LMFDB - Embedded newform 483.2.bc.a.44.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(11,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 44, 27]))

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

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

chi := DirichletCharacter("483.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bc (of order $66$, degree $20$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			44.1
Character	$\chi$	$=$	483.44
Dual form			483.2.bc.a.11.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.22080 - 2.36802i) q^{2} +(1.28284 + 1.16376i) q^{3} +(-2.95705 + 4.15260i) q^{4} +(-2.00169 + 1.90861i) q^{5} +(1.18972 - 4.45849i) q^{6} +(1.48870 - 2.18719i) q^{7} +(8.16926 + 1.17456i) q^{8} +(0.291334 + 2.98582i) q^{9} +O(q^{10})$	\(q+(-1.22080 - 2.36802i) q^{2} +(1.28284 + 1.16376i) q^{3} +(-2.95705 + 4.15260i) q^{4} +(-2.00169 + 1.90861i) q^{5} +(1.18972 - 4.45849i) q^{6} +(1.48870 - 2.18719i) q^{7} +(8.16926 + 1.17456i) q^{8} +(0.291334 + 2.98582i) q^{9} +(6.96327 + 2.41001i) q^{10} +(-4.64392 - 2.39411i) q^{11} +(-8.62602 + 1.88581i) q^{12} +(-0.404267 - 0.466549i) q^{13} +(-6.99670 - 0.855148i) q^{14} +(-4.78899 + 0.118947i) q^{15} +(-3.85694 - 11.1439i) q^{16} +(-4.73537 + 0.452173i) q^{17} +(6.71482 - 4.33497i) q^{18} +(-0.348453 + 3.64916i) q^{19} +(-2.00658 - 13.9560i) q^{20} +(4.45511 - 1.07332i) q^{21} +13.9196i q^{22} +(-3.61227 + 3.15460i) q^{23} +(9.11291 + 11.0138i) q^{24} +(0.126070 - 2.64653i) q^{25} +(-0.611268 + 1.52687i) q^{26} +(-3.10104 + 4.16936i) q^{27} +(4.68035 + 12.6496i) q^{28} +(2.66357 + 1.21641i) q^{29} +(6.12806 + 11.1952i) q^{30} +(-2.18777 + 0.875852i) q^{31} +(-10.2896 + 10.7914i) q^{32} +(-3.17122 - 8.47564i) q^{33} +(6.85169 + 10.6614i) q^{34} +(1.19457 + 7.21940i) q^{35} +(-13.2604 - 7.61943i) q^{36} +(-5.82393 - 1.41287i) q^{37} +(9.06668 - 3.62975i) q^{38} +(0.0243421 - 1.06897i) q^{39} +(-18.5941 + 13.2408i) q^{40} +(-0.565701 + 1.92660i) q^{41} +(-7.98042 - 9.23948i) q^{42} +(-9.43825 + 1.35702i) q^{43} +(23.6740 - 12.2048i) q^{44} +(-6.28191 - 5.42064i) q^{45} +(11.8800 + 4.70280i) q^{46} +(4.14126 + 2.39095i) q^{47} +(8.02097 - 18.7843i) q^{48} +(-2.56756 - 6.51211i) q^{49} +(-6.42093 + 2.93234i) q^{50} +(-6.60092 - 4.93076i) q^{51} +(3.13283 - 0.299149i) q^{52} +(-9.05431 - 1.74508i) q^{53} +(13.6589 + 2.25337i) q^{54} +(13.8651 - 4.07115i) q^{55} +(14.7305 - 16.1191i) q^{56} +(-4.69375 + 4.27576i) q^{57} +(-0.371197 - 7.79239i) q^{58} +(5.54146 + 1.91792i) q^{59} +(13.6673 - 20.2385i) q^{60} +(2.87770 - 3.65929i) q^{61} +(4.74486 + 4.11145i) q^{62} +(6.96425 + 3.80778i) q^{63} +(15.4862 + 4.54716i) q^{64} +(1.69967 + 0.162299i) q^{65} +(-16.1991 + 17.8566i) q^{66} +(2.89512 + 0.137912i) q^{67} +(12.1250 - 21.0012i) q^{68} +(-8.30514 - 0.156978i) q^{69} +(15.6373 - 11.6422i) q^{70} +(5.45232 - 8.48397i) q^{71} +(-1.12705 + 24.7341i) q^{72} +(-1.31358 + 1.84466i) q^{73} +(3.76414 + 15.5160i) q^{74} +(3.24165 - 3.24835i) q^{75} +(-14.1231 - 12.2377i) q^{76} +(-12.1497 + 6.59301i) q^{77} +(-2.56107 + 1.24736i) q^{78} +(2.98902 + 15.5085i) q^{79} +(28.9897 + 14.9452i) q^{80} +(-8.83025 + 1.73974i) q^{81} +(5.25283 - 1.01240i) q^{82} +(-3.04637 + 0.894494i) q^{83} +(-8.71692 + 21.6741i) q^{84} +(8.61572 - 9.94307i) q^{85} +(14.7356 + 20.6933i) q^{86} +(2.00132 + 4.66022i) q^{87} +(-35.1253 - 25.0126i) q^{88} +(5.97859 + 2.39346i) q^{89} +(-5.16722 + 21.4932i) q^{90} +(-1.62226 + 0.189657i) q^{91} +(-2.41811 - 24.3286i) q^{92} +(-3.82583 - 1.42246i) q^{93} +(0.606188 - 12.7254i) q^{94} +(-6.26732 - 7.96955i) q^{95} +(-25.7584 + 1.86901i) q^{96} +(4.16332 - 14.1790i) q^{97} +(-12.2863 + 14.0300i) q^{98} +(5.79544 - 14.5634i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9	$ 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9} - 22 q^{10} - 25 q^{12} - 72 q^{13} - 44 q^{15} + 38 q^{16} - 45 q^{18} - 22 q^{19} + 44 q^{21} + 2 q^{24} + 18 q^{25} - 90 q^{27} - 44 q^{28} - 55 q^{30} - 18 q^{31} - 11 q^{33} - 88 q^{34} - 108 q^{36} - 66 q^{37} + q^{39} - 22 q^{40} - 22 q^{42} - 2 q^{46} - 228 q^{48} - 128 q^{49} - 11 q^{51} - 166 q^{52} + 35 q^{54} - 160 q^{55} - 44 q^{57} - 126 q^{58} - 11 q^{60} + 66 q^{61} + 33 q^{63} + 40 q^{64} + 22 q^{66} - 22 q^{67} - 24 q^{69} + 68 q^{70} - 149 q^{72} - 42 q^{73} + 123 q^{75} - 88 q^{76} - 108 q^{78} - 66 q^{79} - 81 q^{81} - 14 q^{82} + 44 q^{84} - 200 q^{85} + 75 q^{87} + 66 q^{88} + 16 q^{93} - 146 q^{94} + 5 q^{96} - 88 q^{97} - 308 q^{99}+O(q^{100}) $ 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9 - 22 * q^10 - 25 * q^12 - 72 * q^13 - 44 * q^15 + 38 * q^16 - 45 * q^18 - 22 * q^19 + 44 * q^21 + 2 * q^24 + 18 * q^25 - 90 * q^27 - 44 * q^28 - 55 * q^30 - 18 * q^31 - 11 * q^33 - 88 * q^34 - 108 * q^36 - 66 * q^37 + q^39 - 22 * q^40 - 22 * q^42 - 2 * q^46 - 228 * q^48 - 128 * q^49 - 11 * q^51 - 166 * q^52 + 35 * q^54 - 160 * q^55 - 44 * q^57 - 126 * q^58 - 11 * q^60 + 66 * q^61 + 33 * q^63 + 40 * q^64 + 22 * q^66 - 22 * q^67 - 24 * q^69 + 68 * q^70 - 149 * q^72 - 42 * q^73 + 123 * q^75 - 88 * q^76 - 108 * q^78 - 66 * q^79 - 81 * q^81 - 14 * q^82 + 44 * q^84 - 200 * q^85 + 75 * q^87 + 66 * q^88 + 16 * q^93 - 146 * q^94 + 5 * q^96 - 88 * q^97 - 308 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{13}{22}\right)$

Coefficient data

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

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

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

$2$	−1.22080	−	2.36802i	−0.863235	−	1.67444i	−0.730096	−	0.683345i	$-0.760525\pi$
$2$	−1.22080	−	2.36802i	−0.863235	−	1.67444i	−0.133139	−	0.991097i	$-0.542506\pi$
$3$	1.28284	+	1.16376i	0.740645	+	0.671896i
$3$	1.28284	+	1.16376i	0.740645	+	0.671896i
$4$	−2.95705	+	4.15260i	−1.47852	+	2.07630i
$5$	−2.00169	+	1.90861i	−0.895182	+	0.853554i	−0.989873	−	0.141952i	$-0.954662\pi$
$5$	−2.00169	+	1.90861i	−0.895182	+	0.853554i	0.0946915	+	0.995507i	$0.469814\pi$
$6$	1.18972	−	4.45849i	0.485700	−	1.82017i
$7$	1.48870	−	2.18719i	0.562674	−	0.826679i
$7$	1.48870	−	2.18719i	0.562674	−	0.826679i
$8$	8.16926	+	1.17456i	2.88827	+	0.415270i
$9$	0.291334	+	2.98582i	0.0971114	+	0.995274i
$10$	6.96327	+	2.41001i	2.20198	+	0.762113i
$11$	−4.64392	−	2.39411i	−1.40019	−	0.721850i	−0.417777	−	0.908550i	$-0.637191\pi$
$11$	−4.64392	−	2.39411i	−1.40019	−	0.721850i	−0.982417	+	0.186700i	$0.940221\pi$
$12$	−8.62602	+	1.88581i	−2.49012	+	0.544385i
$13$	−0.404267	−	0.466549i	−0.112123	−	0.129397i	0.696913	−	0.717155i	$-0.254556\pi$
$13$	−0.404267	−	0.466549i	−0.112123	−	0.129397i	−0.809037	+	0.587758i	$0.800011\pi$
$14$	−6.99670	−	0.855148i	−1.86995	−	0.228548i
$15$	−4.78899	+	0.118947i	−1.23651	+	0.0307119i
$16$	−3.85694	−	11.1439i	−0.964234	−	2.78597i
$17$	−4.73537	+	0.452173i	−1.14850	+	0.109668i	−0.651894	−	0.758310i	$-0.726025\pi$
$17$	−4.73537	+	0.452173i	−1.14850	+	0.109668i	−0.496602	+	0.867978i	$0.665419\pi$
$18$	6.71482	−	4.33497i	1.58270	−	1.02176i
$19$	−0.348453	+	3.64916i	−0.0799406	+	0.837176i	0.863218	+	0.504832i	$0.168446\pi$
$19$	−0.348453	+	3.64916i	−0.0799406	+	0.837176i	−0.943158	+	0.332344i	$0.892161\pi$
$20$	−2.00658	−	13.9560i	−0.448684	−	3.12067i
$21$	4.45511	−	1.07332i	0.972184	−	0.234217i
$22$			13.9196i			2.96767i
$23$	−3.61227	+	3.15460i	−0.753211	+	0.657779i
$23$	−3.61227	+	3.15460i	−0.753211	+	0.657779i
$24$	9.11291	+	11.0138i	1.86016	+	2.24818i
$25$	0.126070	−	2.64653i	0.0252139	−	0.529306i
$26$	−0.611268	+	1.52687i	−0.119880	+	0.299445i
$27$	−3.10104	+	4.16936i	−0.596795	+	0.802394i
$28$	4.68035	+	12.6496i	0.884503	+	2.39054i
$29$	2.66357	+	1.21641i	0.494613	+	0.225882i	0.647074	−	0.762427i	$-0.275992\pi$
$29$	2.66357	+	1.21641i	0.494613	+	0.225882i	−0.152461	+	0.988310i	$0.548720\pi$
$30$	6.12806	+	11.1952i	1.11883	+	2.04396i
$31$	−2.18777	+	0.875852i	−0.392935	+	0.157308i	−0.559712	−	0.828687i	$-0.689088\pi$
$31$	−2.18777	+	0.875852i	−0.392935	+	0.157308i	0.166777	+	0.985995i	$0.446664\pi$
$32$	−10.2896	+	10.7914i	−1.81896	+	1.90767i
$33$	−3.17122	−	8.47564i	−0.552039	−	1.47542i
$34$	6.85169	+	10.6614i	1.17506	+	1.82842i
$35$	1.19457	+	7.21940i	0.201919	+	1.22030i
$36$	−13.2604	−	7.61943i	−2.21007	−	1.26990i
$37$	−5.82393	−	1.41287i	−0.957448	−	0.232274i	−0.273554	−	0.961857i	$-0.588199\pi$
$37$	−5.82393	−	1.41287i	−0.957448	−	0.232274i	−0.683893	+	0.729582i	$0.739715\pi$
$38$	9.06668	−	3.62975i	1.47081	−	0.588823i
$39$	0.0243421	−	1.06897i	0.00389785	−	0.171173i
$40$	−18.5941	+	13.2408i	−2.93998	+	2.09355i
$41$	−0.565701	+	1.92660i	−0.0883476	+	0.300884i	−0.991799	−	0.127806i	$-0.959207\pi$
$41$	−0.565701	+	1.92660i	−0.0883476	+	0.300884i	0.903452	+	0.428690i	$0.141025\pi$
$42$	−7.98042	−	9.23948i	−1.23141	−	1.42568i
$43$	−9.43825	+	1.35702i	−1.43932	+	0.206943i	−0.817370	−	0.576114i	$-0.804569\pi$
$43$	−9.43825	+	1.35702i	−1.43932	+	0.206943i	−0.621950	+	0.783057i	$0.713659\pi$
$44$	23.6740	−	12.2048i	3.56900	−	1.83995i
$45$	−6.28191	−	5.42064i	−0.936452	−	0.808061i
$46$	11.8800	+	4.70280i	1.75161	+	0.693390i
$47$	4.14126	+	2.39095i	0.604064	+	0.348757i	0.770639	−	0.637272i	$-0.219937\pi$
$47$	4.14126	+	2.39095i	0.604064	+	0.348757i	−0.166575	+	0.986029i	$0.553271\pi$
$48$	8.02097	−	18.7843i	1.15773	−	2.71128i
$49$	−2.56756	−	6.51211i	−0.366795	−	0.930302i
$50$	−6.42093	+	2.93234i	−0.908057	+	0.414696i
$51$	−6.60092	−	4.93076i	−0.924314	−	0.690445i
$52$	3.13283	−	0.299149i	0.434445	−	0.0414845i
$53$	−9.05431	−	1.74508i	−1.24371	−	0.239705i	−0.475389	−	0.879776i	$-0.657693\pi$
$53$	−9.05431	−	1.74508i	−1.24371	−	0.239705i	−0.768316	+	0.640071i	$0.778905\pi$
$54$	13.6589	+	2.25337i	1.85874	+	0.306645i
$55$	13.8651	−	4.07115i	1.86957	−	0.548954i
$56$	14.7305	−	16.1191i	1.96845	−	2.15401i
$57$	−4.69375	+	4.27576i	−0.621703	+	0.566339i
$58$	−0.371197	−	7.79239i	−0.0487406	−	1.02319i
$59$	5.54146	+	1.91792i	0.721436	+	0.249692i	0.663021	−	0.748601i	$-0.269274\pi$
$59$	5.54146	+	1.91792i	0.721436	+	0.249692i	0.0584155	+	0.998292i	$0.481395\pi$
$60$	13.6673	−	20.2385i	1.76445	−	2.61278i
$61$	2.87770	−	3.65929i	0.368451	−	0.468524i	−0.566108	−	0.824331i	$-0.691552\pi$
$61$	2.87770	−	3.65929i	0.368451	−	0.468524i	0.934559	+	0.355807i	$0.115794\pi$
$62$	4.74486	+	4.11145i	0.602598	+	0.522154i
$63$	6.96425	+	3.80778i	0.877413	+	0.479735i
$64$	15.4862	+	4.54716i	1.93577	+	0.568395i
$65$	1.69967	+	0.162299i	0.210819	+	0.0201307i
$66$	−16.1991	+	17.8566i	−1.99397	+	2.19799i
$67$	2.89512	+	0.137912i	0.353696	+	0.0168486i	0.223678	−	0.974663i	$-0.428194\pi$
$67$	2.89512	+	0.137912i	0.353696	+	0.0168486i	0.130018	+	0.991512i	$0.458497\pi$
$68$	12.1250	−	21.0012i	1.47038	−	2.54677i
$69$	−8.30514	−	0.156978i	−0.999821	−	0.0188980i
$70$	15.6373	−	11.6422i	1.86902	−	1.39151i
$71$	5.45232	−	8.48397i	0.647071	−	1.00686i	−0.350456	−	0.936579i	$-0.613973\pi$
$71$	5.45232	−	8.48397i	0.647071	−	1.00686i	0.997527	−	0.0702830i	$-0.0223902\pi$
$72$	−1.12705	+	24.7341i	−0.132824	+	2.91494i
$73$	−1.31358	+	1.84466i	−0.153743	+	0.215902i	−0.884263	−	0.466990i	$-0.845338\pi$
$73$	−1.31358	+	1.84466i	−0.153743	+	0.215902i	0.730520	+	0.682891i	$0.239278\pi$
$74$	3.76414	+	15.5160i	0.437572	+	1.80370i
$75$	3.24165	−	3.24835i	0.374313	−	0.375087i
$76$	−14.1231	−	12.2377i	−1.62003	−	1.40377i
$77$	−12.1497	+	6.59301i	−1.38459	+	0.751344i
$78$	−2.56107	+	1.24736i	−0.289984	+	0.141236i
$79$	2.98902	+	15.5085i	0.336291	+	1.74484i	0.618774	+	0.785569i	$0.287630\pi$
$79$	2.98902	+	15.5085i	0.336291	+	1.74484i	−0.282483	+	0.959272i	$0.591158\pi$
$80$	28.9897	+	14.9452i	3.24114	+	1.67093i
$81$	−8.83025	+	1.73974i	−0.981139	+	0.193305i
$82$	5.25283	−	1.01240i	0.580078	−	0.111801i
$83$	−3.04637	+	0.894494i	−0.334382	+	0.0981834i	−0.444614	−	0.895722i	$-0.646659\pi$
$83$	−3.04637	+	0.894494i	−0.334382	+	0.0981834i	0.110231	+	0.993906i	$0.464841\pi$
$84$	−8.71692	+	21.6741i	−0.951094	+	2.36484i
$85$	8.61572	−	9.94307i	0.934506	−	1.07848i
$86$	14.7356	+	20.6933i	1.58898	+	2.23142i
$87$	2.00132	+	4.66022i	0.214564	+	0.499628i
$88$	−35.1253	−	25.0126i	−3.74437	−	2.66636i
$89$	5.97859	+	2.39346i	0.633729	+	0.253707i	0.666208	−	0.745766i	$-0.267916\pi$
$89$	5.97859	+	2.39346i	0.633729	+	0.253707i	−0.0324795	+	0.999472i	$0.510340\pi$
$90$	−5.16722	+	21.4932i	−0.544673	+	2.26558i
$91$	−1.62226	+	0.189657i	−0.170059	+	0.0198815i
$92$	−2.41811	−	24.3286i	−0.252105	−	2.53643i
$93$	−3.82583	−	1.42246i	−0.396720	−	0.147503i
$94$	0.606188	−	12.7254i	0.0625235	−	1.31253i
$95$	−6.26732	−	7.96955i	−0.643014	−	0.817658i
$96$	−25.7584	+	1.86901i	−2.62896	+	0.190755i
$97$	4.16332	−	14.1790i	0.422721	−	1.43965i	−0.423049	−	0.906107i	$-0.639040\pi$
$97$	4.16332	−	14.1790i	0.422721	−	1.43965i	0.845770	−	0.533548i	$-0.179142\pi$
$98$	−12.2863	+	14.0300i	−1.24111	+	1.41725i
$99$	5.79544	−	14.5634i	0.582463	−	1.46368i
$100$	10.6172	+	8.34943i	1.06172	+	0.834943i
$101$	7.67736	−	8.05178i	0.763925	−	0.801182i	−0.220796	−	0.975320i	$-0.570865\pi$
$101$	7.67736	−	8.05178i	0.763925	−	0.801182i	0.984721	+	0.174138i	$0.0557139\pi$
$102$	−3.61774	+	21.6506i	−0.358210	+	2.14373i
$103$	0.539345	−	0.0256921i	0.0531432	−	0.00253152i	−0.0209935	−	0.999780i	$-0.506683\pi$
$103$	0.539345	−	0.0256921i	0.0531432	−	0.00253152i	0.0741367	+	0.997248i	$0.476380\pi$
$104$	−2.75457	−	4.28619i	−0.270108	−	0.420296i
$105$	−6.86920	+	10.6515i	−0.670365	+	1.03948i
$106$	6.92112	+	23.5712i	0.672238	+	2.28943i
$107$	−2.37542	−	1.86805i	−0.229640	−	0.180591i	0.496708	−	0.867917i	$-0.334542\pi$
$107$	−2.37542	−	1.86805i	−0.229640	−	0.180591i	−0.726349	+	0.687326i	$0.758784\pi$
$108$	−8.14374	−	25.2064i	−0.783631	−	2.42548i
$109$	0.465287	+	4.87271i	0.0445664	+	0.466721i	0.990016	+	0.140953i	$0.0450166\pi$
$109$	0.465287	+	4.87271i	0.0445664	+	0.466721i	−0.945450	+	0.325768i	$0.894377\pi$
$110$	−26.5670	−	27.8627i	−2.53307	−	2.65660i
$111$	−5.82690	−	8.59012i	−0.553065	−	0.815338i
$112$	−30.1156	−	8.15403i	−2.84565	−	0.770484i
$113$	14.2305	+	9.14539i	1.33869	+	0.860326i	0.996841	−	0.0794275i	$-0.0253092\pi$
$113$	14.2305	+	9.14539i	1.33869	+	0.860326i	0.341853	+	0.939754i	$0.388946\pi$
$114$	15.8552	+	5.89505i	1.48498	+	0.552122i
$115$	1.20976	−	13.2089i	0.112810	−	1.23174i
$116$	−12.9276	+	7.46375i	−1.20030	+	0.692992i
$117$	1.27525	−	1.34299i	0.117897	−	0.124160i
$118$	−2.22334	−	15.4637i	−0.204675	−	1.42355i
$119$	−6.06055	+	11.0303i	−0.555569	+	1.01114i
$120$	−39.2622	−	4.65326i	−3.58413	−	0.424783i
$121$	9.45360	+	13.2757i	0.859418	+	1.20688i
$122$	−12.1783	−	2.34718i	−1.10258	−	0.212504i
$123$	−2.96780	+	1.81317i	−0.267597	+	0.163488i
$124$	2.83229	−	11.6749i	0.254347	−	1.04843i
$125$	−4.25717	−	4.91304i	−0.380773	−	0.439435i
$126$	0.514942	−	21.1400i	0.0458746	−	1.88330i
$127$	−8.60819	+	5.53214i	−0.763853	+	0.490898i	−0.863639	−	0.504110i	$-0.831820\pi$
$127$	−8.60819	+	5.53214i	−0.763853	+	0.490898i	0.0997863	+	0.995009i	$0.468184\pi$
$128$	−2.49402	−	12.9402i	−0.220442	−	1.14376i
$129$	−13.6870	−	9.24301i	−1.20507	−	0.813802i
$130$	−1.69063	−	4.22300i	−0.148278	−	0.370381i
$131$	15.6831	−	5.42796i	1.37024	−	0.474243i	0.459848	−	0.887998i	$-0.347904\pi$
$131$	15.6831	−	5.42796i	1.37024	−	0.474243i	0.910389	+	0.413754i	$0.135783\pi$
$132$	44.5734	+	11.8941i	3.87961	+	1.03525i
$133$	7.46266	+	6.19463i	0.647095	+	0.537143i
$134$	−3.20779	−	7.02407i	−0.277110	−	0.606787i
$135$	−1.75035	−	14.2644i	−0.150646	−	1.22769i
$136$	−39.2156	−	1.86807i	−3.36271	−	0.160186i
$137$	0.647880	+	1.12216i	0.0553521	+	0.0958727i	0.892374	−	0.451297i	$-0.149039\pi$
$137$	0.647880	+	1.12216i	0.0553521	+	0.0958727i	−0.837022	+	0.547170i	$0.815705\pi$
$138$	9.76717	+	19.8584i	0.831437	+	1.69046i
$139$	−15.9701			−1.35457			−0.677285	−	0.735721i	$-0.736844\pi$
$139$	−15.9701			−1.35457			−0.677285	+	0.735721i	$0.736844\pi$
$140$	−33.5116	−	16.3876i	−2.83225	−	1.38500i
$141$	2.53006	+	7.88662i	0.213069	+	0.664173i
$142$	−26.7464	−	2.55397i	−2.24451	−	0.214324i
$143$	0.760415	+	3.13447i	0.0635891	+	0.262118i
$144$	32.1500	−	14.7627i	2.67917	−	1.23023i
$145$	−7.65330	+	2.64883i	−0.635572	+	0.219974i
$146$	5.97181	+	0.858617i	0.494231	+	0.0710597i
$147$	4.28476	−	11.3420i	0.353401	−	0.935472i
$148$	23.0887	−	20.0065i	1.89788	−	1.64452i
$149$	0.816533	+	17.1411i	0.0668930	+	1.40426i	0.743905	+	0.668285i	$0.232971\pi$
$149$	0.816533	+	17.1411i	0.0668930	+	1.40426i	−0.677012	+	0.735972i	$0.736726\pi$
$150$	−11.6495	−	3.71070i	−0.951181	−	0.302977i
$151$	−4.76074	+	13.7553i	−0.387424	+	1.11939i	0.567714	+	0.823226i	$0.307828\pi$
$151$	−4.76074	+	13.7553i	−0.387424	+	1.11939i	−0.955138	+	0.296161i	$0.904293\pi$
$152$	−7.13277	+	29.4017i	−0.578544	+	2.38479i
$153$	−2.72968	−	14.0072i	−0.220682	−	1.13242i
$154$	30.4448	+	20.7221i	2.45331	+	1.66983i
$155$	2.70758	−	5.92878i	0.217478	−	0.476211i
$156$	4.36704	+	3.26209i	0.349643	+	0.261177i
$157$	9.29218	+	6.61693i	0.741597	+	0.528089i	0.887274	−	0.461244i	$-0.152597\pi$
$157$	9.29218	+	6.61693i	0.741597	+	0.528089i	−0.145677	+	0.989332i	$0.546536\pi$
$158$	33.0754	−	26.0108i	2.63134	−	2.06931i
$159$	−9.58435	−	12.7757i	−0.760088	−	1.01318i
$160$		−	41.2398i		−	3.26029i
$161$	1.52212	+	12.5970i	0.119960	+	0.992779i
$162$	14.8997	+	18.7863i	1.17063	+	1.47599i
$163$	−0.833198	+	0.429544i	−0.0652611	+	0.0336445i	−0.490548	−	0.871414i	$-0.663203\pi$
$163$	−0.833198	+	0.429544i	−0.0652611	+	0.0336445i	0.425287	+	0.905059i	$0.360173\pi$
$164$	−6.32759	−	8.04618i	−0.494101	−	0.628301i
$165$	22.5245	+	10.9130i	1.75353	+	0.849574i
$166$	5.83718	+	6.12185i	0.453053	+	0.475148i
$167$	21.2889	+	9.72232i	1.64738	+	0.752335i	0.999952	−	0.00978749i	$-0.00311551\pi$
$167$	21.2889	+	9.72232i	1.64738	+	0.752335i	0.647432	+	0.762123i	$0.275843\pi$
$168$	37.6556	−	3.53540i	2.90519	−	0.272762i
$169$	1.79586	−	12.4905i	0.138143	−	0.960804i
$170$	−34.0634	−	8.26370i	−2.61255	−	0.633797i
$171$	−10.9973	+	0.0227089i	−0.840982	+	0.00173659i
$172$	22.2742	−	43.2060i	1.69839	−	3.29443i
$173$	−19.5245	+	0.930066i	−1.48442	+	0.0707116i	−0.774053	−	0.633121i	$-0.781774\pi$
$173$	−19.5245	+	0.930066i	−1.48442	+	0.0707116i	−0.710366	+	0.703832i	$0.751471\pi$
$174$	8.59227	−	10.4283i	0.651378	−	0.790570i
$175$	−5.60077	−	4.21562i	−0.423378	−	0.318671i
$176$	−8.76835	+	60.9852i	−0.660939	+	4.59693i
$177$	4.87679	+	8.90929i	0.366562	+	0.669663i
$178$	−1.63088	−	17.0793i	−0.122240	−	1.28015i
$179$	−9.33129	+	2.26375i	−0.697454	+	0.169200i	−0.568784	−	0.822487i	$-0.692586\pi$
$179$	−9.33129	+	2.26375i	−0.697454	+	0.169200i	−0.128670	+	0.991687i	$0.541071\pi$
$180$	41.0856	−	10.0571i	3.06234	−	0.749616i
$181$	3.38800	−	0.487121i	0.251828	−	0.0362074i	−0.0152447	−	0.999884i	$-0.504853\pi$
$181$	3.38800	−	0.487121i	0.251828	−	0.0362074i	0.267073	+	0.963676i	$0.413944\pi$
$182$	2.42956	+	3.61001i	0.180091	+	0.267592i
$183$	7.95014	−	1.34532i	0.587691	−	0.0994492i
$184$	−33.2148	+	21.5279i	−2.44863	+	1.58706i
$185$	14.3543	−	8.28745i	1.05535	−	0.609306i
$186$	1.30215	+	10.7962i	0.0954782	+	0.791614i
$187$	23.0732	+	9.23713i	1.68728	+	0.675486i
$188$	−22.1746	+	10.1268i	−1.61725	+	0.738572i
$189$	4.50266	+	12.9895i	0.327520	+	0.944844i
$190$	−11.2209	+	24.5703i	−0.814050	+	1.78252i
$191$	−6.39769	−	18.4849i	−0.462921	−	1.33752i	−0.899132	−	0.437677i	$-0.855801\pi$
$191$	−6.39769	−	18.4849i	−0.462921	−	1.33752i	0.436212	−	0.899844i	$-0.356320\pi$
$192$	14.5744	+	23.8554i	1.05182	+	1.72162i
$193$	−7.43655	−	7.09074i	−0.535295	−	0.510403i	0.373509	−	0.927627i	$-0.378155\pi$
$193$	−7.43655	−	7.09074i	−0.535295	−	0.510403i	−0.908804	+	0.417224i	$0.863003\pi$
$194$	−38.6586	+	7.45083i	−2.77553	+	0.534939i
$195$	1.99153	+	2.18621i	0.142616	+	0.156558i
$196$	34.6346	+	8.59458i	2.47390	+	0.613899i
$197$	2.01033	−	1.74196i	0.143230	−	0.124110i	−0.580299	−	0.814404i	$-0.697064\pi$
$197$	2.01033	−	1.74196i	0.143230	−	0.124110i	0.723529	+	0.690294i	$0.242519\pi$
$198$	−41.5614	+	4.05526i	−2.95364	+	0.288195i
$199$	4.60345	+	11.4989i	0.326330	+	0.815132i	0.997285	+	0.0736345i	$0.0234598\pi$
$199$	4.60345	+	11.4989i	0.326330	+	0.815132i	−0.670956	+	0.741497i	$0.734116\pi$
$200$	4.13841	−	21.4721i	0.292630	−	1.51831i
$201$	3.55347	+	3.54614i	0.250643	+	0.250126i
$202$	−28.4393	−	8.35052i	−2.00098	−	0.587541i
$203$	6.62578	−	4.01486i	0.465038	−	0.281788i
$204$	39.9947	−	12.8305i	2.80019	−	0.898311i
$205$	−2.54476	−	4.93615i	−0.177734	−	0.344756i
$206$	−0.719270	−	1.24581i	−0.0501139	−	0.0867999i
$207$	−10.4714	−	9.86655i	−0.727816	−	0.685773i
$208$	−3.63994	+	6.30456i	−0.252384	+	0.437142i
$209$	10.3547	−	16.1122i	0.716248	−	1.11450i
$210$	33.6088	+	3.26306i	2.31923	+	0.225173i
$211$	−0.743998	−	1.62913i	−0.0512189	−	0.112154i	0.882292	−	0.470702i	$-0.155999\pi$
$211$	−0.743998	−	1.62913i	−0.0512189	−	0.112154i	−0.933511	+	0.358548i	$0.883272\pi$
$212$	34.0206	−	32.4386i	2.33655	−	2.22789i
$213$	16.8677	−	4.53836i	1.15576	−	0.310963i
$214$	−1.52367	+	7.90555i	−0.104156	+	0.540412i
$215$	16.3024	−	20.7302i	1.11182	−	1.41379i
$216$	−30.2304	+	30.4182i	−2.05691	+	2.06970i
$217$	−1.34128	+	6.08894i	−0.0910519	+	0.413344i
$218$	10.9706	−	7.05040i	0.743025	−	0.477513i
$219$	−3.83185	+	0.837712i	−0.258932	+	0.0566073i
$220$	−24.0939	+	69.6147i	−1.62441	+	4.69342i
$221$	2.12532	+	2.02648i	0.142964	+	0.136316i
$222$	−13.2281	+	24.2850i	−0.887811	+	1.62990i
$223$	−9.99950	+	11.5400i	−0.669616	+	0.772778i	−0.984316	−	0.176413i	$-0.943551\pi$
$223$	−9.99950	+	11.5400i	−0.669616	+	0.772778i	0.314700	+	0.949191i	$0.398096\pi$
$224$	8.28474	+	38.5704i	0.553548	+	2.57709i
$225$	7.93879	−	0.394603i	0.529252	−	0.0263069i
$226$	4.28388	−	44.8628i	0.284959	−	2.98423i
$227$	−11.9979	+	9.43526i	−0.796329	+	0.626240i	−0.931153	−	0.364630i	$-0.881196\pi$
$227$	−11.9979	+	9.43526i	−0.796329	+	0.626240i	0.134824	+	0.990870i	$0.456953\pi$
$228$	−3.87585	−	32.1349i	−0.256685	−	2.12819i
$229$	−6.07018	−	3.50462i	−0.401129	−	0.231592i	0.285842	−	0.958277i	$-0.407727\pi$
$229$	−6.07018	−	3.50462i	−0.401129	−	0.231592i	−0.686971	+	0.726685i	$0.741060\pi$
$230$	−32.7558	+	13.2607i	−2.15986	+	0.874385i
$231$	−23.2588	−	5.68160i	−1.53032	−	0.373822i
$232$	20.3307	+	13.0657i	1.33477	+	0.857807i
$233$	1.82663	−	4.56269i	0.119666	−	0.298912i	−0.856426	−	0.516271i	$-0.827320\pi$
$233$	1.82663	−	4.56269i	0.119666	−	0.298912i	0.976092	+	0.217359i	$0.0697441\pi$
$234$	−4.73706	−	1.38031i	−0.309671	−	0.0902334i
$235$	−12.8529	+	3.11808i	−0.838430	+	0.203401i
$236$	−24.3507	+	17.3401i	−1.58510	+	1.12874i
$237$	−14.2137	+	23.3733i	−0.923280	+	1.51826i
$238$	33.5186	+	0.885727i	2.17269	+	0.0574131i
$239$	2.61692	+	8.91240i	0.169274	+	0.576495i	0.999809	+	0.0195289i	$0.00621663\pi$
$239$	2.61692	+	8.91240i	0.169274	+	0.576495i	−0.830535	+	0.556966i	$0.811965\pi$
$240$	19.7964	+	52.9092i	1.27785	+	3.41528i
$241$	4.57695	−	8.87804i	0.294827	−	0.571885i	−0.694171	−	0.719810i	$-0.744229\pi$
$241$	4.57695	−	8.87804i	0.294827	−	0.571885i	0.988999	+	0.147925i	$0.0472593\pi$
$242$	19.8962	−	38.5933i	1.27898	−	2.48087i
$243$	−13.3524	−	8.04447i	−0.856557	−	0.516053i
$244$	6.68605	+	22.7706i	0.428031	+	1.45774i
$245$	17.5685	+	8.13475i	1.12241	+	0.519710i
$246$	7.91671	+	4.81428i	0.504751	+	0.306947i
$247$	1.84338	−	1.31267i	0.117292	−	0.0835230i
$248$	−18.9012	+	4.58539i	−1.20023	+	0.291172i
$249$	−4.94896	−	2.39774i	−0.313628	−	0.151951i
$250$	−6.43702	+	16.0789i	−0.407113	+	1.01692i
$251$	−12.3365	−	7.92817i	−0.778672	−	0.500422i	0.0899208	−	0.995949i	$-0.471339\pi$
$251$	−12.3365	−	7.92817i	−0.778672	−	0.500422i	−0.868593	+	0.495527i	$0.834975\pi$
$252$	−36.4058	+	17.6599i	−2.29335	+	1.11247i
$253$	24.3275	−	6.00154i	1.52946	−	0.377313i
$254$	23.6091	+	13.6307i	1.48137	+	0.855267i
$255$	22.6239	−	2.72871i	1.41676	−	0.170878i
$256$	−2.22417	+	1.74910i	−0.139010	+	0.109319i
$257$	1.33934	−	14.0262i	0.0835454	−	0.874927i	−0.852425	−	0.522849i	$-0.824869\pi$
$257$	1.33934	−	14.0262i	0.0835454	−	0.874927i	0.935971	−	0.352078i	$-0.114525\pi$
$258$	−5.17860	+	43.6948i	−0.322406	+	2.72032i
$259$	−11.7603	+	10.6347i	−0.730747	+	0.660807i
$260$	−5.69998	+	6.57813i	−0.353498	+	0.407958i
$261$	−2.85600	+	8.30734i	−0.176782	+	0.514211i
$262$	−31.9994	−	30.5114i	−1.97693	−	1.88500i
$263$	2.64759	−	7.64971i	0.163257	−	0.471702i	−0.833467	−	0.552569i	$-0.813648\pi$
$263$	2.64759	−	7.64971i	0.163257	−	0.471702i	0.996725	+	0.0808671i	$0.0257689\pi$
$264$	−15.9514	−	72.9645i	−0.981739	−	4.49065i
$265$	21.4546	−	13.7880i	1.31794	−	0.846991i
$266$	5.55860	−	25.2341i	0.340819	−	1.54720i
$267$	4.88413	+	10.0280i	0.298904	+	0.613707i
$268$	−9.13372	+	11.6145i	−0.557931	+	0.709466i
$269$	−3.34422	+	17.3515i	−0.203901	+	1.05794i	0.725320	+	0.688412i	$0.241692\pi$
$269$	−3.34422	+	17.3515i	−0.203901	+	1.05794i	−0.929220	+	0.369526i	$0.879520\pi$
$270$	−31.6416	+	21.5588i	−1.92565	+	1.31203i
$271$	18.4812	−	17.6218i	1.12265	−	1.07045i	0.125730	−	0.992065i	$-0.459873\pi$
$271$	18.4812	−	17.6218i	1.12265	−	1.07045i	0.996923	−	0.0783828i	$-0.0249757\pi$
$272$	23.3030	+	51.0265i	1.41295	+	3.09393i
$273$	−2.30181	−	1.64462i	−0.139312	−	0.0995369i
$274$	1.86637	−	2.90412i	0.112751	−	0.175445i
$275$	−6.92153	+	11.9884i	−0.417384	+	0.722930i
$276$	25.2106	−	34.0237i	1.51750	−	2.04799i
$277$	5.13072	+	8.88667i	0.308275	+	0.533948i	0.977985	−	0.208675i	$-0.0669149\pi$
$277$	5.13072	+	8.88667i	0.308275	+	0.533948i	−0.669710	+	0.742623i	$0.733582\pi$
$278$	19.4963	+	37.8176i	1.16931	+	2.26815i
$279$	−3.25251	−	6.27713i	−0.194723	−	0.375802i
$280$	1.27911	+	60.3802i	0.0764416	+	3.60841i
$281$	15.8251	+	4.64666i	0.944045	+	0.277197i	0.717305	−	0.696759i	$-0.245375\pi$
$281$	15.8251	+	4.64666i	0.944045	+	0.277197i	0.226739	+	0.973955i	$0.427193\pi$
$282$	15.5870	−	15.6192i	0.928191	−	0.930110i
$283$	−0.680734	+	3.53198i	−0.0404654	+	0.209955i	−0.996534	−	0.0831893i	$-0.973489\pi$
$283$	−0.680734	+	3.53198i	−0.0404654	+	0.209955i	0.956068	+	0.293144i	$0.0947015\pi$
$284$	19.1077	+	47.7288i	1.13383	+	2.83218i
$285$	1.23468	−	17.5173i	0.0731363	−	1.03763i
$286$	6.49418	−	5.62724i	0.384009	−	0.332745i
$287$	3.37168	+	4.10542i	0.199024	+	0.242335i
$288$	−35.2189	−	27.5790i	−2.07529	−	1.62511i
$289$	5.52650	−	1.06515i	0.325088	−	0.0626556i
$290$	15.6156	+	14.8895i	0.916981	+	0.874339i
$291$	21.8417	−	13.3442i	1.28038	−	0.782249i
$292$	−3.77582	−	10.9095i	−0.220963	−	0.638432i
$293$	−0.428720	+	0.938765i	−0.0250461	+	0.0548432i	−0.921742	−	0.387805i	$-0.873234\pi$
$293$	−0.428720	+	0.938765i	−0.0250461	+	0.0548432i	0.896696	+	0.442648i	$0.145961\pi$
$294$	−32.0889	+	3.69990i	−1.87146	+	0.215782i
$295$	−14.7528	+	6.73739i	−0.858942	+	0.392266i
$296$	−45.9176	−	18.3827i	−2.66891	−	1.06847i
$297$	24.3829	−	11.9379i	1.41484	−	0.692710i
$298$	39.5937	−	22.8594i	2.29360	−	1.32421i
$299$	2.93210	+	0.410001i	0.169568	+	0.0237110i
$300$	3.90336	+	23.0668i	0.225361	+	1.33176i
$301$	−11.0826	+	22.6634i	−0.638793	+	1.30630i
$302$	38.3846	−	5.51887i	2.20879	−	0.317576i
$303$	19.2191	−	1.39452i	1.10411	−	0.0801133i
$304$	42.0099	−	10.1915i	2.40943	−	0.584521i
$305$	1.22389	+	12.8171i	0.0700796	+	0.733907i
$306$	−29.8370	+	23.5640i	−1.70567	+	1.34706i
$307$	1.62128	−	11.2763i	0.0925314	−	0.643570i	−0.889790	−	0.456370i	$-0.849149\pi$
$307$	1.62128	−	11.2763i	0.0925314	−	0.643570i	0.982322	−	0.187201i	$-0.0599414\pi$
$308$	8.54927	−	69.9488i	0.487140	−	3.98570i
$309$	0.721790	+	0.594708i	0.0410612	+	0.0338317i
$310$	−17.3449	+	0.826238i	−0.985122	+	0.0469271i
$311$	−8.75230	+	16.9771i	−0.496297	+	0.962683i	0.499072	+	0.866560i	$0.333674\pi$
$311$	−8.75230	+	16.9771i	−0.496297	+	0.962683i	−0.995370	+	0.0961221i	$0.969356\pi$
$312$	1.45443	−	8.70414i	0.0823411	−	0.492775i
$313$	3.00507	+	0.729023i	0.169857	+	0.0412068i	0.319785	−	0.947490i	$-0.396389\pi$
$313$	3.00507	+	0.729023i	0.169857	+	0.0412068i	−0.149929	+	0.988697i	$0.547904\pi$
$314$	4.32514	−	30.0820i	0.244082	−	1.69763i
$315$	−21.2078	+	5.67003i	−1.19492	+	0.319470i
$316$	−73.2392	−	33.4472i	−4.12002	−	1.88155i
$317$	−6.11282	−	6.41094i	−0.343330	−	0.360075i	0.529318	−	0.848423i	$-0.322448\pi$
$317$	−6.11282	−	6.41094i	−0.343330	−	0.360075i	−0.872648	+	0.488349i	$0.837599\pi$
$318$	−18.5525	+	38.2924i	−1.04037	+	2.14733i
$319$	−9.45720	−	12.0258i	−0.529501	−	0.673316i
$320$	−39.6773	+	20.4550i	−2.21803	+	1.14347i
$321$	−0.873313	−	5.16081i	−0.0487436	−	0.288048i
$322$	27.9716	−	18.9827i	1.55880	−	1.05787i
$323$		−	17.4377i		−	0.970260i
$324$	18.8870	−	41.8130i	1.04928	−	2.32294i
$325$	−1.28570	+	1.01109i	−0.0713179	+	0.0560850i
$326$	2.03433	+	1.44864i	0.112671	+	0.0802329i
$327$	−5.07376	+	6.79236i	−0.280580	+	0.375618i
$328$	−6.88427	+	15.0744i	−0.380120	+	0.832347i
$329$	11.3945	−	5.49829i	0.628201	−	0.303130i
$330$	−1.65569	−	66.6609i	−0.0911428	−	3.66956i
$331$	−3.15220	+	12.9935i	−0.173261	+	0.714190i	0.817195	+	0.576361i	$0.195528\pi$
$331$	−3.15220	+	12.9935i	−0.173261	+	0.714190i	−0.990456	+	0.137829i	$0.955987\pi$
$332$	5.29378	−	15.2954i	0.290534	−	0.839443i
$333$	2.52186	−	17.8008i	0.138197	−	0.975479i
$334$	−2.96683	−	62.2815i	−0.162338	−	3.40789i
$335$	−6.05835	+	5.24959i	−0.331003	+	0.286816i
$336$	−29.1440	−	45.5075i	−1.58994	−	2.48264i
$337$	−6.20249	−	0.891783i	−0.337871	−	0.0485785i	−0.0287087	−	0.999588i	$-0.509140\pi$
$337$	−6.20249	−	0.891783i	−0.337871	−	0.0485785i	−0.309162	+	0.951009i	$0.600049\pi$
$338$	−31.7700	+	10.9957i	−1.72806	+	0.598088i
$339$	7.61238	+	28.2929i	0.413448	+	1.53666i
$340$	15.8124	+	65.1797i	0.857549	+	3.53487i
$341$	12.2567	+	1.17037i	0.663738	+	0.0633793i
$342$	13.4792	+	26.0140i	0.728873	+	1.40668i
$343$	−18.0655	−	4.07882i	−0.975447	−	0.220236i
$344$	−78.6974			−4.24308
$345$	16.9239	−	15.5370i	0.911153	−	0.836485i
$346$	26.0379	+	45.0989i	1.39981	+	2.42453i
$347$	−11.7271	−	0.558629i	−0.629542	−	0.0299888i	−0.269614	−	0.962969i	$-0.586896\pi$
$347$	−11.7271	−	0.558629i	−0.629542	−	0.0299888i	−0.359929	+	0.932980i	$0.617199\pi$
$348$	−25.2700	−	5.46983i	−1.35461	−	0.293214i
$349$	11.7616	+	25.7543i	0.629583	+	1.37859i	0.908340	+	0.418233i	$0.137350\pi$
$349$	11.7616	+	25.7543i	0.629583	+	1.37859i	−0.278757	+	0.960362i	$0.589922\pi$
$350$	−3.14525	+	18.4091i	−0.168120	+	0.984010i
$351$	3.19886	−	0.238748i	0.170742	−	0.0127434i
$352$	73.6198	−	25.4800i	3.92395	−	1.35809i
$353$	−7.31670	−	18.2762i	−0.389428	−	0.972745i	−0.985479	−	0.169798i	$-0.945688\pi$
$353$	−7.31670	−	18.2762i	−0.389428	−	0.972745i	0.596050	−	0.802947i	$-0.296736\pi$
$354$	15.1438	−	22.4248i	0.804883	−	1.19186i
$355$	5.27872	+	27.3886i	0.280165	+	1.45364i
$356$	−27.6181	+	17.7491i	−1.46375	+	0.940698i
$357$	−20.6113	+	7.09704i	−1.09086	+	0.375615i
$358$	16.7522	+	19.3331i	0.885383	+	1.02179i
$359$	−5.37161	+	22.1421i	−0.283503	+	1.16861i	0.634781	+	0.772692i	$0.281090\pi$
$359$	−5.37161	+	22.1421i	−0.283503	+	1.16861i	−0.918284	+	0.395922i	$0.870425\pi$
$360$	−44.9517	−	51.6611i	−2.36916	−	2.72278i
$361$	5.46166	+	1.05265i	0.287456	+	0.0554026i
$362$	−5.28957	−	7.42817i	−0.278014	−	0.390416i
$363$	−3.32232	+	28.0323i	−0.174376	+	1.47131i
$364$	4.00953	−	7.29742i	0.210157	−	0.382489i
$365$	−0.891360	−	6.19955i	−0.0466559	−	0.324499i
$366$	−12.8913	−	17.1837i	−0.673837	−	0.898207i
$367$	6.81635	−	3.93542i	0.355811	−	0.205427i	−0.311431	−	0.950269i	$-0.600808\pi$
$367$	6.81635	−	3.93542i	0.355811	−	0.205427i	0.667241	+	0.744841i	$0.267475\pi$
$368$	49.0868	+	28.0877i	2.55883	+	1.46417i
$369$	−5.91729	−	1.12780i	−0.308042	−	0.0587107i
$370$	−37.1485	−	23.8739i	−1.93126	−	1.24115i
$371$	−17.2959	+	17.2056i	−0.897960	+	0.893269i
$372$	17.2201	−	11.6808i	0.892820	−	0.605623i
$373$	−11.7278	−	12.2998i	−0.607243	−	0.636858i	0.346297	−	0.938125i	$-0.387439\pi$
$373$	−11.7278	−	12.2998i	−0.607243	−	0.636858i	−0.953540	+	0.301267i	$0.902591\pi$
$374$	−6.29407	−	65.9145i	−0.325459	−	3.40836i
$375$	0.256336	−	11.2569i	0.0132371	−	0.581306i
$376$	31.0227	+	24.3965i	1.59987	+	1.25815i
$377$	−0.509279	−	1.73444i	−0.0262292	−	0.0893284i
$378$	25.2624	−	26.5199i	1.29936	−	1.36404i
$379$	−3.64982	−	5.67923i	−0.187479	−	0.291723i	0.734773	−	0.678314i	$-0.237289\pi$
$379$	−3.64982	−	5.67923i	−0.187479	−	0.291723i	−0.922251	+	0.386591i	$0.873653\pi$
$380$	51.6271	−	2.45930i	2.64841	−	0.126159i
$381$	−17.4810	−	2.92101i	−0.895577	−	0.149648i
$382$	−35.9623	+	37.7162i	−1.83999	+	1.92973i
$383$	−17.7020	−	13.9210i	−0.904529	−	0.711329i	0.0533275	−	0.998577i	$-0.483017\pi$
$383$	−17.7020	−	13.9210i	−0.904529	−	0.711329i	−0.957856	+	0.287248i	$0.907260\pi$
$384$	11.8598	−	19.5026i	0.605220	−	0.995236i
$385$	11.7365	−	36.3862i	0.598149	−	1.85441i
$386$	−7.71247	+	26.2663i	−0.392554	+	1.33692i
$387$	−6.80149	−	27.7856i	−0.345739	−	1.41242i
$388$	46.5683	+	59.2164i	2.36415	+	3.00626i
$389$	−0.501400	+	10.5257i	−0.0254220	+	0.533673i	0.949855	+	0.312689i	$0.101230\pi$
$389$	−0.501400	+	10.5257i	−0.0254220	+	0.533673i	−0.975277	+	0.220984i	$0.929073\pi$
$390$	2.74574	−	7.38490i	0.139036	−	0.373949i
$391$	15.6790	−	16.5716i	0.792922	−	0.838060i
$392$	−13.3262	−	56.2149i	−0.673075	−	2.83928i
$393$	26.4356	+	11.2881i	1.33350	+	0.569410i
$394$	−6.57921	−	2.63392i	−0.331456	−	0.132695i
$395$	−35.5827	−	25.3383i	−1.79036	−	1.27491i
$396$	43.3385	+	67.1308i	2.17784	+	3.37345i
$397$	11.8822	+	16.6862i	0.596350	+	0.837456i	0.996889	−	0.0788236i	$-0.0251164\pi$
$397$	11.8822	+	16.6862i	0.596350	+	0.837456i	−0.400539	+	0.916280i	$0.631177\pi$
$398$	21.6096	−	24.9388i	1.08319	−	1.25007i
$399$	2.36432	+	16.6314i	0.118364	+	0.832613i
$400$	−29.9789	+	8.80259i	−1.49894	+	0.440129i
$401$	−16.2004	+	3.12238i	−0.809011	+	0.155924i	−0.576952	−	0.816778i	$-0.695758\pi$
$401$	−16.2004	+	3.12238i	−0.809011	+	0.155924i	−0.232059	+	0.972702i	$0.574546\pi$
$402$	4.05926	−	12.7438i	0.202457	−	0.635604i
$403$	1.29307	+	0.666625i	0.0644125	+	0.0332070i
$404$	10.7335	+	55.6905i	0.534009	+	2.77070i
$405$	14.3549	−	20.3359i	0.713302	−	1.01050i
$406$	−17.5960	−	10.7886i	−0.873275	−	0.535431i
$407$	23.6633	+	20.5043i	1.17294	+	1.01636i
$408$	−48.1332	−	48.0339i	−2.38295	−	2.37803i
$409$	−5.47199	−	22.5558i	−0.270572	−	1.11531i	−0.931173	−	0.364577i	$-0.881214\pi$
$409$	−5.47199	−	22.5558i	−0.270572	−	1.11531i	0.660601	−	0.750737i	$-0.270302\pi$
$410$	−8.58226	+	12.0521i	−0.423847	+	0.595211i
$411$	−0.474801	+	2.19352i	−0.0234202	+	0.108199i
$412$	−1.48818	+	2.31565i	−0.0733173	+	0.114084i
$413$	12.4444	−	9.26500i	0.612349	−	0.455901i
$414$	−10.5807	+	36.8416i	−0.520011	+	1.81067i
$415$	4.39064	−	7.60481i	0.215528	−	0.373305i
$416$	9.19446	+	0.437986i	0.450796	+	0.0214740i
$417$	−20.4871	−	18.5854i	−1.00326	−	0.910130i
$418$	−50.7949	−	4.85033i	−2.48446	−	0.237237i
$419$	−28.1179	−	8.25615i	−1.37365	−	0.403339i	−0.490094	−	0.871669i	$-0.663038\pi$
$419$	−28.1179	−	8.25615i	−1.37365	−	0.403339i	−0.883554	+	0.468330i	$0.844856\pi$
$420$	−23.9188	−	60.0220i	−1.16712	−	2.92877i
$421$	1.80605	+	1.56495i	0.0880213	+	0.0762709i	0.697760	−	0.716332i	$-0.254180\pi$
$421$	1.80605	+	1.56495i	0.0880213	+	0.0762709i	−0.609739	+	0.792602i	$0.708726\pi$
$422$	−2.94953	+	3.75064i	−0.143581	+	0.182578i
$423$	−5.93247	+	13.0616i	−0.288447	+	0.635077i
$424$	−71.9173	−	24.8908i	−3.49261	−	1.20880i
$425$	0.599702	+	12.5893i	0.0290898	+	0.610671i
$426$	−31.3390	−	34.4026i	−1.51838	−	1.66681i
$427$	−3.71953	−	11.7416i	−0.180001	−	0.568217i
$428$	14.7815	−	4.34023i	0.714490	−	0.209793i
$429$	−2.67228	+	4.90595i	−0.129019	+	0.236862i
$430$	−68.9915	−	13.2970i	−3.32707	−	0.641240i
$431$	−23.0710	+	2.20302i	−1.11129	+	0.106116i	−0.634517	−	0.772909i	$-0.718801\pi$
$431$	−23.0710	+	2.20302i	−1.11129	+	0.106116i	−0.476776	+	0.879025i	$0.658195\pi$
$432$	58.4234	+	18.4767i	2.81090	+	0.888959i
$433$	−9.18116	+	4.19290i	−0.441219	+	0.201498i	−0.623622	−	0.781726i	$-0.714340\pi$
$433$	−9.18116	+	4.19290i	−0.441219	+	0.201498i	0.182403	+	0.983224i	$0.441612\pi$
$434$	16.0562	−	4.25720i	0.770720	−	0.204352i
$435$	−12.9005	−	5.50857i	−0.618533	−	0.264116i
$436$	−21.6103	−	12.4767i	−1.03494	−	0.597525i
$437$	−10.2529	−	14.2810i	−0.490465	−	0.683153i
$438$	6.66163	+	8.05121i	0.318305	+	0.384702i
$439$	−22.4444	+	11.5709i	−1.07121	+	0.552249i	−0.901293	−	0.433209i	$-0.857381\pi$
$439$	−22.4444	+	11.5709i	−1.07121	+	0.552249i	−0.169920	+	0.985458i	$0.554351\pi$
$440$	118.049	−	16.9729i	5.62777	−	0.809152i
$441$	18.6960	−	9.56349i	0.890285	−	0.455404i
$442$	2.20417	−	7.50672i	0.104842	−	0.357058i
$443$	−6.79362	+	4.83771i	−0.322774	+	0.229847i	−0.729946	−	0.683505i	$-0.760455\pi$
$443$	−6.79362	+	4.83771i	−0.322774	+	0.229847i	0.407171	+	0.913352i	$0.366515\pi$
$444$	52.9017	+	1.20465i	2.51060	+	0.0571700i
$445$	−16.5354	+	6.61979i	−0.783855	+	0.313808i
$446$	39.5344	+	9.59094i	1.87201	+	0.454144i
$447$	−18.9007	+	22.9395i	−0.893970	+	1.08500i
$448$	32.9997	−	27.1018i	1.55909	−	1.28044i
$449$	3.49442	+	5.43743i	0.164912	+	0.256608i	0.913868	−	0.406012i	$-0.133081\pi$
$449$	3.49442	+	5.43743i	0.164912	+	0.256608i	−0.748956	+	0.662620i	$0.769444\pi$
$450$	−10.6261	−	18.3175i	−0.500919	−	0.863494i
$451$	7.23955	−	7.59262i	0.340897	−	0.357523i
$452$	−80.0574	+	32.0502i	−3.76558	+	1.50751i
$453$	−22.1150	+	12.1054i	−1.03906	+	0.568761i
$454$	36.9899	+	16.8927i	1.73602	+	0.792814i
$455$	2.88528	−	3.47589i	0.135264	−	0.162952i
$456$	−43.3666	+	29.4167i	−2.03083	+	1.37756i
$457$	5.83115	−	14.5655i	0.272770	−	0.681346i	−0.727218	−	0.686407i	$-0.759187\pi$
$457$	5.83115	−	14.5655i	0.272770	−	0.681346i	0.999987	+	0.00506148i	$0.00161113\pi$
$458$	−0.888539	+	18.6527i	−0.0415187	+	0.871584i
$459$	12.7993	−	21.1457i	0.597420	−	0.986996i
$460$	51.2740	+	44.0831i	2.39066	+	2.05538i
$461$			35.0888i			1.63425i	0.576460	+	0.817125i	$0.304433\pi$
$461$			35.0888i			1.63425i	−0.576460	+	0.817125i	$0.695567\pi$
$462$	14.9401	+	62.0133i	0.695079	+	2.88512i
$463$	4.29762	+	29.8906i	0.199727	+	1.38913i	0.805075	+	0.593173i	$0.202125\pi$
$463$	4.29762	+	29.8906i	0.199727	+	1.38913i	−0.605347	+	0.795961i	$0.706966\pi$
$464$	3.28234	−	34.3742i	0.152379	−	1.59578i
$465$	10.3730	−	4.45468i	0.481038	−	0.206581i
$466$	−13.0345	+	1.24464i	−0.603811	+	0.0576569i
$467$	2.55499	+	7.38216i	0.118231	+	0.341606i	0.988552	−	0.150878i	$-0.0482102\pi$
$467$	2.55499	+	7.38216i	0.118231	+	0.341606i	−0.870321	+	0.492484i	$0.836089\pi$
$468$	1.80590	+	9.26691i	0.0834779	+	0.428363i
$469$	4.61160	−	6.12687i	0.212944	−	0.282912i
$470$	23.0745	+	26.6293i	1.06435	+	1.22832i
$471$	4.21983	+	19.3023i	0.194440	+	0.889402i
$472$	43.0169	+	22.1767i	1.98001	+	1.02077i
$473$	47.0793	+	16.2943i	2.16471	+	0.749213i
$474$	72.7006	+	5.12421i	3.33925	+	0.235363i
$475$	9.61369	+	1.38224i	0.441106	+	0.0634215i
$476$	−27.8830	−	57.7841i	−1.27801	−	2.64853i
$477$	2.57265	−	27.5429i	0.117794	−	1.26110i
$478$	17.9100	−	17.0772i	0.819185	−	0.781091i
$479$	3.36143	−	4.72046i	0.153588	−	0.215684i	−0.730612	−	0.682793i	$-0.760765\pi$
$479$	3.36143	−	4.72046i	0.153588	−	0.215684i	0.884200	+	0.467109i	$0.154705\pi$
$480$	47.9931	−	52.9039i	2.19058	−	2.41472i
$481$	1.69525	+	3.28832i	0.0772967	+	0.149935i
$482$	−26.6109			−1.21209
$483$	−12.7072	+	17.9312i	−0.578197	+	0.815898i
$484$	−83.0835			−3.77652
$485$	18.7284	+	36.3280i	0.850411	+	1.64957i
$486$	−2.74886	+	41.4394i	−0.124691	+	1.87973i
$487$	−9.15339	+	12.8541i	−0.414780	+	0.582477i	−0.968123	−	0.250477i	$-0.919413\pi$
$487$	−9.15339	+	12.8541i	−0.414780	+	0.582477i	0.553343	+	0.832954i	$0.313352\pi$
$488$	27.8067	−	26.5136i	1.25875	−	1.20022i
$489$	−1.56874	−	0.418608i	−0.0709409	−	0.0189301i
$490$	−2.18438	−	51.5335i	−0.0986803	−	2.32804i
$491$	−33.2004	−	4.77350i	−1.49831	−	0.215425i	−0.656143	−	0.754636i	$-0.727813\pi$
$491$	−33.2004	−	4.77350i	−1.49831	−	0.215425i	−0.842171	+	0.539211i	$0.818722\pi$
$492$	1.24655	−	17.6857i	0.0561990	−	0.797333i
$493$	−13.1630	−	4.55577i	−0.592834	−	0.205182i
$494$	−5.35882	−	2.76266i	−0.241105	−	0.124298i
$495$	16.1951	+	40.2126i	0.727916	+	1.80742i
$496$	18.1985	+	21.0022i	0.817137	+	0.943026i
$497$	−10.4392	−	24.5553i	−0.468261	−	1.10146i
$498$	0.363780	+	14.6464i	0.0163014	+	0.656321i
$499$	3.76561	+	10.8800i	0.168572	+	0.487057i	0.997369	−	0.0724927i	$-0.0230954\pi$
$499$	3.76561	+	10.8800i	0.168572	+	0.487057i	−0.828797	+	0.559549i	$0.810974\pi$
$500$	32.9905	−	3.15021i	1.47538	−	0.140882i
$501$	15.9957	+	37.2473i	0.714637	+	1.66408i
$502$	−3.71371	+	38.8917i	−0.165751	+	1.73582i
$503$	4.89739	+	34.0621i	0.218364	+	1.51875i	0.744078	+	0.668092i	$0.232889\pi$
$503$	4.89739	+	34.0621i	0.218364	+	1.51875i	−0.525715	+	0.850661i	$0.676202\pi$
$504$	52.4203	+	39.2867i	2.33499	+	1.74997i
$505$			30.7702i			1.36926i
$506$	−43.9108	−	50.2814i	−1.95207	−	2.23528i
$507$	16.8397	−	13.9333i	0.747876	−	0.618798i
$508$	2.48207	−	52.1051i	0.110124	−	2.31179i
$509$	3.10597	−	7.75835i	0.137670	−	0.343883i	−0.843472	−	0.537174i	$-0.819492\pi$
$509$	3.10597	−	7.75835i	0.137670	−	0.343883i	0.981141	+	0.193291i	$0.0619162\pi$
$510$	−34.0808	−	50.2425i	−1.50912	−	2.22478i
$511$	2.07910	+	5.61919i	0.0919741	+	0.248578i
$512$	−17.1177	−	7.81740i	−0.756503	−	0.345483i
$513$	−14.1341	−	12.7690i	−0.624036	−	0.563766i
$514$	−34.8492	+	13.9515i	−1.53713	+	0.615376i
$515$	−1.03056	+	1.08082i	−0.0454120	+	0.0476268i
$516$	78.8555	−	29.5044i	3.47142	−	1.29886i
$517$	−13.5074	−	21.0180i	−0.594057	−	0.924371i
$518$	39.5400	+	14.8657i	1.73729	+	0.653163i
$519$	−26.1291	−	21.5287i	−1.14694	−	0.945003i
$520$	13.6944	+	3.32224i	0.600541	+	0.145690i
$521$	10.3448	−	4.14141i	0.453212	−	0.181439i	−0.133815	−	0.991006i	$-0.542723\pi$
$521$	10.3448	−	4.14141i	0.453212	−	0.181439i	0.587027	+	0.809568i	$0.300298\pi$
$522$	23.1585	−	3.37852i	1.01362	−	0.147874i
$523$	0.0786070	−	0.0559758i	0.00343724	−	0.00244765i	−0.578337	−	0.815798i	$-0.696298\pi$
$523$	0.0786070	−	0.0559758i	0.00343724	−	0.00244765i	0.581774	+	0.813350i	$0.302359\pi$
$524$	−23.8355	+	81.1762i	−1.04126	+	3.54620i
$525$	−2.27891	−	11.9259i	−0.0994598	−	0.520488i
$526$	−21.3468	+	3.06921i	−0.930766	+	0.133824i
$527$	9.96388	−	5.13674i	0.434033	−	0.223760i
$528$	−82.2204	+	68.0298i	−3.57818	+	2.96062i
$529$	3.09701	−	22.7905i	0.134653	−	0.990893i
$530$	−58.8420	−	33.9724i	−2.55593	−	1.47567i
$531$	−4.11214	+	17.1046i	−0.178452	+	0.742275i
$532$	−47.7913	+	12.6716i	−2.07201	+	0.549383i
$533$	1.12755	−	0.514934i	0.0488395	−	0.0223043i
$534$	17.7841	−	23.8079i	0.769592	−	1.03027i
$535$	8.32021	−	0.794484i	0.359714	−	0.0343485i
$536$	23.4890	+	4.52714i	1.01457	+	0.195543i
$537$	−14.6050	−	7.95535i	−0.630251	−	0.343299i
$538$	45.1712	−	13.2635i	1.94747	−	0.571829i
$539$	−3.66713	+	36.3887i	−0.157954	+	1.56737i
$540$	64.4102	+	34.9121i	2.77177	+	1.50238i
$541$	1.61967	+	34.0011i	0.0696352	+	1.46182i	0.715629	+	0.698481i	$0.246140\pi$
$541$	1.61967	+	34.0011i	0.0696352	+	1.46182i	−0.645994	+	0.763343i	$0.723557\pi$
$542$	−64.2905	−	22.2512i	−2.76152	−	0.955770i
$543$	4.91314	+	3.31792i	0.210843	+	0.142385i
$544$	43.8454	−	55.7540i	1.87986	−	2.39043i
$545$	−10.2314	−	8.86559i	−0.438266	−	0.379760i
$546$	−1.08445	+	7.45847i	−0.0464100	+	0.319193i
$547$	0.955739	+	0.280630i	0.0408644	+	0.0119989i	0.302101	−	0.953276i	$-0.402312\pi$
$547$	0.955739	+	0.280630i	0.0408644	+	0.0119989i	−0.261236	+	0.965275i	$0.584130\pi$
$548$	−6.57569	−	0.627903i	−0.280900	−	0.0268227i
$549$	11.7643	+	7.52621i	0.502090	+	0.321211i
$550$	36.8386	+	1.75484i	1.57080	+	0.0748266i
$551$	−5.36702	+	9.29596i	−0.228643	+	0.396021i
$552$	−67.6624	−	11.0373i	−2.87990	−	0.469779i
$553$	38.3697	+	16.5499i	1.63165	+	0.703774i
$554$	14.7802	−	22.9985i	0.627951	−	0.977112i
$555$	28.0588	+	6.07348i	1.19103	+	0.257805i
$556$	47.2245	−	66.3175i	2.00277	−	2.81249i
$557$	−9.18234	−	37.8501i	−0.389068	−	1.60376i	−0.743538	−	0.668694i	$-0.766854\pi$
$557$	−9.18234	−	37.8501i	−0.389068	−	1.60376i	0.354469	−	0.935068i	$-0.384662\pi$
$558$	−10.8937	+	15.3651i	−0.461167	+	0.650457i
$559$	4.44869	+	3.85481i	0.188159	+	0.163041i
$560$	75.8448	−	41.1569i	3.20503	−	1.73920i
$561$	18.8494	+	38.7014i	0.795821	+	1.63397i
$562$	−8.31585	−	43.1467i	−0.350783	−	1.82003i
$563$	31.6463	+	16.3148i	1.33373	+	0.687586i	0.969814	−	0.243845i	$-0.0784087\pi$
$563$	31.6463	+	16.3148i	1.33373	+	0.687586i	0.363917	+	0.931431i	$0.381439\pi$
$564$	−40.2314	−	12.8148i	−1.69405	−	0.539602i
$565$	−45.9400	+	8.85420i	−1.93271	+	0.372499i
$566$	9.19484	−	2.69985i	0.386488	−	0.113483i
$567$	−9.34042	+	21.9033i	−0.392261	+	0.919854i
$568$	54.5063	−	62.9037i	2.28703	−	2.63938i
$569$	13.1396	+	18.4520i	0.550842	+	0.773550i	0.992317	−	0.123724i	$-0.0394838\pi$
$569$	13.1396	+	18.4520i	0.550842	+	0.773550i	−0.441474	+	0.897274i	$0.645544\pi$
$570$	−42.9885	+	18.4613i	−1.80059	+	0.773259i
$571$	14.1860	+	10.1018i	0.593667	+	0.422748i	0.837007	−	0.547193i	$-0.184304\pi$
$571$	14.1860	+	10.1018i	0.593667	+	0.422748i	−0.243340	+	0.969941i	$0.578243\pi$
$572$	−15.2648	−	6.11110i	−0.638253	−	0.255518i
$573$	13.3048	−	31.1585i	0.555815	−	1.30166i
$574$	5.60557	−	12.9961i	0.233972	−	0.542446i
$575$	7.89334	+	9.95768i	0.329175	+	0.415264i
$576$	−9.06533	+	47.5637i	−0.377722	+	1.98182i
$577$	1.17131	−	24.5889i	0.0487624	−	1.02365i	−0.833391	−	0.552685i	$-0.813603\pi$
$577$	1.17131	−	24.5889i	0.0487624	−	1.02365i	0.882153	−	0.470963i	$-0.156094\pi$
$578$	−9.26903	−	11.7865i	−0.385541	−	0.490255i
$579$	−1.28797	−	17.7506i	−0.0535262	−	0.737690i
$580$	11.6317	−	39.6138i	0.482978	−	1.64487i
$581$	−2.57869	+	7.99460i	−0.106982	+	0.331672i
$582$	−58.2636	−	35.4311i	−2.41510	−	1.46866i
$583$	37.8696	+	29.7810i	1.56840	+	1.23340i
$584$	−12.8976	+	13.5267i	−0.533708	+	0.559737i
$585$	0.0105771	+	5.12221i	0.000437310	+	0.211777i
$586$	2.74639	−	0.130827i	0.113452	−	0.00540441i
$587$	−2.45489	−	3.81988i	−0.101324	−	0.157663i	0.786890	−	0.617093i	$-0.211690\pi$
$587$	−2.45489	−	3.81988i	−0.101324	−	0.157663i	−0.888214	+	0.459430i	$0.848054\pi$
$588$	34.4285	+	51.3317i	1.41981	+	2.11688i
$589$	−2.43379	−	8.28873i	−0.100283	−	0.341531i
$590$	33.9645	+	26.7100i	1.39830	+	1.09963i
$591$	4.60615	+	0.104889i	0.189472	+	0.00431454i
$592$	6.71766	+	70.3505i	0.276094	+	2.89139i
$593$	24.0901	+	25.2650i	0.989261	+	1.03751i	0.999294	+	0.0375577i	$0.0119578\pi$
$593$	24.0901	+	25.2650i	0.989261	+	1.03751i	−0.0100332	+	0.999950i	$0.503194\pi$
$594$	−58.0358	−	43.1652i	−2.38124	−	1.77109i
$595$	−8.92115	−	33.6464i	−0.365731	−	1.37937i
$596$	−73.5947	−	47.2965i	−3.01456	−	1.93734i
$597$	−7.47642	+	20.1084i	−0.305989	+	0.822983i
$598$	−2.60861	−	7.44379i	−0.106674	−	0.304399i
$599$	5.08552	−	2.93613i	0.207789	−	0.119967i	−0.392495	−	0.919754i	$-0.628388\pi$
$599$	5.08552	−	2.93613i	0.207789	−	0.119967i	0.600283	+	0.799787i	$0.295054\pi$
$600$	30.2972	−	22.7291i	1.23688	−	0.927910i
$601$	1.32725	+	9.23123i	0.0541396	+	0.376550i	0.998820	+	0.0485581i	$0.0154626\pi$
$601$	1.32725	+	9.23123i	0.0541396	+	0.376550i	−0.944681	+	0.327991i	$0.893628\pi$
$602$	67.1970	−	1.42352i	2.73875	−	0.0580184i
$603$	0.431669	+	8.68450i	0.0175789	+	0.353660i
$604$	−43.0423	−	60.4444i	−1.75136	−	2.45945i
$605$	−44.2613	−	8.53066i	−1.79948	−	0.346821i
$606$	−26.7649	−	43.8088i	−1.08725	−	1.77961i
$607$	5.39893	−	22.2547i	0.219136	−	0.903290i	−0.750917	−	0.660396i	$-0.770388\pi$
$607$	5.39893	−	22.2547i	0.219136	−	0.903290i	0.970053	−	0.242894i	$-0.0780966\pi$
$608$	−35.7942	−	41.3087i	−1.45165	−	1.67529i
$609$	13.1721	+	2.56039i	0.533761	+	0.103752i
$610$	28.8571	−	18.5453i	1.16839	−	0.750879i
$611$	−0.558675	−	2.89868i	−0.0226016	−	0.117268i
$612$	66.2382	+	30.0848i	2.67752	+	1.21611i
$613$	4.62824	+	11.5608i	0.186933	+	0.466935i	0.991998	−	0.126250i	$-0.0402943\pi$
$613$	4.62824	+	11.5608i	0.186933	+	0.466935i	−0.805066	+	0.593186i	$0.797870\pi$
$614$	−28.6817	+	9.92682i	−1.15750	+	0.400614i
$615$	2.47997	−	9.29376i	0.100002	−	0.374761i
$616$	−106.998	+	39.5894i	−4.31108	+	1.59510i
$617$	13.5562	+	29.6840i	0.545753	+	1.19503i	0.958737	+	0.284294i	$0.0917593\pi$
$617$	13.5562	+	29.6840i	0.545753	+	1.19503i	−0.412984	+	0.910738i	$0.635513\pi$
$618$	0.527119	−	2.43523i	0.0212038	−	0.0979593i
$619$	−43.8585	−	2.08924i	−1.76282	−	0.0839735i	−0.859024	−	0.511935i	$-0.828929\pi$
$619$	−43.8585	−	2.08924i	−1.76282	−	0.0839735i	−0.903797	+	0.427962i	$0.859232\pi$
$620$	16.6134	+	28.7752i	0.667208	+	1.15564i
$621$	−1.95086	−	24.8434i	−0.0782854	−	0.996931i
$622$	50.8869			2.04038
$623$	14.1353	−	9.51314i	0.566317	−	0.381136i
$624$	−12.0064	+	3.85170i	−0.480641	+	0.154192i
$625$	31.0862	+	2.96838i	1.24345	+	0.118735i
$626$	−1.94225	−	8.00606i	−0.0776279	−	0.319986i
$627$	32.0340	−	8.61895i	1.27932	−	0.344208i
$628$	−54.9549	+	19.0201i	−2.19294	+	0.758983i
$629$	28.2173	+	4.05704i	1.12510	+	0.161765i
$630$	39.3172	+	43.2985i	1.56643	+	1.72505i
$631$	9.01549	−	7.81197i	0.358901	−	0.310989i	−0.456682	−	0.889630i	$-0.650962\pi$
$631$	9.01549	−	7.81197i	0.358901	−	0.310989i	0.815583	+	0.578641i	$0.196417\pi$
$632$	6.20236	+	130.204i	0.246717	+	5.17922i
$633$	0.941484	−	2.95574i	0.0374206	−	0.117480i
$634$	−7.71871	+	22.3017i	−0.306549	+	0.885716i
$635$	6.67222	−	27.5033i	0.264779	−	1.09143i
$636$	81.3936	−	2.02161i	3.22746	−	0.0801622i
$637$	−2.00024	+	3.83053i	−0.0792523	+	0.151771i
$638$	−16.9320	+	37.0759i	−0.670344	+	1.46785i
$639$	26.9201	+	13.8080i	1.06494	+	0.546235i
$640$	29.6900	+	21.1421i	1.17360	+	0.835716i
$641$	−13.1925	+	10.3747i	−0.521071	+	0.409775i	−0.843752	−	0.536733i	$-0.819658\pi$
$641$	−13.1925	+	10.3747i	−0.521071	+	0.409775i	0.322681	+	0.946508i	$0.395416\pi$
$642$	−11.1548	+	8.36833i	−0.440243	+	0.330272i
$643$		−	17.0426i		−	0.672093i	−0.941845	−	0.336047i	$-0.890910\pi$
$643$		−	17.0426i		−	0.672093i	0.941845	−	0.336047i	$-0.109090\pi$
$644$	−56.8110	−	30.9291i	−2.23867	−	1.21878i
$645$	45.0383	−	7.62139i	1.77338	−	0.300092i
$646$	−41.2928	+	21.2879i	−1.62464	+	0.837563i
$647$	−0.201432	−	0.256142i	−0.00791912	−	0.0100700i	0.782077	−	0.623181i	$-0.214160\pi$
$647$	−0.201432	−	0.256142i	−0.00791912	−	0.0100700i	−0.789997	+	0.613111i	$0.789918\pi$
$648$	−74.1800	+	3.84074i	−2.91407	+	0.150879i
$649$	−21.1424	−	22.1735i	−0.829911	−	0.870386i
$650$	3.96385	+	1.81023i	0.155475	+	0.0710031i
$651$	−8.80670	+	6.25019i	−0.345162	+	0.244964i
$652$	0.680088	−	4.73012i	0.0266343	−	0.185246i
$653$	−40.6011	−	9.84971i	−1.58884	−	0.385449i	−0.658629	−	0.752468i	$-0.728863\pi$
$653$	−40.6011	−	9.84971i	−1.58884	−	0.385449i	−0.930214	+	0.367019i	$0.880379\pi$
$654$	22.2785	+	3.72266i	0.871158	+	0.145568i
$655$	−21.0328	+	40.7979i	−0.821818	+	1.59411i
$656$	23.6517	−	1.12667i	0.923444	−	0.0439890i
$657$	−5.89053	−	3.38470i	−0.229811	−	0.132050i
$658$	−26.9305	−	20.2702i	−1.04986	−	0.790214i
$659$	1.03122	−	7.17230i	0.0401706	−	0.279393i	−0.959829	−	0.280587i	$-0.909471\pi$
$659$	1.03122	−	7.17230i	0.0401706	−	0.279393i	0.999999	+	0.00119386i	$0.000380018\pi$
$660$	−111.923	+	61.2647i	−4.35660	+	2.38473i
$661$	−2.35615	−	24.6747i	−0.0916435	−	0.959734i	−0.917998	−	0.396584i	$-0.870195\pi$
$661$	−2.35615	−	24.6747i	−0.0916435	−	0.959734i	0.826355	−	0.563150i	$-0.190411\pi$
$662$	34.6172	−	8.39803i	1.34543	−	0.326399i
$663$	0.368093	+	5.07300i	0.0142955	+	0.197019i
$664$	−25.9372	+	3.72920i	−1.00656	+	0.144721i
$665$	−26.7610	+	1.84356i	−1.03775	+	0.0714901i
$666$	−45.2313	+	15.7594i	−1.75268	+	0.610664i
$667$	−13.4589	+	4.00849i	−0.521129	+	0.155209i
$668$	−103.325	+	59.6548i	−3.99777	+	2.30811i
$669$	−26.2575	+	3.16697i	−1.01517	+	0.122442i
$670$	19.8272	+	7.93760i	0.765990	+	0.306656i
$671$	−22.1245	+	10.1039i	−0.854107	+	0.390058i
$672$	−34.2586	+	59.1209i	−1.32155	+	2.28064i
$673$	−5.05630	+	11.0717i	−0.194906	+	0.426784i	−0.981701	−	0.190430i	$-0.939012\pi$
$673$	−5.05630	+	11.0717i	−0.194906	+	0.426784i	0.786795	+	0.617215i	$0.211739\pi$
$674$	5.46023	+	15.7763i	0.210320	+	0.607680i
$675$	10.6434	+	8.73262i	0.409664	+	0.336119i
$676$	46.5574	+	44.3924i	1.79067	+	1.70740i
$677$	−17.6631	+	3.40429i	−0.678850	+	0.130838i	−0.517010	−	0.855979i	$-0.672955\pi$
$677$	−17.6631	+	3.40429i	−0.678850	+	0.130838i	−0.161840	+	0.986817i	$0.551743\pi$
$678$	57.7049	−	52.5662i	2.21614	−	2.01879i
$679$	−24.8141	−	30.2141i	−0.952277	−	1.15951i
$680$	82.0627	−	71.1078i	3.14696	−	2.72686i
$681$	−26.3717	−	1.85878i	−1.01057	−	0.0712284i
$682$	−12.1915	−	30.4529i	−0.466837	−	1.16610i
$683$	4.60218	−	23.8784i	0.176097	−	0.913680i	−0.781136	−	0.624362i	$-0.785359\pi$
$683$	4.60218	−	23.8784i	0.176097	−	0.913680i	0.957233	−	0.289318i	$-0.0934287\pi$
$684$	32.4252	−	45.7343i	1.23981	−	1.74870i
$685$	−3.43862	−	1.00967i	−0.131383	−	0.0385775i
$686$	12.3956	+	47.7589i	0.473268	+	1.82344i
$687$	−3.70851	−	11.5601i	−0.141489	−	0.441044i
$688$	51.5252	+	99.9449i	1.96438	+	3.81036i
$689$	2.84620	+	4.92976i	0.108431	+	0.187809i
$690$	−57.4526	−	21.1086i	−2.18718	−	0.803589i
$691$	14.6566	−	25.3860i	0.557564	−	0.965730i	−0.440135	−	0.897932i	$-0.645069\pi$
$691$	14.6566	−	25.3860i	0.557564	−	0.965730i	0.997699	−	0.0677980i	$-0.0215973\pi$
$692$	53.8727	−	83.8275i	2.04793	−	3.18665i
$693$	−23.2252	−	34.3562i	−0.882252	−	1.30508i
$694$	12.9935	+	28.4519i	0.493228	+	1.08002i
$695$	31.9672	−	30.4807i	1.21259	−	1.15620i
$696$	10.8756	+	40.4212i	0.412237	+	1.53216i
$697$	1.80765	−	9.37896i	0.0684695	−	0.355254i
$698$	46.6281	−	59.2924i	1.76490	−	2.24425i
$699$	7.65313	−	3.72743i	0.289468	−	0.140984i
$700$	34.0675	−	10.7919i	1.28763	−	0.407897i
$701$	7.59921	−	4.88372i	0.287018	−	0.184455i	−0.389207	−	0.921150i	$-0.627251\pi$
$701$	7.59921	−	4.88372i	0.287018	−	0.184455i	0.676225	+	0.736695i	$0.263615\pi$
$702$	−4.47052	−	7.28349i	−0.168729	−	0.274898i
$703$	7.18516	−	20.7601i	0.270993	−	0.782984i
$704$	−61.0302	−	58.1922i	−2.30016	−	2.19320i
$705$	−20.1168	−	10.9577i	−0.757644	−	0.412690i
$706$	−34.3462	+	39.6377i	−1.29264	+	1.49178i
$707$	−6.18148	−	28.7785i	−0.232479	−	1.08233i
$708$	−51.4176	−	6.09388i	−1.93239	−	0.229022i
$709$	−1.58426	+	16.5912i	−0.0594983	+	0.623094i	0.915715	+	0.401828i	$0.131625\pi$
$709$	−1.58426	+	16.5912i	−0.0594983	+	0.623094i	−0.975213	+	0.221266i	$0.928981\pi$
$710$	58.4124	−	45.9360i	2.19218	−	1.72395i
$711$	−45.4348	+	13.4428i	−1.70394	+	0.504145i
$712$	46.0293	+	26.5750i	1.72502	+	0.995942i
$713$	5.13987	−	10.0654i	0.192489	−	0.376951i
$714$	41.9681	+	40.1438i	1.57062	+	1.50234i
$715$	−7.50459	−	4.82290i	−0.280656	−	0.180366i
$716$	18.1927	−	45.4431i	0.679892	−	1.69829i
$717$	−7.01480	+	14.4786i	−0.261973	+	0.540713i
$718$	58.9905	−	14.3109i	2.20151	−	0.534079i
$719$	−17.4618	+	12.4345i	−0.651215	+	0.463728i	−0.857308	−	0.514804i	$-0.827865\pi$
$719$	−17.4618	+	12.4345i	−0.651215	+	0.463728i	0.206093	+	0.978532i	$0.433925\pi$
$720$	−36.1780	+	90.9120i	−1.34828	+	3.38809i
$721$	0.746727	−	1.21789i	0.0278096	−	0.0453568i
$722$	−4.17490	−	14.2184i	−0.155374	−	0.529154i
$723$	16.2034	−	6.06261i	0.602610	−	0.225471i
$724$	−7.99567	+	15.5094i	−0.297157	+	0.576403i
$725$	3.55507	−	6.89587i	0.132032	−	0.256106i
$726$	70.4368	−	26.3545i	2.61416	−	0.978105i
$727$	−1.06705	−	3.63405i	−0.0395748	−	0.134779i	0.937336	−	0.348427i	$-0.113284\pi$
$727$	−1.06705	−	3.63405i	−0.0395748	−	0.134779i	−0.976911	+	0.213647i	$0.931466\pi$
$728$	−13.4754	−	0.356087i	−0.499432	−	0.0131975i
$729$	−7.76712	−	25.8587i	−0.287671	−	0.957729i
$730$	−13.5925	+	9.67915i	−0.503080	+	0.358242i
$731$	44.0800	−	10.6937i	1.63036	−	0.395521i
$732$	−17.9224	+	36.9919i	−0.662430	+	1.36726i
$733$	−9.80276	+	24.4861i	−0.362073	+	0.904415i	0.629750	+	0.776798i	$0.283157\pi$
$733$	−9.80276	+	24.4861i	−0.362073	+	0.904415i	−0.991823	+	0.127618i	$0.959267\pi$
$734$	−17.6405	−	11.3369i	−0.651124	−	0.418452i
$735$	13.0706	+	30.8810i	0.482118	+	1.13906i
$736$	3.12622	−	71.4410i	0.115234	−	2.63335i
$737$	−13.1145	−	7.57168i	−0.483080	−	0.278907i
$738$	4.55318	+	15.3891i	0.167605	+	0.566479i
$739$	7.84111	−	6.16632i	0.288440	−	0.226832i	−0.463446	−	0.886125i	$-0.653387\pi$
$739$	7.84111	−	6.16632i	0.288440	−	0.226832i	0.751885	+	0.659294i	$0.229145\pi$
$740$	−8.03191	+	84.1140i	−0.295259	+	3.09209i
$741$	3.89238	+	0.461316i	0.142990	+	0.0169469i
$742$	61.8579	+	19.9525i	2.27088	+	0.732481i
$743$	−18.0179	+	20.7937i	−0.661011	+	0.762847i	−0.982942	−	0.183916i	$-0.941123\pi$
$743$	−18.0179	+	20.7937i	−0.661011	+	0.762847i	0.321931	+	0.946763i	$0.395668\pi$
$744$	−29.5834	−	16.1141i	−1.08458	−	0.590773i
$745$	−34.3501	−	32.7528i	−1.25849	−	1.19997i
$746$	−14.8088	+	42.7872i	−0.542189	+	1.56655i
$747$	−3.55831	−	8.83531i	−0.130192	−	0.323267i
$748$	−106.587	+	68.4991i	−3.89720	+	2.50458i
$749$	−7.62205	+	2.41452i	−0.278504	+	0.0882247i
$750$	−26.9696	+	13.1354i	−0.984790	+	0.479639i
$751$	−17.6318	+	22.4206i	−0.643393	+	0.818141i	−0.992920	−	0.118785i	$-0.962100\pi$
$751$	−17.6318	+	22.4206i	−0.643393	+	0.818141i	0.349527	+	0.936926i	$0.386342\pi$
$752$	10.6720	−	55.3715i	0.389167	−	2.01919i
$753$	−6.59920	−	24.5272i	−0.240488	−	0.893822i
$754$	−3.48547	+	3.32339i	−0.126933	+	0.121031i
$755$	−16.7238	−	36.6201i	−0.608643	−	1.33274i
$756$	−67.2546	−	19.7128i	−2.44602	−	0.716946i
$757$	20.8806	−	32.4909i	0.758918	−	1.18090i	−0.219770	−	0.975552i	$-0.570531\pi$
$757$	20.8806	−	32.4909i	0.758918	−	1.18090i	0.978689	−	0.205349i	$-0.0658328\pi$
$758$	−8.99283	+	15.5760i	−0.326634	+	0.565747i
$759$	38.1926	+	20.6124i	1.38630	+	0.748182i
$760$	−41.8386	−	72.4666i	−1.51765	−	2.62864i
$761$	5.05028	+	9.79618i	0.183073	+	0.355111i	0.962457	−	0.271435i	$-0.0874982\pi$
$761$	5.05028	+	9.79618i	0.183073	+	0.355111i	−0.779384	+	0.626546i	$0.784468\pi$
$762$	14.4237	+	44.9612i	0.522516	+	1.62877i
$763$	11.3502	+	6.23631i	0.410904	+	0.225770i
$764$	95.6786	+	28.0938i	3.46153	+	1.01640i
$765$	32.1983	+	22.8282i	1.16413	+	0.825356i
$766$	−11.3546	+	58.9133i	−0.410259	+	2.12863i
$767$	−1.34543	−	3.36071i	−0.0485805	−	0.121348i
$768$	−4.88878	−	0.344579i	−0.176409	−	0.0124339i
$769$	16.7535	−	14.5170i	0.604148	−	0.523497i	−0.298201	−	0.954503i	$-0.596387\pi$
$769$	16.7535	−	14.5170i	0.604148	−	0.523497i	0.902349	+	0.431006i	$0.141841\pi$
$770$	−100.491	+	16.6279i	−3.62145	+	0.599229i
$771$	18.0412	−	16.4346i	0.649738	−	0.591877i
$772$	51.4352	−	9.91333i	1.85119	−	0.356788i
$773$	−8.64820	−	8.24604i	−0.311054	−	0.296589i	0.518430	−	0.855120i	$-0.326517\pi$
$773$	−8.64820	−	8.24604i	−0.311054	−	0.296589i	−0.829484	+	0.558531i	$0.811365\pi$
$774$	−57.4935	+	50.0266i	−2.06656	+	1.79817i
$775$	2.04216	+	5.90042i	0.0733564	+	0.211949i
$776$	50.6653	−	110.941i	1.81878	−	3.98257i
$777$	−27.4627	−	0.0435652i	−0.985218	−	0.00156289i
$778$	25.5371	−	11.6624i	0.915550	−	0.418118i
$779$	−6.83336	−	2.73567i	−0.244831	−	0.0980154i
$780$	−14.9675	+	1.80526i	−0.535922	+	0.0646387i
$781$	−45.6316	+	26.3454i	−1.63283	+	0.942714i
$782$	−58.3827	−	16.8977i	−2.08776	−	0.604260i
$783$	−13.3315	+	7.33325i	−0.476429	+	0.262069i
$784$	−62.6673	+	53.7295i	−2.23812	+	1.91891i
$785$	−31.2292	+	4.49007i	−1.11462	+	0.160258i
$786$	−5.54212	−	76.3806i	−0.197681	−	2.72441i
$787$	−46.6510	+	11.3174i	−1.66293	+	0.403422i	−0.953509	−	0.301365i	$-0.902558\pi$
$787$	−46.6510	+	11.3174i	−1.66293	+	0.403422i	−0.709419	+	0.704787i	$0.751043\pi$
$788$	1.28901	+	13.4992i	0.0459192	+	0.480888i
$789$	12.2988	−	6.73217i	0.437850	−	0.239672i
$790$	−16.5623	+	115.193i	−0.589261	+	4.09840i
$791$	41.1876	−	17.5101i	1.46446	−	0.622586i
$792$	64.4500	−	112.165i	2.29013	−	3.98561i
$793$	−2.87059	+	0.136743i	−0.101938	+	0.00485590i
$794$	25.0075	−	48.5077i	0.887482	−	1.72147i
$795$	43.5686	+	7.28017i	1.54522	+	0.258201i
$796$	−61.3627	−	14.8864i	−2.17494	−	0.527635i
$797$	−0.683562	+	4.75428i	−0.0242130	+	0.168405i	−0.998340	−	0.0575964i	$-0.981656\pi$
$797$	−0.683562	+	4.75428i	−0.0242130	+	0.168405i	0.974127	+	0.226002i	$0.0725654\pi$
$798$	36.4972	−	25.9024i	1.29199	−	0.916934i
$799$	−20.6915	−	9.44950i	−0.732013	−	0.334299i
$800$	27.2626	+	28.5922i	0.963877	+	1.01089i
$801$	−5.40469	+	18.5483i	−0.190965	+	0.655371i
$802$	27.1713	+	34.5511i	0.959452	+	1.22004i
$803$	10.5165	−	5.42162i	0.371118	−	0.191325i
$804$	−25.2335	+	4.27001i	−0.889916	+	0.150592i
$805$	−27.0894	−	22.3100i	−0.954776	−	0.786326i
$806$		−	3.87583i		−	0.136520i
$807$	−24.4830	+	18.3672i	−0.861843	+	0.646557i
$808$	72.1756	−	56.7595i	2.53913	−	1.99679i
$809$	28.9056	+	20.5836i	1.01627	+	0.723679i	0.961496	−	0.274820i	$-0.0886182\pi$
$809$	28.9056	+	20.5836i	1.01627	+	0.723679i	0.0547696	+	0.998499i	$0.482558\pi$
$810$	−65.6802	−	9.16669i	−2.30777	−	0.322085i
$811$	−3.36021	+	7.35783i	−0.117993	+	0.258368i	−0.959408	−	0.282020i	$-0.908995\pi$
$811$	−3.36021	+	7.35783i	−0.117993	+	0.258368i	0.841416	+	0.540389i	$0.181723\pi$
$812$	−2.92066	+	39.3863i	−0.102495	+	1.38219i
$813$	44.2158	−	1.09821i	1.55072	−	0.0385160i
$814$	19.6666	−	81.0667i	0.689313	−	2.84139i
$815$	0.847974	−	2.45006i	0.0297032	−	0.0858218i
$816$	−29.4885	+	92.5776i	−1.03231	+	3.24086i
$817$	−1.66319	−	34.9146i	−0.0581875	−	1.22151i
$818$	−46.7325	+	40.4939i	−1.63396	+	1.41584i
$819$	−1.03890	−	4.78852i	−0.0363022	−	0.167325i
$820$	28.0228	+	4.02908i	0.978600	+	0.140701i
$821$	18.9911	−	6.57288i	0.662794	−	0.229395i	0.0250997	−	0.999685i	$-0.492010\pi$
$821$	18.9911	−	6.57288i	0.662794	−	0.229395i	0.637694	+	0.770290i	$0.279888\pi$
$822$	5.77394	−	1.55351i	0.201389	−	0.0541850i
$823$	−7.81192	−	32.2012i	−0.272306	−	1.12246i	−0.929524	−	0.368761i	$-0.879782\pi$
$823$	−7.81192	−	32.2012i	−0.272306	−	1.12246i	0.657218	−	0.753701i	$-0.271733\pi$
$824$	4.43622	+	0.423608i	0.154543	+	0.0147571i
$825$	−22.8308	+	7.32421i	−0.794867	+	0.254996i
$826$	−37.1318	−	18.1579i	−1.29198	−	0.631793i
$827$	−12.6983			−0.441564			−0.220782	−	0.975323i	$-0.570861\pi$
$827$	−12.6983			−0.441564			−0.220782	+	0.975323i	$0.570861\pi$
$828$	71.9364	−	14.3078i	2.49996	−	0.497230i
$829$	5.08824	+	8.81308i	0.176722	+	0.306091i	0.940756	−	0.339085i	$-0.110117\pi$
$829$	5.08824	+	8.81308i	0.176722	+	0.306091i	−0.764034	+	0.645176i	$0.776784\pi$
$830$	−23.3684	−	1.11317i	−0.811129	−	0.0386389i
$831$	−3.76006	+	17.3711i	−0.130435	+	0.602595i
$832$	−4.13909	−	9.06333i	−0.143497	−	0.314215i
$833$	15.1030	+	29.6763i	0.523287	+	1.02822i
$834$	−19.0000	+	71.2028i	−0.657915	+	2.46555i
$835$	−61.1698	+	21.1711i	−2.11687	+	0.732655i
$836$	36.2881	+	90.6433i	1.25505	+	3.13496i
$837$	3.13262	−	11.8377i	0.108279	−	0.409169i
$838$	14.7755	+	76.6627i	0.510412	+	2.64827i
$839$	40.4626	−	26.0037i	1.39692	−	0.897748i	0.397124	−	0.917765i	$-0.370008\pi$
$839$	40.4626	−	26.0037i	1.39692	−	0.897748i	0.999800	+	0.0200166i	$0.00637189\pi$
$840$	−68.6271	+	78.9465i	−2.36786	+	2.72391i
$841$	−13.3760	−	15.4367i	−0.461241	−	0.532301i
$842$	1.50101	−	6.18724i	0.0517281	−	0.213226i
$843$	14.8934	+	24.3775i	0.512955	+	0.839604i
$844$	8.96515	+	1.72789i	0.308593	+	0.0594765i
$845$	20.2446	+	28.4296i	0.696436	+	0.978007i
$846$	38.1725	−	1.89739i	1.31240	−	0.0652337i
$847$	43.1100	−	0.913255i	1.48128	−	0.0313798i
$848$	15.4750	+	107.631i	0.531413	+	3.69606i
$849$	−4.98364	+	3.73874i	−0.171038	+	0.128313i
$850$	29.0796	−	16.7891i	0.997422	−	0.575862i
$851$	25.4946	−	13.2685i	0.873945	−	0.454838i
$852$	−31.0327	+	83.4650i	−1.06316	+	2.85946i
$853$	32.5164	+	20.8970i	1.11334	+	0.715501i	0.962019	−	0.272983i	$-0.0880104\pi$
$853$	32.5164	+	20.8970i	1.11334	+	0.715501i	0.151323	+	0.988484i	$0.451647\pi$
$854$	−23.2636	+	23.1421i	−0.796064	+	0.791905i
$855$	21.9698	−	21.0349i	0.751350	−	0.719378i
$856$	−17.2113	−	18.0506i	−0.588269	−	0.616958i
$857$	−1.00911	−	10.5679i	−0.0344706	−	0.360993i	−0.996207	−	0.0870158i	$-0.972267\pi$
$857$	−1.00911	−	10.5679i	−0.0344706	−	0.360993i	0.961736	−	0.273977i	$-0.0883391\pi$
$858$	14.8797	+	0.338832i	0.507985	+	0.0115675i
$859$	−36.5857	−	28.7713i	−1.24829	−	0.981664i	−0.999916	−	0.0129992i	$-0.995862\pi$
$859$	−36.5857	−	28.7713i	−1.24829	−	0.981664i	−0.248372	−	0.968665i	$-0.579895\pi$
$860$	37.8771	+	128.998i	1.29160	+	4.39878i
$861$	−0.452406	+	9.19039i	−0.0154179	+	0.313208i
$862$	33.3819	+	51.9432i	1.13699	+	1.76919i
$863$	−15.4977	+	0.738247i	−0.527548	+	0.0251302i	−0.309667	−	0.950845i	$-0.600218\pi$
$863$	−15.4977	+	0.738247i	−0.527548	+	0.0251302i	−0.217881	+	0.975975i	$0.569915\pi$
$864$	−13.0849	−	76.3656i	−0.445156	−	2.59801i
$865$	37.3068	−	39.1262i	1.26847	−	1.33033i
$866$	21.1372	+	16.6225i	0.718272	+	0.564855i
$867$	8.32916	+	5.06510i	0.282873	+	0.172020i
$868$	−21.3187	−	23.5751i	−0.723603	−	0.800191i
$869$	23.2482	−	79.1762i	0.788642	−	2.68587i
$870$	2.70454	+	37.2735i	0.0916925	+	1.26369i
$871$	−1.10606	−	1.40647i	−0.0374774	−	0.0476564i
$872$	−1.92225	+	40.3529i	−0.0650954	+	1.36652i
$873$	43.5487	+	8.30010i	1.47390	+	0.280916i
$874$	−21.3009	+	41.7134i	−0.720514	+	1.41098i
$875$	−17.0834	+	1.99720i	−0.577523	+	0.0675178i
$876$	7.85229	−	18.3893i	0.265304	−	0.621316i
$877$	0.158233	+	0.0633470i	0.00534316	+	0.00213908i	0.374332	−	0.927295i	$-0.377872\pi$
$877$	0.158233	+	0.0633470i	0.00534316	+	0.00213908i	−0.368989	+	0.929434i	$0.620296\pi$
$878$	54.8002	+	39.0231i	1.84942	+	1.31696i
$879$	−1.64247	+	0.705355i	−0.0553992	+	0.0237910i
$880$	−98.8452	−	138.809i	−3.33207	−	4.67924i
$881$	33.8819	−	39.1018i	1.14151	−	1.31737i	0.200231	−	0.979749i	$-0.435831\pi$
$881$	33.8819	−	39.1018i	1.14151	−	1.31737i	0.941280	−	0.337626i	$-0.109624\pi$
$882$	−45.4705	−	32.5973i	−1.53107	−	1.09761i
$883$	17.5042	−	5.13969i	0.589063	−	0.172964i	0.0264007	−	0.999651i	$-0.491595\pi$
$883$	17.5042	−	5.13969i	0.589063	−	0.172964i	0.562662	+	0.826687i	$0.309777\pi$
$884$	−14.6998	+	2.83316i	−0.494409	+	0.0952895i
$885$	−26.7661	−	8.52575i	−0.899734	−	0.286590i
$886$	19.7494	+	10.1815i	0.663495	+	0.342055i
$887$	−6.84647	−	35.5228i	−0.229882	−	1.19274i	−0.895022	−	0.446022i	$-0.852840\pi$
$887$	−6.84647	−	35.5228i	−0.229882	−	1.19274i	0.665140	−	0.746718i	$-0.268372\pi$
$888$	−37.5118	−	77.0189i	−1.25881	−	2.58459i
$889$	−0.715148	+	27.0634i	−0.0239853	+	0.907677i
$890$	35.8622	+	31.0748i	1.20210	+	1.04163i
$891$	45.1721	+	13.0613i	1.51332	+	0.437571i
$892$	−18.3521	−	75.6484i	−0.614474	−	2.53289i
$893$	−10.1680	+	14.2790i	−0.340260	+	0.477828i
$894$	77.3951	+	16.7526i	2.58848	+	0.560291i
$895$	14.3577	−	22.3411i	0.479926	−	0.746780i
$896$	−32.0154	−	13.8091i	−1.06956	−	0.461331i
$897$	3.28426	+	3.93822i	0.109658	+	0.131493i
$898$	8.60995	−	14.9129i	0.287318	−	0.497649i
$899$	−6.89269	−	0.328339i	−0.229884	−	0.0109507i
$900$	−21.8368	+	34.1334i	−0.727892	+	1.13778i
$901$	43.6646	+	4.16946i	1.45468	+	0.138905i
$902$	−26.8175	−	7.87433i	−0.892926	−	0.262187i
$903$	−40.5919	+	16.1759i	−1.35081	+	0.538300i
$904$	105.511	+	91.4257i	3.50924	+	3.04077i
$905$	−5.85199	+	7.44142i	−0.194527	+	0.247361i
$906$	55.6638	+	37.5906i	1.84931	+	1.24886i
$907$	−19.3915	−	6.71147i	−0.643885	−	0.222851i	−0.0144400	−	0.999896i	$-0.504597\pi$
$907$	−19.3915	−	6.71147i	−0.643885	−	0.222851i	−0.629445	+	0.777045i	$0.716718\pi$
$908$	−3.70240	−	77.7230i	−0.122868	−	2.57933i
$909$	26.2778	+	20.5774i	0.871581	+	0.682511i
$910$	−11.7533	−	2.58903i	−0.389619	−	0.0858256i
$911$	0.928358	−	0.272591i	0.0307579	−	0.00903133i	−0.266317	−	0.963885i	$-0.585807\pi$
$911$	0.928358	−	0.272591i	0.0307579	−	0.00903133i	0.297075	+	0.954854i	$0.403989\pi$
$912$	65.7521	+	35.8153i	2.17727	+	1.18596i
$913$	16.2886	+	3.13937i	0.539073	+	0.103898i
$914$	−41.6100	+	3.97328i	−1.37634	+	0.131424i
$915$	−13.3460	+	17.8666i	−0.441205	+	0.590651i
$916$	32.5031	−	14.8437i	1.07393	−	0.490448i
$917$	11.4754	−	42.3824i	0.378950	−	1.39959i
$918$	−65.6987	−	4.49437i	−2.16838	−	0.148336i
$919$	21.9902	+	12.6960i	0.725389	+	0.418804i	0.816733	−	0.577016i	$-0.195783\pi$
$919$	21.9902	+	12.6960i	0.725389	+	0.418804i	−0.0913436	+	0.995819i	$0.529116\pi$
$920$	25.3975	−	106.486i	0.837331	−	3.51074i
$921$	15.2027	−	12.5788i	0.500945	−	0.414486i
$922$	83.0910	−	42.8364i	2.73646	−	1.41074i
$923$	−6.16238	+	0.886017i	−0.202837	+	0.0291636i
$924$	92.3708	−	79.7836i	3.03878	−	2.62469i
$925$	−4.47342	+	15.2351i	−0.147085	+	0.500926i
$926$	65.5350	−	46.6673i	2.15361	−	1.53358i
$927$	0.233842	+	1.60290i	0.00768037	+	0.0526462i
$928$	−40.5339	+	16.2273i	−1.33059	+	0.532688i
$929$	14.5223	+	3.52308i	0.476462	+	0.115588i	0.466796	−	0.884365i	$-0.345408\pi$
$929$	14.5223	+	3.52308i	0.476462	+	0.115588i	0.00966581	+	0.999953i	$0.496923\pi$
$930$	−23.2121	−	19.1253i	−0.761156	−	0.627143i
$931$	24.6584	−	7.10030i	0.808148	−	0.232703i
$932$	13.5456	+	21.0773i	0.443701	+	0.690411i
$933$	−30.9850	+	11.5933i	−1.01440	+	0.379546i
$934$	14.3620	−	15.0624i	0.469938	−	0.492857i
$935$	−63.8154	+	25.5478i	−2.08699	+	0.835504i
$936$	11.9953	−	9.47337i	0.392079	−	0.309647i
$937$	23.7592	+	10.8504i	0.776178	+	0.354469i	0.763798	−	0.645455i	$-0.223332\pi$
$937$	23.7592	+	10.8504i	0.776178	+	0.354469i	0.0123793	+	0.999923i	$0.496059\pi$
$938$	−20.1384	−	3.44069i	−0.657541	−	0.112342i
$939$	3.00661	+	4.43239i	0.0981169	+	0.144646i
$940$	25.0585	−	62.5932i	0.817319	−	2.04156i
$941$	−1.29006	+	27.0816i	−0.0420547	+	0.882836i	0.875012	+	0.484102i	$0.160853\pi$
$941$	−1.29006	+	27.0816i	−0.0420547	+	0.882836i	−0.917066	+	0.398734i	$0.869450\pi$
$942$	40.5566	−	33.5568i	1.32141	−	1.09334i
$943$	−4.03419	−	8.74396i	−0.131371	−	0.284743i
$944$		−	69.1507i		−	2.25066i
$945$	−33.8047	−	17.4070i	−1.09967	−	0.566251i
$946$	−18.8891	−	131.377i	−0.614138	−	4.27143i
$947$	−0.672568	+	7.04345i	−0.0218555	+	0.228882i	0.977944	+	0.208867i	$0.0669774\pi$
$947$	−0.672568	+	7.04345i	−0.0218555	+	0.228882i	−0.999800	+	0.0200149i	$0.993629\pi$
$948$	−55.0293	−	128.140i	−1.78727	−	4.16179i
$949$	1.39166	−	0.132888i	0.0451753	−	0.00431372i
$950$	−8.46321	−	24.4528i	−0.274583	−	0.793355i
$951$	−0.380959	−	15.3380i	−0.0123534	−	0.497370i
$952$	−62.4659	+	82.9908i	−2.02453	+	2.68975i
$953$	−14.1217	−	16.2973i	−0.457447	−	0.527922i	0.479431	−	0.877580i	$-0.340843\pi$
$953$	−14.1217	−	16.2973i	−0.457447	−	0.527922i	−0.936877	+	0.349658i	$0.886298\pi$
$954$	−68.3629	+	27.5323i	−2.21333	+	0.891391i
$955$	48.0866	+	24.7904i	1.55605	+	0.802197i
$956$	−44.7479	−	15.4874i	−1.44725	−	0.500899i
$957$	1.86310	−	26.4330i	0.0602254	−	0.854458i
$958$	−15.2818	−	2.19719i	−0.493732	−	0.0709879i
$959$	3.41887	+	0.253523i	0.110401	+	0.00818670i
$960$	−74.7041	−	19.9343i	−2.41106	−	0.643376i
$961$	−18.4165	+	17.5601i	−0.594081	+	0.566456i
$962$	5.71725	−	8.02876i	0.184332	−	0.258858i
$963$	4.88562	−	7.63680i	0.157437	−	0.246092i
$964$	23.3326	+	45.2590i	0.751494	+	1.45769i
$965$	28.4191			0.914843
$966$	57.9743	+	8.20046i	1.86529	+	0.263845i
$967$	−5.31020			−0.170765			−0.0853823	−	0.996348i	$-0.527211\pi$
$967$	−5.31020			−0.170765			−0.0853823	+	0.996348i	$0.527211\pi$
$968$	61.6357	+	119.557i	1.98105	+	3.84270i
$969$	20.2933	−	22.3697i	0.651914	−	0.718619i
$970$	63.1617	−	88.6982i	2.02800	−	2.84793i
$971$	−11.4164	+	10.8855i	−0.366370	+	0.349333i	−0.850793	−	0.525501i	$-0.823878\pi$
$971$	−11.4164	+	10.8855i	−0.366370	+	0.349333i	0.484423	+	0.874834i	$0.339029\pi$
$972$	72.8891	−	31.6592i	2.33792	−	1.01547i
$973$	−23.7747	+	34.9297i	−0.762182	+	1.11979i
$974$	41.6133	+	5.98309i	1.33338	+	0.191711i
$975$	−2.82600	−	0.199187i	−0.0905045	−	0.00637910i
$976$	−51.8778	−	17.9551i	−1.66057	−	0.574728i
$977$	−28.1256	−	14.4997i	−0.899817	−	0.463888i	−0.0547204	−	0.998502i	$-0.517427\pi$
$977$	−28.1256	−	14.4997i	−0.899817	−	0.463888i	−0.845096	+	0.534614i	$0.820457\pi$
$978$	0.923847	+	4.22584i	0.0295414	+	0.135128i
$979$	−22.0339	−	25.4284i	−0.704205	−	0.812696i
$980$	−85.7313	+	48.9001i	−2.73859	+	1.56206i
$981$	−14.4135	+	2.80885i	−0.460187	+	0.0896797i
$982$	29.2273	+	84.4467i	0.932680	+	2.69480i
$983$	−40.3891	+	3.85670i	−1.28821	+	0.123009i	−0.716583	−	0.697502i	$-0.754295\pi$
$983$	−40.3891	+	3.85670i	−1.28821	+	0.123009i	−0.571631	+	0.820511i	$0.693689\pi$
$984$	−26.3744	+	11.3264i	−0.840785	+	0.361073i
$985$	−0.699338	+	7.32380i	−0.0222828	+	0.233356i
$986$	5.28127	+	36.7320i	0.168190	+	1.16979i
$987$	21.0160	+	6.20708i	0.668946	+	0.197574i
$988$			11.5364i			0.367023i
$989$	29.8127	−	34.6758i	0.947988	−	1.10263i
$990$	75.4531	−	87.4418i	2.39806	−	2.77908i
$991$	0.694630	−	14.5821i	0.0220656	−	0.463215i	−0.960612	−	0.277893i	$-0.910364\pi$
$991$	0.694630	−	14.5821i	0.0220656	−	0.463215i	0.982678	−	0.185322i	$-0.0593329\pi$
$992$	13.0596	−	32.6213i	0.414643	−	1.03573i
$993$	−19.1651	+	13.0002i	−0.608186	+	0.412548i
$994$	−45.4033	+	54.6972i	−1.44010	+	1.73489i
$995$	−31.1614	−	14.2310i	−0.987884	−	0.451151i
$996$	24.5912	−	13.4608i	0.779202	−	0.426521i
$997$	2.06754	−	0.827716i	0.0654795	−	0.0262140i	−0.338692	−	0.940897i	$-0.609984\pi$
$997$	2.06754	−	0.827716i	0.0654795	−	0.0262140i	0.404171	+	0.914683i	$0.367560\pi$
$998$	21.1670	−	22.1994i	0.670031	−	0.702708i
$999$	23.9510	−	19.9007i	0.757775	−	0.629630i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bc.a.44.1	yes	1200
3.2	odd	2	inner	483.2.bc.a.44.60	yes	1200
7.4	even	3	inner	483.2.bc.a.389.60	yes	1200
21.11	odd	6	inner	483.2.bc.a.389.1	yes	1200
23.11	odd	22	inner	483.2.bc.a.149.1	yes	1200
69.11	even	22	inner	483.2.bc.a.149.60	yes	1200
161.11	odd	66	inner	483.2.bc.a.11.60	yes	1200
483.11	even	66	inner	483.2.bc.a.11.1	✓	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bc.a.11.1	✓	1200	483.11	even	66	inner
483.2.bc.a.11.60	yes	1200	161.11	odd	66	inner
483.2.bc.a.44.1	yes	1200	1.1	even	1	trivial
483.2.bc.a.44.60	yes	1200	3.2	odd	2	inner
483.2.bc.a.149.1	yes	1200	23.11	odd	22	inner
483.2.bc.a.149.60	yes	1200	69.11	even	22	inner
483.2.bc.a.389.1	yes	1200	21.11	odd	6	inner
483.2.bc.a.389.60	yes	1200	7.4	even	3	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bc (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.22080 - 2.36802i) q^{2} +(1.28284 + 1.16376i) q^{3} +(-2.95705 + 4.15260i) q^{4} +(-2.00169 + 1.90861i) q^{5} +(1.18972 - 4.45849i) q^{6} +(1.48870 - 2.18719i) q^{7} +(8.16926 + 1.17456i) q^{8} +(0.291334 + 2.98582i) q^{9} +O(q^{10})\)	\(q+(-1.22080 - 2.36802i) q^{2} +(1.28284 + 1.16376i) q^{3} +(-2.95705 + 4.15260i) q^{4} +(-2.00169 + 1.90861i) q^{5} +(1.18972 - 4.45849i) q^{6} +(1.48870 - 2.18719i) q^{7} +(8.16926 + 1.17456i) q^{8} +(0.291334 + 2.98582i) q^{9} +(6.96327 + 2.41001i) q^{10} +(-4.64392 - 2.39411i) q^{11} +(-8.62602 + 1.88581i) q^{12} +(-0.404267 - 0.466549i) q^{13} +(-6.99670 - 0.855148i) q^{14} +(-4.78899 + 0.118947i) q^{15} +(-3.85694 - 11.1439i) q^{16} +(-4.73537 + 0.452173i) q^{17} +(6.71482 - 4.33497i) q^{18} +(-0.348453 + 3.64916i) q^{19} +(-2.00658 - 13.9560i) q^{20} +(4.45511 - 1.07332i) q^{21} +13.9196i q^{22} +(-3.61227 + 3.15460i) q^{23} +(9.11291 + 11.0138i) q^{24} +(0.126070 - 2.64653i) q^{25} +(-0.611268 + 1.52687i) q^{26} +(-3.10104 + 4.16936i) q^{27} +(4.68035 + 12.6496i) q^{28} +(2.66357 + 1.21641i) q^{29} +(6.12806 + 11.1952i) q^{30} +(-2.18777 + 0.875852i) q^{31} +(-10.2896 + 10.7914i) q^{32} +(-3.17122 - 8.47564i) q^{33} +(6.85169 + 10.6614i) q^{34} +(1.19457 + 7.21940i) q^{35} +(-13.2604 - 7.61943i) q^{36} +(-5.82393 - 1.41287i) q^{37} +(9.06668 - 3.62975i) q^{38} +(0.0243421 - 1.06897i) q^{39} +(-18.5941 + 13.2408i) q^{40} +(-0.565701 + 1.92660i) q^{41} +(-7.98042 - 9.23948i) q^{42} +(-9.43825 + 1.35702i) q^{43} +(23.6740 - 12.2048i) q^{44} +(-6.28191 - 5.42064i) q^{45} +(11.8800 + 4.70280i) q^{46} +(4.14126 + 2.39095i) q^{47} +(8.02097 - 18.7843i) q^{48} +(-2.56756 - 6.51211i) q^{49} +(-6.42093 + 2.93234i) q^{50} +(-6.60092 - 4.93076i) q^{51} +(3.13283 - 0.299149i) q^{52} +(-9.05431 - 1.74508i) q^{53} +(13.6589 + 2.25337i) q^{54} +(13.8651 - 4.07115i) q^{55} +(14.7305 - 16.1191i) q^{56} +(-4.69375 + 4.27576i) q^{57} +(-0.371197 - 7.79239i) q^{58} +(5.54146 + 1.91792i) q^{59} +(13.6673 - 20.2385i) q^{60} +(2.87770 - 3.65929i) q^{61} +(4.74486 + 4.11145i) q^{62} +(6.96425 + 3.80778i) q^{63} +(15.4862 + 4.54716i) q^{64} +(1.69967 + 0.162299i) q^{65} +(-16.1991 + 17.8566i) q^{66} +(2.89512 + 0.137912i) q^{67} +(12.1250 - 21.0012i) q^{68} +(-8.30514 - 0.156978i) q^{69} +(15.6373 - 11.6422i) q^{70} +(5.45232 - 8.48397i) q^{71} +(-1.12705 + 24.7341i) q^{72} +(-1.31358 + 1.84466i) q^{73} +(3.76414 + 15.5160i) q^{74} +(3.24165 - 3.24835i) q^{75} +(-14.1231 - 12.2377i) q^{76} +(-12.1497 + 6.59301i) q^{77} +(-2.56107 + 1.24736i) q^{78} +(2.98902 + 15.5085i) q^{79} +(28.9897 + 14.9452i) q^{80} +(-8.83025 + 1.73974i) q^{81} +(5.25283 - 1.01240i) q^{82} +(-3.04637 + 0.894494i) q^{83} +(-8.71692 + 21.6741i) q^{84} +(8.61572 - 9.94307i) q^{85} +(14.7356 + 20.6933i) q^{86} +(2.00132 + 4.66022i) q^{87} +(-35.1253 - 25.0126i) q^{88} +(5.97859 + 2.39346i) q^{89} +(-5.16722 + 21.4932i) q^{90} +(-1.62226 + 0.189657i) q^{91} +(-2.41811 - 24.3286i) q^{92} +(-3.82583 - 1.42246i) q^{93} +(0.606188 - 12.7254i) q^{94} +(-6.26732 - 7.96955i) q^{95} +(-25.7584 + 1.86901i) q^{96} +(4.16332 - 14.1790i) q^{97} +(-12.2863 + 14.0300i) q^{98} +(5.79544 - 14.5634i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9	\( 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9} - 22 q^{10} - 25 q^{12} - 72 q^{13} - 44 q^{15} + 38 q^{16} - 45 q^{18} - 22 q^{19} + 44 q^{21} + 2 q^{24} + 18 q^{25} - 90 q^{27} - 44 q^{28} - 55 q^{30} - 18 q^{31} - 11 q^{33} - 88 q^{34} - 108 q^{36} - 66 q^{37} + q^{39} - 22 q^{40} - 22 q^{42} - 2 q^{46} - 228 q^{48} - 128 q^{49} - 11 q^{51} - 166 q^{52} + 35 q^{54} - 160 q^{55} - 44 q^{57} - 126 q^{58} - 11 q^{60} + 66 q^{61} + 33 q^{63} + 40 q^{64} + 22 q^{66} - 22 q^{67} - 24 q^{69} + 68 q^{70} - 149 q^{72} - 42 q^{73} + 123 q^{75} - 88 q^{76} - 108 q^{78} - 66 q^{79} - 81 q^{81} - 14 q^{82} + 44 q^{84} - 200 q^{85} + 75 q^{87} + 66 q^{88} + 16 q^{93} - 146 q^{94} + 5 q^{96} - 88 q^{97} - 308 q^{99}+O(q^{100}) \) 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9 - 22 * q^10 - 25 * q^12 - 72 * q^13 - 44 * q^15 + 38 * q^16 - 45 * q^18 - 22 * q^19 + 44 * q^21 + 2 * q^24 + 18 * q^25 - 90 * q^27 - 44 * q^28 - 55 * q^30 - 18 * q^31 - 11 * q^33 - 88 * q^34 - 108 * q^36 - 66 * q^37 + q^39 - 22 * q^40 - 22 * q^42 - 2 * q^46 - 228 * q^48 - 128 * q^49 - 11 * q^51 - 166 * q^52 + 35 * q^54 - 160 * q^55 - 44 * q^57 - 126 * q^58 - 11 * q^60 + 66 * q^61 + 33 * q^63 + 40 * q^64 + 22 * q^66 - 22 * q^67 - 24 * q^69 + 68 * q^70 - 149 * q^72 - 42 * q^73 + 123 * q^75 - 88 * q^76 - 108 * q^78 - 66 * q^79 - 81 * q^81 - 14 * q^82 + 44 * q^84 - 200 * q^85 + 75 * q^87 + 66 * q^88 + 16 * q^93 - 146 * q^94 + 5 * q^96 - 88 * q^97 - 308 * q^99

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