LMFDB - Embedded newform 930.2.bo.b.239.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(179,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 15, 13]))

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

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

chi := DirichletCharacter("930.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bo (of order $30$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			239.8
Character	$\chi$	$=$	930.239
Dual form			930.2.bo.b.179.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 + 0.951057i) q^{2} +(-1.30748 + 1.13599i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.719639 + 2.11710i) q^{5} +(-0.676360 - 1.59453i) q^{6} +(1.13296 + 2.54466i) q^{7} +(0.809017 - 0.587785i) q^{8} +(0.419032 - 2.97059i) q^{9} +O(q^{10})$	\(q+(-0.309017 + 0.951057i) q^{2} +(-1.30748 + 1.13599i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.719639 + 2.11710i) q^{5} +(-0.676360 - 1.59453i) q^{6} +(1.13296 + 2.54466i) q^{7} +(0.809017 - 0.587785i) q^{8} +(0.419032 - 2.97059i) q^{9} +(-1.79110 - 1.33864i) q^{10} +(-0.585445 + 5.57014i) q^{11} +(1.72550 - 0.150519i) q^{12} +(-3.54422 + 3.93625i) q^{13} +(-2.77022 + 0.291162i) q^{14} +(-1.46410 - 3.58558i) q^{15} +(0.309017 + 0.951057i) q^{16} +(6.31680 - 0.663922i) q^{17} +(2.69571 + 1.31649i) q^{18} +(-1.30902 - 1.45381i) q^{19} +(1.82660 - 1.28978i) q^{20} +(-4.37204 - 2.04007i) q^{21} +(-5.11660 - 2.27806i) q^{22} +(4.07434 + 5.60785i) q^{23} +(-0.390056 + 1.68756i) q^{24} +(-3.96424 - 3.04710i) q^{25} +(-2.64837 - 4.58712i) q^{26} +(2.82670 + 4.36002i) q^{27} +(0.579134 - 2.72461i) q^{28} +(0.342797 - 1.05502i) q^{29} +(3.86252 - 0.284435i) q^{30} +(-4.37858 + 3.43919i) q^{31} -1.00000 q^{32} +(-5.56219 - 7.94793i) q^{33} +(-1.32057 + 6.21280i) q^{34} +(-6.20263 + 0.567346i) q^{35} +(-2.08507 + 2.15696i) q^{36} +(1.94235 - 3.36424i) q^{37} +(1.78717 - 0.795698i) q^{38} +(0.162447 - 9.17280i) q^{39} +(0.662201 + 2.13576i) q^{40} +(0.912057 + 4.29089i) q^{41} +(3.29126 - 3.52764i) q^{42} +(0.792367 + 0.880013i) q^{43} +(3.74768 - 4.16222i) q^{44} +(5.98749 + 3.02489i) q^{45} +(-6.59243 + 2.14201i) q^{46} +(-3.35960 - 10.3398i) q^{47} +(-1.48443 - 0.892450i) q^{48} +(-0.507797 + 0.563965i) q^{49} +(4.12298 - 2.82861i) q^{50} +(-7.50490 + 8.04392i) q^{51} +(5.18100 - 1.10126i) q^{52} +(-2.36908 + 5.32104i) q^{53} +(-5.02012 + 1.34103i) q^{54} +(-11.3712 - 5.24793i) q^{55} +(2.41230 + 1.39274i) q^{56} +(3.36305 + 0.413799i) q^{57} +(0.897454 + 0.652038i) q^{58} +(0.511341 - 2.40567i) q^{59} +(-0.923072 + 3.76137i) q^{60} -12.6586i q^{61} +(-1.91781 - 5.22704i) q^{62} +(8.03389 - 2.29926i) q^{63} +(0.309017 - 0.951057i) q^{64} +(-5.78289 - 10.3361i) q^{65} +(9.27774 - 2.83391i) q^{66} +(4.77585 - 2.75734i) q^{67} +(-5.50064 - 3.17580i) q^{68} +(-11.6976 - 2.70375i) q^{69} +(1.37714 - 6.07437i) q^{70} +(6.53285 - 14.6730i) q^{71} +(-1.40707 - 2.64956i) q^{72} +(0.514483 - 4.89498i) q^{73} +(2.59937 + 2.88689i) q^{74} +(8.64467 - 0.519322i) q^{75} +(0.204489 + 1.94558i) q^{76} +(-14.8374 + 4.82096i) q^{77} +(8.67365 + 2.98905i) q^{78} +(9.34433 - 0.982129i) q^{79} +(-2.23586 - 0.0301969i) q^{80} +(-8.64883 - 2.48954i) q^{81} +(-4.36272 - 0.458540i) q^{82} +(1.43360 + 6.74456i) q^{83} +(2.33793 + 4.22028i) q^{84} +(-3.14022 + 13.8511i) q^{85} +(-1.08180 + 0.481647i) q^{86} +(0.750296 + 1.76884i) q^{87} +(2.80041 + 4.85045i) q^{88} +(-2.87747 - 2.09060i) q^{89} +(-4.72707 + 4.75970i) q^{90} +(-14.0319 - 4.55923i) q^{91} -6.93169i q^{92} +(1.81802 - 9.47073i) q^{93} +10.8719 q^{94} +(4.01989 - 1.72511i) q^{95} +(1.30748 - 1.13599i) q^{96} +(-1.90361 + 2.62009i) q^{97} +(-0.379445 - 0.657218i) q^{98} +(16.3013 + 4.07318i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{17}{30}\right)$

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 $

$2$	−0.309017	+	0.951057i	−0.218508	+	0.672499i
$2$	−0.309017	+	0.951057i	−0.218508	+	0.672499i
$3$	−1.30748	+	1.13599i	−0.754877	+	0.655867i
$3$	−1.30748	+	1.13599i	−0.754877	+	0.655867i
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	−0.719639	+	2.11710i	−0.321832	+	0.946797i
$5$	−0.719639	+	2.11710i	−0.321832	+	0.946797i
$6$	−0.676360	−	1.59453i	−0.276123	−	0.650966i
$7$	1.13296	+	2.54466i	0.428217	+	0.961792i	0.990835	+	0.135075i	$0.0431274\pi$
$7$	1.13296	+	2.54466i	0.428217	+	0.961792i	−0.562618	+	0.826717i	$0.690206\pi$
$8$	0.809017	−	0.587785i	0.286031	−	0.207813i
$9$	0.419032	−	2.97059i	0.139677	−	0.990197i
$10$	−1.79110	−	1.33864i	−0.566396	−	0.423314i
$11$	−0.585445	+	5.57014i	−0.176518	+	1.67946i	0.444590	+	0.895734i	$0.353350\pi$
$11$	−0.585445	+	5.57014i	−0.176518	+	1.67946i	−0.621108	+	0.783725i	$0.713317\pi$
$12$	1.72550	−	0.150519i	0.498108	−	0.0434511i
$13$	−3.54422	+	3.93625i	−0.982988	+	1.09172i	0.0127889	+	0.999918i	$0.495929\pi$
$13$	−3.54422	+	3.93625i	−0.982988	+	1.09172i	−0.995777	+	0.0918011i	$0.970738\pi$
$14$	−2.77022	+	0.291162i	−0.740372	+	0.0778163i
$15$	−1.46410	−	3.58558i	−0.378029	−	0.925794i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	6.31680	−	0.663922i	1.53205	−	0.161025i	0.699361	−	0.714768i	$-0.253468\pi$
$17$	6.31680	−	0.663922i	1.53205	−	0.161025i	0.832687	+	0.553743i	$0.186801\pi$
$18$	2.69571	+	1.31649i	0.635385	+	0.310299i
$19$	−1.30902	−	1.45381i	−0.300310	−	0.333528i	0.574037	−	0.818829i	$-0.305376\pi$
$19$	−1.30902	−	1.45381i	−0.300310	−	0.333528i	−0.874347	+	0.485302i	$0.838710\pi$
$20$	1.82660	−	1.28978i	0.408440	−	0.288403i
$21$	−4.37204	−	2.04007i	−0.954058	−	0.445180i
$22$	−5.11660	−	2.27806i	−1.09086	−	0.485684i
$23$	4.07434	+	5.60785i	0.849559	+	1.16932i	0.983960	+	0.178391i	$0.0570892\pi$
$23$	4.07434	+	5.60785i	0.849559	+	1.16932i	−0.134400	+	0.990927i	$0.542911\pi$
$24$	−0.390056	+	1.68756i	−0.0796199	+	0.344472i
$25$	−3.96424	−	3.04710i	−0.792848	−	0.609420i
$26$	−2.64837	−	4.58712i	−0.519389	−	0.899608i
$27$	2.82670	+	4.36002i	0.543998	+	0.839086i
$28$	0.579134	−	2.72461i	0.109446	−	0.514903i
$29$	0.342797	−	1.05502i	0.0636558	−	0.195912i	−0.914171	−	0.405330i	$-0.867157\pi$
$29$	0.342797	−	1.05502i	0.0636558	−	0.195912i	0.977826	+	0.209417i	$0.0671567\pi$
$30$	3.86252	−	0.284435i	0.705197	−	0.0519305i
$31$	−4.37858	+	3.43919i	−0.786416	+	0.617697i
$31$	−4.37858	+	3.43919i	−0.786416	+	0.617697i
$32$	−1.00000			−0.176777
$33$	−5.56219	−	7.94793i	−0.968252	−	1.38356i
$34$	−1.32057	+	6.21280i	−0.226476	+	1.06549i
$35$	−6.20263	+	0.567346i	−1.04844	+	0.0958990i
$36$	−2.08507	+	2.15696i	−0.347512	+	0.359493i
$37$	1.94235	−	3.36424i	0.319320	−	0.553078i	−0.661026	−	0.750363i	$-0.729879\pi$
$37$	1.94235	−	3.36424i	0.319320	−	0.553078i	0.980346	+	0.197284i	$0.0632122\pi$
$38$	1.78717	−	0.795698i	0.289917	−	0.129079i
$39$	0.162447	−	9.17280i	0.0260124	−	1.46882i
$40$	0.662201	+	2.13576i	0.104703	+	0.337694i
$41$	0.912057	+	4.29089i	0.142439	+	0.670124i	0.990190	+	0.139729i	$0.0446232\pi$
$41$	0.912057	+	4.29089i	0.142439	+	0.670124i	−0.847750	+	0.530395i	$0.822044\pi$
$42$	3.29126	−	3.52764i	0.507853	−	0.544327i
$43$	0.792367	+	0.880013i	0.120835	+	0.134201i	0.800527	−	0.599297i	$-0.204553\pi$
$43$	0.792367	+	0.880013i	0.120835	+	0.134201i	−0.679692	+	0.733498i	$0.737886\pi$
$44$	3.74768	−	4.16222i	0.564984	−	0.627478i
$45$	5.98749	+	3.02489i	0.892563	+	0.450923i
$46$	−6.59243	+	2.14201i	−0.972000	+	0.315822i
$47$	−3.35960	−	10.3398i	−0.490048	−	1.50821i	−0.824534	−	0.565812i	$-0.808563\pi$
$47$	−3.35960	−	10.3398i	−0.490048	−	1.50821i	0.334486	−	0.942401i	$-0.391437\pi$
$48$	−1.48443	−	0.892450i	−0.214259	−	0.128814i
$49$	−0.507797	+	0.563965i	−0.0725424	+	0.0805665i
$50$	4.12298	−	2.82861i	0.583077	−	0.400026i
$51$	−7.50490	+	8.04392i	−1.05090	+	1.12637i
$52$	5.18100	−	1.10126i	0.718475	−	0.152717i
$53$	−2.36908	+	5.32104i	−0.325418	+	0.730901i	−0.999973	−	0.00732376i	$-0.997669\pi$
$53$	−2.36908	+	5.32104i	−0.325418	+	0.730901i	0.674555	+	0.738224i	$0.264335\pi$
$54$	−5.02012	+	1.34103i	−0.683152	+	0.182491i
$55$	−11.3712	−	5.24793i	−1.53330	−	0.707631i
$56$	2.41230	+	1.39274i	0.322356	+	0.186113i
$57$	3.36305	+	0.413799i	0.445446	+	0.0548090i
$58$	0.897454	+	0.652038i	0.117841	+	0.0856168i
$59$	0.511341	−	2.40567i	0.0665710	−	0.313192i	−0.932246	−	0.361826i	$-0.882153\pi$
$59$	0.511341	−	2.40567i	0.0665710	−	0.313192i	0.998817	+	0.0486341i	$0.0154868\pi$
$60$	−0.923072	+	3.76137i	−0.119168	+	0.485591i
$61$		−	12.6586i		−	1.62077i	−0.585900	−	0.810384i	$-0.699259\pi$
$61$		−	12.6586i		−	1.62077i	0.585900	−	0.810384i	$-0.300741\pi$
$62$	−1.91781	−	5.22704i	−0.243562	−	0.663835i
$63$	8.03389	−	2.29926i	1.01218	−	0.289679i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	−5.78289	−	10.3361i	−0.717279	−	1.28204i
$66$	9.27774	−	2.83391i	1.14201	−	0.348830i
$67$	4.77585	−	2.75734i	0.583462	−	0.336862i	−0.179046	−	0.983841i	$-0.557301\pi$
$67$	4.77585	−	2.75734i	0.583462	−	0.336862i	0.762508	+	0.646979i	$0.223968\pi$
$68$	−5.50064	−	3.17580i	−0.667051	−	0.385122i
$69$	−11.6976	−	2.70375i	−1.40823	−	0.325493i
$70$	1.37714	−	6.07437i	0.164600	−	0.726026i
$71$	6.53285	−	14.6730i	0.775307	−	1.74137i	0.111113	−	0.993808i	$-0.464558\pi$
$71$	6.53285	−	14.6730i	0.775307	−	1.74137i	0.664194	−	0.747560i	$-0.268775\pi$
$72$	−1.40707	−	2.64956i	−0.165824	−	0.312254i
$73$	0.514483	−	4.89498i	0.0602157	−	0.572914i	−0.922266	−	0.386555i	$-0.873665\pi$
$73$	0.514483	−	4.89498i	0.0602157	−	0.572914i	0.982482	−	0.186358i	$-0.0596685\pi$
$74$	2.59937	+	2.88689i	0.302170	+	0.335594i
$75$	8.64467	−	0.519322i	0.998200	−	0.0599662i
$76$	0.204489	+	1.94558i	0.0234565	+	0.223174i
$77$	−14.8374	+	4.82096i	−1.69088	+	0.549400i
$78$	8.67365	+	2.98905i	0.982097	+	0.338443i
$79$	9.34433	−	0.982129i	1.05132	−	0.110498i	0.436926	−	0.899498i	$-0.356067\pi$
$79$	9.34433	−	0.982129i	1.05132	−	0.110498i	0.614394	+	0.789000i	$0.289401\pi$
$80$	−2.23586	−	0.0301969i	−0.249977	−	0.00337612i
$81$	−8.64883	−	2.48954i	−0.960981	−	0.276616i
$82$	−4.36272	−	0.458540i	−0.481782	−	0.0506373i
$83$	1.43360	+	6.74456i	0.157358	+	0.740312i	0.984084	+	0.177706i	$0.0568677\pi$
$83$	1.43360	+	6.74456i	0.157358	+	0.740312i	−0.826725	+	0.562606i	$0.809799\pi$
$84$	2.33793	+	4.22028i	0.255089	+	0.460470i
$85$	−3.14022	+	13.8511i	−0.340605	+	1.50236i
$86$	−1.08180	+	0.481647i	−0.116653	+	0.0519373i
$87$	0.750296	+	1.76884i	0.0804401	+	0.189639i
$88$	2.80041	+	4.85045i	0.298525	+	0.517060i
$89$	−2.87747	−	2.09060i	−0.305011	−	0.221604i	0.424742	−	0.905315i	$-0.360365\pi$
$89$	−2.87747	−	2.09060i	−0.305011	−	0.221604i	−0.729753	+	0.683711i	$0.760365\pi$
$90$	−4.72707	+	4.75970i	−0.498277	+	0.501717i
$91$	−14.0319	−	4.55923i	−1.47094	−	0.477937i
$92$		−	6.93169i		−	0.722678i
$93$	1.81802	−	9.47073i	0.188520	−	0.982069i
$94$	10.8719			1.12135
$95$	4.01989	−	1.72511i	0.412432	−	0.176992i
$96$	1.30748	−	1.13599i	0.133445	−	0.115942i
$97$	−1.90361	+	2.62009i	−0.193282	+	0.266030i	−0.894648	−	0.446771i	$-0.852574\pi$
$97$	−1.90361	+	2.62009i	−0.193282	+	0.266030i	0.701366	+	0.712801i	$0.252574\pi$
$98$	−0.379445	−	0.657218i	−0.0383297	−	0.0663891i
$99$	16.3013	+	4.07318i	1.63834	+	0.409370i
$100$	1.41610	+	4.79528i	0.141610	+	0.479528i
$101$	−3.90414	−	5.37359i	−0.388477	−	0.534692i	0.569329	−	0.822110i	$-0.307203\pi$
$101$	−3.90414	−	5.37359i	−0.388477	−	0.534692i	−0.957805	+	0.287418i	$0.907203\pi$
$102$	−5.33108	−	9.62330i	−0.527855	−	0.952848i
$103$	1.10151	+	5.18221i	0.108535	+	0.510618i	0.998508	+	0.0546046i	$0.0173898\pi$
$103$	1.10151	+	5.18221i	0.108535	+	0.510618i	−0.889973	+	0.456014i	$0.849277\pi$
$104$	−0.553661	+	5.26773i	−0.0542909	+	0.516543i
$105$	7.46534	−	7.78795i	0.728542	−	0.760026i
$106$	−4.32852	−	3.89742i	−0.420423	−	0.378551i
$107$	1.63764	+	15.5811i	0.158316	+	1.50628i	0.728661	+	0.684874i	$0.240143\pi$
$107$	1.63764	+	15.5811i	0.158316	+	1.50628i	−0.570345	+	0.821405i	$0.693190\pi$
$108$	0.275908	−	5.18882i	0.0265492	−	0.499295i
$109$	−0.0949520	−	0.292232i	−0.00909476	−	0.0279908i	0.946406	−	0.322979i	$-0.104684\pi$
$109$	−0.0949520	−	0.292232i	−0.00909476	−	0.0279908i	−0.955501	+	0.294988i	$0.904684\pi$
$110$	8.50499	−	9.19299i	0.810919	−	0.876517i
$111$	1.28217	+	6.60519i	0.121699	+	0.626937i
$112$	−2.07001	+	1.86385i	−0.195598	+	0.176117i
$113$	−1.98089	+	18.8469i	−0.186346	+	1.77297i	0.357627	+	0.933864i	$0.383586\pi$
$113$	−1.98089	+	18.8469i	−0.186346	+	1.77297i	−0.543973	+	0.839102i	$0.683081\pi$
$114$	−1.43279	+	3.07058i	−0.134193	+	0.287586i
$115$	−14.8045	+	4.59017i	−1.38052	+	0.428036i
$116$	−0.897454	+	0.652038i	−0.0833265	+	0.0605402i
$117$	10.2079	+	12.1778i	0.943716	+	1.12584i
$118$	2.12992	+	1.22971i	0.196075	+	0.113204i
$119$	8.84611	+	15.3219i	0.810922	+	1.40456i
$120$	−3.29203	−	2.04022i	−0.300520	−	0.186246i
$121$	−19.9241	−	4.23499i	−1.81128	−	0.384999i
$122$	12.0390	+	3.91172i	1.08996	+	0.354151i
$123$	−6.06693	−	4.57418i	−0.547037	−	0.412440i
$124$	5.56385	−	0.208703i	0.499649	−	0.0187420i
$125$	9.30384	−	6.19989i	0.832161	−	0.554535i
$126$	−0.295887	+	8.35120i	−0.0263597	+	0.743984i
$127$	−8.49863	−	1.80644i	−0.754132	−	0.160296i	−0.185223	−	0.982696i	$-0.559301\pi$
$127$	−8.49863	−	1.80644i	−0.754132	−	0.160296i	−0.568909	+	0.822401i	$0.692634\pi$
$128$	0.809017	+	0.587785i	0.0715077	+	0.0519534i
$129$	−2.03570	−	0.250478i	−0.179233	−	0.0220534i
$130$	11.6173	−	2.30581i	1.01890	−	0.202233i
$131$	7.95583	+	17.8691i	0.695104	+	1.56123i	0.822111	+	0.569327i	$0.192796\pi$
$131$	7.95583	+	17.8691i	0.695104	+	1.56123i	−0.127007	+	0.991902i	$0.540537\pi$
$132$	−0.171773	+	9.69938i	−0.0149509	+	0.844223i
$133$	2.21640	−	4.97812i	0.192186	−	0.431658i
$134$	1.14656	+	5.39416i	0.0990481	+	0.465985i
$135$	−11.2648	+	2.84677i	−0.969520	+	0.245011i
$136$	4.72015	−	4.25005i	0.404750	−	0.364438i
$137$	5.82273	+	5.24281i	0.497469	+	0.447923i	0.879272	−	0.476321i	$-0.158030\pi$
$137$	5.82273	+	5.24281i	0.497469	+	0.447923i	−0.381803	+	0.924244i	$0.624697\pi$
$138$	6.18618	−	10.2896i	0.526603	−	0.875909i
$139$	1.43394	−	0.465914i	0.121625	−	0.0395183i	−0.247572	−	0.968869i	$-0.579633\pi$
$139$	1.43394	−	0.465914i	0.121625	−	0.0395183i	0.369197	+	0.929351i	$0.379633\pi$
$140$	5.35151	+	3.18682i	0.452285	+	0.269335i
$141$	16.1386	+	9.70262i	1.35911	+	0.817108i
$142$	11.9361	+	10.7473i	1.00166	+	0.901896i
$143$	−19.8505	−	22.0462i	−1.65998	−	1.84360i
$144$	2.95469	−	0.519441i	0.246224	−	0.0432867i
$145$	1.98689	+	1.48497i	0.165003	+	0.123320i
$146$	4.49642	+	2.00193i	0.372126	+	0.165681i
$147$	0.0232746	−	1.31423i	0.00191966	−	0.108396i
$148$	−3.54884	+	1.58005i	−0.291713	+	0.129879i
$149$	−4.32715	−	2.49828i	−0.354494	−	0.204667i	0.312169	−	0.950027i	$-0.398944\pi$
$149$	−4.32715	−	2.49828i	−0.354494	−	0.204667i	−0.666663	+	0.745360i	$0.732278\pi$
$150$	−2.17744	+	8.38205i	−0.177788	+	0.684391i
$151$	5.86701	−	8.07524i	0.477450	−	0.657154i	−0.500562	−	0.865701i	$-0.666873\pi$
$151$	5.86701	−	8.07524i	0.477450	−	0.657154i	0.978012	+	0.208547i	$0.0668733\pi$
$152$	−1.91355	−	0.406737i	−0.155209	−	0.0329908i
$153$	0.674696	−	19.0428i	0.0545460	−	1.53952i
$154$		−	15.6010i		−	1.25716i
$155$	−4.13013	−	11.7449i	−0.331740	−	0.943371i
$156$	−5.52306	+	7.32546i	−0.442198	+	0.586506i
$157$	−11.0958	−	3.60524i	−0.885540	−	0.287729i	−0.169284	−	0.985567i	$-0.554146\pi$
$157$	−11.0958	−	3.60524i	−0.885540	−	0.287729i	−0.716256	+	0.697838i	$0.754146\pi$
$158$	−1.95350	+	9.19048i	−0.155412	+	0.731155i
$159$	−2.94714	−	9.64843i	−0.233723	−	0.765171i
$160$	0.719639	−	2.11710i	0.0568925	−	0.167372i
$161$	−9.65403	+	16.7213i	−0.760844	+	1.31782i
$162$	5.04033	−	7.45621i	0.396006	−	0.585815i
$163$	11.9568	+	16.4572i	0.936532	+	1.28903i	0.957256	+	0.289240i	$0.0934027\pi$
$163$	11.9568	+	16.4572i	0.936532	+	1.28903i	−0.0207245	+	0.999785i	$0.506597\pi$
$164$	1.78425	−	4.00750i	0.139327	−	0.312933i
$165$	20.8293	−	6.05607i	1.62156	−	0.471465i
$166$	−6.85747	−	0.720749i	−0.532243	−	0.0559410i
$167$	8.44855	−	7.60711i	0.653768	−	0.588656i	−0.274038	−	0.961719i	$-0.588359\pi$
$167$	8.44855	−	7.60711i	0.653768	−	0.588656i	0.927806	+	0.373063i	$0.121693\pi$
$168$	−4.73618	+	0.919370i	−0.365404	+	0.0709309i
$169$	−1.57373	−	14.9730i	−0.121056	−	1.15177i
$170$	−12.2028	−	7.26675i	−0.935911	−	0.557335i
$171$	−4.86721	+	3.27937i	−0.372205	+	0.250780i
$172$	−0.123780	−	1.17769i	−0.00943813	−	0.0897978i
$173$	−4.04130	+	4.48831i	−0.307254	+	0.341240i	−0.876920	−	0.480636i	$-0.840406\pi$
$173$	−4.04130	+	4.48831i	−0.307254	+	0.341240i	0.569666	+	0.821876i	$0.307073\pi$
$174$	−1.91412	+	0.166973i	−0.145109	+	0.0126582i
$175$	3.26252	−	13.5399i	0.246624	−	1.02352i
$176$	−5.47843	+	1.16448i	−0.412952	+	0.0877757i
$177$	2.06426	+	3.72626i	0.155159	+	0.280083i
$178$	2.87747	−	2.09060i	0.215676	−	0.156697i
$179$	2.63366	−	1.17258i	0.196849	−	0.0876427i	−0.305945	−	0.952049i	$-0.598972\pi$
$179$	2.63366	−	1.17258i	0.196849	−	0.0876427i	0.502794	+	0.864407i	$0.332306\pi$
$180$	−3.06600	−	5.96654i	−0.228526	−	0.444720i
$181$	−1.37679	+	0.794891i	−0.102336	+	0.0590838i	−0.550295	−	0.834971i	$-0.685485\pi$
$181$	−1.37679	+	0.794891i	−0.102336	+	0.0590838i	0.447958	+	0.894054i	$0.352151\pi$
$182$	8.67217	−	11.9362i	0.642824	−	0.884771i
$183$	14.3801	+	16.5509i	1.06301	+	1.22348i
$184$	6.59243	+	2.14201i	0.486000	+	0.157911i
$185$	5.72466	+	6.53319i	0.420885	+	0.480330i
$186$	8.44541	+	4.65565i	0.619247	+	0.341369i
$187$			35.5741i			2.60144i
$188$	−3.35960	+	10.3398i	−0.245024	+	0.754107i
$189$	−7.89225	+	12.1327i	−0.574077	+	0.882524i
$190$	0.398459	+	4.35623i	0.0289072	+	0.316034i
$191$	−9.75488	+	5.63199i	−0.705839	+	0.407516i	−0.809518	−	0.587095i	$-0.800272\pi$
$191$	−9.75488	+	5.63199i	−0.705839	+	0.407516i	0.103680	+	0.994611i	$0.466938\pi$
$192$	0.676360	+	1.59453i	0.0488121	+	0.115076i
$193$	−5.27936	−	11.8576i	−0.380017	−	0.853532i	−0.997744	−	0.0671391i	$-0.978613\pi$
$193$	−5.27936	−	11.8576i	−0.380017	−	0.853532i	0.617727	−	0.786393i	$-0.288054\pi$
$194$	−1.90361	−	2.62009i	−0.136671	−	0.188111i
$195$	19.3028	+	6.94502i	1.38230	+	0.497343i
$196$	0.742307	−	0.157782i	0.0530219	−	0.0112702i
$197$	−4.02330	−	0.422866i	−0.286648	−	0.0301279i	−0.0398868	−	0.999204i	$-0.512700\pi$
$197$	−4.02330	−	0.422866i	−0.286648	−	0.0301279i	−0.246761	+	0.969076i	$0.579366\pi$
$198$	−8.91120	+	14.2448i	−0.633291	+	1.01233i
$199$	11.3718	+	10.2393i	0.806129	+	0.725841i	0.965225	−	0.261422i	$-0.0841913\pi$
$199$	11.3718	+	10.2393i	0.806129	+	0.725841i	−0.159096	+	0.987263i	$0.550858\pi$
$200$	−4.99818	−	0.135033i	−0.353424	−	0.00954824i
$201$	−3.11203	+	9.03051i	−0.219505	+	0.636963i
$202$	6.31704	−	2.05253i	0.444465	−	0.144415i
$203$	3.07304	−	0.322990i	0.215685	−	0.0226694i
$204$	10.7997	−	2.09640i	0.756130	−	0.146777i
$205$	−9.74060	−	1.15697i	−0.680313	−	0.0808066i
$206$	−5.26896	−	0.553790i	−0.367106	−	0.0385844i
$207$	18.3659	−	9.75334i	1.27652	−	0.677904i
$208$	−4.83882	−	2.15438i	−0.335512	−	0.149379i
$209$	8.86430	−	6.44029i	0.613156	−	0.445484i
$210$	5.09986	+	9.50656i	0.351924	+	0.656015i
$211$	−9.69694	+	16.7956i	−0.667565	+	1.15626i	0.311018	+	0.950404i	$0.399330\pi$
$211$	−9.69694	+	16.7956i	−0.667565	+	1.15626i	−0.978583	+	0.205852i	$0.934003\pi$
$212$	5.04425	−	2.91230i	0.346441	−	0.200018i
$213$	8.12688	+	26.6060i	0.556845	+	1.82302i
$214$	−15.3245	−	3.25733i	−1.04756	−	0.222667i
$215$	−2.43330	+	1.04423i	−0.165949	+	0.0712159i
$216$	4.84960	+	1.86584i	0.329974	+	0.126954i
$217$	−13.7123	−	7.24554i	−0.930853	−	0.491859i
$218$	0.307271			0.0208110
$219$	4.88799	+	6.98456i	0.330300	+	0.471973i
$220$	6.11487	+	10.9295i	0.412264	+	0.736868i
$221$	−19.7747	+	27.2176i	−1.33019	+	1.83085i
$222$	−6.67813	−	0.821696i	−0.448206	−	0.0551486i
$223$	5.01916	−	8.69343i	0.336108	−	0.582155i	−0.647589	−	0.761990i	$-0.724223\pi$
$223$	5.01916	−	8.69343i	0.336108	−	0.582155i	0.983697	+	0.179834i	$0.0575561\pi$
$224$	−1.13296	−	2.54466i	−0.0756988	−	0.170022i
$225$	−10.7128	+	10.4993i	−0.714188	+	0.699954i
$226$	−17.3123	−	7.70795i	−1.15160	−	0.512725i
$227$	−15.5123	+	3.29724i	−1.02959	+	0.218846i	−0.691582	−	0.722298i	$-0.743086\pi$
$227$	−15.5123	+	3.29724i	−1.02959	+	0.218846i	−0.338007	+	0.941144i	$0.609753\pi$
$228$	−2.47754	−	2.31152i	−0.164079	−	0.153084i
$229$	3.53100	−	3.17933i	0.233335	−	0.210096i	−0.544166	−	0.838978i	$-0.683154\pi$
$229$	3.53100	−	3.17933i	0.233335	−	0.210096i	0.777501	+	0.628882i	$0.216487\pi$
$230$	0.209316	−	15.4983i	0.0138019	−	1.02193i
$231$	13.9231	−	23.1585i	0.916071	−	1.52372i
$232$	−0.342797	−	1.05502i	−0.0225057	−	0.0692655i
$233$	7.70706	+	23.7199i	0.504906	+	1.55394i	0.800929	+	0.598760i	$0.204340\pi$
$233$	7.70706	+	23.7199i	0.504906	+	1.55394i	−0.296023	+	0.955181i	$0.595660\pi$
$234$	−14.7362	+	5.94509i	−0.963336	+	0.388643i
$235$	24.3081	+	0.328298i	1.58568	+	0.0214158i
$236$	−1.82770	+	1.64567i	−0.118973	+	0.107124i
$237$	−11.1019	+	11.8992i	−0.721144	+	0.772938i
$238$	−17.3056	+	3.67842i	−1.12176	+	0.238437i
$239$	4.45965	+	1.98556i	0.288471	+	0.128435i	0.545871	−	0.837870i	$-0.316199\pi$
$239$	4.45965	+	1.98556i	0.288471	+	0.128435i	−0.257400	+	0.966305i	$0.582866\pi$
$240$	2.95766	−	2.50045i	0.190916	−	0.161403i
$241$	0.381676	+	0.857258i	0.0245859	+	0.0552208i	0.925421	−	0.378940i	$-0.123711\pi$
$241$	0.381676	+	0.857258i	0.0245859	+	0.0552208i	−0.900835	+	0.434161i	$0.857045\pi$
$242$	10.1846	−	17.6402i	0.654690	−	1.13396i
$243$	14.1363	−	6.56998i	0.906845	−	0.421465i
$244$	−7.44054	+	10.2410i	−0.476332	+	0.655614i
$245$	−0.828542	−	1.48091i	−0.0529336	−	0.0946118i
$246$	6.22509	−	4.35649i	0.396897	−	0.277760i
$247$	10.3620			0.659319
$248$	−1.52084	+	5.35603i	−0.0965732	+	0.340108i
$249$	−9.53620	−	7.18985i	−0.604332	−	0.455638i
$250$	3.02140	+	10.7643i	0.191090	+	0.680797i
$251$	12.1644	+	2.58562i	0.767808	+	0.163203i	0.575133	−	0.818060i	$-0.304950\pi$
$251$	12.1644	+	2.58562i	0.767808	+	0.163203i	0.192675	+	0.981263i	$0.438284\pi$
$252$	−7.85102	−	2.86207i	−0.494568	−	0.180293i
$253$	−33.6218	+	19.4116i	−2.11379	+	1.22039i
$254$	4.34425	−	7.52446i	0.272582	−	0.472127i
$255$	−11.6290	−	21.6774i	−0.728235	−	1.35749i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	−23.6171	−	10.5150i	−1.47319	−	0.655907i	−0.496011	−	0.868316i	$-0.665202\pi$
$257$	−23.6171	−	10.5150i	−1.47319	−	0.655907i	−0.977181	+	0.212409i	$0.931869\pi$
$258$	0.867284	−	1.85866i	0.0539948	−	0.115715i
$259$	10.7615	+	1.13107i	0.668684	+	0.0702816i
$260$	−1.39698	+	11.7612i	−0.0866370	+	0.729399i
$261$	−2.99039	−	1.46040i	−0.185101	−	0.0903962i
$262$	−19.4530	+	2.04459i	−1.20181	+	0.126315i
$263$	8.34855	−	2.71261i	0.514794	−	0.167267i	−0.0400876	−	0.999196i	$-0.512764\pi$
$263$	8.34855	−	2.71261i	0.514794	−	0.167267i	0.554881	+	0.831930i	$0.312764\pi$
$264$	−9.17158	−	3.16064i	−0.564472	−	0.194524i
$265$	−9.56029	−	8.84480i	−0.587284	−	0.543332i
$266$	4.04957	+	3.64625i	0.248295	+	0.223566i
$267$	6.13716	−	0.535358i	0.375588	−	0.0327634i
$268$	−5.48446	−	0.576440i	−0.335017	−	0.0352117i
$269$	16.7608	−	3.56263i	1.02193	−	0.217217i	0.333674	−	0.942688i	$-0.391711\pi$
$269$	16.7608	−	3.56263i	1.02193	−	0.217217i	0.688252	+	0.725471i	$0.258378\pi$
$270$	0.773579	−	11.5932i	0.0470785	−	0.705538i
$271$	−3.46790	−	4.77316i	−0.210660	−	0.289949i	0.690591	−	0.723245i	$-0.257350\pi$
$271$	−3.46790	−	4.77316i	−0.210660	−	0.289949i	−0.901251	+	0.433296i	$0.857350\pi$
$272$	2.58343	+	5.80247i	0.156643	+	0.351826i
$273$	23.5257	−	9.97900i	1.42384	−	0.603957i
$274$	−6.78553	+	3.91762i	−0.409929	+	0.236672i
$275$	19.2936	−	20.2974i	1.16345	−	1.22398i
$276$	7.87436	+	9.06307i	0.473981	+	0.545533i
$277$	1.06730	−	3.28483i	0.0641281	−	0.197366i	−0.913859	−	0.406032i	$-0.866912\pi$
$277$	1.06730	−	3.28483i	0.0641281	−	0.197366i	0.977987	+	0.208666i	$0.0669121\pi$
$278$			1.50773i			0.0904276i
$279$	8.38168	+	14.4481i	0.501798	+	0.864985i
$280$	−4.68455	+	4.10480i	−0.279956	+	0.245309i
$281$	19.3154	+	6.27596i	1.15226	+	0.374392i	0.821994	−	0.569496i	$-0.192861\pi$
$281$	19.3154	+	6.27596i	1.15226	+	0.374392i	0.330266	+	0.943888i	$0.392861\pi$
$282$	−14.2148	+	12.3504i	−0.846481	+	0.735457i
$283$	13.8486	−	19.0610i	0.823213	−	1.13306i	−0.165935	−	0.986137i	$-0.553064\pi$
$283$	13.8486	−	19.0610i	0.823213	−	1.13306i	0.989148	−	0.146919i	$-0.0469358\pi$
$284$	−13.9098	+	8.03082i	−0.825394	+	0.476541i
$285$	−3.29623	+	6.82213i	−0.195252	+	0.404108i
$286$	27.1013	−	12.0663i	1.60254	−	0.713495i
$287$	−9.88554	+	7.18227i	−0.583525	+	0.423956i
$288$	−0.419032	+	2.97059i	−0.0246917	+	0.175044i
$289$	22.8327	−	4.85323i	1.34310	−	0.285484i
$290$	−2.02627	+	1.43077i	−0.118987	+	0.0840176i
$291$	−0.487472	−	5.58821i	−0.0285761	−	0.327587i
$292$	−3.29342	+	3.65771i	−0.192733	+	0.214052i
$293$	−1.37193	−	13.0531i	−0.0801491	−	0.762568i	−0.958604	−	0.284743i	$-0.908092\pi$
$293$	−1.37193	−	13.0531i	−0.0801491	−	0.762568i	0.878455	−	0.477825i	$-0.158575\pi$
$294$	1.24272	+	0.428255i	0.0724766	+	0.0249763i
$295$	4.72507	+	2.81378i	0.275104	+	0.163824i
$296$	−0.406061	−	3.86341i	−0.0236018	−	0.224556i
$297$	−25.9408	+	13.1925i	−1.50524	+	0.765509i
$298$	3.71317	−	3.34335i	0.215098	−	0.193675i
$299$	−36.5143	−	3.83780i	−2.11167	−	0.221946i
$300$	−7.29893	−	4.66107i	−0.421404	−	0.269107i
$301$	−1.34162	+	3.01332i	−0.0773296	+	0.173685i
$302$	5.86701	+	8.07524i	0.337608	+	0.464678i
$303$	11.2090	+	2.59080i	0.643939	+	0.148838i
$304$	0.978149	−	1.69420i	0.0561007	−	0.0971693i
$305$	26.7995	+	9.10962i	1.53454	+	0.521615i
$306$	17.9023	+	6.52623i	1.02341	+	0.373080i
$307$	−1.38159	+	6.49989i	−0.0788518	+	0.370968i	−0.999826	−	0.0186551i	$-0.994062\pi$
$307$	−1.38159	+	6.49989i	−0.0788518	+	0.370968i	0.920974	+	0.389624i	$0.127395\pi$
$308$	14.8374	+	4.82096i	0.845439	+	0.274700i
$309$	−7.32717	−	5.52435i	−0.416828	−	0.314269i
$310$	12.4463	−	0.298619i	0.706903	−	0.0169604i
$311$			2.89191i			0.163985i	0.996633	+	0.0819927i	$0.0261284\pi$
$311$			2.89191i			0.163985i	−0.996633	+	0.0819927i	$0.973872\pi$
$312$	−5.26021	−	7.51643i	−0.297801	−	0.425534i
$313$	−11.3429	−	2.41100i	−0.641137	−	0.136278i	−0.124140	−	0.992265i	$-0.539617\pi$
$313$	−11.3429	−	2.41100i	−0.641137	−	0.136278i	−0.516998	+	0.855987i	$0.672950\pi$
$314$	6.85757	−	9.43864i	0.386995	−	0.532653i
$315$	−0.913743	+	18.6632i	−0.0514836	+	1.05155i
$316$	−8.13700	−	4.69790i	−0.457742	−	0.264278i
$317$	17.5636	−	7.81982i	0.986470	−	0.439205i	0.150876	−	0.988553i	$-0.451791\pi$
$317$	17.5636	−	7.81982i	0.986470	−	0.439205i	0.835594	+	0.549348i	$0.185124\pi$
$318$	10.0869	+	0.178636i	0.565646	+	0.0100174i
$319$	5.67592	+	2.52708i	0.317790	+	0.141489i
$320$	1.79110	+	1.33864i	0.100126	+	0.0748321i
$321$	−19.8412	−	18.5117i	−1.10743	−	1.03322i
$322$	−12.9196	−	14.3487i	−0.719982	−	0.799621i
$323$	−9.23403	−	8.31436i	−0.513795	−	0.462623i
$324$	5.53373	+	7.09773i	0.307429	+	0.394319i
$325$	26.0443	−	4.80467i	1.44468	−	0.266515i
$326$	−19.3466	+	6.28608i	−1.07151	+	0.348154i
$327$	0.456123	+	0.274224i	0.0252236	+	0.0151646i
$328$	3.25999	+	2.93531i	0.180003	+	0.162075i
$329$	22.5050	−	20.2636i	1.24074	−	1.11717i
$330$	−0.676952	+	21.6813i	−0.0372650	+	1.19352i
$331$	−0.307711	−	1.44767i	−0.0169133	−	0.0795709i	0.968881	−	0.247525i	$-0.0796173\pi$
$331$	−0.307711	−	1.44767i	−0.0169133	−	0.0795709i	−0.985795	+	0.167954i	$0.946284\pi$
$332$	2.80455	−	6.29911i	0.153919	−	0.345709i
$333$	−9.17989	−	7.17964i	−0.503055	−	0.393442i
$334$	4.62404	+	10.3858i	0.253016	+	0.568284i
$335$	2.40068	+	12.0952i	0.131163	+	0.660833i
$336$	0.589188	−	4.78848i	0.0321429	−	0.261233i
$337$	16.2715	+	11.8219i	0.886364	+	0.643981i	0.934927	−	0.354839i	$-0.115464\pi$
$337$	16.2715	+	11.8219i	0.886364	+	0.643981i	−0.0485636	+	0.998820i	$0.515464\pi$
$338$	14.7265	+	3.13022i	0.801017	+	0.170261i
$339$	−18.8200	−	26.8923i	−1.02216	−	1.46059i
$340$	10.6820	−	9.35999i	0.579311	−	0.507617i
$341$	−16.5934	−	26.4027i	−0.898581	−	1.42979i
$342$	−1.61481	−	5.64237i	−0.0873192	−	0.305104i
$343$	16.5336	+	5.37210i	0.892732	+	0.290066i
$344$	1.15830	+	0.246204i	0.0624512	+	0.0132744i
$345$	14.1422	−	22.8194i	0.761389	−	1.22855i
$346$	−3.01981	−	5.23047i	−0.162346	−	0.281192i
$347$	−19.2548	−	11.1168i	−1.03365	−	0.596780i	−0.115625	−	0.993293i	$-0.536887\pi$
$347$	−19.2548	−	11.1168i	−1.03365	−	0.596780i	−0.918029	+	0.396512i	$0.870220\pi$
$348$	0.432695	−	1.87203i	0.0231949	−	0.100351i
$349$	−6.56568	+	4.77024i	−0.351453	+	0.255345i	−0.749478	−	0.662029i	$-0.769696\pi$
$349$	−6.56568	+	4.77024i	−0.351453	+	0.255345i	0.398025	+	0.917374i	$0.369696\pi$
$350$	11.8690	+	7.28689i	0.634425	+	0.389501i
$351$	−27.1806	−	4.32626i	−1.45079	−	0.230918i
$352$	0.585445	−	5.57014i	0.0312043	−	0.296889i
$353$	−16.1036	+	14.4997i	−0.857107	+	0.771743i	−0.975215	−	0.221258i	$-0.928984\pi$
$353$	−16.1036	+	14.4997i	−0.857107	+	0.771743i	0.118108	+	0.993001i	$0.462317\pi$
$354$	−4.18178	+	0.811750i	−0.222259	+	0.0431440i
$355$	26.3630	+	24.3900i	1.39920	+	1.29449i
$356$	1.09910	+	3.38267i	0.0582520	+	0.179281i
$357$	−28.9718	−	9.98403i	−1.53335	−	0.528411i
$358$	0.301345	+	2.86710i	0.0159266	+	0.151531i
$359$	21.1942	+	19.0834i	1.11859	+	1.00718i	0.999898	+	0.0142502i	$0.00453613\pi$
$359$	21.1942	+	19.0834i	1.11859	+	1.00718i	0.118690	+	0.992931i	$0.462131\pi$
$360$	6.62197	−	1.07218i	0.349008	−	0.0565086i
$361$	1.58600	−	15.0898i	0.0834737	−	0.794199i
$362$	−0.330534	−	1.55504i	−0.0173725	−	0.0817311i
$363$	30.8613	−	17.0964i	1.61980	−	0.897331i
$364$	8.67217	+	11.9362i	0.454545	+	0.625628i
$365$	9.99292	+	4.61183i	0.523054	+	0.241394i
$366$	−20.1846	+	8.56177i	−1.05506	+	0.447531i
$367$	−2.74054	−	4.74676i	−0.143055	−	0.247779i	0.785590	−	0.618747i	$-0.212359\pi$
$367$	−2.74054	−	4.74676i	−0.143055	−	0.247779i	−0.928646	+	0.370968i	$0.879026\pi$
$368$	−4.07434	+	5.60785i	−0.212390	+	0.292330i
$369$	13.1287	−	0.911330i	0.683451	−	0.0474419i
$370$	−7.98245	+	3.42561i	−0.414988	+	0.178089i
$371$	−16.2243			−0.842324
$372$	−7.03756	+	6.59338i	−0.364881	+	0.341851i
$373$			5.44254i			0.281804i	0.990024	+	0.140902i	$0.0450002\pi$
$373$			5.44254i			0.281804i	−0.990024	+	0.140902i	$0.955000\pi$
$374$	−33.8330	−	10.9930i	−1.74946	−	0.568435i
$375$	−5.12158	+	18.6754i	−0.264477	+	0.964392i
$376$	−8.79555	−	6.39034i	−0.453596	−	0.329557i
$377$	2.93788	+	5.08855i	0.151308	+	0.262074i
$378$	−9.10005	−	11.2552i	−0.468056	−	0.578904i
$379$	−19.9327	+	8.87463i	−1.02388	+	0.455859i	−0.848810	−	0.528698i	$-0.822680\pi$
$379$	−19.9327	+	8.87463i	−1.02388	+	0.455859i	−0.175066	+	0.984557i	$0.556014\pi$
$380$	−4.26615	−	0.967193i	−0.218849	−	0.0496159i
$381$	13.1639	−	7.29251i	0.674409	−	0.373607i
$382$	−2.34191	−	11.0178i	−0.119823	−	0.563721i
$383$	−33.0992	−	3.47887i	−1.69129	−	0.177762i	−0.790633	−	0.612291i	$-0.790248\pi$
$383$	−33.0992	−	3.47887i	−1.69129	−	0.177762i	−0.900658	+	0.434529i	$0.856915\pi$
$384$	−1.72550	+	0.150519i	−0.0880540	+	0.00768114i
$385$	0.471101	−	34.8816i	0.0240095	−	1.77773i
$386$	12.9087	−	1.35676i	0.657036	−	0.0690572i
$387$	2.94619	−	1.98505i	0.149763	−	0.100906i
$388$	3.08010	−	1.00078i	0.156368	−	0.0508071i
$389$	−2.27536	−	21.6486i	−0.115365	−	1.09763i	−0.887067	−	0.461641i	$-0.847261\pi$
$389$	−2.27536	−	21.6486i	−0.115365	−	1.09763i	0.771701	−	0.635985i	$-0.219406\pi$
$390$	−12.5700	+	16.2120i	−0.636507	+	0.820925i
$391$	29.4600	+	32.7186i	1.48986	+	1.65465i
$392$	−0.0793256	+	0.754733i	−0.00400655	+	0.0381198i
$393$	−30.7013	−	14.3258i	−1.54868	−	0.722640i
$394$	1.64544	−	3.69571i	0.0828959	−	0.186187i
$395$	−4.64528	+	20.4897i	−0.233729	+	1.03095i
$396$	−10.7939	−	12.8769i	−0.542412	−	0.647090i
$397$	−8.33120	−	4.81002i	−0.418131	−	0.241408i	0.276146	−	0.961116i	$-0.410943\pi$
$397$	−8.33120	−	4.81002i	−0.418131	−	0.241408i	−0.694277	+	0.719708i	$0.744276\pi$
$398$	−13.2522	+	7.65116i	−0.664273	+	0.383518i
$399$	2.75721	+	9.02663i	0.138033	+	0.451897i
$400$	1.67294	−	4.71182i	0.0836472	−	0.235591i
$401$	1.46083	−	4.49596i	0.0729502	−	0.224518i	−0.907933	−	0.419116i	$-0.862340\pi$
$401$	1.46083	−	4.49596i	0.0729502	−	0.224518i	0.980883	+	0.194598i	$0.0623402\pi$
$402$	−7.62686	−	5.75029i	−0.380393	−	0.286799i
$403$	1.98110	−	29.4244i	0.0986855	−	1.46573i
$404$			6.64213i			0.330458i
$405$	11.4946	−	16.5189i	0.571174	−	0.820829i
$406$	−0.642441	+	3.02245i	−0.0318838	+	0.150001i
$407$	17.6022	+	12.7887i	0.872507	+	0.633913i
$408$	−1.34350	+	10.9189i	−0.0665131	+	0.540568i
$409$	−17.3331	−	10.0073i	−0.857066	−	0.494827i	0.00596251	−	0.999982i	$-0.498102\pi$
$409$	−17.3331	−	10.0073i	−0.857066	−	0.494827i	−0.863029	+	0.505155i	$0.831435\pi$
$410$	4.11036	−	8.90634i	0.202996	−	0.439853i
$411$	−13.5689	−	0.240301i	−0.669306	−	0.0118532i
$412$	2.15488	−	4.83995i	0.106164	−	0.238447i
$413$	6.70095	−	1.42433i	0.329732	−	0.0700867i
$414$	3.60060	+	20.4810i	0.176960	+	1.00658i
$415$	−15.3106	−	1.81857i	−0.751568	−	0.0892701i
$416$	3.54422	−	3.93625i	0.173769	−	0.192991i
$417$	−1.34557	+	2.23812i	−0.0658930	+	0.109601i
$418$	3.38586	+	10.4206i	0.165608	+	0.509689i
$419$	−35.2361	+	11.4489i	−1.72140	+	0.559316i	−0.992163	−	0.124949i	$-0.960123\pi$
$419$	−35.2361	+	11.4489i	−1.72140	+	0.559316i	−0.729234	+	0.684265i	$0.760123\pi$
$420$	−10.6172	+	1.91257i	−0.518067	+	0.0933237i
$421$	−7.42481	+	8.24609i	−0.361863	+	0.401890i	−0.896393	−	0.443260i	$-0.853822\pi$
$421$	−7.42481	+	8.24609i	−0.361863	+	0.401890i	0.534530	+	0.845149i	$0.320489\pi$
$422$	−12.9770	−	14.4125i	−0.631712	−	0.701588i
$423$	−32.1231	+	5.64730i	−1.56188	+	0.274581i
$424$	1.21100	+	5.69732i	0.0588115	+	0.276686i
$425$	−27.0643	−	16.6160i	−1.31281	−	0.805992i
$426$	−27.8152	−	0.492598i	−1.34765	−	0.0238665i
$427$	32.2118	−	14.3416i	1.55884	−	0.694040i
$428$	7.83345	−	13.5679i	0.378644	−	0.655831i
$429$	50.9986	+	6.27502i	2.46224	+	0.302961i
$430$	−0.241193	−	2.63689i	−0.0116313	−	0.127162i
$431$	7.14846	−	33.6309i	0.344329	−	1.61994i	−0.376215	−	0.926532i	$-0.622775\pi$
$431$	7.14846	−	33.6309i	0.344329	−	1.61994i	0.720544	−	0.693409i	$-0.243892\pi$
$432$	−3.27313	+	4.03567i	−0.157478	+	0.194166i
$433$	9.35332			0.449492			0.224746	−	0.974417i	$-0.427845\pi$
$433$	9.35332			0.449492			0.224746	+	0.974417i	$0.427845\pi$
$434$	11.1283	−	10.8022i	0.534174	−	0.518522i
$435$	−4.28475	+	0.315528i	−0.205438	+	0.0151284i
$436$	−0.0949520	+	0.292232i	−0.00454738	+	0.0139954i
$437$	2.81938	−	13.2641i	0.134869	−	0.634509i
$438$	−8.15318	+	2.49041i	−0.389574	+	0.118996i
$439$	12.9884	+	22.4965i	0.619901	+	1.07370i	0.989503	+	0.144510i	$0.0461606\pi$
$439$	12.9884	+	22.4965i	0.619901	+	1.07370i	−0.369602	+	0.929190i	$0.620506\pi$
$440$	−12.2842	+	2.43818i	−0.585625	+	0.116236i
$441$	1.46253	+	1.74478i	0.0696442	+	0.0830846i
$442$	−19.7747	−	27.2176i	−0.940588	−	1.29461i
$443$	31.3056	+	13.9382i	1.48737	+	0.662222i	0.979908	−	0.199450i	$-0.0639157\pi$
$443$	31.3056	+	13.9382i	1.48737	+	0.662222i	0.507466	+	0.861672i	$0.330582\pi$
$444$	2.84513	−	6.09736i	0.135024	−	0.289368i
$445$	6.49676	−	4.58742i	0.307976	−	0.217464i
$446$	6.71694	+	7.45992i	0.318056	+	0.353237i
$447$	8.49571	−	1.64915i	0.401833	−	0.0780023i
$448$	2.77022	−	0.291162i	0.130881	−	0.0137561i
$449$	2.07585	+	6.38882i	0.0979657	+	0.301507i	0.988015	−	0.154356i	$-0.0493304\pi$
$449$	2.07585	+	6.38882i	0.0979657	+	0.301507i	−0.890050	+	0.455864i	$0.849330\pi$
$450$	−6.67499	−	13.4330i	−0.314662	−	0.633236i
$451$	−24.4348	+	2.56820i	−1.15059	+	0.120932i
$452$	12.6805	−	14.0831i	0.596441	−	0.662414i
$453$	1.50241	+	17.2231i	0.0705895	+	0.809214i
$454$	1.65770	−	15.7720i	0.0777999	−	0.740216i
$455$	19.7502	−	26.4259i	0.925905	−	1.23886i
$456$	2.96399	−	1.64198i	0.138801	−	0.0768927i
$457$	9.81196	−	7.12881i	0.458984	−	0.333471i	−0.334149	−	0.942520i	$-0.608449\pi$
$457$	9.81196	−	7.12881i	0.458984	−	0.333471i	0.793133	+	0.609049i	$0.208449\pi$
$458$	1.93258	+	4.34065i	0.0903035	+	0.202825i
$459$	20.7504	+	25.6647i	0.968546	+	1.19792i
$460$	14.6751	+	4.98831i	0.684229	+	0.232581i
$461$	18.8779	+	13.7156i	0.879231	+	0.638799i	0.933048	−	0.359752i	$-0.117139\pi$
$461$	18.8779	+	13.7156i	0.879231	+	0.638799i	−0.0538170	+	0.998551i	$0.517139\pi$
$462$	17.7226	+	20.3980i	0.824530	+	0.949002i
$463$	−1.56478	+	4.81591i	−0.0727216	+	0.223814i	−0.980811	−	0.194963i	$-0.937541\pi$
$463$	−1.56478	+	4.81591i	−0.0727216	+	0.223814i	0.908089	+	0.418777i	$0.137541\pi$
$464$	1.10931			0.0514986
$465$	18.7422	+	10.6644i	0.869148	+	0.494551i
$466$	−24.9406			−1.15535
$467$	5.45319	−	16.7832i	0.252343	−	0.776633i	−0.741998	−	0.670402i	$-0.766122\pi$
$467$	5.45319	−	16.7832i	0.252343	−	0.776633i	0.994341	−	0.106231i	$-0.0338783\pi$
$468$	−1.10038	−	15.8521i	−0.0508650	−	0.732763i
$469$	12.4273	+	9.02897i	0.573840	+	0.416919i
$470$	−7.82384	+	23.0169i	−0.360887	+	1.06169i
$471$	18.6031	−	7.89096i	0.857186	−	0.363596i
$472$	−1.00033	−	2.24679i	−0.0460441	−	0.103417i
$473$	−5.36568	+	3.89840i	−0.246714	+	0.179248i
$474$	−7.88617	−	14.2356i	−0.362224	−	0.653862i
$475$	0.759355	+	9.75197i	0.0348416	+	0.447451i
$476$	1.84934	−	17.5953i	0.0847644	−	0.806480i
$477$	14.8139	+	9.26724i	0.678282	+	0.424318i
$478$	−3.26649	+	3.62781i	−0.149406	+	0.165932i
$479$	−24.2946	+	2.55347i	−1.11005	+	0.116671i	−0.641761	−	0.766905i	$-0.721796\pi$
$479$	−24.2946	+	2.55347i	−1.11005	+	0.116671i	−0.468289	+	0.883576i	$0.655129\pi$
$480$	1.46410	+	3.58558i	0.0668267	+	0.163659i
$481$	6.35841	+	19.5692i	0.289918	+	0.892277i
$482$	−0.933245	+	0.0980880i	−0.0425082	+	0.00446779i
$483$	−6.37278	−	32.8297i	−0.289972	−	1.49380i
$484$	13.6296	+	15.1372i	0.619529	+	0.688057i
$485$	−4.17708	−	5.91564i	−0.189672	−	0.268616i
$486$	1.88006	+	15.4747i	0.0852814	+	0.701945i
$487$	−18.2894	−	8.14298i	−0.828773	−	0.368994i	−0.0519013	−	0.998652i	$-0.516528\pi$
$487$	−18.2894	−	8.14298i	−0.828773	−	0.368994i	−0.776872	+	0.629659i	$0.783195\pi$
$488$	−7.44054	−	10.2410i	−0.336817	−	0.463589i
$489$	−34.3287	−	7.93460i	−1.55240	−	0.358815i
$490$	1.66446	−	0.330364i	0.0751927	−	0.0149243i
$491$	3.30420	+	5.72305i	0.149117	+	0.258277i	0.930901	−	0.365271i	$-0.119024\pi$
$491$	3.30420	+	5.72305i	0.149117	+	0.258277i	−0.781785	+	0.623549i	$0.785690\pi$
$492$	2.21961	+	7.26664i	0.100068	+	0.327605i
$493$	1.46493	−	6.89194i	0.0659770	−	0.310397i
$494$	−3.20204	+	9.85487i	−0.144067	+	0.443391i
$495$	−20.3544	+	31.5802i	−0.914861	+	1.41943i
$496$	−4.62392	−	3.10151i	−0.207620	−	0.139262i
$497$	44.7393			2.00683
$498$	9.78480	−	6.84768i	0.438467	−	0.306852i
$499$	1.73298	−	8.15303i	0.0775788	−	0.364980i	−0.922184	−	0.386751i	$-0.873597\pi$
$499$	1.73298	−	8.15303i	0.0775788	−	0.364980i	0.999763	+	0.0217715i	$0.00693062\pi$
$500$	−11.1712	−	0.452844i	−0.499590	−	0.0202518i
$501$	−2.40471	+	19.5437i	−0.107435	+	0.873147i
$502$	−6.21806	+	10.7700i	−0.277526	+	0.480689i
$503$	23.7564	−	10.5771i	1.05925	−	0.471607i	0.198216	−	0.980158i	$-0.436485\pi$
$503$	23.7564	−	10.5771i	1.05925	−	0.471607i	0.861032	+	0.508551i	$0.169819\pi$
$504$	5.14809	−	6.58234i	0.229314	−	0.293201i
$505$	14.1860	−	4.39842i	0.631269	−	0.195727i
$506$	−8.07178	−	37.9747i	−0.358834	−	1.68818i
$507$	19.0669	+	17.7893i	0.846792	+	0.790050i
$508$	5.81374	+	6.45681i	0.257943	+	0.286475i
$509$	0.426920	−	0.474143i	0.0189229	−	0.0210160i	−0.733609	−	0.679572i	$-0.762166\pi$
$509$	0.426920	−	0.474143i	0.0189229	−	0.0210160i	0.752532	+	0.658556i	$0.228832\pi$
$510$	24.2099	−	4.36114i	1.07203	−	0.193114i
$511$	13.0389	−	4.23661i	0.576809	−	0.187417i
$512$	−0.309017	−	0.951057i	−0.0136568	−	0.0420312i
$513$	2.63845	−	9.81684i	0.116490	−	0.433424i
$514$	17.2984	−	19.2118i	0.763001	−	0.847398i
$515$	−11.7640	−	1.39731i	−0.518382	−	0.0615726i
$516$	1.49969	+	1.39919i	0.0660200	+	0.0615961i
$517$	59.5609	−	12.6601i	2.61949	−	0.556789i
$518$	−4.40119	+	9.88523i	−0.193377	+	0.434332i
$519$	0.185231	−	10.4593i	0.00813072	−	0.459112i
$520$	−10.7539	−	4.96302i	−0.471589	−	0.217643i
$521$	−30.7412	−	17.7484i	−1.34680	−	0.777573i	−0.359002	−	0.933337i	$-0.616883\pi$
$521$	−30.7412	−	17.7484i	−1.34680	−	0.777573i	−0.987794	+	0.155764i	$0.950216\pi$
$522$	2.31300	−	2.39274i	0.101237	−	0.104728i
$523$	−25.4889	−	18.5188i	−1.11455	−	0.809769i	−0.131177	−	0.991359i	$-0.541876\pi$
$523$	−25.4889	−	18.5188i	−1.11455	−	0.809769i	−0.983374	+	0.181590i	$0.941876\pi$
$524$	4.06678	−	19.1327i	0.177658	−	0.835816i
$525$	11.1155	+	21.4094i	0.485122	+	0.934382i
$526$			8.77818i			0.382747i
$527$	−25.3752	+	24.6317i	−1.10536	+	1.07298i
$528$	5.84012	−	7.74600i	0.254159	−	0.337101i
$529$	−7.74035	+	23.8223i	−0.336537	+	1.03575i
$530$	11.3662	−	6.35919i	0.493716	−	0.276225i
$531$	−6.93200	−	2.52704i	−0.300823	−	0.109664i
$532$	−4.71917	+	2.72461i	−0.204602	+	0.118127i
$533$	−20.1225	−	11.6178i	−0.871604	−	0.503221i
$534$	−1.38733	+	6.00223i	−0.0600357	+	0.259742i
$535$	−34.1652	−	7.74571i	−1.47709	−	0.334876i
$536$	2.24302	−	5.03790i	0.0968837	−	0.217604i
$537$	−2.11142	+	4.52495i	−0.0911146	+	0.195266i
$538$	−1.79113	+	17.0414i	−0.0772209	+	0.734708i
$539$	−2.84408	−	3.15867i	−0.122503	−	0.136053i
$540$	10.7867	+	4.31820i	0.464186	+	0.185826i
$541$	−2.44292	−	23.2429i	−0.105029	−	0.999289i	−0.912416	−	0.409265i	$-0.865785\pi$
$541$	−2.44292	−	23.2429i	−0.105029	−	0.999289i	0.807386	−	0.590024i	$-0.200882\pi$
$542$	5.61118	−	1.82318i	0.241021	−	0.0783125i
$543$	0.897141	−	2.60334i	0.0385000	−	0.111720i
$544$	−6.31680	+	0.663922i	−0.270831	+	0.0284654i
$545$	0.687017	+	0.00927865i	0.0294286	+	0.000397454i
$546$	2.22075	+	25.4580i	0.0950395	+	1.08950i
$547$	−4.41471	−	0.464004i	−0.188759	−	0.0198394i	0.00967713	−	0.999953i	$-0.496920\pi$
$547$	−4.41471	−	0.464004i	−0.188759	−	0.0198394i	−0.198436	+	0.980114i	$0.563586\pi$
$548$	−1.62904	−	7.66403i	−0.0695891	−	0.327391i
$549$	−37.6035	−	5.30435i	−1.60488	−	0.226384i
$550$	13.3420	+	24.6216i	0.568904	+	1.04987i
$551$	−1.98253	+	0.882679i	−0.0844586	+	0.0376034i
$552$	−11.0528	+	4.68832i	−0.470439	+	0.199548i
$553$	13.0859	+	22.6654i	0.556469	+	0.963833i
$554$	2.79424	+	2.03013i	0.118716	+	0.0862521i
$555$	−14.9066	−	2.03886i	−0.632749	−	0.0865448i
$556$	−1.43394	−	0.465914i	−0.0608124	−	0.0197592i
$557$		−	1.24553i		−	0.0527748i	−0.999652	−	0.0263874i	$-0.991600\pi$
$557$		−	1.24553i		−	0.0527748i	0.999652	−	0.0263874i	$-0.00840035\pi$
$558$	−16.3310	+	3.50674i	−0.691348	+	0.148452i
$559$	−6.27227			−0.265289
$560$	−2.45629	−	5.72373i	−0.103797	−	0.241872i
$561$	−40.4120	−	46.5126i	−1.70620	−	1.96376i
$562$	−11.9376	+	16.4307i	−0.503556	+	0.693086i
$563$	−14.3689	−	24.8877i	−0.605579	−	1.04889i	−0.991960	−	0.126554i	$-0.959608\pi$
$563$	−14.3689	−	24.8877i	−0.605579	−	1.04889i	0.386381	−	0.922339i	$-0.373725\pi$
$564$	−7.35332	−	17.3356i	−0.309631	−	0.729961i
$565$	−38.4753	−	17.7567i	−1.61867	−	0.747030i
$566$	13.8486	+	19.0610i	0.582100	+	0.801192i
$567$	−3.46370	−	24.8289i	−0.145462	−	1.04271i
$568$	−3.33940	−	15.7106i	−0.140118	−	0.659204i
$569$	−0.696805	+	6.62965i	−0.0292116	+	0.277930i	0.970159	+	0.242468i	$0.0779569\pi$
$569$	−0.696805	+	6.62965i	−0.0292116	+	0.277930i	−0.999371	+	0.0354618i	$0.988710\pi$
$570$	−5.46964	−	5.24306i	−0.229098	−	0.219608i
$571$	12.3699	+	11.1379i	0.517664	+	0.466107i	0.886066	−	0.463560i	$-0.153428\pi$
$571$	12.3699	+	11.1379i	0.517664	+	0.466107i	−0.368401	+	0.929667i	$0.620095\pi$
$572$	3.10095	+	29.5036i	0.129657	+	1.23361i
$573$	6.35645	−	18.4452i	0.265545	−	0.770561i
$574$	−3.77594	−	11.6211i	−0.157605	−	0.485057i
$575$	0.936003	−	34.6458i	0.0390340	−	1.44483i
$576$	−2.69571	−	1.31649i	−0.112321	−	0.0548536i
$577$	−29.7767	+	26.8111i	−1.23962	+	1.11616i	−0.250647	+	0.968079i	$0.580643\pi$
$577$	−29.7767	+	26.8111i	−1.23962	+	1.11616i	−0.988975	+	0.148082i	$0.952690\pi$
$578$	−2.43998	+	23.2149i	−0.101490	+	0.965611i
$579$	20.3729	+	9.50636i	0.846669	+	0.395071i
$580$	−0.734589	−	2.36923i	−0.0305021	−	0.0983770i
$581$	−15.5384	+	11.2893i	−0.644642	+	0.468360i
$582$	5.46534	+	1.26324i	0.226546	+	0.0523629i
$583$	−28.2519	−	16.3113i	−1.17008	−	0.675544i
$584$	−2.46097	−	4.26253i	−0.101836	−	0.176385i
$585$	−33.1277	+	12.8474i	−1.36966	+	0.531175i
$586$	12.8382	+	2.72883i	0.530339	+	0.112727i
$587$	−9.24334	−	3.00334i	−0.381514	−	0.123961i	0.111981	−	0.993710i	$-0.464281\pi$
$587$	−9.24334	−	3.00334i	−0.381514	−	0.123961i	−0.493494	+	0.869749i	$0.664281\pi$
$588$	−0.791315	+	1.04955i	−0.0326333	+	0.0432829i
$589$	10.7316	+	1.86366i	0.442187	+	0.0767909i
$590$	−4.13619	+	3.62430i	−0.170284	+	0.149210i
$591$	5.74078	−	4.01756i	0.236144	−	0.165260i
$592$	3.79980	+	0.807673i	0.156171	+	0.0331952i
$593$	1.92654	+	1.39972i	0.0791136	+	0.0574794i	0.626639	−	0.779310i	$-0.284430\pi$
$593$	1.92654	+	1.39972i	0.0791136	+	0.0574794i	−0.547525	+	0.836789i	$0.684430\pi$
$594$	−4.53072	−	28.7479i	−0.185898	−	1.17954i
$595$	−38.8041	+	7.70187i	−1.59081	+	0.315746i
$596$	2.03228	+	4.56458i	0.0832456	+	0.186973i
$597$	−26.5002	−	0.469311i	−1.08458	−	0.0192076i
$598$	14.9335	−	33.5412i	0.610676	−	1.37160i
$599$	0.271888	+	1.27913i	0.0111091	+	0.0522640i	0.983353	−	0.181705i	$-0.0581618\pi$
$599$	0.271888	+	1.27913i	0.0111091	+	0.0522640i	−0.972244	+	0.233969i	$0.924828\pi$
$600$	6.68843	−	5.50135i	0.273054	−	0.224592i
$601$	−8.98038	+	8.08597i	−0.366317	+	0.329834i	−0.831648	−	0.555303i	$-0.812602\pi$
$601$	−8.98038	+	8.08597i	−0.366317	+	0.329834i	0.465331	+	0.885137i	$0.345935\pi$
$602$	−2.45126	−	2.20712i	−0.0999058	−	0.0899556i
$603$	−6.18969	−	15.3425i	−0.252064	−	0.624795i
$604$	−9.49302	+	3.08447i	−0.386265	+	0.125505i
$605$	23.3040	−	39.1336i	0.947444	−	1.59101i
$606$	−5.92776	+	9.85977i	−0.240799	+	0.400526i
$607$	28.0733	+	25.2773i	1.13946	+	1.02597i	0.999358	+	0.0358361i	$0.0114094\pi$
$607$	28.0733	+	25.2773i	1.13946	+	1.02597i	0.140101	+	0.990137i	$0.455257\pi$
$608$	1.30902	+	1.45381i	0.0530877	+	0.0589599i
$609$	−3.65104	+	3.91326i	−0.147948	+	0.158573i
$610$	−16.9453	+	22.6728i	−0.686094	+	0.917997i
$611$	52.6071	+	23.4222i	2.12826	+	0.947561i
$612$	−11.7389	+	15.0094i	−0.474518	+	0.606719i
$613$	−18.7717	+	8.35770i	−0.758182	+	0.337564i	−0.749155	−	0.662395i	$-0.769540\pi$
$613$	−18.7717	+	8.35770i	−0.758182	+	0.337564i	−0.00902722	+	0.999959i	$0.502873\pi$
$614$	−5.75483	−	3.32255i	−0.232246	−	0.134087i
$615$	14.0500	−	9.55255i	0.566551	−	0.385196i
$616$	−9.17001	+	12.6214i	−0.369470	+	0.508532i
$617$	15.4575	+	3.28559i	0.622295	+	0.132273i	0.508260	−	0.861204i	$-0.330289\pi$
$617$	15.4575	+	3.28559i	0.622295	+	0.132273i	0.114035	+	0.993477i	$0.463622\pi$
$618$	7.51819	−	5.26144i	0.302426	−	0.211646i
$619$			36.2704i			1.45783i	0.684603	+	0.728916i	$0.259975\pi$
$619$			36.2704i			1.45783i	−0.684603	+	0.728916i	$0.740025\pi$
$620$	−3.56212	+	11.9294i	−0.143058	+	0.479097i
$621$	−12.9334	+	33.6159i	−0.519000	+	1.34896i
$622$	−2.75037	−	0.893650i	−0.110280	−	0.0358321i
$623$	2.05983	−	9.69075i	0.0825255	−	0.388252i
$624$	8.77405	−	2.68005i	0.351243	−	0.107288i
$625$	6.43039	+	24.1589i	0.257216	+	0.966354i
$626$	5.79814	−	10.0427i	0.231740	−	0.401386i
$627$	−4.27380	+	18.4904i	−0.170679	+	0.738434i
$628$	6.85757	+	9.43864i	0.273647	+	0.376643i
$629$	10.0358	−	22.5408i	0.400154	−	0.898761i
$630$	−17.4674	−	6.63627i	−0.695918	−	0.264395i
$631$	27.0319	+	2.84117i	1.07612	+	0.113105i	0.625971	−	0.779846i	$-0.284703\pi$
$631$	27.0319	+	2.84117i	1.07612	+	0.113105i	0.450153	+	0.892952i	$0.351370\pi$
$632$	6.98244	−	6.28702i	0.277747	−	0.250084i
$633$	−6.40111	−	32.9756i	−0.254421	−	1.31066i
$634$	2.00964	+	19.1204i	0.0798129	+	0.759369i
$635$	9.94037	−	16.6925i	0.394471	−	0.662421i
$636$	−3.28692	+	9.53803i	−0.130335	+	0.378208i
$637$	−0.420168	−	3.99763i	−0.0166477	−	0.158392i
$638$	−4.15735	+	4.61721i	−0.164591	+	0.182797i
$639$	−40.8501	−	25.5549i	−1.61601	−	1.01094i
$640$	−1.82660	+	1.28978i	−0.0722028	+	0.0509830i
$641$	−17.2759	+	3.67211i	−0.682358	+	0.145040i	−0.536033	−	0.844197i	$-0.680078\pi$
$641$	−17.2759	+	3.67211i	−0.682358	+	0.145040i	−0.146325	+	0.989237i	$0.546744\pi$
$642$	23.7369	−	13.1497i	0.936821	−	0.518977i
$643$	33.9480	−	24.6647i	1.33878	−	0.972679i	0.339290	−	0.940682i	$-0.389813\pi$
$643$	33.9480	−	24.6647i	1.33878	−	0.972679i	0.999488	−	0.0319970i	$-0.0101867\pi$
$644$	17.6388	−	7.85330i	0.695066	−	0.309463i
$645$	1.99526	−	4.12953i	0.0785631	−	0.162600i
$646$	10.7609	−	6.21281i	0.423382	−	0.244440i
$647$	−14.6106	+	20.1098i	−0.574402	+	0.790597i	−0.993068	−	0.117543i	$-0.962498\pi$
$647$	−14.6106	+	20.1098i	−0.574402	+	0.790597i	0.418665	+	0.908141i	$0.362498\pi$
$648$	−8.46036	+	3.06957i	−0.332354	+	0.120584i
$649$	13.1006	+	4.25663i	0.514242	+	0.167087i
$650$	−3.47861	+	26.2543i	−0.136442	+	1.02978i
$651$	26.1595	−	6.10369i	1.02527	−	0.239222i
$652$		−	20.3422i		−	0.796662i
$653$	−5.18948	+	15.9716i	−0.203080	+	0.625016i	0.796707	+	0.604366i	$0.206574\pi$
$653$	−5.18948	+	15.9716i	−0.203080	+	0.625016i	−0.999787	+	0.0206500i	$0.993426\pi$
$654$	−0.401752	+	0.349059i	−0.0157098	+	0.0136493i
$655$	−43.5560	+	3.98401i	−1.70187	+	0.155668i
$656$	−3.79904	+	2.19338i	−0.148327	+	0.0856369i
$657$	−14.3254	−	3.57947i	−0.558887	−	0.139648i
$658$	12.3174	+	27.6653i	0.480182	+	1.07851i
$659$	18.7700	+	25.8347i	0.731175	+	1.00638i	0.999078	+	0.0429303i	$0.0136694\pi$
$659$	18.7700	+	25.8347i	0.731175	+	1.00638i	−0.267903	+	0.963446i	$0.586331\pi$
$660$	−20.4110	−	7.34371i	−0.794496	−	0.285854i
$661$	14.8948	−	3.16598i	0.579339	−	0.123142i	0.0910838	−	0.995843i	$-0.470967\pi$
$661$	14.8948	−	3.16598i	0.579339	−	0.123142i	0.488255	+	0.872701i	$0.337634\pi$
$662$	1.47190	+	0.154703i	0.0572070	+	0.00601270i
$663$	−5.06388	−	58.0506i	−0.196665	−	2.25450i
$664$	5.12416	+	4.61382i	0.198856	+	0.179051i
$665$	8.94417	+	8.27479i	0.346840	+	0.320883i
$666$	9.66499	−	6.51196i	0.374511	−	0.252333i
$667$	7.31307	−	2.37616i	0.283163	−	0.0920053i
$668$	−11.3064	+	1.18835i	−0.437456	+	0.0459785i
$669$	3.31323	+	17.0683i	0.128097	+	0.659897i
$670$	−12.2451	−	1.45446i	−0.473070	−	0.0561905i
$671$	70.5101	+	7.41091i	2.72201	+	0.286095i
$672$	4.37204	+	2.04007i	0.168655	+	0.0786975i
$673$	19.5388	+	8.69923i	0.753165	+	0.335330i	0.747154	−	0.664651i	$-0.231420\pi$
$673$	19.5388	+	8.69923i	0.753165	+	0.335330i	0.00601105	+	0.999982i	$0.498087\pi$
$674$	−16.2715	+	11.8219i	−0.626754	+	0.455363i
$675$	2.07970	−	25.8974i	0.0800475	−	0.996791i
$676$	−7.52776	+	13.0385i	−0.289529	+	0.501479i
$677$	−25.4972	+	14.7208i	−0.979937	+	0.565767i	−0.902251	−	0.431211i	$-0.858086\pi$
$677$	−25.4972	+	14.7208i	−0.979937	+	0.565767i	−0.0776859	+	0.996978i	$0.524753\pi$
$678$	31.3918	−	9.58870i	1.20559	−	0.368252i
$679$	−8.82394	−	1.87559i	−0.338632	−	0.0719784i
$680$	5.60097	+	13.0515i	0.214787	+	0.500504i
$681$	16.5365	−	21.9330i	0.633679	−	0.840475i
$682$	30.2381	−	7.62233i	1.15788	−	0.291874i
$683$	−18.9864			−0.726493			−0.363247	−	0.931693i	$-0.618332\pi$
$683$	−18.9864			−0.726493			−0.363247	+	0.931693i	$0.618332\pi$
$684$	5.86522	+	0.207807i	0.224262	+	0.00794571i
$685$	−15.2898	+	8.55437i	−0.584194	+	0.326846i
$686$	−10.2183	+	14.0643i	−0.390138	+	0.536979i
$687$	−1.00503	+	8.16812i	−0.0383443	+	0.311633i
$688$	−0.592087	+	1.02553i	−0.0225731	+	0.0390978i
$689$	−12.5484	−	28.1842i	−0.478056	−	1.07373i
$690$	17.3323	+	20.5016i	0.659830	+	0.780482i
$691$	12.1261	+	5.39891i	0.461300	+	0.205384i	0.624210	−	0.781257i	$-0.285421\pi$
$691$	12.1261	+	5.39891i	0.461300	+	0.205384i	−0.162909	+	0.986641i	$0.552088\pi$
$692$	5.90764	−	1.25571i	0.224575	−	0.0477349i
$693$	8.10377	+	46.0960i	0.307837	+	1.75104i
$694$	16.5228	−	14.8772i	0.627196	−	0.564730i
$695$	−0.0455288	+	3.37108i	−0.00172701	+	0.127872i
$696$	1.64670	+	0.990007i	0.0624180	+	0.0375261i
$697$	8.61010	+	26.4992i	0.326131	+	1.00373i
$698$	−2.50787	−	7.71842i	−0.0949241	−	0.292146i
$699$	−37.0225	−	22.2582i	−1.40032	−	0.841882i
$700$	−10.5980	+	9.03633i	−0.400566	+	0.341541i
$701$	−9.16543	+	8.25259i	−0.346174	+	0.311696i	−0.823815	−	0.566859i	$-0.808158\pi$
$701$	−9.16543	+	8.25259i	−0.346174	+	0.311696i	0.477641	+	0.878555i	$0.341492\pi$
$702$	12.5138	−	24.5134i	0.472302	−	0.925197i
$703$	−7.43355	+	1.58005i	−0.280362	+	0.0595927i
$704$	5.11660	+	2.27806i	0.192839	+	0.0858576i
$705$	−32.1554	+	27.1846i	−1.21104	+	1.02383i
$706$	−8.81378	−	19.7961i	−0.331711	−	0.745035i
$707$	9.25075	−	16.0228i	0.347910	−	0.602598i
$708$	0.520219	−	4.22795i	0.0195510	−	0.158896i
$709$	25.9870	−	35.7680i	0.975962	−	1.34330i	0.0369846	−	0.999316i	$-0.488225\pi$
$709$	25.9870	−	35.7680i	0.975962	−	1.34330i	0.938977	−	0.343980i	$-0.111775\pi$
$710$	−31.3429	+	17.5358i	−1.17628	+	0.658106i
$711$	0.998066	−	28.1697i	0.0374304	−	1.05645i
$712$	−3.55675			−0.133295
$713$	−37.1263	−	10.5420i	−1.39039	−	0.394800i
$714$	18.4482	−	24.4686i	0.690405	−	0.915713i
$715$	60.9593	−	26.1602i	2.27975	−	0.978337i
$716$	−2.81990	−	0.599388i	−0.105385	−	0.0224002i
$717$	−8.08651	+	2.47004i	−0.301996	+	0.0922455i
$718$	−24.6987	+	14.2598i	−0.921749	+	0.532172i
$719$	−5.26197	+	9.11400i	−0.196238	+	0.339895i	−0.947306	−	0.320331i	$-0.896206\pi$
$719$	−5.26197	+	9.11400i	−0.196238	+	0.339895i	0.751067	+	0.660225i	$0.229539\pi$
$720$	−1.02660	+	6.62918i	−0.0382591	+	0.247055i
$721$	−11.9390	+	8.67419i	−0.444632	+	0.323044i
$722$	13.8611	+	6.17137i	0.515858	+	0.229675i
$723$	−1.47288	−	0.687270i	−0.0547768	−	0.0255598i
$724$	1.58107	+	0.166177i	0.0587601	+	0.00617594i
$725$	−4.57368	+	3.13782i	−0.169862	+	0.116536i
$726$	6.72301	+	34.6340i	0.249514	+	1.28539i
$727$	−18.7985	+	1.97580i	−0.697197	+	0.0732784i	−0.446495	−	0.894786i	$-0.647328\pi$
$727$	−18.7985	+	1.97580i	−0.697197	+	0.0732784i	−0.250702	+	0.968064i	$0.580661\pi$
$728$	−14.0319	+	4.55923i	−0.520055	+	0.168976i
$729$	−11.0195	+	24.6489i	−0.408131	+	0.912923i
$730$	−7.47409	+	8.07870i	−0.276629	+	0.299006i
$731$	5.58949	+	5.03280i	0.206735	+	0.186145i
$732$	−1.90536	−	21.8424i	−0.0704241	−	0.807318i
$733$	8.48784	+	0.892108i	0.313506	+	0.0329508i	0.259975	−	0.965615i	$-0.416286\pi$
$733$	8.48784	+	0.892108i	0.313506	+	0.0329508i	0.0535309	+	0.998566i	$0.482952\pi$
$734$	5.36131	−	1.13958i	0.197890	−	0.0420628i
$735$	2.76561	+	0.995046i	0.102011	+	0.0367028i
$736$	−4.07434	−	5.60785i	−0.150182	−	0.206708i
$737$	12.5627	+	28.2164i	0.462755	+	1.03936i
$738$	−3.19025	+	12.7677i	−0.117435	+	0.469986i
$739$	−26.3628	+	15.2206i	−0.969772	+	0.559898i	−0.899167	−	0.437607i	$-0.855826\pi$
$739$	−26.3628	+	15.2206i	−0.969772	+	0.559898i	−0.0706049	+	0.997504i	$0.522493\pi$
$740$	−0.791234	−	8.65033i	−0.0290863	−	0.317992i
$741$	−13.5482	+	11.7712i	−0.497705	+	0.432426i
$742$	5.01358	−	15.4302i	0.184054	−	0.566461i
$743$			41.9847i			1.54027i	0.637882	+	0.770134i	$0.279811\pi$
$743$			41.9847i			1.54027i	−0.637882	+	0.770134i	$0.720189\pi$
$744$	−4.09595	−	8.73059i	−0.150165	−	0.320079i
$745$	8.40309	−	7.36315i	0.307866	−	0.269765i
$746$	−5.17616	−	1.68184i	−0.189513	−	0.0615764i
$747$	20.6361	−	1.43246i	0.755034	−	0.0524109i
$748$	20.9099	−	28.7801i	0.764543	−	1.05230i
$749$	−37.7932	+	21.8199i	−1.38093	+	0.797282i
$750$	−16.1787	−	10.6419i	−0.590762	−	0.388588i
$751$	−6.42254	+	2.85950i	−0.234362	+	0.104345i	−0.520558	−	0.853827i	$-0.674276\pi$
$751$	−6.42254	+	2.85950i	−0.234362	+	0.104345i	0.286196	+	0.958171i	$0.407609\pi$
$752$	8.79555	−	6.39034i	0.320741	−	0.233032i
$753$	−18.8420	+	10.4380i	−0.686639	+	0.380382i
$754$	−5.74735	+	1.22164i	−0.209306	+	0.0444894i
$755$	12.8740	+	18.2323i	0.468532	+	0.663542i
$756$	13.5164	−	5.17662i	0.491586	−	0.188272i
$757$	35.6769	−	39.6232i	1.29670	−	1.44013i	0.464578	−	0.885532i	$-0.346206\pi$
$757$	35.6769	−	39.6232i	1.29670	−	1.44013i	0.832119	−	0.554596i	$-0.187127\pi$
$758$	−2.28072	−	21.6996i	−0.0828394	−	0.788164i
$759$	21.9086	−	63.5745i	0.795231	−	2.30761i
$760$	2.23817	−	3.75847i	0.0811869	−	0.136334i
$761$	−3.12628	−	29.7446i	−0.113328	−	1.07824i	−0.892381	−	0.451283i	$-0.850967\pi$
$761$	−3.12628	−	29.7446i	−0.113328	−	1.07824i	0.779053	−	0.626958i	$-0.215700\pi$
$762$	2.86771	+	14.7732i	0.103886	+	0.535175i
$763$	0.636056	−	0.572707i	0.0230268	−	0.0207334i
$764$	11.2023	+	1.17741i	0.405284	+	0.0425970i
$765$	39.8301	+	15.1324i	1.44006	+	0.547112i
$766$	13.5368	−	30.4042i	0.489105	−	1.09855i
$767$	7.65702	+	10.5390i	0.276479	+	0.380541i
$768$	0.390056	−	1.68756i	0.0140749	−	0.0608945i
$769$	6.54489	−	11.3361i	0.236015	−	0.408789i	−0.723552	−	0.690269i	$-0.757492\pi$
$769$	6.54489	−	11.3361i	0.236015	−	0.408789i	0.959567	+	0.281480i	$0.0908253\pi$
$770$	33.0288	+	11.2271i	1.19028	+	0.404595i
$771$	42.8239	−	13.0807i	1.54227	−	0.471089i
$772$	−2.69865	+	12.6962i	−0.0971267	+	0.456945i
$773$	29.4538	+	9.57012i	1.05938	+	0.344213i	0.786343	−	0.617790i	$-0.211972\pi$
$773$	29.4538	+	9.57012i	1.05938	+	0.344213i	0.273037	+	0.962004i	$0.411972\pi$
$774$	0.977470	+	3.41540i	0.0351344	+	0.122764i
$775$	27.8373	−	0.291831i	0.999945	−	0.0104829i
$776$			3.23861i			0.116259i
$777$	−15.3553	+	10.7461i	−0.550869	+	0.385514i
$778$	21.2921	+	4.52578i	0.763360	+	0.162257i
$779$	5.04425	−	6.94282i	0.180729	−	0.248752i
$780$	−11.5341	−	16.9646i	−0.412989	−	0.607429i
$781$	77.9062	+	44.9791i	2.78770	+	1.60948i
$782$	−40.2209	+	17.9075i	−1.43830	+	0.640371i
$783$	5.56889	−	1.48762i	0.199016	−	0.0531633i
$784$	−0.693281	−	0.308668i	−0.0247600	−	0.0110239i
$785$	15.6176	−	20.8964i	0.557417	−	0.745826i
$786$	23.1118	−	24.7718i	0.824372	−	0.883580i
$787$	4.58569	+	5.09293i	0.163462	+	0.181543i	0.819312	−	0.573349i	$-0.194356\pi$
$787$	4.58569	+	5.09293i	0.163462	+	0.181543i	−0.655849	+	0.754892i	$0.727689\pi$
$788$	3.00636	+	2.70694i	0.107097	+	0.0964308i
$789$	−7.83409	+	13.0306i	−0.278901	+	0.463902i
$790$	−18.0514	−	10.7496i	−0.642239	−	0.382453i
$791$	−50.2032	+	16.3120i	−1.78502	+	0.579989i
$792$	15.5822	−	6.28638i	0.553688	−	0.223377i
$793$	49.8274	+	44.8648i	1.76942	+	1.59320i
$794$	7.14908	−	6.43706i	0.253711	−	0.228443i
$795$	22.5476	+	0.704000i	0.799681	+	0.0249683i
$796$	−3.18153	−	14.9679i	−0.112766	−	0.530524i
$797$	−8.36153	+	18.7803i	−0.296181	+	0.665232i	−0.998932	−	0.0462029i	$-0.985288\pi$
$797$	−8.36153	+	18.7803i	−0.296181	+	0.665232i	0.702751	+	0.711435i	$0.251955\pi$
$798$	−9.43686	−	0.167124i	−0.334061	−	0.00591611i
$799$	−28.0867	−	63.0839i	−0.993638	−	2.23175i
$800$	3.96424	+	3.04710i	0.140157	+	0.107731i
$801$	−7.41608	+	7.67176i	−0.262034	+	0.271068i
$802$	3.82449	+	2.77866i	0.135048	+	0.0981178i
$803$	26.9645	+	5.73148i	0.951556	+	0.202260i
$804$	7.82568	−	5.47663i	0.275991	−	0.193146i
$805$	−28.4532	−	32.4719i	−1.00284	−	1.14448i
$806$	27.3721	+	10.9768i	0.964141	+	0.386641i
$807$	−17.8674	+	23.6983i	−0.628963	+	0.834220i
$808$	−6.31704	−	2.05253i	−0.222233	−	0.0722077i
$809$	32.2664	+	6.85843i	1.13442	+	0.241129i	0.736598	−	0.676331i	$-0.236431\pi$
$809$	32.2664	+	6.85843i	1.13442	+	0.241129i	0.397827	+	0.917460i	$0.369764\pi$
$810$	12.1583	+	16.0367i	0.427200	+	0.563471i
$811$	−13.1076	−	22.7030i	−0.460269	−	0.797208i	0.538706	−	0.842494i	$-0.318914\pi$
$811$	−13.1076	−	22.7030i	−0.460269	−	0.797208i	−0.998974	+	0.0452857i	$0.985580\pi$
$812$	−2.67599	−	1.54498i	−0.0939089	−	0.0542183i
$813$	9.95651	+	2.30131i	0.349190	+	0.0807105i
$814$	−17.6022	+	12.7887i	−0.616955	+	0.448244i
$815$	−43.4461	+	13.4706i	−1.52185	+	0.471855i
$816$	−9.96937	−	4.65188i	−0.348998	−	0.162848i
$817$	0.242151	−	2.30391i	0.00847177	−	0.0806035i
$818$	14.8737	−	13.3923i	0.520047	−	0.468252i
$819$	−19.4234	+	39.7725i	−0.678708	+	1.38976i
$820$	7.20026	+	6.66139i	0.251444	+	0.232626i
$821$	5.14016	+	15.8198i	0.179393	+	0.552114i	0.999807	−	0.0196557i	$-0.00625701\pi$
$821$	5.14016	+	15.8198i	0.179393	+	0.552114i	−0.820414	+	0.571770i	$0.806257\pi$
$822$	4.42157	−	12.8306i	0.154220	−	0.447517i
$823$	0.450295	+	4.28427i	0.0156963	+	0.149340i	0.999563	−	0.0295633i	$-0.00941166\pi$
$823$	0.450295	+	4.28427i	0.0156963	+	0.149340i	−0.983867	+	0.178904i	$0.942745\pi$
$824$	3.93717	+	3.54504i	0.137158	+	0.123497i
$825$	−2.16828	+	48.4560i	−0.0754899	+	1.68702i
$826$	−0.716088	+	6.81312i	−0.0249159	+	0.237059i
$827$	−5.31594	−	25.0095i	−0.184853	−	0.869667i	−0.968607	−	0.248595i	$-0.920031\pi$
$827$	−5.31594	−	25.0095i	−0.184853	−	0.869667i	0.783754	−	0.621071i	$-0.213302\pi$
$828$	−20.5912	−	2.90460i	−0.715594	−	0.100942i
$829$	−29.0543	−	39.9899i	−1.00910	−	1.38891i	−0.919572	−	0.392921i	$-0.871465\pi$
$829$	−29.0543	−	39.9899i	−1.00910	−	1.38891i	−0.0895266	−	0.995984i	$-0.528535\pi$
$830$	6.46080	−	13.9993i	0.224258	−	0.485922i
$831$	2.33606	+	5.50731i	0.0810371	+	0.191047i
$832$	2.64837	+	4.58712i	0.0918158	+	0.159030i
$833$	−2.83322	+	3.89959i	−0.0981653	+	0.135113i
$834$	−1.71277	−	1.97133i	−0.0593085	−	0.0682617i
$835$	10.0251	+	23.3608i	0.346933	+	0.808434i
$836$	−10.9569			−0.378951
$837$	−27.3719	−	9.36912i	−0.946110	−	0.323844i
$838$		−	37.0494i		−	1.27985i
$839$	−29.8676	−	9.70456i	−1.03114	−	0.335039i	−0.255901	−	0.966703i	$-0.582372\pi$
$839$	−29.8676	−	9.70456i	−1.03114	−	0.335039i	−0.775242	+	0.631664i	$0.782372\pi$
$840$	1.46194	−	10.6886i	0.0504418	−	0.368792i
$841$	22.4659	+	16.3225i	0.774687	+	0.562843i
$842$	−5.54810	−	9.60959i	−0.191200	−	0.331168i
$843$	−32.3841	+	13.7365i	−1.11537	+	0.473110i
$844$	17.7172	−	7.88820i	0.609851	−	0.271523i
$845$	32.8320	+	7.44344i	1.12945	+	0.256062i
$846$	4.55567	−	32.2960i	0.156627	−	1.11036i
$847$	−11.7965	−	55.4980i	−0.405332	−	1.90693i
$848$	−5.79269	−	0.608836i	−0.198922	−	0.0209075i
$849$	3.54632	+	40.6538i	0.121709	+	1.39524i
$850$	24.1661	−	20.6051i	0.828889	−	0.706749i
$851$	26.7800	−	2.81469i	0.918006	−	0.0964863i
$852$	9.06386	−	26.3016i	0.310523	−	0.901078i
$853$	−27.1358	+	8.81695i	−0.929111	+	0.301887i	−0.734199	−	0.678934i	$-0.762442\pi$
$853$	−27.1358	+	8.81695i	−0.929111	+	0.301887i	−0.194912	+	0.980821i	$0.562442\pi$
$854$	3.68570	+	35.0671i	0.126122	+	1.19997i
$855$	−3.44012	−	12.6643i	−0.117650	−	0.433111i
$856$	10.4832	+	11.6428i	0.358309	+	0.397942i
$857$	−2.38301	+	22.6728i	−0.0814021	+	0.774489i	0.875331	+	0.483524i	$0.160643\pi$
$857$	−2.38301	+	22.6728i	−0.0814021	+	0.774489i	−0.956733	+	0.290966i	$0.906023\pi$
$858$	−21.7273	+	46.5635i	−0.741759	+	1.58965i
$859$	−5.48315	+	12.3154i	−0.187083	+	0.420195i	−0.982600	−	0.185737i	$-0.940533\pi$
$859$	−5.48315	+	12.3154i	−0.187083	+	0.420195i	0.795517	+	0.605932i	$0.207199\pi$
$860$	2.58236	+	0.585455i	0.0880578	+	0.0199639i
$861$	4.76617	−	20.6206i	0.162431	−	0.702749i
$862$	29.7759	+	17.1911i	1.01417	+	0.585531i
$863$	−41.1311	+	23.7470i	−1.40012	+	0.808359i	−0.994404	−	0.105641i	$-0.966311\pi$
$863$	−41.1311	+	23.7470i	−1.40012	+	0.808359i	−0.405714	+	0.914000i	$0.632977\pi$
$864$	−2.82670	−	4.36002i	−0.0961663	−	0.148331i
$865$	−6.59394	−	11.7858i	−0.224201	−	0.400729i
$866$	−2.89033	+	8.89553i	−0.0982175	+	0.302282i
$867$	−24.3401	+	32.2833i	−0.826633	+	1.09640i
$868$	6.83468	+	13.9217i	0.231984	+	0.472532i
$869$			52.6242i			1.78515i
$870$	1.02398	−	4.17254i	0.0347160	−	0.141462i
$871$	−6.07306	+	28.5715i	−0.205778	+	0.968109i
$872$	−0.248588	−	0.180610i	−0.00841824	−	0.00611621i
$873$	6.98554	+	6.75273i	0.236425	+	0.228545i
$874$	11.7437	+	6.78023i	0.397236	+	0.229345i
$875$	26.3175	+	16.6509i	0.889692	+	0.562904i
$876$	0.150952	−	8.52371i	0.00510020	−	0.287990i
$877$	−7.47396	+	16.7868i	−0.252378	+	0.566850i	−0.994656	−	0.103242i	$-0.967078\pi$
$877$	−7.47396	+	16.7868i	−0.252378	+	0.566850i	0.742279	+	0.670091i	$0.233745\pi$
$878$	−25.4091	+	5.40087i	−0.857515	+	0.182270i
$879$	16.6220	+	15.5082i	0.560646	+	0.523078i
$880$	1.47718	−	12.4364i	0.0497956	−	0.419231i
$881$	5.64763	−	6.27233i	0.190274	−	0.211320i	−0.640458	−	0.767993i	$-0.721256\pi$
$881$	5.64763	−	6.27233i	0.190274	−	0.211320i	0.830732	+	0.556673i	$0.187922\pi$
$882$	−2.11133	+	0.851781i	−0.0710921	+	0.0286810i
$883$	−4.02717	−	12.3944i	−0.135525	−	0.417103i	0.860146	−	0.510047i	$-0.170372\pi$
$883$	−4.02717	−	12.3944i	−0.135525	−	0.417103i	−0.995671	+	0.0929443i	$0.970372\pi$
$884$	31.9962	−	10.3962i	1.07615	−	0.349662i
$885$	−9.37439	+	1.68869i	−0.315117	+	0.0567646i
$886$	−22.9299	+	25.4663i	−0.770346	+	0.855556i
$887$	5.49492	+	6.10273i	0.184501	+	0.204910i	0.828299	−	0.560286i	$-0.189309\pi$
$887$	5.49492	+	6.10273i	0.184501	+	0.204910i	−0.643798	+	0.765196i	$0.722642\pi$
$888$	4.91974	+	4.59007i	0.165096	+	0.154033i
$889$	−5.03180	−	23.6728i	−0.168761	−	0.793959i
$890$	2.35528	+	7.59638i	0.0789493	+	0.254631i
$891$	18.9305	−	46.7177i	0.634196	−	1.56510i
$892$	−9.17046	+	4.08295i	−0.307050	+	0.136707i
$893$	−10.6343	+	18.4192i	−0.355865	+	0.616376i
$894$	−1.05688	+	8.58952i	−0.0353473	+	0.287276i
$895$	0.587188	+	6.41955i	0.0196275	+	0.214582i
$896$	−0.579134	+	2.72461i	−0.0193475	+	0.0910228i
$897$	52.1016	−	36.4621i	1.73962	−	1.21744i
$898$	−6.71761			−0.224169
$899$	2.12746	+	5.79843i	0.0709546	+	0.193389i
$900$	14.8382	−	2.19728i	0.494606	−	0.0732425i
$901$	−11.4322	+	35.1848i	−0.380863	+	1.17218i
$902$	5.10826	−	24.0325i	0.170087	−	0.800195i
$903$	−1.66897	−	5.46394i	−0.0555400	−	0.181829i
$904$	9.47536	+	16.4118i	0.315146	+	0.545848i
$905$	−0.692072	−	3.48684i	−0.0230053	−	0.115907i
$906$	−16.8445	−	3.89337i	−0.559620	−	0.129348i
$907$	−0.596535	−	0.821060i	−0.0198076	−	0.0272628i	0.798998	−	0.601333i	$-0.205364\pi$
$907$	−0.596535	−	0.821060i	−0.0198076	−	0.0272628i	−0.818806	+	0.574070i	$0.805364\pi$
$908$	14.4878	+	6.45038i	0.480794	+	0.214063i
$909$	−17.5987	+	9.34591i	−0.583712	+	0.309984i
$910$	19.0294	+	26.9496i	0.630817	+	0.893371i
$911$	−8.67052	−	9.62959i	−0.287267	−	0.319043i	0.582188	−	0.813054i	$-0.302197\pi$
$911$	−8.67052	−	9.62959i	−0.287267	−	0.319043i	−0.869455	+	0.494012i	$0.835530\pi$
$912$	0.645692	+	3.32632i	0.0213810	+	0.110145i
$913$	−38.4074	+	4.03678i	−1.27110	+	0.133598i
$914$	3.74783	+	11.5346i	0.123967	+	0.381532i
$915$	−45.3885	+	18.5334i	−1.50050	+	0.612697i
$916$	−4.72540	+	0.496660i	−0.156132	+	0.0164101i
$917$	−36.4572	+	40.4898i	−1.20392	+	1.33709i
$918$	−30.8208	+	11.8040i	−1.01724	+	0.389590i
$919$	4.76975	−	45.3811i	0.157339	−	1.49699i	−0.576183	−	0.817320i	$-0.695459\pi$
$919$	4.76975	−	45.3811i	0.157339	−	1.49699i	0.733523	−	0.679665i	$-0.237875\pi$
$920$	−9.27902	+	12.4154i	−0.305920	+	0.409322i
$921$	−5.57743	−	10.0680i	−0.183783	−	0.331752i
$922$	−18.8779	+	13.7156i	−0.621710	+	0.451699i
$923$	34.6029	+	77.7193i	1.13897	+	2.55816i
$924$	−24.8763	+	10.5519i	−0.818369	+	0.347131i
$925$	−17.9511	+	7.41815i	−0.590229	+	0.243907i
$926$	−4.09666	−	2.97639i	−0.134624	−	0.0978104i
$927$	15.8558	−	1.10063i	0.520773	−	0.0361496i
$928$	−0.342797	+	1.05502i	−0.0112529	+	0.0346327i
$929$	44.1846			1.44965			0.724824	−	0.688934i	$-0.241921\pi$
$929$	44.1846			1.44965			0.724824	+	0.688934i	$0.241921\pi$
$930$	−15.9341	+	14.5294i	−0.522501	+	0.476438i
$931$	1.48462			0.0486563
$932$	7.70706	−	23.7199i	0.252453	−	0.776970i
$933$	−3.28520	−	3.78113i	−0.107553	−	0.123789i
$934$	14.2766	+	10.3726i	0.467146	+	0.339401i
$935$	−75.3140	−	25.6005i	−2.46303	−	0.837227i
$936$	15.4163	+	3.85205i	0.503897	+	0.125908i
$937$	18.6118	+	41.8028i	0.608021	+	1.36564i	0.910907	+	0.412611i	$0.135383\pi$
$937$	18.6118	+	41.8028i	0.608021	+	1.36564i	−0.302886	+	0.953027i	$0.597950\pi$
$938$	−12.4273	+	9.02897i	−0.405766	+	0.294806i
$939$	17.5695	−	9.73310i	0.573359	−	0.317628i
$940$	−19.4727	−	14.5535i	−0.635129	−	0.474684i
$941$	−0.831437	+	7.91060i	−0.0271041	+	0.257878i	0.972576	+	0.232585i	$0.0747185\pi$
$941$	−0.831437	+	7.91060i	−0.0271041	+	0.257878i	−0.999680	+	0.0252928i	$0.991948\pi$
$942$	1.75608	+	20.1310i	0.0572160	+	0.655905i
$943$	−20.3466	+	22.5972i	−0.662578	+	0.735867i
$944$	2.44594	−	0.257079i	0.0796087	−	0.00836721i
$945$	−20.0066	−	25.4399i	−0.650815	−	0.827559i
$946$	−2.04951	−	6.30774i	−0.0666352	−	0.205082i
$947$	4.43511	−	0.466149i	0.144122	−	0.0151478i	−0.0321929	−	0.999482i	$-0.510249\pi$
$947$	4.43511	−	0.466149i	0.144122	−	0.0151478i	0.176315	+	0.984334i	$0.443582\pi$
$948$	15.9758	−	3.10116i	0.518870	−	0.100721i
$949$	17.4444	+	19.3740i	0.566270	+	0.628906i
$950$	−9.50933	−	2.29134i	−0.308523	−	0.0743408i
$951$	−14.0809	+	30.1764i	−0.456603	+	0.978538i
$952$	16.1627	+	7.19608i	0.523835	+	0.233226i
$953$	5.98355	+	8.23565i	0.193826	+	0.266779i	0.894858	−	0.446351i	$-0.147277\pi$
$953$	5.98355	+	8.23565i	0.193826	+	0.266779i	−0.701032	+	0.713130i	$0.747277\pi$
$954$	−13.3914	+	11.2251i	−0.433563	+	0.363427i
$955$	−4.90349	−	24.7051i	−0.158673	−	0.799438i
$956$	−2.44085	−	4.22767i	−0.0789426	−	0.136733i
$957$	−10.2919	+	3.14369i	−0.332691	+	0.101621i
$958$	5.07896	−	23.8946i	0.164094	−	0.772000i
$959$	−6.74427	+	20.7567i	−0.217784	+	0.670270i
$960$	−3.86252	+	0.284435i	−0.124662	+	0.00918011i
$961$	7.34389	−	30.1176i	0.236900	−	0.971534i
$962$	−20.5762			−0.663405
$963$	46.9712	+	1.66421i	1.51363	+	0.0536285i
$964$	0.195101	−	0.917880i	0.00628379	−	0.0295629i
$965$	28.9031	−	2.64373i	0.930423	−	0.0851046i
$966$	33.1922	+	4.08407i	1.06794	+	0.131403i
$967$	−6.00188	+	10.3956i	−0.193008	+	0.334299i	−0.946246	−	0.323449i	$-0.895158\pi$
$967$	−6.00188	+	10.3956i	−0.193008	+	0.334299i	0.753238	+	0.657748i	$0.228491\pi$
$968$	−18.6082	+	8.28489i	−0.598089	+	0.266286i
$969$	21.5184	+	0.381084i	0.691271	+	0.0122422i
$970$	6.91690	−	2.14461i	0.222088	−	0.0688592i
$971$	−5.01151	−	23.5773i	−0.160827	−	0.756631i	−0.982439	−	0.186584i	$-0.940258\pi$
$971$	−5.01151	−	23.5773i	−0.160827	−	0.756631i	0.821612	−	0.570047i	$-0.193075\pi$
$972$	−15.2983	−	2.99389i	−0.490692	−	0.0960290i
$973$	2.81018	+	3.12102i	0.0900903	+	0.100055i
$974$	13.3962	−	14.8780i	0.429241	−	0.476721i
$975$	−28.5944	+	35.8682i	−0.915753	+	1.14870i
$976$	12.0390	−	3.91172i	0.385360	−	0.125211i
$977$	2.96604	+	9.12854i	0.0948921	+	0.292048i	0.987226	−	0.159329i	$-0.0509330\pi$
$977$	2.96604	+	9.12854i	0.0948921	+	0.292048i	−0.892333	+	0.451377i	$0.850933\pi$
$978$	18.1544	−	30.1966i	0.580513	−	0.965580i
$979$	13.3296	−	14.8040i	0.426014	−	0.473137i
$980$	−0.200152	+	1.68509i	−0.00639362	+	0.0538281i
$981$	−0.907891	+	0.159609i	−0.0289867	+	0.00509593i
$982$	−6.46400	+	1.37396i	−0.206274	+	0.0438450i
$983$	12.0222	−	27.0022i	0.383447	−	0.861236i	−0.613964	−	0.789334i	$-0.710426\pi$
$983$	12.0222	−	27.0022i	0.383447	−	0.861236i	0.997412	−	0.0719028i	$-0.0229071\pi$
$984$	−7.59688	−	0.134538i	−0.242180	−	0.00428892i
$985$	3.79057	−	8.21342i	0.120778	−	0.261701i
$986$	6.10194	+	3.52295i	0.194325	+	0.112194i
$987$	−6.40560	+	52.0599i	−0.203892	+	1.65708i
$988$	−8.38305	−	6.09064i	−0.266700	−	0.193769i
$989$	−1.70661	+	8.02896i	−0.0542669	+	0.255306i
$990$	−23.7448	−	29.1170i	−0.754658	−	0.925399i
$991$		−	31.0092i		−	0.985039i	−0.870301	−	0.492520i	$-0.836076\pi$
$991$		−	31.0092i		−	0.985039i	0.870301	−	0.492520i	$-0.163924\pi$
$992$	4.37858	−	3.43919i	0.139020	−	0.109195i
$993$	2.04687	+	1.54324i	0.0649554	+	0.0489733i
$994$	−13.8252	+	42.5496i	−0.438509	+	1.34959i
$995$	−29.8612	+	16.7068i	−0.946663	+	0.529641i
$996$	3.48886	+	11.4219i	0.110549	+	0.361918i
$997$	17.6806	−	10.2079i	0.559950	−	0.323287i	−0.193175	−	0.981164i	$-0.561879\pi$
$997$	17.6806	−	10.2079i	0.559950	−	0.323287i	0.753125	+	0.657877i	$0.228545\pi$
$998$	7.21847	+	4.16758i	0.228497	+	0.131923i
$999$	20.1586	−	1.04103i	0.637790	−	0.0329368i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.b.239.8	yes	256
3.2	odd	2		930.2.bo.a.239.12	yes	256
5.4	even	2		930.2.bo.a.239.25	yes	256
15.14	odd	2	inner	930.2.bo.b.239.21	yes	256
31.24	odd	30	inner	930.2.bo.b.179.21	yes	256
93.86	even	30		930.2.bo.a.179.25	yes	256
155.24	odd	30		930.2.bo.a.179.12	✓	256
465.179	even	30	inner	930.2.bo.b.179.8	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.12	✓	256	155.24	odd	30
930.2.bo.a.179.25	yes	256	93.86	even	30
930.2.bo.a.239.12	yes	256	3.2	odd	2
930.2.bo.a.239.25	yes	256	5.4	even	2
930.2.bo.b.179.8	yes	256	465.179	even	30	inner
930.2.bo.b.179.21	yes	256	31.24	odd	30	inner
930.2.bo.b.239.8	yes	256	1.1	even	1	trivial
930.2.bo.b.239.21	yes	256	15.14	odd	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 + 0.951057i) q^{2} +(-1.30748 + 1.13599i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.719639 + 2.11710i) q^{5} +(-0.676360 - 1.59453i) q^{6} +(1.13296 + 2.54466i) q^{7} +(0.809017 - 0.587785i) q^{8} +(0.419032 - 2.97059i) q^{9} +O(q^{10})\)	\(q+(-0.309017 + 0.951057i) q^{2} +(-1.30748 + 1.13599i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.719639 + 2.11710i) q^{5} +(-0.676360 - 1.59453i) q^{6} +(1.13296 + 2.54466i) q^{7} +(0.809017 - 0.587785i) q^{8} +(0.419032 - 2.97059i) q^{9} +(-1.79110 - 1.33864i) q^{10} +(-0.585445 + 5.57014i) q^{11} +(1.72550 - 0.150519i) q^{12} +(-3.54422 + 3.93625i) q^{13} +(-2.77022 + 0.291162i) q^{14} +(-1.46410 - 3.58558i) q^{15} +(0.309017 + 0.951057i) q^{16} +(6.31680 - 0.663922i) q^{17} +(2.69571 + 1.31649i) q^{18} +(-1.30902 - 1.45381i) q^{19} +(1.82660 - 1.28978i) q^{20} +(-4.37204 - 2.04007i) q^{21} +(-5.11660 - 2.27806i) q^{22} +(4.07434 + 5.60785i) q^{23} +(-0.390056 + 1.68756i) q^{24} +(-3.96424 - 3.04710i) q^{25} +(-2.64837 - 4.58712i) q^{26} +(2.82670 + 4.36002i) q^{27} +(0.579134 - 2.72461i) q^{28} +(0.342797 - 1.05502i) q^{29} +(3.86252 - 0.284435i) q^{30} +(-4.37858 + 3.43919i) q^{31} -1.00000 q^{32} +(-5.56219 - 7.94793i) q^{33} +(-1.32057 + 6.21280i) q^{34} +(-6.20263 + 0.567346i) q^{35} +(-2.08507 + 2.15696i) q^{36} +(1.94235 - 3.36424i) q^{37} +(1.78717 - 0.795698i) q^{38} +(0.162447 - 9.17280i) q^{39} +(0.662201 + 2.13576i) q^{40} +(0.912057 + 4.29089i) q^{41} +(3.29126 - 3.52764i) q^{42} +(0.792367 + 0.880013i) q^{43} +(3.74768 - 4.16222i) q^{44} +(5.98749 + 3.02489i) q^{45} +(-6.59243 + 2.14201i) q^{46} +(-3.35960 - 10.3398i) q^{47} +(-1.48443 - 0.892450i) q^{48} +(-0.507797 + 0.563965i) q^{49} +(4.12298 - 2.82861i) q^{50} +(-7.50490 + 8.04392i) q^{51} +(5.18100 - 1.10126i) q^{52} +(-2.36908 + 5.32104i) q^{53} +(-5.02012 + 1.34103i) q^{54} +(-11.3712 - 5.24793i) q^{55} +(2.41230 + 1.39274i) q^{56} +(3.36305 + 0.413799i) q^{57} +(0.897454 + 0.652038i) q^{58} +(0.511341 - 2.40567i) q^{59} +(-0.923072 + 3.76137i) q^{60} -12.6586i q^{61} +(-1.91781 - 5.22704i) q^{62} +(8.03389 - 2.29926i) q^{63} +(0.309017 - 0.951057i) q^{64} +(-5.78289 - 10.3361i) q^{65} +(9.27774 - 2.83391i) q^{66} +(4.77585 - 2.75734i) q^{67} +(-5.50064 - 3.17580i) q^{68} +(-11.6976 - 2.70375i) q^{69} +(1.37714 - 6.07437i) q^{70} +(6.53285 - 14.6730i) q^{71} +(-1.40707 - 2.64956i) q^{72} +(0.514483 - 4.89498i) q^{73} +(2.59937 + 2.88689i) q^{74} +(8.64467 - 0.519322i) q^{75} +(0.204489 + 1.94558i) q^{76} +(-14.8374 + 4.82096i) q^{77} +(8.67365 + 2.98905i) q^{78} +(9.34433 - 0.982129i) q^{79} +(-2.23586 - 0.0301969i) q^{80} +(-8.64883 - 2.48954i) q^{81} +(-4.36272 - 0.458540i) q^{82} +(1.43360 + 6.74456i) q^{83} +(2.33793 + 4.22028i) q^{84} +(-3.14022 + 13.8511i) q^{85} +(-1.08180 + 0.481647i) q^{86} +(0.750296 + 1.76884i) q^{87} +(2.80041 + 4.85045i) q^{88} +(-2.87747 - 2.09060i) q^{89} +(-4.72707 + 4.75970i) q^{90} +(-14.0319 - 4.55923i) q^{91} -6.93169i q^{92} +(1.81802 - 9.47073i) q^{93} +10.8719 q^{94} +(4.01989 - 1.72511i) q^{95} +(1.30748 - 1.13599i) q^{96} +(-1.90361 + 2.62009i) q^{97} +(-0.379445 - 0.657218i) q^{98} +(16.3013 + 4.07318i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

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