LMFDB - Embedded newform 392.2.z.a.109.2

Newspace parameters

Level:	$ N $	$=$	$ 392 = 2^{3} \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	392.z (of order $42$, degree $12$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$3.13013575923$
Analytic rank:	$0$
Dimension:	$648$
Relative dimension:	$54$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			109.2
Character	$\chi$	$=$	392.109
Dual form			392.2.z.a.205.2

$q$-expansion

$f(q)$	$=$	$q+(-1.41279 + 0.0633787i) q^{2} +(-0.0286441 - 0.190041i) q^{3} +(1.99197 - 0.179082i) q^{4} +(-3.07037 - 1.20503i) q^{5} +(0.0525127 + 0.266673i) q^{6} +(0.384038 - 2.61773i) q^{7} +(-2.80289 + 0.379254i) q^{8} +(2.83142 - 0.873378i) q^{9} +O(q^{10})$	\(q+(-1.41279 + 0.0633787i) q^{2} +(-0.0286441 - 0.190041i) q^{3} +(1.99197 - 0.179082i) q^{4} +(-3.07037 - 1.20503i) q^{5} +(0.0525127 + 0.266673i) q^{6} +(0.384038 - 2.61773i) q^{7} +(-2.80289 + 0.379254i) q^{8} +(2.83142 - 0.873378i) q^{9} +(4.41417 + 1.50786i) q^{10} +(-0.799625 + 2.59232i) q^{11} +(-0.0910909 - 0.373426i) q^{12} +(-2.39344 + 0.546288i) q^{13} +(-0.376657 + 3.72265i) q^{14} +(-0.141057 + 0.618013i) q^{15} +(3.93586 - 0.713450i) q^{16} +(-4.97960 + 3.39504i) q^{17} +(-3.94486 + 1.41335i) q^{18} +(-2.12167 + 1.22495i) q^{19} +(-6.33187 - 1.85053i) q^{20} +(-0.508477 + 0.00199956i) q^{21} +(0.965406 - 3.71309i) q^{22} +(-4.24195 - 2.89212i) q^{23} +(0.152360 + 0.521800i) q^{24} +(4.30980 + 3.99891i) q^{25} +(3.34682 - 0.923485i) q^{26} +(-0.497242 - 1.03253i) q^{27} +(0.296202 - 5.28321i) q^{28} +(2.12183 - 4.40602i) q^{29} +(0.160116 - 0.882064i) q^{30} +(-2.86186 + 4.95689i) q^{31} +(-5.51534 + 1.25741i) q^{32} +(0.515551 + 0.0777069i) q^{33} +(6.81997 - 5.11208i) q^{34} +(-4.33358 + 7.57462i) q^{35} +(5.48369 - 2.24680i) q^{36} +(-3.51280 + 0.263248i) q^{37} +(2.91984 - 1.86506i) q^{38} +(0.172375 + 0.439205i) q^{39} +(9.06290 + 2.21311i) q^{40} +(-1.26219 - 1.58274i) q^{41} +(0.718245 - 0.0350515i) q^{42} +(-8.29503 - 6.61506i) q^{43} +(-1.12859 + 5.30701i) q^{44} +(-9.74596 - 0.730359i) q^{45} +(6.17630 + 3.81711i) q^{46} +(-4.91600 + 4.56138i) q^{47} +(-0.248324 - 0.727539i) q^{48} +(-6.70503 - 2.01061i) q^{49} +(-6.34230 - 5.37648i) q^{50} +(0.787832 + 0.849081i) q^{51} +(-4.66983 + 1.51681i) q^{52} +(11.7885 + 0.883424i) q^{53} +(0.767941 + 1.42724i) q^{54} +(5.57897 - 6.99580i) q^{55} +(-0.0836298 + 7.48285i) q^{56} +(0.293563 + 0.368116i) q^{57} +(-2.71845 + 6.35927i) q^{58} +(-8.66453 + 3.40058i) q^{59} +(-0.170307 + 1.25632i) q^{60} +(2.16600 - 0.162320i) q^{61} +(3.72905 - 7.18443i) q^{62} +(-1.19890 - 7.74731i) q^{63} +(7.71233 - 2.12601i) q^{64} +(8.00705 + 1.20687i) q^{65} +(-0.733292 - 0.0771088i) q^{66} +(4.07561 + 2.35306i) q^{67} +(-9.31121 + 7.65455i) q^{68} +(-0.428114 + 0.888987i) q^{69} +(5.64239 - 10.9760i) q^{70} +(-7.32647 + 3.52824i) q^{71} +(-7.60492 + 3.52181i) q^{72} +(1.71039 + 1.58701i) q^{73} +(4.94618 - 0.594552i) q^{74} +(0.636507 - 0.933584i) q^{75} +(-4.00693 + 2.82000i) q^{76} +(6.47891 + 3.08875i) q^{77} +(-0.271366 - 0.609580i) q^{78} +(-4.47482 - 7.75061i) q^{79} +(-12.9443 - 2.55228i) q^{80} +(7.16261 - 4.88339i) q^{81} +(1.88353 + 2.15609i) q^{82} +(3.55762 + 0.812003i) q^{83} +(-1.01251 + 0.0950420i) q^{84} +(19.3803 - 4.42343i) q^{85} +(12.1384 + 8.81999i) q^{86} +(-0.898102 - 0.277028i) q^{87} +(1.25811 - 7.56923i) q^{88} +(14.8093 - 4.56807i) q^{89} +(13.8153 + 0.414160i) q^{90} +(0.510862 + 6.47519i) q^{91} +(-8.96776 - 5.00134i) q^{92} +(1.02399 + 0.401885i) q^{93} +(6.65619 - 6.75585i) q^{94} +(7.99040 - 1.20436i) q^{95} +(0.396940 + 1.01212i) q^{96} +8.27599 q^{97} +(9.60025 + 2.41563i) q^{98} +8.03833i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} + O(q^{10}) $	$ 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98} + O(q^{100}) $

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/392\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$297$
$\chi(n)$	$-1$	$1$	$e\left(\frac{20}{21}\right)$

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 $

$2$	−1.41279	+	0.0633787i	−0.998995	+	0.0448155i
$2$	−1.41279	+	0.0633787i	−0.998995	+	0.0448155i
$3$	−0.0286441	−	0.190041i	−0.0165377	−	0.109720i	0.979039	−	0.203673i	$-0.0652879\pi$
$3$	−0.0286441	−	0.190041i	−0.0165377	−	0.109720i	−0.995577	+	0.0939526i	$0.970050\pi$
$4$	1.99197	−	0.179082i	0.995983	−	0.0895409i
$5$	−3.07037	−	1.20503i	−1.37311	−	0.538906i	−0.439838	−	0.898077i	$-0.644964\pi$
$5$	−3.07037	−	1.20503i	−1.37311	−	0.538906i	−0.933272	+	0.359171i	$0.883060\pi$
$6$	0.0525127	+	0.266673i	0.0214382	+	0.108869i
$7$	0.384038	−	2.61773i	0.145153	−	0.989409i
$7$	0.384038	−	2.61773i	0.145153	−	0.989409i
$8$	−2.80289	+	0.379254i	−0.990970	+	0.134086i
$9$	2.83142	−	0.873378i	0.943808	−	0.291126i
$10$	4.41417	+	1.50786i	1.39588	+	0.476828i
$11$	−0.799625	+	2.59232i	−0.241096	+	0.781614i	0.751455	+	0.659784i	$0.229352\pi$
$11$	−0.799625	+	2.59232i	−0.241096	+	0.781614i	−0.992551	+	0.121829i	$0.961124\pi$
$12$	−0.0910909	−	0.373426i	−0.0262957	−	0.107799i
$13$	−2.39344	+	0.546288i	−0.663822	+	0.151513i	−0.541139	−	0.840933i	$-0.682007\pi$
$13$	−2.39344	+	0.546288i	−0.663822	+	0.151513i	−0.122683	+	0.992446i	$0.539150\pi$
$14$	−0.376657	+	3.72265i	−0.100666	+	0.994920i
$15$	−0.141057	+	0.618013i	−0.0364209	+	0.159570i
$16$	3.93586	−	0.713450i	0.983965	−	0.178362i
$17$	−4.97960	+	3.39504i	−1.20773	+	0.823417i	−0.988346	−	0.152221i	$-0.951357\pi$
$17$	−4.97960	+	3.39504i	−1.20773	+	0.823417i	−0.219385	+	0.975638i	$0.570405\pi$
$18$	−3.94486	+	1.41335i	−0.929813	+	0.333131i
$19$	−2.12167	+	1.22495i	−0.486744	+	0.281022i	−0.723223	−	0.690615i	$-0.757340\pi$
$19$	−2.12167	+	1.22495i	−0.486744	+	0.281022i	0.236479	+	0.971637i	$0.424007\pi$
$20$	−6.33187	−	1.85053i	−1.41585	−	0.413792i
$21$	−0.508477	+	0.00199956i	−0.110959	+	0.000436339i
$22$	0.965406	−	3.71309i	0.205825	−	0.791633i
$23$	−4.24195	−	2.89212i	−0.884509	−	0.603048i	0.0335742	−	0.999436i	$-0.489311\pi$
$23$	−4.24195	−	2.89212i	−0.884509	−	0.603048i	−0.918083	+	0.396388i	$0.870263\pi$
$24$	0.152360	+	0.521800i	0.0311003	+	0.106512i
$25$	4.30980	+	3.99891i	0.861960	+	0.799782i
$26$	3.34682	−	0.923485i	0.656365	−	0.181110i
$27$	−0.497242	−	1.03253i	−0.0956944	−	0.198711i
$28$	0.296202	−	5.28321i	0.0559770	−	0.998432i
$29$	2.12183	−	4.40602i	0.394013	−	0.818177i	−0.605733	−	0.795668i	$-0.707120\pi$
$29$	2.12183	−	4.40602i	0.394013	−	0.818177i	0.999747	−	0.0225095i	$-0.00716561\pi$
$30$	0.160116	−	0.882064i	0.0292331	−	0.161042i
$31$	−2.86186	+	4.95689i	−0.514005	+	0.890283i	0.485863	+	0.874035i	$0.338505\pi$
$31$	−2.86186	+	4.95689i	−0.514005	+	0.890283i	−0.999868	+	0.0162480i	$0.994828\pi$
$32$	−5.51534	+	1.25741i	−0.974983	+	0.222280i
$33$	0.515551	+	0.0777069i	0.0897460	+	0.0135270i
$34$	6.81997	−	5.11208i	1.16962	−	0.876715i
$35$	−4.33358	+	7.57462i	−0.732509	+	1.28034i
$36$	5.48369	−	2.24680i	0.913949	−	0.374466i
$37$	−3.51280	+	0.263248i	−0.577501	+	0.0432777i	−0.360279	−	0.932845i	$-0.617319\pi$
$37$	−3.51280	+	0.263248i	−0.577501	+	0.0432777i	−0.217222	+	0.976122i	$0.569700\pi$
$38$	2.91984	−	1.86506i	0.473661	−	0.302553i
$39$	0.172375	+	0.439205i	0.0276021	+	0.0703290i
$40$	9.06290	+	2.21311i	1.43297	+	0.349924i
$41$	−1.26219	−	1.58274i	−0.197121	−	0.247183i	0.673440	−	0.739242i	$-0.264816\pi$
$41$	−1.26219	−	1.58274i	−0.197121	−	0.247183i	−0.870562	+	0.492059i	$0.836244\pi$
$42$	0.718245	−	0.0350515i	0.110828	−	0.00540857i
$43$	−8.29503	−	6.61506i	−1.26498	−	1.00879i	−0.998995	−	0.0448107i	$-0.985732\pi$
$43$	−8.29503	−	6.61506i	−1.26498	−	1.00879i	−0.265985	−	0.963977i	$-0.585697\pi$
$44$	−1.12859	+	5.30701i	−0.170141	+	0.800062i
$45$	−9.74596	−	0.730359i	−1.45284	−	0.108875i
$46$	6.17630	+	3.81711i	0.910646	+	0.562802i
$47$	−4.91600	+	4.56138i	−0.717072	+	0.665345i	−0.951801	−	0.306715i	$-0.900770\pi$
$47$	−4.91600	+	4.56138i	−0.717072	+	0.665345i	0.234730	+	0.972061i	$0.424580\pi$
$48$	−0.248324	−	0.727539i	−0.0358425	−	0.105011i
$49$	−6.70503	−	2.01061i	−0.957861	−	0.287231i
$50$	−6.34230	−	5.37648i	−0.896937	−	0.760350i
$51$	0.787832	+	0.849081i	0.110319	+	0.118895i
$52$	−4.66983	+	1.51681i	−0.647589	+	0.210344i
$53$	11.7885	+	0.883424i	1.61927	+	0.121348i	0.853262	−	0.521483i	$-0.174621\pi$
$53$	11.7885	+	0.883424i	1.61927	+	0.121348i	0.766009	+	0.642830i	$0.222240\pi$
$54$	0.767941	+	1.42724i	0.104504	+	0.194223i
$55$	5.57897	−	6.99580i	0.752268	−	0.943314i
$56$	−0.0836298	+	7.48285i	−0.0111755	+	0.999938i
$57$	0.293563	+	0.368116i	0.0388834	+	0.0487582i
$58$	−2.71845	+	6.35927i	−0.356951	+	0.835013i
$59$	−8.66453	+	3.40058i	−1.12803	+	0.442717i	−0.854657	−	0.519192i	$-0.826233\pi$
$59$	−8.66453	+	3.40058i	−1.12803	+	0.442717i	−0.273368	+	0.961910i	$0.588138\pi$
$60$	−0.170307	+	1.25632i	−0.0219865	+	0.162190i
$61$	2.16600	−	0.162320i	0.277328	−	0.0207829i	0.0646601	−	0.997907i	$-0.479404\pi$
$61$	2.16600	−	0.162320i	0.277328	−	0.0207829i	0.212668	+	0.977124i	$0.431785\pi$
$62$	3.72905	−	7.18443i	0.473590	−	0.912424i
$63$	−1.19890	−	7.74731i	−0.151047	−	0.976070i
$64$	7.71233	−	2.12601i	0.964042	−	0.265751i
$65$	8.00705	+	1.20687i	0.993152	+	0.149694i
$66$	−0.733292	−	0.0771088i	−0.0902620	−	0.00949143i
$67$	4.07561	+	2.35306i	0.497915	+	0.287471i	0.727852	−	0.685734i	$-0.240519\pi$
$67$	4.07561	+	2.35306i	0.497915	+	0.287471i	−0.229937	+	0.973206i	$0.573852\pi$
$68$	−9.31121	+	7.65455i	−1.12915	+	0.928251i
$69$	−0.428114	+	0.888987i	−0.0515388	+	0.107022i
$70$	5.64239	−	10.9760i	0.674394	−	1.31189i
$71$	−7.32647	+	3.52824i	−0.869491	+	0.418725i	−0.814775	−	0.579777i	$-0.803140\pi$
$71$	−7.32647	+	3.52824i	−0.869491	+	0.418725i	−0.0547162	+	0.998502i	$0.517425\pi$
$72$	−7.60492	+	3.52181i	−0.896249	+	0.415049i
$73$	1.71039	+	1.58701i	0.200186	+	0.185746i	0.773896	−	0.633313i	$-0.218306\pi$
$73$	1.71039	+	1.58701i	0.200186	+	0.185746i	−0.573709	+	0.819059i	$0.694496\pi$
$74$	4.94618	−	0.594552i	0.574981	−	0.0691152i
$75$	0.636507	−	0.933584i	0.0734975	−	0.107801i
$76$	−4.00693	+	2.82000i	−0.459626	+	0.323476i
$77$	6.47891	+	3.08875i	0.738340	+	0.351996i
$78$	−0.271366	−	0.609580i	−0.0307262	−	0.0690214i
$79$	−4.47482	−	7.75061i	−0.503456	−	0.872012i	−0.999992	−	0.00399575i	$-0.998728\pi$
$79$	−4.47482	−	7.75061i	−0.503456	−	0.872012i	0.496536	−	0.868016i	$-0.334605\pi$
$80$	−12.9443	−	2.55228i	−1.44721	−	0.285353i
$81$	7.16261	−	4.88339i	0.795846	−	0.542599i
$82$	1.88353	+	2.15609i	0.208001	+	0.238100i
$83$	3.55762	+	0.812003i	0.390499	+	0.0891289i	0.413262	−	0.910612i	$-0.364389\pi$
$83$	3.55762	+	0.812003i	0.390499	+	0.0891289i	−0.0227631	+	0.999741i	$0.507246\pi$
$84$	−1.01251	+	0.0950420i	−0.110474	+	0.0103699i
$85$	19.3803	−	4.42343i	2.10209	−	0.479789i
$86$	12.1384	+	8.81999i	1.30892	+	0.951084i
$87$	−0.898102	−	0.277028i	−0.0962867	−	0.0297005i
$88$	1.25811	−	7.56923i	0.134115	−	0.806883i
$89$	14.8093	−	4.56807i	1.56978	−	0.484214i	0.616771	−	0.787142i	$-0.288440\pi$
$89$	14.8093	−	4.56807i	1.56978	−	0.484214i	0.953013	+	0.302928i	$0.0979642\pi$
$90$	13.8153	+	0.414160i	1.45626	+	0.0436562i
$91$	0.510862	+	6.47519i	0.0535529	+	0.678784i
$92$	−8.96776	−	5.00134i	−0.934953	−	0.521426i
$93$	1.02399	+	0.401885i	0.106183	+	0.0416736i
$94$	6.65619	−	6.75585i	0.686533	−	0.696813i
$95$	7.99040	−	1.20436i	0.819797	−	0.123565i
$96$	0.396940	+	1.01212i	0.0405126	+	0.103299i
$97$	8.27599			0.840299			0.420150	−	0.907455i	$-0.361978\pi$
$97$	8.27599			0.840299			0.420150	+	0.907455i	$0.361978\pi$
$98$	9.60025	+	2.41563i	0.969771	+	0.244015i
$99$			8.03833i			0.807882i
$100$	9.30111	+	7.19389i	0.930111	+	0.719389i
$101$	−2.04445	−	13.5641i	−0.203431	−	1.34968i	−0.824474	−	0.565899i	$-0.808529\pi$
$101$	−2.04445	−	13.5641i	−0.203431	−	1.34968i	0.621044	−	0.783776i	$-0.286709\pi$
$102$	−1.16686	−	1.14964i	−0.115536	−	0.113832i
$103$	1.00863	−	2.56994i	0.0993830	−	0.253224i	−0.872532	−	0.488558i	$-0.837523\pi$
$103$	1.00863	−	2.56994i	0.0993830	−	0.253224i	0.971915	+	0.235334i	$0.0756184\pi$
$104$	6.50137	−	2.43890i	0.637511	−	0.239154i
$105$	1.56362	+	0.606591i	0.152594	+	0.0591972i
$106$	−16.7107	−	0.500957i	−1.62308	−	0.0486572i
$107$	−0.338042	−	1.09590i	−0.0326797	−	0.105945i	0.937764	−	0.347274i	$-0.112893\pi$
$107$	−0.338042	−	1.09590i	−0.0326797	−	0.105945i	−0.970443	+	0.241329i	$0.922417\pi$
$108$	−1.17540	−	1.96773i	−0.113103	−	0.189345i
$109$	−1.39320	+	4.51664i	−0.133444	+	0.432616i	−0.997491	−	0.0707962i	$-0.977446\pi$
$109$	−1.39320	+	4.51664i	−0.133444	+	0.432616i	0.864047	+	0.503412i	$0.167922\pi$
$110$	−7.43854	+	10.2372i	−0.709237	+	0.976079i
$111$	0.150649	+	0.660036i	0.0142990	+	0.0626478i
$112$	−0.356101	−	10.5770i	−0.0336484	−	0.999434i
$113$	−0.957673	+	4.19584i	−0.0900903	+	0.394711i	−0.999789	−	0.0205583i	$-0.993456\pi$
$113$	−0.957673	+	4.19584i	−0.0900903	+	0.394711i	0.909698	+	0.415270i	$0.136313\pi$
$114$	−0.438075	−	0.501467i	−0.0410294	−	0.0469667i
$115$	9.53927	+	13.9915i	0.889542	+	1.30472i
$116$	3.43757	−	9.15662i	0.319170	−	0.850171i
$117$	−6.29974	+	3.63715i	−0.582411	+	0.336255i
$118$	12.0257	−	5.35345i	1.10705	−	0.492825i
$119$	6.97493	+	14.3391i	0.639391	+	1.31446i
$120$	0.160984	−	1.78572i	0.0146958	−	0.163013i
$121$	3.00791	+	2.05076i	0.273446	+	0.186432i
$122$	−3.04983	+	0.366602i	−0.276118	+	0.0331906i
$123$	−0.264631	+	0.285205i	−0.0238610	+	0.0257160i
$124$	−4.81304	+	10.3865i	−0.432224	+	0.932731i
$125$	−1.25832	−	2.61292i	−0.112547	−	0.233707i
$126$	2.18481	+	10.8694i	0.194638	+	0.968320i
$127$	−15.0001	−	7.22368i	−1.33105	−	0.640998i	−0.373058	−	0.927808i	$-0.621691\pi$
$127$	−15.0001	−	7.22368i	−1.33105	−	0.640998i	−0.957988	+	0.286810i	$0.907405\pi$
$128$	−10.7612	+	3.49241i	−0.951163	+	0.308688i
$129$	−1.01953	+	1.76588i	−0.0897646	+	0.155477i
$130$	−11.3888	−	1.19758i	−0.998863	−	0.105035i
$131$	2.74134	−	18.1876i	0.239512	−	1.58906i	−0.468896	−	0.883253i	$-0.655348\pi$
$131$	2.74134	−	18.1876i	0.239512	−	1.58906i	0.708408	−	0.705803i	$-0.249414\pi$
$132$	1.04088	+	0.0624636i	0.0905967	+	0.00543676i
$133$	2.39178	+	6.02438i	0.207393	+	0.522380i
$134$	−5.90713	−	3.06607i	−0.510298	−	0.264868i
$135$	0.282481	+	3.76945i	0.0243121	+	0.324423i
$136$	12.6697	−	11.4044i	1.08642	−	0.977922i
$137$	−8.50701	−	21.6755i	−0.726803	−	1.85186i	−0.459193	−	0.888337i	$-0.651861\pi$
$137$	−8.50701	−	21.6755i	−0.726803	−	1.85186i	−0.267610	−	0.963527i	$-0.586234\pi$
$138$	0.548493	−	1.28309i	0.0466908	−	0.109224i
$139$	7.85277	−	6.26237i	0.666063	−	0.531168i	−0.231065	−	0.972938i	$-0.574221\pi$
$139$	7.85277	−	6.26237i	0.666063	−	0.531168i	0.897128	+	0.441771i	$0.145650\pi$
$140$	−7.27587	+	15.8645i	−0.614924	+	1.34079i
$141$	1.00766	+	0.803584i	0.0848605	+	0.0676740i
$142$	10.1272	−	5.44901i	0.849853	−	0.457271i
$143$	0.497704	−	6.64140i	0.0416201	−	0.555381i
$144$	10.5210	−	5.45757i	0.876748	−	0.454798i
$145$	−11.8242	+	10.9712i	−0.981945	+	0.911112i
$146$	−2.51701	−	2.13372i	−0.208310	−	0.176588i
$147$	−0.190040	+	1.33182i	−0.0156742	+	0.109847i
$148$	−6.95024	+	1.15346i	−0.571306	+	0.0948139i
$149$	−6.96226	−	7.50353i	−0.570371	−	0.614713i	0.380320	−	0.924855i	$-0.375814\pi$
$149$	−6.96226	−	7.50353i	−0.570371	−	0.614713i	−0.950690	+	0.310142i	$0.899624\pi$
$150$	−0.840083	+	1.35930i	−0.0685925	+	0.110987i
$151$	−1.10581	+	14.7560i	−0.0899897	+	1.20083i	0.751195	+	0.660081i	$0.229478\pi$
$151$	−1.10581	+	14.7560i	−0.0899897	+	1.20083i	−0.841184	+	0.540749i	$0.818141\pi$
$152$	5.48223	−	4.23803i	0.444667	−	0.343750i
$153$	−11.1342	+	13.9619i	−0.900148	+	1.12875i
$154$	−9.34911	−	3.95314i	−0.753373	−	0.318553i
$155$	14.7602	−	11.7708i	1.18556	−	0.945456i
$156$	0.422019	+	0.844011i	0.0337886	+	0.0675750i
$157$	0.0251994	−	0.00989005i	0.00201113	−	0.000789312i	−0.364335	−	0.931268i	$-0.618704\pi$
$157$	0.0251994	−	0.00989005i	0.00201113	−	0.000789312i	0.366346	+	0.930479i	$0.380609\pi$
$158$	6.81321	+	10.6664i	0.542030	+	0.848573i
$159$	−0.169783	−	2.26560i	−0.0134647	−	0.179674i
$160$	18.4493	+	2.78545i	1.45855	+	0.220209i
$161$	−9.19985	+	9.99361i	−0.725050	+	0.787607i
$162$	−9.80979	+	7.35317i	−0.770730	+	0.577720i
$163$	0.573343	−	3.80388i	0.0449077	−	0.297943i	−0.955091	−	0.296313i	$-0.904243\pi$
$163$	0.573343	−	3.80388i	0.0449077	−	0.297943i	0.999999	−	0.00163022i	$-0.000518917\pi$
$164$	−2.79769	−	2.92673i	−0.218463	−	0.228539i
$165$	−1.48929	−	0.859844i	−0.115941	−	0.0669388i
$166$	−5.07764	−	0.921715i	−0.394101	−	0.0715390i
$167$	−12.0130	−	5.78516i	−0.929594	−	0.447669i	−0.0931073	−	0.995656i	$-0.529680\pi$
$167$	−12.0130	−	5.78516i	−0.929594	−	0.447669i	−0.836487	+	0.547987i	$0.815394\pi$
$168$	1.42444	−	0.198446i	0.109898	−	0.0153105i
$169$	−6.28245	+	3.02547i	−0.483266	+	0.232728i
$170$	−27.1000	+	7.47770i	−2.07848	+	0.573513i
$171$	−4.93750	+	5.32136i	−0.377580	+	0.406934i
$172$	−17.7081	−	11.6915i	−1.35023	−	0.891468i
$173$	9.83790	−	14.4296i	0.747962	−	1.09706i	−0.243908	−	0.969798i	$-0.578429\pi$
$173$	9.83790	−	14.4296i	0.747962	−	1.09706i	0.991869	−	0.127260i	$-0.0406183\pi$
$174$	1.28639	+	0.334462i	0.0975210	+	0.0253555i
$175$	12.1232	−	9.74617i	0.916428	−	0.736741i
$176$	−1.29772	+	10.7735i	−0.0978193	+	0.812083i
$177$	0.894436	+	1.54921i	0.0672299	+	0.116446i
$178$	−20.6330	+	7.39233i	−1.54651	+	0.554079i
$179$	12.4365	+	18.2410i	0.929548	+	1.36340i	0.931634	+	0.363399i	$0.118384\pi$
$179$	12.4365	+	18.2410i	0.929548	+	1.36340i	−0.00208590	+	0.999998i	$0.500664\pi$
$180$	−19.5444	+	0.290474i	−1.45675	+	0.0216507i
$181$	−15.8757	−	3.62353i	−1.18003	−	0.269335i	−0.412871	−	0.910789i	$-0.635474\pi$
$181$	−15.8757	−	3.62353i	−1.18003	−	0.269335i	−0.767161	+	0.641455i	$0.778331\pi$
$182$	−1.13213	−	9.11572i	−0.0839191	−	0.675702i
$183$	−0.0928906	−	0.406980i	−0.00686667	−	0.0300848i
$184$	12.9866	+	6.49749i	0.957382	+	0.479001i
$185$	11.1028	+	3.42477i	0.816295	+	0.251794i
$186$	−1.47215	−	0.502882i	−0.107943	−	0.0368731i
$187$	−4.81920	−	15.6235i	−0.352415	−	1.14250i
$188$	−8.97564	+	9.96648i	−0.654616	+	0.726880i
$189$	−2.89386	+	0.905115i	−0.210497	+	0.0658374i
$190$	−11.2124	+	2.20793i	−0.813436	+	0.160180i
$191$	−1.08676	+	2.76901i	−0.0786350	+	0.200359i	−0.964785	−	0.263040i	$-0.915275\pi$
$191$	−1.08676	+	2.76901i	−0.0786350	+	0.200359i	0.886150	+	0.463399i	$0.153370\pi$
$192$	−0.624942	−	1.40476i	−0.0451013	−	0.101380i
$193$	−7.96408	+	1.20039i	−0.573267	+	0.0864061i	−0.429277	−	0.903173i	$-0.641232\pi$
$193$	−7.96408	+	1.20039i	−0.573267	+	0.0864061i	−0.143990	+	0.989579i	$0.545993\pi$
$194$	−11.6923	+	0.524521i	−0.839455	+	0.0376584i
$195$		−	1.55624i		−	0.111444i
$196$	−13.7163	−	2.80433i	−0.979733	−	0.200309i
$197$		−	2.38636i		−	0.170021i	−0.996380	−	0.0850106i	$-0.972908\pi$
$197$		−	2.38636i		−	0.170021i	0.996380	−	0.0850106i	$-0.0270924\pi$
$198$	−0.509458	−	11.3565i	−0.0362056	−	0.807071i
$199$	−4.67611	+	0.704810i	−0.331480	+	0.0499626i	−0.312674	−	0.949861i	$-0.601225\pi$
$199$	−4.67611	+	0.704810i	−0.331480	+	0.0499626i	−0.0188065	+	0.999823i	$0.505987\pi$
$200$	−13.5965	−	9.57398i	−0.961416	−	0.676983i
$201$	0.330435	−	0.841934i	0.0233071	−	0.0593855i
$202$	3.74806	+	19.0336i	0.263713	+	1.33920i
$203$	−10.7189	−	7.24645i	−0.752320	−	0.508601i
$204$	1.72139	+	1.55025i	0.120521	+	0.108540i
$205$	1.96815	+	6.38058i	0.137461	+	0.445639i
$206$	−1.26210	+	3.69472i	−0.0879348	+	0.257423i
$207$	−14.5367	−	4.48397i	−1.01037	−	0.311658i
$208$	−9.03051	+	3.85771i	−0.626153	+	0.267484i
$209$	−1.47891	−	6.47954i	−0.102298	−	0.448199i
$210$	−2.24752	−	0.757887i	−0.155093	−	0.0522991i
$211$	2.87497	+	0.656192i	0.197921	+	0.0451741i	0.320332	−	0.947305i	$-0.396206\pi$
$211$	2.87497	+	0.656192i	0.197921	+	0.0451741i	−0.122411	+	0.992479i	$0.539063\pi$
$212$	23.6404	−	0.351350i	1.62363	−	0.0241308i
$213$	0.880370	+	1.29127i	0.0603220	+	0.0884761i
$214$	0.547040	+	1.52686i	0.0373949	+	0.104374i
$215$	17.4974	+	30.3064i	1.19332	+	2.06688i
$216$	1.78531	+	2.70550i	0.121475	+	0.184086i
$217$	11.8767	+	9.39521i	0.806245	+	0.637788i
$218$	1.68204	−	6.46938i	0.113922	−	0.438161i
$219$	0.252605	−	0.370503i	0.0170695	−	0.0250363i
$220$	9.86029	−	14.9345i	0.664781	−	1.00688i
$221$	10.0637	−	10.8461i	0.676960	−	0.729589i
$222$	−0.254668	−	0.922946i	−0.0170922	−	0.0619441i
$223$	20.1962	−	9.72600i	1.35244	−	0.651301i	0.389503	−	0.921025i	$-0.372647\pi$
$223$	20.1962	−	9.72600i	1.35244	−	0.651301i	0.962938	+	0.269724i	$0.0869326\pi$
$224$	1.17345	+	14.9206i	0.0784047	+	0.996922i
$225$	15.6954	+	7.55852i	1.04636	+	0.503902i
$226$	1.08707	−	5.98855i	0.0723106	−	0.398352i
$227$	−5.31592	−	3.06915i	−0.352830	−	0.203706i	0.313101	−	0.949720i	$-0.398632\pi$
$227$	−5.31592	−	3.06915i	−0.352830	−	0.203706i	−0.665931	+	0.746013i	$0.731965\pi$
$228$	0.650691	+	0.680704i	0.0430930	+	0.0450807i
$229$	−3.85557	+	25.5801i	−0.254784	+	1.69038i	0.385874	+	0.922552i	$0.373900\pi$
$229$	−3.85557	+	25.5801i	−0.254784	+	1.69038i	−0.640657	+	0.767827i	$0.721338\pi$
$230$	−14.3638	−	19.1626i	−0.947120	−	1.26354i
$231$	0.401407	−	1.31973i	0.0264106	−	0.0868320i
$232$	−4.27624	+	13.1543i	−0.280749	+	0.863621i
$233$	1.65185	+	22.0424i	0.108216	+	1.44405i	0.741929	+	0.670478i	$0.233911\pi$
$233$	1.65185	+	22.0424i	0.108216	+	1.44405i	−0.633713	+	0.773569i	$0.718470\pi$
$234$	8.66970	−	5.53781i	0.566756	−	0.362018i
$235$	20.5905	−	8.08118i	1.34318	−	0.527158i
$236$	−16.6505	+	8.32549i	−1.08385	+	0.541943i
$237$	−1.34476	+	1.07241i	−0.0873514	+	0.0696604i
$238$	−10.7629	−	19.8161i	−0.697657	−	1.28449i
$239$	12.1161	−	15.1931i	0.783724	−	0.982759i	−0.216255	−	0.976337i	$-0.569384\pi$
$239$	12.1161	−	15.1931i	0.783724	−	0.982759i	0.999979	−	0.00642231i	$-0.00204430\pi$
$240$	−0.114261	+	2.53305i	−0.00737551	+	0.163508i
$241$	1.82741	−	24.3851i	0.117714	−	1.57078i	−0.555617	−	0.831438i	$-0.687518\pi$
$241$	1.82741	−	24.3851i	0.117714	−	1.57078i	0.673331	−	0.739342i	$-0.264863\pi$
$242$	−4.37952	−	2.70666i	−0.281526	−	0.173990i
$243$	−3.47170	−	3.74160i	−0.222710	−	0.240024i
$244$	4.28554	−	0.711227i	0.274353	−	0.0455316i
$245$	18.1641	+	14.2531i	1.16046	+	0.910597i
$246$	0.355793	−	0.419707i	0.0226845	−	0.0267595i
$247$	4.40892	−	4.09088i	0.280533	−	0.260296i
$248$	6.14155	−	14.9790i	0.389989	−	0.951165i
$249$	0.0524092	−	0.699353i	0.00332130	−	0.0443197i
$250$	1.94334	+	3.61176i	0.122908	+	0.228428i
$251$	−18.9035	−	15.0750i	−1.19318	−	0.951526i	−0.193613	−	0.981078i	$-0.562021\pi$
$251$	−18.9035	−	15.0750i	−1.19318	−	0.951526i	−0.999563	+	0.0295520i	$0.990592\pi$
$252$	−3.77556	−	15.2177i	−0.237838	−	0.958624i
$253$	10.8893	−	8.68389i	0.684602	−	0.545952i
$254$	21.6499	+	9.25487i	1.35844	+	0.580702i
$255$	−1.39577	−	3.55635i	−0.0874063	−	0.222707i
$256$	14.9820	−	5.61608i	0.936374	−	0.351005i
$257$	−0.531963	−	7.09855i	−0.0331829	−	0.442796i	−0.988907	−	0.148533i	$-0.952545\pi$
$257$	−0.531963	−	7.09855i	−0.0331829	−	0.442796i	0.955725	−	0.294263i	$-0.0950741\pi$
$258$	1.32847	−	2.55944i	0.0827067	−	0.159344i
$259$	−0.659936	+	9.29667i	−0.0410064	+	0.577667i
$260$	16.1659	+	0.970124i	1.00257	+	0.0601645i
$261$	2.15967	−	14.3285i	0.133680	−	0.886910i
$262$	−2.72024	+	25.8690i	−0.168057	+	1.59819i
$263$	−10.2569	+	17.7654i	−0.632466	+	1.09546i	0.354580	+	0.935026i	$0.384624\pi$
$263$	−10.2569	+	17.7654i	−0.632466	+	1.09546i	−0.987046	+	0.160438i	$0.948709\pi$
$264$	−1.47450	−	0.0222787i	−0.0907493	−	0.00137116i
$265$	−35.1304	−	16.9179i	−2.15804	−	1.03926i
$266$	−3.76090	−	8.35961i	−0.230596	−	0.512561i
$267$	−1.29232	−	2.68353i	−0.0790887	−	0.164229i
$268$	8.53987	+	3.95734i	0.521656	+	0.241733i
$269$	−14.2172	+	15.3225i	−0.866840	+	0.934231i	−0.998370	−	0.0570813i	$-0.981821\pi$
$269$	−14.2172	+	15.3225i	−0.866840	+	0.934231i	0.131530	+	0.991312i	$0.458011\pi$
$270$	−0.637991	−	5.30755i	−0.0388269	−	0.323007i
$271$	1.61819	+	1.10326i	0.0982980	+	0.0670185i	0.611472	−	0.791266i	$-0.290578\pi$
$271$	1.61819	+	1.10326i	0.0982980	+	0.0670185i	−0.513174	+	0.858285i	$0.671530\pi$
$272$	−17.1768	+	16.9151i	−1.04150	+	1.02563i
$273$	1.21592	−	0.282560i	0.0735907	−	0.0171013i
$274$	13.3924	+	30.0838i	0.809065	+	1.81743i
$275$	−13.8127	+	7.97475i	−0.832936	+	0.480896i
$276$	−0.693587	+	1.84750i	−0.0417490	+	0.111206i
$277$	3.12516	+	4.58377i	0.187773	+	0.275412i	0.908569	−	0.417735i	$-0.137176\pi$
$277$	3.12516	+	4.58377i	0.187773	+	0.275412i	−0.720796	+	0.693147i	$0.756224\pi$
$278$	−10.6974	+	9.34513i	−0.641589	+	0.560484i
$279$	−3.77390	+	16.5345i	−0.225937	+	0.989896i
$280$	9.27383	−	22.8743i	0.554218	−	1.36700i
$281$	−3.89171	−	17.0507i	−0.232160	−	1.01716i	−0.947844	−	0.318735i	$-0.896742\pi$
$281$	−3.89171	−	17.0507i	−0.232160	−	1.01716i	0.715684	−	0.698424i	$-0.246115\pi$
$282$	−1.47455	−	1.07143i	−0.0878081	−	0.0638030i
$283$	0.944613	−	3.06236i	0.0561514	−	0.182038i	−0.923152	−	0.384434i	$-0.874397\pi$
$283$	0.944613	−	3.06236i	0.0561514	−	0.182038i	0.979304	+	0.202396i	$0.0648727\pi$
$284$	−13.9622	+	8.34017i	−0.828506	+	0.494898i
$285$	−0.457755	−	1.48401i	−0.0271151	−	0.0879049i
$286$	−0.282229	+	9.41446i	−0.0166886	+	0.556689i
$287$	−4.62792	+	2.69625i	−0.273177	+	0.159155i
$288$	−14.5181	+	8.37722i	−0.855485	+	0.493633i
$289$	7.05938	−	17.9870i	0.415258	−	1.05806i
$290$	16.0098	−	16.2495i	0.940126	−	0.954202i
$291$	−0.237058	−	1.57278i	−0.0138966	−	0.0921978i
$292$	3.69125	+	2.85498i	0.216014	+	0.167075i
$293$			10.2305i			0.597671i	0.954305	+	0.298836i	$0.0965982\pi$
$293$			10.2305i			0.597671i	−0.954305	+	0.298836i	$0.903402\pi$
$294$	0.184078	−	1.89363i	0.0107356	−	0.110439i
$295$	30.7011			1.78749
$296$	9.74614	−	2.07010i	0.566483	−	0.120322i
$297$	3.07427	−	0.463371i	0.178387	−	0.0268875i
$298$	10.3118	+	10.1597i	0.597346	+	0.588534i
$299$	11.7328	+	4.60479i	0.678526	+	0.266302i
$300$	1.10071	−	1.97365i	0.0635497	−	0.113949i
$301$	−20.5021	+	19.1737i	−1.18172	+	1.10515i
$302$	0.627065	−	20.9173i	0.0360836	−	1.20366i
$303$	−2.51917	+	0.777060i	−0.144722	+	0.0446409i
$304$	−7.47665	+	6.33492i	−0.428815	+	0.363332i
$305$	−6.84603	−	2.11172i	−0.392002	−	0.120917i
$306$	14.8454	−	20.4309i	0.848658	−	1.16796i
$307$	−13.0544	+	2.97958i	−0.745052	+	0.170053i	−0.578162	−	0.815922i	$-0.696230\pi$
$307$	−13.0544	+	2.97958i	−0.745052	+	0.170053i	−0.166891	+	0.985975i	$0.553373\pi$
$308$	13.4589	+	4.99243i	0.766892	+	0.284470i
$309$	−0.517285	−	0.118067i	−0.0294273	−	0.00671659i
$310$	−20.1070	+	17.5652i	−1.14200	+	0.997638i
$311$	−8.88578	+	6.05822i	−0.503866	+	0.343530i	−0.788428	−	0.615128i	$-0.789104\pi$
$311$	−8.88578	+	6.05822i	−0.503866	+	0.343530i	0.284561	+	0.958658i	$0.408152\pi$
$312$	−0.649718	−	1.16567i	−0.0367830	−	0.0659929i
$313$	−14.0410	−	24.3197i	−0.793642	−	1.37463i	−0.923698	−	0.383122i	$-0.874849\pi$
$313$	−14.0410	−	24.3197i	−0.793642	−	1.37463i	0.130055	−	0.991507i	$-0.458485\pi$
$314$	−0.0349748	+	0.0155697i	−0.00197374	+	0.000878649i
$315$	−5.65470	+	25.2318i	−0.318606	+	1.42165i
$316$	−10.3017	−	14.6376i	−0.579515	−	0.823429i
$317$	10.4379	−	15.3096i	0.586251	−	0.859872i	−0.412442	−	0.910984i	$-0.635324\pi$
$317$	10.4379	−	15.3096i	0.586251	−	0.859872i	0.998693	+	0.0511118i	$0.0162765\pi$
$318$	0.383459	+	3.19006i	0.0215033	+	0.178890i
$319$	9.72514	+	9.02362i	0.544504	+	0.505225i
$320$	−26.2416	−	2.76597i	−1.46695	−	0.154622i
$321$	−0.198584	+	0.0956329i	−0.0110839	+	0.00533771i
$322$	12.3641	−	14.7020i	0.689024	−	0.819309i
$323$	6.40633	−	13.3029i	0.356458	−	0.740192i
$324$	13.3932	−	11.0102i	0.744064	−	0.611680i
$325$	−12.4998	−	7.21678i	−0.693365	−	0.400315i
$326$	−0.568929	+	5.41043i	−0.0315101	+	0.299656i
$327$	0.898254	+	0.135390i	0.0496736	+	0.00748708i
$328$	4.13804	+	3.95755i	0.228485	+	0.218519i
$329$	10.0525	+	14.6205i	0.554214	+	0.806054i
$330$	2.15856	+	1.12039i	0.118825	+	0.0616755i
$331$	−11.3319	+	0.849208i	−0.622857	+	0.0466767i	−0.382421	−	0.923988i	$-0.624910\pi$
$331$	−11.3319	+	0.849208i	−0.622857	+	0.0466767i	−0.240436	+	0.970665i	$0.577291\pi$
$332$	7.23207	+	0.980378i	0.396911	+	0.0538052i
$333$	−9.71631	+	3.81337i	−0.532451	+	0.208972i
$334$	17.3385	+	7.41186i	0.948723	+	0.405559i
$335$	−9.67812	−	12.1360i	−0.528772	−	0.663060i
$336$	−1.99987	+	0.370643i	−0.109102	+	0.0202202i
$337$	−8.92254	+	11.1885i	−0.486042	+	0.609477i	−0.963017	−	0.269439i	$-0.913162\pi$
$337$	−8.92254	+	11.1885i	−0.486042	+	0.609477i	0.476976	+	0.878917i	$0.341733\pi$
$338$	8.68405	−	4.67254i	0.472350	−	0.254152i
$339$	0.824813	+	0.0618112i	0.0447977	+	0.00335712i
$340$	37.8128	−	12.2820i	2.05069	−	0.666085i
$341$	−10.5614	−	11.3825i	−0.571933	−	0.616397i
$342$	6.63840	−	7.83091i	0.358964	−	0.423447i
$343$	−7.83823	+	16.7798i	−0.423225	+	0.906025i
$344$	25.7588	+	15.3953i	1.38882	+	0.830062i
$345$	2.38572	−	2.21363i	0.128443	−	0.119178i
$346$	−12.9844	+	21.0095i	−0.698045	+	1.12948i
$347$	26.3917	+	1.97779i	1.41678	+	0.106173i	0.760988	−	0.648766i	$-0.224715\pi$
$347$	26.3917	+	1.97779i	1.41678	+	0.106173i	0.655795	+	0.754939i	$0.272334\pi$
$348$	−1.83860	−	0.390996i	−0.0985593	−	0.0209596i
$349$	27.1499	+	21.6513i	1.45330	+	1.15897i	0.956731	+	0.290972i	$0.0939788\pi$
$349$	27.1499	+	21.6513i	1.45330	+	1.15897i	0.496570	+	0.867997i	$0.334593\pi$
$350$	−16.5099	+	14.5377i	−0.882490	+	0.777071i
$351$	1.75418	+	2.19968i	0.0936314	+	0.117410i
$352$	1.15060	−	15.3030i	0.0613272	−	0.815651i
$353$	−1.92158	−	4.89611i	−0.102276	−	0.260594i	0.870572	−	0.492041i	$-0.163749\pi$
$353$	−1.92158	−	4.89611i	−0.102276	−	0.260594i	−0.972847	+	0.231447i	$0.925654\pi$
$354$	−1.36184	−	2.13202i	−0.0723810	−	0.113316i
$355$	26.7466	−	2.00438i	1.41956	−	0.106381i
$356$	28.6816	−	11.7515i	1.52012	−	0.622829i
$357$	2.52522	−	1.73625i	0.133649	−	0.0918923i
$358$	−18.7263	−	24.9825i	−0.989715	−	1.32037i
$359$	7.65286	+	1.15348i	0.403903	+	0.0608785i	0.347852	−	0.937549i	$-0.386911\pi$
$359$	7.65286	+	1.15348i	0.403903	+	0.0608785i	0.0560504	+	0.998428i	$0.482149\pi$
$360$	27.5938	−	1.64908i	1.45432	−	0.0869141i
$361$	−6.49902	+	11.2566i	−0.342054	+	0.592454i
$362$	22.6587	+	4.11311i	1.19092	+	0.216180i
$363$	0.303569	−	0.630368i	0.0159332	−	0.0330857i
$364$	2.17721	+	12.8069i	0.114117	+	0.671262i
$365$	−3.33914	−	6.93379i	−0.174778	−	0.362931i
$366$	0.157029	+	0.569091i	0.00820803	+	0.0297469i
$367$	4.11769	+	3.82066i	0.214942	+	0.199437i	0.780294	−	0.625413i	$-0.215069\pi$
$367$	4.11769	+	3.82066i	0.214942	+	0.199437i	−0.565352	+	0.824849i	$0.691260\pi$
$368$	−18.7591	−	8.35654i	−0.977887	−	0.435615i
$369$	−4.95613	−	3.37904i	−0.258006	−	0.175906i
$370$	−15.9030	−	4.13480i	−0.826759	−	0.214958i
$371$	6.83978	−	30.5198i	0.355104	−	1.58451i
$372$	2.11172	+	0.617165i	0.109487	+	0.0319985i
$373$	9.58330	−	5.53292i	0.496205	−	0.286484i	−0.230940	−	0.972968i	$-0.574180\pi$
$373$	9.58330	−	5.53292i	0.496205	−	0.286484i	0.727145	+	0.686484i	$0.240847\pi$
$374$	7.79873	+	21.7673i	0.403263	+	1.12556i
$375$	−0.460518	+	0.313976i	−0.0237811	+	0.0162137i
$376$	12.0491	−	14.6494i	0.621382	−	0.755487i
$377$	−2.67152	+	11.7047i	−0.137590	+	0.602822i
$378$	4.03106	−	1.46215i	0.207335	−	0.0752048i
$379$	−12.3577	+	2.82056i	−0.634772	+	0.144882i	−0.527785	−	0.849378i	$-0.676977\pi$
$379$	−12.3577	+	2.82056i	−0.634772	+	0.144882i	−0.106987	+	0.994260i	$0.534120\pi$
$380$	15.7009	−	3.82998i	0.805440	−	0.196474i
$381$	−0.943131	+	3.05756i	−0.0483181	+	0.156643i
$382$	1.35987	−	3.98092i	0.0695768	−	0.203681i
$383$	14.6489	−	4.51858i	0.748523	−	0.230889i	0.103054	−	0.994676i	$-0.467138\pi$
$383$	14.6489	−	4.51858i	0.748523	−	0.230889i	0.645468	+	0.763787i	$0.276662\pi$
$384$	0.971945	+	1.94503i	0.0495994	+	0.0992569i
$385$	−16.1706	−	17.2909i	−0.824130	−	0.881225i
$386$	11.1755	−	2.20066i	0.568819	−	0.112011i
$387$	−29.2642	−	11.4853i	−1.48758	−	0.583833i
$388$	16.4855	−	1.48208i	0.836924	−	0.0752412i
$389$	3.54632	+	23.5283i	0.179805	+	1.19293i	0.878582	+	0.477591i	$0.158490\pi$
$389$	3.54632	+	23.5283i	0.179805	+	1.19293i	−0.698777	+	0.715340i	$0.746272\pi$
$390$	0.0986322	+	2.19864i	0.00499444	+	0.111332i
$391$	30.9421			1.56481
$392$	19.5560	+	3.09262i	0.987725	+	0.156201i
$393$	−3.53491			−0.178313
$394$	0.151244	+	3.37143i	0.00761958	+	0.169850i
$395$	4.39961	+	29.1895i	0.221369	+	1.46868i
$396$	1.43952	+	16.0121i	0.0723385	+	0.804637i
$397$	−32.4566	−	12.7383i	−1.62895	−	0.639315i	−0.637575	−	0.770388i	$-0.720062\pi$
$397$	−32.4566	−	12.7383i	−1.62895	−	0.639315i	−0.991373	+	0.131073i	$0.958158\pi$
$398$	6.56170	−	1.29212i	0.328908	−	0.0647679i
$399$	1.07637	−	0.627099i	0.0538859	−	0.0313942i
$400$	19.8158	+	12.6643i	0.990790	+	0.633216i
$401$	17.0946	−	5.27297i	0.853662	−	0.263320i	0.163115	−	0.986607i	$-0.447846\pi$
$401$	17.0946	−	5.27297i	0.853662	−	0.263320i	0.690547	+	0.723287i	$0.257370\pi$
$402$	−0.413475	+	1.21042i	−0.0206223	+	0.0603703i
$403$	4.14181	−	13.4274i	0.206318	−	0.668868i
$404$	−6.50156	−	26.6530i	−0.323465	−	1.32604i
$405$	−27.8765	+	6.36263i	−1.38519	+	0.316161i
$406$	15.6029	+	9.55838i	0.774358	+	0.474375i
$407$	2.12650	−	9.31680i	0.105407	−	0.461817i
$408$	−2.53022	−	2.08109i	−0.125265	−	0.103029i
$409$	25.9991	−	17.7259i	1.28557	−	0.876488i	0.288849	−	0.957375i	$-0.406727\pi$
$409$	25.9991	−	17.7259i	1.28557	−	0.876488i	0.996723	+	0.0808864i	$0.0257751\pi$
$410$	−3.18498	−	8.88969i	−0.157295	−	0.439031i
$411$	−3.87556	+	2.23756i	−0.191167	+	0.110371i
$412$	1.54892	−	5.29986i	0.0763099	−	0.261105i
$413$	5.57429	+	23.9873i	0.274293	+	1.18034i
$414$	20.8215	+	5.41361i	1.02332	+	0.266064i
$415$	−9.94471	−	6.78019i	−0.488167	−	0.332826i
$416$	12.5137	−	6.02249i	0.613537	−	0.295277i
$417$	−1.41504	−	1.31297i	−0.0692950	−	0.0642963i
$418$	2.50006	+	9.06051i	0.122282	+	0.443164i
$419$	−12.8640	−	26.7124i	−0.628449	−	1.30499i	−0.935511	−	0.353298i	$-0.885060\pi$
$419$	−12.8640	−	26.7124i	−0.628449	−	1.30499i	0.307062	−	0.951690i	$-0.400654\pi$
$420$	3.22331	+	0.928292i	0.157281	+	0.0452960i
$421$	−15.0604	+	31.2733i	−0.734000	+	1.52417i	0.113597	+	0.993527i	$0.463763\pi$
$421$	−15.0604	+	31.2733i	−0.734000	+	1.52417i	−0.847597	+	0.530641i	$0.821951\pi$
$422$	−4.10332	−	0.744852i	−0.199747	−	0.0362588i
$423$	−9.93546	+	17.2087i	−0.483078	+	0.836716i
$424$	−33.3768	+	1.99468i	−1.62092	+	0.0968704i
$425$	−35.0375	−	5.28106i	−1.69957	−	0.256169i
$426$	−1.32562	−	1.76849i	−0.0642265	−	0.0856838i
$427$	0.406918	−	5.73235i	0.0196922	−	0.277408i
$428$	−0.869624	−	2.12247i	−0.0420349	−	0.102593i
$429$	−1.27639	+	0.0956525i	−0.0616249	+	0.00461815i
$430$	−26.6410	−	41.7078i	−1.28474	−	2.01133i
$431$	−9.58161	−	24.4135i	−0.461530	−	1.17596i	−0.952434	−	0.304745i	$-0.901429\pi$
$431$	−9.58161	−	24.4135i	−0.461530	−	1.17596i	0.490904	−	0.871214i	$-0.336667\pi$
$432$	−2.69374	−	3.70915i	−0.129603	−	0.178457i
$433$	0.451955	+	0.566733i	0.0217195	+	0.0272355i	0.792573	−	0.609777i	$-0.208741\pi$
$433$	0.451955	+	0.566733i	0.0217195	+	0.0272355i	−0.770853	+	0.637013i	$0.780170\pi$
$434$	−17.3748	−	12.5208i	−0.834018	−	0.601015i
$435$	2.42368	+	1.93282i	0.116206	+	0.0926715i
$436$	−1.96636	+	9.24649i	−0.0941715	+	0.442827i
$437$	12.5427	+	0.939946i	0.599999	+	0.0449637i
$438$	−0.333396	+	0.539454i	−0.0159303	+	0.0257761i
$439$	4.35053	−	4.03671i	0.207640	−	0.192661i	−0.569497	−	0.821994i	$-0.692862\pi$
$439$	4.35053	−	4.03671i	0.207640	−	0.192661i	0.777136	+	0.629332i	$0.216671\pi$
$440$	−12.9840	+	21.7243i	−0.618989	+	1.03566i
$441$	−20.7408	+	0.163127i	−0.987657	+	0.00776793i
$442$	−13.5306	+	15.9612i	−0.643583	+	0.759194i
$443$	20.9356	+	22.5633i	0.994682	+	1.07201i	0.997403	+	0.0720162i	$0.0229433\pi$
$443$	20.9356	+	22.5633i	0.994682	+	1.07201i	−0.00272127	+	0.999996i	$0.500866\pi$
$444$	0.418288	+	1.28779i	0.0198511	+	0.0611159i
$445$	−50.9747	−	3.82003i	−2.41643	−	0.181087i
$446$	−27.9167	+	15.0208i	−1.32189	+	0.711257i
$447$	−1.22655	+	1.53805i	−0.0580139	+	0.0727471i
$448$	−2.60349	−	21.0053i	−0.123003	−	0.992406i
$449$	18.1290	+	22.7330i	0.855559	+	1.07284i	0.996564	+	0.0828282i	$0.0263953\pi$
$449$	18.1290	+	22.7330i	0.855559	+	1.07284i	−0.141005	+	0.990009i	$0.545033\pi$
$450$	−22.6534	−	9.68387i	−1.06789	−	0.456502i
$451$	5.11225	−	2.00641i	0.240726	−	0.0944781i
$452$	−1.15625	+	8.52947i	−0.0543856	+	0.401193i
$453$	2.83593	−	0.212523i	0.133244	−	0.00998522i
$454$	7.70481	+	3.99915i	0.361605	+	0.187689i
$455$	6.23426	−	20.4968i	0.292267	−	0.960905i
$456$	−0.962433	−	0.920453i	−0.0450701	−	0.0431042i
$457$	−24.0849	−	3.63021i	−1.12664	−	0.169814i	−0.440830	−	0.897591i	$-0.645316\pi$
$457$	−24.0849	−	3.63021i	−1.12664	−	0.169814i	−0.685814	+	0.727777i	$0.740554\pi$
$458$	3.82590	−	36.3837i	0.178772	−	1.70010i
$459$	5.98156	+	3.45346i	0.279195	+	0.161194i
$460$	21.5075	+	26.1624i	1.00279	+	1.21983i
$461$	−3.54465	+	7.36054i	−0.165091	+	0.342814i	−0.967059	−	0.254552i	$-0.918072\pi$
$461$	−3.54465	+	7.36054i	−0.165091	+	0.342814i	0.801968	+	0.597367i	$0.203786\pi$
$462$	−0.483462	+	1.88995i	−0.0224927	+	0.0879284i
$463$	−6.18453	+	2.97831i	−0.287420	+	0.138414i	−0.572039	−	0.820227i	$-0.693847\pi$
$463$	−6.18453	+	2.97831i	−0.287420	+	0.138414i	0.284619	+	0.958641i	$0.408133\pi$
$464$	5.20774	−	18.8553i	0.241763	−	0.875335i
$465$	−2.65973	−	2.46787i	−0.123342	−	0.114445i
$466$	−3.73074	−	31.0367i	−0.172823	−	1.43775i
$467$	5.56337	−	8.15996i	0.257442	−	0.377598i	−0.675658	−	0.737215i	$-0.736140\pi$
$467$	5.56337	−	8.15996i	0.257442	−	0.377598i	0.933100	+	0.359617i	$0.117093\pi$
$468$	−11.8975	+	8.37326i	−0.549963	+	0.387054i
$469$	7.72485	−	9.76519i	0.356701	−	0.450915i
$470$	−28.5780	+	12.7220i	−1.31820	+	0.586824i
$471$	−0.00260133	−	0.00450564i	−0.000119863	−	0.000207609i
$472$	22.9960	−	12.8175i	1.05848	−	0.589972i
$473$	23.7813	−	16.2138i	1.09346	−	0.745511i
$474$	1.83190	−	1.60032i	0.0841418	−	0.0735051i
$475$	−14.0424	−	3.20509i	−0.644310	−	0.147060i
$476$	16.4617	+	27.3139i	0.754521	+	1.25193i
$477$	34.1497	−	7.79445i	1.56361	−	0.356883i
$478$	−16.1546	+	22.2326i	−0.738894	+	1.01689i
$479$	−32.3674	−	9.98402i	−1.47890	−	0.456181i	−0.552756	−	0.833343i	$-0.686424\pi$
$479$	−32.3674	−	9.98402i	−1.47890	−	0.456181i	−0.926147	+	0.377162i	$0.876900\pi$
$480$	0.000885704	−	3.58591i	4.04267e−5	−	0.163674i
$481$	8.26388	−	2.54907i	0.376801	−	0.116228i
$482$	−1.03626	+	34.5669i	−0.0472002	+	1.57448i
$483$	2.16272	+	1.46209i	0.0984071	+	0.0665275i
$484$	6.35890	+	3.54638i	0.289041	+	0.161199i
$485$	−25.4103	−	9.97282i	−1.15382	−	0.452842i
$486$	5.14193	+	5.06608i	0.233243	+	0.229802i
$487$	7.49167	−	1.12919i	0.339480	−	0.0511683i	0.0229099	−	0.999738i	$-0.492707\pi$
$487$	7.49167	−	1.12919i	0.339480	−	0.0511683i	0.316570	+	0.948569i	$0.397469\pi$
$488$	−6.00950	+	1.27643i	−0.272037	+	0.0577812i
$489$	−0.739316			−0.0334330
$490$	−26.5654	−	18.9855i	−1.20010	−	0.857675i
$491$			32.7124i			1.47629i	0.674641	+	0.738146i	$0.264298\pi$
$491$			32.7124i			1.47629i	−0.674641	+	0.738146i	$0.735702\pi$
$492$	−0.476062	+	0.615509i	−0.0214625	+	0.0277493i
$493$	4.39274	+	29.1439i	0.197839	+	1.31258i
$494$	−5.96961	+	6.05900i	−0.268586	+	0.272607i
$495$	9.68643	−	24.6806i	0.435373	−	1.10931i
$496$	−7.72739	+	21.5514i	−0.346970	+	0.967687i
$497$	6.42234	+	20.5337i	0.288081	+	0.921062i
$498$	−0.0297193	+	0.991362i	−0.00133176	+	0.0444240i
$499$	−1.04344	−	3.38276i	−0.0467110	−	0.151433i	0.929213	−	0.369545i	$-0.120486\pi$
$499$	−1.04344	−	3.38276i	−0.0467110	−	0.151433i	−0.975924	+	0.218112i	$0.930010\pi$
$500$	−2.97445	−	4.97950i	−0.133021	−	0.222690i
$501$	−0.755316	+	2.44867i	−0.0337450	+	0.109399i
$502$	27.6621	+	20.0998i	1.23462	+	0.897097i
$503$	9.30049	+	40.7481i	0.414688	+	1.81687i	0.561226	+	0.827663i	$0.310330\pi$
$503$	9.30049	+	40.7481i	0.414688	+	1.81687i	−0.146537	+	0.989205i	$0.546813\pi$
$504$	6.29857	+	21.2601i	0.280560	+	0.947002i
$505$	−10.0679	+	44.1103i	−0.448015	+	1.96288i
$506$	−14.8339	+	12.9587i	−0.659447	+	0.576084i
$507$	0.754918	+	1.10726i	0.0335271	+	0.0491752i
$508$	−31.1734	−	11.7031i	−1.38309	−	0.519240i
$509$	24.3849	−	14.0786i	1.08084	−	0.624025i	0.149719	−	0.988729i	$-0.452163\pi$
$509$	24.3849	−	14.0786i	1.08084	−	0.624025i	0.931124	+	0.364703i	$0.118830\pi$
$510$	2.19732	+	4.93593i	0.0972992	+	0.218567i
$511$	4.81123	−	3.86788i	0.212836	−	0.171105i
$512$	−20.8105	+	8.88389i	−0.919702	+	0.392616i
$513$	2.31978	+	1.58160i	0.102421	+	0.0698294i
$514$	1.20145	+	9.99507i	0.0529937	+	0.440864i
$515$	−6.19371	+	6.67523i	−0.272928	+	0.294146i
$516$	−1.71463	+	3.70015i	−0.0754825	+	0.162890i
$517$	−7.89359	−	16.3912i	−0.347160	−	0.720885i
$518$	0.343142	−	13.1761i	0.0150768	−	0.578924i
$519$	−3.02400	−	1.45628i	−0.132739	−	0.0639238i
$520$	−22.9005	−	0.346011i	−1.00426	−	0.0151736i
$521$	−0.958545	+	1.66025i	−0.0419946	+	0.0727368i	−0.886259	−	0.463191i	$-0.846705\pi$
$521$	−0.958545	+	1.66025i	−0.0419946	+	0.0727368i	0.844264	+	0.535927i	$0.180038\pi$
$522$	−2.14305	+	20.3800i	−0.0937985	+	0.892010i
$523$	2.11633	−	14.0410i	0.0925408	−	0.613968i	−0.893701	−	0.448662i	$-0.851901\pi$
$523$	2.11633	−	14.0410i	0.0925408	−	0.613968i	0.986242	−	0.165306i	$-0.0528612\pi$
$524$	2.20359	−	36.7200i	0.0962641	−	1.60412i
$525$	−2.19943	−	2.02474i	−0.0959910	−	0.0883667i
$526$	13.3649	−	25.7489i	0.582737	−	1.12271i
$527$	−2.57788	−	34.3994i	−0.112294	−	1.49846i
$528$	2.08458	−	0.0619768i	0.0907196	−	0.00269719i
$529$	1.22700	+	3.12635i	0.0533480	+	0.135928i
$530$	50.7042	+	21.6750i	2.20245	+	0.941501i
$531$	−21.5629	+	17.1959i	−0.935752	+	0.746238i
$532$	5.84320	+	11.5720i	0.253335	+	0.501712i
$533$	3.88562	+	3.09868i	0.168305	+	0.134219i
$534$	1.99586	+	3.70937i	0.0863693	+	0.160520i
$535$	−0.282686	+	3.77218i	−0.0122216	+	0.163086i
$536$	−12.3159	−	5.04965i	−0.531965	−	0.218112i
$537$	3.11031	−	2.88594i	0.134220	−	0.124538i
$538$	19.1149	−	22.5486i	0.824101	−	0.972140i
$539$	10.5737	−	15.7738i	0.455440	−	0.679427i
$540$	1.23773	+	7.45804i	0.0532636	+	0.320943i
$541$	−5.44864	−	5.87224i	−0.234255	−	0.252467i	0.604973	−	0.796246i	$-0.293184\pi$
$541$	−5.44864	−	5.87224i	−0.234255	−	0.252467i	−0.839229	+	0.543778i	$0.816993\pi$
$542$	−2.35609	−	1.45612i	−0.101203	−	0.0625458i
$543$	−0.233874	+	3.12083i	−0.0100365	+	0.133928i
$544$	23.1952	−	24.9861i	0.994488	−	1.07127i
$545$	9.72032	−	12.1889i	0.416373	−	0.522115i
$546$	−1.69993	+	0.476263i	−0.0727504	+	0.0203822i
$547$	−22.3487	+	17.8225i	−0.955560	+	0.762034i	−0.971304	−	0.237842i	$-0.923560\pi$
$547$	−22.3487	+	17.8225i	−0.955560	+	0.762034i	0.0157437	+	0.999876i	$0.494988\pi$
$548$	−20.8274	−	41.6534i	−0.889701	−	1.77935i
$549$	5.99111	−	2.35134i	0.255694	−	0.100353i
$550$	19.0090	−	12.1421i	0.810547	−	0.517741i
$551$	0.895321	+	11.9472i	0.0381420	+	0.508969i
$552$	0.862802	−	2.65409i	0.0367233	−	0.112966i
$553$	−22.0075	+	8.73734i	−0.935855	+	0.371550i
$554$	−4.70572	−	6.27785i	−0.199927	−	0.266720i
$555$	0.332816	−	2.20809i	0.0141273	−	0.0937282i
$556$	14.5210	−	13.8807i	0.615826	−	0.588674i
$557$	−23.9578	−	13.8320i	−1.01512	−	0.586082i	−0.102436	−	0.994740i	$-0.532664\pi$
$557$	−23.9578	−	13.8320i	−1.01512	−	0.586082i	−0.912688	+	0.408657i	$0.865997\pi$
$558$	4.28380	−	23.5990i	0.181348	−	0.999027i
$559$	23.4674	+	11.3013i	0.992566	+	0.477995i
$560$	−11.6523	+	32.9044i	−0.492398	+	1.39047i
$561$	−2.83106	+	1.36337i	−0.119527	+	0.0575614i
$562$	6.57883	+	23.8424i	0.277511	+	1.00573i
$563$	−9.65934	+	10.4103i	−0.407092	+	0.438741i	−0.903004	−	0.429632i	$-0.858643\pi$
$563$	−9.65934	+	10.4103i	−0.407092	+	0.438741i	0.495912	+	0.868373i	$0.334834\pi$
$564$	2.15114	+	1.42026i	0.0905792	+	0.0598037i
$565$	7.99652	−	11.7287i	0.336416	−	0.493432i
$566$	−1.14045	+	4.38635i	−0.0479369	+	0.184372i
$567$	−10.0327	−	20.6252i	−0.421333	−	0.866177i
$568$	19.1971	−	12.6678i	0.805494	−	0.531531i
$569$	9.48596	+	16.4302i	0.397672	+	0.688788i	0.993438	−	0.114370i	$-0.0364849\pi$
$569$	9.48596	+	16.4302i	0.397672	+	0.688788i	−0.595766	+	0.803158i	$0.703152\pi$
$570$	0.740767	+	2.06758i	0.0310273	+	0.0866014i
$571$	−17.5719	−	25.7733i	−0.735362	−	1.07858i	−0.993651	−	0.112510i	$-0.964111\pi$
$571$	−17.5719	−	25.7733i	−0.735362	−	1.07858i	0.258289	−	0.966068i	$-0.416841\pi$
$572$	−0.197944	−	13.3186i	−0.00827645	−	0.556877i
$573$	0.557355	+	0.127213i	0.0232838	+	0.00531439i
$574$	6.36740	−	4.10255i	0.265770	−	0.171237i
$575$	−6.71667	−	29.4276i	−0.280104	−	1.22722i
$576$	19.9801	−	12.7554i	0.832503	−	0.531476i
$577$	13.6861	+	4.22160i	0.569759	+	0.175748i	0.566231	−	0.824246i	$-0.308401\pi$
$577$	13.6861	+	4.22160i	0.569759	+	0.175748i	0.00352796	+	0.999994i	$0.498877\pi$
$578$	−8.83345	+	25.8593i	−0.367423	+	1.07561i
$579$	0.456248	+	1.47912i	0.0189610	+	0.0614701i
$580$	−21.5886	+	23.9718i	−0.896419	+	0.995376i
$581$	3.49187	−	9.00105i	0.144867	−	0.373426i
$582$	0.434594	+	2.20698i	0.0180145	+	0.0914824i
$583$	−11.7165	+	29.8531i	−0.485246	+	1.23639i
$584$	−5.39592	−	3.79954i	−0.223285	−	0.157226i
$585$	23.7254	−	3.57603i	0.980924	−	0.147851i
$586$	−0.648394	−	14.4536i	−0.0267849	−	0.597071i
$587$			11.4370i			0.472055i	0.971746	+	0.236027i	$0.0758455\pi$
$587$			11.4370i			0.472055i	−0.971746	+	0.236027i	$0.924155\pi$
$588$	−0.140048	+	2.68698i	−0.00577548	+	0.110809i
$589$		−	14.0225i		−	0.577787i
$590$	−43.3743	+	1.94579i	−1.78569	+	0.0801070i
$591$	−0.453507	+	0.0683551i	−0.0186548	+	0.00281175i
$592$	−13.6381	+	3.54232i	−0.560522	+	0.145588i
$593$	−12.2718	+	31.2679i	−0.503941	+	1.28402i	0.422083	+	0.906557i	$0.361299\pi$
$593$	−12.2718	+	31.2679i	−0.503941	+	1.28402i	−0.926024	+	0.377464i	$0.876796\pi$
$594$	−4.31393	+	0.849490i	−0.177003	+	0.0348550i
$595$	−4.13658	−	52.4313i	−0.169583	−	2.14947i
$596$	−15.2123	−	13.7000i	−0.623122	−	0.561173i
$597$	0.267886	+	0.868464i	0.0109638	+	0.0355438i
$598$	−16.8679	−	5.76200i	−0.689779	−	0.235626i
$599$	29.4394	+	9.08085i	1.20286	+	0.371033i	0.830481	−	0.557047i	$-0.188066\pi$
$599$	29.4394	+	9.08085i	1.20286	+	0.371033i	0.372380	+	0.928080i	$0.378542\pi$
$600$	−1.42999	+	2.85813i	−0.0583791	+	0.116683i
$601$	−3.11877	−	13.6642i	−0.127217	−	0.557375i	−0.997856	−	0.0654517i	$-0.979151\pi$
$601$	−3.11877	−	13.6642i	−0.127217	−	0.557375i	0.870639	−	0.491923i	$-0.163706\pi$
$602$	27.7500	−	28.3879i	1.13100	−	1.15700i
$603$	13.5949	+	3.10294i	0.553627	+	0.126362i
$604$	0.439798	+	29.5916i	0.0178951	+	1.20406i
$605$	−6.76416	−	9.92120i	−0.275002	−	0.403354i
$606$	3.50981	−	1.25749i	0.142576	−	0.0510819i
$607$	11.2427	+	19.4730i	0.456329	+	0.790385i	0.998764	−	0.0497132i	$-0.0158307\pi$
$607$	11.2427	+	19.4730i	0.456329	+	0.790385i	−0.542435	+	0.840098i	$0.682497\pi$
$608$	10.1615	−	9.42378i	0.412101	−	0.382185i
$609$	−1.07009	+	2.24460i	−0.0433622	+	0.0909558i
$610$	9.80586	+	2.54953i	0.397028	+	0.103227i
$611$	9.27433	−	13.6029i	0.375199	−	0.550316i
$612$	−19.6787	+	29.8055i	−0.795463	+	1.20482i
$613$	−8.96579	+	9.66283i	−0.362125	+	0.390278i	−0.887664	−	0.460492i	$-0.847673\pi$
$613$	−8.96579	+	9.66283i	−0.362125	+	0.390278i	0.525539	+	0.850769i	$0.323864\pi$
$614$	18.2543	−	5.03689i	0.736683	−	0.203272i
$615$	1.15620	−	0.556794i	0.0466223	−	0.0224521i
$616$	−19.3311	−	6.20026i	−0.778870	−	0.249816i
$617$	20.4531	+	9.84967i	0.823409	+	0.396533i	0.797639	−	0.603135i	$-0.206082\pi$
$617$	20.4531	+	9.84967i	0.823409	+	0.396533i	0.0257699	+	0.999668i	$0.491796\pi$
$618$	0.738299	+	0.134019i	0.0296988	+	0.00539105i
$619$	−26.4377	−	15.2638i	−1.06262	−	0.613504i	−0.136465	−	0.990645i	$-0.543574\pi$
$619$	−26.4377	−	15.2638i	−1.06262	−	0.613504i	−0.926156	+	0.377141i	$0.876907\pi$
$620$	27.2938	−	26.0904i	1.09615	−	1.04782i
$621$	−0.876930	+	5.81805i	−0.0351900	+	0.233470i
$622$	12.1698	−	9.12218i	0.487965	−	0.365766i
$623$	−6.27064	−	40.5211i	−0.251228	−	1.62344i
$624$	0.991795	+	1.60567i	0.0397036	+	0.0642781i
$625$	−1.48194	−	19.7752i	−0.0592777	−	0.791007i
$626$	21.3783	+	33.4688i	0.854450	+	1.33768i
$627$	−1.18902	+	0.466654i	−0.0474847	+	0.0186364i
$628$	0.0484253	−	0.0242134i	0.00193238	−	0.000966220i
$629$	16.5986	−	13.2370i	0.661830	−	0.527792i
$630$	6.38976	−	36.0057i	0.254574	−	1.43450i
$631$	−30.4982	+	38.2435i	−1.21411	+	1.52245i	−0.428743	+	0.903427i	$0.641043\pi$
$631$	−30.4982	+	38.2435i	−1.21411	+	1.52245i	−0.785372	+	0.619024i	$0.787528\pi$
$632$	15.4819	+	20.0270i	0.615835	+	0.796631i
$633$	0.0423527	−	0.565158i	0.00168337	−	0.0224630i
$634$	−13.7763	+	22.2908i	−0.547126	+	0.885281i
$635$	37.3512	+	40.2550i	1.48224	+	1.59747i
$636$	−0.743929	−	4.48259i	−0.0294987	−	0.177746i
$637$	17.1465	+	1.14942i	0.679369	+	0.0455416i
$638$	−14.3115	−	12.1321i	−0.566598	−	0.480316i
$639$	−17.6628	+	16.3887i	−0.698731	+	0.648328i
$640$	37.2493	+	2.24458i	1.47241	+	0.0887249i
$641$	0.964557	−	12.8711i	0.0380977	−	0.508379i	−0.945214	−	0.326451i	$-0.894147\pi$
$641$	0.964557	−	12.8711i	0.0380977	−	0.508379i	0.983312	−	0.181928i	$-0.0582337\pi$
$642$	0.274497	−	0.147695i	0.0108335	−	0.00582908i
$643$	28.6305	+	22.8320i	1.12908	+	0.900408i	0.995880	−	0.0906819i	$-0.0289046\pi$
$643$	28.6305	+	22.8320i	1.12908	+	0.900408i	0.133196	+	0.991090i	$0.457476\pi$
$644$	−16.5361	+	21.5545i	−0.651614	+	0.849365i
$645$	5.25827	−	4.19333i	0.207044	−	0.165112i
$646$	−8.20770	+	19.2002i	−0.322927	+	0.755423i
$647$	10.9755	+	27.9651i	0.431491	+	1.09942i	0.966974	+	0.254875i	$0.0820343\pi$
$647$	10.9755	+	27.9651i	0.431491	+	1.09942i	−0.535483	+	0.844546i	$0.679870\pi$
$648$	−18.2239	+	16.4040i	−0.715904	+	0.644411i
$649$	−1.88701	−	25.1804i	−0.0740716	−	0.988417i
$650$	18.1170	+	9.40359i	0.710609	+	0.368839i
$651$	1.44528	−	2.52618i	0.0566449	−	0.0990089i
$652$	0.460873	−	7.67987i	0.0180492	−	0.300767i
$653$	4.38565	−	29.0969i	0.171624	−	1.13865i	−0.722678	−	0.691185i	$-0.757089\pi$
$653$	4.38565	−	29.0969i	0.171624	−	1.13865i	0.894302	−	0.447464i	$-0.147673\pi$
$654$	−1.27763	−	0.134348i	−0.0499592	−	0.00525342i
$655$	−30.3335	+	52.5392i	−1.18523	+	2.05288i
$656$	−6.09702	−	5.32893i	−0.238049	−	0.208060i
$657$	6.22891	+	2.99969i	0.243013	+	0.117029i
$658$	−15.1288	−	20.0186i	−0.589781	−	0.780407i
$659$	−2.28247	−	4.73961i	−0.0889126	−	0.184629i	0.851771	−	0.523915i	$-0.175529\pi$
$659$	−2.28247	−	4.73961i	−0.0889126	−	0.184629i	−0.940683	+	0.339286i	$0.889815\pi$
$660$	−3.12061	−	1.44607i	−0.121469	−	0.0562884i
$661$	13.1948	−	14.2206i	0.513217	−	0.553116i	−0.422274	−	0.906468i	$-0.638768\pi$
$661$	13.1948	−	14.2206i	0.513217	−	0.553116i	0.935490	+	0.353353i	$0.114958\pi$
$662$	15.9558	−	1.91796i	0.620140	−	0.0745435i
$663$	−2.34947	−	1.60184i	−0.0912460	−	0.0622105i
$664$	−10.2796	−	0.926712i	−0.398924	−	0.0359634i
$665$	−0.0840726	−	21.3792i	−0.00326020	−	0.829051i
$666$	13.4855	−	6.00331i	0.522551	−	0.232624i
$667$	−21.7434	+	12.5536i	−0.841908	+	0.486076i
$668$	−24.9655	−	9.37253i	−0.965945	−	0.362634i
$669$	−2.42684	−	3.55952i	−0.0938271	−	0.137619i
$670$	14.4423	+	16.5322i	0.557956	+	0.638696i
$671$	−1.31121	+	5.74477i	−0.0506185	+	0.221774i
$672$	2.80191	−	0.650390i	0.108086	−	0.0250893i
$673$	−2.11007	−	9.24484i	−0.0813374	−	0.356362i	0.917838	−	0.396954i	$-0.129933\pi$
$673$	−2.11007	−	9.24484i	−0.0813374	−	0.356362i	−0.999176	+	0.0405918i	$0.987076\pi$
$674$	11.8966	−	16.3725i	0.458239	−	0.630647i
$675$	1.98600	−	6.43845i	0.0764411	−	0.247816i
$676$	−11.9726	+	7.15171i	−0.460486	+	0.275066i
$677$	5.71126	+	18.5154i	0.219501	+	0.711606i	0.996612	+	0.0822424i	$0.0262082\pi$
$677$	5.71126	+	18.5154i	0.219501	+	0.711606i	−0.777111	+	0.629364i	$0.783316\pi$
$678$	−1.16921	−	0.0350509i	−0.0449031	−	0.00134612i
$679$	3.17829	−	21.6643i	0.121972	−	0.831400i
$680$	−52.6433	+	19.7484i	−2.01878	+	0.757318i
$681$	−0.430994	+	1.09816i	−0.0165157	+	0.0420814i
$682$	15.6425	+	15.4117i	0.598982	+	0.590146i
$683$	3.06134	+	20.3106i	0.117139	+	0.777165i	0.967849	+	0.251531i	$0.0809339\pi$
$683$	3.06134	+	20.3106i	0.117139	+	0.777165i	−0.850711	+	0.525635i	$0.823828\pi$
$684$	−8.88237	+	11.4842i	−0.339626	+	0.439109i
$685$			76.8030i			2.93449i
$686$	10.0103	−	24.2032i	0.382196	−	0.924081i
$687$	4.97170			0.189682
$688$	−37.3676	−	20.1179i	−1.42463	−	0.766987i
$689$	−28.6976	+	4.32547i	−1.09329	+	0.164787i
$690$	−3.23024	+	3.27860i	−0.122973	+	0.124814i
$691$	−7.71014	−	3.02601i	−0.293308	−	0.115115i	0.214125	−	0.976806i	$-0.431310\pi$
$691$	−7.71014	−	3.02601i	−0.293308	−	0.115115i	−0.507432	+	0.861692i	$0.669405\pi$
$692$	17.0127	−	30.5050i	0.646726	−	1.15962i
$693$	21.0422	+	3.08702i	0.799326	+	0.117266i
$694$	−37.4114	−	1.12153i	−1.42012	−	0.0425727i
$695$	−31.6572	+	9.76496i	−1.20083	+	0.370406i
$696$	2.62234	+	0.435869i	0.0993996	+	0.0165216i
$697$	11.6587	+	3.59623i	0.441604	+	0.136217i
$698$	−39.7294	−	28.8681i	−1.50378	−	1.09267i
$699$	4.14165	−	0.945304i	0.156652	−	0.0357547i
$700$	22.4036	−	21.5851i	0.846778	−	0.815839i
$701$	−23.9176	−	5.45904i	−0.903356	−	0.206185i	−0.254479	−	0.967078i	$-0.581904\pi$
$701$	−23.9176	−	5.45904i	−0.903356	−	0.206185i	−0.648877	+	0.760893i	$0.724761\pi$
$702$	−2.61771	−	2.99651i	−0.0987991	−	0.113096i
$703$	7.13053	−	4.86152i	0.268933	−	0.183356i
$704$	−0.655677	+	21.6928i	−0.0247118	+	0.817580i
$705$	−2.12555	−	3.68156i	−0.0800529	−	0.138656i
$706$	3.02511	+	6.79540i	0.113851	+	0.255748i
$707$	−36.2922	+	0.142717i	−1.36491	+	0.00536743i
$708$	2.05912	+	2.92579i	0.0773865	+	0.109958i
$709$	8.98561	−	13.1795i	0.337462	−	0.494965i	−0.619573	−	0.784939i	$-0.712694\pi$
$709$	8.98561	−	13.1795i	0.337462	−	0.494965i	0.957035	+	0.289974i	$0.0936466\pi$
$710$	−37.6603	+	4.52693i	−1.41337	+	0.169893i
$711$	−19.4393	−	18.0371i	−0.729032	−	0.676442i
$712$	−39.7764	+	18.4203i	−1.49068	+	0.690329i
$713$	26.4758	−	12.7501i	0.991525	−	0.477493i
$714$	−3.45758	+	2.61301i	−0.129397	+	0.0977895i
$715$	−9.53122	+	19.7918i	−0.356447	+	0.740171i
$716$	28.0397	+	34.1083i	1.04789	+	1.27469i
$717$	−3.23436	−	1.86736i	−0.120790	−	0.0697379i
$718$	−10.8850	−	1.14460i	−0.406225	−	0.0427163i
$719$	−9.48810	−	1.43010i	−0.353846	−	0.0533338i	−0.0302860	−	0.999541i	$-0.509642\pi$
$719$	−9.48810	−	1.43010i	−0.353846	−	0.0533338i	−0.323560	+	0.946208i	$0.604880\pi$
$720$	−38.8798	+	4.07866i	−1.44896	+	0.152003i
$721$	−6.34006	−	3.62727i	−0.236116	−	0.135086i
$722$	8.46833	−	16.3152i	0.315159	−	0.607188i
$723$	−4.68651	+	0.351205i	−0.174293	+	0.0130615i
$724$	−32.2728	−	4.37489i	−1.19941	−	0.162592i
$725$	26.7639	−	10.5041i	0.993988	−	0.390111i
$726$	−0.388928	+	0.909819i	−0.0144345	+	0.0337665i
$727$	11.6045	+	14.5516i	0.430388	+	0.539690i	0.948982	−	0.315331i	$-0.102116\pi$
$727$	11.6045	+	14.5516i	0.430388	+	0.539690i	−0.518593	+	0.855021i	$0.673544\pi$
$728$	−3.88763	−	17.9555i	−0.144085	−	0.665474i
$729$	15.6034	−	19.5660i	0.577903	−	0.724667i
$730$	5.15696	+	9.58438i	0.190868	+	0.354734i
$731$	63.7643	+	4.77848i	2.35841	+	0.176738i
$732$	−0.257918	−	0.794056i	−0.00953291	−	0.0293491i
$733$	5.48843	+	5.91512i	0.202720	+	0.218480i	0.826227	−	0.563338i	$-0.190483\pi$
$733$	5.48843	+	5.91512i	0.202720	+	0.218480i	−0.623507	+	0.781818i	$0.714293\pi$
$734$	−6.05959	−	5.13682i	−0.223664	−	0.189604i
$735$	2.18838	−	3.86018i	0.0807196	−	0.142385i
$736$	27.0324	+	10.6171i	0.996426	+	0.391353i
$737$	−9.35883	+	8.68372i	−0.344737	+	0.319869i
$738$	7.21615	+	4.45976i	0.265630	+	0.164166i
$739$	−14.7620	−	1.10626i	−0.543027	−	0.0406943i	−0.199607	−	0.979876i	$-0.563966\pi$
$739$	−14.7620	−	1.10626i	−0.543027	−	0.0406943i	−0.343420	+	0.939182i	$0.611586\pi$
$740$	22.7297	+	4.83370i	0.835562	+	0.177691i
$741$	−0.903724	−	0.720696i	−0.0331991	−	0.0264754i
$742$	−7.72889	+	43.5516i	−0.283737	+	1.59883i
$743$	−26.1401	−	32.7787i	−0.958989	−	1.20253i	−0.979233	−	0.202739i	$-0.935016\pi$
$743$	−26.1401	−	32.7787i	−0.958989	−	1.20253i	0.0202441	−	0.999795i	$-0.493556\pi$
$744$	−3.02254	−	0.738088i	−0.110812	−	0.0270596i
$745$	12.3347	+	31.4283i	0.451909	+	1.15145i
$746$	−13.1886	+	8.42425i	−0.482867	+	0.308434i
$747$	10.7823	−	0.808022i	0.394504	−	0.0295640i
$748$	−12.3976	−	30.2584i	−0.453300	−	1.10636i
$749$	−2.99860	+	0.464033i	−0.109567	+	0.0169554i
$750$	0.630718	−	0.472770i	0.0230306	−	0.0172631i
$751$	11.7477	+	1.77068i	0.428679	+	0.0646130i	0.359838	−	0.933015i	$-0.382832\pi$
$751$	11.7477	+	1.77068i	0.428679	+	0.0646130i	0.0688407	+	0.997628i	$0.478070\pi$
$752$	−16.0944	+	21.4603i	−0.586901	+	0.782575i
$753$	−2.32340	+	4.02424i	−0.0846693	+	0.146652i
$754$	3.03247	−	16.7056i	0.110436	−	0.608383i
$755$	21.1767	−	43.9739i	0.770700	−	1.60038i
$756$	−5.60238	+	2.32120i	−0.203756	+	0.0844211i
$757$	5.05915	+	10.5054i	0.183878	+	0.381826i	0.972448	−	0.233118i	$-0.0748928\pi$
$757$	5.05915	+	10.5054i	0.183878	+	0.381826i	−0.788571	+	0.614944i	$0.789179\pi$
$758$	17.2801	−	4.76808i	0.627641	−	0.173185i
$759$	−1.96221	−	1.82066i	−0.0712237	−	0.0660859i
$760$	−21.9394	+	6.40607i	−0.795826	+	0.232372i
$761$	−7.91905	−	5.39912i	−0.287066	−	0.195718i	0.411222	−	0.911535i	$-0.365102\pi$
$761$	−7.91905	−	5.39912i	−0.287066	−	0.195718i	−0.698288	+	0.715817i	$0.746054\pi$
$762$	1.13866	−	4.37947i	0.0412495	−	0.158651i
$763$	11.2883	+	5.38158i	0.408664	+	0.194826i
$764$	−1.66890	+	5.71040i	−0.0603788	+	0.206595i
$765$	51.0106	−	29.4510i	1.84429	−	1.06480i
$766$	−20.4094	+	7.31224i	−0.737423	+	0.264202i
$767$	18.8804	−	12.8724i	0.681730	−	0.464796i
$768$	−1.49643	−	2.68632i	−0.0539978	−	0.0969343i
$769$	−6.85068	+	30.0148i	−0.247042	+	1.08236i	0.687409	+	0.726270i	$0.258748\pi$
$769$	−6.85068	+	30.0148i	−0.247042	+	1.08236i	−0.934451	+	0.356091i	$0.884109\pi$
$770$	23.9416	+	23.4036i	0.862794	+	0.843406i
$771$	−1.33378	+	0.304426i	−0.0480349	+	0.0109636i
$772$	−15.6492	+	3.81736i	−0.563228	+

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:	\( N \)	\(=\)	\( 392 = 2^{3} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	392.z (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41279 + 0.0633787i) q^{2} +(-0.0286441 - 0.190041i) q^{3} +(1.99197 - 0.179082i) q^{4} +(-3.07037 - 1.20503i) q^{5} +(0.0525127 + 0.266673i) q^{6} +(0.384038 - 2.61773i) q^{7} +(-2.80289 + 0.379254i) q^{8} +(2.83142 - 0.873378i) q^{9} +O(q^{10})\)	\(q+(-1.41279 + 0.0633787i) q^{2} +(-0.0286441 - 0.190041i) q^{3} +(1.99197 - 0.179082i) q^{4} +(-3.07037 - 1.20503i) q^{5} +(0.0525127 + 0.266673i) q^{6} +(0.384038 - 2.61773i) q^{7} +(-2.80289 + 0.379254i) q^{8} +(2.83142 - 0.873378i) q^{9} +(4.41417 + 1.50786i) q^{10} +(-0.799625 + 2.59232i) q^{11} +(-0.0910909 - 0.373426i) q^{12} +(-2.39344 + 0.546288i) q^{13} +(-0.376657 + 3.72265i) q^{14} +(-0.141057 + 0.618013i) q^{15} +(3.93586 - 0.713450i) q^{16} +(-4.97960 + 3.39504i) q^{17} +(-3.94486 + 1.41335i) q^{18} +(-2.12167 + 1.22495i) q^{19} +(-6.33187 - 1.85053i) q^{20} +(-0.508477 + 0.00199956i) q^{21} +(0.965406 - 3.71309i) q^{22} +(-4.24195 - 2.89212i) q^{23} +(0.152360 + 0.521800i) q^{24} +(4.30980 + 3.99891i) q^{25} +(3.34682 - 0.923485i) q^{26} +(-0.497242 - 1.03253i) q^{27} +(0.296202 - 5.28321i) q^{28} +(2.12183 - 4.40602i) q^{29} +(0.160116 - 0.882064i) q^{30} +(-2.86186 + 4.95689i) q^{31} +(-5.51534 + 1.25741i) q^{32} +(0.515551 + 0.0777069i) q^{33} +(6.81997 - 5.11208i) q^{34} +(-4.33358 + 7.57462i) q^{35} +(5.48369 - 2.24680i) q^{36} +(-3.51280 + 0.263248i) q^{37} +(2.91984 - 1.86506i) q^{38} +(0.172375 + 0.439205i) q^{39} +(9.06290 + 2.21311i) q^{40} +(-1.26219 - 1.58274i) q^{41} +(0.718245 - 0.0350515i) q^{42} +(-8.29503 - 6.61506i) q^{43} +(-1.12859 + 5.30701i) q^{44} +(-9.74596 - 0.730359i) q^{45} +(6.17630 + 3.81711i) q^{46} +(-4.91600 + 4.56138i) q^{47} +(-0.248324 - 0.727539i) q^{48} +(-6.70503 - 2.01061i) q^{49} +(-6.34230 - 5.37648i) q^{50} +(0.787832 + 0.849081i) q^{51} +(-4.66983 + 1.51681i) q^{52} +(11.7885 + 0.883424i) q^{53} +(0.767941 + 1.42724i) q^{54} +(5.57897 - 6.99580i) q^{55} +(-0.0836298 + 7.48285i) q^{56} +(0.293563 + 0.368116i) q^{57} +(-2.71845 + 6.35927i) q^{58} +(-8.66453 + 3.40058i) q^{59} +(-0.170307 + 1.25632i) q^{60} +(2.16600 - 0.162320i) q^{61} +(3.72905 - 7.18443i) q^{62} +(-1.19890 - 7.74731i) q^{63} +(7.71233 - 2.12601i) q^{64} +(8.00705 + 1.20687i) q^{65} +(-0.733292 - 0.0771088i) q^{66} +(4.07561 + 2.35306i) q^{67} +(-9.31121 + 7.65455i) q^{68} +(-0.428114 + 0.888987i) q^{69} +(5.64239 - 10.9760i) q^{70} +(-7.32647 + 3.52824i) q^{71} +(-7.60492 + 3.52181i) q^{72} +(1.71039 + 1.58701i) q^{73} +(4.94618 - 0.594552i) q^{74} +(0.636507 - 0.933584i) q^{75} +(-4.00693 + 2.82000i) q^{76} +(6.47891 + 3.08875i) q^{77} +(-0.271366 - 0.609580i) q^{78} +(-4.47482 - 7.75061i) q^{79} +(-12.9443 - 2.55228i) q^{80} +(7.16261 - 4.88339i) q^{81} +(1.88353 + 2.15609i) q^{82} +(3.55762 + 0.812003i) q^{83} +(-1.01251 + 0.0950420i) q^{84} +(19.3803 - 4.42343i) q^{85} +(12.1384 + 8.81999i) q^{86} +(-0.898102 - 0.277028i) q^{87} +(1.25811 - 7.56923i) q^{88} +(14.8093 - 4.56807i) q^{89} +(13.8153 + 0.414160i) q^{90} +(0.510862 + 6.47519i) q^{91} +(-8.96776 - 5.00134i) q^{92} +(1.02399 + 0.401885i) q^{93} +(6.65619 - 6.75585i) q^{94} +(7.99040 - 1.20436i) q^{95} +(0.396940 + 1.01212i) q^{96} +8.27599 q^{97} +(9.60025 + 2.41563i) q^{98} +8.03833i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} + O(q^{10}) \)	\( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98} + O(q^{100}) \)

Introduction

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