LMFDB - Embedded newform 538.2.e.a.191.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [538,2,Mod(9,538)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(538, base_ring=CyclotomicField(134))

chi = DirichletCharacter(H, H._module([109]))

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

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

chi := DirichletCharacter("538.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 538 = 2 \cdot 269 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	538.e (of order $134$, degree $66$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.29595162874$
Analytic rank:	$0$
Dimension:	$1452$
Relative dimension:	$22$ over $\Q(\zeta_{134})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{134}]$

Embedding invariants

Embedding label			191.10
Character	$\chi$	$=$	538.191
Dual form			538.2.e.a.369.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.186460 - 0.982463i) q^{2} +(2.60350 - 0.0610495i) q^{3} +(-0.930465 + 0.366380i) q^{4} +(0.0581344 - 0.220402i) q^{5} +(-0.545428 - 2.54646i) q^{6} +(2.03938 + 4.54226i) q^{7} +(0.533449 + 0.845832i) q^{8} +(3.77778 - 0.177268i) q^{9} +(-0.227376 - 0.0160187i) q^{10} +(-3.64464 - 4.09903i) q^{11} +(-2.40010 + 1.01067i) q^{12} +(0.357299 - 5.07163i) q^{13} +(4.08234 - 2.85057i) q^{14} +(0.137898 - 0.577365i) q^{15} +(0.731531 - 0.681808i) q^{16} +(5.65688 + 5.02979i) q^{17} +(-0.878564 - 3.67847i) q^{18} +(2.17951 + 1.44708i) q^{19} +(0.0266588 + 0.226376i) q^{20} +(5.58684 + 11.7013i) q^{21} +(-3.34756 + 4.34503i) q^{22} +(-0.0595928 - 2.54138i) q^{23} +(1.44047 + 2.16956i) q^{24} +(4.30433 + 2.44046i) q^{25} +(-5.04931 + 0.594625i) q^{26} +(2.03130 - 0.143106i) q^{27} +(-3.56177 - 3.47923i) q^{28} +(-1.19715 - 2.11146i) q^{29} +(-0.592952 - 0.0278236i) q^{30} +(3.77990 + 0.445134i) q^{31} +(-0.806252 - 0.591572i) q^{32} +(-9.73906 - 10.4493i) q^{33} +(3.88680 - 6.49552i) q^{34} +(1.11968 - 0.185422i) q^{35} +(-3.45015 + 1.54905i) q^{36} +(-3.66761 + 6.83749i) q^{37} +(1.01531 - 2.41111i) q^{38} +(0.620606 - 13.2258i) q^{39} +(0.217435 - 0.0684013i) q^{40} +(-6.87523 - 1.30484i) q^{41} +(10.4543 - 7.67068i) q^{42} +(2.98341 - 1.69152i) q^{43} +(4.89301 + 2.47868i) q^{44} +(0.180549 - 0.842935i) q^{45} +(-2.48570 + 0.532413i) q^{46} +(-9.52857 - 2.75378i) q^{47} +(1.86292 - 1.81975i) q^{48} +(-11.8218 + 13.2956i) q^{49} +(1.59507 - 4.68390i) q^{50} +(15.0347 + 12.7497i) q^{51} +(1.52569 + 4.84989i) q^{52} +(-5.16886 - 7.04462i) q^{53} +(-0.519352 - 1.96899i) q^{54} +(-1.11531 + 0.564991i) q^{55} +(-2.75408 + 4.14804i) q^{56} +(5.76271 + 3.63442i) q^{57} +(-1.85121 + 1.56986i) q^{58} +(-0.0826800 - 0.209976i) q^{59} +(0.0832263 + 0.587741i) q^{60} +(-3.69228 - 4.56688i) q^{61} +(-0.267473 - 3.79661i) q^{62} +(8.50954 + 16.7982i) q^{63} +(-0.430864 + 0.902417i) q^{64} +(-1.09703 - 0.373586i) q^{65} +(-8.45012 + 11.5166i) q^{66} +(-4.98618 - 1.96336i) q^{67} +(-7.10634 - 2.60748i) q^{68} +(-0.310300 - 6.61284i) q^{69} +(-0.390946 - 1.06547i) q^{70} +(-2.74518 + 3.93142i) q^{71} +(2.16519 + 3.10080i) q^{72} +(-2.57981 + 7.03093i) q^{73} +(7.40144 + 2.32837i) q^{74} +(11.3553 + 6.09096i) q^{75} +(-2.55814 - 0.547931i) q^{76} +(11.1861 - 24.9144i) q^{77} +(-13.1096 + 1.85636i) q^{78} +(-12.8060 - 9.86620i) q^{79} +(-0.107745 - 0.200867i) q^{80} +(-6.01621 + 0.565853i) q^{81} +6.99796i q^{82} +(0.0249625 + 0.265404i) q^{83} +(-9.48547 - 8.84073i) q^{84} +(1.43743 - 0.954382i) q^{85} +(-2.21815 - 2.61569i) q^{86} +(-3.24569 - 5.42411i) q^{87} +(1.52286 - 5.26938i) q^{88} +(2.54011 + 15.3386i) q^{89} +(-0.861818 - 0.0202088i) q^{90} +(23.7654 - 8.72006i) q^{91} +(0.986560 + 2.34283i) q^{92} +(9.86815 + 0.928146i) q^{93} +(-0.928785 + 9.87494i) q^{94} +(0.445645 - 0.396244i) q^{95} +(-2.13519 - 1.49094i) q^{96} +(4.81022 - 5.94962i) q^{97} +(15.2667 + 9.13534i) q^{98} +(-14.4953 - 14.8392i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1452 q + 22 q^{4} - 2 q^{5} + 2 q^{6} + 20 q^{9} + 2 q^{11} - 10 q^{13} + 12 q^{14} - 22 q^{16} + 2 q^{20} + 12 q^{21} - 4 q^{23} - 2 q^{24} - 24 q^{25} - 8 q^{30} - 12 q^{34} - 20 q^{36} - 396 q^{37} - 2 q^{38}+ \cdots + 18 q^{99}+O(q^{100}) $ 1452 * q + 22 * q^4 - 2 * q^5 + 2 * q^6 + 20 * q^9 + 2 * q^11 - 10 * q^13 + 12 * q^14 - 22 * q^16 + 2 * q^20 + 12 * q^21 - 4 * q^23 - 2 * q^24 - 24 * q^25 - 8 * q^30 - 12 * q^34 - 20 * q^36 - 396 * q^37 - 2 * q^38 + 24 * q^41 + 14 * q^43 - 2 * q^44 - 42 * q^45 - 402 * q^47 + 22 * q^49 + 12 * q^51 + 10 * q^52 - 10 * q^53 - 8 * q^54 - 4 * q^55 - 12 * q^56 + 16 * q^57 - 18 * q^58 - 268 * q^60 - 2 * q^61 + 4 * q^62 + 22 * q^64 + 16 * q^65 + 40 * q^66 + 6 * q^67 - 106 * q^73 + 40 * q^78 + 40 * q^79 - 2 * q^80 - 14 * q^81 - 402 * q^83 - 12 * q^84 - 100 * q^87 + 4 * q^92 - 340 * q^93 + 2 * q^96 - 64 * q^97 + 18 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/538\mathbb{Z}\right)^\times$.

$n$	$271$
$\chi(n)$	$e\left(\frac{59}{134}\right)$

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 $

$2$	−0.186460	−	0.982463i	−0.131847	−	0.694706i
$2$	−0.186460	−	0.982463i	−0.131847	−	0.694706i
$3$	2.60350	−	0.0610495i	1.50313	−	0.0352470i	0.736107	−	0.676865i	$-0.236662\pi$
$3$	2.60350	−	0.0610495i	1.50313	−	0.0352470i	0.767024	+	0.641618i	$0.221737\pi$
$4$	−0.930465	+	0.366380i	−0.465233	+	0.183190i
$5$	0.0581344	−	0.220402i	0.0259985	−	0.0985667i	−0.952674	−	0.303995i	$-0.901680\pi$
$5$	0.0581344	−	0.220402i	0.0259985	−	0.0985667i	0.978672	+	0.205428i	$0.0658586\pi$
$6$	−0.545428	−	2.54646i	−0.222670	−	1.03959i
$7$	2.03938	+	4.54226i	0.770814	+	1.71681i	0.694233	+	0.719750i	$0.255744\pi$
$7$	2.03938	+	4.54226i	0.770814	+	1.71681i	0.0765814	+	0.997063i	$0.475599\pi$
$8$	0.533449	+	0.845832i	0.188603	+	0.299047i
$9$	3.77778	−	0.177268i	1.25926	−	0.0590893i
$10$	−0.227376	−	0.0160187i	−0.0719027	−	0.00506557i
$11$	−3.64464	−	4.09903i	−1.09890	−	1.23590i	−0.969703	−	0.244285i	$-0.921447\pi$
$11$	−3.64464	−	4.09903i	−1.09890	−	1.23590i	−0.129197	−	0.991619i	$-0.541240\pi$
$12$	−2.40010	+	1.01067i	−0.692849	+	0.291757i
$13$	0.357299	−	5.07163i	0.0990968	−	1.40662i	−0.657853	−	0.753146i	$-0.728535\pi$
$13$	0.357299	−	5.07163i	0.0990968	−	1.40662i	0.756950	−	0.653472i	$-0.226688\pi$
$14$	4.08234	−	2.85057i	1.09105	−	0.761846i
$15$	0.137898	−	0.577365i	0.0356050	−	0.149075i
$16$	0.731531	−	0.681808i	0.182883	−	0.170452i
$17$	5.65688	+	5.02979i	1.37199	+	1.21990i	0.949589	+	0.313497i	$0.101500\pi$
$17$	5.65688	+	5.02979i	1.37199	+	1.21990i	0.422405	+	0.906407i	$0.361186\pi$
$18$	−0.878564	−	3.67847i	−0.207080	−	0.867025i
$19$	2.17951	+	1.44708i	0.500015	+	0.331984i	0.777644	−	0.628704i	$-0.216414\pi$
$19$	2.17951	+	1.44708i	0.500015	+	0.331984i	−0.277630	+	0.960688i	$0.589549\pi$
$20$	0.0266588	+	0.226376i	0.00596109	+	0.0506191i
$21$	5.58684	+	11.7013i	1.21915	+	2.55343i
$22$	−3.34756	+	4.34503i	−0.713703	+	0.926363i
$23$	−0.0595928	−	2.54138i	−0.0124260	−	0.529914i	−0.970188	−	0.242353i	$-0.922081\pi$
$23$	−0.0595928	−	2.54138i	−0.0124260	−	0.529914i	0.957762	−	0.287561i	$-0.0928445\pi$
$24$	1.44047	+	2.16956i	0.294035	+	0.442859i
$25$	4.30433	+	2.44046i	0.860867	+	0.488092i
$26$	−5.04931	+	0.594625i	−0.990252	+	0.116616i
$27$	2.03130	−	0.143106i	0.390924	−	0.0275407i
$28$	−3.56177	−	3.47923i	−0.673111	−	0.657512i
$29$	−1.19715	−	2.11146i	−0.222305	−	0.392089i	0.736375	−	0.676573i	$-0.236536\pi$
$29$	−1.19715	−	2.11146i	−0.222305	−	0.392089i	−0.958681	+	0.284484i	$0.908178\pi$
$30$	−0.592952	−	0.0278236i	−0.108258	−	0.00507987i
$31$	3.77990	+	0.445134i	0.678890	+	0.0799485i	0.449357	−	0.893352i	$-0.351653\pi$
$31$	3.77990	+	0.445134i	0.678890	+	0.0799485i	0.229533	+	0.973301i	$0.426280\pi$
$32$	−0.806252	−	0.591572i	−0.142527	−	0.104576i
$33$	−9.73906	−	10.4493i	−1.69535	−	1.81899i
$34$	3.88680	−	6.49552i	0.666581	−	1.11397i
$35$	1.11968	−	0.185422i	0.189261	−	0.0313420i
$36$	−3.45015	+	1.54905i	−0.575024	+	0.258174i
$37$	−3.66761	+	6.83749i	−0.602951	+	1.12408i	0.377257	+	0.926108i	$0.376867\pi$
$37$	−3.66761	+	6.83749i	−0.602951	+	1.12408i	−0.980208	+	0.197969i	$0.936566\pi$
$38$	1.01531	−	2.41111i	0.164706	−	0.391134i
$39$	0.620606	−	13.2258i	0.0993765	−	2.11782i
$40$	0.217435	−	0.0684013i	0.0343795	−	0.0108152i
$41$	−6.87523	−	1.30484i	−1.07373	−	0.203782i	−0.380707	−	0.924696i	$-0.624319\pi$
$41$	−6.87523	−	1.30484i	−1.07373	−	0.203782i	−0.693024	+	0.720914i	$0.743722\pi$
$42$	10.4543	−	7.67068i	1.61314	−	1.18361i
$43$	2.98341	−	1.69152i	0.454966	−	0.257955i	−0.248571	−	0.968614i	$-0.579961\pi$
$43$	2.98341	−	1.69152i	0.454966	−	0.257955i	0.703537	+	0.710658i	$0.251603\pi$
$44$	4.89301	+	2.47868i	0.737650	+	0.373675i
$45$	0.180549	−	0.842935i	0.0269146	−	0.125657i
$46$	−2.48570	+	0.532413i	−0.366496	+	0.0785001i
$47$	−9.52857	−	2.75378i	−1.38989	−	0.401680i	−0.503247	−	0.864143i	$-0.667861\pi$
$47$	−9.52857	−	2.75378i	−1.38989	−	0.401680i	−0.886639	+	0.462463i	$0.846966\pi$
$48$	1.86292	−	1.81975i	0.268889	−	0.262658i
$49$	−11.8218	+	13.2956i	−1.68882	+	1.89938i
$50$	1.59507	−	4.68390i	0.225577	−	0.662403i
$51$	15.0347	+	12.7497i	2.10528	+	1.78532i
$52$	1.52569	+	4.84989i	0.211575	+	0.672558i
$53$	−5.16886	−	7.04462i	−0.709997	−	0.967653i	−0.999944	−	0.0106103i	$-0.996623\pi$
$53$	−5.16886	−	7.04462i	−0.709997	−	0.967653i	0.289946	−	0.957043i	$-0.406362\pi$
$54$	−0.519352	−	1.96899i	−0.0706749	−	0.267946i
$55$	−1.11531	+	0.564991i	−0.150389	+	0.0761833i
$56$	−2.75408	+	4.14804i	−0.368030	+	0.554305i
$57$	5.76271	+	3.63442i	0.763289	+	0.481391i
$58$	−1.85121	+	1.56986i	−0.243076	+	0.206133i
$59$	−0.0826800	−	0.209976i	−0.0107640	−	0.0273365i	0.924983	−	0.380009i	$-0.124079\pi$
$59$	−0.0826800	−	0.209976i	−0.0107640	−	0.0273365i	−0.935747	+	0.352672i	$0.885273\pi$
$60$	0.0832263	+	0.587741i	0.0107445	+	0.0758771i
$61$	−3.69228	−	4.56688i	−0.472748	−	0.584729i	0.484211	−	0.874951i	$-0.339107\pi$
$61$	−3.69228	−	4.56688i	−0.472748	−	0.584729i	−0.956959	+	0.290222i	$0.906271\pi$
$62$	−0.267473	−	3.79661i	−0.0339691	−	0.482170i
$63$	8.50954	+	16.7982i	1.07210	+	2.11637i
$64$	−0.430864	+	0.902417i	−0.0538580	+	0.112802i
$65$	−1.09703	−	0.373586i	−0.136069	−	0.0463376i
$66$	−8.45012	+	11.5166i	−1.04014	+	1.41760i
$67$	−4.98618	−	1.96336i	−0.609159	−	0.239862i	0.0416153	−	0.999134i	$-0.486750\pi$
$67$	−4.98618	−	1.96336i	−0.609159	−	0.239862i	−0.650774	+	0.759271i	$0.725556\pi$
$68$	−7.10634	−	2.60748i	−0.861771	−	0.316204i
$69$	−0.310300	−	6.61284i	−0.0373557	−	0.796093i
$70$	−0.390946	−	1.06547i	−0.0467270	−	0.127348i
$71$	−2.74518	+	3.93142i	−0.325793	+	0.466574i	−0.948906	−	0.315559i	$-0.897808\pi$
$71$	−2.74518	+	3.93142i	−0.325793	+	0.466574i	0.623113	+	0.782132i	$0.285868\pi$
$72$	2.16519	+	3.10080i	0.255170	+	0.365433i
$73$	−2.57981	+	7.03093i	−0.301944	+	0.822908i	0.692858	+	0.721074i	$0.256351\pi$
$73$	−2.57981	+	7.03093i	−0.301944	+	0.822908i	−0.994801	+	0.101833i	$0.967529\pi$
$74$	7.40144	+	2.32837i	0.860400	+	0.270667i
$75$	11.3553	+	6.09096i	1.31120	+	0.703323i
$76$	−2.55814	−	0.547931i	−0.293439	−	0.0628520i
$77$	11.1861	−	24.9144i	1.27477	−	2.83926i
$78$	−13.1096	+	1.85636i	−1.48437	+	0.210192i
$79$	−12.8060	−	9.86620i	−1.44079	−	1.11003i	−0.974234	−	0.225541i	$-0.927585\pi$
$79$	−12.8060	−	9.86620i	−1.44079	−	1.11003i	−0.466554	−	0.884493i	$-0.654505\pi$
$80$	−0.107745	−	0.200867i	−0.0120462	−	0.0224577i
$81$	−6.01621	+	0.565853i	−0.668468	+	0.0628726i
$82$			6.99796i			0.772795i
$83$	0.0249625	+	0.265404i	0.00273999	+	0.0291319i	0.996869	−	0.0790655i	$-0.0251936\pi$
$83$	0.0249625	+	0.265404i	0.00273999	+	0.0291319i	−0.994129	+	0.108197i	$0.965492\pi$
$84$	−9.48547	−	8.84073i	−1.03495	−	0.964602i
$85$	1.43743	−	0.954382i	0.155912	−	0.103517i
$86$	−2.21815	−	2.61569i	−0.239189	−	0.282057i
$87$	−3.24569	−	5.42411i	−0.347974	−	0.581526i
$88$	1.52286	−	5.26938i	0.162338	−	0.561718i
$89$	2.54011	+	15.3386i	0.269251	+	1.62589i	0.693581	+	0.720378i	$0.256032\pi$
$89$	2.54011	+	15.3386i	0.269251	+	1.62589i	−0.424331	+	0.905507i	$0.639491\pi$
$90$	−0.861818	−	0.0202088i	−0.0908436	−	0.00213019i
$91$	23.7654	−	8.72006i	2.49129	−	0.914111i
$92$	0.986560	+	2.34283i	0.102856	+	0.244257i
$93$	9.86815	+	0.928146i	1.02328	+	0.0962443i
$94$	−0.928785	+	9.87494i	−0.0957968	+	1.01852i
$95$	0.445645	−	0.396244i	0.0457222	−	0.0406537i
$96$	−2.13519	−	1.49094i	−0.217922	−	0.152168i
$97$	4.81022	−	5.94962i	0.488404	−	0.604093i	−0.472379	−	0.881396i	$-0.656605\pi$
$97$	4.81022	−	5.94962i	0.488404	−	0.604093i	0.960783	+	0.277303i	$0.0894405\pi$
$98$	15.2667	+	9.13534i	1.54217	+	0.922808i
$99$	−14.4953	−	14.8392i	−1.45683	−	1.49139i
$100$	−4.89917	−	0.693740i	−0.489917	−	0.0693740i
$101$	−0.293542	+	0.465438i	−0.0292085	+	0.0463128i	−0.860119	−	0.510093i	$-0.829611\pi$
$101$	−0.293542	+	0.465438i	−0.0292085	+	0.0463128i	0.830911	+	0.556406i	$0.187820\pi$
$102$	9.72274	−	17.1484i	0.962695	−	1.69794i
$103$	4.73909	−	1.36961i	0.466957	−	0.134951i	−0.0358374	−	0.999358i	$-0.511410\pi$
$103$	4.73909	−	1.36961i	0.466957	−	0.134951i	0.502794	+	0.864406i	$0.332305\pi$
$104$	4.48035	−	2.40325i	0.439335	−	0.235658i
$105$	2.90377	−	0.551102i	0.283379	−	0.0537821i
$106$	−5.95729	+	6.39175i	−0.578623	+	0.620822i
$107$	−4.35841	−	15.0809i	−0.421343	−	1.45792i	−0.836395	−	0.548127i	$-0.815341\pi$
$107$	−4.35841	−	15.0809i	−0.421343	−	1.45792i	0.415052	−	0.909798i	$-0.363763\pi$
$108$	−1.83762	+	0.877383i	−0.176825	+	0.0844262i
$109$	−3.25175	+	2.62901i	−0.311461	+	0.251813i	−0.771707	−	0.635978i	$-0.780597\pi$
$109$	−3.25175	+	2.62901i	−0.311461	+	0.251813i	0.460246	+	0.887791i	$0.347761\pi$
$110$	0.763043	+	0.990405i	0.0727533	+	0.0944314i
$111$	−9.13119	+	18.0253i	−0.866694	+	1.71089i
$112$	4.58882	+	1.93234i	0.433603	+	0.182589i
$113$	−3.50128	−	10.2814i	−0.329373	−	0.967195i	−0.978452	−	0.206475i	$-0.933801\pi$
$113$	−3.50128	−	10.2814i	−0.329373	−	0.967195i	0.649079	−	0.760721i	$-0.275154\pi$
$114$	2.49617	−	6.33932i	0.233788	−	0.593732i
$115$	−0.563589	−	0.134607i	−0.0525550	−	0.0125522i
$116$	1.88751	+	1.52603i	0.175251	+	0.141688i
$117$	0.450757	−	19.2229i	0.0416725	−	1.77715i
$118$	−0.190877	+	0.120382i	−0.0175716	+	0.0110821i
$119$	−11.3101	+	35.9527i	−1.03680	+	3.29578i
$120$	0.561915	−	0.191357i	0.0512956	−	0.0174684i
$121$	−2.23214	+	18.9545i	−0.202922	+	1.72313i
$122$	−3.79832	+	4.47906i	−0.343884	+	0.405515i
$123$	−17.9793	−	2.97742i	−1.62114	−	0.268465i
$124$	−3.68016	+	0.970698i	−0.330488	+	0.0871713i
$125$	1.58450	−	1.62209i	0.141722	−	0.145084i
$126$	14.9169	−	11.4925i	1.32890	−	1.02383i
$127$	−0.483054	−	0.216881i	−0.0428641	−	0.0192451i	0.388045	−	0.921640i	$-0.373150\pi$
$127$	−0.483054	−	0.216881i	−0.0428641	−	0.0192451i	−0.430909	+	0.902395i	$0.641807\pi$
$128$	0.966930	+	0.255043i	0.0854653	+	0.0225428i
$129$	7.66404	−	4.58602i	0.674781	−	0.403777i
$130$	−0.162482	+	1.14745i	−0.0142507	+	0.100638i
$131$	2.39896	−	0.572965i	0.209598	−	0.0500602i	−0.126154	−	0.992011i	$-0.540263\pi$
$131$	2.39896	−	0.572965i	0.209598	−	0.0500602i	0.335752	+	0.941950i	$0.391010\pi$
$132$	12.8903	+	6.15453i	1.12195	+	0.535683i
$133$	−2.12817	+	12.8511i	−0.184536	+	1.11433i
$134$	−0.999203	+	5.26482i	−0.0863180	+	0.454812i
$135$	0.0865476	−	0.456022i	0.00744883	−	0.0392481i
$136$	−1.23670	+	7.46791i	−0.106046	+	0.640368i
$137$	10.5839	+	5.05334i	0.904244	+	0.431736i	0.825009	−	0.565120i	$-0.191170\pi$
$137$	10.5839	+	5.05334i	0.904244	+	0.431736i	0.0792349	+	0.996856i	$0.474752\pi$
$138$	−6.43901	+	1.53789i	−0.548125	+	0.130914i
$139$	−1.96657	+	13.8878i	−0.166802	+	1.17795i	0.712495	+	0.701678i	$0.247565\pi$
$139$	−1.96657	+	13.8878i	−0.166802	+	1.17795i	−0.879297	+	0.476274i	$0.841987\pi$
$140$	−0.973890	+	0.582758i	−0.0823087	+	0.0492520i
$141$	−24.9758	−	6.58774i	−2.10334	−	0.554788i
$142$	4.37434	+	1.96399i	0.367086	+	0.164814i
$143$	−22.0910	+	17.0197i	−1.84734	+	1.42326i
$144$	2.64270	−	2.70540i	0.220225	−	0.225450i
$145$	−0.534966	+	0.141106i	−0.0444265	+	0.0117182i
$146$	7.38865	+	1.22358i	0.611489	+	0.101264i
$147$	−29.9663	+	35.3369i	−2.47158	+	2.91454i
$148$	0.907461	−	7.70579i	0.0745928	−	0.633412i
$149$	−2.18367	+	0.743636i	−0.178893	+	0.0609210i	−0.410369	−	0.911920i	$-0.634600\pi$
$149$	−2.18367	+	0.743636i	−0.178893	+	0.0609210i	0.231475	+	0.972841i	$0.425645\pi$
$150$	3.86682	−	12.2919i	0.315725	−	1.00363i
$151$	4.87887	−	3.07700i	0.397036	−	0.250403i	−0.320030	−	0.947407i	$-0.603693\pi$
$151$	4.87887	−	3.07700i	0.397036	−	0.250403i	0.717067	+	0.697004i	$0.245484\pi$
$152$	−0.0613297	+	2.61545i	−0.00497450	+	0.212141i
$153$	22.2621	+	17.9987i	1.79978	+	1.45511i
$154$	−26.5632	−	6.34434i	−2.14053	−	0.511242i
$155$	0.317851	−	0.807220i	0.0255304	−	0.0648374i
$156$	4.26822	+	12.5335i	0.341731	+	1.00349i
$157$	4.35402	+	1.83346i	0.347488	+	0.146326i	0.554877	−	0.831932i	$-0.312765\pi$
$157$	4.35402	+	1.83346i	0.347488	+	0.146326i	−0.207389	+	0.978259i	$0.566497\pi$
$158$	−7.30536	+	14.4211i	−0.581184	+	1.14728i
$159$	−13.8872	−	18.0251i	−1.10133	−	1.42948i
$160$	−0.177255	+	0.143309i	−0.0140132	+	0.0113296i
$161$	11.4221	−	5.45353i	0.900186	−	0.429799i
$162$	1.67771	+	5.80519i	0.131814	+	0.456099i
$163$	14.1185	−	15.1482i	1.10585	−	1.18650i	0.124914	−	0.992168i	$-0.460134\pi$
$163$	14.1185	−	15.1482i	1.10585	−	1.18650i	0.980936	−	0.194331i	$-0.0622536\pi$
$164$	6.87523	−	1.30484i	0.536865	−	0.101891i
$165$	−2.86922	+	1.53904i	−0.223369	+	0.119814i
$166$	0.256095	−	0.0740120i	0.0198768	−	0.00574445i
$167$	3.67386	−	6.47974i	0.284292	−	0.501417i	−0.690850	−	0.722998i	$-0.742763\pi$
$167$	3.67386	−	6.47974i	0.284292	−	0.501417i	0.975142	+	0.221581i	$0.0711217\pi$
$168$	−6.91702	+	10.9676i	−0.533660	+	0.846166i
$169$	−12.7222	−	1.80151i	−0.978633	−	0.138578i
$170$	−1.20567	−	1.23427i	−0.0924706	−	0.0946643i
$171$	8.49025	+	5.08041i	0.649266	+	0.388508i
$172$	−2.15622	+	2.66697i	−0.164410	+	0.203354i
$173$	6.13768	+	4.28575i	0.466639	+	0.325839i	0.782158	−	0.623080i	$-0.214119\pi$
$173$	6.13768	+	4.28575i	0.466639	+	0.325839i	−0.315519	+	0.948919i	$0.602179\pi$
$174$	−4.72379	+	4.20015i	−0.358110	+	0.318412i
$175$	−2.30702	+	24.5284i	−0.174394	+	1.85418i
$176$	−5.46092	−	0.513625i	−0.411632	−	0.0387160i
$177$	−0.228076	−	0.541624i	−0.0171433	−	0.0407109i
$178$	14.5959	−	5.35559i	1.09401	−	0.401418i
$179$	15.3278	+	0.359423i	1.14566	+	0.0268645i	0.592041	−	0.805908i	$-0.298322\pi$
$179$	15.3278	+	0.359423i	1.14566	+	0.0268645i	0.553616	+	0.832772i	$0.313248\pi$
$180$	0.140840	+	0.850472i	0.0104976	+	0.0633904i
$181$	−3.48288	+	12.0514i	−0.258881	+	0.895774i	0.720450	+	0.693507i	$0.243935\pi$
$181$	−3.48288	+	12.0514i	−0.258881	+	0.895774i	−0.979330	+	0.202267i	$0.935169\pi$
$182$	−12.9984	−	21.7226i	−0.963507	−	1.61019i
$183$	−9.89165	−	11.6644i	−0.731212	−	0.862261i
$184$	2.11779	−	1.40610i	0.156126	−	0.103659i
$185$	1.29378	+	1.20584i	0.0951208	+	0.0886552i
$186$	−0.928146	−	9.86815i	−0.0680550	−	0.723568i
$187$		−	41.5195i		−	3.03621i
$188$	9.87494	−	0.928785i	0.720204	−	0.0677386i
$189$	4.79262	+	8.93485i	0.348612	+	0.649915i
$190$	−0.472389	−	0.363946i	−0.0342707	−	0.0264034i
$191$	1.61842	−	0.229175i	0.117105	−	0.0165825i	−0.0814070	−	0.996681i	$-0.525941\pi$
$191$	1.61842	−	0.229175i	0.117105	−	0.0165825i	0.198512	+	0.980098i	$0.436389\pi$
$192$	−1.06666	+	2.37575i	−0.0769797	+	0.171455i
$193$	5.26221	+	1.12712i	0.378782	+	0.0811316i	0.394865	−	0.918739i	$-0.370791\pi$
$193$	5.26221	+	1.12712i	0.378782	+	0.0811316i	−0.0160832	+	0.999871i	$0.505120\pi$
$194$	−6.74220	−	3.61649i	−0.484062	−	0.259649i
$195$	−2.87892	−	0.905658i	−0.206163	−	0.0648555i
$196$	6.12849	−	16.7024i	0.437749	−	1.19303i
$197$	10.0469	+	14.3883i	0.715814	+	1.02513i	0.997838	+	0.0657199i	$0.0209344\pi$
$197$	10.0469	+	14.3883i	0.715814	+	1.02513i	−0.282024	+	0.959407i	$0.591006\pi$
$198$	−11.8761	+	17.0080i	−0.844000	+	1.20870i
$199$	−3.77684	−	10.2933i	−0.267733	−	0.729671i	−0.998874	−	0.0474443i	$-0.984892\pi$
$199$	−3.77684	−	10.2933i	−0.267733	−	0.729671i	0.731141	−	0.682227i	$-0.238988\pi$
$200$	0.231926	+	4.94260i	0.0163996	+	0.349495i
$201$	−13.1014	−	4.80720i	−0.924100	−	0.339074i
$202$	0.512009	+	0.201609i	0.0360248	+	0.0141851i
$203$	7.14937	−	9.74386i	0.501788	−	0.683885i
$204$	−18.6605	−	6.35474i	−1.30650	−	0.444921i
$205$	−0.687277	+	1.43946i	−0.0480015	+	0.100536i
$206$	−2.22924	−	4.40061i	−0.155319	−	0.306605i
$207$	−0.675634	−	9.59021i	−0.0469598	−	0.666566i
$208$	−3.19651	−	3.95367i	−0.221638	−	0.274138i
$209$	−2.01190	−	14.2080i	−0.139166	−	0.982787i
$210$	−1.08287	−	2.75009i	−0.0747254	−	0.189774i
$211$	6.54546	−	5.55066i	0.450608	−	0.382123i	−0.392601	−	0.919709i	$-0.628425\pi$
$211$	6.54546	−	5.55066i	0.450608	−	0.382123i	0.843209	+	0.537586i	$0.180664\pi$
$212$	7.39045	+	4.66101i	0.507578	+	0.320119i
$213$	−6.90708	+	10.4030i	−0.473265	+	0.712804i
$214$	−14.0037	+	7.09395i	−0.957276	+	0.484933i
$215$	−0.199376	−	0.755885i	−0.0135974	−	0.0515509i
$216$	1.20464	+	1.64180i	0.0819653	+	0.111710i
$217$	5.68675	+	18.0771i	0.386042	+	1.22715i
$218$	3.18922	+	2.70452i	0.216002	+	0.183173i
$219$	−6.28730	+	18.4625i	−0.424856	+	1.24758i
$220$	0.830759	−	0.934333i	0.0560097	−	0.0629927i
$221$	27.5305	−	26.8925i	1.85190	−	1.80898i
$222$	19.4118	+	5.61005i	1.30283	+	0.376522i
$223$	−27.5693	+	5.90508i	−1.84618	+	0.395434i	−0.992177	−	0.124841i	$-0.960158\pi$
$223$	−27.5693	+	5.90508i	−1.84618	+	0.395434i	−0.853999	+	0.520275i	$0.825830\pi$
$224$	1.04282	−	4.86865i	0.0696763	−	0.325300i
$225$	16.6934	+	8.45650i	1.11290	+	0.563766i
$226$	−9.44827	+	5.35695i	−0.628489	+	0.356339i
$227$	−10.4896	+	7.69654i	−0.696219	+	0.510837i	−0.881700	−	0.471810i	$-0.843601\pi$
$227$	−10.4896	+	7.69654i	−0.696219	+	0.510837i	0.185481	+	0.982648i	$0.440616\pi$
$228$	−6.69358	−	1.27036i	−0.443293	−	0.0841319i
$229$	6.71061	−	2.11104i	0.443449	−	0.139502i	−0.0701410	−	0.997537i	$-0.522345\pi$
$229$	6.71061	−	2.11104i	0.443449	−	0.139502i	0.513590	+	0.858035i	$0.328315\pi$
$230$	−0.0271597	+	0.578804i	−0.00179086	+	0.0381652i
$231$	27.6019	−	65.5475i	1.81607	−	4.31271i
$232$	1.14732	−	2.13895i	0.0753255	−	0.140429i
$233$	10.1913	−	4.57566i	0.667651	−	0.299762i	−0.0473568	−	0.998878i	$-0.515080\pi$
$233$	10.1913	−	4.57566i	0.667651	−	0.299762i	0.715008	+	0.699116i	$0.246423\pi$
$234$	−18.9698	+	3.14144i	−1.24009	+	0.205363i
$235$	−1.16088	+	1.94003i	−0.0757272	+	0.126553i
$236$	0.153862	+	0.165083i	0.0100155	+	0.0107460i
$237$	−33.9427	−	24.9048i	−2.20482	−	1.61774i
$238$	37.4311	+	4.40801i	2.42629	+	0.285729i
$239$	12.4575	+	0.584555i	0.805810	+	0.0378117i	0.445795	−	0.895135i	$-0.352921\pi$
$239$	12.4575	+	0.584555i	0.805810	+	0.0378117i	0.360015	+	0.932947i	$0.382772\pi$
$240$	−0.292776	−	0.516380i	−0.0188986	−	0.0333322i
$241$	−2.00343	−	1.95700i	−0.129052	−	0.126062i	0.631395	−	0.775462i	$-0.282483\pi$
$241$	−2.00343	−	1.95700i	−0.129052	−	0.126062i	−0.760447	+	0.649400i	$0.775020\pi$
$242$	19.0383	−	1.34125i	1.22383	−	0.0862190i
$243$	−21.6957	+	2.55497i	−1.39178	+	0.163901i
$244$	5.10875	+	2.89654i	0.327054	+	0.185432i
$245$	2.24313	+	3.37847i	0.143308	+	0.215843i
$246$	0.427222	+	18.2192i	0.0272387	+	1.16161i
$247$	8.11782	−	10.5367i	0.516524	−	0.670432i
$248$	1.63988	+	3.43462i	0.104132	+	0.218098i
$249$	0.0811927	+	0.689456i	0.00514538	+	0.0436925i
$250$	−1.88909	−	1.25426i	−0.119476	−	0.0793261i
$251$	1.04569	+	4.37823i	0.0660036	+	0.276352i	0.995780	−	0.0917735i	$-0.0292536\pi$
$251$	1.04569	+	4.37823i	0.0660036	+	0.276352i	−0.929776	+	0.368125i	$0.880000\pi$
$252$	−14.0723	−	12.5124i	−0.886474	−	0.788206i
$253$	−10.2000	+	9.50668i	−0.641268	+	0.597680i
$254$	−0.123008	+	0.515022i	−0.00771818	+	0.0323154i
$255$	3.68410	−	2.57249i	0.230707	−	0.161095i
$256$	0.0702762	−	0.997528i	0.00439226	−	0.0623455i
$257$	8.12305	−	3.42059i	0.506702	−	0.213371i	−0.119789	−	0.992799i	$-0.538222\pi$
$257$	8.12305	−	3.42059i	0.506702	−	0.213371i	0.626491	+	0.779429i	$0.284491\pi$
$258$	−5.93463	−	6.67452i	−0.369474	−	0.415538i
$259$	−38.5373	−	2.71497i	−2.39459	−	0.168700i
$260$	1.15762	−	0.0543199i	0.0717925	−	0.00336878i
$261$	−4.89687	−	7.76443i	−0.303109	−	0.480606i
$262$	−1.01023	−	2.25005i	−0.0624120	−	0.139009i
$263$	−6.22379	−	29.0572i	−0.383775	−	1.79175i	−0.583738	−	0.811942i	$-0.698410\pi$
$263$	−6.22379	−	29.0572i	−0.383775	−	1.79175i	0.199962	−	0.979804i	$-0.435918\pi$
$264$	3.64308	−	13.8118i	0.224216	−	0.850057i
$265$	−1.85314	+	0.729691i	−0.113837	+	0.0448246i
$266$	13.0225	−	0.305365i	0.798462	−	0.0187232i
$267$	7.54958	+	39.7789i	0.462027	+	2.43443i
$268$	5.35880			0.327341
$269$	13.5923	+	9.17870i	0.828739	+	0.559635i
$269$	13.5923	+	9.17870i	0.828739	+	0.559635i
$270$	−0.464162			−0.0282480
$271$	2.27062	+	11.9639i	0.137930	+	0.726758i	0.981757	+	0.190142i	$0.0608948\pi$
$271$	2.27062	+	11.9639i	0.137930	+	0.726758i	−0.843826	+	0.536616i	$0.819702\pi$
$272$	7.56753	−	0.177451i	0.458849	−	0.0107596i
$273$	61.3408	−	24.1535i	3.71251	−	1.46184i
$274$	2.99124	−	11.3405i	0.180707	−	0.685106i
$275$	−5.68423	−	26.5382i	−0.342772	−	1.60031i
$276$	2.71154	+	6.03933i	0.163215	+	0.363525i
$277$	−1.98969	−	3.15484i	−0.119549	−	0.189556i	0.780731	−	0.624868i	$-0.214847\pi$
$277$	−1.98969	−	3.15484i	−0.119549	−	0.189556i	−0.900280	+	0.435312i	$0.856638\pi$
$278$	14.0110	−	0.657449i	0.840323	−	0.0394312i
$279$	14.3585	+	1.01156i	0.859624	+	0.0605608i
$280$	0.754129	+	0.848149i	0.0450678	+	0.0506866i
$281$	27.4131	−	11.5436i	1.63533	−	0.688633i	0.638608	−	0.769532i	$-0.279511\pi$
$281$	27.4131	−	11.5436i	1.63533	−	0.688633i	0.996722	+	0.0808992i	$0.0257792\pi$
$282$	−1.81523	+	25.7661i	−0.108095	+	1.53435i
$283$	5.95199	−	4.15609i	0.353809	−	0.247054i	−0.382119	−	0.924113i	$-0.624806\pi$
$283$	5.95199	−	4.15609i	0.353809	−	0.247054i	0.735929	+	0.677059i	$0.236746\pi$
$284$	1.11391	−	4.66383i	0.0660981	−	0.276747i
$285$	1.13605	−	1.05883i	0.0672935	−	0.0627195i
$286$	20.8403	+	18.5301i	1.23231	+	1.09571i
$287$	−8.09431	−	33.8902i	−0.477792	−	2.00047i
$288$	−3.15071	−	2.09191i	−0.185657	−	0.123267i
$289$	4.71319	+	40.0225i	0.277246	+	2.35426i
$290$	0.238381	+	0.499274i	0.0139982	+	0.0293184i
$291$	12.1602	−	15.7835i	0.712842	−	0.925246i
$292$	−0.175568	−	7.48722i	−0.0102743	−	0.438157i
$293$	−1.22671	−	1.84760i	−0.0716653	−	0.107938i	0.795512	−	0.605938i	$-0.207202\pi$
$293$	−1.22671	−	1.84760i	−0.0716653	−	0.107938i	−0.867177	+	0.498000i	$0.834068\pi$
$294$	40.3047	+	22.8518i	2.35062	+	1.33275i
$295$	−0.0510856	+	0.00601602i	−0.00297432	+	0.000350266i
$296$	−7.73985	+	0.545276i	−0.449870	+	0.0316935i
$297$	−7.98995	−	7.80479i	−0.463624	−	0.452880i
$298$	1.13776	+	2.00671i	0.0659087	+	0.116246i
$299$	−12.9102	−	0.605798i	−0.746618	−	0.0350342i
$300$	−12.7973	−	1.50706i	−0.738855	−	0.0870101i
$301$	13.7677	+	10.1018i	0.793555	+	0.582256i
$302$	−3.93275	−	4.21956i	−0.226304	−	0.242809i
$303$	−0.735823	+	1.22969i	−0.0422719	+	0.0706437i
$304$	2.58102	−	0.427423i	0.148031	−	0.0245144i
$305$	−1.22120	+	0.548292i	−0.0699255	+	0.0313951i
$306$	13.5320	−	25.2277i	0.773575	−	1.44217i
$307$	−9.59527	+	22.7864i	−0.547631	+	1.30049i	0.379307	+	0.925271i	$0.376163\pi$
$307$	−9.59527	+	22.7864i	−0.547631	+	1.30049i	−0.926938	+	0.375215i	$0.877569\pi$
$308$	−1.28010	+	27.2803i	−0.0729403	+	1.55444i
$309$	12.2546	−	3.85509i	0.697141	−	0.219309i
$310$	−0.852330	−	0.161762i	−0.0484091	−	0.00918748i
$311$	−2.96005	+	2.17188i	−0.167849	+	0.123156i	−0.672283	−	0.740294i	$-0.734686\pi$
$311$	−2.96005	+	2.17188i	−0.167849	+	0.123156i	0.504434	+	0.863450i	$0.331701\pi$
$312$	11.5179	−	6.53037i	0.652071	−	0.369709i
$313$	27.6148	+	13.9890i	1.56088	+	0.790705i	0.999325	−	0.0367323i	$-0.0116949\pi$
$313$	27.6148	+	13.9890i	1.56088	+	0.790705i	0.561557	+	0.827438i	$0.310202\pi$
$314$	0.989460	−	4.61953i	0.0558385	−	0.260695i
$315$	4.19704	−	0.898967i	0.236477	−	0.0506511i
$316$	15.5303	+	4.48829i	0.873649	+	0.252486i
$317$	−12.2411	+	11.9574i	−0.687527	+	0.671594i	−0.956560	−	0.291537i	$-0.905833\pi$
$317$	−12.2411	+	11.9574i	−0.687527	+	0.671594i	0.269033	+	0.963131i	$0.413296\pi$
$318$	−15.1196	+	17.0046i	−0.847865	+	0.953571i
$319$	−4.29177	+	12.6027i	−0.240293	+	0.705615i
$320$	0.173846	+	0.147425i	0.00971831	+	0.00824129i
$321$	−12.2678	−	38.9970i	−0.684721	−	2.17660i
$322$	−7.48765	−	10.2049i	−0.417271	−	0.568697i
$323$	5.05071	+	19.1485i	0.281029	+	1.06545i
$324$	5.39056	−	2.73073i	0.299475	−	0.151707i
$325$	13.9150	−	20.9580i	0.771868	−	1.16254i
$326$	−17.5151	−	11.0464i	−0.970071	−	0.611804i
$327$	−8.30543	+	7.04314i	−0.459291	+	0.389487i
$328$	−2.56391	−	6.51136i	−0.141568	−	0.359530i
$329$	−6.92403	−	48.8973i	−0.381734	−	2.69579i
$330$	2.04705	+	2.53194i	0.112686	+	0.139378i
$331$	0.277989	+	3.94588i	0.0152796	+	0.216885i	0.999255	+	0.0385829i	$0.0122844\pi$
$331$	0.277989	+	3.94588i	0.0152796	+	0.216885i	−0.983976	+	0.178302i	$0.942940\pi$
$332$	−0.120466	−	0.237804i	−0.00661141	−	0.0130512i
$333$	−12.6434	+	26.4807i	−0.692851	+	1.45113i
$334$	−7.05113	−	2.40122i	−0.385821	−	0.131389i
$335$	−0.722597	+	0.984825i	−0.0394797	+	0.0538067i
$336$	12.0650	+	4.75070i	0.658198	+	0.259172i
$337$	−6.57304	−	2.41180i	−0.358056	−	0.131379i	0.159117	−	0.987260i	$-0.449135\pi$
$337$	−6.57304	−	2.41180i	−0.358056	−	0.131379i	−0.517173	+	0.855881i	$0.673016\pi$
$338$	0.602268	+	12.8350i	0.0327591	+	0.698133i
$339$	−9.74325	−	26.5539i	−0.529181	−	1.44221i
$340$	−0.987817	+	1.41467i	−0.0535719	+	0.0767211i
$341$	−11.9518	−	17.1163i	−0.647224	−	0.926899i
$342$	3.40822	−	9.28864i	0.184295	−	0.502272i
$343$	−51.2541	−	16.1237i	−2.76746	−	0.870596i
$344$	3.02224	+	1.62112i	0.162948	+	0.0874050i
$345$	−1.47552	−	0.316043i	−0.0794394	−	0.0170152i
$346$	3.06615	−	6.82916i	0.164837	−	0.367138i
$347$	13.6703	−	1.93576i	0.733860	−	0.103917i	0.236708	−	0.971581i	$-0.423931\pi$
$347$	13.6703	−	1.93576i	0.733860	−	0.103917i	0.497152	+	0.867663i	$0.334379\pi$
$348$	5.00728	+	3.85779i	0.268419	+	0.206799i
$349$	−7.84501	−	14.6254i	−0.419934	−	0.782879i	0.579552	−	0.814935i	$-0.303227\pi$
$349$	−7.84501	−	14.6254i	−0.419934	−	0.782879i	−0.999486	+	0.0320557i	$0.989795\pi$
$350$	24.5284	−	2.30702i	1.31110	−	0.123315i
$351$		−	10.3531i		−	0.552610i
$352$	0.513625	+	5.46092i	0.0273763	+	0.291068i
$353$	4.54363	+	4.23479i	0.241833	+	0.225395i	0.793346	−	0.608771i	$-0.208337\pi$
$353$	4.54363	+	4.23479i	0.241833	+	0.225395i	−0.551513	+	0.834166i	$0.685949\pi$
$354$	−0.489598	+	0.325068i	−0.0260218	+	0.0172771i
$355$	0.706902	+	0.833595i	0.0375185	+	0.0442426i
$356$	−7.98323	−	13.3414i	−0.423110	−	0.707091i
$357$	−27.2510	+	94.2933i	−1.44227	+	4.99053i
$358$	−2.50491	−	15.1261i	−0.132389	−	0.799437i
$359$	−20.6856	−	0.485058i	−1.09175	−	0.0256004i	−0.526233	−	0.850340i	$-0.676396\pi$
$359$	−20.6856	−	0.485058i	−1.09175	−	0.0256004i	−0.565512	+	0.824740i	$0.691322\pi$
$360$	0.809295	−	0.296949i	0.0426536	−	0.0156506i
$361$	−4.71752	−	11.2029i	−0.248290	−	0.589627i
$362$	12.4895	+	1.17470i	0.656433	+	0.0617406i
$363$	−4.65423	+	49.4842i	−0.244284	+	2.59725i
$364$	−18.9180	+	16.8209i	−0.991572	+	0.881653i
$365$	1.39965	+	0.977334i	0.0732612	+	0.0511560i
$366$	−9.61549	+	11.8931i	−0.502610	+	0.621664i
$367$	16.8252	+	10.0679i	0.878267	+	0.525539i	0.880277	−	0.474459i	$-0.157356\pi$
$367$	16.8252	+	10.0679i	0.878267	+	0.525539i	−0.00201053	+	0.999998i	$0.500640\pi$
$368$	−1.77633	−	1.81847i	−0.0925974	−	0.0947942i
$369$	−26.2044	−	3.71064i	−1.36415	−	0.193168i
$370$	0.943455	−	1.49593i	0.0490479	−	0.0777699i
$371$	21.4572	−	37.8450i	1.11400	−	1.96481i
$372$	−9.52202	+	2.75188i	−0.493694	+	0.142679i
$373$	−6.94860	+	3.72721i	−0.359785	+	0.192987i	−0.642627	−	0.766179i	$-0.722156\pi$
$373$	−6.94860	+	3.72721i	−0.359785	+	0.192987i	0.282842	+	0.959166i	$0.408723\pi$
$374$	−40.7913	+	7.74173i	−2.10927	+	0.400315i
$375$	4.02621	−	4.31984i	0.207913	−	0.223076i
$376$	−2.75378	−	9.52857i	−0.142015	−	0.491399i
$377$	−11.1363	+	5.31709i	−0.573549	+	0.273844i
$378$	7.88452	−	6.37456i	0.405536	−	0.327872i
$379$	−10.1571	−	13.1836i	−0.521737	−	0.677197i	0.455283	−	0.890347i	$-0.349538\pi$
$379$	−10.1571	−	13.1836i	−0.521737	−	0.677197i	−0.977019	+	0.213150i	$0.931628\pi$
$380$	−0.269481	+	0.531966i	−0.0138241	+	0.0272893i
$381$	−1.27087	−	0.535161i	−0.0651087	−	0.0274171i
$382$	−0.526927	−	1.54731i	−0.0269599	−	0.0791672i
$383$	−5.46174	+	13.8707i	−0.279082	+	0.708761i	0.720796	+	0.693147i	$0.243776\pi$
$383$	−5.46174	+	13.8707i	−0.279082	+	0.708761i	−0.999878	+	0.0156142i	$0.995030\pi$
$384$	2.53297	+	0.604973i	0.129260	+	0.0308724i
$385$	−4.84089	−	3.91381i	−0.246714	−	0.199466i
$386$	0.126158	−	5.38008i	0.00642126	−	0.273839i
$387$	10.9708	−	6.91907i	0.557678	−	0.351716i
$388$	−2.29592	+	7.29829i	−0.116558	+	0.370514i
$389$	−7.34592	+	2.50161i	−0.372453	+	0.126837i	−0.502291	−	0.864699i	$-0.667509\pi$
$389$	−7.34592	+	2.50161i	−0.372453	+	0.126837i	0.129838	+	0.991535i	$0.458554\pi$
$390$	−0.352972	+	2.99730i	−0.0178734	+	0.151774i
$391$	12.4455	−	14.6760i	0.629396	−	0.742198i
$392$	−17.5522	−	2.90668i	−0.886519	−	0.146810i
$393$	6.21071	−	1.63817i	0.313289	−	0.0826348i
$394$	12.2627	−	12.5536i	0.617784	−	0.632440i
$395$	−2.91900	+	2.24890i	−0.146871	+	0.113154i
$396$	18.9241	+	8.49654i	0.950973	+	0.426967i
$397$	4.05567	+	1.06975i	0.203548	+	0.0536890i	0.355400	−	0.934714i	$-0.384345\pi$
$397$	4.05567	+	1.06975i	0.203548	+	0.0536890i	−0.151852	+	0.988403i	$0.548524\pi$
$398$	−9.40853	+	5.62989i	−0.471607	+	0.282201i
$399$	−4.75614	+	33.5877i	−0.238105	+	1.68149i
$400$	4.81268	−	1.14946i	0.240634	−	0.0574728i
$401$	30.3654	+	14.4981i	1.51638	+	0.724003i	0.991852	−	0.127392i	$-0.0406607\pi$
$401$	30.3654	+	14.4981i	1.51638	+	0.724003i	0.524525	+	0.851395i	$0.324243\pi$
$402$	−2.28001	+	13.7680i	−0.113717	+	0.686684i
$403$	3.60811	−	19.0112i	0.179733	−	0.947017i
$404$	0.102604	−	0.540622i	0.00510473	−	0.0268969i
$405$	−0.225034	+	1.35888i	−0.0111820	+	0.0675232i
$406$	−10.9060	−	5.20715i	−0.541258	−	0.258426i
$407$	41.3942	−	9.88656i	2.05183	−	0.490059i
$408$	−2.76385	+	19.5182i	−0.136831	+	0.966294i
$409$	−18.6588	+	11.1651i	−0.922619	+	0.552078i	−0.894274	−	0.447520i	$-0.852307\pi$
$409$	−18.6588	+	11.1651i	−0.922619	+	0.552078i	−0.0283450	+	0.999598i	$0.509024\pi$
$410$	1.54236	+	0.406822i	0.0761719	+	0.0200915i
$411$	27.8637	+	12.5102i	1.37441	+	0.617084i
$412$	−3.90777	+	3.01068i	−0.192522	+	0.148326i
$413$	0.785148	−	0.803775i	0.0386346	−	0.0395512i
$414$	−9.29604	+	2.45198i	−0.456876	+	0.120508i
$415$	0.0599468	+	0.00992733i	0.00294267	+	0.000487314i
$416$	−3.28831	+	3.87765i	−0.161223	+	0.190117i
$417$	−4.27211	+	36.2771i	−0.209206	+	1.77650i
$418$	−13.5837	+	4.62584i	−0.664400	+	0.226257i
$419$	4.70793	−	14.9656i	0.229997	−	0.731118i	−0.766089	−	0.642734i	$-0.777800\pi$
$419$	4.70793	−	14.9656i	0.229997	−	0.731118i	0.996086	−	0.0883838i	$-0.0281702\pi$
$420$	−2.49994	+	1.57666i	−0.121985	+	0.0769334i
$421$	0.825668	−	35.2112i	0.0402406	−	1.71609i	−0.492920	−	0.870075i	$-0.664070\pi$
$421$	0.825668	−	35.2112i	0.0402406	−	1.71609i	0.533160	−	0.846014i	$-0.321004\pi$
$422$	−6.67378	−	5.39569i	−0.324875	−	0.262658i
$423$	−36.4850	−	8.71406i	−1.77396	−	0.423692i
$424$	3.20124	−	8.12993i	0.155466	−	0.394824i
$425$	12.0741	+	35.4553i	0.585679	+	1.71983i
$426$	11.5085	+	4.84619i	0.557588	+	0.234799i
$427$	13.2140	−	26.0849i	0.639469	−	1.26234i
$428$	9.58068	+	12.4354i	0.463100	+	0.601088i
$429$	−56.4749	+	45.6594i	−2.72663	+	2.20446i
$430$	−0.705453	+	0.336822i	−0.0340200	+	0.0162430i
$431$	−1.50557	−	5.20955i	−0.0725208	−	0.250935i	0.916196	−	0.400730i	$-0.131243\pi$
$431$	−1.50557	−	5.20955i	−0.0725208	−	0.250935i	−0.988717	+	0.149794i	$0.952139\pi$
$432$	1.38839	−	1.48964i	0.0667989	−	0.0716704i
$433$	13.4079	−	2.54466i	0.644342	−	0.122289i	0.146022	−	0.989281i	$-0.453353\pi$
$433$	13.4079	−	2.54466i	0.644342	−	0.122289i	0.498321	+	0.866993i	$0.333950\pi$
$434$	16.6997	−	8.95767i	0.801612	−	0.429982i
$435$	−1.38417	+	0.400028i	−0.0663659	+	0.0191799i
$436$	2.06242	−	3.63758i	0.0987721	−	0.174208i
$437$	3.54771	−	5.62521i	0.169710	−	0.269090i
$438$	19.3111	+	2.73451i	0.922718	+	0.130660i
$439$	19.9673	+	20.4410i	0.952987	+	0.975596i	0.999728	−	0.0233113i	$-0.00742088\pi$
$439$	19.9673	+	20.4410i	0.952987	+	0.975596i	−0.0467411	+	0.998907i	$0.514884\pi$
$440$	−1.07285	−	0.641974i	−0.0511461	−	0.0306049i
$441$	−42.3031	+	52.3236i	−2.01444	+	2.49160i
$442$	−31.5542	−	22.0333i	−1.50088	−	1.04802i
$443$	−11.7109	+	10.4127i	−0.556400	+	0.494721i	−0.894913	−	0.446241i	$-0.852763\pi$
$443$	−11.7109	+	10.4127i	−0.556400	+	0.494721i	0.338513	+	0.940962i	$0.390076\pi$
$444$	1.89214	−	20.1174i	0.0897969	−	0.954730i
$445$	3.52832	+	0.331855i	0.167258	+	0.0157314i
$446$	10.9421	+	25.9847i	0.518123	+	1.23041i
$447$	−5.63978	+	2.06937i	−0.266753	+	0.0978777i
$448$	−4.97771	−	0.116722i	−0.235175	−	0.00551462i
$449$	−2.38595	−	14.4077i	−0.112600	−	0.679942i	−0.982436	−	0.186600i	$-0.940253\pi$
$449$	−2.38595	−	14.4077i	−0.112600	−	0.679942i	0.869836	−	0.493341i	$-0.164225\pi$
$450$	5.19553	−	17.9775i	0.244920	−	0.847467i
$451$	19.7092	+	32.9375i	0.928068	+	1.55096i
$452$	7.02473	+	8.28371i	0.330415	+	0.389633i
$453$	12.5143	−	8.30883i	0.587972	−	0.390383i
$454$	9.51745	+	8.87053i	0.446676	+	0.416315i
$455$	−0.540332	−	5.74487i	−0.0253312	−	0.269324i
$456$			6.81306i			0.319051i
$457$	28.9073	−	2.71887i	1.35223	−	0.127183i	0.607376	−	0.794415i	$-0.292222\pi$
$457$	28.9073	−	2.71887i	1.35223	−	0.127183i	0.744851	+	0.667231i	$0.232521\pi$
$458$	−3.32528	−	6.19930i	−0.155380	−	0.289674i
$459$	12.2106	+	9.40748i	0.569942	+	0.439104i
$460$	0.573718	−	0.0812405i	0.0267497	−	0.00378786i
$461$	−4.55545	+	10.1462i	−0.212169	+	0.472557i	−0.987225	−	0.159335i	$-0.949065\pi$
$461$	−4.55545	+	10.1462i	−0.212169	+	0.472557i	0.775056	+	0.631893i	$0.217722\pi$
$462$	−69.5446	−	14.8958i	−3.23551	−	0.693016i
$463$	−21.0369	−	11.2841i	−0.977668	−	0.524418i	−0.0955389	−	0.995426i	$-0.530457\pi$
$463$	−21.0369	−	11.2841i	−0.977668	−	0.524418i	−0.882129	+	0.471008i	$0.843890\pi$
$464$	−2.31537	−	0.728375i	−0.107488	−	0.0338139i
$465$	0.778244	−	2.12100i	0.0360902	−	0.0983591i
$466$	−6.39568	−	9.15934i	−0.296274	−	0.424298i
$467$	−14.4808	+	20.7382i	−0.670092	+	0.959649i	0.329786	+	0.944056i	$0.393023\pi$
$467$	−14.4808	+	20.7382i	−0.670092	+	0.959649i	−0.999878	+	0.0155931i	$0.995036\pi$
$468$	6.62346	+	18.0514i	0.306170	+	0.834424i
$469$	−1.25064	−	26.6526i	−0.0577493	−	1.23070i
$470$	2.12246	+	0.778780i	0.0979018	+	0.0359224i
$471$	11.4476	+	4.50761i	0.527478	+	0.207700i
$472$	0.133499	−	0.181945i	0.00614477	−	0.00837469i
$473$	−17.8071	−	6.06409i	−0.818770	−	0.278827i
$474$	−18.1391	+	37.9912i	−0.833157	+	1.74500i
$475$	5.84981	+	11.5477i	0.268408	+	0.529847i
$476$	−2.64869	−	37.5965i	−0.121402	−	1.72323i
$477$	−20.7756	−	25.6968i	−0.951249	−	1.17657i
$478$	−1.74853	−	12.3480i	−0.0799758	−	0.564786i
$479$	−1.92812	−	4.89668i	−0.0880979	−	0.223735i	0.879667	−	0.475590i	$-0.157765\pi$
$479$	−1.92812	−	4.89668i	−0.0880979	−	0.223735i	−0.967765	+	0.251855i	$0.918959\pi$
$480$	−0.452733	+	0.383926i	−0.0206644	+	0.0175237i
$481$	33.3668	+	21.0438i	1.52140	+	0.959514i
$482$	−1.54912	+	2.33320i	−0.0705606	+	0.106274i
$483$	29.4044	−	14.8956i	1.33795	−	0.677772i
$484$	−4.86760	−	18.4543i	−0.221255	−	0.838831i
$485$	−1.03167	−	1.40606i	−0.0468457	−	0.0638458i
$486$	6.55554	+	20.8388i	0.297366	+	0.945269i
$487$	18.4352	+	15.6334i	0.835378	+	0.708415i	0.958844	−	0.283934i	$-0.0916396\pi$
$487$	18.4352	+	15.6334i	0.835378	+	0.708415i	−0.123466	+	0.992349i	$0.539401\pi$
$488$	1.89317	−	5.55924i	0.0856997	−	0.251655i
$489$	35.8328	−	40.3003i	1.62042	−	1.82244i
$490$	2.90097	−	2.83374i	0.131052	−	0.128015i
$491$	−14.4032	−	4.16256i	−0.650008	−	0.187854i	−0.0637343	−	0.997967i	$-0.520301\pi$
$491$	−14.4032	−	4.16256i	−0.650008	−	0.187854i	−0.586273	+	0.810113i	$0.699406\pi$
$492$	17.8200	−	3.81688i	0.803388	−	0.172078i
$493$	3.84809	−	17.9657i	0.173309	−	0.809135i
$494$	−11.8655	−	6.01079i	−0.533855	−	0.270438i
$495$	−4.11325	+	2.33212i	−0.184877	+	0.104821i
$496$	3.06861	−	2.25154i	0.137785	−	0.101097i
$497$	−23.4560	−	4.45168i	−1.05215	−	0.199685i
$498$	0.662225	−	0.208325i	0.0296750	−	0.00933526i
$499$	−0.952649	+	20.3020i	−0.0426464	+	0.908843i	0.868230	+	0.496163i	$0.165258\pi$
$499$	−0.952649	+	20.3020i	−0.0426464	+	0.908843i	−0.910876	+	0.412680i	$0.864593\pi$
$500$	−0.880020	+	2.08983i	−0.0393557	+	0.0934599i
$501$	9.16932	−	17.0943i	0.409655	−	0.763717i
$502$	4.10647	−	1.84372i	0.183281	−	0.0822893i
$503$	−31.2253	+	5.17099i	−1.39227	+	0.230563i	−0.811902	−	0.583793i	$-0.801568\pi$
$503$	−31.2253	+	5.17099i	−1.39227	+	0.230563i	−0.580365	+	0.814356i	$0.697090\pi$
$504$	−9.66901	+	16.1586i	−0.430692	+	0.719761i
$505$	0.0855185	+	0.0917552i	0.00380552	+	0.00408305i
$506$	11.2419	+	8.24850i	0.499761	+	0.366690i
$507$	−33.2323	−	3.91355i	−1.47590	−	0.173807i
$508$	0.528926	+	0.0248192i	0.0234673	+	0.00110118i
$509$	11.0506	+	19.4904i	0.489809	+	0.863896i	0.999993	+	0.00383043i	$0.00121927\pi$
$509$	11.0506	+	19.4904i	0.489809	+	0.863896i	−0.510184	+	0.860066i	$0.670423\pi$
$510$	−3.21431	−	3.13982i	−0.142332	−	0.139034i
$511$	−37.1975	+	2.62058i	−1.64552	+	0.115928i
$512$	−0.993137	+	0.116955i	−0.0438909	+	0.00516874i
$513$	4.63433	+	2.62756i	0.204611	+	0.116010i
$514$	−4.87523	−	7.34278i	−0.215037	−	0.323876i
$515$	−0.0263597	−	1.12413i	−0.00116155	−	0.0495349i
$516$	−5.45090	+	7.07508i	−0.239962	+	0.311463i
$517$	23.4404	+	49.0944i	1.03091	+	2.15917i
$518$	4.51832	+	38.3677i	0.198524	+	1.68578i
$519$	16.2411	+	10.7832i	0.712905	+	0.473332i
$520$	−0.269217	−	1.12719i	−0.0118060	−	0.0494305i
$521$	1.28060	+	1.13865i	0.0561043	+	0.0498850i	0.692055	−	0.721844i	$-0.256705\pi$
$521$	1.28060	+	1.13865i	0.0561043	+	0.0498850i	−0.635951	+	0.771729i	$0.719392\pi$
$522$	−6.71519	+	6.25875i	−0.293916	+	0.273938i
$523$	3.61751	−	15.1462i	0.158182	−	0.662297i	−0.835444	−	0.549575i	$-0.814790\pi$
$523$	3.61751	−	15.1462i	0.158182	−	0.662297i	0.993627	−	0.112721i	$-0.0359567\pi$
$524$	−2.02222	+	1.41205i	−0.0883412	+	0.0616859i
$525$	−4.50887	+	64.0006i	−0.196783	+	2.79322i
$526$	−27.3872	+	11.5327i	−1.19414	+	0.502848i
$527$	19.1435	+	21.5302i	0.833904	+	0.937870i
$528$	−14.2489	−	1.00384i	−0.620102	−	0.0436864i
$529$	16.5197	−	0.775166i	0.718246	−	0.0337029i
$530$	1.06243	+	1.68458i	0.0461490	+	0.0731734i
$531$	−0.349569	−	0.778585i	−0.0151700	−	0.0337877i
$532$	−2.72819	−	12.7372i	−0.118282	−	0.552228i
$533$	−9.07418	+	34.4025i	−0.393046	+	1.49014i
$534$	37.6736	−	14.8344i	1.63030	−	0.641945i
$535$	−3.57723	+	0.0838825i	−0.154657	+	0.00362656i
$536$	−0.999203	−	5.26482i	−0.0431590	−	0.227406i
$537$	39.9280			1.72302
$538$	6.48330	−	15.0654i	0.279515	−	0.649516i
$539$	97.5853			4.20329
$540$	0.0865476	+	0.456022i	0.00372442	+	0.0196240i
$541$	−10.4975	+	0.246157i	−0.451324	+	0.0105831i	−0.248500	−	0.968632i	$-0.579937\pi$
$541$	−10.4975	+	0.246157i	−0.451324	+	0.0105831i	−0.202825	+	0.979215i	$0.565012\pi$
$542$	11.3308	−	4.46160i	0.486697	−	0.191642i
$543$	−8.33195	+	31.5885i	−0.357558	+	1.35559i
$544$	−1.58538	−	7.40173i	−0.0679727	−	0.317347i
$545$	0.390400	+	0.869528i	0.0167229	+	0.0372465i
$546$	−35.1676	−	55.7613i	−1.50503	−	2.38636i
$547$	−22.2894	+	1.04590i	−0.953025	+	0.0447196i	−0.517708	−	0.855558i	$-0.673214\pi$
$547$	−22.2894	+	1.04590i	−0.953025	+	0.0447196i	−0.435317	+	0.900277i	$0.643364\pi$
$548$	−11.6994	−	0.824227i	−0.499773	−	0.0352092i
$549$	−14.7582	−	16.5981i	−0.629864	−	0.708391i
$550$	−25.0129	+	10.5329i	−1.06655	+	0.449123i
$551$	0.446257	−	6.33434i	0.0190112	−	0.269852i
$552$	5.42782	−	3.79008i	0.231024	−	0.161316i
$553$	18.6985	−	78.2892i	0.795142	−	3.32919i
$554$	−2.72851	+	2.54305i	−0.115923	+	0.108044i
$555$	3.44198	+	3.06042i	0.146104	+	0.129908i
$556$	−3.25841	−	13.6427i	−0.138187	−	0.578578i
$557$	−26.5500	−	17.6278i	−1.12496	−	0.746914i	−0.154455	−	0.988000i	$-0.549362\pi$
$557$	−26.5500	−	17.6278i	−1.12496	−	0.746914i	−0.970504	+	0.241085i	$0.922497\pi$
$558$	−1.68347	−	14.2954i	−0.0712670	−	0.605170i
$559$	−7.51283	−	15.7351i	−0.317759	−	0.665526i
$560$	0.692660	−	0.899050i	0.0292702	−	0.0379918i
$561$	−2.53474	−	108.096i	−0.107017	−	4.56382i
$562$	−16.4526	−	24.7800i	−0.694011	−	1.04528i
$563$	−26.6405	−	15.1045i	−1.12276	−	0.636580i	−0.184613	−	0.982811i	$-0.559103\pi$
$563$	−26.6405	−	15.1045i	−1.12276	−	0.636580i	−0.938149	+	0.346231i	$0.887461\pi$
$564$	25.6527	−	3.02095i	1.08017	−	0.127205i
$565$	−2.46959	+	0.173984i	−0.103896	+	0.00731954i
$566$	−5.19301	−	5.07267i	−0.218278	−	0.213220i
$567$	−14.8396	−	26.1732i	−0.623205	−	1.09917i
$568$	−4.78974	−	0.224753i	−0.200973	−	0.00943042i
$569$	25.9856	+	3.06016i	1.08937	+	0.128288i	0.642483	−	0.766300i	$-0.277904\pi$
$569$	25.9856	+	3.06016i	1.08937	+	0.128288i	0.446891	+	0.894589i	$0.352531\pi$
$570$	−1.25208	−	0.918693i	−0.0524440	−	0.0384798i
$571$	−19.9169	−	21.3694i	−0.833495	−	0.894281i	0.162220	−	0.986755i	$-0.448135\pi$
$571$	−19.9169	−	21.3694i	−0.833495	−	0.894281i	−0.995715	+	0.0924736i	$0.970523\pi$
$572$	14.3192	−	23.9299i	0.598717	−	1.00056i
$573$	4.19958	−	0.695460i	0.175440	−	0.0290533i
$574$	−31.7866	+	14.2715i	−1.32675	+	0.595682i
$575$	5.94562	−	11.0844i	0.247950	−	0.462251i
$576$	−1.46774	+	3.48551i	−0.0611558	+	0.145230i
$577$	0.927515	−	19.7664i	0.0386129	−	0.822885i	−0.890923	−	0.454154i	$-0.849942\pi$
$577$	0.927515	−	19.7664i	0.0386129	−	0.822885i	0.929536	−	0.368731i	$-0.120208\pi$
$578$	38.4418	−	12.0931i	1.59897	−	0.503008i
$579$	13.7690	+	2.61319i	0.572219	+	0.108600i
$580$	0.446069	−	0.327295i	0.0185220	−	0.0135902i
$581$	−1.15463	+	0.654647i	−0.0479020	+	0.0271593i
$582$	−17.7741	−	9.00393i	−0.736760	−	0.373225i
$583$	−10.0375	+	46.8624i	−0.415710	+	1.94084i
$584$	−7.32318	+	1.56856i	−0.303035	+	0.0649074i
$585$	−4.21055	−	1.21686i	−0.174085	−	0.0503109i
$586$	−1.58647	+	1.54970i	−0.0655364	+	0.0640176i
$587$	2.52610	−	2.84104i	0.104263	−	0.117262i	−0.692878	−	0.721054i	$-0.743658\pi$
$587$	2.52610	−	2.84104i	0.104263	−	0.117262i	0.797142	+	0.603792i	$0.206344\pi$
$588$	14.9358	−	43.8588i	0.615944	−	1.80871i
$589$	7.59420	+	6.44001i	0.312914	+	0.265356i
$590$	0.0154359	+	0.0490679i	0.000635487	+	0.00202009i
$591$	27.0356	+	36.8467i	1.11209	+	1.51567i
$592$	1.97889	+	7.50244i	0.0813317	+	0.308349i
$593$	−39.5453	+	20.0327i	−1.62393	+	0.822645i	−0.624810	+	0.780777i	$0.714823\pi$
$593$	−39.5453	+	20.0327i	−1.62393	+	0.822645i	−0.999123	+	0.0418680i	$0.986669\pi$
$594$	−6.17811	+	9.30511i	−0.253491	+	0.381793i
$595$	7.26653	+	4.58286i	0.297899	+	0.187879i
$596$	1.75938	−	1.49198i	0.0720668	−	0.0611139i
$597$	−10.4614	−	26.5680i	−0.428157	−	1.08735i
$598$	1.81207	+	12.7968i	0.0741011	+	0.523299i
$599$	11.4696	+	14.1864i	0.468634	+	0.579641i	0.955929	−	0.293596i	$-0.0948522\pi$
$599$	11.4696	+	14.1864i	0.468634	+	0.579641i	−0.487295	+	0.873237i	$0.662016\pi$
$600$	0.905563	+	12.8539i	0.0369694	+	0.524759i
$601$	−0.286019	−	0.564613i	−0.0116670	−	0.0230310i	0.886161	−	0.463378i	$-0.153363\pi$
$601$	−0.286019	−	0.564613i	−0.0116670	−	0.0230310i	−0.897828	+	0.440347i	$0.854855\pi$
$602$	7.35749	−	15.4098i	0.299869	−	0.628056i
$603$	−19.1847	−	6.53325i	−0.781263	−	0.266055i
$604$	−3.41226	+	4.65056i	−0.138843	+	0.189229i
$605$	4.04784	+	1.59388i	0.164568	+	0.0648003i
$606$	1.34532	+	0.493630i	0.0546500	+	0.0200524i
$607$	0.751706	+	16.0197i	0.0305108	+	0.650219i	0.959769	+	0.280790i	$0.0905963\pi$
$607$	0.751706	+	16.0197i	0.0305108	+	0.650219i	−0.929259	+	0.369430i	$0.879553\pi$
$608$	−0.901183	−	2.45605i	−0.0365478	−	0.0996062i
$609$	18.0185	−	25.8046i	0.730148	−	1.04565i
$610$	0.766381	+	1.09755i	0.0310299	+	0.0444383i
$611$	−17.3707	+	47.3415i	−0.702743	+	1.91523i
$612$	−27.3084	−	8.59077i	−1.10388	−	0.347261i
$613$	13.4436	+	7.21112i	0.542983	+	0.291254i	0.721188	−	0.692739i	$-0.243596\pi$
$613$	13.4436	+	7.21112i	0.542983	+	0.291254i	−0.178205	+	0.983993i	$0.557029\pi$
$614$	24.1759	+	5.17825i	0.975659	+	0.208977i
$615$	−1.70145	+	3.78959i	−0.0686090	+	0.152811i
$616$	27.0406	−	3.82904i	1.08950	−	0.154277i
$617$	0.880939	+	0.678707i	0.0354653	+	0.0273237i	0.627890	−	0.778302i	$-0.283919\pi$
$617$	0.880939	+	0.678707i	0.0354653	+	0.0273237i	−0.592425	+	0.805626i	$0.701829\pi$
$618$	−6.07248	−	11.3209i	−0.244271	−	0.455393i
$619$	33.0670	−	3.11011i	1.32908	−	0.125006i	0.594809	−	0.803867i	$-0.297228\pi$
$619$	33.0670	−	3.11011i	1.32908	−	0.125006i	0.734266	+	0.678861i	$0.237526\pi$
$620$			0.867544i			0.0348414i
$621$	−0.484737	−	5.15377i	−0.0194518	−	0.206814i
$622$	2.68573	+	2.50317i	0.107688	+	0.100368i
$623$	−64.4916	+	42.8190i	−2.58380	+	1.71551i
$624$	−8.56347	−	10.0982i	−0.342813	−	0.404253i
$625$	12.4381	+	20.7862i	0.497523	+	0.831447i
$626$	8.59461	−	29.7389i	0.343510	−	1.18861i
$627$	−6.10538	−	36.8677i	−0.243825	−	1.47235i
$628$	−4.72301	−	0.110750i	−0.188469	−	0.00441940i
$629$	−55.1384	+	20.2315i	−2.19851	+	0.806684i
$630$	−1.66578	−	3.95582i	−0.0663664	−	0.157603i
$631$	2.33953	+	0.220044i	0.0931354	+	0.00875983i	0.140107	−	0.990136i	$-0.455255\pi$
$631$	2.33953	+	0.220044i	0.0931354	+	0.00875983i	−0.0469713	+	0.998896i	$0.514957\pi$
$632$	1.51380	−	16.0948i	0.0602156	−	0.640218i
$633$	16.7022	−	14.8507i	0.663854	−	0.590264i
$634$	14.0302	+	9.79681i	0.557209	+	0.389081i
$635$	−0.0758832	+	0.0938578i	−0.00301133	+	0.00372463i
$636$	19.5256	+	11.6838i	0.774240	+	0.463291i
$637$	63.2067	+	64.7062i	2.50434	+	2.56375i
$638$	13.1819	+	1.86660i	0.521877	+	0.0738996i
$639$	−9.67379	+	15.3387i	−0.382689	+	0.606788i
$640$	0.112424	−	0.198286i	0.00444394	−	0.00783796i
$641$	−22.9815	+	6.64169i	−0.907714	+	0.262331i	−0.698560	−	0.715552i	$-0.746175\pi$
$641$	−22.9815	+	6.64169i	−0.907714	+	0.262331i	−0.209154	+	0.977883i	$0.567071\pi$
$642$	−36.0256	+	19.3240i	−1.42182	+	0.762659i
$643$	−32.5778	+	6.18289i	−1.28474	+	0.243830i	−0.783454	−	0.621450i	$-0.786544\pi$
$643$	−32.5778	+	6.18289i	−1.28474	+	0.243830i	−0.501290	+	0.865279i	$0.667141\pi$
$644$	−8.62978	+	9.25914i	−0.340061	+	0.364861i
$645$	−0.565223	−	1.95577i	−0.0222556	−	0.0770086i
$646$	17.8709	−	8.53256i	0.703121	−	0.335709i
$647$	1.33604	−	1.08018i	0.0525253	−	0.0424663i	−0.602092	−	0.798427i	$-0.705666\pi$
$647$	1.33604	−	1.08018i	0.0525253	−	0.0424663i	0.654617	+	0.755961i	$0.272830\pi$
$648$	−3.68796	−	4.78685i	−0.144877	−	0.188045i
$649$	−0.559358	+	1.10419i	−0.0219567	+	0.0433434i
$650$	−23.1851	−	9.76318i	−0.909394	−	0.382943i
$651$	15.9090	+	46.7166i	0.623525	+	1.83097i
$652$	−7.58682	+	19.2676i	−0.297123	+	0.754579i
$653$	5.30849	+	1.26788i	0.207737	+	0.0496159i	0.334846	−	0.942273i	$-0.391316\pi$
$653$	5.30849	+	1.26788i	0.207737	+	0.0496159i	−0.127108	+	0.991889i	$0.540570\pi$
$654$	8.46825	+	6.84651i	0.331135	+	0.267720i
$655$	0.0131794	−	0.562044i	0.000514961	−	0.0219609i
$656$	−5.91910	+	3.73306i	−0.231102	+	0.145751i
$657$	−8.49960	+	27.0186i	−0.331601	+	1.05410i
$658$	−46.7487	+	15.9200i	−1.82245	+	0.620626i
$659$	0.488144	−	4.14512i	0.0190154	−	0.161471i	−0.980342	−	0.197304i	$-0.936781\pi$
$659$	0.488144	−	4.14512i	0.0190154	−	0.161471i	0.999358	+	0.0358327i	$0.0114084\pi$
$660$	2.10584	−	2.48325i	0.0819697	−	0.0966604i
$661$	−36.2322	−	6.00014i	−1.40927	−	0.233378i	−0.590285	−	0.807195i	$-0.700984\pi$
$661$	−36.2322	−	6.00014i	−1.40927	−	0.233378i	−0.818984	+	0.573817i	$0.805462\pi$
$662$	3.82485	−	1.00886i	0.148657	−	0.0392106i
$663$	70.0338	−	71.6953i	2.71989	−	2.78441i
$664$	−0.211171	+	0.162694i	−0.00819503	+	0.00631374i
$665$	2.70868	+	1.21614i	0.105038	+	0.0471600i
$666$	28.3738	+	7.48403i	1.09946	+	0.290000i
$667$	−5.29469	+	3.16824i	−0.205011	+	0.122675i
$668$	−1.04436	+	7.37521i	−0.0404073	+	0.285355i
$669$	−71.4161	+	17.0570i	−2.76111	+	0.659461i
$670$	1.10229	+	0.526294i	0.0425851	+	0.0203325i
$671$	−5.26274	+	31.7794i	−0.203166	+	1.22683i
$672$	2.41775	−	12.7392i	0.0932668	−	0.491425i
$673$	0.298897	−	1.57490i	0.0115216	−	0.0607078i	−0.976233	−	0.216725i	$-0.930463\pi$
$673$	0.298897	−	1.57490i	0.0115216	−	0.0607078i	0.987754	+	0.156017i	$0.0498655\pi$
$674$	−1.14389	+	6.90747i	−0.0440611	+	0.266066i
$675$	9.09264	+	4.34133i	0.349976	+	0.167098i
$676$	12.4976	−	2.98492i	0.480678	−	0.114805i
$677$	2.33256	−	16.4725i	0.0896476	−	0.633089i	−0.893335	−	0.449391i	$-0.851641\pi$
$677$	2.33256	−	16.4725i	0.0896476	−	0.633089i	0.982983	−	0.183698i	$-0.0588068\pi$
$678$	−24.2715	+	14.5236i	−0.932142	+	0.557777i
$679$	36.8346	+	9.71571i	1.41358	+	0.372855i
$680$	1.57405	+	0.706714i	0.0603619	+	0.0271013i
$681$	−26.8398	+	20.6783i	−1.02850	+	0.792395i
$682$	−14.5876	+	14.9337i	−0.558587	+	0.571839i
$683$	11.4526	−	3.02080i	0.438221	−	0.115588i	−0.0292978	−	0.999571i	$-0.509327\pi$
$683$	11.4526	−	3.02080i	0.438221	−	0.115588i	0.467519	+	0.883983i	$0.345148\pi$
$684$	−9.76124	−	1.61649i	−0.373230	−	0.0618079i
$685$	1.72905	−	2.03894i	0.0660638	−	0.0779038i
$686$	−6.28405	+	53.3616i	−0.239926	+	2.03736i
$687$	17.3422	−	5.90578i	0.661646	−	0.225320i
$688$	1.02916	−	3.27152i	0.0392365	−	0.124725i
$689$	−37.5746	+	23.6975i	−1.43148	+	0.902804i
$690$	−0.0353746	+	1.50857i	−0.00134669	+	0.0574304i
$691$	36.5811	+	29.5755i	1.39161	+	1.12511i	0.976545	+	0.215315i	$0.0690778\pi$
$691$	36.5811	+	29.5755i	1.39161	+	1.12511i	0.415067	+	0.909791i	$0.363758\pi$
$692$	−7.28111	−	1.73901i	−0.276786	−	0.0661074i
$693$	37.8419	−	96.1041i	1.43750	−	3.65069i
$694$	−4.45078	−	13.0696i	−0.168949	−	0.496116i
$695$	2.94658	+	1.24080i	0.111770	+	0.0470661i
$696$	2.85648	−	5.63879i	0.108274	−	0.213738i
$697$	−32.3293	−	41.9623i	−1.22456	−	1.58944i
$698$	−12.9061	+	10.4345i	−0.488504	+	0.394951i
$699$	26.2536	−	12.5349i	0.993002	−	0.474114i
$700$	−6.84013	−	23.6681i	−0.258533	−	0.894571i
$701$	−16.3263	+	17.5169i	−0.616635	+	0.661605i	−0.960780	−	0.277311i	$-0.910557\pi$
$701$	−16.3263	+	17.5169i	−0.616635	+	0.661605i	0.344145	+	0.938916i	$0.388169\pi$
$702$	−10.1716	+	1.93045i	−0.383901	+	0.0728600i
$703$	−17.8880	+	9.59508i	−0.674660	+	0.361885i
$704$	5.26938	−	1.52286i	0.198597	−	0.0573950i
$705$	−2.90390	+	5.12173i	−0.109367	+	0.192895i
$706$	3.31332	−	5.25357i	0.124698	−	0.197721i
$707$	−2.71279	−	0.384140i	−0.102025	−	0.0144471i
$708$	0.410657	+	0.420400i	0.0154334	+	0.0157996i
$709$	16.8700	+	10.0947i	0.633567	+	0.379115i	0.793988	−	0.607934i	$-0.208001\pi$
$709$	16.8700	+	10.0947i	0.633567	+	0.379115i	−0.160420	+	0.987049i	$0.551285\pi$
$710$	0.687166	−	0.849937i	0.0257889	−	0.0318976i
$711$	−50.1272	−	35.0022i	−1.87992	−	1.31269i
$712$	−11.6188	+	10.3309i	−0.435434	+	0.387165i
$713$	0.906000	−	9.63269i	0.0339300	−	0.360747i
$714$	97.7208	+	9.19111i	3.65711	+	0.343969i
$715$	2.46693	+	5.85833i	0.0922578	+	0.219089i
$716$	−14.3937	+	5.28139i	−0.537918	+	0.197375i
$717$	32.4688	+	0.761362i	1.21257	+	0.0284336i
$718$	3.38049	+	20.4133i	0.126159	+	0.761818i
$719$	1.00225	−	3.46798i	0.0373777	−	0.129334i	−0.939817	−	0.341677i	$-0.889005\pi$
$719$	1.00225	−	3.46798i	0.0373777	−	0.129334i	0.977195	+	0.212343i	$0.0681095\pi$
$720$	−0.442643	−	0.739733i	−0.0164963	−	0.0275682i
$721$	15.8859	+	18.7331i	0.591624	+	0.697655i
$722$	−10.1268	+	6.72368i	−0.376881	+	0.250229i
$723$	−5.33541	−	4.97275i	−0.198426	−	0.184939i
$724$	−1.17470	−	12.4895i	−0.0436572	−	0.464168i
$725$		−	12.0100i		−	0.446042i
$726$	49.4842	−	4.65423i	1.83653	−	0.172735i
$727$	−3.58912	−	6.69117i	−0.133113	−	0.248162i	0.805894	−	0.592060i	$-0.201685\pi$
$727$	−3.58912	−	6.69117i	−0.133113	−	0.248162i	−0.939007	+	0.343898i	$0.888252\pi$
$728$	20.0533	+	15.4498i	0.743226	+	0.572608i
$729$	−38.3796	+	5.43469i	−1.42147	+	0.201285i
$730$	0.699214	−	1.55734i	0.0258791	−	0.0576398i
$731$	25.3848	+	5.43719i	0.938891	+	0.201102i
$732$	13.4775	+	7.22926i	0.498141	+	0.267201i
$733$	0.507998	+	0.159807i	0.0187633	+	0.00590262i	0.309452	−	0.950915i	$-0.399854\pi$
$733$	0.507998	+	0.159807i	0.0187633	+	0.00590262i	−0.290688	+	0.956818i	$0.593884\pi$
$734$	6.75409	−	18.4074i	0.249298	−	0.679428i
$735$	6.04624	+	8.65891i	0.223019	+	0.319389i
$736$	−1.45536	+	2.08425i	−0.0536454	+	0.0768263i
$737$	10.1250	+	27.5942i	0.372958	+	1.01645i
$738$	1.24051	+	26.4368i	0.0456640	+	0.973150i
$739$	−41.1891	−	15.1132i	−1.51517	−	0.555950i	−0.554144	−	0.832421i	$-0.686954\pi$
$739$	−41.1891	−	15.1132i	−1.51517	−	0.555950i	−0.961022	+	0.276471i	$0.910835\pi$
$740$	−1.64562	−	0.647978i	−0.0604940	−	0.0238201i
$741$	20.4915	−	27.9278i	0.752773	−	1.02595i
$742$	−41.1822	−	14.0244i	−1.51185	−	0.514850i
$743$	−7.49018	+	15.6877i	−0.274788	+	0.575526i	−0.992700	−	0.120607i	$-0.961516\pi$
$743$	−7.49018	+	15.6877i	−0.274788	+	0.575526i	0.717912	+	0.696134i	$0.245098\pi$
$744$	4.47910	+	8.84191i	0.164212	+	0.324160i
$745$	0.0369523	+	0.524516i	0.00135383	+	0.0192168i
$746$	4.95748	+	6.13177i	0.181506	+	0.224500i
$747$	0.141351	+	0.998214i	0.00517175	+	0.0365227i
$748$	15.2119	+	38.6324i	0.556203	+	1.41254i
$749$	59.6129	−	50.5527i	2.17821	−	1.84716i
$750$	−4.99481	−	3.15013i	−0.182385	−	0.115026i
$751$	−3.73908	+	5.63159i	−0.136441	+	0.205500i	−0.894954	−	0.446158i	$-0.852792\pi$
$751$	−3.73908	+	5.63159i	−0.136441	+	0.205500i	0.758513	+	0.651658i	$0.225926\pi$
$752$	−8.84800	+	4.48218i	−0.322653	+	0.163448i
$753$	2.98975	+	11.3349i	0.108953	+	0.413066i
$754$	7.30032	+	9.94958i	0.265862	+	0.362342i
$755$	−0.394547	−	1.25419i	−0.0143590	−	0.0456447i
$756$	−7.73292	−	6.55764i	−0.281243	−	0.238499i
$757$	3.08947	−	9.07217i	0.112289	−	0.329734i	−0.876004	−	0.482304i	$-0.839800\pi$
$757$	3.08947	−	9.07217i	0.112289	−	0.329734i	0.988293	+	0.152571i	$0.0487552\pi$
$758$	−11.0585	+	12.4372i	−0.401663	+	0.451740i
$759$	−25.9753	+	25.3734i	−0.942844	+	0.920994i
$760$	0.572884	+	0.165565i	0.0207807	+	0.00600567i
$761$	−8.88375	+	1.90282i	−0.322036	+	0.0689771i	−0.367599	−	0.929984i	$-0.619820\pi$
$761$	−8.88375	+	1.90282i	−0.322036	+	0.0689771i	0.0455633	+	0.998961i	$0.485492\pi$
$762$	−0.288808	+	1.34837i	−0.0104624	+	0.0488463i
$763$	−18.5732	−	9.40874i	−0.672395	−	0.340619i
$764$	−1.42192	+	0.806197i	−0.0514433	+	0.0291672i
$765$	5.26113	−	3.86026i	0.190217	−	0.139568i
$766$	14.6459	+	2.77962i	0.529177	+	0.100432i
$767$	−1.09446	+	0.344299i	−0.0395187	+	0.0124319i
$768$	0.122065	−	2.60135i	0.00440466	−	0.0938682i
$769$	8.32543	−	19.7708i	0.300223	−	0.712954i

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:	\( N \)	\(=\)	\( 538 = 2 \cdot 269 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	538.e (of order \(134\), degree \(66\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.186460 - 0.982463i) q^{2} +(2.60350 - 0.0610495i) q^{3} +(-0.930465 + 0.366380i) q^{4} +(0.0581344 - 0.220402i) q^{5} +(-0.545428 - 2.54646i) q^{6} +(2.03938 + 4.54226i) q^{7} +(0.533449 + 0.845832i) q^{8} +(3.77778 - 0.177268i) q^{9} +(-0.227376 - 0.0160187i) q^{10} +(-3.64464 - 4.09903i) q^{11} +(-2.40010 + 1.01067i) q^{12} +(0.357299 - 5.07163i) q^{13} +(4.08234 - 2.85057i) q^{14} +(0.137898 - 0.577365i) q^{15} +(0.731531 - 0.681808i) q^{16} +(5.65688 + 5.02979i) q^{17} +(-0.878564 - 3.67847i) q^{18} +(2.17951 + 1.44708i) q^{19} +(0.0266588 + 0.226376i) q^{20} +(5.58684 + 11.7013i) q^{21} +(-3.34756 + 4.34503i) q^{22} +(-0.0595928 - 2.54138i) q^{23} +(1.44047 + 2.16956i) q^{24} +(4.30433 + 2.44046i) q^{25} +(-5.04931 + 0.594625i) q^{26} +(2.03130 - 0.143106i) q^{27} +(-3.56177 - 3.47923i) q^{28} +(-1.19715 - 2.11146i) q^{29} +(-0.592952 - 0.0278236i) q^{30} +(3.77990 + 0.445134i) q^{31} +(-0.806252 - 0.591572i) q^{32} +(-9.73906 - 10.4493i) q^{33} +(3.88680 - 6.49552i) q^{34} +(1.11968 - 0.185422i) q^{35} +(-3.45015 + 1.54905i) q^{36} +(-3.66761 + 6.83749i) q^{37} +(1.01531 - 2.41111i) q^{38} +(0.620606 - 13.2258i) q^{39} +(0.217435 - 0.0684013i) q^{40} +(-6.87523 - 1.30484i) q^{41} +(10.4543 - 7.67068i) q^{42} +(2.98341 - 1.69152i) q^{43} +(4.89301 + 2.47868i) q^{44} +(0.180549 - 0.842935i) q^{45} +(-2.48570 + 0.532413i) q^{46} +(-9.52857 - 2.75378i) q^{47} +(1.86292 - 1.81975i) q^{48} +(-11.8218 + 13.2956i) q^{49} +(1.59507 - 4.68390i) q^{50} +(15.0347 + 12.7497i) q^{51} +(1.52569 + 4.84989i) q^{52} +(-5.16886 - 7.04462i) q^{53} +(-0.519352 - 1.96899i) q^{54} +(-1.11531 + 0.564991i) q^{55} +(-2.75408 + 4.14804i) q^{56} +(5.76271 + 3.63442i) q^{57} +(-1.85121 + 1.56986i) q^{58} +(-0.0826800 - 0.209976i) q^{59} +(0.0832263 + 0.587741i) q^{60} +(-3.69228 - 4.56688i) q^{61} +(-0.267473 - 3.79661i) q^{62} +(8.50954 + 16.7982i) q^{63} +(-0.430864 + 0.902417i) q^{64} +(-1.09703 - 0.373586i) q^{65} +(-8.45012 + 11.5166i) q^{66} +(-4.98618 - 1.96336i) q^{67} +(-7.10634 - 2.60748i) q^{68} +(-0.310300 - 6.61284i) q^{69} +(-0.390946 - 1.06547i) q^{70} +(-2.74518 + 3.93142i) q^{71} +(2.16519 + 3.10080i) q^{72} +(-2.57981 + 7.03093i) q^{73} +(7.40144 + 2.32837i) q^{74} +(11.3553 + 6.09096i) q^{75} +(-2.55814 - 0.547931i) q^{76} +(11.1861 - 24.9144i) q^{77} +(-13.1096 + 1.85636i) q^{78} +(-12.8060 - 9.86620i) q^{79} +(-0.107745 - 0.200867i) q^{80} +(-6.01621 + 0.565853i) q^{81} +6.99796i q^{82} +(0.0249625 + 0.265404i) q^{83} +(-9.48547 - 8.84073i) q^{84} +(1.43743 - 0.954382i) q^{85} +(-2.21815 - 2.61569i) q^{86} +(-3.24569 - 5.42411i) q^{87} +(1.52286 - 5.26938i) q^{88} +(2.54011 + 15.3386i) q^{89} +(-0.861818 - 0.0202088i) q^{90} +(23.7654 - 8.72006i) q^{91} +(0.986560 + 2.34283i) q^{92} +(9.86815 + 0.928146i) q^{93} +(-0.928785 + 9.87494i) q^{94} +(0.445645 - 0.396244i) q^{95} +(-2.13519 - 1.49094i) q^{96} +(4.81022 - 5.94962i) q^{97} +(15.2667 + 9.13534i) q^{98} +(-14.4953 - 14.8392i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1452 q + 22 q^{4} - 2 q^{5} + 2 q^{6} + 20 q^{9} + 2 q^{11} - 10 q^{13} + 12 q^{14} - 22 q^{16} + 2 q^{20} + 12 q^{21} - 4 q^{23} - 2 q^{24} - 24 q^{25} - 8 q^{30} - 12 q^{34} - 20 q^{36} - 396 q^{37} - 2 q^{38}+ \cdots + 18 q^{99}+O(q^{100}) \) 1452 * q + 22 * q^4 - 2 * q^5 + 2 * q^6 + 20 * q^9 + 2 * q^11 - 10 * q^13 + 12 * q^14 - 22 * q^16 + 2 * q^20 + 12 * q^21 - 4 * q^23 - 2 * q^24 - 24 * q^25 - 8 * q^30 - 12 * q^34 - 20 * q^36 - 396 * q^37 - 2 * q^38 + 24 * q^41 + 14 * q^43 - 2 * q^44 - 42 * q^45 - 402 * q^47 + 22 * q^49 + 12 * q^51 + 10 * q^52 - 10 * q^53 - 8 * q^54 - 4 * q^55 - 12 * q^56 + 16 * q^57 - 18 * q^58 - 268 * q^60 - 2 * q^61 + 4 * q^62 + 22 * q^64 + 16 * q^65 + 40 * q^66 + 6 * q^67 - 106 * q^73 + 40 * q^78 + 40 * q^79 - 2 * q^80 - 14 * q^81 - 402 * q^83 - 12 * q^84 - 100 * q^87 + 4 * q^92 - 340 * q^93 + 2 * q^96 - 64 * q^97 + 18 * q^99

Introduction

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