LMFDB - Embedded newform 192.2.s.a.11.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			11.7
Character	$\chi$	$=$	192.11
Dual form			192.2.s.a.35.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.13891 + 0.838376i) q^{2} +(-1.71622 + 0.233636i) q^{3} +(0.594252 - 1.90968i) q^{4} +(1.07447 - 0.717940i) q^{5} +(1.75875 - 1.70493i) q^{6} +(-0.999337 + 2.41261i) q^{7} +(0.924224 + 2.67316i) q^{8} +(2.89083 - 0.801943i) q^{9} +O(q^{10})$	\(q+(-1.13891 + 0.838376i) q^{2} +(-1.71622 + 0.233636i) q^{3} +(0.594252 - 1.90968i) q^{4} +(1.07447 - 0.717940i) q^{5} +(1.75875 - 1.70493i) q^{6} +(-0.999337 + 2.41261i) q^{7} +(0.924224 + 2.67316i) q^{8} +(2.89083 - 0.801943i) q^{9} +(-0.621830 + 1.71848i) q^{10} +(-0.399255 + 2.00719i) q^{11} +(-0.573699 + 3.41627i) q^{12} +(-2.49327 + 3.73144i) q^{13} +(-0.884517 - 3.58558i) q^{14} +(-1.67630 + 1.48318i) q^{15} +(-3.29373 - 2.26966i) q^{16} +(0.807989 + 0.807989i) q^{17} +(-2.62008 + 3.33694i) q^{18} +(-2.27722 + 3.40810i) q^{19} +(-0.732525 - 2.47853i) q^{20} +(1.15141 - 4.37406i) q^{21} +(-1.22806 - 2.62075i) q^{22} +(1.03964 + 2.50991i) q^{23} +(-2.21072 - 4.37181i) q^{24} +(-1.27436 + 3.07658i) q^{25} +(-0.288729 - 6.34009i) q^{26} +(-4.77394 + 2.05171i) q^{27} +(4.01345 + 3.34211i) q^{28} +(-1.16690 + 0.232112i) q^{29} +(0.665697 - 3.09458i) q^{30} +8.84263 q^{31} +(5.65410 - 0.176433i) q^{32} +(0.216258 - 3.53806i) q^{33} +(-1.59763 - 0.242832i) q^{34} +(0.658351 + 3.30975i) q^{35} +(0.186431 - 5.99710i) q^{36} +(-0.0510541 + 0.0341133i) q^{37} +(-0.263710 - 5.79070i) q^{38} +(3.40720 - 6.98649i) q^{39} +(2.91223 + 2.20871i) q^{40} +(6.88882 - 2.85344i) q^{41} +(2.35575 + 5.94699i) q^{42} +(1.67494 - 8.42048i) q^{43} +(3.59583 + 1.95523i) q^{44} +(2.53037 - 2.93711i) q^{45} +(-3.28831 - 1.98696i) q^{46} +(-7.28117 + 7.28117i) q^{47} +(6.18304 + 3.12570i) q^{48} +(0.127721 + 0.127721i) q^{49} +(-1.12794 - 4.57236i) q^{50} +(-1.57546 - 1.19791i) q^{51} +(5.64421 + 6.97876i) q^{52} +(5.98340 + 1.19017i) q^{53} +(3.71700 - 6.33908i) q^{54} +(1.01205 + 2.44332i) q^{55} +(-7.37292 - 0.441599i) q^{56} +(3.11196 - 6.38109i) q^{57} +(1.13441 - 1.24266i) q^{58} +(-7.31886 - 10.9534i) q^{59} +(1.83625 + 4.08257i) q^{60} +(-13.9509 + 2.77501i) q^{61} +(-10.0710 + 7.41345i) q^{62} +(-0.954134 + 7.77586i) q^{63} +(-6.29162 + 4.94120i) q^{64} +5.79935i q^{65} +(2.71993 + 4.21086i) q^{66} +(-1.86537 - 9.37786i) q^{67} +(2.02315 - 1.06285i) q^{68} +(-2.37065 - 4.06466i) q^{69} +(-3.52462 - 3.21758i) q^{70} +(1.02734 + 0.425537i) q^{71} +(4.81550 + 6.98649i) q^{72} +(7.19100 - 2.97861i) q^{73} +(0.0295465 - 0.0816546i) q^{74} +(1.46829 - 5.57783i) q^{75} +(5.15512 + 6.37402i) q^{76} +(-4.44359 - 2.96911i) q^{77} +(1.97680 + 10.8135i) q^{78} +(3.63279 - 3.63279i) q^{79} +(-5.16850 - 0.0739894i) q^{80} +(7.71378 - 4.63656i) q^{81} +(-5.45352 + 9.02525i) q^{82} +(11.3823 + 7.60544i) q^{83} +(-7.66881 - 4.79811i) q^{84} +(1.44825 + 0.288075i) q^{85} +(5.15192 + 10.9944i) q^{86} +(1.94844 - 0.670986i) q^{87} +(-5.73456 + 0.787819i) q^{88} +(-15.6065 - 6.46444i) q^{89} +(-0.419477 + 5.46652i) q^{90} +(-6.51091 - 9.74426i) q^{91} +(5.41092 - 0.493853i) q^{92} +(-15.1759 + 2.06596i) q^{93} +(2.18827 - 14.3970i) q^{94} +5.29682i q^{95} +(-9.66247 + 1.62380i) q^{96} -4.82681i q^{97} +(-0.252542 - 0.0383852i) q^{98} +(0.455474 + 6.12263i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{16}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.13891	+	0.838376i	−0.805334	+	0.592821i
$2$	−1.13891	+	0.838376i	−0.805334	+	0.592821i
$3$	−1.71622	+	0.233636i	−0.990861	+	0.134890i
$3$	−1.71622	+	0.233636i	−0.990861	+	0.134890i
$4$	0.594252	−	1.90968i	0.297126	−	0.954838i
$5$	1.07447	−	0.717940i	0.480519	−	0.321073i	−0.291611	−	0.956537i	$-0.594191\pi$
$5$	1.07447	−	0.717940i	0.480519	−	0.321073i	0.772130	+	0.635464i	$0.219191\pi$
$6$	1.75875	−	1.70493i	0.718008	−	0.696035i
$7$	−0.999337	+	2.41261i	−0.377714	+	0.911882i	0.614680	+	0.788777i	$0.289285\pi$
$7$	−0.999337	+	2.41261i	−0.377714	+	0.911882i	−0.992394	+	0.123105i	$0.960715\pi$
$8$	0.924224	+	2.67316i	0.326762	+	0.945107i
$9$	2.89083	−	0.801943i	0.963609	−	0.267314i
$10$	−0.621830	+	1.71848i	−0.196640	+	0.543433i
$11$	−0.399255	+	2.00719i	−0.120380	+	0.605191i	0.872749	+	0.488169i	$0.162335\pi$
$11$	−0.399255	+	2.00719i	−0.120380	+	0.605191i	−0.993129	+	0.117022i	$0.962665\pi$
$12$	−0.573699	+	3.41627i	−0.165613	+	0.986191i
$13$	−2.49327	+	3.73144i	−0.691508	+	1.03492i	0.305075	+	0.952328i	$0.401318\pi$
$13$	−2.49327	+	3.73144i	−0.691508	+	1.03492i	−0.996584	+	0.0825873i	$0.973682\pi$
$14$	−0.884517	−	3.58558i	−0.236397	−	0.958286i
$15$	−1.67630	+	1.48318i	−0.432818	+	0.382955i
$16$	−3.29373	−	2.26966i	−0.823432	−	0.567415i
$17$	0.807989	+	0.807989i	0.195966	+	0.195966i	0.798268	−	0.602302i	$-0.205750\pi$
$17$	0.807989	+	0.807989i	0.195966	+	0.195966i	−0.602302	+	0.798268i	$0.705750\pi$
$18$	−2.62008	+	3.33694i	−0.617558	+	0.786525i
$19$	−2.27722	+	3.40810i	−0.522430	+	0.781872i	−0.995048	−	0.0993956i	$-0.968309\pi$
$19$	−2.27722	+	3.40810i	−0.522430	+	0.781872i	0.472618	+	0.881267i	$0.343309\pi$
$20$	−0.732525	−	2.47853i	−0.163798	−	0.554217i
$21$	1.15141	−	4.37406i	0.251258	−	0.954498i
$22$	−1.22806	−	2.62075i	−0.261824	−	0.558745i
$23$	1.03964	+	2.50991i	0.216780	+	0.523352i	0.994437	−	0.105337i	$-0.0335920\pi$
$23$	1.03964	+	2.50991i	0.216780	+	0.523352i	−0.777657	+	0.628689i	$0.783592\pi$
$24$	−2.21072	−	4.37181i	−0.451261	−	0.892392i
$25$	−1.27436	+	3.07658i	−0.254872	+	0.615316i
$26$	−0.288729	−	6.34009i	−0.0566244	−	1.24339i
$27$	−4.77394	+	2.05171i	−0.918745	+	0.394852i
$28$	4.01345	+	3.34211i	0.758471	+	0.631600i
$29$	−1.16690	+	0.232112i	−0.216689	+	0.0431021i	−0.302241	−	0.953232i	$-0.597735\pi$
$29$	−1.16690	+	0.232112i	−0.216689	+	0.0431021i	0.0855520	+	0.996334i	$0.472735\pi$
$30$	0.665697	−	3.09458i	0.121539	−	0.564991i
$31$	8.84263			1.58818			0.794092	−	0.607798i	$-0.207947\pi$
$31$	8.84263			1.58818			0.794092	+	0.607798i	$0.207947\pi$
$32$	5.65410	−	0.176433i	0.999513	−	0.0311892i
$33$	0.216258	−	3.53806i	0.0376456	−	0.615898i
$34$	−1.59763	−	0.242832i	−0.273991	−	0.0416454i
$35$	0.658351	+	3.30975i	0.111282	+	0.559450i
$36$	0.186431	−	5.99710i	0.0310718	−	0.999517i
$37$	−0.0510541	+	0.0341133i	−0.00839324	+	0.00560818i	−0.559760	−	0.828655i	$-0.689107\pi$
$37$	−0.0510541	+	0.0341133i	−0.00839324	+	0.00560818i	0.551367	+	0.834263i	$0.314107\pi$
$38$	−0.263710	−	5.79070i	−0.0427794	−	0.939376i
$39$	3.40720	−	6.98649i	0.545589	−	1.11873i
$40$	2.91223	+	2.20871i	0.460463	+	0.349227i
$41$	6.88882	−	2.85344i	1.07585	−	0.445633i	0.226800	−	0.973941i	$-0.427174\pi$
$41$	6.88882	−	2.85344i	1.07585	−	0.445633i	0.849053	+	0.528308i	$0.177174\pi$
$42$	2.35575	+	5.94699i	0.363500	+	0.917641i
$43$	1.67494	−	8.42048i	0.255426	−	1.28411i	−0.613707	−	0.789534i	$-0.710323\pi$
$43$	1.67494	−	8.42048i	0.255426	−	1.28411i	0.869133	−	0.494578i	$-0.164677\pi$
$44$	3.59583	+	1.95523i	0.542091	+	0.294762i
$45$	2.53037	−	2.93711i	0.377206	−	0.437838i
$46$	−3.28831	−	1.98696i	−0.484834	−	0.292962i
$47$	−7.28117	+	7.28117i	−1.06207	+	1.06207i	−0.0641259	+	0.997942i	$0.520426\pi$
$47$	−7.28117	+	7.28117i	−1.06207	+	1.06207i	−0.997942	+	0.0641259i	$0.979574\pi$
$48$	6.18304	+	3.12570i	0.892445	+	0.451156i
$49$	0.127721	+	0.127721i	0.0182459	+	0.0182459i
$50$	−1.12794	−	4.57236i	−0.159515	−	0.646629i
$51$	−1.57546	−	1.19791i	−0.220609	−	0.167741i
$52$	5.64421	+	6.97876i	0.782712	+	0.967779i
$53$	5.98340	+	1.19017i	0.821884	+	0.163483i	0.588082	−	0.808801i	$-0.299883\pi$
$53$	5.98340	+	1.19017i	0.821884	+	0.163483i	0.233802	+	0.972284i	$0.424883\pi$
$54$	3.71700	−	6.33908i	0.505820	−	0.862639i
$55$	1.01205	+	2.44332i	0.136465	+	0.329457i
$56$	−7.37292	−	0.441599i	−0.985248	−	0.0590112i
$57$	3.11196	−	6.38109i	0.412189	−	0.845196i
$58$	1.13441	−	1.24266i	0.148955	−	0.163169i
$59$	−7.31886	−	10.9534i	−0.952834	−	1.42602i	−0.904156	−	0.427202i	$-0.859499\pi$
$59$	−7.31886	−	10.9534i	−0.952834	−	1.42602i	−0.0486778	−	0.998815i	$-0.515501\pi$
$60$	1.83625	+	4.08257i	0.237059	+	0.527057i
$61$	−13.9509	+	2.77501i	−1.78623	+	0.355303i	−0.973738	−	0.227670i	$-0.926889\pi$
$61$	−13.9509	+	2.77501i	−1.78623	+	0.355303i	−0.812492	+	0.582973i	$0.801889\pi$
$62$	−10.0710	+	7.41345i	−1.27902	+	0.941509i
$63$	−0.954134	+	7.77586i	−0.120210	+	0.979666i
$64$	−6.29162	+	4.94120i	−0.786453	+	0.617650i
$65$			5.79935i			0.719321i
$66$	2.71993	+	4.21086i	0.334800	+	0.518321i
$67$	−1.86537	−	9.37786i	−0.227891	−	1.14569i	−0.910055	−	0.414488i	$-0.863961\pi$
$67$	−1.86537	−	9.37786i	−0.227891	−	1.14569i	0.682163	−	0.731200i	$-0.261039\pi$
$68$	2.02315	−	1.06285i	0.245343	−	0.128889i
$69$	−2.37065	−	4.06466i	−0.285393	−	0.489328i
$70$	−3.52462	−	3.21758i	−0.421273	−	0.384574i
$71$	1.02734	+	0.425537i	0.121922	+	0.0505019i	0.442811	−	0.896615i	$-0.353981\pi$
$71$	1.02734	+	0.425537i	0.121922	+	0.0505019i	−0.320888	+	0.947117i	$0.603981\pi$
$72$	4.81550	+	6.98649i	0.567512	+	0.823365i
$73$	7.19100	−	2.97861i	0.841643	−	0.348620i	0.0801420	−	0.996783i	$-0.474463\pi$
$73$	7.19100	−	2.97861i	0.841643	−	0.348620i	0.761501	+	0.648163i	$0.224463\pi$
$74$	0.0295465	−	0.0816546i	0.00343471	−	0.00949215i
$75$	1.46829	−	5.57783i	0.169543	−	0.644073i
$76$	5.15512	+	6.37402i	0.591333	+	0.731151i
$77$	−4.44359	−	2.96911i	−0.506394	−	0.338361i
$78$	1.97680	+	10.8135i	0.223828	+	1.22439i
$79$	3.63279	−	3.63279i	0.408721	−	0.408721i	−0.472572	−	0.881292i	$-0.656674\pi$
$79$	3.63279	−	3.63279i	0.408721	−	0.408721i	0.881292	+	0.472572i	$0.156674\pi$
$80$	−5.16850	−	0.0739894i	−0.577856	−	0.00827227i
$81$	7.71378	−	4.63656i	0.857086	−	0.515173i
$82$	−5.45352	+	9.02525i	−0.602240	+	0.996672i
$83$	11.3823	+	7.60544i	1.24937	+	0.834805i	0.991339	−	0.131330i	$-0.0419249\pi$
$83$	11.3823	+	7.60544i	1.24937	+	0.834805i	0.258035	+	0.966135i	$0.416925\pi$
$84$	−7.66881	−	4.79811i	−0.836735	−	0.523517i
$85$	1.44825	+	0.288075i	0.157085	+	0.0312461i
$86$	5.15192	+	10.9944i	0.555546	+	1.18556i
$87$	1.94844	−	0.670986i	0.208894	−	0.0719373i
$88$	−5.73456	+	0.787819i	−0.611306	+	0.0839817i
$89$	−15.6065	−	6.46444i	−1.65429	−	0.685229i	−0.656669	−	0.754179i	$-0.728035\pi$
$89$	−15.6065	−	6.46444i	−1.65429	−	0.685229i	−0.997620	+	0.0689504i	$0.978035\pi$
$90$	−0.419477	+	5.46652i	−0.0442167	+	0.576221i
$91$	−6.51091	−	9.74426i	−0.682528	−	1.02148i
$92$	5.41092	−	0.493853i	0.564128	−	0.0514878i
$93$	−15.1759	+	2.06596i	−1.57367	+	0.214230i
$94$	2.18827	−	14.3970i	0.225703	−	1.48494i
$95$			5.29682i			0.543442i
$96$	−9.66247	+	1.62380i	−0.986171	+	0.165728i
$97$		−	4.82681i		−	0.490088i	−0.969512	−	0.245044i	$-0.921198\pi$
$97$		−	4.82681i		−	0.490088i	0.969512	−	0.245044i	$-0.0788025\pi$
$98$	−0.252542	−	0.0383852i	−0.0255106	−	0.00387749i
$99$	0.455474	+	6.12263i	0.0457769	+	0.615347i
$100$	5.11798	+	4.26189i	0.511798	+	0.426189i
$101$	10.5993	+	15.8630i	1.05467	+	1.57842i	0.789033	+	0.614350i	$0.210582\pi$
$101$	10.5993	+	15.8630i	1.05467	+	1.57842i	0.265636	+	0.964074i	$0.414418\pi$
$102$	2.79862	+	0.0434896i	0.277105	+	0.00430611i
$103$	−7.67081	−	3.17735i	−0.755827	−	0.313074i	−0.0287106	−	0.999588i	$-0.509140\pi$
$103$	−7.67081	−	3.17735i	−0.755827	−	0.313074i	−0.727117	+	0.686514i	$0.759140\pi$
$104$	−12.2791	−	3.21623i	−1.20406	−	0.315378i
$105$	−1.90315	−	5.52645i	−0.185729	−	0.539327i
$106$	−7.81240	+	3.66083i	−0.758807	+	0.355572i
$107$	0.148705	+	0.0295793i	0.0143759	+	0.00285954i	0.202273	−	0.979329i	$-0.435167\pi$
$107$	0.148705	+	0.0295793i	0.0143759	+	0.00285954i	−0.187897	+	0.982189i	$0.560167\pi$
$108$	1.08118	+	10.3359i	0.104037	+	0.994573i
$109$	4.05016	+	2.70623i	0.387935	+	0.259210i	0.734209	−	0.678924i	$-0.237553\pi$
$109$	4.05016	+	2.70623i	0.387935	+	0.259210i	−0.346274	+	0.938133i	$0.612553\pi$
$110$	−3.20106	−	1.93425i	−0.305209	−	0.184423i
$111$	0.0796500	−	0.0704740i	0.00756004	−	0.00668909i
$112$	8.76735	−	5.67834i	0.828437	−	0.536552i
$113$	−0.112342	+	0.112342i	−0.0105683	+	0.0105683i	−0.712371	−	0.701803i	$-0.752379\pi$
$113$	−0.112342	+	0.112342i	−0.0105683	+	0.0105683i	0.701803	+	0.712371i	$0.252379\pi$
$114$	1.80550	+	9.87651i	0.169101	+	0.925020i
$115$	2.91903	+	1.95043i	0.272201	+	0.181879i
$116$	−0.250178	+	2.36634i	−0.0232284	+	0.219709i
$117$	−4.21521	+	12.7864i	−0.389696	+	1.18210i
$118$	17.5187	+	6.33908i	1.61272	+	0.583560i
$119$	−2.75682	+	1.14191i	−0.252717	+	0.104679i
$120$	−5.51406	−	3.11023i	−0.503362	−	0.283924i
$121$	6.29326	+	2.60675i	0.572115	+	0.236978i
$122$	13.5624	−	14.8566i	1.22788	−	1.34505i
$123$	−11.1561	+	6.50661i	−1.00591	+	0.586682i
$124$	5.25475	−	16.8866i	0.471891	−	1.51646i
$125$	2.10007	+	10.5578i	0.187836	+	0.944315i
$126$	−5.43241	−	9.65596i	−0.483958	−	0.860222i
$127$			7.19407i			0.638371i	0.947692	+	0.319185i	$0.103409\pi$
$127$			7.19407i			0.638371i	−0.947692	+	0.319185i	$0.896591\pi$
$128$	3.02303	−	10.9024i	0.267201	−	0.963641i
$129$	−0.907234	+	14.8427i	−0.0798775	+	1.30683i
$130$	−4.86204	−	6.60497i	−0.426429	−	0.579294i
$131$	5.06928	−	1.00834i	0.442905	−	0.0880993i	0.0314003	−	0.999507i	$-0.490003\pi$
$131$	5.06928	−	1.00834i	0.442905	−	0.0880993i	0.411505	+	0.911408i	$0.365003\pi$
$132$	−6.62805	−	2.51549i	−0.576897	−	0.218945i
$133$	−5.94672	−	8.89989i	−0.515646	−	0.771718i
$134$	9.98667	+	9.11670i	0.862717	+	0.787563i
$135$	−3.65646	+	5.63191i	−0.314698	+	0.484718i
$136$	−1.41313	+	2.90665i	−0.121175	+	0.249243i
$137$	−5.98651	−	14.4527i	−0.511462	−	1.23478i	−0.943033	−	0.332699i	$-0.892041\pi$
$137$	−5.98651	−	14.4527i	−0.511462	−	1.23478i	0.431571	−	0.902079i	$-0.357959\pi$
$138$	6.10769	+	2.64180i	0.519921	+	0.224885i
$139$	9.03332	+	1.79684i	0.766196	+	0.152406i	0.562690	−	0.826668i	$-0.309766\pi$
$139$	9.03332	+	1.79684i	0.766196	+	0.152406i	0.203506	+	0.979074i	$0.434766\pi$
$140$	6.71178	+	0.709592i	0.567249	+	0.0599715i
$141$	10.7950	−	14.1972i	0.909099	−	1.19562i
$142$	−1.52681	+	0.376644i	−0.128127	+	0.0316073i
$143$	−6.49427	−	6.49427i	−0.543078	−	0.543078i
$144$	−11.3417	−	3.91982i	−0.945145	−	0.326651i
$145$	−1.08717	+	1.08717i	−0.0902842	+	0.0902842i
$146$	−5.69274	+	9.42115i	−0.471135	+	0.779700i
$147$	−0.249038	−	0.189358i	−0.0205403	−	0.0156179i
$148$	0.0348063	+	0.117769i	0.00286106	+	0.00968053i
$149$	0.550680	−	2.76846i	0.0451135	−	0.226801i	−0.951651	−	0.307182i	$-0.900614\pi$
$149$	0.550680	−	2.76846i	0.0451135	−	0.226801i	0.996764	+	0.0803815i	$0.0256139\pi$
$150$	3.00407	+	7.58365i	0.245281	+	0.619202i
$151$	15.7558	−	6.52626i	1.28219	−	0.531099i	0.365539	−	0.930796i	$-0.380885\pi$
$151$	15.7558	−	6.52626i	1.28219	−	0.531099i	0.916647	+	0.399697i	$0.130885\pi$
$152$	−11.2151	−	2.93754i	−0.909663	−	0.238266i
$153$	2.98372	+	1.68780i	0.241219	+	0.136450i
$154$	7.55009	−	0.343833i	0.608404	−	0.0277068i
$155$	9.50117	−	6.34848i	0.763152	−	0.509922i
$156$	−11.3172	−	10.6584i	−0.906102	−	0.853354i
$157$	2.46219	+	12.3783i	0.196504	+	0.987894i	0.945575	+	0.325404i	$0.105500\pi$
$157$	2.46219	+	12.3783i	0.196504	+	0.987894i	−0.749071	+	0.662490i	$0.769500\pi$
$158$	−1.09179	+	7.18308i	−0.0868585	+	0.571455i
$159$	−10.5469	−	0.644660i	−0.836424	−	0.0511249i
$160$	5.94851	−	4.24888i	0.470271	−	0.335903i
$161$	−7.09439			−0.559116
$162$	−4.89815	+	11.7477i	−0.384835	+	0.922985i
$163$	9.81074	−	1.95148i	0.768437	−	0.152852i	0.204721	−	0.978820i	$-0.434371\pi$
$163$	9.81074	−	1.95148i	0.768437	−	0.152852i	0.563716	+	0.825969i	$0.309371\pi$
$164$	−1.35545	−	14.8511i	−0.105843	−	1.15967i
$165$	−2.30776	−	3.95682i	−0.179659	−	0.308038i
$166$	−19.3397	+	0.880735i	−1.50105	+	0.0683583i
$167$	5.57881	−	13.4684i	0.431701	−	1.04222i	−0.547037	−	0.837108i	$-0.684244\pi$
$167$	5.57881	−	13.4684i	0.431701	−	1.04222i	0.978739	−	0.205111i	$-0.0657555\pi$
$168$	12.7567	−	0.964700i	0.984204	−	0.0744282i
$169$	−2.73238	−	6.59654i	−0.210183	−	0.507426i
$170$	−1.89095	+	0.886086i	−0.145029	+	0.0679597i
$171$	−3.84995	+	11.6784i	−0.294413	+	0.893072i
$172$	−15.0851	−	8.20248i	−1.15023	−	0.625434i
$173$	−3.94790	+	5.90846i	−0.300154	+	0.449212i	−0.950635	−	0.310310i	$-0.899567\pi$
$173$	−3.94790	+	5.90846i	−0.300154	+	0.449212i	0.650482	+	0.759522i	$0.274567\pi$
$174$	−1.65656	+	2.39772i	−0.125584	+	0.181770i
$175$	−6.14908	−	6.14908i	−0.464827	−	0.464827i
$176$	5.87068	−	5.70497i	0.442519	−	0.430028i
$177$	15.1199	+	17.0886i	1.13648	+	1.28446i
$178$	23.1941	−	5.72169i	1.73847	−	0.428859i
$179$	10.1714	−	15.2226i	0.760245	−	1.13779i	−0.226262	−	0.974067i	$-0.572650\pi$
$179$	10.1714	−	15.2226i	0.760245	−	1.13779i	0.986507	−	0.163721i	$-0.0523495\pi$
$180$	−4.10525	−	6.57757i	−0.305987	−	0.490263i
$181$	−2.25550	+	11.3392i	−0.167650	+	0.842834i	0.801809	+	0.597581i	$0.203871\pi$
$181$	−2.25550	+	11.3392i	−0.167650	+	0.842834i	−0.969459	+	0.245253i	$0.921129\pi$
$182$	15.5847	+	5.63929i	1.15522	+	0.418012i
$183$	23.2945	−	8.02196i	1.72198	−	0.593000i
$184$	−5.74854	+	5.09884i	−0.423788	+	0.375892i
$185$	−0.0303650	+	0.0733076i	−0.00223248	+	0.00538968i
$186$	15.5520	−	15.0761i	1.14033	−	1.10543i
$187$	−1.94438	+	1.29920i	−0.142187	+	0.0950066i
$188$	9.57782	+	18.2315i	0.698535	+	1.32967i
$189$	−0.179217	−	13.5680i	−0.0130361	−	0.986928i
$190$	−4.44073	−	6.03263i	−0.322164	−	0.437653i
$191$	3.91113			0.282999			0.141500	−	0.989938i	$-0.454808\pi$
$191$	3.91113			0.282999			0.141500	+	0.989938i	$0.454808\pi$
$192$	9.64337	−	9.95015i	0.695950	−	0.718090i
$193$	−24.6472			−1.77414			−0.887072	−	0.461631i	$-0.847264\pi$
$193$	−24.6472			−1.77414			−0.887072	+	0.461631i	$0.847264\pi$
$194$	4.04668	+	5.49732i	0.290535	+	0.394685i
$195$	−1.35494	−	9.95297i	−0.0970292	−	0.712747i
$196$	0.319805	−	0.168008i	0.0228432	−	0.0120005i
$197$	7.74164	−	5.17280i	0.551569	−	0.368547i	−0.248335	−	0.968674i	$-0.579884\pi$
$197$	7.74164	−	5.17280i	0.551569	−	0.368547i	0.799904	+	0.600128i	$0.204884\pi$
$198$	−5.65181	−	6.59129i	−0.401656	−	0.468423i
$199$	−5.45577	+	13.1714i	−0.386749	+	0.933695i	0.603875	+	0.797079i	$0.293623\pi$
$199$	−5.45577	+	13.1714i	−0.386749	+	0.933695i	−0.990624	+	0.136616i	$0.956377\pi$
$200$	−9.40201	−	0.563130i	−0.664822	−	0.0398193i
$201$	5.39240	+	15.6587i	0.380350	+	1.10448i
$202$	−25.3708	−	9.18037i	−1.78508	−	0.645928i
$203$	0.606135	−	3.04725i	0.0425423	−	0.213875i
$204$	−3.22385	+	2.29676i	−0.225715	+	0.160806i
$205$	5.35325	−	8.01171i	0.373887	−	0.559562i
$206$	11.4002	−	2.81229i	0.794290	−	0.195941i
$207$	5.01822	+	6.42198i	0.348790	+	0.446359i
$208$	16.6813	−	6.63148i	1.15664	−	0.459810i
$209$	−5.93152	−	5.93152i	−0.410292	−	0.410292i
$210$	6.80077	+	4.69860i	0.469298	+	0.324234i
$211$	−5.26219	+	7.87543i	−0.362264	+	0.542167i	−0.967170	−	0.254130i	$-0.918211\pi$
$211$	−5.26219	+	7.87543i	−0.362264	+	0.542167i	0.604906	+	0.796297i	$0.293211\pi$
$212$	5.82850	−	10.7191i	0.400303	−	0.736191i
$213$	−1.86256	−	0.490292i	−0.127620	−	0.0335943i
$214$	−0.194161	+	0.0909825i	−0.0132726	+	0.00621944i
$215$	−4.24573	−	10.2501i	−0.289556	−	0.699051i
$216$	−9.89675	−	10.8653i	−0.673389	−	0.739289i
$217$	−8.83677	+	21.3338i	−0.599879	+	1.44824i
$218$	−6.88162	+	0.313390i	−0.466082	+	0.0212255i
$219$	−11.6454	+	6.79203i	−0.786926	+	0.458963i
$220$	5.26736	−	0.480750i	0.355125	−	0.0324122i
$221$	−5.02950	+	1.00043i	−0.338321	+	0.0672962i
$222$	−0.0316309	+	0.147040i	−0.00212293	+	0.00986871i
$223$	8.31432			0.556768			0.278384	−	0.960470i	$-0.410201\pi$
$223$	8.31432			0.556768			0.278384	+	0.960470i	$0.410201\pi$
$224$	−5.22469	+	13.8175i	−0.349089	+	0.923219i
$225$	−1.21672	+	9.91584i	−0.0811146	+	0.661056i
$226$	0.0337632	−	0.222133i	0.00224589	−	0.0147761i
$227$	0.232983	+	1.17128i	0.0154636	+	0.0777409i	0.987747	−	0.156067i	$-0.0498814\pi$
$227$	0.232983	+	1.17128i	0.0154636	+	0.0777409i	−0.972283	+	0.233808i	$0.924881\pi$
$228$	−10.3365	−	9.73481i	−0.684554	−	0.644704i
$229$	5.21045	−	3.48151i	0.344317	−	0.230065i	−0.371373	−	0.928484i	$-0.621113\pi$
$229$	5.21045	−	3.48151i	0.344317	−	0.230065i	0.715689	+	0.698419i	$0.246113\pi$
$230$	−4.95972	+	0.225867i	−0.327034	+	0.0148932i
$231$	8.31987	+	4.05746i	0.547407	+	0.266962i
$232$	−1.69895	−	2.90480i	−0.111542	−	0.190710i
$233$	−7.50739	+	3.10966i	−0.491826	+	0.203721i	−0.614791	−	0.788690i	$-0.710760\pi$
$233$	−7.50739	+	3.10966i	−0.491826	+	0.203721i	0.122965	+	0.992411i	$0.460760\pi$
$234$	−5.91905	−	18.0966i	−0.386941	−	1.18301i
$235$	−2.59598	+	13.0509i	−0.169343	+	0.851345i
$236$	−25.2668	+	7.46754i	−1.64473	+	0.486095i
$237$	−5.38592	+	7.08342i	−0.349853	+	0.460117i
$238$	2.18243	−	3.61179i	0.141466	−	0.234118i
$239$	−7.88919	+	7.88919i	−0.510309	+	0.510309i	−0.914621	−	0.404312i	$-0.867511\pi$
$239$	−7.88919	+	7.88919i	−0.510309	+	0.510309i	0.404312	+	0.914621i	$0.367511\pi$
$240$	8.88758	−	1.08057i	0.573691	−	0.0697503i
$241$	11.5129	+	11.5129i	0.741610	+	0.741610i	0.972888	−	0.231278i	$-0.0742907\pi$
$241$	11.5129	+	11.5129i	0.741610	+	0.741610i	−0.231278	+	0.972888i	$0.574291\pi$
$242$	−9.35293	+	2.30725i	−0.601229	+	0.148315i
$243$	−12.1553	+	9.75957i	−0.779761	+	0.626077i
$244$	−2.99099	+	28.2908i	−0.191479	+	1.81113i
$245$	0.228929	+	0.0455369i	0.0146258	+	0.00290924i
$246$	7.25082	−	16.7635i	0.462295	−	1.06880i
$247$	−7.03940	−	16.9946i	−0.447906	−	1.08134i
$248$	8.17257	+	23.6378i	0.518958	+	1.50100i
$249$	−21.3115	−	10.3933i	−1.35056	−	0.658647i
$250$	−11.2432	−	10.2637i	−0.711080	−	0.649136i
$251$	−3.24341	−	4.85411i	−0.204722	−	0.306389i	0.714874	−	0.699253i	$-0.246484\pi$
$251$	−3.24341	−	4.85411i	−0.204722	−	0.306389i	−0.919596	+	0.392865i	$0.871484\pi$
$252$	14.2824	+	6.44291i	0.899705	+	0.405865i
$253$	−5.45295	+	1.08466i	−0.342824	+	0.0681919i
$254$	−6.03133	−	8.19343i	−0.378440	−	0.514102i
$255$	−2.55282	−	0.156037i	−0.159864	−	0.00977139i
$256$	5.69729	+	14.9513i	0.356081	+	0.934455i
$257$			1.44059i			0.0898615i	0.998990	+	0.0449307i	$0.0143067\pi$
$257$			1.44059i			0.0898615i	−0.998990	+	0.0449307i	$0.985693\pi$
$258$	−11.4105	−	17.6652i	−0.710388	−	1.09979i
$259$	−0.0312818	−	0.157264i	−0.00194376	−	0.00977193i
$260$	11.0749	+	3.44628i	0.686835	+	0.213729i
$261$	−3.18718	+	1.60679i	−0.197281	+	0.0994575i
$262$	−4.92811	+	5.39838i	−0.304459	+	0.333513i
$263$	14.8073	+	6.13337i	0.913055	+	0.378200i	0.789225	−	0.614104i	$-0.210482\pi$
$263$	14.8073	+	6.13337i	0.913055	+	0.378200i	0.123829	+	0.992304i	$0.460482\pi$
$264$	9.65770	−	2.69187i	0.594390	−	0.165673i
$265$	7.28348	−	3.01692i	0.447421	−	0.185328i
$266$	14.2343	+	5.15063i	0.872758	+	0.315805i
$267$	28.2946	+	7.44815i	1.73160	+	0.455819i
$268$	−19.0172	−	2.01056i	−1.16166	−	0.122814i
$269$	−9.10037	−	6.08067i	−0.554859	−	0.370745i	0.246303	−	0.969193i	$-0.420784\pi$
$269$	−9.10037	−	6.08067i	−0.554859	−	0.370745i	−0.801162	+	0.598448i	$0.795784\pi$
$270$	−0.557261	−	9.47976i	−0.0339138	−	0.576920i
$271$	−1.13078	+	1.13078i	−0.0686899	+	0.0686899i	−0.740617	−	0.671927i	$-0.765467\pi$
$271$	−1.13078	+	1.13078i	−0.0686899	+	0.0686899i	0.671927	+	0.740617i	$0.265467\pi$
$272$	−0.827436	−	4.49516i	−0.0501707	−	0.272559i
$273$	13.4508	+	15.2021i	0.814077	+	0.920074i
$274$	18.9349	+	11.4415i	1.14390	+	0.691204i
$275$	−5.66649	−	3.78623i	−0.341702	−	0.228318i
$276$	−9.17095	+	2.11175i	−0.552027	+	0.127112i
$277$	10.2632	+	2.04148i	0.616658	+	0.122661i	0.493528	−	0.869730i	$-0.335707\pi$
$277$	10.2632	+	2.04148i	0.616658	+	0.122661i	0.123129	+	0.992391i	$0.460707\pi$
$278$	−11.7946	+	5.52687i	−0.707394	+	0.331480i
$279$	25.5625	−	7.09128i	1.53039	−	0.424544i
$280$	−8.23905	+	4.81883i	−0.492378	+	0.287980i
$281$	23.8008	+	9.85861i	1.41984	+	0.588115i	0.954819	−	0.297187i	$-0.0960485\pi$
$281$	23.8008	+	9.85861i	1.41984	+	0.588115i	0.465016	+	0.885302i	$0.346048\pi$
$282$	−0.391905	+	25.2197i	−0.0233376	+	1.50181i
$283$	−2.74956	−	4.11501i	−0.163444	−	0.244612i	0.740703	−	0.671833i	$-0.234493\pi$
$283$	−2.74956	−	4.11501i	−0.163444	−	0.244612i	−0.904147	+	0.427221i	$0.859493\pi$
$284$	1.42314	−	1.70900i	0.0844476	−	0.101411i
$285$	−1.23753	−	9.09051i	−0.0733049	−	0.538476i
$286$	12.8410	+	1.95178i	0.759307	+	0.115411i
$287$			19.4716i			1.14937i
$288$	16.2035	−	5.04430i	0.954803	−	0.297238i
$289$		−	15.6943i		−	0.923194i
$290$	0.326735	−	2.14964i	0.0191866	−	0.126231i
$291$	1.12772	+	8.28387i	0.0661080	+	0.485609i
$292$	−1.41491	−	15.5025i	−0.0828015	−	0.907217i
$293$	−9.95704	−	14.9018i	−0.581696	−	0.870570i	0.417579	−	0.908641i	$-0.362879\pi$
$293$	−9.95704	−	14.9018i	−0.581696	−	0.870570i	−0.999275	+	0.0380706i	$0.987879\pi$
$294$	0.442386	+	0.00687452i	0.0258005	+	0.000400930i
$295$	−15.7278	−	6.51468i	−0.915710	−	0.379299i
$296$	−0.138376	−	0.104948i	−0.00804293	−	0.00609996i
$297$	−2.21216	−	10.4014i	−0.128363	−	0.603548i
$298$	1.69383	+	3.61471i	0.0981209	+	0.209395i
$299$	−11.9577	−	2.37853i	−0.691530	−	0.137554i
$300$	−9.77932	−	6.11859i	−0.564609	−	0.353257i
$301$	18.6415	+	12.4559i	1.07448	+	0.717945i
$302$	−12.4730	+	20.6421i	−0.717742	+	1.18782i
$303$	−21.8969	−	24.7480i	−1.25794	−	1.42173i
$304$	15.2358	−	6.05684i	0.873831	−	0.347384i
$305$	−12.9976	+	12.9976i	−0.744240	+	0.744240i
$306$	−4.81321	+	0.579221i	−0.275153	+	0.0331119i
$307$	25.3066	+	16.9093i	1.44432	+	0.965066i	0.997516	+	0.0704357i	$0.0224389\pi$
$307$	25.3066	+	16.9093i	1.44432	+	0.965066i	0.446807	+	0.894630i	$0.352561\pi$
$308$	−8.31065	+	6.72141i	−0.473543	+	0.382988i
$309$	13.9071	+	3.66086i	0.791150	+	0.208259i
$310$	−5.49861	+	15.1959i	−0.312300	+	0.863071i
$311$	−8.61973	+	3.57041i	−0.488780	+	0.202459i	−0.613442	−	0.789740i	$-0.710215\pi$
$311$	−8.61973	+	3.57041i	−0.488780	+	0.202459i	0.124662	+	0.992199i	$0.460215\pi$
$312$	21.8251	+	2.65093i	1.23560	+	0.150079i
$313$	−5.22840	−	2.16567i	−0.295527	−	0.122411i	0.229994	−	0.973192i	$-0.426129\pi$
$313$	−5.22840	−	2.16567i	−0.295527	−	0.122411i	−0.525520	+	0.850781i	$0.676129\pi$
$314$	−13.1819	−	12.0336i	−0.743896	−	0.679093i
$315$	4.55741	+	9.03997i	0.256781	+	0.509344i
$316$	−4.77866	−	9.09624i	−0.268820	−	0.511704i
$317$	−0.549456	−	2.76230i	−0.0308605	−	0.155146i	0.962282	−	0.272052i	$-0.0877024\pi$
$317$	−0.549456	−	2.76230i	−0.0308605	−	0.155146i	−0.993143	+	0.116906i	$0.962702\pi$
$318$	12.5525	−	8.10806i	0.703909	−	0.454677i
$319$		−	2.43487i		−	0.136327i
$320$	−3.21269	+	9.82620i	−0.179595	+	0.549301i
$321$	−0.262122	−	0.0160217i	−0.0146302	−	0.000894244i
$322$	8.07990	−	5.94776i	0.450275	−	0.331456i
$323$	−4.59368	+	0.913739i	−0.255599	+	0.0508418i
$324$	−4.27039	−	17.4861i	−0.237244	−	0.971450i
$325$	−8.30276	−	12.4260i	−0.460554	−	0.689268i
$326$	−9.53752	+	10.4477i	−0.528235	+	0.578642i
$327$	−7.58324	−	3.69822i	−0.419354	−	0.204512i
$328$	13.9945	+	15.7777i	0.772719	+	0.871180i
$329$	−10.2903	−	24.8430i	−0.567323	−	1.36964i
$330$	5.94564	+	2.57171i	0.327296	+	0.141568i
$331$	6.13663	+	1.22065i	0.337300	+	0.0670931i	0.360834	−	0.932630i	$-0.382492\pi$
$331$	6.13663	+	1.22065i	0.337300	+	0.0670931i	−0.0235345	+	0.999723i	$0.507492\pi$
$332$	21.2879	−	17.2170i	1.16833	−	0.944908i
$333$	−0.120232	+	0.139558i	−0.00658866	+	0.00764773i
$334$	4.93782	+	20.0165i	0.270186	+	1.09526i
$335$	−8.73704	−	8.73704i	−0.477355	−	0.477355i
$336$	−13.7201	+	11.7936i	−0.748490	+	0.643396i
$337$	−4.62732	+	4.62732i	−0.252066	+	0.252066i	−0.821817	−	0.569751i	$-0.807040\pi$
$337$	−4.62732	+	4.62732i	−0.252066	+	0.252066i	0.569751	+	0.821817i	$0.307040\pi$
$338$	8.64232	+	5.22214i	0.470080	+	0.284047i
$339$	0.166557	−	0.219051i	0.00904612	−	0.0118972i
$340$	1.41076	−	2.59450i	0.0765090	−	0.140707i
$341$	−3.53047	+	17.7489i	−0.191185	+	0.961154i
$342$	−5.40615	−	16.5284i	−0.292331	−	0.893756i
$343$	−17.3241	+	7.17586i	−0.935412	+	0.387460i
$344$	24.0574	−	3.30502i	1.29709	−	0.178195i
$345$	−5.46539	−	2.66538i	−0.294247	−	0.143499i
$346$	−0.457181	−	10.0391i	−0.0245782	−	0.539703i
$347$	8.23310	−	5.50118i	0.441976	−	0.295319i	−0.314600	−	0.949224i	$-0.601871\pi$
$347$	8.23310	−	5.50118i	0.441976	−	0.295319i	0.756576	+	0.653905i	$0.226871\pi$
$348$	−0.123503	−	4.11962i	−0.00662048	−	0.220835i
$349$	−2.82811	−	14.2179i	−0.151385	−	0.761065i	−0.979648	−	0.200725i	$-0.935670\pi$
$349$	−2.82811	−	14.2179i	−0.151385	−	0.761065i	0.828262	−	0.560341i	$-0.189330\pi$
$350$	12.1585	+	1.84804i	0.649900	+	0.0987818i
$351$	4.24686	−	22.9291i	0.226681	−	1.22387i
$352$	−1.90330	+	11.4193i	−0.101446	+	0.608651i
$353$	25.1435			1.33825			0.669127	−	0.743148i	$-0.266668\pi$
$353$	25.1435			1.33825			0.669127	+	0.743148i	$0.266668\pi$
$354$	−31.5469	−	6.78628i	−1.67670	−	0.360687i
$355$	1.40936	−	0.280338i	0.0748009	−	0.0148788i
$356$	−21.6192	+	25.9619i	−1.14582	+	1.37598i
$357$	4.46452	−	2.60387i	0.236287	−	0.137811i
$358$	1.17788	+	25.8646i	0.0622529	+	1.36699i
$359$	−7.90351	+	19.0808i	−0.417132	+	1.00704i	0.566043	+	0.824376i	$0.308474\pi$
$359$	−7.90351	+	19.0808i	−0.417132	+	1.00704i	−0.983174	+	0.182669i	$0.941526\pi$
$360$	10.1900	+	4.04956i	0.537060	+	0.213430i
$361$	0.841569	+	2.03173i	0.0442931	+	0.106933i
$362$	−6.93766	−	14.8053i	−0.364635	−	0.778149i
$363$	−11.4097	−	3.00343i	−0.598852	−	0.157639i
$364$	−22.4775	+	6.64317i	−1.17814	+	0.348197i
$365$	5.58808	−	8.36315i	0.292493	−	0.437747i
$366$	−19.8050	+	28.6659i	−1.03522	+	1.49839i
$367$	−17.6518	−	17.6518i	−0.921418	−	0.921418i	0.0757114	−	0.997130i	$-0.475877\pi$
$367$	−17.6518	−	17.6518i	−0.921418	−	0.921418i	−0.997130	+	0.0757114i	$0.975877\pi$
$368$	2.27235	−	10.6266i	0.118455	−	0.553949i
$369$	17.6261	−	13.7732i	0.917578	−	0.717007i
$370$	−0.0268762	−	0.108948i	−0.00139722	−	0.00566395i
$371$	−8.85086	+	13.2463i	−0.459514	+	0.687711i
$372$	−5.07301	+	30.2088i	−0.263023	+	1.56625i
$373$	2.93300	−	14.7452i	0.151865	−	0.763476i	−0.827514	−	0.561445i	$-0.810246\pi$
$373$	2.93300	−	14.7452i	0.151865	−	0.763476i	0.979379	−	0.202031i	$-0.0647543\pi$
$374$	1.12527	−	3.10980i	0.0581865	−	0.160804i
$375$	−6.07086	−	17.6288i	−0.313498	−	0.910347i
$376$	−26.1932	−	12.7343i	−1.35081	−	0.656723i
$377$	2.04330	−	4.93295i	0.105235	−	0.254060i
$378$	11.5792	+	15.3026i	0.595570	+	0.787079i
$379$	−19.6512	+	13.1305i	−1.00941	+	0.674469i	−0.946217	−	0.323532i	$-0.895130\pi$
$379$	−19.6512	+	13.1305i	−1.00941	+	0.674469i	−0.0631973	+	0.998001i	$0.520130\pi$
$380$	10.1152	+	3.14765i	0.518900	+	0.161471i
$381$	−1.68080	−	12.3466i	−0.0861098	−	0.632536i
$382$	−4.45444	+	3.27899i	−0.227909	+	0.167768i
$383$	−14.1719			−0.724151			−0.362075	−	0.932149i	$-0.617932\pi$
$383$	−14.1719			−0.724151			−0.362075	+	0.932149i	$0.617932\pi$
$384$	−2.64101	+	19.4171i	−0.134773	+	0.990876i
$385$	−6.90616			−0.351970
$386$	28.0710	−	20.6636i	1.42878	−	1.05175i
$387$	−1.91079	−	25.6854i	−0.0971307	−	1.30566i
$388$	−9.21765	−	2.86834i	−0.467955	−	0.145618i
$389$	23.4151	−	15.6455i	1.18719	−	0.793257i	0.204567	−	0.978852i	$-0.434421\pi$
$389$	23.4151	−	15.6455i	1.18719	−	0.793257i	0.982626	+	0.185595i	$0.0594213\pi$
$390$	9.88749	+	10.1996i	0.500672	+	0.516479i
$391$	−1.18796	+	2.86800i	−0.0600779	+	0.145041i
$392$	−0.223377	+	0.459463i	−0.0112822	+	0.0232064i
$393$	−8.46442	+	2.91491i	−0.426973	+	0.147038i
$394$	−4.48032	+	12.3818i	−0.225715	+	0.623785i
$395$	1.29521	−	6.51146i	0.0651691	−	0.327627i
$396$	11.9629	+	2.76858i	0.601158	+	0.139126i
$397$	9.88632	−	14.7959i	0.496180	−	0.742586i	−0.495874	−	0.868394i	$-0.665152\pi$
$397$	9.88632	−	14.7959i	0.496180	−	0.742586i	0.992055	+	0.125808i	$0.0401523\pi$
$398$	−4.82892	−	19.5751i	−0.242052	−	0.981209i
$399$	12.2852	+	13.8848i	0.615030	+	0.695110i
$400$	11.1802	−	7.24106i	0.559010	−	0.362053i
$401$	−3.13688	−	3.13688i	−0.156648	−	0.156648i	0.624431	−	0.781080i	$-0.285331\pi$
$401$	−3.13688	−	3.13688i	−0.156648	−	0.156648i	−0.781080	+	0.624431i	$0.785331\pi$
$402$	−19.2693	−	13.3130i	−0.961066	−	0.663993i
$403$	−22.0471	+	32.9958i	−1.09824	+	1.64364i
$404$	36.5918	−	10.8146i	1.82051	−	0.538047i
$405$	4.95948	−	10.5199i	0.246438	−	0.522737i
$406$	1.86440	+	3.97872i	0.0925287	+	0.197461i
$407$	−0.0480882	−	0.116095i	−0.00238364	−	0.00575463i
$408$	1.74614	−	5.31861i	0.0864467	−	0.263311i
$409$	−3.60602	+	8.70570i	−0.178306	+	0.430469i	−0.987611	−	0.156919i	$-0.949844\pi$
$409$	−3.60602	+	8.70570i	−0.178306	+	0.430469i	0.809305	+	0.587388i	$0.199844\pi$
$410$	0.619925	+	13.6127i	0.0306159	+	0.672283i
$411$	13.6508	+	23.4054i	0.673346	+	1.15450i
$412$	−10.6261	+	12.7606i	−0.523511	+	0.628670i
$413$	33.7404	−	6.71139i	1.66026	−	0.330246i
$414$	−11.0994	−	3.10694i	−0.545504	−	0.152698i
$415$	17.6903			0.868381
$416$	−13.4388	+	21.5378i	−0.658894	+	1.05598i
$417$	−15.9230	−	0.973263i	−0.779752	−	0.0476609i
$418$	11.7283	+	1.78265i	0.573651	+	0.0871923i
$419$	−3.63534	−	18.2761i	−0.177598	−	0.892846i	−0.962095	−	0.272714i	$-0.912079\pi$
$419$	−3.63534	−	18.2761i	−0.177598	−	0.892846i	0.784497	−	0.620132i	$-0.212921\pi$
$420$	−11.6847	+	0.350299i	−0.570154	+	0.0170929i
$421$	28.2566	−	18.8805i	1.37714	−	0.920178i	0.377161	−	0.926148i	$-0.376900\pi$
$421$	28.2566	−	18.8805i	1.37714	−	0.920178i	0.999982	+	0.00597027i	$0.00190041\pi$
$422$	−0.609380	−	13.3811i	−0.0296641	−	0.651384i
$423$	−15.2095	+	26.8877i	−0.739513	+	1.30732i
$424$	2.34847	+	17.0946i	0.114052	+	0.830188i
$425$	−3.51552	+	1.45617i	−0.170528	+	0.0706348i
$426$	2.53234	−	1.00312i	0.122692	−	0.0486014i
$427$	7.24663	−	36.4313i	0.350689	−	1.76303i
$428$	0.144855	−	0.266401i	0.00700185	−	0.0128770i
$429$	12.6629	+	9.62830i	0.611370	+	0.464859i
$430$	13.4290	+	8.11447i	0.647601	+	0.391314i
$431$	16.7945	−	16.7945i	0.808963	−	0.808963i	−0.175514	−	0.984477i	$-0.556159\pi$
$431$	16.7945	−	16.7945i	0.808963	−	0.808963i	0.984477	+	0.175514i	$0.0561586\pi$
$432$	20.3807	+	4.07743i	0.980569	+	0.196175i
$433$	−16.6355	−	16.6355i	−0.799452	−	0.799452i	0.183557	−	0.983009i	$-0.441239\pi$
$433$	−16.6355	−	16.6355i	−0.799452	−	0.799452i	−0.983009	+	0.183557i	$0.941239\pi$
$434$	−7.82145	−	31.7060i	−0.375442	−	1.52193i
$435$	1.61181	−	2.11982i	0.0772806	−	0.101637i
$436$	7.57484	−	6.12631i	0.362769	−	0.293397i
$437$	−10.9215	−	2.17242i	−0.522446	−	0.103921i
$438$	7.56888	−	17.4988i	0.361655	−	0.836125i
$439$	6.71827	+	16.2193i	0.320645	+	0.774106i	0.999217	+	0.0395719i	$0.0125994\pi$
$439$	6.71827	+	16.2193i	0.320645	+	0.774106i	−0.678571	+	0.734534i	$0.737401\pi$
$440$	−5.59602	+	4.96356i	−0.266780	+	0.236628i
$441$	0.471645	+	0.266795i	0.0224593	+	0.0127045i
$442$	4.88943	−	5.35601i	0.232567	−	0.254760i
$443$	15.2357	+	22.8019i	0.723871	+	1.08335i	0.992753	+	0.120176i	$0.0383460\pi$
$443$	15.2357	+	22.8019i	0.723871	+	1.08335i	−0.268881	+	0.963173i	$0.586654\pi$
$444$	−0.0872502	−	0.193985i	−0.00414071	−	0.00920612i
$445$	−21.4099	+	4.25869i	−1.01493	+	0.201881i
$446$	−9.46930	+	6.97052i	−0.448384	+	0.330064i
$447$	−0.298277	+	4.87994i	−0.0141080	+	0.230813i
$448$	−5.63376	−	20.1172i	−0.266170	−	0.950447i
$449$		−	41.1958i		−	1.94415i	−0.234666	−	0.972076i	$-0.575400\pi$
$449$		−	41.1958i		−	1.94415i	0.234666	−	0.972076i	$-0.424600\pi$
$450$	−6.92746	−	12.3134i	−0.326563	−	0.580457i
$451$	2.97701	+	14.9664i	0.140182	+	0.704742i
$452$	0.147778	+	0.281297i	0.00695087	+	0.0132311i
$453$	−25.5156	+	14.8816i	−1.19883	+	0.699199i
$454$	−1.24732	−	1.13867i	−0.0585398	−	0.0534402i
$455$	−13.9916	−	5.79551i	−0.655936	−	0.271698i
$456$	19.9339	+	2.42122i	0.933488	+	0.113384i
$457$	13.3324	−	5.52246i	0.623663	−	0.258330i	−0.0483950	−	0.998828i	$-0.515411\pi$
$457$	13.3324	−	5.52246i	0.623663	−	0.258330i	0.672058	+	0.740499i	$0.265411\pi$
$458$	−3.01544	+	8.33346i	−0.140902	+	0.389397i
$459$	−5.51505	−	2.19953i	−0.257421	−	0.102665i
$460$	5.45933	−	4.41535i	0.254543	−	0.205867i
$461$	11.3213	+	7.56465i	0.527286	+	0.352321i	0.790545	−	0.612404i	$-0.209797\pi$
$461$	11.3213	+	7.56465i	0.527286	+	0.352321i	−0.263259	+	0.964725i	$0.584797\pi$
$462$	−12.8773	+	2.35407i	−0.599106	+	0.109521i
$463$	13.1226	−	13.1226i	0.609858	−	0.609858i	−0.333051	−	0.942909i	$-0.608078\pi$
$463$	13.1226	−	13.1226i	0.609858	−	0.609858i	0.942909	+	0.333051i	$0.108078\pi$
$464$	4.37028	+	1.88396i	0.202885	+	0.0874608i
$465$	−14.8229	+	13.1152i	−0.687394	+	0.608203i
$466$	5.94321	−	9.83566i	0.275314	−	0.455628i
$467$	12.8464	+	8.58370i	0.594461	+	0.397206i	0.816090	−	0.577925i	$-0.196137\pi$
$467$	12.8464	+	8.58370i	0.594461	+	0.397206i	−0.221629	+	0.975131i	$0.571137\pi$
$468$	21.9130	+	15.6480i	1.01293	+	0.723331i
$469$	24.4893	+	4.87122i	1.13081	+	0.224932i
$470$	−7.98493	−	17.0402i	−0.368317	−	0.786007i
$471$	−7.11768	−	20.6686i	−0.327965	−	0.952359i
$472$	22.5161	−	29.6879i	1.03639	−	1.36650i
$473$	16.2328	+	6.72385i	0.746385	+	0.309163i
$474$	0.195533	−	12.5828i	0.00898112	−	0.577948i
$475$	−7.58330	−	11.3492i	−0.347946	−	0.520737i
$476$	0.542436	+	5.94322i	0.0248625	+	0.272407i
$477$	18.2514	−	1.35776i	0.835676	−	0.0621676i
$478$	2.37101	−	15.5992i	0.108447	−	0.713492i
$479$			15.3963i			0.703474i	0.936099	+	0.351737i	$0.114409\pi$
$479$			15.3963i			0.703474i	−0.936099	+	0.351737i	$0.885591\pi$
$480$	−9.21627	+	8.68181i	−0.420663	+	0.396268i
$481$		−	0.275559i		−	0.0125644i
$482$	−22.7643	−	3.46007i	−1.03689	−	0.157602i
$483$	12.1755	−	1.65751i	0.554006	−	0.0754191i
$484$	8.71784	−	10.4690i	0.396266	−	0.475865i
$485$	−3.46536	−	5.18628i	−0.157354	−	0.235497i
$486$	5.66163	−	21.3060i	0.256817	−	0.966460i
$487$	−18.4151	−	7.62780i	−0.834469	−	0.345649i	−0.0757989	−	0.997123i	$-0.524151\pi$
$487$	−18.4151	−	7.62780i	−0.834469	−	0.345649i	−0.758670	+	0.651475i	$0.774151\pi$
$488$	−20.3118	−	34.7283i	−0.919472	−	1.57208i
$489$	−16.3815	+	5.64131i	−0.740795	+	0.255109i
$490$	−0.298908	+	0.140066i	−0.0135033	+	0.00632754i
$491$	13.3937	+	2.66417i	0.604449	+	0.120232i	0.487822	−	0.872943i	$-0.337792\pi$
$491$	13.3937	+	2.66417i	0.604449	+	0.120232i	0.116628	+	0.993176i	$0.462792\pi$
$492$	5.79601	+	25.1711i	0.261304	+	1.13480i
$493$	−1.13039	−	0.755302i	−0.0509102	−	0.0340171i
$494$	22.2652	+	13.4538i	1.00176	+	0.605313i
$495$	4.88507	+	6.25160i	0.219568	+	0.280988i
$496$	−29.1252	−	20.0698i	−1.30776	−	0.901159i
$497$	−2.05331	+	2.05331i	−0.0921036	+	0.0921036i
$498$	32.9855	−	6.03000i	1.47811	−	0.270211i
$499$	2.01944	+	1.34935i	0.0904027	+	0.0604052i	0.599950	−	0.800037i	$-0.295187\pi$
$499$	2.01944	+	1.34935i	0.0904027	+	0.0604052i	−0.509547	+	0.860443i	$0.670187\pi$
$500$	21.4099	+	2.26352i	0.957479	+	0.101228i
$501$	−6.42776	+	24.4182i	−0.287171	+	1.09093i
$502$	7.76354	+	2.80922i	0.346504	+	0.125382i
$503$	−30.5083	+	12.6369i	−1.36030	+	0.563454i	−0.939140	−	0.343534i	$-0.888376\pi$
$503$	−30.5083	+	12.6369i	−1.36030	+	0.563454i	−0.421157	+	0.906988i	$0.638376\pi$
$504$	−21.6680	+	4.63607i	−0.965169	+	0.206507i
$505$	22.7773	+	9.43467i	1.01358	+	0.419837i
$506$	5.30109	−	5.80695i	0.235662	−	0.258151i
$507$	6.23055	+	10.6827i	0.276709	+	0.474437i
$508$	13.7383	+	4.27509i	0.609541	+	0.189677i
$509$	5.10615	+	25.6704i	0.226326	+	1.13782i	0.912088	+	0.409993i	$0.134469\pi$
$509$	5.10615	+	25.6704i	0.226326	+	1.13782i	−0.685762	+	0.727826i	$0.740531\pi$
$510$	3.03827	−	1.96251i	0.134537	−	0.0869015i
$511$			20.3257i			0.899158i
$512$	−19.0235	−	12.2518i	−0.840729	−	0.541457i
$513$	3.87886	−	20.9423i	0.171256	−	0.924623i
$514$	−1.20775	−	1.64071i	−0.0532718	−	0.0723685i
$515$	−10.5232	+	2.09320i	−0.463709	+	0.0922375i
$516$	27.8057	+	10.5529i	1.22408	+	0.464564i
$517$	−11.7077	−	17.5217i	−0.514902	−	0.770606i
$518$	0.167474	+	0.152885i	0.00735838	+	0.00671737i
$519$	5.39505	−	11.0626i	0.236816	−	0.485594i
$520$	−15.5026	+	5.35990i	−0.679835	+	0.235047i
$521$	5.58140	+	13.4747i	0.244525	+	0.590337i	0.997722	−	0.0674589i	$-0.0214891\pi$
$521$	5.58140	+	13.4747i	0.244525	+	0.590337i	−0.753197	+	0.657795i	$0.771489\pi$
$522$	2.28284	−	4.50205i	0.0999170	−	0.197049i
$523$	−3.36840	−	0.670016i	−0.147290	−	0.0292977i	0.120895	−	0.992665i	$-0.461424\pi$
$523$	−3.36840	−	0.670016i	−0.147290	−	0.0292977i	−0.268184	+	0.963368i	$0.586424\pi$
$524$	1.08682	−	10.2799i	0.0474781	−	0.449079i
$525$	11.9898	+	9.11654i	0.523279	+	0.397878i
$526$	−22.0063	+	5.42866i	−0.959519	+	0.236701i
$527$	7.14475	+	7.14475i	0.311230	+	0.311230i
$528$	−8.74250	+	11.1626i	−0.380468	+	0.485789i
$529$	11.0447	−	11.0447i	0.480203	−	0.480203i
$530$	−5.76595	+	9.54230i	−0.250457	+	0.414491i
$531$	−29.9416	−	25.7952i	−1.29935	−	1.11942i
$532$	−20.5298	+	6.06752i	−0.890078	+	0.263060i
$533$	−6.52823	+	32.8196i	−0.282769	+	1.42158i
$534$	−38.4695	+	15.2387i	−1.66474	+	0.659442i
$535$	0.181016	−	0.0749793i	0.00782600	−	0.00324164i
$536$	23.3445	−	13.6537i	1.00833	−	0.589749i
$537$	−13.8998	+	28.5017i	−0.599821	+	1.22994i
$538$	15.4624	−	0.704162i	0.666632	−	0.0303586i
$539$	−0.307354	+	0.205368i	−0.0132387	+	0.00884581i
$540$	8.58227	+	10.3294i	0.369322	+	0.444508i
$541$	0.0612320	+	0.307834i	0.00263257	+	0.0132348i	0.982079	−	0.188468i	$-0.0603523\pi$
$541$	0.0612320	+	0.307834i	0.00263257	+	0.0132348i	−0.979447	+	0.201703i	$0.935352\pi$
$542$	0.339843	−	2.23588i	0.0145975	−	0.0960392i
$543$	1.22170	−	19.9875i	0.0524281	−	0.857745i
$544$	4.71101	+	4.42590i	0.201983	+	0.189759i
$545$	6.29470			0.269635
$546$	−28.0644	−	6.03712i	−1.20104	−	0.258365i
$547$	−3.41609	+	0.679502i	−0.146061	+	0.0290534i	−0.267579	−	0.963536i	$-0.586224\pi$
$547$	−3.41609	+	0.679502i	−0.146061	+	0.0290534i	0.121518	+	0.992589i	$0.461224\pi$
$548$	−31.1575	+	2.84373i	−1.33098	+	0.121478i
$549$	−38.1043	+	19.2099i	−1.62625	+	0.819858i
$550$	9.62794	−	0.438458i	0.410537	−	0.0186959i
$551$	1.86624	−	4.50550i	0.0795044	−	0.191941i
$552$	8.67449	−	10.0938i	0.369211	−	0.429621i
$553$	5.13413	+	12.3949i	0.218325	+	0.527084i
$554$	−13.4005	+	6.27937i	−0.569331	+	0.266785i
$555$	0.0349857	−	0.132906i	0.00148506	−	0.00564156i
$556$	8.79946	−	16.1829i	0.373180	−	0.686310i
$557$	−0.904981	+	1.35440i	−0.0383453	+	0.0573878i	−0.850147	−	0.526545i	$-0.823487\pi$
$557$	−0.904981	+	1.35440i	−0.0383453	+	0.0573878i	0.811802	+	0.583933i	$0.198487\pi$
$558$	−23.1684	+	29.5074i	−0.980795	+	1.24915i
$559$	27.2445	+	27.2445i	1.15232	+	1.15232i
$560$	5.34358	−	12.3957i	0.225808	−	0.523812i
$561$	3.03345	−	2.68398i	0.128072	−	0.113318i
$562$	−35.3723	+	8.72589i	−1.49209	+	0.368079i
$563$	−6.98706	+	10.4569i	−0.294470	+	0.440705i	−0.948974	−	0.315353i	$-0.897877\pi$
$563$	−6.98706	+	10.4569i	−0.294470	+	0.440705i	0.654505	+	0.756058i	$0.272877\pi$
$564$	−20.6972	−	29.0516i	−0.871510	−	1.22329i
$565$	−0.0400537	+	0.201364i	−0.00168507	+	0.00847143i
$566$	6.58143	+	2.38148i	0.276638	+	0.100101i
$567$	3.47756	+	23.2438i	0.146044	+	0.976149i
$568$	−0.188041	+	3.13953i	−0.00789004	+	0.131732i
$569$	−15.5362	+	37.5077i	−0.651311	+	1.57240i	0.159565	+	0.987187i	$0.448991\pi$
$569$	−15.5362	+	37.5077i	−0.651311	+	1.57240i	−0.810877	+	0.585217i	$0.801009\pi$
$570$	9.03071	+	9.31580i	0.378255	+	0.390196i
$571$	25.4790	−	17.0245i	1.06626	−	0.712455i	0.106799	−	0.994281i	$-0.465940\pi$
$571$	25.4790	−	17.0245i	1.06626	−	0.712455i	0.959466	+	0.281826i	$0.0909399\pi$
$572$	−16.2612	+	8.54271i	−0.679914	+	0.357189i
$573$	−6.71236	+	0.913781i	−0.280413	+	0.0381738i
$574$	−16.3245	−	22.1765i	−0.681372	−	0.925629i
$575$	−9.04682			−0.377278
$576$	−14.2254	+	19.3297i	−0.592726	+	0.805404i
$577$	−23.7137			−0.987213			−0.493607	−	0.869685i	$-0.664322\pi$
$577$	−23.7137			−0.987213			−0.493607	+	0.869685i	$0.664322\pi$
$578$	13.1577	+	17.8745i	0.547289	+	0.743480i
$579$	42.3000	−	5.75848i	1.75793	−	0.239314i
$580$	1.43008	+	2.72218i	0.0593810	+	0.113033i
$581$	−29.7238	+	19.8608i	−1.23315	+	0.823964i
$582$	−8.22937	−	8.48917i	−0.341118	−	0.351888i
$583$	−4.77781	+	11.5347i	−0.197877	+	0.477717i
$584$	14.6084	+	16.4698i	0.604500	+	0.681527i
$585$	4.65075	+	16.7649i	0.192285	+	0.693145i
$586$	23.8335	+	8.62409i	0.984552	+	0.356258i
$587$	−7.19665	+	36.1800i	−0.297037	+	1.49331i	0.487443	+	0.873155i	$0.337930\pi$
$587$	−7.19665	+	36.1800i	−0.297037	+	1.49331i	−0.784481	+	0.620153i	$0.787070\pi$
$588$	−0.509603	+	0.363056i	−0.0210157	+	0.0149722i
$589$	−20.1366	+	30.1366i	−0.829715	+	1.24176i
$590$	23.3744	−	5.76617i	0.962309	−	0.237389i
$591$	−12.0778	+	10.6864i	−0.496815	+	0.439579i
$592$	0.245584	+	0.00351564i	0.0100934	+	0.000144492i
$593$	−23.0441	−	23.0441i	−0.946309	−	0.946309i	0.0523217	−	0.998630i	$-0.483338\pi$
$593$	−23.0441	−	23.0441i	−0.946309	−	0.946309i	−0.998630	+	0.0523217i	$0.983338\pi$
$594$	11.2397	+	9.99164i	0.461171	+	0.409962i
$595$	−2.14230	+	3.20619i	−0.0878259	+	0.131441i
$596$	−4.95961	−	2.69678i	−0.203154	−	0.110465i
$597$	6.28599	−	23.8797i	0.257268	−	0.977330i
$598$	15.6129	−	7.31608i	0.638458	−	0.299177i
$599$	8.82983	+	21.3171i	0.360777	+	0.870993i	0.995187	+	0.0979957i	$0.0312432\pi$
$599$	8.82983	+	21.3171i	0.360777	+	0.870993i	−0.634410	+	0.772997i	$0.718757\pi$
$600$	16.2675	−	1.23019i	0.664117	−	0.0502224i
$601$	−1.23260	+	2.97577i	−0.0502789	+	0.121384i	−0.947023	−	0.321165i	$-0.895926\pi$
$601$	−1.23260	+	2.97577i	−0.0502789	+	0.121384i	0.896744	+	0.442549i	$0.145926\pi$
$602$	−31.6738	+	1.44243i	−1.29093	+	0.0587892i
$603$	−12.9130	−	25.6139i	−0.525857	−	1.04308i
$604$	−3.10013	−	33.9667i	−0.126142	−	1.38208i
$605$	8.63344	−	1.71730i	0.350999	−	0.0698181i
$606$	45.6868	+	9.82800i	1.85590	+	0.399235i
$607$	2.53491			0.102889			0.0514443	−	0.998676i	$-0.483618\pi$
$607$	2.53491			0.102889			0.0514443	+	0.998676i	$0.483618\pi$
$608$	−12.2743	+	19.6715i	−0.497790	+	0.797786i
$609$	−0.328314	+	5.37136i	−0.0133040	+	0.217659i
$610$	3.90628	−	25.7000i	0.158161	−	1.04056i
$611$	−9.01534	−	45.3232i	−0.364722	−	1.83358i
$612$	4.99623	−	4.69496i	0.201961	−	0.189783i
$613$	−1.32970	+	0.888475i	−0.0537059	+	0.0358852i	−0.582133	−	0.813093i	$-0.697782\pi$
$613$	−1.32970	+	0.888475i	−0.0537059	+	0.0358852i	0.528427	+	0.848978i	$0.322782\pi$
$614$	−42.9984	+	1.95816i	−1.73527	+	0.0790248i
$615$	−7.31554	+	15.0006i	−0.294991	+	0.604882i
$616$	3.83005	−	14.6226i	0.154317	−	0.589160i
$617$	13.5621	−	5.61761i	0.545990	−	0.226156i	−0.0926005	−	0.995703i	$-0.529518\pi$
$617$	13.5621	−	5.61761i	0.545990	−	0.226156i	0.638590	+	0.769547i	$0.279518\pi$
$618$	−18.9082	+	7.49001i	−0.760601	+	0.301292i
$619$	−6.12148	+	30.7748i	−0.246043	+	1.23694i	0.638184	+	0.769884i	$0.279686\pi$
$619$	−6.12148	+	30.7748i	−0.246043	+	1.23694i	−0.884227	+	0.467058i	$0.845314\pi$
$620$	−6.47745	−	21.9168i	−0.260141	−	0.880198i
$621$	−10.1128	−	9.84911i	−0.405812	−	0.395231i
$622$	6.82379	−	11.2930i	0.273609	−	0.452807i
$623$	31.1924	−	31.1924i	1.24970	−	1.24970i
$624$	−27.0794	+	15.2784i	−1.08404	+	0.611627i
$625$	−1.93726	−	1.93726i	−0.0774904	−	0.0774904i
$626$	7.77035	−	1.91685i	0.310566	−	0.0766125i
$627$	11.5656	+	8.79398i	0.461886	+	0.351198i
$628$	25.1017	+	2.65383i	1.00167	+	0.105899i
$629$	−0.0688143	−	0.0136880i	−0.00274381	−	0.000545777i
$630$	−12.7694	−	6.47493i	−0.508745	−	0.257967i
$631$	−9.34186	−	22.5533i	−0.371894	−	0.897831i	−0.993430	−	0.114445i	$-0.963491\pi$
$631$	−9.34186	−	22.5533i	−0.371894	−	0.897831i	0.621536	−	0.783386i	$-0.286509\pi$
$632$	13.0685	+	6.35353i	0.519839	+	0.252730i
$633$	7.19110	−	14.7454i	0.285821	−	0.586078i
$634$	2.94163	+	2.68537i	0.116827	+	0.106650i
$635$	5.16491	+	7.72984i	0.204963	+	0.306749i
$636$	−7.49862	+	19.7581i	−0.297340	+	0.783459i
$637$	−0.795028	+	0.158141i	−0.0315001	+	0.00626577i
$638$	2.04134	+	2.77311i	0.0808173	+	0.109789i
$639$	3.31111	+	0.406289i	0.130986	+	0.0160725i
$640$	−4.57907	−	13.8846i	−0.181004	−	0.548839i
$641$			25.6457i			1.01294i	0.862257	+	0.506471i	$0.169050\pi$
$641$			25.6457i			1.01294i	−0.862257	+	0.506471i	$0.830950\pi$
$642$	0.311967	−	0.201509i	0.0123123	−	0.00795293i
$643$	2.30604	+	11.5932i	0.0909413	+	0.457193i	0.999244	+	0.0388792i	$0.0123787\pi$
$643$	2.30604	+	11.5932i	0.0909413	+	0.457193i	−0.908303	+	0.418314i	$0.862621\pi$
$644$	−4.21586	+	13.5480i	−0.166128	+	0.533865i
$645$	9.68140	+	16.5995i	0.381205	+	0.653603i
$646$	4.46575	−	4.89190i	0.175703	−	0.192469i
$647$	24.1409	+	9.99948i	0.949076	+	0.393120i	0.802883	−	0.596136i	$-0.203298\pi$
$647$	24.1409	+	9.99948i	0.949076	+	0.393120i	0.146192	+	0.989256i	$0.453298\pi$
$648$	19.5235	+	16.3350i	0.766957	+	0.641699i
$649$	24.9077	−	10.3171i	0.977715	−	0.404983i
$650$	19.8737	+	7.19127i	0.779513	+	0.282065i
$651$	10.1815	−	38.6782i	0.399044	−	1.51592i
$652$	2.10337	−	19.8950i	0.0823742	−	0.779149i
$653$	−17.3235	−	11.5752i	−0.677920	−	0.452972i	0.168349	−	0.985727i	$-0.446156\pi$
$653$	−17.3235	−	11.5752i	−0.677920	−	0.452972i	−0.846269	+	0.532756i	$0.821156\pi$
$654$	11.7372	−	2.14564i	0.458959	−	0.0839013i
$655$	4.72288	−	4.72288i	0.184538	−	0.184538i
$656$	−29.1662	−	6.23681i	−1.13875	−	0.243507i
$657$	18.3993	−	14.3774i	0.717824	−	0.560917i
$658$	32.5475	+	19.6669i	1.26883	+	0.766695i
$659$	12.8042	+	8.55549i	0.498781	+	0.333275i	0.779381	−	0.626550i	$-0.215534\pi$
$659$	12.8042	+	8.55549i	0.498781	+	0.333275i	−0.280600	+	0.959825i	$0.590534\pi$
$660$	−8.92763	+	2.05572i	−0.347508	+	0.0800188i
$661$	1.78059	+	0.354181i	0.0692569	+	0.0137760i	0.229597	−	0.973286i	$-0.426259\pi$
$661$	1.78059	+	0.354181i	0.0692569	+	0.0137760i	−0.160340	+	0.987062i	$0.551259\pi$
$662$	−8.01246	+	3.75458i	−0.311413	+	0.145926i
$663$	8.39800	−	2.89203i	0.326151	−	0.112317i
$664$	−9.81076	+	37.4560i	−0.380731	+	1.45357i
$665$	−12.7792	−	5.29331i	−0.495555	−	0.205266i
$666$	0.0199316	−	0.259744i	0.000772335	−	0.0100649i
$667$	−1.79574	−	2.68751i	−0.0695312	−	0.104061i
$668$	−22.4051	−	18.6574i	−0.866881	−	0.721876i
$669$	−14.2692	+	1.94253i	−0.551679	+	0.0751024i
$670$	17.2757	+	2.62582i	0.667417	+	0.101444i
$671$		−	29.1101i		−	1.12378i
$672$	5.73846	−	24.9345i	0.221366	−	0.961870i
$673$		−	17.4354i		−	0.672087i	−0.941847	−	0.336043i	$-0.890911\pi$
$673$		−	17.4354i		−	0.672087i	0.941847	−	0.336043i	$-0.109089\pi$
$674$	1.39069	−	9.14956i	0.0535674	−	0.352428i
$675$	−0.228539	−	17.3020i	−0.00879647	−	0.665956i
$676$	−14.2210	+	1.29794i	−0.546961	+	0.0499209i
$677$	−25.7716	−	38.5699i	−0.990482	−	1.48236i	−0.872060	−	0.489398i	$-0.837216\pi$
$677$	−25.7716	−	38.5699i	−0.990482	−	1.48236i	−0.118422	−	0.992963i	$-0.537784\pi$
$678$	−0.00604675	+	0.389118i	−0.000232224	+	0.0149440i
$679$	11.6452	+	4.82361i	0.446903	+	0.185113i
$680$	0.568436	+	4.13766i	0.0217985	+	0.158672i
$681$	−0.673505	−	1.95575i	−0.0258088	−	0.0749445i
$682$	−10.8593	−	23.1743i	−0.415824	−	0.887389i
$683$	20.4056	+	4.05892i	0.780797	+	0.155310i	0.569368	−	0.822083i	$-0.307188\pi$
$683$	20.4056	+	4.05892i	0.780797	+	0.155310i	0.211430	+	0.977393i	$0.432188\pi$
$684$	20.0142	+	14.2921i	0.765261	+	0.546472i
$685$	−16.8085	−	11.2311i	−0.642221	−	0.429118i
$686$	13.7146	−	22.6968i	0.523624	−	0.866567i
$687$	−8.12888	+	7.19240i	−0.310136	+	0.274407i
$688$	−24.6284	+	23.9332i	−0.938950	+	0.912446i
$689$	−19.3593	+	19.3593i	−0.737530	+	0.737530i
$690$	8.45920	−	1.54641i	0.322036	−	0.0588707i
$691$	−29.6670	−	19.8229i	−1.12859	−	0.754098i	−0.156259	−	0.987716i	$-0.549943\pi$
$691$	−29.6670	−	19.8229i	−1.12859	−	0.754098i	−0.972328	+	0.233618i	$0.924943\pi$
$692$	8.93719	+	11.0503i	0.339741	+	0.420071i
$693$	−15.2267	−	5.01968i	−0.578414	−	0.190682i
$694$	−4.76474	+	13.1678i	−0.180867	+	0.499843i
$695$	10.9961	−	4.55473i	0.417105	−	0.172771i
$696$	3.59445	+	4.58835i	0.136247	+	0.173921i
$697$	7.87164	+	3.26054i	0.298160	+	0.123502i
$698$	15.1409	+	13.8219i	0.573091	+	0.523168i
$699$	12.1578	−	7.09087i	0.459851	−	0.268201i
$700$	−15.3969	+	8.08865i	−0.581947	+	0.305722i
$701$	3.58640	+	18.0301i	0.135457	+	0.680986i	0.987513	+	0.157537i	$0.0503552\pi$
$701$	3.58640	+	18.0301i	0.135457	+	0.680986i	−0.852057	+	0.523450i	$0.824645\pi$
$702$	14.3864	+	29.6748i	0.542980	+	1.12000i
$703$		−	0.251681i		−	0.00949232i
$704$	−7.40598	−	14.6013i	−0.279123	−	0.550307i
$705$	1.40612	−	23.0047i	0.0529575	−	0.866407i
$706$	−28.6363	+	21.0797i	−1.07774	+	0.793346i
$707$	−48.8635	+	9.71954i	−1.83770	+	0.365541i
$708$	41.6187	−	18.7192i	1.56413	−	0.703510i
$709$	11.9011	+	17.8112i	0.446954	+	0.668913i	0.984713	−	0.174185i	$-0.0557291\pi$
$709$	11.9011	+	17.8112i	0.446954	+	0.668913i	−0.537759	+	0.843098i	$0.680729\pi$
$710$	−1.37011	+	1.50085i	−0.0514192	+	0.0563260i
$711$	7.58848	−	13.4151i	0.284590	−	0.503104i
$712$	2.85658	−	47.6934i	0.107055	−	1.78739i
$713$	9.19314	+	22.1942i	0.344286	+	0.831179i
$714$	−2.90169	+	6.70852i	−0.108593	+	0.251060i
$715$	−11.6404	−	2.31542i	−0.435327	−	0.0865919i
$716$	−23.0258	−	28.4701i	−0.860514	−	1.06398i
$717$	11.6964	−	15.3828i	0.436810	−	0.574481i
$718$	−6.99543	−	28.3575i	−0.261067	−	1.05829i
$719$	3.30351	+	3.30351i	0.123200	+	0.123200i	0.766019	−	0.642819i	$-0.222235\pi$
$719$	3.30351	+	3.30351i	0.123200	+	0.123200i	−0.642819	+	0.766019i	$0.722235\pi$
$720$	−15.0006	+	3.93095i	−0.559039	+	0.146498i
$721$	15.3314	−	15.3314i	0.570973	−	0.570973i
$722$	−2.66183	−	1.60841i	−0.0990629	−	0.0598589i
$723$	−22.4485	−	17.0688i	−0.834867	−	0.634796i
$724$	20.3138	+	11.0456i	0.754957	+	0.410507i
$725$	0.772948	−	3.88587i	0.0287066	−	0.144318i
$726$	15.5126	−	6.14493i	0.575728	−	0.228060i
$727$	−23.4615	+	9.71808i	−0.870140	+	0.360424i	−0.772665	−	0.634814i	$-0.781077\pi$
$727$	−23.4615	+	9.71808i	−0.870140	+	0.360424i	−0.0974751	+	0.995238i	$0.531077\pi$
$728$	20.0305	−	26.4106i	0.742379	−	0.978842i
$729$	18.5809	−	19.5895i	0.688183	−	0.725537i
$730$	0.647118	+	14.2098i	0.0239509	+	0.525929i
$731$	8.15699	−	5.45033i	0.301697	−	0.201588i
$732$	−1.47654	−	49.2520i	−0.0545746	−	1.82041i
$733$	8.86249	+	44.5547i	0.327343	+	1.64567i	0.697418	+	0.716665i	$0.254332\pi$
$733$	8.86249	+	44.5547i	0.327343	+	1.64567i	−0.370074	+	0.929002i	$0.620668\pi$
$734$	34.9028	+	5.30506i	1.28829	+	0.195813i
$735$	−0.403532	−	0.0246652i	−0.0148845	−	0.000909788i
$736$	6.32105	+	14.0079i	0.232997	+	0.516336i
$737$	19.5679			0.720794
$738$	−8.52746	+	30.4638i	−0.313900	+	1.12139i
$739$	−22.4667	+	4.46891i	−0.826452	+	0.164391i	−0.590155	−	0.807290i	$-0.700934\pi$
$739$	−22.4667	+	4.46891i	−0.826452	+	0.164391i	−0.236296	+	0.971681i	$0.575934\pi$
$740$	0.121949	+	0.101551i	0.00448294	+	0.00373307i
$741$	16.0517	+	27.5219i	0.589675	+	1.01104i
$742$	−1.02496	−	22.5067i	−0.0376275	−	0.826247i
$743$	13.0905	−	31.6033i	0.480244	−	1.15941i	−0.479249	−	0.877679i	$-0.659091\pi$
$743$	13.0905	−	31.6033i	0.480244	−	1.15941i	0.959493	−	0.281733i	$-0.0909092\pi$
$744$	−19.5486	−	38.6583i	−0.716686	−	1.41728i
$745$	−1.39589	−	3.36999i	−0.0511416	−	0.123467i
$746$	9.02156	+	19.2524i	0.330303	+	0.704882i
$747$	39.0035	+	12.8580i	1.42706	+	0.470451i
$748$	1.32559	+	4.48519i	0.0484683	+	0.163995i
$749$	−0.219970	+	0.329208i	−0.00803753	+	0.0120290i
$750$	21.6937	+	14.9880i	0.792144	+	0.547286i
$751$	−5.16035	−	5.16035i	−0.188304	−	0.188304i	0.606659	−	0.794962i	$-0.292509\pi$
$751$	−5.16035	−	5.16035i	−0.188304	−	0.188304i	−0.794962	+	0.606659i	$0.792509\pi$
$752$	40.5080	−	7.45641i	1.47717	−	0.271907i
$753$	6.70051	+	7.57295i	0.244180	+	0.275974i
$754$	1.80853	+	7.33126i	0.0658627	+	0.266989i
$755$	12.2437	−	18.3240i	0.445594	−	0.666878i
$756$	−26.0170	−	7.72058i	−0.946230	−	0.280795i
$757$	4.91085	−	24.6885i	0.178488	−	0.897320i	−0.782905	−	0.622141i	$-0.786263\pi$
$757$	4.91085	−	24.6885i	0.178488	−	0.897320i	0.961393	−	0.275179i	$-0.0887371\pi$
$758$	11.3727	−	31.4296i	0.413076	−	1.14158i
$759$	9.10505	−	3.13552i	0.330492	−	0.113812i
$760$	−14.1593	+	4.89545i	−0.513611	+	0.177577i
$761$	−10.5295	+	25.4204i	−0.381693	+	0.921490i	0.609945	+	0.792444i	$0.291191\pi$
$761$	−10.5295	+	25.4204i	−0.381693	+	0.921490i	−0.991639	+	0.129046i	$0.958809\pi$
$762$	12.2654	+	12.6526i	0.444328	+	0.458355i
$763$	−10.5766	+	7.06703i	−0.382897	+	0.255844i
$764$	2.32420	−	7.46899i	0.0840865	−	0.270219i
$765$	4.41767	−	0.328639i	0.159721	−	0.0118820i
$766$	16.1406	−	11.8814i	0.583183	−	0.429292i
$767$	59.1200			2.13470
$768$	−13.2710	−	24.3286i	−0.478875	−	0.877883i
$769$	15.5651			0.561290			0.280645	−	0.959812i	$-0.409452\pi$
$769$	15.5651			0.561290			0.280645	+	0.959812i	$0.409452\pi$
$770$	7.86552	−	5.78995i	0.283454	−	0.208655i
$771$	−0.336574	−	2.47237i	−0.0121214	−	0.0890402i
$772$	−14.6467	+	47.0682i	−0.527145	+	1.69402i
$773$	25.0623	−	16.7461i	0.901427	−	0.602314i	−0.0161514	−	0.999870i	$-0.505141\pi$
$773$	25.0623	−	16.7461i	0.901427	−	0.602314i	0.917578	+	0.397555i	$0.130141\pi$
$774$	23.7102	+	27.6515i	0.852246	+	0.993912i
$775$	−11.2687	+	27.2051i	−0.404784	+	0.977235i
$776$	12.9029	−	4.46105i	0.463186	−	0.160142i
$777$	0.0904292	+	0.262592i	0.00324413	+	0.00942043i
$778$	−13.5510	+	37.4495i	−0.485828	+	1.34263i
$779$	−5.96254	+	29.9757i	−0.213630	+	1.07399i
$780$	−19.8121	−	3.32708i	−0.709388	−	0.119129i
$781$	−1.26430	+	1.89216i	−0.0452404	+	0.0677070i
$782$	−1.05147	−	4.26236i	−0.0376005	−	0.152422i
$783$	5.09450	−	3.50224i	0.182063	−	0.125160i
$784$	−0.130795	−	0.710563i	−0.00467126	−	0.0253772i
$785$	11.5324	+	11.5324i	0.411610	+	0.411610i
$786$	7.19646	−	10.4162i	0.256689	−	0.371533i
$787$	20.6032	−	30.8348i	0.734424	−	1.09914i	−0.256738	−	0.966481i	$-0.582648\pi$
$787$	20.6032	−	30.8348i	0.734424	−	1.09914i	0.991161	−	0.132662i	$-0.0423524\pi$
$788$	−5.27788	−	17.8580i	−0.188017	−	0.636164i
$789$	−26.8455	−	7.06670i	−0.955725	−	0.251581i
$790$	3.98392	+	8.50187i	0.141741	+	0.302483i
$791$	−0.158770	−	0.383306i	−0.00564523	−	0.0136288i
$792$	−15.9458	+	6.87623i	−0.566610	+	0.244336i
$793$	24.4286	−	58.9758i	0.867484	−	2.09429i
$794$	1.14487	+	25.1398i	0.0406299	+	0.892176i
$795$	−11.7952	+	6.87938i	−0.418333	+	0.243986i
$796$	21.9110	+	18.2459i	0.776614	+	0.646708i
$797$	−1.67847	+	0.333869i	−0.0594545	+	0.0118262i	−0.224728	−	0.974422i	$-0.572149\pi$
$797$	−1.67847	+	0.333869i	−0.0594545	+	0.0118262i	0.165273	+	0.986248i	$0.447149\pi$
$798$	−25.6325	−	5.51398i	−0.907380	−	0.195193i
$799$	−11.7662			−0.416259
$800$	−6.66256	+	17.6201i	−0.235557	+	0.622966i
$801$	−50.2999	−	6.17203i	−1.77726	−	0.218078i
$802$	6.20252	+	0.942754i	0.219019	+	0.0332898i
$803$	3.10760	+	15.6229i	0.109665	+	0.551322i
$804$	33.1074	−	0.992539i	1.16761	−	0.0350041i
$805$	−7.62273	+	5.09335i	−0.268666	+	0.179517i
$806$	−2.55312	−	56.0631i	−0.0899299	−	1.97474i
$807$	17.0389	+	8.30960i	0.599798	+	0.292512i
$808$	−32.6082	+	42.9946i	−1.14715	+	1.51254i
$809$	−27.5203	+	11.3993i	−0.967562	+	0.400777i	−0.809804	−	0.586700i	$-0.800427\pi$
$809$	−27.5203	+	11.3993i	−0.967562	+	0.400777i	−0.157758	+	0.987478i	$0.550427\pi$
$810$	3.17120	+	16.1392i	0.111425	+	0.567072i
$811$	4.89320	−	24.5998i	0.171824	−	0.863816i	−0.794654	−	0.607063i	$-0.792347\pi$
$811$	4.89320	−	24.5998i	0.171824	−	0.863816i	0.966477	−	0.256753i	$-0.0826525\pi$
$812$	−5.45906	−	2.96836i	−0.191575	−	0.104169i
$813$	1.67648	−	2.20486i	0.0587966	−	0.0773277i
$814$	0.152100	+	0.0919065i	0.00533109	+	0.00322132i
$815$	9.14034	−	9.14034i	0.320172	−	0.320172i
$816$	2.47029	+	7.52137i	0.0864776	+	0.263300i
$817$	24.8837	+	24.8837i	0.870569	+	0.870569i
$818$	−3.19170	−	12.9382i	−0.111595	−	0.452375i
$819$	−26.6362	−	22.9476i	−0.930746	−	0.801854i
$820$	−12.1186	−	14.9840i	−0.423199	−	0.523263i
$821$	−39.4499	−	7.84707i	−1.37681	−	0.273865i	−0.549446	−	0.835529i	$-0.685161\pi$
$821$	−39.4499	−	7.84707i	−1.37681	−	0.273865i	−0.827365	+	0.561665i	$0.810161\pi$
$822$	−35.1696	−	15.2122i	−1.22668	−	0.530586i
$823$	11.5055	+	27.7766i	0.401055	+	0.968233i	0.987411	+	0.158179i	$0.0505622\pi$
$823$	11.5055	+	27.7766i	0.401055	+	0.968233i	−0.586355	+	0.810054i	$0.699438\pi$
$824$	1.40405	−	23.4419i	0.0489123	−	0.816638i
$825$	10.6096	+	5.17411i	0.369377	+	0.180139i
$826$	−32.8008	+	35.9308i	−1.14129	+	1.25019i
$827$	−17.6060	−	26.3493i	−0.612222	−	0.916255i	0.387763	−	0.921759i	$-0.373248\pi$
$827$	−17.6060	−	26.3493i	−0.612222	−	0.916255i	−0.999985	+	0.00550412i	$0.998248\pi$
$828$	15.2460	−	5.76689i	0.529835	−	0.200413i
$829$	19.5562	−	3.88998i	0.679216	−	0.135104i	0.156586	−	0.987664i	$-0.449951\pi$
$829$	19.5562	−	3.88998i	0.679216	−	0.135104i	0.522630	+	0.852560i	$0.324951\pi$
$830$	−20.1477	+	14.8311i	−0.699337	+	0.514795i
$831$	−18.0909	−	1.10577i	−0.627568	−	0.0383589i
$832$	−2.75110	−	35.7966i	−0.0953774	−	1.24102i
$833$			0.206395i			0.00715116i
$834$	18.9509	−	12.2410i	0.656215	−	0.423870i
$835$	−3.67525	−	18.4767i	−0.127187	−	0.639414i
$836$	−14.8521	+	7.80246i	−0.513671	+	0.269854i
$837$	−42.2142	+	18.1425i	−1.45913	+	0.627098i
$838$	19.4626	+	17.7671i	0.672324	+	0.613755i
$839$	−7.65012	−	3.16878i	−0.264111	−	0.109398i	0.246698	−	0.969092i	$-0.420654\pi$
$839$	−7.65012	−	3.16878i	−0.264111	−	0.109398i	−0.510810	+	0.859694i	$0.670654\pi$
$840$	13.0142	−	10.1951i	0.449032	−	0.351765i
$841$	−25.4847	+	10.5561i	−0.878783	+	0.364004i
$842$	−16.3529	+	45.1929i	−0.563560	+	1.55745i
$843$	−43.1507	−	11.3588i	−1.48619	−	0.391219i
$844$	11.9125	+	14.7291i	0.410044	+	0.506996i
$845$	−7.67179	−	5.12612i	−0.263918	−	0.176344i
$846$	−5.21963	−	43.3741i	−0.179455	−	1.49123i
$847$	−12.5782	+	12.5782i	−0.432191	+	0.432191i
$848$	−17.0064	−	17.5004i	−0.584003	−	0.600966i
$849$	5.68026	+	6.41986i	0.194946	+	0.220329i
$850$	2.78305	−	4.60578i	0.0954579	−	0.157977i
$851$	−0.138699	−	0.0926757i	−0.00475454	−	0.00317688i
$852$	−2.04313	+	3.26553i	−0.0699965	+	0.111875i
$853$	−55.8815	−	11.1155i	−1.91335	−	0.380588i	−0.913681	−	0.406432i	$-0.866773\pi$
$853$	−55.8815	−	11.1155i	−1.91335	−	0.380588i	−0.999666	+	0.0258431i	$0.991773\pi$
$854$	22.2898	+	47.5675i	0.762742	+	1.62773i
$855$	4.24775	+	15.3122i	0.145270	+	0.523666i
$856$	0.0583665	+	0.424852i	0.00199493	+	0.0145211i
$857$	31.3260	+	12.9757i	1.07008	+	0.443240i	0.847017	−	0.531565i	$-0.178396\pi$
$857$	31.3260	+	12.9757i	1.07008	+	0.443240i	0.223059	+	0.974805i	$0.428396\pi$
$858$	−22.4941	−	0.349550i	−0.767935	−	0.0119334i
$859$	−18.1779	−	27.2051i	−0.620222	−	0.928228i	−0.999995	−	0.00314800i	$-0.998998\pi$
$859$	−18.1779	−	27.2051i	−0.620222	−	0.928228i	0.379773	−	0.925080i	$-0.376002\pi$
$860$	−22.0974	+	2.01682i	−0.753515	+	0.0687731i
$861$	−4.54927	−	33.4176i	−0.155039	−	1.13887i
$862$	−5.04740	+	33.2076i	−0.171915	+	1.13106i
$863$		−	3.46027i		−	0.117789i	−0.998264	−	0.0588944i	$-0.981242\pi$
$863$		−	3.46027i		−	0.117789i	0.998264	−	0.0588944i	$-0.0187575\pi$
$864$	−26.6303	+	12.4429i	−0.905982	+	0.423315i
$865$			9.18284i			0.312226i
$866$	32.8932	+	4.99962i	1.11776	+	0.169894i
$867$	3.66676	+	26.9349i	0.124530	+	0.914757i
$868$	35.4895	+	29.5531i	1.20459	+	1.00310i
$869$	5.84129	+	8.74211i	0.198152	+	0.296556i
$870$	−0.0585161	+	3.76560i	−0.00198388	+	0.127666i
$871$	39.6438	+	16.4210i	1.34328	+	0.556404i
$872$	−3.49095	+	13.3279i	−0.118218	+	0.451340i
$873$	−3.87083	−	13.9535i	−0.131008	−	0.472254i
$874$	14.2600	−	6.68212i	0.482351	−	0.226026i
$875$	−27.5705	−	5.48411i	−0.932052	−	0.185397i
$876$	6.05026	+	26.2752i	0.204419	+	0.887757i
$877$	−26.1392	−	17.4657i	−0.882660	−	0.589774i	0.0295204	−	0.999564i	$-0.490602\pi$
$877$	−26.1392	−	17.4657i	−0.882660	−	0.589774i	−0.912180	+	0.409790i	$0.865602\pi$
$878$	−21.2494	−	12.8400i	−0.717133	−	0.433329i
$879$	20.5701	+	23.2484i	0.693811	+	0.784149i
$880$	2.21206	−	10.3446i	0.0745686	−	0.348718i
$881$	38.5303	−	38.5303i	1.29812	−	1.29812i	0.368487	−	0.929633i	$-0.379876\pi$
$881$	38.5303	−	38.5303i	1.29812	−	1.29812i	0.929633	−	0.368487i	$-0.120124\pi$
$882$	−0.760838	+	0.0915592i	−0.0256187	+	0.00308296i
$883$	−3.73238	−	2.49390i	−0.125605	−	0.0839264i	0.491181	−	0.871058i	$-0.336565\pi$
$883$	−3.73238	−	2.49390i	−0.125605	−	0.0839264i	−0.616786	+	0.787131i	$0.711565\pi$
$884$	−1.07830	+	10.1992i	−0.0362670	+	0.343037i
$885$	28.5145	+	7.50604i	0.958505	+	0.252313i
$886$	−36.4687	−	13.1961i	−1.22519	−	0.443332i
$887$	−12.2734	+	5.08379i	−0.412099	+	0.170697i	−0.579094	−	0.815261i	$-0.696594\pi$
$887$	−12.2734	+	5.08379i	−0.412099	+	0.170697i	0.166995	+	0.985958i	$0.446594\pi$
$888$	0.262003	+	0.147784i	0.00879224	+	0.00495930i
$889$	−17.3565	−	7.18930i	−0.582119	−	0.241121i
$890$	20.8136	−	22.7998i	0.697675	−	0.764251i
$891$	6.22669	+	17.3342i	0.208602	+	0.580717i
$892$	4.94080	−	15.8777i	0.165430	−	0.531623i
$893$	−8.23413	−	41.3958i	−0.275545	−	1.38526i
$894$	−3.75151	−	5.80790i	−0.125469	−	0.194245i
$895$		−	23.6587i		−	0.790822i
$896$	23.2821	+	18.1885i	0.777801	+	0.607636i
$897$	21.0777	+	1.28834i	0.703765	+	0.0430163i
$898$	34.5376	+	46.9185i	1.15253	+	1.56569i
$899$	−10.3185	+	2.05248i	−0.344141	+	0.0684540i
$900$	18.2130	+	8.21605i	0.607100	+	0.273868i
$901$	3.87288	+	5.79617i	0.129024	+	0.193099i
$902$	−15.9381	−	14.5496i	−0.530679	−	0.484450i
$903$	−34.9031	−	17.0217i	−1.16150	−	0.566447i
$904$	−0.404138	−	0.196480i	−0.0134414	−	0.00653482i
$905$	5.71737	+	13.8030i	0.190052	+	0.458826i
$906$	16.5837	−	38.3406i	0.550957	−	1.27378i
$907$	26.5178	+	5.27472i	0.880509	+	0.175144i	0.614586	−	0.788850i	$-0.289323\pi$
$907$	26.5178	+	5.27472i	0.880509	+	0.175144i	0.265924	+	0.963994i	$0.414323\pi$
$908$	2.37523	+	0.251117i	0.0788246	+	0.00833360i
$909$	43.3619	+	37.3571i	1.43822	+	1.23906i
$910$	20.7940	−	5.12962i	0.689316	−	0.170045i
$911$	−28.8865	−	28.8865i	−0.957054	−	0.957054i	0.0420610	−	0.999115i	$-0.486608\pi$
$911$	−28.8865	−	28.8865i	−0.957054	−	0.957054i	−0.999115	+	0.0420610i	$0.986608\pi$
$912$	−24.7328	+	13.9545i	−0.818986	+	0.462080i
$913$	−19.8100	+	19.8100i	−0.655616	+	0.655616i
$914$	−10.5546	+	17.4672i	−0.349114	+	0.577762i
$915$	19.2700	−	25.3434i	0.637047	−	0.837828i
$916$	−3.55224	−	12.0192i	−0.117369	−	0.397125i
$917$	−2.63318	+	13.2379i	−0.0869552	+	0.437153i
$918$	8.12520	−	2.11861i	0.268172	−	0.0699246i
$919$	28.2573	−	11.7046i	0.932123	−	0.386098i	0.135640	−	0.990758i	$-0.456691\pi$
$919$	28.2573	−	11.7046i	0.932123	−	0.386098i	0.796484	+	0.604660i	$0.206691\pi$
$920$	−2.51599	+	9.60568i	−0.0829498	+	0.316690i
$921$	−47.3823	−	23.1076i	−1.56130	−	0.761421i
$922$	−19.2360	+	0.876012i	−0.633505	+	0.0288499i
$923$	−4.14929	+	2.77247i	−0.136576	+	0.0912569i
$924$	12.6925	−	13.4771i	0.417554	−	0.443364i
$925$	−0.0398908	−	0.200545i	−0.00131160	−	0.00659387i
$926$	−3.94384	+	25.9471i	−0.129603	+	0.852676i
$927$	−24.7230	−	3.03363i	−0.812011	−	0.0996376i
$928$	−6.55684	+	1.51826i	−0.215239	+	0.0498394i
$929$	16.5949			0.544461			0.272230	−	0.962232i	$-0.412239\pi$
$929$	16.5949			0.544461			0.272230	+	0.962232i	$0.412239\pi$
$930$	5.88651	−	27.3642i	0.193026	−	0.897309i
$931$	−0.726136	+	0.144437i	−0.0237981	+	0.00473375i
$932$	1.47717	+	16.1846i	0.0483862	+	0.530145i
$933$	13.9592	−	8.14150i	0.457003	−	0.266541i
$934$	−21.8273	+	0.994022i	−0.714212	+	0.0325254i
$935$	−1.15644	+	2.79190i	−0.0378198	+	0.0913050i
$936$	−38.0760	+	0.549549i	−1.24455	+	0.0179626i
$937$	5.80976	+	14.0260i	0.189797	+	0.458209i	0.989920	−	0.141626i	$-0.0452329\pi$
$937$	5.80976	+	14.0260i	0.189797	+	0.458209i	−0.800124	+	0.599835i	$0.795233\pi$
$938$	−31.9751	+	14.9833i	−1.04402	+	0.489222i
$939$	9.47907	+	2.49523i	0.309338	+	0.0814288i
$940$	23.3803	+	12.7130i	0.762580	+	0.414652i
$941$	18.4125	−	27.5563i	0.600231	−	0.898308i	−0.399601	−	0.916689i	$-0.630851\pi$
$941$	18.4125	−	27.5563i	0.600231	−	0.898308i	0.999831	+	0.0183809i	$0.00585116\pi$
$942$	25.4345	+	17.5725i	0.828700	+	0.572542i
$943$	14.3238	+	14.3238i	0.466446	+	0.466446i
$944$	−0.754266	+	52.6890i	−0.0245493	+	1.71488i
$945$	−9.93359	−	14.4498i	−0.323140	−	0.470052i
$946$	−24.1249	+	5.95130i	−0.784367	+	0.193493i
$947$	6.53106	−	9.77442i	0.212231	−	0.317626i	−0.710046	−	0.704155i	$-0.751326\pi$
$947$	6.53106	−	9.77442i	0.212231	−	0.317626i	0.922277	+	0.386529i	$0.126326\pi$
$948$	10.3264	+	14.4947i	0.335387	+	0.470766i
$949$	−6.81460	+	34.2593i	−0.221211	+	1.11210i
$950$	18.1516	+	6.56812i	0.588917	+	0.213098i
$951$	1.58836	+	4.61234i	0.0515061	+	0.149565i
$952$	−5.60044	−	6.31405i	−0.181511	−	0.204640i
$953$	−2.27142	+	5.48369i	−0.0735784	+	0.177634i	−0.956390	−	0.292094i	$-0.905648\pi$
$953$	−2.27142	+	5.48369i	−0.0735784	+	0.177634i	0.882811	+	0.469728i	$0.155648\pi$
$954$	−19.6485	+	16.8479i	−0.636144	+	0.545472i
$955$	4.20240	−	2.80796i	0.135987	−	0.0908633i
$956$	10.3776	+	19.7540i	0.335637	+	0.638889i
$957$	0.568874	+	4.17878i	0.0183891	+	0.135081i
$958$	−12.9079	−	17.5351i	−0.417034	−	0.566532i
$959$	40.8513			1.31916
$960$	3.21793	−	17.6145i	0.103858	−	0.568507i
$961$	47.1921			1.52233
$962$	0.231022	+	0.313838i	0.00744844	+	0.0101185i
$963$	0.453602	−	0.0337444i	0.0146171	−	0.00108740i
$964$	28.8274	−	15.1443i	0.928469	−	0.487765i
$965$	−26.4828	+	17.6952i	−0.852510	+	0.569629i
$966$	−12.4773	+	12.0954i	−0.401450	+	0.389164i
$967$	6.88678	−	16.6262i	0.221464	−	0.534661i	−0.773625	−	0.633643i	$-0.781559\pi$
$967$	6.88678	−	16.6262i	0.221464	−	0.534661i	0.995089	+	0.0989822i	$0.0315587\pi$
$968$	−1.15190	+	19.2321i	−0.0370236	+	0.618145i
$969$	7.67028	−	2.64143i	0.246405	−	0.0848549i
$970$	8.29480	+	3.00145i	0.266330	+	0.0963709i
$971$	−1.42630	+	7.17048i	−0.0457720	+	0.230112i	−0.996899	−	0.0786875i	$-0.974927\pi$
$971$	−1.42630	+	7.17048i	−0.0457720	+	0.230112i	0.951127	+	0.308799i	$0.0999271\pi$
$972$	11.4143	+	29.0123i	0.366115	+	0.930570i
$973$	−13.3624	+	19.9983i	−0.428379	+	0.641115i
$974$	27.3682	−	6.75139i	0.876934	−	0.216329i
$975$	17.1525	+	19.3859i	0.549320	+	0.620844i
$976$	52.2488	+	22.5237i	1.67244	+	0.720966i
$977$	−32.3800	−	32.3800i	−1.03593	−	1.03593i	−0.999330	−	0.0365973i	$-0.988348\pi$
$977$	−32.3800	−	32.3800i	−1.03593	−	1.03593i	−0.0365973	−	0.999330i	$-0.511652\pi$
$978$	13.9275	−	20.1588i	0.445354	−	0.644607i
$979$	19.2063	−	28.7443i	0.613838	−	0.918673i
$980$	0.223002	−	0.410120i	0.00712355	−	0.0131008i
$981$	13.8786	+	4.57525i	0.443108	+	0.146076i
$982$	−17.4879	+	8.19469i	−0.558060	+	0.261503i
$983$	4.87795	+	11.7764i	0.155582	+	0.375609i	0.982381	−	0.186889i	$-0.0598404\pi$
$983$	4.87795	+	11.7764i	0.155582	+	0.375609i	−0.826799	+	0.562498i	$0.809840\pi$
$984$	−27.7040	−	23.8084i	−0.883170	−	0.758985i
$985$	4.60443	−	11.1161i	0.146709	−	0.354187i
$986$	1.92064	−	0.0874666i	0.0611658	−	0.00278550i
$987$	23.4647	+	40.2319i	0.746888	+	1.28059i
$988$	−36.6374	+	3.34389i	−1.16559	+	0.106383i
$989$	22.8760	−	4.55031i	0.727414	−	0.144692i
$990$	−10.8049	−	3.02451i	−0.343401	−	0.0961251i
$991$	−29.8860			−0.949361			−0.474681	−	0.880158i	$-0.657436\pi$
$991$	−29.8860			−0.949361			−0.474681	+	0.880158i	$0.657436\pi$
$992$	49.9971	−	1.56013i	1.58741	−	0.0495342i
$993$	−10.8170	−	0.661169i	−0.343267	−	0.0209816i
$994$	0.617100	−	4.05999i	0.0195732	−	0.128775i
$995$	3.59419	+	18.0692i	0.113944	+	0.572833i
$996$	−32.5122	+	34.5219i	−1.03019	+	1.09387i
$997$	−15.7713	+	10.5381i	−0.499483	+	0.333744i	−0.779658	−	0.626205i	$-0.784607\pi$
$997$	−15.7713	+	10.5381i	−0.499483	+	0.333744i	0.280176	+	0.959949i	$0.409607\pi$
$998$	−3.43124	+	0.156259i	−0.108614	+	0.00494630i
$999$	0.173738	−	0.267603i	0.00549684	−	0.00846658i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.11.7	✓	240
3.2	odd	2	inner	192.2.s.a.11.24	yes	240
4.3	odd	2		768.2.s.a.719.29		240
12.11	even	2		768.2.s.a.719.3		240
64.29	even	16		768.2.s.a.47.3		240
64.35	odd	16	inner	192.2.s.a.35.24	yes	240
192.29	odd	16		768.2.s.a.47.29		240
192.35	even	16	inner	192.2.s.a.35.7	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.11.7	✓	240	1.1	even	1	trivial
192.2.s.a.11.24	yes	240	3.2	odd	2	inner
192.2.s.a.35.7	yes	240	192.35	even	16	inner
192.2.s.a.35.24	yes	240	64.35	odd	16	inner
768.2.s.a.47.3		240	64.29	even	16
768.2.s.a.47.29		240	192.29	odd	16
768.2.s.a.719.3		240	12.11	even	2
768.2.s.a.719.29		240	4.3	odd	2

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.13891 + 0.838376i) q^{2} +(-1.71622 + 0.233636i) q^{3} +(0.594252 - 1.90968i) q^{4} +(1.07447 - 0.717940i) q^{5} +(1.75875 - 1.70493i) q^{6} +(-0.999337 + 2.41261i) q^{7} +(0.924224 + 2.67316i) q^{8} +(2.89083 - 0.801943i) q^{9} +O(q^{10})\)	\(q+(-1.13891 + 0.838376i) q^{2} +(-1.71622 + 0.233636i) q^{3} +(0.594252 - 1.90968i) q^{4} +(1.07447 - 0.717940i) q^{5} +(1.75875 - 1.70493i) q^{6} +(-0.999337 + 2.41261i) q^{7} +(0.924224 + 2.67316i) q^{8} +(2.89083 - 0.801943i) q^{9} +(-0.621830 + 1.71848i) q^{10} +(-0.399255 + 2.00719i) q^{11} +(-0.573699 + 3.41627i) q^{12} +(-2.49327 + 3.73144i) q^{13} +(-0.884517 - 3.58558i) q^{14} +(-1.67630 + 1.48318i) q^{15} +(-3.29373 - 2.26966i) q^{16} +(0.807989 + 0.807989i) q^{17} +(-2.62008 + 3.33694i) q^{18} +(-2.27722 + 3.40810i) q^{19} +(-0.732525 - 2.47853i) q^{20} +(1.15141 - 4.37406i) q^{21} +(-1.22806 - 2.62075i) q^{22} +(1.03964 + 2.50991i) q^{23} +(-2.21072 - 4.37181i) q^{24} +(-1.27436 + 3.07658i) q^{25} +(-0.288729 - 6.34009i) q^{26} +(-4.77394 + 2.05171i) q^{27} +(4.01345 + 3.34211i) q^{28} +(-1.16690 + 0.232112i) q^{29} +(0.665697 - 3.09458i) q^{30} +8.84263 q^{31} +(5.65410 - 0.176433i) q^{32} +(0.216258 - 3.53806i) q^{33} +(-1.59763 - 0.242832i) q^{34} +(0.658351 + 3.30975i) q^{35} +(0.186431 - 5.99710i) q^{36} +(-0.0510541 + 0.0341133i) q^{37} +(-0.263710 - 5.79070i) q^{38} +(3.40720 - 6.98649i) q^{39} +(2.91223 + 2.20871i) q^{40} +(6.88882 - 2.85344i) q^{41} +(2.35575 + 5.94699i) q^{42} +(1.67494 - 8.42048i) q^{43} +(3.59583 + 1.95523i) q^{44} +(2.53037 - 2.93711i) q^{45} +(-3.28831 - 1.98696i) q^{46} +(-7.28117 + 7.28117i) q^{47} +(6.18304 + 3.12570i) q^{48} +(0.127721 + 0.127721i) q^{49} +(-1.12794 - 4.57236i) q^{50} +(-1.57546 - 1.19791i) q^{51} +(5.64421 + 6.97876i) q^{52} +(5.98340 + 1.19017i) q^{53} +(3.71700 - 6.33908i) q^{54} +(1.01205 + 2.44332i) q^{55} +(-7.37292 - 0.441599i) q^{56} +(3.11196 - 6.38109i) q^{57} +(1.13441 - 1.24266i) q^{58} +(-7.31886 - 10.9534i) q^{59} +(1.83625 + 4.08257i) q^{60} +(-13.9509 + 2.77501i) q^{61} +(-10.0710 + 7.41345i) q^{62} +(-0.954134 + 7.77586i) q^{63} +(-6.29162 + 4.94120i) q^{64} +5.79935i q^{65} +(2.71993 + 4.21086i) q^{66} +(-1.86537 - 9.37786i) q^{67} +(2.02315 - 1.06285i) q^{68} +(-2.37065 - 4.06466i) q^{69} +(-3.52462 - 3.21758i) q^{70} +(1.02734 + 0.425537i) q^{71} +(4.81550 + 6.98649i) q^{72} +(7.19100 - 2.97861i) q^{73} +(0.0295465 - 0.0816546i) q^{74} +(1.46829 - 5.57783i) q^{75} +(5.15512 + 6.37402i) q^{76} +(-4.44359 - 2.96911i) q^{77} +(1.97680 + 10.8135i) q^{78} +(3.63279 - 3.63279i) q^{79} +(-5.16850 - 0.0739894i) q^{80} +(7.71378 - 4.63656i) q^{81} +(-5.45352 + 9.02525i) q^{82} +(11.3823 + 7.60544i) q^{83} +(-7.66881 - 4.79811i) q^{84} +(1.44825 + 0.288075i) q^{85} +(5.15192 + 10.9944i) q^{86} +(1.94844 - 0.670986i) q^{87} +(-5.73456 + 0.787819i) q^{88} +(-15.6065 - 6.46444i) q^{89} +(-0.419477 + 5.46652i) q^{90} +(-6.51091 - 9.74426i) q^{91} +(5.41092 - 0.493853i) q^{92} +(-15.1759 + 2.06596i) q^{93} +(2.18827 - 14.3970i) q^{94} +5.29682i q^{95} +(-9.66247 + 1.62380i) q^{96} -4.82681i q^{97} +(-0.252542 - 0.0383852i) q^{98} +(0.455474 + 6.12263i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Introduction

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