i	0.0805743	−	0.996749i	$-0.474325\pi$
$479$	22.3396	−	14.3568i	1.02072	−	0.655977i	0.940146	+	0.340771i	$0.110688\pi$
$480$	2.72514	+	3.14498i	0.124385	+	0.143548i
$481$	0.837181	−	0.245818i	0.0381722	−	0.0112084i
$482$	20.4314			0.930625
$483$	2.73001	+	13.8529i	0.124220	+	0.630327i
$484$	−0.215343			−0.00978834
$485$	48.7531	−	14.3152i	2.21377	−	0.650020i
$486$	0.654861	+	0.755750i	0.0297051	+	0.0342815i
$487$	−10.9925	+	7.06445i	−0.498118	+	0.320121i	−0.765463	−	0.643480i	$-0.777490\pi$
$487$	−10.9925	+	7.06445i	−0.498118	+	0.320121i	0.267345	+	0.963601i	$0.413854\pi$
$488$	0.273532	+	1.90246i	0.0123822	+	0.0861203i
$489$	−1.69051	−	1.08643i	−0.0764476	−	0.0491299i
$490$	−2.88278	+	6.31241i	−0.130231	+	0.285166i
$491$	22.0074	−	25.3979i	0.993182	−	1.14619i	0.00392677	−	0.999992i	$-0.498750\pi$
$491$	22.0074	−	25.3979i	0.993182	−	1.14619i	0.989255	−	0.146201i	$-0.0467045\pi$
$492$	−0.918195	+	6.38618i	−0.0413954	+	0.287911i
$493$	−25.8145	−	56.5258i	−1.16262	−	2.54579i
$494$	−0.320264	−	0.0940379i	−0.0144093	−	0.00423096i
$495$	13.1125	+	3.85017i	0.589361	+	0.173052i
$496$	0.949914	+	2.08002i	0.0426524	+	0.0933957i
$497$	4.10076	−	28.5214i	0.183944	−	1.27936i
$498$	−7.20901	+	8.31965i	−0.323044	+	0.372812i
$499$	10.0598	−	22.0279i	0.450339	−	0.986104i	−0.539245	−	0.842149i	$-0.681290\pi$
$499$	10.0598	−	22.0279i	0.450339	−	0.986104i	0.989584	−	0.143956i	$-0.0459823\pi$
$500$	25.6161	+	16.4625i	1.14559	+	0.736225i
$501$	1.31322	+	9.13366i	0.0586705	+	0.408062i
$502$	0.836551	−	0.537619i	0.0373371	−	0.0239951i
$503$	26.7257	+	30.8431i	1.19164	+	1.37522i	0.909422	+	0.415874i	$0.136524\pi$
$503$	26.7257	+	30.8431i	1.19164	+	1.37522i	0.282216	+	0.959351i	$0.408930\pi$
$504$	−2.82482	+	0.829443i	−0.125828	+	0.0369463i
$505$	−5.86023			−0.260777
$506$	−1.43156	+	15.6843i	−0.0636406	+	0.697253i
$507$	−12.9802			−0.576473
$508$	5.91619	−	1.73715i	0.262488	−	0.0770736i
$509$	4.25973	+	4.91599i	0.188809	+	0.217897i	0.842260	−	0.539072i	$-0.181225\pi$
$509$	4.25973	+	4.91599i	0.188809	+	0.217897i	−0.653451	+	0.756969i	$0.726679\pi$
$510$	−21.8904	+	14.0681i	−0.969321	+	0.622945i
$511$	2.29831	+	15.9851i	0.101671	+	0.707138i
$512$	−0.841254	−	0.540641i	−0.0371785	−	0.0238932i
$513$	0.986535	−	2.16021i	0.0435566	−	0.0953756i
$514$	−4.59761	+	5.30592i	−0.202792	+	0.234034i
$515$	−4.75957	+	33.1036i	−0.209732	+	1.45872i
$516$	−0.532451	−	1.16590i	−0.0234398	−	0.0513261i
$517$	8.94935	+	2.62777i	0.393592	+	0.115569i
$518$	−17.5361	−	5.14906i	−0.770492	−	0.226237i
$519$	3.90343	+	8.54732i	0.171342	+	0.375186i
$520$	−0.0832386	+	0.578937i	−0.00365026	+	0.0253881i
$521$	−26.3099	+	30.3633i	−1.15266	+	1.33024i	−0.217481	+	0.976065i	$0.569784\pi$
$521$	−26.3099	+	30.3633i	−1.15266	+	1.33024i	−0.935179	+	0.354176i	$0.884761\pi$
$522$	4.12835	−	9.03982i	0.180693	−	0.395662i
$523$	−10.3505	−	6.65184i	−0.452594	−	0.290865i	0.294416	−	0.955677i	$-0.404875\pi$
$523$	−10.3505	−	6.65184i	−0.452594	−	0.290865i	−0.747010	+	0.664813i	$0.768511\pi$
$524$	0.917296	+	6.37993i	0.0400722	+	0.278709i
$525$	−30.5063	+	19.6052i	−1.33140	+	0.855641i
$526$	−11.3765	−	13.1292i	−0.496038	−	0.572459i
$527$	−13.7193	+	4.02834i	−0.597620	+	0.175477i
$528$	−3.28400			−0.142918
$529$	−22.6199	−	4.16388i	−0.983476	−	0.181038i
$530$	−18.1051			−0.786436
$531$	−0.0702757	+	0.0206348i	−0.00304971	+	0.000895475i
$532$	4.57856	+	5.28394i	0.198506	+	0.229088i
$533$	−0.762864	+	0.490263i	−0.0330433	+	0.0212356i
$534$	1.86486	+	12.9704i	0.0807005	+	0.561285i
$535$	67.6704	+	43.4891i	2.92565	+	1.88020i
$536$	−1.80020	+	3.94189i	−0.0777568	+	0.170264i
$537$	13.3764	−	15.4372i	0.577235	−	0.666164i
$538$	4.32768	−	30.0997i	0.186580	−	1.29769i
$539$	−2.27497	−	4.98149i	−0.0979899	−	0.214568i
$540$	−3.99283	−	1.17240i	−0.171824	−	0.0504521i
$541$	−2.78522	−	0.817814i	−0.119746	−	0.0351606i	0.221311	−	0.975203i	$-0.428967\pi$
$541$	−2.78522	−	0.817814i	−0.119746	−	0.0351606i	−0.341056	+	0.940043i	$0.610785\pi$
$542$	2.51560	+	5.50840i	0.108054	+	0.236606i
$543$	−2.12524	+	14.7814i	−0.0912027	+	0.634329i
$544$	4.09483	−	4.72568i	0.175564	−	0.202612i
$545$	11.2008	−	24.5263i	0.479788	−	1.05059i
$546$	−0.348106	−	0.223714i	−0.0148976	−	0.00957408i
$547$	−3.80018	−	26.4309i	−0.162484	−	1.13010i	−0.893931	−	0.448204i	$-0.852064\pi$
$547$	−3.80018	−	26.4309i	−0.162484	−	1.13010i	0.731447	−	0.681898i	$-0.238845\pi$
$548$	12.1089	−	7.78193i	0.517267	−	0.332428i
$549$	−1.25866	−	1.45257i	−0.0537182	−	0.0619941i
$550$	−38.8113	+	11.3960i	−1.65492	+	0.485928i
$551$	−23.6007			−1.00542
$552$	0.435919	−	4.77598i	0.0185540	−	0.203279i
$553$	−28.3316			−1.20478
$554$	7.27345	−	2.13568i	0.309019	−	0.0907362i
$555$	−16.9173	−	19.5236i	−0.718098	−	0.828729i
$556$	−9.20678	+	5.91684i	−0.390454	+	0.250930i
$557$	3.55584	+	24.7314i	0.150666	+	1.04790i	0.915107	+	0.403211i	$0.132106\pi$
$557$	3.55584	+	24.7314i	0.150666	+	1.04790i	−0.764441	+	0.644693i	$0.776985\pi$
$558$	−1.92366	−	1.23626i	−0.0814351	−	0.0523352i
$559$	0.0748368	−	0.163870i	0.00316526	−	0.00693095i
$560$	8.02301	−	9.25905i	0.339034	−	0.391266i
$561$	2.92240	−	20.3258i	0.123384	−	0.858154i
$562$	6.44278	+	14.1077i	0.271772	+	0.595099i
$563$	−29.9255	−	8.78692i	−1.26121	−	0.370325i	−0.418265	−	0.908325i	$-0.637362\pi$
$563$	−29.9255	−	8.78692i	−1.26121	−	0.370325i	−0.842944	+	0.538001i	$0.819180\pi$
$564$	−2.72514	−	0.800172i	−0.114749	−	0.0336933i
$565$	−18.0206	−	39.4595i	−0.758131	−	1.66007i
$566$	−1.34098	+	9.32675i	−0.0563658	+	0.392033i
$567$	1.92796	−	2.22499i	0.0809667	−	0.0934406i
$568$	−4.06581	+	8.90289i	−0.170598	+	0.373557i
$569$	5.10503	+	3.28080i	0.214014	+	0.137538i	0.643256	−	0.765651i	$-0.277583\pi$
$569$	5.10503	+	3.28080i	0.214014	+	0.137538i	−0.429242	+	0.903189i	$0.641219\pi$
$570$	1.40644	+	9.78198i	0.0589091	+	0.409722i
$571$	−29.8567	+	19.1877i	−1.24946	+	0.802982i	−0.986806	−	0.161907i	$-0.948236\pi$
$571$	−29.8567	+	19.1877i	−1.24946	+	0.802982i	−0.262658	+	0.964889i	$0.584599\pi$
$572$	−0.302265	−	0.348832i	−0.0126383	−	0.0145854i
$573$	−22.6962	+	6.66420i	−0.948147	+	0.278401i
$574$	18.9948			0.792826
$575$	−11.4216	−	57.9567i	−0.476314	−	2.41696i
$576$	1.00000			0.0416667
$577$	−5.73647	+	1.68438i	−0.238812	+	0.0701216i	−0.398949	−	0.916973i	$-0.630625\pi$
$577$	−5.73647	+	1.68438i	−0.238812	+	0.0701216i	0.160136	+	0.987095i	$0.448807\pi$
$578$	14.4722	+	16.7018i	0.601965	+	0.694705i
$579$	−1.64451	+	1.05686i	−0.0683434	+	0.0439216i
$580$	5.88550	+	40.9346i	0.244382	+	1.69972i
$581$	27.2648	+	17.5221i	1.13114	+	0.726937i
$582$	5.07228	−	11.1068i	0.210253	−	0.460390i
$583$	9.35652	−	10.7980i	0.387507	−	0.447207i
$584$	0.780654	−	5.42957i	0.0323037	−	0.224677i
$585$	−0.242972	−	0.532035i	−0.0100457	−	0.0219970i
$586$	−5.81179	−	1.70649i	−0.240083	−	0.0704946i
$587$	7.42084	+	2.17895i	0.306291	+	0.0899351i	0.431266	−	0.902225i	$-0.358067\pi$
$587$	7.42084	+	2.17895i	0.306291	+	0.0899351i	−0.124975	+	0.992160i	$0.539885\pi$
$588$	0.692743	+	1.51690i	0.0285683	+	0.0625558i
$589$	−0.772828	+	5.37513i	−0.0318438	+	0.221479i
$590$	0.199596	−	0.230346i	0.00821724	−	0.00948320i
$591$	0.780774	−	1.70966i	0.0321168	−	0.0703259i
$592$	5.22238	+	3.35622i	0.214639	+	0.137940i
$593$	−2.74913	−	19.1206i	−0.112893	−	0.785189i	−0.965081	−	0.261953i	$-0.915634\pi$
$593$	−2.74913	−	19.1206i	−0.112893	−	0.785189i	0.852188	−	0.523236i	$-0.175276\pi$
$594$	2.76268	−	1.77546i	0.113354	−	0.0728482i
$595$	50.1677	+	57.8966i	2.05668	+	2.37353i
$596$	−3.88215	+	1.13990i	−0.159019	+	0.0466922i
$597$	−16.5039			−0.675458
$598$	0.547435	−	0.393285i	0.0223863	−	0.0160826i
$599$	18.1025			0.739648			0.369824	−	0.929102i	$-0.379418\pi$
$599$	18.1025			0.739648			0.369824	+	0.929102i	$0.379418\pi$
$600$	11.8183	−	3.47017i	0.482480	−	0.141669i
$601$	20.6430	+	23.8232i	0.842044	+	0.971771i	0.999877	−	0.0156953i	$-0.00499619\pi$
$601$	20.6430	+	23.8232i	0.842044	+	0.971771i	−0.157833	+	0.987466i	$0.550451\pi$
$602$	−3.17449	+	2.04012i	−0.129382	+	0.0831490i
$603$	−0.616721	−	4.28939i	−0.0251148	−	0.174677i
$604$	−14.7292	−	9.46590i	−0.599323	−	0.385162i
$605$	−0.372266	+	0.815149i	−0.0151348	+	0.0331405i
$606$	−0.922198	+	1.06427i	−0.0374617	+	0.0432331i
$607$	−1.35687	+	9.43722i	−0.0550735	+	0.383045i	0.943579	+	0.331148i	$0.107436\pi$
$607$	−1.35687	+	9.43722i	−0.0550735	+	0.383045i	−0.998652	+	0.0518971i	$0.983473\pi$
$608$	−0.986535	−	2.16021i	−0.0400093	−	0.0876081i
$609$	−28.0728	−	8.24291i	−1.13757	−	0.334019i
$610$	7.67431	+	2.25338i	0.310724	+	0.0912368i
$611$	−0.165830	−	0.363118i	−0.00670878	−	0.0146902i
$612$	−0.889891	+	6.18933i	−0.0359717	+	0.250189i
$613$	9.33907	−	10.7779i	0.377201	−	0.435314i	−0.535128	−	0.844771i	$-0.679737\pi$
$613$	9.33907	−	10.7779i	0.377201	−	0.435314i	0.912329	+	0.409457i	$0.134282\pi$
$614$	8.82577	−	19.3257i	0.356179	−	0.779923i
$615$	22.5866	+	14.5155i	0.910780	+	0.585322i
$616$	1.37595	+	9.56994i	0.0554386	+	0.385584i
$617$	−2.60863	+	1.67647i	−0.105020	+	0.0674921i	−0.592096	−	0.805867i	$-0.701700\pi$
$617$	−2.60863	+	1.67647i	−0.105020	+	0.0674921i	0.487077	+	0.873359i	$0.338063\pi$
$618$	5.26293	+	6.07374i	0.211706	+	0.244322i
$619$	−43.4217	+	12.7498i	−1.74526	+	0.512456i	−0.989767	−	0.142696i	$-0.954423\pi$
$619$	−43.4217	+	12.7498i	−1.74526	+	0.512456i	−0.755497	+	0.655152i	$0.772605\pi$
$620$	9.51571			0.382160
$621$	2.21537	+	4.25348i	0.0888997	+	0.170686i
$622$	−8.87563			−0.355880
$623$	37.0159	−	10.8688i	1.48301	−	0.435451i
$624$	0.0920417	+	0.106222i	0.00368462	+	0.00425227i
$625$	54.7893	−	35.2109i	2.19157	−	1.40844i
$626$	1.54784	+	10.7655i	0.0618642	+	0.430275i
$627$	−6.56086	−	4.21641i	−0.262015	−	0.168387i
$628$	−1.18092	+	2.58584i	−0.0471237	+	0.103186i
$629$	−25.4201	+	29.3364i	−1.01357	+	1.16972i
$630$	−1.74357	+	12.1268i	−0.0694654	+	0.483142i
$631$	9.54254	+	20.8953i	0.379883	+	0.831827i	0.998920	+	0.0464653i	$0.0147957\pi$
$631$	9.54254	+	20.8953i	0.379883	+	0.831827i	−0.619037	+	0.785362i	$0.712477\pi$
$632$	9.23343	+	2.71118i	0.367286	+	0.107845i
$633$	−5.73603	−	1.68425i	−0.227987	−	0.0669429i
$634$	13.6324	+	29.8508i	0.541413	+	1.18553i
$635$	3.65166	−	25.3978i	0.144912	−	1.00788i
$636$	−2.84912	+	3.28806i	−0.112975	+	0.130380i
$637$	−0.0973661	+	0.213202i	−0.00385779	+	0.00844737i
$638$	−27.4552	−	17.6444i	−1.08696	−	0.698547i
$639$	−1.39289	−	9.68773i	−0.0551017	−	0.383241i
$640$	−3.50079	+	2.24982i	−0.138381	+	0.0889320i
$641$	12.8841	+	14.8691i	0.508893	+	0.587293i	0.950815	−	0.309760i	$-0.100249\pi$
$641$	12.8841	+	14.8691i	0.508893	+	0.587293i	−0.441922	+	0.897053i	$0.645703\pi$
$642$	18.5470	−	5.44590i	0.731993	−	0.214932i
$643$	−23.1768			−0.914005			−0.457003	−	0.889465i	$-0.651077\pi$
$643$	−23.1768			−0.914005			−0.457003	+	0.889465i	$0.651077\pi$
$644$	−14.1004	+	0.730750i	−0.555633	+	0.0287956i
$645$	−5.33380			−0.210018
$646$	14.2482	−	4.18364i	0.560586	−	0.164603i
$647$	−24.5633	−	28.3475i	−0.965683	−	1.11446i	−0.993384	−	0.114841i	$-0.963364\pi$
$647$	−24.5633	−	28.3475i	−0.965683	−	1.11446i	0.0277013	−	0.999616i	$-0.491181\pi$
$648$	−0.841254	+	0.540641i	−0.0330476	+	0.0212384i
$649$	0.0342308	+	0.238080i	0.00134368	+	0.00934547i
$650$	1.45638	+	0.935961i	0.0571241	+	0.0367114i
$651$	−2.79662	+	6.12374i	−0.109608	+	0.240008i
$652$	1.31595	−	1.51869i	0.0515367	−	0.0594765i
$653$	1.90104	−	13.2220i	0.0743935	−	0.517418i	−0.918217	−	0.396077i	$-0.870371\pi$
$653$	1.90104	−	13.2220i	0.0743935	−	0.517418i	0.992611	−	0.121341i	$-0.0387195\pi$
$654$	−2.69159	−	5.89376i	−0.105249	−	0.230464i
$655$	25.7360	+	7.55676i	1.00559	+	0.295267i
$656$	−6.19051	−	1.81770i	−0.241699	−	0.0709692i
$657$	2.27872	+	4.98970i	0.0889013	+	0.194667i
$658$	−1.19000	+	8.27661i	−0.0463909	+	0.322656i
$659$	9.21102	−	10.6301i	0.358810	−	0.414089i	−0.547430	−	0.836851i	$-0.684394\pi$
$659$	9.21102	−	10.6301i	0.358810	−	0.414089i	0.906241	+	0.422762i	$0.138939\pi$
$660$	−5.67708	+	12.4311i	−0.220980	+	0.483878i
$661$	−6.47163	−	4.15906i	−0.251717	−	0.161769i	0.408697	−	0.912670i	$-0.365983\pi$
$661$	−6.47163	−	4.15906i	−0.251717	−	0.161769i	−0.660415	+	0.750901i	$0.729619\pi$
$662$	−2.50660	−	17.4338i	−0.0974217	−	0.677583i
$663$	−0.739348	+	0.475150i	−0.0287139	+	0.0184533i
$664$	−7.20901	−	8.31965i	−0.279764	−	0.322865i
$665$	27.9165	−	8.19702i	1.08255	−	0.317867i
$666$	−6.20786			−0.240550
$667$	29.3049	−	37.5864i	1.13469	−	1.45535i
$668$	−9.22759			−0.357026
$669$	19.3043	−	5.66825i	0.746347	−	0.219147i
$670$	11.8094	+	13.6287i	0.456236	+	0.526524i
$671$	−5.30993	+	3.41248i	−0.204987	+	0.131737i
$672$	−0.418986	−	2.91411i	−0.0161627	−	0.112414i
$673$	−41.4411	−	26.6326i	−1.59744	−	1.02661i	−0.968455	−	0.249190i	$-0.919836\pi$
$673$	−41.4411	−	26.6326i	−1.59744	−	1.02661i	−0.628982	−	0.777420i	$-0.716528\pi$
$674$	8.93338	−	19.5614i	0.344101	−	0.753476i
$675$	−8.06608	+	9.30875i	−0.310463	+	0.358294i
$676$	1.84728	−	12.8481i	0.0710493	−	0.494159i
$677$	−12.0855	−	26.4637i	−0.464485	−	1.01708i	−0.986442	−	0.164109i	$-0.947525\pi$
$677$	−12.0855	−	26.4637i	−0.464485	−	1.01708i	0.521957	−	0.852972i	$-0.325202\pi$
$678$	−10.0020	−	2.93686i	−0.384126	−	0.112790i
$679$	−34.4915	−	10.1276i	−1.32366	−	0.388663i
$680$	−10.8096	−	23.6696i	−0.414528	−	0.907689i
$681$	−1.85776	+	12.9210i	−0.0711897	+	0.495135i
$682$	−4.91761	+	5.67523i	−0.188305	+	0.217316i
$683$	−3.51040	+	7.68671i	−0.134322	+	0.294124i	−0.964826	−	0.262888i	$-0.915325\pi$
$683$	−3.51040	+	7.68671i	−0.134322	+	0.294124i	0.830505	+	0.557012i	$0.188052\pi$
$684$	1.99782	+	1.28392i	0.0763887	+	0.0490921i
$685$	−8.52448	−	59.2891i	−0.325704	−	2.26532i
$686$	−13.2069	+	8.48753i	−0.504240	+	0.324055i
$687$	−11.6558	−	13.4516i	−0.444698	−	0.513209i
$688$	1.22981	−	0.361106i	0.0468862	−	0.0137670i
$689$	−0.611502			−0.0232964
$690$	−17.3251	−	9.90637i	−0.659557	−	0.377129i
$691$	16.9073			0.643183			0.321592	−	0.946878i	$-0.395782\pi$
$691$	16.9073			0.643183			0.321592	+	0.946878i	$0.395782\pi$
$692$	−9.01583	+	2.64729i	−0.342731	+	0.100635i
$693$	−6.33142	−	7.30685i	−0.240511	−	0.277564i
$694$	−18.0077	+	11.5729i	−0.683564	+	0.439300i
$695$	6.48142	+	45.0793i	0.245854	+	1.70995i
$696$	8.36028	+	5.37283i	0.316896	+	0.203657i
$697$	16.7592	−	36.6975i	0.634800	−	1.39002i
$698$	19.3386	−	22.3180i	0.731977	−	0.844747i
$699$	−1.39444	+	9.69854i	−0.0527425	+	0.366832i
$700$	−15.0642	−	32.9859i	−0.569372	−	1.24675i
$701$	26.2374	+	7.70400i	0.990973	+	0.290976i	0.736747	−	0.676169i	$-0.236361\pi$
$701$	26.2374	+	7.70400i	0.990973	+	0.290976i	0.254227	+	0.967145i	$0.418179\pi$
$702$	−0.134858	−	0.0395979i	−0.00508989	−	0.00149453i
$703$	6.12427	+	13.4103i	0.230981	+	0.505779i
$704$	0.467362	−	3.25057i	0.0176144	−	0.122511i
$705$	−7.73989	+	8.93231i	−0.291501	+	0.336410i
$706$	3.69519	−	8.09134i	0.139070	−	0.304521i
$707$	3.48780	+	2.24147i	0.131172	+	0.0842992i
$708$	−0.0104235	−	0.0724971i	−0.000391739	−	0.00272461i
$709$	−0.598495	+	0.384630i	−0.0224770	+	0.0144451i	−0.551831	−	0.833956i	$-0.686071\pi$
$709$	−0.598495	+	0.384630i	−0.0224770	+	0.0144451i	0.529354	+	0.848401i	$0.322434\pi$
$710$	26.6719	+	30.7810i	1.00098	+	1.15519i
$711$	−9.23343	+	2.71118i	−0.346281	+	0.101677i
$712$	−13.1038			−0.491085
$713$	−7.60081	−	7.90510i	−0.284653	−	0.296048i
$714$	18.4092			0.688949
$715$	−1.84298	+	0.541147i	−0.0689234	+	0.0202377i
$716$	13.3764	+	15.4372i	0.499900	+	0.576915i
$717$	2.52009	−	1.61956i	0.0941146	−	0.0604838i
$718$	3.20348	+	22.2807i	0.119553	+	0.831508i
$719$	−16.6413	−	10.6947i	−0.620615	−	0.398845i	0.192209	−	0.981354i	$-0.438435\pi$
$719$	−16.6413	−	10.6947i	−0.620615	−	0.398845i	−0.812824	+	0.582509i	$0.802071\pi$
$720$	1.72871	−	3.78534i	0.0644251	−	0.141071i
$721$	15.4945	−	17.8816i	0.577044	−	0.665944i
$722$	−1.90136	+	13.2242i	−0.0707613	+	0.492156i
$723$	−8.48751	−	18.5851i	−0.315654	−	0.691186i
$724$	−14.3285	−	4.20721i	−0.532513	−	0.156360i
$725$	117.449	+	34.4861i	4.36195	+	1.28078i
$726$	0.0894569	+	0.195883i	0.00332006	+	0.00726991i
$727$	4.91238	−	34.1664i	0.182190	−	1.26716i	−0.669380	−	0.742920i	$-0.733440\pi$
$727$	4.91238	−	34.1664i	0.182190	−	1.26716i	0.851570	−	0.524241i	$-0.175651\pi$
$728$	0.270978	−	0.312725i	0.0100431	−	0.0115904i
$729$	0.415415	−	0.909632i	0.0153857	−	0.0336901i
$730$	−19.2033	−	12.3412i	−0.710744	−	0.456768i
$731$	1.14060	+	7.93306i	0.0421867	+	0.293415i
$732$	1.61691	−	1.03912i	0.0597626	−	0.0384071i
$733$	5.98030	+	6.90163i	0.220887	+	0.254918i	0.855368	−	0.518021i	$-0.173331\pi$
$733$	5.98030	+	6.90163i	0.220887	+	0.254918i	−0.634480	+	0.772939i	$0.718786\pi$
$734$	−6.78176	+	1.99130i	−0.250319	+	0.0735004i
$735$	6.93952			0.255968
$736$	4.66533	+	1.11118i	0.171966	+	0.0409585i
$737$	−14.2312			−0.524213
$738$	6.19051	−	1.81770i	0.227876	−	0.0669104i
$739$	−4.12387	−	4.75920i	−0.151699	−	0.175070i	0.674814	−	0.737988i	$-0.264224\pi$
$739$	−4.12387	−	4.75920i	−0.151699	−	0.175070i	−0.826513	+	0.562918i	$0.809679\pi$
$740$	21.7324	−	13.9666i	0.798900	−	0.513422i
$741$	0.0475025	+	0.330387i	0.00174505	+	0.0121371i
$742$	10.7755	+	6.92501i	0.395582	+	0.254225i
$743$	9.78288	−	21.4215i	0.358899	−	0.785879i	−0.640934	−	0.767596i	$-0.721453\pi$
$743$	9.78288	−	21.4215i	0.358899	−	0.785879i	0.999833	−	0.0182830i	$-0.00581997\pi$
$744$	1.49745	−	1.72814i	0.0548990	−	0.0633568i
$745$	−2.39618	+	16.6658i	−0.0877894	+	0.610589i
$746$	−7.40933	−	16.2242i	−0.271275	−	0.594009i
$747$	10.5625	+	3.10144i	0.386463	+	0.113476i
$748$	19.7030	+	5.78531i	0.720412	+	0.211532i
$749$	−23.6409	−	51.7663i	−0.863820	−	1.89150i
$750$	4.33348	−	30.1400i	0.158236	−	1.10056i
$751$	−21.0527	+	24.2962i	−0.768225	+	0.886579i	−0.996201	−	0.0870877i	$-0.972244\pi$
$751$	−21.0527	+	24.2962i	−0.768225	+	0.886579i	0.227975	+	0.973667i	$0.426789\pi$
$752$	1.17986	−	2.58352i	0.0430249	−	0.0942114i
$753$	−0.836551	−	0.537619i	−0.0304856	−	0.0195919i
$754$	0.198783	+	1.38257i	0.00723926	+	0.0503502i
$755$	−61.2942	+	39.3914i	−2.23072	+	1.43360i
$756$	1.92796	+	2.22499i	0.0701193	+	0.0809219i
$757$	4.35621	−	1.27910i	0.158329	−	0.0464897i	−0.201607	−	0.979466i	$-0.564616\pi$
$757$	4.35621	−	1.27910i	0.158329	−	0.0464897i	0.359937	+	0.932977i	$0.382798\pi$
$758$	21.0931			0.766137
$759$	14.8616	−	5.21331i	0.539444	−	0.189231i
$760$	−9.88257			−0.358478
$761$	−37.7141	+	11.0738i	−1.36713	+	0.401427i	−0.881272	−	0.472609i	$-0.843312\pi$
$761$	−37.7141	+	11.0738i	−1.36713	+	0.401427i	−0.485861	+	0.874036i	$0.661494\pi$
$762$	−4.03784	−	4.65992i	−0.146276	−	0.168811i
$763$	−16.0473	+	10.3130i	−0.580952	+	0.373355i
$764$	−3.36637	−	23.4136i	−0.121791	−	0.847074i
$765$	21.8904	+	14.0681i	0.791448	+	0.508632i
$766$	0.467928	−	1.02462i	0.0169069	−	0.0370210i
$767$	0.00674137	−	0.00777995i	0.000243417	−	0.000280918i
$768$	−0.142315	+	0.989821i	−0.00513534	+	0.0357171i
$769$	−1.65793	−	3.63035i	−0.0597863	−	0.130914i	0.877381	−	0.479795i	$-0.159289\pi$
$769$	−1.65793	−	3.63035i	−0.0597863	−	0.130914i	−0.937167	+	0.348881i	$0.886562\pi$
$770$	38.6041	+	11.3352i	1.39120	+	0.408492i
$771$	6.73635	+	1.97797i	0.242604	+	0.0712349i
$772$	−0.812066	−	1.77818i	−0.0292269	−	0.0639980i
$773$	−4.01135	+	27.8996i	−0.144278	+	1.00348i	0.781093	+	0.624415i	$0.214663\pi$
$773$	−4.01135	+	27.8996i	−0.144278	+	1.00348i	−0.925371	+	0.379063i	$0.876246\pi$
$774$	−0.839356	+	0.968669i	−0.0301700	+	0.0348181i
$775$	11.7003	−	25.6201i	0.420288	−	0.920302i
$776$	10.2718	+	6.60131i	0.368738	+	0.236973i
$777$	2.60101	+	18.0904i	0.0933106	+	0.648989i
$778$	−2.62419	+	1.68646i	−0.0940818	+	0.0604627i
$779$	−10.0338	−	11.5796i	−0.359497	−	0.414882i
$780$	0.561199	−	0.164783i	0.0200941	−	0.00590017i
$781$	−32.1417			−1.15012
$782$	−11.0291	+	27.8864i	−0.394398	+	0.997217i
$783$	−9.93789			−0.355151
$784$	−1.60004	+	0.469815i	−0.0571444	+	0.0167791i
$785$	7.74685	+	8.94034i	0.276497	+	0.319094i
$786$	5.42233	−	3.48472i	0.193408	−	0.124296i
$787$	2.88214	+	20.0457i	0.102737	+	0.714552i	0.974461	+	0.224555i	$0.0720929\pi$
$787$	2.88214	+	20.0457i	0.102737	+	0.714552i	−0.871724	+	0.489997i	$0.836998\pi$
$788$	1.58114	+	1.01614i	0.0563258	+	0.0361984i
$789$	−7.21674	+	15.8025i	−0.256923	+	0.562583i
$790$	26.2246	−	30.2648i	0.933031	−	1.07677i
$791$	−4.36763	+	30.3776i	−0.155295	+	1.08010i
$792$	1.36422	+	2.98723i	0.0484756	+	0.106147i
$793$	0.259200	+	0.0761081i	0.00920448	+	0.00270268i
$794$	−19.8208	−	5.81992i	−0.703415	−	0.206541i
$795$	7.52114	+	16.4690i	0.266747	+	0.584095i
$796$	2.34874	−	16.3359i	0.0832490	−	0.579010i
$797$	0.474904	−	0.548068i	0.0168220	−	0.0194136i	−0.747276	−	0.664514i	$-0.768639\pi$
$797$	0.474904	−	0.548068i	0.0168220	−	0.0194136i	0.764098	+	0.645100i	$0.223184\pi$
$798$	2.90444	−	6.35983i	0.102816	−	0.225135i
$799$	14.9403	+	9.60156i	0.528551	+	0.339679i
$800$	1.75293	+	12.1919i	0.0619753	+	0.431048i
$801$	11.0236	−	7.08444i	0.389500	−	0.250316i
$802$	−6.74731	−	7.78681i	−0.238256	−	0.274962i
$803$	17.2844	−	5.07515i	0.609952	−	0.179098i
$804$	4.33350			0.152831
$805$	−21.6093	+	54.6380i	−0.761627	+	1.92574i
$806$	0.321394			0.0113206
$807$	−29.1774	+	8.56726i	−1.02709	+	0.301582i
$808$	−0.922198	−	1.06427i	−0.0324428	−	0.0374410i
$809$	−38.3226	+	24.6284i	−1.34735	+	0.865889i	−0.997483	−	0.0709105i	$-0.977410\pi$
$809$	−38.3226	+	24.6284i	−1.34735	+	0.865889i	−0.349867	+	0.936799i	$0.613773\pi$
$810$	0.592229	+	4.11904i	0.0208088	+	0.144728i
$811$	−11.0752	−	7.11758i	−0.388902	−	0.249932i	0.331549	−	0.943438i	$-0.392429\pi$
$811$	−11.0752	−	7.11758i	−0.388902	−	0.249932i	−0.720451	+	0.693506i	$0.756065\pi$
$812$	12.1542	−	26.6139i	0.426528	−	0.933966i
$813$	3.96560	−	4.57654i	0.139080	−	0.160506i
$814$	−2.90132	+	20.1791i	−0.101691	+	0.707277i
$815$	−3.47386	−	7.60670i	−0.121684	−	0.266451i
$816$	−5.99969	−	1.76167i	−0.210031	−	0.0616707i
$817$	2.92058	+	0.857561i	0.102178	+	0.0300023i
$818$	−1.49664	−	3.27719i	−0.0523289	−	0.114584i
$819$	−0.0588891	+	0.409583i	−0.00205775	+	0.0143120i
$820$	−17.5822	+	20.2909i	−0.613997	+	0.708590i
$821$	−9.98143	+	21.8563i	−0.348354	+	0.762790i	0.651637	+	0.758531i	$0.274083\pi$
$821$	−9.98143	+	21.8563i	−0.348354	+	0.762790i	−0.999991	+	0.00425830i	$0.998645\pi$
$822$	−12.1089	−	7.78193i	−0.422347	−	0.271426i
$823$	−0.701939	−	4.88209i	−0.0244680	−	0.170179i	0.973923	−	0.226878i	$-0.0728517\pi$
$823$	−0.701939	−	4.88209i	−0.0244680	−	0.170179i	−0.998391	+	0.0566985i	$0.981943\pi$
$824$	−6.76091	+	4.34498i	−0.235528	+	0.151364i
$825$	26.4890	+	30.5699i	0.922228	+	1.06431i
$826$	−0.206897	+	0.0607505i	−0.00719888	+	0.00211378i
$827$	7.46011			0.259413			0.129707	−	0.991552i	$-0.458596\pi$
$827$	7.46011			0.259413			0.129707	+	0.991552i	$0.458596\pi$
$828$	−4.52547	+	1.58749i	−0.157271	+	0.0551690i
$829$	41.5609			1.44347			0.721735	−	0.692170i	$-0.243345\pi$
$829$	41.5609			1.44347			0.721735	+	0.692170i	$0.243345\pi$
$830$	−43.9550	+	12.9063i	−1.52570	+	0.447986i
$831$	−4.96418	−	5.72897i	−0.172206	−	0.198736i
$832$	−0.118239	+	0.0759879i	−0.00409922	+	0.00263441i
$833$	−1.48398	−	10.3213i	−0.0514167	−	0.357611i
$834$	9.20678	+	5.91684i	0.318805	+	0.204883i
$835$	−15.9518	+	34.9296i	−0.552035	+	1.20879i
$836$	5.10720	−	5.89402i	0.176636	−	0.203849i
$837$	−0.325426	+	2.26339i	−0.0112484	+	0.0782341i
$838$	−5.60684	−	12.2773i	−0.193685	−	0.424111i
$839$	39.4821	+	11.5930i	1.36307	+	0.400234i	0.879845	−	0.475261i	$-0.157646\pi$
$839$	39.4821	+	11.5930i	1.36307	+	0.400234i	0.483227	+	0.875495i	$0.339464\pi$
$840$	−11.7552	−	3.45164i	−0.405593	−	0.119093i
$841$	28.9800	+	63.4574i	0.999311	+	2.18819i
$842$	2.36917	−	16.4779i	0.0816468	−	0.567866i
$843$	10.1564	−	11.7211i	0.349805	−	0.403697i
$844$	2.48343	−	5.43795i	0.0854832	−	0.187182i
$845$	−45.4411	−	29.2032i	−1.56322	−	1.00462i
$846$	0.404200	+	2.81127i	0.0138967	+	0.0966536i
$847$	0.533345	−	0.342760i	0.0183259	−	0.0117774i
$848$	−2.84912	−	3.28806i	−0.0978393	−	0.112913i
$849$	9.04097	−	2.65467i	0.310285	−	0.0911080i
$850$	−77.0194			−2.64174
$851$	−28.9617	−	6.89802i	−0.992795	−	0.236461i
$852$	9.78735			0.335309
$853$	15.4174	−	4.52696i	0.527883	−	0.155000i	−0.00692206	−	0.999976i	$-0.502203\pi$
$853$	15.4174	−	4.52696i	0.527883	−	0.155000i	0.534805	+	0.844976i	$0.320385\pi$
$854$	−3.70558	−	4.27647i	−0.126802	−	0.146338i
$855$	8.31374	−	5.34292i	0.284324	−	0.182724i
$856$	2.75095	+	19.1333i	0.0940255	+	0.653962i
$857$	−21.8933	−	14.0700i	−0.747860	−	0.480620i	0.110367	−	0.993891i	$-0.464797\pi$
$857$	−21.8933	−	14.0700i	−0.747860	−	0.480620i	−0.858227	+	0.513270i	$0.828434\pi$
$858$	−0.191744	+	0.419860i	−0.00654602	+	0.0143338i
$859$	7.71658	−	8.90541i	0.263286	−	0.303849i	−0.608679	−	0.793417i	$-0.708300\pi$
$859$	7.71658	−	8.90541i	0.263286	−	0.303849i	0.871965	+	0.489568i	$0.162846\pi$
$860$	0.759079	−	5.27951i	0.0258844	−	0.180030i
$861$	−7.89071	−	17.2782i	−0.268915	−	0.588841i
$862$	−20.1651	−	5.92100i	−0.686825	−	0.201670i
$863$	16.9583	+	4.97942i	0.577269	+	0.169501i	0.557317	−	0.830300i	$-0.311831\pi$
$863$	16.9583	+	4.97942i	0.577269	+	0.169501i	0.0199513	+	0.999801i	$0.493649\pi$
$864$	−0.415415	−	0.909632i	−0.0141327	−	0.0309463i
$865$	−5.56485	+	38.7044i	−0.189211	+	1.31599i
$866$	−1.35783	+	1.56702i	−0.0461410	+	0.0532496i
$867$	9.18054	−	20.1026i	0.311788	−	0.682720i
$868$	−5.66341	−	3.63965i	−0.192229	−	0.123538i
$869$	4.49753	+	31.2810i	0.152568	+	1.06114i
$870$	34.7905	−	22.3585i	1.17951	−	0.758023i
$871$	0.398862	+	0.460312i	0.0135149	+	0.0155971i
$872$	6.21682	−	1.82542i	0.210528	−	0.0618166i
$873$	−12.2102			−0.413251
$874$	7.89384	+	8.20986i	0.267013	+	0.277703i
$875$	−89.6470			−3.03062
$876$	−5.26321	+	1.54542i	−0.177827	+	0.0522148i
$877$	21.1345	+	24.3905i	0.713660	+	0.823608i	0.990530	−	0.137300i	$-0.0438424\pi$
$877$	21.1345	+	24.3905i	0.713660	+	0.823608i	−0.276869	+	0.960908i	$0.589297\pi$
$878$	−1.90923	+	1.22699i	−0.0644333	+	0.0414088i
$879$	0.862021	+	5.99549i	0.0290753	+	0.202223i
$880$	−11.4966	−	7.38842i	−0.387550	−	0.249063i
$881$	−4.30308	+	9.42243i	−0.144974	+	0.317450i	−0.968164	−	0.250317i	$-0.919465\pi$
$881$	−4.30308	+	9.42243i	−0.144974	+	0.317450i	0.823189	+	0.567767i	$0.192192\pi$
$882$	1.09204	−	1.26028i	0.0367710	−	0.0424359i
$883$	−8.08407	+	56.2259i	−0.272051	+	1.89215i	0.154983	+	0.987917i	$0.450468\pi$
$883$	−8.08407	+	56.2259i	−0.272051	+	1.89215i	−0.427033	+	0.904236i	$0.640441\pi$
$884$	−0.365094	−	0.799444i	−0.0122794	−	0.0268882i
$885$	−0.292445	−	0.0858697i	−0.00983044	−	0.00288648i
$886$	25.7315	+	7.55544i	0.864465	+	0.253830i
$887$	17.4300	+	38.1665i	0.585244	+	1.28151i	0.938274	+	0.345893i	$0.112424\pi$
$887$	17.4300	+	38.1665i	0.585244	+	1.28151i	−0.353030	+	0.935612i	$0.614849\pi$
$888$	0.883471	−	6.14467i	0.0296473	−	0.206202i
$889$	−11.8877	+	13.7192i	−0.398701	+	0.460126i
$890$	−22.6526	+	49.6023i	−0.759317	+	1.66267i
$891$	−2.76268	−	1.77546i	−0.0925532	−	0.0594803i
$892$	2.86327	+	19.9145i	0.0958694	+	0.666786i
$893$	5.67419	−	3.64658i	0.189879	−	0.122028i
$894$	2.64960	+	3.05780i	0.0886158	+	0.102268i
$895$	81.5590	−	23.9479i	2.72622	−	0.800489i
$896$	2.94408			0.0983547
$897$	−0.585157	−	0.334588i	−0.0195378	−	0.0111716i
$898$	−4.56941			−0.152483
$899$	21.8041	−	6.40226i	0.727207	−	0.213527i
$900$	−8.06608	−	9.30875i	−0.268869	−	0.310292i
$901$	22.8863	−	14.7081i	0.762453	−	0.489999i
$902$	−3.01535	−	20.9722i	−0.100400	−	0.698299i
$903$	3.17449	+	2.04012i	0.105640	+	0.0678909i
$904$	4.33041	−	9.48227i	0.144027	−	0.315376i
$905$	−40.6954	+	46.9650i	−1.35276	+	1.56117i
$906$	−2.49174	+	17.3304i	−0.0827826	+	0.575765i
$907$	−8.68682	−	19.0215i	−0.288441	−	0.631598i	0.708834	−	0.705376i	$-0.249222\pi$
$907$	−8.68682	−	19.0215i	−0.288441	−	0.631598i	−0.997275	+	0.0737778i	$0.976494\pi$
$908$	−12.5251	−	3.67771i	−0.415661	−	0.122049i
$909$	1.35119	+	0.396746i	0.0448162	+	0.0131592i
$910$	−0.715330	−	1.56635i	−0.0237129	−	0.0519241i
$911$	0.338973	−	2.35761i	0.0112307	−	0.0781112i	−0.983435	−	0.181260i	$-0.941983\pi$
$911$	0.338973	−	2.35761i	0.0112307	−	0.0781112i	0.994666	+	0.103148i	$0.0328917\pi$
$912$	−1.55518	+	1.79477i	−0.0514970	+	0.0594307i
$913$	15.0180	−	32.8848i	0.497023	−	1.08833i
$914$	22.5577	+	14.4970i	0.746144	+	0.479518i
$915$	−1.13828	−	7.91689i	−0.0376303	−	0.261724i
$916$	14.9735	−	9.62285i	0.494737	−	0.317948i
$917$	−12.4267	−	14.3412i	−0.410367	−	0.473589i
$918$	5.99969	−	1.76167i	0.198019	−	0.0581437i
$919$	33.7332			1.11275			0.556377	−	0.830930i	$-0.312191\pi$
$919$	33.7332			1.11275			0.556377	+	0.830930i	$0.312191\pi$
$920$	12.2712	−	15.7390i	0.404568	−	0.518898i
$921$	−21.2457			−0.700068
$922$	−1.28244	+	0.376558i	−0.0422348	+	0.0124013i
$923$	0.900844	+	1.03963i	0.0296516	+	0.0342198i
$924$	8.13353	−	5.22711i	0.267574	−	0.171959i
$925$	−10.8819	−	75.6854i	−0.357795	−	2.48852i
$926$	30.5124	+	19.6091i	1.00270	+	0.644396i
$927$	3.33857	−	7.31045i	0.109653	−	0.240107i
$928$	−6.50793	+	7.51056i	−0.213633	+	0.246546i
$929$	−0.787770	+	5.47906i	−0.0258459	+	0.179762i	−0.998655	−	0.0518458i	$-0.983490\pi$
$929$	−0.787770	+	5.47906i	−0.0258459	+	0.179762i	0.972809	+	0.231608i	$0.0743986\pi$
$930$	−3.95297	−	8.65580i	−0.129623	−	0.283835i
$931$	−3.79982	−	1.11573i	−0.124534	−	0.0365665i
$932$	−9.40137	−	2.76049i	−0.307952	−	0.0904229i
$933$	3.68707	+	8.07355i	0.120709	+	0.264316i
$934$	−1.89623	+	13.1886i	−0.0620465	+	0.431543i
$935$	55.9600	−	64.5813i	1.83009	−	2.11204i
$936$	0.0583872	−	0.127850i	0.00190845	−	0.00417891i
$937$	−19.7333	−	12.6818i	−0.644660	−	0.414298i	0.177052	−	0.984202i	$-0.443344\pi$
$937$	−19.7333	−	12.6818i	−0.644660	−	0.414298i	−0.821711	+	0.569904i	$0.806980\pi$
$938$	−1.81567	−	12.6283i	−0.0592839	−	0.412329i
$939$	9.14962	−	5.88010i	0.298587	−	0.191890i
$940$	−7.73989	−	8.93231i	−0.252447	−	0.291340i
$941$	−13.4047	+	3.93597i	−0.436980	+	0.128309i	−0.492821	−	0.870131i	$-0.664034\pi$
$941$	−13.4047	+	3.93597i	−0.436980	+	0.128309i	0.0558410	+	0.998440i	$0.482216\pi$
$942$	2.84274			0.0926214
$943$	30.9005	−	1.60142i	1.00626	−	0.0521493i
$944$	0.0732426			0.00238384
$945$	11.7552	−	3.45164i	0.382397	−	0.112282i
$946$	2.75645	+	3.18111i	0.0896198	+	0.103427i
$947$	41.3656	−	26.5841i	1.34420	−	0.863866i	0.346945	−	0.937886i	$-0.387219\pi$
$947$	41.3656	−	26.5841i	1.34420	−	0.863866i	0.997257	+	0.0740197i	$0.0235828\pi$
$948$	−1.36953	−	9.52529i	−0.0444802	−	0.309367i
$949$	−0.648591	−	0.416824i	−0.0210542	−	0.0135307i
$950$	−12.1514	+	26.6078i	−0.394243	+	0.863272i
$951$	21.4902	−	24.8010i	0.696867	−	0.804227i
$952$	−2.61991	+	18.2219i	−0.0849117	+	0.590574i
$953$	−3.58850	−	7.85773i	−0.116243	−	0.254537i	0.842563	−	0.538597i	$-0.181046\pi$
$953$	−3.58850	−	7.85773i	−0.116243	−	0.254537i	−0.958806	+	0.284061i	$0.908318\pi$
$954$	4.17450	+	1.22574i	0.135154	+	0.0396849i
$955$	−94.4479	−	27.7324i	−3.05626	−	0.897400i
$956$	1.24443	+	2.72493i	0.0402479	+	0.0881305i
$957$	−4.64459	+	32.3038i	−0.150138	+	1.04423i
$958$	17.3899	−	20.0690i	0.561842	−	0.648400i
$959$	−17.6039	+	38.5473i	−0.568461	+	1.24476i
$960$	3.50079	+	2.24982i	0.112988	+	0.0726127i
$961$	3.66762	+	25.5089i	0.118310	+	0.822866i
$962$	0.734014	−	0.471722i	0.0236656	−	0.0152089i
$963$	−12.6585	−	14.6087i	−0.407914	−	0.470757i
$964$	19.6038	−	5.75619i	0.631396	−	0.185394i
$965$	−8.13483			−0.261869
$966$	6.52222	+	12.5226i	0.209849	+	0.402908i
$967$	−36.8290			−1.18434			−0.592170	−	0.805813i	$-0.701728\pi$
$967$	−36.8290			−1.18434			−0.592170	+	0.805813i	$0.701728\pi$
$968$	−0.206621	+	0.0606693i	−0.00664104	+	0.00194998i
$969$	−9.72447	−	11.2226i	−0.312395	−	0.360523i
$970$	42.7452	−	27.4707i	1.37247	−	0.882031i
$971$	2.98567	+	20.7658i	0.0958148	+	0.666407i	0.979960	+	0.199194i	$0.0638325\pi$
$971$	2.98567	+	20.7658i	0.0958148	+	0.666407i	−0.884145	+	0.467212i	$0.845258\pi$
$972$	0.841254	+	0.540641i	0.0269832	+	0.0173411i
$973$	13.3848	−	29.3086i	0.429097	−	0.939592i
$974$	−8.55694	+	9.87523i	−0.274182	+	0.316423i
$975$	0.246376	−	1.71358i	0.00789036	−	0.0548786i
$976$	0.798437	+	1.74833i	0.0255573	+	0.0559628i
$977$	−6.42291	−	1.88594i	−0.205487	−	0.0603364i	0.177369	−	0.984144i	$-0.443241\pi$
$977$	−6.42291	−	1.88594i	−0.205487	−	0.0603364i	−0.382856	+	0.923808i	$0.625060\pi$
$978$	−1.92812	−	0.566146i	−0.0616544	−	0.0181034i
$979$	−17.8765	−	39.1440i	−0.571335	−	1.25105i
$980$	−0.987597	+	6.86889i	−0.0315476	+	0.219419i
$981$	−4.24302	+	4.89671i	−0.135469	+	0.156340i
$982$	13.9606	−	30.5694i	0.445499	−	0.975507i
$983$	4.16508	+	2.67673i	0.132845	+	0.0853745i	0.605376	−	0.795940i	$-0.293023\pi$
$983$	4.16508	+	2.67673i	0.132845	+	0.0853745i	−0.472530	+	0.881314i	$0.656659\pi$
$984$	0.918195	+	6.38618i	0.0292710	+	0.203584i
$985$	6.57975	−	4.22855i	0.209648	−	0.134733i
$986$	−40.6939	−	46.9633i	−1.29596	−	1.49562i
$987$	8.02301	−	2.35577i	0.255375	−	0.0749850i
$988$	−0.333784			−0.0106191
$989$	−4.99223	+	3.58649i	−0.158744	+	0.114044i
$990$	13.6660			0.434335
$991$	19.9464	−	5.85680i	0.633619	−	0.186047i	0.0508777	−	0.998705i	$-0.483798\pi$
$991$	19.9464	−	5.85680i	0.633619	−	0.186047i	0.582742	+	0.812657i	$0.301980\pi$
$992$	1.49745	+	1.72814i	0.0475439	+	0.0548686i
$993$	−14.8170	+	9.52233i	−0.470204	+	0.302182i
$994$	−4.10076	−	28.5214i	−0.130068	−	0.904645i
$995$	−57.7766	−	37.1307i	−1.83164	−	1.17712i
$996$	−4.57308	+	10.0137i	−0.144904	+	0.317295i
$997$	23.0796	−	26.6352i	0.730937	−	0.843546i	−0.261640	−	0.965166i	$-0.584263\pi$
$997$	23.0796	−	26.6352i	0.730937	−	0.843546i	0.992577	+	0.121619i	$0.0388087\pi$
$998$	3.44634	−	23.9698i	0.109092	−	0.758750i
$999$	2.57884	+	5.64687i	0.0815908	+	0.178659i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	138.2.e.c.55.1	✓	10
3.2	odd	2		414.2.i.b.55.1		10
23.8	even	11		3174.2.a.z.1.4		5
23.15	odd	22		3174.2.a.y.1.2		5
23.18	even	11	inner	138.2.e.c.133.1	yes	10
69.8	odd	22		9522.2.a.bv.1.2		5
69.38	even	22		9522.2.a.ca.1.4		5
69.41	odd	22		414.2.i.b.271.1		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
138.2.e.c.55.1	✓	10	1.1	even	1	trivial
138.2.e.c.133.1	yes	10	23.18	even	11	inner
414.2.i.b.55.1		10	3.2	odd	2
414.2.i.b.271.1		10	69.41	odd	22
3174.2.a.y.1.2		5	23.15	odd	22
3174.2.a.z.1.4		5	23.8	even	11
9522.2.a.bv.1.2		5	69.8	odd	22
9522.2.a.ca.1.4		5	69.38	even	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:	\( N \)	\(=\)	\( 138 = 2 \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	138.e (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.959493 - 0.281733i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.592229 - 4.11904i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-1.22301 + 2.67803i) q^{7} +(0.654861 - 0.755750i) q^{8} +(-0.142315 + 0.989821i) q^{9} +O(q^{10})\)	\(q+(0.959493 - 0.281733i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.592229 - 4.11904i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-1.22301 + 2.67803i) q^{7} +(0.654861 - 0.755750i) q^{8} +(-0.142315 + 0.989821i) q^{9} +(-1.72871 - 3.78534i) q^{10} +(3.15098 + 0.925210i) q^{11} +(-0.959493 - 0.281733i) q^{12} +(-0.0583872 - 0.127850i) q^{13} +(-0.418986 + 2.91411i) q^{14} +(-2.72514 + 3.14498i) q^{15} +(0.415415 - 0.909632i) q^{16} +(5.26034 + 3.38061i) q^{17} +(0.142315 + 0.989821i) q^{18} +(1.99782 - 1.28392i) q^{19} +(-2.72514 - 3.14498i) q^{20} +(2.82482 - 0.829443i) q^{21} +3.28400 q^{22} +(-0.435919 + 4.77598i) q^{23} -1.00000 q^{24} +(-11.8183 + 3.47017i) q^{25} +(-0.0920417 - 0.106222i) q^{26} +(0.841254 - 0.540641i) q^{27} +(0.418986 + 2.91411i) q^{28} +(-8.36028 - 5.37283i) q^{29} +(-1.72871 + 3.78534i) q^{30} +(-1.49745 + 1.72814i) q^{31} +(0.142315 - 0.989821i) q^{32} +(-1.36422 - 2.98723i) q^{33} +(5.99969 + 1.76167i) q^{34} +(11.7552 + 3.45164i) q^{35} +(0.415415 + 0.909632i) q^{36} +(-0.883471 + 6.14467i) q^{37} +(1.55518 - 1.79477i) q^{38} +(-0.0583872 + 0.127850i) q^{39} +(-3.50079 - 2.24982i) q^{40} +(-0.918195 - 6.38618i) q^{41} +(2.47672 - 1.59169i) q^{42} +(0.839356 + 0.968669i) q^{43} +(3.15098 - 0.925210i) q^{44} +4.16140 q^{45} +(0.927287 + 4.70533i) q^{46} +2.84018 q^{47} +(-0.959493 + 0.281733i) q^{48} +(-1.09204 - 1.26028i) q^{49} +(-10.3619 + 6.65920i) q^{50} +(-0.889891 - 6.18933i) q^{51} +(-0.118239 - 0.0759879i) q^{52} +(1.80736 - 3.95756i) q^{53} +(0.654861 - 0.755750i) q^{54} +(1.94488 - 13.5269i) q^{55} +(1.22301 + 2.67803i) q^{56} +(-2.27862 - 0.669064i) q^{57} +(-9.53533 - 2.79983i) q^{58} +(0.0304261 + 0.0666238i) q^{59} +(-0.592229 + 4.11904i) q^{60} +(-1.25866 + 1.45257i) q^{61} +(-0.949914 + 2.08002i) q^{62} +(-2.47672 - 1.59169i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(-0.492041 + 0.316216i) q^{65} +(-2.15056 - 2.48188i) q^{66} +(-4.15796 + 1.22089i) q^{67} +6.25297 q^{68} +(3.89491 - 2.79816i) q^{69} +12.2515 q^{70} +(-9.39090 + 2.75742i) q^{71} +(0.654861 + 0.755750i) q^{72} +(4.61462 - 2.96563i) q^{73} +(0.883471 + 6.14467i) q^{74} +(10.3619 + 6.65920i) q^{75} +(0.986535 - 2.16021i) q^{76} +(-6.33142 + 7.30685i) q^{77} +(-0.0200026 + 0.139121i) q^{78} +(3.99764 + 8.75360i) q^{79} +(-3.99283 - 1.17240i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-2.68020 - 5.86881i) q^{82} +(1.56667 - 10.8964i) q^{83} +(1.92796 - 2.22499i) q^{84} +(10.8096 - 23.6696i) q^{85} +(1.07826 + 0.692957i) q^{86} +(1.41431 + 9.83674i) q^{87} +(2.76268 - 1.77546i) q^{88} +(-8.58116 - 9.90318i) q^{89} +(3.99283 - 1.17240i) q^{90} +0.413795 q^{91} +(2.21537 + 4.25348i) q^{92} +2.28666 q^{93} +(2.72514 - 0.800172i) q^{94} +(-6.47170 - 7.46874i) q^{95} +(-0.841254 + 0.540641i) q^{96} +(1.73769 + 12.0859i) q^{97} +(-1.40287 - 0.901569i) q^{98} +(-1.36422 + 2.98723i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + q^{2} - q^{3} - q^{4} + q^{6} - 2 q^{7} + q^{8} - q^{9}+O(q^{10}) \) 10 * q + q^2 - q^3 - q^4 + q^6 - 2 * q^7 + q^8 - q^9	\( 10 q + q^{2} - q^{3} - q^{4} + q^{6} - 2 q^{7} + q^{8} - q^{9} + 11 q^{10} + 11 q^{11} - q^{12} - 13 q^{13} + 13 q^{14} - 11 q^{15} - q^{16} + q^{18} - 2 q^{19} - 11 q^{20} + 9 q^{21} - 22 q^{22} - 10 q^{23} - 10 q^{24} + 5 q^{25} - 9 q^{26} - q^{27} - 13 q^{28} - 27 q^{29} + 11 q^{30} - 18 q^{31} + q^{32} + 33 q^{34} + 44 q^{35} - q^{36} - q^{37} + 13 q^{38} - 13 q^{39} - 11 q^{40} - 16 q^{41} + 2 q^{42} + 20 q^{43} + 11 q^{44} + 22 q^{45} - q^{46} - q^{48} - 19 q^{49} - 27 q^{50} - 11 q^{51} - 2 q^{52} - q^{53} + q^{54} + 33 q^{55} + 2 q^{56} - 13 q^{57} - 17 q^{58} - q^{59} - 34 q^{61} - 4 q^{62} - 2 q^{63} - q^{64} + 11 q^{65} + 8 q^{67} + 22 q^{68} + 23 q^{69} + 22 q^{70} - 22 q^{71} + q^{72} + 31 q^{73} + q^{74} + 27 q^{75} - 2 q^{76} + 22 q^{77} + 2 q^{78} + 32 q^{79} - q^{81} - 28 q^{82} + 33 q^{83} + 9 q^{84} - 11 q^{85} - 20 q^{86} + 6 q^{87} + 22 q^{88} - 23 q^{89} + 18 q^{91} + 23 q^{92} + 4 q^{93} + 11 q^{94} - 22 q^{95} + q^{96} - q^{97} - 14 q^{98}+O(q^{100}) \) 10 * q + q^2 - q^3 - q^4 + q^6 - 2 * q^7 + q^8 - q^9 + 11 * q^10 + 11 * q^11 - q^12 - 13 * q^13 + 13 * q^14 - 11 * q^15 - q^16 + q^18 - 2 * q^19 - 11 * q^20 + 9 * q^21 - 22 * q^22 - 10 * q^23 - 10 * q^24 + 5 * q^25 - 9 * q^26 - q^27 - 13 * q^28 - 27 * q^29 + 11 * q^30 - 18 * q^31 + q^32 + 33 * q^34 + 44 * q^35 - q^36 - q^37 + 13 * q^38 - 13 * q^39 - 11 * q^40 - 16 * q^41 + 2 * q^42 + 20 * q^43 + 11 * q^44 + 22 * q^45 - q^46 - q^48 - 19 * q^49 - 27 * q^50 - 11 * q^51 - 2 * q^52 - q^53 + q^54 + 33 * q^55 + 2 * q^56 - 13 * q^57 - 17 * q^58 - q^59 - 34 * q^61 - 4 * q^62 - 2 * q^63 - q^64 + 11 * q^65 + 8 * q^67 + 22 * q^68 + 23 * q^69 + 22 * q^70 - 22 * q^71 + q^72 + 31 * q^73 + q^74 + 27 * q^75 - 2 * q^76 + 22 * q^77 + 2 * q^78 + 32 * q^79 - q^81 - 28 * q^82 + 33 * q^83 + 9 * q^84 - 11 * q^85 - 20 * q^86 + 6 * q^87 + 22 * q^88 - 23 * q^89 + 18 * q^91 + 23 * q^92 + 4 * q^93 + 11 * q^94 - 22 * q^95 + q^96 - q^97 - 14 * q^98

Introduction

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