LMFDB - Embedded newform 483.2.y.b.4.9

Newspace parameters

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.y (of order $33$, degree $20$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$16$ over $\Q(\zeta_{33})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label			4.9
Character	$\chi$	$=$	483.4
Dual form			483.2.y.b.121.9

$q$-expansion

$f(q)$	$=$	$q+(-0.0919807 + 0.129169i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.645912 + 1.86624i) q^{4} +(0.0626824 - 1.31586i) q^{5} +(0.103842 + 0.119841i) q^{6} +(0.568266 - 2.58400i) q^{7} +(-0.604769 - 0.177576i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})$	\(q+(-0.0919807 + 0.129169i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.645912 + 1.86624i) q^{4} +(0.0626824 - 1.31586i) q^{5} +(0.103842 + 0.119841i) q^{6} +(0.568266 - 2.58400i) q^{7} +(-0.604769 - 0.177576i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(0.164203 + 0.129131i) q^{10} +(-1.86588 - 2.62026i) q^{11} +(1.96591 - 0.187722i) q^{12} +(0.717504 - 4.99035i) q^{13} +(0.281503 + 0.311081i) q^{14} +(-1.26399 - 0.371142i) q^{15} +(-3.02612 + 2.37977i) q^{16} +(-2.10666 + 0.406024i) q^{17} +(0.140944 - 0.0726618i) q^{18} +(5.62935 + 1.08497i) q^{19} +(2.49621 - 0.732952i) q^{20} +(-2.37719 - 1.16145i) q^{21} +0.510081 q^{22} +(3.12217 + 3.64034i) q^{23} +(-0.315150 + 0.545856i) q^{24} +(3.24979 + 0.310317i) q^{25} +(0.578601 + 0.551695i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(5.18942 - 0.608517i) q^{28} +(-6.22697 - 7.18631i) q^{29} +(0.164203 - 0.129131i) q^{30} +(2.58605 - 2.46580i) q^{31} +(-0.0890288 - 1.86894i) q^{32} +(-2.98630 + 1.19553i) q^{33} +(0.141326 - 0.309461i) q^{34} +(-3.36458 - 0.909733i) q^{35} +(0.281051 - 1.95475i) q^{36} +(3.24395 + 1.67237i) q^{37} +(-0.657936 + 0.627341i) q^{38} +(-4.68052 - 1.87380i) q^{39} +(-0.271574 + 0.784663i) q^{40} +(7.80449 + 5.01564i) q^{41} +(0.368679 - 0.200228i) q^{42} +(-6.63141 + 1.94716i) q^{43} +(3.68484 - 5.17463i) q^{44} +(-0.658678 + 1.14086i) q^{45} +(-0.757397 + 0.0684462i) q^{46} +(-0.750846 - 1.30050i) q^{47} +(1.59925 + 3.50187i) q^{48} +(-6.35415 - 2.93680i) q^{49} +(-0.339001 + 0.391228i) q^{50} +(-0.102083 + 2.14300i) q^{51} +(9.77663 - 1.88429i) q^{52} +(4.34165 + 1.73813i) q^{53} +(-0.0373847 - 0.154102i) q^{54} +(-3.56486 + 2.29100i) q^{55} +(-0.802527 + 1.46181i) q^{56} +(2.38156 - 5.21488i) q^{57} +(1.50101 - 0.143329i) q^{58} +(-7.83184 - 6.15903i) q^{59} +(-0.123789 - 2.59864i) q^{60} +(1.87416 + 7.72541i) q^{61} +(0.0806371 + 0.560843i) q^{62} +(-1.68915 + 2.03636i) q^{63} +(-6.22765 - 4.00227i) q^{64} +(-6.52165 - 1.25694i) q^{65} +(0.120256 - 0.495702i) q^{66} +(9.58930 + 0.915667i) q^{67} +(-2.11845 - 3.66927i) q^{68} +(4.27380 - 2.17592i) q^{69} +(0.426985 - 0.350921i) q^{70} +(-2.89468 - 6.33846i) q^{71} +(0.456170 + 0.434957i) q^{72} +(4.06933 + 11.7575i) q^{73} +(-0.514399 + 0.265191i) q^{74} +(1.06774 - 3.08502i) q^{75} +(1.61125 + 11.2065i) q^{76} +(-7.83107 + 3.33243i) q^{77} +(0.672554 - 0.432224i) q^{78} +(-11.4628 + 4.58902i) q^{79} +(2.94176 + 4.13113i) q^{80} +(0.580057 + 0.814576i) q^{81} +(-1.36573 + 0.546755i) q^{82} +(2.44600 - 1.57195i) q^{83} +(0.632088 - 5.18660i) q^{84} +(0.402223 + 2.79752i) q^{85} +(0.358450 - 1.03567i) q^{86} +(-8.45180 + 4.35721i) q^{87} +(0.663129 + 1.91599i) q^{88} +(8.39826 + 8.00773i) q^{89} +(-0.0867784 - 0.190018i) q^{90} +(-12.4873 - 4.68988i) q^{91} +(-4.77710 + 8.17805i) q^{92} +(-1.78661 - 3.09449i) q^{93} +(0.237048 + 0.0226353i) q^{94} +(1.78053 - 7.33946i) q^{95} +(-1.83725 - 0.354101i) q^{96} +(6.27343 + 4.03169i) q^{97} +(0.963802 - 0.550628i) q^{98} +(0.457786 + 3.18397i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) $	\( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{11}\right)$

Coefficient data

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

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

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

$2$	−0.0919807	+	0.129169i	−0.0650402	+	0.0913361i	−0.845815	−	0.533477i	$-0.820885\pi$
$2$	−0.0919807	+	0.129169i	−0.0650402	+	0.0913361i	0.780775	+	0.624813i	$0.214825\pi$
$3$	0.235759	−	0.971812i	0.136115	−	0.561076i
$3$	0.235759	−	0.971812i	0.136115	−	0.561076i
$4$	0.645912	+	1.86624i	0.322956	+	0.933120i
$5$	0.0626824	−	1.31586i	0.0280324	−	0.588473i	−0.940531	−	0.339707i	$-0.889672\pi$
$5$	0.0626824	−	1.31586i	0.0280324	−	0.588473i	0.968564	−	0.248766i	$-0.0800249\pi$
$6$	0.103842	+	0.119841i	0.0423935	+	0.0489247i
$7$	0.568266	−	2.58400i	0.214785	−	0.976661i
$7$	0.568266	−	2.58400i	0.214785	−	0.976661i
$8$	−0.604769	−	0.177576i	−0.213818	−	0.0627826i
$9$	−0.888835	−	0.458227i	−0.296278	−	0.152742i
$10$	0.164203	+	0.129131i	0.0519256	+	0.0408347i
$11$	−1.86588	−	2.62026i	−0.562583	−	0.790038i	0.431094	−	0.902307i	$-0.358128\pi$
$11$	−1.86588	−	2.62026i	−0.562583	−	0.790038i	−0.993678	+	0.112269i	$0.964188\pi$
$12$	1.96591	−	0.187722i	0.567510	−	0.0541906i
$13$	0.717504	−	4.99035i	0.199000	−	1.38407i	−0.608195	−	0.793788i	$-0.708106\pi$
$13$	0.717504	−	4.99035i	0.199000	−	1.38407i	0.807195	−	0.590286i	$-0.200985\pi$
$14$	0.281503	+	0.311081i	0.0752349	+	0.0831398i
$15$	−1.26399	−	0.371142i	−0.326362	−	0.0958285i
$16$	−3.02612	+	2.37977i	−0.756529	+	0.594941i
$17$	−2.10666	+	0.406024i	−0.510939	+	0.0984754i	−0.438203	−	0.898876i	$-0.644385\pi$
$17$	−2.10666	+	0.406024i	−0.510939	+	0.0984754i	−0.0727355	+	0.997351i	$0.523173\pi$
$18$	0.140944	−	0.0726618i	0.0332209	−	0.0171266i
$19$	5.62935	+	1.08497i	1.29146	+	0.248909i	0.788304	−	0.615286i	$-0.210959\pi$
$19$	5.62935	+	1.08497i	1.29146	+	0.248909i	0.503158	+	0.864195i	$0.332171\pi$
$20$	2.49621	−	0.732952i	0.558169	−	0.163893i
$21$	−2.37719	−	1.16145i	−0.518745	−	0.253449i
$22$	0.510081			0.108750
$23$	3.12217	+	3.64034i	0.651017	+	0.759063i
$23$	3.12217	+	3.64034i	0.651017	+	0.759063i
$24$	−0.315150	+	0.545856i	−0.0643297	+	0.111422i
$25$	3.24979	+	0.310317i	0.649958	+	0.0620634i
$26$	0.578601	+	0.551695i	0.113473	+	0.108196i
$27$	−0.654861	+	0.755750i	−0.126028	+	0.145444i
$28$	5.18942	−	0.608517i	0.980708	−	0.114999i
$29$	−6.22697	−	7.18631i	−1.15632	−	1.33446i	−0.933066	−	0.359704i	$-0.882878\pi$
$29$	−6.22697	−	7.18631i	−1.15632	−	1.33446i	−0.223254	−	0.974760i	$-0.571668\pi$
$30$	0.164203	−	0.129131i	0.0299793	−	0.0235759i
$31$	2.58605	−	2.46580i	0.464469	−	0.442870i	−0.421352	−	0.906897i	$-0.638444\pi$
$31$	2.58605	−	2.46580i	0.464469	−	0.442870i	0.885821	+	0.464027i	$0.153596\pi$
$32$	−0.0890288	−	1.86894i	−0.0157382	−	0.330386i
$33$	−2.98630	+	1.19553i	−0.519847	+	0.208115i
$34$	0.141326	−	0.309461i	0.0242372	−	0.0530720i
$35$	−3.36458	−	0.909733i	−0.568718	−	0.153773i
$36$	0.281051	−	1.95475i	0.0468419	−	0.325792i
$37$	3.24395	+	1.67237i	0.533302	+	0.274936i	0.703771	−	0.710427i	$-0.251498\pi$
$37$	3.24395	+	1.67237i	0.533302	+	0.274936i	−0.170469	+	0.985363i	$0.554528\pi$
$38$	−0.657936	+	0.627341i	−0.106731	+	0.101768i
$39$	−4.68052	−	1.87380i	−0.749483	−	0.300048i
$40$	−0.271574	+	0.784663i	−0.0429397	+	0.124066i
$41$	7.80449	+	5.01564i	1.21886	+	0.783312i	0.982119	−	0.188261i	$-0.0602852\pi$
$41$	7.80449	+	5.01564i	1.21886	+	0.783312i	0.236738	+	0.971573i	$0.423922\pi$
$42$	0.368679	−	0.200228i	0.0568884	−	0.0308958i
$43$	−6.63141	+	1.94716i	−1.01128	+	0.296939i	−0.745077	−	0.666978i	$-0.767587\pi$
$43$	−6.63141	+	1.94716i	−1.01128	+	0.296939i	−0.266203	+	0.963917i	$0.585769\pi$
$44$	3.68484	−	5.17463i	0.555510	−	0.780105i
$45$	−0.658678	+	1.14086i	−0.0981900	+	0.170070i
$46$	−0.757397	+	0.0684462i	−0.111672	+	0.0100918i
$47$	−0.750846	−	1.30050i	−0.109522	−	0.189698i	0.806055	−	0.591841i	$-0.201599\pi$
$47$	−0.750846	−	1.30050i	−0.109522	−	0.189698i	−0.915577	+	0.402143i	$0.868265\pi$
$48$	1.59925	+	3.50187i	0.230832	+	0.505451i
$49$	−6.35415	−	2.93680i	−0.907735	−	0.419544i
$50$	−0.339001	+	0.391228i	−0.0479420	+	0.0553280i
$51$	−0.102083	+	2.14300i	−0.0142945	+	0.300079i
$52$	9.77663	−	1.88429i	1.35577	−	0.261304i
$53$	4.34165	+	1.73813i	0.596371	+	0.238751i	0.650155	−	0.759801i	$-0.274704\pi$
$53$	4.34165	+	1.73813i	0.596371	+	0.238751i	−0.0537837	+	0.998553i	$0.517128\pi$
$54$	−0.0373847	−	0.154102i	−0.00508742	−	0.0209706i
$55$	−3.56486	+	2.29100i	−0.480686	+	0.308918i
$56$	−0.802527	+	1.46181i	−0.107242	+	0.195343i
$57$	2.38156	−	5.21488i	0.315445	−	0.690728i
$58$	1.50101	−	0.143329i	0.197092	−	0.0188200i
$59$	−7.83184	−	6.15903i	−1.01962	−	0.801837i	−0.0392940	−	0.999228i	$-0.512511\pi$
$59$	−7.83184	−	6.15903i	−1.01962	−	0.801837i	−0.980325	+	0.197391i	$0.936753\pi$
$60$	−0.123789	−	2.59864i	−0.0159810	−	0.335483i
$61$	1.87416	+	7.72541i	0.239962	+	0.989138i	0.956533	+	0.291624i	$0.0941954\pi$
$61$	1.87416	+	7.72541i	0.239962	+	0.989138i	−0.716571	+	0.697514i	$0.754289\pi$
$62$	0.0806371	+	0.560843i	0.0102409	+	0.0712272i
$63$	−1.68915	+	2.03636i	−0.212813	+	0.256557i
$64$	−6.22765	−	4.00227i	−0.778457	−	0.500284i
$65$	−6.52165	−	1.25694i	−0.808911	−	0.155905i
$66$	0.120256	−	0.495702i	0.0148025	−	0.0610167i
$67$	9.58930	+	0.915667i	1.17152	+	0.111866i	0.662617	−	0.748958i	$-0.269446\pi$
$67$	9.58930	+	0.915667i	1.17152	+	0.111866i	0.508902	+	0.860825i	$0.330052\pi$
$68$	−2.11845	−	3.66927i	−0.256900	−	0.444964i
$69$	4.27380	−	2.17592i	0.514505	−	0.261950i
$70$	0.426985	−	0.350921i	0.0510345	−	0.0419431i
$71$	−2.89468	−	6.33846i	−0.343535	−	0.752236i	0.656463	−	0.754358i	$-0.272052\pi$
$71$	−2.89468	−	6.33846i	−0.343535	−	0.752236i	−0.999998	+	0.00212189i	$0.999325\pi$
$72$	0.456170	+	0.434957i	0.0537601	+	0.0512602i
$73$	4.06933	+	11.7575i	0.476279	+	1.37612i	0.885906	+	0.463864i	$0.153537\pi$
$73$	4.06933	+	11.7575i	0.476279	+	1.37612i	−0.409628	+	0.912253i	$0.634341\pi$
$74$	−0.514399	+	0.265191i	−0.0597977	+	0.0308279i
$75$	1.06774	−	3.08502i	0.123292	−	0.356228i
$76$	1.61125	+	11.2065i	0.184823	+	1.28548i
$77$	−7.83107	+	3.33243i	−0.892434	+	0.379766i
$78$	0.672554	−	0.432224i	0.0761517	−	0.0489397i
$79$	−11.4628	+	4.58902i	−1.28967	+	0.516305i	−0.912210	−	0.409722i	$-0.865626\pi$
$79$	−11.4628	+	4.58902i	−1.28967	+	0.516305i	−0.377457	+	0.926027i	$0.623201\pi$
$80$	2.94176	+	4.13113i	0.328899	+	0.461874i
$81$	0.580057	+	0.814576i	0.0644508	+	0.0905084i
$82$	−1.36573	+	0.546755i	−0.150819	+	0.0603790i
$83$	2.44600	−	1.57195i	0.268484	−	0.172544i	−0.399471	−	0.916746i	$-0.630806\pi$
$83$	2.44600	−	1.57195i	0.268484	−	0.172544i	0.667955	+	0.744202i	$0.267170\pi$
$84$	0.632088	−	5.18660i	0.0689665	−	0.565905i
$85$	0.402223	+	2.79752i	0.0436272	+	0.303434i
$86$	0.358450	−	1.03567i	0.0386526	−	0.111679i
$87$	−8.45180	+	4.35721i	−0.906129	+	0.467142i
$88$	0.663129	+	1.91599i	0.0706898	+	0.204245i
$89$	8.39826	+	8.00773i	0.890214	+	0.848817i	0.989245	−	0.146267i	$-0.0467259\pi$
$89$	8.39826	+	8.00773i	0.890214	+	0.848817i	−0.0990311	+	0.995084i	$0.531574\pi$
$90$	−0.0867784	−	0.190018i	−0.00914725	−	0.0200297i
$91$	−12.4873	−	4.68988i	−1.30903	−	0.491633i
$92$	−4.77710	+	8.17805i	−0.498047	+	0.852621i
$93$	−1.78661	−	3.09449i	−0.185262	−	0.320884i
$94$	0.237048	+	0.0226353i	0.0244496	+	0.00233466i
$95$	1.78053	−	7.33946i	0.182679	−	0.753012i
$96$	−1.83725	−	0.354101i	−0.187514	−	0.0361403i
$97$	6.27343	+	4.03169i	0.636970	+	0.409356i	0.818884	−	0.573959i	$-0.194593\pi$
$97$	6.27343	+	4.03169i	0.636970	+	0.409356i	−0.181914	+	0.983314i	$0.558229\pi$
$98$	0.963802	−	0.550628i	0.0973588	−	0.0556219i
$99$	0.457786	+	3.18397i	0.0460093	+	0.320001i
$100$	1.51995	+	6.26532i	0.151995	+	0.626532i
$101$	−0.0580670	−	1.21898i	−0.00577788	−	0.121293i	−0.999914	−	0.0131522i	$-0.995813\pi$
$101$	−0.0580670	−	1.21898i	−0.00577788	−	0.121293i	0.994136	−	0.108140i	$-0.0344896\pi$
$102$	−0.267419	−	0.210300i	−0.0264784	−	0.0208228i
$103$	8.46685	−	0.808486i	0.834264	−	0.0796625i	0.330824	−	0.943693i	$-0.392673\pi$
$103$	8.46685	−	0.808486i	0.834264	−	0.0796625i	0.503440	+	0.864030i	$0.332067\pi$
$104$	−1.32009	+	2.89059i	−0.129445	+	0.283446i
$105$	−1.67732	+	3.05526i	−0.163690	+	0.298163i
$106$	−0.623861	+	0.400931i	−0.0605947	+	0.0389419i
$107$	2.22418	+	9.16820i	0.215020	+	0.886323i	0.972395	+	0.233343i	$0.0749664\pi$
$107$	2.22418	+	9.16820i	0.215020	+	0.886323i	−0.757375	+	0.652980i	$0.773518\pi$
$108$	−1.83339	−	0.733979i	−0.176418	−	0.0706272i
$109$	−4.41881	+	0.851655i	−0.423245	+	0.0815738i	−0.396426	−	0.918067i	$-0.629750\pi$
$109$	−4.41881	+	0.851655i	−0.423245	+	0.0815738i	−0.0268186	+	0.999640i	$0.508538\pi$
$110$	0.0319731	−	0.671197i	0.00304851	−	0.0639961i
$111$	2.39002	−	2.75823i	0.226851	−	0.261800i
$112$	4.42968	+	9.17184i	0.418565	+	0.866657i
$113$	5.96125	+	13.0533i	0.560787	+	1.22795i	0.951559	+	0.307465i	$0.0994807\pi$
$113$	5.96125	+	13.0533i	0.560787	+	1.22795i	−0.390772	+	0.920487i	$0.627792\pi$
$114$	0.454543	+	0.787291i	0.0425718	+	0.0737365i
$115$	4.98590	−	3.88017i	0.464937	−	0.361828i
$116$	9.38930	−	16.2627i	0.871775	−	1.50996i
$117$	−2.92445	+	4.10682i	−0.270366	+	0.379675i
$118$	1.51593	−	0.445118i	0.139553	−	0.0409764i
$119$	−0.147973	+	5.67433i	−0.0135646	+	0.520165i
$120$	0.698518	+	0.448910i	0.0637657	+	0.0409797i
$121$	0.213491	−	0.616843i	0.0194083	−	0.0560766i
$122$	−1.17027	−	0.468505i	−0.105951	−	0.0424165i
$123$	6.71424	−	6.40202i	0.605403	−	0.577250i
$124$	6.27213	+	3.23351i	0.563254	+	0.290378i
$125$	1.54944	−	10.7766i	0.138586	−	0.963886i
$126$	−0.107664	−	0.405492i	−0.00959152	−	0.0361241i
$127$	−3.65176	+	7.99623i	−0.324041	+	0.709551i	−0.999615	−	0.0277411i	$-0.991169\pi$
$127$	−3.65176	+	7.99623i	−0.324041	+	0.709551i	0.675574	+	0.737292i	$0.263896\pi$
$128$	4.56386	−	1.82710i	0.403392	−	0.161494i
$129$	0.328856	+	6.90354i	0.0289542	+	0.607823i
$130$	0.762224	−	0.726779i	0.0668514	−	0.0637427i
$131$	−12.9247	+	10.1641i	−1.12924	+	0.888043i	−0.994695	−	0.102865i	$-0.967199\pi$
$131$	−12.9247	+	10.1641i	−1.12924	+	0.888043i	−0.134543	+	0.990908i	$0.542957\pi$
$132$	−4.16003	−	4.80093i	−0.362084	−	0.417868i
$133$	6.00253	−	13.9297i	0.520486	−	1.20786i
$134$	−1.00031	+	1.15441i	−0.0864132	+	0.0997262i
$135$	0.953416	+	0.909080i	0.0820570	+	0.0782412i
$136$	1.34614	+	0.128541i	0.115430	+	0.0110223i
$137$	−6.77702	+	11.7381i	−0.579000	+	1.00286i	0.416595	+	0.909092i	$0.363223\pi$
$137$	−6.77702	+	11.7381i	−0.579000	+	1.00286i	−0.995594	+	0.0937648i	$0.970110\pi$
$138$	−0.112046	+	0.752184i	−0.00953802	+	0.0640302i
$139$	−14.4553			−1.22609			−0.613043	−	0.790050i	$-0.710055\pi$
$139$	−14.4553			−1.22609			−0.613043	+	0.790050i	$0.710055\pi$
$140$	−0.475441	−	6.86672i	−0.0401821	−	0.580344i
$141$	−1.44086	+	0.423076i	−0.121343	+	0.0356294i
$142$	1.08499	+	0.209114i	0.0910499	+	0.0175484i
$143$	−14.4148	+	7.43133i	−1.20542	+	0.621439i
$144$	3.78019	−	0.728572i	0.315016	−	0.0607144i
$145$	−9.84653	+	7.74340i	−0.817710	+	0.643054i
$146$	−1.89301	−	0.555837i	−0.156666	−	0.0460014i
$147$	−4.35207	+	5.48265i	−0.358953	+	0.452202i
$148$	−1.02574	+	7.13419i	−0.0843155	+	0.586427i
$149$	−13.7235	+	1.31044i	−1.12428	+	0.107355i	−0.640588	−	0.767885i	$-0.721309\pi$
$149$	−13.7235	+	1.31044i	−1.12428	+	0.107355i	−0.483688	+	0.875240i	$0.660703\pi$
$150$	0.300278	+	0.421681i	0.0245176	+	0.0344301i
$151$	−0.195291	−	0.153578i	−0.0158925	−	0.0124980i	0.610181	−	0.792262i	$-0.291097\pi$
$151$	−0.195291	−	0.153578i	−0.0158925	−	0.0124980i	−0.626074	+	0.779764i	$0.715339\pi$
$152$	−3.21179	−	1.65579i	−0.260511	−	0.134303i
$153$	2.05852	+	0.604436i	0.166422	+	0.0488658i
$154$	0.289862	−	1.31805i	0.0233577	−	0.106211i
$155$	−3.08256	−	3.55746i	−0.247597	−	0.285742i
$156$	0.473752	−	9.94528i	0.0379305	−	0.796260i
$157$	−2.13923	−	6.18090i	−0.170729	−	0.493290i	0.826881	−	0.562376i	$-0.190113\pi$
$157$	−2.13923	−	6.18090i	−0.170729	−	0.493290i	−0.997611	+	0.0690867i	$0.977992\pi$
$158$	0.461600	−	1.90274i	0.0367229	−	0.151374i
$159$	2.71272	−	3.80948i	0.215133	−	0.302112i
$160$	−2.46486			−0.194864
$161$	11.1809	−	5.99902i	0.881176	−	0.472789i
$162$	−0.158572			−0.0124586
$163$	3.59969	−	5.05505i	0.281949	−	0.395942i	−0.649178	−	0.760636i	$-0.724887\pi$
$163$	3.59969	−	5.05505i	0.281949	−	0.395942i	0.931127	+	0.364694i	$0.118826\pi$
$164$	−4.31938	+	17.8047i	−0.337287	+	1.39032i
$165$	1.38597	+	4.00450i	0.107898	+	0.311750i
$166$	−0.0219380	+	0.460536i	−0.00170272	+	0.0357445i
$167$	6.56678	+	7.57847i	0.508153	+	0.586439i	0.950625	−	0.310343i	$-0.100444\pi$
$167$	6.56678	+	7.57847i	0.508153	+	0.586439i	−0.442472	+	0.896782i	$0.645898\pi$
$168$	1.23140	+	1.12454i	0.0950049	+	0.0867602i
$169$	−11.9153	−	3.49866i	−0.916565	−	0.269128i
$170$	−0.398350	−	0.205363i	−0.0305520	−	0.0157507i
$171$	−4.50641	−	3.54388i	−0.344614	−	0.271007i
$172$	−7.91717	−	11.1181i	−0.603678	−	0.847748i
$173$	−20.1192	+	1.92115i	−1.52964	+	0.146062i	−0.825662	−	0.564164i	$-0.809198\pi$
$173$	−20.1192	+	1.92115i	−1.52964	+	0.146062i	−0.703973	+	0.710227i	$0.748592\pi$
$174$	0.214587	−	1.49249i	0.0162678	−	0.113145i
$175$	2.64861	−	8.22112i	0.200216	−	0.621458i
$176$	11.8820	+	3.48886i	0.895637	+	0.262983i
$177$	−7.83184	+	6.15903i	−0.588677	+	0.462941i
$178$	−1.80683	+	0.348237i	−0.135427	+	0.0261015i
$179$	21.1349	−	10.8958i	1.57969	−	0.814389i	0.579694	−	0.814835i	$-0.303172\pi$
$179$	21.1349	−	10.8958i	1.57969	−	0.814389i	1.00000		0.000446030i	$0.000141976\pi$
$180$	−2.55457	−	0.492354i	−0.190407	−	0.0366979i
$181$	17.1121	−	5.02457i	1.27193	−	0.373474i	0.425011	−	0.905188i	$-0.360270\pi$
$181$	17.1121	−	5.02457i	1.27193	−	0.373474i	0.846924	+	0.531714i	$0.178452\pi$
$182$	1.75438	−	1.18160i	0.130043	−	0.0875858i
$183$	7.94950			0.587644
$184$	−1.24175	−	2.75598i	−0.0915433	−	0.203174i
$185$	2.40395	−	4.16377i	0.176742	−	0.306127i
$186$	0.564045	+	0.0538598i	0.0413578	+	0.00394919i
$187$	4.99465	+	4.76239i	0.365245	+	0.348260i
$188$	1.94207	−	2.24127i	0.141640	−	0.163461i
$189$	1.58072	+	2.12163i	0.114981	+	0.154326i
$190$	0.784254	+	0.905078i	0.0568958	+	0.0656612i
$191$	16.9397	−	13.3215i	1.22571	−	0.963912i	0.225767	−	0.974181i	$-0.427511\pi$
$191$	16.9397	−	13.3215i	1.22571	−	0.963912i	0.999947	+	0.0102694i	$0.00326890\pi$
$192$	−5.35768	+	5.10853i	−0.386657	+	0.368677i
$193$	−0.570935	−	11.9854i	−0.0410968	−	0.862728i	−0.921471	−	0.388448i	$-0.873011\pi$
$193$	−0.570935	−	11.9854i	−0.0410968	−	0.862728i	0.880374	−	0.474280i	$-0.157292\pi$
$194$	−1.09780	+	0.439494i	−0.0788176	+	0.0315538i
$195$	−2.75905	+	6.04148i	−0.197580	+	0.432639i
$196$	1.37656	−	13.7553i	0.0983260	−	0.982520i
$197$	1.03527	−	7.20047i	0.0737601	−	0.513013i	−0.919128	−	0.393959i	$-0.871105\pi$
$197$	1.03527	−	7.20047i	0.0737601	−	0.513013i	0.992888	−	0.119053i	$-0.0379859\pi$
$198$	−0.453378	−	0.233732i	−0.0322201	−	0.0166106i
$199$	4.62552	−	4.41042i	0.327894	−	0.312646i	−0.508193	−	0.861243i	$-0.669686\pi$
$199$	4.62552	−	4.41042i	0.327894	−	0.312646i	0.836087	+	0.548597i	$0.184838\pi$
$200$	−1.91027	−	0.764755i	−0.135076	−	0.0540763i
$201$	3.15062	−	9.10311i	0.222227	−	0.642084i
$202$	0.162795	+	0.104622i	0.0114542	+	0.00736117i
$203$	−22.1080	+	12.0068i	−1.55168	+	0.842711i
$204$	−4.06528	+	1.19367i	−0.284627	+	0.0835739i
$205$	7.08911	−	9.95527i	0.495125	−	0.695306i
$206$	−0.674356	+	1.16802i	−0.0469846	+	0.0813797i
$207$	−1.10700	−	4.66632i	−0.0769415	−	0.324332i
$208$	9.70460	+	16.8089i	0.672893	+	1.16549i
$209$	−7.66078	−	16.7748i	−0.529908	−	1.16034i
$210$	−0.240363	−	0.497682i	−0.0165866	−	0.0343433i
$211$	5.74167	−	6.62625i	0.395273	−	0.456170i	−0.522873	−	0.852410i	$-0.675140\pi$
$211$	5.74167	−	6.62625i	0.395273	−	0.456170i	0.918147	+	0.396241i	$0.129685\pi$
$212$	−0.439452	+	9.22524i	−0.0301817	+	0.633592i
$213$	−6.84223	+	1.31873i	−0.468822	+	0.0903580i
$214$	−1.38883	−	0.556002i	−0.0949382	−	0.0380075i
$215$	2.14652	+	8.84809i	0.146392	+	0.603435i
$216$	0.530242	−	0.340766i	0.0360784	−	0.0231862i
$217$	−4.90206	−	8.08360i	−0.332774	−	0.548751i
$218$	0.296438	−	0.649108i	0.0200773	−	0.0439631i
$219$	12.3855	−	1.18267i	0.836935	−	0.0799176i
$220$	−6.57814	−	5.17311i	−0.443498	−	0.348771i
$221$	0.514671	+	10.8043i	0.0346205	+	0.726773i
$222$	0.136442	+	0.562420i	0.00915737	+	0.0377472i
$223$	−2.22180	−	15.4530i	−0.148783	−	1.03481i	−0.918216	−	0.396080i	$-0.870370\pi$
$223$	−2.22180	−	15.4530i	−0.148783	−	1.03481i	0.769433	−	0.638727i	$-0.220539\pi$
$224$	−4.87995	−	0.832008i	−0.326056	−	0.0555909i
$225$	−2.74633	−	1.76496i	−0.183089	−	0.117664i
$226$	−2.23440	−	0.430645i	−0.148630	−	0.0286461i
$227$	1.72912	−	7.12754i	0.114766	−	0.473071i	−0.885203	−	0.465205i	$-0.845981\pi$
$227$	1.72912	−	7.12754i	0.114766	−	0.473071i	0.999969	−	0.00786674i	$-0.00250409\pi$
$228$	11.2705	+	1.07620i	0.746406	+	0.0712732i
$229$	14.3138	+	24.7923i	0.945885	+	1.63832i	0.753969	+	0.656910i	$0.228137\pi$
$229$	14.3138	+	24.7923i	0.945885	+	1.63832i	0.191916	+	0.981411i	$0.438530\pi$
$230$	0.0425905	+	1.00092i	0.00280833	+	0.0659989i
$231$	1.39225	+	8.39598i	0.0916032	+	0.552415i
$232$	2.48976	+	5.45182i	0.163461	+	0.357929i
$233$	15.9564	+	15.2144i	1.04534	+	0.996728i	0.999997	−	0.00224311i	$-0.000714004\pi$
$233$	15.9564	+	15.2144i	1.04534	+	0.996728i	0.0453412	+	0.998972i	$0.485562\pi$
$234$	−0.261480	−	0.755496i	−0.0170935	−	0.0493883i
$235$	−1.75835	+	0.906493i	−0.114702	+	0.0591331i
$236$	6.43554	−	18.5943i	0.418918	−	1.21038i
$237$	1.75720	+	12.2216i	0.114142	+	0.793878i
$238$	−0.719336	−	0.541043i	−0.0466277	−	0.0350706i
$239$	−6.08289	+	3.90924i	−0.393470	+	0.252868i	−0.722384	−	0.691492i	$-0.756954\pi$
$239$	−6.08289	+	3.90924i	−0.393470	+	0.252868i	0.328914	+	0.944360i	$0.393317\pi$
$240$	4.70823	−	1.88489i	0.303915	−	0.121669i
$241$	−6.24720	−	8.77297i	−0.402418	−	0.565117i	0.562790	−	0.826600i	$-0.309728\pi$
$241$	−6.24720	−	8.77297i	−0.402418	−	0.565117i	−0.965208	+	0.261483i	$0.915788\pi$
$242$	0.0600398	+	0.0843140i	0.00385950	+	0.00541991i
$243$	0.928368	−	0.371662i	0.0595548	−	0.0238422i
$244$	−13.2069	+	8.48758i	−0.845487	+	0.543361i
$245$	−4.26273	+	8.17711i	−0.272336	+	0.522416i
$246$	0.209360	+	1.45613i	0.0133483	+	0.0928396i
$247$	9.45345	−	27.3140i	0.601509	−	1.73795i
$248$	−2.00183	+	1.03202i	−0.127116	+	0.0655331i
$249$	−0.950972	−	2.74765i	−0.0602654	−	0.174125i
$250$	1.24948	+	1.19138i	0.0790240	+	0.0753492i
$251$	−3.03420	−	6.64397i	−0.191517	−	0.419363i	0.789377	−	0.613909i	$-0.210404\pi$
$251$	−3.03420	−	6.64397i	−0.191517	−	0.419363i	−0.980893	+	0.194546i	$0.937677\pi$
$252$	−4.89138	−	1.83706i	−0.308128	−	0.115724i
$253$	3.71304	−	14.9733i	0.233437	−	0.941364i
$254$	−0.696973	−	1.20719i	−0.0437320	−	0.0757460i
$255$	2.81349	+	0.268656i	0.176188	+	0.0168239i
$256$	3.30678	−	13.6307i	0.206674	−	0.851921i
$257$	26.0580	+	5.02228i	1.62546	+	0.313281i	0.918934	−	0.394410i	$-0.129051\pi$
$257$	26.0580	+	5.02228i	1.62546	+	0.313281i	0.706522	+	0.707691i	$0.250263\pi$
$258$	−0.921970	−	0.592514i	−0.0573994	−	0.0368883i
$259$	6.16485	−	7.43203i	0.383065	−	0.461804i
$260$	−1.86665	−	12.9828i	−0.115765	−	0.805161i
$261$	2.24180	+	9.24081i	0.138764	+	0.571992i
$262$	−0.124062	−	2.60437i	−0.00766455	−	0.160899i
$263$	−9.14179	−	7.18919i	−0.563707	−	0.443304i	0.295200	−	0.955435i	$-0.404614\pi$
$263$	−9.14179	−	7.18919i	−0.563707	−	0.443304i	−0.858907	+	0.512131i	$0.828856\pi$
$264$	2.01832	−	0.192726i	0.124219	−	0.0118615i
$265$	2.55929	−	5.60407i	0.157216	−	0.344256i
$266$	1.24717	+	2.05661i	0.0764687	+	0.126099i
$267$	9.76197	−	6.27364i	0.597423	−	0.383940i
$268$	4.48499	+	18.4874i	0.273964	+	1.12930i
$269$	13.9611	+	5.58918i	0.851223	+	0.340778i	0.755915	−	0.654670i	$-0.227192\pi$
$269$	13.9611	+	5.58918i	0.851223	+	0.340778i	0.0953075	+	0.995448i	$0.469617\pi$
$270$	−0.205121	+	0.0395338i	−0.0124832	+	0.00240595i
$271$	0.370608	−	7.78002i	0.0225128	−	0.472603i	−0.959258	−	0.282533i	$-0.908825\pi$
$271$	0.370608	−	7.78002i	0.0225128	−	0.472603i	0.981771	−	0.190070i	$-0.0608715\pi$
$272$	5.40874	−	6.24202i	0.327953	−	0.378478i
$273$	−7.50168	+	11.0297i	−0.454022	+	0.667545i
$274$	−0.892847	−	1.95506i	−0.0539389	−	0.118110i
$275$	−5.25060	−	9.09430i	−0.316623	−	0.548407i
$276$	6.82128	+	6.57049i	0.410593	+	0.395497i
$277$	−3.01006	+	5.21357i	−0.180857	+	0.313253i	−0.942173	−	0.335128i	$-0.891220\pi$
$277$	−3.01006	+	5.21357i	−0.180857	+	0.313253i	0.761316	+	0.648381i	$0.224554\pi$
$278$	1.32961	−	1.86718i	0.0797448	−	0.111986i
$279$	−3.42847	+	1.00669i	−0.205257	+	0.0602689i
$280$	1.87324	+	1.14765i	0.111948	+	0.0685850i
$281$	9.64949	+	6.20135i	0.575641	+	0.369942i	0.795834	−	0.605514i	$-0.207033\pi$
$281$	9.64949	+	6.20135i	0.575641	+	0.369942i	−0.220194	+	0.975456i	$0.570669\pi$
$282$	0.0778834	−	0.225029i	0.00463789	−	0.0134003i
$283$	−13.6616	−	5.46930i	−0.812100	−	0.325116i	−0.0718228	−	0.997417i	$-0.522882\pi$
$283$	−13.6616	−	5.46930i	−0.812100	−	0.325116i	−0.740277	+	0.672301i	$0.765306\pi$
$284$	9.95937	−	9.49624i	0.590980	−	0.563498i
$285$	−6.71279	−	3.46069i	−0.397632	−	0.204993i
$286$	0.365985	−	2.54548i	0.0216411	−	0.150517i
$287$	17.3955	−	17.3166i	1.02682	−	1.02217i
$288$	−0.777268	+	1.70198i	−0.0458010	+	0.100290i
$289$	−11.5091	+	4.60755i	−0.677007	+	0.271033i
$290$	−0.0945147	−	1.98411i	−0.00555010	−	0.116511i
$291$	5.39706	−	5.14608i	0.316381	−	0.301669i
$292$	−19.3140	+	15.1887i	−1.13026	+	0.888850i
$293$	13.6167	+	15.7145i	0.795495	+	0.918050i	0.998125	−	0.0612054i	$-0.0194945\pi$
$293$	13.6167	+	15.7145i	0.795495	+	0.918050i	−0.202630	+	0.979255i	$0.564949\pi$
$294$	−0.307882	−	1.06645i	−0.0179560	−	0.0621966i
$295$	−8.59537	+	9.91958i	−0.500442	+	0.577540i
$296$	−1.66487	−	1.58745i	−0.0967684	−	0.0922685i
$297$	3.20215	+	0.305768i	0.185808	+	0.0177425i
$298$	1.09303	−	1.89319i	0.0633177	−	0.109669i
$299$	20.4067	−	12.9688i	1.18015	−	0.750003i
$300$	6.44705			0.372221
$301$	1.26305	+	18.2421i	0.0728012	+	1.05146i
$302$	0.0378005	−	0.0110992i	0.00217518	−	0.000638689i
$303$	−1.19830	−	0.230954i	−0.0688408	−	0.0132680i
$304$	−19.6171	+	10.1133i	−1.12512	+	0.580037i
$305$	10.2831	−	1.98190i	0.588807	−	0.113483i
$306$	−0.267419	+	0.210300i	−0.0152873	+	0.0120221i
$307$	−13.5783	−	3.98694i	−0.774952	−	0.227547i	−0.129738	−	0.991548i	$-0.541414\pi$
$307$	−13.5783	−	3.98694i	−0.774952	−	0.227547i	−0.645214	+	0.764002i	$0.723232\pi$
$308$	−11.2773	−	12.4622i	−0.642583	−	0.710100i
$309$	1.21044	−	8.41879i	0.0688595	−	0.478928i
$310$	0.743049	−	0.0709525i	0.0422023	−	0.00402983i
$311$	2.78137	+	3.90589i	0.157717	+	0.221482i	0.885872	−	0.463930i	$-0.153561\pi$
$311$	2.78137	+	3.90589i	0.157717	+	0.221482i	−0.728155	+	0.685413i	$0.759622\pi$
$312$	2.49789	+	1.96436i	0.141415	+	0.111210i
$313$	13.1670	+	6.78807i	0.744244	+	0.383684i	0.788257	−	0.615347i	$-0.210984\pi$
$313$	13.1670	+	6.78807i	0.744244	+	0.383684i	−0.0440130	+	0.999031i	$0.514014\pi$
$314$	0.995148	+	0.292202i	0.0561594	+	0.0164899i
$315$	2.57369	+	2.35034i	0.145011	+	0.132427i
$316$	−15.9682	−	18.4283i	−0.898280	−	1.03667i
$317$	−0.683281	+	14.3438i	−0.0383769	+	0.805629i	0.894855	+	0.446356i	$0.147278\pi$
$317$	−0.683281	+	14.3438i	−0.0383769	+	0.805629i	−0.933232	+	0.359273i	$0.883025\pi$
$318$	0.242549	+	0.700798i	0.0136015	+	0.0392988i
$319$	−7.21122	+	29.7251i	−0.403751	+	1.66428i
$320$	−5.65681	+	7.94388i	−0.316225	+	0.444076i
$321$	9.43413			0.526562
$322$	−0.253538	+	1.99601i	−0.0141291	+	0.111233i
$323$	−12.2996			−0.684370
$324$	−1.14553	+	1.60867i	−0.0636405	+	0.0893705i
$325$	3.88033	−	15.9949i	0.215242	−	0.887239i
$326$	0.321853	+	0.929934i	0.0178258	+	0.0515043i
$327$	−0.214125	+	4.49503i	−0.0118411	+	0.248576i
$328$	−3.82925	−	4.41920i	−0.211435	−	0.244009i
$329$	−3.78719	+	1.20116i	−0.208794	+	0.0662219i
$330$	−0.644739	−	0.189312i	−0.0354917	−	0.0104213i
$331$	−24.1722	−	12.4616i	−1.32862	−	0.684952i	−0.359874	−	0.933001i	$-0.617180\pi$
$331$	−24.1722	−	12.4616i	−1.32862	−	0.684952i	−0.968748	+	0.248049i	$0.920211\pi$
$332$	4.51354	+	3.54948i	0.247712	+	0.194803i
$333$	−2.11701	−	2.97293i	−0.116012	−	0.162915i
$334$	−1.58292	+	0.151150i	−0.0866135	+	0.00827058i
$335$	1.80597	−	12.5608i	0.0986709	−	0.686271i
$336$	9.95763	−	2.14247i	0.543234	−	0.116881i
$337$	−18.0603	−	5.30299i	−0.983809	−	0.288872i	−0.250013	−	0.968242i	$-0.580435\pi$
$337$	−18.0603	−	5.30299i	−0.983809	−	0.288872i	−0.733796	+	0.679370i	$0.762253\pi$
$338$	1.54790	−	1.21728i	0.0841947	−	0.0662114i
$339$	14.0908	−	2.71577i	0.765306	−	0.147501i
$340$	−4.96105	+	2.55760i	−0.269051	+	0.138705i
$341$	−11.2863	−	2.17525i	−0.611187	−	0.117797i
$342$	0.872261	−	0.256119i	0.0471665	−	0.0138493i
$343$	−11.1996	+	14.7502i	−0.604720	+	0.796439i
$344$	4.35624			0.234872
$345$	−2.59532	−	5.76014i	−0.139727	−	0.310115i
$346$	1.60243	−	2.77548i	0.0861470	−	0.149211i
$347$	20.0244	+	1.91209i	1.07496	+	0.102647i	0.617492	−	0.786577i	$-0.288149\pi$
$347$	20.0244	+	1.91209i	1.07496	+	0.102647i	0.457472	+	0.889224i	$0.348755\pi$
$348$	−13.5907	−	12.9587i	−0.728539	−	0.694660i
$349$	10.8046	−	12.4692i	0.578359	−	0.667461i	−0.388892	−	0.921283i	$-0.627142\pi$
$349$	10.8046	−	12.4692i	0.578359	−	0.667461i	0.967251	+	0.253822i	$0.0816877\pi$
$350$	0.818292	+	1.09830i	0.0437395	+	0.0587067i
$351$	3.30159	+	3.81024i	0.176226	+	0.203375i
$352$	−4.73100	+	3.72050i	−0.252163	+	0.198303i
$353$	13.7487	−	13.1094i	0.731770	−	0.697741i	−0.229513	−	0.973306i	$-0.573713\pi$
$353$	13.7487	−	13.1094i	0.731770	−	0.697741i	0.961283	+	0.275564i	$0.0888647\pi$
$354$	−0.0751761	−	1.57814i	−0.00399557	−	0.0838773i
$355$	−8.52200	+	3.41169i	−0.452301	+	0.181074i
$356$	−9.51980	+	20.8455i	−0.504548	+	1.10481i
$357$	5.47950	+	1.48158i	0.290006	+	0.0784133i
$358$	−0.536604	+	3.73217i	−0.0283604	+	0.197251i
$359$	−22.3536	−	11.5241i	−1.17978	−	0.608218i	−0.247121	−	0.968985i	$-0.579485\pi$
$359$	−22.3536	−	11.5241i	−1.17978	−	0.608218i	−0.932656	+	0.360767i	$0.882515\pi$
$360$	0.600938	−	0.572993i	0.0316722	−	0.0301994i
$361$	12.8735	+	5.15376i	0.677550	+	0.271250i
$362$	−0.924967	+	2.67252i	−0.0486152	+	0.140464i
$363$	−0.549122	−	0.352900i	−0.0288215	−	0.0185224i
$364$	0.686717	−	26.3336i	0.0359937	−	1.38026i
$365$	15.7264	−	4.61769i	0.823158	−	0.241701i
$366$	−0.731200	+	1.02683i	−0.0382205	+	0.0536731i
$367$	7.94823	−	13.7667i	0.414894	−	0.718618i	−0.580523	−	0.814244i	$-0.697152\pi$
$367$	7.94823	−	13.7667i	0.414894	−	0.718618i	0.995417	+	0.0956257i	$0.0304852\pi$
$368$	−18.1112	−	3.58606i	−0.944112	−	0.186936i
$369$	−4.63861	−	8.03431i	−0.241476	−	0.418249i
$370$	0.316712	+	0.693503i	0.0164651	+	0.0360535i
$371$	6.95856	−	10.2311i	0.361270	−	0.531173i
$372$	4.62107	−	5.33300i	0.239591	−	0.276503i
$373$	−0.687832	+	14.4394i	−0.0356146	+	0.747642i	0.908472	+	0.417945i	$0.137250\pi$
$373$	−0.687832	+	14.4394i	−0.0356146	+	0.747642i	−0.944087	+	0.329697i	$0.893053\pi$
$374$	−1.07456	+	0.207105i	−0.0555644	+	0.0107092i
$375$	−10.1075	−	4.04643i	−0.521949	−	0.208957i
$376$	0.223150	+	0.919836i	0.0115081	+	0.0474369i
$377$	−40.3301	+	25.9186i	−2.07710	+	1.33487i
$378$	−0.419444	+	0.00903129i	−0.0215739	+	0.000464520i
$379$	−7.80485	+	17.0902i	−0.400908	+	0.877867i	0.596269	+	0.802785i	$0.296649\pi$
$379$	−7.80485	+	17.0902i	−0.400908	+	0.877867i	−0.997177	+	0.0750819i	$0.976078\pi$
$380$	14.8473	−	1.41774i	0.761648	−	0.0727286i
$381$	6.90990	+	5.43400i	0.354005	+	0.278392i
$382$	0.162601	+	3.41341i	0.00831937	+	0.174645i
$383$	−1.01425	−	4.18079i	−0.0518257	−	0.213628i	0.940011	−	0.341145i	$-0.110815\pi$
$383$	−1.01425	−	4.18079i	−0.0518257	−	0.213628i	−0.991836	+	0.127516i	$0.959299\pi$
$384$	−0.699621	−	4.86597i	−0.0357024	−	0.248316i
$385$	3.89416	+	10.5135i	0.198465	+	0.535819i
$386$	1.60065	+	1.02868i	0.0814712	+	0.0523583i
$387$	6.78647	+	1.30798i	0.344976	+	0.0664886i
$388$	−3.47201	+	14.3118i	−0.176265	+	0.726573i
$389$	−24.7674	−	2.36500i	−1.25576	−	0.119910i	−0.554116	−	0.832440i	$-0.686944\pi$
$389$	−24.7674	−	2.36500i	−1.25576	−	0.119910i	−0.701642	+	0.712529i	$0.747550\pi$
$390$	−0.526591	−	0.912082i	−0.0266650	−	0.0461851i
$391$	−8.05540	−	6.40126i	−0.407379	−	0.323726i
$392$	3.32128	+	2.90443i	0.167750	+	0.146696i
$393$	6.83048	+	14.9567i	0.344552	+	0.754464i
$394$	0.834852	+	0.796030i	0.0420592	+	0.0401034i
$395$	5.32001	+	15.3712i	0.267679	+	0.773407i
$396$	−5.64637	+	2.91091i	−0.283741	+	0.146278i
$397$	3.57158	−	10.3194i	0.179252	−	0.517915i	−0.819201	−	0.573506i	$-0.805583\pi$
$397$	3.57158	−	10.3194i	0.179252	−	0.517915i	0.998454	+	0.0555905i	$0.0177041\pi$
$398$	0.144231	+	1.00315i	0.00722963	+	0.0502832i
$399$	−12.1219	−	9.11739i	−0.606854	−	0.456440i
$400$	−10.5727	+	6.79468i	−0.528636	+	0.339734i
$401$	−27.2589	+	10.9128i	−1.36124	+	0.544959i	−0.933382	−	0.358885i	$-0.883157\pi$
$401$	−27.2589	+	10.9128i	−1.36124	+	0.544959i	−0.427861	+	0.903844i	$0.640733\pi$
$402$	0.886042	+	1.24427i	0.0441918	+	0.0620587i
$403$	−10.4497	−	14.6745i	−0.520536	−	0.730990i
$404$	2.23740	−	0.895718i	0.111315	−	0.0445636i
$405$	1.10823	−	0.712217i	0.0550684	−	0.0353903i
$406$	0.482610	−	3.96006i	0.0239516	−	0.196535i
$407$	−1.67077	−	11.6204i	−0.0828168	−	0.576004i
$408$	0.442282	−	1.27789i	0.0218962	−	0.0632649i
$409$	10.5612	−	5.44470i	0.522220	−	0.269223i	−0.176898	−	0.984229i	$-0.556606\pi$
$409$	10.5612	−	5.44470i	0.522220	−	0.269223i	0.699118	+	0.715006i	$0.253576\pi$
$410$	0.633848	+	1.83138i	0.0313035	+	0.0904457i
$411$	9.80952	+	9.35336i	0.483868	+	0.461367i
$412$	6.97767	+	15.2790i	0.343765	+	0.752741i
$413$	−20.3655	+	16.7375i	−1.00212	+	0.823600i
$414$	0.704566	+	0.286222i	0.0346275	+	0.0140671i
$415$	−1.91515	−	3.31714i	−0.0940111	−	0.162832i
$416$	−9.39056	−	0.896690i	−0.460410	−	0.0439638i
$417$	−3.40797	+	14.0479i	−0.166889	+	0.687927i
$418$	2.87142	+	0.553421i	0.140446	+	0.0270687i
$419$	11.7631	+	7.55970i	0.574666	+	0.369315i	0.795461	−	0.606005i	$-0.207229\pi$
$419$	11.7631	+	7.55970i	0.574666	+	0.369315i	−0.220795	+	0.975320i	$0.570865\pi$
$420$	−6.78524	−	1.15685i	−0.331086	−	0.0564486i
$421$	−1.79728	−	12.5004i	−0.0875943	−	0.609232i	−0.985580	−	0.169208i	$-0.945879\pi$
$421$	−1.79728	−	12.5004i	−0.0875943	−	0.609232i	0.897986	−	0.440024i	$-0.145030\pi$
$422$	0.327781	+	1.35113i	0.0159561	+	0.0657721i
$423$	0.0714534	+	1.49999i	0.00347418	+	0.0729321i
$424$	−2.31704	−	1.82214i	−0.112526	−	0.0884910i
$425$	−6.97218	+	0.665762i	−0.338200	+	0.0322942i
$426$	0.459014	−	1.00510i	0.0222393	−	0.0486973i
$427$	21.0275	−	0.452755i	1.01759	−	0.0219104i
$428$	−15.6734	+	10.0727i	−0.757604	+	0.486882i
$429$	3.82344	+	15.7604i	0.184598	+	0.760922i
$430$	−1.34034	−	0.536590i	−0.0646367	−	0.0258766i
$431$	20.8704	−	4.02244i	1.00529	−	0.193754i	0.340070	−	0.940400i	$-0.389549\pi$
$431$	20.8704	−	4.02244i	1.00529	−	0.193754i	0.665221	+	0.746646i	$0.268337\pi$
$432$	0.183179	−	3.84540i	0.00881321	−	0.185012i
$433$	1.51928	−	1.75334i	0.0730118	−	0.0842601i	−0.718068	−	0.695972i	$-0.754974\pi$
$433$	1.51928	−	1.75334i	0.0730118	−	0.0842601i	0.791080	+	0.611712i	$0.209519\pi$
$434$	1.49504	+	0.110342i	0.0717644	+	0.00529658i
$435$	5.20372	+	11.3946i	0.249499	+	0.546327i
$436$	−4.44355	−	7.69646i	−0.212807	−	0.368593i
$437$	13.6261	+	23.8802i	0.651827	+	1.14234i
$438$	−0.986463	+	1.70860i	−0.0471350	+	0.0816402i
$439$	−0.632427	+	0.888120i	−0.0301841	+	0.0423876i	−0.829392	−	0.558667i	$-0.811313\pi$
$439$	−0.632427	+	0.888120i	−0.0301841	+	0.0423876i	0.799208	+	0.601054i	$0.205252\pi$
$440$	2.56274	−	0.752490i	0.122174	−	0.0358735i
$441$	4.30207	+	5.52197i	0.204860	+	0.262951i
$442$	−1.44291	−	0.927304i	−0.0686324	−	0.0441074i
$443$	7.99395	−	23.0970i	0.379804	−	1.09737i	−0.579494	−	0.814977i	$-0.696750\pi$
$443$	7.99395	−	23.0970i	0.379804	−	1.09737i	0.959298	−	0.282396i	$-0.0911291\pi$
$444$	6.69126	+	2.67878i	0.317553	+	0.127129i
$445$	11.0635	−	10.5490i	0.524461	−	0.500072i
$446$	2.20041	+	1.13439i	0.104192	+	0.0537148i
$447$	−1.96195	+	13.6456i	−0.0927969	+	0.645417i
$448$	−13.8808	+	13.8179i	−0.655808	+	0.652835i
$449$	−8.44765	+	18.4978i	−0.398669	+	0.872964i	0.598734	+	0.800948i	$0.295671\pi$
$449$	−8.44765	+	18.4978i	−0.398669	+	0.872964i	−0.997403	+	0.0720164i	$0.977057\pi$
$450$	0.480587	−	0.192398i	0.0226551	−	0.00906974i
$451$	−1.41995	−	29.8084i	−0.0668627	−	1.40362i
$452$	−20.5102	+	19.5564i	−0.964717	+	0.919856i
$453$	−0.195291	+	0.153578i	−0.00917556	+	0.00721574i
$454$	0.761610	+	0.878945i	0.0357441	+	0.0412509i
$455$	−6.95398	+	16.1377i	−0.326008	+	0.756546i
$456$	−2.36633	+	2.73089i	−0.110813	+	0.127886i
$457$	−0.317149	−	0.302401i	−0.0148356	−	0.0141457i	0.682625	−	0.730769i	$-0.260838\pi$
$457$	−0.317149	−	0.302401i	−0.0148356	−	0.0141457i	−0.697461	+	0.716623i	$0.745687\pi$
$458$	−4.51899	−	0.431511i	−0.211159	−	0.0201632i
$459$	1.07271	−	1.85799i	0.0500699	−	0.0867237i
$460$	10.4618	+	6.79863i	0.487783	+	0.316988i
$461$	27.5763			1.28435			0.642177	−	0.766556i	$-0.278031\pi$
$461$	27.5763			1.28435			0.642177	+	0.766556i	$0.278031\pi$
$462$	−1.21256	−	0.592433i	−0.0564133	−	0.0275625i
$463$	−21.1743	+	6.21732i	−0.984051	+	0.288944i	−0.733896	−	0.679262i	$-0.762300\pi$
$463$	−21.1743	+	6.21732i	−0.984051	+	0.288944i	−0.250156	+	0.968206i	$0.580482\pi$
$464$	35.9453	+	6.92789i	1.66872	+	0.321619i
$465$	−4.18392	+	2.15696i	−0.194025	+	0.100027i
$466$	−3.43291	+	0.661639i	−0.159026	+	0.0306498i
$467$	−15.8936	+	12.4989i	−0.735470	+	0.578380i	−0.914077	−	0.405540i	$-0.867083\pi$
$467$	−15.8936	+	12.4989i	−0.735470	+	0.578380i	0.178607	+	0.983920i	$0.442841\pi$
$468$	−9.55325	−	2.80509i	−0.441599	−	0.129665i
$469$	7.81536	−	24.2584i	0.360880	−	1.12015i
$470$	0.0446438	−	0.310504i	0.00205926	−	0.0143225i
$471$	−6.51101	+	0.621726i	−0.300012	+	0.0286476i
$472$	3.64276	+	5.11553i	0.167671	+	0.235462i
$473$	17.4755	+	13.7428i	0.803522	+	0.631897i
$474$	−1.74028	−	0.897175i	−0.0799336	−	0.0412086i
$475$	17.9575	+	5.27280i	0.823948	+	0.241933i
$476$	−10.6852	+	3.38897i	−0.489757	+	0.155333i
$477$	−3.06255	−	3.53437i	−0.140225	−	0.161828i
$478$	0.0545571	−	1.14529i	0.00249538	−	0.0523846i
$479$	−0.512014	−	1.47937i	−0.0233945	−	0.0675940i	0.932699	−	0.360656i	$-0.117447\pi$
$479$	−0.512014	−	1.47937i	−0.0233945	−	0.0675940i	−0.956094	+	0.293062i	$0.905326\pi$
$480$	−0.581113	+	2.39538i	−0.0265240	+	0.109334i
$481$	10.6733	−	14.9885i	0.486659	−	0.683417i
$482$	1.70782			0.0777889
$483$	−3.19392	−	12.2800i	−0.145329	−	0.558760i
$484$	1.28907			0.0585942
$485$	5.69839	−	8.00227i	0.258751	−	0.363364i
$486$	−0.0373847	+	0.154102i	−0.00169581	+	0.00699021i
$487$	10.0521	+	29.0437i	0.455506	+	1.31610i	0.905985	+	0.423310i	$0.139132\pi$
$487$	10.0521	+	29.0437i	0.455506	+	1.31610i	−0.450479	+	0.892787i	$0.648747\pi$
$488$	0.238412	−	5.00489i	0.0107924	−	0.226561i
$489$	−4.06390	−	4.68999i	−0.183776	−	0.212089i
$490$	−0.664139	−	1.30275i	−0.0300027	−	0.0588522i
$491$	42.3632	+	12.4390i	1.91183	+	0.561363i	0.980227	+	0.197875i	$0.0634041\pi$
$491$	42.3632	+	12.4390i	1.91183	+	0.561363i	0.931599	+	0.363487i	$0.118414\pi$
$492$	16.2845	+	8.39524i	0.734162	+	0.378487i
$493$	16.0359	+	12.6108i	0.722221	+	0.567961i
$494$	2.65858	+	3.73345i	0.119615	+	0.167976i
$495$	4.21837	−	0.402806i	0.189602	−	0.0181048i
$496$	−1.95768	+	13.6160i	−0.0879026	+	0.611376i
$497$	−18.0235	+	3.87792i	−0.808466	+	0.173949i
$498$	0.442382	+	0.129895i	0.0198236	+	0.00582074i
$499$	−29.4960	+	23.1959i	−1.32042	+	1.03839i	−0.324715	+	0.945812i	$0.605269\pi$
$499$	−29.4960	+	23.1959i	−1.32042	+	1.03839i	−0.995705	+	0.0925787i	$0.970489\pi$
$500$	21.1125	−	4.06909i	0.944178	−	0.181975i
$501$	8.91302	−	4.59498i	0.398204	−	0.205289i
$502$	1.13728	+	0.219193i	0.0507593	+	0.00978306i
$503$	11.6837	−	3.43065i	0.520951	−	0.152965i	−0.0106770	−	0.999943i	$-0.503399\pi$
$503$	11.6837	−	3.43065i	0.520951	−	0.152965i	0.531628	+	0.846978i	$0.321580\pi$
$504$	1.38316	−	0.931573i	0.0616107	−	0.0414955i
$505$	−1.60765			−0.0715394
$506$	1.59256	+	1.85687i	0.0707978	+	0.0825477i
$507$	−6.20919	+	10.7546i	−0.275760	+	0.477630i
$508$	−17.2816	−	1.65019i	−0.766747	−	0.0732155i
$509$	−1.05995	−	1.01066i	−0.0469813	−	0.0447966i	0.666225	−	0.745751i	$-0.267909\pi$
$509$	−1.05995	−	1.01066i	−0.0469813	−	0.0447966i	−0.713206	+	0.700954i	$0.752758\pi$
$510$	−0.293489	+	0.338704i	−0.0129959	+	0.0149981i
$511$	32.6940	−	3.83373i	1.44630	−	0.169594i
$512$	7.89511	+	9.11144i	0.348918	+	0.402673i
$513$	−4.50641	+	3.54388i	−0.198963	+	0.156466i
$514$	−3.04556	+	2.90393i	−0.134334	+	0.128087i
$515$	−0.533136	−	11.1919i	−0.0234928	−	0.493175i
$516$	−12.6712	+	5.07280i	−0.557820	+	0.223318i
$517$	−2.00667	+	4.39399i	−0.0882532	+	0.193248i
$518$	0.392939	+	1.47991i	0.0172648	+	0.0650235i
$519$	−2.87629	+	20.0050i	−0.126255	+	0.878122i
$520$	3.72088	+	1.91825i	0.163172	+	0.0841208i
$521$	−26.0864	+	24.8733i	−1.14287	+	1.08972i	−0.147951	+	0.988995i	$0.547268\pi$
$521$	−26.0864	+	24.8733i	−1.14287	+	1.08972i	−0.994914	+	0.100726i	$0.967884\pi$
$522$	−1.39983	−	0.560406i	−0.0612688	−	0.0245283i
$523$	5.19348	−	15.0056i	0.227095	−	0.656148i	−0.772677	−	0.634799i	$-0.781083\pi$
$523$	5.19348	−	15.0056i	0.227095	−	0.656148i	0.999772	−	0.0213487i	$-0.00679603\pi$
$524$	−27.3169	−	17.5555i	−1.19334	−	0.766916i
$525$	−7.36495	−	4.51215i	−0.321433	−	0.196926i
$526$	1.76949	−	0.519568i	0.0771533	−	0.0226543i
$527$	−4.44675	+	6.24459i	−0.193703	+	0.272018i
$528$	6.19179	−	10.7245i	0.269463	−	0.466724i
$529$	−3.50411	+	22.7315i	−0.152353	+	0.988326i
$530$	0.488466	+	0.846048i	0.0212176	+	0.0367500i
$531$	4.13899	+	9.06312i	0.179617	+	0.393306i
$532$	29.8733	+	2.20480i	1.29517	+	0.0955903i
$533$	30.6296	−	35.3484i	1.32671	−	1.53111i
$534$	−0.0875545	+	1.83800i	−0.00378885	+	0.0795378i
$535$	12.2035	−	2.35204i	0.527604	−	0.101687i
$536$	−5.63670	−	2.25660i	−0.243469	−	0.0974701i
$537$	−5.60591	−	23.1079i	−0.241913	−	0.997178i
$538$	−2.00610	+	1.28924i	−0.0864890	+	0.0555831i
$539$	4.16087	+	22.1292i	0.179221	+	0.953173i
$540$	−1.08074	+	2.36649i	−0.0465076	+	0.101837i
$541$	36.1208	−	3.44912i	1.55295	−	0.148289i	0.716994	−	0.697079i	$-0.245517\pi$
$541$	36.1208	−	3.44912i	1.55295	−	0.148289i	0.835960	+	0.548790i	$0.184911\pi$
$542$	0.970848	+	0.763483i	0.0417015	+	0.0327944i
$543$	−0.848602	−	17.8144i	−0.0364170	−	0.764487i
$544$	0.946390	+	3.90107i	0.0405762	+	0.167257i
$545$	0.843682	+	5.86793i	0.0361393	+	0.251355i
$546$	−0.734679	−	1.98350i	−0.0314413	−	0.0848859i
$547$	−25.4624	−	16.3637i	−1.08870	−	0.699662i	−0.132145	−	0.991230i	$-0.542187\pi$
$547$	−25.4624	−	16.3637i	−1.08870	−	0.699662i	−0.956550	+	0.291568i	$0.905823\pi$
$548$	−26.2835	−	5.06574i	−1.12278	−	0.216398i
$549$	1.87416	−	7.72541i	0.0799874	−	0.329713i
$550$	1.65765	+	0.158287i	0.0706826	+	0.00674937i
$551$	−27.2569	−	47.2103i	−1.16118	−	2.01123i
$552$	−2.97105	+	0.557002i	−0.126456	+	0.0237076i
$553$	5.34411	+	32.2277i	0.227254	+	1.37046i
$554$	−0.396564	−	0.868354i	−0.0168484	−	0.0368928i
$555$	−3.47965	−	3.31784i	−0.147703	−	0.140834i
$556$	−9.33687	−	26.9771i	−0.395972	−	1.14408i
$557$	−18.9164	+	9.75207i	−0.801512	+	0.413208i	−0.809763	−	0.586758i	$-0.800404\pi$
$557$	−18.9164	+	9.75207i	−0.801512	+	0.413208i	0.00825024	+	0.999966i	$0.497374\pi$
$558$	0.185320	−	0.535448i	0.00784523	−	0.0226673i
$559$	4.95893	+	34.4901i	0.209740	+	1.45878i
$560$	12.3466	−	5.25395i	0.521737	−	0.222020i
$561$	5.80568	−	3.73108i	0.245116	−	0.157526i
$562$	−1.68859	+	0.676009i	−0.0712288	+	0.0285157i
$563$	−14.4317	−	20.2665i	−0.608224	−	0.854131i	0.389537	−	0.921011i	$-0.372635\pi$
$563$	−14.4317	−	20.2665i	−0.608224	−	0.854131i	−0.997761	+	0.0668798i	$0.978696\pi$
$564$	−1.72023	−	2.41573i	−0.0724348	−	0.101720i
$565$	17.5501	−	7.02598i	0.738336	−	0.295585i
$566$	1.96307	−	1.26159i	0.0825140	−	0.0530285i
$567$	2.43449	−	1.03597i	0.102239	−	0.0435068i
$568$	0.625051	+	4.34732i	0.0262266	+	0.182410i
$569$	−6.37123	+	18.4085i	−0.267096	+	0.771723i	0.729086	+	0.684422i	$0.239945\pi$
$569$	−6.37123	+	18.4085i	−0.267096	+	0.771723i	−0.996182	+	0.0873010i	$0.972176\pi$
$570$	1.06446	−	0.548767i	0.0445853	−	0.0229853i
$571$	4.25526	+	12.2948i	0.178077	+	0.514520i	0.998348	−	0.0574554i	$-0.0182987\pi$
$571$	4.25526	+	12.2948i	0.178077	+	0.514520i	−0.820271	+	0.571975i	$0.806177\pi$
$572$	−23.1793	−	22.1014i	−0.969176	−	0.924108i
$573$	−8.95233	−	19.6029i	−0.373989	−	0.818922i
$574$	0.636719	+	3.83975i	0.0265761	+	0.160268i
$575$	9.01673	+	12.7992i	0.376024	+	0.533763i
$576$	3.70141	+	6.41104i	0.154226	+	0.267126i
$577$	−14.6274	−	1.39675i	−0.608946	−	0.0581473i	−0.213972	−	0.976840i	$-0.568640\pi$
$577$	−14.6274	−	1.39675i	−0.608946	−	0.0581473i	−0.394974	+	0.918692i	$0.629246\pi$
$578$	0.463464	−	1.91042i	0.0192776	−	0.0794632i
$579$	−11.7821	−	2.27082i	−0.489649	−	0.0943722i
$580$	−20.8110	−	13.3744i	−0.864131	−	0.555343i
$581$	−2.67194	−	7.21376i	−0.110851	−	0.299277i
$582$	0.168288	+	1.17047i	0.00697578	+	0.0485176i
$583$	−3.54663	−	14.6194i	−0.146886	−	0.605473i
$584$	−0.373142	−	7.83321i	−0.0154407	−	0.324141i
$585$	5.22071	+	4.10561i	0.215850	+	0.169746i
$586$	−3.28229	+	0.313421i	−0.135590	+	0.0129473i
$587$	−10.3794	+	22.7277i	−0.428403	+	0.938071i	0.565181	+	0.824967i	$0.308806\pi$
$587$	−10.3794	+	22.7277i	−0.428403	+	0.938071i	−0.993583	+	0.113103i	$0.963921\pi$
$588$	−13.0430	−	4.58069i	−0.537884	−	0.188904i
$589$	17.2331	−	11.0751i	0.710078	−	0.456340i
$590$	−0.490693	−	2.02266i	−0.0202015	−	0.0832717i
$591$	−6.75343	−	2.70367i	−0.277799	−	0.111214i
$592$	−13.7964	+	2.65904i	−0.567030	+	0.109286i
$593$	1.32891	−	27.8972i	0.0545717	−	1.14560i	−0.791027	−	0.611781i	$-0.790453\pi$
$593$	1.32891	−	27.8972i	0.0545717	−	1.14560i	0.845599	−	0.533819i	$-0.179244\pi$
$594$	−0.334032	+	0.385493i	−0.0137055	+	0.0158170i
$595$	7.45738	+	0.550393i	0.305723	+	0.0225639i
$596$	−11.3098	−	24.7650i	−0.463267	−	1.01441i
$597$	−3.19559	−	5.53493i	−0.130787	−	0.226529i
$598$	−0.201865	+	3.82879i	−0.00825488	+	0.156571i
$599$	−7.82433	+	13.5521i	−0.319694	+	0.553726i	−0.980424	−	0.196898i	$-0.936913\pi$
$599$	−7.82433	+	13.5521i	−0.319694	+	0.553726i	0.660730	+	0.750623i	$0.270247\pi$
$600$	−1.19356	+	1.67612i	−0.0487269	+	0.0684273i
$601$	−17.5689	+	5.15870i	−0.716651	+	0.210428i	−0.619675	−	0.784859i	$-0.712735\pi$
$601$	−17.5689	+	5.15870i	−0.716651	+	0.210428i	−0.0969766	+	0.995287i	$0.530917\pi$
$602$	−2.47249	−	1.51477i	−0.100771	−	0.0617375i
$603$	−8.10372	−	5.20795i	−0.330009	−	0.212084i
$604$	0.160473	−	0.463657i	0.00652957	−	0.0188660i
$605$	−0.798299	−	0.319591i	−0.0324555	−	0.0129932i
$606$	0.140053	−	0.133540i	0.00568927	−	0.00542470i
$607$	−12.6838	−	6.53896i	−0.514820	−	0.265408i	0.181180	−	0.983450i	$-0.442008\pi$
$607$	−12.6838	−	6.53896i	−0.514820	−	0.265408i	−0.696000	+	0.718042i	$0.745039\pi$
$608$	1.52657	−	10.6175i	0.0619107	−	0.430598i
$609$	6.45616	+	24.3155i	0.261617	+	0.985316i
$610$	−0.689845	+	1.51055i	−0.0279310	+	0.0611604i
$611$	−7.02870	+	2.81387i	−0.284351	+	0.113837i
$612$	0.201600	+	4.23211i	0.00814920	+	0.171073i
$613$	−7.97647	+	7.60555i	−0.322166	+	0.307185i	−0.833852	−	0.551987i	$-0.813870\pi$
$613$	−7.97647	+	7.60555i	−0.322166	+	0.307185i	0.511686	+	0.859173i	$0.329021\pi$
$614$	1.76393	−	1.38717i	0.0711863	−	0.0559815i
$615$	−8.00332	−	9.23633i	−0.322725	−	0.372445i
$616$	5.32775	−	0.624737i	0.214661	−	0.0251714i
$617$	18.2538	−	21.0660i	0.734869	−	0.848084i	−0.258142	−	0.966107i	$-0.583110\pi$
$617$	18.2538	−	21.0660i	0.734869	−	0.848084i	0.993011	+	0.118023i	$0.0376556\pi$
$618$	0.976109	+	0.930718i	0.0392648	+	0.0374390i
$619$	−26.1521	−	2.49722i	−1.05114	−	0.100372i	−0.444843	−	0.895609i	$-0.646740\pi$
$619$	−26.1521	−	2.49722i	−1.05114	−	0.100372i	−0.606299	+	0.795237i	$0.707346\pi$
$620$	4.64801	−	8.05059i	0.186669	−	0.323320i
$621$	−4.79577	−	0.0243355i	−0.192448	−	0.000976551i
$622$	−0.760351			−0.0304873
$623$	25.4644	−	17.1506i	1.02021	−	0.687125i
$624$	18.6230	−	5.46821i	0.745517	−	0.218903i
$625$	1.94449	+	0.374770i	0.0777796	+	0.0149908i
$626$	−2.08792	+	1.07640i	−0.0834500	+	0.0430215i
$627$	−18.1080	+	3.49004i	−0.723165	+	0.139379i
$628$	10.1533	−	7.98463i	0.405160	−	0.318622i
$629$	−7.51291	−	2.20599i	−0.299559	−	0.0879585i
$630$	−0.540321	+	0.116255i	−0.0215269	+	0.00463170i
$631$	−0.157015	+	1.09206i	−0.00625067	+	0.0434744i	−0.992708	−	0.120543i	$-0.961536\pi$
$631$	−0.157015	+	1.09206i	−0.00625067	+	0.0434744i	0.986457	+	0.164018i	$0.0524454\pi$
$632$	7.74725	−	0.739773i	0.308169	−	0.0294266i
$633$	−5.08581	−	7.14202i	−0.202143	−	0.283870i
$634$	−1.78993	−	1.40761i	−0.0710870	−	0.0559035i
$635$	10.2931	+	5.30644i	0.408468	+	0.210580i
$636$	8.86159	+	2.60200i	0.351385	+	0.103176i
$637$	−19.2148	+	29.6022i	−0.761318	+	1.17288i
$638$	−3.17626	−	3.66560i	−0.125749	−	0.145122i
$639$	−0.331558	+	6.96026i	−0.0131162	+	0.275344i
$640$	−2.11814	−	6.11995i	−0.0837267	−	0.241912i
$641$	−6.79338	+	28.0027i	−0.268322	+	1.10604i	0.664955	+	0.746883i	$0.268451\pi$
$641$	−6.79338	+	28.0027i	−0.268322	+	1.10604i	−0.933277	+	0.359156i	$0.883065\pi$
$642$	−0.867758	+	1.21860i	−0.0342477	+	0.0480941i
$643$	16.5939			0.654401			0.327201	−	0.944955i	$-0.393895\pi$
$643$	16.5939			0.654401			0.327201	+	0.944955i	$0.393895\pi$
$644$	18.4175	+	16.9913i	0.725749	+	0.669553i
$645$	9.10474			0.358499
$646$	1.13133	−	1.58873i	0.0445115	−	0.0625077i
$647$	−0.550711	+	2.27006i	−0.0216507	+	0.0892454i	−0.981612	−	0.190888i	$-0.938863\pi$
$647$	−0.550711	+	2.27006i	−0.0216507	+	0.0892454i	0.959961	+	0.280133i	$0.0903786\pi$
$648$	−0.206151	−	0.595634i	−0.00809838	−	0.0233987i
$649$	−1.52499	+	32.0134i	−0.0598610	+	1.25664i
$650$	1.70913	+	1.97244i	0.0670376	+	0.0773655i
$651$	−9.01144	+	2.85810i	−0.353186	+	0.112018i
$652$	11.7590	+	3.45276i	0.460519	+	0.135220i
$653$	−15.2057	−	7.83906i	−0.595044	−	0.306766i	0.134271	−	0.990945i	$-0.457131\pi$
$653$	−15.2057	−	7.83906i	−0.595044	−	0.306766i	−0.729315	+	0.684178i	$0.760161\pi$
$654$	−0.560923	−	0.441114i	−0.0219338	−	0.0172489i
$655$	12.5644	+	17.6443i	0.490934	+	0.689420i
$656$	−35.5534	+	3.39494i	−1.38813	+	0.132550i
$657$	1.77066	−	12.3152i	0.0690800	−	0.480462i
$658$	0.193196	−	0.599670i	0.00753157	−	0.0233776i
$659$	−11.8268	−	3.47267i	−0.460708	−	0.135276i	0.0431386	−	0.999069i	$-0.486264\pi$
$659$	−11.8268	−	3.47267i	−0.460708	−	0.135276i	−0.503847	+	0.863793i	$0.668082\pi$
$660$	−6.57814	+	5.17311i	−0.256054	+	0.201363i
$661$	44.1379	−	8.50688i	1.71676	−	0.330879i	0.766481	−	0.642267i	$-0.222006\pi$
$661$	44.1379	−	8.50688i	1.71676	−	0.330879i	0.950283	+	0.311387i	$0.100794\pi$
$662$	3.83302	−	1.97606i	0.148975	−	0.0768018i
$663$	10.6210	+	2.04704i	0.412487	+	0.0795004i
$664$	−1.75841	+	0.516314i	−0.0682394	+	0.0200369i
$665$	−17.9534	−	8.77167i	−0.696202	−	0.340151i
$666$	0.578734			0.0224255
$667$	6.71893	−	45.1052i	0.260158	−	1.74648i
$668$	−9.90168	+	17.1502i	−0.383107	+	0.663561i
$669$	−15.5412	−	1.48400i	−0.600857	−	0.0573749i
$670$	1.45635	+	1.38863i	0.0562638	+	0.0536474i
$671$	16.7456	−	19.3255i	0.646457	−	0.746052i
$672$	−1.95905	+	4.54624i	−0.0755719	+	0.175375i
$673$	−5.46477	−	6.30668i	−0.210651	−	0.243104i	0.640585	−	0.767887i	$-0.278692\pi$
$673$	−5.46477	−	6.30668i	−0.210651	−	0.243104i	−0.851236	+	0.524783i	$0.824147\pi$
$674$	2.34618	−	1.84506i	0.0903716	−	0.0710690i
$675$	−2.36268	+	2.25281i	−0.0909396	+	0.0867108i
$676$	−1.16692	−	24.4967i	−0.0448816	−	0.942181i
$677$	21.3685	−	8.55468i	0.821260	−	0.328783i	0.0773007	−	0.997008i	$-0.475370\pi$
$677$	21.3685	−	8.55468i	0.821260	−	0.328783i	0.743959	+	0.668225i	$0.232946\pi$
$678$	−0.945286	+	2.06989i	−0.0363035	+	0.0794936i
$679$	13.9829	−	13.9195i	0.536613	−	0.534181i
$680$	0.253521	−	1.76328i	0.00972210	−	0.0676187i
$681$	−6.51897	−	3.36076i	−0.249807	−	0.128785i
$682$	1.31910	−	1.25776i	0.0505108	−	0.0481619i
$683$	−18.0632	−	7.23142i	−0.691170	−	0.276703i	−0.000633071	−	1.00000i	$-0.500202\pi$
$683$	−18.0632	−	7.23142i	−0.691170	−	0.276703i	−0.690537	+	0.723297i	$0.742626\pi$
$684$	3.70298	−	10.6991i	0.141587	−	0.409089i
$685$	15.0210	+	9.65342i	0.573923	+	0.368838i
$686$	−0.875129	−	2.80337i	−0.0334126	−	0.107033i
$687$	27.4681	−	8.06535i	1.04797	−	0.307712i
$688$	15.4336	−	21.6735i	0.588402	−	0.826295i
$689$	11.7890	−	20.4192i	0.449127	−	0.777910i
$690$	0.982750	+	0.194587i	0.0374126	+	0.00740779i
$691$	−16.7534	−	29.0178i	−0.637330	−	1.10389i	−0.986016	−	0.166648i	$-0.946705\pi$
$691$	−16.7534	−	29.0178i	−0.637330	−	1.10389i	0.348686	−	0.937239i	$-0.386628\pi$
$692$	−16.5806	−	36.3064i	−0.630298	−	1.38016i
$693$	8.48754	+	0.626424i	0.322415	+	0.0237959i
$694$	−2.08884	+	2.41065i	−0.0792912	+	0.0915069i
$695$	−0.906095	+	19.0213i	−0.0343701	+	0.721518i
$696$	5.88512	−	1.13426i	0.223075	−	0.0429942i
$697$	−18.4779	−	7.39742i	−0.699899	−	0.280197i
$698$	0.616815	+	2.54255i	0.0233468	+	0.0962369i
$699$	18.5474	−	11.9197i	0.701527	−	0.450844i
$700$	17.0533	−	0.367185i	0.644556	−	0.0138783i
$701$	14.0351	−	30.7327i	0.530100	−	1.16076i	−0.435372	−	0.900251i	$-0.643383\pi$
$701$	14.0351	−	30.7327i	0.530100	−	1.16076i	0.965472	−	0.260507i	$-0.0838897\pi$
$702$	−0.795846	+	0.0759941i	−0.0300373	+	0.00286821i
$703$	16.4469	+	12.9340i	0.620305	+	0.487814i
$704$	1.13306	+	23.7858i	0.0427037	+	0.896462i
$705$	0.466394	+	1.92250i	0.0175654	+	0.0724056i
$706$	0.428706	+	2.98171i	0.0161346	+	0.112218i
$707$	−3.18284	−	0.542658i	−0.119703	−	0.0204088i
$708$	−16.5529	−	10.6379i	−0.622096	−	0.399797i
$709$	−29.1568	−	5.61952i	−1.09501	−	0.211045i	−0.390402	−	0.920645i	$-0.627664\pi$
$709$	−29.1568	−	5.61952i	−1.09501	−	0.211045i	−0.704606	+	0.709599i	$0.748876\pi$
$710$	0.343175	−	1.41459i	0.0128791	−	0.0530885i
$711$	12.2914	+	1.17368i	0.460962	+	0.0440165i
$712$	−3.65702	−	6.33415i	−0.137053	−	0.237382i
$713$	17.0504	+	1.71547i	0.638544	+	0.0642449i
$714$	−0.695382	+	0.571504i	−0.0260240	+	0.0213880i
$715$	8.87508	+	19.4337i	0.331909	+	0.726780i
$716$	33.9854	+	32.4050i	1.27009	+	1.21103i
$717$	2.36495	+	6.83306i	0.0883205	+	0.255185i
$718$	3.54465	−	1.82739i	0.132285	−	0.0681978i
$719$	−0.213482	+	0.616815i	−0.00796153	+	0.0230033i	−0.948912	−	0.315542i	$-0.897814\pi$
$719$	−0.213482	+	0.616815i	−0.00796153	+	0.0230033i	0.940950	+	0.338545i	$0.109935\pi$
$720$	−0.721751	−	5.01989i	−0.0268981	−	0.187080i
$721$	2.72230	−	22.3378i	0.101384	−	0.831904i
$722$	−1.84981	+	1.18880i	−0.0688430	+	0.0442427i
$723$	−9.99851	+	4.00280i	−0.371849	+	0.148866i
$724$	20.4300	+	28.6899i	0.759275	+	1.06625i
$725$	−18.0063	−	25.2863i	−0.668738	−	0.939111i
$726$	0.0960923	−	0.0384695i	0.00356632	−	0.00142774i
$727$	26.2805	−	16.8895i	0.974692	−	0.626396i	0.0466652	−	0.998911i	$-0.485141\pi$
$727$	26.2805	−	16.8895i	0.974692	−	0.626396i	0.928026	+	0.372514i	$0.121504\pi$
$728$	6.71914	+	5.05374i	0.249028	+	0.187304i
$729$	−0.142315	−	0.989821i	−0.00527092	−	0.0366601i
$730$	−0.850065	+	2.45610i	−0.0314623	+	0.0909044i
$731$	13.1795	−	6.79450i	0.487461	−	0.251304i
$732$	5.13467	+	14.8357i	0.189783	+	0.548342i
$733$	33.4903	+	31.9329i	1.23699	+	1.17947i	0.976856	+	0.213897i	$0.0686156\pi$
$733$	33.4903	+	31.9329i	1.23699	+	1.17947i	0.260135	+	0.965572i	$0.416233\pi$
$734$	1.04715	+	2.29294i	0.0386510	+	0.0846339i
$735$	6.94163	+	6.07040i	0.256046	+	0.223910i
$736$	6.52563	−	6.15926i	0.240538	−	0.227033i
$737$	−15.4932	−	26.8350i	−0.570698	−	0.988478i
$738$	1.46444	+	0.139838i	0.0539070	+	0.00514749i
$739$	−4.86963	+	20.0729i	−0.179132	+	0.738393i	0.809384	+	0.587280i	$0.199801\pi$
$739$	−4.86963	+	20.0729i	−0.179132	+	0.738393i	−0.988516	+	0.151114i	$0.951714\pi$
$740$	9.32334	+	1.79693i	0.342733	+	0.0660563i
$741$	−24.3153	−	15.6265i	−0.893244	−	0.574053i
$742$	0.681488	+	1.83989i	0.0250182	+	0.0675446i
$743$	4.14829	+	28.8520i	0.152186	+	1.05848i	0.912546	+	0.408975i	$0.134114\pi$
$743$	4.14829	+	28.8520i	0.152186	+	1.05848i	−0.760360	+	0.649502i	$0.774977\pi$
$744$	0.530975	+	2.18871i	0.0194665	+	0.0802420i
$745$	0.864137	+	18.1405i	0.0316595	+	0.664615i
$746$	−1.80185	−	1.41699i	−0.0659704	−	0.0518797i
$747$	−2.89440	+	0.276382i	−0.105901	+	0.0101123i
$748$	−5.66166	+	12.3973i	−0.207011	+	0.453290i
$749$	24.9546	−	0.537311i	0.911820	−	0.0196329i
$750$	1.45237	−	0.933380i	0.0530330	−	0.0340822i
$751$	−4.20736	−	17.3430i	−0.153529	−	0.632854i	−0.995618	−	0.0935157i	$-0.970189\pi$
$751$	−4.20736	−	17.3430i	−0.153529	−	0.632854i	0.842089	−	0.539339i	$-0.181326\pi$
$752$	5.36704	+	2.14864i	0.195716	+	0.0783528i
$753$	−7.17202	+	1.38229i	−0.261363	+	0.0503736i
$754$	0.361718	−	7.59339i	0.0131730	−	0.276535i
$755$	−0.214330	+	0.247350i	−0.00780025	+	0.00900197i
$756$	−2.93846	+	4.32040i	−0.106871	+	0.157131i
$757$	8.19877	+	17.9528i	0.297989	+	0.652506i	0.998106	−	0.0615232i	$-0.0195958\pi$
$757$	8.19877	+	17.9528i	0.297989	+	0.652506i	−0.700116	+	0.714029i	$0.746869\pi$
$758$	−1.48963	−	2.58012i	−0.0541058	−	0.0937140i
$759$	−13.6759	−	7.13847i	−0.496402	−	0.259110i
$760$	−2.38012	+	4.12249i	−0.0863361	+	0.149539i
$761$	−5.41529	+	7.60471i	−0.196304	+	0.275671i	−0.900982	−	0.433857i	$-0.857152\pi$
$761$	−5.41529	+	7.60471i	−0.196304	+	0.275671i	0.704678	+	0.709528i	$0.251092\pi$
$762$	−1.33748	+	0.392720i	−0.0484518	+	0.0142267i
$763$	−0.310380	+	11.9022i	−0.0112365	+	0.430888i
$764$	35.8027	+	23.0090i	1.29530	+	0.832437i
$765$	0.924389	−	2.67085i	0.0334214	−	0.0965647i
$766$	0.633319	+	0.253543i	0.0228828	+	0.00916087i
$767$	−36.3551	+	34.6645i	−1.31271	+	1.25166i
$768$	−12.4669	−	6.42714i	−0.449861	−	0.231919i
$769$	1.52559	−	10.6107i	0.0550142	−	0.382632i	−0.943649	−	0.330947i	$-0.892632\pi$
$769$	1.52559	−	10.6107i	0.0550142	−	0.382632i	0.998663	−	0.0516850i	$-0.0164592\pi$
$770$	−1.71621	−	0.464037i	−0.0618478	−	0.0167227i
$771$	11.0241	−	24.1395i	0.397024	−	0.869362i
$772$	21.9988	−	8.80701i	0.791756	−	0.316971i

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.y (of order \(33\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0919807 + 0.129169i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.645912 + 1.86624i) q^{4} +(0.0626824 - 1.31586i) q^{5} +(0.103842 + 0.119841i) q^{6} +(0.568266 - 2.58400i) q^{7} +(-0.604769 - 0.177576i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\)	\(q+(-0.0919807 + 0.129169i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.645912 + 1.86624i) q^{4} +(0.0626824 - 1.31586i) q^{5} +(0.103842 + 0.119841i) q^{6} +(0.568266 - 2.58400i) q^{7} +(-0.604769 - 0.177576i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(0.164203 + 0.129131i) q^{10} +(-1.86588 - 2.62026i) q^{11} +(1.96591 - 0.187722i) q^{12} +(0.717504 - 4.99035i) q^{13} +(0.281503 + 0.311081i) q^{14} +(-1.26399 - 0.371142i) q^{15} +(-3.02612 + 2.37977i) q^{16} +(-2.10666 + 0.406024i) q^{17} +(0.140944 - 0.0726618i) q^{18} +(5.62935 + 1.08497i) q^{19} +(2.49621 - 0.732952i) q^{20} +(-2.37719 - 1.16145i) q^{21} +0.510081 q^{22} +(3.12217 + 3.64034i) q^{23} +(-0.315150 + 0.545856i) q^{24} +(3.24979 + 0.310317i) q^{25} +(0.578601 + 0.551695i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(5.18942 - 0.608517i) q^{28} +(-6.22697 - 7.18631i) q^{29} +(0.164203 - 0.129131i) q^{30} +(2.58605 - 2.46580i) q^{31} +(-0.0890288 - 1.86894i) q^{32} +(-2.98630 + 1.19553i) q^{33} +(0.141326 - 0.309461i) q^{34} +(-3.36458 - 0.909733i) q^{35} +(0.281051 - 1.95475i) q^{36} +(3.24395 + 1.67237i) q^{37} +(-0.657936 + 0.627341i) q^{38} +(-4.68052 - 1.87380i) q^{39} +(-0.271574 + 0.784663i) q^{40} +(7.80449 + 5.01564i) q^{41} +(0.368679 - 0.200228i) q^{42} +(-6.63141 + 1.94716i) q^{43} +(3.68484 - 5.17463i) q^{44} +(-0.658678 + 1.14086i) q^{45} +(-0.757397 + 0.0684462i) q^{46} +(-0.750846 - 1.30050i) q^{47} +(1.59925 + 3.50187i) q^{48} +(-6.35415 - 2.93680i) q^{49} +(-0.339001 + 0.391228i) q^{50} +(-0.102083 + 2.14300i) q^{51} +(9.77663 - 1.88429i) q^{52} +(4.34165 + 1.73813i) q^{53} +(-0.0373847 - 0.154102i) q^{54} +(-3.56486 + 2.29100i) q^{55} +(-0.802527 + 1.46181i) q^{56} +(2.38156 - 5.21488i) q^{57} +(1.50101 - 0.143329i) q^{58} +(-7.83184 - 6.15903i) q^{59} +(-0.123789 - 2.59864i) q^{60} +(1.87416 + 7.72541i) q^{61} +(0.0806371 + 0.560843i) q^{62} +(-1.68915 + 2.03636i) q^{63} +(-6.22765 - 4.00227i) q^{64} +(-6.52165 - 1.25694i) q^{65} +(0.120256 - 0.495702i) q^{66} +(9.58930 + 0.915667i) q^{67} +(-2.11845 - 3.66927i) q^{68} +(4.27380 - 2.17592i) q^{69} +(0.426985 - 0.350921i) q^{70} +(-2.89468 - 6.33846i) q^{71} +(0.456170 + 0.434957i) q^{72} +(4.06933 + 11.7575i) q^{73} +(-0.514399 + 0.265191i) q^{74} +(1.06774 - 3.08502i) q^{75} +(1.61125 + 11.2065i) q^{76} +(-7.83107 + 3.33243i) q^{77} +(0.672554 - 0.432224i) q^{78} +(-11.4628 + 4.58902i) q^{79} +(2.94176 + 4.13113i) q^{80} +(0.580057 + 0.814576i) q^{81} +(-1.36573 + 0.546755i) q^{82} +(2.44600 - 1.57195i) q^{83} +(0.632088 - 5.18660i) q^{84} +(0.402223 + 2.79752i) q^{85} +(0.358450 - 1.03567i) q^{86} +(-8.45180 + 4.35721i) q^{87} +(0.663129 + 1.91599i) q^{88} +(8.39826 + 8.00773i) q^{89} +(-0.0867784 - 0.190018i) q^{90} +(-12.4873 - 4.68988i) q^{91} +(-4.77710 + 8.17805i) q^{92} +(-1.78661 - 3.09449i) q^{93} +(0.237048 + 0.0226353i) q^{94} +(1.78053 - 7.33946i) q^{95} +(-1.83725 - 0.354101i) q^{96} +(6.27343 + 4.03169i) q^{97} +(0.963802 - 0.550628i) q^{98} +(0.457786 + 3.18397i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \)	\( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Introduction

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