LMFDB - Embedded newform 930.2.bo.b.179.8

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			179.8
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.b.239.8

$q$-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 $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{30}\right)$

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	−0.562618	−	0.826717i	$-0.690206\pi$
$7$	1.13296	−	2.54466i	0.428217	−	0.961792i	0.990835	−	0.135075i	$-0.0431274\pi$
$8$	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	−0.621108	−	0.783725i	$-0.713317\pi$
$11$	−0.585445	−	5.57014i	−0.176518	−	1.67946i	0.444590	−	0.895734i	$-0.353350\pi$
$12$	1.72550	+	0.150519i	0.498108	+	0.0434511i
$13$	−3.54422	−	3.93625i	−0.982988	−	1.09172i	−0.995777	−	0.0918011i	$-0.970738\pi$
$13$	−3.54422	−	3.93625i	−0.982988	−	1.09172i	0.0127889	−	0.999918i	$-0.495929\pi$
$14$	−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	0.832687	−	0.553743i	$-0.186801\pi$
$17$	6.31680	+	0.663922i	1.53205	+	0.161025i	0.699361	+	0.714768i	$0.253468\pi$
$18$	2.69571	−	1.31649i	0.635385	−	0.310299i
$19$	−1.30902	+	1.45381i	−0.300310	+	0.333528i	−0.874347	−	0.485302i	$-0.838710\pi$
$19$	−1.30902	+	1.45381i	−0.300310	+	0.333528i	0.574037	+	0.818829i	$0.305376\pi$
$20$	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	−0.134400	−	0.990927i	$-0.542911\pi$
$23$	4.07434	−	5.60785i	0.849559	−	1.16932i	0.983960	−	0.178391i	$-0.0570892\pi$
$24$	−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	0.977826	−	0.209417i	$-0.0671567\pi$
$29$	0.342797	+	1.05502i	0.0636558	+	0.195912i	−0.914171	+	0.405330i	$0.867157\pi$
$30$	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	0.980346	−	0.197284i	$-0.0632122\pi$
$37$	1.94235	+	3.36424i	0.319320	+	0.553078i	−0.661026	+	0.750363i	$0.729879\pi$
$38$	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	−0.847750	−	0.530395i	$-0.822044\pi$
$41$	0.912057	−	4.29089i	0.142439	−	0.670124i	0.990190	−	0.139729i	$-0.0446232\pi$
$42$	3.29126	+	3.52764i	0.507853	+	0.544327i
$43$	0.792367	−	0.880013i	0.120835	−	0.134201i	−0.679692	−	0.733498i	$-0.737886\pi$
$43$	0.792367	−	0.880013i	0.120835	−	0.134201i	0.800527	+	0.599297i	$0.204553\pi$
$44$	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	0.334486	+	0.942401i	$0.391437\pi$
$47$	−3.35960	+	10.3398i	−0.490048	+	1.50821i	−0.824534	+	0.565812i	$0.808563\pi$
$48$	−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	0.674555	−	0.738224i	$-0.264335\pi$
$53$	−2.36908	−	5.32104i	−0.325418	−	0.730901i	−0.999973	+	0.00732376i	$0.997669\pi$
$54$	−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	0.998817	−	0.0486341i	$-0.0154868\pi$
$59$	0.511341	+	2.40567i	0.0665710	+	0.313192i	−0.932246	+	0.361826i	$0.882153\pi$
$60$	−0.923072	−	3.76137i	−0.119168	−	0.485591i
$61$			12.6586i			1.62077i	0.585900	+	0.810384i	$0.300741\pi$
$61$			12.6586i			1.62077i	−0.585900	+	0.810384i	$0.699259\pi$
$62$	−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	0.762508	−	0.646979i	$-0.223968\pi$
$67$	4.77585	+	2.75734i	0.583462	+	0.336862i	−0.179046	+	0.983841i	$0.557301\pi$
$68$	−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	0.664194	+	0.747560i	$0.268775\pi$
$71$	6.53285	+	14.6730i	0.775307	+	1.74137i	0.111113	+	0.993808i	$0.464558\pi$
$72$	−1.40707	+	2.64956i	−0.165824	+	0.312254i
$73$	0.514483	+	4.89498i	0.0602157	+	0.572914i	0.982482	+	0.186358i	$0.0596685\pi$
$73$	0.514483	+	4.89498i	0.0602157	+	0.572914i	−0.922266	+	0.386555i	$0.873665\pi$
$74$	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	0.614394	−	0.789000i	$-0.289401\pi$
$79$	9.34433	+	0.982129i	1.05132	+	0.110498i	0.436926	+	0.899498i	$0.356067\pi$
$80$	−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	−0.826725	−	0.562606i	$-0.809799\pi$
$83$	1.43360	−	6.74456i	0.157358	−	0.740312i	0.984084	−	0.177706i	$-0.0568677\pi$
$84$	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	−0.729753	−	0.683711i	$-0.760365\pi$
$89$	−2.87747	+	2.09060i	−0.305011	+	0.221604i	0.424742	+	0.905315i	$0.360365\pi$
$90$	−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	0.701366	−	0.712801i	$-0.252574\pi$
$97$	−1.90361	−	2.62009i	−0.193282	−	0.266030i	−0.894648	+	0.446771i	$0.852574\pi$
$98$	−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	−0.957805	−	0.287418i	$-0.907203\pi$
$101$	−3.90414	+	5.37359i	−0.388477	+	0.534692i	0.569329	+	0.822110i	$0.307203\pi$
$102$	−5.33108	+	9.62330i	−0.527855	+	0.952848i
$103$	1.10151	−	5.18221i	0.108535	−	0.510618i	−0.889973	−	0.456014i	$-0.849277\pi$
$103$	1.10151	−	5.18221i	0.108535	−	0.510618i	0.998508	−	0.0546046i	$-0.0173898\pi$
$104$	−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	−0.570345	−	0.821405i	$-0.693190\pi$
$107$	1.63764	−	15.5811i	0.158316	−	1.50628i	0.728661	−	0.684874i	$-0.240143\pi$
$108$	0.275908	+	5.18882i	0.0265492	+	0.499295i
$109$	−0.0949520	+	0.292232i	−0.00909476	+	0.0279908i	−0.955501	−	0.294988i	$-0.904684\pi$
$109$	−0.0949520	+	0.292232i	−0.00909476	+	0.0279908i	0.946406	+	0.322979i	$0.104684\pi$
$110$	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	−0.543973	−	0.839102i	$-0.683081\pi$
$113$	−1.98089	−	18.8469i	−0.186346	−	1.77297i	0.357627	−	0.933864i	$-0.383586\pi$
$114$	−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	−0.568909	−	0.822401i	$-0.692634\pi$
$127$	−8.49863	+	1.80644i	−0.754132	+	0.160296i	−0.185223	+	0.982696i	$0.559301\pi$
$128$	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	−0.127007	−	0.991902i	$-0.540537\pi$
$131$	7.95583	−	17.8691i	0.695104	−	1.56123i	0.822111	−	0.569327i	$-0.192796\pi$
$132$	−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	−0.381803	−	0.924244i	$-0.624697\pi$
$137$	5.82273	−	5.24281i	0.497469	−	0.447923i	0.879272	+	0.476321i	$0.158030\pi$
$138$	6.18618	+	10.2896i	0.526603	+	0.875909i
$139$	1.43394	+	0.465914i	0.121625	+	0.0395183i	0.369197	−	0.929351i	$-0.379633\pi$
$139$	1.43394	+	0.465914i	0.121625	+	0.0395183i	−0.247572	+	0.968869i	$0.579633\pi$
$140$	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	−0.666663	−	0.745360i	$-0.732278\pi$
$149$	−4.32715	+	2.49828i	−0.354494	+	0.204667i	0.312169	+	0.950027i	$0.398944\pi$
$150$	−2.17744	−	8.38205i	−0.177788	−	0.684391i
$151$	5.86701	+	8.07524i	0.477450	+	0.657154i	0.978012	−	0.208547i	$-0.0668733\pi$
$151$	5.86701	+	8.07524i	0.477450	+	0.657154i	−0.500562	+	0.865701i	$0.666873\pi$
$152$	−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	−0.716256	−	0.697838i	$-0.754146\pi$
$157$	−11.0958	+	3.60524i	−0.885540	+	0.287729i	−0.169284	+	0.985567i	$0.554146\pi$
$158$	−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	−0.0207245	−	0.999785i	$-0.506597\pi$
$163$	11.9568	−	16.4572i	0.936532	−	1.28903i	0.957256	−	0.289240i	$-0.0934027\pi$
$164$	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	0.927806	−	0.373063i	$-0.121693\pi$
$167$	8.44855	+	7.60711i	0.653768	+	0.588656i	−0.274038	+	0.961719i	$0.588359\pi$
$168$	−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	0.569666	−	0.821876i	$-0.307073\pi$
$173$	−4.04130	−	4.48831i	−0.307254	−	0.341240i	−0.876920	+	0.480636i	$0.840406\pi$
$174$	−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	0.502794	−	0.864407i	$-0.332306\pi$
$179$	2.63366	+	1.17258i	0.196849	+	0.0876427i	−0.305945	+	0.952049i	$0.598972\pi$
$180$	−3.06600	+	5.96654i	−0.228526	+	0.444720i
$181$	−1.37679	−	0.794891i	−0.102336	−	0.0590838i	0.447958	−	0.894054i	$-0.352151\pi$
$181$	−1.37679	−	0.794891i	−0.102336	−	0.0590838i	−0.550295	+	0.834971i	$0.685485\pi$
$182$	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	0.103680	−	0.994611i	$-0.466938\pi$
$191$	−9.75488	−	5.63199i	−0.705839	−	0.407516i	−0.809518	+	0.587095i	$0.800272\pi$
$192$	0.676360	−	1.59453i	0.0488121	−	0.115076i
$193$	−5.27936	+	11.8576i	−0.380017	+	0.853532i	0.617727	+	0.786393i	$0.288054\pi$
$193$	−5.27936	+	11.8576i	−0.380017	+	0.853532i	−0.997744	+	0.0671391i	$0.978613\pi$
$194$	−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	−0.246761	−	0.969076i	$-0.579366\pi$
$197$	−4.02330	+	0.422866i	−0.286648	+	0.0301279i	−0.0398868	+	0.999204i	$0.512700\pi$
$198$	−8.91120	−	14.2448i	−0.633291	−	1.01233i
$199$	11.3718	−	10.2393i	0.806129	−	0.725841i	−0.159096	−	0.987263i	$-0.550858\pi$
$199$	11.3718	−	10.2393i	0.806129	−	0.725841i	0.965225	+	0.261422i	$0.0841913\pi$
$200$	−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	−0.978583	−	0.205852i	$-0.934003\pi$
$211$	−9.69694	−	16.7956i	−0.667565	−	1.15626i	0.311018	−	0.950404i	$-0.399330\pi$
$212$	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	0.983697	−	0.179834i	$-0.0575561\pi$
$223$	5.01916	+	8.69343i	0.336108	+	0.582155i	−0.647589	+	0.761990i	$0.724223\pi$
$224$	−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	−0.338007	−	0.941144i	$-0.609753\pi$
$227$	−15.5123	−	3.29724i	−1.02959	−	0.218846i	−0.691582	+	0.722298i	$0.743086\pi$
$228$	−2.47754	+	2.31152i	−0.164079	+	0.153084i
$229$	3.53100	+	3.17933i	0.233335	+	0.210096i	0.777501	−	0.628882i	$-0.216487\pi$
$229$	3.53100	+	3.17933i	0.233335	+	0.210096i	−0.544166	+	0.838978i	$0.683154\pi$
$230$	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	−0.296023	−	0.955181i	$-0.595660\pi$
$233$	7.70706	−	23.7199i	0.504906	−	1.55394i	0.800929	−	0.598760i	$-0.204340\pi$
$234$	−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	−0.257400	−	0.966305i	$-0.582866\pi$
$239$	4.45965	−	1.98556i	0.288471	−	0.128435i	0.545871	+	0.837870i	$0.316199\pi$
$240$	2.95766	+	2.50045i	0.190916	+	0.161403i
$241$	0.381676	−	0.857258i	0.0245859	−	0.0552208i	−0.900835	−	0.434161i	$-0.857045\pi$
$241$	0.381676	−	0.857258i	0.0245859	−	0.0552208i	0.925421	+	0.378940i	$0.123711\pi$
$242$	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	0.192675	−	0.981263i	$-0.438284\pi$
$251$	12.1644	−	2.58562i	0.767808	−	0.163203i	0.575133	+	0.818060i	$0.304950\pi$
$252$	−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	−0.977181	−	0.212409i	$-0.931869\pi$
$257$	−23.6171	+	10.5150i	−1.47319	+	0.655907i	−0.496011	+	0.868316i	$0.665202\pi$
$258$	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	0.554881	−	0.831930i	$-0.312764\pi$
$263$	8.34855	+	2.71261i	0.514794	+	0.167267i	−0.0400876	+	0.999196i	$0.512764\pi$
$264$	−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	0.688252	−	0.725471i	$-0.258378\pi$
$269$	16.7608	+	3.56263i	1.02193	+	0.217217i	0.333674	+	0.942688i	$0.391711\pi$
$270$	0.773579	+	11.5932i	0.0470785	+	0.705538i
$271$	−3.46790	+	4.77316i	−0.210660	+	0.289949i	−0.901251	−	0.433296i	$-0.857350\pi$
$271$	−3.46790	+	4.77316i	−0.210660	+	0.289949i	0.690591	+	0.723245i	$0.257350\pi$
$272$	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	0.977987	−	0.208666i	$-0.0669121\pi$
$277$	1.06730	+	3.28483i	0.0641281	+	0.197366i	−0.913859	+	0.406032i	$0.866912\pi$
$278$		−	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	0.330266	−	0.943888i	$-0.392861\pi$
$281$	19.3154	−	6.27596i	1.15226	−	0.374392i	0.821994	+	0.569496i	$0.192861\pi$
$282$	−14.2148	−	12.3504i	−0.846481	−	0.735457i
$283$	13.8486	+	19.0610i	0.823213	+	1.13306i	0.989148	+	0.146919i	$0.0469358\pi$
$283$	13.8486	+	19.0610i	0.823213	+	1.13306i	−0.165935	+	0.986137i	$0.553064\pi$
$284$	−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	0.878455	+	0.477825i	$0.158575\pi$
$293$	−1.37193	+	13.0531i	−0.0801491	+	0.762568i	−0.958604	+	0.284743i	$0.908092\pi$
$294$	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	0.920974	−	0.389624i	$-0.127395\pi$
$307$	−1.38159	−	6.49989i	−0.0788518	−	0.370968i	−0.999826	+	0.0186551i	$0.994062\pi$
$308$	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	$-0.973872\pi$
$311$		−	2.89191i		−	0.163985i	0.996633	−	0.0819927i	$-0.0261284\pi$
$312$	−5.26021	+	7.51643i	−0.297801	+	0.425534i
$313$	−11.3429	+	2.41100i	−0.641137	+	0.136278i	−0.516998	−	0.855987i	$-0.672950\pi$
$313$	−11.3429	+	2.41100i	−0.641137	+	0.136278i	−0.124140	+	0.992265i	$0.539617\pi$
$314$	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	0.835594	−	0.549348i	$-0.185124\pi$
$317$	17.5636	+	7.81982i	0.986470	+	0.439205i	0.150876	+	0.988553i	$0.451791\pi$
$318$	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	−0.985795	−	0.167954i	$-0.946284\pi$
$331$	−0.307711	+	1.44767i	−0.0169133	+	0.0795709i	0.968881	+	0.247525i	$0.0796173\pi$
$332$	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	−0.0485636	−	0.998820i	$-0.515464\pi$
$337$	16.2715	−	11.8219i	0.886364	−	0.643981i	0.934927	+	0.354839i	$0.115464\pi$
$338$	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	−0.918029	−	0.396512i	$-0.870220\pi$
$347$	−19.2548	+	11.1168i	−1.03365	+	0.596780i	−0.115625	+	0.993293i	$0.536887\pi$
$348$	0.432695	+	1.87203i	0.0231949	+	0.100351i
$349$	−6.56568	−	4.77024i	−0.351453	−	0.255345i	0.398025	−	0.917374i	$-0.369696\pi$
$349$	−6.56568	−	4.77024i	−0.351453	−	0.255345i	−0.749478	+	0.662029i	$0.769696\pi$
$350$	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	0.118108	−	0.993001i	$-0.462317\pi$
$353$	−16.1036	−	14.4997i	−0.857107	−	0.771743i	−0.975215	+	0.221258i	$0.928984\pi$
$354$	−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	0.118690	−	0.992931i	$-0.462131\pi$
$359$	21.1942	−	19.0834i	1.11859	−	1.00718i	0.999898	−	0.0142502i	$-0.00453613\pi$
$360$	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	−0.928646	−	0.370968i	$-0.879026\pi$
$367$	−2.74054	+	4.74676i	−0.143055	+	0.247779i	0.785590	+	0.618747i	$0.212359\pi$
$368$	−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	$-0.955000\pi$
$373$		−	5.44254i		−	0.281804i	0.990024	−	0.140902i	$-0.0450002\pi$
$374$	−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	−0.175066	−	0.984557i	$-0.556014\pi$
$379$	−19.9327	−	8.87463i	−1.02388	−	0.455859i	−0.848810	+	0.528698i	$0.822680\pi$
$380$	−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	−0.900658	−	0.434529i	$-0.856915\pi$
$383$	−33.0992	+	3.47887i	−1.69129	+	0.177762i	−0.790633	+	0.612291i	$0.790248\pi$
$384$	−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	0.771701	+	0.635985i	$0.219406\pi$
$389$	−2.27536	+	21.6486i	−0.115365	+	1.09763i	−0.887067	+	0.461641i	$0.847261\pi$
$390$	−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	−0.694277	−	0.719708i	$-0.744276\pi$
$397$	−8.33120	+	4.81002i	−0.418131	+	0.241408i	0.276146	+	0.961116i	$0.410943\pi$
$398$	−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	0.980883	−	0.194598i	$-0.0623402\pi$
$401$	1.46083	+	4.49596i	0.0729502	+	0.224518i	−0.907933	+	0.419116i	$0.862340\pi$
$402$	−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	−0.863029	−	0.505155i	$-0.831435\pi$
$409$	−17.3331	+	10.0073i	−0.857066	+	0.494827i	0.00596251	+	0.999982i	$0.498102\pi$
$410$	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	−0.729234	−	0.684265i	$-0.760123\pi$
$419$	−35.2361	−	11.4489i	−1.72140	−	0.559316i	−0.992163	+	0.124949i	$0.960123\pi$
$420$	−10.6172	−	1.91257i	−0.518067	−	0.0933237i
$421$	−7.42481	−	8.24609i	−0.361863	−	0.401890i	0.534530	−	0.845149i	$-0.320489\pi$
$421$	−7.42481	−	8.24609i	−0.361863	−	0.401890i	−0.896393	+	0.443260i	$0.853822\pi$
$422$	−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	0.720544	+	0.693409i	$0.243892\pi$
$431$	7.14846	+	33.6309i	0.344329	+	1.61994i	−0.376215	+	0.926532i	$0.622775\pi$
$432$	−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	−0.369602	−	0.929190i	$-0.620506\pi$
$439$	12.9884	−	22.4965i	0.619901	−	1.07370i	0.989503	−	0.144510i	$-0.0461606\pi$
$440$	−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	0.507466	−	0.861672i	$-0.330582\pi$
$443$	31.3056	−	13.9382i	1.48737	−	0.662222i	0.979908	+	0.199450i	$0.0639157\pi$
$444$	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	−0.890050	−	0.455864i	$-0.849330\pi$
$449$	2.07585	−	6.38882i	0.0979657	−	0.301507i	0.988015	+	0.154356i	$0.0493304\pi$
$450$	−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	0.793133	−	0.609049i	$-0.208449\pi$
$457$	9.81196	+	7.12881i	0.458984	+	0.333471i	−0.334149	+	0.942520i	$0.608449\pi$
$458$	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	−0.0538170	−	0.998551i	$-0.517139\pi$
$461$	18.8779	−	13.7156i	0.879231	−	0.638799i	0.933048	+	0.359752i	$0.117139\pi$
$462$	17.7226	−	20.3980i	0.824530	−	0.949002i
$463$	−1.56478	−	4.81591i	−0.0727216	−	0.223814i	0.908089	−	0.418777i	$-0.137541\pi$
$463$	−1.56478	−	4.81591i	−0.0727216	−	0.223814i	−0.980811	+	0.194963i	$0.937541\pi$
$464$	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	0.994341	+	0.106231i	$0.0338783\pi$
$467$	5.45319	+	16.7832i	0.252343	+	0.776633i	−0.741998	+	0.670402i	$0.766122\pi$
$468$	−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	−0.468289	−	0.883576i	$-0.655129\pi$
$479$	−24.2946	−	2.55347i	−1.11005	−	0.116671i	−0.641761	+	0.766905i	$0.721796\pi$
$480$	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	−0.776872	−	0.629659i	$-0.783195\pi$
$487$	−18.2894	+	8.14298i	−0.828773	+	0.368994i	−0.0519013	+	0.998652i	$0.516528\pi$
$488$	−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	−0.781785	−	0.623549i	$-0.785690\pi$
$491$	3.30420	−	5.72305i	0.149117	−	0.258277i	0.930901	+	0.365271i	$0.119024\pi$
$492$	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	0.999763	−	0.0217715i	$-0.00693062\pi$
$499$	1.73298	+	8.15303i	0.0775788	+	0.364980i	−0.922184	+	0.386751i	$0.873597\pi$
$500$	−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	0.861032	−	0.508551i	$-0.169819\pi$
$503$	23.7564	+	10.5771i	1.05925	+	0.471607i	0.198216	+	0.980158i	$0.436485\pi$
$504$	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	0.752532	−	0.658556i	$-0.228832\pi$
$509$	0.426920	+	0.474143i	0.0189229	+	0.0210160i	−0.733609	+	0.679572i	$0.762166\pi$
$510$	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	−0.987794	−	0.155764i	$-0.950216\pi$
$521$	−30.7412	+	17.7484i	−1.34680	+	0.777573i	−0.359002	+	0.933337i	$0.616883\pi$
$522$	2.31300	+	2.39274i	0.101237	+	0.104728i
$523$	−25.4889	+	18.5188i	−1.11455	+	0.809769i	−0.983374	−	0.181590i	$-0.941876\pi$
$523$	−25.4889	+	18.5188i	−1.11455	+	0.809769i	−0.131177	+	0.991359i	$0.541876\pi$
$524$	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	0.807386	+	0.590024i	$0.200882\pi$
$541$	−2.44292	+	23.2429i	−0.105029	+	0.999289i	−0.912416	+	0.409265i	$0.865785\pi$
$542$	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	−0.198436	−	0.980114i	$-0.563586\pi$
$547$	−4.41471	+	0.464004i	−0.188759	+	0.0198394i	0.00967713	+	0.999953i	$0.496920\pi$
$548$	−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	$0.00840035\pi$
$557$			1.24553i			0.0527748i	−0.999652	+	0.0263874i	$0.991600\pi$
$558$	−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	0.386381	+	0.922339i	$0.373725\pi$
$563$	−14.3689	+	24.8877i	−0.605579	+	1.04889i	−0.991960	+	0.126554i	$0.959608\pi$
$564$	−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	−0.999371	−	0.0354618i	$-0.988710\pi$
$569$	−0.696805	−	6.62965i	−0.0292116	−	0.277930i	0.970159	−	0.242468i	$-0.0779569\pi$
$570$	−5.46964	+	5.24306i	−0.229098	+	0.219608i
$571$	12.3699	−	11.1379i	0.517664	−	0.466107i	−0.368401	−	0.929667i	$-0.620095\pi$
$571$	12.3699	−	11.1379i	0.517664	−	0.466107i	0.886066	+	0.463560i	$0.153428\pi$
$572$	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	−0.988975	−	0.148082i	$-0.952690\pi$
$577$	−29.7767	−	26.8111i	−1.23962	−	1.11616i	−0.250647	−	0.968079i	$-0.580643\pi$
$578$	−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	−0.493494	−	0.869749i	$-0.664281\pi$
$587$	−9.24334	+	3.00334i	−0.381514	+	0.123961i	0.111981	+	0.993710i	$0.464281\pi$
$588$	−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	−0.547525	−	0.836789i	$-0.684430\pi$
$593$	1.92654	−	1.39972i	0.0791136	−	0.0574794i	0.626639	+	0.779310i	$0.284430\pi$
$594$	−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	−0.972244	−	0.233969i	$-0.924828\pi$
$599$	0.271888	−	1.27913i	0.0111091	−	0.0522640i	0.983353	+	0.181705i	$0.0581618\pi$
$600$	6.68843	+	5.50135i	0.273054	+	0.224592i
$601$	−8.98038	−	8.08597i	−0.366317	−	0.329834i	0.465331	−	0.885137i	$-0.345935\pi$
$601$	−8.98038	−	8.08597i	−0.366317	−	0.329834i	−0.831648	+	0.555303i	$0.812602\pi$
$602$	−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	0.140101	−	0.990137i	$-0.455257\pi$
$607$	28.0733	−	25.2773i	1.13946	−	1.02597i	0.999358	−	0.0358361i	$-0.0114094\pi$
$608$	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	−0.00902722	−	0.999959i	$-0.502873\pi$
$613$	−18.7717	−	8.35770i	−0.758182	−	0.337564i	−0.749155	+	0.662395i	$0.769540\pi$
$614$	−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	0.114035	−	0.993477i	$-0.463622\pi$
$617$	15.4575	−	3.28559i	0.622295	−	0.132273i	0.508260	+	0.861204i	$0.330289\pi$
$618$	7.51819	+	5.26144i	0.302426	+	0.211646i
$619$		−	36.2704i		−	1.45783i	−0.684603	−	0.728916i	$-0.740025\pi$
$619$		−	36.2704i		−	1.45783i	0.684603	−	0.728916i	$-0.259975\pi$
$620$	−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	0.450153	−	0.892952i	$-0.351370\pi$
$631$	27.0319	−	2.84117i	1.07612	−	0.113105i	0.625971	+	0.779846i	$0.284703\pi$
$632$	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	−0.146325	−	0.989237i	$-0.546744\pi$
$641$	−17.2759	−	3.67211i	−0.682358	−	0.145040i	−0.536033	+	0.844197i	$0.680078\pi$
$642$	23.7369	+	13.1497i	0.936821	+	0.518977i
$643$	33.9480	+	24.6647i	1.33878	+	0.972679i	0.999488	+	0.0319970i	$0.0101867\pi$
$643$	33.9480	+	24.6647i	1.33878	+	0.972679i	0.339290	+	0.940682i	$0.389813\pi$
$644$	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	0.418665	−	0.908141i	$-0.362498\pi$
$647$	−14.6106	−	20.1098i	−0.574402	−	0.790597i	−0.993068	+	0.117543i	$0.962498\pi$
$648$	−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	−0.999787	−	0.0206500i	$-0.993426\pi$
$653$	−5.18948	−	15.9716i	−0.203080	−	0.625016i	0.796707	−	0.604366i	$-0.206574\pi$
$654$	−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	−0.267903	−	0.963446i	$-0.586331\pi$
$659$	18.7700	−	25.8347i	0.731175	−	1.00638i	0.999078	−	0.0429303i	$-0.0136694\pi$
$660$	−20.4110	+	7.34371i	−0.794496	+	0.285854i
$661$	14.8948	+	3.16598i	0.579339	+	0.123142i	0.488255	−	0.872701i	$-0.337634\pi$
$661$	14.8948	+	3.16598i	0.579339	+	0.123142i	0.0910838	+	0.995843i	$0.470967\pi$
$662$	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	0.00601105	−	0.999982i	$-0.498087\pi$
$673$	19.5388	−	8.69923i	0.753165	−	0.335330i	0.747154	+	0.664651i	$0.231420\pi$
$674$	−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	−0.0776859	−	0.996978i	$-0.524753\pi$
$677$	−25.4972	−	14.7208i	−0.979937	−	0.565767i	−0.902251	+	0.431211i	$0.858086\pi$
$678$	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	−0.162909	−	0.986641i	$-0.552088\pi$
$691$	12.1261	−	5.39891i	0.461300	−	0.205384i	0.624210	+	0.781257i	$0.285421\pi$
$692$	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	0.477641	−	0.878555i	$-0.341492\pi$
$701$	−9.16543	−	8.25259i	−0.346174	−	0.311696i	−0.823815	+	0.566859i	$0.808158\pi$
$702$	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	0.938977	+	0.343980i	$0.111775\pi$
$709$	25.9870	+	35.7680i	0.975962	+	1.34330i	0.0369846	+	0.999316i	$0.488225\pi$
$710$	−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	0.751067	−	0.660225i	$-0.229539\pi$
$719$	−5.26197	−	9.11400i	−0.196238	−	0.339895i	−0.947306	+	0.320331i	$0.896206\pi$
$720$	−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	−0.250702	−	0.968064i	$-0.580661\pi$
$727$	−18.7985	−	1.97580i	−0.697197	−	0.0732784i	−0.446495	+	0.894786i	$0.647328\pi$
$728$	−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	0.0535309	−	0.998566i	$-0.482952\pi$
$733$	8.48784	−	0.892108i	0.313506	−	0.0329508i	0.259975	+	0.965615i	$0.416286\pi$
$734$	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	−0.0706049	−	0.997504i	$-0.522493\pi$
$739$	−26.3628	−	15.2206i	−0.969772	−	0.559898i	−0.899167	+	0.437607i	$0.855826\pi$
$740$	−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	$-0.720189\pi$
$743$		−	41.9847i		−	1.54027i	0.637882	−	0.770134i	$-0.279811\pi$
$744$	−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	0.286196	−	0.958171i	$-0.407609\pi$
$751$	−6.42254	−	2.85950i	−0.234362	−	0.104345i	−0.520558	+	0.853827i	$0.674276\pi$
$752$	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	0.832119	+	0.554596i	$0.187127\pi$
$757$	35.6769	+	39.6232i	1.29670	+	1.44013i	0.464578	+	0.885532i	$0.346206\pi$
$758$	−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	0.779053	+	0.626958i	$0.215700\pi$
$761$	−3.12628	+	29.7446i	−0.113328	+	1.07824i	−0.892381	+	0.451283i	$0.850967\pi$
$762$	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	0.959567	−	0.281480i	$-0.0908253\pi$
$769$	6.54489	+	11.3361i	0.236015	+	0.408789i	−0.723552	+	0.690269i	$0.757492\pi$
$770$	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	0.273037	−	0.962004i	$-0.411972\pi$
$773$	29.4538	−	9.57012i	1.05938	−	0.344213i	0.786343	+	0.617790i	$0.211972\pi$
$774$	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	−0.655849	−	0.754892i	$-0.727689\pi$
$787$	4.58569	−	5.09293i	0.163462	−	0.181543i	0.819312	+	0.573349i	$0.194356\pi$
$788$	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	0.702751	−	0.711435i	$-0.251955\pi$
$797$	−8.36153	−	18.7803i	−0.296181	−	0.665232i	−0.998932	+	0.0462029i	$0.985288\pi$
$798$	−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	0.397827	−	0.917460i	$-0.369764\pi$
$809$	32.2664	−	6.85843i	1.13442	−	0.241129i	0.736598	+	0.676331i	$0.236431\pi$
$810$	12.1583	−	16.0367i	0.427200	−	0.563471i
$811$	−13.1076	+	22.7030i	−0.460269	+	0.797208i	−0.998974	−	0.0452857i	$-0.985580\pi$
$811$	−13.1076	+	22.7030i	−0.460269	+	0.797208i	0.538706	+	0.842494i	$0.318914\pi$
$812$	−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	−0.820414	−	0.571770i	$-0.806257\pi$
$821$	5.14016	−	15.8198i	0.179393	−	0.552114i	0.999807	+	0.0196557i	$0.00625701\pi$
$822$	4.42157	+	12.8306i	0.154220	+	0.447517i
$823$	0.450295	−	4.28427i	0.0156963	−	0.149340i	−0.983867	−	0.178904i	$-0.942745\pi$
$823$	0.450295	−	4.28427i	0.0156963	−	0.149340i	0.999563	+	0.0295633i	$0.00941166\pi$
$824$	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	0.783754	+	0.621071i	$0.213302\pi$
$827$	−5.31594	+	25.0095i	−0.184853	+	0.869667i	−0.968607	+	0.248595i	$0.920031\pi$
$828$	−20.5912	+	2.90460i	−0.715594	+	0.100942i
$829$	−29.0543	+	39.9899i	−1.00910	+	1.38891i	−0.0895266	+	0.995984i	$0.528535\pi$
$829$	−29.0543	+	39.9899i	−1.00910	+	1.38891i	−0.919572	+	0.392921i	$0.871465\pi$
$830$	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	−0.775242	−	0.631664i	$-0.782372\pi$
$839$	−29.8676	+	9.70456i	−1.03114	+	0.335039i	−0.255901	+	0.966703i	$0.582372\pi$
$840$	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	−0.194912	−	0.980821i	$-0.562442\pi$
$853$	−27.1358	−	8.81695i	−0.929111	−	0.301887i	−0.734199	+	0.678934i	$0.762442\pi$
$854$	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	−0.956733	−	0.290966i	$-0.906023\pi$
$857$	−2.38301	−	22.6728i	−0.0814021	−	0.774489i	0.875331	−	0.483524i	$-0.160643\pi$
$858$	−21.7273	−	46.5635i	−0.741759	−	1.58965i
$859$	−5.48315	−	12.3154i	−0.187083	−	0.420195i	0.795517	−	0.605932i	$-0.207199\pi$
$859$	−5.48315	−	12.3154i	−0.187083	−	0.420195i	−0.982600	+	0.185737i	$0.940533\pi$
$860$	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	−0.405714	−	0.914000i	$-0.632977\pi$
$863$	−41.1311	−	23.7470i	−1.40012	−	0.808359i	−0.994404	+	0.105641i	$0.966311\pi$
$864$	−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	0.742279	−	0.670091i	$-0.233745\pi$
$877$	−7.47396	−	16.7868i	−0.252378	−	0.566850i	−0.994656	+	0.103242i	$0.967078\pi$
$878$	−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	0.830732	−	0.556673i	$-0.187922\pi$
$881$	5.64763	+	6.27233i	0.190274	+	0.211320i	−0.640458	+	0.767993i	$0.721256\pi$
$882$	−2.11133	−	0.851781i	−0.0710921	−	0.0286810i
$883$	−4.02717	+	12.3944i	−0.135525	+	0.417103i	−0.995671	−	0.0929443i	$-0.970372\pi$
$883$	−4.02717	+	12.3944i	−0.135525	+	0.417103i	0.860146	+	0.510047i	$0.170372\pi$
$884$	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	−0.643798	−	0.765196i	$-0.722642\pi$
$887$	5.49492	−	6.10273i	0.184501	−	0.204910i	0.828299	+	0.560286i	$0.189309\pi$
$888$	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	−0.818806	−	0.574070i	$-0.805364\pi$
$907$	−0.596535	+	0.821060i	−0.0198076	+	0.0272628i	0.798998	+	0.601333i	$0.205364\pi$
$908$	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	−0.869455	−	0.494012i	$-0.835530\pi$
$911$	−8.67052	+	9.62959i	−0.287267	+	0.319043i	0.582188	+	0.813054i	$0.302197\pi$
$912$	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	0.733523	+	0.679665i	$0.237875\pi$
$919$	4.76975	+	45.3811i	0.157339	+	1.49699i	−0.576183	+	0.817320i	$0.695459\pi$
$920$	−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	−0.302886	−	0.953027i	$-0.597950\pi$
$937$	18.6118	−	41.8028i	0.608021	−	1.36564i	0.910907	−	0.412611i	$-0.135383\pi$
$938$	−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	−0.999680	−	0.0252928i	$-0.991948\pi$
$941$	−0.831437	−	7.91060i	−0.0271041	−	0.257878i	0.972576	−	0.232585i	$-0.0747185\pi$
$942$	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	0.176315	−	0.984334i	$-0.443582\pi$
$947$	4.43511	+	0.466149i	0.144122	+	0.0151478i	−0.0321929	+	0.999482i	$0.510249\pi$
$948$	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	−0.701032	−	0.713130i	$-0.747277\pi$
$953$	5.98355	−	8.23565i	0.193826	−	0.266779i	0.894858	+	0.446351i	$0.147277\pi$
$954$	−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	0.753238	−	0.657748i	$-0.228491\pi$
$967$	−6.00188	−	10.3956i	−0.193008	−	0.334299i	−0.946246	+	0.323449i	$0.895158\pi$
$968$	−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	0.821612	+	0.570047i	$0.193075\pi$
$971$	−5.01151	+	23.5773i	−0.160827	+	0.756631i	−0.982439	+	0.186584i	$0.940258\pi$
$972$	−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	−0.892333	−	0.451377i	$-0.850933\pi$
$977$	2.96604	−	9.12854i	0.0948921	−	0.292048i	0.987226	+	0.159329i	$0.0509330\pi$
$978$	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	0.997412	+	0.0719028i	$0.0229071\pi$
$983$	12.0222	+	27.0022i	0.383447	+	0.861236i	−0.613964	+	0.789334i	$0.710426\pi$
$984$	−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	$0.163924\pi$
$991$			31.0092i			0.985039i	−0.870301	+	0.492520i	$0.836076\pi$
$992$	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	0.753125	−	0.657877i	$-0.228545\pi$
$997$	17.6806	+	10.2079i	0.559950	+	0.323287i	−0.193175	+	0.981164i	$0.561879\pi$
$998$	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.179.8	yes	256
3.2	odd	2		930.2.bo.a.179.12	✓	256
5.4	even	2		930.2.bo.a.179.25	yes	256
15.14	odd	2	inner	930.2.bo.b.179.21	yes	256
31.22	odd	30	inner	930.2.bo.b.239.21	yes	256
93.53	even	30		930.2.bo.a.239.25	yes	256
155.84	odd	30		930.2.bo.a.239.12	yes	256
465.239	even	30	inner	930.2.bo.b.239.8	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.12	✓	256	3.2	odd	2
930.2.bo.a.179.25	yes	256	5.4	even	2
930.2.bo.a.239.12	yes	256	155.84	odd	30
930.2.bo.a.239.25	yes	256	93.53	even	30
930.2.bo.b.179.8	yes	256	1.1	even	1	trivial
930.2.bo.b.179.21	yes	256	15.14	odd	2	inner
930.2.bo.b.239.8	yes	256	465.239	even	30	inner
930.2.bo.b.239.21	yes	256	31.22	odd	30	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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